Subgroups — C₃×#86412 #11918322

Order 1152.

2041 conjugacy classes of subgroups.

The subgroup lattice has 2025 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5712	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5702	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5682	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5679	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5671	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5669	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5662	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5658	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5651	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5649	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5646	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5641	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5617	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5613	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#5613	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5603	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5603	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5600	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5594	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5593	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#5593	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#5587	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#5561	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#5556	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#5542	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#5538	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#5495	C₂	1	1	yes	maximal, characteristic, complemented
32	C₃×#3568	—	3	1	no	maximal
33	#86412	C₃	1	1	yes	maximal, characteristic, direct product factor
34	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
35	C₃²×#126	C₂²	1	1	yes	characteristic, complemented
36	C₃²×#124	C₂²	1	1	yes	characteristic
37	C₃²×#124	C₂²	1	1	yes	characteristic, complemented
38	C₃²×#123	C₂²	1	1	yes	characteristic
39	C₃²×#123	C₂²	1	1	yes	characteristic, complemented
40	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₃²×#121	C₂²	1	1	yes	characteristic
42	C₃²×#121	C₂²	1	1	yes	characteristic
43	C₃²×#121	C₂²	1	1	yes	characteristic
44	C₃²×#120	C₂²	1	1	yes	characteristic
45	C₃²×#120	C₂²	1	1	yes	characteristic, complemented
46	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
49	C₃×#953	C₂²	1	1	yes	characteristic
50	C₃×#953	C₂²	1	1	yes	characteristic
51	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
53	C₃×#946	C₂²	1	1	yes	characteristic, complemented
54	C₃×#946	C₂²	1	1	yes	characteristic, complemented
55	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
56	C₃×#944	C₂²	1	1	yes	characteristic, complemented
57	C₃×#939	C₂²	1	1	yes	characteristic
58	C₃×#939	C₂²	1	1	yes	characteristic
59	C₃×#939	C₂²	1	1	yes	characteristic
60	C₃×#939	C₂²	1	1	yes	characteristic
61	C₃×#938	C₂²	1	1	yes	characteristic
62	C₃×#938	C₂²	1	1	yes	characteristic
63	C₃×#937	C₂²	1	1	yes	characteristic
64	C₃×#937	C₂²	1	1	yes	characteristic
65	C₃×#937	C₂²	1	1	yes	characteristic
66	C₃×#937	C₂²	1	1	yes	characteristic, complemented
67	C₃×#936	C₂²	1	1	yes	characteristic
68	C₃×#936	C₂²	1	1	yes	characteristic
69	C₃×#936	C₂²	1	1	yes	characteristic
70	C₃×#936	C₂²	1	1	yes	characteristic
71	C₃×#936	C₂²	1	1	yes	characteristic, complemented
72	C₃×#936	C₂²	1	1	yes	characteristic, complemented
73	C₃×#936	C₂²	1	1	yes	characteristic, complemented
74	C₃×#935	C₂²	1	1	yes	characteristic
75	C₃×#935	C₂²	1	1	yes	characteristic
76	C₃×#935	C₂²	1	1	yes	characteristic
77	C₃×#935	C₂²	1	1	yes	characteristic, complemented
78	C₃×#935	C₂²	1	1	yes	characteristic, complemented
79	C₃×#935	C₂²	1	1	yes	characteristic, complemented
80	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
81	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
82	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
83	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
84	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
85	C₃×#929	C₂²	1	1	yes	characteristic
86	C₃×#929	C₂²	1	1	yes	characteristic
87	C₃×#929	C₂²	1	1	yes	characteristic, complemented
88	C₃×C₄×#67	C₂²	1	1	yes	characteristic
89	C₃×C₄×#67	C₂²	1	1	yes	characteristic
90	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₃×#926	C₂²	1	1	yes	characteristic, complemented
93	C₃×#926	C₂²	1	1	yes	characteristic, complemented
94	C₃×#926	C₂²	1	1	yes	characteristic, complemented
95	C₃×#924	C₂²	1	1	yes	characteristic, complemented
96	C₃×#924	C₂²	1	1	yes	characteristic, complemented
97	C₃×#924	C₂²	1	1	yes	characteristic, complemented
98	C₃×#924	C₂²	1	1	yes	characteristic, complemented
99	C₃×#924	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
101	C₃×#898	C₂²	1	1	yes	characteristic, complemented
102	C₃×#898	C₂²	1	1	yes	characteristic, complemented
103	C₃×#898	C₂²	1	1	yes	characteristic, complemented
104	C₃×#898	C₂²	1	1	yes	characteristic, complemented
105	C₃×#898	C₂²	1	1	yes	characteristic, complemented
106	C₃×#898	C₂²	1	1	yes	characteristic, complemented
107	C₃×#898	C₂²	1	1	yes	characteristic, complemented
108	C₃×#897	C₂²	1	1	yes	characteristic, complemented
109	C₃×#896	C₂²	1	1	yes	characteristic, complemented
110	C₃×#896	C₂²	1	1	yes	characteristic, complemented
111	C₃×#896	C₂²	1	1	yes	characteristic, complemented
112	C₃×#892	C₂²	1	1	yes	characteristic, complemented
113	C₃×#890	C₂²	1	1	yes	characteristic, complemented
114	C₃×#889	C₂²	1	1	yes	characteristic, complemented
115	C₃×#889	C₂²	1	1	yes	characteristic, complemented
116	C₃×#888	C₂²	1	1	yes	characteristic, complemented
117	C₃×#888	C₂²	1	1	yes	characteristic, complemented
118	C₃×#888	C₂²	1	1	yes	characteristic, complemented
119	C₃×#888	C₂²	1	1	yes	characteristic, complemented
120	C₃×#887	C₂²	1	1	yes	characteristic, complemented
121	C₃×#887	C₂²	1	1	yes	characteristic, complemented
122	C₃×#887	C₂²	1	1	yes	characteristic, complemented
123	C₃×#887	C₂²	1	1	yes	characteristic, complemented
124	C₃×#887	C₂²	1	1	yes	characteristic, complemented
125	C₃×#886	C₂²	1	1	yes	characteristic
126	C₃×#886	C₂²	1	1	yes	characteristic
127	C₃×#886	C₂²	1	1	yes	characteristic, complemented
128	C₃×#885	C₂²	1	1	yes	characteristic
129	C₃×#885	C₂²	1	1	yes	characteristic
130	C₃×#885	C₂²	1	1	yes	characteristic
131	C₃×#885	C₂²	1	1	yes	characteristic
132	C₃×#885	C₂²	1	1	yes	characteristic
133	C₃×#885	C₂²	1	1	yes	characteristic
134	C₃×#885	C₂²	1	1	yes	characteristic
135	C₃×#885	C₂²	1	1	yes	characteristic
136	C₃×#885	C₂²	1	1	yes	characteristic
137	C₃×#885	C₂²	1	1	yes	characteristic
138	C₃×#885	C₂²	1	1	yes	characteristic, complemented
139	C₃×#885	C₂²	1	1	yes	characteristic, complemented
140	C₃×#883	C₂²	1	1	yes	characteristic
141	C₃×#883	C₂²	1	1	yes	characteristic
142	C₃×#883	C₂²	1	1	yes	characteristic
143	C₃×#883	C₂²	1	1	yes	characteristic
144	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
145	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
146	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
147	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
148	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₃×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₃×#879	C₂²	1	1	yes	characteristic, complemented
152	C₃×#879	C₂²	1	1	yes	characteristic, complemented
153	C₃×#879	C₂²	1	1	yes	characteristic, complemented
154	C₃×#879	C₂²	1	1	yes	characteristic, complemented
155	C₃×#879	C₂²	1	1	yes	characteristic, complemented
156	C₃×#879	C₂²	1	1	yes	characteristic, complemented
157	C₃×#879	C₂²	1	1	yes	characteristic, complemented
158	C₃×#879	C₂²	1	1	yes	characteristic, complemented
159	C₃×#879	C₂²	1	1	yes	characteristic, complemented
160	C₃×#879	C₂²	1	1	yes	characteristic, complemented
161	C₃×#879	C₂²	1	1	yes	characteristic, complemented
162	C₃×#879	C₂²	1	1	yes	characteristic, complemented
163	C₃×#879	C₂²	1	1	yes	characteristic, complemented
164	C₃×#879	C₂²	1	1	yes	characteristic, complemented
165	C₃×#879	C₂²	1	1	yes	characteristic, complemented
166	C₃×#879	C₂²	1	1	yes	characteristic, complemented
167	C₃×#878	C₂²	1	1	yes	characteristic, complemented
168	C₃×#878	C₂²	1	1	yes	characteristic, complemented
169	C₃×#878	C₂²	1	1	yes	characteristic, complemented
170	C₃×#878	C₂²	1	1	yes	characteristic, complemented
171	C₃×#878	C₂²	1	1	yes	characteristic, complemented
172	C₃×#878	C₂²	1	1	yes	characteristic, complemented
173	C₃×#878	C₂²	1	1	yes	characteristic, complemented
174	C₃×#878	C₂²	1	1	yes	characteristic, complemented
175	C₃×#878	C₂²	1	1	yes	characteristic, complemented
176	C₃×#877	C₂²	1	1	yes	characteristic, complemented
177	C₃×#877	C₂²	1	1	yes	characteristic, complemented
178	C₃×#877	C₂²	1	1	yes	characteristic, complemented
179	C₃×#877	C₂²	1	1	yes	characteristic, complemented
180	C₃×#877	C₂²	1	1	yes	characteristic, complemented
181	C₃×#876	C₂²	1	1	yes	characteristic, complemented
182	C₃×#872	C₂²	1	1	yes	characteristic, complemented
183	C₃×#872	C₂²	1	1	yes	characteristic, complemented
184	C₃×#872	C₂²	1	1	yes	characteristic, complemented
185	C₃×#869	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
188	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
189	C₃×#563	—	3	1	no	—
190	C₃×#563	—	3	1	no	—
191	C₃×#563	—	3	1	no	—
192	C₃×H(3,𝔽₄)	—	3	1	no	—
193	C₃×#556	—	3	1	no	—
194	C₃×#556	—	3	1	no	—
195	C₃×#556	—	3	1	no	—
196	C₃×#556	—	3	1	no	—
197	C₃×#556	—	3	1	no	—
198	C₃×#556	—	3	1	no	—
199	C₃×#551	—	3	1	no	—
200	C₃×#551	—	3	1	no	—
201	C₃×#551	—	3	1	no	—
202	C₃×#551	—	3	1	no	—
203	C₃×#551	—	3	1	no	—
204	C₃×#551	—	3	1	no	—
205	C₃×#542	—	3	1	no	—
206	C₃×#542	—	3	1	no	—
207	C₃×#542	—	3	1	no	—
208	C₃×#542	—	3	1	no	—
209	C₃×#542	—	3	1	no	—
210	C₃×#542	—	3	1	no	—
211	C₃×#538	—	2	1	no	—
212	C₃×#538	—	3	1	no	—
213	C₃×#538	—	3	1	no	—
214	C₃×#538	—	3	1	no	—
215	C₃×#538	—	3	1	no	—
216	C₃×#538	—	3	1	no	—
217	C₃×#538	D₃	1	1	yes	characteristic, complemented
218	C₃×#538	C₂×C₃	1	1	yes	characteristic, complemented
219	C₃×#529	—	3	1	no	—
220	C₃×#529	—	3	1	no	—
221	C₃×#529	—	3	1	no	—
222	#5712	C₂×C₃	1	1	yes	characteristic, complemented
223	#5702	C₂×C₃	1	1	yes	characteristic, complemented
