Subgroups — C₂×#55652 #8101409

Order 512.

4862 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#55652	C₂	1	32	yes	maximal, direct product factor
2	C₂×#2793	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2793	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2793	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2790	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2787	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2777	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2773	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2759	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2754	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2747	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2736	C₂	1	1	yes	maximal, characteristic
13	C₂×#2735	C₂	1	1	yes	maximal, characteristic
14	C₂×#2735	C₂	1	1	yes	maximal, characteristic
15	C₂×#2735	C₂	1	1	yes	maximal, characteristic
16	C₂×#2721	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2720	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2831	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2831	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2836	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2594	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2577	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2589	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2574	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2519	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2421	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2469	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2480	C₂	1	1	yes	maximal, characteristic
29	C₂×#2480	C₂	1	1	yes	maximal, characteristic
30	C₂×#2637	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#2650	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2626	C₂	1	1	yes	maximal, characteristic
33	C₂²×#126	C₂²	1	1	yes	characteristic
34	C₂²×#126	C₂²	1	1	yes	characteristic
35	C₂²×#125	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	#2836	C₂²	1	16	yes	complemented
40	#2831	C₂²	1	16	yes	complemented
41	#2831	C₂²	1	16	yes	complemented
42	#2793	C₂²	1	16	yes	complemented
43	#2793	C₂²	1	16	yes	complemented
44	#2793	C₂²	1	16	yes	complemented
45	#2790	C₂²	1	16	yes	complemented
46	#2787	C₂²	1	16	yes	complemented
47	#2777	C₂²	1	16	yes	complemented
48	#2773	C₂²	1	16	yes	complemented
49	#2759	C₂²	1	16	yes	complemented
50	#2754	C₂²	1	16	yes	complemented
51	#2747	C₂²	1	16	yes	complemented
52	#2736	C₂²	1	16	yes	—
53	#2735	C₂²	1	16	yes	—
54	#2735	C₂²	1	16	yes	—
55	#2735	C₂²	1	16	yes	—
56	#2721	C₂²	1	16	yes	complemented
57	#2720	C₂²	1	16	yes	complemented
58	#2650	C₂²	1	16	yes	complemented
59	#2637	C₂²	1	16	yes	complemented
60	#2626	C₂²	1	16	yes	—
61	#2594	C₂²	1	16	yes	complemented
62	#2589	C₂²	1	16	yes	complemented
63	#2577	C₂²	1	16	yes	complemented
64	#2574	C₂²	1	16	yes	complemented
65	#2519	C₂²	1	16	yes	complemented
66	#2480	C₂²	1	16	yes	—
67	#2480	C₂²	1	16	yes	—
68	#2469	C₂²	1	16	yes	complemented
69	#2421	C₂²	1	16	yes	complemented
70	C₂×#401	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×#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×#399	C₂²	1	1	yes	characteristic
81	C₂×#399	C₂²	1	1	yes	characteristic
82	C₂×#399	C₂²	1	1	yes	characteristic
83	C₂×#399	C₂²	1	1	yes	characteristic
84	C₂×#399	C₂²	1	1	yes	characteristic
85	C₂×#398	C₂²	1	1	yes	characteristic, complemented
86	C₂×#398	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×#398	C₂²	1	1	yes	characteristic, complemented
93	C₂×#398	C₂²	1	1	yes	characteristic, complemented
94	C₂×#398	C₂²	1	1	yes	characteristic, complemented
95	C₂×#398	C₂²	1	1	yes	characteristic, complemented
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
101	C₂×#397	C₂²	1	1	yes	characteristic
102	C₂×#397	C₂²	1	1	yes	characteristic
