Subgroups — C₂×#51807 #7707726

Order 512.

5812 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2780	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2777	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2771	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2753	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2749	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2749	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2735	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2727	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2707	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2705	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2685	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2678	C₂	1	1	yes	maximal, characteristic
13	#51807	C₂	1	32	yes	maximal, direct product factor
14	C₂×#2601	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2593	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2558	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2534	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2526	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2525	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2495	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2413	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2468	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2481	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2480	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2443	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2418	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2664	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#2649	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#2375	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#2363	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2319	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×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#123	C₂²	1	1	yes	characteristic
38	C₂²×#123	C₂²	1	1	yes	characteristic
39	C₂²×#123	C₂²	1	1	yes	characteristic
40	C₂²×#121	C₂²	1	1	yes	characteristic
41	C₂²×#120	C₂²	1	1	yes	characteristic
42	C₂²×#120	C₂²	1	1	yes	characteristic
43	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
44	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
45	C₂²×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	#2780	C₂²	1	16	yes	complemented
49	#2777	C₂²	1	16	yes	complemented
50	#2771	C₂²	1	16	yes	complemented
51	#2753	C₂²	1	16	yes	complemented
52	#2749	C₂²	1	16	yes	complemented
53	#2749	C₂²	1	16	yes	complemented
54	#2735	C₂²	1	16	yes	complemented
55	#2727	C₂²	1	16	yes	complemented
56	#2707	C₂²	1	16	yes	complemented
57	#2705	C₂²	1	16	yes	complemented
58	#2685	C₂²	1	16	yes	complemented
59	#2678	C₂²	1	16	yes	—
60	#2664	C₂²	1	16	yes	complemented
61	#2649	C₂²	1	16	yes	complemented
62	#2601	C₂²	1	16	yes	complemented
63	#2593	C₂²	1	16	yes	complemented
64	#2558	C₂²	1	16	yes	complemented
65	#2534	C₂²	1	16	yes	complemented
66	#2529	C₂²	1	16	yes	complemented
67	#2526	C₂²	1	16	yes	complemented
68	#2525	C₂²	1	16	yes	complemented
69	#2495	C₂²	1	16	yes	complemented
70	#2481	C₂²	1	16	yes	complemented
71	#2480	C₂²	1	16	yes	complemented
72	#2468	C₂²	1	16	yes	complemented
73	#2443	C₂²	1	16	yes	complemented
74	#2418	C₂²	1	16	yes	complemented
75	#2413	C₂²	1	16	yes	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×#400	C₂²	1	1	yes	characteristic, complemented
80	C₂×#400	C₂²	1	1	yes	characteristic, complemented
81	C₂×#400	C₂²	1	1	yes	characteristic, complemented
82	C₂×#400	C₂²	1	1	yes	characteristic, complemented
83	C₂×#399	C₂²	1	1	yes	characteristic
84	C₂×#399	C₂²	1	1	yes	characteristic
85	C₂×#399	C₂²	1	1	yes	characteristic
86	C₂×#399	C₂²	1	1	yes	characteristic, complemented
87	C₂×#398	C₂²	1	1	yes	characteristic, complemented
88	C₂×#398	C₂²	1	1	yes	characteristic, complemented
89	C₂×#398	C₂²	1	1	yes	characteristic, complemented
90	C₂×#398	C₂²	1	1	yes	characteristic, complemented
91	C₂×#398	C₂²	1	1	yes	characteristic, complemented
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×#397	C₂²	1	1	yes	characteristic
99	C₂×#397	C₂²	1	1	yes	characteristic
100	C₂×#397	C₂²	1	1	yes	characteristic, complemented
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×#396	C₂²	1	1	yes	characteristic
105	C₂×#396	C₂²	1	1	yes	characteristic
106	C₂×#396	C₂²	1	1	yes	characteristic
107	C₂×#396	C₂²	1	1	yes	characteristic
108	C₂×#396	C₂²	1	1	yes	characteristic, complemented
109	C₂×#396	C₂²	1	1	yes	characteristic, complemented
110	C₂×#396	C₂²	1	1	yes	characteristic, complemented
