Subgroups — #6498916

Order 512.

1983 conjugacy classes of subgroups.

The subgroup lattice has 1226 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3242	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#3223	C₂	1	1	yes	maximal, characteristic
3	C₂×#3177	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#3137	C₂	1	1	yes	maximal, characteristic
5	#37392	C₂	1	1	yes	maximal, characteristic, complemented
6	#37390	C₂	1	1	yes	maximal, characteristic
7	#33250	C₂	1	1	yes	maximal, characteristic, complemented
8	#33249	C₂	1	1	yes	maximal, characteristic, complemented
9	#33232	C₂	1	1	yes	maximal, characteristic, complemented
10	#33229	C₂	1	1	yes	maximal, characteristic, complemented
11	#30288	C₂	1	1	yes	maximal, characteristic, complemented
12	#30282	C₂	1	1	yes	maximal, characteristic, complemented
13	#30272	C₂	1	1	yes	maximal, characteristic, complemented
14	#30262	C₂	1	1	yes	maximal, characteristic, complemented
15	#28432	C₂	1	1	yes	maximal, characteristic, complemented
16	#28424	C₂	1	1	yes	maximal, characteristic, complemented
17	#28423	C₂	1	1	yes	maximal, characteristic, complemented
18	#28423	C₂	1	1	yes	maximal, characteristic, complemented
19	#28417	C₂	1	1	yes	maximal, characteristic, complemented
20	#28411	C₂	1	1	yes	maximal, characteristic, complemented
21	#28407	C₂	1	1	yes	maximal, characteristic, complemented
22	#28401	C₂	1	1	yes	maximal, characteristic, complemented
23	#28362	C₂	1	1	yes	maximal, characteristic
24	#28356	C₂	1	1	yes	maximal, characteristic
25	#28355	C₂	1	1	yes	maximal, characteristic, complemented
26	#28355	C₂	1	1	yes	maximal, characteristic, complemented
27	#28350	C₂	1	1	yes	maximal, characteristic
28	#28345	C₂	1	1	yes	maximal, characteristic, complemented
29	#28338	C₂	1	1	yes	maximal, characteristic
30	#28333	C₂	1	1	yes	maximal, characteristic, complemented
31	#20478	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#544	C₂²	1	1	yes	characteristic
33	C₂×#541	C₂²	1	1	yes	characteristic
34	C₂×#541	C₂²	1	1	yes	characteristic
35	C₂×#536	C₂²	1	1	yes	characteristic
36	#3242	—	2	8	no	—
37	#3223	—	2	8	no	—
38	#3177	—	2	8	no	—
39	C₂×#501	C₂²	1	1	yes	characteristic
40	C₂×#499	C₂²	1	1	yes	characteristic
41	C₂×#499	C₂²	1	1	yes	characteristic
42	C₂×#497	C₂²	1	1	yes	characteristic
43	C₂×#494	C₂²	1	1	yes	characteristic
44	C₂×#494	C₂²	1	1	yes	characteristic
45	#3137	—	2	8	no	—
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×#491	C₂²	1	1	yes	characteristic
51	C₂×#491	C₂²	1	1	yes	characteristic
52	C₂×#489	C₂²	1	1	yes	characteristic
53	C₂×#489	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×#487	C₂²	1	1	yes	characteristic
58	C₂×#487	C₂²	1	1	yes	characteristic
59	C₂×#487	C₂²	1	1	yes	characteristic
60	C₂×#484	C₂²	1	1	yes	characteristic
61	C₂×#485	C₂²	1	1	yes	characteristic
62	C₂×#485	C₂²	1	1	yes	characteristic
63	C₂×#483	C₂²	1	1	yes	characteristic
64	C₂×#479	C₂²	1	1	yes	characteristic
65	C₂×#479	C₂²	1	1	yes	characteristic
66	C₂×#477	C₂²	1	1	yes	characteristic
67	C₂×#475	C₂²	1	1	yes	characteristic
68	C₂×#470	C₂²	1	1	yes	characteristic
69	C₂×#470	C₂²	1	1	yes	characteristic
70	C₂×#467	C₂²	1	1	yes	characteristic
71	C₂×#467	C₂²	1	1	yes	characteristic
72	C₂×#464	C₂²	1	1	yes	characteristic
73	C₂×#464	C₂²	1	1	yes	characteristic
74	C₂×#462	C₂²	1	1	yes	characteristic
75	C₂×#462	C₂²	1	1	yes	characteristic
76	C₂×#452	C₂²	1	1	yes	characteristic
77	C₂×#452	C₂²	1	1	yes	characteristic
78	C₂×#451	C₂²	1	1	yes	characteristic
79	C₂×#451	C₂²	1	1	yes	characteristic
80	C₂×#441	C₂²	1	1	yes	characteristic
81	C₂×#441	C₂²	1	1	yes	characteristic
82	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
83	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic
84	C₂×#433	C₂²	1	1	yes	characteristic