103	C₂×#397	C₂²	1	1	yes	characteristic
104	C₂×#397	C₂²	1	1	yes	characteristic
105	C₂×#397	C₂²	1	1	yes	characteristic
106	C₂×#397	C₂²	1	1	yes	characteristic
107	C₂×#397	C₂²	1	1	yes	characteristic
108	C₂×#397	C₂²	1	1	yes	characteristic
109	C₂×#397	C₂²	1	1	yes	characteristic
110	C₂×#397	C₂²	1	1	yes	characteristic
111	C₂×#397	C₂²	1	1	yes	characteristic
112	C₂×#397	C₂²	1	1	yes	characteristic
113	C₂×#397	C₂²	1	1	yes	characteristic
114	C₂×#396	C₂²	1	1	yes	characteristic
115	C₂×#396	C₂²	1	1	yes	characteristic
116	C₂×#396	C₂²	1	1	yes	characteristic
117	C₂×#396	C₂²	1	1	yes	characteristic
118	C₂×#396	C₂²	1	1	yes	characteristic
119	C₂×#396	C₂²	1	1	yes	characteristic
120	C₂×#396	C₂²	1	1	yes	characteristic
121	C₂×#396	C₂²	1	1	yes	characteristic
122	C₂×#396	C₂²	1	1	yes	characteristic
123	C₂×#396	C₂²	1	1	yes	characteristic
124	C₂×#396	C₂²	1	1	yes	characteristic
125	C₂×#396	C₂²	1	1	yes	characteristic
126	C₂×#395	C₂²	1	1	yes	characteristic, complemented
127	C₂×#395	C₂²	1	1	yes	characteristic, complemented
128	C₂×#395	C₂²	1	1	yes	characteristic, complemented
129	C₂×#393	C₂²	1	1	yes	characteristic
130	C₂×#393	C₂²	1	1	yes	characteristic
131	C₂×#393	C₂²	1	1	yes	characteristic
132	C₂×#393	C₂²	1	1	yes	characteristic
133	C₂×#393	C₂²	1	1	yes	characteristic
134	C₂×#391	C₂²	1	1	yes	characteristic, complemented
135	C₂×#391	C₂²	1	1	yes	characteristic, complemented
136	C₂×#391	C₂²	1	1	yes	characteristic, complemented
137	C₂×#391	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×#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
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
168	C₂×#388	C₂²	1	1	yes	characteristic
169	C₂×#388	C₂²	1	1	yes	characteristic
170	C₂×#388	C₂²	1	1	yes	characteristic
171	C₂×#388	C₂²	1	1	yes	characteristic
172	C₂×#388	C₂²	1	1	yes	characteristic
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×#387	C₂²	1	1	yes	characteristic, complemented
188	C₂×#387	C₂²	1	1	yes	characteristic, complemented
189	C₂×#387	C₂²	1	1	yes	characteristic, complemented
190	C₂×#387	C₂²	1	1	yes	characteristic, complemented
191	C₂×#387	C₂²	1	1	yes	characteristic, complemented
192	C₂×#387	C₂²	1	1	yes	characteristic, complemented
193	C₂×#387	C₂²	1	1	yes	characteristic, complemented
194	C₂×#385	C₂²	1	1	yes	characteristic
195	C₂×#385	C₂²	1	1	yes	characteristic
196	C₂×#385	C₂²	1	1	yes	characteristic
197	C₂×#385	C₂²	1	1	yes	characteristic
198	C₂×#385	C₂²	1	1	yes	characteristic
199	C₂×#385	C₂²	1	1	yes	characteristic
200	C₂×#384	C₂²	1	1	yes	characteristic, complemented
201	C₂×#384	C₂²	1	1	yes	characteristic, complemented
202	C₂×#383	C₂²	1	1	yes	characteristic, complemented
203	C₂×#382	C₂²	1	1	yes	characteristic, complemented
204	C₂×#382	C₂²	1	1	yes	characteristic, complemented
205	C₂×#380	C₂²	1	1	yes	characteristic
206	C₂×#380	C₂²	1	1	yes	characteristic
207	C₂×#380	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×#379	C₂²	1	1	yes	characteristic
212	C₂×#379	C₂²	1	1	yes	characteristic
213	C₂×#379	C₂²	1	1	yes	characteristic
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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
218	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×Q₈	C₂³	1	1	yes	characteristic
221	C₂³×Q₈	C₂³	1	1	yes	characteristic
222	C₂⁴×C₄	C₂³	1	1	yes	characteristic
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂×#126	—	4	4	no	—
225	C₂×#126	—	4	4	no	—
226	C₂×#126	C₂³	1	8	yes	—
227	C₂×#126	C₂³	1	8	yes	—
228	C₂×#125	—	4	4	no	—
229	C₂×#125	C₂³	1	8	yes	complemented
230	C₂×C₂²⋊Q₈	—	4	4	no	—
231	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
232	C₂×C₄×Q₈	—	4	4	no	—
233	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
234	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	4	4	no	—
277	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
