Subgroups — #8751928

Order 512.

5016 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#58387	C₂	1	2	yes	maximal, complemented
2	#58258	C₂	1	2	yes	maximal, complemented
3	#56635	C₂	1	4	yes	maximal, complemented
4	#56584	C₂	1	2	yes	maximal, complemented
5	#56293	C₂	1	4	yes	maximal, complemented
6	#56074	C₂	1	2	yes	maximal, complemented
7	#53945	C₂	1	4	yes	maximal, complemented
8	#53400	C₂	1	4	yes	maximal, complemented
9	#49292	C₂	1	4	yes	maximal, complemented
10	#48795	C₂	1	2	yes	maximal, complemented
11	#48707	C₂	1	4	yes	maximal, complemented
12	#48058	C₂	1	2	yes	maximal, complemented
13	#47053	C₂	1	4	yes	maximal, complemented
14	#47037	C₂	1	2	yes	maximal, complemented
15	#47031	C₂	1	1	yes	maximal, characteristic, complemented
16	#46999	C₂	1	1	yes	maximal, characteristic, complemented
17	#46627	C₂	1	4	yes	maximal, complemented
18	#45461	C₂	1	4	yes	maximal, complemented
19	#45457	C₂	1	2	yes	maximal, complemented
20	#45441	C₂	1	4	yes	maximal, complemented
21	#45438	C₂	1	2	yes	maximal, complemented
22	#35050	C₂	1	2	yes	maximal, complemented
23	#34992	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#560	C₂²	1	2	yes	—
25	C₂×#525	C₂²	1	2	yes	complemented
26	C₂²×#120	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
28	#2849	C₂²	1	4	yes	—
29	#2849	C₂²	1	4	yes	complemented
30	#2846	C₂²	1	4	yes	—
31	#2842	C₂²	1	2	yes	complemented
32	#2842	C₂²	1	1	yes	characteristic, complemented
33	#2837	C₂²	1	4	yes	complemented
34	#2835	C₂²	1	2	yes	complemented
35	#2831	C₂²	1	4	yes	complemented
36	#2827	C₂²	1	4	yes	complemented
37	#2826	C₂²	1	4	yes	complemented
38	#2826	C₂²	1	4	yes	complemented
39	#2815	C₂²	1	1	yes	characteristic, complemented
40	#2813	C₂²	1	4	yes	complemented
41	#2812	C₂²	1	4	yes	—
42	#2812	C₂²	1	2	yes	complemented
43	#2803	C₂²	1	4	yes	complemented
44	#2800	C₂²	1	4	yes	complemented
45	#2796	C₂²	1	4	yes	complemented
46	#2783	C₂²	1	4	yes	complemented
47	#2779	C₂²	1	4	yes	complemented
48	#2775	C₂²	1	4	yes	complemented
49	#2772	C₂²	1	4	yes	complemented
50	#2771	C₂²	1	2	yes	complemented
51	#2771	C₂²	1	2	yes	complemented
52	#2771	C₂²	1	4	yes	complemented
53	#2768	C₂²	1	4	yes	complemented
54	#2756	C₂²	1	4	yes	complemented
55	#2753	C₂²	1	4	yes	complemented
56	#2752	C₂²	1	4	yes	complemented
57	#2750	C₂²	1	4	yes	complemented
58	#2750	C₂²	1	4	yes	complemented
59	#2749	C₂²	1	4	yes	complemented
60	#2748	C₂²	1	2	yes	complemented
61	#2743	C₂²	1	4	yes	complemented
62	#2743	C₂²	1	4	yes	complemented
63	#2743	C₂²	1	4	yes	complemented
64	#2743	C₂²	1	4	yes	complemented
65	#2743	C₂²	1	4	yes	complemented
66	#2742	C₂²	1	2	yes	complemented
67	#2742	C₂²	1	4	yes	complemented
68	#2739	C₂²	1	4	yes	complemented
69	#2739	C₂²	1	4	yes	complemented
70	#2735	C₂²	1	4	yes	—
71	#2735	C₂²	1	2	yes	complemented
72	#2727	C₂²	1	4	yes	complemented
73	#2725	C₂²	1	4	yes	complemented
74	#2724	C₂²	1	4	yes	complemented
75	#2714	C₂²	1	4	yes	complemented
76	#2711	C₂²	1	4	yes	complemented
77	#2709	C₂²	1	4	yes	complemented
78	#2709	C₂²	1	2	yes	complemented
79	#2706	C₂²	1	4	yes	complemented
80	#2706	C₂²	1	4	yes	complemented
81	#2705	C₂²	1	4	yes	complemented
82	#2705	C₂²	1	4	yes	complemented
83	#2703	C₂²	1	4	yes	complemented
84	#2701	C₂²	1	4	yes	complemented
85	#2699	C₂²	1	4	yes	complemented
86	#2698	C₂²	1	4	yes	complemented
87	#2698	C₂²	1	4	yes	complemented
88	#2697	C₂²	1	4	yes	—
89	#2697	C₂²	1	2	yes	—
90	#2695	C₂²	1	4	yes	complemented
91	#2695	C₂²	1	4	yes	complemented
92	#2695	C₂²	1	4	yes	complemented
93	#2694	C₂²	1	4	yes	complemented
94	#2693	C₂²	1	2	yes	complemented
95	#2691	C₂²	1	4	yes	complemented
96	#2688	C₂²	1	4	yes	complemented
97	#2688	C₂²	1	4	yes	complemented
98	#2686	C₂²	1	4	yes	complemented
99	#2685	C₂²	1	4	yes	—
100	#2685	C₂²	1	4	yes	—
101	#2685	C₂²	1	4	yes	complemented
102	#2685	C₂²	1	4	yes	complemented
103	#2682	C₂²	1	4	yes	complemented
104	#2682	C₂²	1	4	yes	complemented
105	#2678	C₂²	1	4	yes	—
106	#2678	C₂²	1	4	yes	—
107	#2678	C₂²	1	4	yes	—
108	#2673	C₂²	1	4	yes	complemented
109	#2672	C₂²	1	4	yes	complemented
110	#2672	C₂²	1	4	yes	complemented
111	#2670	C₂²	1	2	yes	complemented
112	#2669	C₂²	1	4	yes	—
113	#2669	C₂²	1	2	yes	—
114	#2668	C₂²	1	4	yes	—
115	#2668	C₂²	1	2	yes	complemented
116	#2668	C₂²	1	2	yes	complemented
117	#2667	C₂²	1	2	yes	complemented
118	#2662	C₂²	1	4	yes	complemented
119	#2654	C₂²	1	4	yes	complemented
120	#2644	C₂²	1	4	yes	complemented
