Subgroups — #6380974

Order 512.

1935 conjugacy classes of subgroups.

The subgroup lattice has 1221 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2950	C₂	1	1	yes	maximal, characteristic
2	#34262	C₂	1	1	yes	maximal, characteristic
3	#34262	C₂	1	1	yes	maximal, characteristic
4	#22818	C₂	1	1	yes	maximal, characteristic, complemented
5	#22818	C₂	1	1	yes	maximal, characteristic, complemented
6	#22771	C₂	1	1	yes	maximal, characteristic, complemented
7	#22769	C₂	1	1	yes	maximal, characteristic, complemented
8	#22763	C₂	1	1	yes	maximal, characteristic, complemented
9	#22761	C₂	1	1	yes	maximal, characteristic, complemented
10	#22679	C₂	1	1	yes	maximal, characteristic, complemented
11	#22679	C₂	1	1	yes	maximal, characteristic, complemented
12	#22616	C₂	1	1	yes	maximal, characteristic
13	#22610	C₂	1	1	yes	maximal, characteristic
14	#22585	C₂	1	1	yes	maximal, characteristic
15	#22585	C₂	1	1	yes	maximal, characteristic
16	#22581	C₂	1	1	yes	maximal, characteristic
17	#22581	C₂	1	1	yes	maximal, characteristic
18	C₂²⋊C₄×Q₁₆	C₂	1	1	yes	maximal, characteristic
19	#22440	C₂	1	1	yes	maximal, characteristic
20	#21289	C₂	1	1	yes	maximal, characteristic, complemented
21	#21287	C₂	1	1	yes	maximal, characteristic, complemented
22	#21135	C₂	1	1	yes	maximal, characteristic, complemented
23	#21132	C₂	1	1	yes	maximal, characteristic, complemented
24	#21119	C₂	1	1	yes	maximal, characteristic, complemented
25	#21116	C₂	1	1	yes	maximal, characteristic, complemented
26	#20822	C₂	1	1	yes	maximal, characteristic
27	#20745	C₂	1	1	yes	maximal, characteristic
28	#20745	C₂	1	1	yes	maximal, characteristic
29	#20505	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#441	C₂	1	1	yes	maximal, characteristic, complemented
31	#20478	C₂	1	1	yes	maximal, characteristic
32	C₂³×Q₁₆	C₂²	1	1	yes	characteristic
33	C₂×#519	C₂²	1	1	yes	characteristic
34	C₂×#519	C₂²	1	1	yes	characteristic
35	#2950	C₄	1	16	yes	complemented
36	C₂×#441	C₂²	1	1	yes	characteristic
37	C₂×#441	C₂²	1	1	yes	characteristic
38	C₂×#441	C₂²	1	1	yes	characteristic
39	C₂×#441	C₂²	1	1	yes	characteristic
40	C₂×#441	C₂²	1	1	yes	characteristic
41	C₂×#441	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
46	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
47	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
48	C₂×#433	C₂²	1	1	yes	characteristic
49	C₂×#427	C₂²	1	1	yes	characteristic
50	C₂×#419	C₂²	1	1	yes	characteristic
51	C₂×#419	C₂²	1	1	yes	characteristic
52	C₂×#405	C₂²	1	1	yes	characteristic
53	#2356	—	2	1	no	—
54	#2356	—	2	1	no	—
55	#2356	C₂²	1	1	yes	characteristic
56	#2356	C₂²	1	1	yes	characteristic
57	#2355	—	2	1	no	—
58	#2355	—	2	1	no	—
59	#2355	C₂²	1	1	yes	characteristic
60	#2355	C₂²	1	1	yes	characteristic
61	#2351	C₂²	1	1	yes	characteristic
62	#2351	C₂²	1	1	yes	characteristic
63	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	#2347	—	2	1	no	—
66	#2347	—	2	1	no	—
67	#2347	C₂²	1	1	yes	characteristic
68	#2347	C₂²	1	1	yes	characteristic
69	#2346	—	2	1	no	—
70	#2346	—	2	1	no	—
71	#2346	C₂²	1	1	yes	characteristic
72	#2346	C₂²	1	1	yes	characteristic
73	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
77	#2320	—	2	1	no	—
78	#2320	—	2	1	no	—
79	#2320	C₂²	1	1	yes	characteristic
80	#2320	C₂²	1	1	yes	characteristic
