Subgroups — #7037280

Order 512.

1384 conjugacy classes of subgroups.

The subgroup lattice has 1239 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59224	C₂	1	1	yes	maximal, characteristic
2	#39787	C₂	1	1	yes	maximal, characteristic, complemented
3	#32395	C₂	1	1	yes	maximal, characteristic, complemented
4	#31948	C₂	1	1	yes	maximal, characteristic, complemented
5	#31708	C₂	1	1	yes	maximal, characteristic, complemented
6	#31672	C₂	1	1	yes	maximal, characteristic
7	#31549	C₂	1	1	yes	maximal, characteristic, complemented
8	#31381	C₂	1	1	yes	maximal, characteristic, complemented
9	#31380	C₂	1	1	yes	maximal, characteristic, complemented
10	#30408	C₂	1	1	yes	maximal, characteristic
11	#29109	C₂	1	1	yes	maximal, characteristic, complemented
12	#29093	C₂	1	1	yes	maximal, characteristic, complemented
13	#28079	C₂	1	1	yes	maximal, characteristic, complemented
14	#28049	C₂	1	1	yes	maximal, characteristic, complemented
15	#27883	C₂	1	1	yes	maximal, characteristic, complemented
16	#27740	C₂	1	1	yes	maximal, characteristic, complemented
17	#27712	C₂	1	1	yes	maximal, characteristic, complemented
18	#27577	C₂	1	1	yes	maximal, characteristic, complemented
19	#27536	C₂	1	1	yes	maximal, characteristic, complemented
20	#27376	C₂	1	1	yes	maximal, characteristic, complemented
21	#27125	C₂	1	1	yes	maximal, characteristic, complemented
22	#26748	C₂	1	1	yes	maximal, characteristic, complemented
23	#25040	C₂	1	1	yes	maximal, characteristic, complemented
24	#24975	C₂	1	1	yes	maximal, characteristic, complemented
25	#24934	C₂	1	1	yes	maximal, characteristic, complemented
26	#24917	C₂	1	1	yes	maximal, characteristic, complemented
27	#23765	C₂	1	1	yes	maximal, characteristic, complemented
28	#23302	C₂	1	1	yes	maximal, characteristic, complemented
29	#23135	C₂	1	1	yes	maximal, characteristic, complemented
30	#22781	C₂	1	1	yes	maximal, characteristic, complemented
31	#22049	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#465	C₂²	1	1	yes	characteristic
33	C₂×#450	C₂²	1	1	yes	characteristic
34	C₂×#440	C₂²	1	1	yes	characteristic
35	#2857	C₂²	1	1	yes	characteristic
36	#2798	—	2	1	no	—
37	#2789	—	2	1	no	—
38	#2787	—	2	1	no	—
39	#2781	—	2	1	no	—
40	#2756	—	2	1	no	—
41	#2737	—	2	1	no	—
42	#2663	—	2	1	no	—
43	#2610	—	2	1	no	—
44	#2594	—	2	1	no	—
45	#2585	—	2	1	no	—
46	#2570	C₂²	1	1	yes	characteristic, complemented
47	#2563	C₂²	1	1	yes	characteristic
48	#2561	—	2	1	no	—
49	#2536	C₂²	1	1	yes	characteristic
50	#2531	—	2	1	no	—
51	#2513	C₂²	1	1	yes	characteristic
52	#2513	C₂²	1	1	yes	characteristic
53	#2509	C₂²	1	1	yes	characteristic, complemented
54	#2500	C₂²	1	1	yes	characteristic
55	#2494	C₂²	1	1	yes	characteristic
56	#2494	C₂²	1	1	yes	characteristic, complemented
57	#2491	C₂²	1	1	yes	characteristic
58	#2485	C₂²	1	1	yes	characteristic
59	#2472	—	2	1	no	—
60	#2451	C₂²	1	1	yes	characteristic, complemented
61	#2440	C₂²	1	1	yes	characteristic
62	#2439	C₂²	1	1	yes	characteristic, complemented
63	#2423	C₂²	1	1	yes	characteristic, complemented
64	#2421	C₂²	1	1	yes	characteristic
65	#2420	C₂²	1	1	yes	characteristic
66	#2412	—	2	1	no	—
67	#2408	C₂²	1	1	yes	characteristic
68	#2363	C₂²	1	1	yes	characteristic
69	#2362	C₂²	1	1	yes	characteristic, complemented
70	#2354	C₂²	1	1	yes	characteristic
71	#2352	C₂²	1	1	yes	characteristic
72	#2351	C₂²	1	1	yes	characteristic, complemented
73	#2342	—	2	1	no	—
74	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	#2332	—	2	1	no	—
76	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
77	C₄×#123	C₂²	1	1	yes	characteristic
78	C₂×#390	C₂²	1	1	yes	characteristic
79	#2283	C₂²	1	1	yes	characteristic
