Subgroups — #11680771

Order 768.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86056	C₂	1	1	yes	maximal, characteristic, complemented
2	#86039	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
4	#79555	C₂	1	1	yes	maximal, characteristic, complemented
5	#79554	C₂	1	1	yes	maximal, characteristic, complemented
6	#79551	C₂	1	1	yes	maximal, characteristic, complemented
7	#79548	C₂	1	1	yes	maximal, characteristic, complemented
8	#79505	C₂	1	1	yes	maximal, characteristic, complemented
9	#79503	C₂	1	1	yes	maximal, characteristic, complemented
10	#79502	C₂	1	1	yes	maximal, characteristic, complemented
11	#79501	C₂	1	1	yes	maximal, characteristic, complemented
12	#79496	C₂	1	1	yes	maximal, characteristic, complemented
13	#79495	C₂	1	1	yes	maximal, characteristic, complemented
14	#79494	C₂	1	1	yes	maximal, characteristic, complemented
15	#79494	C₂	1	1	yes	maximal, characteristic, complemented
16	#79441	C₂	1	1	yes	maximal, characteristic, complemented
17	#79439	C₂	1	1	yes	maximal, characteristic, complemented
18	#79435	C₂	1	1	yes	maximal, characteristic, complemented
19	D₄×#204	C₂	1	1	yes	maximal, characteristic, complemented
20	#79392	C₂	1	1	yes	maximal, characteristic, complemented
21	#79391	C₂	1	1	yes	maximal, characteristic, complemented
22	#79387	C₂	1	1	yes	maximal, characteristic, complemented
23	#79383	C₂	1	1	yes	maximal, characteristic, complemented
24	#78675	C₂	1	1	yes	maximal, characteristic, complemented
25	#78673	C₂	1	1	yes	maximal, characteristic, complemented
26	#78672	C₂	1	1	yes	maximal, characteristic, complemented
27	#78671	C₂	1	1	yes	maximal, characteristic, complemented
28	#78647	C₂	1	1	yes	maximal, characteristic, complemented
29	#78637	C₂	1	1	yes	maximal, characteristic, complemented
30	#78614	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#4731	C₂	1	1	yes	maximal, characteristic, complemented
32	#61610	—	3	1	no	maximal, Sylow
33	C₂×#1009	C₂²	1	1	yes	characteristic
34	C₂³×D₁₂	C₂²	1	1	yes	characteristic
35	C₃×#525	C₂²	1	1	yes	characteristic
36	#5833	C₂²	1	1	yes	characteristic, complemented
37	#5830	C₂²	1	1	yes	characteristic
38	#5825	C₂²	1	1	yes	characteristic, complemented
39	#5791	C₂²	1	1	yes	characteristic
40	#5791	C₂²	1	1	yes	characteristic, complemented
41	C₂×#924	C₂²	1	1	yes	characteristic, complemented
42	C₂×#909	C₂²	1	1	yes	characteristic, complemented
43	C₂×#908	C₂²	1	1	yes	characteristic, complemented
44	C₂×#908	C₂²	1	1	yes	characteristic, complemented
45	C₂×#908	C₂²	1	1	yes	characteristic, complemented
46	C₂×#904	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#204	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#204	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#204	C₂²	1	1	yes	characteristic, complemented
50	#5662	—	2	1	no	—
51	#5660	—	2	1	no	—
52	#5653	—	2	1	no	—
53	#5653	—	2	1	no	—
54	#5646	—	2	1	no	—
55	#5636	—	2	1	no	—
56	#5630	—	2	1	no	—
57	#5630	—	2	1	no	—
58	#5621	—	2	1	no	—
59	#5609	—	2	1	no	—
60	#5609	—	2	1	no	—
61	#5601	—	2	1	no	—
62	#5593	—	2	1	no	—
63	#5593	—	2	1	no	—
64	D₃×#120	—	2	1	no	—
65	D₃×#120	—	2	1	no	—
66	#5565	C₂²	1	1	yes	characteristic, complemented
67	#5552	C₂²	1	1	yes	characteristic, complemented
68	#5552	C₂²	1	1	yes	characteristic, complemented
69	#5551	C₂²	1	1	yes	characteristic, complemented
70	#5550	C₂²	1	1	yes	characteristic
71	#5550	C₂²	1	1	yes	characteristic
72	#5550	C₂²	1	1	yes	characteristic
73	#5550	C₂²	1	1	yes	characteristic
74	D₄×D₁₂	C₂²	1	1	yes	characteristic
75	D₄×D₁₂	C₂²	1	1	yes	characteristic
76	D₄×D₁₂	C₂²	1	1	yes	characteristic
77	D₄×D₁₂	C₂²	1	1	yes	characteristic
78	#5543	C₂²	1	1	yes	characteristic, complemented
79	#5542	C₂²	1	1	yes	characteristic, complemented
80	#5541	C₂²	1	1	yes	characteristic, complemented
81	D₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
82	#5534	C₂²	1	1	yes	characteristic, complemented
83	#5525	C₂²	1	1	yes	characteristic
84	#5521	C₂²	1	1	yes	characteristic
85	#5518	C₂²	1	1	yes	characteristic, complemented
86	C₃×#436	C₂²	1	1	yes	characteristic, complemented
87	C₃×#436	C₂²	1	1	yes	characteristic, complemented
88	C₃×#435	C₂²	1	1	yes	characteristic, complemented
89	C₃×#435	C₂²	1	1	yes	characteristic, complemented
90	C₃×#435	C₂²	1	1	yes	characteristic, complemented
91	C₃×#435	C₂²	1	1	yes	characteristic, complemented
92	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
93	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
94	C₃×#433	C₂²	1	1	yes	characteristic, complemented
95	C₃×#433	C₂²	1	1	yes	characteristic, complemented
96	C₃×#408	C₂²	1	1	yes	characteristic, complemented
97	C₃×#408	C₂²	1	1	yes	characteristic, complemented
98	C₃×#407	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
100	#5137	C₂²	1	1	yes	characteristic, complemented
101	#5137	C₂²	1	1	yes	characteristic, complemented
102	#5135	C₂²	1	1	yes	characteristic, complemented
103	#5134	C₂²	1	1	yes	characteristic, complemented
104	#5134	C₂²	1	1	yes	characteristic, complemented
105	#5134	C₂²	1	1	yes	characteristic, complemented
106	#5134	C₂²	1	1	yes	characteristic, complemented
107	#5134	C₂²	1	1	yes	characteristic, complemented
108	#5133	C₂²	1	1	yes	characteristic, complemented
109	#5131	C₂²	1	1	yes	characteristic, complemented
110	#5131	C₂²	1	1	yes	characteristic, complemented
111	#5131	C₂²	1	1	yes	characteristic, complemented
112	#5116	C₂²	1	1	yes	characteristic, complemented
113	#5115	C₂²	1	1	yes	characteristic, complemented
114	#5115	C₂²	1	1	yes	characteristic, complemented
115	#5114	C₂²	1	1	yes	characteristic, complemented
116	#5114	C₂²	1	1	yes	characteristic, complemented
117	#5114	C₂²	1	1	yes	characteristic, complemented
118	#5114	C₂²	1	1	yes	characteristic, complemented
119	#5114	C₂²	1	1	yes	characteristic, complemented
120	#5113	C₂²	1	1	yes	characteristic, complemented
121	C₂×#821	C₂²	1	1	yes	characteristic, complemented
122	C₂×#821	C₂²	1	1	yes	characteristic, complemented
123	C₂×#821	C₂²	1	1	yes	characteristic, complemented
124	#4848	C₂²	1	1	yes	characteristic, complemented
125	#4848	C₂²	1	1	yes	characteristic, complemented
126	#4848	C₂²	1	1	yes	characteristic, complemented
127	#4847	C₂²	1	1	yes	characteristic, complemented
128	#4847	C₂²	1	1	yes	characteristic, complemented
129	#4846	C₂²	1	1	yes	characteristic, complemented
130	#4845	C₂²	1	1	yes	characteristic, complemented
131	#4845	C₂²	1	1	yes	characteristic, complemented
132	#4845	C₂²	1	1	yes	characteristic, complemented
133	#4844	C₂²	1	1	yes	characteristic, complemented
134	#4844	C₂²	1	1	yes	characteristic, complemented
135	#4844	C₂²	1	1	yes	characteristic, complemented
136	#4843	C₂²	1	1	yes	characteristic, complemented
137	#4842	C₂²	1	1	yes	characteristic, complemented
138	#4841	C₂²	1	1	yes	characteristic, complemented
139	#4841	C₂²	1	1	yes	characteristic, complemented
140	#4739	C₂²	1	1	yes	characteristic, complemented
141	#4738	C₂²	1	1	yes	characteristic, complemented
142	#4738	C₂²	1	1	yes	characteristic, complemented
143	#4738	C₂²	1	1	yes	characteristic, complemented
144	#4737	C₂²	1	1	yes	characteristic, complemented
145	#4737	C₂²	1	1	yes	characteristic, complemented
146	#4737	C₂²	1	1	yes	characteristic, complemented
147	#4737	C₂²	1	1	yes	characteristic, complemented
148	#4736	C₂²	1	1	yes	characteristic, complemented
149	#4735	C₂²	1	1	yes	characteristic, complemented
150	#4735	C₂²	1	1	yes	characteristic, complemented
151	#4734	C₂²	1	1	yes	characteristic, complemented
152	#4734	C₂²	1	1	yes	characteristic, complemented
153	#4734	C₂²	1	1	yes	characteristic, complemented
154	#4734	C₂²	1	1	yes	characteristic, complemented
155	#4734	C₂²	1	1	yes	characteristic, complemented
156	#4733	C₂²	1	1	yes	characteristic, complemented
157	#4733	C₂²	1	1	yes	characteristic, complemented
158	#4733	C₂²	1	1	yes	characteristic, complemented
159	#4733	C₂²	1	1	yes	characteristic, complemented
160	#4733	C₂²	1	1	yes	characteristic, complemented
161	#4733	C₂²	1	1	yes	characteristic, complemented
162	#4733	C₂²	1	1	yes	characteristic, complemented
163	#4732	C₂²	1	1	yes	characteristic
164	#4732	C₂²	1	1	yes	characteristic, complemented
165	#4732	C₂²	1	1	yes	characteristic, complemented
166	#4732	C₂²	1	1	yes	characteristic, complemented
