Subgroups — #6400271

Order 512.

2221 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2973	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2970	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#546	C₂	1	1	yes	maximal, characteristic
4	#23206	C₂	1	1	yes	maximal, characteristic, complemented
5	#23086	C₂	1	1	yes	maximal, characteristic, complemented
6	#23053	C₂	1	1	yes	maximal, characteristic, complemented
7	#22987	C₂	1	1	yes	maximal, characteristic, complemented
8	#22986	C₂	1	1	yes	maximal, characteristic, complemented
9	#22912	C₂	1	1	yes	maximal, characteristic, complemented
10	#22910	C₂	1	1	yes	maximal, characteristic, complemented
11	#22850	C₂	1	1	yes	maximal, characteristic, complemented
12	#22842	C₂	1	1	yes	maximal, characteristic, complemented
13	#22799	C₂	1	1	yes	maximal, characteristic, complemented
14	#22648	C₂	1	1	yes	maximal, characteristic, complemented
15	#22555	C₂	1	1	yes	maximal, characteristic, complemented
16	#22554	C₂	1	1	yes	maximal, characteristic, complemented
17	#22471	C₂	1	1	yes	maximal, characteristic, complemented
18	#22399	C₂	1	1	yes	maximal, characteristic, complemented
19	#22216	C₂	1	1	yes	maximal, characteristic, complemented
20	#22172	C₂	1	1	yes	maximal, characteristic, complemented
21	#22170	C₂	1	1	yes	maximal, characteristic, complemented
22	#22108	C₂	1	1	yes	maximal, characteristic, complemented
23	#22036	C₂	1	1	yes	maximal, characteristic, complemented
24	#22028	C₂	1	1	yes	maximal, characteristic, complemented
25	#21564	C₂	1	1	yes	maximal, characteristic, complemented
26	#21562	C₂	1	1	yes	maximal, characteristic, complemented
27	#21489	C₂	1	1	yes	maximal, characteristic, complemented
28	#21107	C₂	1	1	yes	maximal, characteristic, complemented
29	#21049	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#1924	C₂	1	1	yes	maximal, characteristic, complemented
31	#20559	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#546	C₄	1	1	yes	characteristic
33	C₂×C₄×#41	C₂²	1	1	yes	characteristic
34	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
35	#2973	—	2	8	no	—
36	#2970	—	2	8	no	—
37	C₂×#446	C₂²	1	1	yes	characteristic, complemented
38	C₂×#446	C₂²	1	1	yes	characteristic, complemented
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic
43	C₂×#435	C₂²	1	1	yes	characteristic
44	C₂×#435	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, complemented
50	C₂×#435	C₂²	1	1	yes	characteristic, complemented
51	C₂×#435	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₂×#432	C₂²	1	1	yes	characteristic
56	C₂×#432	C₂²	1	1	yes	characteristic
57	C₂×#432	C₂²	1	1	yes	characteristic, complemented
58	C₂×#432	C₂²	1	1	yes	characteristic, complemented
59	C₂×#432	C₂²	1	1	yes	characteristic, complemented
60	C₂×#423	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
62	C₂×#407	C₂²	1	1	yes	characteristic
63	C₂×#407	C₂²	1	1	yes	characteristic
64	C₂×#407	C₂²	1	1	yes	characteristic
65	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
66	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
67	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
68	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
70	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
71	#2367	C₄	1	1	yes	characteristic
72	#2364	C₄	1	1	yes	characteristic
73	#2364	C₄	1	1	yes	characteristic
74	#2363	C₄	1	1	yes	characteristic
75	#2360	C₄	1	1	yes	characteristic
76	#2359	C₄	1	1	yes	characteristic
77	#2359	C₄	1	1	yes	characteristic
78	#2358	C₄	1	1	yes	characteristic
79	#2358	C₄	1	1	yes	characteristic
80	#2352	C₄	1	1	yes	characteristic
81	#2349	C₄	1	1	yes	characteristic
82	#2342	C₄	1	1	yes	characteristic
83	#2342	C₄	1	1	yes	characteristic
84	#2339	C₄	1	1	yes	characteristic
85	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
86	C₄×#124	C₂²	1	1	yes	characteristic
87	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
88	C₄×#123	C₂²	1	1	yes	characteristic
89	C₄×#123	C₂²	1	1	yes	characteristic
90	C₄×#121	C₂²	1	1	yes	characteristic
91	C₄×#121	C₂²	1	1	yes	characteristic
92	C₄×#121	C₂²	1	1	yes	characteristic
93	C₄×#120	C₂²	1	1	yes	characteristic
94	C₄×#120	C₂²	1	1	yes	characteristic
95	C₄²×D₄	C₂²	1	1	yes	characteristic
96	C₄²×D₄	C₂²	1	1	yes	characteristic
97	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
98	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
99	#1985	C₂²	1	1	yes	characteristic, complemented
100	#1985	C₂²	1	1	yes	characteristic, complemented
101	#1955	C₂²	1	1	yes	characteristic
102	#1955	C₂²	1	1	yes	characteristic
103	#1955	C₂²	1	1	yes	characteristic, complemented
104	#1954	C₂²	1	1	yes	characteristic
105	#1954	C₂²	1	1	yes	characteristic
106	#1954	C₂²	1	1	yes	characteristic, complemented
107	#1940	C₂²	1	1	yes	characteristic, complemented
108	#1940	C₂²	1	1	yes	characteristic, complemented
109	#1940	C₂²	1	1	yes	characteristic, complemented
110	#1939	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic
