Subgroups — #6400237

Order 512.

1938 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3314	C₂	1	1	yes	maximal, characteristic
2	#34478	C₂	1	1	yes	maximal, characteristic
3	#34299	C₂	1	1	yes	maximal, characteristic, complemented
4	#23228	C₂	1	1	yes	maximal, characteristic, complemented
5	#23103	C₂	1	1	yes	maximal, characteristic, complemented
6	#23066	C₂	1	1	yes	maximal, characteristic, complemented
7	#23035	C₂	1	1	yes	maximal, characteristic, complemented
8	#23030	C₂	1	1	yes	maximal, characteristic, complemented
9	#22941	C₂	1	1	yes	maximal, characteristic, complemented
10	#22925	C₂	1	1	yes	maximal, characteristic, complemented
11	#22884	C₂	1	1	yes	maximal, characteristic, complemented
12	#22867	C₂	1	1	yes	maximal, characteristic, complemented
13	#22820	C₂	1	1	yes	maximal, characteristic, complemented
14	#22662	C₂	1	1	yes	maximal, characteristic, complemented
15	#22579	C₂	1	1	yes	maximal, characteristic, complemented
16	#22562	C₂	1	1	yes	maximal, characteristic, complemented
17	#22502	C₂	1	1	yes	maximal, characteristic, complemented
18	#22427	C₂	1	1	yes	maximal, characteristic
19	#22233	C₂	1	1	yes	maximal, characteristic, complemented
20	#22192	C₂	1	1	yes	maximal, characteristic, complemented
21	#22186	C₂	1	1	yes	maximal, characteristic, complemented
22	#22127	C₂	1	1	yes	maximal, characteristic, complemented
23	#22052	C₂	1	1	yes	maximal, characteristic, complemented
24	#22048	C₂	1	1	yes	maximal, characteristic, complemented
25	#21585	C₂	1	1	yes	maximal, characteristic, complemented
26	#21578	C₂	1	1	yes	maximal, characteristic, complemented
27	#21511	C₂	1	1	yes	maximal, characteristic, complemented
28	#21128	C₂	1	1	yes	maximal, characteristic, complemented
29	#21065	C₂	1	1	yes	maximal, characteristic, complemented
30	#21059	C₂	1	1	yes	maximal, characteristic, complemented
31	#20564	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#554	C₂²	1	1	yes	characteristic
33	C₂×#546	C₂²	1	1	yes	characteristic
34	#3314	C₄	1	16	yes	complemented
35	C₂×#489	C₂²	1	1	yes	characteristic
36	C₂×#484	C₂²	1	1	yes	characteristic
37	C₂×#480	C₂²	1	1	yes	characteristic
38	C₂×#474	C₂²	1	1	yes	characteristic
39	C₂×#468	C₂²	1	1	yes	characteristic
40	C₂×#467	C₂²	1	1	yes	characteristic
41	C₂×#464	C₂²	1	1	yes	characteristic
42	C₂×#452	C₂²	1	1	yes	characteristic
43	C₂×#450	C₂²	1	1	yes	characteristic
44	C₂×#441	C₂²	1	1	yes	characteristic, complemented
45	C₂×#440	C₂²	1	1	yes	characteristic
46	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
47	C₂×#436	C₂²	1	1	yes	characteristic
48	C₂×#435	C₂²	1	1	yes	characteristic
49	C₂×#428	C₂²	1	1	yes	characteristic, complemented
50	C₂×#427	C₂²	1	1	yes	characteristic
51	C₂×#417	C₂²	1	1	yes	characteristic
52	C₂×#417	C₂²	1	1	yes	characteristic
53	C₂×#418	C₂²	1	1	yes	characteristic
54	C₂²×#102	C₂²	1	1	yes	characteristic
55	#2377	—	2	1	no	—
56	#2375	—	2	1	no	—
57	#2374	—	2	1	no	—
58	#2371	—	2	1	no	—
59	#2368	—	2	1	no	—
60	#2367	C₂²	1	1	yes	characteristic
61	#2365	C₂²	1	1	yes	characteristic, complemented
62	#2363	C₂²	1	1	yes	characteristic
63	#2362	—	2	1	no	—
64	#2362	C₂²	1	1	yes	characteristic
65	#2362	C₂²	1	1	yes	characteristic
66	#2360	C₂²	1	1	yes	characteristic, complemented
67	#2356	C₂²	1	1	yes	characteristic, complemented
68	#2354	C₂²	1	1	yes	characteristic
69	#2354	C₂²	1	1	yes	characteristic
70	#2353	—	2	1	no	—
71	#2352	C₂²	1	1	yes	characteristic
72	#2345	C₂²	1	1	yes	characteristic, complemented
73	#2344	C₂²	1	1	yes	characteristic
74	#2342	—	2	1	no	—
75	#2341	C₂²	1	1	yes	characteristic
76	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
77	#2336	—	2	1	no	—
78	#2335	—	2	1	no	—
79	#2332	—	2	1	no	—
80	#2331	C₂²	1	1	yes	characteristic, complemented
81	#2326	C₂²	1	1	yes	characteristic
82	#2324	—	2	1	no	—
83	#2323	C₂²	1	1	yes	characteristic
84	#2323	C₂²	1	1	yes	characteristic
85	#2321	—	2	1	no	—
86	#2319	C₂²	1	1	yes	characteristic
87	#2312	—	2	1	no	—
88	#2309	C₂²	1	1	yes	characteristic
89	C₄×C₂²⋊Q₈	—	2	1	no	—
90	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
91	C₄×#121	C₂²	1	1	yes	characteristic
92	#2297	C₂²	1	1	yes	characteristic
