Subgroups — #6559068

Order 512.

1942 conjugacy classes of subgroups.

The subgroup lattice has 1155 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3389	C₂	1	1	yes	maximal, characteristic
2	C₂×#3388	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#3374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#3372	C₂	1	1	yes	maximal, characteristic, complemented
5	#39613	C₂	1	1	yes	maximal, characteristic, complemented
6	#39173	C₂	1	1	yes	maximal, characteristic, complemented
7	#30288	C₂	1	1	yes	maximal, characteristic, complemented
8	#30288	C₂	1	1	yes	maximal, characteristic, complemented
9	#30284	C₂	1	1	yes	maximal, characteristic, complemented
10	#28550	C₂	1	1	yes	maximal, characteristic, complemented
11	#28549	C₂	1	1	yes	maximal, characteristic, complemented
12	#28546	C₂	1	1	yes	maximal, characteristic, complemented
13	#28543	C₂	1	1	yes	maximal, characteristic, complemented
14	#28535	C₂	1	1	yes	maximal, characteristic, complemented
15	#28533	C₂	1	1	yes	maximal, characteristic, complemented
16	#28524	C₂	1	1	yes	maximal, characteristic, complemented
17	#28523	C₂	1	1	yes	maximal, characteristic, complemented
18	#28513	C₂	1	1	yes	maximal, characteristic, complemented
19	#28429	C₂	1	1	yes	maximal, characteristic
20	#28429	C₂	1	1	yes	maximal, characteristic
21	#28427	C₂	1	1	yes	maximal, characteristic, complemented
22	#28427	C₂	1	1	yes	maximal, characteristic, complemented
23	#28403	C₂	1	1	yes	maximal, characteristic, complemented
24	#28398	C₂	1	1	yes	maximal, characteristic
25	#28390	C₂	1	1	yes	maximal, characteristic, complemented
26	#28390	C₂	1	1	yes	maximal, characteristic, complemented
27	#28372	C₂	1	1	yes	maximal, characteristic, complemented
28	#23813	C₂	1	1	yes	maximal, characteristic
29	#23812	C₂	1	1	yes	maximal, characteristic
30	#23804	C₂	1	1	yes	maximal, characteristic
31	#20575	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#557	C₂²	1	1	yes	characteristic
33	C₂×#557	C₂²	1	1	yes	characteristic
34	C₂×#554	C₂²	1	1	yes	characteristic
35	C₂×#554	C₂²	1	1	yes	characteristic
36	#3389	—	2	8	no	—
37	#3388	—	2	8	no	—
38	#3374	—	2	8	no	—
39	#3372	—	2	8	no	—
40	C₂×#501	C₂²	1	1	yes	characteristic
41	C₂×#501	C₂²	1	1	yes	characteristic
42	C₂×#501	C₂²	1	1	yes	characteristic
43	C₂×#501	C₂²	1	1	yes	characteristic
44	C₂×#499	C₂²	1	1	yes	characteristic
45	C₂×#499	C₂²	1	1	yes	characteristic
46	C₂×#491	C₂²	1	1	yes	characteristic
47	C₂×#491	C₂²	1	1	yes	characteristic
48	C₂×#491	C₂²	1	1	yes	characteristic
49	C₂×#491	C₂²	1	1	yes	characteristic
50	C₂×#487	C₂²	1	1	yes	characteristic
51	C₂×#487	C₂²	1	1	yes	characteristic
52	C₂×#479	C₂²	1	1	yes	characteristic
53	C₂×#479	C₂²	1	1	yes	characteristic
54	C₂×#479	C₂²	1	1	yes	characteristic
55	C₂×#479	C₂²	1	1	yes	characteristic
56	C₂×#479	C₂²	1	1	yes	characteristic
57	C₂×#479	C₂²	1	1	yes	characteristic
58	C₂×#477	C₂²	1	1	yes	characteristic
59	C₂×#475	C₂²	1	1	yes	characteristic
60	C₂×#475	C₂²	1	1	yes	characteristic
61	C₂×#478	C₂²	1	1	yes	characteristic
62	C₂×#478	C₂²	1	1	yes	characteristic
63	C₂×#478	C₂²	1	1	yes	characteristic
64	C₂×#478	C₂²	1	1	yes	characteristic
65	C₂×#478	C₂²	1	1	yes	characteristic
66	C₂×#478	C₂²	1	1	yes	characteristic
67	C₂×#476	C₂²	1	1	yes	characteristic
68	C₂×#474	C₂²	1	1	yes	characteristic
69	C₂×#474	C₂²	1	1	yes	characteristic
70	C₂×#462	C₂²	1	1	yes	characteristic
71	C₂×#462	C₂²	1	1	yes	characteristic
72	C₂×#462	C₂²	1	1	yes	characteristic
73	C₂×#461	C₂²	1	1	yes	characteristic
74	C₂×#461	C₂²	1	1	yes	characteristic
75	C₂×#461	C₂²	1	1	yes	characteristic
76	C₂×#446	C₂²	1	1	yes	characteristic
77	C₂×#446	C₂²	1	1	yes	characteristic
78	C₂×#442	C₂²	1	1	yes	characteristic
79	C₂×#442	C₂²	1	1	yes	characteristic
80	C₂×#441	C₂²	1	1	yes	characteristic
81	C₂×#441	C₂²	1	1	yes	characteristic
