Subgroups — #7713426

Order 512.

6334 conjugacy classes of subgroups.

The subgroup lattice has 967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#49608	C₂	1	8	yes	maximal, complemented
2	#49590	C₂	1	8	yes	maximal, complemented
3	#47563	C₂	1	1	yes	maximal, characteristic, complemented
4	#47195	C₂	1	1	yes	maximal, characteristic, complemented
5	#47026	C₂	1	4	yes	maximal, complemented
6	#46998	C₂	1	1	yes	maximal, characteristic, complemented
7	#46997	C₂	1	2	yes	maximal, complemented
8	#46458	C₂	1	4	yes	maximal, complemented
9	#46389	C₂	1	2	yes	maximal, complemented
10	#46384	C₂	1	1	yes	maximal, characteristic, complemented
11	#37966	C₂	1	8	yes	maximal, complemented
12	#37778	C₂	1	8	yes	maximal, complemented
13	#37475	C₂	1	1	yes	maximal, characteristic, complemented
14	#37436	C₂	1	1	yes	maximal, characteristic, complemented
15	#36725	C₂	1	4	yes	maximal, complemented
16	#35118	C₂	1	4	yes	maximal, complemented
17	#34980	C₂	1	2	yes	maximal, complemented
18	#34356	C₂	1	2	yes	maximal, complemented
19	C₂×#2309	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×D₄	C₂²	1	1	yes	characteristic
21	C₂×#534	C₂²	1	4	yes	complemented
22	C₂×#529	C₂²	1	4	yes	complemented
23	C₂²×#120	C₂²	1	2	yes	—
24	C₂²×#117	C₂²	1	2	yes	complemented
25	#2853	C₂²	1	8	yes	complemented
26	#2849	C₂²	1	4	yes	complemented
27	#2846	C₂²	1	4	yes	complemented
28	#2842	C₂²	1	2	yes	complemented
29	#2842	C₂²	1	1	yes	characteristic, complemented
30	#2840	C₂²	1	1	yes	characteristic, complemented
31	#2812	C₂²	1	4	yes	complemented
32	#2761	C₂²	1	8	yes	complemented
33	#2757	C₂²	1	8	yes	complemented
34	#2756	C₂²	1	8	yes	complemented
35	#2753	C₂²	1	8	yes	complemented
36	#2749	C₂²	1	8	yes	complemented
37	#2737	C₂²	1	8	yes	complemented
38	#2736	C₂²	1	4	yes	complemented
39	#2735	C₂²	1	8	yes	complemented
40	#2735	C₂²	1	4	yes	complemented
41	#2723	C₂²	1	8	yes	complemented
42	#2714	C₂²	1	8	yes	complemented
43	#2711	C₂²	1	8	yes	complemented
44	#2707	C₂²	1	8	yes	complemented
45	#2706	C₂²	1	8	yes	complemented
46	#2705	C₂²	1	8	yes	complemented
47	#2697	C₂²	1	8	yes	complemented
48	#2691	C₂²	1	8	yes	complemented
49	#2685	C₂²	1	8	yes	complemented
50	#2685	C₂²	1	8	yes	complemented
51	#2685	C₂²	1	8	yes	complemented
52	#2684	C₂²	1	8	yes	complemented
53	#2678	C₂²	1	8	yes	complemented
54	#2676	C₂²	1	8	yes	complemented
55	#2670	C₂²	1	4	yes	complemented
56	#2670	C₂²	1	8	yes	complemented
57	#2668	C₂²	1	4	yes	complemented
58	#2627	C₂²	1	4	yes	complemented
59	#2626	C₂²	1	4	yes	complemented
60	#2626	C₂²	1	8	yes	complemented
61	#2622	C₂²	1	4	yes	complemented
62	#2618	C₂²	1	4	yes	complemented
63	#2617	C₂²	1	4	yes	—
64	#2613	C₂²	1	8	yes	—
65	#2613	C₂²	1	4	yes	complemented
66	#2611	C₂²	1	4	yes	complemented
67	#2611	C₂²	1	4	yes	complemented
68	#2610	C₂²	1	4	yes	complemented
69	#2610	C₂²	1	4	yes	complemented
70	#2610	C₂²	1	8	yes	complemented
71	#2609	C₂²	1	8	yes	complemented
72	#2609	C₂²	1	8	yes	complemented
73	#2603	C₂²	1	8	yes	complemented
74	#2601	C₂²	1	8	yes	complemented
75	#2601	C₂²	1	8	yes	complemented
76	#2599	C₂²	1	4	yes	complemented
77	#2599	C₂²	1	4	yes	complemented
78	#2598	C₂²	1	4	yes	complemented
79	#2598	C₂²	1	4	yes	complemented
80	#2597	C₂²	1	8	yes	complemented
81	#2554	C₂²	1	8	yes	complemented
82	#2531	C₂²	1	8	yes	complemented
83	#2526	C₂²	1	8	yes	complemented
84	#2483	C₂²	1	1	yes	characteristic, complemented
85	#2480	C₂²	1	8	yes	complemented
86	#2479	C₂²	1	8	yes	complemented
87	#2476	C₂²	1	8	yes	complemented
88	#2472	C₂²	1	8	yes	complemented
89	#2471	C₂²	1	8	yes	complemented
90	#2461	C₂²	1	8	yes	complemented
91	#2458	C₂²	1	8	yes	complemented
92	#2456	C₂²	1	8	yes	complemented
93	#2437	C₂²	1	8	yes	complemented
94	#2437	C₂²	1	4	yes	complemented
95	#2426	C₂²	1	8	yes	complemented
96	#2424	C₂²	1	8	yes	complemented
97	#2424	C₂²	1	8	yes	complemented
98	#2418	C₂²	1	8	yes	complemented
99	#2414	C₂²	1	8	yes	complemented
100	#2412	C₂²	1	4	yes	complemented
101	#2411	C₂²	1	8	yes	complemented
102	#2410	C₂²	1	8	yes	—
103	#2410	C₂²	1	4	yes	complemented
104	#2410	C₂²	1	4	yes	complemented
105	#2410	C₂²	1	4	yes	complemented
106	#2405	C₂²	1	2	yes	—
107	#2405	C₂²	1	2	yes	—
108	#2405	C₂²	1	4	yes	complemented
109	#2405	C₂²	1	2	yes	complemented
110	#2403	C₂²	1	2	yes	—
111	#2403	C₂²	1	2	yes	—