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×C₄²	C₂³	1	1	yes	characteristic
319	C₂²×C₄²	C₂³	1	1	yes	characteristic
320	C₂²×C₄²	C₂³	1	1	yes	characteristic
321	C₂²×C₄²	C₂³	1	1	yes	characteristic
322	C₂²×C₄²	C₂³	1	1	yes	characteristic
323	C₂²×C₄²	C₂³	1	1	yes	characteristic
324	C₂²×C₄²	C₂³	1	1	yes	characteristic
325	C₂²×C₄²	C₂³	1	1	yes	characteristic
326	C₂²×C₄²	C₂³	1	1	yes	characteristic
327	C₂²×C₄²	C₂³	1	1	yes	characteristic
328	C₂²×C₄²	C₂³	1	1	yes	characteristic
329	C₂²×C₄²	C₂³	1	1	yes	characteristic
330	#401	C₂³	1	8	yes	complemented
331	#400	C₂³	1	8	yes	complemented
332	#400	C₂³	1	8	yes	complemented
333	#400	C₂³	1	8	yes	complemented
334	#400	C₂³	1	8	yes	complemented
335	#400	C₂³	1	8	yes	complemented
336	#400	C₂³	1	8	yes	complemented
337	#400	C₂³	1	8	yes	complemented
338	#400	C₂³	1	8	yes	complemented
339	#400	C₂³	1	8	yes	complemented
340	#399	C₂³	1	8	yes	—
341	#399	C₂³	1	8	yes	—
342	#399	C₂³	1	8	yes	—
343	#399	C₂³	1	8	yes	—
344	#399	C₂³	1	8	yes	—
345	#398	C₂³	1	8	yes	complemented
346	#398	C₂³	1	8	yes	complemented
347	#398	C₂³	1	8	yes	complemented
348	#398	C₂³	1	8	yes	complemented
349	#398	C₂³	1	8	yes	complemented
350	#398	C₂³	1	8	yes	complemented
351	#398	C₂³	1	8	yes	complemented
352	#398	C₂³	1	8	yes	complemented
353	#398	C₂³	1	8	yes	complemented
354	#398	C₂³	1	8	yes	complemented
355	#398	C₂³	1	8	yes	complemented
356	#397	C₂³	1	8	yes	—
357	#397	C₂³	1	8	yes	—
358	#397	C₂³	1	8	yes	—
359	#397	C₂³	1	8	yes	—
360	#397	C₂³	1	8	yes	—
361	#397	C₂³	1	8	yes	—
362	#397	C₂³	1	8	yes	—
363	#397	C₂³	1	8	yes	—
364	#397	C₂³	1	8	yes	—
365	#397	C₂³	1	8	yes	—
366	#397	C₂³	1	8	yes	—
367	#397	C₂³	1	8	yes	—
368	#397	C₂³	1	8	yes	—
369	#397	C₂³	1	8	yes	—
370	#397	C₂³	1	8	yes	—
371	#397	C₂³	1	8	yes	—
372	#397	C₂³	1	8	yes	—
373	#397	C₂³	1	8	yes	—
374	#396	C₂³	1	8	yes	—
375	#396	C₂³	1	8	yes	—
376	#396	C₂³	1	8	yes	—
377	#396	C₂³	1	8	yes	—
378	#396	C₂³	1	8	yes	—
379	#396	C₂³	1	8	yes	—
380	#396	C₂³	1	8	yes	—
381	#396	C₂³	1	8	yes	—
382	#396	C₂³	1	8	yes	—
383	#396	C₂³	1	8	yes	—
384	#396	C₂³	1	8	yes	—
385	#396	C₂³	1	8	yes	—
386	#395	C₂³	1	8	yes	complemented
387	#395	C₂³	1	8	yes	complemented
388	#395	C₂³	1	8	yes	complemented
389	#393	C₂³	1	8	yes	—
390	#393	C₂³	1	8	yes	—
391	#393	C₂³	1	8	yes	—
392	#393	C₂³	1	8	yes	—
393	#393	C₂³	1	8	yes	—
394	#391	C₂³	1	8	yes	complemented
395	#391	C₂³	1	8	yes	complemented
396	#391	C₂³	1	8	yes	complemented
397	#391	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	#389	C₂³	1	8	yes	complemented
402	#389	C₂³	1	8	yes	complemented
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	#387	C₂³	1	8	yes	complemented
434	#387	C₂³	1	8	yes	complemented
435	#387	C₂³	1	8	yes	complemented
436	#387	C₂³	1	8	yes	complemented
437	#387	C₂³	1	8	yes	complemented
438	#387	C₂³	1	8	yes	complemented
439	#387	C₂³	1	8	yes	complemented
440	#387	C₂³	1	8	yes	complemented
441	#387	C₂³	1	8	yes	complemented
442	#387	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	#385	C₂³	1	8	yes	—
455	#385	C₂³	1	8	yes	—
456	#385	C₂³	1	8	yes	—
457	#385	C₂³	1	8	yes	—
458	#385	C₂³	1	8	yes	—
459	#385	C₂³	1	8	yes	—
460	#384	C₂³	1	8	yes	complemented
461	#384	C₂³	1	8	yes	complemented
462	#383	C₂³	1	8	yes	complemented
463	#382	C₂³	1	8	yes	complemented
464	#382	C₂³	1	8	yes	complemented
465	#380	C₂³	1	8	yes	—
466	#380	C₂³	1	8	yes	—
467	#380	C₂³	1	8	yes	—
468	#379	C₂³	1	8	yes	—
469	#379	C₂³	1	8	yes	—
470	#379	C₂³	1	8	yes	—
471	#379	C₂³	1	8	yes	—
472	#379	C₂³	1	8	yes	—
473	#379	C₂³	1	8	yes	—
474	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
475	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
476	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
477	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
478	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
479	C₂×#95	C₂³	1	1	yes	characteristic
480	C₂×#95	C₂³	1	1	yes	characteristic
