Subgroups — #7408946

Order 512.

1421 conjugacy classes of subgroups.

The subgroup lattice has 1277 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#45030	C₂	1	1	yes	maximal, characteristic, complemented
2	#42634	C₂	1	1	yes	maximal, characteristic, complemented
3	#32472	C₂	1	1	yes	maximal, characteristic, complemented
4	#32103	C₂	1	1	yes	maximal, characteristic, complemented
5	#32083	C₂	1	1	yes	maximal, characteristic, complemented
6	#31882	C₂	1	1	yes	maximal, characteristic, complemented
7	#31628	C₂	1	1	yes	maximal, characteristic, complemented
8	#31592	C₂	1	1	yes	maximal, characteristic, complemented
9	#31302	C₂	1	1	yes	maximal, characteristic, complemented
10	#31179	C₂	1	1	yes	maximal, characteristic, complemented
11	#31119	C₂	1	1	yes	maximal, characteristic, complemented
12	#31008	C₂	1	1	yes	maximal, characteristic
13	#30681	C₂	1	1	yes	maximal, characteristic, complemented
14	#30617	C₂	1	1	yes	maximal, characteristic, complemented
15	#30072	C₂	1	1	yes	maximal, characteristic, complemented
16	#29839	C₂	1	1	yes	maximal, characteristic, complemented
17	#29380	C₂	1	1	yes	maximal, characteristic, complemented
18	#28293	C₂	1	1	yes	maximal, characteristic, complemented
19	#27507	C₂	1	1	yes	maximal, characteristic, complemented
20	#27352	C₂	1	1	yes	maximal, characteristic, complemented
21	#26917	C₂	1	1	yes	maximal, characteristic, complemented
22	#26572	C₂	1	1	yes	maximal, characteristic, complemented
23	#26542	C₂	1	1	yes	maximal, characteristic, complemented
24	#26368	C₂	1	1	yes	maximal, characteristic, complemented
25	#25976	C₂	1	1	yes	maximal, characteristic, complemented
26	#25101	C₂	1	1	yes	maximal, characteristic
27	#24893	C₂	1	1	yes	maximal, characteristic
28	#24740	C₂	1	1	yes	maximal, characteristic, complemented
29	#24627	C₂	1	1	yes	maximal, characteristic, complemented
30	#24495	C₂	1	1	yes	maximal, characteristic, complemented
31	#23382	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#485	C₂²	1	1	yes	characteristic
33	C₂×#479	C₂²	1	1	yes	characteristic, complemented
34	C₂×#478	C₂²	1	1	yes	characteristic
35	C₂×#474	C₂²	1	1	yes	characteristic, complemented
36	C₂×#468	C₂²	1	1	yes	characteristic
37	C₂×#463	C₂²	1	1	yes	characteristic
38	C₂×#463	C₂²	1	1	yes	characteristic
39	C₂×#461	C₂²	1	1	yes	characteristic, complemented
40	C₂×#447	C₂²	1	1	yes	characteristic
41	C₂×#440	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
43	C₂×#418	C₂²	1	1	yes	characteristic
44	#2827	—	2	1	no	—
45	#2779	—	2	1	no	—
46	#2765	—	2	1	no	—
47	#2741	—	2	1	no	—
48	#2736	—	2	1	no	—
49	#2735	—	2	1	no	—
50	#2707	—	2	1	no	—
51	#2702	—	2	1	no	—
52	#2694	—	2	1	no	—
53	#2653	—	2	1	no	—
54	#2640	C₂²	1	1	yes	characteristic
55	#2626	—	2	1	no	—
56	#2611	—	2	1	no	—
57	#2552	C₂²	1	1	yes	characteristic, complemented
58	#2547	C₂²	1	1	yes	characteristic
59	#2545	C₂²	1	1	yes	characteristic
60	#2530	—	2	1	no	—
61	#2512	C₂²	1	1	yes	characteristic
62	#2507	C₂²	1	1	yes	characteristic, complemented
63	#2506	C₂²	1	1	yes	characteristic, complemented
64	#2497	C₂²	1	1	yes	characteristic
65	#2492	C₂²	1	1	yes	characteristic
66	#2480	—	2	1	no	—
67	#2454	C₂²	1	1	yes	characteristic, complemented
68	#2452	C₂²	1	1	yes	characteristic
69	#2448	C₂²	1	1	yes	characteristic
70	#2442	—	2	1	no	—
71	#2441	C₂²	1	1	yes	characteristic
72	#2435	C₂²	1	1	yes	characteristic
73	#2435	C₂²	1	1	yes	characteristic
74	#2429	C₂²	1	1	yes	characteristic
75	#2423	C₂²	1	1	yes	characteristic
76	#2422	C₂²	1	1	yes	characteristic
77	#2422	C₂²	1	1	yes	characteristic
78	#2413	—	2	1	no	—
79	#2401	C₂²	1	1	yes	characteristic
80	#2367	C₂²	1	1	yes	characteristic
81	#2363	C₂²	1	1	yes	characteristic
82	#2354	C₂²	1	1	yes	characteristic, complemented