85	C₂×#417	C₂²	1	1	yes	characteristic
86	C₂×#419	C₂²	1	1	yes	characteristic
87	C₂×#416	C₂²	1	1	yes	characteristic
88	C₂²×#103	C₂²	1	1	yes	characteristic
89	C₂×#405	C₂²	1	1	yes	characteristic
90	#2868	C₂²	1	1	yes	characteristic
91	#2862	C₂²	1	1	yes	characteristic
92	#2861	C₂²	1	1	yes	characteristic
93	#2859	C₂²	1	1	yes	characteristic
94	#2720	—	2	2	no	—
95	#2720	—	2	2	no	—
96	#2719	—	2	2	no	—
97	#2718	—	2	2	no	—
98	#2718	—	2	2	no	—
99	#2713	—	2	2	no	—
100	#2698	—	2	2	no	—
101	#2689	—	2	2	no	—
102	#2660	C₂²	1	1	yes	characteristic
103	#2658	C₂²	1	1	yes	characteristic
104	#2642	C₂²	1	1	yes	characteristic
105	#2642	C₂²	1	1	yes	characteristic
106	#2568	C₂²	1	1	yes	characteristic
107	#2567	C₂²	1	1	yes	characteristic
108	#2565	C₂²	1	1	yes	characteristic
109	#2565	C₂²	1	1	yes	characteristic
110	#2546	C₂²	1	1	yes	characteristic
111	#2546	C₂²	1	1	yes	characteristic
112	#2545	C₂²	1	1	yes	characteristic
113	#2545	C₂²	1	1	yes	characteristic
114	#2503	C₂²	1	1	yes	characteristic
115	#2502	C₂²	1	1	yes	characteristic
116	#2499	C₂²	1	1	yes	characteristic
117	#2499	C₂²	1	1	yes	characteristic
118	#2434	C₂²	1	1	yes	characteristic
119	#2434	C₂²	1	1	yes	characteristic
120	#2432	C₂²	1	1	yes	characteristic
121	#2432	C₂²	1	1	yes	characteristic
122	#2298	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	#2096	C₂²	1	1	yes	characteristic
130	#2096	C₂²	1	1	yes	characteristic
131	#2096	C₂²	1	1	yes	characteristic
132	#2095	C₂²	1	1	yes	characteristic
133	#2095	C₂²	1	1	yes	characteristic
134	#2095	C₂²	1	1	yes	characteristic
135	#2094	C₂²	1	1	yes	characteristic
136	#2093	C₂²	1	1	yes	characteristic
137	#2092	C₂²	1	1	yes	characteristic
138	#2092	C₂²	1	1	yes	characteristic
139	#2016	C₂²	1	1	yes	characteristic
140	#2016	C₂²	1	1	yes	characteristic
141	#2016	C₂²	1	1	yes	characteristic
142	#2016	C₂²	1	1	yes	characteristic
143	#2016	C₂²	1	1	yes	characteristic
144	#2016	C₂²	1	1	yes	characteristic
145	#2016	C₂²	1	1	yes	characteristic
146	#2016	C₂²	1	1	yes	characteristic
147	#2016	C₂²	1	1	yes	characteristic
148	#2016	C₂²	1	1	yes	characteristic
149	#2016	C₂²	1	1	yes	characteristic
150	#2016	C₂²	1	1	yes	characteristic
151	#2015	C₂²	1	1	yes	characteristic
152	#2015	C₂²	1	1	yes	characteristic
153	#2015	C₂²	1	1	yes	characteristic
154	#2015	C₂²	1	1	yes	characteristic
155	#1973	C₂²	1	1	yes	characteristic
156	#1973	C₂²	1	1	yes	characteristic
157	#1971	C₂²	1	1	yes	characteristic
158	#1971	C₂²	1	1	yes	characteristic
159	#1971	C₂²	1	1	yes	characteristic
160	#1971	C₂²	1	1	yes	characteristic
161	#1971	C₂²	1	1	yes	characteristic
162	#1971	C₂²	1	1	yes	characteristic
163	#1969	C₂²	1	1	yes	characteristic
164	#1969	C₂²	1	1	yes	characteristic
165	#1969	C₂²	1	1	yes	characteristic
166	#1969	C₂²	1	1	yes	characteristic
167	#1969	C₂²	1	1	yes	characteristic
168	#1969	C₂²	1	1	yes	characteristic
169	#1968	C₂²	1	1	yes	characteristic
170	#1968	C₂²	1	1	yes	characteristic
171	#1960	C₂²	1	1	yes	characteristic
172	#1960	C₂²	1	1	yes	characteristic
173	#1960	C₂²	1	1	yes	characteristic
174	#1960	C₂²	1	1	yes	characteristic
175	#1960	C₂²	1	1	yes	characteristic
176	#1960	C₂²	1	1	yes	characteristic
177	#1959	C₂²	1	1	yes	characteristic
178	#1959	C₂²	1	1	yes	characteristic
179	#1958	C₂²	1	1	yes	characteristic
180	#1958	C₂²	1	1	yes	characteristic
181	#1956	C₂²	1	1	yes	characteristic
182	#1956	C₂²	1	1	yes	characteristic
183	#1956	C₂²	1	1	yes	characteristic
184	#1956	C₂²	1	1	yes	characteristic
185	#1956	C₂²	1	1	yes	characteristic
186	#1956	C₂²	1	1	yes	characteristic
187	#1771	C₂²	1	1	yes	characteristic
188	#1771	C₂²	1	1	yes	characteristic
189	#1770	C₂²	1	1	yes	characteristic
190	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
191	#1753	C₂²	1	1	yes	characteristic