112	#1924	C₂²	1	1	yes	characteristic
113	#1924	C₂²	1	1	yes	characteristic
114	#1924	C₂²	1	1	yes	characteristic
115	#1924	C₂²	1	1	yes	characteristic
116	#1924	C₂²	1	1	yes	characteristic
117	#1924	C₂²	1	1	yes	characteristic
118	#1924	C₂²	1	1	yes	characteristic
119	#1924	C₂²	1	1	yes	characteristic, complemented
120	#1924	C₂²	1	1	yes	characteristic, complemented
121	#1924	C₂²	1	1	yes	characteristic, complemented
122	#1924	C₂²	1	1	yes	characteristic, complemented
123	#1924	C₂²	1	1	yes	characteristic, complemented
124	#1924	C₂²	1	1	yes	characteristic, complemented
125	#1924	C₂²	1	1	yes	characteristic, complemented
126	#1924	C₂²	1	1	yes	characteristic, complemented
127	#1924	C₂²	1	1	yes	characteristic, complemented
128	#1923	C₂²	1	1	yes	characteristic
129	#1923	C₂²	1	1	yes	characteristic
130	#1923	C₂²	1	1	yes	characteristic
131	#1923	C₂²	1	1	yes	characteristic
132	#1923	C₂²	1	1	yes	characteristic, complemented
133	#1923	C₂²	1	1	yes	characteristic, complemented
134	#1923	C₂²	1	1	yes	characteristic, complemented
135	#1923	C₂²	1	1	yes	characteristic, complemented
136	#1923	C₂²	1	1	yes	characteristic, complemented
137	#1917	C₂²	1	1	yes	characteristic, complemented
138	#1917	C₂²	1	1	yes	characteristic, complemented
139	#1917	C₂²	1	1	yes	characteristic, complemented
140	#1917	C₂²	1	1	yes	characteristic, complemented
141	#1917	C₂²	1	1	yes	characteristic, complemented
142	#1916	C₂²	1	1	yes	characteristic, complemented
143	#1870	C₂²	1	1	yes	characteristic
144	#1870	C₂²	1	1	yes	characteristic
145	#1870	C₂²	1	1	yes	characteristic, complemented
146	#1870	C₂²	1	1	yes	characteristic, complemented
147	#1870	C₂²	1	1	yes	characteristic, complemented
148	#1869	C₂²	1	1	yes	characteristic
149	#1869	C₂²	1	1	yes	characteristic
150	#1869	C₂²	1	1	yes	characteristic
151	#1869	C₂²	1	1	yes	characteristic
152	#1869	C₂²	1	1	yes	characteristic, complemented
153	#1869	C₂²	1	1	yes	characteristic, complemented
154	#1869	C₂²	1	1	yes	characteristic, complemented
155	#1869	C₂²	1	1	yes	characteristic, complemented
156	#1869	C₂²	1	1	yes	characteristic, complemented
157	#1851	C₂²	1	1	yes	characteristic, complemented
158	#1851	C₂²	1	1	yes	characteristic, complemented
159	#1851	C₂²	1	1	yes	characteristic, complemented
160	#1851	C₂²	1	1	yes	characteristic, complemented
161	#1851	C₂²	1	1	yes	characteristic, complemented
162	#1850	C₂²	1	1	yes	characteristic, complemented
163	#1850	C₂²	1	1	yes	characteristic, complemented
164	#1850	C₂²	1	1	yes	characteristic, complemented
165	#1850	C₂²	1	1	yes	characteristic, complemented
166	#1850	C₂²	1	1	yes	characteristic, complemented
167	#1850	C₂²	1	1	yes	characteristic, complemented
168	#1850	C₂²	1	1	yes	characteristic, complemented
169	#1842	C₂²	1	1	yes	characteristic, complemented
170	#1817	C₂²	1	1	yes	characteristic, complemented
171	#1817	C₂²	1	1	yes	characteristic, complemented
172	#1797	C₂²	1	1	yes	characteristic
173	#1797	C₂²	1	1	yes	characteristic, complemented
174	#1797	C₂²	1	1	yes	characteristic, complemented
175	#1797	C₂²	1	1	yes	characteristic, complemented
176	#1779	C₂²	1	1	yes	characteristic
177	#1779	C₂²	1	1	yes	characteristic
178	#1771	C₂²	1	1	yes	characteristic, complemented
179	#1771	C₂²	1	1	yes	characteristic, complemented
180	#1771	C₂²	1	1	yes	characteristic, complemented
181	#1770	C₂²	1	1	yes	characteristic, complemented
182	#1770	C₂²	1	1	yes	characteristic, complemented
183	#1770	C₂²	1	1	yes	characteristic, complemented
184	#1767	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
186	#1753	C₂²	1	1	yes	characteristic, complemented
187	#1753	C₂²	1	1	yes	characteristic, complemented
188	#1753	C₂²	1	1	yes	characteristic, complemented
189	#1753	C₂²	1	1	yes	characteristic, complemented
190	#1753	C₂²	1	1	yes	characteristic, complemented
191	#1752	C₂²	1	1	yes	characteristic, complemented
192	#1752	C₂²	1	1	yes	characteristic, complemented
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	#1749	C₂²	1	1	yes	characteristic
197	#1749	C₂²	1	1	yes	characteristic, complemented
198	#1749	C₂²	1	1	yes	characteristic, complemented
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	#1745	C₂²	1	1	yes	characteristic, complemented
201	#1728	C₂²	1	1	yes	characteristic, complemented
202	#1728	C₂²	1	1	yes	characteristic, complemented
203	C₂×#336	C₂²	1	1	yes	characteristic, complemented
204	C₂×#336	C₂²	1	1	yes	characteristic, complemented
205	C₂²×#41	C₂×C₄	1	1	yes	characteristic
206	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
207	C₂⁴×C₄	C₂³	1	1	yes	characteristic
208	C₂⁴×C₄	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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×M₁₆	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	1	1	yes	characteristic
218	C₂³×C₈	C₂³	1	1	yes	characteristic
219	C₂³×C₈	C₂³	1	1	yes	characteristic
220	C₂³×C₈	C₂³	1	1	yes	characteristic
221	C₂³×C₈	C₂³	1	1	yes	characteristic
222	C₂³×C₈	C₂³	1	1	yes	characteristic
