Subgroups — #6455333

Order 512.

1630 conjugacy classes of subgroups.

The subgroup lattice has 1265 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#35651	C₂	1	1	yes	maximal, characteristic, complemented
2	#34261	C₂	1	1	yes	maximal, characteristic, complemented
3	#27581	C₂	1	1	yes	maximal, characteristic, complemented
4	#27534	C₂	1	1	yes	maximal, characteristic, complemented
5	#27493	C₂	1	1	yes	maximal, characteristic, complemented
6	#27466	C₂	1	1	yes	maximal, characteristic, complemented
7	#27440	C₂	1	1	yes	maximal, characteristic, complemented
8	#27417	C₂	1	1	yes	maximal, characteristic, complemented
9	#27370	C₂	1	1	yes	maximal, characteristic, complemented
10	#27336	C₂	1	1	yes	maximal, characteristic, complemented
11	#27310	C₂	1	1	yes	maximal, characteristic, complemented
12	#27240	C₂	1	1	yes	maximal, characteristic
13	#27217	C₂	1	1	yes	maximal, characteristic, complemented
14	#27189	C₂	1	1	yes	maximal, characteristic, complemented
15	#26378	C₂	1	1	yes	maximal, characteristic, complemented
16	#26172	C₂	1	1	yes	maximal, characteristic, complemented
17	#25152	C₂	1	1	yes	maximal, characteristic
18	#24905	C₂	1	1	yes	maximal, characteristic, complemented
19	#23778	C₂	1	1	yes	maximal, characteristic, complemented
20	#23773	C₂	1	1	yes	maximal, characteristic, complemented
21	#23766	C₂	1	1	yes	maximal, characteristic, complemented
22	#23686	C₂	1	1	yes	maximal, characteristic, complemented
23	#21617	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	#21459	C₂	1	1	yes	maximal, characteristic, complemented
26	#21458	C₂	1	1	yes	maximal, characteristic
27	#21436	C₂	1	1	yes	maximal, characteristic, complemented
28	#21290	C₂	1	1	yes	maximal, characteristic, complemented
29	#21129	C₂	1	1	yes	maximal, characteristic, complemented
30	#21128	C₂	1	1	yes	maximal, characteristic, complemented
31	#20506	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#518	C₂²	1	1	yes	characteristic
33	C₂×#478	C₂²	1	1	yes	characteristic
34	C₂×#463	C₂²	1	1	yes	characteristic
35	C₂×#450	C₂²	1	1	yes	characteristic
36	C₂×#447	C₂²	1	1	yes	characteristic
37	C₂×#442	C₂²	1	1	yes	characteristic
38	C₂×#440	C₂²	1	1	yes	characteristic
39	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
43	#2596	—	2	1	no	—
44	#2593	—	2	1	no	—
45	#2531	—	2	1	no	—
46	#2530	—	2	1	no	—
47	#2525	—	2	1	no	—
48	#2516	—	2	1	no	—
49	#2515	—	2	1	no	—
50	#2513	—	2	1	no	—
51	#2513	C₂²	1	1	yes	characteristic, complemented
52	#2508	C₂²	1	1	yes	characteristic, complemented
53	#2495	C₂²	1	1	yes	characteristic
54	#2490	C₂²	1	1	yes	characteristic
55	#2453	C₂²	1	1	yes	characteristic, complemented
56	#2448	C₂²	1	1	yes	characteristic, complemented
57	#2426	C₂²	1	1	yes	characteristic
58	#2421	C₂²	1	1	yes	characteristic
59	#2357	C₂²	1	1	yes	characteristic
60	#2354	C₂²	1	1	yes	characteristic
61	#2353	—	2	1	no	—
62	#2352	—	2	1	no	—
63	#2349	C₂²	1	1	yes	characteristic
64	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	#2347	C₂²	1	1	yes	characteristic
66	#2346	C₂²	1	1	yes	characteristic
67	#2342	—	2	1	no	—
68	#2342	—	2	1	no	—
69	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#2324	C₂²	1	1	yes	characteristic
72	#2323	C₂²	1	1	yes	characteristic
73	#2319	C₂²	1	1	yes	characteristic
74	#2319	C₂²	1	1	yes	characteristic, complemented
75	#2318	—	2	1	no	—
76	#2314	C₂²	1	1	yes	characteristic
77	#2312	—	2	1	no	—
78	C₄×#125	C₂²	1	1	yes	characteristic, complemented
79	C₄×#124	C₂²	1	1	yes	characteristic, complemented
80	#2298	C₂²	1	1	yes	characteristic
81	#2293	C₂²	1	1	yes	characteristic
82	#2290	—	2	1	no	—
83	C₂×#388	—	2	1	no	—
84	#2276	C₂²	1	1	yes	characteristic, complemented
85	#2275	C₂²	1	1	yes	characteristic