224	#5702	C₂×C₃	1	1	yes	characteristic, complemented
225	#5702	C₂×C₃	1	1	yes	characteristic, complemented
226	#5682	C₂×C₃	1	1	yes	characteristic, complemented
227	#5679	C₂×C₃	1	1	yes	characteristic, complemented
228	#5671	C₂×C₃	1	1	yes	characteristic, complemented
229	#5669	C₂×C₃	1	1	yes	characteristic, complemented
230	#5662	C₂×C₃	1	1	yes	characteristic, complemented
231	#5658	C₂×C₃	1	1	yes	characteristic, complemented
232	#5651	C₂×C₃	1	1	yes	characteristic, complemented
233	#5649	C₂×C₃	1	1	yes	characteristic, complemented
234	#5646	C₂×C₃	1	1	yes	characteristic, complemented
235	#5641	C₂×C₃	1	1	yes	characteristic, complemented
236	#5617	C₂×C₃	1	1	yes	characteristic, complemented
237	#5613	C₂×C₃	1	1	yes	characteristic, complemented
238	#5613	C₂×C₃	1	1	yes	characteristic, complemented
239	#5603	C₂×C₃	1	1	yes	characteristic, complemented
240	#5603	C₂×C₃	1	1	yes	characteristic, complemented
241	#5600	C₂×C₃	1	1	yes	characteristic, complemented
242	#5594	C₂×C₃	1	1	yes	characteristic, complemented
243	#5593	C₂×C₃	1	1	yes	characteristic, complemented
244	#5593	C₂×C₃	1	1	yes	characteristic, complemented
245	#5587	C₂×C₃	1	1	yes	characteristic, complemented
246	#5561	C₂×C₃	1	1	yes	characteristic, complemented
247	#5556	C₂×C₃	1	1	yes	characteristic, complemented
248	#5542	C₂×C₃	1	1	yes	characteristic, complemented
249	#5538	C₂×C₃	1	1	yes	characteristic, complemented
250	#5495	C₂×C₃	1	1	yes	characteristic, complemented
251	#5495	C₂×C₃	1	1	yes	characteristic, complemented
252	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
253	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
254	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
255	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
256	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
258	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
259	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
262	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
263	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
264	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
265	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×#67	C₂³	1	1	yes	characteristic
267	C₂×C₃×#67	C₂³	1	1	yes	characteristic
268	C₂×C₃×#67	C₂³	1	1	yes	characteristic
269	C₂×C₃×#67	C₂³	1	1	yes	characteristic
270	C₂×C₃×#67	C₂³	1	1	yes	characteristic
271	C₂×C₃×#67	C₂³	1	1	yes	characteristic
272	C₂×C₃×#67	C₂³	1	1	yes	characteristic
273	C₂×C₃×#67	C₂³	1	1	yes	characteristic
274	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
275	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
276	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
277	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
278	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
279	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
280	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
281	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
282	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
283	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
284	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
285	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
286	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
287	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
288	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
289	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
290	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
291	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
292	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
293	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₃²×C₄²	C₂³	1	1	yes	characteristic
314	C₃²×C₄²	C₂³	1	1	yes	characteristic
315	C₃×#217	C₂³	1	1	yes	characteristic
316	C₃×#217	C₂³	1	1	yes	characteristic
317	C₃×#217	C₂³	1	1	yes	characteristic
318	C₃×#217	C₂³	1	1	yes	characteristic
319	C₃×#217	C₂³	1	1	yes	characteristic
320	C₃×#217	C₂³	1	1	yes	characteristic
321	C₃×#217	C₂³	1	1	yes	characteristic
322	C₃×#217	C₂³	1	1	yes	characteristic
323	C₃×#217	C₂³	1	1	yes	characteristic
324	C₃×#217	C₂³	1	1	yes	characteristic
325	C₃×#217	C₂³	1	1	yes	characteristic
326	C₃×#217	C₂³	1	1	yes	characteristic
327	C₃×#217	C₂³	1	1	yes	characteristic
328	C₃×#217	C₂³	1	1	yes	characteristic
329	C₃×#217	C₂³	1	1	yes	characteristic
330	C₃×#217	C₂³	1	1	yes	characteristic
331	C₃×#217	C₂³	1	1	yes	characteristic
332	C₃×#217	C₂³	1	1	yes	characteristic
333	C₃×#217	C₂³	1	1	yes	characteristic
334	C₃×#217	C₂³	1	1	yes	characteristic
335	C₃×#217	C₂³	1	1	yes	characteristic
336	C₃×#217	C₂³	1	1	yes	characteristic
337	C₃×#217	C₂³	1	1	yes	characteristic
338	C₃×#217	C₂³	1	1	yes	characteristic
339	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
340	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
341	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
342	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
343	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
344	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
345	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
346	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
347	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
348	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
349	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
350	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
351	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
352	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
353	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
354	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
355	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
356	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
357	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
358	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
359	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
360	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
361	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
362	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
363	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
364	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
365	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
366	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
367	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
368	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
369	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
370	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
371	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
372	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
373	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
374	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
375	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
376	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
377	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
378	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
379	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
380	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
381	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
382	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
383	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
384	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
385	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
386	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
387	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
388	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
389	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
390	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
391	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
392	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
393	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
394	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
395	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
396	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
397	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
398	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
399	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
400	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
401	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
402	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
403	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
404	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
405	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
406	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
407	#3568	—	3	1	no	Sylow
408	C₃×C₄⋊Q₈	—	3	1	no	—
409	C₃×C₄⋊Q₈	—	3	1	no	—
410	C₃×C₄⋊Q₈	—	3	1	no	—
411	C₃×C₄⋊Q₈	—	3	1	no	—
412	C₃×C₄⋊Q₈	—	3	1	no	—
413	C₃×C₄⋊Q₈	—	3	1	no	—
414	C₃×#126	—	2	1	no	—
415	C₃×#126	—	2	1	no	—
416	C₃×#126	—	3	1	no	—
417	C₃×#126	—	3	1	no	—
418	C₃×#126	—	3	1	no	—
419	C₃×#126	—	3	1	no	—
420	C₃×#126	—	3	1	no	—
421	C₃×#126	—	3	1	no	—
422	C₃×#126	—	3	1	no	—
423	C₃×#126	—	3	1	no	—
424	C₃×#126	—	3	1	no	—
425	C₃×#126	—	3	1	no	—
426	C₃×#126	—	3	1	no	—
427	C₃×#126	—	3	1	no	—
428	C₃×#126	—	3	1	no	—
429	C₃×#126	—	3	1	no	—
430	C₃×#126	—	3	1	no	—
431	C₃×#126	—	3	1	no	—
432	C₃×#126	—	3	1	no	—
433	C₃×#126	—	3	1	no	—
434	C₃×#126	—	3	1	no	—
435	C₃×#126	—	3	1	no	—
436	C₃×#126	—	3	1	no	—
437	C₃×#126	—	3	1	no	—
438	C₃×#126	—	3	1	no	—
439	C₃×#126	—	3	1	no	—
440	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
441	C₃×#126	C₂×D₃	1	1	yes	characteristic, complemented
442	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
443	C₃×#126	C₂²×C₃	1	1	yes	characteristic, complemented
444	C₃×#125	—	3	1	no	—
445	C₃×#125	—	3	1	no	—
446	C₃×#125	—	3	1	no	—
447	C₃×#124	—	2	1	no	—
448	C₃×#124	—	2	1	no	—
449	C₃×#124	—	3	1	no	—
450	C₃×#124	—	3	1	no	—
451	C₃×#124	—	3	1	no	—
452	C₃×#124	—	3	1	no	—
453	C₃×#124	—	3	1	no	—
454	C₃×#124	—	3	1	no	—
455	C₃×#124	—	3	1	no	—
456	C₃×#124	—	3	1	no	—
457	C₃×#124	—	3	1	no	—
458	C₃×#124	—	3	1	no	—
459	C₃×#124	—	3	1	no	—
460	C₃×#124	—	3	1	no	—
461	C₃×#124	—	3	1	no	—
