Subgroups — #7655938

Order 512.

6672 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#42642	C₂	1	2	yes	maximal, complemented
2	#42634	C₂	1	2	yes	maximal, complemented
3	#42606	C₂	1	2	yes	maximal, complemented
4	#42535	C₂	1	2	yes	maximal, complemented
5	#40893	C₂	1	4	yes	maximal, complemented
6	#40888	C₂	1	4	yes	maximal, complemented
7	#40817	C₂	1	4	yes	maximal, complemented
8	#40733	C₂	1	4	yes	maximal, complemented
9	#39605	C₂	1	2	yes	maximal, complemented
10	#39511	C₂	1	1	yes	maximal, characteristic, complemented
11	#39375	C₂	1	1	yes	maximal, characteristic, complemented
12	#37881	C₂	1	2	yes	maximal, complemented
13	#37848	C₂	1	4	yes	maximal, complemented
14	#37703	C₂	1	2	yes	maximal, complemented
15	#37492	C₂	1	2	yes	maximal, complemented
16	#37482	C₂	1	4	yes	maximal, complemented
17	#36153	C₂	1	1	yes	maximal, characteristic, complemented
18	#36152	C₂	1	2	yes	maximal, complemented
19	D₄×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	#35987	C₂	1	2	yes	maximal, complemented
21	#35939	C₂	1	2	yes	maximal, complemented
22	#35914	C₂	1	2	yes	maximal, complemented
23	#35821	C₂	1	2	yes	maximal, complemented
24	#35014	C₂	1	1	yes	maximal, characteristic, complemented
25	#34988	C₂	1	2	yes	maximal, complemented
26	#34570	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2626	C₂	1	2	yes	maximal, complemented
28	#34288	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×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×#547	C₂²	1	1	yes	characteristic, complemented
33	C₂×#546	C₂²	1	2	yes	—
34	C₂×#546	C₂²	1	2	yes	—
35	C₂×#546	C₂²	1	2	yes	—
36	C₂×#538	C₂²	1	2	yes	complemented
37	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
38	C₂×#520	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	#2857	C₂²	1	1	yes	characteristic, complemented
44	#2848	C₂²	1	2	yes	—
45	#2848	C₂²	1	2	yes	complemented
46	#2847	C₂²	1	2	yes	complemented
47	#2846	C₂²	1	4	yes	—
48	#2830	C₂²	1	4	yes	complemented
49	#2829	C₂²	1	4	yes	complemented
50	#2827	C₂²	1	4	yes	complemented
51	#2827	C₂²	1	4	yes	complemented
52	#2826	C₂²	1	4	yes	complemented
53	#2824	C₂²	1	4	yes	complemented
54	#2808	C₂²	1	2	yes	complemented
55	#2800	C₂²	1	4	yes	complemented
56	#2788	C₂²	1	4	yes	complemented
57	#2784	C₂²	1	4	yes	complemented
58	#2781	C₂²	1	4	yes	complemented
59	#2780	C₂²	1	4	yes	complemented
60	#2779	C₂²	1	4	yes	complemented
61	#2768	C₂²	1	4	yes	complemented
62	#2741	C₂²	1	4	yes	complemented
63	#2736	C₂²	1	4	yes	complemented
64	#2735	C₂²	1	4	yes	complemented
65	#2735	C₂²	1	4	yes	complemented
66	#2735	C₂²	1	4	yes	complemented
67	#2730	C₂²	1	4	yes	complemented
68	#2727	C₂²	1	2	yes	complemented
69	#2727	C₂²	1	2	yes	complemented
70	#2710	C₂²	1	4	yes	complemented
71	#2702	C₂²	1	4	yes	complemented
72	#2702	C₂²	1	4	yes	complemented
73	#2697	C₂²	1	4	yes	complemented
74	#2696	C₂²	1	4	yes	complemented
75	#2685	C₂²	1	4	yes	complemented
76	#2685	C₂²	1	4	yes	complemented
77	#2684	C₂²	1	4	yes	complemented
78	#2682	C₂²	1	2	yes	complemented
79	#2676	C₂²	1	4	yes	complemented
80	#2662	C₂²	1	4	yes	complemented
81	#2653	C₂²	1	2	yes	complemented
82	#2653	C₂²	1	4	yes	complemented
83	#2652	C₂²	1	2	yes	complemented
84	#2651	C₂²	1	4	yes	complemented
85	#2649	C₂²	1	2	yes	complemented
86	#2649	C₂²	1	4	yes	complemented
87	#2648	C₂²	1	2	yes	complemented
88	#2646	C₂²	1	1	yes	characteristic, complemented
89	#2646	C₂²	1	2	yes	complemented
90	#2644	C₂²	1	2	yes	complemented
91	#2643	C₂²	1	2	yes	complemented
92	#2643	C₂²	1	4	yes	complemented
93	#2640	C₂²	1	2	yes	complemented
94	#2639	C₂²	1	1	yes	characteristic, complemented
95	#2639	C₂²	1	4	yes	complemented
96	#2636	C₂²	1	4	yes	complemented
97	#2630	C₂²	1	4	yes	complemented
98	#2626	C₂²	1	1	yes	characteristic
99	#2626	C₂²	1	2	yes	—
100	#2626	C₂²	1	4	yes	—
101	#2626	C₂²	1	2	yes	complemented
102	#2626	C₂²	1	4	yes	complemented
103	#2626	C₂²	1	2	yes	complemented
104	#2626	C₂²	1	4	yes	complemented
105	#2626	C₂²	1	4	yes	complemented
106	#2626	C₂²	1	4	yes	complemented
107	#2626	C₂²	1	4	yes	complemented
108	#2624	C₂²	1	2	yes	complemented
109	#2623	C₂²	1	4	yes	complemented
110	#2622	C₂²	1	2	yes	—
111	#2622	C₂²	1	4	yes	complemented
112	#2620	C₂²	1	2	yes	complemented
113	#2618	C₂²	1	4	yes	complemented
114	#2617	C₂²	1	1	yes	characteristic
115	#2592	C₂²	1	2	yes	complemented
116	#2589	C₂²	1	4	yes	complemented
117	#2587	C₂²	1	4	yes	complemented
118	#2563	C₂²	1	2	yes	complemented
119	#2561	C₂²	1	4	yes	complemented
120	#2547	C₂²	1	1	yes	characteristic, complemented
121	#2545	C₂²	1	2	yes	complemented
122	#2542	C₂²	1	1	yes	characteristic, complemented
123	#2538	C₂²	1	2	yes	complemented
124	#2538	C₂²	1	1	yes	characteristic, complemented
125	#2537	C₂²	1	1	yes	characteristic, complemented
126	#2534	C₂²	1	4	yes	complemented
127	#2512	C₂²	1	2	yes	complemented
128	#2512	C₂²	1	2	yes	complemented
129	#2512	C₂²	1	2	yes	complemented
130	#2505	C₂²	1	4	yes	complemented
131	#2501	C₂²	1	2	yes	complemented
132	#2498	C₂²	1	4	yes	complemented
133	#2497	C₂²	1	2	yes	complemented
134	#2497	C₂²	1	2	yes	complemented
135	#2497	C₂²	1	2	yes	complemented
136	#2492	C₂²	1	2	yes	complemented
137	#2492	C₂²	1	2	yes	complemented
138	#2491	C₂²	1	2	yes	complemented
139	#2491	C₂²	1	2	yes	complemented
140	#2488	C₂²	1	4	yes	complemented
141	#2488	C₂²	1	4	yes	complemented
142	#2487	C₂²	1	2	yes	complemented
143	#2486	C₂²	1	2	yes	complemented
144	#2482	C₂²	1	4	yes	complemented
145	#2481	C₂²	1	4	yes	complemented
146	#2481	C₂²	1	4	yes	complemented
147	#2481	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	#2480	C₂²	1	4	yes	complemented
153	#2480	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	#2452	C₂²	1	2	yes	complemented
159	#2450	C₂²	1	4	yes	complemented
160	#2449	C₂²	1	4	yes	complemented
161	#2448	C₂²	1	2	yes	complemented
162	#2448	C₂²	1	2	yes	complemented
163	#2443	C₂²	1	4	yes	complemented
164	#2443	C₂²	1	4	yes	complemented
165	#2440	C₂²	1	2	yes	complemented
166	#2437	C₂²	1	4	yes	complemented
167	#2436	C₂²	1	4	yes	complemented
168	#2435	C₂²	1	2	yes	—
169	#2435	C₂²	1	2	yes	—
170	#2435	C₂²	1	2	yes	—
171	#2429	C₂²	1	2	yes	complemented
172	#2427	C₂²	1	2	yes	complemented
173	#2426	C₂²	1	2	yes	complemented
174	#2425	C₂²	1	4	yes	complemented
175	#2425	C₂²	1	4	yes	complemented
176	#2424	C₂²	1	4	yes	complemented
177	#2424	C₂²	1	4	yes	complemented
178	#2423	C₂²	1	2	yes	complemented
179	#2423	C₂²	1	2	yes	complemented
180	#2418	C₂²	1	4	yes	complemented
181	#2418	C₂²	1	4	yes	complemented
182	#2418	C₂²	1	4	yes	complemented
183	#2418	C₂²	1	4	yes	complemented
184	#2417	C₂²	1	2	yes	complemented
185	#2417	C₂²	1	2	yes	complemented
186	#2417	C₂²	1	2	yes	complemented
187	#2416	C₂²	1	2	yes	complemented
188	#2416	C₂²	1	4	yes	complemented
189	#2416	C₂²	1	2	yes	complemented
190	#2413	C₂²	1	4	yes	complemented
191	#2412	C₂²	1	4	yes	complemented
192	#2411	C₂²	1	4	yes	complemented
193	#2410	C₂²	1	4	yes	—
194	#2410	C₂²	1	4	yes	—
195	#2410	C₂²	1	4	yes	—
196	#2409	C₂²	1	2	yes	complemented
197	#2408	C₂²	1	2	yes	—
