Subgroups — #6497683

Order 512.

1988 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3233	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3232	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#3183	C₂	1	1	yes	maximal, characteristic
4	C₂×#3166	C₂	1	1	yes	maximal, characteristic, complemented
5	#35201	C₂	1	1	yes	maximal, characteristic, complemented
6	#35139	C₂	1	1	yes	maximal, characteristic, complemented
7	#33315	C₂	1	1	yes	maximal, characteristic, complemented
8	#33311	C₂	1	1	yes	maximal, characteristic, complemented
9	#33253	C₂	1	1	yes	maximal, characteristic, complemented
10	#33240	C₂	1	1	yes	maximal, characteristic, complemented
11	#30282	C₂	1	1	yes	maximal, characteristic, complemented
12	#30282	C₂	1	1	yes	maximal, characteristic, complemented
13	#30282	C₂	1	1	yes	maximal, characteristic, complemented
14	#30282	C₂	1	1	yes	maximal, characteristic, complemented
15	#28550	C₂	1	1	yes	maximal, characteristic, complemented
16	#28549	C₂	1	1	yes	maximal, characteristic, complemented
17	#28548	C₂	1	1	yes	maximal, characteristic, complemented
18	#28547	C₂	1	1	yes	maximal, characteristic, complemented
19	#28546	C₂	1	1	yes	maximal, characteristic, complemented
20	#28545	C₂	1	1	yes	maximal, characteristic, complemented
21	#28544	C₂	1	1	yes	maximal, characteristic, complemented
22	#28543	C₂	1	1	yes	maximal, characteristic, complemented
23	#27947	C₂	1	1	yes	maximal, characteristic, complemented
24	#27946	C₂	1	1	yes	maximal, characteristic, complemented
25	#27945	C₂	1	1	yes	maximal, characteristic, complemented
26	#27944	C₂	1	1	yes	maximal, characteristic, complemented
27	#27943	C₂	1	1	yes	maximal, characteristic, complemented
28	#27942	C₂	1	1	yes	maximal, characteristic
29	#27941	C₂	1	1	yes	maximal, characteristic
30	#27940	C₂	1	1	yes	maximal, characteristic, complemented
31	#20472	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂×#529	C₂²	1	1	yes	characteristic
34	C₂×#529	C₂²	1	1	yes	characteristic
35	C₂²×#125	C₂²	1	1	yes	characteristic
36	#3233	—	2	8	no	—
37	#3232	—	2	8	no	—
38	#3183	—	2	8	no	—
39	#3166	—	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×#499	C₂²	1	1	yes	characteristic
47	C₂×#499	C₂²	1	1	yes	characteristic
48	C₂×#499	C₂²	1	1	yes	characteristic
49	C₂×#499	C₂²	1	1	yes	characteristic
50	C₂×#499	C₂²	1	1	yes	characteristic
51	C₂×#499	C₂²	1	1	yes	characteristic
52	C₂×#499	C₂²	1	1	yes	characteristic
53	C₂×#495	C₂²	1	1	yes	characteristic
54	C₂×#488	C₂²	1	1	yes	characteristic
55	C₂×#488	C₂²	1	1	yes	characteristic
56	C₂×#488	C₂²	1	1	yes	characteristic
57	C₂×#488	C₂²	1	1	yes	characteristic
58	C₂×#488	C₂²	1	1	yes	characteristic
59	C₂×#488	C₂²	1	1	yes	characteristic
60	C₂×#484	C₂²	1	1	yes	characteristic
61	C₂×#481	C₂²	1	1	yes	characteristic
62	C₂×#485	C₂²	1	1	yes	characteristic
63	C₂×#485	C₂²	1	1	yes	characteristic
64	C₂×#482	C₂²	1	1	yes	characteristic
65	C₂×#482	C₂²	1	1	yes	characteristic
66	C₂×#483	C₂²	1	1	yes	characteristic
67	C₂×#480	C₂²	1	1	yes	characteristic
68	C₂×#479	C₂²	1	1	yes	characteristic
69	C₂×#479	C₂²	1	1	yes	characteristic
70	C₂×#477	C₂²	1	1	yes	characteristic
71	C₂×#475	C₂²	1	1	yes	characteristic
72	C₂×#478	C₂²	1	1	yes	characteristic
73	C₂×#478	C₂²	1	1	yes	characteristic
74	C₂×#476	C₂²	1	1	yes	characteristic
75	C₂×#474	C₂²	1	1	yes	characteristic
76	C₂×#470	C₂²	1	1	yes	characteristic
