Subgroups — #6825290

Order 512.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1211 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#42634	C₂	1	1	yes	maximal, characteristic
2	#42610	C₂	1	1	yes	maximal, characteristic, complemented
3	#33283	C₂	1	1	yes	maximal, characteristic, complemented
4	#32230	C₂	1	1	yes	maximal, characteristic, complemented
5	#32092	C₂	1	1	yes	maximal, characteristic, complemented
6	#32087	C₂	1	1	yes	maximal, characteristic, complemented
7	#31744	C₂	1	1	yes	maximal, characteristic, complemented
8	#31458	C₂	1	1	yes	maximal, characteristic, complemented
9	#31356	C₂	1	1	yes	maximal, characteristic, complemented
10	#31298	C₂	1	1	yes	maximal, characteristic
11	#31294	C₂	1	1	yes	maximal, characteristic
12	#30088	C₂	1	1	yes	maximal, characteristic, complemented
13	#30068	C₂	1	1	yes	maximal, characteristic, complemented
14	#29041	C₂	1	1	yes	maximal, characteristic, complemented
15	#29025	C₂	1	1	yes	maximal, characteristic, complemented
16	#28959	C₂	1	1	yes	maximal, characteristic, complemented
17	#28855	C₂	1	1	yes	maximal, characteristic, complemented
18	#28084	C₂	1	1	yes	maximal, characteristic, complemented
19	#28058	C₂	1	1	yes	maximal, characteristic, complemented
20	#27776	C₂	1	1	yes	maximal, characteristic, complemented
21	#27765	C₂	1	1	yes	maximal, characteristic, complemented
22	#27541	C₂	1	1	yes	maximal, characteristic
23	#27409	C₂	1	1	yes	maximal, characteristic, complemented
24	#27262	C₂	1	1	yes	maximal, characteristic
25	#27262	C₂	1	1	yes	maximal, characteristic
26	#26776	C₂	1	1	yes	maximal, characteristic, complemented
27	#26706	C₂	1	1	yes	maximal, characteristic, complemented
28	#23226	C₂	1	1	yes	maximal, characteristic, complemented
29	#22574	C₂	1	1	yes	maximal, characteristic
30	#21669	C₂	1	1	yes	maximal, characteristic, complemented
31	#21654	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#489	C₂²	1	1	yes	characteristic
33	C₂×#489	C₂²	1	1	yes	characteristic
34	C₂²×#102	C₂²	1	1	yes	characteristic
35	#2833	—	2	1	no	—
36	#2827	—	2	1	no	—
37	#2779	—	2	1	no	—
38	#2776	—	2	1	no	—
39	#2736	—	2	1	no	—
40	#2735	—	2	1	no	—
41	#2713	—	2	1	no	—
42	#2702	—	2	1	no	—
43	#2690	—	2	1	no	—
44	#2690	—	2	1	no	—
45	#2653	—	2	1	no	—
46	#2652	—	2	1	no	—
47	#2647	C₂²	1	1	yes	characteristic, complemented
48	#2640	C₂²	1	1	yes	characteristic
49	#2634	—	2	1	no	—
50	#2626	—	2	1	no	—
51	#2552	C₂²	1	1	yes	characteristic, complemented
52	#2551	C₂²	1	1	yes	characteristic, complemented
53	#2547	C₂²	1	1	yes	characteristic
54	#2545	C₂²	1	1	yes	characteristic
55	#2512	C₂²	1	1	yes	characteristic
56	#2509	C₂²	1	1	yes	characteristic, complemented
57	#2509	C₂²	1	1	yes	characteristic, complemented
58	#2506	C₂²	1	1	yes	characteristic, complemented
59	#2497	C₂²	1	1	yes	characteristic
60	#2495	C₂²	1	1	yes	characteristic
61	#2494	C₂²	1	1	yes	characteristic
62	#2492	C₂²	1	1	yes	characteristic
63	#2480	—	2	1	no	—
64	#2452	C₂²	1	1	yes	characteristic
65	#2448	C₂²	1	1	yes	characteristic
66	#2440	C₂²	1	1	yes	characteristic
67	#2440	C₂²	1	1	yes	characteristic
68	#2435	C₂²	1	1	yes	characteristic
69	#2435	C₂²	1	1	yes	characteristic
70	#2429	—	2	1	no	—
71	#2429	C₂²	1	1	yes	characteristic
72	#2423	C₂²	1	1	yes	characteristic
73	#2401	C₂²	1	1	yes	characteristic
74	#2367	C₂²	1	1	yes	characteristic
75	#2365	C₂²	1	1	yes	characteristic, complemented
76	#2345	C₂²	1	1	yes	characteristic
77	D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	#2331	C₂²	1	1	yes	characteristic, complemented
79	#2326	C₂²	1	1	yes	characteristic
80	#2100	C₂²	1	1	yes	characteristic, complemented
