Subgroups — #6410854

Order 512.

1377 conjugacy classes of subgroups.

The subgroup lattice has 986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34551	C₂	1	1	yes	maximal, characteristic
2	#23382	C₂	1	2	yes	maximal, complemented
3	#23379	C₂	1	2	yes	maximal, complemented
4	#22911	C₂	1	2	yes	maximal, complemented
5	#22909	C₂	1	2	yes	maximal, complemented
6	#22788	C₂	1	1	yes	maximal, characteristic, complemented
7	#22786	C₂	1	1	yes	maximal, characteristic, complemented
8	#22698	C₂	1	1	yes	maximal, characteristic, complemented
9	#22696	C₂	1	1	yes	maximal, characteristic, complemented
10	#22641	C₂	1	1	yes	maximal, characteristic, complemented
11	#22639	C₂	1	1	yes	maximal, characteristic, complemented
12	#22591	C₂	1	1	yes	maximal, characteristic, complemented
13	#22590	C₂	1	1	yes	maximal, characteristic, complemented
14	#22392	C₂	1	2	yes	maximal, complemented
15	#22378	C₂	1	2	yes	maximal, complemented
16	#22294	C₂	1	2	yes	maximal, complemented
17	#22173	C₂	1	2	yes	maximal
18	#22024	C₂	1	1	yes	maximal, characteristic, complemented
19	#22018	C₂	1	1	yes	maximal, characteristic, complemented
20	#22000	C₂	1	1	yes	maximal, characteristic, complemented
21	#21998	C₂	1	1	yes	maximal, characteristic, complemented
22	#20813	C₂	1	1	yes	maximal, characteristic, complemented
23	#20774	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#435	C₂²	1	2	yes	—
25	C₂×C₈×D₄	C₂²	1	2	yes	—
26	C₂×#433	C₂²	1	2	yes	—
27	#2402	C₄	1	1	yes	characteristic
28	#2402	C₄	1	1	yes	characteristic
29	#2402	C₂²	1	1	yes	characteristic
30	#2401	C₄	1	1	yes	characteristic
31	#2401	C₄	1	1	yes	characteristic
32	#2401	C₄	1	1	yes	characteristic
33	#2401	C₄	1	1	yes	characteristic
34	#2401	C₂²	1	1	yes	characteristic
35	#2401	C₂²	1	1	yes	characteristic
36	#2398	C₄	1	1	yes	characteristic
37	#2398	C₄	1	1	yes	characteristic
38	#2398	C₂²	1	1	yes	characteristic
39	#2396	C₄	1	1	yes	characteristic
40	#2396	C₄	1	1	yes	characteristic
41	#2396	C₂²	1	1	yes	characteristic
42	#2395	C₄	1	1	yes	characteristic
43	#2395	C₄	1	1	yes	characteristic
44	#2395	C₄	1	1	yes	characteristic
45	#2395	C₄	1	1	yes	characteristic
46	#2395	C₂²	1	1	yes	characteristic
47	#2395	C₂²	1	1	yes	characteristic
48	#2392	C₄	1	1	yes	characteristic
49	#2392	C₄	1	1	yes	characteristic
50	#2392	C₂²	1	1	yes	characteristic
51	C₄²×Q₈	C₂²	1	1	yes	characteristic
52	C₄²×D₄	C₂²	1	1	yes	characteristic
53	C₄²×D₄	C₂²	1	1	yes	characteristic
54	C₄²×D₄	C₂²	1	1	yes	characteristic
55	C₄×#117	C₂²	1	1	yes	characteristic
56	C₄×#117	C₂²	1	1	yes	characteristic
57	C₄×#117	C₂²	1	1	yes	characteristic
58	#1985	C₂²	1	2	yes	—
59	#1984	C₂²	1	2	yes	—
60	#1940	C₂²	1	2	yes	—
61	#1940	C₂²	1	2	yes	—
62	#1940	C₂²	1	2	yes	—
63	#1939	C₂²	1	2	yes	—
64	#1939	C₂²	1	2	yes	—
65	#1939	C₂²	1	2	yes	—
66	#1924	C₂²	1	2	yes	—
67	#1924	C₂²	1	2	yes	—
68	#1924	C₂²	1	2	yes	—
69	#1923	C₂²	1	2	yes	—
70	#1923	C₂²	1	2	yes	—
71	#1923	C₂²	1	2	yes	—
72	#1923	C₂²	1	2	yes	—
73	#1923	C₂²	1	2	yes	—
74	#1917	C₂²	1	2	yes	—
75	#1917	C₂²	1	2	yes	—
76	#1917	C₂²	1	2	yes	—
77	#1917	C₂²	1	2	yes	—
78	#1917	C₂²	1	2	yes	—
79	#1917	C₂²	1	2	yes	—
80	#1917	C₂²	1	2	yes	—
81	#1916	C₂²	1	2	yes	—
82	#1916	C₂²	1	2	yes	—
83	#1916	C₂²	1	2	yes	—
84	#1916	C₂²	1	2	yes	—
85	#1916	C₂²	1	2	yes	—
86	#1870	C₂²	1	2	yes	—
87	#1870	C₂²	1	2	yes	—
88	#1870	C₂²	1	2	yes	—
89	#1869	C₂²	1	2	yes	—
90	#1851	C₂²	1	2	yes	—
91	#1851	C₂²	1	2	yes	—
92	#1851	C₂²	1	2	yes	—
93	#1850	C₂²	1	2	yes	—
94	#1850	C₂²	1	2	yes	—
95	#1850	C₂²	1	2	yes	—
96	#1850	C₂²	1	2	yes	—
97	#1850	C₂²	1	2	yes	—