111	C₂×#396	C₂²	1	1	yes	characteristic, complemented
112	C₂×#394	C₂²	1	1	yes	characteristic
113	C₂×#394	C₂²	1	1	yes	characteristic
114	C₂×#394	C₂²	1	1	yes	characteristic
115	C₂×#394	C₂²	1	1	yes	characteristic
116	C₂×#394	C₂²	1	1	yes	characteristic
117	C₂×#394	C₂²	1	1	yes	characteristic
118	C₂×#394	C₂²	1	1	yes	characteristic
119	C₂×#394	C₂²	1	1	yes	characteristic
120	C₂×#394	C₂²	1	1	yes	characteristic
121	C₂×#394	C₂²	1	1	yes	characteristic
122	C₂×#392	C₂²	1	1	yes	characteristic
123	C₂×#392	C₂²	1	1	yes	characteristic
124	#2375	C₂²	1	16	yes	complemented
125	#2363	C₂²	1	16	yes	complemented
126	#2319	C₂²	1	16	yes	complemented
127	C₂×#390	C₂²	1	1	yes	characteristic
128	C₂×#390	C₂²	1	1	yes	characteristic
129	C₂×#390	C₂²	1	1	yes	characteristic
130	C₂×#390	C₂²	1	1	yes	characteristic
131	C₂×#390	C₂²	1	1	yes	characteristic
132	C₂×#390	C₂²	1	1	yes	characteristic
133	C₂×#390	C₂²	1	1	yes	characteristic
134	C₂×#390	C₂²	1	1	yes	characteristic, complemented
135	C₂×#389	C₂²	1	1	yes	characteristic, complemented
136	C₂×#389	C₂²	1	1	yes	characteristic, complemented
137	C₂×#389	C₂²	1	1	yes	characteristic, complemented
138	C₂×#389	C₂²	1	1	yes	characteristic, complemented
139	C₂×#389	C₂²	1	1	yes	characteristic, complemented
140	C₂×#389	C₂²	1	1	yes	characteristic, complemented
141	C₂×#389	C₂²	1	1	yes	characteristic, complemented
142	C₂×#389	C₂²	1	1	yes	characteristic, complemented
143	C₂×#389	C₂²	1	1	yes	characteristic, complemented
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
163	C₂×#388	C₂²	1	1	yes	characteristic
164	C₂×#388	C₂²	1	1	yes	characteristic
165	C₂×#388	C₂²	1	1	yes	characteristic
166	C₂×#388	C₂²	1	1	yes	characteristic
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×#388	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×#386	C₂²	1	1	yes	characteristic
180	C₂×#386	C₂²	1	1	yes	characteristic
181	C₂×#386	C₂²	1	1	yes	characteristic
182	C₂×#386	C₂²	1	1	yes	characteristic
183	C₂×#386	C₂²	1	1	yes	characteristic
184	C₂×#386	C₂²	1	1	yes	characteristic
185	C₂×#386	C₂²	1	1	yes	characteristic
186	C₂×#386	C₂²	1	1	yes	characteristic
187	C₂×#386	C₂²	1	1	yes	characteristic, complemented
188	C₂×#386	C₂²	1	1	yes	characteristic, complemented
189	C₂×#386	C₂²	1	1	yes	characteristic, complemented
190	C₂×#385	C₂²	1	1	yes	characteristic
191	C₂×#385	C₂²	1	1	yes	characteristic
192	C₂×#385	C₂²	1	1	yes	characteristic
193	C₂×#385	C₂²	1	1	yes	characteristic, complemented
194	C₂×#385	C₂²	1	1	yes	characteristic, complemented
195	C₂×#385	C₂²	1	1	yes	characteristic, complemented
196	C₂×#385	C₂²	1	1	yes	characteristic, complemented
197	C₂×#383	C₂²	1	1	yes	characteristic, complemented
198	C₂×#383	C₂²	1	1	yes	characteristic, complemented
199	C₂×#382	C₂²	1	1	yes	characteristic, complemented
200	C₂×#381	C₂²	1	1	yes	characteristic
201	C₂×#381	C₂²	1	1	yes	characteristic, complemented
202	C₂×#381	C₂²	1	1	yes	characteristic, complemented
203	C₂×#380	C₂²	1	1	yes	characteristic
204	C₂×#380	C₂²	1	1	yes	characteristic
205	C₂×#380	C₂²	1	1	yes	characteristic
206	C₂×#380	C₂²	1	1	yes	characteristic, complemented
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×#379	C₂²	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
216	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
218	C₂×#376	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×D₄	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	C₂³×D₄	C₂³	1	1	yes	characteristic
225	C₂³×D₄	C₂³	1	1	yes	characteristic
226	C₂³×D₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₄	C₂³	1	1	yes	characteristic
228	C₂⁴×C₄	C₂³	1	1	yes	characteristic
229	C₂⁴×C₄	C₂³	1	1	yes	characteristic
230	C₂⁴×C₄	C₂³	1	1	yes	characteristic
231	C₂⁴×C₄	C₂³	1	1	yes	characteristic
232	C₂⁴×C₄	C₂³	1	1	yes	characteristic
233	C₂×#126	—	4	4	no	—
234	C₂×#126	—	4	4	no	—
235	C₂×#126	—	4	4	no	—
236	C₂×#126	C₂³	1	8	yes	—
237	C₂×#126	C₂³	1	8	yes	—
238	C₂×#126	C₂³	1	8	yes	complemented
239	C₂×#125	—	4	4	no	—
240	C₂×#125	C₂³	1	8	yes	complemented
241	C₂×#123	—	4	4	no	—
242	C₂×#123	—	4	4	no	—
243	C₂×#123	—	4	4	no	—
244	C₂×#123	C₂³	1	8	yes	—
245	C₂×#123	C₂³	1	8	yes	—
246	C₂×#123	C₂³	1	8	yes	—
247	C₂×#121	—	2	8	no	—
248	C₂×#121	C₂³	1	8	yes	—
249	C₂×#120	—	2	8	no	—
250	C₂×#120	—	4	4	no	—
251	C₂×#120	C₂³	1	8	yes	—
252	C₂×#120	C₂³	1	8	yes	—
253	C₂×C₄×D₄	—	2	8	no	—
254	C₂×C₄×D₄	—	4	4	no	—
255	C₂×C₄×D₄	C₂³	1	8	yes	—
256	C₂×C₄×D₄	C₂³	1	8	yes	—
257	C₂×#117	—	4	4	no	—
258	C₂×#117	C₂³	1	8	yes	complemented
259	C₂²×C₄⋊C₄	—	4	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₄⋊C₄	C₂³	1	8	yes	complemented
