Subgroups — C₂×#56424 #8098855

Order 512.

5350 conjugacy classes of subgroups.

The subgroup lattice has 1434 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#56424	C₂	1	32	yes	maximal, direct product factor
2	C₂×#2807	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#2807	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2798	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2786	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#2781	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2779	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2777	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2772	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#2770	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#2735	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2732	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#2722	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#2707	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2698	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2690	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#2685	C₂	1	1	yes	maximal, characteristic
18	C₂×#2836	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2837	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#2827	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2578	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2482	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2522	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#2475	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2415	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#2466	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#2480	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#2418	C₂	1	1	yes	maximal, characteristic
29	C₂×#2437	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#2651	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#2663	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#2622	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×#123	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂²×#120	C₂²	1	1	yes	characteristic
41	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
42	C₂²×#117	C₂²	1	1	yes	characteristic
43	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	#2837	C₂²	1	16	yes	complemented
46	#2836	C₂²	1	16	yes	complemented
47	#2827	C₂²	1	16	yes	complemented
48	#2807	C₂²	1	16	yes	complemented
49	#2807	C₂²	1	16	yes	complemented
50	#2798	C₂²	1	16	yes	complemented
51	#2786	C₂²	1	16	yes	complemented
52	#2781	C₂²	1	16	yes	complemented
53	#2779	C₂²	1	16	yes	complemented
54	#2777	C₂²	1	16	yes	complemented
55	#2772	C₂²	1	16	yes	complemented
56	#2770	C₂²	1	16	yes	complemented
57	#2735	C₂²	1	16	yes	complemented
58	#2732	C₂²	1	16	yes	complemented
59	#2722	C₂²	1	16	yes	complemented
60	#2707	C₂²	1	16	yes	complemented
61	#2698	C₂²	1	16	yes	complemented
62	#2690	C₂²	1	16	yes	complemented
63	#2685	C₂²	1	16	yes	—
64	#2663	C₂²	1	16	yes	complemented
65	#2651	C₂²	1	16	yes	complemented
66	#2622	C₂²	1	16	yes	—
67	#2578	C₂²	1	16	yes	complemented
68	#2522	C₂²	1	16	yes	complemented
69	#2482	C₂²	1	16	yes	complemented
70	#2480	C₂²	1	16	yes	complemented
71	#2475	C₂²	1	16	yes	complemented
72	#2466	C₂²	1	16	yes	complemented
73	#2437	C₂²	1	16	yes	complemented
74	#2418	C₂²	1	16	yes	—
75	#2415	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×#400	C₂²	1	1	yes	characteristic, complemented
84	C₂×#399	C₂²	1	1	yes	characteristic
85	C₂×#399	C₂²	1	1	yes	characteristic
86	C₂×#399	C₂²	1	1	yes	characteristic
87	C₂×#399	C₂²	1	1	yes	characteristic
88	C₂×#399	C₂²	1	1	yes	characteristic
89	C₂×#399	C₂²	1	1	yes	characteristic
90	C₂×#399	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×#398	C₂²	1	1	yes	characteristic, complemented
97	C₂×#398	C₂²	1	1	yes	characteristic, complemented
98	C₂×#398	C₂²	1	1	yes	characteristic, complemented
99	C₂×#398	C₂²	1	1	yes	characteristic, complemented
100	C₂×#398	C₂²	1	1	yes	characteristic, complemented
101	C₂×#398	C₂²	1	1	yes	characteristic, complemented
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×#397	C₂²	1	1	yes	characteristic
115	C₂×#397	C₂²	1	1	yes	characteristic, complemented
