Subgroups — #7504712

Order 512.

1583 conjugacy classes of subgroups.

The subgroup lattice has 1220 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34814	C₂	1	1	yes	maximal, characteristic
2	#34739	C₂	1	1	yes	maximal, characteristic
3	#31437	C₂	1	1	yes	maximal, characteristic, complemented
4	#31436	C₂	1	1	yes	maximal, characteristic, complemented
5	#31435	C₂	1	1	yes	maximal, characteristic, complemented
6	#31434	C₂	1	1	yes	maximal, characteristic, complemented
7	#31433	C₂	1	1	yes	maximal, characteristic, complemented
8	#31432	C₂	1	1	yes	maximal, characteristic, complemented
9	#31431	C₂	1	1	yes	maximal, characteristic, complemented
10	#31430	C₂	1	1	yes	maximal, characteristic, complemented
11	#31429	C₂	1	1	yes	maximal, characteristic, complemented
12	#31428	C₂	1	1	yes	maximal, characteristic, complemented
13	#31427	C₂	1	1	yes	maximal, characteristic, complemented
14	#31426	C₂	1	1	yes	maximal, characteristic, complemented
15	#31425	C₂	1	1	yes	maximal, characteristic, complemented
16	#31424	C₂	1	1	yes	maximal, characteristic, complemented
17	#31423	C₂	1	1	yes	maximal, characteristic, complemented
18	#31422	C₂	1	1	yes	maximal, characteristic, complemented
19	#23744	C₂	1	1	yes	maximal, characteristic, complemented
20	#23744	C₂	1	1	yes	maximal, characteristic, complemented
21	#23666	C₂	1	1	yes	maximal, characteristic, complemented
22	#23638	C₂	1	1	yes	maximal, characteristic
23	#23638	C₂	1	1	yes	maximal, characteristic
24	#23551	C₂	1	1	yes	maximal, characteristic, complemented
25	#21318	C₂	1	1	yes	maximal, characteristic, complemented
26	#21169	C₂	1	1	yes	maximal, characteristic, complemented
27	#21151	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#1923	C₂	1	1	yes	maximal, characteristic
29	#21032	C₂	1	1	yes	maximal, characteristic, complemented
30	#20843	C₂	1	1	yes	maximal, characteristic
31	#20699	C₂	1	1	yes	maximal, characteristic
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂²×#117	C₂²	1	1	yes	characteristic
34	C₂×#427	C₂²	1	1	yes	characteristic
35	C₂×#427	C₂²	1	1	yes	characteristic
36	C₂×#427	C₂²	1	1	yes	characteristic
37	C₂×#427	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
41	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic
42	#2497	C₂²	1	1	yes	characteristic
43	#2497	C₂²	1	1	yes	characteristic
44	#2496	C₂²	1	1	yes	characteristic
45	#2496	C₂²	1	1	yes	characteristic
46	#2495	C₂²	1	1	yes	characteristic
47	#2495	C₂²	1	1	yes	characteristic
48	#2494	C₂²	1	1	yes	characteristic
49	#2494	C₂²	1	1	yes	characteristic
50	#2493	—	2	1	no	—
51	#2493	—	2	1	no	—
52	#2480	—	2	1	no	—
53	#2480	—	2	1	no	—
54	#2442	C₂²	1	1	yes	characteristic
55	#2442	C₂²	1	1	yes	characteristic
56	#2441	C₂²	1	1	yes	characteristic
57	#2441	C₂²	1	1	yes	characteristic
58	#2440	C₂²	1	1	yes	characteristic
59	#2440	C₂²	1	1	yes	characteristic
60	#2439	C₂²	1	1	yes	characteristic
61	#2439	C₂²	1	1	yes	characteristic
62	#2438	—	2	1	no	—
63	#2438	—	2	1	no	—
64	#2437	—	2	1	no	—
65	#2437	—	2	1	no	—
66	#2401	—	2	1	no	—
67	#2401	—	2	1	no	—
68	#2396	—	2	1	no	—
69	#2396	—	2	1	no	—
70	C₄×#126	—	2	1	no	—
71	C₄×#126	—	2	1	no	—
72	C₄×C₂²⋊Q₈	—	2	1	no	—
73	C₄×C₂²⋊Q₈	—	2	1	no	—
74	#2296	C₂²	1	1	yes	characteristic
75	#2296	C₂²	1	1	yes	characteristic
76	#2296	C₂²	1	1	yes	characteristic
77	#2296	C₂²	1	1	yes	characteristic
78	#2285	C₂²	1	1	yes	characteristic
79	#2285	C₂²	1	1	yes	characteristic
80	#2280	C₂²	1	1	yes	characteristic
81	#2280	C₂²	1	1	yes	characteristic
82	#2280	C₂²	1	1	yes	characteristic
83	C₄×#117	C₂²	1	1	yes	characteristic
84	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
85	#2101	C₂²	1	1	yes	characteristic, complemented
86	#2101	C₂²	1	1	yes	characteristic, complemented
87	#2101	C₂²	1	1	yes	characteristic, complemented
88	#2101	C₂²	1	1	yes	characteristic, complemented
89	#2101	C₂²	1	1	yes	characteristic, complemented
90	#2101	C₂²	1	1	yes	characteristic, complemented
91	#2101	C₂²	1	1	yes	characteristic, complemented
92	#2101	C₂²	1	1	yes	characteristic, complemented
93	#2100	C₂²	1	1	yes	characteristic, complemented
94	#2100	C₂²	1	1	yes	characteristic, complemented
