Subgroups — C₃×#86627 #11903433

Order 1152.

2431 conjugacy classes of subgroups.

The subgroup lattice has 1407 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×Dic₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5824	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×D₄×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5680	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5671	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5650	C₂	1	2	yes	maximal, complemented
9	C₃×#5649	C₂	1	2	yes	maximal, complemented
10	C₃×#5642	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5622	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5616	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5601	C₂	1	2	yes	maximal, complemented
14	C₃×#5600	C₂	1	2	yes	maximal, complemented
15	C₃×#5600	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5587	C₂	1	2	yes	maximal, complemented
17	C₃×#5586	C₂	1	2	yes	maximal, complemented
18	C₃×#5541	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5539	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×#237	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5495	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×#877	C₂	1	2	yes	maximal, complemented
24	C₃×#3475	—	3	1	no	maximal
25	#86627	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic
28	C₂³×C₃×Dic₃	C₂²	1	2	yes	—
29	C₂×C₃×#237	C₂²	1	1	yes	characteristic
30	C₂×C₃×#237	C₂²	1	1	yes	characteristic
31	C₃²×#124	C₂²	1	1	yes	characteristic
32	C₃²×#123	C₂²	1	2	yes	—
33	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₃²×#121	C₂²	1	2	yes	—
35	C₃²×#121	C₂²	1	1	yes	characteristic
36	C₃²×#120	C₂²	1	2	yes	—
37	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	—
40	C₃×#953	C₂²	1	2	yes	—
41	C₂×C₃×#217	C₂²	1	2	yes	—
42	C₂×C₃×#217	C₂²	1	2	yes	—
43	C₃×#946	C₂²	1	1	yes	characteristic, complemented
44	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
45	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
46	C₃×#944	C₂²	1	1	yes	characteristic, complemented
47	C₃×#939	C₂²	1	2	yes	—
48	C₃×#939	C₂²	1	2	yes	complemented
49	C₃×#939	C₂²	1	2	yes	complemented
50	C₃×#938	C₂²	1	1	yes	characteristic
51	C₃×#936	C₂²	1	1	yes	characteristic
52	C₃×#936	C₂²	1	2	yes	complemented
53	C₃×#935	C₂²	1	2	yes	—
54	C₃×#935	C₂²	1	2	yes	—
55	C₃×#935	C₂²	1	2	yes	complemented
56	C₃×#935	C₂²	1	2	yes	complemented
57	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
58	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
59	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
60	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
61	C₃×D₄×Dic₃	C₂²	1	2	yes	—
62	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
63	C₃×D₄×Dic₃	C₂²	1	2	yes	—
64	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic
65	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
66	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
67	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
68	C₃×#929	C₂²	1	2	yes	complemented
69	C₃×C₄×#67	C₂²	1	1	yes	characteristic
70	C₃×C₄×#67	C₂²	1	2	yes	complemented
71	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
72	C₃×#926	C₂²	1	2	yes	complemented
73	C₃×#926	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
75	C₃×#924	C₂²	1	1	yes	characteristic
76	C₃×#924	C₂²	1	2	yes	complemented
77	C₃×#924	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
79	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
80	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
81	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
83	C₂×C₃×C₄×Dic₃	C₂²	1	2	yes	complemented
84	C₃×#898	C₂²	1	2	yes	complemented
85	C₃×#892	C₂²	1	1	yes	characteristic, complemented
86	C₃×#892	C₂²	1	1	yes	characteristic, complemented
87	C₃×#890	C₂²	1	1	yes	characteristic, complemented
88	C₃×#890	C₂²	1	2	yes	complemented
89	C₃×#889	C₂²	1	2	yes	complemented
90	C₃×#889	C₂²	1	2	yes	complemented
91	C₃×#888	C₂²	1	1	yes	characteristic, complemented
92	C₃×#887	C₂²	1	1	yes	characteristic, complemented
93	C₃×#887	C₂²	1	1	yes	characteristic, complemented
94	C₃×#887	C₂²	1	2	yes	complemented
95	C₃×#886	C₂²	1	2	yes	—
96	C₃×#885	C₂²	1	2	yes	complemented
97	C₃×#883	C₂²	1	2	yes	complemented
98	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic
99	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
100	C₃×#67⋊C₄	C₂²	1	1	yes	characteristic, complemented
101	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
102	C₃×#879	C₂²	1	2	yes	complemented
103	C₃×#879	C₂²	1	2	yes	complemented
104	C₃×#879	C₂²	1	2	yes	complemented
105	C₃×#879	C₂²	1	2	yes	complemented
106	C₃×#879	C₂²	1	2	yes	complemented
107	C₃×#878	C₂²	1	2	yes	—
108	C₃×#878	C₂²	1	2	yes	complemented
109	C₃×#878	C₂²	1	2	yes	complemented
110	C₃×#878	C₂²	1	2	yes	complemented
111	C₃×#877	C₂²	1	2	yes	—
112	C₃×#877	C₂²	1	1	yes	characteristic
113	C₃×#877	C₂²	1	2	yes	—
114	C₃×#877	C₂²	1	2	yes	—
115	C₃×#877	C₂²	1	2	yes	complemented
116	C₃×#877	C₂²	1	1	yes	characteristic, complemented
117	C₃×#877	C₂²	1	2	yes	complemented
118	C₃×#877	C₂²	1	2	yes	complemented
119	C₃×#877	C₂²	1	2	yes	complemented
120	C₃×#877	C₂²	1	2	yes	complemented
121	C₃×C₄²×D₃	C₂²	1	1	yes	characteristic, complemented
122	C₃×#870	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
125	C₃×#556	—	3	1	no	—
126	C₃×#555	—	3	1	no	—
127	C₃×#554	—	3	1	no	—
128	C₃×#553	—	3	2	no	—
129	C₃×#552	—	3	2	no	—
130	C₃×#552	—	3	1	no	—
131	C₃×#552	—	3	1	no	—
132	C₃×#551	—	3	2	no	—
133	C₃×#551	—	3	2	no	—
134	C₃×#547	—	3	1	no	—
135	C₃×#546	—	2	1	no	—
136	C₃×#546	—	3	1	no	—
137	C₃×#546	D₃	1	1	yes	characteristic, complemented
138	C₃×#546	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×#533	—	3	1	no	—
140	C₃×#529	—	3	1	no	—
141	C₃×#529	—	3	2	no	—
142	C₃×#529	—	3	2	no	—
143	C₃×#529	—	3	1	no	—
144	C₃×#525	—	3	2	no	—
145	C₃×C₄×#41	—	3	1	no	—
146	C₃×C₄×#41	—	3	1	no	—
147	C₃×C₄×#41	—	3	1	no	—
148	C₂×C₃×C₄×D₄	—	3	1	no	—
149	C₂×C₃×#117	—	3	2	no	—
150	Dic₃×#41	C₂×C₃	1	1	yes	characteristic, complemented
151	#5824	C₂×C₃	1	1	yes	characteristic, complemented
152	#5806	C₂×C₃	1	1	yes	characteristic, complemented
153	C₂×D₄×Dic₃	C₂×C₃	1	1	yes	characteristic, complemented
154	#5680	C₂×C₃	1	1	yes	characteristic, complemented
155	#5671	C₂×C₃	1	1	yes	characteristic, complemented
156	#5650	C₂×C₃	1	2	yes	complemented
157	#5649	C₂×C₃	1	2	yes	complemented
158	#5642	C₂×C₃	1	1	yes	characteristic, complemented
159	#5622	C₂×C₃	1	1	yes	characteristic, complemented
160	#5616	C₂×C₃	1	1	yes	characteristic, complemented
161	#5601	C₂×C₃	1	2	yes	complemented
162	#5600	C₂×C₃	1	2	yes	complemented
163	#5600	C₂×C₃	1	1	yes	characteristic, complemented