116	C₂×#397	C₂²	1	1	yes	characteristic, complemented
117	C₂×#397	C₂²	1	1	yes	characteristic, complemented
118	C₂×#397	C₂²	1	1	yes	characteristic, complemented
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, complemented
126	C₂×#396	C₂²	1	1	yes	characteristic, complemented
127	C₂×#396	C₂²	1	1	yes	characteristic, complemented
128	C₂×#395	C₂²	1	1	yes	characteristic, complemented
129	C₂×#394	C₂²	1	1	yes	characteristic
130	C₂×#394	C₂²	1	1	yes	characteristic
131	C₂×#394	C₂²	1	1	yes	characteristic
132	C₂×#394	C₂²	1	1	yes	characteristic
133	C₂×#394	C₂²	1	1	yes	characteristic
134	C₂×#394	C₂²	1	1	yes	characteristic
135	C₂×#394	C₂²	1	1	yes	characteristic
136	C₂×#394	C₂²	1	1	yes	characteristic
137	C₂×#394	C₂²	1	1	yes	characteristic
138	C₂×#394	C₂²	1	1	yes	characteristic
139	C₂×#393	C₂²	1	1	yes	characteristic
140	C₂×#391	C₂²	1	1	yes	characteristic, complemented
141	C₂×#391	C₂²	1	1	yes	characteristic, complemented
142	C₂×#390	C₂²	1	1	yes	characteristic
143	C₂×#390	C₂²	1	1	yes	characteristic
144	C₂×#389	C₂²	1	1	yes	characteristic, complemented
145	C₂×#389	C₂²	1	1	yes	characteristic, complemented
146	C₂×#389	C₂²	1	1	yes	characteristic, complemented
147	C₂×#389	C₂²	1	1	yes	characteristic, complemented
148	C₂×#389	C₂²	1	1	yes	characteristic, complemented
149	C₂×#389	C₂²	1	1	yes	characteristic, complemented
150	C₂×#389	C₂²	1	1	yes	characteristic, complemented
151	C₂×#389	C₂²	1	1	yes	characteristic, complemented
152	C₂×#389	C₂²	1	1	yes	characteristic, complemented
153	C₂×#389	C₂²	1	1	yes	characteristic, complemented
154	C₂×#389	C₂²	1	1	yes	characteristic, complemented
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×#388	C₂²	1	1	yes	characteristic, complemented
174	C₂×#388	C₂²	1	1	yes	characteristic, complemented
175	C₂×#388	C₂²	1	1	yes	characteristic, complemented
176	C₂×#388	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×#386	C₂²	1	1	yes	characteristic
189	C₂×#386	C₂²	1	1	yes	characteristic
190	C₂×#386	C₂²	1	1	yes	characteristic
191	C₂×#386	C₂²	1	1	yes	characteristic
192	C₂×#385	C₂²	1	1	yes	characteristic
193	C₂×#385	C₂²	1	1	yes	characteristic
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×#385	C₂²	1	1	yes	characteristic
201	C₂×#385	C₂²	1	1	yes	characteristic
202	C₂×#385	C₂²	1	1	yes	characteristic
203	C₂×#385	C₂²	1	1	yes	characteristic, complemented
204	C₂×#383	C₂²	1	1	yes	characteristic, complemented
205	C₂×#382	C₂²	1	1	yes	characteristic, complemented
206	C₂×#381	C₂²	1	1	yes	characteristic
207	C₂×#380	C₂²	1	1	yes	characteristic
208	C₂×#380	C₂²	1	1	yes	characteristic
209	C₂×#380	C₂²	1	1	yes	characteristic
210	C₂×#380	C₂²	1	1	yes	characteristic
211	C₂×#380	C₂²	1	1	yes	characteristic, complemented
212	C₂×#379	C₂²	1	1	yes	characteristic
213	C₂×#379	C₂²	1	1	yes	characteristic
214	C₂×#379	C₂²	1	1	yes	characteristic
215	C₂×#379	C₂²	1	1	yes	characteristic
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, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×Q₈	C₂³	1	1	yes	characteristic
221	C₂³×D₄	C₂³	1	1	yes	characteristic
222	C₂³×D₄	C₂³	1	1	yes	characteristic
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₄	C₂³	1	1	yes	characteristic
228	C₂⁴×C₄	C₂³	1	1	yes	characteristic
229	C₂×#126	—	4	4	no	—
230	C₂×#126	—	4	4	no	—
231	C₂×#126	C₂³	1	8	yes	—
232	C₂×#126	C₂³	1	8	yes	—
233	C₂×#125	—	4	4	no	—
234	C₂×#125	C₂³	1	8	yes	complemented
235	C₂×#123	—	4	4	no	—
236	C₂×#123	C₂³	1	8	yes	—
237	C₂×C₂²⋊Q₈	—	4	4	no	—
238	C₂×C₂²⋊Q₈	—	4	4	no	—
239	C₂×C₂²⋊Q₈	—	4	4	no	—
240	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
241	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
242	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
243	C₂×#120	—	4	4	no	—
244	C₂×#120	C₂³	1	8	yes	—
245	C₂×C₄×D₄	—	4	4	no	—
246	C₂×C₄×D₄	C₂³	1	8	yes	—
247	C₂×#117	—	4	4	no	—
248	C₂×#117	C₂³	1	8	yes	—
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×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×C₂²⋊C₄	—	4	4	no	—
292	C₂²×C₂²⋊C₄	—	4	4	no	—
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	8	yes	—
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	8	yes	—
341	C₂²×C₄²	C₂³	1	1	yes	characteristic
