Subgroups — #6564756

Order 512.

1493 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36201	C₂	1	1	yes	maximal, characteristic, complemented
2	#34316	C₂	1	1	yes	maximal, characteristic
3	#30174	C₂	1	1	yes	maximal, characteristic, complemented
4	#30080	C₂	1	1	yes	maximal, characteristic, complemented
5	#29958	C₂	1	1	yes	maximal, characteristic, complemented
6	#29576	C₂	1	1	yes	maximal, characteristic, complemented
7	#29396	C₂	1	1	yes	maximal, characteristic, complemented
8	#29158	C₂	1	1	yes	maximal, characteristic, complemented
9	#29108	C₂	1	1	yes	maximal, characteristic, complemented
10	#27649	C₂	1	1	yes	maximal, characteristic, complemented
11	#27590	C₂	1	1	yes	maximal, characteristic, complemented
12	#27529	C₂	1	1	yes	maximal, characteristic, complemented
13	#27527	C₂	1	1	yes	maximal, characteristic, complemented
14	#27360	C₂	1	1	yes	maximal, characteristic, complemented
15	#27358	C₂	1	1	yes	maximal, characteristic, complemented
16	#27045	C₂	1	1	yes	maximal, characteristic, complemented
17	#27043	C₂	1	1	yes	maximal, characteristic, complemented
18	#26758	C₂	1	1	yes	maximal, characteristic, complemented
19	#26756	C₂	1	1	yes	maximal, characteristic, complemented
20	#24944	C₂	1	1	yes	maximal, characteristic, complemented
21	#24942	C₂	1	1	yes	maximal, characteristic, complemented
22	#24043	C₂	1	1	yes	maximal, characteristic
23	#24043	C₂	1	1	yes	maximal, characteristic
24	#23820	C₂	1	1	yes	maximal, characteristic, complemented
25	#23759	C₂	1	1	yes	maximal, characteristic, complemented
26	#23627	C₂	1	1	yes	maximal, characteristic, complemented
27	#22919	C₂	1	1	yes	maximal, characteristic, complemented
28	#22917	C₂	1	1	yes	maximal, characteristic, complemented
29	#22785	C₂	1	1	yes	maximal, characteristic, complemented
30	#22577	C₂	1	1	yes	maximal, characteristic, complemented
31	#22573	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#547	C₂²	1	1	yes	characteristic
33	C₂×#485	C₂²	1	1	yes	characteristic
34	C₂×#485	C₂²	1	1	yes	characteristic
35	C₂×#416	C₂²	1	1	yes	characteristic
36	C₂×#416	C₂²	1	1	yes	characteristic
37	#2864	C₂²	1	1	yes	characteristic
38	#2851	C₂²	1	1	yes	characteristic
39	#2851	C₂²	1	1	yes	characteristic
40	#2577	—	2	1	no	—
41	#2530	—	2	1	no	—
42	#2524	—	2	1	no	—
43	#2515	—	2	1	no	—
44	#2507	C₂²	1	1	yes	characteristic
45	#2506	C₂²	1	1	yes	characteristic
46	#2497	C₂²	1	1	yes	characteristic
47	#2496	C₂²	1	1	yes	characteristic
48	#2485	C₂²	1	1	yes	characteristic
49	#2485	C₂²	1	1	yes	characteristic
50	#2468	—	2	1	no	—
51	#2460	—	2	1	no	—
52	#2374	—	2	1	no	—
53	#2374	—	2	1	no	—
54	#2373	—	2	1	no	—
55	#2371	—	2	1	no	—
56	#2365	C₂²	1	1	yes	characteristic
57	#2363	—	2	1	no	—
58	#2362	C₂²	1	1	yes	characteristic
59	#2362	C₂²	1	1	yes	characteristic
60	#2354	C₂²	1	1	yes	characteristic
61	#2354	C₂²	1	1	yes	characteristic
62	#2347	C₂²	1	1	yes	characteristic
63	#2346	C₂²	1	1	yes	characteristic
64	#2345	—	2	1	no	—
65	#2341	C₂²	1	1	yes	characteristic
66	#2341	C₂²	1	1	yes	characteristic
67	#2335	—	2	1	no	—
68	#2335	—	2	1	no	—
69	#2324	—	2	1	no	—
70	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
71	C₄×#125	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
74	#2297	C₂²	1	1	yes	characteristic
75	#2297	C₂²	1	1	yes	characteristic
76	#2293	C₂²	1	1	yes	characteristic
77	#2285	C₂²	1	1	yes	characteristic
