Subgroups — #7716501

Order 512.

6680 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#49601	C₂	1	4	yes	maximal, complemented
2	#49599	C₂	1	4	yes	maximal, complemented
3	#47891	C₂	1	4	yes	maximal, complemented
4	#47889	C₂	1	4	yes	maximal, complemented
5	#45367	C₂	1	2	yes	maximal, complemented
6	#45365	C₂	1	2	yes	maximal, complemented
7	#45097	C₂	1	2	yes	maximal, complemented
8	#44961	C₂	1	2	yes	maximal, complemented
9	#44959	C₂	1	2	yes	maximal, complemented
10	#44957	C₂	1	2	yes	maximal, complemented
11	#44955	C₂	1	2	yes	maximal, complemented
12	#44876	C₂	1	2	yes	maximal, complemented
13	#39511	C₂	1	1	yes	maximal, characteristic, complemented
14	#39383	C₂	1	1	yes	maximal, characteristic, complemented
15	#39252	C₂	1	4	yes	maximal, complemented
16	#39198	C₂	1	2	yes	maximal, complemented
17	#37949	C₂	1	2	yes	maximal, complemented
18	#37761	C₂	1	2	yes	maximal, complemented
19	#36725	C₂	1	4	yes	maximal, complemented
20	#36441	C₂	1	2	yes	maximal, complemented
21	#36161	C₂	1	1	yes	maximal, characteristic, complemented
22	#36101	C₂	1	1	yes	maximal, characteristic, complemented
23	#35222	C₂	1	2	yes	maximal, complemented
24	#35050	C₂	1	2	yes	maximal, complemented
25	#35032	C₂	1	1	yes	maximal, characteristic, complemented
26	#34988	C₂	1	2	yes	maximal, complemented
27	#34578	C₂	1	1	yes	maximal, characteristic, complemented
28	#34404	C₂	1	2	yes	maximal, complemented
29	C₂×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂⁴×D₄	C₂²	1	1	yes	characteristic
31	C₂×#559	C₂²	1	2	yes	complemented
32	C₂×#556	C₂²	1	1	yes	characteristic, complemented
33	C₂×#550	C₂²	1	1	yes	characteristic, complemented
34	C₂×#538	C₂²	1	2	yes	complemented
35	C₂×#535	C₂²	1	2	yes	—
36	C₂×#535	C₂²	1	2	yes	—
37	C₂×#525	C₂²	1	2	yes	—
38	C₂×#525	C₂²	1	2	yes	complemented
39	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
41	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
42	#2857	C₂²	1	1	yes	characteristic, complemented
43	#2856	C₂²	1	1	yes	characteristic, complemented
44	#2850	C₂²	1	2	yes	complemented
45	#2849	C₂²	1	4	yes	complemented
46	#2848	C₂²	1	2	yes	complemented
47	#2847	C₂²	1	2	yes	complemented
48	#2846	C₂²	1	4	yes	—
49	#2846	C₂²	1	4	yes	—
50	#2808	C₂²	1	2	yes	complemented
51	#2803	C₂²	1	4	yes	complemented
52	#2803	C₂²	1	4	yes	complemented
53	#2800	C₂²	1	4	yes	complemented
54	#2797	C₂²	1	4	yes	complemented
55	#2761	C₂²	1	4	yes	complemented
56	#2757	C₂²	1	4	yes	complemented
57	#2756	C₂²	1	4	yes	complemented
58	#2753	C₂²	1	4	yes	complemented
59	#2749	C₂²	1	4	yes	complemented
60	#2737	C₂²	1	4	yes	complemented
61	#2736	C₂²	1	4	yes	complemented
62	#2735	C₂²	1	4	yes	complemented
63	#2735	C₂²	1	4	yes	complemented
64	#2735	C₂²	1	4	yes	complemented
65	#2733	C₂²	1	2	yes	complemented
66	#2727	C₂²	1	2	yes	complemented
67	#2723	C₂²	1	4	yes	complemented
68	#2714	C₂²	1	4	yes	complemented
69	#2710	C₂²	1	4	yes	complemented
70	#2706	C₂²	1	4	yes	complemented
71	#2703	C₂²	1	4	yes	complemented
72	#2701	C₂²	1	4	yes	complemented
73	#2699	C₂²	1	4	yes	complemented
74	#2697	C₂²	1	4	yes	complemented
75	#2697	C₂²	1	4	yes	complemented
76	#2691	C₂²	1	4	yes	complemented
77	#2688	C₂²	1	4	yes	complemented
78	#2686	C₂²	1	4	yes	complemented
79	#2685	C₂²	1	4	yes	complemented
80	#2685	C₂²	1	4	yes	complemented
81	#2685	C₂²	1	4	yes	complemented
82	#2685	C₂²	1	4	yes	complemented
83	#2684	C₂²	1	4	yes	complemented
84	#2684	C₂²	1	4	yes	complemented
85	#2682	C₂²	1	2	yes	complemented
86	#2678	C₂²	1	4	yes	complemented
87	#2678	C₂²	1	4	yes	complemented
88	#2672	C₂²	1	4	yes	complemented
89	#2671	C₂²	1	4	yes	complemented
90	#2670	C₂²	1	4	yes	complemented
91	#2668	C₂²	1	4	yes	complemented
92	#2667	C₂²	1	2	yes	complemented
93	#2667	C₂²	1	2	yes	complemented
94	#2665	C₂²	1	2	yes	complemented
95	#2665	C₂²	1	2	yes	complemented
96	#2659	C₂²	1	1	yes	characteristic, complemented
97	#2659	C₂²	1	1	yes	characteristic, complemented
98	#2646	C₂²	1	2	yes	complemented
99	#2626	C₂²	1	2	yes	—
100	#2626	C₂²	1	1	yes	characteristic
101	#2626	C₂²	1	1	yes	characteristic
102	#2626	C₂²	1	2	yes	complemented
103	#2622	C₂²	1	4	yes	complemented
104	#2617	C₂²	1	2	yes	—
105	#2617	C₂²	1	2	yes	—
106	#2617	C₂²	1	2	yes	complemented
107	#2613	C₂²	1	4	yes	—
108	#2613	C₂²	1	4	yes	—
109	#2610	C₂²	1	4	yes	complemented
110	#2603	C₂²	1	4	yes	complemented
111	#2602	C₂²	1	4	yes	complemented
112	#2602	C₂²	1	4	yes	complemented
113	#2602	C₂²	1	4	yes	complemented
114	#2600	C₂²	1	4	yes	complemented
115	#2597	C₂²	1	4	yes	complemented
116	#2592	C₂²	1	2	yes	complemented
117	#2592	C₂²	1	2	yes	complemented
118	#2580	C₂²	1	2	yes	complemented
119	#2561	C₂²	1	4	yes	complemented
120	#2559	C₂²	1	4	yes	complemented
121	#2555	C₂²	1	4	yes	complemented
122	#2554	C₂²	1	4	yes	complemented
123	#2548	C₂²	1	2	yes	complemented
124	#2548	C₂²	1	2	yes	complemented
125	#2548	C₂²	1	2	yes	complemented
126	#2547	C₂²	1	1	yes	characteristic, complemented
127	#2545	C₂²	1	2	yes	complemented
128	#2544	C₂²	1	2	yes	complemented
129	#2544	C₂²	1	2	yes	complemented
130	#2543	C₂²	1	4	yes	complemented
131	#2541	C₂²	1	1	yes	characteristic, complemented
132	#2541	C₂²	1	2	yes	complemented
133	#2539	C₂²	1	4	yes	complemented
134	#2538	C₂²	1	1	yes	characteristic, complemented
135	#2538	C₂²	1	1	yes	characteristic, complemented
136	#2534	C₂²	1	4	yes	complemented
137	#2534	C₂²	1	4	yes	complemented
138	#2531	C₂²	1	4	yes	complemented
139	#2526	C₂²	1	4	yes	complemented
140	#2513	C₂²	1	2	yes	complemented
141	#2513	C₂²	1	2	yes	complemented
142	#2512	C₂²	1	2	yes	complemented
143	#2512	C₂²	1	2	yes	complemented
144	#2500	C₂²	1	2	yes	complemented
145	#2499	C₂²	1	2	yes	complemented
146	#2485	C₂²	1	2	yes	complemented
147	#2482	C₂²	1	4	yes	complemented
148	#2480	C₂²	1	4	yes	complemented
149	#2480	C₂²	1	4	yes	complemented
150	#2480	C₂²	1	4	yes	complemented
151	#2480	C₂²	1	4	yes	complemented
152	#2479	C₂²	1	4	yes	complemented
153	#2476	C₂²	1	4	yes	complemented
154	#2472	C₂²	1	4	yes	complemented
155	#2472	C₂²	1	4	yes	complemented
156	#2472	C₂²	1	4	yes	complemented
157	#2472	C₂²	1	4	yes	complemented
158	#2466	C₂²	1	4	yes	complemented
159	#2464	C₂²	1	4	yes	complemented
160	#2461	C₂²	1	4	yes	complemented
161	#2459	C₂²	1	4	yes	complemented
162	#2456	C₂²	1	4	yes	complemented
163	#2455	C₂²	1	4	yes	complemented
164	#2448	C₂²	1	2	yes	complemented
165	#2448	C₂²	1	2	yes	complemented
166	#2447	C₂²	1	2	yes	complemented
167	#2447	C₂²	1	2	yes	complemented
168	#2445	C₂²	1	2	yes	complemented
169	#2445	C₂²	1	2	yes	complemented
170	#2445	C₂²	1	2	yes	complemented
171	#2445	C₂²	1	2	yes	complemented
172	#2444	C₂²	1	4	yes	complemented
173	#2435	C₂²	1	2	yes	—
174	#2435	C₂²	1	2	yes	—
175	#2435	C₂²	1	2	yes	—
176	#2435	C₂²	1	2	yes	—
177	#2433	C₂²	1	2	yes	—
178	#2433	C₂²	1	2	yes	—
179	#2433	C₂²	1	2	yes	—
180	#2433	C₂²	1	2	yes	—
181	#2432	C₂²	1	2	yes	complemented
182	#2431	C₂²	1	2	yes	complemented
183	#2430	C₂²	1	4	yes	complemented
184	#2425	C₂²	1	4	yes	complemented
185	#2424	C₂²	1	4	yes	complemented
186	#2424	C₂²	1	4	yes	complemented
187	#2424	C₂²	1	4	yes	complemented
188	#2424	C₂²	1	4	yes	complemented
189	#2418	C₂²	1	4	yes	complemented
190	#2418	C₂²	1	4	yes	complemented
191	#2418	C₂²	1	4	yes	complemented
192	#2418	C₂²	1	4	yes	complemented
193	#2415	C₂²	1	2	yes	complemented
194	#2414	C₂²	1	2	yes	complemented
195	#2411	C₂²	1	4	yes	complemented
196	#2411	C₂²	1	4	yes	complemented
197	#2408	C₂²	1	4	yes	—
198	#2408	C₂²	1	4	yes	—
199	#2408	C₂²	1	4	yes	—
200	#2408	C₂²	1	4	yes	—
201	#2407	C₂²	1	2	yes	complemented
202	#2404	C₂²	1	4	yes	complemented
