Subgroups — #7526357

Order 512.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1304 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59290	C₂	1	1	yes	maximal, characteristic, complemented
2	#36216	C₂	1	1	yes	maximal, characteristic
3	#31972	C₂	1	1	yes	maximal, characteristic, complemented
4	#31612	C₂	1	1	yes	maximal, characteristic, complemented
5	#31588	C₂	1	1	yes	maximal, characteristic, complemented
6	#31378	C₂	1	1	yes	maximal, characteristic, complemented
7	#29025	C₂	1	1	yes	maximal, characteristic, complemented
8	#28847	C₂	1	1	yes	maximal, characteristic, complemented
9	#27863	C₂	1	1	yes	maximal, characteristic, complemented
10	#27704	C₂	1	1	yes	maximal, characteristic, complemented
11	#27669	C₂	1	1	yes	maximal, characteristic, complemented
12	#27539	C₂	1	1	yes	maximal, characteristic, complemented
13	#27518	C₂	1	1	yes	maximal, characteristic, complemented
14	#27315	C₂	1	1	yes	maximal, characteristic, complemented
15	#27307	C₂	1	1	yes	maximal, characteristic, complemented
16	#27160	C₂	1	1	yes	maximal, characteristic, complemented
17	#26691	C₂	1	1	yes	maximal, characteristic, complemented
18	#26110	C₂	1	1	yes	maximal, characteristic, complemented
19	#25978	C₂	1	1	yes	maximal, characteristic, complemented
20	#25958	C₂	1	1	yes	maximal, characteristic, complemented
21	#24949	C₂	1	1	yes	maximal, characteristic, complemented
22	#24603	C₂	1	1	yes	maximal, characteristic, complemented
23	#24589	C₂	1	1	yes	maximal, characteristic, complemented
24	#24048	C₂	1	1	yes	maximal, characteristic
25	#22975	C₂	1	1	yes	maximal, characteristic, complemented
26	#22904	C₂	1	1	yes	maximal, characteristic, complemented
27	#22582	C₂	1	1	yes	maximal, characteristic, complemented
28	#22570	C₂	1	1	yes	maximal, characteristic, complemented
29	#22419	C₂	1	1	yes	maximal, characteristic
30	#20875	C₂	1	1	yes	maximal, characteristic, complemented
31	#20737	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#552	—	2	1	no	—
33	C₂×#546	C₂²	1	1	yes	characteristic
34	C₂×C₄×#41	C₂²	1	1	yes	characteristic
35	C₂×#481	C₂²	1	1	yes	characteristic
36	C₂×#476	C₂²	1	1	yes	characteristic
37	C₂×#435	C₂²	1	1	yes	characteristic
38	C₂×#431	C₂²	1	1	yes	characteristic, complemented
39	C₂×#428	C₂²	1	1	yes	characteristic, complemented
40	C₂×#417	C₂²	1	1	yes	characteristic
41	C₂×#417	C₂²	1	1	yes	characteristic
42	C₂²×#102	C₂²	1	1	yes	characteristic
43	#2854	C₂²	1	1	yes	characteristic
44	#2853	—	2	1	no	—
45	#2719	—	2	1	no	—
46	#2698	—	2	1	no	—
47	#2552	C₂²	1	1	yes	characteristic, complemented
48	#2506	C₂²	1	1	yes	characteristic, complemented
49	#2506	C₂²	1	1	yes	characteristic, complemented
50	#2500	C₂²	1	1	yes	characteristic
51	#2498	—	2	1	no	—
52	#2496	C₂²	1	1	yes	characteristic
53	#2496	C₂²	1	1	yes	characteristic
54	#2486	C₂²	1	1	yes	characteristic
55	#2485	C₂²	1	1	yes	characteristic
56	#2484	—	2	1	no	—
57	#2482	—	2	1	no	—
58	#2478	—	2	1	no	—
59	#2462	—	2	1	no	—
60	#2448	C₂²	1	1	yes	characteristic
61	#2448	C₂²	1	1	yes	characteristic
62	#2444	—	2	1	no	—
63	#2443	—	2	1	no	—
64	#2440	C₂²	1	1	yes	characteristic
65	#2440	C₂²	1	1	yes	characteristic, complemented
66	#2438	—	2	1	no	—
67	#2423	C₂²	1	1	yes	characteristic
68	#2421	C₂²	1	1	yes	characteristic
69	#2419	—	2	1	no	—
70	#2418	—	2	1	no	—
