Subgroups — #6696772

Order 512.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1315 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#40055	C₂	1	1	yes	maximal, characteristic, complemented
2	#36155	C₂	1	1	yes	maximal, characteristic
3	#32956	C₂	1	1	yes	maximal, characteristic, complemented
4	#32290	C₂	1	1	yes	maximal, characteristic, complemented
5	#32275	C₂	1	1	yes	maximal, characteristic, complemented
6	#32068	C₂	1	1	yes	maximal, characteristic, complemented
7	#31906	C₂	1	1	yes	maximal, characteristic, complemented
8	#31772	C₂	1	1	yes	maximal, characteristic, complemented
9	#31376	C₂	1	1	yes	maximal, characteristic, complemented
10	#30817	C₂	1	1	yes	maximal, characteristic, complemented
11	#30685	C₂	1	1	yes	maximal, characteristic, complemented
12	#30366	C₂	1	1	yes	maximal, characteristic, complemented
13	#30013	C₂	1	1	yes	maximal, characteristic, complemented
14	#27565	C₂	1	1	yes	maximal, characteristic, complemented
15	#27536	C₂	1	1	yes	maximal, characteristic, complemented
16	#27248	C₂	1	1	yes	maximal, characteristic, complemented
17	#27224	C₂	1	1	yes	maximal, characteristic, complemented
18	#27174	C₂	1	1	yes	maximal, characteristic, complemented
19	#26833	C₂	1	1	yes	maximal, characteristic, complemented
20	#26704	C₂	1	1	yes	maximal, characteristic, complemented
21	#26386	C₂	1	1	yes	maximal, characteristic, complemented
22	#26051	C₂	1	1	yes	maximal, characteristic, complemented
23	#25978	C₂	1	1	yes	maximal, characteristic, complemented
24	#25890	C₂	1	1	yes	maximal, characteristic
25	#25044	C₂	1	1	yes	maximal, characteristic, complemented
26	#24923	C₂	1	1	yes	maximal, characteristic, complemented
27	#24452	C₂	1	1	yes	maximal, characteristic
28	#22975	C₂	1	1	yes	maximal, characteristic, complemented
29	#22582	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×#546	C₂²	1	1	yes	characteristic
33	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂×#488	C₂²	1	1	yes	characteristic
35	C₂×#478	C₂²	1	1	yes	characteristic
36	C₂×#476	C₂²	1	1	yes	characteristic
37	C₂×#476	C₂²	1	1	yes	characteristic
38	C₂×#476	C₂²	1	1	yes	characteristic
39	C₂×#468	C₂²	1	1	yes	characteristic
40	C₂×#452	C₂²	1	1	yes	characteristic
41	C₂×#450	C₂²	1	1	yes	characteristic
42	C₂×#440	C₂²	1	1	yes	characteristic
43	C₂×#440	C₂²	1	1	yes	characteristic
44	C₂×#417	C₂²	1	1	yes	characteristic
45	#2857	C₂²	1	1	yes	characteristic
46	#2855	C₂²	1	1	yes	characteristic
47	#2849	—	2	1	no	—
48	#2799	—	2	1	no	—
49	#2745	—	2	1	no	—
50	#2739	—	2	1	no	—
51	#2687	—	2	1	no	—
52	#2655	—	2	1	no	—
53	#2562	C₂²	1	1	yes	characteristic
54	#2550	C₂²	1	1	yes	characteristic, complemented
55	#2511	C₂²	1	1	yes	characteristic, complemented
56	#2503	C₂²	1	1	yes	characteristic
57	#2494	C₂²	1	1	yes	characteristic
58	#2492	C₂²	1	1	yes	characteristic
59	#2492	C₂²	1	1	yes	characteristic, complemented
60	#2486	C₂²	1	1	yes	characteristic
61	#2483	—	2	1	no	—
62	#2477	—	2	1	no	—
63	#2465	—	2	1	no	—
64	#2453	C₂²	1	1	yes	characteristic, complemented
65	#2447	C₂²	1	1	yes	characteristic
66	#2447	C₂²	1	1	yes	characteristic
67	#2444	—	2	1	no	—
68	#2444	—	2	1	no	—
69	#2440	C₂²	1	1	yes	characteristic, complemented
70	#2421	C₂²	1	1	yes	characteristic, complemented
71	#2420	C₂²	1	1	yes	characteristic
72	#2420	C₂²	1	1	yes	characteristic
73	#2419	—	2	1	no	—
74	#2419	—	2	1	no	—
75	#2417	C₂²	1	1	yes	characteristic
76	#2412	—	2	1	no	—
77	#2365	C₂²	1	1	yes	characteristic, complemented
78	#2349	C₂²	1	1	yes	characteristic
79	#2349	C₂²	1	1	yes	characteristic
80	#2344	C₂²	1	1	yes	characteristic, complemented
81	#2339	C₂²	1	1	yes	characteristic
82	#2339	C₂²	1	1	yes	characteristic
83	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
84	#2323	—	2	1	no	—