198	#2408	C₂²	1	2	yes	—
199	#2408	C₂²	1	2	yes	—
200	#2405	C₂²	1	4	yes	—
201	#2405	C₂²	1	4	yes	—
202	#2405	C₂²	1	4	yes	—
203	#2401	C₂²	1	2	yes	complemented
204	#2398	C₂²	1	2	yes	complemented
205	#2395	C₂²	1	2	yes	complemented
206	C₂×#399	C₂²	1	4	yes	complemented
207	#2392	C₂²	1	2	yes	complemented
208	C₂×#396	C₂²	1	4	yes	complemented
209	C₂×#396	C₂²	1	4	yes	complemented
210	C₂×#393	C₂²	1	4	yes	complemented
211	#2367	C₂²	1	2	yes	complemented
212	#2361	C₂²	1	4	yes	complemented
213	#2361	C₂²	1	2	yes	complemented
214	#2360	C₂²	1	2	yes	complemented
215	#2359	C₂²	1	4	yes	complemented
216	#2358	C₂²	1	4	yes	complemented
217	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
218	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
219	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
220	D₄×C₄⋊C₄	C₂²	1	2	yes	complemented
221	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
222	#2342	C₂²	1	4	yes	complemented
223	#2339	C₂²	1	2	yes	complemented
224	#2339	C₂²	1	2	yes	complemented
225	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
226	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
227	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
228	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
229	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
230	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
231	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
232	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
233	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
234	#2329	C₂²	1	2	yes	complemented
235	#2326	C₂²	1	2	yes	complemented
236	#2325	C₂²	1	4	yes	complemented
237	#2324	C₂²	1	2	yes	complemented
238	#2322	C₂²	1	4	yes	complemented
239	#2321	C₂²	1	4	yes	—
240	#2312	C₂²	1	2	yes	—
241	#2312	C₂²	1	2	yes	complemented
242	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
243	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
244	C₄×#121	C₂²	1	1	yes	characteristic, complemented
245	C₄×#120	C₂²	1	2	yes	—
246	C₄×#120	C₂²	1	4	yes	complemented
247	C₂×#390	C₂²	1	1	yes	characteristic
248	C₂×#390	C₂²	1	1	yes	characteristic
249	#2290	C₂²	1	2	yes	complemented
250	C₂×#386	C₂²	1	2	yes	—
251	C₂×#386	C₂²	1	2	yes	—
252	C₂×#385	C₂²	1	4	yes	complemented
253	C₂×#380	C₂²	1	1	yes	characteristic
254	C₂×#380	C₂²	1	2	yes	complemented
255	C₂×#379	C₂²	1	2	yes	—
256	C₂×#379	C₂²	1	4	yes	—
257	#2275	C₂²	1	2	yes	complemented
258	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
259	C₂⁶	C₂³	1	2	yes	—
260	C₂²×#41	C₂³	1	2	yes	—
261	C₂³×Q₈	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	2	yes	—
266	C₂³×D₄	C₂³	1	1	yes	characteristic
267	C₂³×D₄	C₂³	1	4	yes	—
268	C₂³×D₄	C₂³	1	2	yes	—
269	C₂³×D₄	C₂³	1	2	yes	—
270	C₂³×D₄	C₂³	1	1	yes	characteristic
271	C₂⁴×C₄	C₂³	1	1	yes	characteristic
272	C₂⁴×C₄	C₂³	1	2	yes	—
273	C₂⁴×C₄	C₂³	1	2	yes	—
274	D₄×Q₈	—	4	4	no	—
275	#547	—	4	4	no	—
276	#546	—	2	16	no	—
277	#546	—	4	8	no	—
278	#546	—	4	8	no	—
279	#538	—	4	8	no	—
280	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
281	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
282	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
283	C₂×#126	C₂³	1	4	yes	complemented
284	C₂×#126	C₂³	1	4	yes	complemented
285	C₂×#126	C₂³	1	4	yes	complemented
286	C₂×#124	C₂³	1	2	yes	—
287	C₂×#124	C₂³	1	2	yes	—
288	C₂×#124	C₂³	1	2	yes	—
289	C₂×#124	C₂³	1	4	yes	complemented
290	C₂×#124	C₂³	1	4	yes	complemented
291	C₂×#123	C₂³	1	4	yes	—
292	C₂×#123	C₂³	1	4	yes	—
293	C₂×#123	C₂³	1	4	yes	—
294	C₂×#123	C₂³	1	4	yes	complemented
295	C₂×#123	C₂³	1	4	yes	complemented
296	C₂×#123	C₂³	1	4	yes	complemented
297	C₂×C₂²⋊Q₈	—	4	8	no	—
298	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
299	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
300	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
302	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
305	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
306	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
307	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
308	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
309	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
310	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
311	C₂×#121	C₂³	1	2	yes	—
312	C₂×#121	C₂³	1	4	yes	—
313	C₂×#121	C₂³	1	1	yes	characteristic
314	C₂×#121	C₂³	1	4	yes	—
315	C₂×#121	C₂³	1	2	yes	—
316	C₂×#121	C₂³	1	2	yes	—
317	C₂×#121	C₂³	1	4	yes	—
318	C₂×#121	C₂³	1	2	yes	complemented
319	C₂×#121	C₂³	1	4	yes	complemented
320	C₂×#121	C₂³	1	2	yes	complemented
321	C₂×#120	C₂³	1	2	yes	—
322	C₂×#120	C₂³	1	4	yes	—
323	C₂×#120	C₂³	1	4	yes	—
324	C₂×#120	C₂³	1	4	yes	—
325	C₂×#120	C₂³	1	4	yes	—
326	C₂×#120	C₂³	1	4	yes	—
327	C₂×#120	C₂³	1	4	yes	—
328	#520	—	4	8	no	—
329	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
330	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
331	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
332	C₂×C₄×D₄	—	4	4	no	—
333	C₂×C₄×D₄	—	4	4	no	—
334	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
335	C₂×C₄×D₄	C₂³	1	2	yes	—
336	C₂×C₄×D₄	C₂³	1	2	yes	—
337	C₂×C₄×D₄	C₂³	1	2	yes	—
338	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
339	C₂×C₄×D₄	C₂³	1	2	yes	—
340	C₂×C₄×D₄	C₂³	1	2	yes	—
341	C₂×C₄×D₄	C₂³	1	2	yes	—
342	C₂×C₄×D₄	C₂³	1	4	yes	—
343	C₂×C₄×D₄	C₂³	1	4	yes	—
344	C₂×C₄×D₄	C₂³	1	2	yes	—
345	C₂×C₄×D₄	C₂³	1	2	yes	—
346	C₂×C₄×D₄	C₂³	1	2	yes	—
347	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
348	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
349	C₂×C₄×D₄	C₂³	1	2	yes	—
350	C₂×C₄×D₄	C₂³	1	4	yes	complemented
351	C₂×C₄×D₄	C₂³	1	4	yes	complemented
352	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
353	C₂×C₄×D₄	C₂³	1	4	yes	complemented
354	C₂×#117	C₂³	1	2	yes	complemented
355	C₂×#117	C₂³	1	4	yes	complemented
356	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
357	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
358	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
359	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
360	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
361	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
362	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
363	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
364	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
365	C₂²×C₂²⋊C₄	—	4	8	no	—
366	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
368	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
369	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
371	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
372	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
373	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
374	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
375	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
376	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
377	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
378	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