296	C₂²×C₂²⋊C₄	—	4	4	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
346	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂²×C₄²	C₂³	1	1	yes	characteristic
351	C₂²×C₄²	C₂³	1	1	yes	characteristic
352	C₂²×C₄²	C₂³	1	1	yes	characteristic
353	C₂²×C₄²	C₂³	1	1	yes	characteristic
354	C₂²×C₄²	C₂³	1	1	yes	characteristic
355	C₂²×C₄²	C₂³	1	1	yes	characteristic
356	C₂²×C₄²	C₂³	1	1	yes	characteristic
357	C₂²×C₄²	C₂³	1	1	yes	characteristic
358	C₂²×C₄²	C₂³	1	1	yes	characteristic
359	C₂²×C₄²	C₂³	1	1	yes	characteristic
360	C₂²×C₄²	C₂³	1	1	yes	characteristic
361	C₂²×C₄²	C₂³	1	1	yes	characteristic
362	#400	C₂³	1	8	yes	complemented
363	#400	C₂³	1	8	yes	complemented
364	#400	C₂³	1	8	yes	complemented
365	#400	C₂³	1	8	yes	complemented
366	#400	C₂³	1	8	yes	complemented
367	#400	C₂³	1	8	yes	complemented
368	#400	C₂³	1	8	yes	complemented
369	#399	C₂³	1	8	yes	—
370	#399	C₂³	1	8	yes	—
371	#399	C₂³	1	8	yes	—
372	#399	C₂³	1	8	yes	complemented
373	#398	C₂³	1	8	yes	complemented
374	#398	C₂³	1	8	yes	complemented
375	#398	C₂³	1	8	yes	complemented
376	#398	C₂³	1	8	yes	complemented
377	#398	C₂³	1	8	yes	complemented
378	#397	C₂³	1	8	yes	—
379	#397	C₂³	1	8	yes	—
380	#397	C₂³	1	8	yes	—
381	#397	C₂³	1	8	yes	—
382	#397	C₂³	1	8	yes	—
383	#397	C₂³	1	8	yes	—
384	#397	C₂³	1	8	yes	—
385	#397	C₂³	1	8	yes	—
386	#397	C₂³	1	8	yes	complemented
387	#396	C₂³	1	8	yes	—
388	#396	C₂³	1	8	yes	—
389	#396	C₂³	1	8	yes	—
390	#396	C₂³	1	8	yes	—
391	#396	C₂³	1	8	yes	—
392	#396	C₂³	1	8	yes	—
393	#396	C₂³	1	8	yes	—
394	#396	C₂³	1	8	yes	complemented
395	#396	C₂³	1	8	yes	complemented
396	#396	C₂³	1	8	yes	complemented
397	#396	C₂³	1	8	yes	complemented
398	#394	C₂³	1	8	yes	—
399	#394	C₂³	1	8	yes	—
400	#394	C₂³	1	8	yes	—
401	#394	C₂³	1	8	yes	—
402	#394	C₂³	1	8	yes	—
403	#394	C₂³	1	8	yes	—
404	#394	C₂³	1	8	yes	—
405	#394	C₂³	1	8	yes	—
406	#394	C₂³	1	8	yes	—
407	#394	C₂³	1	8	yes	—
408	#392	C₂³	1	8	yes	—
409	#392	C₂³	1	8	yes	—
410	#390	C₂³	1	8	yes	—
411	#390	C₂³	1	8	yes	—
412	#390	C₂³	1	8	yes	—
413	#390	C₂³	1	8	yes	—
414	#390	C₂³	1	8	yes	—
415	#390	C₂³	1	8	yes	—
416	#390	C₂³	1	8	yes	—
417	#390	C₂³	1	8	yes	complemented
418	#389	C₂³	1	8	yes	complemented
419	#389	C₂³	1	8	yes	complemented
420	#389	C₂³	1	8	yes	complemented
421	#389	C₂³	1	8	yes	complemented
422	#389	C₂³	1	8	yes	complemented
423	#389	C₂³	1	8	yes	complemented
424	#389	C₂³	1	8	yes	complemented
425	#389	C₂³	1	8	yes	complemented
426	#389	C₂³	1	8	yes	complemented
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	—
434	#388	C₂³	1	8	yes	—
435	#388	C₂³	1	8	yes	—
436	#388	C₂³	1	8	yes	—
437	#388	C₂³	1	8	yes	—
438	#388	C₂³	1	8	yes	—
439	#388	C₂³	1	8	yes	—
440	#388	C₂³	1	8	yes	—
441	#388	C₂³	1	8	yes	—
442	#388	C₂³	1	8	yes	—
443	#388	C₂³	1	8	yes	—
444	#388	C₂³	1	8	yes	—
445	#388	C₂³	1	8	yes	—
446	#388	C₂³	1	8	yes	—
447	#388	C₂³	1	8	yes	—
448	#388	C₂³	1	8	yes	—
449	#388	C₂³	1	8	yes	—
450	#388	C₂³	1	8	yes	complemented
451	#388	C₂³	1	8	yes	complemented
452	#388	C₂³	1	8	yes	complemented
453	#388	C₂³	1	8	yes	complemented
454	#388	C₂³	1	8	yes	complemented
455	#388	C₂³	1	8	yes	complemented
456	#387	C₂³	1	8	yes	complemented
457	#387	C₂³	1	8	yes	complemented
458	#387	C₂³	1	8	yes	complemented
459	#387	C₂³	1	8	yes	complemented
460	#387	C₂³	1	8	yes	complemented
461	#387	C₂³	1	8	yes	complemented
462	#386	C₂³	1	8	yes	—
463	#386	C₂³	1	8	yes	—
464	#386	C₂³	1	8	yes	—
465	#386	C₂³	1	8	yes	—
466	#386	C₂³	1	8	yes	—
467	#386	C₂³	1	8	yes	—
468	#386	C₂³	1	8	yes	—
469	#386	C₂³	1	8	yes	—
470	#386	C₂³	1	8	yes	complemented
471	#386	C₂³	1	8	yes	complemented
472	#386	C₂³	1	8	yes	complemented
473	#385	C₂³	1	8	yes	—
474	#385	C₂³	1	8	yes	—
475	#385	C₂³	1	8	yes	—
476	#385	C₂³	1	8	yes	complemented
477	#385	C₂³	1	8	yes	complemented
478	#385	C₂³	1	8	yes	complemented
479	#385	C₂³	1	8	yes	complemented
480	#383	C₂³	1	8	yes	complemented
481	#383	C₂³	1	8	yes	complemented
482	#382	C₂³	1	8	yes	complemented
483	#381	C₂³	1	8	yes	—
484	#381	C₂³	1	8	yes	complemented
485	#381	C₂³	1	8	yes	complemented
486	#380	C₂³	1	8	yes	—
487	#380	C₂³	1	8	yes	—
488	#380	C₂³	1	8	yes	—
489	#380	C₂³	1	8	yes	complemented
490	#379	C₂³	1	8	yes	—
491	#379	C₂³	1	8	yes	—
492	#379	C₂³	1	8	yes	—
493	#379	C₂³	1	8	yes	—
494	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
495	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
496	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
497	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
498	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
499	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
500	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
501	#376	C₂³	1	8	yes	complemented
