Subgroups — #7772013

Order 512.

6698 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59945	C₂	1	1	yes	maximal, characteristic, complemented
2	#59818	C₂	1	1	yes	maximal, characteristic, complemented
3	#59812	C₂	1	2	yes	maximal, complemented
4	#59013	C₂	1	2	yes	maximal, complemented
5	#58996	C₂	1	2	yes	maximal, complemented
6	#51966	C₂	1	2	yes	maximal, complemented
7	#51865	C₂	1	4	yes	maximal, complemented
8	#51860	C₂	1	2	yes	maximal, complemented
9	#47184	C₂	1	4	yes	maximal, complemented
10	#46971	C₂	1	2	yes	maximal, complemented
11	#46965	C₂	1	2	yes	maximal, complemented
12	#46338	C₂	1	1	yes	maximal, characteristic, complemented
13	#46073	C₂	1	1	yes	maximal, characteristic, complemented
14	#45701	C₂	1	2	yes	maximal, complemented
15	#43173	C₂	1	4	yes	maximal, complemented
16	#42011	C₂	1	2	yes	maximal, complemented
17	#42009	C₂	1	2	yes	maximal, complemented
18	#40056	C₂	1	2	yes	maximal, complemented
19	#40044	C₂	1	2	yes	maximal, complemented
20	#39960	C₂	1	2	yes	maximal, complemented
21	#39948	C₂	1	2	yes	maximal, complemented
22	#39477	C₂	1	2	yes	maximal, complemented
23	#37848	C₂	1	4	yes	maximal, complemented
24	#36702	C₂	1	2	yes	maximal, complemented
25	#36360	C₂	1	2	yes	maximal, complemented
26	#36293	C₂	1	2	yes	maximal, complemented
27	#36152	C₂	1	2	yes	maximal, complemented
28	#35010	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2408	C₂	1	1	yes	maximal, characteristic, complemented
30	#34356	C₂	1	2	yes	maximal, complemented
31	C₄×#535	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₄	C₂²	1	1	yes	characteristic
33	C₂×#553	C₂²	1	2	yes	complemented
34	C₂×#548	C₂²	1	2	yes	complemented
35	C₂×#546	C₂²	1	2	yes	—
36	C₂×#546	C₂²	1	2	yes	complemented
37	C₂×#546	C₂²	1	2	yes	complemented
38	C₂×#535	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#121	C₂²	1	2	yes	—
41	C₂²×#120	C₂²	1	2	yes	—
42	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
44	#2861	C₂²	1	2	yes	complemented
45	#2860	C₂²	1	2	yes	complemented
46	#2855	C₂²	1	2	yes	complemented
47	#2854	C₂²	1	2	yes	complemented
48	#2850	C₂²	1	2	yes	complemented
49	#2848	C₂²	1	2	yes	—
50	#2846	C₂²	1	4	yes	—
51	#2837	C₂²	1	4	yes	complemented
52	#2832	C₂²	1	2	yes	complemented
53	#2828	C₂²	1	2	yes	complemented
54	#2795	C₂²	1	2	yes	complemented
55	#2787	C₂²	1	4	yes	complemented
56	#2785	C₂²	1	2	yes	complemented
57	#2782	C₂²	1	2	yes	complemented
58	#2781	C₂²	1	4	yes	complemented
59	#2781	C₂²	1	4	yes	complemented
60	#2779	C₂²	1	4	yes	complemented
61	#2778	C₂²	1	4	yes	complemented
62	#2778	C₂²	1	4	yes	complemented
63	#2778	C₂²	1	4	yes	complemented
64	#2770	C₂²	1	4	yes	complemented
65	#2756	C₂²	1	4	yes	complemented
66	#2756	C₂²	1	4	yes	complemented
67	#2753	C₂²	1	4	yes	complemented
68	#2736	C₂²	1	4	yes	complemented
69	#2735	C₂²	1	4	yes	complemented
70	#2735	C₂²	1	4	yes	complemented
71	#2735	C₂²	1	4	yes	complemented
72	#2718	C₂²	1	4	yes	complemented
73	#2714	C₂²	1	4	yes	complemented
74	#2708	C₂²	1	4	yes	complemented
75	#2703	C₂²	1	4	yes	complemented
76	#2703	C₂²	1	4	yes	complemented
77	#2703	C₂²	1	4	yes	complemented
78	#2697	C₂²	1	4	yes	complemented
79	#2691	C₂²	1	4	yes	complemented
80	#2688	C₂²	1	4	yes	complemented
81	#2686	C₂²	1	4	yes	complemented
82	#2685	C₂²	1	4	yes	complemented
83	#2685	C₂²	1	4	yes	complemented
84	#2684	C₂²	1	2	yes	complemented
85	#2684	C₂²	1	4	yes	complemented
86	#2684	C₂²	1	2	yes	complemented
87	#2684	C₂²	1	4	yes	complemented
88	#2681	C₂²	1	4	yes	complemented
89	#2680	C₂²	1	2	yes	complemented
90	#2676	C₂²	1	4	yes	complemented
91	#2669	C₂²	1	2	yes	complemented
92	#2669	C₂²	1	4	yes	complemented
93	#2669	C₂²	1	2	yes	complemented
94	#2668	C₂²	1	4	yes	complemented
95	#2668	C₂²	1	4	yes	complemented
96	#2668	C₂²	1	4	yes	complemented
97	#2668	C₂²	1	4	yes	complemented
98	#2663	C₂²	1	4	yes	complemented
99	#2661	C₂²	1	4	yes	complemented
100	#2653	C₂²	1	4	yes	complemented
101	#2649	C₂²	1	4	yes	complemented
102	#2627	C₂²	1	2	yes	complemented
103	#2626	C₂²	1	2	yes	—
104	#2622	C₂²	1	4	yes	—
105	#2602	C₂²	1	4	yes	complemented
106	#2598	C₂²	1	4	yes	complemented
107	#2597	C₂²	1	4	yes	complemented
108	#2592	C₂²	1	2	yes	complemented
109	#2580	C₂²	1	2	yes	complemented
110	#2579	C₂²	1	2	yes	complemented
111	#2579	C₂²	1	2	yes	complemented
112	#2572	C₂²	1	2	yes	complemented
113	#2564	C₂²	1	2	yes	complemented
114	#2564	C₂²	1	2	yes	complemented
115	#2562	C₂²	1	2	yes	complemented
116	#2561	C₂²	1	4	yes	complemented
117	#2555	C₂²	1	2	yes	complemented
118	#2553	C₂²	1	4	yes	complemented
119	#2543	C₂²	1	4	yes	complemented
120	#2540	C₂²	1	2	yes	complemented
121	#2536	C₂²	1	2	yes	complemented
122	#2535	C₂²	1	2	yes	complemented
123	#2535	C₂²	1	4	yes	complemented
124	#2534	C₂²	1	4	yes	complemented
125	#2531	C₂²	1	4	yes	complemented
126	#2526	C₂²	1	4	yes	complemented
127	#2513	C₂²	1	2	yes	complemented
128	#2510	C₂²	1	4	yes	complemented
129	#2505	C₂²	1	4	yes	complemented
130	#2504	C₂²	1	2	yes	complemented
131	#2495	C₂²	1	2	yes	complemented
132	#2494	C₂²	1	2	yes	complemented
133	#2490	C₂²	1	2	yes	complemented
134	#2489	C₂²	1	2	yes	complemented
135	#2487	C₂²	1	1	yes	characteristic, complemented
136	#2487	C₂²	1	1	yes	characteristic, complemented
137	#2485	C₂²	1	2	yes	complemented
138	#2482	C₂²	1	4	yes	complemented
139	#2482	C₂²	1	4	yes	complemented
140	#2480	C₂²	1	4	yes	complemented
141	#2480	C₂²	1	4	yes	complemented
142	#2480	C₂²	1	4	yes	complemented
143	#2480	C₂²	1	4	yes	complemented
144	#2479	C₂²	1	4	yes	complemented
145	#2476	C₂²	1	4	yes	complemented
146	#2472	C₂²	1	4	yes	complemented
147	#2472	C₂²	1	4	yes	complemented
148	#2471	C₂²	1	4	yes	complemented
149	#2467	C₂²	1	4	yes	complemented
150	#2464	C₂²	1	4	yes	complemented
151	#2458	C₂²	1	4	yes	complemented
152	#2457	C₂²	1	4	yes	complemented
153	#2456	C₂²	1	4	yes	complemented
154	#2456	C₂²	1	4	yes	complemented
155	#2454	C₂²	1	2	yes	complemented
156	#2448	C₂²	1	2	yes	complemented
157	#2447	C₂²	1	2	yes	complemented
158	#2444	C₂²	1	4	yes	complemented
159	#2443	C₂²	1	4	yes	complemented
160	#2442	C₂²	1	2	yes	complemented
161	#2437	C₂²	1	4	yes	complemented
162	#2436	C₂²	1	2	yes	complemented
163	#2435	C₂²	1	2	yes	—
164	#2435	C₂²	1	2	yes	complemented
165	#2435	C₂²	1	2	yes	complemented
166	#2427	C₂²	1	2	yes	complemented
167	#2426	C₂²	1	2	yes	complemented
168	#2421	C₂²	1	2	yes	complemented
169	#2420	C₂²	1	2	yes	complemented
170	#2418	C₂²	1	4	yes	complemented
171	#2418	C₂²	1	4	yes	complemented
172	#2417	C₂²	1	2	yes	complemented
173	#2417	C₂²	1	2	yes	complemented
174	#2417	C₂²	1	2	yes	complemented
175	#2416	C₂²	1	2	yes	complemented
176	#2416	C₂²	1	2	yes	complemented
177	#2416	C₂²	1	4	yes	complemented
178	#2415	C₂²	1	2	yes	complemented
179	#2414	C₂²	1	2	yes	complemented
180	#2414	C₂²	1	2	yes	complemented
181	#2414	C₂²	1	4	yes	complemented
182	#2412	C₂²	1	4	yes	complemented
183	#2411	C₂²	1	4	yes	complemented
184	#2410	C₂²	1	4	yes	—
185	#2410	C₂²	1	4	yes	complemented
186	#2410	C₂²	1	4	yes	complemented
187	#2410	C₂²	1	4	yes	complemented
188	#2410	C₂²	1	4	yes	complemented
189	#2409	C₂²	1	1	yes	characteristic, complemented
190	#2409	C₂²	1	1	yes	characteristic, complemented
191	#2408	C₂²	1	1	yes	characteristic
192	#2408	C₂²	1	2	yes	—
193	#2408	C₂²	1	2	yes	—
194	#2408	C₂²	1	2	yes	—
195	#2408	C₂²	1	1	yes	characteristic
196	#2408	C₂²	1	2	yes	—
197	#2408	C₂²	1	2	yes	—
198	#2408	C₂²	1	1	yes	characteristic
199	#2408	C₂²	1	2	yes	—
200	#2408	C₂²	1	2	yes	—
201	#2408	C₂²	1	1	yes	characteristic
202	#2408	C₂²	1	2	yes	complemented
203	#2408	C₂²	1	2	yes	complemented
204	#2407	C₂²	1	2	yes	complemented
205	#2407	C₂²	1	2	yes	complemented
206	#2405	C₂²	1	4	yes	—
207	#2405	C₂²	1	4	yes	complemented
