Subgroups — #6741645

Order 512.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#40101	C₂	1	1	yes	maximal, characteristic, complemented
2	#36162	C₂	1	1	yes	maximal, characteristic
3	#32953	C₂	1	1	yes	maximal, characteristic, complemented
4	#31666	C₂	1	1	yes	maximal, characteristic
5	#31466	C₂	1	1	yes	maximal, characteristic, complemented
6	#31306	C₂	1	1	yes	maximal, characteristic, complemented
7	#31235	C₂	1	1	yes	maximal, characteristic, complemented
8	#31138	C₂	1	1	yes	maximal, characteristic, complemented
9	#30996	C₂	1	1	yes	maximal, characteristic, complemented
10	#30606	C₂	1	1	yes	maximal, characteristic, complemented
11	#30424	C₂	1	1	yes	maximal, characteristic
12	#30367	C₂	1	1	yes	maximal, characteristic, complemented
13	#30013	C₂	1	1	yes	maximal, characteristic, complemented
14	#29063	C₂	1	1	yes	maximal, characteristic, complemented
15	#28973	C₂	1	1	yes	maximal, characteristic, complemented
16	#27454	C₂	1	1	yes	maximal, characteristic, complemented
17	#27176	C₂	1	1	yes	maximal, characteristic, complemented
18	#27055	C₂	1	1	yes	maximal, characteristic, complemented
19	#26893	C₂	1	1	yes	maximal, characteristic, complemented
20	#26777	C₂	1	1	yes	maximal, characteristic, complemented
21	#26686	C₂	1	1	yes	maximal, characteristic, complemented
22	#26645	C₂	1	1	yes	maximal, characteristic, complemented
23	#26535	C₂	1	1	yes	maximal, characteristic, complemented
24	#26387	C₂	1	1	yes	maximal, characteristic, complemented
25	#26357	C₂	1	1	yes	maximal, characteristic, complemented
26	#24127	C₂	1	1	yes	maximal, characteristic, complemented
27	#24110	C₂	1	1	yes	maximal, characteristic, complemented
28	#23041	C₂	1	1	yes	maximal, characteristic, complemented
29	#23009	C₂	1	1	yes	maximal, characteristic, complemented
30	#22359	C₂	1	1	yes	maximal, characteristic, complemented
31	#21453	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#552	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂×#484	C₂²	1	1	yes	characteristic, complemented
35	C₂×#479	C₂²	1	1	yes	characteristic, complemented
36	C₂×#474	C₂²	1	1	yes	characteristic
37	C₂×#474	C₂²	1	1	yes	characteristic
38	C₂×#468	C₂²	1	1	yes	characteristic
39	C₂×#464	C₂²	1	1	yes	characteristic
40	C₂×#450	C₂²	1	1	yes	characteristic
41	C₂×#440	C₂²	1	1	yes	characteristic
42	C₂×#440	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×#428	C₂²	1	1	yes	characteristic, complemented
45	#2857	C₂²	1	1	yes	characteristic
46	#2855	C₂²	1	1	yes	characteristic
47	#2849	—	2	1	no	—
48	#2791	—	2	1	no	—
49	#2771	—	2	1	no	—
50	#2689	—	2	1	no	—
51	#2680	—	2	1	no	—
52	#2666	—	2	1	no	—
53	#2577	—	2	1	no	—
54	#2570	C₂²	1	1	yes	characteristic, complemented
55	#2553	—	2	1	no	—
56	#2536	C₂²	1	1	yes	characteristic
57	#2508	C₂²	1	1	yes	characteristic, complemented
58	#2496	C₂²	1	1	yes	characteristic
59	#2495	C₂²	1	1	yes	characteristic, complemented
60	#2486	C₂²	1	1	yes	characteristic
61	#2482	—	2	1	no	—
62	#2467	—	2	1	no	—
63	#2467	—	2	1	no	—
64	#2460	—	2	1	no	—
65	#2460	—	2	1	no	—
66	#2454	C₂²	1	1	yes	characteristic
67	#2454	C₂²	1	1	yes	characteristic
68	#2451	C₂²	1	1	yes	characteristic, complemented
69	#2440	C₂²	1	1	yes	characteristic, complemented
70	#2435	C₂²	1	1	yes	characteristic
71	#2427	C₂²	1	1	yes	characteristic
72	#2427	C₂²	1	1	yes	characteristic
73	#2423	C₂²	1	1	yes	characteristic, complemented
74	#2421	C₂²	1	1	yes	characteristic
75	#2411	—	2	1	no	—
76	#2408	C₂²	1	1	yes	characteristic
77	#2367	C₂²	1	1	yes	characteristic
78	#2367	C₂²	1	1	yes	characteristic
79	#2363	C₂²	1	1	yes	characteristic
80	#2363	C₂²	1	1	yes	characteristic
81	#2360	C₂²	1	1	yes	characteristic, complemented
82	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	#2344	C₂²	1	1	yes	characteristic
84	#2332	—	2	1	no	—
85	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
86	C₄×#123	C₂²	1	1	yes	characteristic
87	#2280	—	2	1	no	—
88	#2101	C₂²	1	1	yes	characteristic, complemented
