Subgroups — C₂×#44048 #7668481

Order 512.

5634 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2788	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2770	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2765	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2745	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2744	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2735	C₂	1	1	yes	maximal, characteristic
7	C₂×#2720	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2698	C₂	1	1	yes	maximal, characteristic, complemented
9	#44048	C₂	1	32	yes	maximal, direct product factor
10	C₂×#2577	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2575	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2561	C₂	1	1	yes	maximal, characteristic
13	C₂×#2574	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#2527	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2489	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2515	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2517	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2478	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2475	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2421	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2465	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2480	C₂	1	1	yes	maximal, characteristic
24	C₂×#2480	C₂	1	1	yes	maximal, characteristic
25	C₂×#2437	C₂	1	1	yes	maximal, characteristic
26	C₂×#2396	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2373	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2373	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2342	C₂	1	1	yes	maximal, characteristic
30	C₂×#2342	C₂	1	1	yes	maximal, characteristic
31	C₂×#2332	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2314	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#126	C₂²	1	1	yes	characteristic
34	C₂²×#126	C₂²	1	1	yes	characteristic
35	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#117	C₂²	1	1	yes	characteristic
41	C₂²×#117	C₂²	1	1	yes	characteristic
42	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	#2788	C₂²	1	16	yes	complemented
46	#2770	C₂²	1	16	yes	complemented
47	#2765	C₂²	1	16	yes	complemented
48	#2745	C₂²	1	16	yes	complemented
49	#2744	C₂²	1	16	yes	complemented
50	#2735	C₂²	1	16	yes	—
51	#2720	C₂²	1	16	yes	complemented
52	#2698	C₂²	1	16	yes	complemented
53	#2577	C₂²	1	16	yes	complemented
54	#2575	C₂²	1	16	yes	complemented
55	#2574	C₂²	1	16	yes	complemented
56	#2561	C₂²	1	16	yes	—
57	#2527	C₂²	1	16	yes	complemented
58	#2517	C₂²	1	16	yes	complemented
59	#2515	C₂²	1	16	yes	complemented
60	#2497	C₂²	1	16	yes	complemented
61	#2489	C₂²	1	16	yes	complemented
62	#2480	C₂²	1	16	yes	—
63	#2480	C₂²	1	16	yes	—
64	#2478	C₂²	1	16	yes	complemented
65	#2475	C₂²	1	16	yes	complemented
66	#2465	C₂²	1	16	yes	complemented
67	#2437	C₂²	1	16	yes	—
68	#2421	C₂²	1	16	yes	complemented
69	C₂×#401	C₂²	1	1	yes	characteristic, complemented
70	#2396	C₂²	1	16	yes	complemented
71	C₂×#400	C₂²	1	1	yes	characteristic, complemented
72	C₂×#400	C₂²	1	1	yes	characteristic, complemented
73	C₂×#400	C₂²	1	1	yes	characteristic, complemented
74	C₂×#400	C₂²	1	1	yes	characteristic, complemented
75	C₂×#400	C₂²	1	1	yes	characteristic, complemented
76	C₂×#400	C₂²	1	1	yes	characteristic, complemented
77	C₂×#400	C₂²	1	1	yes	characteristic, complemented
78	C₂×#400	C₂²	1	1	yes	characteristic, complemented
79	C₂×#399	C₂²	1	1	yes	characteristic
80	C₂×#399	C₂²	1	1	yes	characteristic
81	C₂×#398	C₂²	1	1	yes	characteristic, complemented
82	C₂×#398	C₂²	1	1	yes	characteristic, complemented
83	C₂×#398	C₂²	1	1	yes	characteristic, complemented
84	C₂×#398	C₂²	1	1	yes	characteristic, complemented
85	C₂×#398	C₂²	1	1	yes	characteristic, complemented
86	C₂×#398	C₂²	1	1	yes	characteristic, complemented
87	C₂×#397	C₂²	1	1	yes	characteristic
88	C₂×#397	C₂²	1	1	yes	characteristic
89	C₂×#397	C₂²	1	1	yes	characteristic
90	C₂×#397	C₂²	1	1	yes	characteristic
91	C₂×#397	C₂²	1	1	yes	characteristic
92	C₂×#397	C₂²	1	1	yes	characteristic
93	C₂×#397	C₂²	1	1	yes	characteristic
94	C₂×#397	C₂²	1	1	yes	characteristic
95	C₂×#397	C₂²	1	1	yes	characteristic
96	C₂×#397	C₂²	1	1	yes	characteristic
97	C₂×#397	C₂²	1	1	yes	characteristic
98	C₂×#396	C₂²	1	1	yes	characteristic
99	C₂×#396	C₂²	1	1	yes	characteristic
100	C₂×#396	C₂²	1	1	yes	characteristic
101	C₂×#396	C₂²	1	1	yes	characteristic
102	C₂×#396	C₂²	1	1	yes	characteristic
103	C₂×#396	C₂²	1	1	yes	characteristic
104	C₂×#395	C₂²	1	1	yes	characteristic, complemented
105	C₂×#395	C₂²	1	1	yes	characteristic, complemented
106	C₂×#395	C₂²	1	1	yes	characteristic, complemented
107	C₂×#393	C₂²	1	1	yes	characteristic
108	C₂×#393	C₂²	1	1	yes	characteristic
109	C₂×#393	C₂²	1	1	yes	characteristic
110	#2373	C₂²	1	16	yes	complemented
111	#2373	C₂²	1	16	yes	complemented
112	#2342	C₂²	1	16	yes	—
113	#2342	C₂²	1	16	yes	—
114	#2332	C₂²	1	16	yes	complemented
115	#2314	C₂²	1	16	yes	complemented