86	C₄²×D₄	C₂²	1	1	yes	characteristic
87	#2101	C₂²	1	1	yes	characteristic, complemented
88	#2101	C₂²	1	1	yes	characteristic, complemented
89	#2099	C₂²	1	1	yes	characteristic, complemented
90	#2097	C₂²	1	1	yes	characteristic, complemented
91	#2094	C₂²	1	1	yes	characteristic, complemented
92	#2092	C₂²	1	1	yes	characteristic
93	#2088	C₂²	1	1	yes	characteristic, complemented
94	#2087	C₂²	1	1	yes	characteristic, complemented
95	#2085	C₂²	1	1	yes	characteristic, complemented
96	#2085	C₂²	1	1	yes	characteristic, complemented
97	#2083	C₂²	1	1	yes	characteristic, complemented
98	#2077	C₂²	1	1	yes	characteristic
99	#2077	C₂²	1	1	yes	characteristic
100	#2077	C₂²	1	1	yes	characteristic
101	#2075	C₂²	1	1	yes	characteristic
102	#2073	C₂²	1	1	yes	characteristic
103	#2073	C₂²	1	1	yes	characteristic, complemented
104	#2072	C₂²	1	1	yes	characteristic, complemented
105	#2067	C₂²	1	1	yes	characteristic
106	#2067	C₂²	1	1	yes	characteristic, complemented
107	#2066	C₂²	1	1	yes	characteristic, complemented
108	#2065	C₂²	1	1	yes	characteristic
109	#2059	C₂²	1	1	yes	characteristic, complemented
110	#2055	C₂²	1	1	yes	characteristic
111	#2054	C₂²	1	1	yes	characteristic
112	#2042	C₂²	1	1	yes	characteristic, complemented
113	#2036	C₂²	1	1	yes	characteristic
114	#2036	C₂²	1	1	yes	characteristic
115	#2034	C₂²	1	1	yes	characteristic
116	#2033	C₂²	1	1	yes	characteristic
117	#2025	C₂²	1	1	yes	characteristic
118	#2012	C₂²	1	1	yes	characteristic
119	#1989	C₂²	1	1	yes	characteristic, complemented
120	#1983	C₂²	1	1	yes	characteristic, complemented
121	#1972	C₂²	1	1	yes	characteristic
122	#1970	C₂²	1	1	yes	characteristic
123	#1949	C₂²	1	1	yes	characteristic, complemented
124	#1949	C₂²	1	1	yes	characteristic, complemented
125	#1944	C₂²	1	1	yes	characteristic, complemented
126	#1941	C₂²	1	1	yes	characteristic, complemented
127	#1936	C₂²	1	1	yes	characteristic
128	#1936	C₂²	1	1	yes	characteristic, complemented
129	#1934	C₂²	1	1	yes	characteristic
130	#1934	C₂²	1	1	yes	characteristic, complemented
131	#1928	C₂²	1	1	yes	characteristic, complemented
132	#1926	C₂²	1	1	yes	characteristic
133	#1926	C₂²	1	1	yes	characteristic, complemented
134	#1925	C₂²	1	1	yes	characteristic
135	#1925	C₂²	1	1	yes	characteristic, complemented
136	#1925	C₂²	1	1	yes	characteristic, complemented
137	#1924	C₂²	1	1	yes	characteristic
138	#1924	C₂²	1	1	yes	characteristic
139	#1923	C₂²	1	1	yes	characteristic
140	#1923	C₂²	1	1	yes	characteristic
141	#1921	C₂²	1	1	yes	characteristic, complemented
142	#1921	C₂²	1	1	yes	characteristic, complemented
143	#1921	C₂²	1	1	yes	characteristic, complemented
144	#1920	C₂²	1	1	yes	characteristic, complemented
145	#1918	C₂²	1	1	yes	characteristic, complemented
146	#1918	C₂²	1	1	yes	characteristic, complemented
147	#1917	C₂²	1	1	yes	characteristic, complemented
148	#1917	C₂²	1	1	yes	characteristic, complemented
149	#1916	C₂²	1	1	yes	characteristic, complemented
150	#1916	C₂²	1	1	yes	characteristic, complemented
151	#1880	C₂²	1	1	yes	characteristic
152	#1880	C₂²	1	1	yes	characteristic
153	#1879	C₂²	1	1	yes	characteristic
154	#1879	C₂²	1	1	yes	characteristic
155	#1879	C₂²	1	1	yes	characteristic
156	#1879	C₂²	1	1	yes	characteristic
157	#1879	C₂²	1	1	yes	characteristic
158	#1877	C₂²	1	1	yes	characteristic
159	#1877	C₂²	1	1	yes	characteristic
160	#1877	C₂²	1	1	yes	characteristic
161	#1875	C₂²	1	1	yes	characteristic
162	#1873	C₂²	1	1	yes	characteristic
163	#1865	C₂²	1	1	yes	characteristic, complemented
164	#1864	C₂²	1	1	yes	characteristic
165	#1864	C₂²	1	1	yes	characteristic
166	#1864	C₂²	1	1	yes	characteristic
167	#1863	C₂²	1	1	yes	characteristic, complemented