89	#2100	C₂²	1	1	yes	characteristic, complemented
90	#2095	C₂²	1	1	yes	characteristic, complemented
91	#2094	C₂²	1	1	yes	characteristic
92	#2092	C₂²	1	1	yes	characteristic
93	#2088	C₂²	1	1	yes	characteristic, complemented
94	#2086	C₂²	1	1	yes	characteristic, complemented
95	#2083	C₂²	1	1	yes	characteristic, complemented
96	#2075	C₂²	1	1	yes	characteristic
97	#2075	C₂²	1	1	yes	characteristic
98	#2075	C₂²	1	1	yes	characteristic
99	#2073	C₂²	1	1	yes	characteristic
100	#2073	C₂²	1	1	yes	characteristic
101	#2068	C₂²	1	1	yes	characteristic, complemented
102	#2068	C₂²	1	1	yes	characteristic, complemented
103	#2067	C₂²	1	1	yes	characteristic
104	#2067	C₂²	1	1	yes	characteristic
105	#2066	C₂²	1	1	yes	characteristic, complemented
106	#2065	C₂²	1	1	yes	characteristic
107	#2065	C₂²	1	1	yes	characteristic
108	#2059	C₂²	1	1	yes	characteristic, complemented
109	#2059	C₂²	1	1	yes	characteristic, complemented
110	#2058	C₂²	1	1	yes	characteristic, complemented
111	#2056	C₂²	1	1	yes	characteristic, complemented
112	#2042	C₂²	1	1	yes	characteristic
113	#2042	C₂²	1	1	yes	characteristic
114	#2042	C₂²	1	1	yes	characteristic
115	#2036	C₂²	1	1	yes	characteristic, complemented
116	#2035	C₂²	1	1	yes	characteristic
117	#2035	C₂²	1	1	yes	characteristic
118	#2035	C₂²	1	1	yes	characteristic
119	#2035	C₂²	1	1	yes	characteristic
120	#2034	C₂²	1	1	yes	characteristic
121	#2033	C₂²	1	1	yes	characteristic
122	#2033	C₂²	1	1	yes	characteristic
123	#2024	C₂²	1	1	yes	characteristic, complemented
124	#2015	C₂²	1	1	yes	characteristic
125	#2001	C₂²	1	1	yes	characteristic
126	#2001	C₂²	1	1	yes	characteristic, complemented
127	#2000	C₂²	1	1	yes	characteristic
128	#1991	C₂²	1	1	yes	characteristic, complemented
129	#1983	C₂²	1	1	yes	characteristic
130	#1968	C₂²	1	1	yes	characteristic
131	#1959	C₂²	1	1	yes	characteristic
132	#1958	C₂²	1	1	yes	characteristic
133	#1954	C₂²	1	1	yes	characteristic
134	#1949	C₂²	1	1	yes	characteristic, complemented
135	#1947	C₂²	1	1	yes	characteristic, complemented
136	#1943	C₂²	1	1	yes	characteristic, complemented
137	#1943	C₂²	1	1	yes	characteristic, complemented
138	#1943	C₂²	1	1	yes	characteristic, complemented
139	#1942	C₂²	1	1	yes	characteristic, complemented
140	#1939	C₂²	1	1	yes	characteristic, complemented
141	#1936	C₂²	1	1	yes	characteristic
142	#1935	C₂²	1	1	yes	characteristic, complemented
143	#1935	C₂²	1	1	yes	characteristic, complemented
144	#1934	C₂²	1	1	yes	characteristic
145	#1934	C₂²	1	1	yes	characteristic
146	#1928	C₂²	1	1	yes	characteristic, complemented
147	#1928	C₂²	1	1	yes	characteristic, complemented
148	#1926	C₂²	1	1	yes	characteristic
149	#1924	C₂²	1	1	yes	characteristic
150	#1924	C₂²	1	1	yes	characteristic, complemented
151	#1924	C₂²	1	1	yes	characteristic, complemented
152	#1923	C₂²	1	1	yes	characteristic
153	#1921	C₂²	1	1	yes	characteristic, complemented
154	#1919	C₂²	1	1	yes	characteristic, complemented
155	#1918	C₂²	1	1	yes	characteristic, complemented
156	#1918	C₂²	1	1	yes	characteristic, complemented
157	#1918	C₂²	1	1	yes	characteristic, complemented
158	#1917	C₂²	1	1	yes	characteristic, complemented
159	#1916	C₂²	1	1	yes	characteristic, complemented
160	#1895	C₂²	1	1	yes	characteristic
161	#1894	C₂²	1	1	yes	characteristic, complemented
162	#1880	C₂²	1	1	yes	characteristic
163	#1880	C₂²	1	1	yes	characteristic
164	#1880	C₂²	1	1	yes	characteristic
165	#1878	C₂²	1	1	yes	characteristic, complemented
166	#1877	C₂²	1	1	yes	characteristic
167	#1877	C₂²	1	1	yes	characteristic
168	#1874	C₂²	1	1	yes	characteristic
169	#1874	C₂²	1	1	yes	characteristic
170	#1873	C₂²	1	1	yes	characteristic, complemented
171	#1872	C₂²	1	1	yes	characteristic
172	#1870	C₂²	1	1	yes	characteristic
173	#1865	C₂²	1	1	yes	characteristic, complemented
174	#1863	C₂²	1	1	yes	characteristic, complemented
175	#1863	C₂²	1	1	yes	characteristic, complemented
176	#1863	C₂²	1	1	yes	characteristic, complemented