379	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
380	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
381	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
382	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
383	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
384	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
385	C₂²×C₄²	C₂³	1	1	yes	characteristic
386	C₂²×C₄²	C₂³	1	1	yes	characteristic
387	#401	C₂³	1	2	yes	complemented
388	#400	C₂³	1	4	yes	complemented
389	#400	C₂³	1	4	yes	complemented
390	#400	C₂³	1	4	yes	complemented
391	#400	C₂³	1	4	yes	complemented
392	#400	C₂³	1	2	yes	complemented
393	#400	C₂³	1	2	yes	complemented
394	#400	C₂³	1	4	yes	complemented
395	#400	C₂³	1	4	yes	complemented
396	#400	C₂³	1	2	yes	complemented
397	#400	C₂³	1	2	yes	complemented
398	#400	C₂³	1	2	yes	complemented
399	#400	C₂³	1	2	yes	complemented
400	#399	C₂³	1	4	yes	—
401	#399	C₂³	1	2	yes	—
402	#399	C₂³	1	4	yes	—
403	#399	C₂³	1	4	yes	—
404	#399	C₂³	1	4	yes	complemented
405	#399	C₂³	1	4	yes	complemented
406	#399	C₂³	1	4	yes	complemented
407	#399	C₂³	1	4	yes	complemented
408	#399	C₂³	1	4	yes	complemented
409	#399	C₂³	1	4	yes	complemented
410	#398	C₂³	1	4	yes	complemented
411	#398	C₂³	1	4	yes	complemented
412	#398	C₂³	1	4	yes	complemented
413	#398	C₂³	1	4	yes	complemented
414	#398	C₂³	1	4	yes	complemented
415	#398	C₂³	1	4	yes	complemented
416	#398	C₂³	1	2	yes	complemented
417	#398	C₂³	1	2	yes	complemented
418	#397	C₂³	1	2	yes	—
419	#397	C₂³	1	2	yes	—
420	#397	C₂³	1	2	yes	—
421	#397	C₂³	1	2	yes	—
422	#397	C₂³	1	2	yes	—
423	#397	C₂³	1	4	yes	complemented
424	#397	C₂³	1	2	yes	complemented
425	#397	C₂³	1	4	yes	complemented
426	#397	C₂³	1	2	yes	complemented
427	#397	C₂³	1	4	yes	complemented
428	#397	C₂³	1	4	yes	complemented
429	#397	C₂³	1	4	yes	complemented
430	#397	C₂³	1	4	yes	complemented
431	#397	C₂³	1	4	yes	complemented
432	#397	C₂³	1	4	yes	complemented
433	#397	C₂³	1	4	yes	complemented
434	#397	C₂³	1	4	yes	complemented
435	#397	C₂³	1	4	yes	complemented
436	#397	C₂³	1	4	yes	complemented
437	#397	C₂³	1	4	yes	complemented
438	#397	C₂³	1	4	yes	complemented
439	#397	C₂³	1	2	yes	complemented
440	#397	C₂³	1	2	yes	complemented
441	#396	C₂³	1	4	yes	—
442	#396	C₂³	1	4	yes	—
443	#396	C₂³	1	2	yes	—
444	#396	C₂³	1	2	yes	—
445	#396	C₂³	1	4	yes	—
446	#396	C₂³	1	4	yes	—
447	#396	C₂³	1	4	yes	—
448	#396	C₂³	1	4	yes	—
449	#396	C₂³	1	4	yes	complemented
450	#396	C₂³	1	4	yes	complemented
451	#396	C₂³	1	4	yes	complemented
452	#396	C₂³	1	4	yes	complemented
453	#396	C₂³	1	4	yes	complemented
454	#396	C₂³	1	4	yes	complemented
455	#396	C₂³	1	4	yes	complemented
456	#396	C₂³	1	4	yes	complemented
457	#396	C₂³	1	2	yes	complemented
458	#396	C₂³	1	4	yes	complemented
459	#396	C₂³	1	4	yes	complemented
460	#396	C₂³	1	4	yes	complemented
461	#396	C₂³	1	4	yes	complemented
462	#396	C₂³	1	4	yes	complemented
463	#396	C₂³	1	4	yes	complemented
464	#395	C₂³	1	4	yes	complemented
465	#394	C₂³	1	4	yes	—
466	#394	C₂³	1	4	yes	—
467	#394	C₂³	1	4	yes	—
468	#394	C₂³	1	4	yes	—
469	#394	C₂³	1	4	yes	—
470	#394	C₂³	1	4	yes	—
471	#394	C₂³	1	4	yes	—
472	#394	C₂³	1	4	yes	—
473	#394	C₂³	1	4	yes	—
474	#394	C₂³	1	2	yes	—
475	#394	C₂³	1	2	yes	—
476	#394	C₂³	1	2	yes	—
477	#394	C₂³	1	2	yes	—
478	#394	C₂³	1	2	yes	—
479	#394	C₂³	1	2	yes	—
480	#394	C₂³	1	4	yes	complemented
481	#394	C₂³	1	4	yes	complemented
482	#394	C₂³	1	4	yes	complemented
483	#394	C₂³	1	4	yes	complemented
484	#394	C₂³	1	4	yes	complemented
485	#394	C₂³	1	4	yes	complemented
486	#394	C₂³	1	4	yes	complemented
487	#394	C₂³	1	4	yes	complemented
488	#394	C₂³	1	4	yes	complemented
489	#394	C₂³	1	4	yes	complemented
490	#394	C₂³	1	2	yes	complemented
491	#393	C₂³	1	4	yes	—
492	#393	C₂³	1	4	yes	—
493	#393	C₂³	1	2	yes	—
494	#393	C₂³	1	4	yes	—
495	#393	C₂³	1	4	yes	complemented
496	#393	C₂³	1	4	yes	complemented
497	#393	C₂³	1	4	yes	complemented
498	#393	C₂³	1	4	yes	complemented
499	#393	C₂³	1	4	yes	complemented
500	#393	C₂³	1	4	yes	complemented
501	#393	C₂³	1	4	yes	complemented
502	#393	C₂³	1	2	yes	complemented
503	#392	C₂³	1	4	yes	—
504	#392	C₂³	1	4	yes	—
505	#392	C₂³	1	4	yes	—
506	#392	C₂³	1	2	yes	—
507	#391	C₂³	1	2	yes	complemented
508	#391	C₂³	1	4	yes	complemented
509	#391	C₂³	1	2	yes	complemented
510	#391	C₂³	1	2	yes	complemented
511	#391	C₂³	1	2	yes	complemented
512	#391	C₂³	1	2	yes	complemented
513	#391	C₂³	1	1	yes	characteristic, complemented
514	#391	C₂³	1	4	yes	complemented
515	#390	C₂³	1	4	yes	—
516	#390	C₂³	1	4	yes	—
517	#390	C₂³	1	4	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	2	yes	—
523	#390	C₂³	1	2	yes	—
524	#390	C₂³	1	2	yes	—
525	#390	C₂³	1	2	yes	—
526	#390	C₂³	1	2	yes	—
527	#390	C₂³	1	2	yes	—
528	#390	C₂³	1	2	yes	—
529	#390	C₂³	1	2	yes	—
530	#390	C₂³	1	4	yes	complemented
531	#390	C₂³	1	1	yes	characteristic, complemented
532	#390	C₂³	1	4	yes	complemented
533	#389	C₂³	1	4	yes	complemented
534	#389	C₂³	1	4	yes	complemented
535	#389	C₂³	1	2	yes	complemented
536	#389	C₂³	1	4	yes	complemented
537	#389	C₂³	1	2	yes	complemented
538	#389	C₂³	1	2	yes	complemented
539	#389	C₂³	1	2	yes	complemented
540	#389	C₂³	1	2	yes	complemented
541	#389	C₂³	1	2	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	1	yes	characteristic, complemented
546	#389	C₂³	1	4	yes	complemented
547	#389	C₂³	1	1	yes	characteristic, complemented
548	#388	C₂³	1	4	yes	—
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	complemented
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	2	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	2	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	2	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	#387	C₂³	1	4	yes	complemented
580	#387	C₂³	1	2	yes	complemented
581	#387	C₂³	1	2	yes	complemented
582	#387	C₂³	1	4	yes	complemented
583	#387	C₂³	1	4	yes	complemented
584	#387	C₂³	1	4	yes	complemented
585	#387	C₂³	1	4	yes	complemented
586	#387	C₂³	1	2	yes	complemented
587	#387	C₂³	1	4	yes	complemented
588	#387	C₂³	1	4	yes	complemented
589	#386	C₂³	1	4	yes	—
590	#386	C₂³	1	4	yes	—
591	#386	C₂³	1	4	yes	—
592	#386	C₂³	1	4	yes	—
593	#386	C₂³	1	4	yes	—
594	#386	C₂³	1	4	yes	—
595	#386	C₂³	1	4	yes	—
596	#386	C₂³	1	4	yes	—
597	#386	C₂³	1	4	yes	—
598	#386	C₂³	1	4	yes	—
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	2	yes	—
607	#386	C₂³	1	2	yes	—
608	#386	C₂³	1	2	yes	—
609	#386	C₂³	1	2	yes	—
610	#386	C₂³	1	2	yes	—
611	#386	C₂³	1	2	yes	—
612	#386	C₂³	1	4	yes	complemented
613	#386	C₂³	1	4	yes	complemented
614	#386	C₂³	1	4	yes	complemented
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	#385	C₂³	1	4	yes	—
621	#385	C₂³	1	4	yes	—
622	#385	C₂³	1	4	yes	—
623	#385	C₂³	1	4	yes	—
624	#385	C₂³	1	2	yes	—
625	#385	C₂³	1	4	yes	—
626	#385	C₂³	1	4	yes	—
627	#385	C₂³	1	2	yes	—
628	#385	C₂³	1	4	yes	—
629	#385	C₂³	1	2	yes	—
630	#385	C₂³	1	2	yes	—
631	#385	C₂³	1	2	yes	—
632	#385	C₂³	1	2	yes	—
633	#385	C₂³	1	4	yes	complemented
634	#385	C₂³	1	4	yes	complemented
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	2	yes	complemented
