Subgroups — #7785085

Order 512.

6674 conjugacy classes of subgroups.

The subgroup lattice has 1491 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59848	C₂	1	4	yes	maximal, complemented
2	#49258	C₂	1	4	yes	maximal, complemented
3	#48600	C₂	1	4	yes	maximal, complemented
4	#48405	C₂	1	4	yes	maximal, complemented
5	#48391	C₂	1	4	yes	maximal, complemented
6	#43960	C₂	1	2	yes	maximal, complemented
7	#43890	C₂	1	2	yes	maximal, complemented
8	#43421	C₂	1	4	yes	maximal, complemented
9	#43359	C₂	1	4	yes	maximal, complemented
10	#43038	C₂	1	4	yes	maximal, complemented
11	#43008	C₂	1	4	yes	maximal, complemented
12	#39472	C₂	1	2	yes	maximal, complemented
13	#37848	C₂	1	4	yes	maximal, complemented
14	#37693	C₂	1	2	yes	maximal, complemented
15	#37692	C₂	1	2	yes	maximal, complemented
16	#36714	C₂	1	2	yes	maximal, complemented
17	#36152	C₂	1	2	yes	maximal, complemented
18	#35695	C₂	1	2	yes	maximal, complemented
19	#35692	C₂	1	2	yes	maximal, complemented
20	#35174	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2408	C₂	1	1	yes	maximal, characteristic, complemented
22	#34356	C₂	1	2	yes	maximal, complemented
23	#34264	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
25	C₂×#546	C₂²	1	2	yes	—
26	C₂×#546	C₂²	1	4	yes	complemented
27	C₂×#544	C₂²	1	1	yes	characteristic, complemented
28	C₂×#539	C₂²	1	2	yes	complemented
29	C₂×#538	C₂²	1	2	yes	complemented
30	C₂×#534	C₂²	1	1	yes	characteristic
31	C₂²×#121	C₂²	1	2	yes	—
32	C₂²×#120	C₂²	1	2	yes	—
33	C₂×#518	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
35	#2848	C₂²	1	2	yes	complemented
36	#2848	C₂²	1	2	yes	complemented
37	#2846	C₂²	1	4	yes	—
38	#2803	C₂²	1	4	yes	complemented
39	#2803	C₂²	1	4	yes	complemented
40	#2800	C₂²	1	4	yes	complemented
41	#2800	C₂²	1	4	yes	complemented
42	#2780	C₂²	1	4	yes	complemented
43	#2757	C₂²	1	4	yes	complemented
44	#2747	C₂²	1	4	yes	complemented
45	#2741	C₂²	1	4	yes	complemented
46	#2736	C₂²	1	4	yes	complemented
47	#2735	C₂²	1	4	yes	complemented
48	#2735	C₂²	1	4	yes	complemented
49	#2735	C₂²	1	4	yes	complemented
50	#2731	C₂²	1	4	yes	complemented
51	#2714	C₂²	1	4	yes	complemented
52	#2711	C₂²	1	4	yes	complemented
53	#2711	C₂²	1	4	yes	complemented
54	#2711	C₂²	1	4	yes	complemented
55	#2708	C₂²	1	4	yes	complemented
56	#2703	C₂²	1	4	yes	complemented
57	#2702	C₂²	1	4	yes	complemented
58	#2701	C₂²	1	4	yes	complemented
59	#2701	C₂²	1	4	yes	complemented
60	#2697	C₂²	1	2	yes	complemented
61	#2697	C₂²	1	4	yes	complemented
62	#2697	C₂²	1	2	yes	complemented
63	#2697	C₂²	1	4	yes	complemented
64	#2691	C₂²	1	4	yes	complemented
65	#2690	C₂²	1	4	yes	complemented
66	#2688	C₂²	1	4	yes	complemented
67	#2685	C₂²	1	4	yes	complemented
68	#2685	C₂²	1	4	yes	complemented
69	#2684	C₂²	1	4	yes	complemented
70	#2681	C₂²	1	4	yes	complemented
71	#2679	C₂²	1	2	yes	complemented
72	#2679	C₂²	1	4	yes	complemented
73	#2679	C₂²	1	2	yes	complemented
74	#2678	C₂²	1	4	yes	complemented
75	#2678	C₂²	1	4	yes	complemented
76	#2678	C₂²	1	4	yes	complemented
77	#2678	C₂²	1	4	yes	complemented
78	#2676	C₂²	1	4	yes	complemented
79	#2674	C₂²	1	4	yes	complemented
80	#2648	C₂²	1	4	yes	complemented
81	#2639	C₂²	1	2	yes	complemented
82	#2639	C₂²	1	2	yes	complemented
83	#2635	C₂²	1	2	yes	complemented
84	#2631	C₂²	1	2	yes	complemented
85	#2626	C₂²	1	2	yes	complemented
86	#2626	C₂²	1	2	yes	complemented
87	#2622	C₂²	1	4	yes	—
88	#2618	C₂²	1	2	yes	complemented
89	#2617	C₂²	1	2	yes	complemented
90	#2610	C₂²	1	2	yes	complemented
91	#2602	C₂²	1	4	yes	complemented
92	#2602	C₂²	1	4	yes	complemented
93	#2601	C₂²	1	4	yes	complemented
94	#2598	C₂²	1	2	yes	complemented
95	#2595	C₂²	1	4	yes	complemented
96	#2593	C₂²	1	4	yes	complemented
97	#2577	C₂²	1	4	yes	complemented
98	#2569	C₂²	1	2	yes	complemented
99	#2564	C₂²	1	2	yes	complemented
100	#2561	C₂²	1	4	yes	complemented
101	#2559	C₂²	1	4	yes	complemented
102	#2559	C₂²	1	4	yes	complemented
103	#2558	C₂²	1	4	yes	complemented
104	#2558	C₂²	1	4	yes	complemented
105	#2557	C₂²	1	4	yes	complemented
106	#2554	C₂²	1	4	yes	complemented
107	#2554	C₂²	1	4	yes	complemented
108	#2554	C₂²	1	4	yes	complemented
109	#2539	C₂²	1	2	yes	complemented
110	#2534	C₂²	1	4	yes	complemented
111	#2530	C₂²	1	4	yes	complemented
112	#2526	C₂²	1	4	yes	complemented
113	#2516	C₂²	1	4	yes	complemented
114	#2491	C₂²	1	4	yes	complemented
115	#2490	C₂²	1	4	yes	complemented
116	#2482	C₂²	1	4	yes	complemented
117	#2481	C₂²	1	4	yes	complemented
118	#2480	C₂²	1	4	yes	complemented
119	#2480	C₂²	1	4	yes	complemented
120	#2480	C₂²	1	4	yes	complemented
121	#2480	C₂²	1	4	yes	complemented
122	#2473	C₂²	1	4	yes	complemented
123	#2472	C₂²	1	4	yes	complemented
124	#2472	C₂²	1	4	yes	complemented
125	#2471	C₂²	1	4	yes	complemented
126	#2471	C₂²	1	4	yes	complemented
127	#2468	C₂²	1	4	yes	complemented
128	#2467	C₂²	1	4	yes	complemented
129	#2466	C₂²	1	4	yes	complemented
130	#2460	C₂²	1	4	yes	complemented
131	#2460	C₂²	1	4	yes	complemented
132	#2459	C₂²	1	4	yes	complemented
133	#2457	C₂²	1	4	yes	complemented
134	#2456	C₂²	1	4	yes	complemented
135	#2456	C₂²	1	4	yes	complemented
136	#2454	C₂²	1	4	yes	complemented
137	#2454	C₂²	1	4	yes	complemented
138	#2452	C₂²	1	4	yes	complemented
139	#2452	C₂²	1	4	yes	complemented
140	#2444	C₂²	1	4	yes	complemented
141	#2443	C₂²	1	4	yes	complemented
142	#2437	C₂²	1	4	yes	complemented
143	#2435	C₂²	1	4	yes	complemented
144	#2435	C₂²	1	2	yes	complemented
145	#2432	C₂²	1	4	yes	complemented
146	#2425	C₂²	1	4	yes	complemented