223	#546	—	2	8	no	—
224	C₂×#124	C₂×C₄	1	1	yes	characteristic
225	C₂×#123	C₂×C₄	1	1	yes	characteristic
226	C₂×#123	C₂×C₄	1	1	yes	characteristic
227	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
228	C₂×#121	C₂×C₄	1	1	yes	characteristic
229	C₂×#121	C₂×C₄	1	1	yes	characteristic
230	C₂×#121	C₂×C₄	1	1	yes	characteristic
231	C₂×#120	C₂×C₄	1	1	yes	characteristic
232	C₂×#120	C₂×C₄	1	1	yes	characteristic
233	C₄×#41	—	2	4	no	—
234	C₄×#41	—	2	4	no	—
235	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	—	2	4	no	—
238	C₂×C₄×D₄	—	2	4	no	—
239	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
240	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
243	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
248	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
249	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
250	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
259	C₂×#117	C₂×C₄	1	1	yes	characteristic
260	C₂×#117	C₂×C₄	1	1	yes	characteristic
261	C₂×#117	C₂×C₄	1	1	yes	characteristic
262	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
263	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
264	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
265	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
266	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
267	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
268	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
269	C₂²×C₄²	C₂³	1	1	yes	characteristic
270	C₂²×C₄²	C₂³	1	1	yes	characteristic
271	C₂²×C₄²	C₂³	1	1	yes	characteristic
272	C₂²×C₄²	C₂³	1	1	yes	characteristic
273	C₂²×C₄²	C₂³	1	1	yes	characteristic
274	C₂²×C₄²	C₂³	1	1	yes	characteristic
275	#446	—	2	4	no	—
276	#446	—	2	4	no	—
277	#435	—	2	4	no	—
278	#435	—	2	4	no	—
279	#435	—	2	4	no	—
280	#435	—	2	4	no	—
281	#435	—	2	4	no	—
282	#435	—	2	4	no	—
283	#435	—	2	4	no	—
284	#435	—	2	4	no	—
285	#435	—	2	4	no	—
286	#435	—	2	4	no	—
287	#435	—	2	4	no	—
288	#435	—	4	2	no	—
289	#435	D₄	1	8	yes	complemented
290	C₈×D₄	—	2	4	no	—
291	C₈×D₄	—	2	4	no	—
292	C₈×D₄	—	4	2	no	—
293	#432	—	2	4	no	—
294	#432	—	2	4	no	—
295	#432	—	2	4	no	—
296	#432	—	2	4	no	—
297	#432	—	2	4	no	—
298	#423	—	4	2	no	—
299	C₂×C₄⋊C₈	—	4	2	no	—
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×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	#407	—	2	4	no	—
321	#407	—	2	4	no	—
322	#407	—	4	2	no	—
323	C₂×C₂²⋊C₈	—	2	4	no	—
324	C₂×C₂²⋊C₈	—	2	4	no	—
325	C₂×C₂²⋊C₈	—	4	2	no	—
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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
360	C₄×M₁₆	—	2	4	no	—
361	C₂×#97	—	2	4	no	—
362	C₂×#97	—	2	4	no	—
363	C₂×#97	C₂³	1	1	yes	characteristic
364	C₂×#97	C₂³	1	1	yes	characteristic
365	C₂×#97	C₂³	1	1	yes	characteristic
366	C₂×#97	C₂³	1	1	yes	characteristic
367	C₂×#97	C₂³	1	1	yes	characteristic
368	C₂×#97	C₂³	1	1	yes	characteristic
369	C₂×#97	C₂³	1	1	yes	characteristic
370	C₂×#97	C₂³	1	1	yes	characteristic
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	#391	C₂×C₄	1	1	yes	characteristic
384	#391	C₂×C₄	1	1	yes	characteristic
385	#390	C₂×C₄	1	1	yes	characteristic
386	#390	C₂×C₄	1	1	yes	characteristic
387	#390	C₂×C₄	1	1	yes	characteristic
388	#390	C₂×C₄	1	1	yes	characteristic
389	#389	C₂×C₄	1	1	yes	characteristic
390	#389	C₂×C₄	1	1	yes	characteristic
391	#389	C₂×C₄	1	1	yes	characteristic
392	#389	C₂×C₄	1	1	yes	characteristic
393	#388	C₂×C₄	1	1	yes	characteristic
394	#388	C₂×C₄	1	1	yes	characteristic
395	#388	C₂×C₄	1	1	yes	characteristic
396	#388	C₂×C₄	1	1	yes	characteristic
397	#388	C₂×C₄	1	1	yes	characteristic
398	#388	C₂×C₄	1	1	yes	characteristic
399	#388	C₂×C₄	1	1	yes	characteristic
400	#388	C₂×C₄	1	1	yes	characteristic
401	#388	C₂×C₄	1	1	yes	characteristic
402	#388	C₂×C₄	1	1	yes	characteristic
403	#388	C₂×C₄	1	1	yes	characteristic
404	#388	C₂×C₄	1	1	yes	characteristic
405	#388	C₂×C₄	1	1	yes	characteristic
406	#388	C₂×C₄	1	1	yes	characteristic
407	#387	C₂×C₄	1	1	yes	characteristic
408	#387	C₂×C₄	1	1	yes	characteristic
409	#387	C₂×C₄	1	1	yes	characteristic
410	#387	C₂×C₄	1	1	yes	characteristic
411	#387	C₂×C₄	1	1	yes	characteristic
412	#387	C₂×C₄	1	1	yes	characteristic
413	#386	C₂×C₄	1	1	yes	characteristic
414	#386	C₂×C₄	1	1	yes	characteristic
415	#386	C₂×C₄	1	1	yes	characteristic
416	#386	C₂×C₄	1	1	yes	characteristic
417	#386	C₂×C₄	1	1	yes	characteristic
418	#386	C₂×C₄	1	1	yes	characteristic
419	#386	C₂×C₄	1	1	yes	characteristic
420	#386	C₂×C₄	1	1	yes	characteristic
421	#386	C₂×C₄	1	1	yes	characteristic
422	#386	C₂×C₄	1	1	yes	characteristic
423	#386	C₂×C₄	1	1	yes	characteristic
424	#386	C₂×C₄	1	1	yes	characteristic
425	#386	C₂×C₄	1	1	yes	characteristic
426	#386	C₂×C₄	1	1	yes	characteristic
427	#385	C₂×C₄	1	1	yes	characteristic
428	#385	C₂×C₄	1	1	yes	characteristic
429	#385	C₂×C₄	1	1	yes	characteristic
430	#385	C₂×C₄	1	1	yes	characteristic
431	#385	C₂×C₄	1	1	yes	characteristic
432	#385	C₂×C₄	1	1	yes	characteristic