168	#1862	C₂²	1	1	yes	characteristic
169	#1862	C₂²	1	1	yes	characteristic
170	#1862	C₂²	1	1	yes	characteristic
171	#1862	C₂²	1	1	yes	characteristic
172	#1862	C₂²	1	1	yes	characteristic
173	#1854	C₂²	1	1	yes	characteristic
174	#1854	C₂²	1	1	yes	characteristic
175	#1804	C₂²	1	1	yes	characteristic
176	#1804	C₂²	1	1	yes	characteristic
177	#1786	C₂²	1	1	yes	characteristic
178	#1786	C₂²	1	1	yes	characteristic
179	#1776	C₂²	1	1	yes	characteristic, complemented
180	#1776	C₂²	1	1	yes	characteristic, complemented
181	C₄×#107	C₂²	1	1	yes	characteristic, complemented
182	C₄×#106	C₂²	1	1	yes	characteristic, complemented
183	C₄×#106	C₂²	1	1	yes	characteristic, complemented
184	C₄×#106	C₂²	1	1	yes	characteristic, complemented
185	#1767	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
187	#1763	C₂²	1	1	yes	characteristic, complemented
188	#1763	C₂²	1	1	yes	characteristic, complemented
189	#1763	C₂²	1	1	yes	characteristic, complemented
190	#1762	C₂²	1	1	yes	characteristic
191	#1762	C₂²	1	1	yes	characteristic
192	#1762	C₂²	1	1	yes	characteristic
193	#1762	C₂²	1	1	yes	characteristic
194	#1762	C₂²	1	1	yes	characteristic, complemented
195	C₄×#103	C₂²	1	1	yes	characteristic, complemented
196	C₄×#102	C₂²	1	1	yes	characteristic
197	C₄×#102	C₂²	1	1	yes	characteristic
198	C₄×#102	C₂²	1	1	yes	characteristic, complemented
199	#1750	C₂²	1	1	yes	characteristic
200	#1750	C₂²	1	1	yes	characteristic
201	#1746	C₂²	1	1	yes	characteristic, complemented
202	#1726	C₂²	1	1	yes	characteristic, complemented
203	C₂³×D₄	C₂³	1	1	yes	characteristic
204	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×D₈	C₂³	1	1	yes	characteristic
207	C₂²×D₈	C₂³	1	1	yes	characteristic
208	C₂×#125	C₂³	1	1	yes	characteristic
209	C₂×#124	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₂×#121	C₂³	1	1	yes	characteristic
212	#518	—	2	4	no	—
213	#518	—	2	4	no	—
214	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
216	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₄	—	2	1	no	—
218	C₂×C₄×D₄	—	2	1	no	—
219	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₂×#117	—	2	1	no	—
229	C₂×#117	—	2	1	no	—
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×C₂²⋊C₄	—	2	1	no	—
234	C₂²×C₂²⋊C₄	—	2	1	no	—
235	C₂²×C₂²⋊C₄	—	2	1	no	—
236	C₂²×C₂²⋊C₄	—	2	1	no	—
237	C₂²×C₄²	—	2	1	no	—
238	#478	—	2	4	no	—
239	#463	—	2	4	no	—
240	#450	—	2	4	no	—
241	#447	—	2	4	no	—
242	#442	—	2	4	no	—
243	#440	—	2	4	no	—
244	C₄×SD₁₆	—	2	4	no	—
245	C₄×SD₁₆	—	2	4	no	—
246	C₄×SD₁₆	—	2	4	no	—
247	C₄×D₈	—	2	4	no	—
248	C₂×#107	C₂³	1	1	yes	characteristic
249	C₂×#107	C₂³	1	1	yes	characteristic
250	C₂×#107	C₂³	1	1	yes	characteristic
251	C₂×#107	C₂³	1	1	yes	characteristic
252	C₂×#107	C₂³	1	1	yes	characteristic
253	C₂×#107	C₂³	1	1	yes	characteristic
254	C₂×#106	C₂³	1	1	yes	characteristic
255	C₂×#106	C₂³	1	1	yes	characteristic
256	C₂×#106	C₂³	1	1	yes	characteristic
257	C₂×#106	C₂³	1	1	yes	characteristic
258	C₂×#106	C₂³	1	1	yes	characteristic
259	C₂×#106	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	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×#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×#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×#102	C₂³	1	1	yes	characteristic
282	C₂×#102	C₂³	1	1	yes	characteristic
283	C₂×#102	C₂³	1	1	yes	characteristic
284	C₂×#102	C₂³	1	1	yes	characteristic
285	C₂×#102	C₂³	1	1	yes	characteristic
286	C₂×#102	C₂³	1	1	yes	characteristic
287	C₂×#102	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×#97	C₂³	1	1	yes	characteristic
293	C₂×#97	C₂³	1	1	yes	characteristic
294	C₂×#97	C₂³	1	1	yes	characteristic
295	C₂×#97	C₂³	1	1	yes	characteristic
296	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#398	—	2	1	no	—