81	#2100	C₂²	1	1	yes	characteristic, complemented
82	#2097	C₂²	1	1	yes	characteristic, complemented
83	#2097	C₂²	1	1	yes	characteristic, complemented
84	#2092	C₂²	1	1	yes	characteristic
85	#2092	C₂²	1	1	yes	characteristic
86	#2088	C₂²	1	1	yes	characteristic, complemented
87	#2087	C₂²	1	1	yes	characteristic, complemented
88	#2084	C₂²	1	1	yes	characteristic, complemented
89	#2083	C₂²	1	1	yes	characteristic, complemented
90	#2076	C₂²	1	1	yes	characteristic
91	#2076	C₂²	1	1	yes	characteristic
92	#2072	C₂²	1	1	yes	characteristic, complemented
93	#2071	C₂²	1	1	yes	characteristic
94	#2071	C₂²	1	1	yes	characteristic
95	#2071	C₂²	1	1	yes	characteristic
96	#2068	C₂²	1	1	yes	characteristic, complemented
97	#2067	C₂²	1	1	yes	characteristic
98	#2067	C₂²	1	1	yes	characteristic
99	#2065	C₂²	1	1	yes	characteristic
100	#2058	C₂²	1	1	yes	characteristic, complemented
101	#2057	C₂²	1	1	yes	characteristic, complemented
102	#2043	C₂²	1	1	yes	characteristic, complemented
103	#2043	C₂²	1	1	yes	characteristic, complemented
104	#2042	C₂²	1	1	yes	characteristic
105	#2042	C₂²	1	1	yes	characteristic
106	#2042	C₂²	1	1	yes	characteristic
107	#2042	C₂²	1	1	yes	characteristic
108	#2042	C₂²	1	1	yes	characteristic
109	#2042	C₂²	1	1	yes	characteristic
110	#2042	C₂²	1	1	yes	characteristic
111	#2042	C₂²	1	1	yes	characteristic
112	#2036	C₂²	1	1	yes	characteristic
113	#2036	C₂²	1	1	yes	characteristic
114	#2035	C₂²	1	1	yes	characteristic
115	#2035	C₂²	1	1	yes	characteristic
116	#2024	C₂²	1	1	yes	characteristic, complemented
117	#2024	C₂²	1	1	yes	characteristic, complemented
118	#2023	C₂²	1	1	yes	characteristic
119	#2023	C₂²	1	1	yes	characteristic
120	#1993	C₂²	1	1	yes	characteristic, complemented
121	#1990	C₂²	1	1	yes	characteristic, complemented
122	#1990	C₂²	1	1	yes	characteristic, complemented
123	#1987	C₂²	1	1	yes	characteristic, complemented
124	#1983	C₂²	1	1	yes	characteristic
125	#1983	C₂²	1	1	yes	characteristic
126	#1981	C₂²	1	1	yes	characteristic, complemented
127	#1959	C₂²	1	1	yes	characteristic
128	#1959	C₂²	1	1	yes	characteristic
129	#1958	C₂²	1	1	yes	characteristic
130	#1958	C₂²	1	1	yes	characteristic
131	#1956	C₂²	1	1	yes	characteristic, complemented
132	#1943	C₂²	1	1	yes	characteristic, complemented
133	#1942	C₂²	1	1	yes	characteristic, complemented
134	#1936	C₂²	1	1	yes	characteristic
135	#1936	C₂²	1	1	yes	characteristic
136	#1936	C₂²	1	1	yes	characteristic
137	#1936	C₂²	1	1	yes	characteristic
138	#1936	C₂²	1	1	yes	characteristic
139	#1935	C₂²	1	1	yes	characteristic, complemented
140	#1935	C₂²	1	1	yes	characteristic, complemented
141	#1935	C₂²	1	1	yes	characteristic, complemented
142	#1935	C₂²	1	1	yes	characteristic, complemented
143	#1934	C₂²	1	1	yes	characteristic
144	#1934	C₂²	1	1	yes	characteristic
145	#1934	C₂²	1	1	yes	characteristic
146	#1934	C₂²	1	1	yes	characteristic
147	#1933	C₂²	1	1	yes	characteristic, complemented
148	#1933	C₂²	1	1	yes	characteristic, complemented
149	#1933	C₂²	1	1	yes	characteristic, complemented
150	#1928	C₂²	1	1	yes	characteristic, complemented
151	#1927	C₂²	1	1	yes	characteristic, complemented
152	#1927	C₂²	1	1	yes	characteristic, complemented
153	#1926	C₂²	1	1	yes	characteristic
154	#1926	C₂²	1	1	yes	characteristic
155	#1926	C₂²	1	1	yes	characteristic
156	#1925	C₂²	1	1	yes	characteristic
157	#1925	C₂²	1	1	yes	characteristic
158	#1924	C₂²	1	1	yes	characteristic
159	#1923	C₂²	1	1	yes	characteristic
160	#1923	C₂²	1	1	yes	characteristic
161	#1921	C₂²	1	1	yes	characteristic, complemented
162	#1920	C₂²	1	1	yes	characteristic, complemented
163	#1919	C₂²	1	1	yes	characteristic, complemented