192	#1753	C₂²	1	1	yes	characteristic
193	#1752	C₂²	1	1	yes	characteristic
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
195	#1746	C₂²	1	1	yes	characteristic
196	#1744	C₂²	1	1	yes	characteristic
197	#1726	C₂²	1	1	yes	characteristic
198	C₄×#97	C₂²	1	1	yes	characteristic
199	C₂²×#41	C₂³	1	1	yes	characteristic
200	C₂³×Q₈	C₂³	1	1	yes	characteristic
201	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
202	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
203	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
204	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	#544	—	2	4	no	—
216	#544	—	2	4	no	—
217	#541	—	2	4	no	—
218	#541	—	2	4	no	—
219	#541	—	2	4	no	—
220	#541	—	2	4	no	—
221	#536	—	2	4	no	—
222	#536	—	2	4	no	—
223	C₂×C₄⋊Q₈	—	2	1	no	—
224	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₂×#126	—	2	1	no	—
237	C₂×#126	—	2	1	no	—
238	C₂×#126	—	2	1	no	—
239	C₂×#126	—	2	1	no	—
240	C₂×#125	—	2	1	no	—
241	C₂×#125	—	2	1	no	—
242	C₂×#125	—	2	1	no	—
243	C₂×#125	—	2	1	no	—
244	C₂×#125	—	2	1	no	—
245	C₂×#125	C₂³	1	1	yes	characteristic
246	C₂×#125	C₂³	1	1	yes	characteristic
247	C₂×#125	C₂³	1	1	yes	characteristic
248	C₂×#125	C₂³	1	1	yes	characteristic
249	C₂×#124	C₂³	1	1	yes	characteristic
250	C₂×#124	C₂³	1	1	yes	characteristic
251	C₂×#124	C₂³	1	1	yes	characteristic
252	C₂×#124	C₂³	1	1	yes	characteristic
253	C₂×#123	—	2	1	no	—
254	C₂×#123	—	2	1	no	—
255	C₂×C₂²⋊Q₈	—	2	1	no	—
256	C₂×C₂²⋊Q₈	—	2	1	no	—
257	C₂×C₂²⋊Q₈	—	2	1	no	—
258	C₂×C₂²⋊Q₈	—	2	1	no	—
259	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
264	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
265	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
266	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
267	C₂×#117	C₂³	1	1	yes	characteristic
268	C₂×#117	C₂³	1	1	yes	characteristic
269	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	#501	—	2	4	no	—
271	#499	—	2	4	no	—
272	#499	—	2	4	no	—
273	#497	—	2	4	no	—
274	#494	—	2	4	no	—
275	#494	—	2	4	no	—
276	#491	—	2	4	no	—
277	#491	—	2	4	no	—
278	#491	—	2	4	no	—
279	#491	—	2	4	no	—
280	#491	—	2	4	no	—
281	#491	—	2	4	no	—
282	#489	—	2	4	no	—
283	#489	—	2	4	no	—
284	#488	—	2	4	no	—
285	#488	—	2	4	no	—
286	#488	—	2	4	no	—
287	#487	—	2	4	no	—
288	#487	—	2	4	no	—
289	#487	—	2	4	no	—
290	#485	—	2	4	no	—
291	#485	—	2	4	no	—
292	#484	—	2	4	no	—
293	#483	—	2	4	no	—
294	#479	—	2	4	no	—
295	#479	—	2	4	no	—
296	#477	—	2	4	no	—
297	#475	—	2	4	no	—
298	#470	—	2	4	no	—
299	#470	—	2	4	no	—
300	#467	—	2	4	no	—
301	#467	—	2	4	no	—
302	#464	—	2	4	no	—
303	#464	—	2	4	no	—
304	#462	—	2	4	no	—
305	#462	—	2	4	no	—
306	#452	—	2	4	no	—
307	#452	—	2	4	no	—
308	#451	—	2	4	no	—
309	#451	—	2	4	no	—
310	#441	—	2	4	no	—
311	#441	—	2	4	no	—
312	C₄×Q₁₆	—	2	4	no	—
313	C₄×Q₁₆	—	2	4	no	—
314	#433	D₄	1	8	yes	—
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×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
329	#419	—	2	4	no	—
330	#417	—	2	4	no	—
331	#416	—	2	4	no	—
332	C₂×#103	—	2	4	no	—
333	C₂×#103	C₂³	1	1	yes	characteristic
334	C₂×#103	C₂³	1	1	yes	characteristic
335	C₂×#103	C₂³	1	1	yes	characteristic
336	C₂×#103	C₂³	1	1	yes	characteristic
337	C₂×#103	C₂³	1	1	yes	characteristic
338	C₂×#103	C₂³	1	1	yes	characteristic
339	C₂×#103	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×#103	C₂³	1	1	yes	characteristic
363	C₂×#103	C₂³	1	1	yes	characteristic
364	C₂×#103	C₂³	1	1	yes	characteristic
365	C₂×#103	C₂³	1	1	yes	characteristic
366	C₂×#103	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×#102	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
375	#405	D₄	1	8	yes	—
376	C₂×#97	C₂³	1	1	yes	characteristic
377	C₂×#97	C₂³	1	1	yes	characteristic
378	C₂×#97	C₂³	1	1	yes	characteristic