342	C₂²×C₄²	C₂³	1	1	yes	characteristic
343	C₂²×C₄²	C₂³	1	1	yes	characteristic
344	C₂²×C₄²	C₂³	1	1	yes	characteristic
345	C₂²×C₄²	C₂³	1	1	yes	characteristic
346	C₂²×C₄²	C₂³	1	1	yes	characteristic
347	C₂²×C₄²	C₂³	1	1	yes	characteristic
348	C₂²×C₄²	C₂³	1	1	yes	characteristic
349	C₂²×C₄²	C₂³	1	1	yes	characteristic
350	#400	C₂³	1	8	yes	complemented
351	#400	C₂³	1	8	yes	complemented
352	#400	C₂³	1	8	yes	complemented
353	#400	C₂³	1	8	yes	complemented
354	#400	C₂³	1	8	yes	complemented
355	#400	C₂³	1	8	yes	complemented
356	#400	C₂³	1	8	yes	complemented
357	#400	C₂³	1	8	yes	complemented
358	#399	C₂³	1	8	yes	—
359	#399	C₂³	1	8	yes	—
360	#399	C₂³	1	8	yes	—
361	#399	C₂³	1	8	yes	—
362	#399	C₂³	1	8	yes	—
363	#399	C₂³	1	8	yes	—
364	#399	C₂³	1	8	yes	complemented
365	#398	C₂³	1	8	yes	complemented
366	#398	C₂³	1	8	yes	complemented
367	#398	C₂³	1	8	yes	complemented
368	#398	C₂³	1	8	yes	complemented
369	#398	C₂³	1	8	yes	complemented
370	#398	C₂³	1	8	yes	complemented
371	#398	C₂³	1	8	yes	complemented
372	#398	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	#397	C₂³	1	8	yes	—
377	#397	C₂³	1	8	yes	—
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	—
387	#397	C₂³	1	8	yes	—
388	#397	C₂³	1	8	yes	—
389	#397	C₂³	1	8	yes	complemented
390	#397	C₂³	1	8	yes	complemented
391	#397	C₂³	1	8	yes	complemented
392	#397	C₂³	1	8	yes	complemented
393	#396	C₂³	1	8	yes	—
394	#396	C₂³	1	8	yes	—
395	#396	C₂³	1	8	yes	—
396	#396	C₂³	1	8	yes	—
397	#396	C₂³	1	8	yes	—
398	#396	C₂³	1	8	yes	—
399	#396	C₂³	1	8	yes	complemented
400	#396	C₂³	1	8	yes	complemented
401	#396	C₂³	1	8	yes	complemented
402	#395	C₂³	1	8	yes	complemented
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	#394	C₂³	1	8	yes	—
409	#394	C₂³	1	8	yes	—
410	#394	C₂³	1	8	yes	—
411	#394	C₂³	1	8	yes	—
412	#394	C₂³	1	8	yes	—
413	#393	C₂³	1	8	yes	—
414	#391	C₂³	1	8	yes	complemented
415	#391	C₂³	1	8	yes	complemented
416	#390	C₂³	1	8	yes	—
417	#390	C₂³	1	8	yes	—
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	#389	C₂³	1	8	yes	complemented
428	#389	C₂³	1	8	yes	complemented
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	complemented
448	#388	C₂³	1	8	yes	complemented
449	#388	C₂³	1	8	yes	complemented
450	#388	C₂³	1	8	yes	complemented
451	#387	C₂³	1	8	yes	complemented
452	#387	C₂³	1	8	yes	complemented
453	#387	C₂³	1	8	yes	complemented
454	#387	C₂³	1	8	yes	complemented
455	#387	C₂³	1	8	yes	complemented
456	#387	C₂³	1	8	yes	complemented
457	#387	C₂³	1	8	yes	complemented
458	#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	#385	C₂³	1	8	yes	—
467	#385	C₂³	1	8	yes	—
468	#385	C₂³	1	8	yes	—
469	#385	C₂³	1	8	yes	—
470	#385	C₂³	1	8	yes	—
471	#385	C₂³	1	8	yes	—
472	#385	C₂³	1	8	yes	—
473	#385	C₂³	1	8	yes	—
474	#385	C₂³	1	8	yes	—
475	#385	C₂³	1	8	yes	—
476	#385	C₂³	1	8	yes	—
477	#385	C₂³	1	8	yes	complemented
478	#383	C₂³	1	8	yes	complemented
479	#382	C₂³	1	8	yes	complemented
480	#381	C₂³	1	8	yes	—
481	#380	C₂³	1	8	yes	—
482	#380	C₂³	1	8	yes	—
483	#380	C₂³	1	8	yes	—
484	#380	C₂³	1	8	yes	—
485	#380	C₂³	1	8	yes	complemented
486	#379	C₂³	1	8	yes	—
487	#379	C₂³	1	8	yes	—
488	#379	C₂³	1	8	yes	—
489	#379	C₂³	1	8	yes	—
490	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
491	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
492	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
493	C₂×#95	C₂³	1	1	yes	characteristic
494	C₂×#95	C₂³	1	1	yes	characteristic
495	C₂×#95	C₂³	1	1	yes	characteristic
496	C₂×#95	C₂³	1	1	yes	characteristic
497	C₂×#95	C₂³	1	1	yes	characteristic
498	C₂×#95	C₂³	1	1	yes	characteristic
499	C₂×#95	C₂³	1	1	yes	characteristic
500	C₂×#95	C₂³	1	1	yes	characteristic
501	C₂×#95	C₂³	1	1	yes	characteristic
502	C₂×#95	C₂³	1	1	yes	characteristic
503	C₂×#95	C₂³	1	1	yes	characteristic
504	C₂×#95	C₂³	1	1	yes	characteristic
505	C₂×#95	C₂³	1	1	yes	characteristic
506	C₂×#95	C₂³	1	1	yes	characteristic
507	C₂×#95	C₂³	1	1	yes	characteristic
508	C₂×#95	C₂³	1	1	yes	characteristic
509	C₂×#95	C₂³	1	1	yes	characteristic
510	C₂×#95	C₂³	1	1	yes	characteristic
511	C₂×#95	C₂³	1	1	yes	characteristic
512	C₂×#95	C₂³	1	1	yes	characteristic
513	C₂×#95	C₂³	1	1	yes	characteristic
514	C₂×#95	C₂³	1	1	yes	characteristic