121	#2636	C₂²	1	4	yes	complemented
122	#2635	C₂²	1	4	yes	complemented
123	#2626	C₂²	1	2	yes	—
124	#2626	C₂²	1	2	yes	complemented
125	#2624	C₂²	1	2	yes	complemented
126	#2622	C₂²	1	4	yes	—
127	#2617	C₂²	1	2	yes	—
128	#2617	C₂²	1	2	yes	complemented
129	#2611	C₂²	1	4	yes	complemented
130	#2607	C₂²	1	1	yes	characteristic, complemented
131	#2603	C₂²	1	4	yes	complemented
132	#2598	C₂²	1	4	yes	complemented
133	#2595	C₂²	1	4	yes	complemented
134	#2573	C₂²	1	4	yes	complemented
135	#2573	C₂²	1	4	yes	complemented
136	#2561	C₂²	1	2	yes	—
137	#2561	C₂²	1	2	yes	complemented
138	#2559	C₂²	1	4	yes	complemented
139	#2558	C₂²	1	4	yes	complemented
140	#2558	C₂²	1	4	yes	complemented
141	#2557	C₂²	1	4	yes	complemented
142	#2539	C₂²	1	2	yes	—
143	#2539	C₂²	1	2	yes	—
144	#2539	C₂²	1	2	yes	complemented
145	#2534	C₂²	1	4	yes	—
146	#2534	C₂²	1	4	yes	complemented
147	#2534	C₂²	1	4	yes	complemented
148	#2531	C₂²	1	4	yes	complemented
149	#2526	C₂²	1	4	yes	complemented
150	#2526	C₂²	1	4	yes	complemented
151	#2516	C₂²	1	4	yes	complemented
152	#2515	C₂²	1	4	yes	complemented
153	#2487	C₂²	1	4	yes	complemented
154	#2483	C₂²	1	2	yes	—
155	#2483	C₂²	1	2	yes	—
156	#2483	C₂²	1	1	yes	characteristic, complemented
157	#2482	C₂²	1	2	yes	—
158	#2482	C₂²	1	2	yes	—
159	#2482	C₂²	1	2	yes	complemented
160	#2481	C₂²	1	4	yes	complemented
161	#2480	C₂²	1	4	yes	—
162	#2480	C₂²	1	4	yes	complemented
163	#2479	C₂²	1	4	yes	complemented
164	#2479	C₂²	1	4	yes	complemented
165	#2470	C₂²	1	4	yes	complemented
166	#2470	C₂²	1	4	yes	complemented
167	#2470	C₂²	1	4	yes	complemented
168	#2466	C₂²	1	4	yes	complemented
169	#2466	C₂²	1	4	yes	complemented
170	#2464	C₂²	1	4	yes	complemented
171	#2464	C₂²	1	4	yes	complemented
172	#2457	C₂²	1	4	yes	complemented
173	#2457	C₂²	1	4	yes	complemented
174	#2457	C₂²	1	4	yes	complemented
175	#2455	C₂²	1	2	yes	complemented
176	#2454	C₂²	1	4	yes	complemented
177	#2443	C₂²	1	4	yes	complemented
178	#2443	C₂²	1	4	yes	complemented
179	#2433	C₂²	1	2	yes	—
180	#2431	C₂²	1	4	yes	complemented
181	#2424	C₂²	1	4	yes	—
182	#2424	C₂²	1	4	yes	complemented
183	#2420	C₂²	1	4	yes	complemented
184	#2420	C₂²	1	4	yes	complemented
185	#2418	C₂²	1	4	yes	—
186	#2418	C₂²	1	4	yes	—
187	#2418	C₂²	1	4	yes	complemented
188	#2416	C₂²	1	4	yes	complemented
189	#2412	C₂²	1	4	yes	—
190	#2412	C₂²	1	4	yes	—
191	#2411	C₂²	1	4	yes	—
192	#2411	C₂²	1	4	yes	complemented
193	#2411	C₂²	1	4	yes	complemented
194	#2410	C₂²	1	4	yes	—
195	#2408	C₂²	1	4	yes	—
196	#2406	C₂²	1	4	yes	complemented
197	#2405	C₂²	1	2	yes	—
198	#2405	C₂²	1	2	yes	—
199	#2405	C₂²	1	2	yes	—
200	#2404	C₂²	1	2	yes	—
201	#2404	C₂²	1	2	yes	complemented
202	#2377	C₂²	1	2	yes	complemented
203	#2376	C₂²	1	2	yes	complemented
204	#2375	C₂²	1	2	yes	—
205	#2375	C₂²	1	4	yes	complemented
206	#2366	C₂²	1	2	yes	complemented
207	#2346	C₂²	1	2	yes	complemented
208	#2333	C₂²	1	2	yes	complemented
209	#2322	C₂²	1	4	yes	complemented
210	#2321	C₂²	1	4	yes	—
211	#2321	C₂²	1	4	yes	complemented
212	#2315	C₂²	1	1	yes	characteristic
213	#2315	C₂²	1	1	yes	characteristic
214	#2312	C₂²	1	2	yes	complemented
215	#2308	C₂²	1	1	yes	characteristic
216	#2308	C₂²	1	1	yes	characteristic
217	#2280	C₂²	1	2	yes	complemented
218	C₂×#379	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	2	yes	—
223	C₂⁴×C₄	C₂³	1	2	yes	—
224	#560	—	4	8	no	—
225	C₂×#127	C₂³	1	2	yes	—
226	C₂×#127	C₂³	1	2	yes	—
227	C₂×#126	C₂³	1	4	yes	—
228	C₂×#126	C₂³	1	4	yes	—
229	C₂×#126	C₂³	1	4	yes	complemented
230	C₂×#126	C₂³	1	4	yes	complemented
231	C₂×#125	C₂³	1	4	yes	complemented
232	C₂×#124	C₂³	1	4	yes	complemented
233	#525	—	4	8	no	—
234	C₂×#123	C₂³	1	4	yes	—
235	C₂×#123	C₂³	1	2	yes	—
236	C₂×#123	C₂³	1	2	yes	—
237	C₂×#123	C₂³	1	4	yes	—
238	C₂×#123	C₂³	1	4	yes	—
239	C₂×#123	C₂³	1	4	yes	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	complemented
245	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
246	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
247	C₂×#121	C₂³	1	2	yes	—
248	C₂×#121	C₂³	1	2	yes	—
249	C₂×#121	C₂³	1	2	yes	—
250	C₂×#121	C₂³	1	4	yes	—
251	C₂×#121	C₂³	1	4	yes	—
252	C₂×#121	C₂³	1	2	yes	—
253	C₂×#121	C₂³	1	4	yes	—
254	C₂×#121	C₂³	1	4	yes	—
255	C₂×#121	C₂³	1	4	yes	—
256	C₂×#121	C₂³	1	4	yes	—
257	C₂×#121	C₂³	1	4	yes	complemented
258	C₂×#120	—	4	4	no	—
259	C₂×#120	C₂³	1	4	yes	—
260	C₂×#120	C₂³	1	2	yes	—
261	C₂×#120	C₂³	1	4	yes	—