93	#2290	—	2	1	no	—
94	#2290	C₂²	1	1	yes	characteristic
95	#2276	C₂²	1	1	yes	characteristic, complemented
96	#2274	C₂²	1	1	yes	characteristic
97	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	#1990	C₂²	1	1	yes	characteristic, complemented
99	#1987	C₂²	1	1	yes	characteristic, complemented
100	#1983	C₂²	1	1	yes	characteristic
101	#1973	C₂²	1	1	yes	characteristic
102	#1973	C₂²	1	1	yes	characteristic
103	#1971	C₂²	1	1	yes	characteristic, complemented
104	#1968	C₂²	1	1	yes	characteristic
105	#1958	C₂²	1	1	yes	characteristic
106	#1949	C₂²	1	1	yes	characteristic, complemented
107	#1948	C₂²	1	1	yes	characteristic, complemented
108	#1943	C₂²	1	1	yes	characteristic, complemented
109	#1942	C₂²	1	1	yes	characteristic, complemented
110	#1936	C₂²	1	1	yes	characteristic
111	#1936	C₂²	1	1	yes	characteristic
112	#1936	C₂²	1	1	yes	characteristic
113	#1935	C₂²	1	1	yes	characteristic, complemented
114	#1934	C₂²	1	1	yes	characteristic
115	#1934	C₂²	1	1	yes	characteristic
116	#1928	C₂²	1	1	yes	characteristic, complemented
117	#1928	C₂²	1	1	yes	characteristic, complemented
118	#1928	C₂²	1	1	yes	characteristic, complemented
119	#1928	C₂²	1	1	yes	characteristic, complemented
120	#1927	C₂²	1	1	yes	characteristic, complemented
121	#1927	C₂²	1	1	yes	characteristic, complemented
122	#1927	C₂²	1	1	yes	characteristic, complemented
123	#1926	C₂²	1	1	yes	characteristic
124	#1926	C₂²	1	1	yes	characteristic
125	#1926	C₂²	1	1	yes	characteristic
126	#1926	C₂²	1	1	yes	characteristic
127	#1926	C₂²	1	1	yes	characteristic
128	#1926	C₂²	1	1	yes	characteristic
129	#1926	C₂²	1	1	yes	characteristic
130	#1926	C₂²	1	1	yes	characteristic
131	#1925	C₂²	1	1	yes	characteristic
132	#1925	C₂²	1	1	yes	characteristic
133	#1925	C₂²	1	1	yes	characteristic
134	#1925	C₂²	1	1	yes	characteristic
135	#1925	C₂²	1	1	yes	characteristic
136	#1921	C₂²	1	1	yes	characteristic, complemented
137	#1921	C₂²	1	1	yes	characteristic, complemented
138	#1921	C₂²	1	1	yes	characteristic, complemented
139	#1921	C₂²	1	1	yes	characteristic, complemented
140	#1918	C₂²	1	1	yes	characteristic, complemented
141	#1918	C₂²	1	1	yes	characteristic, complemented
142	#1895	C₂²	1	1	yes	characteristic
143	#1894	C₂²	1	1	yes	characteristic
144	#1894	C₂²	1	1	yes	characteristic
145	#1894	C₂²	1	1	yes	characteristic, complemented
146	#1880	C₂²	1	1	yes	characteristic
147	#1880	C₂²	1	1	yes	characteristic
148	#1880	C₂²	1	1	yes	characteristic
149	#1878	C₂²	1	1	yes	characteristic, complemented
150	#1878	C₂²	1	1	yes	characteristic, complemented
151	#1877	C₂²	1	1	yes	characteristic
152	#1874	C₂²	1	1	yes	characteristic
153	#1873	C₂²	1	1	yes	characteristic
154	#1873	C₂²	1	1	yes	characteristic
155	#1873	C₂²	1	1	yes	characteristic, complemented
156	#1865	C₂²	1	1	yes	characteristic, complemented
157	#1865	C₂²	1	1	yes	characteristic, complemented
158	#1865	C₂²	1	1	yes	characteristic, complemented
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	#1854	C₂²	1	1	yes	characteristic
165	#1854	C₂²	1	1	yes	characteristic
166	#1854	C₂²	1	1	yes	characteristic, complemented
167	#1853	C₂²	1	1	yes	characteristic, complemented
168	#1847	C₂²	1	1	yes	characteristic, complemented
169	#1823	C₂²	1	1	yes	characteristic
170	#1823	C₂²	1	1	yes	characteristic, complemented
171	#1809	C₂²	1	1	yes	characteristic, complemented
172	#1807	C₂²	1	1	yes	characteristic
173	#1804	C₂²	1	1	yes	characteristic
174	#1803	C₂²	1	1	yes	characteristic, complemented
175	#1788	C₂²	1	1	yes	characteristic
176	#1786	C₂²	1	1	yes	characteristic
177	#1776	C₂²	1	1	yes	characteristic, complemented
178	#1776	C₂²	1	1	yes	characteristic, complemented
179	#1776	C₂²	1	1	yes	characteristic, complemented
180	#1776	C₂²	1	1	yes	characteristic, complemented
181	C₄×#107	C₂²	1	1	yes	characteristic, complemented
182	#1771	C₂²	1	1	yes	characteristic, complemented
183	#1770	C₂²	1	1	yes	characteristic, complemented
184	#1768	C₂²	1	1	yes	characteristic, complemented
185	#1763	C₂²	1	1	yes	characteristic, complemented
186	#1762	C₂²	1	1	yes	characteristic
187	#1762	C₂²	1	1	yes	characteristic
188	#1762	C₂²	1	1	yes	characteristic