82	C₂×#440	C₂²	1	1	yes	characteristic
83	C₂×#440	C₂²	1	1	yes	characteristic
84	C₂×#440	C₂²	1	1	yes	characteristic
85	C₂×#440	C₂²	1	1	yes	characteristic
86	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
87	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
88	C₂×C₄×SD₁₆	C₂²	1	1	yes	characteristic
89	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
90	#2862	C₂²	1	1	yes	characteristic
91	#2859	C₂²	1	1	yes	characteristic
92	#2729	—	2	2	no	—
93	#2704	—	2	2	no	—
94	#2690	—	2	2	no	—
95	#2690	—	2	2	no	—
96	#2660	C₂²	1	1	yes	characteristic
97	#2660	C₂²	1	1	yes	characteristic
98	#2642	C₂²	1	1	yes	characteristic
99	#2642	C₂²	1	1	yes	characteristic
100	#2568	C₂²	1	1	yes	characteristic
101	#2567	C₂²	1	1	yes	characteristic
102	#2566	C₂²	1	1	yes	characteristic
103	#2566	C₂²	1	1	yes	characteristic
104	#2565	C₂²	1	1	yes	characteristic
105	#2565	C₂²	1	1	yes	characteristic
106	#2565	C₂²	1	1	yes	characteristic
107	#2565	C₂²	1	1	yes	characteristic
108	#2563	C₂²	1	1	yes	characteristic
109	#2547	C₂²	1	1	yes	characteristic
110	#2547	C₂²	1	1	yes	characteristic
111	#2547	C₂²	1	1	yes	characteristic
112	#2473	—	2	2	no	—
113	#2465	—	2	2	no	—
114	#2442	—	2	2	no	—
115	#2421	—	2	2	no	—
116	#2326	C₂²	1	1	yes	characteristic
117	#2326	C₂²	1	1	yes	characteristic
118	#2326	C₂²	1	1	yes	characteristic
119	#2326	C₂²	1	1	yes	characteristic
120	C₄×#124	C₂²	1	1	yes	characteristic
121	C₄×#124	C₂²	1	1	yes	characteristic
122	#2295	C₂²	1	1	yes	characteristic
123	#2097	C₂²	1	1	yes	characteristic
124	#2097	C₂²	1	1	yes	characteristic
125	#2097	C₂²	1	1	yes	characteristic
126	#2097	C₂²	1	1	yes	characteristic
127	#2097	C₂²	1	1	yes	characteristic
128	#2097	C₂²	1	1	yes	characteristic
129	#2097	C₂²	1	1	yes	characteristic
130	#2097	C₂²	1	1	yes	characteristic
131	#2097	C₂²	1	1	yes	characteristic
132	#2097	C₂²	1	1	yes	characteristic
133	#2097	C₂²	1	1	yes	characteristic
134	#2097	C₂²	1	1	yes	characteristic
135	#2096	C₂²	1	1	yes	characteristic
136	#2096	C₂²	1	1	yes	characteristic
137	#2096	C₂²	1	1	yes	characteristic
138	#2096	C₂²	1	1	yes	characteristic
139	#2096	C₂²	1	1	yes	characteristic
140	#2096	C₂²	1	1	yes	characteristic
141	#2095	C₂²	1	1	yes	characteristic
142	#2095	C₂²	1	1	yes	characteristic
143	#2095	C₂²	1	1	yes	characteristic
144	#2095	C₂²	1	1	yes	characteristic
145	#2095	C₂²	1	1	yes	characteristic
146	#2095	C₂²	1	1	yes	characteristic
147	#2094	C₂²	1	1	yes	characteristic
148	#2094	C₂²	1	1	yes	characteristic
149	#2093	C₂²	1	1	yes	characteristic
150	#2093	C₂²	1	1	yes	characteristic
151	#2092	C₂²	1	1	yes	characteristic
152	#2092	C₂²	1	1	yes	characteristic
153	#2015	C₂²	1	1	yes	characteristic
154	#2015	C₂²	1	1	yes	characteristic
155	#2015	C₂²	1	1	yes	characteristic
156	#2015	C₂²	1	1	yes	characteristic
157	#2015	C₂²	1	1	yes	characteristic
158	#2015	C₂²	1	1	yes	characteristic
159	#2012	C₂²	1	1	yes	characteristic
160	#2012	C₂²	1	1	yes	characteristic
161	#2012	C₂²	1	1	yes	characteristic
162	#2012	C₂²	1	1	yes	characteristic
163	#1973	C₂²	1	1	yes	characteristic
164	#1973	C₂²	1	1	yes	characteristic
165	#1971	C₂²	1	1	yes	characteristic
166	#1971	C₂²	1	1	yes	characteristic
167	#1969	C₂²	1	1	yes	characteristic
168	#1969	C₂²	1	1	yes	characteristic
169	#1969	C₂²	1	1	yes	characteristic
170	#1969	C₂²	1	1	yes	characteristic
171	#1968	C₂²	1	1	yes	characteristic
172	#1968	C₂²	1	1	yes	characteristic
173	#1968	C₂²	1	1	yes	characteristic
174	#1968	C₂²	1	1	yes	characteristic
175	#1959	C₂²	1	1	yes	characteristic
176	#1959	C₂²	1	1	yes	characteristic
177	#1958	C₂²	1	1	yes	characteristic
178	#1958	C₂²	1	1	yes	characteristic
179	#1958	C₂²	1	1	yes	characteristic
180	#1958	C₂²	1	1	yes	characteristic
181	#1847	C₂²	1	1	yes	characteristic
182	#1847	C₂²	1	1	yes	characteristic
