Subgroups — C₂×#47461 #7700869

Order 512.

5324 conjugacy classes of subgroups.

The subgroup lattice has 1416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2795	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2785	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2783	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2741	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2741	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2740	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2737	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2736	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2735	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2721	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2685	C₂	1	1	yes	maximal, characteristic
12	C₂×#2685	C₂	1	1	yes	maximal, characteristic
13	#47461	C₂	1	32	yes	maximal, direct product factor
14	C₂×#2841	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2604	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2596	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2593	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2593	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2575	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2558	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2534	C₂	1	1	yes	maximal, characteristic
22	C₂×#2482	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2485	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2525	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2515	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2519	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2458	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2469	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#2319	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#2314	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2312	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×#123	C₂²	1	1	yes	characteristic
37	C₂²×#120	C₂²	1	1	yes	characteristic
38	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂²×#117	C₂²	1	1	yes	characteristic
41	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	#2841	C₂²	1	16	yes	complemented
43	#2795	C₂²	1	16	yes	complemented
44	#2785	C₂²	1	16	yes	complemented
45	#2783	C₂²	1	16	yes	complemented
46	#2741	C₂²	1	16	yes	complemented
47	#2741	C₂²	1	16	yes	complemented
48	#2740	C₂²	1	16	yes	complemented
49	#2737	C₂²	1	16	yes	complemented
50	#2736	C₂²	1	16	yes	complemented
51	#2735	C₂²	1	16	yes	complemented
52	#2721	C₂²	1	16	yes	complemented
53	#2685	C₂²	1	16	yes	—
54	#2685	C₂²	1	16	yes	—
55	#2604	C₂²	1	16	yes	complemented
56	#2596	C₂²	1	16	yes	complemented
57	#2593	C₂²	1	16	yes	complemented
58	#2593	C₂²	1	16	yes	complemented
59	#2575	C₂²	1	16	yes	complemented
60	#2558	C₂²	1	16	yes	complemented
61	#2534	C₂²	1	16	yes	—
62	#2529	C₂²	1	16	yes	complemented
63	#2525	C₂²	1	16	yes	complemented
64	#2519	C₂²	1	16	yes	complemented
65	#2515	C₂²	1	16	yes	complemented
66	#2485	C₂²	1	16	yes	complemented
67	#2482	C₂²	1	16	yes	complemented
68	#2469	C₂²	1	16	yes	complemented
69	#2458	C₂²	1	16	yes	complemented
70	C₂×#400	C₂²	1	1	yes	characteristic, 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×#399	C₂²	1	1	yes	characteristic
77	C₂×#399	C₂²	1	1	yes	characteristic
78	C₂×#399	C₂²	1	1	yes	characteristic
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×#396	C₂²	1	1	yes	characteristic
96	C₂×#396	C₂²	1	1	yes	characteristic
