Subgroups — #6626028

Order 512.

1578 conjugacy classes of subgroups.

The subgroup lattice has 1207 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#36555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#554	C₂	1	1	yes	maximal, characteristic, complemented
3	#33199	C₂	1	1	yes	maximal, characteristic, complemented
4	#33070	C₂	1	1	yes	maximal, characteristic, complemented
5	#33070	C₂	1	1	yes	maximal, characteristic, complemented
6	#29318	C₂	1	1	yes	maximal, characteristic, complemented
7	#29315	C₂	1	1	yes	maximal, characteristic, complemented
8	#29262	C₂	1	1	yes	maximal, characteristic, complemented
9	#29261	C₂	1	1	yes	maximal, characteristic, complemented
10	#29214	C₂	1	1	yes	maximal, characteristic, complemented
11	#28285	C₂	1	1	yes	maximal, characteristic, complemented
12	#27020	C₂	1	1	yes	maximal, characteristic, complemented
13	#27018	C₂	1	1	yes	maximal, characteristic, complemented
14	#27008	C₂	1	1	yes	maximal, characteristic, complemented
15	#27006	C₂	1	1	yes	maximal, characteristic, complemented
16	#26398	C₂	1	1	yes	maximal, characteristic, complemented
17	#26390	C₂	1	1	yes	maximal, characteristic
18	#26378	C₂	1	1	yes	maximal, characteristic, complemented
19	#26370	C₂	1	1	yes	maximal, characteristic
20	#25074	C₂	1	1	yes	maximal, characteristic, complemented
21	#25072	C₂	1	1	yes	maximal, characteristic, complemented
22	#24349	C₂	1	1	yes	maximal, characteristic, complemented
23	#24347	C₂	1	1	yes	maximal, characteristic
24	#22980	C₂	1	1	yes	maximal, characteristic, complemented
25	#22978	C₂	1	1	yes	maximal, characteristic, complemented
26	#22823	C₂	1	1	yes	maximal, characteristic, complemented
27	#22678	C₂	1	1	yes	maximal, characteristic, complemented
28	#22676	C₂	1	1	yes	maximal, characteristic
29	#21507	C₂	1	1	yes	maximal, characteristic
30	#21507	C₂	1	1	yes	maximal, characteristic
31	C₄×#463	C₂	1	1	yes	maximal, characteristic
32	C₂×#554	C₂²	1	1	yes	characteristic
33	C₂×#479	C₂²	1	1	yes	characteristic
34	C₂×#478	C₂²	1	1	yes	characteristic
35	C₂×#478	C₂²	1	1	yes	characteristic
36	C₂×#478	C₂²	1	1	yes	characteristic
37	C₂×#463	C₂²	1	1	yes	characteristic
38	C₂×#442	C₂²	1	1	yes	characteristic
39	C₂×#442	C₂²	1	1	yes	characteristic
40	C₂×#440	C₂²	1	1	yes	characteristic
41	C₂×#440	C₂²	1	1	yes	characteristic
42	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
44	#2864	C₂²	1	1	yes	characteristic
45	#2864	C₂²	1	1	yes	characteristic
46	#2859	C₂²	1	1	yes	characteristic
47	#2587	—	2	1	no	—
48	#2587	—	2	1	no	—
49	#2582	C₂²	1	1	yes	characteristic
50	#2538	C₂²	1	1	yes	characteristic
51	#2522	—	2	1	no	—
52	#2522	—	2	1	no	—
53	#2497	—	2	1	no	—
54	#2454	C₂²	1	1	yes	characteristic
55	#2454	C₂²	1	1	yes	characteristic
56	#2453	C₂²	1	1	yes	characteristic
57	#2453	C₂²	1	1	yes	characteristic
58	#2423	—	2	1	no	—
59	#2370	C₂²	1	1	yes	characteristic
60	#2370	C₂²	1	1	yes	characteristic
61	#2369	C₂²	1	1	yes	characteristic
62	#2368	—	2	1	no	—
63	#2368	—	2	1	no	—
64	#2360	—	2	1	no	—
65	#2360	—	2	1	no	—
66	#2355	C₂²	1	1	yes	characteristic
67	Q₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	#2349	C₂²	1	1	yes	characteristic
69	#2349	C₂²	1	1	yes	characteristic
70	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