183	#1846	C₂²	1	1	yes	characteristic
184	#1846	C₂²	1	1	yes	characteristic
185	#1845	C₂²	1	1	yes	characteristic
186	#1844	C₂²	1	1	yes	characteristic
187	#1771	C₂²	1	1	yes	characteristic
188	#1771	C₂²	1	1	yes	characteristic
189	#1771	C₂²	1	1	yes	characteristic
190	#1771	C₂²	1	1	yes	characteristic
191	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
192	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
193	#1768	C₂²	1	1	yes	characteristic
194	#1768	C₂²	1	1	yes	characteristic
195	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
196	#1746	C₂²	1	1	yes	characteristic
197	#1746	C₂²	1	1	yes	characteristic
198	#1745	C₂²	1	1	yes	characteristic
199	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
200	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
201	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
202	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
203	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
204	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
205	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
206	C₂²×D₈	C₂³	1	1	yes	characteristic
207	#557	—	2	4	no	—
208	#557	—	2	4	no	—
209	#557	—	2	4	no	—
210	#557	—	2	4	no	—
211	#554	—	2	4	no	—
212	#554	—	2	4	no	—
213	#554	—	2	4	no	—
214	#554	—	2	4	no	—
215	C₂×C₄⋊Q₈	—	2	1	no	—
216	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₂×#125	—	2	1	no	—
223	C₂×#125	—	2	1	no	—
224	C₂×#125	—	2	1	no	—
225	C₂×#125	—	2	1	no	—
226	C₂×#125	—	2	1	no	—
227	C₂×#125	C₂³	1	1	yes	characteristic
228	C₂×#125	C₂³	1	1	yes	characteristic
229	C₂×#125	C₂³	1	1	yes	characteristic
230	C₂×#125	C₂³	1	1	yes	characteristic
231	C₂×#125	C₂³	1	1	yes	characteristic
232	C₂×#125	C₂³	1	1	yes	characteristic
233	C₂×#124	C₂³	1	1	yes	characteristic
234	C₂×#124	C₂³	1	1	yes	characteristic
235	C₂×#124	C₂³	1	1	yes	characteristic
236	C₂×#124	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Q₈	—	2	1	no	—
238	C₂×C₂²⋊Q₈	—	2	1	no	—
239	C₂×C₂²⋊Q₈	—	2	1	no	—
240	C₂×C₂²⋊Q₈	—	2	1	no	—
241	C₂×C₂²⋊Q₈	—	2	1	no	—
242	C₂×C₂²⋊Q₈	—	2	1	no	—
243	C₂×C₄×Q₈	—	2	1	no	—
244	C₂×C₄×Q₈	—	2	1	no	—
245	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
246	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
247	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
248	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
249	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
250	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
251	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₂²×C₄⋊C₄	—	2	1	no	—
259	C₂²×C₄⋊C₄	—	2	1	no	—
260	#501	—	2	4	no	—
261	#501	—	2	4	no	—
262	#501	—	2	4	no	—
263	#501	—	2	4	no	—
264	#499	—	2	4	no	—
265	#499	—	2	4	no	—
266	#491	—	2	4	no	—
267	#491	—	2	4	no	—
268	#491	—	2	4	no	—
269	#491	—	2	4	no	—
270	#487	—	2	4	no	—
271	#487	—	2	4	no	—
272	#479	—	2	4	no	—
273	#479	—	2	4	no	—
274	#479	—	2	4	no	—
275	#479	—	2	4	no	—
276	#479	—	2	4	no	—
277	#479	—	2	4	no	—
278	#478	—	2	4	no	—
279	#478	—	2	4	no	—
280	#478	—	2	4	no	—
281	#478	—	2	4	no	—
282	#478	—	2	4	no	—
283	#478	—	2	4	no	—
284	#477	—	2	4	no	—
285	#476	—	2	4	no	—
286	#475	—	2	4	no	—
287	#475	—	2	4	no	—
288	#474	—	2	4	no	—
289	#474	—	2	4	no	—
290	#462	—	2	4	no	—
291	#462	—	2	4	no	—
292	#462	—	2	4	no	—
293	#461	—	2	4	no	—
294	#461	—	2	4	no	—
295	#461	—	2	4	no	—
296	#446	D₄	1	8	yes	—
297	#446	D₄	1	8	yes	—
298	#442	—	2	4	no	—
299	#442	—	2	4	no	—
300	#441	—	2	4	no	—
301	#441	—	2	4	no	—
302	#440	—	2	4	no	—
303	#440	—	2	4	no	—
304	#440	—	2	4	no	—
305	#440	—	2	4	no	—
306	C₄×Q₁₆	—	2	4	no	—
307	C₄×SD₁₆	—	2	4	no	—
308	C₄×SD₁₆	—	2	4	no	—
309	C₄×D₈	—	2	4	no	—
310	C₂×#107	C₂³	1	1	yes	characteristic
311	C₂×#107	C₂³	1	1	yes	characteristic
312	C₂×#107	C₂³	1	1	yes	characteristic
313	C₂×#107	C₂³	1	1	yes	characteristic
314	C₂×#107	C₂³	1	1	yes	characteristic