116	C₂×#391	C₂²	1	1	yes	characteristic, complemented
117	C₂×#391	C₂²	1	1	yes	characteristic, complemented
118	C₂×#391	C₂²	1	1	yes	characteristic, complemented
119	C₂×#391	C₂²	1	1	yes	characteristic, complemented
120	C₂×#389	C₂²	1	1	yes	characteristic, complemented
121	C₂×#389	C₂²	1	1	yes	characteristic, complemented
122	C₂×#389	C₂²	1	1	yes	characteristic, complemented
123	C₂×#389	C₂²	1	1	yes	characteristic, complemented
124	C₂×#389	C₂²	1	1	yes	characteristic, complemented
125	C₂×#388	C₂²	1	1	yes	characteristic
126	C₂×#388	C₂²	1	1	yes	characteristic
127	C₂×#388	C₂²	1	1	yes	characteristic
128	C₂×#388	C₂²	1	1	yes	characteristic
129	C₂×#388	C₂²	1	1	yes	characteristic
130	C₂×#388	C₂²	1	1	yes	characteristic
131	C₂×#388	C₂²	1	1	yes	characteristic
132	C₂×#388	C₂²	1	1	yes	characteristic
133	C₂×#388	C₂²	1	1	yes	characteristic
134	C₂×#388	C₂²	1	1	yes	characteristic
135	C₂×#388	C₂²	1	1	yes	characteristic
136	C₂×#388	C₂²	1	1	yes	characteristic
137	C₂×#388	C₂²	1	1	yes	characteristic
138	C₂×#388	C₂²	1	1	yes	characteristic
139	C₂×#388	C₂²	1	1	yes	characteristic
140	C₂×#388	C₂²	1	1	yes	characteristic
141	C₂×#388	C₂²	1	1	yes	characteristic
142	C₂×#388	C₂²	1	1	yes	characteristic
143	C₂×#388	C₂²	1	1	yes	characteristic
144	C₂×#388	C₂²	1	1	yes	characteristic
145	C₂×#388	C₂²	1	1	yes	characteristic
146	C₂×#388	C₂²	1	1	yes	characteristic
147	C₂×#388	C₂²	1	1	yes	characteristic
148	C₂×#388	C₂²	1	1	yes	characteristic
149	C₂×#387	C₂²	1	1	yes	characteristic, complemented
150	C₂×#387	C₂²	1	1	yes	characteristic, complemented
151	C₂×#387	C₂²	1	1	yes	characteristic, complemented
152	C₂×#387	C₂²	1	1	yes	characteristic, complemented
153	C₂×#387	C₂²	1	1	yes	characteristic, complemented
154	C₂×#387	C₂²	1	1	yes	characteristic, complemented
155	C₂×#387	C₂²	1	1	yes	characteristic, complemented
156	C₂×#387	C₂²	1	1	yes	characteristic, complemented
157	C₂×#387	C₂²	1	1	yes	characteristic, complemented
158	C₂×#387	C₂²	1	1	yes	characteristic, complemented
159	C₂×#387	C₂²	1	1	yes	characteristic, complemented
160	C₂×#387	C₂²	1	1	yes	characteristic, complemented
161	C₂×#387	C₂²	1	1	yes	characteristic, complemented
162	C₂×#387	C₂²	1	1	yes	characteristic, complemented
163	C₂×#387	C₂²	1	1	yes	characteristic, complemented
164	C₂×#387	C₂²	1	1	yes	characteristic, complemented
165	C₂×#387	C₂²	1	1	yes	characteristic, complemented
166	C₂×#387	C₂²	1	1	yes	characteristic, complemented
167	C₂×#387	C₂²	1	1	yes	characteristic, complemented
168	C₂×#387	C₂²	1	1	yes	characteristic, complemented
169	C₂×#387	C₂²	1	1	yes	characteristic, complemented
170	C₂×#385	C₂²	1	1	yes	characteristic
171	C₂×#385	C₂²	1	1	yes	characteristic
172	C₂×#385	C₂²	1	1	yes	characteristic
173	C₂×#385	C₂²	1	1	yes	characteristic
174	C₂×#385	C₂²	1	1	yes	characteristic
175	C₂×#385	C₂²	1	1	yes	characteristic
176	C₂×#385	C₂²	1	1	yes	characteristic
177	C₂×#385	C₂²	1	1	yes	characteristic
178	C₂×#385	C₂²	1	1	yes	characteristic
179	C₂×#385	C₂²	1	1	yes	characteristic
180	C₂×#385	C₂²	1	1	yes	characteristic
181	C₂×#385	C₂²	1	1	yes	characteristic
182	C₂×#384	C₂²	1	1	yes	characteristic, complemented
183	C₂×#383	C₂²	1	1	yes	characteristic, complemented
184	C₂×#382	C₂²	1	1	yes	characteristic, complemented
185	C₂×#382	C₂²	1	1	yes	characteristic, complemented
186	C₂×#382	C₂²	1	1	yes	characteristic, complemented
187	C₂×#382	C₂²	1	1	yes	characteristic, complemented
188	C₂×#381	C₂²	1	1	yes	characteristic
189	C₂×#381	C₂²	1	1	yes	characteristic
190	C₂×#381	C₂²	1	1	yes	characteristic
191	C₂×#381	C₂²	1	1	yes	characteristic
192	C₂×#380	C₂²	1	1	yes	characteristic
193	C₂×#380	C₂²	1	1	yes	characteristic
194	C₂×#380	C₂²	1	1	yes	characteristic
195	C₂×#380	C₂²	1	1	yes	characteristic
196	C₂×#380	C₂²	1	1	yes	characteristic
197	C₂×#380	C₂²	1	1	yes	characteristic
198	C₂×#379	C₂²	1	1	yes	characteristic
199	C₂×#379	C₂²	1	1	yes	characteristic
200	C₂×#379	C₂²	1	1	yes	characteristic
201	C₂×#379	C₂²	1	1	yes	characteristic
202	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
204	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
206	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
207	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
208	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
209	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
210	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
211	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
212	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
213	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
214	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
215	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
216	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
217	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
218	C₂×#376	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×Q₈	C₂³	1	1	yes	characteristic
221	C₂³×Q₈	C₂³	1	1	yes	characteristic
222	C₂⁴×C₄	C₂³	1	1	yes	characteristic