433	#385	C₂×C₄	1	1	yes	characteristic
434	#385	C₂×C₄	1	1	yes	characteristic
435	#385	C₂×C₄	1	1	yes	characteristic
436	#385	C₂×C₄	1	1	yes	characteristic
437	#382	C₂×C₄	1	1	yes	characteristic
438	#381	C₂×C₄	1	1	yes	characteristic
439	#381	C₂×C₄	1	1	yes	characteristic
440	#380	C₂×C₄	1	1	yes	characteristic
441	#380	C₂×C₄	1	1	yes	characteristic
442	#380	C₂×C₄	1	1	yes	characteristic
443	#380	C₂×C₄	1	1	yes	characteristic
444	#379	C₂×C₄	1	1	yes	characteristic
445	#379	C₂×C₄	1	1	yes	characteristic
446	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
447	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
448	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
449	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
455	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
457	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
458	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
459	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
460	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
461	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
462	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
463	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
464	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
467	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
470	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₂²⋊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	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	C₂×#95	C₂×C₄	1	1	yes	characteristic
483	C₂×#95	C₂×C₄	1	1	yes	characteristic
484	C₂×#95	C₂×C₄	1	1	yes	characteristic
485	C₂×#95	C₂×C₄	1	1	yes	characteristic
486	C₄³	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	#336	C₂³	1	1	yes	characteristic
519	C₂⁵	C₂²×C₄	1	1	yes	characteristic
520	C₂⁵	C₂²×C₄	1	1	yes	characteristic
521	C₂×#41	—	2	4	no	—
522	C₂×#41	—	2	4	no	—
523	C₂×#41	—	4	2	no	—
524	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
525	C₂²×D₄	—	2	4	no	—
526	C₂²×D₄	—	2	4	no	—
527	C₂²×D₄	—	4	2	no	—
528	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
529	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
530	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
531	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
532	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
533	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
534	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
535	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
536	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
537	C₂³×C₄	—	2	2	no	—
538	C₂³×C₄	—	2	2	no	—
539	C₂³×C₄	—	2	2	no	—
540	C₂³×C₄	—	2	2	no	—
541	C₂³×C₄	—	4	1	no	—
542	C₂³×C₄	—	4	1	no	—
543	C₂³×C₄	—	4	1	no	—
544	C₂³×C₄	—	4	1	no	—
545	C₂³×C₄	—	4	1	no	—
546	C₂³×C₄	—	4	1	no	—
547	C₂³×C₄	—	4	1	no	—
548	C₂³×C₄	—	4	1	no	—
549	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
550	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
551	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
552	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
553	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
554	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
555	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
556	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
557	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
558	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
559	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
560	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
561	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
562	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
563	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
564	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
565	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
566	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
567	C₂³×C₄	C₂⁴	1	1	yes	characteristic
568	C₂³×C₄	C₂⁴	1	1	yes	characteristic
569	C₂³×C₄	C₂⁴	1	1	yes	characteristic
570	C₂³×C₄	C₂⁴	1	1	yes	characteristic
571	C₂³×C₄	C₂⁴	1	1	yes	characteristic
572	C₂³×C₄	C₂⁴	1	1	yes	characteristic
573	C₂×M₁₆	—	2	2	no	—
574	C₂×M₁₆	—	2	2	no	—
575	C₂×M₁₆	—	2	2	no	—
576	C₂×M₁₆	—	2	2	no	—
577	C₂×M₁₆	—	2	2	no	—
578	C₂×M₁₆	—	2	2	no	—
579	C₂×M₁₆	—	4	1	no	—
580	C₂×M₁₆	—	4	1	no	—
581	C₂×M₁₆	—	4	1	no	—
582	C₂×M₁₆	—	4	1	no	—
583	C₂×M₁₆	—	4	1	no	—
584	C₂×M₁₆	—	4	1	no	—
585	C₂×M₁₆	—	4	1	no	—
586	C₂×M₁₆	—	4	1	no	—
587	C₂×M₁₆	—	4	1	no	—
588	C₂×M₁₆	—	4	1	no	—
589	C₂×M₁₆	—	4	1	no	—
590	C₂×M₁₆	C₂×D₄	1	4	yes	—
591	C₂²×C₈	—	2	2	no	—
592	C₂²×C₈	—	2	2	no	—
593	C₂²×C₈	—	2	2	no	—
594	C₂²×C₈	—	2	2	no	—
595	C₂²×C₈	—	2	2	no	—
596	C₂²×C₈	—	2	2	no	—
597	C₂²×C₈	—	2	2	no	—
598	C₂²×C₈	—	2	2	no	—
599	C₂²×C₈	—	2	2	no	—
600	C₂²×C₈	—	4	1	no	—
601	C₂²×C₈	—	4	1	no	—
602	C₂²×C₈	—	4	1	no	—
603	C₂²×C₈	—	4	1	no	—
604	C₂²×C₈	—	4	1	no	—
605	C₂²×C₈	—	4	1	no	—
606	C₂²×C₈	—	4	1	no	—
607	C₂²×C₈	—	4	1	no	—