71	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
72	#2345	—	2	1	no	—
73	#2345	—	2	1	no	—
74	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
75	C₄×#125	C₂²	1	1	yes	characteristic
76	C₄×#125	C₂²	1	1	yes	characteristic
77	C₄×#124	C₂²	1	1	yes	characteristic
78	C₄×#124	C₂²	1	1	yes	characteristic
79	C₄×#124	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Q₈	—	2	1	no	—
81	C₄×C₂²⋊Q₈	—	2	1	no	—
82	C₄×C₂²⋊Q₈	—	2	1	no	—
83	C₄²×Q₈	C₂²	1	1	yes	characteristic
84	C₄²×D₄	C₂²	1	1	yes	characteristic
85	C₄²×D₄	C₂²	1	1	yes	characteristic
86	C₄²×D₄	C₂²	1	1	yes	characteristic
87	C₂×C₄×C₄⋊C₄	—	2	1	no	—
88	#2097	C₂²	1	1	yes	characteristic
89	#2096	C₂²	1	1	yes	characteristic
90	#2093	C₂²	1	1	yes	characteristic
91	#2092	C₂²	1	1	yes	characteristic
92	#2085	C₂²	1	1	yes	characteristic
93	#2085	C₂²	1	1	yes	characteristic
94	#2084	C₂²	1	1	yes	characteristic
95	#2083	C₂²	1	1	yes	characteristic
96	#2068	C₂²	1	1	yes	characteristic
97	#2067	C₂²	1	1	yes	characteristic
98	#2066	C₂²	1	1	yes	characteristic
99	#2065	C₂²	1	1	yes	characteristic
100	#2059	C₂²	1	1	yes	characteristic
101	#2059	C₂²	1	1	yes	characteristic
102	#2059	C₂²	1	1	yes	characteristic
103	#2059	C₂²	1	1	yes	characteristic
104	#2059	C₂²	1	1	yes	characteristic
105	#2059	C₂²	1	1	yes	characteristic
106	#2058	C₂²	1	1	yes	characteristic
107	#2057	C₂²	1	1	yes	characteristic
108	#2026	C₂²	1	1	yes	characteristic
109	#2025	C₂²	1	1	yes	characteristic
110	#2024	C₂²	1	1	yes	characteristic
111	#2023	C₂²	1	1	yes	characteristic
112	#1992	C₂²	1	1	yes	characteristic
113	#1992	C₂²	1	1	yes	characteristic
114	#1989	C₂²	1	1	yes	characteristic
115	#1989	C₂²	1	1	yes	characteristic
116	#1985	C₂²	1	1	yes	characteristic
117	#1985	C₂²	1	1	yes	characteristic
118	#1983	C₂²	1	1	yes	characteristic
119	#1983	C₂²	1	1	yes	characteristic
120	#1983	C₂²	1	1	yes	characteristic
121	#1949	C₂²	1	1	yes	characteristic
122	#1949	C₂²	1	1	yes	characteristic
123	#1949	C₂²	1	1	yes	characteristic
124	#1949	C₂²	1	1	yes	characteristic
125	#1949	C₂²	1	1	yes	characteristic
126	#1949	C₂²	1	1	yes	characteristic
127	#1949	C₂²	1	1	yes	characteristic
128	#1949	C₂²	1	1	yes	characteristic
129	#1949	C₂²	1	1	yes	characteristic
130	#1948	C₂²	1	1	yes	characteristic
131	#1947	C₂²	1	1	yes	characteristic
132	#1944	C₂²	1	1	yes	characteristic
133	#1944	C₂²	1	1	yes	characteristic
134	#1943	C₂²	1	1	yes	characteristic
135	#1943	C₂²	1	1	yes	characteristic
136	#1942	C₂²	1	1	yes	characteristic
137	#1942	C₂²	1	1	yes	characteristic
138	#1941	C₂²	1	1	yes	characteristic
139	#1941	C₂²	1	1	yes	characteristic
140	#1928	C₂²	1	1	yes	characteristic
141	#1927	C₂²	1	1	yes	characteristic
142	#1927	C₂²	1	1	yes	characteristic
143	#1926	C₂²	1	1	yes	characteristic
144	#1925	C₂²	1	1	yes	characteristic
145	#1925	C₂²	1	1	yes	characteristic
146	#1921	C₂²	1	1	yes	characteristic
147	#1921	C₂²	1	1	yes	characteristic
148	#1920	C₂²	1	1	yes	characteristic
149	#1920	C₂²	1	1	yes	characteristic
150	#1919	C₂²	1	1	yes	characteristic
151	#1919	C₂²	1	1	yes	characteristic
152	#1918	C₂²	1	1	yes	characteristic
153	#1918	C₂²	1	1	yes	characteristic
154	#1917	C₂²	1	1	yes	characteristic
155	#1917	C₂²	1	1	yes	characteristic
156	#1916	C₂²	1	1	yes	characteristic
157	#1916	C₂²	1	1	yes	characteristic
