Subgroups — #6423720

Order 512.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#546	C₂	1	1	yes	maximal, characteristic
2	#23334	C₂	1	1	yes	maximal, characteristic, complemented
3	#23329	C₂	1	1	yes	maximal, characteristic, complemented
4	#23309	C₂	1	1	yes	maximal, characteristic, complemented
5	#23308	C₂	1	1	yes	maximal, characteristic, complemented
6	#23300	C₂	1	1	yes	maximal, characteristic, complemented
7	#23296	C₂	1	1	yes	maximal, characteristic, complemented
8	#23207	C₂	1	1	yes	maximal, characteristic, complemented
9	#23085	C₂	1	1	yes	maximal, characteristic, complemented
10	#23053	C₂	1	1	yes	maximal, characteristic, complemented
11	#22797	C₂	1	1	yes	maximal, characteristic, complemented
12	#22797	C₂	1	1	yes	maximal, characteristic, complemented
13	#22555	C₂	1	1	yes	maximal, characteristic, complemented
14	#22552	C₂	1	1	yes	maximal, characteristic, complemented
15	#22532	C₂	1	1	yes	maximal, characteristic, complemented
16	#22399	C₂	1	1	yes	maximal, characteristic, complemented
17	#22369	C₂	1	1	yes	maximal, characteristic, complemented
18	#22361	C₂	1	1	yes	maximal, characteristic, complemented
19	#22216	C₂	1	1	yes	maximal, characteristic, complemented
20	#22141	C₂	1	1	yes	maximal, characteristic, complemented
21	#22139	C₂	1	1	yes	maximal, characteristic, complemented
22	#22108	C₂	1	1	yes	maximal, characteristic, complemented
23	#22038	C₂	1	1	yes	maximal, characteristic, complemented
24	#22034	C₂	1	1	yes	maximal, characteristic, complemented
25	#22014	C₂	1	1	yes	maximal, characteristic, complemented
26	#21904	C₂	1	1	yes	maximal, characteristic, complemented
27	#21902	C₂	1	1	yes	maximal, characteristic, complemented
28	#21790	C₂	1	1	yes	maximal, characteristic, complemented
29	#21490	C₂	1	1	yes	maximal, characteristic, complemented
30	#21374	C₂	1	1	yes	maximal, characteristic, complemented
31	#21108	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	C₂×#446	C₂²	1	1	yes	characteristic, complemented
36	C₂×#446	C₂²	1	1	yes	characteristic, complemented
37	C₂×#436	C₂²	1	1	yes	characteristic, complemented
38	C₂×#435	C₂²	1	1	yes	characteristic
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic, complemented
41	C₂×#432	C₂²	1	1	yes	characteristic
42	C₂×#432	C₂²	1	1	yes	characteristic
43	C₂×#432	C₂²	1	1	yes	characteristic, complemented
44	C₂×#431	C₂²	1	1	yes	characteristic, complemented
45	C₂×#431	C₂²	1	1	yes	characteristic, complemented
46	C₂×#407	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
48	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
49	#2367	C₄	1	1	yes	characteristic
50	#2364	C₄	1	1	yes	characteristic
51	#2364	C₄	1	1	yes	characteristic
52	#2363	C₄	1	1	yes	characteristic
53	#2360	C₄	1	1	yes	characteristic
54	#2359	C₄	1	1	yes	characteristic
55	#2359	C₄	1	1	yes	characteristic
56	#2358	C₄	1	1	yes	characteristic
57	#2358	C₄	1	1	yes	characteristic
58	#2352	C₄	1	1	yes	characteristic
59	#2349	C₄	1	1	yes	characteristic
60	#2342	C₄	1	1	yes	characteristic
61	#2342	C₄	1	1	yes	characteristic
62	#2339	C₄	1	1	yes	characteristic
63	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
64	C₄×#124	C₂²	1	1	yes	characteristic
65	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	C₄×#123	C₂²	1	1	yes	characteristic
67	C₄×#123	C₂²	1	1	yes	characteristic
68	C₄×#121	C₂²	1	1	yes	characteristic
69	C₄×#121	C₂²	1	1	yes	characteristic
70	C₄×#121	C₂²	1	1	yes	characteristic
71	C₄×#120	C₂²	1	1	yes	characteristic
72	C₄×#120	C₂²	1	1	yes	characteristic
73	C₄²×D₄	C₂²	1	1	yes	characteristic
74	C₄²×D₄	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
77	#1985	C₂²	1	1	yes	characteristic, complemented
78	#1985	C₂²	1	1	yes	characteristic, complemented
79	#1955	C₂²	1	1	yes	characteristic
80	#1955	C₂²	1	1	yes	characteristic
81	#1955	C₂²	1	1	yes	characteristic
82	#1955	C₂²	1	1	yes	characteristic
83	#1955	C₂²	1	1	yes	characteristic
84	#1955	C₂²	1	1	yes	characteristic
85	#1955	C₂²	1	1	yes	characteristic
86	#1955	C₂²	1	1	yes	characteristic
87	#1955	C₂²	1	1	yes	characteristic
88	#1955	C₂²	1	1	yes	characteristic
89	#1955	C₂²	1	1	yes	characteristic
90	#1955	C₂²	1	1	yes	characteristic