462	C₃×#124	—	3	1	no	—
463	C₃×#124	—	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	C₂×D₃	1	1	yes	characteristic
469	C₃×#124	C₂×D₃	1	1	yes	characteristic, complemented
470	C₃×#124	C₂²×C₃	1	1	yes	characteristic
471	C₃×#124	C₂²×C₃	1	1	yes	characteristic, complemented
472	C₃×#123	—	2	1	no	—
473	C₃×#123	—	2	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	C₂×D₃	1	1	yes	characteristic
491	C₃×#123	C₂×D₃	1	1	yes	characteristic, complemented
492	C₃×#123	C₂²×C₃	1	1	yes	characteristic
493	C₃×#123	C₂²×C₃	1	1	yes	characteristic, complemented
494	C₃×C₂²⋊Q₈	—	2	1	no	—
495	C₃×C₂²⋊Q₈	—	3	1	no	—
496	C₃×C₂²⋊Q₈	—	3	1	no	—
497	C₃×C₂²⋊Q₈	—	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×C₂²⋊Q₈	—	3	1	no	—
511	C₃×C₂²⋊Q₈	—	3	1	no	—
512	C₃×C₂²⋊Q₈	—	3	1	no	—
513	C₃×C₂²⋊Q₈	—	3	1	no	—
514	C₃×C₂²⋊Q₈	—	3	1	no	—
515	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
516	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
517	C₃×#121	—	2	1	no	—
518	C₃×#121	—	2	1	no	—
519	C₃×#121	—	2	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	C₂×D₃	1	1	yes	characteristic
527	C₃×#121	C₂×D₃	1	1	yes	characteristic
528	C₃×#121	C₂×D₃	1	1	yes	characteristic
529	C₃×#121	C₂²×C₃	1	1	yes	characteristic
530	C₃×#121	C₂²×C₃	1	1	yes	characteristic
531	C₃×#121	C₂²×C₃	1	1	yes	characteristic
532	C₃×#120	—	2	1	no	—
533	C₃×#120	—	2	1	no	—
534	C₃×#120	—	3	1	no	—
535	C₃×#120	—	3	1	no	—
536	C₃×#120	—	3	1	no	—
537	C₃×#120	—	3	1	no	—
538	C₃×#120	—	3	1	no	—
539	C₃×#120	—	3	1	no	—
540	C₃×#120	C₂×D₃	1	1	yes	characteristic
541	C₃×#120	C₂×D₃	1	1	yes	characteristic, complemented
542	C₃×#120	C₂²×C₃	1	1	yes	characteristic
543	C₃×#120	C₂²×C₃	1	1	yes	characteristic, complemented
544	C₃×C₄×Q₈	—	3	1	no	—
545	C₃×C₄×Q₈	—	3	1	no	—
546	C₃×C₄×Q₈	—	3	1	no	—
547	C₃×C₄×Q₈	—	3	1	no	—
548	C₃×C₄×Q₈	—	3	1	no	—
549	C₃×C₄×Q₈	—	3	1	no	—
550	C₃×C₄×Q₈	—	3	1	no	—
551	C₃×C₄×Q₈	—	3	1	no	—
552	C₃×C₄×Q₈	—	3	1	no	—
553	C₃×C₄×D₄	—	2	1	no	—
554	C₃×C₄×D₄	—	2	1	no	—
555	C₃×C₄×D₄	—	3	1	no	—
556	C₃×C₄×D₄	—	3	1	no	—
557	C₃×C₄×D₄	—	3	1	no	—
558	C₃×C₄×D₄	—	3	1	no	—
559	C₃×C₄×D₄	—	3	1	no	—
560	C₃×C₄×D₄	—	3	1	no	—
561	C₃×C₄×D₄	—	3	1	no	—
562	C₃×C₄×D₄	—	3	1	no	—
563	C₃×C₄×D₄	—	3	1	no	—
564	C₃×C₄×D₄	—	3	1	no	—
565	C₃×C₄×D₄	—	3	1	no	—
566	C₃×C₄×D₄	—	3	1	no	—
567	C₃×C₄×D₄	—	3	1	no	—
568	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
569	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
570	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
571	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
572	C₃×#117	—	3	1	no	—
573	C₃×#117	—	3	1	no	—
574	C₃×#117	—	3	1	no	—
575	C₃×#117	—	3	1	no	—
576	C₃×#117	—	3	1	no	—
577	C₃×#117	—	3	1	no	—
578	C₃×#117	—	3	1	no	—
579	C₃×#117	—	3	1	no	—
580	C₃×#117	—	3	1	no	—
581	C₃×#117	—	3	1	no	—
582	C₃×#117	—	3	1	no	—
583	C₃×#117	—	3	1	no	—
584	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
585	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
586	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
587	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
588	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
589	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
590	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
591	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
592	C₂×C₃×C₄²	—	3	1	no	—
593	#953	C₂²×C₃	1	1	yes	characteristic
594	#953	C₂²×C₃	1	1	yes	characteristic
595	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
596	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
597	#946	C₂²×C₃	1	1	yes	characteristic, complemented
598	#946	C₂²×C₃	1	1	yes	characteristic, complemented
599	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
600	#944	C₂²×C₃	1	1	yes	characteristic, complemented
601	#939	C₂²×C₃	1	1	yes	characteristic
602	#939	C₂²×C₃	1	1	yes	characteristic
603	#939	C₂²×C₃	1	1	yes	characteristic
604	#939	C₂²×C₃	1	1	yes	characteristic
605	#938	C₂²×C₃	1	1	yes	characteristic
606	#938	C₂²×C₃	1	1	yes	characteristic
607	#937	C₂²×C₃	1	1	yes	characteristic
608	#937	C₂²×C₃	1	1	yes	characteristic
609	#937	C₂²×C₃	1	1	yes	characteristic
610	#937	C₂²×C₃	1	1	yes	characteristic, complemented
611	#936	C₂²×C₃	1	1	yes	characteristic
612	#936	C₂²×C₃	1	1	yes	characteristic
613	#936	C₂²×C₃	1	1	yes	characteristic
614	#936	C₂²×C₃	1	1	yes	characteristic
615	#936	C₂²×C₃	1	1	yes	characteristic, complemented
616	#936	C₂²×C₃	1	1	yes	characteristic, complemented
617	#936	C₂²×C₃	1	1	yes	characteristic, complemented
618	#935	C₂²×C₃	1	1	yes	characteristic
619	#935	C₂²×C₃	1	1	yes	characteristic
620	#935	C₂²×C₃	1	1	yes	characteristic
621	#935	C₂²×C₃	1	1	yes	characteristic, complemented
622	#935	C₂²×C₃	1	1	yes	characteristic, complemented
623	#935	C₂²×C₃	1	1	yes	characteristic, complemented
624	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
625	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
626	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
627	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
628	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
629	#929	C₂²×C₃	1	1	yes	characteristic
630	#929	C₂²×C₃	1	1	yes	characteristic
631	#929	C₂²×C₃	1	1	yes	characteristic, complemented
632	C₄×#67	C₂²×C₃	1	1	yes	characteristic
633	C₄×#67	C₂²×C₃	1	1	yes	characteristic
634	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
635	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
636	#926	C₂²×C₃	1	1	yes	characteristic, complemented
637	#926	C₂²×C₃	1	1	yes	characteristic, complemented
638	#926	C₂²×C₃	1	1	yes	characteristic, complemented
639	#924	C₂²×C₃	1	1	yes	characteristic, complemented
640	#924	C₂²×C₃	1	1	yes	characteristic, complemented
641	#924	C₂²×C₃	1	1	yes	characteristic, complemented
642	#924	C₂²×C₃	1	1	yes	characteristic, complemented
643	#924	C₂²×C₃	1	1	yes	characteristic, complemented
644	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
645	#898	C₂²×C₃	1	1	yes	characteristic, complemented
646	#898	C₂²×C₃	1	1	yes	characteristic, complemented
647	#898	C₂²×C₃	1	1	yes	characteristic, complemented
648	#898	C₂²×C₃	1	1	yes	characteristic, complemented
649	#898	C₂²×C₃	1	1	yes	characteristic, complemented
650	#898	C₂²×C₃	1	1	yes	characteristic, complemented
651	#898	C₂²×C₃	1	1	yes	characteristic, complemented
652	#897	C₂²×C₃	1	1	yes	characteristic, complemented
653	#896	C₂²×C₃	1	1	yes	characteristic, complemented
654	#896	C₂²×C₃	1	1	yes	characteristic, complemented
655	#896	C₂²×C₃	1	1	yes	characteristic, complemented
656	#892	C₂²×C₃	1	1	yes	characteristic, complemented
657	#890	C₂²×C₃	1	1	yes	characteristic, complemented
658	#889	C₂²×C₃	1	1	yes	characteristic, complemented
659	#889	C₂²×C₃	1	1	yes	characteristic, complemented
660	#888	C₂²×C₃	1	1	yes	characteristic, complemented
661	#888	C₂²×C₃	1	1	yes	characteristic, complemented
662	#888	C₂²×C₃	1	1	yes	characteristic, complemented
663	#888	C₂²×C₃	1	1	yes	characteristic, complemented
664	#887	C₂²×C₃	1	1	yes	characteristic, complemented
665	#887	C₂²×C₃	1	1	yes	characteristic, complemented
666	#887	C₂²×C₃	1	1	yes	characteristic, complemented
667	#887	C₂²×C₃	1	1	yes	characteristic, complemented
668	#887	C₂²×C₃	1	1	yes	characteristic, complemented
669	#886	C₂²×C₃	1	1	yes	characteristic
670	#886	C₂²×C₃	1	1	yes	characteristic
671	#886	C₂²×C₃	1	1	yes	characteristic, complemented
672	#885	C₂²×C₃	1	1	yes	characteristic
673	#885	C₂²×C₃	1	1	yes	characteristic
674	#885	C₂²×C₃	1	1	yes	characteristic
675	#885	C₂²×C₃	1	1	yes	characteristic
676	#885	C₂²×C₃	1	1	yes	characteristic
677	#885	C₂²×C₃	1	1	yes	characteristic
678	#885	C₂²×C₃	1	1	yes	characteristic
679	#885	C₂²×C₃	1	1	yes	characteristic
680	#885	C₂²×C₃	1	1	yes	characteristic
681	#885	C₂²×C₃	1	1	yes	characteristic
682	#885	C₂²×C₃	1	1	yes	characteristic, complemented
683	#885	C₂²×C₃	1	1	yes	characteristic, complemented
684	#883	C₂²×C₃	1	1	yes	characteristic
685	#883	C₂²×C₃	1	1	yes	characteristic
686	#883	C₂²×C₃	1	1	yes	characteristic
687	#883	C₂²×C₃	1	1	yes	characteristic
688	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
689	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
690	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
691	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
692	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
693	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
694	D₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
695	#879	C₂²×C₃	1	1	yes	characteristic, complemented
696	#879	C₂²×C₃	1	1	yes	characteristic, complemented
697	#879	C₂²×C₃	1	1	yes	characteristic, complemented
698	#879	C₂²×C₃	1	1	yes	characteristic, complemented
699	#879	C₂²×C₃	1	1	yes	characteristic, complemented
700	#879	C₂²×C₃	1	1	yes	characteristic, complemented
701	#879	C₂²×C₃	1	1	yes	characteristic, complemented
702	#879	C₂²×C₃	1	1	yes	characteristic, complemented
703	#879	C₂²×C₃	1	1	yes	characteristic, complemented
704	#879	C₂²×C₃	1	1	yes	characteristic, complemented
705	#879	C₂²×C₃	1	1	yes	characteristic, complemented
706	#879	C₂²×C₃	1	1	yes	characteristic, complemented
707	#879	C₂²×C₃	1	1	yes	characteristic, complemented
708	#879	C₂²×C₃	1	1	yes	characteristic, complemented
709	#879	C₂²×C₃	1	1	yes	characteristic, complemented
710	#879	C₂²×C₃	1	1	yes	characteristic, complemented
711	#878	C₂²×C₃	1	1	yes	characteristic, complemented
712	#878	C₂²×C₃	1	1	yes	characteristic, complemented
713	#878	C₂²×C₃	1	1	yes	characteristic, complemented
714	#878	C₂²×C₃	1	1	yes	characteristic, complemented
715	#878	C₂²×C₃	1	1	yes	characteristic, complemented
716	#878	C₂²×C₃	1	1	yes	characteristic, complemented
717	#878	C₂²×C₃	1	1	yes	characteristic, complemented
718	#878	C₂²×C₃	1	1	yes	characteristic, complemented
719	#878	C₂²×C₃	1	1	yes	characteristic, complemented
720	#877	C₂²×C₃	1	1	yes	characteristic, complemented
721	#877	C₂²×C₃	1	1	yes	characteristic, complemented
722	#877	C₂²×C₃	1	1	yes	characteristic, complemented
723	#877	C₂²×C₃	1	1	yes	characteristic, complemented
724	#877	C₂²×C₃	1	1	yes	characteristic, complemented
725	#876	C₂²×C₃	1	1	yes	characteristic, complemented
726	#872	C₂²×C₃	1	1	yes	characteristic, complemented
727	#872	C₂²×C₃	1	1	yes	characteristic, complemented
728	#872	C₂²×C₃	1	1	yes	characteristic, complemented
