Subgroups — C₃×#86613 #11910915

Order 1152.

2546 conjugacy classes of subgroups.

The subgroup lattice has 2314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5804	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5804	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃×#939	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×D₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₃×#935	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5720	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5719	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5621	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5621	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5615	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5613	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5610	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5602	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5601	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5597	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5595	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5593	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5593	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5591	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5591	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5589	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5587	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5586	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5564	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5564	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5556	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#5540	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3534	—	3	1	no	maximal
33	#86613	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
35	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₃×#67	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₃×Dic₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
46	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
47	C₃²×#121	C₂²	1	1	yes	characteristic
48	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
49	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
51	C₃²×#120	C₂²	1	1	yes	characteristic
52	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₃×#953	C₂²	1	1	yes	characteristic, complemented
58	C₃×#953	C₂²	1	1	yes	characteristic, complemented
59	C₃×#953	C₂²	1	1	yes	characteristic, complemented
60	C₃×#953	C₂²	1	1	yes	characteristic, complemented
61	C₃×#953	C₂²	1	1	yes	characteristic, complemented
62	C₃×#953	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
69	C₃×#940	C₂²	1	1	yes	characteristic, complemented
70	C₃×#939	C₂²	1	1	yes	characteristic
71	C₃×#939	C₂²	1	1	yes	characteristic
72	C₃×#939	C₂²	1	1	yes	characteristic, complemented
73	C₃×#939	C₂²	1	1	yes	characteristic, complemented
74	C₃×#939	C₂²	1	1	yes	characteristic, complemented
75	C₃×#939	C₂²	1	1	yes	characteristic, complemented
76	C₃×#939	C₂²	1	1	yes	characteristic, complemented
77	C₃×#939	C₂²	1	1	yes	characteristic, complemented
78	C₃×#939	C₂²	1	1	yes	characteristic, complemented
79	C₃×#939	C₂²	1	1	yes	characteristic, complemented
80	C₃×#939	C₂²	1	1	yes	characteristic, complemented
81	C₃×#939	C₂²	1	1	yes	characteristic, complemented
82	C₃×#939	C₂²	1	1	yes	characteristic, complemented
83	C₃×#939	C₂²	1	1	yes	characteristic, complemented
84	C₃×#939	C₂²	1	1	yes	characteristic, complemented
85	C₃×#939	C₂²	1	1	yes	characteristic, complemented
86	C₃×#939	C₂²	1	1	yes	characteristic, complemented
87	C₃×#939	C₂²	1	1	yes	characteristic, complemented
88	C₃×#939	C₂²	1	1	yes	characteristic, complemented
89	C₃×#939	C₂²	1	1	yes	characteristic, complemented
90	C₃×#939	C₂²	1	1	yes	characteristic, complemented
91	C₃×#939	C₂²	1	1	yes	characteristic, complemented
92	C₃×#938	C₂²	1	1	yes	characteristic, complemented
93	C₃×#938	C₂²	1	1	yes	characteristic, complemented
94	C₃×#938	C₂²	1	1	yes	characteristic, complemented
95	C₃×#938	C₂²	1	1	yes	characteristic, complemented
96	C₃×#938	C₂²	1	1	yes	characteristic, complemented
97	C₃×#938	C₂²	1	1	yes	characteristic, complemented
98	C₃×#937	C₂²	1	1	yes	characteristic
99	C₃×#937	C₂²	1	1	yes	characteristic, complemented
100	C₃×#937	C₂²	1	1	yes	characteristic, complemented
101	C₃×#937	C₂²	1	1	yes	characteristic, complemented
102	C₃×#937	C₂²	1	1	yes	characteristic, complemented
103	C₃×#937	C₂²	1	1	yes	characteristic, complemented
104	C₃×#936	C₂²	1	1	yes	characteristic, complemented
105	C₃×#936	C₂²	1	1	yes	characteristic, complemented
106	C₃×#936	C₂²	1	1	yes	characteristic, complemented
107	C₃×#935	C₂²	1	1	yes	characteristic, complemented
108	C₃×#935	C₂²	1	1	yes	characteristic, complemented
109	C₃×#935	C₂²	1	1	yes	characteristic, complemented
110	C₃×#935	C₂²	1	1	yes	characteristic, complemented
111	C₃×#935	C₂²	1	1	yes	characteristic, complemented
112	C₃×#935	C₂²	1	1	yes	characteristic, complemented
113	C₃×#935	C₂²	1	1	yes	characteristic, complemented
114	C₃×#935	C₂²	1	1	yes	characteristic, complemented
115	C₃×#935	C₂²	1	1	yes	characteristic, complemented
116	C₃×#935	C₂²	1	1	yes	characteristic, complemented
117	C₃×#935	C₂²	1	1	yes	characteristic, complemented
118	C₃×#935	C₂²	1	1	yes	characteristic, complemented
119	C₃×#935	C₂²	1	1	yes	characteristic, complemented
120	C₃×#935	C₂²	1	1	yes	characteristic, complemented
121	C₃×#935	C₂²	1	1	yes	characteristic, complemented
122	C₃×#935	C₂²	1	1	yes	characteristic, complemented
123	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
124	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
125	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
126	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
127	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
128	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
129	C₃×#930	C₂²	1	1	yes	characteristic, complemented
130	C₃×#929	C₂²	1	1	yes	characteristic, complemented
131	C₃×#929	C₂²	1	1	yes	characteristic, complemented
132	C₃×#929	C₂²	1	1	yes	characteristic, complemented
133	C₃×#929	C₂²	1	1	yes	characteristic, complemented
134	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
135	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
136	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
137	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	C₃×#924	C₂²	1	1	yes	characteristic, complemented
140	C₃×#924	C₂²	1	1	yes	characteristic, complemented
141	C₃×#924	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₃×#898	C₂²	1	1	yes	characteristic, complemented
146	C₃×#896	C₂²	1	1	yes	characteristic, complemented
147	C₃×#896	C₂²	1	1	yes	characteristic, complemented
148	C₃×#896	C₂²	1	1	yes	characteristic, complemented
149	C₃×#894	C₂²	1	1	yes	characteristic, complemented
150	C₃×#889	C₂²	1	1	yes	characteristic, complemented
151	C₃×#889	C₂²	1	1	yes	characteristic, complemented
152	C₃×#889	C₂²	1	1	yes	characteristic, complemented
153	C₃×#886	C₂²	1	1	yes	characteristic, complemented
154	C₃×#886	C₂²	1	1	yes	characteristic, complemented
155	C₃×#885	C₂²	1	1	yes	characteristic, complemented
156	C₃×#885	C₂²	1	1	yes	characteristic, complemented
157	C₃×#885	C₂²	1	1	yes	characteristic, complemented
158	C₃×#884	C₂²	1	1	yes	characteristic, complemented
159	C₃×#884	C₂²	1	1	yes	characteristic, complemented
160	C₃×#884	C₂²	1	1	yes	characteristic, complemented
161	C₃×#883	C₂²	1	1	yes	characteristic, complemented
162	C₃×#883	C₂²	1	1	yes	characteristic, complemented
163	C₃×#883	C₂²	1	1	yes	characteristic, complemented
164	C₃×#883	C₂²	1	1	yes	characteristic, complemented
165	C₃×#883	C₂²	1	1	yes	characteristic, complemented
166	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₃×#879	C₂²	1	1	yes	characteristic, complemented
173	C₃×#879	C₂²	1	1	yes	characteristic, complemented
174	C₃×#879	C₂²	1	1	yes	characteristic, complemented
175	C₃×#879	C₂²	1	1	yes	characteristic, complemented
176	C₃×#879	C₂²	1	1	yes	characteristic, complemented
177	C₃×#878	C₂²	1	1	yes	characteristic, complemented
178	C₃×#878	C₂²	1	1	yes	characteristic, complemented
179	C₃×#878	C₂²	1	1	yes	characteristic, complemented
180	C₃×#878	C₂²	1	1	yes	characteristic, complemented
181	C₃×#878	C₂²	1	1	yes	characteristic, complemented
182	C₃×#878	C₂²	1	1	yes	characteristic, complemented
183	C₃×#877	C₂²	1	1	yes	characteristic, complemented
184	C₃×#877	C₂²	1	1	yes	characteristic, complemented
185	C₃×#876	C₂²	1	1	yes	characteristic, complemented
186	C₃×#876	C₂²	1	1	yes	characteristic, complemented
187	C₃×#872	C₂²	1	1	yes	characteristic, complemented
188	C₃×#870	C₂²	1	1	yes	characteristic, complemented
189	C₃×#562	—	3	1	no	—
190	C₃×#562	—	3	1	no	—
191	C₃×#560	—	3	1	no	—
192	C₃×#560	—	3	1	no	—
193	C₃×#553	—	3	1	no	—
194	C₃×#553	—	3	1	no	—
195	C₃×#551	—	3	1	no	—
196	C₃×#551	—	3	1	no	—
197	C₃×#546	—	3	1	no	—
198	C₃×#546	—	3	1	no	—
199	C₃×#546	—	3	1	no	—
200	C₃×#546	—	3	1	no	—
201	C₃×#546	—	3	1	no	—
202	C₃×#546	—	3	1	no	—
203	C₃×D₄²	—	2	1	no	—
204	C₃×D₄²	—	3	1	no	—
205	C₃×D₄²	D₃	1	1	yes	characteristic, complemented
206	C₃×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
207	C₃×#540	—	3	1	no	—
208	C₃×#540	—	3	1	no	—
209	C₃×#539	—	3	1	no	—
210	C₃×#539	—	3	1	no	—
211	C₃×#539	—	3	1	no	—
212	C₃×#538	—	3	1	no	—
213	C₃×#538	—	3	1	no	—
214	C₃×#538	—	3	1	no	—
215	C₃×#537	—	3	1	no	—
216	C₃×#534	—	3	1	no	—
217	C₃×#534	—	3	1	no	—
218	C₃×#534	—	3	1	no	—
219	C₃×#525	—	3	1	no	—
220	C₂×C₃×#123	—	3	1	no	—
221	C₂×C₃×#121	—	3	1	no	—
222	#5806	C₂×C₃	1	1	yes	characteristic, complemented
223	#5806	C₂×C₃	1	1	yes	characteristic, complemented
224	#5806	C₂×C₃	1	1	yes	characteristic, complemented
225	#5804	C₂×C₃	1	1	yes	characteristic, complemented
226	#5804	C₂×C₃	1	1	yes	characteristic, complemented
227	C₂×#939	C₂×C₃	1	1	yes	characteristic, complemented
228	D₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
229	C₂×#935	C₂×C₃	1	1	yes	characteristic, complemented
230	#5720	C₂×C₃	1	1	yes	characteristic, complemented
231	#5719	C₂×C₃	1	1	yes	characteristic, complemented
232	#5621	C₂×C₃	1	1	yes	characteristic, complemented
233	#5621	C₂×C₃	1	1	yes	characteristic, complemented
234	#5615	C₂×C₃	1	1	yes	characteristic, complemented
235	#5613	C₂×C₃	1	1	yes	characteristic, complemented
236	#5610	C₂×C₃	1	1	yes	characteristic, complemented
237	#5602	C₂×C₃	1	1	yes	characteristic, complemented
238	#5601	C₂×C₃	1	1	yes	characteristic, complemented
239	#5597	C₂×C₃	1	1	yes	characteristic, complemented
240	#5595	C₂×C₃	1	1	yes	characteristic, complemented
241	#5593	C₂×C₃	1	1	yes	characteristic, complemented
242	#5593	C₂×C₃	1	1	yes	characteristic, complemented
243	#5591	C₂×C₃	1	1	yes	characteristic, complemented
244	#5591	C₂×C₃	1	1	yes	characteristic, complemented
245	#5589	C₂×C₃	1	1	yes	characteristic, complemented
246	#5587	C₂×C₃	1	1	yes	characteristic, complemented
247	#5586	C₂×C₃	1	1	yes	characteristic, complemented
248	#5564	C₂×C₃	1	1	yes	characteristic, complemented
249	#5564	C₂×C₃	1	1	yes	characteristic, complemented
250	#5556	C₂×C₃	1	1	yes	characteristic, complemented
251	#5540	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
253	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
254	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
255	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
256	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
257	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
258	C₂×C₃²×D₄	—	4	2	no	—
259	C₂×C₃²×D₄	—	4	2	no	—
260	C₂×C₃²×D₄	—	4	2	no	—
261	C₂×C₃²×D₄	—	4	2	no	—
262	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
