Subgroups — #6403479

Order 512.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1349 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2995	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2994	C₂	1	1	yes	maximal, characteristic, complemented
3	#52147	C₂	1	1	yes	maximal, characteristic
4	#23154	C₂	1	1	yes	maximal, characteristic, complemented
5	#22994	C₂	1	1	yes	maximal, characteristic, complemented
6	#22987	C₂	1	1	yes	maximal, characteristic, complemented
7	#22960	C₂	1	1	yes	maximal, characteristic, complemented
8	#22953	C₂	1	1	yes	maximal, characteristic, complemented
9	#22909	C₂	1	1	yes	maximal, characteristic, complemented
10	#22906	C₂	1	1	yes	maximal, characteristic, complemented
11	#22903	C₂	1	1	yes	maximal, characteristic, complemented
12	#22903	C₂	1	1	yes	maximal, characteristic, complemented
13	#22649	C₂	1	1	yes	maximal, characteristic, complemented
14	#22647	C₂	1	1	yes	maximal, characteristic, complemented
15	#22604	C₂	1	1	yes	maximal, characteristic, complemented
16	#22602	C₂	1	1	yes	maximal, characteristic, complemented
17	#22474	C₂	1	1	yes	maximal, characteristic, complemented
18	#22472	C₂	1	1	yes	maximal, characteristic, complemented
19	#22109	C₂	1	1	yes	maximal, characteristic, complemented
20	#22106	C₂	1	1	yes	maximal, characteristic, complemented
21	#22074	C₂	1	1	yes	maximal, characteristic, complemented
22	#22074	C₂	1	1	yes	maximal, characteristic, complemented
23	#22069	C₂	1	1	yes	maximal, characteristic, complemented
24	#22066	C₂	1	1	yes	maximal, characteristic, complemented
25	#21717	C₂	1	1	yes	maximal, characteristic, complemented
26	#21495	C₂	1	1	yes	maximal, characteristic, complemented
27	#21488	C₂	1	1	yes	maximal, characteristic, complemented
28	#21273	C₂	1	1	yes	maximal, characteristic, complemented
29	#21147	C₂	1	1	yes	maximal, characteristic, complemented
30	#21145	C₂	1	1	yes	maximal, characteristic, complemented
31	#20487	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#529	C₂²	1	1	yes	characteristic
33	C₂×#529	C₂²	1	1	yes	characteristic
34	#2995	—	2	8	no	—
35	#2994	—	2	8	no	—
36	C₂×#446	C₂²	1	1	yes	characteristic
37	C₂×#446	C₂²	1	1	yes	characteristic
38	C₂×#446	C₂²	1	1	yes	characteristic
39	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
40	C₂×#436	C₂²	1	1	yes	characteristic
41	C₂×#436	C₂²	1	1	yes	characteristic
42	C₂×#436	C₂²	1	1	yes	characteristic
43	C₂×#436	C₂²	1	1	yes	characteristic
44	C₂×#436	C₂²	1	1	yes	characteristic
45	C₂×#435	C₂²	1	1	yes	characteristic
46	C₂×#435	C₂²	1	1	yes	characteristic
47	C₂×#435	C₂²	1	1	yes	characteristic
48	C₂×#435	C₂²	1	1	yes	characteristic
49	C₂×#435	C₂²	1	1	yes	characteristic
50	C₂×#435	C₂²	1	1	yes	characteristic
51	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
54	C₂×#433	C₂²	1	1	yes	characteristic
55	C₂×#433	C₂²	1	1	yes	characteristic
56	C₂×#433	C₂²	1	1	yes	characteristic
57	C₂×#433	C₂²	1	1	yes	characteristic
58	C₂×#432	C₂²	1	1	yes	characteristic
59	C₂×#431	C₂²	1	1	yes	characteristic
60	C₂×#424	C₂²	1	1	yes	characteristic
61	C₂×#424	C₂²	1	1	yes	characteristic
62	C₂×#424	C₂²	1	1	yes	characteristic
63	C₂×#424	C₂²	1	1	yes	characteristic
64	C₂×#424	C₂²	1	1	yes	characteristic
65	C₂×#423	C₂²	1	1	yes	characteristic
66	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₂×#405	C₂²	1	1	yes	characteristic
69	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
70	#2723	C₄	1	1	yes	characteristic
71	#2722	C₄	1	1	yes	characteristic
72	#2721	C₄	1	1	yes	characteristic
73	#2720	C₄	1	1	yes	characteristic
74	#2719	C₄	1	1	yes	characteristic
75	#2718	C₄	1	1	yes	characteristic
76	#2717	C₄	1	1	yes	characteristic
77	#2715	C₄	1	1	yes	characteristic
78	#2708	C₄	1	1	yes	characteristic
79	#2706	C₄	1	1	yes	characteristic
80	#2698	C₄	1	1	yes	characteristic
81	#2695	C₄	1	1	yes	characteristic
82	#2686	C₄	1	1	yes	characteristic
83	#2680	C₄	1	1	yes	characteristic
84	#2672	C₄	1	1	yes	characteristic
85	#2671	C₄	1	1	yes	characteristic