203	#2396	C₂²	1	2	yes	complemented
204	#2396	C₂²	1	2	yes	complemented
205	#2396	C₂²	1	2	yes	complemented
206	#2396	C₂²	1	2	yes	complemented
207	#2376	C₂²	1	4	yes	complemented
208	#2376	C₂²	1	4	yes	complemented
209	#2367	C₂²	1	2	yes	complemented
210	#2367	C₂²	1	2	yes	complemented
211	#2366	C₂²	1	2	yes	complemented
212	#2366	C₂²	1	2	yes	complemented
213	#2361	C₂²	1	2	yes	complemented
214	#2361	C₂²	1	2	yes	complemented
215	#2360	C₂²	1	2	yes	complemented
216	#2360	C₂²	1	2	yes	complemented
217	#2357	C₂²	1	2	yes	complemented
218	#2354	C₂²	1	1	yes	characteristic, complemented
219	#2354	C₂²	1	1	yes	characteristic, complemented
220	#2353	C₂²	1	4	yes	complemented
221	#2349	C₂²	1	4	yes	complemented
222	#2347	C₂²	1	2	yes	complemented
223	#2346	C₂²	1	2	yes	complemented
224	#2341	C₂²	1	2	yes	complemented
225	#2339	C₂²	1	2	yes	complemented
226	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
227	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
228	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
229	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
230	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
231	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
232	#2325	C₂²	1	2	yes	complemented
233	#2325	C₂²	1	2	yes	complemented
234	#2324	C₂²	1	2	yes	complemented
235	#2324	C₂²	1	2	yes	complemented
236	#2323	C₂²	1	2	yes	complemented
237	#2323	C₂²	1	2	yes	complemented
238	#2321	C₂²	1	4	yes	—
239	#2321	C₂²	1	4	yes	—
240	#2321	C₂²	1	4	yes	complemented
241	#2319	C₂²	1	4	yes	complemented
242	#2318	C₂²	1	4	yes	complemented
243	#2312	C₂²	1	2	yes	complemented
244	#2309	C₂²	1	2	yes	—
245	#2309	C₂²	1	2	yes	—
246	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
247	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
248	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
249	C₄×#120	C₂²	1	4	yes	complemented
250	C₂×#390	C₂²	1	1	yes	characteristic
251	C₂×#390	C₂²	1	1	yes	characteristic
252	C₂×#386	C₂²	1	2	yes	—
253	C₂×#386	C₂²	1	2	yes	—
254	#2280	C₂²	1	2	yes	—
255	#2280	C₂²	1	2	yes	complemented
256	C₂×#380	C₂²	1	1	yes	characteristic
257	C₂×#379	C₂²	1	2	yes	—
258	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
259	C₂⁶	C₂³	1	2	yes	—
260	C₂²×#41	C₂³	1	2	yes	—
261	C₂²×#41	C₂³	1	2	yes	complemented
262	C₂³×D₄	—	2	8	no	—
263	C₂³×D₄	—	4	4	no	—
264	C₂³×D₄	—	4	4	no	—
265	C₂³×D₄	C₂³	1	1	yes	characteristic
266	C₂³×D₄	C₂³	1	2	yes	—
267	C₂³×D₄	C₂³	1	2	yes	—
268	C₂³×D₄	C₂³	1	4	yes	—
269	C₂³×D₄	C₂³	1	2	yes	—
270	C₂³×D₄	C₂³	1	1	yes	characteristic
271	C₂⁴×C₄	C₂³	1	2	yes	—
272	C₂⁴×C₄	C₂³	1	2	yes	—
273	C₂⁴×C₄	C₂³	1	1	yes	characteristic
274	#559	—	4	8	no	—
275	#556	—	4	4	no	—
276	#550	—	4	4	no	—
277	#538	—	4	8	no	—
278	#535	—	4	8	no	—
279	#535	—	4	8	no	—
280	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
281	C₂×#127	C₂³	1	2	yes	—
282	C₂×#127	C₂³	1	2	yes	—
283	C₂×#127	C₂³	1	2	yes	—
284	C₂×#127	C₂³	1	2	yes	—
285	C₂×#127	C₂³	1	1	yes	characteristic, complemented
286	C₂×#126	C₂³	1	4	yes	complemented
287	C₂×#126	C₂³	1	4	yes	complemented
288	C₂×#126	C₂³	1	4	yes	complemented
289	C₂×#124	C₂³	1	2	yes	—
290	C₂×#124	C₂³	1	2	yes	—
291	C₂×#124	C₂³	1	2	yes	—
292	C₂×#124	C₂³	1	2	yes	—
293	C₂×#124	C₂³	1	2	yes	complemented
294	C₂×#124	C₂³	1	4	yes	complemented
295	C₂×#124	C₂³	1	4	yes	complemented
296	C₂×#124	C₂³	1	4	yes	complemented
297	#525	—	2	16	no	—
298	#525	—	4	8	no	—
299	C₂×#123	C₂³	1	4	yes	—
300	C₂×#123	C₂³	1	4	yes	complemented
301	C₂×#123	C₂³	1	4	yes	complemented
302	C₂×#123	C₂³	1	4	yes	complemented
303	C₂×#123	C₂³	1	4	yes	complemented
304	C₂×#123	C₂³	1	4	yes	complemented
305	C₂×#123	C₂³	1	4	yes	complemented
306	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
311	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
312	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
313	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
314	C₂×#121	C₂³	1	2	yes	—
315	C₂×#121	C₂³	1	2	yes	—
316	C₂×#121	C₂³	1	2	yes	—
317	C₂×#121	C₂³	1	2	yes	—
318	C₂×#121	C₂³	1	4	yes	—
319	C₂×#121	C₂³	1	4	yes	—
320	C₂×#121	C₂³	1	4	yes	—
321	C₂×#121	C₂³	1	4	yes	—
322	C₂×#121	C₂³	1	2	yes	complemented
323	C₂×#121	C₂³	1	2	yes	complemented
324	C₂×#121	C₂³	1	4	yes	complemented
325	C₂×#121	C₂³	1	4	yes	complemented
326	C₂×#121	C₂³	1	2	yes	complemented
327	C₂×#121	C₂³	1	4	yes	complemented
328	C₂×#120	C₂³	1	4	yes	—
329	C₂×#120	C₂³	1	4	yes	—
330	C₂×#120	C₂³	1	4	yes	—
331	C₂×#120	C₂³	1	4	yes	—
332	C₂×#120	C₂³	1	4	yes	—
333	C₂×#120	C₂³	1	4	yes	—
334	C₂×#120	C₂³	1	4	yes	—
335	C₂×#120	C₂³	1	4	yes	—
336	C₂×#120	C₂³	1	4	yes	—
337	C₂×#120	C₂³	1	4	yes	—
338	C₂×#120	C₂³	1	4	yes	—
339	C₂×#120	C₂³	1	4	yes	—
340	C₂×#120	C₂³	1	4	yes	—
341	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
342	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
343	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
344	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
345	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₄×D₄	—	4	4	no	—
347	C₂×C₄×D₄	—	4	4	no	—
348	C₂×C₄×D₄	C₂³	1	4	yes	—
349	C₂×C₄×D₄	C₂³	1	4	yes	—
350	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
351	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
352	C₂×C₄×D₄	C₂³	1	2	yes	—
353	C₂×C₄×D₄	C₂³	1	4	yes	—
354	C₂×C₄×D₄	C₂³	1	4	yes	—
355	C₂×C₄×D₄	C₂³	1	2	yes	—
356	C₂×C₄×D₄	C₂³	1	4	yes	—
357	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
358	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
359	C₂×C₄×D₄	C₂³	1	2	yes	—
360	C₂×C₄×D₄	C₂³	1	2	yes	—
361	C₂×C₄×D₄	C₂³	1	2	yes	complemented
362	C₂×C₄×D₄	C₂³	1	2	yes	complemented
363	C₂×C₄×D₄	C₂³	1	4	yes	complemented
364	C₂×C₄×D₄	C₂³	1	4	yes	complemented
365	C₂×C₄×D₄	C₂³	1	4	yes	complemented
366	C₂×#117	C₂³	1	2	yes	—
367	C₂×#117	C₂³	1	2	yes	—
368	C₂×#117	C₂³	1	2	yes	—
369	C₂×#117	C₂³	1	2	yes	complemented
370	C₂×#117	C₂³	1	2	yes	complemented
371	C₂×#117	C₂³	1	2	yes	complemented
372	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
373	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	C₂²×C₂²⋊C₄	—	4	8	no	—
375	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
376	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
378	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
379	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
380	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
381	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
382	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
383	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
384	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
385	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
386	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
387	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
388	C₂²×C₄²	C₂³	1	1	yes	characteristic
389	C₂²×C₄²	C₂³	1	1	yes	characteristic
390	#400	C₂³	1	2	yes	complemented
391	#400	C₂³	1	2	yes	complemented
392	#400	C₂³	1	2	yes	complemented
393	#400	C₂³	1	2	yes	complemented
394	#399	C₂³	1	2	yes	—
395	#399	C₂³	1	2	yes	—
396	#399	C₂³	1	2	yes	—
397	#399	C₂³	1	2	yes	—
398	#399	C₂³	1	4	yes	complemented
399	#399	C₂³	1	4	yes	complemented
400	#399	C₂³	1	4	yes	complemented
401	#398	C₂³	1	2	yes	complemented
402	#398	C₂³	1	2	yes	complemented
403	#398	C₂³	1	2	yes	complemented
404	#398	C₂³	1	2	yes	complemented
405	#398	C₂³	1	2	yes	complemented
406	#398	C₂³	1	2	yes	complemented
407	#398	C₂³	1	2	yes	complemented
408	#398	C₂³	1	2	yes	complemented
409	#397	C₂³	1	4	yes	—
410	#397	C₂³	1	4	yes	—
411	#397	C₂³	1	4	yes	complemented
412	#397	C₂³	1	4	yes	complemented
413	#397	C₂³	1	4	yes	complemented