189	C₄×#103	C₂²	1	1	yes	characteristic, complemented
190	C₄×#103	C₂²	1	1	yes	characteristic, complemented
191	C₄×#103	C₂²	1	1	yes	characteristic, complemented
192	C₄×#102	C₂²	1	1	yes	characteristic
193	#1753	C₂²	1	1	yes	characteristic
194	#1753	C₂²	1	1	yes	characteristic, complemented
195	#1753	C₂²	1	1	yes	characteristic, complemented
196	#1752	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	#1749	C₂²	1	1	yes	characteristic, complemented
199	#1746	C₂²	1	1	yes	characteristic, complemented
200	#1736	C₂²	1	1	yes	characteristic
201	#1736	C₂²	1	1	yes	characteristic, complemented
202	#1729	C₂²	1	1	yes	characteristic
203	#1728	C₂²	1	1	yes	characteristic, complemented
204	C₂²×#41	C₂³	1	1	yes	characteristic
205	C₂³×D₄	C₂³	1	1	yes	characteristic
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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	#554	—	2	4	no	—
214	#554	C₂×C₄	1	8	yes	complemented
215	#546	—	2	4	no	—
216	#546	C₂×C₄	1	8	yes	—
217	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂×#125	—	2	1	no	—
219	C₂×#124	C₂³	1	1	yes	characteristic
220	C₂×#123	—	2	1	no	—
221	C₂×C₂²⋊Q₈	—	2	1	no	—
222	C₂×C₂²⋊Q₈	—	2	1	no	—
223	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₂×#121	—	2	1	no	—
227	C₂×#121	C₂³	1	1	yes	characteristic
228	C₂×#120	—	2	1	no	—
229	C₂×C₄×Q₈	—	2	1	no	—
230	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄	—	2	1	no	—
236	C₂×C₄×D₄	—	2	1	no	—
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	C₂×#117	—	2	1	no	—
243	C₂×#117	C₂³	1	1	yes	characteristic
244	C₂×#117	C₂³	1	1	yes	characteristic
245	C₂×#117	C₂³	1	1	yes	characteristic
246	C₂×#117	C₂³	1	1	yes	characteristic
247	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊C₄	—	2	1	no	—
251	C₂²×C₂²⋊C₄	—	2	1	no	—
252	C₂²×C₄²	—	2	1	no	—
253	C₂²×C₄²	C₂³	1	1	yes	characteristic
254	#489	C₂×C₄	1	8	yes	complemented
255	#484	C₂×C₄	1	8	yes	complemented
256	#480	C₂×C₄	1	8	yes	—
257	#474	C₂×C₄	1	8	yes	complemented
258	#468	C₂×C₄	1	8	yes	—
259	#467	C₂×C₄	1	8	yes	complemented
260	#464	C₂×C₄	1	8	yes	complemented
261	#452	C₂×C₄	1	8	yes	complemented
262	#450	C₂×C₄	1	8	yes	complemented
263	#441	—	4	2	no	—
264	#440	C₂×C₄	1	8	yes	complemented
265	C₄×SD₁₆	—	4	2	no	—
266	#436	—	2	4	no	—
267	#435	C₂×C₄	1	8	yes	complemented
268	#428	—	4	2	no	—
269	#427	—	4	2	no	—
270	C₂×#107	C₂³	1	1	yes	characteristic
271	C₂×#107	C₂³	1	1	yes	characteristic
272	C₂×#107	C₂³	1	1	yes	characteristic
273	C₂×#107	C₂³	1	1	yes	characteristic
274	C₂×#107	C₂³	1	1	yes	characteristic
275	C₂×#107	C₂³	1	1	yes	characteristic
276	C₂×#107	C₂³	1	1	yes	characteristic
277	C₂×#106	C₂³	1	1	yes	characteristic
278	C₂×#106	C₂³	1	1	yes	characteristic
279	C₂×#106	C₂³	1	1	yes	characteristic
280	C₂×#106	C₂³	1	1	yes	characteristic
281	C₂×#106	C₂³	1	1	yes	characteristic
282	C₂×#106	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	#418	—	4	2	no	—
286	#417	—	4	2	no	—
287	#417	C₂×C₄	1	8	yes	complemented
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	C₂³	1	1	yes	characteristic
291	C₂×#103	C₂³	1	1	yes	characteristic
292	C₂×#103	C₂³	1	1	yes	characteristic
293	C₂×#103	C₂³	1	1	yes	characteristic
294	C₂×#103	C₂³	1	1	yes	characteristic
295	C₂×#103	C₂³	1	1	yes	characteristic
296	C₂×#103	C₂³	1	1	yes	characteristic
297	C₂×#103	C₂³	1	1	yes	characteristic
298	C₂×#103	C₂³	1	1	yes	characteristic
299	C₂×#103	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂×C₄	1	8	yes	complemented
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×#102	C₂³	1	1	yes	characteristic
307	C₂×#102	C₂³	1	1	yes	characteristic
308	C₂×#102	C₂³	1	1	yes	characteristic
309	C₂×#102	C₂³	1	1	yes	characteristic
310	C₂×#102	C₂³	1	1	yes	characteristic
311	C₂×#102	C₂³	1	1	yes	characteristic
312	C₂×#102	C₂³	1	1	yes	characteristic
313	C₂×#102	C₂³	1	1	yes	characteristic
314	C₂×#102	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×#97	C₂³	1	1	yes	characteristic
320	C₂×#97	C₂³	1	1	yes	characteristic
321	C₂×#97	C₂³	1	1	yes	characteristic
322	C₂×#97	C₂³	1	1	yes	characteristic
323	C₂×#97	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
327	#391	—	2	1	no	—
328	#391	—	2	1	no	—