648	#384	C₂³	1	1	yes	characteristic, complemented
649	#384	C₂³	1	1	yes	characteristic, complemented
650	#384	C₂³	1	2	yes	complemented
651	#382	C₂³	1	4	yes	complemented
652	#381	C₂³	1	4	yes	complemented
653	#381	C₂³	1	4	yes	complemented
654	#380	C₂³	1	2	yes	—
655	#380	C₂³	1	2	yes	—
656	#380	C₂³	1	2	yes	—
657	#380	C₂³	1	2	yes	—
658	#380	C₂³	1	1	yes	characteristic
659	#380	C₂³	1	2	yes	—
660	#380	C₂³	1	2	yes	—
661	#380	C₂³	1	2	yes	—
662	#380	C₂³	1	2	yes	—
663	#380	C₂³	1	4	yes	—
664	#380	C₂³	1	1	yes	characteristic
665	#380	C₂³	1	4	yes	—
666	#380	C₂³	1	2	yes	complemented
667	#380	C₂³	1	2	yes	complemented
668	#380	C₂³	1	4	yes	complemented
669	#380	C₂³	1	2	yes	complemented
670	#380	C₂³	1	2	yes	complemented
671	#380	C₂³	1	2	yes	complemented
672	#380	C₂³	1	2	yes	complemented
673	#380	C₂³	1	4	yes	complemented
674	#380	C₂³	1	2	yes	complemented
675	#380	C₂³	1	4	yes	complemented
676	#380	C₂³	1	2	yes	complemented
677	#380	C₂³	1	4	yes	complemented
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	4	yes	—
684	#379	C₂³	1	4	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	2	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	#379	C₂³	1	4	yes	—
696	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
697	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
698	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
699	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
700	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
701	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
702	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
703	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
704	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
705	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
706	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
707	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
708	C₄×C₂²⋊C₄	C₂³	1	2	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	4	yes	complemented
714	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
715	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
717	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
718	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
719	#376	C₂³	1	2	yes	complemented
720	C₂×#95	C₂³	1	1	yes	characteristic
721	C₂×#95	C₂³	1	1	yes	characteristic
722	C₂×#95	C₂³	1	2	yes	—
723	C₂×#95	C₂³	1	4	yes	complemented
724	C₂×#95	C₂³	1	4	yes	complemented
725	C₂×#95	C₂³	1	4	yes	complemented
726	C₂⁵	—	2	8	no	—
727	C₂⁵	—	2	8	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	4	yes	—
734	C₂⁵	C₂⁴	1	2	yes	—
735	C₂⁵	C₂⁴	1	2	yes	—
736	C₂⁵	C₂⁴	1	4	yes	—
737	C₂⁵	C₂⁴	1	1	yes	characteristic
738	C₂×#41	—	2	8	no	—
739	C₂×#41	—	2	8	no	—
740	C₂×#41	—	2	8	no	—
741	C₂²×Q₈	—	4	4	no	—
742	C₂²×Q₈	—	4	4	no	—
743	C₂²×Q₈	—	8	2	no	—
744	C₂²×Q₈	C₂⁴	1	2	yes	—
745	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
746	C₂²×Q₈	C₂⁴	1	2	yes	—
747	C₂²×Q₈	C₂⁴	1	4	yes	—
748	C₂²×D₄	—	2	4	no	—
749	C₂²×D₄	—	2	4	no	—
750	C₂²×D₄	—	2	8	no	—
751	C₂²×D₄	—	2	16	no	—
752	C₂²×D₄	—	2	8	no	—
753	C₂²×D₄	—	2	8	no	—
754	C₂²×D₄	—	2	8	no	—
755	C₂²×D₄	—	2	8	no	—
756	C₂²×D₄	—	2	4	no	—
757	C₂²×D₄	—	4	2	no	—
758	C₂²×D₄	—	4	2	no	—
759	C₂²×D₄	—	4	4	no	—
760	C₂²×D₄	—	4	4	no	—
761	C₂²×D₄	—	4	8	no	—
762	C₂²×D₄	—	4	8	no	—
763	C₂²×D₄	—	4	4	no	—
764	C₂²×D₄	—	4	4	no	—
765	C₂²×D₄	—	4	64	no	—
766	C₂²×D₄	#41	1	8	yes	—
767	C₂²×D₄	C₂⁴	1	2	yes	—
768	C₂²×D₄	C₂⁴	1	4	yes	—
769	C₂²×D₄	C₂⁴	1	4	yes	—
770	C₂²×D₄	C₂⁴	1	2	yes	—
771	C₂²×D₄	C₂⁴	1	2	yes	—
772	C₂²×D₄	C₂⁴	1	1	yes	characteristic
773	C₂²×D₄	C₂⁴	1	2	yes	—
774	C₂²×D₄	C₂⁴	1	2	yes	—
775	C₂²×D₄	C₂⁴	1	4	yes	—
776	C₂²×D₄	C₂⁴	1	1	yes	characteristic
777	C₂²×D₄	C₂⁴	1	4	yes	—
778	C₂²×D₄	C₂⁴	1	2	yes	—
779	C₂²×D₄	C₂⁴	1	4	yes	—
780	C₂²×D₄	C₂⁴	1	4	yes	—
781	C₂²×D₄	C₂⁴	1	1	yes	characteristic
782	C₂³×C₄	—	2	4	no	—
783	C₂³×C₄	—	2	8	no	—
784	C₂³×C₄	—	4	2	no	—
785	C₂³×C₄	—	4	2	no	—
786	C₂³×C₄	—	4	4	no	—
787	C₂³×C₄	—	4	4	no	—
788	C₂³×C₄	—	4	4	no	—
789	C₂³×C₄	—	8	2	no	—
790	C₂³×C₄	—	8	2	no	—
791	C₂³×C₄	C₂⁴	1	4	yes	—
792	C₂³×C₄	C₂⁴	1	2	yes	—
793	C₂³×C₄	C₂⁴	1	2	yes	—
794	C₂³×C₄	C₂⁴	1	2	yes	—
795	C₂³×C₄	C₂⁴	1	2	yes	—
796	C₂³×C₄	C₂⁴	1	1	yes	characteristic
797	C₂³×C₄	C₂⁴	1	1	yes	characteristic
798	C₂³×C₄	C₂⁴	1	1	yes	characteristic
799	C₂³×C₄	C₂⁴	1	2	yes	—
800	C₂³×C₄	C₂⁴	1	2	yes	—
801	C₂³×C₄	C₂⁴	1	4	yes	—
802	C₂³×C₄	C₂⁴	1	4	yes	—
803	C₂³×C₄	C₂⁴	1	4	yes	—
804	C₂³×C₄	C₂⁴	1	1	yes	characteristic
805	C₂³×C₄	C₂⁴	1	4	yes	—
806	C₂³×C₄	C₂⁴	1	2	yes	—
807	C₂³×C₄	C₂⁴	1	2	yes	—
808	C₂³×C₄	C₂⁴	1	1	yes	characteristic
809	C₂³×C₄	C₂⁴	1	2	yes	—
810	C₂³×C₄	C₂⁴	1	4	yes	—
811	C₂³×C₄	C₂⁴	1	4	yes	—
812	C₂³×C₄	C₂⁴	1	1	yes	characteristic
813	C₄⋊Q₈	—	4	2	no	—
814	C₄⋊Q₈	—	4	4	no	—
815	C₄⋊Q₈	—	4	2	no	—
816	#126	—	4	8	no	—
817	#126	—	8	4	no	—
818	#126	—	8	4	no	—
819	#124	—	2	8	no	—
820	#124	—	4	4	no	—
821	#124	—	4	4	no	—
822	#124	—	4	8	no	—
823	#124	—	8	4	no	—
824	#123	—	2	16	no	—
825	#123	—	4	8	no	—
826	#123	—	4	8	no	—
827	#123	—	4	8	no	—
828	#123	—	4	8	no	—
829	#123	—	8	4	no	—
830	C₂²⋊Q₈	—	2	8	no	—
831	C₂²⋊Q₈	—	2	4	no	—
832	C₂²⋊Q₈	—	2	8	no	—
833	C₂²⋊Q₈	—	4	8	no	—
834	C₂²⋊Q₈	—	4	8	no	—
835	C₂²⋊Q₈	—	4	4	no	—
836	C₂²⋊Q₈	—	4	8	no	—
837	C₂²⋊Q₈	—	4	4	no	—
838	C₂²⋊Q₈	—	4	4	no	—
839	C₂²⋊Q₈	—	4	4	no	—
840	C₂²⋊Q₈	—	4	4	no	—
841	C₂²⋊Q₈	—	4	4	no	—
842	C₂²⋊Q₈	—	8	2	no	—
843	#121	—	2	8	no	—
844	#121	—	2	16	no	—
845	#121	—	2	4	no	—
846	#121	—	4	8	no	—
847	#121	—	4	4	no	—
848	#121	—	4	4	no	—
849	#121	—	4	8	no	—
850	#121	—	4	8	no	—
851	#121	—	4	4	no	—
852	#121	—	8	2	no	—
853	#120	—	2	16	no	—
854	#120	—	2	8	no	—
855	#120	—	4	8	no	—
856	#120	—	4	8	no	—
857	#120	—	4	8	no	—
858	#120	—	8	4	no	—
859	#120	—	8	4	no	—
860	C₄×Q₈	—	4	2	no	—
861	C₄×Q₈	—	4	4	no	—
862	C₄×Q₈	—	4	4	no	—
863	C₄×D₄	—	2	8	no	—
864	C₄×D₄	—	2	8	no	—
865	C₄×D₄	—	2	4	no	—
866	C₄×D₄	—	2	4	no	—
867	C₄×D₄	—	2	8	no	—
868	C₄×D₄	—	2	8	no	—
869	C₄×D₄	—	2	8	no	—
870	C₄×D₄	—	4	4	no	—
871	C₄×D₄	—	4	2	no	—
872	C₄×D₄	—	4	2	no	—
873	C₄×D₄	—	4	4	no	—
874	C₄×D₄	—	4	4	no	—
875	C₄×D₄	—	4	2	no	—
876	C₄×D₄	—	4	8	no	—
877	C₄×D₄	—	4	4	no	—
878	C₄×D₄	—	4	4	no	—
879	C₄×D₄	—	4	8	no	—
880	C₄×D₄	—	4	8	no	—
881	C₄×D₄	—	4	8	no	—
882	C₄×D₄	—	8	4	no	—
883	#117	—	4	4	no	—
884	#117	—	4	8	no	—
885	C₂×C₄⋊C₄	—	4	2	no	—
886	C₂×C₄⋊C₄	—	4	2	no	—
887	C₂×C₄⋊C₄	—	4	4	no	—
888	C₂×C₄⋊C₄	—	4	8	no	—
889	C₂×C₄⋊C₄	—	4	4	no	—
890	C₂×C₄⋊C₄	—	4	8	no	—
891	C₂×C₄⋊C₄	—	4	4	no	—
892	C₂×C₄⋊C₄	—	8	4	no	—
893	C₂×C₄⋊C₄	—	8	2	no	—
894	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
895	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
898	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
901	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
902	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
903	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
904	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
905	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
908	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
909	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
910	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
