Subgroups — #7047695

Order 512.

1364 conjugacy classes of subgroups.

The subgroup lattice has 1230 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59627	C₂	1	1	yes	maximal, characteristic
2	#59253	C₂	1	1	yes	maximal, characteristic, complemented
3	#32058	C₂	1	1	yes	maximal, characteristic, complemented
4	#31905	C₂	1	1	yes	maximal, characteristic, complemented
5	#31750	C₂	1	1	yes	maximal, characteristic, complemented
6	#31677	C₂	1	1	yes	maximal, characteristic, complemented
7	#31657	C₂	1	1	yes	maximal, characteristic, complemented
8	#30785	C₂	1	1	yes	maximal, characteristic, complemented
9	#30682	C₂	1	1	yes	maximal, characteristic, complemented
10	#30518	C₂	1	1	yes	maximal, characteristic
11	#28884	C₂	1	1	yes	maximal, characteristic, complemented
12	#28124	C₂	1	1	yes	maximal, characteristic, complemented
13	#27801	C₂	1	1	yes	maximal, characteristic, complemented
14	#27633	C₂	1	1	yes	maximal, characteristic, complemented
15	#27225	C₂	1	1	yes	maximal, characteristic, complemented
16	#27223	C₂	1	1	yes	maximal, characteristic, complemented
17	#27221	C₂	1	1	yes	maximal, characteristic, complemented
18	#27156	C₂	1	1	yes	maximal, characteristic, complemented
19	#27155	C₂	1	1	yes	maximal, characteristic, complemented
20	#26806	C₂	1	1	yes	maximal, characteristic, complemented
21	#26749	C₂	1	1	yes	maximal, characteristic, complemented
22	#26670	C₂	1	1	yes	maximal, characteristic, complemented
23	#26242	C₂	1	1	yes	maximal, characteristic
24	#25459	C₂	1	1	yes	maximal, characteristic, complemented
25	#25225	C₂	1	1	yes	maximal, characteristic, complemented
26	#24951	C₂	1	1	yes	maximal, characteristic, complemented
27	#23765	C₂	1	1	yes	maximal, characteristic, complemented
28	#23144	C₂	1	1	yes	maximal, characteristic, complemented
29	#23070	C₂	1	1	yes	maximal, characteristic, complemented
30	#22363	C₂	1	1	yes	maximal, characteristic, complemented
31	#22047	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#499	C₂²	1	1	yes	characteristic
33	C₂×#481	C₂²	1	1	yes	characteristic
34	C₂×#483	C₂²	1	1	yes	characteristic
35	C₂×#479	C₂²	1	1	yes	characteristic
36	C₂×#479	C₂²	1	1	yes	characteristic
37	C₂×#470	C₂²	1	1	yes	characteristic
38	C₂×#468	C₂²	1	1	yes	characteristic
39	C₂×#451	C₂²	1	1	yes	characteristic
40	C₂×#448	C₂²	1	1	yes	characteristic
41	#2797	—	2	1	no	—
42	#2796	—	2	1	no	—
43	#2764	—	2	1	no	—
44	#2758	—	2	1	no	—
45	#2612	—	2	1	no	—
46	#2602	—	2	1	no	—
47	#2596	—	2	1	no	—
48	#2565	C₂²	1	1	yes	characteristic
49	#2540	C₂²	1	1	yes	characteristic
50	#2527	—	2	1	no	—
51	#2517	—	2	1	no	—
52	#2516	—	2	1	no	—
53	#2514	C₂²	1	1	yes	characteristic
54	#2513	—	2	1	no	—
55	#2511	C₂²	1	1	yes	characteristic
56	#2505	—	2	1	no	—
57	#2503	C₂²	1	1	yes	characteristic
58	#2493	—	2	1	no	—
59	#2490	C₂²	1	1	yes	characteristic
60	#2490	C₂²	1	1	yes	characteristic
61	#2489	C₂²	1	1	yes	characteristic
62	#2489	C₂²	1	1	yes	characteristic
63	#2489	C₂²	1	1	yes	characteristic
64	#2485	C₂²	1	1	yes	characteristic
65	#2448	C₂²	1	1	yes	characteristic
66	#2447	C₂²	1	1	yes	characteristic
67	#2442	C₂²	1	1	yes	characteristic
68	#2421	C₂²	1	1	yes	characteristic
69	#2419	—	2	1	no	—
70	#2409	C₂²	1	1	yes	characteristic
71	#2370	C₂²	1	1	yes	characteristic
72	#2370	C₂²	1	1	yes	characteristic
73	#2363	C₂²	1	1	yes	characteristic
74	#2362	C₂²	1	1	yes	characteristic
75	#2360	C₂²	1	1	yes	characteristic
76	#2357	—	2	1	no	—
77	#2356	C₂²	1	1	yes	characteristic
78	#2353	—	2	1	no	—
79	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
81	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
82	C₄×#123	C₂²	1	1	yes	characteristic
83	C₄×#121	C₂²	1	1	yes	characteristic
84	C₂×#391	C₂²	1	1	yes	characteristic