78	#2283	C₂²	1	1	yes	characteristic
79	#2274	—	2	1	no	—
80	C₄²×D₄	C₂²	1	1	yes	characteristic
81	#2101	C₂²	1	1	yes	characteristic
82	#2099	C₂²	1	1	yes	characteristic
83	#2099	C₂²	1	1	yes	characteristic
84	#2097	C₂²	1	1	yes	characteristic
85	#2097	C₂²	1	1	yes	characteristic
86	#2092	C₂²	1	1	yes	characteristic
87	#2085	C₂²	1	1	yes	characteristic
88	#2085	C₂²	1	1	yes	characteristic
89	#2084	C₂²	1	1	yes	characteristic
90	#2083	C₂²	1	1	yes	characteristic
91	#2077	C₂²	1	1	yes	characteristic
92	#2077	C₂²	1	1	yes	characteristic
93	#2076	C₂²	1	1	yes	characteristic
94	#2075	C₂²	1	1	yes	characteristic
95	#2074	C₂²	1	1	yes	characteristic
96	#2074	C₂²	1	1	yes	characteristic
97	#2074	C₂²	1	1	yes	characteristic
98	#2074	C₂²	1	1	yes	characteristic
99	#2073	C₂²	1	1	yes	characteristic
100	#2073	C₂²	1	1	yes	characteristic
101	#2072	C₂²	1	1	yes	characteristic
102	#2072	C₂²	1	1	yes	characteristic
103	#2071	C₂²	1	1	yes	characteristic
104	#2071	C₂²	1	1	yes	characteristic
105	#2068	C₂²	1	1	yes	characteristic
106	#2067	C₂²	1	1	yes	characteristic
107	#2066	C₂²	1	1	yes	characteristic
108	#2065	C₂²	1	1	yes	characteristic
109	#2059	C₂²	1	1	yes	characteristic
110	#2043	C₂²	1	1	yes	characteristic
111	#2043	C₂²	1	1	yes	characteristic
112	#2043	C₂²	1	1	yes	characteristic
113	#2043	C₂²	1	1	yes	characteristic
114	#2036	C₂²	1	1	yes	characteristic
115	#2036	C₂²	1	1	yes	characteristic
116	#2035	C₂²	1	1	yes	characteristic
117	#2035	C₂²	1	1	yes	characteristic
118	#2026	C₂²	1	1	yes	characteristic
119	#2026	C₂²	1	1	yes	characteristic
120	#2025	C₂²	1	1	yes	characteristic
121	#1948	C₂²	1	1	yes	characteristic
122	#1947	C₂²	1	1	yes	characteristic
123	#1942	C₂²	1	1	yes	characteristic
124	#1941	C₂²	1	1	yes	characteristic
125	#1934	C₂²	1	1	yes	characteristic
126	#1934	C₂²	1	1	yes	characteristic
127	#1934	C₂²	1	1	yes	characteristic
128	#1934	C₂²	1	1	yes	characteristic
129	#1933	C₂²	1	1	yes	characteristic
130	#1933	C₂²	1	1	yes	characteristic
131	#1928	C₂²	1	1	yes	characteristic
132	#1927	C₂²	1	1	yes	characteristic
133	#1926	C₂²	1	1	yes	characteristic
134	#1926	C₂²	1	1	yes	characteristic
135	#1925	C₂²	1	1	yes	characteristic
136	#1925	C₂²	1	1	yes	characteristic
137	#1923	C₂²	1	1	yes	characteristic
138	#1923	C₂²	1	1	yes	characteristic
139	#1921	C₂²	1	1	yes	characteristic
140	#1921	C₂²	1	1	yes	characteristic
141	#1920	C₂²	1	1	yes	characteristic
142	#1920	C₂²	1	1	yes	characteristic
143	#1919	C₂²	1	1	yes	characteristic
144	#1919	C₂²	1	1	yes	characteristic
145	#1919	C₂²	1	1	yes	characteristic
146	#1918	C₂²	1	1	yes	characteristic
147	#1918	C₂²	1	1	yes	characteristic
148	#1918	C₂²	1	1	yes	characteristic
149	#1916	C₂²	1	1	yes	characteristic
150	#1916	C₂²	1	1	yes	characteristic
151	#1892	C₂²	1	1	yes	characteristic
152	#1892	C₂²	1	1	yes	characteristic
153	#1869	C₂²	1	1	yes	characteristic
154	#1869	C₂²	1	1	yes	characteristic
155	#1865	C₂²	1	1	yes	characteristic
156	#1865	C₂²	1	1	yes	characteristic
157	#1865	C₂²	1	1	yes	characteristic
158	#1865	C₂²	1	1	yes	characteristic
159	#1864	C₂²	1	1	yes	characteristic
160	#1864	C₂²	1	1	yes	characteristic
161	#1863	C₂²	1	1	yes	characteristic
162	#1863	C₂²	1	1	yes	characteristic
163	#1863	C₂²	1	1	yes	characteristic
164	#1863	C₂²	1	1	yes	characteristic
165	#1862	C₂²	1	1	yes	characteristic
