Subgroups — #8687371

Order 512.

6882 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57971	C₂	1	4	yes	maximal, complemented
2	#57188	C₂	1	4	yes	maximal, complemented
3	#56545	C₂	1	2	yes	maximal, complemented
4	#56413	C₂	1	2	yes	maximal, complemented
5	#56394	C₂	1	4	yes	maximal, complemented
6	#56339	C₂	1	4	yes	maximal, complemented
7	#56290	C₂	1	4	yes	maximal, complemented
8	#45508	C₂	1	2	yes	maximal, complemented
9	#45479	C₂	1	1	yes	maximal, characteristic, complemented
10	#45457	C₂	1	2	yes	maximal, complemented
11	#45439	C₂	1	4	yes	maximal, complemented
12	#45355	C₂	1	1	yes	maximal, characteristic, complemented
13	#45214	C₂	1	1	yes	maximal, characteristic, complemented
14	#45049	C₂	1	2	yes	maximal, complemented
15	#45013	C₂	1	2	yes	maximal, complemented
16	#44929	C₂	1	2	yes	maximal, complemented
17	#44877	C₂	1	2	yes	maximal, complemented
18	#44874	C₂	1	2	yes	maximal, complemented
19	#42966	C₂	1	1	yes	maximal, characteristic, complemented
20	#42677	C₂	1	1	yes	maximal, characteristic, complemented
21	#42619	C₂	1	2	yes	maximal, complemented
22	#42575	C₂	1	2	yes	maximal, complemented
23	#42532	C₂	1	2	yes	maximal, complemented
24	#42475	C₂	1	2	yes	maximal, complemented
25	#42426	C₂	1	2	yes	maximal, complemented
26	#37436	C₂	1	2	yes	maximal, complemented
27	#36676	C₂	1	1	yes	maximal, characteristic, complemented
28	#36152	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×#120	C₂	1	2	yes	maximal, complemented
30	C₂⁴×D₄	C₂²	1	1	yes	characteristic, complemented
31	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
32	C₂×#555	C₂²	1	1	yes	characteristic, complemented
33	C₂×#546	C₂²	1	2	yes	complemented
34	C₂×#546	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄²	C₂²	1	2	yes	—
36	C₂×D₄²	C₂²	1	2	yes	complemented
37	C₂×D₄²	C₂²	1	2	yes	complemented
38	C₂×D₄²	C₂²	1	2	yes	complemented
39	C₂×#542	C₂²	1	2	yes	complemented
40	C₂×#535	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#120	C₂²	1	4	yes	complemented
42	#2848	C₂²	1	1	yes	characteristic, complemented
43	#2847	C₂²	1	2	yes	complemented
44	#2846	C₂²	1	2	yes	complemented
45	#2846	C₂²	1	4	yes	complemented
46	#2842	C₂²	1	1	yes	characteristic, complemented
47	#2834	C₂²	1	1	yes	characteristic, complemented
48	#2827	C₂²	1	2	yes	complemented
49	#2827	C₂²	1	2	yes	complemented
50	#2827	C₂²	1	2	yes	complemented
51	#2826	C₂²	1	2	yes	complemented
52	#2826	C₂²	1	1	yes	characteristic, complemented
53	#2825	C₂²	1	2	yes	complemented
54	#2825	C₂²	1	4	yes	complemented
55	#2824	C₂²	1	4	yes	complemented
56	#2824	C₂²	1	4	yes	complemented
57	#2816	C₂²	1	4	yes	complemented
58	#2815	C₂²	1	2	yes	complemented
59	#2813	C₂²	1	2	yes	complemented
60	#2812	C₂²	1	1	yes	characteristic, complemented
61	#2812	C₂²	1	4	yes	complemented
62	#2812	C₂²	1	2	yes	complemented
63	#2812	C₂²	1	2	yes	complemented
64	#2812	C₂²	1	4	yes	complemented
65	#2797	C₂²	1	4	yes	complemented
66	#2797	C₂²	1	4	yes	complemented
67	#2796	C₂²	1	4	yes	complemented
68	#2778	C₂²	1	4	yes	complemented
69	#2778	C₂²	1	4	yes	complemented
70	#2778	C₂²	1	4	yes	complemented
71	#2760	C₂²	1	4	yes	complemented
72	#2757	C₂²	1	4	yes	complemented
73	#2756	C₂²	1	4	yes	complemented
74	#2749	C₂²	1	4	yes	complemented
75	#2749	C₂²	1	4	yes	complemented
76	#2746	C₂²	1	4	yes	complemented
77	#2735	C₂²	1	4	yes	complemented
78	#2735	C₂²	1	2	yes	complemented
79	#2730	C₂²	1	4	yes	complemented
80	#2728	C₂²	1	2	yes	complemented
81	#2712	C₂²	1	4	yes	complemented
82	#2712	C₂²	1	2	yes	complemented
83	#2710	C₂²	1	4	yes	complemented
84	#2703	C₂²	1	4	yes	complemented
85	#2703	C₂²	1	4	yes	complemented
86	#2699	C₂²	1	4	yes	complemented
87	#2697	C₂²	1	4	yes	complemented
88	#2697	C₂²	1	4	yes	complemented
89	#2696	C₂²	1	4	yes	complemented
90	#2696	C₂²	1	4	yes	complemented
91	#2691	C₂²	1	4	yes	complemented
92	#2687	C₂²	1	4	yes	complemented
93	#2685	C₂²	1	4	yes	complemented
94	#2685	C₂²	1	4	yes	complemented
95	#2685	C₂²	1	4	yes	complemented
96	#2684	C₂²	1	4	yes	complemented
97	#2684	C₂²	1	4	yes	complemented
98	#2684	C₂²	1	4	yes	complemented
99	#2684	C₂²	1	2	yes	complemented
100	#2684	C₂²	1	4	yes	complemented
101	#2684	C₂²	1	4	yes	complemented
102	#2684	C₂²	1	4	yes	complemented
103	#2681	C₂²	1	4	yes	complemented
104	#2679	C₂²	1	4	yes	complemented
105	#2679	C₂²	1	4	yes	complemented
106	#2679	C₂²	1	4	yes	complemented
107	#2678	C₂²	1	4	yes	complemented
108	#2678	C₂²	1	4	yes	complemented
109	#2678	C₂²	1	4	yes	complemented
110	#2678	C₂²	1	4	yes	complemented
111	#2678	C₂²	1	4	yes	complemented
112	#2676	C₂²	1	4	yes	complemented
113	#2671	C₂²	1	4	yes	complemented
114	#2670	C₂²	1	4	yes	complemented
115	#2670	C₂²	1	4	yes	complemented
116	#2670	C₂²	1	4	yes	complemented
117	#2670	C₂²	1	4	yes	complemented
118	#2670	C₂²	1	4	yes	complemented
119	#2670	C₂²	1	4	yes	complemented
120	#2670	C₂²	1	4	yes	complemented
121	#2668	C₂²	1	2	yes	complemented
122	#2668	C₂²	1	4	yes	complemented
123	#2668	C₂²	1	4	yes	complemented
124	#2668	C₂²	1	2	yes	complemented
125	#2661	C₂²	1	4	yes	complemented
126	#2661	C₂²	1	2	yes	complemented
127	#2653	C₂²	1	4	yes	complemented
128	#2648	C₂²	1	4	yes	complemented
129	#2640	C₂²	1	1	yes	characteristic, complemented
130	#2631	C₂²	1	4	yes	complemented
131	#2624	C₂²	1	1	yes	characteristic, complemented
132	#2624	C₂²	1	2	yes	complemented
133	#2622	C₂²	1	4	yes	complemented
134	#2622	C₂²	1	4	yes	complemented
135	#2619	C₂²	1	2	yes	complemented
136	#2617	C₂²	1	4	yes	complemented
137	#2617	C₂²	1	2	yes	complemented
138	#2617	C₂²	1	2	yes	complemented
139	#2613	C₂²	1	4	yes	complemented
140	#2613	C₂²	1	4	yes	complemented
141	#2613	C₂²	1	4	yes	complemented
142	#2572	C₂²	1	2	yes	complemented
143	#2563	C₂²	1	2	yes	complemented
144	#2559	C₂²	1	4	yes	complemented
145	#2557	C₂²	1	4	yes	complemented
146	#2548	C₂²	1	2	yes	complemented
147	#2547	C₂²	1	2	yes	complemented
148	#2547	C₂²	1	1	yes	characteristic, complemented
149	#2544	C₂²	1	2	yes	complemented
150	#2540	C₂²	1	2	yes	complemented
151	#2540	C₂²	1	1	yes	characteristic, complemented
152	#2539	C₂²	1	2	yes	complemented
153	#2536	C₂²	1	2	yes	complemented
154	#2535	C₂²	1	2	yes	complemented
155	#2535	C₂²	1	2	yes	complemented
156	#2534	C₂²	1	4	yes	complemented
157	#2513	C₂²	1	2	yes	complemented
158	#2495	C₂²	1	2	yes	complemented
159	#2494	C₂²	1	2	yes	complemented
160	#2491	C₂²	1	2	yes	complemented
161	#2491	C₂²	1	2	yes	complemented
162	#2491	C₂²	1	2	yes	complemented
163	#2491	C₂²	1	2	yes	complemented
164	#2485	C₂²	1	2	yes	complemented
165	#2483	C₂²	1	2	yes	complemented
166	#2482	C₂²	1	2	yes	complemented
167	#2480	C₂²	1	4	yes	complemented
168	#2476	C₂²	1	4	yes	complemented
169	#2472	C₂²	1	4	yes	complemented
170	#2472	C₂²	1	4	yes	complemented
171	#2472	C₂²	1	4	yes	complemented
172	#2472	C₂²	1	4	yes	complemented
173	#2472	C₂²	1	4	yes	complemented
174	#2472	C₂²	1	4	yes	complemented
175	#2457	C₂²	1	4	yes	complemented
176	#2452	C₂²	1	2	yes	complemented
177	#2452	C₂²	1	2	yes	complemented
178	#2445	C₂²	1	2	yes	complemented
179	#2445	C₂²	1	2	yes	complemented
180	#2445	C₂²	1	2	yes	complemented
181	#2435	C₂²	1	1	yes	characteristic, complemented
182	#2435	C₂²	1	2	yes	complemented
183	#2435	C₂²	1	4	yes	complemented
184	#2435	C₂²	1	4	yes	complemented
185	#2435	C₂²	1	4	yes	complemented
186	#2435	C₂²	1	2	yes	complemented
187	#2433	C₂²	1	2	yes	—
188	#2433	C₂²	1	2	yes	—
189	#2433	C₂²	1	2	yes	complemented
190	#2433	C₂²	1	1	yes	characteristic, complemented