208	#2405	C₂²	1	4	yes	complemented
209	#2404	C₂²	1	4	yes	complemented
210	C₂×#394	C₂²	1	2	yes	—
211	C₂×#392	C₂²	1	2	yes	—
212	#2375	C₂²	1	2	yes	complemented
213	#2375	C₂²	1	4	yes	complemented
214	#2375	C₂²	1	2	yes	complemented
215	#2361	C₂²	1	2	yes	complemented
216	#2361	C₂²	1	2	yes	complemented
217	#2360	C₂²	1	2	yes	complemented
218	#2358	C₂²	1	4	yes	complemented
219	#2358	C₂²	1	2	yes	complemented
220	#2358	C₂²	1	2	yes	complemented
221	#2358	C₂²	1	4	yes	complemented
222	#2352	C₂²	1	2	yes	complemented
223	#2342	C₂²	1	4	yes	complemented
224	#2342	C₂²	1	4	yes	complemented
225	#2342	C₂²	1	4	yes	complemented
226	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
227	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
228	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
229	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
230	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
231	#2328	C₂²	1	1	yes	characteristic, complemented
232	#2328	C₂²	1	1	yes	characteristic, complemented
233	#2326	C₂²	1	1	yes	characteristic, complemented
234	#2326	C₂²	1	1	yes	characteristic, complemented
235	#2324	C₂²	1	2	yes	complemented
236	#2324	C₂²	1	2	yes	complemented
237	#2321	C₂²	1	2	yes	—
238	#2321	C₂²	1	2	yes	complemented
239	#2321	C₂²	1	4	yes	complemented
240	#2321	C₂²	1	4	yes	complemented
241	#2321	C₂²	1	4	yes	complemented
242	#2321	C₂²	1	4	yes	complemented
243	#2317	C₂²	1	1	yes	characteristic, complemented
244	#2315	C₂²	1	2	yes	complemented
245	#2312	C₂²	1	4	yes	—
246	#2311	C₂²	1	1	yes	characteristic, complemented
247	#2309	C₂²	1	1	yes	characteristic
248	#2308	C₂²	1	2	yes	—
249	C₄×#127	C₂²	1	1	yes	characteristic, complemented
250	C₄×#127	C₂²	1	1	yes	characteristic, complemented
251	C₄×#124	C₂²	1	1	yes	characteristic, complemented
252	C₄×#124	C₂²	1	1	yes	characteristic, complemented
253	C₄×#124	C₂²	1	2	yes	complemented
254	C₄×#121	C₂²	1	2	yes	complemented
255	C₄×#121	C₂²	1	2	yes	complemented
256	C₄×#121	C₂²	1	2	yes	complemented
257	C₄×#120	C₂²	1	2	yes	—
258	C₄×#120	C₂²	1	2	yes	complemented
259	#2297	C₂²	1	2	yes	complemented
260	#2293	C₂²	1	2	yes	complemented
261	C₂×#390	C₂²	1	2	yes	—
262	C₂×#380	C₂²	1	1	yes	characteristic
263	C₂×#380	C₂²	1	1	yes	characteristic, complemented
264	C₂×#379	C₂²	1	4	yes	—
265	C₂×#379	C₂²	1	2	yes	—
266	C₄×#117	C₂²	1	1	yes	characteristic, complemented
267	C₂⁶	C₂³	1	2	yes	—
268	C₂²×#41	C₂³	1	1	yes	characteristic
269	C₂²×#41	C₂³	1	2	yes	—
270	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
271	C₂³×D₄	—	4	4	no	—
272	C₂³×D₄	—	4	8	no	—
273	C₂³×D₄	C₂³	1	2	yes	—
274	C₂³×D₄	C₂³	1	1	yes	characteristic
275	C₂³×D₄	C₂³	1	2	yes	—
276	C₂³×D₄	C₂³	1	4	yes	—
277	C₂³×D₄	C₂³	1	2	yes	—
278	C₂³×D₄	C₂³	1	2	yes	—
279	C₂³×D₄	C₂³	1	2	yes	—
280	C₂³×D₄	C₂³	1	1	yes	characteristic
281	C₂³×D₄	C₂³	1	1	yes	characteristic
282	C₂⁴×C₄	C₂³	1	1	yes	characteristic
283	C₂⁴×C₄	C₂³	1	1	yes	characteristic
284	#553	—	4	8	no	—
285	#548	—	4	8	no	—
286	#546	—	4	8	no	—
287	#546	—	4	8	no	—
288	#546	—	4	8	no	—
289	#535	—	2	8	no	—
290	C₂×#127	C₂³	1	1	yes	characteristic
291	C₂×#127	C₂³	1	1	yes	characteristic
292	C₂×#126	C₂³	1	4	yes	complemented
293	C₂×#126	C₂³	1	4	yes	complemented
294	C₂×#125	C₂³	1	2	yes	complemented
295	C₂×#124	C₂³	1	1	yes	characteristic
296	C₂×#124	C₂³	1	1	yes	characteristic
297	C₂×#124	C₂³	1	2	yes	—
298	C₂×#124	C₂³	1	2	yes	—
299	C₂×#124	C₂³	1	2	yes	—
300	C₂×#124	C₂³	1	4	yes	complemented
301	C₂×#123	C₂³	1	4	yes	—
302	C₂×#123	C₂³	1	4	yes	—
303	C₂×#123	C₂³	1	4	yes	—
304	C₂×#123	C₂³	1	4	yes	complemented
305	C₂×#123	C₂³	1	4	yes	complemented
306	C₂×C₂²⋊Q₈	—	4	4	no	—
307	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
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	2	yes	complemented
314	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
315	C₂×#121	—	4	8	no	—
316	C₂×#121	C₂³	1	2	yes	—
317	C₂×#121	C₂³	1	2	yes	—
318	C₂×#121	C₂³	1	2	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	4	yes	—
324	C₂×#121	C₂³	1	2	yes	—
325	C₂×#121	C₂³	1	2	yes	—
326	C₂×#121	C₂³	1	4	yes	—
327	C₂×#121	C₂³	1	4	yes	—
328	C₂×#121	C₂³	1	4	yes	—
329	C₂×#121	C₂³	1	4	yes	—
330	C₂×#121	C₂³	1	4	yes	complemented
331	C₂×#121	C₂³	1	4	yes	complemented
332	C₂×#121	C₂³	1	4	yes	complemented
333	C₂×#121	C₂³	1	4	yes	complemented
334	C₂×#120	—	2	16	no	—
335	C₂×#120	C₂³	1	2	yes	—
336	C₂×#120	C₂³	1	4	yes	—
337	C₂×#120	C₂³	1	4	yes	—
338	C₂×#120	C₂³	1	2	yes	—
339	C₂×#120	C₂³	1	2	yes	—
340	C₂×#120	C₂³	1	2	yes	—
341	C₂×#120	C₂³	1	2	yes	—
342	C₂×#120	C₂³	1	2	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	C₄×#41	—	4	4	no	—
350	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
351	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
352	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
353	C₂×C₄×D₄	—	4	4	no	—
354	C₂×C₄×D₄	C₂³	1	2	yes	—
355	C₂×C₄×D₄	C₂³	1	2	yes	—
356	C₂×C₄×D₄	C₂³	1	2	yes	—
357	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
358	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
359	C₂×C₄×D₄	C₂³	1	2	yes	—
360	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
361	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
362	C₂×C₄×D₄	C₂³	1	2	yes	—
363	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
364	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
365	C₂×C₄×D₄	C₂³	1	2	yes	—
366	C₂×C₄×D₄	C₂³	1	2	yes	—
367	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
368	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
369	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
370	C₂×C₄×D₄	C₂³	1	2	yes	complemented
371	C₂×C₄×D₄	C₂³	1	2	yes	complemented
372	C₂×C₄×D₄	C₂³	1	4	yes	complemented
373	C₂×C₄×D₄	C₂³	1	4	yes	complemented
374	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
375	C₂×C₄×D₄	C₂³	1	4	yes	complemented
376	C₂×C₄×D₄	C₂³	1	4	yes	complemented
377	C₂×C₄×D₄	C₂³	1	4	yes	complemented
378	C₂×#117	C₂³	1	1	yes	characteristic
379	C₂×#117	C₂³	1	1	yes	characteristic
380	C₂×#117	C₂³	1	1	yes	characteristic
381	C₂×#117	C₂³	1	2	yes	complemented
382	C₂×#117	C₂³	1	2	yes	complemented
383	C₂×#117	C₂³	1	4	yes	complemented
384	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
385	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
386	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
387	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
388	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
389	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
390	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
391	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
392	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
393	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
394	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
395	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
396	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
397	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
398	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
399	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
400	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
401	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
402	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
403	C₂²×C₄²	C₂³	1	1	yes	characteristic
404	C₂²×C₄²	C₂³	1	2	yes	complemented
405	#401	C₂³	1	4	yes	complemented
406	#400	C₂³	1	4	yes	complemented
407	#400	C₂³	1	2	yes	complemented
408	#400	C₂³	1	2	yes	complemented
409	#400	C₂³	1	4	yes	complemented
410	#400	C₂³	1	4	yes	complemented
411	#400	C₂³	1	4	yes	complemented
412	#400	C₂³	1	4	yes	complemented
413	#399	C₂³	1	2	yes	—
414	#399	C₂³	1	2	yes	—
415	#399	C₂³	1	4	yes	complemented