166	#1862	C₂²	1	1	yes	characteristic
167	#1854	C₂²	1	1	yes	characteristic
168	#1854	C₂²	1	1	yes	characteristic
169	#1854	C₂²	1	1	yes	characteristic
170	#1854	C₂²	1	1	yes	characteristic
171	#1839	C₂²	1	1	yes	characteristic
172	#1825	C₂²	1	1	yes	characteristic
173	#1825	C₂²	1	1	yes	characteristic
174	#1825	C₂²	1	1	yes	characteristic
175	#1825	C₂²	1	1	yes	characteristic
176	#1817	C₂²	1	1	yes	characteristic
177	#1808	C₂²	1	1	yes	characteristic
178	#1807	C₂²	1	1	yes	characteristic
179	#1803	C₂²	1	1	yes	characteristic
180	#1803	C₂²	1	1	yes	characteristic
181	#1797	C₂²	1	1	yes	characteristic
182	#1788	C₂²	1	1	yes	characteristic
183	#1788	C₂²	1	1	yes	characteristic
184	#1788	C₂²	1	1	yes	characteristic
185	#1788	C₂²	1	1	yes	characteristic
186	#1788	C₂²	1	1	yes	characteristic
187	#1788	C₂²	1	1	yes	characteristic
188	C₄×#107	C₂²	1	1	yes	characteristic
189	C₄×#106	C₂²	1	1	yes	characteristic
190	C₄×#103	C₂²	1	1	yes	characteristic
191	C₄×#103	C₂²	1	1	yes	characteristic
192	C₄×#103	C₂²	1	1	yes	characteristic
193	C₄×#103	C₂²	1	1	yes	characteristic
194	C₄×#103	C₂²	1	1	yes	characteristic
195	C₄×#103	C₂²	1	1	yes	characteristic
196	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
197	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#1744	C₂²	1	1	yes	characteristic
200	#1735	C₂²	1	1	yes	characteristic
201	#1735	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂²×#41	C₂³	1	1	yes	characteristic
205	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	#547	—	2	4	no	—
208	#547	—	2	4	no	—
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₂×#126	—	2	1	no	—
211	C₂×#125	—	2	1	no	—
212	C₂×#125	C₂³	1	1	yes	characteristic
213	C₂×#123	—	2	1	no	—
214	C₂×#123	—	2	1	no	—
215	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₂×#121	—	2	1	no	—
218	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄×Q₈	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×D₄	D₄	1	1	yes	characteristic
223	C₂×C₄×D₄	D₄	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×#117	—	2	1	no	—
227	C₂×#117	—	2	1	no	—
228	C₂×#117	C₂³	1	1	yes	characteristic
229	C₂×#117	C₂³	1	1	yes	characteristic
230	C₂×#117	C₂³	1	1	yes	characteristic
231	C₂×#117	C₂³	1	1	yes	characteristic
232	C₂²×C₄⋊C₄	—	2	1	no	—
233	C₂²×C₄²	C₂³	1	1	yes	characteristic
234	C₂²×C₄²	C₂³	1	1	yes	characteristic
235	#485	—	2	4	no	—
236	#485	—	2	4	no	—
237	C₂×#107	C₂³	1	1	yes	characteristic
238	C₂×#107	C₂³	1	1	yes	characteristic
239	C₂×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
244	C₂×#106	C₂³	1	1	yes	characteristic
245	C₂×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	#416	—	2	4	no	—
252	#416	—	2	4	no	—
253	C₂×#103	C₂³	1	1	yes	characteristic
254	C₂×#103	C₂³	1	1	yes	characteristic
255	C₂×#103	C₂³	1	1	yes	characteristic
256	C₂×#103	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×#102	C₂³	1	1	yes	characteristic
270	C₂×#102	C₂³	1	1	yes	characteristic
271	C₂×#102	C₂³	1	1	yes	characteristic
272	C₂×#102	C₂³	1	1	yes	characteristic
273	C₂×#102	C₂³	1	1	yes	characteristic
274	C₂×#102	C₂³	1	1	yes	characteristic
275	C₂×#102	C₂³	1	1	yes	characteristic
276	C₂×#102	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	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×C₄×C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
287	#400	—	2	1	no	—
288	#400	—	2	1	no	—
289	#400	—	2	1	no	—