71	#2418	—	2	1	no	—
72	#2365	C₂²	1	1	yes	characteristic, complemented
73	#2349	C₂²	1	1	yes	characteristic
74	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
75	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	#2344	C₂²	1	1	yes	characteristic
77	#2344	C₂²	1	1	yes	characteristic, complemented
78	#2339	C₂²	1	1	yes	characteristic
79	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
80	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
81	C₄×#123	C₂²	1	1	yes	characteristic
82	C₂×#389	C₂²	1	1	yes	characteristic, complemented
83	C₂×#388	—	2	1	no	—
84	#2285	C₂²	1	1	yes	characteristic, complemented
85	#2101	C₂²	1	1	yes	characteristic, complemented
86	#2100	C₂²	1	1	yes	characteristic, complemented
87	#2100	C₂²	1	1	yes	characteristic, complemented
88	#2100	C₂²	1	1	yes	characteristic, complemented
89	#2096	C₂²	1	1	yes	characteristic, complemented
90	#2094	C₂²	1	1	yes	characteristic
91	#2088	C₂²	1	1	yes	characteristic, complemented
92	#2088	C₂²	1	1	yes	characteristic, complemented
93	#2088	C₂²	1	1	yes	characteristic, complemented
94	#2087	C₂²	1	1	yes	characteristic, complemented
95	#2085	C₂²	1	1	yes	characteristic, complemented
96	#2084	C₂²	1	1	yes	characteristic, complemented
97	#2084	C₂²	1	1	yes	characteristic, complemented
98	#2083	C₂²	1	1	yes	characteristic, complemented
99	#2077	C₂²	1	1	yes	characteristic
100	#2077	C₂²	1	1	yes	characteristic
101	#2075	C₂²	1	1	yes	characteristic
102	#2075	C₂²	1	1	yes	characteristic
103	#2071	C₂²	1	1	yes	characteristic
104	#2071	C₂²	1	1	yes	characteristic
105	#2068	C₂²	1	1	yes	characteristic, complemented
106	#2067	C₂²	1	1	yes	characteristic
107	#2066	C₂²	1	1	yes	characteristic, complemented
108	#2065	C₂²	1	1	yes	characteristic
109	#2065	C₂²	1	1	yes	characteristic
110	#2065	C₂²	1	1	yes	characteristic
111	#2042	C₂²	1	1	yes	characteristic
112	#2042	C₂²	1	1	yes	characteristic
113	#2035	C₂²	1	1	yes	characteristic
114	#2035	C₂²	1	1	yes	characteristic
115	#2024	C₂²	1	1	yes	characteristic, complemented
116	#2023	C₂²	1	1	yes	characteristic
117	#1993	C₂²	1	1	yes	characteristic, complemented
118	#1983	C₂²	1	1	yes	characteristic
119	#1959	C₂²	1	1	yes	characteristic
120	#1949	C₂²	1	1	yes	characteristic, complemented
121	#1948	C₂²	1	1	yes	characteristic, complemented
122	#1944	C₂²	1	1	yes	characteristic, complemented
123	#1943	C₂²	1	1	yes	characteristic, complemented
124	#1941	C₂²	1	1	yes	characteristic, complemented
125	#1941	C₂²	1	1	yes	characteristic, complemented
126	#1939	C₂²	1	1	yes	characteristic, complemented
127	#1936	C₂²	1	1	yes	characteristic
128	#1935	C₂²	1	1	yes	characteristic, complemented
129	#1934	C₂²	1	1	yes	characteristic
130	#1934	C₂²	1	1	yes	characteristic
131	#1934	C₂²	1	1	yes	characteristic
132	#1933	C₂²	1	1	yes	characteristic, complemented
133	#1928	C₂²	1	1	yes	characteristic, complemented
134	#1927	C₂²	1	1	yes	characteristic, complemented
135	#1926	C₂²	1	1	yes	characteristic
136	#1925	C₂²	1	1	yes	characteristic
137	#1925	C₂²	1	1	yes	characteristic
138	#1925	C₂²	1	1	yes	characteristic
139	#1924	C₂²	1	1	yes	characteristic
140	#1923	C₂²	1	1	yes	characteristic
141	#1921	C₂²	1	1	yes	characteristic, complemented
142	#1920	C₂²	1	1	yes	characteristic, complemented
143	#1920	C₂²	1	1	yes	characteristic, complemented