80	#2101	C₂²	1	1	yes	characteristic, complemented
81	#2101	C₂²	1	1	yes	characteristic, complemented
82	#2101	C₂²	1	1	yes	characteristic, complemented
83	#2099	C₂²	1	1	yes	characteristic, complemented
84	#2097	C₂²	1	1	yes	characteristic, complemented
85	#2092	C₂²	1	1	yes	characteristic
86	#2092	C₂²	1	1	yes	characteristic
87	#2086	C₂²	1	1	yes	characteristic, complemented
88	#2086	C₂²	1	1	yes	characteristic, complemented
89	#2085	C₂²	1	1	yes	characteristic, complemented
90	#2085	C₂²	1	1	yes	characteristic, complemented
91	#2085	C₂²	1	1	yes	characteristic, complemented
92	#2083	C₂²	1	1	yes	characteristic, complemented
93	#2077	C₂²	1	1	yes	characteristic
94	#2077	C₂²	1	1	yes	characteristic
95	#2077	C₂²	1	1	yes	characteristic
96	#2077	C₂²	1	1	yes	characteristic, complemented
97	#2076	C₂²	1	1	yes	characteristic
98	#2075	C₂²	1	1	yes	characteristic
99	#2075	C₂²	1	1	yes	characteristic
100	#2074	C₂²	1	1	yes	characteristic, complemented
101	#2073	C₂²	1	1	yes	characteristic
102	#2073	C₂²	1	1	yes	characteristic
103	#2071	C₂²	1	1	yes	characteristic
104	#2071	C₂²	1	1	yes	characteristic
105	#2067	C₂²	1	1	yes	characteristic
106	#2065	C₂²	1	1	yes	characteristic
107	#2065	C₂²	1	1	yes	characteristic
108	#2057	C₂²	1	1	yes	characteristic, complemented
109	#2055	C₂²	1	1	yes	characteristic
110	#2036	C₂²	1	1	yes	characteristic
111	#2036	C₂²	1	1	yes	characteristic, complemented
112	#2035	C₂²	1	1	yes	characteristic
113	#2034	C₂²	1	1	yes	characteristic
114	#2033	C₂²	1	1	yes	characteristic
115	#2033	C₂²	1	1	yes	characteristic
116	#2024	C₂²	1	1	yes	characteristic, complemented
117	#2023	C₂²	1	1	yes	characteristic
118	#2023	C₂²	1	1	yes	characteristic
119	#2000	C₂²	1	1	yes	characteristic
120	#1993	C₂²	1	1	yes	characteristic, complemented
121	#1993	C₂²	1	1	yes	characteristic, complemented
122	#1993	C₂²	1	1	yes	characteristic, complemented
123	#1988	C₂²	1	1	yes	characteristic, complemented
124	#1973	C₂²	1	1	yes	characteristic
125	#1973	C₂²	1	1	yes	characteristic
126	#1954	C₂²	1	1	yes	characteristic
127	#1949	C₂²	1	1	yes	characteristic, complemented
128	#1943	C₂²	1	1	yes	characteristic, complemented
129	#1936	C₂²	1	1	yes	characteristic
130	#1936	C₂²	1	1	yes	characteristic
131	#1936	C₂²	1	1	yes	characteristic
132	#1936	C₂²	1	1	yes	characteristic
133	#1936	C₂²	1	1	yes	characteristic
134	#1936	C₂²	1	1	yes	characteristic
135	#1936	C₂²	1	1	yes	characteristic
136	#1936	C₂²	1	1	yes	characteristic
137	#1935	C₂²	1	1	yes	characteristic, complemented
138	#1934	C₂²	1	1	yes	characteristic
139	#1934	C₂²	1	1	yes	characteristic
140	#1925	C₂²	1	1	yes	characteristic
141	#1925	C₂²	1	1	yes	characteristic
142	#1925	C₂²	1	1	yes	characteristic
143	#1924	C₂²	1	1	yes	characteristic
144	#1924	C₂²	1	1	yes	characteristic
145	#1924	C₂²	1	1	yes	characteristic, complemented
146	#1924	C₂²	1	1	yes	characteristic, complemented
147	#1921	C₂²	1	1	yes	characteristic, complemented
148	#1921	C₂²	1	1	yes	characteristic, complemented
149	#1921	C₂²	1	1	yes	characteristic, complemented
150	#1920	C₂²	1	1	yes	characteristic, complemented
151	#1920	C₂²	1	1	yes	characteristic, complemented
152	#1919	C₂²	1	1	yes	characteristic, complemented
153	#1918	C₂²	1	1	yes	characteristic, complemented
154	#1917	C₂²	1	1	yes	characteristic, complemented
155	#1917	C₂²	1	1	yes	characteristic, complemented
156	#1893	C₂²	1	1	yes	characteristic
157	#1880	C₂²	1	1	yes	characteristic
158	#1880	C₂²	1	1	yes	characteristic
159	#1880	C₂²	1	1	yes	characteristic
160	#1880	C₂²	1	1	yes	characteristic
161	#1880	C₂²	1	1	yes	characteristic
162	#1877	C₂²	1	1	yes	characteristic
163	#1875	C₂²	1	1	yes	characteristic