86	#2399	C₂²	1	1	yes	characteristic
87	#2396	C₂²	1	1	yes	characteristic
88	#2395	C₂²	1	1	yes	characteristic
89	#2395	C₂²	1	1	yes	characteristic
90	#2395	C₂²	1	1	yes	characteristic
91	#2392	C₂²	1	1	yes	characteristic
92	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
93	C₄×#123	C₂²	1	1	yes	characteristic
94	C₄×#121	C₂²	1	1	yes	characteristic
95	#2296	C₂²	1	1	yes	characteristic
96	#2290	C₂²	1	1	yes	characteristic
97	#2290	C₂²	1	1	yes	characteristic
98	#2285	C₂²	1	1	yes	characteristic
99	#1985	C₂²	1	1	yes	characteristic
100	#1984	C₂²	1	1	yes	characteristic
101	#1984	C₂²	1	1	yes	characteristic
102	#1984	C₂²	1	1	yes	characteristic
103	#1955	C₂²	1	1	yes	characteristic
104	#1954	C₂²	1	1	yes	characteristic
105	#1940	C₂²	1	1	yes	characteristic
106	#1940	C₂²	1	1	yes	characteristic
107	#1940	C₂²	1	1	yes	characteristic
108	#1940	C₂²	1	1	yes	characteristic
109	#1940	C₂²	1	1	yes	characteristic
110	#1940	C₂²	1	1	yes	characteristic
111	#1940	C₂²	1	1	yes	characteristic
112	#1940	C₂²	1	1	yes	characteristic
113	#1940	C₂²	1	1	yes	characteristic
114	#1940	C₂²	1	1	yes	characteristic
115	#1940	C₂²	1	1	yes	characteristic
116	#1940	C₂²	1	1	yes	characteristic
117	#1939	C₂²	1	1	yes	characteristic
118	#1939	C₂²	1	1	yes	characteristic
119	#1939	C₂²	1	1	yes	characteristic
120	#1939	C₂²	1	1	yes	characteristic
121	#1939	C₂²	1	1	yes	characteristic
122	#1939	C₂²	1	1	yes	characteristic
123	#1939	C₂²	1	1	yes	characteristic
124	#1939	C₂²	1	1	yes	characteristic
125	#1924	C₂²	1	1	yes	characteristic
126	#1924	C₂²	1	1	yes	characteristic
127	#1924	C₂²	1	1	yes	characteristic
128	#1924	C₂²	1	1	yes	characteristic
129	#1924	C₂²	1	1	yes	characteristic
130	#1924	C₂²	1	1	yes	characteristic
131	#1923	C₂²	1	1	yes	characteristic
132	#1923	C₂²	1	1	yes	characteristic
133	#1923	C₂²	1	1	yes	characteristic
134	#1923	C₂²	1	1	yes	characteristic
135	#1923	C₂²	1	1	yes	characteristic
136	#1923	C₂²	1	1	yes	characteristic
137	#1917	C₂²	1	1	yes	characteristic
138	#1917	C₂²	1	1	yes	characteristic
139	#1917	C₂²	1	1	yes	characteristic
140	#1917	C₂²	1	1	yes	characteristic
141	#1916	C₂²	1	1	yes	characteristic
142	#1916	C₂²	1	1	yes	characteristic
143	#1916	C₂²	1	1	yes	characteristic
144	#1916	C₂²	1	1	yes	characteristic
145	#1916	C₂²	1	1	yes	characteristic
146	#1916	C₂²	1	1	yes	characteristic
147	#1916	C₂²	1	1	yes	characteristic
148	#1916	C₂²	1	1	yes	characteristic
149	#1870	C₂²	1	1	yes	characteristic
150	#1870	C₂²	1	1	yes	characteristic
151	#1870	C₂²	1	1	yes	characteristic
152	#1870	C₂²	1	1	yes	characteristic
153	#1870	C₂²	1	1	yes	characteristic
154	#1869	C₂²	1	1	yes	characteristic
155	#1869	C₂²	1	1	yes	characteristic
156	#1869	C₂²	1	1	yes	characteristic
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1851	C₂²	1	1	yes	characteristic
160	#1851	C₂²	1	1	yes	characteristic
161	#1851	C₂²	1	1	yes	characteristic
162	#1851	C₂²	1	1	yes	characteristic
163	#1851	C₂²	1	1	yes	characteristic
164	#1850	C₂²	1	1	yes	characteristic
165	#1850	C₂²	1	1	yes	characteristic
166	#1850	C₂²	1	1	yes	characteristic
167	#1850	C₂²	1	1	yes	characteristic
168	#1850	C₂²	1	1	yes	characteristic
169	#1843	C₂²	1	1	yes	characteristic
170	#1818	C₂²	1	1	yes	characteristic
171	#1818	C₂²	1	1	yes	characteristic
172	#1818	C₂²	1	1	yes	characteristic
173	#1817	C₂²	1	1	yes	characteristic
174	#1798	C₂²	1	1	yes	characteristic
175	#1798	C₂²	1	1	yes	characteristic
176	#1797	C₂²	1	1	yes	characteristic
177	#1797	C₂²	1	1	yes	characteristic
178	#1771	C₂²	1	1	yes	characteristic
179	#1771	C₂²	1	1	yes	characteristic
180	#1771	C₂²	1	1	yes	characteristic
181	#1771	C₂²	1	1	yes	characteristic
182	#1770	C₂²	1	1	yes	characteristic
183	#1770	C₂²	1	1	yes	characteristic
184	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
185	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
186	#1768	C₂²	1	1	yes	characteristic
187	#1768	C₂²	1	1	yes	characteristic
188	#1753	C₂²	1	1	yes	characteristic
189	#1753	C₂²	1	1	yes	characteristic