263	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
264	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
265	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
267	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
268	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
270	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
271	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
272	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
275	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
276	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
277	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
278	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
282	C₂×C₃×#67	—	4	2	no	—
283	C₂×C₃×#67	—	4	2	no	—
284	C₂×C₃×#67	—	4	2	no	—
285	C₂×C₃×#67	C₂³	1	1	yes	characteristic
286	C₂×C₃×#67	C₂³	1	1	yes	characteristic
287	C₂×C₃×#67	C₂³	1	1	yes	characteristic
288	C₂×C₃×#67	C₂³	1	1	yes	characteristic
289	C₂×C₃×#67	C₂³	1	1	yes	characteristic
290	C₂×C₃×#67	C₂³	1	1	yes	characteristic
291	C₂×C₃×#67	C₂³	1	1	yes	characteristic
292	C₂×C₃×#67	C₂³	1	1	yes	characteristic
293	C₂×C₃×#67	C₂³	1	1	yes	characteristic
294	C₂×C₃×#67	C₂³	1	1	yes	characteristic
295	C₂×C₃×#67	C₂³	1	1	yes	characteristic
296	C₂×C₃×#67	C₂³	1	1	yes	characteristic
297	C₂×C₃×#67	C₂³	1	1	yes	characteristic
298	C₂×C₃×#67	C₂³	1	1	yes	characteristic
299	C₂×C₃×#67	C₂³	1	1	yes	characteristic
300	C₂×C₃×#67	C₂³	1	1	yes	characteristic
301	C₂×C₃×#67	C₂³	1	1	yes	characteristic
302	C₂×C₃×#67	C₂³	1	1	yes	characteristic
303	C₂×C₃×#67	C₂³	1	1	yes	characteristic
304	C₂×C₃×#67	C₂³	1	1	yes	characteristic
305	C₂²×C₃×Dic₃	—	4	2	no	—
306	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
307	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
308	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
309	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
310	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
311	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
312	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
313	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
314	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
315	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
316	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
317	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
318	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
319	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
320	C₃×#237	—	4	2	no	—
321	C₃×#237	—	4	2	no	—
322	C₃×#237	—	4	2	no	—
323	C₃×D₃×D₄	—	4	2	no	—
324	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
325	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
326	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
327	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
328	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
329	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
330	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
331	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
332	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
333	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₃²×C₄²	C₂³	1	1	yes	characteristic
344	C₃×#217	C₂³	1	1	yes	characteristic
345	C₃×#217	C₂³	1	1	yes	characteristic
346	C₃×#217	C₂³	1	1	yes	characteristic
347	C₃×#217	C₂³	1	1	yes	characteristic
348	C₃×#217	C₂³	1	1	yes	characteristic
349	C₃×#217	C₂³	1	1	yes	characteristic
350	C₃×#217	C₂³	1	1	yes	characteristic
351	C₃×#217	C₂³	1	1	yes	characteristic
352	C₃×#217	C₂³	1	1	yes	characteristic
353	C₃×#217	C₂³	1	1	yes	characteristic
354	C₃×#217	C₂³	1	1	yes	characteristic
355	C₃×#217	C₂³	1	1	yes	characteristic
356	C₃×#217	C₂³	1	1	yes	characteristic
357	C₃×#217	C₂³	1	1	yes	characteristic
358	C₃×#217	C₂³	1	1	yes	characteristic
359	C₃×#217	C₂³	1	1	yes	characteristic
360	C₃×#217	C₂³	1	1	yes	characteristic
361	C₃×#217	C₂³	1	1	yes	characteristic
362	C₃×#217	C₂³	1	1	yes	characteristic
363	C₃×#217	C₂³	1	1	yes	characteristic
364	C₃×#217	C₂³	1	1	yes	characteristic
365	C₃×#217	C₂³	1	1	yes	characteristic
366	C₃×#217	C₂³	1	1	yes	characteristic
367	C₃×#217	C₂³	1	1	yes	characteristic
368	C₃×#217	C₂³	1	1	yes	characteristic
369	C₃×#217	C₂³	1	1	yes	characteristic
370	C₃×#217	C₂³	1	1	yes	characteristic
371	C₃×#217	C₂³	1	1	yes	characteristic
372	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
373	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
374	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
375	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
376	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
377	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
378	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
379	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
380	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
381	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
382	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
383	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
384	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
385	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
386	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
387	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
388	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
389	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
390	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
391	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
392	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
393	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
394	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
395	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
396	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
397	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
398	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
399	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
400	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
401	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
402	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
403	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
404	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
405	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
406	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
407	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
408	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
409	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
410	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
411	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
412	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
413	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
414	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
415	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
416	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
417	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
418	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
419	#3534	—	3	1	no	Sylow
420	C₂×C₃×#41	—	3	1	no	—
421	C₂×C₃×#41	—	3	1	no	—
422	C₂×C₃×#41	—	3	1	no	—
423	C₂²×C₃×D₄	—	2	1	no	—
424	C₂²×C₃×D₄	—	2	1	no	—
425	C₂²×C₃×D₄	—	2	1	no	—
426	C₂²×C₃×D₄	—	2	1	no	—
427	C₂²×C₃×D₄	—	3	1	no	—
428	C₂²×C₃×D₄	—	3	1	no	—
429	C₂²×C₃×D₄	—	3	1	no	—
430	C₂²×C₃×D₄	—	3	1	no	—
431	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
432	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
433	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
434	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
435	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
436	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
438	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₂³×C₃×C₄	—	3	1	no	—
440	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
441	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
442	C₂²×#67	C₂²×C₃	1	1	yes	characteristic, complemented
443	C₂³×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
444	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
445	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
446	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
447	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
448	C₃×#127	—	2	1	no	—
449	C₃×#127	—	3	1	no	—
450	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
451	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
452	C₃×#126	—	3	1	no	—
453	C₃×#126	—	3	1	no	—
454	C₃×#126	—	3	1	no	—
455	C₃×#126	—	3	1	no	—
456	C₃×#126	—	3	1	no	—
457	C₃×#126	—	3	1	no	—
458	C₃×#126	—	3	1	no	—
459	C₃×#126	—	3	1	no	—
460	C₃×#125	—	3	1	no	—
461	C₃×#125	—	3	1	no	—
462	C₃×#125	—	3	1	no	—
463	C₃×#125	—	3	1	no	—
464	C₃×#124	—	3	1	no	—
465	C₃×#124	—	3	1	no	—
466	C₃×#124	—	3	1	no	—
467	C₃×#124	—	3	1	no	—
468	C₃×#124	—	3	1	no	—
469	C₃×#124	—	3	1	no	—
470	C₃×#123	—	3	1	no	—
471	C₃×#123	—	3	1	no	—
472	C₃×#123	—	3	1	no	—
473	C₃×#123	—	3	1	no	—
474	C₃×#123	—	3	1	no	—
475	C₃×#123	—	3	1	no	—
476	C₃×#123	—	3	1	no	—
477	C₃×#123	—	3	1	no	—
478	C₃×#123	—	3	1	no	—
479	C₃×#123	—	3	1	no	—
480	C₃×#123	—	3	1	no	—
481	C₃×#123	—	3	1	no	—
482	C₃×#123	—	3	1	no	—
483	C₃×#123	—	3	1	no	—
484	C₃×#123	—	3	1	no	—
485	C₃×#123	—	3	1	no	—
486	C₃×#123	—	3	1	no	—
487	C₃×#123	—	3	1	no	—
488	C₃×#123	—	3	1	no	—
489	C₃×#123	—	3	1	no	—
490	C₃×#123	—	3	1	no	—
491	C₃×#123	—	3	1	no	—
492	C₃×#123	—	3	1	no	—
493	C₃×#123	—	3	1	no	—
494	C₃×#123	—	3	1	no	—
495	C₃×#123	—	3	1	no	—
496	C₃×#123	—	3	1	no	—
497	C₃×#123	—	3	1	no	—
498	C₃×C₂²⋊Q₈	—	3	1	no	—
499	C₃×C₂²⋊Q₈	—	3	1	no	—
500	C₃×C₂²⋊Q₈	—	3	1	no	—
501	C₃×C₂²⋊Q₈	—	3	1	no	—
502	C₃×C₂²⋊Q₈	—	3	1	no	—
503	C₃×C₂²⋊Q₈	—	3	1	no	—
504	C₃×C₂²⋊Q₈	—	3	1	no	—
505	C₃×C₂²⋊Q₈	—	3	1	no	—
506	C₃×C₂²⋊Q₈	—	3	1	no	—
507	C₃×C₂²⋊Q₈	—	3	1	no	—
508	C₃×C₂²⋊Q₈	—	3	1	no	—
509	C₃×C₂²⋊Q₈	—	3	1	no	—
510	C₃×#121	—	2	1	no	—
511	C₃×#121	—	2	1	no	—
512	C₃×#121	—	2	1	no	—
513	C₃×#121	—	2	1	no	—
514	C₃×#121	—	3	1	no	—
515	C₃×#121	—	3	1	no	—
516	C₃×#121	—	3	1	no	—
517	C₃×#121	—	3	1	no	—
518	C₃×#121	—	3	1	no	—
519	C₃×#121	—	3	1	no	—
520	C₃×#121	—	3	1	no	—
521	C₃×#121	—	3	1	no	—
522	C₃×#121	—	3	1	no	—
523	C₃×#121	—	3	1	no	—
524	C₃×#121	—	3	1	no	—
525	C₃×#121	—	3	1	no	—
526	C₃×#121	—	3	1	no	—
527	C₃×#121	—	3	1	no	—
528	C₃×#121	—	3	1	no	—
529	C₃×#121	—	3	1	no	—
530	C₃×#121	—	3	1	no	—
531	C₃×#121	—	3	1	no	—
532	C₃×#121	—	3	1	no	—
533	C₃×#121	—	3	1	no	—
534	C₃×#121	—	3	1	no	—
535	C₃×#121	—	3	1	no	—
536	C₃×#121	—	3	1	no	—
537	C₃×#121	—	3	1	no	—
538	C₃×#121	—	3	1	no	—
539	C₃×#121	—	3	1	no	—
540	C₃×#121	—	3	1	no	—
541	C₃×#121	—	3	1	no	—
542	C₃×#121	—	3	1	no	—
543	C₃×#121	—	3	1	no	—
544	C₃×#121	—	3	1	no	—
545	C₃×#121	—	3	1	no	—
546	C₃×#121	C₂×D₃	1	1	yes	characteristic
547	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
548	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
549	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
550	C₃×#121	C₂²×C₃	1	1	yes	characteristic
551	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
552	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
553	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
554	C₃×#120	—	2	1	no	—
555	C₃×#120	—	2	1	no	—
556	C₃×#120	—	2	1	no	—
557	C₃×#120	—	2	1	no	—
558	C₃×#120	—	3	1	no	—
559	C₃×#120	—	3	1	no	—
560	C₃×#120	—	3	1	no	—
561	C₃×#120	—	3	1	no	—
562	C₃×#120	—	3	1	no	—
563	C₃×#120	—	3	1	no	—
564	C₃×#120	—	3	1	no	—
565	C₃×#120	—	3	1	no	—
566	C₃×#120	—	3	1	no	—
567	C₃×#120	—	3	1	no	—
568	C₃×#120	—	3	1	no	—
569	C₃×#120	—	3	1	no	—
570	C₃×#120	C₂×D₃	1	1	yes	characteristic
571	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