164	#1919	C₂²	1	1	yes	characteristic, complemented
165	#1917	C₂²	1	1	yes	characteristic, complemented
166	#1916	C₂²	1	1	yes	characteristic, complemented
167	#1916	C₂²	1	1	yes	characteristic, complemented
168	#1892	C₂²	1	1	yes	characteristic
169	#1892	C₂²	1	1	yes	characteristic
170	#1872	C₂²	1	1	yes	characteristic
171	#1872	C₂²	1	1	yes	characteristic
172	#1865	C₂²	1	1	yes	characteristic, complemented
173	#1865	C₂²	1	1	yes	characteristic, complemented
174	#1864	C₂²	1	1	yes	characteristic
175	#1864	C₂²	1	1	yes	characteristic
176	#1863	C₂²	1	1	yes	characteristic, complemented
177	#1863	C₂²	1	1	yes	characteristic, complemented
178	#1862	C₂²	1	1	yes	characteristic
179	#1862	C₂²	1	1	yes	characteristic
180	#1840	C₂²	1	1	yes	characteristic, complemented
181	#1836	C₂²	1	1	yes	characteristic, complemented
182	#1824	C₂²	1	1	yes	characteristic
183	#1807	C₂²	1	1	yes	characteristic
184	#1803	C₂²	1	1	yes	characteristic, complemented
185	#1802	C₂²	1	1	yes	characteristic
186	#1786	C₂²	1	1	yes	characteristic
187	#1786	C₂²	1	1	yes	characteristic
188	#1786	C₂²	1	1	yes	characteristic
189	#1776	C₂²	1	1	yes	characteristic, complemented
190	#1771	C₂²	1	1	yes	characteristic, complemented
191	#1771	C₂²	1	1	yes	characteristic, complemented
192	#1770	C₂²	1	1	yes	characteristic, complemented
193	#1763	C₂²	1	1	yes	characteristic, complemented
194	#1763	C₂²	1	1	yes	characteristic, complemented
195	#1762	C₂²	1	1	yes	characteristic
196	C₄×#103	C₂²	1	1	yes	characteristic, complemented
197	C₄×#102	C₂²	1	1	yes	characteristic
198	C₄×#102	C₂²	1	1	yes	characteristic
199	#1752	C₂²	1	1	yes	characteristic
200	#1752	C₂²	1	1	yes	characteristic
201	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
202	#1726	C₂²	1	1	yes	characteristic, complemented
203	C₂³×D₄	C₂³	1	1	yes	characteristic
204	C₂³×C₈	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Q₈	—	2	1	no	—
206	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₂×#126	—	2	1	no	—
211	C₂×#125	—	2	1	no	—
212	C₂×#125	—	2	1	no	—
213	C₂×#124	C₂³	1	1	yes	characteristic
214	C₂×#124	C₂³	1	1	yes	characteristic
215	C₂×#124	C₂³	1	1	yes	characteristic
216	C₂×#124	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	—	2	1	no	—
218	C₂×C₂²⋊Q₈	—	2	1	no	—
219	C₂×C₂²⋊Q₈	—	2	1	no	—
220	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₄×Q₈	—	2	1	no	—
223	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
224	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊C₄	—	2	1	no	—
229	#489	—	2	4	no	—
230	#489	—	2	4	no	—
231	C₂×#107	C₂³	1	1	yes	characteristic
232	C₂×#107	C₂³	1	1	yes	characteristic
233	C₂×#107	C₂³	1	1	yes	characteristic
234	C₂×#107	C₂³	1	1	yes	characteristic
235	C₂×#106	C₂³	1	1	yes	characteristic
236	C₂×#106	C₂³	1	1	yes	characteristic
237	C₂×#106	C₂³	1	1	yes	characteristic
238	C₂×#106	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×#103	C₂³	1	1	yes	characteristic
243	C₂×#103	C₂³	1	1	yes	characteristic
244	C₂×#103	C₂³	1	1	yes	characteristic
245	C₂×#103	C₂³	1	1	yes	characteristic
246	C₂×#103	C₂³	1	1	yes	characteristic
247	C₂×#103	C₂³	1	1	yes	characteristic
248	C₂×#103	C₂³	1	1	yes	characteristic
249	C₂×#103	C₂³	1	1	yes	characteristic
250	C₂×#103	C₂³	1	1	yes	characteristic
251	C₂×#103	C₂³	1	1	yes	characteristic
252	C₂×#103	C₂³	1	1	yes	characteristic
253	C₂×#103	C₂³	1	1	yes	characteristic
254	C₂×#103	C₂³	1	1	yes	characteristic
255	C₂×#103	C₂³	1	1	yes	characteristic
256	C₂×#103	C₂³	1	1	yes	characteristic
257	C₂×#103	C₂³	1	1	yes	characteristic
258	C₂×#102	—	2	4	no	—
259	C₂×#102	C₂³	1	1	yes	characteristic
260	C₂×#102	C₂³	1	1	yes	characteristic
261	C₂×#102	C₂³	1	1	yes	characteristic