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₄	C₂³	1	1	yes	characteristic
228	C₂×#126	—	2	8	no	—
229	C₂×#126	—	2	8	no	—
230	C₂×#126	C₂³	1	8	yes	—
231	C₂×#126	C₂³	1	8	yes	—
232	C₂×#125	—	4	4	no	—
233	C₂×#125	C₂³	1	8	yes	complemented
234	C₂×C₂²⋊Q₈	—	2	8	no	—
235	C₂×C₂²⋊Q₈	—	4	4	no	—
236	C₂×C₂²⋊Q₈	—	4	4	no	—
237	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
238	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
239	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
240	C₂×C₄×Q₈	—	4	4	no	—
241	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
242	C₂×#117	—	2	8	no	—
243	C₂×#117	—	4	4	no	—
244	C₂×#117	C₂³	1	8	yes	—
245	C₂×#117	C₂³	1	8	yes	—
246	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	—	2	8	no	—
285	C₂²×C₂²⋊C₄	—	2	8	no	—
286	C₂²×C₂²⋊C₄	—	4	4	no	—
287	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
307	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂²×C₄²	C₂³	1	1	yes	characteristic
327	C₂²×C₄²	C₂³	1	1	yes	characteristic
328	C₂²×C₄²	C₂³	1	1	yes	characteristic
329	C₂²×C₄²	C₂³	1	1	yes	characteristic
330	C₂²×C₄²	C₂³	1	1	yes	characteristic
331	C₂²×C₄²	C₂³	1	1	yes	characteristic
332	C₂²×C₄²	C₂³	1	1	yes	characteristic
333	C₂²×C₄²	C₂³	1	1	yes	characteristic
334	C₂²×C₄²	C₂³	1	1	yes	characteristic
335	C₂²×C₄²	C₂³	1	1	yes	characteristic
336	C₂²×C₄²	C₂³	1	1	yes	characteristic
337	C₂²×C₄²	C₂³	1	1	yes	characteristic
338	C₂²×C₄²	C₂³	1	1	yes	characteristic
339	C₂²×C₄²	C₂³	1	1	yes	characteristic
340	C₂²×C₄²	C₂³	1	1	yes	characteristic
341	C₂²×C₄²	C₂³	1	1	yes	characteristic
342	#401	C₂³	1	8	yes	complemented
343	#400	C₂³	1	8	yes	complemented
344	#400	C₂³	1	8	yes	complemented
345	#400	C₂³	1	8	yes	complemented
346	#400	C₂³	1	8	yes	complemented
347	#400	C₂³	1	8	yes	complemented
348	#400	C₂³	1	8	yes	complemented
349	#400	C₂³	1	8	yes	complemented
350	#400	C₂³	1	8	yes	complemented
351	#399	C₂³	1	8	yes	—
352	#399	C₂³	1	8	yes	—
353	#398	C₂³	1	8	yes	complemented
354	#398	C₂³	1	8	yes	complemented
355	#398	C₂³	1	8	yes	complemented
356	#398	C₂³	1	8	yes	complemented
357	#398	C₂³	1	8	yes	complemented
358	#398	C₂³	1	8	yes	complemented
359	#397	C₂³	1	8	yes	—
360	#397	C₂³	1	8	yes	—
361	#397	C₂³	1	8	yes	—
362	#397	C₂³	1	8	yes	—
363	#397	C₂³	1	8	yes	—
364	#397	C₂³	1	8	yes	—
365	#397	C₂³	1	8	yes	—
366	#397	C₂³	1	8	yes	—
367	#397	C₂³	1	8	yes	—
368	#397	C₂³	1	8	yes	—
369	#397	C₂³	1	8	yes	—
370	#396	C₂³	1	8	yes	—
371	#396	C₂³	1	8	yes	—
372	#396	C₂³	1	8	yes	—
373	#396	C₂³	1	8	yes	—
374	#396	C₂³	1	8	yes	—
375	#396	C₂³	1	8	yes	—
376	#395	C₂³	1	8	yes	complemented
377	#395	C₂³	1	8	yes	complemented
378	#395	C₂³	1	8	yes	complemented
379	#393	C₂³	1	8	yes	—
380	#393	C₂³	1	8	yes	—
381	#393	C₂³	1	8	yes	—
382	#391	C₂³	1	8	yes	complemented
383	#391	C₂³	1	8	yes	complemented
384	#391	C₂³	1	8	yes	complemented
385	#391	C₂³	1	8	yes	complemented
386	#389	C₂³	1	8	yes	complemented
387	#389	C₂³	1	8	yes	complemented
388	#389	C₂³	1	8	yes	complemented
389	#389	C₂³	1	8	yes	complemented
390	#389	C₂³	1	8	yes	complemented
391	#388	C₂³	1	8	yes	—
392	#388	C₂³	1	8	yes	—
393	#388	C₂³	1	8	yes	—
394	#388	C₂³	1	8	yes	—
395	#388	C₂³	1	8	yes	—
396	#388	C₂³	1	8	yes	—
397	#388	C₂³	1	8	yes	—
398	#388	C₂³	1	8	yes	—
399	#388	C₂³	1	8	yes	—
400	#388	C₂³	1	8	yes	—
401	#388	C₂³	1	8	yes	—
402	#388	C₂³	1	8	yes	—
403	#388	C₂³	1	8	yes	—
404	#388	C₂³	1	8	yes	—
405	#388	C₂³	1	8	yes	—
406	#388	C₂³	1	8	yes	—
407	#388	C₂³	1	8	yes	—
408	#388	C₂³	1	8	yes	—
409	#388	C₂³	1	8	yes	—
410	#388	C₂³	1	8	yes	—
411	#388	C₂³	1	8	yes	—
412	#388	C₂³	1	8	yes	—
413	#388	C₂³	1	8	yes	—
414	#388	C₂³	1	8	yes	—
415	#387	C₂³	1	8	yes	complemented
416	#387	C₂³	1	8	yes	complemented
417	#387	C₂³	1	8	yes	complemented
418	#387	C₂³	1	8	yes	complemented
419	#387	C₂³	1	8	yes	complemented
420	#387	C₂³	1	8	yes	complemented
421	#387	C₂³	1	8	yes	complemented
422	#387	C₂³	1	8	yes	complemented
423	#387	C₂³	1	8	yes	complemented
424	#387	C₂³	1	8	yes	complemented
425	#387	C₂³	1	8	yes	complemented
426	#387	C₂³	1	8	yes	complemented
427	#387	C₂³	1	8	yes	complemented
428	#387	C₂³	1	8	yes	complemented
429	#387	C₂³	1	8	yes	complemented
430	#387	C₂³	1	8	yes	complemented
431	#387	C₂³	1	8	yes	complemented
432	#387	C₂³	1	8	yes	complemented
433	#387	C₂³	1	8	yes	complemented
434	#387	C₂³	1	8	yes	complemented
435	#387	C₂³	1	8	yes	complemented
436	#385	C₂³	1	8	yes	—
437	#385	C₂³	1	8	yes	—
438	#385	C₂³	1	8	yes	—
439	#385	C₂³	1	8	yes	—
440	#385	C₂³	1	8	yes	—
441	#385	C₂³	1	8	yes	—
442	#385	C₂³	1	8	yes	—
443	#385	C₂³	1	8	yes	—
444	#385	C₂³	1	8	yes	—
445	#385	C₂³	1	8	yes	—
446	#385	C₂³	1	8	yes	—
447	#385	C₂³	1	8	yes	—
448	#384	C₂³	1	8	yes	complemented
449	#383	C₂³	1	8	yes	complemented
450	#382	C₂³	1	8	yes	complemented
451	#382	C₂³	1	8	yes	complemented
452	#382	C₂³	1	8	yes	complemented
453	#382	C₂³	1	8	yes	complemented
454	#381	C₂³	1	8	yes	—
455	#381	C₂³	1	8	yes	—
456	#381	C₂³	1	8	yes	—
457	#381	C₂³	1	8	yes	—
458	#380	C₂³	1	8	yes	—
459	#380	C₂³	1	8	yes	—
460	#380	C₂³	1	8	yes	—
461	#380	C₂³	1	8	yes	—