572	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
573	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
574	C₃×#120	C₂²×C₃	1	1	yes	characteristic
575	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
576	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
577	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
578	C₃×C₄×D₄	—	2	1	no	—
579	C₃×C₄×D₄	—	2	1	no	—
580	C₃×C₄×D₄	—	3	1	no	—
581	C₃×C₄×D₄	—	3	1	no	—
582	C₃×C₄×D₄	—	3	1	no	—
583	C₃×C₄×D₄	—	3	1	no	—
584	C₃×C₄×D₄	—	3	1	no	—
585	C₃×C₄×D₄	—	3	1	no	—
586	C₃×C₄×D₄	—	3	1	no	—
587	C₃×C₄×D₄	—	3	1	no	—
588	C₃×C₄×D₄	—	3	1	no	—
589	C₃×C₄×D₄	—	3	1	no	—
590	C₃×C₄×D₄	—	3	1	no	—
591	C₃×C₄×D₄	—	3	1	no	—
592	C₃×C₄×D₄	—	3	1	no	—
593	C₃×C₄×D₄	—	3	1	no	—
594	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
595	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
596	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
597	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
598	C₃×#117	—	3	1	no	—
599	C₃×#117	—	3	1	no	—
600	C₃×#117	—	3	1	no	—
601	C₂×C₃×C₄⋊C₄	—	3	1	no	—
602	C₂×C₃×C₄⋊C₄	—	3	1	no	—
603	C₂×C₃×C₄⋊C₄	—	3	1	no	—
604	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
605	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
606	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
607	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
608	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
609	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
610	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
611	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
612	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
613	#953	C₂²×C₃	1	1	yes	characteristic, complemented
614	#953	C₂²×C₃	1	1	yes	characteristic, complemented
615	#953	C₂²×C₃	1	1	yes	characteristic, complemented
616	#953	C₂²×C₃	1	1	yes	characteristic, complemented
617	#953	C₂²×C₃	1	1	yes	characteristic, complemented
618	#953	C₂²×C₃	1	1	yes	characteristic, complemented
619	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
620	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
621	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
622	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
623	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
624	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
625	#940	C₂²×C₃	1	1	yes	characteristic, complemented
626	#939	C₂²×C₃	1	1	yes	characteristic
627	#939	C₂²×C₃	1	1	yes	characteristic
628	#939	C₂²×C₃	1	1	yes	characteristic, complemented
629	#939	C₂²×C₃	1	1	yes	characteristic, complemented
630	#939	C₂²×C₃	1	1	yes	characteristic, complemented
631	#939	C₂²×C₃	1	1	yes	characteristic, complemented
632	#939	C₂²×C₃	1	1	yes	characteristic, complemented
633	#939	C₂²×C₃	1	1	yes	characteristic, complemented
634	#939	C₂²×C₃	1	1	yes	characteristic, complemented
635	#939	C₂²×C₃	1	1	yes	characteristic, complemented
636	#939	C₂²×C₃	1	1	yes	characteristic, complemented
637	#939	C₂²×C₃	1	1	yes	characteristic, complemented
638	#939	C₂²×C₃	1	1	yes	characteristic, complemented
639	#939	C₂²×C₃	1	1	yes	characteristic, complemented
640	#939	C₂²×C₃	1	1	yes	characteristic, complemented
641	#939	C₂²×C₃	1	1	yes	characteristic, complemented
642	#939	C₂²×C₃	1	1	yes	characteristic, complemented
643	#939	C₂²×C₃	1	1	yes	characteristic, complemented
644	#939	C₂²×C₃	1	1	yes	characteristic, complemented
645	#939	C₂²×C₃	1	1	yes	characteristic, complemented
646	#939	C₂²×C₃	1	1	yes	characteristic, complemented
647	#939	C₂²×C₃	1	1	yes	characteristic, complemented
648	#938	C₂²×C₃	1	1	yes	characteristic, complemented
649	#938	C₂²×C₃	1	1	yes	characteristic, complemented
650	#938	C₂²×C₃	1	1	yes	characteristic, complemented
651	#938	C₂²×C₃	1	1	yes	characteristic, complemented
652	#938	C₂²×C₃	1	1	yes	characteristic, complemented
653	#938	C₂²×C₃	1	1	yes	characteristic, complemented
654	#937	C₂²×C₃	1	1	yes	characteristic
655	#937	C₂²×C₃	1	1	yes	characteristic, complemented
656	#937	C₂²×C₃	1	1	yes	characteristic, complemented
657	#937	C₂²×C₃	1	1	yes	characteristic, complemented
658	#937	C₂²×C₃	1	1	yes	characteristic, complemented
659	#937	C₂²×C₃	1	1	yes	characteristic, complemented
660	#936	C₂²×C₃	1	1	yes	characteristic, complemented
661	#936	C₂²×C₃	1	1	yes	characteristic, complemented
662	#936	C₂²×C₃	1	1	yes	characteristic, complemented
663	#935	C₂²×C₃	1	1	yes	characteristic, complemented
664	#935	C₂²×C₃	1	1	yes	characteristic, complemented
665	#935	C₂²×C₃	1	1	yes	characteristic, complemented
666	#935	C₂²×C₃	1	1	yes	characteristic, complemented
667	#935	C₂²×C₃	1	1	yes	characteristic, complemented
668	#935	C₂²×C₃	1	1	yes	characteristic, complemented
669	#935	C₂²×C₃	1	1	yes	characteristic, complemented
670	#935	C₂²×C₃	1	1	yes	characteristic, complemented
671	#935	C₂²×C₃	1	1	yes	characteristic, complemented
672	#935	C₂²×C₃	1	1	yes	characteristic, complemented
673	#935	C₂²×C₃	1	1	yes	characteristic, complemented
674	#935	C₂²×C₃	1	1	yes	characteristic, complemented
675	#935	C₂²×C₃	1	1	yes	characteristic, complemented
676	#935	C₂²×C₃	1	1	yes	characteristic, complemented
677	#935	C₂²×C₃	1	1	yes	characteristic, complemented
678	#935	C₂²×C₃	1	1	yes	characteristic, complemented
679	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
680	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
681	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
682	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
683	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
684	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
685	#930	C₂²×C₃	1	1	yes	characteristic, complemented
686	#929	C₂²×C₃	1	1	yes	characteristic, complemented
687	#929	C₂²×C₃	1	1	yes	characteristic, complemented
688	#929	C₂²×C₃	1	1	yes	characteristic, complemented
689	#929	C₂²×C₃	1	1	yes	characteristic, complemented
690	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
691	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
692	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
693	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
694	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
695	#924	C₂²×C₃	1	1	yes	characteristic, complemented
696	#924	C₂²×C₃	1	1	yes	characteristic, complemented
697	#924	C₂²×C₃	1	1	yes	characteristic, complemented
698	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
699	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
700	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
701	#898	C₂²×C₃	1	1	yes	characteristic, complemented
702	#896	C₂²×C₃	1	1	yes	characteristic, complemented
703	#896	C₂²×C₃	1	1	yes	characteristic, complemented
704	#896	C₂²×C₃	1	1	yes	characteristic, complemented
705	#894	C₂²×C₃	1	1	yes	characteristic, complemented
706	#889	C₂²×C₃	1	1	yes	characteristic, complemented
707	#889	C₂²×C₃	1	1	yes	characteristic, complemented
708	#889	C₂²×C₃	1	1	yes	characteristic, complemented
709	#886	C₂²×C₃	1	1	yes	characteristic, complemented
710	#886	C₂²×C₃	1	1	yes	characteristic, complemented
711	#885	C₂²×C₃	1	1	yes	characteristic, complemented
712	#885	C₂²×C₃	1	1	yes	characteristic, complemented
713	#885	C₂²×C₃	1	1	yes	characteristic, complemented
714	#884	C₂²×C₃	1	1	yes	characteristic, complemented
715	#884	C₂²×C₃	1	1	yes	characteristic, complemented
716	#884	C₂²×C₃	1	1	yes	characteristic, complemented
717	#883	C₂²×C₃	1	1	yes	characteristic, complemented
718	#883	C₂²×C₃	1	1	yes	characteristic, complemented
719	#883	C₂²×C₃	1	1	yes	characteristic, complemented
720	#883	C₂²×C₃	1	1	yes	characteristic, complemented
721	#883	C₂²×C₃	1	1	yes	characteristic, complemented
722	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
723	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
724	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
725	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
726	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
727	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
728	#879	C₂²×C₃	1	1	yes	characteristic, complemented
729	#879	C₂²×C₃	1	1	yes	characteristic, complemented
730	#879	C₂²×C₃	1	1	yes	characteristic, complemented
731	#879	C₂²×C₃	1	1	yes	characteristic, complemented
732	#879	C₂²×C₃	1	1	yes	characteristic, complemented
733	#878	C₂²×C₃	1	1	yes	characteristic, complemented
734	#878	C₂²×C₃	1	1	yes	characteristic, complemented
735	#878	C₂²×C₃	1	1	yes	characteristic, complemented
736	#878	C₂²×C₃	1	1	yes	characteristic, complemented
737	#878	C₂²×C₃	1	1	yes	characteristic, complemented
738	#878	C₂²×C₃	1	1	yes	characteristic, complemented
739	#877	C₂²×C₃	1	1	yes	characteristic, complemented
740	#877	C₂²×C₃	1	1	yes	characteristic, complemented
741	#876	C₂²×C₃	1	1	yes	characteristic, complemented
742	#876	C₂²×C₃	1	1	yes	characteristic, complemented
743	#872	C₂²×C₃	1	1	yes	characteristic, complemented
744	#870	C₂²×C₃	1	1	yes	characteristic, complemented
745	C₂³×C₃²	—	2	2	no	—
746	C₂³×C₃²	—	2	2	no	—
747	C₂³×C₃²	—	2	2	no	—
748	C₂³×C₃²	—	2	2	no	—
749	C₂³×C₃²	—	4	1	no	—
750	C₂³×C₃²	—	4	1	no	—
751	C₂³×C₃²	—	4	1	no	—
752	C₂³×C₃²	—	4	1	no	—
753	C₂³×C₃²	—	4	1	no	—
754	C₂³×C₃²	—	4	1	no	—
755	C₂³×C₃²	—	4	1	no	—
756	C₂³×C₃²	—	4	1	no	—
757	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
758	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
759	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
760	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
761	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
762	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
763	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
764	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
765	C₂²×C₃×D₃	—	2	2	no	—
766	C₂²×C₃×D₃	—	4	1	no	—
767	C₂²×C₃×D₃	—	4	1	no	—
768	C₂²×C₃×D₃	—	4	1	no	—
769	C₂²×C₃×D₃	—	4	1	no	—
770	C₂²×C₃×D₃	—	4	1	no	—
771	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
772	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
773	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
774	C₃²×D₄	—	2	2	no	—
775	C₃²×D₄	—	2	2	no	—
776	C₃²×D₄	—	2	2	no	—
777	C₃²×D₄	—	2	2	no	—
778	C₃²×D₄	—	2	2	no	—
779	C₃²×D₄	—	2	2	no	—
780	C₃²×D₄	—	4	1	no	—
781	C₃²×D₄	—	4	1	no	—
782	C₃²×D₄	—	4	1	no	—
783	C₃²×D₄	—	4	1	no	—
784	C₃²×D₄	—	4	1	no	—
785	C₃²×D₄	—	4	1	no	—
786	C₃²×D₄	—	4	1	no	—
787	C₃²×D₄	—	4	1	no	—
788	C₃²×D₄	—	4	1	no	—
789	C₃²×D₄	—	4	1	no	—
790	C₂×C₃²×C₄	—	4	1	no	—
791	C₂×C₃²×C₄	—	4	1	no	—
792	C₂×C₃²×C₄	—	4	1	no	—
793	C₂×C₃²×C₄	—	4	1	no	—
794	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
795	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
796	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
797	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
798	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
799	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
800	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
801	C₃×#67	—	2	2	no	—
802	C₃×#67	—	2	2	no	—
803	C₃×#67	—	2	2	no	—
804	C₃×#67	—	2	2	no	—
805	C₃×#67	—	4	1	no	—
806	C₃×#67	—	4	1	no	—
807	C₃×#67	—	4	1	no	—
808	C₃×#67	—	4	1	no	—
809	C₃×#67	—	4	1	no	—
810	C₃×#67	—	4	1	no	—
811	C₃×#67	—	4	1	no	—
812	C₃×#67	—	4	1	no	—
813	C₃×#67	—	4	1	no	—
814	C₃×#67	—	4	1	no	—
815	C₃×#67	—	4	1	no	—
816	C₃×#67	—	4	1	no	—
817	C₃×#67	—	4	1	no	—
818	C₃×#67	—	4	1	no	—
819	C₃×#67	—	4	1	no	—
820	C₃×#67	—	4	1	no	—
821	C₂×C₃×Dic₃	—	2	2	no	—
822	C₂×C₃×Dic₃	—	2	2	no	—
823	C₂×C₃×Dic₃	—	2	2	no	—
824	C₂×C₃×Dic₃	—	4	1	no	—
825	C₂×C₃×Dic₃	—	4	1	no	—
826	C₂×C₃×Dic₃	—	4	1	no	—
827	C₂×C₃×Dic₃	—	4	1	no	—
828	C₂×C₃×Dic₃	—	4	1	no	—
829	C₂×C₃×Dic₃	—	4	1	no	—
830	C₂×C₃×Dic₃	—	4	1	no	—
831	C₂×C₃×Dic₃	—	4	1	no	—
832	C₂×C₃×Dic₃	—	4	1	no	—
