Subgroups — #6411296

Order 512.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1499 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34977	C₂	1	1	yes	maximal, characteristic
2	#23356	C₂	1	1	yes	maximal, characteristic, complemented
3	#23349	C₂	1	1	yes	maximal, characteristic, complemented
4	#23329	C₂	1	1	yes	maximal, characteristic, complemented
5	#23327	C₂	1	1	yes	maximal, characteristic, complemented
6	#23270	C₂	1	1	yes	maximal, characteristic, complemented
7	#23173	C₂	1	1	yes	maximal, characteristic, complemented
8	#23117	C₂	1	1	yes	maximal, characteristic, complemented
9	#23116	C₂	1	1	yes	maximal, characteristic, complemented
10	#22847	C₂	1	1	yes	maximal, characteristic, complemented
11	#22847	C₂	1	1	yes	maximal, characteristic, complemented
12	#22847	C₂	1	1	yes	maximal, characteristic, complemented
13	#22843	C₂	1	1	yes	maximal, characteristic, complemented
14	#22592	C₂	1	1	yes	maximal, characteristic, complemented
15	#22589	C₂	1	1	yes	maximal, characteristic, complemented
16	#22471	C₂	1	1	yes	maximal, characteristic, complemented
17	#22469	C₂	1	1	yes	maximal, characteristic, complemented
18	#22389	C₂	1	1	yes	maximal, characteristic, complemented
19	#22389	C₂	1	1	yes	maximal, characteristic, complemented
20	#22333	C₂	1	1	yes	maximal, characteristic, complemented
21	#22331	C₂	1	1	yes	maximal, characteristic, complemented
22	#22266	C₂	1	1	yes	maximal, characteristic, complemented
23	#22260	C₂	1	1	yes	maximal, characteristic, complemented
24	#22172	C₂	1	1	yes	maximal, characteristic, complemented
25	#22168	C₂	1	1	yes	maximal, characteristic, complemented
26	#22037	C₂	1	1	yes	maximal, characteristic, complemented
27	#22029	C₂	1	1	yes	maximal, characteristic, complemented
28	#21745	C₂	1	1	yes	maximal, characteristic, complemented
29	#21443	C₂	1	1	yes	maximal, characteristic, complemented
30	#21442	C₂	1	1	yes	maximal, characteristic, complemented
31	#20900	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#131	C₂²	1	1	yes	characteristic
33	C₂×#532	C₂²	1	1	yes	characteristic
34	C₂×C₄×#41	C₂²	1	1	yes	characteristic
35	C₂×#435	C₂²	1	1	yes	characteristic
36	C₂×#435	C₂²	1	1	yes	characteristic
37	C₂×#435	C₂²	1	1	yes	characteristic
38	C₂×#435	C₂²	1	1	yes	characteristic
39	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
47	C₂×#408	C₂²	1	1	yes	characteristic
48	C₂×#408	C₂²	1	1	yes	characteristic
49	C₂×#408	C₂²	1	1	yes	characteristic
50	C₂×#408	C₂²	1	1	yes	characteristic
51	C₂×#408	C₂²	1	1	yes	characteristic
52	#2610	C₄	1	1	yes	characteristic
53	#2610	C₄	1	1	yes	characteristic
54	#2610	C₄	1	1	yes	characteristic
55	#2610	C₄	1	1	yes	characteristic
56	#2567	C₄	1	1	yes	characteristic
57	#2563	C₄	1	1	yes	characteristic
58	#2548	C₄	1	1	yes	characteristic
59	#2541	C₄	1	1	yes	characteristic
60	#2500	C₄	1	1	yes	characteristic
61	#2500	C₄	1	1	yes	characteristic
62	#2431	C₄	1	1	yes	characteristic
63	#2431	C₄	1	1	yes	characteristic
64	#2414	C₄	1	1	yes	characteristic
65	#2414	C₄	1	1	yes	characteristic
66	#2414	C₄	1	1	yes	characteristic
67	#2414	C₄	1	1	yes	characteristic
68	#2388	C₂²	1	1	yes	characteristic
69	#2388	C₂²	1	1	yes	characteristic
70	#2388	C₂²	1	1	yes	characteristic
71	#2388	C₂²	1	1	yes	characteristic
72	C₄×#127	C₂²	1	1	yes	characteristic
73	C₄×#127	C₂²	1	1	yes	characteristic
74	C₄×#124	C₂²	1	1	yes	characteristic
75	C₄×#124	C₂²	1	1	yes	characteristic
76	C₄×#121	C₂²	1	1	yes	characteristic