83	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	#2346	C₂²	1	1	yes	characteristic
85	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
86	#2330	C₂²	1	1	yes	characteristic, complemented
87	#2326	C₂²	1	1	yes	characteristic
88	#2319	C₂²	1	1	yes	characteristic, complemented
89	#2099	C₂²	1	1	yes	characteristic, complemented
90	#2095	C₂²	1	1	yes	characteristic, complemented
91	#2095	C₂²	1	1	yes	characteristic, complemented
92	#2094	C₂²	1	1	yes	characteristic
93	#2094	C₂²	1	1	yes	characteristic, complemented
94	#2093	C₂²	1	1	yes	characteristic
95	#2093	C₂²	1	1	yes	characteristic
96	#2088	C₂²	1	1	yes	characteristic, complemented
97	#2086	C₂²	1	1	yes	characteristic, complemented
98	#2084	C₂²	1	1	yes	characteristic, complemented
99	#2083	C₂²	1	1	yes	characteristic, complemented
100	#2075	C₂²	1	1	yes	characteristic
101	#2071	C₂²	1	1	yes	characteristic
102	#2068	C₂²	1	1	yes	characteristic, complemented
103	#2068	C₂²	1	1	yes	characteristic, complemented
104	#2068	C₂²	1	1	yes	characteristic, complemented
105	#2067	C₂²	1	1	yes	characteristic
106	#2067	C₂²	1	1	yes	characteristic
107	#2067	C₂²	1	1	yes	characteristic
108	#2067	C₂²	1	1	yes	characteristic
109	#2067	C₂²	1	1	yes	characteristic
110	#2067	C₂²	1	1	yes	characteristic
111	#2066	C₂²	1	1	yes	characteristic, complemented
112	#2065	C₂²	1	1	yes	characteristic
113	#2057	C₂²	1	1	yes	characteristic, complemented
114	#2057	C₂²	1	1	yes	characteristic, complemented
115	#2055	C₂²	1	1	yes	characteristic, complemented
116	#2055	C₂²	1	1	yes	characteristic, complemented
117	#2055	C₂²	1	1	yes	characteristic, complemented
118	#2054	C₂²	1	1	yes	characteristic
119	#2054	C₂²	1	1	yes	characteristic
120	#2043	C₂²	1	1	yes	characteristic, complemented
121	#2043	C₂²	1	1	yes	characteristic, complemented
122	#2042	C₂²	1	1	yes	characteristic
123	#2042	C₂²	1	1	yes	characteristic
124	#2042	C₂²	1	1	yes	characteristic
125	#2042	C₂²	1	1	yes	characteristic
126	#2042	C₂²	1	1	yes	characteristic
127	#2042	C₂²	1	1	yes	characteristic
128	#2036	C₂²	1	1	yes	characteristic
129	#2036	C₂²	1	1	yes	characteristic
130	#2035	C₂²	1	1	yes	characteristic
131	#2033	C₂²	1	1	yes	characteristic
132	#2026	C₂²	1	1	yes	characteristic, complemented
133	#2025	C₂²	1	1	yes	characteristic
134	#2012	C₂²	1	1	yes	characteristic
135	#2012	C₂²	1	1	yes	characteristic
136	#2000	C₂²	1	1	yes	characteristic
137	#1987	C₂²	1	1	yes	characteristic, complemented
138	#1983	C₂²	1	1	yes	characteristic
139	#1983	C₂²	1	1	yes	characteristic
140	#1983	C₂²	1	1	yes	characteristic
141	#1983	C₂²	1	1	yes	characteristic
142	#1972	C₂²	1	1	yes	characteristic
143	#1959	C₂²	1	1	yes	characteristic
144	#1959	C₂²	1	1	yes	characteristic
145	#1956	C₂²	1	1	yes	characteristic, complemented
146	#1948	C₂²	1	1	yes	characteristic, complemented
147	#1947	C₂²	1	1	yes	characteristic, complemented
148	#1947	C₂²	1	1	yes	characteristic, complemented
149	#1943	C₂²	1	1	yes	characteristic, complemented
150	#1942	C₂²	1	1	yes	characteristic, complemented
151	#1940	C₂²	1	1	yes	characteristic, complemented
152	#1940	C₂²	1	1	yes	characteristic, complemented
153	#1939	C₂²	1	1	yes	characteristic, complemented
154	#1936	C₂²	1	1	yes	characteristic
155	#1935	C₂²	1	1	yes	characteristic, complemented
156	#1934	C₂²	1	1	yes	characteristic
157	#1928	C₂²	1	1	yes	characteristic, complemented
158	#1928	C₂²	1	1	yes	characteristic, complemented
159	#1928	C₂²	1	1	yes	characteristic, complemented
160	#1927	C₂²	1	1	yes	characteristic, complemented
161	#1926	C₂²	1	1	yes	characteristic
162	#1926	C₂²	1	1	yes	characteristic
163	#1926	C₂²	1	1	yes	characteristic, complemented
164	#1925	C₂²	1	1	yes	characteristic
165	#1925	C₂²	1	1	yes	characteristic