158	#1879	C₂²	1	1	yes	characteristic
159	#1879	C₂²	1	1	yes	characteristic
160	#1879	C₂²	1	1	yes	characteristic
161	#1877	C₂²	1	1	yes	characteristic
162	#1877	C₂²	1	1	yes	characteristic
163	#1877	C₂²	1	1	yes	characteristic
164	#1865	C₂²	1	1	yes	characteristic
165	#1864	C₂²	1	1	yes	characteristic
166	#1864	C₂²	1	1	yes	characteristic
167	#1864	C₂²	1	1	yes	characteristic
168	#1864	C₂²	1	1	yes	characteristic
169	#1864	C₂²	1	1	yes	characteristic
170	#1864	C₂²	1	1	yes	characteristic
171	#1864	C₂²	1	1	yes	characteristic
172	#1863	C₂²	1	1	yes	characteristic
173	#1863	C₂²	1	1	yes	characteristic
174	#1863	C₂²	1	1	yes	characteristic
175	#1862	C₂²	1	1	yes	characteristic
176	#1862	C₂²	1	1	yes	characteristic
177	#1862	C₂²	1	1	yes	characteristic
178	#1862	C₂²	1	1	yes	characteristic
179	#1862	C₂²	1	1	yes	characteristic
180	#1847	C₂²	1	1	yes	characteristic
181	#1847	C₂²	1	1	yes	characteristic
182	#1842	C₂²	1	1	yes	characteristic
183	#1831	C₂²	1	1	yes	characteristic
184	#1831	C₂²	1	1	yes	characteristic
185	#1805	C₂²	1	1	yes	characteristic
186	#1804	C₂²	1	1	yes	characteristic
187	#1804	C₂²	1	1	yes	characteristic
188	#1804	C₂²	1	1	yes	characteristic
189	#1804	C₂²	1	1	yes	characteristic
190	#1802	C₂²	1	1	yes	characteristic
191	#1802	C₂²	1	1	yes	characteristic
192	#1771	C₂²	1	1	yes	characteristic
193	#1771	C₂²	1	1	yes	characteristic
194	#1767	C₂²	1	1	yes	characteristic
195	#1767	C₂²	1	1	yes	characteristic
196	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
197	#1763	C₂²	1	1	yes	characteristic
198	#1763	C₂²	1	1	yes	characteristic
199	#1762	C₂²	1	1	yes	characteristic
200	#1762	C₂²	1	1	yes	characteristic
201	C₄×#103	C₂²	1	1	yes	characteristic
202	C₄×#102	C₂²	1	1	yes	characteristic
203	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
204	C₂²×D₈	C₂³	1	1	yes	characteristic
205	#554	—	2	4	no	—
206	#554	—	2	4	no	—
207	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₂×#125	C₂³	1	1	yes	characteristic
209	C₂×#125	C₂³	1	1	yes	characteristic
210	C₂×#125	C₂³	1	1	yes	characteristic
211	C₂×#125	C₂³	1	1	yes	characteristic
212	C₂×#124	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Q₈	—	2	1	no	—
214	C₂×C₂²⋊Q₈	—	2	1	no	—
215	C₂×C₂²⋊Q₈	—	2	1	no	—
216	C₂×C₂²⋊Q₈	—	2	1	no	—
217	C₂×C₄×Q₈	—	2	1	no	—
218	C₂×C₄×Q₈	D₄	1	1	yes	characteristic
219	C₂×C₄×Q₈	D₄	1	1	yes	characteristic
220	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
234	C₂²×C₄⋊C₄	—	2	1	no	—
235	C₂²×C₄⋊C₄	—	2	1	no	—
236	C₂²×C₄⋊C₄	—	2	1	no	—
237	C₂²×C₄²	—	2	1	no	—
238	C₂²×C₄²	—	2	1	no	—
239	C₂²×C₄²	—	2	1	no	—
240	#479	—	2	4	no	—
241	#478	—	2	4	no	—
242	#478	—	4	2	no	—
243	#478	—	4	2	no	—
244	#463	Q₈	1	8	yes	complemented
245	#442	—	2	4	no	—
246	#442	—	4	2	no	—
247	#440	—	2	4	no	—
248	#440	—	4	2	no	—
249	C₄×SD₁₆	—	4	2	no	—
250	C₄×D₈	—	4	2	no	—
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×#107	C₂³	1	1	yes	characteristic
257	C₂×#107	C₂³	1	1	yes	characteristic
258	C₂×#107	C₂³	1	1	yes	characteristic
259	C₂×#107	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×#106	C₂³	1	1	yes	characteristic
265	C₂×#106	C₂³	1	1	yes	characteristic
266	C₂×#106	C₂³	1	1	yes	characteristic
267	C₂×#106	C₂³	1	1	yes	characteristic
268	C₂×#106	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