416	#399	C₂³	1	4	yes	complemented
417	#399	C₂³	1	4	yes	complemented
418	#399	C₂³	1	4	yes	complemented
419	#398	C₂³	1	4	yes	complemented
420	#398	C₂³	1	4	yes	complemented
421	#398	C₂³	1	4	yes	complemented
422	#398	C₂³	1	4	yes	complemented
423	#398	C₂³	1	4	yes	complemented
424	#397	C₂³	1	4	yes	—
425	#397	C₂³	1	4	yes	—
426	#397	C₂³	1	4	yes	—
427	#397	C₂³	1	4	yes	—
428	#397	C₂³	1	4	yes	complemented
429	#397	C₂³	1	4	yes	complemented
430	#397	C₂³	1	4	yes	complemented
431	#397	C₂³	1	4	yes	complemented
432	#397	C₂³	1	4	yes	complemented
433	#397	C₂³	1	4	yes	complemented
434	#397	C₂³	1	4	yes	complemented
435	#397	C₂³	1	4	yes	complemented
436	#397	C₂³	1	4	yes	complemented
437	#397	C₂³	1	4	yes	complemented
438	#397	C₂³	1	4	yes	complemented
439	#397	C₂³	1	4	yes	complemented
440	#397	C₂³	1	4	yes	complemented
441	#397	C₂³	1	4	yes	complemented
442	#396	C₂³	1	4	yes	—
443	#396	C₂³	1	4	yes	—
444	#396	C₂³	1	4	yes	complemented
445	#396	C₂³	1	4	yes	complemented
446	#396	C₂³	1	4	yes	complemented
447	#396	C₂³	1	4	yes	complemented
448	#396	C₂³	1	4	yes	complemented
449	#395	C₂³	1	2	yes	complemented
450	#395	C₂³	1	2	yes	complemented
451	#394	C₂³	1	4	yes	—
452	#394	C₂³	1	2	yes	—
453	#394	C₂³	1	2	yes	—
454	#394	C₂³	1	4	yes	—
455	#394	C₂³	1	2	yes	—
456	#394	C₂³	1	4	yes	—
457	#394	C₂³	1	4	yes	—
458	#394	C₂³	1	4	yes	—
459	#394	C₂³	1	4	yes	—
460	#394	C₂³	1	4	yes	—
461	#394	C₂³	1	4	yes	—
462	#394	C₂³	1	4	yes	—
463	#394	C₂³	1	4	yes	—
464	#394	C₂³	1	4	yes	—
465	#394	C₂³	1	2	yes	—
466	#394	C₂³	1	4	yes	—
467	#394	C₂³	1	4	yes	—
468	#394	C₂³	1	4	yes	—
469	#394	C₂³	1	4	yes	—
470	#394	C₂³	1	4	yes	complemented
471	#394	C₂³	1	4	yes	complemented
472	#394	C₂³	1	4	yes	complemented
473	#394	C₂³	1	4	yes	complemented
474	#394	C₂³	1	4	yes	complemented
475	#394	C₂³	1	4	yes	complemented
476	#394	C₂³	1	4	yes	complemented
477	#394	C₂³	1	4	yes	complemented
478	#394	C₂³	1	4	yes	complemented
479	#394	C₂³	1	4	yes	complemented
480	#393	C₂³	1	2	yes	—
481	#393	C₂³	1	2	yes	—
482	#393	C₂³	1	4	yes	complemented
483	#393	C₂³	1	4	yes	complemented
484	#393	C₂³	1	4	yes	complemented
485	#393	C₂³	1	4	yes	complemented
486	#392	C₂³	1	4	yes	—
487	#392	C₂³	1	2	yes	—
488	#392	C₂³	1	4	yes	—
489	#392	C₂³	1	4	yes	—
490	#392	C₂³	1	2	yes	—
491	#392	C₂³	1	2	yes	—
492	#392	C₂³	1	2	yes	—
493	#392	C₂³	1	4	yes	—
494	#392	C₂³	1	4	yes	—
495	#392	C₂³	1	4	yes	complemented
496	#392	C₂³	1	4	yes	complemented
497	#392	C₂³	1	4	yes	complemented
498	#392	C₂³	1	4	yes	complemented
499	#392	C₂³	1	4	yes	complemented
500	#392	C₂³	1	4	yes	complemented
501	#391	C₂³	1	1	yes	characteristic, complemented
502	#391	C₂³	1	1	yes	characteristic, complemented
503	#391	C₂³	1	2	yes	complemented
504	#391	C₂³	1	2	yes	complemented
505	#391	C₂³	1	2	yes	complemented
506	#391	C₂³	1	2	yes	complemented
507	#390	C₂³	1	1	yes	characteristic
508	#390	C₂³	1	1	yes	characteristic
509	#390	C₂³	1	2	yes	—
510	#390	C₂³	1	2	yes	—
511	#390	C₂³	1	2	yes	—
512	#390	C₂³	1	1	yes	characteristic
513	#390	C₂³	1	2	yes	—
514	#390	C₂³	1	1	yes	characteristic
515	#390	C₂³	1	2	yes	—
516	#390	C₂³	1	2	yes	—
517	#390	C₂³	1	2	yes	—
518	#390	C₂³	1	2	yes	—
519	#390	C₂³	1	2	yes	—
520	#390	C₂³	1	2	yes	—
521	#390	C₂³	1	2	yes	—
522	#390	C₂³	1	2	yes	—
523	#390	C₂³	1	2	yes	—
524	#390	C₂³	1	4	yes	—
525	#390	C₂³	1	2	yes	—
526	#390	C₂³	1	4	yes	—
527	#390	C₂³	1	1	yes	characteristic, complemented
528	#390	C₂³	1	1	yes	characteristic, complemented
529	#390	C₂³	1	2	yes	complemented
530	#390	C₂³	1	2	yes	complemented
531	#390	C₂³	1	4	yes	complemented
532	#390	C₂³	1	4	yes	complemented
533	#390	C₂³	1	4	yes	complemented
534	#390	C₂³	1	4	yes	complemented
535	#390	C₂³	1	4	yes	complemented
536	#390	C₂³	1	4	yes	complemented
537	#389	C₂³	1	2	yes	complemented
538	#389	C₂³	1	2	yes	complemented
539	#389	C₂³	1	2	yes	complemented
540	#389	C₂³	1	2	yes	complemented
541	#389	C₂³	1	2	yes	complemented
542	#389	C₂³	1	4	yes	complemented
543	#389	C₂³	1	2	yes	complemented
544	#389	C₂³	1	2	yes	complemented
545	#389	C₂³	1	4	yes	complemented
546	#389	C₂³	1	2	yes	complemented
547	#388	C₂³	1	2	yes	—
548	#388	C₂³	1	4	yes	—
549	#388	C₂³	1	4	yes	—
550	#388	C₂³	1	4	yes	—
551	#388	C₂³	1	4	yes	—
552	#388	C₂³	1	4	yes	—
553	#388	C₂³	1	4	yes	—
554	#388	C₂³	1	4	yes	—
555	#388	C₂³	1	4	yes	—
556	#388	C₂³	1	2	yes	—
557	#388	C₂³	1	2	yes	—
558	#388	C₂³	1	2	yes	—
559	#388	C₂³	1	4	yes	complemented
560	#388	C₂³	1	4	yes	complemented
561	#388	C₂³	1	4	yes	complemented
562	#388	C₂³	1	4	yes	complemented
563	#388	C₂³	1	4	yes	complemented
564	#388	C₂³	1	4	yes	complemented
565	#388	C₂³	1	2	yes	complemented
566	#388	C₂³	1	2	yes	complemented
567	#388	C₂³	1	4	yes	complemented
568	#388	C₂³	1	4	yes	complemented
569	#388	C₂³	1	2	yes	complemented
570	#388	C₂³	1	2	yes	complemented
571	#388	C₂³	1	4	yes	complemented
572	#388	C₂³	1	4	yes	complemented
573	#388	C₂³	1	4	yes	complemented
574	#388	C₂³	1	4	yes	complemented
575	#388	C₂³	1	4	yes	complemented
576	#388	C₂³	1	4	yes	complemented
577	#388	C₂³	1	4	yes	complemented
578	#388	C₂³	1	4	yes	complemented
579	#388	C₂³	1	4	yes	complemented
580	#388	C₂³	1	4	yes	complemented
581	#388	C₂³	1	4	yes	complemented
582	#388	C₂³	1	4	yes	complemented
583	#388	C₂³	1	4	yes	complemented
584	#388	C₂³	1	4	yes	complemented
585	#388	C₂³	1	4	yes	complemented
586	#388	C₂³	1	4	yes	complemented
587	#388	C₂³	1	4	yes	complemented
588	#388	C₂³	1	4	yes	complemented
589	#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	#387	C₂³	1	4	yes	complemented
595	#387	C₂³	1	4	yes	complemented
596	#387	C₂³	1	4	yes	complemented
597	#387	C₂³	1	4	yes	complemented
598	#387	C₂³	1	4	yes	complemented
599	#387	C₂³	1	4	yes	complemented
600	#387	C₂³	1	4	yes	complemented
601	#386	C₂³	1	4	yes	—
602	#386	C₂³	1	4	yes	—
603	#386	C₂³	1	2	yes	—
604	#386	C₂³	1	2	yes	—
605	#386	C₂³	1	2	yes	—
606	#386	C₂³	1	2	yes	—
607	#386	C₂³	1	2	yes	—
608	#386	C₂³	1	2	yes	—
609	#386	C₂³	1	4	yes	—
610	#386	C₂³	1	2	yes	—
611	#386	C₂³	1	2	yes	—
612	#386	C₂³	1	2	yes	—
613	#386	C₂³	1	2	yes	—
614	#386	C₂³	1	4	yes	—
615	#386	C₂³	1	4	yes	—
616	#386	C₂³	1	4	yes	—
617	#386	C₂³	1	4	yes	—
618	#386	C₂³	1	4	yes	—
619	#386	C₂³	1	4	yes	—
620	#386	C₂³	1	4	yes	—
621	#386	C₂³	1	2	yes	complemented
622	#386	C₂³	1	2	yes	complemented
623	#386	C₂³	1	4	yes	complemented
624	#386	C₂³	1	4	yes	complemented
625	#386	C₂³	1	4	yes	complemented
626	#386	C₂³	1	4	yes	complemented
627	#386	C₂³	1	4	yes	complemented
628	#386	C₂³	1	4	yes	complemented
629	#386	C₂³	1	4	yes	complemented
630	#386	C₂³	1	4	yes	complemented
631	#386	C₂³	1	2	yes	complemented
632	#386	C₂³	1	2	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	#385	C₂³	1	4	yes	—
646	#385	C₂³	1	4	yes	—
647	#385	C₂³	1	4	yes	—
648	#385	C₂³	1	4	yes	—
649	#385	C₂³	1	2	yes	—
650	#385	C₂³	1	2	yes	—
651	#385	C₂³	1	2	yes	—
652	#385	C₂³	1	2	yes	—
653	#385	C₂³	1	4	yes	—
654	#385	C₂³	1	4	yes	—
655	#385	C₂³	1	2	yes	complemented
656	#385	C₂³	1	2	yes	complemented
657	#385	C₂³	1	2	yes	complemented
658	#385	C₂³	1	2	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	#385	C₂³	1	2	yes	complemented
664	#385	C₂³	1	2	yes	complemented
665	#385	C₂³	1	4	yes	complemented
666	#385	C₂³	1	4	yes	complemented
667	#385	C₂³	1	4	yes	complemented
668	#385	C₂³	1	4	yes	complemented
669	#384	C₂³	1	1	yes	characteristic, complemented
670	#384	C₂³	1	1	yes	characteristic, complemented
671	#383	C₂³	1	4	yes	complemented
672	#382	C₂³	1	1	yes	characteristic, complemented
673	#382	C₂³	1	1	yes	characteristic, complemented
674	#382	C₂³	1	2	yes	complemented
675	#382	C₂³	1	2	yes	complemented
676	#382	C₂³	1	4	yes	complemented
677	#381	C₂³	1	4	yes	—
678	#381	C₂³	1	4	yes	complemented
679	#381	C₂³	1	4	yes	complemented