164	#5587	C₂×C₃	1	2	yes	complemented
165	#5586	C₂×C₃	1	2	yes	complemented
166	#5541	C₂×C₃	1	1	yes	characteristic, complemented
167	#5539	C₂×C₃	1	1	yes	characteristic, complemented
168	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
169	C₄×#237	C₂×C₃	1	1	yes	characteristic, complemented
170	#5495	C₂×C₃	1	2	yes	complemented
171	C₂×#877	C₂×C₃	1	2	yes	complemented
172	C₂⁴×C₃²	C₂³	1	2	yes	—
173	C₃²×#41	—	2	4	no	—
174	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
175	C₂×C₃²×D₄	—	2	4	no	—
176	C₂×C₃²×D₄	C₂³	1	2	yes	—
177	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
178	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
179	C₂×C₃²×D₄	C₂³	1	2	yes	—
180	C₂×C₃²×D₄	C₂³	1	2	yes	—
181	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
182	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
183	C₂²×C₃²×C₄	C₂³	1	2	yes	—
184	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
185	C₂²×C₃²×C₄	C₂³	1	2	yes	—
186	C₂×C₃×#67	C₂³	1	1	yes	characteristic
187	C₂×C₃×#67	C₂³	1	2	yes	—
188	C₂×C₃×#67	C₂³	1	1	yes	characteristic
189	C₂×C₃×#67	C₂³	1	2	yes	—
190	C₂²×C₃×Dic₃	—	2	8	no	—
191	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
192	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
193	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
194	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
195	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
196	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
197	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
198	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
199	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
200	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
201	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
202	C₃×#237	—	2	4	no	—
203	C₃×#237	—	2	4	no	—
204	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
205	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
206	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
207	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
208	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
209	C₂×C₃×Dic₆	C₂³	1	2	yes	—
210	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₃²×C₄²	C₂³	1	1	yes	characteristic
221	C₃×#217	C₂³	1	1	yes	characteristic
222	C₃×#217	C₂³	1	2	yes	—
223	C₃×#217	C₂³	1	2	yes	—
224	C₃×#217	C₂³	1	2	yes	—
225	C₃×#217	C₂³	1	2	yes	—
226	C₃×#217	C₂³	1	1	yes	characteristic
227	C₃×#217	C₂³	1	2	yes	—
228	C₃×#217	C₂³	1	2	yes	—
229	C₃×#217	C₂³	1	2	yes	—
230	C₃×#217	C₂³	1	2	yes	—
231	C₃×#217	C₂³	1	2	yes	—
232	C₃×#217	C₂³	1	2	yes	—
233	C₃×#217	C₂³	1	2	yes	—
234	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
235	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
236	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
237	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
238	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
239	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
240	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
241	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
242	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
243	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
244	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
245	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
246	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
248	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
249	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
250	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
251	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
252	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
253	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
254	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
255	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
256	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
257	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
258	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
259	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
260	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
261	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
262	C₃×C₄×Dic₃	C₂³	1	2	yes	—
263	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
264	C₃×C₄×Dic₃	C₂³	1	2	yes	—
265	C₃×C₄×Dic₃	C₂³	1	2	yes	—
266	C₃×C₄×Dic₃	C₂³	1	2	yes	—
267	C₃×C₄×Dic₃	C₂³	1	2	yes	—
268	C₃×C₄×Dic₃	C₂³	1	2	yes	—
269	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
270	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
271	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
272	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
273	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
274	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
275	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
276	#3475	—	3	1	no	Sylow
277	C₂×C₃×#41	—	2	1	no	—
278	C₂×C₃×#41	—	3	1	no	—
279	C₂×C₃×#41	—	3	1	no	—
280	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic
281	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic
282	C₂²×C₃×D₄	—	2	1	no	—
283	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic
284	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
285	C₂³×C₃×C₄	—	3	2	no	—
286	C₂³×Dic₃	C₂²×C₃	1	2	yes	—
287	C₂×#237	C₂²×C₃	1	1	yes	characteristic
288	C₂×#237	C₂²×C₃	1	1	yes	characteristic
289	C₃×C₄⋊Q₈	—	3	1	no	—
290	C₃×C₄⋊Q₈	—	3	1	no	—
291	C₃×#126	—	3	2	no	—
292	C₃×#126	—	3	2	no	—
293	C₃×#126	—	3	2	no	—
294	C₃×#126	—	3	2	no	—
295	C₃×#126	—	3	2	no	—
296	C₃×#126	—	3	2	no	—
297	C₃×#125	—	3	2	no	—
298	C₃×#125	—	3	2	no	—
299	C₃×#125	—	3	2	no	—
300	C₃×#125	—	3	1	no	—
301	C₃×#125	—	3	1	no	—
302	C₃×#124	—	2	1	no	—
303	C₃×#124	—	3	1	no	—
304	C₃×#124	—	3	2	no	—
305	C₃×#124	—	3	2	no	—
306	C₃×#124	C₂×D₃	1	1	yes	characteristic
307	C₃×#124	C₂²×C₃	1	1	yes	characteristic
308	C₃×#123	—	2	2	no	—
309	C₃×#123	—	3	2	no	—
310	C₃×#123	—	3	2	no	—
311	C₃×#123	—	3	2	no	—
312	C₃×#123	—	3	2	no	—
313	C₃×#123	—	3	2	no	—
314	C₃×#123	—	3	2	no	—
315	C₃×#123	—	3	2	no	—
316	C₃×#123	C₂×D₃	1	2	yes	—
317	C₃×#123	C₂²×C₃	1	2	yes	—
318	C₃×C₂²⋊Q₈	—	2	1	no	—
319	C₃×C₂²⋊Q₈	—	3	1	no	—
320	C₃×C₂²⋊Q₈	—	3	1	no	—
321	C₃×C₂²⋊Q₈	—	3	1	no	—
322	C₃×C₂²⋊Q₈	—	3	2	no	—
323	C₃×C₂²⋊Q₈	—	3	2	no	—
324	C₃×C₂²⋊Q₈	—	3	2	no	—
325	C₃×C₂²⋊Q₈	—	3	2	no	—
326	C₃×C₂²⋊Q₈	—	3	2	no	—
327	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
328	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
329	C₃×#121	—	2	2	no	—
330	C₃×#121	—	2	1	no	—
331	C₃×#121	—	3	1	no	—
332	C₃×#121	—	3	2	no	—
333	C₃×#121	—	3	2	no	—
334	C₃×#121	—	3	2	no	—
335	C₃×#121	C₂×D₃	1	2	yes	—