515	C₂×#95	C₂³	1	1	yes	characteristic
516	C₂×#95	C₂³	1	1	yes	characteristic
517	C₂×#95	C₂³	1	1	yes	characteristic
518	C₂×#95	C₂³	1	1	yes	characteristic
519	C₂×#95	C₂³	1	1	yes	characteristic
520	C₂×#95	C₂³	1	1	yes	characteristic
521	C₂×#95	C₂³	1	1	yes	characteristic
522	C₂×#95	C₂³	1	1	yes	characteristic
523	C₂×#95	C₂³	1	1	yes	characteristic
524	C₂×#95	C₂³	1	1	yes	characteristic
525	C₂×#95	C₂³	1	1	yes	characteristic
526	C₂×#95	C₂³	1	1	yes	characteristic
527	C₂×#95	C₂³	1	1	yes	characteristic
528	C₂×#95	C₂³	1	1	yes	characteristic
529	C₂×#95	C₂³	1	1	yes	characteristic
530	C₂×#95	C₂³	1	1	yes	characteristic
531	C₂×#95	C₂³	1	1	yes	characteristic
532	C₂×#95	C₂³	1	1	yes	characteristic
533	C₂×#95	C₂³	1	1	yes	characteristic
534	C₂×#95	C₂³	1	1	yes	characteristic
535	C₂×#95	C₂³	1	1	yes	characteristic
536	C₂×#95	C₂³	1	1	yes	characteristic
537	C₂×#95	C₂³	1	1	yes	characteristic
538	C₂×#95	C₂³	1	1	yes	characteristic
539	C₂×#95	C₂³	1	1	yes	characteristic
540	C₂×#95	C₂³	1	1	yes	characteristic
541	C₂⁵	—	2	4	no	—
542	C₂⁵	—	2	4	no	—
543	C₂⁵	—	4	2	no	—
544	C₂⁵	—	4	2	no	—
545	C₂⁵	—	4	2	no	—
546	C₂⁵	—	4	2	no	—
547	C₂⁵	—	4	2	no	—
548	C₂⁵	C₂⁴	1	1	yes	characteristic
549	C₂⁵	C₂⁴	1	1	yes	characteristic
550	C₂⁵	C₂⁴	1	1	yes	characteristic
551	C₂⁵	C₂⁴	1	1	yes	characteristic
552	C₂⁵	C₂⁴	1	4	yes	—
553	C₂²×Q₈	—	2	4	no	—
554	C₂²×Q₈	—	4	2	no	—
555	C₂²×Q₈	—	4	2	no	—
556	C₂²×Q₈	C₂⁴	1	4	yes	—
557	C₂²×D₄	—	2	4	no	—
558	C₂²×D₄	—	2	4	no	—
559	C₂²×D₄	—	4	2	no	—
560	C₂²×D₄	—	4	2	no	—
561	C₂²×D₄	—	4	2	no	—
562	C₂²×D₄	—	4	2	no	—
563	C₂²×D₄	—	4	2	no	—
564	C₂²×D₄	—	4	2	no	—
565	C₂²×D₄	—	4	2	no	—
566	C₂²×D₄	C₂⁴	1	4	yes	—
567	C₂²×D₄	C₂⁴	1	4	yes	—
568	C₂²×D₄	C₂⁴	1	4	yes	—
569	C₂³×C₄	—	2	4	no	—
570	C₂³×C₄	—	2	4	no	—
571	C₂³×C₄	—	2	4	no	—
572	C₂³×C₄	—	4	2	no	—
573	C₂³×C₄	—	4	2	no	—
574	C₂³×C₄	—	4	2	no	—
575	C₂³×C₄	—	4	2	no	—
576	C₂³×C₄	—	4	2	no	—
577	C₂³×C₄	—	4	2	no	—
578	C₂³×C₄	—	4	2	no	—
579	C₂³×C₄	—	4	2	no	—
580	C₂³×C₄	—	4	2	no	—
581	C₂³×C₄	—	4	2	no	—
582	C₂³×C₄	—	4	2	no	—
583	C₂³×C₄	—	4	2	no	—
584	C₂³×C₄	C₂⁴	1	1	yes	characteristic
585	C₂³×C₄	C₂⁴	1	1	yes	characteristic
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₂³×C₄	C₂⁴	1	1	yes	characteristic
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄	C₂⁴	1	1	yes	characteristic
593	C₂³×C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₄	C₂⁴	1	1	yes	characteristic
595	C₂³×C₄	C₂⁴	1	1	yes	characteristic
596	C₂³×C₄	C₂⁴	1	1	yes	characteristic
597	C₂³×C₄	C₂⁴	1	1	yes	characteristic
598	C₂³×C₄	C₂⁴	1	1	yes	characteristic
599	C₂³×C₄	C₂⁴	1	1	yes	characteristic
600	C₂³×C₄	C₂⁴	1	1	yes	characteristic
601	C₂³×C₄	C₂⁴	1	1	yes	characteristic
602	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
611	C₂³×C₄	C₂⁴	1	1	yes	characteristic
612	C₂³×C₄	C₂⁴	1	4	yes	—
613	C₂³×C₄	C₂⁴	1	4	yes	—
614	C₂³×C₄	C₂⁴	1	4	yes	—
615	C₂³×C₄	C₂⁴	1	4	yes	—
616	#126	—	4	16	no	—
617	#126	—	4	16	no	—
618	#125	—	4	16	no	—
619	#123	—	4	16	no	—
620	C₂²⋊Q₈	—	4	16	no	—
621	C₂²⋊Q₈	—	4	16	no	—
622	C₂²⋊Q₈	—	4	16	no	—
623	#120	—	4	16	no	—
624	C₄×D₄	—	4	16	no	—
625	#117	—	4	16	no	—
626	C₂×C₄⋊C₄	—	2	4	no	—
627	C₂×C₄⋊C₄	—	2	4	no	—
628	C₂×C₄⋊C₄	—	2	4	no	—
629	C₂×C₄⋊C₄	—	2	4	no	—
630	C₂×C₄⋊C₄	—	4	2	no	—
631	C₂×C₄⋊C₄	—	4	2	no	—
632	C₂×C₄⋊C₄	—	4	2	no	—
633	C₂×C₄⋊C₄	—	4	2	no	—
634	C₂×C₄⋊C₄	—	4	2	no	—
635	C₂×C₄⋊C₄	—	4	2	no	—
636	C₂×C₄⋊C₄	—	4	2	no	—
637	C₂×C₄⋊C₄	—	4	2	no	—
638	C₂×C₄⋊C₄	—	4	2	no	—
639	C₂×C₄⋊C₄	—	4	2	no	—
640	C₂×C₄⋊C₄	—	4	2	no	—
641	C₂×C₄⋊C₄	—	4	2	no	—
642	C₂×C₄⋊C₄	—	4	2	no	—
643	C₂×C₄⋊C₄	—	4	2	no	—
644	C₂×C₄⋊C₄	—	4	2	no	—
645	C₂×C₄⋊C₄	—	4	2	no	—
646	C₂×C₄⋊C₄	—	4	2	no	—
647	C₂×C₄⋊C₄	—	4	2	no	—
648	C₂×C₄⋊C₄	—	4	2	no	—
649	C₂×C₄⋊C₄	—	4	2	no	—
650	C₂×C₄⋊C₄	—	4	2	no	—
651	C₂×C₄⋊C₄	—	4	2	no	—
652	C₂×C₄⋊C₄	—	4	2	no	—
653	C₂×C₄⋊C₄	—	4	2	no	—
654	C₂×C₄⋊C₄	—	4	2	no	—
655	C₂×C₄⋊C₄	—	4	2	no	—
656	C₂×C₄⋊C₄	—	4	2	no	—
657	C₂×C₄⋊C₄	—	4	2	no	—
658	C₂×C₄⋊C₄	—	4	2	no	—
659	C₂×C₄⋊C₄	—	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	C₂⁴	1	4	yes	—
669	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
675	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
686	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
687	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