147	#2424	C₂²	1	4	yes	complemented
148	#2424	C₂²	1	4	yes	complemented
149	#2418	C₂²	1	4	yes	complemented
150	#2418	C₂²	1	4	yes	complemented
151	#2412	C₂²	1	4	yes	complemented
152	#2411	C₂²	1	4	yes	complemented
153	#2411	C₂²	1	4	yes	complemented
154	#2411	C₂²	1	4	yes	complemented
155	#2410	C₂²	1	4	yes	—
156	#2410	C₂²	1	4	yes	complemented
157	#2410	C₂²	1	4	yes	complemented
158	#2408	C₂²	1	4	yes	—
159	#2408	C₂²	1	4	yes	—
160	#2408	C₂²	1	2	yes	—
161	#2408	C₂²	1	4	yes	complemented
162	#2408	C₂²	1	4	yes	complemented
163	#2408	C₂²	1	4	yes	complemented
164	#2405	C₂²	1	4	yes	complemented
165	#2405	C₂²	1	4	yes	complemented
166	#2405	C₂²	1	4	yes	complemented
167	#2405	C₂²	1	4	yes	complemented
168	#2404	C₂²	1	2	yes	complemented
169	#2403	C₂²	1	4	yes	complemented
170	#2397	C₂²	1	2	yes	complemented
171	#2392	C₂²	1	4	yes	complemented
172	#2388	C₂²	1	2	yes	complemented
173	C₂×#394	C₂²	1	2	yes	complemented
174	C₂×#392	C₂²	1	2	yes	—
175	#2375	C₂²	1	2	yes	complemented
176	#2375	C₂²	1	4	yes	complemented
177	#2375	C₂²	1	2	yes	complemented
178	#2374	C₂²	1	4	yes	complemented
179	#2368	C₂²	1	2	yes	complemented
180	#2364	C₂²	1	4	yes	complemented
181	#2363	C₂²	1	4	yes	complemented
182	#2361	C₂²	1	4	yes	complemented
183	#2359	C₂²	1	4	yes	complemented
184	#2358	C₂²	1	4	yes	complemented
185	#2358	C₂²	1	2	yes	complemented
186	#2358	C₂²	1	4	yes	complemented
187	#2358	C₂²	1	2	yes	complemented
188	#2358	C₂²	1	4	yes	complemented
189	#2353	C₂²	1	2	yes	complemented
190	#2342	C₂²	1	4	yes	complemented
191	#2342	C₂²	1	4	yes	complemented
192	#2342	C₂²	1	4	yes	complemented
193	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
194	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
195	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
196	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
197	#2325	C₂²	1	2	yes	complemented
198	#2325	C₂²	1	2	yes	complemented
199	#2322	C₂²	1	2	yes	complemented
200	#2321	C₂²	1	2	yes	—
201	#2321	C₂²	1	4	yes	complemented
202	#2321	C₂²	1	4	yes	complemented
203	#2321	C₂²	1	4	yes	complemented
204	#2321	C₂²	1	4	yes	complemented
205	#2316	C₂²	1	1	yes	characteristic, complemented
206	#2312	C₂²	1	4	yes	complemented
207	#2309	C₂²	1	2	yes	—
208	#2308	C₂²	1	1	yes	characteristic
209	C₄×#123	C₂²	1	2	yes	complemented
210	C₄×#120	C₂²	1	2	yes	—
211	#2296	C₂²	1	2	yes	complemented
212	C₂×#390	C₂²	1	2	yes	complemented
213	C₂×#386	C₂²	1	1	yes	characteristic, complemented
214	C₂×#385	C₂²	1	1	yes	characteristic, complemented
215	C₂×#380	C₂²	1	1	yes	characteristic, complemented
216	C₂×#379	C₂²	1	4	yes	complemented
217	C₂×#379	C₂²	1	2	yes	complemented
218	#2273	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	2	yes	—
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂³×D₄	—	4	4	no	—
222	C₂³×D₄	—	4	8	no	—
223	C₂³×D₄	C₂³	1	2	yes	—
224	C₂³×D₄	C₂³	1	4	yes	—
225	C₂³×D₄	C₂³	1	2	yes	—
226	C₂³×D₄	C₂³	1	1	yes	characteristic
227	C₂³×D₄	C₂³	1	4	yes	—
228	C₂³×D₄	C₂³	1	4	yes	—
229	C₂³×D₄	C₂³	1	1	yes	characteristic
230	C₂⁴×C₄	C₂³	1	1	yes	characteristic
231	C₂⁴×C₄	C₂³	1	1	yes	characteristic
232	#546	—	4	8	no	—
233	#546	—	4	16	no	—
234	#544	—	4	4	no	—
235	#539	—	4	8	no	—
236	#538	—	4	8	no	—
237	#534	—	2	8	no	—
238	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
239	C₂×#126	C₂³	1	4	yes	complemented
240	C₂×#126	C₂³	1	4	yes	complemented
241	C₂×#126	C₂³	1	4	yes	complemented
242	C₂×#125	C₂³	1	4	yes	complemented
243	C₂×#125	C₂³	1	4	yes	complemented
244	C₂×#124	C₂³	1	2	yes	—
245	C₂×#124	C₂³	1	4	yes	—
246	C₂×#124	C₂³	1	4	yes	complemented
247	C₂×#123	C₂³	1	2	yes	—
248	C₂×#123	C₂³	1	2	yes	—
249	C₂×#123	C₂³	1	4	yes	—
250	C₂×#123	C₂³	1	4	yes	—
251	C₂×#123	C₂³	1	4	yes	—
252	C₂×#123	C₂³	1	4	yes	complemented
253	C₂×#123	C₂³	1	4	yes	complemented
254	C₂×#123	C₂³	1	4	yes	complemented
255	C₂×#123	C₂³	1	4	yes	complemented
256	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
257	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
260	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
261	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
262	C₂×#121	—	4	8	no	—
263	C₂×#121	C₂³	1	2	yes	—
264	C₂×#121	C₂³	1	2	yes	—
265	C₂×#121	C₂³	1	4	yes	—
266	C₂×#121	C₂³	1	4	yes	—
267	C₂×#121	C₂³	1	2	yes	—
268	C₂×#121	C₂³	1	2	yes	—
269	C₂×#121	C₂³	1	2	yes	—
270	C₂×#121	C₂³	1	4	yes	—
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	4	yes	—
273	C₂×#121	C₂³	1	4	yes	—
274	C₂×#121	C₂³	1	4	yes	—
275	C₂×#120	—	2	16	no	—
276	C₂×#120	C₂³	1	2	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×#120	C₂³	1	4	yes	—
279	C₂×#120	C₂³	1	2	yes	—
280	C₂×#120	C₂³	1	2	yes	—
281	C₂×#120	C₂³	1	2	yes	—
282	C₂×#120	C₂³	1	2	yes	—
283	C₂×#120	C₂³	1	2	yes	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	4	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	yes	—
290	C₂×#120	C₂³	1	4	yes	complemented
291	C₂×#120	C₂³	1	4	yes	complemented
292	#518	—	4	4	no	—
293	C₂×C₄×D₄	—	4	4	no	—
294	C₂×C₄×D₄	C₂³	1	2	yes	—
295	C₂×C₄×D₄	C₂³	1	2	yes	—
296	C₂×C₄×D₄	C₂³	1	2	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×C₄×D₄	C₂³	1	4	yes	—
299	C₂×C₄×D₄	C₂³	1	4	yes	—
300	C₂×C₄×D₄	C₂³	1	4	yes	—
301	C₂×C₄×D₄	C₂³	1	4	yes	complemented
302	C₂×C₄×D₄	C₂³	1	4	yes	complemented
303	C₂×C₄×D₄	C₂³	1	2	yes	complemented
304	C₂×C₄×D₄	C₂³	1	2	yes	complemented
305	C₂×C₄×D₄	C₂³	1	4	yes	complemented
306	C₂×C₄×D₄	C₂³	1	4	yes	complemented
307	C₂×C₄×D₄	C₂³	1	4	yes	complemented
308	C₂×#117	C₂³	1	2	yes	—
309	C₂×#117	C₂³	1	2	yes	—
310	C₂×#117	C₂³	1	2	yes	complemented
