Subgroups — #11692136

Order 768.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86964	C₂	1	1	yes	maximal, characteristic
2	#86869	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
4	#83649	C₂	1	1	yes	maximal, characteristic, complemented
5	#83599	C₂	1	1	yes	maximal, characteristic, complemented
6	#81978	C₂	1	1	yes	maximal, characteristic, complemented
7	#81969	C₂	1	1	yes	maximal, characteristic, complemented
8	#81535	C₂	1	1	yes	maximal, characteristic, complemented
9	#81531	C₂	1	1	yes	maximal, characteristic, complemented
10	#81498	C₂	1	1	yes	maximal, characteristic, complemented
11	#81498	C₂	1	1	yes	maximal, characteristic, complemented
12	#81383	C₂	1	1	yes	maximal, characteristic, complemented
13	#81361	C₂	1	1	yes	maximal, characteristic, complemented
14	#81342	C₂	1	1	yes	maximal, characteristic, complemented
15	#81316	C₂	1	1	yes	maximal, characteristic, complemented
16	D₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
17	#81153	C₂	1	1	yes	maximal, characteristic, complemented
18	#81008	C₂	1	1	yes	maximal, characteristic, complemented
19	#81002	C₂	1	1	yes	maximal, characteristic, complemented
20	#80821	C₂	1	1	yes	maximal, characteristic, complemented
21	#80798	C₂	1	1	yes	maximal, characteristic, complemented
22	#80680	C₂	1	1	yes	maximal, characteristic, complemented
23	#80646	C₂	1	1	yes	maximal, characteristic, complemented
24	#79779	C₂	1	1	yes	maximal, characteristic, complemented
25	#79752	C₂	1	1	yes	maximal, characteristic, complemented
26	#79501	C₂	1	1	yes	maximal, characteristic, complemented
27	#79464	C₂	1	1	yes	maximal, characteristic, complemented
28	#79242	C₂	1	1	yes	maximal, characteristic, complemented
29	#79226	C₂	1	1	yes	maximal, characteristic, complemented
30	#79197	C₂	1	1	yes	maximal, characteristic, complemented
31	#79187	C₂	1	1	yes	maximal, characteristic, complemented
32	#62164	—	3	1	no	maximal, Sylow
33	C₃×#555	C₂²	1	1	yes	characteristic
34	C₃×#552	C₂²	1	1	yes	characteristic, complemented
35	#5730	C₂²	1	1	yes	characteristic
36	#5725	C₂²	1	1	yes	characteristic
37	#5708	—	2	1	no	—
38	#5701	—	2	1	no	—
39	#5689	—	2	1	no	—
40	D₃×#125	C₂²	1	1	yes	characteristic, complemented
41	C₃⋊#564	—	2	1	no	—
42	#5685	C₂²	1	1	yes	characteristic, complemented
43	#5678	—	2	1	no	—
44	#5678	—	2	1	no	—
45	#5676	—	2	1	no	—
46	#5676	—	2	1	no	—
47	#5660	—	2	1	no	—
48	#5651	—	2	1	no	—
49	#5639	C₂²	1	1	yes	characteristic, complemented
50	#5635	C₂²	1	1	yes	characteristic, complemented
51	#5625	C₂²	1	1	yes	characteristic, complemented
52	#5625	C₂²	1	1	yes	characteristic, complemented
53	#5619	C₂²	1	1	yes	characteristic
54	#5619	C₂²	1	1	yes	characteristic
55	#5612	—	2	1	no	—
56	#5609	C₂²	1	1	yes	characteristic
57	#5609	C₂²	1	1	yes	characteristic
58	D₃×#121	—	2	1	no	—
59	#5578	C₂²	1	1	yes	characteristic, complemented
60	#5569	C₂²	1	1	yes	characteristic, complemented
61	#5557	C₂²	1	1	yes	characteristic
62	#5553	C₂²	1	1	yes	characteristic
63	D₄×D₁₂	C₂²	1	1	yes	characteristic
64	C₄×D₃×D₄	C₂²	1	1	yes	characteristic
65	#5541	C₂²	1	1	yes	characteristic, complemented
66	#5530	—	2	1	no	—
67	#5530	C₂²	1	1	yes	characteristic
68	#5530	C₂²	1	1	yes	characteristic
69	#5529	—	2	1	no	—
70	#5529	C₂²	1	1	yes	characteristic, complemented
71	#5524	—	2	1	no	—
72	#5521	C₂²	1	1	yes	characteristic
73	#5521	C₂²	1	1	yes	characteristic
74	#5519	C₂²	1	1	yes	characteristic, complemented
75	#5518	—	2	1	no	—
76	#5511	C₂²	1	1	yes	characteristic, complemented
77	#5500	C₂²	1	1	yes	characteristic, complemented
78	C₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₃×#485	C₂²	1	1	yes	characteristic, complemented
80	C₃×#485	C₂²	1	1	yes	characteristic, complemented
81	C₃×#482	C₂²	1	1	yes	characteristic, complemented
82	C₃×#481	C₂²	1	1	yes	characteristic, complemented
83	C₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₃×#475	C₂²	1	1	yes	characteristic, complemented
85	C₃×#468	C₂²	1	1	yes	characteristic, complemented
86	C₃×#465	C₂²	1	1	yes	characteristic, complemented
87	C₃×#440	C₂²	1	1	yes	characteristic, complemented
88	C₃×#435	C₂²	1	1	yes	characteristic, complemented
89	C₃×#428	C₂²	1	1	yes	characteristic, complemented
90	C₃×#427	C₂²	1	1	yes	characteristic, complemented
91	#5169	C₂²	1	1	yes	characteristic
92	#5163	C₂²	1	1	yes	characteristic, complemented
93	#5163	C₂²	1	1	yes	characteristic, complemented
94	#5162	C₂²	1	1	yes	characteristic, complemented
95	#5134	C₂²	1	1	yes	characteristic, complemented
96	#5131	C₂²	1	1	yes	characteristic
97	#5127	C₂²	1	1	yes	characteristic, complemented
98	#5119	C₂²	1	1	yes	characteristic, complemented
99	#5114	C₂²	1	1	yes	characteristic, complemented
100	C₂×#821	C₂²	1	1	yes	characteristic
101	C₈×#67	C₂²	1	1	yes	characteristic, complemented
102	#5102	C₂²	1	1	yes	characteristic, complemented
103	#5094	C₂²	1	1	yes	characteristic, complemented
104	#5081	C₂²	1	1	yes	characteristic, complemented
105	#5067	C₂²	1	1	yes	characteristic, complemented
106	#5066	C₂²	1	1	yes	characteristic
107	#5049	C₂²	1	1	yes	characteristic, complemented
108	#5048	C₂²	1	1	yes	characteristic, complemented
109	#5046	C₂²	1	1	yes	characteristic
110	#5046	C₂²	1	1	yes	characteristic
111	#5042	C₂²	1	1	yes	characteristic, complemented
112	#5041	C₂²	1	1	yes	characteristic, complemented
113	#5035	C₂²	1	1	yes	characteristic, complemented
114	#5034	C₂²	1	1	yes	characteristic, complemented
115	#5027	C₂²	1	1	yes	characteristic, complemented
116	#5026	C₂²	1	1	yes	characteristic
117	#5018	C₂²	1	1	yes	characteristic, complemented
118	#5011	C₂²	1	1	yes	characteristic, complemented
119	#5009	C₂²	1	1	yes	characteristic, complemented
120	#5003	C₂²	1	1	yes	characteristic, complemented
121	#5001	C₂²	1	1	yes	characteristic
122	#4998	C₂²	1	1	yes	characteristic, complemented
123	#4996	C₂²	1	1	yes	characteristic, complemented
124	#4996	C₂²	1	1	yes	characteristic, complemented
125	#4995	C₂²	1	1	yes	characteristic, complemented
126	#4967	C₂²	1	1	yes	characteristic, complemented
127	C₂×#809	C₂²	1	1	yes	characteristic
128	#4891	C₂²	1	1	yes	characteristic
129	#4891	C₂²	1	1	yes	characteristic
130	#4891	C₂²	1	1	yes	characteristic, complemented
131	#4891	C₂²	1	1	yes	characteristic, complemented
132	#4891	C₂²	1	1	yes	characteristic, complemented
133	#4890	C₂²	1	1	yes	characteristic
134	#4890	C₂²	1	1	yes	characteristic, complemented
135	#4890	C₂²	1	1	yes	characteristic, complemented
136	#4889	C₂²	1	1	yes	characteristic
137	#4889	C₂²	1	1	yes	characteristic, complemented
138	#4884	C₂²	1	1	yes	characteristic, complemented
139	#4882	C₂²	1	1	yes	characteristic, complemented
140	#4882	C₂²	1	1	yes	characteristic, complemented