166	#1924	C₂²	1	1	yes	characteristic
167	#1924	C₂²	1	1	yes	characteristic
168	#1923	C₂²	1	1	yes	characteristic
169	#1918	C₂²	1	1	yes	characteristic, complemented
170	#1917	C₂²	1	1	yes	characteristic, complemented
171	#1917	C₂²	1	1	yes	characteristic, complemented
172	#1916	C₂²	1	1	yes	characteristic, complemented
173	#1894	C₂²	1	1	yes	characteristic
174	#1880	C₂²	1	1	yes	characteristic, complemented
175	#1879	C₂²	1	1	yes	characteristic
176	#1879	C₂²	1	1	yes	characteristic
177	#1879	C₂²	1	1	yes	characteristic
178	#1879	C₂²	1	1	yes	characteristic
179	#1877	C₂²	1	1	yes	characteristic, complemented
180	#1873	C₂²	1	1	yes	characteristic
181	#1865	C₂²	1	1	yes	characteristic, complemented
182	#1865	C₂²	1	1	yes	characteristic, complemented
183	#1865	C₂²	1	1	yes	characteristic, complemented
184	#1864	C₂²	1	1	yes	characteristic
185	#1862	C₂²	1	1	yes	characteristic
186	#1862	C₂²	1	1	yes	characteristic
187	#1862	C₂²	1	1	yes	characteristic, complemented
188	#1862	C₂²	1	1	yes	characteristic, complemented
189	#1854	C₂²	1	1	yes	characteristic
190	#1851	C₂²	1	1	yes	characteristic
191	#1851	C₂²	1	1	yes	characteristic
192	#1851	C₂²	1	1	yes	characteristic
193	#1843	C₂²	1	1	yes	characteristic, complemented
194	#1840	C₂²	1	1	yes	characteristic, complemented
195	#1809	C₂²	1	1	yes	characteristic
196	#1803	C₂²	1	1	yes	characteristic, complemented
197	#1803	C₂²	1	1	yes	characteristic, complemented
198	#1802	C₂²	1	1	yes	characteristic
199	#1802	C₂²	1	1	yes	characteristic
200	#1786	C₂²	1	1	yes	characteristic
201	#1786	C₂²	1	1	yes	characteristic
202	#1776	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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₂×#126	—	2	1	no	—
212	C₂×#125	—	2	1	no	—
213	C₂×#125	—	2	1	no	—
214	C₂×#125	C₂³	1	1	yes	characteristic
215	C₂×#124	C₂³	1	1	yes	characteristic
216	C₂×#124	C₂³	1	1	yes	characteristic
217	C₂×#124	C₂³	1	1	yes	characteristic
218	C₂×#124	C₂³	1	1	yes	characteristic
219	C₂×#123	—	2	1	no	—
220	C₂×#123	—	2	1	no	—
221	C₂×C₂²⋊Q₈	—	2	1	no	—
222	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×#121	C₂³	1	1	yes	characteristic
225	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
232	C₂×#117	—	2	1	no	—
233	C₂×#117	C₂³	1	1	yes	characteristic
234	C₂²×C₄⋊C₄	—	2	1	no	—
235	C₂²×C₂²⋊C₄	—	2	1	no	—
236	#485	—	4	2	no	—
237	#479	—	4	2	no	—
238	#478	—	4	2	no	—
239	#474	—	4	2	no	—
240	#468	—	4	2	no	—
241	#463	—	4	2	no	—
242	#463	—	4	2	no	—
243	#461	—	4	2	no	—
244	#447	—	4	2	no	—
245	#440	—	4	2	no	—
246	C₄×D₈	—	4	2	no	—
247	C₂×#107	C₂³	1	1	yes	characteristic
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×#107	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×C₄⋊C₈	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	#418	—	4	2	no	—
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×#103	C₂³	1	1	yes	characteristic
276	C₂×#103	C₂³	1	1	yes	characteristic
277	C₂×#103	C₂³	1	1	yes	characteristic
278	C₂×#103	C₂³	1	1	yes	characteristic
279	C₂×#103	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	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×#102	C₂³	1	1	yes	characteristic
289	C₂×#102	C₂³	1	1	yes	characteristic
290	C₂×#102	C₂³	1	1	yes	characteristic
291	C₂×#102	C₂³	1	1	yes	characteristic
292	C₂×#102	C₂³	1	1	yes	characteristic
293	C₂×#102	C₂³	1	1	yes	characteristic
294	C₂×#102	C₂³	1	1	yes	characteristic
295	C₂×#102	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#102	C₂³	1	1	yes	characteristic
298	C₂×#102	C₂³	1	1	yes	characteristic
299	C₂×#102	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×#97	C₂³	1	1	yes	characteristic
305	C₂×#97	C₂³	1	1	yes	characteristic
306	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
307	#401	D₄	1	1	yes	characteristic