311	C₂×#117	C₂³	1	4	yes	complemented
312	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
315	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
331	C₂²×C₂²⋊C₄	C₂³	1	2	yes	complemented
332	C₂²×C₄²	C₂³	1	1	yes	characteristic
333	#400	C₂³	1	2	yes	complemented
334	#400	C₂³	1	4	yes	complemented
335	#400	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#400	C₂³	1	4	yes	complemented
338	#399	C₂³	1	4	yes	—
339	#399	C₂³	1	2	yes	complemented
340	#399	C₂³	1	2	yes	complemented
341	#399	C₂³	1	2	yes	complemented
342	#399	C₂³	1	4	yes	complemented
343	#399	C₂³	1	4	yes	complemented
344	#398	C₂³	1	4	yes	complemented
345	#398	C₂³	1	4	yes	complemented
346	#398	C₂³	1	4	yes	complemented
347	#398	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	4	yes	—
351	#397	C₂³	1	4	yes	—
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#397	C₂³	1	4	yes	complemented
358	#397	C₂³	1	4	yes	complemented
359	#397	C₂³	1	4	yes	complemented
360	#397	C₂³	1	4	yes	complemented
361	#397	C₂³	1	4	yes	complemented
362	#397	C₂³	1	4	yes	complemented
363	#396	C₂³	1	4	yes	—
364	#396	C₂³	1	4	yes	—
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
367	#396	C₂³	1	4	yes	complemented
368	#396	C₂³	1	4	yes	complemented
369	#396	C₂³	1	4	yes	complemented
370	#396	C₂³	1	4	yes	complemented
371	#396	C₂³	1	4	yes	complemented
372	#396	C₂³	1	4	yes	complemented
373	#396	C₂³	1	4	yes	complemented
374	#396	C₂³	1	4	yes	complemented
375	#396	C₂³	1	4	yes	complemented
376	#395	C₂³	1	2	yes	complemented
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	2	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	2	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	4	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	complemented
396	#394	C₂³	1	4	yes	complemented
397	#394	C₂³	1	4	yes	complemented
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#394	C₂³	1	4	yes	complemented
406	#394	C₂³	1	4	yes	complemented
407	#394	C₂³	1	4	yes	complemented
408	#394	C₂³	1	4	yes	complemented
409	#393	C₂³	1	4	yes	—
410	#393	C₂³	1	4	yes	complemented
411	#393	C₂³	1	2	yes	complemented
412	#393	C₂³	1	2	yes	complemented
413	#393	C₂³	1	2	yes	complemented
414	#393	C₂³	1	4	yes	complemented
415	#392	C₂³	1	2	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	2	yes	—
419	#392	C₂³	1	4	yes	—
420	#392	C₂³	1	2	yes	—
421	#392	C₂³	1	2	yes	—
422	#392	C₂³	1	2	yes	—
423	#392	C₂³	1	4	yes	—
424	#392	C₂³	1	4	yes	—
425	#392	C₂³	1	4	yes	complemented
426	#392	C₂³	1	4	yes	complemented
427	#392	C₂³	1	4	yes	complemented
428	#392	C₂³	1	4	yes	complemented
429	#391	C₂³	1	4	yes	complemented
430	#390	C₂³	1	4	yes	—
431	#390	C₂³	1	2	yes	—
432	#390	C₂³	1	2	yes	—
433	#390	C₂³	1	2	yes	—
434	#390	C₂³	1	2	yes	—
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	4	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	4	yes	—
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	—
444	#390	C₂³	1	4	yes	complemented
445	#390	C₂³	1	4	yes	complemented
446	#390	C₂³	1	4	yes	complemented
447	#390	C₂³	1	4	yes	complemented
448	#390	C₂³	1	4	yes	complemented
449	#390	C₂³	1	4	yes	complemented
450	#390	C₂³	1	4	yes	complemented
451	#390	C₂³	1	4	yes	complemented
452	#390	C₂³	1	4	yes	complemented
453	#390	C₂³	1	4	yes	complemented
454	#389	C₂³	1	4	yes	complemented
455	#389	C₂³	1	4	yes	complemented
456	#389	C₂³	1	4	yes	complemented
457	#389	C₂³	1	4	yes	complemented
458	#389	C₂³	1	4	yes	complemented
459	#389	C₂³	1	4	yes	complemented
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	complemented
471	#388	C₂³	1	4	yes	complemented
472	#388	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	complemented
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#388	C₂³	1	4	yes	complemented
491	#388	C₂³	1	4	yes	complemented
492	#388	C₂³	1	4	yes	complemented
493	#388	C₂³	1	4	yes	complemented
494	#388	C₂³	1	4	yes	complemented
495	#388	C₂³	1	4	yes	complemented
496	#388	C₂³	1	4	yes	complemented
497	#388	C₂³	1	4	yes	complemented
498	#388	C₂³	1	4	yes	complemented
499	#388	C₂³	1	4	yes	complemented
500	#388	C₂³	1	4	yes	complemented
501	#388	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	2	yes	—
516	#386	C₂³	1	2	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	2	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	2	yes	—
529	#386	C₂³	1	4	yes	complemented
530	#386	C₂³	1	4	yes	complemented
531	#386	C₂³	1	4	yes	complemented
532	#386	C₂³	1	4	yes	complemented
533	#386	C₂³	1	4	yes	complemented
534	#386	C₂³	1	4	yes	complemented
535	#386	C₂³	1	4	yes	complemented
536	#386	C₂³	1	4	yes	complemented
537	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
539	#386	C₂³	1	4	yes	complemented
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#386	C₂³	1	4	yes	complemented
544	#386	C₂³	1	4	yes	complemented
545	#386	C₂³	1	4	yes	complemented
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	2	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	2	yes	—
555	#385	C₂³	1	4	yes	complemented
556	#385	C₂³	1	4	yes	complemented
557	#385	C₂³	1	4	yes	complemented
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#385	C₂³	1	4	yes	complemented
564	#385	C₂³	1	4	yes	complemented
565	#385	C₂³	1	4	yes	complemented
566	#385	C₂³	1	4	yes	complemented
567	#385	C₂³	1	4	yes	complemented
568	#383	C₂³	1	2	yes	complemented
569	#381	C₂³	1	2	yes	—
570	#381	C₂³	1	4	yes	complemented
571	#381	C₂³	1	4	yes	complemented
572	#381	C₂³	1	2	yes	complemented
573	#380	C₂³	1	4	yes	—
574	#380	C₂³	1	4	yes	—
575	#380	C₂³	1	2	yes	—
576	#380	C₂³	1	2	yes	—