164	#1875	C₂²	1	1	yes	characteristic
165	#1873	C₂²	1	1	yes	characteristic, complemented
166	#1872	C₂²	1	1	yes	characteristic
167	#1869	C₂²	1	1	yes	characteristic
168	#1865	C₂²	1	1	yes	characteristic, complemented
169	#1864	C₂²	1	1	yes	characteristic
170	#1864	C₂²	1	1	yes	characteristic
171	#1862	C₂²	1	1	yes	characteristic
172	#1854	C₂²	1	1	yes	characteristic, complemented
173	#1852	C₂²	1	1	yes	characteristic
174	#1847	C₂²	1	1	yes	characteristic, complemented
175	#1836	C₂²	1	1	yes	characteristic, complemented
176	#1836	C₂²	1	1	yes	characteristic, complemented
177	#1835	C₂²	1	1	yes	characteristic, complemented
178	#1825	C₂²	1	1	yes	characteristic, complemented
179	#1825	C₂²	1	1	yes	characteristic, complemented
180	#1824	C₂²	1	1	yes	characteristic
181	#1824	C₂²	1	1	yes	characteristic
182	#1808	C₂²	1	1	yes	characteristic, complemented
183	#1805	C₂²	1	1	yes	characteristic, complemented
184	#1804	C₂²	1	1	yes	characteristic
185	#1804	C₂²	1	1	yes	characteristic
186	#1803	C₂²	1	1	yes	characteristic, complemented
187	#1786	C₂²	1	1	yes	characteristic
188	#1786	C₂²	1	1	yes	characteristic
189	#1786	C₂²	1	1	yes	characteristic
190	#1776	C₂²	1	1	yes	characteristic, complemented
191	#1776	C₂²	1	1	yes	characteristic, complemented
192	#1771	C₂²	1	1	yes	characteristic, complemented
193	#1771	C₂²	1	1	yes	characteristic, complemented
194	#1763	C₂²	1	1	yes	characteristic, complemented
195	#1763	C₂²	1	1	yes	characteristic, complemented
196	#1762	C₂²	1	1	yes	characteristic
197	C₄×#103	C₂²	1	1	yes	characteristic, complemented
198	#1752	C₂²	1	1	yes	characteristic, complemented
199	#1752	C₂²	1	1	yes	characteristic, complemented
200	#1749	C₂²	1	1	yes	characteristic
201	#1749	C₂²	1	1	yes	characteristic
202	#1735	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	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₂×#124	—	2	1	no	—
210	C₂×#123	D₄	1	1	yes	characteristic
211	C₂×C₂²⋊Q₈	—	2	1	no	—
212	C₂×C₂²⋊Q₈	—	2	1	no	—
213	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₂×#121	C₂³	1	1	yes	characteristic
216	C₂×#121	C₂³	1	1	yes	characteristic
217	C₂×#120	—	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×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×#117	—	2	1	no	—
225	C₂×#117	C₂³	1	1	yes	characteristic
226	C₂×#117	C₂³	1	1	yes	characteristic
227	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊C₄	—	2	1	no	—
229	C₂²×C₂²⋊C₄	—	2	1	no	—
230	C₂²×C₂²⋊C₄	—	2	1	no	—
231	C₂²×C₄²	C₂³	1	1	yes	characteristic
232	#465	—	2	4	no	—
233	#450	—	2	4	no	—
234	#440	—	2	4	no	—
235	C₂×#107	C₂³	1	1	yes	characteristic
236	C₂×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
242	C₂×#106	C₂³	1	1	yes	characteristic
243	C₂×#106	C₂³	1	1	yes	characteristic
244	C₂×#106	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₂×#103	C₂³	1	1	yes	characteristic
249	C₂×#103	C₂³	1	1	yes	characteristic
250	C₂×#103	C₂³	1	1	yes	characteristic
251	C₂×#103	C₂³	1	1	yes	characteristic
252	C₂×#103	C₂³	1	1	yes	characteristic
253	C₂×#103	C₂³	1	1	yes	characteristic
254	C₂×#102	C₂³	1	1	yes	characteristic
255	C₂×#102	C₂³	1	1	yes	characteristic
256	C₂×#102	C₂³	1	1	yes	characteristic
257	C₂×#102	C₂³	1	1	yes	characteristic
258	C₂×#102	C₂³	1	1	yes	characteristic
259	C₂×#102	C₂³	1	1	yes	characteristic
260	C₂×#102	C₂³	1	1	yes	characteristic
261	C₂×#102	C₂³	1	1	yes	characteristic
262	C₂×#102	C₂³	1	1	yes	characteristic
263	C₂×#102	C₂³	1	1	yes	characteristic
264	C₂×#102	C₂³	1	1	yes	characteristic
265	C₂×#102	C₂³	1	1	yes	characteristic
266	C₂×#102	C₂³	1	1	yes	characteristic
267	C₂×#102	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×#97	C₂³	1	1	yes	characteristic