262	C₂×#102	C₂³	1	1	yes	characteristic
263	C₂×#102	C₂³	1	1	yes	characteristic
264	C₂×#102	C₂³	1	1	yes	characteristic
265	C₂×#102	C₂³	1	1	yes	characteristic
266	C₂×#102	C₂³	1	1	yes	characteristic
267	C₂×#102	C₂³	1	1	yes	characteristic
268	C₂×#102	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×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×#97	C₂³	1	1	yes	characteristic
279	C₂×#97	C₂³	1	1	yes	characteristic
280	C₂×#97	C₂³	1	1	yes	characteristic
281	C₂×#97	C₂³	1	1	yes	characteristic
282	C₂×#97	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
287	#401	—	2	1	no	—
288	#401	D₄	1	1	yes	characteristic
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	#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	D₄	1	1	yes	characteristic
300	#400	D₄	1	1	yes	characteristic
301	#400	D₄	1	1	yes	characteristic
302	#399	—	2	1	no	—
303	#399	—	2	1	no	—
304	#398	—	2	1	no	—
305	#398	—	2	1	no	—
306	#398	—	2	1	no	—
307	#398	—	2	1	no	—
308	#398	—	2	1	no	—
309	#398	—	2	1	no	—
310	#398	—	2	1	no	—
311	#398	—	2	1	no	—
312	#398	—	2	1	no	—
313	#397	—	2	1	no	—
314	#397	—	2	1	no	—
315	#397	—	2	1	no	—
316	#397	—	2	1	no	—
317	#397	—	2	1	no	—
318	#397	—	2	1	no	—
319	#397	—	2	1	no	—
320	#397	—	2	1	no	—
321	#397	D₄	1	1	yes	characteristic
322	#397	D₄	1	1	yes	characteristic
323	#397	D₄	1	1	yes	characteristic
324	#396	—	2	1	no	—
325	#396	—	2	1	no	—
326	#396	—	2	1	no	—
327	#396	—	2	1	no	—
328	#396	—	2	1	no	—
329	#396	—	2	1	no	—
330	#396	D₄	1	1	yes	characteristic
331	#395	—	2	1	no	—
332	#395	—	2	1	no	—
333	#395	—	2	1	no	—
334	#395	—	2	1	no	—
335	#394	—	2	1	no	—
336	#394	—	2	1	no	—
337	#394	—	2	1	no	—
338	#394	—	2	1	no	—
339	#393	—	2	1	no	—
340	#393	—	2	1	no	—
341	#393	—	2	1	no	—
342	#393	—	2	1	no	—
343	#391	—	2	1	no	—
344	#391	—	2	1	no	—
345	#391	—	2	1	no	—
346	#391	—	2	1	no	—
347	#391	C₂³	1	1	yes	characteristic
348	#391	C₂³	1	1	yes	characteristic
349	#391	C₂³	1	1	yes	characteristic
350	#391	C₂³	1	1	yes	characteristic
351	#390	C₂³	1	1	yes	characteristic
352	#390	C₂³	1	1	yes	characteristic
353	#390	C₂³	1	1	yes	characteristic
354	#390	C₂³	1	1	yes	characteristic
355	#390	C₂³	1	1	yes	characteristic
356	#390	C₂³	1	1	yes	characteristic
357	#389	—	2	1	no	—
358	#389	—	2	1	no	—
359	#389	—	2	1	no	—
360	#389	—	2	1	no	—
361	#389	—	2	1	no	—
362	#389	C₂³	1	1	yes	characteristic
363	#389	C₂³	1	1	yes	characteristic
364	#389	C₂³	1	1	yes	characteristic
365	#389	C₂³	1	1	yes	characteristic
366	#389	C₂³	1	1	yes	characteristic
367	#389	C₂³	1	1	yes	characteristic
368	#389	C₂³	1	1	yes	characteristic
369	#389	C₂³	1	1	yes	characteristic
370	#389	C₂³	1	1	yes	characteristic
371	#389	C₂³	1	1	yes	characteristic
372	#389	C₂³	1	1	yes	characteristic
373	#389	C₂³	1	1	yes	characteristic
374	#389	C₂³	1	1	yes	characteristic
375	#389	C₂³	1	1	yes	characteristic
376	#388	—	2	1	no	—
377	#388	—	2	1	no	—
378	#388	—	2	1	no	—
379	#388	—	2	1	no	—
380	#388	—	2	1	no	—
381	#388	—	2	1	no	—
382	#388	—	2	1	no	—
383	#388	—	2	1	no	—
384	#388	—	2	1	no	—
385	#388	—	2	1	no	—
386	#388	—	2	1	no	—
387	#388	—	2	1	no	—
388	#388	—	2	1	no	—
389	#388	—	2	1	no	—
390	#388	—	2	1	no	—
391	#387	—	2	1	no	—
392	#387	—	2	1	no	—
393	#387	—	2	1	no	—
394	#387	—	2	1	no	—
395	#387	—	2	1	no	—
396	#387	—	2	1	no	—
397	#387	—	2	1	no	—
398	#387	—	2	1	no	—
399	#387	—	2	1	no	—
400	#387	—	2	1	no	—
401	#387	—	2	1	no	—
402	#387	—	2	1	no	—
403	#386	—	2	1	no	—
404	#386	—	2	1	no	—
405	#385	—	2	1	no	—
406	#385	—	2	1	no	—
407	#385	—	2	1	no	—
408	#385	—	2	1	no	—
409	#385	—	2	1	no	—
410	#385	—	2	1	no	—
411	#384	C₂³	1	1	yes	characteristic
412	#384	C₂³	1	1	yes	characteristic