577	#380	C₂³	1	4	yes	—
578	#380	C₂³	1	4	yes	—
579	#380	C₂³	1	4	yes	—
580	#380	C₂³	1	2	yes	complemented
581	#380	C₂³	1	2	yes	complemented
582	#380	C₂³	1	4	yes	complemented
583	#380	C₂³	1	4	yes	complemented
584	#379	C₂³	1	4	yes	—
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	2	yes	—
587	#379	C₂³	1	4	yes	—
588	#379	C₂³	1	4	yes	—
589	#379	C₂³	1	4	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	4	yes	—
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	4	yes	—
603	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
604	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
605	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
606	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
607	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
619	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
620	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
622	#376	C₂³	1	2	yes	complemented
623	C₂×#95	C₂³	1	2	yes	—
624	C₂×#95	C₂³	1	2	yes	complemented
625	C₂×#95	C₂³	1	2	yes	complemented
626	C₂⁵	—	2	8	no	—
627	C₂⁵	—	4	4	no	—
628	C₂⁵	—	4	8	no	—
629	C₂⁵	—	4	4	no	—
630	C₂⁵	—	8	4	no	—
631	C₂⁵	C₂⁴	1	4	yes	—
632	C₂⁵	C₂⁴	1	2	yes	—
633	C₂⁵	C₂⁴	1	4	yes	—
634	C₂⁵	C₂⁴	1	1	yes	characteristic
635	C₂⁵	C₂⁴	1	1	yes	characteristic
636	C₂⁵	C₂⁴	1	1	yes	characteristic
637	C₂⁵	C₂⁴	1	2	yes	—
638	C₂×#41	—	4	8	no	—
639	C₂×#41	—	4	4	no	—
640	C₂²×Q₈	C₂⁴	1	2	yes	—
641	C₂²×Q₈	C₂⁴	1	2	yes	—
642	C₂²×D₄	—	2	4	no	—
643	C₂²×D₄	—	2	16	no	—
644	C₂²×D₄	—	2	8	no	—
645	C₂²×D₄	—	2	16	no	—
646	C₂²×D₄	—	2	8	no	—
647	C₂²×D₄	—	4	4	no	—
648	C₂²×D₄	—	4	8	no	—
649	C₂²×D₄	—	4	8	no	—
650	C₂²×D₄	—	4	8	no	—
651	C₂²×D₄	—	4	2	no	—
652	C₂²×D₄	—	4	4	no	—
653	C₂²×D₄	—	4	2	no	—
654	C₂²×D₄	—	4	2	no	—
655	C₂²×D₄	—	4	8	no	—
656	C₂²×D₄	—	4	8	no	—
657	C₂²×D₄	—	4	8	no	—
658	C₂²×D₄	—	4	2	no	—
659	C₂²×D₄	—	4	8	no	—
660	C₂²×D₄	—	4	64	no	—
661	C₂²×D₄	—	8	4	no	—
662	C₂²×D₄	#41	1	8	yes	complemented
663	C₂²×D₄	C₂⁴	1	2	yes	—
664	C₂²×D₄	C₂⁴	1	2	yes	—
665	C₂²×D₄	C₂⁴	1	4	yes	—
666	C₂²×D₄	C₂⁴	1	4	yes	—
667	C₂²×D₄	C₂⁴	1	4	yes	—
668	C₂²×D₄	C₂⁴	1	4	yes	—
669	C₂²×D₄	C₂⁴	1	4	yes	—
670	C₂²×D₄	C₂⁴	1	2	yes	—
671	C₂²×D₄	C₂⁴	1	4	yes	—
672	C₂²×D₄	C₂⁴	1	4	yes	—
673	C₂²×D₄	C₂⁴	1	4	yes	—
674	C₂²×D₄	C₂⁴	1	4	yes	—
675	C₂²×D₄	C₂⁴	1	2	yes	—
676	C₂²×D₄	C₂⁴	1	2	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂²×D₄	C₂⁴	1	4	yes	—
679	C₂²×D₄	C₂⁴	1	2	yes	—
680	C₂²×D₄	C₂⁴	1	2	yes	—
681	C₂²×D₄	C₂⁴	1	2	yes	—
682	C₂³×C₄	—	2	4	no	—
683	C₂³×C₄	—	4	4	no	—
684	C₂³×C₄	—	4	4	no	—
685	C₂³×C₄	—	4	2	no	—
686	C₂³×C₄	C₂⁴	1	1	yes	characteristic
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	1	yes	characteristic
689	C₂³×C₄	C₂⁴	1	1	yes	characteristic
690	C₂³×C₄	C₂⁴	1	1	yes	characteristic
691	C₂³×C₄	C₂⁴	1	4	yes	—
692	C₂³×C₄	C₂⁴	1	4	yes	—
693	C₂³×C₄	C₂⁴	1	4	yes	—
694	C₂³×C₄	C₂⁴	1	2	yes	—
695	C₂³×C₄	C₂⁴	1	2	yes	—
696	C₂³×C₄	C₂⁴	1	2	yes	—
697	C₂³×C₄	C₂⁴	1	2	yes	—
698	C₂³×C₄	C₂⁴	1	1	yes	characteristic
699	C₂³×C₄	C₂⁴	1	4	yes	—
700	C₂³×C₄	C₂⁴	1	4	yes	—
701	C₂³×C₄	C₂⁴	1	2	yes	—
702	C₂³×C₄	C₂⁴	1	1	yes	characteristic
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	2	yes	—
705	C₂³×C₄	C₂⁴	1	1	yes	characteristic
706	C₄⋊Q₈	—	4	8	no	—
707	#126	—	4	8	no	—
708	#126	—	4	8	no	—
709	#126	—	8	4	no	—
710	#125	—	4	8	no	—
711	#125	—	4	8	no	—
712	#124	—	4	4	no	—
713	#124	—	4	8	no	—
714	#124	—	4	8	no	—
715	#123	—	2	8	no	—
716	#123	—	2	16	no	—
717	#123	—	2	8	no	—
718	#123	—	4	8	no	—
719	#123	—	4	8	no	—
720	#123	—	4	8	no	—
721	#123	—	4	8	no	—
722	#123	—	8	4	no	—
723	#123	—	8	4	no	—
724	C₂²⋊Q₈	—	2	8	no	—
725	C₂²⋊Q₈	—	4	4	no	—
726	C₂²⋊Q₈	—	4	8	no	—
727	C₂²⋊Q₈	—	4	8	no	—
728	C₂²⋊Q₈	—	4	4	no	—
729	C₂²⋊Q₈	—	4	4	no	—
730	#121	—	2	16	no	—
731	#121	—	2	8	no	—
732	#121	—	2	8	no	—
733	#121	—	2	16	no	—
734	#121	—	4	8	no	—
735	#121	—	4	8	no	—
736	#121	—	4	8	no	—
737	#121	—	4	8	no	—
738	#121	—	4	8	no	—
739	#121	—	4	4	no	—
740	#121	—	4	4	no	—
741	#121	—	4	4	no	—
742	#120	—	2	8	no	—
743	#120	—	2	8	no	—
744	#120	—	2	8	no	—
745	#120	—	2	16	no	—
746	#120	—	2	16	no	—
747	#120	—	2	8	no	—
748	#120	—	2	8	no	—
749	#120	—	2	8	no	—
750	#120	—	4	8	no	—
751	#120	—	4	8	no	—
752	#120	—	4	8	no	—
753	#120	—	4	8	no	—
754	#120	—	4	8	no	—
755	#120	—	8	4	no	—
756	#120	—	8	4	no	—
757	#120	—	8	4	no	—
758	C₄×D₄	—	2	8	no	—
759	C₄×D₄	—	4	4	no	—
760	C₄×D₄	—	4	4	no	—
761	C₄×D₄	—	4	8	no	—
762	C₄×D₄	—	4	8	no	—
763	C₄×D₄	—	4	8	no	—
764	C₄×D₄	—	4	4	no	—
765	C₄×D₄	—	4	4	no	—
766	C₄×D₄	—	4	8	no	—
767	C₄×D₄	—	4	8	no	—
768	C₄×D₄	—	4	8	no	—
769	C₄×D₄	—	8	4	no	—
770	C₄×D₄	—	8	4	no	—
771	C₄×D₄	—	8	4	no	—
772	#117	—	4	4	no	—
773	#117	—	4	4	no	—
774	#117	—	4	4	no	—
775	#117	—	8	4	no	—
776	C₂×C₄⋊C₄	—	2	4	no	—
777	C₂×C₄⋊C₄	—	4	4	no	—
778	C₂×C₄⋊C₄	—	4	4	no	—
779	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
781	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	—	2	8	no	—
811	C₂×C₂²⋊C₄	—	2	4	no	—
812	C₂×C₂²⋊C₄	—	2	16	no	—
813	C₂×C₂²⋊C₄	—	2	4	no	—
814	C₂×C₂²⋊C₄	—	4	4	no	—
815	C₂×C₂²⋊C₄	—	4	4	no	—
816	C₂×C₂²⋊C₄	—	4	2	no	—
817	C₂×C₂²⋊C₄	—	4	8	no	—
818	C₂×C₂²⋊C₄	—	4	2	no	—
819	C₂×C₂²⋊C₄	—	4	8	no	—
820	C₂×C₂²⋊C₄	—	4	8	no	—
821	C₂×C₂²⋊C₄	—	4	8	no	—
822	C₂×C₂²⋊C₄	—	4	2	no	—
823	C₂×C₂²⋊C₄	—	4	8	no	—
824	C₂×C₂²⋊C₄	—	8	4	no	—
825	C₂×C₂²⋊C₄	—	8	4	no	—
826	C₂×C₂²⋊C₄	—	8	4	no	—
827	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₄²	—	4	2	no	—
898	C₂×C₄²	C₂⁴	1	2	yes	—
899	C₂×C₄²	C₂⁴	1	4	yes	—
900	C₂×C₄²	C₂⁴	1	2	yes	—
901	C₂×C₄²	C₂⁴	1	2	yes	—
902	C₂×C₄²	C₂⁴	1	2	yes	—
903	C₂×C₄²	C₂⁴	1	4	yes	—
904	C₂×C₄²	C₂⁴	1	4	yes	—