290	#398	—	2	1	no	—
291	#398	—	2	1	no	—
292	#398	—	2	1	no	—
293	#397	—	2	1	no	—
294	#397	—	2	1	no	—
295	#397	—	2	1	no	—
296	#396	—	2	1	no	—
297	#394	—	2	1	no	—
298	#394	—	2	1	no	—
299	#391	C₂³	1	1	yes	characteristic
300	#391	C₂³	1	1	yes	characteristic
301	#391	C₂³	1	1	yes	characteristic
302	#391	C₂³	1	1	yes	characteristic
303	#390	—	2	1	no	—
304	#390	—	2	1	no	—
305	#390	—	2	1	no	—
306	#390	—	2	1	no	—
307	#390	—	2	1	no	—
308	#390	C₂³	1	1	yes	characteristic
309	#390	C₂³	1	1	yes	characteristic
310	#390	C₂³	1	1	yes	characteristic
311	#390	C₂³	1	1	yes	characteristic
312	#389	—	2	1	no	—
313	#389	—	2	1	no	—
314	#389	—	2	1	no	—
315	#389	—	2	1	no	—
316	#389	C₂³	1	1	yes	characteristic
317	#389	C₂³	1	1	yes	characteristic
318	#389	C₂³	1	1	yes	characteristic
319	#389	C₂³	1	1	yes	characteristic
320	#389	C₂³	1	1	yes	characteristic
321	#389	C₂³	1	1	yes	characteristic
322	#389	C₂³	1	1	yes	characteristic
323	#389	C₂³	1	1	yes	characteristic
324	#389	C₂³	1	1	yes	characteristic
325	#389	C₂³	1	1	yes	characteristic
326	#389	C₂³	1	1	yes	characteristic
327	#389	C₂³	1	1	yes	characteristic
328	#388	—	2	1	no	—
329	#388	—	2	1	no	—
330	#388	—	2	1	no	—
331	#388	—	2	1	no	—
332	#388	—	2	1	no	—
333	#388	—	2	1	no	—
334	#388	—	2	1	no	—
335	#388	—	2	1	no	—
336	#388	—	2	1	no	—
337	#388	—	2	1	no	—
338	#388	—	2	1	no	—
339	#388	—	2	1	no	—
340	#388	—	2	1	no	—
341	#388	—	2	1	no	—
342	#388	—	2	1	no	—
343	#388	—	2	1	no	—
344	#388	—	2	1	no	—
345	#387	—	2	1	no	—
346	#387	—	2	1	no	—
347	#387	—	2	1	no	—
348	#387	—	2	1	no	—
349	#387	—	2	1	no	—
350	#387	—	2	1	no	—
351	#387	—	2	1	no	—
352	#387	—	2	1	no	—
353	#387	—	2	1	no	—
354	#387	—	2	1	no	—
355	#387	—	2	1	no	—
356	#387	—	2	1	no	—
357	#387	—	2	1	no	—
358	#387	—	2	1	no	—
359	#387	—	2	1	no	—
360	#387	—	2	1	no	—
361	#387	—	2	1	no	—
362	#387	—	2	1	no	—
363	#387	—	2	1	no	—
364	#387	—	2	1	no	—
365	#387	—	2	1	no	—
366	#387	—	2	1	no	—
367	#386	—	2	1	no	—
368	#386	—	2	1	no	—
369	#386	—	2	1	no	—
370	#386	—	2	1	no	—
371	#385	—	2	1	no	—
372	#385	—	2	1	no	—
373	#385	—	2	1	no	—
374	#385	—	2	1	no	—
375	#385	—	2	1	no	—
376	#385	—	2	1	no	—
377	#384	C₂³	1	1	yes	characteristic
378	#384	C₂³	1	1	yes	characteristic
379	#384	C₂³	1	1	yes	characteristic
380	#383	—	2	1	no	—
381	#383	—	2	1	no	—
382	#382	—	2	1	no	—
383	#382	C₂³	1	1	yes	characteristic
384	#382	C₂³	1	1	yes	characteristic
385	#382	C₂³	1	1	yes	characteristic
386	#381	—	2	1	no	—
387	#380	—	2	1	no	—
388	#380	—	2	1	no	—
389	#380	—	2	1	no	—
390	#380	—	2	1	no	—
391	#380	—	2	1	no	—
392	#380	C₂³	1	1	yes	characteristic
393	#380	C₂³	1	1	yes	characteristic
394	#380	C₂³	1	1	yes	characteristic
395	#380	C₂³	1	1	yes	characteristic
396	#380	C₂³	1	1	yes	characteristic
397	#380	C₂³	1	1	yes	characteristic
398	#380	C₂³	1	1	yes	characteristic
399	#380	C₂³	1	1	yes	characteristic
400	C₄×C₄⋊C₄	—	2	1	no	—
401	C₄×C₄⋊C₄	—	2	1	no	—
402	C₄×C₄⋊C₄	—	2	1	no	—
403	C₄×C₄⋊C₄	—	2	1	no	—
404	C₄×C₄⋊C₄	—	2	1	no	—
405	C₄×C₄⋊C₄	—	2	1	no	—
406	C₄×C₄⋊C₄	—	2	1	no	—
407	C₄×C₄⋊C₄	—	2	1	no	—
408	C₄×C₄⋊C₄	—	2	1	no	—
409	C₄×C₄⋊C₄	—	2	1	no	—
410	C₄×C₄⋊C₄	—	2	1	no	—
411	C₄×C₄⋊C₄	—	2	1	no	—
412	C₄×C₄⋊C₄	—	2	1	no	—
413	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
414	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
415	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