91	#1955	C₂²	1	1	yes	characteristic, complemented
92	#1955	C₂²	1	1	yes	characteristic, complemented
93	#1955	C₂²	1	1	yes	characteristic, complemented
94	#1954	C₂²	1	1	yes	characteristic, complemented
95	#1954	C₂²	1	1	yes	characteristic, complemented
96	#1954	C₂²	1	1	yes	characteristic, complemented
97	#1940	C₂²	1	1	yes	characteristic, complemented
98	#1940	C₂²	1	1	yes	characteristic, complemented
99	#1940	C₂²	1	1	yes	characteristic, complemented
100	#1939	C₂²	1	1	yes	characteristic, complemented
101	#1924	C₂²	1	1	yes	characteristic
102	#1924	C₂²	1	1	yes	characteristic
103	#1924	C₂²	1	1	yes	characteristic
104	#1924	C₂²	1	1	yes	characteristic
105	#1924	C₂²	1	1	yes	characteristic, complemented
106	#1924	C₂²	1	1	yes	characteristic, complemented
107	#1924	C₂²	1	1	yes	characteristic, complemented
108	#1924	C₂²	1	1	yes	characteristic, complemented
109	#1924	C₂²	1	1	yes	characteristic, complemented
110	#1924	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic, complemented
112	#1924	C₂²	1	1	yes	characteristic, complemented
113	#1924	C₂²	1	1	yes	characteristic, complemented
114	#1924	C₂²	1	1	yes	characteristic, complemented
115	#1924	C₂²	1	1	yes	characteristic, complemented
116	#1924	C₂²	1	1	yes	characteristic, complemented
117	#1924	C₂²	1	1	yes	characteristic, complemented
118	#1923	C₂²	1	1	yes	characteristic
119	#1923	C₂²	1	1	yes	characteristic
120	#1923	C₂²	1	1	yes	characteristic
121	#1923	C₂²	1	1	yes	characteristic
122	#1923	C₂²	1	1	yes	characteristic
123	#1923	C₂²	1	1	yes	characteristic
124	#1923	C₂²	1	1	yes	characteristic
125	#1923	C₂²	1	1	yes	characteristic
126	#1923	C₂²	1	1	yes	characteristic, complemented
127	#1923	C₂²	1	1	yes	characteristic, complemented
128	#1923	C₂²	1	1	yes	characteristic, complemented
129	#1923	C₂²	1	1	yes	characteristic, complemented
130	#1923	C₂²	1	1	yes	characteristic, complemented
131	#1923	C₂²	1	1	yes	characteristic, complemented
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	#1917	C₂²	1	1	yes	characteristic, complemented
136	#1917	C₂²	1	1	yes	characteristic, complemented
137	#1917	C₂²	1	1	yes	characteristic, complemented
138	#1916	C₂²	1	1	yes	characteristic, complemented
139	#1916	C₂²	1	1	yes	characteristic, complemented
140	#1916	C₂²	1	1	yes	characteristic, complemented
141	#1870	C₂²	1	1	yes	characteristic
142	#1870	C₂²	1	1	yes	characteristic
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	#1870	C₂²	1	1	yes	characteristic, complemented
149	#1870	C₂²	1	1	yes	characteristic, complemented
150	#1870	C₂²	1	1	yes	characteristic, complemented
151	#1870	C₂²	1	1	yes	characteristic, complemented
152	#1869	C₂²	1	1	yes	characteristic
153	#1869	C₂²	1	1	yes	characteristic
154	#1869	C₂²	1	1	yes	characteristic, complemented
155	#1851	C₂²	1	1	yes	characteristic, complemented
156	#1851	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	#1850	C₂²	1	1	yes	characteristic, complemented
161	#1850	C₂²	1	1	yes	characteristic, complemented
162	#1850	C₂²	1	1	yes	characteristic, complemented
163	#1842	C₂²	1	1	yes	characteristic, complemented
164	#1817	C₂²	1	1	yes	characteristic, complemented
165	#1817	C₂²	1	1	yes	characteristic, complemented
166	#1797	C₂²	1	1	yes	characteristic
167	#1797	C₂²	1	1	yes	characteristic, complemented
168	#1797	C₂²	1	1	yes	characteristic, complemented
169	#1797	C₂²	1	1	yes	characteristic, complemented
170	#1797	C₂²	1	1	yes	characteristic, complemented
171	#1797	C₂²	1	1	yes	characteristic, complemented
172	#1797	C₂²	1	1	yes	characteristic, complemented
173	#1797	C₂²	1	1	yes	characteristic, complemented
174	#1779	C₂²	1	1	yes	characteristic
175	#1779	C₂²	1	1	yes	characteristic
176	#1779	C₂²	1	1	yes	characteristic
177	#1779	C₂²	1	1	yes	characteristic
178	#1779	C₂²	1	1	yes	characteristic
179	#1779	C₂²	1	1	yes	characteristic
180	#1771	C₂²	1	1	yes	characteristic, complemented
181	#1771	C₂²	1	1	yes	characteristic, complemented
182	#1771	C₂²	1	1	yes	characteristic, complemented
183	#1771	C₂²	1	1	yes	characteristic, complemented
184	#1771	C₂²	1	1	yes	characteristic, complemented
185	#1770	C₂²	1	1	yes	characteristic, complemented
186	#1767	C₂²	1	1	yes	characteristic, complemented