85	#2283	C₂²	1	1	yes	characteristic
86	#2101	C₂²	1	1	yes	characteristic
87	#2100	C₂²	1	1	yes	characteristic
88	#2097	C₂²	1	1	yes	characteristic
89	#2097	C₂²	1	1	yes	characteristic
90	#2085	C₂²	1	1	yes	characteristic
91	#2083	C₂²	1	1	yes	characteristic
92	#2077	C₂²	1	1	yes	characteristic
93	#2077	C₂²	1	1	yes	characteristic
94	#2076	C₂²	1	1	yes	characteristic
95	#2075	C₂²	1	1	yes	characteristic
96	#2074	C₂²	1	1	yes	characteristic
97	#2073	C₂²	1	1	yes	characteristic
98	#2068	C₂²	1	1	yes	characteristic
99	#2068	C₂²	1	1	yes	characteristic
100	#2067	C₂²	1	1	yes	characteristic
101	#2066	C₂²	1	1	yes	characteristic
102	#2066	C₂²	1	1	yes	characteristic
103	#2066	C₂²	1	1	yes	characteristic
104	#2059	C₂²	1	1	yes	characteristic
105	#2059	C₂²	1	1	yes	characteristic
106	#2056	C₂²	1	1	yes	characteristic
107	#2056	C₂²	1	1	yes	characteristic
108	#2056	C₂²	1	1	yes	characteristic
109	#2055	C₂²	1	1	yes	characteristic
110	#2036	C₂²	1	1	yes	characteristic
111	#2036	C₂²	1	1	yes	characteristic
112	#2036	C₂²	1	1	yes	characteristic
113	#2035	C₂²	1	1	yes	characteristic
114	#2035	C₂²	1	1	yes	characteristic
115	#2034	C₂²	1	1	yes	characteristic
116	#2034	C₂²	1	1	yes	characteristic
117	#2033	C₂²	1	1	yes	characteristic
118	#2026	C₂²	1	1	yes	characteristic
119	#2026	C₂²	1	1	yes	characteristic
120	#2026	C₂²	1	1	yes	characteristic
121	#2025	C₂²	1	1	yes	characteristic
122	#2015	C₂²	1	1	yes	characteristic
123	#2015	C₂²	1	1	yes	characteristic
124	#2001	C₂²	1	1	yes	characteristic
125	#2000	C₂²	1	1	yes	characteristic
126	#1991	C₂²	1	1	yes	characteristic
127	#1989	C₂²	1	1	yes	characteristic
128	#1983	C₂²	1	1	yes	characteristic
129	#1973	C₂²	1	1	yes	characteristic
130	#1973	C₂²	1	1	yes	characteristic
131	#1969	C₂²	1	1	yes	characteristic
132	#1968	C₂²	1	1	yes	characteristic
133	#1959	C₂²	1	1	yes	characteristic
134	#1955	C₂²	1	1	yes	characteristic
135	#1949	C₂²	1	1	yes	characteristic
136	#1949	C₂²	1	1	yes	characteristic
137	#1949	C₂²	1	1	yes	characteristic
138	#1948	C₂²	1	1	yes	characteristic
139	#1939	C₂²	1	1	yes	characteristic
140	#1935	C₂²	1	1	yes	characteristic
141	#1935	C₂²	1	1	yes	characteristic
142	#1935	C₂²	1	1	yes	characteristic
143	#1935	C₂²	1	1	yes	characteristic
144	#1934	C₂²	1	1	yes	characteristic
145	#1933	C₂²	1	1	yes	characteristic
146	#1928	C₂²	1	1	yes	characteristic
147	#1928	C₂²	1	1	yes	characteristic
148	#1928	C₂²	1	1	yes	characteristic
149	#1928	C₂²	1	1	yes	characteristic
150	#1927	C₂²	1	1	yes	characteristic
151	#1927	C₂²	1	1	yes	characteristic
152	#1927	C₂²	1	1	yes	characteristic
153	#1927	C₂²	1	1	yes	characteristic
154	#1926	C₂²	1	1	yes	characteristic
155	#1925	C₂²	1	1	yes	characteristic
156	#1924	C₂²	1	1	yes	characteristic
157	#1923	C₂²	1	1	yes	characteristic
158	#1923	C₂²	1	1	yes	characteristic
159	#1923	C₂²	1	1	yes	characteristic
160	#1921	C₂²	1	1	yes	characteristic
161	#1921	C₂²	1	1	yes	characteristic
162	#1920	C₂²	1	1	yes	characteristic
163	#1920	C₂²	1	1	yes	characteristic
164	#1919	C₂²	1	1	yes	characteristic
165	#1919	C₂²	1	1	yes	characteristic
166	#1917	C₂²	1	1	yes	characteristic
167	#1917	C₂²	1	1	yes	characteristic
168	#1880	C₂²	1	1	yes	characteristic
169	#1880	C₂²	1	1	yes	characteristic
170	#1878	C₂²	1	1	yes	characteristic
171	#1878	C₂²	1	1	yes	characteristic
172	#1878	C₂²	1	1	yes	characteristic
173	#1878	C₂²	1	1	yes	characteristic
174	#1877	C₂²	1	1	yes	characteristic
175	#1877	C₂²	1	1	yes	characteristic
176	#1874	C₂²	1	1	yes	characteristic
177	#1873	C₂²	1	1	yes	characteristic
178	#1873	C₂²	1	1	yes	characteristic
179	#1872	C₂²	1	1	yes	characteristic
180	#1870	C₂²	1	1	yes	characteristic
181	#1852	C₂²	1	1	yes	characteristic
182	#1852	C₂²	1	1	yes	characteristic
183	#1851	C₂²	1	1	yes	characteristic