608	C₂²×C₈	—	4	1	no	—
609	C₂²×C₈	—	4	1	no	—
610	C₂²×C₈	—	4	1	no	—
611	C₂²×C₈	—	4	1	no	—
612	C₂²×C₈	—	4	1	no	—
613	C₂²×C₈	—	4	1	no	—
614	C₂²×C₈	C₂×D₄	1	4	yes	—
615	C₂²×C₈	C₂⁴	1	1	yes	characteristic
616	C₂²×C₈	C₂⁴	1	1	yes	characteristic
617	C₂²×C₈	C₂⁴	1	1	yes	characteristic
618	C₂²×C₈	C₂⁴	1	1	yes	characteristic
619	C₂²×C₈	C₂⁴	1	1	yes	characteristic
620	C₂²×C₈	C₂⁴	1	1	yes	characteristic
621	C₂²×C₈	C₂⁴	1	1	yes	characteristic
622	C₂²×C₈	C₂⁴	1	1	yes	characteristic
623	C₂²×C₈	C₂⁴	1	1	yes	characteristic
624	C₂²×C₈	C₂⁴	1	1	yes	characteristic
625	C₂²×C₈	C₂⁴	1	1	yes	characteristic
626	C₂²×C₈	C₂⁴	1	1	yes	characteristic
627	C₂²×C₈	C₂⁴	1	1	yes	characteristic
628	C₂²×C₈	C₂⁴	1	1	yes	characteristic
629	C₂²×C₈	C₂⁴	1	1	yes	characteristic
630	C₂²×C₈	C₂⁴	1	1	yes	characteristic
631	#124	—	2	4	no	—
632	#123	—	2	4	no	—
633	#123	—	2	4	no	—
634	C₂²⋊Q₈	—	2	4	no	—
635	#121	—	2	4	no	—
636	#121	—	2	4	no	—
637	#121	—	2	4	no	—
638	#120	—	2	4	no	—
639	#120	M₁₆	1	8	yes	complemented
640	C₄×Q₈	—	2	4	no	—
641	C₄×Q₈	—	2	2	no	—
642	C₄×Q₈	—	2	2	no	—
643	C₄×D₄	—	2	4	no	—
644	C₄×D₄	—	2	4	no	—
645	C₄×D₄	—	2	4	no	—
646	C₄×D₄	—	2	2	no	—
647	C₄×D₄	—	2	2	no	—
648	C₄×D₄	—	2	2	no	—
649	C₄×D₄	—	2	2	no	—
650	C₄×D₄	—	2	2	no	—
651	C₄×D₄	—	2	2	no	—
652	C₄×D₄	—	2	2	no	—
653	C₄×D₄	—	2	2	no	—
654	C₄×D₄	—	2	4	no	—
655	C₄×D₄	—	2	4	no	—
656	C₄×D₄	—	2	4	no	—
657	C₄×D₄	—	2	4	no	—
658	C₄×D₄	—	2	4	no	—
659	C₄×D₄	—	2	4	no	—
660	C₄×D₄	—	2	2	no	—
661	C₄×D₄	—	2	2	no	—
662	C₄×D₄	—	4	2	no	—
663	C₄×D₄	—	4	1	no	—
664	C₄×D₄	—	4	1	no	—
665	C₄×D₄	—	4	1	no	—
666	C₄×D₄	—	4	1	no	—
667	C₄×D₄	—	4	1	no	—
668	C₄×D₄	—	4	1	no	—
669	C₄×D₄	—	4	2	no	—
670	C₄×D₄	C₂×D₄	1	4	yes	—
671	C₄×D₄	#41	1	4	yes	—
672	#117	—	2	4	no	—
673	#117	—	2	4	no	—
674	#117	—	2	4	no	—
675	C₂×C₄⋊C₄	—	2	4	no	—
676	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	—	2	4	no	—
697	C₂×C₂²⋊C₄	—	2	4	no	—
698	C₂×C₂²⋊C₄	—	2	4	no	—
699	C₂×C₂²⋊C₄	—	2	4	no	—
700	C₂×C₂²⋊C₄	—	4	2	no	—
701	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
728	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
744	C₂×C₄²	—	2	2	no	—
745	C₂×C₄²	—	2	2	no	—
746	C₂×C₄²	—	2	2	no	—
747	C₂×C₄²	—	2	2	no	—
748	C₂×C₄²	—	2	2	no	—
749	C₂×C₄²	—	2	2	no	—
750	C₂×C₄²	—	2	2	no	—
751	C₂×C₄²	—	2	2	no	—
752	C₂×C₄²	—	4	1	no	—
753	C₂×C₄²	—	4	1	no	—
754	C₂×C₄²	—	4	1	no	—
755	C₂×C₄²	—	4	1	no	—
756	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
763	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
764	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
765	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
766	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
767	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
768	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
769	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
770	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
771	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
772	C₂×C₄²	C₂⁴	1	1	yes	characteristic
773	C₂×C₄²	C₂⁴	1	1	yes	characteristic
774	C₂×C₄²	C₂⁴	1	1	yes	characteristic
775	C₂×C₄²	C₂⁴	1	1	yes	characteristic
776	C₂×C₄²	C₂⁴	1	1	yes	characteristic
777	C₂×C₄²	C₂⁴	1	1	yes	characteristic
778	C₂×C₄²	C₂⁴	1	1	yes	characteristic
779	C₂×C₄²	C₂⁴	1	1	yes	characteristic
780	C₂×C₄²	C₂⁴	1	1	yes	characteristic
781	C₄⋊C₈	—	2	2	no	—
782	C₄⋊C₈	—	2	2	no	—
783	C₄⋊C₈	—	2	2	no	—
784	C₄⋊C₈	—	2	2	no	—
785	C₄⋊C₈	—	2	2	no	—
786	C₄⋊C₈	—	2	2	no	—
787	C₄⋊C₈	—	2	2	no	—
788	C₄⋊C₈	—	2	2	no	—
789	C₄⋊C₈	—	2	2	no	—
790	C₄⋊C₈	—	2	2	no	—
791	C₄⋊C₈	—	2	2	no	—
792	C₄⋊C₈	—	2	2	no	—
793	C₄⋊C₈	—	4	1	no	—
794	C₄⋊C₈	—	4	1	no	—
795	C₄⋊C₈	—	4	1	no	—
796	C₄⋊C₈	—	4	1	no	—
797	C₄⋊C₈	—	4	1	no	—
798	C₄⋊C₈	—	4	1	no	—
799	C₄⋊C₈	—	4	1	no	—
800	C₄⋊C₈	C₂×D₄	1	4	yes	—
801	C₂²⋊C₈	—	2	2	no	—
802	C₂²⋊C₈	—	2	2	no	—
803	C₂²⋊C₈	—	2	2	no	—
804	C₂²⋊C₈	—	2	2	no	—
805	C₂²⋊C₈	—	2	2	no	—
806	C₂²⋊C₈	—	2	2	no	—
807	C₂²⋊C₈	—	2	2	no	—
808	C₂²⋊C₈	—	2	2	no	—
809	C₂²⋊C₈	—	2	2	no	—
810	C₂²⋊C₈	—	2	2	no	—
811	C₂²⋊C₈	—	2	2	no	—
812	C₂²⋊C₈	—	2	2	no	—
813	C₂²⋊C₈	—	2	2	no	—
814	C₂²⋊C₈	—	2	2	no	—
815	C₂²⋊C₈	—	2	2	no	—
816	C₂²⋊C₈	—	2	2	no	—
817	C₂²⋊C₈	—	2	2	no	—
818	C₂²⋊C₈	—	2	2	no	—
819	C₂²⋊C₈	—	2	2	no	—
820	C₂²⋊C₈	—	4	1	no	—
821	C₂²⋊C₈	—	4	1	no	—
822	C₂²⋊C₈	—	4	1	no	—
823	C₂²⋊C₈	—	4	1	no	—
824	C₂²⋊C₈	—	4	1	no	—
825	C₂²⋊C₈	—	4	1	no	—
826	C₂²⋊C₈	—	4	1	no	—
827	C₂²⋊C₈	—	4	1	no	—
828	C₂²⋊C₈	—	4	1	no	—
829	C₂²⋊C₈	—	4	1	no	—
830	C₂²⋊C₈	—	4	1	no	—
831	C₂²⋊C₈	—	4	1	no	—
832	C₂²⋊C₈	—	4	1	no	—
833	C₂²⋊C₈	C₂×D₄	1	4	yes	—
834	C₂²⋊C₈	C₂×D₄	1	4	yes	—
835	#97	—	2	2	no	—
836	#97	—	2	2	no	—
837	#97	—	2	2	no	—
838	#97	—	2	2	no	—
839	#97	—	2	2	no	—
840	#97	—	2	2	no	—
841	#97	—	2	2	no	—
842	#97	—	2	2	no	—
843	#97	—	2	2	no	—
844	#97	—	2	2	no	—
845	#97	—	2	2	no	—
846	#97	—	4	1	no	—
847	#97	—	4	1	no	—
848	#97	C₂×D₄	1	4	yes	—
849	C₄×C₈	—	2	2	no	—
850	C₄×C₈	—	2	2	no	—
851	C₄×C₈	—	4	1	no	—
852	C₄×C₈	—	4	1	no	—
853	C₄×C₈	—	4	1	no	—
854	C₄×C₈	—	4	1	no	—
855	#95	C₂²×C₄	1	1	yes	characteristic