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	4	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	4	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×C₄×D₄	C₂³	1	4	yes	—
271	C₂×C₄×D₄	C₂³	1	4	yes	—
272	C₂×C₄×D₄	C₂³	1	4	yes	—
273	C₂×C₄×D₄	C₂³	1	4	yes	—
274	C₂×C₄×D₄	C₂³	1	4	yes	complemented
275	C₂×#117	C₂³	1	2	yes	—
276	C₂×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	4	yes	—
278	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
279	C₂²×C₂²⋊C₄	—	4	4	no	—
280	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
293	#400	C₂³	1	4	yes	complemented
294	#400	C₂³	1	4	yes	complemented
295	#400	C₂³	1	4	yes	complemented
296	#400	C₂³	1	4	yes	complemented
297	#400	C₂³	1	4	yes	complemented
298	#400	C₂³	1	4	yes	complemented
299	#400	C₂³	1	4	yes	complemented
300	#400	C₂³	1	4	yes	complemented
301	#400	C₂³	1	4	yes	complemented
302	#400	C₂³	1	4	yes	complemented
303	#400	C₂³	1	4	yes	complemented
304	#400	C₂³	1	4	yes	complemented
305	#400	C₂³	1	4	yes	complemented
306	#400	C₂³	1	4	yes	complemented
307	#399	C₂³	1	2	yes	—
308	#399	C₂³	1	4	yes	—
309	#399	C₂³	1	2	yes	—
310	#399	C₂³	1	2	yes	—
311	#399	C₂³	1	2	yes	—
312	#399	C₂³	1	2	yes	—
313	#399	C₂³	1	2	yes	—
314	#399	C₂³	1	2	yes	—
315	#399	C₂³	1	2	yes	—
316	#399	C₂³	1	4	yes	—
317	#399	C₂³	1	4	yes	complemented
318	#399	C₂³	1	4	yes	complemented
319	#399	C₂³	1	4	yes	complemented
320	#399	C₂³	1	4	yes	complemented
321	#398	C₂³	1	4	yes	complemented
322	#398	C₂³	1	4	yes	complemented
323	#398	C₂³	1	4	yes	complemented
324	#398	C₂³	1	4	yes	complemented
325	#398	C₂³	1	4	yes	complemented
326	#398	C₂³	1	4	yes	complemented
327	#398	C₂³	1	4	yes	complemented
328	#397	C₂³	1	2	yes	—
329	#397	C₂³	1	2	yes	—
330	#397	C₂³	1	2	yes	—
331	#397	C₂³	1	2	yes	—
332	#397	C₂³	1	4	yes	—
333	#397	C₂³	1	4	yes	—
334	#397	C₂³	1	4	yes	—
335	#397	C₂³	1	4	yes	—
336	#397	C₂³	1	4	yes	—
337	#397	C₂³	1	4	yes	—
338	#397	C₂³	1	4	yes	—
339	#397	C₂³	1	4	yes	—
340	#397	C₂³	1	4	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	2	yes	—
345	#397	C₂³	1	2	yes	—
346	#397	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
352	#396	C₂³	1	4	yes	—
353	#396	C₂³	1	4	yes	—
354	#396	C₂³	1	4	yes	—
355	#396	C₂³	1	4	yes	—
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	—
358	#396	C₂³	1	4	yes	—
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	—
362	#396	C₂³	1	4	yes	—
363	#396	C₂³	1	4	yes	—
364	#396	C₂³	1	4	yes	complemented
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
367	#396	C₂³	1	4	yes	complemented
368	#396	C₂³	1	4	yes	complemented
369	#396	C₂³	1	4	yes	complemented
370	#395	C₂³	1	4	yes	complemented
371	#395	C₂³	1	4	yes	complemented
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	4	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#393	C₂³	1	2	yes	—
406	#393	C₂³	1	2	yes	—
407	#393	C₂³	1	2	yes	—
408	#393	C₂³	1	2	yes	—
409	#392	C₂³	1	4	yes	—
410	#392	C₂³	1	4	yes	—
411	#392	C₂³	1	4	yes	—
412	#392	C₂³	1	2	yes	—
413	#392	C₂³	1	2	yes	—
414	#392	C₂³	1	2	yes	—
415	#392	C₂³	1	2	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	4	yes	—
419	#392	C₂³	1	4	yes	—
420	#392	C₂³	1	4	yes	—
421	#392	C₂³	1	2	yes	—
422	#392	C₂³	1	4	yes	—
423	#392	C₂³	1	4	yes	complemented
424	#392	C₂³	1	4	yes	complemented
425	#391	C₂³	1	4	yes	complemented
426	#390	C₂³	1	4	yes	—
427	#390	C₂³	1	4	yes	—
428	#390	C₂³	1	4	yes	—
429	#390	C₂³	1	4	yes	—
430	#390	C₂³	1	4	yes	—
431	#390	C₂³	1	4	yes	—
432	#390	C₂³	1	2	yes	—
433	#390	C₂³	1	4	yes	—
434	#390	C₂³	1	4	yes	—
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	2	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	complemented
441	#390	C₂³	1	4	yes	complemented
442	#389	C₂³	1	4	yes	complemented
443	#389	C₂³	1	4	yes	complemented
444	#389	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#389	C₂³	1	4	yes	complemented
450	#389	C₂³	1	4	yes	complemented
451	#389	C₂³	1	4	yes	complemented
452	#389	C₂³	1	4	yes	complemented
453	#389	C₂³	1	4	yes	complemented
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#388	C₂³	1	4	yes	complemented
491	#388	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#387	C₂³	1	4	yes	complemented
496	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#386	C₂³	1	4	yes	—
507	#386	C₂³	1	4	yes	—
508	#386	C₂³	1	2	yes	—
509	#386	C₂³	1	2	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	2	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	2	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	4	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	complemented