112	#2403	C₂²	1	4	yes	complemented
113	#2403	C₂²	1	1	yes	characteristic, complemented
114	#2375	C₂²	1	8	yes	complemented
115	#2358	C₂²	1	8	yes	complemented
116	#2342	C₂²	1	4	yes	complemented
117	#2342	C₂²	1	4	yes	complemented
118	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
119	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
120	#2322	C₂²	1	8	yes	complemented
121	#2321	C₂²	1	8	yes	complemented
122	#2321	C₂²	1	8	yes	complemented
123	#2312	C₂²	1	2	yes	complemented
124	#2312	C₂²	1	2	yes	complemented
125	#2309	C₂²	1	1	yes	characteristic
126	#2309	C₂²	1	1	yes	characteristic
127	#2309	C₂²	1	1	yes	characteristic
128	#2309	C₂²	1	1	yes	characteristic
129	#2309	C₂²	1	2	yes	complemented
130	#2309	C₂²	1	2	yes	complemented
131	#2309	C₂²	1	8	yes	complemented
132	#2309	C₂²	1	2	yes	complemented
133	#2308	C₂²	1	4	yes	complemented
134	#2308	C₂²	1	2	yes	complemented
135	C₂×#390	C₂²	1	8	yes	complemented
136	#2283	C₂²	1	4	yes	complemented
137	C₂×#379	C₂²	1	1	yes	characteristic
138	C₂×#379	C₂²	1	2	yes	—
139	C₂×#379	C₂²	1	1	yes	characteristic
140	C₂×#379	C₂²	1	2	yes	complemented
141	C₂⁶	C₂³	1	1	yes	characteristic
142	C₂⁶	C₂³	1	1	yes	characteristic
143	C₂³×D₄	—	2	8	no	—
144	C₂³×D₄	—	4	8	no	—
145	C₂³×D₄	C₂³	1	4	yes	—
146	C₂³×D₄	C₂³	1	1	yes	characteristic
147	C₂³×D₄	C₂³	1	1	yes	characteristic
148	C₂³×D₄	C₂³	1	4	yes	—
149	C₂³×D₄	C₂³	1	1	yes	characteristic
150	C₂³×D₄	C₂³	1	1	yes	characteristic
151	C₂³×D₄	C₂³	1	2	yes	—
152	C₂³×D₄	C₂³	1	2	yes	—
153	C₂³×D₄	C₂³	1	2	yes	—
154	C₂⁴×C₄	C₂³	1	1	yes	characteristic
155	#534	—	4	16	no	—
156	#529	—	4	16	no	—
157	C₂×#126	C₂³	1	8	yes	complemented
158	C₂×#126	C₂³	1	8	yes	complemented
159	C₂×#125	C₂³	1	4	yes	complemented
160	C₂×#124	C₂³	1	4	yes	complemented
161	C₂×#124	C₂³	1	8	yes	complemented
162	C₂×#123	C₂³	1	8	yes	—
163	C₂×#123	C₂³	1	4	yes	—
164	C₂×#123	C₂³	1	4	yes	—
165	C₂×#123	C₂³	1	4	yes	complemented
166	C₂×#123	C₂³	1	8	yes	complemented
167	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
168	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
169	C₂×#121	C₂³	1	4	yes	—
170	C₂×#121	C₂³	1	8	yes	—
171	C₂×#121	C₂³	1	8	yes	—
172	C₂×#121	C₂³	1	8	yes	complemented
173	C₂×#120	—	2	16	no	—
174	C₂×#120	C₂³	1	4	yes	—
175	C₂×#120	C₂³	1	4	yes	—
176	C₂×#120	C₂³	1	4	yes	—
177	C₂×#120	C₂³	1	4	yes	—
178	C₂×#120	C₂³	1	8	yes	—
179	C₂×#120	C₂³	1	4	yes	—
180	C₂×#120	C₂³	1	4	yes	—
181	C₂×#120	C₂³	1	4	yes	—
182	C₂×#120	C₂³	1	4	yes	—
183	C₂×#120	C₂³	1	8	yes	—
184	C₂×#120	C₂³	1	4	yes	complemented
185	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
186	C₂×C₄×D₄	C₂³	1	8	yes	—
187	C₂×C₄×D₄	C₂³	1	4	yes	complemented
188	C₂×C₄×D₄	C₂³	1	8	yes	complemented
189	C₂×#117	—	4	8	no	—
190	C₂×#117	C₂³	1	2	yes	—
191	C₂×#117	C₂³	1	2	yes	—
192	C₂×#117	C₂³	1	2	yes	—
193	C₂×#117	C₂³	1	2	yes	—
194	C₂×#117	C₂³	1	4	yes	—
195	C₂×#117	C₂³	1	4	yes	—
196	C₂×#117	C₂³	1	8	yes	complemented
197	C₂×#117	C₂³	1	4	yes	complemented
198	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
199	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
203	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
206	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
207	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
208	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
209	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
210	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
211	C₂²×C₄²	C₂³	1	4	yes	—
212	#400	C₂³	1	4	yes	complemented
213	#400	C₂³	1	4	yes	complemented
214	#399	C₂³	1	4	yes	—
215	#399	C₂³	1	4	yes	—
216	#399	C₂³	1	8	yes	complemented
217	#399	C₂³	1	8	yes	complemented
218	#398	C₂³	1	4	yes	complemented
219	#398	C₂³	1	4	yes	complemented
220	#398	C₂³	1	8	yes	complemented
221	#398	C₂³	1	8	yes	complemented
222	#397	C₂³	1	4	yes	—
223	#397	C₂³	1	4	yes	—
224	#397	C₂³	1	8	yes	complemented
225	#397	C₂³	1	8	yes	complemented
226	#397	C₂³	1	8	yes	complemented
227	#397	C₂³	1	8	yes	complemented
228	#397	C₂³	1	8	yes	complemented
229	#397	C₂³	1	8	yes	complemented
230	#396	C₂³	1	8	yes	—
231	#396	C₂³	1	8	yes	—
232	#396	C₂³	1	8	yes	complemented
233	#396	C₂³	1	8	yes	complemented
234	#396	C₂³	1	8	yes	complemented
235	#396	C₂³	1	8	yes	complemented
236	#396	C₂³	1	8	yes	complemented
237	#396	C₂³	1	8	yes	complemented