336	C₃×#121	C₂×D₃	1	1	yes	characteristic
337	C₃×#121	C₂²×C₃	1	2	yes	—
338	C₃×#121	C₂²×C₃	1	1	yes	characteristic
339	C₃×#120	—	2	2	no	—
340	C₃×#120	—	3	2	no	—
341	C₃×#120	C₂×D₃	1	2	yes	—
342	C₃×#120	C₂²×C₃	1	2	yes	—
343	C₃×C₄×Q₈	—	3	1	no	—
344	C₃×C₄×Q₈	—	3	1	no	—
345	C₃×C₄×Q₈	—	3	1	no	—
346	C₃×C₄×Q₈	—	3	1	no	—
347	C₃×C₄×Q₈	—	3	2	no	—
348	C₃×C₄×Q₈	—	3	1	no	—
349	C₃×C₄×Q₈	—	3	1	no	—
350	C₃×C₄×D₄	—	2	1	no	—
351	C₃×C₄×D₄	—	2	1	no	—
352	C₃×C₄×D₄	—	3	1	no	—
353	C₃×C₄×D₄	—	3	1	no	—
354	C₃×C₄×D₄	—	3	2	no	—
355	C₃×C₄×D₄	—	3	1	no	—
356	C₃×C₄×D₄	—	3	2	no	—
357	C₃×C₄×D₄	—	3	1	no	—
358	C₃×C₄×D₄	—	3	1	no	—
359	C₃×C₄×D₄	—	3	1	no	—
360	C₃×C₄×D₄	—	3	2	no	—
361	C₃×C₄×D₄	—	3	2	no	—
362	C₃×C₄×D₄	—	3	2	no	—
363	C₃×C₄×D₄	—	3	1	no	—
364	C₃×C₄×D₄	—	3	1	no	—
365	C₃×C₄×D₄	—	3	2	no	—
366	C₃×C₄×D₄	—	3	1	no	—
367	C₃×C₄×D₄	—	3	2	no	—
368	C₃×C₄×D₄	—	3	1	no	—
369	C₃×C₄×D₄	—	3	2	no	—
370	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
371	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
372	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
373	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
374	C₃×#117	—	3	2	no	—
375	C₃×#117	—	3	1	no	—
376	C₃×#117	—	3	1	no	—
377	C₃×#117	—	3	1	no	—
378	C₃×#117	—	3	1	no	—
379	C₃×#117	—	3	2	no	—
380	C₃×#117	—	3	2	no	—
381	C₃×#117	—	3	2	no	—
382	C₃×#117	—	3	2	no	—
383	C₃×#117	—	3	2	no	—
384	C₃×#117	—	3	2	no	—
385	C₃×#117	—	3	2	no	—
386	C₃×#117	—	3	1	no	—
387	C₃×#117	—	3	2	no	—
388	C₂×C₃×C₄⋊C₄	—	3	2	no	—
389	C₂×C₃×C₄⋊C₄	—	3	2	no	—
390	C₂×C₃×C₄⋊C₄	—	3	1	no	—
391	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
392	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
393	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
394	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	—
395	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
396	C₂×C₃×C₄²	—	3	1	no	—
397	C₂×C₃×C₄²	—	3	2	no	—
398	C₂×C₃×C₄²	—	3	2	no	—
399	C₂×C₃×C₄²	—	3	1	no	—
400	C₂×C₃×C₄²	—	3	1	no	—
401	#953	C₂²×C₃	1	2	yes	—
402	C₂×#217	C₂²×C₃	1	2	yes	—
403	C₂×#217	C₂²×C₃	1	2	yes	—
404	#946	C₂²×C₃	1	1	yes	characteristic, complemented
405	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
406	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
407	#944	C₂²×C₃	1	1	yes	characteristic, complemented
408	#939	C₂²×C₃	1	2	yes	—
409	#939	C₂²×C₃	1	2	yes	complemented
410	#939	C₂²×C₃	1	2	yes	complemented
411	#938	C₂²×C₃	1	1	yes	characteristic
412	#936	C₂²×C₃	1	1	yes	characteristic
413	#936	C₂²×C₃	1	2	yes	complemented
414	#935	C₂²×C₃	1	2	yes	—
415	#935	C₂²×C₃	1	2	yes	—
416	#935	C₂²×C₃	1	2	yes	complemented
417	#935	C₂²×C₃	1	2	yes	complemented
418	D₄×Dic₃	C₂²×C₃	1	2	yes	—
419	D₄×Dic₃	C₂²×C₃	1	2	yes	—
420	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
421	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
422	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
423	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
424	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
425	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
426	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
427	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
428	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
429	#929	C₂²×C₃	1	2	yes	complemented
430	C₄×#67	C₂²×C₃	1	1	yes	characteristic
431	C₄×#67	C₂²×C₃	1	2	yes	complemented
432	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
433	#926	C₂²×C₃	1	2	yes	complemented
434	#926	C₂²×C₃	1	1	yes	characteristic, complemented
435	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic
436	#924	C₂²×C₃	1	1	yes	characteristic
437	#924	C₂²×C₃	1	2	yes	complemented
438	#924	C₂²×C₃	1	1	yes	characteristic, complemented
439	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
440	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
441	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
442	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
443	C₂×C₄×Dic₃	C₂²×C₃	1	2	yes	complemented
444	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
445	#898	C₂²×C₃	1	2	yes	complemented
446	#892	C₂²×C₃	1	1	yes	characteristic, complemented
447	#892	C₂²×C₃	1	1	yes	characteristic, complemented
448	#890	C₂²×C₃	1	2	yes	complemented
449	#890	C₂²×C₃	1	1	yes	characteristic, complemented
450	#889	C₂²×C₃	1	2	yes	complemented
451	#889	C₂²×C₃	1	2	yes	complemented
452	#888	C₂²×C₃	1	1	yes	characteristic, complemented
453	#887	C₂²×C₃	1	2	yes	complemented
454	#887	C₂²×C₃	1	1	yes	characteristic, complemented
455	#887	C₂²×C₃	1	1	yes	characteristic, complemented
456	#886	C₂²×C₃	1	2	yes	—
457	#885	C₂²×C₃	1	2	yes	complemented
458	#883	C₂²×C₃	1	2	yes	complemented
459	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic
460	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
461	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
462	#67⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
463	#879	C₂²×C₃	1	2	yes	complemented
464	#879	C₂²×C₃	1	2	yes	complemented
465	#879	C₂²×C₃	1	2	yes	complemented
466	#879	C₂²×C₃	1	2	yes	complemented
467	#879	C₂²×C₃	1	2	yes	complemented
468	#878	C₂²×C₃	1	2	yes	—
469	#878	C₂²×C₃	1	2	yes	complemented
470	#878	C₂²×C₃	1	2	yes	complemented
471	#878	C₂²×C₃	1	2	yes	complemented
472	#877	C₂²×C₃	1	2	yes	—
473	#877	C₂²×C₃	1	1	yes	characteristic
474	#877	C₂²×C₃	1	2	yes	—
475	#877	C₂²×C₃	1	2	yes	—
476	#877	C₂²×C₃	1	2	yes	complemented
477	#877	C₂²×C₃	1	2	yes	complemented
478	#877	C₂²×C₃	1	2	yes	complemented
479	#877	C₂²×C₃	1	2	yes	complemented
480	#877	C₂²×C₃	1	2	yes	complemented
481	#877	C₂²×C₃	1	1	yes	characteristic, complemented
482	C₄²×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
483	#870	C₂²×C₃	1	1	yes	characteristic, complemented
484	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
485	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
486	C₂³×C₃²	—	2	4	no	—
487	C₂³×C₃²	—	2	4	no	—
488	C₂³×C₃²	—	4	2	no	—
489	C₂³×C₃²	C₂⁴	1	2	yes	—
490	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
491	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
492	C₂³×C₃²	C₂⁴	1	2	yes	—
493	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
494	C₃²×Q₈	—	2	2	no	—
495	C₃²×D₄	—	2	2	no	—
496	C₃²×D₄	—	2	4	no	—
497	C₃²×D₄	—	2	4	no	—
498	C₃²×D₄	—	2	2	no	—
499	C₃²×D₄	—	4	2	no	—
500	C₃²×D₄	#41	1	4	yes	complemented
501	C₂×C₃²×C₄	—	2	4	no	—
502	C₂×C₃²×C₄	—	2	2	no	—
503	C₂×C₃²×C₄	—	2	2	no	—
504	C₂×C₃²×C₄	—	4	2	no	—
505	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
506	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
507	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
508	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
509	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