534	#386	C₂³	1	4	yes	complemented
535	#386	C₂³	1	4	yes	complemented
536	#386	C₂³	1	4	yes	complemented
537	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
539	#386	C₂³	1	4	yes	complemented
540	#385	C₂³	1	2	yes	—
541	#385	C₂³	1	2	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	—
544	#385	C₂³	1	2	yes	—
545	#385	C₂³	1	2	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	complemented
557	#385	C₂³	1	4	yes	complemented
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#385	C₂³	1	4	yes	complemented
564	#383	C₂³	1	4	yes	complemented
565	#382	C₂³	1	4	yes	complemented
566	#382	C₂³	1	4	yes	complemented
567	#381	C₂³	1	4	yes	—
568	#381	C₂³	1	4	yes	—
569	#381	C₂³	1	1	yes	characteristic
570	#381	C₂³	1	1	yes	characteristic
571	#381	C₂³	1	2	yes	—
572	#381	C₂³	1	4	yes	—
573	#381	C₂³	1	4	yes	—
574	#381	C₂³	1	2	yes	—
575	#381	C₂³	1	2	yes	—
576	#381	C₂³	1	2	yes	—
577	#381	C₂³	1	4	yes	complemented
578	#381	C₂³	1	4	yes	complemented
579	#381	C₂³	1	4	yes	complemented
580	#380	C₂³	1	2	yes	—
581	#380	C₂³	1	2	yes	—
582	#380	C₂³	1	4	yes	—
583	#380	C₂³	1	2	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	4	yes	—
586	#380	C₂³	1	4	yes	—
587	#380	C₂³	1	4	yes	—
588	#380	C₂³	1	4	yes	complemented
589	#380	C₂³	1	4	yes	complemented
590	#380	C₂³	1	4	yes	complemented
591	#380	C₂³	1	4	yes	complemented
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	1	yes	characteristic
595	#379	C₂³	1	1	yes	characteristic
596	#379	C₂³	1	2	yes	—
597	#379	C₂³	1	2	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	2	yes	—
602	#379	C₂³	1	4	yes	—
603	#379	C₂³	1	4	yes	—
604	#379	C₂³	1	2	yes	—
605	#379	C₂³	1	2	yes	—
606	#379	C₂³	1	2	yes	—
607	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
608	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
609	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	#376	C₂³	1	4	yes	complemented
618	C₂⁵	—	2	4	no	—
619	C₂⁵	—	4	2	no	—
620	C₂⁵	—	4	2	no	—
621	C₂⁵	—	8	4	no	—
622	C₂⁵	C₂⁴	1	1	yes	characteristic
623	C₂⁵	C₂⁴	1	2	yes	—
624	C₂⁵	C₂⁴	1	2	yes	—
625	C₂⁵	C₂⁴	1	1	yes	characteristic
626	C₂⁵	C₂⁴	1	1	yes	characteristic
627	C₂⁵	C₂⁴	1	1	yes	characteristic
628	C₂×#41	—	4	4	no	—
629	C₂×#41	—	8	4	no	—
630	C₂²×Q₈	C₂⁴	1	2	yes	—
631	C₂²×D₄	—	4	2	no	—
632	C₂²×D₄	—	4	4	no	—
633	C₂²×D₄	—	4	2	no	—
634	C₂²×D₄	—	4	2	no	—
635	C₂²×D₄	—	8	4	no	—
636	C₂²×D₄	C₂⁴	1	4	yes	—
637	C₂²×D₄	C₂⁴	1	4	yes	—
638	C₂²×D₄	C₂⁴	1	4	yes	—
639	C₂²×D₄	C₂⁴	1	4	yes	—
640	C₂²×D₄	C₂⁴	1	4	yes	—
641	C₂²×D₄	C₂⁴	1	4	yes	—
642	C₂²×D₄	C₂⁴	1	2	yes	—
643	C₂²×D₄	C₂⁴	1	2	yes	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	4	yes	—
647	C₂²×D₄	C₂⁴	1	4	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	2	yes	—
650	C₂²×D₄	C₂⁴	1	2	yes	—
651	C₂²×D₄	C₂⁴	1	2	yes	—
652	C₂³×C₄	—	2	8	no	—
653	C₂³×C₄	—	8	4	no	—
654	C₂³×C₄	C₂⁴	1	2	yes	—
655	C₂³×C₄	C₂⁴	1	2	yes	—
656	C₂³×C₄	C₂⁴	1	2	yes	—
657	C₂³×C₄	C₂⁴	1	2	yes	—
658	C₂³×C₄	C₂⁴	1	2	yes	—
659	C₂³×C₄	C₂⁴	1	1	yes	characteristic
660	C₂³×C₄	C₂⁴	1	2	yes	—
661	C₂³×C₄	C₂⁴	1	2	yes	—
662	C₂³×C₄	C₂⁴	1	2	yes	—
663	C₂³×C₄	C₂⁴	1	2	yes	—
664	C₂³×C₄	C₂⁴	1	2	yes	—
665	C₂³×C₄	C₂⁴	1	2	yes	—
666	C₂³×C₄	C₂⁴	1	4	yes	—
667	C₂³×C₄	C₂⁴	1	4	yes	—
668	C₂³×C₄	C₂⁴	1	4	yes	—
669	#127	—	4	4	no	—
670	#127	—	4	4	no	—
671	#126	—	4	8	no	—
672	#126	—	8	4	no	—
673	#126	—	8	4	no	—
674	#126	—	8	4	no	—
675	#125	—	8	4	no	—
676	#124	—	8	4	no	—
677	#123	—	4	8	no	—
678	#123	—	4	4	no	—
679	#123	—	4	8	no	—
680	#123	—	4	4	no	—
681	#123	—	4	8	no	—
682	#123	—	8	4	no	—
683	#123	—	8	4	no	—
684	#123	—	8	4	no	—
685	#123	—	8	4	no	—
686	#123	—	8	4	no	—
687	#123	—	8	4	no	—
688	C₂²⋊Q₈	—	4	4	no	—
689	C₂²⋊Q₈	—	4	4	no	—
690	#121	—	4	8	no	—
691	#121	—	4	8	no	—
692	#121	—	4	8	no	—
693	#121	—	4	4	no	—
694	#121	—	4	4	no	—
695	#121	—	4	4	no	—
696	#121	—	4	4	no	—
697	#121	—	8	4	no	—
698	#121	—	8	4	no	—
699	#121	—	8	4	no	—
700	#121	—	8	4	no	—
701	#120	—	2	8	no	—
702	#120	—	2	16	no	—
703	#120	—	4	8	no	—
704	#120	—	4	4	no	—
705	#120	—	4	8	no	—
706	#120	—	4	8	no	—
707	#120	—	8	4	no	—
708	#120	—	8	4	no	—
709	#120	—	8	4	no	—
710	#120	—	8	4	no	—
711	#120	—	8	4	no	—
712	C₄×D₄	—	4	8	no	—
713	C₄×D₄	—	4	8	no	—
714	C₄×D₄	—	8	4	no	—
715	C₄×D₄	—	8	4	no	—
716	C₄×D₄	—	8	4	no	—
717	#117	—	4	4	no	—
718	#117	—	4	4	no	—
719	#117	—	8	4	no	—
720	C₂×C₄⋊C₄	—	8	4	no	—
721	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