85	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
86	C₄×#123	C₂²	1	1	yes	characteristic
87	C₂×#381	—	2	1	no	—
88	#2101	C₂²	1	1	yes	characteristic, complemented
89	#2099	C₂²	1	1	yes	characteristic, complemented
90	#2097	C₂²	1	1	yes	characteristic, complemented
91	#2097	C₂²	1	1	yes	characteristic, complemented
92	#2096	C₂²	1	1	yes	characteristic, complemented
93	#2088	C₂²	1	1	yes	characteristic, complemented
94	#2088	C₂²	1	1	yes	characteristic, complemented
95	#2085	C₂²	1	1	yes	characteristic, complemented
96	#2077	C₂²	1	1	yes	characteristic
97	#2077	C₂²	1	1	yes	characteristic
98	#2077	C₂²	1	1	yes	characteristic, complemented
99	#2076	C₂²	1	1	yes	characteristic, complemented
100	#2075	C₂²	1	1	yes	characteristic
101	#2074	C₂²	1	1	yes	characteristic, complemented
102	#2073	C₂²	1	1	yes	characteristic
103	#2068	C₂²	1	1	yes	characteristic, complemented
104	#2068	C₂²	1	1	yes	characteristic, complemented
105	#2066	C₂²	1	1	yes	characteristic, complemented
106	#2066	C₂²	1	1	yes	characteristic, complemented
107	#2065	C₂²	1	1	yes	characteristic
108	#2059	C₂²	1	1	yes	characteristic, complemented
109	#2059	C₂²	1	1	yes	characteristic, complemented
110	#2057	C₂²	1	1	yes	characteristic, complemented
111	#2056	C₂²	1	1	yes	characteristic, complemented
112	#2056	C₂²	1	1	yes	characteristic, complemented
113	#2055	C₂²	1	1	yes	characteristic
114	#2042	C₂²	1	1	yes	characteristic
115	#2036	C₂²	1	1	yes	characteristic
116	#2036	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, complemented
120	#2035	C₂²	1	1	yes	characteristic, complemented
121	#2034	C₂²	1	1	yes	characteristic
122	#2033	C₂²	1	1	yes	characteristic
123	#2024	C₂²	1	1	yes	characteristic, complemented
124	#2024	C₂²	1	1	yes	characteristic, complemented
125	#2023	C₂²	1	1	yes	characteristic
126	#2015	C₂²	1	1	yes	characteristic
127	#2001	C₂²	1	1	yes	characteristic
128	#1993	C₂²	1	1	yes	characteristic, complemented
129	#1983	C₂²	1	1	yes	characteristic
130	#1971	C₂²	1	1	yes	characteristic, complemented
131	#1968	C₂²	1	1	yes	characteristic
132	#1954	C₂²	1	1	yes	characteristic
133	#1949	C₂²	1	1	yes	characteristic, complemented
134	#1949	C₂²	1	1	yes	characteristic, complemented
135	#1944	C₂²	1	1	yes	characteristic, complemented
136	#1944	C₂²	1	1	yes	characteristic, complemented
137	#1941	C₂²	1	1	yes	characteristic, complemented
138	#1939	C₂²	1	1	yes	characteristic, complemented
139	#1936	C₂²	1	1	yes	characteristic
140	#1935	C₂²	1	1	yes	characteristic, complemented
141	#1935	C₂²	1	1	yes	characteristic, complemented
142	#1933	C₂²	1	1	yes	characteristic, complemented
143	#1933	C₂²	1	1	yes	characteristic, complemented
144	#1928	C₂²	1	1	yes	characteristic, complemented
145	#1927	C₂²	1	1	yes	characteristic, complemented
146	#1927	C₂²	1	1	yes	characteristic, complemented
147	#1926	C₂²	1	1	yes	characteristic
148	#1925	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	#1920	C₂²	1	1	yes	characteristic, complemented
155	#1919	C₂²	1	1	yes	characteristic, complemented
156	#1917	C₂²	1	1	yes	characteristic, complemented
157	#1916	C₂²	1	1	yes	characteristic, complemented
158	#1878	C₂²	1	1	yes	characteristic, complemented
159	#1877	C₂²	1	1	yes	characteristic
160	#1877	C₂²	1	1	yes	characteristic
161	#1877	C₂²	1	1	yes	characteristic
162	#1877	C₂²	1	1	yes	characteristic
163	#1877	C₂²	1	1	yes	characteristic
164	#1874	C₂²	1	1	yes	characteristic
165	#1872	C₂²	1	1	yes	characteristic
166	#1870	C₂²	1	1	yes	characteristic
167	#1865	C₂²	1	1	yes	characteristic, complemented
168	#1864	C₂²	1	1	yes	characteristic
169	#1864	C₂²	1	1	yes	characteristic
170	#1864	C₂²	1	1	yes	characteristic
171	#1864	C₂²	1	1	yes	characteristic
172	#1864	C₂²	1	1	yes	characteristic