190	#1753	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	#1752	C₂²	1	1	yes	characteristic
195	#1752	C₂²	1	1	yes	characteristic
196	#1750	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	#1749	C₂²	1	1	yes	characteristic
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	#1729	C₂²	1	1	yes	characteristic
201	#1729	C₂²	1	1	yes	characteristic
202	#1729	C₂²	1	1	yes	characteristic
203	#1728	C₂²	1	1	yes	characteristic
204	#1726	C₂²	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂²×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	C₂³×C₈	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	#529	—	2	4	no	—
218	#529	—	2	4	no	—
219	#529	—	2	4	no	—
220	#529	—	2	4	no	—
221	C₂×#126	C₂×C₄	1	1	yes	characteristic
222	C₂×#126	C₂×C₄	1	1	yes	characteristic
223	C₂×#126	C₂×C₄	1	1	yes	characteristic
224	C₂×#126	C₂×C₄	1	1	yes	characteristic
225	C₂×#125	C₂×C₄	1	1	yes	characteristic
226	C₂×#125	C₂×C₄	1	1	yes	characteristic
227	C₂×#124	C₂×C₄	1	1	yes	characteristic
228	C₂×#124	C₂×C₄	1	1	yes	characteristic
229	C₂×#123	C₂×C₄	1	1	yes	characteristic
230	C₂×#123	C₂×C₄	1	1	yes	characteristic
231	C₂×#123	C₂×C₄	1	1	yes	characteristic
232	C₂×#123	C₂×C₄	1	1	yes	characteristic
233	C₂×#123	C₂×C₄	1	1	yes	characteristic
234	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
237	C₂×#121	C₂×C₄	1	1	yes	characteristic
238	C₂×#121	C₂×C₄	1	1	yes	characteristic
239	C₂×#121	C₂×C₄	1	1	yes	characteristic
240	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
241	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
248	C₂×#117	C₂³	1	1	yes	characteristic
249	C₂×#117	C₂³	1	1	yes	characteristic
250	C₂×#117	C₂³	1	1	yes	characteristic
251	C₂×#117	C₂³	1	1	yes	characteristic
252	C₂×#117	C₂³	1	1	yes	characteristic
253	C₂²×C₄²	C₂³	1	1	yes	characteristic
254	C₂²×C₄²	C₂³	1	1	yes	characteristic
255	C₂²×C₄²	C₂³	1	1	yes	characteristic
256	#446	—	2	4	no	—
257	#446	—	2	4	no	—
258	#446	—	2	4	no	—
259	C₈×Q₈	—	2	4	no	—
260	#436	—	2	4	no	—
261	#436	—	2	4	no	—
262	#436	—	2	4	no	—
263	#436	—	2	4	no	—
264	#436	—	4	2	no	—
265	#435	—	2	4	no	—
266	#435	—	2	4	no	—
267	#435	—	2	4	no	—
268	#435	—	2	4	no	—
269	#435	—	4	2	no	—
270	#435	D₄	1	8	yes	complemented
271	C₈×D₄	—	2	4	no	—
272	C₈×D₄	—	2	4	no	—
273	C₈×D₄	—	2	4	no	—
274	#433	—	2	4	no	—
275	#433	—	2	4	no	—
276	#433	—	2	4	no	—
277	#433	—	2	4	no	—
278	#432	—	2	4	no	—
279	#431	—	2	4	no	—
280	#424	—	2	4	no	—
281	#424	—	2	4	no	—
282	#424	—	2	4	no	—
283	#424	—	2	4	no	—
284	#424	—	4	2	no	—
285	#423	—	2	4	no	—
286	C₂×C₄⋊C₈	—	2	4	no	—
287	C₂×C₄⋊C₈	—	4	2	no	—
288	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	#405	—	4	2	no	—
339	C₄×M₁₆	—	4	2	no	—
340	C₂×#97	C₂³	1	1	yes	characteristic
341	C₂×#97	C₂³	1	1	yes	characteristic
342	C₂×#97	C₂³	1	1	yes	characteristic
343	C₂×#97	C₂³	1	1	yes	characteristic
344	C₂×#97	C₂³	1	1	yes	characteristic
345	C₂×#97	C₂³	1	1	yes	characteristic
346	C₂×#97	C₂³	1	1	yes	characteristic
347	C₂×#97	C₂³	1	1	yes	characteristic
348	C₂×#97	C₂³	1	1	yes	characteristic
349	C₂×#97	C₂³	1	1	yes	characteristic
350	C₂×#97	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
353	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
354	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
355	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
356	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
357	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
358	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
359	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
360	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
361	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
362	#400	C₂×C₄	1	1	yes	characteristic
363	#400	C₂×C₄	1	1	yes	characteristic
364	#400	C₂×C₄	1	1	yes	characteristic
365	#400	C₂×C₄	1	1	yes	characteristic
366	#399	C₂×C₄	1	1	yes	characteristic
367	#399	C₂×C₄	1	1	yes	characteristic
368	#399	C₂×C₄	1	1	yes	characteristic
369	#399	C₂×C₄	1	1	yes	characteristic
370	#398	C₂×C₄	1	1	yes	characteristic
