Subgroups — #7653852

Order 512.

8910 conjugacy classes of subgroups.

The subgroup lattice has 1661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#42387	C₂	1	4	yes	maximal, complemented
4	#40502	C₂	1	4	yes	maximal, complemented
5	#40492	C₂	1	4	yes	maximal, complemented
6	#39357	C₂	1	2	yes	maximal, complemented
7	#39116	C₂	1	4	yes	maximal, complemented
8	#38947	C₂	1	2	yes	maximal, complemented
9	#38094	C₂	1	2	yes	maximal, complemented
10	#38082	C₂	1	2	yes	maximal, complemented
11	#37840	C₂	1	4	yes	maximal, complemented
12	#37832	C₂	1	4	yes	maximal, complemented
13	#37682	C₂	1	2	yes	maximal, complemented
14	#37676	C₂	1	2	yes	maximal, complemented
15	#37537	C₂	1	1	yes	maximal, characteristic, complemented
16	#37453	C₂	1	1	yes	maximal, characteristic, complemented
17	#37448	C₂	1	1	yes	maximal, characteristic, complemented
18	#36386	C₂	1	2	yes	maximal, complemented
19	#36158	C₂	1	4	yes	maximal, complemented
20	#36124	C₂	1	2	yes	maximal, complemented
21	#35729	C₂	1	4	yes	maximal, complemented
22	#35305	C₂	1	1	yes	maximal, characteristic, complemented
23	#35233	C₂	1	1	yes	maximal, characteristic, complemented
24	#35222	C₂	1	1	yes	maximal, characteristic, complemented
25	#35131	C₂	1	1	yes	maximal, characteristic, complemented
26	#35085	C₂	1	1	yes	maximal, characteristic, complemented
27	#35019	C₂	1	1	yes	maximal, characteristic, complemented
28	#34946	C₂	1	1	yes	maximal, characteristic, complemented
29	#34738	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#2435	C₂	1	1	yes	maximal, characteristic, complemented
31	#34126	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×#41	C₂²	1	1	yes	characteristic
33	C₂⁴×D₄	C₂²	1	1	yes	characteristic
34	#3520	—	2	16	no	—
35	C₂×#556	C₂²	1	1	yes	characteristic, complemented
36	C₂×#554	C₂²	1	2	yes	complemented
37	C₂×#552	C₂²	1	1	yes	characteristic, complemented
38	C₂×#552	C₂²	1	1	yes	characteristic, complemented
39	C₂×#551	C₂²	1	2	yes	—
40	C₂×#551	C₂²	1	2	yes	complemented
41	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×#548	C₂²	1	1	yes	characteristic, complemented
43	C₂×#548	C₂²	1	1	yes	characteristic, complemented
44	C₂×#547	C₂²	1	1	yes	characteristic, complemented
45	C₂×#547	C₂²	1	1	yes	characteristic, complemented
46	C₂×#546	—	2	16	no	—
47	C₂×#546	C₂²	1	2	yes	—
48	C₂×#546	C₂²	1	2	yes	—
49	C₂×#546	C₂²	1	2	yes	—
50	C₂×#546	C₂²	1	2	yes	—
51	C₂×#546	C₂²	1	2	yes	—
52	C₂×#546	C₂²	1	2	yes	—
53	C₂×#546	C₂²	1	2	yes	—
54	C₂×#546	C₂²	1	2	yes	—
55	C₂×#546	C₂²	1	2	yes	—
56	C₂×#542	C₂²	1	2	yes	complemented
57	C₂×#539	C₂²	1	2	yes	complemented
58	C₂×#539	C₂²	1	2	yes	complemented
59	C₂×#536	C₂²	1	2	yes	complemented
60	C₂×#535	C₂²	1	2	yes	complemented
61	C₂×#533	C₂²	1	1	yes	characteristic, complemented
62	C₂×#532	C₂²	1	2	yes	complemented
63	C₂×#529	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#124	C₂²	1	1	yes	characteristic
65	C₂²×#124	C₂²	1	2	yes	complemented
66	C₂×#525	C₂²	1	1	yes	characteristic
67	C₂×#525	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#123	C₂²	1	2	yes	—
69	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
72	C₂²×#121	C₂²	1	1	yes	characteristic
73	C₂²×#121	C₂²	1	2	yes	—
74	C₂²×#120	C₂²	1	2	yes	—
75	C₂×#520	C₂²	1	2	yes	complemented
76	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
77	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
78	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
79	#2861	C₂²	1	2	yes	complemented
80	#2858	C₂²	1	2	yes	complemented
81	#2857	C₂²	1	2	yes	complemented
82	#2850	C₂²	1	2	yes	complemented
83	#2850	C₂²	1	2	yes	complemented
84	#2850	C₂²	1	2	yes	complemented
85	#2849	C₂²	1	4	yes	complemented
86	#2848	C₂²	1	4	yes	complemented
87	#2846	C₂²	1	4	yes	—
88	#2820	C₂²	1	4	yes	complemented
89	#2817	C₂²	1	4	yes	complemented
90	#2813	C₂²	1	4	yes	complemented
91	#2707	C₂²	1	8	yes	complemented
92	#2703	C₂²	1	8	yes	complemented
93	#2697	C₂²	1	8	yes	complemented
94	#2696	C₂²	1	8	yes	complemented
95	#2691	C₂²	1	8	yes	complemented
96	#2684	C₂²	1	8	yes	complemented
97	#2681	C₂²	1	8	yes	complemented
98	#2678	C₂²	1	8	yes	complemented
99	#2674	C₂²	1	8	yes	complemented
100	#2672	C₂²	1	8	yes	complemented
101	#2671	C₂²	1	8	yes	complemented
102	#2668	C₂²	1	8	yes	complemented
103	#2663	C₂²	1	4	yes	complemented
104	#2662	C₂²	1	4	yes	complemented
105	#2658	C₂²	1	2	yes	complemented
106	#2640	C₂²	1	2	yes	complemented
107	#2639	C₂²	1	4	yes	complemented
108	#2636	C₂²	1	4	yes	complemented
109	#2635	C₂²	1	4	yes	complemented
110	#2632	C₂²	1	4	yes	complemented
111	#2627	C₂²	1	4	yes	complemented
112	#2627	C₂²	1	4	yes	complemented
113	#2626	C₂²	1	4	yes	complemented
114	#2621	C₂²	1	2	yes	complemented
115	#2621	C₂²	1	2	yes	complemented
116	#2620	C₂²	1	2	yes	complemented
117	#2619	C₂²	1	2	yes	complemented
118	#2616	C₂²	1	4	yes	complemented
119	#2613	C₂²	1	4	yes	complemented
120	#2613	C₂²	1	4	yes	complemented
121	#2610	C₂²	1	4	yes	complemented
122	#2598	C₂²	1	4	yes	complemented
123	#2591	C₂²	1	4	yes	complemented
124	#2566	C₂²	1	2	yes	complemented
125	#2564	C₂²	1	4	yes	complemented
126	#2563	C₂²	1	2	yes	complemented
127	#2562	C₂²	1	4	yes	complemented
128	#2561	C₂²	1	4	yes	complemented
129	#2561	C₂²	1	4	yes	complemented
130	#2559	C₂²	1	8	yes	complemented
131	#2558	C₂²	1	8	yes	complemented
132	#2555	C₂²	1	8	yes	complemented
133	#2547	C₂²	1	2	yes	complemented
134	#2545	C₂²	1	2	yes	complemented
135	#2545	C₂²	1	2	yes	complemented
136	#2545	C₂²	1	2	yes	complemented
137	#2544	C₂²	1	2	yes	complemented
138	#2544	C₂²	1	2	yes	complemented
139	#2534	C₂²	1	8	yes	complemented
140	#2534	C₂²	1	4	yes	complemented
141	#2534	C₂²	1	4	yes	complemented
142	#2504	C₂²	1	2	yes	complemented
143	#2503	C₂²	1	1	yes	characteristic, complemented
144	#2503	C₂²	1	2	yes	complemented
145	#2503	C₂²	1	1	yes	characteristic, complemented
146	#2503	C₂²	1	1	yes	characteristic, complemented
147	#2501	C₂²	1	1	yes	characteristic, complemented
148	#2500	C₂²	1	2	yes	complemented
149	#2499	C₂²	1	2	yes	complemented
150	#2483	C₂²	1	4	yes	—
151	#2482	C₂²	1	4	yes	complemented
152	#2480	C₂²	1	8	yes	complemented
153	#2480	C₂²	1	8	yes	complemented
154	#2476	C₂²	1	8	yes	complemented
155	#2472	C₂²	1	8	yes	complemented
156	#2464	C₂²	1	8	yes	complemented
157	#2461	C₂²	1	8	yes	complemented
158	#2458	C₂²	1	8	yes	complemented
159	#2443	C₂²	1	8	yes	complemented
160	#2437	C₂²	1	8	yes	complemented
161	#2436	C₂²	1	2	yes	complemented
162	#2436	C₂²	1	1	yes	characteristic, complemented
163	#2435	C₂²	1	1	yes	characteristic
164	#2435	C₂²	1	1	yes	characteristic
165	#2435	C₂²	1	1	yes	characteristic
166	#2435	C₂²	1	1	yes	characteristic
167	#2435	C₂²	1	1	yes	characteristic
168	#2435	C₂²	1	4	yes	—
169	#2435	C₂²	1	1	yes	characteristic
170	#2435	C₂²	1	2	yes	complemented
171	#2435	C₂²	1	2	yes	complemented
172	#2435	C₂²	1	4	yes	complemented
173	#2435	C₂²	1	2	yes	complemented
174	#2434	C₂²	1	1	yes	characteristic, complemented
175	#2434	C₂²	1	2	yes	complemented
176	#2434	C₂²	1	1	yes	characteristic, complemented
177	#2434	C₂²	1	1	yes	characteristic, complemented
178	#2433	C₂²	1	1	yes	characteristic
179	#2433	C₂²	1	1	yes	characteristic