462	#380	C₂³	1	8	yes	—
463	#380	C₂³	1	8	yes	—
464	#379	C₂³	1	8	yes	—
465	#379	C₂³	1	8	yes	—
466	#379	C₂³	1	8	yes	—
467	#379	C₂³	1	8	yes	—
468	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
469	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
470	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
471	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
472	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
473	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
474	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
475	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
476	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
477	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
478	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
479	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
480	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
481	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
482	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
483	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
484	#376	C₂³	1	8	yes	complemented
485	C₂×#95	C₂³	1	1	yes	characteristic
486	C₂×#95	C₂³	1	1	yes	characteristic
487	C₂×#95	C₂³	1	1	yes	characteristic
488	C₂×#95	C₂³	1	1	yes	characteristic
489	C₂×#95	C₂³	1	1	yes	characteristic
490	C₂×#95	C₂³	1	1	yes	characteristic
491	C₂×#95	C₂³	1	1	yes	characteristic
492	C₂×#95	C₂³	1	1	yes	characteristic
493	C₂×#95	C₂³	1	1	yes	characteristic
494	C₂×#95	C₂³	1	1	yes	characteristic
495	C₂×#95	C₂³	1	1	yes	characteristic
496	C₂×#95	C₂³	1	1	yes	characteristic
497	C₂×#95	C₂³	1	1	yes	characteristic
498	C₂×#95	C₂³	1	1	yes	characteristic
499	C₂×#95	C₂³	1	1	yes	characteristic
500	C₂×#95	C₂³	1	1	yes	characteristic
501	C₂×#95	C₂³	1	1	yes	characteristic
502	C₂×#95	C₂³	1	1	yes	characteristic
503	C₂×#95	C₂³	1	1	yes	characteristic
504	C₂×#95	C₂³	1	1	yes	characteristic
505	C₂×#95	C₂³	1	1	yes	characteristic
506	C₂×#95	C₂³	1	1	yes	characteristic
507	C₂×#95	C₂³	1	1	yes	characteristic
508	C₂×#95	C₂³	1	1	yes	characteristic
509	C₂×#95	C₂³	1	1	yes	characteristic
510	C₂×#95	C₂³	1	1	yes	characteristic
511	C₂×#95	C₂³	1	1	yes	characteristic
512	C₂×#95	C₂³	1	1	yes	characteristic
513	C₂×#95	C₂³	1	1	yes	characteristic
514	C₂×#95	C₂³	1	1	yes	characteristic
515	C₂×#95	C₂³	1	1	yes	characteristic
516	C₂×#95	C₂³	1	1	yes	characteristic
517	C₂×#95	C₂³	1	1	yes	characteristic
518	C₂×#95	C₂³	1	1	yes	characteristic
519	C₂×#95	C₂³	1	1	yes	characteristic
520	C₂×#95	C₂³	1	1	yes	characteristic
521	C₂×#95	C₂³	1	1	yes	characteristic
522	C₂×#95	C₂³	1	1	yes	characteristic
523	C₂×#95	C₂³	1	1	yes	characteristic
524	C₂×#95	C₂³	1	1	yes	characteristic
525	C₂×#95	C₂³	1	1	yes	characteristic
526	C₂×#95	C₂³	1	1	yes	characteristic
527	C₂×#95	C₂³	1	1	yes	characteristic
528	C₂×#95	C₂³	1	1	yes	characteristic
529	C₂×#95	C₂³	1	1	yes	characteristic
530	C₂×#95	C₂³	1	1	yes	characteristic
531	C₂×#95	C₂³	1	1	yes	characteristic
532	C₂×#95	C₂³	1	1	yes	characteristic
533	C₂×#95	C₂³	1	1	yes	characteristic
534	C₂×#95	C₂³	1	1	yes	characteristic
535	C₂×#95	C₂³	1	1	yes	characteristic
536	C₂×#95	C₂³	1	1	yes	characteristic
537	C₂×#95	C₂³	1	1	yes	characteristic
538	C₂×#95	C₂³	1	1	yes	characteristic
539	C₂×#95	C₂³	1	1	yes	characteristic
540	C₂×#95	C₂³	1	1	yes	characteristic
541	C₂⁵	—	2	4	no	—
542	C₂⁵	—	2	4	no	—
543	C₂⁵	—	2	4	no	—
544	C₂⁵	—	4	2	no	—
545	C₂⁵	—	4	2	no	—
546	C₂⁵	—	4	2	no	—
547	C₂⁵	—	4	2	no	—
548	C₂⁵	C₂⁴	1	1	yes	characteristic
549	C₂⁵	C₂⁴	1	1	yes	characteristic
550	C₂⁵	C₂⁴	1	1	yes	characteristic
551	C₂⁵	C₂⁴	1	4	yes	—
552	C₂²×Q₈	—	2	4	no	—
553	C₂²×Q₈	—	2	4	no	—
554	C₂²×Q₈	—	4	2	no	—
555	C₂²×Q₈	—	4	2	no	—
556	C₂²×Q₈	—	4	2	no	—
557	C₂²×Q₈	—	4	2	no	—
558	C₂²×Q₈	C₂⁴	1	4	yes	—
559	C₂²×Q₈	C₂⁴	1	4	yes	—
560	C₂³×C₄	—	2	4	no	—
561	C₂³×C₄	—	2	4	no	—
562	C₂³×C₄	—	2	4	no	—
563	C₂³×C₄	—	2	4	no	—
564	C₂³×C₄	—	2	4	no	—
565	C₂³×C₄	—	2	4	no	—
566	C₂³×C₄	—	2	4	no	—
567	C₂³×C₄	—	2	4	no	—
568	C₂³×C₄	—	4	2	no	—
569	C₂³×C₄	—	4	2	no	—
570	C₂³×C₄	—	4	2	no	—
571	C₂³×C₄	—	4	2	no	—
572	C₂³×C₄	—	4	2	no	—
573	C₂³×C₄	—	4	2	no	—
574	C₂³×C₄	—	4	2	no	—
575	C₂³×C₄	—	4	2	no	—
576	C₂³×C₄	—	4	2	no	—
577	C₂³×C₄	—	4	2	no	—
578	C₂³×C₄	C₂⁴	1	1	yes	characteristic
579	C₂³×C₄	C₂⁴	1	1	yes	characteristic
580	C₂³×C₄	C₂⁴	1	1	yes	characteristic
581	C₂³×C₄	C₂⁴	1	1	yes	characteristic
582	C₂³×C₄	C₂⁴	1	1	yes	characteristic
583	C₂³×C₄	C₂⁴	1	1	yes	characteristic
584	C₂³×C₄	C₂⁴	1	1	yes	characteristic
585	C₂³×C₄	C₂⁴	1	1	yes	characteristic
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₂³×C₄	C₂⁴	1	1	yes	characteristic
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄	C₂⁴	1	1	yes	characteristic
593	C₂³×C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₄	C₂⁴	1	1	yes	characteristic
595	C₂³×C₄	C₂⁴	1	1	yes	characteristic
596	C₂³×C₄	C₂⁴	1	1	yes	characteristic
597	C₂³×C₄	C₂⁴	1	1	yes	characteristic
598	C₂³×C₄	C₂⁴	1	1	yes	characteristic
599	C₂³×C₄	C₂⁴	1	1	yes	characteristic
600	C₂³×C₄	C₂⁴	1	1	yes	characteristic
601	C₂³×C₄	C₂⁴	1	4	yes	—