371	#398	C₂×C₄	1	1	yes	characteristic
372	#398	C₂×C₄	1	1	yes	characteristic
373	#398	C₂×C₄	1	1	yes	characteristic
374	#398	C₂×C₄	1	1	yes	characteristic
375	#398	C₂×C₄	1	1	yes	characteristic
376	#398	C₂×C₄	1	1	yes	characteristic
377	#398	C₂×C₄	1	1	yes	characteristic
378	#398	C₂×C₄	1	1	yes	characteristic
379	#398	C₂×C₄	1	1	yes	characteristic
380	#397	C₂×C₄	1	1	yes	characteristic
381	#397	C₂×C₄	1	1	yes	characteristic
382	#397	C₂×C₄	1	1	yes	characteristic
383	#397	C₂×C₄	1	1	yes	characteristic
384	#397	C₂×C₄	1	1	yes	characteristic
385	#397	C₂×C₄	1	1	yes	characteristic
386	#397	C₂×C₄	1	1	yes	characteristic
387	#397	C₂×C₄	1	1	yes	characteristic
388	#397	C₂×C₄	1	1	yes	characteristic
389	#397	C₂×C₄	1	1	yes	characteristic
390	#396	C₂×C₄	1	1	yes	characteristic
391	#396	C₂×C₄	1	1	yes	characteristic
392	#396	C₂×C₄	1	1	yes	characteristic
393	#396	C₂×C₄	1	1	yes	characteristic
394	#395	C₂×C₄	1	1	yes	characteristic
395	#395	C₂×C₄	1	1	yes	characteristic
396	#395	C₂×C₄	1	1	yes	characteristic
397	#395	C₂×C₄	1	1	yes	characteristic
398	#395	C₂×C₄	1	1	yes	characteristic
399	#394	C₂×C₄	1	1	yes	characteristic
400	#394	C₂×C₄	1	1	yes	characteristic
401	#394	C₂×C₄	1	1	yes	characteristic
402	#394	C₂×C₄	1	1	yes	characteristic
403	#394	C₂×C₄	1	1	yes	characteristic
404	#394	C₂×C₄	1	1	yes	characteristic
405	#394	C₂×C₄	1	1	yes	characteristic
406	#394	C₂×C₄	1	1	yes	characteristic
407	#394	C₂×C₄	1	1	yes	characteristic
408	#393	C₂×C₄	1	1	yes	characteristic
409	#392	C₂×C₄	1	1	yes	characteristic
410	#391	C₂×C₄	1	1	yes	characteristic
411	#390	C₂×C₄	1	1	yes	characteristic
412	#389	C₂×C₄	1	1	yes	characteristic
413	#389	C₂×C₄	1	1	yes	characteristic
414	#389	C₂×C₄	1	1	yes	characteristic
415	#389	C₂×C₄	1	1	yes	characteristic
416	#389	C₂×C₄	1	1	yes	characteristic
417	#389	C₂×C₄	1	1	yes	characteristic
418	#388	C₂×C₄	1	1	yes	characteristic
419	#388	C₂×C₄	1	1	yes	characteristic
420	#388	C₂×C₄	1	1	yes	characteristic
421	#388	C₂×C₄	1	1	yes	characteristic
422	#388	C₂×C₄	1	1	yes	characteristic
423	#388	C₂×C₄	1	1	yes	characteristic
424	#388	C₂×C₄	1	1	yes	characteristic
425	#388	C₂×C₄	1	1	yes	characteristic
426	#387	C₂×C₄	1	1	yes	characteristic
427	#387	C₂×C₄	1	1	yes	characteristic
428	#387	C₂×C₄	1	1	yes	characteristic
429	#387	C₂×C₄	1	1	yes	characteristic
430	#387	C₂×C₄	1	1	yes	characteristic
431	#387	C₂×C₄	1	1	yes	characteristic
432	#387	C₂×C₄	1	1	yes	characteristic
433	#387	C₂×C₄	1	1	yes	characteristic
434	#386	C₂×C₄	1	1	yes	characteristic
435	#386	C₂×C₄	1	1	yes	characteristic
436	#386	C₂×C₄	1	1	yes	characteristic
437	#386	C₂×C₄	1	1	yes	characteristic
438	#386	C₂×C₄	1	1	yes	characteristic
439	#386	C₂×C₄	1	1	yes	characteristic
440	#386	C₂×C₄	1	1	yes	characteristic
441	#385	C₂×C₄	1	1	yes	characteristic
442	#385	C₂×C₄	1	1	yes	characteristic
443	#385	C₂×C₄	1	1	yes	characteristic
444	#385	C₂×C₄	1	1	yes	characteristic
445	#385	C₂×C₄	1	1	yes	characteristic
446	#385	C₂×C₄	1	1	yes	characteristic
447	#385	C₂×C₄	1	1	yes	characteristic
448	#385	C₂×C₄	1	1	yes	characteristic
449	#385	C₂×C₄	1	1	yes	characteristic
450	#385	C₂×C₄	1	1	yes	characteristic
451	#385	C₂×C₄	1	1	yes	characteristic
452	#384	C₂×C₄	1	1	yes	characteristic
453	#384	C₂×C₄	1	1	yes	characteristic
454	#382	C₂×C₄	1	1	yes	characteristic
455	#382	C₂×C₄	1	1	yes	characteristic
456	#381	C₂×C₄	1	1	yes	characteristic
457	#380	C₂×C₄	1	1	yes	characteristic
458	#380	C₂×C₄	1	1	yes	characteristic
459	#380	C₂×C₄	1	1	yes	characteristic
460	#380	C₂×C₄	1	1	yes	characteristic
461	#380	C₂×C₄	1	1	yes	characteristic
462	#380	C₂×C₄	1	1	yes	characteristic
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
475	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
477	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
478	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	#376	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	#336	C₂³	1	1	yes	characteristic
516	#336	C₂³	1	1	yes	characteristic
517	#336	C₂³	1	1	yes	characteristic