95	#2100	C₂²	1	1	yes	characteristic, complemented
96	#2100	C₂²	1	1	yes	characteristic, complemented
97	#2099	C₂²	1	1	yes	characteristic, complemented
98	#2099	C₂²	1	1	yes	characteristic, complemented
99	#2099	C₂²	1	1	yes	characteristic, complemented
100	#2099	C₂²	1	1	yes	characteristic, complemented
101	#2088	C₂²	1	1	yes	characteristic, complemented
102	#2088	C₂²	1	1	yes	characteristic, complemented
103	#2088	C₂²	1	1	yes	characteristic, complemented
104	#2088	C₂²	1	1	yes	characteristic, complemented
105	#2087	C₂²	1	1	yes	characteristic, complemented
106	#2087	C₂²	1	1	yes	characteristic, complemented
107	#2086	C₂²	1	1	yes	characteristic, complemented
108	#2086	C₂²	1	1	yes	characteristic, complemented
109	#2077	C₂²	1	1	yes	characteristic
110	#2077	C₂²	1	1	yes	characteristic
111	#2077	C₂²	1	1	yes	characteristic
112	#2077	C₂²	1	1	yes	characteristic
113	#2077	C₂²	1	1	yes	characteristic
114	#2077	C₂²	1	1	yes	characteristic
115	#2077	C₂²	1	1	yes	characteristic
116	#2077	C₂²	1	1	yes	characteristic
117	#2076	C₂²	1	1	yes	characteristic
118	#2076	C₂²	1	1	yes	characteristic
119	#2076	C₂²	1	1	yes	characteristic
120	#2076	C₂²	1	1	yes	characteristic
121	#2075	C₂²	1	1	yes	characteristic
122	#2075	C₂²	1	1	yes	characteristic
123	#2075	C₂²	1	1	yes	characteristic
124	#2075	C₂²	1	1	yes	characteristic
125	#2059	C₂²	1	1	yes	characteristic, complemented
126	#2059	C₂²	1	1	yes	characteristic, complemented
127	#2059	C₂²	1	1	yes	characteristic, complemented
128	#2059	C₂²	1	1	yes	characteristic, complemented
129	#2058	C₂²	1	1	yes	characteristic, complemented
130	#2058	C₂²	1	1	yes	characteristic, complemented
131	#2057	C₂²	1	1	yes	characteristic, complemented
132	#2057	C₂²	1	1	yes	characteristic, complemented
133	#1991	C₂²	1	1	yes	characteristic, complemented
134	#1991	C₂²	1	1	yes	characteristic, complemented
135	#1991	C₂²	1	1	yes	characteristic, complemented
136	#1991	C₂²	1	1	yes	characteristic, complemented
137	#1990	C₂²	1	1	yes	characteristic, complemented
138	#1990	C₂²	1	1	yes	characteristic, complemented
139	#1990	C₂²	1	1	yes	characteristic, complemented
140	#1990	C₂²	1	1	yes	characteristic, complemented
141	#1949	C₂²	1	1	yes	characteristic, complemented
142	#1949	C₂²	1	1	yes	characteristic, complemented
143	#1949	C₂²	1	1	yes	characteristic, complemented
144	#1949	C₂²	1	1	yes	characteristic, complemented
145	#1948	C₂²	1	1	yes	characteristic, complemented
146	#1948	C₂²	1	1	yes	characteristic, complemented
147	#1947	C₂²	1	1	yes	characteristic, complemented
148	#1947	C₂²	1	1	yes	characteristic, complemented
149	#1942	C₂²	1	1	yes	characteristic, complemented
150	#1942	C₂²	1	1	yes	characteristic, complemented
151	#1942	C₂²	1	1	yes	characteristic, complemented
152	#1942	C₂²	1	1	yes	characteristic, complemented
153	#1941	C₂²	1	1	yes	characteristic, complemented
154	#1941	C₂²	1	1	yes	characteristic, complemented
155	#1941	C₂²	1	1	yes	characteristic, complemented
156	#1941	C₂²	1	1	yes	characteristic, complemented
157	#1923	C₂²	1	1	yes	characteristic
158	#1923	C₂²	1	1	yes	characteristic
159	#1923	C₂²	1	1	yes	characteristic
160	#1923	C₂²	1	1	yes	characteristic
161	#1923	C₂²	1	1	yes	characteristic
162	#1923	C₂²	1	1	yes	characteristic
163	#1923	C₂²	1	1	yes	characteristic
164	#1923	C₂²	1	1	yes	characteristic
165	#1921	C₂²	1	1	yes	characteristic, complemented
166	#1921	C₂²	1	1	yes	characteristic, complemented
167	#1920	C₂²	1	1	yes	characteristic, complemented
168	#1920	C₂²	1	1	yes	characteristic, complemented
169	#1919	C₂²	1	1	yes	characteristic, complemented
170	#1919	C₂²	1	1	yes	characteristic, complemented
171	#1918	C₂²	1	1	yes	characteristic, complemented
172	#1918	C₂²	1	1	yes	characteristic, complemented
173	#1854	C₂²	1	1	yes	characteristic
174	#1854	C₂²	1	1	yes	characteristic
175	#1854	C₂²	1	1	yes	characteristic
176	#1854	C₂²	1	1	yes	characteristic
177	#1853	C₂²	1	1	yes	characteristic
178	#1853	C₂²	1	1	yes	characteristic
179	#1852	C₂²	1	1	yes	characteristic
180	#1852	C₂²	1	1	yes	characteristic
181	#1825	C₂²	1	1	yes	characteristic
182	#1825	C₂²	1	1	yes	characteristic
183	#1825	C₂²	1	1	yes	characteristic