81	#2314	—	2	1	no	—
82	#2314	—	2	1	no	—
83	#2314	C₂²	1	1	yes	characteristic
84	#2314	C₂²	1	1	yes	characteristic
85	#2298	—	2	1	no	—
86	#2298	—	2	1	no	—
87	#2298	C₂²	1	1	yes	characteristic
88	#2295	—	2	1	no	—
89	#2295	—	2	1	no	—
90	#2295	C₂²	1	1	yes	characteristic
91	#2295	C₂²	1	1	yes	characteristic
92	#2276	C₂²	1	1	yes	characteristic
93	#2276	C₂²	1	1	yes	characteristic
94	C₄²×Q₈	C₂²	1	1	yes	characteristic
95	C₄²×Q₈	C₂²	1	1	yes	characteristic
96	#1971	C₂²	1	1	yes	characteristic
97	#1971	C₂²	1	1	yes	characteristic
98	#1969	C₂²	1	1	yes	characteristic
99	#1969	C₂²	1	1	yes	characteristic
100	#1944	C₂²	1	1	yes	characteristic
101	#1944	C₂²	1	1	yes	characteristic
102	#1941	C₂²	1	1	yes	characteristic
103	#1941	C₂²	1	1	yes	characteristic
104	#1935	C₂²	1	1	yes	characteristic
105	#1935	C₂²	1	1	yes	characteristic
106	#1935	C₂²	1	1	yes	characteristic
107	#1935	C₂²	1	1	yes	characteristic
108	#1933	C₂²	1	1	yes	characteristic
109	#1933	C₂²	1	1	yes	characteristic
110	#1933	C₂²	1	1	yes	characteristic
111	#1933	C₂²	1	1	yes	characteristic
112	#1928	C₂²	1	1	yes	characteristic
113	#1928	C₂²	1	1	yes	characteristic
114	#1928	C₂²	1	1	yes	characteristic
115	#1928	C₂²	1	1	yes	characteristic
116	#1927	C₂²	1	1	yes	characteristic
117	#1927	C₂²	1	1	yes	characteristic
118	#1927	C₂²	1	1	yes	characteristic
119	#1927	C₂²	1	1	yes	characteristic
120	#1921	C₂²	1	1	yes	characteristic
121	#1921	C₂²	1	1	yes	characteristic
122	#1921	C₂²	1	1	yes	characteristic
123	#1921	C₂²	1	1	yes	characteristic
124	#1918	C₂²	1	1	yes	characteristic
125	#1918	C₂²	1	1	yes	characteristic
126	#1918	C₂²	1	1	yes	characteristic
127	#1918	C₂²	1	1	yes	characteristic
128	#1878	C₂²	1	1	yes	characteristic
129	#1878	C₂²	1	1	yes	characteristic
130	#1878	C₂²	1	1	yes	characteristic
131	#1878	C₂²	1	1	yes	characteristic
132	#1878	C₂²	1	1	yes	characteristic
133	#1878	C₂²	1	1	yes	characteristic
134	#1878	C₂²	1	1	yes	characteristic
135	#1878	C₂²	1	1	yes	characteristic
136	#1865	C₂²	1	1	yes	characteristic
137	#1865	C₂²	1	1	yes	characteristic
138	#1865	C₂²	1	1	yes	characteristic
139	#1865	C₂²	1	1	yes	characteristic
140	#1863	C₂²	1	1	yes	characteristic
141	#1863	C₂²	1	1	yes	characteristic
142	#1863	C₂²	1	1	yes	characteristic
143	#1863	C₂²	1	1	yes	characteristic
144	#1847	C₂²	1	1	yes	characteristic
145	#1847	C₂²	1	1	yes	characteristic
146	#1835	C₂²	1	1	yes	characteristic
147	#1834	C₂²	1	1	yes	characteristic
148	#1825	C₂²	1	1	yes	characteristic
149	#1825	C₂²	1	1	yes	characteristic
150	#1825	C₂²	1	1	yes	characteristic
151	#1825	C₂²	1	1	yes	characteristic
152	#1809	C₂²	1	1	yes	characteristic
153	#1809	C₂²	1	1	yes	characteristic
154	#1808	C₂²	1	1	yes	characteristic
155	#1807	C₂²	1	1	yes	characteristic
156	#1805	C₂²	1	1	yes	characteristic
157	#1805	C₂²	1	1	yes	characteristic
158	#1805	C₂²	1	1	yes	characteristic
159	#1805	C₂²	1	1	yes	characteristic
160	#1803	C₂²	1	1	yes	characteristic
161	#1803	C₂²	1	1	yes	characteristic
162	#1803	C₂²	1	1	yes	characteristic
163	#1803	C₂²	1	1	yes	characteristic
164	#1787	C₂²	1	1	yes	characteristic
165	#1787	C₂²	1	1	yes	characteristic
166	#1787	C₂²	1	1	yes	characteristic
167	#1787	C₂²	1	1	yes	characteristic
168	#1776	C₂²	1	1	yes	characteristic
169	#1776	C₂²	1	1	yes	characteristic
170	#1776	C₂²	1	1	yes	characteristic