167	#4732	C₂²	1	1	yes	characteristic, complemented
168	#4731	C₂²	1	1	yes	characteristic
169	#4731	C₂²	1	1	yes	characteristic
170	#4731	C₂²	1	1	yes	characteristic
171	#4731	C₂²	1	1	yes	characteristic, complemented
172	#4731	C₂²	1	1	yes	characteristic, complemented
173	#4731	C₂²	1	1	yes	characteristic, complemented
174	#4731	C₂²	1	1	yes	characteristic, complemented
175	#4731	C₂²	1	1	yes	characteristic, complemented
176	#4731	C₂²	1	1	yes	characteristic, complemented
177	#4731	C₂²	1	1	yes	characteristic, complemented
178	#4731	C₂²	1	1	yes	characteristic, complemented
179	#4731	C₂²	1	1	yes	characteristic, complemented
180	#4731	C₂²	1	1	yes	characteristic, complemented
181	#4731	C₂²	1	1	yes	characteristic, complemented
182	#4731	C₂²	1	1	yes	characteristic, complemented
183	#4723	C₂²	1	1	yes	characteristic, complemented
184	#4723	C₂²	1	1	yes	characteristic, complemented
185	#4723	C₂²	1	1	yes	characteristic, complemented
186	#4723	C₂²	1	1	yes	characteristic, complemented
187	#4722	C₂²	1	1	yes	characteristic, complemented
188	#4715	C₂²	1	1	yes	characteristic, complemented
189	#4714	C₂²	1	1	yes	characteristic, complemented
190	#4713	C₂²	1	1	yes	characteristic, complemented
191	#4712	C₂²	1	1	yes	characteristic, complemented
192	#4711	C₂²	1	1	yes	characteristic, complemented
193	#4710	C₂²	1	1	yes	characteristic, complemented
194	#4710	C₂²	1	1	yes	characteristic, complemented
195	#4710	C₂²	1	1	yes	characteristic, complemented
196	#4697	C₂²	1	1	yes	characteristic, complemented
197	#4696	C₂²	1	1	yes	characteristic, complemented
198	#4694	C₂²	1	1	yes	characteristic, complemented
199	#4693	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₂₄	C₂²	1	1	yes	characteristic, complemented
201	C₄×#204	C₂²	1	1	yes	characteristic, complemented
202	C₄×#204	C₂²	1	1	yes	characteristic, complemented
203	C₄×#204	C₂²	1	1	yes	characteristic, complemented
204	#3541	—	3	1	no	—
205	#3484	—	3	1	no	—
206	#3324	—	3	1	no	—
207	#3323	—	3	1	no	—
208	#3318	—	3	1	no	—
209	#3314	—	3	1	no	—
210	#3311	—	3	1	no	—
211	#3310	—	3	1	no	—
212	#3297	—	3	1	no	—
213	#3295	—	3	1	no	—
214	#3282	—	3	1	no	—
215	D₄×SD₁₆	—	3	1	no	—
216	#3275	—	3	1	no	—
217	#3272	—	3	1	no	—
218	#3267	—	3	1	no	—
219	#3266	—	3	1	no	—
220	#3265	—	3	1	no	—
221	#3265	—	3	1	no	—
222	#3224	—	3	1	no	—
223	#3222	—	3	1	no	—
224	#3200	—	3	1	no	—
225	#3198	—	3	1	no	—
226	#3196	—	3	1	no	—
227	#3191	—	3	1	no	—
228	#3123	—	3	1	no	—
229	#3118	—	3	1	no	—
230	#3012	—	3	1	no	—
231	#3009	—	3	1	no	—
232	#3003	—	3	1	no	—
233	C₂×#450	—	3	1	no	—
234	#2976	D₃	1	1	yes	characteristic, complemented
235	C₂⁴×D₃	—	2	1	no	—
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
237	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
238	#1009	—	4	2	no	—
239	#1009	—	4	2	no	—
240	C₂×#239	—	2	1	no	—
241	C₂×D₃×D₄	—	2	1	no	—
242	C₂×D₃×D₄	—	2	1	no	—
243	C₂×D₃×D₄	—	2	1	no	—
244	C₂×D₃×D₄	—	2	1	no	—
245	C₂×D₃×D₄	—	2	1	no	—
246	C₂×D₃×D₄	—	2	1	no	—
247	C₂×D₃×D₄	—	2	1	no	—
248	C₂×#235	C₂³	1	1	yes	characteristic
249	C₂×#235	C₂³	1	1	yes	characteristic
250	C₂×#235	C₂³	1	1	yes	characteristic
251	C₂×#235	C₂³	1	1	yes	characteristic
252	C₂×#235	C₂³	1	1	yes	characteristic, complemented
253	C₂²×D₁₂	—	2	1	no	—
254	C₂²×D₁₂	—	2	1	no	—
255	C₂²×D₁₂	—	2	1	no	—
256	C₂²×D₁₂	—	4	2	no	—
257	C₂²×D₁₂	—	4	2	no	—
258	C₂²×D₁₂	C₂³	1	1	yes	characteristic
259	C₂²×D₁₂	C₂³	1	1	yes	characteristic
260	C₂²×D₁₂	C₂³	1	1	yes	characteristic
261	C₂²×D₁₂	C₂³	1	1	yes	characteristic
262	C₂²×D₁₂	C₂³	1	1	yes	characteristic
263	C₂²×D₁₂	C₂³	1	1	yes	characteristic
264	C₂²×D₁₂	C₂³	1	1	yes	characteristic
265	C₂²×D₁₂	C₂³	1	1	yes	characteristic
266	C₂²×Dic₆	C₂³	1	1	yes	characteristic
267	C₂²×Dic₆	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
269	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
270	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
271	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
272	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
273	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
274	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic, complemented
275	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic, complemented
276	C₃×#123	D₄	1	1	yes	characteristic
277	C₃×#123	D₄	1	1	yes	characteristic
278	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
279	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
280	C₃×#121	D₄	1	1	yes	characteristic
281	C₃×#121	D₄	1	1	yes	characteristic
282	C₃×#120	D₄	1	1	yes	characteristic
283	C₃×#120	D₄	1	1	yes	characteristic
284	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
285	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
286	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
287	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
288	C₃×#117	C₂³	1	1	yes	characteristic
289	#953	—	2	1	no	—
290	#953	—	2	1	no	—
291	C₂×#217	—	2	1	no	—
292	#947	—	2	1	no	—
293	#946	—	2	1	no	—
294	#944	—	2	1	no	—
295	#940	—	2	1	no	—
296	#939	—	2	1	no	—
297	#939	—	2	1	no	—
298	#939	—	2	1	no	—
299	#939	—	2	1	no	—
300	#939	—	2	1	no	—
301	#938	—	2	1	no	—
302	#938	—	2	1	no	—
303	#937	—	2	1	no	—
304	#937	—	2	1	no	—
305	#937	—	2	1	no	—
306	#937	—	2	1	no	—
307	#937	—	2	1	no	—
308	#937	—	2	1	no	—
309	#936	—	2	1	no	—
310	#936	—	2	1	no	—
311	#935	—	2	1	no	—
312	#935	—	2	1	no	—
313	#935	—	2	1	no	—
314	D₄×Dic₃	—	2	1	no	—
315	D₄×Dic₃	—	2	1	no	—
316	#930	C₂³	1	1	yes	characteristic
317	#930	C₂³	1	1	yes	characteristic
318	#930	C₂³	1	1	yes	characteristic
319	#930	C₂³	1	1	yes	characteristic
320	#930	C₂³	1	1	yes	characteristic
321	#930	C₂³	1	1	yes	characteristic
322	#930	C₂³	1	1	yes	characteristic
323	#930	C₂³	1	1	yes	characteristic
324	#930	C₂³	1	1	yes	characteristic, complemented
325	#929	—	2	1	no	—
326	#929	—	2	1	no	—
327	C₄×#67	—	2	1	no	—
328	C₄×#67	—	2	1	no	—
329	C₄×#67	—	2	1	no	—
330	C₄×#67	—	2	1	no	—
331	#926	C₂³	1	1	yes	characteristic
332	#926	C₂³	1	1	yes	characteristic
333	#926	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
336	#924	—	2	1	no	—
337	#924	—	2	1	no	—
338	#924	C₂³	1	1	yes	characteristic
339	#924	C₂³	1	1	yes	characteristic
340	#924	C₂³	1	1	yes	characteristic
341	#924	C₂³	1	1	yes	characteristic
342	#924	C₂³	1	1	yes	characteristic
343	#924	C₂³	1	1	yes	characteristic
344	#924	C₂³	1	1	yes	characteristic
345	#924	C₂³	1	1	yes	characteristic
346	#924	C₂³	1	1	yes	characteristic, complemented
347	#924	C₂³	1	1	yes	characteristic, complemented
348	#924	C₂³	1	1	yes	characteristic, complemented
349	C₂×Dic₃⋊C₄	—	2	1	no	—
350	#909	—	4	2	no	—
351	#908	—	4	2	no	—
352	#908	—	4	2	no	—
353	#908	—	4	2	no	—
354	C₂×Dic₁₂	C₂³	1	1	yes	characteristic, complemented
355	C₂×Dic₁₂	C₂³	1	1	yes	characteristic, complemented
356	C₂×Dic₁₂	C₂³	1	1	yes	characteristic, complemented
357	#904	—	4	2	no	—
358	C₂×D₂₄	C₂³	1	1	yes	characteristic
359	C₂×D₂₄	C₂³	1	1	yes	characteristic
360	C₂×D₂₄	C₂³	1	1	yes	characteristic
361	C₂×D₂₄	C₂³	1	1	yes	characteristic
362	C₂×D₂₄	C₂³	1	1	yes	characteristic, complemented
363	C₂×#204	—	4	2	no	—
364	C₂×#204	—	4	2	no	—
365	C₂×#204	—	4	2	no	—
366	C₂×#204	C₂³	1	1	yes	characteristic
367	C₂×#204	C₂³	1	1	yes	characteristic
368	C₂×#204	C₂³	1	1	yes	characteristic
369	C₂×#204	C₂³	1	1	yes	characteristic
370	C₂×#204	C₂³	1	1	yes	characteristic
371	C₂×#204	C₂³	1	1	yes	characteristic
372	C₂×#204	C₂³	1	1	yes	characteristic
373	C₂×#204	C₂³	1	1	yes	characteristic
374	C₂×#204	C₂³	1	1	yes	characteristic
375	C₂×#204	C₂³	1	1	yes	characteristic
376	C₂×#204	C₂³	1	1	yes	characteristic
377	C₂×#204	C₂³	1	1	yes	characteristic
378	C₂×#204	C₂³	1	1	yes	characteristic, complemented
379	C₂×#204	C₂³	1	1	yes	characteristic, complemented
380	C₂×#204	C₂³	1	1	yes	characteristic, complemented
381	C₂×#204	C₂³	1	1	yes	characteristic, complemented
382	#898	—	2	1	no	—
383	#898	—	2	1	no	—
384	#896	—	2	1	no	—
385	#896	—	2	1	no	—
386	#896	—	2	1	no	—
387	#895	—	2	1	no	—
388	#895	—	2	1	no	—
389	#895	—	2	1	no	—
390	#895	—	2	1	no	—
391	#895	—	2	1	no	—
392	#895	—	2	1	no	—
393	#894	—	2	1	no	—
394	#894	—	2	1	no	—
395	#894	—	2	1	no	—
396	#894	—	2	1	no	—
397	#893	—	2	1	no	—
398	#893	—	2	1	no	—
399	D₃×C₄⋊C₄	—	2	1	no	—
400	#890	—	2	1	no	—
401	#889	—	2	1	no	—