177	#1862	C₂²	1	1	yes	characteristic
178	#1862	C₂²	1	1	yes	characteristic
179	#1862	C₂²	1	1	yes	characteristic
180	#1862	C₂²	1	1	yes	characteristic
181	#1862	C₂²	1	1	yes	characteristic
182	#1862	C₂²	1	1	yes	characteristic
183	#1854	C₂²	1	1	yes	characteristic, complemented
184	#1852	C₂²	1	1	yes	characteristic
185	#1852	C₂²	1	1	yes	characteristic
186	#1852	C₂²	1	1	yes	characteristic
187	#1851	C₂²	1	1	yes	characteristic, complemented
188	#1825	C₂²	1	1	yes	characteristic, complemented
189	#1805	C₂²	1	1	yes	characteristic, complemented
190	#1802	C₂²	1	1	yes	characteristic
191	#1802	C₂²	1	1	yes	characteristic
192	#1797	C₂²	1	1	yes	characteristic
193	#1786	C₂²	1	1	yes	characteristic
194	#1786	C₂²	1	1	yes	characteristic
195	#1786	C₂²	1	1	yes	characteristic
196	C₄×#107	C₂²	1	1	yes	characteristic, complemented
197	#1771	C₂²	1	1	yes	characteristic, complemented
198	#1763	C₂²	1	1	yes	characteristic, complemented
199	#1762	C₂²	1	1	yes	characteristic
200	#1762	C₂²	1	1	yes	characteristic
201	#1753	C₂²	1	1	yes	characteristic, complemented
202	#1749	C₂²	1	1	yes	characteristic
203	C₂³×D₄	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄	—	2	1	no	—
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	#552	—	4	2	no	—
210	#552	—	4	2	no	—
211	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₂×#126	—	2	1	no	—
213	C₂×#126	—	2	1	no	—
214	C₂×#125	—	2	1	no	—
215	C₂×#125	C₂³	1	1	yes	characteristic
216	C₂×#124	C₂³	1	1	yes	characteristic
217	C₂×#124	C₂³	1	1	yes	characteristic
218	C₂×#123	—	2	1	no	—
219	C₂×#123	—	2	1	no	—
220	C₂×#123	D₄	1	1	yes	characteristic
221	C₂×C₂²⋊Q₈	—	2	1	no	—
222	C₂×C₂²⋊Q₈	—	2	1	no	—
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₂×#121	C₂³	1	1	yes	characteristic
228	C₂×#121	C₂³	1	1	yes	characteristic
229	C₂×#120	—	2	1	no	—
230	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄	—	2	1	no	—
235	C₂×C₄×D₄	—	2	1	no	—
236	C₂×C₄×D₄	—	4	2	no	—
237	C₂×C₄×D₄	—	4	2	no	—
238	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
243	C₂×#117	—	2	1	no	—
244	C₂×#117	—	2	1	no	—
245	C₂×#117	C₂³	1	1	yes	characteristic
246	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊C₄	—	2	1	no	—
249	C₂²×C₄²	C₂³	1	1	yes	characteristic
250	#484	—	4	2	no	—
251	#479	—	4	2	no	—
252	#474	—	4	2	no	—
253	#474	—	4	2	no	—
254	#468	—	2	4	no	—
255	#464	—	2	4	no	—
256	#450	—	2	4	no	—
257	#440	—	4	2	no	—
258	#440	—	4	2	no	—
259	C₄×Q₁₆	—	4	2	no	—
260	#428	—	4	2	no	—
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#107	C₂³	1	1	yes	characteristic
263	C₂×#107	C₂³	1	1	yes	characteristic
264	C₂×#107	C₂³	1	1	yes	characteristic
265	C₂×#107	C₂³	1	1	yes	characteristic
266	C₂×#107	C₂³	1	1	yes	characteristic
267	C₂×#107	C₂³	1	1	yes	characteristic
268	C₂×#107	C₂³	1	1	yes	characteristic
269	C₂×#107	C₂³	1	1	yes	characteristic
270	C₂×#106	C₂³	1	1	yes	characteristic
271	C₂×#106	C₂³	1	1	yes	characteristic
272	C₂×#106	C₂³	1	1	yes	characteristic
273	C₂×#106	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
284	C₂×#103	C₂³	1	1	yes	characteristic
285	C₂×#103	C₂³	1	1	yes	characteristic
286	C₂×#103	C₂³	1	1	yes	characteristic
287	C₂×#103	C₂³	1	1	yes	characteristic
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	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×#102	C₂³	1	1	yes	characteristic
302	C₂×#102	C₂³	1	1	yes	characteristic
303	C₂×#102	C₂³	1	1	yes	characteristic
304	C₂×#102	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×#97	C₂³	1	1	yes	characteristic
315	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	#400	—	2	1	no	—
318	#400	—	2	1	no	—
319	#400	—	2	1	no	—
320	#400	—	2	1	no	—
321	#400	—	2	1	no	—
322	#399	—	2	1	no	—
323	#399	—	2	1	no	—
324	#399	—	2	1	no	—
325	#398	—	2	1	no	—
326	#398	—	2	1	no	—
327	#398	—	2	1	no	—
328	#398	—	2	1	no	—
329	#398	—	2	1	no	—
330	#398	—	2	1	no	—
331	#398	—	2	1	no	—
332	#397	—	2	1	no	—
333	#397	—	2	1	no	—
334	#397	—	2	1	no	—
335	#397	—	2	1	no	—
336	#397	—	2	1	no	—
337	#397	—	2	1	no	—