680	#380	C₂³	1	2	yes	—
681	#380	C₂³	1	2	yes	—
682	#380	C₂³	1	4	yes	—
683	#380	C₂³	1	4	yes	—
684	#380	C₂³	1	2	yes	—
685	#380	C₂³	1	2	yes	—
686	#380	C₂³	1	2	yes	—
687	#380	C₂³	1	1	yes	characteristic
688	#380	C₂³	1	1	yes	characteristic
689	#380	C₂³	1	2	yes	—
690	#380	C₂³	1	2	yes	—
691	#380	C₂³	1	2	yes	complemented
692	#380	C₂³	1	2	yes	complemented
693	#380	C₂³	1	4	yes	complemented
694	#380	C₂³	1	4	yes	complemented
695	#380	C₂³	1	2	yes	complemented
696	#380	C₂³	1	2	yes	complemented
697	#380	C₂³	1	2	yes	complemented
698	#380	C₂³	1	4	yes	complemented
699	#380	C₂³	1	1	yes	characteristic, complemented
700	#380	C₂³	1	1	yes	characteristic, complemented
701	#380	C₂³	1	4	yes	complemented
702	#379	C₂³	1	4	yes	—
703	#379	C₂³	1	4	yes	—
704	#379	C₂³	1	4	yes	—
705	#379	C₂³	1	2	yes	—
706	#379	C₂³	1	2	yes	—
707	#379	C₂³	1	4	yes	—
708	#379	C₂³	1	4	yes	—
709	#379	C₂³	1	4	yes	—
710	#379	C₂³	1	4	yes	—
711	#379	C₂³	1	4	yes	—
712	#379	C₂³	1	4	yes	—
713	#379	C₂³	1	4	yes	—
714	#379	C₂³	1	4	yes	—
715	#379	C₂³	1	4	yes	—
716	#379	C₂³	1	4	yes	—
717	#379	C₂³	1	4	yes	—
718	#379	C₂³	1	4	yes	—
719	#379	C₂³	1	2	yes	—
720	#379	C₂³	1	2	yes	—
721	#379	C₂³	1	2	yes	—
722	#379	C₂³	1	2	yes	—
723	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
724	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
725	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
726	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
727	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
728	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
729	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
730	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
731	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
732	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
733	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
734	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
735	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
736	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
737	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
738	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
739	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
740	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
741	#376	C₂³	1	1	yes	characteristic, complemented
742	#376	C₂³	1	1	yes	characteristic, complemented
743	C₂×#95	C₂³	1	2	yes	—
744	C₂×#95	C₂³	1	2	yes	complemented
745	C₄³	C₂³	1	1	yes	characteristic, complemented
746	C₄³	C₂³	1	1	yes	characteristic, complemented
747	C₂⁵	—	2	8	no	—
748	C₂⁵	—	4	4	no	—
749	C₂⁵	—	4	8	no	—
750	C₂⁵	—	4	4	no	—
751	C₂⁵	—	8	4	no	—
752	C₂⁵	C₂⁴	1	4	yes	—
753	C₂⁵	C₂⁴	1	2	yes	—
754	C₂⁵	C₂⁴	1	4	yes	—
755	C₂⁵	C₂⁴	1	1	yes	characteristic
756	C₂⁵	C₂⁴	1	1	yes	characteristic
757	C₂⁵	C₂⁴	1	2	yes	—
758	C₂×#41	—	2	8	no	—
759	C₂×#41	—	2	4	no	—
760	C₂×#41	—	4	2	no	—
761	C₂×#41	—	4	2	no	—
762	C₂×#41	—	4	4	no	—
763	C₂×#41	—	4	4	no	—
764	C₂²×Q₈	—	4	2	no	—
765	C₂²×Q₈	—	4	4	no	—
766	C₂²×Q₈	C₂⁴	1	2	yes	—
767	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
768	C₂²×Q₈	C₂⁴	1	2	yes	—
769	C₂²×D₄	—	2	16	no	—
770	C₂²×D₄	—	2	8	no	—
771	C₂²×D₄	—	2	8	no	—
772	C₂²×D₄	—	2	8	no	—
773	C₂²×D₄	—	2	8	no	—
774	C₂²×D₄	—	4	4	no	—
775	C₂²×D₄	—	4	2	no	—
776	C₂²×D₄	—	4	4	no	—
777	C₂²×D₄	—	4	4	no	—
778	C₂²×D₄	—	4	4	no	—
779	C₂²×D₄	—	4	2	no	—
780	C₂²×D₄	—	4	4	no	—
781	C₂²×D₄	—	4	4	no	—
782	C₂²×D₄	—	4	2	no	—
783	C₂²×D₄	—	4	4	no	—
784	C₂²×D₄	—	4	2	no	—
785	C₂²×D₄	—	4	8	no	—
786	C₂²×D₄	—	4	8	no	—
787	C₂²×D₄	—	4	8	no	—
788	C₂²×D₄	—	4	8	no	—
789	C₂²×D₄	—	4	64	no	—
790	C₂²×D₄	—	8	4	no	—
791	C₂²×D₄	#41	1	8	yes	complemented
792	C₂²×D₄	C₂⁴	1	2	yes	—
793	C₂²×D₄	C₂⁴	1	2	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	2	yes	—
798	C₂²×D₄	C₂⁴	1	2	yes	—
799	C₂²×D₄	C₂⁴	1	2	yes	—
800	C₂²×D₄	C₂⁴	1	2	yes	—
801	C₂²×D₄	C₂⁴	1	1	yes	characteristic
802	C₂²×D₄	C₂⁴	1	4	yes	—
803	C₂²×D₄	C₂⁴	1	2	yes	—
804	C₂²×D₄	C₂⁴	1	2	yes	—
805	C₂²×D₄	C₂⁴	1	4	yes	—
806	C₂²×D₄	C₂⁴	1	4	yes	—
807	C₂²×D₄	C₂⁴	1	4	yes	—
808	C₂²×D₄	C₂⁴	1	4	yes	—
809	C₂²×D₄	C₂⁴	1	4	yes	—
810	C₂²×D₄	C₂⁴	1	4	yes	—
811	C₂²×D₄	C₂⁴	1	2	yes	—
812	C₂²×D₄	C₂⁴	1	1	yes	characteristic
813	C₂²×D₄	C₂⁴	1	1	yes	characteristic
814	C₂²×D₄	C₂⁴	1	1	yes	characteristic
815	C₂²×D₄	C₂⁴	1	1	yes	characteristic
816	C₂³×C₄	—	2	4	no	—
817	C₂³×C₄	—	2	4	no	—
818	C₂³×C₄	—	4	4	no	—
819	C₂³×C₄	—	4	4	no	—
820	C₂³×C₄	C₂⁴	1	1	yes	characteristic
821	C₂³×C₄	C₂⁴	1	1	yes	characteristic
822	C₂³×C₄	C₂⁴	1	2	yes	—
823	C₂³×C₄	C₂⁴	1	1	yes	characteristic
824	C₂³×C₄	C₂⁴	1	1	yes	characteristic
825	C₂³×C₄	C₂⁴	1	1	yes	characteristic
826	C₂³×C₄	C₂⁴	1	1	yes	characteristic
827	C₂³×C₄	C₂⁴	1	1	yes	characteristic
828	C₂³×C₄	C₂⁴	1	1	yes	characteristic
829	C₂³×C₄	C₂⁴	1	4	yes	—
830	C₂³×C₄	C₂⁴	1	4	yes	—
831	C₂³×C₄	C₂⁴	1	4	yes	—
832	C₂³×C₄	C₂⁴	1	1	yes	characteristic
833	C₂³×C₄	C₂⁴	1	1	yes	characteristic
834	C₂³×C₄	C₂⁴	1	2	yes	—
835	C₂³×C₄	C₂⁴	1	1	yes	characteristic
836	C₂³×C₄	C₂⁴	1	1	yes	characteristic
837	C₂³×C₄	C₂⁴	1	1	yes	characteristic
838	C₂³×C₄	C₂⁴	1	4	yes	—
839	C₂³×C₄	C₂⁴	1	4	yes	—
840	C₂³×C₄	C₂⁴	1	2	yes	—
841	C₂³×C₄	C₂⁴	1	2	yes	—
842	C₂³×C₄	C₂⁴	1	4	yes	—
843	C₂³×C₄	C₂⁴	1	2	yes	—
844	#127	—	2	4	no	—
845	#127	—	2	4	no	—
846	#126	—	4	8	no	—
847	#126	—	8	4	no	—
848	#125	—	4	4	no	—
849	#124	—	2	4	no	—
850	#124	—	2	4	no	—
851	#124	—	2	8	no	—
852	#124	—	4	4	no	—
853	#124	—	4	4	no	—
854	#124	—	4	8	no	—
855	#123	—	4	8	no	—
856	#123	—	4	8	no	—
857	#123	—	4	8	no	—
858	#123	—	4	8	no	—
859	#123	—	8	4	no	—
860	C₂²⋊Q₈	—	2	8	no	—
861	C₂²⋊Q₈	—	4	4	no	—
862	C₂²⋊Q₈	—	4	8	no	—
863	C₂²⋊Q₈	—	4	4	no	—
864	C₂²⋊Q₈	—	4	4	no	—
865	C₂²⋊Q₈	—	4	4	no	—
866	C₂²⋊Q₈	—	4	4	no	—
867	C₂²⋊Q₈	—	4	4	no	—
868	#121	—	2	8	no	—
869	#121	—	2	8	no	—
870	#121	—	2	8	no	—
871	#121	—	2	8	no	—
872	#121	—	2	8	no	—
873	#121	—	4	8	no	—
874	#121	—	4	8	no	—
875	#121	—	4	8	no	—
876	#121	—	4	8	no	—
877	#121	—	4	8	no	—
878	#121	—	4	8	no	—
879	#121	—	4	4	no	—
880	#121	—	4	4	no	—
881	#121	—	4	4	no	—
882	#121	—	4	4	no	—
883	#121	—	4	8	no	—
884	#121	—	8	4	no	—
885	#121	—	8	4	no	—
886	#120	—	2	8	no	—
887	#120	—	2	8	no	—
888	#120	—	2	8	no	—
889	#120	—	2	8	no	—
890	#120	—	2	16	no	—
891	#120	—	2	16	no	—
892	#120	—	2	8	no	—
893	#120	—	2	8	no	—
894	#120	—	4	8	no	—
895	#120	—	4	8	no	—
896	#120	—	4	8	no	—
897	#120	—	4	8	no	—
898	#120	—	8	4	no	—
899	#120	—	8	4	no	—
900	C₄×Q₈	—	4	2	no	—
901	C₄×Q₈	—	4	2	no	—
902	C₄×Q₈	—	4	4	no	—
903	C₄×D₄	—	2	8	no	—
904	C₄×D₄	—	2	8	no	—
905	C₄×D₄	—	4	2	no	—
906	C₄×D₄	—	4	4	no	—
907	C₄×D₄	—	4	4	no	—
908	C₄×D₄	—	4	2	no	—
909	C₄×D₄	—	4	2	no	—
910	C₄×D₄	—	4	2	no	—
911	C₄×D₄	—	4	2	no	—
912	C₄×D₄	—	4	2	no	—
913	C₄×D₄	—	4	2	no	—
914	C₄×D₄	—	4	2	no	—
915	C₄×D₄	—	4	2	no	—
916	C₄×D₄	—	4	4	no	—
917	C₄×D₄	—	4	4	no	—
918	C₄×D₄	—	4	2	no	—
919	C₄×D₄	—	4	4	no	—
920	C₄×D₄	—	4	4	no	—
921	C₄×D₄	—	4	4	no	—
922	C₄×D₄	—	4	8	no	—
923	C₄×D₄	—	4	8	no	—
924	C₄×D₄	—	8	4	no	—
925	C₄×D₄	—	8	4	no	—
926	C₄×D₄	—	8	4	no	—
927	#117	—	2	4	no	—
928	#117	—	4	4	no	—
929	#117	—	4	2	no	—
930	#117	—	4	2	no	—
931	#117	—	4	4	no	—
932	#117	—	8	4	no	—
933	C₂×C₄⋊C₄	—	4	4	no	—
934	C₂×C₄⋊C₄	—	4	2	no	—
935	C₂×C₄⋊C₄	—	4	4	no	—
936	C₂×C₄⋊C₄	—	4	4	no	—
937	C₂×C₄⋊C₄	—	4	2	no	—
938	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
941	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
944	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
952	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
953	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
954	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
957	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
958	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
959	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