98	#1843	C₂²	1	2	yes	—
99	#1840	C₂²	1	2	yes	—
100	#1840	C₂²	1	2	yes	—
101	#1839	C₂²	1	1	yes	characteristic
102	#1839	C₂²	1	1	yes	characteristic
103	#1839	C₂²	1	1	yes	characteristic
104	#1839	C₂²	1	1	yes	characteristic
105	#1839	C₂²	1	1	yes	characteristic
106	#1839	C₂²	1	1	yes	characteristic
107	#1831	C₂²	1	1	yes	characteristic
108	#1831	C₂²	1	1	yes	characteristic
109	#1831	C₂²	1	1	yes	characteristic
110	#1831	C₂²	1	1	yes	characteristic
111	#1817	C₂²	1	1	yes	characteristic
112	#1817	C₂²	1	1	yes	characteristic
113	#1798	C₂²	1	2	yes	—
114	#1797	C₂²	1	1	yes	characteristic
115	#1797	C₂²	1	1	yes	characteristic
116	#1797	C₂²	1	1	yes	characteristic
117	#1797	C₂²	1	1	yes	characteristic
118	#1771	C₂²	1	2	yes	—
119	C₈×C₄⋊C₄	C₂²	1	2	yes	—
120	#1768	C₂²	1	2	yes	—
121	#1767	C₂²	1	1	yes	characteristic
122	#1767	C₂²	1	1	yes	characteristic
123	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
124	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
125	#1753	C₂²	1	2	yes	—
126	#1753	C₂²	1	2	yes	—
127	#1753	C₂²	1	2	yes	—
128	#1752	C₂²	1	2	yes	—
129	#1749	C₂²	1	1	yes	characteristic
130	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
131	#1745	C₂²	1	1	yes	characteristic
132	#1744	C₂²	1	1	yes	characteristic
133	#1729	C₂²	1	2	yes	—
134	#1729	C₂²	1	2	yes	—
135	#1728	C₂²	1	1	yes	characteristic
136	#1728	C₂²	1	1	yes	characteristic
137	C₂×#336	C₂²	1	1	yes	characteristic
138	C₂×#336	C₂²	1	1	yes	characteristic
139	C₂²×M₁₆	C₂³	1	2	yes	—
140	C₂²×M₁₆	C₂³	1	2	yes	—
141	C₂³×C₈	C₂³	1	2	yes	—
142	C₂³×C₈	C₂³	1	2	yes	—
143	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
144	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
145	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
146	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
147	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
148	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
149	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
150	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
151	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
152	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
153	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
154	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
155	C₂×#117	C₂×C₄	1	1	yes	characteristic
156	C₂×#117	C₂×C₄	1	1	yes	characteristic
157	C₂×#117	C₂×C₄	1	1	yes	characteristic
158	C₂×#117	C₂×C₄	1	1	yes	characteristic
159	C₂×#117	C₂³	1	1	yes	characteristic
160	C₂×#117	C₂³	1	1	yes	characteristic
161	C₂²×C₄²	C₂³	1	1	yes	characteristic
162	C₂²×C₄²	C₂³	1	1	yes	characteristic
163	C₂²×C₄²	C₂³	1	1	yes	characteristic
164	#435	—	4	4	no	—
165	C₈×D₄	—	4	4	no	—
166	#433	—	4	4	no	—
167	C₂×C₄⋊C₈	C₂³	1	2	yes	—
168	C₂×C₄⋊C₈	C₂³	1	2	yes	—
169	C₂×C₄⋊C₈	C₂³	1	2	yes	—
170	C₂×C₄⋊C₈	C₂³	1	2	yes	—
171	C₂×C₄⋊C₈	C₂³	1	2	yes	—
172	C₂×C₄⋊C₈	C₂³	1	2	yes	—
173	C₂×C₄⋊C₈	C₂³	1	2	yes	—
174	C₂×C₄⋊C₈	C₂³	1	2	yes	—
175	C₂×C₄⋊C₈	C₂³	1	2	yes	—
176	C₂×C₄⋊C₈	C₂³	1	2	yes	—
177	C₂×C₄⋊C₈	C₂³	1	2	yes	—
178	C₂×C₄⋊C₈	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
187	C₂×#97	C₂³	1	2	yes	—
188	C₂×#97	C₂³	1	2	yes	—
189	C₂×#97	C₂³	1	2	yes	—
190	C₂×#97	C₂³	1	2	yes	—
191	C₂×C₄×C₈	C₂³	1	2	yes	—
192	C₂×C₄×C₈	C₂³	1	2	yes	—
193	C₂×C₄×C₈	C₂³	1	2	yes	—
194	C₂×C₄×C₈	C₂³	1	2	yes	—
195	#401	C₂×C₄	1	1	yes	characteristic
196	#401	C₂×C₄	1	1	yes	characteristic
197	#400	C₂×C₄	1	1	yes	characteristic
198	#400	C₂×C₄	1	1	yes	characteristic
199	#400	C₂×C₄	1	1	yes	characteristic
200	#400	C₂×C₄	1	1	yes	characteristic