329	#391	—	2	1	no	—
330	#391	C₂³	1	1	yes	characteristic
331	#391	C₂³	1	1	yes	characteristic
332	#391	C₂³	1	1	yes	characteristic
333	#391	C₂³	1	1	yes	characteristic
334	#390	—	2	1	no	—
335	#390	—	2	1	no	—
336	#390	—	2	1	no	—
337	#390	—	2	1	no	—
338	#390	—	2	1	no	—
339	#390	—	2	1	no	—
340	#390	C₂³	1	1	yes	characteristic
341	#390	C₂³	1	1	yes	characteristic
342	#390	C₂³	1	1	yes	characteristic
343	#390	C₂³	1	1	yes	characteristic
344	#390	C₂³	1	1	yes	characteristic
345	#390	C₂³	1	1	yes	characteristic
346	#389	—	2	1	no	—
347	#389	—	2	1	no	—
348	#389	—	2	1	no	—
349	#389	C₂³	1	1	yes	characteristic
350	#389	C₂³	1	1	yes	characteristic
351	#389	C₂³	1	1	yes	characteristic
352	#389	C₂³	1	1	yes	characteristic
353	#389	C₂³	1	1	yes	characteristic
354	#389	C₂³	1	1	yes	characteristic
355	#388	—	2	1	no	—
356	#388	—	2	1	no	—
357	#388	—	2	1	no	—
358	#388	—	2	1	no	—
359	#388	—	2	1	no	—
360	#388	—	2	1	no	—
361	#388	—	2	1	no	—
362	#388	—	2	1	no	—
363	#388	—	2	1	no	—
364	#388	—	2	1	no	—
365	#388	—	2	1	no	—
366	#388	—	2	1	no	—
367	#388	—	2	1	no	—
368	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
377	#388	D₄	1	1	yes	characteristic
378	#387	—	2	1	no	—
379	#387	—	2	1	no	—
380	#387	—	2	1	no	—
381	#387	—	2	1	no	—
382	#387	—	2	1	no	—
383	#387	—	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	#386	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
412	#385	D₄	1	1	yes	characteristic
413	#384	C₂³	1	1	yes	characteristic
414	#383	—	2	1	no	—
415	#382	C₂³	1	1	yes	characteristic
416	#381	—	2	1	no	—
417	#381	—	2	1	no	—
418	#380	—	2	1	no	—
419	#380	—	2	1	no	—
420	#380	—	2	1	no	—
421	#380	—	2	1	no	—
422	#380	C₂³	1	1	yes	characteristic
423	#380	C₂³	1	1	yes	characteristic
424	#380	C₂³	1	1	yes	characteristic
425	#380	C₂³	1	1	yes	characteristic
426	#379	—	2	1	no	—
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	—	2	1	no	—
434	C₄×C₄⋊C₄	—	2	1	no	—
435	C₄×C₄⋊C₄	—	2	1	no	—
436	C₄×C₄⋊C₄	—	2	1	no	—
437	C₄×C₄⋊C₄	—	2	1	no	—
438	C₄×C₄⋊C₄	—	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×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	—	2	1	no	—
455	C₄×C₂²⋊C₄	—	2	1	no	—
456	C₄×C₂²⋊C₄	—	2	1	no	—
457	C₄×C₂²⋊C₄	—	2	1	no	—
458	C₄×C₂²⋊C₄	—	2	1	no	—
459	C₄×C₂²⋊C₄	—	2	1	no	—
460	C₄×C₂²⋊C₄	—	2	1	no	—
461	C₄×C₂²⋊C₄	—	2	1	no	—
462	C₄×C₂²⋊C₄	—	2	1	no	—
463	C₄×C₂²⋊C₄	—	2	1	no	—
464	C₄×C₂²⋊C₄	—	2	1	no	—
465	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
467	#376	—	2	1	no	—
468	#376	—	2	1	no	—
469	#376	C₂³	1	1	yes	characteristic
470	C₂×#95	—	2	1	no	—
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	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#340	C₂³	1	1	yes	characteristic
489	#340	C₂³	1	1	yes	characteristic
490	#340	C₂³	1	1	yes	characteristic
491	#340	C₂³	1	1	yes	characteristic
492	#340	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	C₂⁵	—	2	1	no	—
504	C₂×#41	—	2	2	no	—
505	C₂×#41	—	4	1	no	—
506	C₂×#41	—	4	1	no	—
507	C₂×#41	—	4	1	no	—
508	C₂×#41	—	4	1	no	—
509	C₂×#41	C₂²×C₄	1	4	yes	—
510	C₂²×Q₈	—	2	1	no	—
511	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
512	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂²×D₄	—	2	1	no	—
514	C₂²×D₄	—	2	1	no	—
515	C₂²×D₄	—	2	1	no	—
516	C₂²×D₄	—	2	2	no	—
517	C₂²×D₄	—	4	1	no	—
518	C₂²×D₄	—	4	1	no	—
519	C₂²×D₄	—	4	1	no	—
520	C₂²×D₄	—	4	1	no	—
521	C₂²×D₄	C₂²×C₄	1	4	yes	—
522	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
523	C₂²×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×D₄	C₂⁴	1	1	yes	characteristic
525	C₂³×C₄	—	2	1	no	—
526	C₂³×C₄	—	2	1	no	—
527	C₂³×C₄	—	2	1	no	—
528	C₂³×C₄	—	2	1	no	—
529	C₂³×C₄	—	2	1	no	—
530	C₂³×C₄	—	2	1	no	—
531	C₂³×C₄	—	2	1	no	—
532	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
533	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
534	C₂³×C₄	C₂⁴	1	1	yes	characteristic
535	C₂³×C₄	C₂⁴	1	1	yes	characteristic
536	C₂×Q₁₆	—	4	1	no	—
537	C₂×Q₁₆	—	4	1	no	—
538	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
539	C₂×SD₁₆	—	4	1	no	—
540	C₂×SD₁₆	—	4	1	no	—
541	C₂×SD₁₆	—	4	1	no	—
542	C₂×SD₁₆	—	4	1	no	—
543	C₂×SD₁₆	C₂²×C₄	1	4	yes	—
544	C₂×SD₁₆	C₂²×C₄	1	4	yes	—
545	C₂×M₁₆	—	2	2	no	—
