Subgroups — #6604985

Order 512.

1564 conjugacy classes of subgroups.

The subgroup lattice has 1222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#38273	C₂	1	1	yes	maximal, characteristic, complemented
2	#34261	C₂	1	1	yes	maximal, characteristic
3	#33074	C₂	1	1	yes	maximal, characteristic, complemented
4	#33066	C₂	1	1	yes	maximal, characteristic, complemented
5	#32962	C₂	1	1	yes	maximal, characteristic
6	#29590	C₂	1	1	yes	maximal, characteristic, complemented
7	#29574	C₂	1	1	yes	maximal, characteristic, complemented
8	#29543	C₂	1	1	yes	maximal, characteristic, complemented
9	#29538	C₂	1	1	yes	maximal, characteristic, complemented
10	#27886	C₂	1	1	yes	maximal, characteristic, complemented
11	#27643	C₂	1	1	yes	maximal, characteristic, complemented
12	#27541	C₂	1	1	yes	maximal, characteristic
13	#27518	C₂	1	1	yes	maximal, characteristic
14	#27467	C₂	1	1	yes	maximal, characteristic, complemented
15	#27465	C₂	1	1	yes	maximal, characteristic, complemented
16	#27188	C₂	1	1	yes	maximal, characteristic, complemented
17	#27168	C₂	1	1	yes	maximal, characteristic, complemented
18	#26119	C₂	1	1	yes	maximal, characteristic, complemented
19	#26096	C₂	1	1	yes	maximal, characteristic, complemented
20	#24905	C₂	1	1	yes	maximal, characteristic
21	#24901	C₂	1	1	yes	maximal, characteristic
22	#24815	C₂	1	1	yes	maximal, characteristic, complemented
23	#24696	C₂	1	1	yes	maximal, characteristic, complemented
24	#23060	C₂	1	1	yes	maximal, characteristic, complemented
25	#22975	C₂	1	1	yes	maximal, characteristic, complemented
26	#22781	C₂	1	1	yes	maximal, characteristic, complemented
27	#22683	C₂	1	1	yes	maximal, characteristic, complemented
28	#22637	C₂	1	1	yes	maximal, characteristic, complemented
29	#21459	C₂	1	1	yes	maximal, characteristic
30	#21130	C₂	1	1	yes	maximal, characteristic, complemented
31	#21114	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#518	C₂²	1	1	yes	characteristic
33	C₂×#476	C₂²	1	1	yes	characteristic
34	C₂×#474	C₂²	1	1	yes	characteristic
35	C₂×#450	C₂²	1	1	yes	characteristic
36	C₂×#440	C₂²	1	1	yes	characteristic
37	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
38	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
39	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
40	#2859	C₂²	1	1	yes	characteristic, complemented
41	#2775	—	2	1	no	—
42	#2774	—	2	1	no	—
43	#2773	—	2	1	no	—
44	#2767	—	2	1	no	—
45	#2647	C₂²	1	1	yes	characteristic, complemented
46	#2628	C₂²	1	1	yes	characteristic
47	#2604	—	2	1	no	—
48	#2570	C₂²	1	1	yes	characteristic, complemented
49	#2567	C₂²	1	1	yes	characteristic, complemented
50	#2533	—	2	1	no	—
51	#2519	—	2	1	no	—
52	#2497	C₂²	1	1	yes	characteristic
53	#2496	C₂²	1	1	yes	characteristic
54	#2462	—	2	1	no	—
55	#2423	C₂²	1	1	yes	characteristic
56	#2421	C₂²	1	1	yes	characteristic
57	#2365	C₂²	1	1	yes	characteristic, complemented
58	#2357	C₂²	1	1	yes	characteristic
59	#2354	C₂²	1	1	yes	characteristic
60	#2353	—	2	1	no	—
61	#2352	—	2	1	no	—
62	#2351	C₂²	1	1	yes	characteristic, complemented
63	#2349	C₂²	1	1	yes	characteristic
64	D₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	#2347	C₂²	1	1	yes	characteristic
66	#2346	C₂²	1	1	yes	characteristic
67	#2342	—	2	1	no	—
68	#2342	—	2	1	no	—
69	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#2323	C₂²	1	1	yes	characteristic