481	C₂×#95	C₂³	1	1	yes	characteristic
482	C₂×#95	C₂³	1	1	yes	characteristic
483	C₂×#95	C₂³	1	1	yes	characteristic
484	C₂×#95	C₂³	1	1	yes	characteristic
485	C₂×#95	C₂³	1	1	yes	characteristic
486	C₂×#95	C₂³	1	1	yes	characteristic
487	C₂×#95	C₂³	1	1	yes	characteristic
488	C₂×#95	C₂³	1	1	yes	characteristic
489	C₂×#95	C₂³	1	1	yes	characteristic
490	C₂×#95	C₂³	1	1	yes	characteristic
491	C₂×#95	C₂³	1	1	yes	characteristic
492	C₂×#95	C₂³	1	1	yes	characteristic
493	C₂×#95	C₂³	1	1	yes	characteristic
494	C₂×#95	C₂³	1	1	yes	characteristic
495	C₂×#95	C₂³	1	1	yes	characteristic
496	C₂×#95	C₂³	1	1	yes	characteristic
497	C₂×#95	C₂³	1	1	yes	characteristic
498	C₂×#95	C₂³	1	1	yes	characteristic
499	C₂×#95	C₂³	1	1	yes	characteristic
500	C₂×#95	C₂³	1	1	yes	characteristic
501	C₂×#95	C₂³	1	1	yes	characteristic
502	C₂×#95	C₂³	1	1	yes	characteristic
503	C₂×#95	C₂³	1	1	yes	characteristic
504	C₂×#95	C₂³	1	1	yes	characteristic
505	C₂×#95	C₂³	1	1	yes	characteristic
506	C₂×#95	C₂³	1	1	yes	characteristic
507	C₂×#95	C₂³	1	1	yes	characteristic
508	C₂×#95	C₂³	1	1	yes	characteristic
509	C₂×#95	C₂³	1	1	yes	characteristic
510	C₂×#95	C₂³	1	1	yes	characteristic
511	C₂×#95	C₂³	1	1	yes	characteristic
512	C₂×#95	C₂³	1	1	yes	characteristic
513	C₂×#95	C₂³	1	1	yes	characteristic
514	C₂×#95	C₂³	1	1	yes	characteristic
515	C₂×#95	C₂³	1	1	yes	characteristic
516	C₂×#95	C₂³	1	1	yes	characteristic
517	C₂×#95	C₂³	1	1	yes	characteristic
518	C₂×#95	C₂³	1	1	yes	characteristic
519	C₂×#95	C₂³	1	1	yes	characteristic
520	C₂×#95	C₂³	1	1	yes	characteristic
521	C₂×#95	C₂³	1	1	yes	characteristic
522	C₂×#95	C₂³	1	1	yes	characteristic
523	C₂×#95	C₂³	1	1	yes	characteristic
524	C₂×#95	C₂³	1	1	yes	characteristic
525	C₂×#95	C₂³	1	1	yes	characteristic
526	C₂×#95	C₂³	1	1	yes	characteristic
527	C₂×#95	C₂³	1	1	yes	characteristic
528	C₂×#95	C₂³	1	1	yes	characteristic
529	C₂×#95	C₂³	1	1	yes	characteristic
530	C₂×#95	C₂³	1	1	yes	characteristic
531	C₂×#95	C₂³	1	1	yes	characteristic
532	C₂×#95	C₂³	1	1	yes	characteristic
533	C₂×#95	C₂³	1	1	yes	characteristic
534	C₂×#95	C₂³	1	1	yes	characteristic
535	C₂⁵	—	2	4	no	—
536	C₂⁵	—	4	2	no	—
537	C₂⁵	—	4	2	no	—
538	C₂⁵	—	4	2	no	—
539	C₂⁵	—	4	2	no	—
540	C₂⁵	—	4	2	no	—
541	C₂⁵	—	4	2	no	—
542	C₂⁵	C₂⁴	1	1	yes	characteristic
543	C₂⁵	C₂⁴	1	1	yes	characteristic
544	C₂⁵	C₂⁴	1	1	yes	characteristic
545	C₂⁵	C₂⁴	1	4	yes	—
546	C₂²×Q₈	—	2	4	no	—
547	C₂²×Q₈	—	4	2	no	—
548	C₂²×Q₈	—	4	2	no	—
549	C₂²×Q₈	—	4	2	no	—
550	C₂²×Q₈	—	4	2	no	—
551	C₂²×Q₈	—	4	2	no	—
552	C₂²×Q₈	C₂⁴	1	4	yes	—
553	C₂²×Q₈	C₂⁴	1	4	yes	—
554	C₂³×C₄	—	2	4	no	—
555	C₂³×C₄	—	4	2	no	—
556	C₂³×C₄	—	4	2	no	—
557	C₂³×C₄	—	4	2	no	—
558	C₂³×C₄	—	4	2	no	—
559	C₂³×C₄	—	4	2	no	—
560	C₂³×C₄	C₂⁴	1	1	yes	characteristic
561	C₂³×C₄	C₂⁴	1	1	yes	characteristic
562	C₂³×C₄	C₂⁴	1	1	yes	characteristic
563	C₂³×C₄	C₂⁴	1	1	yes	characteristic
564	C₂³×C₄	C₂⁴	1	1	yes	characteristic
565	C₂³×C₄	C₂⁴	1	1	yes	characteristic
566	C₂³×C₄	C₂⁴	1	1	yes	characteristic
567	C₂³×C₄	C₂⁴	1	1	yes	characteristic
568	C₂³×C₄	C₂⁴	1	1	yes	characteristic
569	C₂³×C₄	C₂⁴	1	1	yes	characteristic
570	C₂³×C₄	C₂⁴	1	1	yes	characteristic
571	C₂³×C₄	C₂⁴	1	1	yes	characteristic
572	C₂³×C₄	C₂⁴	1	1	yes	characteristic
573	C₂³×C₄	C₂⁴	1	1	yes	characteristic
574	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
589	C₂³×C₄	C₂⁴	1	4	yes	—
590	#126	—	4	16	no	—
591	#126	—	4	16	no	—
592	#125	—	4	16	no	—
593	C₂²⋊Q₈	—	4	16	no	—
594	C₄×Q₈	—	4	16	no	—
595	C₂×C₄⋊C₄	—	2	4	no	—
596	C₂×C₄⋊C₄	—	2	4	no	—
597	C₂×C₄⋊C₄	—	2	4	no	—
598	C₂×C₄⋊C₄	—	2	4	no	—
599	C₂×C₄⋊C₄	—	4	2	no	—
600	C₂×C₄⋊C₄	—	4	2	no	—
601	C₂×C₄⋊C₄	—	4	2	no	—
602	C₂×C₄⋊C₄	—	4	2	no	—
603	C₂×C₄⋊C₄	—	4	2	no	—
604	C₂×C₄⋊C₄	—	4	2	no	—
605	C₂×C₄⋊C₄	—	4	2	no	—
606	C₂×C₄⋊C₄	—	4	2	no	—
607	C₂×C₄⋊C₄	—	4	2	no	—
608	C₂×C₄⋊C₄	—	4	2	no	—
609	C₂×C₄⋊C₄	—	4	2	no	—
610	C₂×C₄⋊C₄	—	4	2	no	—
611	C₂×C₄⋊C₄	—	4	2	no	—
612	C₂×C₄⋊C₄	—	4	2	no	—