379	C₂×#97	C₂³	1	1	yes	characteristic
380	C₂×#97	C₂³	1	1	yes	characteristic
381	C₂×#97	C₂³	1	1	yes	characteristic
382	C₂×#97	C₂³	1	1	yes	characteristic
383	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
384	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
385	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
386	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
387	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
388	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
389	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
390	#400	—	2	2	no	—
391	#400	—	2	2	no	—
392	#400	—	2	2	no	—
393	#400	—	2	2	no	—
394	#400	—	2	2	no	—
395	#400	—	2	2	no	—
396	#399	—	2	2	no	—
397	#399	—	2	2	no	—
398	#398	—	2	2	no	—
399	#398	—	2	2	no	—
400	#398	—	2	2	no	—
401	#398	—	2	2	no	—
402	#398	—	2	2	no	—
403	#398	—	2	2	no	—
404	#397	—	2	2	no	—
405	#397	—	2	2	no	—
406	#396	—	2	2	no	—
407	#396	—	2	2	no	—
408	#395	—	2	2	no	—
409	#395	—	2	2	no	—
410	#395	—	2	2	no	—
411	#395	—	2	2	no	—
412	#394	—	2	2	no	—
413	#394	—	2	2	no	—
414	#391	—	2	2	no	—
415	#391	—	2	2	no	—
416	#391	C₂³	1	1	yes	characteristic
417	#391	C₂³	1	1	yes	characteristic
418	#391	C₂³	1	1	yes	characteristic
419	#391	C₂³	1	1	yes	characteristic
420	#391	C₂³	1	1	yes	characteristic
421	#391	C₂³	1	1	yes	characteristic
422	#391	C₂³	1	1	yes	characteristic
423	#391	C₂³	1	1	yes	characteristic
424	#391	C₂³	1	1	yes	characteristic
425	#391	C₂³	1	1	yes	characteristic
426	#391	C₂³	1	1	yes	characteristic
427	#391	C₂³	1	1	yes	characteristic
428	#391	C₂³	1	1	yes	characteristic
429	#391	C₂³	1	1	yes	characteristic
430	#390	C₂³	1	1	yes	characteristic
431	#390	C₂³	1	1	yes	characteristic
432	#389	—	2	2	no	—
433	#389	—	2	2	no	—
434	#389	—	2	2	no	—
435	#389	—	2	2	no	—
436	#389	—	2	2	no	—
437	#388	—	2	2	no	—
438	#388	—	2	2	no	—
439	#388	—	2	2	no	—
440	#388	—	2	2	no	—
441	#388	D₄	1	2	yes	—
442	#388	D₄	1	2	yes	—
443	#387	—	2	2	no	—
444	#387	—	2	2	no	—
445	#387	—	2	2	no	—
446	#387	—	2	2	no	—
447	#387	D₄	1	2	yes	—
448	#387	D₄	1	2	yes	—
449	#385	—	2	2	no	—
450	#385	—	2	2	no	—
451	#385	—	2	2	no	—
452	#385	—	2	2	no	—
453	#385	—	2	2	no	—
454	#384	—	2	2	no	—
455	#384	—	2	2	no	—
456	#384	C₂³	1	1	yes	characteristic
457	#384	C₂³	1	1	yes	characteristic
458	#384	C₂³	1	1	yes	characteristic
459	#384	C₂³	1	1	yes	characteristic
460	#382	—	2	2	no	—
461	#382	C₂³	1	1	yes	characteristic
462	#382	C₂³	1	1	yes	characteristic
463	#382	C₂³	1	1	yes	characteristic
464	#382	C₂³	1	1	yes	characteristic
465	#381	—	2	2	no	—
466	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	#376	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	C₂×#41	—	2	2	no	—
481	C₂×#41	—	2	2	no	—
482	C₂×#41	—	4	1	no	—
483	C₂×#41	—	4	1	no	—
484	C₂×#41	—	4	1	no	—
485	C₂×#41	—	4	1	no	—
486	C₂²×Q₈	—	2	1	no	—
487	C₂²×Q₈	—	2	1	no	—
488	C₂²×Q₈	—	2	1	no	—
489	C₂²×Q₈	—	2	2	no	—
490	C₂²×Q₈	—	2	2	no	—
491	C₂²×Q₈	—	4	1	no	—
492	C₂²×Q₈	—	4	1	no	—
493	C₂²×Q₈	—	4	1	no	—
494	C₂²×Q₈	—	4	1	no	—
495	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
496	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
497	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
498	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
499	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
500	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
501	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
502	C₂²×D₄	—	2	1	no	—
503	C₂²×D₄	C₂⁴	1	1	yes	characteristic
504	C₂³×C₄	—	2	1	no	—
505	C₂³×C₄	—	2	1	no	—
506	C₂³×C₄	—	2	1	no	—
507	C₂³×C₄	C₂⁴	1	1	yes	characteristic
508	C₂×Q₁₆	—	2	2	no	—
509	C₂×Q₁₆	—	2	2	no	—
510	C₂×Q₁₆	—	2	2	no	—
511	C₂×Q₁₆	—	2	2	no	—
512	C₂×Q₁₆	—	2	2	no	—
513	C₂×Q₁₆	—	2	2	no	—
514	C₂×Q₁₆	—	2	2	no	—
