Subgroups — #6579968

Order 512.

1706 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	#35745	C₂	1	1	yes	maximal, characteristic, complemented
2	#35702	C₂	1	1	yes	maximal, characteristic, complemented
3	#33159	C₂	1	1	yes	maximal, characteristic, complemented
4	#33054	C₂	1	1	yes	maximal, characteristic, complemented
5	#32917	C₂	1	1	yes	maximal, characteristic
6	#29099	C₂	1	1	yes	maximal, characteristic, complemented
7	#29095	C₂	1	1	yes	maximal, characteristic, complemented
8	#27735	C₂	1	1	yes	maximal, characteristic, complemented
9	#27721	C₂	1	1	yes	maximal, characteristic, complemented
10	#27719	C₂	1	1	yes	maximal, characteristic, complemented
11	#27565	C₂	1	1	yes	maximal, characteristic, complemented
12	#27563	C₂	1	1	yes	maximal, characteristic, complemented
13	#27426	C₂	1	1	yes	maximal, characteristic, complemented
14	#27422	C₂	1	1	yes	maximal, characteristic, complemented
15	#26413	C₂	1	1	yes	maximal, characteristic, complemented
16	#26409	C₂	1	1	yes	maximal, characteristic, complemented
17	#26124	C₂	1	1	yes	maximal, characteristic, complemented
18	#25939	C₂	1	1	yes	maximal, characteristic, complemented
19	#25335	C₂	1	1	yes	maximal, characteristic, complemented
20	#25296	C₂	1	1	yes	maximal, characteristic, complemented
21	#25002	C₂	1	1	yes	maximal, characteristic, complemented
22	#24530	C₂	1	1	yes	maximal, characteristic, complemented
23	#24526	C₂	1	1	yes	maximal, characteristic
24	#23005	C₂	1	1	yes	maximal, characteristic, complemented
25	#22868	C₂	1	1	yes	maximal, characteristic
26	#22864	C₂	1	1	yes	maximal, characteristic, complemented
27	#22780	C₂	1	1	yes	maximal, characteristic, complemented
28	#22776	C₂	1	1	yes	maximal, characteristic, complemented
29	Q₈×#102	C₂	1	1	yes	maximal, characteristic, complemented
30	#21602	C₂	1	1	yes	maximal, characteristic, complemented
31	#20416	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
33	C₂×#518	C₂²	1	1	yes	characteristic
34	C₂×#489	C₂²	1	1	yes	characteristic, complemented
35	C₂×#463	C₂²	1	1	yes	characteristic
36	C₂×#463	C₂²	1	1	yes	characteristic
37	C₂×#450	C₂²	1	1	yes	characteristic
38	C₂×#447	C₂²	1	1	yes	characteristic
39	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×#442	C₂²	1	1	yes	characteristic
41	C₂×#440	C₂²	1	1	yes	characteristic
42	C₂×#418	C₂²	1	1	yes	characteristic
43	C₂²×#102	C₂²	1	1	yes	characteristic
44	C₂×#405	C₂²	1	1	yes	characteristic
45	#2654	—	2	1	no	—
46	#2628	C₂²	1	1	yes	characteristic
47	#2626	—	2	1	no	—
48	#2620	C₂²	1	1	yes	characteristic
49	#2592	C₂²	1	1	yes	characteristic, complemented
50	#2580	C₂²	1	1	yes	characteristic
51	#2564	—	2	1	no	—
52	#2563	C₂²	1	1	yes	characteristic
53	#2558	—	2	1	no	—
54	#2553	—	2	1	no	—
55	#2552	C₂²	1	1	yes	characteristic, complemented
56	#2522	—	2	1	no	—
57	#2519	—	2	1	no	—
58	#2512	C₂²	1	1	yes	characteristic, complemented
59	#2511	C₂²	1	1	yes	characteristic, complemented
60	#2502	C₂²	1	1	yes	characteristic
61	#2501	C₂²	1	1	yes	characteristic
62	#2470	—	2	1	no	—
63	#2458	—	2	1	no	—
64	#2452	C₂²	1	1	yes	characteristic
65	#2452	C₂²	1	1	yes	characteristic
66	#2450	—	2	1	no	—
67	#2450	—	2	1	no	—
68	#2439	C₂²	1	1	yes	characteristic
69	#2439	C₂²	1	1	yes	characteristic
70	#2437	—	2	1	no	—
71	#2437	—	2	1	no	—
72	#2409	—	2	1	no	—
73	#2396	—	2	1	no	—
74	#2396	C₂²	1	1	yes	characteristic
75	C₂×#393	—	2	1	no	—
76	#2367	C₂²	1	1	yes	characteristic, complemented
77	#2363	C₂²	1	1	yes	characteristic
78	#2362	C₂²	1	1	yes	characteristic
79	#2355	C₂²	1	1	yes	characteristic, complemented
80	#2354	C₂²	1	1	yes	characteristic, complemented