191	#2428	C₂²	1	2	yes	complemented
192	#2427	C₂²	1	2	yes	complemented
193	#2426	C₂²	1	2	yes	complemented
194	#2424	C₂²	1	4	yes	complemented
195	#2421	C₂²	1	2	yes	complemented
196	#2420	C₂²	1	2	yes	complemented
197	#2420	C₂²	1	2	yes	complemented
198	#2418	C₂²	1	4	yes	complemented
199	#2415	C₂²	1	2	yes	complemented
200	#2414	C₂²	1	2	yes	complemented
201	#2414	C₂²	1	2	yes	complemented
202	#2412	C₂²	1	4	yes	complemented
203	#2412	C₂²	1	4	yes	complemented
204	#2411	C₂²	1	4	yes	complemented
205	#2410	C₂²	1	2	yes	complemented
206	#2410	C₂²	1	4	yes	complemented
207	#2410	C₂²	1	4	yes	complemented
208	#2410	C₂²	1	4	yes	complemented
209	#2410	C₂²	1	4	yes	complemented
210	#2410	C₂²	1	4	yes	complemented
211	#2410	C₂²	1	4	yes	complemented
212	#2408	C₂²	1	1	yes	characteristic
213	#2408	C₂²	1	2	yes	complemented
214	#2408	C₂²	1	2	yes	complemented
215	#2408	C₂²	1	2	yes	complemented
216	#2408	C₂²	1	2	yes	complemented
217	#2408	C₂²	1	1	yes	characteristic, complemented
218	#2408	C₂²	1	2	yes	complemented
219	#2408	C₂²	1	4	yes	complemented
220	#2408	C₂²	1	2	yes	complemented
221	#2407	C₂²	1	2	yes	complemented
222	#2405	C₂²	1	4	yes	complemented
223	#2405	C₂²	1	2	yes	complemented
224	#2405	C₂²	1	4	yes	complemented
225	#2403	C₂²	1	4	yes	complemented
226	#2403	C₂²	1	4	yes	complemented
227	#2403	C₂²	1	4	yes	complemented
228	#2403	C₂²	1	4	yes	complemented
229	#2403	C₂²	1	4	yes	complemented
230	#2403	C₂²	1	4	yes	complemented
231	#2403	C₂²	1	2	yes	complemented
232	#2403	C₂²	1	2	yes	complemented
233	#2401	C₂²	1	2	yes	complemented
234	#2397	C₂²	1	1	yes	characteristic, complemented
235	#2395	C₂²	1	2	yes	complemented
236	#2395	C₂²	1	1	yes	characteristic, complemented
237	#2392	C₂²	1	2	yes	complemented
238	#2392	C₂²	1	2	yes	complemented
239	#2392	C₂²	1	2	yes	complemented
240	#2375	C₂²	1	4	yes	complemented
241	#2367	C₂²	1	2	yes	complemented
242	#2366	C₂²	1	2	yes	complemented
243	#2363	C₂²	1	2	yes	complemented
244	#2357	C₂²	1	2	yes	complemented
245	#2341	C₂²	1	1	yes	characteristic, complemented
246	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
247	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
248	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
249	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
250	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
251	#2328	C₂²	1	2	yes	complemented
252	#2324	C₂²	1	2	yes	complemented
253	#2324	C₂²	1	2	yes	complemented
254	#2319	C₂²	1	1	yes	characteristic, complemented
255	#2309	C₂²	1	2	yes	complemented
256	C₄×#120	C₂²	1	1	yes	characteristic, complemented
257	C₄×#120	C₂²	1	2	yes	complemented
258	C₂×#379	C₂²	1	2	yes	complemented
259	C₂⁶	C₂³	1	2	yes	—
260	C₂²×#41	C₂³	1	1	yes	characteristic
261	C₂³×D₄	—	4	8	no	—
262	C₂³×D₄	—	4	4	no	—
263	C₂³×D₄	C₂³	1	1	yes	characteristic
264	C₂³×D₄	C₂³	1	2	yes	—
265	C₂³×D₄	C₂³	1	2	yes	—
266	C₂³×D₄	C₂³	1	1	yes	characteristic
267	C₂³×D₄	C₂³	1	2	yes	—
268	C₂³×D₄	C₂³	1	4	yes	—
269	C₂³×D₄	C₂³	1	2	yes	—
270	C₂³×D₄	C₂³	1	4	yes	—
271	C₂³×D₄	C₂³	1	4	yes	—
272	C₂³×D₄	C₂³	1	4	yes	—
273	C₂³×D₄	C₂³	1	1	yes	characteristic, complemented
274	C₂³×D₄	C₂³	1	4	yes	complemented
275	C₂⁴×C₄	C₂³	1	1	yes	characteristic
276	H(3,𝔽₄)	—	4	8	no	—
277	#555	—	4	4	no	—
278	#546	—	4	4	no	—
279	#546	—	4	8	no	—
280	D₄²	—	4	8	no	—
281	D₄²	—	4	8	no	—
282	D₄²	—	4	8	no	—
283	D₄²	—	4	8	no	—
284	#542	—	4	8	no	—
285	#535	—	4	4	no	—
286	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
287	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
288	C₂×#127	C₂³	1	2	yes	—
289	C₂×#127	C₂³	1	2	yes	—
290	C₂×#127	C₂³	1	2	yes	—
291	C₂×#126	C₂³	1	4	yes	complemented
292	C₂×#124	C₂³	1	2	yes	—
293	C₂×#124	C₂³	1	1	yes	characteristic
294	C₂×#124	C₂³	1	2	yes	—
295	C₂×#124	C₂³	1	4	yes	—
296	C₂×#124	C₂³	1	4	yes	—
297	C₂×#124	C₂³	1	4	yes	—
298	C₂×#124	C₂³	1	4	yes	—
299	C₂×#124	C₂³	1	4	yes	complemented
300	C₂×#124	C₂³	1	4	yes	complemented
301	C₂×#124	C₂³	1	2	yes	complemented
302	C₂×#124	C₂³	1	4	yes	complemented
303	C₂×#123	C₂³	1	2	yes	—
304	C₂×#123	C₂³	1	4	yes	—
305	C₂×#123	C₂³	1	4	yes	complemented
306	C₂×#123	C₂³	1	4	yes	complemented
307	C₂×#123	C₂³	1	4	yes	complemented
308	C₂×#123	C₂³	1	4	yes	complemented
309	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
311	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
312	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
313	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
314	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
315	C₂×#121	C₂³	1	2	yes	—
316	C₂×#121	C₂³	1	2	yes	—
317	C₂×#121	C₂³	1	2	yes	—
318	C₂×#121	C₂³	1	4	yes	—
319	C₂×#121	C₂³	1	2	yes	—
320	C₂×#121	C₂³	1	2	yes	—
321	C₂×#121	C₂³	1	2	yes	—
322	C₂×#121	C₂³	1	2	yes	—
323	C₂×#121	C₂³	1	1	yes	characteristic
324	C₂×#121	C₂³	1	2	yes	—
325	C₂×#121	C₂³	1	4	yes	—
326	C₂×#121	C₂³	1	4	yes	—
327	C₂×#121	C₂³	1	4	yes	—
328	C₂×#121	C₂³	1	2	yes	complemented
329	C₂×#121	C₂³	1	2	yes	complemented
330	C₂×#121	C₂³	1	2	yes	complemented
331	C₂×#121	C₂³	1	4	yes	complemented
332	C₂×#121	C₂³	1	2	yes	complemented
333	C₂×#121	C₂³	1	4	yes	complemented
334	C₂×#120	—	4	16	no	—
335	C₂×#120	C₂³	1	1	yes	characteristic
336	C₂×#120	C₂³	1	4	yes	—
337	C₂×#120	C₂³	1	2	yes	—
338	C₂×#120	C₂³	1	4	yes	—
339	C₂×#120	C₂³	1	4	yes	—
340	C₂×#120	C₂³	1	4	yes	—
341	C₂×#120	C₂³	1	2	yes	—
342	C₂×#120	C₂³	1	4	yes	—
343	C₂×#120	C₂³	1	4	yes	—
344	C₂×#120	C₂³	1	4	yes	—
345	C₂×#120	C₂³	1	4	yes	—
346	C₂×#120	C₂³	1	4	yes	—
347	C₂×#120	C₂³	1	4	yes	—
348	C₂×#120	C₂³	1	4	yes	—
349	C₂×#120	C₂³	1	4	yes	—
350	C₂×#120	C₂³	1	2	yes	—
351	C₂×#120	C₂³	1	4	yes	—
352	C₂×#120	C₂³	1	4	yes	—
353	C₂×#120	C₂³	1	4	yes	—
354	C₂×#120	C₂³	1	2	yes	—
355	C₂×#120	C₂³	1	4	yes	—
356	C₂×#120	C₂³	1	4	yes	—
357	C₂×#120	C₂³	1	4	yes	—
358	C₂×#120	C₂³	1	4	yes	—
359	C₂×#120	C₂³	1	4	yes	complemented
360	C₂×#120	C₂³	1	4	yes	complemented
361	C₂×#120	C₂³	1	4	yes	complemented
362	C₂×#120	C₂³	1	4	yes	complemented
363	C₂×#120	C₂³	1	4	yes	complemented
364	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
365	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
366	C₂×C₄×D₄	C₂³	1	2	yes	—
367	C₂×C₄×D₄	C₂³	1	2	yes	—
368	C₂×C₄×D₄	C₂³	1	2	yes	—
369	C₂×C₄×D₄	C₂³	1	2	yes	—
370	C₂×C₄×D₄	C₂³	1	2	yes	—
371	C₂×C₄×D₄	C₂³	1	2	yes	—
372	C₂×C₄×D₄	C₂³	1	2	yes	—
373	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
374	C₂×C₄×D₄	C₂³	1	2	yes	—
375	C₂×C₄×D₄	C₂³	1	2	yes	complemented
376	C₂×C₄×D₄	C₂³	1	2	yes	complemented
377	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
378	C₂×C₄×D₄	C₂³	1	4	yes	complemented
379	C₂×#117	C₂³	1	2	yes	complemented
380	C₂×#117	C₂³	1	2	yes	complemented
381	C₂×#117	C₂³	1	1	yes	characteristic, complemented
382	C₂×#117	C₂³	1	2	yes	complemented
383	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
384	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
385	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
386	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
387	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
388	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
389	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
390	#401	C₂³	1	2	yes	complemented
391	#401	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	1	yes	characteristic, complemented
399	#399	C₂³	1	2	yes	—
400	#399	C₂³	1	1	yes	characteristic
401	#399	C₂³	1	1	yes	characteristic
402	#399	C₂³	1	2	yes	complemented
403	#399	C₂³	1	4	yes	complemented
404	#399	C₂³	1	1	yes	characteristic, complemented
