Subgroups — #7712839

Order 512.

5226 conjugacy classes of subgroups.

The subgroup lattice has 1479 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#48839	C₂	1	2	yes	maximal, complemented
2	#48838	C₂	1	2	yes	maximal, complemented
3	#47963	C₂	1	4	yes	maximal, complemented
4	#47962	C₂	1	2	yes	maximal, complemented
5	#47961	C₂	1	4	yes	maximal, complemented
6	#47960	C₂	1	2	yes	maximal, complemented
7	#47018	C₂	1	2	yes	maximal, complemented
8	#46842	C₂	1	2	yes	maximal, complemented
9	#46434	C₂	1	2	yes	maximal, complemented
10	#46433	C₂	1	4	yes	maximal, complemented
11	#46433	C₂	1	4	yes	maximal, complemented
12	#46431	C₂	1	2	yes	maximal, complemented
13	#38962	C₂	1	4	yes	maximal, complemented
14	#38959	C₂	1	4	yes	maximal, complemented
15	#37876	C₂	1	2	yes	maximal, complemented
16	#37872	C₂	1	2	yes	maximal, complemented
17	#37688	C₂	1	2	yes	maximal, complemented
18	#37684	C₂	1	2	yes	maximal, complemented
19	#37475	C₂	1	2	yes	maximal, complemented
20	#36748	C₂	1	2	yes	maximal, complemented
21	#36747	C₂	1	2	yes	maximal, complemented
22	#35172	C₂	1	1	yes	maximal, characteristic, complemented
23	#35012	C₂	1	2	yes	maximal, complemented
24	#35010	C₂	1	1	yes	maximal, characteristic, complemented
25	#34982	C₂	1	2	yes	maximal, complemented
26	#34356	C₂	1	2	yes	maximal
27	C₂×#2321	C₂	1	1	yes	maximal, characteristic
28	C₂×#543	C₂²	1	2	yes	—
29	C₂×#533	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#120	C₂²	1	1	yes	characteristic
32	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
33	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
34	#2855	C₂²	1	2	yes	complemented
35	#2851	C₂²	1	4	yes	complemented
36	#2848	C₂²	1	2	yes	—
37	#2848	C₂²	1	4	yes	—
38	#2848	C₂²	1	2	yes	—
39	#2848	C₂²	1	2	yes	complemented
40	#2842	C₂²	1	2	yes	complemented
41	#2842	C₂²	1	4	yes	complemented
42	#2840	C₂²	1	2	yes	complemented
43	#2807	C₂²	1	2	yes	complemented
44	#2804	C₂²	1	2	yes	complemented
45	#2790	C₂²	1	4	yes	complemented
46	#2790	C₂²	1	4	yes	complemented
47	#2790	C₂²	1	4	yes	complemented
48	#2788	C₂²	1	4	yes	complemented
49	#2788	C₂²	1	4	yes	complemented
50	#2784	C₂²	1	4	yes	complemented
51	#2784	C₂²	1	4	yes	complemented
52	#2784	C₂²	1	4	yes	complemented
53	#2784	C₂²	1	4	yes	complemented
54	#2780	C₂²	1	4	yes	complemented
55	#2780	C₂²	1	4	yes	complemented
56	#2780	C₂²	1	4	yes	complemented
57	#2780	C₂²	1	4	yes	complemented
58	#2780	C₂²	1	4	yes	complemented
59	#2768	C₂²	1	4	yes	complemented
60	#2768	C₂²	1	4	yes	complemented
61	#2768	C₂²	1	4	yes	complemented
62	#2768	C₂²	1	4	yes	complemented
63	#2763	C₂²	1	4	yes	complemented
64	#2763	C₂²	1	4	yes	complemented
65	#2763	C₂²	1	2	yes	complemented
66	#2748	C₂²	1	4	yes	complemented
67	#2748	C₂²	1	2	yes	complemented
68	#2748	C₂²	1	4	yes	complemented
69	#2748	C₂²	1	2	yes	complemented
70	#2748	C₂²	1	4	yes	complemented
71	#2742	C₂²	1	4	yes	complemented
72	#2742	C₂²	1	2	yes	complemented
73	#2732	C₂²	1	4	yes	complemented
74	#2732	C₂²	1	4	yes	complemented
75	#2729	C₂²	1	4	yes	complemented
76	#2729	C₂²	1	4	yes	complemented
77	#2720	C₂²	1	4	yes	complemented
78	#2720	C₂²	1	4	yes	complemented
79	#2720	C₂²	1	4	yes	complemented
80	#2720	C₂²	1	4	yes	complemented
81	#2704	C₂²	1	4	yes	complemented
82	#2704	C₂²	1	4	yes	complemented
83	#2704	C₂²	1	4	yes	complemented
84	#2692	C₂²	1	4	yes	complemented
85	#2692	C₂²	1	4	yes	complemented
86	#2692	C₂²	1	4	yes	complemented
87	#2692	C₂²	1	4	yes	complemented
88	#2692	C₂²	1	4	yes	complemented
89	#2692	C₂²	1	4	yes	complemented
90	#2692	C₂²	1	4	yes	complemented
91	#2683	C₂²	1	4	yes	complemented
92	#2683	C₂²	1	2	yes	complemented
93	#2677	C₂²	1	4	yes	complemented
94	#2677	C₂²	1	2	yes	complemented
95	#2659	C₂²	1	2	yes	complemented
96	#2659	C₂²	1	2	yes	complemented
97	#2627	C₂²	1	2	yes	complemented
98	#2626	C₂²	1	4	yes	—
99	#2626	C₂²	1	2	yes	—
100	#2626	C₂²	1	2	yes	—
101	#2626	C₂²	1	2	yes	—
102	#2626	C₂²	1	4	yes	—
103	#2626	C₂²	1	2	yes	—
104	#2626	C₂²	1	4	yes	complemented
105	#2626	C₂²	1	4	yes	complemented
106	#2626	C₂²	1	4	yes	complemented
107	#2626	C₂²	1	4	yes	complemented
108	#2626	C₂²	1	2	yes	complemented
109	#2589	C₂²	1	4	yes	complemented
110	#2589	C₂²	1	4	yes	complemented
111	#2587	C₂²	1	4	yes	complemented
112	#2587	C₂²	1	4	yes	complemented
113	#2580	C₂²	1	4	yes	complemented
114	#2580	C₂²	1	2	yes	complemented
115	#2580	C₂²	1	2	yes	complemented
116	#2579	C₂²	1	4	yes	complemented
117	#2579	C₂²	1	2	yes	complemented
118	#2579	C₂²	1	2	yes	complemented
119	#2574	C₂²	1	4	yes	complemented
120	#2574	C₂²	1	4	yes	complemented
121	#2574	C₂²	1	4	yes	complemented
122	#2574	C₂²	1	4	yes	complemented
123	#2574	C₂²	1	4	yes	complemented
124	#2569	C₂²	1	4	yes	complemented
125	#2566	C₂²	1	4	yes	complemented
126	#2566	C₂²	1	2	yes	complemented
127	#2566	C₂²	1	2	yes	complemented
128	#2564	C₂²	1	2	yes	complemented
129	#2564	C₂²	1	4	yes	complemented
130	#2564	C₂²	1	2	yes	complemented
131	#2563	C₂²	1	4	yes	complemented
132	#2563	C₂²	1	1	yes	characteristic, complemented
133	#2563	C₂²	1	1	yes	characteristic, complemented
134	#2556	C₂²	1	4	yes	complemented
135	#2556	C₂²	1	4	yes	complemented
136	#2556	C₂²	1	4	yes	complemented
137	#2549	C₂²	1	4	yes	complemented
138	#2542	C₂²	1	1	yes	characteristic, complemented
139	#2542	C₂²	1	1	yes	characteristic, complemented
140	#2538	C₂²	1	4	yes	complemented
141	#2538	C₂²	1	2	yes	complemented
142	#2538	C₂²	1	2	yes	complemented
143	#2522	C₂²	1	4	yes	complemented
144	#2522	C₂²	1	4	yes	complemented