180	#2433	C₂²	1	2	yes	complemented
181	#2432	C₂²	1	2	yes	complemented
182	#2432	C₂²	1	2	yes	complemented
183	#2432	C₂²	1	2	yes	complemented
184	#2432	C₂²	1	2	yes	complemented
185	#2431	C₂²	1	2	yes	complemented
186	#2431	C₂²	1	2	yes	complemented
187	#2430	C₂²	1	4	yes	complemented
188	#2424	C₂²	1	8	yes	complemented
189	#2418	C₂²	1	8	yes	complemented
190	#2418	C₂²	1	8	yes	complemented
191	#2412	C₂²	1	4	yes	—
192	#2412	C₂²	1	8	yes	complemented
193	#2411	C₂²	1	4	yes	complemented
194	#2410	C₂²	1	4	yes	complemented
195	#2408	C₂²	1	4	yes	—
196	#2408	C₂²	1	4	yes	complemented
197	#2406	C₂²	1	4	yes	complemented
198	#2405	C₂²	1	4	yes	complemented
199	#2404	C₂²	1	8	yes	complemented
200	#2398	C₂²	1	4	yes	complemented
201	#2388	C₂²	1	4	yes	complemented
202	C₂×#394	C₂²	1	4	yes	complemented
203	#2358	C₂²	1	8	yes	complemented
204	#2357	C₂²	1	2	yes	complemented
205	#2353	C₂²	1	2	yes	complemented
206	#2353	C₂²	1	2	yes	complemented
207	#2349	C₂²	1	2	yes	complemented
208	#2345	C₂²	1	2	yes	complemented
209	#2342	C₂²	1	2	yes	—
210	#2342	C₂²	1	8	yes	complemented
211	#2342	C₂²	1	2	yes	complemented
212	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
213	#2328	C₂²	1	2	yes	complemented
214	#2326	C₂²	1	2	yes	complemented
215	#2322	C₂²	1	4	yes	complemented
216	#2321	C₂²	1	4	yes	complemented
217	#2311	C₂²	1	2	yes	complemented
218	#2309	C₂²	1	2	yes	complemented
219	#2308	C₂²	1	4	yes	complemented
220	C₄×#124	C₂²	1	2	yes	complemented
221	C₄×#124	C₂²	1	2	yes	complemented
222	C₄×#120	C₂²	1	4	yes	complemented
223	#2297	C₂²	1	2	yes	complemented
224	#2293	C₂²	1	2	yes	complemented
225	C₂×#390	C₂²	1	2	yes	complemented
226	#2290	C₂²	1	2	yes	complemented
227	#2290	C₂²	1	2	yes	complemented
228	#2283	C₂²	1	1	yes	characteristic, complemented
229	#2280	C₂²	1	1	yes	characteristic
230	#2280	C₂²	1	4	yes	complemented
231	#2280	C₂²	1	1	yes	characteristic, complemented
232	C₂×#379	C₂²	1	4	yes	—
233	C₄²×D₄	C₂²	1	2	yes	complemented
234	C₄×#117	C₂²	1	1	yes	characteristic, complemented
235	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
236	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
237	C₂⁶	C₂³	1	2	yes	—
238	C₂²×#41	—	2	8	no	—
239	C₂²×#41	—	4	8	no	—
240	C₂²×#41	C₂³	1	2	yes	—
241	C₂²×#41	C₂³	1	2	yes	—
242	C₂²×#41	C₂³	1	2	yes	—
243	C₂²×#41	C₂³	1	2	yes	—
244	C₂²×#41	C₂³	1	2	yes	—
245	C₂²×#41	C₂³	1	1	yes	characteristic
246	C₂²×#41	C₂³	1	1	yes	characteristic, complemented
247	C₂³×Q₈	C₂³	1	1	yes	characteristic
248	C₂³×Q₈	C₂³	1	1	yes	characteristic
249	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
250	C₂³×D₄	—	2	8	no	—
251	C₂³×D₄	—	4	8	no	—
252	C₂³×D₄	C₂³	1	1	yes	characteristic
253	C₂³×D₄	C₂³	1	2	yes	—
254	C₂³×D₄	C₂³	1	2	yes	—
255	C₂³×D₄	C₂³	1	2	yes	—
256	C₂³×D₄	C₂³	1	2	yes	—
257	C₂³×D₄	C₂³	1	2	yes	—
258	C₂³×D₄	C₂³	1	2	yes	—
259	C₂³×D₄	C₂³	1	1	yes	characteristic
260	C₂³×D₄	C₂³	1	2	yes	—
261	C₂³×D₄	C₂³	1	1	yes	characteristic
262	C₂⁴×C₄	C₂³	1	2	yes	—
263	C₂⁴×C₄	C₂³	1	2	yes	—
264	C₂⁴×C₄	C₂³	1	1	yes	characteristic
265	C₂⁴×C₄	C₂³	1	1	yes	characteristic
266	#556	—	2	8	no	—
267	#554	—	2	16	no	—
268	#552	—	2	8	no	—
269	#552	—	2	8	no	—
270	#551	—	2	16	no	—
271	#551	—	2	16	no	—
272	D₄×Q₈	—	2	8	no	—
273	#548	—	2	8	no	—
274	#548	—	2	8	no	—
275	#547	—	2	8	no	—
276	#547	—	2	8	no	—
277	#546	—	2	16	no	—
278	#546	—	2	16	no	—
279	#546	—	2	16	no	—
280	#546	—	2	16	no	—
281	#546	—	2	16	no	—
282	#546	—	2	16	no	—
283	#546	—	2	16	no	—
284	#546	—	2	16	no	—
285	#546	—	2	16	no	—
286	#542	—	2	16	no	—
287	#539	—	2	16	no	—
288	#539	—	2	16	no	—
289	#536	—	4	8	no	—
290	#535	—	4	8	no	—
291	#533	—	2	8	no	—
292	#532	—	4	8	no	—
293	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
295	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
296	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
297	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
298	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
299	C₂×#127	C₂³	1	2	yes	—
300	C₂×#127	C₂³	1	2	yes	—
301	#529	—	2	8	no	—
302	C₂×#126	C₂³	1	2	yes	—
303	C₂×#126	C₂³	1	2	yes	—
304	C₂×#126	C₂³	1	2	yes	complemented
305	C₂×#126	C₂³	1	2	yes	complemented
306	C₂×#126	C₂³	1	2	yes	complemented
307	C₂×#125	C₂³	1	2	yes	complemented
308	C₂×#125	C₂³	1	1	yes	characteristic, complemented
309	C₂×#125	C₂³	1	2	yes	complemented
310	C₂×#125	C₂³	1	2	yes	complemented
311	C₂×#124	—	2	8	no	—
312	C₂×#124	—	4	8	no	—
313	C₂×#124	C₂³	1	2	yes	—
314	C₂×#124	C₂³	1	2	yes	—
315	C₂×#124	C₂³	1	2	yes	—
316	C₂×#124	C₂³	1	2	yes	—
317	C₂×#124	C₂³	1	2	yes	—
318	C₂×#124	C₂³	1	2	yes	—
319	C₂×#124	C₂³	1	2	yes	—
320	C₂×#124	C₂³	1	2	yes	—
321	C₂×#124	C₂³	1	2	yes	—
322	C₂×#124	C₂³	1	2	yes	—
323	C₂×#124	C₂³	1	2	yes	—
324	C₂×#124	C₂³	1	2	yes	—
325	C₂×#124	C₂³	1	8	yes	—
326	C₂×#124	C₂³	1	1	yes	characteristic, complemented
327	C₂×#124	C₂³	1	2	yes	complemented
328	C₂×#124	C₂³	1	2	yes	complemented
329	#525	—	2	8	no	—
330	#525	—	2	8	no	—
331	C₂×#123	—	2	16	no	—
332	C₂×#123	C₂³	1	2	yes	—
333	C₂×#123	C₂³	1	2	yes	—
334	C₂×#123	C₂³	1	4	yes	—
335	C₂×#123	C₂³	1	4	yes	—
336	C₂×#123	C₂³	1	4	yes	—
337	C₂×#123	C₂³	1	4	yes	—
338	C₂×#123	C₂³	1	2	yes	—
339	C₂×#123	C₂³	1	2	yes	—
340	C₂×#123	C₂³	1	2	yes	—
341	C₂×#123	C₂³	1	2	yes	—
342	C₂×#123	C₂³	1	4	yes	—
343	C₂×#123	C₂³	1	2	yes	complemented
344	C₂×#123	C₂³	1	2	yes	complemented
345	C₂×#123	C₂³	1	2	yes	complemented
346	C₂×#123	C₂³	1	8	yes	complemented
347	C₂×C₂²⋊Q₈	—	2	8	no	—
348	C₂×C₂²⋊Q₈	—	2	8	no	—
349	C₂×C₂²⋊Q₈	—	2	8	no	—
350	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
351	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
356	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
358	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
361	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
366	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
367	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
368	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
369	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
370	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
371	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
372	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
373	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
374	C₂×#121	—	2	8	no	—
375	C₂×#121	—	2	16	no	—
376	C₂×#121	C₂³	1	2	yes	—
377	C₂×#121	C₂³	1	2	yes	—
378	C₂×#121	C₂³	1	1	yes	characteristic
379	C₂×#121	C₂³	1	2	yes	—
380	C₂×#121	C₂³	1	2	yes	—
381	C₂×#121	C₂³	1	4	yes	—
382	C₂×#121	C₂³	1	4	yes	—
383	C₂×#121	C₂³	1	4	yes	—
384	C₂×#121	C₂³	1	4	yes	—
385	C₂×#121	C₂³	1	1	yes	characteristic
386	C₂×#121	C₂³	1	2	yes	—
387	C₂×#121	C₂³	1	2	yes	—
388	C₂×#121	C₂³	1	2	yes	—
389	C₂×#121	C₂³	1	8	yes	—
390	C₂×#121	C₂³	1	1	yes	characteristic, complemented
391	C₂×#121	C₂³	1	8	yes	complemented
392	C₂×#120	—	2	16	no	—
393	C₂×#120	C₂³	1	2	yes	—
394	C₂×#120	C₂³	1	2	yes	—
395	C₂×#120	C₂³	1	4	yes	—
396	C₂×#120	C₂³	1	4	yes	—
397	C₂×#120	C₂³	1	4	yes	—
398	C₂×#120	C₂³	1	4	yes	—
399	C₂×#120	C₂³	1	4	yes	—
400	C₂×#120	C₂³	1	4	yes	—
401	C₂×#120	C₂³	1	8	yes	—
402	C₂×#120	C₂³	1	8	yes	—
403	#520	—	2	16	no	—
404	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