405	#399	C₂³	1	2	yes	complemented
406	#399	C₂³	1	2	yes	complemented
407	#398	C₂³	1	2	yes	complemented
408	#398	C₂³	1	4	yes	complemented
409	#398	C₂³	1	1	yes	characteristic, complemented
410	#398	C₂³	1	2	yes	complemented
411	#398	C₂³	1	2	yes	complemented
412	#398	C₂³	1	2	yes	complemented
413	#397	C₂³	1	2	yes	—
414	#397	C₂³	1	2	yes	—
415	#397	C₂³	1	2	yes	—
416	#397	C₂³	1	1	yes	characteristic
417	#397	C₂³	1	2	yes	—
418	#397	C₂³	1	4	yes	—
419	#397	C₂³	1	2	yes	—
420	#397	C₂³	1	4	yes	—
421	#397	C₂³	1	4	yes	—
422	#397	C₂³	1	4	yes	—
423	#397	C₂³	1	4	yes	complemented
424	#397	C₂³	1	4	yes	complemented
425	#397	C₂³	1	4	yes	complemented
426	#397	C₂³	1	4	yes	complemented
427	#397	C₂³	1	2	yes	complemented
428	#397	C₂³	1	2	yes	complemented
429	#397	C₂³	1	2	yes	complemented
430	#397	C₂³	1	4	yes	complemented
431	#397	C₂³	1	4	yes	complemented
432	#397	C₂³	1	2	yes	complemented
433	#397	C₂³	1	2	yes	complemented
434	#397	C₂³	1	2	yes	complemented
435	#397	C₂³	1	2	yes	complemented
436	#397	C₂³	1	2	yes	complemented
437	#397	C₂³	1	2	yes	complemented
438	#397	C₂³	1	2	yes	complemented
439	#397	C₂³	1	4	yes	complemented
440	#397	C₂³	1	4	yes	complemented
441	#397	C₂³	1	4	yes	complemented
442	#397	C₂³	1	4	yes	complemented
443	#396	C₂³	1	2	yes	—
444	#396	C₂³	1	2	yes	—
445	#396	C₂³	1	2	yes	—
446	#396	C₂³	1	2	yes	—
447	#396	C₂³	1	4	yes	complemented
448	#396	C₂³	1	2	yes	complemented
449	#396	C₂³	1	2	yes	complemented
450	#396	C₂³	1	2	yes	complemented
451	#396	C₂³	1	4	yes	complemented
452	#396	C₂³	1	4	yes	complemented
453	#394	C₂³	1	4	yes	—
454	#394	C₂³	1	4	yes	—
455	#394	C₂³	1	4	yes	—
456	#394	C₂³	1	4	yes	—
457	#394	C₂³	1	2	yes	—
458	#394	C₂³	1	2	yes	—
459	#394	C₂³	1	2	yes	—
460	#394	C₂³	1	2	yes	—
461	#394	C₂³	1	2	yes	—
462	#394	C₂³	1	2	yes	—
463	#394	C₂³	1	2	yes	—
464	#394	C₂³	1	2	yes	—
465	#394	C₂³	1	2	yes	—
466	#394	C₂³	1	2	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	4	yes	—
475	#394	C₂³	1	4	yes	—
476	#394	C₂³	1	4	yes	—
477	#394	C₂³	1	4	yes	—
478	#394	C₂³	1	4	yes	—
479	#394	C₂³	1	4	yes	complemented
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	2	yes	complemented
490	#394	C₂³	1	2	yes	complemented
491	#394	C₂³	1	2	yes	complemented
492	#394	C₂³	1	4	yes	complemented
493	#394	C₂³	1	4	yes	complemented
494	#394	C₂³	1	4	yes	complemented
495	#394	C₂³	1	4	yes	complemented
496	#394	C₂³	1	4	yes	complemented
497	#394	C₂³	1	4	yes	complemented
498	#394	C₂³	1	4	yes	complemented
499	#394	C₂³	1	4	yes	complemented
500	#394	C₂³	1	2	yes	complemented
501	#394	C₂³	1	4	yes	complemented
502	#394	C₂³	1	4	yes	complemented
503	#394	C₂³	1	4	yes	complemented
504	#394	C₂³	1	4	yes	complemented
505	#394	C₂³	1	4	yes	complemented
506	#393	C₂³	1	4	yes	complemented
507	#393	C₂³	1	4	yes	complemented
508	#393	C₂³	1	4	yes	complemented
509	#393	C₂³	1	4	yes	complemented
510	#393	C₂³	1	4	yes	complemented
511	#393	C₂³	1	4	yes	complemented
512	#393	C₂³	1	4	yes	complemented
513	#393	C₂³	1	4	yes	complemented
514	#393	C₂³	1	4	yes	complemented
515	#392	C₂³	1	4	yes	—
516	#392	C₂³	1	4	yes	—
517	#392	C₂³	1	2	yes	—
518	#392	C₂³	1	4	yes	—
519	#392	C₂³	1	2	yes	—
520	#392	C₂³	1	2	yes	—
521	#392	C₂³	1	4	yes	—
522	#392	C₂³	1	1	yes	characteristic
523	#392	C₂³	1	2	yes	—
524	#392	C₂³	1	4	yes	—
525	#392	C₂³	1	4	yes	—
526	#392	C₂³	1	4	yes	—
527	#392	C₂³	1	4	yes	—
528	#392	C₂³	1	2	yes	—
529	#392	C₂³	1	4	yes	—
530	#392	C₂³	1	4	yes	—
531	#392	C₂³	1	4	yes	—
532	#392	C₂³	1	4	yes	—
533	#392	C₂³	1	2	yes	—
534	#392	C₂³	1	4	yes	—
535	#392	C₂³	1	4	yes	—
536	#392	C₂³	1	1	yes	characteristic, complemented
537	#392	C₂³	1	4	yes	complemented
538	#392	C₂³	1	4	yes	complemented
539	#392	C₂³	1	4	yes	complemented
540	#392	C₂³	1	2	yes	complemented
541	#392	C₂³	1	2	yes	complemented
542	#392	C₂³	1	4	yes	complemented
543	#392	C₂³	1	4	yes	complemented
544	#392	C₂³	1	4	yes	complemented
545	#392	C₂³	1	4	yes	complemented
546	#392	C₂³	1	2	yes	complemented
547	#391	C₂³	1	2	yes	complemented
548	#391	C₂³	1	2	yes	complemented
549	#391	C₂³	1	4	yes	complemented
550	#390	C₂³	1	2	yes	—
551	#390	C₂³	1	2	yes	—
552	#390	C₂³	1	2	yes	—
553	#390	C₂³	1	2	yes	—
554	#390	C₂³	1	2	yes	—
555	#390	C₂³	1	2	yes	—
556	#390	C₂³	1	2	yes	—
557	#390	C₂³	1	2	yes	—
558	#390	C₂³	1	2	yes	—
559	#390	C₂³	1	4	yes	—
560	#390	C₂³	1	4	yes	—
561	#390	C₂³	1	4	yes	—
562	#390	C₂³	1	2	yes	complemented
563	#390	C₂³	1	4	yes	complemented
564	#390	C₂³	1	2	yes	complemented
565	#390	C₂³	1	4	yes	complemented
566	#390	C₂³	1	4	yes	complemented
567	#390	C₂³	1	4	yes	complemented
568	#390	C₂³	1	2	yes	complemented
569	#390	C₂³	1	4	yes	complemented
570	#390	C₂³	1	4	yes	complemented
571	#390	C₂³	1	2	yes	complemented
572	#390	C₂³	1	4	yes	complemented
573	#390	C₂³	1	4	yes	complemented
574	#390	C₂³	1	4	yes	complemented
575	#390	C₂³	1	4	yes	complemented
576	#390	C₂³	1	4	yes	complemented
577	#390	C₂³	1	4	yes	complemented
578	#389	C₂³	1	2	yes	complemented
579	#389	C₂³	1	2	yes	complemented
580	#389	C₂³	1	2	yes	complemented
581	#389	C₂³	1	2	yes	complemented
582	#389	C₂³	1	4	yes	complemented
583	#388	C₂³	1	4	yes	—
584	#388	C₂³	1	4	yes	—
585	#388	C₂³	1	4	yes	—
586	#388	C₂³	1	4	yes	—
587	#388	C₂³	1	4	yes	—
588	#388	C₂³	1	4	yes	—
589	#388	C₂³	1	4	yes	complemented
590	#388	C₂³	1	4	yes	complemented
591	#388	C₂³	1	4	yes	complemented
592	#388	C₂³	1	4	yes	complemented
593	#388	C₂³	1	4	yes	complemented
594	#388	C₂³	1	4	yes	complemented
595	#388	C₂³	1	4	yes	complemented
596	#388	C₂³	1	4	yes	complemented
597	#388	C₂³	1	4	yes	complemented
598	#388	C₂³	1	4	yes	complemented
599	#388	C₂³	1	4	yes	complemented
600	#388	C₂³	1	4	yes	complemented
601	#388	C₂³	1	4	yes	complemented
602	#388	C₂³	1	4	yes	complemented
603	#388	C₂³	1	4	yes	complemented
604	#388	C₂³	1	4	yes	complemented
605	#388	C₂³	1	4	yes	complemented
606	#388	C₂³	1	4	yes	complemented
607	#387	C₂³	1	4	yes	complemented
608	#387	C₂³	1	4	yes	complemented
609	#387	C₂³	1	4	yes	complemented
610	#386	C₂³	1	4	yes	—
611	#386	C₂³	1	4	yes	—
612	#386	C₂³	1	2	yes	—
613	#386	C₂³	1	2	yes	—
614	#386	C₂³	1	2	yes	—
615	#386	C₂³	1	4	yes	—
616	#386	C₂³	1	2	yes	—
617	#386	C₂³	1	1	yes	characteristic
618	#386	C₂³	1	4	yes	—
619	#386	C₂³	1	4	yes	—
620	#386	C₂³	1	4	yes	—
621	#386	C₂³	1	4	yes	—
622	#386	C₂³	1	4	yes	—
623	#386	C₂³	1	4	yes	—
624	#386	C₂³	1	4	yes	—
625	#386	C₂³	1	4	yes	—
626	#386	C₂³	1	4	yes	—
627	#386	C₂³	1	4	yes	—
628	#386	C₂³	1	4	yes	—
629	#386	C₂³	1	4	yes	—
630	#386	C₂³	1	4	yes	complemented
631	#386	C₂³	1	4	yes	complemented
632	#386	C₂³	1	4	yes	complemented
633	#386	C₂³	1	4	yes	complemented
634	#386	C₂³	1	4	yes	complemented
635	#386	C₂³	1	4	yes	complemented
636	#386	C₂³	1	4	yes	complemented
637	#386	C₂³	1	4	yes	complemented
638	#386	C₂³	1	4	yes	complemented
639	#386	C₂³	1	4	yes	complemented
640	#386	C₂³	1	4	yes	complemented
641	#386	C₂³	1	4	yes	complemented
642	#386	C₂³	1	4	yes	complemented
643	#386	C₂³	1	4	yes	complemented
644	#386	C₂³	1	4	yes	complemented
645	#386	C₂³	1	4	yes	complemented
646	#386	C₂³	1	4	yes	complemented
647	#386	C₂³	1	4	yes	complemented
648	#386	C₂³	1	4	yes	complemented
649	#386	C₂³	1	4	yes	complemented
650	#385	C₂³	1	1	yes	characteristic
651	#385	C₂³	1	2	yes	—
652	#385	C₂³	1	2	yes	—
653	#385	C₂³	1	2	yes	—
654	#385	C₂³	1	2	yes	—
655	#385	C₂³	1	2	yes	—
656	#385	C₂³	1	4	yes	—
657	#385	C₂³	1	4	yes	complemented
658	#385	C₂³	1	4	yes	complemented
659	#385	C₂³	1	4	yes	complemented
660	#385	C₂³	1	4	yes	complemented
661	#385	C₂³	1	4	yes	complemented