690	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
691	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
692	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
693	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
694	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
697	C₂×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×C₂²⋊C₄	—	2	4	no	—
711	C₂×C₂²⋊C₄	—	2	4	no	—
712	C₂×C₂²⋊C₄	—	2	4	no	—
713	C₂×C₂²⋊C₄	—	2	4	no	—
714	C₂×C₂²⋊C₄	—	2	4	no	—
715	C₂×C₂²⋊C₄	—	2	4	no	—
716	C₂×C₂²⋊C₄	—	2	4	no	—
717	C₂×C₂²⋊C₄	—	2	4	no	—
718	C₂×C₂²⋊C₄	—	2	4	no	—
719	C₂×C₂²⋊C₄	—	2	4	no	—
720	C₂×C₂²⋊C₄	—	2	4	no	—
721	C₂×C₂²⋊C₄	—	4	16	no	—
722	C₂×C₂²⋊C₄	—	4	16	no	—
723	C₂×C₂²⋊C₄	—	4	2	no	—
724	C₂×C₂²⋊C₄	—	4	2	no	—
725	C₂×C₂²⋊C₄	—	4	2	no	—
726	C₂×C₂²⋊C₄	—	4	2	no	—
727	C₂×C₂²⋊C₄	—	4	2	no	—
728	C₂×C₂²⋊C₄	—	4	2	no	—
729	C₂×C₂²⋊C₄	—	4	2	no	—
730	C₂×C₂²⋊C₄	—	4	2	no	—
731	C₂×C₂²⋊C₄	—	4	2	no	—
732	C₂×C₂²⋊C₄	—	4	2	no	—
733	C₂×C₂²⋊C₄	—	4	2	no	—
734	C₂×C₂²⋊C₄	—	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	C₂⁴	1	4	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₂×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×C₄²	—	4	2	no	—
805	C₂×C₄²	—	4	2	no	—
806	C₂×C₄²	—	4	2	no	—
807	C₂×C₄²	—	4	2	no	—
808	C₂×C₄²	—	4	2	no	—
809	C₂×C₄²	—	4	2	no	—
810	C₂×C₄²	—	4	2	no	—
811	C₂×C₄²	—	4	2	no	—
812	C₂×C₄²	—	4	2	no	—
813	C₂×C₄²	C₂⁴	1	4	yes	—
814	C₂×C₄²	C₂⁴	1	4	yes	—
815	C₂×C₄²	C₂⁴	1	4	yes	—
816	C₂×C₄²	C₂⁴	1	4	yes	—
817	C₂×C₄²	C₂⁴	1	4	yes	—
818	C₂×C₄²	C₂⁴	1	4	yes	—
819	C₂×C₄²	C₂⁴	1	4	yes	—
820	C₂×C₄²	C₂⁴	1	4	yes	—
821	C₂×C₄²	C₂⁴	1	4	yes	—
822	#95	C₂⁴	1	4	yes	—
823	#95	C₂⁴	1	4	yes	—
824	#95	C₂⁴	1	4	yes	—
825	#95	C₂⁴	1	4	yes	—
826	#95	C₂⁴	1	4	yes	—
827	#95	C₂⁴	1	4	yes	—
828	#95	C₂⁴	1	4	yes	—
829	#95	C₂⁴	1	4	yes	—
830	#95	C₂⁴	1	4	yes	—
831	#95	C₂⁴	1	4	yes	—
832	#95	C₂⁴	1	4	yes	—
833	#95	C₂⁴	1	4	yes	—
834	#95	C₂⁴	1	4	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	4	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	4	yes	—
839	#95	C₂⁴	1	4	yes	—
840	#95	C₂⁴	1	4	yes	—
841	#95	C₂⁴	1	4	yes	—
842	#95	C₂⁴	1	4	yes	—
843	#95	C₂⁴	1	4	yes	—
844	#95	C₂⁴	1	4	yes	—
845	#95	C₂⁴	1	4	yes	—
846	#95	C₂⁴	1	4	yes	—
847	#95	C₂⁴	1	4	yes	—
848	#95	C₂⁴	1	4	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	4	yes	—
852	#95	C₂⁴	1	4	yes	—
853	#95	C₂⁴	1	4	yes	—
854	#95	C₂⁴	1	4	yes	—
855	#95	C₂⁴	1	4	yes	—
856	#95	C₂⁴	1	4	yes	—
857	#95	C₂⁴	1	4	yes	—
858	#95	C₂⁴	1	4	yes	—
859	#95	C₂⁴	1	4	yes	—
860	#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	C₂⁴	—	2	2	no	—
871	C₂⁴	—	2	2	no	—
872	C₂⁴	—	2	2	no	—
873	C₂⁴	—	2	2	no	—
874	C₂⁴	—	2	2	no	—
875	C₂⁴	—	2	2	no	—
876	C₂⁴	—	2	2	no	—
877	C₂⁴	—	2	2	no	—
878	C₂⁴	—	2	2	no	—
879	C₂⁴	—	2	2	no	—
880	C₂⁴	—	2	2	no	—
881	C₂⁴	—	2	2	no	—
882	C₂⁴	—	2	2	no	—
883	C₂⁴	—	2	2	no	—
884	C₂⁴	—	2	2	no	—
885	C₂⁴	—	2	2	no	—
886	C₂⁴	—	2	2	no	—
887	C₂⁴	—	2	2	no	—
888	C₂⁴	—	2	2	no	—
889	C₂⁴	—	2	2	no	—
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	8	no	—
897	C₂⁴	—	2	8	no	—
898	C₂⁴	—	4	4	no	—
899	C₂⁴	—	4	4	no	—
900	C₂⁴	—	4	4	no	—
901	C₂⁴	—	4	4	no	—
902	C₂⁴	—	4	4	no	—
903	C₂⁴	—	4	16	no	—
904	C₂⁴	—	4	16	no	—
905	C₂⁴	—	8	8	no	—
906	C₂⁴	—	8	8	no	—
907	C₂⁴	—	8	8	no	—
908	C₂⁴	—	8	8	no	—
909	C₂⁴	—	8	8	no	—
910	C₂⁴	H(5,𝔽₂)	1	4	yes	—
911	C₂⁴	2₋¹⁺⁴	1	4	yes	—
912	C₂⁴	C₂⁵	1	2	yes	—
913	C₂⁴	C₂⁵	1	2	yes	—
914	C₂⁴	C₂⁵	1	2	yes	—
915	C₂⁴	C₂⁵	1	2	yes	—
916	C₂⁴	C₂⁵	1	1	yes	characteristic
917	C₂×Q₈	—	2	8	no	—
918	C₂×Q₈	—	4	4	no	—
919	C₂×Q₈	—	4	4	no	—
920	C₂×Q₈	—	8	8	no	—
921	C₂×D₄	—	2	8	no	—
922	C₂×D₄	—	2	8	no	—
923	C₂×D₄	—	4	4	no	—
924	C₂×D₄	—	4	4	no	—
925	C₂×D₄	—	4	4	no	—
926	C₂×D₄	—	4	4	no	—
927	C₂×D₄	—	4	4	no	—
928	C₂×D₄	—	4	4	no	—
929	C₂×D₄	—	4	4	no	—
930	C₂×D₄	—	4	16	no	—
931	C₂×D₄	—	8	8	no	—
932	C₂×D₄	—	8	8	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	8	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	2	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	2	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	2	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	2	no	—
982	C₂²×C₄	—	2	2	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	2	2	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	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	8	no	—