72	#2320	C₂²	1	1	yes	characteristic, complemented
73	#2319	C₂²	1	1	yes	characteristic
74	#2318	—	2	1	no	—
75	#2314	C₂²	1	1	yes	characteristic
76	#2312	—	2	1	no	—
77	#2298	C₂²	1	1	yes	characteristic
78	#2295	C₂²	1	1	yes	characteristic, complemented
79	#2293	C₂²	1	1	yes	characteristic
80	#2290	—	2	1	no	—
81	C₂×#388	—	2	1	no	—
82	#2275	C₂²	1	1	yes	characteristic
83	C₄²×D₄	C₂²	1	1	yes	characteristic
84	#2101	C₂²	1	1	yes	characteristic, complemented
85	#2100	C₂²	1	1	yes	characteristic, complemented
86	#2094	C₂²	1	1	yes	characteristic
87	#2092	C₂²	1	1	yes	characteristic
88	#2087	C₂²	1	1	yes	characteristic, complemented
89	#2086	C₂²	1	1	yes	characteristic, complemented
90	#2084	C₂²	1	1	yes	characteristic, complemented
91	#2084	C₂²	1	1	yes	characteristic, complemented
92	#2077	C₂²	1	1	yes	characteristic
93	#2077	C₂²	1	1	yes	characteristic
94	#2076	C₂²	1	1	yes	characteristic
95	#2076	C₂²	1	1	yes	characteristic
96	#2075	C₂²	1	1	yes	characteristic
97	#2075	C₂²	1	1	yes	characteristic
98	#2071	C₂²	1	1	yes	characteristic
99	#2071	C₂²	1	1	yes	characteristic
100	#2067	C₂²	1	1	yes	characteristic
101	#2067	C₂²	1	1	yes	characteristic
102	#2066	C₂²	1	1	yes	characteristic, complemented
103	#2066	C₂²	1	1	yes	characteristic, complemented
104	#2055	C₂²	1	1	yes	characteristic
105	#2055	C₂²	1	1	yes	characteristic
106	#2036	C₂²	1	1	yes	characteristic
107	#2035	C₂²	1	1	yes	characteristic
108	#1993	C₂²	1	1	yes	characteristic, complemented
109	#1990	C₂²	1	1	yes	characteristic, complemented
110	#1949	C₂²	1	1	yes	characteristic, complemented
111	#1949	C₂²	1	1	yes	characteristic, complemented
112	#1947	C₂²	1	1	yes	characteristic, complemented
113	#1947	C₂²	1	1	yes	characteristic, complemented
114	#1947	C₂²	1	1	yes	characteristic, complemented
115	#1947	C₂²	1	1	yes	characteristic, complemented
116	#1944	C₂²	1	1	yes	characteristic, complemented
117	#1941	C₂²	1	1	yes	characteristic, complemented
118	#1941	C₂²	1	1	yes	characteristic, complemented
119	#1941	C₂²	1	1	yes	characteristic, complemented
120	#1940	C₂²	1	1	yes	characteristic, complemented
121	#1939	C₂²	1	1	yes	characteristic, complemented
122	#1936	C₂²	1	1	yes	characteristic
123	#1934	C₂²	1	1	yes	characteristic
124	#1934	C₂²	1	1	yes	characteristic
125	#1934	C₂²	1	1	yes	characteristic
126	#1928	C₂²	1	1	yes	characteristic, complemented
127	#1928	C₂²	1	1	yes	characteristic, complemented
128	#1928	C₂²	1	1	yes	characteristic, complemented
129	#1928	C₂²	1	1	yes	characteristic, complemented
130	#1925	C₂²	1	1	yes	characteristic
131	#1925	C₂²	1	1	yes	characteristic
132	#1924	C₂²	1	1	yes	characteristic
133	#1923	C₂²	1	1	yes	characteristic
134	#1923	C₂²	1	1	yes	characteristic
135	#1923	C₂²	1	1	yes	characteristic
136	#1921	C₂²	1	1	yes	characteristic, complemented
137	#1921	C₂²	1	1	yes	characteristic, complemented
138	#1920	C₂²	1	1	yes	characteristic, complemented
139	#1920	C₂²	1	1	yes	characteristic, complemented
140	#1920	C₂²	1	1	yes	characteristic, complemented
141	#1920	C₂²	1	1	yes	characteristic, complemented
142	#1919	C₂²	1	1	yes	characteristic, complemented
143	#1919	C₂²	1	1	yes	characteristic, complemented
144	#1919	C₂²	1	1	yes	characteristic, complemented
145	#1918	C₂²	1	1	yes	characteristic, complemented
146	#1918	C₂²	1	1	yes	characteristic, complemented
147	#1918	C₂²	1	1	yes	characteristic, complemented
148	#1918	C₂²	1	1	yes	characteristic, complemented