729	#869	C₂²×C₃	1	1	yes	characteristic, complemented
730	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
731	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
732	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
733	C₂³×C₃²	—	4	1	no	—
734	C₂³×C₃²	—	4	1	no	—
735	C₂³×C₃²	—	4	1	no	—
736	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
737	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
738	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
739	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
740	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
741	C₂²×C₃×D₃	—	4	1	no	—
742	C₂²×C₃×D₃	—	4	1	no	—
743	C₂²×C₃×D₃	—	4	1	no	—
744	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
745	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
746	C₃²×Q₈	—	4	1	no	—
747	C₃²×D₄	—	4	1	no	—
748	C₃²×D₄	—	4	1	no	—
749	C₃²×D₄	—	4	1	no	—
750	C₃²×D₄	—	4	1	no	—
751	C₃²×D₄	—	4	1	no	—
752	C₃²×D₄	—	4	1	no	—
753	C₃²×D₄	—	4	1	no	—
754	C₂×C₃²×C₄	—	4	1	no	—
755	C₂×C₃²×C₄	—	4	1	no	—
756	C₂×C₃²×C₄	—	4	1	no	—
757	C₂×C₃²×C₄	—	4	1	no	—
758	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
759	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
760	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
761	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
762	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
763	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
764	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
765	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
766	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
767	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
768	C₃×#67	—	4	1	no	—
769	C₃×#67	—	4	1	no	—
770	C₃×#67	—	4	1	no	—
771	C₃×#67	—	4	1	no	—
772	C₃×#67	—	4	1	no	—
773	C₃×#67	—	4	1	no	—
774	C₃×#67	—	4	1	no	—
775	C₃×#67	—	4	1	no	—
776	C₂×C₃×Dic₃	—	4	1	no	—
777	C₂×C₃×Dic₃	—	4	1	no	—
778	C₂×C₃×Dic₃	—	4	1	no	—
779	C₂×C₃×Dic₃	—	4	1	no	—
780	C₂×C₃×Dic₃	—	4	1	no	—
781	C₂×C₃×Dic₃	—	4	1	no	—
782	C₂×C₃×Dic₃	—	4	1	no	—
783	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
784	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
785	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
786	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
787	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
788	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
789	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
790	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
791	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
792	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
793	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
794	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
795	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
796	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
797	C₃×C₄×D₃	—	4	1	no	—
798	C₃×C₄×D₃	—	4	1	no	—
799	C₃×C₄×D₃	—	4	1	no	—
800	C₃×C₄×D₃	—	4	1	no	—
801	C₃×Dic₆	—	4	1	no	—
802	C₃×Dic₆	—	4	1	no	—
803	C₃×Dic₆	—	4	1	no	—
804	C₃×Dic₆	—	4	1	no	—
805	C₃×Dic₆	—	4	1	no	—
806	C₃×Dic₆	—	4	1	no	—
807	C₃×Dic₆	—	4	1	no	—
808	C₃×Dic₆	—	4	1	no	—
809	#563	—	3	1	no	—
810	#563	—	3	1	no	—
811	#563	—	3	1	no	—
812	H(3,𝔽₄)	—	3	1	no	—
813	#556	—	3	1	no	—
814	#556	—	3	1	no	—
815	#556	—	3	1	no	—
816	#556	—	3	1	no	—
817	#556	—	3	1	no	—
818	#556	—	3	1	no	—
819	#551	—	3	1	no	—
820	#551	—	3	1	no	—
821	#551	—	3	1	no	—
822	#551	—	3	1	no	—
823	#551	—	3	1	no	—
824	#551	—	3	1	no	—
825	#542	—	3	1	no	—
826	#542	—	3	1	no	—
827	#542	—	3	1	no	—
828	#542	—	3	1	no	—
829	#542	—	3	1	no	—
830	#542	—	3	1	no	—
831	#538	—	3	1	no	—
832	#538	—	3	1	no	—
833	#538	—	3	1	no	—
834	#538	—	3	1	no	—
835	#538	—	3	1	no	—
836	#538	C₃×D₃	1	1	yes	characteristic, complemented
837	#529	—	3	1	no	—
838	#529	—	3	1	no	—
839	#529	—	3	1	no	—
840	C₂⁴×C₃	—	2	1	no	—
841	C₂⁴×C₃	—	3	1	no	—
842	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
843	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
844	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
845	C₂×C₃×Q₈	—	2	1	no	—
846	C₂×C₃×Q₈	—	3	1	no	—
847	C₂×C₃×Q₈	—	3	1	no	—
848	C₂×C₃×Q₈	—	3	1	no	—
849	C₂×C₃×Q₈	—	3	1	no	—
850	C₂×C₃×Q₈	—	3	1	no	—
851	C₂×C₃×Q₈	—	3	1	no	—
852	C₂×C₃×Q₈	—	3	1	no	—
853	C₂×C₃×Q₈	—	3	1	no	—
854	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
855	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₃×D₄	—	2	1	no	—
857	C₂×C₃×D₄	—	2	1	no	—
858	C₂×C₃×D₄	—	2	1	no	—
859	C₂×C₃×D₄	—	2	1	no	—
860	C₂×C₃×D₄	—	2	1	no	—
861	C₂×C₃×D₄	—	2	1	no	—
862	C₂×C₃×D₄	—	2	1	no	—
863	C₂×C₃×D₄	—	3	1	no	—
864	C₂×C₃×D₄	—	3	1	no	—
865	C₂×C₃×D₄	—	3	1	no	—
866	C₂×C₃×D₄	—	3	1	no	—
867	C₂×C₃×D₄	—	3	1	no	—
868	C₂×C₃×D₄	—	3	1	no	—
869	C₂×C₃×D₄	—	3	1	no	—
870	C₂×C₃×D₄	—	3	1	no	—
871	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
872	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
873	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
874	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
875	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
876	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
877	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
878	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
879	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
880	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
881	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
882	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
883	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
884	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
885	C₂²×C₃×C₄	—	2	1	no	—
886	C₂²×C₃×C₄	—	2	1	no	—
887	C₂²×C₃×C₄	—	2	1	no	—
888	C₂²×C₃×C₄	—	2	1	no	—
889	C₂²×C₃×C₄	—	3	1	no	—
890	C₂²×C₃×C₄	—	3	1	no	—
891	C₂²×C₃×C₄	—	3	1	no	—
892	C₂²×C₃×C₄	—	3	1	no	—
893	C₂²×C₃×C₄	—	3	1	no	—
894	C₂²×C₃×C₄	—	3	1	no	—
895	C₂²×C₃×C₄	—	3	1	no	—
896	C₂²×C₃×C₄	—	3	1	no	—
897	C₂²×C₃×C₄	—	3	1	no	—
898	C₂²×C₃×C₄	—	3	1	no	—
899	C₂²×C₃×C₄	—	3	1	no	—
900	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
901	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
902	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
903	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
904	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
905	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
906	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
907	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
908	C₂×#67	C₂³×C₃	1	1	yes	characteristic
909	C₂×#67	C₂³×C₃	1	1	yes	characteristic
910	C₂×#67	C₂³×C₃	1	1	yes	characteristic
911	C₂×#67	C₂³×C₃	1	1	yes	characteristic
912	C₂×#67	C₂³×C₃	1	1	yes	characteristic
913	C₂×#67	C₂³×C₃	1	1	yes	characteristic
914	C₂×#67	C₂³×C₃	1	1	yes	characteristic
915	C₂×#67	C₂³×C₃	1	1	yes	characteristic
916	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
917	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
918	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
919	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
920	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
921	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
922	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
923	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
924	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
925	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
926	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
927	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
928	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
929	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
930	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
931	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
932	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
933	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
934	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
935	C₃×C₄⋊C₄	—	2	1	no	—
936	C₃×C₄⋊C₄	—	2	1	no	—
937	C₃×C₄⋊C₄	—	2	1	no	—
938	C₃×C₄⋊C₄	—	2	1	no	—
939	C₃×C₄⋊C₄	—	2	1	no	—
940	C₃×C₄⋊C₄	—	2	1	no	—
941	C₃×C₄⋊C₄	—	3	1	no	—
942	C₃×C₄⋊C₄	—	3	1	no	—
943	C₃×C₄⋊C₄	—	3	1	no	—
944	C₃×C₄⋊C₄	—	3	1	no	—
945	C₃×C₄⋊C₄	—	3	1	no	—
946	C₃×C₄⋊C₄	—	3	1	no	—
947	C₃×C₄⋊C₄	—	3	1	no	—
948	C₃×C₄⋊C₄	—	3	1	no	—
949	C₃×C₄⋊C₄	—	3	1	no	—
950	C₃×C₄⋊C₄	—	3	1	no	—
951	C₃×C₄⋊C₄	—	3	1	no	—
952	C₃×C₄⋊C₄	—	3	1	no	—
953	C₃×C₄⋊C₄	—	3	1	no	—
954	C₃×C₄⋊C₄	—	3	1	no	—
955	C₃×C₄⋊C₄	—	3	1	no	—
956	C₃×C₄⋊C₄	—	3	1	no	—
957	C₃×C₄⋊C₄	—	3	1	no	—
958	C₃×C₄⋊C₄	—	3	1	no	—
959	C₃×C₄⋊C₄	—	3	1	no	—
960	C₃×C₄⋊C₄	—	3	1	no	—
961	C₃×C₄⋊C₄	—	3	1	no	—
962	C₃×C₄⋊C₄	—	3	1	no	—
963	C₃×C₄⋊C₄	—	3	1	no	—
964	C₃×C₄⋊C₄	—	3	1	no	—
965	C₃×C₄⋊C₄	—	3	1	no	—
966	C₃×C₄⋊C₄	—	3	1	no	—
967	C₃×C₄⋊C₄	—	3	1	no	—
968	C₃×C₄⋊C₄	—	3	1	no	—
969	C₃×C₄⋊C₄	—	3	1	no	—
970	C₃×C₄⋊C₄	—	3	1	no	—
971	C₃×C₄⋊C₄	—	3	1	no	—
972	C₃×C₄⋊C₄	—	3	1	no	—
973	C₃×C₄⋊C₄	—	3	1	no	—
974	C₃×C₄⋊C₄	—	3	1	no	—
975	C₃×C₄⋊C₄	—	3	1	no	—
976	C₃×C₄⋊C₄	—	3	1	no	—
977	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
978	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
979	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
980	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
981	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
982	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
983	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
984	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
985	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
986	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
987	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
988	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
989	C₃×C₂²⋊C₄	—	2	1	no	—
990	C₃×C₂²⋊C₄	—	2	1	no	—
991	C₃×C₂²⋊C₄	—	2	1	no	—
992	C₃×C₂²⋊C₄	—	2	1	no	—
993	C₃×C₂²⋊C₄	—	2	1	no	—
994	C₃×C₂²⋊C₄	—	2	1	no	—
995	C₃×C₂²⋊C₄	—	2	1	no	—
996	C₃×C₂²⋊C₄	—	2	1	no	—
997	C₃×C₂²⋊C₄	—	2	1	no	—
998	C₃×C₂²⋊C₄	—	2	1	no	—
999	C₃×C₂²⋊C₄	—	2	1	no	—
1000	C₃×C₂²⋊C₄	—	2	1	no	—
1001	C₃×C₂²⋊C₄	—	2	1	no	—
1002	C₃×C₂²⋊C₄	—	2	1	no	—
1003	C₃×C₂²⋊C₄	—	3	1	no	—
1004	C₃×C₂²⋊C₄	—	3	1	no	—
1005	C₃×C₂²⋊C₄	—	3	1	no	—
1006	C₃×C₂²⋊C₄	—	3	1	no	—
1007	C₃×C₂²⋊C₄	—	3	1	no	—
1008	C₃×C₂²⋊C₄	—	3	1	no	—
1009	C₃×C₂²⋊C₄	—	3	1	no	—