308	#400	—	2	1	no	—
309	#400	—	2	1	no	—
310	#400	—	2	1	no	—
311	#400	D₄	1	1	yes	characteristic
312	#400	D₄	1	1	yes	characteristic
313	#400	D₄	1	1	yes	characteristic
314	#399	—	2	1	no	—
315	#399	—	2	1	no	—
316	#399	—	2	1	no	—
317	#399	—	2	1	no	—
318	#398	—	2	1	no	—
319	#398	—	2	1	no	—
320	#398	—	2	1	no	—
321	#398	—	2	1	no	—
322	#398	—	2	1	no	—
323	#398	—	2	1	no	—
324	#398	—	2	1	no	—
325	#397	—	2	1	no	—
326	#397	—	2	1	no	—
327	#397	—	2	1	no	—
328	#397	—	2	1	no	—
329	#397	—	2	1	no	—
330	#397	—	2	1	no	—
331	#397	—	2	1	no	—
332	#397	—	2	1	no	—
333	#397	D₄	1	1	yes	characteristic
334	#397	D₄	1	1	yes	characteristic
335	#397	D₄	1	1	yes	characteristic
336	#396	—	2	1	no	—
337	#396	—	2	1	no	—
338	#396	—	2	1	no	—
339	#396	—	2	1	no	—
340	#396	—	2	1	no	—
341	#396	—	2	1	no	—
342	#396	—	2	1	no	—
343	#396	—	2	1	no	—
344	#396	D₄	1	1	yes	characteristic
345	#394	—	2	1	no	—
346	#394	—	2	1	no	—
347	#394	—	2	1	no	—
348	#394	—	2	1	no	—
349	#394	—	2	1	no	—
350	#394	—	2	1	no	—
351	#393	—	2	1	no	—
352	#393	—	2	1	no	—
353	#393	—	2	1	no	—
354	#393	—	2	1	no	—
355	#391	—	2	1	no	—
356	#391	C₂³	1	1	yes	characteristic
357	#391	C₂³	1	1	yes	characteristic
358	#391	C₂³	1	1	yes	characteristic
359	#391	C₂³	1	1	yes	characteristic
360	#390	—	2	1	no	—
361	#390	C₂³	1	1	yes	characteristic
362	#390	C₂³	1	1	yes	characteristic
363	#390	C₂³	1	1	yes	characteristic
364	#390	C₂³	1	1	yes	characteristic
365	#390	C₂³	1	1	yes	characteristic
366	#390	C₂³	1	1	yes	characteristic
367	#390	C₂³	1	1	yes	characteristic
368	#390	C₂³	1	1	yes	characteristic
369	#390	C₂³	1	1	yes	characteristic
370	#389	—	2	1	no	—
371	#389	—	2	1	no	—
372	#389	—	2	1	no	—
373	#389	—	2	1	no	—
374	#389	—	2	1	no	—
375	#389	—	2	1	no	—
376	#389	C₂³	1	1	yes	characteristic
377	#389	C₂³	1	1	yes	characteristic
378	#389	C₂³	1	1	yes	characteristic
379	#389	C₂³	1	1	yes	characteristic
380	#389	C₂³	1	1	yes	characteristic
381	#389	C₂³	1	1	yes	characteristic
382	#389	C₂³	1	1	yes	characteristic
383	#389	C₂³	1	1	yes	characteristic
384	#389	C₂³	1	1	yes	characteristic
385	#389	C₂³	1	1	yes	characteristic
386	#389	C₂³	1	1	yes	characteristic
387	#388	—	2	1	no	—
388	#388	—	2	1	no	—
389	#388	—	2	1	no	—
390	#388	—	2	1	no	—
391	#388	—	2	1	no	—
392	#388	—	2	1	no	—
393	#388	—	2	1	no	—
394	#388	—	2	1	no	—
395	#388	—	2	1	no	—
396	#388	—	2	1	no	—
397	#388	—	2	1	no	—
398	#388	—	2	1	no	—
399	#388	—	2	1	no	—
400	#388	—	2	1	no	—
401	#388	—	2	1	no	—
402	#388	—	2	1	no	—
403	#388	—	2	1	no	—
404	#388	—	2	1	no	—
405	#388	—	2	1	no	—
406	#388	—	2	1	no	—
407	#387	—	2	1	no	—
408	#387	—	2	1	no	—
409	#387	—	2	1	no	—
410	#387	—	2	1	no	—
411	#387	—	2	1	no	—
412	#387	—	2	1	no	—
413	#387	—	2	1	no	—
414	#386	—	2	1	no	—
415	#386	—	2	1	no	—
416	#386	—	2	1	no	—
417	#385	—	2	1	no	—
418	#385	—	2	1	no	—
419	#385	—	2	1	no	—
420	#385	—	2	1	no	—
421	#385	—	2	1	no	—
422	#385	—	2	1	no	—
423	#385	—	2	1	no	—
424	#385	—	2	1	no	—
425	#385	—	2	1	no	—
426	#384	C₂³	1	1	yes	characteristic
427	#384	C₂³	1	1	yes	characteristic
428	#384	C₂³	1	1	yes	characteristic
429	#384	C₂³	1	1	yes	characteristic
430	#384	C₂³	1	1	yes	characteristic
431	#382	—	2	1	no	—
432	#381	—	2	1	no	—
433	#380	—	2	1	no	—
434	#380	—	2	1	no	—
435	#380	—	2	1	no	—
436	#380	—	2	1	no	—
437	#380	—	2	1	no	—
438	#380	—	2	1	no	—
439	#380	C₂³	1	1	yes	characteristic
440	#380	C₂³	1	1	yes	characteristic
441	#380	C₂³	1	1	yes	characteristic
442	#379	—	2	1	no	—
443	#379	—	2	1	no	—
444	#379	—	2	1	no	—
445	#379	—	2	1	no	—
446	#379	—	2	1	no	—
447	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₂²⋊C₄	—	2	1	no	—
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
460	#376	—	2	1	no	—
461	#376	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	—	2	1	no	—