402	#889	—	2	1	no	—
403	#889	—	2	1	no	—
404	#888	—	2	1	no	—
405	#887	—	2	1	no	—
406	#885	—	2	1	no	—
407	#885	—	2	1	no	—
408	#885	—	2	1	no	—
409	#884	—	2	1	no	—
410	#884	—	2	1	no	—
411	#884	—	2	1	no	—
412	#884	—	2	1	no	—
413	#883	—	2	1	no	—
414	#883	—	2	1	no	—
415	#883	—	2	1	no	—
416	#883	—	2	1	no	—
417	#882	—	2	1	no	—
418	#882	—	2	1	no	—
419	#882	—	2	1	no	—
420	#882	—	2	1	no	—
421	#882	—	2	1	no	—
422	#882	—	2	1	no	—
423	#882	—	2	1	no	—
424	#882	—	2	1	no	—
425	#882	—	2	1	no	—
426	#882	—	2	1	no	—
427	#67⋊C₄	—	2	1	no	—
428	#67⋊C₄	—	2	1	no	—
429	#67⋊C₄	—	2	1	no	—
430	D₃×C₂²⋊C₄	—	2	1	no	—
431	D₃×C₂²⋊C₄	—	2	1	no	—
432	D₃×C₂²⋊C₄	—	2	1	no	—
433	D₃×C₂²⋊C₄	—	2	1	no	—
434	D₃×C₂²⋊C₄	—	2	1	no	—
435	D₃×C₂²⋊C₄	—	2	1	no	—
436	#879	—	2	1	no	—
437	#879	—	2	1	no	—
438	#879	—	2	1	no	—
439	#879	—	2	1	no	—
440	#879	—	2	1	no	—
441	#878	—	2	1	no	—
442	#878	—	2	1	no	—
443	#878	—	2	1	no	—
444	#878	—	2	1	no	—
445	#877	—	2	1	no	—
446	#875	C₂³	1	1	yes	characteristic
447	#875	C₂³	1	1	yes	characteristic
448	#875	C₂³	1	1	yes	characteristic, complemented
449	#874	C₂³	1	1	yes	characteristic
450	#874	C₂³	1	1	yes	characteristic
451	C₄×D₁₂	C₂³	1	1	yes	characteristic
452	C₄×D₁₂	C₂³	1	1	yes	characteristic
453	C₄×D₁₂	C₂³	1	1	yes	characteristic
454	C₄×D₁₂	C₂³	1	1	yes	characteristic
455	C₄×D₁₂	C₂³	1	1	yes	characteristic, complemented
456	#870	C₂³	1	1	yes	characteristic, complemented
457	#869	C₂³	1	1	yes	characteristic, complemented
458	#869	C₂³	1	1	yes	characteristic, complemented
459	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
460	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
461	C₄×Dic₆	C₂³	1	1	yes	characteristic, complemented
462	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
463	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
464	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
465	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
466	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
472	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
473	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
474	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
475	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
476	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
477	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
478	C₃×#97	C₂³	1	1	yes	characteristic, complemented
479	C₃×#97	C₂³	1	1	yes	characteristic, complemented
480	C₃×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
481	C₃×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
482	#821	C₂³	1	1	yes	characteristic
483	#821	C₂³	1	1	yes	characteristic
484	#821	C₂³	1	1	yes	characteristic
485	#821	C₂³	1	1	yes	characteristic
486	#821	C₂³	1	1	yes	characteristic
487	#821	C₂³	1	1	yes	characteristic
488	#821	C₂³	1	1	yes	characteristic
489	#821	C₂³	1	1	yes	characteristic
490	#821	C₂³	1	1	yes	characteristic
491	#821	C₂³	1	1	yes	characteristic
492	#821	C₂³	1	1	yes	characteristic
493	#821	C₂³	1	1	yes	characteristic
494	#821	C₂³	1	1	yes	characteristic
495	#821	C₂³	1	1	yes	characteristic
496	#821	C₂³	1	1	yes	characteristic
497	#821	C₂³	1	1	yes	characteristic
498	#821	C₂³	1	1	yes	characteristic, complemented
499	#821	C₂³	1	1	yes	characteristic, complemented
500	#821	C₂³	1	1	yes	characteristic, complemented
501	#821	C₂³	1	1	yes	characteristic, complemented
502	#821	C₂³	1	1	yes	characteristic, complemented
503	#821	C₂³	1	1	yes	characteristic, complemented
504	#818	C₂³	1	1	yes	characteristic, complemented
505	#818	C₂³	1	1	yes	characteristic, complemented
506	#818	C₂³	1	1	yes	characteristic, complemented
507	#818	C₂³	1	1	yes	characteristic, complemented
508	#817	C₂³	1	1	yes	characteristic, complemented
509	#817	C₂³	1	1	yes	characteristic, complemented
510	#817	C₂³	1	1	yes	characteristic, complemented
511	#817	C₂³	1	1	yes	characteristic, complemented
512	#816	C₂³	1	1	yes	characteristic, complemented
513	#816	C₂³	1	1	yes	characteristic, complemented
514	#816	C₂³	1	1	yes	characteristic, complemented
515	#816	C₂³	1	1	yes	characteristic, complemented
516	#816	C₂³	1	1	yes	characteristic, complemented
517	#816	C₂³	1	1	yes	characteristic, complemented
518	#816	C₂³	1	1	yes	characteristic, complemented
519	#816	C₂³	1	1	yes	characteristic, complemented
520	#816	C₂³	1	1	yes	characteristic, complemented
521	#816	C₂³	1	1	yes	characteristic, complemented
522	C₂×H(5,𝔽₂)	—	3	1	no	—
523	C₂³×D₄	—	3	1	no	—
524	C₂×#137	—	3	1	no	—
525	C₂×AGL(1,ℤ/8)	—	3	1	no	—
526	C₂×AGL(1,ℤ/8)	—	3	1	no	—
527	C₂×AGL(1,ℤ/8)	—	3	1	no	—
528	C₂×#135	—	3	1	no	—
529	C₂²×SD₁₆	—	3	1	no	—
530	C₂²×SD₁₆	—	3	1	no	—
531	C₂²×SD₁₆	—	3	1	no	—
532	#563	—	6	1	no	—
533	#562	—	6	1	no	—
534	#556	—	3	1	no	—
535	#554	—	3	1	no	—
536	#554	—	6	1	no	—
537	#553	—	3	1	no	—
538	#553	—	6	1	no	—
539	#552	—	3	1	no	—
540	D₄×Q₈	—	3	1	no	—
541	#548	—	3	1	no	—
542	#548	—	3	1	no	—
543	#547	—	3	1	no	—
544	#546	—	3	1	no	—
545	#546	—	3	1	no	—
546	#546	—	3	1	no	—
547	#546	—	3	1	no	—
548	#546	—	6	1	no	—
549	#546	—	6	1	no	—
550	D₄²	—	3	1	no	—
551	D₄²	—	3	1	no	—
552	D₄²	—	3	1	no	—
553	D₄²	—	3	1	no	—
554	D₄²	—	6	1	no	—
555	D₄²	—	6	1	no	—
556	#542	—	3	1	no	—
557	#542	—	6	1	no	—
558	#541	—	3	1	no	—
559	#539	—	6	1	no	—
560	#538	—	6	1	no	—
561	#538	—	6	1	no	—
562	#537	—	3	1	no	—
563	#536	—	3	1	no	—
564	#535	—	3	1	no	—
565	#535	—	3	1	no	—
566	#534	—	6	1	no	—
567	#534	—	6	1	no	—
568	#525	—	3	1	no	—
569	#525	—	3	1	no	—
570	#525	C₂×D₃	1	1	yes	characteristic
571	C₂×C₂²⋊Q₈	—	3	1	no	—
572	C₂×#120	—	6	1	no	—
573	C₂×#120	—	6	1	no	—
574	#518	—	3	1	no	—
575	#497	—	3	1	no	—
576	#496	—	3	1	no	—
577	#495	—	3	1	no	—
578	#492	—	3	1	no	—
579	#490	—	3	1	no	—
580	#489	—	3	1	no	—
581	#488	—	3	1	no	—
582	#486	—	3	1	no	—
583	#485	—	3	1	no	—
584	#485	—	3	1	no	—
585	#485	—	3	1	no	—
586	#485	—	3	1	no	—
587	#484	—	3	1	no	—
588	#482	—	3	1	no	—
589	#482	—	3	1	no	—
590	#482	—	3	1	no	—
591	#482	—	3	1	no	—
592	#481	—	3	1	no	—
593	#481	—	3	1	no	—
594	#480	—	3	1	no	—
595	#478	—	3	1	no	—
596	#478	—	3	1	no	—
597	#476	—	3	1	no	—
598	#474	—	3	1	no	—
599	#470	—	3	1	no	—
600	#470	—	3	1	no	—
601	#469	—	3	1	no	—
602	#468	—	3	1	no	—
603	#468	—	3	1	no	—
604	#468	—	3	1	no	—
605	#468	—	3	1	no	—
606	#468	—	3	1	no	—
607	#467	—	3	1	no	—
608	#466	—	3	1	no	—
609	#466	—	3	1	no	—
610	#465	—	3	1	no	—
611	#465	—	3	1	no	—
612	#465	—	3	1	no	—
613	#465	—	3	1	no	—
614	#465	—	3	1	no	—
615	#464	—	3	1	no	—
616	#464	—	3	1	no	—
617	#464	—	3	1	no	—
618	#463	—	3	1	no	—
619	#463	—	3	1	no	—
620	#463	—	3	1	no	—
621	#461	—	3	1	no	—
622	#461	—	3	1	no	—
623	#460	—	3	1	no	—
624	#460	—	3	1	no	—
625	#460	—	3	1	no	—
626	#459	—	3	1	no	—
627	#452	—	3	1	no	—
628	#452	—	3	1	no	—
629	#452	—	3	1	no	—
630	#452	—	3	1	no	—
631	#452	—	3	1	no	—
632	#452	—	3	1	no	—
633	#452	—	3	1	no	—
634	#451	—	3	1	no	—
635	#450	—	3	1	no	—
636	#450	—	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	#450	—	3	1	no	—
644	#450	—	3	1	no	—
645	#450	—	3	1	no	—
646	#450	—	3	1	no	—
647	#450	—	3	1	no	—
648	#450	—	3	1	no	—
649	#450	—	3	1	no	—
650	#449	—	3	1	no	—
651	#449	—	3	1	no	—
652	#449	—	3	1	no	—
653	#449	—	3	1	no	—
654	#449	—	3	1	no	—
655	#448	—	3	1	no	—
656	#448	—	3	1	no	—
657	#448	—	3	1	no	—
658	#447	—	3	1	no	—
659	#447	—	3	1	no	—
660	#447	—	3	1	no	—
661	#447	—	3	1	no	—
662	#447	—	3	1	no	—
663	#442	—	3	1	no	—
664	#440	—	3	1	no	—
665	#440	—	3	1	no	—
666	#440	—	3	1	no	—
667	C₄×SD₁₆	—	3	1	no	—
668	C₄×SD₁₆	—	3	1	no	—
669	C₄×SD₁₆	—	3	1	no	—
670	C₄×D₈	—	3	1	no	—
671	#436	C₂×D₃	1	1	yes	characteristic, complemented
672	#436	C₂×D₃	1	1	yes	characteristic, complemented
673	#435	C₂×D₃	1	1	yes	characteristic, complemented
674	#435	C₂×D₃	1	1	yes	characteristic, complemented
675	#435	C₂×D₃	1	1	yes	characteristic, complemented
676	#435	C₂×D₃	1	1	yes	characteristic, complemented
677	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
678	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
679	#433	C₂×D₃	1	1	yes	characteristic, complemented
680	#433	C₂×D₃	1	1	yes	characteristic, complemented
681	#418	—	3	1	no	—
682	#418	—	3	1	no	—
683	#418	—	3	1	no	—
684	#417	—	3	1	no	—
685	#416	—	3	1	no	—
686	C₂×#102	—	3	1	no	—
687	C₂×#102	—	3	1	no	—
688	C₂×#102	—	3	1	no	—
689	#408	C₂×D₃	1	1	yes	characteristic, complemented