961	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
962	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
963	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
964	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
965	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
966	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
967	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
968	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
970	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
971	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
972	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
973	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
974	C₂×C₂²⋊C₄	—	2	8	no	—
975	C₂×C₂²⋊C₄	—	2	16	no	—
976	C₂×C₂²⋊C₄	—	4	8	no	—
977	C₂×C₂²⋊C₄	—	4	4	no	—
978	C₂×C₂²⋊C₄	—	4	8	no	—
979	C₂×C₂²⋊C₄	—	4	4	no	—
980	C₂×C₂²⋊C₄	—	4	8	no	—
981	C₂×C₂²⋊C₄	—	4	8	no	—
982	C₂×C₂²⋊C₄	—	4	2	no	—
983	C₂×C₂²⋊C₄	—	4	2	no	—
984	C₂×C₂²⋊C₄	—	4	8	no	—
985	C₂×C₂²⋊C₄	—	8	4	no	—
986	C₂×C₂²⋊C₄	—	8	4	no	—
987	C₂×C₂²⋊C₄	—	8	4	no	—
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	4	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1006	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×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	4	yes	—
1043	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1048	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1049	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1050	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1051	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1054	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1055	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1056	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1057	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1058	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1059	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1060	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1061	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1062	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1063	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1066	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1067	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1068	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1069	C₂×C₄²	—	2	4	no	—
1070	C₂×C₄²	—	4	4	no	—
1071	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1072	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1073	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1074	C₂×C₄²	C₂⁴	1	2	yes	—
1075	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1076	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1077	C₂×C₄²	C₂⁴	1	2	yes	—
1078	C₂×C₄²	C₂⁴	1	2	yes	—
1079	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1080	C₂×C₄²	C₂⁴	1	2	yes	—
1081	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1082	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1083	C₂×C₄²	C₂⁴	1	2	yes	—
1084	C₂×C₄²	C₂⁴	1	4	yes	—
1085	C₂×C₄²	C₂⁴	1	4	yes	—
1086	C₂×C₄²	C₂⁴	1	2	yes	—
1087	C₂×C₄²	C₂⁴	1	4	yes	—
1088	C₂×C₄²	C₂⁴	1	4	yes	—
1089	C₂×C₄²	C₂⁴	1	2	yes	—
1090	#95	C₂⁴	1	2	yes	—
1091	#95	C₂⁴	1	2	yes	—
1092	#95	C₂⁴	1	4	yes	—
1093	#95	C₂⁴	1	2	yes	—
1094	#95	C₂⁴	1	4	yes	—
1095	#95	C₂⁴	1	2	yes	—
1096	#95	C₂⁴	1	2	yes	—
1097	#95	C₂⁴	1	2	yes	—
1098	#95	C₂⁴	1	2	yes	—
1099	#95	C₂⁴	1	2	yes	—
1100	#95	C₂⁴	1	2	yes	—
1101	#95	C₂⁴	1	2	yes	—
1102	#95	C₂⁴	1	4	yes	—
1103	#95	C₂⁴	1	4	yes	—
1104	#95	C₂⁴	1	4	yes	—
1105	#95	C₂⁴	1	2	yes	—
1106	#95	C₂⁴	1	2	yes	—
1107	#95	C₂⁴	1	4	yes	—
1108	#95	C₂⁴	1	4	yes	—
1109	#95	C₂⁴	1	4	yes	—
1110	#95	C₂⁴	1	4	yes	—
1111	#95	C₂⁴	1	4	yes	—
1112	#95	C₂⁴	1	2	yes	—
1113	#95	C₂⁴	1	2	yes	—
1114	#95	C₂⁴	1	4	yes	—
1115	#95	C₂⁴	1	4	yes	—
1116	#95	C₂⁴	1	2	yes	—
1117	#95	C₂⁴	1	4	yes	—
1118	#95	C₂⁴	1	4	yes	—
1119	#95	C₂⁴	1	4	yes	—
1120	#95	C₂⁴	1	4	yes	—
1121	#95	C₂⁴	1	2	yes	—
1122	#95	C₂⁴	1	4	yes	—
1123	#95	C₂⁴	1	4	yes	—
1124	#95	C₂⁴	1	4	yes	—
1125	#95	C₂⁴	1	4	yes	—
1126	#95	C₂⁴	1	4	yes	—
1127	#95	C₂⁴	1	4	yes	—
1128	#95	C₂⁴	1	4	yes	—
1129	#95	C₂⁴	1	4	yes	—
1130	#95	C₂⁴	1	4	yes	—
1131	#95	C₂⁴	1	4	yes	—
1132	C₂⁴	—	2	2	no	—
1133	C₂⁴	—	2	2	no	—
1134	C₂⁴	—	2	2	no	—
1135	C₂⁴	—	2	2	no	—
1136	C₂⁴	—	2	8	no	—
1137	C₂⁴	—	2	8	no	—
1138	C₂⁴	—	2	4	no	—
1139	C₂⁴	—	2	8	no	—
1140	C₂⁴	—	2	8	no	—
1141	C₂⁴	—	2	8	no	—
1142	C₂⁴	—	2	8	no	—
1143	C₂⁴	—	2	8	no	—
1144	C₂⁴	—	2	4	no	—
1145	C₂⁴	—	4	2	no	—
1146	C₂⁴	—	4	2	no	—
1147	C₂⁴	—	4	4	no	—
1148	C₂⁴	—	4	4	no	—
1149	C₂⁴	—	4	4	no	—
1150	C₂⁴	—	4	2	no	—
1151	C₂⁴	—	4	4	no	—
1152	C₂⁴	—	4	4	no	—
1153	C₂⁴	—	4	4	no	—
1154	C₂⁴	—	4	2	no	—
1155	C₂⁴	—	4	4	no	—
1156	C₂⁴	—	4	2	no	—
1157	C₂⁴	—	4	2	no	—
1158	C₂⁴	—	4	4	no	—
1159	C₂⁴	—	4	4	no	—
1160	C₂⁴	—	4	4	no	—
1161	C₂⁴	—	4	2	no	—
1162	C₂⁴	—	4	4	no	—
1163	C₂⁴	—	4	2	no	—
1164	C₂⁴	—	4	32	no	—
1165	C₂⁴	—	8	16	no	—
1166	C₂⁴	—	8	32	no	—
1167	C₂⁴	—	8	32	no	—
1168	C₂⁴	—	8	16	no	—
1169	C₂⁴	C₂×#41	1	4	yes	—
1170	C₂⁴	C₂×#41	1	4	yes	—
1171	C₂⁴	C₂⁵	1	4	yes	—
1172	C₂⁴	C₂⁵	1	2	yes	—
1173	C₂⁴	C₂⁵	1	1	yes	characteristic
1174	C₂⁴	C₂⁵	1	1	yes	characteristic
1175	C₂⁴	C₂⁵	1	1	yes	characteristic
1176	C₂⁴	C₂⁵	1	1	yes	characteristic
1177	C₂⁴	C₂⁵	1	4	yes	—
1178	C₂⁴	C₂⁵	1	1	yes	characteristic
1179	#41	—	4	16	no	—
1180	#41	—	8	16	no	—
1181	C₂×Q₈	—	2	2	no	—
1182	C₂×Q₈	—	2	4	no	—
1183	C₂×Q₈	—	2	4	no	—
1184	C₂×Q₈	—	2	4	no	—
1185	C₂×Q₈	—	4	1	no	—
1186	C₂×Q₈	—	4	1	no	—
1187	C₂×Q₈	—	4	2	no	—
1188	C₂×Q₈	—	4	4	no	—
1189	C₂×Q₈	—	8	8	no	—
1190	C₂×D₄	—	2	8	no	—
1191	C₂×D₄	—	2	8	no	—
1192	C₂×D₄	—	2	4	no	—
1193	C₂×D₄	—	2	4	no	—
1194	C₂×D₄	—	2	8	no	—
1195	C₂×D₄	—	2	8	no	—
1196	C₂×D₄	—	2	8	no	—
1197	C₂×D₄	—	2	8	no	—
1198	C₂×D₄	—	2	8	no	—
1199	C₂×D₄	—	2	4	no	—
1200	C₂×D₄	—	2	8	no	—
1201	C₂×D₄	—	2	8	no	—
1202	C₂×D₄	—	2	4	no	—
1203	C₂×D₄	—	2	4	no	—
1204	C₂×D₄	—	2	4	no	—
1205	C₂×D₄	—	2	4	no	—
1206	C₂×D₄	—	2	8	no	—
1207	C₂×D₄	—	2	8	no	—
1208	C₂×D₄	—	2	2	no	—
1209	C₂×D₄	—	2	4	no	—
1210	C₂×D₄	—	2	4	no	—
1211	C₂×D₄	—	2	4	no	—
1212	C₂×D₄	—	2	8	no	—
1213	C₂×D₄	—	2	4	no	—
1214	C₂×D₄	—	2	4	no	—
1215	C₂×D₄	—	4	32	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	1	no	—
1221	C₂×D₄	—	4	4	no	—
1222	C₂×D₄	—	4	4	no	—
1223	C₂×D₄	—	4	4	no	—
1224	C₂×D₄	—	4	2	no	—
1225	C₂×D₄	—	4	4	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	4	4	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	16	no	—
1230	C₂×D₄	—	4	1	no	—
1231	C₂×D₄	—	4	1	no	—
1232	C₂×D₄	—	4	1	no	—
1233	C₂×D₄	—	4	1	no	—
1234	C₂×D₄	—	4	1	no	—
1235	C₂×D₄	—	4	2	no	—
1236	C₂×D₄	—	4	2	no	—
1237	C₂×D₄	—	4	2	no	—
1238	C₂×D₄	—	4	2	no	—
1239	C₂×D₄	—	4	4	no	—
1240	C₂×D₄	—	4	4	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	2	no	—
1244	C₂×D₄	—	4	2	no	—
1245	C₂×D₄	—	4	4	no	—
1246	C₂×D₄	—	4	4	no	—
1247	C₂×D₄	—	4	2	no	—
1248	C₂×D₄	—	4	2	no	—
1249	C₂×D₄	—	4	4	no	—
1250	C₂×D₄	—	4	4	no	—
1251	C₂×D₄	—	4	4	no	—
1252	C₂×D₄	—	4	4	no	—
1253	C₂×D₄	—	4	4	no	—
1254	C₂×D₄	—	4	4	no	—
1255	C₂×D₄	—	4	4	no	—
1256	C₂×D₄	—	4	4	no	—
1257	C₂×D₄	—	4	16	no	—
1258	C₂×D₄	—	4	32	no	—
1259	C₂×D₄	—	4	32	no	—
1260	C₂×D₄	—	4	32	no	—
1261	C₂×D₄	—	4	32	no	—
1262	C₂×D₄	—	4	16	no	—
1263	C₂×D₄	—	8	32	no	—
1264	C₂×D₄	C₂×#41	1	4	yes	—
1265	C₂×D₄	C₂×#41	1	4	yes	—
1266	C₂×D₄	C₂×#41	1	4	yes	—
1267	C₂×D₄	C₂×#41	1	4	yes	—
1268	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1269	C₂²×C₄	—	2	2	no	—
1270	C₂²×C₄	—	2	2	no	—
1271	C₂²×C₄	—	2	4	no	—
1272	C₂²×C₄	—	2	2	no	—
1273	C₂²×C₄	—	2	8	no	—
1274	C₂²×C₄	—	2	2	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	8	no	—
1277	C₂²×C₄	—	2	8	no	—
1278	C₂²×C₄	—	2	4	no	—
1279	C₂²×C₄	—	2	4	no	—
1280	C₂²×C₄	—	2	2	no	—
1281	C₂²×C₄	—	2	4	no	—
1282	C₂²×C₄	—	2	4	no	—
1283	C₂²×C₄	—	2	4	no	—