97	C₂×#396	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, complemented
102	C₂×#395	C₂²	1	1	yes	characteristic, complemented
103	C₂×#395	C₂²	1	1	yes	characteristic, complemented
104	C₂×#394	C₂²	1	1	yes	characteristic
105	C₂×#394	C₂²	1	1	yes	characteristic
106	C₂×#394	C₂²	1	1	yes	characteristic
107	C₂×#394	C₂²	1	1	yes	characteristic
108	C₂×#394	C₂²	1	1	yes	characteristic
109	C₂×#394	C₂²	1	1	yes	characteristic
110	C₂×#394	C₂²	1	1	yes	characteristic
111	C₂×#394	C₂²	1	1	yes	characteristic
112	C₂×#394	C₂²	1	1	yes	characteristic
113	C₂×#394	C₂²	1	1	yes	characteristic
114	C₂×#393	C₂²	1	1	yes	characteristic
115	C₂×#393	C₂²	1	1	yes	characteristic
116	C₂×#393	C₂²	1	1	yes	characteristic
117	C₂×#393	C₂²	1	1	yes	characteristic, complemented
118	#2319	C₂²	1	16	yes	complemented
119	#2314	C₂²	1	16	yes	complemented
120	#2312	C₂²	1	16	yes	complemented
121	C₂×#390	C₂²	1	1	yes	characteristic
122	C₂×#390	C₂²	1	1	yes	characteristic
123	C₂×#390	C₂²	1	1	yes	characteristic
124	C₂×#390	C₂²	1	1	yes	characteristic
125	C₂×#389	C₂²	1	1	yes	characteristic, complemented
126	C₂×#389	C₂²	1	1	yes	characteristic, complemented
127	C₂×#389	C₂²	1	1	yes	characteristic, complemented
128	C₂×#389	C₂²	1	1	yes	characteristic, complemented
129	C₂×#389	C₂²	1	1	yes	characteristic, complemented
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×#388	C₂²	1	1	yes	characteristic
150	C₂×#388	C₂²	1	1	yes	characteristic
151	C₂×#388	C₂²	1	1	yes	characteristic
152	C₂×#388	C₂²	1	1	yes	characteristic
153	C₂×#388	C₂²	1	1	yes	characteristic
154	C₂×#388	C₂²	1	1	yes	characteristic
155	C₂×#388	C₂²	1	1	yes	characteristic
156	C₂×#388	C₂²	1	1	yes	characteristic
157	C₂×#388	C₂²	1	1	yes	characteristic
158	C₂×#388	C₂²	1	1	yes	characteristic
159	C₂×#388	C₂²	1	1	yes	characteristic
160	C₂×#388	C₂²	1	1	yes	characteristic
161	C₂×#388	C₂²	1	1	yes	characteristic
162	C₂×#388	C₂²	1	1	yes	characteristic, complemented
163	C₂×#388	C₂²	1	1	yes	characteristic, complemented
164	C₂×#388	C₂²	1	1	yes	characteristic, complemented
165	C₂×#388	C₂²	1	1	yes	characteristic, complemented
166	C₂×#388	C₂²	1	1	yes	characteristic, complemented
167	C₂×#388	C₂²	1	1	yes	characteristic, complemented
168	C₂×#388	C₂²	1	1	yes	characteristic, complemented
169	C₂×#388	C₂²	1	1	yes	characteristic, complemented
170	C₂×#388	C₂²	1	1	yes	characteristic, complemented
171	C₂×#388	C₂²	1	1	yes	characteristic, complemented
172	C₂×#387	C₂²	1	1	yes	characteristic, complemented
173	C₂×#387	C₂²	1	1	yes	characteristic, complemented
174	C₂×#387	C₂²	1	1	yes	characteristic, complemented
175	C₂×#387	C₂²	1	1	yes	characteristic, complemented
176	C₂×#387	C₂²	1	1	yes	characteristic, complemented
177	C₂×#387	C₂²	1	1	yes	characteristic, complemented
178	C₂×#387	C₂²	1	1	yes	characteristic, complemented
179	C₂×#387	C₂²	1	1	yes	characteristic, complemented
180	C₂×#387	C₂²	1	1	yes	characteristic, complemented
181	C₂×#387	C₂²	1	1	yes	characteristic, complemented
182	C₂×#387	C₂²	1	1	yes	characteristic, complemented
183	C₂×#387	C₂²	1	1	yes	characteristic, complemented
184	C₂×#387	C₂²	1	1	yes	characteristic, complemented
185	C₂×#387	C₂²	1	1	yes	characteristic, complemented
186	C₂×#387	C₂²	1	1	yes	characteristic, complemented
187	C₂×#386	C₂²	1	1	yes	characteristic
188	C₂×#386	C₂²	1	1	yes	characteristic
189	C₂×#385	C₂²	1	1	yes	characteristic
190	C₂×#385	C₂²	1	1	yes	characteristic
191	C₂×#384	C₂²	1	1	yes	characteristic, complemented
192	C₂×#383	C₂²	1	1	yes	characteristic, complemented
193	C₂×#382	C₂²	1	1	yes	characteristic, complemented