145	#2522	C₂²	1	4	yes	complemented
146	#2497	C₂²	1	4	yes	complemented
147	#2487	C₂²	1	1	yes	characteristic, complemented
148	#2487	C₂²	1	1	yes	characteristic, complemented
149	#2465	C₂²	1	4	yes	complemented
150	#2465	C₂²	1	4	yes	complemented
151	#2465	C₂²	1	4	yes	complemented
152	#2465	C₂²	1	4	yes	complemented
153	#2465	C₂²	1	4	yes	complemented
154	#2454	C₂²	1	4	yes	complemented
155	#2454	C₂²	1	4	yes	complemented
156	#2454	C₂²	1	4	yes	complemented
157	#2452	C₂²	1	4	yes	complemented
158	#2450	C₂²	1	4	yes	complemented
159	#2449	C₂²	1	4	yes	complemented
160	#2449	C₂²	1	4	yes	complemented
161	#2449	C₂²	1	4	yes	complemented
162	#2442	C₂²	1	4	yes	complemented
163	#2440	C₂²	1	4	yes	complemented
164	#2438	C₂²	1	4	yes	complemented
165	#2438	C₂²	1	4	yes	complemented
166	#2437	C₂²	1	4	yes	—
167	#2437	C₂²	1	4	yes	—
168	#2437	C₂²	1	4	yes	—
169	#2437	C₂²	1	4	yes	—
170	#2437	C₂²	1	4	yes	complemented
171	#2437	C₂²	1	4	yes	complemented
172	#2437	C₂²	1	4	yes	complemented
173	#2437	C₂²	1	4	yes	complemented
174	#2437	C₂²	1	4	yes	complemented
175	#2437	C₂²	1	2	yes	complemented
176	#2437	C₂²	1	4	yes	complemented
177	#2437	C₂²	1	4	yes	complemented
178	#2437	C₂²	1	4	yes	complemented
179	#2437	C₂²	1	4	yes	complemented
180	#2437	C₂²	1	2	yes	complemented
181	#2437	C₂²	1	4	yes	complemented
182	#2437	C₂²	1	4	yes	complemented
183	#2429	C₂²	1	4	yes	complemented
184	#2423	C₂²	1	4	yes	complemented
185	#2423	C₂²	1	4	yes	complemented
186	#2417	C₂²	1	4	yes	complemented
187	#2417	C₂²	1	2	yes	complemented
188	#2417	C₂²	1	2	yes	complemented
189	#2409	C₂²	1	4	yes	complemented
190	#2409	C₂²	1	1	yes	characteristic, complemented
191	#2409	C₂²	1	1	yes	characteristic, complemented
192	#2375	C₂²	1	2	yes	—
193	#2375	C₂²	1	4	yes	—
194	#2375	C₂²	1	2	yes	—
195	#2358	C₂²	1	2	yes	—
196	#2358	C₂²	1	4	yes	—
197	#2358	C₂²	1	2	yes	—
198	#2342	C₂²	1	4	yes	—
199	#2342	C₂²	1	4	yes	—
200	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
201	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
202	#2329	C₂²	1	2	yes	complemented
203	#2329	C₂²	1	2	yes	complemented
204	#2321	C₂²	1	2	yes	—
205	#2321	C₂²	1	2	yes	—
206	#2321	C₂²	1	2	yes	—
207	#2321	C₂²	1	2	yes	—
208	#2321	C₂²	1	2	yes	—
209	#2321	C₂²	1	2	yes	—
210	#2321	C₂²	1	2	yes	—
211	#2321	C₂²	1	2	yes	—
212	#2321	C₂²	1	4	yes	—
213	#2321	C₂²	1	4	yes	—
214	#2321	C₂²	1	4	yes	—
215	#2321	C₂²	1	4	yes	—
216	#2317	C₂²	1	2	yes	complemented
217	#2315	C₂²	1	4	yes	—
218	#2315	C₂²	1	2	yes	—
219	#2315	C₂²	1	2	yes	complemented
220	#2312	C₂²	1	4	yes	—
221	#2309	C₂²	1	2	yes	—
222	#2308	C₂²	1	2	yes	—
223	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
224	C₂×#390	C₂²	1	2	yes	—
225	C₂×#388	C₂²	1	2	yes	—
226	C₂×#388	C₂²	1	2	yes	—
227	C₂×#386	C₂²	1	2	yes	—
228	C₂×#386	C₂²	1	1	yes	characteristic
229	C₂×#385	C₂²	1	1	yes	characteristic
230	#2285	C₂²	1	1	yes	characteristic, complemented
231	C₂×#380	C₂²	1	1	yes	characteristic, complemented
232	C₂×#379	C₂²	1	1	yes	characteristic
233	C₂×#379	C₂²	1	4	yes	—
234	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	2	yes	—
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	1	yes	characteristic
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	#543	—	4	8	no	—
243	#533	—	4	4	no	—
244	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
247	C₂×#125	C₂³	1	2	yes	complemented
248	C₂×#125	C₂³	1	4	yes	complemented
249	C₂×#125	C₂³	1	4	yes	complemented
250	C₂×C₂²⋊Q₈	—	4	4	no	—
251	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
258	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
260	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
261	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
262	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
263	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
264	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
265	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
269	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
271	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
272	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
273	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
274	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
275	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
276	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
277	C₂×#120	Q₈	1	16	yes	complemented
278	C₂×#120	C₂³	1	2	yes	—
279	C₂×#120	C₂³	1	2	yes	—
280	C₂×#120	C₂³	1	2	yes	—
281	C₂×#120	C₂³	1	2	yes	—
282	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
283	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
284	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
285	C₂×C₄×D₄	—	4	4	no	—
286	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
287	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
288	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
289	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
290	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
291	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
292	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
293	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
294	C₂×C₄×D₄	C₂³	1	4	yes	—
295	C₂×C₄×D₄	C₂³	1	4	yes	—
296	C₂×C₄×D₄	C₂³	1	4	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×#117	C₂³	1	2	yes	—
299	C₂×#117	C₂³	1	2	yes	—
300	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
303	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
304	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