144	#1919	C₂²	1	1	yes	characteristic, complemented
145	#1917	C₂²	1	1	yes	characteristic, complemented
146	#1916	C₂²	1	1	yes	characteristic, complemented
147	#1895	C₂²	1	1	yes	characteristic
148	#1895	C₂²	1	1	yes	characteristic
149	#1892	C₂²	1	1	yes	characteristic
150	#1874	C₂²	1	1	yes	characteristic
151	#1872	C₂²	1	1	yes	characteristic
152	#1870	C₂²	1	1	yes	characteristic
153	#1865	C₂²	1	1	yes	characteristic, complemented
154	#1865	C₂²	1	1	yes	characteristic, complemented
155	#1864	C₂²	1	1	yes	characteristic
156	#1864	C₂²	1	1	yes	characteristic
157	#1864	C₂²	1	1	yes	characteristic
158	#1864	C₂²	1	1	yes	characteristic
159	#1864	C₂²	1	1	yes	characteristic
160	#1864	C₂²	1	1	yes	characteristic
161	#1863	C₂²	1	1	yes	characteristic, complemented
162	#1863	C₂²	1	1	yes	characteristic, complemented
163	#1862	C₂²	1	1	yes	characteristic
164	#1862	C₂²	1	1	yes	characteristic
165	#1862	C₂²	1	1	yes	characteristic
166	#1862	C₂²	1	1	yes	characteristic
167	#1853	C₂²	1	1	yes	characteristic
168	#1853	C₂²	1	1	yes	characteristic, complemented
169	#1851	C₂²	1	1	yes	characteristic, complemented
170	#1850	C₂²	1	1	yes	characteristic
171	#1834	C₂²	1	1	yes	characteristic, complemented
172	#1825	C₂²	1	1	yes	characteristic, complemented
173	#1825	C₂²	1	1	yes	characteristic, complemented
174	#1824	C₂²	1	1	yes	characteristic, complemented
175	#1823	C₂²	1	1	yes	characteristic
176	#1809	C₂²	1	1	yes	characteristic, complemented
177	#1809	C₂²	1	1	yes	characteristic, complemented
178	#1808	C₂²	1	1	yes	characteristic
179	#1807	C₂²	1	1	yes	characteristic
180	#1803	C₂²	1	1	yes	characteristic, complemented
181	#1803	C₂²	1	1	yes	characteristic, complemented
182	#1802	C₂²	1	1	yes	characteristic
183	#1802	C₂²	1	1	yes	characteristic
184	#1802	C₂²	1	1	yes	characteristic
185	#1802	C₂²	1	1	yes	characteristic
186	#1788	C₂²	1	1	yes	characteristic
187	#1788	C₂²	1	1	yes	characteristic
188	#1786	C₂²	1	1	yes	characteristic
189	#1786	C₂²	1	1	yes	characteristic
190	#1786	C₂²	1	1	yes	characteristic
191	#1771	C₂²	1	1	yes	characteristic, complemented
192	#1762	C₂²	1	1	yes	characteristic
193	#1762	C₂²	1	1	yes	characteristic
194	C₄×#103	C₂²	1	1	yes	characteristic, complemented
195	C₄×#103	C₂²	1	1	yes	characteristic, complemented
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, complemented
200	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
201	#1736	C₂²	1	1	yes	characteristic, complemented
202	#1728	C₂²	1	1	yes	characteristic, complemented
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂³×D₄	C₂³	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	#552	—	4	8	no	—
209	#546	—	2	4	no	—
210	#546	—	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	—	2	1	no	—
216	C₂×#125	—	2	1	no	—
217	C₂×#124	C₂³	1	1	yes	characteristic
218	C₂×#123	—	2	1	no	—
219	C₂×#123	—	2	1	no	—
220	C₂×#123	—	2	1	no	—
221	C₂×#123	D₄	1	1	yes	characteristic
222	C₂×C₂²⋊Q₈	—	2	1	no	—
223	C₂×C₂²⋊Q₈	—	2	1	no	—
224	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂×#121	—	2	1	no	—
226	C₂×#121	C₂³	1	1	yes	characteristic
227	C₂×#120	—	2	1	no	—
228	C₄×#41	—	2	4	no	—
229	C₄×#41	—	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	—	2	1	no	—
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×#117	—	2	1	no	—
243	C₂×#117	—	2	1	no	—