194	C₂×#382	C₂²	1	1	yes	characteristic, complemented
195	C₂×#382	C₂²	1	1	yes	characteristic, complemented
196	C₂×#381	C₂²	1	1	yes	characteristic
197	C₂×#381	C₂²	1	1	yes	characteristic
198	C₂×#381	C₂²	1	1	yes	characteristic, complemented
199	C₂×#380	C₂²	1	1	yes	characteristic
200	C₂×#380	C₂²	1	1	yes	characteristic
201	C₂×#380	C₂²	1	1	yes	characteristic
202	C₂×#380	C₂²	1	1	yes	characteristic, complemented
203	C₂×#380	C₂²	1	1	yes	characteristic, complemented
204	C₂×#380	C₂²	1	1	yes	characteristic, complemented
205	C₂×#379	C₂²	1	1	yes	characteristic
206	C₂×#379	C₂²	1	1	yes	characteristic
207	C₂×#379	C₂²	1	1	yes	characteristic
208	C₂×#379	C₂²	1	1	yes	characteristic
209	C₂×#379	C₂²	1	1	yes	characteristic
210	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	1	yes	characteristic
223	C₂³×D₄	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	C₂×#126	—	4	4	no	—
228	C₂×#126	—	4	4	no	—
229	C₂×#126	C₂³	1	8	yes	—
230	C₂×#126	C₂³	1	8	yes	—
231	C₂×#125	—	4	4	no	—
232	C₂×#125	C₂³	1	8	yes	complemented
233	C₂×#123	—	4	4	no	—
234	C₂×#123	C₂³	1	8	yes	—
235	C₂×#120	—	4	4	no	—
236	C₂×#120	C₂³	1	8	yes	—
237	C₂×C₄×Q₈	—	4	4	no	—
238	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
239	C₂×C₄×D₄	—	2	8	no	—
240	C₂×C₄×D₄	C₂³	1	8	yes	—
241	C₂×#117	—	2	8	no	—
242	C₂×#117	C₂³	1	8	yes	—
243	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	8	no	—
280	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
281	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂²×C₂²⋊C₄	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	C₂²×C₄²	C₂³	1	1	yes	characteristic
343	C₂²×C₄²	C₂³	1	1	yes	characteristic
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	#399	C₂³	1	8	yes	—
351	#399	C₂³	1	8	yes	—
352	#399	C₂³	1	8	yes	—
353	#399	C₂³	1	8	yes	—
354	#399	C₂³	1	8	yes	—
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	#398	C₂³	1	8	yes	complemented
360	#398	C₂³	1	8	yes	complemented
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	#396	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	complemented
376	#395	C₂³	1	8	yes	complemented
377	#395	C₂³	1	8	yes	complemented
378	#394	C₂³	1	8	yes	—
379	#394	C₂³	1	8	yes	—
380	#394	C₂³	1	8	yes	—
381	#394	C₂³	1	8	yes	—
382	#394	C₂³	1	8	yes	—
383	#394	C₂³	1	8	yes	—
384	#394	C₂³	1	8	yes	—
385	#394	C₂³	1	8	yes	—
386	#394	C₂³	1	8	yes	—
387	#394	C₂³	1	8	yes	—
388	#393	C₂³	1	8	yes	—
389	#393	C₂³	1	8	yes	—
390	#393	C₂³	1	8	yes	—
391	#393	C₂³	1	8	yes	complemented
392	#390	C₂³	1	8	yes	—
393	#390	C₂³	1	8	yes	—
394	#390	C₂³	1	8	yes	—
395	#390	C₂³	1	8	yes	—
396	#389	C₂³	1	8	yes	complemented
397	#389	C₂³	1	8	yes	complemented
398	#389	C₂³	1	8	yes	complemented
399	#389	C₂³	1	8	yes	complemented
400	#389	C₂³	1	8	yes	complemented
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	#388	C₂³	1	8	yes	—
416	#388	C₂³	1	8	yes	—
417	#388	C₂³	1	8	yes	—
418	#388	C₂³	1	8	yes	—
419	#388	C₂³	1	8	yes	—
420	#388	C₂³	1	8	yes	—
421	#388	C₂³	1	8	yes	—
422	#388	C₂³	1	8	yes	—
423	#388	C₂³	1	8	yes	—
424	#388	C₂³	1	8	yes	—
425	#388	C₂³	1	8	yes	—
426	#388	C₂³	1	8	yes	—
427	#388	C₂³	1	8	yes	—
428	#388	C₂³	1	8	yes	—
429	#388	C₂³	1	8	yes	—
430	#388	C₂³	1	8	yes	—
431	#388	C₂³	1	8	yes	—
432	#388	C₂³	1	8	yes	—
433	#388	C₂³	1	8	yes	complemented
434	#388	C₂³	1	8	yes	complemented
435	#388	C₂³	1	8	yes	complemented
436	#388	C₂³	1	8	yes	complemented
437	#388	C₂³	1	8	yes	complemented
438	#388	C₂³	1	8	yes	complemented
439	#388	C₂³	1	8	yes	complemented
440	#388	C₂³	1	8	yes	complemented
441	#388	C₂³	1	8	yes	complemented
442	#388	C₂³	1	8	yes	complemented