911	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
914	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
915	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
918	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
920	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
921	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
923	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
924	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
925	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
926	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
933	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
934	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
935	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
941	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₂×C₂²⋊C₄	—	2	16	no	—
944	C₂×C₂²⋊C₄	—	2	4	no	—
945	C₂×C₂²⋊C₄	—	2	4	no	—
946	C₂×C₂²⋊C₄	—	2	8	no	—
947	C₂×C₂²⋊C₄	—	4	8	no	—
948	C₂×C₂²⋊C₄	—	4	8	no	—
949	C₂×C₂²⋊C₄	—	4	8	no	—
950	C₂×C₂²⋊C₄	—	4	8	no	—
951	C₂×C₂²⋊C₄	—	4	4	no	—
952	C₂×C₂²⋊C₄	—	4	4	no	—
953	C₂×C₂²⋊C₄	—	4	8	no	—
954	C₂×C₂²⋊C₄	—	4	4	no	—
955	C₂×C₂²⋊C₄	—	4	4	no	—
956	C₂×C₂²⋊C₄	—	4	8	no	—
957	C₂×C₂²⋊C₄	—	4	8	no	—
958	C₂×C₂²⋊C₄	—	8	4	no	—
959	C₂×C₂²⋊C₄	—	8	4	no	—
960	C₂×C₂²⋊C₄	—	8	2	no	—
961	C₂×C₂²⋊C₄	—	8	2	no	—
962	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
965	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
968	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
971	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
972	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
973	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
974	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
975	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	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	2	yes	—
985	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1034	C₂×C₄²	—	4	2	no	—
1035	C₂×C₄²	—	4	2	no	—
1036	C₂×C₄²	C₂⁴	1	2	yes	—
1037	C₂×C₄²	C₂⁴	1	2	yes	—
1038	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1039	C₂×C₄²	C₂⁴	1	2	yes	—
1040	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1041	C₂×C₄²	C₂⁴	1	2	yes	—
1042	C₂×C₄²	C₂⁴	1	4	yes	—
1043	C₂×C₄²	C₂⁴	1	4	yes	—
1044	C₂×C₄²	C₂⁴	1	2	yes	—
1045	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1046	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1047	C₂×C₄²	C₂⁴	1	4	yes	—
1048	C₂×C₄²	C₂⁴	1	4	yes	—
1049	C₂×C₄²	C₂⁴	1	4	yes	—
1050	#95	C₂⁴	1	2	yes	—
1051	#95	C₂⁴	1	2	yes	—
1052	#95	C₂⁴	1	2	yes	—
1053	#95	C₂⁴	1	2	yes	—
1054	#95	C₂⁴	1	4	yes	—
1055	#95	C₂⁴	1	4	yes	—
1056	#95	C₂⁴	1	2	yes	—
1057	#95	C₂⁴	1	2	yes	—
1058	#95	C₂⁴	1	2	yes	—
1059	#95	C₂⁴	1	4	yes	—
1060	#95	C₂⁴	1	4	yes	—
1061	#95	C₂⁴	1	4	yes	—
1062	#95	C₂⁴	1	4	yes	—
1063	#95	C₂⁴	1	4	yes	—
1064	#95	C₂⁴	1	4	yes	—
1065	#95	C₂⁴	1	4	yes	—
1066	#95	C₂⁴	1	4	yes	—
1067	#95	C₂⁴	1	4	yes	—
1068	#95	C₂⁴	1	2	yes	—
1069	#95	C₂⁴	1	2	yes	—
1070	#95	C₂⁴	1	2	yes	—
1071	#95	C₂⁴	1	4	yes	—
1072	#95	C₂⁴	1	4	yes	—
1073	#95	C₂⁴	1	4	yes	—
1074	#95	C₂⁴	1	4	yes	—
1075	#95	C₂⁴	1	2	yes	—
1076	#95	C₂⁴	1	2	yes	—
1077	#95	C₂⁴	1	2	yes	—
1078	#95	C₂⁴	1	2	yes	—
1079	#95	C₂⁴	1	2	yes	—
1080	#95	C₂⁴	1	2	yes	—
1081	#95	C₂⁴	1	2	yes	—
1082	#95	C₂⁴	1	2	yes	—
1083	#95	C₂⁴	1	2	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	2	yes	—
1089	#95	C₂⁴	1	2	yes	—
1090	#95	C₂⁴	1	4	yes	—
1091	#95	C₂⁴	1	4	yes	—
1092	#95	C₂⁴	1	4	yes	—
1093	#95	C₂⁴	1	4	yes	—
1094	#95	C₂⁴	1	4	yes	—
1095	#95	C₂⁴	1	4	yes	—
1096	#95	C₂⁴	1	4	yes	—
1097	#95	C₂⁴	1	4	yes	—
1098	C₂⁴	—	2	2	no	—
1099	C₂⁴	—	2	2	no	—
1100	C₂⁴	—	2	4	no	—
1101	C₂⁴	—	2	4	no	—
1102	C₂⁴	—	2	4	no	—
1103	C₂⁴	—	2	4	no	—
1104	C₂⁴	—	2	4	no	—
1105	C₂⁴	—	2	8	no	—
1106	C₂⁴	—	2	8	no	—
1107	C₂⁴	—	2	8	no	—
1108	C₂⁴	—	2	8	no	—
1109	C₂⁴	—	2	8	no	—
1110	C₂⁴	—	2	4	no	—
1111	C₂⁴	—	2	8	no	—
1112	C₂⁴	—	2	4	no	—
1113	C₂⁴	—	4	1	no	—
1114	C₂⁴	—	4	1	no	—
1115	C₂⁴	—	4	2	no	—
1116	C₂⁴	—	4	2	no	—
1117	C₂⁴	—	4	1	no	—
1118	C₂⁴	—	4	1	no	—
1119	C₂⁴	—	4	4	no	—
1120	C₂⁴	—	4	4	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	32	no	—
1132	C₂⁴	—	4	32	no	—
1133	C₂⁴	—	8	16	no	—
1134	C₂⁴	—	8	16	no	—
1135	C₂⁴	—	8	16	no	—
1136	C₂⁴	—	8	16	no	—
1137	C₂⁴	—	8	16	no	—
1138	C₂⁴	C₂×#41	1	8	yes	—
1139	C₂⁴	2₋¹⁺⁴	1	4	yes	—
1140	C₂⁴	C₂⁵	1	4	yes	—
1141	C₂⁴	C₂⁵	1	2	yes	—
1142	C₂⁴	C₂⁵	1	2	yes	—
1143	C₂⁴	C₂⁵	1	2	yes	—
1144	C₂⁴	C₂⁵	1	2	yes	—
1145	C₂⁴	C₂⁵	1	1	yes	characteristic
1146	#41	—	4	32	no	—
1147	C₂×Q₈	—	2	4	no	—
1148	C₂×Q₈	—	2	4	no	—
1149	C₂×Q₈	—	2	2	no	—
1150	C₂×Q₈	—	2	4	no	—
1151	C₂×Q₈	—	2	4	no	—
1152	C₂×Q₈	—	4	1	no	—
1153	C₂×Q₈	—	4	1	no	—
1154	C₂×Q₈	—	4	4	no	—
1155	C₂×Q₈	—	4	2	no	—
1156	C₂×Q₈	—	4	4	no	—
1157	C₂×Q₈	—	4	2	no	—
1158	C₂×Q₈	—	4	4	no	—
1159	C₂×Q₈	—	8	16	no	—
1160	C₂×D₄	—	2	4	no	—
1161	C₂×D₄	—	2	4	no	—
1162	C₂×D₄	—	2	32	no	—
1163	C₂×D₄	—	2	4	no	—
1164	C₂×D₄	—	2	8	no	—
1165	C₂×D₄	—	2	8	no	—
1166	C₂×D₄	—	2	8	no	—
1167	C₂×D₄	—	2	4	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	4	no	—
1173	C₂×D₄	—	2	8	no	—
1174	C₂×D₄	—	2	4	no	—
1175	C₂×D₄	—	2	4	no	—
1176	C₂×D₄	—	2	4	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	4	no	—
1182	C₂×D₄	—	2	2	no	—
1183	C₂×D₄	—	4	2	no	—
1184	C₂×D₄	—	4	2	no	—
1185	C₂×D₄	—	4	4	no	—
1186	C₂×D₄	—	4	4	no	—
1187	C₂×D₄	—	4	16	no	—
1188	C₂×D₄	—	4	2	no	—
1189	C₂×D₄	—	4	2	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	4	no	—
1192	C₂×D₄	—	4	2	no	—
1193	C₂×D₄	—	4	2	no	—
1194	C₂×D₄	—	4	4	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	4	no	—
1197	C₂×D₄	—	4	4	no	—
1198	C₂×D₄	—	4	4	no	—
1199	C₂×D₄	—	4	4	no	—
1200	C₂×D₄	—	4	4	no	—
1201	C₂×D₄	—	4	4	no	—
1202	C₂×D₄	—	4	64	no	—
1203	C₂×D₄	—	4	32	no	—
1204	C₂×D₄	—	4	32	no	—
1205	C₂×D₄	—	4	32	no	—
1206	C₂×D₄	C₂×#41	1	8	yes	—
1207	C₂×D₄	C₂×#41	1	4	yes	—
1208	C₂×D₄	C₂×#41	1	4	yes	—
1209	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1210	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	8	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	8	no	—
1217	C₂²×C₄	—	2	8	no	—
1218	C₂²×C₄	—	2	4	no	—
1219	C₂²×C₄	—	2	4	no	—
1220	C₂²×C₄	—	2	8	no	—
1221	C₂²×C₄	—	2	4	no	—
1222	C₂²×C₄	—	2	4	no	—
1223	C₂²×C₄	—	2	8	no	—
1224	C₂²×C₄	—	2	8	no	—
1225	C₂²×C₄	—	2	8	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	4	no	—
1229	C₂²×C₄	—	2	4	no	—
1230	C₂²×C₄	—	2	4	no	—
1231	C₂²×C₄	—	2	4	no	—
1232	C₂²×C₄	—	2	4	no	—
1233	C₂²×C₄	—	2	4	no	—
1234	C₂²×C₄	—	2	4	no	—
1235	C₂²×C₄	—	2	4	no	—
1236	C₂²×C₄	—	2	4	no	—
1237	C₂²×C₄	—	2	4	no	—
1238	C₂²×C₄	—	2	4	no	—
1239	C₂²×C₄	—	4	1	no	—
1240	C₂²×C₄	—	4	1	no	—
1241	C₂²×C₄	—	4	2	no	—
1242	C₂²×C₄	—	4	2	no	—
1243	C₂²×C₄	—	4	2	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	4	1	no	—
1247	C₂²×C₄	—	4	1	no	—
1248	C₂²×C₄	—	4	2	no	—
1249	C₂²×C₄	—	4	1	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	4	no	—
1252	C₂²×C₄	—	4	4	no	—
1253	C₂²×C₄	—	4	4	no	—
1254	C₂²×C₄	—	4	2	no	—
1255	C₂²×C₄	—	4	2	no	—
1256	C₂²×C₄	—	4	4	no	—
1257	C₂²×C₄	—	4	1	no	—
1258	C₂²×C₄	—	4	1	no	—
1259	C₂²×C₄	—	4	4	no	—
1260	C₂²×C₄	—	4	4	no	—
1261	C₂²×C₄	—	4	4	no	—
1262	C₂²×C₄	—	4	2	no	—