201	#400	C₂×C₄	1	1	yes	characteristic
202	#400	C₂×C₄	1	1	yes	characteristic
203	#400	C₂×C₄	1	1	yes	characteristic
204	#400	C₂×C₄	1	1	yes	characteristic
205	#400	C₂×C₄	1	1	yes	characteristic
206	#400	C₂×C₄	1	1	yes	characteristic
207	#400	C₂×C₄	1	1	yes	characteristic
208	#400	C₂×C₄	1	1	yes	characteristic
209	#400	C₂×C₄	1	1	yes	characteristic
210	#400	C₂×C₄	1	1	yes	characteristic
211	#400	C₂×C₄	1	1	yes	characteristic
212	#399	C₂×C₄	1	1	yes	characteristic
213	#399	C₂×C₄	1	1	yes	characteristic
214	#399	C₂×C₄	1	1	yes	characteristic
215	#398	C₂×C₄	1	1	yes	characteristic
216	#398	C₂×C₄	1	1	yes	characteristic
217	#398	C₂×C₄	1	1	yes	characteristic
218	#398	C₂×C₄	1	1	yes	characteristic
219	#398	C₂×C₄	1	1	yes	characteristic
220	#398	C₂×C₄	1	1	yes	characteristic
221	#398	C₂×C₄	1	1	yes	characteristic
222	#398	C₂×C₄	1	1	yes	characteristic
223	#398	C₂×C₄	1	1	yes	characteristic
224	#397	C₂×C₄	1	1	yes	characteristic
225	#397	C₂×C₄	1	1	yes	characteristic
226	#397	C₂×C₄	1	1	yes	characteristic
227	#397	C₂×C₄	1	1	yes	characteristic
228	#397	C₂×C₄	1	1	yes	characteristic
229	#397	C₂×C₄	1	1	yes	characteristic
230	#397	C₂×C₄	1	1	yes	characteristic
231	#397	C₂×C₄	1	1	yes	characteristic
232	#397	C₂×C₄	1	1	yes	characteristic
233	#397	C₂×C₄	1	1	yes	characteristic
234	#397	C₂×C₄	1	1	yes	characteristic
235	#397	C₂×C₄	1	1	yes	characteristic
236	#397	C₂×C₄	1	1	yes	characteristic
237	#397	C₂×C₄	1	1	yes	characteristic
238	#397	C₂×C₄	1	1	yes	characteristic
239	#396	C₂×C₄	1	1	yes	characteristic
240	#396	C₂×C₄	1	1	yes	characteristic
241	#396	C₂×C₄	1	1	yes	characteristic
242	#396	C₂×C₄	1	1	yes	characteristic
243	#396	C₂×C₄	1	1	yes	characteristic
244	#396	C₂×C₄	1	1	yes	characteristic
245	#395	C₂×C₄	1	1	yes	characteristic
246	#394	C₂×C₄	1	1	yes	characteristic
247	#394	C₂×C₄	1	1	yes	characteristic
248	#394	C₂×C₄	1	1	yes	characteristic
249	#394	C₂×C₄	1	1	yes	characteristic
250	#394	C₂×C₄	1	1	yes	characteristic
251	#394	C₂×C₄	1	1	yes	characteristic
252	#394	C₂×C₄	1	1	yes	characteristic
253	#394	C₂×C₄	1	1	yes	characteristic
254	#394	C₂×C₄	1	1	yes	characteristic
255	#393	C₂×C₄	1	1	yes	characteristic
256	#393	C₂×C₄	1	1	yes	characteristic
257	#393	C₂×C₄	1	1	yes	characteristic
258	#392	C₂×C₄	1	1	yes	characteristic
259	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
260	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
261	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
262	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
263	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
264	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
265	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
266	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
267	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
268	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
269	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
270	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
271	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
272	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
273	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
274	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
275	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
276	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
277	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
278	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
279	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