149	#1918	C₂²	1	1	yes	characteristic, complemented
150	#1880	C₂²	1	1	yes	characteristic
151	#1880	C₂²	1	1	yes	characteristic
152	#1877	C₂²	1	1	yes	characteristic
153	#1877	C₂²	1	1	yes	characteristic
154	#1877	C₂²	1	1	yes	characteristic
155	#1877	C₂²	1	1	yes	characteristic
156	#1873	C₂²	1	1	yes	characteristic
157	#1864	C₂²	1	1	yes	characteristic
158	#1864	C₂²	1	1	yes	characteristic
159	#1864	C₂²	1	1	yes	characteristic
160	#1864	C₂²	1	1	yes	characteristic
161	#1863	C₂²	1	1	yes	characteristic, complemented
162	#1863	C₂²	1	1	yes	characteristic, complemented
163	#1862	C₂²	1	1	yes	characteristic
164	#1862	C₂²	1	1	yes	characteristic
165	#1862	C₂²	1	1	yes	characteristic
166	#1862	C₂²	1	1	yes	characteristic
167	#1862	C₂²	1	1	yes	characteristic
168	#1862	C₂²	1	1	yes	characteristic
169	#1862	C₂²	1	1	yes	characteristic
170	#1862	C₂²	1	1	yes	characteristic
171	#1854	C₂²	1	1	yes	characteristic
172	#1854	C₂²	1	1	yes	characteristic
173	#1854	C₂²	1	1	yes	characteristic
174	#1846	C₂²	1	1	yes	characteristic, complemented
175	#1836	C₂²	1	1	yes	characteristic, complemented
176	#1832	C₂²	1	1	yes	characteristic, complemented
177	#1831	C₂²	1	1	yes	characteristic, complemented
178	#1805	C₂²	1	1	yes	characteristic, complemented
179	#1804	C₂²	1	1	yes	characteristic
180	#1804	C₂²	1	1	yes	characteristic
181	#1804	C₂²	1	1	yes	characteristic
182	#1803	C₂²	1	1	yes	characteristic, complemented
183	#1802	C₂²	1	1	yes	characteristic
184	#1802	C₂²	1	1	yes	characteristic
185	#1802	C₂²	1	1	yes	characteristic
186	#1798	C₂²	1	1	yes	characteristic
187	#1786	C₂²	1	1	yes	characteristic
188	#1786	C₂²	1	1	yes	characteristic
189	#1786	C₂²	1	1	yes	characteristic
190	C₄×#107	C₂²	1	1	yes	characteristic, complemented
191	C₄×#107	C₂²	1	1	yes	characteristic, complemented
192	#1771	C₂²	1	1	yes	characteristic, complemented
193	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	#1763	C₂²	1	1	yes	characteristic, complemented
195	#1762	C₂²	1	1	yes	characteristic
196	#1762	C₂²	1	1	yes	characteristic
197	C₄×#103	C₂²	1	1	yes	characteristic, complemented
198	C₄×#102	C₂²	1	1	yes	characteristic
199	C₄×#102	C₂²	1	1	yes	characteristic
200	#1750	C₂²	1	1	yes	characteristic
201	#1746	C₂²	1	1	yes	characteristic, complemented
202	#1744	C₂²	1	1	yes	characteristic, complemented
203	C₂³×D₄	C₂³	1	1	yes	characteristic
204	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
207	C₂×#126	—	2	1	no	—
208	C₂×#125	—	2	1	no	—
209	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
210	#518	—	2	4	no	—
211	#518	—	2	4	no	—
212	C₂×C₄×Q₈	—	2	1	no	—
213	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
214	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
215	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₄	—	2	1	no	—
217	C₂×C₄×D₄	—	2	1	no	—
218	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₄	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×#117	—	2	1	no	—
227	C₂×#117	—	2	1	no	—
228	C₂×#117	C₂³	1	1	yes	characteristic
229	C₂×#117	C₂³	1	1	yes	characteristic
230	C₂²×C₄⋊C₄	—	2	1	no	—
231	C₂²×C₂²⋊C₄	—	2	1	no	—
232	C₂²×C₂²⋊C₄	—	2	1	no	—
233	C₂²×C₂²⋊C₄	—	2	1	no	—
234	C₂²×C₂²⋊C₄	—	2	1	no	—
235	C₂²×C₄²	—	2	1	no	—
236	#476	—	2	4	no	—
237	#474	—	2	4	no	—
238	#450	—	2	4	no	—
239	#440	—	2	4	no	—
240	C₄×SD₁₆	—	2	4	no	—
241	C₄×SD₁₆	—	2	4	no	—
242	C₄×SD₁₆	—	2	4	no	—
243	C₂×#107	C₂³	1	1	yes	characteristic