1010	C₃×C₂²⋊C₄	—	3	1	no	—
1011	C₃×C₂²⋊C₄	—	3	1	no	—
1012	C₃×C₂²⋊C₄	—	3	1	no	—
1013	C₃×C₂²⋊C₄	—	3	1	no	—
1014	C₃×C₂²⋊C₄	—	3	1	no	—
1015	C₃×C₂²⋊C₄	—	3	1	no	—
1016	C₃×C₂²⋊C₄	—	3	1	no	—
1017	C₃×C₂²⋊C₄	—	3	1	no	—
1018	C₃×C₂²⋊C₄	—	3	1	no	—
1019	C₃×C₂²⋊C₄	—	3	1	no	—
1020	C₃×C₂²⋊C₄	—	3	1	no	—
1021	C₃×C₂²⋊C₄	—	3	1	no	—
1022	C₃×C₂²⋊C₄	—	3	1	no	—
1023	C₃×C₂²⋊C₄	—	3	1	no	—
1024	C₃×C₂²⋊C₄	—	3	1	no	—
1025	C₃×C₂²⋊C₄	—	3	1	no	—
1026	C₃×C₂²⋊C₄	—	3	1	no	—
1027	C₃×C₂²⋊C₄	—	3	1	no	—
1028	C₃×C₂²⋊C₄	—	3	1	no	—
1029	C₃×C₂²⋊C₄	—	3	1	no	—
1030	C₃×C₂²⋊C₄	—	3	1	no	—
1031	C₃×C₂²⋊C₄	—	3	1	no	—
1032	C₃×C₂²⋊C₄	—	3	1	no	—
1033	C₃×C₂²⋊C₄	—	3	1	no	—
1034	C₃×C₂²⋊C₄	—	3	1	no	—
1035	C₃×C₂²⋊C₄	—	3	1	no	—
1036	C₃×C₂²⋊C₄	—	3	1	no	—
1037	C₃×C₂²⋊C₄	—	3	1	no	—
1038	C₃×C₂²⋊C₄	—	3	1	no	—
1039	C₃×C₂²⋊C₄	—	3	1	no	—
1040	C₃×C₂²⋊C₄	—	3	1	no	—
1041	C₃×C₂²⋊C₄	—	3	1	no	—
1042	C₃×C₂²⋊C₄	—	3	1	no	—
1043	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1044	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1045	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1046	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1047	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1048	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1049	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1050	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1051	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1052	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1053	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1054	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1055	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1056	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
1057	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1058	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1059	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1060	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1061	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1062	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1063	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1064	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1065	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1066	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1067	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1068	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1069	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1070	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
1071	C₃×C₄²	—	2	1	no	—
1072	C₃×C₄²	—	2	1	no	—
1073	C₃×C₄²	—	3	1	no	—
1074	C₃×C₄²	—	3	1	no	—
1075	C₃×C₄²	—	3	1	no	—
1076	C₃×C₄²	—	3	1	no	—
1077	C₃×C₄²	—	3	1	no	—
1078	C₃×C₄²	—	3	1	no	—
1079	C₃×C₄²	—	3	1	no	—
1080	C₃×C₄²	—	3	1	no	—
1081	C₃×C₄²	—	3	1	no	—
1082	C₃×C₄²	—	3	1	no	—
1083	C₃×C₄²	—	3	1	no	—
1084	C₃×C₄²	—	3	1	no	—
1085	C₃×C₄²	—	3	1	no	—
1086	C₃×C₄²	—	3	1	no	—
1087	C₃×C₄²	—	3	1	no	—
1088	C₃×C₄²	—	3	1	no	—
1089	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1090	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
1091	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1092	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
1093	#217	C₂³×C₃	1	1	yes	characteristic
1094	#217	C₂³×C₃	1	1	yes	characteristic
1095	#217	C₂³×C₃	1	1	yes	characteristic
1096	#217	C₂³×C₃	1	1	yes	characteristic
1097	#217	C₂³×C₃	1	1	yes	characteristic
1098	#217	C₂³×C₃	1	1	yes	characteristic
1099	#217	C₂³×C₃	1	1	yes	characteristic
1100	#217	C₂³×C₃	1	1	yes	characteristic
1101	#217	C₂³×C₃	1	1	yes	characteristic
1102	#217	C₂³×C₃	1	1	yes	characteristic
1103	#217	C₂³×C₃	1	1	yes	characteristic
1104	#217	C₂³×C₃	1	1	yes	characteristic
1105	#217	C₂³×C₃	1	1	yes	characteristic
1106	#217	C₂³×C₃	1	1	yes	characteristic
1107	#217	C₂³×C₃	1	1	yes	characteristic
1108	#217	C₂³×C₃	1	1	yes	characteristic
1109	#217	C₂³×C₃	1	1	yes	characteristic
1110	#217	C₂³×C₃	1	1	yes	characteristic
1111	#217	C₂³×C₃	1	1	yes	characteristic
1112	#217	C₂³×C₃	1	1	yes	characteristic
1113	#217	C₂³×C₃	1	1	yes	characteristic
1114	#217	C₂³×C₃	1	1	yes	characteristic
1115	#217	C₂³×C₃	1	1	yes	characteristic
1116	#217	C₂³×C₃	1	1	yes	characteristic
1117	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1118	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1119	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1120	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1121	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1122	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1123	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1124	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1125	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1126	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1127	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1128	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1129	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1130	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1131	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1132	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
1133	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1134	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1135	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1136	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1137	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1138	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1139	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1140	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1141	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1142	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1143	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1144	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
1145	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1146	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1147	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1148	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1149	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1150	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1151	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1152	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1153	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1154	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1155	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1156	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1157	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1158	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1159	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1160	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1161	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1162	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1163	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1164	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1165	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1166	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1167	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1168	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
1169	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1170	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1171	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1172	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1173	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1174	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1175	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1176	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1177	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1178	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1179	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1180	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1181	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1182	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1183	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1184	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
1185	C₂²×C₃²	—	2	1	no	—
1186	C₂²×C₃²	—	2	1	no	—
1187	C₂²×C₃²	—	2	1	no	—
1188	C₂²×C₃²	—	2	1	no	—
1189	C₂²×C₃²	—	2	1	no	—
1190	C₂²×C₃²	—	2	1	no	—
1191	C₂²×C₃²	—	2	1	no	—
1192	C₂²×C₃²	—	2	1	no	—
1193	C₂²×C₃²	—	2	1	no	—
1194	C₂²×C₃²	—	2	1	no	—
1195	C₂²×C₃²	—	2	1	no	—
1196	C₂²×C₃²	—	2	1	no	—
1197	C₂²×C₃²	—	2	1	no	—
1198	C₂²×C₃²	—	2	1	no	—
1199	C₂²×C₃²	—	2	1	no	—
1200	C₂²×C₃²	—	8	2	no	—
1201	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
1202	C₂×C₃×D₃	—	2	1	no	—
1203	C₂×C₃×D₃	—	2	1	no	—
1204	C₂×C₃×D₃	—	2	1	no	—
1205	C₂×C₃×D₃	—	2	1	no	—
1206	C₂×C₃×D₃	—	2	1	no	—
1207	C₂×C₃×D₃	—	2	1	no	—
1208	C₂×C₃×D₃	—	8	2	no	—
1209	C₃²×C₄	—	2	1	no	—
1210	C₃²×C₄	—	2	1	no	—
1211	C₃²×C₄	—	2	1	no	—
1212	C₃²×C₄	—	2	1	no	—
1213	C₃²×C₄	—	2	1	no	—
1214	C₃²×C₄	—	2	1	no	—
1215	C₃²×C₄	—	2	1	no	—
1216	C₃²×C₄	—	2	1	no	—
1217	C₃²×C₄	—	2	1	no	—
1218	C₃²×C₄	—	2	1	no	—
1219	C₃×Dic₃	—	2	1	no	—
1220	C₃×Dic₃	—	2	1	no	—
1221	C₃×Dic₃	—	2	1	no	—
1222	C₃×Dic₃	—	2	1	no	—
1223	C₃×Dic₃	—	2	1	no	—
1224	C₃×Dic₃	—	2	1	no	—
1225	C₃×Dic₃	—	2	1	no	—
1226	C₃×Dic₃	—	2	1	no	—
1227	C₃×Dic₃	—	2	1	no	—
1228	C₃×Dic₃	—	2	1	no	—
1229	C₃×Dic₃	—	2	1	no	—
1230	C₃×Dic₃	—	2	1	no	—
1231	C₃×Dic₃	—	2	1	no	—
1232	C₃×Dic₃	—	2	1	no	—
1233	C₄⋊Q₈	—	3	1	no	—
1234	C₄⋊Q₈	—	3	1	no	—
1235	C₄⋊Q₈	—	3	1	no	—
1236	C₄⋊Q₈	—	3	1	no	—
1237	C₄⋊Q₈	—	3	1	no	—
1238	C₄⋊Q₈	—	3	1	no	—
1239	#126	—	3	1	no	—
1240	#126	—	3	1	no	—
1241	#126	—	3	1	no	—
1242	#126	—	3	1	no	—
1243	#126	—	3	1	no	—
1244	#126	—	3	1	no	—
1245	#126	—	3	1	no	—
1246	#126	—	3	1	no	—
1247	#126	—	3	1	no	—
1248	#126	—	3	1	no	—
1249	#126	—	3	1	no	—
1250	#126	—	3	1	no	—
1251	#126	—	3	1	no	—
1252	#126	—	3	1	no	—
1253	#126	—	3	1	no	—
1254	#126	—	3	1	no	—
1255	#126	—	3	1	no	—
1256	#126	—	3	1	no	—
1257	#126	—	3	1	no	—
1258	#126	—	3	1	no	—
1259	#126	—	3	1	no	—
1260	#126	—	3	1	no	—
1261	#126	—	3	1	no	—
1262	#126	—	3	1	no	—
1263	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1264	#126	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1265	#125	—	3	1	no	—