546	C₂×M₁₆	—	2	2	no	—
547	C₂×M₁₆	—	4	1	no	—
548	C₂×M₁₆	—	4	1	no	—
549	C₂×M₁₆	—	4	1	no	—
550	C₂×M₁₆	—	4	1	no	—
551	C₂×M₁₆	—	4	1	no	—
552	C₂×M₁₆	—	4	1	no	—
553	C₂×M₁₆	C₂²×C₄	1	4	yes	—
554	C₂²×C₈	—	4	1	no	—
555	C₂²×C₈	—	4	1	no	—
556	C₂²×C₈	C₂²×C₄	1	4	yes	—
557	C₂²×C₈	C₂⁴	1	1	yes	characteristic
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₂²×C₈	C₂⁴	1	1	yes	characteristic
560	C₂²×C₈	C₂⁴	1	1	yes	characteristic
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	1	yes	characteristic
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₄⋊Q₈	—	2	2	no	—
566	C₄⋊Q₈	C₂²×C₄	1	4	yes	—
567	#125	—	2	8	no	—
568	#124	—	2	2	no	—
569	#124	C₂²×C₄	1	4	yes	—
570	#123	—	2	8	no	—
571	C₂²⋊Q₈	—	2	2	no	—
572	C₂²⋊Q₈	—	2	2	no	—
573	C₂²⋊Q₈	—	2	2	no	—
574	C₂²⋊Q₈	—	2	8	no	—
575	C₂²⋊Q₈	—	2	8	no	—
576	C₂²⋊Q₈	C₂²×C₄	1	4	yes	—
577	C₂²⋊Q₈	C₂²×C₄	1	4	yes	—
578	C₂²⋊Q₈	C₂²×C₄	1	4	yes	—
579	#121	—	2	2	no	—
580	#121	—	2	8	no	—
581	#121	C₂²×C₄	1	4	yes	—
582	#120	—	2	8	no	—
583	C₄×Q₈	—	2	2	no	—
584	C₄×Q₈	—	2	2	no	—
585	C₄×Q₈	—	4	1	no	—
586	C₄×Q₈	—	4	1	no	—
587	C₄×Q₈	—	4	1	no	—
588	C₄×Q₈	—	4	1	no	—
589	C₄×Q₈	—	4	1	no	—
590	C₄×Q₈	—	4	1	no	—
591	C₄×Q₈	—	4	1	no	—
592	C₄×Q₈	—	8	2	no	—
593	C₄×Q₈	C₂²×C₄	1	4	yes	—
594	C₄×D₄	—	2	8	no	—
595	C₄×D₄	—	2	2	no	—
596	C₄×D₄	—	4	1	no	—
597	C₄×D₄	—	4	1	no	—
598	C₄×D₄	—	4	1	no	—
599	C₄×D₄	—	4	1	no	—
600	C₄×D₄	—	8	2	no	—
601	C₄×D₄	C₂²×C₄	1	4	yes	—
602	C₄×D₄	C₂²×C₄	1	4	yes	—
603	C₄×D₄	#41	1	4	yes	—
604	#117	—	2	2	no	—
605	#117	—	4	1	no	—
606	#117	—	4	1	no	—
607	#117	—	4	1	no	—
608	#117	—	4	1	no	—
609	#117	—	4	1	no	—
610	#117	—	4	1	no	—
611	#117	—	4	1	no	—
612	#117	—	8	2	no	—
613	#117	—	8	2	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	2	no	—
622	C₂×C₄⋊C₄	—	2	2	no	—
623	C₂×C₄⋊C₄	—	2	2	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	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	2	1	no	—
634	C₂×C₄⋊C₄	—	2	1	no	—
635	C₂×C₄⋊C₄	—	2	1	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	4	1	no	—
638	C₂×C₄⋊C₄	C₂²×C₄	1	4	yes	—
639	C₂×C₄⋊C₄	C₂²×C₄	1	4	yes	—
640	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	8	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	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	8	2	no	—
687	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
705	C₂×C₄²	—	2	1	no	—
706	C₂×C₄²	—	2	1	no	—
707	C₂×C₄²	—	2	1	no	—
708	C₂×C₄²	—	2	1	no	—
709	C₂×C₄²	—	2	1	no	—
710	C₂×C₄²	—	2	1	no	—
711	C₂×C₄²	—	2	1	no	—
712	C₂×C₄²	—	2	1	no	—
713	C₂×C₄²	—	2	1	no	—
714	C₂×C₄²	—	2	1	no	—
715	C₂×C₄²	—	4	1	no	—
716	C₂×C₄²	—	4	1	no	—
717	C₂×C₄²	—	8	2	no	—
718	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
719	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
720	C₂×C₄²	C₂⁴	1	1	yes	characteristic
721	C₂×C₄²	C₂⁴	1	1	yes	characteristic
722	C₂×C₄²	C₂⁴	1	1	yes	characteristic
723	C₂×C₄²	C₂⁴	1	1	yes	characteristic
724	C₂×C₄²	C₂⁴	1	1	yes	characteristic
725	#107	—	2	2	no	—
726	#107	—	4	1	no	—
727	#107	—	4	1	no	—
728	#107	—	4	1	no	—
729	#107	C₂²×C₄	1	4	yes	—
730	#107	C₂²×C₄	1	4	yes	—
731	#107	C₂²×C₄	1	4	yes	—
732	#106	—	2	2	no	—
733	#106	—	2	2	no	—
734	#106	—	4	1	no	—
735	#106	—	4	1	no	—
736	#106	—	4	1	no	—
737	#106	—	4	1	no	—
738	C₄⋊C₈	—	2	2	no	—
739	C₄⋊C₈	C₂²×C₄	1	4	yes	—
740	#103	—	2	2	no	—
741	#103	—	4	1	no	—
742	#103	—	4	1	no	—
743	#103	—	4	1	no	—
744	#103	—	4	1	no	—
745	#103	—	4	1	no	—
746	#103	—	4	1	no	—
747	#103	—	4	1	no	—
748	#103	C₂²×C₄	1	4	yes	—
749	#103	C₂²×C₄	1	4	yes	—
750	#103	C₂²×C₄	1	4	yes	—
751	#103	C₂²×C₄	1	4	yes	—
752	#102	—	2	2	no	—
753	#102	—	2	2	no	—
754	#102	—	4	1	no	—
755	#102	—	4	1	no	—
756	#102	—	4	1	no	—
757	#102	—	4	1	no	—
758	#102	—	4	1	no	—
759	#102	—	4	1	no	—
760	#102	C₂²×C₄	1	4	yes	—
761	#102	C₂²×C₄	1	4	yes	—
762	#102	C₂²×C₄	1	4	yes	—
763	#102	C₂²×C₄	1	4	yes	—
764	#102	C₂²×C₄	1	4	yes	—
765	#102	C₂²×C₄	1	4	yes	—
766	C₂²⋊C₈	—	2	2	no	—
767	C₂²⋊C₈	—	2	2	no	—
768	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
769	C₂²⋊C₈	C₂²×C₄	1	4	yes	—
770	#97	—	4	1	no	—
771	#97	—	4	1	no	—
772	#97	—	4	1	no	—
773	#97	—	4	1	no	—
774	#97	C₂²×C₄	1	4	yes	—
775	C₄×C₈	—	2	2	no	—
776	C₄×C₈	—	4	1	no	—