413	#384	C₂³	1	1	yes	characteristic
414	#384	C₂³	1	1	yes	characteristic
415	#383	—	2	1	no	—
416	#382	C₂³	1	1	yes	characteristic
417	#382	C₂³	1	1	yes	characteristic
418	#380	—	2	1	no	—
419	#380	—	2	1	no	—
420	#380	—	2	1	no	—
421	#380	C₂³	1	1	yes	characteristic
422	#380	C₂³	1	1	yes	characteristic
423	#380	C₂³	1	1	yes	characteristic
424	#380	C₂³	1	1	yes	characteristic
425	#379	—	2	1	no	—
426	#379	—	2	1	no	—
427	#379	—	2	1	no	—
428	#379	—	2	1	no	—
429	#379	—	2	1	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	—	2	1	no	—
440	C₄×C₂²⋊C₄	—	2	1	no	—
441	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
443	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
444	#376	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	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	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	C₂⁵	—	2	1	no	—
482	C₂²×Q₈	—	2	1	no	—
483	C₂²×Q₈	—	2	1	no	—
484	C₂²×Q₈	—	2	1	no	—
485	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
486	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
487	C₂²×D₄	—	2	2	no	—
488	C₂²×D₄	—	2	1	no	—
489	C₂²×D₄	—	4	1	no	—
490	C₂²×D₄	—	4	1	no	—
491	C₂²×D₄	—	4	1	no	—
492	C₂²×D₄	—	4	1	no	—
493	C₂²×D₄	—	4	1	no	—
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	C₂⁴	1	1	yes	characteristic
500	C₂²×C₈	—	2	2	no	—
501	C₂²×C₈	—	4	1	no	—
502	C₂²×C₈	—	4	1	no	—
503	C₂²×C₈	C₂⁴	1	1	yes	characteristic
504	C₂²×C₈	C₂⁴	1	1	yes	characteristic
505	C₂²×C₈	C₂⁴	1	1	yes	characteristic
506	C₂²×C₈	C₂⁴	1	1	yes	characteristic
507	C₂²×C₈	C₂⁴	1	1	yes	characteristic
508	C₂²×C₈	C₂⁴	1	1	yes	characteristic
509	C₂²×C₈	C₂⁴	1	1	yes	characteristic
510	C₂²×C₈	C₂⁴	1	1	yes	characteristic
511	C₄⋊Q₈	—	2	2	no	—
512	C₄⋊Q₈	—	2	2	no	—
513	C₄⋊Q₈	—	4	1	no	—
514	C₄⋊Q₈	—	4	1	no	—
515	C₄⋊Q₈	—	4	1	no	—
516	C₄⋊Q₈	—	4	1	no	—
517	C₄⋊Q₈	—	4	1	no	—
518	C₄⋊Q₈	—	4	1	no	—
519	C₄⋊Q₈	—	8	2	no	—
520	#126	—	8	2	no	—
521	#125	—	8	2	no	—
522	#125	—	8	2	no	—
523	#124	—	2	2	no	—
524	#124	—	2	2	no	—
525	#124	—	4	1	no	—
526	#124	—	4	1	no	—
527	#124	—	4	1	no	—
528	#124	—	4	1	no	—
529	#124	—	4	1	no	—
530	#124	—	4	1	no	—
531	C₂²⋊Q₈	—	4	1	no	—
532	C₂²⋊Q₈	—	4	1	no	—
533	C₂²⋊Q₈	—	4	1	no	—
534	C₂²⋊Q₈	—	4	1	no	—
535	C₂²⋊Q₈	—	8	2	no	—
536	C₂²⋊Q₈	—	8	2	no	—
537	C₂²⋊Q₈	—	8	2	no	—
538	C₄×Q₈	—	4	1	no	—
539	C₄×Q₈	—	4	1	no	—
540	C₄×Q₈	—	4	1	no	—
541	C₄×Q₈	—	4	1	no	—
542	C₄×Q₈	—	8	2	no	—
543	C₄×D₄	—	4	1	no	—
544	C₄×D₄	—	4	1	no	—
545	C₄×D₄	—	4	1	no	—
546	C₄×D₄	—	4	1	no	—
547	C₂×C₄⋊C₄	—	2	2	no	—
548	C₂×C₄⋊C₄	—	2	1	no	—
549	C₂×C₄⋊C₄	—	2	1	no	—
550	C₂×C₄⋊C₄	—	2	1	no	—
551	C₂×C₄⋊C₄	—	2	1	no	—
552	C₂×C₄⋊C₄	—	2	1	no	—
553	C₂×C₄⋊C₄	—	2	1	no	—
554	C₂×C₄⋊C₄	—	2	1	no	—
555	C₂×C₄⋊C₄	—	2	1	no	—
556	C₂×C₄⋊C₄	—	2	1	no	—
557	C₂×C₄⋊C₄	—	2	1	no	—
558	C₂×C₄⋊C₄	—	2	1	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	—	4	1	no	—
581	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
600	C₂×C₂²⋊C₄	—	2	1	no	—
601	C₂×C₂²⋊C₄	—	2	1	no	—
602	C₂×C₂²⋊C₄	—	2	1	no	—
603	C₂×C₂²⋊C₄	—	2	1	no	—
604	C₂×C₂²⋊C₄	—	2	1	no	—
605	C₂×C₂²⋊C₄	—	2	1	no	—
606	C₂×C₂²⋊C₄	—	2	1	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	—	8	2	no	—
628	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₂×C₄²	—	2	1	no	—
635	C₂×C₄²	—	2	1	no	—
636	C₂×C₄²	—	2	1	no	—
637	C₂×C₄²	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
643	C₂×C₄²	C₂⁴	1	1	yes	characteristic
644	C₂×C₄²	C₂⁴	1	1	yes	characteristic
645	C₂×C₄²	C₂⁴	1	1	yes	characteristic
646	C₂×C₄²	C₂⁴	1	1	yes	characteristic
647	C₂×C₄²	C₂⁴	1	1	yes	characteristic
648	#107	—	4	1	no	—
649	#107	—	4	1	no	—
650	#107	—	4	1	no	—
651	#107	—	4	1	no	—
652	#106	—	4	1	no	—
653	#106	—	4	1	no	—
654	#106	—	4	1	no	—