405	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
406	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
407	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
408	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
409	C₂×C₄×D₄	—	2	8	no	—
410	C₂×C₄×D₄	D₄	1	16	yes	complemented
411	C₂×C₄×D₄	C₂³	1	2	yes	—
412	C₂×C₄×D₄	C₂³	1	2	yes	—
413	C₂×C₄×D₄	C₂³	1	2	yes	—
414	C₂×C₄×D₄	C₂³	1	2	yes	—
415	C₂×C₄×D₄	C₂³	1	2	yes	—
416	C₂×C₄×D₄	C₂³	1	2	yes	—
417	C₂×C₄×D₄	C₂³	1	2	yes	—
418	C₂×C₄×D₄	C₂³	1	2	yes	—
419	C₂×C₄×D₄	C₂³	1	2	yes	—
420	C₂×C₄×D₄	C₂³	1	2	yes	—
421	C₂×C₄×D₄	C₂³	1	4	yes	—
422	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
423	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
424	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
425	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
426	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
427	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
428	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
429	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
430	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
431	C₂×C₄×D₄	C₂³	1	2	yes	complemented
432	C₂×C₄×D₄	C₂³	1	2	yes	complemented
433	C₂×C₄×D₄	C₂³	1	8	yes	complemented
434	C₂×#117	C₂³	1	1	yes	characteristic
435	C₂×#117	C₂³	1	2	yes	—
436	C₂×#117	C₂³	1	2	yes	—
437	C₂×#117	C₂³	1	2	yes	—
438	C₂×#117	C₂³	1	2	yes	—
439	C₂×#117	C₂³	1	2	yes	complemented
440	C₂×#117	C₂³	1	2	yes	complemented
441	C₂×#117	C₂³	1	1	yes	characteristic, complemented
442	C₂×#117	C₂³	1	2	yes	complemented
443	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
444	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
445	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
449	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
450	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
451	C₂²×C₂²⋊C₄	—	2	16	no	—
452	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
453	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
454	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
455	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
456	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
457	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
458	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
459	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
460	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
461	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
462	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
463	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
464	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
466	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
467	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
468	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	C₂²×C₄²	C₂³	1	2	yes	—
470	C₂²×C₄²	C₂³	1	1	yes	characteristic
471	C₂²×C₄²	C₂³	1	2	yes	complemented
472	#400	C₂³	1	4	yes	complemented
473	#400	C₂³	1	4	yes	complemented
474	#400	C₂³	1	8	yes	complemented
475	#400	C₂³	1	4	yes	complemented
476	#399	C₂³	1	4	yes	complemented
477	#399	C₂³	1	8	yes	complemented
478	#399	C₂³	1	8	yes	complemented
479	#398	C₂³	1	8	yes	complemented
480	#398	C₂³	1	8	yes	complemented
481	#397	C₂³	1	8	yes	—
482	#397	C₂³	1	8	yes	—
483	#397	C₂³	1	8	yes	—
484	#397	C₂³	1	8	yes	complemented
485	#397	C₂³	1	8	yes	complemented
486	#397	C₂³	1	8	yes	complemented
487	#396	C₂³	1	8	yes	complemented
488	#396	C₂³	1	8	yes	complemented
489	#396	C₂³	1	8	yes	complemented
490	#396	C₂³	1	8	yes	complemented
491	#396	C₂³	1	8	yes	complemented
492	#395	C₂³	1	4	yes	complemented
493	#395	C₂³	1	4	yes	complemented
494	#395	C₂³	1	8	yes	complemented
495	#395	C₂³	1	4	yes	complemented
496	#394	C₂³	1	4	yes	—
497	#394	C₂³	1	4	yes	—
498	#394	C₂³	1	4	yes	—
499	#394	C₂³	1	4	yes	—
500	#394	C₂³	1	4	yes	—
501	#394	C₂³	1	4	yes	—
502	#394	C₂³	1	8	yes	—
503	#394	C₂³	1	8	yes	—
504	#394	C₂³	1	8	yes	—
505	#394	C₂³	1	8	yes	—
506	#394	C₂³	1	8	yes	complemented
507	#394	C₂³	1	8	yes	complemented
508	#394	C₂³	1	8	yes	complemented
509	#394	C₂³	1	8	yes	complemented
510	#394	C₂³	1	8	yes	complemented
511	#394	C₂³	1	8	yes	complemented
512	#394	C₂³	1	8	yes	complemented
513	#394	C₂³	1	8	yes	complemented
514	#393	C₂³	1	8	yes	complemented
515	#393	C₂³	1	8	yes	complemented
516	#393	C₂³	1	4	yes	complemented
517	#393	C₂³	1	8	yes	complemented
518	#392	C₂³	1	4	yes	—
519	#392	C₂³	1	4	yes	—
520	#392	C₂³	1	8	yes	—
521	#392	C₂³	1	8	yes	complemented
522	#392	C₂³	1	8	yes	complemented
523	#392	C₂³	1	8	yes	complemented
524	#391	C₂³	1	2	yes	complemented
525	#391	C₂³	1	2	yes	complemented
526	#391	C₂³	1	2	yes	complemented
527	#391	C₂³	1	2	yes	complemented
528	#391	C₂³	1	2	yes	complemented
529	#391	C₂³	1	2	yes	complemented
530	#391	C₂³	1	2	yes	complemented
531	#390	C₂³	1	2	yes	—
532	#390	C₂³	1	2	yes	—
533	#390	C₂³	1	2	yes	—
534	#390	C₂³	1	2	yes	—
535	#390	C₂³	1	2	yes	—
536	#390	C₂³	1	8	yes	—
537	#390	C₂³	1	2	yes	—
538	#390	C₂³	1	4	yes	—
539	#390	C₂³	1	2	yes	—
540	#390	C₂³	1	2	yes	—
541	#390	C₂³	1	8	yes	—
542	#390	C₂³	1	8	yes	complemented
543	#390	C₂³	1	2	yes	complemented
544	#390	C₂³	1	8	yes	complemented
545	#389	C₂³	1	8	yes	complemented
546	#389	C₂³	1	4	yes	complemented
547	#388	C₂³	1	4	yes	—
548	#388	C₂³	1	4	yes	—
549	#388	C₂³	1	8	yes	complemented
550	#388	C₂³	1	8	yes	complemented
551	#388	C₂³	1	8	yes	complemented
552	#388	C₂³	1	8	yes	complemented
553	#388	C₂³	1	8	yes	complemented
554	#388	C₂³	1	8	yes	complemented
555	#388	C₂³	1	8	yes	complemented
556	#388	C₂³	1	8	yes	complemented
557	#388	C₂³	1	8	yes	complemented
558	#388	C₂³	1	4	yes	complemented
559	#388	C₂³	1	4	yes	complemented
560	#388	C₂³	1	8	yes	complemented
561	#388	C₂³	1	8	yes	complemented
562	#388	C₂³	1	8	yes	complemented
563	#387	C₂³	1	8	yes	complemented
564	#387	C₂³	1	4	yes	complemented
565	#387	C₂³	1	4	yes	complemented
566	#386	C₂³	1	8	yes	—
567	#386	C₂³	1	4	yes	—
568	#386	C₂³	1	4	yes	—
569	#386	C₂³	1	4	yes	—
570	#386	C₂³	1	8	yes	complemented
571	#386	C₂³	1	8	yes	complemented
572	#386	C₂³	1	8	yes	complemented
573	#386	C₂³	1	8	yes	complemented
574	#386	C₂³	1	8	yes	complemented
575	#386	C₂³	1	8	yes	complemented
576	#386	C₂³	1	8	yes	complemented
577	#386	C₂³	1	8	yes	complemented
578	#386	C₂³	1	8	yes	complemented
579	#386	C₂³	1	8	yes	complemented
580	#386	C₂³	1	8	yes	complemented
581	#386	C₂³	1	8	yes	complemented
582	#385	C₂³	1	4	yes	—
583	#385	C₂³	1	4	yes	—
584	#385	C₂³	1	4	yes	—
585	#385	C₂³	1	8	yes	—
586	#385	C₂³	1	4	yes	—
587	#385	C₂³	1	8	yes	complemented
588	#385	C₂³	1	8	yes	complemented
589	#385	C₂³	1	8	yes	complemented
590	#385	C₂³	1	8	yes	complemented
591	#385	C₂³	1	8	yes	complemented
592	#385	C₂³	1	4	yes	complemented
593	#385	C₂³	1	8	yes	complemented
594	#384	C₂³	1	2	yes	complemented
595	#383	C₂³	1	2	yes	complemented
596	#382	C₂³	1	2	yes	complemented
597	#382	C₂³	1	2	yes	complemented
598	#382	C₂³	1	2	yes	complemented
599	#382	C₂³	1	2	yes	complemented
600	#381	C₂³	1	4	yes	—
601	#381	C₂³	1	4	yes	—
602	#381	C₂³	1	4	yes	—
603	#381	C₂³	1	2	yes	—
604	#381	C₂³	1	2	yes	—
605	#381	C₂³	1	8	yes	—