184	#1825	C₂²	1	1	yes	characteristic
185	#1824	C₂²	1	1	yes	characteristic
186	#1824	C₂²	1	1	yes	characteristic
187	#1823	C₂²	1	1	yes	characteristic
188	#1823	C₂²	1	1	yes	characteristic
189	#1735	C₂²	1	1	yes	characteristic
190	#1735	C₂²	1	1	yes	characteristic
191	#1735	C₂²	1	1	yes	characteristic
192	#1735	C₂²	1	1	yes	characteristic
193	#1735	C₂²	1	1	yes	characteristic
194	#1735	C₂²	1	1	yes	characteristic
195	#1735	C₂²	1	1	yes	characteristic
196	#1735	C₂²	1	1	yes	characteristic
197	#1735	C₂²	1	1	yes	characteristic
198	#1735	C₂²	1	1	yes	characteristic
199	#1735	C₂²	1	1	yes	characteristic
200	#1735	C₂²	1	1	yes	characteristic
201	C₂×#336	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	C₂³×C₈	C₂³	1	1	yes	characteristic
205	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	#533	—	2	4	no	—
209	#533	—	4	2	no	—
210	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₂×#126	—	2	1	no	—
213	C₂×#126	—	2	1	no	—
214	C₂×#125	C₂³	1	1	yes	characteristic
215	C₂×#125	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Q₈	—	2	1	no	—
217	C₂×C₂²⋊Q₈	—	2	1	no	—
218	C₂×C₂²⋊Q₈	—	2	1	no	—
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₄×Q₈	—	2	1	no	—
221	C₂×C₄×Q₈	—	2	1	no	—
222	C₂×#117	—	2	1	no	—
223	C₂×#117	—	2	1	no	—
224	C₂×#117	—	2	4	no	—
225	C₂×#117	—	4	2	no	—
226	C₂×#117	C₂³	1	1	yes	characteristic
227	C₂×#117	C₂³	1	1	yes	characteristic
228	C₂×#117	C₂³	1	1	yes	characteristic
229	C₂×#117	C₂³	1	1	yes	characteristic
230	C₂×#117	C₂³	1	1	yes	characteristic
231	C₂×#117	C₂³	1	1	yes	characteristic
232	C₂×#117	C₂³	1	1	yes	characteristic
233	C₂×#117	C₂³	1	1	yes	characteristic
234	C₂×#117	C₂³	1	1	yes	characteristic
235	C₂×#117	C₂³	1	1	yes	characteristic
236	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊C₄	—	2	1	no	—
239	C₂²×C₂²⋊C₄	D₄	1	1	yes	characteristic
240	C₂²×C₂²⋊C₄	D₄	1	1	yes	characteristic
241	C₂²×C₄²	—	2	1	no	—
242	C₂²×C₄²	C₂³	1	1	yes	characteristic
243	C₂²×C₄²	C₂³	1	1	yes	characteristic
244	#427	—	2	4	no	—
245	#427	—	2	4	no	—
246	#427	—	4	2	no	—
247	#427	—	4	2	no	—
248	C₂×#107	C₂³	1	1	yes	characteristic
249	C₂×#107	C₂³	1	1	yes	characteristic
250	C₂×#107	C₂³	1	1	yes	characteristic
251	C₂×#107	C₂³	1	1	yes	characteristic
252	C₂×#107	C₂³	1	1	yes	characteristic
253	C₂×#107	C₂³	1	1	yes	characteristic
254	C₂×#107	C₂³	1	1	yes	characteristic
255	C₂×#107	C₂³	1	1	yes	characteristic
256	C₂×#106	C₂³	1	1	yes	characteristic
257	C₂×#106	C₂³	1	1	yes	characteristic
258	C₂×#106	C₂³	1	1	yes	characteristic
259	C₂×#106	C₂³	1	1	yes	characteristic
260	C₂×#106	C₂³	1	1	yes	characteristic
261	C₂×#106	C₂³	1	1	yes	characteristic
262	C₂×#106	C₂³	1	1	yes	characteristic
263	C₂×#106	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	—	2	4	no	—
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₈	—	2	4	no	—
270	C₂×C₂²⋊C₈	—	4	2	no	—
271	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₄×C₈	—	4	2	no	—
280	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
284	#401	—	2	1	no	—
285	#401	—	2	1	no	—
286	#400	—	2	1	no	—
287	#400	—	2	1	no	—
288	#400	—	2	1	no	—
289	#400	—	2	1	no	—
290	#400	—	2	1	no	—
291	#400	—	2	1	no	—
292	#400	—	2	1	no	—
293	#400	—	2	1	no	—
294	#399	—	2	1	no	—
295	#399	—	2	1	no	—
296	#398	—	2	1	no	—
297	#398	—	2	1	no	—
298	#398	—	2	1	no	—
299	#398	—	2	1	no	—
300	#397	—	2	1	no	—
301	#397	—	2	1	no	—
302	#397	—	2	1	no	—
303	#397	—	2	1	no	—
304	#397	—	2	1	no	—
305	#397	—	2	1	no	—
306	#396	—	2	1	no	—
307	#396	—	2	1	no	—
308	#396	—	2	1	no	—
309	#396	—	2	1	no	—
310	#396	—	2	1	no	—
311	#396	—	2	1	no	—
312	#395	—	2	1	no	—
313	#395	—	2	1	no	—
314	#393	—	2	1	no	—
315	#393	—	2	1	no	—
316	#391	—	2	1	no	—
317	#391	—	2	1	no	—
318	#389	—	2	1	no	—
319	#389	—	2	1	no	—
320	#389	C₂³	1	1	yes	characteristic
321	#389	C₂³	1	1	yes	characteristic
322	#389	C₂³	1	1	yes	characteristic
323	#389	C₂³	1	1	yes	characteristic
324	#389	C₂³	1	1	yes	characteristic
325	#389	C₂³	1	1	yes	characteristic
326	#389	C₂³	1	1	yes	characteristic
327	#389	C₂³	1	1	yes	characteristic
328	#389	C₂³	1	1	yes	characteristic
329	#389	C₂³	1	1	yes	characteristic
330	#389	C₂³	1	1	yes	characteristic
331	#389	C₂³	1	1	yes	characteristic