1015	C₂²×C₄	—	2	8	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	4	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	4	no	—
1021	C₂²×C₄	—	4	4	no	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	4	4	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	—	4	16	no	—
1029	C₂²×C₄	—	8	8	no	—
1030	C₂²×C₄	—	8	8	no	—
1031	C₂²×C₄	—	8	8	no	—
1032	C₂²×C₄	—	8	8	no	—
1033	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1034	C₂²×C₄	C₂⁵	1	2	yes	—
1035	C₂²×C₄	C₂⁵	1	2	yes	—
1036	C₂²×C₄	C₂⁵	1	2	yes	—
1037	C₂²×C₄	C₂⁵	1	2	yes	—
1038	C₂²×C₄	C₂⁵	1	2	yes	—
1039	C₂²×C₄	C₂⁵	1	2	yes	—
1040	C₂²×C₄	C₂⁵	1	2	yes	—
1041	C₂²×C₄	C₂⁵	1	2	yes	—
1042	C₂²×C₄	C₂⁵	1	2	yes	—
1043	C₂²×C₄	C₂⁵	1	2	yes	—
1044	C₂²×C₄	C₂⁵	1	2	yes	—
1045	C₂²×C₄	C₂⁵	1	2	yes	—
1046	C₂²×C₄	C₂⁵	1	2	yes	—
1047	C₂²×C₄	C₂⁵	1	2	yes	—
1048	C₂²×C₄	C₂⁵	1	2	yes	—
1049	C₂²×C₄	C₂⁵	1	2	yes	—
1050	C₂²×C₄	C₂⁵	1	2	yes	—
1051	C₂²×C₄	C₂⁵	1	2	yes	—
1052	C₂²×C₄	C₂⁵	1	2	yes	—
1053	C₂²×C₄	C₂⁵	1	2	yes	—
1054	C₂²×C₄	C₂⁵	1	2	yes	—
1055	C₂²×C₄	C₂⁵	1	2	yes	—
1056	C₂²×C₄	C₂⁵	1	2	yes	—
1057	C₂²×C₄	C₂⁵	1	2	yes	—
1058	C₂²×C₄	C₂⁵	1	2	yes	—
1059	C₂²×C₄	C₂⁵	1	2	yes	—
1060	C₂²×C₄	C₂⁵	1	2	yes	—
1061	C₄⋊C₄	—	2	8	no	—
1062	C₄⋊C₄	—	2	8	no	—
1063	C₄⋊C₄	—	2	8	no	—
1064	C₄⋊C₄	—	2	8	no	—
1065	C₄⋊C₄	—	4	4	no	—
1066	C₄⋊C₄	—	4	4	no	—
1067	C₄⋊C₄	—	4	4	no	—
1068	C₄⋊C₄	—	4	4	no	—
1069	C₄⋊C₄	—	4	4	no	—
1070	C₄⋊C₄	—	4	4	no	—
1071	C₄⋊C₄	—	4	4	no	—
1072	C₄⋊C₄	—	4	4	no	—
1073	C₄⋊C₄	—	4	4	no	—
1074	C₄⋊C₄	—	4	4	no	—
1075	C₄⋊C₄	—	4	4	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	4	no	—
1078	C₄⋊C₄	—	4	4	no	—
1079	C₄⋊C₄	—	4	4	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₄⋊C₄	—	4	4	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₄⋊C₄	—	4	4	no	—
1085	C₄⋊C₄	—	4	4	no	—
1086	C₄⋊C₄	—	4	4	no	—
1087	C₄⋊C₄	—	4	4	no	—
1088	C₄⋊C₄	—	4	4	no	—
1089	C₄⋊C₄	—	4	4	no	—
1090	C₄⋊C₄	—	4	4	no	—
1091	C₄⋊C₄	—	4	4	no	—
1092	C₄⋊C₄	—	4	4	no	—
1093	C₄⋊C₄	—	4	4	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	4	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₄⋊C₄	—	4	4	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	2	8	no	—
1104	C₂²⋊C₄	—	2	8	no	—
1105	C₂²⋊C₄	—	2	8	no	—
1106	C₂²⋊C₄	—	2	8	no	—
1107	C₂²⋊C₄	—	2	8	no	—
1108	C₂²⋊C₄	—	2	8	no	—
1109	C₂²⋊C₄	—	2	8	no	—
1110	C₂²⋊C₄	—	2	8	no	—
1111	C₂²⋊C₄	—	2	8	no	—
1112	C₂²⋊C₄	—	2	8	no	—
1113	C₂²⋊C₄	—	2	8	no	—
1114	C₂²⋊C₄	—	4	4	no	—
1115	C₂²⋊C₄	—	4	4	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	4	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	4	no	—
1137	C₂²⋊C₄	—	4	4	no	—
1138	C₂²⋊C₄	—	4	4	no	—
1139	C₂²⋊C₄	—	4	4	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	4	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	4	no	—
1148	C₂²⋊C₄	—	4	4	no	—
1149	C₄²	—	4	4	no	—
1150	C₄²	—	4	4	no	—
1151	C₄²	—	4	4	no	—
1152	C₄²	—	4	4	no	—
1153	C₄²	—	4	4	no	—
1154	C₄²	—	4	4	no	—
1155	C₄²	—	4	4	no	—
1156	C₄²	—	4	4	no	—
1157	C₄²	—	4	4	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	2	no	—
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	8	no	—
1171	C₂³	—	2	8	no	—
1172	C₂³	—	2	8	no	—
1173	C₂³	—	2	8	no	—
1174	C₂³	—	2	8	no	—
1175	C₂³	—	2	8	no	—
1176	C₂³	—	2	2	no	—
1177	C₂³	—	2	2	no	—
1178	C₂³	—	2	2	no	—
1179	C₂³	—	2	2	no	—
1180	C₂³	—	2	2	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	2	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	2	no	—
1188	C₂³	—	2	2	no	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	4	16	no	—
1191	C₂³	—	4	16	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	4	no	—
1195	C₂³	—	4	4	no	—
1196	C₂³	—	4	4	no	—
1197	C₂³	—	4	4	no	—
1198	C₂³	—	4	4	no	—
1199	C₂³	—	4	4	no	—
1200	C₂³	—	4	4	no	—
1201	C₂³	—	4	4	no	—
1202	C₂³	—	4	4	no	—
1203	C₂³	—	4	4	no	—
1204	C₂³	—	4	4	no	—
1205	C₂³	—	4	4	no	—
1206	C₂³	—	4	4	no	—
1207	C₂³	—	4	4	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	4	4	no	—
1212	C₂³	—	4	4	no	—
1213	C₂³	—	4	4	no	—
1214	C₂³	—	8	8	no	—
1215	C₂³	—	8	8	no	—
1216	C₂³	—	8	8	no	—
1217	C₂³	—	8	8	no	—
1218	C₂³	—	8	8	no	—
1219	C₂³	—	8	64	no	—
1220	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1221	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1222	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1223	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1224	C₂³	C₂×2₋¹⁺⁴	1	2	yes	—