856	#95	C₂²×C₄	1	1	yes	characteristic
857	#95	C₂²×C₄	1	1	yes	characteristic
858	#95	C₂²×C₄	1	1	yes	characteristic
859	#95	C₂²×C₄	1	1	yes	characteristic
860	#95	C₂²×C₄	1	1	yes	characteristic
861	#95	C₂²×C₄	1	1	yes	characteristic
862	#95	C₂²×C₄	1	1	yes	characteristic
863	#95	C₂²×C₄	1	1	yes	characteristic
864	#95	C₂²×C₄	1	1	yes	characteristic
865	#95	C₂²×C₄	1	1	yes	characteristic
866	#95	C₂²×C₄	1	1	yes	characteristic
867	#95	C₂²×C₄	1	1	yes	characteristic
868	#95	C₂²×C₄	1	1	yes	characteristic
869	#95	C₂²×C₄	1	1	yes	characteristic
870	#95	C₂²×C₄	1	1	yes	characteristic
871	#95	C₂²×C₄	1	1	yes	characteristic
872	#95	C₂²×C₄	1	1	yes	characteristic
873	#95	C₂²×C₄	1	1	yes	characteristic
874	#95	C₂²×C₄	1	1	yes	characteristic
875	#95	C₂²×C₄	1	1	yes	characteristic
876	#95	C₂²×C₄	1	1	yes	characteristic
877	#95	C₂²×C₄	1	1	yes	characteristic
878	#95	C₂²×C₄	1	1	yes	characteristic
879	#95	C₂²×C₄	1	1	yes	characteristic
880	#95	C₂²×C₄	1	1	yes	characteristic
881	#95	C₂²×C₄	1	1	yes	characteristic
882	#95	C₂²×C₄	1	1	yes	characteristic
883	#95	C₂²×C₄	1	1	yes	characteristic
884	#95	C₂²×C₄	1	1	yes	characteristic
885	#95	C₂²×C₄	1	1	yes	characteristic
886	#95	C₂²×C₄	1	1	yes	characteristic
887	C₂⁴	—	2	2	no	—
888	C₂⁴	—	2	2	no	—
889	C₂⁴	—	2	2	no	—
890	C₂⁴	—	2	2	no	—
891	C₂⁴	—	4	1	no	—
892	C₂⁴	—	4	1	no	—
893	C₂⁴	—	4	1	no	—
894	C₂⁴	—	4	1	no	—
895	C₂⁴	—	4	1	no	—
896	C₂⁴	—	4	1	no	—
897	C₂⁴	—	4	1	no	—
898	C₂⁴	—	4	1	no	—
899	C₂⁴	—	4	1	no	—
900	C₂⁴	C₂×M₁₆	1	4	yes	—
901	C₂⁴	C₂³×C₄	1	1	yes	characteristic
902	C₂⁴	C₂³×C₄	1	1	yes	characteristic
903	C₂⁴	C₂³×C₄	1	1	yes	characteristic
904	C₂⁴	C₂³×C₄	1	1	yes	characteristic
905	C₂⁴	C₂³×C₄	1	1	yes	characteristic
906	C₂⁴	C₂³×C₄	1	1	yes	characteristic
907	#41	—	4	16	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	—	2	2	no	—
910	C₂×Q₈	—	4	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	4	1	no	—
926	C₂×D₄	—	4	1	no	—
927	C₂×D₄	—	4	1	no	—
928	C₂×D₄	—	4	1	no	—
929	C₂×D₄	—	4	1	no	—
930	C₂×D₄	—	4	1	no	—
931	C₂×D₄	—	4	1	no	—
932	C₂×D₄	—	4	1	no	—
933	C₂×D₄	—	4	1	no	—
934	C₂×D₄	—	4	16	no	—
935	C₂×D₄	C₄×D₄	1	4	yes	—
936	C₂×D₄	C₂×M₁₆	1	4	yes	—
937	C₂×D₄	C₂×M₁₆	1	4	yes	—
938	C₂×D₄	C₂×M₁₆	1	4	yes	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	1	no	—
964	C₂²×C₄	—	2	1	no	—
965	C₂²×C₄	—	2	1	no	—
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	1	no	—
978	C₂²×C₄	—	2	1	no	—
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	1	no	—
981	C₂²×C₄	—	2	1	no	—
982	C₂²×C₄	—	2	1	no	—
983	C₂²×C₄	—	2	1	no	—
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	—	2	1	no	—
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	4	1	no	—
996	C₂²×C₄	—	4	1	no	—
997	C₂²×C₄	—	4	1	no	—
998	C₂²×C₄	—	4	1	no	—
999	C₂²×C₄	—	4	1	no	—
1000	C₂²×C₄	—	4	1	no	—
1001	C₂²×C₄	—	4	1	no	—
1002	C₂²×C₄	—	4	1	no	—
1003	C₂²×C₄	—	4	1	no	—
1004	C₂²×C₄	—	4	1	no	—
1005	C₂²×C₄	—	4	1	no	—
1006	C₂²×C₄	—	4	1	no	—
1007	C₂²×C₄	—	4	1	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	1	no	—
1012	C₂²×C₄	—	4	1	no	—
1013	C₂²×C₄	—	4	1	no	—
1014	C₂²×C₄	—	4	1	no	—
1015	C₂²×C₄	—	4	1	no	—
1016	C₂²×C₄	—	4	1	no	—
1017	C₂²×C₄	—	4	1	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	4	1	no	—
1020	C₂²×C₄	—	4	1	no	—
1021	C₂²×C₄	—	4	1	no	—
1022	C₂²×C₄	—	4	1	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	4	1	no	—
1025	C₂²×C₄	—	8	2	no	—
1026	C₂²×C₄	—	8	2	no	—
1027	C₂²×C₄	—	8	2	no	—
1028	C₂²×C₄	—	8	2	no	—
1029	C₂²×C₄	—	8	2	no	—
1030	C₂²×C₄	—	8	2	no	—
1031	C₂²×C₄	—	8	2	no	—
1032	C₂²×C₄	—	8	2	no	—
1033	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1057	C₂²×C₄	C₂²×D₄	1	2	yes	—
1058	C₂²×C₄	C₂²×D₄	1	2	yes	—
1059	C₂²×C₄	C₂×#41	1	2	yes	—
1060	C₂²×C₄	C₂×#41	1	2	yes	—
1061	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1062	M₁₆	—	4	4	no	—
1063	M₁₆	—	4	4	no	—
1064	M₁₆	—	8	2	no	—
1065	M₁₆	—	8	2	no	—
1066	M₁₆	—	8	2	no	—
1067	M₁₆	—	8	2	no	—
1068	C₂×C₈	—	2	1	no	—
1069	C₂×C₈	—	2	1	no	—
1070	C₂×C₈	—	2	1	no	—
1071	C₂×C₈	—	2	1	no	—
1072	C₂×C₈	—	2	1	no	—
1073	C₂×C₈	—	2	1	no	—
1074	C₂×C₈	—	2	1	no	—
1075	C₂×C₈	—	2	1	no	—
1076	C₂×C₈	—	2	1	no	—
1077	C₂×C₈	—	2	1	no	—
1078	C₂×C₈	—	2	1	no	—
1079	C₂×C₈	—	2	1	no	—
1080	C₂×C₈	—	2	1	no	—
1081	C₂×C₈	—	2	1	no	—
1082	C₂×C₈	—	2	1	no	—
1083	C₂×C₈	—	2	1	no	—
1084	C₂×C₈	—	2	1	no	—
1085	C₂×C₈	—	2	1	no	—
1086	C₂×C₈	—	2	1	no	—
1087	C₂×C₈	—	2	1	no	—
1088	C₂×C₈	—	2	1	no	—
1089	C₂×C₈	—	2	1	no	—
1090	C₂×C₈	—	2	1	no	—
1091	C₂×C₈	—	2	1	no	—
1092	C₂×C₈	—	2	1	no	—
1093	C₂×C₈	—	2	1	no	—
1094	C₂×C₈	—	2	1	no	—
1095	C₂×C₈	—	2	1	no	—
1096	C₂×C₈	—	2	1	no	—
1097	C₂×C₈	—	2	1	no	—
1098	C₂×C₈	—	2	1	no	—
1099	C₂×C₈	—	2	1	no	—
1100	C₂×C₈	—	2	1	no	—
1101	C₂×C₈	—	2	1	no	—
1102	C₂×C₈	—	2	1	no	—
1103	C₂×C₈	—	2	1	no	—
1104	C₂×C₈	—	2	1	no	—
1105	C₂×C₈	—	2	1	no	—
1106	C₂×C₈	—	2	1	no	—
1107	C₂×C₈	—	2	1	no	—
1108	C₂×C₈	—	2	1	no	—
1109	C₂×C₈	—	2	1	no	—
1110	C₂×C₈	—	2	1	no	—
1111	C₂×C₈	—	4	4	no	—
1112	C₂×C₈	—	4	4	no	—
1113	C₂×C₈	—	4	4	no	—
1114	C₂×C₈	—	4	4	no	—
1115	C₂×C₈	—	8	2	no	—
1116	C₂×C₈	—	8	2	no	—