244	C₂×#117	—	2	1	no	—
245	C₂×#117	—	2	1	no	—
246	C₂×#117	C₂³	1	1	yes	characteristic
247	C₂²×C₄⋊C₄	—	2	1	no	—
248	C₂²×C₄⋊C₄	—	2	1	no	—
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊C₄	—	2	1	no	—
253	C₂²×C₂²⋊C₄	—	2	1	no	—
254	C₂²×C₂²⋊C₄	—	2	1	no	—
255	C₂²×C₄²	—	2	1	no	—
256	C₂²×C₄²	C₂³	1	1	yes	characteristic
257	#481	—	4	2	no	—
258	#476	—	2	4	no	—
259	#435	—	4	2	no	—
260	#431	—	4	2	no	—
261	#428	—	4	2	no	—
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×#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×#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	#417	—	2	4	no	—
280	#417	—	2	4	no	—
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	—	2	4	no	—
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×#102	C₂³	1	1	yes	characteristic
304	C₂×#102	C₂³	1	1	yes	characteristic
305	C₂×#102	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×#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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#399	—	2	1	no	—
322	#399	—	2	1	no	—
323	#399	—	2	1	no	—
324	#398	—	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	#397	—	2	1	no	—
339	#395	—	2	1	no	—
340	#395	—	2	1	no	—
341	#394	—	2	1	no	—
342	#394	—	2	1	no	—
343	#394	—	2	1	no	—
344	#391	—	2	1	no	—
345	#391	C₂³	1	1	yes	characteristic
346	#391	C₂³	1	1	yes	characteristic
347	#390	C₂³	1	1	yes	characteristic
348	#390	C₂³	1	1	yes	characteristic
349	#390	C₂³	1	1	yes	characteristic
350	#390	C₂³	1	1	yes	characteristic
351	#389	—	2	1	no	—
352	#389	—	2	1	no	—
353	#389	—	2	1	no	—
354	#389	—	2	1	no	—
355	#389	C₂³	1	1	yes	characteristic
356	#389	C₂³	1	1	yes	characteristic
357	#389	C₂³	1	1	yes	characteristic
358	#389	C₂³	1	1	yes	characteristic
359	#389	C₂³	1	1	yes	characteristic
360	#389	C₂³	1	1	yes	characteristic
361	#389	C₂³	1	1	yes	characteristic
362	#389	C₂³	1	1	yes	characteristic
363	#389	C₂³	1	1	yes	characteristic
364	#389	C₂³	1	1	yes	characteristic
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	#388	—	2	1	no	—
370	#388	—	2	1	no	—
371	#388	—	2	1	no	—
372	#388	—	2	1	no	—
373	#388	—	2	1	no	—
374	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
381	#388	D₄	1	1	yes	characteristic
382	#387	—	2	1	no	—
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	D₄	1	1	yes	characteristic
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	#385	—	2	1	no	—
411	#385	—	2	1	no	—
412	#385	—	2	1	no	—
413	#385	D₄	1	1	yes	characteristic
414	#384	C₂³	1	1	yes	characteristic
415	#384	C₂³	1	1	yes	characteristic
416	#384	C₂³	1	1	yes	characteristic
417	#384	C₂³	1	1	yes	characteristic
418	#384	C₂³	1	1	yes	characteristic
419	#382	—	2	1	no	—
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	D₄	1	1	yes	characteristic
426	#380	—	2	1	no	—
427	#380	—	2	1	no	—
428	#380	—	2	1	no	—
429	#380	C₂³	1	1	yes	characteristic
430	#380	C₂³	1	1	yes	characteristic
431	#380	C₂³	1	1	yes	characteristic
432	#380	C₂³	1	1	yes	characteristic
433	#380	C₂³	1	1	yes	characteristic
434	#380	C₂³	1	1	yes	characteristic
435	#380	C₂³	1	1	yes	characteristic
436	#380	C₂³	1	1	yes	characteristic
437	#379	—	2	1	no	—
438	#379	—	2	1	no	—
439	C₄×C₄⋊C₄	—	2	1	no	—
440	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
443	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×#95	—	2	1	no	—