285	C₂×#102	C₂³	1	1	yes	characteristic
286	C₂×#102	C₂³	1	1	yes	characteristic
287	C₂×#102	C₂³	1	1	yes	characteristic
288	C₂×#102	C₂³	1	1	yes	characteristic
289	C₂×#102	C₂³	1	1	yes	characteristic
290	C₂×#102	C₂³	1	1	yes	characteristic
291	C₂×#102	C₂³	1	1	yes	characteristic
292	C₂×#102	C₂³	1	1	yes	characteristic
293	C₂×#102	C₂³	1	1	yes	characteristic
294	C₂×#102	C₂³	1	1	yes	characteristic
295	C₂×#102	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#97	C₂³	1	1	yes	characteristic
298	C₂×#97	C₂³	1	1	yes	characteristic
299	C₂×#97	C₂³	1	1	yes	characteristic
300	C₂×#97	C₂³	1	1	yes	characteristic
301	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
303	#400	—	2	1	no	—
304	#400	—	2	1	no	—
305	#399	—	2	1	no	—
306	#399	—	2	1	no	—
307	#398	—	2	1	no	—
308	#398	—	2	1	no	—
309	#398	—	2	1	no	—
310	#398	—	2	1	no	—
311	#396	—	2	1	no	—
312	#396	—	2	1	no	—
313	#396	—	2	1	no	—
314	#396	—	2	1	no	—
315	#391	—	2	1	no	—
316	#391	—	2	1	no	—
317	#391	—	2	1	no	—
318	#391	—	2	1	no	—
319	#391	—	2	1	no	—
320	#391	C₂³	1	1	yes	characteristic
321	#391	C₂³	1	1	yes	characteristic
322	#391	C₂³	1	1	yes	characteristic
323	#390	C₂³	1	1	yes	characteristic
324	#390	C₂³	1	1	yes	characteristic
325	#390	C₂³	1	1	yes	characteristic
326	#389	—	2	1	no	—
327	#389	—	2	1	no	—
328	#389	—	2	1	no	—
329	#389	—	2	1	no	—
330	#389	—	2	1	no	—
331	#389	—	2	1	no	—
332	#389	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
340	#389	C₂³	1	1	yes	characteristic
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	#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	#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	#387	—	2	1	no	—
360	#387	—	2	1	no	—
361	#387	—	2	1	no	—
362	#387	—	2	1	no	—
363	#387	—	2	1	no	—
364	#387	—	2	1	no	—
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	#385	—	2	1	no	—
380	#385	—	2	1	no	—
381	#385	—	2	1	no	—
382	#385	—	2	1	no	—
383	#385	—	2	1	no	—
384	#385	—	2	1	no	—
385	#385	—	2	1	no	—
386	#385	—	2	1	no	—
387	#385	—	2	1	no	—
388	#385	—	2	1	no	—
389	#384	—	2	1	no	—
390	#384	C₂³	1	1	yes	characteristic
391	#384	C₂³	1	1	yes	characteristic
392	#384	C₂³	1	1	yes	characteristic
393	#382	C₂³	1	1	yes	characteristic
394	#382	C₂³	1	1	yes	characteristic
395	#382	C₂³	1	1	yes	characteristic
396	#382	C₂³	1	1	yes	characteristic
397	#382	C₂³	1	1	yes	characteristic
398	#380	—	2	1	no	—
399	#380	—	2	1	no	—
400	#380	—	2	1	no	—
401	#380	—	2	1	no	—
402	#380	—	2	1	no	—
403	#380	—	2	1	no	—
404	#380	—	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	—	2	1	no	—
411	C₄×C₄⋊C₄	—	2	1	no	—
412	C₄×C₄⋊C₄	—	2	1	no	—
413	C₄×C₄⋊C₄	—	2	1	no	—
414	C₄×C₄⋊C₄	—	2	1	no	—
415	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
416	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
417	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
418	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
419	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
420	C₄×C₄⋊C₄	D₄	1	1	yes	characteristic
421	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
424	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	—	2	1	no	—
434	C₄×C₂²⋊C₄	—	2	1	no	—
435	C₄×C₂²⋊C₄	—	2	1	no	—
436	C₄×C₂²⋊C₄	—	2	1	no	—
437	C₄×C₂²⋊C₄	—	2	1	no	—
438	C₄×C₂²⋊C₄	—	2	1	no	—
439	C₄×C₂²⋊C₄	—	2	1	no	—