173	#1862	C₂²	1	1	yes	characteristic
174	#1862	C₂²	1	1	yes	characteristic
175	#1862	C₂²	1	1	yes	characteristic
176	#1862	C₂²	1	1	yes	characteristic
177	#1853	C₂²	1	1	yes	characteristic
178	#1853	C₂²	1	1	yes	characteristic
179	#1853	C₂²	1	1	yes	characteristic, complemented
180	#1852	C₂²	1	1	yes	characteristic
181	#1851	C₂²	1	1	yes	characteristic, complemented
182	#1846	C₂²	1	1	yes	characteristic, complemented
183	#1824	C₂²	1	1	yes	characteristic, complemented
184	#1809	C₂²	1	1	yes	characteristic, complemented
185	#1809	C₂²	1	1	yes	characteristic, complemented
186	#1804	C₂²	1	1	yes	characteristic
187	#1802	C₂²	1	1	yes	characteristic
188	#1802	C₂²	1	1	yes	characteristic
189	#1797	C₂²	1	1	yes	characteristic
190	#1788	C₂²	1	1	yes	characteristic
191	#1788	C₂²	1	1	yes	characteristic
192	#1786	C₂²	1	1	yes	characteristic
193	#1786	C₂²	1	1	yes	characteristic
194	#1786	C₂²	1	1	yes	characteristic
195	#1771	C₂²	1	1	yes	characteristic, complemented
196	#1762	C₂²	1	1	yes	characteristic
197	#1762	C₂²	1	1	yes	characteristic
198	#1762	C₂²	1	1	yes	characteristic
199	C₄×#102	C₂²	1	1	yes	characteristic
200	C₄×#102	C₂²	1	1	yes	characteristic
201	#1753	C₂²	1	1	yes	characteristic, complemented
202	#1749	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂³×D₄	C₂³	1	1	yes	characteristic
205	C₂⁴×C₄	—	2	1	no	—
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
208	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	#546	—	4	2	no	—
211	#546	—	4	2	no	—
212	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₂×#125	C₂³	1	1	yes	characteristic
215	C₂×#124	C₂³	1	1	yes	characteristic
216	C₂×#123	—	2	1	no	—
217	C₂×#123	—	2	1	no	—
218	C₂×#123	D₄	1	1	yes	characteristic
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₂²⋊Q₈	—	2	1	no	—
221	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×#121	—	2	1	no	—
225	C₂×#121	C₂³	1	1	yes	characteristic
226	C₂×#120	—	2	1	no	—
227	C₂×C₄×Q₈	—	2	1	no	—
228	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	—	2	1	no	—
230	C₂×C₄×D₄	—	2	1	no	—
231	C₂×C₄×D₄	—	4	2	no	—
232	C₂×C₄×D₄	—	4	2	no	—
233	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
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×#117	—	2	1	no	—
242	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊C₄	—	2	1	no	—
245	C₂²×C₂²⋊C₄	—	2	1	no	—
246	C₂²×C₂²⋊C₄	—	2	1	no	—
247	C₂²×C₄²	C₂³	1	1	yes	characteristic
248	#488	—	4	2	no	—
249	#478	—	4	2	no	—
250	#476	—	2	4	no	—
251	#476	—	4	2	no	—
252	#476	—	4	2	no	—
253	#468	—	4	2	no	—
254	#452	—	4	2	no	—
255	#450	—	2	4	no	—
256	#440	—	4	2	no	—
257	#440	—	4	2	no	—
258	C₂×#107	C₂³	1	1	yes	characteristic
259	C₂×#107	C₂³	1	1	yes	characteristic
260	C₂×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
266	C₂×#106	C₂³	1	1	yes	characteristic
267	C₂×#106	C₂³	1	1	yes	characteristic
268	C₂×#106	C₂³	1	1	yes	characteristic
269	C₂×#106	C₂³	1	1	yes	characteristic
270	C₂×#106	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	#417	—	2	4	no	—
277	C₂×#103	C₂³	1	1	yes	characteristic
278	C₂×#103	C₂³	1	1	yes	characteristic
279	C₂×#103	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	C₂³	1	1	yes	characteristic
283	C₂×#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×#102	C₂³	1	1	yes	characteristic
290	C₂×#102	C₂³	1	1	yes	characteristic
291	C₂×#102	C₂³	1	1	yes	characteristic
292	C₂×#102	C₂³	1	1	yes	characteristic
293	C₂×#102	C₂³	1	1	yes	characteristic
294	C₂×#102	C₂³	1	1	yes	characteristic
295	C₂×#102	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#102	C₂³	1	1	yes	characteristic
298	C₂×#102	C₂³	1	1	yes	characteristic
299	C₂×#102	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂³	1	1	yes	characteristic
301	C₂×#102	C₂³	1	1	yes	characteristic