451	C₂×#95	—	2	1	no	—
452	C₂×#95	—	2	1	no	—
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	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	C₂⁵	—	2	1	no	—
492	C₂×#41	—	2	2	no	—
493	C₂×#41	—	2	2	no	—
494	C₂×#41	—	2	2	no	—
495	C₂×#41	—	4	1	no	—
496	C₂×#41	—	4	1	no	—
497	C₂×#41	#41	1	4	yes	—
498	C₂²×Q₈	—	2	1	no	—
499	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
500	C₂²×D₄	—	2	1	no	—
501	C₂²×D₄	—	2	2	no	—
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	—	4	1	no	—
507	C₂²×D₄	—	4	1	no	—
508	C₂²×D₄	—	4	1	no	—
509	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
510	C₂²×D₄	C₂⁴	1	1	yes	characteristic
511	C₂²×D₄	C₂⁴	1	1	yes	characteristic
512	C₂³×C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
522	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂³×C₄	C₂⁴	1	1	yes	characteristic
525	C₂×M₁₆	—	2	2	no	—
526	C₂×M₁₆	—	2	2	no	—
527	C₂×M₁₆	—	2	2	no	—
528	C₂×M₁₆	—	4	1	no	—
529	C₂×M₁₆	—	4	1	no	—
530	C₂×M₁₆	—	4	1	no	—
531	C₂²×C₈	—	2	2	no	—
532	C₂²×C₈	—	4	1	no	—
533	C₂²×C₈	—	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	—	2	2	no	—
543	C₄⋊Q₈	—	4	1	no	—
544	#126	—	4	4	no	—
545	#126	—	4	4	no	—
546	#125	—	4	4	no	—
547	#125	—	4	4	no	—
548	#125	—	4	4	no	—
549	#124	—	2	2	no	—
550	#124	—	4	1	no	—
551	#123	—	2	4	no	—
552	#123	—	4	4	no	—
553	#123	—	4	4	no	—
554	#123	—	8	2	no	—
555	C₂²⋊Q₈	—	2	2	no	—
556	C₂²⋊Q₈	—	4	4	no	—
557	C₂²⋊Q₈	—	4	4	no	—
558	C₂²⋊Q₈	—	4	1	no	—
559	#121	—	2	2	no	—
560	#121	—	2	2	no	—
561	#121	—	4	4	no	—
562	#120	—	4	4	no	—
563	C₄×Q₈	—	2	2	no	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	4	1	no	—
566	C₄×Q₈	—	4	1	no	—
567	C₄×Q₈	—	4	4	no	—
568	C₄×D₄	—	2	2	no	—
569	C₄×D₄	—	2	2	no	—
570	C₄×D₄	—	2	2	no	—
571	C₄×D₄	—	2	2	no	—
572	C₄×D₄	—	2	2	no	—
573	C₄×D₄	—	2	2	no	—
574	C₄×D₄	—	2	2	no	—
575	C₄×D₄	—	4	1	no	—
576	C₄×D₄	—	4	1	no	—
577	C₄×D₄	—	4	1	no	—
578	C₄×D₄	—	4	1	no	—
579	C₄×D₄	—	4	1	no	—
580	C₄×D₄	—	4	4	no	—
581	C₄×D₄	—	4	4	no	—
582	C₄×D₄	—	4	4	no	—
583	#117	—	2	2	no	—
584	#117	—	2	2	no	—
585	#117	—	4	4	no	—
586	#117	—	4	4	no	—
587	#117	—	4	4	no	—
588	#117	—	4	4	no	—
589	C₂×C₄⋊C₄	—	2	2	no	—
590	C₂×C₄⋊C₄	—	2	2	no	—
591	C₂×C₄⋊C₄	—	2	2	no	—
592	C₂×C₄⋊C₄	—	2	2	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	1	no	—
598	C₂×C₄⋊C₄	—	2	1	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	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	—	4	1	no	—
625	C₂×C₄⋊C₄	—	4	1	no	—
626	C₂×C₄⋊C₄	—	4	4	no	—
627	C₂×C₄⋊C₄	—	8	2	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	4	4	no	—
673	C₂×C₂²⋊C₄	—	4	4	no	—
674	C₂×C₂²⋊C₄	—	8	2	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	2	no	—
684	C₂×C₄²	—	2	2	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	—	2	1	no	—
693	C₂×C₄²	—	4	4	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	—	4	1	no	—
702	#107	—	4	1	no	—
703	#107	—	4	1	no	—
704	#107	—	4	1	no	—
705	#106	—	2	2	no	—
706	#106	—	2	2	no	—
707	#106	—	4	1	no	—
708	#106	—	4	1	no	—
709	#106	—	4	1	no	—
710	#106	—	4	1	no	—
711	#106	—	4	1	no	—
712	#106	—	4	1	no	—
713	C₄⋊C₈	—	2	2	no	—
714	C₄⋊C₈	—	4	1	no	—
715	C₄⋊C₈	—	4	1	no	—
716	C₄⋊C₈	—	4	1	no	—
717	C₄⋊C₈	—	4	1	no	—
718	#103	—	2	2	no	—
719	#103	—	2	2	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	—	4	1	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	#41	1	4	yes	—