727	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₂²⋊C₄	—	4	4	no	—
756	C₂×C₂²⋊C₄	—	4	2	no	—
757	C₂×C₂²⋊C₄	—	4	4	no	—
758	C₂×C₂²⋊C₄	—	4	2	no	—
759	C₂×C₂²⋊C₄	—	4	2	no	—
760	C₂×C₂²⋊C₄	—	4	4	no	—
761	C₂×C₂²⋊C₄	—	4	2	no	—
762	C₂×C₂²⋊C₄	—	4	4	no	—
763	C₂×C₂²⋊C₄	—	4	4	no	—
764	C₂×C₂²⋊C₄	—	4	4	no	—
765	C₂×C₂²⋊C₄	—	4	4	no	—
766	C₂×C₂²⋊C₄	—	4	2	no	—
767	C₂×C₂²⋊C₄	—	8	4	no	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₂×C₄²	C₂⁴	1	4	yes	—
839	C₂×C₄²	C₂⁴	1	4	yes	—
840	C₂×C₄²	C₂⁴	1	4	yes	—
841	C₂×C₄²	C₂⁴	1	4	yes	—
842	C₂×C₄²	C₂⁴	1	4	yes	—
843	C₂×C₄²	C₂⁴	1	4	yes	—
844	C₂×C₄²	C₂⁴	1	4	yes	—
845	C₂×C₄²	C₂⁴	1	2	yes	—
846	C₂×C₄²	C₂⁴	1	2	yes	—
847	#95	C₂⁴	1	2	yes	—
848	#95	C₂⁴	1	4	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	2	yes	—
852	#95	C₂⁴	1	4	yes	—
853	#95	C₂⁴	1	4	yes	—
854	#95	C₂⁴	1	2	yes	—
855	#95	C₂⁴	1	2	yes	—
856	#95	C₂⁴	1	2	yes	—
857	#95	C₂⁴	1	2	yes	—
858	#95	C₂⁴	1	4	yes	—
859	#95	C₂⁴	1	4	yes	—
860	#95	C₂⁴	1	4	yes	—
861	#95	C₂⁴	1	4	yes	—
862	#95	C₂⁴	1	4	yes	—
863	#95	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	4	yes	—
866	#95	C₂⁴	1	4	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	2	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	2	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	C₂⁴	—	2	2	no	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	—	2	2	no	—
894	C₂⁴	—	2	4	no	—
895	C₂⁴	—	2	4	no	—
896	C₂⁴	—	2	2	no	—
897	C₂⁴	—	2	4	no	—
898	C₂⁴	—	2	4	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	4	4	no	—
901	C₂⁴	—	4	1	no	—
902	C₂⁴	—	4	1	no	—
903	C₂⁴	—	4	4	no	—
904	C₂⁴	—	4	4	no	—
905	C₂⁴	—	4	2	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	—	4	1	no	—
908	C₂⁴	—	4	1	no	—
909	C₂⁴	—	4	4	no	—
910	C₂⁴	—	4	4	no	—
911	C₂⁴	—	4	4	no	—
912	C₂⁴	—	4	4	no	—
913	C₂⁴	—	4	1	no	—
914	C₂⁴	—	4	4	no	—
915	C₂⁴	—	4	1	no	—
916	C₂⁴	—	4	16	no	—
917	C₂⁴	—	8	16	no	—
918	C₂⁴	—	8	16	no	—
919	C₂⁴	—	8	16	no	—
920	C₂⁴	H(5,𝔽₂)	1	4	yes	—
921	C₂⁴	C₂⁵	1	2	yes	—
922	C₂⁴	C₂⁵	1	2	yes	—
923	C₂⁴	C₂⁵	1	4	yes	—
924	C₂⁴	C₂⁵	1	2	yes	—
925	C₂⁴	C₂⁵	1	1	yes	characteristic
926	C₂⁴	C₂⁵	1	1	yes	characteristic
927	C₂⁴	C₂⁵	1	1	yes	characteristic
928	#41	—	8	16	no	—
929	C₂×Q₈	—	4	2	no	—
930	C₂×Q₈	—	4	4	no	—
931	C₂×D₄	—	2	8	no	—
932	C₂×D₄	—	2	8	no	—
933	C₂×D₄	—	2	8	no	—
934	C₂×D₄	—	2	4	no	—
935	C₂×D₄	—	2	8	no	—
936	C₂×D₄	—	2	8	no	—
937	C₂×D₄	—	2	8	no	—
938	C₂×D₄	—	2	4	no	—
939	C₂×D₄	—	4	4	no	—
940	C₂×D₄	—	4	4	no	—
941	C₂×D₄	—	4	4	no	—
942	C₂×D₄	—	4	2	no	—
943	C₂×D₄	—	4	4	no	—
944	C₂×D₄	—	4	4	no	—
945	C₂×D₄	—	4	4	no	—
946	C₂×D₄	—	4	4	no	—
947	C₂×D₄	—	4	4	no	—
948	C₂×D₄	—	4	4	no	—
949	C₂×D₄	—	4	4	no	—
950	C₂×D₄	—	4	4	no	—
951	C₂×D₄	—	4	4	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	4	4	no	—
954	C₂×D₄	—	4	4	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	—	4	4	no	—
957	C₂×D₄	—	4	4	no	—
958	C₂×D₄	—	4	4	no	—
959	C₂×D₄	—	4	4	no	—
960	C₂×D₄	—	4	2	no	—
961	C₂×D₄	—	4	2	no	—
962	C₂×D₄	—	4	2	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	4	no	—
965	C₂×D₄	—	4	4	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	—	4	4	no	—
968	C₂×D₄	—	4	4	no	—
969	C₂×D₄	—	4	4	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	2	no	—
977	C₂×D₄	—	8	8	no	—
978	C₂×D₄	—	8	16	no	—
979	C₂²×C₄	—	2	4	no	—
980	C₂²×C₄	—	2	4	no	—
981	C₂²×C₄	—	2	4	no	—
982	C₂²×C₄	—	2	4	no	—
983	C₂²×C₄	—	2	4	no	—
984	C₂²×C₄	—	2	4	no	—
985	C₂²×C₄	—	2	4	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	4	4	no	—
988	C₂²×C₄	—	4	4	no	—
989	C₂²×C₄	—	4	1	no	—
990	C₂²×C₄	—	4	2	no	—
991	C₂²×C₄	—	4	4	no	—
992	C₂²×C₄	—	4	4	no	—
993	C₂²×C₄	—	4	4	no	—
994	C₂²×C₄	—	4	4	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	—	4	4	no	—
997	C₂²×C₄	—	4	4	no	—
998	C₂²×C₄	—	4	4	no	—
999	C₂²×C₄	—	4	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	4	no	—
1002	C₂²×C₄	—	4	4	no	—
1003	C₂²×C₄	—	4	1	no	—
1004	C₂²×C₄	—	4	2	no	—
1005	C₂²×C₄	—	4	2	no	—
1006	C₂²×C₄	—	4	2	no	—
1007	C₂²×C₄	—	4	4	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	4	no	—
1010	C₂²×C₄	—	4	2	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	4	no	—
1013	C₂²×C₄	—	4	2	no	—
1014	C₂²×C₄	—	8	16	no	—
1015	C₂²×C₄	C₂⁵	1	2	yes	—
1016	C₂²×C₄	C₂⁵	1	2	yes	—
1017	C₂²×C₄	C₂⁵	1	4	yes	—
1018	C₂²×C₄	C₂⁵	1	2	yes	—
1019	C₂²×C₄	C₂⁵	1	4	yes	—
1020	C₂²×C₄	C₂⁵	1	4	yes	—
1021	C₂²×C₄	C₂⁵	1	2	yes	—
1022	C₂²×C₄	C₂⁵	1	4	yes	—
1023	C₂²×C₄	C₂⁵	1	4	yes	—
1024	C₂²×C₄	C₂⁵	1	4	yes	—
1025	C₂²×C₄	C₂⁵	1	2	yes	—