440	C₄×C₂²⋊C₄	—	2	1	no	—
441	C₄×C₂²⋊C₄	—	2	1	no	—
442	C₄×C₂²⋊C₄	—	2	1	no	—
443	C₄×C₂²⋊C₄	—	2	1	no	—
444	C₄×C₂²⋊C₄	—	2	1	no	—
445	C₄×C₂²⋊C₄	—	2	1	no	—
446	C₄×C₂²⋊C₄	—	2	1	no	—
447	C₄×C₂²⋊C₄	—	2	1	no	—
448	C₂×#95	—	2	1	no	—
449	C₂×#95	—	2	1	no	—
450	C₄³	C₂³	1	1	yes	characteristic
451	C₄³	C₂³	1	1	yes	characteristic
452	C₄³	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	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	C₂²×Q₈	—	2	1	no	—
492	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
493	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
494	C₂²×D₄	C₂⁴	1	1	yes	characteristic
495	C₂²×D₄	C₂⁴	1	1	yes	characteristic
496	C₂³×C₄	—	2	1	no	—
497	C₂³×C₄	—	2	1	no	—
498	C₂³×C₄	—	2	1	no	—
499	C₂³×C₄	—	2	1	no	—
500	C₂³×C₄	—	2	1	no	—
501	C₂³×C₄	—	2	1	no	—
502	C₂³×C₄	—	2	1	no	—
503	C₂³×C₄	—	2	1	no	—
504	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	—	2	1	no	—
506	C₂×SD₁₆	—	2	2	no	—
507	C₂×SD₁₆	—	2	2	no	—
508	C₂×SD₁₆	C₂×Q₈	1	4	yes	—
509	C₂×D₈	—	2	2	no	—
510	C₂×D₈	—	2	2	no	—
511	C₂×D₈	C₂×Q₈	1	4	yes	—
512	C₂²×C₈	C₂⁴	1	1	yes	characteristic
513	C₂²×C₈	C₂⁴	1	1	yes	characteristic
514	C₂²×C₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₈	C₂⁴	1	1	yes	characteristic
516	C₂²×C₈	C₂⁴	1	1	yes	characteristic
517	C₂²×C₈	C₂⁴	1	1	yes	characteristic
518	C₂²×C₈	C₂⁴	1	1	yes	characteristic
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₄⋊Q₈	—	2	2	no	—
521	C₄⋊Q₈	—	2	2	no	—
522	#125	—	2	2	no	—
523	#125	—	2	2	no	—
524	#125	—	2	2	no	—
525	#125	—	4	1	no	—
526	#125	—	4	1	no	—
527	#125	—	4	1	no	—
528	#125	—	4	1	no	—
529	#125	#41	1	4	yes	—
530	#124	—	2	2	no	—
531	#124	C₂×Q₈	1	4	yes	—
532	C₂²⋊Q₈	—	2	8	no	—
533	C₂²⋊Q₈	—	2	8	no	—
534	C₂²⋊Q₈	—	2	8	no	—
535	C₂²⋊Q₈	—	4	4	no	—
536	C₄×Q₈	—	2	2	no	—
537	C₄×Q₈	—	2	2	no	—
538	C₄×Q₈	—	2	2	no	—
539	C₄×Q₈	—	2	2	no	—
540	C₄×Q₈	—	4	2	no	—
541	C₄×Q₈	—	4	2	no	—
542	C₄×Q₈	—	4	1	no	—
543	C₄×Q₈	—	4	1	no	—
544	C₄×Q₈	—	4	1	no	—
545	C₄×Q₈	—	4	1	no	—
546	C₄×Q₈	—	8	2	no	—
547	C₄×D₄	—	2	2	no	—
548	C₄×D₄	—	2	2	no	—
549	C₄×D₄	—	2	2	no	—
550	C₄×D₄	—	2	2	no	—
551	C₄×D₄	—	2	2	no	—
552	C₄×D₄	—	2	2	no	—
553	C₄×D₄	—	2	2	no	—
554	C₄×D₄	—	2	2	no	—
555	C₄×D₄	—	2	2	no	—
556	C₄×D₄	—	2	2	no	—
557	C₄×D₄	—	2	2	no	—
558	C₄×D₄	—	4	1	no	—
559	C₄×D₄	—	4	1	no	—
560	C₄×D₄	—	4	1	no	—
561	C₄×D₄	—	4	1	no	—
562	C₄×D₄	—	4	1	no	—
563	C₄×D₄	—	4	1	no	—
564	C₄×D₄	—	4	1	no	—
565	C₄×D₄	C₂×Q₈	1	4	yes	—
566	C₄×D₄	#41	1	4	yes	—
567	C₂×C₄⋊C₄	—	2	8	no	—
568	C₂×C₄⋊C₄	—	2	1	no	—
569	C₂×C₄⋊C₄	—	2	1	no	—
570	C₂×C₄⋊C₄	—	2	1	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	—	4	4	no	—
601	C₂×C₄⋊C₄	—	4	4	no	—
602	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
643	C₂×C₄²	—	2	1	no	—
644	C₂×C₄²	—	2	1	no	—
645	C₂×C₄²	—	2	1	no	—
646	C₂×C₄²	—	2	1	no	—
647	C₂×C₄²	—	2	1	no	—
648	C₂×C₄²	—	2	1	no	—
649	C₂×C₄²	—	2	1	no	—
650	C₂×C₄²	—	2	1	no	—
651	C₂×C₄²	—	2	1	no	—
652	C₂×C₄²	—	2	1	no	—
653	C₂×C₄²	—	2	1	no	—
654	C₂×C₄²	—	4	4	no	—
655	C₂×C₄²	—	8	2	no	—
656	C₂×C₄²	—	8	2	no	—
657	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
658	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
659	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
660	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
661	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