315	C₂×#107	C₂³	1	1	yes	characteristic
316	C₂×#107	C₂³	1	1	yes	characteristic
317	C₂×#107	C₂³	1	1	yes	characteristic
318	C₂×#107	C₂³	1	1	yes	characteristic
319	C₂×#107	C₂³	1	1	yes	characteristic
320	C₂×#107	C₂³	1	1	yes	characteristic
321	C₂×#107	C₂³	1	1	yes	characteristic
322	C₂×#106	C₂³	1	1	yes	characteristic
323	C₂×#106	C₂³	1	1	yes	characteristic
324	C₂×#106	C₂³	1	1	yes	characteristic
325	C₂×#106	C₂³	1	1	yes	characteristic
326	C₂×#106	C₂³	1	1	yes	characteristic
327	C₂×#106	C₂³	1	1	yes	characteristic
328	C₂×#106	C₂³	1	1	yes	characteristic
329	C₂×#106	C₂³	1	1	yes	characteristic
330	C₂×#106	C₂³	1	1	yes	characteristic
331	C₂×#106	C₂³	1	1	yes	characteristic
332	C₂×#106	C₂³	1	1	yes	characteristic
333	C₂×#106	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
340	C₂×#103	C₂³	1	1	yes	characteristic
341	C₂×#103	C₂³	1	1	yes	characteristic
342	C₂×#103	C₂³	1	1	yes	characteristic
343	C₂×#103	C₂³	1	1	yes	characteristic
344	C₂×#103	C₂³	1	1	yes	characteristic
345	C₂×#103	C₂³	1	1	yes	characteristic
346	C₂×#103	C₂³	1	1	yes	characteristic
347	C₂×#103	C₂³	1	1	yes	characteristic
348	C₂×#103	C₂³	1	1	yes	characteristic
349	C₂×#103	C₂³	1	1	yes	characteristic
350	C₂×#103	C₂³	1	1	yes	characteristic
351	C₂×#103	C₂³	1	1	yes	characteristic
352	C₂×#103	C₂³	1	1	yes	characteristic
353	C₂×#103	C₂³	1	1	yes	characteristic
354	C₂×#103	C₂³	1	1	yes	characteristic
355	C₂×#103	C₂³	1	1	yes	characteristic
356	C₂×#103	C₂³	1	1	yes	characteristic
357	C₂×#103	C₂³	1	1	yes	characteristic
358	C₂×#103	C₂³	1	1	yes	characteristic
359	C₂×#103	C₂³	1	1	yes	characteristic
360	C₂×#103	C₂³	1	1	yes	characteristic
361	C₂×#103	C₂³	1	1	yes	characteristic
362	C₂×#102	C₂³	1	1	yes	characteristic
363	C₂×#102	C₂³	1	1	yes	characteristic
364	C₂×#102	C₂³	1	1	yes	characteristic
365	C₂×#102	C₂³	1	1	yes	characteristic
366	C₂×#102	C₂³	1	1	yes	characteristic
367	C₂×#102	C₂³	1	1	yes	characteristic
368	C₂×#102	C₂³	1	1	yes	characteristic
369	C₂×#102	C₂³	1	1	yes	characteristic
370	C₂×#102	C₂³	1	1	yes	characteristic
371	C₂×#102	C₂³	1	1	yes	characteristic
372	C₂×#97	C₂³	1	1	yes	characteristic
373	C₂×#97	C₂³	1	1	yes	characteristic
374	C₂×#97	C₂³	1	1	yes	characteristic
375	C₂×#97	C₂³	1	1	yes	characteristic
376	C₂×#97	C₂³	1	1	yes	characteristic
377	C₂×#97	C₂³	1	1	yes	characteristic
378	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
379	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
380	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
381	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
382	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
383	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
384	#400	—	2	2	no	—
385	#400	—	2	2	no	—
386	#400	—	2	2	no	—
387	#400	—	2	2	no	—
388	#400	—	2	2	no	—
389	#398	—	2	2	no	—
390	#398	—	2	2	no	—
391	#398	—	2	2	no	—
392	#398	—	2	2	no	—
393	#398	—	2	2	no	—
394	#398	—	2	2	no	—
395	#397	—	2	2	no	—
396	#397	—	2	2	no	—
397	#397	—	2	2	no	—
398	#396	—	2	2	no	—
399	#396	—	2	2	no	—
400	#395	—	2	2	no	—
401	#395	—	2	2	no	—
402	#395	—	2	2	no	—
403	#393	—	2	2	no	—
404	#391	—	2	2	no	—
405	#391	—	2	2	no	—
406	#391	D₄	1	2	yes	—
407	#391	C₂³	1	1	yes	characteristic
408	#391	C₂³	1	1	yes	characteristic
409	#391	C₂³	1	1	yes	characteristic
410	#391	C₂³	1	1	yes	characteristic
411	#391	C₂³	1	1	yes	characteristic
412	#391	C₂³	1	1	yes	characteristic
413	#391	C₂³	1	1	yes	characteristic
414	#391	C₂³	1	1	yes	characteristic
415	#391	C₂³	1	1	yes	characteristic
416	#391	C₂³	1	1	yes	characteristic
417	#391	C₂³	1	1	yes	characteristic
418	#391	C₂³	1	1	yes	characteristic
419	#390	C₂³	1	1	yes	characteristic
420	#390	C₂³	1	1	yes	characteristic
421	#390	C₂³	1	1	yes	characteristic
422	#390	C₂³	1	1	yes	characteristic
423	#389	—	2	2	no	—
424	#389	—	2	2	no	—
425	#389	—	2	2	no	—