1026	C₂²×C₄	C₂⁵	1	4	yes	—
1027	C₂²×C₄	C₂⁵	1	4	yes	—
1028	C₂²×C₄	C₂⁵	1	2	yes	—
1029	C₂²×C₄	C₂⁵	1	2	yes	—
1030	C₂²×C₄	C₂⁵	1	4	yes	—
1031	C₄⋊C₄	—	4	4	no	—
1032	C₄⋊C₄	—	4	4	no	—
1033	C₄⋊C₄	—	4	4	no	—
1034	C₄⋊C₄	—	4	4	no	—
1035	C₄⋊C₄	—	4	2	no	—
1036	C₄⋊C₄	—	4	2	no	—
1037	C₄⋊C₄	—	4	2	no	—
1038	C₄⋊C₄	—	4	2	no	—
1039	C₄⋊C₄	—	4	4	no	—
1040	C₄⋊C₄	—	4	4	no	—
1041	C₄⋊C₄	—	4	4	no	—
1042	C₄⋊C₄	—	4	4	no	—
1043	C₄⋊C₄	—	4	4	no	—
1044	C₄⋊C₄	—	4	4	no	—
1045	C₄⋊C₄	—	4	2	no	—
1046	C₄⋊C₄	—	4	2	no	—
1047	C₄⋊C₄	—	4	4	no	—
1048	C₄⋊C₄	—	4	4	no	—
1049	C₄⋊C₄	—	4	4	no	—
1050	C₄⋊C₄	—	4	4	no	—
1051	C₄⋊C₄	—	4	4	no	—
1052	C₄⋊C₄	—	4	4	no	—
1053	C₄⋊C₄	—	4	4	no	—
1054	C₄⋊C₄	—	4	4	no	—
1055	C₄⋊C₄	—	4	4	no	—
1056	C₄⋊C₄	—	4	4	no	—
1057	C₄⋊C₄	—	4	4	no	—
1058	C₄⋊C₄	—	4	4	no	—
1059	C₄⋊C₄	—	4	4	no	—
1060	C₄⋊C₄	—	4	4	no	—
1061	C₄⋊C₄	—	4	4	no	—
1062	C₄⋊C₄	—	4	4	no	—
1063	C₄⋊C₄	—	4	4	no	—
1064	C₄⋊C₄	—	4	4	no	—
1065	C₂²⋊C₄	—	2	8	no	—
1066	C₂²⋊C₄	—	2	4	no	—
1067	C₂²⋊C₄	—	2	8	no	—
1068	C₂²⋊C₄	—	2	8	no	—
1069	C₂²⋊C₄	—	2	8	no	—
1070	C₂²⋊C₄	—	2	8	no	—
1071	C₂²⋊C₄	—	2	4	no	—
1072	C₂²⋊C₄	—	2	8	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	2	no	—
1075	C₂²⋊C₄	—	4	2	no	—
1076	C₂²⋊C₄	—	4	2	no	—
1077	C₂²⋊C₄	—	4	1	no	—
1078	C₂²⋊C₄	—	4	1	no	—
1079	C₂²⋊C₄	—	4	2	no	—
1080	C₂²⋊C₄	—	4	2	no	—
1081	C₂²⋊C₄	—	4	2	no	—
1082	C₂²⋊C₄	—	4	1	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	2	no	—
1085	C₂²⋊C₄	—	4	4	no	—
1086	C₂²⋊C₄	—	4	2	no	—
1087	C₂²⋊C₄	—	4	1	no	—
1088	C₂²⋊C₄	—	4	4	no	—
1089	C₂²⋊C₄	—	4	2	no	—
1090	C₂²⋊C₄	—	4	4	no	—
1091	C₂²⋊C₄	—	4	4	no	—
1092	C₂²⋊C₄	—	4	4	no	—
1093	C₂²⋊C₄	—	4	4	no	—
1094	C₂²⋊C₄	—	4	4	no	—
1095	C₂²⋊C₄	—	4	4	no	—
1096	C₂²⋊C₄	—	4	4	no	—
1097	C₂²⋊C₄	—	4	4	no	—
1098	C₂²⋊C₄	—	4	4	no	—
1099	C₂²⋊C₄	—	4	4	no	—
1100	C₂²⋊C₄	—	4	4	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	4	4	no	—
1104	C₂²⋊C₄	—	4	4	no	—
1105	C₂²⋊C₄	—	4	4	no	—
1106	C₂²⋊C₄	—	4	4	no	—
1107	C₂²⋊C₄	—	4	4	no	—
1108	C₂²⋊C₄	—	4	4	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	4	no	—
1111	C₂²⋊C₄	—	4	4	no	—
1112	C₂²⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	4	4	no	—
1114	C₂²⋊C₄	—	4	4	no	—
1115	C₂²⋊C₄	—	4	4	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	2	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	2	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₄²	—	4	4	no	—
1136	C₄²	—	4	4	no	—
1137	C₄²	—	4	4	no	—
1138	C₄²	—	4	4	no	—
1139	C₄²	—	4	4	no	—
1140	C₄²	—	4	4	no	—
1141	C₄²	—	4	4	no	—
1142	C₄²	—	4	2	no	—
1143	C₄²	—	4	2	no	—
1144	C₂³	—	2	8	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	4	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	4	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	4	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	4	no	—
1167	C₂³	—	2	4	no	—
1168	C₂³	—	2	4	no	—
1169	C₂³	—	2	4	no	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	4	8	no	—
1176	C₂³	—	4	4	no	—
1177	C₂³	—	4	8	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	8	no	—
1180	C₂³	—	4	4	no	—
1181	C₂³	—	4	8	no	—
1182	C₂³	—	4	8	no	—
1183	C₂³	—	4	8	no	—
1184	C₂³	—	8	4	no	—
1185	C₂³	—	8	8	no	—
1186	C₂³	—	8	4	no	—
1187	C₂³	—	8	8	no	—
1188	C₂³	—	8	4	no	—
1189	C₂³	—	8	4	no	—
1190	C₂³	—	8	4	no	—
1191	C₂³	—	8	4	no	—
1192	C₂³	—	8	2	no	—
1193	C₂³	—	8	4	no	—
1194	C₂³	—	8	8	no	—
1195	C₂³	—	8	8	no	—
1196	C₂³	—	8	4	no	—
1197	C₂³	—	8	4	no	—
1198	C₂³	—	8	4	no	—
1199	C₂³	—	8	64	no	—
1200	C₂³	—	16	2	no	—
1201	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1202	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1203	C₂³	#585	1	2	yes	—
1204	C₂³	#585	1	2	yes	—
1205	C₂³	C₂⁶	1	1	yes	characteristic
1206	Q₈	—	8	4	no	—
1207	D₄	—	8	8	no	—
1208	D₄	—	8	8	no	—
1209	D₄	—	8	8	no	—
1210	D₄	—	8	8	no	—
1211	D₄	—	8	4	no	—
1212	D₄	—	8	4	no	—
1213	D₄	—	8	8	no	—
1214	D₄	—	8	8	no	—
1215	D₄	—	8	8	no	—
1216	D₄	—	8	8	no	—
1217	D₄	—	8	4	no	—
1218	D₄	—	16	4	no	—
1219	D₄	—	16	2	no	—
1220	D₄	—	16	4	no	—
1221	D₄	—	16	2	no	—
1222	D₄	—	16	4	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	4	no	—
1225	C₂×C₄	—	2	4	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	4	no	—
1228	C₂×C₄	—	2	4	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	4	no	—
1234	C₂×C₄	—	2	4	no	—
1235	C₂×C₄	—	2	4	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	4	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	4	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	4	8	no	—
1266	C₂×C₄	—	4	8	no	—
1267	C₂×C₄	—	8	4	no	—