492	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
493	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
494	C₂²×D₄	—	2	2	no	—
495	C₂²×D₄	—	2	1	no	—
496	C₂²×D₄	—	2	1	no	—
497	C₂²×D₄	—	4	1	no	—
498	C₂²×D₄	—	4	1	no	—
499	C₂²×D₄	—	4	1	no	—
500	C₂²×D₄	—	4	1	no	—
501	C₂²×D₄	—	4	1	no	—
502	C₂²×D₄	C₂⁴	1	1	yes	characteristic
503	C₂²×D₄	C₂⁴	1	1	yes	characteristic
504	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
511	C₂×SD₁₆	—	2	2	no	—
512	C₂×SD₁₆	—	2	2	no	—
513	C₂×SD₁₆	—	4	1	no	—
514	C₂×SD₁₆	—	4	1	no	—
515	C₂×SD₁₆	—	4	1	no	—
516	C₂×SD₁₆	—	4	1	no	—
517	C₂×D₈	—	2	2	no	—
518	C₂×D₈	—	2	2	no	—
519	C₂×D₈	—	2	2	no	—
520	C₂×D₈	—	4	1	no	—
521	C₂×D₈	—	4	1	no	—
522	C₂×D₈	—	4	1	no	—
523	C₂×M₁₆	—	4	1	no	—
524	C₂×M₁₆	—	4	1	no	—
525	C₂×M₁₆	—	4	1	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	C₄⋊Q₈	—	4	1	no	—
535	C₄⋊Q₈	—	4	1	no	—
536	C₄⋊Q₈	—	4	1	no	—
537	C₄⋊Q₈	—	4	1	no	—
538	#126	—	8	2	no	—
539	#125	—	2	2	no	—
540	#125	—	4	1	no	—
541	#125	—	8	2	no	—
542	#125	—	8	2	no	—
543	#124	—	2	2	no	—
544	#124	—	2	2	no	—
545	#124	—	4	1	no	—
546	#124	—	4	1	no	—
547	#124	—	4	1	no	—
548	#124	—	4	1	no	—
549	#124	—	4	1	no	—
550	#124	—	4	1	no	—
551	#123	—	8	2	no	—
552	#123	—	8	2	no	—
553	C₂²⋊Q₈	—	4	1	no	—
554	C₂²⋊Q₈	—	4	1	no	—
555	C₂²⋊Q₈	—	4	1	no	—
556	C₂²⋊Q₈	—	4	1	no	—
557	C₂²⋊Q₈	—	8	2	no	—
558	#121	—	2	2	no	—
559	#121	—	4	1	no	—
560	C₄×Q₈	—	4	1	no	—
561	C₄×Q₈	—	4	1	no	—
562	C₄×Q₈	—	4	1	no	—
563	C₄×Q₈	—	4	1	no	—
564	C₄×D₄	—	2	2	no	—
565	C₄×D₄	—	2	2	no	—
566	C₄×D₄	—	2	2	no	—
567	C₄×D₄	—	4	1	no	—
568	C₄×D₄	—	4	1	no	—
569	C₄×D₄	—	4	1	no	—
570	C₄×D₄	—	4	1	no	—
571	C₄×D₄	—	4	1	no	—
572	C₄×D₄	—	4	1	no	—
573	C₄×D₄	—	4	1	no	—
574	#117	—	2	2	no	—
575	#117	—	4	1	no	—
576	#117	—	8	2	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	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	1	no	—
598	C₂×C₄⋊C₄	—	2	1	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	8	2	no	—
608	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
647	C₂×C₂²⋊C₄	—	2	1	no	—
648	C₂×C₂²⋊C₄	—	2	1	no	—
649	C₂×C₂²⋊C₄	—	2	1	no	—
650	C₂×C₂²⋊C₄	—	2	1	no	—
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	—	2	1	no	—
653	C₂×C₂²⋊C₄	—	2	1	no	—
654	C₂×C₂²⋊C₄	—	2	1	no	—
655	C₂×C₂²⋊C₄	—	2	1	no	—
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	—	8	2	no	—
664	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₂×C₄²	—	2	1	no	—
671	C₂×C₄²	—	2	1	no	—
672	C₂×C₄²	—	2	1	no	—
673	C₂×C₄²	—	2	1	no	—
674	C₂×C₄²	—	2	1	no	—
675	C₂×C₄²	—	2	1	no	—
676	C₂×C₄²	—	2	1	no	—
677	C₂×C₄²	—	2	1	no	—
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
684	#107	—	2	2	no	—
685	#107	—	2	2	no	—
686	#107	—	4	1	no	—
687	#107	—	4	1	no	—
688	#107	—	4	1	no	—
689	#107	—	4	1	no	—
690	#107	—	4	1	no	—
691	#107	—	4	1	no	—
692	#106	—	4	1	no	—
693	#106	—	4	1	no	—
694	#106	—	4	1	no	—
695	#106	—	4	1	no	—
696	C₄⋊C₈	—	4	1	no	—
697	C₄⋊C₈	—	4	1	no	—
698	C₄⋊C₈	—	4	1	no	—
699	C₄⋊C₈	—	4	1	no	—
700	C₄⋊C₈	—	4	1	no	—
701	C₄⋊C₈	—	4	1	no	—
702	C₄⋊C₈	—	4	1	no	—
703	C₄⋊C₈	—	4	1	no	—
704	C₄⋊C₈	—	4	1	no	—
705	#103	—	2	2	no	—
706	#103	—	2	2	no	—
707	#103	—	4	1	no	—
708	#103	—	4	1	no	—
709	#103	—	4	1	no	—
710	#103	—	4	1	no	—
711	#103	—	4	1	no	—
712	#103	—	4	1	no	—
713	#103	—	4	1	no	—
714	#103	—	4	1	no	—
715	#103	—	4	1	no	—
716	#103	—	4	1	no	—
717	#103	—	4	1	no	—
718	#103	—	4	1	no	—
719	#102	—	2	2	no	—
720	#102	—	2	2	no	—
721	#102	—	2	2	no	—
722	#102	—	2	2	no	—
723	#102	—	2	2	no	—
724	#102	—	4	1	no	—
725	#102	—	4	1	no	—
726	#102	—	4	1	no	—
727	#102	—	4	1	no	—
728	#102	—	4	1	no	—
729	#102	—	4	1	no	—
730	#102	—	4	1	no	—
731	#102	—	4	1	no	—
732	#102	—	4	1	no	—
733	#102	—	4	1	no	—
734	#102	—	4	1	no	—
735	#102	—	4	1	no	—
736	#102	—	4	1	no	—
737	C₂²⋊C₈	—	4	1	no	—
738	C₂²⋊C₈	—	4	1	no	—