305	C₂²×C₂²⋊C₄	—	4	4	no	—
306	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂²×C₄²	C₂³	1	1	yes	characteristic
329	C₂²×C₄²	C₂³	1	2	yes	—
330	#400	C₂³	1	4	yes	complemented
331	#400	C₂³	1	2	yes	complemented
332	#400	C₂³	1	2	yes	complemented
333	#400	C₂³	1	4	yes	complemented
334	#400	C₂³	1	4	yes	complemented
335	#400	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#400	C₂³	1	4	yes	complemented
338	#399	C₂³	1	2	yes	—
339	#399	C₂³	1	2	yes	—
340	#399	C₂³	1	4	yes	—
341	#399	C₂³	1	2	yes	—
342	#399	C₂³	1	2	yes	—
343	#399	C₂³	1	4	yes	—
344	#399	C₂³	1	4	yes	—
345	#399	C₂³	1	4	yes	—
346	#399	C₂³	1	4	yes	—
347	#399	C₂³	1	4	yes	—
348	#399	C₂³	1	4	yes	—
349	#399	C₂³	1	4	yes	—
350	#399	C₂³	1	4	yes	—
351	#399	C₂³	1	4	yes	—
352	#399	C₂³	1	2	yes	complemented
353	#399	C₂³	1	2	yes	complemented
354	#399	C₂³	1	4	yes	complemented
355	#399	C₂³	1	4	yes	complemented
356	#398	C₂³	1	4	yes	complemented
357	#398	C₂³	1	4	yes	complemented
358	#398	C₂³	1	4	yes	complemented
359	#398	C₂³	1	4	yes	complemented
360	#398	C₂³	1	4	yes	complemented
361	#398	C₂³	1	4	yes	complemented
362	#398	C₂³	1	4	yes	complemented
363	#398	C₂³	1	4	yes	complemented
364	#398	C₂³	1	4	yes	complemented
365	#398	C₂³	1	4	yes	complemented
366	#398	C₂³	1	4	yes	complemented
367	#398	C₂³	1	4	yes	complemented
368	#398	C₂³	1	4	yes	complemented
369	#398	C₂³	1	4	yes	complemented
370	#398	C₂³	1	4	yes	complemented
371	#398	C₂³	1	4	yes	complemented
372	#398	C₂³	1	4	yes	complemented
373	#398	C₂³	1	4	yes	complemented
374	#396	C₂³	1	4	yes	—
375	#396	C₂³	1	4	yes	—
376	#396	C₂³	1	4	yes	—
377	#396	C₂³	1	4	yes	—
378	#396	C₂³	1	4	yes	—
379	#396	C₂³	1	4	yes	—
380	#396	C₂³	1	4	yes	—
381	#396	C₂³	1	4	yes	—
382	#396	C₂³	1	4	yes	—
383	#396	C₂³	1	4	yes	—
384	#396	C₂³	1	4	yes	—
385	#396	C₂³	1	4	yes	—
386	#396	C₂³	1	4	yes	—
387	#396	C₂³	1	4	yes	—
388	#396	C₂³	1	4	yes	—
389	#396	C₂³	1	4	yes	—
390	#396	C₂³	1	4	yes	—
391	#396	C₂³	1	4	yes	—
392	#396	C₂³	1	4	yes	—
393	#396	C₂³	1	4	yes	—
394	#396	C₂³	1	4	yes	—
395	#396	C₂³	1	4	yes	—
396	#396	C₂³	1	4	yes	—
397	#396	C₂³	1	4	yes	—
398	#396	C₂³	1	4	yes	complemented
399	#396	C₂³	1	4	yes	complemented
400	#396	C₂³	1	4	yes	complemented
401	#396	C₂³	1	4	yes	complemented
402	#396	C₂³	1	4	yes	complemented
403	#396	C₂³	1	4	yes	complemented
404	#395	C₂³	1	2	yes	complemented
405	#395	C₂³	1	4	yes	complemented
406	#395	C₂³	1	2	yes	complemented
407	#395	C₂³	1	4	yes	complemented
408	#395	C₂³	1	4	yes	complemented
409	#395	C₂³	1	4	yes	complemented
410	#395	C₂³	1	4	yes	complemented
411	#395	C₂³	1	4	yes	complemented
412	#395	C₂³	1	4	yes	complemented
413	#395	C₂³	1	4	yes	complemented
414	#395	C₂³	1	4	yes	complemented
415	#395	C₂³	1	4	yes	complemented
416	#393	C₂³	1	2	yes	—
417	#393	C₂³	1	2	yes	—
418	#393	C₂³	1	4	yes	—
419	#393	C₂³	1	4	yes	—
420	#393	C₂³	1	2	yes	—
421	#393	C₂³	1	4	yes	—
422	#393	C₂³	1	2	yes	—
423	#393	C₂³	1	4	yes	—
424	#393	C₂³	1	4	yes	—
425	#393	C₂³	1	4	yes	—
426	#393	C₂³	1	4	yes	—
427	#393	C₂³	1	4	yes	—
428	#393	C₂³	1	4	yes	—
429	#393	C₂³	1	4	yes	—
430	#393	C₂³	1	2	yes	complemented
431	#393	C₂³	1	2	yes	complemented
432	#393	C₂³	1	4	yes	complemented
433	#393	C₂³	1	4	yes	complemented
434	#391	C₂³	1	4	yes	complemented
435	#391	C₂³	1	4	yes	complemented
436	#391	C₂³	1	4	yes	complemented
437	#391	C₂³	1	4	yes	complemented
438	#391	C₂³	1	4	yes	complemented
439	#391	C₂³	1	4	yes	complemented
440	#391	C₂³	1	2	yes	complemented
441	#391	C₂³	1	4	yes	complemented
442	#391	C₂³	1	2	yes	complemented
443	#390	C₂³	1	2	yes	—
444	#390	C₂³	1	2	yes	—
445	#390	C₂³	1	4	yes	—
446	#390	C₂³	1	4	yes	—
447	#390	C₂³	1	2	yes	—
448	#390	C₂³	1	2	yes	—
449	#390	C₂³	1	4	yes	—
450	#390	C₂³	1	4	yes	—
451	#390	C₂³	1	4	yes	—
452	#390	C₂³	1	4	yes	—
453	#390	C₂³	1	4	yes	—
454	#390	C₂³	1	4	yes	—
455	#390	C₂³	1	4	yes	—
456	#390	C₂³	1	4	yes	—
457	#389	C₂³	1	4	yes	complemented
458	#389	C₂³	1	4	yes	complemented
459	#389	C₂³	1	4	yes	complemented
460	#389	C₂³	1	4	yes	complemented
461	#389	C₂³	1	4	yes	complemented
462	#389	C₂³	1	4	yes	complemented
463	#389	C₂³	1	4	yes	complemented
464	#389	C₂³	1	4	yes	complemented
465	#389	C₂³	1	4	yes	complemented
466	#389	C₂³	1	4	yes	complemented
467	#389	C₂³	1	4	yes	complemented
468	#389	C₂³	1	4	yes	complemented
469	#389	C₂³	1	2	yes	complemented
470	#389	C₂³	1	2	yes	complemented
471	#389	C₂³	1	4	yes	complemented
472	#389	C₂³	1	4	yes	complemented
473	#389	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	—
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#387	C₂³	1	4	yes	complemented
515	#387	C₂³	1	4	yes	complemented
516	#387	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	2	yes	—
521	#386	C₂³	1	2	yes	—
522	#386	C₂³	1	2	yes	—
523	#386	C₂³	1	2	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	2	yes	—
530	#386	C₂³	1	2	yes	—
531	#386	C₂³	1	2	yes	—
532	#386	C₂³	1	2	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#385	C₂³	1	4	yes	—
541	#385	C₂³	1	4	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	—
544	#385	C₂³	1	4	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	—
558	#385	C₂³	1	4	yes	—
559	#385	C₂³	1	4	yes	—
560	#385	C₂³	1	4	yes	—
561	#385	C₂³	1	2	yes	—
562	#385	C₂³	1	2	yes	—
563	#385	C₂³	1	2	yes	—
564	#385	C₂³	1	2	yes	—
565	#385	C₂³	1	4	yes	—
566	#385	C₂³	1	4	yes	—
567	#385	C₂³	1	4	yes	—
568	#385	C₂³	1	4	yes	—
569	#385	C₂³	1	4	yes	—
570	#385	C₂³	1	4	yes	—
571	#385	C₂³	1	4	yes	—
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	4	yes	—
575	#385	C₂³	1	4	yes	—