276	C₂×#97	C₂³	1	1	yes	characteristic
277	C₂×#97	C₂³	1	1	yes	characteristic
278	C₂×#97	C₂³	1	1	yes	characteristic
279	C₂×#97	C₂³	1	1	yes	characteristic
280	C₂×#97	C₂³	1	1	yes	characteristic
281	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
282	#401	—	2	1	no	—
283	#401	—	2	1	no	—
284	#400	—	2	1	no	—
285	#400	—	2	1	no	—
286	#400	—	2	1	no	—
287	#400	—	2	1	no	—
288	#399	—	2	1	no	—
289	#398	—	2	1	no	—
290	#398	—	2	1	no	—
291	#398	—	2	1	no	—
292	#398	—	2	1	no	—
293	#398	—	2	1	no	—
294	#397	—	2	1	no	—
295	#397	—	2	1	no	—
296	#397	—	2	1	no	—
297	#397	—	2	1	no	—
298	#397	—	2	1	no	—
299	#397	—	2	1	no	—
300	#397	—	2	1	no	—
301	#397	—	2	1	no	—
302	#397	—	2	1	no	—
303	#396	—	2	1	no	—
304	#395	—	2	1	no	—
305	#395	—	2	1	no	—
306	#394	—	2	1	no	—
307	#394	—	2	1	no	—
308	#394	—	2	1	no	—
309	#394	—	2	1	no	—
310	#394	—	2	1	no	—
311	#394	—	2	1	no	—
312	#394	—	2	1	no	—
313	#393	—	2	1	no	—
314	#393	—	2	1	no	—
315	#393	—	2	1	no	—
316	#393	—	2	1	no	—
317	#392	—	2	1	no	—
318	#391	—	2	1	no	—
319	#391	—	2	1	no	—
320	#391	—	2	1	no	—
321	#391	C₂³	1	1	yes	characteristic
322	#391	C₂³	1	1	yes	characteristic
323	#390	—	2	1	no	—
324	#390	—	2	1	no	—
325	#390	—	2	1	no	—
326	#390	C₂³	1	1	yes	characteristic
327	#390	C₂³	1	1	yes	characteristic
328	#390	C₂³	1	1	yes	characteristic
329	#390	C₂³	1	1	yes	characteristic
330	#390	C₂³	1	1	yes	characteristic
331	#390	C₂³	1	1	yes	characteristic
332	#390	C₂³	1	1	yes	characteristic
333	#390	C₂³	1	1	yes	characteristic
334	#389	—	2	1	no	—
335	#389	—	2	1	no	—
336	#389	—	2	1	no	—
337	#389	—	2	1	no	—
338	#389	C₂³	1	1	yes	characteristic
339	#389	C₂³	1	1	yes	characteristic
340	#389	C₂³	1	1	yes	characteristic
341	#389	C₂³	1	1	yes	characteristic
342	#389	C₂³	1	1	yes	characteristic
343	#389	C₂³	1	1	yes	characteristic
344	#389	C₂³	1	1	yes	characteristic
345	#389	C₂³	1	1	yes	characteristic
346	#389	C₂³	1	1	yes	characteristic
347	#389	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
369	#388	D₄	1	1	yes	characteristic
370	#387	—	2	1	no	—
371	#387	—	2	1	no	—
372	#387	—	2	1	no	—
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#387	—	2	1	no	—
376	#387	—	2	1	no	—
377	#387	—	2	1	no	—
378	#387	—	2	1	no	—
379	#387	—	2	1	no	—
380	#387	—	2	1	no	—
381	#387	—	2	1	no	—
382	#387	—	2	1	no	—
383	#387	D₄	1	1	yes	characteristic
384	#387	D₄	1	1	yes	characteristic
385	#386	—	2	1	no	—
386	#386	—	2	1	no	—
387	#386	—	2	1	no	—
388	#386	—	2	1	no	—
389	#386	—	2	1	no	—
390	#386	D₄	1	1	yes	characteristic
391	#385	—	2	1	no	—
392	#385	—	2	1	no	—
393	#385	D₄	1	1	yes	characteristic
394	#384	C₂³	1	1	yes	characteristic
395	#384	C₂³	1	1	yes	characteristic
396	#383	—	2	1	no	—
397	#382	—	2	1	no	—
398	#382	C₂³	1	1	yes	characteristic
399	#382	C₂³	1	1	yes	characteristic
400	#382	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
407	#380	—	2	1	no	—
408	#380	—	2	1	no	—
409	#380	—	2	1	no	—
410	#380	—	2	1	no	—
411	#380	C₂³	1	1	yes	characteristic
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	#380	C₂³	1	1	yes	characteristic
417	#380	C₂³	1	1	yes	characteristic
418	#380	C₂³	1	1	yes	characteristic
419	#379	—	2	1	no	—
420	#379	—	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×C₂²⋊C₄	—	2	1	no	—
432	C₄×C₂²⋊C₄	—	2	1	no	—
433	C₄×C₂²⋊C₄	—	2	1	no	—
434	C₄×C₂²⋊C₄	—	2	1	no	—
435	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	#376	—	2	1	no	—
439	#340	C₂³	1	1	yes	characteristic
440	#340	C₂³	1	1	yes	characteristic
441	#340	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	#340	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	C₂⁵	—	2	1	no	—
482	C₂²×Q₈	—	2	1	no	—
483	C₂²×Q₈	—	2	1	no	—
484	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