655	#106	—	4	1	no	—
656	C₄⋊C₈	—	4	1	no	—
657	C₄⋊C₈	—	4	1	no	—
658	C₄⋊C₈	—	4	1	no	—
659	#103	—	2	2	no	—
660	#103	—	2	2	no	—
661	#103	—	2	2	no	—
662	#103	—	2	2	no	—
663	#103	—	4	1	no	—
664	#103	—	4	1	no	—
665	#103	—	4	1	no	—
666	#103	—	4	1	no	—
667	#103	—	4	1	no	—
668	#103	—	4	1	no	—
669	#103	—	4	1	no	—
670	#103	—	4	1	no	—
671	#103	—	4	1	no	—
672	#103	—	4	1	no	—
673	#103	—	4	1	no	—
674	#103	—	4	1	no	—
675	#102	—	2	2	no	—
676	#102	—	2	2	no	—
677	#102	—	2	2	no	—
678	#102	—	2	2	no	—
679	#102	—	2	2	no	—
680	#102	—	4	1	no	—
681	#102	—	4	1	no	—
682	#102	—	4	1	no	—
683	#102	—	4	1	no	—
684	#102	—	4	1	no	—
685	#102	—	4	1	no	—
686	#102	—	4	1	no	—
687	#102	—	4	1	no	—
688	#102	—	4	1	no	—
689	#102	—	4	1	no	—
690	#102	#41	1	4	yes	—
691	C₂²⋊C₈	—	4	1	no	—
692	C₂²⋊C₈	—	4	1	no	—
693	C₂²⋊C₈	—	4	1	no	—
694	#97	—	2	2	no	—
695	#97	—	2	2	no	—
696	#97	—	4	1	no	—
697	#97	—	4	1	no	—
698	#97	—	4	1	no	—
699	C₄×C₈	—	4	1	no	—
700	C₄×C₈	—	4	1	no	—
701	C₄×C₈	—	4	1	no	—
702	C₄×C₈	—	4	1	no	—
703	#95	—	2	1	no	—
704	#95	—	2	1	no	—
705	#95	—	2	1	no	—
706	#95	—	2	1	no	—
707	#95	—	2	1	no	—
708	#95	—	2	1	no	—
709	#95	—	2	1	no	—
710	#95	—	2	1	no	—
711	#95	—	2	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	C₂×D₄	1	1	yes	characteristic
740	#95	C₂×D₄	1	1	yes	characteristic
741	#95	C₂×D₄	1	1	yes	characteristic
742	#95	C₂×D₄	1	1	yes	characteristic
743	#95	C₂×D₄	1	1	yes	characteristic
744	#95	C₂×D₄	1	1	yes	characteristic
745	#95	C₂×D₄	1	1	yes	characteristic
746	#95	C₂×D₄	1	1	yes	characteristic
747	#95	C₂×D₄	1	1	yes	characteristic
748	#95	C₂×D₄	1	1	yes	characteristic
749	#95	C₂×D₄	1	1	yes	characteristic
750	#95	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	—	2	1	no	—
756	C₂⁴	—	2	1	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	—	4	2	no	—
759	C₂⁴	—	8	1	no	—
760	C₂⁴	—	8	1	no	—
761	C₂⁴	—	8	1	no	—
762	C₂⁴	—	8	1	no	—
763	C₂⁴	—	8	1	no	—
764	C₂⁴	C₂²×D₄	1	1	yes	characteristic
765	C₂×Q₈	—	2	1	no	—
766	C₂×Q₈	—	2	1	no	—
767	C₂×Q₈	—	2	1	no	—
768	C₂×Q₈	—	2	1	no	—
769	C₂×Q₈	—	2	1	no	—
770	C₂×Q₈	—	2	1	no	—
771	C₂×Q₈	—	2	1	no	—
772	C₂×Q₈	—	2	1	no	—
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	—	4	2	no	—
778	C₂×Q₈	—	4	2	no	—
779	C₂×Q₈	—	4	2	no	—
780	C₂×Q₈	—	8	1	no	—
781	C₂×Q₈	—	8	1	no	—
782	C₂×Q₈	—	8	1	no	—
783	C₂×Q₈	—	8	1	no	—
784	C₂×Q₈	—	8	1	no	—
785	C₂×Q₈	—	8	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	—	2	1	no	—
792	C₂×D₄	—	2	1	no	—
793	C₂×D₄	—	2	1	no	—
794	C₂×D₄	—	2	1	no	—
795	C₂×D₄	—	2	1	no	—
796	C₂×D₄	—	2	1	no	—
797	C₂×D₄	—	4	2	no	—
798	C₂×D₄	—	4	4	no	—
799	C₂×D₄	—	8	1	no	—
800	C₂×D₄	—	8	1	no	—
801	C₂×D₄	—	8	2	no	—
802	C₂×D₄	—	8	2	no	—
803	C₂×D₄	—	8	2	no	—
804	C₂×D₄	C₂×#41	1	2	yes	—
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	—	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	—	8	1	no	—
828	C₂²×C₄	—	8	1	no	—
829	C₂²×C₄	—	8	1	no	—
830	C₂²×C₄	—	8	1	no	—
831	C₂²×C₄	—	8	1	no	—
832	C₂²×C₄	—	8	1	no	—
833	C₂²×C₄	—	8	1	no	—
834	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
835	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
848	C₂×C₈	—	2	1	no	—
849	C₂×C₈	—	2	1	no	—
850	C₂×C₈	—	2	1	no	—
851	C₂×C₈	—	2	1	no	—
852	C₂×C₈	—	2	1	no	—
853	C₂×C₈	—	2	1	no	—
854	C₂×C₈	—	2	1	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	—	8	2	no	—
872	C₂×C₈	C₂×#41	1	2	yes	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	1	no	—
876	C₄⋊C₄	—	2	1	no	—
877	C₄⋊C₄	—	2	1	no	—
878	C₄⋊C₄	—	2	1	no	—
879	C₄⋊C₄	—	2	1	no	—
880	C₄⋊C₄	—	2	1	no	—
881	C₄⋊C₄	—	2	1	no	—
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	—	4	1	no	—
899	C₄⋊C₄	—	4	1	no	—
900	C₄⋊C₄	—	4	1	no	—
901	C₄⋊C₄	—	4	1	no	—
902	C₄⋊C₄	—	4	2	no	—