1266	#125	—	3	1	no	—
1267	#125	—	3	1	no	—
1268	#124	—	3	1	no	—
1269	#124	—	3	1	no	—
1270	#124	—	3	1	no	—
1271	#124	—	3	1	no	—
1272	#124	—	3	1	no	—
1273	#124	—	3	1	no	—
1274	#124	—	3	1	no	—
1275	#124	—	3	1	no	—
1276	#124	—	3	1	no	—
1277	#124	—	3	1	no	—
1278	#124	—	3	1	no	—
1279	#124	—	3	1	no	—
1280	#124	—	3	1	no	—
1281	#124	—	3	1	no	—
1282	#124	—	3	1	no	—
1283	#124	—	3	1	no	—
1284	#124	—	3	1	no	—
1285	#124	—	3	1	no	—
1286	#124	—	3	1	no	—
1287	#124	C₂×C₃×D₃	1	1	yes	characteristic
1288	#124	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1289	#123	—	3	1	no	—
1290	#123	—	3	1	no	—
1291	#123	—	3	1	no	—
1292	#123	—	3	1	no	—
1293	#123	—	3	1	no	—
1294	#123	—	3	1	no	—
1295	#123	—	3	1	no	—
1296	#123	—	3	1	no	—
1297	#123	—	3	1	no	—
1298	#123	—	3	1	no	—
1299	#123	—	3	1	no	—
1300	#123	—	3	1	no	—
1301	#123	—	3	1	no	—
1302	#123	—	3	1	no	—
1303	#123	—	3	1	no	—
1304	#123	—	3	1	no	—
1305	#123	C₂×C₃×D₃	1	1	yes	characteristic
1306	#123	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1307	C₂²⋊Q₈	—	3	1	no	—
1308	C₂²⋊Q₈	—	3	1	no	—
1309	C₂²⋊Q₈	—	3	1	no	—
1310	C₂²⋊Q₈	—	3	1	no	—
1311	C₂²⋊Q₈	—	3	1	no	—
1312	C₂²⋊Q₈	—	3	1	no	—
1313	C₂²⋊Q₈	—	3	1	no	—
1314	C₂²⋊Q₈	—	3	1	no	—
1315	C₂²⋊Q₈	—	3	1	no	—
1316	C₂²⋊Q₈	—	3	1	no	—
1317	C₂²⋊Q₈	—	3	1	no	—
1318	C₂²⋊Q₈	—	3	1	no	—
1319	C₂²⋊Q₈	—	3	1	no	—
1320	C₂²⋊Q₈	—	3	1	no	—
1321	C₂²⋊Q₈	—	3	1	no	—
1322	C₂²⋊Q₈	—	3	1	no	—
1323	C₂²⋊Q₈	—	3	1	no	—
1324	C₂²⋊Q₈	—	3	1	no	—
1325	C₂²⋊Q₈	—	3	1	no	—
1326	C₂²⋊Q₈	—	3	1	no	—
1327	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1328	#121	—	3	1	no	—
1329	#121	—	3	1	no	—
1330	#121	—	3	1	no	—
1331	#121	—	3	1	no	—
1332	#121	—	3	1	no	—
1333	#121	—	3	1	no	—
1334	#121	C₂×C₃×D₃	1	1	yes	characteristic
1335	#121	C₂×C₃×D₃	1	1	yes	characteristic
1336	#121	C₂×C₃×D₃	1	1	yes	characteristic
1337	#120	—	3	1	no	—
1338	#120	—	3	1	no	—
1339	#120	—	3	1	no	—
1340	#120	—	3	1	no	—
1341	#120	—	3	1	no	—
1342	#120	—	3	1	no	—
1343	#120	C₂×C₃×D₃	1	1	yes	characteristic
1344	#120	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1345	C₄×Q₈	—	3	1	no	—
1346	C₄×Q₈	—	3	1	no	—
1347	C₄×Q₈	—	3	1	no	—
1348	C₄×Q₈	—	3	1	no	—
1349	C₄×Q₈	—	3	1	no	—
1350	C₄×Q₈	—	3	1	no	—
1351	C₄×Q₈	—	3	1	no	—
1352	C₄×Q₈	—	3	1	no	—
1353	C₄×Q₈	—	3	1	no	—
1354	C₄×D₄	—	3	1	no	—
1355	C₄×D₄	—	3	1	no	—
1356	C₄×D₄	—	3	1	no	—
1357	C₄×D₄	—	3	1	no	—
1358	C₄×D₄	—	3	1	no	—
1359	C₄×D₄	—	3	1	no	—
1360	C₄×D₄	—	3	1	no	—
1361	C₄×D₄	—	3	1	no	—
1362	C₄×D₄	—	3	1	no	—
1363	C₄×D₄	—	3	1	no	—
1364	C₄×D₄	—	3	1	no	—
1365	C₄×D₄	—	3	1	no	—
1366	C₄×D₄	—	3	1	no	—
1367	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
1368	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1369	#117	—	3	1	no	—
1370	#117	—	3	1	no	—
1371	#117	—	3	1	no	—
1372	#117	—	3	1	no	—
1373	#117	—	3	1	no	—
1374	#117	—	3	1	no	—
1375	#117	—	3	1	no	—
1376	#117	—	3	1	no	—
1377	#117	—	3	1	no	—
1378	#117	—	3	1	no	—
1379	#117	—	3	1	no	—
1380	#117	—	3	1	no	—
1381	C₂×C₂²⋊C₄	—	3	1	no	—
1382	C₂×C₂²⋊C₄	—	3	1	no	—
1383	C₂×C₂²⋊C₄	—	3	1	no	—
1384	C₂×C₂²⋊C₄	—	3	1	no	—
1385	C₂×C₂²⋊C₄	—	3	1	no	—
1386	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1387	C₂×C₄²	—	3	1	no	—
1388	C₂³×C₃	—	2	1	no	—
1389	C₂³×C₃	—	2	1	no	—
1390	C₂³×C₃	—	2	1	no	—
1391	C₂³×C₃	—	2	1	no	—
1392	C₂³×C₃	—	2	1	no	—
1393	C₂³×C₃	—	3	1	no	—
1394	C₂³×C₃	—	3	1	no	—
1395	C₂³×C₃	—	4	1	no	—
1396	C₂³×C₃	—	4	1	no	—
1397	C₂³×C₃	—	4	1	no	—
1398	C₂³×C₃	—	4	1	no	—
1399	C₂³×C₃	—	4	1	no	—
1400	C₂³×C₃	—	4	1	no	—
1401	C₂³×C₃	—	4	2	no	—
1402	C₂³×C₃	—	8	1	no	—
1403	C₂³×C₃	—	8	1	no	—
1404	C₂³×C₃	—	12	1	no	—
1405	C₂³×C₃	—	12	1	no	—
1406	C₂³×C₃	—	12	1	no	—
1407	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1408	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1409	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1410	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1411	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1412	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1413	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1414	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1415	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1416	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1417	C₂²×D₃	—	4	1	no	—
1418	C₂²×D₃	—	4	1	no	—
1419	C₂²×D₃	—	4	1	no	—
1420	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1421	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1422	C₃×Q₈	—	4	1	no	—
1423	C₃×Q₈	—	4	1	no	—
1424	C₃×Q₈	—	8	1	no	—
1425	C₃×Q₈	—	12	1	no	—
1426	C₃×Q₈	—	12	1	no	—
1427	C₃×Q₈	—	12	1	no	—
1428	C₃×Q₈	—	12	1	no	—
1429	C₃×Q₈	—	12	1	no	—
1430	C₃×Q₈	—	12	1	no	—
1431	C₃×Q₈	—	12	1	no	—
1432	C₃×Q₈	—	12	1	no	—
1433	C₃×D₄	—	4	1	no	—
1434	C₃×D₄	—	4	1	no	—
1435	C₃×D₄	—	4	1	no	—
1436	C₃×D₄	—	4	1	no	—
1437	C₃×D₄	—	4	1	no	—
1438	C₃×D₄	—	4	1	no	—
1439	C₃×D₄	—	4	1	no	—
1440	C₃×D₄	—	4	1	no	—
1441	C₃×D₄	—	4	1	no	—
1442	C₃×D₄	—	4	1	no	—
1443	C₃×D₄	—	4	1	no	—
1444	C₃×D₄	—	4	1	no	—
1445	C₃×D₄	—	4	1	no	—
1446	C₃×D₄	—	4	1	no	—
1447	C₃×D₄	—	4	2	no	—
1448	C₃×D₄	—	4	2	no	—
1449	C₃×D₄	—	8	1	no	—
1450	C₃×D₄	—	8	1	no	—
1451	C₃×D₄	—	8	1	no	—
1452	C₃×D₄	—	8	1	no	—
1453	C₃×D₄	—	8	1	no	—
1454	C₃×D₄	—	12	1	no	—
1455	C₃×D₄	—	12	1	no	—
1456	C₃×D₄	—	12	1	no	—
1457	C₃×D₄	—	12	1	no	—
1458	C₃×D₄	—	12	1	no	—
1459	C₃×D₄	—	12	1	no	—
1460	C₃×D₄	—	12	1	no	—
1461	C₃×D₄	—	12	1	no	—
1462	C₂×C₃×C₄	—	2	1	no	—
1463	C₂×C₃×C₄	—	2	1	no	—
1464	C₂×C₃×C₄	—	2	1	no	—
1465	C₂×C₃×C₄	—	2	1	no	—
1466	C₂×C₃×C₄	—	2	1	no	—
1467	C₂×C₃×C₄	—	2	1	no	—
1468	C₂×C₃×C₄	—	2	1	no	—
1469	C₂×C₃×C₄	—	2	1	no	—
1470	C₂×C₃×C₄	—	2	1	no	—
1471	C₂×C₃×C₄	—	2	1	no	—
1472	C₂×C₃×C₄	—	3	1	no	—
1473	C₂×C₃×C₄	—	3	1	no	—
1474	C₂×C₃×C₄	—	3	1	no	—
1475	C₂×C₃×C₄	—	3	1	no	—
1476	C₂×C₃×C₄	—	3	1	no	—
1477	C₂×C₃×C₄	—	3	1	no	—
1478	C₂×C₃×C₄	—	3	1	no	—
1479	C₂×C₃×C₄	—	3	1	no	—
1480	C₂×C₃×C₄	—	3	1	no	—
1481	C₂×C₃×C₄	—	3	1	no	—
1482	C₂×C₃×C₄	—	3	1	no	—
1483	C₂×C₃×C₄	—	3	1	no	—
1484	C₂×C₃×C₄	—	3	1	no	—
1485	C₂×C₃×C₄	—	3	1	no	—
1486	C₂×C₃×C₄	—	4	1	no	—
1487	C₂×C₃×C₄	—	4	1	no	—
1488	C₂×C₃×C₄	—	4	1	no	—
1489	C₂×C₃×C₄	—	4	1	no	—
1490	C₂×C₃×C₄	—	4	1	no	—
1491	C₂×C₃×C₄	—	4	1	no	—
1492	C₂×C₃×C₄	—	4	1	no	—
1493	C₂×C₃×C₄	—	4	1	no	—
1494	C₂×C₃×C₄	—	8	1	no	—
1495	C₂×C₃×C₄	—	8	1	no	—
1496	C₂×C₃×C₄	—	8	1	no	—
1497	C₂×C₃×C₄	—	8	1	no	—
1498	C₂×C₃×C₄	—	12	1	no	—
1499	C₂×C₃×C₄	—	12	1	no	—
1500	C₂×C₃×C₄	—	12	1	no	—
1501	C₂×C₃×C₄	—	12	1	no	—
1502	C₂×C₃×C₄	—	12	1	no	—
1503	C₂×C₃×C₄	—	12	1	no	—
1504	C₂×C₃×C₄	—	12	1	no	—
1505	C₂×C₃×C₄	—	12	1	no	—
1506	C₂×C₃×C₄	—	12	1	no	—
1507	C₂×C₃×C₄	—	12	1	no	—
1508	C₂×C₃×C₄	—	12	1	no	—
1509	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1510	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1511	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1512	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1513	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1514	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1515	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1516	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1517	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1518	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1519	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1520	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1521	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1522	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1523	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1524	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1525	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1526	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1527	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1528	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1529	#67	—	4	1	no	—
1530	#67	—	4	1	no	—
1531	#67	—	4	1	no	—
1532	#67	—	4	1	no	—
1533	#67	—	4	1	no	—
1534	#67	—	4	1	no	—
1535	#67	—	4	1	no	—
1536	#67	—	4	1	no	—
1537	C₂×Dic₃	—	4	1	no	—
1538	C₂×Dic₃	—	4	1	no	—
1539	C₂×Dic₃	—	4	1	no	—
1540	C₂×Dic₃	—	4	1	no	—
1541	C₂×Dic₃	—	4	1	no	—
1542	C₂×Dic₃	—	4	1	no	—
1543	C₂×Dic₃	—	4	1	no	—
1544	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1545	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1546	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1547	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1548	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1549	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1550	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1551	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1552	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1553	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1554	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1555	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1556	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1557	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1558	C₄×D₃	—	4	1	no	—
1559	C₄×D₃	—	4	1	no	—
1560	C₄×D₃	—	4	1	no	—
1561	C₄×D₃	—	4	1	no	—
1562	Dic₆	—	4	1	no	—
1563	Dic₆	—	4	1	no	—
1564	Dic₆	—	4	1	no	—
1565	Dic₆	—	4	1	no	—
1566	Dic₆	—	4	1	no	—
1567	Dic₆	—	4	1	no	—
1568	Dic₆	—	4	1	no	—
1569	Dic₆	—	4	1	no	—
1570	C₂×C₃²	—	4	1	no	—
1571	C₂×C₃²	—	4	1	no	—
1572	C₂×C₃²	—	4	1	no	—
1573	C₂×C₃²	—	4	1	no	—
1574	C₂×C₃²	—	4	1	no	—
1575	C₂×C₃²	#585	1	1	yes	characteristic
1576	C₂×C₃²	#585	1	1	yes	characteristic
1577	C₂×C₃²	#585	1	1	yes	characteristic
1578	C₃×D₃	—	4	1	no	—
1579	C₃×D₃	—	4	1	no	—
1580	C₂⁴	—	3	1	no	—
1581	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1582	C₂×Q₈	—	3	1	no	—
1583	C₂×Q₈	—	3	1	no	—
1584	C₂×Q₈	—	3	1	no	—
1585	C₂×Q₈	—	3	1	no	—
1586	C₂×Q₈	—	3	1	no	—
1587	C₂×Q₈	—	3	1	no	—
1588	C₂×Q₈	—	3	1	no	—
1589	C₂×Q₈	—	3	1	no	—
1590	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1591	C₂×D₄	—	3	1	no	—
1592	C₂×D₄	—	3	1	no	—
1593	C₂×D₄	—	3	1	no	—
1594	C₂×D₄	—	3	1	no	—
1595	C₂×D₄	—	3	1	no	—
1596	C₂×D₄	—	3	1	no	—
1597	C₂×D₄	—	3	1	no	—
1598	C₂×D₄	—	3	1	no	—
1599	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1600	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1601	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1602	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1603	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1604	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1605	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1606	C₂²×C₄	—	3	1	no	—