414	#397	C₂³	1	4	yes	complemented
415	#397	C₂³	1	4	yes	complemented
416	#397	C₂³	1	4	yes	complemented
417	#397	C₂³	1	4	yes	complemented
418	#397	C₂³	1	4	yes	complemented
419	#397	C₂³	1	4	yes	complemented
420	#397	C₂³	1	4	yes	complemented
421	#397	C₂³	1	4	yes	complemented
422	#397	C₂³	1	4	yes	complemented
423	#397	C₂³	1	4	yes	complemented
424	#397	C₂³	1	4	yes	complemented
425	#397	C₂³	1	4	yes	complemented
426	#396	C₂³	1	2	yes	—
427	#396	C₂³	1	2	yes	—
428	#396	C₂³	1	2	yes	—
429	#396	C₂³	1	2	yes	—
430	#396	C₂³	1	2	yes	—
431	#396	C₂³	1	2	yes	—
432	#396	C₂³	1	2	yes	—
433	#396	C₂³	1	2	yes	—
434	#396	C₂³	1	4	yes	complemented
435	#396	C₂³	1	4	yes	complemented
436	#396	C₂³	1	4	yes	complemented
437	#396	C₂³	1	4	yes	complemented
438	#396	C₂³	1	4	yes	complemented
439	#396	C₂³	1	4	yes	complemented
440	#395	C₂³	1	2	yes	complemented
441	#395	C₂³	1	2	yes	complemented
442	#395	C₂³	1	2	yes	complemented
443	#395	C₂³	1	2	yes	complemented
444	#394	C₂³	1	4	yes	—
445	#394	C₂³	1	4	yes	—
446	#394	C₂³	1	4	yes	—
447	#394	C₂³	1	4	yes	—
448	#394	C₂³	1	4	yes	—
449	#394	C₂³	1	4	yes	—
450	#394	C₂³	1	4	yes	—
451	#394	C₂³	1	4	yes	—
452	#394	C₂³	1	4	yes	—
453	#394	C₂³	1	4	yes	—
454	#394	C₂³	1	4	yes	—
455	#394	C₂³	1	4	yes	—
456	#394	C₂³	1	4	yes	complemented
457	#394	C₂³	1	4	yes	complemented
458	#394	C₂³	1	4	yes	complemented
459	#394	C₂³	1	4	yes	complemented
460	#394	C₂³	1	4	yes	complemented
461	#394	C₂³	1	4	yes	complemented
462	#394	C₂³	1	4	yes	complemented
463	#394	C₂³	1	4	yes	complemented
464	#394	C₂³	1	4	yes	complemented
465	#394	C₂³	1	4	yes	complemented
466	#394	C₂³	1	4	yes	complemented
467	#394	C₂³	1	4	yes	complemented
468	#394	C₂³	1	4	yes	complemented
469	#394	C₂³	1	4	yes	complemented
470	#394	C₂³	1	4	yes	complemented
471	#394	C₂³	1	4	yes	complemented
472	#394	C₂³	1	4	yes	complemented
473	#394	C₂³	1	4	yes	complemented
474	#393	C₂³	1	2	yes	—
475	#393	C₂³	1	2	yes	—
476	#393	C₂³	1	2	yes	—
477	#393	C₂³	1	2	yes	—
478	#393	C₂³	1	4	yes	complemented
479	#393	C₂³	1	4	yes	complemented
480	#393	C₂³	1	4	yes	complemented
481	#392	C₂³	1	4	yes	—
482	#392	C₂³	1	4	yes	—
483	#392	C₂³	1	4	yes	—
484	#392	C₂³	1	4	yes	—
485	#392	C₂³	1	4	yes	—
486	#392	C₂³	1	4	yes	—
487	#392	C₂³	1	4	yes	—
488	#392	C₂³	1	4	yes	—
489	#392	C₂³	1	4	yes	—
490	#392	C₂³	1	4	yes	—
491	#392	C₂³	1	4	yes	complemented
492	#392	C₂³	1	4	yes	complemented
493	#392	C₂³	1	4	yes	complemented
494	#391	C₂³	1	2	yes	complemented
495	#391	C₂³	1	2	yes	complemented
496	#391	C₂³	1	2	yes	complemented
497	#391	C₂³	1	2	yes	complemented
498	#391	C₂³	1	1	yes	characteristic, complemented
499	#391	C₂³	1	1	yes	characteristic, complemented
500	#391	C₂³	1	2	yes	complemented
501	#390	C₂³	1	2	yes	—
502	#390	C₂³	1	2	yes	—
503	#390	C₂³	1	2	yes	—
504	#390	C₂³	1	2	yes	—
505	#390	C₂³	1	4	yes	—
506	#390	C₂³	1	4	yes	—
507	#390	C₂³	1	2	yes	—
508	#390	C₂³	1	2	yes	—
509	#390	C₂³	1	4	yes	—
510	#390	C₂³	1	4	yes	—
511	#390	C₂³	1	2	yes	—
512	#390	C₂³	1	2	yes	—
513	#390	C₂³	1	4	yes	—
514	#390	C₂³	1	4	yes	—
515	#390	C₂³	1	4	yes	—
516	#390	C₂³	1	4	yes	—
517	#390	C₂³	1	2	yes	—
518	#390	C₂³	1	2	yes	—
519	#390	C₂³	1	2	yes	—
520	#390	C₂³	1	2	yes	—
521	#390	C₂³	1	2	yes	—
522	#390	C₂³	1	4	yes	—
523	#390	C₂³	1	2	yes	—
524	#390	C₂³	1	4	yes	complemented
525	#390	C₂³	1	4	yes	complemented
526	#390	C₂³	1	2	yes	complemented
527	#390	C₂³	1	2	yes	complemented
528	#390	C₂³	1	2	yes	complemented
529	#390	C₂³	1	2	yes	complemented
530	#390	C₂³	1	2	yes	complemented
531	#390	C₂³	1	2	yes	complemented
532	#390	C₂³	1	4	yes	complemented
533	#390	C₂³	1	4	yes	complemented
534	#390	C₂³	1	4	yes	complemented
535	#390	C₂³	1	4	yes	complemented
536	#389	C₂³	1	4	yes	complemented
537	#389	C₂³	1	4	yes	complemented
538	#389	C₂³	1	2	yes	complemented
539	#389	C₂³	1	2	yes	complemented
540	#389	C₂³	1	4	yes	complemented
541	#389	C₂³	1	4	yes	complemented
542	#389	C₂³	1	2	yes	complemented
543	#389	C₂³	1	2	yes	complemented
544	#389	C₂³	1	2	yes	complemented
545	#389	C₂³	1	2	yes	complemented
546	#389	C₂³	1	1	yes	characteristic, complemented
547	#389	C₂³	1	1	yes	characteristic, complemented
548	#389	C₂³	1	2	yes	complemented
549	#388	C₂³	1	4	yes	—
550	#388	C₂³	1	4	yes	—
551	#388	C₂³	1	4	yes	—
552	#388	C₂³	1	4	yes	—
553	#388	C₂³	1	4	yes	—
554	#388	C₂³	1	4	yes	—
555	#388	C₂³	1	4	yes	—
556	#388	C₂³	1	4	yes	—
557	#388	C₂³	1	4	yes	complemented
558	#388	C₂³	1	4	yes	complemented
559	#388	C₂³	1	4	yes	complemented
560	#388	C₂³	1	4	yes	complemented
561	#388	C₂³	1	4	yes	complemented
562	#388	C₂³	1	4	yes	complemented
563	#388	C₂³	1	4	yes	complemented
564	#388	C₂³	1	4	yes	complemented
565	#388	C₂³	1	4	yes	complemented
566	#388	C₂³	1	4	yes	complemented
567	#388	C₂³	1	4	yes	complemented
568	#388	C₂³	1	4	yes	complemented
569	#388	C₂³	1	4	yes	complemented
570	#388	C₂³	1	4	yes	complemented
571	#388	C₂³	1	4	yes	complemented
572	#388	C₂³	1	4	yes	complemented
573	#388	C₂³	1	4	yes	complemented
574	#388	C₂³	1	4	yes	complemented
575	#388	C₂³	1	4	yes	complemented
576	#388	C₂³	1	4	yes	complemented
577	#388	C₂³	1	4	yes	complemented
578	#388	C₂³	1	4	yes	complemented
579	#388	C₂³	1	4	yes	complemented
580	#388	C₂³	1	4	yes	complemented
581	#388	C₂³	1	4	yes	complemented
582	#388	C₂³	1	4	yes	complemented
583	#388	C₂³	1	4	yes	complemented
584	#388	C₂³	1	4	yes	complemented
585	#388	C₂³	1	4	yes	complemented
586	#388	C₂³	1	4	yes	complemented
587	#388	C₂³	1	4	yes	complemented
588	#388	C₂³	1	4	yes	complemented
589	#387	C₂³	1	4	yes	complemented
590	#387	C₂³	1	4	yes	complemented
591	#387	C₂³	1	4	yes	complemented
592	#387	C₂³	1	4	yes	complemented
593	#387	C₂³	1	4	yes	complemented
594	#387	C₂³	1	4	yes	complemented
595	#387	C₂³	1	2	yes	complemented
596	#387	C₂³	1	2	yes	complemented
597	#387	C₂³	1	2	yes	complemented
598	#387	C₂³	1	2	yes	complemented
599	#386	C₂³	1	4	yes	—
600	#386	C₂³	1	4	yes	—
601	#386	C₂³	1	4	yes	—
602	#386	C₂³	1	4	yes	—
603	#386	C₂³	1	4	yes	—
604	#386	C₂³	1	4	yes	—
605	#386	C₂³	1	4	yes	—
606	#386	C₂³	1	4	yes	—
607	#386	C₂³	1	4	yes	—
608	#386	C₂³	1	4	yes	—
609	#386	C₂³	1	4	yes	—
610	#386	C₂³	1	4	yes	—
611	#386	C₂³	1	4	yes	—
612	#386	C₂³	1	4	yes	—
613	#386	C₂³	1	4	yes	—
614	#386	C₂³	1	4	yes	—
615	#386	C₂³	1	4	yes	complemented
616	#386	C₂³	1	4	yes	complemented
617	#386	C₂³	1	4	yes	complemented
618	#386	C₂³	1	4	yes	complemented
619	#386	C₂³	1	4	yes	complemented
620	#386	C₂³	1	4	yes	complemented
621	#386	C₂³	1	4	yes	complemented
622	#386	C₂³	1	4	yes	complemented
623	#386	C₂³	1	4	yes	complemented
624	#386	C₂³	1	4	yes	complemented
625	#386	C₂³	1	4	yes	complemented
626	#386	C₂³	1	4	yes	complemented
627	#386	C₂³	1	4	yes	complemented
628	#386	C₂³	1	4	yes	complemented
629	#385	C₂³	1	4	yes	—
630	#385	C₂³	1	4	yes	—
631	#385	C₂³	1	2	yes	—
632	#385	C₂³	1	2	yes	—
633	#385	C₂³	1	2	yes	—
634	#385	C₂³	1	2	yes	—
635	#385	C₂³	1	4	yes	complemented
636	#385	C₂³	1	4	yes	complemented
637	#385	C₂³	1	4	yes	complemented
638	#385	C₂³	1	4	yes	complemented
639	#385	C₂³	1	4	yes	complemented
640	#385	C₂³	1	4	yes	complemented
641	#385	C₂³	1	4	yes	complemented
642	#385	C₂³	1	4	yes	complemented
643	#385	C₂³	1	4	yes	complemented
644	#385	C₂³	1	4	yes	complemented
645	#385	C₂³	1	4	yes	complemented
646	#385	C₂³	1	4	yes	complemented
647	#384	C₂³	1	1	yes	characteristic, complemented
648	#384	C₂³	1	1	yes	characteristic, complemented
649	#383	C₂³	1	4	yes	complemented
650	#382	C₂³	1	4	yes	complemented
651	#382	C₂³	1	2	yes	complemented
652	#381	C₂³	1	2	yes	—
653	#381	C₂³	1	2	yes	—
654	#381	C₂³	1	4	yes	complemented
655	#381	C₂³	1	4	yes	complemented
656	#381	C₂³	1	4	yes	complemented