184	#1825	C₂²	1	1	yes	characteristic
185	#1823	C₂²	1	1	yes	characteristic
186	#1809	C₂²	1	1	yes	characteristic
187	#1804	C₂²	1	1	yes	characteristic
188	#1804	C₂²	1	1	yes	characteristic
189	#1797	C₂²	1	1	yes	characteristic
190	#1787	C₂²	1	1	yes	characteristic
191	#1787	C₂²	1	1	yes	characteristic
192	#1776	C₂²	1	1	yes	characteristic
193	#1776	C₂²	1	1	yes	characteristic
194	#1776	C₂²	1	1	yes	characteristic
195	#1770	C₂²	1	1	yes	characteristic
196	#1763	C₂²	1	1	yes	characteristic
197	#1763	C₂²	1	1	yes	characteristic
198	C₄×#103	C₂²	1	1	yes	characteristic
199	C₄×#103	C₂²	1	1	yes	characteristic
200	#1753	C₂²	1	1	yes	characteristic
201	#1749	C₂²	1	1	yes	characteristic
202	#1736	C₂²	1	1	yes	characteristic
203	C₂³×Q₈	C₂³	1	1	yes	characteristic
204	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂×#125	C₂³	1	1	yes	characteristic
210	C₂×#125	C₂³	1	1	yes	characteristic
211	C₂×#125	C₂³	1	1	yes	characteristic
212	C₂×#124	C₂³	1	1	yes	characteristic
213	C₂×#123	D₄	1	1	yes	characteristic
214	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂×#121	C₂³	1	1	yes	characteristic
219	C₂×#121	C₂³	1	1	yes	characteristic
220	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₄	—	2	1	no	—
224	C₂×C₄×D₄	—	2	1	no	—
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂×#117	C₂³	1	1	yes	characteristic
228	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂²×C₄²	C₂³	1	1	yes	characteristic
231	#499	—	4	2	no	—
232	#483	—	4	2	no	—
233	#481	—	4	2	no	—
234	#479	—	2	4	no	—
235	#479	—	4	2	no	—
236	#470	—	2	4	no	—
237	#468	—	4	2	no	—
238	#451	—	4	2	no	—
239	#448	—	2	4	no	—
240	C₂×#107	C₂³	1	1	yes	characteristic
241	C₂×#107	C₂³	1	1	yes	characteristic
242	C₂×#107	C₂³	1	1	yes	characteristic
243	C₂×#107	C₂³	1	1	yes	characteristic
244	C₂×#107	C₂³	1	1	yes	characteristic
245	C₂×#107	C₂³	1	1	yes	characteristic
246	C₂×#106	C₂³	1	1	yes	characteristic
247	C₂×#106	C₂³	1	1	yes	characteristic
248	C₂×#106	C₂³	1	1	yes	characteristic
249	C₂×#106	C₂³	1	1	yes	characteristic
250	C₂×#106	C₂³	1	1	yes	characteristic
251	C₂×#106	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×#103	C₂³	1	1	yes	characteristic
258	C₂×#103	C₂³	1	1	yes	characteristic
259	C₂×#103	C₂³	1	1	yes	characteristic
260	C₂×#103	C₂³	1	1	yes	characteristic
261	C₂×#103	C₂³	1	1	yes	characteristic
262	C₂×#103	C₂³	1	1	yes	characteristic
263	C₂×#103	C₂³	1	1	yes	characteristic
264	C₂×#103	C₂³	1	1	yes	characteristic
265	C₂×#103	C₂³	1	1	yes	characteristic
266	C₂×#103	C₂³	1	1	yes	characteristic
267	C₂×#103	C₂³	1	1	yes	characteristic
268	C₂×#103	C₂³	1	1	yes	characteristic
269	C₂×#103	C₂³	1	1	yes	characteristic
270	C₂×#103	C₂³	1	1	yes	characteristic
271	C₂×#103	C₂³	1	1	yes	characteristic
272	C₂×#103	C₂³	1	1	yes	characteristic
273	C₂×#103	C₂³	1	1	yes	characteristic
274	C₂×#103	C₂³	1	1	yes	characteristic
275	C₂×#102	C₂³	1	1	yes	characteristic
276	C₂×#102	C₂³	1	1	yes	characteristic
277	C₂×#102	C₂³	1	1	yes	characteristic
278	C₂×#102	C₂³	1	1	yes	characteristic
279	C₂×#102	C₂³	1	1	yes	characteristic
280	C₂×#102	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×#97	C₂³	1	1	yes	characteristic
289	C₂×#97	C₂³	1	1	yes	characteristic
290	C₂×#97	C₂³	1	1	yes	characteristic
291	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
293	#401	—	2	1	no	—
294	#400	—	2	1	no	—
295	#400	—	2	1	no	—
296	#400	—	2	1	no	—
297	#400	—	2	1	no	—
298	#400	—	2	1	no	—
299	#400	—	2	1	no	—
300	#400	—	2	1	no	—
301	#400	—	2	1	no	—
302	#400	—	2	1	no	—
303	#400	—	2	1	no	—
304	#399	—	2	1	no	—
305	#399	—	2	1	no	—
306	#398	—	2	1	no	—
307	#398	—	2	1	no	—
308	#398	—	2	1	no	—
309	#397	—	2	1	no	—
310	#397	—	2	1	no	—
311	#397	—	2	1	no	—
312	#397	—	2	1	no	—
313	#397	—	2	1	no	—
314	#397	—	2	1	no	—