613	C₂×C₄⋊C₄	—	4	2	no	—
614	C₂×C₄⋊C₄	—	4	2	no	—
615	C₂×C₄⋊C₄	—	4	2	no	—
616	C₂×C₄⋊C₄	—	4	2	no	—
617	C₂×C₄⋊C₄	—	4	2	no	—
618	C₂×C₄⋊C₄	—	4	2	no	—
619	C₂×C₄⋊C₄	—	4	2	no	—
620	C₂×C₄⋊C₄	—	4	2	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	C₂⁴	1	4	yes	—
638	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
640	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
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×C₂²⋊C₄	—	2	4	no	—
680	C₂×C₂²⋊C₄	—	2	4	no	—
681	C₂×C₂²⋊C₄	—	2	4	no	—
682	C₂×C₂²⋊C₄	—	2	4	no	—
683	C₂×C₂²⋊C₄	—	2	4	no	—
684	C₂×C₂²⋊C₄	—	2	4	no	—
685	C₂×C₂²⋊C₄	—	4	16	no	—
686	C₂×C₂²⋊C₄	—	4	2	no	—
687	C₂×C₂²⋊C₄	—	4	2	no	—
688	C₂×C₂²⋊C₄	—	4	2	no	—
689	C₂×C₂²⋊C₄	—	4	2	no	—
690	C₂×C₂²⋊C₄	—	4	2	no	—
691	C₂×C₂²⋊C₄	—	4	2	no	—
692	C₂×C₂²⋊C₄	—	4	2	no	—
693	C₂×C₂²⋊C₄	—	4	2	no	—
694	C₂×C₂²⋊C₄	—	4	2	no	—
695	C₂×C₂²⋊C₄	—	4	2	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	C₂⁴	1	4	yes	—
721	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
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×C₄²	—	2	4	no	—
761	C₂×C₄²	—	4	2	no	—
762	C₂×C₄²	—	4	2	no	—
763	C₂×C₄²	—	4	2	no	—
764	C₂×C₄²	—	4	2	no	—
765	C₂×C₄²	—	4	2	no	—
766	C₂×C₄²	—	4	2	no	—
767	C₂×C₄²	—	4	2	no	—
768	C₂×C₄²	—	4	2	no	—
769	C₂×C₄²	—	4	2	no	—
770	C₂×C₄²	—	4	2	no	—
771	C₂×C₄²	—	4	2	no	—
772	C₂×C₄²	C₂⁴	1	4	yes	—
773	C₂×C₄²	C₂⁴	1	4	yes	—
774	C₂×C₄²	C₂⁴	1	4	yes	—
775	C₂×C₄²	C₂⁴	1	4	yes	—
776	C₂×C₄²	C₂⁴	1	4	yes	—
777	C₂×C₄²	C₂⁴	1	4	yes	—
778	C₂×C₄²	C₂⁴	1	4	yes	—
779	C₂×C₄²	C₂⁴	1	4	yes	—
780	C₂×C₄²	C₂⁴	1	4	yes	—
781	C₂×C₄²	C₂⁴	1	4	yes	—
782	C₂×C₄²	C₂⁴	1	4	yes	—
783	C₂×C₄²	C₂⁴	1	4	yes	—
784	#95	C₂⁴	1	4	yes	—
785	#95	C₂⁴	1	4	yes	—
786	#95	C₂⁴	1	4	yes	—
787	#95	C₂⁴	1	4	yes	—
788	#95	C₂⁴	1	4	yes	—
789	#95	C₂⁴	1	4	yes	—
790	#95	C₂⁴	1	4	yes	—
791	#95	C₂⁴	1	4	yes	—
792	#95	C₂⁴	1	4	yes	—
793	#95	C₂⁴	1	4	yes	—
794	#95	C₂⁴	1	4	yes	—
795	#95	C₂⁴	1	4	yes	—
796	#95	C₂⁴	1	4	yes	—
797	#95	C₂⁴	1	4	yes	—
798	#95	C₂⁴	1	4	yes	—
799	#95	C₂⁴	1	4	yes	—
800	#95	C₂⁴	1	4	yes	—
801	#95	C₂⁴	1	4	yes	—
802	#95	C₂⁴	1	4	yes	—
803	#95	C₂⁴	1	4	yes	—
804	#95	C₂⁴	1	4	yes	—
805	#95	C₂⁴	1	4	yes	—
806	#95	C₂⁴	1	4	yes	—
807	#95	C₂⁴	1	4	yes	—
808	#95	C₂⁴	1	4	yes	—
809	#95	C₂⁴	1	4	yes	—
810	#95	C₂⁴	1	4	yes	—
811	#95	C₂⁴	1	4	yes	—
812	#95	C₂⁴	1	4	yes	—
813	#95	C₂⁴	1	4	yes	—
814	#95	C₂⁴	1	4	yes	—
815	#95	C₂⁴	1	4	yes	—
816	#95	C₂⁴	1	4	yes	—
817	#95	C₂⁴	1	4	yes	—
818	#95	C₂⁴	1	4	yes	—
819	#95	C₂⁴	1	4	yes	—
820	#95	C₂⁴	1	4	yes	—
821	#95	C₂⁴	1	4	yes	—
822	#95	C₂⁴	1	4	yes	—
823	#95	C₂⁴	1	4	yes	—
824	#95	C₂⁴	1	4	yes	—
825	#95	C₂⁴	1	4	yes	—
826	#95	C₂⁴	1	4	yes	—
827	#95	C₂⁴	1	4	yes	—
828	#95	C₂⁴	1	4	yes	—
829	#95	C₂⁴	1	4	yes	—
830	#95	C₂⁴	1	4	yes	—
831	#95	C₂⁴	1	4	yes	—
832	#95	C₂⁴	1	4	yes	—
833	#95	C₂⁴	1	4	yes	—
834	#95	C₂⁴	1	4	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	4	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	4	yes	—
839	#95	C₂⁴	1	4	yes	—
840	C₂⁴	—	2	2	no	—
841	C₂⁴	—	2	2	no	—
842	C₂⁴	—	2	2	no	—
843	C₂⁴	—	2	2	no	—
844	C₂⁴	—	2	2	no	—
845	C₂⁴	—	2	2	no	—
846	C₂⁴	—	2	2	no	—
847	C₂⁴	—	2	2	no	—
848	C₂⁴	—	2	2	no	—
849	C₂⁴	—	2	2	no	—
850	C₂⁴	—	2	2	no	—
851	C₂⁴	—	2	2	no	—
852	C₂⁴	—	2	2	no	—
853	C₂⁴	—	2	2	no	—
854	C₂⁴	—	2	2	no	—
855	C₂⁴	—	2	2	no	—
856	C₂⁴	—	2	2	no	—
857	C₂⁴	—	2	2	no	—
858	C₂⁴	—	2	2	no	—
859	C₂⁴	—	2	2	no	—
860	C₂⁴	—	2	8	no	—
861	C₂⁴	—	4	4	no	—
862	C₂⁴	—	4	4	no	—
863	C₂⁴	—	4	4	no	—
864	C₂⁴	—	4	4	no	—
865	C₂⁴	—	4	4	no	—
866	C₂⁴	—	4	4	no	—
867	C₂⁴	—	4	16	no	—
868	C₂⁴	—	8	8	no	—
869	C₂⁴	—	8	8	no	—
870	C₂⁴	—	8	8	no	—
871	C₂⁴	—	8	8	no	—
872	C₂⁴	—	8	8	no	—
873	C₂⁴	—	8	8	no	—
874	C₂⁴	2₋¹⁺⁴	1	4	yes	—
875	C₂⁴	C₂⁵	1	2	yes	—
876	C₂⁴	C₂⁵	1	2	yes	—
877	C₂⁴	C₂⁵	1	2	yes	—
878	C₂⁴	C₂⁵	1	1	yes	characteristic
879	C₂×Q₈	—	2	8	no	—
880	C₂×Q₈	—	4	4	no	—
881	C₂×Q₈	—	4	4	no	—
882	C₂×Q₈	—	4	4	no	—
883	C₂×Q₈	—	4	4	no	—
884	C₂×Q₈	—	4	4	no	—
885	C₂×Q₈	—	4	16	no	—