443	#387	C₂³	1	8	yes	complemented
444	#387	C₂³	1	8	yes	complemented
445	#387	C₂³	1	8	yes	complemented
446	#387	C₂³	1	8	yes	complemented
447	#387	C₂³	1	8	yes	complemented
448	#387	C₂³	1	8	yes	complemented
449	#387	C₂³	1	8	yes	complemented
450	#387	C₂³	1	8	yes	complemented
451	#387	C₂³	1	8	yes	complemented
452	#387	C₂³	1	8	yes	complemented
453	#387	C₂³	1	8	yes	complemented
454	#387	C₂³	1	8	yes	complemented
455	#387	C₂³	1	8	yes	complemented
456	#387	C₂³	1	8	yes	complemented
457	#387	C₂³	1	8	yes	complemented
458	#386	C₂³	1	8	yes	—
459	#386	C₂³	1	8	yes	—
460	#385	C₂³	1	8	yes	—
461	#385	C₂³	1	8	yes	—
462	#384	C₂³	1	8	yes	complemented
463	#383	C₂³	1	8	yes	complemented
464	#382	C₂³	1	8	yes	complemented
465	#382	C₂³	1	8	yes	complemented
466	#382	C₂³	1	8	yes	complemented
467	#381	C₂³	1	8	yes	—
468	#381	C₂³	1	8	yes	—
469	#381	C₂³	1	8	yes	complemented
470	#380	C₂³	1	8	yes	—
471	#380	C₂³	1	8	yes	—
472	#380	C₂³	1	8	yes	—
473	#380	C₂³	1	8	yes	complemented
474	#380	C₂³	1	8	yes	complemented
475	#380	C₂³	1	8	yes	complemented
476	#379	C₂³	1	8	yes	—
477	#379	C₂³	1	8	yes	—
478	#379	C₂³	1	8	yes	—
479	#379	C₂³	1	8	yes	—
480	#379	C₂³	1	8	yes	—
481	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
482	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
483	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
484	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
485	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
486	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
487	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
488	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
489	#376	C₂³	1	8	yes	complemented
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	C₂⁵	—	2	4	no	—
539	C₂⁵	—	4	2	no	—
540	C₂⁵	—	4	2	no	—
541	C₂⁵	—	4	2	no	—
542	C₂⁵	—	4	2	no	—
543	C₂⁵	—	4	2	no	—
544	C₂⁵	—	4	2	no	—
545	C₂⁵	C₂⁴	1	1	yes	characteristic
546	C₂⁵	C₂⁴	1	1	yes	characteristic
547	C₂⁵	C₂⁴	1	1	yes	characteristic
548	C₂⁵	C₂⁴	1	1	yes	characteristic
549	C₂⁵	C₂⁴	1	4	yes	—
550	C₂²×Q₈	—	4	2	no	—
551	C₂²×Q₈	—	4	2	no	—
552	C₂²×Q₈	—	4	2	no	—
553	C₂²×Q₈	C₂⁴	1	4	yes	—
554	C₂²×D₄	—	2	4	no	—
555	C₂²×D₄	—	2	4	no	—
556	C₂²×D₄	—	4	2	no	—
557	C₂²×D₄	—	4	2	no	—
558	C₂²×D₄	—	4	2	no	—
559	C₂²×D₄	—	4	2	no	—
560	C₂²×D₄	—	4	2	no	—
561	C₂²×D₄	—	4	2	no	—
562	C₂²×D₄	—	4	2	no	—
563	C₂²×D₄	C₂⁴	1	4	yes	—
564	C₂²×D₄	C₂⁴	1	4	yes	—
565	C₂²×D₄	C₂⁴	1	4	yes	—
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	#41	1	8	yes	—
575	C₂³×C₄	C₂⁴	1	1	yes	characteristic
576	C₂³×C₄	C₂⁴	1	1	yes	characteristic
577	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
602	C₂³×C₄	C₂⁴	1	4	yes	—
603	C₂³×C₄	C₂⁴	1	4	yes	—
604	C₂³×C₄	C₂⁴	1	4	yes	—
605	#126	—	4	16	no	—
606	#126	—	4	16	no	—
607	#125	—	4	16	no	—
608	#123	—	4	16	no	—
609	#120	—	4	16	no	—
610	C₄×Q₈	—	4	16	no	—
611	C₄×D₄	—	2	32	no	—
612	#117	—	2	32	no	—
613	C₂×C₄⋊C₄	—	2	4	no	—
614	C₂×C₄⋊C₄	—	2	4	no	—
615	C₂×C₄⋊C₄	—	2	4	no	—
616	C₂×C₄⋊C₄	—	2	4	no	—
617	C₂×C₄⋊C₄	—	2	4	no	—
618	C₂×C₄⋊C₄	—	2	4	no	—
619	C₂×C₄⋊C₄	—	2	4	no	—
620	C₂×C₄⋊C₄	—	2	4	no	—
621	C₂×C₄⋊C₄	—	4	2	no	—
622	C₂×C₄⋊C₄	—	4	2	no	—
623	C₂×C₄⋊C₄	—	4	2	no	—
624	C₂×C₄⋊C₄	—	4	2	no	—
625	C₂×C₄⋊C₄	—	4	2	no	—
626	C₂×C₄⋊C₄	—	4	2	no	—
627	C₂×C₄⋊C₄	—	4	2	no	—
628	C₂×C₄⋊C₄	—	4	2	no	—
629	C₂×C₄⋊C₄	—	4	2	no	—
630	C₂×C₄⋊C₄	—	4	2	no	—
631	C₂×C₄⋊C₄	—	4	2	no	—
632	C₂×C₄⋊C₄	—	4	2	no	—
633	C₂×C₄⋊C₄	—	4	2	no	—
634	C₂×C₄⋊C₄	—	4	2	no	—
635	C₂×C₄⋊C₄	—	4	2	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	C₂⁴	1	4	yes	—
650	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