510	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
511	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
512	C₃×#67	—	2	4	no	—
513	C₃×#67	—	2	2	no	—
514	C₃×#67	—	2	2	no	—
515	C₃×#67	—	4	2	no	—
516	C₂×C₃×Dic₃	—	2	4	no	—
517	C₂×C₃×Dic₃	—	2	4	no	—
518	C₂×C₃×Dic₃	—	2	2	no	—
519	C₂×C₃×Dic₃	—	2	4	no	—
520	C₂×C₃×Dic₃	—	2	4	no	—
521	C₂×C₃×Dic₃	—	2	4	no	—
522	C₂×C₃×Dic₃	—	2	4	no	—
523	C₂×C₃×Dic₃	—	4	1	no	—
524	C₂×C₃×Dic₃	—	4	2	no	—
525	C₂×C₃×Dic₃	—	4	1	no	—
526	C₂×C₃×Dic₃	#41	1	4	yes	complemented
527	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
528	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
531	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
532	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
533	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
534	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
535	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
536	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
538	C₃×C₄×D₃	—	2	2	no	—
539	C₃×C₄×D₃	—	2	2	no	—
540	C₃×C₄×D₃	—	4	1	no	—
541	C₃×Dic₆	—	2	2	no	—
542	C₃×Dic₆	—	2	2	no	—
543	C₃×Dic₆	—	4	2	no	—
544	#556	—	3	1	no	—
545	#555	—	3	1	no	—
546	#554	—	3	1	no	—
547	#553	—	3	2	no	—
548	#552	—	3	2	no	—
549	#552	—	3	1	no	—
550	#552	—	3	1	no	—
551	#551	—	3	2	no	—
552	#551	—	3	2	no	—
553	#547	—	3	1	no	—
554	#546	—	3	1	no	—
555	#546	C₃×D₃	1	1	yes	characteristic, complemented
556	#533	—	3	1	no	—
557	#529	—	3	1	no	—
558	#529	—	3	2	no	—
559	#529	—	3	2	no	—
560	#529	—	3	1	no	—
561	#525	—	3	2	no	—
562	C₄×#41	—	3	1	no	—
563	C₄×#41	—	3	1	no	—
564	C₄×#41	—	3	1	no	—
565	C₂×C₄×D₄	—	3	1	no	—
566	C₂×#117	—	3	2	no	—
567	C₂⁴×C₃	—	2	2	no	—
568	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
569	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
570	C₃×#41	—	2	4	no	—
571	C₃×#41	—	2	4	no	—
572	C₃×#41	—	4	4	no	—
573	C₃×#41	—	6	4	no	—
574	C₃×#41	—	6	4	no	—
575	C₂×C₃×Q₈	—	2	1	no	—
576	C₂×C₃×Q₈	—	3	1	no	—
577	C₂×C₃×Q₈	—	3	1	no	—
578	C₂×C₃×Q₈	—	3	2	no	—
579	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
580	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
581	C₂×C₃×D₄	—	2	4	no	—
582	C₂×C₃×D₄	—	2	4	no	—
583	C₂×C₃×D₄	—	2	1	no	—
584	C₂×C₃×D₄	—	2	1	no	—
585	C₂×C₃×D₄	—	2	2	no	—
586	C₂×C₃×D₄	—	2	2	no	—
587	C₂×C₃×D₄	—	2	1	no	—
588	C₂×C₃×D₄	—	2	2	no	—
589	C₂×C₃×D₄	—	3	1	no	—
590	C₂×C₃×D₄	—	3	2	no	—
591	C₂×C₃×D₄	—	3	1	no	—
592	C₂×C₃×D₄	—	3	2	no	—
593	C₂×C₃×D₄	—	4	4	no	—
594	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
595	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
596	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
597	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
598	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
599	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
600	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
601	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
603	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
604	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
605	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
606	C₂²×C₃×C₄	—	2	2	no	—
607	C₂²×C₃×C₄	—	2	1	no	—
608	C₂²×C₃×C₄	—	2	1	no	—
609	C₂²×C₃×C₄	—	2	2	no	—
610	C₂²×C₃×C₄	—	3	1	no	—
611	C₂²×C₃×C₄	—	3	2	no	—
612	C₂²×C₃×C₄	—	3	2	no	—
613	C₂²×C₃×C₄	—	3	1	no	—
614	C₂²×C₃×C₄	—	3	2	no	—
615	C₂²×C₃×C₄	—	3	2	no	—
616	C₂²×C₃×C₄	—	3	2	no	—
617	C₂²×C₃×C₄	—	3	2	no	—
618	C₂²×C₃×C₄	—	3	1	no	—
619	C₂²×C₃×C₄	—	3	2	no	—
620	C₂²×C₃×C₄	—	3	1	no	—
621	C₂²×C₃×C₄	—	3	1	no	—
622	C₂²×C₃×C₄	—	3	1	no	—
623	C₂²×C₃×C₄	—	3	1	no	—
624	C₂²×C₃×C₄	—	6	8	no	—
625	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
626	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
627	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
628	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
629	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
630	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
631	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
632	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
633	C₂×#67	C₂³×C₃	1	1	yes	characteristic
634	C₂×#67	C₂³×C₃	1	2	yes	—
635	C₂×#67	C₂³×C₃	1	1	yes	characteristic
636	C₂×#67	C₂³×C₃	1	2	yes	—
637	C₂²×Dic₃	—	2	8	no	—
638	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
639	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
640	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
641	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
642	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
643	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
644	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
645	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
646	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
647	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
648	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
649	#237	—	2	4	no	—
650	#237	—	2	4	no	—
651	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
652	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
653	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
654	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
655	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
656	C₂×Dic₆	C₂³×C₃	1	2	yes	—
657	C₃×C₄⋊C₄	—	2	1	no	—
658	C₃×C₄⋊C₄	—	2	1	no	—
659	C₃×C₄⋊C₄	—	2	2	no	—
660	C₃×C₄⋊C₄	—	3	1	no	—
661	C₃×C₄⋊C₄	—	3	1	no	—
662	C₃×C₄⋊C₄	—	3	2	no	—
663	C₃×C₄⋊C₄	—	3	2	no	—
664	C₃×C₄⋊C₄	—	3	2	no	—
665	C₃×C₄⋊C₄	—	3	2	no	—
666	C₃×C₄⋊C₄	—	3	2	no	—
667	C₃×C₄⋊C₄	—	3	2	no	—
668	C₃×C₄⋊C₄	—	3	1	no	—
669	C₃×C₄⋊C₄	—	3	2	no	—
670	C₃×C₄⋊C₄	—	3	2	no	—
671	C₃×C₄⋊C₄	—	3	1	no	—
672	C₃×C₄⋊C₄	—	3	2	no	—
673	C₃×C₄⋊C₄	—	3	2	no	—
674	C₃×C₄⋊C₄	—	3	2	no	—
675	C₃×C₄⋊C₄	—	3	1	no	—
676	C₃×C₄⋊C₄	—	3	1	no	—
677	C₃×C₄⋊C₄	—	3	2	no	—
678	C₃×C₄⋊C₄	—	3	1	no	—
679	C₃×C₄⋊C₄	—	3	1	no	—
680	C₃×C₄⋊C₄	—	3	2	no	—
681	C₃×C₄⋊C₄	—	3	2	no	—
682	C₃×C₄⋊C₄	—	3	2	no	—
683	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
684	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
685	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
686	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
687	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
688	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
689	C₃×C₂²⋊C₄	—	2	1	no	—
690	C₃×C₂²⋊C₄	—	2	2	no	—
691	C₃×C₂²⋊C₄	—	2	2	no	—
692	C₃×C₂²⋊C₄	—	2	2	no	—
693	C₃×C₂²⋊C₄	—	2	2	no	—
694	C₃×C₂²⋊C₄	—	2	1	no	—
695	C₃×C₂²⋊C₄	—	2	2	no	—
696	C₃×C₂²⋊C₄	—	3	1	no	—
697	C₃×C₂²⋊C₄	—	3	2	no	—
698	C₃×C₂²⋊C₄	—	3	2	no	—
699	C₃×C₂²⋊C₄	—	3	2	no	—
700	C₃×C₂²⋊C₄	—	3	2	no	—
701	C₃×C₂²⋊C₄	—	3	2	no	—
702	C₃×C₂²⋊C₄	—	3	2	no	—
703	C₃×C₂²⋊C₄	—	3	2	no	—