606	#381	C₂³	1	2	yes	complemented
607	#380	C₂³	1	8	yes	—
608	#380	C₂³	1	2	yes	—
609	#380	C₂³	1	2	yes	—
610	#380	C₂³	1	2	yes	—
611	#380	C₂³	1	2	yes	—
612	#380	C₂³	1	8	yes	complemented
613	#380	C₂³	1	8	yes	complemented
614	#380	C₂³	1	8	yes	complemented
615	#380	C₂³	1	2	yes	complemented
616	#379	C₂³	1	4	yes	—
617	#379	C₂³	1	4	yes	—
618	#379	C₂³	1	4	yes	—
619	#379	C₂³	1	4	yes	—
620	#379	C₂³	1	8	yes	—
621	#379	C₂³	1	2	yes	—
622	#379	C₂³	1	8	yes	—
623	#379	C₂³	1	4	yes	—
624	#379	C₂³	1	2	yes	—
625	#379	C₂³	1	4	yes	—
626	#379	C₂³	1	8	yes	—
627	#379	C₂³	1	8	yes	—
628	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
629	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
630	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
631	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
633	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
634	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
635	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
636	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
637	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
638	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
639	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
640	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
641	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
642	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
643	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
644	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
645	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
646	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
647	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
648	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
649	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
650	#376	C₂³	1	2	yes	complemented
651	#376	C₂³	1	2	yes	complemented
652	C₂×#95	C₂³	1	2	yes	—
653	C₂×#95	C₂³	1	2	yes	complemented
654	C₄³	C₂³	1	2	yes	complemented
655	C₂⁵	—	2	8	no	—
656	C₂⁵	—	4	8	no	—
657	C₂⁵	—	4	8	no	—
658	C₂⁵	—	4	8	no	—
659	C₂⁵	C₂⁴	1	2	yes	—
660	C₂⁵	C₂⁴	1	4	yes	—
661	C₂⁵	C₂⁴	1	1	yes	characteristic
662	C₂⁵	C₂⁴	1	2	yes	—
663	C₂⁵	C₂⁴	1	4	yes	—
664	C₂⁵	C₂⁴	1	1	yes	characteristic
665	C₂×#41	—	2	8	no	—
666	C₂×#41	—	2	8	no	—
667	C₂×#41	—	2	8	no	—
668	C₂×#41	—	2	8	no	—
669	C₂×#41	—	2	8	no	—
670	C₂×#41	—	2	8	no	—
671	C₂×#41	—	2	8	no	—
672	C₂×#41	—	2	4	no	—
673	C₂×#41	—	2	4	no	—
674	C₂×#41	—	4	8	no	—
675	C₂×#41	—	4	8	no	—
676	C₂×#41	—	4	8	no	—
677	C₂×#41	—	4	4	no	—
678	C₂×#41	—	4	4	no	—
679	C₂×#41	—	4	4	no	—
680	C₂×#41	—	4	4	no	—
681	C₂×#41	—	4	64	no	—
682	C₂²×Q₈	—	2	4	no	—
683	C₂²×Q₈	—	2	4	no	—
684	C₂²×Q₈	—	2	4	no	—
685	C₂²×Q₈	—	4	4	no	—
686	C₂²×Q₈	—	4	4	no	—
687	C₂²×Q₈	—	4	4	no	—
688	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
689	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
690	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
691	C₂²×Q₈	C₂⁴	1	2	yes	—
692	C₂²×Q₈	C₂⁴	1	2	yes	—
693	C₂²×Q₈	C₂⁴	1	2	yes	—
694	C₂²×Q₈	C₂⁴	1	2	yes	—
695	C₂²×Q₈	C₂⁴	1	2	yes	—
696	C₂²×D₄	—	2	8	no	—
697	C₂²×D₄	—	2	8	no	—
698	C₂²×D₄	—	2	8	no	—
699	C₂²×D₄	—	2	8	no	—
700	C₂²×D₄	—	2	8	no	—
701	C₂²×D₄	—	2	4	no	—
702	C₂²×D₄	—	2	8	no	—
703	C₂²×D₄	—	2	4	no	—
704	C₂²×D₄	—	2	8	no	—
705	C₂²×D₄	—	2	8	no	—
706	C₂²×D₄	—	2	8	no	—
707	C₂²×D₄	—	2	8	no	—
708	C₂²×D₄	—	4	4	no	—
709	C₂²×D₄	—	4	4	no	—
710	C₂²×D₄	—	4	4	no	—
711	C₂²×D₄	—	4	8	no	—
712	C₂²×D₄	—	4	8	no	—
713	C₂²×D₄	—	4	8	no	—
714	C₂²×D₄	—	4	8	no	—
715	C₂²×D₄	—	4	4	no	—
716	C₂²×D₄	—	4	8	no	—
717	C₂²×D₄	—	4	64	no	—
718	C₂²×D₄	C₂×D₄	1	8	yes	—
719	C₂²×D₄	C₂⁴	1	2	yes	—
720	C₂²×D₄	C₂⁴	1	2	yes	—
721	C₂²×D₄	C₂⁴	1	2	yes	—
722	C₂²×D₄	C₂⁴	1	1	yes	characteristic
723	C₂²×D₄	C₂⁴	1	2	yes	—
724	C₂²×D₄	C₂⁴	1	4	yes	—
725	C₂²×D₄	C₂⁴	1	4	yes	—
726	C₂²×D₄	C₂⁴	1	4	yes	—
727	C₂²×D₄	C₂⁴	1	4	yes	—
728	C₂²×D₄	C₂⁴	1	1	yes	characteristic
729	C₂²×D₄	C₂⁴	1	1	yes	characteristic
730	C₂²×D₄	C₂⁴	1	2	yes	—
731	C₂²×D₄	C₂⁴	1	2	yes	—
732	C₂²×D₄	C₂⁴	1	8	yes	—
733	C₂²×D₄	C₂⁴	1	2	yes	—
734	C₂²×D₄	C₂⁴	1	4	yes	—
735	C₂²×D₄	C₂⁴	1	4	yes	—
736	C₂²×D₄	C₂⁴	1	2	yes	—
737	C₂²×D₄	C₂⁴	1	2	yes	—
738	C₂²×D₄	C₂⁴	1	8	yes	—
739	C₂²×D₄	C₂⁴	1	1	yes	characteristic
740	C₂²×D₄	C₂⁴	1	1	yes	characteristic
741	C₂³×C₄	—	2	8	no	—
742	C₂³×C₄	—	2	8	no	—
743	C₂³×C₄	—	4	4	no	—
744	C₂³×C₄	—	4	4	no	—
745	C₂³×C₄	—	4	8	no	—
746	C₂³×C₄	—	4	8	no	—
747	C₂³×C₄	C₂×D₄	1	8	yes	—
748	C₂³×C₄	C₂×D₄	1	8	yes	—
749	C₂³×C₄	C₂⁴	1	2	yes	—
750	C₂³×C₄	C₂⁴	1	2	yes	—
751	C₂³×C₄	C₂⁴	1	4	yes	—
752	C₂³×C₄	C₂⁴	1	4	yes	—
753	C₂³×C₄	C₂⁴	1	1	yes	characteristic
754	C₂³×C₄	C₂⁴	1	1	yes	characteristic
755	C₂³×C₄	C₂⁴	1	1	yes	characteristic
756	C₂³×C₄	C₂⁴	1	1	yes	characteristic
757	C₂³×C₄	C₂⁴	1	1	yes	characteristic
758	C₂³×C₄	C₂⁴	1	1	yes	characteristic
759	C₂³×C₄	C₂⁴	1	2	yes	—
760	C₂³×C₄	C₂⁴	1	4	yes	—
761	C₂³×C₄	C₂⁴	1	2	yes	—
762	C₂³×C₄	C₂⁴	1	4	yes	—
763	C₂³×C₄	C₂⁴	1	4	yes	—
764	C₂³×C₄	C₂⁴	1	2	yes	—
765	C₂³×C₄	C₂⁴	1	2	yes	—
766	C₂³×C₄	C₂⁴	1	2	yes	—
767	C₂³×C₄	C₂⁴	1	2	yes	—
768	C₂³×C₄	C₂⁴	1	2	yes	—
769	C₂³×C₄	C₂⁴	1	4	yes	—
770	C₂³×C₄	C₂⁴	1	1	yes	characteristic
771	C₂³×C₄	C₂⁴	1	1	yes	characteristic
772	C₂³×C₄	C₂⁴	1	1	yes	characteristic
773	C₂³×C₄	C₂⁴	1	1	yes	characteristic
774	C₂³×C₄	C₂⁴	1	1	yes	characteristic
775	C₂³×C₄	C₂⁴	1	1	yes	characteristic
776	C₂³×C₄	C₂⁴	1	1	yes	characteristic
777	C₄⋊Q₈	—	2	8	no	—
778	C₄⋊Q₈	—	2	4	no	—
779	C₄⋊Q₈	—	2	4	no	—
780	C₄⋊Q₈	—	4	4	no	—
781	C₄⋊Q₈	—	4	4	no	—
782	C₄⋊Q₈	—	4	4	no	—
783	#127	—	2	8	no	—
784	#127	—	4	4	no	—
785	#126	—	2	8	no	—
786	#126	—	2	8	no	—
787	#126	—	2	8	no	—
788	#126	—	2	8	no	—
789	#126	—	2	8	no	—
790	#125	—	2	8	no	—
791	#125	—	2	8	no	—
792	#125	—	2	4	no	—
793	#125	—	2	8	no	—
794	#124	—	2	8	no	—
795	#124	—	2	8	no	—
796	#124	—	2	8	no	—
797	#124	—	2	8	no	—
798	#124	—	2	8	no	—
799	#124	—	2	8	no	—
800	#124	—	2	8	no	—
801	#124	—	2	8	no	—
802	#124	—	2	8	no	—
803	#124	—	2	8	no	—
804	#124	—	2	4	no	—
805	#124	—	4	4	no	—
806	#124	—	4	4	no	—
807	#124	—	4	4	no	—
808	#124	—	4	4	no	—
809	#124	—	4	16	no	—
810	#123	—	2	8	no	—
811	#123	—	2	8	no	—
812	#123	—	2	8	no	—
813	#123	—	2	8	no	—
814	#123	—	2	8	no	—
815	#123	—	2	16	no	—
816	#123	—	2	16	no	—
817	#123	—	2	16	no	—
818	#123	—	2	16	no	—
819	#123	—	2	8	no	—
820	#123	—	2	8	no	—
821	#123	—	2	8	no	—
822	#123	—	2	8	no	—
823	#123	—	4	16	no	—
824	#123	—	4	8	no	—
825	C₂²⋊Q₈	—	2	4	no	—
826	C₂²⋊Q₈	—	2	4	no	—
827	C₂²⋊Q₈	—	2	4	no	—
828	C₂²⋊Q₈	—	2	8	no	—
829	C₂²⋊Q₈	—	2	8	no	—
830	C₂²⋊Q₈	—	2	8	no	—
831	C₂²⋊Q₈	—	2	8	no	—
832	C₂²⋊Q₈	—	2	8	no	—
833	C₂²⋊Q₈	—	2	4	no	—
834	C₂²⋊Q₈	—	2	4	no	—
835	C₂²⋊Q₈	—	2	8	no	—
836	C₂²⋊Q₈	—	2	8	no	—
837	C₂²⋊Q₈	—	2	8	no	—
838	C₂²⋊Q₈	—	2	4	no	—
839	C₂²⋊Q₈	—	2	4	no	—
840	C₂²⋊Q₈	—	2	4	no	—
841	C₂²⋊Q₈	—	2	8	no	—
842	C₂²⋊Q₈	—	2	4	no	—
843	C₂²⋊Q₈	—	2	8	no	—
844	C₂²⋊Q₈	—	2	8	no	—
845	C₂²⋊Q₈	—	2	8	no	—
846	C₂²⋊Q₈	—	2	8	no	—
847	C₂²⋊Q₈	—	2	8	no	—
848	C₂²⋊Q₈	—	4	16	no	—
849	#121	—	2	8	no	—
850	#121	—	2	8	no	—
851	#121	—	2	8	no	—
852	#121	—	2	8	no	—
853	#121	—	2	8	no	—
854	#121	—	2	8	no	—
855	#121	—	2	8	no	—
856	#121	—	2	4	no	—
857	#121	—	2	4	no	—
858	#121	—	2	4	no	—
859	#121	—	2	16	no	—
860	#121	—	2	16	no	—
861	#121	—	2	16	no	—
862	#121	—	2	16	no	—