518	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
519	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
520	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
521	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
522	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
523	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
525	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
527	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
528	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
529	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
530	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
531	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
532	C₂³×C₄	C₂⁴	1	1	yes	characteristic
533	C₂³×C₄	C₂⁴	1	1	yes	characteristic
534	C₂³×C₄	C₂⁴	1	1	yes	characteristic
535	C₂³×C₄	C₂⁴	1	1	yes	characteristic
536	C₂×M₁₆	—	2	2	no	—
537	C₂×M₁₆	—	2	2	no	—
538	C₂×M₁₆	—	2	2	no	—
539	C₂×M₁₆	—	2	2	no	—
540	C₂×M₁₆	—	2	2	no	—
541	C₂×M₁₆	—	2	2	no	—
542	C₂×M₁₆	—	2	2	no	—
543	C₂×M₁₆	—	2	2	no	—
544	C₂×M₁₆	—	4	1	no	—
545	C₂×M₁₆	—	4	1	no	—
546	C₂×M₁₆	—	4	1	no	—
547	C₂×M₁₆	—	4	1	no	—
548	C₂×M₁₆	—	4	1	no	—
549	C₂×M₁₆	—	4	1	no	—
550	C₂×M₁₆	—	4	1	no	—
551	C₂×M₁₆	—	4	1	no	—
552	C₂×M₁₆	—	4	1	no	—
553	C₂×M₁₆	—	4	1	no	—
554	C₂×M₁₆	—	4	1	no	—
555	C₂×M₁₆	—	4	1	no	—
556	C₂×M₁₆	C₂×D₄	1	4	yes	—
557	C₂²×C₈	—	2	2	no	—
558	C₂²×C₈	—	2	2	no	—
559	C₂²×C₈	—	2	2	no	—
560	C₂²×C₈	—	2	2	no	—
561	C₂²×C₈	—	4	1	no	—
562	C₂²×C₈	—	4	1	no	—
563	C₂²×C₈	—	4	1	no	—
564	C₂²×C₈	—	4	1	no	—
565	C₂²×C₈	—	4	1	no	—
566	C₂²×C₈	—	4	1	no	—
567	C₂²×C₈	—	4	1	no	—
568	C₂²×C₈	—	4	1	no	—
569	C₂²×C₈	—	4	1	no	—
570	C₂²×C₈	—	4	1	no	—
571	C₂²×C₈	C₂×D₄	1	4	yes	—
572	C₂²×C₈	C₂⁴	1	1	yes	characteristic
573	C₂²×C₈	C₂⁴	1	1	yes	characteristic
574	C₂²×C₈	C₂⁴	1	1	yes	characteristic
575	C₂²×C₈	C₂⁴	1	1	yes	characteristic
576	C₂²×C₈	C₂⁴	1	1	yes	characteristic
577	C₂²×C₈	C₂⁴	1	1	yes	characteristic
578	C₂²×C₈	C₂⁴	1	1	yes	characteristic
579	C₂²×C₈	C₂⁴	1	1	yes	characteristic
580	C₂²×C₈	C₂⁴	1	1	yes	characteristic
581	C₂²×C₈	C₂⁴	1	1	yes	characteristic
582	C₂²×C₈	C₂⁴	1	1	yes	characteristic
583	C₂²×C₈	C₂⁴	1	1	yes	characteristic
584	C₂²×C₈	C₂⁴	1	1	yes	characteristic
585	C₂²×C₈	C₂⁴	1	1	yes	characteristic
586	C₂²×C₈	C₂⁴	1	1	yes	characteristic
587	C₂²×C₈	C₂⁴	1	1	yes	characteristic
588	#126	—	2	4	no	—
589	#126	—	2	4	no	—
590	#126	—	2	4	no	—
591	#126	—	2	4	no	—
592	#125	—	2	4	no	—
593	#125	—	2	4	no	—
594	#124	—	2	4	no	—
595	#124	—	2	4	no	—
596	#123	—	2	4	no	—
597	#123	—	2	4	no	—
598	#123	—	2	4	no	—
599	#123	—	2	4	no	—
600	#123	—	4	2	no	—
601	C₂²⋊Q₈	—	2	4	no	—
602	C₂²⋊Q₈	—	2	4	no	—
603	C₂²⋊Q₈	—	4	2	no	—
604	#121	—	2	4	no	—
605	#121	—	2	4	no	—
606	#121	—	4	2	no	—
607	C₄×Q₈	—	2	2	no	—
608	C₄×Q₈	—	2	2	no	—
609	C₄×Q₈	—	2	2	no	—
610	C₄×Q₈	—	2	2	no	—
611	C₄×D₄	—	2	2	no	—
612	C₄×D₄	—	2	2	no	—
613	C₄×D₄	—	2	2	no	—
614	C₄×D₄	—	2	2	no	—
615	C₄×D₄	—	2	2	no	—
616	C₄×D₄	—	2	2	no	—
617	C₄×D₄	—	2	2	no	—
618	C₄×D₄	—	2	2	no	—
619	C₄×D₄	—	2	2	no	—
620	C₄×D₄	—	2	2	no	—
621	C₄×D₄	C₂×D₄	1	4	yes	—
622	C₄×D₄	#41	1	4	yes	—
623	#117	—	2	2	no	—
624	#117	—	2	2	no	—
625	#117	—	2	2	no	—
626	#117	—	2	2	no	—
627	#117	—	2	2	no	—
628	#117	—	2	2	no	—
629	#117	—	2	2	no	—
630	#117	—	2	2	no	—
631	#117	—	2	2	no	—
632	#117	—	2	2	no	—
633	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₄²	—	2	2	no	—
714	C₂×C₄²	—	2	2	no	—
715	C₂×C₄²	—	2	2	no	—
716	C₂×C₄²	—	2	2	no	—
717	C₂×C₄²	—	2	2	no	—
718	C₂×C₄²	—	2	2	no	—
719	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₄²	C₂⁴	1	1	yes	characteristic
726	C₂×C₄²	C₂⁴	1	1	yes	characteristic
727	C₂×C₄²	C₂⁴	1	1	yes	characteristic
728	C₂×C₄²	C₂⁴	1	1	yes	characteristic
729	C₂×C₄²	C₂⁴	1	1	yes	characteristic
730	C₂×C₄²	C₂⁴	1	1	yes	characteristic
731	C₂×C₄²	C₂⁴	1	1	yes	characteristic
732	C₂×C₄²	C₂⁴	1	1	yes	characteristic
733	C₂×C₄²	C₂⁴	1	1	yes	characteristic
734	C₂×C₄²	C₂⁴	1	1	yes	characteristic
735	C₂×C₄²	C₂⁴	1	1	yes	characteristic
736	C₄⋊C₈	—	2	2	no	—
737	C₄⋊C₈	—	2	2	no	—