1268	C₂×C₄	—	8	4	no	—
1269	C₂×C₄	—	8	4	no	—
1270	C₂×C₄	—	8	4	no	—
1271	C₂×C₄	—	8	4	no	—
1272	C₂×C₄	—	8	2	no	—
1273	C₂×C₄	—	8	8	no	—
1274	C₂×C₄	—	8	4	no	—
1275	C₂×C₄	—	8	8	no	—
1276	C₂×C₄	—	16	2	no	—
1277	C₂×C₄	—	16	2	no	—
1278	C₂×C₄	—	16	2	no	—
1279	C₂×C₄	—	16	4	no	—
1280	C₂²	—	2	4	no	—
1281	C₂²	—	2	4	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	2	2	no	—
1285	C₂²	—	2	4	no	—
1286	C₂²	—	2	4	no	—
1287	C₂²	—	2	4	no	—
1288	C₂²	—	2	4	no	—
1289	C₂²	—	4	16	no	—
1290	C₂²	—	4	2	no	—
1291	C₂²	—	4	2	no	—
1292	C₂²	—	4	2	no	—
1293	C₂²	—	4	4	no	—
1294	C₂²	—	4	4	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	4	no	—
1299	C₂²	—	4	2	no	—
1300	C₂²	—	4	4	no	—
1301	C₂²	—	4	4	no	—
1302	C₂²	—	4	4	no	—
1303	C₂²	—	4	4	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	4	2	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	4	2	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	4	no	—
1312	C₂²	—	4	2	no	—
1313	C₂²	—	4	4	no	—
1314	C₂²	—	4	2	no	—
1315	C₂²	—	8	8	no	—
1316	C₂²	—	8	16	no	—
1317	C₂²	—	8	16	no	—
1318	C₂²	—	8	8	no	—
1319	C₂²	—	16	4	no	—
1320	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1321	C₂²	C₂×#585	1	1	yes	characteristic
1322	C₂²	C₂×#585	1	1	yes	characteristic
1323	C₂²	H(7,𝔽₂)	1	4	yes	—
1324	C₄	—	4	2	no	—
1325	C₄	—	4	4	no	—
1326	C₄	—	4	4	no	—
1327	C₄	—	4	2	no	—
1328	C₄	—	4	4	no	—
1329	C₄	—	4	4	no	—
1330	C₄	—	4	4	no	—
1331	C₄	—	4	2	no	—
1332	C₄	—	4	4	no	—
1333	C₄	—	4	2	no	—
1334	C₄	—	4	2	no	—
1335	C₄	—	4	2	no	—
1336	C₄	—	4	2	no	—
1337	C₄	—	4	4	no	—
1338	C₄	—	4	4	no	—
1339	C₄	—	4	4	no	—
1340	C₂	—	4	2	no	—
1341	C₂	—	4	4	no	—
1342	C₂	—	4	2	no	—
1343	C₂	—	4	2	no	—
1344	C₂	—	8	4	no	—
1345	C₂	—	8	2	no	—
1346	C₂	—	8	2	no	—
1347	C₂	#62820	1	1	yes	characteristic
1348	C₂	#62862	1	2	yes	—
1349	C₂	#63042	1	2	yes	—
1350	C₂	#63042	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. #58387	C₂	semidirect
2. #58258	C₂	semidirect
3. #56635	C₂	semidirect
4. #56584	C₂	semidirect
5. #56293	C₂	semidirect
6. #56074	C₂	semidirect
7. #53945	C₂	semidirect
8. #53400	C₂	semidirect
9. #49292	C₂	semidirect
10. #48795	C₂	semidirect
11. #48707	C₂	semidirect
12. #48058	C₂	semidirect
13. #47053	C₂	semidirect
14. #47037	C₂	semidirect
15. #47031	C₂	semidirect
16. #46999	C₂	semidirect
17. #46627	C₂	semidirect
18. #45461	C₂	semidirect
19. #45457	C₂	semidirect
20. #45441	C₂	semidirect
21. #45438	C₂	semidirect
22. #35050	C₂	semidirect
23. #34992	C₂	semidirect
25. C₂×#525	C₂²	semidirect
29. #2849	C₂²	semidirect
31. #2842	C₂²	semidirect
32. #2842	C₂²	semidirect
33. #2837	C₂²	semidirect
34. #2835	C₂²	semidirect
35. #2831	C₂²	semidirect
36. #2827	C₂²	semidirect
37. #2826	C₂²	semidirect
38. #2826	C₂²	semidirect
39. #2815	C₂²	semidirect
40. #2813	C₂²	semidirect
42. #2812	C₂²	semidirect
43. #2803	C₂²	semidirect
44. #2800	C₂²	semidirect
45. #2796	C₂²	semidirect
46. #2783	C₂²	semidirect
47. #2779	C₂²	semidirect
48. #2775	C₂²	semidirect
49. #2772	C₂²	semidirect
50. #2771	C₂²	semidirect
51. #2771	C₂²	semidirect
52. #2771	C₂²	semidirect
53. #2768	C₂²	semidirect
54. #2756	C₂²	semidirect
55. #2753	C₂²	semidirect
56. #2752	C₂²	semidirect
57. #2750	C₂²	semidirect
58. #2750	C₂²	semidirect
59. #2749	C₂²	semidirect
60. #2748	C₂²	semidirect
61. #2743	C₂²	semidirect
62. #2743	C₂²	semidirect
63. #2743	C₂²	semidirect
64. #2743	C₂²	semidirect
65. #2743	C₂²	semidirect
66. #2742	C₂²	semidirect
67. #2742	C₂²	semidirect
68. #2739	C₂²	semidirect
69. #2739	C₂²	semidirect
71. #2735	C₂²	semidirect
72. #2727	C₂²	semidirect
73. #2725	C₂²	semidirect
74. #2724	C₂²	semidirect
75. #2714	C₂²	semidirect
76. #2711	C₂²	semidirect
77. #2709	C₂²	semidirect
78. #2709	C₂²	semidirect
79. #2706	C₂²	semidirect
80. #2706	C₂²	semidirect
81. #2705	C₂²	semidirect
82. #2705	C₂²	semidirect
83. #2703	C₂²	semidirect
84. #2701	C₂²	semidirect
85. #2699	C₂²	semidirect
86. #2698	C₂²	semidirect
87. #2698	C₂²	semidirect
90. #2695	C₂²	semidirect
91. #2695	C₂²	semidirect
92. #2695	C₂²	semidirect
93. #2694	C₂²	semidirect
94. #2693	C₂²	semidirect
95. #2691	C₂²	semidirect
96. #2688	C₂²	semidirect
97. #2688	C₂²	semidirect
98. #2686	C₂²	semidirect
101. #2685	C₂²	semidirect
102. #2685	C₂²	semidirect
103. #2682	C₂²	semidirect
104. #2682	C₂²	semidirect
108. #2673	C₂²	semidirect
109. #2672	C₂²	semidirect
110. #2672	C₂²	semidirect
111. #2670	C₂²	semidirect
115. #2668	C₂²	semidirect
116. #2668	C₂²	semidirect