77	C₂×#469	C₂²	1	1	yes	characteristic
78	C₂×#468	C₂²	1	1	yes	characteristic
79	C₂×#468	C₂²	1	1	yes	characteristic
80	C₂×#442	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×#431	C₂²	1	1	yes	characteristic
85	C₂×#428	C₂²	1	1	yes	characteristic
86	C₂×#428	C₂²	1	1	yes	characteristic
87	C₂×#428	C₂²	1	1	yes	characteristic
88	C₂×#428	C₂²	1	1	yes	characteristic
89	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
90	#2861	C₂²	1	1	yes	characteristic
91	#2861	C₂²	1	1	yes	characteristic
92	#2861	C₂²	1	1	yes	characteristic
93	#2861	C₂²	1	1	yes	characteristic
94	#2859	C₂²	1	1	yes	characteristic
95	#2859	C₂²	1	1	yes	characteristic
96	#2859	C₂²	1	1	yes	characteristic
97	#2859	C₂²	1	1	yes	characteristic
98	#2664	—	2	2	no	—
99	#2663	—	2	2	no	—
100	#2611	—	2	2	no	—
101	#2604	—	2	2	no	—
102	#2568	C₂²	1	1	yes	characteristic
103	#2567	C₂²	1	1	yes	characteristic
104	#2566	C₂²	1	1	yes	characteristic
105	#2566	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	#2542	C₂²	1	1	yes	characteristic
110	#2504	C₂²	1	1	yes	characteristic
111	#2503	C₂²	1	1	yes	characteristic
112	#2502	C₂²	1	1	yes	characteristic
113	#2501	C₂²	1	1	yes	characteristic
114	#2500	C₂²	1	1	yes	characteristic
115	#2500	C₂²	1	1	yes	characteristic
116	#2499	C₂²	1	1	yes	characteristic
117	#2499	C₂²	1	1	yes	characteristic
118	#2415	—	2	2	no	—
119	#2413	—	2	2	no	—
120	#2323	—	2	2	no	—
121	#2322	—	2	2	no	—
122	C₄×#117	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	#2096	C₂²	1	1	yes	characteristic
132	#2096	C₂²	1	1	yes	characteristic
133	#2096	C₂²	1	1	yes	characteristic
134	#2096	C₂²	1	1	yes	characteristic
135	#2095	C₂²	1	1	yes	characteristic
136	#2095	C₂²	1	1	yes	characteristic
137	#2095	C₂²	1	1	yes	characteristic
138	#2095	C₂²	1	1	yes	characteristic
139	#2094	C₂²	1	1	yes	characteristic
140	#2094	C₂²	1	1	yes	characteristic
141	#2094	C₂²	1	1	yes	characteristic
142	#2094	C₂²	1	1	yes	characteristic
143	#2093	C₂²	1	1	yes	characteristic
144	#2093	C₂²	1	1	yes	characteristic
145	#2093	C₂²	1	1	yes	characteristic
146	#2093	C₂²	1	1	yes	characteristic
147	#2092	C₂²	1	1	yes	characteristic
148	#2092	C₂²	1	1	yes	characteristic
149	#2092	C₂²	1	1	yes	characteristic
150	#2092	C₂²	1	1	yes	characteristic
151	#2092	C₂²	1	1	yes	characteristic
152	#2092	C₂²	1	1	yes	characteristic
153	#2092	C₂²	1	1	yes	characteristic
154	#2092	C₂²	1	1	yes	characteristic
155	#1973	C₂²	1	1	yes	characteristic
156	#1973	C₂²	1	1	yes	characteristic
157	#1973	C₂²	1	1	yes	characteristic
158	#1973	C₂²	1	1	yes	characteristic
159	#1972	C₂²	1	1	yes	characteristic
160	#1972	C₂²	1	1	yes	characteristic
161	#1971	C₂²	1	1	yes	characteristic
162	#1971	C₂²	1	1	yes	characteristic
163	#1970	C₂²	1	1	yes	characteristic
164	#1970	C₂²	1	1	yes	characteristic
165	#1969	C₂²	1	1	yes	characteristic
166	#1969	C₂²	1	1	yes	characteristic
167	#1968	C₂²	1	1	yes	characteristic
168	#1968	C₂²	1	1	yes	characteristic
169	#1968	C₂²	1	1	yes	characteristic
170	#1968	C₂²	1	1	yes	characteristic
171	#1847	C₂²	1	1	yes	characteristic
172	#1847	C₂²	1	1	yes	characteristic
173	#1847	C₂²	1	1	yes	characteristic
174	#1847	C₂²	1	1	yes	characteristic
175	#1847	C₂²	1	1	yes	characteristic
176	#1847	C₂²	1	1	yes	characteristic
177	#1847	C₂²	1	1	yes	characteristic
178	#1847	C₂²	1	1	yes	characteristic
179	#1846	C₂²	1	1	yes	characteristic