662	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
663	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
664	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
665	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
666	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
667	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
668	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
670	C₂×C₄²	C₂⁴	1	1	yes	characteristic
671	C₂×C₄²	C₂⁴	1	1	yes	characteristic
672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
676	#107	—	2	2	no	—
677	#107	—	2	2	no	—
678	#107	—	2	2	no	—
679	#107	—	4	1	no	—
680	#107	—	4	1	no	—
681	#107	—	4	1	no	—
682	#107	—	4	1	no	—
683	#107	—	4	1	no	—
684	#107	—	4	1	no	—
685	#106	—	2	2	no	—
686	#106	—	2	2	no	—
687	#106	—	2	2	no	—
688	#106	—	4	1	no	—
689	#106	—	4	1	no	—
690	#106	—	4	1	no	—
691	#106	—	4	1	no	—
692	#106	—	4	1	no	—
693	#106	—	4	1	no	—
694	C₄⋊C₈	—	2	2	no	—
695	C₄⋊C₈	—	2	2	no	—
696	C₄⋊C₈	—	2	2	no	—
697	C₄⋊C₈	—	2	2	no	—
698	C₄⋊C₈	—	2	2	no	—
699	C₄⋊C₈	—	4	1	no	—
700	C₄⋊C₈	—	4	1	no	—
701	C₄⋊C₈	C₂×Q₈	1	4	yes	—
702	#103	—	2	2	no	—
703	#103	—	2	2	no	—
704	#103	—	2	2	no	—
705	#103	—	4	1	no	—
706	#103	—	4	1	no	—
707	#103	—	4	1	no	—
708	#103	C₂×Q₈	1	4	yes	—
709	#102	—	2	2	no	—
710	#102	—	2	2	no	—
711	#102	—	2	2	no	—
712	#102	—	2	2	no	—
713	#102	—	2	2	no	—
714	#102	—	2	2	no	—
715	#102	—	2	2	no	—
716	#102	—	2	2	no	—
717	#102	—	2	2	no	—
718	#102	—	4	1	no	—
719	#102	—	4	1	no	—
720	#102	—	4	1	no	—
721	#102	C₂×Q₈	1	4	yes	—
722	#97	—	2	2	no	—
723	#97	—	2	2	no	—
724	#97	—	4	1	no	—
725	#97	—	4	1	no	—
726	C₄×C₈	—	4	1	no	—
727	C₄×C₈	—	4	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	—	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	C₂×D₄	1	1	yes	characteristic
768	#95	C₂×D₄	1	1	yes	characteristic
769	#95	C₂×D₄	1	1	yes	characteristic
770	#95	C₂×D₄	1	1	yes	characteristic
771	#95	C₂×D₄	1	1	yes	characteristic
772	#95	C₂×D₄	1	1	yes	characteristic
773	C₂⁴	—	2	1	no	—
774	C₂⁴	—	2	1	no	—
775	C₂×Q₈	—	2	4	no	—
776	C₂×Q₈	—	2	2	no	—
777	C₂×Q₈	—	2	2	no	—
778	C₂×Q₈	—	2	1	no	—
779	C₂×Q₈	—	2	1	no	—
780	C₂×Q₈	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×Q₈	—	2	1	no	—
783	C₂×Q₈	—	4	1	no	—
784	C₂×Q₈	—	8	1	no	—
785	C₂×Q₈	—	8	1	no	—
786	C₂×Q₈	C₂²×Q₈	1	2	yes	—
787	C₂×D₄	—	2	1	no	—
788	C₂×D₄	—	2	1	no	—
789	C₂×D₄	—	2	1	no	—
790	C₂×D₄	—	2	1	no	—
791	C₂×D₄	—	2	1	no	—
792	C₂×D₄	—	2	1	no	—
793	C₂×D₄	—	2	1	no	—
794	C₂×D₄	—	2	1	no	—
795	C₂×D₄	C₂²×Q₈	1	2	yes	—
796	C₂×D₄	C₂²×Q₈	1	2	yes	—
797	C₂×D₄	C₂×#41	1	2	yes	—
798	C₂×D₄	H(5,𝔽₂)	1	2	yes	—
799	C₂²×C₄	—	2	4	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	4	no	—
806	C₂²×C₄	—	2	4	no	—
807	C₂²×C₄	—	2	4	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	—	4	2	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	—	4	2	no	—
821	C₂²×C₄	—	4	2	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	2	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	2	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	8	1	no	—
833	C₂²×C₄	—	8	1	no	—
834	C₂²×C₄	—	8	1	no	—
835	C₂²×C₄	—	8	1	no	—
836	C₂²×C₄	—	8	1	no	—
837	C₂²×C₄	—	8	1	no	—
838	C₂²×C₄	—	8	1	no	—
839	C₂²×C₄	—	8	1	no	—
840	C₂²×C₄	—	8	1	no	—
841	C₂²×C₄	—	8	1	no	—