833	C₂×C₃×Dic₃	—	4	1	no	—
834	C₂×C₃×Dic₃	—	4	1	no	—
835	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
836	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
837	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
838	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
839	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
840	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
841	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
842	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
843	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
844	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
845	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
846	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
847	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
848	C₃×D₁₂	—	4	1	no	—
849	C₃×C₄×D₃	—	4	1	no	—
850	C₃×C₄×D₃	—	4	1	no	—
851	C₃×C₄×D₃	—	4	1	no	—
852	C₃×C₄×D₃	—	4	1	no	—
853	C₃×C₄×D₃	—	4	1	no	—
854	C₃×Dic₆	—	4	1	no	—
855	C₃×Dic₆	—	4	1	no	—
856	C₃×Dic₆	—	4	1	no	—
857	#562	—	3	1	no	—
858	#562	—	3	1	no	—
859	#560	—	3	1	no	—
860	#560	—	3	1	no	—
861	#553	—	3	1	no	—
862	#553	—	3	1	no	—
863	#551	—	3	1	no	—
864	#551	—	3	1	no	—
865	#546	—	3	1	no	—
866	#546	—	3	1	no	—
867	#546	—	3	1	no	—
868	#546	—	3	1	no	—
869	#546	—	3	1	no	—
870	#546	—	3	1	no	—
871	D₄²	—	3	1	no	—
872	D₄²	C₃×D₃	1	1	yes	characteristic, complemented
873	#540	—	3	1	no	—
874	#540	—	3	1	no	—
875	#539	—	3	1	no	—
876	#539	—	3	1	no	—
877	#539	—	3	1	no	—
878	#538	—	3	1	no	—
879	#538	—	3	1	no	—
880	#538	—	3	1	no	—
881	#537	—	3	1	no	—
882	#534	—	3	1	no	—
883	#534	—	3	1	no	—
884	#534	—	3	1	no	—
885	#525	—	3	1	no	—
886	C₂×#123	—	3	1	no	—
887	C₂×#121	—	3	1	no	—
888	C₂⁴×C₃	—	2	1	no	—
889	C₂⁴×C₃	—	2	1	no	—
890	C₂⁴×C₃	—	2	1	no	—
891	C₂⁴×C₃	—	2	1	no	—
892	C₂⁴×C₃	—	3	1	no	—
893	C₂⁴×C₃	—	3	1	no	—
894	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
895	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
896	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
897	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
898	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
899	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
900	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
901	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
902	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
903	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
904	C₃×#41	—	12	2	no	—
905	C₃×#41	—	12	2	no	—
906	C₃×#41	—	12	2	no	—
907	C₂×C₃×Q₈	—	3	1	no	—
908	C₂×C₃×Q₈	—	3	1	no	—
909	C₂×C₃×Q₈	—	3	1	no	—
910	C₂×C₃×D₄	—	2	1	no	—
911	C₂×C₃×D₄	—	2	1	no	—
912	C₂×C₃×D₄	—	2	1	no	—
913	C₂×C₃×D₄	—	2	1	no	—
914	C₂×C₃×D₄	—	2	1	no	—
915	C₂×C₃×D₄	—	2	1	no	—
916	C₂×C₃×D₄	—	2	1	no	—
917	C₂×C₃×D₄	—	2	1	no	—
918	C₂×C₃×D₄	—	2	1	no	—
919	C₂×C₃×D₄	—	2	1	no	—
920	C₂×C₃×D₄	—	2	1	no	—
921	C₂×C₃×D₄	—	2	1	no	—
922	C₂×C₃×D₄	—	2	1	no	—
923	C₂×C₃×D₄	—	2	1	no	—
924	C₂×C₃×D₄	—	2	1	no	—
925	C₂×C₃×D₄	—	2	1	no	—
926	C₂×C₃×D₄	—	3	1	no	—
927	C₂×C₃×D₄	—	3	1	no	—
928	C₂×C₃×D₄	—	3	1	no	—
929	C₂×C₃×D₄	—	3	1	no	—
930	C₂×C₃×D₄	—	3	1	no	—
931	C₂×C₃×D₄	—	3	1	no	—
932	C₂×C₃×D₄	—	3	1	no	—
933	C₂×C₃×D₄	—	3	1	no	—
934	C₂×C₃×D₄	—	3	1	no	—
935	C₂×C₃×D₄	—	3	1	no	—
936	C₂×C₃×D₄	—	3	1	no	—
937	C₂×C₃×D₄	—	3	1	no	—
938	C₂×C₃×D₄	—	3	1	no	—
939	C₂×C₃×D₄	—	3	1	no	—
940	C₂×C₃×D₄	—	3	1	no	—
941	C₂×C₃×D₄	—	3	1	no	—
942	C₂×C₃×D₄	—	3	1	no	—
943	C₂×C₃×D₄	—	3	1	no	—
944	C₂×C₃×D₄	—	3	1	no	—
945	C₂×C₃×D₄	—	3	1	no	—
946	C₂×C₃×D₄	—	3	1	no	—
947	C₂×C₃×D₄	—	4	2	no	—
948	C₂×C₃×D₄	—	4	2	no	—
949	C₂×C₃×D₄	—	4	2	no	—
950	C₂×C₃×D₄	—	4	2	no	—
951	C₂×C₃×D₄	—	4	2	no	—
952	C₂×C₃×D₄	—	4	2	no	—
953	C₂×C₃×D₄	—	4	2	no	—
954	C₂×C₃×D₄	—	4	2	no	—
955	C₂×C₃×D₄	—	4	4	no	—
956	C₂×C₃×D₄	—	4	4	no	—
957	C₂×C₃×D₄	—	4	4	no	—
958	C₂×C₃×D₄	—	4	4	no	—
959	C₂×C₃×D₄	—	12	2	no	—
960	C₂×C₃×D₄	—	12	2	no	—
961	C₂×C₃×D₄	—	12	2	no	—
962	C₂×C₃×D₄	—	12	2	no	—
963	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
964	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
965	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
966	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
967	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
968	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
969	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
970	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
971	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
972	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
973	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
974	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
975	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
976	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
977	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
978	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
979	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
980	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
981	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
982	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
983	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
984	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
985	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
986	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
987	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
988	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
989	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
990	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
991	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
992	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
993	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
994	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
995	C₂²×C₃×C₄	—	2	1	no	—
996	C₂²×C₃×C₄	—	2	1	no	—
997	C₂²×C₃×C₄	—	2	1	no	—
998	C₂²×C₃×C₄	—	2	1	no	—
999	C₂²×C₃×C₄	—	3	1	no	—
1000	C₂²×C₃×C₄	—	3	1	no	—
1001	C₂²×C₃×C₄	—	3	1	no	—
1002	C₂²×C₃×C₄	—	3	1	no	—
1003	C₂²×C₃×C₄	—	3	1	no	—
1004	C₂²×C₃×C₄	—	3	1	no	—
1005	C₂²×C₃×C₄	—	3	1	no	—
1006	C₂²×C₃×C₄	—	3	1	no	—
1007	C₂²×C₃×C₄	—	3	1	no	—
1008	C₂²×C₃×C₄	—	3	1	no	—
1009	C₂²×C₃×C₄	—	3	1	no	—
1010	C₂²×C₃×C₄	—	3	1	no	—
1011	C₂²×C₃×C₄	—	3	1	no	—
1012	C₂²×C₃×C₄	—	3	1	no	—
1013	C₂²×C₃×C₄	—	3	1	no	—
1014	C₂²×C₃×C₄	—	3	1	no	—
1015	C₂²×C₃×C₄	—	3	1	no	—
1016	C₂²×C₃×C₄	—	3	1	no	—
1017	C₂²×C₃×C₄	—	3	1	no	—
1018	C₂²×C₃×C₄	—	12	2	no	—
1019	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1020	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1021	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1022	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
1023	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1024	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1025	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1026	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
1027	C₂×#67	—	4	2	no	—
1028	C₂×#67	—	4	2	no	—
1029	C₂×#67	—	4	2	no	—
1030	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1031	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1032	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1033	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1034	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1035	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1036	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1037	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1038	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1039	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1040	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1041	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1042	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1043	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1044	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1045	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1046	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1047	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1048	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1049	C₂×#67	C₂³×C₃	1	1	yes	characteristic
1050	C₂²×Dic₃	—	4	2	no	—
1051	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1052	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1053	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1054	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1055	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1056	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1057	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1058	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1059	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1060	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1061	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1062	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1063	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1064	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
1065	#237	—	4	2	no	—
1066	#237	—	4	2	no	—
1067	#237	—	4	2	no	—
1068	D₃×D₄	—	4	2	no	—
1069	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
1070	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1071	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1072	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1073	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1074	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
1075	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1076	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1077	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
1078	C₃×C₄⋊C₄	—	2	1	no	—
1079	C₃×C₄⋊C₄	—	2	1	no	—
1080	C₃×C₄⋊C₄	—	3	1	no	—
1081	C₃×C₄⋊C₄	—	3	1	no	—
1082	C₃×C₄⋊C₄	—	3	1	no	—
1083	C₃×C₄⋊C₄	—	3	1	no	—
1084	C₃×C₄⋊C₄	—	3	1	no	—
1085	C₃×C₄⋊C₄	—	3	1	no	—
1086	C₃×C₄⋊C₄	—	3	1	no	—
1087	C₃×C₄⋊C₄	—	3	1	no	—
1088	C₃×C₄⋊C₄	—	3	1	no	—
1089	C₃×C₄⋊C₄	—	3	1	no	—
1090	C₃×C₄⋊C₄	—	3	1	no	—
1091	C₃×C₄⋊C₄	—	3	1	no	—
1092	C₃×C₄⋊C₄	—	3	1	no	—
1093	C₃×C₄⋊C₄	—	3	1	no	—
1094	C₃×C₄⋊C₄	—	3	1	no	—
1095	C₃×C₄⋊C₄	—	3	1	no	—
1096	C₃×C₄⋊C₄	—	3	1	no	—
1097	C₃×C₄⋊C₄	—	3	1	no	—
1098	C₃×C₄⋊C₄	—	3	1	no	—
1099	C₃×C₄⋊C₄	—	3	1	no	—
1100	C₃×C₄⋊C₄	—	3	1	no	—
1101	C₃×C₄⋊C₄	—	3	1	no	—
1102	C₃×C₄⋊C₄	—	3	1	no	—
1103	C₃×C₄⋊C₄	—	3	1	no	—
1104	C₃×C₄⋊C₄	—	3	1	no	—
1105	C₃×C₄⋊C₄	—	3	1	no	—
1106	C₃×C₄⋊C₄	—	3	1	no	—
1107	C₃×C₄⋊C₄	—	3	1	no	—
1108	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1109	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1110	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1111	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1112	C₃×C₂²⋊C₄	—	2	1	no	—
1113	C₃×C₂²⋊C₄	—	2	1	no	—
1114	C₃×C₂²⋊C₄	—	2	1	no	—
1115	C₃×C₂²⋊C₄	—	2	1	no	—
1116	C₃×C₂²⋊C₄	—	2	1	no	—
1117	C₃×C₂²⋊C₄	—	2	1	no	—
1118	C₃×C₂²⋊C₄	—	2	1	no	—
1119	C₃×C₂²⋊C₄	—	2	1	no	—
1120	C₃×C₂²⋊C₄	—	3	1	no	—
1121	C₃×C₂²⋊C₄	—	3	1	no	—
1122	C₃×C₂²⋊C₄	—	3	1	no	—
1123	C₃×C₂²⋊C₄	—	3	1	no	—
1124	C₃×C₂²⋊C₄	—	3	1	no	—
1125	C₃×C₂²⋊C₄	—	3	1	no	—
1126	C₃×C₂²⋊C₄	—	3	1	no	—
1127	C₃×C₂²⋊C₄	—	3	1	no	—
1128	C₃×C₂²⋊C₄	—	3	1	no	—
1129	C₃×C₂²⋊C₄	—	3	1	no	—
1130	C₃×C₂²⋊C₄	—	3	1	no	—
1131	C₃×C₂²⋊C₄	—	3	1	no	—
1132	C₃×C₂²⋊C₄	—	3	1	no	—
1133	C₃×C₂²⋊C₄	—	3	1	no	—
1134	C₃×C₂²⋊C₄	—	3	1	no	—
1135	C₃×C₂²⋊C₄	—	3	1	no	—
1136	C₃×C₂²⋊C₄	—	3	1	no	—
1137	C₃×C₂²⋊C₄	—	3	1	no	—
1138	C₃×C₂²⋊C₄	—	3	1	no	—
1139	C₃×C₂²⋊C₄	—	3	1	no	—
1140	C₃×C₂²⋊C₄	—	3	1	no	—
1141	C₃×C₂²⋊C₄	—	3	1	no	—
1142	C₃×C₂²⋊C₄	—	3	1	no	—
1143	C₃×C₂²⋊C₄	—	3	1	no	—
1144	C₃×C₂²⋊C₄	—	3	1	no	—
1145	C₃×C₂²⋊C₄	—	3	1	no	—
1146	C₃×C₂²⋊C₄	—	3	1	no	—
1147	C₃×C₂²⋊C₄	—	3	1	no	—
1148	C₃×C₂²⋊C₄	—	3	1	no	—
1149	C₃×C₂²⋊C₄	—	3	1	no	—