777	C₄×C₈	—	4	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	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	—	2	1	no	—
806	#95	—	2	1	no	—
807	#95	—	2	1	no	—
808	#95	—	2	1	no	—
809	#95	—	2	1	no	—
810	#95	C₂×D₄	1	1	yes	characteristic
811	#95	C₂×D₄	1	1	yes	characteristic
812	#95	C₂×D₄	1	1	yes	characteristic
813	#95	C₂×D₄	1	1	yes	characteristic
814	#95	C₂×D₄	1	1	yes	characteristic
815	#95	C₂×D₄	1	1	yes	characteristic
816	#95	C₂×D₄	1	1	yes	characteristic
817	#95	C₂×D₄	1	1	yes	characteristic
818	#95	C₂×D₄	1	1	yes	characteristic
819	#95	C₂×D₄	1	1	yes	characteristic
820	C₂⁴	—	2	1	no	—
821	C₂⁴	—	2	1	no	—
822	C₂⁴	—	2	4	no	—
823	C₂⁴	—	8	1	no	—
824	C₂⁴	—	8	1	no	—
825	C₂⁴	—	8	1	no	—
826	C₂⁴	—	8	1	no	—
827	C₂⁴	—	8	1	no	—
828	C₂⁴	—	8	1	no	—
829	C₂⁴	C₂²×D₄	1	1	yes	characteristic
830	C₂⁴	C₂²×D₄	1	1	yes	characteristic
831	#41	—	4	4	no	—
832	#41	—	4	4	no	—
833	#41	—	8	2	no	—
834	#41	—	8	2	no	—
835	C₂×Q₈	—	2	4	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	8	1	no	—
847	C₂×Q₈	—	8	1	no	—
848	C₂×Q₈	C₂³×C₄	1	2	yes	—
849	C₂×Q₈	C₂³×C₄	1	2	yes	—
850	C₂×D₄	—	2	4	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	4	no	—
853	C₂×D₄	—	2	1	no	—
854	C₂×D₄	—	2	1	no	—
855	C₂×D₄	—	2	1	no	—
856	C₂×D₄	—	2	1	no	—
857	C₂×D₄	—	2	1	no	—
858	C₂×D₄	—	2	1	no	—
859	C₂×D₄	—	2	1	no	—
860	C₂×D₄	—	2	1	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	2	1	no	—
863	C₂×D₄	—	4	4	no	—
864	C₂×D₄	—	4	4	no	—
865	C₂×D₄	—	4	1	no	—
866	C₂×D₄	—	4	1	no	—
867	C₂×D₄	—	8	2	no	—
868	C₂×D₄	—	8	2	no	—
869	C₂×D₄	—	8	1	no	—
870	C₂×D₄	—	8	1	no	—
871	C₂×D₄	—	8	1	no	—
872	C₂×D₄	—	8	1	no	—
873	C₂×D₄	—	8	1	no	—
874	C₂×D₄	—	8	1	no	—
875	C₂×D₄	C₄×D₄	1	4	yes	—
876	C₂×D₄	C₂³×C₄	1	2	yes	—
877	C₂×D₄	C₂³×C₄	1	2	yes	—
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	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	4	no	—
894	C₂²×C₄	—	2	4	no	—
895	C₂²×C₄	—	2	4	no	—
896	C₂²×C₄	—	2	4	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	4	1	no	—
905	C₂²×C₄	—	4	1	no	—
906	C₂²×C₄	—	4	1	no	—
907	C₂²×C₄	—	4	1	no	—
908	C₂²×C₄	—	4	1	no	—
909	C₂²×C₄	—	4	1	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	1	no	—
925	C₂²×C₄	—	8	1	no	—
926	C₂²×C₄	—	8	1	no	—
927	C₂²×C₄	C₂³×C₄	1	2	yes	—
928	C₂²×C₄	C₂³×C₄	1	2	yes	—
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	C₂²×D₄	1	1	yes	characteristic
938	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
939	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
940	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
941	C₂²×C₄	C₂×#41	1	2	yes	—
942	C₂²×C₄	C₂×#41	1	2	yes	—
943	C₂²×C₄	C₂⁵	1	1	yes	characteristic
944	Q₁₆	—	4	4	no	—
945	SD₁₆	—	4	4	no	—
946	SD₁₆	—	4	4	no	—
947	M₁₆	—	4	4	no	—
948	M₁₆	—	8	2	no	—
949	M₁₆	—	8	2	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	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	4	4	no	—
971	C₂×C₈	C₂³×C₄	1	2	yes	—
972	C₂×C₈	C₂³×C₄	1	2	yes	—
973	C₂×C₈	C₂³×C₄	1	2	yes	—
974	C₂×C₈	C₂³×C₄	1	2	yes	—
975	C₄⋊C₄	—	2	4	no	—
976	C₄⋊C₄	—	2	4	no	—
977	C₄⋊C₄	—	2	4	no	—
978	C₄⋊C₄	—	2	4	no	—
979	C₄⋊C₄	—	2	4	no	—
980	C₄⋊C₄	—	2	4	no	—
981	C₄⋊C₄	—	2	4	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	—	2	1	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	1	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	4	1	no	—
1002	C₄⋊C₄	—	4	1	no	—
1003	C₄⋊C₄	—	4	1	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	2	no	—
1006	C₄⋊C₄	—	4	2	no	—
1007	C₄⋊C₄	—	4	2	no	—
1008	C₄⋊C₄	—	4	2	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	—	8	1	no	—
1017	C₄⋊C₄	—	8	1	no	—
1018	C₄⋊C₄	C₄×D₄	1	4	yes	—
1019	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1020	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1021	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1022	C₄⋊C₄	C₂³×C₄	1	2	yes	—
1023	C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
1024	C₂²⋊C₄	—	2	4	no	—
1025	C₂²⋊C₄	—	2	4	no	—
1026	C₂²⋊C₄	—	2	4	no	—
1027	C₂²⋊C₄	—	2	4	no	—
1028	C₂²⋊C₄	—	2	4	no	—
1029	C₂²⋊C₄	—	2	4	no	—
1030	C₂²⋊C₄	—	2	4	no	—
1031	C₂²⋊C₄	—	4	1	no	—
1032	C₂²⋊C₄	—	4	1	no	—
1033	C₂²⋊C₄	—	4	1	no	—
1034	C₂²⋊C₄	—	4	1	no	—
1035	C₂²⋊C₄	—	4	1	no	—