903	C₄⋊C₄	—	4	2	no	—
904	C₄⋊C₄	—	4	2	no	—
905	C₄⋊C₄	—	4	2	no	—
906	C₄⋊C₄	—	4	2	no	—
907	C₄⋊C₄	—	4	2	no	—
908	C₄⋊C₄	—	4	2	no	—
909	C₄⋊C₄	—	4	2	no	—
910	C₄⋊C₄	—	4	2	no	—
911	C₄⋊C₄	—	8	1	no	—
912	C₄⋊C₄	—	8	1	no	—
913	C₄⋊C₄	—	8	1	no	—
914	C₄⋊C₄	—	8	1	no	—
915	C₄⋊C₄	—	8	1	no	—
916	C₄⋊C₄	—	8	1	no	—
917	C₄⋊C₄	—	8	1	no	—
918	C₄⋊C₄	—	8	1	no	—
919	C₄⋊C₄	—	8	1	no	—
920	C₄⋊C₄	—	8	1	no	—
921	C₄⋊C₄	—	8	1	no	—
922	C₄⋊C₄	—	8	1	no	—
923	C₄⋊C₄	—	8	1	no	—
924	C₄⋊C₄	—	8	1	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	C₂×#41	1	2	yes	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	4	1	no	—
940	C₂²⋊C₄	—	4	1	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	4	2	no	—
944	C₂²⋊C₄	—	4	2	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	2	no	—
947	C₂²⋊C₄	—	8	1	no	—
948	C₂²⋊C₄	—	8	1	no	—
949	C₂²⋊C₄	—	8	1	no	—
950	C₂²⋊C₄	—	8	1	no	—
951	C₂²⋊C₄	—	8	1	no	—
952	C₂²⋊C₄	—	8	1	no	—
953	C₂²⋊C₄	—	8	1	no	—
954	C₂²⋊C₄	—	8	1	no	—
955	C₂²⋊C₄	—	8	1	no	—
956	C₂²⋊C₄	—	8	1	no	—
957	C₂²⋊C₄	—	8	1	no	—
958	C₂²⋊C₄	—	8	1	no	—
959	C₂²⋊C₄	—	8	1	no	—
960	C₂²⋊C₄	—	8	1	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	C₄²	—	2	1	no	—
970	C₄²	—	2	1	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	2	no	—
982	C₄²	—	8	1	no	—
983	C₄²	—	8	1	no	—
984	C₄²	—	8	1	no	—
985	C₄²	—	8	1	no	—
986	C₄²	—	8	1	no	—
987	C₄²	—	8	1	no	—
988	C₄²	—	8	1	no	—
989	C₂³	—	2	1	no	—
990	C₂³	—	2	1	no	—
991	C₂³	—	2	1	no	—
992	C₂³	—	2	1	no	—
993	C₂³	—	2	1	no	—
994	C₂³	—	2	1	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	4	1	no	—
997	C₂³	—	4	1	no	—
998	C₂³	—	4	1	no	—
999	C₂³	—	4	1	no	—
1000	C₂³	—	4	1	no	—
1001	C₂³	—	4	1	no	—
1002	C₂³	—	4	1	no	—
1003	C₂³	—	4	1	no	—
1004	C₂³	—	4	1	no	—
1005	C₂³	—	4	1	no	—
1006	C₂³	—	4	1	no	—
1007	C₂³	—	4	1	no	—
1008	C₂³	—	4	1	no	—
1009	C₂³	—	8	4	no	—
1010	C₂³	—	8	4	no	—
1011	C₂³	—	16	2	no	—
1012	C₂³	—	16	2	no	—
1013	C₂³	—	16	2	no	—
1014	C₂³	—	16	2	no	—
1015	C₂³	—	16	2	no	—
1016	C₂³	#578	1	2	yes	—
1017	C₂³	C₂³×D₄	1	1	yes	characteristic
1018	Q₈	—	4	1	no	—
1019	Q₈	—	4	1	no	—
1020	Q₈	—	4	1	no	—
1021	Q₈	—	4	1	no	—
1022	Q₈	—	4	1	no	—
1023	Q₈	—	4	1	no	—
1024	Q₈	—	4	1	no	—
1025	Q₈	—	4	1	no	—
1026	Q₈	—	8	4	no	—
1027	Q₈	—	16	2	no	—
1028	Q₈	—	16	2	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	2	no	—
1031	D₄	—	4	1	no	—
1032	D₄	—	4	1	no	—
1033	D₄	—	4	1	no	—
1034	D₄	—	4	1	no	—
1035	D₄	—	4	1	no	—
1036	D₄	—	4	1	no	—
1037	D₄	—	8	4	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	2	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	1	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	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	—	16	2	no	—
1123	C₂×C₄	—	16	2	no	—
1124	C₂×C₄	—	16	2	no	—
1125	C₂×C₄	#577	1	2	yes	—
1126	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1127	C₂×C₄	#585	1	1	yes	characteristic
1128	C₂×C₄	#585	1	1	yes	characteristic
1129	C₂×C₄	#585	1	1	yes	characteristic
1130	C₂×C₄	#585	1	1	yes	characteristic
1131	C₂×C₄	#585	1	1	yes	characteristic
1132	C₈	—	2	2	no	—
1133	C₈	—	4	1	no	—
1134	C₈	—	4	1	no	—
1135	C₈	—	4	1	no	—
1136	C₈	—	4	1	no	—
1137	C₈	—	4	1	no	—
1138	C₈	—	4	1	no	—
1139	C₈	—	4	1	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	2	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	8	1	no	—
1151	C₂²	—	8	1	no	—
1152	C₂²	—	8	1	no	—
1153	C₂²	—	8	1	no	—
1154	C₂²	—	8	1	no	—
1155	C₂²	—	8	1	no	—
1156	C₂²	—	8	1	no	—
1157	C₂²	—	8	1	no	—
1158	C₂²	—	8	1	no	—
1159	C₂²	—	8	1	no	—
1160	C₂²	—	8	1	no	—
1161	C₂²	—	16	8	no	—
1162	C₂²	D₄×#41	1	1	yes	characteristic
1163	C₂²	#3500	1	1	yes	characteristic
1164	C₂²	#3500	1	1	yes	characteristic
1165	C₂²	C₂×#577	1	1	yes	characteristic