180	#1846	C₂²	1	1	yes	characteristic
181	#1846	C₂²	1	1	yes	characteristic
182	#1846	C₂²	1	1	yes	characteristic
183	#1845	C₂²	1	1	yes	characteristic
184	#1845	C₂²	1	1	yes	characteristic
185	#1844	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	#1753	C₂²	1	1	yes	characteristic
192	#1753	C₂²	1	1	yes	characteristic
193	#1753	C₂²	1	1	yes	characteristic
194	#1753	C₂²	1	1	yes	characteristic
195	#1744	C₂²	1	1	yes	characteristic
196	#1744	C₂²	1	1	yes	characteristic
197	C₄×#97	C₂²	1	1	yes	characteristic
198	C₄²×C₈	C₂²	1	1	yes	characteristic
199	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
200	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
201	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
202	C₂²×D₈	C₂³	1	1	yes	characteristic
203	C₂²×M₁₆	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	C₂³	1	1	yes	characteristic
205	#533	—	2	4	no	—
206	#533	—	2	4	no	—
207	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	#529	—	2	4	no	—
210	#529	—	2	4	no	—
211	#529	—	2	4	no	—
212	#529	—	2	4	no	—
213	C₂×#126	—	2	1	no	—
214	C₂×#126	—	2	1	no	—
215	C₂×#125	—	2	1	no	—
216	C₂×#125	—	2	1	no	—
217	C₂×#125	—	2	4	no	—
218	C₂×#125	—	2	4	no	—
219	C₂×#125	C₂³	1	1	yes	characteristic
220	C₂×#125	C₂³	1	1	yes	characteristic
221	C₂×#125	C₂³	1	1	yes	characteristic
222	C₂×#125	C₂³	1	1	yes	characteristic
223	C₂×#125	C₂³	1	1	yes	characteristic
224	C₂×#125	C₂³	1	1	yes	characteristic
225	C₂×#125	C₂³	1	1	yes	characteristic
226	C₂×#125	C₂³	1	1	yes	characteristic
227	C₂×#124	C₂³	1	1	yes	characteristic
228	C₂×#124	C₂³	1	1	yes	characteristic
229	C₂×#123	—	2	1	no	—
230	C₂×#123	—	2	1	no	—
231	C₂×#123	—	2	2	no	—
232	C₂×C₂²⋊Q₈	—	2	1	no	—
233	C₂×C₂²⋊Q₈	—	2	1	no	—
234	C₂×C₂²⋊Q₈	—	2	2	no	—
235	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₂×#121	C₂³	1	1	yes	characteristic
238	C₂×#121	C₂³	1	1	yes	characteristic
239	C₂×C₄×Q₈	—	2	1	no	—
240	C₂×C₄×Q₈	—	2	1	no	—
241	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄	—	2	1	no	—
244	C₂×C₄×D₄	—	2	1	no	—
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×#117	—	2	1	no	—
248	C₂×#117	—	2	1	no	—
249	C₂×#117	D₄	1	2	yes	—
250	C₂×#117	C₂³	1	1	yes	characteristic
251	C₂×#117	C₂³	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	—	2	1	no	—
253	C₂²×C₄⋊C₄	—	2	1	no	—
254	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂²×C₄²	C₂³	1	1	yes	characteristic
257	#501	—	2	4	no	—
258	#501	—	2	4	no	—
259	#501	—	2	4	no	—
260	#501	—	2	4	no	—
261	#499	—	2	4	no	—
262	#499	—	2	4	no	—
263	#499	—	2	4	no	—
264	#499	—	2	4	no	—
265	#499	—	2	4	no	—
266	#499	—	2	4	no	—
267	#499	—	2	4	no	—
268	#499	—	2	4	no	—
269	#499	—	2	4	no	—
270	#495	—	2	4	no	—
271	#488	—	2	4	no	—
272	#488	—	2	4	no	—
273	#488	—	2	4	no	—
274	#488	—	2	4	no	—
275	#488	—	2	4	no	—
276	#488	—	2	4	no	—
277	#485	—	2	4	no	—
278	#485	—	2	4	no	—
279	#484	—	2	4	no	—
280	#483	—	2	4	no	—
281	#482	—	2	4	no	—
282	#482	—	2	4	no	—
283	#481	—	2	4	no	—
284	#480	—	2	4	no	—
285	#479	—	2	4	no	—
286	#479	—	2	4	no	—
287	#478	—	2	4	no	—
288	#478	—	2	4	no	—
289	#477	—	2	4	no	—
290	#476	—	2	4	no	—
291	#475	—	2	4	no	—
292	#474	—	2	4	no	—
293	#470	—	2	4	no	—
294	#469	—	2	4	no	—
295	#468	—	2	4	no	—
296	#468	—	2	4	no	—
297	#442	—	2	4	no	—
298	#441	—	2	4	no	—
299	#440	—	2	4	no	—
300	#440	—	2	4	no	—
301	#431	D₄	1	8	yes	—
302	#428	—	2	4	no	—
303	#428	—	2	4	no	—
304	#428	—	2	4	no	—