738	C₄⋊C₈	—	2	2	no	—
739	C₄⋊C₈	—	2	2	no	—
740	C₄⋊C₈	—	2	2	no	—
741	C₄⋊C₈	—	2	2	no	—
742	C₄⋊C₈	—	2	2	no	—
743	C₄⋊C₈	—	2	2	no	—
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	—	2	2	no	—
749	C₄⋊C₈	—	2	2	no	—
750	C₄⋊C₈	—	2	2	no	—
751	C₄⋊C₈	—	2	2	no	—
752	C₄⋊C₈	—	2	2	no	—
753	C₄⋊C₈	—	2	2	no	—
754	C₄⋊C₈	—	2	2	no	—
755	C₄⋊C₈	—	2	2	no	—
756	C₄⋊C₈	—	2	2	no	—
757	C₄⋊C₈	—	2	2	no	—
758	C₄⋊C₈	—	2	2	no	—
759	C₄⋊C₈	—	4	1	no	—
760	C₄⋊C₈	—	4	1	no	—
761	C₄⋊C₈	—	4	1	no	—
762	C₄⋊C₈	—	4	1	no	—
763	C₄⋊C₈	—	4	1	no	—
764	C₄⋊C₈	—	4	1	no	—
765	C₄⋊C₈	C₂×D₄	1	4	yes	—
766	C₂²⋊C₈	—	2	2	no	—
767	C₂²⋊C₈	—	2	2	no	—
768	C₂²⋊C₈	—	2	2	no	—
769	C₂²⋊C₈	—	2	2	no	—
770	C₂²⋊C₈	—	2	2	no	—
771	C₂²⋊C₈	—	2	2	no	—
772	C₂²⋊C₈	—	2	2	no	—
773	C₂²⋊C₈	—	2	2	no	—
774	C₂²⋊C₈	—	2	2	no	—
775	C₂²⋊C₈	—	2	2	no	—
776	C₂²⋊C₈	—	2	2	no	—
777	C₂²⋊C₈	—	2	2	no	—
778	C₂²⋊C₈	—	4	1	no	—
779	C₂²⋊C₈	—	4	1	no	—
780	C₂²⋊C₈	—	4	1	no	—
781	C₂²⋊C₈	—	4	1	no	—
782	C₂²⋊C₈	—	4	1	no	—
783	C₂²⋊C₈	—	4	1	no	—
784	C₂²⋊C₈	C₂×D₄	1	4	yes	—
785	C₂²⋊C₈	C₂×D₄	1	4	yes	—
786	#97	—	2	2	no	—
787	#97	—	2	2	no	—
788	#97	—	2	2	no	—
789	#97	—	2	2	no	—
790	#97	—	2	2	no	—
791	#97	—	2	2	no	—
792	#97	—	4	1	no	—
793	#97	—	4	1	no	—
794	#97	—	4	1	no	—
795	#97	—	4	1	no	—
796	#97	C₂×D₄	1	4	yes	—
797	C₄×C₈	—	2	2	no	—
798	C₄×C₈	—	2	2	no	—
799	C₄×C₈	—	2	2	no	—
800	C₄×C₈	—	2	2	no	—
801	C₄×C₈	—	2	2	no	—
802	C₄×C₈	—	2	2	no	—
803	C₄×C₈	—	2	2	no	—
804	C₄×C₈	—	2	2	no	—
805	C₄×C₈	—	2	2	no	—
806	C₄×C₈	—	2	2	no	—
807	C₄×C₈	—	4	1	no	—
808	#95	C₂²×C₄	1	1	yes	characteristic
809	#95	C₂²×C₄	1	1	yes	characteristic
810	#95	C₂²×C₄	1	1	yes	characteristic
811	#95	C₂²×C₄	1	1	yes	characteristic
812	#95	C₂²×C₄	1	1	yes	characteristic
813	#95	C₂²×C₄	1	1	yes	characteristic
814	#95	C₂²×C₄	1	1	yes	characteristic
815	#95	C₂²×C₄	1	1	yes	characteristic
816	#95	C₂²×C₄	1	1	yes	characteristic
817	#95	C₂²×C₄	1	1	yes	characteristic
818	#95	C₂²×C₄	1	1	yes	characteristic
819	#95	C₂²×C₄	1	1	yes	characteristic
820	#95	C₂²×C₄	1	1	yes	characteristic
821	#95	C₂²×C₄	1	1	yes	characteristic
822	#95	C₂²×C₄	1	1	yes	characteristic
823	#95	C₂²×C₄	1	1	yes	characteristic
824	#95	C₂²×C₄	1	1	yes	characteristic
825	#95	C₂²×C₄	1	1	yes	characteristic
826	#95	C₂²×C₄	1	1	yes	characteristic
827	#95	C₂²×C₄	1	1	yes	characteristic
828	#95	C₂²×C₄	1	1	yes	characteristic
829	#95	C₂²×C₄	1	1	yes	characteristic
830	#95	C₂²×C₄	1	1	yes	characteristic
831	#95	C₂²×C₄	1	1	yes	characteristic
832	#95	C₂²×C₄	1	1	yes	characteristic
833	#95	C₂²×C₄	1	1	yes	characteristic
834	#95	C₂²×C₄	1	1	yes	characteristic
835	#95	C₂²×C₄	1	1	yes	characteristic
836	#95	C₂²×C₄	1	1	yes	characteristic
837	#95	C₂²×C₄	1	1	yes	characteristic
838	#95	C₂²×C₄	1	1	yes	characteristic
839	#95	C₂²×C₄	1	1	yes	characteristic
840	#95	C₂²×C₄	1	1	yes	characteristic
841	#95	C₂²×C₄	1	1	yes	characteristic
842	#95	C₂²×C₄	1	1	yes	characteristic
843	#95	C₂²×C₄	1	1	yes	characteristic
844	#95	C₂²×C₄	1	1	yes	characteristic
845	#95	C₂²×C₄	1	1	yes	characteristic
846	#95	C₂²×C₄	1	1	yes	characteristic
847	#95	C₂²×C₄	1	1	yes	characteristic
848	C₂⁴	C₂³×C₄	1	1	yes	characteristic
849	C₂⁴	C₂³×C₄	1	1	yes	characteristic
850	C₂⁴	C₂³×C₄	1	1	yes	characteristic
851	C₂⁴	C₂³×C₄	1	1	yes	characteristic
852	C₂×Q₈	—	2	2	no	—
853	C₂×Q₈	—	2	2	no	—
854	C₂×Q₈	—	2	2	no	—
855	C₂×Q₈	—	4	1	no	—
856	C₂×Q₈	—	4	1	no	—
857	C₂×Q₈	—	4	1	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	—	4	1	no	—
866	C₂×D₄	—	4	1	no	—
867	C₂×D₄	—	4	1	no	—
868	C₂×D₄	—	4	1	no	—
869	C₂×D₄	—	4	1	no	—
870	C₂×D₄	—	4	1	no	—
871	C₂×D₄	—	4	1	no	—
872	C₂×D₄	—	4	1	no	—
873	C₂×D₄	—	4	1	no	—
874	C₂×D₄	—	4	1	no	—
875	C₂×D₄	C₄×D₄	1	4	yes	—
876	C₂²×C₄	—	2	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	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	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	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	4	1	no	—
904	C₂²×C₄	—	4	1	no	—
905	C₂²×C₄	—	4	1	no	—
906	C₂²×C₄	—	4	1	no	—
907	C₂²×C₄	—	4	1	no	—
908	C₂²×C₄	—	4	1	no	—