485	C₂²×D₄	—	2	2	no	—
486	C₂²×D₄	—	2	1	no	—
487	C₂²×D₄	—	2	1	no	—
488	C₂²×D₄	—	2	1	no	—
489	C₂²×D₄	—	4	1	no	—
490	C₂²×D₄	—	4	1	no	—
491	C₂²×D₄	—	4	1	no	—
492	C₂²×D₄	—	4	1	no	—
493	C₂²×D₄	—	4	1	no	—
494	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
495	C₂²×D₄	C₂⁴	1	1	yes	characteristic
496	C₂²×D₄	C₂⁴	1	1	yes	characteristic
497	C₂³×C₄	—	2	1	no	—
498	C₂³×C₄	—	2	1	no	—
499	C₂³×C₄	—	2	1	no	—
500	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
501	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
502	C₂³×C₄	C₂⁴	1	1	yes	characteristic
503	C₂³×C₄	C₂⁴	1	1	yes	characteristic
504	C₂×SD₁₆	—	2	2	no	—
505	C₂×SD₁₆	—	4	1	no	—
506	C₂×SD₁₆	—	4	1	no	—
507	C₂×SD₁₆	—	4	1	no	—
508	C₂×SD₁₆	—	4	1	no	—
509	C₂×SD₁₆	#41	1	4	yes	—
510	C₂²×C₈	—	2	2	no	—
511	C₂²×C₈	—	4	1	no	—
512	C₂²×C₈	—	4	1	no	—
513	C₂²×C₈	C₂⁴	1	1	yes	characteristic
514	C₂²×C₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₈	C₂⁴	1	1	yes	characteristic
516	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	C₄⋊Q₈	—	4	1	no	—
522	C₄⋊Q₈	—	4	1	no	—
523	C₄⋊Q₈	—	4	1	no	—
524	C₄⋊Q₈	—	4	1	no	—
525	#124	—	8	2	no	—
526	#123	—	4	2	no	—
527	C₂²⋊Q₈	—	2	2	no	—
528	C₂²⋊Q₈	—	2	2	no	—
529	C₂²⋊Q₈	—	4	1	no	—
530	C₂²⋊Q₈	—	4	1	no	—
531	C₂²⋊Q₈	—	4	4	no	—
532	C₂²⋊Q₈	—	8	2	no	—
533	#121	—	2	2	no	—
534	#121	—	4	1	no	—
535	#121	—	4	1	no	—
536	#121	—	4	1	no	—
537	#120	—	8	2	no	—
538	C₄×Q₈	—	2	2	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×D₄	—	2	2	no	—
545	C₄×D₄	—	4	1	no	—
546	C₄×D₄	—	4	1	no	—
547	C₄×D₄	—	4	1	no	—
548	C₄×D₄	—	4	1	no	—
549	C₄×D₄	—	4	1	no	—
550	#117	—	4	1	no	—
551	#117	—	4	1	no	—
552	#117	—	4	1	no	—
553	#117	—	4	1	no	—
554	#117	—	8	2	no	—
555	C₂×C₄⋊C₄	—	2	1	no	—
556	C₂×C₄⋊C₄	—	2	1	no	—
557	C₂×C₄⋊C₄	—	2	1	no	—
558	C₂×C₄⋊C₄	—	2	1	no	—
559	C₂×C₄⋊C₄	—	2	1	no	—
560	C₂×C₄⋊C₄	—	2	1	no	—
561	C₂×C₄⋊C₄	—	2	1	no	—
562	C₂×C₄⋊C₄	—	2	1	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	—	4	1	no	—
578	C₂×C₄⋊C₄	—	4	1	no	—
579	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
598	C₂×C₂²⋊C₄	—	2	1	no	—
599	C₂×C₂²⋊C₄	—	2	1	no	—
600	C₂×C₂²⋊C₄	—	2	1	no	—
601	C₂×C₂²⋊C₄	—	2	1	no	—
602	C₂×C₂²⋊C₄	—	2	1	no	—
603	C₂×C₂²⋊C₄	—	2	1	no	—
604	C₂×C₂²⋊C₄	—	2	1	no	—
605	C₂×C₂²⋊C₄	—	2	1	no	—
606	C₂×C₂²⋊C₄	—	2	1	no	—
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	—	4	4	no	—
630	C₂×C₂²⋊C₄	—	8	2	no	—
631	C₂×C₂²⋊C₄	—	8	2	no	—
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×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×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	—	4	1	no	—
651	C₂×C₄²	—	4	1	no	—
652	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
653	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
656	C₂×C₄²	C₂⁴	1	1	yes	characteristic
657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
659	#107	—	2	2	no	—
660	#107	—	4	1	no	—
661	#107	—	4	1	no	—
662	#107	—	4	1	no	—
663	#107	—	4	1	no	—
664	#107	—	4	1	no	—
665	#106	—	2	2	no	—
666	#106	—	4	1	no	—
667	#106	—	4	1	no	—
668	#106	—	4	1	no	—
669	C₄⋊C₈	—	4	1	no	—
670	C₄⋊C₈	—	4	1	no	—
671	C₄⋊C₈	—	4	1	no	—
672	#103	—	2	2	no	—
673	#103	—	2	2	no	—
674	#103	—	4	1	no	—
675	#103	—	4	1	no	—
676	#103	—	4	1	no	—
677	#103	—	4	1	no	—
678	#102	—	2	2	no	—
679	#102	—	2	2	no	—
680	#102	—	2	2	no	—
681	#102	—	2	2	no	—
682	#102	—	4	1	no	—
683	#102	—	4	1	no	—
684	#102	—	4	1	no	—
685	#102	—	4	1	no	—
686	#102	—	4	1	no	—
687	#102	—	4	1	no	—
688	#102	—	4	1	no	—
689	#102	—	4	1	no	—
690	#102	—	4	1	no	—
691	#102	—	4	1	no	—
692	C₂²⋊C₈	—	2	2	no	—
693	C₂²⋊C₈	—	4	1	no	—
694	C₂²⋊C₈	—	4	1	no	—
695	C₂²⋊C₈	—	4	1	no	—
696	C₂²⋊C₈	—	4	1	no	—
697	C₂²⋊C₈	—	4	1	no	—
698	C₂²⋊C₈	—	4	1	no	—
699	#97	—	2	2	no	—
700	#97	—	4	1	no	—
701	#97	—	4	1	no	—