739	C₂²⋊C₈	—	4	1	no	—
740	#97	—	4	1	no	—
741	#97	—	4	1	no	—
742	C₄×C₈	—	4	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	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
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	#95	C₂×D₄	1	1	yes	characteristic
778	#95	C₂×D₄	1	1	yes	characteristic
779	#95	C₂×D₄	1	1	yes	characteristic
780	#95	C₂×D₄	1	1	yes	characteristic
781	#95	C₂×D₄	1	1	yes	characteristic
782	#95	C₂×D₄	1	1	yes	characteristic
783	#95	C₂×D₄	1	1	yes	characteristic
784	#95	C₂×D₄	1	1	yes	characteristic
785	#95	C₂×D₄	1	1	yes	characteristic
786	C₂⁴	—	2	1	no	—
787	C₂⁴	—	2	1	no	—
788	C₂⁴	—	2	1	no	—
789	C₂⁴	—	4	2	no	—
790	C₂⁴	—	4	2	no	—
791	C₂⁴	—	8	1	no	—
792	C₂⁴	—	8	1	no	—
793	C₂⁴	—	8	1	no	—
794	C₂⁴	—	8	1	no	—
795	C₂⁴	—	8	1	no	—
796	C₂⁴	C₂²×D₄	1	1	yes	characteristic
797	C₂×Q₈	—	2	1	no	—
798	C₂×Q₈	—	2	1	no	—
799	C₂×Q₈	—	2	1	no	—
800	C₂×Q₈	—	2	1	no	—
801	C₂×Q₈	—	2	1	no	—
802	C₂×Q₈	—	2	1	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	2	1	no	—
805	C₂×Q₈	—	2	1	no	—
806	C₂×Q₈	—	2	1	no	—
807	C₂×Q₈	—	2	1	no	—
808	C₂×Q₈	—	2	1	no	—
809	C₂×Q₈	—	8	1	no	—
810	C₂×Q₈	—	8	1	no	—
811	C₂×Q₈	—	8	1	no	—
812	C₂×D₄	—	2	1	no	—
813	C₂×D₄	—	2	1	no	—
814	C₂×D₄	—	2	1	no	—
815	C₂×D₄	—	2	1	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	1	no	—
818	C₂×D₄	—	2	1	no	—
819	C₂×D₄	—	2	1	no	—
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	1	no	—
824	C₂×D₄	—	2	1	no	—
825	C₂×D₄	—	2	1	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	1	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	4	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	8	1	no	—
832	C₂×D₄	—	8	1	no	—
833	C₂×D₄	—	8	2	no	—
834	C₂×D₄	—	8	2	no	—
835	C₂×D₄	—	8	2	no	—
836	C₂×D₄	—	8	1	no	—
837	C₂×D₄	—	8	1	no	—
838	C₂×D₄	H(5,𝔽₂)	1	2	yes	—
839	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	4	2	no	—
860	C₂²×C₄	—	4	2	no	—
861	C₂²×C₄	—	4	2	no	—
862	C₂²×C₄	—	4	2	no	—
863	C₂²×C₄	—	4	2	no	—
864	C₂²×C₄	—	4	2	no	—
865	C₂²×C₄	—	8	1	no	—
866	C₂²×C₄	—	8	1	no	—
867	C₂²×C₄	—	8	1	no	—
868	C₂²×C₄	—	8	1	no	—
869	C₂²×C₄	—	8	1	no	—
870	C₂²×C₄	—	8	1	no	—
871	C₂²×C₄	—	8	1	no	—
872	C₂²×C₄	—	8	1	no	—
873	C₂²×C₄	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
882	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
883	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
884	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
885	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
886	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
887	C₂²×C₄	C₂⁵	1	1	yes	characteristic
888	SD₁₆	—	4	4	no	—
889	SD₁₆	—	8	2	no	—
890	D₈	—	4	4	no	—
891	D₈	—	8	2	no	—
892	M₁₆	—	8	2	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	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	—	2	1	no	—
912	C₂×C₈	—	2	1	no	—
913	C₂×C₈	—	2	1	no	—
914	C₂×C₈	—	2	1	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	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	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	4	1	no	—
941	C₄⋊C₄	—	4	1	no	—
942	C₄⋊C₄	—	4	1	no	—
943	C₄⋊C₄	—	4	1	no	—
944	C₄⋊C₄	—	4	2	no	—
945	C₄⋊C₄	—	4	2	no	—
946	C₄⋊C₄	—	4	2	no	—
947	C₄⋊C₄	—	4	2	no	—
948	C₄⋊C₄	—	4	2	no	—
949	C₄⋊C₄	—	4	2	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	—	8	1	no	—
956	C₄⋊C₄	—	8	1	no	—
957	C₄⋊C₄	—	8	1	no	—
958	C₄⋊C₄	—	8	1	no	—
959	C₄⋊C₄	—	8	1	no	—
960	C₄⋊C₄	—	8	1	no	—
961	C₄⋊C₄	—	8	1	no	—
962	C₄⋊C₄	—	8	1	no	—
963	C₄⋊C₄	—	8	1	no	—
964	C₄⋊C₄	—	8	1	no	—
965	C₄⋊C₄	—	8	1	no	—
966	C₄⋊C₄	—	8	1	no	—
967	C₄⋊C₄	—	8	1	no	—
968	C₄⋊C₄	—	8	1	no	—
969	C₄⋊C₄	—	8	1	no	—
970	C₄⋊C₄	—	8	1	no	—
971	C₄⋊C₄	—	8	1	no	—
972	C₄⋊C₄	—	8	1	no	—
973	C₄⋊C₄	—	8	1	no	—
974	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	4	1	no	—
977	C₂²⋊C₄	—	4	1	no	—
978	C₂²⋊C₄	—	4	1	no	—