332	#389	C₂³	1	1	yes	characteristic
333	#389	C₂³	1	1	yes	characteristic
334	#389	C₂³	1	1	yes	characteristic
335	#389	C₂³	1	1	yes	characteristic
336	#388	—	2	1	no	—
337	#388	—	2	1	no	—
338	#388	—	2	1	no	—
339	#388	—	2	1	no	—
340	#388	—	2	1	no	—
341	#388	—	2	1	no	—
342	#387	—	2	1	no	—
343	#387	—	2	1	no	—
344	#387	—	2	1	no	—
345	#387	—	2	1	no	—
346	#387	—	2	1	no	—
347	#387	—	2	1	no	—
348	#387	—	2	1	no	—
349	#387	—	2	1	no	—
350	#387	—	2	1	no	—
351	#387	—	2	1	no	—
352	#385	—	2	1	no	—
353	#385	—	2	1	no	—
354	#385	—	2	1	no	—
355	#385	—	2	1	no	—
356	#385	—	2	1	no	—
357	#385	—	2	1	no	—
358	#385	—	2	1	no	—
359	#385	—	2	1	no	—
360	#385	—	2	1	no	—
361	#385	—	2	1	no	—
362	#385	—	2	1	no	—
363	#385	—	2	1	no	—
364	#384	C₂³	1	1	yes	characteristic
365	#384	C₂³	1	1	yes	characteristic
366	#384	C₂³	1	1	yes	characteristic
367	#384	C₂³	1	1	yes	characteristic
368	#383	—	2	1	no	—
369	#383	—	2	1	no	—
370	#382	C₂³	1	1	yes	characteristic
371	#382	C₂³	1	1	yes	characteristic
372	#382	C₂³	1	1	yes	characteristic
373	#382	C₂³	1	1	yes	characteristic
374	#381	—	2	1	no	—
375	#381	—	2	1	no	—
376	#381	—	2	1	no	—
377	#380	—	2	1	no	—
378	#380	—	2	1	no	—
379	#380	—	2	1	no	—
380	#380	—	2	1	no	—
381	#380	—	2	1	no	—
382	#380	—	2	1	no	—
383	#380	C₂³	1	1	yes	characteristic
384	#380	C₂³	1	1	yes	characteristic
385	#380	C₂³	1	1	yes	characteristic
386	#380	C₂³	1	1	yes	characteristic
387	#380	C₂³	1	1	yes	characteristic
388	#380	C₂³	1	1	yes	characteristic
389	#380	C₂³	1	1	yes	characteristic
390	#380	C₂³	1	1	yes	characteristic
391	#380	C₂³	1	1	yes	characteristic
392	#380	C₂³	1	1	yes	characteristic
393	#380	C₂³	1	1	yes	characteristic
394	#380	C₂³	1	1	yes	characteristic
395	#379	—	2	1	no	—
396	#379	—	2	1	no	—
397	#379	—	2	1	no	—
398	C₄×C₄⋊C₄	—	2	1	no	—
399	C₄×C₄⋊C₄	—	2	1	no	—
400	C₄×C₄⋊C₄	—	2	1	no	—
401	C₄×C₄⋊C₄	—	2	1	no	—
402	C₄×C₄⋊C₄	—	2	1	no	—
403	C₄×C₄⋊C₄	—	2	1	no	—
404	C₄×C₄⋊C₄	—	2	1	no	—
405	C₄×C₄⋊C₄	—	2	1	no	—
406	C₄×C₄⋊C₄	—	2	1	no	—
407	C₄×C₄⋊C₄	—	2	1	no	—
408	C₄×C₄⋊C₄	—	2	1	no	—
409	C₄×C₄⋊C₄	—	2	1	no	—
410	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₄×C₂²⋊C₄	—	2	1	no	—
415	C₄×C₂²⋊C₄	—	2	1	no	—
416	C₄×C₂²⋊C₄	—	2	1	no	—
417	C₄×C₂²⋊C₄	—	2	1	no	—
418	C₄×C₂²⋊C₄	—	2	1	no	—
419	C₄×C₂²⋊C₄	—	2	1	no	—
420	C₄×C₂²⋊C₄	—	2	1	no	—
421	C₄×C₂²⋊C₄	—	2	1	no	—
422	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
424	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
425	C₄×C₂²⋊C₄	D₄	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
430	#376	—	2	1	no	—
431	C₂×#95	D₄	1	1	yes	characteristic
432	C₂×#95	D₄	1	1	yes	characteristic
433	C₄³	—	2	1	no	—
434	#340	C₂³	1	1	yes	characteristic
435	#340	C₂³	1	1	yes	characteristic
436	#340	C₂³	1	1	yes	characteristic
437	#340	C₂³	1	1	yes	characteristic
438	#340	C₂³	1	1	yes	characteristic
439	#340	C₂³	1	1	yes	characteristic
440	#340	C₂³	1	1	yes	characteristic
441	#340	C₂³	1	1	yes	characteristic
442	#340	C₂³	1	1	yes	characteristic
443	#340	C₂³	1	1	yes	characteristic
444	#340	C₂³	1	1	yes	characteristic
445	#340	C₂³	1	1	yes	characteristic
446	#340	C₂³	1	1	yes	characteristic
447	#340	C₂³	1	1	yes	characteristic
448	#340	C₂³	1	1	yes	characteristic
449	#340	C₂³	1	1	yes	characteristic
450	#340	C₂³	1	1	yes	characteristic
451	#340	C₂³	1	1	yes	characteristic
452	#340	C₂³	1	1	yes	characteristic
453	#340	C₂³	1	1	yes	characteristic
454	#340	C₂³	1	1	yes	characteristic
455	#340	C₂³	1	1	yes	characteristic
456	#340	C₂³	1	1	yes	characteristic
457	#340	C₂³	1	1	yes	characteristic
458	#340	C₂³	1	1	yes	characteristic
459	#340	C₂³	1	1	yes	characteristic
460	#340	C₂³	1	1	yes	characteristic
461	#340	C₂³	1	1	yes	characteristic
462	#340	C₂³	1	1	yes	characteristic
463	#340	C₂³	1	1	yes	characteristic
464	#340	C₂³	1	1	yes	characteristic
465	#340	C₂³	1	1	yes	characteristic
466	#340	C₂³	1	1	yes	characteristic
467	#340	C₂³	1	1	yes	characteristic
468	#340	C₂³	1	1	yes	characteristic
469	#340	C₂³	1	1	yes	characteristic
470	#340	C₂³	1	1	yes	characteristic
471	#340	C₂³	1	1	yes	characteristic
472	#340	C₂³	1	1	yes	characteristic
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#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	C₂⁵	C₂×D₄	1	1	yes	characteristic