81	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	#2349	C₂²	1	1	yes	characteristic
83	#2349	C₂²	1	1	yes	characteristic
84	#2349	C₂²	1	1	yes	characteristic
85	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
86	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
87	#2274	C₂²	1	1	yes	characteristic
88	#2101	C₂²	1	1	yes	characteristic, complemented
89	#2101	C₂²	1	1	yes	characteristic, complemented
90	#2100	C₂²	1	1	yes	characteristic, complemented
91	#2100	C₂²	1	1	yes	characteristic, complemented
92	#2099	C₂²	1	1	yes	characteristic, complemented
93	#2099	C₂²	1	1	yes	characteristic, complemented
94	#2088	C₂²	1	1	yes	characteristic, complemented
95	#2087	C₂²	1	1	yes	characteristic, complemented
96	#2074	C₂²	1	1	yes	characteristic, complemented
97	#2073	C₂²	1	1	yes	characteristic, complemented
98	#2071	C₂²	1	1	yes	characteristic
99	#2071	C₂²	1	1	yes	characteristic
100	#2071	C₂²	1	1	yes	characteristic
101	#2071	C₂²	1	1	yes	characteristic
102	#2068	C₂²	1	1	yes	characteristic, complemented
103	#2065	C₂²	1	1	yes	characteristic, complemented
104	#2055	C₂²	1	1	yes	characteristic
105	#2055	C₂²	1	1	yes	characteristic
106	#2054	C₂²	1	1	yes	characteristic
107	#2054	C₂²	1	1	yes	characteristic
108	#2024	C₂²	1	1	yes	characteristic, complemented
109	#2024	C₂²	1	1	yes	characteristic, complemented
110	#2023	C₂²	1	1	yes	characteristic, complemented
111	#2023	C₂²	1	1	yes	characteristic, complemented
112	#1990	C₂²	1	1	yes	characteristic, complemented
113	#1990	C₂²	1	1	yes	characteristic, complemented
114	#1990	C₂²	1	1	yes	characteristic, complemented
115	#1988	C₂²	1	1	yes	characteristic, complemented
116	#1988	C₂²	1	1	yes	characteristic, complemented
117	#1988	C₂²	1	1	yes	characteristic, complemented
118	#1987	C₂²	1	1	yes	characteristic, complemented
119	#1985	C₂²	1	1	yes	characteristic, complemented
120	#1970	C₂²	1	1	yes	characteristic
121	#1968	C₂²	1	1	yes	characteristic
122	#1958	C₂²	1	1	yes	characteristic, complemented
123	#1949	C₂²	1	1	yes	characteristic, complemented
124	#1949	C₂²	1	1	yes	characteristic, complemented
125	#1940	C₂²	1	1	yes	characteristic, complemented
126	#1936	C₂²	1	1	yes	characteristic
127	#1936	C₂²	1	1	yes	characteristic
128	#1936	C₂²	1	1	yes	characteristic, complemented
129	#1936	C₂²	1	1	yes	characteristic, complemented
130	#1935	C₂²	1	1	yes	characteristic, complemented
131	#1935	C₂²	1	1	yes	characteristic, complemented
132	#1934	C₂²	1	1	yes	characteristic, complemented
133	#1934	C₂²	1	1	yes	characteristic, complemented
134	#1933	C₂²	1	1	yes	characteristic, complemented
135	#1933	C₂²	1	1	yes	characteristic, complemented
136	#1926	C₂²	1	1	yes	characteristic
137	#1925	C₂²	1	1	yes	characteristic
138	#1921	C₂²	1	1	yes	characteristic, complemented
139	#1921	C₂²	1	1	yes	characteristic, complemented
140	#1920	C₂²	1	1	yes	characteristic, complemented
141	#1920	C₂²	1	1	yes	characteristic, complemented
142	#1919	C₂²	1	1	yes	characteristic, complemented
143	#1918	C₂²	1	1	yes	characteristic, complemented
144	#1916	C₂²	1	1	yes	characteristic, complemented
145	#1916	C₂²	1	1	yes	characteristic, complemented
146	#1895	C₂²	1	1	yes	characteristic
147	#1894	C₂²	1	1	yes	characteristic
148	#1893	C₂²	1	1	yes	characteristic
149	#1892	C₂²	1	1	yes	characteristic
150	#1880	C₂²	1	1	yes	characteristic
151	#1879	C₂²	1	1	yes	characteristic
152	#1879	C₂²	1	1	yes	characteristic
153	#1879	C₂²	1	1	yes	characteristic
154	#1879	C₂²	1	1	yes	characteristic
155	#1879	C₂²	1	1	yes	characteristic
156	#1879	C₂²	1	1	yes	characteristic
157	#1877	C₂²	1	1	yes	characteristic
158	#1877	C₂²	1	1	yes	characteristic
159	#1877	C₂²	1	1	yes	characteristic