576	#385	C₂³	1	4	yes	—
577	#385	C₂³	1	4	yes	—
578	#385	C₂³	1	4	yes	—
579	#385	C₂³	1	4	yes	—
580	#385	C₂³	1	2	yes	complemented
581	#385	C₂³	1	4	yes	complemented
582	#385	C₂³	1	4	yes	complemented
583	#385	C₂³	1	4	yes	complemented
584	#385	C₂³	1	2	yes	complemented
585	#385	C₂³	1	2	yes	complemented
586	#385	C₂³	1	2	yes	complemented
587	#385	C₂³	1	4	yes	complemented
588	#385	C₂³	1	4	yes	complemented
589	#385	C₂³	1	4	yes	complemented
590	#384	C₂³	1	2	yes	complemented
591	#384	C₂³	1	2	yes	complemented
592	#384	C₂³	1	4	yes	complemented
593	#384	C₂³	1	2	yes	complemented
594	#382	C₂³	1	2	yes	complemented
595	#382	C₂³	1	2	yes	complemented
596	#382	C₂³	1	4	yes	complemented
597	#382	C₂³	1	4	yes	complemented
598	#382	C₂³	1	2	yes	complemented
599	#381	C₂³	1	4	yes	—
600	#380	C₂³	1	4	yes	—
601	#380	C₂³	1	2	yes	—
602	#380	C₂³	1	4	yes	—
603	#380	C₂³	1	2	yes	—
604	#380	C₂³	1	4	yes	—
605	#380	C₂³	1	4	yes	—
606	#380	C₂³	1	2	yes	—
607	#380	C₂³	1	4	yes	—
608	#380	C₂³	1	4	yes	—
609	#380	C₂³	1	2	yes	—
610	#380	C₂³	1	2	yes	—
611	#380	C₂³	1	4	yes	—
612	#380	C₂³	1	4	yes	—
613	#380	C₂³	1	2	yes	—
614	#380	C₂³	1	2	yes	—
615	#380	C₂³	1	4	yes	—
616	#380	C₂³	1	4	yes	—
617	#380	C₂³	1	2	yes	—
618	#380	C₂³	1	4	yes	—
619	#380	C₂³	1	4	yes	—
620	#380	C₂³	1	4	yes	—
621	#380	C₂³	1	4	yes	—
622	#380	C₂³	1	2	yes	complemented
623	#380	C₂³	1	4	yes	complemented
624	#380	C₂³	1	4	yes	complemented
625	#380	C₂³	1	2	yes	complemented
626	#380	C₂³	1	4	yes	complemented
627	#380	C₂³	1	2	yes	complemented
628	#380	C₂³	1	4	yes	complemented
629	#380	C₂³	1	1	yes	characteristic, complemented
630	#380	C₂³	1	1	yes	characteristic, complemented
631	#379	C₂³	1	4	yes	—
632	#379	C₂³	1	4	yes	—
633	#379	C₂³	1	4	yes	—
634	#379	C₂³	1	2	yes	—
635	#379	C₂³	1	4	yes	—
636	#379	C₂³	1	2	yes	—
637	#379	C₂³	1	4	yes	—
638	#379	C₂³	1	2	yes	—
639	#379	C₂³	1	2	yes	—
640	#379	C₂³	1	4	yes	—
641	#379	C₂³	1	4	yes	—
642	#379	C₂³	1	4	yes	—
643	#379	C₂³	1	4	yes	—
644	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
645	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
646	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
647	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
648	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
649	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
650	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
651	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
652	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
653	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
654	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
655	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
656	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
657	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
658	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
659	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
660	C₂×#95	C₂³	1	2	yes	—
661	C₂×#95	C₂³	1	2	yes	—
662	C₂×#95	C₂³	1	2	yes	—
663	C₂×#95	C₂³	1	2	yes	complemented
664	C₂⁵	—	4	2	no	—
665	C₂⁵	—	4	2	no	—
666	C₂⁵	—	8	2	no	—
667	C₂⁵	—	8	2	no	—
668	C₂⁵	C₂×Q₈	1	8	yes	complemented
669	C₂⁵	C₂⁴	1	2	yes	—
670	C₂⁵	C₂⁴	1	1	yes	characteristic
671	C₂⁵	C₂⁴	1	1	yes	characteristic
672	C₂⁵	C₂⁴	1	2	yes	—
673	C₂⁵	C₂⁴	1	2	yes	—
674	C₂²×Q₈	—	4	2	no	—
675	C₂²×Q₈	—	8	2	no	—
676	C₂²×Q₈	C₂⁴	1	2	yes	—
677	C₂²×Q₈	C₂⁴	1	2	yes	—
678	C₂²×Q₈	C₂⁴	1	4	yes	—
679	C₂²×Q₈	C₂⁴	1	2	yes	—
680	C₂²×Q₈	C₂⁴	1	4	yes	—
681	C₂²×Q₈	C₂⁴	1	2	yes	—
682	C₂²×D₄	—	4	2	no	—
683	C₂²×D₄	—	4	2	no	—
684	C₂²×D₄	—	8	2	no	—
685	C₂²×D₄	—	8	2	no	—
686	C₂²×D₄	C₂×Q₈	1	8	yes	—
687	C₂²×D₄	C₂×Q₈	1	16	yes	—
688	C₂²×D₄	C₂⁴	1	1	yes	characteristic
689	C₂²×D₄	C₂⁴	1	1	yes	characteristic
690	C₂²×D₄	C₂⁴	1	1	yes	characteristic
691	C₂²×D₄	C₂⁴	1	1	yes	characteristic
692	C₂²×D₄	C₂⁴	1	4	yes	—
693	C₂²×D₄	C₂⁴	1	4	yes	—
694	C₂³×C₄	—	2	4	no	—
695	C₂³×C₄	—	2	4	no	—
696	C₂³×C₄	—	4	2	no	—
697	C₂³×C₄	—	8	2	no	—
698	C₂³×C₄	—	8	2	no	—
699	C₂³×C₄	—	8	2	no	—
700	C₂³×C₄	C₂⁴	1	1	yes	characteristic
701	C₂³×C₄	C₂⁴	1	1	yes	characteristic
702	C₂³×C₄	C₂⁴	1	2	yes	—
703	C₂³×C₄	C₂⁴	1	2	yes	—
704	C₂³×C₄	C₂⁴	1	1	yes	characteristic
705	C₂³×C₄	C₂⁴	1	1	yes	characteristic
706	C₂³×C₄	C₂⁴	1	1	yes	characteristic
707	C₂³×C₄	C₂⁴	1	1	yes	characteristic
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	C₂⁴	1	1	yes	characteristic
711	C₂³×C₄	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄	C₂⁴	1	1	yes	characteristic
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	C₂³×C₄	C₂⁴	1	4	yes	—
715	C₂³×C₄	C₂⁴	1	4	yes	—
716	C₂³×C₄	C₂⁴	1	4	yes	—
717	C₂³×C₄	C₂⁴	1	4	yes	—
718	C₂³×C₄	C₂⁴	1	2	yes	—
719	C₂³×C₄	C₂⁴	1	2	yes	—
720	C₂³×C₄	C₂⁴	1	2	yes	—
721	C₂³×C₄	C₂⁴	1	4	yes	—
722	C₂³×C₄	C₂⁴	1	2	yes	—
723	C₂³×C₄	C₂⁴	1	2	yes	—
724	C₂³×C₄	C₂⁴	1	1	yes	characteristic
725	C₄⋊Q₈	—	4	2	no	—
726	C₄⋊Q₈	—	4	2	no	—
727	C₄⋊Q₈	—	8	4	no	—
728	#125	—	4	4	no	—
729	#125	—	8	4	no	—
730	#125	—	8	4	no	—
731	C₂²⋊Q₈	—	2	8	no	—
732	C₂²⋊Q₈	—	2	8	no	—
733	C₂²⋊Q₈	—	4	4	no	—
734	C₂²⋊Q₈	—	4	8	no	—
735	C₂²⋊Q₈	—	4	4	no	—
736	C₂²⋊Q₈	—	4	8	no	—
737	C₂²⋊Q₈	—	4	8	no	—
738	C₂²⋊Q₈	—	4	8	no	—
739	C₂²⋊Q₈	—	4	8	no	—
740	C₂²⋊Q₈	—	4	8	no	—
741	C₂²⋊Q₈	—	4	4	no	—
742	C₂²⋊Q₈	—	4	4	no	—
743	C₂²⋊Q₈	—	8	2	no	—
744	C₂²⋊Q₈	—	8	4	no	—
745	C₂²⋊Q₈	—	8	2	no	—
746	C₂²⋊Q₈	—	8	2	no	—
747	C₂²⋊Q₈	—	8	4	no	—
748	C₂²⋊Q₈	—	8	4	no	—
749	C₂²⋊Q₈	—	8	4	no	—
750	C₂²⋊Q₈	—	8	2	no	—
751	C₂²⋊Q₈	—	8	4	no	—
752	C₂²⋊Q₈	—	8	4	no	—
753	C₂²⋊Q₈	—	8	4	no	—
754	C₂²⋊Q₈	—	8	4	no	—
755	C₂²⋊Q₈	—	8	2	no	—
756	C₂²⋊Q₈	—	8	2	no	—