491	C₂²×Q₈	—	2	1	no	—
492	C₂²×Q₈	—	2	1	no	—
493	C₂³×C₄	—	2	2	no	—
494	C₂³×C₄	—	2	2	no	—
495	C₂³×C₄	—	2	2	no	—
496	C₂³×C₄	—	2	2	no	—
497	C₂³×C₄	—	2	2	no	—
498	C₂³×C₄	—	2	2	no	—
499	C₂³×C₄	—	2	1	no	—
500	C₂³×C₄	—	2	1	no	—
501	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
502	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
503	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
504	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
505	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
506	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
507	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
508	C₂³×C₄	C₂⁴	1	1	yes	characteristic
509	C₂³×C₄	C₂⁴	1	1	yes	characteristic
510	C₂³×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₈	—	2	2	no	—
512	C₂²×C₈	—	2	2	no	—
513	C₂²×C₈	—	2	2	no	—
514	C₂²×C₈	—	2	2	no	—
515	C₂²×C₈	—	2	2	no	—
516	C₂²×C₈	—	2	2	no	—
517	C₂²×C₈	—	2	2	no	—
518	C₂²×C₈	—	2	2	no	—
519	C₂²×C₈	—	2	2	no	—
520	C₂²×C₈	—	2	2	no	—
521	C₂²×C₈	—	2	2	no	—
522	C₂²×C₈	#41	1	4	yes	—
523	C₂²×C₈	C₂⁴	1	1	yes	characteristic
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₄⋊Q₈	—	2	2	no	—
532	C₄⋊Q₈	—	2	2	no	—
533	C₄⋊Q₈	—	4	1	no	—
534	C₄⋊Q₈	—	4	1	no	—
535	#126	—	4	4	no	—
536	#126	—	4	4	no	—
537	#125	—	2	2	no	—
538	#125	—	2	2	no	—
539	#125	—	4	1	no	—
540	#125	—	4	1	no	—
541	C₂²⋊Q₈	—	4	4	no	—
542	C₂²⋊Q₈	—	4	4	no	—
543	C₂²⋊Q₈	—	4	4	no	—
544	C₂²⋊Q₈	—	4	4	no	—
545	C₄×Q₈	—	4	4	no	—
546	C₄×Q₈	—	4	4	no	—
547	#117	—	2	2	no	—
548	#117	—	2	2	no	—
549	#117	—	2	2	no	—
550	#117	—	2	2	no	—
551	#117	—	2	2	no	—
552	#117	—	2	2	no	—
553	#117	—	2	2	no	—
554	#117	—	2	2	no	—
555	#117	—	2	2	no	—
556	#117	—	2	2	no	—
557	#117	—	2	2	no	—
558	#117	—	2	2	no	—
559	#117	—	2	2	no	—
560	#117	—	2	2	no	—
561	#117	—	2	2	no	—
562	#117	—	2	2	no	—
563	#117	—	2	2	no	—
564	#117	—	4	4	no	—
565	#117	—	4	4	no	—
566	#117	—	4	1	no	—
567	#117	—	4	1	no	—
568	#117	#41	1	4	yes	—
569	C₂×C₄⋊C₄	—	2	2	no	—
570	C₂×C₄⋊C₄	—	2	2	no	—
571	C₂×C₄⋊C₄	—	2	1	no	—
572	C₂×C₄⋊C₄	—	2	1	no	—
573	C₂×C₄⋊C₄	—	2	1	no	—
574	C₂×C₄⋊C₄	—	2	1	no	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	no	—
579	C₂×C₄⋊C₄	—	2	1	no	—
580	C₂×C₄⋊C₄	—	2	1	no	—
581	C₂×C₄⋊C₄	—	2	1	no	—
582	C₂×C₄⋊C₄	—	2	1	no	—
583	C₂×C₄⋊C₄	—	2	1	no	—
584	C₂×C₄⋊C₄	—	2	1	no	—
585	C₂×C₄⋊C₄	—	2	1	no	—
586	C₂×C₄⋊C₄	—	2	1	no	—
587	C₂×C₄⋊C₄	—	2	1	no	—
588	C₂×C₄⋊C₄	—	2	1	no	—
589	C₂×C₄⋊C₄	—	2	1	no	—
590	C₂×C₄⋊C₄	—	2	1	no	—
591	C₂×C₄⋊C₄	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	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	—	4	1	no	—
604	C₂×C₄⋊C₄	—	4	1	no	—
605	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₂×C₂²⋊C₄	—	2	1	no	—
622	C₂×C₂²⋊C₄	—	2	4	no	—
623	C₂×C₂²⋊C₄	—	2	1	no	—
624	C₂×C₂²⋊C₄	—	2	1	no	—
625	C₂×C₂²⋊C₄	—	2	1	no	—
626	C₂×C₂²⋊C₄	—	2	1	no	—
627	C₂×C₂²⋊C₄	—	2	1	no	—
628	C₂×C₂²⋊C₄	—	2	1	no	—
629	C₂×C₂²⋊C₄	—	2	1	no	—
630	C₂×C₂²⋊C₄	—	2	1	no	—
631	C₂×C₂²⋊C₄	—	2	1	no	—
632	C₂×C₂²⋊C₄	—	2	1	no	—
633	C₂×C₂²⋊C₄	—	2	1	no	—
634	C₂×C₂²⋊C₄	—	2	1	no	—
635	C₂×C₂²⋊C₄	—	2	1	no	—
636	C₂×C₂²⋊C₄	—	2	1	no	—
637	C₂×C₂²⋊C₄	—	2	1	no	—
638	C₂×C₂²⋊C₄	—	2	1	no	—
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	—	2	1	no	—
641	C₂×C₂²⋊C₄	—	2	1	no	—
642	C₂×C₂²⋊C₄	—	2	1	no	—
643	C₂×C₂²⋊C₄	—	2	1	no	—
644	C₂×C₂²⋊C₄	—	4	2	no	—
645	C₂×C₂²⋊C₄	—	4	4	no	—
646	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
655	C₂×C₄²	—	2	2	no	—
656	C₂×C₄²	—	2	2	no	—
657	C₂×C₄²	—	2	2	no	—
658	C₂×C₄²	—	2	2	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	—	4	4	no	—
673	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
674	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
675	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
676	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	#107	—	2	2	no	—
682	#107	—	2	2	no	—
683	#107	—	2	2	no	—
684	#107	—	2	2	no	—
685	#107	—	4	1	no	—
686	#107	—	4	1	no	—
687	#107	—	4	1	no	—
688	#107	—	4	1	no	—
689	#106	—	2	2	no	—
690	#106	—	2	2	no	—
691	#106	—	2	2	no	—
692	#106	—	2	2	no	—
693	#106	—	4	1	no	—
694	#106	—	4	1	no	—
695	#106	—	4	1	no	—
696	#106	—	4	1	no	—