290	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
291	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
292	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
293	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
297	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
298	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
301	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
302	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
305	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
306	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
307	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
308	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
309	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	#376	C₂×C₄	1	1	yes	characteristic
320	#376	C₂×C₄	1	1	yes	characteristic
321	#376	C₂×C₄	1	1	yes	characteristic
322	#376	C₂×C₄	1	1	yes	characteristic
323	#376	C₂³	1	1	yes	characteristic
324	#376	C₂³	1	1	yes	characteristic
325	C₄³	C₂³	1	1	yes	characteristic
326	C₄³	C₂³	1	1	yes	characteristic
327	C₄³	C₂³	1	1	yes	characteristic
328	C₄³	C₂³	1	1	yes	characteristic
329	#336	C₂³	1	1	yes	characteristic
330	#336	C₂³	1	1	yes	characteristic
331	#336	C₂³	1	1	yes	characteristic
332	#336	C₂³	1	1	yes	characteristic
333	#336	C₂³	1	1	yes	characteristic
334	#336	C₂³	1	1	yes	characteristic
335	#336	C₂³	1	2	yes	—
336	#336	C₂³	1	2	yes	—
337	#336	C₂³	1	1	yes	characteristic
338	#336	C₂³	1	1	yes	characteristic
339	#336	C₂³	1	2	yes	—
340	#336	C₂³	1	2	yes	—
341	#336	C₂³	1	2	yes	—
342	#336	C₂³	1	2	yes	—
343	#336	C₂³	1	2	yes	—
344	#336	C₂³	1	2	yes	—
345	#336	C₂³	1	2	yes	—
346	#336	C₂³	1	2	yes	—
347	#336	C₂³	1	2	yes	—
348	#336	C₂³	1	2	yes	—
349	#336	C₂³	1	2	yes	—
350	#336	C₂³	1	2	yes	—
351	#336	C₂³	1	2	yes	—
352	#336	C₂³	1	2	yes	—
353	#336	C₂³	1	2	yes	—
354	#336	C₂³	1	2	yes	—
355	#336	C₂³	1	2	yes	—
356	#336	C₂³	1	2	yes	—
357	#336	C₂³	1	2	yes	—
358	#336	C₂³	1	2	yes	—
359	#336	C₂³	1	2	yes	—
360	#336	C₂³	1	2	yes	—
361	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
362	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
363	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
364	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
365	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
366	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
367	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
368	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
369	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
370	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
371	C₂³×C₄	C₂⁴	1	1	yes	characteristic
372	C₂³×C₄	C₂⁴	1	1	yes	characteristic
373	C₂³×C₄	C₂⁴	1	1	yes	characteristic
374	C₂×M₁₆	—	2	4	no	—
375	C₂×M₁₆	—	4	2	no	—
376	C₂×M₁₆	—	4	2	no	—
377	C₂×M₁₆	—	4	2	no	—
378	C₂×M₁₆	—	4	2	no	—
379	C₂×M₁₆	—	4	2	no	—
380	C₂²×C₈	—	2	4	no	—
381	C₂²×C₈	—	4	2	no	—
382	C₂²×C₈	—	4	2	no	—
383	C₂²×C₈	—	4	2	no	—
384	C₂²×C₈	—	4	2	no	—
385	C₂²×C₈	—	4	2	no	—
386	C₂²×C₈	C₂⁴	1	2	yes	—
387	C₂²×C₈	C₂⁴	1	2	yes	—
388	C₂²×C₈	C₂⁴	1	2	yes	—
389	C₂²×C₈	C₂⁴	1	2	yes	—
390	C₂²×C₈	C₂⁴	1	2	yes	—
391	C₂²×C₈	C₂⁴	1	2	yes	—
392	C₂²×C₈	C₂⁴	1	2	yes	—
393	C₂²×C₈	C₂⁴	1	2	yes	—
394	C₄×Q₈	—	2	4	no	—
395	C₄×Q₈	—	4	2	no	—
396	C₄×Q₈	—	4	2	no	—
397	C₄×D₄	—	2	2	no	—
398	C₄×D₄	—	2	2	no	—
399	C₄×D₄	—	2	2	no	—
400	C₄×D₄	—	2	2	no	—
401	C₄×D₄	—	2	4	no	—
402	C₄×D₄	—	4	2	no	—
403	C₄×D₄	—	4	2	no	—
404	C₄×D₄	—	4	2	no	—
405	C₄×D₄	—	4	2	no	—
406	C₄×D₄	—	4	2	no	—
407	C₄×D₄	—	4	2	no	—
408	#117	—	2	2	no	—
409	#117	—	2	2	no	—
410	#117	—	2	4	no	—