690	#408	C₂×D₃	1	1	yes	characteristic, complemented
691	#407	C₂×D₃	1	1	yes	characteristic, complemented
692	C₂×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
693	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
694	C₂³×D₃	—	2	1	no	—
695	C₂³×D₃	—	2	1	no	—
696	C₂³×D₃	—	2	1	no	—
697	C₂³×D₃	—	2	1	no	—
698	C₂³×D₃	—	2	1	no	—
699	C₂³×D₃	—	2	1	no	—
700	C₂³×D₃	—	2	1	no	—
701	C₂³×D₃	—	2	1	no	—
702	C₂³×D₃	—	4	4	no	—
703	C₂³×D₃	—	8	2	no	—
704	C₂³×D₃	—	8	2	no	—
705	C₃×#41	—	4	1	no	—
706	C₃×#41	—	4	1	no	—
707	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
708	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
709	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
710	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
711	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
712	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
713	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
714	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
715	C₂²×C₃×C₄	—	4	1	no	—
716	C₂²×C₃×C₄	—	4	1	no	—
717	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
718	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
719	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
720	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
721	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
722	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
723	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
724	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
725	C₂×#67	—	2	1	no	—
726	C₂×#67	—	2	1	no	—
727	C₂×#67	—	2	1	no	—
728	C₂×#67	—	2	1	no	—
729	C₂×#67	—	2	1	no	—
730	C₂×#67	—	2	1	no	—
731	C₂×#67	—	2	1	no	—
732	C₂×#67	—	2	1	no	—
733	C₂×#67	—	2	1	no	—
734	C₂×#67	—	2	1	no	—
735	C₂×#67	—	2	1	no	—
736	C₂×#67	—	2	1	no	—
737	C₂×#67	—	2	1	no	—
738	C₂×#67	—	2	1	no	—
739	C₂²×Dic₃	—	2	1	no	—
740	C₂²×Dic₃	—	2	1	no	—
741	C₂²×Dic₃	—	2	1	no	—
742	C₂²×Dic₃	—	2	1	no	—
743	#239	—	4	4	no	—
744	D₃×D₄	—	4	4	no	—
745	D₃×D₄	—	4	4	no	—
746	D₃×D₄	—	4	4	no	—
747	D₃×D₄	—	8	2	no	—
748	D₃×D₄	—	8	2	no	—
749	D₃×D₄	—	8	2	no	—
750	D₃×D₄	—	8	2	no	—
751	#235	—	2	2	no	—
752	#235	—	2	2	no	—
753	#235	—	4	1	no	—
754	#235	—	4	1	no	—
755	#235	—	4	1	no	—
756	#235	—	4	1	no	—
757	#235	—	4	1	no	—
758	#235	—	4	1	no	—
759	#235	—	4	1	no	—
760	#235	—	4	1	no	—
761	C₂×D₁₂	—	2	1	no	—
762	C₂×D₁₂	—	2	2	no	—
763	C₂×D₁₂	—	2	2	no	—
764	C₂×D₁₂	—	2	2	no	—
765	C₂×D₁₂	—	2	2	no	—
766	C₂×D₁₂	—	2	2	no	—
767	C₂×D₁₂	—	2	2	no	—
768	C₂×D₁₂	—	2	2	no	—
769	C₂×D₁₂	—	2	2	no	—
770	C₂×D₁₂	—	2	1	no	—
771	C₂×D₁₂	—	2	1	no	—
772	C₂×D₁₂	—	2	1	no	—
773	C₂×D₁₂	—	2	1	no	—
774	C₂×D₁₂	—	2	1	no	—
775	C₂×D₁₂	—	2	1	no	—
776	C₂×D₁₂	—	2	1	no	—
777	C₂×D₁₂	—	2	1	no	—
778	C₂×D₁₂	—	2	1	no	—
779	C₂×D₁₂	—	2	1	no	—
780	C₂×D₁₂	—	2	1	no	—
781	C₂×D₁₂	—	4	1	no	—
782	C₂×D₁₂	—	4	1	no	—
783	C₂×D₁₂	—	4	1	no	—
784	C₂×D₁₂	—	4	1	no	—
785	C₂×D₁₂	—	4	1	no	—
786	C₂×D₁₂	—	4	1	no	—
787	C₂×D₁₂	—	4	1	no	—
788	C₂×D₁₂	—	4	1	no	—
789	C₂×D₁₂	—	4	4	no	—
790	C₂×D₁₂	—	4	4	no	—
791	C₂×D₁₂	—	4	4	no	—
792	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
793	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
794	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
795	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
796	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
797	C₂×D₁₂	C₂⁴	1	1	yes	characteristic
798	C₂×C₄×D₃	—	2	1	no	—
799	C₂×C₄×D₃	—	2	1	no	—
800	C₂×C₄×D₃	—	2	1	no	—
801	C₂×C₄×D₃	—	2	1	no	—
802	C₂×C₄×D₃	—	2	1	no	—
803	C₂×C₄×D₃	—	2	1	no	—
804	C₂×C₄×D₃	—	2	1	no	—
805	C₂×C₄×D₃	—	2	1	no	—
806	C₂×C₄×D₃	—	2	1	no	—
807	C₂×C₄×D₃	—	2	1	no	—
808	C₂×Dic₆	—	2	1	no	—
809	C₂×Dic₆	—	2	1	no	—
810	C₂×Dic₆	—	2	1	no	—
811	C₂×Dic₆	—	4	1	no	—
812	C₂×Dic₆	—	4	1	no	—
813	C₂×Dic₆	—	4	1	no	—
814	C₂×Dic₆	—	4	1	no	—
815	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
816	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
817	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
818	C₂×Dic₆	C₂⁴	1	1	yes	characteristic
819	C₃×M₁₆	—	4	1	no	—
820	C₃×M₁₆	—	4	1	no	—
821	C₃×M₁₆	—	4	1	no	—
822	C₃×M₁₆	—	4	1	no	—
823	C₂×C₃×C₈	—	4	1	no	—
824	C₂×C₃×C₈	—	4	1	no	—
825	C₂×C₃×C₈	—	4	1	no	—
826	C₂×C₃×C₈	—	4	1	no	—
827	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
828	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
829	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
830	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
831	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
832	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
833	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
834	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
835	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
836	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
837	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
838	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
839	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
840	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
841	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
842	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
843	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
844	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
845	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
846	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
847	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
848	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
849	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
850	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
851	C₃×C₄²	C₂⁴	1	1	yes	characteristic
852	C₃×C₄²	C₂⁴	1	1	yes	characteristic
853	#217	—	2	1	no	—
854	#217	—	2	1	no	—
855	#217	—	2	1	no	—
856	#217	—	2	1	no	—
857	#217	—	2	1	no	—
858	#217	—	2	1	no	—
859	#217	—	2	1	no	—
860	#217	—	2	1	no	—
861	#217	—	2	1	no	—
862	#217	—	2	1	no	—
863	#217	—	2	1	no	—
864	#217	—	2	1	no	—
865	#217	—	2	1	no	—
866	#217	—	2	1	no	—
867	(C₂×D₃)⋊C₄	—	2	1	no	—
868	(C₂×D₃)⋊C₄	—	2	1	no	—
869	(C₂×D₃)⋊C₄	—	2	1	no	—
870	(C₂×D₃)⋊C₄	—	2	1	no	—
871	(C₂×D₃)⋊C₄	—	2	1	no	—
872	(C₂×D₃)⋊C₄	—	2	1	no	—
873	(C₂×D₃)⋊C₄	—	2	1	no	—
874	(C₂×D₃)⋊C₄	—	2	1	no	—
875	(C₂×D₃)⋊C₄	—	2	1	no	—
876	(C₂×D₃)⋊C₄	—	2	1	no	—
877	(C₂×D₃)⋊C₄	—	2	1	no	—
878	(C₂×D₃)⋊C₄	—	2	1	no	—
879	(C₂×D₃)⋊C₄	—	2	1	no	—
880	(C₂×D₃)⋊C₄	—	2	1	no	—
881	(C₂×D₃)⋊C₄	—	2	1	no	—
882	(C₂×D₃)⋊C₄	—	2	1	no	—
883	(C₂×D₃)⋊C₄	—	2	1	no	—
884	(C₂×D₃)⋊C₄	—	2	1	no	—
885	(C₂×D₃)⋊C₄	—	2	1	no	—
886	(C₂×D₃)⋊C₄	—	2	1	no	—
887	C₄⋊Dic₃	—	2	1	no	—
888	C₄⋊Dic₃	—	2	1	no	—
889	C₄⋊Dic₃	—	2	1	no	—
890	C₄⋊Dic₃	—	2	1	no	—
891	C₄⋊Dic₃	—	2	1	no	—
892	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
893	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
894	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
895	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
896	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
897	C₄⋊Dic₃	C₂⁴	1	1	yes	characteristic
898	Dic₃⋊C₄	—	2	1	no	—
899	Dic₃⋊C₄	—	2	1	no	—
900	Dic₃⋊C₄	—	2	1	no	—
901	Dic₃⋊C₄	—	2	1	no	—
902	Dic₃⋊C₄	—	2	1	no	—
903	Dic₃⋊C₄	—	2	1	no	—
904	Dic₃⋊C₄	—	2	1	no	—
905	Dic₃⋊C₄	—	2	1	no	—
906	Dic₃⋊C₄	—	2	1	no	—
907	Dic₃⋊C₄	—	2	1	no	—
908	Dic₃⋊C₄	—	2	1	no	—
909	Dic₃⋊C₄	—	2	1	no	—
910	Dic₃⋊C₄	—	2	1	no	—
911	Dic₃⋊C₄	—	2	1	no	—
912	Dic₃⋊C₄	—	2	1	no	—
913	Dic₃⋊C₄	—	2	1	no	—
914	C₄×Dic₃	—	2	1	no	—
915	C₄×Dic₃	—	2	1	no	—
916	C₄×Dic₃	—	2	1	no	—
917	C₄×Dic₃	—	2	1	no	—
918	C₄×Dic₃	—	2	1	no	—
919	C₄×Dic₃	—	2	1	no	—
920	Dic₁₂	—	4	1	no	—
921	Dic₁₂	—	4	1	no	—
922	Dic₁₂	—	4	1	no	—
923	D₂₄	—	2	2	no	—
924	D₂₄	—	2	2	no	—
925	D₂₄	—	4	1	no	—
926	D₂₄	—	4	1	no	—
927	D₂₄	—	4	1	no	—
928	#204	—	2	2	no	—
929	#204	—	2	2	no	—
930	#204	—	2	2	no	—
931	#204	—	2	2	no	—
932	#204	—	2	2	no	—
933	#204	—	2	2	no	—
934	#204	—	4	1	no	—
935	#204	—	4	1	no	—
936	#204	—	4	1	no	—
937	#204	—	4	1	no	—
938	#204	—	4	1	no	—
939	#204	—	4	1	no	—
940	#204	—	4	1	no	—
941	#204	—	4	1	no	—
942	#204	—	4	1	no	—
943	#204	—	4	1	no	—
944	C₂⁵	—	6	1	no	—
945	H(5,𝔽₂)	—	12	2	no	—
946	H(5,𝔽₂)	—	12	2	no	—
947	C₂×#41	—	3	1	no	—
948	C₂×#41	—	3	1	no	—
949	C₂×#41	—	3	1	no	—
950	C₂×#41	—	3	1	no	—
951	C₂×#41	—	3	1	no	—
952	C₂×#41	—	6	1	no	—