909	C₂²×C₄	—	4	1	no	—
910	C₂²×C₄	—	4	1	no	—
911	C₂²×C₄	—	4	1	no	—
912	C₂²×C₄	—	4	1	no	—
913	C₂²×C₄	—	4	1	no	—
914	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
915	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
916	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
917	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
918	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
919	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
920	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
921	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
922	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
923	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
924	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
925	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
926	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
927	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
928	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
929	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
930	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
931	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
932	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
933	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
938	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂²×C₄	C₂²×D₄	1	2	yes	—
941	C₂²×C₄	C₂²×D₄	1	2	yes	—
942	C₂²×C₄	C₂×#41	1	2	yes	—
943	C₂²×C₄	C₂×#41	1	2	yes	—
944	C₂²×C₄	C₂⁵	1	1	yes	characteristic
945	M₁₆	—	4	4	no	—
946	M₁₆	—	4	4	no	—
947	M₁₆	—	4	4	no	—
948	M₁₆	—	8	2	no	—
949	M₁₆	—	8	2	no	—
950	M₁₆	—	8	2	no	—
951	M₁₆	—	8	2	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	2	1	no	—
960	C₂×C₈	—	2	1	no	—
961	C₂×C₈	—	2	1	no	—
962	C₂×C₈	—	2	1	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	—	2	1	no	—
976	C₂×C₈	—	2	1	no	—
977	C₂×C₈	—	2	1	no	—
978	C₂×C₈	—	2	1	no	—
979	C₂×C₈	—	2	1	no	—
980	C₂×C₈	—	2	1	no	—
981	C₂×C₈	—	2	1	no	—
982	C₂×C₈	—	2	1	no	—
983	C₂×C₈	—	2	1	no	—
984	C₂×C₈	—	2	1	no	—
985	C₂×C₈	—	2	1	no	—
986	C₂×C₈	—	2	1	no	—
987	C₂×C₈	—	2	1	no	—
988	C₂×C₈	—	2	1	no	—
989	C₂×C₈	—	2	1	no	—
990	C₂×C₈	—	2	1	no	—
991	C₂×C₈	—	2	1	no	—
992	C₂×C₈	—	2	1	no	—
993	C₂×C₈	—	2	1	no	—
994	C₂×C₈	—	2	1	no	—
995	C₂×C₈	—	4	4	no	—
996	C₂×C₈	—	8	2	no	—
997	C₂×C₈	—	8	2	no	—
998	C₂×C₈	—	8	2	no	—
999	C₂×C₈	—	8	2	no	—
1000	C₂×C₈	C₂²×D₄	1	2	yes	—
1001	C₂×C₈	C₂²×D₄	1	2	yes	—
1002	C₂×C₈	C₂²×D₄	1	2	yes	—
1003	C₂×C₈	C₂²×D₄	1	2	yes	—
1004	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	—	4	1	no	—
1031	C₄⋊C₄	—	4	1	no	—
1032	C₄⋊C₄	—	4	1	no	—
1033	C₄⋊C₄	—	4	1	no	—
1034	C₄⋊C₄	—	4	1	no	—
1035	C₄⋊C₄	—	4	1	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	C₄×D₄	1	4	yes	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	2	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	4	1	no	—
1069	C₂²⋊C₄	—	4	1	no	—
1070	C₂²⋊C₄	—	4	1	no	—
1071	C₂²⋊C₄	—	4	1	no	—
1072	C₂²⋊C₄	—	4	1	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	no	—
1076	C₂²⋊C₄	—	4	1	no	—
1077	C₂²⋊C₄	—	4	1	no	—
1078	C₂²⋊C₄	—	4	1	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	1	no	—
1081	C₂²⋊C₄	—	4	1	no	—
1082	C₂²⋊C₄	—	4	1	no	—
1083	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1084	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1085	C₄²	—	2	2	no	—
1086	C₄²	—	2	2	no	—
1087	C₄²	—	2	2	no	—
1088	C₄²	—	2	2	no	—
1089	C₄²	—	2	2	no	—
1090	C₄²	—	2	2	no	—
1091	C₄²	—	2	1	no	—
1092	C₄²	—	2	1	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	—	2	1	no	—
1098	C₄²	—	2	1	no	—
1099	C₄²	—	2	1	no	—
1100	C₄²	—	2	1	no	—
1101	C₄²	—	2	1	no	—
1102	C₄²	—	2	1	no	—
1103	C₄²	—	2	1	no	—
1104	C₄²	—	2	1	no	—
1105	C₄²	—	2	1	no	—
1106	C₄²	—	2	1	no	—
1107	C₄²	—	2	1	no	—
1108	C₄²	—	2	1	no	—
1109	C₄²	C₂²×D₄	1	2	yes	—
1110	C₄²	C₂×#41	1	2	yes	—
1111	C₄²	H(5,𝔽₂)	1	2	yes	—
1112	C₄²	2₋¹⁺⁴	1	2	yes	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	1	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	—	2	1	no	—