141	D₃×#107	C₂²	1	1	yes	characteristic, complemented
142	#4878	C₂²	1	1	yes	characteristic, complemented
143	#4877	C₂²	1	1	yes	characteristic, complemented
144	#4871	C₂²	1	1	yes	characteristic
145	#4871	C₂²	1	1	yes	characteristic
146	#4871	C₂²	1	1	yes	characteristic, complemented
147	#4871	C₂²	1	1	yes	characteristic, complemented
148	#4871	C₂²	1	1	yes	characteristic, complemented
149	#4870	C₂²	1	1	yes	characteristic
150	#4870	C₂²	1	1	yes	characteristic
151	#4870	C₂²	1	1	yes	characteristic, complemented
152	#4870	C₂²	1	1	yes	characteristic, complemented
153	#4864	C₂²	1	1	yes	characteristic, complemented
154	#4864	C₂²	1	1	yes	characteristic, complemented
155	#4863	C₂²	1	1	yes	characteristic, complemented
156	#4863	C₂²	1	1	yes	characteristic, complemented
157	D₃×#106	C₂²	1	1	yes	characteristic, complemented
158	#4858	C₂²	1	1	yes	characteristic, complemented
159	#4857	C₂²	1	1	yes	characteristic, complemented
160	#4856	C₂²	1	1	yes	characteristic, complemented
161	#4856	C₂²	1	1	yes	characteristic, complemented
162	#4852	C₂²	1	1	yes	characteristic
163	#4852	C₂²	1	1	yes	characteristic, complemented
164	#4848	C₂²	1	1	yes	characteristic, complemented
165	#4847	C₂²	1	1	yes	characteristic
166	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#4828	C₂²	1	1	yes	characteristic, complemented
168	#4818	C₂²	1	1	yes	characteristic
169	#4818	C₂²	1	1	yes	characteristic, complemented
170	#4818	C₂²	1	1	yes	characteristic, complemented
171	#4817	C₂²	1	1	yes	characteristic
172	#4817	C₂²	1	1	yes	characteristic, complemented
173	#4811	C₂²	1	1	yes	characteristic, complemented
174	#4807	C₂²	1	1	yes	characteristic, complemented
175	#4807	C₂²	1	1	yes	characteristic, complemented
176	#4799	C₂²	1	1	yes	characteristic, complemented
177	#4796	C₂²	1	1	yes	characteristic, complemented
178	#4788	C₂²	1	1	yes	characteristic
179	#4788	C₂²	1	1	yes	characteristic, complemented
180	#4776	C₂²	1	1	yes	characteristic
181	D₃×#102	C₂²	1	1	yes	characteristic
182	D₃×#102	C₂²	1	1	yes	characteristic
183	#4766	C₂²	1	1	yes	characteristic, complemented
184	#4764	C₂²	1	1	yes	characteristic, complemented
185	#4764	C₂²	1	1	yes	characteristic, complemented
186	#4763	C₂²	1	1	yes	characteristic, complemented
187	#4762	C₂²	1	1	yes	characteristic, complemented
188	#4762	C₂²	1	1	yes	characteristic, complemented
189	#4760	C₂²	1	1	yes	characteristic, complemented
190	#4760	C₂²	1	1	yes	characteristic, complemented
191	#4759	C₂²	1	1	yes	characteristic, complemented
192	#4737	C₂²	1	1	yes	characteristic, complemented
193	#4736	C₂²	1	1	yes	characteristic, complemented
194	#4731	C₂²	1	1	yes	characteristic
195	#4731	C₂²	1	1	yes	characteristic
196	#4728	C₂²	1	1	yes	characteristic, complemented
197	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#4720	C₂²	1	1	yes	characteristic, complemented
199	#4720	C₂²	1	1	yes	characteristic, complemented
200	#4713	C₂²	1	1	yes	characteristic, complemented
201	#4710	C₂²	1	1	yes	characteristic
202	#4705	C₂²	1	1	yes	characteristic, complemented
203	#4701	C₂²	1	1	yes	characteristic, complemented
204	#3563	—	3	1	no	—
205	#3519	—	3	1	no	—
206	#3388	—	3	1	no	—
207	#3388	—	3	1	no	—
208	#3368	—	3	1	no	—
209	#3368	—	3	1	no	—
210	#3348	—	3	1	no	—
211	#3348	D₃	1	1	yes	characteristic, complemented
212	#3346	—	3	1	no	—
213	#3346	—	3	1	no	—
214	#3337	—	3	1	no	—
215	#3337	—	3	1	no	—
216	#3310	—	3	1	no	—
217	#3310	—	3	1	no	—
218	#3310	—	3	1	no	—
219	#3310	—	3	1	no	—
220	#3295	—	3	1	no	—
221	#3295	—	3	1	no	—
222	#3260	—	3	1	no	—
223	#3260	—	3	1	no	—
224	#3246	—	3	1	no	—
225	#3241	—	3	1	no	—
226	#3241	—	3	1	no	—
227	#3234	—	3	1	no	—
228	#3123	—	3	1	no	—
229	#3123	—	3	1	no	—
230	#3110	—	3	1	no	—
231	#3081	—	3	1	no	—
232	#3081	—	3	1	no	—
233	C₂×#478	—	3	1	no	—
234	#2992	—	3	1	no	—
235	C₂×#239	—	2	1	no	—
236	C₂×D₃×D₄	—	2	1	no	—
237	C₂×D₃×D₄	—	2	1	no	—
238	C₂×D₃×D₄	—	2	1	no	—
239	C₂×D₃×D₄	C₂³	1	1	yes	characteristic
240	C₂×#235	—	2	1	no	—
241	C₂²×D₁₂	C₂³	1	1	yes	characteristic
242	C₂²×D₁₂	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₃	—	2	1	no	—
244	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
246	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
247	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
248	C₃×#126	—	2	1	no	—
249	C₃×#125	—	2	1	no	—
250	C₃×#125	C₂³	1	1	yes	characteristic
251	C₃×#124	—	2	1	no	—
252	C₃×#124	—	2	1	no	—
253	C₃×#123	—	2	1	no	—
254	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₃×#121	—	2	1	no	—
257	C₃×#121	C₂³	1	1	yes	characteristic
258	C₃×#121	C₂³	1	1	yes	characteristic
259	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
260	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₃×#117	—	2	1	no	—
263	C₃×#117	—	2	1	no	—
264	C₃×#117	C₂³	1	1	yes	characteristic
265	C₃×#117	C₂³	1	1	yes	characteristic
266	C₃×#117	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	#947	—	2	1	no	—
269	#946	—	2	1	no	—
270	#946	—	2	1	no	—
271	#946	C₂³	1	1	yes	characteristic
272	Q₈×Dic₃	C₂³	1	1	yes	characteristic
273	Q₈×Dic₃	C₂³	1	1	yes	characteristic
274	#944	C₂³	1	1	yes	characteristic
275	C₂×#215	C₂³	1	1	yes	characteristic
276	C₂×#215	C₂³	1	1	yes	characteristic
277	C₂×#215	C₂³	1	1	yes	characteristic
278	#940	C₂³	1	1	yes	characteristic
279	#940	C₂³	1	1	yes	characteristic
280	#939	—	2	1	no	—
281	#939	—	2	1	no	—
282	#938	—	2	1	no	—
283	#938	—	2	1	no	—
284	#938	D₄	1	1	yes	characteristic
285	#937	—	2	1	no	—
286	#937	—	2	1	no	—
287	#936	D₄	1	1	yes	characteristic
288	#935	—	2	1	no	—
289	D₄×Dic₃	C₂³	1	1	yes	characteristic
290	C₂×#214	C₂³	1	1	yes	characteristic
291	#930	—	2	1	no	—
292	#930	C₂³	1	1	yes	characteristic
293	#930	C₂³	1	1	yes	characteristic
294	C₄×#67	—	2	1	no	—
295	C₄×#67	—	2	1	no	—
296	C₄×#67	C₂³	1	1	yes	characteristic
297	C₄×#67	C₂³	1	1	yes	characteristic
298	#926	C₂³	1	1	yes	characteristic
299	#926	C₂³	1	1	yes	characteristic
300	#926	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
302	#924	—	2	1	no	—
303	#924	—	2	1	no	—
304	#924	—	2	1	no	—
305	#924	C₂³	1	1	yes	characteristic
306	#924	C₂³	1	1	yes	characteristic
307	C₂×#208	C₂³	1	1	yes	characteristic
308	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×#204	C₂³	1	1	yes	characteristic
310	C₂×#204	C₂³	1	1	yes	characteristic
311	C₂×#204	C₂³	1	1	yes	characteristic
312	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
313	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
314	#897	—	2	1	no	—
315	#897	—	2	1	no	—
316	#897	D₄	1	1	yes	characteristic
317	#897	C₂³	1	1	yes	characteristic
318	#896	—	2	1	no	—
319	#896	—	2	1	no	—
320	#895	—	2	1	no	—
321	#895	—	2	1	no	—
322	#895	C₂³	1	1	yes	characteristic
323	#895	C₂³	1	1	yes	characteristic
324	#893	—	2	1	no	—
325	#893	C₂³	1	1	yes	characteristic