302	C₂×#102	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	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×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
314	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
315	#401	—	2	1	no	—
316	#400	—	2	1	no	—
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	#400	—	2	1	no	—
323	#400	—	2	1	no	—
324	#400	—	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	#397	—	2	1	no	—
331	#397	—	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	#397	—	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	#393	—	2	1	no	—
346	#393	—	2	1	no	—
347	#391	—	2	1	no	—
348	#391	—	2	1	no	—
349	#391	—	2	1	no	—
350	#391	—	2	1	no	—
351	#391	—	2	1	no	—
352	#391	C₂³	1	1	yes	characteristic
353	#391	C₂³	1	1	yes	characteristic
354	#391	C₂³	1	1	yes	characteristic
355	#391	C₂³	1	1	yes	characteristic
356	#391	C₂³	1	1	yes	characteristic
357	#391	C₂³	1	1	yes	characteristic
358	#391	C₂³	1	1	yes	characteristic
359	#391	C₂³	1	1	yes	characteristic
360	#390	C₂³	1	1	yes	characteristic
361	#390	C₂³	1	1	yes	characteristic
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	#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	D₄	1	1	yes	characteristic
382	#388	D₄	1	1	yes	characteristic
383	#387	—	2	1	no	—
384	#387	—	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	#387	—	2	1	no	—
393	#387	—	2	1	no	—
394	#387	—	2	1	no	—
395	#387	D₄	1	1	yes	characteristic
396	#387	D₄	1	1	yes	characteristic
397	#386	—	2	1	no	—
398	#386	—	2	1	no	—
399	#386	—	2	1	no	—
400	#386	—	2	1	no	—
401	#386	—	2	1	no	—
402	#386	—	2	1	no	—
403	#386	—	2	1	no	—
404	#386	—	2	1	no	—
405	#386	—	2	1	no	—
406	#386	D₄	1	1	yes	characteristic
407	#385	—	2	1	no	—
408	#385	—	2	1	no	—
409	#385	—	2	1	no	—
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	D₄	1	1	yes	characteristic
417	#384	C₂³	1	1	yes	characteristic
418	#382	C₂³	1	1	yes	characteristic
419	#382	C₂³	1	1	yes	characteristic
420	#382	C₂³	1	1	yes	characteristic
421	#381	—	2	1	no	—
422	#381	—	2	1	no	—
423	#381	—	2	1	no	—
424	#381	—	2	1	no	—
425	#381	—	2	1	no	—
426	#381	—	2	1	no	—
427	#381	—	2	1	no	—
428	#381	—	2	1	no	—
429	#381	—	2	1	no	—
430	#381	—	2	1	no	—
431	#381	—	2	1	no	—
432	#381	D₄	1	1	yes	characteristic
433	#380	—	2	1	no	—
434	#380	—	2	1	no	—
435	#380	—	2	1	no	—
436	#380	—	2	1	no	—
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	#380	C₂³	1	1	yes	characteristic
442	#380	C₂³	1	1	yes	characteristic
443	#380	C₂³	1	1	yes	characteristic
444	#380	C₂³	1	1	yes	characteristic
445	#379	—	2	1	no	—
446	C₄×C₄⋊C₄	—	2	1	no	—
447	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₂²⋊C₄	—	2	1	no	—
454	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×#95	—	2	1	no	—
458	C₂×#95	—	2	1	no	—
459	C₂×#95	—	2	1	no	—
460	C₂×#95	—	2	1	no	—
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	C₂×#41	—	2	2	no	—
495	C₂×#41	—	2	2	no	—
496	C₂×#41	—	2	2	no	—
497	C₂×#41	—	4	1	no	—
498	C₂×#41	—	4	1	no	—
499	C₂×#41	—	4	1	no	—
500	C₂²×Q₈	—	2	1	no	—
501	C₂²×Q₈	—	2	1	no	—
502	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
503	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
504	C₂²×D₄	—	2	2	no	—
505	C₂²×D₄	—	2	2	no	—
506	C₂²×D₄	—	2	2	no	—
507	C₂²×D₄	—	2	2	no	—
508	C₂²×D₄	—	2	1	no	—
509	C₂²×D₄	—	2	1	no	—
510	C₂²×D₄	—	2	1	no	—
511	C₂²×D₄	—	4	1	no	—
512	C₂²×D₄	—	4	1	no	—
513	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
514	C₂²×D₄	C₂⁴	1	1	yes	characteristic
515	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
524	C₂³×C₄	—	2	1	no	—
525	C₂³×C₄	—	2	1	no	—
526	C₂³×C₄	—	4	4	no	—
527	C₂³×C₄	—	4	4	no	—
528	C₂³×C₄	—	8	2	no	—
529	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
530	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