160	#1877	C₂²	1	1	yes	characteristic
161	#1877	C₂²	1	1	yes	characteristic
162	#1875	C₂²	1	1	yes	characteristic
163	#1873	C₂²	1	1	yes	characteristic
164	#1865	C₂²	1	1	yes	characteristic, complemented
165	#1864	C₂²	1	1	yes	characteristic
166	#1862	C₂²	1	1	yes	characteristic
167	#1862	C₂²	1	1	yes	characteristic, complemented
168	#1854	C₂²	1	1	yes	characteristic
169	#1854	C₂²	1	1	yes	characteristic
170	#1850	C₂²	1	1	yes	characteristic
171	#1850	C₂²	1	1	yes	characteristic
172	#1836	C₂²	1	1	yes	characteristic, complemented
173	#1836	C₂²	1	1	yes	characteristic, complemented
174	#1836	C₂²	1	1	yes	characteristic, complemented
175	#1824	C₂²	1	1	yes	characteristic
176	#1823	C₂²	1	1	yes	characteristic
177	#1805	C₂²	1	1	yes	characteristic, complemented
178	#1804	C₂²	1	1	yes	characteristic, complemented
179	#1802	C₂²	1	1	yes	characteristic
180	#1802	C₂²	1	1	yes	characteristic
181	#1802	C₂²	1	1	yes	characteristic
182	#1802	C₂²	1	1	yes	characteristic
183	#1802	C₂²	1	1	yes	characteristic
184	#1802	C₂²	1	1	yes	characteristic
185	#1798	C₂²	1	1	yes	characteristic
186	#1771	C₂²	1	1	yes	characteristic, complemented
187	#1771	C₂²	1	1	yes	characteristic, complemented
188	#1770	C₂²	1	1	yes	characteristic, complemented
189	#1762	C₂²	1	1	yes	characteristic
190	#1762	C₂²	1	1	yes	characteristic
191	#1762	C₂²	1	1	yes	characteristic
192	#1762	C₂²	1	1	yes	characteristic
193	C₄×#102	C₂²	1	1	yes	characteristic
194	C₄×#102	C₂²	1	1	yes	characteristic
195	C₄×#102	C₂²	1	1	yes	characteristic
196	C₄×#102	C₂²	1	1	yes	characteristic
197	C₄×#102	C₂²	1	1	yes	characteristic
198	C₄×#102	C₂²	1	1	yes	characteristic
199	#1753	C₂²	1	1	yes	characteristic
200	#1753	C₂²	1	1	yes	characteristic
201	#1736	C₂²	1	1	yes	characteristic
202	#1735	C₂²	1	1	yes	characteristic
203	C₂³×Q₈	—	2	1	no	—
204	C₂³×D₄	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
207	C₂²×D₈	C₂³	1	1	yes	characteristic
208	C₂²×D₈	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂³×C₈	C₂³	1	1	yes	characteristic
211	D₄×Q₈	—	2	4	no	—
212	D₄×Q₈	—	4	2	no	—
213	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₂×#126	—	2	1	no	—
217	C₂×#125	—	2	1	no	—
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	—	2	1	no	—
223	C₂×C₂²⋊Q₈	—	2	1	no	—
224	C₂×C₂²⋊Q₈	—	2	1	no	—
225	C₂×C₂²⋊Q₈	—	2	1	no	—
226	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₂×#121	C₂³	1	1	yes	characteristic
228	#518	—	2	4	no	—
229	#518	—	4	2	no	—
230	C₂×C₄×Q₈	—	2	1	no	—
231	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄	—	2	1	no	—
234	C₂×C₄×D₄	—	2	1	no	—
235	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
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×C₄×D₄	C₂³	1	1	yes	characteristic
244	C₂×#117	—	2	1	no	—
245	C₂×#117	C₂³	1	1	yes	characteristic
246	C₂×#117	C₂³	1	1	yes	characteristic
247	C₂×#117	C₂³	1	1	yes	characteristic
248	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊C₄	—	2	1	no	—
250	C₂²×C₂²⋊C₄	—	2	1	no	—
251	C₂²×C₂²⋊C₄	—	2	1	no	—
252	C₂²×C₂²⋊C₄	—	2	1	no	—
253	#489	—	4	2	no	—
254	#463	—	2	4	no	—
255	#463	—	4	2	no	—
256	#450	—	2	4	no	—
257	#447	—	2	4	no	—
258	C₈×Q₈	—	4	2	no	—
259	#442	—	2	4	no	—
260	#440	—	2	4	no	—
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#107	C₂³	1	1	yes	characteristic
263	C₂×#106	C₂³	1	1	yes	characteristic
264	C₂×#106	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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	#418	—	2	4	no	—
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×#102	—	2	4	no	—
279	C₂×#102	C₂³	1	1	yes	characteristic
280	C₂×#102	C₂³	1	1	yes	characteristic
281	C₂×#102	C₂³	1	1	yes	characteristic