326	#893	C₂³	1	1	yes	characteristic
327	#893	C₂³	1	1	yes	characteristic
328	#893	C₂³	1	1	yes	characteristic
329	#893	C₂³	1	1	yes	characteristic
330	#893	C₂³	1	1	yes	characteristic
331	#893	C₂³	1	1	yes	characteristic
332	#892	—	2	1	no	—
333	D₃×C₄⋊C₄	—	2	1	no	—
334	D₃×C₄⋊C₄	—	2	1	no	—
335	D₃×C₄⋊C₄	—	2	1	no	—
336	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	D₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	#890	—	2	1	no	—
340	#890	—	2	1	no	—
341	#890	—	2	1	no	—
342	#890	—	2	1	no	—
343	#890	D₄	1	1	yes	characteristic
344	#890	C₂³	1	1	yes	characteristic
345	#890	C₂³	1	1	yes	characteristic
346	#890	C₂³	1	1	yes	characteristic
347	#890	C₂³	1	1	yes	characteristic
348	#890	C₂³	1	1	yes	characteristic
349	#890	C₂³	1	1	yes	characteristic
350	#889	—	2	1	no	—
351	#889	—	2	1	no	—
352	#889	—	2	1	no	—
353	#889	—	2	1	no	—
354	#889	—	2	1	no	—
355	#889	—	2	1	no	—
356	#889	—	2	1	no	—
357	#889	—	2	1	no	—
358	#889	—	2	1	no	—
359	#889	—	2	1	no	—
360	#889	—	2	1	no	—
361	#888	—	2	1	no	—
362	#888	—	2	1	no	—
363	#888	—	2	1	no	—
364	#888	C₂³	1	1	yes	characteristic
365	#888	C₂³	1	1	yes	characteristic
366	#888	C₂³	1	1	yes	characteristic
367	#887	—	2	1	no	—
368	#887	C₂³	1	1	yes	characteristic
369	#887	C₂³	1	1	yes	characteristic
370	#886	—	2	1	no	—
371	#886	—	2	1	no	—
372	#884	—	2	1	no	—
373	#884	—	2	1	no	—
374	#884	—	2	1	no	—
375	#884	—	2	1	no	—
376	#884	—	2	1	no	—
377	#884	—	2	1	no	—
378	#883	—	2	1	no	—
379	#883	—	2	1	no	—
380	#883	—	2	1	no	—
381	#883	—	2	1	no	—
382	#883	—	2	1	no	—
383	#883	—	2	1	no	—
384	#883	D₄	1	1	yes	characteristic
385	#883	D₄	1	1	yes	characteristic
386	#882	—	2	1	no	—
387	#882	—	2	1	no	—
388	#882	—	2	1	no	—
389	#882	—	2	1	no	—
390	#67⋊C₄	—	2	1	no	—
391	#67⋊C₄	—	2	1	no	—
392	D₃×C₂²⋊C₄	—	2	1	no	—
393	D₃×C₂²⋊C₄	—	2	1	no	—
394	D₃×C₂²⋊C₄	—	2	1	no	—
395	D₃×C₂²⋊C₄	—	2	1	no	—
396	D₃×C₂²⋊C₄	—	2	1	no	—
397	#879	—	2	1	no	—
398	#879	—	2	1	no	—
399	#879	—	2	1	no	—
400	#879	—	2	1	no	—
401	#879	—	2	1	no	—
402	#879	—	2	1	no	—
403	#879	—	2	1	no	—
404	#879	D₄	1	1	yes	characteristic
405	#879	D₄	1	1	yes	characteristic
406	#878	—	2	1	no	—
407	#878	—	2	1	no	—
408	#878	—	2	1	no	—
409	#877	—	2	1	no	—
410	#876	—	2	1	no	—
411	#876	—	2	1	no	—
412	#874	C₂³	1	1	yes	characteristic
413	C₄×D₁₂	—	2	1	no	—
414	C₄×D₁₂	—	2	1	no	—
415	C₄×D₁₂	—	2	1	no	—
416	C₄×D₁₂	—	2	1	no	—
417	C₄×D₁₂	—	2	1	no	—
418	C₄×D₁₂	—	2	1	no	—
419	C₄×D₁₂	C₂³	1	1	yes	characteristic
420	#872	—	2	1	no	—
421	#872	—	2	1	no	—
422	C₄²×D₃	C₂³	1	1	yes	characteristic
423	#870	—	2	1	no	—
424	#870	—	2	1	no	—
425	#870	—	2	1	no	—
426	#870	C₂³	1	1	yes	characteristic
427	#869	—	2	1	no	—
428	C₄×Dic₆	—	2	1	no	—
429	C₄×Dic₆	—	2	1	no	—
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	C₂³	1	1	yes	characteristic
432	C₃×#107	C₂³	1	1	yes	characteristic
433	C₃×#107	C₂³	1	1	yes	characteristic
434	C₃×#107	C₂³	1	1	yes	characteristic
435	C₃×#107	C₂³	1	1	yes	characteristic
436	C₃×#106	C₂³	1	1	yes	characteristic
437	C₃×#106	C₂³	1	1	yes	characteristic
438	C₃×#106	C₂³	1	1	yes	characteristic
439	C₃×#106	C₂³	1	1	yes	characteristic
440	C₃×#106	C₂³	1	1	yes	characteristic
441	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×#103	C₂³	1	1	yes	characteristic
443	C₃×#103	C₂³	1	1	yes	characteristic
444	C₃×#103	C₂³	1	1	yes	characteristic
445	C₃×#102	C₂³	1	1	yes	characteristic
446	C₃×#102	C₂³	1	1	yes	characteristic
447	C₃×#102	C₂³	1	1	yes	characteristic
448	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
449	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
450	C₃×#97	C₂³	1	1	yes	characteristic
451	#835	C₂³	1	1	yes	characteristic
452	#832	C₂³	1	1	yes	characteristic
453	#832	C₂³	1	1	yes	characteristic
454	#832	C₂³	1	1	yes	characteristic
455	#830	C₂³	1	1	yes	characteristic
456	#830	C₂³	1	1	yes	characteristic
457	#821	C₂³	1	1	yes	characteristic
458	#821	C₂³	1	1	yes	characteristic
459	#821	C₂³	1	1	yes	characteristic
460	#821	C₂³	1	1	yes	characteristic
461	#821	C₂³	1	1	yes	characteristic
462	#821	C₂³	1	1	yes	characteristic
463	#821	C₂³	1	1	yes	characteristic
464	#821	C₂³	1	1	yes	characteristic
465	#821	C₂³	1	1	yes	characteristic
466	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
468	#818	C₂³	1	1	yes	characteristic
469	#818	C₂³	1	1	yes	characteristic
470	#817	C₂³	1	1	yes	characteristic
471	#816	C₂³	1	1	yes	characteristic
472	#815	C₂³	1	1	yes	characteristic
473	#815	C₂³	1	1	yes	characteristic
474	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
475	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
476	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
478	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
479	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
480	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
481	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
482	C₈×Dic₃	C₂³	1	1	yes	characteristic
483	C₈×Dic₃	C₂³	1	1	yes	characteristic
484	#810	C₂³	1	1	yes	characteristic
485	#810	C₂³	1	1	yes	characteristic
486	#810	C₂³	1	1	yes	characteristic
487	#809	C₂³	1	1	yes	characteristic
488	#809	C₂³	1	1	yes	characteristic
489	#809	C₂³	1	1	yes	characteristic
490	#809	C₂³	1	1	yes	characteristic
491	#809	C₂³	1	1	yes	characteristic
492	#809	C₂³	1	1	yes	characteristic
493	#809	C₂³	1	1	yes	characteristic
494	#809	C₂³	1	1	yes	characteristic
495	#809	C₂³	1	1	yes	characteristic
496	#808	C₂³	1	1	yes	characteristic
497	#808	C₂³	1	1	yes	characteristic
498	#808	C₂³	1	1	yes	characteristic
499	#808	C₂³	1	1	yes	characteristic
500	#808	C₂³	1	1	yes	characteristic
501	#808	C₂³	1	1	yes	characteristic
502	#807	C₂³	1	1	yes	characteristic
503	#807	C₂³	1	1	yes	characteristic
504	#807	C₂³	1	1	yes	characteristic
505	#807	C₂³	1	1	yes	characteristic
506	#807	C₂³	1	1	yes	characteristic
507	#807	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	#803	C₂³	1	1	yes	characteristic
510	#564	—	6	1	no	—
511	#563	—	6	1	no	—
512	#557	—	3	1	no	—
513	#557	—	3	1	no	—
514	#555	C₂×D₃	1	1	yes	characteristic
515	#554	—	3	1	no	—
516	#554	—	3	1	no	—
517	#554	—	3	1	no	—
518	#553	—	3	1	no	—
519	#553	—	3	1	no	—
520	#553	—	6	1	no	—
521	#552	—	3	1	no	—
522	#552	—	3	1	no	—
523	#552	—	3	1	no	—
524	#552	—	6	1	no	—
525	#552	—	6	1	no	—
526	#552	C₂×D₃	1	1	yes	characteristic, complemented
527	#550	—	3	1	no	—
528	#546	—	6	1	no	—
529	#546	—	6	1	no	—
530	#546	—	6	1	no	—
531	D₄²	—	3	1	no	—
532	D₄²	—	3	1	no	—
533	D₄²	—	3	1	no	—
534	#544	—	3	1	no	—
535	#544	—	3	1	no	—
536	#544	—	6	1	no	—
537	#541	—	3	1	no	—
538	#541	—	3	1	no	—
539	#541	—	6	1	no	—
540	#541	—	6	1	no	—
541	#540	—	3	1	no	—
542	#540	—	3	1	no	—
543	#539	—	6	1	no	—
544	#538	—	6	1	no	—
545	#538	—	6	1	no	—
546	#533	—	3	1	no	—
547	#532	—	3	1	no	—