863	#121	—	4	16	no	—
864	#121	—	4	16	no	—
865	#120	—	2	8	no	—
866	#120	—	2	8	no	—
867	#120	—	2	16	no	—
868	#120	—	2	16	no	—
869	#120	—	2	16	no	—
870	#120	—	2	16	no	—
871	#120	—	4	8	no	—
872	#120	—	4	8	no	—
873	#120	—	4	16	no	—
874	#120	—	4	16	no	—
875	C₄×Q₈	—	2	8	no	—
876	C₄×Q₈	—	2	8	no	—
877	C₄×Q₈	—	2	4	no	—
878	C₄×Q₈	—	2	4	no	—
879	C₄×Q₈	—	2	4	no	—
880	C₄×D₄	—	2	8	no	—
881	C₄×D₄	—	2	8	no	—
882	C₄×D₄	—	2	8	no	—
883	C₄×D₄	—	2	8	no	—
884	C₄×D₄	—	2	8	no	—
885	C₄×D₄	—	2	8	no	—
886	C₄×D₄	—	2	8	no	—
887	C₄×D₄	—	2	8	no	—
888	C₄×D₄	—	2	8	no	—
889	C₄×D₄	—	2	8	no	—
890	C₄×D₄	—	2	8	no	—
891	C₄×D₄	—	2	8	no	—
892	C₄×D₄	—	2	4	no	—
893	C₄×D₄	—	4	8	no	—
894	C₄×D₄	—	4	16	no	—
895	C₄×D₄	C₂×D₄	1	8	yes	—
896	C₄×D₄	C₂×D₄	1	8	yes	—
897	C₄×D₄	C₂×D₄	1	8	yes	—
898	C₄×D₄	C₂×D₄	1	8	yes	—
899	C₄×D₄	C₂×D₄	1	8	yes	—
900	C₄×D₄	C₂×D₄	1	8	yes	—
901	C₄×D₄	C₂×D₄	1	8	yes	—
902	C₄×D₄	C₂×D₄	1	8	yes	—
903	#117	—	2	4	no	—
904	#117	—	2	8	no	—
905	#117	—	2	4	no	—
906	#117	—	2	8	no	—
907	#117	—	2	8	no	—
908	#117	—	2	8	no	—
909	#117	—	4	4	no	—
910	#117	—	4	4	no	—
911	#117	—	4	4	no	—
912	C₂×C₄⋊C₄	—	2	4	no	—
913	C₂×C₄⋊C₄	—	2	8	no	—
914	C₂×C₄⋊C₄	—	2	8	no	—
915	C₂×C₄⋊C₄	—	2	4	no	—
916	C₂×C₄⋊C₄	—	2	8	no	—
917	C₂×C₄⋊C₄	—	2	4	no	—
918	C₂×C₄⋊C₄	—	2	8	no	—
919	C₂×C₄⋊C₄	C₂×D₄	1	8	yes	—
920	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
925	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
926	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
935	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
937	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
944	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
947	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
948	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
949	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
950	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
952	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
953	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
954	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
955	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	—	2	8	no	—
960	C₂×C₂²⋊C₄	—	2	8	no	—
961	C₂×C₂²⋊C₄	—	2	8	no	—
962	C₂×C₂²⋊C₄	—	2	8	no	—
963	C₂×C₂²⋊C₄	—	2	8	no	—
964	C₂×C₂²⋊C₄	—	2	8	no	—
965	C₂×C₂²⋊C₄	—	2	8	no	—
966	C₂×C₂²⋊C₄	—	2	16	no	—
967	C₂×C₂²⋊C₄	—	2	16	no	—
968	C₂×C₂²⋊C₄	—	2	16	no	—
969	C₂×C₂²⋊C₄	—	2	16	no	—
970	C₂×C₂²⋊C₄	—	4	4	no	—
971	C₂×C₂²⋊C₄	—	4	4	no	—
972	C₂×C₂²⋊C₄	—	4	16	no	—
973	C₂×C₂²⋊C₄	—	4	16	no	—
974	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
975	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
976	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
977	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
982	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
983	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂⁴	1	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	8	yes	—
989	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
991	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
993	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	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	8	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1037	C₂×C₄²	—	4	4	no	—
1038	C₂×C₄²	—	4	4	no	—
1039	C₂×C₄²	C₂×D₄	1	8	yes	—
1040	C₂×C₄²	C₂⁴	1	2	yes	—
1041	C₂×C₄²	C₂⁴	1	2	yes	—
1042	C₂×C₄²	C₂⁴	1	2	yes	—
1043	C₂×C₄²	C₂⁴	1	2	yes	—
1044	C₂×C₄²	C₂⁴	1	2	yes	—
1045	C₂×C₄²	C₂⁴	1	2	yes	—
1046	C₂×C₄²	C₂⁴	1	2	yes	—
1047	C₂×C₄²	C₂⁴	1	2	yes	—
1048	C₂×C₄²	C₂⁴	1	2	yes	—
1049	C₂×C₄²	C₂⁴	1	4	yes	—
1050	C₂×C₄²	C₂⁴	1	4	yes	—
1051	C₂×C₄²	C₂⁴	1	4	yes	—
1052	C₂×C₄²	C₂⁴	1	4	yes	—
1053	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1054	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1055	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1056	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1057	#95	C₂⁴	1	2	yes	—
1058	#95	C₂⁴	1	2	yes	—
1059	#95	C₂⁴	1	4	yes	—
1060	#95	C₂⁴	1	2	yes	—
1061	#95	C₂⁴	1	4	yes	—
1062	#95	C₂⁴	1	2	yes	—
1063	#95	C₂⁴	1	4	yes	—
1064	#95	C₂⁴	1	4	yes	—
1065	#95	C₂⁴	1	4	yes	—
1066	#95	C₂⁴	1	4	yes	—
1067	#95	C₂⁴	1	4	yes	—
1068	#95	C₂⁴	1	4	yes	—
1069	#95	C₂⁴	1	8	yes	—
1070	#95	C₂⁴	1	8	yes	—
1071	#95	C₂⁴	1	8	yes	—
1072	#95	C₂⁴	1	8	yes	—
1073	#95	C₂⁴	1	8	yes	—
1074	#95	C₂⁴	1	8	yes	—
1075	#95	C₂⁴	1	8	yes	—
1076	#95	C₂⁴	1	8	yes	—
1077	#95	C₂⁴	1	8	yes	—
1078	#95	C₂⁴	1	8	yes	—
1079	C₂⁴	—	2	4	no	—
1080	C₂⁴	—	2	8	no	—
1081	C₂⁴	—	2	4	no	—
1082	C₂⁴	—	2	4	no	—
1083	C₂⁴	—	2	4	no	—
1084	C₂⁴	—	2	4	no	—
1085	C₂⁴	—	2	8	no	—
1086	C₂⁴	—	2	8	no	—
1087	C₂⁴	—	2	8	no	—
1088	C₂⁴	—	2	8	no	—
1089	C₂⁴	—	2	16	no	—
1090	C₂⁴	—	2	8	no	—
1091	C₂⁴	—	2	8	no	—
1092	C₂⁴	—	4	2	no	—
1093	C₂⁴	—	4	4	no	—
1094	C₂⁴	—	4	2	no	—
1095	C₂⁴	—	4	4	no	—
1096	C₂⁴	—	4	4	no	—
1097	C₂⁴	—	4	4	no	—
1098	C₂⁴	—	4	2	no	—
1099	C₂⁴	—	4	8	no	—
1100	C₂⁴	—	4	4	no	—
1101	C₂⁴	—	4	8	no	—
1102	C₂⁴	—	4	8	no	—
1103	C₂⁴	—	4	32	no	—
1104	C₂⁴	—	4	32	no	—
1105	C₂⁴	—	8	16	no	—
1106	C₂⁴	—	8	64	no	—
1107	C₂⁴	C₂²×D₄	1	4	yes	—
1108	C₂⁴	C₂²×D₄	1	4	yes	—
1109	C₂⁴	C₂⁵	1	4	yes	—
1110	C₂⁴	C₂⁵	1	2	yes	—
1111	C₂⁴	C₂⁵	1	1	yes	characteristic
1112	C₂⁴	C₂⁵	1	1	yes	characteristic
1113	C₂⁴	C₂⁵	1	1	yes	characteristic
1114	C₂⁴	C₂⁵	1	4	yes	—
1115	C₂⁴	C₂⁵	1	1	yes	characteristic
1116	C₂⁴	C₂⁵	1	1	yes	characteristic
1117	#41	—	4	32	no	—
1118	#41	—	4	32	no	—
1119	#41	—	4	32	no	—
1120	#41	—	4	32	no	—
1121	#41	—	4	32	no	—
1122	#41	—	8	8	no	—
1123	#41	—	8	8	no	—
1124	C₂×Q₈	—	2	4	no	—
1125	C₂×Q₈	—	2	2	no	—
1126	C₂×Q₈	—	2	2	no	—
1127	C₂×Q₈	—	2	2	no	—
1128	C₂×Q₈	—	2	4	no	—
1129	C₂×Q₈	—	2	4	no	—
1130	C₂×Q₈	—	2	4	no	—
1131	C₂×Q₈	—	2	4	no	—
1132	C₂×Q₈	—	2	4	no	—
1133	C₂×Q₈	—	2	4	no	—
1134	C₂×Q₈	—	2	4	no	—
1135	C₂×Q₈	—	2	4	no	—
1136	C₂×Q₈	—	2	4	no	—
1137	C₂×Q₈	—	4	4	no	—
1138	C₂×Q₈	—	4	4	no	—
1139	C₂×Q₈	—	4	4	no	—
1140	C₂×Q₈	—	4	4	no	—
1141	C₂×Q₈	—	4	16	no	—
1142	C₂×Q₈	—	8	8	no	—
1143	C₂×Q₈	—	8	8	no	—
1144	C₂×D₄	—	2	32	no	—
1145	C₂×D₄	—	2	8	no	—
1146	C₂×D₄	—	2	4	no	—
1147	C₂×D₄	—	2	4	no	—
1148	C₂×D₄	—	2	4	no	—
1149	C₂×D₄	—	2	4	no	—
1150	C₂×D₄	—	2	4	no	—
1151	C₂×D₄	—	2	8	no	—
1152	C₂×D₄	—	2	8	no	—
1153	C₂×D₄	—	2	8	no	—
1154	C₂×D₄	—	2	8	no	—
1155	C₂×D₄	—	2	8	no	—
1156	C₂×D₄	—	2	8	no	—
1157	C₂×D₄	—	2	8	no	—
1158	C₂×D₄	—	2	8	no	—
1159	C₂×D₄	—	2	8	no	—
1160	C₂×D₄	—	2	8	no	—
1161	C₂×D₄	—	2	4	no	—
1162	C₂×D₄	—	2	4	no	—
1163	C₂×D₄	—	2	16	no	—
1164	C₂×D₄	—	2	4	no	—
1165	C₂×D₄	—	2	4	no	—
1166	C₂×D₄	—	2	2	no	—
1167	C₂×D₄	—	2	8	no	—
1168	C₂×D₄	—	2	8	no	—
1169	C₂×D₄	—	2	4	no	—
1170	C₂×D₄	—	2	4	no	—
1171	C₂×D₄	—	2	4	no	—
1172	C₂×D₄	—	2	4	no	—
1173	C₂×D₄	—	2	4	no	—
1174	C₂×D₄	—	2	4	no	—
1175	C₂×D₄	—	4	32	no	—
1176	C₂×D₄	—	4	32	no	—
1177	C₂×D₄	—	4	4	no	—
1178	C₂×D₄	—	4	4	no	—
1179	C₂×D₄	—	4	4	no	—
1180	C₂×D₄	—	4	2	no	—
1181	C₂×D₄	—	4	2	no	—
1182	C₂×D₄	—	4	4	no	—
1183	C₂×D₄	—	4	4	no	—
1184	C₂×D₄	—	4	4	no	—
1185	C₂×D₄	—	4	16	no	—
1186	C₂×D₄	—	4	4	no	—
1187	C₂×D₄	—	4	8	no	—
1188	C₂×D₄	—	4	8	no	—
1189	C₂×D₄	—	4	4	no	—
1190	C₂×D₄	—	4	8	no	—
1191	C₂×D₄	—	4	8	no	—
1192	C₂×D₄	—	4	8	no	—
1193	C₂×D₄	—	4	8	no	—
1194	C₂×D₄	—	4	8	no	—
1195	C₂×D₄	—	4	16	no	—
1196	C₂×D₄	—	4	32	no	—
1197	C₂×D₄	—	4	32	no	—
1198	C₂×D₄	—	4	32	no	—