953	C₂×#41	C₂²×D₃	1	1	yes	characteristic
954	C₂²×Q₈	—	3	1	no	—
955	C₂²×Q₈	—	3	1	no	—
956	C₂²×D₄	—	3	1	no	—
957	C₂²×D₄	—	3	1	no	—
958	C₂²×D₄	—	3	1	no	—
959	C₂²×D₄	—	3	1	no	—
960	C₂²×D₄	—	3	1	no	—
961	C₂²×D₄	—	3	1	no	—
962	C₂²×D₄	—	3	1	no	—
963	C₂²×D₄	—	3	1	no	—
964	C₂²×D₄	—	6	1	no	—
965	C₂²×D₄	—	6	1	no	—
966	C₂²×D₄	—	6	1	no	—
967	C₂²×D₄	—	6	1	no	—
968	C₂²×D₄	—	6	1	no	—
969	C₂²×D₄	—	6	1	no	—
970	C₂²×D₄	—	6	1	no	—
971	C₂²×D₄	—	6	1	no	—
972	C₂²×D₄	—	6	1	no	—
973	C₂²×D₄	—	6	1	no	—
974	C₂²×D₄	—	12	2	no	—
975	C₂²×D₄	—	12	2	no	—
976	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
977	#137	—	12	2	no	—
978	AGL(1,ℤ/8)	—	12	2	no	—
979	AGL(1,ℤ/8)	—	12	2	no	—
980	AGL(1,ℤ/8)	—	12	2	no	—
981	#135	—	12	2	no	—
982	C₂×Q₁₆	—	3	1	no	—
983	C₂×Q₁₆	—	3	1	no	—
984	C₂×Q₁₆	—	3	1	no	—
985	C₂×SD₁₆	—	3	1	no	—
986	C₂×SD₁₆	—	3	1	no	—
987	C₂×SD₁₆	—	3	1	no	—
988	C₂×SD₁₆	—	3	1	no	—
989	C₂×SD₁₆	—	3	1	no	—
990	C₂×SD₁₆	—	3	1	no	—
991	C₂×SD₁₆	—	3	1	no	—
992	C₂×SD₁₆	—	3	1	no	—
993	C₂×SD₁₆	—	3	1	no	—
994	C₂×SD₁₆	—	3	1	no	—
995	C₂×SD₁₆	—	3	1	no	—
996	C₂×SD₁₆	—	3	1	no	—
997	C₂×SD₁₆	—	3	1	no	—
998	C₂×SD₁₆	—	3	1	no	—
999	C₂×SD₁₆	—	3	1	no	—
1000	C₂×SD₁₆	—	3	1	no	—
1001	C₂×SD₁₆	—	12	2	no	—
1002	C₂×SD₁₆	—	12	2	no	—
1003	C₂×SD₁₆	—	12	2	no	—
1004	C₂×D₈	—	3	1	no	—
1005	C₂×D₈	—	3	1	no	—
1006	C₂×D₈	—	3	1	no	—
1007	C₂×D₈	—	3	1	no	—
1008	C₂×D₈	—	3	1	no	—
1009	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
1010	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
1011	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic, complemented
1012	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic, complemented
1013	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1014	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
1015	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1016	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1017	C₄⋊Q₈	—	3	1	no	—
1018	C₄⋊Q₈	—	3	1	no	—
1019	C₄⋊Q₈	—	6	1	no	—
1020	C₄⋊Q₈	—	6	1	no	—
1021	#127	—	3	1	no	—
1022	#127	—	3	1	no	—
1023	#127	—	6	1	no	—
1024	#126	—	6	1	no	—
1025	#126	—	6	1	no	—
1026	#126	—	6	1	no	—
1027	#126	—	6	1	no	—
1028	#126	—	6	1	no	—
1029	#126	—	6	1	no	—
1030	#126	—	6	1	no	—
1031	#125	—	3	1	no	—
1032	#125	—	6	1	no	—
1033	#125	—	6	1	no	—
1034	#125	—	6	1	no	—
1035	#125	—	6	1	no	—
1036	#124	—	3	1	no	—
1037	#124	—	3	1	no	—
1038	#124	—	3	1	no	—
1039	#124	—	6	1	no	—
1040	#124	—	6	1	no	—
1041	#124	—	6	1	no	—
1042	#124	—	6	1	no	—
1043	#124	—	6	1	no	—
1044	#124	—	6	1	no	—
1045	#123	—	6	1	no	—
1046	#123	—	6	1	no	—
1047	#123	—	6	1	no	—
1048	#123	—	6	1	no	—
1049	#123	—	6	1	no	—
1050	#123	—	6	1	no	—
1051	#123	—	6	1	no	—
1052	#123	—	6	1	no	—
1053	#123	—	6	1	no	—
1054	#123	—	6	1	no	—
1055	#123	—	6	1	no	—
1056	#123	—	6	1	no	—
1057	#123	—	6	1	no	—
1058	#123	D₁₂	1	1	yes	characteristic
1059	#123	D₁₂	1	1	yes	characteristic
1060	C₂²⋊Q₈	—	3	1	no	—
1061	C₂²⋊Q₈	—	3	1	no	—
1062	C₂²⋊Q₈	—	3	1	no	—
1063	C₂²⋊Q₈	—	3	1	no	—
1064	C₂²⋊Q₈	—	3	1	no	—
1065	C₂²⋊Q₈	—	3	1	no	—
1066	C₂²⋊Q₈	—	3	1	no	—
1067	C₂²⋊Q₈	—	3	1	no	—
1068	C₂²⋊Q₈	—	3	1	no	—
1069	C₂²⋊Q₈	—	3	1	no	—
1070	C₂²⋊Q₈	—	3	1	no	—
1071	C₂²⋊Q₈	—	6	1	no	—
1072	C₂²⋊Q₈	—	6	1	no	—
1073	C₂²⋊Q₈	—	6	1	no	—
1074	C₂²⋊Q₈	—	6	1	no	—
1075	C₂²⋊Q₈	—	6	1	no	—
1076	C₂²⋊Q₈	—	6	1	no	—
1077	C₂²⋊Q₈	—	6	1	no	—
1078	C₂²⋊Q₈	—	6	1	no	—
1079	C₂²⋊Q₈	—	6	1	no	—
1080	C₂²⋊Q₈	—	6	1	no	—
1081	C₂²⋊Q₈	D₁₂	1	1	yes	characteristic
1082	C₂²⋊Q₈	D₁₂	1	1	yes	characteristic
1083	#121	—	3	1	no	—
1084	#121	—	3	1	no	—
1085	#121	—	3	1	no	—
1086	#121	—	3	1	no	—
1087	#121	—	3	1	no	—
1088	#121	—	3	1	no	—
1089	#121	—	3	1	no	—
1090	#121	—	3	1	no	—
1091	#121	—	3	1	no	—
1092	#121	—	6	1	no	—
1093	#121	—	6	1	no	—
1094	#121	—	6	1	no	—
1095	#121	—	6	1	no	—
1096	#121	—	6	1	no	—
1097	#121	—	6	1	no	—
1098	#121	—	6	1	no	—
1099	#121	—	6	1	no	—
1100	#121	—	6	1	no	—
1101	#121	—	6	1	no	—
1102	#121	—	6	1	no	—
1103	#121	—	6	1	no	—
1104	#121	—	6	1	no	—
1105	#121	—	6	1	no	—
1106	#121	—	6	1	no	—
1107	#121	—	6	1	no	—
1108	#121	—	6	1	no	—
1109	#121	D₁₂	1	1	yes	characteristic
1110	#121	D₁₂	1	1	yes	characteristic
1111	#120	—	6	1	no	—
1112	#120	—	6	1	no	—
1113	#120	—	6	1	no	—
1114	#120	—	6	1	no	—
1115	#120	—	6	1	no	—
1116	#120	—	6	1	no	—
1117	#120	—	6	1	no	—
1118	#120	—	6	1	no	—
1119	#120	—	6	1	no	—
1120	#120	—	6	1	no	—
1121	#120	—	6	1	no	—
1122	#120	—	6	1	no	—
1123	#120	—	6	1	no	—
1124	#120	—	6	1	no	—
1125	#120	—	6	1	no	—
1126	#120	—	6	1	no	—
1127	#120	—	6	1	no	—
1128	#120	—	6	1	no	—
1129	#120	D₁₂	1	1	yes	characteristic
1130	#120	D₁₂	1	1	yes	characteristic
1131	C₄×Q₈	—	3	1	no	—
1132	C₄×Q₈	—	3	1	no	—
1133	C₄×Q₈	—	3	1	no	—
1134	C₄×Q₈	—	6	1	no	—
1135	C₄×D₄	—	3	1	no	—
1136	C₄×D₄	—	3	1	no	—
1137	C₄×D₄	—	3	1	no	—
1138	C₄×D₄	—	3	1	no	—
1139	C₄×D₄	—	3	1	no	—
1140	C₄×D₄	—	6	1	no	—
1141	C₄×D₄	—	6	1	no	—
1142	C₄×D₄	—	6	1	no	—
1143	C₄×D₄	—	6	1	no	—
1144	C₄×D₄	—	6	1	no	—
1145	C₄×D₄	—	6	1	no	—
1146	C₄×D₄	—	6	1	no	—
1147	C₄×D₄	—	6	1	no	—
1148	C₄×D₄	—	6	1	no	—
1149	C₄×D₄	—	6	1	no	—
1150	C₄×D₄	—	6	1	no	—
1151	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1153	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1154	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1155	#117	—	3	1	no	—
1156	#117	—	3	1	no	—
1157	#117	—	3	1	no	—
1158	#117	—	6	1	no	—
1159	#117	C₂²×D₃	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	—	3	1	no	—
1161	C₂×C₄⋊C₄	—	3	1	no	—
1162	C₂×C₄⋊C₄	—	6	1	no	—
1163	C₂×C₄⋊C₄	—	6	1	no	—
1164	C₂×C₂²⋊C₄	—	6	1	no	—
1165	C₂×C₂²⋊C₄	—	6	1	no	—
1166	C₂×C₂²⋊C₄	—	6	1	no	—
1167	C₂×C₂²⋊C₄	—	6	1	no	—
1168	C₂×C₂²⋊C₄	—	6	1	no	—
1169	C₂×C₂²⋊C₄	—	6	1	no	—
1170	C₂×C₂²⋊C₄	—	6	1	no	—
1171	#107	—	3	1	no	—
1172	#107	—	3	1	no	—
1173	#107	—	3	1	no	—
1174	#107	—	3	1	no	—
1175	#106	—	3	1	no	—
1176	#106	—	3	1	no	—
1177	#106	—	3	1	no	—
1178	#106	—	3	1	no	—
1179	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1180	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1181	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1182	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1183	#103	—	3	1	no	—
1184	#103	—	3	1	no	—
1185	#103	—	3	1	no	—
1186	#103	—	3	1	no	—
1187	#103	—	3	1	no	—
1188	#103	—	3	1	no	—
1189	#103	—	3	1	no	—
1190	#103	—	3	1	no	—
1191	#103	—	3	1	no	—
1192	#103	—	3	1	no	—
1193	#102	—	3	1	no	—
1194	#102	—	3	1	no	—
1195	#102	—	3	1	no	—
1196	#102	—	3	1	no	—
1197	#102	—	3	1	no	—
1198	#102	—	3	1	no	—
1199	#102	—	3	1	no	—
1200	#102	—	3	1	no	—
1201	#102	—	3	1	no	—
1202	#102	—	3	1	no	—
1203	#102	—	3	1	no	—
1204	#102	—	3	1	no	—
1205	#102	—	3	1	no	—
1206	#102	—	3	1	no	—
1207	#102	—	3	1	no	—
1208	#102	—	3	1	no	—
1209	#102	—	3	1	no	—
1210	#102	—	3	1	no	—
1211	#102	—	3	1	no	—
1212	#102	—	3	1	no	—
1213	#102	—	3	1	no	—
1214	#102	—	3	1	no	—
1215	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1216	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1217	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1218	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1222	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1223	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1224	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1225	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1226	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1227	#97	C₂²×D₃	1	1	yes	characteristic, complemented
1228	#97	C₂²×D₃	1	1	yes	characteristic, complemented
1229	C₄×C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1230	C₄×C₈	C₂²×D₃	1	1	yes	characteristic, complemented
1231	C₂³×C₃	—	2	2	no	—
1232	C₂³×C₃	—	4	1	no	—
1233	C₂³×C₃	—	4	1	no	—
1234	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1235	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1236	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1237	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1238	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1239	C₂²×D₃	—	2	1	no	—
1240	C₂²×D₃	—	2	1	no	—
1241	C₂²×D₃	—	2	4	no	—
1242	C₂²×D₃	—	2	1	no	—
1243	C₂²×D₃	—	2	1	no	—
1244	C₂²×D₃	—	2	1	no	—
1245	C₂²×D₃	—	2	1	no	—
1246	C₂²×D₃	—	4	2	no	—
1247	C₂²×D₃	—	4	2	no	—
1248	C₂²×D₃	—	4	2	no	—
1249	C₂²×D₃	—	4	2	no	—
1250	C₂²×D₃	—	4	2	no	—
1251	C₂²×D₃	—	4	2	no	—
1252	C₂²×D₃	—	4	2	no	—
1253	C₂²×D₃	—	4	2	no	—
1254	C₂²×D₃	—	4	2	no	—
1255	C₂²×D₃	—	4	2	no	—