515	C₂×Q₁₆	—	2	2	no	—
516	C₂×Q₁₆	—	2	2	no	—
517	C₂×Q₁₆	—	2	2	no	—
518	C₂×Q₁₆	—	4	1	no	—
519	C₂×Q₁₆	—	4	1	no	—
520	C₂×Q₁₆	—	4	1	no	—
521	C₂×Q₁₆	—	4	1	no	—
522	C₂×Q₁₆	—	4	1	no	—
523	C₂×Q₁₆	—	4	1	no	—
524	C₂×Q₁₆	—	4	1	no	—
525	C₂×Q₁₆	—	4	1	no	—
526	C₂×Q₁₆	—	4	1	no	—
527	C₂×Q₁₆	—	4	1	no	—
528	C₂×Q₁₆	—	4	1	no	—
529	C₂×Q₁₆	—	4	1	no	—
530	C₂×Q₁₆	—	4	1	no	—
531	C₂×Q₁₆	—	4	1	no	—
532	C₂×Q₁₆	—	4	1	no	—
533	C₂×Q₁₆	—	4	1	no	—
534	C₂×Q₁₆	—	4	1	no	—
535	C₂×Q₁₆	—	4	1	no	—
536	C₂×Q₁₆	—	4	1	no	—
537	C₂×Q₁₆	—	4	1	no	—
538	C₂×SD₁₆	—	2	2	no	—
539	C₂×SD₁₆	—	2	2	no	—
540	C₂×SD₁₆	—	4	1	no	—
541	C₂×SD₁₆	—	4	1	no	—
542	C₂×SD₁₆	—	4	1	no	—
543	C₂×SD₁₆	—	4	1	no	—
544	C₂×M₁₆	—	4	1	no	—
545	C₂×M₁₆	—	4	1	no	—
546	C₂×M₁₆	C₂×D₄	1	4	yes	—
547	C₂²×C₈	—	4	1	no	—
548	C₂²×C₈	—	4	1	no	—
549	C₂²×C₈	C₂×D₄	1	4	yes	—
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
551	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₂²×C₈	C₂⁴	1	1	yes	characteristic
554	C₂²×C₈	C₂⁴	1	1	yes	characteristic
555	C₂²×C₈	C₂⁴	1	1	yes	characteristic
556	C₂²×C₈	C₂⁴	1	1	yes	characteristic
557	C₂²×C₈	C₂⁴	1	1	yes	characteristic
558	C₄⋊Q₈	—	2	2	no	—
559	C₄⋊Q₈	—	2	2	no	—
560	C₄⋊Q₈	—	2	2	no	—
561	C₄⋊Q₈	—	2	2	no	—
562	C₄⋊Q₈	—	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	—	2	2	no	—
568	C₄⋊Q₈	—	2	2	no	—
569	C₄⋊Q₈	—	2	2	no	—
570	C₄⋊Q₈	—	4	1	no	—
571	C₄⋊Q₈	—	4	1	no	—
572	C₄⋊Q₈	—	4	1	no	—
573	C₄⋊Q₈	—	4	1	no	—
574	C₄⋊Q₈	—	4	1	no	—
575	C₄⋊Q₈	—	4	1	no	—
576	C₄⋊Q₈	—	4	1	no	—
577	C₄⋊Q₈	—	4	1	no	—
578	C₄⋊Q₈	—	4	1	no	—
579	C₄⋊Q₈	—	4	1	no	—
580	C₄⋊Q₈	—	4	1	no	—
581	C₄⋊Q₈	—	4	1	no	—
582	C₄⋊Q₈	—	4	4	no	—
583	#126	—	4	4	no	—
584	#126	—	4	4	no	—
585	#126	—	4	4	no	—
586	#126	—	4	4	no	—
587	#125	—	2	2	no	—
588	#125	—	2	2	no	—
589	#125	—	2	2	no	—
590	#125	—	2	2	no	—
591	#125	—	2	2	no	—
592	#125	—	2	2	no	—
593	#125	—	2	2	no	—
594	#125	—	2	2	no	—
595	#125	—	4	4	no	—
596	#125	—	4	4	no	—
597	#125	—	4	4	no	—
598	#125	—	4	4	no	—
599	#125	—	4	4	no	—
600	#124	—	2	2	no	—
601	#124	—	2	2	no	—
602	#124	—	2	2	no	—
603	#124	—	2	2	no	—
604	#124	—	4	1	no	—
605	#124	—	4	1	no	—
606	#124	—	4	1	no	—
607	#124	—	4	1	no	—
608	#123	—	4	4	no	—
609	#123	—	4	4	no	—
610	C₂²⋊Q₈	—	2	2	no	—
611	C₂²⋊Q₈	—	2	2	no	—
612	C₂²⋊Q₈	—	2	2	no	—
613	C₂²⋊Q₈	—	2	2	no	—
614	C₂²⋊Q₈	—	2	2	no	—
615	C₂²⋊Q₈	—	2	2	no	—
616	C₂²⋊Q₈	—	2	2	no	—
617	C₂²⋊Q₈	—	2	2	no	—
618	C₂²⋊Q₈	—	4	4	no	—
619	C₂²⋊Q₈	—	4	4	no	—
620	C₂²⋊Q₈	—	4	4	no	—
621	C₂²⋊Q₈	—	4	4	no	—
622	C₄×Q₈	—	2	2	no	—
623	C₄×Q₈	—	2	2	no	—
624	C₄×Q₈	—	2	2	no	—
625	C₄×Q₈	—	2	2	no	—
626	C₄×Q₈	—	2	2	no	—
627	C₄×Q₈	—	2	2	no	—
628	C₄×Q₈	—	2	2	no	—
629	C₄×Q₈	—	2	2	no	—
630	#117	—	2	2	no	—
631	#117	—	2	2	no	—
632	#117	C₂×D₄	1	4	yes	—
633	#117	C₂×D₄	1	4	yes	—
634	C₂×C₄⋊C₄	—	2	2	no	—
635	C₂×C₄⋊C₄	—	2	2	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	—	2	1	no	—
639	C₂×C₄⋊C₄	—	2	1	no	—
640	C₂×C₄⋊C₄	—	2	1	no	—
641	C₂×C₄⋊C₄	—	2	1	no	—
642	C₂×C₄⋊C₄	—	2	1	no	—
643	C₂×C₄⋊C₄	—	2	1	no	—
644	C₂×C₄⋊C₄	—	2	1	no	—
645	C₂×C₄⋊C₄	—	2	1	no	—
646	C₂×C₄⋊C₄	—	2	1	no	—
647	C₂×C₄⋊C₄	—	2	1	no	—
648	C₂×C₄⋊C₄	—	2	1	no	—
649	C₂×C₄⋊C₄	—	2	1	no	—
650	C₂×C₄⋊C₄	—	2	1	no	—
651	C₂×C₄⋊C₄	—	2	1	no	—
652	C₂×C₄⋊C₄	—	2	1	no	—
653	C₂×C₄⋊C₄	—	2	1	no	—
654	C₂×C₄⋊C₄	—	2	1	no	—
655	C₂×C₄⋊C₄	—	2	1	no	—
656	C₂×C₄⋊C₄	—	2	1	no	—
657	C₂×C₄⋊C₄	—	2	1	no	—
658	C₂×C₄⋊C₄	—	2	1	no	—
659	C₂×C₄⋊C₄	—	2	1	no	—
660	C₂×C₄⋊C₄	—	2	1	no	—
661	C₂×C₄⋊C₄	—	2	1	no	—
662	C₂×C₄⋊C₄	—	2	1	no	—
663	C₂×C₄⋊C₄	—	2	2	no	—
664	C₂×C₄⋊C₄	—	2	2	no	—
665	C₂×C₄⋊C₄	—	2	2	no	—
666	C₂×C₄⋊C₄	—	2	2	no	—
667	C₂×C₄⋊C₄	—	2	2	no	—
668	C₂×C₄⋊C₄	—	2	2	no	—
669	C₂×C₄⋊C₄	—	2	2	no	—
670	C₂×C₄⋊C₄	—	2	2	no	—
671	C₂×C₄⋊C₄	—	2	2	no	—
672	C₂×C₄⋊C₄	—	2	2	no	—
673	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
674	C₂×C₄⋊C₄	C₂×D₄	1	2	yes	—