187	#1767	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	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	#1749	C₂²	1	1	yes	characteristic
195	#1749	C₂²	1	1	yes	characteristic, complemented
196	#1749	C₂²	1	1	yes	characteristic, complemented
197	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	#1745	C₂²	1	1	yes	characteristic, complemented
203	C₂²×#41	C₂×C₄	1	1	yes	characteristic
204	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
205	C₂⁴×C₄	C₂³	1	1	yes	characteristic
206	C₂⁴×C₄	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	C₂³×C₈	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	#546	—	2	8	no	—
214	C₂×#124	C₂×C₄	1	1	yes	characteristic
215	C₂×#123	C₂×C₄	1	1	yes	characteristic
216	C₂×#123	C₂×C₄	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	C₂×#121	C₂×C₄	1	1	yes	characteristic
219	C₂×#121	C₂×C₄	1	1	yes	characteristic
220	C₂×#121	C₂×C₄	1	1	yes	characteristic
221	C₂×#120	C₂×C₄	1	1	yes	characteristic
222	C₂×#120	C₂×C₄	1	1	yes	characteristic
223	C₄×#41	—	4	2	no	—
224	C₄×#41	—	4	2	no	—
225	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	—	4	2	no	—
228	C₂×C₄×D₄	—	4	2	no	—
229	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
238	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
240	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄	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×C₄×D₄	C₂³	1	1	yes	characteristic
249	C₂×#117	C₂×C₄	1	1	yes	characteristic
250	C₂×#117	C₂×C₄	1	1	yes	characteristic
251	C₂×#117	C₂×C₄	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
253	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
254	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
255	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
256	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
257	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
258	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
259	C₂²×C₄²	C₂³	1	1	yes	characteristic
260	C₂²×C₄²	C₂³	1	1	yes	characteristic
261	C₂²×C₄²	C₂³	1	1	yes	characteristic
262	C₂²×C₄²	C₂³	1	1	yes	characteristic
263	C₂²×C₄²	C₂³	1	1	yes	characteristic
264	C₂²×C₄²	C₂³	1	1	yes	characteristic
265	#446	—	4	2	no	—
266	#446	—	4	2	no	—
267	#436	—	4	2	no	—
268	#435	—	4	2	no	—
269	#435	—	4	2	no	—
270	#435	—	4	2	no	—
271	#432	—	4	2	no	—
272	#432	—	4	2	no	—
273	#432	—	4	2	no	—
274	#431	—	4	2	no	—
275	#431	—	4	2	no	—
276	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
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	#407	—	4	2	no	—
297	C₂×C₂²⋊C₈	—	4	2	no	—
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₄×M₁₆	—	4	2	no	—
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×#97	C₂³	1	1	yes	characteristic
352	C₂×#97	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	#391	C₂×C₄	1	1	yes	characteristic
362	#391	C₂×C₄	1	1	yes	characteristic
363	#390	C₂×C₄	1	1	yes	characteristic
364	#390	C₂×C₄	1	1	yes	characteristic
365	#390	C₂×C₄	1	1	yes	characteristic
366	#390	C₂×C₄	1	1	yes	characteristic
367	#389	C₂×C₄	1	1	yes	characteristic
368	#389	C₂×C₄	1	1	yes	characteristic
369	#389	C₂×C₄	1	1	yes	characteristic
370	#389	C₂×C₄	1	1	yes	characteristic
371	#388	C₂×C₄	1	1	yes	characteristic
372	#388	C₂×C₄	1	1	yes	characteristic
373	#388	C₂×C₄	1	1	yes	characteristic
374	#388	C₂×C₄	1	1	yes	characteristic
375	#388	C₂×C₄	1	1	yes	characteristic
376	#388	C₂×C₄	1	1	yes	characteristic
377	#388	C₂×C₄	1	1	yes	characteristic
378	#388	C₂×C₄	1	1	yes	characteristic
379	#388	C₂×C₄	1	1	yes	characteristic
380	#388	C₂×C₄	1	1	yes	characteristic
381	#388	C₂×C₄	1	1	yes	characteristic
382	#388	C₂×C₄	1	1	yes	characteristic
383	#388	C₂×C₄	1	1	yes	characteristic
384	#388	C₂×C₄	1	1	yes	characteristic
385	#387	C₂×C₄	1	1	yes	characteristic
386	#387	C₂×C₄	1	1	yes	characteristic
387	#387	C₂×C₄	1	1	yes	characteristic
388	#387	C₂×C₄	1	1	yes	characteristic
389	#387	C₂×C₄	1	1	yes	characteristic
390	#387	C₂×C₄	1	1	yes	characteristic
391	#386	C₂×C₄	1	1	yes	characteristic
392	#386	C₂×C₄	1	1	yes	characteristic
393	#386	C₂×C₄	1	1	yes	characteristic
394	#386	C₂×C₄	1	1	yes	characteristic
395	#386	C₂×C₄	1	1	yes	characteristic