1256	C₂²×D₃	—	4	2	no	—
1257	C₂²×D₃	—	8	1	no	—
1258	C₂²×D₃	—	8	1	no	—
1259	C₂²×D₃	—	8	1	no	—
1260	C₂²×D₃	—	8	1	no	—
1261	C₂²×D₃	—	8	1	no	—
1262	C₂²×D₃	—	8	1	no	—
1263	C₂²×D₃	—	8	1	no	—
1264	C₂²×D₃	—	8	1	no	—
1265	C₂²×D₃	—	8	1	no	—
1266	C₂²×D₃	—	8	1	no	—
1267	C₂²×D₃	—	8	1	no	—
1268	C₂²×D₃	—	8	1	no	—
1269	C₂²×D₃	—	8	16	no	—
1270	C₃×Q₈	—	4	1	no	—
1271	C₃×D₄	—	2	2	no	—
1272	C₃×D₄	—	2	2	no	—
1273	C₃×D₄	—	4	1	no	—
1274	C₃×D₄	—	4	1	no	—
1275	C₃×D₄	—	4	1	no	—
1276	C₃×D₄	—	4	1	no	—
1277	C₃×D₄	—	4	1	no	—
1278	C₂×C₃×C₄	—	2	1	no	—
1279	C₂×C₃×C₄	—	2	1	no	—
1280	C₂×C₃×C₄	—	2	1	no	—
1281	C₂×C₃×C₄	—	2	1	no	—
1282	C₂×C₃×C₄	—	2	1	no	—
1283	C₂×C₃×C₄	—	2	1	no	—
1284	C₂×C₃×C₄	—	2	1	no	—
1285	C₂×C₃×C₄	—	2	1	no	—
1286	C₂×C₃×C₄	—	2	1	no	—
1287	C₂×C₃×C₄	—	2	1	no	—
1288	C₂×C₃×C₄	—	4	1	no	—
1289	C₂×C₃×C₄	—	4	1	no	—
1290	C₂×C₃×C₄	—	4	1	no	—
1291	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1292	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1293	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1294	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1295	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1296	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1297	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1298	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1299	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1300	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1301	#67	—	4	2	no	—
1302	#67	—	4	2	no	—
1303	#67	—	4	2	no	—
1304	#67	—	4	2	no	—
1305	#67	—	4	2	no	—
1306	#67	—	4	2	no	—
1307	#67	—	8	1	no	—
1308	#67	—	8	1	no	—
1309	#67	—	8	1	no	—
1310	#67	—	8	1	no	—
1311	#67	—	8	1	no	—
1312	#67	—	8	1	no	—
1313	#67	—	8	1	no	—
1314	#67	—	8	1	no	—
1315	C₂×Dic₃	—	2	1	no	—
1316	C₂×Dic₃	—	2	1	no	—
1317	C₂×Dic₃	—	2	1	no	—
1318	C₂×Dic₃	—	2	1	no	—
1319	C₂×Dic₃	—	2	1	no	—
1320	C₂×Dic₃	—	2	1	no	—
1321	C₂×Dic₃	—	2	1	no	—
1322	C₂×Dic₃	—	2	1	no	—
1323	C₂×Dic₃	—	2	1	no	—
1324	C₂×Dic₃	—	2	1	no	—
1325	C₂×Dic₃	—	8	1	no	—
1326	C₂×Dic₃	—	8	1	no	—
1327	C₂×Dic₃	—	8	1	no	—
1328	C₂×Dic₃	—	8	1	no	—
1329	D₁₂	—	2	4	no	—
1330	D₁₂	—	2	1	no	—
1331	D₁₂	—	2	1	no	—
1332	D₁₂	—	2	1	no	—
1333	D₁₂	—	2	1	no	—
1334	D₁₂	—	2	1	no	—
1335	D₁₂	—	2	1	no	—
1336	D₁₂	—	2	1	no	—
1337	D₁₂	—	2	1	no	—
1338	D₁₂	—	2	1	no	—
1339	D₁₂	—	2	1	no	—
1340	D₁₂	—	4	2	no	—
1341	D₁₂	—	4	2	no	—
1342	D₁₂	—	4	2	no	—
1343	D₁₂	—	4	2	no	—
1344	D₁₂	—	4	2	no	—
1345	D₁₂	—	4	2	no	—
1346	D₁₂	—	4	2	no	—
1347	D₁₂	—	8	1	no	—
1348	D₁₂	—	8	1	no	—
1349	D₁₂	—	8	1	no	—
1350	D₁₂	—	8	1	no	—
1351	D₁₂	H(5,𝔽₂)	1	2	yes	—
1352	D₁₂	H(5,𝔽₂)	1	2	yes	—
1353	C₄×D₃	—	4	2	no	—
1354	C₄×D₃	—	4	2	no	—
1355	C₄×D₃	—	4	2	no	—
1356	C₄×D₃	—	8	1	no	—
1357	C₄×D₃	—	8	1	no	—
1358	C₄×D₃	—	8	1	no	—
1359	C₄×D₃	—	8	1	no	—
1360	C₄×D₃	—	8	1	no	—
1361	C₄×D₃	—	8	1	no	—
1362	C₄×D₃	—	8	1	no	—
1363	Dic₆	—	2	1	no	—
1364	Dic₆	—	2	1	no	—
1365	Dic₆	—	2	1	no	—
1366	Dic₆	—	2	1	no	—
1367	Dic₆	—	2	1	no	—
1368	Dic₆	—	2	1	no	—
1369	Dic₆	—	2	1	no	—
1370	Dic₆	—	2	1	no	—
1371	Dic₆	—	8	1	no	—
1372	Dic₆	—	8	1	no	—
1373	Dic₆	—	8	1	no	—
1374	C₃×C₈	—	2	1	no	—
1375	C₃×C₈	—	2	1	no	—
1376	C₃×C₈	—	2	1	no	—
1377	C₃×C₈	—	2	1	no	—
1378	C₃×C₈	—	2	1	no	—
1379	C₃×C₈	—	2	1	no	—
1380	C₃×C₈	—	2	1	no	—
1381	C₃×C₈	—	2	1	no	—
1382	C₂⁴	—	6	1	no	—
1383	C₂⁴	—	6	1	no	—
1384	C₂⁴	—	6	1	no	—
1385	C₂⁴	—	6	1	no	—
1386	C₂⁴	—	6	1	no	—
1387	C₂⁴	—	6	1	no	—
1388	C₂⁴	—	6	1	no	—
1389	C₂⁴	—	6	1	no	—
1390	C₂⁴	—	12	4	no	—
1391	C₂⁴	—	24	2	no	—
1392	C₂⁴	—	24	2	no	—
1393	C₂⁴	C₂×D₁₂	1	1	yes	characteristic
1394	#41	—	4	1	no	—
1395	#41	—	4	1	no	—
1396	#41	—	6	2	no	—
1397	#41	—	6	2	no	—
1398	#41	—	12	1	no	—
1399	#41	—	12	1	no	—
1400	#41	—	12	1	no	—
1401	#41	—	12	1	no	—
1402	#41	—	12	1	no	—
1403	#41	—	12	1	no	—
1404	#41	—	12	1	no	—
1405	#41	—	12	1	no	—
1406	#41	—	12	4	no	—
1407	C₂×Q₈	—	3	1	no	—
1408	C₂×Q₈	—	3	1	no	—
1409	C₂×Q₈	—	3	1	no	—
1410	C₂×Q₈	—	3	1	no	—
1411	C₂×Q₈	—	6	1	no	—
1412	C₂×Q₈	—	6	1	no	—
1413	C₂×Q₈	—	6	1	no	—
1414	C₂×Q₈	—	12	1	no	—
1415	C₂×Q₈	—	12	1	no	—
1416	C₂×Q₈	—	12	1	no	—
1417	C₂×Q₈	—	12	1	no	—
1418	C₂×Q₈	C₂×D₁₂	1	1	yes	characteristic
1419	C₂×D₄	—	3	1	no	—
1420	C₂×D₄	—	3	1	no	—
1421	C₂×D₄	—	3	1	no	—
1422	C₂×D₄	—	3	1	no	—
1423	C₂×D₄	—	3	1	no	—
1424	C₂×D₄	—	3	1	no	—
1425	C₂×D₄	—	6	2	no	—
1426	C₂×D₄	—	6	2	no	—
1427	C₂×D₄	—	6	2	no	—
1428	C₂×D₄	—	6	2	no	—
1429	C₂×D₄	—	6	2	no	—
1430	C₂×D₄	—	6	2	no	—
1431	C₂×D₄	—	6	2	no	—
1432	C₂×D₄	—	6	2	no	—
1433	C₂×D₄	—	6	1	no	—
1434	C₂×D₄	—	6	1	no	—
1435	C₂×D₄	—	6	1	no	—
1436	C₂×D₄	—	6	1	no	—
1437	C₂×D₄	—	6	1	no	—
1438	C₂×D₄	—	6	1	no	—
1439	C₂×D₄	—	6	1	no	—
1440	C₂×D₄	—	6	1	no	—
1441	C₂×D₄	—	6	1	no	—
1442	C₂×D₄	—	6	1	no	—
1443	C₂×D₄	—	6	1	no	—
1444	C₂×D₄	—	6	1	no	—
1445	C₂×D₄	—	6	1	no	—
1446	C₂×D₄	—	6	1	no	—
1447	C₂×D₄	—	6	1	no	—
1448	C₂×D₄	—	6	1	no	—
1449	C₂×D₄	—	6	1	no	—
1450	C₂×D₄	—	6	1	no	—
1451	C₂×D₄	—	6	1	no	—
1452	C₂×D₄	—	6	1	no	—
1453	C₂×D₄	—	6	1	no	—
1454	C₂×D₄	—	6	1	no	—
1455	C₂×D₄	—	6	1	no	—
1456	C₂×D₄	—	6	1	no	—
1457	C₂×D₄	—	6	1	no	—
1458	C₂×D₄	—	6	1	no	—
1459	C₂×D₄	—	12	1	no	—
1460	C₂×D₄	—	12	1	no	—
1461	C₂×D₄	—	12	1	no	—
1462	C₂×D₄	—	12	1	no	—
1463	C₂×D₄	—	12	1	no	—
1464	C₂×D₄	—	12	1	no	—
1465	C₂×D₄	—	12	1	no	—
1466	C₂×D₄	—	12	1	no	—
1467	C₂×D₄	—	12	4	no	—
1468	C₂×D₄	—	12	4	no	—
1469	C₂×D₄	—	12	4	no	—
1470	C₂×D₄	—	12	4	no	—
1471	C₂×D₄	—	12	4	no	—
1472	C₂×D₄	—	12	4	no	—
1473	C₂×D₄	—	24	2	no	—
1474	C₂×D₄	—	24	2	no	—
1475	C₂×D₄	—	24	2	no	—
1476	C₂×D₄	—	24	2	no	—
1477	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1478	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1479	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1480	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1481	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1482	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1483	C₂×D₄	C₂×D₁₂	1	1	yes	characteristic
1484	C₂²×C₄	—	4	1	no	—
1485	C₂²×C₄	—	4	1	no	—
1486	C₂²×C₄	—	6	1	no	—
1487	C₂²×C₄	—	6	1	no	—
1488	C₂²×C₄	—	6	1	no	—
1489	C₂²×C₄	—	6	1	no	—
1490	C₂²×C₄	—	6	1	no	—
1491	C₂²×C₄	—	6	1	no	—
1492	C₂²×C₄	—	6	1	no	—
1493	C₂²×C₄	—	6	1	no	—
1494	C₂²×C₄	—	6	1	no	—
1495	C₂²×C₄	—	6	1	no	—
1496	C₂²×C₄	—	6	1	no	—
1497	C₂²×C₄	—	6	1	no	—
1498	C₂²×C₄	—	6	1	no	—
1499	C₂²×C₄	—	6	1	no	—
1500	C₂²×C₄	C₂×D₁₂	1	1	yes	characteristic
1501	C₂²×C₄	C₂×D₁₂	1	1	yes	characteristic
1502	C₂²×C₄	C₂×D₁₂	1	1	yes	characteristic
1503	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1504	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1506	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1507	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1508	Q₁₆	—	12	1	no	—
1509	Q₁₆	—	12	1	no	—
1510	Q₁₆	—	12	1	no	—
1511	SD₁₆	—	6	2	no	—
1512	SD₁₆	—	6	2	no	—
1513	SD₁₆	—	6	2	no	—
1514	SD₁₆	—	6	2	no	—
1515	SD₁₆	—	6	2	no	—
1516	SD₁₆	—	6	2	no	—
1517	SD₁₆	—	12	1	no	—
1518	SD₁₆	—	12	1	no	—
1519	SD₁₆	—	12	1	no	—
1520	SD₁₆	—	12	1	no	—
1521	SD₁₆	—	12	1	no	—
1522	SD₁₆	—	12	1	no	—
1523	SD₁₆	—	12	1	no	—
1524	SD₁₆	—	12	1	no	—
1525	SD₁₆	—	12	1	no	—
1526	SD₁₆	—	12	1	no	—
1527	D₈	—	6	2	no	—
1528	D₈	—	6	2	no	—
1529	D₈	—	12	1	no	—
1530	D₈	—	12	1	no	—
1531	D₈	—	12	1	no	—
1532	M₁₆	—	4	1	no	—
1533	M₁₆	—	4	1	no	—
1534	M₁₆	—	4	1	no	—
1535	M₁₆	—	4	1	no	—
1536	C₂×C₈	—	4	1	no	—
1537	C₂×C₈	—	4	1	no	—
1538	C₂×C₈	—	4	1	no	—
1539	C₂×C₈	—	4	1	no	—
1540	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1541	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1542	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1543	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1544	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1545	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1546	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1547	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1548	C₄⋊C₄	—	3	1	no	—
1549	C₄⋊C₄	—	3	1	no	—
1550	C₄⋊C₄	—	3	1	no	—
1551	C₄⋊C₄	—	3	1	no	—
1552	C₄⋊C₄	—	3	1	no	—
1553	C₄⋊C₄	—	3	1	no	—
1554	C₄⋊C₄	—	6	1	no	—
1555	C₄⋊C₄	—	6	1	no	—
1556	C₄⋊C₄	—	6	1	no	—
1557	C₄⋊C₄	—	6	1	no	—
1558	C₄⋊C₄	—	6	1	no	—
1559	C₄⋊C₄	—	6	1	no	—
1560	C₄⋊C₄	—	6	1	no	—
1561	C₄⋊C₄	—	6	1	no	—
1562	C₄⋊C₄	—	6	1	no	—
1563	C₄⋊C₄	—	6	1	no	—
1564	C₄⋊C₄	—	6	1	no	—
1565	C₄⋊C₄	—	6	1	no	—
1566	C₄⋊C₄	—	6	1	no	—
1567	C₄⋊C₄	—	6	1	no	—
1568	C₄⋊C₄	—	6	1	no	—
1569	C₄⋊C₄	—	6	1	no	—
1570	C₄⋊C₄	—	6	1	no	—