238	#395	C₂³	1	4	yes	complemented
239	#395	C₂³	1	4	yes	complemented
240	#394	C₂³	1	8	yes	—
241	#394	C₂³	1	8	yes	—
242	#394	C₂³	1	8	yes	—
243	#394	C₂³	1	8	yes	—
244	#394	C₂³	1	8	yes	—
245	#394	C₂³	1	8	yes	—
246	#394	C₂³	1	4	yes	complemented
247	#394	C₂³	1	4	yes	complemented
248	#394	C₂³	1	8	yes	complemented
249	#394	C₂³	1	8	yes	complemented
250	#394	C₂³	1	8	yes	complemented
251	#394	C₂³	1	8	yes	complemented
252	#394	C₂³	1	8	yes	complemented
253	#394	C₂³	1	8	yes	complemented
254	#394	C₂³	1	8	yes	complemented
255	#394	C₂³	1	8	yes	complemented
256	#393	C₂³	1	4	yes	—
257	#393	C₂³	1	4	yes	—
258	#393	C₂³	1	8	yes	complemented
259	#393	C₂³	1	8	yes	complemented
260	#392	C₂³	1	4	yes	—
261	#392	C₂³	1	4	yes	—
262	#392	C₂³	1	8	yes	—
263	#392	C₂³	1	8	yes	—
264	#392	C₂³	1	8	yes	—
265	#392	C₂³	1	8	yes	—
266	#392	C₂³	1	8	yes	complemented
267	#392	C₂³	1	8	yes	complemented
268	#390	C₂³	1	8	yes	—
269	#390	C₂³	1	8	yes	—
270	#390	C₂³	1	8	yes	—
271	#390	C₂³	1	8	yes	—
272	#390	C₂³	1	8	yes	—
273	#390	C₂³	1	8	yes	—
274	#390	C₂³	1	8	yes	—
275	#390	C₂³	1	8	yes	—
276	#390	C₂³	1	8	yes	—
277	#390	C₂³	1	8	yes	—
278	#390	C₂³	1	8	yes	complemented
279	#390	C₂³	1	8	yes	complemented
280	#390	C₂³	1	8	yes	complemented
281	#390	C₂³	1	8	yes	complemented
282	#389	C₂³	1	8	yes	complemented
283	#389	C₂³	1	8	yes	complemented
284	#388	C₂³	1	8	yes	—
285	#388	C₂³	1	8	yes	—
286	#388	C₂³	1	8	yes	—
287	#388	C₂³	1	8	yes	—
288	#388	C₂³	1	8	yes	complemented
289	#388	C₂³	1	8	yes	complemented
290	#388	C₂³	1	8	yes	complemented
291	#388	C₂³	1	8	yes	complemented
292	#388	C₂³	1	8	yes	complemented
293	#388	C₂³	1	8	yes	complemented
294	#388	C₂³	1	8	yes	complemented
295	#388	C₂³	1	8	yes	complemented
296	#388	C₂³	1	8	yes	complemented
297	#388	C₂³	1	8	yes	complemented
298	#388	C₂³	1	8	yes	complemented
299	#388	C₂³	1	8	yes	complemented
300	#388	C₂³	1	8	yes	complemented
301	#388	C₂³	1	8	yes	complemented
302	#388	C₂³	1	8	yes	complemented
303	#388	C₂³	1	8	yes	complemented
304	#388	C₂³	1	8	yes	complemented
305	#388	C₂³	1	8	yes	complemented
306	#387	C₂³	1	8	yes	complemented
307	#387	C₂³	1	8	yes	complemented
308	#387	C₂³	1	8	yes	complemented
309	#387	C₂³	1	8	yes	complemented
310	#387	C₂³	1	8	yes	complemented
311	#387	C₂³	1	8	yes	complemented
312	#386	C₂³	1	8	yes	—
313	#386	C₂³	1	8	yes	—
314	#386	C₂³	1	8	yes	—
315	#386	C₂³	1	4	yes	—
316	#386	C₂³	1	4	yes	—
317	#386	C₂³	1	4	yes	—
318	#386	C₂³	1	4	yes	—
319	#386	C₂³	1	8	yes	—
320	#386	C₂³	1	8	yes	—
321	#386	C₂³	1	8	yes	—
322	#386	C₂³	1	4	yes	—
323	#386	C₂³	1	8	yes	—
324	#386	C₂³	1	4	yes	—
325	#386	C₂³	1	8	yes	complemented
326	#386	C₂³	1	8	yes	complemented
327	#386	C₂³	1	8	yes	complemented
328	#386	C₂³	1	8	yes	complemented
329	#386	C₂³	1	4	yes	complemented
330	#386	C₂³	1	4	yes	complemented
331	#386	C₂³	1	8	yes	complemented
332	#385	C₂³	1	8	yes	—
333	#385	C₂³	1	8	yes	—
334	#385	C₂³	1	4	yes	—
335	#385	C₂³	1	8	yes	—
336	#385	C₂³	1	4	yes	—
337	#385	C₂³	1	8	yes	complemented
338	#385	C₂³	1	8	yes	complemented
339	#385	C₂³	1	8	yes	complemented
340	#385	C₂³	1	8	yes	complemented
341	#385	C₂³	1	8	yes	complemented
342	#385	C₂³	1	4	yes	complemented
343	#385	C₂³	1	4	yes	complemented
344	#383	C₂³	1	4	yes	complemented
345	#383	C₂³	1	4	yes	complemented
346	#382	C₂³	1	8	yes	complemented
347	#381	C₂³	1	8	yes	—
348	#381	C₂³	1	4	yes	complemented
349	#381	C₂³	1	4	yes	complemented
350	#380	C₂³	1	4	yes	—
351	#380	C₂³	1	4	yes	—
352	#380	C₂³	1	4	yes	complemented
353	#380	C₂³	1	4	yes	complemented
354	#380	C₂³	1	8	yes	complemented
355	#379	C₂³	1	1	yes	characteristic
356	#379	C₂³	1	2	yes	—
357	#379	C₂³	1	8	yes	—
358	#379	C₂³	1	1	yes	characteristic
359	#379	C₂³	1	1	yes	characteristic
360	#379	C₂³	1	1	yes	characteristic
361	#379	C₂³	1	2	yes	—
362	#379	C₂³	1	2	yes	—
363	#379	C₂³	1	2	yes	—
364	#379	C₂³	1	2	yes	—
365	#379	C₂³	1	2	yes	—
366	#379	C₂³	1	4	yes	—
367	#379	C₂³	1	4	yes	—
368	#379	C₂³	1	8	yes	—
369	#379	C₂³	1	2	yes	—
370	#379	C₂³	1	2	yes	—
371	#379	C₂³	1	4	yes	—
372	#379	C₂³	1	4	yes	—
373	#379	C₂³	1	4	yes	—
374	#379	C₂³	1	8	yes	—
375	#379	C₂³	1	4	yes	—
376	#379	C₂³	1	4	yes	—
377	#379	C₂³	1	4	yes	complemented
378	#379	C₂³	1	4	yes	complemented
379	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
380	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