662	#385	C₂³	1	4	yes	complemented
663	#383	C₂³	1	4	yes	complemented
664	#382	C₂³	1	2	yes	complemented
665	#382	C₂³	1	2	yes	complemented
666	#381	C₂³	1	4	yes	complemented
667	#381	C₂³	1	4	yes	complemented
668	#381	C₂³	1	2	yes	complemented
669	#381	C₂³	1	4	yes	complemented
670	#380	C₂³	1	2	yes	—
671	#380	C₂³	1	2	yes	—
672	#380	C₂³	1	2	yes	—
673	#380	C₂³	1	1	yes	characteristic
674	#380	C₂³	1	2	yes	—
675	#380	C₂³	1	4	yes	complemented
676	#380	C₂³	1	4	yes	complemented
677	#380	C₂³	1	2	yes	complemented
678	#380	C₂³	1	2	yes	complemented
679	#380	C₂³	1	2	yes	complemented
680	#380	C₂³	1	2	yes	complemented
681	#380	C₂³	1	1	yes	characteristic, complemented
682	#380	C₂³	1	4	yes	complemented
683	#379	C₂³	1	2	yes	—
684	#379	C₂³	1	1	yes	characteristic
685	#379	C₂³	1	2	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	2	yes	—
693	#379	C₂³	1	4	yes	—
694	#379	C₂³	1	4	yes	—
695	#379	C₂³	1	4	yes	—
696	#379	C₂³	1	4	yes	—
697	#379	C₂³	1	4	yes	—
698	#379	C₂³	1	2	yes	—
699	#379	C₂³	1	2	yes	—
700	#379	C₂³	1	4	yes	complemented
701	#379	C₂³	1	4	yes	complemented
702	#379	C₂³	1	4	yes	complemented
703	#379	C₂³	1	4	yes	complemented
704	#379	C₂³	1	2	yes	complemented
705	#379	C₂³	1	4	yes	complemented
706	#379	C₂³	1	4	yes	complemented
707	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
708	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
709	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
710	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
711	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
712	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
713	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
714	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
715	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
716	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
717	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
718	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
719	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
720	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
721	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
722	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
723	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
724	#376	C₂³	1	1	yes	characteristic, complemented
725	C₂⁵	—	2	8	no	—
726	C₂⁵	—	4	8	no	—
727	C₂⁵	—	4	4	no	—
728	C₂⁵	—	8	4	no	—
729	C₂⁵	—	8	2	no	—
730	C₂⁵	C₂⁴	1	4	yes	—
731	C₂⁵	C₂⁴	1	2	yes	—
732	C₂⁵	C₂⁴	1	2	yes	—
733	C₂⁵	C₂⁴	1	4	yes	—
734	C₂⁵	C₂⁴	1	4	yes	—
735	C₂⁵	C₂⁴	1	2	yes	—
736	C₂⁵	C₂⁴	1	1	yes	characteristic
737	C₂×#41	—	2	4	no	—
738	C₂×#41	—	4	4	no	—
739	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
740	C₂²×Q₈	C₂⁴	1	4	yes	—
741	C₂²×Q₈	C₂⁴	1	2	yes	—
742	C₂²×D₄	—	2	8	no	—
743	C₂²×D₄	—	2	8	no	—
744	C₂²×D₄	—	2	8	no	—
745	C₂²×D₄	—	2	8	no	—
746	C₂²×D₄	—	2	4	no	—
747	C₂²×D₄	—	2	8	no	—
748	C₂²×D₄	—	4	4	no	—
749	C₂²×D₄	—	4	4	no	—
750	C₂²×D₄	—	4	4	no	—
751	C₂²×D₄	—	4	2	no	—
752	C₂²×D₄	—	4	4	no	—
753	C₂²×D₄	—	4	2	no	—
754	C₂²×D₄	—	4	4	no	—
755	C₂²×D₄	—	4	4	no	—
756	C₂²×D₄	—	4	4	no	—
757	C₂²×D₄	—	4	8	no	—
758	C₂²×D₄	—	4	8	no	—
759	C₂²×D₄	—	4	4	no	—
760	C₂²×D₄	—	4	8	no	—
761	C₂²×D₄	—	4	8	no	—
762	C₂²×D₄	—	4	8	no	—
763	C₂²×D₄	—	4	8	no	—
764	C₂²×D₄	—	4	8	no	—
765	C₂²×D₄	—	4	8	no	—
766	C₂²×D₄	—	4	8	no	—
767	C₂²×D₄	—	4	8	no	—
768	C₂²×D₄	—	4	8	no	—
769	C₂²×D₄	—	4	64	no	—
770	C₂²×D₄	—	8	4	no	—
771	C₂²×D₄	—	8	4	no	—
772	C₂²×D₄	—	8	4	no	—
773	C₂²×D₄	—	8	4	no	—
774	C₂²×D₄	—	8	4	no	—
775	C₂²×D₄	C₂⁴	1	2	yes	—
776	C₂²×D₄	C₂⁴	1	1	yes	characteristic
777	C₂²×D₄	C₂⁴	1	2	yes	—
778	C₂²×D₄	C₂⁴	1	4	yes	—
779	C₂²×D₄	C₂⁴	1	2	yes	—
780	C₂²×D₄	C₂⁴	1	1	yes	characteristic
781	C₂²×D₄	C₂⁴	1	2	yes	—
782	C₂²×D₄	C₂⁴	1	1	yes	characteristic
783	C₂²×D₄	C₂⁴	1	2	yes	—
784	C₂²×D₄	C₂⁴	1	2	yes	—
785	C₂²×D₄	C₂⁴	1	2	yes	—
786	C₂²×D₄	C₂⁴	1	4	yes	—
787	C₂²×D₄	C₂⁴	1	4	yes	—
788	C₂²×D₄	C₂⁴	1	4	yes	—
789	C₂²×D₄	C₂⁴	1	4	yes	—
790	C₂²×D₄	C₂⁴	1	4	yes	—
791	C₂²×D₄	C₂⁴	1	2	yes	—
792	C₂²×D₄	C₂⁴	1	4	yes	—
793	C₂²×D₄	C₂⁴	1	4	yes	—
794	C₂²×D₄	C₂⁴	1	4	yes	—
795	C₂²×D₄	C₂⁴	1	4	yes	—
796	C₂²×D₄	C₂⁴	1	4	yes	—
797	C₂²×D₄	C₂⁴	1	4	yes	—
798	C₂²×D₄	C₂⁴	1	4	yes	—
799	C₂²×D₄	C₂⁴	1	2	yes	—
800	C₂²×D₄	C₂⁴	1	1	yes	characteristic
801	C₂²×D₄	C₂⁴	1	2	yes	—
802	C₂²×D₄	C₂⁴	1	4	yes	—
803	C₂²×D₄	C₂⁴	1	2	yes	—
804	C₂²×D₄	C₂⁴	1	4	yes	—
805	C₂²×D₄	C₂⁴	1	4	yes	—
806	C₂²×D₄	C₂⁴	1	2	yes	—
807	C₂²×D₄	C₂⁴	1	4	yes	—
808	C₂³×C₄	—	4	2	no	—
809	C₂³×C₄	—	4	4	no	—
810	C₂³×C₄	C₂⁴	1	2	yes	—
811	C₂³×C₄	C₂⁴	1	1	yes	characteristic
812	C₂³×C₄	C₂⁴	1	2	yes	—
813	C₂³×C₄	C₂⁴	1	1	yes	characteristic
814	C₂³×C₄	C₂⁴	1	2	yes	—
815	C₂³×C₄	C₂⁴	1	2	yes	—
816	C₂³×C₄	C₂⁴	1	4	yes	—
817	C₂³×C₄	C₂⁴	1	4	yes	—
818	C₂³×C₄	C₂⁴	1	4	yes	—
819	C₂³×C₄	C₂⁴	1	4	yes	—
820	C₂³×C₄	C₂⁴	1	4	yes	—
821	C₂³×C₄	C₂⁴	1	1	yes	characteristic
822	C₂³×C₄	C₂⁴	1	2	yes	—
823	C₄⋊Q₈	—	4	4	no	—
824	C₄⋊Q₈	—	4	2	no	—
825	#127	—	2	8	no	—
826	#127	—	2	8	no	—
827	#127	—	4	4	no	—
828	#126	—	4	8	no	—
829	#124	—	2	8	no	—
830	#124	—	4	2	no	—
831	#124	—	4	4	no	—
832	#124	—	4	4	no	—
833	#124	—	4	8	no	—
834	#124	—	4	8	no	—
835	#124	—	4	8	no	—
836	#124	—	4	8	no	—
837	#124	—	4	8	no	—
838	#124	—	4	8	no	—
839	#124	—	8	4	no	—
840	#123	—	4	8	no	—
841	#123	—	4	4	no	—
842	#123	—	4	8	no	—
843	#123	—	8	4	no	—
844	#123	—	8	4	no	—
845	#123	—	8	4	no	—
846	C₂²⋊Q₈	—	4	8	no	—
847	C₂²⋊Q₈	—	4	2	no	—
848	C₂²⋊Q₈	—	4	4	no	—
849	C₂²⋊Q₈	—	4	4	no	—
850	C₂²⋊Q₈	—	8	4	no	—
851	C₂²⋊Q₈	—	8	4	no	—
852	#121	—	2	8	no	—
853	#121	—	2	8	no	—
854	#121	—	2	8	no	—
855	#121	—	4	8	no	—
856	#121	—	4	8	no	—
857	#121	—	4	8	no	—
858	#121	—	4	8	no	—
859	#121	—	4	4	no	—
860	#121	—	4	4	no	—
861	#121	—	4	4	no	—
862	#121	—	4	4	no	—
863	#121	—	4	2	no	—
864	#121	—	4	4	no	—
865	#121	—	4	8	no	—
866	#121	—	4	4	no	—
867	#121	—	4	4	no	—
868	#121	—	4	4	no	—
869	#121	—	4	4	no	—
870	#121	—	8	4	no	—
871	#120	—	2	8	no	—
872	#120	—	2	16	no	—
873	#120	—	2	4	no	—
874	#120	—	4	8	no	—
875	#120	—	4	8	no	—
876	#120	—	4	8	no	—
877	#120	—	4	8	no	—
878	#120	—	4	8	no	—
879	#120	—	4	8	no	—
880	#120	—	4	8	no	—
881	#120	—	4	8	no	—
882	#120	—	4	8	no	—
883	#120	—	4	8	no	—
884	#120	—	4	4	no	—
885	#120	—	4	8	no	—
886	#120	—	4	8	no	—
887	#120	—	4	8	no	—
888	#120	—	4	8	no	—
889	#120	—	4	4	no	—
890	#120	—	4	8	no	—
891	#120	—	4	8	no	—
892	#120	—	4	8	no	—
893	#120	—	8	2	no	—
894	#120	—	8	4	no	—
895	#120	—	8	4	no	—
896	#120	—	8	4	no	—
897	#120	—	8	4	no	—
898	#120	—	8	4	no	—
899	#120	—	8	4	no	—
900	C₄×Q₈	—	4	4	no	—
901	C₄×D₄	—	2	8	no	—
902	C₄×D₄	—	2	4	no	—
903	C₄×D₄	—	4	4	no	—
904	C₄×D₄	—	4	4	no	—
905	C₄×D₄	—	4	4	no	—
906	C₄×D₄	—	4	4	no	—
907	C₄×D₄	—	4	4	no	—
908	C₄×D₄	—	4	4	no	—
909	C₄×D₄	—	4	4	no	—
910	C₄×D₄	—	4	4	no	—
911	C₄×D₄	—	4	2	no	—
912	C₄×D₄	—	4	4	no	—
913	C₄×D₄	—	4	2	no	—
914	C₄×D₄	—	8	4	no	—
915	#117	—	4	2	no	—
916	#117	—	4	4	no	—
917	#117	—	4	4	no	—
918	#117	—	4	4	no	—
919	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
923	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
927	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
933	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
937	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
941	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
944	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
945	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
947	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
948	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
949	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