171	#1776	C₂²	1	1	yes	characteristic
172	C₄×#107	C₂²	1	1	yes	characteristic
173	C₄×#106	C₂²	1	1	yes	characteristic
174	C₄×#106	C₂²	1	1	yes	characteristic
175	C₄×#106	C₂²	1	1	yes	characteristic
176	#1771	C₂²	1	1	yes	characteristic
177	#1771	C₂²	1	1	yes	characteristic
178	#1770	C₂²	1	1	yes	characteristic
179	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
180	#1763	C₂²	1	1	yes	characteristic
181	#1763	C₂²	1	1	yes	characteristic
182	#1763	C₂²	1	1	yes	characteristic
183	#1763	C₂²	1	1	yes	characteristic
184	#1763	C₂²	1	1	yes	characteristic
185	#1763	C₂²	1	1	yes	characteristic
186	#1763	C₂²	1	1	yes	characteristic
187	#1763	C₂²	1	1	yes	characteristic
188	C₄×#103	C₂²	1	1	yes	characteristic
189	C₄×#103	C₂²	1	1	yes	characteristic
190	C₄×#103	C₂²	1	1	yes	characteristic
191	C₄×#103	C₂²	1	1	yes	characteristic
192	C₄×#103	C₂²	1	1	yes	characteristic
193	C₄×#103	C₂²	1	1	yes	characteristic
194	C₄×#103	C₂²	1	1	yes	characteristic
195	C₄×#103	C₂²	1	1	yes	characteristic
196	#1753	C₂²	1	1	yes	characteristic
197	#1753	C₂²	1	1	yes	characteristic
198	#1752	C₂²	1	1	yes	characteristic
199	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
200	#1746	C₂²	1	1	yes	characteristic
201	#1744	C₂²	1	1	yes	characteristic
202	#1726	C₂²	1	1	yes	characteristic
203	C₄×#97	C₂²	1	1	yes	characteristic
204	C₂³×Q₈	C₂³	1	1	yes	characteristic
205	C₂³×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	—	2	4	no	—
207	C₂²×Q₁₆	—	2	4	no	—
208	C₂²×Q₁₆	C₂×C₄	1	8	yes	—
209	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	#519	—	2	4	no	—
216	#519	—	2	4	no	—
217	#519	C₂×C₄	1	8	yes	—
218	#519	C₂×C₄	1	8	yes	—
219	C₂×C₄×Q₈	—	2	1	no	—
220	C₂×C₄×Q₈	—	2	1	no	—
221	C₂×C₄×Q₈	—	2	1	no	—
222	C₂×C₄×Q₈	—	2	1	no	—
223	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
228	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
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×Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
238	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
239	C₂×#117	—	2	1	no	—
240	C₂×#117	—	2	1	no	—
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	#441	—	2	4	no	—
247	#441	—	2	4	no	—
248	#441	C₂×C₄	1	8	yes	—
249	#441	C₂×C₄	1	8	yes	—
250	#441	C₂×C₄	1	8	yes	—
251	#441	C₂×C₄	1	8	yes	—
252	C₄×Q₁₆	—	2	4	no	—
253	C₄×Q₁₆	—	2	4	no	—
254	C₄×Q₁₆	C₂×C₄	1	8	yes	—
255	C₄×Q₁₆	C₂×C₄	1	8	yes	—
256	C₄×Q₁₆	C₂×C₄	1	8	yes	—
257	C₄×Q₁₆	C₂×C₄	1	8	yes	—
258	#433	—	2	4	no	—
259	#427	C₂×C₄	1	8	yes	—
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×#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×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	#419	C₂×C₄	1	8	yes	—
275	#419	C₂×C₄	1	8	yes	—
276	C₂×#103	C₂³	1	1	yes	characteristic
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×#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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	#405	C₂×C₄	1	8	yes	—
303	C₂×#97	C₂³	1	1	yes	characteristic
304	C₂×#97	C₂³	1	1	yes	characteristic
305	C₂×#97	C₂³	1	1	yes	characteristic
306	C₂×#97	C₂³	1	1	yes	characteristic
307	C₂×#97	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	C₂³	1	1	yes	characteristic
310	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄×C₈	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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	#391	—	2	1	no	—