704	C₃×C₂²⋊C₄	—	3	2	no	—
705	C₃×C₂²⋊C₄	—	3	2	no	—
706	C₃×C₂²⋊C₄	—	3	1	no	—
707	C₃×C₂²⋊C₄	—	3	2	no	—
708	C₃×C₂²⋊C₄	—	3	2	no	—
709	C₃×C₂²⋊C₄	—	3	1	no	—
710	C₃×C₂²⋊C₄	—	3	2	no	—
711	C₃×C₂²⋊C₄	—	3	1	no	—
712	C₃×C₂²⋊C₄	—	3	2	no	—
713	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
714	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
715	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
716	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
717	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
718	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
719	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
720	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
721	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
722	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
723	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
724	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
725	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
726	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
727	C₃×C₄²	—	2	1	no	—
728	C₃×C₄²	—	3	1	no	—
729	C₃×C₄²	—	3	1	no	—
730	C₃×C₄²	—	3	1	no	—
731	C₃×C₄²	—	3	2	no	—
732	C₃×C₄²	—	3	2	no	—
733	C₃×C₄²	—	3	1	no	—
734	C₃×C₄²	—	3	2	no	—
735	C₃×C₄²	—	3	2	no	—
736	C₃×C₄²	—	3	2	no	—
737	C₃×C₄²	—	3	1	no	—
738	C₃×C₄²	—	3	1	no	—
739	C₃×C₄²	—	3	2	no	—
740	C₃×C₄²	—	3	1	no	—
741	C₃×C₄²	—	3	1	no	—
742	C₃×C₄²	—	3	1	no	—
743	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
744	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
745	#217	C₂³×C₃	1	1	yes	characteristic
746	#217	C₂³×C₃	1	2	yes	—
747	#217	C₂³×C₃	1	2	yes	—
748	#217	C₂³×C₃	1	2	yes	—
749	#217	C₂³×C₃	1	2	yes	—
750	#217	C₂³×C₃	1	1	yes	characteristic
751	#217	C₂³×C₃	1	2	yes	—
752	#217	C₂³×C₃	1	2	yes	—
753	#217	C₂³×C₃	1	2	yes	—
754	#217	C₂³×C₃	1	2	yes	—
755	#217	C₂³×C₃	1	2	yes	—
756	#217	C₂³×C₃	1	2	yes	—
757	#217	C₂³×C₃	1	2	yes	—
758	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
759	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
760	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
761	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
762	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
763	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
764	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
765	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
766	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
767	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
768	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
769	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
770	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
771	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
772	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
773	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
774	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
775	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
776	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
777	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
778	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
779	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
780	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
781	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
782	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
783	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
784	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
785	C₄×Dic₃	C₂³×C₃	1	2	yes	—
786	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
787	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
788	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
789	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
790	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
791	C₄×Dic₃	C₂³×C₃	1	2	yes	—
792	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
793	C₄×Dic₃	C₂³×C₃	1	2	yes	—
794	C₄×Dic₃	C₂³×C₃	1	2	yes	—
795	C₄×Dic₃	C₂³×C₃	1	2	yes	—
796	C₄×Dic₃	C₂³×C₃	1	2	yes	—
797	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
798	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
799	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
800	C₂²×C₃²	—	2	2	no	—
801	C₂²×C₃²	—	2	1	no	—
802	C₂²×C₃²	—	2	2	no	—
803	C₂²×C₃²	—	2	1	no	—
804	C₂²×C₃²	—	2	2	no	—
805	C₂²×C₃²	—	2	1	no	—
806	C₂²×C₃²	—	2	1	no	—
807	C₂²×C₃²	—	2	2	no	—
808	C₂²×C₃²	—	2	1	no	—
809	C₂²×C₃²	—	2	2	no	—
810	C₂²×C₃²	—	4	8	no	—
811	C₂²×C₃²	C₂×#41	1	4	yes	—
812	C₂²×C₃²	C₂×#41	1	2	yes	—
813	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
814	C₂×C₃×D₃	—	2	1	no	—
815	C₂×C₃×D₃	—	2	1	no	—
816	C₂×C₃×D₃	—	2	1	no	—
817	C₃²×C₄	—	2	1	no	—
818	C₃²×C₄	—	2	1	no	—
819	C₃²×C₄	—	2	1	no	—
820	C₃²×C₄	—	2	2	no	—
821	C₃²×C₄	—	2	2	no	—
822	C₃²×C₄	—	2	1	no	—
823	C₃²×C₄	C₂×#41	1	2	yes	—
824	C₃×Dic₃	—	2	2	no	—
825	C₃×Dic₃	—	2	1	no	—
826	C₃×Dic₃	—	2	1	no	—
827	C₃×Dic₃	—	2	2	no	—
828	C₃×Dic₃	—	2	2	no	—
829	C₃×Dic₃	—	2	1	no	—
830	C₃×Dic₃	—	2	2	no	—
831	C₃×Dic₃	—	2	1	no	—
832	C₃×Dic₃	—	2	1	no	—
833	C₃×Dic₃	C₂×#41	1	2	yes	—
834	C₃×Dic₃	C₂×#41	1	2	yes	—
835	C₂×#41	—	3	1	no	—
836	C₂×#41	—	3	1	no	—
837	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic
838	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic
839	C₂³×C₄	—	3	2	no	—
840	C₄⋊Q₈	—	3	1	no	—
841	C₄⋊Q₈	—	3	1	no	—
842	#126	—	3	2	no	—
843	#126	—	3	2	no	—
844	#126	—	3	2	no	—
845	#126	—	3	2	no	—
846	#126	—	3	2	no	—
847	#126	—	3	2	no	—
848	#125	—	3	2	no	—
849	#125	—	3	2	no	—
850	#125	—	3	1	no	—
851	#125	—	3	2	no	—
852	#125	—	3	1	no	—
853	#124	—	3	1	no	—
854	#124	—	3	2	no	—
855	#124	—	3	2	no	—
856	#124	C₂×C₃×D₃	1	1	yes	characteristic
857	#123	—	3	2	no	—
858	#123	—	3	2	no	—
859	#123	—	3	2	no	—
860	#123	—	3	2	no	—
861	#123	—	3	2	no	—
862	#123	—	3	2	no	—
863	#123	—	3	2	no	—
864	#123	C₂×C₃×D₃	1	2	yes	—
865	C₂²⋊Q₈	—	3	1	no	—
866	C₂²⋊Q₈	—	3	1	no	—
867	C₂²⋊Q₈	—	3	2	no	—
868	C₂²⋊Q₈	—	3	1	no	—
869	C₂²⋊Q₈	—	3	2	no	—
870	C₂²⋊Q₈	—	3	2	no	—
871	C₂²⋊Q₈	—	3	2	no	—
872	C₂²⋊Q₈	—	3	2	no	—
873	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic
874	#121	—	3	2	no	—
875	#121	—	3	2	no	—
876	#121	—	3	2	no	—
877	#121	—	3	1	no	—
878	#121	C₂×C₃×D₃	1	2	yes	—
879	#121	C₂×C₃×D₃	1	1	yes	characteristic
880	#120	—	3	2	no	—
881	#120	C₂×C₃×D₃	1	2	yes	—
882	C₄×Q₈	—	3	1	no	—
883	C₄×Q₈	—	3	1	no	—
884	C₄×Q₈	—	3	1	no	—
885	C₄×Q₈	—	3	1	no	—
886	C₄×Q₈	—	3	2	no	—
887	C₄×Q₈	—	3	1	no	—
888	C₄×Q₈	—	3	1	no	—
889	C₄×D₄	—	3	1	no	—
890	C₄×D₄	—	3	1	no	—
891	C₄×D₄	—	3	2	no	—
892	C₄×D₄	—	3	1	no	—
893	C₄×D₄	—	3	2	no	—
894	C₄×D₄	—	3	1	no	—
895	C₄×D₄	—	3	2	no	—
896	C₄×D₄	—	3	1	no	—
897	C₄×D₄	—	3	1	no	—