396	#386	C₂×C₄	1	1	yes	characteristic
397	#386	C₂×C₄	1	1	yes	characteristic
398	#386	C₂×C₄	1	1	yes	characteristic
399	#386	C₂×C₄	1	1	yes	characteristic
400	#386	C₂×C₄	1	1	yes	characteristic
401	#386	C₂×C₄	1	1	yes	characteristic
402	#386	C₂×C₄	1	1	yes	characteristic
403	#386	C₂×C₄	1	1	yes	characteristic
404	#386	C₂×C₄	1	1	yes	characteristic
405	#385	C₂×C₄	1	1	yes	characteristic
406	#385	C₂×C₄	1	1	yes	characteristic
407	#385	C₂×C₄	1	1	yes	characteristic
408	#385	C₂×C₄	1	1	yes	characteristic
409	#385	C₂×C₄	1	1	yes	characteristic
410	#385	C₂×C₄	1	1	yes	characteristic
411	#385	C₂×C₄	1	1	yes	characteristic
412	#385	C₂×C₄	1	1	yes	characteristic
413	#385	C₂×C₄	1	1	yes	characteristic
414	#385	C₂×C₄	1	1	yes	characteristic
415	#382	C₂×C₄	1	1	yes	characteristic
416	#381	C₂×C₄	1	1	yes	characteristic
417	#381	C₂×C₄	1	1	yes	characteristic
418	#380	C₂×C₄	1	1	yes	characteristic
419	#380	C₂×C₄	1	1	yes	characteristic
420	#380	C₂×C₄	1	1	yes	characteristic
421	#380	C₂×C₄	1	1	yes	characteristic
422	#379	C₂×C₄	1	1	yes	characteristic
423	#379	C₂×C₄	1	1	yes	characteristic
424	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
443	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
444	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
445	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
446	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
450	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
457	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×#95	C₂×C₄	1	1	yes	characteristic
461	C₂×#95	C₂×C₄	1	1	yes	characteristic
462	C₂×#95	C₂×C₄	1	1	yes	characteristic
463	C₂×#95	C₂×C₄	1	1	yes	characteristic
464	C₄³	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
498	C₂⁵	C₂²×C₄	1	1	yes	characteristic
499	C₂×#41	—	2	4	no	—
500	C₂×#41	—	4	2	no	—
501	C₂×#41	—	4	2	no	—
502	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
503	C₂²×D₄	—	2	4	no	—
504	C₂²×D₄	—	4	2	no	—
505	C₂²×D₄	—	4	2	no	—
506	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
507	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
508	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
509	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
510	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
512	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
513	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
514	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
515	C₂³×C₄	—	4	1	no	—
516	C₂³×C₄	—	4	1	no	—
517	C₂³×C₄	—	4	1	no	—
518	C₂³×C₄	—	4	1	no	—
519	C₂³×C₄	—	4	1	no	—
520	C₂³×C₄	—	4	1	no	—
521	C₂³×C₄	—	4	1	no	—
522	C₂³×C₄	—	4	1	no	—
523	C₂³×C₄	—	4	1	no	—
524	C₂³×C₄	—	4	1	no	—
525	C₂³×C₄	—	4	1	no	—
526	C₂³×C₄	—	4	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
533	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
534	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
535	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
536	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
537	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
538	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
539	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
540	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
541	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
542	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
543	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
544	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
545	C₂³×C₄	C₂⁴	1	1	yes	characteristic
546	C₂³×C₄	C₂⁴	1	1	yes	characteristic
547	C₂³×C₄	C₂⁴	1	1	yes	characteristic
548	C₂³×C₄	C₂⁴	1	1	yes	characteristic
549	C₂³×C₄	C₂⁴	1	1	yes	characteristic
550	C₂³×C₄	C₂⁴	1	1	yes	characteristic
551	C₂×M₁₆	—	2	2	no	—
552	C₂×M₁₆	—	2	2	no	—
553	C₂×M₁₆	—	4	1	no	—
554	C₂×M₁₆	—	4	1	no	—
555	C₂×M₁₆	—	4	1	no	—
556	C₂×M₁₆	—	4	1	no	—
557	C₂×M₁₆	—	4	1	no	—
558	C₂×M₁₆	—	4	1	no	—
559	C₂×M₁₆	—	4	1	no	—
560	C₂×M₁₆	—	4	1	no	—
561	C₂×M₁₆	—	4	1	no	—
562	C₂×M₁₆	—	4	1	no	—
563	C₂²×C₈	—	2	2	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	C₂⁴	1	1	yes	characteristic
570	C₂²×C₈	C₂⁴	1	1	yes	characteristic
571	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	#124	—	2	4	no	—