338	#396	—	2	1	no	—
339	#396	—	2	1	no	—
340	#395	—	2	1	no	—
341	#395	—	2	1	no	—
342	#394	—	2	1	no	—
343	#394	—	2	1	no	—
344	#394	—	2	1	no	—
345	#394	—	2	1	no	—
346	#394	—	2	1	no	—
347	#394	—	2	1	no	—
348	#392	—	2	1	no	—
349	#391	—	2	1	no	—
350	#391	—	2	1	no	—
351	#391	C₂³	1	1	yes	characteristic
352	#391	C₂³	1	1	yes	characteristic
353	#391	C₂³	1	1	yes	characteristic
354	#391	C₂³	1	1	yes	characteristic
355	#390	—	2	1	no	—
356	#390	—	2	1	no	—
357	#390	C₂³	1	1	yes	characteristic
358	#390	C₂³	1	1	yes	characteristic
359	#390	C₂³	1	1	yes	characteristic
360	#390	C₂³	1	1	yes	characteristic
361	#389	—	2	1	no	—
362	#389	—	2	1	no	—
363	#389	—	2	1	no	—
364	#389	—	2	1	no	—
365	#389	C₂³	1	1	yes	characteristic
366	#389	C₂³	1	1	yes	characteristic
367	#389	C₂³	1	1	yes	characteristic
368	#389	C₂³	1	1	yes	characteristic
369	#389	C₂³	1	1	yes	characteristic
370	#389	C₂³	1	1	yes	characteristic
371	#389	C₂³	1	1	yes	characteristic
372	#389	C₂³	1	1	yes	characteristic
373	#389	C₂³	1	1	yes	characteristic
374	#389	C₂³	1	1	yes	characteristic
375	#389	C₂³	1	1	yes	characteristic
376	#389	C₂³	1	1	yes	characteristic
377	#388	—	2	1	no	—
378	#388	—	2	1	no	—
379	#388	—	2	1	no	—
380	#388	—	2	1	no	—
381	#388	—	2	1	no	—
382	#388	—	2	1	no	—
383	#388	—	2	1	no	—
384	#388	—	2	1	no	—
385	#388	—	2	1	no	—
386	#388	—	2	1	no	—
387	#388	—	2	1	no	—
388	#388	D₄	1	1	yes	characteristic
389	#388	D₄	1	1	yes	characteristic
390	#387	—	2	1	no	—
391	#387	—	2	1	no	—
392	#387	—	2	1	no	—
393	#387	—	2	1	no	—
394	#387	—	2	1	no	—
395	#387	—	2	1	no	—
396	#387	—	2	1	no	—
397	#387	—	2	1	no	—
398	#387	—	2	1	no	—
399	#387	—	2	1	no	—
400	#387	—	2	1	no	—
401	#387	—	2	1	no	—
402	#387	—	2	1	no	—
403	#387	D₄	1	1	yes	characteristic
404	#387	D₄	1	1	yes	characteristic
405	#386	—	2	1	no	—
406	#386	—	2	1	no	—
407	#386	—	2	1	no	—
408	#386	—	2	1	no	—
409	#386	D₄	1	1	yes	characteristic
410	#385	—	2	1	no	—
411	#385	—	2	1	no	—
412	#385	—	2	1	no	—
413	#385	—	2	1	no	—
414	#385	—	2	1	no	—
415	#385	—	2	1	no	—
416	#385	—	2	1	no	—
417	#385	—	2	1	no	—
418	#385	D₄	1	1	yes	characteristic
419	#384	—	2	1	no	—
420	#384	C₂³	1	1	yes	characteristic
421	#384	C₂³	1	1	yes	characteristic
422	#383	—	2	1	no	—
423	#382	—	2	1	no	—
424	#382	C₂³	1	1	yes	characteristic
425	#382	C₂³	1	1	yes	characteristic
426	#381	—	2	1	no	—
427	#381	—	2	1	no	—
428	#381	—	2	1	no	—
429	#381	D₄	1	1	yes	characteristic
430	#380	—	2	1	no	—
431	#380	—	2	1	no	—
432	#380	—	2	1	no	—
433	#380	—	2	1	no	—
434	#380	—	2	1	no	—
435	#380	C₂³	1	1	yes	characteristic
436	#380	C₂³	1	1	yes	characteristic
437	#380	C₂³	1	1	yes	characteristic
438	#380	C₂³	1	1	yes	characteristic
439	#380	C₂³	1	1	yes	characteristic
440	#380	C₂³	1	1	yes	characteristic
441	#379	—	2	1	no	—
442	#379	—	2	1	no	—
443	#379	—	2	1	no	—
444	C₄×C₄⋊C₄	—	2	1	no	—
445	C₄×C₄⋊C₄	—	2	1	no	—
446	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
453	C₄×C₂²⋊C₄	—	2	1	no	—
454	C₄×C₂²⋊C₄	—	2	1	no	—
455	C₄×C₂²⋊C₄	—	2	1	no	—
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	—	2	1	no	—
458	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₂²⋊C₄	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	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	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	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	C₂⁵	—	2	1	no	—
494	C₂²×Q₈	—	2	1	no	—
495	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×D₄	—	2	2	no	—
498	C₂²×D₄	—	2	2	no	—
499	C₂²×D₄	—	2	1	no	—
500	C₂²×D₄	—	2	1	no	—
501	C₂²×D₄	—	2	1	no	—
502	C₂²×D₄	—	4	1	no	—
503	C₂²×D₄	—	4	1	no	—
504	C₂²×D₄	—	4	1	no	—
505	C₂²×D₄	—	4	1	no	—
506	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
507	C₂²×D₄	C₂⁴	1	1	yes	characteristic
508	C₂²×D₄	C₂⁴	1	1	yes	characteristic
509	C₂³×C₄	—	2	1	no	—
510	C₂³×C₄	—	2	1	no	—
511	C₂³×C₄	—	2	1	no	—
512	C₂³×C₄	—	2	1	no	—
513	C₂³×C₄	—	2	1	no	—
514	C₂³×C₄	—	2	1	no	—
515	C₂³×C₄	—	4	4	no	—
516	C₂³×C₄	—	4	4	no	—
517	C₂³×C₄	—	8	2	no	—