305	#428	—	2	4	no	—
306	C₂×#107	C₂³	1	1	yes	characteristic
307	C₂×#107	C₂³	1	1	yes	characteristic
308	C₂×#107	C₂³	1	1	yes	characteristic
309	C₂×#107	C₂³	1	1	yes	characteristic
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×#107	C₂³	1	1	yes	characteristic
323	C₂×#107	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×#106	C₂³	1	1	yes	characteristic
335	C₂×#106	C₂³	1	1	yes	characteristic
336	C₂×#106	C₂³	1	1	yes	characteristic
337	C₂×#106	C₂³	1	1	yes	characteristic
338	C₂×#106	C₂³	1	1	yes	characteristic
339	C₂×#106	C₂³	1	1	yes	characteristic
340	C₂×#106	C₂³	1	1	yes	characteristic
341	C₂×#106	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
357	C₂×#102	C₂³	1	1	yes	characteristic
358	C₂×#102	C₂³	1	1	yes	characteristic
359	C₂×#102	C₂³	1	1	yes	characteristic
360	C₂×#102	C₂³	1	1	yes	characteristic
361	C₂×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
370	C₄×M₁₆	D₄	1	8	yes	—
371	C₂×#97	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×C₄×C₈	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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
385	#400	—	2	2	no	—
386	#400	—	2	2	no	—
387	#399	—	2	2	no	—
388	#399	—	2	2	no	—
389	#398	—	2	2	no	—
390	#398	—	2	2	no	—
391	#398	—	2	2	no	—
392	#397	—	2	2	no	—
393	#397	—	2	2	no	—
394	#397	—	2	2	no	—
395	#396	—	2	2	no	—
396	#396	—	2	2	no	—
397	#395	—	2	2	no	—
398	#394	—	2	2	no	—
399	#394	—	2	2	no	—
400	#393	—	2	2	no	—
401	#391	—	2	2	no	—
402	#391	C₂³	1	1	yes	characteristic
403	#391	C₂³	1	1	yes	characteristic
404	#391	C₂³	1	1	yes	characteristic
405	#391	C₂³	1	1	yes	characteristic
406	#391	C₂³	1	1	yes	characteristic
407	#391	C₂³	1	1	yes	characteristic
408	#391	C₂³	1	1	yes	characteristic
409	#391	C₂³	1	1	yes	characteristic
410	#390	C₂³	1	1	yes	characteristic
411	#390	C₂³	1	1	yes	characteristic
412	#390	C₂³	1	1	yes	characteristic
413	#390	C₂³	1	1	yes	characteristic
414	#390	C₂³	1	1	yes	characteristic
415	#390	C₂³	1	1	yes	characteristic
416	#390	C₂³	1	1	yes	characteristic
417	#390	C₂³	1	1	yes	characteristic
418	#389	—	2	2	no	—
419	#389	—	2	2	no	—
420	#389	—	2	2	no	—
421	#389	—	2	2	no	—
422	#389	—	2	2	no	—
423	#389	—	2	2	no	—
424	#389	—	2	2	no	—
425	#389	—	2	2	no	—
426	#389	—	2	2	no	—
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	#388	—	2	2	no	—
434	#388	—	2	2	no	—
435	#388	—	2	2	no	—
436	#388	—	2	2	no	—
437	#387	—	2	2	no	—
438	#387	—	2	2	no	—
439	#387	—	2	2	no	—
440	#387	—	2	2	no	—
441	#386	—	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	#384	C₂³	1	1	yes	characteristic
452	#384	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	#382	C₂³	1	1	yes	characteristic
459	#382	C₂³	1	1	yes	characteristic
460	#382	C₂³	1	1	yes	characteristic
461	#381	—	2	2	no	—
462	#380	—	2	2	no	—
463	C₄×C₄⋊C₄	D₄	1	2	yes	—
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	D₄	1	2	yes	—
467	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	#376	D₄	1	2	yes	—
470	C₄³	C₂³	1	1	yes	characteristic
471	C₄³	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	C₂⁴	1	1	yes	characteristic
483	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
484	C₂²×D₄	—	2	1	no	—
485	C₂²×D₄	—	2	1	no	—
486	C₂²×D₄	C₂⁴	1	1	yes	characteristic
487	C₂²×D₄	C₂⁴	1	1	yes	characteristic
488	C₂³×C₄	—	2	1	no	—
489	C₂³×C₄	—	2	1	no	—
490	C₂³×C₄	—	2	1	no	—
491	C₂³×C₄	—	2	1	no	—