979	C₂²⋊C₄	—	4	1	no	—
980	C₂²⋊C₄	—	4	1	no	—
981	C₂²⋊C₄	—	4	2	no	—
982	C₂²⋊C₄	—	4	2	no	—
983	C₂²⋊C₄	—	4	2	no	—
984	C₂²⋊C₄	—	4	2	no	—
985	C₂²⋊C₄	—	4	2	no	—
986	C₂²⋊C₄	—	4	2	no	—
987	C₂²⋊C₄	—	4	2	no	—
988	C₂²⋊C₄	—	4	2	no	—
989	C₂²⋊C₄	—	4	2	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	2	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	C₂²⋊C₄	—	8	1	no	—
999	C₂²⋊C₄	—	8	1	no	—
1000	C₂²⋊C₄	—	8	1	no	—
1001	C₂²⋊C₄	—	8	1	no	—
1002	C₂²⋊C₄	—	8	1	no	—
1003	C₂²⋊C₄	—	8	1	no	—
1004	C₂²⋊C₄	—	8	1	no	—
1005	C₂²⋊C₄	—	8	1	no	—
1006	C₂²⋊C₄	—	8	1	no	—
1007	C₂²⋊C₄	—	8	1	no	—
1008	C₂²⋊C₄	—	8	1	no	—
1009	C₂²⋊C₄	—	8	1	no	—
1010	C₂²⋊C₄	—	8	1	no	—
1011	C₂²⋊C₄	—	8	1	no	—
1012	C₂²⋊C₄	—	8	1	no	—
1013	C₂²⋊C₄	—	8	1	no	—
1014	C₂²⋊C₄	—	8	1	no	—
1015	C₂²⋊C₄	—	8	1	no	—
1016	C₂²⋊C₄	—	8	1	no	—
1017	C₂²⋊C₄	—	8	1	no	—
1018	C₂²⋊C₄	—	8	1	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	4	2	no	—
1032	C₄²	—	4	2	no	—
1033	C₄²	—	8	1	no	—
1034	C₄²	—	8	1	no	—
1035	C₄²	—	8	1	no	—
1036	C₄²	—	8	1	no	—
1037	C₄²	—	8	1	no	—
1038	C₄²	—	8	1	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	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	—	4	1	no	—
1058	C₂³	—	4	1	no	—
1059	C₂³	—	4	1	no	—
1060	C₂³	—	4	1	no	—
1061	C₂³	—	4	1	no	—
1062	C₂³	—	4	1	no	—
1063	C₂³	—	4	1	no	—
1064	C₂³	—	4	1	no	—
1065	C₂³	—	4	1	no	—
1066	C₂³	—	4	1	no	—
1067	C₂³	—	8	4	no	—
1068	C₂³	—	8	4	no	—
1069	C₂³	—	16	2	no	—
1070	C₂³	—	16	2	no	—
1071	C₂³	—	16	2	no	—
1072	C₂³	—	16	2	no	—
1073	C₂³	—	16	2	no	—
1074	C₂³	C₂³×D₄	1	1	yes	characteristic
1075	Q₈	—	4	1	no	—
1076	Q₈	—	4	1	no	—
1077	Q₈	—	4	1	no	—
1078	Q₈	—	4	1	no	—
1079	Q₈	—	4	1	no	—
1080	Q₈	—	4	1	no	—
1081	Q₈	—	4	1	no	—
1082	Q₈	—	4	1	no	—
1083	Q₈	—	16	2	no	—
1084	D₄	—	2	2	no	—
1085	D₄	—	2	2	no	—
1086	D₄	—	2	2	no	—
1087	D₄	—	2	2	no	—
1088	D₄	—	4	1	no	—
1089	D₄	—	4	1	no	—
1090	D₄	—	4	1	no	—
1091	D₄	—	4	1	no	—
1092	D₄	—	4	1	no	—
1093	D₄	—	4	1	no	—
1094	D₄	—	4	1	no	—
1095	D₄	—	4	1	no	—
1096	D₄	—	8	4	no	—
1097	D₄	—	16	2	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	1	no	—
1110	C₂×C₄	—	2	1	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	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	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	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	8	4	no	—
1180	C₂×C₄	—	8	4	no	—
1181	C₂×C₄	—	16	2	no	—
1182	C₂×C₄	—	16	2	no	—
1183	C₂×C₄	—	16	2	no	—
1184	C₂×C₄	#576	1	2	yes	—
1185	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1186	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1187	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1188	C₂×C₄	#585	1	1	yes	characteristic
1189	C₂×C₄	#585	1	1	yes	characteristic
1190	C₂×C₄	#585	1	1	yes	characteristic
1191	C₈	—	4	1	no	—
1192	C₈	—	4	1	no	—
1193	C₈	—	4	1	no	—
1194	C₈	—	4	1	no	—
1195	C₈	—	4	1	no	—
1196	C₈	—	4	1	no	—
1197	C₈	—	4	1	no	—
1198	C₈	—	4	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	2	no	—
1201	C₂²	—	4	2	no	—
1202	C₂²	—	4	1	no	—
1203	C₂²	—	4	1	no	—
1204	C₂²	—	4	1	no	—
1205	C₂²	—	4	2	no	—
1206	C₂²	—	4	1	no	—
1207	C₂²	—	4	1	no	—
1208	C₂²	—	4	2	no	—
1209	C₂²	—	4	2	no	—
1210	C₂²	—	4	1	no	—
1211	C₂²	—	4	2	no	—
1212	C₂²	—	8	1	no	—
1213	C₂²	—	8	1	no	—
1214	C₂²	—	8	1	no	—
1215	C₂²	—	8	1	no	—
1216	C₂²	—	8	1	no	—
1217	C₂²	—	8	1	no	—
1218	C₂²	—	8	1	no	—
1219	C₂²	—	8	1	no	—
1220	C₂²	—	8	1	no	—
1221	C₂²	—	8	1	no	—
1222	C₂²	—	8	1	no	—
1223	C₂²	—	8	1	no	—
1224	C₂²	—	8	1	no	—
1225	C₂²	—	8	1	no	—
1226	C₂²	—	8	1	no	—
1227	C₂²	—	16	8	no	—
1228	C₂²	#3488	1	1	yes	characteristic
1229	C₂²	#3488	1	1	yes	characteristic
1230	C₂²	#3489	1	1	yes	characteristic
1231	C₂²	C₂×#576	1	1	yes	characteristic
1232	C₂²	#3585	1	1	yes	characteristic
1233	C₂²	#3586	1	1	yes	characteristic