381	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
382	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
383	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
384	#376	C₂³	1	4	yes	complemented
385	#376	C₂³	1	4	yes	complemented
386	C₂⁵	—	2	4	no	—
387	C₂⁵	—	4	4	no	—
388	C₂⁵	—	4	4	no	—
389	C₂⁵	—	8	4	no	—
390	C₂⁵	—	8	4	no	—
391	C₂⁵	#41	1	8	yes	—
392	C₂⁵	C₂⁴	1	2	yes	—
393	C₂⁵	C₂⁴	1	2	yes	—
394	C₂⁵	C₂⁴	1	1	yes	characteristic
395	C₂⁵	C₂⁴	1	2	yes	—
396	C₂⁵	C₂⁴	1	1	yes	characteristic
397	C₂⁵	C₂⁴	1	1	yes	characteristic
398	C₂⁵	C₂⁴	1	2	yes	—
399	C₂⁵	C₂⁴	1	1	yes	characteristic
400	C₂⁵	C₂⁴	1	2	yes	—
401	C₂⁵	C₂⁴	1	1	yes	characteristic
402	C₂²×Q₈	C₂⁴	1	4	yes	—
403	C₂²×D₄	—	2	16	no	—
404	C₂²×D₄	—	2	4	no	—
405	C₂²×D₄	—	2	4	no	—
406	C₂²×D₄	—	2	16	no	—
407	C₂²×D₄	—	2	4	no	—
408	C₂²×D₄	—	2	4	no	—
409	C₂²×D₄	—	2	8	no	—
410	C₂²×D₄	—	2	8	no	—
411	C₂²×D₄	—	2	8	no	—
412	C₂²×D₄	—	2	16	no	—
413	C₂²×D₄	—	4	4	no	—
414	C₂²×D₄	—	4	4	no	—
415	C₂²×D₄	—	4	8	no	—
416	C₂²×D₄	—	4	8	no	—
417	C₂²×D₄	—	4	4	no	—
418	C₂²×D₄	—	4	4	no	—
419	C₂²×D₄	—	4	8	no	—
420	C₂²×D₄	—	4	64	no	—
421	C₂²×D₄	—	4	8	no	—
422	C₂²×D₄	—	8	4	no	—
423	C₂²×D₄	—	8	4	no	—
424	C₂²×D₄	C₂⁴	1	4	yes	—
425	C₂²×D₄	C₂⁴	1	4	yes	—
426	C₂²×D₄	C₂⁴	1	4	yes	—
427	C₂²×D₄	C₂⁴	1	4	yes	—
428	C₂²×D₄	C₂⁴	1	4	yes	—
429	C₂²×D₄	C₂⁴	1	4	yes	—
430	C₂²×D₄	C₂⁴	1	4	yes	—
431	C₂²×D₄	C₂⁴	1	4	yes	—
432	C₂²×D₄	C₂⁴	1	4	yes	—
433	C₂²×D₄	C₂⁴	1	4	yes	—
434	C₂²×D₄	C₂⁴	1	4	yes	—
435	C₂²×D₄	C₂⁴	1	8	yes	—
436	C₂²×D₄	C₂⁴	1	8	yes	—
437	C₂³×C₄	—	2	4	no	—
438	C₂³×C₄	—	2	8	no	—
439	C₂³×C₄	C₂⁴	1	1	yes	characteristic
440	C₂³×C₄	C₂⁴	1	1	yes	characteristic
441	C₂³×C₄	C₂⁴	1	2	yes	—
442	C₂³×C₄	C₂⁴	1	2	yes	—
443	C₂³×C₄	C₂⁴	1	4	yes	—
444	C₂³×C₄	C₂⁴	1	4	yes	—
445	C₂³×C₄	C₂⁴	1	2	yes	—
446	C₂³×C₄	C₂⁴	1	2	yes	—
447	C₂³×C₄	C₂⁴	1	2	yes	—
448	C₂³×C₄	C₂⁴	1	8	yes	—
449	C₂³×C₄	C₂⁴	1	8	yes	—
450	#126	—	4	16	no	—
451	#126	—	8	8	no	—
452	#125	—	4	8	no	—
453	#124	—	4	8	no	—
454	#124	—	8	8	no	—
455	#123	—	2	32	no	—
456	#123	—	4	8	no	—
457	#123	—	4	8	no	—
458	#123	—	8	8	no	—
459	#123	—	8	4	no	—
460	C₂²⋊Q₈	—	4	8	no	—
461	C₂²⋊Q₈	—	8	8	no	—
462	#121	—	4	16	no	—
463	#121	—	4	16	no	—
464	#121	—	4	8	no	—
465	#121	—	8	8	no	—
466	#120	—	2	16	no	—
467	#120	—	2	16	no	—
468	#120	—	2	16	no	—
469	#120	—	2	16	no	—
470	#120	—	4	8	no	—
471	#120	—	4	8	no	—
472	#120	—	4	16	no	—
473	#120	—	8	8	no	—
474	#120	—	8	4	no	—
475	#120	—	8	4	no	—
476	#120	—	8	4	no	—
477	C₄×Q₈	—	4	8	no	—
478	C₄×D₄	—	4	8	no	—
479	C₄×D₄	—	4	16	no	—
480	C₄×D₄	—	8	8	no	—
481	#117	—	4	4	no	—
482	#117	—	4	8	no	—
483	#117	—	4	4	no	—
484	#117	—	4	8	no	—
485	#117	—	4	4	no	—
486	#117	—	4	4	no	—
487	#117	—	4	16	no	—
488	#117	—	8	4	no	—
489	C₂×C₄⋊C₄	—	4	8	no	—
490	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
491	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
492	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
493	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
494	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
495	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
496	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
497	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
498	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
499	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
500	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
501	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
503	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
504	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
505	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
506	C₂×C₂²⋊C₄	—	2	8	no	—
507	C₂×C₂²⋊C₄	—	2	8	no	—
508	C₂×C₂²⋊C₄	—	2	8	no	—
509	C₂×C₂²⋊C₄	—	4	8	no	—
510	C₂×C₂²⋊C₄	—	4	4	no	—
511	C₂×C₂²⋊C₄	—	4	4	no	—
512	C₂×C₂²⋊C₄	—	8	4	no	—
513	C₂×C₂²⋊C₄	—	8	4	no	—
514	C₂×C₂²⋊C₄	—	8	4	no	—
515	C₂×C₂²⋊C₄	—	8	4	no	—
516	C₂×C₂²⋊C₄	—	8	8	no	—
517	C₂×C₂²⋊C₄	—	8	4	no	—
518	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
520	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
522	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
523	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
524	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
526	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