651	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
652	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
653	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
656	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
657	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
658	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
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×C₂²⋊C₄	—	2	4	no	—
686	C₂×C₂²⋊C₄	—	2	4	no	—
687	C₂×C₂²⋊C₄	—	2	4	no	—
688	C₂×C₂²⋊C₄	—	2	4	no	—
689	C₂×C₂²⋊C₄	—	2	4	no	—
690	C₂×C₂²⋊C₄	—	2	4	no	—
691	C₂×C₂²⋊C₄	—	2	4	no	—
692	C₂×C₂²⋊C₄	—	2	32	no	—
693	C₂×C₂²⋊C₄	—	2	4	no	—
694	C₂×C₂²⋊C₄	—	2	4	no	—
695	C₂×C₂²⋊C₄	—	2	4	no	—
696	C₂×C₂²⋊C₄	—	4	2	no	—
697	C₂×C₂²⋊C₄	—	4	2	no	—
698	C₂×C₂²⋊C₄	—	4	2	no	—
699	C₂×C₂²⋊C₄	—	4	2	no	—
700	C₂×C₂²⋊C₄	—	4	2	no	—
701	C₂×C₂²⋊C₄	—	4	2	no	—
702	C₂×C₂²⋊C₄	—	4	2	no	—
703	C₂×C₂²⋊C₄	—	4	2	no	—
704	C₂×C₂²⋊C₄	—	4	2	no	—
705	C₂×C₂²⋊C₄	—	4	2	no	—
706	C₂×C₂²⋊C₄	—	4	2	no	—
707	C₂×C₂²⋊C₄	—	4	2	no	—
708	C₂×C₂²⋊C₄	—	4	2	no	—
709	C₂×C₂²⋊C₄	—	4	2	no	—
710	C₂×C₂²⋊C₄	—	4	2	no	—
711	C₂×C₂²⋊C₄	—	4	2	no	—
712	C₂×C₂²⋊C₄	—	4	2	no	—
713	C₂×C₂²⋊C₄	—	4	2	no	—
714	C₂×C₂²⋊C₄	—	4	2	no	—
715	C₂×C₂²⋊C₄	—	4	2	no	—
716	C₂×C₂²⋊C₄	—	4	2	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	C₂⁴	1	4	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	4	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×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₄²	—	2	4	no	—
783	C₂×C₄²	—	2	4	no	—
784	C₂×C₄²	—	2	4	no	—
785	C₂×C₄²	—	2	4	no	—
786	C₂×C₄²	—	4	2	no	—
787	C₂×C₄²	—	4	2	no	—
788	C₂×C₄²	—	4	2	no	—
789	C₂×C₄²	—	4	2	no	—
790	C₂×C₄²	—	4	2	no	—
791	C₂×C₄²	—	4	2	no	—
792	C₂×C₄²	—	4	2	no	—
793	C₂×C₄²	—	4	2	no	—
794	C₂×C₄²	—	4	2	no	—
795	C₂×C₄²	—	4	2	no	—
796	C₂×C₄²	—	4	2	no	—
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	C₂×C₄²	C₂⁴	1	4	yes	—
805	C₂×C₄²	C₂⁴	1	4	yes	—
806	C₂×C₄²	C₂⁴	1	4	yes	—
807	C₂×C₄²	C₂⁴	1	4	yes	—
808	C₂×C₄²	C₂⁴	1	4	yes	—
809	C₂×C₄²	C₂⁴	1	4	yes	—
810	C₂×C₄²	C₂⁴	1	4	yes	—
811	C₂×C₄²	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	2	no	—
879	C₂⁴	—	2	2	no	—
880	C₂⁴	—	2	2	no	—
881	C₂⁴	—	2	2	no	—
882	C₂⁴	—	2	2	no	—
883	C₂⁴	—	2	2	no	—
884	C₂⁴	—	2	2	no	—
885	C₂⁴	—	2	2	no	—
886	C₂⁴	—	2	2	no	—
887	C₂⁴	—	2	8	no	—
888	C₂⁴	—	4	4	no	—
889	C₂⁴	—	4	4	no	—
890	C₂⁴	—	4	4	no	—
891	C₂⁴	—	4	4	no	—
892	C₂⁴	—	4	4	no	—
893	C₂⁴	—	4	4	no	—
894	C₂⁴	—	4	16	no	—
895	C₂⁴	—	8	8	no	—
896	C₂⁴	—	8	8	no	—
897	C₂⁴	—	8	8	no	—
898	C₂⁴	—	8	8	no	—
899	C₂⁴	—	8	8	no	—
900	C₂⁴	—	8	8	no	—
901	C₂⁴	C₂×#41	1	4	yes	—
902	C₂⁴	C₂⁵	1	2	yes	—
903	C₂⁴	C₂⁵	1	2	yes	—
904	C₂⁴	C₂⁵	1	2	yes	—
905	C₂⁴	C₂⁵	1	2	yes	—
906	C₂⁴	C₂⁵	1	1	yes	characteristic
907	C₂×Q₈	—	4	4	no	—
908	C₂×Q₈	—	4	4	no	—
909	C₂×Q₈	—	4	4	no	—
910	C₂×Q₈	—	4	16	no	—
911	C₂×D₄	—	2	8	no	—
912	C₂×D₄	—	2	8	no	—
913	C₂×D₄	—	4	4	no	—
914	C₂×D₄	—	4	16	no	—
915	C₂×D₄	—	4	4	no	—
916	C₂×D₄	—	4	4	no	—
917	C₂×D₄	—	4	4	no	—
918	C₂×D₄	—	4	4	no	—
919	C₂×D₄	—	4	4	no	—
920	C₂×D₄	—	4	4	no	—
921	C₂×D₄	—	8	8	no	—
922	C₂×D₄	—	8	8	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	2	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	2	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	2	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	2	2	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	8	no	—
1002	C₂²×C₄	—	2	8	no	—
1003	C₂²×C₄	—	4	16	no	—
1004	C₂²×C₄	—	4	4	no	—
1005	C₂²×C₄	—	4	4	no	—
1006	C₂²×C₄	—	4	4	no	—
1007	C₂²×C₄	—	4	4	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	4	no	—
1010	C₂²×C₄	—	8	8	no	—