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	C₂×#95	C₂³	1	1	yes	characteristic
542	C₂×#95	C₂³	1	1	yes	characteristic
543	C₂×#95	C₂³	1	1	yes	characteristic
544	C₂⁵	—	2	4	no	—
545	C₂⁵	—	4	2	no	—
546	C₂⁵	—	4	2	no	—
547	C₂⁵	—	4	2	no	—
548	C₂⁵	—	4	2	no	—
549	C₂⁵	—	4	2	no	—
550	C₂⁵	—	4	2	no	—
551	C₂⁵	C₂⁴	1	1	yes	characteristic
552	C₂⁵	C₂⁴	1	1	yes	characteristic
553	C₂⁵	C₂⁴	1	1	yes	characteristic
554	C₂⁵	C₂⁴	1	1	yes	characteristic
555	C₂⁵	C₂⁴	1	1	yes	characteristic
556	C₂⁵	C₂⁴	1	4	yes	—
557	C₂²×D₄	—	2	4	no	—
558	C₂²×D₄	—	2	4	no	—
559	C₂²×D₄	—	2	4	no	—
560	C₂²×D₄	—	2	4	no	—
561	C₂²×D₄	—	2	4	no	—
562	C₂²×D₄	—	4	2	no	—
563	C₂²×D₄	—	4	2	no	—
564	C₂²×D₄	—	4	2	no	—
565	C₂²×D₄	—	4	2	no	—
566	C₂²×D₄	—	4	2	no	—
567	C₂²×D₄	—	4	2	no	—
568	C₂²×D₄	—	4	2	no	—
569	C₂²×D₄	—	4	2	no	—
570	C₂²×D₄	—	4	2	no	—
571	C₂²×D₄	—	4	2	no	—
572	C₂²×D₄	—	4	2	no	—
573	C₂²×D₄	—	4	2	no	—
574	C₂²×D₄	—	4	2	no	—
575	C₂²×D₄	—	4	2	no	—
576	C₂²×D₄	—	4	2	no	—
577	C₂²×D₄	#41	1	8	yes	—
578	C₂²×D₄	C₂⁴	1	4	yes	—
579	C₂²×D₄	C₂⁴	1	4	yes	—
580	C₂²×D₄	C₂⁴	1	4	yes	—
581	C₂²×D₄	C₂⁴	1	4	yes	—
582	C₂²×D₄	C₂⁴	1	4	yes	—
583	C₂²×D₄	C₂⁴	1	4	yes	—
584	C₂²×D₄	C₂⁴	1	4	yes	—
585	C₂³×C₄	—	2	4	no	—
586	C₂³×C₄	—	2	4	no	—
587	C₂³×C₄	—	2	4	no	—
588	C₂³×C₄	—	2	4	no	—
589	C₂³×C₄	—	2	4	no	—
590	C₂³×C₄	—	4	2	no	—
591	C₂³×C₄	—	4	2	no	—
592	C₂³×C₄	—	4	2	no	—
593	C₂³×C₄	—	4	2	no	—
594	C₂³×C₄	—	4	2	no	—
595	C₂³×C₄	—	4	2	no	—
596	C₂³×C₄	—	4	2	no	—
597	C₂³×C₄	—	4	2	no	—
598	C₂³×C₄	—	4	2	no	—
599	C₂³×C₄	—	4	2	no	—
600	C₂³×C₄	—	4	2	no	—
601	C₂³×C₄	—	4	2	no	—
602	C₂³×C₄	—	4	2	no	—
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	1	yes	characteristic
609	C₂³×C₄	C₂⁴	1	1	yes	characteristic
610	C₂³×C₄	C₂⁴	1	1	yes	characteristic
611	C₂³×C₄	C₂⁴	1	1	yes	characteristic
612	C₂³×C₄	C₂⁴	1	1	yes	characteristic
613	C₂³×C₄	C₂⁴	1	1	yes	characteristic
614	C₂³×C₄	C₂⁴	1	1	yes	characteristic
615	C₂³×C₄	C₂⁴	1	1	yes	characteristic
616	C₂³×C₄	C₂⁴	1	1	yes	characteristic
617	C₂³×C₄	C₂⁴	1	1	yes	characteristic
618	C₂³×C₄	C₂⁴	1	1	yes	characteristic
619	C₂³×C₄	C₂⁴	1	1	yes	characteristic
620	C₂³×C₄	C₂⁴	1	1	yes	characteristic
621	C₂³×C₄	C₂⁴	1	1	yes	characteristic
622	C₂³×C₄	C₂⁴	1	1	yes	characteristic
623	C₂³×C₄	C₂⁴	1	1	yes	characteristic
624	C₂³×C₄	C₂⁴	1	1	yes	characteristic
625	C₂³×C₄	C₂⁴	1	1	yes	characteristic
626	C₂³×C₄	C₂⁴	1	4	yes	—
627	C₂³×C₄	C₂⁴	1	1	yes	characteristic
628	C₂³×C₄	C₂⁴	1	1	yes	characteristic
629	C₂³×C₄	C₂⁴	1	1	yes	characteristic
630	C₂³×C₄	C₂⁴	1	4	yes	—
631	C₂³×C₄	C₂⁴	1	4	yes	—
632	C₂³×C₄	C₂⁴	1	4	yes	—
633	C₂³×C₄	C₂⁴	1	4	yes	—
634	C₂³×C₄	C₂⁴	1	4	yes	—
635	#126	—	4	16	no	—
636	#126	—	4	16	no	—
637	#126	—	4	16	no	—
638	#125	—	4	16	no	—
639	#123	—	4	16	no	—
640	#123	—	4	16	no	—
641	#123	—	4	16	no	—
642	#121	—	2	32	no	—
643	#120	—	2	32	no	—
644	#120	—	4	16	no	—
645	C₄×D₄	—	2	32	no	—
646	C₄×D₄	—	4	16	no	—
647	#117	—	4	16	no	—
648	C₂×C₄⋊C₄	—	2	4	no	—
649	C₂×C₄⋊C₄	—	2	4	no	—
650	C₂×C₄⋊C₄	—	2	4	no	—
651	C₂×C₄⋊C₄	—	2	4	no	—
652	C₂×C₄⋊C₄	—	2	4	no	—
653	C₂×C₄⋊C₄	—	2	4	no	—
654	C₂×C₄⋊C₄	—	2	4	no	—
655	C₂×C₄⋊C₄	—	2	4	no	—
656	C₂×C₄⋊C₄	—	2	4	no	—
657	C₂×C₄⋊C₄	—	4	16	no	—
658	C₂×C₄⋊C₄	—	4	2	no	—
659	C₂×C₄⋊C₄	—	4	2	no	—
660	C₂×C₄⋊C₄	—	4	2	no	—
661	C₂×C₄⋊C₄	—	4	2	no	—
662	C₂×C₄⋊C₄	—	4	2	no	—
663	C₂×C₄⋊C₄	—	4	2	no	—
664	C₂×C₄⋊C₄	—	4	2	no	—
665	C₂×C₄⋊C₄	—	4	2	no	—
666	C₂×C₄⋊C₄	—	4	2	no	—
667	C₂×C₄⋊C₄	—	4	2	no	—
668	C₂×C₄⋊C₄	—	4	2	no	—
669	C₂×C₄⋊C₄	—	4	2	no	—
670	C₂×C₄⋊C₄	—	4	2	no	—
671	C₂×C₄⋊C₄	—	4	2	no	—
672	C₂×C₄⋊C₄	—	4	2	no	—
673	C₂×C₄⋊C₄	—	4	2	no	—
674	C₂×C₄⋊C₄	—	4	2	no	—
675	C₂×C₄⋊C₄	—	4	2	no	—
676	C₂×C₄⋊C₄	—	4	2	no	—
677	C₂×C₄⋊C₄	—	4	2	no	—
678	C₂×C₄⋊C₄	—	4	2	no	—
679	C₂×C₄⋊C₄	—	4	2	no	—
680	C₂×C₄⋊C₄	—	4	2	no	—
681	C₂×C₄⋊C₄	—	4	2	no	—
682	C₂×C₄⋊C₄	—	4	2	no	—
683	C₂×C₄⋊C₄	—	4	2	no	—
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×C₄⋊C₄	C₂⁴	1	4	yes	—
698	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
699	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
706	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
708	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
710	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
714	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
716	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊C₄	—	2	4	no	—
720	C₂×C₂²⋊C₄	—	2	4	no	—
721	C₂×C₂²⋊C₄	—	2	4	no	—
722	C₂×C₂²⋊C₄	—	2	4	no	—
723	C₂×C₂²⋊C₄	—	2	4	no	—
724	C₂×C₂²⋊C₄	—	2	4	no	—
725	C₂×C₂²⋊C₄	—	2	4	no	—
726	C₂×C₂²⋊C₄	—	2	4	no	—
727	C₂×C₂²⋊C₄	—	2	4	no	—
728	C₂×C₂²⋊C₄	—	2	4	no	—
729	C₂×C₂²⋊C₄	—	2	4	no	—
730	C₂×C₂²⋊C₄	—	2	4	no	—
731	C₂×C₂²⋊C₄	—	2	4	no	—
732	C₂×C₂²⋊C₄	—	4	16	no	—
733	C₂×C₂²⋊C₄	—	4	2	no	—