1036	C₂²⋊C₄	—	4	1	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	C₂²⋊C₄	—	8	1	no	—
1051	C₂²⋊C₄	—	8	1	no	—
1052	C₂²⋊C₄	—	8	1	no	—
1053	C₂²⋊C₄	—	8	1	no	—
1054	C₂²⋊C₄	—	8	1	no	—
1055	C₂²⋊C₄	—	8	1	no	—
1056	C₂²⋊C₄	—	8	1	no	—
1057	C₂²⋊C₄	—	8	1	no	—
1058	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1059	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1060	C₄²	—	2	4	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	2	1	no	—
1067	C₄²	—	2	1	no	—
1068	C₄²	—	2	1	no	—
1069	C₄²	—	4	1	no	—
1070	C₄²	—	4	1	no	—
1071	C₄²	—	4	2	no	—
1072	C₄²	—	4	2	no	—
1073	C₄²	—	4	2	no	—
1074	C₄²	—	4	2	no	—
1075	C₄²	—	4	2	no	—
1076	C₄²	—	4	2	no	—
1077	C₄²	—	8	1	no	—
1078	C₄²	—	8	1	no	—
1079	C₄²	—	8	1	no	—
1080	C₄²	—	8	1	no	—
1081	C₄²	—	8	1	no	—
1082	C₄²	—	8	1	no	—
1083	C₄²	—	8	1	no	—
1084	C₄²	—	8	1	no	—
1085	C₄²	—	8	1	no	—
1086	C₄²	—	8	1	no	—
1087	C₄²	—	8	1	no	—
1088	C₄²	—	8	1	no	—
1089	C₄²	—	8	1	no	—
1090	C₄²	C₂³×C₄	1	2	yes	—
1091	C₄²	C₂×#41	1	2	yes	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	1	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	4	1	no	—
1107	C₂³	—	4	1	no	—
1108	C₂³	—	4	1	no	—
1109	C₂³	—	4	1	no	—
1110	C₂³	—	4	1	no	—
1111	C₂³	—	4	1	no	—
1112	C₂³	—	4	1	no	—
1113	C₂³	—	4	1	no	—
1114	C₂³	—	4	1	no	—
1115	C₂³	—	4	1	no	—
1116	C₂³	—	4	1	no	—
1117	C₂³	—	4	1	no	—
1118	C₂³	—	8	4	no	—
1119	C₂³	—	8	4	no	—
1120	C₂³	—	8	4	no	—
1121	C₂³	—	16	2	no	—
1122	C₂³	—	16	2	no	—
1123	C₂³	—	16	2	no	—
1124	C₂³	—	16	2	no	—
1125	C₂³	C₂×C₄×D₄	1	2	yes	—
1126	C₂³	C₂×C₄×D₄	1	2	yes	—
1127	C₂³	C₂³×D₄	1	1	yes	characteristic
1128	Q₈	—	2	2	no	—
1129	Q₈	—	2	2	no	—
1130	Q₈	—	2	2	no	—
1131	Q₈	—	2	2	no	—
1132	Q₈	—	4	1	no	—
1133	Q₈	—	4	1	no	—
1134	Q₈	—	4	1	no	—
1135	Q₈	—	4	1	no	—
1136	Q₈	—	8	4	no	—
1137	D₄	—	2	2	no	—
1138	D₄	—	2	2	no	—
1139	D₄	—	2	2	no	—
1140	D₄	—	2	2	no	—
1141	D₄	—	4	4	no	—
1142	D₄	—	4	1	no	—
1143	D₄	—	4	1	no	—
1144	D₄	—	4	1	no	—
1145	D₄	—	4	1	no	—
1146	D₄	—	8	4	no	—
1147	D₄	—	8	4	no	—
1148	D₄	—	8	4	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	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	4	4	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	—	4	1	no	—
1212	C₂×C₄	—	4	1	no	—
1213	C₂×C₄	—	4	1	no	—
1214	C₂×C₄	—	4	1	no	—
1215	C₂×C₄	—	4	1	no	—
1216	C₂×C₄	—	4	1	no	—
1217	C₂×C₄	—	4	1	no	—
1218	C₂×C₄	—	4	1	no	—
1219	C₂×C₄	—	4	1	no	—
1220	C₂×C₄	—	4	1	no	—
1221	C₂×C₄	—	4	1	no	—
1222	C₂×C₄	—	4	1	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	1	no	—
1225	C₂×C₄	—	4	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	1	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	1	no	—
1232	C₂×C₄	—	8	4	no	—
1233	C₂×C₄	—	8	4	no	—
1234	C₂×C₄	—	8	4	no	—
1235	C₂×C₄	—	8	4	no	—
1236	C₂×C₄	—	8	2	no	—
1237	C₂×C₄	—	8	4	no	—
1238	C₂×C₄	—	16	2	no	—
1239	C₂×C₄	—	16	2	no	—
1240	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1241	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1242	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1243	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1244	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1245	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1246	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1247	C₂×C₄	#585	1	1	yes	characteristic
1248	C₂×C₄	#585	1	1	yes	characteristic
1249	C₂×C₄	#585	1	1	yes	characteristic
1250	C₈	—	2	2	no	—
1251	C₈	—	2	2	no	—
1252	C₈	—	2	2	no	—
1253	C₈	—	2	2	no	—
1254	C₈	—	4	1	no	—
1255	C₈	—	4	1	no	—
1256	C₈	—	4	1	no	—
1257	C₈	—	4	1	no	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	2	no	—
1273	C₂²	—	4	2	no	—
1274	C₂²	—	4	2	no	—
1275	C₂²	—	4	2	no	—
1276	C₂²	—	4	2	no	—
1277	C₂²	—	4	2	no	—
1278	C₂²	—	8	1	no	—
1279	C₂²	—	8	1	no	—
1280	C₂²	—	8	1	no	—
1281	C₂²	—	8	1	no	—
1282	C₂²	—	8	1	no	—
1283	C₂²	—	8	1	no	—
1284	C₂²	—	8	1	no	—
1285	C₂²	—	8	1	no	—
1286	C₂²	—	16	8	no	—
1287	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1288	C₂²	#3485	1	1	yes	characteristic
1289	C₂²	#3488	1	1	yes	characteristic
1290	C₂²	#3585	1	1	yes	characteristic
1291	C₂²	#3585	1	1	yes	characteristic
1292	C₂²	#3586	1	1	yes	characteristic
1293	C₂²	#3586	1	1	yes	characteristic
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	4	2	no	—