1117	C₂×C₈	—	8	2	no	—
1118	C₂×C₈	—	8	2	no	—
1119	C₂×C₈	C₂²×D₄	1	2	yes	—
1120	C₂×C₈	C₂²×D₄	1	2	yes	—
1121	C₂×C₈	C₂²×D₄	1	2	yes	—
1122	C₂×C₈	C₂²×D₄	1	2	yes	—
1123	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	2	2	no	—
1129	C₄⋊C₄	—	2	2	no	—
1130	C₄⋊C₄	—	2	2	no	—
1131	C₄⋊C₄	—	2	2	no	—
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₄⋊C₄	—	4	1	no	—
1139	C₄⋊C₄	—	4	1	no	—
1140	C₄⋊C₄	—	4	1	no	—
1141	C₄⋊C₄	—	4	1	no	—
1142	C₄⋊C₄	—	4	1	no	—
1143	C₄⋊C₄	C₄×D₄	1	4	yes	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	2	2	no	—
1146	C₂²⋊C₄	—	2	2	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	2	2	no	—
1149	C₂²⋊C₄	—	2	2	no	—
1150	C₂²⋊C₄	—	2	2	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	2	no	—
1156	C₂²⋊C₄	—	2	2	no	—
1157	C₂²⋊C₄	—	2	2	no	—
1158	C₂²⋊C₄	—	2	2	no	—
1159	C₂²⋊C₄	—	2	2	no	—
1160	C₂²⋊C₄	—	2	2	no	—
1161	C₂²⋊C₄	—	2	2	no	—
1162	C₂²⋊C₄	—	2	2	no	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1182	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1183	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1184	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1185	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1186	C₄²	—	2	2	no	—
1187	C₄²	—	2	2	no	—
1188	C₄²	—	2	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	2	no	—
1191	C₄²	—	2	2	no	—
1192	C₄²	—	2	2	no	—
1193	C₄²	—	2	2	no	—
1194	C₄²	—	2	2	no	—
1195	C₄²	—	2	2	no	—
1196	C₄²	—	2	1	no	—
1197	C₄²	—	2	1	no	—
1198	C₄²	—	2	1	no	—
1199	C₄²	—	2	1	no	—
1200	C₄²	—	2	1	no	—
1201	C₄²	—	2	1	no	—
1202	C₄²	—	2	1	no	—
1203	C₄²	—	2	1	no	—
1204	C₄²	—	2	1	no	—
1205	C₄²	—	2	1	no	—
1206	C₄²	—	2	1	no	—
1207	C₄²	—	2	1	no	—
1208	C₄²	—	2	1	no	—
1209	C₄²	—	2	1	no	—
1210	C₄²	—	2	1	no	—
1211	C₄²	—	2	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	C₂²×D₄	1	2	yes	—
1219	C₄²	C₂×#41	1	2	yes	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	1	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	8	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	4	4	no	—
1257	C₂³	—	4	4	no	—
1258	C₂³	—	4	4	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	8	2	no	—
1261	C₂³	—	8	2	no	—
1262	C₂³	—	8	2	no	—
1263	C₂³	—	8	2	no	—
1264	C₂³	—	8	2	no	—
1265	C₂³	—	8	2	no	—
1266	C₂³	—	8	2	no	—
1267	C₂³	—	8	2	no	—
1268	C₂³	—	8	2	no	—
1269	C₂³	C₂×C₄×D₄	1	2	yes	—
1270	C₂³	C₂×C₄×D₄	1	2	yes	—
1271	C₂³	C₂²×M₁₆	1	2	yes	—
1272	C₂³	C₂²×M₁₆	1	2	yes	—
1273	C₂³	C₂²×M₁₆	1	2	yes	—
1274	C₂³	C₂²×M₁₆	1	2	yes	—
1275	C₂³	#568	1	2	yes	—
1276	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1277	Q₈	—	4	4	no	—
1278	D₄	—	2	8	no	—
1279	D₄	—	2	8	no	—
1280	D₄	—	4	4	no	—
1281	D₄	—	4	4	no	—
1282	D₄	—	4	4	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	4	no	—
1285	D₄	—	4	4	no	—
1286	D₄	—	8	2	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	1	no	—
1365	C₂×C₄	—	4	1	no	—
1366	C₂×C₄	—	4	1	no	—
1367	C₂×C₄	—	4	1	no	—
1368	C₂×C₄	—	4	1	no	—
1369	C₂×C₄	—	4	1	no	—
1370	C₂×C₄	—	4	1	no	—
1371	C₂×C₄	—	4	1	no	—
1372	C₂×C₄	—	4	1	no	—
1373	C₂×C₄	—	4	1	no	—
1374	C₂×C₄	—	4	1	no	—
1375	C₂×C₄	—	4	1	no	—
1376	C₂×C₄	—	4	1	no	—
1377	C₂×C₄	—	4	1	no	—
1378	C₂×C₄	—	4	1	no	—
1379	C₂×C₄	—	4	1	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	—	8	2	no	—
1383	C₂×C₄	—	8	2	no	—
1384	C₂×C₄	—	8	2	no	—
1385	C₂×C₄	—	8	2	no	—
1386	C₂×C₄	—	8	2	no	—
1387	C₂×C₄	—	8	2	no	—
1388	C₂×C₄	—	8	2	no	—
1389	C₂×C₄	—	8	2	no	—
1390	C₂×C₄	—	8	2	no	—
1391	C₂×C₄	—	8	2	no	—
1392	C₂×C₄	—	8	2	no	—
1393	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1394	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1395	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1396	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1397	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1398	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1399	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1400	C₂×C₄	#568	1	2	yes	—
1401	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1402	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1403	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1404	C₂×C₄	#585	1	1	yes	characteristic
1405	C₂×C₄	#585	1	1	yes	characteristic
1406	C₂×C₄	#585	1	1	yes	characteristic
1407	C₈	—	2	2	no	—
1408	C₈	—	2	2	no	—
1409	C₈	—	2	2	no	—
1410	C₈	—	2	2	no	—
1411	C₈	—	2	2	no	—
1412	C₈	—	4	1	no	—
1413	C₈	—	4	1	no	—
1414	C₈	—	4	1	no	—
1415	C₈	—	4	1	no	—
1416	C₈	—	4	1	no	—
1417	C₈	—	4	1	no	—
1418	C₈	—	4	1	no	—
1419	C₈	—	4	1	no	—
1420	C₈	—	4	1	no	—
1421	C₈	—	4	1	no	—
1422	C₈	—	4	1	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	2	2	no	—
1432	C₂²	—	2	2	no	—
1433	C₂²	—	2	2	no	—
1434	C₂²	—	2	2	no	—
1435	C₂²	—	2	2	no	—
1436	C₂²	—	2	2	no	—
1437	C₂²	—	2	2	no	—
1438	C₂²	—	2	2	no	—
1439	C₂²	—	2	2	no	—
1440	C₂²	—	2	2	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	—	4	1	no	—
1448	C₂²	—	4	1	no	—
1449	C₂²	—	4	1	no	—
1450	C₂²	—	4	1	no	—
1451	C₂²	—	4	1	no	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	8	8	no	—
1465	C₂²	—	8	8	no	—
1466	C₂²	D₄×M₁₆	1	4	yes	—