411	#117	—	4	2	no	—
412	#117	—	4	2	no	—
413	#117	—	4	2	no	—
414	#117	—	4	2	no	—
415	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
425	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
426	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
428	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
446	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
447	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
448	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
449	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
450	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
451	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
452	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
453	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
454	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
455	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
456	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
457	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
458	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
459	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
462	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
472	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
473	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
474	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
475	C₂×C₄²	—	4	2	no	—
476	C₂×C₄²	—	4	2	no	—
477	C₂×C₄²	—	4	2	no	—
478	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
479	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
480	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
481	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
482	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
483	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
492	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
493	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
494	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄²	C₂⁴	1	1	yes	characteristic
501	C₂×C₄²	C₂⁴	1	1	yes	characteristic
502	C₂×C₄²	C₂⁴	1	1	yes	characteristic
503	C₂×C₄²	C₂⁴	1	1	yes	characteristic
504	C₂×C₄²	C₂⁴	1	1	yes	characteristic
505	C₂×C₄²	C₂⁴	1	1	yes	characteristic
506	C₂×C₄²	C₂⁴	1	1	yes	characteristic
507	C₂×C₄²	C₂⁴	1	1	yes	characteristic
508	C₂×C₄²	C₂⁴	1	1	yes	characteristic
509	C₂×C₄²	C₂⁴	1	1	yes	characteristic
510	C₂×C₄²	C₂⁴	1	1	yes	characteristic
511	C₂×C₄²	C₂⁴	1	1	yes	characteristic
512	C₄⋊C₈	—	4	2	no	—
513	C₄⋊C₈	—	4	2	no	—
514	C₄⋊C₈	—	4	2	no	—
515	C₄⋊C₈	—	4	2	no	—
516	C₄⋊C₈	—	4	2	no	—
517	C₄⋊C₈	—	4	2	no	—
518	C₄⋊C₈	—	4	2	no	—
519	C₄⋊C₈	—	4	2	no	—
520	C₄⋊C₈	—	4	2	no	—
521	C₄⋊C₈	—	4	2	no	—
522	C₄⋊C₈	—	4	2	no	—
523	C₄⋊C₈	—	4	2	no	—
524	C₂²⋊C₈	—	2	4	no	—
525	C₂²⋊C₈	—	2	4	no	—
526	C₂²⋊C₈	—	4	2	no	—
527	C₂²⋊C₈	—	4	2	no	—
528	C₂²⋊C₈	—	4	2	no	—
529	C₂²⋊C₈	—	4	2	no	—
530	C₂²⋊C₈	—	4	2	no	—
531	C₂²⋊C₈	—	4	2	no	—
532	#97	—	4	2	no	—
533	#97	—	4	2	no	—
534	#97	—	4	2	no	—
535	#97	—	4	2	no	—
536	C₄×C₈	—	4	2	no	—
537	C₄×C₈	—	4	2	no	—
538	C₄×C₈	—	4	2	no	—
539	C₄×C₈	—	4	2	no	—
540	#95	C₂²×C₄	1	1	yes	characteristic
541	#95	C₂²×C₄	1	1	yes	characteristic
542	#95	C₂²×C₄	1	1	yes	characteristic
543	#95	C₂²×C₄	1	1	yes	characteristic
544	#95	C₂²×C₄	1	1	yes	characteristic
545	#95	C₂²×C₄	1	1	yes	characteristic
546	#95	C₂²×C₄	1	1	yes	characteristic
547	#95	C₂²×C₄	1	1	yes	characteristic
548	#95	C₂²×C₄	1	1	yes	characteristic
549	#95	C₂²×C₄	1	1	yes	characteristic
550	#95	C₂²×C₄	1	1	yes	characteristic
551	#95	C₂²×C₄	1	1	yes	characteristic