315	#397	—	2	1	no	—
316	#397	—	2	1	no	—
317	#397	—	2	1	no	—
318	#397	—	2	1	no	—
319	#395	—	2	1	no	—
320	#394	—	2	1	no	—
321	#394	—	2	1	no	—
322	#394	—	2	1	no	—
323	#393	—	2	1	no	—
324	#392	—	2	1	no	—
325	#391	—	2	1	no	—
326	#391	—	2	1	no	—
327	#391	—	2	1	no	—
328	#391	—	2	1	no	—
329	#391	C₂³	1	1	yes	characteristic
330	#391	C₂³	1	1	yes	characteristic
331	#391	C₂³	1	1	yes	characteristic
332	#391	C₂³	1	1	yes	characteristic
333	#391	C₂³	1	1	yes	characteristic
334	#391	C₂³	1	1	yes	characteristic
335	#391	C₂³	1	1	yes	characteristic
336	#391	C₂³	1	1	yes	characteristic
337	#391	C₂³	1	1	yes	characteristic
338	#391	C₂³	1	1	yes	characteristic
339	#391	C₂³	1	1	yes	characteristic
340	#390	—	2	1	no	—
341	#390	—	2	1	no	—
342	#390	—	2	1	no	—
343	#390	—	2	1	no	—
344	#390	—	2	1	no	—
345	#390	C₂³	1	1	yes	characteristic
346	#390	C₂³	1	1	yes	characteristic
347	#390	C₂³	1	1	yes	characteristic
348	#389	—	2	1	no	—
349	#389	—	2	1	no	—
350	#389	—	2	1	no	—
351	#389	—	2	1	no	—
352	#389	C₂³	1	1	yes	characteristic
353	#389	C₂³	1	1	yes	characteristic
354	#389	C₂³	1	1	yes	characteristic
355	#389	C₂³	1	1	yes	characteristic
356	#389	C₂³	1	1	yes	characteristic
357	#389	C₂³	1	1	yes	characteristic
358	#388	—	2	1	no	—
359	#388	—	2	1	no	—
360	#388	—	2	1	no	—
361	#388	—	2	1	no	—
362	#388	—	2	1	no	—
363	#388	—	2	1	no	—
364	#388	—	2	1	no	—
365	#388	—	2	1	no	—
366	#388	—	2	1	no	—
367	#388	—	2	1	no	—
368	#388	—	2	1	no	—
369	#388	—	2	1	no	—
370	#388	—	2	1	no	—
371	#388	D₄	1	1	yes	characteristic
372	#388	D₄	1	1	yes	characteristic
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#387	—	2	1	no	—
376	#387	—	2	1	no	—
377	#387	—	2	1	no	—
378	#387	—	2	1	no	—
379	#387	—	2	1	no	—
380	#387	—	2	1	no	—
381	#387	—	2	1	no	—
382	#387	—	2	1	no	—
383	#387	—	2	1	no	—
384	#387	—	2	1	no	—
385	#387	—	2	1	no	—
386	#387	—	2	1	no	—
387	#387	—	2	1	no	—
388	#387	—	2	1	no	—
389	#387	D₄	1	1	yes	characteristic
390	#387	D₄	1	1	yes	characteristic
391	#386	—	2	1	no	—
392	#386	—	2	1	no	—
393	#386	—	2	1	no	—
394	#386	D₄	1	1	yes	characteristic
395	#385	—	2	1	no	—
396	#385	—	2	1	no	—
397	#385	—	2	1	no	—
398	#385	—	2	1	no	—
399	#385	—	2	1	no	—
400	#385	—	2	1	no	—
401	#385	—	2	1	no	—
402	#385	D₄	1	1	yes	characteristic
403	#384	C₂³	1	1	yes	characteristic
404	#383	—	2	1	no	—
405	#383	—	2	1	no	—
406	#383	—	2	1	no	—
407	#382	—	2	1	no	—
408	#382	—	2	1	no	—
409	#382	—	2	1	no	—
410	#382	C₂³	1	1	yes	characteristic
411	#382	C₂³	1	1	yes	characteristic
412	#382	C₂³	1	1	yes	characteristic
413	#381	—	2	1	no	—
414	#381	—	2	1	no	—
415	#381	—	2	1	no	—
416	#381	—	2	1	no	—
417	#381	D₄	1	1	yes	characteristic
418	#380	—	2	1	no	—
419	#380	—	2	1	no	—
420	#380	C₂³	1	1	yes	characteristic
421	#380	C₂³	1	1	yes	characteristic
422	#380	C₂³	1	1	yes	characteristic
423	#380	C₂³	1	1	yes	characteristic
424	#380	C₂³	1	1	yes	characteristic
425	#380	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	—	2	1	no	—
427	C₄×C₄⋊C₄	—	2	1	no	—
428	C₄×C₄⋊C₄	—	2	1	no	—
429	C₄×C₄⋊C₄	—	2	1	no	—
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	—	2	1	no	—
441	C₄×C₂²⋊C₄	—	2	1	no	—
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	—	2	1	no	—
444	C₄×C₂²⋊C₄	—	2	1	no	—
445	C₄×C₂²⋊C₄	—	2	1	no	—
446	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	#376	—	2	1	no	—
450	#376	—	2	1	no	—
451	C₂×#95	—	2	1	no	—
452	C₂×#95	—	2	1	no	—
453	#340	C₂³	1	1	yes	characteristic
454	#340	C₂³	1	1	yes	characteristic
455	#340	C₂³	1	1	yes	characteristic
456	#340	C₂³	1	1	yes	characteristic
457	#340	C₂³	1	1	yes	characteristic
458	#340	C₂³	1	1	yes	characteristic
459	#340	C₂³	1	1	yes	characteristic
460	#340	C₂³	1	1	yes	characteristic
461	#340	C₂³	1	1	yes	characteristic
462	#340	C₂³	1	1	yes	characteristic