675	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	—	2	1	no	—
686	C₂×C₂²⋊C₄	—	2	1	no	—
687	C₂×C₂²⋊C₄	—	2	1	no	—
688	C₂×C₂²⋊C₄	—	2	1	no	—
689	C₂×C₂²⋊C₄	—	2	1	no	—
690	C₂×C₂²⋊C₄	—	2	1	no	—
691	C₂×C₂²⋊C₄	—	2	1	no	—
692	C₂×C₂²⋊C₄	—	2	1	no	—
693	C₂×C₂²⋊C₄	—	2	1	no	—
694	C₂×C₂²⋊C₄	—	2	2	no	—
695	C₂×C₂²⋊C₄	—	2	2	no	—
696	C₂×C₂²⋊C₄	—	2	2	no	—
697	C₂×C₂²⋊C₄	—	2	2	no	—
698	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂×D₄	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
702	C₂×C₄²	—	2	1	no	—
703	C₂×C₄²	—	2	1	no	—
704	C₂×C₄²	—	2	1	no	—
705	C₂×C₄²	—	2	1	no	—
706	C₂×C₄²	—	2	1	no	—
707	C₂×C₄²	C₂×D₄	1	2	yes	—
708	C₂×C₄²	C₂×D₄	1	2	yes	—
709	C₂×C₄²	C₂⁴	1	1	yes	characteristic
710	C₂×C₄²	C₂⁴	1	1	yes	characteristic
711	C₂×C₄²	C₂⁴	1	1	yes	characteristic
712	C₂×C₄²	C₂⁴	1	1	yes	characteristic
713	C₂×C₄²	C₂⁴	1	1	yes	characteristic
714	C₂×C₄²	C₂⁴	1	1	yes	characteristic
715	#107	—	2	2	no	—
716	#107	—	2	2	no	—
717	#107	—	2	2	no	—
718	#107	—	2	2	no	—
719	#107	—	2	2	no	—
720	#107	—	2	2	no	—
721	#106	—	2	2	no	—
722	#106	—	2	2	no	—
723	#106	—	2	2	no	—
724	#106	—	2	2	no	—
725	#106	—	2	2	no	—
726	#106	—	2	2	no	—
727	C₄⋊C₈	C₂×D₄	1	4	yes	—
728	C₄⋊C₈	C₂×D₄	1	4	yes	—
729	#103	—	2	2	no	—
730	#103	—	2	2	no	—
731	#103	—	2	2	no	—
732	#103	—	2	2	no	—
733	#103	—	2	2	no	—
734	#103	—	2	2	no	—
735	#103	—	2	2	no	—
736	#103	—	2	2	no	—
737	#103	—	2	2	no	—
738	#103	—	2	2	no	—
739	#103	—	2	2	no	—
740	#103	—	2	2	no	—
741	#103	—	2	2	no	—
742	#103	—	2	2	no	—
743	#103	—	2	2	no	—
744	#103	—	2	2	no	—
745	#103	—	2	2	no	—
746	#103	—	2	2	no	—
747	#103	—	2	2	no	—
748	#103	—	2	2	no	—
749	#103	—	2	2	no	—
750	#103	—	2	2	no	—
751	#103	—	2	2	no	—
752	#103	—	2	2	no	—
753	#103	—	2	2	no	—
754	#103	—	2	2	no	—
755	#103	—	2	2	no	—
756	#103	—	2	2	no	—
757	#103	—	2	2	no	—
758	#103	—	2	2	no	—
759	#103	—	2	2	no	—
760	#103	—	2	2	no	—
761	#103	—	2	2	no	—
762	#103	—	2	2	no	—
763	#102	—	2	2	no	—
764	#102	—	2	2	no	—
765	#102	—	2	2	no	—
766	#102	—	2	2	no	—
767	#102	—	2	2	no	—
768	#102	—	2	2	no	—
769	C₂²⋊C₈	C₂×D₄	1	4	yes	—
770	C₂²⋊C₈	C₂×D₄	1	4	yes	—
771	#97	—	4	1	no	—
772	#97	—	4	1	no	—
773	#97	—	4	1	no	—
774	#97	—	4	1	no	—
775	#97	C₂×D₄	1	4	yes	—
776	#97	C₂×D₄	1	4	yes	—
777	#97	C₂×D₄	1	4	yes	—
778	C₄×C₈	—	4	1	no	—
779	C₄×C₈	—	4	1	no	—
780	C₄×C₈	—	4	1	no	—
781	C₄×C₈	—	4	1	no	—
782	C₄×C₈	C₂×D₄	1	4	yes	—
783	C₄×C₈	C₂×D₄	1	4	yes	—
784	C₄×C₈	C₂×D₄	1	4	yes	—
785	#95	—	2	2	no	—
786	#95	—	2	2	no	—
787	#95	—	2	2	no	—
788	#95	—	2	2	no	—
789	#95	—	2	2	no	—
790	#95	—	2	2	no	—
791	#95	—	2	2	no	—
792	#95	—	2	2	no	—
793	#95	—	2	2	no	—
794	#95	—	2	2	no	—
795	#95	—	2	2	no	—
796	#95	—	2	2	no	—
797	#95	—	2	2	no	—
798	#95	—	2	2	no	—
799	#95	—	2	2	no	—
800	#95	—	2	2	no	—
801	#95	—	2	2	no	—
802	#95	—	2	2	no	—
803	#95	C₂×D₄	1	2	yes	—
804	#95	C₂×D₄	1	2	yes	—
805	#95	C₂×D₄	1	2	yes	—
806	#95	C₂×D₄	1	2	yes	—
807	#95	C₂×D₄	1	2	yes	—
808	#95	C₂×D₄	1	2	yes	—
809	C₂⁴	—	2	1	no	—
810	C₂⁴	C₂²×D₄	1	1	yes	characteristic
811	#41	—	4	4	no	—
812	#41	—	4	4	no	—
813	#41	—	8	2	no	—
814	#41	—	8	2	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	—	2	1	no	—
817	C₂×Q₈	—	2	1	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	—	2	1	no	—
820	C₂×Q₈	—	2	1	no	—
821	C₂×Q₈	—	2	1	no	—
822	C₂×Q₈	—	2	1	no	—
823	C₂×Q₈	—	2	1	no	—
824	C₂×Q₈	—	2	1	no	—
825	C₂×Q₈	—	2	1	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	1	no	—
829	C₂×Q₈	—	2	1	no	—
830	C₂×Q₈	—	2	1	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	1	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	2	1	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	2	1	no	—
849	C₂×Q₈	—	2	1	no	—
850	C₂×Q₈	—	2	1	no	—
851	C₂×Q₈	—	2	1	no	—
852	C₂×Q₈	—	2	1	no	—
853	C₂×Q₈	—	2	1	no	—
854	C₂×Q₈	—	2	1	no	—
855	C₂×Q₈	—	2	1	no	—
856	C₂×Q₈	—	2	1	no	—
857	C₂×Q₈	—	4	4	no	—