1166	C₂²	C₂×#578	1	1	yes	characteristic
1167	C₂²	#3585	1	1	yes	characteristic
1168	C₂²	#3585	1	1	yes	characteristic
1169	C₄	—	2	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	2	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	1	no	—
1177	C₄	—	4	1	no	—
1178	C₄	—	4	1	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	8	1	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	—	8	1	no	—
1194	C₄	—	8	1	no	—
1195	C₄	—	8	1	no	—
1196	C₄	#3455	1	1	yes	characteristic
1197	C₄	#3521	1	1	yes	characteristic
1198	C₄	#3566	1	1	yes	characteristic
1199	C₄	#3566	1	1	yes	characteristic
1200	C₂	—	4	2	no	—
1201	C₂	—	8	2	no	—
1202	C₂	—	16	1	no	—
1203	C₂	#39395	1	1	yes	characteristic
1204	C₂	#61497	1	1	yes	characteristic
1205	C₂	#61506	1	1	yes	characteristic
1206	C₂	#62602	1	1	yes	characteristic
1207	C₂	#62604	1	1	yes	characteristic
1208	C₂	#62604	1	1	yes	characteristic
1209	C₂	#62617	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 ◁ #2401 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #42610	C₂	semidirect
3. #33283	C₂	semidirect
4. #32230	C₂	semidirect
5. #32092	C₂	semidirect
6. #32087	C₂	semidirect
7. #31744	C₂	semidirect
8. #31458	C₂	semidirect
9. #31356	C₂	semidirect
12. #30088	C₂	semidirect
13. #30068	C₂	semidirect
14. #29041	C₂	semidirect
15. #29025	C₂	semidirect
16. #28959	C₂	semidirect
17. #28855	C₂	semidirect
18. #28084	C₂	semidirect
19. #28058	C₂	semidirect
20. #27776	C₂	semidirect
21. #27765	C₂	semidirect
23. #27409	C₂	semidirect
26. #26776	C₂	semidirect
27. #26706	C₂	semidirect
28. #23226	C₂	semidirect
30. #21669	C₂	semidirect
31. #21654	C₂	semidirect
47. #2647	C₂²	semidirect
51. #2552	C₂²	semidirect
52. #2551	C₂²	semidirect
56. #2509	C₂²	semidirect
57. #2509	C₂²	semidirect
58. #2506	C₂²	semidirect
75. #2365	C₂²	semidirect
78. #2331	C₂²	semidirect
80. #2100	C₂²	semidirect
81. #2100	C₂²	semidirect
82. #2097	C₂²	semidirect
83. #2097	C₂²	semidirect
86. #2088	C₂²	semidirect
87. #2087	C₂²	semidirect
88. #2084	C₂²	semidirect
89. #2083	C₂²	semidirect
92. #2072	C₂²	semidirect
96. #2068	C₂²	semidirect
100. #2058	C₂²	semidirect
101. #2057	C₂²	semidirect
102. #2043	C₂²	semidirect
103. #2043	C₂²	semidirect
116. #2024	C₂²	semidirect
117. #2024	C₂²	semidirect
120. #1993	C₂²	semidirect
121. #1990	C₂²	semidirect
122. #1990	C₂²	semidirect
123. #1987	C₂²	semidirect
126. #1981	C₂²	semidirect
131. #1956	C₂²	semidirect
132. #1943	C₂²	semidirect
133. #1942	C₂²	semidirect
139. #1935	C₂²	semidirect
140. #1935	C₂²	semidirect
141. #1935	C₂²	semidirect
142. #1935	C₂²	semidirect
147. #1933	C₂²	semidirect
148. #1933	C₂²	semidirect
149. #1933	C₂²	semidirect
150. #1928	C₂²	semidirect
151. #1927	C₂²	semidirect
152. #1927	C₂²	semidirect
161. #1921	C₂²	semidirect
162. #1920	C₂²	semidirect
163. #1919	C₂²	semidirect
164. #1919	C₂²	semidirect
165. #1917	C₂²	semidirect
166. #1916	C₂²	semidirect
167. #1916	C₂²	semidirect
172. #1865	C₂²	semidirect
173. #1865	C₂²	semidirect
176. #1863	C₂²	semidirect
177. #1863	C₂²	semidirect
180. #1840	C₂²	semidirect
181. #1836	C₂²	semidirect
184. #1803	C₂²	semidirect
189. #1776	C₂²	semidirect
190. #1771	C₂²	semidirect
191. #1771	C₂²	semidirect
192. #1770	C₂²	semidirect
193. #1763	C₂²	semidirect
194. #1763	C₂²	semidirect
196. C₄×#103	C₂²	semidirect
202. #1726	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#42634	2
#42610	2
#33283	2
#32230	2
#32092	2
#32087	2
#31744	2
#31458	2
#31356	2
#31298	2
#31294	2
#30088	2
#30068	2
#29041	2
#29025	2
#28959	2
#28855	2
#28084	2
#28058	2
#27776	2
#27765	2
#27541	2
#27409	2
#27262	2
#26776	2
#26706	2
#23226	2
#22574	2
#21669	2
#21654	2