529	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
530	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
531	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
532	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
533	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
534	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
535	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
536	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
537	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
538	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
539	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
542	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
543	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
544	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
545	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
546	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
547	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
549	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
550	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
551	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
552	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
553	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
554	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
555	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
556	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
557	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
558	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
559	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
560	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
561	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
562	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
563	C₂×C₄²	—	2	16	no	—
564	C₂×C₄²	C₂⁴	1	4	yes	—
565	C₂×C₄²	C₂⁴	1	4	yes	—
566	C₂×C₄²	C₂⁴	1	4	yes	—
567	C₂×C₄²	C₂⁴	1	4	yes	—
568	C₂×C₄²	C₂⁴	1	8	yes	—
569	C₂×C₄²	C₂⁴	1	8	yes	—
570	C₂×C₄²	C₂⁴	1	8	yes	—
571	#95	C₂⁴	1	4	yes	—
572	#95	C₂⁴	1	4	yes	—
573	#95	C₂⁴	1	4	yes	—
574	#95	C₂⁴	1	4	yes	—
575	#95	C₂⁴	1	8	yes	—
576	#95	C₂⁴	1	8	yes	—
577	#95	C₂⁴	1	8	yes	—
578	#95	C₂⁴	1	8	yes	—
579	#95	C₂⁴	1	8	yes	—
580	#95	C₂⁴	1	8	yes	—
581	#95	C₂⁴	1	8	yes	—
582	#95	C₂⁴	1	8	yes	—
583	#95	C₂⁴	1	8	yes	—
584	#95	C₂⁴	1	8	yes	—
585	#95	C₂⁴	1	8	yes	—
586	#95	C₂⁴	1	8	yes	—
587	#95	C₂⁴	1	8	yes	—
588	#95	C₂⁴	1	8	yes	—
589	C₂⁴	—	2	4	no	—
590	C₂⁴	—	2	8	no	—
591	C₂⁴	—	2	4	no	—
592	C₂⁴	—	2	4	no	—
593	C₂⁴	—	2	2	no	—
594	C₂⁴	—	2	2	no	—
595	C₂⁴	—	2	4	no	—
596	C₂⁴	—	2	8	no	—
597	C₂⁴	—	4	4	no	—
598	C₂⁴	—	4	4	no	—
599	C₂⁴	—	4	4	no	—
600	C₂⁴	—	4	8	no	—
601	C₂⁴	—	4	4	no	—
602	C₂⁴	—	4	4	no	—
603	C₂⁴	—	4	16	no	—
604	C₂⁴	—	4	2	no	—
605	C₂⁴	—	4	4	no	—
606	C₂⁴	—	4	2	no	—
607	C₂⁴	—	4	2	no	—
608	C₂⁴	—	4	2	no	—
609	C₂⁴	—	4	4	no	—
610	C₂⁴	—	4	4	no	—
611	C₂⁴	—	4	4	no	—
612	C₂⁴	—	4	4	no	—
613	C₂⁴	—	4	4	no	—
614	C₂⁴	—	4	8	no	—
615	C₂⁴	—	4	4	no	—
616	C₂⁴	—	4	4	no	—
617	C₂⁴	—	4	4	no	—
618	C₂⁴	—	4	16	no	—
619	C₂⁴	—	8	16	no	—
620	C₂⁴	—	8	16	no	—
621	C₂⁴	—	8	32	no	—
622	C₂⁴	—	8	32	no	—
623	C₂⁴	C₂×#41	1	8	yes	—
624	C₂⁴	C₂×#41	1	4	yes	—
625	C₂⁴	C₂×#41	1	4	yes	—
626	C₂⁴	C₂×#41	1	8	yes	—
627	C₂⁴	C₂×#41	1	4	yes	—
628	C₂⁴	C₂⁵	1	2	yes	—
629	C₂⁴	C₂⁵	1	2	yes	—
630	C₂⁴	C₂⁵	1	4	yes	—
631	C₂⁴	C₂⁵	1	1	yes	characteristic
632	C₂⁴	C₂⁵	1	1	yes	characteristic
633	C₂⁴	C₂⁵	1	2	yes	—
634	C₂⁴	C₂⁵	1	2	yes	—
635	C₂⁴	C₂⁵	1	1	yes	characteristic
636	C₂×Q₈	—	4	4	no	—
637	C₂×Q₈	—	4	8	no	—
638	C₂×D₄	—	2	8	no	—
639	C₂×D₄	—	2	8	no	—
640	C₂×D₄	—	2	8	no	—
641	C₂×D₄	—	2	8	no	—
642	C₂×D₄	—	2	8	no	—
643	C₂×D₄	—	2	8	no	—
644	C₂×D₄	—	2	16	no	—
645	C₂×D₄	—	2	8	no	—
646	C₂×D₄	—	2	8	no	—
647	C₂×D₄	—	2	8	no	—
648	C₂×D₄	—	2	8	no	—
649	C₂×D₄	—	2	8	no	—
650	C₂×D₄	—	2	8	no	—
651	C₂×D₄	—	2	8	no	—
652	C₂×D₄	—	2	8	no	—
653	C₂×D₄	—	4	8	no	—
654	C₂×D₄	—	4	4	no	—
655	C₂×D₄	—	4	4	no	—
656	C₂×D₄	—	4	4	no	—
657	C₂×D₄	—	4	4	no	—
658	C₂×D₄	—	4	64	no	—
659	C₂×D₄	—	4	16	no	—
660	C₂×D₄	—	4	16	no	—
661	C₂×D₄	—	4	64	no	—
662	C₂×D₄	—	4	16	no	—
663	C₂×D₄	—	4	16	no	—
664	C₂×D₄	—	4	4	no	—
665	C₂×D₄	—	4	8	no	—
666	C₂×D₄	—	4	4	no	—
667	C₂×D₄	—	4	4	no	—
668	C₂×D₄	—	4	8	no	—
669	C₂×D₄	—	4	4	no	—
670	C₂×D₄	—	4	8	no	—
671	C₂×D₄	—	4	4	no	—
672	C₂×D₄	—	4	8	no	—
673	C₂×D₄	—	4	8	no	—