757	#120	C₂×Q₈	1	16	yes	—
758	#120	C₂×Q₈	1	16	yes	—
759	#120	C₂×Q₈	1	16	yes	complemented
760	#120	C₂×Q₈	1	16	yes	complemented
761	C₄×Q₈	—	4	4	no	—
762	C₄×Q₈	—	4	4	no	—
763	C₄×Q₈	—	8	4	no	—
764	C₄×D₄	—	4	2	no	—
765	C₄×D₄	—	4	2	no	—
766	C₄×D₄	—	4	2	no	—
767	C₄×D₄	—	4	2	no	—
768	C₄×D₄	—	4	2	no	—
769	C₄×D₄	—	4	2	no	—
770	C₄×D₄	—	4	2	no	—
771	C₄×D₄	—	4	2	no	—
772	C₄×D₄	—	8	4	no	—
773	C₄×D₄	—	8	4	no	—
774	C₄×D₄	—	8	4	no	—
775	C₄×D₄	—	8	4	no	—
776	#117	—	4	4	no	—
777	#117	—	4	4	no	—
778	C₂×C₄⋊C₄	—	4	2	no	—
779	C₂×C₄⋊C₄	—	4	4	no	—
780	C₂×C₄⋊C₄	—	4	2	no	—
781	C₂×C₄⋊C₄	—	8	2	no	—
782	C₂×C₄⋊C₄	—	8	2	no	—
783	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
784	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
787	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
788	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	—	2	8	no	—
837	C₂×C₂²⋊C₄	—	4	4	no	—
838	C₂×C₂²⋊C₄	—	4	4	no	—
839	C₂×C₂²⋊C₄	—	4	4	no	—
840	C₂×C₂²⋊C₄	—	4	4	no	—
841	C₂×C₂²⋊C₄	—	4	4	no	—
842	C₂×C₂²⋊C₄	—	4	8	no	—
843	C₂×C₂²⋊C₄	—	4	4	no	—
844	C₂×C₂²⋊C₄	—	4	8	no	—
845	C₂×C₂²⋊C₄	—	4	4	no	—
846	C₂×C₂²⋊C₄	—	4	2	no	—
847	C₂×C₂²⋊C₄	—	4	2	no	—
848	C₂×C₂²⋊C₄	—	4	2	no	—
849	C₂×C₂²⋊C₄	—	8	4	no	—
850	C₂×C₂²⋊C₄	—	8	4	no	—
851	C₂×C₂²⋊C₄	—	8	2	no	—
852	C₂×C₂²⋊C₄	—	8	2	no	—
853	C₂×C₂²⋊C₄	—	8	2	no	—
854	C₂×C₂²⋊C₄	—	8	4	no	—
855	C₂×C₂²⋊C₄	—	8	4	no	—
856	C₂×C₂²⋊C₄	C₂×Q₈	1	16	yes	complemented
857	C₂×C₂²⋊C₄	C₂×Q₈	1	8	yes	complemented
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
869	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
870	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
872	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂×C₄²	—	2	4	no	—
914	C₂×C₄²	—	8	2	no	—
915	C₂×C₄²	C₂⁴	1	1	yes	characteristic
916	C₂×C₄²	C₂⁴	1	1	yes	characteristic
917	C₂×C₄²	C₂⁴	1	1	yes	characteristic
918	C₂×C₄²	C₂⁴	1	1	yes	characteristic
919	C₂×C₄²	C₂⁴	1	4	yes	—
920	C₂×C₄²	C₂⁴	1	2	yes	—
921	C₂×C₄²	C₂⁴	1	2	yes	—
922	C₂×C₄²	C₂⁴	1	4	yes	—
923	C₂×C₄²	C₂⁴	1	4	yes	—
924	C₂×C₄²	C₂⁴	1	4	yes	—
925	C₂×C₄²	C₂⁴	1	4	yes	—
926	C₂×C₄²	C₂⁴	1	4	yes	—
927	C₂×C₄²	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	2	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	2	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	2	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	2	yes	—
957	#95	C₂⁴	1	4	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	4	yes	—
960	#95	C₂⁴	1	4	yes	—
961	#95	C₂⁴	1	4	yes	—
962	#95	C₂⁴	1	4	yes	—
963	#95	C₂⁴	1	4	yes	—
964	#95	C₂⁴	1	4	yes	—
965	#95	C₂⁴	1	4	yes	—
966	#95	C₂⁴	1	4	yes	—
967	#95	C₂⁴	1	4	yes	—
968	#95	C₂⁴	1	4	yes	—
969	#95	C₂⁴	1	4	yes	—
970	#95	C₂⁴	1	4	yes	—
971	#95	C₂⁴	1	4	yes	—
972	C₂⁴	—	2	2	no	—
973	C₂⁴	—	2	2	no	—
974	C₂⁴	—	2	4	no	—
975	C₂⁴	—	2	2	no	—
976	C₂⁴	—	2	2	no	—
977	C₂⁴	—	2	4	no	—
978	C₂⁴	—	4	2	no	—
979	C₂⁴	—	4	2	no	—
980	C₂⁴	—	4	2	no	—
981	C₂⁴	—	4	2	no	—
982	C₂⁴	—	4	2	no	—
983	C₂⁴	—	4	2	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	4	no	—
986	C₂⁴	—	4	4	no	—
987	C₂⁴	—	4	4	no	—
988	C₂⁴	—	4	4	no	—
989	C₂⁴	—	4	2	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	16	no	—
993	C₂⁴	—	4	2	no	—
994	C₂⁴	—	4	2	no	—
995	C₂⁴	—	8	16	no	—
996	C₂⁴	—	8	8	no	—
997	C₂⁴	—	8	8	no	—
998	C₂⁴	—	8	16	no	—
999	C₂⁴	C₂²×Q₈	1	4	yes	—
1000	C₂⁴	C₂²×Q₈	1	8	yes	—
1001	C₂⁴	C₂²×Q₈	1	4	yes	—
1002	C₂⁴	C₂²×Q₈	1	8	yes	—
1003	C₂⁴	C₂²×Q₈	1	8	yes	—
1004	C₂⁴	C₂⁵	1	4	yes	—
1005	C₂⁴	C₂⁵	1	1	yes	characteristic
1006	C₂⁴	C₂⁵	1	1	yes	characteristic
1007	C₂⁴	C₂⁵	1	1	yes	characteristic
1008	C₂⁴	C₂⁵	1	1	yes	characteristic
1009	C₂⁴	C₂⁵	1	1	yes	characteristic
1010	C₂×Q₈	—	2	4	no	—
1011	C₂×Q₈	—	2	4	no	—
1012	C₂×Q₈	—	4	2	no	—
1013	C₂×Q₈	—	4	4	no	—
1014	C₂×Q₈	—	4	2	no	—
1015	C₂×Q₈	—	4	4	no	—
1016	C₂×Q₈	—	4	2	no	—
1017	C₂×Q₈	—	4	2	no	—
1018	C₂×Q₈	—	4	4	no	—
1019	C₂×Q₈	—	4	4	no	—
1020	C₂×Q₈	—	4	2	no	—
1021	C₂×Q₈	—	4	2	no	—
1022	C₂×Q₈	—	4	4	no	—
1023	C₂×Q₈	—	4	4	no	—
1024	C₂×Q₈	—	4	4	no	—
1025	C₂×Q₈	—	4	4	no	—
1026	C₂×Q₈	—	8	8	no	—
1027	C₂×D₄	—	4	1	no	—
1028	C₂×D₄	—	4	1	no	—
1029	C₂×D₄	—	4	1	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	4	no	—
1032	C₂×D₄	—	4	4	no	—
1033	C₂×D₄	—	4	4	no	—
1034	C₂×D₄	—	4	4	no	—
1035	C₂×D₄	—	4	16	no	—
1036	C₂×D₄	—	4	1	no	—
1037	C₂×D₄	—	4	1	no	—
1038	C₂×D₄	—	4	1	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	8	16	no	—
1041	C₂×D₄	C₂²×Q₈	1	4	yes	—
1042	C₂×D₄	C₂²×Q₈	1	4	yes	—
1043	C₂×D₄	C₂²×Q₈	1	16	yes	—
1044	C₂×D₄	C₂²×Q₈	1	4	yes	—
1045	C₂×D₄	C₂²×Q₈	1	4	yes	—
1046	C₂×D₄	C₂²×Q₈	1	16	yes	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	4	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	4	no	—
1054	C₂²×C₄	—	2	2	no	—
1055	C₂²×C₄	—	2	2	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	2	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	—	4	2	no	—
1064	C₂²×C₄	—	4	2	no	—
1065	C₂²×C₄	—	4	2	no	—
1066	C₂²×C₄	—	4	2	no	—
1067	C₂²×C₄	—	4	2	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	2	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	—	4	2	no	—
1073	C₂²×C₄	—	4	2	no	—
1074	C₂²×C₄	—	4	2	no	—
1075	C₂²×C₄	—	4	2	no	—
1076	C₂²×C₄	—	4	2	no	—
1077	C₂²×C₄	—	4	2	no	—
1078	C₂²×C₄	—	4	4	no	—
1079	C₂²×C₄	—	4	4	no	—
1080	C₂²×C₄	—	4	2	no	—
1081	C₂²×C₄	—	4	2	no	—
1082	C₂²×C₄	—	4	2	no	—
1083	C₂²×C₄	—	4	2	no	—
1084	C₂²×C₄	—	4	2	no	—
1085	C₂²×C₄	—	4	2	no	—
1086	C₂²×C₄	—	4	4	no	—
1087	C₂²×C₄	—	4	4	no	—
1088	C₂²×C₄	—	4	4	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	—	4	4	no	—
1091	C₂²×C₄	—	4	4	no	—
1092	C₂²×C₄	—	4	4	no	—
1093	C₂²×C₄	—	4	4	no	—
1094	C₂²×C₄	—	4	4	no	—