1607	C₂²×C₄	—	3	1	no	—
1608	C₂²×C₄	—	3	1	no	—
1609	C₂²×C₄	—	3	1	no	—
1610	C₂²×C₄	—	3	1	no	—
1611	C₂²×C₄	—	3	1	no	—
1612	C₂²×C₄	—	3	1	no	—
1613	C₂²×C₄	—	3	1	no	—
1614	C₂²×C₄	—	3	1	no	—
1615	C₂²×C₄	—	3	1	no	—
1616	C₂²×C₄	—	3	1	no	—
1617	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1618	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1619	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1620	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1621	C₄⋊C₄	—	3	1	no	—
1622	C₄⋊C₄	—	3	1	no	—
1623	C₄⋊C₄	—	3	1	no	—
1624	C₄⋊C₄	—	3	1	no	—
1625	C₄⋊C₄	—	3	1	no	—
1626	C₄⋊C₄	—	3	1	no	—
1627	C₄⋊C₄	—	3	1	no	—
1628	C₄⋊C₄	—	3	1	no	—
1629	C₄⋊C₄	—	3	1	no	—
1630	C₄⋊C₄	—	3	1	no	—
1631	C₄⋊C₄	—	3	1	no	—
1632	C₄⋊C₄	—	3	1	no	—
1633	C₄⋊C₄	—	3	1	no	—
1634	C₄⋊C₄	—	3	1	no	—
1635	C₄⋊C₄	—	3	1	no	—
1636	C₄⋊C₄	—	3	1	no	—
1637	C₄⋊C₄	—	3	1	no	—
1638	C₄⋊C₄	—	3	1	no	—
1639	C₄⋊C₄	—	3	1	no	—
1640	C₄⋊C₄	—	3	1	no	—
1641	C₄⋊C₄	—	3	1	no	—
1642	C₄⋊C₄	—	3	1	no	—
1643	C₄⋊C₄	—	3	1	no	—
1644	C₄⋊C₄	—	3	1	no	—
1645	C₄⋊C₄	—	3	1	no	—
1646	C₄⋊C₄	—	3	1	no	—
1647	C₄⋊C₄	—	3	1	no	—
1648	C₄⋊C₄	—	3	1	no	—
1649	C₄⋊C₄	—	3	1	no	—
1650	C₄⋊C₄	—	3	1	no	—
1651	C₄⋊C₄	—	3	1	no	—
1652	C₄⋊C₄	—	3	1	no	—
1653	C₄⋊C₄	—	3	1	no	—
1654	C₄⋊C₄	—	3	1	no	—
1655	C₄⋊C₄	—	3	1	no	—
1656	C₄⋊C₄	—	3	1	no	—
1657	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1658	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1659	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1660	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1661	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1662	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1663	C₂²⋊C₄	—	3	1	no	—
1664	C₂²⋊C₄	—	3	1	no	—
1665	C₂²⋊C₄	—	3	1	no	—
1666	C₂²⋊C₄	—	3	1	no	—
1667	C₂²⋊C₄	—	3	1	no	—
1668	C₂²⋊C₄	—	3	1	no	—
1669	C₂²⋊C₄	—	3	1	no	—
1670	C₂²⋊C₄	—	3	1	no	—
1671	C₂²⋊C₄	—	3	1	no	—
1672	C₂²⋊C₄	—	3	1	no	—
1673	C₂²⋊C₄	—	3	1	no	—
1674	C₂²⋊C₄	—	3	1	no	—
1675	C₂²⋊C₄	—	3	1	no	—
1676	C₂²⋊C₄	—	3	1	no	—
1677	C₂²⋊C₄	—	3	1	no	—
1678	C₂²⋊C₄	—	3	1	no	—
1679	C₂²⋊C₄	—	3	1	no	—
1680	C₂²⋊C₄	—	3	1	no	—
1681	C₂²⋊C₄	—	3	1	no	—
1682	C₂²⋊C₄	—	3	1	no	—
1683	C₂²⋊C₄	—	3	1	no	—
1684	C₂²⋊C₄	—	3	1	no	—
1685	C₂²⋊C₄	—	3	1	no	—
1686	C₂²⋊C₄	—	3	1	no	—
1687	C₂²⋊C₄	—	3	1	no	—
1688	C₂²⋊C₄	—	3	1	no	—
1689	C₂²⋊C₄	—	3	1	no	—
1690	C₂²⋊C₄	—	3	1	no	—
1691	C₂²⋊C₄	—	3	1	no	—
1692	C₂²⋊C₄	—	3	1	no	—
1693	C₂²⋊C₄	—	3	1	no	—
1694	C₂²⋊C₄	—	3	1	no	—
1695	C₂²⋊C₄	—	3	1	no	—
1696	C₂²⋊C₄	—	3	1	no	—
1697	C₂²⋊C₄	—	3	1	no	—
1698	C₂²⋊C₄	—	3	1	no	—
1699	C₂²⋊C₄	—	3	1	no	—
1700	C₂²⋊C₄	—	3	1	no	—
1701	C₂²⋊C₄	—	3	1	no	—
1702	C₂²⋊C₄	—	3	1	no	—
1703	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1704	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1705	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1713	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1714	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1715	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1716	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1717	C₄²	—	3	1	no	—
1718	C₄²	—	3	1	no	—
1719	C₄²	—	3	1	no	—
1720	C₄²	—	3	1	no	—
1721	C₄²	—	3	1	no	—
1722	C₄²	—	3	1	no	—
1723	C₄²	—	3	1	no	—
1724	C₄²	—	3	1	no	—
1725	C₄²	—	3	1	no	—
1726	C₄²	—	3	1	no	—
1727	C₄²	—	3	1	no	—
1728	C₄²	—	3	1	no	—
1729	C₄²	—	3	1	no	—
1730	C₄²	—	3	1	no	—
1731	C₄²	—	3	1	no	—
1732	C₄²	—	3	1	no	—
1733	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1734	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1735	C₂²×C₃	—	2	2	no	—
1736	C₂²×C₃	—	2	1	no	—
1737	C₂²×C₃	—	2	1	no	—
1738	C₂²×C₃	—	2	1	no	—
1739	C₂²×C₃	—	2	1	no	—
1740	C₂²×C₃	—	2	1	no	—
1741	C₂²×C₃	—	2	1	no	—
1742	C₂²×C₃	—	2	1	no	—
1743	C₂²×C₃	—	2	1	no	—
1744	C₂²×C₃	—	2	1	no	—
1745	C₂²×C₃	—	2	1	no	—
1746	C₂²×C₃	—	2	1	no	—
1747	C₂²×C₃	—	2	1	no	—
1748	C₂²×C₃	—	2	1	no	—
1749	C₂²×C₃	—	2	1	no	—
1750	C₂²×C₃	—	2	1	no	—
1751	C₂²×C₃	—	2	1	no	—
1752	C₂²×C₃	—	2	1	no	—
1753	C₂²×C₃	—	2	1	no	—
1754	C₂²×C₃	—	2	1	no	—
1755	C₂²×C₃	—	2	1	no	—
1756	C₂²×C₃	—	2	1	no	—
1757	C₂²×C₃	—	2	1	no	—
1758	C₂²×C₃	—	2	1	no	—
1759	C₂²×C₃	—	2	1	no	—
1760	C₂²×C₃	—	2	1	no	—
1761	C₂²×C₃	—	2	1	no	—
1762	C₂²×C₃	—	2	1	no	—
1763	C₂²×C₃	—	2	1	no	—
1764	C₂²×C₃	—	2	1	no	—
1765	C₂²×C₃	—	2	1	no	—
1766	C₂²×C₃	—	2	1	no	—
1767	C₂²×C₃	—	4	1	no	—
1768	C₂²×C₃	—	4	1	no	—
1769	C₂²×C₃	—	4	1	no	—
1770	C₂²×C₃	—	4	1	no	—
1771	C₂²×C₃	—	4	1	no	—
1772	C₂²×C₃	—	4	1	no	—
1773	C₂²×C₃	—	4	1	no	—
1774	C₂²×C₃	—	4	1	no	—
1775	C₂²×C₃	—	4	1	no	—
1776	C₂²×C₃	—	4	1	no	—
1777	C₂²×C₃	—	4	1	no	—
1778	C₂²×C₃	—	4	1	no	—
1779	C₂²×C₃	—	4	1	no	—
1780	C₂²×C₃	—	4	1	no	—
1781	C₂²×C₃	—	6	1	no	—
1782	C₂²×C₃	—	6	1	no	—
1783	C₂²×C₃	—	6	1	no	—
1784	C₂²×C₃	—	6	1	no	—
1785	C₂²×C₃	—	6	1	no	—
1786	C₂²×C₃	—	6	1	no	—
1787	C₂²×C₃	—	8	2	no	—
1788	C₂²×C₃	—	8	2	no	—
1789	C₂²×C₃	—	8	4	no	—
1790	C₂²×C₃	—	24	2	no	—
1791	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1792	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1793	C₂×D₃	—	2	1	no	—
1794	C₂×D₃	—	2	1	no	—
1795	C₂×D₃	—	2	1	no	—
1796	C₂×D₃	—	2	1	no	—
1797	C₂×D₃	—	2	1	no	—
1798	C₂×D₃	—	2	1	no	—
1799	C₂×D₃	—	8	2	no	—
1800	C₃×C₄	—	2	1	no	—
1801	C₃×C₄	—	2	1	no	—
1802	C₃×C₄	—	2	1	no	—
1803	C₃×C₄	—	2	1	no	—
1804	C₃×C₄	—	2	1	no	—
1805	C₃×C₄	—	2	1	no	—
1806	C₃×C₄	—	2	1	no	—
1807	C₃×C₄	—	2	1	no	—
1808	C₃×C₄	—	2	1	no	—
1809	C₃×C₄	—	2	1	no	—
1810	C₃×C₄	—	2	1	no	—
1811	C₃×C₄	—	2	1	no	—
1812	C₃×C₄	—	2	1	no	—
1813	C₃×C₄	—	2	1	no	—
1814	C₃×C₄	—	2	1	no	—
1815	C₃×C₄	—	2	1	no	—
1816	C₃×C₄	—	2	1	no	—
1817	C₃×C₄	—	2	1	no	—
1818	C₃×C₄	—	2	1	no	—
1819	C₃×C₄	—	2	1	no	—
1820	C₃×C₄	—	4	1	no	—
1821	C₃×C₄	—	4	1	no	—
1822	C₃×C₄	—	4	1	no	—
1823	C₃×C₄	—	4	1	no	—
1824	C₃×C₄	—	4	1	no	—
1825	C₃×C₄	—	4	1	no	—
1826	C₃×C₄	—	4	1	no	—
1827	C₃×C₄	—	4	1	no	—
1828	C₃×C₄	—	4	1	no	—
1829	C₃×C₄	—	4	1	no	—
1830	C₃×C₄	—	6	1	no	—
1831	C₃×C₄	—	6	1	no	—
1832	C₃×C₄	—	6	1	no	—
1833	C₃×C₄	—	6	1	no	—
1834	C₃×C₄	—	6	1	no	—
1835	C₃×C₄	—	6	1	no	—
1836	C₃×C₄	—	6	1	no	—
1837	C₃×C₄	—	6	1	no	—
1838	C₃×C₄	—	6	1	no	—
1839	C₃×C₄	—	6	1	no	—
1840	C₃×C₄	—	6	1	no	—
1841	C₃×C₄	—	6	1	no	—
1842	C₃×C₄	—	6	1	no	—
1843	C₃×C₄	—	6	1	no	—
1844	Dic₃	—	2	1	no	—
1845	Dic₃	—	2	1	no	—
1846	Dic₃	—	2	1	no	—
1847	Dic₃	—	2	1	no	—
1848	Dic₃	—	2	1	no	—
1849	Dic₃	—	2	1	no	—
1850	Dic₃	—	2	1	no	—
1851	Dic₃	—	2	1	no	—
1852	Dic₃	—	2	1	no	—
1853	Dic₃	—	2	1	no	—
1854	Dic₃	—	2	1	no	—
1855	Dic₃	—	2	1	no	—
1856	Dic₃	—	2	1	no	—
1857	Dic₃	—	2	1	no	—
1858	C₃²	#3568	1	1	yes	characteristic, complemented, Sylow
1859	C₂³	—	3	1	no	—
1860	C₂³	—	3	1	no	—
1861	C₂³	—	4	1	no	—
1862	C₂³	—	4	1	no	—
1863	C₂³	—	4	1	no	—
1864	C₂³	—	12	1	no	—
1865	C₂³	—	12	1	no	—
1866	C₂³	—	12	1	no	—
1867	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1868	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1869	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1870	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1871	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1872	Q₈	—	4	1	no	—
1873	Q₈	—	12	1	no	—
1874	Q₈	—	12	1	no	—
1875	Q₈	—	12	1	no	—
1876	Q₈	—	12	1	no	—
1877	Q₈	—	12	1	no	—
1878	Q₈	—	12	1	no	—
1879	Q₈	—	12	1	no	—
1880	Q₈	—	12	1	no	—
1881	D₄	—	4	1	no	—
1882	D₄	—	4	1	no	—
1883	D₄	—	4	1	no	—
1884	D₄	—	4	1	no	—
1885	D₄	—	4	1	no	—
1886	D₄	—	4	1	no	—
1887	D₄	—	4	1	no	—
1888	D₄	—	12	1	no	—
1889	D₄	—	12	1	no	—
1890	D₄	—	12	1	no	—
1891	D₄	—	12	1	no	—
1892	D₄	—	12	1	no	—
1893	D₄	—	12	1	no	—
1894	D₄	—	12	1	no	—
1895	D₄	—	12	1	no	—
1896	C₂×C₄	—	3	1	no	—
1897	C₂×C₄	—	3	1	no	—
1898	C₂×C₄	—	3	1	no	—
1899	C₂×C₄	—	3	1	no	—
1900	C₂×C₄	—	3	1	no	—
1901	C₂×C₄	—	3	1	no	—
1902	C₂×C₄	—	3	1	no	—
1903	C₂×C₄	—	3	1	no	—
1904	C₂×C₄	—	3	1	no	—
1905	C₂×C₄	—	3	1	no	—
1906	C₂×C₄	—	3	1	no	—
1907	C₂×C₄	—	3	1	no	—
1908	C₂×C₄	—	3	1	no	—
1909	C₂×C₄	—	3	1	no	—
1910	C₂×C₄	—	4	1	no	—
1911	C₂×C₄	—	4	1	no	—
1912	C₂×C₄	—	4	1	no	—
1913	C₂×C₄	—	4	1	no	—
1914	C₂×C₄	—	12	1	no	—
1915	C₂×C₄	—	12	1	no	—
1916	C₂×C₄	—	12	1	no	—
1917	C₂×C₄	—	12	1	no	—
1918	C₂×C₄	—	12	1	no	—
1919	C₂×C₄	—	12	1	no	—
1920	C₂×C₄	—	12	1	no	—
1921	C₂×C₄	—	12	1	no	—
1922	C₂×C₄	—	12	1	no	—
1923	C₂×C₄	—	12	1	no	—
1924	C₂×C₄	—	12	1	no	—
1925	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1926	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1927	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1928	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1929	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1930	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1931	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1932	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1933	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1934	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1935	C₂×C₃	—	2	1	no	—
1936	C₂×C₃	—	2	1	no	—
1937	C₂×C₃	—	2	1	no	—
1938	C₂×C₃	—	4	2	no	—
1939	C₂×C₃	—	4	1	no	—
1940	C₂×C₃	—	4	1	no	—
1941	C₂×C₃	—	4	1	no	—
1942	C₂×C₃	—	4	1	no	—
1943	C₂×C₃	—	4	1	no	—
1944	C₂×C₃	—	4	1	no	—
1945	C₂×C₃	—	4	1	no	—
1946	C₂×C₃	—	4	1	no	—
1947	C₂×C₃	—	4	1	no	—
1948	C₂×C₃	—	4	1	no	—
1949	C₂×C₃	—	8	1	no	—
1950	C₂×C₃	—	8	1	no	—
1951	C₂×C₃	—	8	1	no	—
1952	C₂×C₃	—	8	1	no	—
1953	C₂×C₃	—	12	1	no	—
1954	C₂×C₃	—	12	1	no	—
1955	C₂×C₃	#5964	1	1	yes	characteristic
1956	C₂×C₃	#5966	1	1	yes	characteristic
1957	C₂×C₃	#5966	1	1	yes	characteristic
1958	C₂×C₃	C₃×#585	1	1	yes	characteristic
1959	C₂×C₃	C₃×#585	1	1	yes	characteristic
1960	C₂×C₃	C₃×#585	1	1	yes	characteristic
1961	D₃	—	4	1	no	—
1962	D₃	—	4	1	no	—
1963	C₂²	—	2	1	no	—
1964	C₂²	—	2	1	no	—
1965	C₂²	—	2	1	no	—
1966	C₂²	—	2	1	no	—
1967	C₂²	—	2	1	no	—
1968	C₂²	—	2	1	no	—
1969	C₂²	—	2	1	no	—
1970	C₂²	—	2	1	no	—
1971	C₂²	—	2	1	no	—
1972	C₂²	—	2	1	no	—
1973	C₂²	—	2	1	no	—
1974	C₂²	—	2	1	no	—
1975	C₂²	—	2	1	no	—
1976	C₂²	—	2	1	no	—
1977	C₂²	—	2	1	no	—
1978	C₂²	—	6	1	no	—
1979	C₂²	—	6	1	no	—
1980	C₂²	—	6	1	no	—
1981	C₂²	—	6	1	no	—
1982	C₂²	—	6	1	no	—
1983	C₂²	—	6	1	no	—
1984	C₂²	—	8	2	no	—
1985	C₂²	—	24	2	no	—
1986	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1987	C₄	—	2	1	no	—
1988	C₄	—	2	1	no	—
1989	C₄	—	2	1	no	—
1990	C₄	—	2	1	no	—
1991	C₄	—	2	1	no	—
1992	C₄	—	2	1	no	—
1993	C₄	—	2	1	no	—
1994	C₄	—	2	1	no	—
1995	C₄	—	2	1	no	—
1996	C₄	—	2	1	no	—