1263	C₂²×C₄	—	4	2	no	—
1264	C₂²×C₄	—	4	4	no	—
1265	C₂²×C₄	—	4	4	no	—
1266	C₂²×C₄	—	4	2	no	—
1267	C₂²×C₄	—	4	2	no	—
1268	C₂²×C₄	—	4	4	no	—
1269	C₂²×C₄	—	4	4	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	16	no	—
1276	C₂²×C₄	—	8	16	no	—
1277	C₂²×C₄	—	8	16	no	—
1278	C₂²×C₄	C₂×#41	1	4	yes	—
1279	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1280	C₂²×C₄	C₂⁵	1	2	yes	—
1281	C₂²×C₄	C₂⁵	1	2	yes	—
1282	C₂²×C₄	C₂⁵	1	2	yes	—
1283	C₂²×C₄	C₂⁵	1	2	yes	—
1284	C₂²×C₄	C₂⁵	1	2	yes	—
1285	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁵	1	4	yes	—
1288	C₂²×C₄	C₂⁵	1	2	yes	—
1289	C₂²×C₄	C₂⁵	1	2	yes	—
1290	C₂²×C₄	C₂⁵	1	2	yes	—
1291	C₂²×C₄	C₂⁵	1	2	yes	—
1292	C₂²×C₄	C₂⁵	1	4	yes	—
1293	C₂²×C₄	C₂⁵	1	4	yes	—
1294	C₂²×C₄	C₂⁵	1	4	yes	—
1295	C₂²×C₄	C₂⁵	1	2	yes	—
1296	C₂²×C₄	C₂⁵	1	4	yes	—
1297	C₂²×C₄	C₂⁵	1	2	yes	—
1298	C₂²×C₄	C₂⁵	1	2	yes	—
1299	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1300	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1301	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1302	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1303	C₄⋊C₄	—	2	4	no	—
1304	C₄⋊C₄	—	2	4	no	—
1305	C₄⋊C₄	—	2	8	no	—
1306	C₄⋊C₄	—	2	4	no	—
1307	C₄⋊C₄	—	2	2	no	—
1308	C₄⋊C₄	—	2	4	no	—
1309	C₄⋊C₄	—	2	2	no	—
1310	C₄⋊C₄	—	2	2	no	—
1311	C₄⋊C₄	—	2	4	no	—
1312	C₄⋊C₄	—	2	8	no	—
1313	C₄⋊C₄	—	2	4	no	—
1314	C₄⋊C₄	—	2	4	no	—
1315	C₄⋊C₄	—	2	2	no	—
1316	C₄⋊C₄	—	4	2	no	—
1317	C₄⋊C₄	—	4	4	no	—
1318	C₄⋊C₄	—	4	1	no	—
1319	C₄⋊C₄	—	4	2	no	—
1320	C₄⋊C₄	—	4	2	no	—
1321	C₄⋊C₄	—	4	4	no	—
1322	C₄⋊C₄	—	4	4	no	—
1323	C₄⋊C₄	—	4	2	no	—
1324	C₄⋊C₄	—	4	4	no	—
1325	C₄⋊C₄	—	4	4	no	—
1326	C₄⋊C₄	—	4	4	no	—
1327	C₄⋊C₄	—	4	4	no	—
1328	C₄⋊C₄	—	4	1	no	—
1329	C₄⋊C₄	—	4	2	no	—
1330	C₄⋊C₄	—	4	4	no	—
1331	C₄⋊C₄	—	4	2	no	—
1332	C₄⋊C₄	—	4	4	no	—
1333	C₄⋊C₄	—	4	4	no	—
1334	C₄⋊C₄	—	4	4	no	—
1335	C₄⋊C₄	—	4	2	no	—
1336	C₄⋊C₄	—	4	2	no	—
1337	C₄⋊C₄	—	4	2	no	—
1338	C₄⋊C₄	—	4	4	no	—
1339	C₄⋊C₄	—	4	1	no	—
1340	C₄⋊C₄	—	4	2	no	—
1341	C₄⋊C₄	—	4	4	no	—
1342	C₄⋊C₄	—	4	4	no	—
1343	C₄⋊C₄	—	4	2	no	—
1344	C₄⋊C₄	—	4	4	no	—
1345	C₄⋊C₄	—	4	1	no	—
1346	C₄⋊C₄	—	4	4	no	—
1347	C₄⋊C₄	—	4	2	no	—
1348	C₄⋊C₄	—	4	2	no	—
1349	C₄⋊C₄	—	4	2	no	—
1350	C₄⋊C₄	—	4	2	no	—
1351	C₄⋊C₄	—	4	2	no	—
1352	C₂²⋊C₄	—	2	4	no	—
1353	C₂²⋊C₄	—	2	8	no	—
1354	C₂²⋊C₄	—	2	8	no	—
1355	C₂²⋊C₄	—	2	8	no	—
1356	C₂²⋊C₄	—	2	8	no	—
1357	C₂²⋊C₄	—	2	8	no	—
1358	C₂²⋊C₄	—	2	4	no	—
1359	C₂²⋊C₄	—	2	8	no	—
1360	C₂²⋊C₄	—	2	4	no	—
1361	C₂²⋊C₄	—	2	4	no	—
1362	C₂²⋊C₄	—	2	8	no	—
1363	C₂²⋊C₄	—	2	8	no	—
1364	C₂²⋊C₄	—	2	8	no	—
1365	C₂²⋊C₄	—	2	4	no	—
1366	C₂²⋊C₄	—	2	4	no	—
1367	C₂²⋊C₄	—	2	4	no	—
1368	C₂²⋊C₄	—	2	4	no	—
1369	C₂²⋊C₄	—	2	4	no	—
1370	C₂²⋊C₄	—	2	4	no	—
1371	C₂²⋊C₄	—	2	4	no	—
1372	C₂²⋊C₄	—	2	4	no	—
1373	C₂²⋊C₄	—	2	8	no	—
1374	C₂²⋊C₄	—	2	8	no	—
1375	C₂²⋊C₄	—	2	4	no	—
1376	C₂²⋊C₄	—	4	4	no	—
1377	C₂²⋊C₄	—	4	4	no	—
1378	C₂²⋊C₄	—	4	4	no	—
1379	C₂²⋊C₄	—	4	4	no	—
1380	C₂²⋊C₄	—	4	2	no	—
1381	C₂²⋊C₄	—	4	2	no	—
1382	C₂²⋊C₄	—	4	4	no	—
1383	C₂²⋊C₄	—	4	2	no	—
1384	C₂²⋊C₄	—	4	2	no	—
1385	C₂²⋊C₄	—	4	4	no	—
1386	C₂²⋊C₄	—	4	4	no	—
1387	C₂²⋊C₄	—	4	4	no	—
1388	C₂²⋊C₄	—	4	4	no	—
1389	C₂²⋊C₄	—	4	4	no	—
1390	C₂²⋊C₄	—	4	4	no	—
1391	C₂²⋊C₄	—	4	4	no	—
1392	C₂²⋊C₄	—	4	4	no	—
1393	C₂²⋊C₄	—	4	2	no	—
1394	C₂²⋊C₄	—	4	2	no	—
1395	C₂²⋊C₄	—	4	4	no	—
1396	C₂²⋊C₄	—	4	4	no	—
1397	C₂²⋊C₄	—	4	4	no	—
1398	C₂²⋊C₄	—	4	4	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	2	no	—
1406	C₂²⋊C₄	—	4	2	no	—
1407	C₂²⋊C₄	—	4	2	no	—
1408	C₂²⋊C₄	—	4	2	no	—
1409	C₂²⋊C₄	—	4	4	no	—
1410	C₂²⋊C₄	—	4	2	no	—
1411	C₂²⋊C₄	—	4	2	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	4	no	—
1420	C₂²⋊C₄	—	4	4	no	—
1421	C₂²⋊C₄	—	4	4	no	—
1422	C₂²⋊C₄	—	4	2	no	—
1423	C₂²⋊C₄	—	4	2	no	—
1424	C₄²	—	2	4	no	—
1425	C₄²	—	2	4	no	—
1426	C₄²	—	2	2	no	—
1427	C₄²	—	2	2	no	—
1428	C₄²	—	2	4	no	—
1429	C₄²	—	2	4	no	—
1430	C₄²	—	4	1	no	—
1431	C₄²	—	4	1	no	—
1432	C₄²	—	4	2	no	—
1433	C₄²	—	4	4	no	—
1434	C₄²	—	4	4	no	—
1435	C₄²	—	4	4	no	—
1436	C₄²	—	4	4	no	—
1437	C₄²	—	4	4	no	—
1438	C₂³	—	2	2	no	—
1439	C₂³	—	2	1	no	—
1440	C₂³	—	2	1	no	—
1441	C₂³	—	2	2	no	—
1442	C₂³	—	2	2	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	2	1	no	—
1445	C₂³	—	2	1	no	—
1446	C₂³	—	2	2	no	—
1447	C₂³	—	2	2	no	—
1448	C₂³	—	2	2	no	—
1449	C₂³	—	2	2	no	—
1450	C₂³	—	2	2	no	—
1451	C₂³	—	2	2	no	—
1452	C₂³	—	2	2	no	—
1453	C₂³	—	2	2	no	—
1454	C₂³	—	2	2	no	—
1455	C₂³	—	2	2	no	—
1456	C₂³	—	2	2	no	—
1457	C₂³	—	2	2	no	—
1458	C₂³	—	2	16	no	—
1459	C₂³	—	2	8	no	—
1460	C₂³	—	2	16	no	—
1461	C₂³	—	2	2	no	—
1462	C₂³	—	2	4	no	—
1463	C₂³	—	2	4	no	—
1464	C₂³	—	2	2	no	—
1465	C₂³	—	2	2	no	—
1466	C₂³	—	2	2	no	—
1467	C₂³	—	2	4	no	—
1468	C₂³	—	2	4	no	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	4	no	—
1471	C₂³	—	2	4	no	—
1472	C₂³	—	2	4	no	—
1473	C₂³	—	2	2	no	—
1474	C₂³	—	2	2	no	—
1475	C₂³	—	4	4	no	—
1476	C₂³	—	4	4	no	—
1477	C₂³	—	4	8	no	—
1478	C₂³	—	4	8	no	—
1479	C₂³	—	4	8	no	—
1480	C₂³	—	4	8	no	—
1481	C₂³	—	4	8	no	—
1482	C₂³	—	4	16	no	—
1483	C₂³	—	4	16	no	—
1484	C₂³	—	4	16	no	—
1485	C₂³	—	4	16	no	—
1486	C₂³	—	4	4	no	—
1487	C₂³	—	4	4	no	—
1488	C₂³	—	4	4	no	—
1489	C₂³	—	4	4	no	—
1490	C₂³	—	4	8	no	—
1491	C₂³	—	4	16	no	—
1492	C₂³	—	4	8	no	—
1493	C₂³	—	4	16	no	—
1494	C₂³	—	4	8	no	—
1495	C₂³	—	8	8	no	—
1496	C₂³	—	8	8	no	—
1497	C₂³	—	8	4	no	—
1498	C₂³	—	8	4	no	—
1499	C₂³	—	8	4	no	—
1500	C₂³	—	8	4	no	—
1501	C₂³	—	8	8	no	—
1502	C₂³	—	8	8	no	—
1503	C₂³	—	8	8	no	—
1504	C₂³	—	8	8	no	—
1505	C₂³	—	8	8	no	—
1506	C₂³	—	8	8	no	—
1507	C₂³	—	8	128	no	—
1508	C₂³	C₂²×#41	1	4	yes	—
1509	C₂³	C₂²×#41	1	4	yes	—
1510	C₂³	C₂²×#41	1	2	yes	—
1511	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1512	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1513	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1514	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1515	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1516	C₂³	C₂⁶	1	1	yes	characteristic
1517	Q₈	—	4	4	no	—
1518	Q₈	—	4	8	no	—
1519	Q₈	—	8	4	no	—
1520	Q₈	—	8	8	no	—
1521	D₄	—	2	16	no	—
1522	D₄	—	2	8	no	—
1523	D₄	—	4	8	no	—
1524	D₄	—	4	16	no	—
1525	D₄	—	4	16	no	—
1526	D₄	—	4	16	no	—
1527	D₄	—	4	8	no	—
1528	D₄	—	4	8	no	—
1529	D₄	—	8	2	no	—
1530	D₄	—	8	8	no	—
1531	D₄	—	8	4	no	—
1532	D₄	—	8	4	no	—
1533	D₄	—	16	4	no	—
1534	D₄	—	16	4	no	—
1535	D₄	#538	1	16	yes	complemented
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	8	no	—
1543	C₂×C₄	—	2	2	no	—
1544	C₂×C₄	—	2	2	no	—
1545	C₂×C₄	—	2	4	no	—
1546	C₂×C₄	—	2	2	no	—
1547	C₂×C₄	—	2	4	no	—
1548	C₂×C₄	—	2	2	no	—
1549	C₂×C₄	—	2	2	no	—
1550	C₂×C₄	—	2	2	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	2	no	—
1554	C₂×C₄	—	2	2	no	—
1555	C₂×C₄	—	2	2	no	—
1556	C₂×C₄	—	2	2	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	4	no	—
1559	C₂×C₄	—	2	4	no	—
1560	C₂×C₄	—	2	4	no	—
1561	C₂×C₄	—	2	4	no	—
1562	C₂×C₄	—	2	4	no	—
1563	C₂×C₄	—	2	2	no	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	2	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	2	no	—
1572	C₂×C₄	—	2	4	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	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	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	1	no	—