282	C₂×#102	C₂³	1	1	yes	characteristic
283	C₂×#102	C₂³	1	1	yes	characteristic
284	C₂×#102	C₂³	1	1	yes	characteristic
285	C₂×#102	C₂³	1	1	yes	characteristic
286	C₂×#102	C₂³	1	1	yes	characteristic
287	C₂×#102	C₂³	1	1	yes	characteristic
288	C₂×#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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	#405	—	4	2	no	—
300	C₂×#97	C₂³	1	1	yes	characteristic
301	C₂×#97	C₂³	1	1	yes	characteristic
302	C₂×#97	C₂³	1	1	yes	characteristic
303	C₂×#97	C₂³	1	1	yes	characteristic
304	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄×C₈	C₂³	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	#399	—	2	1	no	—
313	#399	—	2	1	no	—
314	#399	—	2	1	no	—
315	#399	—	2	1	no	—
316	#399	D₄	1	1	yes	characteristic
317	#398	—	2	1	no	—
318	#398	—	2	1	no	—
319	#398	—	2	1	no	—
320	#398	—	2	1	no	—
321	#398	D₄	1	1	yes	characteristic
322	#398	D₄	1	1	yes	characteristic
323	#397	—	2	1	no	—
324	#397	—	2	1	no	—
325	#396	—	2	1	no	—
326	#396	—	2	1	no	—
327	#396	—	2	1	no	—
328	#396	—	2	1	no	—
329	#396	—	2	1	no	—
330	#396	—	2	1	no	—
331	#396	—	2	1	no	—
332	#396	D₄	1	1	yes	characteristic
333	#396	D₄	1	1	yes	characteristic
334	#395	—	2	1	no	—
335	#395	D₄	1	1	yes	characteristic
336	#394	—	2	1	no	—
337	#394	—	2	1	no	—
338	#393	—	2	1	no	—
339	#393	—	2	1	no	—
340	#393	—	2	1	no	—
341	#393	—	2	1	no	—
342	#393	—	2	1	no	—
343	#393	—	2	1	no	—
344	#393	—	2	1	no	—
345	#393	—	2	1	no	—
346	#393	—	2	1	no	—
347	#393	D₄	1	1	yes	characteristic
348	#391	—	2	1	no	—
349	#391	—	2	1	no	—
350	#391	C₂³	1	1	yes	characteristic
351	#391	C₂³	1	1	yes	characteristic
352	#391	C₂³	1	1	yes	characteristic
353	#391	C₂³	1	1	yes	characteristic
354	#390	—	2	1	no	—
355	#390	C₂³	1	1	yes	characteristic
356	#390	C₂³	1	1	yes	characteristic
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	#390	C₂³	1	1	yes	characteristic
362	#390	C₂³	1	1	yes	characteristic
363	#389	—	2	1	no	—
364	#389	—	2	1	no	—
365	#389	—	2	1	no	—
366	#389	—	2	1	no	—
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	#388	—	2	1	no	—
376	#388	—	2	1	no	—
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	#387	—	2	1	no	—
386	#387	—	2	1	no	—
387	#387	—	2	1	no	—
388	#387	—	2	1	no	—
389	#387	—	2	1	no	—
390	#387	—	2	1	no	—
391	#387	—	2	1	no	—
392	#386	—	2	1	no	—
393	#386	—	2	1	no	—
394	#386	—	2	1	no	—
395	#386	—	2	1	no	—
396	#386	—	2	1	no	—
397	#385	—	2	1	no	—
398	#385	—	2	1	no	—
399	#385	—	2	1	no	—
400	#385	—	2	1	no	—
401	#385	—	2	1	no	—
402	#385	—	2	1	no	—
403	#385	—	2	1	no	—
404	#385	—	2	1	no	—
405	#385	—	2	1	no	—
406	#385	—	2	1	no	—
407	#385	—	2	1	no	—
408	#385	—	2	1	no	—
409	#385	—	2	1	no	—
410	#384	C₂³	1	1	yes	characteristic
411	#384	C₂³	1	1	yes	characteristic
412	#384	C₂³	1	1	yes	characteristic
413	#384	C₂³	1	1	yes	characteristic
414	#384	C₂³	1	1	yes	characteristic
415	#382	—	2	1	no	—
416	#382	C₂³	1	1	yes	characteristic
417	#382	C₂³	1	1	yes	characteristic
418	#382	C₂³	1	1	yes	characteristic
419	#380	—	2	1	no	—
420	#380	—	2	1	no	—
421	#380	—	2	1	no	—
422	#380	—	2	1	no	—
423	#380	—	2	1	no	—
424	#380	—	2	1	no	—
425	#380	C₂³	1	1	yes	characteristic
426	#380	C₂³	1	1	yes	characteristic
427	#379	—	2	1	no	—
428	#379	—	2	1	no	—
429	C₄×C₄⋊C₄	—	2	1	no	—
430	C₄×C₄⋊C₄	—	2	1	no	—
431	C₄×C₄⋊C₄	—	2	1	no	—
432	C₄×C₄⋊C₄	—	2	1	no	—
433	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	—	2	1	no	—
444	C₄×C₂²⋊C₄	—	2	1	no	—
445	C₄×C₂²⋊C₄	—	2	1	no	—
446	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×#95	—	2	1	no	—
449	C₂×#95	—	2	1	no	—
450	C₂×#95	—	2	1	no	—
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	#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	—	2	1	no	—