1571	C₄⋊C₄	—	6	1	no	—
1572	C₄⋊C₄	—	6	1	no	—
1573	C₄⋊C₄	—	6	1	no	—
1574	C₄⋊C₄	—	6	1	no	—
1575	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1578	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1579	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1580	C₄⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1581	C₂²⋊C₄	—	6	1	no	—
1582	C₂²⋊C₄	—	6	1	no	—
1583	C₂²⋊C₄	—	6	1	no	—
1584	C₂²⋊C₄	—	6	1	no	—
1585	C₂²⋊C₄	—	6	1	no	—
1586	C₂²⋊C₄	—	6	1	no	—
1587	C₂²⋊C₄	—	6	1	no	—
1588	C₂²⋊C₄	—	6	1	no	—
1589	C₂²⋊C₄	—	6	1	no	—
1590	C₂²⋊C₄	—	6	1	no	—
1591	C₂²⋊C₄	—	6	1	no	—
1592	C₂²⋊C₄	—	6	1	no	—
1593	C₂²⋊C₄	—	6	1	no	—
1594	C₂²⋊C₄	—	6	1	no	—
1595	C₂²⋊C₄	—	6	1	no	—
1596	C₂²⋊C₄	—	6	1	no	—
1597	C₂²⋊C₄	—	6	1	no	—
1598	C₂²⋊C₄	—	6	1	no	—
1599	C₂²⋊C₄	—	6	1	no	—
1600	C₂²⋊C₄	—	6	1	no	—
1601	C₂²⋊C₄	—	6	1	no	—
1602	C₂²⋊C₄	—	6	1	no	—
1603	C₂²⋊C₄	—	6	1	no	—
1604	C₂²⋊C₄	—	6	1	no	—
1605	C₂²⋊C₄	—	6	1	no	—
1606	C₂²⋊C₄	—	6	1	no	—
1607	C₂²⋊C₄	—	6	1	no	—
1608	C₂²⋊C₄	—	6	1	no	—
1609	C₂²⋊C₄	—	6	1	no	—
1610	C₂²⋊C₄	—	6	1	no	—
1611	C₂²⋊C₄	—	6	1	no	—
1612	C₂²⋊C₄	—	6	1	no	—
1613	C₂²⋊C₄	—	6	1	no	—
1614	C₂²⋊C₄	—	6	1	no	—
1615	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1616	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1617	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×D₁₂	1	1	yes	characteristic
1625	C₄²	—	6	1	no	—
1626	C₄²	—	6	1	no	—
1627	C₄²	—	6	1	no	—
1628	C₄²	—	6	1	no	—
1629	C₄²	—	6	1	no	—
1630	C₄²	—	6	1	no	—
1631	C₄²	C₂³×D₃	1	1	yes	characteristic
1632	C₄²	C₂³×D₃	1	1	yes	characteristic
1633	C₂²×C₃	—	2	1	no	—
1634	C₂²×C₃	—	2	1	no	—
1635	C₂²×C₃	—	2	1	no	—
1636	C₂²×C₃	—	2	1	no	—
1637	C₂²×C₃	—	2	1	no	—
1638	C₂²×C₃	—	2	1	no	—
1639	C₂²×C₃	—	2	1	no	—
1640	C₂²×C₃	—	2	1	no	—
1641	C₂²×C₃	—	2	1	no	—
1642	C₂²×C₃	—	2	1	no	—
1643	C₂²×C₃	—	2	1	no	—
1644	C₂²×C₃	—	2	1	no	—
1645	C₂²×C₃	—	2	1	no	—
1646	C₂²×C₃	—	2	1	no	—
1647	C₂²×C₃	—	4	4	no	—
1648	C₂²×C₃	#577	1	2	yes	—
1649	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1650	C₂×D₃	—	2	2	no	—
1651	C₂×D₃	—	2	2	no	—
1652	C₂×D₃	—	4	1	no	—
1653	C₂×D₃	—	4	1	no	—
1654	C₂×D₃	—	4	1	no	—
1655	C₂×D₃	—	4	1	no	—
1656	C₂×D₃	—	4	1	no	—
1657	C₂×D₃	—	4	1	no	—
1658	C₂×D₃	—	4	1	no	—
1659	C₂×D₃	—	4	1	no	—
1660	C₂×D₃	—	4	1	no	—
1661	C₂×D₃	—	4	1	no	—
1662	C₂×D₃	—	4	1	no	—
1663	C₂×D₃	—	4	1	no	—
1664	C₂×D₃	—	4	1	no	—
1665	C₂×D₃	—	4	1	no	—
1666	C₂×D₃	—	4	1	no	—
1667	C₂×D₃	—	4	1	no	—
1668	C₂×D₃	—	8	4	no	—
1669	C₂×D₃	—	8	4	no	—
1670	C₂×D₃	—	8	4	no	—
1671	C₂×D₃	—	8	4	no	—
1672	C₂×D₃	—	8	4	no	—
1673	C₂×D₃	—	8	4	no	—
1674	C₂×D₃	—	16	2	no	—
1675	C₂×D₃	—	16	2	no	—
1676	C₃×C₄	—	2	1	no	—
1677	C₃×C₄	—	2	1	no	—
1678	C₃×C₄	—	2	1	no	—
1679	C₃×C₄	—	2	1	no	—
1680	C₃×C₄	—	2	1	no	—
1681	C₃×C₄	—	2	1	no	—
1682	C₃×C₄	—	2	1	no	—
1683	C₃×C₄	—	2	1	no	—
1684	C₃×C₄	—	2	1	no	—
1685	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1686	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1687	Dic₃	—	4	1	no	—
1688	Dic₃	—	4	1	no	—
1689	Dic₃	—	4	1	no	—
1690	Dic₃	—	4	1	no	—
1691	Dic₃	—	4	1	no	—
1692	Dic₃	—	4	1	no	—
1693	Dic₃	—	4	1	no	—
1694	Dic₃	—	4	1	no	—
1695	Dic₃	—	4	1	no	—
1696	Dic₃	—	4	1	no	—
1697	C₂³	—	2	2	no	—
1698	C₂³	—	4	1	no	—
1699	C₂³	—	4	1	no	—
1700	C₂³	—	6	4	no	—
1701	C₂³	—	6	1	no	—
1702	C₂³	—	6	1	no	—
1703	C₂³	—	6	1	no	—
1704	C₂³	—	6	1	no	—
1705	C₂³	—	6	1	no	—
1706	C₂³	—	6	1	no	—
1707	C₂³	—	12	2	no	—
1708	C₂³	—	12	2	no	—
1709	C₂³	—	12	2	no	—
1710	C₂³	—	12	2	no	—
1711	C₂³	—	12	2	no	—
1712	C₂³	—	12	2	no	—
1713	C₂³	—	12	2	no	—
1714	C₂³	—	12	2	no	—
1715	C₂³	—	12	2	no	—
1716	C₂³	—	12	2	no	—
1717	C₂³	—	12	2	no	—
1718	C₂³	—	24	1	no	—
1719	C₂³	—	24	1	no	—
1720	C₂³	—	24	1	no	—
1721	C₂³	—	24	1	no	—
1722	C₂³	—	24	1	no	—
1723	C₂³	—	24	1	no	—
1724	C₂³	—	24	1	no	—
1725	C₂³	—	24	1	no	—
1726	C₂³	—	24	1	no	—
1727	C₂³	—	24	1	no	—
1728	C₂³	—	24	1	no	—
1729	C₂³	—	24	1	no	—
1730	C₂³	—	24	16	no	—
1731	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1732	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1733	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1734	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1735	C₂³	C₂²×D₁₂	1	1	yes	characteristic
1736	Q₈	—	4	1	no	—
1737	Q₈	—	6	1	no	—
1738	Q₈	—	6	1	no	—
1739	Q₈	—	6	1	no	—
1740	Q₈	—	6	1	no	—
1741	Q₈	—	6	1	no	—
1742	Q₈	—	6	1	no	—
1743	Q₈	—	6	1	no	—
1744	Q₈	—	6	1	no	—
1745	Q₈	—	24	1	no	—
1746	Q₈	—	24	1	no	—
1747	Q₈	—	24	1	no	—
1748	D₄	—	2	2	no	—
1749	D₄	—	2	2	no	—
1750	D₄	—	3	2	no	—
1751	D₄	—	3	2	no	—
1752	D₄	—	4	1	no	—
1753	D₄	—	4	1	no	—
1754	D₄	—	4	1	no	—
1755	D₄	—	4	1	no	—
1756	D₄	—	4	1	no	—
1757	D₄	—	6	4	no	—
1758	D₄	—	6	1	no	—
1759	D₄	—	6	1	no	—
1760	D₄	—	6	1	no	—
1761	D₄	—	6	1	no	—
1762	D₄	—	6	1	no	—
1763	D₄	—	6	1	no	—
1764	D₄	—	6	1	no	—
1765	D₄	—	6	1	no	—
1766	D₄	—	6	1	no	—
1767	D₄	—	6	1	no	—
1768	D₄	—	12	2	no	—
1769	D₄	—	12	2	no	—
1770	D₄	—	12	2	no	—
1771	D₄	—	12	2	no	—
1772	D₄	—	12	2	no	—
1773	D₄	—	12	2	no	—
1774	D₄	—	12	2	no	—
1775	D₄	—	12	2	no	—
1776	D₄	—	12	2	no	—
1777	D₄	—	12	2	no	—
1778	D₄	—	12	2	no	—
1779	D₄	—	12	2	no	—
1780	D₄	—	12	2	no	—
1781	D₄	—	24	1	no	—
1782	D₄	—	24	1	no	—
1783	D₄	—	24	1	no	—
1784	D₄	—	24	1	no	—
1785	D₄	—	24	1	no	—
1786	D₄	—	24	1	no	—
1787	D₄	—	24	1	no	—
1788	D₄	—	24	1	no	—
1789	D₄	—	24	1	no	—
1790	D₄	—	24	1	no	—
1791	D₄	—	24	1	no	—
1792	D₄	—	24	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	4	1	no	—
1804	C₂×C₄	—	4	1	no	—
1805	C₂×C₄	—	4	1	no	—
1806	C₂×C₄	—	6	1	no	—
1807	C₂×C₄	—	6	1	no	—
1808	C₂×C₄	—	6	1	no	—
1809	C₂×C₄	—	6	1	no	—
1810	C₂×C₄	—	6	1	no	—
1811	C₂×C₄	—	6	1	no	—
1812	C₂×C₄	—	6	1	no	—
1813	C₂×C₄	—	6	1	no	—
1814	C₂×C₄	—	6	1	no	—
1815	C₂×C₄	—	6	1	no	—
1816	C₂×C₄	—	12	2	no	—
1817	C₂×C₄	—	12	2	no	—
1818	C₂×C₄	—	12	2	no	—
1819	C₂×C₄	—	24	1	no	—
1820	C₂×C₄	—	24	1	no	—
1821	C₂×C₄	—	24	1	no	—
1822	C₂×C₄	—	24	1	no	—
1823	C₂×C₄	—	24	1	no	—
1824	C₂×C₄	—	24	1	no	—
1825	C₂×C₄	—	24	1	no	—
1826	C₂×C₄	—	24	1	no	—
1827	C₂×C₄	—	24	1	no	—
1828	C₂×C₄	—	24	1	no	—
1829	C₂×C₄	—	24	1	no	—
1830	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1831	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1832	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1833	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1834	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1835	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1836	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1837	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1838	C₂×C₄	C₂²×D₁₂	1	1	yes	characteristic
1839	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1840	C₈	—	2	1	no	—
1841	C₈	—	2	1	no	—
1842	C₈	—	2	1	no	—
1843	C₈	—	2	1	no	—
1844	C₈	—	2	1	no	—
1845	C₈	—	2	1	no	—
1846	C₈	—	2	1	no	—
1847	C₈	—	2	1	no	—
1848	C₂×C₃	—	2	2	no	—
1849	C₂×C₃	—	4	1	no	—
1850	C₂×C₃	—	4	1	no	—
1851	C₂×C₃	—	4	1	no	—
1852	C₂×C₃	—	4	1	no	—
1853	C₂×C₃	#3484	1	1	yes	characteristic
1854	C₂×C₃	C₂×#577	1	1	yes	characteristic
1855	C₂×C₃	#3585	1	1	yes	characteristic
1856	D₃	—	4	2	no	—
1857	D₃	—	4	2	no	—
1858	D₃	—	8	1	no	—
1859	D₃	—	8	1	no	—
1860	D₃	—	8	1	no	—
1861	D₃	—	8	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	4	4	no	—
1877	C₂²	—	6	2	no	—
1878	C₂²	—	6	2	no	—
1879	C₂²	—	12	1	no	—
1880	C₂²	—	12	1	no	—
1881	C₂²	—	12	1	no	—
1882	C₂²	—	12	1	no	—
1883	C₂²	—	12	1	no	—
1884	C₂²	—	12	1	no	—
1885	C₂²	—	12	1	no	—
1886	C₂²	—	12	1	no	—
1887	C₂²	—	12	1	no	—
1888	C₂²	—	12	1	no	—
1889	C₂²	—	12	1	no	—
1890	C₂²	—	12	1	no	—
1891	C₂²	—	12	1	no	—
1892	C₂²	—	12	1	no	—
1893	C₂²	—	12	1	no	—
1894	C₂²	—	12	1	no	—
1895	C₂²	—	24	4	no	—
1896	C₂²	—	24	4	no	—
1897	C₂²	—	24	4	no	—
1898	C₂²	—	24	4	no	—
1899	C₂²	—	24	4	no	—
1900	C₂²	—	24	4	no	—
1901	C₂²	—	48	2	no	—
1902	C₂²	—	48	2	no	—
1903	C₂²	#5751	1	2	yes	—
1904	C₂²	C₂³×D₁₂	1	1	yes	characteristic
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	2	1	no	—
1908	C₄	—	2	1	no	—
1909	C₄	—	2	1	no	—
1910	C₄	—	2	1	no	—
1911	C₄	—	2	1	no	—
1912	C₄	—	2	1	no	—
1913	C₄	—	2	1	no	—
1914	C₄	—	12	1	no	—
1915	C₄	—	12	1	no	—
1916	C₄	—	12	1	no	—
1917	C₄	—	12	1	no	—
1918	C₄	—	12	1	no	—
1919	C₄	—	12	1	no	—
1920	C₄	—	12	1	no	—
1921	C₄	—	12	1	no	—
1922	C₄	—	12	1	no	—
1923	C₄	—	12	1	no	—
1924	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1925	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1926	C₃	#61610	1	1	yes	characteristic, complemented, Sylow