463	#340	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	C₂²×Q₈	—	2	1	no	—
488	C₂²×Q₈	—	2	2	no	—
489	C₂²×Q₈	—	4	1	no	—
490	C₂²×Q₈	—	4	1	no	—
491	C₂²×Q₈	—	4	1	no	—
492	C₂²×Q₈	—	4	1	no	—
493	C₂²×Q₈	—	4	1	no	—
494	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
495	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×D₄	—	2	1	no	—
498	C₂²×D₄	—	2	1	no	—
499	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
500	C₂²×D₄	C₂⁴	1	1	yes	characteristic
501	C₂³×C₄	—	2	1	no	—
502	C₂³×C₄	—	2	1	no	—
503	C₂³×C₄	—	2	1	no	—
504	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
507	C₂³×C₄	C₂⁴	1	1	yes	characteristic
508	C₂³×C₄	C₂⁴	1	1	yes	characteristic
509	C₂×Q₁₆	—	2	2	no	—
510	C₂×Q₁₆	—	4	1	no	—
511	C₂×Q₁₆	—	4	1	no	—
512	C₂×Q₁₆	—	4	1	no	—
513	C₂×Q₁₆	—	4	1	no	—
514	C₂×Q₁₆	—	4	1	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	2	2	no	—
517	C₂×SD₁₆	—	4	1	no	—
518	C₂×SD₁₆	—	4	1	no	—
519	C₂×SD₁₆	—	4	1	no	—
520	C₂×SD₁₆	—	4	1	no	—
521	C₂×M₁₆	—	2	2	no	—
522	C₂×M₁₆	—	4	1	no	—
523	C₂×M₁₆	—	4	1	no	—
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	#125	—	2	2	no	—
533	#125	—	2	2	no	—
534	#125	—	4	1	no	—
535	#125	—	4	1	no	—
536	#125	—	4	1	no	—
537	#125	—	4	1	no	—
538	#124	—	4	1	no	—
539	#124	—	4	1	no	—
540	#123	—	4	2	no	—
541	C₂²⋊Q₈	—	2	2	no	—
542	C₂²⋊Q₈	—	2	2	no	—
543	C₂²⋊Q₈	—	2	2	no	—
544	C₂²⋊Q₈	—	4	1	no	—
545	C₂²⋊Q₈	—	4	1	no	—
546	C₂²⋊Q₈	—	4	1	no	—
547	C₂²⋊Q₈	—	4	1	no	—
548	C₂²⋊Q₈	—	4	1	no	—
549	#121	—	2	2	no	—
550	#121	—	2	2	no	—
551	#121	—	4	1	no	—
552	#121	—	4	1	no	—
553	C₄×Q₈	—	2	2	no	—
554	C₄×Q₈	—	4	1	no	—
555	C₄×Q₈	—	4	1	no	—
556	C₄×Q₈	—	4	1	no	—
557	C₄×Q₈	—	4	1	no	—
558	C₄×Q₈	—	4	1	no	—
559	C₄×D₄	—	4	1	no	—
560	C₄×D₄	—	4	1	no	—
561	C₄×D₄	—	4	1	no	—
562	C₄×D₄	—	4	1	no	—
563	C₄×D₄	—	4	4	no	—
564	C₄×D₄	—	4	4	no	—
565	#117	—	4	1	no	—
566	#117	—	4	1	no	—
567	C₂×C₄⋊C₄	—	2	1	no	—
568	C₂×C₄⋊C₄	—	2	1	no	—
569	C₂×C₄⋊C₄	—	2	1	no	—
570	C₂×C₄⋊C₄	—	2	1	no	—
571	C₂×C₄⋊C₄	—	2	1	no	—
572	C₂×C₄⋊C₄	—	2	1	no	—
573	C₂×C₄⋊C₄	—	2	1	no	—
574	C₂×C₄⋊C₄	—	2	1	no	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	no	—
579	C₂×C₄⋊C₄	—	2	1	no	—
580	C₂×C₄⋊C₄	—	2	1	no	—
581	C₂×C₄⋊C₄	—	2	1	no	—
582	C₂×C₄⋊C₄	—	2	1	no	—
583	C₂×C₄⋊C₄	—	2	1	no	—
584	C₂×C₄⋊C₄	—	2	1	no	—
585	C₂×C₄⋊C₄	—	2	1	no	—
586	C₂×C₄⋊C₄	—	2	1	no	—
587	C₂×C₄⋊C₄	—	2	1	no	—
588	C₂×C₄⋊C₄	—	2	1	no	—
589	C₂×C₄⋊C₄	—	2	1	no	—
590	C₂×C₄⋊C₄	—	4	1	no	—
591	C₂×C₄⋊C₄	—	4	1	no	—
592	C₂×C₄⋊C₄	—	4	1	no	—
593	C₂×C₄⋊C₄	—	4	1	no	—
594	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₂×C₂²⋊C₄	—	2	1	no	—
612	C₂×C₂²⋊C₄	—	2	1	no	—
613	C₂×C₂²⋊C₄	—	2	1	no	—
614	C₂×C₂²⋊C₄	—	2	1	no	—
615	C₂×C₂²⋊C₄	—	2	1	no	—
616	C₂×C₂²⋊C₄	—	2	1	no	—
617	C₂×C₂²⋊C₄	—	2	1	no	—
618	C₂×C₂²⋊C₄	—	2	1	no	—
619	C₂×C₂²⋊C₄	—	2	1	no	—
620	C₂×C₂²⋊C₄	—	2	1	no	—
621	C₂×C₂²⋊C₄	—	2	1	no	—
622	C₂×C₂²⋊C₄	—	2	1	no	—
623	C₂×C₂²⋊C₄	—	2	1	no	—
624	C₂×C₂²⋊C₄	—	2	1	no	—
625	C₂×C₂²⋊C₄	—	2	1	no	—
626	C₂×C₂²⋊C₄	—	2	1	no	—
627	C₂×C₂²⋊C₄	—	2	1	no	—
628	C₂×C₂²⋊C₄	—	2	1	no	—
629	C₂×C₂²⋊C₄	—	2	1	no	—
630	C₂×C₂²⋊C₄	—	2	1	no	—
631	C₂×C₂²⋊C₄	—	2	1	no	—
632	C₂×C₂²⋊C₄	—	2	1	no	—
633	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄²	—	2	1	no	—
642	C₂×C₄²	—	2	1	no	—
643	C₂×C₄²	—	2	1	no	—
644	C₂×C₄²	—	2	1	no	—
645	C₂×C₄²	—	2	1	no	—
646	C₂×C₄²	—	2	1	no	—
647	C₂×C₄²	—	2	1	no	—
648	C₂×C₄²	—	2	1	no	—
649	C₂×C₄²	—	2	1	no	—
650	C₂×C₄²	—	2	1	no	—
651	C₂×C₄²	—	2	1	no	—
652	C₂×C₄²	—	2	1	no	—
653	C₂×C₄²	—	4	1	no	—
654	C₂×C₄²	—	4	1	no	—
655	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
656	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
662	#107	—	2	2	no	—
663	#107	—	2	2	no	—
664	#107	—	4	1	no	—
665	#107	—	4	1	no	—
666	#107	—	4	1	no	—
667	#107	—	4	1	no	—
668	#106	—	2	2	no	—
669	#106	—	2	2	no	—