1225	C₂³	#585	1	2	yes	—
1226	C₂³	#585	1	2	yes	—
1227	C₂³	#585	1	2	yes	—
1228	C₂³	#585	1	2	yes	—
1229	C₂³	C₂⁶	1	1	yes	characteristic
1230	Q₈	—	8	8	no	—
1231	D₄	—	4	16	no	—
1232	D₄	—	8	8	no	—
1233	D₄	—	8	8	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	8	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	2	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	2	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	2	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	2	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	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	—	4	16	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	—	4	4	no	—
1323	C₂×C₄	—	4	4	no	—
1324	C₂×C₄	—	4	4	no	—
1325	C₂×C₄	—	4	4	no	—
1326	C₂×C₄	—	4	4	no	—
1327	C₂×C₄	—	4	4	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	4	4	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	4	no	—
1332	C₂×C₄	—	4	4	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	4	no	—
1336	C₂×C₄	—	4	4	no	—
1337	C₂×C₄	—	4	4	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	4	no	—
1342	C₂×C₄	—	8	8	no	—
1343	C₂×C₄	—	8	8	no	—
1344	C₂×C₄	—	8	8	no	—
1345	C₂×C₄	—	8	8	no	—
1346	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1347	C₂²	—	2	4	no	—
1348	C₂²	—	2	4	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	4	2	no	—
1354	C₂²	—	4	2	no	—
1355	C₂²	—	4	2	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	4	2	no	—
1359	C₂²	—	4	2	no	—
1360	C₂²	—	4	2	no	—
1361	C₂²	—	4	16	no	—
1362	C₂²	—	4	16	no	—
1363	C₂²	—	4	2	no	—
1364	C₂²	—	4	2	no	—
1365	C₂²	—	4	2	no	—
1366	C₂²	—	4	2	no	—
1367	C₂²	—	4	2	no	—
1368	C₂²	—	4	2	no	—
1369	C₂²	—	4	2	no	—
1370	C₂²	—	4	2	no	—
1371	C₂²	—	4	2	no	—
1372	C₂²	—	4	2	no	—
1373	C₂²	—	4	2	no	—
1374	C₂²	—	4	2	no	—
1375	C₂²	—	4	2	no	—
1376	C₂²	—	4	2	no	—
1377	C₂²	—	8	32	no	—
1378	C₂²	—	8	8	no	—
1379	C₂²	—	8	8	no	—
1380	C₂²	#3533	1	4	yes	—
1381	C₂²	#3534	1	4	yes	—
1382	C₂²	#3535	1	4	yes	—
1383	C₂²	#3541	1	4	yes	—
1384	C₂²	#3562	1	4	yes	—
1385	C₂²	#3564	1	4	yes	—
1386	C₂²	#3566	1	4	yes	—
1387	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1388	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1389	C₂²	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1390	C₂²	C₂×#585	1	1	yes	characteristic
1391	C₂²	C₂×#585	1	1	yes	characteristic
1392	C₂²	C₂×#585	1	1	yes	characteristic
1393	C₂²	C₂×#585	1	1	yes	characteristic
1394	C₄	—	2	4	no	—
1395	C₄	—	4	2	no	—
1396	C₄	—	4	2	no	—
1397	C₄	—	4	2	no	—
1398	C₄	—	4	2	no	—
1399	C₄	—	4	2	no	—
1400	C₄	—	4	2	no	—
1401	C₄	—	4	2	no	—
1402	C₄	—	4	2	no	—
1403	C₄	—	4	2	no	—
1404	C₄	—	4	2	no	—
1405	C₄	—	4	2	no	—
1406	C₄	—	4	2	no	—
1407	C₄	—	4	2	no	—
1408	C₄	—	4	2	no	—
1409	C₄	—	4	2	no	—
1410	C₄	—	4	2	no	—
1411	C₄	—	4	2	no	—
1412	C₄	—	4	2	no	—
1413	C₄	—	4	2	no	—
1414	C₄	—	4	2	no	—
1415	C₄	—	4	2	no	—
1416	C₄	—	4	2	no	—
1417	C₄	—	4	2	no	—
1418	C₄	—	4	2	no	—
1419	C₄	—	4	2	no	—
1420	C₄	—	4	2	no	—
1421	C₂	—	4	4	no	—
1422	C₂	—	4	4	no	—
1423	C₂	—	8	2	no	—
1424	C₂	—	8	2	no	—
1425	C₂	#56424	1	8	yes	direct product factor
1426	C₂	C₂×#3541	1	1	yes	characteristic
1427	C₂	C₂×#3534	1	1	yes	characteristic
1428	C₂	C₂×#3535	1	1	yes	characteristic
1429	C₂	C₂×#3533	1	1	yes	characteristic
1430	C₂	C₂×#3564	1	1	yes	characteristic
1431	C₂	C₂×#3562	1	1	yes	characteristic
1432	C₂	C₂×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁶
prime radical	C₂²×#120	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #56424	C₂	direct (N × H)
2. C₂×#2807	C₂	semidirect
3. C₂×#2807	C₂	semidirect
4. C₂×#2798	C₂	semidirect
5. C₂×#2786	C₂	semidirect
6. C₂×#2781	C₂	semidirect
7. C₂×#2779	C₂	semidirect
8. C₂×#2777	C₂	semidirect
9. C₂×#2772	C₂	semidirect
10. C₂×#2770	C₂	semidirect
11. C₂×#2735	C₂	semidirect
12. C₂×#2732	C₂	semidirect
13. C₂×#2722	C₂	semidirect
14. C₂×#2707	C₂	semidirect
15. C₂×#2698	C₂	semidirect
16. C₂×#2690	C₂	semidirect
18. C₂×#2836	C₂	semidirect
19. C₂×#2837	C₂	semidirect
20. C₂×#2827	C₂	semidirect
21. C₂×#2578	C₂	semidirect
22. C₂×#2482	C₂	semidirect
23. C₂×#2522	C₂	semidirect
24. C₂×#2475	C₂	semidirect
25. C₂×#2415	C₂	semidirect
26. C₂×#2466	C₂	semidirect