905	C₂×C₄²	C₂⁴	1	4	yes	—
906	C₂×C₄²	C₂⁴	1	4	yes	—
907	C₂×C₄²	C₂⁴	1	4	yes	—
908	C₂×C₄²	C₂⁴	1	4	yes	—
909	C₂×C₄²	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	2	yes	—
911	#95	C₂⁴	1	2	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	#95	C₂⁴	1	2	yes	—
918	#95	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	4	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	2	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	C₂⁴	—	2	2	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	2	no	—
947	C₂⁴	—	2	2	no	—
948	C₂⁴	—	2	8	no	—
949	C₂⁴	—	2	8	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	2	8	no	—
952	C₂⁴	—	2	8	no	—
953	C₂⁴	—	2	8	no	—
954	C₂⁴	—	2	8	no	—
955	C₂⁴	—	2	2	no	—
956	C₂⁴	—	2	8	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	—	4	2	no	—
960	C₂⁴	—	4	4	no	—
961	C₂⁴	—	4	4	no	—
962	C₂⁴	—	4	4	no	—
963	C₂⁴	—	4	2	no	—
964	C₂⁴	—	4	4	no	—
965	C₂⁴	—	4	4	no	—
966	C₂⁴	—	4	4	no	—
967	C₂⁴	—	4	2	no	—
968	C₂⁴	—	4	4	no	—
969	C₂⁴	—	4	2	no	—
970	C₂⁴	—	4	2	no	—
971	C₂⁴	—	4	4	no	—
972	C₂⁴	—	4	1	no	—
973	C₂⁴	—	4	1	no	—
974	C₂⁴	—	4	4	no	—
975	C₂⁴	—	4	4	no	—
976	C₂⁴	—	4	2	no	—
977	C₂⁴	—	4	4	no	—
978	C₂⁴	—	4	2	no	—
979	C₂⁴	—	4	2	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	32	no	—
982	C₂⁴	—	8	16	no	—
983	C₂⁴	—	8	32	no	—
984	C₂⁴	—	8	32	no	—
985	C₂⁴	—	8	16	no	—
986	C₂⁴	C₂×#41	1	4	yes	—
987	C₂⁴	C₂×#41	1	4	yes	—
988	C₂⁴	C₂⁵	1	4	yes	—
989	C₂⁴	C₂⁵	1	2	yes	—
990	C₂⁴	C₂⁵	1	2	yes	—
991	C₂⁴	C₂⁵	1	1	yes	characteristic
992	C₂⁴	C₂⁵	1	1	yes	characteristic
993	C₂⁴	C₂⁵	1	4	yes	—
994	C₂⁴	C₂⁵	1	1	yes	characteristic
995	#41	—	8	16	no	—
996	C₂×Q₈	—	2	4	no	—
997	C₂×Q₈	—	4	4	no	—
998	C₂×Q₈	—	4	2	no	—
999	C₂×Q₈	—	4	2	no	—
1000	C₂×Q₈	—	4	2	no	—
1001	C₂×D₄	—	2	8	no	—
1002	C₂×D₄	—	2	8	no	—
1003	C₂×D₄	—	2	8	no	—
1004	C₂×D₄	—	2	4	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	2	8	no	—
1008	C₂×D₄	—	2	8	no	—
1009	C₂×D₄	—	2	8	no	—
1010	C₂×D₄	—	2	8	no	—
1011	C₂×D₄	—	2	4	no	—
1012	C₂×D₄	—	2	8	no	—
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	2	8	no	—
1017	C₂×D₄	—	2	4	no	—
1018	C₂×D₄	—	2	4	no	—
1019	C₂×D₄	—	2	8	no	—
1020	C₂×D₄	—	2	8	no	—
1021	C₂×D₄	—	2	4	no	—
1022	C₂×D₄	—	4	2	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	2	no	—
1025	C₂×D₄	—	4	4	no	—
1026	C₂×D₄	—	4	4	no	—
1027	C₂×D₄	—	4	2	no	—
1028	C₂×D₄	—	4	4	no	—
1029	C₂×D₄	—	4	2	no	—
1030	C₂×D₄	—	4	4	no	—
1031	C₂×D₄	—	4	4	no	—
1032	C₂×D₄	—	4	2	no	—
1033	C₂×D₄	—	4	2	no	—
1034	C₂×D₄	—	4	16	no	—
1035	C₂×D₄	—	4	2	no	—
1036	C₂×D₄	—	4	2	no	—
1037	C₂×D₄	—	4	2	no	—
1038	C₂×D₄	—	4	32	no	—
1039	C₂×D₄	—	4	4	no	—
1040	C₂×D₄	—	4	4	no	—
1041	C₂×D₄	—	4	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	4	no	—
1044	C₂×D₄	—	4	4	no	—
1045	C₂×D₄	—	4	4	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	32	no	—
1056	C₂×D₄	—	4	64	no	—
1057	C₂×D₄	—	4	16	no	—
1058	C₂×D₄	—	4	64	no	—
1059	C₂×D₄	—	8	32	no	—
1060	C₂×D₄	C₂×#41	1	8	yes	—
1061	C₂×D₄	C₂×#41	1	8	yes	—
1062	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	4	no	—
1067	C₂²×C₄	—	2	2	no	—
1068	C₂²×C₄	—	2	8	no	—
1069	C₂²×C₄	—	2	4	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	8	no	—
1073	C₂²×C₄	—	2	8	no	—
1074	C₂²×C₄	—	2	8	no	—
1075	C₂²×C₄	—	2	8	no	—
1076	C₂²×C₄	—	2	4	no	—
1077	C₂²×C₄	—	2	4	no	—
1078	C₂²×C₄	—	2	4	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	2	no	—
1081	C₂²×C₄	—	4	4	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	2	no	—
1084	C₂²×C₄	—	4	4	no	—
1085	C₂²×C₄	—	4	4	no	—
1086	C₂²×C₄	—	4	4	no	—
1087	C₂²×C₄	—	4	4	no	—
1088	C₂²×C₄	—	4	2	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	—	4	4	no	—
1091	C₂²×C₄	—	4	2	no	—
1092	C₂²×C₄	—	4	2	no	—
1093	C₂²×C₄	—	4	2	no	—
1094	C₂²×C₄	—	4	4	no	—
1095	C₂²×C₄	—	4	2	no	—
1096	C₂²×C₄	—	4	2	no	—
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	2	no	—
1100	C₂²×C₄	—	4	2	no	—
1101	C₂²×C₄	—	4	1	no	—
1102	C₂²×C₄	—	4	4	no	—
1103	C₂²×C₄	—	4	4	no	—
1104	C₂²×C₄	—	4	4	no	—
1105	C₂²×C₄	—	4	2	no	—
1106	C₂²×C₄	—	4	4	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	—	4	2	no	—
1111	C₂²×C₄	—	4	2	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	4	16	no	—
1114	C₂²×C₄	—	8	8	no	—
1115	C₂²×C₄	C₂×#41	1	4	yes	—
1116	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1117	C₂²×C₄	C₂⁵	1	2	yes	—
1118	C₂²×C₄	C₂⁵	1	4	yes	—
1119	C₂²×C₄	C₂⁵	1	2	yes	—
1120	C₂²×C₄	C₂⁵	1	4	yes	—
1121	C₂²×C₄	C₂⁵	1	4	yes	—
1122	C₂²×C₄	C₂⁵	1	4	yes	—
1123	C₂²×C₄	C₂⁵	1	4	yes	—
1124	C₂²×C₄	C₂⁵	1	4	yes	—
1125	C₂²×C₄	C₂⁵	1	2	yes	—
1126	C₂²×C₄	C₂⁵	1	2	yes	—
1127	C₂²×C₄	C₂⁵	1	4	yes	—
1128	C₂²×C₄	C₂⁵	1	4	yes	—
1129	C₂²×C₄	C₂⁵	1	2	yes	—
1130	C₂²×C₄	C₂⁵	1	2	yes	—
1131	C₂²×C₄	C₂⁵	1	2	yes	—
1132	C₂²×C₄	C₂⁵	1	2	yes	—
1133	C₄⋊C₄	—	2	8	no	—
1134	C₄⋊C₄	—	2	8	no	—
1135	C₄⋊C₄	—	2	8	no	—
1136	C₄⋊C₄	—	2	4	no	—
1137	C₄⋊C₄	—	2	4	no	—
1138	C₄⋊C₄	—	2	4	no	—
1139	C₄⋊C₄	—	2	4	no	—
1140	C₄⋊C₄	—	2	8	no	—
1141	C₄⋊C₄	—	2	8	no	—
1142	C₄⋊C₄	—	2	8	no	—
1143	C₄⋊C₄	—	4	4	no	—
1144	C₄⋊C₄	—	4	4	no	—
1145	C₄⋊C₄	—	4	4	no	—
1146	C₄⋊C₄	—	4	2	no	—
1147	C₄⋊C₄	—	4	2	no	—
1148	C₄⋊C₄	—	4	2	no	—
1149	C₄⋊C₄	—	4	4	no	—
1150	C₄⋊C₄	—	4	4	no	—
1151	C₄⋊C₄	—	4	4	no	—
1152	C₄⋊C₄	—	4	4	no	—
1153	C₄⋊C₄	—	4	4	no	—
1154	C₄⋊C₄	—	4	4	no	—
1155	C₄⋊C₄	—	4	4	no	—
1156	C₄⋊C₄	—	4	2	no	—
1157	C₄⋊C₄	—	4	4	no	—
1158	C₄⋊C₄	—	4	2	no	—
1159	C₄⋊C₄	—	4	4	no	—
1160	C₄⋊C₄	—	4	2	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	4	no	—
1163	C₄⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	2	8	no	—
1165	C₂²⋊C₄	—	2	4	no	—
1166	C₂²⋊C₄	—	2	4	no	—
1167	C₂²⋊C₄	—	2	4	no	—
1168	C₂²⋊C₄	—	2	4	no	—
1169	C₂²⋊C₄	—	2	8	no	—