1927	C₂	—	2	2	no	—
1928	C₂	—	4	1	no	—
1929	C₂	—	4	1	no	—
1930	C₂	—	4	1	no	—
1931	C₂	—	4	1	no	—
1932	C₂	—	12	2	no	—
1933	C₂	—	12	2	no	—
1934	C₂	—	24	1	no	—
1935	C₂	—	24	1	no	—
1936	C₂	—	24	1	no	—
1937	C₂	—	24	1	no	—
1938	C₂	#85867	1	1	yes	characteristic
1939	C₂	C₂×#5751	1	1	yes	characteristic
1940	C₂	#87167	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₃
Fitting	C₃×#2976	C₂
socle	C₂²×C₃	C₂³×D₄
hypercenter	#2976	D₃
hypocenter	C₃	#61610
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #2976

Complements

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

N	H ≅ G/N	type
1. #86056	C₂	semidirect
2. #86039	C₂	semidirect
3. C₃×#2976	C₂	semidirect
4. #79555	C₂	semidirect
5. #79554	C₂	semidirect
6. #79551	C₂	semidirect
7. #79548	C₂	semidirect
8. #79505	C₂	semidirect
9. #79503	C₂	semidirect
10. #79502	C₂	semidirect
11. #79501	C₂	semidirect
12. #79496	C₂	semidirect
13. #79495	C₂	semidirect
14. #79494	C₂	semidirect
15. #79494	C₂	semidirect
16. #79441	C₂	semidirect
17. #79439	C₂	semidirect
18. #79435	C₂	semidirect
19. D₄×#204	C₂	semidirect
20. #79392	C₂	semidirect
21. #79391	C₂	semidirect
22. #79387	C₂	semidirect
23. #79383	C₂	semidirect
24. #78675	C₂	semidirect
25. #78673	C₂	semidirect
26. #78672	C₂	semidirect
27. #78671	C₂	semidirect
28. #78647	C₂	semidirect
29. #78637	C₂	semidirect
30. #78614	C₂	semidirect
31. C₂×#4731	C₂	semidirect
36. #5833	C₂²	semidirect
38. #5825	C₂²	semidirect
40. #5791	C₂²	semidirect
41. C₂×#924	C₂²	semidirect
42. C₂×#909	C₂²	semidirect
43. C₂×#908	C₂²	semidirect
44. C₂×#908	C₂²	semidirect
45. C₂×#908	C₂²	semidirect
46. C₂×#904	C₂²	semidirect
47. C₂²×#204	C₂²	semidirect
48. C₂²×#204	C₂²	semidirect
49. C₂²×#204	C₂²	semidirect
66. #5565	C₂²	semidirect
67. #5552	C₂²	semidirect
68. #5552	C₂²	semidirect
69. #5551	C₂²	semidirect
78. #5543	C₂²	semidirect
79. #5542	C₂²	semidirect
80. #5541	C₂²	semidirect
81. D₄×Dic₆	C₂²	semidirect
82. #5534	C₂²	semidirect
85. #5518	C₂²	semidirect
86. C₃×#436	C₂²	semidirect
87. C₃×#436	C₂²	semidirect
88. C₃×#435	C₂²	semidirect
89. C₃×#435	C₂²	semidirect
90. C₃×#435	C₂²	semidirect
91. C₃×#435	C₂²	semidirect
92. C₃×C₈×D₄	C₂²	semidirect
93. C₃×C₈×D₄	C₂²	semidirect
94. C₃×#433	C₂²	semidirect
95. C₃×#433	C₂²	semidirect
96. C₃×#408	C₂²	semidirect
97. C₃×#408	C₂²	semidirect
98. C₃×#407	C₂²	semidirect
99. C₂×C₃×C₂²⋊C₈	C₂²	semidirect
100. #5137	C₂²	semidirect
101. #5137	C₂²	semidirect
102. #5135	C₂²	semidirect
103. #5134	C₂²	semidirect
104. #5134	C₂²	semidirect
105. #5134	C₂²	semidirect
106. #5134	C₂²	semidirect
107. #5134	C₂²	semidirect
108. #5133	C₂²	semidirect
109. #5131	C₂²	semidirect
110. #5131	C₂²	semidirect
111. #5131	C₂²	semidirect
112. #5116	C₂²	semidirect
113. #5115	C₂²	semidirect
114. #5115	C₂²	semidirect
115. #5114	C₂²	semidirect
116. #5114	C₂²	semidirect
117. #5114	C₂²	semidirect
118. #5114	C₂²	semidirect
119. #5114	C₂²	semidirect
120. #5113	C₂²	semidirect
121. C₂×#821	C₂²	semidirect
122. C₂×#821	C₂²	semidirect
123. C₂×#821	C₂²	semidirect
124. #4848	C₂²	semidirect
125. #4848	C₂²	semidirect
126. #4848	C₂²	semidirect
127. #4847	C₂²	semidirect
128. #4847	C₂²	semidirect
129. #4846	C₂²	semidirect
130. #4845	C₂²	semidirect
131. #4845	C₂²	semidirect
132. #4845	C₂²	semidirect
133. #4844	C₂²	semidirect
134. #4844	C₂²	semidirect
135. #4844	C₂²	semidirect
136. #4843	C₂²	semidirect
137. #4842	C₂²	semidirect
138. #4841	C₂²	semidirect
139. #4841	C₂²	semidirect
140. #4739	C₂²	semidirect
141. #4738	C₂²	semidirect
142. #4738	C₂²	semidirect
143. #4738	C₂²	semidirect
144. #4737	C₂²	semidirect
145. #4737	C₂²	semidirect
146. #4737	C₂²	semidirect
147. #4737	C₂²	semidirect
148. #4736	C₂²	semidirect
149. #4735	C₂²	semidirect
150. #4735	C₂²	semidirect
151. #4734	C₂²	semidirect
152. #4734	C₂²	semidirect
153. #4734	C₂²	semidirect
154. #4734	C₂²	semidirect
155. #4734	C₂²	semidirect
156. #4733	C₂²	semidirect
157. #4733	C₂²	semidirect
158. #4733	C₂²	semidirect
159. #4733	C₂²	semidirect
160. #4733	C₂²	semidirect
161. #4733	C₂²	semidirect
162. #4733	C₂²	semidirect
164. #4732	C₂²	semidirect
165. #4732	C₂²	semidirect
166. #4732	C₂²	semidirect
167. #4732	C₂²	semidirect
171. #4731	C₂²	semidirect
172. #4731	C₂²	semidirect
173. #4731	C₂²	semidirect
174. #4731	C₂²	semidirect
175. #4731	C₂²	semidirect
176. #4731	C₂²	semidirect
177. #4731	C₂²	semidirect
178. #4731	C₂²	semidirect
179. #4731	C₂²	semidirect
180. #4731	C₂²	semidirect
181. #4731	C₂²	semidirect
182. #4731	C₂²	semidirect
183. #4723	C₂²	semidirect
184. #4723	C₂²	semidirect
185. #4723	C₂²	semidirect
186. #4723	C₂²	semidirect
187. #4722	C₂²	semidirect
188. #4715	C₂²	semidirect
189. #4714	C₂²	semidirect
190. #4713	C₂²	semidirect
191. #4712	C₂²	semidirect
192. #4711	C₂²	semidirect
193. #4710	C₂²	semidirect
194. #4710	C₂²	semidirect
195. #4710	C₂²	semidirect
196. #4697	C₂²	semidirect
197. #4696	C₂²	semidirect
198. #4694	C₂²	semidirect
199. #4693	C₂²	semidirect
200. C₄×D₂₄	C₂²	semidirect
201. C₄×#204	C₂²	semidirect
202. C₄×#204	C₂²	semidirect
203. C₄×#204	C₂²	semidirect
234. #2976	D₃	semidirect
252. C₂×#235	C₂³	semidirect
267. C₂²×Dic₆	C₂³	semidirect
270. C₂×C₃×M₁₆	C₂³	semidirect
271. C₂×C₃×M₁₆	C₂³	semidirect
274. C₂²×C₃×C₈	C₂³	semidirect
275. C₂²×C₃×C₈	C₂³	semidirect
324. #930	C₂³	semidirect
333. #926	C₂³	semidirect
335. C₂×C₄⋊Dic₃	C₂³	semidirect
346. #924	C₂³	semidirect
347. #924	C₂³	semidirect
348. #924	C₂³	semidirect
354. C₂×Dic₁₂	C₂³	semidirect
355. C₂×Dic₁₂	C₂³	semidirect
356. C₂×Dic₁₂	C₂³	semidirect
362. C₂×D₂₄	C₂³	semidirect
378. C₂×#204	C₂³	semidirect
379. C₂×#204	C₂³	semidirect
380. C₂×#204	C₂³	semidirect
381. C₂×#204	C₂³	semidirect
448. #875	C₂³	semidirect
455. C₄×D₁₂	C₂³	semidirect
456. #870	C₂³	semidirect
457. #869	C₂³	semidirect
458. #869	C₂³	semidirect
459. C₄×Dic₆	C₂³	semidirect
460. C₄×Dic₆	C₂³	semidirect
461. C₄×Dic₆	C₂³	semidirect
462. C₃×C₄⋊C₈	C₂³	semidirect
463. C₃×C₄⋊C₈	C₂³	semidirect
464. C₃×C₄⋊C₈	C₂³	semidirect
465. C₃×C₄⋊C₈	C₂³	semidirect
474. C₃×C₂²⋊C₈	C₂³	semidirect
475. C₃×C₂²⋊C₈	C₂³	semidirect
476. C₃×C₂²⋊C₈	C₂³	semidirect
477. C₃×C₂²⋊C₈	C₂³	semidirect
478. C₃×#97	C₂³	semidirect
479. C₃×#97	C₂³	semidirect
480. C₃×C₄×C₈	C₂³	semidirect
481. C₃×C₄×C₈	C₂³	semidirect
498. #821	C₂³	semidirect
499. #821	C₂³	semidirect
500. #821	C₂³	semidirect
501. #821	C₂³	semidirect
502. #821	C₂³	semidirect
503. #821	C₂³	semidirect
504. #818	C₂³	semidirect
505. #818	C₂³	semidirect
506. #818	C₂³	semidirect
507. #818	C₂³	semidirect
508. #817	C₂³	semidirect
509. #817	C₂³	semidirect
510. #817	C₂³	semidirect
511. #817	C₂³	semidirect
512. #816	C₂³	semidirect
513. #816	C₂³	semidirect
514. #816	C₂³	semidirect
515. #816	C₂³	semidirect
516. #816	C₂³	semidirect
517. #816	C₂³	semidirect
518. #816	C₂³	semidirect
519. #816	C₂³	semidirect
520. #816	C₂³	semidirect
521. #816	C₂³	semidirect
671. #436	C₂×D₃	semidirect
672. #436	C₂×D₃	semidirect
673. #435	C₂×D₃	semidirect
674. #435	C₂×D₃	semidirect
675. #435	C₂×D₃	semidirect
676. #435	C₂×D₃	semidirect
677. C₈×D₄	C₂×D₃	semidirect
678. C₈×D₄	C₂×D₃	semidirect
679. #433	C₂×D₃	semidirect
680. #433	C₂×D₃	semidirect
689. #408	C₂×D₃	semidirect
690. #408	C₂×D₃	semidirect
691. #407	C₂×D₃	semidirect
692. C₂×C₂²⋊C₈	C₂×D₃	semidirect
1011. C₂×M₁₆	C₂²×D₃	semidirect
1012. C₂×M₁₆	C₂²×D₃	semidirect
1015. C₂²×C₈	C₂²×D₃	semidirect
1016. C₂²×C₈	C₂²×D₃	semidirect
1179. C₄⋊C₈	C₂²×D₃	semidirect
1180. C₄⋊C₈	C₂²×D₃	semidirect
1181. C₄⋊C₈	C₂²×D₃	semidirect
1182. C₄⋊C₈	C₂²×D₃	semidirect
1223. C₂²⋊C₈	C₂²×D₃	semidirect
1224. C₂²⋊C₈	C₂²×D₃	semidirect
1225. C₂²⋊C₈	C₂²×D₃	semidirect
1226. C₂²⋊C₈	C₂²×D₃	semidirect
1227. #97	C₂²×D₃	semidirect
1228. #97	C₂²×D₃	semidirect
1229. C₄×C₈	C₂²×D₃	semidirect
1230. C₄×C₈	C₂²×D₃	semidirect
1926. C₃	#61610	semidirect

Maximal subgroups

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

subgroup	index
#86056	2
#86039	2
C₃×#2976	2
#79555	2
#79554	2
#79551	2
#79548	2
#79505	2
#79503	2
#79502	2
#79501	2
#79496	2
#79495	2
#79494	2
#79441	2
#79439	2
#79435	2
D₄×#204	2
#79392	2
#79391	2
#79387	2
#79383	2
#78675	2
#78673	2
#78672	2
#78671	2
#78647	2
#78637	2
#78614	2
C₂×#4731	2
#61610	3