898	C₄×D₄	—	3	2	no	—
899	C₄×D₄	—	3	2	no	—
900	C₄×D₄	—	3	1	no	—
901	C₄×D₄	—	3	1	no	—
902	C₄×D₄	—	3	2	no	—
903	C₄×D₄	—	3	2	no	—
904	C₄×D₄	—	3	1	no	—
905	C₄×D₄	—	3	1	no	—
906	C₄×D₄	—	3	2	no	—
907	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
908	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
909	#117	—	3	2	no	—
910	#117	—	3	1	no	—
911	#117	—	3	1	no	—
912	#117	—	3	1	no	—
913	#117	—	3	1	no	—
914	#117	—	3	2	no	—
915	#117	—	3	2	no	—
916	#117	—	3	2	no	—
917	#117	—	3	2	no	—
918	#117	—	3	2	no	—
919	#117	—	3	2	no	—
920	#117	—	3	2	no	—
921	#117	—	3	1	no	—
922	#117	—	3	2	no	—
923	C₂×C₄⋊C₄	—	3	2	no	—
924	C₂×C₄⋊C₄	—	3	2	no	—
925	C₂×C₄⋊C₄	—	3	1	no	—
926	C₂×C₂²⋊C₄	—	3	2	no	—
927	C₂×C₂²⋊C₄	—	3	2	no	—
928	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	—
929	C₂×C₄²	—	3	2	no	—
930	C₂×C₄²	—	3	2	no	—
931	C₂×C₄²	—	3	1	no	—
932	C₂×C₄²	—	3	1	no	—
933	C₂×C₄²	—	3	1	no	—
934	C₂³×C₃	—	2	4	no	—
935	C₂³×C₃	—	2	4	no	—
936	C₂³×C₃	—	2	4	no	—
937	C₂³×C₃	—	2	4	no	—
938	C₂³×C₃	—	2	1	no	—
939	C₂³×C₃	—	2	2	no	—
940	C₂³×C₃	—	2	2	no	—
941	C₂³×C₃	—	2	1	no	—
942	C₂³×C₃	—	3	1	no	—
943	C₂³×C₃	—	4	4	no	—
944	C₂³×C₃	—	4	4	no	—
945	C₂³×C₃	—	4	2	no	—
946	C₂³×C₃	—	4	2	no	—
947	C₂³×C₃	—	8	2	no	—
948	C₂³×C₃	C₂³×D₃	1	2	yes	—
949	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
950	C₂³×C₃	C₂³×D₃	1	2	yes	—
951	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
952	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
953	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
954	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
955	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
956	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
957	C₃×Q₈	—	2	2	no	—
958	C₃×Q₈	—	2	2	no	—
959	C₃×Q₈	—	4	2	no	—
960	C₃×Q₈	—	6	2	no	—
961	C₃×Q₈	—	6	2	no	—
962	C₃×Q₈	—	12	2	no	—
963	C₃×D₄	—	2	4	no	—
964	C₃×D₄	—	2	4	no	—
965	C₃×D₄	—	2	2	no	—
966	C₃×D₄	—	2	2	no	—
967	C₃×D₄	—	2	4	no	—
968	C₃×D₄	—	2	4	no	—
969	C₃×D₄	—	2	2	no	—
970	C₃×D₄	—	2	2	no	—
971	C₃×D₄	—	2	4	no	—
972	C₃×D₄	—	4	2	no	—
973	C₃×D₄	—	4	2	no	—
974	C₃×D₄	—	4	4	no	—
975	C₃×D₄	—	4	4	no	—
976	C₃×D₄	—	4	2	no	—
977	C₃×D₄	—	4	2	no	—
978	C₃×D₄	—	6	2	no	—
979	C₃×D₄	—	6	4	no	—
980	C₃×D₄	—	6	2	no	—
981	C₃×D₄	—	8	2	no	—
982	C₃×D₄	—	12	2	no	—
983	C₃×D₄	#237	1	4	yes	complemented
984	C₃×D₄	C₃×#41	1	4	yes	complemented
985	C₂×C₃×C₄	—	2	4	no	—
986	C₂×C₃×C₄	—	2	4	no	—
987	C₂×C₃×C₄	—	2	2	no	—
988	C₂×C₃×C₄	—	2	2	no	—
989	C₂×C₃×C₄	—	2	2	no	—
990	C₂×C₃×C₄	—	2	2	no	—
991	C₂×C₃×C₄	—	2	1	no	—
992	C₂×C₃×C₄	—	2	1	no	—
993	C₂×C₃×C₄	—	2	1	no	—
994	C₂×C₃×C₄	—	2	2	no	—
995	C₂×C₃×C₄	—	2	1	no	—
996	C₂×C₃×C₄	—	2	2	no	—
997	C₂×C₃×C₄	—	2	1	no	—
998	C₂×C₃×C₄	—	3	4	no	—
999	C₂×C₃×C₄	—	3	1	no	—
1000	C₂×C₃×C₄	—	3	1	no	—
1001	C₂×C₃×C₄	—	3	1	no	—
1002	C₂×C₃×C₄	—	3	2	no	—
1003	C₂×C₃×C₄	—	3	1	no	—
1004	C₂×C₃×C₄	—	3	1	no	—
1005	C₂×C₃×C₄	—	3	1	no	—
1006	C₂×C₃×C₄	—	3	2	no	—
1007	C₂×C₃×C₄	—	3	1	no	—
1008	C₂×C₃×C₄	—	3	2	no	—
1009	C₂×C₃×C₄	—	3	2	no	—
1010	C₂×C₃×C₄	—	4	2	no	—
1011	C₂×C₃×C₄	—	4	2	no	—
1012	C₂×C₃×C₄	—	4	4	no	—
1013	C₂×C₃×C₄	—	4	2	no	—
1014	C₂×C₃×C₄	—	4	2	no	—
1015	C₂×C₃×C₄	—	6	2	no	—
1016	C₂×C₃×C₄	—	6	4	no	—
1017	C₂×C₃×C₄	—	6	4	no	—
1018	C₂×C₃×C₄	—	6	4	no	—
1019	C₂×C₃×C₄	—	6	4	no	—
1020	C₂×C₃×C₄	—	6	2	no	—
1021	C₂×C₃×C₄	—	6	4	no	—
1022	C₂×C₃×C₄	—	6	4	no	—
1023	C₂×C₃×C₄	—	6	2	no	—
1024	C₂×C₃×C₄	—	8	2	no	—
1025	C₂×C₃×C₄	—	12	1	no	—
1026	C₂×C₃×C₄	—	12	1	no	—
1027	C₂×C₃×C₄	—	12	2	no	—
1028	C₂×C₃×C₄	—	12	1	no	—
1029	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1030	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1031	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1032	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1033	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1034	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1035	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1036	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1037	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1039	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1041	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1042	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1043	#67	—	2	4	no	—
1044	#67	—	2	2	no	—
1045	#67	—	2	2	no	—
1046	#67	—	4	2	no	—
1047	C₂×Dic₃	—	2	4	no	—
1048	C₂×Dic₃	—	2	4	no	—
1049	C₂×Dic₃	—	2	2	no	—
1050	C₂×Dic₃	—	2	4	no	—
1051	C₂×Dic₃	—	2	4	no	—
1052	C₂×Dic₃	—	2	4	no	—
1053	C₂×Dic₃	—	2	4	no	—
1054	C₂×Dic₃	—	4	1	no	—
1055	C₂×Dic₃	—	4	2	no	—
1056	C₂×Dic₃	—	4	1	no	—
1057	C₂×Dic₃	C₃×#41	1	4	yes	complemented
1058	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1059	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1060	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1061	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1062	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1063	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1064	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1067	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1068	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1069	C₄×D₃	—	2	2	no	—
1070	C₄×D₃	—	2	2	no	—
1071	C₄×D₃	—	4	1	no	—
1072	Dic₆	—	2	2	no	—
1073	Dic₆	—	2	2	no	—
1074	Dic₆	—	4	2	no	—
1075	C₂×C₃²	—	2	2	no	—
1076	C₂×C₃²	—	2	4	no	—
1077	C₂×C₃²	—	4	1	no	—
1078	C₂×C₃²	—	4	2	no	—
1079	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1080	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1081	C₂×C₃²	#585	1	1	yes	characteristic
1082	C₃×D₃	—	4	1	no	—
1083	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1084	#41	—	2	4	no	—
1085	#41	—	6	4	no	—
1086	#41	—	6	4	no	—
1087	C₂×Q₈	—	3	1	no	—
1088	C₂×Q₈	—	3	1	no	—
1089	C₂×Q₈	—	3	2	no	—
1090	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	3	1	no	—
1093	C₂×D₄	—	3	2	no	—
1094	C₂×D₄	—	3	1	no	—
1095	C₂×D₄	—	3	2	no	—
1096	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1097	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1098	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1099	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1100	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1101	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1102	C₂²×C₄	—	3	1	no	—
1103	C₂²×C₄	—	3	2	no	—
1104	C₂²×C₄	—	3	2	no	—
1105	C₂²×C₄	—	3	1	no	—
1106	C₂²×C₄	—	3	2	no	—
1107	C₂²×C₄	—	3	2	no	—
1108	C₂²×C₄	—	3	2	no	—
1109	C₂²×C₄	—	3	2	no	—
1110	C₂²×C₄	—	3	1	no	—
1111	C₂²×C₄	—	3	2	no	—
1112	C₂²×C₄	—	3	1	no	—
1113	C₂²×C₄	—	3	1	no	—
1114	C₂²×C₄	—	3	1	no	—
1115	C₂²×C₄	—	3	1	no	—
1116	C₂²×C₄	—	6	8	no	—
1117	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1118	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1121	C₄⋊C₄	—	3	1	no	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	—	3	1	no	—