657	#381	C₂³	1	4	yes	complemented
658	#380	C₂³	1	1	yes	characteristic
659	#380	C₂³	1	2	yes	—
660	#380	C₂³	1	4	yes	—
661	#380	C₂³	1	2	yes	—
662	#380	C₂³	1	2	yes	—
663	#380	C₂³	1	2	yes	—
664	#380	C₂³	1	2	yes	—
665	#380	C₂³	1	2	yes	—
666	#380	C₂³	1	1	yes	characteristic
667	#380	C₂³	1	2	yes	—
668	#380	C₂³	1	2	yes	—
669	#380	C₂³	1	2	yes	—
670	#380	C₂³	1	4	yes	complemented
671	#380	C₂³	1	2	yes	complemented
672	#380	C₂³	1	2	yes	complemented
673	#380	C₂³	1	2	yes	complemented
674	#380	C₂³	1	2	yes	complemented
675	#380	C₂³	1	2	yes	complemented
676	#380	C₂³	1	2	yes	complemented
677	#379	C₂³	1	4	yes	—
678	#379	C₂³	1	4	yes	—
679	#379	C₂³	1	4	yes	—
680	#379	C₂³	1	4	yes	—
681	#379	C₂³	1	4	yes	—
682	#379	C₂³	1	4	yes	—
683	#379	C₂³	1	2	yes	—
684	#379	C₂³	1	2	yes	—
685	#379	C₂³	1	4	yes	—
686	#379	C₂³	1	4	yes	—
687	#379	C₂³	1	4	yes	—
688	#379	C₂³	1	4	yes	—
689	#379	C₂³	1	4	yes	—
690	#379	C₂³	1	4	yes	—
691	#379	C₂³	1	4	yes	—
692	#379	C₂³	1	4	yes	—
693	#379	C₂³	1	4	yes	—
694	#379	C₂³	1	4	yes	—
695	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
696	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
697	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
698	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
699	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
700	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
701	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
702	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
703	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
704	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
705	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
706	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
707	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
708	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
709	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
710	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
711	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
712	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
713	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
714	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
715	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
716	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
717	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
718	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
719	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
720	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
721	#376	C₂³	1	4	yes	complemented
722	C₂×#95	C₂³	1	1	yes	characteristic
723	C₂×#95	C₂³	1	1	yes	characteristic
724	C₂×#95	C₂³	1	2	yes	—
725	C₂×#95	C₂³	1	4	yes	complemented
726	C₂⁵	—	2	8	no	—
727	C₂⁵	—	4	4	no	—
728	C₂⁵	—	4	4	no	—
729	C₂⁵	—	4	4	no	—
730	C₂⁵	—	4	4	no	—
731	C₂⁵	—	8	2	no	—
732	C₂⁵	—	8	2	no	—
733	C₂⁵	C₂⁴	1	2	yes	—
734	C₂⁵	C₂⁴	1	2	yes	—
735	C₂⁵	C₂⁴	1	4	yes	—
736	C₂⁵	C₂⁴	1	4	yes	—
737	C₂⁵	C₂⁴	1	1	yes	characteristic
738	C₂×#41	—	2	8	no	—
739	C₂×#41	—	4	4	no	—
740	C₂×#41	—	4	4	no	—
741	C₂×#41	—	4	4	no	—
742	C₂×#41	—	4	4	no	—
743	C₂×#41	—	8	2	no	—
744	C₂²×Q₈	C₂⁴	1	2	yes	—
745	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
746	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
747	C₂²×Q₈	C₂⁴	1	2	yes	—
748	C₂²×D₄	—	2	4	no	—
749	C₂²×D₄	—	2	4	no	—
750	C₂²×D₄	—	2	8	no	—
751	C₂²×D₄	—	2	8	no	—
752	C₂²×D₄	—	2	4	no	—
753	C₂²×D₄	—	2	8	no	—
754	C₂²×D₄	—	2	8	no	—
755	C₂²×D₄	—	2	4	no	—
756	C₂²×D₄	—	2	8	no	—
757	C₂²×D₄	—	2	16	no	—
758	C₂²×D₄	—	4	2	no	—
759	C₂²×D₄	—	4	2	no	—
760	C₂²×D₄	—	4	4	no	—
761	C₂²×D₄	—	4	4	no	—
762	C₂²×D₄	—	4	8	no	—
763	C₂²×D₄	—	4	8	no	—
764	C₂²×D₄	—	4	4	no	—
765	C₂²×D₄	—	4	4	no	—
766	C₂²×D₄	—	4	64	no	—
767	C₂²×D₄	C₂⁴	1	2	yes	—
768	C₂²×D₄	C₂⁴	1	4	yes	—
769	C₂²×D₄	C₂⁴	1	2	yes	—
770	C₂²×D₄	C₂⁴	1	2	yes	—
771	C₂²×D₄	C₂⁴	1	4	yes	—
772	C₂²×D₄	C₂⁴	1	4	yes	—
773	C₂²×D₄	C₂⁴	1	1	yes	characteristic
774	C₂²×D₄	C₂⁴	1	1	yes	characteristic
775	C₂²×D₄	C₂⁴	1	4	yes	—
776	C₂²×D₄	C₂⁴	1	4	yes	—
777	C₂²×D₄	C₂⁴	1	4	yes	—
778	C₂²×D₄	C₂⁴	1	4	yes	—
779	C₂²×D₄	C₂⁴	1	4	yes	—
780	C₂²×D₄	C₂⁴	1	4	yes	—
781	C₂²×D₄	C₂⁴	1	2	yes	—
782	C₂²×D₄	C₂⁴	1	2	yes	—
783	C₂²×D₄	C₂⁴	1	4	yes	—
784	C₂²×D₄	C₂⁴	1	4	yes	—
785	C₂²×D₄	C₂⁴	1	4	yes	—
786	C₂²×D₄	C₂⁴	1	4	yes	—
787	C₂²×D₄	C₂⁴	1	2	yes	—
788	C₂³×C₄	—	2	8	no	—
789	C₂³×C₄	—	4	2	no	—
790	C₂³×C₄	—	4	2	no	—
791	C₂³×C₄	—	4	4	no	—
792	C₂³×C₄	—	4	4	no	—
793	C₂³×C₄	—	4	4	no	—
794	C₂³×C₄	—	8	2	no	—
795	C₂³×C₄	—	8	2	no	—
796	C₂³×C₄	#41	1	8	yes	complemented
797	C₂³×C₄	C₂⁴	1	2	yes	—
798	C₂³×C₄	C₂⁴	1	2	yes	—
799	C₂³×C₄	C₂⁴	1	1	yes	characteristic
800	C₂³×C₄	C₂⁴	1	2	yes	—
801	C₂³×C₄	C₂⁴	1	1	yes	characteristic
802	C₂³×C₄	C₂⁴	1	1	yes	characteristic
803	C₂³×C₄	C₂⁴	1	2	yes	—
804	C₂³×C₄	C₂⁴	1	2	yes	—
805	C₂³×C₄	C₂⁴	1	1	yes	characteristic
806	C₂³×C₄	C₂⁴	1	2	yes	—
807	C₂³×C₄	C₂⁴	1	4	yes	—
808	C₂³×C₄	C₂⁴	1	2	yes	—
809	C₂³×C₄	C₂⁴	1	4	yes	—
810	C₂³×C₄	C₂⁴	1	4	yes	—
811	C₂³×C₄	C₂⁴	1	4	yes	—
812	C₂³×C₄	C₂⁴	1	4	yes	—
813	C₂³×C₄	C₂⁴	1	1	yes	characteristic
814	C₂³×C₄	C₂⁴	1	2	yes	—
815	C₂³×C₄	C₂⁴	1	1	yes	characteristic
816	C₄⋊Q₈	—	4	2	no	—
817	#127	—	2	8	no	—
818	#127	—	2	8	no	—
819	#127	—	4	4	no	—
820	#127	—	4	4	no	—
821	#127	—	4	2	no	—
822	#126	—	4	8	no	—
823	#126	—	4	8	no	—
824	#126	—	8	4	no	—
825	#124	—	2	8	no	—
826	#124	—	2	8	no	—
827	#124	—	4	4	no	—
828	#124	—	4	4	no	—
829	#124	—	4	4	no	—
830	#124	—	4	8	no	—
831	#124	—	4	8	no	—
832	#124	—	8	4	no	—
833	#123	—	2	16	no	—
834	#123	—	4	8	no	—
835	#123	—	4	8	no	—
836	#123	—	4	8	no	—
837	#123	—	4	8	no	—
838	#123	—	8	4	no	—
839	#123	—	8	4	no	—
840	C₂²⋊Q₈	—	2	8	no	—
841	C₂²⋊Q₈	—	2	8	no	—
842	C₂²⋊Q₈	—	2	4	no	—
843	C₂²⋊Q₈	—	2	4	no	—
844	C₂²⋊Q₈	—	4	4	no	—
845	C₂²⋊Q₈	—	4	4	no	—
846	C₂²⋊Q₈	—	4	4	no	—
847	C₂²⋊Q₈	—	8	2	no	—
848	#121	—	2	8	no	—
849	#121	—	2	8	no	—
850	#121	—	2	8	no	—
851	#121	—	4	8	no	—
852	#121	—	4	8	no	—
853	#121	—	4	8	no	—
854	#121	—	4	8	no	—
855	#121	—	4	8	no	—
856	#121	—	4	8	no	—
857	#121	—	4	4	no	—
858	#121	—	4	4	no	—
859	#121	—	4	4	no	—
860	#121	—	8	4	no	—
861	#121	—	8	2	no	—
862	#120	—	2	16	no	—
863	#120	—	4	8	no	—
864	#120	—	4	8	no	—
865	#120	—	4	8	no	—
866	#120	—	4	8	no	—
867	#120	—	4	8	no	—
868	#120	—	4	8	no	—
869	#120	—	4	8	no	—
870	#120	—	4	8	no	—
871	#120	—	8	4	no	—
872	#120	—	8	4	no	—
873	#120	—	8	4	no	—
874	#120	—	8	4	no	—
875	C₄×Q₈	—	4	2	no	—
876	C₄×Q₈	—	4	2	no	—
877	C₄×Q₈	—	4	4	no	—
878	C₄×Q₈	—	4	4	no	—
879	C₄×Q₈	—	4	4	no	—
880	C₄×D₄	—	2	4	no	—
881	C₄×D₄	—	2	4	no	—
882	C₄×D₄	—	2	8	no	—
883	C₄×D₄	—	2	16	no	—
884	C₄×D₄	—	2	16	no	—
885	C₄×D₄	—	4	4	no	—
886	C₄×D₄	—	4	2	no	—
887	C₄×D₄	—	4	2	no	—
888	C₄×D₄	—	4	4	no	—
889	C₄×D₄	—	4	4	no	—
890	C₄×D₄	—	4	8	no	—
891	C₄×D₄	—	4	4	no	—
892	C₄×D₄	—	4	8	no	—
893	C₄×D₄	—	4	4	no	—
894	C₄×D₄	—	4	8	no	—
895	C₄×D₄	—	4	8	no	—
896	C₄×D₄	—	4	8	no	—
897	C₄×D₄	—	8	4	no	—
898	#117	—	2	8	no	—
899	#117	—	4	4	no	—
900	#117	—	4	4	no	—
901	#117	—	4	4	no	—
902	#117	—	4	4	no	—
903	#117	—	8	2	no	—
904	C₂×C₄⋊C₄	—	4	2	no	—
905	C₂×C₄⋊C₄	—	4	2	no	—
906	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
908	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
910	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
911	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
913	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
914	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
915	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
916	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
917	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
920	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