318	#391	—	2	1	no	—
319	#391	—	2	1	no	—
320	#391	—	2	1	no	—
321	#391	—	2	1	no	—
322	#391	—	2	1	no	—
323	#391	—	2	1	no	—
324	#391	—	2	1	no	—
325	#391	C₂³	1	1	yes	characteristic
326	#391	C₂³	1	1	yes	characteristic
327	#391	C₂³	1	1	yes	characteristic
328	#391	C₂³	1	1	yes	characteristic
329	#391	C₂³	1	1	yes	characteristic
330	#391	C₂³	1	1	yes	characteristic
331	#391	C₂³	1	1	yes	characteristic
332	#391	C₂³	1	1	yes	characteristic
333	#389	—	2	1	no	—
334	#389	—	2	1	no	—
335	#389	—	2	1	no	—
336	#389	—	2	1	no	—
337	#389	—	2	1	no	—
338	#389	—	2	1	no	—
339	#389	—	2	1	no	—
340	#389	—	2	1	no	—
341	#389	C₂³	1	1	yes	characteristic
342	#389	C₂³	1	1	yes	characteristic
343	#389	C₂³	1	1	yes	characteristic
344	#389	C₂³	1	1	yes	characteristic
345	#389	C₂³	1	1	yes	characteristic
346	#389	C₂³	1	1	yes	characteristic
347	#389	C₂³	1	1	yes	characteristic
348	#389	C₂³	1	1	yes	characteristic
349	#388	—	2	1	no	—
350	#388	—	2	1	no	—
351	#388	—	2	1	no	—
352	#388	—	2	1	no	—
353	#388	—	2	1	no	—
354	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
362	#388	D₄	1	1	yes	characteristic
363	#388	D₄	1	1	yes	characteristic
364	#388	D₄	1	1	yes	characteristic
365	#387	—	2	1	no	—
366	#387	—	2	1	no	—
367	#387	—	2	1	no	—
368	#387	—	2	1	no	—
369	#387	—	2	1	no	—
370	#387	—	2	1	no	—
371	#387	—	2	1	no	—
372	#387	—	2	1	no	—
373	#387	—	2	1	no	—
374	#387	—	2	1	no	—
375	#387	—	2	1	no	—
376	#387	—	2	1	no	—
377	#387	—	2	1	no	—
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	D₄	1	1	yes	characteristic
386	#387	D₄	1	1	yes	characteristic
387	#387	D₄	1	1	yes	characteristic
388	#387	D₄	1	1	yes	characteristic
389	#384	—	2	1	no	—
390	#384	—	2	1	no	—
391	#384	C₂³	1	1	yes	characteristic
392	#384	C₂³	1	1	yes	characteristic
393	#383	—	2	1	no	—
394	#383	—	2	1	no	—
395	#383	—	2	1	no	—
396	#383	—	2	1	no	—
397	#383	—	2	1	no	—
398	#383	—	2	1	no	—
399	#382	—	2	1	no	—
400	#382	—	2	1	no	—
401	#382	—	2	1	no	—
402	#382	—	2	1	no	—
403	#382	—	2	1	no	—
404	#382	—	2	1	no	—
405	#382	—	2	1	no	—
406	#382	—	2	1	no	—
407	#382	C₂³	1	1	yes	characteristic
408	#382	C₂³	1	1	yes	characteristic
409	#380	—	2	1	no	—
410	#380	—	2	1	no	—
411	#380	—	2	1	no	—
412	#380	—	2	1	no	—
413	#380	C₂³	1	1	yes	characteristic
414	#380	C₂³	1	1	yes	characteristic
415	#380	C₂³	1	1	yes	characteristic
416	#380	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	—	2	1	no	—
418	C₄×C₄⋊C₄	—	2	1	no	—
419	C₄×C₄⋊C₄	—	2	1	no	—
420	C₄×C₄⋊C₄	—	2	1	no	—
421	C₄×C₄⋊C₄	—	2	1	no	—
422	C₄×C₄⋊C₄	—	2	1	no	—
423	C₄×C₄⋊C₄	—	2	1	no	—
424	C₄×C₄⋊C₄	—	2	1	no	—
425	C₄×C₄⋊C₄	—	2	1	no	—
426	C₄×C₄⋊C₄	—	2	1	no	—
427	C₄×C₄⋊C₄	—	2	1	no	—
428	C₄×C₄⋊C₄	—	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	C₂³	1	1	yes	characteristic
440	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×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	C₂³	1	1	yes	characteristic
458	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	#376	—	2	1	no	—
460	#376	—	2	1	no	—
461	#376	—	2	1	no	—
462	#376	—	2	1	no	—
463	#376	—	2	1	no	—
464	#376	—	2	1	no	—
465	#376	—	2	1	no	—
466	#376	—	2	1	no	—
467	#376	C₂³	1	1	yes	characteristic
468	C₄³	—	2	1	no	—
469	C₄³	—	2	1	no	—