518	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
519	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
520	C₂³×C₄	C₂⁴	1	1	yes	characteristic
521	C₂³×C₄	C₂⁴	1	1	yes	characteristic
522	C₂×Q₁₆	—	2	2	no	—
523	C₂×Q₁₆	—	4	1	no	—
524	C₂×Q₁₆	—	4	1	no	—
525	C₂×SD₁₆	—	2	2	no	—
526	C₂×SD₁₆	—	2	2	no	—
527	C₂×SD₁₆	—	4	1	no	—
528	C₂×SD₁₆	—	4	1	no	—
529	C₂×SD₁₆	—	4	1	no	—
530	C₂×SD₁₆	#41	1	4	yes	—
531	C₂×M₁₆	—	2	2	no	—
532	C₂×M₁₆	—	4	1	no	—
533	C₂×M₁₆	—	4	1	no	—
534	C₂²×C₈	C₂⁴	1	1	yes	characteristic
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₂²×C₈	C₂⁴	1	1	yes	characteristic
537	C₂²×C₈	C₂⁴	1	1	yes	characteristic
538	C₂²×C₈	C₂⁴	1	1	yes	characteristic
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₂²×C₈	C₂⁴	1	1	yes	characteristic
541	C₂²×C₈	C₂⁴	1	1	yes	characteristic
542	C₄⋊Q₈	—	4	1	no	—
543	C₄⋊Q₈	—	4	1	no	—
544	#126	—	4	4	no	—
545	#126	—	8	2	no	—
546	#125	—	2	2	no	—
547	#125	—	4	1	no	—
548	#125	—	4	4	no	—
549	#124	—	2	2	no	—
550	#124	—	2	2	no	—
551	#124	—	4	1	no	—
552	#124	—	4	1	no	—
553	#123	—	4	2	no	—
554	#123	—	4	4	no	—
555	#123	—	8	2	no	—
556	C₂²⋊Q₈	—	2	2	no	—
557	C₂²⋊Q₈	—	2	2	no	—
558	C₂²⋊Q₈	—	2	2	no	—
559	C₂²⋊Q₈	—	4	4	no	—
560	C₂²⋊Q₈	—	4	1	no	—
561	C₂²⋊Q₈	—	4	1	no	—
562	C₂²⋊Q₈	—	4	1	no	—
563	C₂²⋊Q₈	—	4	1	no	—
564	C₂²⋊Q₈	—	4	1	no	—
565	C₂²⋊Q₈	—	8	2	no	—
566	#121	—	2	2	no	—
567	#121	—	2	2	no	—
568	#121	—	4	1	no	—
569	#121	—	4	1	no	—
570	#120	—	8	2	no	—
571	C₄×Q₈	—	2	2	no	—
572	C₄×Q₈	—	2	2	no	—
573	C₄×Q₈	—	4	1	no	—
574	C₄×Q₈	—	4	1	no	—
575	C₄×Q₈	—	4	1	no	—
576	C₄×Q₈	—	4	1	no	—
577	C₄×Q₈	—	4	1	no	—
578	C₄×Q₈	—	4	1	no	—
579	C₄×D₄	—	2	2	no	—
580	C₄×D₄	—	2	2	no	—
581	C₄×D₄	—	2	2	no	—
582	C₄×D₄	—	2	2	no	—
583	C₄×D₄	—	4	1	no	—
584	C₄×D₄	—	4	1	no	—
585	C₄×D₄	—	4	1	no	—
586	C₄×D₄	—	4	1	no	—
587	C₄×D₄	—	4	1	no	—
588	C₄×D₄	—	4	1	no	—
589	C₄×D₄	—	4	4	no	—
590	C₄×D₄	—	4	4	no	—
591	#117	—	2	2	no	—
592	#117	—	4	1	no	—
593	#117	—	4	4	no	—
594	#117	—	8	2	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	2	no	—
597	C₂×C₄⋊C₄	—	2	2	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	—	2	1	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	4	1	no	—
627	C₂×C₄⋊C₄	—	4	1	no	—
628	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	2	1	no	—
667	C₂×C₂²⋊C₄	—	2	1	no	—
668	C₂×C₂²⋊C₄	—	2	1	no	—
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	—	4	4	no	—
675	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	—	2	1	no	—
685	C₂×C₄²	—	2	1	no	—
686	C₂×C₄²	—	2	1	no	—
687	C₂×C₄²	—	2	1	no	—
688	C₂×C₄²	—	2	1	no	—
689	C₂×C₄²	—	2	1	no	—
690	C₂×C₄²	—	2	1	no	—
691	C₂×C₄²	—	2	1	no	—
692	C₂×C₄²	—	4	1	no	—
693	C₂×C₄²	—	4	1	no	—
694	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
695	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
696	C₂×C₄²	C₂⁴	1	1	yes	characteristic
697	C₂×C₄²	C₂⁴	1	1	yes	characteristic
698	C₂×C₄²	C₂⁴	1	1	yes	characteristic
699	C₂×C₄²	C₂⁴	1	1	yes	characteristic
700	C₂×C₄²	C₂⁴	1	1	yes	characteristic
701	#107	—	2	2	no	—
702	#107	—	2	2	no	—
703	#107	—	2	2	no	—
704	#107	—	2	2	no	—
705	#107	—	2	2	no	—
706	#107	—	2	2	no	—
707	#107	—	2	2	no	—
708	#107	—	4	1	no	—
709	#107	—	4	1	no	—
710	#106	—	4	1	no	—
711	#106	—	4	1	no	—
712	#106	—	4	1	no	—
713	#106	—	4	1	no	—
714	C₄⋊C₈	—	2	2	no	—
715	C₄⋊C₈	—	4	1	no	—
716	C₄⋊C₈	—	4	1	no	—
717	C₄⋊C₈	—	4	1	no	—
718	C₄⋊C₈	—	4	1	no	—
719	#103	—	2	2	no	—
720	#103	—	2	2	no	—
721	#103	—	2	2	no	—
722	#103	—	2	2	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#103	—	4	1	no	—
726	#103	—	4	1	no	—
727	#103	—	4	1	no	—
728	#103	—	4	1	no	—
729	#103	—	4	1	no	—
730	#103	—	4	1	no	—
731	#102	—	2	2	no	—
732	#102	—	2	2	no	—
733	#102	—	2	2	no	—
734	#102	—	2	2	no	—
735	#102	—	2	2	no	—
736	#102	—	4	1	no	—
737	#102	—	4	1	no	—
738	#102	—	4	1	no	—
739	#102	—	4	1	no	—
740	#102	—	4	1	no	—
741	#102	—	4	1	no	—
742	#102	—	4	1	no	—
743	#102	—	4	1	no	—
744	#102	—	4	1	no	—
745	C₂²⋊C₈	—	2	2	no	—
746	C₂²⋊C₈	—	4	1	no	—
747	C₂²⋊C₈	—	4	1	no	—
748	C₂²⋊C₈	—	4	1	no	—