842	C₂²×C₄	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
848	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
849	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
850	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
851	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
852	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
853	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
854	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
855	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
857	C₂²×C₄	C₂⁵	1	1	yes	characteristic
858	SD₁₆	—	2	8	no	—
859	D₈	—	2	8	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	—	2	1	no	—
878	C₂×C₈	—	2	1	no	—
879	C₂×C₈	—	2	1	no	—
880	C₂×C₈	—	2	1	no	—
881	C₂×C₈	—	2	1	no	—
882	C₂×C₈	C₂²×Q₈	1	2	yes	—
883	C₂×C₈	C₂²×Q₈	1	2	yes	—
884	C₄⋊C₄	—	2	4	no	—
885	C₄⋊C₄	—	2	4	no	—
886	C₄⋊C₄	—	2	4	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	4	no	—
889	C₄⋊C₄	—	2	4	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	2	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	—	2	1	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	4	1	no	—
918	C₄⋊C₄	—	4	1	no	—
919	C₄⋊C₄	—	4	1	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	—	8	1	no	—
931	C₄⋊C₄	—	8	1	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	—	8	1	no	—
945	C₄⋊C₄	—	8	1	no	—
946	C₄⋊C₄	—	8	1	no	—
947	C₄⋊C₄	C₂²×Q₈	1	2	yes	—
948	C₄⋊C₄	C₂×#41	1	2	yes	—
949	C₄⋊C₄	C₂×#41	1	2	yes	—
950	C₄⋊C₄	C₂×#41	1	2	yes	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	4	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	2	4	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	—	8	1	no	—
964	C₂²⋊C₄	—	8	1	no	—
965	C₂²⋊C₄	—	8	1	no	—
966	C₂²⋊C₄	—	8	1	no	—
967	C₂²⋊C₄	—	8	1	no	—
968	C₂²⋊C₄	—	8	1	no	—
969	C₄²	—	2	2	no	—
970	C₄²	—	2	2	no	—
971	C₄²	—	2	1	no	—
972	C₄²	—	2	1	no	—
973	C₄²	—	2	1	no	—
974	C₄²	—	2	1	no	—
975	C₄²	—	2	1	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	4	1	no	—
982	C₄²	—	4	1	no	—
983	C₄²	—	4	1	no	—
984	C₄²	—	4	1	no	—
985	C₄²	—	4	1	no	—
986	C₄²	—	4	1	no	—
987	C₄²	—	4	1	no	—
988	C₄²	—	4	1	no	—
989	C₄²	—	4	1	no	—
990	C₄²	—	4	1	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	—	8	1	no	—
998	C₄²	—	8	1	no	—
999	C₄²	—	8	1	no	—
1000	C₄²	—	8	1	no	—
1001	C₄²	—	8	1	no	—
1002	C₄²	—	8	1	no	—
1003	C₄²	C₂²×Q₈	1	2	yes	—
1004	C₄²	C₂×#41	1	2	yes	—
1005	C₄²	C₂×#41	1	2	yes	—
1006	C₄²	2₋¹⁺⁴	1	2	yes	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	4	1	no	—
1012	C₂³	—	4	1	no	—
1013	C₂³	—	4	1	no	—
1014	C₂³	—	4	1	no	—
1015	C₂³	—	4	1	no	—
1016	C₂³	—	4	1	no	—
1017	C₂³	—	4	1	no	—
1018	C₂³	—	4	1	no	—
1019	C₂³	—	4	1	no	—
1020	C₂³	—	4	1	no	—
1021	C₂³	C₂³×D₄	1	1	yes	characteristic
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	4	4	no	—
1025	Q₈	—	4	1	no	—
1026	Q₈	—	4	1	no	—
1027	Q₈	—	8	4	no	—
1028	D₄	—	2	2	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	2	2	no	—
1032	D₄	—	2	2	no	—
1033	D₄	—	4	1	no	—
1034	D₄	—	4	1	no	—
1035	D₄	#554	1	4	yes	—
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	1	no	—
1049	C₂×C₄	—	2	1	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	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	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	1	no	—
1077	C₂×C₄	—	4	8	no	—