1284	C₂²×C₄	—	2	2	no	—
1285	C₂²×C₄	—	2	2	no	—
1286	C₂²×C₄	—	2	2	no	—
1287	C₂²×C₄	—	2	2	no	—
1288	C₂²×C₄	—	2	2	no	—
1289	C₂²×C₄	—	2	4	no	—
1290	C₂²×C₄	—	2	4	no	—
1291	C₂²×C₄	—	2	4	no	—
1292	C₂²×C₄	—	2	2	no	—
1293	C₂²×C₄	—	2	2	no	—
1294	C₂²×C₄	—	4	2	no	—
1295	C₂²×C₄	—	4	2	no	—
1296	C₂²×C₄	—	4	2	no	—
1297	C₂²×C₄	—	4	2	no	—
1298	C₂²×C₄	—	4	2	no	—
1299	C₂²×C₄	—	4	2	no	—
1300	C₂²×C₄	—	4	2	no	—
1301	C₂²×C₄	—	4	2	no	—
1302	C₂²×C₄	—	4	4	no	—
1303	C₂²×C₄	—	4	2	no	—
1304	C₂²×C₄	—	4	4	no	—
1305	C₂²×C₄	—	4	4	no	—
1306	C₂²×C₄	—	4	4	no	—
1307	C₂²×C₄	—	4	2	no	—
1308	C₂²×C₄	—	4	4	no	—
1309	C₂²×C₄	—	4	4	no	—
1310	C₂²×C₄	—	4	4	no	—
1311	C₂²×C₄	—	4	2	no	—
1312	C₂²×C₄	—	4	4	no	—
1313	C₂²×C₄	—	4	2	no	—
1314	C₂²×C₄	—	4	2	no	—
1315	C₂²×C₄	—	4	2	no	—
1316	C₂²×C₄	—	4	4	no	—
1317	C₂²×C₄	—	4	4	no	—
1318	C₂²×C₄	—	4	4	no	—
1319	C₂²×C₄	—	4	4	no	—
1320	C₂²×C₄	—	4	4	no	—
1321	C₂²×C₄	—	4	4	no	—
1322	C₂²×C₄	—	4	4	no	—
1323	C₂²×C₄	—	4	4	no	—
1324	C₂²×C₄	—	4	4	no	—
1325	C₂²×C₄	—	4	16	no	—
1326	C₂²×C₄	—	8	8	no	—
1327	C₂²×C₄	C₂×#41	1	4	yes	—
1328	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1329	C₂²×C₄	C₂⁵	1	2	yes	—
1330	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁵	1	4	yes	—
1333	C₂²×C₄	C₂⁵	1	4	yes	—
1334	C₂²×C₄	C₂⁵	1	4	yes	—
1335	C₂²×C₄	C₂⁵	1	4	yes	—
1336	C₂²×C₄	C₂⁵	1	2	yes	—
1337	C₂²×C₄	C₂⁵	1	2	yes	—
1338	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁵	1	2	yes	—
1340	C₂²×C₄	C₂⁵	1	2	yes	—
1341	C₂²×C₄	C₂⁵	1	2	yes	—
1342	C₂²×C₄	C₂⁵	1	4	yes	—
1343	C₂²×C₄	C₂⁵	1	4	yes	—
1344	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1345	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1346	C₂²×C₄	C₂⁵	1	2	yes	—
1347	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1348	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1352	C₄⋊C₄	—	2	4	no	—
1353	C₄⋊C₄	—	2	4	no	—
1354	C₄⋊C₄	—	2	4	no	—
1355	C₄⋊C₄	—	2	4	no	—
1356	C₄⋊C₄	—	2	4	no	—
1357	C₄⋊C₄	—	2	4	no	—
1358	C₄⋊C₄	—	2	8	no	—
1359	C₄⋊C₄	—	2	4	no	—
1360	C₄⋊C₄	—	4	1	no	—
1361	C₄⋊C₄	—	4	1	no	—
1362	C₄⋊C₄	—	4	1	no	—
1363	C₄⋊C₄	—	4	1	no	—
1364	C₄⋊C₄	—	4	4	no	—
1365	C₄⋊C₄	—	4	2	no	—
1366	C₄⋊C₄	—	4	4	no	—
1367	C₄⋊C₄	—	4	4	no	—
1368	C₄⋊C₄	—	4	2	no	—
1369	C₄⋊C₄	—	4	1	no	—
1370	C₄⋊C₄	—	4	1	no	—
1371	C₄⋊C₄	—	4	2	no	—
1372	C₄⋊C₄	—	4	4	no	—
1373	C₄⋊C₄	—	4	4	no	—
1374	C₄⋊C₄	—	4	2	no	—
1375	C₄⋊C₄	—	4	4	no	—
1376	C₄⋊C₄	—	4	2	no	—
1377	C₄⋊C₄	—	4	2	no	—
1378	C₄⋊C₄	—	4	4	no	—
1379	C₄⋊C₄	—	4	2	no	—
1380	C₄⋊C₄	—	4	4	no	—
1381	C₄⋊C₄	—	4	4	no	—
1382	C₄⋊C₄	—	4	4	no	—
1383	C₄⋊C₄	—	4	4	no	—
1384	C₄⋊C₄	—	4	4	no	—
1385	C₄⋊C₄	—	4	4	no	—
1386	C₄⋊C₄	—	4	4	no	—
1387	C₄⋊C₄	—	4	4	no	—
1388	C₂²⋊C₄	—	2	4	no	—
1389	C₂²⋊C₄	—	2	4	no	—
1390	C₂²⋊C₄	—	2	8	no	—
1391	C₂²⋊C₄	—	2	4	no	—
1392	C₂²⋊C₄	—	2	4	no	—
1393	C₂²⋊C₄	—	2	4	no	—
1394	C₂²⋊C₄	—	2	4	no	—
1395	C₂²⋊C₄	—	2	4	no	—
1396	C₂²⋊C₄	—	2	4	no	—
1397	C₂²⋊C₄	—	2	8	no	—
1398	C₂²⋊C₄	—	2	8	no	—
1399	C₂²⋊C₄	—	2	8	no	—
1400	C₂²⋊C₄	—	2	8	no	—
1401	C₂²⋊C₄	—	2	8	no	—
1402	C₂²⋊C₄	—	2	8	no	—
1403	C₂²⋊C₄	—	2	8	no	—
1404	C₂²⋊C₄	—	2	4	no	—
1405	C₂²⋊C₄	—	2	8	no	—
1406	C₂²⋊C₄	—	2	8	no	—
1407	C₂²⋊C₄	—	2	8	no	—
1408	C₂²⋊C₄	—	2	8	no	—
1409	C₂²⋊C₄	—	2	8	no	—
1410	C₂²⋊C₄	—	2	4	no	—
1411	C₂²⋊C₄	—	4	2	no	—
1412	C₂²⋊C₄	—	4	2	no	—
1413	C₂²⋊C₄	—	4	4	no	—
1414	C₂²⋊C₄	—	4	4	no	—
1415	C₂²⋊C₄	—	4	2	no	—
1416	C₂²⋊C₄	—	4	2	no	—
1417	C₂²⋊C₄	—	4	1	no	—
1418	C₂²⋊C₄	—	4	1	no	—
1419	C₂²⋊C₄	—	4	1	no	—
1420	C₂²⋊C₄	—	4	1	no	—
1421	C₂²⋊C₄	—	4	1	no	—
1422	C₂²⋊C₄	—	4	1	no	—
1423	C₂²⋊C₄	—	4	1	no	—
1424	C₂²⋊C₄	—	4	1	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	2	no	—
1435	C₂²⋊C₄	—	4	2	no	—
1436	C₂²⋊C₄	—	4	4	no	—
1437	C₂²⋊C₄	—	4	4	no	—
1438	C₂²⋊C₄	—	4	4	no	—
1439	C₂²⋊C₄	—	4	4	no	—
1440	C₂²⋊C₄	—	4	4	no	—
1441	C₂²⋊C₄	—	4	4	no	—
1442	C₂²⋊C₄	—	4	4	no	—
1443	C₂²⋊C₄	—	4	4	no	—
1444	C₂²⋊C₄	—	4	4	no	—
1445	C₂²⋊C₄	—	4	4	no	—
1446	C₂²⋊C₄	—	4	2	no	—
1447	C₂²⋊C₄	—	4	4	no	—
1448	C₂²⋊C₄	—	4	4	no	—
1449	C₂²⋊C₄	—	4	2	no	—
1450	C₂²⋊C₄	—	4	2	no	—
1451	C₂²⋊C₄	—	4	4	no	—
1452	C₂²⋊C₄	—	4	4	no	—
1453	C₂²⋊C₄	—	4	2	no	—
1454	C₂²⋊C₄	—	4	2	no	—
1455	C₂²⋊C₄	—	4	2	no	—
1456	C₂²⋊C₄	—	4	2	no	—
1457	C₂²⋊C₄	—	4	2	no	—
1458	C₂²⋊C₄	—	4	2	no	—
1459	C₂²⋊C₄	—	4	4	no	—
1460	C₂²⋊C₄	—	4	4	no	—
1461	C₂²⋊C₄	—	4	4	no	—
1462	C₂²⋊C₄	—	4	4	no	—
1463	C₂²⋊C₄	—	4	4	no	—
1464	C₂²⋊C₄	—	4	4	no	—
1465	C₂²⋊C₄	—	4	4	no	—
1466	C₂²⋊C₄	—	4	4	no	—
1467	C₂²⋊C₄	—	4	4	no	—
1468	C₂²⋊C₄	—	4	4	no	—
1469	C₄²	—	2	2	no	—
1470	C₄²	—	2	2	no	—
1471	C₄²	—	2	2	no	—
1472	C₄²	—	2	2	no	—
1473	C₄²	—	2	2	no	—
1474	C₄²	—	2	2	no	—
1475	C₄²	—	2	4	no	—
1476	C₄²	—	2	4	no	—
1477	C₄²	—	2	4	no	—
1478	C₄²	—	4	2	no	—
1479	C₄²	—	4	2	no	—
1480	C₄²	—	4	1	no	—
1481	C₄²	—	4	1	no	—
1482	C₄²	—	4	4	no	—
1483	C₄²	—	4	2	no	—
1484	C₄²	—	4	4	no	—
1485	C₄²	—	4	4	no	—
1486	C₄²	—	4	4	no	—
1487	C₄²	—	4	2	no	—
1488	C₂³	—	2	2	no	—
1489	C₂³	—	2	2	no	—
1490	C₂³	—	2	4	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	2	no	—
1493	C₂³	—	2	2	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	2	no	—
1498	C₂³	—	2	2	no	—
1499	C₂³	—	2	4	no	—
1500	C₂³	—	2	4	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	4	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	4	no	—
1507	C₂³	—	2	2	no	—
1508	C₂³	—	2	2	no	—
1509	C₂³	—	2	4	no	—
1510	C₂³	—	2	2	no	—
1511	C₂³	—	2	2	no	—
1512	C₂³	—	2	8	no	—
1513	C₂³	—	2	8	no	—
1514	C₂³	—	2	4	no	—
1515	C₂³	—	2	2	no	—
1516	C₂³	—	2	2	no	—
1517	C₂³	—	2	2	no	—
1518	C₂³	—	2	2	no	—
1519	C₂³	—	2	4	no	—
1520	C₂³	—	2	4	no	—
1521	C₂³	—	2	4	no	—
1522	C₂³	—	2	4	no	—
1523	C₂³	—	2	2	no	—
1524	C₂³	—	2	4	no	—
1525	C₂³	—	2	2	no	—
1526	C₂³	—	2	2	no	—
1527	C₂³	—	2	4	no	—
1528	C₂³	—	4	8	no	—
1529	C₂³	—	4	8	no	—
1530	C₂³	—	4	16	no	—
1531	C₂³	—	4	8	no	—
1532	C₂³	—	4	16	no	—
1533	C₂³	—	4	16	no	—
1534	C₂³	—	4	16	no	—
1535	C₂³	—	4	16	no	—
1536	C₂³	—	4	4	no	—
1537	C₂³	—	4	4	no	—
1538	C₂³	—	4	8	no	—
1539	C₂³	—	4	16	no	—
1540	C₂³	—	4	8	no	—
1541	C₂³	—	4	16	no	—
1542	C₂³	—	8	2	no	—
1543	C₂³	—	8	2	no	—
1544	C₂³	—	8	4	no	—
1545	C₂³	—	8	8	no	—
1546	C₂³	—	8	8	no	—
1547	C₂³	—	8	8	no	—
1548	C₂³	—	8	8	no	—
1549	C₂³	—	8	8	no	—
1550	C₂³	—	8	4	no	—
1551	C₂³	—	8	8	no	—
1552	C₂³	—	8	4	no	—
1553	C₂³	—	8	8	no	—
1554	C₂³	—	8	8	no	—
1555	C₂³	—	8	4	no	—
1556	C₂³	—	8	8	no	—
1557	C₂³	—	8	4	no	—
1558	C₂³	—	8	8	no	—
1559	C₂³	—	8	8	no	—
1560	C₂³	—	8	128	no	—
1561	C₂³	C₂²×#41	1	2	yes	—
1562	C₂³	C₂²×#41	1	2	yes	—
1563	C₂³	C₂²×#41	1	2	yes	—
1564	C₂³	C₂²×#41	1	2	yes	—
1565	C₂³	C₂²×#41	1	2	yes	—
1566	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1567	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1568	C₂³	#585	1	2	yes	—
1569	C₂³	C₂⁶	1	1	yes	characteristic
1570	Q₈	—	4	4	no	—
1571	Q₈	—	4	8	no	—
1572	Q₈	—	8	4	no	—
1573	D₄	—	2	16	no	—
1574	D₄	—	4	4	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	4	no	—
1577	D₄	—	4	4	no	—
1578	D₄	—	4	16	no	—
1579	D₄	—	4	4	no	—
1580	D₄	—	4	8	no	—
1581	D₄	—	4	16	no	—
1582	D₄	—	4	16	no	—
1583	D₄	—	4	16	no	—
1584	D₄	—	4	8	no	—
1585	D₄	—	4	8	no	—
1586	D₄	—	4	8	no	—
1587	D₄	—	8	4	no	—
1588	D₄	—	8	4	no	—
1589	D₄	—	8	4	no	—
1590	D₄	—	8	4	no	—
1591	D₄	—	8	8	no	—
1592	D₄	—	8	8	no	—
1593	D₄	—	8	8	no	—
1594	D₄	—	8	8	no	—
1595	D₄	—	16	4	no	—
1596	D₄	—	16	4	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	2	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	8	no	—
1603	C₂×C₄	—	2	8	no	—
1604	C₂×C₄	—	2	2	no	—
1605	C₂×C₄	—	2	2	no	—
1606	C₂×C₄	—	2	4	no	—
1607	C₂×C₄	—	2	4	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	2	no	—
1612	C₂×C₄	—	2	2	no	—
1613	C₂×C₄	—	2	2	no	—
1614	C₂×C₄	—	2	2	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	4	no	—
1620	C₂×C₄	—	2	4	no	—
1621	C₂×C₄	—	2	4	no	—
1622	C₂×C₄	—	2	4	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	2	no	—
1625	C₂×C₄	—	2	4	no	—
1626	C₂×C₄	—	2	4	no	—
1627	C₂×C₄	—	2	4	no	—