492	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
493	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
494	C₂³×C₄	C₂⁴	1	1	yes	characteristic
495	C₂×Q₁₆	—	2	2	no	—
496	C₂×Q₁₆	—	2	2	no	—
497	C₂×Q₁₆	—	2	2	no	—
498	C₂×SD₁₆	—	2	2	no	—
499	C₂×SD₁₆	—	2	2	no	—
500	C₂×SD₁₆	—	2	2	no	—
501	C₂×SD₁₆	—	2	2	no	—
502	C₂×SD₁₆	—	2	2	no	—
503	C₂×SD₁₆	—	2	2	no	—
504	C₂×D₈	—	2	2	no	—
505	C₂×D₈	—	2	2	no	—
506	C₂×D₈	—	2	2	no	—
507	C₂×M₁₆	—	2	2	no	—
508	C₂×M₁₆	—	2	2	no	—
509	C₂×M₁₆	—	2	2	no	—
510	C₂×M₁₆	—	2	2	no	—
511	C₂×M₁₆	C₂×D₄	1	4	yes	—
512	C₂×M₁₆	C₂×D₄	1	4	yes	—
513	C₂²×C₈	C₂⁴	1	1	yes	characteristic
514	C₂²×C₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₈	C₂⁴	1	1	yes	characteristic
516	C₂²×C₈	C₂⁴	1	1	yes	characteristic
517	C₂²×C₈	C₂⁴	1	1	yes	characteristic
518	C₂²×C₈	C₂⁴	1	1	yes	characteristic
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₂²×C₈	C₂⁴	1	1	yes	characteristic
521	C₄⋊Q₈	—	2	2	no	—
522	C₄⋊Q₈	—	2	2	no	—
523	C₄⋊Q₈	—	2	2	no	—
524	C₄⋊Q₈	—	2	2	no	—
525	#126	—	4	4	no	—
526	#126	—	4	4	no	—
527	#125	—	2	2	no	—
528	#125	—	2	2	no	—
529	#125	—	2	2	no	—
530	#125	—	2	2	no	—
531	#125	—	2	2	no	—
532	#125	—	2	2	no	—
533	#125	—	2	2	no	—
534	#125	—	2	2	no	—
535	#125	—	2	2	no	—
536	#125	—	2	2	no	—
537	#125	—	2	2	no	—
538	#125	—	2	2	no	—
539	#125	—	2	2	no	—
540	#125	—	2	2	no	—
541	#125	—	2	2	no	—
542	#125	—	2	2	no	—
543	#125	—	4	4	no	—
544	#125	—	4	4	no	—
545	#124	—	2	2	no	—
546	#124	—	2	2	no	—
547	#124	—	2	2	no	—
548	#124	—	2	2	no	—
549	#123	—	4	8	no	—
550	#123	—	4	4	no	—
551	#123	—	4	4	no	—
552	C₂²⋊Q₈	—	2	2	no	—
553	C₂²⋊Q₈	—	2	2	no	—
554	C₂²⋊Q₈	—	2	2	no	—
555	C₂²⋊Q₈	—	2	2	no	—
556	C₂²⋊Q₈	—	4	8	no	—
557	C₂²⋊Q₈	—	4	4	no	—
558	C₂²⋊Q₈	—	4	4	no	—
559	#121	—	2	2	no	—
560	#121	—	2	2	no	—
561	#121	—	2	2	no	—
562	#121	—	2	2	no	—
563	C₄×Q₈	—	2	2	no	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	2	2	no	—
566	C₄×Q₈	—	2	2	no	—
567	C₄×Q₈	—	4	4	no	—
568	C₄×Q₈	—	4	4	no	—
569	C₄×D₄	—	2	2	no	—
570	C₄×D₄	—	2	2	no	—
571	C₄×D₄	—	2	2	no	—
572	C₄×D₄	—	2	2	no	—
573	C₄×D₄	—	4	4	no	—
574	C₄×D₄	—	4	4	no	—
575	#117	—	2	2	no	—
576	#117	—	2	2	no	—
577	#117	—	2	2	no	—
578	#117	—	2	2	no	—
579	#117	—	4	4	no	—
580	#117	—	4	4	no	—
581	#117	—	4	4	no	—
582	C₂×C₄⋊C₄	—	2	2	no	—
583	C₂×C₄⋊C₄	—	2	2	no	—
584	C₂×C₄⋊C₄	—	2	2	no	—
585	C₂×C₄⋊C₄	—	2	2	no	—
586	C₂×C₄⋊C₄	—	2	1	no	—
587	C₂×C₄⋊C₄	—	2	1	no	—
588	C₂×C₄⋊C₄	—	2	1	no	—
589	C₂×C₄⋊C₄	—	2	1	no	—
590	C₂×C₄⋊C₄	—	2	1	no	—
591	C₂×C₄⋊C₄	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	—	2	1	no	—
597	C₂×C₄⋊C₄	—	2	1	no	—
598	C₂×C₄⋊C₄	—	2	1	no	—
599	C₂×C₄⋊C₄	—	2	1	no	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	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	2	no	—
611	C₂×C₄⋊C₄	—	2	2	no	—
612	C₂×C₄⋊C₄	—	2	2	no	—
613	C₂×C₄⋊C₄	—	2	2	no	—
614	C₂×C₄⋊C₄	—	2	2	no	—
615	C₂×C₄⋊C₄	—	2	2	no	—
616	C₂×C₄⋊C₄	—	2	2	no	—
617	C₂×C₄⋊C₄	—	2	2	no	—
618	C₂×C₄⋊C₄	—	4	4	no	—
619	C₂×C₄⋊C₄	—	4	4	no	—
620	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
621	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
622	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	—	2	1	no	—
635	C₂×C₂²⋊C₄	—	2	1	no	—
636	C₂×C₂²⋊C₄	—	2	1	no	—
637	C₂×C₂²⋊C₄	—	2	1	no	—
638	C₂×C₂²⋊C₄	—	2	1	no	—
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	—	2	1	no	—
641	C₂×C₂²⋊C₄	—	2	1	no	—
642	C₂×C₂²⋊C₄	—	2	1	no	—
643	C₂×C₂²⋊C₄	—	2	1	no	—