1199	C₂×D₄	—	4	32	no	—
1200	C₂×D₄	—	8	16	no	—
1201	C₂×D₄	C₂²×D₄	1	4	yes	—
1202	C₂×D₄	C₂²×D₄	1	4	yes	—
1203	C₂×D₄	C₂²×D₄	1	4	yes	—
1204	C₂×D₄	C₂²×D₄	1	4	yes	—
1205	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
1206	C₂²×C₄	—	2	4	no	—
1207	C₂²×C₄	—	2	4	no	—
1208	C₂²×C₄	—	2	4	no	—
1209	C₂²×C₄	—	2	4	no	—
1210	C₂²×C₄	—	2	4	no	—
1211	C₂²×C₄	—	2	4	no	—
1212	C₂²×C₄	—	2	4	no	—
1213	C₂²×C₄	—	2	4	no	—
1214	C₂²×C₄	—	2	4	no	—
1215	C₂²×C₄	—	2	4	no	—
1216	C₂²×C₄	—	2	8	no	—
1217	C₂²×C₄	—	2	8	no	—
1218	C₂²×C₄	—	2	8	no	—
1219	C₂²×C₄	—	2	8	no	—
1220	C₂²×C₄	—	2	4	no	—
1221	C₂²×C₄	—	2	4	no	—
1222	C₂²×C₄	—	2	8	no	—
1223	C₂²×C₄	—	2	8	no	—
1224	C₂²×C₄	—	2	8	no	—
1225	C₂²×C₄	—	2	4	no	—
1226	C₂²×C₄	—	2	8	no	—
1227	C₂²×C₄	—	2	8	no	—
1228	C₂²×C₄	—	2	4	no	—
1229	C₂²×C₄	—	2	4	no	—
1230	C₂²×C₄	—	4	16	no	—
1231	C₂²×C₄	—	4	16	no	—
1232	C₂²×C₄	—	4	2	no	—
1233	C₂²×C₄	—	4	2	no	—
1234	C₂²×C₄	—	4	2	no	—
1235	C₂²×C₄	—	4	2	no	—
1236	C₂²×C₄	—	4	4	no	—
1237	C₂²×C₄	—	4	2	no	—
1238	C₂²×C₄	—	4	4	no	—
1239	C₂²×C₄	—	4	2	no	—
1240	C₂²×C₄	—	4	4	no	—
1241	C₂²×C₄	—	4	2	no	—
1242	C₂²×C₄	—	4	4	no	—
1243	C₂²×C₄	—	4	4	no	—
1244	C₂²×C₄	—	4	4	no	—
1245	C₂²×C₄	—	4	4	no	—
1246	C₂²×C₄	—	4	4	no	—
1247	C₂²×C₄	—	4	4	no	—
1248	C₂²×C₄	—	4	4	no	—
1249	C₂²×C₄	—	4	4	no	—
1250	C₂²×C₄	—	4	4	no	—
1251	C₂²×C₄	—	4	4	no	—
1252	C₂²×C₄	—	4	4	no	—
1253	C₂²×C₄	—	4	8	no	—
1254	C₂²×C₄	—	4	8	no	—
1255	C₂²×C₄	—	4	32	no	—
1256	C₂²×C₄	—	8	16	no	—
1257	C₂²×C₄	C₂²×D₄	1	4	yes	—
1258	C₂²×C₄	C₂²×D₄	1	4	yes	—
1259	C₂²×C₄	C₂²×D₄	1	4	yes	—
1260	C₂²×C₄	C₂²×D₄	1	4	yes	—
1261	C₂²×C₄	C₂²×D₄	1	4	yes	—
1262	C₂²×C₄	C₂²×D₄	1	4	yes	—
1263	C₂²×C₄	C₂²×D₄	1	4	yes	—
1264	C₂²×C₄	C₂²×D₄	1	4	yes	—
1265	C₂²×C₄	C₂²×D₄	1	4	yes	—
1266	C₂²×C₄	C₂²×D₄	1	4	yes	—
1267	C₂²×C₄	C₂²×D₄	1	4	yes	—
1268	C₂²×C₄	C₂²×D₄	1	4	yes	—
1269	C₂²×C₄	C₂²×D₄	1	4	yes	—
1270	C₂²×C₄	C₂⁵	1	4	yes	—
1271	C₂²×C₄	C₂⁵	1	4	yes	—
1272	C₂²×C₄	C₂⁵	1	4	yes	—
1273	C₂²×C₄	C₂⁵	1	4	yes	—
1274	C₂²×C₄	C₂⁵	1	4	yes	—
1275	C₂²×C₄	C₂⁵	1	2	yes	—
1276	C₂²×C₄	C₂⁵	1	2	yes	—
1277	C₂²×C₄	C₂⁵	1	2	yes	—
1278	C₂²×C₄	C₂⁵	1	4	yes	—
1279	C₂²×C₄	C₂⁵	1	2	yes	—
1280	C₂²×C₄	C₂⁵	1	2	yes	—
1281	C₂²×C₄	C₂⁵	1	2	yes	—
1282	C₂²×C₄	C₂⁵	1	2	yes	—
1283	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1285	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1286	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1287	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1288	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1289	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1291	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1292	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1293	C₄⋊C₄	—	2	4	no	—
1294	C₄⋊C₄	—	2	4	no	—
1295	C₄⋊C₄	—	2	4	no	—
1296	C₄⋊C₄	—	2	2	no	—
1297	C₄⋊C₄	—	2	2	no	—
1298	C₄⋊C₄	—	2	2	no	—
1299	C₄⋊C₄	—	2	4	no	—
1300	C₄⋊C₄	—	2	4	no	—
1301	C₄⋊C₄	—	2	4	no	—
1302	C₄⋊C₄	—	2	4	no	—
1303	C₄⋊C₄	—	2	4	no	—
1304	C₄⋊C₄	—	2	4	no	—
1305	C₄⋊C₄	—	2	4	no	—
1306	C₄⋊C₄	—	2	8	no	—
1307	C₄⋊C₄	—	2	8	no	—
1308	C₄⋊C₄	—	2	4	no	—
1309	C₄⋊C₄	—	2	4	no	—
1310	C₄⋊C₄	—	2	4	no	—
1311	C₄⋊C₄	—	2	2	no	—
1312	C₄⋊C₄	—	2	4	no	—
1313	C₄⋊C₄	—	2	4	no	—
1314	C₄⋊C₄	—	2	4	no	—
1315	C₄⋊C₄	—	2	4	no	—
1316	C₄⋊C₄	—	2	4	no	—
1317	C₄⋊C₄	—	2	4	no	—
1318	C₄⋊C₄	—	2	4	no	—
1319	C₄⋊C₄	—	2	4	no	—
1320	C₄⋊C₄	—	4	4	no	—
1321	C₄⋊C₄	—	4	4	no	—
1322	C₄⋊C₄	—	4	4	no	—
1323	C₄⋊C₄	—	4	4	no	—
1324	C₄⋊C₄	—	4	8	no	—
1325	C₄⋊C₄	—	4	8	no	—
1326	C₄⋊C₄	—	4	8	no	—
1327	C₄⋊C₄	—	4	8	no	—
1328	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1329	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1330	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1331	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1332	C₂²⋊C₄	—	2	8	no	—
1333	C₂²⋊C₄	—	2	8	no	—
1334	C₂²⋊C₄	—	2	4	no	—
1335	C₂²⋊C₄	—	2	4	no	—
1336	C₂²⋊C₄	—	2	4	no	—
1337	C₂²⋊C₄	—	2	4	no	—
1338	C₂²⋊C₄	—	2	4	no	—
1339	C₂²⋊C₄	—	2	4	no	—
1340	C₂²⋊C₄	—	2	4	no	—
1341	C₂²⋊C₄	—	2	4	no	—
1342	C₂²⋊C₄	—	2	4	no	—
1343	C₂²⋊C₄	—	2	4	no	—
1344	C₂²⋊C₄	—	2	4	no	—
1345	C₂²⋊C₄	—	2	16	no	—
1346	C₂²⋊C₄	—	2	16	no	—
1347	C₂²⋊C₄	—	2	16	no	—
1348	C₂²⋊C₄	—	2	4	no	—
1349	C₂²⋊C₄	—	2	4	no	—
1350	C₂²⋊C₄	—	2	4	no	—
1351	C₂²⋊C₄	—	2	4	no	—
1352	C₂²⋊C₄	—	2	8	no	—
1353	C₂²⋊C₄	—	2	8	no	—
1354	C₂²⋊C₄	—	2	8	no	—
1355	C₂²⋊C₄	—	2	8	no	—
1356	C₂²⋊C₄	—	2	8	no	—
1357	C₂²⋊C₄	—	2	8	no	—
1358	C₂²⋊C₄	—	2	8	no	—
1359	C₂²⋊C₄	—	2	8	no	—
1360	C₂²⋊C₄	—	2	8	no	—
1361	C₂²⋊C₄	—	2	4	no	—
1362	C₂²⋊C₄	—	2	4	no	—
1363	C₂²⋊C₄	—	2	4	no	—
1364	C₂²⋊C₄	—	2	4	no	—
1365	C₂²⋊C₄	—	2	4	no	—
1366	C₂²⋊C₄	—	2	4	no	—
1367	C₂²⋊C₄	—	4	4	no	—
1368	C₂²⋊C₄	—	4	4	no	—
1369	C₂²⋊C₄	—	4	8	no	—
1370	C₂²⋊C₄	—	4	8	no	—
1371	C₂²⋊C₄	—	4	8	no	—
1372	C₂²⋊C₄	—	4	8	no	—
1373	C₂²⋊C₄	—	4	8	no	—
1374	C₂²⋊C₄	—	4	8	no	—
1375	C₂²⋊C₄	—	4	4	no	—
1376	C₂²⋊C₄	—	4	4	no	—
1377	C₂²⋊C₄	—	4	4	no	—
1378	C₂²⋊C₄	—	4	8	no	—
1379	C₂²⋊C₄	—	4	8	no	—
1380	C₂²⋊C₄	—	4	8	no	—
1381	C₂²⋊C₄	—	4	8	no	—
1382	C₂²⋊C₄	—	4	8	no	—
1383	C₂²⋊C₄	—	4	8	no	—
1384	C₂²⋊C₄	—	4	8	no	—
1385	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1386	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1387	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1388	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1389	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1390	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1391	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1392	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1393	C₄²	—	2	4	no	—
1394	C₄²	—	2	4	no	—
1395	C₄²	—	2	4	no	—
1396	C₄²	—	2	4	no	—
1397	C₄²	—	2	4	no	—
1398	C₄²	—	2	4	no	—
1399	C₄²	—	2	4	no	—
1400	C₄²	—	2	4	no	—
1401	C₄²	—	2	4	no	—
1402	C₄²	—	4	4	no	—
1403	C₄²	—	4	4	no	—
1404	C₄²	—	4	4	no	—
1405	C₄²	—	4	4	no	—
1406	C₄²	C₂²×D₄	1	4	yes	—
1407	C₄²	C₂²×D₄	1	4	yes	—
1408	C₄²	C₂²×D₄	1	4	yes	—
1409	C₄²	C₂²×D₄	1	4	yes	—
1410	C₂³	—	2	2	no	—
1411	C₂³	—	2	2	no	—
1412	C₂³	—	2	2	no	—
1413	C₂³	—	2	2	no	—
1414	C₂³	—	2	16	no	—
1415	C₂³	—	2	4	no	—
1416	C₂³	—	2	2	no	—
1417	C₂³	—	2	2	no	—
1418	C₂³	—	2	2	no	—
1419	C₂³	—	2	4	no	—
1420	C₂³	—	2	8	no	—
1421	C₂³	—	2	2	no	—
1422	C₂³	—	2	2	no	—
1423	C₂³	—	2	2	no	—
1424	C₂³	—	2	8	no	—
1425	C₂³	—	2	2	no	—
1426	C₂³	—	2	2	no	—
1427	C₂³	—	2	2	no	—
1428	C₂³	—	2	8	no	—
1429	C₂³	—	2	8	no	—
1430	C₂³	—	2	8	no	—
1431	C₂³	—	2	2	no	—
1432	C₂³	—	2	4	no	—
1433	C₂³	—	2	4	no	—
1434	C₂³	—	2	4	no	—
1435	C₂³	—	2	4	no	—
1436	C₂³	—	2	8	no	—
1437	C₂³	—	2	4	no	—
1438	C₂³	—	2	8	no	—
1439	C₂³	—	2	4	no	—
1440	C₂³	—	4	4	no	—
1441	C₂³	—	4	4	no	—
1442	C₂³	—	4	4	no	—
1443	C₂³	—	4	32	no	—
1444	C₂³	—	4	16	no	—
1445	C₂³	—	4	16	no	—
1446	C₂³	—	4	16	no	—
1447	C₂³	—	4	32	no	—
1448	C₂³	—	4	8	no	—
1449	C₂³	—	4	8	no	—
1450	C₂³	—	4	8	no	—
1451	C₂³	—	4	16	no	—
1452	C₂³	—	4	8	no	—
1453	C₂³	—	4	16	no	—
1454	C₂³	—	4	8	no	—
1455	C₂³	—	8	8	no	—
1456	C₂³	—	8	16	no	—
1457	C₂³	—	8	16	no	—
1458	C₂³	—	8	8	no	—
1459	C₂³	—	8	16	no	—
1460	C₂³	—	8	8	no	—
1461	C₂³	—	8	16	no	—
1462	C₂³	—	8	128	no	—
1463	C₂³	C₂³×D₄	1	2	yes	—
1464	C₂³	C₂³×D₄	1	2	yes	—
1465	C₂³	C₂³×D₄	1	2	yes	—
1466	C₂³	C₂³×D₄	1	2	yes	—
1467	C₂³	C₂³×D₄	1	2	yes	—
1468	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1469	C₂³	#585	1	4	yes	—
1470	C₂³	#585	1	4	yes	—
1471	C₂³	C₂⁶	1	1	yes	characteristic