602	C₂³×C₄	C₂⁴	1	4	yes	—
603	C₂³×C₄	C₂⁴	1	1	yes	characteristic
604	C₂³×C₄	C₂⁴	1	1	yes	characteristic
605	C₂³×C₄	C₂⁴	1	1	yes	characteristic
606	C₂³×C₄	C₂⁴	1	1	yes	characteristic
607	C₂³×C₄	C₂⁴	1	1	yes	characteristic
608	C₂³×C₄	C₂⁴	1	4	yes	—
609	C₂³×C₄	C₂⁴	1	4	yes	—
610	C₂³×C₄	C₂⁴	1	4	yes	—
611	C₂³×C₄	C₂⁴	1	4	yes	—
612	#126	—	2	32	no	—
613	#126	—	2	32	no	—
614	#125	—	4	16	no	—
615	C₂²⋊Q₈	—	2	32	no	—
616	C₂²⋊Q₈	—	4	16	no	—
617	C₂²⋊Q₈	—	4	16	no	—
618	C₄×Q₈	—	4	16	no	—
619	#117	—	2	32	no	—
620	#117	—	4	16	no	—
621	C₂×C₄⋊C₄	—	2	4	no	—
622	C₂×C₄⋊C₄	—	2	4	no	—
623	C₂×C₄⋊C₄	—	2	4	no	—
624	C₂×C₄⋊C₄	—	2	4	no	—
625	C₂×C₄⋊C₄	—	2	4	no	—
626	C₂×C₄⋊C₄	—	2	4	no	—
627	C₂×C₄⋊C₄	—	2	4	no	—
628	C₂×C₄⋊C₄	—	2	4	no	—
629	C₂×C₄⋊C₄	—	2	4	no	—
630	C₂×C₄⋊C₄	—	2	4	no	—
631	C₂×C₄⋊C₄	—	2	4	no	—
632	C₂×C₄⋊C₄	—	2	4	no	—
633	C₂×C₄⋊C₄	—	2	4	no	—
634	C₂×C₄⋊C₄	—	2	4	no	—
635	C₂×C₄⋊C₄	—	2	4	no	—
636	C₂×C₄⋊C₄	—	4	2	no	—
637	C₂×C₄⋊C₄	—	4	2	no	—
638	C₂×C₄⋊C₄	—	4	2	no	—
639	C₂×C₄⋊C₄	—	4	2	no	—
640	C₂×C₄⋊C₄	—	4	2	no	—
641	C₂×C₄⋊C₄	—	4	2	no	—
642	C₂×C₄⋊C₄	—	4	2	no	—
643	C₂×C₄⋊C₄	—	4	2	no	—
644	C₂×C₄⋊C₄	—	4	2	no	—
645	C₂×C₄⋊C₄	—	4	2	no	—
646	C₂×C₄⋊C₄	—	4	2	no	—
647	C₂×C₄⋊C₄	—	4	2	no	—
648	C₂×C₄⋊C₄	—	4	2	no	—
649	C₂×C₄⋊C₄	—	4	2	no	—
650	C₂×C₄⋊C₄	—	4	2	no	—
651	C₂×C₄⋊C₄	—	4	2	no	—
652	C₂×C₄⋊C₄	—	4	2	no	—
653	C₂×C₄⋊C₄	—	4	2	no	—
654	C₂×C₄⋊C₄	—	4	2	no	—
655	C₂×C₄⋊C₄	—	4	2	no	—
656	C₂×C₄⋊C₄	—	4	2	no	—
657	C₂×C₄⋊C₄	—	4	2	no	—
658	C₂×C₄⋊C₄	—	4	2	no	—
659	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
660	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
661	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
662	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
664	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
665	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
669	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
675	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
686	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
687	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
690	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
691	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
692	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
693	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
694	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊C₄	—	2	4	no	—
698	C₂×C₂²⋊C₄	—	2	4	no	—
699	C₂×C₂²⋊C₄	—	2	4	no	—
700	C₂×C₂²⋊C₄	—	2	4	no	—
701	C₂×C₂²⋊C₄	—	2	4	no	—
702	C₂×C₂²⋊C₄	—	2	4	no	—
703	C₂×C₂²⋊C₄	—	2	4	no	—
704	C₂×C₂²⋊C₄	—	2	4	no	—
705	C₂×C₂²⋊C₄	—	2	4	no	—
706	C₂×C₂²⋊C₄	—	2	4	no	—
707	C₂×C₂²⋊C₄	—	2	4	no	—
708	C₂×C₂²⋊C₄	—	2	4	no	—
709	C₂×C₂²⋊C₄	—	2	4	no	—
710	C₂×C₂²⋊C₄	—	2	4	no	—
711	C₂×C₂²⋊C₄	—	2	4	no	—
712	C₂×C₂²⋊C₄	—	2	4	no	—
713	C₂×C₂²⋊C₄	—	2	4	no	—
714	C₂×C₂²⋊C₄	—	2	32	no	—
715	C₂×C₂²⋊C₄	—	2	32	no	—
716	C₂×C₂²⋊C₄	—	4	16	no	—
717	C₂×C₂²⋊C₄	—	4	2	no	—
718	C₂×C₂²⋊C₄	—	4	2	no	—
719	C₂×C₂²⋊C₄	—	4	2	no	—
720	C₂×C₂²⋊C₄	—	4	2	no	—
721	C₂×C₂²⋊C₄	—	4	2	no	—
722	C₂×C₂²⋊C₄	—	4	2	no	—
723	C₂×C₂²⋊C₄	—	4	2	no	—
724	C₂×C₂²⋊C₄	—	4	2	no	—
725	C₂×C₂²⋊C₄	—	4	2	no	—
726	C₂×C₂²⋊C₄	—	4	2	no	—
727	C₂×C₂²⋊C₄	—	4	2	no	—
728	C₂×C₂²⋊C₄	—	4	2	no	—
729	C₂×C₂²⋊C₄	—	4	2	no	—
730	C₂×C₂²⋊C₄	—	4	2	no	—
731	C₂×C₂²⋊C₄	—	4	2	no	—
732	C₂×C₂²⋊C₄	—	4	2	no	—
733	C₂×C₂²⋊C₄	—	4	2	no	—
734	C₂×C₂²⋊C₄	#41	1	8	yes	—
735	C₂×C₂²⋊C₄	#41	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄²	—	2	4	no	—
773	C₂×C₄²	—	2	4	no	—
774	C₂×C₄²	—	2	4	no	—
775	C₂×C₄²	—	2	4	no	—
776	C₂×C₄²	—	2	4	no	—
777	C₂×C₄²	—	4	2	no	—
778	C₂×C₄²	—	4	2	no	—
779	C₂×C₄²	—	4	2	no	—
780	C₂×C₄²	—	4	2	no	—
781	C₂×C₄²	—	4	2	no	—
782	C₂×C₄²	—	4	2	no	—
783	C₂×C₄²	—	4	2	no	—
784	C₂×C₄²	—	4	2	no	—
785	C₂×C₄²	—	4	2	no	—
786	C₂×C₄²	—	4	2	no	—
787	C₂×C₄²	—	4	2	no	—
788	C₂×C₄²	C₂⁴	1	4	yes	—
789	C₂×C₄²	C₂⁴	1	4	yes	—
790	C₂×C₄²	C₂⁴	1	4	yes	—
791	C₂×C₄²	C₂⁴	1	4	yes	—
792	C₂×C₄²	C₂⁴	1	4	yes	—
793	C₂×C₄²	C₂⁴	1	4	yes	—
794	C₂×C₄²	C₂⁴	1	4	yes	—
795	C₂×C₄²	C₂⁴	1	4	yes	—
796	C₂×C₄²	C₂⁴	1	4	yes	—
797	C₂×C₄²	C₂⁴	1	4	yes	—
798	C₂×C₄²	C₂⁴	1	4	yes	—
799	C₂×C₄²	C₂⁴	1	4	yes	—
800	C₂×C₄²	C₂⁴	1	4	yes	—
801	C₂×C₄²	C₂⁴	1	4	yes	—
802	C₂×C₄²	C₂⁴	1	4	yes	—
803	C₂×C₄²	C₂⁴	1	4	yes	—
804	#95	C₂⁴	1	4	yes	—
805	#95	C₂⁴	1	4	yes	—
806	#95	C₂⁴	1	4	yes	—
807	#95	C₂⁴	1	4	yes	—
808	#95	C₂⁴	1	4	yes	—
809	#95	C₂⁴	1	4	yes	—
810	#95	C₂⁴	1	4	yes	—
811	#95	C₂⁴	1	4	yes	—
812	#95	C₂⁴	1	4	yes	—
813	#95	C₂⁴	1	4	yes	—
814	#95	C₂⁴	1	4	yes	—
815	#95	C₂⁴	1	4	yes	—
816	#95	C₂⁴	1	4	yes	—
817	#95	C₂⁴	1	4	yes	—
818	#95	C₂⁴	1	4	yes	—
819	#95	C₂⁴	1	4	yes	—
820	#95	C₂⁴	1	4	yes	—
821	#95	C₂⁴	1	4	yes	—
822	#95	C₂⁴	1	4	yes	—
823	#95	C₂⁴	1	4	yes	—
824	#95	C₂⁴	1	4	yes	—
825	#95	C₂⁴	1	4	yes	—
826	#95	C₂⁴	1	4	yes	—
827	#95	C₂⁴	1	4	yes	—
828	#95	C₂⁴	1	4	yes	—
829	#95	C₂⁴	1	4	yes	—
830	#95	C₂⁴	1	4	yes	—
831	#95	C₂⁴	1	4	yes	—
832	#95	C₂⁴	1	4	yes	—
833	#95	C₂⁴	1	4	yes	—
834	#95	C₂⁴	1	4	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	4	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	4	yes	—