496	C₂²×Q₈	—	2	1	no	—
497	C₂²×Q₈	—	4	4	no	—
498	C₂²×Q₈	—	8	2	no	—
499	C₂²×Q₈	—	8	2	no	—
500	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
501	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	—	2	2	no	—
503	C₂²×D₄	—	2	2	no	—
504	C₂²×D₄	—	2	1	no	—
505	C₂²×D₄	—	2	1	no	—
506	C₂²×D₄	—	2	2	no	—
507	C₂²×D₄	—	4	1	no	—
508	C₂²×D₄	—	4	1	no	—
509	C₂²×D₄	#41	1	4	yes	—
510	C₂²×D₄	C₂⁴	1	1	yes	characteristic
511	C₂²×D₄	C₂⁴	1	1	yes	characteristic
512	C₂²×D₄	C₂⁴	1	1	yes	characteristic
513	C₂³×C₄	—	2	1	no	—
514	C₂³×C₄	—	2	1	no	—
515	C₂³×C₄	—	2	1	no	—
516	C₂³×C₄	—	2	1	no	—
517	C₂³×C₄	—	2	1	no	—
518	C₂³×C₄	—	2	1	no	—
519	C₂³×C₄	—	2	1	no	—
520	C₂³×C₄	—	2	1	no	—
521	C₂³×C₄	—	2	1	no	—
522	C₂³×C₄	—	2	1	no	—
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂×SD₁₆	—	2	2	no	—
525	C₂×SD₁₆	—	2	2	no	—
526	C₂×SD₁₆	—	2	2	no	—
527	C₂×SD₁₆	—	2	2	no	—
528	C₂×SD₁₆	—	4	1	no	—
529	C₂×SD₁₆	—	4	1	no	—
530	C₂×D₈	—	2	2	no	—
531	C₂×D₈	—	2	2	no	—
532	C₂×D₈	—	2	2	no	—
533	C₂×D₈	—	2	2	no	—
534	C₂×D₈	—	4	1	no	—
535	C₂×D₈	—	4	1	no	—
536	C₂×M₁₆	—	2	2	no	—
537	C₂×M₁₆	—	2	2	no	—
538	C₂×M₁₆	—	4	1	no	—
539	C₂²×C₈	—	2	2	no	—
540	C₂²×C₈	—	4	1	no	—
541	C₂²×C₈	—	4	1	no	—
542	C₂²×C₈	C₂⁴	1	1	yes	characteristic
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₂²×C₈	C₂⁴	1	1	yes	characteristic
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₄⋊Q₈	—	2	2	no	—
551	C₄⋊Q₈	—	2	2	no	—
552	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	—	4	1	no	—
555	C₄⋊Q₈	—	4	1	no	—
556	#126	—	8	2	no	—
557	#125	—	8	2	no	—
558	#124	—	2	2	no	—
559	#124	—	2	2	no	—
560	#123	—	8	2	no	—
561	#123	—	8	2	no	—
562	C₂²⋊Q₈	—	2	2	no	—
563	C₂²⋊Q₈	—	2	2	no	—
564	C₂²⋊Q₈	—	4	4	no	—
565	C₂²⋊Q₈	—	4	4	no	—
566	C₂²⋊Q₈	—	4	4	no	—
567	C₂²⋊Q₈	—	8	2	no	—
568	C₂²⋊Q₈	—	8	2	no	—
569	#121	—	2	2	no	—
570	#121	—	2	2	no	—
571	C₄×Q₈	—	2	2	no	—
572	C₄×Q₈	—	2	2	no	—
573	C₄×Q₈	—	2	2	no	—
574	C₄×Q₈	—	4	1	no	—
575	C₄×Q₈	—	8	2	no	—
576	C₄×D₄	—	2	2	no	—
577	C₄×D₄	—	2	2	no	—
578	C₄×D₄	—	2	2	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	—	2	2	no	—
584	C₄×D₄	—	2	2	no	—
585	C₄×D₄	—	2	2	no	—
586	C₄×D₄	—	4	1	no	—
587	C₄×D₄	—	4	1	no	—
588	C₄×D₄	—	4	1	no	—
589	C₄×D₄	—	4	1	no	—
590	C₄×D₄	—	4	1	no	—
591	C₄×D₄	—	4	1	no	—
592	C₄×D₄	—	4	1	no	—
593	C₄×D₄	—	4	4	no	—
594	C₄×D₄	—	4	4	no	—
595	C₄×D₄	#41	1	4	yes	—
596	#117	—	2	2	no	—
597	#117	—	2	2	no	—
598	#117	—	2	2	no	—
599	#117	—	2	2	no	—
600	#117	—	4	1	no	—
601	#117	—	4	1	no	—
602	#117	—	8	2	no	—
603	C₂×C₄⋊C₄	—	2	2	no	—
604	C₂×C₄⋊C₄	—	2	2	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	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
675	C₂×C₂²⋊C₄	—	2	1	no	—
676	C₂×C₂²⋊C₄	—	2	1	no	—
677	C₂×C₂²⋊C₄	—	2	1	no	—
678	C₂×C₂²⋊C₄	—	2	1	no	—
679	C₂×C₂²⋊C₄	—	2	1	no	—
680	C₂×C₂²⋊C₄	—	2	1	no	—
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	1	no	—
683	C₂×C₂²⋊C₄	—	2	1	no	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	4	4	no	—
686	C₂×C₂²⋊C₄	—	4	4	no	—
687	C₂×C₂²⋊C₄	—	8	2	no	—
688	C₂×C₂²⋊C₄	—	8	2	no	—
689	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₂×C₄²	—	2	1	no	—
696	C₂×C₄²	—	2	1	no	—
697	C₂×C₄²	—	2	1	no	—
698	C₂×C₄²	—	2	1	no	—
699	C₂×C₄²	—	2	1	no	—
700	C₂×C₄²	—	2	1	no	—
701	C₂×C₄²	—	2	1	no	—
702	C₂×C₄²	—	2	1	no	—
703	C₂×C₄²	—	2	1	no	—
704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
705	C₂×C₄²	C₂⁴	1	1	yes	characteristic
706	C₂×C₄²	C₂⁴	1	1	yes	characteristic
707	C₂×C₄²	C₂⁴	1	1	yes	characteristic
708	C₂×C₄²	C₂⁴	1	1	yes	characteristic
709	C₂×C₄²	C₂⁴	1	1	yes	characteristic
710	#107	—	2	2	no	—
711	#107	—	4	1	no	—
712	#106	—	2	2	no	—