858	C₂×Q₈	—	4	4	no	—
859	C₂×Q₈	—	4	2	no	—
860	C₂×Q₈	—	4	2	no	—
861	C₂×Q₈	—	4	2	no	—
862	C₂×Q₈	—	8	1	no	—
863	C₂×Q₈	—	8	1	no	—
864	C₂×Q₈	—	8	2	no	—
865	C₂×Q₈	—	8	2	no	—
866	C₂×Q₈	—	8	2	no	—
867	C₂×Q₈	—	8	2	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	8	1	no	—
876	C₂×D₄	—	8	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	2	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	8	1	no	—
900	C₂²×C₄	—	8	1	no	—
901	C₂²×C₄	—	8	1	no	—
902	C₂²×C₄	—	8	1	no	—
903	C₂²×C₄	—	8	2	no	—
904	C₂²×C₄	C₂²×D₄	1	2	yes	—
905	C₂²×C₄	C₂²×D₄	1	2	yes	—
906	C₂²×C₄	C₂²×D₄	1	2	yes	—
907	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
909	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
910	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
911	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
912	C₂²×C₄	C₂²×D₄	1	2	yes	—
913	C₂²×C₄	C₂²×D₄	1	2	yes	—
914	C₂²×C₄	C₂²×D₄	1	2	yes	—
915	C₂²×C₄	C₂⁵	1	1	yes	characteristic
916	Q₁₆	—	4	4	no	—
917	Q₁₆	—	4	4	no	—
918	Q₁₆	—	4	4	no	—
919	Q₁₆	—	4	4	no	—
920	Q₁₆	—	8	2	no	—
921	Q₁₆	—	8	2	no	—
922	Q₁₆	—	8	2	no	—
923	Q₁₆	—	8	2	no	—
924	Q₁₆	—	8	2	no	—
925	Q₁₆	—	8	2	no	—
926	SD₁₆	—	8	2	no	—
927	SD₁₆	—	8	2	no	—
928	M₁₆	—	4	4	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	4	4	no	—
946	C₂×C₈	C₂²×D₄	1	2	yes	—
947	C₂×C₈	C₂²×D₄	1	2	yes	—
948	C₂×C₈	C₂²×D₄	1	2	yes	—
949	C₂×C₈	C₂²×D₄	1	2	yes	—
950	C₂×C₈	C₂²×D₄	1	2	yes	—
951	C₂×C₈	C₂²×D₄	1	2	yes	—
952	C₂×C₈	C₂²×D₄	1	2	yes	—
953	C₂×C₈	C₂²×D₄	1	2	yes	—
954	C₄⋊C₄	—	2	4	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	4	2	no	—
972	C₄⋊C₄	—	4	2	no	—
973	C₄⋊C₄	—	4	2	no	—
974	C₄⋊C₄	—	4	2	no	—
975	C₄⋊C₄	—	4	2	no	—
976	C₄⋊C₄	—	4	2	no	—
977	C₄⋊C₄	—	4	2	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	—	4	2	no	—
981	C₄⋊C₄	—	4	2	no	—
982	C₄⋊C₄	—	4	2	no	—
983	C₄⋊C₄	—	4	2	no	—
984	C₄⋊C₄	—	4	2	no	—
985	C₄⋊C₄	—	4	2	no	—
986	C₄⋊C₄	—	4	2	no	—
987	C₄⋊C₄	—	4	2	no	—
988	C₄⋊C₄	—	4	2	no	—
989	C₄⋊C₄	—	4	2	no	—
990	C₄⋊C₄	—	4	2	no	—
991	C₄⋊C₄	—	4	2	no	—
992	C₄⋊C₄	—	4	2	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	4	no	—
1000	C₄⋊C₄	—	8	2	no	—
1001	C₄⋊C₄	—	8	2	no	—
1002	C₄⋊C₄	—	8	2	no	—
1003	C₄⋊C₄	—	8	2	no	—
1004	C₄⋊C₄	—	8	2	no	—
1005	C₄⋊C₄	—	8	2	no	—
1006	C₄⋊C₄	—	8	2	no	—
1007	C₄⋊C₄	—	8	2	no	—
1008	C₄⋊C₄	—	8	2	no	—
1009	C₄⋊C₄	#127	1	4	yes	—
1010	C₄⋊C₄	#127	1	4	yes	—
1011	C₂²⋊C₄	—	2	4	no	—
1012	C₂²⋊C₄	—	4	2	no	—
1013	C₂²⋊C₄	—	4	4	no	—
1014	C₂²⋊C₄	—	4	2	no	—
1015	C₂²⋊C₄	—	4	2	no	—
1016	C₂²⋊C₄	—	4	2	no	—
1017	C₂²⋊C₄	—	4	2	no	—
1018	C₂²⋊C₄	—	4	2	no	—
1019	C₂²⋊C₄	—	4	2	no	—
1020	C₂²⋊C₄	—	4	2	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	4	no	—
1024	C₂²⋊C₄	—	8	2	no	—
1025	C₂²⋊C₄	—	8	2	no	—
1026	C₂²⋊C₄	#127	1	4	yes	—
1027	C₂²⋊C₄	#127	1	4	yes	—
1028	C₄²	—	2	4	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	4	2	no	—
1038	C₄²	—	4	2	no	—
1039	C₄²	—	4	2	no	—
1040	C₄²	—	4	2	no	—
1041	C₄²	—	4	2	no	—
1042	C₄²	—	4	2	no	—
1043	C₄²	C₂²×D₄	1	2	yes	—
1044	C₄²	C₂²×D₄	1	2	yes	—
1045	C₄²	C₂²×D₄	1	2	yes	—
1046	C₄²	C₂²×D₄	1	2	yes	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	4	2	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	—	4	1	no	—
1054	C₂³	—	4	1	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	C₂×#127	1	2	yes	—
1057	C₂³	C₂³×D₄	1	1	yes	characteristic
1058	Q₈	—	4	1	no	—
1059	Q₈	—	4	1	no	—
1060	Q₈	—	4	1	no	—
1061	Q₈	—	4	1	no	—
1062	Q₈	—	4	1	no	—
1063	Q₈	—	4	1	no	—
1064	Q₈	—	4	1	no	—
1065	Q₈	—	4	1	no	—
1066	Q₈	—	4	1	no	—
1067	Q₈	—	4	1	no	—
1068	Q₈	—	4	1	no	—
1069	Q₈	—	4	1	no	—
1070	Q₈	—	4	1	no	—
1071	Q₈	—	4	1	no	—
1072	Q₈	—	4	1	no	—
1073	Q₈	—	4	1	no	—
1074	Q₈	—	4	1	no	—
1075	Q₈	—	4	1	no	—
1076	Q₈	—	4	1	no	—
1077	Q₈	—	4	1	no	—
1078	Q₈	—	4	1	no	—
1079	Q₈	—	4	1	no	—
1080	Q₈	—	4	1	no	—
1081	Q₈	—	4	1	no	—