670	#106	—	2	2	no	—
671	#106	—	2	2	no	—
672	#106	—	2	2	no	—
673	#106	—	4	1	no	—
674	C₄⋊C₈	—	2	2	no	—
675	C₄⋊C₈	—	4	1	no	—
676	C₄⋊C₈	—	4	1	no	—
677	C₄⋊C₈	—	4	1	no	—
678	C₄⋊C₈	—	4	1	no	—
679	#103	—	2	2	no	—
680	#103	—	2	2	no	—
681	#103	—	2	2	no	—
682	#103	—	2	2	no	—
683	#103	—	2	2	no	—
684	#103	—	4	1	no	—
685	#103	—	4	1	no	—
686	#103	—	4	1	no	—
687	#103	—	4	1	no	—
688	#103	—	4	1	no	—
689	#103	—	4	1	no	—
690	#103	—	4	1	no	—
691	#103	—	4	1	no	—
692	#103	—	4	1	no	—
693	#103	—	4	1	no	—
694	#103	—	4	1	no	—
695	#103	—	4	1	no	—
696	#103	#41	1	4	yes	—
697	#102	—	4	1	no	—
698	#102	—	4	1	no	—
699	#102	—	4	1	no	—
700	#102	—	4	1	no	—
701	#102	—	4	1	no	—
702	#102	—	4	1	no	—
703	C₂²⋊C₈	—	2	2	no	—
704	C₂²⋊C₈	—	4	1	no	—
705	C₂²⋊C₈	—	4	1	no	—
706	C₂²⋊C₈	—	4	1	no	—
707	C₂²⋊C₈	—	4	1	no	—
708	C₂²⋊C₈	—	4	1	no	—
709	C₂²⋊C₈	—	4	1	no	—
710	#97	—	4	1	no	—
711	#97	—	4	1	no	—
712	#97	—	4	1	no	—
713	C₄×C₈	—	4	1	no	—
714	C₄×C₈	—	4	1	no	—
715	#95	—	2	1	no	—
716	#95	—	2	1	no	—
717	#95	—	2	1	no	—
718	#95	—	2	1	no	—
719	#95	—	2	1	no	—
720	#95	—	2	1	no	—
721	#95	—	2	1	no	—
722	#95	—	2	1	no	—
723	#95	—	2	1	no	—
724	#95	—	2	1	no	—
725	#95	—	2	1	no	—
726	#95	—	2	1	no	—
727	#95	—	2	1	no	—
728	#95	—	2	1	no	—
729	#95	—	2	1	no	—
730	#95	—	2	1	no	—
731	#95	—	2	1	no	—
732	#95	—	2	1	no	—
733	#95	—	2	1	no	—
734	#95	—	2	1	no	—
735	#95	—	2	1	no	—
736	#95	—	2	1	no	—
737	#95	—	2	1	no	—
738	#95	—	2	1	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	—	2	1	no	—
746	#95	—	2	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	—	2	1	no	—
752	#95	—	2	1	no	—
753	#95	—	2	1	no	—
754	#95	—	2	1	no	—
755	#95	—	2	1	no	—
756	#95	—	2	1	no	—
757	#95	—	2	1	no	—
758	#95	—	2	1	no	—
759	#95	—	2	1	no	—
760	#95	—	2	1	no	—
761	#95	—	2	1	no	—
762	#95	—	2	1	no	—
763	#95	C₂×D₄	1	1	yes	characteristic
764	#95	C₂×D₄	1	1	yes	characteristic
765	#95	C₂×D₄	1	1	yes	characteristic
766	#95	C₂×D₄	1	1	yes	characteristic
767	#95	C₂×D₄	1	1	yes	characteristic
768	#95	C₂×D₄	1	1	yes	characteristic
769	#95	C₂×D₄	1	1	yes	characteristic
770	#95	C₂×D₄	1	1	yes	characteristic
771	#95	C₂×D₄	1	1	yes	characteristic
772	#95	C₂×D₄	1	1	yes	characteristic
773	C₂⁴	—	2	1	no	—
774	C₂⁴	C₂²×D₄	1	1	yes	characteristic
775	C₂⁴	C₂²×D₄	1	1	yes	characteristic
776	C₂×Q₈	—	2	1	no	—
777	C₂×Q₈	—	2	1	no	—
778	C₂×Q₈	—	2	1	no	—
779	C₂×Q₈	—	2	1	no	—
780	C₂×Q₈	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×Q₈	—	2	1	no	—
783	C₂×Q₈	—	2	1	no	—
784	C₂×Q₈	—	2	1	no	—
785	C₂×Q₈	—	2	1	no	—
786	C₂×Q₈	—	2	1	no	—
787	C₂×Q₈	—	2	1	no	—
788	C₂×Q₈	—	2	1	no	—
789	C₂×Q₈	—	2	1	no	—
790	C₂×Q₈	—	2	1	no	—
791	C₂×Q₈	—	2	1	no	—
792	C₂×Q₈	—	2	1	no	—
793	C₂×Q₈	—	4	2	no	—
794	C₂×Q₈	—	4	2	no	—
795	C₂×Q₈	—	8	1	no	—
796	C₂×Q₈	—	8	2	no	—
797	C₂×Q₈	—	8	2	no	—
798	C₂×Q₈	—	8	2	no	—
799	C₂×Q₈	—	8	2	no	—
800	C₂×Q₈	C₂×#41	1	2	yes	—
801	C₂×D₄	—	2	2	no	—
802	C₂×D₄	—	2	1	no	—
803	C₂×D₄	—	2	1	no	—
804	C₂×D₄	—	2	1	no	—
805	C₂×D₄	—	2	1	no	—
806	C₂×D₄	—	2	1	no	—
807	C₂×D₄	—	2	1	no	—
808	C₂×D₄	—	4	1	no	—
809	C₂×D₄	—	4	1	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂×D₄	—	4	2	no	—
812	C₂×D₄	—	4	2	no	—
813	C₂×D₄	—	8	1	no	—
814	C₂×D₄	—	8	1	no	—
815	C₂×D₄	—	8	1	no	—
816	C₂²×C₄	—	2	1	no	—
817	C₂²×C₄	—	2	1	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	1	no	—
821	C₂²×C₄	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	no	—
825	C₂²×C₄	—	2	1	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	8	1	no	—
855	C₂²×C₄	—	8	1	no	—
856	C₂²×C₄	—	8	1	no	—
857	C₂²×C₄	—	8	1	no	—
858	C₂²×C₄	—	8	1	no	—
859	C₂²×C₄	—	8	1	no	—
860	C₂²×C₄	—	8	1	no	—
861	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
862	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
863	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