586	#123	—	2	4	no	—
587	#123	—	2	4	no	—
588	C₂²⋊Q₈	—	2	4	no	—
589	#121	—	2	4	no	—
590	#121	—	2	4	no	—
591	#121	—	2	4	no	—
592	#120	—	2	4	no	—
593	#120	—	2	4	no	—
594	C₄×Q₈	—	2	2	no	—
595	C₄×Q₈	—	2	2	no	—
596	C₄×Q₈	—	4	2	no	—
597	C₄×D₄	—	2	4	no	—
598	C₄×D₄	—	2	4	no	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	—	2	2	no	—
603	C₄×D₄	—	4	2	no	—
604	C₄×D₄	—	4	2	no	—
605	C₄×D₄	—	4	2	no	—
606	C₄×D₄	—	4	2	no	—
607	C₄×D₄	—	4	2	no	—
608	C₄×D₄	—	4	1	no	—
609	C₄×D₄	—	4	1	no	—
610	C₄×D₄	—	4	1	no	—
611	C₄×D₄	—	4	1	no	—
612	C₄×D₄	—	4	1	no	—
613	C₄×D₄	—	4	1	no	—
614	C₄×D₄	—	4	1	no	—
615	C₄×D₄	—	4	1	no	—
616	C₄×D₄	—	4	1	no	—
617	C₄×D₄	—	4	1	no	—
618	C₄×D₄	—	4	1	no	—
619	C₄×D₄	—	4	1	no	—
620	C₄×D₄	—	4	1	no	—
621	C₄×D₄	—	4	1	no	—
622	C₄×D₄	—	4	2	no	—
623	C₄×D₄	—	4	2	no	—
624	C₄×D₄	—	4	2	no	—
625	C₄×D₄	—	4	2	no	—
626	#117	—	4	2	no	—
627	#117	—	4	2	no	—
628	#117	—	4	2	no	—
629	C₂×C₄⋊C₄	—	4	2	no	—
630	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
651	C₂×C₂²⋊C₄	—	4	2	no	—
652	C₂×C₂²⋊C₄	—	4	2	no	—
653	C₂×C₂²⋊C₄	—	4	2	no	—
654	C₂×C₂²⋊C₄	—	4	2	no	—
655	C₂×C₂²⋊C₄	M₁₆	1	8	yes	complemented
656	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₂²⋊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×C₄²	—	2	2	no	—
699	C₂×C₄²	—	2	2	no	—
700	C₂×C₄²	—	2	2	no	—
701	C₂×C₄²	—	2	2	no	—
702	C₂×C₄²	—	4	1	no	—
703	C₂×C₄²	—	4	1	no	—
704	C₂×C₄²	—	4	1	no	—
705	C₂×C₄²	—	4	1	no	—
706	C₂×C₄²	—	4	1	no	—
707	C₂×C₄²	—	4	1	no	—
708	C₂×C₄²	—	4	1	no	—
709	C₂×C₄²	—	4	1	no	—
710	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
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	C₂²×C₄	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	C₄⋊C₈	—	2	2	no	—
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	—	4	1	no	—
741	C₄⋊C₈	—	4	1	no	—
742	C₄⋊C₈	—	4	1	no	—
743	C₄⋊C₈	—	4	1	no	—
744	C₄⋊C₈	—	4	1	no	—
745	C₄⋊C₈	—	4	1	no	—
746	C₄⋊C₈	—	4	1	no	—
747	C₄⋊C₈	—	4	1	no	—
748	C₄⋊C₈	—	4	1	no	—
749	C₄⋊C₈	—	4	1	no	—
750	C₄⋊C₈	—	4	1	no	—
751	C₄⋊C₈	—	4	1	no	—
752	C₄⋊C₈	—	4	1	no	—
753	C₄⋊C₈	—	4	1	no	—
754	C₄⋊C₈	—	4	1	no	—
755	C₂²⋊C₈	—	2	2	no	—
756	C₂²⋊C₈	—	2	2	no	—
757	C₂²⋊C₈	—	2	2	no	—
758	C₂²⋊C₈	—	4	1	no	—
759	C₂²⋊C₈	—	4	1	no	—
760	C₂²⋊C₈	—	4	1	no	—
761	C₂²⋊C₈	—	4	1	no	—
762	C₂²⋊C₈	—	4	1	no	—
763	C₂²⋊C₈	—	4	1	no	—
764	C₂²⋊C₈	—	4	1	no	—
765	C₂²⋊C₈	—	4	1	no	—
766	C₂²⋊C₈	—	4	1	no	—
767	C₂²⋊C₈	—	4	1	no	—
768	C₂²⋊C₈	—	4	1	no	—
769	C₂²⋊C₈	—	4	1	no	—
770	C₂²⋊C₈	—	4	1	no	—
771	C₂²⋊C₈	—	4	1	no	—
772	C₂²⋊C₈	—	4	1	no	—
773	C₂²⋊C₈	—	4	1	no	—
774	C₂²⋊C₈	—	4	1	no	—
775	C₂²⋊C₈	—	4	1	no	—
776	C₂²⋊C₈	—	4	1	no	—
777	C₂²⋊C₈	—	4	1	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	—	4	1	no	—
785	C₂²⋊C₈	—	4	1	no	—
786	C₂²⋊C₈	—	4	1	no	—
787	C₂²⋊C₈	—	4	1	no	—
788	C₂²⋊C₈	—	4	1	no	—
789	C₂²⋊C₈	—	4	1	no	—
790	C₂²⋊C₈	—	4	1	no	—
791	C₂²⋊C₈	—	4	1	no	—
792	C₂²⋊C₈	—	4	1	no	—
793	C₂²⋊C₈	—	4	1	no	—
794	C₂²⋊C₈	—	4	1	no	—
795	C₂²⋊C₈	—	4	1	no	—
796	C₂²⋊C₈	—	4	1	no	—
797	#97	—	2	2	no	—
798	#97	—	2	2	no	—
799	#97	—	2	2	no	—
800	#97	—	2	2	no	—
801	#97	—	2	2	no	—
802	#97	—	4	1	no	—
803	#97	—	4	1	no	—
804	#97	—	4	1	no	—
805	#97	—	4	1	no	—
806	#97	—	4	1	no	—
807	#97	—	4	1	no	—
808	#97	—	4	1	no	—
809	C₄×C₈	—	2	2	no	—
810	C₄×C₈	—	4	1	no	—
811	C₄×C₈	—	4	1	no	—
812	C₄×C₈	—	4	1	no	—
813	C₄×C₈	—	4	1	no	—
814	C₄×C₈	—	4	1	no	—
815	C₄×C₈	—	4	1	no	—
816	C₄×C₈	—	4	1	no	—
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	#95	C₂²×C₄	1	1	yes	characteristic
849	C₂⁴	—	2	2	no	—
850	C₂⁴	—	2	2	no	—
851	C₂⁴	—	4	1	no	—
852	C₂⁴	—	4	1	no	—
853	C₂⁴	—	4	1	no	—
854	C₂⁴	—	4	1	no	—
855	C₂⁴	—	4	1	no	—
856	C₂⁴	—	4	1	no	—
857	C₂⁴	—	4	1	no	—
858	C₂⁴	—	4	1	no	—
859	C₂⁴	—	4	1	no	—
860	C₂⁴	—	4	1	no	—
861	C₂⁴	—	4	1	no	—
862	C₂⁴	C₂×M₁₆	1	4	yes	—
863	C₂⁴	C₂³×C₄	1	1	yes	characteristic
864	C₂⁴	C₂³×C₄	1	1	yes	characteristic
865	C₂⁴	C₂³×C₄	1	1	yes	characteristic
866	C₂⁴	C₂³×C₄	1	1	yes	characteristic
867	C₂⁴	C₂³×C₄	1	1	yes	characteristic
868	C₂⁴	C₂³×C₄	1	1	yes	characteristic
869	#41	—	4	16	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	4	1	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	—	4	1	no	—
890	C₂×D₄	—	4	1	no	—
891	C₂×D₄	—	4	1	no	—
892	C₂×D₄	—	4	1	no	—