470	C₄³	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	#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	#340	C₂³	1	1	yes	characteristic
494	#340	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	C₂²×Q₈	—	2	1	no	—
504	C₂²×Q₈	—	2	1	no	—
505	C₂²×Q₈	—	2	2	no	—
506	C₂²×Q₈	—	2	2	no	—
507	C₂²×Q₈	—	2	2	no	—
508	C₂²×Q₈	—	2	2	no	—
509	C₂²×Q₈	—	2	2	no	—
510	C₂²×Q₈	—	2	2	no	—
511	C₂²×Q₈	—	4	1	no	—
512	C₂²×Q₈	—	4	1	no	—
513	C₂²×Q₈	—	4	1	no	—
514	C₂²×Q₈	—	4	1	no	—
515	C₂²×Q₈	C₂²×C₄	1	4	yes	—
516	C₂²×Q₈	C₂²×C₄	1	4	yes	—
517	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂³×C₄	—	2	1	no	—
522	C₂³×C₄	—	2	1	no	—
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂×Q₁₆	—	2	2	no	—
525	C₂×Q₁₆	—	2	2	no	—
526	C₂×Q₁₆	—	2	2	no	—
527	C₂×Q₁₆	—	2	2	no	—
528	C₂×Q₁₆	—	2	32	no	—
529	C₂×Q₁₆	—	2	2	no	—
530	C₂×Q₁₆	—	2	2	no	—
531	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
532	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
533	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
534	C₂×Q₁₆	C₂²×C₄	1	4	yes	—
535	C₂×Q₁₆	#41	1	4	yes	—
536	C₂×Q₁₆	#41	1	4	yes	—
537	C₂×M₁₆	—	4	1	no	—
538	C₂×M₁₆	—	4	1	no	—
539	C₂×M₁₆	C₂²×C₄	1	4	yes	—
540	C₂²×C₈	—	2	2	no	—
541	C₂²×C₈	—	2	2	no	—
542	C₂²×C₈	C₂²×C₄	1	4	yes	—
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₂²×C₈	C₂⁴	1	1	yes	characteristic
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₄×Q₈	—	2	8	no	—
552	C₄×Q₈	—	2	8	no	—
553	C₄×Q₈	—	2	8	no	—
554	C₄×Q₈	—	2	8	no	—
555	C₄×Q₈	—	2	2	no	—
556	C₄×Q₈	—	2	2	no	—
557	C₄×Q₈	—	2	2	no	—
558	C₄×Q₈	—	2	2	no	—
559	C₄×Q₈	—	2	2	no	—
560	C₄×Q₈	—	2	2	no	—
561	C₄×Q₈	—	2	2	no	—
562	C₄×Q₈	—	2	2	no	—
563	C₄×Q₈	—	2	2	no	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	2	2	no	—
566	C₄×Q₈	—	2	2	no	—
567	C₄×Q₈	—	2	2	no	—
568	C₄×Q₈	—	2	2	no	—
569	C₄×Q₈	—	2	2	no	—
570	C₄×Q₈	—	2	2	no	—
571	C₄×Q₈	—	4	1	no	—
572	C₄×Q₈	—	4	1	no	—
573	C₄×Q₈	—	4	1	no	—
574	C₄×Q₈	—	4	1	no	—
575	C₄×Q₈	—	4	1	no	—
576	C₄×Q₈	—	4	1	no	—
577	C₄×Q₈	—	4	1	no	—
578	C₄×Q₈	—	4	1	no	—
579	C₄×Q₈	C₂²×C₄	1	4	yes	—
580	C₄×Q₈	C₂²×C₄	1	4	yes	—
581	C₄×Q₈	C₂²×C₄	1	4	yes	—
582	C₄×Q₈	C₂²×C₄	1	4	yes	—
583	C₄×Q₈	C₂²×C₄	1	4	yes	—
584	C₄×Q₈	C₂²×C₄	1	4	yes	—
585	C₄×Q₈	C₂²×C₄	1	4	yes	—
586	C₄×Q₈	C₂²×C₄	1	4	yes	—
587	#117	—	2	2	no	—
588	#117	—	2	2	no	—
589	#117	—	2	8	no	—
590	#117	—	2	8	no	—
591	#117	—	2	8	no	—
592	#117	—	2	8	no	—
593	#117	C₂²×C₄	1	4	yes	—
594	#117	C₂²×C₄	1	4	yes	—
595	#117	C₂²×C₄	1	4	yes	—
596	#117	#41	1	4	yes	—
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	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄²	—	2	1	no	—
656	C₂×C₄²	—	2	1	no	—
657	C₂×C₄²	—	2	1	no	—
658	C₂×C₄²	—	2	1	no	—
659	C₂×C₄²	—	2	1	no	—
660	C₂×C₄²	—	2	1	no	—
661	C₂×C₄²	—	2	1	no	—
662	C₂×C₄²	—	2	1	no	—
663	C₂×C₄²	—	2	1	no	—
664	C₂×C₄²	—	2	1	no	—
665	C₂×C₄²	—	2	1	no	—
666	C₂×C₄²	—	2	1	no	—
667	C₂×C₄²	—	2	1	no	—
668	C₂×C₄²	—	2	1	no	—
669	C₂×C₄²	—	2	1	no	—
670	C₂×C₄²	—	2	1	no	—
671	C₂×C₄²	—	2	1	no	—
672	C₂×C₄²	—	2	1	no	—
673	C₂×C₄²	—	2	1	no	—
674	C₂×C₄²	—	2	1	no	—
675	C₂×C₄²	—	2	1	no	—
676	C₂×C₄²	—	2	1	no	—
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	—	2	1	no	—
683	C₂×C₄²	—	2	1	no	—
684	C₂×C₄²	—	2	1	no	—
685	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
686	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
687	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