702	#97	—	4	1	no	—
703	#97	—	4	1	no	—
704	#97	—	4	1	no	—
705	C₄×C₈	—	4	1	no	—
706	#95	—	2	1	no	—
707	#95	—	2	1	no	—
708	#95	—	2	1	no	—
709	#95	—	2	1	no	—
710	#95	—	2	1	no	—
711	#95	—	2	1	no	—
712	#95	—	2	1	no	—
713	#95	—	2	1	no	—
714	#95	—	2	1	no	—
715	#95	—	2	1	no	—
716	#95	—	2	1	no	—
717	#95	—	2	1	no	—
718	#95	—	2	1	no	—
719	#95	—	2	1	no	—
720	#95	—	2	1	no	—
721	#95	—	2	1	no	—
722	#95	—	2	1	no	—
723	#95	—	2	1	no	—
724	#95	—	2	1	no	—
725	#95	—	2	1	no	—
726	#95	—	2	1	no	—
727	#95	—	2	1	no	—
728	#95	—	2	1	no	—
729	#95	—	2	1	no	—
730	#95	—	2	1	no	—
731	#95	—	2	1	no	—
732	#95	—	2	1	no	—
733	#95	—	2	1	no	—
734	#95	—	2	1	no	—
735	#95	—	2	1	no	—
736	#95	—	2	1	no	—
737	#95	—	2	1	no	—
738	#95	—	2	1	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	C₂×D₄	1	1	yes	characteristic
746	#95	C₂×D₄	1	1	yes	characteristic
747	#95	C₂×D₄	1	1	yes	characteristic
748	#95	C₂×D₄	1	1	yes	characteristic
749	#95	C₂×D₄	1	1	yes	characteristic
750	#95	C₂×D₄	1	1	yes	characteristic
751	#95	C₂×D₄	1	1	yes	characteristic
752	#95	C₂×D₄	1	1	yes	characteristic
753	#95	C₂×D₄	1	1	yes	characteristic
754	#95	C₂×D₄	1	1	yes	characteristic
755	C₂⁴	—	2	1	no	—
756	C₂⁴	—	2	1	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	—	4	2	no	—
759	C₂⁴	—	4	2	no	—
760	C₂⁴	—	4	2	no	—
761	C₂⁴	—	8	1	no	—
762	C₂⁴	—	8	1	no	—
763	C₂⁴	—	8	1	no	—
764	C₂⁴	C₂²×D₄	1	1	yes	characteristic
765	C₂⁴	C₂²×D₄	1	1	yes	characteristic
766	C₂×Q₈	—	2	1	no	—
767	C₂×Q₈	—	2	1	no	—
768	C₂×Q₈	—	2	1	no	—
769	C₂×Q₈	—	2	1	no	—
770	C₂×Q₈	—	2	1	no	—
771	C₂×Q₈	—	4	2	no	—
772	C₂×Q₈	—	8	1	no	—
773	C₂×Q₈	—	8	1	no	—
774	C₂×Q₈	—	8	1	no	—
775	C₂×Q₈	—	8	1	no	—
776	C₂×Q₈	—	8	1	no	—
777	C₂×Q₈	C₂×#41	1	2	yes	—
778	C₂×D₄	—	2	2	no	—
779	C₂×D₄	—	2	1	no	—
780	C₂×D₄	—	2	1	no	—
781	C₂×D₄	—	2	1	no	—
782	C₂×D₄	—	2	1	no	—
783	C₂×D₄	—	2	1	no	—
784	C₂×D₄	—	2	1	no	—
785	C₂×D₄	—	2	1	no	—
786	C₂×D₄	—	2	1	no	—
787	C₂×D₄	—	2	1	no	—
788	C₂×D₄	—	2	1	no	—
789	C₂×D₄	—	2	1	no	—
790	C₂×D₄	—	4	1	no	—
791	C₂×D₄	—	4	1	no	—
792	C₂×D₄	—	4	2	no	—
793	C₂×D₄	—	4	2	no	—
794	C₂×D₄	—	4	2	no	—
795	C₂×D₄	—	8	1	no	—
796	C₂×D₄	—	8	2	no	—
797	C₂×D₄	—	8	2	no	—
798	C₂×D₄	—	8	2	no	—
799	C₂×D₄	—	8	2	no	—
800	C₂×D₄	—	8	1	no	—
801	C₂×D₄	—	8	1	no	—
802	C₂×D₄	—	8	1	no	—
803	C₂×D₄	—	8	1	no	—
804	C₂×D₄	—	8	1	no	—
805	C₂×D₄	C₂×#41	1	2	yes	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	1	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	1	no	—
817	C₂²×C₄	—	2	1	no	—
818	C₂²×C₄	—	2	1	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	—	2	1	no	—
832	C₂²×C₄	—	2	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	2	no	—
839	C₂²×C₄	—	4	2	no	—
840	C₂²×C₄	—	4	2	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	—	8	1	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	C₂⁵	1	1	yes	characteristic
860	SD₁₆	—	4	4	no	—
861	SD₁₆	—	8	2	no	—
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	—	8	2	no	—
886	C₂×C₈	C₂×#41	1	2	yes	—
887	C₄⋊C₄	—	2	1	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	1	no	—
892	C₄⋊C₄	—	2	1	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	—	4	1	no	—
914	C₄⋊C₄	—	4	1	no	—
915	C₄⋊C₄	—	4	1	no	—
916	C₄⋊C₄	—	4	1	no	—
917	C₄⋊C₄	—	4	1	no	—
918	C₄⋊C₄	—	4	2	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	—	8	1	no	—
926	C₄⋊C₄	—	8	1	no	—
927	C₄⋊C₄	—	8	1	no	—
928	C₄⋊C₄	—	8	1	no	—
929	C₄⋊C₄	—	8	1	no	—
930	C₄⋊C₄	—	8	1	no	—
931	C₄⋊C₄	—	8	1	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	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	4	1	no	—
942	C₂²⋊C₄	—	4	1	no	—
943	C₂²⋊C₄	—	4	1	no	—
944	C₂²⋊C₄	—	4	1	no	—
945	C₂²⋊C₄	—	4	1	no	—
946	C₂²⋊C₄	—	4	1	no	—