697	C₄⋊C₈	—	2	2	no	—
698	C₄⋊C₈	—	2	2	no	—
699	C₄⋊C₈	—	2	2	no	—
700	C₄⋊C₈	—	2	2	no	—
701	C₂²⋊C₈	—	2	2	no	—
702	C₂²⋊C₈	—	2	2	no	—
703	C₂²⋊C₈	—	2	2	no	—
704	C₂²⋊C₈	—	2	2	no	—
705	C₂²⋊C₈	—	4	1	no	—
706	C₂²⋊C₈	—	4	1	no	—
707	C₂²⋊C₈	—	4	1	no	—
708	C₂²⋊C₈	—	4	1	no	—
709	C₄×C₈	—	4	1	no	—
710	C₄×C₈	—	4	1	no	—
711	C₄×C₈	—	4	1	no	—
712	C₄×C₈	—	4	1	no	—
713	#95	—	2	1	no	—
714	#95	—	2	1	no	—
715	#95	—	2	1	no	—
716	#95	—	2	1	no	—
717	#95	—	2	1	no	—
718	#95	—	2	1	no	—
719	#95	—	2	1	no	—
720	#95	—	2	1	no	—
721	#95	—	2	1	no	—
722	#95	—	2	1	no	—
723	#95	—	2	1	no	—
724	#95	—	2	1	no	—
725	#95	—	2	1	no	—
726	#95	—	2	1	no	—
727	#95	—	2	1	no	—
728	#95	—	2	1	no	—
729	#95	—	2	1	no	—
730	#95	—	2	1	no	—
731	#95	—	2	1	no	—
732	#95	—	2	1	no	—
733	#95	—	2	1	no	—
734	#95	—	2	1	no	—
735	#95	—	2	1	no	—
736	#95	—	2	1	no	—
737	#95	—	2	1	no	—
738	#95	—	2	1	no	—
739	#95	—	2	1	no	—
740	#95	—	2	1	no	—
741	#95	—	2	1	no	—
742	#95	—	2	1	no	—
743	#95	—	2	1	no	—
744	#95	—	2	1	no	—
745	#95	—	2	1	no	—
746	#95	—	2	1	no	—
747	#95	—	2	1	no	—
748	#95	—	2	1	no	—
749	#95	—	2	1	no	—
750	#95	—	2	1	no	—
751	#95	—	2	1	no	—
752	#95	—	2	1	no	—
753	#95	C₂×D₄	1	1	yes	characteristic
754	#95	C₂×D₄	1	1	yes	characteristic
755	#95	C₂×D₄	1	1	yes	characteristic
756	#95	C₂×D₄	1	1	yes	characteristic
757	#95	C₂×D₄	1	1	yes	characteristic
758	#95	C₂×D₄	1	1	yes	characteristic
759	#95	C₂×D₄	1	1	yes	characteristic
760	#95	C₂×D₄	1	1	yes	characteristic
761	C₂⁴	—	2	2	no	—
762	C₂⁴	—	2	2	no	—
763	C₂⁴	—	2	2	no	—
764	C₂⁴	—	2	2	no	—
765	C₂⁴	—	4	1	no	—
766	C₂⁴	—	4	1	no	—
767	C₂⁴	—	4	1	no	—
768	C₂⁴	C₂²×D₄	1	1	yes	characteristic
769	C₂⁴	C₂²×D₄	1	1	yes	characteristic
770	C₂⁴	C₂²×D₄	1	1	yes	characteristic
771	C₂×Q₈	—	4	2	no	—
772	C₂×Q₈	—	4	2	no	—
773	C₂×Q₈	—	4	2	no	—
774	C₂×Q₈	—	4	2	no	—
775	C₂×Q₈	—	8	1	no	—
776	C₂×Q₈	—	8	1	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	1	no	—
784	C₂²×C₄	—	2	1	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	1	no	—
796	C₂²×C₄	—	2	1	no	—
797	C₂²×C₄	—	2	1	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	1	no	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	1	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	1	no	—
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	1	no	—
810	C₂²×C₄	—	2	1	no	—
811	C₂²×C₄	—	2	1	no	—
812	C₂²×C₄	—	2	1	no	—
813	C₂²×C₄	—	2	1	no	—
814	C₂²×C₄	—	2	1	no	—
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	1	no	—
817	C₂²×C₄	—	2	1	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	1	no	—
820	C₂²×C₄	—	2	1	no	—
821	C₂²×C₄	—	4	1	no	—
822	C₂²×C₄	—	4	1	no	—
823	C₂²×C₄	—	4	1	no	—
824	C₂²×C₄	—	4	1	no	—
825	C₂²×C₄	—	4	1	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	4	no	—
829	C₂²×C₄	—	4	4	no	—
830	C₂²×C₄	—	4	4	no	—
831	C₂²×C₄	—	4	4	no	—
832	C₂²×C₄	—	4	2	no	—
833	C₂²×C₄	—	4	2	no	—
834	C₂²×C₄	—	8	1	no	—
835	C₂²×C₄	—	8	1	no	—
836	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
837	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
838	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
839	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
840	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
841	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
842	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
843	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
844	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
845	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
846	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
847	C₂²×C₄	C₂×#41	1	2	yes	—
848	C₂²×C₄	C₂×#41	1	2	yes	—
849	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
850	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
851	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
852	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
853	C₂²×C₄	C₂⁵	1	1	yes	characteristic
854	C₂×C₈	—	2	8	no	—
855	C₂×C₈	—	2	1	no	—
856	C₂×C₈	—	2	1	no	—
857	C₂×C₈	—	2	1	no	—
858	C₂×C₈	—	2	1	no	—
859	C₂×C₈	—	2	1	no	—
860	C₂×C₈	—	2	1	no	—
861	C₂×C₈	—	2	1	no	—
862	C₂×C₈	—	2	1	no	—
863	C₂×C₈	—	2	1	no	—
864	C₂×C₈	—	2	1	no	—
865	C₂×C₈	—	2	1	no	—
866	C₂×C₈	—	2	1	no	—
867	C₂×C₈	—	2	1	no	—