864	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
865	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
866	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
867	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
868	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
869	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
870	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
871	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
872	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
873	C₂²×C₄	C₂⁵	1	1	yes	characteristic
874	Q₁₆	—	8	2	no	—
875	Q₁₆	—	8	2	no	—
876	SD₁₆	—	8	2	no	—
877	SD₁₆	—	8	2	no	—
878	M₁₆	—	8	2	no	—
879	C₂×C₈	—	2	1	no	—
880	C₂×C₈	—	2	1	no	—
881	C₂×C₈	—	2	1	no	—
882	C₂×C₈	—	2	1	no	—
883	C₂×C₈	—	2	1	no	—
884	C₂×C₈	—	2	1	no	—
885	C₂×C₈	—	2	1	no	—
886	C₂×C₈	—	2	1	no	—
887	C₂×C₈	—	2	1	no	—
888	C₂×C₈	—	2	1	no	—
889	C₂×C₈	—	2	1	no	—
890	C₂×C₈	—	2	1	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	1	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	C₂×#41	1	2	yes	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	1	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	1	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	4	1	no	—
926	C₄⋊C₄	—	4	1	no	—
927	C₄⋊C₄	—	4	1	no	—
928	C₄⋊C₄	—	4	1	no	—
929	C₄⋊C₄	—	4	1	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₄⋊C₄	—	4	2	no	—
934	C₄⋊C₄	—	4	2	no	—
935	C₄⋊C₄	—	4	2	no	—
936	C₄⋊C₄	—	4	2	no	—
937	C₄⋊C₄	—	4	2	no	—
938	C₄⋊C₄	—	4	2	no	—
939	C₄⋊C₄	—	4	2	no	—
940	C₄⋊C₄	—	8	1	no	—
941	C₄⋊C₄	—	8	1	no	—
942	C₄⋊C₄	—	8	1	no	—
943	C₄⋊C₄	—	8	1	no	—
944	C₄⋊C₄	—	8	1	no	—
945	C₄⋊C₄	—	8	1	no	—
946	C₄⋊C₄	—	8	1	no	—
947	C₄⋊C₄	—	8	1	no	—
948	C₄⋊C₄	—	8	1	no	—
949	C₄⋊C₄	—	8	1	no	—
950	C₄⋊C₄	—	8	1	no	—
951	C₄⋊C₄	—	8	1	no	—
952	C₄⋊C₄	—	8	1	no	—
953	C₄⋊C₄	C₂×#41	1	2	yes	—
954	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	4	1	no	—
957	C₂²⋊C₄	—	4	1	no	—
958	C₂²⋊C₄	—	4	1	no	—
959	C₂²⋊C₄	—	4	1	no	—
960	C₂²⋊C₄	—	4	1	no	—
961	C₂²⋊C₄	—	4	1	no	—
962	C₂²⋊C₄	—	4	1	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	4	2	no	—
966	C₂²⋊C₄	—	4	2	no	—
967	C₂²⋊C₄	—	4	2	no	—
968	C₂²⋊C₄	—	4	2	no	—
969	C₂²⋊C₄	—	4	2	no	—
970	C₂²⋊C₄	—	4	2	no	—
971	C₂²⋊C₄	—	4	2	no	—
972	C₂²⋊C₄	—	4	2	no	—
973	C₂²⋊C₄	—	8	1	no	—
974	C₂²⋊C₄	—	8	1	no	—
975	C₂²⋊C₄	—	8	1	no	—
976	C₂²⋊C₄	—	8	1	no	—
977	C₂²⋊C₄	—	8	1	no	—
978	C₂²⋊C₄	—	8	1	no	—
979	C₂²⋊C₄	—	8	1	no	—
980	C₂²⋊C₄	—	8	1	no	—
981	C₂²⋊C₄	—	8	1	no	—
982	C₂²⋊C₄	—	8	1	no	—
983	C₂²⋊C₄	—	8	1	no	—
984	C₂²⋊C₄	—	8	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	4	1	no	—
996	C₄²	—	4	1	no	—
997	C₄²	—	4	2	no	—
998	C₄²	—	4	2	no	—
999	C₄²	—	4	2	no	—
1000	C₄²	—	4	2	no	—
1001	C₄²	—	8	1	no	—
1002	C₄²	—	8	1	no	—
1003	C₄²	—	8	1	no	—
1004	C₄²	—	8	1	no	—
1005	C₄²	—	8	1	no	—
1006	C₄²	—	8	1	no	—
1007	C₄²	—	8	1	no	—
1008	C₄²	—	8	1	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	4	1	no	—
1023	C₂³	—	4	1	no	—
1024	C₂³	—	4	1	no	—
1025	C₂³	—	4	1	no	—
1026	C₂³	—	4	1	no	—
1027	C₂³	—	4	1	no	—
1028	C₂³	—	4	1	no	—
1029	C₂³	#575	1	2	yes	—
1030	C₂³	C₂³×D₄	1	1	yes	characteristic
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	4	1	no	—
1034	Q₈	—	4	1	no	—
1035	Q₈	—	4	1	no	—
1036	Q₈	—	4	1	no	—
1037	Q₈	—	4	1	no	—
1038	Q₈	—	4	1	no	—
1039	Q₈	—	4	1	no	—
1040	Q₈	—	4	1	no	—
1041	Q₈	—	4	1	no	—
1042	Q₈	—	4	1	no	—
1043	Q₈	—	8	4	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	1	no	—
1046	D₄	—	4	1	no	—
1047	D₄	—	4	1	no	—
1048	D₄	—	4	1	no	—
1049	D₄	—	8	4	no	—
1050	D₄	—	16	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	4	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	1	no	—
1097	C₂×C₄	—	4	1	no	—
1098	C₂×C₄	—	4	1	no	—