548	#529	—	3	1	no	—
549	C₂×#125	—	3	1	no	—
550	#525	—	6	1	no	—
551	C₂×#121	—	6	1	no	—
552	#518	—	3	1	no	—
553	#518	—	3	1	no	—
554	C₂×C₄×D₄	—	3	1	no	—
555	#501	—	3	1	no	—
556	#501	—	3	1	no	—
557	#501	—	3	1	no	—
558	#501	C₂×D₃	1	1	yes	characteristic, complemented
559	#499	—	3	1	no	—
560	#499	—	3	1	no	—
561	#490	—	3	1	no	—
562	#490	—	3	1	no	—
563	#490	—	3	1	no	—
564	#490	—	3	1	no	—
565	#486	—	3	1	no	—
566	#486	—	3	1	no	—
567	#485	—	3	1	no	—
568	#485	—	3	1	no	—
569	#485	C₂×D₃	1	1	yes	characteristic, complemented
570	#485	C₂×D₃	1	1	yes	characteristic, complemented
571	#484	—	3	1	no	—
572	#484	—	3	1	no	—
573	#482	—	3	1	no	—
574	#482	—	3	1	no	—
575	#482	—	3	1	no	—
576	#482	C₂×D₃	1	1	yes	characteristic, complemented
577	#481	—	3	1	no	—
578	#481	—	3	1	no	—
579	#481	—	3	1	no	—
580	#481	C₂×D₃	1	1	yes	characteristic, complemented
581	#480	—	3	1	no	—
582	#480	—	3	1	no	—
583	#480	—	3	1	no	—
584	#480	—	3	1	no	—
585	#479	—	3	1	no	—
586	#479	—	3	1	no	—
587	#479	—	3	1	no	—
588	#479	—	3	1	no	—
589	#478	—	3	1	no	—
590	#478	—	3	1	no	—
591	#478	—	3	1	no	—
592	#478	—	3	1	no	—
593	#478	—	3	1	no	—
594	#478	—	3	1	no	—
595	#478	—	3	1	no	—
596	#478	—	3	1	no	—
597	#478	—	3	1	no	—
598	#478	—	3	1	no	—
599	#478	—	3	1	no	—
600	#478	—	3	1	no	—
601	#478	—	3	1	no	—
602	#478	—	3	1	no	—
603	#478	—	3	1	no	—
604	#478	C₂×D₃	1	1	yes	characteristic, complemented
605	#476	—	3	1	no	—
606	#476	—	3	1	no	—
607	#476	—	3	1	no	—
608	#476	—	3	1	no	—
609	#475	—	3	1	no	—
610	#475	C₂×D₃	1	1	yes	characteristic, complemented
611	#474	—	3	1	no	—
612	#474	—	3	1	no	—
613	#474	—	3	1	no	—
614	#474	—	3	1	no	—
615	#468	—	3	1	no	—
616	#468	—	3	1	no	—
617	#468	—	3	1	no	—
618	#468	C₂×D₃	1	1	yes	characteristic, complemented
619	#465	—	3	1	no	—
620	#465	—	3	1	no	—
621	#465	—	3	1	no	—
622	#465	—	3	1	no	—
623	#465	—	3	1	no	—
624	#465	—	3	1	no	—
625	#465	—	3	1	no	—
626	#465	C₂×D₃	1	1	yes	characteristic, complemented
627	#461	—	3	1	no	—
628	#461	—	3	1	no	—
629	#461	—	3	1	no	—
630	#461	—	3	1	no	—
631	#460	—	3	1	no	—
632	#460	—	3	1	no	—
633	#460	—	3	1	no	—
634	#460	—	3	1	no	—
635	#460	—	3	1	no	—
636	#460	—	3	1	no	—
637	#450	—	3	1	no	—
638	#450	—	3	1	no	—
639	#450	—	3	1	no	—
640	#450	—	3	1	no	—
641	#450	—	3	1	no	—
642	#450	—	3	1	no	—
643	#446	—	3	1	no	—
644	#446	—	3	1	no	—
645	#440	—	3	1	no	—
646	#440	—	3	1	no	—
647	#440	—	3	1	no	—
648	#440	—	3	1	no	—
649	#440	—	3	1	no	—
650	#440	—	3	1	no	—
651	#440	—	3	1	no	—
652	#440	C₂×D₃	1	1	yes	characteristic, complemented
653	C₄×SD₁₆	—	3	1	no	—
654	C₄×SD₁₆	—	3	1	no	—
655	C₄×SD₁₆	—	3	1	no	—
656	C₄×SD₁₆	—	3	1	no	—
657	#435	—	3	1	no	—
658	#435	—	3	1	no	—
659	#435	—	3	1	no	—
660	#435	C₂×D₃	1	1	yes	characteristic, complemented
661	C₈×D₄	—	3	1	no	—
662	C₈×D₄	—	3	1	no	—
663	#433	—	3	1	no	—
664	#433	—	3	1	no	—
665	#432	—	3	1	no	—
666	#428	—	3	1	no	—
667	#428	C₂×D₃	1	1	yes	characteristic, complemented
668	#427	—	3	1	no	—
669	#427	C₂×D₃	1	1	yes	characteristic, complemented
670	C₂×#107	—	3	1	no	—
671	C₂×#106	—	3	1	no	—
672	#424	—	3	1	no	—
673	#424	—	3	1	no	—
674	C₂×C₄⋊C₈	—	3	1	no	—
675	#418	—	3	1	no	—
676	#418	—	3	1	no	—
677	C₂×#102	—	3	1	no	—
678	C₂×#102	—	3	1	no	—
679	C₂×#102	—	3	1	no	—
680	C₂×#102	—	3	1	no	—
681	C₂³×D₃	—	2	1	no	—
682	C₂³×D₃	—	2	1	no	—
683	C₂³×D₃	—	2	1	no	—
684	C₂×C₃×Q₈	—	2	1	no	—
685	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
686	C₂×C₃×D₄	—	2	1	no	—
687	C₂×C₃×D₄	—	2	1	no	—
688	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
689	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
690	C₂²×C₃×C₄	—	2	1	no	—
691	C₂²×C₃×C₄	—	2	1	no	—
692	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
693	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
694	C₂×#67	—	2	1	no	—
695	C₂×#67	—	2	1	no	—
696	C₂×#67	—	2	1	no	—
697	C₂×#67	—	2	1	no	—
698	C₂×#67	—	2	1	no	—
699	C₂×#67	—	2	1	no	—
700	C₂×#67	—	2	1	no	—
701	C₂×#67	C₂×D₄	1	1	yes	characteristic
702	C₂×#67	C₂×D₄	1	1	yes	characteristic
703	C₂²×Dic₃	—	2	1	no	—
704	C₂²×Dic₃	—	2	1	no	—
705	#239	—	8	2	no	—
706	D₃×D₄	—	2	2	no	—
707	D₃×D₄	—	4	1	no	—
708	D₃×D₄	—	8	2	no	—
709	D₃×D₄	—	8	2	no	—
710	D₃×D₄	—	8	2	no	—
711	#235	—	8	2	no	—
712	C₂×D₁₂	—	2	2	no	—
713	C₂×D₁₂	—	2	2	no	—
714	C₂×D₁₂	—	2	1	no	—
715	C₂×D₁₂	—	2	1	no	—
716	C₂×D₁₂	—	2	1	no	—
717	C₂×D₁₂	—	2	1	no	—
718	C₂×D₁₂	—	2	1	no	—
719	C₂×D₁₂	—	2	1	no	—
720	C₂×D₁₂	—	4	1	no	—
721	C₂×D₁₂	—	4	1	no	—
722	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
723	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
724	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
725	C₂×C₄×D₃	—	2	1	no	—
726	C₂×C₄×D₃	—	2	1	no	—
727	C₂×C₄×D₃	—	2	1	no	—
728	C₂×C₄×D₃	—	2	1	no	—
729	C₂×C₄×D₃	—	2	1	no	—
730	C₂×C₄×D₃	—	2	1	no	—
731	C₂×C₄×D₃	—	2	1	no	—
732	C₂×C₄×D₃	—	2	1	no	—
733	C₂×C₄×D₃	—	2	1	no	—
734	C₂×C₄×D₃	—	2	1	no	—
735	C₂×C₄×D₃	—	2	1	no	—
736	C₂×C₄×D₃	—	8	2	no	—
737	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
738	C₂×C₄×D₃	C₂×D₄	1	1	yes	characteristic
739	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
740	C₂×Dic₆	—	2	1	no	—
741	C₂×Dic₆	—	2	1	no	—
742	C₂×Dic₆	—	2	1	no	—
743	C₂×Dic₆	C₂×D₄	1	1	yes	characteristic
744	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
745	C₃×SD₁₆	—	4	1	no	—
746	C₃×M₁₆	—	4	1	no	—
747	C₂×C₃×C₈	—	4	1	no	—
748	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
749	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
750	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
751	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
752	C₃×C₄⋊C₄	—	2	1	no	—
753	C₃×C₄⋊C₄	—	2	1	no	—
754	C₃×C₄⋊C₄	—	2	1	no	—
755	C₃×C₄⋊C₄	—	2	1	no	—
756	C₃×C₄⋊C₄	—	2	1	no	—
757	C₃×C₄⋊C₄	—	2	1	no	—
758	C₃×C₄⋊C₄	—	2	1	no	—
759	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
760	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
761	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
762	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
763	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
764	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
765	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
766	C₃×C₂²⋊C₄	—	2	1	no	—
767	C₃×C₂²⋊C₄	—	2	1	no	—
768	C₃×C₂²⋊C₄	—	2	1	no	—
769	C₃×C₂²⋊C₄	—	2	1	no	—
770	C₃×C₂²⋊C₄	—	2	1	no	—
771	C₃×C₂²⋊C₄	—	2	1	no	—
772	C₃×C₂²⋊C₄	—	2	1	no	—
773	C₃×C₂²⋊C₄	—	2	1	no	—
774	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
775	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
776	C₃×C₄²	—	2	1	no	—
777	C₃×C₄²	—	2	1	no	—
778	C₃×C₄²	—	2	1	no	—
779	C₃×C₄²	—	2	1	no	—
780	C₃×C₄²	C₂⁴	1	1	yes	characteristic
781	#217	—	2	1	no	—
782	#217	—	2	1	no	—
783	#217	—	2	1	no	—
784	#217	—	2	1	no	—
785	#217	C₂×D₄	1	1	yes	characteristic
786	#217	C₂×D₄	1	1	yes	characteristic