420	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
421	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	—	2	1	no	—
424	C₄×C₂²⋊C₄	—	2	1	no	—
425	C₄×C₂²⋊C₄	—	2	1	no	—
426	C₄×C₂²⋊C₄	—	2	1	no	—
427	C₄×C₂²⋊C₄	—	2	1	no	—
428	C₄×C₂²⋊C₄	—	2	1	no	—
429	C₄×C₂²⋊C₄	—	2	1	no	—
430	C₄×C₂²⋊C₄	—	2	1	no	—
431	C₄×C₂²⋊C₄	—	2	1	no	—
432	C₄×C₂²⋊C₄	—	2	1	no	—
433	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	#376	—	2	1	no	—
440	#376	—	2	1	no	—
441	C₄³	C₂³	1	1	yes	characteristic
442	#340	C₂³	1	1	yes	characteristic
443	#340	C₂³	1	1	yes	characteristic
444	#340	C₂³	1	1	yes	characteristic
445	#340	C₂³	1	1	yes	characteristic
446	#340	C₂³	1	1	yes	characteristic
447	#340	C₂³	1	1	yes	characteristic
448	#340	C₂³	1	1	yes	characteristic
449	#340	C₂³	1	1	yes	characteristic
450	#340	C₂³	1	1	yes	characteristic
451	#340	C₂³	1	1	yes	characteristic
452	#340	C₂³	1	1	yes	characteristic
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	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	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	C₂×#41	—	2	2	no	—
485	C₂×#41	—	2	2	no	—
486	C₂×#41	—	2	2	no	—
487	C₂×#41	—	4	1	no	—
488	C₂×#41	—	4	1	no	—
489	C₂×#41	—	4	1	no	—
490	C₂×#41	—	4	1	no	—
491	C₂×#41	—	4	1	no	—
492	C₂×#41	—	4	1	no	—
493	C₂×#41	—	4	1	no	—
494	C₂×#41	—	4	1	no	—
495	C₂×#41	#41	1	4	yes	—
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
498	C₂²×D₄	—	2	1	no	—
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
501	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
508	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
509	C₂³×C₄	C₂⁴	1	1	yes	characteristic
510	C₂³×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₈	—	2	2	no	—
512	C₂²×C₈	—	2	2	no	—
513	C₂²×C₈	—	4	1	no	—
514	C₂²×C₈	—	4	1	no	—
515	C₂²×C₈	—	4	1	no	—
516	C₂²×C₈	—	4	1	no	—
517	C₂²×C₈	C₂⁴	1	1	yes	characteristic
518	C₂²×C₈	C₂⁴	1	1	yes	characteristic
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₂²×C₈	C₂⁴	1	1	yes	characteristic
522	C₂²×C₈	C₂⁴	1	1	yes	characteristic
523	C₂²×C₈	C₂⁴	1	1	yes	characteristic
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₄⋊Q₈	—	2	2	no	—
526	C₄⋊Q₈	—	2	2	no	—
527	#126	—	4	4	no	—
528	#125	—	4	1	no	—
529	#125	—	4	1	no	—
530	#125	—	4	4	no	—
531	#123	—	2	8	no	—
532	#123	—	2	8	no	—
533	C₂²⋊Q₈	—	2	2	no	—
534	C₂²⋊Q₈	—	2	2	no	—
535	C₂²⋊Q₈	—	2	2	no	—
536	C₂²⋊Q₈	#41	1	4	yes	—
537	#121	—	2	8	no	—
538	C₄×Q₈	—	4	1	no	—
539	C₄×Q₈	—	4	1	no	—
540	C₄×Q₈	—	4	1	no	—
541	C₄×Q₈	—	4	1	no	—
542	C₄×Q₈	—	4	1	no	—
543	C₄×Q₈	—	4	1	no	—
544	C₄×Q₈	—	4	1	no	—
545	C₄×Q₈	—	4	1	no	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	2	2	no	—
548	C₄×D₄	—	2	2	no	—
549	C₄×D₄	—	2	4	no	—
550	C₄×D₄	—	2	2	no	—
551	C₄×D₄	—	4	2	no	—
552	#117	—	2	2	no	—
553	#117	—	2	2	no	—
554	#117	—	2	2	no	—
555	#117	—	2	2	no	—
556	#117	—	4	4	no	—
557	#117	—	4	4	no	—
558	#117	—	4	1	no	—
559	#117	—	4	1	no	—
560	#117	—	4	1	no	—
561	#117	—	4	1	no	—
562	C₂×C₄⋊C₄	—	2	8	no	—
563	C₂×C₄⋊C₄	—	2	1	no	—
564	C₂×C₄⋊C₄	—	2	1	no	—
565	C₂×C₄⋊C₄	—	2	1	no	—
566	C₂×C₄⋊C₄	—	2	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	—	2	1	no	—
591	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
608	C₂×C₂²⋊C₄	—	2	1	no	—
609	C₂×C₂²⋊C₄	—	2	1	no	—
610	C₂×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
637	C₂×C₄²	—	2	1	no	—
638	C₂×C₄²	—	2	1	no	—
639	C₂×C₄²	—	2	1	no	—
640	C₂×C₄²	—	2	1	no	—