839	#95	C₂⁴	1	4	yes	—
840	#95	C₂⁴	1	4	yes	—
841	#95	C₂⁴	1	4	yes	—
842	#95	C₂⁴	1	4	yes	—
843	#95	C₂⁴	1	4	yes	—
844	#95	C₂⁴	1	4	yes	—
845	#95	C₂⁴	1	4	yes	—
846	#95	C₂⁴	1	4	yes	—
847	#95	C₂⁴	1	4	yes	—
848	#95	C₂⁴	1	4	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	4	yes	—
852	#95	C₂⁴	1	4	yes	—
853	#95	C₂⁴	1	4	yes	—
854	#95	C₂⁴	1	4	yes	—
855	#95	C₂⁴	1	4	yes	—
856	#95	C₂⁴	1	4	yes	—
857	#95	C₂⁴	1	4	yes	—
858	#95	C₂⁴	1	4	yes	—
859	#95	C₂⁴	1	4	yes	—
860	C₂⁴	—	2	2	no	—
861	C₂⁴	—	2	2	no	—
862	C₂⁴	—	2	2	no	—
863	C₂⁴	—	2	2	no	—
864	C₂⁴	—	2	2	no	—
865	C₂⁴	—	2	2	no	—
866	C₂⁴	—	2	2	no	—
867	C₂⁴	—	2	2	no	—
868	C₂⁴	—	2	2	no	—
869	C₂⁴	—	2	2	no	—
870	C₂⁴	—	2	2	no	—
871	C₂⁴	—	2	2	no	—
872	C₂⁴	—	2	2	no	—
873	C₂⁴	—	2	2	no	—
874	C₂⁴	—	2	2	no	—
875	C₂⁴	—	2	2	no	—
876	C₂⁴	—	2	2	no	—
877	C₂⁴	—	2	2	no	—
878	C₂⁴	—	2	8	no	—
879	C₂⁴	—	2	8	no	—
880	C₂⁴	—	2	8	no	—
881	C₂⁴	—	4	4	no	—
882	C₂⁴	—	4	4	no	—
883	C₂⁴	—	4	4	no	—
884	C₂⁴	—	4	4	no	—
885	C₂⁴	—	4	16	no	—
886	C₂⁴	—	4	16	no	—
887	C₂⁴	—	4	16	no	—
888	C₂⁴	—	8	8	no	—
889	C₂⁴	—	8	8	no	—
890	C₂⁴	—	8	8	no	—
891	C₂⁴	—	8	8	no	—
892	C₂⁴	C₂×#41	1	4	yes	—
893	C₂⁴	C₂×#41	1	4	yes	—
894	C₂⁴	2₋¹⁺⁴	1	4	yes	—
895	C₂⁴	C₂⁵	1	2	yes	—
896	C₂⁴	C₂⁵	1	2	yes	—
897	C₂⁴	C₂⁵	1	2	yes	—
898	C₂⁴	C₂⁵	1	1	yes	characteristic
899	C₂×Q₈	—	2	8	no	—
900	C₂×Q₈	—	2	8	no	—
901	C₂×Q₈	—	4	4	no	—
902	C₂×Q₈	—	4	4	no	—
903	C₂×Q₈	—	4	4	no	—
904	C₂×Q₈	—	4	4	no	—
905	C₂×Q₈	—	4	16	no	—
906	C₂×Q₈	—	8	8	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	8	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	8	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	2	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	2	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	2	no	—
982	C₂²×C₄	—	2	2	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	8	no	—
989	C₂²×C₄	—	2	8	no	—
990	C₂²×C₄	—	2	8	no	—
991	C₂²×C₄	—	2	8	no	—
992	C₂²×C₄	—	2	8	no	—
993	C₂²×C₄	—	2	8	no	—
994	C₂²×C₄	—	4	4	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	—	4	4	no	—
997	C₂²×C₄	—	4	4	no	—
998	C₂²×C₄	—	4	4	no	—
999	C₂²×C₄	—	4	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	4	no	—
1002	C₂²×C₄	—	4	4	no	—
1003	C₂²×C₄	—	4	4	no	—
1004	C₂²×C₄	—	4	16	no	—
1005	C₂²×C₄	—	4	16	no	—
1006	C₂²×C₄	—	8	8	no	—
1007	C₂²×C₄	—	8	8	no	—
1008	C₂²×C₄	—	8	8	no	—
1009	C₂²×C₄	—	8	8	no	—
1010	C₂²×C₄	C₂×#41	1	4	yes	—
1011	C₂²×C₄	C₂×#41	1	4	yes	—
1012	C₂²×C₄	C₂×#41	1	4	yes	—
1013	C₂²×C₄	C₂×#41	1	4	yes	—
1014	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1015	C₂²×C₄	C₂⁵	1	2	yes	—
1016	C₂²×C₄	C₂⁵	1	2	yes	—
1017	C₂²×C₄	C₂⁵	1	2	yes	—
1018	C₂²×C₄	C₂⁵	1	2	yes	—
1019	C₂²×C₄	C₂⁵	1	2	yes	—
1020	C₂²×C₄	C₂⁵	1	2	yes	—
1021	C₂²×C₄	C₂⁵	1	2	yes	—
1022	C₂²×C₄	C₂⁵	1	2	yes	—
1023	C₂²×C₄	C₂⁵	1	2	yes	—
1024	C₂²×C₄	C₂⁵	1	2	yes	—
1025	C₂²×C₄	C₂⁵	1	2	yes	—
1026	C₂²×C₄	C₂⁵	1	2	yes	—
1027	C₂²×C₄	C₂⁵	1	2	yes	—
1028	C₂²×C₄	C₂⁵	1	2	yes	—
1029	C₂²×C₄	C₂⁵	1	2	yes	—
1030	C₂²×C₄	C₂⁵	1	2	yes	—
1031	C₂²×C₄	C₂⁵	1	2	yes	—
1032	C₂²×C₄	C₂⁵	1	2	yes	—
1033	C₂²×C₄	C₂⁵	1	2	yes	—
1034	C₂²×C₄	C₂⁵	1	2	yes	—
1035	C₂²×C₄	C₂⁵	1	2	yes	—
1036	C₂²×C₄	C₂⁵	1	2	yes	—
1037	C₂²×C₄	C₂⁵	1	2	yes	—
1038	C₂²×C₄	C₂⁵	1	2	yes	—
1039	C₂²×C₄	C₂⁵	1	2	yes	—
1040	C₂²×C₄	C₂⁵	1	2	yes	—
1041	C₂²×C₄	C₂⁵	1	2	yes	—
1042	C₂²×C₄	C₂⁵	1	2	yes	—
1043	C₄⋊C₄	—	2	8	no	—
1044	C₄⋊C₄	—	2	8	no	—
1045	C₄⋊C₄	—	2	8	no	—
1046	C₄⋊C₄	—	2	8	no	—
1047	C₄⋊C₄	—	2	8	no	—
1048	C₄⋊C₄	—	2	8	no	—
1049	C₄⋊C₄	—	2	8	no	—
1050	C₄⋊C₄	—	2	8	no	—
1051	C₄⋊C₄	—	2	8	no	—
1052	C₄⋊C₄	—	2	8	no	—
1053	C₄⋊C₄	—	2	8	no	—
1054	C₄⋊C₄	—	2	8	no	—
1055	C₄⋊C₄	—	2	8	no	—
1056	C₄⋊C₄	—	2	8	no	—
1057	C₄⋊C₄	—	2	8	no	—
1058	C₄⋊C₄	—	4	4	no	—
1059	C₄⋊C₄	—	4	4	no	—
1060	C₄⋊C₄	—	4	4	no	—
1061	C₄⋊C₄	—	4	4	no	—
1062	C₄⋊C₄	—	4	4	no	—
1063	C₄⋊C₄	—	4	4	no	—
1064	C₄⋊C₄	—	4	4	no	—
1065	C₄⋊C₄	—	4	4	no	—
1066	C₄⋊C₄	—	4	4	no	—
1067	C₄⋊C₄	—	4	4	no	—
1068	C₄⋊C₄	—	4	4	no	—
1069	C₄⋊C₄	—	4	4	no	—
1070	C₄⋊C₄	—	4	4	no	—
1071	C₄⋊C₄	—	4	4	no	—
1072	C₄⋊C₄	—	4	4	no	—
1073	C₄⋊C₄	—	4	4	no	—
1074	C₄⋊C₄	—	4	4	no	—
1075	C₄⋊C₄	—	4	4	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	4	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₂²⋊C₄	—	2	8	no	—
1082	C₂²⋊C₄	—	2	8	no	—
1083	C₂²⋊C₄	—	2	8	no	—
1084	C₂²⋊C₄	—	2	8	no	—
1085	C₂²⋊C₄	—	2	8	no	—
1086	C₂²⋊C₄	—	2	8	no	—
1087	C₂²⋊C₄	—	2	8	no	—
1088	C₂²⋊C₄	—	2	8	no	—
1089	C₂²⋊C₄	—	2	8	no	—
1090	C₂²⋊C₄	—	2	8	no	—
1091	C₂²⋊C₄	—	2	8	no	—
1092	C₂²⋊C₄	—	2	8	no	—
1093	C₂²⋊C₄	—	2	8	no	—
1094	C₂²⋊C₄	—	2	8	no	—
1095	C₂²⋊C₄	—	2	8	no	—
1096	C₂²⋊C₄	—	2	8	no	—
1097	C₂²⋊C₄	—	2	8	no	—
1098	C₂²⋊C₄	—	4	4	no	—
1099	C₂²⋊C₄	—	4	4	no	—
1100	C₂²⋊C₄	—	4	4	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	4	4	no	—
1104	C₂²⋊C₄	—	4	4	no	—
1105	C₂²⋊C₄	—	4	4	no	—
1106	C₂²⋊C₄	—	4	4	no	—
1107	C₂²⋊C₄	—	4	4	no	—
1108	C₂²⋊C₄	—	4	4	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	4	no	—
1111	C₂²⋊C₄	—	4	4	no	—
1112	C₂²⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	4	4	no	—
1114	C₂²⋊C₄	—	4	4	no	—
1115	C₂²⋊C₄	C₂×#41	1	16	yes	—
1116	C₂²⋊C₄	C₂×#41	1	16	yes	—
1117	C₄²	—	2	8	no	—