1472	Q₈	—	4	8	no	—
1473	Q₈	—	4	8	no	—
1474	Q₈	—	4	8	no	—
1475	Q₈	—	4	4	no	—
1476	Q₈	—	4	4	no	—
1477	Q₈	—	4	4	no	—
1478	Q₈	—	8	4	no	—
1479	Q₈	—	8	4	no	—
1480	D₄	—	2	16	no	—
1481	D₄	—	2	8	no	—
1482	D₄	—	2	8	no	—
1483	D₄	—	2	16	no	—
1484	D₄	—	4	4	no	—
1485	D₄	—	4	4	no	—
1486	D₄	—	4	16	no	—
1487	D₄	—	4	16	no	—
1488	D₄	—	4	8	no	—
1489	D₄	—	4	16	no	—
1490	D₄	—	4	16	no	—
1491	D₄	—	4	8	no	—
1492	D₄	—	4	8	no	—
1493	D₄	—	4	8	no	—
1494	D₄	—	4	8	no	—
1495	D₄	—	4	4	no	—
1496	D₄	—	8	16	no	—
1497	D₄	—	8	8	no	—
1498	D₄	—	8	8	no	—
1499	D₄	—	8	4	no	—
1500	D₄	—	8	4	no	—
1501	D₄	—	16	8	no	—
1502	C₂×C₄	—	2	2	no	—
1503	C₂×C₄	—	2	2	no	—
1504	C₂×C₄	—	2	2	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	2	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	2	no	—
1511	C₂×C₄	—	2	8	no	—
1512	C₂×C₄	—	2	8	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	8	no	—
1515	C₂×C₄	—	2	8	no	—
1516	C₂×C₄	—	2	8	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	2	no	—
1519	C₂×C₄	—	2	2	no	—
1520	C₂×C₄	—	2	2	no	—
1521	C₂×C₄	—	2	2	no	—
1522	C₂×C₄	—	2	2	no	—
1523	C₂×C₄	—	2	4	no	—
1524	C₂×C₄	—	2	4	no	—
1525	C₂×C₄	—	2	2	no	—
1526	C₂×C₄	—	2	4	no	—
1527	C₂×C₄	—	2	4	no	—
1528	C₂×C₄	—	2	4	no	—
1529	C₂×C₄	—	2	4	no	—
1530	C₂×C₄	—	2	4	no	—
1531	C₂×C₄	—	2	4	no	—
1532	C₂×C₄	—	2	4	no	—
1533	C₂×C₄	—	2	4	no	—
1534	C₂×C₄	—	2	4	no	—
1535	C₂×C₄	—	2	4	no	—
1536	C₂×C₄	—	2	4	no	—
1537	C₂×C₄	—	2	4	no	—
1538	C₂×C₄	—	2	4	no	—
1539	C₂×C₄	—	2	4	no	—
1540	C₂×C₄	—	2	4	no	—
1541	C₂×C₄	—	2	4	no	—
1542	C₂×C₄	—	2	4	no	—
1543	C₂×C₄	—	2	4	no	—
1544	C₂×C₄	—	2	4	no	—
1545	C₂×C₄	—	2	4	no	—
1546	C₂×C₄	—	2	4	no	—
1547	C₂×C₄	—	2	8	no	—
1548	C₂×C₄	—	4	4	no	—
1549	C₂×C₄	—	4	4	no	—
1550	C₂×C₄	—	4	4	no	—
1551	C₂×C₄	—	4	4	no	—
1552	C₂×C₄	—	4	4	no	—
1553	C₂×C₄	—	4	4	no	—
1554	C₂×C₄	—	4	4	no	—
1555	C₂×C₄	—	4	16	no	—
1556	C₂×C₄	—	4	16	no	—
1557	C₂×C₄	—	4	8	no	—
1558	C₂×C₄	—	4	8	no	—
1559	C₂×C₄	—	4	8	no	—
1560	C₂×C₄	—	4	8	no	—
1561	C₂×C₄	—	4	8	no	—
1562	C₂×C₄	—	8	8	no	—
1563	C₂×C₄	—	8	8	no	—
1564	C₂×C₄	—	8	4	no	—
1565	C₂×C₄	—	8	4	no	—
1566	C₂×C₄	—	8	8	no	—
1567	C₂×C₄	—	8	4	no	—
1568	C₂×C₄	—	8	4	no	—
1569	C₂×C₄	—	8	8	no	—
1570	C₂×C₄	C₂³×D₄	1	2	yes	—
1571	C₂×C₄	C₂³×D₄	1	2	yes	—
1572	C₂×C₄	C₂³×D₄	1	2	yes	—
1573	C₂×C₄	C₂³×D₄	1	2	yes	—
1574	C₂×C₄	C₂³×D₄	1	2	yes	—
1575	C₂×C₄	C₂³×D₄	1	2	yes	—
1576	C₂×C₄	C₂³×D₄	1	2	yes	—
1577	C₂×C₄	C₂³×D₄	1	2	yes	—
1578	C₂×C₄	C₂³×D₄	1	2	yes	—
1579	C₂×C₄	C₂³×D₄	1	2	yes	—
1580	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1581	C₂²	—	2	8	no	—
1582	C₂²	—	2	8	no	—
1583	C₂²	—	2	2	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	2	no	—
1586	C₂²	—	2	2	no	—
1587	C₂²	—	2	16	no	—
1588	C₂²	—	2	2	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	2	no	—
1591	C₂²	—	2	8	no	—
1592	C₂²	—	2	2	no	—
1593	C₂²	—	2	2	no	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	2	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	4	16	no	—
1599	C₂²	—	4	32	no	—
1600	C₂²	—	4	4	no	—
1601	C₂²	—	4	8	no	—
1602	C₂²	—	4	4	no	—
1603	C₂²	—	4	4	no	—
1604	C₂²	—	4	4	no	—
1605	C₂²	—	4	4	no	—
1606	C₂²	—	4	8	no	—
1607	C₂²	—	4	8	no	—
1608	C₂²	—	4	8	no	—
1609	C₂²	—	4	2	no	—
1610	C₂²	—	4	4	no	—
1611	C₂²	—	4	2	no	—
1612	C₂²	—	4	4	no	—
1613	C₂²	—	4	2	no	—
1614	C₂²	—	4	4	no	—
1615	C₂²	—	8	8	no	—
1616	C₂²	—	8	32	no	—
1617	C₂²	—	8	16	no	—
1618	C₂²	—	8	32	no	—
1619	C₂²	#3449	1	4	yes	—
1620	C₂²	#3500	1	4	yes	—
1621	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1622	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1623	C₂²	C₂×#585	1	2	yes	—
1624	C₂²	C₂×#585	1	2	yes	—
1625	C₄	—	2	2	no	—
1626	C₄	—	2	2	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	—	2	2	no	—
1630	C₄	—	2	2	no	—
1631	C₄	—	2	2	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	2	2	no	—
1634	C₄	—	4	4	no	—
1635	C₄	—	4	4	no	—
1636	C₄	—	4	4	no	—
1637	C₄	—	4	4	no	—
1638	C₄	—	4	4	no	—
1639	C₄	—	4	2	no	—
1640	C₄	—	4	2	no	—
1641	C₄	—	4	2	no	—
1642	C₄	—	4	4	no	—
1643	C₄	—	4	2	no	—
1644	C₄	—	4	2	no	—
1645	C₄	—	4	2	no	—
1646	C₄	—	4	2	no	—
1647	C₄	#3484	1	4	yes	—
1648	C₂	—	2	4	no	—
1649	C₂	—	2	4	no	—
1650	C₂	—	4	8	no	—
1651	C₂	—	4	2	no	—
1652	C₂	—	4	2	no	—
1653	C₂	—	4	2	no	—
1654	C₂	—	8	2	no	—
1655	C₂	—	8	4	no	—
1656	C₂	C₂×#3449	1	1	yes	characteristic
1657	C₂	C₂×#3484	1	1	yes	characteristic
1658	C₂	C₂×#3500	1	1	yes	characteristic
1659	C₂	#63017	1	4	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. C₂×#3520	C₂	semidirect
2. C₂²×#546	C₂	semidirect
3. #42387	C₂	semidirect
4. #40502	C₂	semidirect
5. #40492	C₂	semidirect
6. #39357	C₂	semidirect
7. #39116	C₂	semidirect
8. #38947	C₂	semidirect
9. #38094	C₂	semidirect
10. #38082	C₂	semidirect
11. #37840	C₂	semidirect
12. #37832	C₂	semidirect
13. #37682	C₂	semidirect
14. #37676	C₂	semidirect
15. #37537	C₂	semidirect
16. #37453	C₂	semidirect
17. #37448	C₂	semidirect
18. #36386	C₂	semidirect
19. #36158	C₂	semidirect
20. #36124	C₂	semidirect
21. #35729	C₂	semidirect
22. #35305	C₂	semidirect
23. #35233	C₂	semidirect
24. #35222	C₂	semidirect
25. #35131	C₂	semidirect
26. #35085	C₂	semidirect
27. #35019	C₂	semidirect
28. #34946	C₂	semidirect
29. #34738	C₂	semidirect
30. C₂×#2435	C₂	semidirect
31. #34126	C₂	semidirect
35. C₂×#556	C₂²	semidirect
36. C₂×#554	C₂²	semidirect
37. C₂×#552	C₂²	semidirect
38. C₂×#552	C₂²	semidirect
40. C₂×#551	C₂²	semidirect
41. C₂×D₄×Q₈	C₂²	semidirect
42. C₂×#548	C₂²	semidirect
43. C₂×#548	C₂²	semidirect
44. C₂×#547	C₂²	semidirect
45. C₂×#547	C₂²	semidirect
56. C₂×#542	C₂²	semidirect
57. C₂×#539	C₂²	semidirect
58. C₂×#539	C₂²	semidirect
59. C₂×#536	C₂²	semidirect
60. C₂×#535	C₂²	semidirect
61. C₂×#533	C₂²	semidirect
62. C₂×#532	C₂²	semidirect
63. C₂×#529	C₂²	semidirect
65. C₂²×#124	C₂²	semidirect
67. C₂×#525	C₂²	semidirect
71. C₂²×C₂²⋊Q₈	C₂²	semidirect
75. C₂×#520	C₂²	semidirect
79. #2861	C₂²	semidirect
80. #2858	C₂²	semidirect
81. #2857	C₂²	semidirect
82. #2850	C₂²	semidirect
83. #2850	C₂²	semidirect
84. #2850	C₂²	semidirect
85. #2849	C₂²	semidirect
86. #2848	C₂²	semidirect
88. #2820	C₂²	semidirect
89. #2817	C₂²	semidirect
90. #2813	C₂²	semidirect
91. #2707	C₂²	semidirect
92. #2703	C₂²	semidirect
93. #2697	C₂²	semidirect
94. #2696	C₂²	semidirect
95. #2691	C₂²	semidirect
96. #2684	C₂²	semidirect
97. #2681	C₂²	semidirect
98. #2678	C₂²	semidirect
99. #2674	C₂²	semidirect
100. #2672	C₂²	semidirect
101. #2671	C₂²	semidirect
102. #2668	C₂²	semidirect
103. #2663	C₂²	semidirect
104. #2662	C₂²	semidirect
105. #2658	C₂²	semidirect
106. #2640	C₂²	semidirect
107. #2639	C₂²	semidirect
108. #2636	C₂²	semidirect
109. #2635	C₂²	semidirect
110. #2632	C₂²	semidirect
111. #2627	C₂²	semidirect
112. #2627	C₂²	semidirect
113. #2626	C₂²	semidirect
114. #2621	C₂²	semidirect
115. #2621	C₂²	semidirect
116. #2620	C₂²	semidirect
117. #2619	C₂²	semidirect
118. #2616	C₂²	semidirect
119. #2613	C₂²	semidirect
120. #2613	C₂²	semidirect
121. #2610	C₂²	semidirect
122. #2598	C₂²	semidirect
123. #2591	C₂²	semidirect
124. #2566	C₂²	semidirect
125. #2564	C₂²	semidirect
126. #2563	C₂²	semidirect
127. #2562	C₂²	semidirect
128. #2561	C₂²	semidirect
129. #2561	C₂²	semidirect
130. #2559	C₂²	semidirect