306	#398	—	2	1	no	—
307	#397	—	2	1	no	—
308	#397	—	2	1	no	—
309	#397	—	2	1	no	—
310	#397	—	2	1	no	—
311	#397	—	2	1	no	—
312	#397	—	2	1	no	—
313	#396	—	2	1	no	—
314	#394	—	2	1	no	—
315	#394	—	2	1	no	—
316	#391	C₂³	1	1	yes	characteristic
317	#391	C₂³	1	1	yes	characteristic
318	#390	—	2	1	no	—
319	#390	—	2	1	no	—
320	#390	—	2	1	no	—
321	#390	C₂³	1	1	yes	characteristic
322	#390	C₂³	1	1	yes	characteristic
323	#390	C₂³	1	1	yes	characteristic
324	#390	C₂³	1	1	yes	characteristic
325	#390	C₂³	1	1	yes	characteristic
326	#390	C₂³	1	1	yes	characteristic
327	#390	C₂³	1	1	yes	characteristic
328	#390	C₂³	1	1	yes	characteristic
329	#389	—	2	1	no	—
330	#389	—	2	1	no	—
331	#389	C₂³	1	1	yes	characteristic
332	#389	C₂³	1	1	yes	characteristic
333	#389	C₂³	1	1	yes	characteristic
334	#389	C₂³	1	1	yes	characteristic
335	#389	C₂³	1	1	yes	characteristic
336	#389	C₂³	1	1	yes	characteristic
337	#389	C₂³	1	1	yes	characteristic
338	#389	C₂³	1	1	yes	characteristic
339	#389	C₂³	1	1	yes	characteristic
340	#389	C₂³	1	1	yes	characteristic
341	#388	—	2	1	no	—
342	#388	—	2	1	no	—
343	#388	—	2	1	no	—
344	#388	—	2	1	no	—
345	#388	—	2	1	no	—
346	#388	—	2	1	no	—
347	#388	—	2	1	no	—
348	#388	—	2	1	no	—
349	#388	—	2	1	no	—
350	#388	—	2	1	no	—
351	#388	—	2	1	no	—
352	#388	—	2	1	no	—
353	#388	—	2	1	no	—
354	#388	—	2	1	no	—
355	#388	—	2	1	no	—
356	#388	—	2	1	no	—
357	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
371	#388	D₄	1	1	yes	characteristic
372	#388	D₄	1	1	yes	characteristic
373	#388	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
383	#387	D₄	1	1	yes	characteristic
384	#387	D₄	1	1	yes	characteristic
385	#387	D₄	1	1	yes	characteristic
386	#386	—	2	1	no	—
387	#386	—	2	1	no	—
388	#386	—	2	1	no	—
389	#386	—	2	1	no	—
390	#386	—	2	1	no	—
391	#385	—	2	1	no	—
392	#385	—	2	1	no	—
393	#385	—	2	1	no	—
394	#385	—	2	1	no	—
395	#385	—	2	1	no	—
396	#384	C₂³	1	1	yes	characteristic
397	#383	—	2	1	no	—
398	#383	—	2	1	no	—
399	#382	—	2	1	no	—
400	#382	—	2	1	no	—
401	#382	C₂³	1	1	yes	characteristic
402	#382	C₂³	1	1	yes	characteristic
403	#382	C₂³	1	1	yes	characteristic
404	#381	—	2	1	no	—
405	#381	—	2	1	no	—
406	#381	—	2	1	no	—
407	#380	—	2	1	no	—
408	#380	—	2	1	no	—
409	#380	—	2	1	no	—
410	#380	—	2	1	no	—
411	#380	—	2	1	no	—
412	#380	C₂³	1	1	yes	characteristic
413	#380	C₂³	1	1	yes	characteristic
414	#380	C₂³	1	1	yes	characteristic
415	#380	C₂³	1	1	yes	characteristic
416	#379	—	2	1	no	—
417	#379	—	2	1	no	—
418	C₄×C₄⋊C₄	—	2	1	no	—
419	C₄×C₄⋊C₄	—	2	1	no	—
420	C₄×C₄⋊C₄	—	2	1	no	—
421	C₄×C₄⋊C₄	—	2	1	no	—
422	C₄×C₄⋊C₄	—	2	1	no	—
423	C₄×C₄⋊C₄	—	2	1	no	—
424	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
437	C₄×C₂²⋊C₄	—	2	1	no	—
438	C₄×C₂²⋊C₄	—	2	1	no	—
439	C₄×C₂²⋊C₄	—	2	1	no	—
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	#376	—	2	1	no	—
449	#376	—	2	1	no	—
450	#376	C₂³	1	1	yes	characteristic
451	C₂×#95	—	2	1	no	—
452	C₂×#95	—	2	1	no	—
453	C₄³	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	#340	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	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	C₂⁵	—	2	1	no	—
491	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
492	C₂²×D₄	—	2	2	no	—
493	C₂²×D₄	—	2	2	no	—
494	C₂²×D₄	—	2	2	no	—
495	C₂²×D₄	—	2	2	no	—
496	C₂²×D₄	—	2	1	no	—
497	C₂²×D₄	—	2	1	no	—
498	C₂²×D₄	—	4	1	no	—
499	C₂²×D₄	—	4	1	no	—
500	C₂²×D₄	C₂⁴	1	1	yes	characteristic
501	C₂²×D₄	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	C₂⁴	1	1	yes	characteristic
503	C₂³×C₄	—	2	1	no	—
504	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	—	2	1	no	—
506	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	—	2	1	no	—