117. #2667	C₂²	semidirect
118. #2662	C₂²	semidirect
119. #2654	C₂²	semidirect
120. #2644	C₂²	semidirect
121. #2636	C₂²	semidirect
122. #2635	C₂²	semidirect
124. #2626	C₂²	semidirect
125. #2624	C₂²	semidirect
128. #2617	C₂²	semidirect
129. #2611	C₂²	semidirect
130. #2607	C₂²	semidirect
131. #2603	C₂²	semidirect
132. #2598	C₂²	semidirect
133. #2595	C₂²	semidirect
134. #2573	C₂²	semidirect
135. #2573	C₂²	semidirect
137. #2561	C₂²	semidirect
138. #2559	C₂²	semidirect
139. #2558	C₂²	semidirect
140. #2558	C₂²	semidirect
141. #2557	C₂²	semidirect
144. #2539	C₂²	semidirect
146. #2534	C₂²	semidirect
147. #2534	C₂²	semidirect
148. #2531	C₂²	semidirect
149. #2526	C₂²	semidirect
150. #2526	C₂²	semidirect
151. #2516	C₂²	semidirect
152. #2515	C₂²	semidirect
153. #2487	C₂²	semidirect
156. #2483	C₂²	semidirect
159. #2482	C₂²	semidirect
160. #2481	C₂²	semidirect
162. #2480	C₂²	semidirect
163. #2479	C₂²	semidirect
164. #2479	C₂²	semidirect
165. #2470	C₂²	semidirect
166. #2470	C₂²	semidirect
167. #2470	C₂²	semidirect
168. #2466	C₂²	semidirect
169. #2466	C₂²	semidirect
170. #2464	C₂²	semidirect
171. #2464	C₂²	semidirect
172. #2457	C₂²	semidirect
173. #2457	C₂²	semidirect
174. #2457	C₂²	semidirect
175. #2455	C₂²	semidirect
176. #2454	C₂²	semidirect
177. #2443	C₂²	semidirect
178. #2443	C₂²	semidirect
180. #2431	C₂²	semidirect
182. #2424	C₂²	semidirect
183. #2420	C₂²	semidirect
184. #2420	C₂²	semidirect
187. #2418	C₂²	semidirect
188. #2416	C₂²	semidirect
192. #2411	C₂²	semidirect
193. #2411	C₂²	semidirect
196. #2406	C₂²	semidirect
201. #2404	C₂²	semidirect
202. #2377	C₂²	semidirect
203. #2376	C₂²	semidirect
205. #2375	C₂²	semidirect
206. #2366	C₂²	semidirect
207. #2346	C₂²	semidirect
208. #2333	C₂²	semidirect
209. #2322	C₂²	semidirect
211. #2321	C₂²	semidirect
214. #2312	C₂²	semidirect
217. #2280	C₂²	semidirect
229. C₂×#126	C₂³	semidirect
230. C₂×#126	C₂³	semidirect
231. C₂×#125	C₂³	semidirect
232. C₂×#124	C₂³	semidirect
244. C₂×#123	C₂³	semidirect
257. C₂×#121	C₂³	semidirect
274. C₂×C₄×D₄	C₂³	semidirect
278. C₂²×C₄⋊C₄	C₂³	semidirect
293. #400	C₂³	semidirect
294. #400	C₂³	semidirect
295. #400	C₂³	semidirect
296. #400	C₂³	semidirect
297. #400	C₂³	semidirect
298. #400	C₂³	semidirect
299. #400	C₂³	semidirect
300. #400	C₂³	semidirect
301. #400	C₂³	semidirect
302. #400	C₂³	semidirect
303. #400	C₂³	semidirect
304. #400	C₂³	semidirect
305. #400	C₂³	semidirect
306. #400	C₂³	semidirect
317. #399	C₂³	semidirect
318. #399	C₂³	semidirect
319. #399	C₂³	semidirect
320. #399	C₂³	semidirect
321. #398	C₂³	semidirect
322. #398	C₂³	semidirect
323. #398	C₂³	semidirect
324. #398	C₂³	semidirect
325. #398	C₂³	semidirect
326. #398	C₂³	semidirect
327. #398	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
364. #396	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
367. #396	C₂³	semidirect
368. #396	C₂³	semidirect
369. #396	C₂³	semidirect
370. #395	C₂³	semidirect
371. #395	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
423. #392	C₂³	semidirect
424. #392	C₂³	semidirect
425. #391	C₂³	semidirect
440. #390	C₂³	semidirect
441. #390	C₂³	semidirect
442. #389	C₂³	semidirect
443. #389	C₂³	semidirect
444. #389	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
451. #389	C₂³	semidirect
452. #389	C₂³	semidirect
453. #389	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	C₂³	semidirect
491. #388	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
495. #387	C₂³	semidirect
496. #387	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
533. #386	C₂³	semidirect
534. #386	C₂³	semidirect
535. #386	C₂³	semidirect
536. #386	C₂³	semidirect
537. #386	C₂³	semidirect
538. #386	C₂³	semidirect
539. #386	C₂³	semidirect
556. #385	C₂³	semidirect
557. #385	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #385	C₂³	semidirect
564. #383	C₂³	semidirect
565. #382	C₂³	semidirect
566. #382	C₂³	semidirect
577. #381	C₂³	semidirect
578. #381	C₂³	semidirect
579. #381	C₂³	semidirect
588. #380	C₂³	semidirect
589. #380	C₂³	semidirect
590. #380	C₂³	semidirect
591. #380	C₂³	semidirect
607. C₄×C₄⋊C₄	C₂³	semidirect
608. C₄×C₄⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#58387	2
#58258	2
#56635	2
#56584	2
#56293	2
#56074	2
#53945	2
#53400	2
#49292	2
#48795	2
#48707	2
#48058	2
#47053	2
#47037	2
#47031	2
#46999	2
#46627	2
#45461	2
#45457	2
#45441	2
#45438	2
#35050	2
#34992	2