688	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
689	C₂×C₄²	C₂⁴	1	1	yes	characteristic
690	C₂×C₄²	C₂⁴	1	1	yes	characteristic
691	C₂×C₄²	C₂⁴	1	1	yes	characteristic
692	C₂×C₄²	C₂⁴	1	1	yes	characteristic
693	C₂×C₄²	C₂⁴	1	1	yes	characteristic
694	C₂×C₄²	C₂⁴	1	1	yes	characteristic
695	#107	—	2	2	no	—
696	#107	—	2	2	no	—
697	#107	—	4	1	no	—
698	#107	—	4	1	no	—
699	#107	C₂²×C₄	1	4	yes	—
700	#107	C₂²×C₄	1	4	yes	—
701	#106	—	2	2	no	—
702	#106	—	2	2	no	—
703	#106	—	4	1	no	—
704	#106	—	4	1	no	—
705	#106	C₂²×C₄	1	4	yes	—
706	#106	C₂²×C₄	1	4	yes	—
707	C₄⋊C₈	—	2	2	no	—
708	C₄⋊C₈	—	2	2	no	—
709	#103	—	2	2	no	—
710	#103	—	2	2	no	—
711	#103	—	2	2	no	—
712	#103	—	2	2	no	—
713	#103	—	2	2	no	—
714	#103	—	2	2	no	—
715	#103	—	2	2	no	—
716	#103	—	2	2	no	—
717	#103	—	4	1	no	—
718	#103	—	4	1	no	—
719	#103	—	4	1	no	—
720	#103	—	4	1	no	—
721	#103	—	4	1	no	—
722	#103	—	4	1	no	—
723	#103	—	4	1	no	—
724	#103	—	4	1	no	—
725	#103	C₂²×C₄	1	4	yes	—
726	#103	C₂²×C₄	1	4	yes	—
727	#103	C₂²×C₄	1	4	yes	—
728	#103	C₂²×C₄	1	4	yes	—
729	#103	C₂²×C₄	1	4	yes	—
730	#103	C₂²×C₄	1	4	yes	—
731	#103	C₂²×C₄	1	4	yes	—
732	#103	C₂²×C₄	1	4	yes	—
733	C₂²⋊C₈	—	2	2	no	—
734	C₂²⋊C₈	—	2	2	no	—
735	#97	—	2	2	no	—
736	#97	—	2	2	no	—
737	#97	—	2	2	no	—
738	#97	—	4	1	no	—
739	#97	—	4	1	no	—
740	#97	C₂²×C₄	1	4	yes	—
741	#97	C₂²×C₄	1	4	yes	—
742	C₄×C₈	—	2	2	no	—
743	C₄×C₈	—	2	2	no	—
744	C₄×C₈	—	2	2	no	—
745	C₄×C₈	—	4	1	no	—
746	C₄×C₈	—	4	1	no	—
747	C₄×C₈	C₂²×C₄	1	4	yes	—
748	C₄×C₈	C₂²×C₄	1	4	yes	—
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	—	2	1	no	—
792	#95	—	2	1	no	—
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	#95	C₂×D₄	1	1	yes	characteristic
802	#95	C₂×D₄	1	1	yes	characteristic
803	#95	C₂×D₄	1	1	yes	characteristic
804	#95	C₂×D₄	1	1	yes	characteristic
805	C₂⁴	C₂²×D₄	1	1	yes	characteristic
806	C₂×Q₈	—	2	4	no	—
807	C₂×Q₈	—	2	4	no	—
808	C₂×Q₈	—	2	1	no	—
809	C₂×Q₈	—	2	1	no	—
810	C₂×Q₈	—	2	1	no	—
811	C₂×Q₈	—	2	1	no	—
812	C₂×Q₈	—	2	1	no	—
813	C₂×Q₈	—	2	1	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	8	no	—
817	C₂×Q₈	—	2	8	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	—	4	2	no	—
827	C₂×Q₈	—	4	2	no	—
828	C₂×Q₈	—	4	2	no	—
829	C₂×Q₈	—	4	2	no	—
830	C₂×Q₈	—	4	4	no	—
831	C₂×Q₈	—	4	4	no	—
832	C₂×Q₈	—	4	4	no	—
833	C₂×Q₈	—	4	4	no	—
834	C₂×Q₈	—	4	4	no	—
835	C₂×Q₈	—	4	4	no	—
836	C₂×Q₈	C₂³×C₄	1	2	yes	—
837	C₂×Q₈	C₂³×C₄	1	2	yes	—
838	C₂×Q₈	C₂³×C₄	1	2	yes	—
839	C₂×Q₈	C₂³×C₄	1	2	yes	—
840	C₂×Q₈	C₂×#41	1	2	yes	—
841	C₂×Q₈	C₂×#41	1	2	yes	—
842	C₂×Q₈	C₂×#41	1	2	yes	—
843	C₂×Q₈	C₂×#41	1	2	yes	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	1	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	4	no	—
851	C₂²×C₄	—	2	4	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	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	—	4	2	no	—
867	C₂²×C₄	—	4	2	no	—
868	C₂²×C₄	—	4	2	no	—
869	C₂²×C₄	—	4	2	no	—
870	C₂²×C₄	C₂³×C₄	1	2	yes	—
871	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
872	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
873	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
874	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
875	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
876	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
877	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