1011	C₂²×C₄	—	8	8	no	—
1012	C₂²×C₄	C₂×#41	1	4	yes	—
1013	C₂²×C₄	C₂×#41	1	4	yes	—
1014	C₂²×C₄	C₂×#41	1	16	yes	—
1015	C₂²×C₄	H(5,𝔽₂)	1	4	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	—	4	4	no	—
1052	C₄⋊C₄	—	4	4	no	—
1053	C₄⋊C₄	—	4	4	no	—
1054	C₄⋊C₄	—	4	4	no	—
1055	C₄⋊C₄	—	4	4	no	—
1056	C₄⋊C₄	—	4	4	no	—
1057	C₄⋊C₄	—	4	4	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	C₂²⋊C₄	—	2	8	no	—
1080	C₂²⋊C₄	—	2	8	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	—	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	—	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	—	4	4	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	4	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₄²	—	2	8	no	—
1128	C₄²	—	2	8	no	—
1129	C₄²	—	2	8	no	—
1130	C₄²	—	2	8	no	—
1131	C₄²	—	4	4	no	—
1132	C₄²	—	4	4	no	—
1133	C₄²	—	4	4	no	—
1134	C₄²	—	4	4	no	—
1135	C₄²	—	4	4	no	—
1136	C₄²	—	4	4	no	—
1137	C₄²	—	4	4	no	—
1138	C₄²	—	4	4	no	—
1139	C₄²	—	4	4	no	—
1140	C₄²	—	4	4	no	—
1141	C₄²	—	4	4	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	8	no	—
1149	C₂³	—	2	8	no	—
1150	C₂³	—	2	8	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	2	no	—
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	4	16	no	—
1173	C₂³	—	4	4	no	—
1174	C₂³	—	4	4	no	—
1175	C₂³	—	4	4	no	—
1176	C₂³	—	4	4	no	—
1177	C₂³	—	4	4	no	—
1178	C₂³	—	4	4	no	—
1179	C₂³	—	4	4	no	—
1180	C₂³	—	4	4	no	—
1181	C₂³	—	4	4	no	—
1182	C₂³	—	4	4	no	—
1183	C₂³	—	4	4	no	—
1184	C₂³	—	4	4	no	—
1185	C₂³	—	4	4	no	—
1186	C₂³	—	4	4	no	—
1187	C₂³	—	4	4	no	—
1188	C₂³	—	4	4	no	—
1189	C₂³	—	4	4	no	—
1190	C₂³	—	4	4	no	—
1191	C₂³	—	4	4	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	4	no	—
1195	C₂³	—	4	4	no	—
1196	C₂³	—	4	4	no	—
1197	C₂³	—	4	4	no	—
1198	C₂³	—	8	8	no	—
1199	C₂³	—	8	8	no	—
1200	C₂³	—	8	8	no	—
1201	C₂³	—	8	8	no	—
1202	C₂³	—	8	8	no	—
1203	C₂³	—	8	8	no	—
1204	C₂³	—	8	64	no	—
1205	C₂³	C₂²×#41	1	4	yes	—
1206	C₂³	C₂²×#41	1	2	yes	—
1207	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1208	C₂³	#585	1	2	yes	—
1209	C₂³	#585	1	2	yes	—
1210	C₂³	#585	1	2	yes	—
1211	C₂³	#585	1	2	yes	—
1212	C₂³	#585	1	2	yes	—
1213	C₂³	C₂⁶	1	1	yes	characteristic
1214	Q₈	—	4	16	no	—
1215	D₄	—	4	16	no	—
1216	D₄	—	8	8	no	—
1217	D₄	—	8	8	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	8	no	—
1225	C₂×C₄	—	2	8	no	—
1226	C₂×C₄	—	2	8	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	—	2	2	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	2	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	4	16	no	—
1300	C₂×C₄	—	4	4	no	—
1301	C₂×C₄	—	4	4	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	4	4	no	—
1304	C₂×C₄	—	4	4	no	—
1305	C₂×C₄	—	4	4	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	4	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	4	4	no	—
1310	C₂×C₄	—	4	4	no	—
1311	C₂×C₄	—	4	4	no	—
1312	C₂×C₄	—	4	4	no	—
1313	C₂×C₄	—	4	4	no	—
1314	C₂×C₄	—	4	4	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	—	4	4	no	—
1323	C₂×C₄	—	4	4	no	—
1324	C₂×C₄	—	8	8	no	—
1325	C₂×C₄	—	8	8	no	—
1326	C₂×C₄	C₂²×#41	1	4	yes	—
1327	C₂×C₄	C₂²×#41	1	4	yes	—
1328	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1329	C₂²	—	2	4	no	—
1330	C₂²	—	2	4	no	—
1331	C₂²	—	2	4	no	—
1332	C₂²	—	4	2	no	—
1333	C₂²	—	4	2	no	—
1334	C₂²	—	4	2	no	—
1335	C₂²	—	4	2	no	—
1336	C₂²	—	4	16	no	—
1337	C₂²	—	4	2	no	—
1338	C₂²	—	4	2	no	—
1339	C₂²	—	4	2	no	—
1340	C₂²	—	4	2	no	—
1341	C₂²	—	4	2	no	—
1342	C₂²	—	4	2	no	—
1343	C₂²	—	4	2	no	—
1344	C₂²	—	4	2	no	—
1345	C₂²	—	4	2	no	—
1346	C₂²	—	4	2	no	—
1347	C₂²	—	4	2	no	—