886	C₂×Q₈	—	8	8	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	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	8	no	—
971	C₂²×C₄	—	4	4	no	—
972	C₂²×C₄	—	4	4	no	—
973	C₂²×C₄	—	4	4	no	—
974	C₂²×C₄	—	4	4	no	—
975	C₂²×C₄	—	4	4	no	—
976	C₂²×C₄	—	8	8	no	—
977	C₂²×C₄	—	8	8	no	—
978	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
979	C₂²×C₄	C₂⁵	1	2	yes	—
980	C₂²×C₄	C₂⁵	1	2	yes	—
981	C₂²×C₄	C₂⁵	1	2	yes	—
982	C₂²×C₄	C₂⁵	1	2	yes	—
983	C₂²×C₄	C₂⁵	1	2	yes	—
984	C₂²×C₄	C₂⁵	1	2	yes	—
985	C₂²×C₄	C₂⁵	1	2	yes	—
986	C₂²×C₄	C₂⁵	1	2	yes	—
987	C₂²×C₄	C₂⁵	1	2	yes	—
988	C₂²×C₄	C₂⁵	1	2	yes	—
989	C₂²×C₄	C₂⁵	1	2	yes	—
990	C₂²×C₄	C₂⁵	1	2	yes	—
991	C₂²×C₄	C₂⁵	1	2	yes	—
992	C₂²×C₄	C₂⁵	1	2	yes	—
993	C₂²×C₄	C₂⁵	1	2	yes	—
994	C₂²×C₄	C₂⁵	1	2	yes	—
995	C₂²×C₄	C₂⁵	1	2	yes	—
996	C₂²×C₄	C₂⁵	1	2	yes	—
997	C₂²×C₄	C₂⁵	1	2	yes	—
998	C₂²×C₄	C₂⁵	1	2	yes	—
999	C₂²×C₄	C₂⁵	1	2	yes	—
1000	C₂²×C₄	C₂⁵	1	2	yes	—
1001	C₂²×C₄	C₂⁵	1	2	yes	—
1002	C₂²×C₄	C₂⁵	1	2	yes	—
1003	C₂²×C₄	C₂⁵	1	2	yes	—
1004	C₂²×C₄	C₂⁵	1	2	yes	—
1005	C₂²×C₄	C₂⁵	1	2	yes	—
1006	C₂²×C₄	C₂⁵	1	2	yes	—
1007	C₄⋊C₄	—	2	8	no	—
1008	C₄⋊C₄	—	2	8	no	—
1009	C₄⋊C₄	—	2	8	no	—
1010	C₄⋊C₄	—	2	8	no	—
1011	C₄⋊C₄	—	4	4	no	—
1012	C₄⋊C₄	—	4	4	no	—
1013	C₄⋊C₄	—	4	4	no	—
1014	C₄⋊C₄	—	4	4	no	—
1015	C₄⋊C₄	—	4	4	no	—
1016	C₄⋊C₄	—	4	4	no	—
1017	C₄⋊C₄	—	4	4	no	—
1018	C₄⋊C₄	—	4	4	no	—
1019	C₄⋊C₄	—	4	4	no	—
1020	C₄⋊C₄	—	4	4	no	—
1021	C₄⋊C₄	—	4	4	no	—
1022	C₄⋊C₄	—	4	4	no	—
1023	C₄⋊C₄	—	4	4	no	—
1024	C₄⋊C₄	—	4	4	no	—
1025	C₄⋊C₄	—	4	4	no	—
1026	C₄⋊C₄	—	4	4	no	—
1027	C₄⋊C₄	—	4	4	no	—
1028	C₄⋊C₄	—	4	4	no	—
1029	C₄⋊C₄	—	4	4	no	—
1030	C₄⋊C₄	—	4	4	no	—
1031	C₄⋊C₄	—	4	4	no	—
1032	C₄⋊C₄	—	4	4	no	—
1033	C₄⋊C₄	—	4	4	no	—
1034	C₄⋊C₄	—	4	4	no	—
1035	C₄⋊C₄	—	4	4	no	—
1036	C₄⋊C₄	—	4	4	no	—
1037	C₄⋊C₄	—	4	4	no	—
1038	C₄⋊C₄	—	4	4	no	—
1039	C₄⋊C₄	—	4	4	no	—
1040	C₄⋊C₄	—	4	4	no	—
1041	C₄⋊C₄	—	4	4	no	—
1042	C₄⋊C₄	—	4	4	no	—
1043	C₄⋊C₄	—	4	4	no	—
1044	C₄⋊C₄	—	4	4	no	—
1045	C₄⋊C₄	—	4	4	no	—
1046	C₄⋊C₄	—	4	4	no	—
1047	C₄⋊C₄	—	4	4	no	—
1048	C₄⋊C₄	—	4	4	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	—	2	8	no	—
1054	C₂²⋊C₄	—	2	8	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	4	no	—
1067	C₂²⋊C₄	—	4	4	no	—
1068	C₂²⋊C₄	—	4	4	no	—
1069	C₂²⋊C₄	—	4	4	no	—
1070	C₂²⋊C₄	—	4	4	no	—
1071	C₂²⋊C₄	—	4	4	no	—
1072	C₂²⋊C₄	—	4	4	no	—
1073	C₂²⋊C₄	—	4	4	no	—
1074	C₂²⋊C₄	—	4	4	no	—
1075	C₂²⋊C₄	—	4	4	no	—
1076	C₂²⋊C₄	—	4	4	no	—
1077	C₂²⋊C₄	—	4	4	no	—
1078	C₂²⋊C₄	—	4	4	no	—
1079	C₂²⋊C₄	—	4	4	no	—
1080	C₂²⋊C₄	—	4	4	no	—
1081	C₂²⋊C₄	—	4	4	no	—
1082	C₂²⋊C₄	—	4	4	no	—
1083	C₂²⋊C₄	—	4	4	no	—
1084	C₂²⋊C₄	—	4	4	no	—
1085	C₂²⋊C₄	—	4	4	no	—
1086	C₂²⋊C₄	—	4	4	no	—
1087	C₂²⋊C₄	—	4	4	no	—
1088	C₂²⋊C₄	—	4	4	no	—
1089	C₄²	—	2	8	no	—
1090	C₄²	—	4	4	no	—
1091	C₄²	—	4	4	no	—
1092	C₄²	—	4	4	no	—
1093	C₄²	—	4	4	no	—
1094	C₄²	—	4	4	no	—
1095	C₄²	—	4	4	no	—
1096	C₄²	—	4	4	no	—
1097	C₄²	—	4	4	no	—
1098	C₄²	—	4	4	no	—
1099	C₄²	—	4	4	no	—
1100	C₄²	—	4	4	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	2	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	2	8	no	—
1108	C₂³	—	2	8	no	—
1109	C₂³	—	2	8	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	2	no	—
1112	C₂³	—	2	2	no	—
1113	C₂³	—	2	2	no	—
1114	C₂³	—	2	2	no	—
1115	C₂³	—	2	2	no	—
1116	C₂³	—	2	2	no	—
1117	C₂³	—	2	2	no	—
1118	C₂³	—	2	2	no	—
1119	C₂³	—	2	2	no	—
1120	C₂³	—	2	2	no	—
1121	C₂³	—	2	2	no	—
1122	C₂³	—	2	2	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	4	16	no	—
1125	C₂³	—	4	4	no	—
1126	C₂³	—	4	4	no	—
1127	C₂³	—	4	4	no	—
1128	C₂³	—	4	4	no	—
1129	C₂³	—	4	4	no	—
1130	C₂³	—	4	4	no	—
1131	C₂³	—	4	4	no	—
1132	C₂³	—	4	4	no	—
1133	C₂³	—	4	4	no	—
1134	C₂³	—	4	4	no	—
1135	C₂³	—	4	4	no	—
1136	C₂³	—	4	4	no	—
1137	C₂³	—	4	4	no	—
1138	C₂³	—	4	4	no	—
1139	C₂³	—	4	4	no	—
1140	C₂³	—	4	4	no	—
1141	C₂³	—	4	4	no	—
1142	C₂³	—	4	4	no	—
1143	C₂³	—	8	8	no	—
1144	C₂³	—	8	8	no	—
1145	C₂³	—	8	8	no	—