1095	C₂²×C₄	—	4	4	no	—
1096	C₂²×C₄	—	4	4	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	4	no	—
1100	C₂²×C₄	—	4	4	no	—
1101	C₂²×C₄	—	4	4	no	—
1102	C₂²×C₄	—	4	4	no	—
1103	C₂²×C₄	—	8	8	no	—
1104	C₂²×C₄	—	8	8	no	—
1105	C₂²×C₄	—	8	8	no	—
1106	C₂²×C₄	C₂²×Q₈	1	4	yes	—
1107	C₂²×C₄	C₂²×Q₈	1	8	yes	—
1108	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1109	C₂²×C₄	C₂⁵	1	4	yes	—
1110	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁵	1	4	yes	—
1112	C₂²×C₄	C₂⁵	1	4	yes	—
1113	C₂²×C₄	C₂⁵	1	4	yes	—
1114	C₂²×C₄	C₂⁵	1	4	yes	—
1115	C₂²×C₄	C₂⁵	1	4	yes	—
1116	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁵	1	4	yes	—
1119	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁵	1	4	yes	—
1121	C₂²×C₄	C₂⁵	1	4	yes	—
1122	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁵	1	4	yes	—
1124	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁵	1	4	yes	—
1128	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1130	C₄⋊C₄	—	2	4	no	—
1131	C₄⋊C₄	—	2	8	no	—
1132	C₄⋊C₄	—	2	8	no	—
1133	C₄⋊C₄	—	2	4	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	2	no	—
1139	C₄⋊C₄	—	4	4	no	—
1140	C₄⋊C₄	—	4	2	no	—
1141	C₄⋊C₄	—	4	2	no	—
1142	C₄⋊C₄	—	4	4	no	—
1143	C₄⋊C₄	—	4	4	no	—
1144	C₄⋊C₄	—	4	4	no	—
1145	C₄⋊C₄	—	4	4	no	—
1146	C₄⋊C₄	—	4	2	no	—
1147	C₄⋊C₄	—	4	2	no	—
1148	C₄⋊C₄	—	4	4	no	—
1149	C₄⋊C₄	—	4	4	no	—
1150	C₄⋊C₄	—	4	4	no	—
1151	C₄⋊C₄	—	4	4	no	—
1152	C₄⋊C₄	—	4	4	no	—
1153	C₄⋊C₄	—	4	2	no	—
1154	C₄⋊C₄	—	4	4	no	—
1155	C₄⋊C₄	—	4	4	no	—
1156	C₄⋊C₄	—	4	4	no	—
1157	C₄⋊C₄	—	4	4	no	—
1158	C₄⋊C₄	—	4	4	no	—
1159	C₄⋊C₄	—	4	4	no	—
1160	C₄⋊C₄	—	4	4	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	4	no	—
1163	C₄⋊C₄	—	4	2	no	—
1164	C₄⋊C₄	—	4	2	no	—
1165	C₄⋊C₄	—	4	4	no	—
1166	C₄⋊C₄	—	4	4	no	—
1167	C₄⋊C₄	—	4	4	no	—
1168	C₄⋊C₄	—	4	4	no	—
1169	C₄⋊C₄	—	4	4	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	4	no	—
1177	C₄⋊C₄	—	4	4	no	—
1178	C₄⋊C₄	—	4	4	no	—
1179	C₄⋊C₄	—	4	4	no	—
1180	C₄⋊C₄	—	4	4	no	—
1181	C₄⋊C₄	—	4	4	no	—
1182	C₄⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	2	8	no	—
1184	C₂²⋊C₄	—	2	8	no	—
1185	C₂²⋊C₄	—	2	8	no	—
1186	C₂²⋊C₄	—	2	8	no	—
1187	C₂²⋊C₄	—	2	8	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	4	4	no	—
1191	C₂²⋊C₄	—	4	4	no	—
1192	C₂²⋊C₄	—	4	4	no	—
1193	C₂²⋊C₄	—	4	2	no	—
1194	C₂²⋊C₄	—	4	2	no	—
1195	C₂²⋊C₄	—	4	2	no	—
1196	C₂²⋊C₄	—	4	2	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	4	no	—
1206	C₂²⋊C₄	—	4	4	no	—
1207	C₂²⋊C₄	—	4	4	no	—
1208	C₂²⋊C₄	—	4	4	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	4	no	—
1224	C₂²⋊C₄	—	4	4	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	4	no	—
1229	C₂²⋊C₄	—	4	4	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	C₂²×Q₈	1	16	yes	—
1235	C₂²⋊C₄	C₂²×Q₈	1	16	yes	—
1236	C₂²⋊C₄	C₂²×Q₈	1	8	yes	—
1237	C₂²⋊C₄	C₂²×Q₈	1	8	yes	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	2	2	no	—
1240	C₄²	—	2	2	no	—
1241	C₄²	—	2	2	no	—
1242	C₄²	—	4	4	no	—
1243	C₄²	—	4	4	no	—
1244	C₄²	—	4	2	no	—
1245	C₄²	—	4	2	no	—
1246	C₄²	—	4	4	no	—
1247	C₄²	—	4	4	no	—
1248	C₄²	—	4	4	no	—
1249	C₄²	—	4	4	no	—
1250	C₄²	—	4	4	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	2	2	no	—
1253	C₂³	—	2	4	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	4	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	4	no	—
1274	C₂³	—	2	4	no	—
1275	C₂³	—	2	8	no	—
1276	C₂³	—	2	8	no	—
1277	C₂³	—	2	16	no	—
1278	C₂³	—	4	8	no	—
1279	C₂³	—	4	8	no	—
1280	C₂³	—	4	8	no	—
1281	C₂³	—	4	8	no	—
1282	C₂³	—	4	8	no	—
1283	C₂³	—	4	8	no	—
1284	C₂³	—	4	16	no	—
1285	C₂³	—	4	16	no	—
1286	C₂³	—	4	4	no	—
1287	C₂³	—	4	4	no	—
1288	C₂³	—	4	8	no	—
1289	C₂³	—	8	2	no	—
1290	C₂³	—	8	4	no	—
1291	C₂³	—	8	2	no	—
1292	C₂³	—	8	4	no	—
1293	C₂³	—	8	4	no	—
1294	C₂³	—	8	4	no	—
1295	C₂³	—	8	4	no	—
1296	C₂³	—	8	4	no	—
1297	C₂³	—	8	4	no	—
1298	C₂³	—	8	8	no	—
1299	C₂³	—	8	8	no	—
1300	C₂³	—	8	4	no	—
1301	C₂³	—	8	4	no	—
1302	C₂³	—	8	64	no	—
1303	C₂³	C₂³×Q₈	1	2	yes	—
1304	C₂³	C₂³×Q₈	1	2	yes	—
1305	C₂³	C₂³×Q₈	1	8	yes	—
1306	C₂³	C₂³×Q₈	1	2	yes	—
1307	C₂³	C₂³×Q₈	1	2	yes	—
1308	C₂³	C₂³×Q₈	1	2	yes	—
1309	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1310	C₂³	#585	1	2	yes	—
1311	C₂³	C₂⁶	1	1	yes	characteristic
1312	Q₈	—	8	4	no	—
1313	Q₈	—	8	4	no	—
1314	Q₈	—	8	8	no	—
1315	Q₈	—	8	4	no	—
1316	Q₈	—	8	4	no	—
1317	Q₈	—	16	4	no	—
1318	D₄	—	4	4	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	4	4	no	—
1322	D₄	—	4	16	no	—
1323	D₄	—	4	16	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	4	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	8	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	4	no	—
1336	C₂×C₄	—	2	4	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	4	no	—
1339	C₂×C₄	—	2	4	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	4	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	4	no	—
1348	C₂×C₄	—	2	4	no	—
1349	C₂×C₄	—	2	4	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	4	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	4	no	—
1357	C₂×C₄	—	2	4	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	2	4	no	—
1360	C₂×C₄	—	2	4	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	4	no	—
1364	C₂×C₄	—	2	4	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	2	4	no	—
1367	C₂×C₄	—	2	2	no	—
1368	C₂×C₄	—	2	4	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	4	no	—
1372	C₂×C₄	—	2	4	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	4	4	no	—
1376	C₂×C₄	—	4	8	no	—
1377	C₂×C₄	—	4	4	no	—
1378	C₂×C₄	—	4	4	no	—