787	#217	C₂×D₄	1	1	yes	characteristic
788	#217	C₂×D₄	1	1	yes	characteristic
789	#217	C₂×D₄	1	1	yes	characteristic
790	#217	C₂×D₄	1	1	yes	characteristic
791	#215	—	2	2	no	—
792	#215	—	4	1	no	—
793	#215	—	4	1	no	—
794	#214	—	4	1	no	—
795	(C₂×D₃)⋊C₄	—	2	1	no	—
796	(C₂×D₃)⋊C₄	—	2	1	no	—
797	(C₂×D₃)⋊C₄	—	2	1	no	—
798	(C₂×D₃)⋊C₄	—	2	1	no	—
799	(C₂×D₃)⋊C₄	—	2	1	no	—
800	(C₂×D₃)⋊C₄	—	2	1	no	—
801	(C₂×D₃)⋊C₄	—	2	1	no	—
802	(C₂×D₃)⋊C₄	—	2	1	no	—
803	(C₂×D₃)⋊C₄	—	2	1	no	—
804	(C₂×D₃)⋊C₄	—	2	1	no	—
805	(C₂×D₃)⋊C₄	—	2	1	no	—
806	(C₂×D₃)⋊C₄	—	2	1	no	—
807	(C₂×D₃)⋊C₄	—	2	1	no	—
808	(C₂×D₃)⋊C₄	—	2	1	no	—
809	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
810	(C₂×D₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
811	C₄⋊Dic₃	—	2	1	no	—
812	C₄⋊Dic₃	—	2	1	no	—
813	C₄⋊Dic₃	—	2	1	no	—
814	C₄⋊Dic₃	—	2	1	no	—
815	C₄⋊Dic₃	—	2	1	no	—
816	C₄⋊Dic₃	—	2	1	no	—
817	C₄⋊Dic₃	—	2	1	no	—
818	C₄⋊Dic₃	—	2	1	no	—
819	C₄⋊Dic₃	—	2	1	no	—
820	C₄⋊Dic₃	—	2	1	no	—
821	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
822	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
823	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
824	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
825	C₄⋊Dic₃	C₂×D₄	1	1	yes	characteristic
826	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
827	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
828	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
829	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
830	Dic₃⋊C₄	—	2	1	no	—
831	Dic₃⋊C₄	—	2	1	no	—
832	Dic₃⋊C₄	—	2	1	no	—
833	Dic₃⋊C₄	—	2	1	no	—
834	Dic₃⋊C₄	—	2	1	no	—
835	Dic₃⋊C₄	—	2	1	no	—
836	Dic₃⋊C₄	—	2	1	no	—
837	Dic₃⋊C₄	—	2	1	no	—
838	Dic₃⋊C₄	—	2	1	no	—
839	Dic₃⋊C₄	—	2	1	no	—
840	Dic₃⋊C₄	—	2	1	no	—
841	Dic₃⋊C₄	—	2	1	no	—
842	Dic₃⋊C₄	—	2	1	no	—
843	Dic₃⋊C₄	—	2	1	no	—
844	Dic₃⋊C₄	—	2	1	no	—
845	Dic₃⋊C₄	—	2	1	no	—
846	Dic₃⋊C₄	—	2	1	no	—
847	Dic₃⋊C₄	—	2	1	no	—
848	Dic₃⋊C₄	—	2	1	no	—
849	Dic₃⋊C₄	—	2	1	no	—
850	Dic₃⋊C₄	—	2	1	no	—
851	Dic₃⋊C₄	—	2	1	no	—
852	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
853	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂×D₄	1	1	yes	characteristic
856	C₄×Dic₃	—	2	1	no	—
857	C₄×Dic₃	—	2	1	no	—
858	C₄×Dic₃	—	2	1	no	—
859	C₄×Dic₃	—	2	1	no	—
860	C₄×Dic₃	—	2	1	no	—
861	C₄×Dic₃	—	2	1	no	—
862	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
863	C₄×Dic₃	C₂×D₄	1	1	yes	characteristic
864	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
865	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
866	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
867	#208	—	4	1	no	—
868	C₂×C₃⋊C₈	—	4	1	no	—
869	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
870	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
871	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
872	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
873	#204	—	2	2	no	—
874	#204	—	4	1	no	—
875	#204	—	4	1	no	—
876	D₃×C₈	—	4	1	no	—
877	D₃×C₈	—	4	1	no	—
878	C₂×#41	—	6	1	no	—
879	C₂×#41	—	6	1	no	—
880	C₂²×D₄	—	3	1	no	—
881	C₂²×D₄	—	3	1	no	—
882	C₂²×D₄	—	3	1	no	—
883	C₂²×D₄	—	6	1	no	—
884	C₂²×D₄	—	6	1	no	—
885	C₂²×D₄	—	6	1	no	—
886	C₂³×C₄	—	6	1	no	—
887	C₂×SD₁₆	—	3	1	no	—
888	C₂×SD₁₆	—	3	1	no	—
889	C₂×SD₁₆	—	3	1	no	—
890	C₂×SD₁₆	—	3	1	no	—
891	C₂×SD₁₆	—	3	1	no	—
892	C₂×SD₁₆	—	3	1	no	—
893	C₂×SD₁₆	—	3	1	no	—
894	C₂×SD₁₆	C₂²×D₃	1	1	yes	characteristic
895	C₂×M₁₆	—	3	1	no	—
896	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
897	C₂²×C₈	—	3	1	no	—
898	C₂²×C₈	—	3	1	no	—
899	C₂²×C₈	—	3	1	no	—
900	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
901	C₄⋊Q₈	—	3	1	no	—
902	C₄⋊Q₈	—	3	1	no	—
903	C₄⋊Q₈	—	3	1	no	—
904	C₄⋊Q₈	—	3	1	no	—
905	C₄⋊Q₈	—	6	1	no	—
906	C₄⋊Q₈	—	6	1	no	—
907	C₄⋊Q₈	—	6	1	no	—
908	C₄⋊Q₈	—	6	1	no	—
909	C₄⋊Q₈	C₂²×D₃	1	1	yes	characteristic
910	#127	—	3	1	no	—
911	#127	—	3	1	no	—
912	#127	—	3	1	no	—
913	#126	—	2	1	no	—
914	#126	—	3	1	no	—
915	#126	—	3	1	no	—
916	#126	—	6	1	no	—
917	#126	—	6	1	no	—
918	#126	—	6	1	no	—
919	#126	—	6	1	no	—
920	#126	—	6	1	no	—
921	#126	—	6	1	no	—
922	#126	—	6	1	no	—
923	#126	—	6	1	no	—
924	#126	—	6	1	no	—
925	#125	—	2	1	no	—
926	#125	—	3	1	no	—
927	#125	—	3	1	no	—
928	#125	—	3	1	no	—
929	#125	—	3	1	no	—
930	#125	—	3	1	no	—
931	#125	—	3	1	no	—
932	#125	—	3	1	no	—
933	#125	—	3	1	no	—
934	#125	—	6	1	no	—
935	#125	—	6	1	no	—
936	#125	—	6	1	no	—
937	#125	—	6	1	no	—
938	#125	—	6	1	no	—
939	#125	—	6	1	no	—
940	#125	—	6	1	no	—
941	#125	—	6	1	no	—
942	#125	—	6	1	no	—
943	#125	—	6	1	no	—
944	#125	—	6	1	no	—
945	#125	—	6	1	no	—
946	#125	—	6	1	no	—
947	#125	—	6	1	no	—
948	#125	—	6	1	no	—
949	#125	—	6	1	no	—
950	#125	—	6	1	no	—
951	#125	—	6	1	no	—
952	#125	C₂²×D₃	1	1	yes	characteristic
953	#124	—	2	1	no	—
954	#124	—	2	1	no	—
955	#124	—	3	1	no	—
956	#124	—	6	1	no	—
957	#123	—	2	1	no	—
958	#123	—	3	1	no	—
959	#123	—	3	1	no	—
960	#123	—	6	1	no	—
961	#123	—	6	1	no	—
962	#123	—	6	1	no	—
963	#123	—	6	1	no	—
964	#123	—	6	1	no	—
965	#123	—	6	1	no	—
966	#123	—	6	1	no	—
967	#123	—	6	1	no	—
968	#123	—	6	1	no	—
969	C₂²⋊Q₈	—	3	1	no	—
970	C₂²⋊Q₈	—	3	1	no	—
971	C₂²⋊Q₈	—	3	1	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	1	no	—
974	C₂²⋊Q₈	—	6	1	no	—
975	C₂²⋊Q₈	—	6	1	no	—
976	C₂²⋊Q₈	—	6	1	no	—
977	C₂²⋊Q₈	—	6	1	no	—
978	C₂²⋊Q₈	—	6	1	no	—
979	C₂²⋊Q₈	—	6	1	no	—
980	C₂²⋊Q₈	—	6	1	no	—
981	C₂²⋊Q₈	—	6	1	no	—
982	C₂²⋊Q₈	—	6	1	no	—
983	C₂²⋊Q₈	—	6	1	no	—
984	C₂²⋊Q₈	—	6	1	no	—
985	C₂²⋊Q₈	—	6	1	no	—
986	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
987	C₂²⋊Q₈	C₂²×D₃	1	1	yes	characteristic
988	#121	—	2	1	no	—
989	#121	—	3	1	no	—
990	#121	—	3	1	no	—
991	#121	—	3	1	no	—
992	#121	—	3	1	no	—
993	#121	—	3	1	no	—
994	#121	—	6	1	no	—
995	#121	—	6	1	no	—
996	#121	—	6	1	no	—
997	#121	—	6	1	no	—
998	#121	—	6	1	no	—
999	#121	—	6	1	no	—
1000	#121	—	6	1	no	—
1001	#121	—	6	1	no	—
1002	#121	—	6	1	no	—
1003	#121	—	6	1	no	—
1004	#121	—	6	1	no	—
1005	#121	—	6	1	no	—
1006	#121	—	6	1	no	—
1007	#121	C₂²×D₃	1	1	yes	characteristic
1008	#121	C₂²×D₃	1	1	yes	characteristic
1009	#120	—	6	1	no	—
1010	#120	—	6	1	no	—
1011	#120	—	6	1	no	—
1012	#120	—	6	1	no	—
1013	#120	—	6	1	no	—
1014	#120	—	6	1	no	—
1015	C₄×Q₈	—	3	1	no	—
1016	C₄×Q₈	—	3	1	no	—
1017	C₄×Q₈	—	3	1	no	—
1018	C₄×Q₈	—	3	1	no	—
1019	C₄×Q₈	—	3	1	no	—
1020	C₄×Q₈	—	3	1	no	—
1021	C₄×Q₈	—	6	1	no	—
1022	C₄×Q₈	—	6	1	no	—
1023	C₄×Q₈	—	6	1	no	—
1024	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
1025	C₄×D₄	—	3	1	no	—
1026	C₄×D₄	—	3	1	no	—
1027	C₄×D₄	—	3	1	no	—
1028	C₄×D₄	—	3	1	no	—
1029	C₄×D₄	—	3	1	no	—
1030	C₄×D₄	—	3	1	no	—
1031	C₄×D₄	—	3	1	no	—
1032	C₄×D₄	—	3	1	no	—
1033	C₄×D₄	—	3	1	no	—
1034	C₄×D₄	—	3	1	no	—
1035	C₄×D₄	—	3	1	no	—
1036	C₄×D₄	—	6	1	no	—
1037	C₄×D₄	—	6	1	no	—