1997	C₄	—	6	1	no	—
1998	C₄	—	6	1	no	—
1999	C₄	—	6	1	no	—
2000	C₄	—	6	1	no	—
2001	C₄	—	6	1	no	—
2002	C₄	—	6	1	no	—
2003	C₄	—	6	1	no	—
2004	C₄	—	6	1	no	—
2005	C₄	—	6	1	no	—
2006	C₄	—	6	1	no	—
2007	C₄	—	6	1	no	—
2008	C₄	—	6	1	no	—
2009	C₄	—	6	1	no	—
2010	C₄	—	6	1	no	—
2011	C₃	—	2	1	no	—
2012	C₃	#86412	1	1	yes	characteristic, direct product factor
2013	C₃	C₃×#3568	1	1	yes	characteristic, complemented
2014	C₂	—	4	1	no	—
2015	C₂	—	4	1	no	—
2016	C₂	—	4	1	no	—
2017	C₂	—	4	1	no	—
2018	C₂	—	4	1	no	—
2019	C₂	—	12	1	no	—
2020	C₂	—	12	1	no	—
2021	C₂	C₃×#5964	1	1	yes	characteristic
2022	C₂	C₃×#5966	1	1	yes	characteristic
2023	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×#538	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#538	D₃
hypocenter	C₃	C₃×#3568
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#538

Complements

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

N	H ≅ G/N	type
1. C₃²×#538	C₂	semidirect
2. C₃×#5712	C₂	semidirect
3. C₃×#5702	C₂	semidirect
4. C₃×#5702	C₂	semidirect
5. C₃×#5702	C₂	semidirect
6. C₃×#5682	C₂	semidirect
7. C₃×#5679	C₂	semidirect
8. C₃×#5671	C₂	semidirect
9. C₃×#5669	C₂	semidirect
10. C₃×#5662	C₂	semidirect
11. C₃×#5658	C₂	semidirect
12. C₃×#5651	C₂	semidirect
13. C₃×#5649	C₂	semidirect
14. C₃×#5646	C₂	semidirect
15. C₃×#5641	C₂	semidirect
16. C₃×#5617	C₂	semidirect
17. C₃×#5613	C₂	semidirect
18. C₃×#5613	C₂	semidirect
19. C₃×#5603	C₂	semidirect
20. C₃×#5603	C₂	semidirect
21. C₃×#5600	C₂	semidirect
22. C₃×#5594	C₂	semidirect
23. C₃×#5593	C₂	semidirect
24. C₃×#5593	C₂	semidirect
25. C₃×#5587	C₂	semidirect
26. C₃×#5561	C₂	semidirect
27. C₃×#5556	C₂	semidirect
28. C₃×#5542	C₂	semidirect
29. C₃×#5538	C₂	semidirect
30. C₃×#5495	C₂	semidirect
31. C₃×#5495	C₂	semidirect
33. #86412	C₃	direct (N × H)
34. C₃²×#126	C₂²	semidirect
35. C₃²×#126	C₂²	semidirect
37. C₃²×#124	C₂²	semidirect
39. C₃²×#123	C₂²	semidirect
40. C₃²×C₂²⋊Q₈	C₂²	semidirect
45. C₃²×#120	C₂²	semidirect
47. C₃²×C₄×D₄	C₂²	semidirect
48. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
51. C₂×C₃×#217	C₂²	semidirect
52. C₂×C₃×#217	C₂²	semidirect
53. C₃×#946	C₂²	semidirect
54. C₃×#946	C₂²	semidirect
55. C₃×Q₈×Dic₃	C₂²	semidirect
56. C₃×#944	C₂²	semidirect
66. C₃×#937	C₂²	semidirect
71. C₃×#936	C₂²	semidirect
72. C₃×#936	C₂²	semidirect
73. C₃×#936	C₂²	semidirect
77. C₃×#935	C₂²	semidirect
78. C₃×#935	C₂²	semidirect
79. C₃×#935	C₂²	semidirect
82. C₃×D₄×Dic₃	C₂²	semidirect
83. C₃×D₄×Dic₃	C₂²	semidirect
84. C₃×D₄×Dic₃	C₂²	semidirect
87. C₃×#929	C₂²	semidirect
90. C₃×C₄×#67	C₂²	semidirect
91. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
92. C₃×#926	C₂²	semidirect
93. C₃×#926	C₂²	semidirect
94. C₃×#926	C₂²	semidirect
95. C₃×#924	C₂²	semidirect
96. C₃×#924	C₂²	semidirect
97. C₃×#924	C₂²	semidirect
98. C₃×#924	C₂²	semidirect
99. C₃×#924	C₂²	semidirect
100. C₂×C₃×C₄×Dic₃	C₂²	semidirect
101. C₃×#898	C₂²	semidirect
102. C₃×#898	C₂²	semidirect
103. C₃×#898	C₂²	semidirect
104. C₃×#898	C₂²	semidirect
105. C₃×#898	C₂²	semidirect
106. C₃×#898	C₂²	semidirect
107. C₃×#898	C₂²	semidirect
108. C₃×#897	C₂²	semidirect
109. C₃×#896	C₂²	semidirect
110. C₃×#896	C₂²	semidirect
111. C₃×#896	C₂²	semidirect
112. C₃×#892	C₂²	semidirect
113. C₃×#890	C₂²	semidirect
114. C₃×#889	C₂²	semidirect
115. C₃×#889	C₂²	semidirect
116. C₃×#888	C₂²	semidirect
117. C₃×#888	C₂²	semidirect
118. C₃×#888	C₂²	semidirect
119. C₃×#888	C₂²	semidirect
120. C₃×#887	C₂²	semidirect
121. C₃×#887	C₂²	semidirect
122. C₃×#887	C₂²	semidirect
123. C₃×#887	C₂²	semidirect
124. C₃×#887	C₂²	semidirect
127. C₃×#886	C₂²	semidirect
138. C₃×#885	C₂²	semidirect
139. C₃×#885	C₂²	semidirect
148. C₃×#67⋊C₄	C₂²	semidirect
149. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
150. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
151. C₃×#879	C₂²	semidirect
152. C₃×#879	C₂²	semidirect
153. C₃×#879	C₂²	semidirect
154. C₃×#879	C₂²	semidirect
155. C₃×#879	C₂²	semidirect
156. C₃×#879	C₂²	semidirect
157. C₃×#879	C₂²	semidirect
158. C₃×#879	C₂²	semidirect
159. C₃×#879	C₂²	semidirect
160. C₃×#879	C₂²	semidirect
161. C₃×#879	C₂²	semidirect
162. C₃×#879	C₂²	semidirect
163. C₃×#879	C₂²	semidirect
164. C₃×#879	C₂²	semidirect
165. C₃×#879	C₂²	semidirect
166. C₃×#879	C₂²	semidirect
167. C₃×#878	C₂²	semidirect
168. C₃×#878	C₂²	semidirect
169. C₃×#878	C₂²	semidirect
170. C₃×#878	C₂²	semidirect
171. C₃×#878	C₂²	semidirect
172. C₃×#878	C₂²	semidirect
173. C₃×#878	C₂²	semidirect
174. C₃×#878	C₂²	semidirect
175. C₃×#878	C₂²	semidirect
176. C₃×#877	C₂²	semidirect
177. C₃×#877	C₂²	semidirect
178. C₃×#877	C₂²	semidirect
179. C₃×#877	C₂²	semidirect
180. C₃×#877	C₂²	semidirect
181. C₃×#876	C₂²	semidirect
182. C₃×#872	C₂²	semidirect
183. C₃×#872	C₂²	semidirect
184. C₃×#872	C₂²	semidirect
185. C₃×#869	C₂²	semidirect
186. C₃×C₄×Dic₆	C₂²	semidirect
187. C₃×C₄×Dic₆	C₂²	semidirect
188. C₃×C₄×Dic₆	C₂²	semidirect
217. C₃×#538	D₃	semidirect
218. C₃×#538	C₂×C₃	semidirect
222. #5712	C₂×C₃	semidirect
223. #5702	C₂×C₃	semidirect
224. #5702	C₂×C₃	semidirect
225. #5702	C₂×C₃	semidirect
226. #5682	C₂×C₃	semidirect
227. #5679	C₂×C₃	semidirect
228. #5671	C₂×C₃	semidirect
229. #5669	C₂×C₃	semidirect
230. #5662	C₂×C₃	semidirect
231. #5658	C₂×C₃	semidirect
232. #5651	C₂×C₃	semidirect
233. #5649	C₂×C₃	semidirect
234. #5646	C₂×C₃	semidirect
235. #5641	C₂×C₃	semidirect
236. #5617	C₂×C₃	semidirect
237. #5613	C₂×C₃	semidirect
238. #5613	C₂×C₃	semidirect
239. #5603	C₂×C₃	semidirect
240. #5603	C₂×C₃	semidirect
241. #5600	C₂×C₃	semidirect
242. #5594	C₂×C₃	semidirect
243. #5593	C₂×C₃	semidirect
244. #5593	C₂×C₃	semidirect
245. #5587	C₂×C₃	semidirect
246. #5561	C₂×C₃	semidirect
247. #5556	C₂×C₃	semidirect
248. #5542	C₂×C₃	semidirect
249. #5538	C₂×C₃	semidirect
250. #5495	C₂×C₃	semidirect
251. #5495	C₂×C₃	semidirect
440. C₃×#126	C₂×D₃	semidirect
441. C₃×#126	C₂×D₃	semidirect
442. C₃×#126	C₂²×C₃	semidirect
443. C₃×#126	C₂²×C₃	semidirect
469. C₃×#124	C₂×D₃	semidirect
471. C₃×#124	C₂²×C₃	semidirect
491. C₃×#123	C₂×D₃	semidirect
493. C₃×#123	C₂²×C₃	semidirect
515. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
516. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
541. C₃×#120	C₂×D₃	semidirect
543. C₃×#120	C₂²×C₃	semidirect
569. C₃×C₄×D₄	C₂×D₃	semidirect
571. C₃×C₄×D₄	C₂²×C₃	semidirect
590. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
591. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
595. C₂×#217	C₂²×C₃	semidirect
596. C₂×#217	C₂²×C₃	semidirect
597. #946	C₂²×C₃	semidirect
598. #946	C₂²×C₃	semidirect
599. Q₈×Dic₃	C₂²×C₃	semidirect
600. #944	C₂²×C₃	semidirect
610. #937	C₂²×C₃	semidirect
615. #936	C₂²×C₃	semidirect
616. #936	C₂²×C₃	semidirect
617. #936	C₂²×C₃	semidirect
621. #935	C₂²×C₃	semidirect
622. #935	C₂²×C₃	semidirect
623. #935	C₂²×C₃	semidirect
626. D₄×Dic₃	C₂²×C₃	semidirect
627. D₄×Dic₃	C₂²×C₃	semidirect
628. D₄×Dic₃	C₂²×C₃	semidirect
631. #929	C₂²×C₃	semidirect
634. C₄×#67	C₂²×C₃	semidirect
635. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
636. #926	C₂²×C₃	semidirect
637. #926	C₂²×C₃	semidirect
638. #926	C₂²×C₃	semidirect
639. #924	C₂²×C₃	semidirect
640. #924	C₂²×C₃	semidirect
641. #924	C₂²×C₃	semidirect
642. #924	C₂²×C₃	semidirect
643. #924	C₂²×C₃	semidirect
644. C₂×C₄×Dic₃	C₂²×C₃	semidirect
645. #898	C₂²×C₃	semidirect
646. #898	C₂²×C₃	semidirect
647. #898	C₂²×C₃	semidirect
648. #898	C₂²×C₃	semidirect
649. #898	C₂²×C₃	semidirect
650. #898	C₂²×C₃	semidirect
651. #898	C₂²×C₃	semidirect
652. #897	C₂²×C₃	semidirect
653. #896	C₂²×C₃	semidirect
654. #896	C₂²×C₃	semidirect
655. #896	C₂²×C₃	semidirect
656. #892	C₂²×C₃	semidirect
657. #890	C₂²×C₃	semidirect
658. #889	C₂²×C₃	semidirect
659. #889	C₂²×C₃	semidirect
660. #888	C₂²×C₃	semidirect
661. #888	C₂²×C₃	semidirect
662. #888	C₂²×C₃	semidirect
663. #888	C₂²×C₃	semidirect
664. #887	C₂²×C₃	semidirect
665. #887	C₂²×C₃	semidirect
666. #887	C₂²×C₃	semidirect
667. #887	C₂²×C₃	semidirect
668. #887	C₂²×C₃	semidirect
671. #886	C₂²×C₃	semidirect
682. #885	C₂²×C₃	semidirect
683. #885	C₂²×C₃	semidirect
692. #67⋊C₄	C₂²×C₃	semidirect
693. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
694. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
695. #879	C₂²×C₃	semidirect
696. #879	C₂²×C₃	semidirect
697. #879	C₂²×C₃	semidirect
698. #879	C₂²×C₃	semidirect
699. #879	C₂²×C₃	semidirect
700. #879	C₂²×C₃	semidirect
701. #879	C₂²×C₃	semidirect
702. #879	C₂²×C₃	semidirect
703. #879	C₂²×C₃	semidirect
704. #879	C₂²×C₃	semidirect
705. #879	C₂²×C₃	semidirect
706. #879	C₂²×C₃	semidirect
707. #879	C₂²×C₃	semidirect
708. #879	C₂²×C₃	semidirect
709. #879	C₂²×C₃	semidirect
710. #879	C₂²×C₃	semidirect
711. #878	C₂²×C₃	semidirect
712. #878	C₂²×C₃	semidirect
713. #878	C₂²×C₃	semidirect
714. #878	C₂²×C₃	semidirect
715. #878	C₂²×C₃	semidirect
716. #878	C₂²×C₃	semidirect
717. #878	C₂²×C₃	semidirect
718. #878	C₂²×C₃	semidirect
719. #878	C₂²×C₃	semidirect
720. #877	C₂²×C₃	semidirect
721. #877	C₂²×C₃	semidirect
722. #877	C₂²×C₃	semidirect
723. #877	C₂²×C₃	semidirect
724. #877	C₂²×C₃	semidirect
725. #876	C₂²×C₃	semidirect
726. #872	C₂²×C₃	semidirect
727. #872	C₂²×C₃	semidirect
728. #872	C₂²×C₃	semidirect
729. #869	C₂²×C₃	semidirect
730. C₄×Dic₆	C₂²×C₃	semidirect
731. C₄×Dic₆	C₂²×C₃	semidirect
732. C₄×Dic₆	C₂²×C₃	semidirect
836. #538	C₃×D₃	semidirect
1263. #126	C₂×C₃×D₃	semidirect
1264. #126	C₂×C₃×D₃	semidirect
1288. #124	C₂×C₃×D₃	semidirect
1306. #123	C₂×C₃×D₃	semidirect
1327. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
1344. #120	C₂×C₃×D₃	semidirect
1368. C₄×D₄	C₂×C₃×D₃	semidirect
1386. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
1858. C₃²	#3568	semidirect
2012. C₃	#86412	direct (N × H)
2013. C₃	C₃×#3568	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#538	2
C₃×#5712	2
C₃×#5702	2
C₃×#5682	2
C₃×#5679	2
C₃×#5671	2
C₃×#5669	2
C₃×#5662	2
C₃×#5658	2
C₃×#5651	2
C₃×#5649	2
C₃×#5646	2
C₃×#5641	2
C₃×#5617	2
C₃×#5613	2
C₃×#5603	2
C₃×#5600	2
C₃×#5594	2
C₃×#5593	2
C₃×#5587	2
C₃×#5561	2
C₃×#5556	2
C₃×#5542	2
C₃×#5538	2
C₃×#5495	2
C₃×#3568	3
#86412	3

Subgroups — C3×#86412 #11918322

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86412 #11918322