878	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
879	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
880	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
881	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
882	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
883	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
884	C₂²×C₄	C₂×#41	1	2	yes	—
885	C₂²×C₄	C₂⁵	1	1	yes	characteristic
886	Q₁₆	—	2	8	no	—
887	Q₁₆	—	2	8	no	—
888	Q₁₆	—	2	8	no	—
889	Q₁₆	#117	1	16	yes	—
890	M₁₆	—	4	4	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	8	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	C₂³×C₄	1	2	yes	—
911	C₂×C₈	C₂³×C₄	1	2	yes	—
912	C₂×C₈	C₂³×C₄	1	2	yes	—
913	C₂×C₈	C₂³×C₄	1	2	yes	—
914	C₂×C₈	C₂×#41	1	2	yes	—
915	C₂×C₈	C₂×#41	1	2	yes	—
916	C₄⋊C₄	—	2	4	no	—
917	C₄⋊C₄	—	2	4	no	—
918	C₄⋊C₄	—	2	4	no	—
919	C₄⋊C₄	—	2	4	no	—
920	C₄⋊C₄	—	2	4	no	—
921	C₄⋊C₄	—	2	4	no	—
922	C₄⋊C₄	—	2	4	no	—
923	C₄⋊C₄	—	2	4	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	4	1	no	—
946	C₄⋊C₄	—	4	1	no	—
947	C₄⋊C₄	—	4	1	no	—
948	C₄⋊C₄	—	4	2	no	—
949	C₄⋊C₄	—	4	2	no	—
950	C₄⋊C₄	—	4	2	no	—
951	C₄⋊C₄	—	4	2	no	—
952	C₄⋊C₄	—	4	2	no	—
953	C₄⋊C₄	—	4	2	no	—
954	C₄⋊C₄	—	4	2	no	—
955	C₄⋊C₄	—	4	2	no	—
956	C₄⋊C₄	—	4	2	no	—
957	C₄⋊C₄	—	4	2	no	—
958	C₄⋊C₄	—	8	1	no	—
959	C₄⋊C₄	—	8	1	no	—
960	C₄⋊C₄	—	8	1	no	—
961	C₄⋊C₄	—	8	1	no	—
962	C₄⋊C₄	—	8	1	no	—
963	C₄⋊C₄	—	8	1	no	—
964	C₄⋊C₄	—	8	1	no	—
965	C₄⋊C₄	—	8	1	no	—
966	C₄⋊C₄	—	8	1	no	—
967	C₄⋊C₄	—	8	1	no	—
968	C₄⋊C₄	C₄×D₄	1	4	yes	—
969	C₄⋊C₄	C₄×D₄	1	4	yes	—
970	C₄⋊C₄	C₂³×C₄	1	2	yes	—
971	C₄⋊C₄	C₂³×C₄	1	2	yes	—
972	C₄⋊C₄	C₂³×C₄	1	2	yes	—
973	C₄⋊C₄	C₂³×C₄	1	2	yes	—
974	C₂²⋊C₄	—	2	4	no	—
975	C₂²⋊C₄	—	2	4	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	4	1	no	—
978	C₂²⋊C₄	—	4	1	no	—
979	C₂²⋊C₄	—	4	1	no	—
980	C₂²⋊C₄	—	8	1	no	—
981	C₂²⋊C₄	—	8	1	no	—
982	C₂²⋊C₄	—	8	1	no	—
983	C₂²⋊C₄	—	8	1	no	—
984	C₂²⋊C₄	C₄×D₄	1	4	yes	—
985	C₂²⋊C₄	C₄×D₄	1	4	yes	—
986	C₄²	—	2	4	no	—
987	C₄²	—	2	4	no	—
988	C₄²	—	2	4	no	—
989	C₄²	—	2	4	no	—
990	C₄²	—	2	4	no	—
991	C₄²	—	2	4	no	—
992	C₄²	—	2	4	no	—
993	C₄²	—	2	4	no	—
994	C₄²	—	2	4	no	—
995	C₄²	—	2	4	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	4	1	no	—
1006	C₄²	—	4	1	no	—
1007	C₄²	—	4	1	no	—
1008	C₄²	—	4	2	no	—
1009	C₄²	—	4	2	no	—
1010	C₄²	—	4	2	no	—
1011	C₄²	—	4	2	no	—
1012	C₄²	—	4	2	no	—
1013	C₄²	—	4	2	no	—
1014	C₄²	—	4	2	no	—
1015	C₄²	—	4	2	no	—
1016	C₄²	—	4	2	no	—
1017	C₄²	—	4	2	no	—
1018	C₄²	—	8	1	no	—
1019	C₄²	—	8	1	no	—
1020	C₄²	—	8	1	no	—
1021	C₄²	—	8	1	no	—
1022	C₄²	—	8	1	no	—
1023	C₄²	—	8	1	no	—
1024	C₄²	—	8	1	no	—
1025	C₄²	—	8	1	no	—
1026	C₄²	—	8	1	no	—
1027	C₄²	—	8	1	no	—
1028	C₄²	C₂³×C₄	1	2	yes	—
1029	C₄²	C₂³×C₄	1	2	yes	—
1030	C₄²	C₂×#41	1	2	yes	—
1031	C₄²	C₂×#41	1	2	yes	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	1	no	—
1038	C₂³	C₂×C₄×D₄	1	2	yes	—
1039	C₂³	C₂³×D₄	1	1	yes	characteristic
1040	Q₈	—	2	2	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	2	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	2	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	4	8	no	—
1051	Q₈	—	4	8	no	—
1052	Q₈	—	4	1	no	—
1053	Q₈	—	4	1	no	—
1054	Q₈	—	4	1	no	—
1055	Q₈	—	4	1	no	—
1056	Q₈	C₂×#117	1	4	yes	—
1057	Q₈	C₂×#117	1	4	yes	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	4	8	no	—