1038	C₄×D₄	—	6	1	no	—
1039	C₄×D₄	—	6	1	no	—
1040	C₄×D₄	—	6	1	no	—
1041	C₄×D₄	—	6	1	no	—
1042	C₄×D₄	—	6	1	no	—
1043	C₄×D₄	—	6	1	no	—
1044	C₄×D₄	—	6	1	no	—
1045	C₄×D₄	—	6	1	no	—
1046	C₄×D₄	—	6	1	no	—
1047	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1048	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1049	#117	—	2	1	no	—
1050	#117	—	2	1	no	—
1051	#117	—	3	1	no	—
1052	#117	—	3	1	no	—
1053	#117	—	3	1	no	—
1054	#117	—	6	1	no	—
1055	#117	—	6	1	no	—
1056	#117	—	6	1	no	—
1057	#117	—	6	1	no	—
1058	#117	C₂²×D₃	1	1	yes	characteristic
1059	#117	C₂²×D₃	1	1	yes	characteristic
1060	#117	C₂²×D₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	—	3	1	no	—
1062	C₂×C₄⋊C₄	—	3	1	no	—
1063	C₂×C₄⋊C₄	—	3	1	no	—
1064	C₂×C₄⋊C₄	—	3	1	no	—
1065	C₂×C₄⋊C₄	—	6	1	no	—
1066	C₂×C₄⋊C₄	—	6	1	no	—
1067	C₂×C₄⋊C₄	—	6	1	no	—
1068	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	—	6	1	no	—
1070	C₂×C₂²⋊C₄	—	6	1	no	—
1071	C₂×C₂²⋊C₄	—	6	1	no	—
1072	C₂×C₂²⋊C₄	—	6	1	no	—
1073	C₂×C₂²⋊C₄	—	6	1	no	—
1074	C₂×C₄²	—	3	1	no	—
1075	#107	—	3	1	no	—
1076	#107	—	3	1	no	—
1077	#107	—	3	1	no	—
1078	#107	—	3	1	no	—
1079	#107	—	3	1	no	—
1080	#107	—	3	1	no	—
1081	#107	—	3	1	no	—
1082	#107	—	3	1	no	—
1083	#107	C₂²×D₃	1	1	yes	characteristic
1084	#107	C₂²×D₃	1	1	yes	characteristic
1085	#107	C₂²×D₃	1	1	yes	characteristic
1086	#107	C₂²×D₃	1	1	yes	characteristic
1087	#106	—	3	1	no	—
1088	#106	—	3	1	no	—
1089	#106	—	3	1	no	—
1090	#106	—	3	1	no	—
1091	#106	—	3	1	no	—
1092	#106	—	3	1	no	—
1093	#106	—	3	1	no	—
1094	#106	C₂²×D₃	1	1	yes	characteristic
1095	#106	C₂²×D₃	1	1	yes	characteristic
1096	#106	C₂²×D₃	1	1	yes	characteristic
1097	#106	C₂²×D₃	1	1	yes	characteristic
1098	#106	C₂²×D₃	1	1	yes	characteristic
1099	C₄⋊C₈	—	3	1	no	—
1100	C₄⋊C₈	—	3	1	no	—
1101	C₄⋊C₈	—	3	1	no	—
1102	C₄⋊C₈	—	3	1	no	—
1103	C₄⋊C₈	—	3	1	no	—
1104	C₄⋊C₈	—	3	1	no	—
1105	C₄⋊C₈	—	3	1	no	—
1106	C₄⋊C₈	—	3	1	no	—
1107	C₄⋊C₈	—	3	1	no	—
1108	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1109	#103	—	3	1	no	—
1110	#103	—	3	1	no	—
1111	#103	—	3	1	no	—
1112	#103	—	3	1	no	—
1113	#103	—	3	1	no	—
1114	#103	C₂²×D₃	1	1	yes	characteristic
1115	#103	C₂²×D₃	1	1	yes	characteristic
1116	#103	C₂²×D₃	1	1	yes	characteristic
1117	#102	—	3	1	no	—
1118	#102	—	3	1	no	—
1119	#102	—	3	1	no	—
1120	#102	—	3	1	no	—
1121	#102	—	3	1	no	—
1122	#102	—	3	1	no	—
1123	#102	—	3	1	no	—
1124	#102	—	3	1	no	—
1125	#102	—	3	1	no	—
1126	#102	—	3	1	no	—
1127	#102	—	3	1	no	—
1128	#102	—	3	1	no	—
1129	#102	—	3	1	no	—
1130	#102	—	3	1	no	—
1131	#102	—	3	1	no	—
1132	#102	—	3	1	no	—
1133	#102	—	3	1	no	—
1134	#102	—	3	1	no	—
1135	#102	—	3	1	no	—
1136	#102	—	3	1	no	—
1137	#102	—	3	1	no	—
1138	#102	C₂²×D₃	1	1	yes	characteristic
1139	#102	C₂²×D₃	1	1	yes	characteristic
1140	#102	C₂²×D₃	1	1	yes	characteristic
1141	C₂²⋊C₈	—	3	1	no	—
1142	C₂²⋊C₈	—	3	1	no	—
1143	C₂²⋊C₈	—	3	1	no	—
1144	C₂²⋊C₈	—	3	1	no	—
1145	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1146	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1147	#97	—	3	1	no	—
1148	#97	—	3	1	no	—
1149	#97	—	3	1	no	—
1150	#97	C₂²×D₃	1	1	yes	characteristic
1151	C₄×C₈	—	3	1	no	—
1152	C₄×C₈	—	3	1	no	—
1153	C₂³×C₃	—	2	1	no	—
1154	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1155	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1156	C₂²×D₃	—	2	1	no	—
1157	C₂²×D₃	—	2	1	no	—
1158	C₂²×D₃	—	2	1	no	—
1159	C₂²×D₃	—	4	2	no	—
1160	C₂²×D₃	—	4	2	no	—
1161	C₂²×D₃	—	4	2	no	—
1162	C₂²×D₃	—	4	2	no	—
1163	C₂²×D₃	—	8	1	no	—
1164	C₂²×D₃	—	8	1	no	—
1165	C₂²×D₃	—	8	1	no	—
1166	C₂²×D₃	—	8	1	no	—
1167	C₂²×D₃	—	8	1	no	—
1168	C₂²×D₃	C₂²×D₄	1	1	yes	characteristic
1169	C₃×Q₈	—	2	1	no	—
1170	C₃×Q₈	—	2	1	no	—
1171	C₃×Q₈	—	8	1	no	—
1172	C₃×D₄	—	2	1	no	—
1173	C₃×D₄	—	2	1	no	—
1174	C₃×D₄	—	4	1	no	—
1175	C₃×D₄	—	8	1	no	—
1176	C₃×D₄	—	8	1	no	—
1177	C₂×C₃×C₄	—	2	1	no	—
1178	C₂×C₃×C₄	—	2	1	no	—
1179	C₂×C₃×C₄	—	2	1	no	—
1180	C₂×C₃×C₄	—	2	1	no	—
1181	C₂×C₃×C₄	—	2	1	no	—
1182	C₂×C₃×C₄	—	2	1	no	—
1183	C₂×C₃×C₄	—	2	1	no	—
1184	C₂×C₃×C₄	—	2	1	no	—
1185	C₂×C₃×C₄	—	2	1	no	—
1186	C₂×C₃×C₄	—	2	1	no	—
1187	C₂×C₃×C₄	—	2	1	no	—
1188	C₂×C₃×C₄	—	4	2	no	—
1189	C₂×C₃×C₄	—	8	1	no	—
1190	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1191	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1192	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1193	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1194	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1195	#67	—	2	2	no	—
1196	#67	—	2	2	no	—
1197	#67	—	4	2	no	—
1198	#67	—	8	1	no	—
1199	#67	—	8	1	no	—
1200	#67	—	8	1	no	—
1201	#67	—	8	1	no	—
1202	#67	—	8	1	no	—
1203	#67	—	8	1	no	—
1204	C₂×Dic₃	—	2	1	no	—
1205	C₂×Dic₃	—	2	1	no	—
1206	C₂×Dic₃	—	2	1	no	—
1207	C₂×Dic₃	—	2	1	no	—
1208	C₂×Dic₃	—	2	1	no	—
1209	C₂×Dic₃	—	8	1	no	—
1210	C₂×Dic₃	—	8	1	no	—
1211	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1212	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1213	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1214	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1215	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1216	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1217	C₂×Dic₃	C₂²×D₄	1	1	yes	characteristic
1218	D₁₂	—	2	1	no	—
1219	D₁₂	—	2	1	no	—
1220	D₁₂	—	2	1	no	—
1221	D₁₂	—	2	1	no	—
1222	D₁₂	—	2	1	no	—
1223	D₁₂	—	4	2	no	—
1224	D₁₂	—	4	2	no	—
1225	D₁₂	—	4	2	no	—
1226	D₁₂	—	4	2	no	—
1227	D₁₂	—	4	2	no	—
1228	D₁₂	—	8	1	no	—
1229	D₁₂	2₋¹⁺⁴	1	2	yes	—
1230	C₄×D₃	—	2	2	no	—
1231	C₄×D₃	—	2	1	no	—
1232	C₄×D₃	—	2	1	no	—
1233	C₄×D₃	—	4	1	no	—
1234	C₄×D₃	—	4	2	no	—
1235	C₄×D₃	—	4	2	no	—
1236	C₄×D₃	—	8	1	no	—
1237	C₄×D₃	—	8	1	no	—
1238	C₄×D₃	—	8	1	no	—
1239	C₄×D₃	—	8	1	no	—
1240	C₄×D₃	—	8	1	no	—
1241	C₄×D₃	—	8	1	no	—
1242	C₄×D₃	—	8	1	no	—
1243	C₄×D₃	—	8	1	no	—
1244	C₄×D₃	—	8	1	no	—
1245	Dic₆	—	2	1	no	—
1246	Dic₆	—	2	1	no	—
1247	Dic₆	—	4	1	no	—
1248	Dic₆	—	8	1	no	—
1249	Dic₆	—	8	1	no	—
1250	Dic₆	—	8	1	no	—
1251	C₃×C₈	—	2	1	no	—
1252	C₃×C₈	—	2	1	no	—
1253	C₃×C₈	—	2	1	no	—
1254	C₃×C₈	—	2	1	no	—
1255	C₃⋊C₈	—	2	1	no	—
1256	C₃⋊C₈	—	2	1	no	—
1257	C₃⋊C₈	—	2	1	no	—
1258	C₃⋊C₈	—	2	1	no	—
1259	C₂⁴	—	6	1	no	—
1260	C₂⁴	—	6	1	no	—
1261	C₂⁴	—	6	1	no	—
1262	#41	—	24	2	no	—
1263	#41	—	24	2	no	—
1264	C₂×Q₈	—	2	1	no	—
1265	C₂×Q₈	—	3	1	no	—
1266	C₂×Q₈	—	3	1	no	—
1267	C₂×Q₈	—	6	1	no	—
1268	C₂×Q₈	—	6	1	no	—
1269	C₂×Q₈	—	6	1	no	—
1270	C₂×Q₈	C₂³×D₃	1	1	yes	characteristic
1271	C₂×D₄	—	2	1	no	—
1272	C₂×D₄	—	2	1	no	—
1273	C₂×D₄	—	3	1	no	—
1274	C₂×D₄	—	3	1	no	—
1275	C₂×D₄	—	3	1	no	—
1276	C₂×D₄	—	3	1	no	—
1277	C₂×D₄	—	3	1	no	—
1278	C₂×D₄	—	6	2	no	—
1279	C₂×D₄	—	6	2	no	—
1280	C₂×D₄	—	6	1	no	—
1281	C₂×D₄	—	6	1	no	—
1282	C₂×D₄	—	6	1	no	—
1283	C₂×D₄	—	6	1	no	—