1467	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1468	C₂²	#3428	1	1	yes	characteristic
1469	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1470	C₂²	C₂³×M₁₆	1	1	yes	characteristic
1471	C₂²	C₂×#568	1	1	yes	characteristic
1472	C₂²	C₂×#568	1	1	yes	characteristic
1473	C₂²	#3573	1	1	yes	characteristic
1474	C₄	—	2	2	no	—
1475	C₄	—	2	2	no	—
1476	C₄	—	2	2	no	—
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	4	1	no	—
1483	C₄	—	4	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₄	—	4	1	no	—
1488	C₄	—	4	1	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	#3485	1	1	yes	characteristic
1499	C₄	#3488	1	1	yes	characteristic
1500	C₄	#3514	1	1	yes	characteristic
1501	C₄	#3521	1	1	yes	characteristic
1502	C₂	—	2	4	no	—
1503	C₂	—	4	2	no	—
1504	C₂	—	4	2	no	—
1505	C₂	—	4	2	no	—
1506	C₂	—	4	2	no	—
1507	C₂	—	8	1	no	—
1508	C₂	#34292	1	1	yes	characteristic
1509	C₂	C₂×D₄×M₁₆	1	1	yes	characteristic
1510	C₂	#60147	1	1	yes	characteristic
1511	C₂	#60282	1	1	yes	characteristic
1512	C₂	#60299	1	1	yes	characteristic
1513	C₂	#60309	1	1	yes	characteristic
1514	C₂	#60314	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#546	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×#2973	C₂	semidirect
2. C₂×#2970	C₂	semidirect
4. #23206	C₂	semidirect
5. #23086	C₂	semidirect
6. #23053	C₂	semidirect
7. #22987	C₂	semidirect
8. #22986	C₂	semidirect
9. #22912	C₂	semidirect
10. #22910	C₂	semidirect
11. #22850	C₂	semidirect
12. #22842	C₂	semidirect
13. #22799	C₂	semidirect
14. #22648	C₂	semidirect
15. #22555	C₂	semidirect
16. #22554	C₂	semidirect
17. #22471	C₂	semidirect
18. #22399	C₂	semidirect
19. #22216	C₂	semidirect
20. #22172	C₂	semidirect
21. #22170	C₂	semidirect
22. #22108	C₂	semidirect
23. #22036	C₂	semidirect
24. #22028	C₂	semidirect
25. #21564	C₂	semidirect
26. #21562	C₂	semidirect
27. #21489	C₂	semidirect
28. #21107	C₂	semidirect
29. #21049	C₂	semidirect
30. C₂×#1924	C₂	semidirect
31. #20559	C₂	semidirect
37. C₂×#446	C₂²	semidirect
38. C₂×#446	C₂²	semidirect
49. C₂×#435	C₂²	semidirect
50. C₂×#435	C₂²	semidirect
51. C₂×#435	C₂²	semidirect
52. C₂×C₈×D₄	C₂²	semidirect
53. C₂×C₈×D₄	C₂²	semidirect
54. C₂×C₈×D₄	C₂²	semidirect
57. C₂×#432	C₂²	semidirect
58. C₂×#432	C₂²	semidirect
59. C₂×#432	C₂²	semidirect
60. C₂×#423	C₂²	semidirect
61. C₂²×C₄⋊C₈	C₂²	semidirect
68. C₂×C₄×M₁₆	C₂²	semidirect
69. C₂²×#97	C₂²	semidirect
70. C₂²×#97	C₂²	semidirect
99. #1985	C₂²	semidirect
100. #1985	C₂²	semidirect
103. #1955	C₂²	semidirect
106. #1954	C₂²	semidirect
107. #1940	C₂²	semidirect
108. #1940	C₂²	semidirect
109. #1940	C₂²	semidirect
110. #1939	C₂²	semidirect
119. #1924	C₂²	semidirect
120. #1924	C₂²	semidirect
121. #1924	C₂²	semidirect
122. #1924	C₂²	semidirect
123. #1924	C₂²	semidirect
124. #1924	C₂²	semidirect
125. #1924	C₂²	semidirect
126. #1924	C₂²	semidirect
127. #1924	C₂²	semidirect
132. #1923	C₂²	semidirect
133. #1923	C₂²	semidirect
134. #1923	C₂²	semidirect
135. #1923	C₂²	semidirect
136. #1923	C₂²	semidirect
137. #1917	C₂²	semidirect
138. #1917	C₂²	semidirect
139. #1917	C₂²	semidirect
140. #1917	C₂²	semidirect
141. #1917	C₂²	semidirect
142. #1916	C₂²	semidirect
145. #1870	C₂²	semidirect
146. #1870	C₂²	semidirect
147. #1870	C₂²	semidirect
152. #1869	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1869	C₂²	semidirect
156. #1869	C₂²	semidirect
157. #1851	C₂²	semidirect
158. #1851	C₂²	semidirect
159. #1851	C₂²	semidirect
160. #1851	C₂²	semidirect
161. #1851	C₂²	semidirect
162. #1850	C₂²	semidirect
163. #1850	C₂²	semidirect
164. #1850	C₂²	semidirect
165. #1850	C₂²	semidirect
166. #1850	C₂²	semidirect
167. #1850	C₂²	semidirect
168. #1850	C₂²	semidirect
169. #1842	C₂²	semidirect
170. #1817	C₂²	semidirect
171. #1817	C₂²	semidirect
173. #1797	C₂²	semidirect
174. #1797	C₂²	semidirect
175. #1797	C₂²	semidirect
178. #1771	C₂²	semidirect
179. #1771	C₂²	semidirect
180. #1771	C₂²	semidirect
181. #1770	C₂²	semidirect
182. #1770	C₂²	semidirect
183. #1770	C₂²	semidirect
184. #1767	C₂²	semidirect
185. C₄×C₄⋊C₈	C₂²	semidirect
186. #1753	C₂²	semidirect
187. #1753	C₂²	semidirect
188. #1753	C₂²	semidirect
189. #1753	C₂²	semidirect
190. #1753	C₂²	semidirect
191. #1752	C₂²	semidirect
192. #1752	C₂²	semidirect
193. C₈×C₂²⋊C₄	C₂²	semidirect
194. C₈×C₂²⋊C₄	C₂²	semidirect
195. C₈×C₂²⋊C₄	C₂²	semidirect
197. #1749	C₂²	semidirect
198. #1749	C₂²	semidirect
199. C₄×C₂²⋊C₈	C₂²	semidirect
200. #1745	C₂²	semidirect
201. #1728	C₂²	semidirect
202. #1728	C₂²	semidirect
203. C₂×#336	C₂²	semidirect
204. C₂×#336	C₂²	semidirect
289. #435	D₄	semidirect
639. #120	M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2973	2
C₂×#2970	2
C₄×#546	2
#23206	2
#23086	2
#23053	2
#22987	2
#22986	2
#22912	2
#22910	2
#22850	2
#22842	2
#22799	2
#22648	2
#22555	2
#22554	2
#22471	2
#22399	2
#22216	2
#22172	2
#22170	2
#22108	2
#22036	2
#22028	2
#21564	2
#21562	2
#21489	2
#21107	2
#21049	2
C₂×#1924	2
#20559	2