734	C₂×C₂²⋊C₄	—	4	2	no	—
735	C₂×C₂²⋊C₄	—	4	2	no	—
736	C₂×C₂²⋊C₄	—	4	2	no	—
737	C₂×C₂²⋊C₄	—	4	2	no	—
738	C₂×C₂²⋊C₄	—	4	2	no	—
739	C₂×C₂²⋊C₄	—	4	2	no	—
740	C₂×C₂²⋊C₄	—	4	2	no	—
741	C₂×C₂²⋊C₄	—	4	2	no	—
742	C₂×C₂²⋊C₄	—	4	2	no	—
743	C₂×C₂²⋊C₄	—	4	2	no	—
744	C₂×C₂²⋊C₄	—	4	2	no	—
745	C₂×C₂²⋊C₄	—	4	2	no	—
746	C₂×C₂²⋊C₄	—	4	2	no	—
747	C₂×C₂²⋊C₄	—	4	2	no	—
748	C₂×C₂²⋊C₄	—	4	2	no	—
749	C₂×C₂²⋊C₄	—	4	2	no	—
750	C₂×C₂²⋊C₄	—	4	2	no	—
751	C₂×C₂²⋊C₄	—	4	2	no	—
752	C₂×C₂²⋊C₄	—	4	2	no	—
753	C₂×C₂²⋊C₄	—	4	2	no	—
754	C₂×C₂²⋊C₄	—	4	2	no	—
755	C₂×C₂²⋊C₄	—	4	2	no	—
756	C₂×C₂²⋊C₄	—	4	2	no	—
757	C₂×C₂²⋊C₄	—	4	2	no	—
758	C₂×C₂²⋊C₄	—	4	2	no	—
759	C₂×C₂²⋊C₄	—	4	2	no	—
760	C₂×C₂²⋊C₄	—	4	2	no	—
761	C₂×C₂²⋊C₄	—	4	2	no	—
762	C₂×C₂²⋊C₄	—	4	2	no	—
763	C₂×C₂²⋊C₄	—	4	2	no	—
764	C₂×C₂²⋊C₄	—	4	2	no	—
765	C₂×C₂²⋊C₄	—	4	2	no	—
766	C₂×C₂²⋊C₄	—	4	2	no	—
767	C₂×C₂²⋊C₄	—	4	2	no	—
768	C₂×C₂²⋊C₄	—	4	2	no	—
769	C₂×C₂²⋊C₄	—	4	2	no	—
770	C₂×C₂²⋊C₄	—	4	2	no	—
771	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂⁴	1	4	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₄²	—	2	4	no	—
825	C₂×C₄²	—	2	4	no	—
826	C₂×C₄²	—	2	4	no	—
827	C₂×C₄²	—	4	2	no	—
828	C₂×C₄²	—	4	2	no	—
829	C₂×C₄²	—	4	2	no	—
830	C₂×C₄²	—	4	2	no	—
831	C₂×C₄²	—	4	2	no	—
832	C₂×C₄²	—	4	2	no	—
833	C₂×C₄²	—	4	2	no	—
834	C₂×C₄²	—	4	2	no	—
835	C₂×C₄²	—	4	2	no	—
836	C₂×C₄²	C₂⁴	1	4	yes	—
837	C₂×C₄²	C₂⁴	1	4	yes	—
838	C₂×C₄²	C₂⁴	1	4	yes	—
839	C₂×C₄²	C₂⁴	1	4	yes	—
840	C₂×C₄²	C₂⁴	1	4	yes	—
841	C₂×C₄²	C₂⁴	1	4	yes	—
842	C₂×C₄²	C₂⁴	1	4	yes	—
843	C₂×C₄²	C₂⁴	1	4	yes	—
844	C₂×C₄²	C₂⁴	1	4	yes	—
845	C₂×C₄²	C₂⁴	1	4	yes	—
846	C₂×C₄²	C₂⁴	1	4	yes	—
847	C₂×C₄²	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	#95	C₂⁴	1	4	yes	—
861	#95	C₂⁴	1	4	yes	—
862	#95	C₂⁴	1	4	yes	—
863	#95	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	4	yes	—
866	#95	C₂⁴	1	4	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	C₂⁴	—	2	2	no	—
891	C₂⁴	—	2	2	no	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	—	2	2	no	—
894	C₂⁴	—	2	2	no	—
895	C₂⁴	—	2	2	no	—
896	C₂⁴	—	2	2	no	—
897	C₂⁴	—	2	2	no	—
898	C₂⁴	—	2	2	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	2	2	no	—
901	C₂⁴	—	2	2	no	—
902	C₂⁴	—	2	2	no	—
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	2	no	—
905	C₂⁴	—	2	2	no	—
906	C₂⁴	—	2	2	no	—
907	C₂⁴	—	2	2	no	—
908	C₂⁴	—	2	2	no	—
909	C₂⁴	—	2	2	no	—
910	C₂⁴	—	2	2	no	—
911	C₂⁴	—	2	2	no	—
912	C₂⁴	—	2	2	no	—
913	C₂⁴	—	2	2	no	—
914	C₂⁴	—	2	2	no	—
915	C₂⁴	—	2	2	no	—
916	C₂⁴	—	2	2	no	—
917	C₂⁴	—	2	2	no	—
918	C₂⁴	—	2	2	no	—
919	C₂⁴	—	2	2	no	—
920	C₂⁴	—	2	2	no	—
921	C₂⁴	—	2	2	no	—
922	C₂⁴	—	2	2	no	—
923	C₂⁴	—	2	8	no	—
924	C₂⁴	—	4	4	no	—
925	C₂⁴	—	4	4	no	—
926	C₂⁴	—	4	4	no	—
927	C₂⁴	—	4	4	no	—
928	C₂⁴	—	4	4	no	—
929	C₂⁴	—	4	4	no	—
930	C₂⁴	—	4	16	no	—
931	C₂⁴	—	8	8	no	—
932	C₂⁴	—	8	8	no	—
933	C₂⁴	—	8	8	no	—
934	C₂⁴	—	8	8	no	—
935	C₂⁴	—	8	8	no	—
936	C₂⁴	—	8	8	no	—
937	C₂⁴	C₂×#41	1	4	yes	—
938	C₂⁴	C₂×#41	1	4	yes	—
939	C₂⁴	C₂⁵	1	2	yes	—
940	C₂⁴	C₂⁵	1	2	yes	—
941	C₂⁴	C₂⁵	1	2	yes	—
942	C₂⁴	C₂⁵	1	2	yes	—
943	C₂⁴	C₂⁵	1	2	yes	—
944	C₂⁴	C₂⁵	1	1	yes	characteristic
945	C₂×D₄	—	2	8	no	—
946	C₂×D₄	—	2	8	no	—
947	C₂×D₄	—	2	8	no	—
948	C₂×D₄	—	2	8	no	—
949	C₂×D₄	—	2	8	no	—
950	C₂×D₄	—	4	4	no	—
951	C₂×D₄	—	4	16	no	—
952	C₂×D₄	—	4	4	no	—
953	C₂×D₄	—	4	4	no	—
954	C₂×D₄	—	4	16	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	—	4	4	no	—
957	C₂×D₄	—	4	4	no	—
958	C₂×D₄	—	4	4	no	—
959	C₂×D₄	—	4	4	no	—
960	C₂×D₄	—	4	4	no	—
961	C₂×D₄	—	4	4	no	—
962	C₂×D₄	—	4	4	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	4	no	—
965	C₂×D₄	—	4	4	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	—	8	8	no	—
968	C₂×D₄	—	8	8	no	—
969	C₂×D₄	—	8	8	no	—
970	C₂×D₄	—	8	8	no	—
971	C₂×D₄	—	8	8	no	—
972	C₂×D₄	C₂×#41	1	16	yes	—
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	8	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	2	no	—
1002	C₂²×C₄	—	2	2	no	—
1003	C₂²×C₄	—	2	2	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	2	2	no	—
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	2	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	2	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	8	no	—
1050	C₂²×C₄	—	2	8	no	—
1051	C₂²×C₄	—	2	8	no	—
1052	C₂²×C₄	—	2	8	no	—
1053	C₂²×C₄	—	4	4	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	4	no	—
1057	C₂²×C₄	—	4	4	no	—
1058	C₂²×C₄	—	4	4	no	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	4	4	no	—
1061	C₂²×C₄	—	4	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	16	no	—
1067	C₂²×C₄	—	4	16	no	—
1068	C₂²×C₄	—	8	8	no	—
1069	C₂²×C₄	—	8	8	no	—
1070	C₂²×C₄	—	8	8	no	—
1071	C₂²×C₄	—	8	8	no	—