508	C₂³×C₄	—	2	1	no	—
509	C₂³×C₄	—	2	1	no	—
510	C₂³×C₄	—	2	1	no	—
511	C₂³×C₄	—	2	1	no	—
512	C₂³×C₄	C₂⁴	1	1	yes	characteristic
513	C₂×SD₁₆	—	2	2	no	—
514	C₂×SD₁₆	—	2	2	no	—
515	C₂×SD₁₆	—	2	2	no	—
516	C₂×SD₁₆	—	2	2	no	—
517	C₂×SD₁₆	—	4	1	no	—
518	C₂×SD₁₆	#41	1	4	yes	—
519	C₂×D₈	—	2	2	no	—
520	C₂×D₈	—	2	2	no	—
521	C₂×D₈	—	2	2	no	—
522	C₂×D₈	—	2	2	no	—
523	C₂×D₈	—	2	2	no	—
524	C₂×D₈	—	4	1	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	#125	—	2	2	no	—
534	#125	—	4	1	no	—
535	#124	—	2	2	no	—
536	#124	—	4	1	no	—
537	C₂²⋊Q₈	—	2	2	no	—
538	C₂²⋊Q₈	—	4	1	no	—
539	#121	—	2	2	no	—
540	#121	—	4	1	no	—
541	C₄×Q₈	—	2	2	no	—
542	C₄×Q₈	—	2	2	no	—
543	C₄×Q₈	—	2	2	no	—
544	C₄×Q₈	—	2	2	no	—
545	C₄×Q₈	—	4	1	no	—
546	C₄×Q₈	—	4	1	no	—
547	C₄×D₄	—	2	8	no	—
548	C₄×D₄	—	2	8	no	—
549	C₄×D₄	—	2	2	no	—
550	C₄×D₄	—	2	2	no	—
551	C₄×D₄	—	2	2	no	—
552	C₄×D₄	—	2	2	no	—
553	C₄×D₄	—	2	2	no	—
554	C₄×D₄	—	2	2	no	—
555	C₄×D₄	—	2	2	no	—
556	C₄×D₄	—	2	2	no	—
557	C₄×D₄	—	2	2	no	—
558	C₄×D₄	—	2	2	no	—
559	C₄×D₄	—	2	2	no	—
560	C₄×D₄	—	2	2	no	—
561	C₄×D₄	—	4	1	no	—
562	C₄×D₄	—	4	1	no	—
563	C₄×D₄	—	4	1	no	—
564	C₄×D₄	—	4	1	no	—
565	C₄×D₄	#41	1	4	yes	—
566	C₄×D₄	#41	1	4	yes	—
567	#117	—	2	2	no	—
568	#117	—	2	2	no	—
569	#117	—	2	2	no	—
570	#117	—	2	2	no	—
571	#117	—	8	2	no	—
572	#117	—	8	2	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	—	8	2	no	—
592	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	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×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×C₂²⋊C₄	—	2	8	no	—
611	C₂×C₂²⋊C₄	—	2	8	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	—	2	1	no	—
634	C₂×C₂²⋊C₄	—	2	1	no	—
635	C₂×C₂²⋊C₄	—	2	1	no	—
636	C₂×C₂²⋊C₄	—	2	1	no	—
637	C₂×C₂²⋊C₄	—	2	1	no	—
638	C₂×C₂²⋊C₄	—	2	1	no	—
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	—	2	1	no	—
641	C₂×C₂²⋊C₄	—	2	1	no	—
642	C₂×C₂²⋊C₄	—	2	1	no	—
643	C₂×C₂²⋊C₄	—	2	1	no	—
644	C₂×C₂²⋊C₄	—	2	1	no	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	8	2	no	—
647	C₂×C₂²⋊C₄	—	8	2	no	—
648	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄²	—	2	1	no	—
655	C₂×C₄²	—	2	1	no	—
656	C₂×C₄²	—	2	1	no	—
657	C₂×C₄²	—	2	1	no	—
658	C₂×C₄²	—	2	1	no	—
659	C₂×C₄²	—	2	1	no	—
660	C₂×C₄²	—	2	1	no	—
661	C₂×C₄²	—	2	1	no	—
662	C₂×C₄²	—	2	1	no	—
663	C₂×C₄²	—	2	1	no	—
664	C₂×C₄²	—	2	1	no	—
665	C₂×C₄²	—	2	1	no	—
666	C₂×C₄²	—	2	1	no	—
667	C₂×C₄²	—	2	1	no	—
668	C₂×C₄²	—	8	2	no	—
669	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
670	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
671	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
672	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
676	C₂×C₄²	C₂⁴	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	#107	—	2	2	no	—
680	#107	—	2	2	no	—
681	#107	—	2	2	no	—
682	#107	—	4	1	no	—
683	#107	—	4	1	no	—
684	#107	—	4	1	no	—
685	#106	—	2	2	no	—
686	#106	—	2	2	no	—
687	#106	—	2	2	no	—
688	#106	—	2	2	no	—
689	#106	—	2	2	no	—
690	#106	—	4	1	no	—
691	C₄⋊C₈	—	2	2	no	—
692	C₄⋊C₈	—	2	2	no	—
693	C₄⋊C₈	—	4	1	no	—
694	C₄⋊C₈	—	4	1	no	—
695	#103	—	2	2	no	—
696	#103	—	2	2	no	—
697	#103	—	2	2	no	—
698	#103	—	2	2	no	—
699	#103	—	2	2	no	—
700	#103	—	4	1	no	—
701	#102	—	2	2	no	—
702	#102	—	2	2	no	—
703	#102	—	2	2	no	—
704	#102	—	2	2	no	—
705	#102	—	2	2	no	—
706	#102	—	2	2	no	—
707	#102	—	2	2	no	—
708	#102	—	2	2	no	—
709	#102	—	2	2	no	—
710	#102	—	2	2	no	—
711	#102	—	2	2	no	—
712	#102	—	2	2	no	—
713	#102	—	4	1	no	—
714	#102	—	4	1	no	—
715	#102	—	4	1	no	—
716	#102	—	4	1	no	—
717	#102	—	4	1	no	—
718	#102	#41	1	4	yes	—
719	C₂²⋊C₈	—	2	2	no	—
720	C₂²⋊C₈	—	2	2	no	—
721	C₂²⋊C₈	—	4	1	no	—
722	C₂²⋊C₈	—	4	1	no	—
723	#97	—	2	2	no	—
724	#97	—	2	2	no	—
725	#97	—	4	1	no	—