742	C₂²⋊C₈	—	2	2	no	—
743	C₂²⋊C₈	—	2	2	no	—
744	C₂²⋊C₈	—	4	1	no	—
745	C₂²⋊C₈	—	4	1	no	—
746	C₂²⋊C₈	—	4	1	no	—
747	#97	—	4	1	no	—
748	#97	—	4	1	no	—
749	C₄×C₈	—	4	1	no	—
750	C₄×C₈	—	4	1	no	—
751	C₄×C₈	—	4	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	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	#95	C₂×D₄	1	1	yes	characteristic
795	C₂⁴	—	2	1	no	—
796	C₂⁴	—	2	1	no	—
797	C₂⁴	—	4	2	no	—
798	C₂⁴	—	4	2	no	—
799	C₂⁴	—	4	2	no	—
800	C₂⁴	—	4	2	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	C₂⁴	C₂²×D₄	1	1	yes	characteristic
806	#41	—	2	8	no	—
807	#41	—	4	4	no	—
808	#41	—	4	4	no	—
809	#41	—	4	4	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	—	2	1	no	—
815	C₂×Q₈	—	4	2	no	—
816	C₂×Q₈	—	4	2	no	—
817	C₂×Q₈	—	8	1	no	—
818	C₂×Q₈	C₂×#41	1	2	yes	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	—	2	1	no	—
824	C₂×D₄	—	2	1	no	—
825	C₂×D₄	—	2	1	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	1	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	4	1	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	4	2	no	—
835	C₂×D₄	—	4	2	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	4	4	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	8	2	no	—
840	C₂×D₄	—	8	2	no	—
841	C₂×D₄	—	8	2	no	—
842	C₂×D₄	—	8	1	no	—
843	C₂×D₄	—	8	1	no	—
844	C₂×D₄	C₂×#41	1	2	yes	—
845	C₂×D₄	C₂×#41	1	2	yes	—
846	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	4	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	1	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	—	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	—	4	1	no	—
877	C₂²×C₄	—	4	1	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	—	4	2	no	—
883	C₂²×C₄	—	4	2	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	—	4	2	no	—
886	C₂²×C₄	—	4	2	no	—
887	C₂²×C₄	—	4	2	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	—	8	1	no	—
896	C₂²×C₄	—	8	1	no	—
897	C₂²×C₄	—	8	1	no	—
898	C₂²×C₄	—	8	1	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	1	no	—
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	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	C₂×#41	1	2	yes	—
917	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
918	C₂²×C₄	C₂⁵	1	1	yes	characteristic
919	M₁₆	—	4	4	no	—
920	M₁₆	—	8	2	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	—	2	1	no	—
944	C₂×C₈	—	8	2	no	—
945	C₂×C₈	C₂×#41	1	2	yes	—
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	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	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	4	1	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	—	4	2	no	—
988	C₄⋊C₄	—	4	2	no	—
989	C₄⋊C₄	—	4	2	no	—
990	C₄⋊C₄	—	4	2	no	—
991	C₄⋊C₄	—	4	2	no	—
992	C₄⋊C₄	—	4	2	no	—
993	C₄⋊C₄	—	4	2	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	—	8	1	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₄⋊C₄	—	8	1	no	—
1003	C₄⋊C₄	—	8	1	no	—
1004	C₄⋊C₄	—	8	1	no	—
1005	C₄⋊C₄	—	8	1	no	—
1006	C₄⋊C₄	—	8	1	no	—
1007	C₄⋊C₄	C₂×#41	1	2	yes	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	4	1	no	—
1014	C₂²⋊C₄	—	4	1	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	—	4	2	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	AGL(1,ℤ/8)	1	4	yes	—
1042	C₄²	—	2	2	no	—
1043	C₄²	—	2	2	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	—	2	1	no	—