644	C₂×C₂²⋊C₄	—	2	1	no	—
645	C₂×C₂²⋊C₄	—	2	1	no	—
646	C₂×C₂²⋊C₄	—	2	2	no	—
647	C₂×C₂²⋊C₄	—	2	2	no	—
648	C₂×C₂²⋊C₄	—	2	2	no	—
649	C₂×C₂²⋊C₄	—	2	2	no	—
650	C₂×C₂²⋊C₄	—	2	2	no	—
651	C₂×C₂²⋊C₄	—	2	2	no	—
652	C₂×C₂²⋊C₄	—	2	2	no	—
653	C₂×C₂²⋊C₄	—	2	2	no	—
654	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
656	C₂×C₄²	—	2	1	no	—
657	C₂×C₄²	—	2	1	no	—
658	C₂×C₄²	—	2	1	no	—
659	C₂×C₄²	—	2	1	no	—
660	C₂×C₄²	C₂×D₄	1	2	yes	—
661	C₂×C₄²	C₂×D₄	1	2	yes	—
662	C₂×C₄²	C₂×D₄	1	2	yes	—
663	C₂×C₄²	C₂×D₄	1	2	yes	—
664	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
665	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
666	C₂×C₄²	C₂×D₄	1	4	yes	—
667	C₂×C₄²	C₂×D₄	1	4	yes	—
668	C₂×C₄²	C₂⁴	1	1	yes	characteristic
669	C₂×C₄²	C₂⁴	1	1	yes	characteristic
670	C₂×C₄²	C₂⁴	1	1	yes	characteristic
671	C₂×C₄²	C₂⁴	1	1	yes	characteristic
672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
674	#107	—	2	2	no	—
675	#107	—	2	2	no	—
676	#107	—	2	2	no	—
677	#107	—	2	2	no	—
678	#107	—	2	2	no	—
679	#107	—	2	2	no	—
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	#106	—	2	2	no	—
705	#106	—	2	2	no	—
706	#106	—	2	2	no	—
707	#106	—	2	2	no	—
708	#106	—	2	2	no	—
709	#106	—	2	2	no	—
710	C₄⋊C₈	C₂×D₄	1	4	yes	—
711	C₄⋊C₈	C₂×D₄	1	4	yes	—
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	#102	—	2	2	no	—
725	#102	—	2	2	no	—
726	#102	—	2	2	no	—
727	#102	—	2	2	no	—
728	#102	—	2	2	no	—
729	#102	—	2	2	no	—
730	#102	—	2	2	no	—
731	#102	—	2	2	no	—
732	#102	—	2	2	no	—
733	#102	—	2	2	no	—
734	#102	—	2	2	no	—
735	#102	—	2	2	no	—
736	C₂²⋊C₈	C₂×D₄	1	4	yes	—
737	C₂²⋊C₈	C₂×D₄	1	4	yes	—
738	#97	—	2	2	no	—
739	#97	—	2	2	no	—
740	#97	—	2	2	no	—
741	#97	—	2	2	no	—
742	#97	C₂×D₄	1	4	yes	—
743	#97	C₂×D₄	1	4	yes	—
744	C₄×C₈	—	2	2	no	—
745	C₄×C₈	—	2	2	no	—
746	C₄×C₈	—	2	2	no	—
747	C₄×C₈	—	2	2	no	—
748	C₄×C₈	C₂×D₄	1	4	yes	—
749	C₄×C₈	C₂×D₄	1	4	yes	—
750	C₄×C₈	C₂×D₄	1	4	yes	—
751	C₄×C₈	C₂×D₄	1	4	yes	—
752	#95	—	2	2	no	—
753	#95	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
769	#95	C₂×D₄	1	2	yes	—
770	#95	C₂×D₄	1	2	yes	—
771	#95	C₂×D₄	1	2	yes	—
772	C₂⁴	—	2	1	no	—
773	C₂⁴	—	2	1	no	—
774	C₂⁴	C₂²×D₄	1	1	yes	characteristic
775	C₂×Q₈	—	2	1	no	—
776	C₂×Q₈	—	2	1	no	—
777	C₂×Q₈	—	2	1	no	—
778	C₂×Q₈	—	2	1	no	—
779	C₂×Q₈	—	2	1	no	—
780	C₂×Q₈	—	2	1	no	—
781	C₂×Q₈	—	2	1	no	—
782	C₂×Q₈	—	2	1	no	—
783	C₂×Q₈	—	2	1	no	—
784	C₂×Q₈	—	2	1	no	—
785	C₂×Q₈	—	2	1	no	—
786	C₂×Q₈	—	2	1	no	—
787	C₂×Q₈	—	4	4	no	—
788	C₂×Q₈	—	4	2	no	—
789	C₂×Q₈	—	4	2	no	—
790	C₂×Q₈	—	8	2	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	—	2	1	no	—
798	C₂×D₄	—	2	1	no	—
799	C₂×D₄	—	2	1	no	—
800	C₂×D₄	—	2	1	no	—
801	C₂×D₄	—	2	1	no	—
802	C₂×D₄	—	2	1	no	—
803	C₂×D₄	—	4	4	no	—
804	C₂×D₄	—	4	2	no	—
805	C₂×D₄	—	4	2	no	—
806	C₂×D₄	—	8	2	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	—	4	4	no	—
828	C₂²×C₄	—	4	4	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	4	2	no	—
833	C₂²×C₄	—	8	2	no	—
834	C₂²×C₄	—	8	2	no	—
835	C₂²×C₄	#127	1	4	yes	—
836	C₂²×C₄	#127	1	4	yes	—
837	C₂²×C₄	C₂²×D₄	1	2	yes	—
838	C₂²×C₄	C₂²×D₄	1	2	yes	—
839	C₂²×C₄	C₂²×D₄	1	2	yes	—
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	2	yes	—
846	C₂²×C₄	C₂²×D₄	1	2	yes	—
847	C₂²×C₄	C₂²×D₄	1	2	yes	—
848	C₂²×C₄	C₂⁵	1	1	yes	characteristic
849	Q₁₆	—	4	4	no	—
850	SD₁₆	—	4	4	no	—
851	SD₁₆	—	4	4	no	—
852	D₈	—	4	4	no	—
853	M₁₆	—	2	8	no	—
854	M₁₆	—	2	8	no	—