1150	C₃×C₂²⋊C₄	—	3	1	no	—
1151	C₃×C₂²⋊C₄	—	3	1	no	—
1152	C₃×C₂²⋊C₄	—	3	1	no	—
1153	C₃×C₂²⋊C₄	—	3	1	no	—
1154	C₃×C₂²⋊C₄	—	3	1	no	—
1155	C₃×C₂²⋊C₄	—	3	1	no	—
1156	C₃×C₂²⋊C₄	—	3	1	no	—
1157	C₃×C₂²⋊C₄	—	3	1	no	—
1158	C₃×C₂²⋊C₄	—	3	1	no	—
1159	C₃×C₂²⋊C₄	—	3	1	no	—
1160	C₃×C₂²⋊C₄	—	3	1	no	—
1161	C₃×C₂²⋊C₄	—	3	1	no	—
1162	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1163	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1164	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1165	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1166	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1167	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1168	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1169	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1170	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1171	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1172	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1173	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1174	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1175	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1176	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1177	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1178	C₃×C₄²	—	2	1	no	—
1179	C₃×C₄²	—	3	1	no	—
1180	C₃×C₄²	—	3	1	no	—
1181	C₃×C₄²	—	3	1	no	—
1182	C₃×C₄²	—	3	1	no	—
1183	C₃×C₄²	—	3	1	no	—
1184	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1185	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1186	#217	C₂³×C₃	1	1	yes	characteristic
1187	#217	C₂³×C₃	1	1	yes	characteristic
1188	#217	C₂³×C₃	1	1	yes	characteristic
1189	#217	C₂³×C₃	1	1	yes	characteristic
1190	#217	C₂³×C₃	1	1	yes	characteristic
1191	#217	C₂³×C₃	1	1	yes	characteristic
1192	#217	C₂³×C₃	1	1	yes	characteristic
1193	#217	C₂³×C₃	1	1	yes	characteristic
1194	#217	C₂³×C₃	1	1	yes	characteristic
1195	#217	C₂³×C₃	1	1	yes	characteristic
1196	#217	C₂³×C₃	1	1	yes	characteristic
1197	#217	C₂³×C₃	1	1	yes	characteristic
1198	#217	C₂³×C₃	1	1	yes	characteristic
1199	#217	C₂³×C₃	1	1	yes	characteristic
1200	#217	C₂³×C₃	1	1	yes	characteristic
1201	#217	C₂³×C₃	1	1	yes	characteristic
1202	#217	C₂³×C₃	1	1	yes	characteristic
1203	#217	C₂³×C₃	1	1	yes	characteristic
1204	#217	C₂³×C₃	1	1	yes	characteristic
1205	#217	C₂³×C₃	1	1	yes	characteristic
1206	#217	C₂³×C₃	1	1	yes	characteristic
1207	#217	C₂³×C₃	1	1	yes	characteristic
1208	#217	C₂³×C₃	1	1	yes	characteristic
1209	#217	C₂³×C₃	1	1	yes	characteristic
1210	#217	C₂³×C₃	1	1	yes	characteristic
1211	#217	C₂³×C₃	1	1	yes	characteristic
1212	#217	C₂³×C₃	1	1	yes	characteristic
1213	#217	C₂³×C₃	1	1	yes	characteristic
1214	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1215	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1216	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1217	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1218	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1219	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1220	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1221	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1222	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1223	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1224	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1225	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1226	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1227	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1228	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1229	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1230	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1231	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1232	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1233	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1234	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1235	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1236	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1237	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1238	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1239	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1240	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1241	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1242	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1243	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1244	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1245	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1246	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1247	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1248	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1249	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1250	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1251	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1252	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1253	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1254	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1255	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1256	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1257	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1258	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1259	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1260	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1261	C₂²×C₃²	—	2	1	no	—
1262	C₂²×C₃²	—	2	1	no	—
1263	C₂²×C₃²	—	2	1	no	—
1264	C₂²×C₃²	—	2	1	no	—
1265	C₂²×C₃²	—	2	1	no	—
1266	C₂²×C₃²	—	2	1	no	—
1267	C₂²×C₃²	—	2	1	no	—
1268	C₂²×C₃²	—	2	1	no	—
1269	C₂²×C₃²	—	2	1	no	—
1270	C₂²×C₃²	—	2	1	no	—
1271	C₂²×C₃²	—	2	1	no	—
1272	C₂²×C₃²	—	2	1	no	—
1273	C₂²×C₃²	—	2	1	no	—
1274	C₂²×C₃²	—	2	1	no	—
1275	C₂²×C₃²	—	2	1	no	—
1276	C₂²×C₃²	—	2	1	no	—
1277	C₂²×C₃²	—	2	1	no	—
1278	C₂²×C₃²	—	2	1	no	—
1279	C₂²×C₃²	—	2	1	no	—
1280	C₂²×C₃²	—	2	1	no	—
1281	C₂²×C₃²	—	2	1	no	—
1282	C₂²×C₃²	—	2	1	no	—
1283	C₂²×C₃²	—	4	4	no	—
1284	C₂²×C₃²	—	8	2	no	—
1285	C₂²×C₃²	—	8	2	no	—
1286	C₂²×C₃²	—	8	2	no	—
1287	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
1288	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
1289	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1290	C₂×C₃×D₃	—	2	1	no	—
1291	C₂×C₃×D₃	—	2	1	no	—
1292	C₂×C₃×D₃	—	2	1	no	—
1293	C₂×C₃×D₃	—	2	1	no	—
1294	C₂×C₃×D₃	—	2	1	no	—
1295	C₂×C₃×D₃	—	2	1	no	—
1296	C₂×C₃×D₃	—	2	1	no	—
1297	C₂×C₃×D₃	—	2	1	no	—
1298	C₂×C₃×D₃	—	2	1	no	—
1299	C₂×C₃×D₃	—	8	2	no	—
1300	C₂×C₃×D₃	—	8	2	no	—
1301	C₃²×C₄	—	2	1	no	—
1302	C₃²×C₄	—	2	1	no	—
1303	C₃²×C₄	—	2	1	no	—
1304	C₃²×C₄	—	2	1	no	—
1305	C₃²×C₄	—	2	1	no	—
1306	C₃²×C₄	—	2	1	no	—
1307	C₃²×C₄	—	2	1	no	—
1308	C₃×Dic₃	—	2	1	no	—
1309	C₃×Dic₃	—	2	1	no	—
1310	C₃×Dic₃	—	2	1	no	—
1311	C₃×Dic₃	—	2	1	no	—
1312	C₃×Dic₃	—	2	1	no	—
1313	C₃×Dic₃	—	2	1	no	—
1314	C₃×Dic₃	—	2	1	no	—
1315	C₃×Dic₃	—	2	1	no	—
1316	C₃×Dic₃	—	2	1	no	—
1317	C₃×Dic₃	—	2	1	no	—
1318	C₃×Dic₃	—	2	1	no	—
1319	C₃×Dic₃	—	2	1	no	—
1320	C₃×Dic₃	—	2	1	no	—
1321	C₂×#41	—	3	1	no	—
1322	C₂×#41	—	3	1	no	—
1323	C₂×#41	—	3	1	no	—
1324	C₂²×D₄	—	3	1	no	—
1325	C₂²×D₄	—	3	1	no	—
1326	C₂²×D₄	—	3	1	no	—
1327	C₂²×D₄	—	3	1	no	—
1328	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
1329	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1330	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1331	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1332	C₂³×C₄	—	3	1	no	—
1333	#127	—	3	1	no	—
1334	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1335	#126	—	3	1	no	—
1336	#126	—	3	1	no	—
1337	#126	—	3	1	no	—
1338	#126	—	3	1	no	—
1339	#126	—	3	1	no	—
1340	#126	—	3	1	no	—
1341	#126	—	3	1	no	—
1342	#126	—	3	1	no	—
1343	#125	—	3	1	no	—
1344	#125	—	3	1	no	—
1345	#125	—	3	1	no	—
1346	#125	—	3	1	no	—
1347	#124	—	3	1	no	—
1348	#124	—	3	1	no	—
1349	#124	—	3	1	no	—
1350	#124	—	3	1	no	—
1351	#124	—	3	1	no	—
1352	#124	—	3	1	no	—
1353	#123	—	3	1	no	—
1354	#123	—	3	1	no	—
1355	#123	—	3	1	no	—
1356	#123	—	3	1	no	—
1357	#123	—	3	1	no	—
1358	#123	—	3	1	no	—
1359	#123	—	3	1	no	—
1360	#123	—	3	1	no	—
1361	#123	—	3	1	no	—
1362	#123	—	3	1	no	—
1363	#123	—	3	1	no	—
1364	#123	—	3	1	no	—
1365	#123	—	3	1	no	—
1366	#123	—	3	1	no	—
1367	#123	—	3	1	no	—
1368	#123	—	3	1	no	—
1369	#123	—	3	1	no	—
1370	#123	—	3	1	no	—
1371	#123	—	3	1	no	—
1372	#123	—	3	1	no	—
1373	#123	—	3	1	no	—
1374	#123	—	3	1	no	—
1375	#123	—	3	1	no	—
1376	#123	—	3	1	no	—
1377	#123	—	3	1	no	—
1378	#123	—	3	1	no	—
1379	#123	—	3	1	no	—
1380	#123	—	3	1	no	—
1381	C₂²⋊Q₈	—	3	1	no	—
1382	C₂²⋊Q₈	—	3	1	no	—
1383	C₂²⋊Q₈	—	3	1	no	—
1384	C₂²⋊Q₈	—	3	1	no	—
1385	C₂²⋊Q₈	—	3	1	no	—
1386	C₂²⋊Q₈	—	3	1	no	—
1387	C₂²⋊Q₈	—	3	1	no	—
1388	C₂²⋊Q₈	—	3	1	no	—
1389	C₂²⋊Q₈	—	3	1	no	—
1390	C₂²⋊Q₈	—	3	1	no	—
1391	C₂²⋊Q₈	—	3	1	no	—
1392	C₂²⋊Q₈	—	3	1	no	—
1393	#121	—	3	1	no	—
1394	#121	—	3	1	no	—
1395	#121	—	3	1	no	—
1396	#121	—	3	1	no	—
1397	#121	—	3	1	no	—
1398	#121	—	3	1	no	—
1399	#121	—	3	1	no	—
1400	#121	—	3	1	no	—
1401	#121	—	3	1	no	—
1402	#121	—	3	1	no	—
1403	#121	—	3	1	no	—
1404	#121	—	3	1	no	—
1405	#121	—	3	1	no	—
1406	#121	—	3	1	no	—
1407	#121	—	3	1	no	—
1408	#121	—	3	1	no	—
1409	#121	—	3	1	no	—
1410	#121	—	3	1	no	—
1411	#121	—	3	1	no	—
1412	#121	—	3	1	no	—
1413	#121	—	3	1	no	—
1414	#121	—	3	1	no	—
1415	#121	—	3	1	no	—
1416	#121	—	3	1	no	—
1417	#121	—	3	1	no	—
1418	#121	—	3	1	no	—
1419	#121	—	3	1	no	—
1420	#121	—	3	1	no	—
1421	#121	—	3	1	no	—
1422	#121	—	3	1	no	—
1423	#121	—	3	1	no	—
1424	#121	—	3	1	no	—
1425	#121	C₂×C₃×D₃	1	1	yes	characteristic
1426	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1427	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1428	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1429	#120	—	3	1	no	—
1430	#120	—	3	1	no	—
1431	#120	—	3	1	no	—
1432	#120	—	3	1	no	—
1433	#120	—	3	1	no	—
1434	#120	—	3	1	no	—
1435	#120	—	3	1	no	—
1436	#120	—	3	1	no	—
1437	#120	—	3	1	no	—
1438	#120	—	3	1	no	—
1439	#120	—	3	1	no	—
1440	#120	—	3	1	no	—
1441	#120	C₂×C₃×D₃	1	1	yes	characteristic
1442	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1443	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1444	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1445	C₄×D₄	—	3	1	no	—
1446	C₄×D₄	—	3	1	no	—
1447	C₄×D₄	—	3	1	no	—
1448	C₄×D₄	—	3	1	no	—
1449	C₄×D₄	—	3	1	no	—
1450	C₄×D₄	—	3	1	no	—
1451	C₄×D₄	—	3	1	no	—
1452	C₄×D₄	—	3	1	no	—
1453	C₄×D₄	—	3	1	no	—
1454	C₄×D₄	—	3	1	no	—
1455	C₄×D₄	—	3	1	no	—
1456	C₄×D₄	—	3	1	no	—
1457	C₄×D₄	—	3	1	no	—
1458	C₄×D₄	—	3	1	no	—
1459	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1460	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1461	#117	—	3	1	no	—
1462	#117	—	3	1	no	—
1463	#117	—	3	1	no	—
1464	C₂×C₄⋊C₄	—	3	1	no	—
1465	C₂×C₄⋊C₄	—	3	1	no	—
1466	C₂×C₄⋊C₄	—	3	1	no	—
1467	C₂×C₂²⋊C₄	—	3	1	no	—
1468	C₂×C₂²⋊C₄	—	3	1	no	—
1469	C₂×C₂²⋊C₄	—	3	1	no	—
1470	C₂×C₂²⋊C₄	—	3	1	no	—
1471	C₂×C₂²⋊C₄	—	3	1	no	—
1472	C₂×C₂²⋊C₄	—	3	1	no	—
1473	C₂×C₂²⋊C₄	—	3	1	no	—
1474	C₂×C₂²⋊C₄	—	3	1	no	—
1475	C₂×C₂²⋊C₄	—	3	1	no	—
1476	C₂³×C₃	—	2	2	no	—
1477	C₂³×C₃	—	2	2	no	—
1478	C₂³×C₃	—	2	2	no	—
1479	C₂³×C₃	—	2	2	no	—
1480	C₂³×C₃	—	2	2	no	—
1481	C₂³×C₃	—	2	2	no	—
1482	C₂³×C₃	—	2	2	no	—
1483	C₂³×C₃	—	2	2	no	—
1484	C₂³×C₃	—	2	1	no	—
1485	C₂³×C₃	—	2	1	no	—
1486	C₂³×C₃	—	2	1	no	—
1487	C₂³×C₃	—	2	1	no	—
1488	C₂³×C₃	—	2	1	no	—
1489	C₂³×C₃	—	2	1	no	—
1490	C₂³×C₃	—	2	1	no	—
1491	C₂³×C₃	—	2	1	no	—
1492	C₂³×C₃	—	3	1	no	—
1493	C₂³×C₃	—	3	1	no	—
1494	C₂³×C₃	—	3	1	no	—
1495	C₂³×C₃	—	4	2	no	—
1496	C₂³×C₃	—	4	2	no	—
1497	C₂³×C₃	—	4	2	no	—
1498	C₂³×C₃	—	4	2	no	—
1499	C₂³×C₃	—	4	1	no	—
1500	C₂³×C₃	—	4	1	no	—
1501	C₂³×C₃	—	4	1	no	—