244	C₂×#107	C₂³	1	1	yes	characteristic
245	C₂×#107	C₂³	1	1	yes	characteristic
246	C₂×#107	C₂³	1	1	yes	characteristic
247	C₂×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
252	C₂×#106	C₂³	1	1	yes	characteristic
253	C₂×#106	C₂³	1	1	yes	characteristic
254	C₂×#106	C₂³	1	1	yes	characteristic
255	C₂×#106	C₂³	1	1	yes	characteristic
256	C₂×#106	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×#103	C₂³	1	1	yes	characteristic
264	C₂×#103	C₂³	1	1	yes	characteristic
265	C₂×#103	C₂³	1	1	yes	characteristic
266	C₂×#103	C₂³	1	1	yes	characteristic
267	C₂×#103	C₂³	1	1	yes	characteristic
268	C₂×#103	C₂³	1	1	yes	characteristic
269	C₂×#102	C₂³	1	1	yes	characteristic
270	C₂×#102	C₂³	1	1	yes	characteristic
271	C₂×#102	C₂³	1	1	yes	characteristic
272	C₂×#102	C₂³	1	1	yes	characteristic
273	C₂×#102	C₂³	1	1	yes	characteristic
274	C₂×#102	C₂³	1	1	yes	characteristic
275	C₂×#102	C₂³	1	1	yes	characteristic
276	C₂×#102	C₂³	1	1	yes	characteristic
277	C₂×#102	C₂³	1	1	yes	characteristic
278	C₂×#102	C₂³	1	1	yes	characteristic
279	C₂×#102	C₂³	1	1	yes	characteristic
280	C₂×#102	C₂³	1	1	yes	characteristic
281	C₂×#102	C₂³	1	1	yes	characteristic
282	C₂×#102	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×#97	C₂³	1	1	yes	characteristic
288	C₂×#97	C₂³	1	1	yes	characteristic
289	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
293	#400	—	2	1	no	—
294	#400	—	2	1	no	—
295	#400	—	2	1	no	—
296	#400	—	2	1	no	—
297	#400	—	2	1	no	—
298	#400	—	2	1	no	—
299	#400	—	2	1	no	—
300	#399	—	2	1	no	—
301	#399	—	2	1	no	—
302	#398	—	2	1	no	—
303	#398	—	2	1	no	—
304	#398	—	2	1	no	—
305	#398	—	2	1	no	—
306	#397	—	2	1	no	—
307	#397	—	2	1	no	—
308	#396	—	2	1	no	—
309	#395	—	2	1	no	—
310	#395	—	2	1	no	—
311	#395	—	2	1	no	—
312	#393	—	2	1	no	—
313	#391	—	2	1	no	—
314	#391	C₂³	1	1	yes	characteristic
315	#391	C₂³	1	1	yes	characteristic
316	#391	C₂³	1	1	yes	characteristic
317	#390	C₂³	1	1	yes	characteristic
318	#390	C₂³	1	1	yes	characteristic
319	#390	C₂³	1	1	yes	characteristic
320	#390	C₂³	1	1	yes	characteristic
321	#389	—	2	1	no	—
322	#389	—	2	1	no	—
323	#389	—	2	1	no	—
324	#389	—	2	1	no	—
325	#389	—	2	1	no	—
326	#389	—	2	1	no	—
327	#389	—	2	1	no	—
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	#389	C₂³	1	1	yes	characteristic
337	#389	C₂³	1	1	yes	characteristic
338	#389	C₂³	1	1	yes	characteristic
339	#389	C₂³	1	1	yes	characteristic
340	#389	C₂³	1	1	yes	characteristic
341	#388	—	2	1	no	—
342	#388	—	2	1	no	—
343	#388	—	2	1	no	—
344	#388	—	2	1	no	—
345	#388	—	2	1	no	—
346	#388	—	2	1	no	—
347	#388	—	2	1	no	—
348	#388	—	2	1	no	—
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	D₄	1	1	yes	characteristic
361	#388	D₄	1	1	yes	characteristic
362	#388	D₄	1	1	yes	characteristic
363	#388	D₄	1	1	yes	characteristic
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	#387	D₄	1	1	yes	characteristic
380	#387	D₄	1	1	yes	characteristic
381	#387	D₄	1	1	yes	characteristic
382	#387	D₄	1	1	yes	characteristic
383	#386	—	2	1	no	—
384	#386	—	2	1	no	—
385	#386	—	2	1	no	—
386	#386	—	2	1	no	—
387	#385	—	2	1	no	—
388	#385	—	2	1	no	—
389	#385	—	2	1	no	—
390	#385	—	2	1	no	—
391	#384	C₂³	1	1	yes	characteristic
392	#384	C₂³	1	1	yes	characteristic
393	#384	C₂³	1	1	yes	characteristic
394	#384	C₂³	1	1	yes	characteristic
395	#383	—	2	1	no	—
396	#383	—	2	1	no	—
397	#382	—	2	1	no	—
398	#382	—	2	1	no	—