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	—	4	1	no	—
652	C₂×C₄²	—	4	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	C₂×D₄	1	1	yes	characteristic
658	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
659	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
660	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
661	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
662	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
665	C₂×C₄²	C₂⁴	1	1	yes	characteristic
666	C₂×C₄²	C₂⁴	1	1	yes	characteristic
667	C₂×C₄²	C₂⁴	1	1	yes	characteristic
668	#107	—	2	2	no	—
669	#107	—	2	2	no	—
670	#107	—	4	1	no	—
671	#107	—	4	1	no	—
672	#107	—	4	1	no	—
673	#107	—	4	1	no	—
674	#106	—	2	2	no	—
675	#106	—	2	2	no	—
676	#106	—	4	1	no	—
677	#106	—	4	1	no	—
678	#106	—	4	1	no	—
679	#106	—	4	1	no	—
680	C₄⋊C₈	—	4	1	no	—
681	C₄⋊C₈	—	4	1	no	—
682	#103	—	2	2	no	—
683	#103	—	2	2	no	—
684	#103	—	2	2	no	—
685	#103	—	2	2	no	—
686	#103	—	2	2	no	—
687	#103	—	2	2	no	—
688	#103	—	2	2	no	—
689	#103	—	2	2	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	—	4	1	no	—
697	#103	—	4	1	no	—
698	#102	—	2	2	no	—
699	#102	—	2	2	no	—
700	#102	—	2	2	no	—
701	#102	—	2	2	no	—
702	#102	—	4	1	no	—
703	#102	—	4	1	no	—
704	#102	—	4	1	no	—
705	#102	—	4	1	no	—
706	C₂²⋊C₈	—	2	2	no	—
707	C₂²⋊C₈	—	2	2	no	—
708	C₂²⋊C₈	—	4	1	no	—
709	C₂²⋊C₈	—	4	1	no	—
710	C₂²⋊C₈	—	4	1	no	—
711	C₂²⋊C₈	—	4	1	no	—
712	C₄×C₈	—	4	1	no	—
713	C₄×C₈	—	4	1	no	—
714	C₄×C₈	—	4	1	no	—
715	C₄×C₈	—	4	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	C₂×D₄	1	1	yes	characteristic
758	#95	C₂×D₄	1	1	yes	characteristic
759	#95	C₂×D₄	1	1	yes	characteristic
760	#95	C₂×D₄	1	1	yes	characteristic
761	#95	C₂×D₄	1	1	yes	characteristic
762	#95	C₂×D₄	1	1	yes	characteristic
763	C₂⁴	—	2	1	no	—
764	C₂⁴	C₂²×D₄	1	1	yes	characteristic
765	C₂⁴	C₂²×D₄	1	1	yes	characteristic
766	#41	—	4	4	no	—
767	#41	—	4	4	no	—
768	#41	—	8	2	no	—
769	#41	—	8	2	no	—
770	#41	—	8	2	no	—
771	#41	—	8	2	no	—
772	#41	—	8	2	no	—
773	#41	—	8	2	no	—
774	C₂×Q₈	—	2	1	no	—
775	C₂×Q₈	—	2	1	no	—
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	C₂×#41	1	2	yes	—
785	C₂×Q₈	C₂×#41	1	2	yes	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	2	4	no	—
788	C₂×D₄	—	2	4	no	—
789	C₂×D₄	—	2	2	no	—
790	C₂×D₄	—	2	1	no	—
791	C₂×D₄	—	2	1	no	—
792	C₂×D₄	—	2	1	no	—
793	C₂×D₄	—	2	1	no	—
794	C₂×D₄	—	2	1	no	—
795	C₂×D₄	—	4	1	no	—
796	C₂×D₄	—	8	1	no	—
797	C₂×D₄	—	8	1	no	—
798	C₂×D₄	—	8	1	no	—
799	C₂×D₄	—	8	1	no	—
800	C₂×D₄	C₂×#41	1	2	yes	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	1	no	—
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	4	no	—
810	C₂²×C₄	—	2	1	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	1	no	—
814	C₂²×C₄	—	2	1	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	4	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	1	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	—	4	1	no	—
832	C₂²×C₄	—	4	1	no	—
833	C₂²×C₄	—	4	1	no	—
834	C₂²×C₄	—	4	1	no	—
835	C₂²×C₄	—	4	1	no	—
836	C₂²×C₄	—	4	1	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	—	4	2	no	—
843	C₂²×C₄	—	8	1	no	—
844	C₂²×C₄	—	8	1	no	—
845	C₂²×C₄	—	8	1	no	—
846	C₂²×C₄	—	8	1	no	—
847	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
848	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