855	C₂×C₈	—	2	1	no	—
856	C₂×C₈	—	2	1	no	—
857	C₂×C₈	—	2	1	no	—
858	C₂×C₈	—	2	1	no	—
859	C₂×C₈	—	2	1	no	—
860	C₂×C₈	—	2	1	no	—
861	C₂×C₈	—	2	1	no	—
862	C₂×C₈	—	2	1	no	—
863	C₂×C₈	—	2	1	no	—
864	C₂×C₈	—	2	1	no	—
865	C₂×C₈	—	2	1	no	—
866	C₂×C₈	—	2	1	no	—
867	C₂×C₈	C₂²×D₄	1	2	yes	—
868	C₂×C₈	C₂²×D₄	1	2	yes	—
869	C₂×C₈	C₂²×D₄	1	2	yes	—
870	C₂×C₈	C₂²×D₄	1	2	yes	—
871	C₂×C₈	C₂²×D₄	1	2	yes	—
872	C₂×C₈	C₂²×D₄	1	2	yes	—
873	C₂×C₈	C₂²×D₄	1	2	yes	—
874	C₂×C₈	C₂²×D₄	1	2	yes	—
875	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
876	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
877	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
878	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
879	C₄⋊C₄	—	2	4	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	—	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	—	4	2	no	—
905	C₄⋊C₄	—	4	4	no	—
906	C₄⋊C₄	—	4	4	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	—	4	2	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	4	2	no	—
914	C₄⋊C₄	—	4	2	no	—
915	C₄⋊C₄	—	4	2	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	2	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	2	no	—
923	C₄⋊C₄	—	4	2	no	—
924	C₄⋊C₄	—	4	2	no	—
925	C₄⋊C₄	—	4	2	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	4	no	—
932	C₄⋊C₄	—	4	4	no	—
933	C₄⋊C₄	—	8	2	no	—
934	C₄⋊C₄	—	8	2	no	—
935	C₄⋊C₄	—	8	2	no	—
936	C₄⋊C₄	—	8	2	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	4	2	no	—
939	C₂²⋊C₄	—	4	4	no	—
940	C₂²⋊C₄	—	4	4	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	—	4	2	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₂²⋊C₄	—	4	4	no	—
954	C₂²⋊C₄	—	4	4	no	—
955	C₂²⋊C₄	—	8	2	no	—
956	C₂²⋊C₄	—	8	2	no	—
957	C₂²⋊C₄	—	8	2	no	—
958	C₂²⋊C₄	—	8	2	no	—
959	C₄²	—	2	4	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	2	1	no	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	1	no	—
964	C₄²	—	2	1	no	—
965	C₄²	—	2	1	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	1	no	—
968	C₄²	—	4	2	no	—
969	C₄²	—	4	2	no	—
970	C₄²	—	4	2	no	—
971	C₄²	—	4	2	no	—
972	C₄²	—	4	2	no	—
973	C₄²	—	4	2	no	—
974	C₄²	—	4	2	no	—
975	C₄²	#127	1	4	yes	—
976	C₄²	#127	1	4	yes	—
977	C₄²	C₂²×D₄	1	2	yes	—
978	C₄²	C₂²×D₄	1	2	yes	—
979	C₄²	C₂²×D₄	1	2	yes	—
980	C₄²	C₂²×D₄	1	2	yes	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	4	2	no	—
986	C₂³	—	4	2	no	—
987	C₂³	—	4	1	no	—
988	C₂³	—	4	1	no	—
989	C₂³	—	4	1	no	—
990	C₂³	—	4	1	no	—
991	C₂³	—	4	1	no	—
992	C₂³	—	4	1	no	—
993	C₂³	—	4	2	no	—
994	C₂³	—	4	2	no	—
995	C₂³	C₂×#127	1	2	yes	—
996	C₂³	C₂³×D₄	1	1	yes	characteristic
997	Q₈	—	4	1	no	—
998	Q₈	—	4	1	no	—
999	Q₈	—	4	1	no	—
1000	Q₈	—	4	1	no	—
1001	Q₈	—	4	1	no	—
1002	Q₈	—	4	1	no	—
1003	Q₈	—	4	1	no	—
1004	Q₈	—	4	1	no	—
1005	Q₈	—	8	4	no	—
1006	Q₈	—	8	4	no	—
1007	D₄	—	4	1	no	—
1008	D₄	—	4	1	no	—
1009	D₄	—	4	1	no	—
1010	D₄	—	4	1	no	—
1011	D₄	—	4	1	no	—
1012	D₄	—	4	1	no	—
1013	D₄	—	4	1	no	—
1014	D₄	—	4	1	no	—
1015	D₄	—	8	4	no	—
1016	D₄	—	8	4	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	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	—	4	4	no	—
1039	C₂×C₄	—	4	4	no	—
1040	C₂×C₄	—	4	2	no	—
1041	C₂×C₄	—	4	2	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	2	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	1	no	—
1047	C₂×C₄	—	4	1	no	—
1048	C₂×C₄	—	4	1	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	1	no	—