1124	C₄⋊C₄	—	3	2	no	—
1125	C₄⋊C₄	—	3	2	no	—
1126	C₄⋊C₄	—	3	2	no	—
1127	C₄⋊C₄	—	3	2	no	—
1128	C₄⋊C₄	—	3	2	no	—
1129	C₄⋊C₄	—	3	2	no	—
1130	C₄⋊C₄	—	3	1	no	—
1131	C₄⋊C₄	—	3	2	no	—
1132	C₄⋊C₄	—	3	1	no	—
1133	C₄⋊C₄	—	3	1	no	—
1134	C₄⋊C₄	—	3	1	no	—
1135	C₄⋊C₄	—	3	2	no	—
1136	C₄⋊C₄	—	3	2	no	—
1137	C₄⋊C₄	—	3	2	no	—
1138	C₄⋊C₄	—	3	2	no	—
1139	C₄⋊C₄	—	3	1	no	—
1140	C₄⋊C₄	—	3	2	no	—
1141	C₄⋊C₄	—	3	2	no	—
1142	C₄⋊C₄	—	3	2	no	—
1143	C₄⋊C₄	—	3	2	no	—
1144	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1145	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1146	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1147	C₂²⋊C₄	—	3	1	no	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	—	3	2	no	—
1155	C₂²⋊C₄	—	3	2	no	—
1156	C₂²⋊C₄	—	3	2	no	—
1157	C₂²⋊C₄	—	3	1	no	—
1158	C₂²⋊C₄	—	3	2	no	—
1159	C₂²⋊C₄	—	3	2	no	—
1160	C₂²⋊C₄	—	3	1	no	—
1161	C₂²⋊C₄	—	3	2	no	—
1162	C₂²⋊C₄	—	3	1	no	—
1163	C₂²⋊C₄	—	3	2	no	—
1164	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1165	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1166	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1167	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1168	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1169	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1170	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	1	no	—
1173	C₄²	—	3	1	no	—
1174	C₄²	—	3	2	no	—
1175	C₄²	—	3	2	no	—
1176	C₄²	—	3	1	no	—
1177	C₄²	—	3	2	no	—
1178	C₄²	—	3	2	no	—
1179	C₄²	—	3	2	no	—
1180	C₄²	—	3	1	no	—
1181	C₄²	—	3	1	no	—
1182	C₄²	—	3	2	no	—
1183	C₄²	—	3	1	no	—
1184	C₄²	—	3	1	no	—
1185	C₄²	—	3	1	no	—
1186	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1187	C₂²×C₃	—	2	1	no	—
1188	C₂²×C₃	—	2	2	no	—
1189	C₂²×C₃	—	2	2	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	2	no	—
1192	C₂²×C₃	—	2	1	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	2	1	no	—
1195	C₂²×C₃	—	2	1	no	—
1196	C₂²×C₃	—	2	2	no	—
1197	C₂²×C₃	—	2	2	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	1	no	—
1200	C₂²×C₃	—	2	2	no	—
1201	C₂²×C₃	—	2	2	no	—
1202	C₂²×C₃	—	2	1	no	—
1203	C₂²×C₃	—	2	1	no	—
1204	C₂²×C₃	—	2	2	no	—
1205	C₂²×C₃	—	2	1	no	—
1206	C₂²×C₃	—	2	2	no	—
1207	C₂²×C₃	—	2	4	no	—
1208	C₂²×C₃	—	2	2	no	—
1209	C₂²×C₃	—	2	1	no	—
1210	C₂²×C₃	—	4	1	no	—
1211	C₂²×C₃	—	4	2	no	—
1212	C₂²×C₃	—	4	2	no	—
1213	C₂²×C₃	—	4	1	no	—
1214	C₂²×C₃	—	4	1	no	—
1215	C₂²×C₃	—	4	2	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	2	no	—
1219	C₂²×C₃	—	4	2	no	—
1220	C₂²×C₃	—	4	8	no	—
1221	C₂²×C₃	—	4	8	no	—
1222	C₂²×C₃	—	6	1	no	—
1223	C₂²×C₃	—	6	1	no	—
1224	C₂²×C₃	—	6	1	no	—
1225	C₂²×C₃	—	8	8	no	—
1226	C₂²×C₃	C₂×#237	1	4	yes	—
1227	C₂²×C₃	D₃×#41	1	2	yes	—
1228	C₂²×C₃	C₂×C₃×#41	1	4	yes	—
1229	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
1230	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1231	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1232	C₂×D₃	—	2	1	no	—
1233	C₂×D₃	—	2	1	no	—
1234	C₂×D₃	—	2	1	no	—
1235	C₃×C₄	—	2	1	no	—
1236	C₃×C₄	—	2	1	no	—
1237	C₃×C₄	—	2	2	no	—
1238	C₃×C₄	—	2	1	no	—
1239	C₃×C₄	—	2	1	no	—
1240	C₃×C₄	—	2	2	no	—
1241	C₃×C₄	—	2	1	no	—
1242	C₃×C₄	—	2	1	no	—
1243	C₃×C₄	—	2	1	no	—
1244	C₃×C₄	—	2	2	no	—
1245	C₃×C₄	—	2	2	no	—
1246	C₃×C₄	—	2	1	no	—
1247	C₃×C₄	—	2	2	no	—
1248	C₃×C₄	—	3	2	no	—
1249	C₃×C₄	—	3	2	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	2	no	—
1253	C₃×C₄	—	4	1	no	—
1254	C₃×C₄	—	4	2	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	6	1	no	—
1257	C₃×C₄	—	6	2	no	—
1258	C₃×C₄	—	6	2	no	—
1259	C₃×C₄	—	6	2	no	—
1260	C₃×C₄	—	6	1	no	—
1261	C₃×C₄	—	6	1	no	—
1262	C₃×C₄	—	6	1	no	—
1263	C₃×C₄	—	6	2	no	—
1264	C₃×C₄	—	6	1	no	—
1265	C₃×C₄	C₂×#237	1	2	yes	—
1266	C₃×C₄	C₂×C₃×#41	1	2	yes	—
1267	Dic₃	—	2	2	no	—
1268	Dic₃	—	2	1	no	—
1269	Dic₃	—	2	1	no	—
1270	Dic₃	—	2	2	no	—
1271	Dic₃	—	2	2	no	—
1272	Dic₃	—	2	1	no	—
1273	Dic₃	—	2	2	no	—
1274	Dic₃	—	2	1	no	—
1275	Dic₃	—	2	1	no	—
1276	Dic₃	C₂×C₃×#41	1	2	yes	—
1277	Dic₃	C₂×C₃×#41	1	2	yes	—
1278	C₃²	#3475	1	1	yes	characteristic, complemented, Sylow
1279	C₂³	—	2	4	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	3	1	no	—
1282	C₂³	—	4	2	no	—
1283	C₂³	C₂³×C₃×D₃	1	2	yes	—
1284	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1285	C₂³	C₂³×C₃×D₃	1	2	yes	—
1286	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1287	Q₈	—	2	2	no	—
1288	Q₈	—	6	2	no	—
1289	Q₈	—	6	2	no	—
1290	Q₈	—	12	2	no	—
1291	D₄	—	2	4	no	—
1292	D₄	—	2	4	no	—
1293	D₄	—	2	2	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	4	2	no	—
1296	D₄	—	6	2	no	—
1297	D₄	—	6	4	no	—
1298	D₄	—	6	2	no	—
1299	D₄	—	12	2	no	—
1300	D₄	C₃×#237	1	4	yes	complemented
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	3	4	no	—
1305	C₂×C₄	—	3	1	no	—
1306	C₂×C₄	—	3	1	no	—
1307	C₂×C₄	—	3	1	no	—
1308	C₂×C₄	—	3	2	no	—
1309	C₂×C₄	—	3	1	no	—
1310	C₂×C₄	—	3	1	no	—
1311	C₂×C₄	—	3	1	no	—
1312	C₂×C₄	—	3	2	no	—
1313	C₂×C₄	—	3	1	no	—
1314	C₂×C₄	—	3	2	no	—
1315	C₂×C₄	—	3	2	no	—
1316	C₂×C₄	—	4	2	no	—
1317	C₂×C₄	—	6	2	no	—
1318	C₂×C₄	—	6	4	no	—
1319	C₂×C₄	—	6	4	no	—
1320	C₂×C₄	—	6	4	no	—
1321	C₂×C₄	—	6	4	no	—
1322	C₂×C₄	—	6	2	no	—
1323	C₂×C₄	—	6	4	no	—
1324	C₂×C₄	—	6	4	no	—
1325	C₂×C₄	—	6	2	no	—
1326	C₂×C₄	—	12	1	no	—
1327	C₂×C₄	—	12	1	no	—
1328	C₂×C₄	—	12	2	no	—
1329	C₂×C₄	—	12	1	no	—
1330	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1331	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1332	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1333	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1334	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1335	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1336	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1337	C₂×C₃	—	2	2	no	—
1338	C₂×C₃	—	2	4	no	—
1339	C₂×C₃	—	2	2	no	—
1340	C₂×C₃	—	2	4	no	—
1341	C₂×C₃	—	2	1	no	—
1342	C₂×C₃	—	2	1	no	—
1343	C₂×C₃	—	2	1	no	—
1344	C₂×C₃	—	4	2	no	—
1345	C₂×C₃	—	4	4	no	—
1346	C₂×C₃	—	4	2	no	—
1347	C₂×C₃	—	4	1	no	—
1348	C₂×C₃	—	4	2	no	—
1349	C₂×C₃	—	4	1	no	—
1350	C₂×C₃	—	8	2	no	—
1351	C₂×C₃	—	8	1	no	—
1352	C₂×C₃	—	12	1	no	—
1353	C₂×C₃	C₂²×#237	1	1	yes	characteristic
1354	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1355	C₂×C₃	#5966	1	1	yes	characteristic
1356	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1357	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1358	C₂×C₃	C₃×#585	1	1	yes	characteristic
1359	D₃	—	4	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	1	no	—
1364	C₂²	—	2	1	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	4	8	no	—
1371	C₂²	—	6	1	no	—
1372	C₂²	—	6	1	no	—
1373	C₂²	—	6	1	no	—
1374	C₂²	C₂×C₃×#237	1	4	yes	—
1375	C₂²	C₃×D₃×#41	1	2	yes	—