923	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
935	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
937	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
944	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
947	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
948	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
949	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
950	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
951	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
952	C₂×C₂²⋊C₄	—	2	4	no	—
953	C₂×C₂²⋊C₄	—	2	8	no	—
954	C₂×C₂²⋊C₄	—	4	8	no	—
955	C₂×C₂²⋊C₄	—	4	8	no	—
956	C₂×C₂²⋊C₄	—	4	8	no	—
957	C₂×C₂²⋊C₄	—	4	8	no	—
958	C₂×C₂²⋊C₄	—	4	4	no	—
959	C₂×C₂²⋊C₄	—	4	4	no	—
960	C₂×C₂²⋊C₄	—	4	4	no	—
961	C₂×C₂²⋊C₄	—	4	4	no	—
962	C₂×C₂²⋊C₄	—	4	2	no	—
963	C₂×C₂²⋊C₄	—	8	2	no	—
964	C₂×C₂²⋊C₄	—	8	2	no	—
965	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
966	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
968	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
971	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
972	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
973	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
974	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
977	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
982	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
983	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
985	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
986	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
987	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
988	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
989	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
991	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1006	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×C₄²	—	4	2	no	—
1039	C₂×C₄²	—	4	2	no	—
1040	C₂×C₄²	C₂⁴	1	4	yes	—
1041	C₂×C₄²	C₂⁴	1	2	yes	—
1042	C₂×C₄²	C₂⁴	1	2	yes	—
1043	C₂×C₄²	C₂⁴	1	2	yes	—
1044	C₂×C₄²	C₂⁴	1	2	yes	—
1045	C₂×C₄²	C₂⁴	1	2	yes	—
1046	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1047	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1048	C₂×C₄²	C₂⁴	1	4	yes	—
1049	C₂×C₄²	C₂⁴	1	4	yes	—
1050	C₂×C₄²	C₂⁴	1	4	yes	—
1051	C₂×C₄²	C₂⁴	1	2	yes	—
1052	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1053	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1054	C₂×C₄²	C₂⁴	1	4	yes	—
1055	C₂×C₄²	C₂⁴	1	4	yes	—
1056	C₂×C₄²	C₂⁴	1	4	yes	—
1057	#95	C₂⁴	1	4	yes	—
1058	#95	C₂⁴	1	4	yes	—
1059	#95	C₂⁴	1	2	yes	—
1060	#95	C₂⁴	1	2	yes	—
1061	#95	C₂⁴	1	2	yes	—
1062	#95	C₂⁴	1	2	yes	—
1063	#95	C₂⁴	1	2	yes	—
1064	#95	C₂⁴	1	4	yes	—
1065	#95	C₂⁴	1	4	yes	—
1066	#95	C₂⁴	1	2	yes	—
1067	#95	C₂⁴	1	4	yes	—
1068	#95	C₂⁴	1	4	yes	—
1069	#95	C₂⁴	1	2	yes	—
1070	#95	C₂⁴	1	2	yes	—
1071	#95	C₂⁴	1	2	yes	—
1072	#95	C₂⁴	1	2	yes	—
1073	#95	C₂⁴	1	2	yes	—
1074	#95	C₂⁴	1	2	yes	—
1075	#95	C₂⁴	1	4	yes	—
1076	#95	C₂⁴	1	4	yes	—
1077	#95	C₂⁴	1	4	yes	—
1078	#95	C₂⁴	1	4	yes	—
1079	#95	C₂⁴	1	2	yes	—
1080	#95	C₂⁴	1	2	yes	—
1081	#95	C₂⁴	1	2	yes	—
1082	#95	C₂⁴	1	4	yes	—
1083	#95	C₂⁴	1	4	yes	—
1084	#95	C₂⁴	1	4	yes	—
1085	#95	C₂⁴	1	2	yes	—
1086	#95	C₂⁴	1	2	yes	—
1087	#95	C₂⁴	1	2	yes	—
1088	#95	C₂⁴	1	4	yes	—
1089	#95	C₂⁴	1	4	yes	—
1090	#95	C₂⁴	1	2	yes	—
1091	#95	C₂⁴	1	2	yes	—
1092	#95	C₂⁴	1	4	yes	—
1093	#95	C₂⁴	1	4	yes	—
1094	#95	C₂⁴	1	2	yes	—
1095	#95	C₂⁴	1	2	yes	—
1096	#95	C₂⁴	1	2	yes	—
1097	#95	C₂⁴	1	2	yes	—
1098	#95	C₂⁴	1	4	yes	—
1099	#95	C₂⁴	1	4	yes	—
1100	#95	C₂⁴	1	4	yes	—
1101	C₂⁴	—	2	4	no	—
1102	C₂⁴	—	2	2	no	—
1103	C₂⁴	—	2	4	no	—
1104	C₂⁴	—	2	4	no	—
1105	C₂⁴	—	2	2	no	—
1106	C₂⁴	—	2	4	no	—
1107	C₂⁴	—	2	4	no	—
1108	C₂⁴	—	2	4	no	—
1109	C₂⁴	—	2	8	no	—
1110	C₂⁴	—	2	8	no	—
1111	C₂⁴	—	2	4	no	—
1112	C₂⁴	—	2	8	no	—
1113	C₂⁴	—	2	8	no	—
1114	C₂⁴	—	2	4	no	—
1115	C₂⁴	—	4	1	no	—
1116	C₂⁴	—	4	1	no	—
1117	C₂⁴	—	4	2	no	—
1118	C₂⁴	—	4	2	no	—
1119	C₂⁴	—	4	1	no	—
1120	C₂⁴	—	4	1	no	—
1121	C₂⁴	—	4	4	no	—
1122	C₂⁴	—	4	4	no	—
1123	C₂⁴	—	4	2	no	—
1124	C₂⁴	—	4	2	no	—
1125	C₂⁴	—	4	2	no	—
1126	C₂⁴	—	4	2	no	—
1127	C₂⁴	—	4	4	no	—
1128	C₂⁴	—	4	4	no	—
1129	C₂⁴	—	4	4	no	—
1130	C₂⁴	—	4	4	no	—
1131	C₂⁴	—	4	4	no	—
1132	C₂⁴	—	4	4	no	—
1133	C₂⁴	—	4	4	no	—
1134	C₂⁴	—	4	4	no	—
1135	C₂⁴	—	4	32	no	—
1136	C₂⁴	—	4	32	no	—
1137	C₂⁴	—	8	16	no	—
1138	C₂⁴	—	8	16	no	—
1139	C₂⁴	—	8	16	no	—
1140	C₂⁴	—	8	16	no	—
1141	C₂⁴	—	8	16	no	—
1142	C₂⁴	C₂×#41	1	4	yes	—
1143	C₂⁴	C₂⁵	1	4	yes	—
1144	C₂⁴	C₂⁵	1	4	yes	—
1145	C₂⁴	C₂⁵	1	2	yes	—
1146	C₂⁴	C₂⁵	1	2	yes	—
1147	C₂⁴	C₂⁵	1	2	yes	—
1148	C₂⁴	C₂⁵	1	1	yes	characteristic
1149	#41	—	8	16	no	—
1150	#41	—	8	16	no	—
1151	C₂×Q₈	—	2	4	no	—
1152	C₂×Q₈	—	2	4	no	—
1153	C₂×Q₈	—	2	4	no	—
1154	C₂×Q₈	—	2	2	no	—
1155	C₂×Q₈	—	2	2	no	—
1156	C₂×Q₈	—	4	1	no	—
1157	C₂×Q₈	—	4	1	no	—
1158	C₂×Q₈	—	4	1	no	—
1159	C₂×Q₈	—	4	2	no	—
1160	C₂×Q₈	—	4	2	no	—
1161	C₂×Q₈	—	4	1	no	—
1162	C₂×Q₈	—	4	2	no	—
1163	C₂×D₄	—	2	32	no	—
1164	C₂×D₄	—	2	4	no	—
1165	C₂×D₄	—	2	4	no	—
1166	C₂×D₄	—	2	8	no	—
1167	C₂×D₄	—	2	8	no	—
1168	C₂×D₄	—	2	8	no	—
1169	C₂×D₄	—	2	8	no	—
1170	C₂×D₄	—	2	8	no	—
1171	C₂×D₄	—	2	8	no	—
1172	C₂×D₄	—	2	8	no	—
1173	C₂×D₄	—	2	8	no	—
1174	C₂×D₄	—	2	8	no	—
1175	C₂×D₄	—	2	8	no	—
1176	C₂×D₄	—	2	8	no	—
1177	C₂×D₄	—	2	4	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	2	4	no	—
1181	C₂×D₄	—	2	8	no	—
1182	C₂×D₄	—	2	8	no	—
1183	C₂×D₄	—	2	4	no	—
1184	C₂×D₄	—	2	4	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	4	no	—
1188	C₂×D₄	—	2	4	no	—
1189	C₂×D₄	—	2	4	no	—
1190	C₂×D₄	—	2	4	no	—
1191	C₂×D₄	—	2	4	no	—
1192	C₂×D₄	—	4	32	no	—
1193	C₂×D₄	—	4	32	no	—
1194	C₂×D₄	—	4	2	no	—
1195	C₂×D₄	—	4	2	no	—
1196	C₂×D₄	—	4	4	no	—
1197	C₂×D₄	—	4	4	no	—
1198	C₂×D₄	—	4	16	no	—
1199	C₂×D₄	—	4	4	no	—
1200	C₂×D₄	—	4	4	no	—
1201	C₂×D₄	—	4	4	no	—
1202	C₂×D₄	—	4	4	no	—
1203	C₂×D₄	—	4	4	no	—
1204	C₂×D₄	—	4	4	no	—
1205	C₂×D₄	—	4	4	no	—
1206	C₂×D₄	—	4	4	no	—
1207	C₂×D₄	—	4	4	no	—
1208	C₂×D₄	—	4	4	no	—
1209	C₂×D₄	—	4	4	no	—
1210	C₂×D₄	—	4	4	no	—
1211	C₂×D₄	—	4	2	no	—
1212	C₂×D₄	—	4	2	no	—
1213	C₂×D₄	—	4	4	no	—
1214	C₂×D₄	—	4	4	no	—
1215	C₂×D₄	—	4	4	no	—
1216	C₂×D₄	—	4	4	no	—
1217	C₂×D₄	—	4	4	no	—
1218	C₂×D₄	—	4	4	no	—
1219	C₂×D₄	—	4	4	no	—
1220	C₂×D₄	—	4	4	no	—
1221	C₂×D₄	—	4	4	no	—
1222	C₂×D₄	—	4	4	no	—
1223	C₂×D₄	—	4	4	no	—
1224	C₂×D₄	—	4	4	no	—
1225	C₂×D₄	—	4	2	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	4	2	no	—
1228	C₂×D₄	—	4	64	no	—
1229	C₂×D₄	—	4	32	no	—
1230	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1231	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1232	C₂²×C₄	—	2	2	no	—
1233	C₂²×C₄	—	2	2	no	—
1234	C₂²×C₄	—	2	4	no	—
1235	C₂²×C₄	—	2	4	no	—
1236	C₂²×C₄	—	2	2	no	—
1237	C₂²×C₄	—	2	4	no	—
1238	C₂²×C₄	—	2	4	no	—
1239	C₂²×C₄	—	2	4	no	—
1240	C₂²×C₄	—	2	4	no	—
1241	C₂²×C₄	—	2	8	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	2	2	no	—
1244	C₂²×C₄	—	2	4	no	—
1245	C₂²×C₄	—	2	4	no	—
1246	C₂²×C₄	—	2	8	no	—
1247	C₂²×C₄	—	2	4	no	—
1248	C₂²×C₄	—	2	4	no	—
1249	C₂²×C₄	—	4	16	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	4	2	no	—
1253	C₂²×C₄	—	4	2	no	—
1254	C₂²×C₄	—	4	2	no	—
1255	C₂²×C₄	—	4	1	no	—
1256	C₂²×C₄	—	4	1	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	4	1	no	—
1259	C₂²×C₄	—	4	2	no	—
1260	C₂²×C₄	—	4	1	no	—
1261	C₂²×C₄	—	4	1	no	—
1262	C₂²×C₄	—	4	4	no	—
1263	C₂²×C₄	—	4	4	no	—
1264	C₂²×C₄	—	4	2	no	—
1265	C₂²×C₄	—	4	2	no	—
1266	C₂²×C₄	—	4	1	no	—
1267	C₂²×C₄	—	4	1	no	—
1268	C₂²×C₄	—	4	2	no	—
1269	C₂²×C₄	—	4	2	no	—
1270	C₂²×C₄	—	4	2	no	—
1271	C₂²×C₄	—	4	2	no	—
1272	C₂²×C₄	—	4	4	no	—
1273	C₂²×C₄	—	4	4	no	—
1274	C₂²×C₄	—	4	4	no	—
1275	C₂²×C₄	—	4	4	no	—
1276	C₂²×C₄	—	4	4	no	—