552	#95	C₂²×C₄	1	1	yes	characteristic
553	#95	C₂²×C₄	1	1	yes	characteristic
554	#95	C₂²×C₄	1	1	yes	characteristic
555	#95	C₂²×C₄	1	1	yes	characteristic
556	#95	C₂²×C₄	1	1	yes	characteristic
557	#95	C₂²×C₄	1	1	yes	characteristic
558	#95	C₂²×C₄	1	1	yes	characteristic
559	#95	C₂²×C₄	1	1	yes	characteristic
560	#95	C₂²×C₄	1	1	yes	characteristic
561	#95	C₂²×C₄	1	1	yes	characteristic
562	#95	C₂²×C₄	1	1	yes	characteristic
563	#95	C₂²×C₄	1	1	yes	characteristic
564	#95	C₂²×C₄	1	1	yes	characteristic
565	#95	C₂²×C₄	1	1	yes	characteristic
566	#95	C₂²×C₄	1	1	yes	characteristic
567	#95	C₂²×C₄	1	1	yes	characteristic
568	#95	C₂²×C₄	1	1	yes	characteristic
569	#95	C₂²×C₄	1	1	yes	characteristic
570	#95	C₂²×C₄	1	1	yes	characteristic
571	#95	C₂²×C₄	1	1	yes	characteristic
572	#95	C₂²×C₄	1	1	yes	characteristic
573	#95	C₂²×C₄	1	1	yes	characteristic
574	#95	C₂²×C₄	1	1	yes	characteristic
575	#95	C₂²×C₄	1	1	yes	characteristic
576	#95	C₂²×C₄	1	1	yes	characteristic
577	#95	C₂²×C₄	1	1	yes	characteristic
578	#95	C₂²×C₄	1	1	yes	characteristic
579	#95	C₂²×C₄	1	1	yes	characteristic
580	#95	C₂²×C₄	1	1	yes	characteristic
581	#95	C₂²×C₄	1	1	yes	characteristic
582	#95	C₂²×C₄	1	1	yes	characteristic
583	#95	C₂²×C₄	1	1	yes	characteristic
584	#95	C₂²×C₄	1	1	yes	characteristic
585	#95	C₂²×C₄	1	1	yes	characteristic
586	#95	C₂²×C₄	1	1	yes	characteristic
587	#95	C₂²×C₄	1	1	yes	characteristic
588	C₂⁴	C₂³×C₄	1	1	yes	characteristic
589	C₂⁴	C₂³×C₄	1	1	yes	characteristic
590	C₂⁴	C₂³×C₄	1	1	yes	characteristic
591	C₂×Q₈	—	2	2	no	—
592	C₂×Q₈	—	4	1	no	—
593	C₂×Q₈	—	4	1	no	—
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	—	2	2	no	—
597	C₂×D₄	—	2	2	no	—
598	C₂×D₄	—	2	2	no	—
599	C₂×D₄	—	4	1	no	—
600	C₂×D₄	—	4	1	no	—
601	C₂×D₄	—	4	1	no	—
602	C₂×D₄	—	4	1	no	—
603	C₂²×C₄	—	2	2	no	—
604	C₂²×C₄	—	2	2	no	—
605	C₂²×C₄	—	2	2	no	—
606	C₂²×C₄	—	2	2	no	—
607	C₂²×C₄	—	2	2	no	—
608	C₂²×C₄	—	2	2	no	—
609	C₂²×C₄	—	2	1	no	—
610	C₂²×C₄	—	2	1	no	—
611	C₂²×C₄	—	2	1	no	—
612	C₂²×C₄	—	2	1	no	—
613	C₂²×C₄	—	2	2	no	—
614	C₂²×C₄	—	2	2	no	—
615	C₂²×C₄	—	2	2	no	—
616	C₂²×C₄	—	2	2	no	—
617	C₂²×C₄	—	2	2	no	—
618	C₂²×C₄	—	2	2	no	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	4	1	no	—
622	C₂²×C₄	—	4	1	no	—
623	C₂²×C₄	—	4	1	no	—
624	C₂²×C₄	—	4	1	no	—
625	C₂²×C₄	—	4	1	no	—
626	C₂²×C₄	—	4	1	no	—
627	C₂²×C₄	—	4	1	no	—
628	C₂²×C₄	—	4	1	no	—
629	C₂²×C₄	—	4	1	no	—
630	C₂²×C₄	—	4	1	no	—
631	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
632	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
633	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
634	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
635	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
636	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
637	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
638	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
639	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
640	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
641	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
642	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
643	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
644	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
645	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
646	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
647	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
648	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
649	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