1054	C₄²	—	4	2	no	—
1055	C₄²	—	4	2	no	—
1056	C₄²	—	4	2	no	—
1057	C₄²	—	4	2	no	—
1058	C₄²	—	4	2	no	—
1059	C₄²	—	4	2	no	—
1060	C₄²	—	4	2	no	—
1061	C₄²	—	4	2	no	—
1062	C₂³	—	2	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	2	no	—
1068	C₂³	—	2	2	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	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	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	—	8	4	no	—
1089	C₂³	—	8	4	no	—
1090	C₂³	—	8	4	no	—
1091	C₂³	—	8	4	no	—
1092	C₂³	—	16	2	no	—
1093	C₂³	—	16	2	no	—
1094	C₂³	—	16	2	no	—
1095	C₂³	#546	1	2	yes	—
1096	C₂³	C₂×AGL(1,ℤ/8)	1	2	yes	—
1097	C₂³	C₂³×D₄	1	1	yes	characteristic
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	4	1	no	—
1101	Q₈	—	4	1	no	—
1102	Q₈	—	8	4	no	—
1103	D₄	—	2	2	no	—
1104	D₄	—	2	2	no	—
1105	D₄	—	2	2	no	—
1106	D₄	—	4	4	no	—
1107	D₄	—	4	8	no	—
1108	D₄	—	4	1	no	—
1109	D₄	—	4	1	no	—
1110	D₄	—	4	1	no	—
1111	D₄	—	4	1	no	—
1112	D₄	—	8	4	no	—
1113	D₄	—	16	2	no	—
1114	D₄	#552	1	4	yes	complemented
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	2	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	2	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	—	4	4	no	—
1154	C₂×C₄	—	4	4	no	—
1155	C₂×C₄	—	4	8	no	—
1156	C₂×C₄	—	4	1	no	—
1157	C₂×C₄	—	4	1	no	—
1158	C₂×C₄	—	4	1	no	—
1159	C₂×C₄	—	4	1	no	—
1160	C₂×C₄	—	4	1	no	—
1161	C₂×C₄	—	4	1	no	—
1162	C₂×C₄	—	4	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	1	no	—
1169	C₂×C₄	—	4	1	no	—
1170	C₂×C₄	—	4	1	no	—
1171	C₂×C₄	—	4	1	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	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	—	8	4	no	—
1201	C₂×C₄	—	8	4	no	—
1202	C₂×C₄	—	8	4	no	—
1203	C₂×C₄	—	8	4	no	—
1204	C₂×C₄	—	8	4	no	—
1205	C₂×C₄	—	8	4	no	—
1206	C₂×C₄	—	16	2	no	—
1207	C₂×C₄	—	16	2	no	—
1208	C₂×C₄	#546	1	2	yes	—
1209	C₂×C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1210	C₂×C₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1211	C₂×C₄	#577	1	2	yes	—
1212	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1213	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1214	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1215	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1216	C₂×C₄	#585	1	1	yes	characteristic
1217	C₂×C₄	#585	1	1	yes	characteristic
1218	C₈	—	2	2	no	—
1219	C₈	—	4	1	no	—
1220	C₈	—	4	1	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	C₂²	—	2	2	no	—
1227	C₂²	—	2	4	no	—
1228	C₂²	—	2	2	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	2	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	—	4	2	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	2	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	—	16	8	no	—
1255	C₂²	C₂×#546	1	1	yes	characteristic
1256	C₂²	D₄×#41	1	1	yes	characteristic
1257	C₂²	#3489	1	1	yes	characteristic
1258	C₂²	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1259	C₂²	C₂×#577	1	1	yes	characteristic
1260	C₂²	#3584	1	1	yes	characteristic
1261	C₂²	#3586	1	1	yes	characteristic
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	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	1	no	—
1275	C₄	—	4	2	no	—
1276	C₄	—	8	1	no	—
1277	C₄	—	8	1	no	—
1278	C₄	—	8	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	C₂×#552	1	1	yes	characteristic