749	C₂²⋊C₈	—	4	1	no	—
750	C₂²⋊C₈	—	4	1	no	—
751	C₂²⋊C₈	—	4	1	no	—
752	#97	—	4	1	no	—
753	#97	—	4	1	no	—
754	#97	—	4	1	no	—
755	C₄×C₈	—	4	1	no	—
756	C₄×C₈	—	4	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	—	2	1	no	—
771	#95	—	2	1	no	—
772	#95	—	2	1	no	—
773	#95	—	2	1	no	—
774	#95	—	2	1	no	—
775	#95	—	2	1	no	—
776	#95	—	2	1	no	—
777	#95	—	2	1	no	—
778	#95	—	2	1	no	—
779	#95	—	2	1	no	—
780	#95	—	2	1	no	—
781	#95	—	2	1	no	—
782	#95	—	2	1	no	—
783	#95	—	2	1	no	—
784	#95	—	2	1	no	—
785	#95	—	2	1	no	—
786	#95	—	2	1	no	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	C₂×D₄	1	1	yes	characteristic
792	#95	C₂×D₄	1	1	yes	characteristic
793	#95	C₂×D₄	1	1	yes	characteristic
794	#95	C₂×D₄	1	1	yes	characteristic
795	#95	C₂×D₄	1	1	yes	characteristic
796	#95	C₂×D₄	1	1	yes	characteristic
797	#95	C₂×D₄	1	1	yes	characteristic
798	#95	C₂×D₄	1	1	yes	characteristic
799	#95	C₂×D₄	1	1	yes	characteristic
800	#95	C₂×D₄	1	1	yes	characteristic
801	C₂⁴	—	2	1	no	—
802	C₂⁴	—	2	1	no	—
803	C₂⁴	—	4	2	no	—
804	C₂⁴	—	4	2	no	—
805	C₂⁴	—	4	2	no	—
806	C₂⁴	—	4	2	no	—
807	C₂⁴	—	4	2	no	—
808	C₂⁴	—	8	1	no	—
809	C₂⁴	—	8	1	no	—
810	C₂⁴	C₂²×D₄	1	1	yes	characteristic
811	C₂⁴	C₂²×D₄	1	1	yes	characteristic
812	C₂×Q₈	—	2	1	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	1	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	2	1	no	—
821	C₂×Q₈	—	2	1	no	—
822	C₂×Q₈	—	2	1	no	—
823	C₂×Q₈	—	4	2	no	—
824	C₂×Q₈	—	8	1	no	—
825	C₂×Q₈	—	8	1	no	—
826	C₂×Q₈	C₂×#41	1	2	yes	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	1	no	—
832	C₂×D₄	—	2	1	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	2	1	no	—
836	C₂×D₄	—	2	1	no	—
837	C₂×D₄	—	2	1	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	1	no	—
842	C₂×D₄	—	4	1	no	—
843	C₂×D₄	—	4	4	no	—
844	C₂×D₄	—	4	4	no	—
845	C₂×D₄	—	4	4	no	—
846	C₂×D₄	—	4	4	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	4	2	no	—
849	C₂×D₄	—	8	1	no	—
850	C₂×D₄	—	8	1	no	—
851	C₂×D₄	—	8	1	no	—
852	C₂×D₄	—	8	1	no	—
853	C₂×D₄	C₂×#41	1	2	yes	—
854	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
855	C₂²×C₄	—	2	4	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	1	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	4	1	no	—
885	C₂²×C₄	—	4	1	no	—
886	C₂²×C₄	—	4	1	no	—
887	C₂²×C₄	—	4	1	no	—
888	C₂²×C₄	—	4	2	no	—
889	C₂²×C₄	—	4	2	no	—
890	C₂²×C₄	—	4	2	no	—
891	C₂²×C₄	—	4	2	no	—
892	C₂²×C₄	—	4	2	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	—	4	2	no	—
895	C₂²×C₄	—	4	2	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	2	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	8	1	no	—
900	C₂²×C₄	—	8	1	no	—
901	C₂²×C₄	—	8	1	no	—
902	C₂²×C₄	—	8	1	no	—
903	C₂²×C₄	—	8	16	no	—
904	C₂²×C₄	—	8	1	no	—
905	C₂²×C₄	—	8	1	no	—
906	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
909	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
910	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
911	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
912	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
913	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
914	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
915	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
919	Q₁₆	—	4	4	no	—
920	SD₁₆	—	4	4	no	—
921	SD₁₆	—	4	4	no	—
922	M₁₆	—	4	4	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	2	1	no	—
946	C₂×C₈	C₂×#41	1	2	yes	—
947	C₄⋊C₄	—	2	4	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	4	1	no	—
972	C₄⋊C₄	—	4	1	no	—
973	C₄⋊C₄	—	4	1	no	—
974	C₄⋊C₄	—	4	1	no	—
975	C₄⋊C₄	—	4	2	no	—
976	C₄⋊C₄	—	4	2	no	—
977	C₄⋊C₄	—	4	2	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	—	4	2	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	—	4	2	no	—
983	C₄⋊C₄	—	4	2	no	—
984	C₄⋊C₄	—	4	2	no	—
985	C₄⋊C₄	—	4	2	no	—
986	C₄⋊C₄	—	4	2	no	—
987	C₄⋊C₄	—	8	1	no	—
988	C₄⋊C₄	—	8	1	no	—
989	C₄⋊C₄	—	8	1	no	—
990	C₄⋊C₄	—	8	1	no	—
991	C₄⋊C₄	—	8	1	no	—
992	C₄⋊C₄	—	8	1	no	—
993	C₄⋊C₄	—	8	1	no	—
994	C₄⋊C₄	—	8	1	no	—