1376	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	2	no	—
1380	C₄	—	2	1	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	3	2	no	—
1384	C₄	—	3	2	no	—
1385	C₄	—	6	1	no	—
1386	C₄	—	6	2	no	—
1387	C₄	—	6	2	no	—
1388	C₄	—	6	2	no	—
1389	C₄	—	6	1	no	—
1390	C₄	—	6	1	no	—
1391	C₄	—	6	1	no	—
1392	C₄	—	6	2	no	—
1393	C₄	—	6	1	no	—
1394	C₄	C₂×C₃×#237	1	2	yes	—
1395	C₃	—	2	1	no	—
1396	C₃	#86627	1	1	yes	characteristic, direct product factor
1397	C₃	C₃×#3475	1	1	yes	characteristic, complemented
1398	C₂	—	2	2	no	—
1399	C₂	—	2	4	no	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	1	no	—
1402	C₂	—	12	1	no	—
1403	C₂	C₂²×C₃×#237	1	1	yes	characteristic
1404	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1405	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×#546	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#546	D₃
hypocenter	C₃	C₃×#3475
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#546

Complements

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

N	H ≅ G/N	type
1. C₃²×#546	C₂	semidirect
2. C₃×Dic₃×#41	C₂	semidirect
3. C₃×#5824	C₂	semidirect
4. C₃×#5806	C₂	semidirect
5. C₂×C₃×D₄×Dic₃	C₂	semidirect
6. C₃×#5680	C₂	semidirect
7. C₃×#5671	C₂	semidirect
8. C₃×#5650	C₂	semidirect
9. C₃×#5649	C₂	semidirect
10. C₃×#5642	C₂	semidirect
11. C₃×#5622	C₂	semidirect
12. C₃×#5616	C₂	semidirect
13. C₃×#5601	C₂	semidirect
14. C₃×#5600	C₂	semidirect
15. C₃×#5600	C₂	semidirect
16. C₃×#5587	C₂	semidirect
17. C₃×#5586	C₂	semidirect
18. C₃×#5541	C₂	semidirect
19. C₃×#5539	C₂	semidirect
20. C₃×C₄×#237	C₂	semidirect
21. C₃×C₄×#237	C₂	semidirect
22. C₃×#5495	C₂	semidirect
23. C₂×C₃×#877	C₂	semidirect
25. #86627	C₃	direct (N × H)
43. C₃×#946	C₂²	semidirect
44. C₃×Q₈×Dic₃	C₂²	semidirect
45. C₃×Q₈×Dic₃	C₂²	semidirect
46. C₃×#944	C₂²	semidirect
48. C₃×#939	C₂²	semidirect
49. C₃×#939	C₂²	semidirect
52. C₃×#936	C₂²	semidirect
55. C₃×#935	C₂²	semidirect
56. C₃×#935	C₂²	semidirect
65. C₃×D₄×Dic₃	C₂²	semidirect
66. C₃×D₄×Dic₃	C₂²	semidirect
67. C₃×D₄×Dic₃	C₂²	semidirect
68. C₃×#929	C₂²	semidirect
70. C₃×C₄×#67	C₂²	semidirect
71. C₃×C₄×#67	C₂²	semidirect
72. C₃×#926	C₂²	semidirect
73. C₃×#926	C₂²	semidirect
76. C₃×#924	C₂²	semidirect
77. C₃×#924	C₂²	semidirect
78. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
79. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
81. C₂×C₃×C₄×Dic₃	C₂²	semidirect
82. C₂×C₃×C₄×Dic₃	C₂²	semidirect
83. C₂×C₃×C₄×Dic₃	C₂²	semidirect
84. C₃×#898	C₂²	semidirect
85. C₃×#892	C₂²	semidirect
86. C₃×#892	C₂²	semidirect
87. C₃×#890	C₂²	semidirect
88. C₃×#890	C₂²	semidirect
89. C₃×#889	C₂²	semidirect
90. C₃×#889	C₂²	semidirect
91. C₃×#888	C₂²	semidirect
92. C₃×#887	C₂²	semidirect
93. C₃×#887	C₂²	semidirect
94. C₃×#887	C₂²	semidirect
96. C₃×#885	C₂²	semidirect
97. C₃×#883	C₂²	semidirect
99. C₃×#67⋊C₄	C₂²	semidirect
100. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×#67⋊C₄	C₂²	semidirect
102. C₃×#879	C₂²	semidirect
103. C₃×#879	C₂²	semidirect
104. C₃×#879	C₂²	semidirect
105. C₃×#879	C₂²	semidirect
106. C₃×#879	C₂²	semidirect
108. C₃×#878	C₂²	semidirect
109. C₃×#878	C₂²	semidirect
110. C₃×#878	C₂²	semidirect
115. C₃×#877	C₂²	semidirect
116. C₃×#877	C₂²	semidirect
117. C₃×#877	C₂²	semidirect
118. C₃×#877	C₂²	semidirect
119. C₃×#877	C₂²	semidirect
120. C₃×#877	C₂²	semidirect
121. C₃×C₄²×D₃	C₂²	semidirect
122. C₃×#870	C₂²	semidirect
123. C₃×C₄×Dic₆	C₂²	semidirect
124. C₃×C₄×Dic₆	C₂²	semidirect
137. C₃×#546	D₃	semidirect
138. C₃×#546	C₂×C₃	semidirect
150. Dic₃×#41	C₂×C₃	semidirect
151. #5824	C₂×C₃	semidirect
152. #5806	C₂×C₃	semidirect
153. C₂×D₄×Dic₃	C₂×C₃	semidirect
154. #5680	C₂×C₃	semidirect
155. #5671	C₂×C₃	semidirect
156. #5650	C₂×C₃	semidirect
157. #5649	C₂×C₃	semidirect
158. #5642	C₂×C₃	semidirect
159. #5622	C₂×C₃	semidirect
160. #5616	C₂×C₃	semidirect
161. #5601	C₂×C₃	semidirect
162. #5600	C₂×C₃	semidirect
163. #5600	C₂×C₃	semidirect
164. #5587	C₂×C₃	semidirect
165. #5586	C₂×C₃	semidirect
166. #5541	C₂×C₃	semidirect
167. #5539	C₂×C₃	semidirect
168. C₄×#237	C₂×C₃	semidirect
169. C₄×#237	C₂×C₃	semidirect
170. #5495	C₂×C₃	semidirect
171. C₂×#877	C₂×C₃	semidirect
404. #946	C₂²×C₃	semidirect
405. Q₈×Dic₃	C₂²×C₃	semidirect
406. Q₈×Dic₃	C₂²×C₃	semidirect
407. #944	C₂²×C₃	semidirect
409. #939	C₂²×C₃	semidirect
410. #939	C₂²×C₃	semidirect
413. #936	C₂²×C₃	semidirect
416. #935	C₂²×C₃	semidirect
417. #935	C₂²×C₃	semidirect
426. D₄×Dic₃	C₂²×C₃	semidirect
427. D₄×Dic₃	C₂²×C₃	semidirect
428. D₄×Dic₃	C₂²×C₃	semidirect
429. #929	C₂²×C₃	semidirect
431. C₄×#67	C₂²×C₃	semidirect
432. C₄×#67	C₂²×C₃	semidirect
433. #926	C₂²×C₃	semidirect
434. #926	C₂²×C₃	semidirect
437. #924	C₂²×C₃	semidirect
438. #924	C₂²×C₃	semidirect
439. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
440. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
442. C₂×C₄×Dic₃	C₂²×C₃	semidirect
443. C₂×C₄×Dic₃	C₂²×C₃	semidirect
444. C₂×C₄×Dic₃	C₂²×C₃	semidirect
445. #898	C₂²×C₃	semidirect
446. #892	C₂²×C₃	semidirect
447. #892	C₂²×C₃	semidirect
448. #890	C₂²×C₃	semidirect
449. #890	C₂²×C₃	semidirect
450. #889	C₂²×C₃	semidirect
451. #889	C₂²×C₃	semidirect
452. #888	C₂²×C₃	semidirect
453. #887	C₂²×C₃	semidirect
454. #887	C₂²×C₃	semidirect
455. #887	C₂²×C₃	semidirect
457. #885	C₂²×C₃	semidirect
458. #883	C₂²×C₃	semidirect
460. #67⋊C₄	C₂²×C₃	semidirect
461. #67⋊C₄	C₂²×C₃	semidirect
462. #67⋊C₄	C₂²×C₃	semidirect
463. #879	C₂²×C₃	semidirect
464. #879	C₂²×C₃	semidirect
465. #879	C₂²×C₃	semidirect
466. #879	C₂²×C₃	semidirect
467. #879	C₂²×C₃	semidirect
469. #878	C₂²×C₃	semidirect
470. #878	C₂²×C₃	semidirect
471. #878	C₂²×C₃	semidirect
476. #877	C₂²×C₃	semidirect
477. #877	C₂²×C₃	semidirect
478. #877	C₂²×C₃	semidirect
479. #877	C₂²×C₃	semidirect
480. #877	C₂²×C₃	semidirect
481. #877	C₂²×C₃	semidirect
482. C₄²×D₃	C₂²×C₃	semidirect
483. #870	C₂²×C₃	semidirect
484. C₄×Dic₆	C₂²×C₃	semidirect
485. C₄×Dic₆	C₂²×C₃	semidirect
500. C₃²×D₄	#41	semidirect
526. C₂×C₃×Dic₃	#41	semidirect
555. #546	C₃×D₃	semidirect
983. C₃×D₄	#237	semidirect
984. C₃×D₄	C₃×#41	semidirect
1057. C₂×Dic₃	C₃×#41	semidirect
1278. C₃²	#3475	semidirect
1300. D₄	C₃×#237	semidirect
1396. C₃	#86627	direct (N × H)
1397. C₃	C₃×#3475	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#546	2
C₃×Dic₃×#41	2
C₃×#5824	2
C₃×#5806	2
C₂×C₃×D₄×Dic₃	2
C₃×#5680	2
C₃×#5671	2
C₃×#5650	2
C₃×#5649	2
C₃×#5642	2
C₃×#5622	2
C₃×#5616	2
C₃×#5601	2
C₃×#5600	2
C₃×#5587	2
C₃×#5586	2
C₃×#5541	2
C₃×#5539	2
C₃×C₄×#237	2
C₃×#5495	2
C₂×C₃×#877	2
C₃×#3475	3
#86627	3

Subgroups — C3×#86627 #11903433

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86627 #11903433