426	#389	D₄	1	2	yes	—
427	#388	—	2	2	no	—
428	#388	—	2	2	no	—
429	#388	—	2	2	no	—
430	#388	—	2	2	no	—
431	#388	—	2	2	no	—
432	#388	—	2	2	no	—
433	#387	—	2	2	no	—
434	#387	—	2	2	no	—
435	#387	—	2	2	no	—
436	#387	—	2	2	no	—
437	#387	D₄	1	2	yes	—
438	#387	D₄	1	2	yes	—
439	#385	—	2	2	no	—
440	#385	—	2	2	no	—
441	#385	—	2	2	no	—
442	#385	—	2	2	no	—
443	#385	—	2	2	no	—
444	#385	—	2	2	no	—
445	#384	C₂³	1	1	yes	characteristic
446	#384	C₂³	1	1	yes	characteristic
447	#384	C₂³	1	1	yes	characteristic
448	#384	C₂³	1	1	yes	characteristic
449	#384	C₂³	1	1	yes	characteristic
450	#384	C₂³	1	1	yes	characteristic
451	#382	—	2	2	no	—
452	#382	C₂³	1	1	yes	characteristic
453	#382	C₂³	1	1	yes	characteristic
454	#382	C₂³	1	1	yes	characteristic
455	#382	C₂³	1	1	yes	characteristic
456	#382	C₂³	1	1	yes	characteristic
457	#382	C₂³	1	1	yes	characteristic
458	#380	—	2	2	no	—
459	#380	—	2	2	no	—
460	#380	—	2	2	no	—
461	#380	—	2	2	no	—
462	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	—	2	2	no	—
466	C₄×C₂²⋊C₄	—	2	2	no	—
467	#376	C₂³	1	1	yes	characteristic
468	#376	C₂³	1	1	yes	characteristic
469	C₄³	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	C₂²×Q₈	—	2	1	no	—
481	C₂²×Q₈	—	2	1	no	—
482	C₂²×Q₈	—	2	1	no	—
483	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
484	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
485	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
486	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
487	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
488	C₂²×D₄	C₂⁴	1	1	yes	characteristic
489	C₂²×D₄	C₂⁴	1	1	yes	characteristic
490	C₂³×C₄	—	2	1	no	—
491	C₂³×C₄	—	2	1	no	—
492	C₂³×C₄	—	2	1	no	—
493	C₂³×C₄	—	2	1	no	—
494	C₂³×C₄	—	2	1	no	—
495	C₂³×C₄	—	2	1	no	—
496	C₂×Q₁₆	—	2	2	no	—
497	C₂×Q₁₆	—	2	2	no	—
498	C₂×Q₁₆	—	2	2	no	—
499	C₂×Q₁₆	—	2	2	no	—
500	C₂×Q₁₆	—	2	2	no	—
501	C₂×Q₁₆	—	2	2	no	—
502	C₂×Q₁₆	—	4	1	no	—
503	C₂×Q₁₆	—	4	1	no	—
504	C₂×Q₁₆	—	4	1	no	—
505	C₂×SD₁₆	—	2	2	no	—
506	C₂×SD₁₆	—	2	2	no	—
507	C₂×SD₁₆	—	2	2	no	—
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	—	2	2	no	—
513	C₂×SD₁₆	—	2	2	no	—
514	C₂×SD₁₆	—	4	1	no	—
515	C₂×SD₁₆	—	4	1	no	—
516	C₂×SD₁₆	—	4	1	no	—
517	C₂×D₈	—	2	2	no	—
518	C₂×D₈	—	2	2	no	—
519	C₂×D₈	—	2	2	no	—
520	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₂²×C₈	C₂⁴	1	1	yes	characteristic
522	C₂²×C₈	C₂⁴	1	1	yes	characteristic
523	C₂²×C₈	C₂⁴	1	1	yes	characteristic
524	C₂²×C₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	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	—	2	2	no	—
533	C₄⋊Q₈	—	2	2	no	—
534	C₄⋊Q₈	—	2	2	no	—
535	C₄⋊Q₈	—	2	2	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	4	no	—
541	#125	—	2	2	no	—
542	#125	—	2	2	no	—
543	#125	—	2	2	no	—
544	#125	—	2	2	no	—
545	#125	—	2	2	no	—
546	#125	—	2	2	no	—
547	#125	—	2	2	no	—
548	#125	—	2	2	no	—
549	#125	—	2	2	no	—
550	#125	—	2	2	no	—
551	#125	—	2	2	no	—
552	#125	—	2	2	no	—
553	#125	—	4	4	no	—
554	#125	—	4	4	no	—
555	#125	—	4	4	no	—
556	#125	—	4	4	no	—
557	#125	—	4	4	no	—
558	#124	—	2	2	no	—
559	#124	—	2	2	no	—
560	#124	—	2	2	no	—
561	#124	—	2	2	no	—
562	#124	—	2	2	no	—
563	#124	—	4	1	no	—
564	#124	—	4	1	no	—
565	#124	—	4	1	no	—
566	C₂²⋊Q₈	—	4	4	no	—
567	C₂²⋊Q₈	—	4	4	no	—
568	C₂²⋊Q₈	—	4	4	no	—
569	C₂²⋊Q₈	—	4	4	no	—
570	C₂²⋊Q₈	—	4	4	no	—
571	C₂²⋊Q₈	—	4	4	no	—
572	C₄×Q₈	—	2	2	no	—
573	C₄×Q₈	—	2	2	no	—
574	C₄×Q₈	—	2	2	no	—
575	C₄×Q₈	—	2	2	no	—
576	C₄×Q₈	—	2	2	no	—
577	C₄×Q₈	—	2	2	no	—
578	C₄×Q₈	—	2	2	no	—
579	C₄×Q₈	—	2	2	no	—
580	C₄×Q₈	—	2	2	no	—
581	C₄×Q₈	—	2	2	no	—
582	C₄×Q₈	—	2	2	no	—
583	C₄×Q₈	—	2	2	no	—
584	C₄×Q₈	—	4	4	no	—
585	C₄×Q₈	—	4	4	no	—
586	C₄×Q₈	C₂×D₄	1	4	yes	—
587	C₄×Q₈	C₂×D₄	1	4	yes	—
588	C₄×D₄	—	2	2	no	—
589	C₄×D₄	—	2	2	no	—
590	C₄×D₄	—	2	2	no	—
591	C₄×D₄	—	2	2	no	—
592	C₄×D₄	—	2	2	no	—