1146	C₂³	—	8	8	no	—
1147	C₂³	—	8	8	no	—
1148	C₂³	—	8	8	no	—
1149	C₂³	—	8	64	no	—
1150	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1151	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1152	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1153	C₂³	#585	1	2	yes	—
1154	C₂³	#585	1	2	yes	—
1155	C₂³	#585	1	2	yes	—
1156	C₂³	#585	1	2	yes	—
1157	C₂³	#585	1	2	yes	—
1158	C₂³	C₂⁶	1	1	yes	characteristic
1159	Q₈	—	4	16	no	—
1160	Q₈	—	8	8	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	8	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	4	4	no	—
1246	C₂×C₄	—	4	4	no	—
1247	C₂×C₄	—	4	4	no	—
1248	C₂×C₄	—	4	4	no	—
1249	C₂×C₄	—	4	4	no	—
1250	C₂×C₄	—	4	4	no	—
1251	C₂×C₄	—	4	4	no	—
1252	C₂×C₄	—	4	4	no	—
1253	C₂×C₄	—	4	4	no	—
1254	C₂×C₄	—	4	4	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	4	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	4	no	—
1262	C₂×C₄	—	4	4	no	—
1263	C₂×C₄	—	4	4	no	—
1264	C₂×C₄	—	4	4	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	4	4	no	—
1268	C₂×C₄	—	4	4	no	—
1269	C₂×C₄	—	4	4	no	—
1270	C₂×C₄	—	4	4	no	—
1271	C₂×C₄	—	4	4	no	—
1272	C₂×C₄	—	8	8	no	—
1273	C₂×C₄	—	8	8	no	—
1274	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1275	C₂²	—	2	4	no	—
1276	C₂²	—	2	4	no	—
1277	C₂²	—	2	4	no	—
1278	C₂²	—	4	2	no	—
1279	C₂²	—	4	2	no	—
1280	C₂²	—	4	2	no	—
1281	C₂²	—	4	2	no	—
1282	C₂²	—	4	16	no	—
1283	C₂²	—	4	2	no	—
1284	C₂²	—	4	2	no	—
1285	C₂²	—	4	2	no	—
1286	C₂²	—	4	2	no	—
1287	C₂²	—	4	2	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	4	2	no	—
1290	C₂²	—	4	2	no	—
1291	C₂²	—	4	2	no	—
1292	C₂²	—	4	2	no	—
1293	C₂²	—	4	2	no	—
1294	C₂²	—	4	2	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	8	32	no	—
1298	C₂²	—	8	8	no	—
1299	C₂²	—	8	8	no	—
1300	C₂²	#3533	1	4	yes	—
1301	C₂²	#3541	1	4	yes	—
1302	C₂²	#3562	1	4	yes	—
1303	C₂²	#3564	1	4	yes	—
1304	C₂²	#3564	1	4	yes	—
1305	C₂²	#3566	1	4	yes	—
1306	C₂²	#3568	1	4	yes	—
1307	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1308	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1309	C₂²	C₂×#585	1	1	yes	characteristic
1310	C₂²	C₂×#585	1	1	yes	characteristic
1311	C₂²	C₂×#585	1	1	yes	characteristic
1312	C₂²	C₂×#585	1	1	yes	characteristic
1313	C₂²	C₂×#585	1	1	yes	characteristic
1314	C₄	—	2	4	no	—
1315	C₄	—	4	2	no	—
1316	C₄	—	4	2	no	—
1317	C₄	—	4	2	no	—
1318	C₄	—	4	2	no	—
1319	C₄	—	4	2	no	—
1320	C₄	—	4	2	no	—
1321	C₄	—	4	2	no	—
1322	C₄	—	4	2	no	—
1323	C₄	—	4	2	no	—
1324	C₄	—	4	2	no	—
1325	C₄	—	4	2	no	—
1326	C₄	—	4	2	no	—
1327	C₄	—	4	2	no	—
1328	C₄	—	4	2	no	—
1329	C₄	—	4	2	no	—
1330	C₄	—	4	2	no	—
1331	C₄	—	4	2	no	—
1332	C₄	—	4	2	no	—
1333	C₄	—	4	2	no	—
1334	C₄	—	4	2	no	—
1335	C₄	—	4	2	no	—
1336	C₄	—	4	2	no	—
1337	C₄	—	4	2	no	—
1338	C₄	—	4	2	no	—
1339	C₄	—	4	2	no	—
1340	C₄	—	4	2	no	—
1341	C₄	—	4	2	no	—
1342	C₂	—	4	4	no	—
1343	C₂	—	8	2	no	—
1344	C₂	—	8	2	no	—
1345	C₂	#55652	1	8	yes	direct product factor
1346	C₂	C₂×#3541	1	1	yes	characteristic
1347	C₂	C₂×#3533	1	1	yes	characteristic
1348	C₂	C₂×#3564	1	1	yes	characteristic
1349	C₂	C₂×#3564	1	1	yes	characteristic
1350	C₂	C₂×#3568	1	1	yes	characteristic
1351	C₂	C₂×#3562	1	1	yes	characteristic
1352	C₂	C₂×#3566	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. #55652	C₂	direct (N × H)
2. C₂×#2793	C₂	semidirect
3. C₂×#2793	C₂	semidirect
4. C₂×#2793	C₂	semidirect
5. C₂×#2790	C₂	semidirect
6. C₂×#2787	C₂	semidirect
7. C₂×#2777	C₂	semidirect
8. C₂×#2773	C₂	semidirect
9. C₂×#2759	C₂	semidirect
10. C₂×#2754	C₂	semidirect
11. C₂×#2747	C₂	semidirect
16. C₂×#2721	C₂	semidirect
17. C₂×#2720	C₂	semidirect
18. C₂×#2831	C₂	semidirect
19. C₂×#2831	C₂	semidirect
20. C₂×#2836	C₂	semidirect
21. C₂×#2594	C₂	semidirect
22. C₂×#2577	C₂	semidirect
23. C₂×#2589	C₂	semidirect
24. C₂×#2574	C₂	semidirect
25. C₂×#2519	C₂	semidirect
26. C₂×#2421	C₂	semidirect
27. C₂×#2469	C₂	semidirect