726	#97	—	4	1	no	—
727	C₄×C₈	—	2	2	no	—
728	C₄×C₈	—	2	2	no	—
729	C₄×C₈	—	2	2	no	—
730	C₄×C₈	—	2	2	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	—	2	1	no	—
764	#95	—	2	1	no	—
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	#95	C₂×D₄	1	1	yes	characteristic
774	#95	C₂×D₄	1	1	yes	characteristic
775	#95	C₂×D₄	1	1	yes	characteristic
776	#95	C₂×D₄	1	1	yes	characteristic
777	C₂⁴	—	2	1	no	—
778	C₂⁴	—	2	4	no	—
779	C₂⁴	—	2	1	no	—
780	C₂⁴	—	2	1	no	—
781	C₂⁴	—	4	2	no	—
782	C₂⁴	—	4	2	no	—
783	C₂⁴	—	8	1	no	—
784	C₂⁴	—	8	1	no	—
785	C₂⁴	—	8	1	no	—
786	C₂⁴	—	8	1	no	—
787	C₂⁴	C₂²×D₄	1	1	yes	characteristic
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	C₂×#41	1	2	yes	—
794	C₂×D₄	—	2	4	no	—
795	C₂×D₄	—	2	1	no	—
796	C₂×D₄	—	2	1	no	—
797	C₂×D₄	—	2	1	no	—
798	C₂×D₄	—	2	1	no	—
799	C₂×D₄	—	2	1	no	—
800	C₂×D₄	—	2	1	no	—
801	C₂×D₄	—	2	1	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	—	2	1	no	—
809	C₂×D₄	—	4	2	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂×D₄	—	4	2	no	—
812	C₂×D₄	—	4	4	no	—
813	C₂×D₄	—	4	4	no	—
814	C₂×D₄	—	4	4	no	—
815	C₂×D₄	—	4	4	no	—
816	C₂×D₄	—	8	1	no	—
817	C₂×D₄	—	8	1	no	—
818	C₂×D₄	C₂×#41	1	2	yes	—
819	C₂×D₄	C₂×#41	1	2	yes	—
820	C₂×D₄	C₂×#41	1	2	yes	—
821	C₂×D₄	C₂×#41	1	2	yes	—
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	4	no	—
827	C₂²×C₄	—	2	4	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	4	no	—
835	C₂²×C₄	—	2	4	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	—	2	1	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	8	1	no	—
853	C₂²×C₄	—	8	1	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	—	8	1	no	—
862	C₂²×C₄	—	8	1	no	—
863	C₂²×C₄	—	8	1	no	—
864	C₂²×C₄	—	8	1	no	—
865	C₂²×C₄	—	8	1	no	—
866	C₂²×C₄	—	8	1	no	—
867	C₂²×C₄	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
874	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
875	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
876	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
877	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
878	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
879	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
880	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
881	C₂²×C₄	C₂⁵	1	1	yes	characteristic
882	SD₁₆	—	2	8	no	—
883	SD₁₆	—	4	4	no	—
884	D₈	—	4	4	no	—
885	D₈	—	4	4	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	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	C₂×#41	1	2	yes	—
909	C₂×C₈	C₂×#41	1	2	yes	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	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	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	4	1	no	—
934	C₄⋊C₄	—	4	1	no	—
935	C₄⋊C₄	—	4	1	no	—
936	C₄⋊C₄	—	4	1	no	—
937	C₄⋊C₄	—	4	2	no	—
938	C₄⋊C₄	—	4	2	no	—
939	C₄⋊C₄	—	4	2	no	—
940	C₄⋊C₄	—	4	2	no	—
941	C₄⋊C₄	—	4	2	no	—
942	C₄⋊C₄	—	4	2	no	—
943	C₄⋊C₄	—	4	2	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	—	8	1	no	—
954	C₄⋊C₄	—	8	1	no	—
955	C₄⋊C₄	C₂×#41	1	2	yes	—
956	C₄⋊C₄	C₂×#41	1	2	yes	—
957	C₄⋊C₄	C₂×#41	1	2	yes	—
958	C₂²⋊C₄	—	2	4	no	—
959	C₂²⋊C₄	—	2	4	no	—
960	C₂²⋊C₄	—	2	4	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	4	no	—
964	C₂²⋊C₄	—	2	4	no	—
965	C₂²⋊C₄	—	4	1	no	—
966	C₂²⋊C₄	—	4	1	no	—
967	C₂²⋊C₄	—	4	1	no	—
968	C₂²⋊C₄	—	4	1	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	—	4	2	no	—
974	C₂²⋊C₄	—	4	2	no	—
975	C₂²⋊C₄	—	4	2	no	—
976	C₂²⋊C₄	—	4	2	no	—
977	C₂²⋊C₄	—	4	2	no	—
978	C₂²⋊C₄	—	4	2	no	—
979	C₂²⋊C₄	—	4	2	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	C₂²⋊C₄	—	8	1	no	—
986	C₂²⋊C₄	—	8	1	no	—
987	C₂²⋊C₄	—	8	1	no	—
988	C₂²⋊C₄	—	8	1	no	—
989	C₂²⋊C₄	—	8	1	no	—
990	C₂²⋊C₄	—	8	1	no	—
991	C₂²⋊C₄	—	8	1	no	—