531	C₂³×C₄	C₂⁴	1	1	yes	characteristic
532	C₂³×C₄	C₂⁴	1	1	yes	characteristic
533	C₂×Q₁₆	—	4	1	no	—
534	C₂×Q₁₆	—	4	1	no	—
535	C₂×Q₁₆	—	4	1	no	—
536	C₂×SD₁₆	—	2	2	no	—
537	C₂×SD₁₆	—	2	2	no	—
538	C₂×SD₁₆	—	2	2	no	—
539	C₂×SD₁₆	—	2	2	no	—
540	C₂×SD₁₆	—	2	2	no	—
541	C₂×SD₁₆	—	4	1	no	—
542	C₂×M₁₆	—	2	2	no	—
543	C₂×M₁₆	—	4	1	no	—
544	C₂×M₁₆	—	4	1	no	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	—	4	1	no	—
555	C₄⋊Q₈	—	4	1	no	—
556	C₄⋊Q₈	—	4	1	no	—
557	#125	—	4	1	no	—
558	#125	—	4	1	no	—
559	#124	—	2	2	no	—
560	#124	—	4	1	no	—
561	#123	—	4	2	no	—
562	#123	—	4	4	no	—
563	#123	—	8	2	no	—
564	C₂²⋊Q₈	—	2	2	no	—
565	C₂²⋊Q₈	—	4	4	no	—
566	C₂²⋊Q₈	—	4	1	no	—
567	C₂²⋊Q₈	—	4	1	no	—
568	C₂²⋊Q₈	—	4	1	no	—
569	C₂²⋊Q₈	—	4	1	no	—
570	C₂²⋊Q₈	—	4	1	no	—
571	C₂²⋊Q₈	—	8	2	no	—
572	#121	—	2	2	no	—
573	#121	—	4	1	no	—
574	#121	—	4	4	no	—
575	#120	—	4	4	no	—
576	C₄×Q₈	—	4	1	no	—
577	C₄×Q₈	—	4	1	no	—
578	C₄×Q₈	—	8	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	1	no	—
594	C₄×D₄	—	4	1	no	—
595	C₄×D₄	—	4	4	no	—
596	C₄×D₄	—	4	4	no	—
597	#117	—	8	2	no	—
598	C₂×C₄⋊C₄	—	2	2	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	—	4	1	no	—
622	C₂×C₄⋊C₄	—	4	1	no	—
623	C₂×C₄⋊C₄	—	4	1	no	—
624	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
642	C₂×C₂²⋊C₄	—	2	1	no	—
643	C₂×C₂²⋊C₄	—	2	1	no	—
644	C₂×C₂²⋊C₄	—	2	1	no	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	1	no	—
647	C₂×C₂²⋊C₄	—	2	1	no	—
648	C₂×C₂²⋊C₄	—	2	1	no	—
649	C₂×C₂²⋊C₄	—	2	1	no	—
650	C₂×C₂²⋊C₄	—	2	1	no	—
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	—	2	1	no	—
653	C₂×C₂²⋊C₄	—	2	1	no	—
654	C₂×C₂²⋊C₄	—	2	1	no	—
655	C₂×C₂²⋊C₄	—	2	1	no	—
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	4	4	no	—
667	C₂×C₂²⋊C₄	—	4	4	no	—
668	C₂×C₂²⋊C₄	—	8	2	no	—
669	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄²	—	2	1	no	—
678	C₂×C₄²	—	2	1	no	—
679	C₂×C₄²	—	2	1	no	—
680	C₂×C₄²	—	2	1	no	—
681	C₂×C₄²	—	2	1	no	—
682	C₂×C₄²	—	4	1	no	—
683	C₂×C₄²	—	4	1	no	—
684	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
685	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
686	C₂×C₄²	C₂⁴	1	1	yes	characteristic
687	C₂×C₄²	C₂⁴	1	1	yes	characteristic
688	C₂×C₄²	C₂⁴	1	1	yes	characteristic
689	C₂×C₄²	C₂⁴	1	1	yes	characteristic
690	C₂×C₄²	C₂⁴	1	1	yes	characteristic
691	#107	—	4	1	no	—
692	#107	—	4	1	no	—
693	#107	—	4	1	no	—
694	#107	—	4	1	no	—
695	#107	—	4	1	no	—
696	#106	—	2	2	no	—
697	#106	—	2	2	no	—
698	#106	—	4	1	no	—
699	#106	—	4	1	no	—
700	#106	—	4	1	no	—
701	#106	—	4	1	no	—
702	#106	—	4	1	no	—
703	#106	—	4	1	no	—
704	C₄⋊C₈	—	2	2	no	—
705	C₄⋊C₈	—	4	1	no	—
706	C₄⋊C₈	—	4	1	no	—
707	C₄⋊C₈	—	4	1	no	—
708	C₄⋊C₈	—	4	1	no	—
709	#103	—	2	2	no	—
710	#103	—	2	2	no	—
711	#103	—	4	1	no	—
712	#103	—	4	1	no	—
713	#103	—	4	1	no	—
714	#103	—	4	1	no	—
715	#103	—	4	1	no	—
716	#103	—	4	1	no	—
717	#103	—	4	1	no	—
718	#103	—	4	1	no	—
719	#103	—	4	1	no	—
720	#103	—	4	1	no	—
721	#102	—	2	2	no	—
722	#102	—	2	2	no	—
723	#102	—	2	2	no	—
724	#102	—	2	2	no	—
725	#102	—	2	2	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	—	4	1	no	—
732	#102	—	4	1	no	—
733	#102	—	4	1	no	—
734	#102	#41	1	4	yes	—
735	C₂²⋊C₈	—	2	2	no	—
736	C₂²⋊C₈	—	4	1	no	—
737	C₂²⋊C₈	—	4	1	no	—
738	C₂²⋊C₈	—	4	1	no	—
739	C₂²⋊C₈	—	4	1	no	—
740	C₂²⋊C₈	—	4	1	no	—
741	C₂²⋊C₈	—	4	1	no	—
742	#97	—	4	1	no	—
743	#97	—	4	1	no	—
744	#97	—	4	1	no	—
745	C₄×C₈	—	4	1	no	—
746	C₄×C₈	—	4	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	—	2	1	no	—
752	#95	—	2	1	no	—
753	#95	—	2	1	no	—
754	#95	—	2	1	no	—
755	#95	—	2	1	no	—
756	#95	—	2	1	no	—
757	#95	—	2	1	no	—
758	#95	—	2	1	no	—
759	#95	—	2	1	no	—
760	#95	—	2	1	no	—
761	#95	—	2	1	no	—
762	#95	—	2	1	no	—
763	#95	—	2	1	no	—
764	#95	—	2	1	no	—