1284	C₂×D₄	—	6	1	no	—
1285	C₂×D₄	—	6	1	no	—
1286	C₂×D₄	—	6	1	no	—
1287	C₂×D₄	—	6	2	no	—
1288	C₂×D₄	—	6	1	no	—
1289	C₂×D₄	—	6	1	no	—
1290	C₂×D₄	—	6	1	no	—
1291	C₂×D₄	—	6	1	no	—
1292	C₂×D₄	—	6	1	no	—
1293	C₂×D₄	—	6	1	no	—
1294	C₂×D₄	—	12	1	no	—
1295	C₂×D₄	—	12	1	no	—
1296	C₂×D₄	—	12	1	no	—
1297	C₂×D₄	—	24	2	no	—
1298	C₂×D₄	—	24	2	no	—
1299	C₂×D₄	—	24	2	no	—
1300	C₂×D₄	D₃×D₄	1	1	yes	characteristic
1301	C₂×D₄	C₂³×D₃	1	1	yes	characteristic
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	2	1	no	—
1304	C₂²×C₄	—	3	1	no	—
1305	C₂²×C₄	—	3	1	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	6	1	no	—
1308	C₂²×C₄	—	6	1	no	—
1309	C₂²×C₄	—	6	1	no	—
1310	C₂²×C₄	—	6	1	no	—
1311	C₂²×C₄	—	6	1	no	—
1312	C₂²×C₄	—	6	1	no	—
1313	C₂²×C₄	—	6	1	no	—
1314	C₂²×C₄	—	6	1	no	—
1315	C₂²×C₄	—	6	1	no	—
1316	C₂²×C₄	—	6	1	no	—
1317	C₂²×C₄	—	6	1	no	—
1318	C₂²×C₄	—	6	1	no	—
1319	C₂²×C₄	—	6	1	no	—
1320	C₂²×C₄	—	24	2	no	—
1321	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1323	SD₁₆	—	4	1	no	—
1324	SD₁₆	—	6	2	no	—
1325	SD₁₆	—	6	2	no	—
1326	SD₁₆	—	12	1	no	—
1327	SD₁₆	—	12	1	no	—
1328	SD₁₆	—	12	1	no	—
1329	SD₁₆	—	12	1	no	—
1330	SD₁₆	—	12	1	no	—
1331	M₁₆	—	4	1	no	—
1332	M₁₆	—	12	1	no	—
1333	C₂×C₈	—	3	1	no	—
1334	C₂×C₈	—	3	1	no	—
1335	C₂×C₈	—	3	1	no	—
1336	C₂×C₈	—	3	1	no	—
1337	C₂×C₈	—	4	1	no	—
1338	C₂×C₈	—	12	1	no	—
1339	C₂×C₈	—	12	1	no	—
1340	C₂×C₈	—	12	1	no	—
1341	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	3	1	no	—
1353	C₄⋊C₄	—	3	1	no	—
1354	C₄⋊C₄	—	3	1	no	—
1355	C₄⋊C₄	—	3	1	no	—
1356	C₄⋊C₄	—	3	1	no	—
1357	C₄⋊C₄	—	3	1	no	—
1358	C₄⋊C₄	—	3	1	no	—
1359	C₄⋊C₄	—	3	1	no	—
1360	C₄⋊C₄	—	3	1	no	—
1361	C₄⋊C₄	—	3	1	no	—
1362	C₄⋊C₄	—	3	1	no	—
1363	C₄⋊C₄	—	3	1	no	—
1364	C₄⋊C₄	—	3	1	no	—
1365	C₄⋊C₄	—	6	1	no	—
1366	C₄⋊C₄	—	6	1	no	—
1367	C₄⋊C₄	—	6	1	no	—
1368	C₄⋊C₄	—	6	1	no	—
1369	C₄⋊C₄	—	6	1	no	—
1370	C₄⋊C₄	—	6	1	no	—
1371	C₄⋊C₄	—	6	1	no	—
1372	C₄⋊C₄	—	6	1	no	—
1373	C₄⋊C₄	—	6	1	no	—
1374	C₄⋊C₄	—	6	1	no	—
1375	C₄⋊C₄	—	6	1	no	—
1376	C₄⋊C₄	—	6	1	no	—
1377	C₄⋊C₄	—	6	1	no	—
1378	C₄⋊C₄	—	6	1	no	—
1379	C₄⋊C₄	—	6	1	no	—
1380	C₄⋊C₄	—	6	1	no	—
1381	C₄⋊C₄	—	6	1	no	—
1382	C₄⋊C₄	—	6	1	no	—
1383	C₄⋊C₄	—	6	1	no	—
1384	C₄⋊C₄	—	6	1	no	—
1385	C₄⋊C₄	—	6	1	no	—
1386	C₄⋊C₄	—	6	1	no	—
1387	C₄⋊C₄	—	6	1	no	—
1388	C₄⋊C₄	—	6	1	no	—
1389	C₄⋊C₄	—	6	1	no	—
1390	C₄⋊C₄	—	6	1	no	—
1391	C₄⋊C₄	—	6	1	no	—
1392	C₄⋊C₄	—	6	1	no	—
1393	C₄⋊C₄	—	6	1	no	—
1394	C₄⋊C₄	—	6	1	no	—
1395	C₄⋊C₄	—	6	1	no	—
1396	C₄⋊C₄	—	6	1	no	—
1397	C₄⋊C₄	D₃×D₄	1	1	yes	characteristic
1398	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×D₃	1	1	yes	characteristic
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	3	1	no	—
1416	C₂²⋊C₄	—	3	1	no	—
1417	C₂²⋊C₄	—	3	1	no	—
1418	C₂²⋊C₄	—	3	1	no	—
1419	C₂²⋊C₄	—	3	1	no	—
1420	C₂²⋊C₄	—	6	1	no	—
1421	C₂²⋊C₄	—	6	1	no	—
1422	C₂²⋊C₄	—	6	1	no	—
1423	C₂²⋊C₄	—	6	1	no	—
1424	C₂²⋊C₄	—	6	1	no	—
1425	C₂²⋊C₄	—	6	1	no	—
1426	C₂²⋊C₄	—	6	1	no	—
1427	C₂²⋊C₄	—	6	1	no	—
1428	C₂²⋊C₄	—	6	1	no	—
1429	C₂²⋊C₄	—	6	1	no	—
1430	C₂²⋊C₄	—	6	1	no	—
1431	C₂²⋊C₄	—	6	1	no	—
1432	C₂²⋊C₄	—	6	1	no	—
1433	C₂²⋊C₄	—	6	1	no	—
1434	C₂²⋊C₄	—	6	1	no	—
1435	C₂²⋊C₄	—	6	1	no	—
1436	C₂²⋊C₄	—	6	1	no	—
1437	C₂²⋊C₄	—	6	1	no	—
1438	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1439	C₂²⋊C₄	D₃×D₄	1	1	yes	characteristic
1440	C₄²	—	2	1	no	—
1441	C₄²	—	2	1	no	—
1442	C₄²	—	2	1	no	—
1443	C₄²	—	2	1	no	—
1444	C₄²	—	3	1	no	—
1445	C₄²	—	3	1	no	—
1446	C₄²	—	3	1	no	—
1447	C₄²	—	3	1	no	—
1448	C₄²	—	3	1	no	—
1449	C₄²	—	6	1	no	—
1450	C₄²	—	6	1	no	—
1451	C₄²	—	6	1	no	—
1452	C₄²	—	6	1	no	—
1453	C₄²	—	6	1	no	—
1454	C₄²	—	6	1	no	—
1455	C₄²	C₂³×D₃	1	1	yes	characteristic
1456	C₂²×C₃	—	2	1	no	—
1457	C₂²×C₃	—	2	1	no	—
1458	C₂²×C₃	—	2	1	no	—
1459	C₂²×C₃	—	2	1	no	—
1460	C₂²×C₃	—	2	1	no	—
1461	C₂²×C₃	—	2	1	no	—
1462	C₂²×C₃	—	4	1	no	—
1463	C₂²×C₃	—	4	1	no	—
1464	C₂²×C₃	—	4	1	no	—
1465	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1466	C₂×D₃	—	2	1	no	—
1467	C₂×D₃	—	2	1	no	—
1468	C₂×D₃	—	2	2	no	—
1469	C₂×D₃	—	4	1	no	—
1470	C₂×D₃	—	4	1	no	—
1471	C₂×D₃	—	4	1	no	—
1472	C₂×D₃	—	4	1	no	—
1473	C₂×D₃	—	4	1	no	—
1474	C₂×D₃	—	4	1	no	—
1475	C₂×D₃	—	4	1	no	—
1476	C₂×D₃	—	4	1	no	—
1477	C₂×D₃	—	8	4	no	—
1478	C₂×D₃	—	16	2	no	—
1479	C₂×D₃	—	16	2	no	—
1480	C₂×D₃	#577	1	2	yes	—
1481	C₃×C₄	—	2	1	no	—
1482	C₃×C₄	—	2	1	no	—
1483	C₃×C₄	—	2	1	no	—
1484	C₃×C₄	—	2	1	no	—
1485	C₃×C₄	—	4	1	no	—
1486	C₃×C₄	—	4	1	no	—
1487	C₃×C₄	—	4	1	no	—
1488	C₃×C₄	—	4	1	no	—
1489	C₃×C₄	—	4	1	no	—
1490	C₃×C₄	—	4	1	no	—
1491	C₃×C₄	—	4	1	no	—
1492	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1493	C₃×C₄	#585	1	1	yes	characteristic
1494	Dic₃	—	2	1	no	—
1495	Dic₃	—	2	1	no	—
1496	Dic₃	—	2	1	no	—
1497	Dic₃	—	2	1	no	—
1498	Dic₃	—	2	1	no	—
1499	Dic₃	—	2	1	no	—
1500	Dic₃	—	2	1	no	—
1501	Dic₃	—	4	1	no	—
1502	Dic₃	—	4	1	no	—
1503	Dic₃	—	4	1	no	—
1504	Dic₃	—	4	1	no	—
1505	Dic₃	—	4	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	3	1	no	—
1508	C₂³	—	6	1	no	—
1509	C₂³	—	6	1	no	—
1510	C₂³	—	6	1	no	—
1511	C₂³	—	12	2	no	—
1512	C₂³	—	12	2	no	—
1513	C₂³	—	12	2	no	—
1514	C₂³	—	12	2	no	—
1515	C₂³	—	24	1	no	—
1516	C₂³	—	24	1	no	—
1517	C₂³	—	24	1	no	—
1518	C₂³	—	24	1	no	—
1519	C₂³	—	24	1	no	—
1520	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1521	C₂³	C₂×D₃×D₄	1	1	yes	characteristic
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	6	1	no	—
1525	Q₈	—	6	1	no	—
1526	Q₈	—	8	1	no	—
1527	Q₈	—	12	1	no	—
1528	Q₈	—	24	1	no	—
1529	Q₈	—	24	1	no	—
1530	Q₈	—	24	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	3	2	no	—
1534	D₄	—	4	1	no	—
1535	D₄	—	6	2	no	—
1536	D₄	—	6	2	no	—
1537	D₄	—	6	1	no	—
1538	D₄	—	6	1	no	—
1539	D₄	—	6	1	no	—
1540	D₄	—	6	1	no	—
1541	D₄	—	6	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	8	1	no	—
1544	D₄	—	12	2	no	—
1545	D₄	—	12	2	no	—
1546	D₄	—	12	2	no	—
1547	D₄	—	12	2	no	—
1548	D₄	—	12	2	no	—
1549	D₄	—	12	2	no	—
1550	D₄	—	24	1	no	—
1551	D₄	—	24	1	no	—
1552	D₄	—	24	1	no	—
1553	D₄	—	24	1	no	—
1554	D₄	—	24	1	no	—
1555	D₄	—	24	1	no	—
1556	D₄	—	24	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	3	1	no	—
1569	C₂×C₄	—	3	1	no	—
1570	C₂×C₄	—	3	1	no	—
1571	C₂×C₄	—	3	1	no	—
1572	C₂×C₄	—	3	1	no	—
1573	C₂×C₄	—	3	1	no	—
1574	C₂×C₄	—	3	1	no	—
1575	C₂×C₄	—	4	2	no	—
1576	C₂×C₄	—	6	2	no	—
1577	C₂×C₄	—	6	1	no	—
1578	C₂×C₄	—	6	1	no	—
1579	C₂×C₄	—	6	1	no	—
1580	C₂×C₄	—	6	1	no	—
1581	C₂×C₄	—	6	1	no	—
1582	C₂×C₄	—	6	1	no	—
1583	C₂×C₄	—	6	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	12	1	no	—
1586	C₂×C₄	—	12	2	no	—
1587	C₂×C₄	—	12	2	no	—
1588	C₂×C₄	—	24	1	no	—
1589	C₂×C₄	—	24	1	no	—
1590	C₂×C₄	—	24	1	no	—
1591	C₂×C₄	—	24	1	no	—
1592	C₂×C₄	—	24	1	no	—
1593	C₂×C₄	—	24	1	no	—
1594	C₂×C₄	—	24	1	no	—
1595	C₂×C₄	—	24	1	no	—
1596	C₂×C₄	—	24	1	no	—