1502	C₂³×C₃	—	4	1	no	—
1503	C₂³×C₃	—	4	1	no	—
1504	C₂³×C₃	—	4	1	no	—
1505	C₂³×C₃	—	4	1	no	—
1506	C₂³×C₃	—	4	1	no	—
1507	C₂³×C₃	—	4	1	no	—
1508	C₂³×C₃	—	4	1	no	—
1509	C₂³×C₃	—	4	1	no	—
1510	C₂³×C₃	—	4	1	no	—
1511	C₂³×C₃	—	4	1	no	—
1512	C₂³×C₃	—	4	1	no	—
1513	C₂³×C₃	—	4	1	no	—
1514	C₂³×C₃	—	4	1	no	—
1515	C₂³×C₃	—	4	2	no	—
1516	C₂³×C₃	—	4	2	no	—
1517	C₂³×C₃	—	4	2	no	—
1518	C₂³×C₃	—	4	2	no	—
1519	C₂³×C₃	—	6	2	no	—
1520	C₂³×C₃	—	8	1	no	—
1521	C₂³×C₃	—	8	1	no	—
1522	C₂³×C₃	—	8	1	no	—
1523	C₂³×C₃	—	8	1	no	—
1524	C₂³×C₃	—	12	1	no	—
1525	C₂³×C₃	—	12	1	no	—
1526	C₂³×C₃	—	12	1	no	—
1527	C₂³×C₃	—	12	1	no	—
1528	C₂³×C₃	—	12	1	no	—
1529	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1530	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1531	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1532	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1533	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1534	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1535	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1536	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1537	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1538	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1539	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1540	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1541	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1542	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1543	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1544	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1545	C₂²×D₃	—	2	2	no	—
1546	C₂²×D₃	—	4	1	no	—
1547	C₂²×D₃	—	4	1	no	—
1548	C₂²×D₃	—	4	1	no	—
1549	C₂²×D₃	—	4	1	no	—
1550	C₂²×D₃	—	4	1	no	—
1551	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1552	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1553	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1554	C₃×Q₈	—	12	1	no	—
1555	C₃×Q₈	—	12	1	no	—
1556	C₃×Q₈	—	12	1	no	—
1557	C₃×D₄	—	2	4	no	—
1558	C₃×D₄	—	2	4	no	—
1559	C₃×D₄	—	2	2	no	—
1560	C₃×D₄	—	2	2	no	—
1561	C₃×D₄	—	2	2	no	—
1562	C₃×D₄	—	2	2	no	—
1563	C₃×D₄	—	2	2	no	—
1564	C₃×D₄	—	2	2	no	—
1565	C₃×D₄	—	2	2	no	—
1566	C₃×D₄	—	2	2	no	—
1567	C₃×D₄	—	2	2	no	—
1568	C₃×D₄	—	2	2	no	—
1569	C₃×D₄	—	2	2	no	—
1570	C₃×D₄	—	2	2	no	—
1571	C₃×D₄	—	4	2	no	—
1572	C₃×D₄	—	4	2	no	—
1573	C₃×D₄	—	4	2	no	—
1574	C₃×D₄	—	4	2	no	—
1575	C₃×D₄	—	4	1	no	—
1576	C₃×D₄	—	4	1	no	—
1577	C₃×D₄	—	4	1	no	—
1578	C₃×D₄	—	4	1	no	—
1579	C₃×D₄	—	4	1	no	—
1580	C₃×D₄	—	4	1	no	—
1581	C₃×D₄	—	4	1	no	—
1582	C₃×D₄	—	4	1	no	—
1583	C₃×D₄	—	4	1	no	—
1584	C₃×D₄	—	4	1	no	—
1585	C₃×D₄	—	4	1	no	—
1586	C₃×D₄	—	4	1	no	—
1587	C₃×D₄	—	4	1	no	—
1588	C₃×D₄	—	4	1	no	—
1589	C₃×D₄	—	4	1	no	—
1590	C₃×D₄	—	4	1	no	—
1591	C₃×D₄	—	4	1	no	—
1592	C₃×D₄	—	4	1	no	—
1593	C₃×D₄	—	4	1	no	—
1594	C₃×D₄	—	4	1	no	—
1595	C₃×D₄	—	4	2	no	—
1596	C₃×D₄	—	4	2	no	—
1597	C₃×D₄	—	4	2	no	—
1598	C₃×D₄	—	4	2	no	—
1599	C₃×D₄	—	4	2	no	—
1600	C₃×D₄	—	4	2	no	—
1601	C₃×D₄	—	4	2	no	—
1602	C₃×D₄	—	4	2	no	—
1603	C₃×D₄	—	6	2	no	—
1604	C₃×D₄	—	6	2	no	—
1605	C₃×D₄	—	6	2	no	—
1606	C₃×D₄	—	6	2	no	—
1607	C₃×D₄	—	8	1	no	—
1608	C₃×D₄	—	8	1	no	—
1609	C₃×D₄	—	12	1	no	—
1610	C₃×D₄	—	12	1	no	—
1611	C₃×D₄	—	12	1	no	—
1612	C₃×D₄	—	12	1	no	—
1613	C₃×D₄	—	12	1	no	—
1614	C₃×D₄	—	12	1	no	—
1615	C₃×D₄	—	12	1	no	—
1616	C₃×D₄	—	12	1	no	—
1617	C₃×D₄	—	12	1	no	—
1618	C₃×D₄	—	12	1	no	—
1619	C₃×D₄	—	12	1	no	—
1620	C₃×D₄	—	12	1	no	—
1621	C₃×D₄	—	12	1	no	—
1622	C₃×D₄	—	12	1	no	—
1623	C₃×D₄	—	12	1	no	—
1624	C₃×D₄	—	12	1	no	—
1625	C₃×D₄	—	12	1	no	—
1626	C₂×C₃×C₄	—	2	1	no	—
1627	C₂×C₃×C₄	—	2	1	no	—
1628	C₂×C₃×C₄	—	2	1	no	—
1629	C₂×C₃×C₄	—	2	1	no	—
1630	C₂×C₃×C₄	—	2	1	no	—
1631	C₂×C₃×C₄	—	2	1	no	—
1632	C₂×C₃×C₄	—	2	1	no	—
1633	C₂×C₃×C₄	—	3	1	no	—
1634	C₂×C₃×C₄	—	3	1	no	—
1635	C₂×C₃×C₄	—	3	1	no	—
1636	C₂×C₃×C₄	—	3	1	no	—
1637	C₂×C₃×C₄	—	3	1	no	—
1638	C₂×C₃×C₄	—	3	1	no	—
1639	C₂×C₃×C₄	—	3	1	no	—
1640	C₂×C₃×C₄	—	3	1	no	—
1641	C₂×C₃×C₄	—	3	1	no	—
1642	C₂×C₃×C₄	—	3	1	no	—
1643	C₂×C₃×C₄	—	3	1	no	—
1644	C₂×C₃×C₄	—	3	1	no	—
1645	C₂×C₃×C₄	—	3	1	no	—
1646	C₂×C₃×C₄	—	4	1	no	—
1647	C₂×C₃×C₄	—	4	1	no	—
1648	C₂×C₃×C₄	—	4	1	no	—
1649	C₂×C₃×C₄	—	4	1	no	—
1650	C₂×C₃×C₄	—	4	1	no	—
1651	C₂×C₃×C₄	—	4	1	no	—
1652	C₂×C₃×C₄	—	4	1	no	—
1653	C₂×C₃×C₄	—	4	1	no	—
1654	C₂×C₃×C₄	—	4	2	no	—
1655	C₂×C₃×C₄	—	4	2	no	—
1656	C₂×C₃×C₄	—	4	2	no	—
1657	C₂×C₃×C₄	—	4	2	no	—
1658	C₂×C₃×C₄	—	6	2	no	—
1659	C₂×C₃×C₄	—	6	2	no	—
1660	C₂×C₃×C₄	—	6	2	no	—
1661	C₂×C₃×C₄	—	12	1	no	—
1662	C₂×C₃×C₄	—	12	1	no	—
1663	C₂×C₃×C₄	—	12	1	no	—
1664	C₂×C₃×C₄	—	12	1	no	—
1665	C₂×C₃×C₄	—	12	1	no	—
1666	C₂×C₃×C₄	—	12	1	no	—
1667	C₂×C₃×C₄	—	12	1	no	—
1668	C₂×C₃×C₄	—	12	1	no	—
1669	C₂×C₃×C₄	—	12	1	no	—
1670	C₂×C₃×C₄	—	12	1	no	—
1671	C₂×C₃×C₄	—	12	1	no	—
1672	C₂×C₃×C₄	—	12	1	no	—
1673	C₂×C₃×C₄	—	12	1	no	—
1674	C₂×C₃×C₄	—	12	1	no	—
1675	C₂×C₃×C₄	—	12	1	no	—
1676	C₂×C₃×C₄	—	12	1	no	—
1677	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1678	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1679	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1680	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1681	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1682	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1683	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1684	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1685	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1686	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1687	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1688	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1689	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1690	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1691	#67	—	2	2	no	—
1692	#67	—	2	2	no	—
1693	#67	—	2	2	no	—
1694	#67	—	2	2	no	—
1695	#67	—	4	1	no	—
1696	#67	—	4	1	no	—
1697	#67	—	4	1	no	—
1698	#67	—	4	1	no	—
1699	#67	—	4	1	no	—
1700	#67	—	4	1	no	—
1701	#67	—	4	1	no	—
1702	#67	—	4	1	no	—
1703	#67	—	4	1	no	—
1704	#67	—	4	1	no	—
1705	#67	—	4	1	no	—
1706	#67	—	4	1	no	—
1707	#67	—	4	1	no	—
1708	#67	—	4	1	no	—
1709	#67	—	4	1	no	—
1710	#67	—	4	1	no	—
1711	C₂×Dic₃	—	2	2	no	—
1712	C₂×Dic₃	—	2	2	no	—
1713	C₂×Dic₃	—	2	2	no	—
1714	C₂×Dic₃	—	4	1	no	—
1715	C₂×Dic₃	—	4	1	no	—
1716	C₂×Dic₃	—	4	1	no	—
1717	C₂×Dic₃	—	4	1	no	—
1718	C₂×Dic₃	—	4	1	no	—
1719	C₂×Dic₃	—	4	1	no	—
1720	C₂×Dic₃	—	4	1	no	—
1721	C₂×Dic₃	—	4	1	no	—
1722	C₂×Dic₃	—	4	1	no	—
1723	C₂×Dic₃	—	4	1	no	—
1724	C₂×Dic₃	—	4	1	no	—
1725	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1726	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1727	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1728	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1729	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1730	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1731	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1732	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1733	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1734	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1735	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1736	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1737	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1738	D₁₂	—	4	1	no	—
1739	C₄×D₃	—	4	1	no	—
1740	C₄×D₃	—	4	1	no	—
1741	C₄×D₃	—	4	1	no	—
1742	C₄×D₃	—	4	1	no	—
1743	C₄×D₃	—	4	1	no	—
1744	Dic₆	—	4	1	no	—
1745	Dic₆	—	4	1	no	—
1746	Dic₆	—	4	1	no	—
1747	C₂×C₃²	—	2	2	no	—
1748	C₂×C₃²	—	2	2	no	—
1749	C₂×C₃²	—	4	1	no	—
1750	C₂×C₃²	—	4	1	no	—
1751	C₂×C₃²	—	4	1	no	—
1752	C₂×C₃²	—	4	1	no	—
1753	C₂×C₃²	—	4	1	no	—
1754	C₂×C₃²	—	4	1	no	—
1755	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1756	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1757	C₂×C₃²	#585	1	1	yes	characteristic
1758	C₃×D₃	—	4	1	no	—
1759	C₃×D₃	—	4	1	no	—
1760	C₃×D₃	—	4	1	no	—
1761	C₂⁴	—	3	1	no	—
1762	C₂⁴	—	3	1	no	—
1763	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1764	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1765	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1766	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1767	#41	—	12	2	no	—
1768	#41	—	12	2	no	—
1769	#41	—	12	2	no	—
1770	C₂×Q₈	—	3	1	no	—
1771	C₂×Q₈	—	3	1	no	—
1772	C₂×Q₈	—	3	1	no	—
1773	C₂×D₄	—	3	1	no	—
1774	C₂×D₄	—	3	1	no	—
1775	C₂×D₄	—	3	1	no	—
1776	C₂×D₄	—	3	1	no	—
1777	C₂×D₄	—	3	1	no	—
1778	C₂×D₄	—	3	1	no	—
1779	C₂×D₄	—	3	1	no	—
1780	C₂×D₄	—	3	1	no	—
1781	C₂×D₄	—	3	1	no	—
1782	C₂×D₄	—	3	1	no	—
1783	C₂×D₄	—	3	1	no	—
1784	C₂×D₄	—	3	1	no	—
1785	C₂×D₄	—	3	1	no	—
1786	C₂×D₄	—	3	1	no	—
1787	C₂×D₄	—	3	1	no	—
1788	C₂×D₄	—	3	1	no	—
1789	C₂×D₄	—	3	1	no	—
1790	C₂×D₄	—	3	1	no	—
1791	C₂×D₄	—	3	1	no	—
1792	C₂×D₄	—	3	1	no	—
1793	C₂×D₄	—	3	1	no	—
1794	C₂×D₄	—	4	2	no	—
1795	C₂×D₄	—	4	2	no	—
1796	C₂×D₄	—	4	2	no	—
1797	C₂×D₄	—	4	2	no	—
1798	C₂×D₄	—	12	2	no	—
1799	C₂×D₄	—	12	2	no	—
1800	C₂×D₄	—	12	2	no	—
1801	C₂×D₄	—	12	2	no	—
1802	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1803	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1804	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1805	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1806	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1807	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1808	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1809	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1810	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1811	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1812	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1813	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1814	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1815	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1816	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1817	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1818	C₂²×C₄	—	3	1	no	—
1819	C₂²×C₄	—	3	1	no	—
1820	C₂²×C₄	—	3	1	no	—
1821	C₂²×C₄	—	3	1	no	—
1822	C₂²×C₄	—	3	1	no	—
1823	C₂²×C₄	—	3	1	no	—
1824	C₂²×C₄	—	3	1	no	—
1825	C₂²×C₄	—	3	1	no	—
1826	C₂²×C₄	—	3	1	no	—
1827	C₂²×C₄	—	3	1	no	—
1828	C₂²×C₄	—	3	1	no	—
1829	C₂²×C₄	—	3	1	no	—
1830	C₂²×C₄	—	3	1	no	—
1831	C₂²×C₄	—	3	1	no	—
1832	C₂²×C₄	—	3	1	no	—
1833	C₂²×C₄	—	3	1	no	—
1834	C₂²×C₄	—	3	1	no	—
1835	C₂²×C₄	—	3	1	no	—
1836	C₂²×C₄	—	3	1	no	—
1837	C₂²×C₄	—	12	2	no	—
1838	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1839	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1840	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1841	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1842	C₄⋊C₄	—	3	1	no	—
1843	C₄⋊C₄	—	3	1	no	—
1844	C₄⋊C₄	—	3	1	no	—
1845	C₄⋊C₄	—	3	1	no	—
1846	C₄⋊C₄	—	3	1	no	—
1847	C₄⋊C₄	—	3	1	no	—
1848	C₄⋊C₄	—	3	1	no	—
1849	C₄⋊C₄	—	3	1	no	—
1850	C₄⋊C₄	—	3	1	no	—
1851	C₄⋊C₄	—	3	1	no	—
1852	C₄⋊C₄	—	3	1	no	—
1853	C₄⋊C₄	—	3	1	no	—
1854	C₄⋊C₄	—	3	1	no	—
1855	C₄⋊C₄	—	3	1	no	—
1856	C₄⋊C₄	—	3	1	no	—
1857	C₄⋊C₄	—	3	1	no	—
1858	C₄⋊C₄	—	3	1	no	—
1859	C₄⋊C₄	—	3	1	no	—
1860	C₄⋊C₄	—	3	1	no	—
1861	C₄⋊C₄	—	3	1	no	—
1862	C₄⋊C₄	—	3	1	no	—
1863	C₄⋊C₄	—	3	1	no	—
1864	C₄⋊C₄	—	3	1	no	—
1865	C₄⋊C₄	—	3	1	no	—
1866	C₄⋊C₄	—	3	1	no	—
1867	C₄⋊C₄	—	3	1	no	—
1868	C₄⋊C₄	—	3	1	no	—
1869	C₄⋊C₄	—	3	1	no	—
1870	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1871	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1872	C₂²⋊C₄	—	3	1	no	—
1873	C₂²⋊C₄	—	3	1	no	—
1874	C₂²⋊C₄	—	3	1	no	—
1875	C₂²⋊C₄	—	3	1	no	—
1876	C₂²⋊C₄	—	3	1	no	—
1877	C₂²⋊C₄	—	3	1	no	—
1878	C₂²⋊C₄	—	3	1	no	—
1879	C₂²⋊C₄	—	3	1	no	—
1880	C₂²⋊C₄	—	3	1	no	—
1881	C₂²⋊C₄	—	3	1	no	—
1882	C₂²⋊C₄	—	3	1	no	—
1883	C₂²⋊C₄	—	3	1	no	—
1884	C₂²⋊C₄	—	3	1	no	—
1885	C₂²⋊C₄	—	3	1	no	—