992	C₂²⋊C₄	—	8	1	no	—
993	C₂²⋊C₄	—	8	1	no	—
994	C₂²⋊C₄	—	8	1	no	—
995	C₂²⋊C₄	—	8	1	no	—
996	C₂²⋊C₄	—	8	1	no	—
997	C₂²⋊C₄	—	8	1	no	—
998	C₄²	—	2	4	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	4	1	no	—
1010	C₄²	—	4	1	no	—
1011	C₄²	—	4	1	no	—
1012	C₄²	—	4	1	no	—
1013	C₄²	—	4	2	no	—
1014	C₄²	—	4	2	no	—
1015	C₄²	—	4	2	no	—
1016	C₄²	—	4	2	no	—
1017	C₄²	—	8	1	no	—
1018	C₄²	—	8	1	no	—
1019	C₄²	—	8	1	no	—
1020	C₄²	—	8	1	no	—
1021	C₄²	—	8	1	no	—
1022	C₄²	—	8	1	no	—
1023	C₄²	—	8	1	no	—
1024	C₄²	—	8	1	no	—
1025	C₄²	—	8	1	no	—
1026	C₄²	C₂×#41	1	2	yes	—
1027	C₄²	C₂×#41	1	2	yes	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	4	8	no	—
1040	C₂³	—	4	1	no	—
1041	C₂³	—	4	1	no	—
1042	C₂³	—	4	1	no	—
1043	C₂³	—	4	1	no	—
1044	C₂³	—	4	1	no	—
1045	C₂³	—	4	1	no	—
1046	C₂³	—	4	1	no	—
1047	C₂³	—	4	1	no	—
1048	C₂³	—	4	1	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	4	1	no	—
1051	C₂³	—	4	1	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	—	4	1	no	—
1054	C₂³	—	4	1	no	—
1055	C₂³	—	4	1	no	—
1056	C₂³	—	4	1	no	—
1057	C₂³	—	8	4	no	—
1058	C₂³	—	8	4	no	—
1059	C₂³	—	16	2	no	—
1060	C₂³	—	16	2	no	—
1061	C₂³	—	16	2	no	—
1062	C₂³	—	16	2	no	—
1063	C₂³	C₂³×D₄	1	1	yes	characteristic
1064	Q₈	—	2	2	no	—
1065	Q₈	—	2	2	no	—
1066	Q₈	—	4	1	no	—
1067	Q₈	—	4	1	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	2	2	no	—
1072	D₄	—	2	2	no	—
1073	D₄	—	4	8	no	—
1074	D₄	—	4	1	no	—
1075	D₄	—	4	1	no	—
1076	D₄	—	4	1	no	—
1077	D₄	—	4	1	no	—
1078	D₄	—	4	1	no	—
1079	D₄	—	4	1	no	—
1080	D₄	—	16	2	no	—
1081	D₄	#529	1	4	yes	—
1082	C₂×C₄	—	2	1	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	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	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	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	1	no	—
1150	C₂×C₄	—	4	1	no	—
1151	C₂×C₄	—	4	1	no	—
1152	C₂×C₄	—	4	1	no	—
1153	C₂×C₄	—	4	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	1	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	8	4	no	—
1163	C₂×C₄	—	8	4	no	—
1164	C₂×C₄	—	8	4	no	—
1165	C₂×C₄	—	8	4	no	—
1166	C₂×C₄	—	8	4	no	—
1167	C₂×C₄	—	8	4	no	—
1168	C₂×C₄	—	16	2	no	—
1169	C₂×C₄	—	16	2	no	—
1170	C₂×C₄	—	16	2	no	—
1171	C₂×C₄	#525	1	2	yes	—
1172	C₂×C₄	#525	1	2	yes	—
1173	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1174	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1175	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1176	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1177	C₂×C₄	#585	1	1	yes	characteristic
1178	C₂×C₄	#585	1	1	yes	characteristic
1179	C₈	—	2	2	no	—
1180	C₈	—	2	2	no	—
1181	C₈	—	4	1	no	—
1182	C₈	—	4	1	no	—
1183	C₈	—	4	1	no	—
1184	C₈	—	4	1	no	—
1185	C₈	—	4	1	no	—
1186	C₈	—	4	1	no	—
1187	C₂²	—	2	4	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	2	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	2	no	—
1192	C₂²	—	4	2	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	2	no	—
1202	C₂²	—	4	2	no	—
1203	C₂²	—	4	1	no	—
1204	C₂²	—	8	1	no	—
1205	C₂²	—	8	1	no	—
1206	C₂²	—	8	1	no	—
1207	C₂²	—	8	1	no	—
1208	C₂²	—	8	1	no	—
1209	C₂²	—	8	1	no	—
1210	C₂²	—	8	1	no	—
1211	C₂²	—	8	1	no	—
1212	C₂²	—	8	1	no	—
1213	C₂²	—	8	1	no	—
1214	C₂²	—	8	1	no	—
1215	C₂²	—	16	8	no	—
1216	C₂²	C₂×#525	1	1	yes	characteristic
1217	C₂²	D₄×#41	1	1	yes	characteristic
1218	C₂²	D₄×#41	1	1	yes	characteristic
1219	C₂²	#3584	1	1	yes	characteristic
1220	C₂²	#3584	1	1	yes	characteristic
1221	C₂²	#3585	1	1	yes	characteristic
1222	C₂²	#3585	1	1	yes	characteristic
1223	C₄	—	2	2	no	—
1224	C₄	—	2	2	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	1	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	2	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	2	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	2	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	2	no	—