27. C₂×#2480	C₂	semidirect
29. C₂×#2437	C₂	semidirect
30. C₂×#2651	C₂	semidirect
31. C₂×#2663	C₂	semidirect
35. C₂²×#125	C₂²	semidirect
39. C₂²×C₂²⋊Q₈	C₂²	semidirect
45. #2837	C₂²	semidirect
46. #2836	C₂²	semidirect
47. #2827	C₂²	semidirect
48. #2807	C₂²	semidirect
49. #2807	C₂²	semidirect
50. #2798	C₂²	semidirect
51. #2786	C₂²	semidirect
52. #2781	C₂²	semidirect
53. #2779	C₂²	semidirect
54. #2777	C₂²	semidirect
55. #2772	C₂²	semidirect
56. #2770	C₂²	semidirect
57. #2735	C₂²	semidirect
58. #2732	C₂²	semidirect
59. #2722	C₂²	semidirect
60. #2707	C₂²	semidirect
61. #2698	C₂²	semidirect
62. #2690	C₂²	semidirect
64. #2663	C₂²	semidirect
65. #2651	C₂²	semidirect
67. #2578	C₂²	semidirect
68. #2522	C₂²	semidirect
69. #2482	C₂²	semidirect
70. #2480	C₂²	semidirect
71. #2475	C₂²	semidirect
72. #2466	C₂²	semidirect
73. #2437	C₂²	semidirect
75. #2415	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
83. C₂×#400	C₂²	semidirect
90. C₂×#399	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
96. C₂×#398	C₂²	semidirect
97. C₂×#398	C₂²	semidirect
98. C₂×#398	C₂²	semidirect
99. C₂×#398	C₂²	semidirect
100. C₂×#398	C₂²	semidirect
101. C₂×#398	C₂²	semidirect
115. C₂×#397	C₂²	semidirect
116. C₂×#397	C₂²	semidirect
117. C₂×#397	C₂²	semidirect
118. C₂×#397	C₂²	semidirect
125. C₂×#396	C₂²	semidirect
126. C₂×#396	C₂²	semidirect
127. C₂×#396	C₂²	semidirect
128. C₂×#395	C₂²	semidirect
140. C₂×#391	C₂²	semidirect
141. C₂×#391	C₂²	semidirect
144. C₂×#389	C₂²	semidirect
145. C₂×#389	C₂²	semidirect
146. C₂×#389	C₂²	semidirect
147. C₂×#389	C₂²	semidirect
148. C₂×#389	C₂²	semidirect
149. C₂×#389	C₂²	semidirect
150. C₂×#389	C₂²	semidirect
151. C₂×#389	C₂²	semidirect
152. C₂×#389	C₂²	semidirect
153. C₂×#389	C₂²	semidirect
154. C₂×#389	C₂²	semidirect
173. C₂×#388	C₂²	semidirect
174. C₂×#388	C₂²	semidirect
175. C₂×#388	C₂²	semidirect
176. C₂×#388	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
203. C₂×#385	C₂²	semidirect
204. C₂×#383	C₂²	semidirect
205. C₂×#382	C₂²	semidirect
211. C₂×#380	C₂²	semidirect
216. C₂×C₄×C₄⋊C₄	C₂²	semidirect
218. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
234. C₂×#125	C₂³	semidirect
242. C₂×C₂²⋊Q₈	C₂³	semidirect
350. #400	C₂³	semidirect
351. #400	C₂³	semidirect
352. #400	C₂³	semidirect
353. #400	C₂³	semidirect
354. #400	C₂³	semidirect
355. #400	C₂³	semidirect
356. #400	C₂³	semidirect
357. #400	C₂³	semidirect
364. #399	C₂³	semidirect
365. #398	C₂³	semidirect
366. #398	C₂³	semidirect
367. #398	C₂³	semidirect
368. #398	C₂³	semidirect
369. #398	C₂³	semidirect
370. #398	C₂³	semidirect
371. #398	C₂³	semidirect
372. #398	C₂³	semidirect
373. #398	C₂³	semidirect
374. #398	C₂³	semidirect
375. #398	C₂³	semidirect
389. #397	C₂³	semidirect
390. #397	C₂³	semidirect
391. #397	C₂³	semidirect
392. #397	C₂³	semidirect
399. #396	C₂³	semidirect
400. #396	C₂³	semidirect
401. #396	C₂³	semidirect
402. #395	C₂³	semidirect
414. #391	C₂³	semidirect
415. #391	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
427. #389	C₂³	semidirect
428. #389	C₂³	semidirect
447. #388	C₂³	semidirect
448. #388	C₂³	semidirect
449. #388	C₂³	semidirect
450. #388	C₂³	semidirect
451. #387	C₂³	semidirect
452. #387	C₂³	semidirect
453. #387	C₂³	semidirect
454. #387	C₂³	semidirect
455. #387	C₂³	semidirect
456. #387	C₂³	semidirect
457. #387	C₂³	semidirect
458. #387	C₂³	semidirect
459. #387	C₂³	semidirect
460. #387	C₂³	semidirect
461. #387	C₂³	semidirect
477. #385	C₂³	semidirect
478. #383	C₂³	semidirect
479. #382	C₂³	semidirect
485. #380	C₂³	semidirect
490. C₄×C₄⋊C₄	C₂³	semidirect
492. C₄×C₂²⋊C₄	C₂³	semidirect
1425. C₂	#56424	direct (N × H)

Maximal subgroups

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

subgroup	index
#56424	2
C₂×#2807	2
C₂×#2798	2
C₂×#2786	2
C₂×#2781	2
C₂×#2779	2
C₂×#2777	2
C₂×#2772	2
C₂×#2770	2
C₂×#2735	2
C₂×#2732	2
C₂×#2722	2
C₂×#2707	2
C₂×#2698	2
C₂×#2690	2
C₂×#2685	2
C₂×#2836	2
C₂×#2837	2
C₂×#2827	2
C₂×#2578	2
C₂×#2482	2
C₂×#2522	2
C₂×#2475	2
C₂×#2415	2
C₂×#2466	2
C₂×#2480	2
C₂×#2418	2
C₂×#2437	2
C₂×#2651	2
C₂×#2663	2
C₂×#2622	2

Subgroups — C2×#56424 #8098855

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#56424 #8098855