674	C₂×D₄	—	4	8	no	—
675	C₂×D₄	—	4	8	no	—
676	C₂×D₄	—	4	8	no	—
677	C₂×D₄	—	4	8	no	—
678	C₂×D₄	—	8	16	no	—
679	C₂×D₄	—	8	16	no	—
680	C₂×D₄	—	8	16	no	—
681	C₂²×C₄	—	2	32	no	—
682	C₂²×C₄	—	2	2	no	—
683	C₂²×C₄	—	2	2	no	—
684	C₂²×C₄	—	2	4	no	—
685	C₂²×C₄	—	2	4	no	—
686	C₂²×C₄	—	2	4	no	—
687	C₂²×C₄	—	2	4	no	—
688	C₂²×C₄	—	2	4	no	—
689	C₂²×C₄	—	2	4	no	—
690	C₂²×C₄	—	2	4	no	—
691	C₂²×C₄	—	2	4	no	—
692	C₂²×C₄	—	2	4	no	—
693	C₂²×C₄	—	2	4	no	—
694	C₂²×C₄	—	2	8	no	—
695	C₂²×C₄	—	2	8	no	—
696	C₂²×C₄	—	4	4	no	—
697	C₂²×C₄	—	4	8	no	—
698	C₂²×C₄	—	4	8	no	—
699	C₂²×C₄	—	4	8	no	—
700	C₂²×C₄	—	4	8	no	—
701	C₂²×C₄	—	4	8	no	—
702	C₂²×C₄	—	4	4	no	—
703	C₂²×C₄	—	4	4	no	—
704	C₂²×C₄	—	4	8	no	—
705	C₂²×C₄	—	4	8	no	—
706	C₂²×C₄	—	4	8	no	—
707	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
708	C₂²×C₄	C₂⁵	1	4	yes	—
709	C₂²×C₄	C₂⁵	1	4	yes	—
710	C₂²×C₄	C₂⁵	1	4	yes	—
711	C₂²×C₄	C₂⁵	1	4	yes	—
712	C₂²×C₄	C₂⁵	1	8	yes	—
713	C₂²×C₄	C₂⁵	1	4	yes	—
714	C₂²×C₄	C₂⁵	1	8	yes	—
715	C₂²×C₄	C₂⁵	1	4	yes	—
716	C₂²×C₄	C₂⁵	1	4	yes	—
717	C₂²×C₄	C₂⁵	1	2	yes	—
718	C₂²×C₄	C₂⁵	1	2	yes	—
719	C₄⋊C₄	—	2	16	no	—
720	C₄⋊C₄	—	2	16	no	—
721	C₄⋊C₄	—	4	4	no	—
722	C₄⋊C₄	—	4	4	no	—
723	C₄⋊C₄	—	4	4	no	—
724	C₄⋊C₄	—	4	4	no	—
725	C₄⋊C₄	—	4	8	no	—
726	C₄⋊C₄	—	4	8	no	—
727	C₄⋊C₄	—	4	4	no	—
728	C₄⋊C₄	—	4	8	no	—
729	C₄⋊C₄	—	4	8	no	—
730	C₄⋊C₄	—	4	4	no	—
731	C₄⋊C₄	—	4	8	no	—
732	C₄⋊C₄	—	4	8	no	—
733	C₄⋊C₄	—	4	8	no	—
734	C₄⋊C₄	—	4	8	no	—
735	C₂²⋊C₄	—	2	8	no	—
736	C₂²⋊C₄	—	2	8	no	—
737	C₂²⋊C₄	—	2	8	no	—
738	C₂²⋊C₄	—	2	8	no	—
739	C₂²⋊C₄	—	2	8	no	—
740	C₂²⋊C₄	—	2	8	no	—
741	C₂²⋊C₄	—	2	16	no	—
742	C₂²⋊C₄	—	2	16	no	—
743	C₂²⋊C₄	—	2	16	no	—
744	C₂²⋊C₄	—	4	2	no	—
745	C₂²⋊C₄	—	4	4	no	—
746	C₂²⋊C₄	—	4	2	no	—
747	C₂²⋊C₄	—	4	2	no	—
748	C₂²⋊C₄	—	4	4	no	—
749	C₂²⋊C₄	—	4	2	no	—
750	C₂²⋊C₄	—	4	4	no	—
751	C₂²⋊C₄	—	4	4	no	—
752	C₂²⋊C₄	—	4	4	no	—
753	C₂²⋊C₄	—	4	4	no	—
754	C₂²⋊C₄	—	4	4	no	—
755	C₂²⋊C₄	—	4	4	no	—
756	C₂²⋊C₄	—	4	8	no	—
757	C₂²⋊C₄	—	4	4	no	—
758	C₂²⋊C₄	—	4	8	no	—
759	C₂²⋊C₄	—	4	4	no	—
760	C₂²⋊C₄	—	4	4	no	—
761	C₂²⋊C₄	—	4	8	no	—
762	C₂²⋊C₄	—	4	8	no	—
763	C₂²⋊C₄	—	4	8	no	—
764	C₂²⋊C₄	—	4	8	no	—
765	C₂²⋊C₄	—	4	4	no	—
766	C₂²⋊C₄	—	4	8	no	—
767	C₂²⋊C₄	—	4	8	no	—
768	C₂²⋊C₄	—	4	8	no	—
769	C₂²⋊C₄	—	4	8	no	—
770	C₂²⋊C₄	—	4	8	no	—
771	C₂²⋊C₄	—	4	8	no	—
772	C₂²⋊C₄	—	4	8	no	—
773	C₂²⋊C₄	—	4	8	no	—
774	C₂²⋊C₄	—	4	8	no	—
775	C₂²⋊C₄	—	4	8	no	—
776	C₂²⋊C₄	—	4	8	no	—
777	C₂²⋊C₄	—	4	8	no	—
778	C₂²⋊C₄	—	4	8	no	—
779	C₂²⋊C₄	—	4	8	no	—
780	C₄²	—	2	8	no	—
781	C₄²	—	2	8	no	—
782	C₄²	—	2	8	no	—
783	C₄²	—	2	8	no	—
784	C₄²	—	4	8	no	—
785	C₄²	—	4	8	no	—
786	C₄²	—	4	8	no	—
787	C₂³	—	2	4	no	—
788	C₂³	—	2	2	no	—
789	C₂³	—	2	2	no	—
790	C₂³	—	2	4	no	—
791	C₂³	—	2	4	no	—
792	C₂³	—	2	4	no	—
793	C₂³	—	2	4	no	—
794	C₂³	—	2	4	no	—
795	C₂³	—	2	4	no	—
796	C₂³	—	2	4	no	—
797	C₂³	—	2	4	no	—
798	C₂³	—	2	8	no	—
799	C₂³	—	2	16	no	—
800	C₂³	—	2	4	no	—
801	C₂³	—	2	2	no	—
802	C₂³	—	2	2	no	—
803	C₂³	—	2	8	no	—
804	C₂³	—	2	4	no	—
805	C₂³	—	2	4	no	—
806	C₂³	—	2	8	no	—
807	C₂³	—	2	8	no	—
808	C₂³	—	2	4	no	—
809	C₂³	—	2	8	no	—
810	C₂³	—	2	4	no	—
811	C₂³	—	4	8	no	—
812	C₂³	—	4	4	no	—
813	C₂³	—	4	8	no	—
814	C₂³	—	4	4	no	—
815	C₂³	—	4	8	no	—
816	C₂³	—	4	8	no	—
817	C₂³	—	4	8	no	—
818	C₂³	—	4	8	no	—
819	C₂³	—	4	8	no	—
820	C₂³	—	4	8	no	—
821	C₂³	—	4	16	no	—
822	C₂³	—	4	4	no	—
823	C₂³	—	4	4	no	—
824	C₂³	—	4	8	no	—
825	C₂³	—	4	16	no	—
826	C₂³	—	4	8	no	—
827	C₂³	—	4	8	no	—
828	C₂³	—	8	16	no	—
829	C₂³	—	8	16	no	—
830	C₂³	—	8	4	no	—
831	C₂³	—	8	4	no	—
832	C₂³	—	8	8	no	—
833	C₂³	—	8	4	no	—
834	C₂³	—	8	4	no	—
835	C₂³	—	8	8	no	—
836	C₂³	—	8	16	no	—
837	C₂³	—	8	8	no	—
838	C₂³	—	8	8	no	—
839	C₂³	—	8	8	no	—
840	C₂³	—	8	16	no	—
841	C₂³	—	8	64	no	—
842	C₂³	—	8	64	no	—
843	C₂³	—	16	8	no	—
844	C₂³	C₂²×#41	1	2	yes	—
845	C₂³	C₂²×#41	1	2	yes	—
846	C₂³	C₂²×#41	1	4	yes	—
847	C₂³	C₂²×#41	1	4	yes	—
848	C₂³	C₂²×#41	1	2	yes	—
849	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
850	C₂³	C₂⁶	1	1	yes	characteristic
851	Q₈	—	8	8	no	—
852	D₄	—	4	16	no	—
853	D₄	—	4	16	no	—
854	D₄	—	4	16	no	—
855	D₄	—	4	16	no	—
856	D₄	—	4	16	no	—
857	D₄	—	4	16	no	—
858	D₄	—	8	8	no	—
859	D₄	—	8	8	no	—
860	D₄	—	8	8	no	—
861	D₄	—	8	8	no	—
862	D₄	—	8	8	no	—
863	D₄	—	16	8	no	—
864	D₄	—	16	8	no	—
865	C₂×C₄	—	2	8	no	—
866	C₂×C₄	—	2	16	no	—
867	C₂×C₄	—	2	8	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	2	no	—