765	#95	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
770	#95	—	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	4	no	—
803	C₂⁴	—	2	1	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	#41	—	4	4	no	—
813	#41	—	8	2	no	—
814	#41	—	8	2	no	—
815	#41	—	8	2	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	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	1	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	4	2	no	—
829	C₂×Q₈	—	4	2	no	—
830	C₂×Q₈	—	4	2	no	—
831	C₂×Q₈	—	8	1	no	—
832	C₂×Q₈	—	8	1	no	—
833	C₂×Q₈	—	8	1	no	—
834	C₂×D₄	—	2	4	no	—
835	C₂×D₄	—	2	2	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	—	2	1	no	—
841	C₂×D₄	—	2	1	no	—
842	C₂×D₄	—	2	1	no	—
843	C₂×D₄	—	2	1	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	4	2	no	—
846	C₂×D₄	—	4	1	no	—
847	C₂×D₄	—	4	1	no	—
848	C₂×D₄	—	4	4	no	—
849	C₂×D₄	—	4	4	no	—
850	C₂×D₄	—	4	4	no	—
851	C₂×D₄	—	4	4	no	—
852	C₂×D₄	—	4	2	no	—
853	C₂×D₄	—	4	2	no	—
854	C₂×D₄	—	4	2	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	8	1	no	—
857	C₂×D₄	—	8	1	no	—
858	C₂×D₄	C₂×#41	1	2	yes	—
859	C₂×D₄	H(5,𝔽₂)	1	2	yes	—
860	C₂×D₄	H(5,𝔽₂)	1	2	yes	—
861	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	—	2	2	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	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	1	no	—
892	C₂²×C₄	—	4	1	no	—
893	C₂²×C₄	—	4	1	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	—	4	2	no	—
900	C₂²×C₄	—	4	2	no	—
901	C₂²×C₄	—	4	2	no	—
902	C₂²×C₄	—	4	2	no	—
903	C₂²×C₄	—	4	2	no	—
904	C₂²×C₄	—	4	2	no	—
905	C₂²×C₄	—	4	2	no	—
906	C₂²×C₄	—	4	2	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	4	2	no	—
909	C₂²×C₄	—	4	2	no	—
910	C₂²×C₄	—	4	2	no	—
911	C₂²×C₄	—	4	2	no	—
912	C₂²×C₄	—	4	2	no	—
913	C₂²×C₄	—	8	1	no	—
914	C₂²×C₄	—	8	1	no	—
915	C₂²×C₄	—	8	1	no	—
916	C₂²×C₄	—	8	1	no	—
917	C₂²×C₄	—	8	1	no	—
918	C₂²×C₄	—	8	1	no	—
919	C₂²×C₄	—	8	1	no	—
920	C₂²×C₄	—	8	1	no	—
921	C₂²×C₄	—	8	1	no	—
922	C₂²×C₄	—	8	1	no	—
923	C₂²×C₄	—	8	1	no	—
924	C₂²×C₄	—	8	16	no	—
925	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
927	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
928	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
929	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
930	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
931	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
932	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
933	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
934	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
935	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
936	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
937	C₂²×C₄	C₂⁵	1	1	yes	characteristic
938	Q₁₆	—	8	2	no	—
939	SD₁₆	—	4	4	no	—
940	SD₁₆	—	4	4	no	—
941	M₁₆	—	8	2	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	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	2	1	no	—
960	C₂×C₈	—	2	1	no	—
961	C₂×C₈	—	2	1	no	—
962	C₂×C₈	—	2	1	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	C₂×#41	1	2	yes	—
966	C₄⋊C₄	—	2	2	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	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	no	—
992	C₄⋊C₄	—	4	1	no	—
993	C₄⋊C₄	—	4	1	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	2	no	—
1000	C₄⋊C₄	—	4	2	no	—
1001	C₄⋊C₄	—	4	2	no	—
1002	C₄⋊C₄	—	4	2	no	—
1003	C₄⋊C₄	—	4	2	no	—
1004	C₄⋊C₄	—	8	1	no	—
1005	C₄⋊C₄	—	8	1	no	—
1006	C₄⋊C₄	—	8	1	no	—
1007	C₄⋊C₄	—	8	1	no	—
1008	C₄⋊C₄	—	8	1	no	—
1009	C₄⋊C₄	—	8	1	no	—
1010	C₄⋊C₄	—	8	1	no	—
1011	C₄⋊C₄	—	8	1	no	—
1012	C₄⋊C₄	—	8	1	no	—
1013	C₄⋊C₄	—	8	1	no	—
1014	C₄⋊C₄	—	8	1	no	—
1015	C₄⋊C₄	—	8	1	no	—
1016	C₄⋊C₄	C₂×#41	1	2	yes	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	4	1	no	—