650	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
651	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
652	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
653	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
654	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
655	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
656	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
657	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
658	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
659	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
660	C₂²×C₄	C₂⁵	1	1	yes	characteristic
661	M₁₆	—	8	4	no	—
662	M₁₆	—	8	4	no	—
663	C₂×C₈	—	2	2	no	—
664	C₂×C₈	—	2	2	no	—
665	C₂×C₈	—	2	2	no	—
666	C₂×C₈	—	2	2	no	—
667	C₂×C₈	—	2	2	no	—
668	C₂×C₈	—	2	2	no	—
669	C₂×C₈	—	2	2	no	—
670	C₂×C₈	—	2	2	no	—
671	C₂×C₈	—	2	2	no	—
672	C₂×C₈	—	2	2	no	—
673	C₂×C₈	—	2	2	no	—
674	C₂×C₈	—	2	2	no	—
675	C₂×C₈	—	2	2	no	—
676	C₂×C₈	—	2	2	no	—
677	C₂×C₈	—	2	2	no	—
678	C₂×C₈	—	2	2	no	—
679	C₂×C₈	—	2	2	no	—
680	C₂×C₈	—	2	2	no	—
681	C₂×C₈	—	2	2	no	—
682	C₂×C₈	—	2	2	no	—
683	C₂×C₈	—	2	2	no	—
684	C₂×C₈	—	2	2	no	—
685	C₂×C₈	—	2	2	no	—
686	C₂×C₈	—	2	2	no	—
687	C₂×C₈	—	8	4	no	—
688	C₂×C₈	—	8	4	no	—
689	C₄⋊C₄	—	2	2	no	—
690	C₄⋊C₄	—	2	2	no	—
691	C₄⋊C₄	—	2	2	no	—
692	C₄⋊C₄	—	2	2	no	—
693	C₄⋊C₄	—	2	2	no	—
694	C₄⋊C₄	—	2	2	no	—
695	C₄⋊C₄	—	2	2	no	—
696	C₄⋊C₄	—	2	2	no	—
697	C₄⋊C₄	—	2	2	no	—
698	C₄⋊C₄	—	2	2	no	—
699	C₄⋊C₄	—	2	2	no	—
700	C₄⋊C₄	—	2	2	no	—
701	C₄⋊C₄	—	2	2	no	—
702	C₄⋊C₄	—	2	2	no	—
703	C₄⋊C₄	—	4	1	no	—
704	C₄⋊C₄	—	4	1	no	—
705	C₄⋊C₄	—	4	1	no	—
706	C₄⋊C₄	—	4	1	no	—
707	C₄⋊C₄	—	4	1	no	—
708	C₄⋊C₄	—	4	1	no	—
709	C₄⋊C₄	—	4	1	no	—
710	C₄⋊C₄	—	4	1	no	—
711	C₄⋊C₄	—	4	1	no	—
712	C₄⋊C₄	—	4	1	no	—
713	C₄⋊C₄	—	4	1	no	—
714	C₄⋊C₄	—	4	1	no	—
715	C₄⋊C₄	—	4	1	no	—
716	C₄⋊C₄	—	4	1	no	—
717	C₄⋊C₄	—	4	1	no	—
718	C₄⋊C₄	—	4	1	no	—
719	C₂²⋊C₄	—	2	2	no	—
720	C₂²⋊C₄	—	2	2	no	—
721	C₂²⋊C₄	—	2	2	no	—
722	C₂²⋊C₄	—	2	2	no	—
723	C₂²⋊C₄	—	2	2	no	—
724	C₂²⋊C₄	—	2	2	no	—
725	C₂²⋊C₄	—	2	2	no	—
726	C₂²⋊C₄	—	2	2	no	—
727	C₂²⋊C₄	—	2	2	no	—
728	C₂²⋊C₄	—	2	2	no	—
729	C₂²⋊C₄	—	2	2	no	—
730	C₂²⋊C₄	—	2	2	no	—
731	C₂²⋊C₄	—	2	2	no	—
732	C₂²⋊C₄	—	2	2	no	—
733	C₂²⋊C₄	—	2	2	no	—
734	C₂²⋊C₄	—	2	2	no	—
735	C₂²⋊C₄	—	4	1	no	—
736	C₂²⋊C₄	—	4	1	no	—
737	C₂²⋊C₄	—	4	1	no	—
738	C₂²⋊C₄	—	4	1	no	—
739	C₂²⋊C₄	—	4	1	no	—
740	C₂²⋊C₄	—	4	1	no	—
741	C₂²⋊C₄	—	4	1	no	—
742	C₂²⋊C₄	—	4	1	no	—
743	C₂²⋊C₄	—	4	1	no	—
744	C₂²⋊C₄	—	4	1	no	—
745	C₂²⋊C₄	—	4	1	no	—
746	C₂²⋊C₄	—	4	1	no	—
747	C₂²⋊C₄	—	4	1	no	—
748	C₂²⋊C₄	—	4	1	no	—
749	C₄²	—	2	2	no	—
750	C₄²	—	2	2	no	—
751	C₄²	—	2	2	no	—
752	C₄²	—	2	2	no	—
753	C₄²	—	2	2	no	—
754	C₄²	—	2	2	no	—
755	C₄²	—	2	2	no	—
756	C₄²	—	2	1	no	—
757	C₄²	—	2	1	no	—
758	C₄²	—	2	1	no	—
759	C₄²	—	2	1	no	—
760	C₄²	—	2	1	no	—
761	C₄²	—	2	1	no	—
762	C₄²	—	2	1	no	—
763	C₄²	—	2	1	no	—
764	C₄²	—	2	2	no	—
765	C₄²	—	2	2	no	—
766	C₄²	—	2	2	no	—
767	C₄²	—	2	2	no	—
768	C₄²	—	2	2	no	—
769	C₄²	—	2	2	no	—
770	C₄²	—	2	2	no	—
771	C₄²	—	2	2	no	—
772	C₄²	—	4	1	no	—
773	C₄²	—	4	1	no	—
774	C₄²	—	4	1	no	—
775	C₄²	—	4	1	no	—
776	C₄²	—	4	1	no	—
777	C₄²	—	4	1	no	—
778	C₄²	—	4	1	no	—
779	C₄²	—	4	1	no	—
780	C₄²	—	4	1	no	—
781	C₄²	—	4	1	no	—
782	C₄²	—	4	1	no	—
783	C₄²	—	4	1	no	—
784	C₄²	—	4	1	no	—
785	C₄²	—	4	1	no	—
786	C₄²	#131	1	4	yes	—
787	C₂³	—	2	1	no	—
788	C₂³	—	2	1	no	—
789	C₂³	—	2	1	no	—
790	C₂³	—	2	1	no	—
791	C₂³	—	2	1	no	—
792	C₂³	—	2	1	no	—
793	C₂³	—	2	1	no	—
794	C₂³	—	2	1	no	—
795	C₂³	—	2	1	no	—
796	C₂³	—	2	1	no	—
797	C₂³	—	2	1	no	—
798	C₂³	—	2	1	no	—