77	C₄×#121	C₂²	1	1	yes	characteristic
78	C₄×#121	C₂²	1	1	yes	characteristic
79	C₄×#121	C₂²	1	1	yes	characteristic
80	C₄×#117	C₂²	1	1	yes	characteristic
81	#1985	C₂²	1	1	yes	characteristic
82	#1985	C₂²	1	1	yes	characteristic
83	#1984	C₂²	1	1	yes	characteristic
84	#1984	C₂²	1	1	yes	characteristic
85	#1955	C₂²	1	1	yes	characteristic
86	#1955	C₂²	1	1	yes	characteristic
87	#1954	C₂²	1	1	yes	characteristic
88	#1954	C₂²	1	1	yes	characteristic
89	#1954	C₂²	1	1	yes	characteristic
90	#1954	C₂²	1	1	yes	characteristic
91	#1954	C₂²	1	1	yes	characteristic
92	#1954	C₂²	1	1	yes	characteristic
93	#1924	C₂²	1	1	yes	characteristic
94	#1924	C₂²	1	1	yes	characteristic
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1923	C₂²	1	1	yes	characteristic
100	#1923	C₂²	1	1	yes	characteristic
101	#1923	C₂²	1	1	yes	characteristic
102	#1923	C₂²	1	1	yes	characteristic
103	#1923	C₂²	1	1	yes	characteristic
104	#1923	C₂²	1	1	yes	characteristic
105	#1923	C₂²	1	1	yes	characteristic
106	#1923	C₂²	1	1	yes	characteristic
107	#1923	C₂²	1	1	yes	characteristic
108	#1923	C₂²	1	1	yes	characteristic
109	#1917	C₂²	1	1	yes	characteristic
110	#1917	C₂²	1	1	yes	characteristic
111	#1916	C₂²	1	1	yes	characteristic
112	#1916	C₂²	1	1	yes	characteristic
113	#1916	C₂²	1	1	yes	characteristic
114	#1916	C₂²	1	1	yes	characteristic
115	#1916	C₂²	1	1	yes	characteristic
116	#1916	C₂²	1	1	yes	characteristic
117	#1870	C₂²	1	1	yes	characteristic
118	#1870	C₂²	1	1	yes	characteristic
119	#1870	C₂²	1	1	yes	characteristic
120	#1870	C₂²	1	1	yes	characteristic
121	#1870	C₂²	1	1	yes	characteristic
122	#1870	C₂²	1	1	yes	characteristic
123	#1870	C₂²	1	1	yes	characteristic
124	#1870	C₂²	1	1	yes	characteristic
125	#1870	C₂²	1	1	yes	characteristic
126	#1870	C₂²	1	1	yes	characteristic
127	#1870	C₂²	1	1	yes	characteristic
128	#1870	C₂²	1	1	yes	characteristic
129	#1870	C₂²	1	1	yes	characteristic
130	#1870	C₂²	1	1	yes	characteristic
131	#1870	C₂²	1	1	yes	characteristic
132	#1870	C₂²	1	1	yes	characteristic
133	#1869	C₂²	1	1	yes	characteristic
134	#1869	C₂²	1	1	yes	characteristic
135	#1869	C₂²	1	1	yes	characteristic
136	#1869	C₂²	1	1	yes	characteristic
137	#1869	C₂²	1	1	yes	characteristic
138	#1869	C₂²	1	1	yes	characteristic
139	#1869	C₂²	1	1	yes	characteristic
140	#1869	C₂²	1	1	yes	characteristic
141	#1869	C₂²	1	1	yes	characteristic
142	#1869	C₂²	1	1	yes	characteristic
143	#1869	C₂²	1	1	yes	characteristic
144	#1869	C₂²	1	1	yes	characteristic
145	#1869	C₂²	1	1	yes	characteristic
146	#1869	C₂²	1	1	yes	characteristic
147	#1869	C₂²	1	1	yes	characteristic
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
153	#1869	C₂²	1	1	yes	characteristic
154	#1869	C₂²	1	1	yes	characteristic
155	#1869	C₂²	1	1	yes	characteristic
156	#1869	C₂²	1	1	yes	characteristic
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1851	C₂²	1	1	yes	characteristic
160	#1851	C₂²	1	1	yes	characteristic
161	#1851	C₂²	1	1	yes	characteristic
162	#1851	C₂²	1	1	yes	characteristic
163	#1850	C₂²	1	1	yes	characteristic
164	#1850	C₂²	1	1	yes	characteristic
165	#1850	C₂²	1	1	yes	characteristic
166	#1850	C₂²	1	1	yes	characteristic
167	#1850	C₂²	1	1	yes	characteristic
168	#1850	C₂²	1	1	yes	characteristic
169	#1839	C₂²	1	1	yes	characteristic
170	#1839	C₂²	1	1	yes	characteristic
171	#1831	C₂²	1	1	yes	characteristic
172	#1831	C₂²	1	1	yes	characteristic
173	#1817	C₂²	1	1	yes	characteristic
174	#1817	C₂²	1	1	yes	characteristic