1234	C₂²	#3586	1	1	yes	characteristic
1235	C₄	—	2	2	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	1	no	—
1241	C₄	—	4	2	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	8	1	no	—
1250	C₄	—	8	1	no	—
1251	C₄	—	8	1	no	—
1252	C₄	—	8	1	no	—
1253	C₄	—	8	1	no	—
1254	C₄	—	8	1	no	—
1255	C₄	—	8	1	no	—
1256	C₄	—	8	1	no	—
1257	C₄	—	8	1	no	—
1258	C₄	—	8	1	no	—
1259	C₄	—	8	1	no	—
1260	C₄	—	8	1	no	—
1261	C₄	#3535	1	1	yes	characteristic
1262	C₄	#3541	1	1	yes	characteristic
1263	C₄	#3542	1	1	yes	characteristic
1264	C₄	#3566	1	1	yes	characteristic
1265	C₂	—	8	1	no	—
1266	C₂	—	8	2	no	—
1267	C₂	—	8	2	no	—
1268	C₂	—	16	1	no	—
1269	C₂	#50862	1	1	yes	characteristic
1270	C₂	#62015	1	1	yes	characteristic
1271	C₂	#62041	1	1	yes	characteristic
1272	C₂	#62090	1	1	yes	characteristic
1273	C₂	#62094	1	1	yes	characteristic
1274	C₂	#62190	1	1	yes	characteristic
1275	C₂	#62228	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 ◁ #2401 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #45030	C₂	semidirect
2. #42634	C₂	semidirect
3. #32472	C₂	semidirect
4. #32103	C₂	semidirect
5. #32083	C₂	semidirect
6. #31882	C₂	semidirect
7. #31628	C₂	semidirect
8. #31592	C₂	semidirect
9. #31302	C₂	semidirect
10. #31179	C₂	semidirect
11. #31119	C₂	semidirect
13. #30681	C₂	semidirect
14. #30617	C₂	semidirect
15. #30072	C₂	semidirect
16. #29839	C₂	semidirect
17. #29380	C₂	semidirect
18. #28293	C₂	semidirect
19. #27507	C₂	semidirect
20. #27352	C₂	semidirect
21. #26917	C₂	semidirect
22. #26572	C₂	semidirect
23. #26542	C₂	semidirect
24. #26368	C₂	semidirect
25. #25976	C₂	semidirect
28. #24740	C₂	semidirect
29. #24627	C₂	semidirect
30. #24495	C₂	semidirect
31. #23382	C₂	semidirect
33. C₂×#479	C₂²	semidirect
35. C₂×#474	C₂²	semidirect
39. C₂×#461	C₂²	semidirect
41. C₂×#440	C₂²	semidirect
57. #2552	C₂²	semidirect
62. #2507	C₂²	semidirect
63. #2506	C₂²	semidirect
67. #2454	C₂²	semidirect
82. #2354	C₂²	semidirect
83. D₄×C₄⋊C₄	C₂²	semidirect
86. #2330	C₂²	semidirect
88. #2319	C₂²	semidirect
89. #2099	C₂²	semidirect
90. #2095	C₂²	semidirect
91. #2095	C₂²	semidirect
93. #2094	C₂²	semidirect
96. #2088	C₂²	semidirect
97. #2086	C₂²	semidirect
98. #2084	C₂²	semidirect
99. #2083	C₂²	semidirect
102. #2068	C₂²	semidirect
103. #2068	C₂²	semidirect
104. #2068	C₂²	semidirect
111. #2066	C₂²	semidirect
113. #2057	C₂²	semidirect
114. #2057	C₂²	semidirect
115. #2055	C₂²	semidirect
116. #2055	C₂²	semidirect
117. #2055	C₂²	semidirect
120. #2043	C₂²	semidirect
121. #2043	C₂²	semidirect
132. #2026	C₂²	semidirect
137. #1987	C₂²	semidirect
145. #1956	C₂²	semidirect
146. #1948	C₂²	semidirect
147. #1947	C₂²	semidirect
148. #1947	C₂²	semidirect
149. #1943	C₂²	semidirect
150. #1942	C₂²	semidirect
151. #1940	C₂²	semidirect
152. #1940	C₂²	semidirect
153. #1939	C₂²	semidirect
155. #1935	C₂²	semidirect
157. #1928	C₂²	semidirect
158. #1928	C₂²	semidirect
159. #1928	C₂²	semidirect
160. #1927	C₂²	semidirect
163. #1926	C₂²	semidirect
169. #1918	C₂²	semidirect
170. #1917	C₂²	semidirect
171. #1917	C₂²	semidirect
172. #1916	C₂²	semidirect
174. #1880	C₂²	semidirect
179. #1877	C₂²	semidirect
181. #1865	C₂²	semidirect
182. #1865	C₂²	semidirect
183. #1865	C₂²	semidirect
187. #1862	C₂²	semidirect
188. #1862	C₂²	semidirect
193. #1843	C₂²	semidirect
194. #1840	C₂²	semidirect
196. #1803	C₂²	semidirect
197. #1803	C₂²	semidirect
202. #1776	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#45030	2
#42634	2
#32472	2
#32103	2
#32083	2
#31882	2
#31628	2
#31592	2
#31302	2
#31179	2
#31119	2
#31008	2
#30681	2
#30617	2
#30072	2
#29839	2
#29380	2
#28293	2
#27507	2
#27352	2
#26917	2
#26572	2
#26542	2
#26368	2
#25976	2
#25101	2
#24893	2
#24740	2
#24627	2
#24495	2
#23382	2