399	#382	—	2	1	no	—
400	#382	—	2	1	no	—
401	#382	C₂³	1	1	yes	characteristic
402	#382	C₂³	1	1	yes	characteristic
403	#382	C₂³	1	1	yes	characteristic
404	#381	—	2	1	no	—
405	#381	—	2	1	no	—
406	#380	—	2	1	no	—
407	#380	—	2	1	no	—
408	#380	—	2	1	no	—
409	#380	—	2	1	no	—
410	#380	C₂³	1	1	yes	characteristic
411	#380	C₂³	1	1	yes	characteristic
412	#380	C₂³	1	1	yes	characteristic
413	#380	C₂³	1	1	yes	characteristic
414	#380	C₂³	1	1	yes	characteristic
415	#379	—	2	1	no	—
416	#379	—	2	1	no	—
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	C₂³	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×C₂²⋊C₄	—	2	1	no	—
432	C₄×C₂²⋊C₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	#376	—	2	1	no	—
442	#376	—	2	1	no	—
443	#376	C₂³	1	1	yes	characteristic
444	C₂×#95	—	2	1	no	—
445	C₂×#95	—	2	1	no	—
446	C₄³	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	#336	C₂³	1	1	yes	characteristic
476	#336	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	C₂⁵	—	2	1	no	—
488	C₂²×Q₈	—	2	1	no	—
489	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
490	C₂²×D₄	—	2	2	no	—
491	C₂²×D₄	—	2	2	no	—
492	C₂²×D₄	—	2	2	no	—
493	C₂²×D₄	—	2	2	no	—
494	C₂²×D₄	—	2	1	no	—
495	C₂²×D₄	—	4	1	no	—
496	C₂²×D₄	—	4	1	no	—
497	C₂²×D₄	C₂⁴	1	1	yes	characteristic
498	C₂²×D₄	C₂⁴	1	1	yes	characteristic
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	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	C₂⁴	1	1	yes	characteristic
508	C₂×SD₁₆	—	2	2	no	—
509	C₂×SD₁₆	—	2	2	no	—
510	C₂×SD₁₆	—	2	2	no	—
511	C₂×SD₁₆	—	2	2	no	—
512	C₂×SD₁₆	—	4	1	no	—
513	C₂×SD₁₆	#41	1	4	yes	—
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	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₂²×C₈	C₂⁴	1	1	yes	characteristic
522	C₄⋊Q₈	—	2	2	no	—
523	C₄⋊Q₈	—	2	2	no	—
524	#126	—	8	2	no	—
525	#125	—	8	2	no	—
526	C₂²⋊Q₈	—	2	2	no	—
527	C₂²⋊Q₈	—	4	1	no	—
528	C₄×Q₈	—	2	2	no	—
529	C₄×Q₈	—	2	2	no	—
530	C₄×Q₈	—	2	2	no	—
531	C₄×Q₈	—	2	2	no	—
532	C₄×Q₈	—	4	1	no	—
533	C₄×Q₈	—	4	1	no	—
534	C₄×Q₈	—	8	2	no	—
535	C₄×D₄	—	2	8	no	—
536	C₄×D₄	—	2	8	no	—
537	C₄×D₄	—	2	2	no	—
538	C₄×D₄	—	2	2	no	—
539	C₄×D₄	—	2	2	no	—
540	C₄×D₄	—	2	2	no	—
541	C₄×D₄	—	2	2	no	—
542	C₄×D₄	—	2	2	no	—
543	C₄×D₄	—	2	2	no	—
544	C₄×D₄	—	2	2	no	—
545	C₄×D₄	—	2	2	no	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	4	1	no	—
548	C₄×D₄	—	4	1	no	—
549	C₄×D₄	—	4	1	no	—
550	C₄×D₄	—	4	1	no	—
551	C₄×D₄	#41	1	4	yes	—
552	C₄×D₄	#41	1	4	yes	—
553	#117	—	2	2	no	—
554	#117	—	2	2	no	—
555	#117	—	2	2	no	—
556	#117	—	2	2	no	—
557	#117	—	8	2	no	—
558	#117	—	8	2	no	—
559	C₂×C₄⋊C₄	—	2	1	no	—
560	C₂×C₄⋊C₄	—	2	1	no	—
561	C₂×C₄⋊C₄	—	2	1	no	—
562	C₂×C₄⋊C₄	—	2	1	no	—
563	C₂×C₄⋊C₄	—	2	1	no	—
564	C₂×C₄⋊C₄	—	2	1	no	—
565	C₂×C₄⋊C₄	—	2	1	no	—
566	C₂×C₄⋊C₄	—	2	1	no	—
567	C₂×C₄⋊C₄	—	2	1	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	—	8	2	no	—
586	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₂×C₂²⋊C₄	—	2	8	no	—
606	C₂×C₂²⋊C₄	—	2	8	no	—
607	C₂×C₂²⋊C₄	—	2	1	no	—
608	C₂×C₂²⋊C₄	—	2	1	no	—
609	C₂×C₂²⋊C₄	—	2	1	no	—
610	C₂×C₂²⋊C₄	—	2	1	no	—
611	C₂×C₂²⋊C₄	—	2	1	no	—
612	C₂×C₂²⋊C₄	—	2	1	no	—
613	C₂×C₂²⋊C₄	—	2	1	no	—
614	C₂×C₂²⋊C₄	—	2	1	no	—
615	C₂×C₂²⋊C₄	—	2	1	no	—
616	C₂×C₂²⋊C₄	—	2	1	no	—
617	C₂×C₂²⋊C₄	—	2	1	no	—
618	C₂×C₂²⋊C₄	—	2	1	no	—
619	C₂×C₂²⋊C₄	—	2	1	no	—
620	C₂×C₂²⋊C₄	—	2	1	no	—
621	C₂×C₂²⋊C₄	—	2	1	no	—