1078	C₂×C₄	—	4	8	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	—	8	4	no	—
1117	C₂×C₄	—	8	4	no	—
1118	C₂×C₄	—	8	4	no	—
1119	C₂×C₄	—	8	4	no	—
1120	C₂×C₄	—	8	4	no	—
1121	C₂×C₄	—	8	4	no	—
1122	C₂×C₄	—	16	2	no	—
1123	C₂×C₄	—	16	2	no	—
1124	C₂×C₄	#525	1	2	yes	—
1125	C₂×C₄	#525	1	2	yes	—
1126	C₂×C₄	D₄×Q₈	1	2	yes	—
1127	C₂×C₄	D₄×Q₈	1	2	yes	—
1128	C₂×C₄	#575	1	2	yes	—
1129	C₂×C₄	#575	1	2	yes	—
1130	C₂×C₄	C₂³×Q₈	1	1	yes	characteristic
1131	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1132	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1133	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1134	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1135	C₂×C₄	#585	1	1	yes	characteristic
1136	C₈	—	2	2	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	4	1	no	—
1139	C₈	—	4	1	no	—
1140	C₈	—	4	1	no	—
1141	C₈	—	4	1	no	—
1142	C₈	—	4	1	no	—
1143	C₈	—	4	1	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	8	1	no	—
1155	C₂²	—	8	1	no	—
1156	C₂²	—	8	1	no	—
1157	C₂²	—	8	1	no	—
1158	C₂²	C₂×#525	1	1	yes	characteristic
1159	C₂²	C₂×D₄×Q₈	1	1	yes	characteristic
1160	C₂²	#3488	1	1	yes	characteristic
1161	C₂²	C₂×#575	1	1	yes	characteristic
1162	C₂²	C₂×#575	1	1	yes	characteristic
1163	C₂²	#3584	1	1	yes	characteristic
1164	C₂²	#3585	1	1	yes	characteristic
1165	C₄	—	2	2	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	1	no	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	2	no	—
1182	C₄	—	4	2	no	—
1183	C₄	—	4	2	no	—
1184	C₄	—	8	1	no	—
1185	C₄	—	8	1	no	—
1186	C₄	—	8	1	no	—
1187	C₄	—	8	1	no	—
1188	C₄	—	8	1	no	—
1189	C₄	—	8	1	no	—
1190	C₄	—	8	1	no	—
1191	C₄	—	8	1	no	—
1192	C₄	—	8	1	no	—
1193	C₄	C₂×#554	1	1	yes	characteristic
1194	C₄	Q₈×#41	1	1	yes	characteristic
1195	C₄	#3507	1	1	yes	characteristic
1196	C₄	#3522	1	1	yes	characteristic
1197	C₂	—	4	4	no	—
1198	C₂	—	8	2	no	—
1199	C₂	#36544	1	1	yes	characteristic
1200	C₂	#60563	1	1	yes	characteristic
1201	C₂	#60601	1	1	yes	characteristic
1202	C₂	#61365	1	1	yes	characteristic
1203	C₂	#61367	1	1	yes	characteristic
1204	C₂	#61974	1	1	yes	characteristic
1205	C₂	#61990	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×D₈	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄²×Q₈ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #36555	C₂	semidirect
2. C₄×#554	C₂	semidirect
3. #33199	C₂	semidirect
4. #33070	C₂	semidirect
5. #33070	C₂	semidirect
6. #29318	C₂	semidirect
7. #29315	C₂	semidirect
8. #29262	C₂	semidirect
9. #29261	C₂	semidirect
10. #29214	C₂	semidirect
11. #28285	C₂	semidirect
12. #27020	C₂	semidirect
13. #27018	C₂	semidirect
14. #27008	C₂	semidirect
15. #27006	C₂	semidirect
16. #26398	C₂	semidirect
18. #26378	C₂	semidirect
20. #25074	C₂	semidirect
21. #25072	C₂	semidirect
22. #24349	C₂	semidirect
24. #22980	C₂	semidirect
25. #22978	C₂	semidirect
26. #22823	C₂	semidirect
27. #22678	C₂	semidirect
244. #463	Q₈	semidirect

Maximal subgroups

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

subgroup	index
#36555	2
C₄×#554	2
#33199	2
#33070	2
#29318	2
#29315	2
#29262	2
#29261	2
#29214	2
#28285	2
#27020	2
#27018	2
#27008	2
#27006	2
#26398	2
#26390	2
#26378	2
#26370	2
#25074	2
#25072	2
#24349	2
#24347	2
#22980	2
#22978	2
#22823	2
#22678	2
#22676	2
#21507	2
C₄×#463	2