950	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₂×C₂²⋊C₄	—	4	8	no	—
952	C₂×C₂²⋊C₄	—	4	8	no	—
953	C₂×C₂²⋊C₄	—	4	8	no	—
954	C₂×C₂²⋊C₄	—	4	8	no	—
955	C₂×C₂²⋊C₄	—	4	4	no	—
956	C₂×C₂²⋊C₄	—	8	4	no	—
957	C₂×C₂²⋊C₄	—	8	2	no	—
958	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
962	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
963	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
964	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
965	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
967	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
968	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
969	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
970	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
971	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
972	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
982	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
983	C₂×C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
989	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
991	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1039	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1040	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1043	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1046	C₂×C₄²	C₂⁴	1	2	yes	—
1047	C₂×C₄²	C₂⁴	1	2	yes	—
1048	C₂×C₄²	C₂⁴	1	2	yes	—
1049	C₂×C₄²	C₂⁴	1	2	yes	—
1050	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1051	C₂×C₄²	C₂⁴	1	4	yes	—
1052	C₂×C₄²	C₂⁴	1	4	yes	—
1053	C₂×C₄²	C₂⁴	1	4	yes	—
1054	C₂×C₄²	C₂⁴	1	2	yes	—
1055	C₂×C₄²	C₂⁴	1	4	yes	—
1056	#95	C₂⁴	1	1	yes	characteristic
1057	#95	C₂⁴	1	1	yes	characteristic
1058	#95	C₂⁴	1	2	yes	—
1059	#95	C₂⁴	1	2	yes	—
1060	#95	C₂⁴	1	2	yes	—
1061	#95	C₂⁴	1	2	yes	—
1062	#95	C₂⁴	1	2	yes	—
1063	#95	C₂⁴	1	2	yes	—
1064	#95	C₂⁴	1	2	yes	—
1065	#95	C₂⁴	1	2	yes	—
1066	#95	C₂⁴	1	2	yes	—
1067	#95	C₂⁴	1	2	yes	—
1068	#95	C₂⁴	1	1	yes	characteristic
1069	#95	C₂⁴	1	2	yes	—
1070	#95	C₂⁴	1	2	yes	—
1071	#95	C₂⁴	1	2	yes	—
1072	#95	C₂⁴	1	1	yes	characteristic
1073	#95	C₂⁴	1	2	yes	—
1074	#95	C₂⁴	1	4	yes	—
1075	#95	C₂⁴	1	4	yes	—
1076	#95	C₂⁴	1	4	yes	—
1077	#95	C₂⁴	1	2	yes	—
1078	#95	C₂⁴	1	2	yes	—
1079	#95	C₂⁴	1	2	yes	—
1080	#95	C₂⁴	1	4	yes	—
1081	#95	C₂⁴	1	2	yes	—
1082	#95	C₂⁴	1	4	yes	—
1083	#95	C₂⁴	1	2	yes	—
1084	#95	C₂⁴	1	2	yes	—
1085	#95	C₂⁴	1	4	yes	—
1086	#95	C₂⁴	1	2	yes	—
1087	#95	C₂⁴	1	4	yes	—
1088	#95	C₂⁴	1	4	yes	—
1089	#95	C₂⁴	1	4	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	#95	C₂⁴	1	4	yes	—
1099	C₂⁴	—	2	4	no	—
1100	C₂⁴	—	2	8	no	—
1101	C₂⁴	—	2	8	no	—
1102	C₂⁴	—	2	4	no	—
1103	C₂⁴	—	2	8	no	—
1104	C₂⁴	—	2	8	no	—
1105	C₂⁴	—	2	8	no	—
1106	C₂⁴	—	2	8	no	—
1107	C₂⁴	—	2	4	no	—
1108	C₂⁴	—	2	8	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	2	no	—
1111	C₂⁴	—	4	2	no	—
1112	C₂⁴	—	4	1	no	—
1113	C₂⁴	—	4	4	no	—
1114	C₂⁴	—	4	2	no	—
1115	C₂⁴	—	4	2	no	—
1116	C₂⁴	—	4	4	no	—
1117	C₂⁴	—	4	4	no	—
1118	C₂⁴	—	4	4	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	4	no	—
1125	C₂⁴	—	4	4	no	—
1126	C₂⁴	—	4	4	no	—
1127	C₂⁴	—	4	4	no	—
1128	C₂⁴	—	4	4	no	—
1129	C₂⁴	—	4	4	no	—
1130	C₂⁴	—	4	4	no	—
1131	C₂⁴	—	4	4	no	—
1132	C₂⁴	—	4	4	no	—
1133	C₂⁴	—	4	4	no	—
1134	C₂⁴	—	4	2	no	—
1135	C₂⁴	—	4	2	no	—
1136	C₂⁴	—	4	4	no	—
1137	C₂⁴	—	4	4	no	—
1138	C₂⁴	—	4	2	no	—
1139	C₂⁴	—	4	32	no	—
1140	C₂⁴	—	8	32	no	—
1141	C₂⁴	—	8	16	no	—
1142	C₂⁴	—	8	16	no	—
1143	C₂⁴	—	8	32	no	—
1144	C₂⁴	H(5,𝔽₂)	1	4	yes	—
1145	C₂⁴	C₂⁵	1	2	yes	—
1146	C₂⁴	C₂⁵	1	1	yes	characteristic
1147	C₂⁴	C₂⁵	1	2	yes	—
1148	C₂⁴	C₂⁵	1	4	yes	—
1149	C₂⁴	C₂⁵	1	1	yes	characteristic
1150	C₂⁴	C₂⁵	1	2	yes	—
1151	C₂⁴	C₂⁵	1	4	yes	—
1152	C₂⁴	C₂⁵	1	2	yes	—
1153	#41	—	8	8	no	—
1154	C₂×Q₈	—	2	4	no	—
1155	C₂×Q₈	—	2	2	no	—
1156	C₂×Q₈	—	4	4	no	—
1157	C₂×Q₈	—	4	2	no	—
1158	C₂×Q₈	—	4	4	no	—
1159	C₂×Q₈	—	4	4	no	—
1160	C₂×Q₈	—	4	2	no	—
1161	C₂×Q₈	—	4	2	no	—
1162	C₂×D₄	—	2	4	no	—
1163	C₂×D₄	—	2	4	no	—
1164	C₂×D₄	—	2	4	no	—
1165	C₂×D₄	—	2	8	no	—
1166	C₂×D₄	—	2	8	no	—
1167	C₂×D₄	—	2	8	no	—
1168	C₂×D₄	—	2	8	no	—
1169	C₂×D₄	—	2	4	no	—
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	4	no	—
1172	C₂×D₄	—	2	8	no	—
1173	C₂×D₄	—	2	8	no	—
1174	C₂×D₄	—	2	8	no	—
1175	C₂×D₄	—	2	8	no	—
1176	C₂×D₄	—	2	4	no	—
1177	C₂×D₄	—	2	8	no	—
1178	C₂×D₄	—	2	8	no	—
1179	C₂×D₄	—	2	8	no	—
1180	C₂×D₄	—	2	8	no	—
1181	C₂×D₄	—	2	8	no	—
1182	C₂×D₄	—	2	8	no	—
1183	C₂×D₄	—	2	8	no	—
1184	C₂×D₄	—	2	4	no	—
1185	C₂×D₄	—	2	4	no	—
1186	C₂×D₄	—	2	4	no	—
1187	C₂×D₄	—	2	4	no	—
1188	C₂×D₄	—	2	4	no	—
1189	C₂×D₄	—	2	4	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	2	4	no	—
1192	C₂×D₄	—	4	2	no	—
1193	C₂×D₄	—	4	2	no	—
1194	C₂×D₄	—	4	2	no	—
1195	C₂×D₄	—	4	2	no	—
1196	C₂×D₄	—	4	4	no	—
1197	C₂×D₄	—	4	4	no	—
1198	C₂×D₄	—	4	4	no	—
1199	C₂×D₄	—	4	2	no	—
1200	C₂×D₄	—	4	4	no	—
1201	C₂×D₄	—	4	2	no	—
1202	C₂×D₄	—	4	2	no	—
1203	C₂×D₄	—	4	2	no	—
1204	C₂×D₄	—	4	2	no	—
1205	C₂×D₄	—	4	2	no	—
1206	C₂×D₄	—	4	1	no	—
1207	C₂×D₄	—	4	2	no	—
1208	C₂×D₄	—	4	1	no	—
1209	C₂×D₄	—	4	4	no	—
1210	C₂×D₄	—	4	4	no	—
1211	C₂×D₄	—	4	4	no	—
1212	C₂×D₄	—	4	4	no	—
1213	C₂×D₄	—	4	4	no	—
1214	C₂×D₄	—	4	4	no	—
1215	C₂×D₄	—	4	4	no	—
1216	C₂×D₄	—	4	4	no	—
1217	C₂×D₄	—	4	4	no	—
1218	C₂×D₄	—	4	4	no	—
1219	C₂×D₄	—	4	4	no	—
1220	C₂×D₄	—	4	4	no	—
1221	C₂×D₄	—	4	4	no	—
1222	C₂×D₄	—	4	4	no	—
1223	C₂×D₄	—	4	4	no	—
1224	C₂×D₄	—	4	4	no	—
1225	C₂×D₄	—	4	2	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	4	1	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	4	no	—
1230	C₂×D₄	—	4	4	no	—
1231	C₂×D₄	—	4	4	no	—
1232	C₂×D₄	—	4	4	no	—
1233	C₂×D₄	—	4	4	no	—
1234	C₂×D₄	—	4	4	no	—
1235	C₂×D₄	—	4	4	no	—
1236	C₂×D₄	—	4	4	no	—
1237	C₂×D₄	—	4	4	no	—
1238	C₂×D₄	—	4	4	no	—
1239	C₂×D₄	—	4	2	no	—
1240	C₂×D₄	—	4	4	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	4	no	—
1245	C₂×D₄	—	4	4	no	—
1246	C₂×D₄	—	4	4	no	—
1247	C₂×D₄	—	4	2	no	—
1248	C₂×D₄	—	4	4	no	—
1249	C₂×D₄	—	4	4	no	—
1250	C₂×D₄	—	4	4	no	—
1251	C₂×D₄	—	4	16	no	—
1252	C₂×D₄	—	4	32	no	—
1253	C₂×D₄	—	4	32	no	—
1254	C₂×D₄	—	4	16	no	—
1255	C₂×D₄	—	4	32	no	—
1256	C₂×D₄	—	4	64	no	—
1257	C₂×D₄	—	8	16	no	—
1258	C₂×D₄	—	8	8	no	—
1259	C₂×D₄	—	8	32	no	—
1260	C₂×D₄	—	8	32	no	—
1261	C₂×D₄	—	8	32	no	—
1262	C₂×D₄	—	8	32	no	—
1263	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1264	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1265	C₂²×C₄	—	2	4	no	—
1266	C₂²×C₄	—	2	4	no	—
1267	C₂²×C₄	—	2	8	no	—
1268	C₂²×C₄	—	2	4	no	—
1269	C₂²×C₄	—	2	4	no	—
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	4	no	—
1272	C₂²×C₄	—	2	4	no	—
1273	C₂²×C₄	—	2	4	no	—
1274	C₂²×C₄	—	2	4	no	—
1275	C₂²×C₄	—	2	4	no	—
1276	C₂²×C₄	—	2	2	no	—
1277	C₂²×C₄	—	2	4	no	—
1278	C₂²×C₄	—	4	1	no	—
1279	C₂²×C₄	—	4	2	no	—
1280	C₂²×C₄	—	4	2	no	—
1281	C₂²×C₄	—	4	2	no	—
1282	C₂²×C₄	—	4	2	no	—
1283	C₂²×C₄	—	4	4	no	—
1284	C₂²×C₄	—	4	4	no	—
1285	C₂²×C₄	—	4	4	no	—
1286	C₂²×C₄	—	4	4	no	—
1287	C₂²×C₄	—	4	4	no	—
1288	C₂²×C₄	—	4	4	no	—
1289	C₂²×C₄	—	4	4	no	—
1290	C₂²×C₄	—	4	4	no	—
1291	C₂²×C₄	—	4	4	no	—
1292	C₂²×C₄	—	4	4	no	—
1293	C₂²×C₄	—	4	4	no	—
1294	C₂²×C₄	—	4	4	no	—
1295	C₂²×C₄	—	4	4	no	—
1296	C₂²×C₄	—	4	4	no	—
1297	C₂²×C₄	—	4	4	no	—
1298	C₂²×C₄	—	4	4	no	—
1299	C₂²×C₄	—	4	16	no	—
1300	C₂²×C₄	C₂⁵	1	2	yes	—
1301	C₂²×C₄	C₂⁵	1	2	yes	—
1302	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1303	C₂²×C₄	C₂⁵	1	4	yes	—
1304	C₂²×C₄	C₂⁵	1	2	yes	—
1305	C₂²×C₄	C₂⁵	1	2	yes	—
1306	C₂²×C₄	C₂⁵	1	2	yes	—
1307	C₂²×C₄	C₂⁵	1	4	yes	—
1308	C₂²×C₄	C₂⁵	1	4	yes	—
1309	C₂²×C₄	C₂⁵	1	4	yes	—