1379	C₂×C₄	—	4	4	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	—	8	2	no	—
1383	C₂×C₄	—	8	2	no	—
1384	C₂×C₄	—	8	2	no	—
1385	C₂×C₄	—	8	2	no	—
1386	C₂×C₄	—	8	4	no	—
1387	C₂×C₄	—	8	2	no	—
1388	C₂×C₄	—	8	2	no	—
1389	C₂×C₄	—	8	4	no	—
1390	C₂×C₄	—	8	4	no	—
1391	C₂×C₄	—	8	4	no	—
1392	C₂×C₄	—	8	4	no	—
1393	C₂×C₄	—	8	4	no	—
1394	C₂×C₄	—	16	4	no	—
1395	C₂×C₄	—	16	4	no	—
1396	C₂×C₄	—	16	4	no	—
1397	C₂×C₄	—	16	4	no	—
1398	C₂×C₄	—	16	4	no	—
1399	C₂×C₄	C₂³×Q₈	1	2	yes	—
1400	C₂×C₄	C₂³×Q₈	1	2	yes	—
1401	C₂×C₄	C₂³×Q₈	1	8	yes	—
1402	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1403	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1404	C₂²	—	2	4	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	4	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	8	no	—
1413	C₂²	—	2	8	no	—
1414	C₂²	—	2	4	no	—
1415	C₂²	—	2	4	no	—
1416	C₂²	—	2	4	no	—
1417	C₂²	—	2	4	no	—
1418	C₂²	—	2	8	no	—
1419	C₂²	—	4	16	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	4	no	—
1425	C₂²	—	4	2	no	—
1426	C₂²	—	4	4	no	—
1427	C₂²	—	4	4	no	—
1428	C₂²	—	4	2	no	—
1429	C₂²	—	4	2	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	4	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	8	8	no	—
1437	C₂²	—	8	16	no	—
1438	C₂²	—	8	16	no	—
1439	C₂²	—	8	16	no	—
1440	C₂²	#3501	1	4	yes	—
1441	C₂²	C₂⁴×Q₈	1	1	yes	characteristic
1442	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1443	C₂²	C₂×#585	1	1	yes	characteristic
1444	C₂²	H(7,𝔽₂)	1	2	yes	—
1445	C₂²	H(7,𝔽₂)	1	2	yes	—
1446	C₄	—	2	2	no	—
1447	C₄	—	2	2	no	—
1448	C₄	—	2	8	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	4	1	no	—
1452	C₄	—	4	1	no	—
1453	C₄	—	4	1	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	4	no	—
1456	C₄	—	4	4	no	—
1457	C₄	—	4	4	no	—
1458	C₄	—	4	4	no	—
1459	C₄	—	4	4	no	—
1460	C₄	—	4	4	no	—
1461	C₄	—	4	4	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	4	no	—
1464	C₄	—	4	4	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	4	no	—
1467	C₂	—	2	4	no	—
1468	C₂	—	4	2	no	—
1469	C₂	—	4	2	no	—
1470	C₂	—	4	2	no	—
1471	C₂	—	4	2	no	—
1472	C₂	—	4	8	no	—
1473	C₂	C₂×#3501	1	1	yes	characteristic
1474	C₂	#62843	1	2	yes	—
1475	C₂	#62862	1	1	yes	characteristic
1476	C₂	#62867	1	2	yes	—
1477	C₂	#62874	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂²×#120	C₂²
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. #48839	C₂	semidirect
2. #48838	C₂	semidirect
3. #47963	C₂	semidirect
4. #47962	C₂	semidirect
5. #47961	C₂	semidirect
6. #47960	C₂	semidirect
7. #47018	C₂	semidirect
8. #46842	C₂	semidirect
9. #46434	C₂	semidirect
10. #46433	C₂	semidirect
11. #46433	C₂	semidirect
12. #46431	C₂	semidirect
13. #38962	C₂	semidirect
14. #38959	C₂	semidirect
15. #37876	C₂	semidirect
16. #37872	C₂	semidirect
17. #37688	C₂	semidirect
18. #37684	C₂	semidirect
19. #37475	C₂	semidirect
20. #36748	C₂	semidirect
21. #36747	C₂	semidirect
22. #35172	C₂	semidirect
23. #35012	C₂	semidirect
24. #35010	C₂	semidirect
25. #34982	C₂	semidirect
29. C₂×#533	C₂²	semidirect
30. C₂²×C₂²⋊Q₈	C₂²	semidirect
34. #2855	C₂²	semidirect
35. #2851	C₂²	semidirect
39. #2848	C₂²	semidirect
40. #2842	C₂²	semidirect
41. #2842	C₂²	semidirect
42. #2840	C₂²	semidirect
43. #2807	C₂²	semidirect
44. #2804	C₂²	semidirect
45. #2790	C₂²	semidirect
46. #2790	C₂²	semidirect
47. #2790	C₂²	semidirect
48. #2788	C₂²	semidirect
49. #2788	C₂²	semidirect
50. #2784	C₂²	semidirect
51. #2784	C₂²	semidirect
52. #2784	C₂²	semidirect
53. #2784	C₂²	semidirect
54. #2780	C₂²	semidirect
55. #2780	C₂²	semidirect
56. #2780	C₂²	semidirect
57. #2780	C₂²	semidirect
58. #2780	C₂²	semidirect
59. #2768	C₂²	semidirect
60. #2768	C₂²	semidirect
61. #2768	C₂²	semidirect
62. #2768	C₂²	semidirect
63. #2763	C₂²	semidirect
64. #2763	C₂²	semidirect
65. #2763	C₂²	semidirect
66. #2748	C₂²	semidirect
67. #2748	C₂²	semidirect
68. #2748	C₂²	semidirect
69. #2748	C₂²	semidirect
70. #2748	C₂²	semidirect
71. #2742	C₂²	semidirect
72. #2742	C₂²	semidirect
73. #2732	C₂²	semidirect
74. #2732	C₂²	semidirect
75. #2729	C₂²	semidirect
76. #2729	C₂²	semidirect
77. #2720	C₂²	semidirect
78. #2720	C₂²	semidirect
79. #2720	C₂²	semidirect
80. #2720	C₂²	semidirect
81. #2704	C₂²	semidirect
82. #2704	C₂²	semidirect
83. #2704	C₂²	semidirect
84. #2692	C₂²	semidirect
85. #2692	C₂²	semidirect
86. #2692	C₂²	semidirect
87. #2692	C₂²	semidirect
88. #2692	C₂²	semidirect
89. #2692	C₂²	semidirect
90. #2692	C₂²	semidirect
91. #2683	C₂²	semidirect
92. #2683	C₂²	semidirect
93. #2677	C₂²	semidirect
94. #2677	C₂²	semidirect
95. #2659	C₂²	semidirect
96. #2659	C₂²	semidirect
97. #2627	C₂²	semidirect
104. #2626	C₂²	semidirect
105. #2626	C₂²	semidirect
106. #2626	C₂²	semidirect
107. #2626	C₂²	semidirect
108. #2626	C₂²	semidirect
109. #2589	C₂²	semidirect
110. #2589	C₂²	semidirect
111. #2587	C₂²	semidirect
112. #2587	C₂²	semidirect
113. #2580	C₂²	semidirect
114. #2580	C₂²	semidirect
115. #2580	C₂²	semidirect
116. #2579	C₂²	semidirect
117. #2579	C₂²	semidirect
118. #2579	C₂²	semidirect
119. #2574	C₂²	semidirect
120. #2574	C₂²	semidirect
121. #2574	C₂²	semidirect
122. #2574	C₂²	semidirect
123. #2574	C₂²	semidirect
124. #2569	C₂²	semidirect
125. #2566	C₂²	semidirect
126. #2566	C₂²	semidirect
127. #2566	C₂²	semidirect
128. #2564	C₂²	semidirect
129. #2564	C₂²	semidirect
130. #2564	C₂²	semidirect
131. #2563	C₂²	semidirect
132. #2563	C₂²	semidirect
133. #2563	C₂²	semidirect
134. #2556	C₂²	semidirect
135. #2556	C₂²	semidirect
136. #2556	C₂²	semidirect
137. #2549	C₂²	semidirect
138. #2542	C₂²	semidirect