30. C₂×#2637	C₂	semidirect
31. C₂×#2650	C₂	semidirect
35. C₂²×#125	C₂²	semidirect
37. C₂²×C₄×Q₈	C₂²	semidirect
39. #2836	C₂²	semidirect
40. #2831	C₂²	semidirect
41. #2831	C₂²	semidirect
42. #2793	C₂²	semidirect
43. #2793	C₂²	semidirect
44. #2793	C₂²	semidirect
45. #2790	C₂²	semidirect
46. #2787	C₂²	semidirect
47. #2777	C₂²	semidirect
48. #2773	C₂²	semidirect
49. #2759	C₂²	semidirect
50. #2754	C₂²	semidirect
51. #2747	C₂²	semidirect
56. #2721	C₂²	semidirect
57. #2720	C₂²	semidirect
58. #2650	C₂²	semidirect
59. #2637	C₂²	semidirect
61. #2594	C₂²	semidirect
62. #2589	C₂²	semidirect
63. #2577	C₂²	semidirect
64. #2574	C₂²	semidirect
65. #2519	C₂²	semidirect
68. #2469	C₂²	semidirect
69. #2421	C₂²	semidirect
70. C₂×#401	C₂²	semidirect
71. C₂×#400	C₂²	semidirect
72. C₂×#400	C₂²	semidirect
73. C₂×#400	C₂²	semidirect
74. C₂×#400	C₂²	semidirect
75. C₂×#400	C₂²	semidirect
76. C₂×#400	C₂²	semidirect
77. C₂×#400	C₂²	semidirect
78. C₂×#400	C₂²	semidirect
79. C₂×#400	C₂²	semidirect
85. C₂×#398	C₂²	semidirect
86. C₂×#398	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
92. C₂×#398	C₂²	semidirect
93. C₂×#398	C₂²	semidirect
94. C₂×#398	C₂²	semidirect
95. C₂×#398	C₂²	semidirect
126. C₂×#395	C₂²	semidirect
127. C₂×#395	C₂²	semidirect
128. C₂×#395	C₂²	semidirect
134. C₂×#391	C₂²	semidirect
135. C₂×#391	C₂²	semidirect
136. C₂×#391	C₂²	semidirect
137. C₂×#391	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
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
187. C₂×#387	C₂²	semidirect
188. C₂×#387	C₂²	semidirect
189. C₂×#387	C₂²	semidirect
190. C₂×#387	C₂²	semidirect
191. C₂×#387	C₂²	semidirect
192. C₂×#387	C₂²	semidirect
193. C₂×#387	C₂²	semidirect
200. C₂×#384	C₂²	semidirect
201. C₂×#384	C₂²	semidirect
202. C₂×#383	C₂²	semidirect
203. C₂×#382	C₂²	semidirect
204. C₂×#382	C₂²	semidirect
214. C₂×C₄×C₄⋊C₄	C₂²	semidirect
215. C₂×C₄×C₄⋊C₄	C₂²	semidirect
216. C₂×C₄×C₄⋊C₄	C₂²	semidirect
229. C₂×#125	C₂³	semidirect
233. C₂×C₄×Q₈	C₂³	semidirect
330. #401	C₂³	semidirect
331. #400	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #400	C₂³	semidirect
335. #400	C₂³	semidirect
336. #400	C₂³	semidirect
337. #400	C₂³	semidirect
338. #400	C₂³	semidirect
339. #400	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
347. #398	C₂³	semidirect
348. #398	C₂³	semidirect
349. #398	C₂³	semidirect
350. #398	C₂³	semidirect
351. #398	C₂³	semidirect
352. #398	C₂³	semidirect
353. #398	C₂³	semidirect
354. #398	C₂³	semidirect
355. #398	C₂³	semidirect
386. #395	C₂³	semidirect
387. #395	C₂³	semidirect
388. #395	C₂³	semidirect
394. #391	C₂³	semidirect
395. #391	C₂³	semidirect
396. #391	C₂³	semidirect
397. #391	C₂³	semidirect
398. #389	C₂³	semidirect
399. #389	C₂³	semidirect
400. #389	C₂³	semidirect
401. #389	C₂³	semidirect
402. #389	C₂³	semidirect
433. #387	C₂³	semidirect
434. #387	C₂³	semidirect
435. #387	C₂³	semidirect
436. #387	C₂³	semidirect
437. #387	C₂³	semidirect
438. #387	C₂³	semidirect
439. #387	C₂³	semidirect
440. #387	C₂³	semidirect
441. #387	C₂³	semidirect
442. #387	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
460. #384	C₂³	semidirect
461. #384	C₂³	semidirect
462. #383	C₂³	semidirect
463. #382	C₂³	semidirect
464. #382	C₂³	semidirect
474. C₄×C₄⋊C₄	C₂³	semidirect
475. C₄×C₄⋊C₄	C₂³	semidirect
476. C₄×C₄⋊C₄	C₂³	semidirect
1345. C₂	#55652	direct (N × H)

Maximal subgroups

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

subgroup	index
#55652	2
C₂×#2793	2
C₂×#2790	2
C₂×#2787	2
C₂×#2777	2
C₂×#2773	2
C₂×#2759	2
C₂×#2754	2
C₂×#2747	2
C₂×#2736	2
C₂×#2735	2
C₂×#2721	2
C₂×#2720	2
C₂×#2831	2
C₂×#2836	2
C₂×#2594	2
C₂×#2577	2
C₂×#2589	2
C₂×#2574	2
C₂×#2519	2
C₂×#2421	2
C₂×#2469	2
C₂×#2480	2
C₂×#2637	2
C₂×#2650	2
C₂×#2626	2

Subgroups — C2×#55652 #8101409

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#55652 #8101409