799	C₂³	—	2	1	no	—
800	C₂³	—	2	1	no	—
801	C₂³	—	2	1	no	—
802	C₂³	—	2	1	no	—
803	C₂³	—	2	1	no	—
804	C₂³	—	2	1	no	—
805	C₂³	—	2	1	no	—
806	C₂³	#520	1	2	yes	—
807	C₂³	#568	1	2	yes	—
808	C₂³	C₂⁴×C₄	1	1	yes	characteristic
809	Q₈	—	4	4	no	—
810	D₄	—	2	8	no	—
811	D₄	—	4	4	no	—
812	D₄	—	4	4	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	4	no	—
826	C₂×C₄	—	2	4	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	4	4	no	—
891	C₂×C₄	—	4	4	no	—
892	C₂×C₄	—	4	2	no	—
893	C₂×C₄	—	4	2	no	—
894	C₂×C₄	—	4	2	no	—
895	C₂×C₄	—	4	2	no	—
896	C₂×C₄	—	8	2	no	—
897	C₂×C₄	—	8	2	no	—
898	C₂×C₄	—	8	2	no	—
899	C₂×C₄	—	8	2	no	—
900	C₂×C₄	#520	1	2	yes	—
901	C₂×C₄	C₂×#131	1	2	yes	—
902	C₂×C₄	C₂×#131	1	2	yes	—
903	C₂×C₄	C₂×#131	1	2	yes	—
904	C₂×C₄	#568	1	2	yes	—
905	C₂×C₄	#568	1	2	yes	—
906	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
907	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
908	C₂×C₄	#585	1	2	yes	—
909	C₂×C₄	#585	1	2	yes	—
910	C₈	—	4	2	no	—
911	C₈	—	4	2	no	—
912	C₈	—	4	2	no	—
913	C₈	—	4	2	no	—
914	C₈	—	4	2	no	—
915	C₈	—	4	2	no	—
916	C₈	—	4	2	no	—
917	C₈	—	4	2	no	—
918	C₂²	—	2	2	no	—
919	C₂²	—	2	2	no	—
920	C₂²	—	2	2	no	—
921	C₂²	—	2	2	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	4	1	no	—
925	C₂²	—	4	1	no	—
926	C₂²	—	4	1	no	—
927	C₂²	—	4	1	no	—
928	C₂²	—	4	1	no	—
929	C₂²	—	4	1	no	—
930	C₂²	—	4	1	no	—
931	C₂²	—	4	1	no	—
932	C₂²	—	4	1	no	—
933	C₂²	—	4	1	no	—
934	C₂²	—	4	1	no	—
935	C₂²	—	4	1	no	—
936	C₂²	—	4	1	no	—
937	C₂²	—	4	1	no	—
938	C₂²	—	4	1	no	—
939	C₂²	C₂×#520	1	1	yes	characteristic
940	C₂²	#3428	1	1	yes	characteristic
941	C₂²	#3428	1	1	yes	characteristic
942	C₂²	C₂²×#131	1	1	yes	characteristic
943	C₂²	C₂×#568	1	1	yes	characteristic
944	C₂²	C₂×#568	1	1	yes	characteristic
945	C₂²	C₂×#568	1	1	yes	characteristic
946	C₄	—	2	2	no	—
947	C₄	—	2	2	no	—
948	C₄	—	2	2	no	—
949	C₄	—	2	2	no	—
950	C₄	—	2	2	no	—
951	C₄	—	2	2	no	—
952	C₄	—	4	1	no	—
953	C₄	—	4	1	no	—
954	C₄	—	4	1	no	—
955	C₄	—	4	1	no	—
956	C₄	—	4	1	no	—
957	C₄	—	4	1	no	—
958	C₄	—	4	1	no	—
959	C₄	—	4	1	no	—
960	C₄	—	4	1	no	—
961	C₄	—	4	1	no	—
962	C₄	—	4	1	no	—
963	C₄	—	4	1	no	—
964	C₄	—	4	1	no	—
965	C₄	—	4	1	no	—
966	C₄	—	4	1	no	—
967	C₄	—	4	1	no	—
968	C₄	—	4	1	no	—
969	C₄	—	4	1	no	—
970	C₄	—	4	1	no	—
971	C₄	—	4	1	no	—
972	C₄	—	4	1	no	—
973	C₄	#3560	1	2	yes	—
974	C₄	#3564	1	2	yes	—
975	C₂	—	4	2	no	—
976	C₂	—	4	2	no	—
977	C₂	—	8	1	no	—
978	C₂	#34401	1	1	yes	characteristic
979	C₂	#60265	1	1	yes	characteristic
980	C₂	#60266	1	1	yes	characteristic
981	C₂	#60279	1	1	yes	characteristic
982	C₂	#60285	1	1	yes	characteristic
983	C₂	#60290	1	1	yes	characteristic
984	C₂	#60291	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#392	C₂×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #23382	C₂	semidirect
3. #23379	C₂	semidirect
4. #22911	C₂	semidirect
5. #22909	C₂	semidirect
6. #22788	C₂	semidirect
7. #22786	C₂	semidirect
8. #22698	C₂	semidirect
9. #22696	C₂	semidirect
10. #22641	C₂	semidirect
11. #22639	C₂	semidirect
12. #22591	C₂	semidirect
13. #22590	C₂	semidirect
14. #22392	C₂	semidirect
15. #22378	C₂	semidirect
16. #22294	C₂	semidirect
18. #22024	C₂	semidirect
19. #22018	C₂	semidirect
20. #22000	C₂	semidirect
21. #21998	C₂	semidirect
22. #20813	C₂	semidirect
23. #20774	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34551	2
#23382	2
#23379	2
#22911	2
#22909	2
#22788	2
#22786	2
#22698	2
#22696	2
#22641	2
#22639	2
#22591	2
#22590	2
#22392	2
#22378	2
#22294	2
#22173	2
#22024	2
#22018	2
#22000	2
#21998	2
#20813	2
#20774	2