713	#106	—	4	1	no	—
714	C₄⋊C₈	—	2	2	no	—
715	C₄⋊C₈	—	2	2	no	—
716	C₄⋊C₈	—	4	1	no	—
717	C₄⋊C₈	—	4	1	no	—
718	C₄⋊C₈	—	4	1	no	—
719	C₄⋊C₈	—	4	1	no	—
720	#103	—	2	2	no	—
721	#103	—	2	2	no	—
722	#103	—	4	1	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#103	—	4	1	no	—
726	#102	—	2	2	no	—
727	#102	—	2	2	no	—
728	#102	—	2	2	no	—
729	#102	—	2	2	no	—
730	#102	—	2	2	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	—	2	2	no	—
737	#102	—	2	2	no	—
738	#102	—	2	2	no	—
739	#102	—	4	1	no	—
740	#102	—	4	1	no	—
741	#102	—	4	1	no	—
742	#102	—	4	1	no	—
743	#102	#41	1	4	yes	—
744	C₂²⋊C₈	—	2	2	no	—
745	C₂²⋊C₈	—	2	2	no	—
746	#97	—	2	2	no	—
747	#97	—	2	2	no	—
748	#97	—	2	2	no	—
749	#97	—	4	1	no	—
750	C₄×C₈	—	2	2	no	—
751	C₄×C₈	—	4	1	no	—
752	C₄×C₈	—	4	1	no	—
753	C₄×C₈	—	4	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	—	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	C₂×D₄	1	1	yes	characteristic
785	#95	C₂×D₄	1	1	yes	characteristic
786	#95	C₂×D₄	1	1	yes	characteristic
787	#95	C₂×D₄	1	1	yes	characteristic
788	#95	C₂×D₄	1	1	yes	characteristic
789	#95	C₂×D₄	1	1	yes	characteristic
790	#95	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	—	2	1	no	—
795	C₂⁴	—	2	1	no	—
796	C₂⁴	—	2	4	no	—
797	C₂⁴	—	2	1	no	—
798	C₂⁴	—	4	2	no	—
799	C₂⁴	—	4	2	no	—
800	C₂⁴	—	8	1	no	—
801	C₂⁴	—	8	1	no	—
802	C₂⁴	—	8	1	no	—
803	C₂⁴	—	8	1	no	—
804	C₂⁴	C₂²×D₄	1	1	yes	characteristic
805	C₂×Q₈	—	2	2	no	—
806	C₂×Q₈	—	2	2	no	—
807	C₂×Q₈	—	2	2	no	—
808	C₂×Q₈	—	2	1	no	—
809	C₂×Q₈	—	2	1	no	—
810	C₂×Q₈	—	2	1	no	—
811	C₂×Q₈	—	2	1	no	—
812	C₂×Q₈	—	2	1	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	4	2	no	—
815	C₂×Q₈	—	4	2	no	—
816	C₂×Q₈	—	4	2	no	—
817	C₂×Q₈	—	4	2	no	—
818	C₂×Q₈	—	4	2	no	—
819	C₂×Q₈	—	8	1	no	—
820	C₂×Q₈	—	8	1	no	—
821	C₂×Q₈	—	8	1	no	—
822	C₂×Q₈	—	8	1	no	—
823	C₂×Q₈	—	8	16	no	—
824	C₂×D₄	—	2	8	no	—
825	C₂×D₄	—	2	4	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	1	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	—	2	1	no	—
839	C₂×D₄	—	2	1	no	—
840	C₂×D₄	—	4	4	no	—
841	C₂×D₄	—	4	4	no	—
842	C₂×D₄	—	4	4	no	—
843	C₂×D₄	—	4	2	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	4	2	no	—
846	C₂×D₄	—	8	1	no	—
847	C₂×D₄	—	8	1	no	—
848	C₂×D₄	C₂×#41	1	2	yes	—
849	C₂×D₄	C₂×#41	1	2	yes	—
850	C₂×D₄	C₂×#41	1	2	yes	—
851	C₂×D₄	C₂×#41	1	2	yes	—
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	4	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	1	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	—	4	2	no	—
871	C₂²×C₄	—	4	2	no	—
872	C₂²×C₄	—	4	2	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	2	no	—
876	C₂²×C₄	—	4	2	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	—	4	2	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	—	8	1	no	—
883	C₂²×C₄	—	8	1	no	—
884	C₂²×C₄	—	8	1	no	—
885	C₂²×C₄	—	8	1	no	—
886	C₂²×C₄	—	8	1	no	—
887	C₂²×C₄	—	8	1	no	—
888	C₂²×C₄	—	8	1	no	—
889	C₂²×C₄	—	8	1	no	—
890	C₂²×C₄	—	8	1	no	—
891	C₂²×C₄	—	8	1	no	—
892	C₂²×C₄	—	8	1	no	—
893	C₂²×C₄	—	8	1	no	—
894	C₂²×C₄	—	8	1	no	—
895	C₂²×C₄	—	8	1	no	—
896	C₂²×C₄	—	8	1	no	—
897	C₂²×C₄	—	8	1	no	—
898	C₂²×C₄	—	8	1	no	—
899	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
900	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
901	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
902	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
903	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
904	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
905	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂×#41	1	2	yes	—
913	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
914	C₂²×C₄	C₂⁵	1	1	yes	characteristic