593	C₄×D₄	—	2	2	no	—
594	C₄×D₄	—	2	2	no	—
595	C₄×D₄	—	2	2	no	—
596	C₄×D₄	—	2	2	no	—
597	C₄×D₄	—	2	2	no	—
598	C₄×D₄	—	2	2	no	—
599	C₄×D₄	—	2	2	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	1	no	—
604	C₂×C₄⋊C₄	—	2	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	2	1	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	2	no	—
628	C₂×C₄⋊C₄	—	2	2	no	—
629	C₂×C₄⋊C₄	—	2	2	no	—
630	C₂×C₄⋊C₄	—	2	2	no	—
631	C₂×C₄⋊C₄	—	2	2	no	—
632	C₂×C₄⋊C₄	—	2	2	no	—
633	C₂×C₄⋊C₄	—	4	4	no	—
634	C₂×C₄⋊C₄	—	4	4	no	—
635	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
636	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
637	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
638	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	—	2	2	no	—
652	C₂×C₂²⋊C₄	—	2	1	no	—
653	C₂×C₂²⋊C₄	—	2	1	no	—
654	C₂×C₂²⋊C₄	—	2	1	no	—
655	C₂×C₂²⋊C₄	—	2	1	no	—
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	2	no	—
659	C₂×C₂²⋊C₄	—	2	2	no	—
660	C₂×C₂²⋊C₄	—	2	2	no	—
661	C₂×C₂²⋊C₄	—	2	2	no	—
662	C₂×C₂²⋊C₄	—	2	2	no	—
663	C₂×C₂²⋊C₄	—	2	2	no	—
664	C₂×C₂²⋊C₄	—	2	2	no	—
665	C₂×C₄²	—	2	1	no	—
666	C₂×C₄²	—	2	1	no	—
667	C₂×C₄²	—	2	1	no	—
668	C₂×C₄²	—	2	1	no	—
669	C₂×C₄²	—	2	1	no	—
670	C₂×C₄²	—	2	1	no	—
671	C₂×C₄²	C₂×D₄	1	2	yes	—
672	C₂×C₄²	C₂×D₄	1	2	yes	—
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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	#107	—	2	2	no	—
681	#107	—	2	2	no	—
682	#107	—	2	2	no	—
683	#107	—	2	2	no	—
684	#107	—	2	2	no	—
685	#107	—	2	2	no	—
686	#107	—	2	2	no	—
687	#107	—	2	2	no	—
688	#107	—	2	2	no	—
689	#107	—	2	2	no	—
690	#107	—	2	2	no	—
691	#107	—	2	2	no	—
692	#106	—	2	2	no	—
693	#106	—	2	2	no	—
694	#106	—	2	2	no	—
695	#106	—	2	2	no	—
696	#106	—	2	2	no	—
697	#106	—	2	2	no	—
698	#106	—	2	2	no	—
699	#106	—	2	2	no	—
700	#106	—	2	2	no	—
701	#106	—	2	2	no	—
702	#106	—	2	2	no	—
703	#106	—	2	2	no	—
704	C₄⋊C₈	C₂×D₄	1	4	yes	—
705	C₄⋊C₈	C₂×D₄	1	4	yes	—
706	C₄⋊C₈	C₂×D₄	1	4	yes	—
707	C₄⋊C₈	C₂×D₄	1	4	yes	—
708	C₄⋊C₈	C₂×D₄	1	4	yes	—
709	C₄⋊C₈	C₂×D₄	1	4	yes	—
710	#103	—	2	2	no	—
711	#103	—	2	2	no	—
712	#103	—	2	2	no	—
713	#103	—	2	2	no	—
714	#103	—	2	2	no	—
715	#103	—	2	2	no	—
716	#103	—	2	2	no	—
717	#103	—	2	2	no	—
718	#103	—	2	2	no	—
719	#103	—	2	2	no	—
720	#103	—	2	2	no	—
721	#103	—	2	2	no	—
722	#103	—	2	2	no	—
723	#103	—	2	2	no	—
724	#103	—	2	2	no	—
725	#103	—	2	2	no	—
726	#103	—	2	2	no	—
727	#103	—	2	2	no	—
728	#103	—	2	2	no	—
729	#103	—	2	2	no	—
730	#103	—	2	2	no	—
731	#103	—	2	2	no	—
732	#102	—	2	2	no	—
733	#102	—	2	2	no	—
734	#102	—	2	2	no	—
735	#102	—	2	2	no	—
736	#102	—	2	2	no	—
737	#102	—	2	2	no	—
738	#102	—	2	2	no	—
739	#102	—	2	2	no	—
740	#102	—	2	2	no	—
741	#102	—	2	2	no	—
742	#97	—	4	1	no	—
743	#97	—	4	1	no	—
744	#97	C₂×D₄	1	4	yes	—
745	#97	C₂×D₄	1	4	yes	—
746	#97	C₂×D₄	1	4	yes	—
747	#97	C₂×D₄	1	4	yes	—
748	C₄×C₈	—	4	1	no	—
749	C₄×C₈	—	4	1	no	—
750	C₄×C₈	—	4	1	no	—
751	C₄×C₈	—	4	1	no	—
752	C₄×C₈	C₂×D₄	1	4	yes	—
753	C₄×C₈	C₂×D₄	1	4	yes	—
754	#95	—	2	2	no	—
755	#95	—	2	2	no	—
756	#95	—	2	2	no	—
757	#95	—	2	2	no	—
758	#95	—	2	2	no	—
759	#95	—	2	2	no	—
760	#95	—	2	2	no	—
761	#95	—	2	2	no	—
762	#95	—	2	2	no	—
763	#95	—	2	2	no	—
764	#95	—	2	2	no	—
765	#95	—	2	2	no	—
766	#95	—	2	2	no	—
767	#95	—	2	2	no	—
768	#95	—	2	2	no	—
769	#95	—	2	2	no	—
770	#95	—	2	2	no	—
771	#95	—	2	2	no	—
772	#95	C₂×D₄	1	2	yes	—
773	#95	C₂×D₄	1	2	yes	—
774	#95	C₂×D₄	1	2	yes	—
775	#95	C₂×D₄	1	2	yes	—
776	#95	C₂×D₄	1	2	yes	—
777	#95	C₂×D₄	1	2	yes	—
778	#95	C₂×D₄	1	2	yes	—
779	C₂⁴	—	2	1	no	—
780	C₂⁴	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×Q₈	—	2	1	no	—
783	C₂×Q₈	—	2	1	no	—
784	C₂×Q₈	—	2	1	no	—
785	C₂×Q₈	—	2	1	no	—
786	C₂×Q₈	—	2	1	no	—
787	C₂×Q₈	—	2	1	no	—
788	C₂×Q₈	—	2	1	no	—
789	C₂×Q₈	—	2	1	no	—
790	C₂×Q₈	—	2	1	no	—
791	C₂×Q₈	—	2	1	no	—