1590	C₂×C₄	—	2	1	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	4	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	2	no	—
1600	C₂×C₄	—	4	4	no	—
1601	C₂×C₄	—	4	8	no	—
1602	C₂×C₄	—	4	8	no	—
1603	C₂×C₄	—	4	8	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	—	4	4	no	—
1606	C₂×C₄	—	4	16	no	—
1607	C₂×C₄	—	4	8	no	—
1608	C₂×C₄	—	4	8	no	—
1609	C₂×C₄	—	8	4	no	—
1610	C₂×C₄	—	8	4	no	—
1611	C₂×C₄	—	8	8	no	—
1612	C₂×C₄	—	8	2	no	—
1613	C₂×C₄	—	8	2	no	—
1614	C₂×C₄	—	8	8	no	—
1615	C₂×C₄	—	8	4	no	—
1616	C₂×C₄	—	8	8	no	—
1617	C₂×C₄	—	8	4	no	—
1618	C₂×C₄	—	8	8	no	—
1619	C₂×C₄	—	8	8	no	—
1620	C₂×C₄	—	16	4	no	—
1621	C₂×C₄	C₂²×#41	1	2	yes	—
1622	C₂×C₄	C₂²×#41	1	2	yes	—
1623	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1624	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1625	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1626	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1627	C₂²	—	2	4	no	—
1628	C₂²	—	2	4	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	4	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	4	no	—
1635	C₂²	—	2	4	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	4	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	4	no	—
1640	C₂²	—	2	4	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	2	4	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	4	no	—
1645	C₂²	—	4	32	no	—
1646	C₂²	—	4	16	no	—
1647	C₂²	—	4	2	no	—
1648	C₂²	—	4	2	no	—
1649	C₂²	—	4	2	no	—
1650	C₂²	—	4	2	no	—
1651	C₂²	—	4	2	no	—
1652	C₂²	—	4	2	no	—
1653	C₂²	—	4	2	no	—
1654	C₂²	—	4	2	no	—
1655	C₂²	—	4	2	no	—
1656	C₂²	—	4	4	no	—
1657	C₂²	—	4	2	no	—
1658	C₂²	—	4	4	no	—
1659	C₂²	—	4	2	no	—
1660	C₂²	—	4	4	no	—
1661	C₂²	—	4	2	no	—
1662	C₂²	—	4	2	no	—
1663	C₂²	—	4	4	no	—
1664	C₂²	—	4	4	no	—
1665	C₂²	—	4	2	no	—
1666	C₂²	—	4	4	no	—
1667	C₂²	—	4	2	no	—
1668	C₂²	—	4	4	no	—
1669	C₂²	—	8	32	no	—
1670	C₂²	—	8	16	no	—
1671	C₂²	—	8	32	no	—
1672	C₂²	C₂×#538	1	8	yes	—
1673	C₂²	#3520	1	4	yes	—
1674	C₂²	C₂³×#41	1	1	yes	characteristic
1675	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1676	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1677	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1678	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1679	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1680	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	4	2	no	—
1685	C₄	—	4	2	no	—
1686	C₄	—	4	4	no	—
1687	C₄	—	4	2	no	—
1688	C₄	—	4	2	no	—
1689	C₄	—	4	2	no	—
1690	C₄	—	4	4	no	—
1691	C₄	—	4	2	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	2	no	—
1695	C₄	—	4	2	no	—
1696	C₄	—	4	2	no	—
1697	C₄	—	4	2	no	—
1698	C₄	—	4	4	no	—
1699	C₄	—	4	4	no	—
1700	C₄	—	4	2	no	—
1701	C₄	—	4	2	no	—
1702	C₄	—	4	4	no	—
1703	C₄	C₂×#538	1	4	yes	—
1704	C₂	—	2	4	no	—
1705	C₂	—	2	8	no	—
1706	C₂	—	4	4	no	—
1707	C₂	—	4	4	no	—
1708	C₂	—	8	2	no	—
1709	C₂	—	8	4	no	—
1710	C₂	C₂²×#538	1	1	yes	characteristic
1711	C₂	C₂×#3520	1	1	yes	characteristic
1712	C₂	#62846	1	1	yes	characteristic
1713	C₂	#62892	1	1	yes	characteristic
1714	C₂	#62894	1	1	yes	characteristic
1715	C₂	#62894	1	1	yes	characteristic
1716	C₂	#62912	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. #42642	C₂	semidirect
2. #42634	C₂	semidirect
3. #42606	C₂	semidirect
4. #42535	C₂	semidirect
5. #40893	C₂	semidirect
6. #40888	C₂	semidirect
7. #40817	C₂	semidirect
8. #40733	C₂	semidirect
9. #39605	C₂	semidirect
10. #39511	C₂	semidirect
11. #39375	C₂	semidirect
12. #37881	C₂	semidirect
13. #37848	C₂	semidirect
14. #37703	C₂	semidirect
15. #37492	C₂	semidirect
16. #37482	C₂	semidirect
17. #36153	C₂	semidirect
18. #36152	C₂	semidirect
19. D₄×C₂²⋊Q₈	C₂	semidirect
20. #35987	C₂	semidirect
21. #35939	C₂	semidirect
22. #35914	C₂	semidirect
23. #35821	C₂	semidirect
24. #35014	C₂	semidirect
25. #34988	C₂	semidirect
26. #34570	C₂	semidirect
27. C₂×#2626	C₂	semidirect
28. #34288	C₂	semidirect
29. C₂×D₄×C₂²⋊C₄	C₂	semidirect
31. C₂×D₄×Q₈	C₂²	semidirect
32. C₂×#547	C₂²	semidirect
36. C₂×#538	C₂²	semidirect
37. C₂²×C₂²⋊Q₈	C₂²	semidirect
38. C₂×#520	C₂²	semidirect
42. #2857	C₂²	semidirect
43. #2857	C₂²	semidirect
45. #2848	C₂²	semidirect
46. #2847	C₂²	semidirect
48. #2830	C₂²	semidirect
49. #2829	C₂²	semidirect
50. #2827	C₂²	semidirect
51. #2827	C₂²	semidirect
52. #2826	C₂²	semidirect
53. #2824	C₂²	semidirect
54. #2808	C₂²	semidirect
55. #2800	C₂²	semidirect
56. #2788	C₂²	semidirect
57. #2784	C₂²	semidirect
58. #2781	C₂²	semidirect
59. #2780	C₂²	semidirect
60. #2779	C₂²	semidirect
61. #2768	C₂²	semidirect
62. #2741	C₂²	semidirect
63. #2736	C₂²	semidirect
64. #2735	C₂²	semidirect
65. #2735	C₂²	semidirect
66. #2735	C₂²	semidirect
67. #2730	C₂²	semidirect
68. #2727	C₂²	semidirect
69. #2727	C₂²	semidirect
70. #2710	C₂²	semidirect
71. #2702	C₂²	semidirect
72. #2702	C₂²	semidirect
73. #2697	C₂²	semidirect
74. #2696	C₂²	semidirect
75. #2685	C₂²	semidirect
76. #2685	C₂²	semidirect
77. #2684	C₂²	semidirect
78. #2682	C₂²	semidirect
79. #2676	C₂²	semidirect
80. #2662	C₂²	semidirect
81. #2653	C₂²	semidirect
82. #2653	C₂²	semidirect
83. #2652	C₂²	semidirect
84. #2651	C₂²	semidirect
85. #2649	C₂²	semidirect
86. #2649	C₂²	semidirect
87. #2648	C₂²	semidirect
88. #2646	C₂²	semidirect
89. #2646	C₂²	semidirect
90. #2644	C₂²	semidirect
91. #2643	C₂²	semidirect
92. #2643	C₂²	semidirect
93. #2640	C₂²	semidirect
94. #2639	C₂²	semidirect
95. #2639	C₂²	semidirect
96. #2636	C₂²	semidirect
97. #2630	C₂²	semidirect
101. #2626	C₂²	semidirect
102. #2626	C₂²	semidirect
103. #2626	C₂²	semidirect
104. #2626	C₂²	semidirect
105. #2626	C₂²	semidirect
106. #2626	C₂²	semidirect
107. #2626	C₂²	semidirect
108. #2624	C₂²	semidirect
109. #2623	C₂²	semidirect
111. #2622	C₂²	semidirect
112. #2620	C₂²	semidirect
113. #2618	C₂²	semidirect
115. #2592	C₂²	semidirect
116. #2589	C₂²	semidirect
117. #2587	C₂²	semidirect
118. #2563	C₂²	semidirect
119. #2561	C₂²	semidirect
120. #2547	C₂²	semidirect
121. #2545	C₂²	semidirect
122. #2542	C₂²	semidirect
123. #2538	C₂²	semidirect
124. #2538	C₂²	semidirect
125. #2537	C₂²	semidirect
126. #2534	C₂²	semidirect
127. #2512	C₂²	semidirect
128. #2512	C₂²	semidirect
129. #2512	C₂²	semidirect
130. #2505	C₂²	semidirect
131. #2501	C₂²	semidirect
132. #2498	C₂²	semidirect
133. #2497	C₂²	semidirect
134. #2497	C₂²	semidirect
135. #2497	C₂²	semidirect
136. #2492	C₂²	semidirect
137. #2492	C₂²	semidirect
138. #2491	C₂²	semidirect
139. #2491	C₂²	semidirect
140. #2488	C₂²	semidirect
141. #2488	C₂²	semidirect
142. #2487	C₂²	semidirect
143. #2486	C₂²	semidirect
144. #2482	C₂²	semidirect
145. #2481	C₂²	semidirect
146. #2481	C₂²	semidirect
147. #2481	C₂²	semidirect
148. #2480	C₂²	semidirect
149. #2480	C₂²	semidirect
150. #2480	C₂²	semidirect
151. #2480	C₂²	semidirect
152. #2480	C₂²	semidirect
153. #2480	C₂²	semidirect
154. #2472	C₂²	semidirect
155. #2472	C₂²	semidirect
156. #2472	C₂²	semidirect
157. #2472	C₂²	semidirect
158. #2452	C₂²	semidirect
159. #2450	C₂²	semidirect