1125	C₂³	—	2	1	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	2	1	no	—
1128	C₂³	—	2	1	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	1	no	—
1133	C₂³	—	2	1	no	—
1134	C₂³	—	2	1	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	C₂×C₄×D₄	1	2	yes	—
1140	C₂³	C₂×C₄×D₄	1	2	yes	—
1141	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1142	Q₈	—	4	4	no	—
1143	Q₈	—	8	2	no	—
1144	D₄	—	4	4	no	—
1145	D₄	—	4	4	no	—
1146	D₄	—	4	4	no	—
1147	D₄	—	8	2	no	—
1148	D₄	—	8	2	no	—
1149	D₄	—	8	2	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	4	4	no	—
1230	C₂×C₄	—	4	4	no	—
1231	C₂×C₄	—	4	4	no	—
1232	C₂×C₄	—	4	1	no	—
1233	C₂×C₄	—	4	1	no	—
1234	C₂×C₄	—	4	1	no	—
1235	C₂×C₄	—	4	1	no	—
1236	C₂×C₄	—	4	1	no	—
1237	C₂×C₄	—	4	1	no	—
1238	C₂×C₄	—	4	1	no	—
1239	C₂×C₄	—	4	1	no	—
1240	C₂×C₄	—	8	2	no	—
1241	C₂×C₄	—	8	2	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1244	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1245	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1246	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1247	C₂×C₄	#520	1	2	yes	—
1248	C₂×C₄	#520	1	2	yes	—
1249	C₂×C₄	#568	1	2	yes	—
1250	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1251	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1252	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1253	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1254	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1255	C₂×C₄	#585	1	1	yes	characteristic
1256	C₈	—	2	2	no	—
1257	C₈	—	2	2	no	—
1258	C₈	—	2	2	no	—
1259	C₈	—	2	2	no	—
1260	C₈	—	2	2	no	—
1261	C₈	—	4	1	no	—
1262	C₈	—	4	1	no	—
1263	C₈	—	4	1	no	—
1264	C₈	—	4	1	no	—
1265	C₈	—	4	1	no	—
1266	C₈	—	4	1	no	—
1267	C₈	—	4	1	no	—
1268	C₈	—	4	1	no	—
1269	C₈	—	4	1	no	—
1270	C₈	—	4	1	no	—
1271	C₈	—	4	1	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	1	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	—	4	1	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1301	C₂²	C₂×#520	1	1	yes	characteristic
1302	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1303	C₂²	C₂×#568	1	1	yes	characteristic
1304	C₂²	#3573	1	1	yes	characteristic
1305	C₂²	#3573	1	1	yes	characteristic
1306	C₂²	#3573	1	1	yes	characteristic
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	#3496	1	1	yes	characteristic
1334	C₄	#3499	1	1	yes	characteristic
1335	C₄	#3515	1	1	yes	characteristic
1336	C₄	#3520	1	1	yes	characteristic
1337	C₂	—	4	2	no	—
1338	C₂	—	4	2	no	—
1339	C₂	—	8	1	no	—
1340	C₂	—	8	1	no	—
1341	C₂	#34308	1	1	yes	characteristic
1342	C₂	#60142	1	1	yes	characteristic
1343	C₂	#60146	1	1	yes	characteristic
1344	C₂	#60267	1	1	yes	characteristic
1345	C₂	#60273	1	1	yes	characteristic
1346	C₂	#60336	1	1	yes	characteristic
1347	C₂	#60346	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#2671	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ 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×#2995	C₂	semidirect
2. C₂×#2994	C₂	semidirect
4. #23154	C₂	semidirect
5. #22994	C₂	semidirect
6. #22987	C₂	semidirect
7. #22960	C₂	semidirect
8. #22953	C₂	semidirect
9. #22909	C₂	semidirect
10. #22906	C₂	semidirect
11. #22903	C₂	semidirect
12. #22903	C₂	semidirect
13. #22649	C₂	semidirect
14. #22647	C₂	semidirect
15. #22604	C₂	semidirect
16. #22602	C₂	semidirect
17. #22474	C₂	semidirect
18. #22472	C₂	semidirect
19. #22109	C₂	semidirect
20. #22106	C₂	semidirect
21. #22074	C₂	semidirect
22. #22074	C₂	semidirect
23. #22069	C₂	semidirect
24. #22066	C₂	semidirect
25. #21717	C₂	semidirect
26. #21495	C₂	semidirect
27. #21488	C₂	semidirect
28. #21273	C₂	semidirect
29. #21147	C₂	semidirect
30. #21145	C₂	semidirect
31. #20487	C₂	semidirect
270. #435	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2995	2
C₂×#2994	2
#52147	2
#23154	2
#22994	2
#22987	2
#22960	2
#22953	2
#22909	2
#22906	2
#22903	2
#22649	2
#22647	2
#22604	2
#22602	2
#22474	2
#22472	2
#22109	2
#22106	2
#22074	2
#22069	2
#22066	2
#21717	2
#21495	2
#21488	2
#21273	2
#21147	2
#21145	2
#20487	2