622	C₂×C₂²⋊C₄	—	2	1	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	—	8	2	no	—
631	C₂×C₂²⋊C₄	—	8	2	no	—
632	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₂×C₄²	—	2	1	no	—
639	C₂×C₄²	—	2	1	no	—
640	C₂×C₄²	—	2	1	no	—
641	C₂×C₄²	—	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	—	8	2	no	—
652	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
653	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
654	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
655	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
656	C₂×C₄²	C₂⁴	1	1	yes	characteristic
657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
662	#107	—	2	2	no	—
663	#107	—	2	2	no	—
664	#107	—	2	2	no	—
665	#107	—	4	1	no	—
666	#107	—	4	1	no	—
667	#107	—	4	1	no	—
668	#107	—	4	1	no	—
669	#107	—	4	1	no	—
670	#106	—	2	2	no	—
671	#106	—	2	2	no	—
672	#106	—	2	2	no	—
673	#106	—	2	2	no	—
674	#106	—	2	2	no	—
675	#106	—	4	1	no	—
676	C₄⋊C₈	—	2	2	no	—
677	C₄⋊C₈	—	2	2	no	—
678	C₄⋊C₈	—	4	1	no	—
679	C₄⋊C₈	—	4	1	no	—
680	C₄⋊C₈	—	4	1	no	—
681	C₄⋊C₈	—	4	1	no	—
682	#103	—	2	2	no	—
683	#103	—	2	2	no	—
684	#103	—	2	2	no	—
685	#103	—	2	2	no	—
686	#103	—	4	1	no	—
687	#103	—	4	1	no	—
688	#102	—	2	2	no	—
689	#102	—	2	2	no	—
690	#102	—	2	2	no	—
691	#102	—	2	2	no	—
692	#102	—	2	2	no	—
693	#102	—	2	2	no	—
694	#102	—	2	2	no	—
695	#102	—	2	2	no	—
696	#102	—	2	2	no	—
697	#102	—	2	2	no	—
698	#102	—	2	2	no	—
699	#102	—	4	1	no	—
700	#102	—	4	1	no	—
701	#102	—	4	1	no	—
702	C₂²⋊C₈	—	2	2	no	—
703	C₂²⋊C₈	—	4	1	no	—
704	C₂²⋊C₈	—	4	1	no	—
705	C₂²⋊C₈	—	4	1	no	—
706	#97	—	2	2	no	—
707	#97	—	4	1	no	—
708	C₄×C₈	—	2	2	no	—
709	C₄×C₈	—	2	2	no	—
710	C₄×C₈	—	2	2	no	—
711	C₄×C₈	—	4	1	no	—
712	#95	—	2	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	C₂×D₄	1	1	yes	characteristic
752	#95	C₂×D₄	1	1	yes	characteristic
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	#95	C₂×D₄	1	1	yes	characteristic
762	#95	C₂×D₄	1	1	yes	characteristic
763	C₂⁴	—	2	1	no	—
764	C₂⁴	—	2	4	no	—
765	C₂⁴	—	2	1	no	—
766	C₂⁴	—	4	2	no	—
767	C₂⁴	—	4	2	no	—
768	C₂⁴	—	8	1	no	—
769	C₂⁴	—	8	1	no	—
770	C₂⁴	—	8	1	no	—
771	C₂⁴	—	8	1	no	—
772	C₂⁴	C₂²×D₄	1	1	yes	characteristic
773	C₂×Q₈	—	2	1	no	—
774	C₂×Q₈	—	2	1	no	—
775	C₂×Q₈	—	2	1	no	—
776	C₂×Q₈	—	2	1	no	—
777	C₂×Q₈	—	2	1	no	—
778	C₂×Q₈	—	4	2	no	—
779	C₂×Q₈	—	8	1	no	—
780	C₂×Q₈	—	8	1	no	—
781	C₂×Q₈	C₂×#41	1	2	yes	—
782	C₂×D₄	—	2	4	no	—
783	C₂×D₄	—	2	1	no	—
784	C₂×D₄	—	2	1	no	—
785	C₂×D₄	—	2	1	no	—
786	C₂×D₄	—	2	1	no	—
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	—	4	2	no	—
792	C₂×D₄	—	4	2	no	—
793	C₂×D₄	—	4	4	no	—
794	C₂×D₄	—	4	4	no	—
795	C₂×D₄	—	4	4	no	—
796	C₂×D₄	—	4	4	no	—
797	C₂×D₄	C₂×#41	1	2	yes	—
798	C₂×D₄	C₂×#41	1	2	yes	—
799	C₂×D₄	C₂×#41	1	2	yes	—
800	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	4	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	4	no	—
813	C₂²×C₄	—	2	4	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	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	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	—	8	1	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	—	8	1	no	—
844	C₂²×C₄	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
858	C₂²×C₄	C₂⁵	1	1	yes	characteristic
859	SD₁₆	—	2	8	no	—
860	SD₁₆	—	4	4	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	—	2	1	no	—
883	C₂×C₈	—	2	1	no	—
884	C₂×C₈	C₂×#41	1	2	yes	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	2	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	—	2	1	no	—