160. #2449	C₂²	semidirect
161. #2448	C₂²	semidirect
162. #2448	C₂²	semidirect
163. #2443	C₂²	semidirect
164. #2443	C₂²	semidirect
165. #2440	C₂²	semidirect
166. #2437	C₂²	semidirect
167. #2436	C₂²	semidirect
171. #2429	C₂²	semidirect
172. #2427	C₂²	semidirect
173. #2426	C₂²	semidirect
174. #2425	C₂²	semidirect
175. #2425	C₂²	semidirect
176. #2424	C₂²	semidirect
177. #2424	C₂²	semidirect
178. #2423	C₂²	semidirect
179. #2423	C₂²	semidirect
180. #2418	C₂²	semidirect
181. #2418	C₂²	semidirect
182. #2418	C₂²	semidirect
183. #2418	C₂²	semidirect
184. #2417	C₂²	semidirect
185. #2417	C₂²	semidirect
186. #2417	C₂²	semidirect
187. #2416	C₂²	semidirect
188. #2416	C₂²	semidirect
189. #2416	C₂²	semidirect
190. #2413	C₂²	semidirect
191. #2412	C₂²	semidirect
192. #2411	C₂²	semidirect
196. #2409	C₂²	semidirect
203. #2401	C₂²	semidirect
204. #2398	C₂²	semidirect
205. #2395	C₂²	semidirect
206. C₂×#399	C₂²	semidirect
207. #2392	C₂²	semidirect
208. C₂×#396	C₂²	semidirect
209. C₂×#396	C₂²	semidirect
210. C₂×#393	C₂²	semidirect
211. #2367	C₂²	semidirect
212. #2361	C₂²	semidirect
213. #2361	C₂²	semidirect
214. #2360	C₂²	semidirect
215. #2359	C₂²	semidirect
216. #2358	C₂²	semidirect
217. D₄×C₄⋊C₄	C₂²	semidirect
218. D₄×C₄⋊C₄	C₂²	semidirect
219. D₄×C₄⋊C₄	C₂²	semidirect
220. D₄×C₄⋊C₄	C₂²	semidirect
221. D₄×C₄⋊C₄	C₂²	semidirect
222. #2342	C₂²	semidirect
223. #2339	C₂²	semidirect
224. #2339	C₂²	semidirect
234. #2329	C₂²	semidirect
235. #2326	C₂²	semidirect
236. #2325	C₂²	semidirect
237. #2324	C₂²	semidirect
238. #2322	C₂²	semidirect
241. #2312	C₂²	semidirect
242. C₄×C₂²⋊Q₈	C₂²	semidirect
243. C₄×C₂²⋊Q₈	C₂²	semidirect
244. C₄×#121	C₂²	semidirect
246. C₄×#120	C₂²	semidirect
249. #2290	C₂²	semidirect
252. C₂×#385	C₂²	semidirect
254. C₂×#380	C₂²	semidirect
257. #2275	C₂²	semidirect
261. C₂³×Q₈	C₂³	semidirect
280. C₂×C₄⋊Q₈	C₂³	semidirect
281. C₂×C₄⋊Q₈	C₂³	semidirect
282. C₂×C₄⋊Q₈	C₂³	semidirect
283. C₂×#126	C₂³	semidirect
284. C₂×#126	C₂³	semidirect
285. C₂×#126	C₂³	semidirect
289. C₂×#124	C₂³	semidirect
290. C₂×#124	C₂³	semidirect
294. C₂×#123	C₂³	semidirect
295. C₂×#123	C₂³	semidirect
296. C₂×#123	C₂³	semidirect
304. C₂×C₂²⋊Q₈	C₂³	semidirect
305. C₂×C₂²⋊Q₈	C₂³	semidirect
306. C₂×C₂²⋊Q₈	C₂³	semidirect
307. C₂×C₂²⋊Q₈	C₂³	semidirect
308. C₂×C₂²⋊Q₈	C₂³	semidirect
309. C₂×C₂²⋊Q₈	C₂³	semidirect
310. C₂×C₂²⋊Q₈	C₂³	semidirect
318. C₂×#121	C₂³	semidirect
319. C₂×#121	C₂³	semidirect
320. C₂×#121	C₂³	semidirect
329. C₂×C₄×Q₈	C₂³	semidirect
330. C₂×C₄×Q₈	C₂³	semidirect
331. C₂×C₄×Q₈	C₂³	semidirect
350. C₂×C₄×D₄	C₂³	semidirect
351. C₂×C₄×D₄	C₂³	semidirect
352. C₂×C₄×D₄	C₂³	semidirect
353. C₂×C₄×D₄	C₂³	semidirect
354. C₂×#117	C₂³	semidirect
355. C₂×#117	C₂³	semidirect
358. C₂²×C₄⋊C₄	C₂³	semidirect
359. C₂²×C₄⋊C₄	C₂³	semidirect
360. C₂²×C₄⋊C₄	C₂³	semidirect
361. C₂²×C₄⋊C₄	C₂³	semidirect
362. C₂²×C₄⋊C₄	C₂³	semidirect
363. C₂²×C₄⋊C₄	C₂³	semidirect
364. C₂²×C₄⋊C₄	C₂³	semidirect
387. #401	C₂³	semidirect
388. #400	C₂³	semidirect
389. #400	C₂³	semidirect
390. #400	C₂³	semidirect
391. #400	C₂³	semidirect
392. #400	C₂³	semidirect
393. #400	C₂³	semidirect
394. #400	C₂³	semidirect
395. #400	C₂³	semidirect
396. #400	C₂³	semidirect
397. #400	C₂³	semidirect
398. #400	C₂³	semidirect
399. #400	C₂³	semidirect
404. #399	C₂³	semidirect
405. #399	C₂³	semidirect
406. #399	C₂³	semidirect
407. #399	C₂³	semidirect
408. #399	C₂³	semidirect
409. #399	C₂³	semidirect
410. #398	C₂³	semidirect
411. #398	C₂³	semidirect
412. #398	C₂³	semidirect
413. #398	C₂³	semidirect
414. #398	C₂³	semidirect
415. #398	C₂³	semidirect
416. #398	C₂³	semidirect
417. #398	C₂³	semidirect
423. #397	C₂³	semidirect
424. #397	C₂³	semidirect
425. #397	C₂³	semidirect
426. #397	C₂³	semidirect
427. #397	C₂³	semidirect
428. #397	C₂³	semidirect
429. #397	C₂³	semidirect
430. #397	C₂³	semidirect
431. #397	C₂³	semidirect
432. #397	C₂³	semidirect
433. #397	C₂³	semidirect
434. #397	C₂³	semidirect
435. #397	C₂³	semidirect
436. #397	C₂³	semidirect
437. #397	C₂³	semidirect
438. #397	C₂³	semidirect
439. #397	C₂³	semidirect
440. #397	C₂³	semidirect
449. #396	C₂³	semidirect
450. #396	C₂³	semidirect
451. #396	C₂³	semidirect
452. #396	C₂³	semidirect
453. #396	C₂³	semidirect
454. #396	C₂³	semidirect
455. #396	C₂³	semidirect
456. #396	C₂³	semidirect
457. #396	C₂³	semidirect
458. #396	C₂³	semidirect
459. #396	C₂³	semidirect
460. #396	C₂³	semidirect
461. #396	C₂³	semidirect
462. #396	C₂³	semidirect
463. #396	C₂³	semidirect
464. #395	C₂³	semidirect
480. #394	C₂³	semidirect
481. #394	C₂³	semidirect
482. #394	C₂³	semidirect
483. #394	C₂³	semidirect
484. #394	C₂³	semidirect
485. #394	C₂³	semidirect
486. #394	C₂³	semidirect
487. #394	C₂³	semidirect
488. #394	C₂³	semidirect
489. #394	C₂³	semidirect
490. #394	C₂³	semidirect
495. #393	C₂³	semidirect
496. #393	C₂³	semidirect
497. #393	C₂³	semidirect
498. #393	C₂³	semidirect
499. #393	C₂³	semidirect
500. #393	C₂³	semidirect
501. #393	C₂³	semidirect
502. #393	C₂³	semidirect
507. #391	C₂³	semidirect
508. #391	C₂³	semidirect
509. #391	C₂³	semidirect
510. #391	C₂³	semidirect
511. #391	C₂³	semidirect
512. #391	C₂³	semidirect
513. #391	C₂³	semidirect
514. #391	C₂³	semidirect
530. #390	C₂³	semidirect
531. #390	C₂³	semidirect
532. #390	C₂³	semidirect
533. #389	C₂³	semidirect
534. #389	C₂³	semidirect
535. #389	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
556. #388	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. #387	C₂³	semidirect
580. #387	C₂³	semidirect
581. #387	C₂³	semidirect
582. #387	C₂³	semidirect
583. #387	C₂³	semidirect
584. #387	C₂³	semidirect
585. #387	C₂³	semidirect
586. #387	C₂³	semidirect
587. #387	C₂³	semidirect
588. #387	C₂³	semidirect
612. #386	C₂³	semidirect
613. #386	C₂³	semidirect
614. #386	C₂³	semidirect
615. #386	C₂³	semidirect
616. #386	C₂³	semidirect
617. #386	C₂³	semidirect
618. #386	C₂³	semidirect
619. #386	C₂³	semidirect
633. #385	C₂³	semidirect
634. #385	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. #384	C₂³	semidirect
650. #384	C₂³	semidirect
651. #382	C₂³	semidirect
652. #381	C₂³	semidirect
653. #381	C₂³	semidirect
666. #380	C₂³	semidirect
667. #380	C₂³	semidirect
668. #380	C₂³	semidirect
669. #380	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
677. #380	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
713. C₄×C₂²⋊C₄	C₂³	semidirect
714. C₄×C₂²⋊C₄	C₂³	semidirect
715. C₄×C₂²⋊C₄	C₂³	semidirect
716. C₄×C₂²⋊C₄	C₂³	semidirect
717. C₄×C₂²⋊C₄	C₂³	semidirect
718. C₄×C₂²⋊C₄	C₂³	semidirect
719. #376	C₂³	semidirect
723. C₂×#95	C₂³	semidirect
724. C₂×#95	C₂³	semidirect
725. C₂×#95	C₂³	semidirect
1535. D₄	#538	semidirect

Maximal subgroups

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

subgroup	index
#42642	2
#42634	2
#42606	2
#42535	2
#40893	2
#40888	2
#40817	2
#40733	2
#39605	2
#39511	2
#39375	2
#37881	2
#37848	2
#37703	2
#37492	2
#37482	2
#36153	2
#36152	2
D₄×C₂²⋊Q₈	2
#35987	2
#35939	2
#35914	2
#35821	2
#35014	2
#34988	2
#34570	2
C₂×#2626	2
#34288	2
C₂×D₄×C₂²⋊C₄	2