792	C₂×Q₈	—	2	1	no	—
793	C₂×Q₈	—	2	1	no	—
794	C₂×Q₈	—	2	1	no	—
795	C₂×Q₈	—	2	1	no	—
796	C₂×Q₈	—	2	1	no	—
797	C₂×Q₈	—	2	1	no	—
798	C₂×Q₈	—	2	1	no	—
799	C₂×Q₈	—	2	1	no	—
800	C₂×Q₈	—	2	1	no	—
801	C₂×Q₈	—	2	1	no	—
802	C₂×Q₈	—	2	1	no	—
803	C₂×Q₈	—	2	1	no	—
804	C₂×Q₈	—	4	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×Q₈	—	4	2	no	—
807	C₂×Q₈	—	4	2	no	—
808	C₂×Q₈	—	8	2	no	—
809	C₂×Q₈	—	8	2	no	—
810	C₂×Q₈	—	8	2	no	—
811	C₂×Q₈	#127	1	4	yes	—
812	C₂×Q₈	2₋¹⁺⁴	1	2	yes	—
813	C₂×D₄	—	2	1	no	—
814	C₂×D₄	—	2	1	no	—
815	C₂×D₄	—	2	1	no	—
816	C₂×D₄	—	2	1	no	—
817	C₂×D₄	—	2	1	no	—
818	C₂×D₄	—	2	1	no	—
819	C₂×D₄	—	2	1	no	—
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	2	1	no	—
823	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
824	C₂×D₄	2₋¹⁺⁴	1	2	yes	—
825	C₂²×C₄	—	2	1	no	—
826	C₂²×C₄	—	2	1	no	—
827	C₂²×C₄	—	2	1	no	—
828	C₂²×C₄	—	2	1	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	4	4	no	—
840	C₂²×C₄	—	4	2	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	—	4	2	no	—
843	C₂²×C₄	—	4	2	no	—
844	C₂²×C₄	—	4	2	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	8	2	no	—
847	C₂²×C₄	—	8	2	no	—
848	C₂²×C₄	—	8	2	no	—
849	C₂²×C₄	—	8	2	no	—
850	C₂²×C₄	—	8	2	no	—
851	C₂²×C₄	C₂²×D₄	1	2	yes	—
852	C₂²×C₄	C₂²×D₄	1	2	yes	—
853	C₂²×C₄	C₂²×D₄	1	2	yes	—
854	C₂²×C₄	C₂²×D₄	1	2	yes	—
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	C₂²×D₄	1	1	yes	characteristic
859	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
860	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
861	C₂²×C₄	C₂⁵	1	1	yes	characteristic
862	Q₁₆	—	4	4	no	—
863	Q₁₆	—	4	4	no	—
864	Q₁₆	—	4	4	no	—
865	SD₁₆	—	2	8	no	—
866	SD₁₆	—	4	4	no	—
867	SD₁₆	—	4	4	no	—
868	SD₁₆	—	4	4	no	—
869	D₈	—	2	8	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	—	2	1	no	—
885	C₂×C₈	—	2	1	no	—
886	C₂×C₈	C₂²×D₄	1	2	yes	—
887	C₂×C₈	C₂²×D₄	1	2	yes	—
888	C₂×C₈	C₂²×D₄	1	2	yes	—
889	C₂×C₈	C₂²×D₄	1	2	yes	—
890	C₂×C₈	C₂²×D₄	1	2	yes	—
891	C₂×C₈	C₂²×D₄	1	2	yes	—
892	C₂×C₈	C₂²×D₄	1	2	yes	—
893	C₂×C₈	C₂²×D₄	1	2	yes	—
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	—	2	1	no	—
914	C₄⋊C₄	—	4	2	no	—
915	C₄⋊C₄	—	4	2	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	2	no	—
923	C₄⋊C₄	—	4	2	no	—
924	C₄⋊C₄	—	4	2	no	—
925	C₄⋊C₄	—	4	2	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₄⋊C₄	—	4	2	no	—
934	C₄⋊C₄	—	4	2	no	—
935	C₄⋊C₄	—	4	2	no	—
936	C₄⋊C₄	—	4	2	no	—
937	C₄⋊C₄	—	4	2	no	—
938	C₄⋊C₄	—	4	2	no	—
939	C₄⋊C₄	—	4	2	no	—
940	C₄⋊C₄	—	4	2	no	—
941	C₄⋊C₄	—	4	2	no	—
942	C₄⋊C₄	—	4	2	no	—
943	C₄⋊C₄	—	4	2	no	—
944	C₄⋊C₄	—	8	2	no	—
945	C₄⋊C₄	—	8	2	no	—
946	C₄⋊C₄	—	8	2	no	—
947	C₄⋊C₄	—	8	2	no	—
948	C₄⋊C₄	—	8	2	no	—
949	C₄⋊C₄	—	8	2	no	—
950	C₄⋊C₄	#127	1	4	yes	—
951	C₄⋊C₄	#127	1	4	yes	—
952	C₄⋊C₄	#127	1	4	yes	—
953	C₂²⋊C₄	—	2	8	no	—
954	C₂²⋊C₄	—	4	4	no	—
955	C₂²⋊C₄	—	4	4	no	—
956	C₂²⋊C₄	—	4	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	2	no	—
964	C₂²⋊C₄	—	8	2	no	—
965	C₂²⋊C₄	—	8	2	no	—
966	C₂²⋊C₄	—	8	2	no	—
967	C₄²	—	2	1	no	—
968	C₄²	—	2	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	—	4	2	no	—
976	C₄²	—	4	2	no	—
977	C₄²	—	4	2	no	—
978	C₄²	—	4	2	no	—
979	C₄²	—	4	2	no	—
980	C₄²	—	4	2	no	—
981	C₄²	—	4	2	no	—
982	C₄²	—	4	2	no	—
983	C₄²	C₂²×D₄	1	2	yes	—
984	C₄²	C₂²×D₄	1	2	yes	—
985	C₄²	C₂²×D₄	1	2	yes	—
986	C₄²	C₂²×D₄	1	2	yes	—
987	C₄²	C₂²×D₄	1	2	yes	—
988	C₄²	C₂²×D₄	1	2	yes	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	4	2	no	—
992	C₂³	—	4	2	no	—
993	C₂³	—	4	2	no	—
994	C₂³	—	4	2	no	—
995	C₂³	—	4	1	no	—
996	C₂³	—	4	1	no	—
997	C₂³	—	4	1	no	—
998	C₂³	—	4	1	no	—
999	C₂³	C₂³×D₄	1	1	yes	characteristic
1000	Q₈	—	2	2	no	—
1001	Q₈	—	2	2	no	—
1002	Q₈	—	4	4	no	—
1003	Q₈	—	4	1	no	—
1004	Q₈	—	4	1	no	—
1005	Q₈	—	4	1	no	—
1006	Q₈	—	4	1	no	—
1007	Q₈	—	4	1	no	—
1008	Q₈	—	4	1	no	—
1009	Q₈	—	4	1	no	—