1289	C₄	#3491	1	1	yes	characteristic
1290	C₄	#3513	1	1	yes	characteristic
1291	C₄	#3535	1	1	yes	characteristic
1292	C₂	—	4	2	no	—
1293	C₂	—	4	2	no	—
1294	C₂	—	4	4	no	—
1295	C₂	—	16	1	no	—
1296	C₂	#59012	1	1	yes	characteristic
1297	C₂	#61161	1	1	yes	characteristic
1298	C₂	#61172	1	1	yes	characteristic
1299	C₂	#61437	1	1	yes	characteristic
1300	C₂	#61540	1	1	yes	characteristic
1301	C₂	#62128	1	1	yes	characteristic
1302	C₂	#62196	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. #59290	C₂	semidirect
3. #31972	C₂	semidirect
4. #31612	C₂	semidirect
5. #31588	C₂	semidirect
6. #31378	C₂	semidirect
7. #29025	C₂	semidirect
8. #28847	C₂	semidirect
9. #27863	C₂	semidirect
10. #27704	C₂	semidirect
11. #27669	C₂	semidirect
12. #27539	C₂	semidirect
13. #27518	C₂	semidirect
14. #27315	C₂	semidirect
15. #27307	C₂	semidirect
16. #27160	C₂	semidirect
17. #26691	C₂	semidirect
18. #26110	C₂	semidirect
19. #25978	C₂	semidirect
20. #25958	C₂	semidirect
21. #24949	C₂	semidirect
22. #24603	C₂	semidirect
23. #24589	C₂	semidirect
25. #22975	C₂	semidirect
26. #22904	C₂	semidirect
27. #22582	C₂	semidirect
28. #22570	C₂	semidirect
30. #20875	C₂	semidirect
31. #20737	C₂	semidirect
38. C₂×#431	C₂²	semidirect
39. C₂×#428	C₂²	semidirect
47. #2552	C₂²	semidirect
48. #2506	C₂²	semidirect
49. #2506	C₂²	semidirect
65. #2440	C₂²	semidirect
72. #2365	C₂²	semidirect
77. #2344	C₂²	semidirect
82. C₂×#389	C₂²	semidirect
84. #2285	C₂²	semidirect
85. #2101	C₂²	semidirect
86. #2100	C₂²	semidirect
87. #2100	C₂²	semidirect
88. #2100	C₂²	semidirect
89. #2096	C₂²	semidirect
91. #2088	C₂²	semidirect
92. #2088	C₂²	semidirect
93. #2088	C₂²	semidirect
94. #2087	C₂²	semidirect
95. #2085	C₂²	semidirect
96. #2084	C₂²	semidirect
97. #2084	C₂²	semidirect
98. #2083	C₂²	semidirect
105. #2068	C₂²	semidirect
107. #2066	C₂²	semidirect
115. #2024	C₂²	semidirect
117. #1993	C₂²	semidirect
120. #1949	C₂²	semidirect
121. #1948	C₂²	semidirect
122. #1944	C₂²	semidirect
123. #1943	C₂²	semidirect
124. #1941	C₂²	semidirect
125. #1941	C₂²	semidirect
126. #1939	C₂²	semidirect
128. #1935	C₂²	semidirect
132. #1933	C₂²	semidirect
133. #1928	C₂²	semidirect
134. #1927	C₂²	semidirect
141. #1921	C₂²	semidirect
142. #1920	C₂²	semidirect
143. #1920	C₂²	semidirect
144. #1919	C₂²	semidirect
145. #1917	C₂²	semidirect
146. #1916	C₂²	semidirect
153. #1865	C₂²	semidirect
154. #1865	C₂²	semidirect
161. #1863	C₂²	semidirect
162. #1863	C₂²	semidirect
168. #1853	C₂²	semidirect
169. #1851	C₂²	semidirect
171. #1834	C₂²	semidirect
172. #1825	C₂²	semidirect
173. #1825	C₂²	semidirect
174. #1824	C₂²	semidirect
176. #1809	C₂²	semidirect
177. #1809	C₂²	semidirect
180. #1803	C₂²	semidirect
181. #1803	C₂²	semidirect
191. #1771	C₂²	semidirect
194. C₄×#103	C₂²	semidirect
195. C₄×#103	C₂²	semidirect
199. #1753	C₂²	semidirect
201. #1736	C₂²	semidirect
202. #1728	C₂²	semidirect
1114. D₄	#552	semidirect

Maximal subgroups

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

subgroup	index
#59290	2
#36216	2
#31972	2
#31612	2
#31588	2
#31378	2
#29025	2
#28847	2
#27863	2
#27704	2
#27669	2
#27539	2
#27518	2
#27315	2
#27307	2
#27160	2
#26691	2
#26110	2
#25978	2
#25958	2
#24949	2
#24603	2
#24589	2
#24048	2
#22975	2
#22904	2
#22582	2
#22570	2
#22419	2
#20875	2
#20737	2