915	SD₁₆	—	4	4	no	—
916	SD₁₆	—	8	2	no	—
917	D₈	—	4	4	no	—
918	D₈	—	8	2	no	—
919	M₁₆	—	4	4	no	—
920	C₂×C₈	—	2	1	no	—
921	C₂×C₈	—	2	1	no	—
922	C₂×C₈	—	2	1	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	—	4	4	no	—
944	C₂×C₈	C₂×#41	1	2	yes	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	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	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	4	1	no	—
975	C₄⋊C₄	—	4	1	no	—
976	C₄⋊C₄	—	4	1	no	—
977	C₄⋊C₄	—	4	1	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	C₂×#41	1	2	yes	—
1003	C₄⋊C₄	C₂×#41	1	2	yes	—
1004	C₂²⋊C₄	—	2	4	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	4	1	no	—
1011	C₂²⋊C₄	—	4	2	no	—
1012	C₂²⋊C₄	—	4	2	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	—	8	1	no	—
1031	C₂²⋊C₄	—	8	1	no	—
1032	C₂²⋊C₄	—	8	1	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	C₂²⋊C₄	—	8	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	—	2	1	no	—
1053	C₄²	—	4	2	no	—
1054	C₄²	—	4	2	no	—
1055	C₄²	—	4	2	no	—
1056	C₄²	—	4	2	no	—
1057	C₄²	—	8	1	no	—
1058	C₄²	—	8	1	no	—
1059	C₄²	—	8	1	no	—
1060	C₄²	—	8	1	no	—
1061	C₄²	—	8	1	no	—
1062	C₄²	C₂×#41	1	2	yes	—
1063	C₄²	H(5,𝔽₂)	1	2	yes	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	2	no	—
1068	C₂³	—	2	2	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	2	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	2	no	—
1074	C₂³	—	4	8	no	—
1075	C₂³	—	4	1	no	—
1076	C₂³	—	4	1	no	—
1077	C₂³	—	4	1	no	—
1078	C₂³	—	4	1	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	—	4	1	no	—
1092	C₂³	—	8	4	no	—
1093	C₂³	—	8	4	no	—
1094	C₂³	—	16	2	no	—
1095	C₂³	—	16	2	no	—
1096	C₂³	—	16	2	no	—
1097	C₂³	—	16	2	no	—
1098	C₂³	#548	1	2	yes	—
1099	C₂³	C₂³×D₄	1	1	yes	characteristic
1100	Q₈	—	2	8	no	—
1101	Q₈	—	4	1	no	—
1102	Q₈	—	4	1	no	—
1103	Q₈	—	4	1	no	—
1104	Q₈	—	4	1	no	—
1105	Q₈	—	8	4	no	—
1106	Q₈	—	8	4	no	—
1107	Q₈	—	8	4	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	4	8	no	—
1114	D₄	—	4	1	no	—
1115	D₄	—	4	1	no	—
1116	D₄	—	4	1	no	—
1117	D₄	—	4	1	no	—
1118	D₄	—	4	1	no	—
1119	D₄	—	4	1	no	—
1120	D₄	—	16	2	no	—
1121	D₄	#529	1	4	yes	—
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	2	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	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	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	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	2	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	2	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	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	—	8	4	no	—
1200	C₂×C₄	—	8	4	no	—
1201	C₂×C₄	—	8	4	no	—
1202	C₂×C₄	—	8	4	no	—
1203	C₂×C₄	—	16	2	no	—
1204	C₂×C₄	—	16	2	no	—
1205	C₂×C₄	—	16	2	no	—
1206	C₂×C₄	—	16	2	no	—
1207	C₂×C₄	—	16	2	no	—
1208	C₂×C₄	—	16	2	no	—
1209	C₂×C₄	#546	1	2	yes	—
1210	C₂×C₄	#546	1	2	yes	—
1211	C₂×C₄	#548	1	2	yes	—
1212	C₂×C₄	#576	1	2	yes	—
1213	C₂×C₄	#577	1	2	yes	—
1214	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1215	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1216	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1217	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1218	C₂×C₄	C₂×2₋¹⁺⁴	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	4	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	—	4	2	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	8	1	no	—
1246	C₂²	—	8	1	no	—
1247	C₂²	—	8	1	no	—
1248	C₂²	—	8	1	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	—	16	8	no	—
1257	C₂²	C₂×#546	1	1	yes	characteristic
1258	C₂²	C₂×#548	1	1	yes	characteristic
1259	C₂²	D₄×#41	1	1	yes	characteristic