1170	C₂²⋊C₄	—	2	4	no	—
1171	C₂²⋊C₄	—	2	8	no	—
1172	C₂²⋊C₄	—	2	8	no	—
1173	C₂²⋊C₄	—	2	8	no	—
1174	C₂²⋊C₄	—	2	8	no	—
1175	C₂²⋊C₄	—	2	8	no	—
1176	C₂²⋊C₄	—	2	8	no	—
1177	C₂²⋊C₄	—	2	8	no	—
1178	C₂²⋊C₄	—	2	4	no	—
1179	C₂²⋊C₄	—	2	8	no	—
1180	C₂²⋊C₄	—	2	8	no	—
1181	C₂²⋊C₄	—	2	8	no	—
1182	C₂²⋊C₄	—	2	8	no	—
1183	C₂²⋊C₄	—	2	8	no	—
1184	C₂²⋊C₄	—	2	8	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	4	no	—
1187	C₂²⋊C₄	—	2	4	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	4	2	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	2	no	—
1194	C₂²⋊C₄	—	4	2	no	—
1195	C₂²⋊C₄	—	4	4	no	—
1196	C₂²⋊C₄	—	4	4	no	—
1197	C₂²⋊C₄	—	4	4	no	—
1198	C₂²⋊C₄	—	4	4	no	—
1199	C₂²⋊C₄	—	4	4	no	—
1200	C₂²⋊C₄	—	4	4	no	—
1201	C₂²⋊C₄	—	4	4	no	—
1202	C₂²⋊C₄	—	4	4	no	—
1203	C₂²⋊C₄	—	4	4	no	—
1204	C₂²⋊C₄	—	4	4	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	4	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	4	no	—
1224	C₂²⋊C₄	—	4	4	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	4	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₄²	—	2	4	no	—
1235	C₄²	—	4	4	no	—
1236	C₄²	—	4	2	no	—
1237	C₄²	—	4	2	no	—
1238	C₄²	—	4	2	no	—
1239	C₄²	—	4	4	no	—
1240	C₄²	—	4	4	no	—
1241	C₄²	—	4	4	no	—
1242	C₄²	—	4	4	no	—
1243	C₄²	—	4	4	no	—
1244	C₄²	—	4	4	no	—
1245	C₄²	—	4	4	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	4	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	4	no	—
1256	C₂³	—	2	4	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	4	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	4	no	—
1262	C₂³	—	2	4	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	4	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	8	no	—
1267	C₂³	—	2	8	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	4	no	—
1270	C₂³	—	2	4	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	4	no	—
1273	C₂³	—	2	4	no	—
1274	C₂³	—	2	4	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	4	no	—
1278	C₂³	—	2	4	no	—
1279	C₂³	—	2	4	no	—
1280	C₂³	—	4	8	no	—
1281	C₂³	—	4	8	no	—
1282	C₂³	—	4	16	no	—
1283	C₂³	—	4	8	no	—
1284	C₂³	—	4	16	no	—
1285	C₂³	—	4	16	no	—
1286	C₂³	—	4	16	no	—
1287	C₂³	—	4	16	no	—
1288	C₂³	—	4	4	no	—
1289	C₂³	—	4	4	no	—
1290	C₂³	—	4	8	no	—
1291	C₂³	—	4	16	no	—
1292	C₂³	—	4	4	no	—
1293	C₂³	—	4	8	no	—
1294	C₂³	—	4	16	no	—
1295	C₂³	—	8	2	no	—
1296	C₂³	—	8	2	no	—
1297	C₂³	—	8	4	no	—
1298	C₂³	—	8	8	no	—
1299	C₂³	—	8	8	no	—
1300	C₂³	—	8	8	no	—
1301	C₂³	—	8	8	no	—
1302	C₂³	—	8	8	no	—
1303	C₂³	—	8	4	no	—
1304	C₂³	—	8	8	no	—
1305	C₂³	—	8	4	no	—
1306	C₂³	—	8	8	no	—
1307	C₂³	—	8	8	no	—
1308	C₂³	—	8	4	no	—
1309	C₂³	—	8	4	no	—
1310	C₂³	—	8	8	no	—
1311	C₂³	—	8	4	no	—
1312	C₂³	—	8	8	no	—
1313	C₂³	—	8	8	no	—
1314	C₂³	—	8	128	no	—
1315	C₂³	—	16	1	no	—
1316	C₂³	—	16	1	no	—
1317	C₂³	—	16	2	no	—
1318	C₂³	C₂²×#41	1	4	yes	—
1319	C₂³	C₂²×#41	1	2	yes	—
1320	C₂³	C₂²×#41	1	2	yes	—
1321	C₂³	C₂²×#41	1	2	yes	—
1322	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1323	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1324	C₂³	#585	1	2	yes	—
1325	C₂³	C₂⁶	1	1	yes	characteristic
1326	Q₈	—	8	4	no	—
1327	Q₈	—	16	2	no	—
1328	D₄	—	2	16	no	—
1329	D₄	—	4	8	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	8	no	—
1332	D₄	—	4	16	no	—
1333	D₄	—	4	16	no	—
1334	D₄	—	4	8	no	—
1335	D₄	—	4	8	no	—
1336	D₄	—	4	16	no	—
1337	D₄	—	4	16	no	—
1338	D₄	—	4	8	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	8	8	no	—
1341	D₄	—	8	8	no	—
1342	D₄	—	8	8	no	—
1343	D₄	—	8	8	no	—
1344	D₄	—	8	8	no	—
1345	D₄	—	16	4	no	—
1346	D₄	—	16	4	no	—
1347	C₂×C₄	—	2	8	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	4	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	8	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	4	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	2	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	4	no	—
1364	C₂×C₄	—	2	2	no	—
1365	C₂×C₄	—	2	4	no	—
1366	C₂×C₄	—	2	4	no	—
1367	C₂×C₄	—	2	4	no	—
1368	C₂×C₄	—	2	4	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	4	no	—
1371	C₂×C₄	—	2	2	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	4	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	2	2	no	—
1376	C₂×C₄	—	2	4	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	2	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	4	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	4	no	—
1386	C₂×C₄	—	2	4	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	4	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	4	4	no	—
1391	C₂×C₄	—	4	16	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	8	4	no	—
1394	C₂×C₄	—	8	4	no	—
1395	C₂×C₄	—	8	4	no	—
1396	C₂×C₄	—	8	4	no	—
1397	C₂×C₄	—	8	2	no	—
1398	C₂×C₄	—	8	8	no	—
1399	C₂×C₄	—	8	2	no	—
1400	C₂×C₄	—	8	8	no	—
1401	C₂×C₄	—	8	8	no	—
1402	C₂×C₄	—	16	1	no	—
1403	C₂×C₄	—	16	2	no	—
1404	C₂×C₄	—	16	1	no	—
1405	C₂×C₄	—	16	4	no	—
1406	C₂×C₄	—	16	2	no	—
1407	C₂×C₄	—	16	4	no	—
1408	C₂×C₄	C₂²×#41	1	4	yes	—
1409	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1410	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1411	C₂²	—	2	4	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	4	no	—
1415	C₂²	—	2	4	no	—
1416	C₂²	—	2	4	no	—
1417	C₂²	—	2	8	no	—
1418	C₂²	—	2	8	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	2	8	no	—
1423	C₂²	—	2	8	no	—
1424	C₂²	—	4	16	no	—
1425	C₂²	—	4	4	no	—
1426	C₂²	—	4	4	no	—
1427	C₂²	—	4	2	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	4	no	—
1432	C₂²	—	4	2	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	4	no	—
1435	C₂²	—	4	2	no	—