1348	C₂²	—	4	2	no	—
1349	C₂²	—	4	2	no	—
1350	C₂²	—	4	2	no	—
1351	C₂²	—	4	2	no	—
1352	C₂²	—	4	2	no	—
1353	C₂²	—	4	2	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	2	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	8	32	no	—
1359	C₂²	—	8	8	no	—
1360	C₂²	—	8	8	no	—
1361	C₂²	—	8	8	no	—
1362	C₂²	#3491	1	4	yes	—
1363	C₂²	#3493	1	4	yes	—
1364	C₂²	#3494	1	4	yes	—
1365	C₂²	#3540	1	4	yes	—
1366	C₂²	#3562	1	4	yes	—
1367	C₂²	#3566	1	4	yes	—
1368	C₂²	#3566	1	4	yes	—
1369	C₂²	C₂³×#41	1	1	yes	characteristic
1370	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1371	C₂²	C₂×#585	1	1	yes	characteristic
1372	C₂²	C₂×#585	1	1	yes	characteristic
1373	C₂²	C₂×#585	1	1	yes	characteristic
1374	C₂²	C₂×#585	1	1	yes	characteristic
1375	C₂²	C₂×#585	1	1	yes	characteristic
1376	C₄	—	2	4	no	—
1377	C₄	—	2	4	no	—
1378	C₄	—	2	4	no	—
1379	C₄	—	4	2	no	—
1380	C₄	—	4	2	no	—
1381	C₄	—	4	2	no	—
1382	C₄	—	4	2	no	—
1383	C₄	—	4	2	no	—
1384	C₄	—	4	2	no	—
1385	C₄	—	4	2	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	2	no	—
1388	C₄	—	4	2	no	—
1389	C₄	—	4	2	no	—
1390	C₄	—	4	2	no	—
1391	C₄	—	4	2	no	—
1392	C₄	—	4	2	no	—
1393	C₄	—	4	2	no	—
1394	C₄	—	4	2	no	—
1395	C₄	—	4	2	no	—
1396	C₄	—	4	2	no	—
1397	C₄	—	4	2	no	—
1398	C₄	—	4	2	no	—
1399	C₄	—	4	2	no	—
1400	C₄	—	4	2	no	—
1401	C₄	—	4	2	no	—
1402	C₄	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	—	8	2	no	—
1405	C₂	—	8	2	no	—
1406	C₂	—	8	2	no	—
1407	C₂	#47461	1	8	yes	direct product factor
1408	C₂	C₂×#3540	1	1	yes	characteristic
1409	C₂	C₂×#3562	1	1	yes	characteristic
1410	C₂	C₂×#3566	1	1	yes	characteristic
1411	C₂	C₂×#3566	1	1	yes	characteristic
1412	C₂	C₂×#3491	1	1	yes	characteristic
1413	C₂	C₂×#3493	1	1	yes	characteristic
1414	C₂	C₂×#3494	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁶
prime radical	C₂²×#120	C₂²
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×#2795	C₂	semidirect
2. C₂×#2785	C₂	semidirect
3. C₂×#2783	C₂	semidirect
4. C₂×#2741	C₂	semidirect
5. C₂×#2741	C₂	semidirect
6. C₂×#2740	C₂	semidirect
7. C₂×#2737	C₂	semidirect
8. C₂×#2736	C₂	semidirect
9. C₂×#2735	C₂	semidirect
10. C₂×#2721	C₂	semidirect
13. #47461	C₂	direct (N × H)
14. C₂×#2841	C₂	semidirect
15. C₂×#2604	C₂	semidirect
16. C₂×#2596	C₂	semidirect
17. C₂×#2593	C₂	semidirect
18. C₂×#2593	C₂	semidirect
19. C₂×#2575	C₂	semidirect
20. C₂×#2558	C₂	semidirect
22. C₂×#2482	C₂	semidirect
23. C₂×#2529	C₂	semidirect
24. C₂×#2485	C₂	semidirect
25. C₂×#2525	C₂	semidirect
26. C₂×#2515	C₂	semidirect
27. C₂×#2519	C₂	semidirect
28. C₂×#2458	C₂	semidirect
29. C₂×#2469	C₂	semidirect
30. C₂×#2319	C₂	semidirect
31. C₂×#2314	C₂	semidirect
32. C₂×#2312	C₂	semidirect
35. C₂²×#125	C₂²	semidirect
38. C₂²×C₄×Q₈	C₂²	semidirect
42. #2841	C₂²	semidirect
43. #2795	C₂²	semidirect
44. #2785	C₂²	semidirect
45. #2783	C₂²	semidirect
46. #2741	C₂²	semidirect
47. #2741	C₂²	semidirect
48. #2740	C₂²	semidirect
49. #2737	C₂²	semidirect
50. #2736	C₂²	semidirect
51. #2735	C₂²	semidirect
52. #2721	C₂²	semidirect
55. #2604	C₂²	semidirect
56. #2596	C₂²	semidirect
57. #2593	C₂²	semidirect
58. #2593	C₂²	semidirect
59. #2575	C₂²	semidirect
60. #2558	C₂²	semidirect
62. #2529	C₂²	semidirect
63. #2525	C₂²	semidirect
64. #2519	C₂²	semidirect
65. #2515	C₂²	semidirect
66. #2485	C₂²	semidirect
67. #2482	C₂²	semidirect
68. #2469	C₂²	semidirect
69. #2458	C₂²	semidirect
70. C₂×#400	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
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
101. C₂×#396	C₂²	semidirect
102. C₂×#395	C₂²	semidirect