1277	C₂²×C₄	—	4	4	no	—
1278	C₂²×C₄	—	4	2	no	—
1279	C₂²×C₄	—	4	2	no	—
1280	C₂²×C₄	—	4	4	no	—
1281	C₂²×C₄	—	4	4	no	—
1282	C₂²×C₄	—	4	4	no	—
1283	C₂²×C₄	—	4	4	no	—
1284	C₂²×C₄	—	4	4	no	—
1285	C₂²×C₄	—	8	16	no	—
1286	C₂²×C₄	—	8	16	no	—
1287	C₂²×C₄	C₂×#41	1	8	yes	—
1288	C₂²×C₄	C₂×#41	1	4	yes	—
1289	C₂²×C₄	C₂×#41	1	4	yes	—
1290	C₂²×C₄	C₂×#41	1	8	yes	—
1291	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1292	C₂²×C₄	C₂⁵	1	2	yes	—
1293	C₂²×C₄	C₂⁵	1	2	yes	—
1294	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1295	C₂²×C₄	C₂⁵	1	2	yes	—
1296	C₂²×C₄	C₂⁵	1	2	yes	—
1297	C₂²×C₄	C₂⁵	1	2	yes	—
1298	C₂²×C₄	C₂⁵	1	4	yes	—
1299	C₂²×C₄	C₂⁵	1	4	yes	—
1300	C₂²×C₄	C₂⁵	1	2	yes	—
1301	C₂²×C₄	C₂⁵	1	2	yes	—
1302	C₂²×C₄	C₂⁵	1	4	yes	—
1303	C₂²×C₄	C₂⁵	1	2	yes	—
1304	C₂²×C₄	C₂⁵	1	4	yes	—
1305	C₂²×C₄	C₂⁵	1	2	yes	—
1306	C₂²×C₄	C₂⁵	1	2	yes	—
1307	C₂²×C₄	C₂⁵	1	2	yes	—
1308	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1309	C₂²×C₄	C₂⁵	1	2	yes	—
1310	C₂²×C₄	C₂⁵	1	2	yes	—
1311	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1314	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1315	C₄⋊C₄	—	2	4	no	—
1316	C₄⋊C₄	—	2	4	no	—
1317	C₄⋊C₄	—	2	8	no	—
1318	C₄⋊C₄	—	2	8	no	—
1319	C₄⋊C₄	—	2	2	no	—
1320	C₄⋊C₄	—	2	4	no	—
1321	C₄⋊C₄	—	2	2	no	—
1322	C₄⋊C₄	—	2	2	no	—
1323	C₄⋊C₄	—	2	4	no	—
1324	C₄⋊C₄	—	2	4	no	—
1325	C₄⋊C₄	—	2	4	no	—
1326	C₄⋊C₄	—	2	2	no	—
1327	C₄⋊C₄	—	4	2	no	—
1328	C₄⋊C₄	—	4	2	no	—
1329	C₄⋊C₄	—	4	1	no	—
1330	C₄⋊C₄	—	4	2	no	—
1331	C₄⋊C₄	—	4	2	no	—
1332	C₄⋊C₄	—	4	2	no	—
1333	C₄⋊C₄	—	4	2	no	—
1334	C₄⋊C₄	—	4	2	no	—
1335	C₄⋊C₄	—	4	1	no	—
1336	C₄⋊C₄	—	4	2	no	—
1337	C₄⋊C₄	—	4	2	no	—
1338	C₄⋊C₄	—	4	4	no	—
1339	C₄⋊C₄	—	4	4	no	—
1340	C₄⋊C₄	—	4	2	no	—
1341	C₄⋊C₄	—	4	1	no	—
1342	C₄⋊C₄	—	4	2	no	—
1343	C₄⋊C₄	—	4	4	no	—
1344	C₄⋊C₄	—	4	2	no	—
1345	C₄⋊C₄	—	4	2	no	—
1346	C₄⋊C₄	—	4	4	no	—
1347	C₄⋊C₄	—	4	2	no	—
1348	C₄⋊C₄	—	4	2	no	—
1349	C₄⋊C₄	—	4	1	no	—
1350	C₄⋊C₄	—	4	2	no	—
1351	C₄⋊C₄	—	4	2	no	—
1352	C₄⋊C₄	—	4	2	no	—
1353	C₄⋊C₄	—	4	2	no	—
1354	C₄⋊C₄	—	4	4	no	—
1355	C₄⋊C₄	—	4	2	no	—
1356	C₄⋊C₄	—	4	2	no	—
1357	C₄⋊C₄	—	4	4	no	—
1358	C₄⋊C₄	—	4	2	no	—
1359	C₄⋊C₄	—	4	2	no	—
1360	C₄⋊C₄	—	4	2	no	—
1361	C₂²⋊C₄	—	2	8	no	—
1362	C₂²⋊C₄	—	2	8	no	—
1363	C₂²⋊C₄	—	2	8	no	—
1364	C₂²⋊C₄	—	2	4	no	—
1365	C₂²⋊C₄	—	2	8	no	—
1366	C₂²⋊C₄	—	2	4	no	—
1367	C₂²⋊C₄	—	2	8	no	—
1368	C₂²⋊C₄	—	2	4	no	—
1369	C₂²⋊C₄	—	2	4	no	—
1370	C₂²⋊C₄	—	2	8	no	—
1371	C₂²⋊C₄	—	2	8	no	—
1372	C₂²⋊C₄	—	2	8	no	—
1373	C₂²⋊C₄	—	2	4	no	—
1374	C₂²⋊C₄	—	2	4	no	—
1375	C₂²⋊C₄	—	2	8	no	—
1376	C₂²⋊C₄	—	2	8	no	—
1377	C₂²⋊C₄	—	2	4	no	—
1378	C₂²⋊C₄	—	2	4	no	—
1379	C₂²⋊C₄	—	2	8	no	—
1380	C₂²⋊C₄	—	2	8	no	—
1381	C₂²⋊C₄	—	2	8	no	—
1382	C₂²⋊C₄	—	4	4	no	—
1383	C₂²⋊C₄	—	4	4	no	—
1384	C₂²⋊C₄	—	4	4	no	—
1385	C₂²⋊C₄	—	4	4	no	—
1386	C₂²⋊C₄	—	4	2	no	—
1387	C₂²⋊C₄	—	4	2	no	—
1388	C₂²⋊C₄	—	4	4	no	—
1389	C₂²⋊C₄	—	4	2	no	—
1390	C₂²⋊C₄	—	4	2	no	—
1391	C₂²⋊C₄	—	4	4	no	—
1392	C₂²⋊C₄	—	4	4	no	—
1393	C₂²⋊C₄	—	4	4	no	—
1394	C₂²⋊C₄	—	4	4	no	—
1395	C₂²⋊C₄	—	4	2	no	—
1396	C₂²⋊C₄	—	4	2	no	—
1397	C₂²⋊C₄	—	4	2	no	—
1398	C₂²⋊C₄	—	4	2	no	—
1399	C₂²⋊C₄	—	4	4	no	—
1400	C₂²⋊C₄	—	4	4	no	—
1401	C₂²⋊C₄	—	4	4	no	—
1402	C₂²⋊C₄	—	4	4	no	—
1403	C₂²⋊C₄	—	4	4	no	—
1404	C₂²⋊C₄	—	4	4	no	—
1405	C₂²⋊C₄	—	4	4	no	—
1406	C₂²⋊C₄	—	4	4	no	—
1407	C₂²⋊C₄	—	4	4	no	—
1408	C₂²⋊C₄	—	4	4	no	—
1409	C₂²⋊C₄	—	4	4	no	—
1410	C₂²⋊C₄	—	4	4	no	—
1411	C₂²⋊C₄	—	4	4	no	—
1412	C₂²⋊C₄	—	4	4	no	—
1413	C₂²⋊C₄	—	4	4	no	—
1414	C₂²⋊C₄	—	4	4	no	—
1415	C₂²⋊C₄	—	4	4	no	—
1416	C₂²⋊C₄	—	4	4	no	—
1417	C₂²⋊C₄	—	4	4	no	—
1418	C₂²⋊C₄	—	4	4	no	—
1419	C₂²⋊C₄	—	4	2	no	—
1420	C₂²⋊C₄	—	4	2	no	—
1421	C₂²⋊C₄	—	4	2	no	—
1422	C₂²⋊C₄	—	4	2	no	—
1423	C₂²⋊C₄	—	4	4	no	—
1424	C₂²⋊C₄	—	4	4	no	—
1425	C₂²⋊C₄	—	4	4	no	—
1426	C₂²⋊C₄	—	4	4	no	—
1427	C₂²⋊C₄	—	4	4	no	—
1428	C₂²⋊C₄	—	4	4	no	—
1429	C₂²⋊C₄	—	4	4	no	—
1430	C₂²⋊C₄	—	4	4	no	—
1431	C₂²⋊C₄	—	4	4	no	—
1432	C₂²⋊C₄	—	4	4	no	—
1433	C₂²⋊C₄	—	4	4	no	—
1434	C₄²	—	2	8	no	—
1435	C₄²	—	2	4	no	—
1436	C₄²	—	2	2	no	—
1437	C₄²	—	2	2	no	—
1438	C₄²	—	2	4	no	—
1439	C₄²	—	2	4	no	—
1440	C₄²	—	2	4	no	—
1441	C₄²	—	2	4	no	—
1442	C₄²	—	4	1	no	—
1443	C₄²	—	4	1	no	—
1444	C₄²	—	4	2	no	—
1445	C₄²	—	4	4	no	—
1446	C₄²	—	4	4	no	—
1447	C₄²	—	4	4	no	—
1448	C₄²	—	4	4	no	—
1449	C₄²	—	4	4	no	—
1450	C₄²	—	4	4	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	2	16	no	—
1456	C₂³	—	2	2	no	—
1457	C₂³	—	2	2	no	—
1458	C₂³	—	2	2	no	—
1459	C₂³	—	2	2	no	—
1460	C₂³	—	2	2	no	—
1461	C₂³	—	2	2	no	—
1462	C₂³	—	2	2	no	—
1463	C₂³	—	2	2	no	—
1464	C₂³	—	2	2	no	—
1465	C₂³	—	2	2	no	—
1466	C₂³	—	2	2	no	—
1467	C₂³	—	2	2	no	—
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	2	no	—
1472	C₂³	—	2	2	no	—
1473	C₂³	—	2	2	no	—
1474	C₂³	—	2	8	no	—
1475	C₂³	—	2	4	no	—
1476	C₂³	—	2	4	no	—
1477	C₂³	—	2	4	no	—
1478	C₂³	—	2	4	no	—
1479	C₂³	—	2	4	no	—
1480	C₂³	—	2	4	no	—
1481	C₂³	—	2	4	no	—
1482	C₂³	—	2	4	no	—
1483	C₂³	—	2	4	no	—
1484	C₂³	—	2	4	no	—
1485	C₂³	—	2	4	no	—
1486	C₂³	—	2	4	no	—
1487	C₂³	—	2	4	no	—
1488	C₂³	—	2	4	no	—
1489	C₂³	—	4	4	no	—
1490	C₂³	—	4	4	no	—
1491	C₂³	—	4	8	no	—
1492	C₂³	—	4	8	no	—
1493	C₂³	—	4	8	no	—
1494	C₂³	—	4	8	no	—
1495	C₂³	—	4	16	no	—
1496	C₂³	—	4	16	no	—
1497	C₂³	—	4	8	no	—
1498	C₂³	—	4	4	no	—
1499	C₂³	—	4	4	no	—
1500	C₂³	—	4	4	no	—
1501	C₂³	—	4	4	no	—
1502	C₂³	—	4	8	no	—
1503	C₂³	—	4	16	no	—
1504	C₂³	—	4	16	no	—
1505	C₂³	—	4	8	no	—
1506	C₂³	—	4	8	no	—
1507	C₂³	—	4	8	no	—
1508	C₂³	—	8	4	no	—
1509	C₂³	—	8	4	no	—
1510	C₂³	—	8	4	no	—
1511	C₂³	—	8	4	no	—
1512	C₂³	—	8	8	no	—
1513	C₂³	—	8	8	no	—
1514	C₂³	—	8	8	no	—
1515	C₂³	—	8	8	no	—
1516	C₂³	—	8	8	no	—
1517	C₂³	—	8	8	no	—
1518	C₂³	—	8	8	no	—
1519	C₂³	—	8	8	no	—
1520	C₂³	—	8	8	no	—
1521	C₂³	—	8	8	no	—
1522	C₂³	—	8	128	no	—
1523	C₂³	C₂²×#41	1	4	yes	—
1524	C₂³	C₂²×#41	1	2	yes	—
1525	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1526	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1527	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1528	C₂³	#585	1	2	yes	—
1529	C₂³	C₂⁶	1	1	yes	characteristic
1530	Q₈	—	4	4	no	—
1531	Q₈	—	4	8	no	—
1532	Q₈	—	8	2	no	—
1533	Q₈	—	8	4	no	—
1534	D₄	—	2	16	no	—
1535	D₄	—	2	8	no	—
1536	D₄	—	2	8	no	—
1537	D₄	—	4	16	no	—
1538	D₄	—	4	16	no	—
1539	D₄	—	4	8	no	—
1540	D₄	—	4	16	no	—
1541	D₄	—	4	8	no	—
1542	D₄	—	4	8	no	—
1543	D₄	—	8	4	no	—
1544	D₄	—	8	8	no	—
1545	D₄	—	8	8	no	—
1546	D₄	—	8	8	no	—
1547	D₄	—	8	8	no	—
1548	D₄	—	8	8	no	—
1549	D₄	—	8	8	no	—
1550	D₄	—	16	4	no	—
1551	D₄	—	16	4	no	—
1552	D₄	—	16	4	no	—
1553	D₄	—	16	2	no	—
1554	D₄	—	16	4	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	2	no	—
1560	C₂×C₄	—	2	2	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	8	no	—
1564	C₂×C₄	—	2	16	no	—
1565	C₂×C₄	—	2	4	no	—
1566	C₂×C₄	—	2	4	no	—
1567	C₂×C₄	—	2	4	no	—
1568	C₂×C₄	—	2	2	no	—
1569	C₂×C₄	—	2	2	no	—
1570	C₂×C₄	—	2	2	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	2	no	—
1574	C₂×C₄	—	2	2	no	—
1575	C₂×C₄	—	2	2	no	—
1576	C₂×C₄	—	2	2	no	—
1577	C₂×C₄	—	2	2	no	—
1578	C₂×C₄	—	2	2	no	—
1579	C₂×C₄	—	2	2	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	4	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	4	no	—
1586	C₂×C₄	—	2	4	no	—
1587	C₂×C₄	—	2	4	no	—
1588	C₂×C₄	—	2	4	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	2	no	—
1596	C₂×C₄	—	2	2	no	—
1597	C₂×C₄	—	2	2	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	4	no	—
1600	C₂×C₄	—	2	2	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	2	no	—
1603	C₂×C₄	—	2	2	no	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	4	no	—
1606	C₂×C₄	—	2	4	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	2	no	—
1610	C₂×C₄	—	2	2	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	2	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	4	4	no	—