893	C₂×D₄	—	4	1	no	—
894	C₂×D₄	—	4	1	no	—
895	C₂×D₄	—	4	1	no	—
896	C₂×D₄	—	4	1	no	—
897	C₂×D₄	—	4	1	no	—
898	C₂×D₄	—	4	1	no	—
899	C₂×D₄	—	4	1	no	—
900	C₂×D₄	—	4	16	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	1	no	—
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	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	4	1	no	—
951	C₂²×C₄	—	4	1	no	—
952	C₂²×C₄	—	4	1	no	—
953	C₂²×C₄	—	4	1	no	—
954	C₂²×C₄	—	4	1	no	—
955	C₂²×C₄	—	4	1	no	—
956	C₂²×C₄	—	4	1	no	—
957	C₂²×C₄	—	4	1	no	—
958	C₂²×C₄	—	4	1	no	—
959	C₂²×C₄	—	4	1	no	—
960	C₂²×C₄	—	4	1	no	—
961	C₂²×C₄	—	4	1	no	—
962	C₂²×C₄	—	4	1	no	—
963	C₂²×C₄	—	4	1	no	—
964	C₂²×C₄	—	4	1	no	—
965	C₂²×C₄	—	4	1	no	—
966	C₂²×C₄	—	4	1	no	—
967	C₂²×C₄	—	4	1	no	—
968	C₂²×C₄	—	4	1	no	—
969	C₂²×C₄	—	4	1	no	—
970	C₂²×C₄	—	4	1	no	—
971	C₂²×C₄	—	4	1	no	—
972	C₂²×C₄	—	4	1	no	—
973	C₂²×C₄	—	4	1	no	—
974	C₂²×C₄	—	4	1	no	—
975	C₂²×C₄	—	4	1	no	—
976	C₂²×C₄	—	4	1	no	—
977	C₂²×C₄	—	4	1	no	—
978	C₂²×C₄	—	4	1	no	—
979	C₂²×C₄	—	4	1	no	—
980	C₂²×C₄	—	4	1	no	—
981	C₂²×C₄	—	4	1	no	—
982	C₂²×C₄	—	4	1	no	—
983	C₂²×C₄	—	4	1	no	—
984	C₂²×C₄	—	4	1	no	—
985	C₂²×C₄	—	4	1	no	—
986	C₂²×C₄	—	4	1	no	—
987	C₂²×C₄	—	4	1	no	—
988	C₂²×C₄	—	4	1	no	—
989	C₂²×C₄	—	8	2	no	—
990	C₂²×C₄	—	8	2	no	—
991	C₂²×C₄	—	8	2	no	—
992	C₂²×C₄	—	8	2	no	—
993	C₂²×C₄	—	8	2	no	—
994	C₂²×C₄	—	8	2	no	—
995	C₂²×C₄	—	8	2	no	—
996	C₂²×C₄	—	8	2	no	—
997	C₂²×C₄	C₂×M₁₆	1	4	yes	—
998	C₂²×C₄	C₂×M₁₆	1	4	yes	—
999	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1000	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1001	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1003	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1005	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1006	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1007	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1008	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1009	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1010	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1011	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1023	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1024	M₁₆	—	4	4	no	—
1025	M₁₆	—	4	4	no	—
1026	M₁₆	—	8	2	no	—
1027	M₁₆	—	8	2	no	—
1028	C₂×C₈	—	2	1	no	—
1029	C₂×C₈	—	2	1	no	—
1030	C₂×C₈	—	2	1	no	—
1031	C₂×C₈	—	2	1	no	—
1032	C₂×C₈	—	2	1	no	—
1033	C₂×C₈	—	2	1	no	—
1034	C₂×C₈	—	2	1	no	—
1035	C₂×C₈	—	2	1	no	—
1036	C₂×C₈	—	2	1	no	—
1037	C₂×C₈	—	2	1	no	—
1038	C₂×C₈	—	2	1	no	—
1039	C₂×C₈	—	2	1	no	—
1040	C₂×C₈	—	2	1	no	—
1041	C₂×C₈	—	2	1	no	—
1042	C₂×C₈	—	2	1	no	—
1043	C₂×C₈	—	2	1	no	—
1044	C₂×C₈	—	2	1	no	—
1045	C₂×C₈	—	2	1	no	—
1046	C₂×C₈	—	2	1	no	—
1047	C₂×C₈	—	2	1	no	—
1048	C₂×C₈	—	2	1	no	—
1049	C₂×C₈	—	2	1	no	—
1050	C₂×C₈	—	2	1	no	—
1051	C₂×C₈	—	2	1	no	—
1052	C₂×C₈	—	2	1	no	—
1053	C₂×C₈	—	2	1	no	—
1054	C₂×C₈	—	2	1	no	—
1055	C₂×C₈	—	2	1	no	—
1056	C₂×C₈	—	2	1	no	—
1057	C₂×C₈	—	2	1	no	—
1058	C₂×C₈	—	2	1	no	—
1059	C₂×C₈	—	2	1	no	—
1060	C₂×C₈	—	2	1	no	—
1061	C₂×C₈	—	2	1	no	—
1062	C₂×C₈	—	2	1	no	—
1063	C₂×C₈	—	2	1	no	—
1064	C₂×C₈	—	2	1	no	—
1065	C₂×C₈	—	2	1	no	—
1066	C₂×C₈	—	2	1	no	—
1067	C₂×C₈	—	2	1	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	—	8	2	no	—
1076	C₂×C₈	—	8	2	no	—
1077	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	4	1	no	—
1115	C₂²⋊C₄	—	4	1	no	—
1116	C₂²⋊C₄	—	4	1	no	—
1117	C₂²⋊C₄	—	4	1	no	—
1118	C₂²⋊C₄	—	4	1	no	—
1119	C₂²⋊C₄	—	4	1	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	1	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1137	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1138	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1139	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1140	C₄²	—	2	2	no	—
1141	C₄²	—	2	2	no	—
1142	C₄²	—	2	2	no	—
1143	C₄²	—	2	2	no	—
1144	C₄²	—	2	2	no	—
1145	C₄²	—	2	1	no	—
1146	C₄²	—	2	1	no	—
1147	C₄²	—	2	1	no	—
1148	C₄²	—	2	1	no	—
1149	C₄²	—	2	1	no	—
1150	C₄²	—	2	1	no	—
1151	C₄²	—	2	1	no	—
1152	C₄²	—	2	1	no	—
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	1	no	—
1157	C₄²	—	2	1	no	—
1158	C₄²	—	2	1	no	—
1159	C₄²	—	2	1	no	—
1160	C₄²	—	2	1	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	4	1	no	—