1082	Q₈	—	4	1	no	—
1083	Q₈	—	4	1	no	—
1084	Q₈	—	4	1	no	—
1085	Q₈	—	4	1	no	—
1086	Q₈	—	8	4	no	—
1087	Q₈	—	16	2	no	—
1088	Q₈	—	16	2	no	—
1089	D₄	—	4	1	no	—
1090	D₄	—	4	1	no	—
1091	D₄	—	4	1	no	—
1092	D₄	—	4	1	no	—
1093	D₄	—	8	4	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	1	no	—
1126	C₂×C₄	—	4	1	no	—
1127	C₂×C₄	—	4	1	no	—
1128	C₂×C₄	—	4	1	no	—
1129	C₂×C₄	—	4	1	no	—
1130	C₂×C₄	—	4	1	no	—
1131	C₂×C₄	—	4	1	no	—
1132	C₂×C₄	—	4	1	no	—
1133	C₂×C₄	—	4	1	no	—
1134	C₂×C₄	—	4	1	no	—
1135	C₂×C₄	—	4	1	no	—
1136	C₂×C₄	—	4	1	no	—
1137	C₂×C₄	—	4	1	no	—
1138	C₂×C₄	—	4	1	no	—
1139	C₂×C₄	—	4	1	no	—
1140	C₂×C₄	—	4	1	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	1	no	—
1147	C₂×C₄	—	4	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	2	no	—
1150	C₂×C₄	—	4	2	no	—
1151	C₂×C₄	—	4	2	no	—
1152	C₂×C₄	—	8	4	no	—
1153	C₂×C₄	—	8	4	no	—
1154	C₂×C₄	—	16	2	no	—
1155	C₂×C₄	C₂×#127	1	2	yes	—
1156	C₂×C₄	C₂×#127	1	2	yes	—
1157	C₂×C₄	C₂×#127	1	2	yes	—
1158	C₂×C₄	C₂×#127	1	2	yes	—
1159	C₂×C₄	C₂×#127	1	2	yes	—
1160	C₂×C₄	#578	1	4	yes	—
1161	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1162	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1163	C₂×C₄	#585	1	1	yes	characteristic
1164	C₂×C₄	#585	1	1	yes	characteristic
1165	C₂×C₄	#585	1	1	yes	characteristic
1166	C₂×C₄	#585	1	1	yes	characteristic
1167	C₈	—	2	2	no	—
1168	C₈	—	2	2	no	—
1169	C₈	—	2	2	no	—
1170	C₈	—	2	2	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	2	2	no	—
1173	C₈	—	2	2	no	—
1174	C₈	—	2	2	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	8	1	no	—
1181	C₂²	—	8	2	no	—
1182	C₂²	—	8	2	no	—
1183	C₂²	—	8	1	no	—
1184	C₂²	—	8	1	no	—
1185	C₂²	C₂²×#127	1	1	yes	characteristic
1186	C₂²	#3500	1	1	yes	characteristic
1187	C₂²	#3500	1	1	yes	characteristic
1188	C₂²	C₂×#578	1	2	yes	—
1189	C₂²	#3586	1	2	yes	—
1190	C₄	—	2	2	no	—
1191	C₄	—	2	4	no	—
1192	C₄	—	2	2	no	—
1193	C₄	—	2	2	no	—
1194	C₄	—	2	2	no	—
1195	C₄	—	2	2	no	—
1196	C₄	—	4	2	no	—
1197	C₄	—	4	2	no	—
1198	C₄	—	4	2	no	—
1199	C₄	—	8	1	no	—
1200	C₄	—	8	1	no	—
1201	C₄	—	8	1	no	—
1202	C₄	—	8	1	no	—
1203	C₄	—	8	1	no	—
1204	C₄	—	8	1	no	—
1205	C₄	—	8	1	no	—
1206	C₄	—	8	1	no	—
1207	C₄	—	8	1	no	—
1208	C₄	—	8	1	no	—
1209	C₄	—	8	1	no	—
1210	C₄	—	8	1	no	—
1211	C₄	—	8	1	no	—
1212	C₄	—	8	1	no	—
1213	C₄	—	8	1	no	—
1214	C₄	#3449	1	1	yes	characteristic
1215	C₄	#3449	1	1	yes	characteristic
1216	C₄	#3500	1	1	yes	characteristic
1217	C₄	#3500	1	1	yes	characteristic
1218	C₂	—	4	2	no	—
1219	C₂	—	16	1	no	—
1220	C₂	#35329	1	1	yes	characteristic
1221	C₂	#60648	1	1	yes	characteristic
1222	C₂	#60651	1	1	yes	characteristic
1223	C₂	#62599	1	2	yes	—
1224	C₂	#62611	1	2	yes	—

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂²×#41	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ #2298 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3242	C₂	semidirect
3. C₂×#3177	C₂	semidirect
5. #37392	C₂	semidirect
7. #33250	C₂	semidirect
8. #33249	C₂	semidirect
9. #33232	C₂	semidirect
10. #33229	C₂	semidirect
11. #30288	C₂	semidirect
12. #30282	C₂	semidirect
13. #30272	C₂	semidirect
14. #30262	C₂	semidirect
15. #28432	C₂	semidirect
16. #28424	C₂	semidirect
17. #28423	C₂	semidirect
18. #28423	C₂	semidirect
19. #28417	C₂	semidirect
20. #28411	C₂	semidirect
21. #28407	C₂	semidirect
22. #28401	C₂	semidirect
25. #28355	C₂	semidirect
26. #28355	C₂	semidirect
28. #28345	C₂	semidirect
30. #28333	C₂	semidirect
31. #20478	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3242	2
C₂×#3223	2
C₂×#3177	2
C₂×#3137	2
#37392	2
#37390	2
#33250	2
#33249	2
#33232	2
#33229	2
#30288	2
#30282	2
#30272	2
#30262	2
#28432	2
#28424	2
#28423	2
#28417	2
#28411	2
#28407	2
#28401	2
#28362	2
#28356	2
#28355	2
#28350	2
#28345	2
#28338	2
#28333	2
#20478	2