913	C₄⋊C₄	—	4	1	no	—
914	C₄⋊C₄	—	4	1	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	—	8	1	no	—
926	C₄⋊C₄	—	8	1	no	—
927	C₄⋊C₄	—	8	1	no	—
928	C₄⋊C₄	—	8	1	no	—
929	C₄⋊C₄	—	8	1	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	C₂×#41	1	2	yes	—
942	C₄⋊C₄	C₂×#41	1	2	yes	—
943	C₂²⋊C₄	—	2	4	no	—
944	C₂²⋊C₄	—	2	4	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	4	no	—
949	C₂²⋊C₄	—	2	4	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	—	8	1	no	—
962	C₂²⋊C₄	—	8	1	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	C₂²⋊C₄	—	8	1	no	—
970	C₂²⋊C₄	—	8	1	no	—
971	C₂²⋊C₄	—	8	1	no	—
972	C₄²	—	2	4	no	—
973	C₄²	—	2	2	no	—
974	C₄²	—	2	2	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	—	2	1	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	4	1	no	—
986	C₄²	—	4	1	no	—
987	C₄²	—	4	2	no	—
988	C₄²	—	4	2	no	—
989	C₄²	—	4	2	no	—
990	C₄²	—	4	2	no	—
991	C₄²	—	4	2	no	—
992	C₄²	—	8	1	no	—
993	C₄²	—	8	1	no	—
994	C₄²	—	8	1	no	—
995	C₄²	—	8	1	no	—
996	C₄²	—	8	1	no	—
997	C₄²	—	8	1	no	—
998	C₄²	—	8	1	no	—
999	C₄²	C₂×#41	1	2	yes	—
1000	C₄²	C₂×#41	1	2	yes	—
1001	C₂³	—	2	2	no	—
1002	C₂³	—	2	2	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	4	8	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	—	4	1	no	—
1022	C₂³	—	4	1	no	—
1023	C₂³	—	8	4	no	—
1024	C₂³	—	8	4	no	—
1025	C₂³	—	16	2	no	—
1026	C₂³	—	16	2	no	—
1027	C₂³	—	16	2	no	—
1028	C₂³	—	16	2	no	—
1029	C₂³	C₂³×D₄	1	1	yes	characteristic
1030	Q₈	—	2	2	no	—
1031	Q₈	—	2	2	no	—
1032	Q₈	—	4	1	no	—
1033	Q₈	—	4	1	no	—
1034	Q₈	—	8	4	no	—
1035	D₄	—	2	2	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	4	8	no	—
1041	D₄	—	4	1	no	—
1042	D₄	—	4	1	no	—
1043	D₄	#552	1	4	yes	—
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	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	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	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	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	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	8	4	no	—
1126	C₂×C₄	—	8	4	no	—
1127	C₂×C₄	—	8	4	no	—
1128	C₂×C₄	—	8	4	no	—
1129	C₂×C₄	—	8	4	no	—
1130	C₂×C₄	—	8	4	no	—
1131	C₂×C₄	—	16	2	no	—
1132	C₂×C₄	—	16	2	no	—
1133	C₂×C₄	#525	1	2	yes	—
1134	C₂×C₄	#525	1	2	yes	—
1135	C₂×C₄	#576	1	2	yes	—
1136	C₂×C₄	#577	1	2	yes	—
1137	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1138	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1139	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1140	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1141	C₂×C₄	#585	1	1	yes	characteristic
1142	C₂×C₄	#585	1	1	yes	characteristic
1143	C₈	—	2	2	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	C₈	—	4	1	no	—
1150	C₈	—	4	1	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	8	1	no	—
1169	C₂²	—	8	1	no	—
1170	C₂²	—	8	1	no	—
1171	C₂²	—	8	1	no	—
1172	C₂²	—	16	8	no	—
1173	C₂²	C₂×#525	1	1	yes	characteristic
1174	C₂²	D₄×#41	1	1	yes	characteristic
1175	C₂²	#3489	1	1	yes	characteristic
1176	C₂²	C₂×#576	1	1	yes	characteristic
1177	C₂²	C₂×#577	1	1	yes	characteristic
1178	C₂²	#3584	1	1	yes	characteristic
1179	C₂²	#3586	1	1	yes	characteristic
1180	C₄	—	2	2	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	1	no	—
1188	C₄	—	4	2	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	2	no	—