1436	C₂²	—	4	4	no	—
1437	C₂²	—	4	2	no	—
1438	C₂²	—	4	4	no	—
1439	C₂²	—	4	4	no	—
1440	C₂²	—	4	4	no	—
1441	C₂²	—	4	2	no	—
1442	C₂²	—	4	4	no	—
1443	C₂²	—	4	2	no	—
1444	C₂²	—	4	4	no	—
1445	C₂²	—	4	2	no	—
1446	C₂²	—	4	4	no	—
1447	C₂²	—	4	4	no	—
1448	C₂²	—	4	4	no	—
1449	C₂²	—	4	4	no	—
1450	C₂²	—	8	8	no	—
1451	C₂²	—	8	32	no	—
1452	C₂²	—	8	16	no	—
1453	C₂²	—	8	32	no	—
1454	C₂²	—	8	16	no	—
1455	C₂²	—	16	4	no	—
1456	C₂²	#3505	1	4	yes	—
1457	C₂²	C₂³×#41	1	1	yes	characteristic
1458	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1459	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1460	C₂²	C₂×#585	1	1	yes	characteristic
1461	C₂²	H(7,𝔽₂)	1	2	yes	—
1462	C₄	—	2	4	no	—
1463	C₄	—	2	4	no	—
1464	C₄	—	2	4	no	—
1465	C₄	—	4	4	no	—
1466	C₄	—	4	4	no	—
1467	C₄	—	4	4	no	—
1468	C₄	—	4	2	no	—
1469	C₄	—	4	2	no	—
1470	C₄	—	4	2	no	—
1471	C₄	—	4	4	no	—
1472	C₄	—	4	2	no	—
1473	C₄	—	4	2	no	—
1474	C₄	—	4	4	no	—
1475	C₄	—	4	4	no	—
1476	C₄	—	4	4	no	—
1477	C₄	—	4	4	no	—
1478	C₂	—	2	4	no	—
1479	C₂	—	4	4	no	—
1480	C₂	—	4	2	no	—
1481	C₂	—	4	8	no	—
1482	C₂	—	4	2	no	—
1483	C₂	—	8	4	no	—
1484	C₂	—	8	2	no	—
1485	C₂	C₂×#3505	1	1	yes	characteristic
1486	C₂	#62817	1	1	yes	characteristic
1487	C₂	#62876	1	1	yes	characteristic
1488	C₂	#62918	1	2	yes	—
1489	C₂	#62983	1	2	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. #59848	C₂	semidirect
2. #49258	C₂	semidirect
3. #48600	C₂	semidirect
4. #48405	C₂	semidirect
5. #48391	C₂	semidirect
6. #43960	C₂	semidirect
7. #43890	C₂	semidirect
8. #43421	C₂	semidirect
9. #43359	C₂	semidirect
10. #43038	C₂	semidirect
11. #43008	C₂	semidirect
12. #39472	C₂	semidirect
13. #37848	C₂	semidirect
14. #37693	C₂	semidirect
15. #37692	C₂	semidirect
16. #36714	C₂	semidirect
17. #36152	C₂	semidirect
18. #35695	C₂	semidirect
19. #35692	C₂	semidirect
20. #35174	C₂	semidirect
21. C₂×#2408	C₂	semidirect
22. #34356	C₂	semidirect
23. #34264	C₂	semidirect
24. C₂⁴×D₄	C₂²	semidirect
26. C₂×#546	C₂²	semidirect
27. C₂×#544	C₂²	semidirect
28. C₂×#539	C₂²	semidirect
29. C₂×#538	C₂²	semidirect
33. C₂×#518	C₂²	semidirect
35. #2848	C₂²	semidirect
36. #2848	C₂²	semidirect
38. #2803	C₂²	semidirect
39. #2803	C₂²	semidirect
40. #2800	C₂²	semidirect
41. #2800	C₂²	semidirect
42. #2780	C₂²	semidirect
43. #2757	C₂²	semidirect
44. #2747	C₂²	semidirect
45. #2741	C₂²	semidirect
46. #2736	C₂²	semidirect
47. #2735	C₂²	semidirect
48. #2735	C₂²	semidirect
49. #2735	C₂²	semidirect
50. #2731	C₂²	semidirect
51. #2714	C₂²	semidirect
52. #2711	C₂²	semidirect
53. #2711	C₂²	semidirect
54. #2711	C₂²	semidirect
55. #2708	C₂²	semidirect
56. #2703	C₂²	semidirect
57. #2702	C₂²	semidirect
58. #2701	C₂²	semidirect
59. #2701	C₂²	semidirect
60. #2697	C₂²	semidirect
61. #2697	C₂²	semidirect
62. #2697	C₂²	semidirect
63. #2697	C₂²	semidirect
64. #2691	C₂²	semidirect
65. #2690	C₂²	semidirect
66. #2688	C₂²	semidirect
67. #2685	C₂²	semidirect
68. #2685	C₂²	semidirect
69. #2684	C₂²	semidirect
70. #2681	C₂²	semidirect
71. #2679	C₂²	semidirect
72. #2679	C₂²	semidirect
73. #2679	C₂²	semidirect
74. #2678	C₂²	semidirect
75. #2678	C₂²	semidirect
76. #2678	C₂²	semidirect
77. #2678	C₂²	semidirect
78. #2676	C₂²	semidirect
79. #2674	C₂²	semidirect
80. #2648	C₂²	semidirect
81. #2639	C₂²	semidirect
82. #2639	C₂²	semidirect
83. #2635	C₂²	semidirect
84. #2631	C₂²	semidirect
85. #2626	C₂²	semidirect
86. #2626	C₂²	semidirect
88. #2618	C₂²	semidirect
89. #2617	C₂²	semidirect
90. #2610	C₂²	semidirect
91. #2602	C₂²	semidirect
92. #2602	C₂²	semidirect
93. #2601	C₂²	semidirect
94. #2598	C₂²	semidirect
95. #2595	C₂²	semidirect
96. #2593	C₂²	semidirect
97. #2577	C₂²	semidirect
98. #2569	C₂²	semidirect
99. #2564	C₂²	semidirect
100. #2561	C₂²	semidirect
101. #2559	C₂²	semidirect
102. #2559	C₂²	semidirect
103. #2558	C₂²	semidirect
104. #2558	C₂²	semidirect
105. #2557	C₂²	semidirect
106. #2554	C₂²	semidirect
107. #2554	C₂²	semidirect
108. #2554	C₂²	semidirect
109. #2539	C₂²	semidirect
110. #2534	C₂²	semidirect
111. #2530	C₂²	semidirect
112. #2526	C₂²	semidirect
113. #2516	C₂²	semidirect
114. #2491	C₂²	semidirect
115. #2490	C₂²	semidirect
116. #2482	C₂²	semidirect
117. #2481	C₂²	semidirect
118. #2480	C₂²	semidirect
119. #2480	C₂²	semidirect
120. #2480	C₂²	semidirect
121. #2480	C₂²	semidirect
122. #2473	C₂²	semidirect
123. #2472	C₂²	semidirect
124. #2472	C₂²	semidirect
125. #2471	C₂²	semidirect
126. #2471	C₂²	semidirect
127. #2468	C₂²	semidirect
128. #2467	C₂²	semidirect
129. #2466	C₂²	semidirect
130. #2460	C₂²	semidirect
131. #2460	C₂²	semidirect
132. #2459	C₂²	semidirect
133. #2457	C₂²	semidirect
134. #2456	C₂²	semidirect
135. #2456	C₂²	semidirect
136. #2454	C₂²	semidirect
137. #2454	C₂²	semidirect
138. #2452	C₂²	semidirect
139. #2452	C₂²	semidirect
140. #2444	C₂²	semidirect
141. #2443	C₂²	semidirect
142. #2437	C₂²	semidirect
143. #2435	C₂²	semidirect
144. #2435	C₂²	semidirect
145. #2432	C₂²	semidirect
146. #2425	C₂²	semidirect
147. #2424	C₂²	semidirect
148. #2424	C₂²	semidirect
149. #2418	C₂²	semidirect
150. #2418	C₂²	semidirect
151. #2412	C₂²	semidirect
152. #2411	C₂²	semidirect
153. #2411	C₂²	semidirect
154. #2411	C₂²	semidirect
156. #2410	C₂²	semidirect
157. #2410	C₂²	semidirect
161. #2408	C₂²	semidirect
162. #2408	C₂²	semidirect
163. #2408	C₂²	semidirect
164. #2405	C₂²	semidirect
165. #2405	C₂²	semidirect
166. #2405	C₂²	semidirect
167. #2405	C₂²	semidirect
168. #2404	C₂²	semidirect
169. #2403	C₂²	semidirect
170. #2397	C₂²	semidirect
171. #2392	C₂²	semidirect