1010	Q₈	—	4	1	no	—
1011	Q₈	—	4	1	no	—
1012	Q₈	—	4	1	no	—
1013	Q₈	—	4	1	no	—
1014	Q₈	—	4	1	no	—
1015	Q₈	—	4	1	no	—
1016	Q₈	—	4	1	no	—
1017	Q₈	—	8	4	no	—
1018	Q₈	—	16	2	no	—
1019	Q₈	—	16	2	no	—
1020	D₄	—	2	2	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	4	1	no	—
1025	D₄	—	4	1	no	—
1026	D₄	—	4	1	no	—
1027	D₄	—	4	1	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	4	1	no	—
1048	C₂×C₄	—	4	1	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	2	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	1	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	1	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	1	no	—
1075	C₂×C₄	—	4	1	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	1	no	—
1078	C₂×C₄	—	8	4	no	—
1079	C₂×C₄	—	8	4	no	—
1080	C₂×C₄	—	16	2	no	—
1081	C₂×C₄	—	16	2	no	—
1082	C₂×C₄	—	16	2	no	—
1083	C₂×C₄	—	16	2	no	—
1084	C₂×C₄	C₂×#127	1	2	yes	—
1085	C₂×C₄	C₂×#127	1	2	yes	—
1086	C₂×C₄	C₂×#127	1	2	yes	—
1087	C₂×C₄	C₂×#127	1	2	yes	—
1088	C₂×C₄	C₂×#127	1	2	yes	—
1089	C₂×C₄	C₂×#127	1	2	yes	—
1090	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1091	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1092	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1093	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1094	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1095	C₂×C₄	#585	1	1	yes	characteristic
1096	C₈	—	2	2	no	—
1097	C₈	—	2	2	no	—
1098	C₈	—	2	2	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	2	no	—
1101	C₈	—	2	2	no	—
1102	C₈	—	2	2	no	—
1103	C₈	—	2	2	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	4	no	—
1107	C₂²	—	4	4	no	—
1108	C₂²	—	8	2	no	—
1109	C₂²	—	8	2	no	—
1110	C₂²	—	8	1	no	—
1111	C₂²	—	8	1	no	—
1112	C₂²	—	8	1	no	—
1113	C₂²	—	8	1	no	—
1114	C₂²	C₂²×#127	1	1	yes	characteristic
1115	C₂²	#3486	1	1	yes	characteristic
1116	C₂²	#3489	1	1	yes	characteristic
1117	C₂²	#3584	1	2	yes	—
1118	C₂²	#3586	1	2	yes	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	2	2	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	2	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	2	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	8	1	no	—
1131	C₄	—	8	1	no	—
1132	C₄	—	8	1	no	—
1133	C₄	—	8	1	no	—
1134	C₄	—	8	1	no	—
1135	C₄	—	8	1	no	—
1136	C₄	—	8	1	no	—
1137	C₄	—	8	1	no	—
1138	C₄	—	8	1	no	—
1139	C₄	—	8	1	no	—
1140	C₄	—	8	1	no	—
1141	C₄	—	8	1	no	—
1142	C₄	—	8	1	no	—
1143	C₄	#3486	1	1	yes	characteristic
1144	C₄	#3486	1	1	yes	characteristic
1145	C₄	#3489	1	1	yes	characteristic
1146	C₄	#3489	1	1	yes	characteristic
1147	C₂	—	8	2	no	—
1148	C₂	—	8	2	no	—
1149	C₂	#35927	1	1	yes	characteristic
1150	C₂	#60645	1	1	yes	characteristic
1151	C₂	#60649	1	1	yes	characteristic
1152	C₂	#61862	1	2	yes	—
1153	C₂	#62160	1	2	yes	—

	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 ◁ #2295 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. C₂×#3388	C₂	semidirect
3. C₂×#3374	C₂	semidirect
4. C₂×#3372	C₂	semidirect
5. #39613	C₂	semidirect
6. #39173	C₂	semidirect
7. #30288	C₂	semidirect
8. #30288	C₂	semidirect
9. #30284	C₂	semidirect
10. #28550	C₂	semidirect
11. #28549	C₂	semidirect
12. #28546	C₂	semidirect
13. #28543	C₂	semidirect
14. #28535	C₂	semidirect
15. #28533	C₂	semidirect
16. #28524	C₂	semidirect
17. #28523	C₂	semidirect
18. #28513	C₂	semidirect
21. #28427	C₂	semidirect
22. #28427	C₂	semidirect
23. #28403	C₂	semidirect
25. #28390	C₂	semidirect
26. #28390	C₂	semidirect
27. #28372	C₂	semidirect
31. #20575	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3389	2
C₂×#3388	2
C₂×#3374	2
C₂×#3372	2
#39613	2
#39173	2
#30288	2
#30284	2
#28550	2
#28549	2
#28546	2
#28543	2
#28535	2
#28533	2
#28524	2
#28523	2
#28513	2
#28429	2
#28427	2
#28403	2
#28398	2
#28390	2
#28372	2
#23813	2
#23812	2
#23804	2
#20575	2