1099	C₂×C₄	—	4	1	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	1	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	4	1	no	—
1104	C₂×C₄	—	4	1	no	—
1105	C₂×C₄	—	4	1	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	1	no	—
1110	C₂×C₄	—	4	1	no	—
1111	C₂×C₄	—	4	1	no	—
1112	C₂×C₄	—	4	1	no	—
1113	C₂×C₄	—	4	1	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	4	1	no	—
1131	C₂×C₄	—	4	1	no	—
1132	C₂×C₄	—	4	1	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	1	no	—
1135	C₂×C₄	—	4	1	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	8	2	no	—
1141	C₂×C₄	—	8	2	no	—
1142	C₂×C₄	—	8	4	no	—
1143	C₂×C₄	—	16	2	no	—
1144	C₂×C₄	—	16	2	no	—
1145	C₂×C₄	—	16	2	no	—
1146	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1147	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1148	C₂×C₄	#585	1	1	yes	characteristic
1149	C₂×C₄	#585	1	1	yes	characteristic
1150	C₂×C₄	#585	1	1	yes	characteristic
1151	C₂×C₄	#585	1	1	yes	characteristic
1152	C₈	—	2	2	no	—
1153	C₈	—	4	1	no	—
1154	C₈	—	4	1	no	—
1155	C₈	—	4	1	no	—
1156	C₈	—	4	1	no	—
1157	C₈	—	4	1	no	—
1158	C₈	—	4	1	no	—
1159	C₈	—	4	1	no	—
1160	C₂²	—	2	2	no	—
1161	C₂²	—	2	2	no	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	8	1	no	—
1175	C₂²	—	8	1	no	—
1176	C₂²	—	8	1	no	—
1177	C₂²	—	8	1	no	—
1178	C₂²	—	8	1	no	—
1179	C₂²	—	8	1	no	—
1180	C₂²	—	8	1	no	—
1181	C₂²	D₄×#41	1	1	yes	characteristic
1182	C₂²	#3485	1	1	yes	characteristic
1183	C₂²	#3488	1	1	yes	characteristic
1184	C₂²	C₂×#575	1	1	yes	characteristic
1185	C₂²	#3584	1	1	yes	characteristic
1186	C₂²	#3586	1	1	yes	characteristic
1187	C₂²	#3586	1	1	yes	characteristic
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	1	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	4	1	no	—
1198	C₄	—	4	1	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	2	no	—
1203	C₄	—	8	1	no	—
1204	C₄	—	8	1	no	—
1205	C₄	—	8	1	no	—
1206	C₄	—	8	1	no	—
1207	C₄	—	8	1	no	—
1208	C₄	—	8	1	no	—
1209	C₄	—	8	1	no	—
1210	C₄	—	8	1	no	—
1211	C₄	—	8	1	no	—
1212	C₄	—	8	1	no	—
1213	C₄	—	8	1	no	—
1214	C₄	—	8	1	no	—
1215	C₄	#3510	1	1	yes	characteristic
1216	C₄	#3514	1	1	yes	characteristic
1217	C₄	#3562	1	1	yes	characteristic
1218	C₄	#3566	1	1	yes	characteristic
1219	C₂	—	4	2	no	—
1220	C₂	—	8	1	no	—
1221	C₂	—	16	1	no	—
1222	C₂	#43537	1	1	yes	characteristic
1223	C₂	#61455	1	1	yes	characteristic
1224	C₂	#61549	1	1	yes	characteristic
1225	C₂	#61716	1	1	yes	characteristic
1226	C₂	#61763	1	1	yes	characteristic
1227	C₂	#61992	1	1	yes	characteristic
1228	C₂	#62080	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#2540	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#123 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #59253	C₂	semidirect
3. #32058	C₂	semidirect
4. #31905	C₂	semidirect
5. #31750	C₂	semidirect
6. #31677	C₂	semidirect
7. #31657	C₂	semidirect
8. #30785	C₂	semidirect
9. #30682	C₂	semidirect
11. #28884	C₂	semidirect
12. #28124	C₂	semidirect
13. #27801	C₂	semidirect
14. #27633	C₂	semidirect
15. #27225	C₂	semidirect
16. #27223	C₂	semidirect
17. #27221	C₂	semidirect
18. #27156	C₂	semidirect
19. #27155	C₂	semidirect
20. #26806	C₂	semidirect
21. #26749	C₂	semidirect
22. #26670	C₂	semidirect
24. #25459	C₂	semidirect
25. #25225	C₂	semidirect
26. #24951	C₂	semidirect
27. #23765	C₂	semidirect
28. #23144	C₂	semidirect
29. #23070	C₂	semidirect
30. #22363	C₂	semidirect
31. #22047	C₂	semidirect

Maximal subgroups

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

subgroup	index
#59627	2
#59253	2
#32058	2
#31905	2
#31750	2
#31677	2
#31657	2
#30785	2
#30682	2
#30518	2
#28884	2
#28124	2
#27801	2
#27633	2
#27225	2
#27223	2
#27221	2
#27156	2
#27155	2
#26806	2
#26749	2
#26670	2
#26242	2
#25459	2
#25225	2
#24951	2
#23765	2
#23144	2
#23070	2
#22363	2
#22047	2