1620	C₂×C₄	—	4	8	no	—
1621	C₂×C₄	—	4	4	no	—
1622	C₂×C₄	—	4	8	no	—
1623	C₂×C₄	—	4	8	no	—
1624	C₂×C₄	—	4	4	no	—
1625	C₂×C₄	—	8	4	no	—
1626	C₂×C₄	—	8	4	no	—
1627	C₂×C₄	—	8	8	no	—
1628	C₂×C₄	—	8	2	no	—
1629	C₂×C₄	—	8	2	no	—
1630	C₂×C₄	—	8	4	no	—
1631	C₂×C₄	—	8	8	no	—
1632	C₂×C₄	—	8	4	no	—
1633	C₂×C₄	—	8	8	no	—
1634	C₂×C₄	—	8	8	no	—
1635	C₂×C₄	—	16	4	no	—
1636	C₂×C₄	C₂²×#41	1	4	yes	—
1637	C₂×C₄	C₂²×#41	1	2	yes	—
1638	C₂×C₄	C₂²×#41	1	2	yes	—
1639	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1640	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1641	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1642	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	2	2	no	—
1645	C₂²	—	2	2	no	—
1646	C₂²	—	2	2	no	—
1647	C₂²	—	2	2	no	—
1648	C₂²	—	2	2	no	—
1649	C₂²	—	2	4	no	—
1650	C₂²	—	2	4	no	—
1651	C₂²	—	2	4	no	—
1652	C₂²	—	2	4	no	—
1653	C₂²	—	2	4	no	—
1654	C₂²	—	2	4	no	—
1655	C₂²	—	2	4	no	—
1656	C₂²	—	2	4	no	—
1657	C₂²	—	2	4	no	—
1658	C₂²	—	4	32	no	—
1659	C₂²	—	4	16	no	—
1660	C₂²	—	4	2	no	—
1661	C₂²	—	4	2	no	—
1662	C₂²	—	4	2	no	—
1663	C₂²	—	4	2	no	—
1664	C₂²	—	4	2	no	—
1665	C₂²	—	4	2	no	—
1666	C₂²	—	4	2	no	—
1667	C₂²	—	4	2	no	—
1668	C₂²	—	4	2	no	—
1669	C₂²	—	4	2	no	—
1670	C₂²	—	4	2	no	—
1671	C₂²	—	4	2	no	—
1672	C₂²	—	4	4	no	—
1673	C₂²	—	4	4	no	—
1674	C₂²	—	4	4	no	—
1675	C₂²	—	4	4	no	—
1676	C₂²	—	4	4	no	—
1677	C₂²	—	4	4	no	—
1678	C₂²	—	4	4	no	—
1679	C₂²	—	4	4	no	—
1680	C₂²	—	4	4	no	—
1681	C₂²	—	4	4	no	—
1682	C₂²	—	4	4	no	—
1683	C₂²	—	4	4	no	—
1684	C₂²	—	4	4	no	—
1685	C₂²	—	4	4	no	—
1686	C₂²	—	8	16	no	—
1687	C₂²	—	8	32	no	—
1688	C₂²	—	8	32	no	—
1689	C₂²	#3506	1	4	yes	—
1690	C₂²	C₂³×#41	1	1	yes	characteristic
1691	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1692	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1693	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1694	C₂²	C₂×#585	1	1	yes	characteristic
1695	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1696	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1697	C₄	—	2	4	no	—
1698	C₄	—	2	2	no	—
1699	C₄	—	2	2	no	—
1700	C₄	—	2	2	no	—
1701	C₄	—	4	4	no	—
1702	C₄	—	4	4	no	—
1703	C₄	—	4	4	no	—
1704	C₄	—	4	2	no	—
1705	C₄	—	4	2	no	—
1706	C₄	—	4	2	no	—
1707	C₄	—	4	2	no	—
1708	C₄	—	4	2	no	—
1709	C₄	—	4	2	no	—
1710	C₄	—	4	2	no	—
1711	C₄	—	4	2	no	—
1712	C₄	—	4	4	no	—
1713	C₄	—	4	2	no	—
1714	C₄	—	4	2	no	—
1715	C₄	—	4	1	no	—
1716	C₄	—	4	1	no	—
1717	C₄	—	4	2	no	—
1718	C₄	—	4	2	no	—
1719	C₄	#3490	1	4	yes	—
1720	C₂	—	2	4	no	—
1721	C₂	—	4	4	no	—
1722	C₂	—	4	4	no	—
1723	C₂	—	4	4	no	—
1724	C₂	—	8	4	no	—
1725	C₂	—	8	4	no	—
1726	C₂	C₂×#3490	1	1	yes	characteristic
1727	C₂	C₂×#3506	1	1	yes	characteristic
1728	C₂	#62855	1	1	yes	characteristic
1729	C₂	#62892	1	1	yes	characteristic
1730	C₂	#62896	1	1	yes	characteristic
1731	C₂	#62912	1	1	yes	characteristic
1732	C₂	#62918	1	1	yes	characteristic

	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. #49601	C₂	semidirect
2. #49599	C₂	semidirect
3. #47891	C₂	semidirect
4. #47889	C₂	semidirect
5. #45367	C₂	semidirect
6. #45365	C₂	semidirect
7. #45097	C₂	semidirect
8. #44961	C₂	semidirect
9. #44959	C₂	semidirect
10. #44957	C₂	semidirect
11. #44955	C₂	semidirect
12. #44876	C₂	semidirect
13. #39511	C₂	semidirect
14. #39383	C₂	semidirect
15. #39252	C₂	semidirect
16. #39198	C₂	semidirect
17. #37949	C₂	semidirect
18. #37761	C₂	semidirect
19. #36725	C₂	semidirect
20. #36441	C₂	semidirect
21. #36161	C₂	semidirect
22. #36101	C₂	semidirect
23. #35222	C₂	semidirect
24. #35050	C₂	semidirect
25. #35032	C₂	semidirect
26. #34988	C₂	semidirect
27. #34578	C₂	semidirect
28. #34404	C₂	semidirect
29. C₂×D₄×C₂²⋊C₄	C₂	semidirect
31. C₂×#559	C₂²	semidirect
32. C₂×#556	C₂²	semidirect
33. C₂×#550	C₂²	semidirect
34. C₂×#538	C₂²	semidirect
38. C₂×#525	C₂²	semidirect
42. #2857	C₂²	semidirect
43. #2856	C₂²	semidirect
44. #2850	C₂²	semidirect
45. #2849	C₂²	semidirect
46. #2848	C₂²	semidirect
47. #2847	C₂²	semidirect
50. #2808	C₂²	semidirect
51. #2803	C₂²	semidirect
52. #2803	C₂²	semidirect
53. #2800	C₂²	semidirect
54. #2797	C₂²	semidirect
55. #2761	C₂²	semidirect
56. #2757	C₂²	semidirect
57. #2756	C₂²	semidirect
58. #2753	C₂²	semidirect
59. #2749	C₂²	semidirect
60. #2737	C₂²	semidirect
61. #2736	C₂²	semidirect
62. #2735	C₂²	semidirect
63. #2735	C₂²	semidirect
64. #2735	C₂²	semidirect
65. #2733	C₂²	semidirect
66. #2727	C₂²	semidirect
67. #2723	C₂²	semidirect
68. #2714	C₂²	semidirect
69. #2710	C₂²	semidirect
70. #2706	C₂²	semidirect
71. #2703	C₂²	semidirect
72. #2701	C₂²	semidirect
73. #2699	C₂²	semidirect
74. #2697	C₂²	semidirect
75. #2697	C₂²	semidirect
76. #2691	C₂²	semidirect
77. #2688	C₂²	semidirect
78. #2686	C₂²	semidirect
79. #2685	C₂²	semidirect
80. #2685	C₂²	semidirect
81. #2685	C₂²	semidirect
82. #2685	C₂²	semidirect
83. #2684	C₂²	semidirect
84. #2684	C₂²	semidirect
85. #2682	C₂²	semidirect
86. #2678	C₂²	semidirect
87. #2678	C₂²	semidirect
88. #2672	C₂²	semidirect
89. #2671	C₂²	semidirect
90. #2670	C₂²	semidirect
91. #2668	C₂²	semidirect
92. #2667	C₂²	semidirect
93. #2667	C₂²	semidirect
94. #2665	C₂²	semidirect
95. #2665	C₂²	semidirect
96. #2659	C₂²	semidirect
97. #2659	C₂²	semidirect
98. #2646	C₂²	semidirect
102. #2626	C₂²	semidirect
103. #2622	C₂²	semidirect
106. #2617	C₂²	semidirect
109. #2610	C₂²	semidirect
110. #2603	C₂²	semidirect
111. #2602	C₂²	semidirect
112. #2602	C₂²	semidirect
113. #2602	C₂²	semidirect
114. #2600	C₂²	semidirect
115. #2597	C₂²	semidirect
116. #2592	C₂²	semidirect
117. #2592	C₂²	semidirect
118. #2580	C₂²	semidirect
119. #2561	C₂²	semidirect
120. #2559	C₂²	semidirect
121. #2555	C₂²	semidirect
122. #2554	C₂²	semidirect
123. #2548	C₂²	semidirect
124. #2548	C₂²	semidirect
125. #2548	C₂²	semidirect
126. #2547	C₂²	semidirect
127. #2545	C₂²	semidirect
128. #2544	C₂²	semidirect
129. #2544	C₂²	semidirect
130. #2543	C₂²	semidirect
131. #2541	C₂²	semidirect
132. #2541	C₂²	semidirect
133. #2539	C₂²	semidirect
134. #2538	C₂²	semidirect
135. #2538	C₂²	semidirect
136. #2534	C₂²	semidirect
137. #2534	C₂²	semidirect
138. #2531	C₂²	semidirect
139. #2526	C₂²	semidirect
140. #2513	C₂²	semidirect
141. #2513	C₂²	semidirect
142. #2512	C₂²	semidirect
143. #2512	C₂²	semidirect
144. #2500	C₂²	semidirect
145. #2499	C₂²	semidirect
146. #2485	C₂²	semidirect
147. #2482	C₂²	semidirect
148. #2480	C₂²	semidirect
149. #2480	C₂²	semidirect
150. #2480	C₂²	semidirect
151. #2480	C₂²	semidirect
152. #2479	C₂²	semidirect
153. #2476	C₂²	semidirect
154. #2472	C₂²	semidirect
155. #2472	C₂²	semidirect
156. #2472	C₂²	semidirect
157. #2472	C₂²	semidirect
158. #2466	C₂²	semidirect
159. #2464	C₂²	semidirect
160. #2461	C₂²	semidirect
161. #2459	C₂²	semidirect
162. #2456	C₂²	semidirect
163. #2455	C₂²	semidirect
164. #2448	C₂²	semidirect
165. #2448	C₂²	semidirect
166. #2447	C₂²	semidirect
167. #2447	C₂²	semidirect
168. #2445	C₂²	semidirect
169. #2445	C₂²	semidirect
170. #2445	C₂²	semidirect
171. #2445	C₂²	semidirect
172. #2444	C₂²	semidirect
181. #2432	C₂²	semidirect
182. #2431	C₂²	semidirect
183. #2430	C₂²	semidirect
184. #2425	C₂²	semidirect
185. #2424	C₂²	semidirect
186. #2424	C₂²	semidirect
187. #2424	C₂²	semidirect
188. #2424	C₂²	semidirect
189. #2418	C₂²	semidirect
190. #2418	C₂²	semidirect
191. #2418	C₂²	semidirect
192. #2418	C₂²	semidirect
193. #2415	C₂²	semidirect
194. #2414	C₂²	semidirect
195. #2411	C₂²	semidirect
196. #2411	C₂²	semidirect
201. #2407	C₂²	semidirect
202. #2404	C₂²	semidirect
203. #2396	C₂²	semidirect
204. #2396	C₂²	semidirect