849	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
850	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
851	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
852	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
853	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
854	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
855	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
857	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
858	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
859	C₂²×C₄	C₂×#41	1	2	yes	—
860	C₂²×C₄	C₂×#41	1	2	yes	—
861	C₂²×C₄	C₂⁵	1	1	yes	characteristic
862	C₂×C₈	—	2	1	no	—
863	C₂×C₈	—	2	1	no	—
864	C₂×C₈	—	2	1	no	—
865	C₂×C₈	—	2	1	no	—
866	C₂×C₈	—	2	1	no	—
867	C₂×C₈	—	2	1	no	—
868	C₂×C₈	—	2	1	no	—
869	C₂×C₈	—	2	1	no	—
870	C₂×C₈	—	2	1	no	—
871	C₂×C₈	—	2	1	no	—
872	C₂×C₈	—	2	1	no	—
873	C₂×C₈	—	2	1	no	—
874	C₂×C₈	—	2	1	no	—
875	C₂×C₈	—	2	1	no	—
876	C₂×C₈	—	2	1	no	—
877	C₂×C₈	—	2	1	no	—
878	C₂×C₈	—	2	1	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	—	8	2	no	—
887	C₂×C₈	—	8	2	no	—
888	C₄⋊C₄	—	2	4	no	—
889	C₄⋊C₄	—	2	4	no	—
890	C₄⋊C₄	—	2	4	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	4	no	—
893	C₄⋊C₄	—	2	1	no	—
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	1	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	1	no	—
901	C₄⋊C₄	—	2	1	no	—
902	C₄⋊C₄	—	2	1	no	—
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	—	4	1	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	2	no	—
923	C₄⋊C₄	—	4	2	no	—
924	C₄⋊C₄	—	4	2	no	—
925	C₄⋊C₄	—	4	2	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	8	1	no	—
933	C₄⋊C₄	—	8	1	no	—
934	C₄⋊C₄	—	8	1	no	—
935	C₄⋊C₄	—	8	1	no	—
936	C₄⋊C₄	—	8	1	no	—
937	C₄⋊C₄	—	8	1	no	—
938	C₄⋊C₄	—	8	1	no	—
939	C₄⋊C₄	—	8	1	no	—
940	C₄⋊C₄	—	8	1	no	—
941	C₄⋊C₄	—	8	1	no	—
942	C₄⋊C₄	—	8	1	no	—
943	C₄⋊C₄	#135	1	4	yes	—
944	C₄⋊C₄	C₂×#41	1	2	yes	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	4	no	—
947	C₂²⋊C₄	—	2	4	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	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	8	1	no	—
964	C₂²⋊C₄	—	8	1	no	—
965	C₂²⋊C₄	—	8	1	no	—
966	C₂²⋊C₄	—	8	1	no	—
967	C₂²⋊C₄	—	8	1	no	—
968	C₂²⋊C₄	—	8	1	no	—
969	C₂²⋊C₄	—	8	1	no	—
970	C₂²⋊C₄	—	8	1	no	—
971	C₂²⋊C₄	—	8	1	no	—
972	C₂²⋊C₄	—	8	1	no	—
973	C₂²⋊C₄	—	8	1	no	—
974	C₄²	—	2	2	no	—
975	C₄²	—	2	2	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	4	1	no	—
987	C₄²	—	4	1	no	—
988	C₄²	—	4	1	no	—
989	C₄²	—	4	1	no	—
990	C₄²	—	4	1	no	—
991	C₄²	—	4	1	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	4	2	no	—
995	C₄²	—	4	2	no	—
996	C₄²	—	4	2	no	—
997	C₄²	—	4	2	no	—
998	C₄²	—	4	2	no	—
999	C₄²	—	8	1	no	—
1000	C₄²	—	8	1	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	C₂³	—	2	1	no	—
1008	C₂³	—	2	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	2	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	4	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	#525	1	2	yes	—
1028	C₂³	C₂³×D₄	1	1	yes	characteristic
1029	Q₈	—	2	2	no	—
1030	Q₈	—	2	2	no	—
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	D₄	—	2	2	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	4	1	no	—
1041	D₄	—	4	1	no	—
1042	D₄	—	8	4	no	—
1043	D₄	—	8	4	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	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	2	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	—	4	8	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	1	no	—