1628	C₂×C₄	—	2	4	no	—
1629	C₂×C₄	—	2	2	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	2	no	—
1636	C₂×C₄	—	2	2	no	—
1637	C₂×C₄	—	2	2	no	—
1638	C₂×C₄	—	2	4	no	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	2	no	—
1641	C₂×C₄	—	2	2	no	—
1642	C₂×C₄	—	2	2	no	—
1643	C₂×C₄	—	2	2	no	—
1644	C₂×C₄	—	2	2	no	—
1645	C₂×C₄	—	2	2	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	4	no	—
1649	C₂×C₄	—	2	4	no	—
1650	C₂×C₄	—	2	4	no	—
1651	C₂×C₄	—	2	2	no	—
1652	C₂×C₄	—	2	2	no	—
1653	C₂×C₄	—	2	4	no	—
1654	C₂×C₄	—	2	4	no	—
1655	C₂×C₄	—	4	4	no	—
1656	C₂×C₄	—	4	4	no	—
1657	C₂×C₄	—	4	8	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	4	4	no	—
1660	C₂×C₄	—	4	4	no	—
1661	C₂×C₄	—	4	4	no	—
1662	C₂×C₄	—	4	4	no	—
1663	C₂×C₄	—	4	8	no	—
1664	C₂×C₄	—	8	2	no	—
1665	C₂×C₄	—	8	2	no	—
1666	C₂×C₄	—	8	2	no	—
1667	C₂×C₄	—	8	8	no	—
1668	C₂×C₄	—	8	2	no	—
1669	C₂×C₄	—	8	8	no	—
1670	C₂×C₄	—	8	8	no	—
1671	C₂×C₄	—	8	4	no	—
1672	C₂×C₄	—	8	4	no	—
1673	C₂×C₄	—	8	4	no	—
1674	C₂×C₄	—	16	4	no	—
1675	C₂×C₄	—	16	4	no	—
1676	C₂×C₄	—	16	4	no	—
1677	C₂×C₄	C₂²×#41	1	2	yes	—
1678	C₂×C₄	C₂²×#41	1	2	yes	—
1679	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1680	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1681	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1682	C₂²	—	2	4	no	—
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	4	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	4	no	—
1687	C₂²	—	2	4	no	—
1688	C₂²	—	2	8	no	—
1689	C₂²	—	2	4	no	—
1690	C₂²	—	2	4	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	2	2	no	—
1695	C₂²	—	2	8	no	—
1696	C₂²	—	2	8	no	—
1697	C₂²	—	4	16	no	—
1698	C₂²	—	4	4	no	—
1699	C₂²	—	4	4	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	4	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	2	no	—
1706	C₂²	—	4	4	no	—
1707	C₂²	—	4	2	no	—
1708	C₂²	—	4	2	no	—
1709	C₂²	—	4	2	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	2	no	—
1715	C₂²	—	4	2	no	—
1716	C₂²	—	4	4	no	—
1717	C₂²	—	4	4	no	—
1718	C₂²	—	4	2	no	—
1719	C₂²	—	4	4	no	—
1720	C₂²	—	4	2	no	—
1721	C₂²	—	4	4	no	—
1722	C₂²	—	4	2	no	—
1723	C₂²	—	4	2	no	—
1724	C₂²	—	4	4	no	—
1725	C₂²	—	4	4	no	—
1726	C₂²	—	4	2	no	—
1727	C₂²	—	4	4	no	—
1728	C₂²	—	8	8	no	—
1729	C₂²	—	8	32	no	—
1730	C₂²	—	8	16	no	—
1731	C₂²	—	8	32	no	—
1732	C₂²	—	8	16	no	—
1733	C₂²	#3505	1	4	yes	—
1734	C₂²	C₂³×#41	1	1	yes	characteristic
1735	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1736	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1737	C₂²	C₂×#585	1	1	yes	characteristic
1738	C₂²	H(7,𝔽₂)	1	2	yes	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	2	no	—
1741	C₄	—	2	2	no	—
1742	C₄	—	4	4	no	—
1743	C₄	—	4	4	no	—
1744	C₄	—	4	2	no	—
1745	C₄	—	4	2	no	—
1746	C₄	—	4	2	no	—
1747	C₄	—	4	1	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	2	no	—
1750	C₄	—	4	4	no	—
1751	C₄	—	4	2	no	—
1752	C₄	—	4	4	no	—
1753	C₄	—	4	2	no	—
1754	C₄	—	4	4	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	2	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	4	no	—
1761	C₄	#3532	1	4	yes	—
1762	C₂	—	2	4	no	—
1763	C₂	—	4	2	no	—
1764	C₂	—	4	2	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	4	2	no	—
1767	C₂	—	4	8	no	—
1768	C₂	—	8	2	no	—
1769	C₂	—	8	4	no	—
1770	C₂	C₂×#3532	1	1	yes	characteristic
1771	C₂	C₂×#3505	1	1	yes	characteristic
1772	C₂	#62874	1	1	yes	characteristic
1773	C₂	#62918	1	2	yes	—
1774	C₂	#62983	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. #59945	C₂	semidirect
2. #59818	C₂	semidirect
3. #59812	C₂	semidirect
4. #59013	C₂	semidirect
5. #58996	C₂	semidirect
6. #51966	C₂	semidirect
7. #51865	C₂	semidirect
8. #51860	C₂	semidirect
9. #47184	C₂	semidirect
10. #46971	C₂	semidirect
11. #46965	C₂	semidirect
12. #46338	C₂	semidirect
13. #46073	C₂	semidirect
14. #45701	C₂	semidirect
15. #43173	C₂	semidirect
16. #42011	C₂	semidirect
17. #42009	C₂	semidirect
18. #40056	C₂	semidirect
19. #40044	C₂	semidirect
20. #39960	C₂	semidirect
21. #39948	C₂	semidirect
22. #39477	C₂	semidirect
23. #37848	C₂	semidirect
24. #36702	C₂	semidirect
25. #36360	C₂	semidirect
26. #36293	C₂	semidirect
27. #36152	C₂	semidirect
28. #35010	C₂	semidirect
29. C₂×#2408	C₂	semidirect
30. #34356	C₂	semidirect
31. C₄×#535	C₂	semidirect
33. C₂×#553	C₂²	semidirect
34. C₂×#548	C₂²	semidirect
36. C₂×#546	C₂²	semidirect
37. C₂×#546	C₂²	semidirect
39. C₂²×C₂²⋊Q₈	C₂²	semidirect
42. C₂×C₄×#41	C₂²	semidirect
44. #2861	C₂²	semidirect
45. #2860	C₂²	semidirect
46. #2855	C₂²	semidirect
47. #2854	C₂²	semidirect
48. #2850	C₂²	semidirect
51. #2837	C₂²	semidirect
52. #2832	C₂²	semidirect
53. #2828	C₂²	semidirect
54. #2795	C₂²	semidirect
55. #2787	C₂²	semidirect
56. #2785	C₂²	semidirect
57. #2782	C₂²	semidirect
58. #2781	C₂²	semidirect
59. #2781	C₂²	semidirect
60. #2779	C₂²	semidirect
61. #2778	C₂²	semidirect
62. #2778	C₂²	semidirect
63. #2778	C₂²	semidirect
64. #2770	C₂²	semidirect
65. #2756	C₂²	semidirect
66. #2756	C₂²	semidirect
67. #2753	C₂²	semidirect
68. #2736	C₂²	semidirect
69. #2735	C₂²	semidirect
70. #2735	C₂²	semidirect
71. #2735	C₂²	semidirect
72. #2718	C₂²	semidirect
73. #2714	C₂²	semidirect
74. #2708	C₂²	semidirect
75. #2703	C₂²	semidirect
76. #2703	C₂²	semidirect
77. #2703	C₂²	semidirect
78. #2697	C₂²	semidirect
79. #2691	C₂²	semidirect
80. #2688	C₂²	semidirect
81. #2686	C₂²	semidirect
82. #2685	C₂²	semidirect
83. #2685	C₂²	semidirect
84. #2684	C₂²	semidirect
85. #2684	C₂²	semidirect
86. #2684	C₂²	semidirect
87. #2684	C₂²	semidirect
88. #2681	C₂²	semidirect
89. #2680	C₂²	semidirect
90. #2676	C₂²	semidirect
91. #2669	C₂²	semidirect
92. #2669	C₂²	semidirect
93. #2669	C₂²	semidirect
94. #2668	C₂²	semidirect
95. #2668	C₂²	semidirect
96. #2668	C₂²	semidirect
97. #2668	C₂²	semidirect
98. #2663	C₂²	semidirect
99. #2661	C₂²	semidirect
100. #2653	C₂²	semidirect
101. #2649	C₂²	semidirect
102. #2627	C₂²	semidirect
105. #2602	C₂²	semidirect
106. #2598	C₂²	semidirect
107. #2597	C₂²	semidirect
108. #2592	C₂²	semidirect
109. #2580	C₂²	semidirect
110. #2579	C₂²	semidirect
111. #2579	C₂²	semidirect
112. #2572	C₂²	semidirect
113. #2564	C₂²	semidirect
114. #2564	C₂²	semidirect
115. #2562	C₂²	semidirect
116. #2561	C₂²	semidirect
117. #2555	C₂²	semidirect
118. #2553	C₂²	semidirect
119. #2543	C₂²	semidirect
120. #2540	C₂²	semidirect
121. #2536	C₂²	semidirect
122. #2535	C₂²	semidirect
123. #2535	C₂²	semidirect
124. #2534	C₂²	semidirect
125. #2531	C₂²	semidirect
126. #2526	C₂²	semidirect
127. #2513	C₂²	semidirect
128. #2510	C₂²	semidirect
129. #2505	C₂²	semidirect
130. #2504	C₂²	semidirect
131. #2495	C₂²	semidirect
132. #2494	C₂²	semidirect
133. #2490	C₂²	semidirect
134. #2489	C₂²	semidirect
135. #2487	C₂²	semidirect
136. #2487	C₂²	semidirect
137. #2485	C₂²	semidirect
138. #2482	C₂²	semidirect
139. #2482	C₂²	semidirect
140. #2480	C₂²	semidirect
141. #2480	C₂²	semidirect
142. #2480	C₂²	semidirect
143. #2480	C₂²	semidirect
144. #2479	C₂²	semidirect
145. #2476	C₂²	semidirect
146. #2472	C₂²	semidirect
147. #2472	C₂²	semidirect
148. #2471	C₂²	semidirect
149. #2467	C₂²	semidirect
150. #2464	C₂²	semidirect
151. #2458	C₂²	semidirect
152. #2457	C₂²	semidirect
153. #2456	C₂²	semidirect
154. #2456	C₂²	semidirect
155. #2454	C₂²	semidirect
156. #2448	C₂²	semidirect
157. #2447	C₂²	semidirect
158. #2444	C₂²	semidirect
159. #2443	C₂²	semidirect
160. #2442	C₂²	semidirect
161. #2437	C₂²	semidirect
162. #2436	C₂²	semidirect
164. #2435	C₂²	semidirect
165. #2435	C₂²	semidirect
166. #2427	C₂²	semidirect
167. #2426	C₂²	semidirect
168. #2421	C₂²	semidirect
169. #2420	C₂²	semidirect
170. #2418	C₂²	semidirect
171. #2418	C₂²	semidirect
172. #2417	C₂²	semidirect
173. #2417	C₂²	semidirect