1310	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1311	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1312	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1313	C₂²×C₄	C₂⁵	1	2	yes	—
1314	C₂²×C₄	C₂⁵	1	2	yes	—
1315	C₂²×C₄	C₂⁵	1	2	yes	—
1316	C₂²×C₄	C₂⁵	1	2	yes	—
1317	C₂²×C₄	C₂⁵	1	2	yes	—
1318	C₂²×C₄	C₂⁵	1	2	yes	—
1319	C₂²×C₄	C₂⁵	1	2	yes	—
1320	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1321	C₄⋊C₄	—	2	2	no	—
1322	C₄⋊C₄	—	2	4	no	—
1323	C₄⋊C₄	—	2	4	no	—
1324	C₄⋊C₄	—	2	4	no	—
1325	C₄⋊C₄	—	2	4	no	—
1326	C₄⋊C₄	—	4	1	no	—
1327	C₄⋊C₄	—	4	1	no	—
1328	C₄⋊C₄	—	4	1	no	—
1329	C₄⋊C₄	—	4	2	no	—
1330	C₄⋊C₄	—	4	2	no	—
1331	C₄⋊C₄	—	4	2	no	—
1332	C₄⋊C₄	—	4	2	no	—
1333	C₄⋊C₄	—	4	2	no	—
1334	C₄⋊C₄	—	4	2	no	—
1335	C₄⋊C₄	—	4	2	no	—
1336	C₄⋊C₄	—	4	1	no	—
1337	C₄⋊C₄	—	4	2	no	—
1338	C₄⋊C₄	—	4	2	no	—
1339	C₄⋊C₄	—	4	4	no	—
1340	C₄⋊C₄	—	4	2	no	—
1341	C₄⋊C₄	—	4	4	no	—
1342	C₄⋊C₄	—	4	4	no	—
1343	C₄⋊C₄	—	4	4	no	—
1344	C₄⋊C₄	—	4	2	no	—
1345	C₄⋊C₄	—	4	2	no	—
1346	C₄⋊C₄	—	4	4	no	—
1347	C₄⋊C₄	—	4	4	no	—
1348	C₄⋊C₄	—	4	4	no	—
1349	C₄⋊C₄	—	4	4	no	—
1350	C₄⋊C₄	—	4	2	no	—
1351	C₄⋊C₄	—	4	2	no	—
1352	C₄⋊C₄	—	4	2	no	—
1353	C₂²⋊C₄	—	2	4	no	—
1354	C₂²⋊C₄	—	2	4	no	—
1355	C₂²⋊C₄	—	2	4	no	—
1356	C₂²⋊C₄	—	2	8	no	—
1357	C₂²⋊C₄	—	2	8	no	—
1358	C₂²⋊C₄	—	2	8	no	—
1359	C₂²⋊C₄	—	2	8	no	—
1360	C₂²⋊C₄	—	2	8	no	—
1361	C₂²⋊C₄	—	2	8	no	—
1362	C₂²⋊C₄	—	2	8	no	—
1363	C₂²⋊C₄	—	2	4	no	—
1364	C₂²⋊C₄	—	2	2	no	—
1365	C₂²⋊C₄	—	2	4	no	—
1366	C₂²⋊C₄	—	2	8	no	—
1367	C₂²⋊C₄	—	2	8	no	—
1368	C₂²⋊C₄	—	4	2	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	—	4	4	no	—
1371	C₂²⋊C₄	—	4	4	no	—
1372	C₂²⋊C₄	—	4	4	no	—
1373	C₂²⋊C₄	—	4	4	no	—
1374	C₂²⋊C₄	—	4	4	no	—
1375	C₂²⋊C₄	—	4	4	no	—
1376	C₂²⋊C₄	—	4	2	no	—
1377	C₂²⋊C₄	—	4	4	no	—
1378	C₂²⋊C₄	—	4	2	no	—
1379	C₂²⋊C₄	—	4	2	no	—
1380	C₂²⋊C₄	—	4	1	no	—
1381	C₂²⋊C₄	—	4	2	no	—
1382	C₂²⋊C₄	—	4	4	no	—
1383	C₂²⋊C₄	—	4	4	no	—
1384	C₂²⋊C₄	—	4	2	no	—
1385	C₂²⋊C₄	—	4	4	no	—
1386	C₂²⋊C₄	—	4	4	no	—
1387	C₂²⋊C₄	—	4	2	no	—
1388	C₂²⋊C₄	—	4	4	no	—
1389	C₂²⋊C₄	—	4	2	no	—
1390	C₂²⋊C₄	—	4	2	no	—
1391	C₂²⋊C₄	—	4	2	no	—
1392	C₂²⋊C₄	—	4	2	no	—
1393	C₂²⋊C₄	—	4	2	no	—
1394	C₂²⋊C₄	—	4	4	no	—
1395	C₂²⋊C₄	—	4	2	no	—
1396	C₂²⋊C₄	—	4	4	no	—
1397	C₂²⋊C₄	—	4	2	no	—
1398	C₂²⋊C₄	—	4	2	no	—
1399	C₂²⋊C₄	—	4	4	no	—
1400	C₂²⋊C₄	—	4	2	no	—
1401	C₂²⋊C₄	—	4	2	no	—
1402	C₂²⋊C₄	—	4	4	no	—
1403	C₂²⋊C₄	—	4	2	no	—
1404	C₂²⋊C₄	—	4	1	no	—
1405	C₂²⋊C₄	—	4	2	no	—
1406	C₂²⋊C₄	—	4	4	no	—
1407	C₂²⋊C₄	—	4	4	no	—
1408	C₂²⋊C₄	—	4	4	no	—
1409	C₂²⋊C₄	—	4	4	no	—
1410	C₂²⋊C₄	—	4	4	no	—
1411	C₂²⋊C₄	—	4	4	no	—
1412	C₂²⋊C₄	—	4	4	no	—
1413	C₂²⋊C₄	—	4	4	no	—
1414	C₂²⋊C₄	—	4	4	no	—
1415	C₂²⋊C₄	—	4	2	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	2	no	—
1421	C₂²⋊C₄	—	4	2	no	—
1422	C₂²⋊C₄	—	4	2	no	—
1423	C₂²⋊C₄	—	4	2	no	—
1424	C₂²⋊C₄	—	4	2	no	—
1425	C₂²⋊C₄	—	4	4	no	—
1426	C₂²⋊C₄	—	4	4	no	—
1427	C₂²⋊C₄	—	4	4	no	—
1428	C₂²⋊C₄	—	4	4	no	—
1429	C₂²⋊C₄	—	4	4	no	—
1430	C₂²⋊C₄	—	4	4	no	—
1431	C₂²⋊C₄	—	4	4	no	—
1432	C₂²⋊C₄	—	4	4	no	—
1433	C₂²⋊C₄	—	4	4	no	—
1434	C₂²⋊C₄	—	4	4	no	—
1435	C₂²⋊C₄	—	4	4	no	—
1436	C₂²⋊C₄	—	4	4	no	—
1437	C₂²⋊C₄	—	4	2	no	—
1438	C₂²⋊C₄	—	4	4	no	—
1439	C₂²⋊C₄	—	4	4	no	—
1440	C₂²⋊C₄	—	4	2	no	—
1441	C₄²	—	2	4	no	—
1442	C₄²	—	2	4	no	—
1443	C₄²	—	2	4	no	—
1444	C₄²	—	2	2	no	—
1445	C₄²	—	2	4	no	—
1446	C₄²	—	4	4	no	—
1447	C₄²	—	4	4	no	—
1448	C₄²	—	4	4	no	—
1449	C₄²	—	4	2	no	—
1450	C₄²	—	4	4	no	—
1451	C₂³	—	2	2	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	2	no	—
1454	C₂³	—	2	4	no	—
1455	C₂³	—	2	2	no	—
1456	C₂³	—	2	2	no	—
1457	C₂³	—	2	2	no	—
1458	C₂³	—	2	4	no	—
1459	C₂³	—	2	4	no	—
1460	C₂³	—	2	4	no	—
1461	C₂³	—	2	2	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	2	4	no	—
1464	C₂³	—	2	4	no	—
1465	C₂³	—	2	4	no	—
1466	C₂³	—	2	4	no	—
1467	C₂³	—	2	2	no	—
1468	C₂³	—	2	2	no	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	2	no	—
1473	C₂³	—	2	2	no	—
1474	C₂³	—	2	2	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	4	no	—
1477	C₂³	—	2	4	no	—
1478	C₂³	—	2	2	no	—
1479	C₂³	—	2	2	no	—
1480	C₂³	—	2	2	no	—
1481	C₂³	—	2	4	no	—
1482	C₂³	—	2	4	no	—
1483	C₂³	—	2	4	no	—
1484	C₂³	—	2	2	no	—
1485	C₂³	—	2	2	no	—
1486	C₂³	—	2	2	no	—
1487	C₂³	—	2	4	no	—
1488	C₂³	—	2	4	no	—
1489	C₂³	—	2	4	no	—
1490	C₂³	—	2	4	no	—
1491	C₂³	—	2	2	no	—
1492	C₂³	—	2	2	no	—
1493	C₂³	—	2	2	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	4	8	no	—
1496	C₂³	—	4	4	no	—
1497	C₂³	—	4	16	no	—
1498	C₂³	—	4	8	no	—
1499	C₂³	—	4	16	no	—
1500	C₂³	—	4	16	no	—
1501	C₂³	—	4	16	no	—
1502	C₂³	—	4	16	no	—
1503	C₂³	—	4	8	no	—
1504	C₂³	—	4	8	no	—
1505	C₂³	—	4	16	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	4	no	—
1508	C₂³	—	4	8	no	—
1509	C₂³	—	8	8	no	—
1510	C₂³	—	8	4	no	—
1511	C₂³	—	8	8	no	—
1512	C₂³	—	8	8	no	—
1513	C₂³	—	8	8	no	—
1514	C₂³	—	8	8	no	—
1515	C₂³	—	8	8	no	—
1516	C₂³	—	8	8	no	—
1517	C₂³	—	8	4	no	—
1518	C₂³	—	8	8	no	—
1519	C₂³	—	8	8	no	—
1520	C₂³	—	8	8	no	—
1521	C₂³	—	8	8	no	—
1522	C₂³	—	8	4	no	—
1523	C₂³	—	8	8	no	—
1524	C₂³	—	8	8	no	—
1525	C₂³	—	8	8	no	—
1526	C₂³	—	8	8	no	—
1527	C₂³	—	8	8	no	—
1528	C₂³	—	8	8	no	—
1529	C₂³	—	8	8	no	—
1530	C₂³	—	8	4	no	—
1531	C₂³	—	8	128	no	—
1532	C₂³	—	16	4	no	—
1533	C₂³	—	16	4	no	—
1534	C₂³	—	16	2	no	—
1535	C₂³	—	16	4	no	—
1536	C₂³	—	16	2	no	—
1537	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1538	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1539	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1540	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1541	C₂³	C₂⁶	1	1	yes	characteristic
1542	Q₈	—	4	4	no	—
1543	Q₈	—	16	4	no	—
1544	Q₈	—	16	2	no	—
1545	D₄	—	2	16	no	—
1546	D₄	—	2	8	no	—
1547	D₄	—	4	16	no	—
1548	D₄	—	4	8	no	—
1549	D₄	—	4	8	no	—
1550	D₄	—	4	16	no	—
1551	D₄	—	4	8	no	—
1552	D₄	—	4	8	no	—
1553	D₄	—	4	8	no	—
1554	D₄	—	4	8	no	—
1555	D₄	—	4	4	no	—
1556	D₄	—	4	8	no	—
1557	D₄	—	8	8	no	—
1558	D₄	—	8	2	no	—
1559	D₄	—	8	4	no	—
1560	D₄	—	8	8	no	—
1561	D₄	—	8	8	no	—
1562	D₄	—	8	8	no	—
1563	D₄	—	8	8	no	—
1564	D₄	—	8	8	no	—
1565	D₄	—	8	8	no	—
1566	D₄	—	8	8	no	—
1567	D₄	—	8	8	no	—
1568	D₄	—	8	8	no	—
1569	D₄	—	8	8	no	—
1570	D₄	—	8	4	no	—
1571	D₄	—	8	2	no	—
1572	D₄	—	8	8	no	—
1573	D₄	—	8	8	no	—
1574	D₄	—	8	8	no	—
1575	D₄	—	8	4	no	—
1576	D₄	—	16	2	no	—
1577	D₄	—	16	4	no	—
1578	C₂×C₄	—	2	2	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	1	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	2	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	4	no	—
1593	C₂×C₄	—	2	4	no	—
1594	C₂×C₄	—	2	4	no	—
1595	C₂×C₄	—	2	4	no	—
1596	C₂×C₄	—	2	4	no	—
1597	C₂×C₄	—	2	4	no	—
1598	C₂×C₄	—	2	2	no	—
1599	C₂×C₄	—	2	2	no	—
1600	C₂×C₄	—	2	2	no	—
1601	C₂×C₄	—	2	2	no	—
1602	C₂×C₄	—	2	2	no	—
1603	C₂×C₄	—	2	4	no	—
1604	C₂×C₄	—	2	4	no	—
1605	C₂×C₄	—	2	2	no	—
1606	C₂×C₄	—	2	2	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	2	no	—
1610	C₂×C₄	—	2	2	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	2	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	4	no	—
1615	C₂×C₄	—	2	4	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	4	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	4	no	—
1624	C₂×C₄	—	2	2	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	4	no	—
1627	C₂×C₄	—	2	4	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	2	no	—
1630	C₂×C₄	—	2	2	no	—
1631	C₂×C₄	—	2	2	no	—
1632	C₂×C₄	—	2	2	no	—
1633	C₂×C₄	—	4	4	no	—
1634	C₂×C₄	—	4	8	no	—
1635	C₂×C₄	—	4	4	no	—
1636	C₂×C₄	—	4	8	no	—
1637	C₂×C₄	—	4	8	no	—
1638	C₂×C₄	—	4	4	no	—
1639	C₂×C₄	—	8	4	no	—
1640	C₂×C₄	—	8	8	no	—