139. #2542	C₂²	semidirect
140. #2538	C₂²	semidirect
141. #2538	C₂²	semidirect
142. #2538	C₂²	semidirect
143. #2522	C₂²	semidirect
144. #2522	C₂²	semidirect
145. #2522	C₂²	semidirect
146. #2497	C₂²	semidirect
147. #2487	C₂²	semidirect
148. #2487	C₂²	semidirect
149. #2465	C₂²	semidirect
150. #2465	C₂²	semidirect
151. #2465	C₂²	semidirect
152. #2465	C₂²	semidirect
153. #2465	C₂²	semidirect
154. #2454	C₂²	semidirect
155. #2454	C₂²	semidirect
156. #2454	C₂²	semidirect
157. #2452	C₂²	semidirect
158. #2450	C₂²	semidirect
159. #2449	C₂²	semidirect
160. #2449	C₂²	semidirect
161. #2449	C₂²	semidirect
162. #2442	C₂²	semidirect
163. #2440	C₂²	semidirect
164. #2438	C₂²	semidirect
165. #2438	C₂²	semidirect
170. #2437	C₂²	semidirect
171. #2437	C₂²	semidirect
172. #2437	C₂²	semidirect
173. #2437	C₂²	semidirect
174. #2437	C₂²	semidirect
175. #2437	C₂²	semidirect
176. #2437	C₂²	semidirect
177. #2437	C₂²	semidirect
178. #2437	C₂²	semidirect
179. #2437	C₂²	semidirect
180. #2437	C₂²	semidirect
181. #2437	C₂²	semidirect
182. #2437	C₂²	semidirect
183. #2429	C₂²	semidirect
184. #2423	C₂²	semidirect
185. #2423	C₂²	semidirect
186. #2417	C₂²	semidirect
187. #2417	C₂²	semidirect
188. #2417	C₂²	semidirect
189. #2409	C₂²	semidirect
190. #2409	C₂²	semidirect
191. #2409	C₂²	semidirect
202. #2329	C₂²	semidirect
203. #2329	C₂²	semidirect
216. #2317	C₂²	semidirect
219. #2315	C₂²	semidirect
223. C₄×C₂²⋊Q₈	C₂²	semidirect
230. #2285	C₂²	semidirect
231. C₂×#380	C₂²	semidirect
236. C₂³×Q₈	C₂³	semidirect
244. C₂×C₄⋊Q₈	C₂³	semidirect
245. C₂×C₄⋊Q₈	C₂³	semidirect
246. C₂×C₄⋊Q₈	C₂³	semidirect
247. C₂×#125	C₂³	semidirect
248. C₂×#125	C₂³	semidirect
249. C₂×#125	C₂³	semidirect
271. C₂×C₂²⋊Q₈	C₂³	semidirect
272. C₂×C₂²⋊Q₈	C₂³	semidirect
273. C₂×C₂²⋊Q₈	C₂³	semidirect
274. C₂×C₂²⋊Q₈	C₂³	semidirect
275. C₂×C₂²⋊Q₈	C₂³	semidirect
276. C₂×C₂²⋊Q₈	C₂³	semidirect
277. C₂×#120	Q₈	semidirect
282. C₂×C₄×Q₈	C₂³	semidirect
283. C₂×C₄×Q₈	C₂³	semidirect
284. C₂×C₄×Q₈	C₂³	semidirect
302. C₂²×C₄⋊C₄	C₂³	semidirect
303. C₂²×C₄⋊C₄	C₂³	semidirect
304. C₂²×C₄⋊C₄	C₂³	semidirect
330. #400	C₂³	semidirect
331. #400	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
337. #400	C₂³	semidirect
352. #399	C₂³	semidirect
353. #399	C₂³	semidirect
354. #399	C₂³	semidirect
355. #399	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
360. #398	C₂³	semidirect
361. #398	C₂³	semidirect
362. #398	C₂³	semidirect
363. #398	C₂³	semidirect
364. #398	C₂³	semidirect
365. #398	C₂³	semidirect
366. #398	C₂³	semidirect
367. #398	C₂³	semidirect
368. #398	C₂³	semidirect
369. #398	C₂³	semidirect
370. #398	C₂³	semidirect
371. #398	C₂³	semidirect
372. #398	C₂³	semidirect
373. #398	C₂³	semidirect
398. #396	C₂³	semidirect
399. #396	C₂³	semidirect
400. #396	C₂³	semidirect
401. #396	C₂³	semidirect
402. #396	C₂³	semidirect
403. #396	C₂³	semidirect
404. #395	C₂³	semidirect
405. #395	C₂³	semidirect
406. #395	C₂³	semidirect
407. #395	C₂³	semidirect
408. #395	C₂³	semidirect
409. #395	C₂³	semidirect
410. #395	C₂³	semidirect
411. #395	C₂³	semidirect
412. #395	C₂³	semidirect
413. #395	C₂³	semidirect
414. #395	C₂³	semidirect
415. #395	C₂³	semidirect
430. #393	C₂³	semidirect
431. #393	C₂³	semidirect
432. #393	C₂³	semidirect
433. #393	C₂³	semidirect
434. #391	C₂³	semidirect
435. #391	C₂³	semidirect
436. #391	C₂³	semidirect
437. #391	C₂³	semidirect
438. #391	C₂³	semidirect
439. #391	C₂³	semidirect
440. #391	C₂³	semidirect
441. #391	C₂³	semidirect
442. #391	C₂³	semidirect
457. #389	C₂³	semidirect
458. #389	C₂³	semidirect
459. #389	C₂³	semidirect
460. #389	C₂³	semidirect
461. #389	C₂³	semidirect
462. #389	C₂³	semidirect
463. #389	C₂³	semidirect
464. #389	C₂³	semidirect
465. #389	C₂³	semidirect
466. #389	C₂³	semidirect
467. #389	C₂³	semidirect
468. #389	C₂³	semidirect
469. #389	C₂³	semidirect
470. #389	C₂³	semidirect
471. #389	C₂³	semidirect
472. #389	C₂³	semidirect
473. #389	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
514. #387	C₂³	semidirect
515. #387	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
580. #385	C₂³	semidirect
581. #385	C₂³	semidirect
582. #385	C₂³	semidirect
583. #385	C₂³	semidirect
584. #385	C₂³	semidirect
585. #385	C₂³	semidirect
586. #385	C₂³	semidirect
587. #385	C₂³	semidirect
588. #385	C₂³	semidirect
589. #385	C₂³	semidirect
590. #384	C₂³	semidirect
591. #384	C₂³	semidirect
592. #384	C₂³	semidirect
593. #384	C₂³	semidirect
594. #382	C₂³	semidirect
595. #382	C₂³	semidirect
596. #382	C₂³	semidirect
597. #382	C₂³	semidirect
598. #382	C₂³	semidirect
622. #380	C₂³	semidirect
623. #380	C₂³	semidirect
624. #380	C₂³	semidirect
625. #380	C₂³	semidirect
626. #380	C₂³	semidirect
627. #380	C₂³	semidirect
628. #380	C₂³	semidirect
629. #380	C₂³	semidirect
630. #380	C₂³	semidirect
644. C₄×C₄⋊C₄	C₂³	semidirect
645. C₄×C₄⋊C₄	C₂³	semidirect
646. C₄×C₄⋊C₄	C₂³	semidirect
647. C₄×C₄⋊C₄	C₂³	semidirect
648. C₄×C₄⋊C₄	C₂³	semidirect
649. C₄×C₄⋊C₄	C₂³	semidirect
663. C₂×#95	C₂³	semidirect
668. C₂⁵	C₂×Q₈	semidirect
759. #120	C₂×Q₈	semidirect
760. #120	C₂×Q₈	semidirect
856. C₂×C₂²⋊C₄	C₂×Q₈	semidirect
857. C₂×C₂²⋊C₄	C₂×Q₈	semidirect

Maximal subgroups

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

subgroup	index
#48839	2
#48838	2
#47963	2
#47962	2
#47961	2
#47960	2
#47018	2
#46842	2
#46434	2
#46433	2
#46431	2
#38962	2
#38959	2
#37876	2
#37872	2
#37688	2
#37684	2
#37475	2
#36748	2
#36747	2
#35172	2
#35012	2
#35010	2
#34982	2
#34356	2
C₂×#2321	2