174. #2417	C₂²	semidirect
175. #2416	C₂²	semidirect
176. #2416	C₂²	semidirect
177. #2416	C₂²	semidirect
178. #2415	C₂²	semidirect
179. #2414	C₂²	semidirect
180. #2414	C₂²	semidirect
181. #2414	C₂²	semidirect
182. #2412	C₂²	semidirect
183. #2411	C₂²	semidirect
185. #2410	C₂²	semidirect
186. #2410	C₂²	semidirect
187. #2410	C₂²	semidirect
188. #2410	C₂²	semidirect
189. #2409	C₂²	semidirect
190. #2409	C₂²	semidirect
202. #2408	C₂²	semidirect
203. #2408	C₂²	semidirect
204. #2407	C₂²	semidirect
205. #2407	C₂²	semidirect
207. #2405	C₂²	semidirect
208. #2405	C₂²	semidirect
209. #2404	C₂²	semidirect
212. #2375	C₂²	semidirect
213. #2375	C₂²	semidirect
214. #2375	C₂²	semidirect
215. #2361	C₂²	semidirect
216. #2361	C₂²	semidirect
217. #2360	C₂²	semidirect
218. #2358	C₂²	semidirect
219. #2358	C₂²	semidirect
220. #2358	C₂²	semidirect
221. #2358	C₂²	semidirect
222. #2352	C₂²	semidirect
223. #2342	C₂²	semidirect
224. #2342	C₂²	semidirect
225. #2342	C₂²	semidirect
227. D₄×C₂²⋊C₄	C₂²	semidirect
228. D₄×C₂²⋊C₄	C₂²	semidirect
229. D₄×C₂²⋊C₄	C₂²	semidirect
230. D₄×C₂²⋊C₄	C₂²	semidirect
231. #2328	C₂²	semidirect
232. #2328	C₂²	semidirect
233. #2326	C₂²	semidirect
234. #2326	C₂²	semidirect
235. #2324	C₂²	semidirect
236. #2324	C₂²	semidirect
238. #2321	C₂²	semidirect
239. #2321	C₂²	semidirect
240. #2321	C₂²	semidirect
241. #2321	C₂²	semidirect
242. #2321	C₂²	semidirect
243. #2317	C₂²	semidirect
244. #2315	C₂²	semidirect
246. #2311	C₂²	semidirect
249. C₄×#127	C₂²	semidirect
250. C₄×#127	C₂²	semidirect
251. C₄×#124	C₂²	semidirect
252. C₄×#124	C₂²	semidirect
253. C₄×#124	C₂²	semidirect
254. C₄×#121	C₂²	semidirect
255. C₄×#121	C₂²	semidirect
256. C₄×#121	C₂²	semidirect
258. C₄×#120	C₂²	semidirect
259. #2297	C₂²	semidirect
260. #2293	C₂²	semidirect
263. C₂×#380	C₂²	semidirect
266. C₄×#117	C₂²	semidirect
270. C₂³×Q₈	C₂³	semidirect
292. C₂×#126	C₂³	semidirect
293. C₂×#126	C₂³	semidirect
294. C₂×#125	C₂³	semidirect
300. C₂×#124	C₂³	semidirect
304. C₂×#123	C₂³	semidirect
305. C₂×#123	C₂³	semidirect
311. C₂×C₂²⋊Q₈	C₂³	semidirect
312. C₂×C₂²⋊Q₈	C₂³	semidirect
313. C₂×C₂²⋊Q₈	C₂³	semidirect
314. C₂×C₂²⋊Q₈	C₂³	semidirect
330. C₂×#121	C₂³	semidirect
331. C₂×#121	C₂³	semidirect
332. C₂×#121	C₂³	semidirect
333. C₂×#121	C₂³	semidirect
350. C₂×C₄×Q₈	C₂³	semidirect
351. C₂×C₄×Q₈	C₂³	semidirect
352. C₂×C₄×Q₈	C₂³	semidirect
369. C₂×C₄×D₄	C₂³	semidirect
370. C₂×C₄×D₄	C₂³	semidirect
371. C₂×C₄×D₄	C₂³	semidirect
372. C₂×C₄×D₄	C₂³	semidirect
373. C₂×C₄×D₄	C₂³	semidirect
374. C₂×C₄×D₄	C₂³	semidirect
375. C₂×C₄×D₄	C₂³	semidirect
376. C₂×C₄×D₄	C₂³	semidirect
377. C₂×C₄×D₄	C₂³	semidirect
381. C₂×#117	C₂³	semidirect
382. C₂×#117	C₂³	semidirect
383. C₂×#117	C₂³	semidirect
386. C₂²×C₄⋊C₄	C₂³	semidirect
387. C₂²×C₄⋊C₄	C₂³	semidirect
388. C₂²×C₄⋊C₄	C₂³	semidirect
404. C₂²×C₄²	C₂³	semidirect
405. #401	C₂³	semidirect
406. #400	C₂³	semidirect
407. #400	C₂³	semidirect
408. #400	C₂³	semidirect
409. #400	C₂³	semidirect
410. #400	C₂³	semidirect
411. #400	C₂³	semidirect
412. #400	C₂³	semidirect
415. #399	C₂³	semidirect
416. #399	C₂³	semidirect
417. #399	C₂³	semidirect
418. #399	C₂³	semidirect
419. #398	C₂³	semidirect
420. #398	C₂³	semidirect
421. #398	C₂³	semidirect
422. #398	C₂³	semidirect
423. #398	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
444. #396	C₂³	semidirect
445. #396	C₂³	semidirect
446. #396	C₂³	semidirect
447. #396	C₂³	semidirect
448. #396	C₂³	semidirect
449. #395	C₂³	semidirect
450. #395	C₂³	semidirect
470. #394	C₂³	semidirect
471. #394	C₂³	semidirect
472. #394	C₂³	semidirect
473. #394	C₂³	semidirect
474. #394	C₂³	semidirect
475. #394	C₂³	semidirect
476. #394	C₂³	semidirect
477. #394	C₂³	semidirect
478. #394	C₂³	semidirect
479. #394	C₂³	semidirect
482. #393	C₂³	semidirect
483. #393	C₂³	semidirect
484. #393	C₂³	semidirect
485. #393	C₂³	semidirect
495. #392	C₂³	semidirect
496. #392	C₂³	semidirect
497. #392	C₂³	semidirect
498. #392	C₂³	semidirect
499. #392	C₂³	semidirect
500. #392	C₂³	semidirect
501. #391	C₂³	semidirect
502. #391	C₂³	semidirect
503. #391	C₂³	semidirect
504. #391	C₂³	semidirect
505. #391	C₂³	semidirect
506. #391	C₂³	semidirect
527. #390	C₂³	semidirect
528. #390	C₂³	semidirect
529. #390	C₂³	semidirect
530. #390	C₂³	semidirect
531. #390	C₂³	semidirect
532. #390	C₂³	semidirect
533. #390	C₂³	semidirect
534. #390	C₂³	semidirect
535. #390	C₂³	semidirect
536. #390	C₂³	semidirect
537. #389	C₂³	semidirect
538. #389	C₂³	semidirect
539. #389	C₂³	semidirect
540. #389	C₂³	semidirect
541. #389	C₂³	semidirect
542. #389	C₂³	semidirect
543. #389	C₂³	semidirect
544. #389	C₂³	semidirect
545. #389	C₂³	semidirect
546. #389	C₂³	semidirect
559. #388	C₂³	semidirect
560. #388	C₂³	semidirect
561. #388	C₂³	semidirect
562. #388	C₂³	semidirect
563. #388	C₂³	semidirect
564. #388	C₂³	semidirect
565. #388	C₂³	semidirect
566. #388	C₂³	semidirect
567. #388	C₂³	semidirect
568. #388	C₂³	semidirect
569. #388	C₂³	semidirect
570. #388	C₂³	semidirect
571. #388	C₂³	semidirect
572. #388	C₂³	semidirect
573. #388	C₂³	semidirect
574. #388	C₂³	semidirect
575. #388	C₂³	semidirect
576. #388	C₂³	semidirect
577. #388	C₂³	semidirect
578. #388	C₂³	semidirect
579. #388	C₂³	semidirect
580. #388	C₂³	semidirect
581. #388	C₂³	semidirect
582. #388	C₂³	semidirect
583. #388	C₂³	semidirect
584. #388	C₂³	semidirect
585. #388	C₂³	semidirect
586. #388	C₂³	semidirect
587. #388	C₂³	semidirect
588. #388	C₂³	semidirect
589. #388	C₂³	semidirect
590. #388	C₂³	semidirect
591. #388	C₂³	semidirect
592. #388	C₂³	semidirect
593. #388	C₂³	semidirect
594. #387	C₂³	semidirect
595. #387	C₂³	semidirect
596. #387	C₂³	semidirect
597. #387	C₂³	semidirect
598. #387	C₂³	semidirect
599. #387	C₂³	semidirect
600. #387	C₂³	semidirect
621. #386	C₂³	semidirect
622. #386	C₂³	semidirect
623. #386	C₂³	semidirect
624. #386	C₂³	semidirect
625. #386	C₂³	semidirect
626. #386	C₂³	semidirect
627. #386	C₂³	semidirect
628. #386	C₂³	semidirect
629. #386	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
655. #385	C₂³	semidirect
656. #385	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. #385	C₂³	semidirect
664. #385	C₂³	semidirect
665. #385	C₂³	semidirect
666. #385	C₂³	semidirect
667. #385	C₂³	semidirect
668. #385	C₂³	semidirect
669. #384	C₂³	semidirect
670. #384	C₂³	semidirect
671. #383	C₂³	semidirect
672. #382	C₂³	semidirect
673. #382	C₂³	semidirect
674. #382	C₂³	semidirect
675. #382	C₂³	semidirect
676. #382	C₂³	semidirect
678. #381	C₂³	semidirect
679. #381	C₂³	semidirect
691. #380	C₂³	semidirect
692. #380	C₂³	semidirect
693. #380	C₂³	semidirect
694. #380	C₂³	semidirect
695. #380	C₂³	semidirect
696. #380	C₂³	semidirect
697. #380	C₂³	semidirect
698. #380	C₂³	semidirect
699. #380	C₂³	semidirect
700. #380	C₂³	semidirect
701. #380	C₂³	semidirect
723. C₄×C₄⋊C₄	C₂³	semidirect
724. C₄×C₄⋊C₄	C₂³	semidirect
725. C₄×C₄⋊C₄	C₂³	semidirect
726. C₄×C₄⋊C₄	C₂³	semidirect
733. C₄×C₂²⋊C₄	C₂³	semidirect
734. C₄×C₂²⋊C₄	C₂³	semidirect
735. C₄×C₂²⋊C₄	C₂³	semidirect
736. C₄×C₂²⋊C₄	C₂³	semidirect
737. C₄×C₂²⋊C₄	C₂³	semidirect
738. C₄×C₂²⋊C₄	C₂³	semidirect
739. C₄×C₂²⋊C₄	C₂³	semidirect
740. C₄×C₂²⋊C₄	C₂³	semidirect
741. #376	C₂³	semidirect
742. #376	C₂³	semidirect
744. C₂×#95	C₂³	semidirect
745. C₄³	C₂³	semidirect
746. C₄³	C₂³	semidirect
791. C₂²×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#59945	2
#59818	2
#59812	2
#59013	2
#58996	2
#51966	2
#51865	2
#51860	2
#47184	2
#46971	2
#46965	2
#46338	2
#46073	2
#45701	2
#43173	2
#42011	2
#42009	2
#40056	2
#40044	2
#39960	2
#39948	2
#39477	2
#37848	2
#36702	2
#36360	2
#36293	2
#36152	2
#35010	2
C₂×#2408	2
#34356	2
C₄×#535	2