172. #2388	C₂²	semidirect
173. C₂×#394	C₂²	semidirect
175. #2375	C₂²	semidirect
176. #2375	C₂²	semidirect
177. #2375	C₂²	semidirect
178. #2374	C₂²	semidirect
179. #2368	C₂²	semidirect
180. #2364	C₂²	semidirect
181. #2363	C₂²	semidirect
182. #2361	C₂²	semidirect
183. #2359	C₂²	semidirect
184. #2358	C₂²	semidirect
185. #2358	C₂²	semidirect
186. #2358	C₂²	semidirect
187. #2358	C₂²	semidirect
188. #2358	C₂²	semidirect
189. #2353	C₂²	semidirect
190. #2342	C₂²	semidirect
191. #2342	C₂²	semidirect
192. #2342	C₂²	semidirect
193. D₄×C₂²⋊C₄	C₂²	semidirect
194. D₄×C₂²⋊C₄	C₂²	semidirect
195. D₄×C₂²⋊C₄	C₂²	semidirect
196. D₄×C₂²⋊C₄	C₂²	semidirect
197. #2325	C₂²	semidirect
198. #2325	C₂²	semidirect
199. #2322	C₂²	semidirect
201. #2321	C₂²	semidirect
202. #2321	C₂²	semidirect
203. #2321	C₂²	semidirect
204. #2321	C₂²	semidirect
205. #2316	C₂²	semidirect
206. #2312	C₂²	semidirect
209. C₄×#123	C₂²	semidirect
211. #2296	C₂²	semidirect
212. C₂×#390	C₂²	semidirect
213. C₂×#386	C₂²	semidirect
214. C₂×#385	C₂²	semidirect
215. C₂×#380	C₂²	semidirect
216. C₂×#379	C₂²	semidirect
217. C₂×#379	C₂²	semidirect
218. #2273	C₂²	semidirect
238. C₂×C₄⋊Q₈	C₂³	semidirect
239. C₂×#126	C₂³	semidirect
240. C₂×#126	C₂³	semidirect
241. C₂×#126	C₂³	semidirect
242. C₂×#125	C₂³	semidirect
243. C₂×#125	C₂³	semidirect
246. C₂×#124	C₂³	semidirect
252. C₂×#123	C₂³	semidirect
253. C₂×#123	C₂³	semidirect
254. C₂×#123	C₂³	semidirect
255. C₂×#123	C₂³	semidirect
259. C₂×C₂²⋊Q₈	C₂³	semidirect
260. C₂×C₂²⋊Q₈	C₂³	semidirect
261. C₂×C₂²⋊Q₈	C₂³	semidirect
290. C₂×#120	C₂³	semidirect
291. C₂×#120	C₂³	semidirect
301. C₂×C₄×D₄	C₂³	semidirect
302. C₂×C₄×D₄	C₂³	semidirect
303. C₂×C₄×D₄	C₂³	semidirect
304. C₂×C₄×D₄	C₂³	semidirect
305. C₂×C₄×D₄	C₂³	semidirect
306. C₂×C₄×D₄	C₂³	semidirect
307. C₂×C₄×D₄	C₂³	semidirect
310. C₂×#117	C₂³	semidirect
311. C₂×#117	C₂³	semidirect
314. C₂²×C₄⋊C₄	C₂³	semidirect
330. C₂²×C₂²⋊C₄	C₂³	semidirect
331. C₂²×C₂²⋊C₄	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
337. #400	C₂³	semidirect
339. #399	C₂³	semidirect
340. #399	C₂³	semidirect
341. #399	C₂³	semidirect
342. #399	C₂³	semidirect
343. #399	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #398	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #397	C₂³	semidirect
359. #397	C₂³	semidirect
360. #397	C₂³	semidirect
361. #397	C₂³	semidirect
362. #397	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
367. #396	C₂³	semidirect
368. #396	C₂³	semidirect
369. #396	C₂³	semidirect
370. #396	C₂³	semidirect
371. #396	C₂³	semidirect
372. #396	C₂³	semidirect
373. #396	C₂³	semidirect
374. #396	C₂³	semidirect
375. #396	C₂³	semidirect
376. #395	C₂³	semidirect
395. #394	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
405. #394	C₂³	semidirect
406. #394	C₂³	semidirect
407. #394	C₂³	semidirect
408. #394	C₂³	semidirect
410. #393	C₂³	semidirect
411. #393	C₂³	semidirect
412. #393	C₂³	semidirect
413. #393	C₂³	semidirect
414. #393	C₂³	semidirect
425. #392	C₂³	semidirect
426. #392	C₂³	semidirect
427. #392	C₂³	semidirect
428. #392	C₂³	semidirect
429. #391	C₂³	semidirect
444. #390	C₂³	semidirect
445. #390	C₂³	semidirect
446. #390	C₂³	semidirect
447. #390	C₂³	semidirect
448. #390	C₂³	semidirect
449. #390	C₂³	semidirect
450. #390	C₂³	semidirect
451. #390	C₂³	semidirect
452. #390	C₂³	semidirect
453. #390	C₂³	semidirect
454. #389	C₂³	semidirect
455. #389	C₂³	semidirect
456. #389	C₂³	semidirect
457. #389	C₂³	semidirect
458. #389	C₂³	semidirect
459. #389	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #388	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	C₂³	semidirect
491. #388	C₂³	semidirect
492. #388	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	C₂³	semidirect
497. #388	C₂³	semidirect
498. #388	C₂³	semidirect
499. #388	C₂³	semidirect
500. #388	C₂³	semidirect
501. #388	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
529. #386	C₂³	semidirect
530. #386	C₂³	semidirect
531. #386	C₂³	semidirect
532. #386	C₂³	semidirect
533. #386	C₂³	semidirect
534. #386	C₂³	semidirect
535. #386	C₂³	semidirect
536. #386	C₂³	semidirect
537. #386	C₂³	semidirect
538. #386	C₂³	semidirect
539. #386	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
543. #386	C₂³	semidirect
544. #386	C₂³	semidirect
545. #386	C₂³	semidirect
555. #385	C₂³	semidirect
556. #385	C₂³	semidirect
557. #385	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #385	C₂³	semidirect
564. #385	C₂³	semidirect
565. #385	C₂³	semidirect
566. #385	C₂³	semidirect
567. #385	C₂³	semidirect
568. #383	C₂³	semidirect
570. #381	C₂³	semidirect
571. #381	C₂³	semidirect
572. #381	C₂³	semidirect
580. #380	C₂³	semidirect
581. #380	C₂³	semidirect
582. #380	C₂³	semidirect
583. #380	C₂³	semidirect
603. C₄×C₄⋊C₄	C₂³	semidirect
604. C₄×C₄⋊C₄	C₂³	semidirect
605. C₄×C₄⋊C₄	C₂³	semidirect
606. C₄×C₄⋊C₄	C₂³	semidirect
612. C₄×C₂²⋊C₄	C₂³	semidirect
613. C₄×C₂²⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. C₄×C₂²⋊C₄	C₂³	semidirect
618. C₄×C₂²⋊C₄	C₂³	semidirect
619. C₄×C₂²⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
621. C₄×C₂²⋊C₄	C₂³	semidirect
622. #376	C₂³	semidirect
624. C₂×#95	C₂³	semidirect
625. C₂×#95	C₂³	semidirect
662. C₂²×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#59848	2
#49258	2
#48600	2
#48405	2
#48391	2
#43960	2
#43890	2
#43421	2
#43359	2
#43038	2
#43008	2
#39472	2
#37848	2
#37693	2
#37692	2
#36714	2
#36152	2
#35695	2
#35692	2
#35174	2
C₂×#2408	2
#34356	2
#34264	2