1299	C₄	—	4	2	no	—
1300	C₄	—	4	2	no	—
1301	C₄	—	4	2	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	2	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	2	no	—
1312	C₄	—	4	2	no	—
1313	C₄	—	8	1	no	—
1314	C₄	—	8	1	no	—
1315	C₄	—	8	1	no	—
1316	C₄	—	8	1	no	—
1317	C₄	—	8	1	no	—
1318	C₄	—	8	1	no	—
1319	C₄	—	8	1	no	—
1320	C₄	#3428	1	1	yes	characteristic
1321	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1322	C₄	#3514	1	1	yes	characteristic
1323	C₄	#3521	1	1	yes	characteristic
1324	C₂	—	4	2	no	—
1325	C₂	—	4	2	no	—
1326	C₂	—	8	2	no	—
1327	C₂	—	8	2	no	—
1328	C₂	#34292	1	1	yes	characteristic
1329	C₂	#60169	1	1	yes	characteristic
1330	C₂	#60176	1	1	yes	characteristic
1331	C₂	#61775	1	1	yes	characteristic
1332	C₂	#61780	1	1	yes	characteristic
1333	C₂	#62076	1	1	yes	characteristic
1334	C₂	#62085	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#546	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2290 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
3. #34299	C₂	semidirect
4. #23228	C₂	semidirect
5. #23103	C₂	semidirect
6. #23066	C₂	semidirect
7. #23035	C₂	semidirect
8. #23030	C₂	semidirect
9. #22941	C₂	semidirect
10. #22925	C₂	semidirect
11. #22884	C₂	semidirect
12. #22867	C₂	semidirect
13. #22820	C₂	semidirect
14. #22662	C₂	semidirect
15. #22579	C₂	semidirect
16. #22562	C₂	semidirect
17. #22502	C₂	semidirect
19. #22233	C₂	semidirect
20. #22192	C₂	semidirect
21. #22186	C₂	semidirect
22. #22127	C₂	semidirect
23. #22052	C₂	semidirect
24. #22048	C₂	semidirect
25. #21585	C₂	semidirect
26. #21578	C₂	semidirect
27. #21511	C₂	semidirect
28. #21128	C₂	semidirect
29. #21065	C₂	semidirect
30. #21059	C₂	semidirect
31. #20564	C₂	semidirect
34. #3314	C₄	semidirect
44. C₂×#441	C₂²	semidirect
49. C₂×#428	C₂²	semidirect
61. #2365	C₂²	semidirect
66. #2360	C₂²	semidirect
67. #2356	C₂²	semidirect
72. #2345	C₂²	semidirect
80. #2331	C₂²	semidirect
90. C₄×C₂²⋊Q₈	C₂²	semidirect
95. #2276	C₂²	semidirect
97. C₂×C₄×C₄⋊C₄	C₂²	semidirect
98. #1990	C₂²	semidirect
99. #1987	C₂²	semidirect
103. #1971	C₂²	semidirect
106. #1949	C₂²	semidirect
107. #1948	C₂²	semidirect
108. #1943	C₂²	semidirect
109. #1942	C₂²	semidirect
113. #1935	C₂²	semidirect
116. #1928	C₂²	semidirect
117. #1928	C₂²	semidirect
118. #1928	C₂²	semidirect
119. #1928	C₂²	semidirect
120. #1927	C₂²	semidirect
121. #1927	C₂²	semidirect
122. #1927	C₂²	semidirect
136. #1921	C₂²	semidirect
137. #1921	C₂²	semidirect
138. #1921	C₂²	semidirect
139. #1921	C₂²	semidirect
140. #1918	C₂²	semidirect
141. #1918	C₂²	semidirect
145. #1894	C₂²	semidirect
149. #1878	C₂²	semidirect
150. #1878	C₂²	semidirect
155. #1873	C₂²	semidirect
156. #1865	C₂²	semidirect
157. #1865	C₂²	semidirect
158. #1865	C₂²	semidirect
161. #1863	C₂²	semidirect
162. #1863	C₂²	semidirect
166. #1854	C₂²	semidirect
167. #1853	C₂²	semidirect
168. #1847	C₂²	semidirect
170. #1823	C₂²	semidirect
171. #1809	C₂²	semidirect
174. #1803	C₂²	semidirect
177. #1776	C₂²	semidirect
178. #1776	C₂²	semidirect
179. #1776	C₂²	semidirect
180. #1776	C₂²	semidirect
181. C₄×#107	C₂²	semidirect
182. #1771	C₂²	semidirect
183. #1770	C₂²	semidirect
184. #1768	C₂²	semidirect
185. #1763	C₂²	semidirect
189. C₄×#103	C₂²	semidirect
190. C₄×#103	C₂²	semidirect
191. C₄×#103	C₂²	semidirect
194. #1753	C₂²	semidirect
195. #1753	C₂²	semidirect
198. #1749	C₂²	semidirect
199. #1746	C₂²	semidirect
201. #1736	C₂²	semidirect
203. #1728	C₂²	semidirect
214. #554	C₂×C₄	semidirect
254. #489	C₂×C₄	semidirect
255. #484	C₂×C₄	semidirect
257. #474	C₂×C₄	semidirect
259. #467	C₂×C₄	semidirect
260. #464	C₂×C₄	semidirect
261. #452	C₂×C₄	semidirect
262. #450	C₂×C₄	semidirect
264. #440	C₂×C₄	semidirect
267. #435	C₂×C₄	semidirect
287. #417	C₂×C₄	semidirect
300. C₂×#102	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3314	2
#34478	2
#34299	2
#23228	2
#23103	2
#23066	2
#23035	2
#23030	2
#22941	2
#22925	2
#22884	2
#22867	2
#22820	2
#22662	2
#22579	2
#22562	2
#22502	2
#22427	2
#22233	2
#22192	2
#22186	2
#22127	2
#22052	2
#22048	2
#21585	2
#21578	2
#21511	2
#21128	2
#21065	2
#21059	2
#20564	2