1641	C₂×C₄	—	8	4	no	—
1642	C₂×C₄	—	8	8	no	—
1643	C₂×C₄	—	8	8	no	—
1644	C₂×C₄	—	8	8	no	—
1645	C₂×C₄	—	16	4	no	—
1646	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1647	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1648	C₂²	—	2	4	no	—
1649	C₂²	—	2	8	no	—
1650	C₂²	—	2	8	no	—
1651	C₂²	—	2	4	no	—
1652	C₂²	—	2	4	no	—
1653	C₂²	—	2	4	no	—
1654	C₂²	—	2	4	no	—
1655	C₂²	—	2	4	no	—
1656	C₂²	—	2	2	no	—
1657	C₂²	—	2	4	no	—
1658	C₂²	—	2	8	no	—
1659	C₂²	—	4	16	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	2	no	—
1662	C₂²	—	4	4	no	—
1663	C₂²	—	4	4	no	—
1664	C₂²	—	4	2	no	—
1665	C₂²	—	4	2	no	—
1666	C₂²	—	4	2	no	—
1667	C₂²	—	4	4	no	—
1668	C₂²	—	4	4	no	—
1669	C₂²	—	4	4	no	—
1670	C₂²	—	4	4	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	2	no	—
1673	C₂²	—	4	4	no	—
1674	C₂²	—	4	2	no	—
1675	C₂²	—	4	1	no	—
1676	C₂²	—	4	2	no	—
1677	C₂²	—	4	4	no	—
1678	C₂²	—	4	2	no	—
1679	C₂²	—	4	2	no	—
1680	C₂²	—	4	4	no	—
1681	C₂²	—	4	4	no	—
1682	C₂²	—	4	2	no	—
1683	C₂²	—	4	2	no	—
1684	C₂²	—	4	2	no	—
1685	C₂²	—	4	2	no	—
1686	C₂²	—	4	4	no	—
1687	C₂²	—	4	4	no	—
1688	C₂²	—	4	4	no	—
1689	C₂²	—	4	4	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	2	no	—
1692	C₂²	—	4	2	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	2	no	—
1695	C₂²	—	4	2	no	—
1696	C₂²	—	4	4	no	—
1697	C₂²	—	8	32	no	—
1698	C₂²	—	8	16	no	—
1699	C₂²	—	8	16	no	—
1700	C₂²	—	8	32	no	—
1701	C₂²	—	16	16	no	—
1702	C₂²	—	16	8	no	—
1703	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1704	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1705	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1706	C₂²	H(7,𝔽₂)	1	2	yes	—
1707	C₂²	H(7,𝔽₂)	1	1	yes	characteristic
1708	C₄	—	4	1	no	—
1709	C₄	—	4	2	no	—
1710	C₄	—	4	2	no	—
1711	C₄	—	4	2	no	—
1712	C₄	—	4	4	no	—
1713	C₄	—	4	2	no	—
1714	C₄	—	4	2	no	—
1715	C₄	—	4	2	no	—
1716	C₄	—	4	2	no	—
1717	C₄	—	4	2	no	—
1718	C₄	—	4	4	no	—
1719	C₄	—	4	4	no	—
1720	C₄	—	4	4	no	—
1721	C₄	—	4	1	no	—
1722	C₄	—	4	2	no	—
1723	C₄	—	4	2	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	2	no	—
1727	C₄	—	4	2	no	—
1728	C₄	#3532	1	4	yes	—
1729	C₂	—	4	2	no	—
1730	C₂	—	4	4	no	—
1731	C₂	—	4	4	no	—
1732	C₂	—	4	8	no	—
1733	C₂	—	8	2	no	—
1734	C₂	—	8	4	no	—
1735	C₂	—	8	2	no	—
1736	C₂	—	8	1	no	—
1737	C₂	C₂×#3532	1	1	yes	characteristic
1738	C₂	#62892	1	2	yes	—
1739	C₂	#62892	1	1	yes	characteristic
1740	C₂	#63041	1	1	yes	characteristic
1741	C₂	#63045	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. #57971	C₂	semidirect
2. #57188	C₂	semidirect
3. #56545	C₂	semidirect
4. #56413	C₂	semidirect
5. #56394	C₂	semidirect
6. #56339	C₂	semidirect
7. #56290	C₂	semidirect
8. #45508	C₂	semidirect
9. #45479	C₂	semidirect
10. #45457	C₂	semidirect
11. #45439	C₂	semidirect
12. #45355	C₂	semidirect
13. #45214	C₂	semidirect
14. #45049	C₂	semidirect
15. #45013	C₂	semidirect
16. #44929	C₂	semidirect
17. #44877	C₂	semidirect
18. #44874	C₂	semidirect
19. #42966	C₂	semidirect
20. #42677	C₂	semidirect
21. #42619	C₂	semidirect
22. #42575	C₂	semidirect
23. #42532	C₂	semidirect
24. #42475	C₂	semidirect
25. #42426	C₂	semidirect
26. #37436	C₂	semidirect
27. #36676	C₂	semidirect
28. #36152	C₂	semidirect
29. D₄×#120	C₂	semidirect
30. C₂⁴×D₄	C₂²	semidirect
31. C₂×H(3,𝔽₄)	C₂²	semidirect
32. C₂×#555	C₂²	semidirect
33. C₂×#546	C₂²	semidirect
34. C₂×#546	C₂²	semidirect
36. C₂×D₄²	C₂²	semidirect
37. C₂×D₄²	C₂²	semidirect
38. C₂×D₄²	C₂²	semidirect
39. C₂×#542	C₂²	semidirect
40. C₂×#535	C₂²	semidirect
41. C₂²×#120	C₂²	semidirect
42. #2848	C₂²	semidirect
43. #2847	C₂²	semidirect
44. #2846	C₂²	semidirect
45. #2846	C₂²	semidirect
46. #2842	C₂²	semidirect
47. #2834	C₂²	semidirect
48. #2827	C₂²	semidirect
49. #2827	C₂²	semidirect
50. #2827	C₂²	semidirect
51. #2826	C₂²	semidirect
52. #2826	C₂²	semidirect
53. #2825	C₂²	semidirect
54. #2825	C₂²	semidirect
55. #2824	C₂²	semidirect
56. #2824	C₂²	semidirect
57. #2816	C₂²	semidirect
58. #2815	C₂²	semidirect
59. #2813	C₂²	semidirect
60. #2812	C₂²	semidirect
61. #2812	C₂²	semidirect
62. #2812	C₂²	semidirect
63. #2812	C₂²	semidirect
64. #2812	C₂²	semidirect
65. #2797	C₂²	semidirect
66. #2797	C₂²	semidirect
67. #2796	C₂²	semidirect
68. #2778	C₂²	semidirect
69. #2778	C₂²	semidirect
70. #2778	C₂²	semidirect
71. #2760	C₂²	semidirect
72. #2757	C₂²	semidirect
73. #2756	C₂²	semidirect
74. #2749	C₂²	semidirect
75. #2749	C₂²	semidirect
76. #2746	C₂²	semidirect
77. #2735	C₂²	semidirect
78. #2735	C₂²	semidirect
79. #2730	C₂²	semidirect
80. #2728	C₂²	semidirect
81. #2712	C₂²	semidirect
82. #2712	C₂²	semidirect
83. #2710	C₂²	semidirect
84. #2703	C₂²	semidirect
85. #2703	C₂²	semidirect
86. #2699	C₂²	semidirect
87. #2697	C₂²	semidirect
88. #2697	C₂²	semidirect
89. #2696	C₂²	semidirect
90. #2696	C₂²	semidirect
91. #2691	C₂²	semidirect
92. #2687	C₂²	semidirect
93. #2685	C₂²	semidirect
94. #2685	C₂²	semidirect
95. #2685	C₂²	semidirect
96. #2684	C₂²	semidirect
97. #2684	C₂²	semidirect
98. #2684	C₂²	semidirect
99. #2684	C₂²	semidirect
100. #2684	C₂²	semidirect
101. #2684	C₂²	semidirect
102. #2684	C₂²	semidirect
103. #2681	C₂²	semidirect
104. #2679	C₂²	semidirect
105. #2679	C₂²	semidirect
106. #2679	C₂²	semidirect
107. #2678	C₂²	semidirect
108. #2678	C₂²	semidirect
109. #2678	C₂²	semidirect
110. #2678	C₂²	semidirect
111. #2678	C₂²	semidirect
112. #2676	C₂²	semidirect
113. #2671	C₂²	semidirect
114. #2670	C₂²	semidirect
115. #2670	C₂²	semidirect
116. #2670	C₂²	semidirect
117. #2670	C₂²	semidirect
118. #2670	C₂²	semidirect
119. #2670	C₂²	semidirect
120. #2670	C₂²	semidirect
121. #2668	C₂²	semidirect
122. #2668	C₂²	semidirect
123. #2668	C₂²	semidirect
124. #2668	C₂²	semidirect
125. #2661	C₂²	semidirect
126. #2661	C₂²	semidirect
127. #2653	C₂²	semidirect
128. #2648	C₂²	semidirect
129. #2640	C₂²	semidirect
130. #2631	C₂²	semidirect
131. #2624	C₂²	semidirect
132. #2624	C₂²	semidirect
133. #2622	C₂²	semidirect
134. #2622	C₂²	semidirect
135. #2619	C₂²	semidirect
136. #2617	C₂²	semidirect
137. #2617	C₂²	semidirect
138. #2617	C₂²	semidirect
139. #2613	C₂²	semidirect
140. #2613	C₂²	semidirect
141. #2613	C₂²	semidirect
142. #2572	C₂²	semidirect
143. #2563	C₂²	semidirect
144. #2559	C₂²	semidirect
145. #2557	C₂²	semidirect
146. #2548	C₂²	semidirect
147. #2547	C₂²	semidirect
148. #2547	C₂²	semidirect
149. #2544	C₂²	semidirect
150. #2540	C₂²	semidirect
151. #2540	C₂²	semidirect
152. #2539	C₂²	semidirect
153. #2536	C₂²	semidirect
154. #2535	C₂²	semidirect
155. #2535	C₂²	semidirect
156. #2534	C₂²	semidirect
157. #2513	C₂²	semidirect
158. #2495	C₂²	semidirect
159. #2494	C₂²	semidirect
160. #2491	C₂²	semidirect
161. #2491	C₂²	semidirect
162. #2491	C₂²	semidirect
163. #2491	C₂²	semidirect
164. #2485	C₂²	semidirect
165. #2483	C₂²	semidirect
166. #2482	C₂²	semidirect
167. #2480	C₂²	semidirect
168. #2476	C₂²	semidirect
169. #2472	C₂²	semidirect
170. #2472	C₂²	semidirect
171. #2472	C₂²	semidirect
172. #2472	C₂²	semidirect
173. #2472	C₂²	semidirect
174. #2472	C₂²	semidirect
175. #2457	C₂²	semidirect
176. #2452	C₂²	semidirect
177. #2452	C₂²	semidirect
178. #2445	C₂²	semidirect
179. #2445	C₂²	semidirect
180. #2445	C₂²	semidirect
181. #2435	C₂²	semidirect
182. #2435	C₂²	semidirect
183. #2435	C₂²	semidirect
184. #2435	C₂²	semidirect
185. #2435	C₂²	semidirect
186. #2435	C₂²	semidirect
189. #2433	C₂²	semidirect
190. #2433	C₂²	semidirect
191. #2428	C₂²	semidirect
192. #2427	C₂²	semidirect
193. #2426	C₂²	semidirect