1886	C₂²⋊C₄	—	3	1	no	—
1887	C₂²⋊C₄	—	3	1	no	—
1888	C₂²⋊C₄	—	3	1	no	—
1889	C₂²⋊C₄	—	3	1	no	—
1890	C₂²⋊C₄	—	3	1	no	—
1891	C₂²⋊C₄	—	3	1	no	—
1892	C₂²⋊C₄	—	3	1	no	—
1893	C₂²⋊C₄	—	3	1	no	—
1894	C₂²⋊C₄	—	3	1	no	—
1895	C₂²⋊C₄	—	3	1	no	—
1896	C₂²⋊C₄	—	3	1	no	—
1897	C₂²⋊C₄	—	3	1	no	—
1898	C₂²⋊C₄	—	3	1	no	—
1899	C₂²⋊C₄	—	3	1	no	—
1900	C₂²⋊C₄	—	3	1	no	—
1901	C₂²⋊C₄	—	3	1	no	—
1902	C₂²⋊C₄	—	3	1	no	—
1903	C₂²⋊C₄	—	3	1	no	—
1904	C₂²⋊C₄	—	3	1	no	—
1905	C₂²⋊C₄	—	3	1	no	—
1906	C₂²⋊C₄	—	3	1	no	—
1907	C₂²⋊C₄	—	3	1	no	—
1908	C₂²⋊C₄	—	3	1	no	—
1909	C₂²⋊C₄	—	3	1	no	—
1910	C₂²⋊C₄	—	3	1	no	—
1911	C₂²⋊C₄	—	3	1	no	—
1912	C₂²⋊C₄	—	3	1	no	—
1913	C₂²⋊C₄	—	3	1	no	—
1914	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1915	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1916	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1917	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1918	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1919	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1920	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1921	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1922	C₄²	—	3	1	no	—
1923	C₄²	—	3	1	no	—
1924	C₄²	—	3	1	no	—
1925	C₄²	—	3	1	no	—
1926	C₄²	—	3	1	no	—
1927	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1928	C₂²×C₃	—	2	1	no	—
1929	C₂²×C₃	—	2	1	no	—
1930	C₂²×C₃	—	2	1	no	—
1931	C₂²×C₃	—	2	1	no	—
1932	C₂²×C₃	—	2	1	no	—
1933	C₂²×C₃	—	2	1	no	—
1934	C₂²×C₃	—	2	1	no	—
1935	C₂²×C₃	—	2	1	no	—
1936	C₂²×C₃	—	2	2	no	—
1937	C₂²×C₃	—	2	2	no	—
1938	C₂²×C₃	—	2	1	no	—
1939	C₂²×C₃	—	2	1	no	—
1940	C₂²×C₃	—	2	1	no	—
1941	C₂²×C₃	—	2	1	no	—
1942	C₂²×C₃	—	2	1	no	—
1943	C₂²×C₃	—	2	1	no	—
1944	C₂²×C₃	—	2	1	no	—
1945	C₂²×C₃	—	2	1	no	—
1946	C₂²×C₃	—	2	1	no	—
1947	C₂²×C₃	—	2	1	no	—
1948	C₂²×C₃	—	2	1	no	—
1949	C₂²×C₃	—	2	1	no	—
1950	C₂²×C₃	—	2	1	no	—
1951	C₂²×C₃	—	2	1	no	—
1952	C₂²×C₃	—	2	1	no	—
1953	C₂²×C₃	—	2	1	no	—
1954	C₂²×C₃	—	2	1	no	—
1955	C₂²×C₃	—	2	1	no	—
1956	C₂²×C₃	—	2	1	no	—
1957	C₂²×C₃	—	2	1	no	—
1958	C₂²×C₃	—	2	1	no	—
1959	C₂²×C₃	—	2	1	no	—
1960	C₂²×C₃	—	2	1	no	—
1961	C₂²×C₃	—	2	1	no	—
1962	C₂²×C₃	—	2	1	no	—
1963	C₂²×C₃	—	2	1	no	—
1964	C₂²×C₃	—	2	1	no	—
1965	C₂²×C₃	—	2	1	no	—
1966	C₂²×C₃	—	2	1	no	—
1967	C₂²×C₃	—	2	1	no	—
1968	C₂²×C₃	—	2	1	no	—
1969	C₂²×C₃	—	2	1	no	—
1970	C₂²×C₃	—	2	1	no	—
1971	C₂²×C₃	—	2	1	no	—
1972	C₂²×C₃	—	2	1	no	—
1973	C₂²×C₃	—	2	1	no	—
1974	C₂²×C₃	—	2	2	no	—
1975	C₂²×C₃	—	2	2	no	—
1976	C₂²×C₃	—	2	1	no	—
1977	C₂²×C₃	—	4	1	no	—
1978	C₂²×C₃	—	4	1	no	—
1979	C₂²×C₃	—	4	1	no	—
1980	C₂²×C₃	—	4	1	no	—
1981	C₂²×C₃	—	4	1	no	—
1982	C₂²×C₃	—	4	1	no	—
1983	C₂²×C₃	—	4	1	no	—
1984	C₂²×C₃	—	4	1	no	—
1985	C₂²×C₃	—	4	1	no	—
1986	C₂²×C₃	—	4	1	no	—
1987	C₂²×C₃	—	4	1	no	—
1988	C₂²×C₃	—	4	1	no	—
1989	C₂²×C₃	—	4	1	no	—
1990	C₂²×C₃	—	4	1	no	—
1991	C₂²×C₃	—	4	1	no	—
1992	C₂²×C₃	—	4	1	no	—
1993	C₂²×C₃	—	4	1	no	—
1994	C₂²×C₃	—	4	1	no	—
1995	C₂²×C₃	—	4	1	no	—
1996	C₂²×C₃	—	4	1	no	—
1997	C₂²×C₃	—	4	4	no	—
1998	C₂²×C₃	—	4	4	no	—
1999	C₂²×C₃	—	6	1	no	—
2000	C₂²×C₃	—	6	1	no	—
2001	C₂²×C₃	—	6	1	no	—
2002	C₂²×C₃	—	6	1	no	—
2003	C₂²×C₃	—	6	1	no	—
2004	C₂²×C₃	—	6	1	no	—
2005	C₂²×C₃	—	6	1	no	—
2006	C₂²×C₃	—	6	1	no	—
2007	C₂²×C₃	—	6	1	no	—
2008	C₂²×C₃	—	8	4	no	—
2009	C₂²×C₃	—	8	2	no	—
2010	C₂²×C₃	—	8	2	no	—
2011	C₂²×C₃	—	8	2	no	—
2012	C₂²×C₃	—	8	2	no	—
2013	C₂²×C₃	—	8	2	no	—
2014	C₂²×C₃	—	8	2	no	—
2015	C₂²×C₃	—	8	4	no	—
2016	C₂²×C₃	—	8	4	no	—
2017	C₂²×C₃	—	8	4	no	—
2018	C₂²×C₃	—	24	2	no	—
2019	C₂²×C₃	—	24	2	no	—
2020	C₂²×C₃	#1004	1	2	yes	—
2021	C₂²×C₃	#1004	1	2	yes	—
2022	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
2023	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
2024	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
2025	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
2026	C₂×D₃	—	2	1	no	—
2027	C₂×D₃	—	2	1	no	—
2028	C₂×D₃	—	2	1	no	—
2029	C₂×D₃	—	2	1	no	—
2030	C₂×D₃	—	2	1	no	—
2031	C₂×D₃	—	2	1	no	—
2032	C₂×D₃	—	2	1	no	—
2033	C₂×D₃	—	2	1	no	—
2034	C₂×D₃	—	2	1	no	—
2035	C₂×D₃	—	8	2	no	—
2036	C₂×D₃	—	8	2	no	—
2037	C₃×C₄	—	2	2	no	—
2038	C₃×C₄	—	2	2	no	—
2039	C₃×C₄	—	2	1	no	—
2040	C₃×C₄	—	2	1	no	—
2041	C₃×C₄	—	2	1	no	—
2042	C₃×C₄	—	2	1	no	—
2043	C₃×C₄	—	2	1	no	—
2044	C₃×C₄	—	2	1	no	—
2045	C₃×C₄	—	2	1	no	—
2046	C₃×C₄	—	2	1	no	—
2047	C₃×C₄	—	2	1	no	—
2048	C₃×C₄	—	2	1	no	—
2049	C₃×C₄	—	2	1	no	—
2050	C₃×C₄	—	2	1	no	—
2051	C₃×C₄	—	2	1	no	—
2052	C₃×C₄	—	2	1	no	—
2053	C₃×C₄	—	4	1	no	—
2054	C₃×C₄	—	4	1	no	—
2055	C₃×C₄	—	4	1	no	—
2056	C₃×C₄	—	4	1	no	—
2057	C₃×C₄	—	4	1	no	—
2058	C₃×C₄	—	6	1	no	—
2059	C₃×C₄	—	6	1	no	—
2060	C₃×C₄	—	6	1	no	—
2061	C₃×C₄	—	6	1	no	—
2062	C₃×C₄	—	6	1	no	—
2063	C₃×C₄	—	6	1	no	—
2064	C₃×C₄	—	6	1	no	—
2065	C₃×C₄	—	6	1	no	—
2066	C₃×C₄	—	6	1	no	—
2067	C₃×C₄	—	6	1	no	—
2068	C₃×C₄	—	6	1	no	—
2069	C₃×C₄	—	6	1	no	—
2070	C₃×C₄	—	6	1	no	—
2071	Dic₃	—	2	1	no	—
2072	Dic₃	—	2	1	no	—
2073	Dic₃	—	2	1	no	—
2074	Dic₃	—	2	1	no	—
2075	Dic₃	—	2	1	no	—
2076	Dic₃	—	2	1	no	—
2077	Dic₃	—	2	1	no	—
2078	Dic₃	—	2	1	no	—
2079	Dic₃	—	2	1	no	—
2080	Dic₃	—	2	1	no	—
2081	Dic₃	—	2	1	no	—
2082	Dic₃	—	2	1	no	—
2083	Dic₃	—	2	1	no	—
2084	C₃²	#3534	1	1	yes	characteristic, complemented, Sylow
2085	C₂³	—	2	2	no	—
2086	C₂³	—	2	2	no	—
2087	C₂³	—	2	2	no	—
2088	C₂³	—	2	2	no	—
2089	C₂³	—	3	1	no	—
2090	C₂³	—	3	1	no	—
2091	C₂³	—	3	1	no	—
2092	C₂³	—	4	1	no	—
2093	C₂³	—	4	1	no	—
2094	C₂³	—	4	1	no	—
2095	C₂³	—	4	1	no	—
2096	C₂³	—	4	1	no	—
2097	C₂³	—	4	1	no	—
2098	C₂³	—	4	1	no	—
2099	C₂³	—	4	1	no	—
2100	C₂³	—	6	2	no	—
2101	C₂³	—	12	1	no	—
2102	C₂³	—	12	1	no	—
2103	C₂³	—	12	1	no	—
2104	C₂³	—	12	1	no	—
2105	C₂³	—	12	1	no	—
2106	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2107	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2108	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2109	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2110	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2111	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2112	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2113	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
2114	Q₈	—	12	1	no	—
2115	Q₈	—	12	1	no	—
2116	Q₈	—	12	1	no	—
2117	D₄	—	2	2	no	—
2118	D₄	—	2	2	no	—
2119	D₄	—	2	2	no	—
2120	D₄	—	2	2	no	—
2121	D₄	—	2	2	no	—
2122	D₄	—	2	2	no	—
2123	D₄	—	4	1	no	—
2124	D₄	—	4	1	no	—
2125	D₄	—	4	1	no	—
2126	D₄	—	4	1	no	—
2127	D₄	—	4	1	no	—
2128	D₄	—	4	1	no	—
2129	D₄	—	4	1	no	—
2130	D₄	—	4	1	no	—
2131	D₄	—	4	1	no	—
2132	D₄	—	4	1	no	—
2133	D₄	—	6	2	no	—
2134	D₄	—	6	2	no	—
2135	D₄	—	6	2	no	—
2136	D₄	—	6	2	no	—
2137	D₄	—	12	1	no	—
2138	D₄	—	12	1	no	—
2139	D₄	—	12	1	no	—
2140	D₄	—	12	1	no	—
2141	D₄	—	12	1	no	—
2142	D₄	—	12	1	no	—
2143	D₄	—	12	1	no	—
2144	D₄	—	12	1	no	—
2145	D₄	—	12	1	no	—
2146	D₄	—	12	1	no	—
2147	D₄	—	12	1	no	—
2148	D₄	—	12	1	no	—
2149	D₄	—	12	1	no	—
2150	D₄	—	12	1	no	—
2151	D₄	—	12	1	no	—
2152	D₄	—	12	1	no	—
2153	D₄	—	12	1	no	—
2154	C₂×C₄	—	3	1	no	—
2155	C₂×C₄	—	3	1	no	—
2156	C₂×C₄	—	3	1	no	—
2157	C₂×C₄	—	3	1	no	—
2158	C₂×C₄	—	3	1	no	—
2159	C₂×C₄	—	3	1	no	—
2160	C₂×C₄	—	3	1	no	—
2161	C₂×C₄	—	3	1	no	—
2162	C₂×C₄	—	3	1	no	—
2163	C₂×C₄	—	3	1	no	—
2164	C₂×C₄	—	3	1	no	—
2165	C₂×C₄	—	3	1	no	—
2166	C₂×C₄	—	3	1	no	—
2167	C₂×C₄	—	4	1	no	—
2168	C₂×C₄	—	4	1	no	—
2169	C₂×C₄	—	4	1	no	—
2170	C₂×C₄	—	4	1	no	—
2171	C₂×C₄	—	6	2	no	—
2172	C₂×C₄	—	6	2	no	—
2173	C₂×C₄	—	6	2	no	—
2174	C₂×C₄	—	12	1	no	—
2175	C₂×C₄	—	12	1	no	—
2176	C₂×C₄	—	12	1	no	—
2177	C₂×C₄	—	12	1	no	—
2178	C₂×C₄	—	12	1	no	—
2179	C₂×C₄	—	12	1	no	—
2180	C₂×C₄	—	12	1	no	—
2181	C₂×C₄	—	12	1	no	—
2182	C₂×C₄	—	12	1	no	—
2183	C₂×C₄	—	12	1	no	—
2184	C₂×C₄	—	12	1	no	—
2185	C₂×C₄	—	12	1	no	—
2186	C₂×C₄	—	12	1	no	—
2187	C₂×C₄	—	12	1	no	—
2188	C₂×C₄	—	12	1	no	—
2189	C₂×C₄	—	12	1	no	—
2190	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2191	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2192	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2193	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2194	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2195	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2196	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
2197	C₂×C₃	—	2	2	no	—
2198	C₂×C₃	—	2	2	no	—
2199	C₂×C₃	—	2	2	no	—
2200	C₂×C₃	—	2	2	no	—
2201	C₂×C₃	—	2	1	no	—
2202	C₂×C₃	—	2	1	no	—
2203	C₂×C₃	—	2	1	no	—
2204	C₂×C₃	—	4	2	no	—
2205	C₂×C₃	—	4	2	no	—
2206	C₂×C₃	—	4	2	no	—
2207	C₂×C₃	—	4	2	no	—
2208	C₂×C₃	—	4	1	no	—
2209	C₂×C₃	—	4	1	no	—
2210	C₂×C₃	—	4	1	no	—
2211	C₂×C₃	—	4	1	no	—
2212	C₂×C₃	—	4	1	no	—
2213	C₂×C₃	—	4	1	no	—
2214	C₂×C₃	—	4	1	no	—
2215	C₂×C₃	—	4	1	no	—
2216	C₂×C₃	—	4	1	no	—
2217	C₂×C₃	—	4	1	no	—
2218	C₂×C₃	—	4	1	no	—
2219	C₂×C₃	—	4	1	no	—
2220	C₂×C₃	—	8	1	no	—
2221	C₂×C₃	—	8	1	no	—
2222	C₂×C₃	—	8	1	no	—
2223	C₂×C₃	—	8	1	no	—
2224	C₂×C₃	—	12	1	no	—
2225	C₂×C₃	—	12	1	no	—
2226	C₂×C₃	—	12	1	no	—
2227	C₂×C₃	C₂×#1004	1	1	yes	characteristic
2228	C₂×C₃	C₂×#1004	1	1	yes	characteristic
2229	C₂×C₃	#5966	1	1	yes	characteristic
2230	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2231	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
2232	C₂×C₃	C₃×#585	1	1	yes	characteristic
2233	D₃	—	4	1	no	—
2234	D₃	—	4	1	no	—
2235	D₃	—	4	1	no	—
2236	C₂²	—	2	1	no	—
2237	C₂²	—	2	1	no	—
2238	C₂²	—	2	1	no	—
2239	C₂²	—	2	1	no	—
2240	C₂²	—	2	1	no	—
2241	C₂²	—	2	1	no	—
2242	C₂²	—	2	1	no	—
2243	C₂²	—	2	1	no	—
2244	C₂²	—	2	1	no	—
2245	C₂²	—	2	1	no	—
2246	C₂²	—	2	1	no	—
2247	C₂²	—	2	1	no	—
2248	C₂²	—	2	1	no	—
2249	C₂²	—	2	1	no	—
2250	C₂²	—	2	1	no	—
2251	C₂²	—	2	1	no	—
2252	C₂²	—	2	1	no	—
2253	C₂²	—	2	1	no	—
2254	C₂²	—	2	1	no	—
2255	C₂²	—	2	1	no	—
2256	C₂²	—	2	1	no	—
2257	C₂²	—	2	1	no	—
2258	C₂²	—	4	4	no	—
2259	C₂²	—	6	1	no	—
2260	C₂²	—	6	1	no	—
2261	C₂²	—	6	1	no	—
2262	C₂²	—	6	1	no	—
2263	C₂²	—	6	1	no	—
2264	C₂²	—	6	1	no	—
2265	C₂²	—	6	1	no	—
2266	C₂²	—	6	1	no	—
2267	C₂²	—	6	1	no	—
2268	C₂²	—	8	2	no	—
2269	C₂²	—	8	2	no	—
2270	C₂²	—	8	2	no	—
2271	C₂²	—	24	2	no	—
2272	C₂²	—	24	2	no	—
2273	C₂²	C₃×#1004	1	2	yes	—
2274	C₂²	C₃×#1004	1	2	yes	—
2275	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
2276	C₄	—	2	1	no	—
2277	C₄	—	2	1	no	—
2278	C₄	—	2	1	no	—
2279	C₄	—	2	1	no	—
2280	C₄	—	2	1	no	—
2281	C₄	—	2	1	no	—
2282	C₄	—	2	1	no	—
2283	C₄	—	6	1	no	—
2284	C₄	—	6	1	no	—
2285	C₄	—	6	1	no	—
2286	C₄	—	6	1	no	—
2287	C₄	—	6	1	no	—
2288	C₄	—	6	1	no	—
2289	C₄	—	6	1	no	—
2290	C₄	—	6	1	no	—
2291	C₄	—	6	1	no	—
2292	C₄	—	6	1	no	—
2293	C₄	—	6	1	no	—
2294	C₄	—	6	1	no	—
2295	C₄	—	6	1	no	—
2296	C₃	—	2	1	no	—
2297	C₃	#86613	1	1	yes	characteristic, direct product factor
2298	C₃	C₃×#3534	1	1	yes	characteristic, complemented
2299	C₂	—	2	2	no	—
2300	C₂	—	2	2	no	—
2301	C₂	—	4	1	no	—
2302	C₂	—	4	1	no	—
2303	C₂	—	4	1	no	—
2304	C₂	—	4	1	no	—
2305	C₂	—	4	1	no	—
2306	C₂	—	4	1	no	—
2307	C₂	—	12	1	no	—
2308	C₂	—	12	1	no	—
2309	C₂	—	12	1	no	—
2310	C₂	C₂×C₃×#1004	1	1	yes	characteristic
2311	C₂	C₂×C₃×#1004	1	1	yes	characteristic
2312	C₂	C₃×#5966	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×D₄²	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×D₄²	D₃
hypocenter	C₃	C₃×#3534
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×D₄²

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₃²×D₄²	C₂	semidirect
2. C₃×#5806	C₂	semidirect
3. C₃×#5806	C₂	semidirect
4. C₃×#5806	C₂	semidirect
5. C₃×#5804	C₂	semidirect
6. C₃×#5804	C₂	semidirect
7. C₂×C₃×#939	C₂	semidirect
8. C₃×D₄×#67	C₂	semidirect
9. C₂×C₃×#935	C₂	semidirect
10. C₃×#5720	C₂	semidirect
11. C₃×#5719	C₂	semidirect
12. C₃×#5621	C₂	semidirect
13. C₃×#5621	C₂	semidirect
14. C₃×#5615	C₂	semidirect
15. C₃×#5613	C₂	semidirect
16. C₃×#5610	C₂	semidirect
17. C₃×#5602	C₂	semidirect
18. C₃×#5601	C₂	semidirect
19. C₃×#5597	C₂	semidirect
20. C₃×#5595	C₂	semidirect