1163	C₄²	—	4	1	no	—
1164	C₄²	—	4	1	no	—
1165	C₄²	—	4	1	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	—	4	1	no	—
1170	C₄²	—	4	1	no	—
1171	C₄²	—	4	1	no	—
1172	C₄²	H(5,𝔽₂)	1	2	yes	—
1173	C₄²	H(5,𝔽₂)	1	2	yes	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	2	1	no	—
1198	C₂³	—	2	1	no	—
1199	C₂³	—	2	1	no	—
1200	C₂³	—	2	1	no	—
1201	C₂³	—	2	1	no	—
1202	C₂³	—	2	1	no	—
1203	C₂³	—	2	1	no	—
1204	C₂³	—	2	1	no	—
1205	C₂³	—	2	1	no	—
1206	C₂³	—	2	1	no	—
1207	C₂³	—	2	1	no	—
1208	C₂³	—	2	1	no	—
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	4	4	no	—
1213	C₂³	—	4	4	no	—
1214	C₂³	—	4	4	no	—
1215	C₂³	—	4	4	no	—
1216	C₂³	—	4	4	no	—
1217	C₂³	—	8	2	no	—
1218	C₂³	—	8	2	no	—
1219	C₂³	—	8	2	no	—
1220	C₂³	—	8	2	no	—
1221	C₂³	—	8	2	no	—
1222	C₂³	—	8	2	no	—
1223	C₂³	—	8	2	no	—
1224	C₂³	—	8	2	no	—
1225	C₂³	—	8	2	no	—
1226	C₂³	C₂²×M₁₆	1	2	yes	—
1227	C₂³	C₂²×M₁₆	1	2	yes	—
1228	C₂³	C₂²×M₁₆	1	2	yes	—
1229	C₂³	#568	1	2	yes	—
1230	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1231	Q₈	—	4	4	no	—
1232	D₄	—	2	8	no	—
1233	D₄	—	4	4	no	—
1234	D₄	—	4	4	no	—
1235	D₄	—	4	4	no	—
1236	D₄	—	4	4	no	—
1237	D₄	—	4	4	no	—
1238	D₄	—	4	4	no	—
1239	D₄	—	8	2	no	—
1240	D₄	—	8	2	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	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	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	4	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	4	4	no	—
1310	C₂×C₄	—	4	4	no	—
1311	C₂×C₄	—	4	4	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	1	no	—
1314	C₂×C₄	—	4	1	no	—
1315	C₂×C₄	—	4	1	no	—
1316	C₂×C₄	—	4	1	no	—
1317	C₂×C₄	—	4	1	no	—
1318	C₂×C₄	—	4	1	no	—
1319	C₂×C₄	—	4	1	no	—
1320	C₂×C₄	—	4	1	no	—
1321	C₂×C₄	—	4	1	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	4	1	no	—
1325	C₂×C₄	—	4	1	no	—
1326	C₂×C₄	—	4	1	no	—
1327	C₂×C₄	—	4	1	no	—
1328	C₂×C₄	—	4	1	no	—
1329	C₂×C₄	—	4	1	no	—
1330	C₂×C₄	—	4	1	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	4	1	no	—
1334	C₂×C₄	—	4	1	no	—
1335	C₂×C₄	—	4	1	no	—
1336	C₂×C₄	—	8	2	no	—
1337	C₂×C₄	—	8	2	no	—
1338	C₂×C₄	—	8	2	no	—
1339	C₂×C₄	—	8	2	no	—
1340	C₂×C₄	—	8	2	no	—
1341	C₂×C₄	—	8	2	no	—
1342	C₂×C₄	—	8	2	no	—
1343	C₂×C₄	—	8	2	no	—
1344	C₂×C₄	—	8	2	no	—
1345	C₂×C₄	—	8	2	no	—
1346	C₂×C₄	—	8	2	no	—
1347	C₂×C₄	—	8	2	no	—
1348	C₂×C₄	#518	1	2	yes	—
1349	C₂×C₄	#518	1	2	yes	—
1350	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1351	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1352	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1353	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1354	C₂×C₄	#568	1	2	yes	—
1355	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1356	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1357	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₂×C₄	#585	1	1	yes	characteristic
1359	C₂×C₄	#585	1	1	yes	characteristic
1360	C₂×C₄	#585	1	1	yes	characteristic
1361	C₈	—	2	2	no	—
1362	C₈	—	4	1	no	—
1363	C₈	—	4	1	no	—
1364	C₈	—	4	1	no	—
1365	C₈	—	4	1	no	—
1366	C₈	—	4	1	no	—
1367	C₈	—	4	1	no	—
1368	C₈	—	4	1	no	—
1369	C₈	—	4	1	no	—
1370	C₈	—	4	1	no	—
1371	C₈	—	4	1	no	—
1372	C₈	—	4	1	no	—
1373	C₈	—	4	1	no	—
1374	C₈	—	4	1	no	—
1375	C₈	—	4	1	no	—
1376	C₈	—	4	1	no	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	4	1	no	—
1409	C₂²	—	4	1	no	—
1410	C₂²	—	4	1	no	—
1411	C₂²	—	4	1	no	—
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	8	8	no	—
1420	C₂²	—	8	8	no	—
1421	C₂²	C₂×#518	1	1	yes	characteristic
1422	C₂²	#3428	1	1	yes	characteristic
1423	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1424	C₂²	C₂³×M₁₆	1	1	yes	characteristic
1425	C₂²	C₂×#568	1	1	yes	characteristic
1426	C₂²	C₂×#568	1	1	yes	characteristic
1427	C₂²	#3573	1	1	yes	characteristic
1428	C₄	—	2	2	no	—
1429	C₄	—	2	2	no	—
1430	C₄	—	2	2	no	—
1431	C₄	—	2	2	no	—
1432	C₄	—	2	2	no	—
1433	C₄	—	2	2	no	—
1434	C₄	—	2	2	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	4	1	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	1	no	—
1450	C₄	—	4	1	no	—
1451	C₄	—	4	1	no	—
1452	C₄	#3540	1	1	yes	characteristic
1453	C₄	#3542	1	1	yes	characteristic
1454	C₄	#3546	1	1	yes	characteristic
1455	C₄	#3562	1	1	yes	characteristic