205. #2396	C₂²	semidirect
206. #2396	C₂²	semidirect
207. #2376	C₂²	semidirect
208. #2376	C₂²	semidirect
209. #2367	C₂²	semidirect
210. #2367	C₂²	semidirect
211. #2366	C₂²	semidirect
212. #2366	C₂²	semidirect
213. #2361	C₂²	semidirect
214. #2361	C₂²	semidirect
215. #2360	C₂²	semidirect
216. #2360	C₂²	semidirect
217. #2357	C₂²	semidirect
218. #2354	C₂²	semidirect
219. #2354	C₂²	semidirect
220. #2353	C₂²	semidirect
221. #2349	C₂²	semidirect
222. #2347	C₂²	semidirect
223. #2346	C₂²	semidirect
224. #2341	C₂²	semidirect
225. #2339	C₂²	semidirect
232. #2325	C₂²	semidirect
233. #2325	C₂²	semidirect
234. #2324	C₂²	semidirect
235. #2324	C₂²	semidirect
236. #2323	C₂²	semidirect
237. #2323	C₂²	semidirect
240. #2321	C₂²	semidirect
241. #2319	C₂²	semidirect
242. #2318	C₂²	semidirect
243. #2312	C₂²	semidirect
246. C₄×C₂²⋊Q₈	C₂²	semidirect
247. C₄×C₂²⋊Q₈	C₂²	semidirect
248. C₄×C₂²⋊Q₈	C₂²	semidirect
249. C₄×#120	C₂²	semidirect
255. #2280	C₂²	semidirect
261. C₂²×#41	C₂³	semidirect
280. C₂×C₄⋊Q₈	C₂³	semidirect
285. C₂×#127	C₂³	semidirect
286. C₂×#126	C₂³	semidirect
287. C₂×#126	C₂³	semidirect
288. C₂×#126	C₂³	semidirect
293. C₂×#124	C₂³	semidirect
294. C₂×#124	C₂³	semidirect
295. C₂×#124	C₂³	semidirect
296. C₂×#124	C₂³	semidirect
300. C₂×#123	C₂³	semidirect
301. C₂×#123	C₂³	semidirect
302. C₂×#123	C₂³	semidirect
303. C₂×#123	C₂³	semidirect
304. C₂×#123	C₂³	semidirect
305. C₂×#123	C₂³	semidirect
311. C₂×C₂²⋊Q₈	C₂³	semidirect
312. C₂×C₂²⋊Q₈	C₂³	semidirect
313. C₂×C₂²⋊Q₈	C₂³	semidirect
322. C₂×#121	C₂³	semidirect
323. C₂×#121	C₂³	semidirect
324. C₂×#121	C₂³	semidirect
325. C₂×#121	C₂³	semidirect
326. C₂×#121	C₂³	semidirect
327. C₂×#121	C₂³	semidirect
341. C₂×C₄×Q₈	C₂³	semidirect
342. C₂×C₄×Q₈	C₂³	semidirect
343. C₂×C₄×Q₈	C₂³	semidirect
344. C₂×C₄×Q₈	C₂³	semidirect
345. C₂×C₄×Q₈	C₂³	semidirect
361. C₂×C₄×D₄	C₂³	semidirect
362. C₂×C₄×D₄	C₂³	semidirect
363. C₂×C₄×D₄	C₂³	semidirect
364. C₂×C₄×D₄	C₂³	semidirect
365. C₂×C₄×D₄	C₂³	semidirect
369. C₂×#117	C₂³	semidirect
370. C₂×#117	C₂³	semidirect
371. C₂×#117	C₂³	semidirect
390. #400	C₂³	semidirect
391. #400	C₂³	semidirect
392. #400	C₂³	semidirect
393. #400	C₂³	semidirect
398. #399	C₂³	semidirect
399. #399	C₂³	semidirect
400. #399	C₂³	semidirect
401. #398	C₂³	semidirect
402. #398	C₂³	semidirect
403. #398	C₂³	semidirect
404. #398	C₂³	semidirect
405. #398	C₂³	semidirect
406. #398	C₂³	semidirect
407. #398	C₂³	semidirect
408. #398	C₂³	semidirect
411. #397	C₂³	semidirect
412. #397	C₂³	semidirect
413. #397	C₂³	semidirect
414. #397	C₂³	semidirect
415. #397	C₂³	semidirect
416. #397	C₂³	semidirect
417. #397	C₂³	semidirect
418. #397	C₂³	semidirect
419. #397	C₂³	semidirect
420. #397	C₂³	semidirect
421. #397	C₂³	semidirect
422. #397	C₂³	semidirect
423. #397	C₂³	semidirect
424. #397	C₂³	semidirect
425. #397	C₂³	semidirect
434. #396	C₂³	semidirect
435. #396	C₂³	semidirect
436. #396	C₂³	semidirect
437. #396	C₂³	semidirect
438. #396	C₂³	semidirect
439. #396	C₂³	semidirect
440. #395	C₂³	semidirect
441. #395	C₂³	semidirect
442. #395	C₂³	semidirect
443. #395	C₂³	semidirect
456. #394	C₂³	semidirect
457. #394	C₂³	semidirect
458. #394	C₂³	semidirect
459. #394	C₂³	semidirect
460. #394	C₂³	semidirect
461. #394	C₂³	semidirect
462. #394	C₂³	semidirect
463. #394	C₂³	semidirect
464. #394	C₂³	semidirect
465. #394	C₂³	semidirect
466. #394	C₂³	semidirect
467. #394	C₂³	semidirect
468. #394	C₂³	semidirect
469. #394	C₂³	semidirect
470. #394	C₂³	semidirect
471. #394	C₂³	semidirect
472. #394	C₂³	semidirect
473. #394	C₂³	semidirect
478. #393	C₂³	semidirect
479. #393	C₂³	semidirect
480. #393	C₂³	semidirect
491. #392	C₂³	semidirect
492. #392	C₂³	semidirect
493. #392	C₂³	semidirect
494. #391	C₂³	semidirect
495. #391	C₂³	semidirect
496. #391	C₂³	semidirect
497. #391	C₂³	semidirect
498. #391	C₂³	semidirect
499. #391	C₂³	semidirect
500. #391	C₂³	semidirect
524. #390	C₂³	semidirect
525. #390	C₂³	semidirect
526. #390	C₂³	semidirect
527. #390	C₂³	semidirect
528. #390	C₂³	semidirect
529. #390	C₂³	semidirect
530. #390	C₂³	semidirect
531. #390	C₂³	semidirect
532. #390	C₂³	semidirect
533. #390	C₂³	semidirect
534. #390	C₂³	semidirect
535. #390	C₂³	semidirect
536. #389	C₂³	semidirect
537. #389	C₂³	semidirect
538. #389	C₂³	semidirect
539. #389	C₂³	semidirect
540. #389	C₂³	semidirect
541. #389	C₂³	semidirect
542. #389	C₂³	semidirect
543. #389	C₂³	semidirect
544. #389	C₂³	semidirect
545. #389	C₂³	semidirect
546. #389	C₂³	semidirect
547. #389	C₂³	semidirect
548. #389	C₂³	semidirect
557. #388	C₂³	semidirect
558. #388	C₂³	semidirect
559. #388	C₂³	semidirect
560. #388	C₂³	semidirect
561. #388	C₂³	semidirect
562. #388	C₂³	semidirect
563. #388	C₂³	semidirect
564. #388	C₂³	semidirect
565. #388	C₂³	semidirect
566. #388	C₂³	semidirect
567. #388	C₂³	semidirect
568. #388	C₂³	semidirect
569. #388	C₂³	semidirect
570. #388	C₂³	semidirect
571. #388	C₂³	semidirect
572. #388	C₂³	semidirect
573. #388	C₂³	semidirect
574. #388	C₂³	semidirect
575. #388	C₂³	semidirect
576. #388	C₂³	semidirect
577. #388	C₂³	semidirect
578. #388	C₂³	semidirect
579. #388	C₂³	semidirect
580. #388	C₂³	semidirect
581. #388	C₂³	semidirect
582. #388	C₂³	semidirect
583. #388	C₂³	semidirect
584. #388	C₂³	semidirect
585. #388	C₂³	semidirect
586. #388	C₂³	semidirect
587. #388	C₂³	semidirect
588. #388	C₂³	semidirect
589. #387	C₂³	semidirect
590. #387	C₂³	semidirect
591. #387	C₂³	semidirect
592. #387	C₂³	semidirect
593. #387	C₂³	semidirect
594. #387	C₂³	semidirect
595. #387	C₂³	semidirect
596. #387	C₂³	semidirect
597. #387	C₂³	semidirect
598. #387	C₂³	semidirect
615. #386	C₂³	semidirect
616. #386	C₂³	semidirect
617. #386	C₂³	semidirect
618. #386	C₂³	semidirect
619. #386	C₂³	semidirect
620. #386	C₂³	semidirect
621. #386	C₂³	semidirect
622. #386	C₂³	semidirect
623. #386	C₂³	semidirect
624. #386	C₂³	semidirect
625. #386	C₂³	semidirect
626. #386	C₂³	semidirect
627. #386	C₂³	semidirect
628. #386	C₂³	semidirect
635. #385	C₂³	semidirect
636. #385	C₂³	semidirect
637. #385	C₂³	semidirect
638. #385	C₂³	semidirect
639. #385	C₂³	semidirect
640. #385	C₂³	semidirect
641. #385	C₂³	semidirect
642. #385	C₂³	semidirect
643. #385	C₂³	semidirect
644. #385	C₂³	semidirect
645. #385	C₂³	semidirect
646. #385	C₂³	semidirect
647. #384	C₂³	semidirect
648. #384	C₂³	semidirect
649. #383	C₂³	semidirect
650. #382	C₂³	semidirect
651. #382	C₂³	semidirect
654. #381	C₂³	semidirect
655. #381	C₂³	semidirect
656. #381	C₂³	semidirect
657. #381	C₂³	semidirect
670. #380	C₂³	semidirect
671. #380	C₂³	semidirect
672. #380	C₂³	semidirect
673. #380	C₂³	semidirect
674. #380	C₂³	semidirect
675. #380	C₂³	semidirect
676. #380	C₂³	semidirect
695. C₄×C₄⋊C₄	C₂³	semidirect
696. C₄×C₄⋊C₄	C₂³	semidirect
697. C₄×C₄⋊C₄	C₂³	semidirect
698. C₄×C₄⋊C₄	C₂³	semidirect
699. C₄×C₄⋊C₄	C₂³	semidirect
700. C₄×C₄⋊C₄	C₂³	semidirect
701. C₄×C₄⋊C₄	C₂³	semidirect
702. C₄×C₄⋊C₄	C₂³	semidirect
703. C₄×C₄⋊C₄	C₂³	semidirect
704. C₄×C₄⋊C₄	C₂³	semidirect
705. C₄×C₄⋊C₄	C₂³	semidirect
706. C₄×C₄⋊C₄	C₂³	semidirect
717. C₄×C₂²⋊C₄	C₂³	semidirect
718. C₄×C₂²⋊C₄	C₂³	semidirect
719. C₄×C₂²⋊C₄	C₂³	semidirect
720. C₄×C₂²⋊C₄	C₂³	semidirect
721. #376	C₂³	semidirect
725. C₂×#95	C₂³	semidirect
796. C₂³×C₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#49601	2
#49599	2
#47891	2
#47889	2
#45367	2
#45365	2
#45097	2
#44961	2
#44959	2
#44957	2
#44955	2
#44876	2
#39511	2
#39383	2
#39252	2
#39198	2
#37949	2
#37761	2
#36725	2
#36441	2
#36161	2
#36101	2
#35222	2
#35050	2
#35032	2
#34988	2
#34578	2
#34404	2
C₂×D₄×C₂²⋊C₄	2