1193	C₄	—	4	1	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	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	—	8	1	no	—
1205	C₄	—	8	1	no	—
1206	C₄	—	8	1	no	—
1207	C₄	C₂×#552	1	1	yes	characteristic
1208	C₄	#3475	1	1	yes	characteristic
1209	C₄	#3493	1	1	yes	characteristic
1210	C₄	#3495	1	1	yes	characteristic
1211	C₂	—	4	4	no	—
1212	C₂	—	8	1	no	—
1213	C₂	—	8	2	no	—
1214	C₂	#36234	1	1	yes	characteristic
1215	C₂	#60570	1	1	yes	characteristic
1216	C₂	#60591	1	1	yes	characteristic
1217	C₂	#61474	1	1	yes	characteristic
1218	C₂	#61523	1	1	yes	characteristic
1219	C₂	#62196	1	1	yes	characteristic
1220	C₂	#62199	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂³×D₄	C₂³
LCS	G ▷ C₂²×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
1. #38273	C₂	semidirect
3. #33074	C₂	semidirect
4. #33066	C₂	semidirect
6. #29590	C₂	semidirect
7. #29574	C₂	semidirect
8. #29543	C₂	semidirect
9. #29538	C₂	semidirect
10. #27886	C₂	semidirect
11. #27643	C₂	semidirect
14. #27467	C₂	semidirect
15. #27465	C₂	semidirect
16. #27188	C₂	semidirect
17. #27168	C₂	semidirect
18. #26119	C₂	semidirect
19. #26096	C₂	semidirect
22. #24815	C₂	semidirect
23. #24696	C₂	semidirect
24. #23060	C₂	semidirect
25. #22975	C₂	semidirect
26. #22781	C₂	semidirect
27. #22683	C₂	semidirect
28. #22637	C₂	semidirect
30. #21130	C₂	semidirect
31. #21114	C₂	semidirect
40. #2859	C₂²	semidirect
45. #2647	C₂²	semidirect
48. #2570	C₂²	semidirect
49. #2567	C₂²	semidirect
57. #2365	C₂²	semidirect
62. #2351	C₂²	semidirect
72. #2320	C₂²	semidirect
78. #2295	C₂²	semidirect
84. #2101	C₂²	semidirect
85. #2100	C₂²	semidirect
88. #2087	C₂²	semidirect
89. #2086	C₂²	semidirect
90. #2084	C₂²	semidirect
91. #2084	C₂²	semidirect
102. #2066	C₂²	semidirect
103. #2066	C₂²	semidirect
108. #1993	C₂²	semidirect
109. #1990	C₂²	semidirect
110. #1949	C₂²	semidirect
111. #1949	C₂²	semidirect
112. #1947	C₂²	semidirect
113. #1947	C₂²	semidirect
114. #1947	C₂²	semidirect
115. #1947	C₂²	semidirect
116. #1944	C₂²	semidirect
117. #1941	C₂²	semidirect
118. #1941	C₂²	semidirect
119. #1941	C₂²	semidirect
120. #1940	C₂²	semidirect
121. #1939	C₂²	semidirect
126. #1928	C₂²	semidirect
127. #1928	C₂²	semidirect
128. #1928	C₂²	semidirect
129. #1928	C₂²	semidirect
136. #1921	C₂²	semidirect
137. #1921	C₂²	semidirect
138. #1920	C₂²	semidirect
139. #1920	C₂²	semidirect
140. #1920	C₂²	semidirect
141. #1920	C₂²	semidirect
142. #1919	C₂²	semidirect
143. #1919	C₂²	semidirect
144. #1919	C₂²	semidirect
145. #1918	C₂²	semidirect
146. #1918	C₂²	semidirect
147. #1918	C₂²	semidirect
148. #1918	C₂²	semidirect
149. #1918	C₂²	semidirect
161. #1863	C₂²	semidirect
162. #1863	C₂²	semidirect
174. #1846	C₂²	semidirect
175. #1836	C₂²	semidirect
176. #1832	C₂²	semidirect
177. #1831	C₂²	semidirect
178. #1805	C₂²	semidirect
182. #1803	C₂²	semidirect
190. C₄×#107	C₂²	semidirect
191. C₄×#107	C₂²	semidirect
192. #1771	C₂²	semidirect
193. C₈×C₄⋊C₄	C₂²	semidirect
194. #1763	C₂²	semidirect
197. C₄×#103	C₂²	semidirect
201. #1746	C₂²	semidirect
202. #1744	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#38273	2
#34261	2
#33074	2
#33066	2
#32962	2
#29590	2
#29574	2
#29543	2
#29538	2
#27886	2
#27643	2
#27541	2
#27518	2
#27467	2
#27465	2
#27188	2
#27168	2
#26119	2
#26096	2
#24905	2
#24901	2
#24815	2
#24696	2
#23060	2
#22975	2
#22781	2
#22683	2
#22637	2
#21459	2
#21130	2
#21114	2