21. C₃×#5593	C₂	semidirect
22. C₃×#5593	C₂	semidirect
23. C₃×#5591	C₂	semidirect
24. C₃×#5591	C₂	semidirect
25. C₃×#5589	C₂	semidirect
26. C₃×#5587	C₂	semidirect
27. C₃×#5586	C₂	semidirect
28. C₃×#5564	C₂	semidirect
29. C₃×#5564	C₂	semidirect
30. C₃×#5556	C₂	semidirect
31. C₃×#5540	C₂	semidirect
33. #86613	C₃	direct (N × H)
35. C₂²×C₃²×D₄	C₂²	semidirect
36. C₂²×C₃²×D₄	C₂²	semidirect
37. C₂²×C₃²×D₄	C₂²	semidirect
38. C₂²×C₃×#67	C₂²	semidirect
39. C₂²×C₃×#67	C₂²	semidirect
40. C₂²×C₃×#67	C₂²	semidirect
41. C₂³×C₃×Dic₃	C₂²	semidirect
42. C₂×C₃×#237	C₂²	semidirect
43. C₂×C₃×#237	C₂²	semidirect
44. C₂×C₃×#237	C₂²	semidirect
45. C₂×C₃×D₃×D₄	C₂²	semidirect
46. C₃²×#127	C₂²	semidirect
48. C₃²×#121	C₂²	semidirect
49. C₃²×#121	C₂²	semidirect
50. C₃²×#121	C₂²	semidirect
52. C₃²×#120	C₂²	semidirect
53. C₃²×#120	C₂²	semidirect
54. C₃²×#120	C₂²	semidirect
55. C₃²×C₄×D₄	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₃×#953	C₂²	semidirect
58. C₃×#953	C₂²	semidirect
59. C₃×#953	C₂²	semidirect
60. C₃×#953	C₂²	semidirect
61. C₃×#953	C₂²	semidirect
62. C₃×#953	C₂²	semidirect
63. C₂×C₃×#217	C₂²	semidirect
64. C₂×C₃×#217	C₂²	semidirect
65. C₂×C₃×#217	C₂²	semidirect
66. C₂×C₃×#217	C₂²	semidirect
67. C₂×C₃×#217	C₂²	semidirect
68. C₂×C₃×#217	C₂²	semidirect
69. C₃×#940	C₂²	semidirect
72. C₃×#939	C₂²	semidirect
73. C₃×#939	C₂²	semidirect
74. C₃×#939	C₂²	semidirect
75. C₃×#939	C₂²	semidirect
76. C₃×#939	C₂²	semidirect
77. C₃×#939	C₂²	semidirect
78. C₃×#939	C₂²	semidirect
79. C₃×#939	C₂²	semidirect
80. C₃×#939	C₂²	semidirect
81. C₃×#939	C₂²	semidirect
82. C₃×#939	C₂²	semidirect
83. C₃×#939	C₂²	semidirect
84. C₃×#939	C₂²	semidirect
85. C₃×#939	C₂²	semidirect
86. C₃×#939	C₂²	semidirect
87. C₃×#939	C₂²	semidirect
88. C₃×#939	C₂²	semidirect
89. C₃×#939	C₂²	semidirect
90. C₃×#939	C₂²	semidirect
91. C₃×#939	C₂²	semidirect
92. C₃×#938	C₂²	semidirect
93. C₃×#938	C₂²	semidirect
94. C₃×#938	C₂²	semidirect
95. C₃×#938	C₂²	semidirect
96. C₃×#938	C₂²	semidirect
97. C₃×#938	C₂²	semidirect
99. C₃×#937	C₂²	semidirect
100. C₃×#937	C₂²	semidirect
101. C₃×#937	C₂²	semidirect
102. C₃×#937	C₂²	semidirect
103. C₃×#937	C₂²	semidirect
104. C₃×#936	C₂²	semidirect
105. C₃×#936	C₂²	semidirect
106. C₃×#936	C₂²	semidirect
107. C₃×#935	C₂²	semidirect
108. C₃×#935	C₂²	semidirect
109. C₃×#935	C₂²	semidirect
110. C₃×#935	C₂²	semidirect
111. C₃×#935	C₂²	semidirect
112. C₃×#935	C₂²	semidirect
113. C₃×#935	C₂²	semidirect
114. C₃×#935	C₂²	semidirect
115. C₃×#935	C₂²	semidirect
116. C₃×#935	C₂²	semidirect
117. C₃×#935	C₂²	semidirect
118. C₃×#935	C₂²	semidirect
119. C₃×#935	C₂²	semidirect
120. C₃×#935	C₂²	semidirect
121. C₃×#935	C₂²	semidirect
122. C₃×#935	C₂²	semidirect
123. C₃×D₄×Dic₃	C₂²	semidirect
124. C₃×D₄×Dic₃	C₂²	semidirect
125. C₃×D₄×Dic₃	C₂²	semidirect
126. C₃×D₄×Dic₃	C₂²	semidirect
127. C₃×D₄×Dic₃	C₂²	semidirect
128. C₃×D₄×Dic₃	C₂²	semidirect
129. C₃×#930	C₂²	semidirect
130. C₃×#929	C₂²	semidirect
131. C₃×#929	C₂²	semidirect
132. C₃×#929	C₂²	semidirect
133. C₃×#929	C₂²	semidirect
134. C₃×C₄×#67	C₂²	semidirect
135. C₃×C₄×#67	C₂²	semidirect
136. C₃×C₄×#67	C₂²	semidirect
137. C₃×C₄×#67	C₂²	semidirect
138. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
139. C₃×#924	C₂²	semidirect
140. C₃×#924	C₂²	semidirect
141. C₃×#924	C₂²	semidirect
142. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
143. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
144. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
145. C₃×#898	C₂²	semidirect
146. C₃×#896	C₂²	semidirect
147. C₃×#896	C₂²	semidirect
148. C₃×#896	C₂²	semidirect
149. C₃×#894	C₂²	semidirect
150. C₃×#889	C₂²	semidirect
151. C₃×#889	C₂²	semidirect
152. C₃×#889	C₂²	semidirect
153. C₃×#886	C₂²	semidirect
154. C₃×#886	C₂²	semidirect
155. C₃×#885	C₂²	semidirect
156. C₃×#885	C₂²	semidirect
157. C₃×#885	C₂²	semidirect
158. C₃×#884	C₂²	semidirect
159. C₃×#884	C₂²	semidirect
160. C₃×#884	C₂²	semidirect
161. C₃×#883	C₂²	semidirect
162. C₃×#883	C₂²	semidirect
163. C₃×#883	C₂²	semidirect
164. C₃×#883	C₂²	semidirect
165. C₃×#883	C₂²	semidirect
166. C₃×#67⋊C₄	C₂²	semidirect
167. C₃×#67⋊C₄	C₂²	semidirect
168. C₃×#67⋊C₄	C₂²	semidirect
169. C₃×#67⋊C₄	C₂²	semidirect
170. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
171. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
172. C₃×#879	C₂²	semidirect
173. C₃×#879	C₂²	semidirect
174. C₃×#879	C₂²	semidirect
175. C₃×#879	C₂²	semidirect
176. C₃×#879	C₂²	semidirect
177. C₃×#878	C₂²	semidirect
178. C₃×#878	C₂²	semidirect
179. C₃×#878	C₂²	semidirect
180. C₃×#878	C₂²	semidirect
181. C₃×#878	C₂²	semidirect
182. C₃×#878	C₂²	semidirect
183. C₃×#877	C₂²	semidirect
184. C₃×#877	C₂²	semidirect
185. C₃×#876	C₂²	semidirect
186. C₃×#876	C₂²	semidirect
187. C₃×#872	C₂²	semidirect
188. C₃×#870	C₂²	semidirect
205. C₃×D₄²	D₃	semidirect
206. C₃×D₄²	C₂×C₃	semidirect
222. #5806	C₂×C₃	semidirect
223. #5806	C₂×C₃	semidirect
224. #5806	C₂×C₃	semidirect
225. #5804	C₂×C₃	semidirect
226. #5804	C₂×C₃	semidirect
227. C₂×#939	C₂×C₃	semidirect
228. D₄×#67	C₂×C₃	semidirect
229. C₂×#935	C₂×C₃	semidirect
230. #5720	C₂×C₃	semidirect
231. #5719	C₂×C₃	semidirect
232. #5621	C₂×C₃	semidirect
233. #5621	C₂×C₃	semidirect
234. #5615	C₂×C₃	semidirect
235. #5613	C₂×C₃	semidirect
236. #5610	C₂×C₃	semidirect
237. #5602	C₂×C₃	semidirect
238. #5601	C₂×C₃	semidirect
239. #5597	C₂×C₃	semidirect
240. #5595	C₂×C₃	semidirect
241. #5593	C₂×C₃	semidirect
242. #5593	C₂×C₃	semidirect
243. #5591	C₂×C₃	semidirect
244. #5591	C₂×C₃	semidirect
245. #5589	C₂×C₃	semidirect
246. #5587	C₂×C₃	semidirect
247. #5586	C₂×C₃	semidirect
248. #5564	C₂×C₃	semidirect
249. #5564	C₂×C₃	semidirect
250. #5556	C₂×C₃	semidirect
251. #5540	C₂×C₃	semidirect
432. C₂²×C₃×D₄	C₂×D₃	semidirect
433. C₂²×C₃×D₄	C₂×D₃	semidirect
434. C₂²×C₃×D₄	C₂×D₃	semidirect
436. C₂²×C₃×D₄	C₂²×C₃	semidirect
437. C₂²×C₃×D₄	C₂²×C₃	semidirect
438. C₂²×C₃×D₄	C₂²×C₃	semidirect
440. C₂²×#67	C₂²×C₃	semidirect
441. C₂²×#67	C₂²×C₃	semidirect
442. C₂²×#67	C₂²×C₃	semidirect
443. C₂³×Dic₃	C₂²×C₃	semidirect
444. C₂×#237	C₂²×C₃	semidirect
445. C₂×#237	C₂²×C₃	semidirect
446. C₂×#237	C₂²×C₃	semidirect
447. C₂×D₃×D₄	C₂²×C₃	semidirect
450. C₃×#127	C₂×D₃	semidirect
451. C₃×#127	C₂²×C₃	semidirect
547. C₃×#121	C₂×D₃	semidirect
548. C₃×#121	C₂×D₃	semidirect
549. C₃×#121	C₂×D₃	semidirect
551. C₃×#121	C₂²×C₃	semidirect
552. C₃×#121	C₂²×C₃	semidirect
553. C₃×#121	C₂²×C₃	semidirect
571. C₃×#120	C₂×D₃	semidirect
572. C₃×#120	C₂×D₃	semidirect
573. C₃×#120	C₂×D₃	semidirect
575. C₃×#120	C₂²×C₃	semidirect
576. C₃×#120	C₂²×C₃	semidirect
577. C₃×#120	C₂²×C₃	semidirect
594. C₃×C₄×D₄	C₂×D₃	semidirect
595. C₃×C₄×D₄	C₂×D₃	semidirect
596. C₃×C₄×D₄	C₂²×C₃	semidirect
597. C₃×C₄×D₄	C₂²×C₃	semidirect
613. #953	C₂²×C₃	semidirect
614. #953	C₂²×C₃	semidirect
615. #953	C₂²×C₃	semidirect
616. #953	C₂²×C₃	semidirect
617. #953	C₂²×C₃	semidirect
618. #953	C₂²×C₃	semidirect
619. C₂×#217	C₂²×C₃	semidirect
620. C₂×#217	C₂²×C₃	semidirect
621. C₂×#217	C₂²×C₃	semidirect
622. C₂×#217	C₂²×C₃	semidirect
623. C₂×#217	C₂²×C₃	semidirect
624. C₂×#217	C₂²×C₃	semidirect
625. #940	C₂²×C₃	semidirect
628. #939	C₂²×C₃	semidirect
629. #939	C₂²×C₃	semidirect
630. #939	C₂²×C₃	semidirect
631. #939	C₂²×C₃	semidirect
632. #939	C₂²×C₃	semidirect
633. #939	C₂²×C₃	semidirect
634. #939	C₂²×C₃	semidirect
635. #939	C₂²×C₃	semidirect
636. #939	C₂²×C₃	semidirect
637. #939	C₂²×C₃	semidirect
638. #939	C₂²×C₃	semidirect
639. #939	C₂²×C₃	semidirect
640. #939	C₂²×C₃	semidirect
641. #939	C₂²×C₃	semidirect
642. #939	C₂²×C₃	semidirect
643. #939	C₂²×C₃	semidirect
644. #939	C₂²×C₃	semidirect
645. #939	C₂²×C₃	semidirect
646. #939	C₂²×C₃	semidirect
647. #939	C₂²×C₃	semidirect
648. #938	C₂²×C₃	semidirect
649. #938	C₂²×C₃	semidirect
650. #938	C₂²×C₃	semidirect
651. #938	C₂²×C₃	semidirect
652. #938	C₂²×C₃	semidirect
653. #938	C₂²×C₃	semidirect
655. #937	C₂²×C₃	semidirect
656. #937	C₂²×C₃	semidirect
657. #937	C₂²×C₃	semidirect
658. #937	C₂²×C₃	semidirect
659. #937	C₂²×C₃	semidirect
660. #936	C₂²×C₃	semidirect
661. #936	C₂²×C₃	semidirect
662. #936	C₂²×C₃	semidirect
663. #935	C₂²×C₃	semidirect
664. #935	C₂²×C₃	semidirect
665. #935	C₂²×C₃	semidirect
666. #935	C₂²×C₃	semidirect
667. #935	C₂²×C₃	semidirect
668. #935	C₂²×C₃	semidirect
669. #935	C₂²×C₃	semidirect
670. #935	C₂²×C₃	semidirect
671. #935	C₂²×C₃	semidirect
672. #935	C₂²×C₃	semidirect
673. #935	C₂²×C₃	semidirect
674. #935	C₂²×C₃	semidirect
675. #935	C₂²×C₃	semidirect
676. #935	C₂²×C₃	semidirect
677. #935	C₂²×C₃	semidirect
678. #935	C₂²×C₃	semidirect
679. D₄×Dic₃	C₂²×C₃	semidirect
680. D₄×Dic₃	C₂²×C₃	semidirect
681. D₄×Dic₃	C₂²×C₃	semidirect
682. D₄×Dic₃	C₂²×C₃	semidirect
683. D₄×Dic₃	C₂²×C₃	semidirect
684. D₄×Dic₃	C₂²×C₃	semidirect
685. #930	C₂²×C₃	semidirect
686. #929	C₂²×C₃	semidirect
687. #929	C₂²×C₃	semidirect
688. #929	C₂²×C₃	semidirect
689. #929	C₂²×C₃	semidirect
690. C₄×#67	C₂²×C₃	semidirect
691. C₄×#67	C₂²×C₃	semidirect
692. C₄×#67	C₂²×C₃	semidirect
693. C₄×#67	C₂²×C₃	semidirect
694. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
695. #924	C₂²×C₃	semidirect
696. #924	C₂²×C₃	semidirect
697. #924	C₂²×C₃	semidirect
698. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
699. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
700. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
701. #898	C₂²×C₃	semidirect
702. #896	C₂²×C₃	semidirect
703. #896	C₂²×C₃	semidirect
704. #896	C₂²×C₃	semidirect
705. #894	C₂²×C₃	semidirect
706. #889	C₂²×C₃	semidirect
707. #889	C₂²×C₃	semidirect
708. #889	C₂²×C₃	semidirect
709. #886	C₂²×C₃	semidirect
710. #886	C₂²×C₃	semidirect
711. #885	C₂²×C₃	semidirect
712. #885	C₂²×C₃	semidirect
713. #885	C₂²×C₃	semidirect
714. #884	C₂²×C₃	semidirect
715. #884	C₂²×C₃	semidirect
716. #884	C₂²×C₃	semidirect
717. #883	C₂²×C₃	semidirect
718. #883	C₂²×C₃	semidirect
719. #883	C₂²×C₃	semidirect
720. #883	C₂²×C₃	semidirect
721. #883	C₂²×C₃	semidirect
722. #67⋊C₄	C₂²×C₃	semidirect
723. #67⋊C₄	C₂²×C₃	semidirect
724. #67⋊C₄	C₂²×C₃	semidirect
725. #67⋊C₄	C₂²×C₃	semidirect
726. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
727. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
728. #879	C₂²×C₃	semidirect
729. #879	C₂²×C₃	semidirect
730. #879	C₂²×C₃	semidirect
731. #879	C₂²×C₃	semidirect
732. #879	C₂²×C₃	semidirect
733. #878	C₂²×C₃	semidirect
734. #878	C₂²×C₃	semidirect
735. #878	C₂²×C₃	semidirect
736. #878	C₂²×C₃	semidirect
737. #878	C₂²×C₃	semidirect
738. #878	C₂²×C₃	semidirect
739. #877	C₂²×C₃	semidirect
740. #877	C₂²×C₃	semidirect
741. #876	C₂²×C₃	semidirect
742. #876	C₂²×C₃	semidirect
743. #872	C₂²×C₃	semidirect
744. #870	C₂²×C₃	semidirect
872. D₄²	C₃×D₃	semidirect
1329. C₂²×D₄	C₂×C₃×D₃	semidirect
1330. C₂²×D₄	C₂×C₃×D₃	semidirect
1331. C₂²×D₄	C₂×C₃×D₃	semidirect
1334. #127	C₂×C₃×D₃	semidirect
1426. #121	C₂×C₃×D₃	semidirect
1427. #121	C₂×C₃×D₃	semidirect
1428. #121	C₂×C₃×D₃	semidirect
1442. #120	C₂×C₃×D₃	semidirect
1443. #120	C₂×C₃×D₃	semidirect
1444. #120	C₂×C₃×D₃	semidirect
1459. C₄×D₄	C₂×C₃×D₃	semidirect
1460. C₄×D₄	C₂×C₃×D₃	semidirect
2084. C₃²	#3534	semidirect
2297. C₃	#86613	direct (N × H)
2298. C₃	C₃×#3534	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃²×D₄²	2
C₃×#5806	2
C₃×#5804	2
C₂×C₃×#939	2
C₃×D₄×#67	2
C₂×C₃×#935	2
C₃×#5720	2
C₃×#5719	2
C₃×#5621	2
C₃×#5615	2
C₃×#5613	2
C₃×#5610	2
C₃×#5602	2
C₃×#5601	2
C₃×#5597	2
C₃×#5595	2
C₃×#5593	2
C₃×#5591	2
C₃×#5589	2
C₃×#5587	2
C₃×#5586	2
C₃×#5564	2
C₃×#5556	2
C₃×#5540	2
C₃×#3534	3
#86613	3

Subgroups — C3×#86613 #11910915

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86613 #11910915