1118	C₄²	—	2	8	no	—
1119	C₄²	—	2	8	no	—
1120	C₄²	—	2	8	no	—
1121	C₄²	—	2	8	no	—
1122	C₄²	—	4	4	no	—
1123	C₄²	—	4	4	no	—
1124	C₄²	—	4	4	no	—
1125	C₄²	—	4	4	no	—
1126	C₄²	—	4	4	no	—
1127	C₄²	—	4	4	no	—
1128	C₄²	—	4	4	no	—
1129	C₄²	—	4	4	no	—
1130	C₄²	—	4	4	no	—
1131	C₄²	—	4	4	no	—
1132	C₄²	—	4	4	no	—
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	2	no	—
1137	C₂³	—	2	2	no	—
1138	C₂³	—	2	2	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	2	2	no	—
1142	C₂³	—	2	2	no	—
1143	C₂³	—	2	2	no	—
1144	C₂³	—	2	2	no	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	2	no	—
1147	C₂³	—	2	2	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	8	no	—
1152	C₂³	—	2	8	no	—
1153	C₂³	—	2	8	no	—
1154	C₂³	—	2	8	no	—
1155	C₂³	—	2	8	no	—
1156	C₂³	—	2	8	no	—
1157	C₂³	—	2	8	no	—
1158	C₂³	—	2	8	no	—
1159	C₂³	—	2	8	no	—
1160	C₂³	—	4	16	no	—
1161	C₂³	—	4	16	no	—
1162	C₂³	—	4	16	no	—
1163	C₂³	—	4	4	no	—
1164	C₂³	—	4	4	no	—
1165	C₂³	—	4	4	no	—
1166	C₂³	—	4	4	no	—
1167	C₂³	—	4	4	no	—
1168	C₂³	—	4	4	no	—
1169	C₂³	—	4	4	no	—
1170	C₂³	—	4	4	no	—
1171	C₂³	—	4	4	no	—
1172	C₂³	—	4	4	no	—
1173	C₂³	—	4	4	no	—
1174	C₂³	—	4	4	no	—
1175	C₂³	—	8	8	no	—
1176	C₂³	—	8	8	no	—
1177	C₂³	—	8	8	no	—
1178	C₂³	—	8	8	no	—
1179	C₂³	—	8	64	no	—
1180	C₂³	C₂²×#41	1	4	yes	—
1181	C₂³	C₂²×#41	1	4	yes	—
1182	C₂³	C₂²×#41	1	2	yes	—
1183	C₂³	C₂²×#41	1	2	yes	—
1184	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1185	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1186	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1187	C₂³	#585	1	2	yes	—
1188	C₂³	#585	1	2	yes	—
1189	C₂³	#585	1	2	yes	—
1190	C₂³	C₂⁶	1	1	yes	characteristic
1191	Q₈	—	4	16	no	—
1192	Q₈	—	8	8	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	8	no	—
1204	C₂×C₄	—	2	8	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	2	8	no	—
1207	C₂×C₄	—	2	8	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	4	16	no	—
1278	C₂×C₄	—	4	16	no	—
1279	C₂×C₄	—	4	4	no	—
1280	C₂×C₄	—	4	4	no	—
1281	C₂×C₄	—	4	4	no	—
1282	C₂×C₄	—	4	4	no	—
1283	C₂×C₄	—	4	4	no	—
1284	C₂×C₄	—	4	4	no	—
1285	C₂×C₄	—	4	4	no	—
1286	C₂×C₄	—	4	4	no	—
1287	C₂×C₄	—	4	4	no	—
1288	C₂×C₄	—	4	4	no	—
1289	C₂×C₄	—	4	4	no	—
1290	C₂×C₄	—	4	4	no	—
1291	C₂×C₄	—	4	4	no	—
1292	C₂×C₄	—	4	4	no	—
1293	C₂×C₄	—	4	4	no	—
1294	C₂×C₄	—	4	4	no	—
1295	C₂×C₄	—	4	4	no	—
1296	C₂×C₄	—	4	4	no	—
1297	C₂×C₄	—	4	4	no	—
1298	C₂×C₄	—	4	4	no	—
1299	C₂×C₄	—	4	4	no	—
1300	C₂×C₄	—	4	4	no	—
1301	C₂×C₄	—	4	4	no	—
1302	C₂×C₄	—	8	8	no	—
1303	C₂×C₄	—	8	8	no	—
1304	C₂×C₄	—	8	8	no	—
1305	C₂×C₄	—	8	8	no	—
1306	C₂×C₄	C₂²×#41	1	4	yes	—
1307	C₂×C₄	C₂²×#41	1	4	yes	—
1308	C₂×C₄	C₂²×#41	1	4	yes	—
1309	C₂×C₄	C₂²×#41	1	4	yes	—
1310	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	4	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	4	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	4	no	—
1320	C₂²	—	4	2	no	—
1321	C₂²	—	4	2	no	—
1322	C₂²	—	4	2	no	—
1323	C₂²	—	4	2	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	4	16	no	—
1326	C₂²	—	4	16	no	—
1327	C₂²	—	4	16	no	—
1328	C₂²	—	4	2	no	—
1329	C₂²	—	4	2	no	—
1330	C₂²	—	4	2	no	—
1331	C₂²	—	4	2	no	—
1332	C₂²	—	4	2	no	—
1333	C₂²	—	4	2	no	—
1334	C₂²	—	4	2	no	—
1335	C₂²	—	8	32	no	—
1336	C₂²	#3475	1	4	yes	—
1337	C₂²	#3495	1	4	yes	—
1338	C₂²	#3514	1	4	yes	—
1339	C₂²	#3520	1	4	yes	—
1340	C₂²	#3521	1	4	yes	—
1341	C₂²	#3533	1	4	yes	—
1342	C₂²	#3564	1	4	yes	—
1343	C₂²	C₂³×#41	1	1	yes	characteristic
1344	C₂²	C₂³×#41	1	1	yes	characteristic
1345	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1346	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1347	C₂²	C₂×#585	1	1	yes	characteristic
1348	C₂²	C₂×#585	1	1	yes	characteristic
1349	C₂²	C₂×#585	1	1	yes	characteristic
1350	C₄	—	2	4	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	4	no	—
1353	C₄	—	2	4	no	—
1354	C₄	—	2	4	no	—
1355	C₄	—	4	2	no	—
1356	C₄	—	4	2	no	—
1357	C₄	—	4	2	no	—
1358	C₄	—	4	2	no	—
1359	C₄	—	4	2	no	—
1360	C₄	—	4	2	no	—
1361	C₄	—	4	2	no	—
1362	C₄	—	4	2	no	—
1363	C₄	—	4	2	no	—
1364	C₄	—	4	2	no	—
1365	C₄	—	4	2	no	—
1366	C₄	—	4	2	no	—
1367	C₄	—	4	2	no	—
1368	C₄	—	4	2	no	—
1369	C₄	—	4	2	no	—
1370	C₄	—	4	2	no	—
1371	C₄	—	4	2	no	—
1372	C₄	—	4	2	no	—
1373	C₄	—	4	2	no	—
1374	C₄	—	4	2	no	—
1375	C₄	—	4	2	no	—
1376	C₄	—	4	2	no	—
1377	C₄	—	4	2	no	—
1378	C₂	—	4	4	no	—
1379	C₂	—	4	4	no	—
1380	C₂	—	4	4	no	—
1381	C₂	#44048	1	8	yes	direct product factor
1382	C₂	C₂×#3475	1	1	yes	characteristic
1383	C₂	C₂×#3533	1	1	yes	characteristic
1384	C₂	C₂×#3564	1	1	yes	characteristic
1385	C₂	C₂×#3520	1	1	yes	characteristic
1386	C₂	C₂×#3514	1	1	yes	characteristic
1387	C₂	C₂×#3521	1	1	yes	characteristic
1388	C₂	C₂×#3495	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁶
prime radical	C₂⁶	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#2788	C₂	semidirect
2. C₂×#2770	C₂	semidirect
3. C₂×#2765	C₂	semidirect
4. C₂×#2745	C₂	semidirect
5. C₂×#2744	C₂	semidirect
7. C₂×#2720	C₂	semidirect
8. C₂×#2698	C₂	semidirect
9. #44048	C₂	direct (N × H)