1072	C₂²×C₄	C₂×#41	1	4	yes	—
1073	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1074	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1075	C₂²×C₄	C₂⁵	1	2	yes	—
1076	C₂²×C₄	C₂⁵	1	2	yes	—
1077	C₂²×C₄	C₂⁵	1	2	yes	—
1078	C₂²×C₄	C₂⁵	1	2	yes	—
1079	C₂²×C₄	C₂⁵	1	2	yes	—
1080	C₂²×C₄	C₂⁵	1	2	yes	—
1081	C₂²×C₄	C₂⁵	1	2	yes	—
1082	C₂²×C₄	C₂⁵	1	2	yes	—
1083	C₂²×C₄	C₂⁵	1	2	yes	—
1084	C₂²×C₄	C₂⁵	1	2	yes	—
1085	C₂²×C₄	C₂⁵	1	2	yes	—
1086	C₂²×C₄	C₂⁵	1	2	yes	—
1087	C₂²×C₄	C₂⁵	1	2	yes	—
1088	C₂²×C₄	C₂⁵	1	2	yes	—
1089	C₂²×C₄	C₂⁵	1	2	yes	—
1090	C₂²×C₄	C₂⁵	1	2	yes	—
1091	C₂²×C₄	C₂⁵	1	2	yes	—
1092	C₂²×C₄	C₂⁵	1	2	yes	—
1093	C₂²×C₄	C₂⁵	1	2	yes	—
1094	C₂²×C₄	C₂⁵	1	2	yes	—
1095	C₂²×C₄	C₂⁵	1	2	yes	—
1096	C₂²×C₄	C₂⁵	1	2	yes	—
1097	C₂²×C₄	C₂⁵	1	2	yes	—
1098	C₂²×C₄	C₂⁵	1	2	yes	—
1099	C₂²×C₄	C₂⁵	1	2	yes	—
1100	C₂²×C₄	C₂⁵	1	2	yes	—
1101	C₄⋊C₄	—	2	8	no	—
1102	C₄⋊C₄	—	2	8	no	—
1103	C₄⋊C₄	—	2	8	no	—
1104	C₄⋊C₄	—	2	8	no	—
1105	C₄⋊C₄	—	2	8	no	—
1106	C₄⋊C₄	—	2	8	no	—
1107	C₄⋊C₄	—	2	8	no	—
1108	C₄⋊C₄	—	2	8	no	—
1109	C₄⋊C₄	—	2	8	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	4	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₄⋊C₄	—	4	4	no	—
1114	C₄⋊C₄	—	4	4	no	—
1115	C₄⋊C₄	—	4	4	no	—
1116	C₄⋊C₄	—	4	4	no	—
1117	C₄⋊C₄	—	4	4	no	—
1118	C₄⋊C₄	—	4	4	no	—
1119	C₄⋊C₄	—	4	4	no	—
1120	C₄⋊C₄	—	4	4	no	—
1121	C₄⋊C₄	—	4	4	no	—
1122	C₄⋊C₄	—	4	4	no	—
1123	C₄⋊C₄	—	4	4	no	—
1124	C₄⋊C₄	—	4	4	no	—
1125	C₄⋊C₄	—	4	4	no	—
1126	C₄⋊C₄	—	4	4	no	—
1127	C₄⋊C₄	—	4	4	no	—
1128	C₄⋊C₄	—	4	4	no	—
1129	C₄⋊C₄	—	4	4	no	—
1130	C₄⋊C₄	—	4	4	no	—
1131	C₄⋊C₄	—	4	4	no	—
1132	C₄⋊C₄	—	4	4	no	—
1133	C₄⋊C₄	—	4	4	no	—
1134	C₄⋊C₄	—	4	4	no	—
1135	C₄⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	2	8	no	—
1137	C₂²⋊C₄	—	2	8	no	—
1138	C₂²⋊C₄	—	2	8	no	—
1139	C₂²⋊C₄	—	2	8	no	—
1140	C₂²⋊C₄	—	2	8	no	—
1141	C₂²⋊C₄	—	2	8	no	—
1142	C₂²⋊C₄	—	2	8	no	—
1143	C₂²⋊C₄	—	2	8	no	—
1144	C₂²⋊C₄	—	2	8	no	—
1145	C₂²⋊C₄	—	2	8	no	—
1146	C₂²⋊C₄	—	2	8	no	—
1147	C₂²⋊C₄	—	2	8	no	—
1148	C₂²⋊C₄	—	2	8	no	—
1149	C₂²⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	—	4	4	no	—
1153	C₂²⋊C₄	—	4	4	no	—
1154	C₂²⋊C₄	—	4	4	no	—
1155	C₂²⋊C₄	—	4	4	no	—
1156	C₂²⋊C₄	—	4	4	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	4	no	—
1159	C₂²⋊C₄	—	4	4	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	4	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	4	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	4	no	—
1169	C₂²⋊C₄	—	4	4	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	—	4	4	no	—
1186	C₂²⋊C₄	—	4	4	no	—
1187	C₂²⋊C₄	—	4	4	no	—
1188	C₄²	—	2	8	no	—
1189	C₄²	—	2	8	no	—
1190	C₄²	—	2	8	no	—
1191	C₄²	—	4	4	no	—
1192	C₄²	—	4	4	no	—
1193	C₄²	—	4	4	no	—
1194	C₄²	—	4	4	no	—
1195	C₄²	—	4	4	no	—
1196	C₄²	—	4	4	no	—
1197	C₄²	—	4	4	no	—
1198	C₄²	—	4	4	no	—
1199	C₄²	—	4	4	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	2	no	—
1207	C₂³	—	2	2	no	—
1208	C₂³	—	2	2	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	2	2	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	8	no	—
1213	C₂³	—	2	8	no	—
1214	C₂³	—	2	8	no	—
1215	C₂³	—	2	8	no	—
1216	C₂³	—	2	8	no	—
1217	C₂³	—	2	8	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	2	no	—
1228	C₂³	—	2	2	no	—
1229	C₂³	—	2	2	no	—
1230	C₂³	—	2	2	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	2	no	—
1233	C₂³	—	2	2	no	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	4	4	no	—
1240	C₂³	—	4	4	no	—
1241	C₂³	—	4	4	no	—
1242	C₂³	—	4	4	no	—
1243	C₂³	—	4	4	no	—
1244	C₂³	—	4	4	no	—
1245	C₂³	—	4	4	no	—
1246	C₂³	—	4	4	no	—
1247	C₂³	—	4	16	no	—
1248	C₂³	—	4	4	no	—
1249	C₂³	—	4	4	no	—
1250	C₂³	—	4	4	no	—
1251	C₂³	—	4	4	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	4	no	—
1254	C₂³	—	4	4	no	—
1255	C₂³	—	4	4	no	—
1256	C₂³	—	4	4	no	—
1257	C₂³	—	4	4	no	—
1258	C₂³	—	4	4	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	4	4	no	—
1261	C₂³	—	4	4	no	—
1262	C₂³	—	4	4	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	4	no	—
1265	C₂³	—	4	4	no	—
1266	C₂³	—	4	4	no	—
1267	C₂³	—	4	4	no	—
1268	C₂³	—	4	4	no	—
1269	C₂³	—	8	8	no	—
1270	C₂³	—	8	8	no	—
1271	C₂³	—	8	8	no	—
1272	C₂³	—	8	8	no	—
1273	C₂³	—	8	8	no	—
1274	C₂³	—	8	8	no	—
1275	C₂³	—	8	64	no	—
1276	C₂³	C₂²×#41	1	4	yes	—
1277	C₂³	C₂²×#41	1	4	yes	—
1278	C₂³	C₂²×#41	1	2	yes	—
1279	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1280	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1281	C₂³	#585	1	2	yes	—
1282	C₂³	#585	1	2	yes	—
1283	C₂³	#585	1	2	yes	—
1284	C₂³	#585	1	2	yes	—
1285	C₂³	C₂⁶	1	1	yes	characteristic
1286	D₄	—	4	16	no	—
1287	D₄	—	4	16	no	—
1288	D₄	—	8	8	no	—
1289	D₄	—	8	8	no	—
1290	D₄	—	8	8	no	—
1291	D₄	—	8	8	no	—