1456	C₂	—	4	2	no	—
1457	C₂	—	4	2	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	4	2	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	1	no	—
1462	C₂	#34478	1	1	yes	characteristic
1463	C₂	#60230	1	1	yes	characteristic
1464	C₂	#60240	1	1	yes	characteristic
1465	C₂	#60277	1	1	yes	characteristic
1466	C₂	#60299	1	1	yes	characteristic
1467	C₂	#60309	1	1	yes	characteristic
1468	C₂	#60324	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
2. #23334	C₂	semidirect
3. #23329	C₂	semidirect
4. #23309	C₂	semidirect
5. #23308	C₂	semidirect
6. #23300	C₂	semidirect
7. #23296	C₂	semidirect
8. #23207	C₂	semidirect
9. #23085	C₂	semidirect
10. #23053	C₂	semidirect
11. #22797	C₂	semidirect
12. #22797	C₂	semidirect
13. #22555	C₂	semidirect
14. #22552	C₂	semidirect
15. #22532	C₂	semidirect
16. #22399	C₂	semidirect
17. #22369	C₂	semidirect
18. #22361	C₂	semidirect
19. #22216	C₂	semidirect
20. #22141	C₂	semidirect
21. #22139	C₂	semidirect
22. #22108	C₂	semidirect
23. #22038	C₂	semidirect
24. #22034	C₂	semidirect
25. #22014	C₂	semidirect
26. #21904	C₂	semidirect
27. #21902	C₂	semidirect
28. #21790	C₂	semidirect
29. #21490	C₂	semidirect
30. #21374	C₂	semidirect
31. #21108	C₂	semidirect
35. C₂×#446	C₂²	semidirect
36. C₂×#446	C₂²	semidirect
37. C₂×#436	C₂²	semidirect
40. C₂×#435	C₂²	semidirect
43. C₂×#432	C₂²	semidirect
44. C₂×#431	C₂²	semidirect
45. C₂×#431	C₂²	semidirect
48. C₂×C₄×M₁₆	C₂²	semidirect
77. #1985	C₂²	semidirect
78. #1985	C₂²	semidirect
91. #1955	C₂²	semidirect
92. #1955	C₂²	semidirect
93. #1955	C₂²	semidirect
94. #1954	C₂²	semidirect
95. #1954	C₂²	semidirect
96. #1954	C₂²	semidirect
97. #1940	C₂²	semidirect
98. #1940	C₂²	semidirect
99. #1940	C₂²	semidirect
100. #1939	C₂²	semidirect
105. #1924	C₂²	semidirect
106. #1924	C₂²	semidirect
107. #1924	C₂²	semidirect
108. #1924	C₂²	semidirect
109. #1924	C₂²	semidirect
110. #1924	C₂²	semidirect
111. #1924	C₂²	semidirect
112. #1924	C₂²	semidirect
113. #1924	C₂²	semidirect
114. #1924	C₂²	semidirect
115. #1924	C₂²	semidirect
116. #1924	C₂²	semidirect
117. #1924	C₂²	semidirect
126. #1923	C₂²	semidirect
127. #1923	C₂²	semidirect
128. #1923	C₂²	semidirect
129. #1923	C₂²	semidirect
130. #1923	C₂²	semidirect
131. #1923	C₂²	semidirect
132. #1923	C₂²	semidirect
133. #1923	C₂²	semidirect
134. #1923	C₂²	semidirect
135. #1917	C₂²	semidirect
136. #1917	C₂²	semidirect
137. #1917	C₂²	semidirect
138. #1916	C₂²	semidirect
139. #1916	C₂²	semidirect
140. #1916	C₂²	semidirect
145. #1870	C₂²	semidirect
146. #1870	C₂²	semidirect
147. #1870	C₂²	semidirect
148. #1870	C₂²	semidirect
149. #1870	C₂²	semidirect
150. #1870	C₂²	semidirect
151. #1870	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1851	C₂²	semidirect
156. #1851	C₂²	semidirect
157. #1851	C₂²	semidirect
158. #1851	C₂²	semidirect
159. #1851	C₂²	semidirect
160. #1850	C₂²	semidirect
161. #1850	C₂²	semidirect
162. #1850	C₂²	semidirect
163. #1842	C₂²	semidirect
164. #1817	C₂²	semidirect
165. #1817	C₂²	semidirect
167. #1797	C₂²	semidirect
168. #1797	C₂²	semidirect
169. #1797	C₂²	semidirect
170. #1797	C₂²	semidirect
171. #1797	C₂²	semidirect
172. #1797	C₂²	semidirect
173. #1797	C₂²	semidirect
180. #1771	C₂²	semidirect
181. #1771	C₂²	semidirect
182. #1771	C₂²	semidirect
183. #1771	C₂²	semidirect
184. #1771	C₂²	semidirect
185. #1770	C₂²	semidirect
186. #1767	C₂²	semidirect
187. #1767	C₂²	semidirect
188. #1753	C₂²	semidirect
189. #1753	C₂²	semidirect
190. #1753	C₂²	semidirect
191. #1752	C₂²	semidirect
192. C₈×C₂²⋊C₄	C₂²	semidirect
193. C₈×C₂²⋊C₄	C₂²	semidirect
195. #1749	C₂²	semidirect
196. #1749	C₂²	semidirect
197. C₄×C₂²⋊C₈	C₂²	semidirect
198. C₄×C₂²⋊C₈	C₂²	semidirect
199. C₄×C₂²⋊C₈	C₂²	semidirect
200. C₄×C₂²⋊C₈	C₂²	semidirect
201. C₄×C₂²⋊C₈	C₂²	semidirect
202. #1745	C₂²	semidirect
655. C₂×C₂²⋊C₄	M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₄×#546	2
#23334	2
#23329	2
#23309	2
#23308	2
#23300	2
#23296	2
#23207	2
#23085	2
#23053	2
#22797	2
#22555	2
#22552	2
#22532	2
#22399	2
#22369	2
#22361	2
#22216	2
#22141	2
#22139	2
#22108	2
#22038	2
#22034	2
#22014	2
#21904	2
#21902	2
#21790	2
#21490	2
#21374	2
#21108	2