870	C₂×C₄	—	2	2	no	—
871	C₂×C₄	—	2	2	no	—
872	C₂×C₄	—	2	16	no	—
873	C₂×C₄	—	2	4	no	—
874	C₂×C₄	—	2	4	no	—
875	C₂×C₄	—	2	4	no	—
876	C₂×C₄	—	2	4	no	—
877	C₂×C₄	—	2	4	no	—
878	C₂×C₄	—	2	4	no	—
879	C₂×C₄	—	2	4	no	—
880	C₂×C₄	—	2	8	no	—
881	C₂×C₄	—	2	8	no	—
882	C₂×C₄	—	2	8	no	—
883	C₂×C₄	—	2	8	no	—
884	C₂×C₄	—	2	4	no	—
885	C₂×C₄	—	2	8	no	—
886	C₂×C₄	—	2	8	no	—
887	C₂×C₄	—	2	8	no	—
888	C₂×C₄	—	2	8	no	—
889	C₂×C₄	—	2	8	no	—
890	C₂×C₄	—	2	8	no	—
891	C₂×C₄	—	2	8	no	—
892	C₂×C₄	—	2	8	no	—
893	C₂×C₄	—	2	4	no	—
894	C₂×C₄	—	4	8	no	—
895	C₂×C₄	—	8	8	no	—
896	C₂×C₄	—	8	8	no	—
897	C₂×C₄	—	8	4	no	—
898	C₂×C₄	—	8	4	no	—
899	C₂×C₄	—	8	16	no	—
900	C₂×C₄	—	16	8	no	—
901	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
902	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
903	C₂²	—	2	4	no	—
904	C₂²	—	2	8	no	—
905	C₂²	—	2	2	no	—
906	C₂²	—	2	2	no	—
907	C₂²	—	2	4	no	—
908	C₂²	—	2	4	no	—
909	C₂²	—	2	4	no	—
910	C₂²	—	2	4	no	—
911	C₂²	—	2	4	no	—
912	C₂²	—	2	4	no	—
913	C₂²	—	2	4	no	—
914	C₂²	—	2	4	no	—
915	C₂²	—	4	16	no	—
916	C₂²	—	4	8	no	—
917	C₂²	—	4	4	no	—
918	C₂²	—	4	4	no	—
919	C₂²	—	4	8	no	—
920	C₂²	—	4	2	no	—
921	C₂²	—	4	2	no	—
922	C₂²	—	4	4	no	—
923	C₂²	—	4	4	no	—
924	C₂²	—	4	4	no	—
925	C₂²	—	4	4	no	—
926	C₂²	—	4	4	no	—
927	C₂²	—	4	8	no	—
928	C₂²	—	4	8	no	—
929	C₂²	—	4	8	no	—
930	C₂²	—	4	8	no	—
931	C₂²	—	8	16	no	—
932	C₂²	—	8	16	no	—
933	C₂²	—	8	8	no	—
934	C₂²	—	8	16	no	—
935	C₂²	—	8	8	no	—
936	C₂²	—	8	8	no	—
937	C₂²	—	8	8	no	—
938	C₂²	—	8	16	no	—
939	C₂²	—	16	8	no	—
940	C₂²	#3490	1	4	yes	—
941	C₂²	C₂³×#41	1	1	yes	characteristic
942	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
943	C₂²	H(7,𝔽₂)	1	4	yes	—
944	C₄	—	2	4	no	—
945	C₄	—	2	4	no	—
946	C₄	—	4	4	no	—
947	C₄	—	4	4	no	—
948	C₄	—	4	4	no	—
949	C₄	—	4	4	no	—
950	C₄	—	4	4	no	—
951	C₄	—	4	4	no	—
952	C₄	—	4	8	no	—
953	C₄	—	4	4	no	—
954	C₄	—	4	8	no	—
955	C₂	—	2	4	no	—
956	C₂	—	4	2	no	—
957	C₂	—	4	2	no	—
958	C₂	—	4	4	no	—
959	C₂	—	4	4	no	—
960	C₂	—	8	2	no	—
961	C₂	—	8	2	no	—
962	C₂	—	8	4	no	—
963	C₂	C₂×#3490	1	1	yes	characteristic
964	C₂	#62844	1	2	yes	—
965	C₂	#62874	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #49608	C₂	semidirect
2. #49590	C₂	semidirect
3. #47563	C₂	semidirect
4. #47195	C₂	semidirect
5. #47026	C₂	semidirect
6. #46998	C₂	semidirect
7. #46997	C₂	semidirect
8. #46458	C₂	semidirect
9. #46389	C₂	semidirect
10. #46384	C₂	semidirect
11. #37966	C₂	semidirect
12. #37778	C₂	semidirect
13. #37475	C₂	semidirect
14. #37436	C₂	semidirect
15. #36725	C₂	semidirect
16. #35118	C₂	semidirect
17. #34980	C₂	semidirect
18. #34356	C₂	semidirect
19. C₂×#2309	C₂	semidirect
21. C₂×#534	C₂²	semidirect
22. C₂×#529	C₂²	semidirect
24. C₂²×#117	C₂²	semidirect
25. #2853	C₂²	semidirect
26. #2849	C₂²	semidirect
27. #2846	C₂²	semidirect
28. #2842	C₂²	semidirect
29. #2842	C₂²	semidirect
30. #2840	C₂²	semidirect
31. #2812	C₂²	semidirect
32. #2761	C₂²	semidirect
33. #2757	C₂²	semidirect
34. #2756	C₂²	semidirect
35. #2753	C₂²	semidirect
36. #2749	C₂²	semidirect
37. #2737	C₂²	semidirect
38. #2736	C₂²	semidirect
39. #2735	C₂²	semidirect
40. #2735	C₂²	semidirect
41. #2723	C₂²	semidirect
42. #2714	C₂²	semidirect
43. #2711	C₂²	semidirect
44. #2707	C₂²	semidirect
45. #2706	C₂²	semidirect
46. #2705	C₂²	semidirect
47. #2697	C₂²	semidirect
48. #2691	C₂²	semidirect
49. #2685	C₂²	semidirect
50. #2685	C₂²	semidirect
51. #2685	C₂²	semidirect
52. #2684	C₂²	semidirect
53. #2678	C₂²	semidirect
54. #2676	C₂²	semidirect
55. #2670	C₂²	semidirect
56. #2670	C₂²	semidirect
57. #2668	C₂²	semidirect
58. #2627	C₂²	semidirect
59. #2626	C₂²	semidirect
60. #2626	C₂²	semidirect
61. #2622	C₂²	semidirect
62. #2618	C₂²	semidirect
65. #2613	C₂²	semidirect
66. #2611	C₂²	semidirect
67. #2611	C₂²	semidirect
68. #2610	C₂²	semidirect
69. #2610	C₂²	semidirect
70. #2610	C₂²	semidirect
71. #2609	C₂²	semidirect
72. #2609	C₂²	semidirect
73. #2603	C₂²	semidirect
74. #2601	C₂²	semidirect
75. #2601	C₂²	semidirect
76. #2599	C₂²	semidirect
77. #2599	C₂²	semidirect
78. #2598	C₂²	semidirect
79. #2598	C₂²	semidirect
80. #2597	C₂²	semidirect
81. #2554	C₂²	semidirect
82. #2531	C₂²	semidirect
83. #2526	C₂²	semidirect
84. #2483	C₂²	semidirect
85. #2480	C₂²	semidirect
86. #2479	C₂²	semidirect