947	C₂²⋊C₄	—	4	1	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₂²⋊C₄	—	4	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	—	8	1	no	—
961	C₂²⋊C₄	—	8	1	no	—
962	C₂²⋊C₄	—	8	1	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	C₂²⋊C₄	—	8	1	no	—
975	C₂²⋊C₄	—	8	1	no	—
976	C₂²⋊C₄	—	8	1	no	—
977	C₂²⋊C₄	—	8	1	no	—
978	C₂²⋊C₄	—	8	1	no	—
979	C₂²⋊C₄	—	8	1	no	—
980	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	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	4	1	no	—
991	C₄²	—	4	1	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	8	1	no	—
995	C₄²	—	8	1	no	—
996	C₄²	—	8	1	no	—
997	C₄²	—	8	1	no	—
998	C₄²	—	8	1	no	—
999	C₄²	—	8	1	no	—
1000	C₄²	—	8	1	no	—
1001	C₄²	—	8	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	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	2	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	4	1	no	—
1017	C₂³	—	4	1	no	—
1018	C₂³	—	4	1	no	—
1019	C₂³	—	4	1	no	—
1020	C₂³	—	4	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	—	4	1	no	—
1028	C₂³	—	4	1	no	—
1029	C₂³	—	8	4	no	—
1030	C₂³	—	8	4	no	—
1031	C₂³	—	8	4	no	—
1032	C₂³	—	8	4	no	—
1033	C₂³	—	16	2	no	—
1034	C₂³	—	16	2	no	—
1035	C₂³	—	16	2	no	—
1036	C₂³	#575	1	2	yes	—
1037	C₂³	C₂³×D₄	1	1	yes	characteristic
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	4	1	no	—
1041	Q₈	—	4	1	no	—
1042	Q₈	—	16	2	no	—
1043	Q₈	—	16	2	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	2	2	no	—
1046	D₄	—	4	1	no	—
1047	D₄	—	4	1	no	—
1048	D₄	—	4	1	no	—
1049	D₄	—	4	1	no	—
1050	D₄	—	4	1	no	—
1051	D₄	—	4	1	no	—
1052	D₄	—	8	2	no	—
1053	D₄	—	8	4	no	—
1054	D₄	—	16	2	no	—
1055	D₄	—	16	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	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	—	4	1	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	1	no	—
1097	C₂×C₄	—	4	1	no	—
1098	C₂×C₄	—	4	1	no	—
1099	C₂×C₄	—	4	1	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	1	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	4	1	no	—
1104	C₂×C₄	—	4	1	no	—
1105	C₂×C₄	—	4	1	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	1	no	—
1110	C₂×C₄	—	4	1	no	—
1111	C₂×C₄	—	4	1	no	—
1112	C₂×C₄	—	4	1	no	—
1113	C₂×C₄	—	4	1	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	4	1	no	—
1131	C₂×C₄	—	4	1	no	—
1132	C₂×C₄	—	4	1	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	1	no	—
1135	C₂×C₄	—	4	1	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	8	2	no	—
1143	C₂×C₄	—	8	2	no	—
1144	C₂×C₄	—	8	4	no	—
1145	C₂×C₄	—	16	2	no	—
1146	C₂×C₄	—	16	2	no	—
1147	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1148	C₂×C₄	#585	1	1	yes	characteristic
1149	C₂×C₄	#585	1	1	yes	characteristic
1150	C₂×C₄	#585	1	1	yes	characteristic
1151	C₂×C₄	#585	1	1	yes	characteristic
1152	C₂×C₄	#585	1	1	yes	characteristic
1153	C₈	—	2	2	no	—
1154	C₈	—	4	1	no	—
1155	C₈	—	4	1	no	—
1156	C₈	—	4	1	no	—
1157	C₈	—	4	1	no	—
1158	C₈	—	4	1	no	—
1159	C₈	—	4	1	no	—
1160	C₈	—	4	1	no	—
1161	C₂²	—	2	2	no	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	4	1	no	—
1176	C₂²	—	4	1	no	—
1177	C₂²	—	4	2	no	—
1178	C₂²	—	8	1	no	—
1179	C₂²	—	8	1	no	—
1180	C₂²	—	8	1	no	—
1181	C₂²	—	8	1	no	—
1182	C₂²	—	8	1	no	—
1183	C₂²	—	8	1	no	—
1184	C₂²	—	8	1	no	—
1185	C₂²	—	8	1	no	—
1186	C₂²	—	8	1	no	—
1187	C₂²	—	8	1	no	—
1188	C₂²	—	8	1	no	—
1189	C₂²	—	16	8	no	—
1190	C₂²	D₄×#41	1	1	yes	characteristic
1191	C₂²	#3485	1	1	yes	characteristic
1192	C₂²	#3500	1	1	yes	characteristic
1193	C₂²	C₂×#575	1	1	yes	characteristic
1194	C₂²	#3585	1	1	yes	characteristic
1195	C₂²	#3585	1	1	yes	characteristic
1196	C₂²	#3586	1	1	yes	characteristic
1197	C₄	—	4	1	no	—
1198	C₄	—	4	1	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	1	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	2	no	—