1240	C₄	—	8	1	no	—
1241	C₄	—	8	1	no	—
1242	C₄	—	8	1	no	—
1243	C₄	—	8	1	no	—
1244	C₄	—	8	1	no	—
1245	C₄	—	8	1	no	—
1246	C₄	—	8	1	no	—
1247	C₄	—	8	1	no	—
1248	C₄	—	8	1	no	—
1249	C₄	C₂×#529	1	1	yes	characteristic
1250	C₄	#3455	1	1	yes	characteristic
1251	C₄	#3475	1	1	yes	characteristic
1252	C₄	#3475	1	1	yes	characteristic
1253	C₂	—	4	4	no	—
1254	C₂	—	8	1	no	—
1255	C₂	—	8	2	no	—
1256	C₂	—	16	1	no	—
1257	C₂	#34740	1	1	yes	characteristic
1258	C₂	#60592	1	1	yes	characteristic
1259	C₂	#60601	1	1	yes	characteristic
1260	C₂	#61486	1	1	yes	characteristic
1261	C₂	#61504	1	1	yes	characteristic
1262	C₂	#61527	1	1	yes	characteristic
1263	C₂	#61536	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#447	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2298 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #35651	C₂	semidirect
2. #34261	C₂	semidirect
3. #27581	C₂	semidirect
4. #27534	C₂	semidirect
5. #27493	C₂	semidirect
6. #27466	C₂	semidirect
7. #27440	C₂	semidirect
8. #27417	C₂	semidirect
9. #27370	C₂	semidirect
10. #27336	C₂	semidirect
11. #27310	C₂	semidirect
13. #27217	C₂	semidirect
14. #27189	C₂	semidirect
15. #26378	C₂	semidirect
16. #26172	C₂	semidirect
18. #24905	C₂	semidirect
19. #23778	C₂	semidirect
20. #23773	C₂	semidirect
21. #23766	C₂	semidirect
22. #23686	C₂	semidirect
23. #21617	C₂	semidirect
24. C₄×#463	C₂	semidirect
25. #21459	C₂	semidirect
27. #21436	C₂	semidirect
28. #21290	C₂	semidirect
29. #21129	C₂	semidirect
30. #21128	C₂	semidirect
31. #20506	C₂	semidirect
51. #2513	C₂²	semidirect
52. #2508	C₂²	semidirect
55. #2453	C₂²	semidirect
56. #2448	C₂²	semidirect
74. #2319	C₂²	semidirect
78. C₄×#125	C₂²	semidirect
79. C₄×#124	C₂²	semidirect
84. #2276	C₂²	semidirect
87. #2101	C₂²	semidirect
88. #2101	C₂²	semidirect
89. #2099	C₂²	semidirect
90. #2097	C₂²	semidirect
91. #2094	C₂²	semidirect
93. #2088	C₂²	semidirect
94. #2087	C₂²	semidirect
95. #2085	C₂²	semidirect
96. #2085	C₂²	semidirect
97. #2083	C₂²	semidirect
103. #2073	C₂²	semidirect
104. #2072	C₂²	semidirect
106. #2067	C₂²	semidirect
107. #2066	C₂²	semidirect
109. #2059	C₂²	semidirect
112. #2042	C₂²	semidirect
119. #1989	C₂²	semidirect
120. #1983	C₂²	semidirect
123. #1949	C₂²	semidirect
124. #1949	C₂²	semidirect
125. #1944	C₂²	semidirect
126. #1941	C₂²	semidirect
128. #1936	C₂²	semidirect
130. #1934	C₂²	semidirect
131. #1928	C₂²	semidirect
133. #1926	C₂²	semidirect
135. #1925	C₂²	semidirect
136. #1925	C₂²	semidirect
141. #1921	C₂²	semidirect
142. #1921	C₂²	semidirect
143. #1921	C₂²	semidirect
144. #1920	C₂²	semidirect
145. #1918	C₂²	semidirect
146. #1918	C₂²	semidirect
147. #1917	C₂²	semidirect
148. #1917	C₂²	semidirect
149. #1916	C₂²	semidirect
150. #1916	C₂²	semidirect
163. #1865	C₂²	semidirect
167. #1863	C₂²	semidirect
179. #1776	C₂²	semidirect
180. #1776	C₂²	semidirect
181. C₄×#107	C₂²	semidirect
182. C₄×#106	C₂²	semidirect
183. C₄×#106	C₂²	semidirect
184. C₄×#106	C₂²	semidirect
185. #1767	C₂²	semidirect
186. C₄×C₄⋊C₈	C₂²	semidirect
187. #1763	C₂²	semidirect
188. #1763	C₂²	semidirect
189. #1763	C₂²	semidirect
194. #1762	C₂²	semidirect
195. C₄×#103	C₂²	semidirect
198. C₄×#102	C₂²	semidirect
201. #1746	C₂²	semidirect
202. #1726	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#35651	2
#34261	2
#27581	2
#27534	2
#27493	2
#27466	2
#27440	2
#27417	2
#27370	2
#27336	2
#27310	2
#27240	2
#27217	2
#27189	2
#26378	2
#26172	2
#25152	2
#24905	2
#23778	2
#23773	2
#23766	2
#23686	2
#21617	2
C₄×#463	2
#21459	2
#21458	2
#21436	2
#21290	2
#21129	2
#21128	2
#20506	2