1108	C₂×C₄	—	4	8	no	—
1109	C₂×C₄	—	4	1	no	—
1110	C₂×C₄	—	4	1	no	—
1111	C₂×C₄	—	4	1	no	—
1112	C₂×C₄	—	4	1	no	—
1113	C₂×C₄	—	4	1	no	—
1114	C₂×C₄	—	4	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	4	1	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	4	1	no	—
1131	C₂×C₄	—	4	1	no	—
1132	C₂×C₄	—	4	1	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	1	no	—
1135	C₂×C₄	—	4	1	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1146	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1147	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1148	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1149	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1150	C₂×C₄	#578	1	2	yes	—
1151	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1152	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1153	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1154	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1155	C₂×C₄	#585	1	1	yes	characteristic
1156	C₂×C₄	#585	1	1	yes	characteristic
1157	C₈	—	2	2	no	—
1158	C₈	—	2	2	no	—
1159	C₈	—	2	2	no	—
1160	C₈	—	4	1	no	—
1161	C₈	—	4	1	no	—
1162	C₈	—	4	1	no	—
1163	C₈	—	4	1	no	—
1164	C₈	C₂×#117	1	4	yes	—
1165	C₂²	—	2	2	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1173	C₂²	D₄×#41	1	1	yes	characteristic
1174	C₂²	D₄×#41	1	1	yes	characteristic
1175	C₂²	C₂×#578	1	1	yes	characteristic
1176	C₂²	#3584	1	1	yes	characteristic
1177	C₂²	#3586	1	1	yes	characteristic
1178	C₂²	#3586	1	1	yes	characteristic
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	4	no	—
1185	C₄	—	2	4	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	2	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	1	no	—
1196	C₄	—	4	1	no	—
1197	C₄	—	4	1	no	—
1198	C₄	—	4	1	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	8	1	no	—
1201	C₄	—	8	1	no	—
1202	C₄	—	8	1	no	—
1203	C₄	—	8	1	no	—
1204	C₄	—	8	1	no	—
1205	C₄	—	8	1	no	—
1206	C₄	—	8	1	no	—
1207	C₄	—	8	1	no	—
1208	C₄	C₂²×#117	1	1	yes	characteristic
1209	C₄	#3428	1	1	yes	characteristic
1210	C₄	#3475	1	1	yes	characteristic
1211	C₄	#3475	1	1	yes	characteristic
1212	C₂	—	4	2	no	—
1213	C₂	D₄×#117	1	1	yes	characteristic
1214	C₂	C₄×#578	1	1	yes	characteristic
1215	C₂	#60175	1	1	yes	characteristic
1216	C₂	#61525	1	1	yes	characteristic
1217	C₂	#61533	1	1	yes	characteristic
1218	C₂	#61537	1	1	yes	characteristic
1219	C₂	#61544	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂⁴	C₂²×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2298 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
4. #22818	C₂	semidirect
5. #22818	C₂	semidirect
6. #22771	C₂	semidirect
7. #22769	C₂	semidirect
8. #22763	C₂	semidirect
9. #22761	C₂	semidirect
10. #22679	C₂	semidirect
11. #22679	C₂	semidirect
20. #21289	C₂	semidirect
21. #21287	C₂	semidirect
22. #21135	C₂	semidirect
23. #21132	C₂	semidirect
24. #21119	C₂	semidirect
25. #21116	C₂	semidirect
29. #20505	C₂	semidirect
30. C₄×#441	C₂	semidirect
35. #2950	C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2950	2
#34262	2
#22818	2
#22771	2
#22769	2
#22763	2
#22761	2
#22679	2
#22616	2
#22610	2
#22585	2
#22581	2
C₂²⋊C₄×Q₁₆	2
#22440	2
#21289	2
#21287	2
#21135	2
#21132	2
#21119	2
#21116	2
#20822	2
#20745	2
#20505	2
C₄×#441	2
#20478	2