10. C₂×#2577	C₂	semidirect
11. C₂×#2575	C₂	semidirect
13. C₂×#2574	C₂	semidirect
14. C₂×#2527	C₂	semidirect
15. C₂×#2489	C₂	semidirect
16. C₂×#2515	C₂	semidirect
17. C₂×#2497	C₂	semidirect
18. C₂×#2517	C₂	semidirect
19. C₂×#2478	C₂	semidirect
20. C₂×#2475	C₂	semidirect
21. C₂×#2421	C₂	semidirect
22. C₂×#2465	C₂	semidirect
26. C₂×#2396	C₂	semidirect
27. C₂×#2373	C₂	semidirect
28. C₂×#2373	C₂	semidirect
31. C₂×#2332	C₂	semidirect
32. C₂×#2314	C₂	semidirect
35. C₂²×#125	C₂²	semidirect
39. C₂²×C₄×Q₈	C₂²	semidirect
45. #2788	C₂²	semidirect
46. #2770	C₂²	semidirect
47. #2765	C₂²	semidirect
48. #2745	C₂²	semidirect
49. #2744	C₂²	semidirect
51. #2720	C₂²	semidirect
52. #2698	C₂²	semidirect
53. #2577	C₂²	semidirect
54. #2575	C₂²	semidirect
55. #2574	C₂²	semidirect
57. #2527	C₂²	semidirect
58. #2517	C₂²	semidirect
59. #2515	C₂²	semidirect
60. #2497	C₂²	semidirect
61. #2489	C₂²	semidirect
64. #2478	C₂²	semidirect
65. #2475	C₂²	semidirect
66. #2465	C₂²	semidirect
68. #2421	C₂²	semidirect
69. C₂×#401	C₂²	semidirect
70. #2396	C₂²	semidirect
71. C₂×#400	C₂²	semidirect
72. C₂×#400	C₂²	semidirect
73. C₂×#400	C₂²	semidirect
74. C₂×#400	C₂²	semidirect
75. C₂×#400	C₂²	semidirect
76. C₂×#400	C₂²	semidirect
77. C₂×#400	C₂²	semidirect
78. C₂×#400	C₂²	semidirect
81. C₂×#398	C₂²	semidirect
82. C₂×#398	C₂²	semidirect
83. C₂×#398	C₂²	semidirect
84. C₂×#398	C₂²	semidirect
85. C₂×#398	C₂²	semidirect
86. C₂×#398	C₂²	semidirect
104. C₂×#395	C₂²	semidirect
105. C₂×#395	C₂²	semidirect
106. C₂×#395	C₂²	semidirect
110. #2373	C₂²	semidirect
111. #2373	C₂²	semidirect
114. #2332	C₂²	semidirect
115. #2314	C₂²	semidirect
116. C₂×#391	C₂²	semidirect
117. C₂×#391	C₂²	semidirect
118. C₂×#391	C₂²	semidirect
119. C₂×#391	C₂²	semidirect
120. C₂×#389	C₂²	semidirect
121. C₂×#389	C₂²	semidirect
122. C₂×#389	C₂²	semidirect
123. C₂×#389	C₂²	semidirect
124. C₂×#389	C₂²	semidirect
149. C₂×#387	C₂²	semidirect
150. C₂×#387	C₂²	semidirect
151. C₂×#387	C₂²	semidirect
152. C₂×#387	C₂²	semidirect
153. C₂×#387	C₂²	semidirect
154. C₂×#387	C₂²	semidirect
155. C₂×#387	C₂²	semidirect
156. C₂×#387	C₂²	semidirect
157. C₂×#387	C₂²	semidirect
158. C₂×#387	C₂²	semidirect
159. C₂×#387	C₂²	semidirect
160. C₂×#387	C₂²	semidirect
161. C₂×#387	C₂²	semidirect
162. C₂×#387	C₂²	semidirect
163. C₂×#387	C₂²	semidirect
164. C₂×#387	C₂²	semidirect
165. C₂×#387	C₂²	semidirect
166. C₂×#387	C₂²	semidirect
167. C₂×#387	C₂²	semidirect
168. C₂×#387	C₂²	semidirect
169. C₂×#387	C₂²	semidirect
182. C₂×#384	C₂²	semidirect
183. C₂×#383	C₂²	semidirect
184. C₂×#382	C₂²	semidirect
185. C₂×#382	C₂²	semidirect
186. C₂×#382	C₂²	semidirect
187. C₂×#382	C₂²	semidirect
202. C₂×C₄×C₄⋊C₄	C₂²	semidirect
203. C₂×C₄×C₄⋊C₄	C₂²	semidirect
204. C₂×C₄×C₄⋊C₄	C₂²	semidirect
205. C₂×C₄×C₄⋊C₄	C₂²	semidirect
206. C₂×C₄×C₄⋊C₄	C₂²	semidirect
207. C₂×C₄×C₄⋊C₄	C₂²	semidirect
208. C₂×C₄×C₄⋊C₄	C₂²	semidirect
218. C₂×#376	C₂²	semidirect
233. C₂×#125	C₂³	semidirect
241. C₂×C₄×Q₈	C₂³	semidirect
342. #401	C₂³	semidirect
343. #400	C₂³	semidirect
344. #400	C₂³	semidirect
345. #400	C₂³	semidirect
346. #400	C₂³	semidirect
347. #400	C₂³	semidirect
348. #400	C₂³	semidirect
349. #400	C₂³	semidirect
350. #400	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
376. #395	C₂³	semidirect
377. #395	C₂³	semidirect
378. #395	C₂³	semidirect
382. #391	C₂³	semidirect
383. #391	C₂³	semidirect
384. #391	C₂³	semidirect
385. #391	C₂³	semidirect
386. #389	C₂³	semidirect
387. #389	C₂³	semidirect
388. #389	C₂³	semidirect
389. #389	C₂³	semidirect
390. #389	C₂³	semidirect
415. #387	C₂³	semidirect
416. #387	C₂³	semidirect
417. #387	C₂³	semidirect
418. #387	C₂³	semidirect
419. #387	C₂³	semidirect
420. #387	C₂³	semidirect
421. #387	C₂³	semidirect
422. #387	C₂³	semidirect
423. #387	C₂³	semidirect
424. #387	C₂³	semidirect
425. #387	C₂³	semidirect
426. #387	C₂³	semidirect
427. #387	C₂³	semidirect
428. #387	C₂³	semidirect
429. #387	C₂³	semidirect
430. #387	C₂³	semidirect
431. #387	C₂³	semidirect
432. #387	C₂³	semidirect
433. #387	C₂³	semidirect
434. #387	C₂³	semidirect
435. #387	C₂³	semidirect
448. #384	C₂³	semidirect
449. #383	C₂³	semidirect
450. #382	C₂³	semidirect
451. #382	C₂³	semidirect
452. #382	C₂³	semidirect
453. #382	C₂³	semidirect
468. C₄×C₄⋊C₄	C₂³	semidirect
469. C₄×C₄⋊C₄	C₂³	semidirect
470. C₄×C₄⋊C₄	C₂³	semidirect
471. C₄×C₄⋊C₄	C₂³	semidirect
472. C₄×C₄⋊C₄	C₂³	semidirect
473. C₄×C₄⋊C₄	C₂³	semidirect
474. C₄×C₄⋊C₄	C₂³	semidirect
484. #376	C₂³	semidirect
1381. C₂	#44048	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#2788	2
C₂×#2770	2
C₂×#2765	2
C₂×#2745	2
C₂×#2744	2
C₂×#2735	2
C₂×#2720	2
C₂×#2698	2
#44048	2
C₂×#2577	2
C₂×#2575	2
C₂×#2561	2
C₂×#2574	2
C₂×#2527	2
C₂×#2489	2
C₂×#2515	2
C₂×#2497	2
C₂×#2517	2
C₂×#2478	2
C₂×#2475	2
C₂×#2421	2
C₂×#2465	2
C₂×#2480	2
C₂×#2437	2
C₂×#2396	2
C₂×#2373	2
C₂×#2342	2
C₂×#2332	2
C₂×#2314	2

Subgroups — C2×#44048 #7668481

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#44048 #7668481