1210	C₄	—	8	1	no	—
1211	C₄	—	8	1	no	—
1212	C₄	—	8	1	no	—
1213	C₄	—	8	1	no	—
1214	C₄	—	8	1	no	—
1215	C₄	—	8	1	no	—
1216	C₄	—	8	1	no	—
1217	C₄	—	8	1	no	—
1218	C₄	—	8	1	no	—
1219	C₄	—	8	1	no	—
1220	C₄	—	8	1	no	—
1221	C₄	—	8	1	no	—
1222	C₄	—	8	1	no	—
1223	C₄	#3491	1	1	yes	characteristic
1224	C₄	#3521	1	1	yes	characteristic
1225	C₄	#3566	1	1	yes	characteristic
1226	C₄	#3566	1	1	yes	characteristic
1227	C₂	—	4	2	no	—
1228	C₂	—	8	1	no	—
1229	C₂	—	8	2	no	—
1230	C₂	—	16	1	no	—
1231	C₂	#43500	1	1	yes	characteristic
1232	C₂	#61456	1	1	yes	characteristic
1233	C₂	#61503	1	1	yes	characteristic
1234	C₂	#61710	1	1	yes	characteristic
1235	C₂	#61782	1	1	yes	characteristic
1236	C₂	#62564	1	1	yes	characteristic
1237	C₂	#62585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	#2408	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#123 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #39787	C₂	semidirect
3. #32395	C₂	semidirect
4. #31948	C₂	semidirect
5. #31708	C₂	semidirect
7. #31549	C₂	semidirect
8. #31381	C₂	semidirect
9. #31380	C₂	semidirect
11. #29109	C₂	semidirect
12. #29093	C₂	semidirect
13. #28079	C₂	semidirect
14. #28049	C₂	semidirect
15. #27883	C₂	semidirect
16. #27740	C₂	semidirect
17. #27712	C₂	semidirect
18. #27577	C₂	semidirect
19. #27536	C₂	semidirect
20. #27376	C₂	semidirect
21. #27125	C₂	semidirect
22. #26748	C₂	semidirect
23. #25040	C₂	semidirect
24. #24975	C₂	semidirect
25. #24934	C₂	semidirect
26. #24917	C₂	semidirect
27. #23765	C₂	semidirect
28. #23302	C₂	semidirect
29. #23135	C₂	semidirect
30. #22781	C₂	semidirect
31. #22049	C₂	semidirect
46. #2570	C₂²	semidirect
53. #2509	C₂²	semidirect
56. #2494	C₂²	semidirect
60. #2451	C₂²	semidirect
62. #2439	C₂²	semidirect
63. #2423	C₂²	semidirect
69. #2362	C₂²	semidirect
72. #2351	C₂²	semidirect
80. #2101	C₂²	semidirect
81. #2101	C₂²	semidirect
82. #2101	C₂²	semidirect
83. #2099	C₂²	semidirect
84. #2097	C₂²	semidirect
87. #2086	C₂²	semidirect
88. #2086	C₂²	semidirect
89. #2085	C₂²	semidirect
90. #2085	C₂²	semidirect
91. #2085	C₂²	semidirect
92. #2083	C₂²	semidirect
96. #2077	C₂²	semidirect
100. #2074	C₂²	semidirect
108. #2057	C₂²	semidirect
111. #2036	C₂²	semidirect
116. #2024	C₂²	semidirect
120. #1993	C₂²	semidirect
121. #1993	C₂²	semidirect
122. #1993	C₂²	semidirect
123. #1988	C₂²	semidirect
127. #1949	C₂²	semidirect
128. #1943	C₂²	semidirect
137. #1935	C₂²	semidirect
145. #1924	C₂²	semidirect
146. #1924	C₂²	semidirect
147. #1921	C₂²	semidirect
148. #1921	C₂²	semidirect
149. #1921	C₂²	semidirect
150. #1920	C₂²	semidirect
151. #1920	C₂²	semidirect
152. #1919	C₂²	semidirect
153. #1918	C₂²	semidirect
154. #1917	C₂²	semidirect
155. #1917	C₂²	semidirect
165. #1873	C₂²	semidirect
168. #1865	C₂²	semidirect
172. #1854	C₂²	semidirect
174. #1847	C₂²	semidirect
175. #1836	C₂²	semidirect
176. #1836	C₂²	semidirect
177. #1835	C₂²	semidirect
178. #1825	C₂²	semidirect
179. #1825	C₂²	semidirect
182. #1808	C₂²	semidirect
183. #1805	C₂²	semidirect
186. #1803	C₂²	semidirect
190. #1776	C₂²	semidirect
191. #1776	C₂²	semidirect
192. #1771	C₂²	semidirect
193. #1771	C₂²	semidirect
194. #1763	C₂²	semidirect
195. #1763	C₂²	semidirect
197. C₄×#103	C₂²	semidirect
198. #1752	C₂²	semidirect
199. #1752	C₂²	semidirect
202. #1735	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#59224	2
#39787	2
#32395	2
#31948	2
#31708	2
#31672	2
#31549	2
#31381	2
#31380	2
#30408	2
#29109	2
#29093	2
#28079	2
#28049	2
#27883	2
#27740	2
#27712	2
#27577	2
#27536	2
#27376	2
#27125	2
#26748	2
#25040	2
#24975	2
#24934	2
#24917	2
#23765	2
#23302	2
#23135	2
#22781	2
#22049	2