131. #2558	C₂²	semidirect
132. #2555	C₂²	semidirect
133. #2547	C₂²	semidirect
134. #2545	C₂²	semidirect
135. #2545	C₂²	semidirect
136. #2545	C₂²	semidirect
137. #2544	C₂²	semidirect
138. #2544	C₂²	semidirect
139. #2534	C₂²	semidirect
140. #2534	C₂²	semidirect
141. #2534	C₂²	semidirect
142. #2504	C₂²	semidirect
143. #2503	C₂²	semidirect
144. #2503	C₂²	semidirect
145. #2503	C₂²	semidirect
146. #2503	C₂²	semidirect
147. #2501	C₂²	semidirect
148. #2500	C₂²	semidirect
149. #2499	C₂²	semidirect
151. #2482	C₂²	semidirect
152. #2480	C₂²	semidirect
153. #2480	C₂²	semidirect
154. #2476	C₂²	semidirect
155. #2472	C₂²	semidirect
156. #2464	C₂²	semidirect
157. #2461	C₂²	semidirect
158. #2458	C₂²	semidirect
159. #2443	C₂²	semidirect
160. #2437	C₂²	semidirect
161. #2436	C₂²	semidirect
162. #2436	C₂²	semidirect
170. #2435	C₂²	semidirect
171. #2435	C₂²	semidirect
172. #2435	C₂²	semidirect
173. #2435	C₂²	semidirect
174. #2434	C₂²	semidirect
175. #2434	C₂²	semidirect
176. #2434	C₂²	semidirect
177. #2434	C₂²	semidirect
180. #2433	C₂²	semidirect
181. #2432	C₂²	semidirect
182. #2432	C₂²	semidirect
183. #2432	C₂²	semidirect
184. #2432	C₂²	semidirect
185. #2431	C₂²	semidirect
186. #2431	C₂²	semidirect
187. #2430	C₂²	semidirect
188. #2424	C₂²	semidirect
189. #2418	C₂²	semidirect
190. #2418	C₂²	semidirect
192. #2412	C₂²	semidirect
193. #2411	C₂²	semidirect
194. #2410	C₂²	semidirect
196. #2408	C₂²	semidirect
197. #2406	C₂²	semidirect
198. #2405	C₂²	semidirect
199. #2404	C₂²	semidirect
200. #2398	C₂²	semidirect
201. #2388	C₂²	semidirect
202. C₂×#394	C₂²	semidirect
203. #2358	C₂²	semidirect
204. #2357	C₂²	semidirect
205. #2353	C₂²	semidirect
206. #2353	C₂²	semidirect
207. #2349	C₂²	semidirect
208. #2345	C₂²	semidirect
210. #2342	C₂²	semidirect
211. #2342	C₂²	semidirect
213. #2328	C₂²	semidirect
214. #2326	C₂²	semidirect
215. #2322	C₂²	semidirect
216. #2321	C₂²	semidirect
217. #2311	C₂²	semidirect
218. #2309	C₂²	semidirect
219. #2308	C₂²	semidirect
220. C₄×#124	C₂²	semidirect
221. C₄×#124	C₂²	semidirect
222. C₄×#120	C₂²	semidirect
223. #2297	C₂²	semidirect
224. #2293	C₂²	semidirect
225. C₂×#390	C₂²	semidirect
226. #2290	C₂²	semidirect
227. #2290	C₂²	semidirect
228. #2283	C₂²	semidirect
230. #2280	C₂²	semidirect
231. #2280	C₂²	semidirect
233. C₄²×D₄	C₂²	semidirect
234. C₄×#117	C₂²	semidirect
236. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
246. C₂²×#41	C₂³	semidirect
249. C₂³×Q₈	C₂³	semidirect
293. C₂×C₄⋊Q₈	C₂³	semidirect
294. C₂×C₄⋊Q₈	C₂³	semidirect
295. C₂×C₄⋊Q₈	C₂³	semidirect
296. C₂×C₄⋊Q₈	C₂³	semidirect
297. C₂×C₄⋊Q₈	C₂³	semidirect
298. C₂×C₄⋊Q₈	C₂³	semidirect
304. C₂×#126	C₂³	semidirect
305. C₂×#126	C₂³	semidirect
306. C₂×#126	C₂³	semidirect
307. C₂×#125	C₂³	semidirect
308. C₂×#125	C₂³	semidirect
309. C₂×#125	C₂³	semidirect
310. C₂×#125	C₂³	semidirect
326. C₂×#124	C₂³	semidirect
327. C₂×#124	C₂³	semidirect
328. C₂×#124	C₂³	semidirect
343. C₂×#123	C₂³	semidirect
344. C₂×#123	C₂³	semidirect
345. C₂×#123	C₂³	semidirect
346. C₂×#123	C₂³	semidirect
365. C₂×C₂²⋊Q₈	C₂³	semidirect
366. C₂×C₂²⋊Q₈	C₂³	semidirect
367. C₂×C₂²⋊Q₈	C₂³	semidirect
368. C₂×C₂²⋊Q₈	C₂³	semidirect
369. C₂×C₂²⋊Q₈	C₂³	semidirect
370. C₂×C₂²⋊Q₈	C₂³	semidirect
371. C₂×C₂²⋊Q₈	C₂³	semidirect
372. C₂×C₂²⋊Q₈	C₂³	semidirect
373. C₂×C₂²⋊Q₈	C₂³	semidirect
390. C₂×#121	C₂³	semidirect
391. C₂×#121	C₂³	semidirect
404. C₂×C₄×Q₈	C₂³	semidirect
405. C₂×C₄×Q₈	C₂³	semidirect
406. C₂×C₄×Q₈	C₂³	semidirect
407. C₂×C₄×Q₈	C₂³	semidirect
408. C₂×C₄×Q₈	C₂³	semidirect
410. C₂×C₄×D₄	D₄	semidirect
430. C₂×C₄×D₄	C₂³	semidirect
431. C₂×C₄×D₄	C₂³	semidirect
432. C₂×C₄×D₄	C₂³	semidirect
433. C₂×C₄×D₄	C₂³	semidirect
439. C₂×#117	C₂³	semidirect
440. C₂×#117	C₂³	semidirect
441. C₂×#117	C₂³	semidirect
442. C₂×#117	C₂³	semidirect
448. C₂²×C₄⋊C₄	C₂³	semidirect
449. C₂²×C₄⋊C₄	C₂³	semidirect
450. C₂²×C₄⋊C₄	C₂³	semidirect
471. C₂²×C₄²	C₂³	semidirect
472. #400	C₂³	semidirect
473. #400	C₂³	semidirect
474. #400	C₂³	semidirect
475. #400	C₂³	semidirect
476. #399	C₂³	semidirect
477. #399	C₂³	semidirect
478. #399	C₂³	semidirect
479. #398	C₂³	semidirect
480. #398	C₂³	semidirect
484. #397	C₂³	semidirect
485. #397	C₂³	semidirect
486. #397	C₂³	semidirect
487. #396	C₂³	semidirect
488. #396	C₂³	semidirect
489. #396	C₂³	semidirect
490. #396	C₂³	semidirect
491. #396	C₂³	semidirect
492. #395	C₂³	semidirect
493. #395	C₂³	semidirect
494. #395	C₂³	semidirect
495. #395	C₂³	semidirect
506. #394	C₂³	semidirect
507. #394	C₂³	semidirect
508. #394	C₂³	semidirect
509. #394	C₂³	semidirect
510. #394	C₂³	semidirect
511. #394	C₂³	semidirect
512. #394	C₂³	semidirect
513. #394	C₂³	semidirect
514. #393	C₂³	semidirect
515. #393	C₂³	semidirect
516. #393	C₂³	semidirect
517. #393	C₂³	semidirect
521. #392	C₂³	semidirect
522. #392	C₂³	semidirect
523. #392	C₂³	semidirect
524. #391	C₂³	semidirect
525. #391	C₂³	semidirect
526. #391	C₂³	semidirect
527. #391	C₂³	semidirect
528. #391	C₂³	semidirect
529. #391	C₂³	semidirect
530. #391	C₂³	semidirect
542. #390	C₂³	semidirect
543. #390	C₂³	semidirect
544. #390	C₂³	semidirect
545. #389	C₂³	semidirect
546. #389	C₂³	semidirect
549. #388	C₂³	semidirect
550. #388	C₂³	semidirect
551. #388	C₂³	semidirect
552. #388	C₂³	semidirect
553. #388	C₂³	semidirect
554. #388	C₂³	semidirect
555. #388	C₂³	semidirect
556. #388	C₂³	semidirect
557. #388	C₂³	semidirect
558. #388	C₂³	semidirect
559. #388	C₂³	semidirect
560. #388	C₂³	semidirect
561. #388	C₂³	semidirect
562. #388	C₂³	semidirect
563. #387	C₂³	semidirect
564. #387	C₂³	semidirect
565. #387	C₂³	semidirect
570. #386	C₂³	semidirect
571. #386	C₂³	semidirect
572. #386	C₂³	semidirect
573. #386	C₂³	semidirect
574. #386	C₂³	semidirect
575. #386	C₂³	semidirect
576. #386	C₂³	semidirect
577. #386	C₂³	semidirect
578. #386	C₂³	semidirect
579. #386	C₂³	semidirect
580. #386	C₂³	semidirect
581. #386	C₂³	semidirect
587. #385	C₂³	semidirect
588. #385	C₂³	semidirect
589. #385	C₂³	semidirect
590. #385	C₂³	semidirect
591. #385	C₂³	semidirect
592. #385	C₂³	semidirect
593. #385	C₂³	semidirect
594. #384	C₂³	semidirect
595. #383	C₂³	semidirect
596. #382	C₂³	semidirect
597. #382	C₂³	semidirect
598. #382	C₂³	semidirect
599. #382	C₂³	semidirect
606. #381	C₂³	semidirect
612. #380	C₂³	semidirect
613. #380	C₂³	semidirect
614. #380	C₂³	semidirect
615. #380	C₂³	semidirect
628. C₄×C₄⋊C₄	C₂³	semidirect
629. C₄×C₄⋊C₄	C₂³	semidirect
630. C₄×C₄⋊C₄	C₂³	semidirect
631. C₄×C₄⋊C₄	C₂³	semidirect
643. C₄×C₂²⋊C₄	C₂³	semidirect
644. C₄×C₂²⋊C₄	C₂³	semidirect
645. C₄×C₂²⋊C₄	C₂³	semidirect
646. C₄×C₂²⋊C₄	C₂³	semidirect
647. C₄×C₂²⋊C₄	C₂³	semidirect
648. C₄×C₂²⋊C₄	C₂³	semidirect
649. C₄×C₂²⋊C₄	C₂³	semidirect
650. #376	C₂³	semidirect
651. #376	C₂³	semidirect
653. C₂×#95	C₂³	semidirect
654. C₄³	C₂³	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3520	2
C₂²×#546	2
#42387	2
#40502	2
#40492	2
#39357	2
#39116	2
#38947	2
#38094	2
#38082	2
#37840	2
#37832	2
#37682	2
#37676	2
#37537	2
#37453	2
#37448	2
#36386	2
#36158	2
#36124	2
#35729	2
#35305	2
#35233	2
#35222	2
#35131	2
#35085	2
#35019	2
#34946	2
#34738	2
C₂×#2435	2
#34126	2