995	C₄⋊C₄	—	8	1	no	—
996	C₄⋊C₄	—	8	1	no	—
997	C₄⋊C₄	—	8	1	no	—
998	C₄⋊C₄	—	8	1	no	—
999	C₄⋊C₄	—	8	1	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₄⋊C₄	—	8	1	no	—
1003	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1004	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	4	1	no	—
1008	C₂²⋊C₄	—	4	1	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	4	1	no	—
1011	C₂²⋊C₄	—	4	1	no	—
1012	C₂²⋊C₄	—	4	1	no	—
1013	C₂²⋊C₄	—	4	2	no	—
1014	C₂²⋊C₄	—	4	2	no	—
1015	C₂²⋊C₄	—	4	2	no	—
1016	C₂²⋊C₄	—	4	2	no	—
1017	C₂²⋊C₄	—	4	2	no	—
1018	C₂²⋊C₄	—	4	2	no	—
1019	C₂²⋊C₄	—	4	2	no	—
1020	C₂²⋊C₄	—	4	2	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	2	no	—
1024	C₂²⋊C₄	—	4	2	no	—
1025	C₂²⋊C₄	—	4	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	—	4	2	no	—
1028	C₂²⋊C₄	—	4	2	no	—
1029	C₂²⋊C₄	—	4	2	no	—
1030	C₂²⋊C₄	—	4	2	no	—
1031	C₂²⋊C₄	—	4	2	no	—
1032	C₂²⋊C₄	—	4	2	no	—
1033	C₂²⋊C₄	—	8	1	no	—
1034	C₂²⋊C₄	—	8	1	no	—
1035	C₂²⋊C₄	—	8	1	no	—
1036	C₂²⋊C₄	—	8	1	no	—
1037	C₂²⋊C₄	—	8	1	no	—
1038	C₂²⋊C₄	—	8	1	no	—
1039	C₂²⋊C₄	—	8	1	no	—
1040	C₂²⋊C₄	—	8	1	no	—
1041	C₂²⋊C₄	—	8	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	1	no	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	—	2	1	no	—
1052	C₄²	—	4	1	no	—
1053	C₄²	—	4	1	no	—
1054	C₄²	—	4	2	no	—
1055	C₄²	—	4	2	no	—
1056	C₄²	—	4	2	no	—
1057	C₄²	—	4	2	no	—
1058	C₄²	—	8	1	no	—
1059	C₄²	—	8	1	no	—
1060	C₄²	—	8	1	no	—
1061	C₄²	—	8	1	no	—
1062	C₄²	—	8	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	2	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	2	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	4	8	no	—
1079	C₂³	—	4	1	no	—
1080	C₂³	—	4	1	no	—
1081	C₂³	—	4	1	no	—
1082	C₂³	—	4	1	no	—
1083	C₂³	—	4	1	no	—
1084	C₂³	—	4	1	no	—
1085	C₂³	—	4	1	no	—
1086	C₂³	—	4	1	no	—
1087	C₂³	—	4	1	no	—
1088	C₂³	—	4	1	no	—
1089	C₂³	—	4	1	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	—	8	4	no	—
1092	C₂³	—	8	4	no	—
1093	C₂³	—	8	4	no	—
1094	C₂³	—	8	4	no	—
1095	C₂³	—	8	4	no	—
1096	C₂³	—	8	4	no	—
1097	C₂³	#576	1	2	yes	—
1098	C₂³	C₂³×D₄	1	1	yes	characteristic
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	4	1	no	—
1102	Q₈	—	4	1	no	—
1103	Q₈	—	4	1	no	—
1104	Q₈	—	4	1	no	—
1105	Q₈	—	4	1	no	—
1106	Q₈	—	4	1	no	—
1107	Q₈	—	16	2	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	4	8	no	—
1113	D₄	—	4	1	no	—
1114	D₄	—	4	1	no	—
1115	D₄	—	4	1	no	—
1116	D₄	—	4	1	no	—
1117	D₄	—	8	2	no	—
1118	D₄	—	16	2	no	—
1119	D₄	—	16	2	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	1	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	2	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	4	4	no	—
1159	C₂×C₄	—	4	8	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	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	4	1	no	—
1194	C₂×C₄	—	4	1	no	—
1195	C₂×C₄	—	4	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	1	no	—
1200	C₂×C₄	—	4	1	no	—
1201	C₂×C₄	—	4	1	no	—
1202	C₂×C₄	—	4	1	no	—
1203	C₂×C₄	—	4	1	no	—
1204	C₂×C₄	—	4	1	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	1	no	—
1207	C₂×C₄	—	8	4	no	—
1208	C₂×C₄	—	8	4	no	—
1209	C₂×C₄	—	8	2	no	—
1210	C₂×C₄	—	8	4	no	—
1211	C₂×C₄	—	8	4	no	—
1212	C₂×C₄	—	16	2	no	—
1213	C₂×C₄	#575	1	2	yes	—
1214	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1215	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1216	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1217	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1218	C₂×C₄	#585	1	1	yes	characteristic
1219	C₂×C₄	#585	1	1	yes	characteristic
1220	C₈	—	2	2	no	—
1221	C₈	—	4	1	no	—
1222	C₈	—	4	1	no	—
1223	C₈	—	4	1	no	—
1224	C₈	—	4	1	no	—
1225	C₈	—	4	1	no	—
1226	C₈	—	4	1	no	—
1227	C₈	—	4	1	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	2	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	2	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	8	16	no	—
1249	C₂²	—	8	1	no	—
1250	C₂²	—	8	1	no	—
1251	C₂²	—	8	1	no	—
1252	C₂²	—	8	1	no	—