1597	C₂×C₄	—	24	1	no	—
1598	C₂×C₄	—	24	1	no	—
1599	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1600	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1601	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1602	C₂×C₄	C₂×D₃×D₄	1	1	yes	characteristic
1603	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	6	1	no	—
1609	C₈	—	6	1	no	—
1610	C₈	—	6	1	no	—
1611	C₈	—	6	1	no	—
1612	C₂×C₃	—	4	1	no	—
1613	C₂×C₃	—	4	1	no	—
1614	C₂×C₃	—	8	1	no	—
1615	C₂×C₃	#3489	1	1	yes	characteristic
1616	C₂×C₃	C₂×#577	1	1	yes	characteristic
1617	C₂×C₃	#3585	1	1	yes	characteristic
1618	D₃	—	2	2	no	—
1619	D₃	—	4	2	no	—
1620	D₃	—	8	1	no	—
1621	D₃	—	8	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	3	2	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	6	1	no	—
1633	C₂²	—	6	1	no	—
1634	C₂²	—	6	2	no	—
1635	C₂²	—	12	1	no	—
1636	C₂²	—	12	1	no	—
1637	C₂²	—	12	1	no	—
1638	C₂²	—	12	1	no	—
1639	C₂²	—	12	1	no	—
1640	C₂²	—	12	1	no	—
1641	C₂²	—	12	1	no	—
1642	C₂²	—	12	1	no	—
1643	C₂²	—	24	4	no	—
1644	C₂²	—	48	2	no	—
1645	C₂²	—	48	2	no	—
1646	C₂²	C₂²×D₃×D₄	1	1	yes	characteristic
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	6	1	no	—
1659	C₄	—	6	1	no	—
1660	C₄	—	6	1	no	—
1661	C₄	—	6	1	no	—
1662	C₄	—	6	1	no	—
1663	C₄	—	6	1	no	—
1664	C₄	—	6	1	no	—
1665	C₄	—	12	1	no	—
1666	C₄	—	12	1	no	—
1667	C₄	—	12	1	no	—
1668	C₄	—	12	1	no	—
1669	C₄	—	12	1	no	—
1670	C₄	#5964	1	1	yes	characteristic
1671	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1672	C₃	#62164	1	1	yes	characteristic, complemented, Sylow
1673	C₂	—	4	1	no	—
1674	C₂	—	4	1	no	—
1675	C₂	—	6	2	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	12	2	no	—
1678	C₂	—	24	1	no	—
1679	C₂	—	24	1	no	—
1680	C₂	#86677	1	1	yes	characteristic
1681	C₂	#87200	1	1	yes	characteristic
1682	C₂	D₃×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#3348	C₂
socle	C₂²×C₃	C₂³×D₄
prime radical	#86964	C₂
hypercenter	#3348	D₃
hypocenter	C₃	#62164
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3348

Complements

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

N	H ≅ G/N	type
2. #86869	C₂	semidirect
3. C₃×#3348	C₂	semidirect
4. #83649	C₂	semidirect
5. #83599	C₂	semidirect
6. #81978	C₂	semidirect
7. #81969	C₂	semidirect
8. #81535	C₂	semidirect
9. #81531	C₂	semidirect
10. #81498	C₂	semidirect
11. #81498	C₂	semidirect
12. #81383	C₂	semidirect
13. #81361	C₂	semidirect
14. #81342	C₂	semidirect
15. #81316	C₂	semidirect
16. D₃×#478	C₂	semidirect
17. #81153	C₂	semidirect
18. #81008	C₂	semidirect
19. #81002	C₂	semidirect
20. #80821	C₂	semidirect
21. #80798	C₂	semidirect
22. #80680	C₂	semidirect
23. #80646	C₂	semidirect
24. #79779	C₂	semidirect
25. #79752	C₂	semidirect
26. #79501	C₂	semidirect
27. #79464	C₂	semidirect
28. #79242	C₂	semidirect
29. #79226	C₂	semidirect
30. #79197	C₂	semidirect
31. #79187	C₂	semidirect
34. C₃×#552	C₂²	semidirect
40. D₃×#125	C₂²	semidirect
42. #5685	C₂²	semidirect
49. #5639	C₂²	semidirect
50. #5635	C₂²	semidirect
51. #5625	C₂²	semidirect
52. #5625	C₂²	semidirect
59. #5578	C₂²	semidirect
60. #5569	C₂²	semidirect
65. #5541	C₂²	semidirect
70. #5529	C₂²	semidirect
74. #5519	C₂²	semidirect
76. #5511	C₂²	semidirect
77. #5500	C₂²	semidirect
78. C₃×#501	C₂²	semidirect
79. C₃×#485	C₂²	semidirect
80. C₃×#485	C₂²	semidirect
81. C₃×#482	C₂²	semidirect
82. C₃×#481	C₂²	semidirect
83. C₃×#478	C₂²	semidirect
84. C₃×#475	C₂²	semidirect
85. C₃×#468	C₂²	semidirect
86. C₃×#465	C₂²	semidirect
87. C₃×#440	C₂²	semidirect
88. C₃×#435	C₂²	semidirect
89. C₃×#428	C₂²	semidirect
90. C₃×#427	C₂²	semidirect
92. #5163	C₂²	semidirect
93. #5163	C₂²	semidirect
94. #5162	C₂²	semidirect
95. #5134	C₂²	semidirect
97. #5127	C₂²	semidirect
98. #5119	C₂²	semidirect
99. #5114	C₂²	semidirect
101. C₈×#67	C₂²	semidirect
102. #5102	C₂²	semidirect
103. #5094	C₂²	semidirect
104. #5081	C₂²	semidirect
105. #5067	C₂²	semidirect
107. #5049	C₂²	semidirect
108. #5048	C₂²	semidirect
111. #5042	C₂²	semidirect
112. #5041	C₂²	semidirect
113. #5035	C₂²	semidirect
114. #5034	C₂²	semidirect
115. #5027	C₂²	semidirect
117. #5018	C₂²	semidirect
118. #5011	C₂²	semidirect
119. #5009	C₂²	semidirect
120. #5003	C₂²	semidirect
122. #4998	C₂²	semidirect
123. #4996	C₂²	semidirect
124. #4996	C₂²	semidirect
125. #4995	C₂²	semidirect
126. #4967	C₂²	semidirect
130. #4891	C₂²	semidirect
131. #4891	C₂²	semidirect
132. #4891	C₂²	semidirect
134. #4890	C₂²	semidirect
135. #4890	C₂²	semidirect
137. #4889	C₂²	semidirect
138. #4884	C₂²	semidirect
139. #4882	C₂²	semidirect
140. #4882	C₂²	semidirect
141. D₃×#107	C₂²	semidirect
142. #4878	C₂²	semidirect
143. #4877	C₂²	semidirect
146. #4871	C₂²	semidirect
147. #4871	C₂²	semidirect
148. #4871	C₂²	semidirect
151. #4870	C₂²	semidirect
152. #4870	C₂²	semidirect
153. #4864	C₂²	semidirect
154. #4864	C₂²	semidirect
155. #4863	C₂²	semidirect
156. #4863	C₂²	semidirect
157. D₃×#106	C₂²	semidirect
158. #4858	C₂²	semidirect
159. #4857	C₂²	semidirect
160. #4856	C₂²	semidirect
161. #4856	C₂²	semidirect
163. #4852	C₂²	semidirect
164. #4848	C₂²	semidirect
166. D₃×C₄⋊C₈	C₂²	semidirect
167. #4828	C₂²	semidirect
169. #4818	C₂²	semidirect
170. #4818	C₂²	semidirect
172. #4817	C₂²	semidirect
173. #4811	C₂²	semidirect
174. #4807	C₂²	semidirect
175. #4807	C₂²	semidirect
176. #4799	C₂²	semidirect
177. #4796	C₂²	semidirect
179. #4788	C₂²	semidirect
183. #4766	C₂²	semidirect
184. #4764	C₂²	semidirect
185. #4764	C₂²	semidirect
186. #4763	C₂²	semidirect
187. #4762	C₂²	semidirect
188. #4762	C₂²	semidirect
189. #4760	C₂²	semidirect
190. #4760	C₂²	semidirect
191. #4759	C₂²	semidirect
192. #4737	C₂²	semidirect
193. #4736	C₂²	semidirect
196. #4728	C₂²	semidirect
197. #67⋊C₈	C₂²	semidirect
198. #4720	C₂²	semidirect
199. #4720	C₂²	semidirect
200. #4713	C₂²	semidirect
202. #4705	C₂²	semidirect
203. #4701	C₂²	semidirect
211. #3348	D₃	semidirect
526. #552	C₂×D₃	semidirect
558. #501	C₂×D₃	semidirect
569. #485	C₂×D₃	semidirect
570. #485	C₂×D₃	semidirect
576. #482	C₂×D₃	semidirect
580. #481	C₂×D₃	semidirect
604. #478	C₂×D₃	semidirect
610. #475	C₂×D₃	semidirect
618. #468	C₂×D₃	semidirect
626. #465	C₂×D₃	semidirect
652. #440	C₂×D₃	semidirect
660. #435	C₂×D₃	semidirect
667. #428	C₂×D₃	semidirect
669. #427	C₂×D₃	semidirect
1672. C₃	#62164	semidirect

Maximal subgroups

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

subgroup	index
#86964	2
#86869	2
C₃×#3348	2
#83649	2
#83599	2
#81978	2
#81969	2
#81535	2
#81531	2
#81498	2
#81383	2
#81361	2
#81342	2
#81316	2
D₃×#478	2
#81153	2
#81008	2
#81002	2
#80821	2
#80798	2
#80680	2
#80646	2
#79779	2
#79752	2
#79501	2
#79464	2
#79242	2
#79226	2
#79197	2
#79187	2
#62164	3