1020	C₂²⋊C₄	—	4	1	no	—
1021	C₂²⋊C₄	—	4	1	no	—
1022	C₂²⋊C₄	—	4	1	no	—
1023	C₂²⋊C₄	—	4	1	no	—
1024	C₂²⋊C₄	—	4	1	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	—	4	2	no	—
1034	C₂²⋊C₄	—	4	2	no	—
1035	C₂²⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	4	2	no	—
1037	C₂²⋊C₄	—	4	2	no	—
1038	C₂²⋊C₄	—	4	2	no	—
1039	C₂²⋊C₄	—	4	2	no	—
1040	C₂²⋊C₄	—	8	1	no	—
1041	C₂²⋊C₄	—	8	1	no	—
1042	C₂²⋊C₄	—	8	1	no	—
1043	C₂²⋊C₄	—	8	1	no	—
1044	C₂²⋊C₄	—	8	1	no	—
1045	C₂²⋊C₄	—	8	1	no	—
1046	C₂²⋊C₄	—	8	1	no	—
1047	C₂²⋊C₄	—	8	1	no	—
1048	C₂²⋊C₄	—	8	1	no	—
1049	C₂²⋊C₄	—	8	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	—	2	1	no	—
1052	C₄²	—	2	1	no	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	4	1	no	—
1061	C₄²	—	4	1	no	—
1062	C₄²	—	4	2	no	—
1063	C₄²	—	8	1	no	—
1064	C₄²	—	8	1	no	—
1065	C₄²	—	8	1	no	—
1066	C₄²	—	8	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	2	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	2	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	4	8	no	—
1085	C₂³	—	4	8	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	—	4	1	no	—
1093	C₂³	—	4	1	no	—
1094	C₂³	—	4	1	no	—
1095	C₂³	—	4	1	no	—
1096	C₂³	—	8	4	no	—
1097	C₂³	—	8	4	no	—
1098	C₂³	—	8	4	no	—
1099	C₂³	—	8	4	no	—
1100	C₂³	—	8	4	no	—
1101	C₂³	#577	1	2	yes	—
1102	C₂³	C₂³×D₄	1	1	yes	characteristic
1103	Q₈	—	4	1	no	—
1104	Q₈	—	4	1	no	—
1105	Q₈	—	4	1	no	—
1106	Q₈	—	4	1	no	—
1107	Q₈	—	4	1	no	—
1108	Q₈	—	4	1	no	—
1109	Q₈	—	4	1	no	—
1110	Q₈	—	4	1	no	—
1111	Q₈	—	8	4	no	—
1112	Q₈	—	16	2	no	—
1113	D₄	—	2	2	no	—
1114	D₄	—	2	2	no	—
1115	D₄	—	2	2	no	—
1116	D₄	—	2	2	no	—
1117	D₄	—	2	2	no	—
1118	D₄	—	4	8	no	—
1119	D₄	—	4	1	no	—
1120	D₄	—	4	1	no	—
1121	D₄	—	8	2	no	—
1122	D₄	—	8	4	no	—
1123	D₄	—	16	2	no	—
1124	D₄	#542	1	4	yes	—
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	1	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	2	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	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	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	4	4	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	—	4	1	no	—
1208	C₂×C₄	—	4	1	no	—
1209	C₂×C₄	—	4	1	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	8	4	no	—
1212	C₂×C₄	—	8	4	no	—
1213	C₂×C₄	—	8	2	no	—
1214	C₂×C₄	—	8	4	no	—
1215	C₂×C₄	—	8	4	no	—
1216	C₂×C₄	—	8	4	no	—
1217	C₂×C₄	—	8	4	no	—
1218	C₂×C₄	—	8	4	no	—
1219	C₂×C₄	—	16	2	no	—
1220	C₂×C₄	—	16	2	no	—
1221	C₂×C₄	—	16	2	no	—
1222	C₂×C₄	#575	1	2	yes	—
1223	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1224	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1225	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1226	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1227	C₂×C₄	#585	1	1	yes	characteristic
1228	C₂×C₄	#585	1	1	yes	characteristic
1229	C₈	—	2	2	no	—
1230	C₈	—	4	1	no	—
1231	C₈	—	4	1	no	—
1232	C₈	—	4	1	no	—
1233	C₈	—	4	1	no	—
1234	C₈	—	4	1	no	—
1235	C₈	—	4	1	no	—
1236	C₈	—	4	1	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	4	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	2	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	2	no	—
1248	C₂²	—	4	2	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	2	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	2	no	—
1255	C₂²	—	4	2	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	1	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	1	no	—
1260	C₂²	—	4	2	no	—
1261	C₂²	—	8	16	no	—
1262	C₂²	—	8	1	no	—
1263	C₂²	—	8	1	no	—
1264	C₂²	—	8	1	no	—
1265	C₂²	—	8	1	no	—
1266	C₂²	D₄×#41	1	1	yes	characteristic
1267	C₂²	#3484	1	1	yes	characteristic
1268	C₂²	#3489	1	1	yes	characteristic
1269	C₂²	C₂×#575	1	1	yes	characteristic
1270	C₂²	C₂×#577	1	1	yes	characteristic