175	#1817	C₂²	1	1	yes	characteristic
176	#1817	C₂²	1	1	yes	characteristic
177	#1797	C₂²	1	1	yes	characteristic
178	#1797	C₂²	1	1	yes	characteristic
179	#1780	C₂²	1	1	yes	characteristic
180	#1780	C₂²	1	1	yes	characteristic
181	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
182	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
183	#1753	C₂²	1	1	yes	characteristic
184	#1753	C₂²	1	1	yes	characteristic
185	#1753	C₂²	1	1	yes	characteristic
186	#1753	C₂²	1	1	yes	characteristic
187	#1753	C₂²	1	1	yes	characteristic
188	#1753	C₂²	1	1	yes	characteristic
189	#1752	C₂²	1	1	yes	characteristic
190	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
191	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
192	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
195	#1749	C₂²	1	1	yes	characteristic
196	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	#1745	C₂²	1	1	yes	characteristic
198	#1744	C₂²	1	1	yes	characteristic
199	#1728	C₂²	1	1	yes	characteristic
200	C₂×#336	C₂²	1	1	yes	characteristic
201	C₂×#336	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂×C₄	1	1	yes	characteristic
204	C₂²×#41	C₂³	1	1	yes	characteristic
205	C₂²×#41	C₂³	1	1	yes	characteristic
206	C₂×#131	—	4	2	no	—
207	C₂×#131	—	4	2	no	—
208	C₂×#131	—	4	2	no	—
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	C₂³×C₈	C₂³	1	1	yes	characteristic
224	C₂³×C₈	C₂³	1	1	yes	characteristic
225	#532	—	4	2	no	—
226	#532	—	4	2	no	—
227	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
228	C₂×#127	C₂×C₄	1	1	yes	characteristic
229	C₂×#127	C₂×C₄	1	1	yes	characteristic
230	C₂×#127	C₂×C₄	1	1	yes	characteristic
231	C₂×#124	C₂×C₄	1	1	yes	characteristic
232	C₂×#124	C₂×C₄	1	1	yes	characteristic
233	C₂×#124	C₂×C₄	1	1	yes	characteristic
234	C₂×#124	C₂×C₄	1	1	yes	characteristic
235	C₂×#121	C₂×C₄	1	1	yes	characteristic
236	C₂×#121	C₂×C₄	1	1	yes	characteristic
237	C₂×#121	C₂×C₄	1	1	yes	characteristic
238	C₂×#121	C₂×C₄	1	1	yes	characteristic
239	C₂×#121	C₂×C₄	1	1	yes	characteristic
240	C₂×#121	C₂×C₄	1	1	yes	characteristic
241	C₂×#121	C₂×C₄	1	1	yes	characteristic
242	C₂×#121	C₂×C₄	1	1	yes	characteristic
243	C₄×#41	—	4	2	no	—
244	C₄×#41	—	4	2	no	—
245	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
246	C₂×C₄×Q₈	C₂³	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×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₂×#117	C₂×C₄	1	1	yes	characteristic
266	C₂×#117	C₂×C₄	1	1	yes	characteristic
267	C₂×#117	C₂×C₄	1	1	yes	characteristic
268	C₂×#117	C₂×C₄	1	1	yes	characteristic
269	C₂×#117	C₂×C₄	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	#435	—	4	2	no	—
274	#435	—	4	2	no	—
275	#435	—	4	2	no	—
276	#435	—	4	2	no	—
277	C₈×D₄	—	4	2	no	—
278	C₈×D₄	—	4	2	no	—
279	C₈×D₄	—	4	2	no	—
280	C₈×D₄	—	4	2	no	—
281	C₈×D₄	—	4	2	no	—
282	C₈×D₄	—	4	2	no	—
283	C₈×D₄	—	4	2	no	—
284	C₈×D₄	—	4	2	no	—
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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	#408	—	4	2	no	—
298	#408	—	4	2	no	—
299	#408	—	4	2	no	—
300	#408	—	4	2	no	—
301	#408	—	4	2	no	—
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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₈	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×C₄×C₈	C₂³	1	1	yes	characteristic
347	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
348	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
349	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