868	C₂×C₈	—	2	1	no	—
869	C₂×C₈	—	2	1	no	—
870	C₂×C₈	—	2	1	no	—
871	C₂×C₈	—	2	1	no	—
872	C₂×C₈	—	2	1	no	—
873	C₂×C₈	—	2	1	no	—
874	C₂×C₈	—	2	1	no	—
875	C₂×C₈	—	2	1	no	—
876	C₂×C₈	—	2	1	no	—
877	C₂×C₈	—	4	4	no	—
878	C₂×C₈	—	4	4	no	—
879	C₂×C₈	—	4	4	no	—
880	C₂×C₈	C₂×#41	1	2	yes	—
881	C₂×C₈	C₂×#41	1	2	yes	—
882	C₄⋊C₄	—	2	1	no	—
883	C₄⋊C₄	—	2	1	no	—
884	C₄⋊C₄	—	2	1	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	1	no	—
887	C₄⋊C₄	—	2	1	no	—
888	C₄⋊C₄	—	2	1	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	1	no	—
892	C₄⋊C₄	—	2	1	no	—
893	C₄⋊C₄	—	2	1	no	—
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	1	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	1	no	—
901	C₄⋊C₄	—	2	1	no	—
902	C₄⋊C₄	—	2	1	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	1	no	—
908	C₄⋊C₄	—	2	1	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	1	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	4	2	no	—
914	C₄⋊C₄	—	4	2	no	—
915	C₄⋊C₄	—	4	2	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	2	no	—
923	C₄⋊C₄	—	4	2	no	—
924	C₄⋊C₄	—	4	2	no	—
925	C₄⋊C₄	—	4	2	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	8	1	no	—
933	C₄⋊C₄	—	8	1	no	—
934	C₄⋊C₄	—	8	1	no	—
935	C₄⋊C₄	—	8	1	no	—
936	C₄⋊C₄	—	8	1	no	—
937	C₄⋊C₄	—	8	1	no	—
938	C₄⋊C₄	—	8	1	no	—
939	C₄⋊C₄	—	8	1	no	—
940	C₄⋊C₄	—	8	1	no	—
941	C₄⋊C₄	—	8	1	no	—
942	C₄⋊C₄	—	8	1	no	—
943	C₄⋊C₄	—	8	1	no	—
944	C₄⋊C₄	C₂×#41	1	2	yes	—
945	C₄⋊C₄	C₂×#41	1	2	yes	—
946	C₂²⋊C₄	—	2	4	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	4	1	no	—
953	C₂²⋊C₄	—	4	1	no	—
954	C₂²⋊C₄	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	4	2	no	—
966	C₂²⋊C₄	—	4	2	no	—
967	C₂²⋊C₄	—	4	2	no	—
968	C₂²⋊C₄	—	4	2	no	—
969	C₂²⋊C₄	—	8	1	no	—
970	C₂²⋊C₄	—	8	1	no	—
971	C₂²⋊C₄	—	8	1	no	—
972	C₂²⋊C₄	—	8	1	no	—
973	C₂²⋊C₄	—	8	1	no	—
974	C₂²⋊C₄	—	8	1	no	—
975	C₂²⋊C₄	#135	1	4	yes	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	4	no	—
979	C₄²	—	2	2	no	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	4	2	no	—
990	C₄²	—	4	2	no	—
991	C₄²	—	4	2	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	4	2	no	—
995	C₄²	—	4	2	no	—
996	C₄²	—	4	2	no	—
997	C₄²	—	4	2	no	—
998	C₄²	—	4	2	no	—
999	C₄²	—	4	2	no	—
1000	C₄²	—	8	1	no	—
1001	C₄²	—	8	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	4	4	no	—
1020	C₂³	—	4	4	no	—
1021	C₂³	—	4	4	no	—
1022	C₂³	—	4	4	no	—
1023	C₂³	—	8	2	no	—
1024	C₂³	—	8	2	no	—
1025	C₂³	—	8	2	no	—
1026	C₂³	#536	1	2	yes	—
1027	C₂³	#546	1	2	yes	—
1028	C₂³	#547	1	2	yes	—
1029	C₂³	C₂×#135	1	2	yes	—
1030	C₂³	C₂³×D₄	1	1	yes	characteristic
1031	Q₈	—	8	4	no	—
1032	Q₈	—	8	4	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
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	—	4	4	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	1	no	—
1067	C₂×C₄	—	4	4	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	4	no	—
1075	C₂×C₄	—	4	4	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	1	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	1	no	—
1080	C₂×C₄	—	4	1	no	—
1081	C₂×C₄	—	4	1	no	—
1082	C₂×C₄	—	4	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	1	no	—
1089	C₂×C₄	—	4	1	no	—
1090	C₂×C₄	—	4	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	1	no	—
1097	C₂×C₄	—	4	1	no	—
1098	C₂×C₄	—	4	1	no	—
1099	C₂×C₄	—	4	1	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	1	no	—
1102	C₂×C₄	—	4	1	no	—
1103	C₂×C₄	—	4	1	no	—
1104	C₂×C₄	—	4	1	no	—
1105	C₂×C₄	—	4	1	no	—
1106	C₂×C₄	—	4	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	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	—	8	2	no	—
1123	C₂×C₄	—	8	4	no	—
1124	C₂×C₄	—	8	4	no	—
1125	C₂×C₄	#536	1	2	yes	—
1126	C₂×C₄	#539	1	4	yes	—
1127	C₂×C₄	#541	1	4	yes	—
1128	C₂×C₄	#546	1	2	yes	—
1129	C₂×C₄	#547	1	2	yes	—
1130	C₂×C₄	#556	1	4	yes	—
1131	C₂×C₄	#563	1	4	yes	—
1132	C₂×C₄	C₂×#135	1	2	yes	—
1133	C₂×C₄	C₂×#135	1	2	yes	—
1134	C₂×C₄	#575	1	2	yes	—
1135	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1136	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1137	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1138	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1139	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1140	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1141	C₈	—	2	2	no	—