87. #2476	C₂²	semidirect
88. #2472	C₂²	semidirect
89. #2471	C₂²	semidirect
90. #2461	C₂²	semidirect
91. #2458	C₂²	semidirect
92. #2456	C₂²	semidirect
93. #2437	C₂²	semidirect
94. #2437	C₂²	semidirect
95. #2426	C₂²	semidirect
96. #2424	C₂²	semidirect
97. #2424	C₂²	semidirect
98. #2418	C₂²	semidirect
99. #2414	C₂²	semidirect
100. #2412	C₂²	semidirect
101. #2411	C₂²	semidirect
103. #2410	C₂²	semidirect
104. #2410	C₂²	semidirect
105. #2410	C₂²	semidirect
108. #2405	C₂²	semidirect
109. #2405	C₂²	semidirect
112. #2403	C₂²	semidirect
113. #2403	C₂²	semidirect
114. #2375	C₂²	semidirect
115. #2358	C₂²	semidirect
116. #2342	C₂²	semidirect
117. #2342	C₂²	semidirect
118. D₄×C₂²⋊C₄	C₂²	semidirect
119. D₄×C₂²⋊C₄	C₂²	semidirect
120. #2322	C₂²	semidirect
121. #2321	C₂²	semidirect
122. #2321	C₂²	semidirect
123. #2312	C₂²	semidirect
124. #2312	C₂²	semidirect
129. #2309	C₂²	semidirect
130. #2309	C₂²	semidirect
131. #2309	C₂²	semidirect
132. #2309	C₂²	semidirect
133. #2308	C₂²	semidirect
134. #2308	C₂²	semidirect
135. C₂×#390	C₂²	semidirect
136. #2283	C₂²	semidirect
140. C₂×#379	C₂²	semidirect
157. C₂×#126	C₂³	semidirect
158. C₂×#126	C₂³	semidirect
159. C₂×#125	C₂³	semidirect
160. C₂×#124	C₂³	semidirect
161. C₂×#124	C₂³	semidirect
165. C₂×#123	C₂³	semidirect
166. C₂×#123	C₂³	semidirect
168. C₂×C₂²⋊Q₈	C₂³	semidirect
172. C₂×#121	C₂³	semidirect
184. C₂×#120	C₂³	semidirect
185. C₂×C₄×Q₈	C₂³	semidirect
187. C₂×C₄×D₄	C₂³	semidirect
188. C₂×C₄×D₄	C₂³	semidirect
196. C₂×#117	C₂³	semidirect
197. C₂×#117	C₂³	semidirect
210. C₂²×C₂²⋊C₄	C₂³	semidirect
212. #400	C₂³	semidirect
213. #400	C₂³	semidirect
216. #399	C₂³	semidirect
217. #399	C₂³	semidirect
218. #398	C₂³	semidirect
219. #398	C₂³	semidirect
220. #398	C₂³	semidirect
221. #398	C₂³	semidirect
224. #397	C₂³	semidirect
225. #397	C₂³	semidirect
226. #397	C₂³	semidirect
227. #397	C₂³	semidirect
228. #397	C₂³	semidirect
229. #397	C₂³	semidirect
232. #396	C₂³	semidirect
233. #396	C₂³	semidirect
234. #396	C₂³	semidirect
235. #396	C₂³	semidirect
236. #396	C₂³	semidirect
237. #396	C₂³	semidirect
238. #395	C₂³	semidirect
239. #395	C₂³	semidirect
246. #394	C₂³	semidirect
247. #394	C₂³	semidirect
248. #394	C₂³	semidirect
249. #394	C₂³	semidirect
250. #394	C₂³	semidirect
251. #394	C₂³	semidirect
252. #394	C₂³	semidirect
253. #394	C₂³	semidirect
254. #394	C₂³	semidirect
255. #394	C₂³	semidirect
258. #393	C₂³	semidirect
259. #393	C₂³	semidirect
266. #392	C₂³	semidirect
267. #392	C₂³	semidirect
278. #390	C₂³	semidirect
279. #390	C₂³	semidirect
280. #390	C₂³	semidirect
281. #390	C₂³	semidirect
282. #389	C₂³	semidirect
283. #389	C₂³	semidirect
288. #388	C₂³	semidirect
289. #388	C₂³	semidirect
290. #388	C₂³	semidirect
291. #388	C₂³	semidirect
292. #388	C₂³	semidirect
293. #388	C₂³	semidirect
294. #388	C₂³	semidirect
295. #388	C₂³	semidirect
296. #388	C₂³	semidirect
297. #388	C₂³	semidirect
298. #388	C₂³	semidirect
299. #388	C₂³	semidirect
300. #388	C₂³	semidirect
301. #388	C₂³	semidirect
302. #388	C₂³	semidirect
303. #388	C₂³	semidirect
304. #388	C₂³	semidirect
305. #388	C₂³	semidirect
306. #387	C₂³	semidirect
307. #387	C₂³	semidirect
308. #387	C₂³	semidirect
309. #387	C₂³	semidirect
310. #387	C₂³	semidirect
311. #387	C₂³	semidirect
325. #386	C₂³	semidirect
326. #386	C₂³	semidirect
327. #386	C₂³	semidirect
328. #386	C₂³	semidirect
329. #386	C₂³	semidirect
330. #386	C₂³	semidirect
331. #386	C₂³	semidirect
337. #385	C₂³	semidirect
338. #385	C₂³	semidirect
339. #385	C₂³	semidirect
340. #385	C₂³	semidirect
341. #385	C₂³	semidirect
342. #385	C₂³	semidirect
343. #385	C₂³	semidirect
344. #383	C₂³	semidirect
345. #383	C₂³	semidirect
346. #382	C₂³	semidirect
348. #381	C₂³	semidirect
349. #381	C₂³	semidirect
352. #380	C₂³	semidirect
353. #380	C₂³	semidirect
354. #380	C₂³	semidirect
377. #379	C₂³	semidirect
378. #379	C₂³	semidirect
379. C₄×C₄⋊C₄	C₂³	semidirect
381. C₄×C₂²⋊C₄	C₂³	semidirect
382. C₄×C₂²⋊C₄	C₂³	semidirect
383. C₄×C₂²⋊C₄	C₂³	semidirect
384. #376	C₂³	semidirect
385. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#49608	2
#49590	2
#47563	2
#47195	2
#47026	2
#46998	2
#46997	2
#46458	2
#46389	2
#46384	2
#37966	2
#37778	2
#37475	2
#37436	2
#36725	2
#35118	2
#34980	2
#34356	2
C₂×#2309	2