1089	C₂×C₄	—	4	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	—	8	2	no	—
1130	C₂×C₄	—	8	2	no	—
1131	C₂×C₄	—	8	4	no	—
1132	C₂×C₄	—	8	4	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	—	8	2	no	—
1135	C₂×C₄	#525	1	2	yes	—
1136	C₂×C₄	C₂×#135	1	2	yes	—
1137	C₂×C₄	C₂×#135	1	2	yes	—
1138	C₂×C₄	C₂×#135	1	2	yes	—
1139	C₂×C₄	#575	1	2	yes	—
1140	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1141	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1142	C₂×C₄	#585	1	1	yes	characteristic
1143	C₂×C₄	#585	1	1	yes	characteristic
1144	C₂×C₄	#585	1	1	yes	characteristic
1145	C₂×C₄	#585	1	1	yes	characteristic
1146	C₈	—	4	1	no	—
1147	C₈	—	4	1	no	—
1148	C₈	—	4	1	no	—
1149	C₈	—	4	1	no	—
1150	C₈	—	4	1	no	—
1151	C₈	—	4	1	no	—
1152	C₈	—	4	1	no	—
1153	C₈	—	4	1	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	2	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	8	1	no	—
1172	C₂²	—	8	1	no	—
1173	C₂²	—	8	1	no	—
1174	C₂²	—	8	1	no	—
1175	C₂²	C₂×#525	1	1	yes	characteristic
1176	C₂²	#3485	1	1	yes	characteristic
1177	C₂²	#3500	1	1	yes	characteristic
1178	C₂²	C₂²×#135	1	1	yes	characteristic
1179	C₂²	C₂×#575	1	1	yes	characteristic
1180	C₂²	#3584	1	1	yes	characteristic
1181	C₂²	#3586	1	1	yes	characteristic
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	2	no	—
1195	C₄	—	4	2	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	8	1	no	—
1198	C₄	—	8	1	no	—
1199	C₄	—	8	1	no	—
1200	C₄	—	8	1	no	—
1201	C₄	—	8	1	no	—
1202	C₄	—	8	1	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	#3491	1	1	yes	characteristic
1210	C₄	#3491	1	1	yes	characteristic
1211	C₄	#3521	1	1	yes	characteristic
1212	C₄	#3521	1	1	yes	characteristic
1213	C₂	—	4	2	no	—
1214	C₂	—	8	1	no	—
1215	C₂	—	8	2	no	—
1216	C₂	#36010	1	1	yes	characteristic
1217	C₂	#60536	1	1	yes	characteristic
1218	C₂	#60598	1	1	yes	characteristic
1219	C₂	#61703	1	1	yes	characteristic
1220	C₂	#61743	1	1	yes	characteristic
1221	C₂	#62534	1	1	yes	characteristic
1222	C₂	#62579	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#547	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄²×D₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #36201	C₂	semidirect
3. #30174	C₂	semidirect
4. #30080	C₂	semidirect
5. #29958	C₂	semidirect
6. #29576	C₂	semidirect
7. #29396	C₂	semidirect
8. #29158	C₂	semidirect
9. #29108	C₂	semidirect
10. #27649	C₂	semidirect
11. #27590	C₂	semidirect
12. #27529	C₂	semidirect
13. #27527	C₂	semidirect
14. #27360	C₂	semidirect
15. #27358	C₂	semidirect
16. #27045	C₂	semidirect
17. #27043	C₂	semidirect
18. #26758	C₂	semidirect
19. #26756	C₂	semidirect
20. #24944	C₂	semidirect
21. #24942	C₂	semidirect
24. #23820	C₂	semidirect
25. #23759	C₂	semidirect
26. #23627	C₂	semidirect
27. #22919	C₂	semidirect
28. #22917	C₂	semidirect
29. #22785	C₂	semidirect
30. #22577	C₂	semidirect
31. #22573	C₂	semidirect

Maximal subgroups

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

subgroup	index
#36201	2
#34316	2
#30174	2
#30080	2
#29958	2
#29576	2
#29396	2
#29158	2
#29108	2
#27649	2
#27590	2
#27529	2
#27527	2
#27360	2
#27358	2
#27045	2
#27043	2
#26758	2
#26756	2
#24944	2
#24942	2
#24043	2
#23820	2
#23759	2
#23627	2
#22919	2
#22917	2
#22785	2
#22577	2
#22573	2