1142	C₈	—	2	2	no	—
1143	C₈	—	4	1	no	—
1144	C₈	—	4	1	no	—
1145	C₈	—	4	1	no	—
1146	C₈	—	4	1	no	—
1147	C₈	—	4	1	no	—
1148	C₈	—	4	1	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	8	8	no	—
1170	C₂²	#2689	1	4	yes	—
1171	C₂²	C₂×#536	1	1	yes	characteristic
1172	C₂²	C₂×#546	1	1	yes	characteristic
1173	C₂²	C₂×#547	1	1	yes	characteristic
1174	C₂²	C₂²×#135	1	1	yes	characteristic
1175	C₂²	C₂×#575	1	1	yes	characteristic
1176	C₂²	#3584	1	1	yes	characteristic
1177	C₂²	#3584	1	1	yes	characteristic
1178	C₄	—	2	2	no	—
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	8	1	no	—
1191	C₄	—	8	1	no	—
1192	C₄	—	8	1	no	—
1193	C₄	—	8	1	no	—
1194	C₄	—	8	1	no	—
1195	C₄	—	8	1	no	—
1196	C₄	—	8	1	no	—
1197	C₄	—	8	1	no	—
1198	C₄	—	8	1	no	—
1199	C₄	—	8	1	no	—
1200	C₄	—	8	1	no	—
1201	C₄	—	8	1	no	—
1202	C₄	—	8	1	no	—
1203	C₄	—	8	1	no	—
1204	C₄	#2689	1	4	yes	—
1205	C₄	C₂×#539	1	1	yes	characteristic
1206	C₄	C₂×#541	1	1	yes	characteristic
1207	C₄	C₂×#556	1	1	yes	characteristic
1208	C₄	C₂×#563	1	1	yes	characteristic
1209	C₂	—	2	4	no	—
1210	C₂	—	4	2	no	—
1211	C₂	—	8	1	no	—
1212	C₂	C₂×#2689	1	1	yes	characteristic
1213	C₂	#60846	1	1	yes	characteristic
1214	C₂	#60859	1	1	yes	characteristic
1215	C₂	#61124	1	1	yes	characteristic
1216	C₂	#61141	1	1	yes	characteristic
1217	C₂	#61234	1	1	yes	characteristic
1218	C₂	#61251	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
3. #31437	C₂	semidirect
4. #31436	C₂	semidirect
5. #31435	C₂	semidirect
6. #31434	C₂	semidirect
7. #31433	C₂	semidirect
8. #31432	C₂	semidirect
9. #31431	C₂	semidirect
10. #31430	C₂	semidirect
11. #31429	C₂	semidirect
12. #31428	C₂	semidirect
13. #31427	C₂	semidirect
14. #31426	C₂	semidirect
15. #31425	C₂	semidirect
16. #31424	C₂	semidirect
17. #31423	C₂	semidirect
18. #31422	C₂	semidirect
19. #23744	C₂	semidirect
20. #23744	C₂	semidirect
21. #23666	C₂	semidirect
24. #23551	C₂	semidirect
25. #21318	C₂	semidirect
26. #21169	C₂	semidirect
27. #21151	C₂	semidirect
29. #21032	C₂	semidirect
85. #2101	C₂²	semidirect
86. #2101	C₂²	semidirect
87. #2101	C₂²	semidirect
88. #2101	C₂²	semidirect
89. #2101	C₂²	semidirect
90. #2101	C₂²	semidirect
91. #2101	C₂²	semidirect
92. #2101	C₂²	semidirect
93. #2100	C₂²	semidirect
94. #2100	C₂²	semidirect
95. #2100	C₂²	semidirect
96. #2100	C₂²	semidirect
97. #2099	C₂²	semidirect
98. #2099	C₂²	semidirect
99. #2099	C₂²	semidirect
100. #2099	C₂²	semidirect
101. #2088	C₂²	semidirect
102. #2088	C₂²	semidirect
103. #2088	C₂²	semidirect
104. #2088	C₂²	semidirect
105. #2087	C₂²	semidirect
106. #2087	C₂²	semidirect
107. #2086	C₂²	semidirect
108. #2086	C₂²	semidirect
125. #2059	C₂²	semidirect
126. #2059	C₂²	semidirect
127. #2059	C₂²	semidirect
128. #2059	C₂²	semidirect
129. #2058	C₂²	semidirect
130. #2058	C₂²	semidirect
131. #2057	C₂²	semidirect
132. #2057	C₂²	semidirect
133. #1991	C₂²	semidirect
134. #1991	C₂²	semidirect
135. #1991	C₂²	semidirect
136. #1991	C₂²	semidirect
137. #1990	C₂²	semidirect
138. #1990	C₂²	semidirect
139. #1990	C₂²	semidirect
140. #1990	C₂²	semidirect
141. #1949	C₂²	semidirect
142. #1949	C₂²	semidirect
143. #1949	C₂²	semidirect
144. #1949	C₂²	semidirect
145. #1948	C₂²	semidirect
146. #1948	C₂²	semidirect
147. #1947	C₂²	semidirect
148. #1947	C₂²	semidirect
149. #1942	C₂²	semidirect
150. #1942	C₂²	semidirect
151. #1942	C₂²	semidirect
152. #1942	C₂²	semidirect
153. #1941	C₂²	semidirect
154. #1941	C₂²	semidirect
155. #1941	C₂²	semidirect
156. #1941	C₂²	semidirect
165. #1921	C₂²	semidirect
166. #1921	C₂²	semidirect
167. #1920	C₂²	semidirect
168. #1920	C₂²	semidirect
169. #1919	C₂²	semidirect
170. #1919	C₂²	semidirect
171. #1918	C₂²	semidirect
172. #1918	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#34814	2
#34739	2
#31437	2
#31436	2
#31435	2
#31434	2
#31433	2
#31432	2
#31431	2
#31430	2
#31429	2
#31428	2
#31427	2
#31426	2
#31425	2
#31424	2
#31423	2
#31422	2
#23744	2
#23666	2
#23638	2
#23551	2
#21318	2
#21169	2
#21151	2
C₂×#1923	2
#21032	2
#20843	2
#20699	2