194. #2424	C₂²	semidirect
195. #2421	C₂²	semidirect
196. #2420	C₂²	semidirect
197. #2420	C₂²	semidirect
198. #2418	C₂²	semidirect
199. #2415	C₂²	semidirect
200. #2414	C₂²	semidirect
201. #2414	C₂²	semidirect
202. #2412	C₂²	semidirect
203. #2412	C₂²	semidirect
204. #2411	C₂²	semidirect
205. #2410	C₂²	semidirect
206. #2410	C₂²	semidirect
207. #2410	C₂²	semidirect
208. #2410	C₂²	semidirect
209. #2410	C₂²	semidirect
210. #2410	C₂²	semidirect
211. #2410	C₂²	semidirect
213. #2408	C₂²	semidirect
214. #2408	C₂²	semidirect
215. #2408	C₂²	semidirect
216. #2408	C₂²	semidirect
217. #2408	C₂²	semidirect
218. #2408	C₂²	semidirect
219. #2408	C₂²	semidirect
220. #2408	C₂²	semidirect
221. #2407	C₂²	semidirect
222. #2405	C₂²	semidirect
223. #2405	C₂²	semidirect
224. #2405	C₂²	semidirect
225. #2403	C₂²	semidirect
226. #2403	C₂²	semidirect
227. #2403	C₂²	semidirect
228. #2403	C₂²	semidirect
229. #2403	C₂²	semidirect
230. #2403	C₂²	semidirect
231. #2403	C₂²	semidirect
232. #2403	C₂²	semidirect
233. #2401	C₂²	semidirect
234. #2397	C₂²	semidirect
235. #2395	C₂²	semidirect
236. #2395	C₂²	semidirect
237. #2392	C₂²	semidirect
238. #2392	C₂²	semidirect
239. #2392	C₂²	semidirect
240. #2375	C₂²	semidirect
241. #2367	C₂²	semidirect
242. #2366	C₂²	semidirect
243. #2363	C₂²	semidirect
244. #2357	C₂²	semidirect
245. #2341	C₂²	semidirect
246. D₄×C₂²⋊C₄	C₂²	semidirect
247. D₄×C₂²⋊C₄	C₂²	semidirect
248. D₄×C₂²⋊C₄	C₂²	semidirect
249. D₄×C₂²⋊C₄	C₂²	semidirect
250. D₄×C₂²⋊C₄	C₂²	semidirect
251. #2328	C₂²	semidirect
252. #2324	C₂²	semidirect
253. #2324	C₂²	semidirect
254. #2319	C₂²	semidirect
255. #2309	C₂²	semidirect
256. C₄×#120	C₂²	semidirect
257. C₄×#120	C₂²	semidirect
258. C₂×#379	C₂²	semidirect
273. C₂³×D₄	C₂³	semidirect
274. C₂³×D₄	C₂³	semidirect
286. C₂×C₄⋊Q₈	C₂³	semidirect
287. C₂×C₄⋊Q₈	C₂³	semidirect
291. C₂×#126	C₂³	semidirect
299. C₂×#124	C₂³	semidirect
300. C₂×#124	C₂³	semidirect
301. C₂×#124	C₂³	semidirect
302. C₂×#124	C₂³	semidirect
305. C₂×#123	C₂³	semidirect
306. C₂×#123	C₂³	semidirect
307. C₂×#123	C₂³	semidirect
308. C₂×#123	C₂³	semidirect
311. C₂×C₂²⋊Q₈	C₂³	semidirect
312. C₂×C₂²⋊Q₈	C₂³	semidirect
313. C₂×C₂²⋊Q₈	C₂³	semidirect
314. C₂×C₂²⋊Q₈	C₂³	semidirect
328. C₂×#121	C₂³	semidirect
329. C₂×#121	C₂³	semidirect
330. C₂×#121	C₂³	semidirect
331. C₂×#121	C₂³	semidirect
332. C₂×#121	C₂³	semidirect
333. C₂×#121	C₂³	semidirect
359. C₂×#120	C₂³	semidirect
360. C₂×#120	C₂³	semidirect
361. C₂×#120	C₂³	semidirect
362. C₂×#120	C₂³	semidirect
363. C₂×#120	C₂³	semidirect
364. C₂×C₄×Q₈	C₂³	semidirect
375. C₂×C₄×D₄	C₂³	semidirect
376. C₂×C₄×D₄	C₂³	semidirect
377. C₂×C₄×D₄	C₂³	semidirect
378. C₂×C₄×D₄	C₂³	semidirect
379. C₂×#117	C₂³	semidirect
380. C₂×#117	C₂³	semidirect
381. C₂×#117	C₂³	semidirect
382. C₂×#117	C₂³	semidirect
390. #401	C₂³	semidirect
391. #401	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
402. #399	C₂³	semidirect
403. #399	C₂³	semidirect
404. #399	C₂³	semidirect
405. #399	C₂³	semidirect
406. #399	C₂³	semidirect
407. #398	C₂³	semidirect
408. #398	C₂³	semidirect
409. #398	C₂³	semidirect
410. #398	C₂³	semidirect
411. #398	C₂³	semidirect
412. #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
441. #397	C₂³	semidirect
442. #397	C₂³	semidirect
447. #396	C₂³	semidirect
448. #396	C₂³	semidirect
449. #396	C₂³	semidirect
450. #396	C₂³	semidirect
451. #396	C₂³	semidirect
452. #396	C₂³	semidirect
479. #394	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
491. #394	C₂³	semidirect
492. #394	C₂³	semidirect
493. #394	C₂³	semidirect
494. #394	C₂³	semidirect
495. #394	C₂³	semidirect
496. #394	C₂³	semidirect
497. #394	C₂³	semidirect
498. #394	C₂³	semidirect
499. #394	C₂³	semidirect
500. #394	C₂³	semidirect
501. #394	C₂³	semidirect
502. #394	C₂³	semidirect
503. #394	C₂³	semidirect
504. #394	C₂³	semidirect
505. #394	C₂³	semidirect
506. #393	C₂³	semidirect
507. #393	C₂³	semidirect
508. #393	C₂³	semidirect
509. #393	C₂³	semidirect
510. #393	C₂³	semidirect
511. #393	C₂³	semidirect
512. #393	C₂³	semidirect
513. #393	C₂³	semidirect
514. #393	C₂³	semidirect
536. #392	C₂³	semidirect
537. #392	C₂³	semidirect
538. #392	C₂³	semidirect
539. #392	C₂³	semidirect
540. #392	C₂³	semidirect
541. #392	C₂³	semidirect
542. #392	C₂³	semidirect
543. #392	C₂³	semidirect
544. #392	C₂³	semidirect
545. #392	C₂³	semidirect
546. #392	C₂³	semidirect
547. #391	C₂³	semidirect
548. #391	C₂³	semidirect
549. #391	C₂³	semidirect
562. #390	C₂³	semidirect
563. #390	C₂³	semidirect
564. #390	C₂³	semidirect
565. #390	C₂³	semidirect
566. #390	C₂³	semidirect
567. #390	C₂³	semidirect
568. #390	C₂³	semidirect
569. #390	C₂³	semidirect
570. #390	C₂³	semidirect
571. #390	C₂³	semidirect
572. #390	C₂³	semidirect
573. #390	C₂³	semidirect
574. #390	C₂³	semidirect
575. #390	C₂³	semidirect
576. #390	C₂³	semidirect
577. #390	C₂³	semidirect
578. #389	C₂³	semidirect
579. #389	C₂³	semidirect
580. #389	C₂³	semidirect
581. #389	C₂³	semidirect
582. #389	C₂³	semidirect
589. #388	C₂³	semidirect
590. #388	C₂³	semidirect
591. #388	C₂³	semidirect
592. #388	C₂³	semidirect
593. #388	C₂³	semidirect
594. #388	C₂³	semidirect
595. #388	C₂³	semidirect
596. #388	C₂³	semidirect
597. #388	C₂³	semidirect
598. #388	C₂³	semidirect
599. #388	C₂³	semidirect
600. #388	C₂³	semidirect
601. #388	C₂³	semidirect
602. #388	C₂³	semidirect
603. #388	C₂³	semidirect
604. #388	C₂³	semidirect
605. #388	C₂³	semidirect
606. #388	C₂³	semidirect
607. #387	C₂³	semidirect
608. #387	C₂³	semidirect
609. #387	C₂³	semidirect
630. #386	C₂³	semidirect
631. #386	C₂³	semidirect
632. #386	C₂³	semidirect
633. #386	C₂³	semidirect
634. #386	C₂³	semidirect
635. #386	C₂³	semidirect
636. #386	C₂³	semidirect
637. #386	C₂³	semidirect
638. #386	C₂³	semidirect
639. #386	C₂³	semidirect
640. #386	C₂³	semidirect
641. #386	C₂³	semidirect
642. #386	C₂³	semidirect
643. #386	C₂³	semidirect
644. #386	C₂³	semidirect
645. #386	C₂³	semidirect
646. #386	C₂³	semidirect
647. #386	C₂³	semidirect
648. #386	C₂³	semidirect
649. #386	C₂³	semidirect
657. #385	C₂³	semidirect
658. #385	C₂³	semidirect
659. #385	C₂³	semidirect
660. #385	C₂³	semidirect
661. #385	C₂³	semidirect
662. #385	C₂³	semidirect
663. #383	C₂³	semidirect
664. #382	C₂³	semidirect
665. #382	C₂³	semidirect
666. #381	C₂³	semidirect
667. #381	C₂³	semidirect
668. #381	C₂³	semidirect
669. #381	C₂³	semidirect
675. #380	C₂³	semidirect
676. #380	C₂³	semidirect
677. #380	C₂³	semidirect
678. #380	C₂³	semidirect
679. #380	C₂³	semidirect
680. #380	C₂³	semidirect
681. #380	C₂³	semidirect
682. #380	C₂³	semidirect
700. #379	C₂³	semidirect
701. #379	C₂³	semidirect
702. #379	C₂³	semidirect
703. #379	C₂³	semidirect
704. #379	C₂³	semidirect
705. #379	C₂³	semidirect
706. #379	C₂³	semidirect
707. C₄×C₄⋊C₄	C₂³	semidirect
708. C₄×C₄⋊C₄	C₂³	semidirect
709. C₄×C₄⋊C₄	C₂³	semidirect
710. C₄×C₄⋊C₄	C₂³	semidirect
711. C₄×C₄⋊C₄	C₂³	semidirect
712. C₄×C₄⋊C₄	C₂³	semidirect
718. C₄×C₂²⋊C₄	C₂³	semidirect
719. C₄×C₂²⋊C₄	C₂³	semidirect
720. C₄×C₂²⋊C₄	C₂³	semidirect
721. C₄×C₂²⋊C₄	C₂³	semidirect
722. C₄×C₂²⋊C₄	C₂³	semidirect
723. C₄×C₂²⋊C₄	C₂³	semidirect
724. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#57971	2
#57188	2
#56545	2
#56413	2
#56394	2
#56339	2
#56290	2
#45508	2
#45479	2
#45457	2
#45439	2
#45355	2
#45214	2
#45049	2
#45013	2
#44929	2
#44877	2
#44874	2
#42966	2
#42677	2
#42619	2
#42575	2
#42532	2
#42475	2
#42426	2
#37436	2
#36676	2
#36152	2
D₄×#120	2