103. C₂×#395	C₂²	semidirect
117. C₂×#393	C₂²	semidirect
118. #2319	C₂²	semidirect
119. #2314	C₂²	semidirect
120. #2312	C₂²	semidirect
125. C₂×#389	C₂²	semidirect
126. C₂×#389	C₂²	semidirect
127. C₂×#389	C₂²	semidirect
128. C₂×#389	C₂²	semidirect
129. C₂×#389	C₂²	semidirect
162. C₂×#388	C₂²	semidirect
163. C₂×#388	C₂²	semidirect
164. C₂×#388	C₂²	semidirect
165. C₂×#388	C₂²	semidirect
166. C₂×#388	C₂²	semidirect
167. C₂×#388	C₂²	semidirect
168. C₂×#388	C₂²	semidirect
169. C₂×#388	C₂²	semidirect
170. C₂×#388	C₂²	semidirect
171. C₂×#388	C₂²	semidirect
172. C₂×#387	C₂²	semidirect
173. C₂×#387	C₂²	semidirect
174. C₂×#387	C₂²	semidirect
175. C₂×#387	C₂²	semidirect
176. C₂×#387	C₂²	semidirect
177. C₂×#387	C₂²	semidirect
178. C₂×#387	C₂²	semidirect
179. C₂×#387	C₂²	semidirect
180. C₂×#387	C₂²	semidirect
181. C₂×#387	C₂²	semidirect
182. C₂×#387	C₂²	semidirect
183. C₂×#387	C₂²	semidirect
184. C₂×#387	C₂²	semidirect
185. C₂×#387	C₂²	semidirect
186. C₂×#387	C₂²	semidirect
191. C₂×#384	C₂²	semidirect
192. C₂×#383	C₂²	semidirect
193. C₂×#382	C₂²	semidirect
194. C₂×#382	C₂²	semidirect
195. C₂×#382	C₂²	semidirect
198. C₂×#381	C₂²	semidirect
202. C₂×#380	C₂²	semidirect
203. C₂×#380	C₂²	semidirect
204. C₂×#380	C₂²	semidirect
210. C₂×C₄×C₄⋊C₄	C₂²	semidirect
211. C₂×C₄×C₄⋊C₄	C₂²	semidirect
212. C₂×C₄×C₄⋊C₄	C₂²	semidirect
213. C₂×C₄×C₄⋊C₄	C₂²	semidirect
214. C₂×C₄×C₄⋊C₄	C₂²	semidirect
215. C₂×C₄×C₄⋊C₄	C₂²	semidirect
218. C₂×#376	C₂²	semidirect
232. C₂×#125	C₂³	semidirect
238. C₂×C₄×Q₈	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
355. #398	C₂³	semidirect
356. #398	C₂³	semidirect
357. #398	C₂³	semidirect
358. #398	C₂³	semidirect
359. #398	C₂³	semidirect
360. #398	C₂³	semidirect
375. #396	C₂³	semidirect
376. #395	C₂³	semidirect
377. #395	C₂³	semidirect
391. #393	C₂³	semidirect
396. #389	C₂³	semidirect
397. #389	C₂³	semidirect
398. #389	C₂³	semidirect
399. #389	C₂³	semidirect
400. #389	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
435. #388	C₂³	semidirect
436. #388	C₂³	semidirect
437. #388	C₂³	semidirect
438. #388	C₂³	semidirect
439. #388	C₂³	semidirect
440. #388	C₂³	semidirect
441. #388	C₂³	semidirect
442. #388	C₂³	semidirect
443. #387	C₂³	semidirect
444. #387	C₂³	semidirect
445. #387	C₂³	semidirect
446. #387	C₂³	semidirect
447. #387	C₂³	semidirect
448. #387	C₂³	semidirect
449. #387	C₂³	semidirect
450. #387	C₂³	semidirect
451. #387	C₂³	semidirect
452. #387	C₂³	semidirect
453. #387	C₂³	semidirect
454. #387	C₂³	semidirect
455. #387	C₂³	semidirect
456. #387	C₂³	semidirect
457. #387	C₂³	semidirect
462. #384	C₂³	semidirect
463. #383	C₂³	semidirect
464. #382	C₂³	semidirect
465. #382	C₂³	semidirect
466. #382	C₂³	semidirect
469. #381	C₂³	semidirect
473. #380	C₂³	semidirect
474. #380	C₂³	semidirect
475. #380	C₂³	semidirect
481. C₄×C₄⋊C₄	C₂³	semidirect
482. C₄×C₄⋊C₄	C₂³	semidirect
483. C₄×C₄⋊C₄	C₂³	semidirect
484. C₄×C₄⋊C₄	C₂³	semidirect
485. C₄×C₄⋊C₄	C₂³	semidirect
486. C₄×C₄⋊C₄	C₂³	semidirect
489. #376	C₂³	semidirect
1407. C₂	#47461	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×#2795	2
C₂×#2785	2
C₂×#2783	2
C₂×#2741	2
C₂×#2740	2
C₂×#2737	2
C₂×#2736	2
C₂×#2735	2
C₂×#2721	2
C₂×#2685	2
#47461	2
C₂×#2841	2
C₂×#2604	2
C₂×#2596	2
C₂×#2593	2
C₂×#2575	2
C₂×#2558	2
C₂×#2534	2
C₂×#2482	2
C₂×#2529	2
C₂×#2485	2
C₂×#2525	2
C₂×#2515	2
C₂×#2519	2
C₂×#2458	2
C₂×#2469	2
C₂×#2319	2
C₂×#2314	2
C₂×#2312	2

Subgroups — C2×#47461 #7700869

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#47461 #7700869