1271	C₂²	#3585	1	1	yes	characteristic
1272	C₂²	#3586	1	1	yes	characteristic
1273	C₄	—	2	2	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	2	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	8	1	no	—
1287	C₄	—	8	1	no	—
1288	C₄	—	8	1	no	—
1289	C₄	—	8	1	no	—
1290	C₄	—	8	1	no	—
1291	C₄	—	8	1	no	—
1292	C₄	—	8	1	no	—
1293	C₄	—	8	1	no	—
1294	C₄	—	8	1	no	—
1295	C₄	—	8	1	no	—
1296	C₄	—	8	1	no	—
1297	C₄	—	8	1	no	—
1298	C₄	—	8	1	no	—
1299	C₄	C₂×#542	1	1	yes	characteristic
1300	C₄	#3513	1	1	yes	characteristic
1301	C₄	#3533	1	1	yes	characteristic
1302	C₄	#3535	1	1	yes	characteristic
1303	C₂	—	4	2	no	—
1304	C₂	—	4	4	no	—
1305	C₂	—	8	1	no	—
1306	C₂	—	8	2	no	—
1307	C₂	#37715	1	1	yes	characteristic
1308	C₂	#61464	1	1	yes	characteristic
1309	C₂	#61520	1	1	yes	characteristic
1310	C₂	#61601	1	1	yes	characteristic
1311	C₂	#61647	1	1	yes	characteristic
1312	C₂	#62116	1	1	yes	characteristic
1313	C₂	#62156	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#546	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. #40055	C₂	semidirect
3. #32956	C₂	semidirect
4. #32290	C₂	semidirect
5. #32275	C₂	semidirect
6. #32068	C₂	semidirect
7. #31906	C₂	semidirect
8. #31772	C₂	semidirect
9. #31376	C₂	semidirect
10. #30817	C₂	semidirect
11. #30685	C₂	semidirect
12. #30366	C₂	semidirect
13. #30013	C₂	semidirect
14. #27565	C₂	semidirect
15. #27536	C₂	semidirect
16. #27248	C₂	semidirect
17. #27224	C₂	semidirect
18. #27174	C₂	semidirect
19. #26833	C₂	semidirect
20. #26704	C₂	semidirect
21. #26386	C₂	semidirect
22. #26051	C₂	semidirect
23. #25978	C₂	semidirect
25. #25044	C₂	semidirect
26. #24923	C₂	semidirect
28. #22975	C₂	semidirect
29. #22582	C₂	semidirect
30. #22359	C₂	semidirect
31. #21453	C₂	semidirect
54. #2550	C₂²	semidirect
55. #2511	C₂²	semidirect
59. #2492	C₂²	semidirect
64. #2453	C₂²	semidirect
69. #2440	C₂²	semidirect
70. #2421	C₂²	semidirect
77. #2365	C₂²	semidirect
80. #2344	C₂²	semidirect
88. #2101	C₂²	semidirect
89. #2099	C₂²	semidirect
90. #2097	C₂²	semidirect
91. #2097	C₂²	semidirect
92. #2096	C₂²	semidirect
93. #2088	C₂²	semidirect
94. #2088	C₂²	semidirect
95. #2085	C₂²	semidirect
98. #2077	C₂²	semidirect
99. #2076	C₂²	semidirect
101. #2074	C₂²	semidirect
103. #2068	C₂²	semidirect
104. #2068	C₂²	semidirect
105. #2066	C₂²	semidirect
106. #2066	C₂²	semidirect
108. #2059	C₂²	semidirect
109. #2059	C₂²	semidirect
110. #2057	C₂²	semidirect
111. #2056	C₂²	semidirect
112. #2056	C₂²	semidirect
119. #2035	C₂²	semidirect
120. #2035	C₂²	semidirect
123. #2024	C₂²	semidirect
124. #2024	C₂²	semidirect
128. #1993	C₂²	semidirect
130. #1971	C₂²	semidirect
133. #1949	C₂²	semidirect
134. #1949	C₂²	semidirect
135. #1944	C₂²	semidirect
136. #1944	C₂²	semidirect
137. #1941	C₂²	semidirect
138. #1939	C₂²	semidirect
140. #1935	C₂²	semidirect
141. #1935	C₂²	semidirect
142. #1933	C₂²	semidirect
143. #1933	C₂²	semidirect
144. #1928	C₂²	semidirect
145. #1927	C₂²	semidirect
146. #1927	C₂²	semidirect
150. #1924	C₂²	semidirect
151. #1924	C₂²	semidirect
153. #1921	C₂²	semidirect
154. #1920	C₂²	semidirect
155. #1919	C₂²	semidirect
156. #1917	C₂²	semidirect
157. #1916	C₂²	semidirect
158. #1878	C₂²	semidirect
167. #1865	C₂²	semidirect
179. #1853	C₂²	semidirect
181. #1851	C₂²	semidirect
182. #1846	C₂²	semidirect
183. #1824	C₂²	semidirect
184. #1809	C₂²	semidirect
185. #1809	C₂²	semidirect
195. #1771	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
#40055	2
#36155	2
#32956	2
#32290	2
#32275	2
#32068	2
#31906	2
#31772	2
#31376	2
#30817	2
#30685	2
#30366	2
#30013	2
#27565	2
#27536	2
#27248	2
#27224	2
#27174	2
#26833	2
#26704	2
#26386	2
#26051	2
#25978	2
#25890	2
#25044	2
#24923	2
#24452	2
#22975	2
#22582	2
#22359	2
#21453	2