1292	D₄	—	8	8	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	—	2	8	no	—
1300	C₂×C₄	—	2	8	no	—
1301	C₂×C₄	—	2	8	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	2	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	2	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	2	no	—
1346	C₂×C₄	—	2	2	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	2	no	—
1358	C₂×C₄	—	2	2	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	2	no	—
1362	C₂×C₄	—	2	2	no	—
1363	C₂×C₄	—	2	2	no	—
1364	C₂×C₄	—	2	2	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	2	2	no	—
1367	C₂×C₄	—	2	2	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	4	16	no	—
1372	C₂×C₄	—	4	16	no	—
1373	C₂×C₄	—	4	4	no	—
1374	C₂×C₄	—	4	4	no	—
1375	C₂×C₄	—	4	4	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	4	4	no	—
1378	C₂×C₄	—	4	4	no	—
1379	C₂×C₄	—	4	4	no	—
1380	C₂×C₄	—	4	4	no	—
1381	C₂×C₄	—	4	4	no	—
1382	C₂×C₄	—	4	4	no	—
1383	C₂×C₄	—	4	4	no	—
1384	C₂×C₄	—	4	4	no	—
1385	C₂×C₄	—	4	4	no	—
1386	C₂×C₄	—	4	4	no	—
1387	C₂×C₄	—	4	4	no	—
1388	C₂×C₄	—	4	4	no	—
1389	C₂×C₄	—	4	4	no	—
1390	C₂×C₄	—	4	4	no	—
1391	C₂×C₄	—	4	4	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	4	4	no	—
1394	C₂×C₄	—	4	4	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	—	8	8	no	—
1397	C₂×C₄	—	8	8	no	—
1398	C₂×C₄	—	8	8	no	—
1399	C₂×C₄	—	8	8	no	—
1400	C₂×C₄	C₂²×#41	1	4	yes	—
1401	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1402	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1403	C₂²	—	2	4	no	—
1404	C₂²	—	2	4	no	—
1405	C₂²	—	2	4	no	—
1406	C₂²	—	2	4	no	—
1407	C₂²	—	2	4	no	—
1408	C₂²	—	2	4	no	—
1409	C₂²	—	4	2	no	—
1410	C₂²	—	4	2	no	—
1411	C₂²	—	4	2	no	—
1412	C₂²	—	4	2	no	—
1413	C₂²	—	4	2	no	—
1414	C₂²	—	4	2	no	—
1415	C₂²	—	4	2	no	—
1416	C₂²	—	4	2	no	—
1417	C₂²	—	4	16	no	—
1418	C₂²	—	4	16	no	—
1419	C₂²	—	4	2	no	—
1420	C₂²	—	4	2	no	—
1421	C₂²	—	4	2	no	—
1422	C₂²	—	4	2	no	—
1423	C₂²	—	4	2	no	—
1424	C₂²	—	4	2	no	—
1425	C₂²	—	4	2	no	—
1426	C₂²	—	4	2	no	—
1427	C₂²	—	4	2	no	—
1428	C₂²	—	4	2	no	—
1429	C₂²	—	4	2	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	4	2	no	—
1432	C₂²	—	4	2	no	—
1433	C₂²	—	4	2	no	—
1434	C₂²	—	4	2	no	—
1435	C₂²	—	4	2	no	—
1436	C₂²	—	4	2	no	—
1437	C₂²	—	4	2	no	—
1438	C₂²	—	4	2	no	—
1439	C₂²	—	4	2	no	—
1440	C₂²	—	8	32	no	—
1441	C₂²	—	8	8	no	—
1442	C₂²	—	8	8	no	—
1443	C₂²	—	8	8	no	—
1444	C₂²	#3491	1	4	yes	—
1445	C₂²	#3519	1	4	yes	—
1446	C₂²	#3521	1	4	yes	—
1447	C₂²	#3539	1	4	yes	—
1448	C₂²	#3540	1	4	yes	—
1449	C₂²	#3551	1	4	yes	—
1450	C₂²	#3560	1	4	yes	—
1451	C₂²	C₂³×#41	1	1	yes	characteristic
1452	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	C₂×#585	1	1	yes	characteristic
1455	C₂²	C₂×#585	1	1	yes	characteristic
1456	C₂²	C₂×#585	1	1	yes	characteristic
1457	C₂²	C₂×#585	1	1	yes	characteristic
1458	C₄	—	2	4	no	—
1459	C₄	—	2	4	no	—
1460	C₄	—	2	4	no	—
1461	C₄	—	4	2	no	—
1462	C₄	—	4	2	no	—
1463	C₄	—	4	2	no	—
1464	C₄	—	4	2	no	—
1465	C₄	—	4	2	no	—
1466	C₄	—	4	2	no	—
1467	C₄	—	4	2	no	—
1468	C₄	—	4	2	no	—
1469	C₄	—	4	2	no	—
1470	C₄	—	4	2	no	—
1471	C₄	—	4	2	no	—
1472	C₄	—	4	2	no	—
1473	C₄	—	4	2	no	—
1474	C₄	—	4	2	no	—
1475	C₄	—	4	2	no	—
1476	C₄	—	4	2	no	—
1477	C₄	—	4	2	no	—
1478	C₄	—	4	2	no	—
1479	C₄	—	4	2	no	—
1480	C₄	—	4	2	no	—
1481	C₄	—	4	2	no	—
1482	C₄	—	4	2	no	—
1483	C₄	—	4	2	no	—
1484	C₂	—	4	4	no	—
1485	C₂	—	4	4	no	—
1486	C₂	—	8	2	no	—
1487	C₂	—	8	2	no	—
1488	C₂	—	8	2	no	—
1489	C₂	#51807	1	8	yes	direct product factor
1490	C₂	C₂×#3539	1	1	yes	characteristic
1491	C₂	C₂×#3540	1	1	yes	characteristic
1492	C₂	C₂×#3560	1	1	yes	characteristic
1493	C₂	C₂×#3551	1	1	yes	characteristic
1494	C₂	C₂×#3519	1	1	yes	characteristic
1495	C₂	C₂×#3491	1	1	yes	characteristic
1496	C₂	C₂×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁶
prime radical	C₂×#2678	C₂
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×#2780	C₂	semidirect
2. C₂×#2777	C₂	semidirect
3. C₂×#2771	C₂	semidirect
4. C₂×#2753	C₂	semidirect
5. C₂×#2749	C₂	semidirect
6. C₂×#2749	C₂	semidirect
7. C₂×#2735	C₂	semidirect
8. C₂×#2727	C₂	semidirect
9. C₂×#2707	C₂	semidirect
10. C₂×#2705	C₂	semidirect
11. C₂×#2685	C₂	semidirect
13. #51807	C₂	direct (N × H)
14. C₂×#2601	C₂	semidirect
15. C₂×#2593	C₂	semidirect
16. C₂×#2558	C₂	semidirect
17. C₂×#2534	C₂	semidirect
18. C₂×#2526	C₂	semidirect
19. C₂×#2529	C₂	semidirect
20. C₂×#2525	C₂	semidirect
21. C₂×#2495	C₂	semidirect
22. C₂×#2413	C₂	semidirect
23. C₂×#2468	C₂	semidirect
24. C₂×#2481	C₂	semidirect
25. C₂×#2480	C₂	semidirect
26. C₂×#2443	C₂	semidirect
27. C₂×#2418	C₂	semidirect
28. C₂×#2664	C₂	semidirect
29. C₂×#2649	C₂	semidirect