1052	C₂×C₄	—	4	1	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	1	no	—
1055	C₂×C₄	—	4	1	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	1	no	—
1058	C₂×C₄	—	4	1	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	2	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	8	4	no	—
1071	C₂×C₄	—	8	4	no	—
1072	C₂×C₄	—	8	4	no	—
1073	C₂×C₄	—	8	4	no	—
1074	C₂×C₄	C₂×#127	1	2	yes	—
1075	C₂×C₄	C₂×#127	1	2	yes	—
1076	C₂×C₄	C₂×#127	1	2	yes	—
1077	C₂×C₄	C₂×#127	1	2	yes	—
1078	C₂×C₄	C₂×#127	1	2	yes	—
1079	C₂×C₄	#575	1	4	yes	—
1080	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1081	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1082	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1083	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1084	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1085	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1086	C₈	—	2	2	no	—
1087	C₈	—	2	2	no	—
1088	C₈	—	2	2	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	2	2	no	—
1091	C₈	—	2	2	no	—
1092	C₈	#536	1	4	yes	—
1093	C₈	#536	1	4	yes	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	8	2	no	—
1100	C₂²	—	8	2	no	—
1101	C₂²	—	8	2	no	—
1102	C₂²	—	8	2	no	—
1103	C₂²	—	8	1	no	—
1104	C₂²	—	8	1	no	—
1105	C₂²	—	8	1	no	—
1106	C₂²	—	8	1	no	—
1107	C₂²	—	8	1	no	—
1108	C₂²	—	8	1	no	—
1109	C₂²	C₂²×#127	1	1	yes	characteristic
1110	C₂²	#3499	1	1	yes	characteristic
1111	C₂²	#3499	1	1	yes	characteristic
1112	C₂²	C₂×#575	1	2	yes	—
1113	C₂²	#3584	1	2	yes	—
1114	C₄	—	2	4	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	2	no	—
1123	C₄	—	8	1	no	—
1124	C₄	—	8	1	no	—
1125	C₄	—	8	1	no	—
1126	C₄	—	8	1	no	—
1127	C₄	—	8	1	no	—
1128	C₄	—	8	1	no	—
1129	C₄	—	8	1	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	C₂×#536	1	1	yes	characteristic
1138	C₄	C₂×#536	1	1	yes	characteristic
1139	C₄	#3499	1	1	yes	characteristic
1140	C₄	#3499	1	1	yes	characteristic
1141	C₂	—	4	2	no	—
1142	C₂	—	16	1	no	—
1143	C₂	—	16	1	no	—
1144	C₂	#35317	1	1	yes	characteristic
1145	C₂	#60639	1	1	yes	characteristic
1146	C₂	#60643	1	1	yes	characteristic
1147	C₂	#62484	1	2	yes	—
1148	C₂	#62485	1	2	yes	—

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂×#469	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×#117 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3233	C₂	semidirect
2. C₂×#3232	C₂	semidirect
4. C₂×#3166	C₂	semidirect
5. #35201	C₂	semidirect
6. #35139	C₂	semidirect
7. #33315	C₂	semidirect
8. #33311	C₂	semidirect
9. #33253	C₂	semidirect
10. #33240	C₂	semidirect
11. #30282	C₂	semidirect
12. #30282	C₂	semidirect
13. #30282	C₂	semidirect
14. #30282	C₂	semidirect
15. #28550	C₂	semidirect
16. #28549	C₂	semidirect
17. #28548	C₂	semidirect
18. #28547	C₂	semidirect
19. #28546	C₂	semidirect
20. #28545	C₂	semidirect
21. #28544	C₂	semidirect
22. #28543	C₂	semidirect
23. #27947	C₂	semidirect
24. #27946	C₂	semidirect
25. #27945	C₂	semidirect
26. #27944	C₂	semidirect
27. #27943	C₂	semidirect
30. #27940	C₂	semidirect
31. #20472	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3233	2
C₂×#3232	2
C₂×#3183	2
C₂×#3166	2
#35201	2
#35139	2
#33315	2
#33311	2
#33253	2
#33240	2
#30282	2
#28550	2
#28549	2
#28548	2
#28547	2
#28546	2
#28545	2
#28544	2
#28543	2
#27947	2
#27946	2
#27945	2
#27944	2
#27943	2
#27942	2
#27941	2
#27940	2
#20472	2