1253	C₂²	—	8	1	no	—
1254	C₂²	—	8	1	no	—
1255	C₂²	—	8	1	no	—
1256	C₂²	—	8	1	no	—
1257	C₂²	D₄×#41	1	1	yes	characteristic
1258	C₂²	#3484	1	1	yes	characteristic
1259	C₂²	#3489	1	1	yes	characteristic
1260	C₂²	C₂×#575	1	1	yes	characteristic
1261	C₂²	C₂×#576	1	1	yes	characteristic
1262	C₂²	#3586	1	1	yes	characteristic
1263	C₂²	#3586	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	2	no	—
1270	C₄	—	4	2	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	8	1	no	—
1280	C₄	—	8	1	no	—
1281	C₄	—	8	1	no	—
1282	C₄	—	8	1	no	—
1283	C₄	—	8	1	no	—
1284	C₄	—	8	1	no	—
1285	C₄	—	8	1	no	—
1286	C₄	—	8	1	no	—
1287	C₄	—	8	1	no	—
1288	C₄	—	8	1	no	—
1289	C₄	—	8	1	no	—
1290	C₄	#3459	1	1	yes	characteristic
1291	C₄	#3520	1	1	yes	characteristic
1292	C₄	#3539	1	1	yes	characteristic
1293	C₄	#3541	1	1	yes	characteristic
1294	C₂	—	4	2	no	—
1295	C₂	—	8	1	no	—
1296	C₂	—	8	2	no	—
1297	C₂	—	8	2	no	—
1298	C₂	#37824	1	1	yes	characteristic
1299	C₂	#61463	1	1	yes	characteristic
1300	C₂	#61523	1	1	yes	characteristic
1301	C₂	#61592	1	1	yes	characteristic
1302	C₂	#61652	1	1	yes	characteristic
1303	C₂	#62116	1	1	yes	characteristic
1304	C₂	#62155	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
1. #40101	C₂	semidirect
3. #32953	C₂	semidirect
5. #31466	C₂	semidirect
6. #31306	C₂	semidirect
7. #31235	C₂	semidirect
8. #31138	C₂	semidirect
9. #30996	C₂	semidirect
10. #30606	C₂	semidirect
12. #30367	C₂	semidirect
13. #30013	C₂	semidirect
14. #29063	C₂	semidirect
15. #28973	C₂	semidirect
16. #27454	C₂	semidirect
17. #27176	C₂	semidirect
18. #27055	C₂	semidirect
19. #26893	C₂	semidirect
20. #26777	C₂	semidirect
21. #26686	C₂	semidirect
22. #26645	C₂	semidirect
23. #26535	C₂	semidirect
24. #26387	C₂	semidirect
25. #26357	C₂	semidirect
26. #24127	C₂	semidirect
27. #24110	C₂	semidirect
28. #23041	C₂	semidirect
29. #23009	C₂	semidirect
30. #22359	C₂	semidirect
31. #21453	C₂	semidirect
34. C₂×#484	C₂²	semidirect
35. C₂×#479	C₂²	semidirect
43. C₂×C₄×Q₁₆	C₂²	semidirect
44. C₂×#428	C₂²	semidirect
54. #2570	C₂²	semidirect
57. #2508	C₂²	semidirect
59. #2495	C₂²	semidirect
68. #2451	C₂²	semidirect
69. #2440	C₂²	semidirect
73. #2423	C₂²	semidirect
81. #2360	C₂²	semidirect
82. Q₈×C₄⋊C₄	C₂²	semidirect
88. #2101	C₂²	semidirect
89. #2100	C₂²	semidirect
90. #2095	C₂²	semidirect
93. #2088	C₂²	semidirect
94. #2086	C₂²	semidirect
95. #2083	C₂²	semidirect
101. #2068	C₂²	semidirect
102. #2068	C₂²	semidirect
105. #2066	C₂²	semidirect
108. #2059	C₂²	semidirect
109. #2059	C₂²	semidirect
110. #2058	C₂²	semidirect
111. #2056	C₂²	semidirect
115. #2036	C₂²	semidirect
123. #2024	C₂²	semidirect
126. #2001	C₂²	semidirect
128. #1991	C₂²	semidirect
134. #1949	C₂²	semidirect
135. #1947	C₂²	semidirect
136. #1943	C₂²	semidirect
137. #1943	C₂²	semidirect
138. #1943	C₂²	semidirect
139. #1942	C₂²	semidirect
140. #1939	C₂²	semidirect
142. #1935	C₂²	semidirect
143. #1935	C₂²	semidirect
146. #1928	C₂²	semidirect
147. #1928	C₂²	semidirect
150. #1924	C₂²	semidirect
151. #1924	C₂²	semidirect
153. #1921	C₂²	semidirect
154. #1919	C₂²	semidirect
155. #1918	C₂²	semidirect
156. #1918	C₂²	semidirect
157. #1918	C₂²	semidirect
158. #1917	C₂²	semidirect
159. #1916	C₂²	semidirect
161. #1894	C₂²	semidirect
165. #1878	C₂²	semidirect
170. #1873	C₂²	semidirect
173. #1865	C₂²	semidirect
174. #1863	C₂²	semidirect
175. #1863	C₂²	semidirect
176. #1863	C₂²	semidirect
183. #1854	C₂²	semidirect
187. #1851	C₂²	semidirect
188. #1825	C₂²	semidirect
189. #1805	C₂²	semidirect
196. C₄×#107	C₂²	semidirect
197. #1771	C₂²	semidirect
198. #1763	C₂²	semidirect
201. #1753	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#40101	2
#36162	2
#32953	2
#31666	2
#31466	2
#31306	2
#31235	2
#31138	2
#30996	2
#30606	2
#30424	2
#30367	2
#30013	2
#29063	2
#28973	2
#27454	2
#27176	2
#27055	2
#26893	2
#26777	2
#26686	2
#26645	2
#26535	2
#26387	2
#26357	2
#24127	2
#24110	2
#23041	2
#23009	2
#22359	2
#21453	2