30. C₂×#2375	C₂	semidirect
31. C₂×#2363	C₂	semidirect
32. C₂×#2319	C₂	semidirect
35. C₂²×#126	C₂²	semidirect
36. C₂²×#125	C₂²	semidirect
45. C₂²×#117	C₂²	semidirect
46. C₂³×C₄⋊C₄	C₂²	semidirect
48. #2780	C₂²	semidirect
49. #2777	C₂²	semidirect
50. #2771	C₂²	semidirect
51. #2753	C₂²	semidirect
52. #2749	C₂²	semidirect
53. #2749	C₂²	semidirect
54. #2735	C₂²	semidirect
55. #2727	C₂²	semidirect
56. #2707	C₂²	semidirect
57. #2705	C₂²	semidirect
58. #2685	C₂²	semidirect
60. #2664	C₂²	semidirect
61. #2649	C₂²	semidirect
62. #2601	C₂²	semidirect
63. #2593	C₂²	semidirect
64. #2558	C₂²	semidirect
65. #2534	C₂²	semidirect
66. #2529	C₂²	semidirect
67. #2526	C₂²	semidirect
68. #2525	C₂²	semidirect
69. #2495	C₂²	semidirect
70. #2481	C₂²	semidirect
71. #2480	C₂²	semidirect
72. #2468	C₂²	semidirect
73. #2443	C₂²	semidirect
74. #2418	C₂²	semidirect
75. #2413	C₂²	semidirect
76. C₂×#400	C₂²	semidirect
77. C₂×#400	C₂²	semidirect
78. C₂×#400	C₂²	semidirect
79. C₂×#400	C₂²	semidirect
80. C₂×#400	C₂²	semidirect
81. C₂×#400	C₂²	semidirect
82. C₂×#400	C₂²	semidirect
86. C₂×#399	C₂²	semidirect
87. C₂×#398	C₂²	semidirect
88. C₂×#398	C₂²	semidirect
89. C₂×#398	C₂²	semidirect
90. C₂×#398	C₂²	semidirect
91. C₂×#398	C₂²	semidirect
100. C₂×#397	C₂²	semidirect
108. C₂×#396	C₂²	semidirect
109. C₂×#396	C₂²	semidirect
110. C₂×#396	C₂²	semidirect
111. C₂×#396	C₂²	semidirect
124. #2375	C₂²	semidirect
125. #2363	C₂²	semidirect
126. #2319	C₂²	semidirect
134. C₂×#390	C₂²	semidirect
135. C₂×#389	C₂²	semidirect
136. C₂×#389	C₂²	semidirect
137. C₂×#389	C₂²	semidirect
138. C₂×#389	C₂²	semidirect
139. C₂×#389	C₂²	semidirect
140. C₂×#389	C₂²	semidirect
141. C₂×#389	C₂²	semidirect
142. C₂×#389	C₂²	semidirect
143. C₂×#389	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×#388	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
187. C₂×#386	C₂²	semidirect
188. C₂×#386	C₂²	semidirect
189. C₂×#386	C₂²	semidirect
193. C₂×#385	C₂²	semidirect
194. C₂×#385	C₂²	semidirect
195. C₂×#385	C₂²	semidirect
196. C₂×#385	C₂²	semidirect
197. C₂×#383	C₂²	semidirect
198. C₂×#383	C₂²	semidirect
199. C₂×#382	C₂²	semidirect
201. C₂×#381	C₂²	semidirect
202. C₂×#381	C₂²	semidirect
206. C₂×#380	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
216. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
217. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
218. C₂×#376	C₂²	semidirect
238. C₂×#126	C₂³	semidirect
240. C₂×#125	C₂³	semidirect
258. C₂×#117	C₂³	semidirect
295. C₂²×C₄⋊C₄	C₂³	semidirect
362. #400	C₂³	semidirect
363. #400	C₂³	semidirect
364. #400	C₂³	semidirect
365. #400	C₂³	semidirect
366. #400	C₂³	semidirect
367. #400	C₂³	semidirect
368. #400	C₂³	semidirect
372. #399	C₂³	semidirect
373. #398	C₂³	semidirect
374. #398	C₂³	semidirect
375. #398	C₂³	semidirect
376. #398	C₂³	semidirect
377. #398	C₂³	semidirect
386. #397	C₂³	semidirect
394. #396	C₂³	semidirect
395. #396	C₂³	semidirect
396. #396	C₂³	semidirect
397. #396	C₂³	semidirect
417. #390	C₂³	semidirect
418. #389	C₂³	semidirect
419. #389	C₂³	semidirect
420. #389	C₂³	semidirect
421. #389	C₂³	semidirect
422. #389	C₂³	semidirect
423. #389	C₂³	semidirect
424. #389	C₂³	semidirect
425. #389	C₂³	semidirect
426. #389	C₂³	semidirect
450. #388	C₂³	semidirect
451. #388	C₂³	semidirect
452. #388	C₂³	semidirect
453. #388	C₂³	semidirect
454. #388	C₂³	semidirect
455. #388	C₂³	semidirect
456. #387	C₂³	semidirect
457. #387	C₂³	semidirect
458. #387	C₂³	semidirect
459. #387	C₂³	semidirect
460. #387	C₂³	semidirect
461. #387	C₂³	semidirect
470. #386	C₂³	semidirect
471. #386	C₂³	semidirect
472. #386	C₂³	semidirect
476. #385	C₂³	semidirect
477. #385	C₂³	semidirect
478. #385	C₂³	semidirect
479. #385	C₂³	semidirect
480. #383	C₂³	semidirect
481. #383	C₂³	semidirect
482. #382	C₂³	semidirect
484. #381	C₂³	semidirect
485. #381	C₂³	semidirect
489. #380	C₂³	semidirect
494. C₄×C₄⋊C₄	C₂³	semidirect
495. C₄×C₄⋊C₄	C₂³	semidirect
496. C₄×C₄⋊C₄	C₂³	semidirect
497. C₄×C₄⋊C₄	C₂³	semidirect
499. C₄×C₂²⋊C₄	C₂³	semidirect
500. C₄×C₂²⋊C₄	C₂³	semidirect
501. #376	C₂³	semidirect
1489. C₂	#51807	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×#2780	2
C₂×#2777	2
C₂×#2771	2
C₂×#2753	2
C₂×#2749	2
C₂×#2735	2
C₂×#2727	2
C₂×#2707	2
C₂×#2705	2
C₂×#2685	2
C₂×#2678	2
#51807	2
C₂×#2601	2
C₂×#2593	2
C₂×#2558	2
C₂×#2534	2
C₂×#2526	2
C₂×#2529	2
C₂×#2525	2
C₂×#2495	2
C₂×#2413	2
C₂×#2468	2
C₂×#2481	2
C₂×#2480	2
C₂×#2443	2
C₂×#2418	2
C₂×#2664	2
C₂×#2649	2
C₂×#2375	2
C₂×#2363	2
C₂×#2319	2

Subgroups — C2×#51807 #7707726

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#51807 #7707726