1260	C₂²	C₂×#576	1	1	yes	characteristic
1261	C₂²	C₂×#577	1	1	yes	characteristic
1262	C₂²	#3585	1	1	yes	characteristic
1263	C₂²	#3586	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	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	2	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	C₂×#529	1	1	yes	characteristic
1291	C₄	#3495	1	1	yes	characteristic
1292	C₄	#3505	1	1	yes	characteristic
1293	C₄	#3520	1	1	yes	characteristic
1294	C₂	—	4	2	no	—
1295	C₂	—	4	4	no	—
1296	C₂	—	8	2	no	—
1297	C₂	—	16	1	no	—
1298	C₂	#36108	1	1	yes	characteristic
1299	C₂	#61167	1	1	yes	characteristic
1300	C₂	#61222	1	1	yes	characteristic
1301	C₂	#61339	1	1	yes	characteristic
1302	C₂	#61340	1	1	yes	characteristic
1303	C₂	#61553	1	1	yes	characteristic
1304	C₂	#61554	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 ◁ #2396 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #35745	C₂	semidirect
2. #35702	C₂	semidirect
3. #33159	C₂	semidirect
4. #33054	C₂	semidirect
6. #29099	C₂	semidirect
7. #29095	C₂	semidirect
8. #27735	C₂	semidirect
9. #27721	C₂	semidirect
10. #27719	C₂	semidirect
11. #27565	C₂	semidirect
12. #27563	C₂	semidirect
13. #27426	C₂	semidirect
14. #27422	C₂	semidirect
15. #26413	C₂	semidirect
16. #26409	C₂	semidirect
17. #26124	C₂	semidirect
18. #25939	C₂	semidirect
19. #25335	C₂	semidirect
20. #25296	C₂	semidirect
21. #25002	C₂	semidirect
22. #24530	C₂	semidirect
24. #23005	C₂	semidirect
26. #22864	C₂	semidirect
27. #22780	C₂	semidirect
28. #22776	C₂	semidirect
29. Q₈×#102	C₂	semidirect
30. #21602	C₂	semidirect
31. #20416	C₂	semidirect
34. C₂×#489	C₂²	semidirect
39. C₂×C₈×Q₈	C₂²	semidirect
49. #2592	C₂²	semidirect
55. #2552	C₂²	semidirect
58. #2512	C₂²	semidirect
59. #2511	C₂²	semidirect
76. #2367	C₂²	semidirect
79. #2355	C₂²	semidirect
80. #2354	C₂²	semidirect
81. Q₈×C₄⋊C₄	C₂²	semidirect
88. #2101	C₂²	semidirect
89. #2101	C₂²	semidirect
90. #2100	C₂²	semidirect
91. #2100	C₂²	semidirect
92. #2099	C₂²	semidirect
93. #2099	C₂²	semidirect
94. #2088	C₂²	semidirect
95. #2087	C₂²	semidirect
96. #2074	C₂²	semidirect
97. #2073	C₂²	semidirect
102. #2068	C₂²	semidirect
103. #2065	C₂²	semidirect
108. #2024	C₂²	semidirect
109. #2024	C₂²	semidirect
110. #2023	C₂²	semidirect
111. #2023	C₂²	semidirect
112. #1990	C₂²	semidirect
113. #1990	C₂²	semidirect
114. #1990	C₂²	semidirect
115. #1988	C₂²	semidirect
116. #1988	C₂²	semidirect
117. #1988	C₂²	semidirect
118. #1987	C₂²	semidirect
119. #1985	C₂²	semidirect
122. #1958	C₂²	semidirect
123. #1949	C₂²	semidirect
124. #1949	C₂²	semidirect
125. #1940	C₂²	semidirect
128. #1936	C₂²	semidirect
129. #1936	C₂²	semidirect
130. #1935	C₂²	semidirect
131. #1935	C₂²	semidirect
132. #1934	C₂²	semidirect
133. #1934	C₂²	semidirect
134. #1933	C₂²	semidirect
135. #1933	C₂²	semidirect
138. #1921	C₂²	semidirect
139. #1921	C₂²	semidirect
140. #1920	C₂²	semidirect
141. #1920	C₂²	semidirect
142. #1919	C₂²	semidirect
143. #1918	C₂²	semidirect
144. #1916	C₂²	semidirect
145. #1916	C₂²	semidirect
164. #1865	C₂²	semidirect
167. #1862	C₂²	semidirect
172. #1836	C₂²	semidirect
173. #1836	C₂²	semidirect
174. #1836	C₂²	semidirect
177. #1805	C₂²	semidirect
178. #1804	C₂²	semidirect
186. #1771	C₂²	semidirect
187. #1771	C₂²	semidirect
188. #1770	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#35745	2
#35702	2
#33159	2
#33054	2
#32917	2
#29099	2
#29095	2
#27735	2
#27721	2
#27719	2
#27565	2
#27563	2
#27426	2
#27422	2
#26413	2
#26409	2
#26124	2
#25939	2
#25335	2
#25296	2
#25002	2
#24530	2
#24526	2
#23005	2
#22868	2
#22864	2
#22780	2
#22776	2
Q₈×#102	2
#21602	2
#20416	2