350	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
353	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
354	#395	C₂×C₄	1	1	yes	characteristic
355	#395	C₂×C₄	1	1	yes	characteristic
356	#395	C₂×C₄	1	1	yes	characteristic
357	#395	C₂×C₄	1	1	yes	characteristic
358	#394	C₂×C₄	1	1	yes	characteristic
359	#394	C₂×C₄	1	1	yes	characteristic
360	#394	C₂×C₄	1	1	yes	characteristic
361	#394	C₂×C₄	1	1	yes	characteristic
362	#394	C₂×C₄	1	1	yes	characteristic
363	#394	C₂×C₄	1	1	yes	characteristic
364	#394	C₂×C₄	1	1	yes	characteristic
365	#394	C₂×C₄	1	1	yes	characteristic
366	#394	C₂×C₄	1	1	yes	characteristic
367	#394	C₂×C₄	1	1	yes	characteristic
368	#394	C₂×C₄	1	1	yes	characteristic
369	#394	C₂×C₄	1	1	yes	characteristic
370	#393	C₂×C₄	1	1	yes	characteristic
371	#393	C₂×C₄	1	1	yes	characteristic
372	#393	C₂×C₄	1	1	yes	characteristic
373	#393	C₂×C₄	1	1	yes	characteristic
374	#392	C₂×C₄	1	1	yes	characteristic
375	#392	C₂×C₄	1	1	yes	characteristic
376	#392	C₂×C₄	1	1	yes	characteristic
377	#392	C₂×C₄	1	1	yes	characteristic
378	#392	C₂×C₄	1	1	yes	characteristic
379	#392	C₂×C₄	1	1	yes	characteristic
380	#392	C₂×C₄	1	1	yes	characteristic
381	#392	C₂×C₄	1	1	yes	characteristic
382	#392	C₂×C₄	1	1	yes	characteristic
383	#392	C₂×C₄	1	1	yes	characteristic
384	#392	C₂×C₄	1	1	yes	characteristic
385	#392	C₂×C₄	1	1	yes	characteristic
386	#391	C₂×C₄	1	1	yes	characteristic
387	#391	C₂×C₄	1	1	yes	characteristic
388	#390	C₂×C₄	1	1	yes	characteristic
389	#390	C₂×C₄	1	1	yes	characteristic
390	#390	C₂×C₄	1	1	yes	characteristic
391	#390	C₂×C₄	1	1	yes	characteristic
392	#390	C₂×C₄	1	1	yes	characteristic
393	#390	C₂×C₄	1	1	yes	characteristic
394	#390	C₂×C₄	1	1	yes	characteristic
395	#390	C₂×C₄	1	1	yes	characteristic
396	#390	C₂×C₄	1	1	yes	characteristic
397	#390	C₂×C₄	1	1	yes	characteristic
398	#390	C₂×C₄	1	1	yes	characteristic
399	#390	C₂×C₄	1	1	yes	characteristic
400	#390	C₂×C₄	1	1	yes	characteristic
401	#390	C₂×C₄	1	1	yes	characteristic
402	#390	C₂×C₄	1	1	yes	characteristic
403	#390	C₂×C₄	1	1	yes	characteristic
404	#390	C₂×C₄	1	1	yes	characteristic
405	#390	C₂×C₄	1	1	yes	characteristic
406	#389	C₂×C₄	1	1	yes	characteristic
407	#389	C₂×C₄	1	1	yes	characteristic
408	#389	C₂×C₄	1	1	yes	characteristic
409	#389	C₂×C₄	1	1	yes	characteristic
410	#388	C₂×C₄	1	1	yes	characteristic
411	#388	C₂×C₄	1	1	yes	characteristic
412	#388	C₂×C₄	1	1	yes	characteristic
413	#388	C₂×C₄	1	1	yes	characteristic
414	#388	C₂×C₄	1	1	yes	characteristic
415	#388	C₂×C₄	1	1	yes	characteristic
416	#388	C₂×C₄	1	1	yes	characteristic
417	#388	C₂×C₄	1	1	yes	characteristic
418	#388	C₂×C₄	1	1	yes	characteristic
419	#388	C₂×C₄	1	1	yes	characteristic
420	#388	C₂×C₄	1	1	yes	characteristic
421	#388	C₂×C₄	1	1	yes	characteristic
422	#388	C₂×C₄	1	1	yes	characteristic
423	#388	C₂×C₄	1	1	yes	characteristic
424	#388	C₂×C₄	1	1	yes	characteristic
425	#388	C₂×C₄	1	1	yes	characteristic
426	#386	C₂×C₄	1	1	yes	characteristic
427	#386	C₂×C₄	1	1	yes	characteristic
428	#386	C₂×C₄	1	1	yes	characteristic
429	#386	C₂×C₄	1	1	yes	characteristic
430	#386	C₂×C₄	1	1	yes	characteristic
431	#386	C₂×C₄	1	1	yes	characteristic
432	#386	C₂×C₄	1	1	yes	characteristic
433	#386	C₂×C₄	1	1	yes	characteristic
434	#384	C₂×C₄	1	1	yes	characteristic
435	#384	C₂×C₄	1	1	yes	characteristic
436	#382	C₂×C₄	1	1	yes	characteristic
437	#382	C₂×C₄	1	1	yes	characteristic
438	#380	C₂×C₄	1	1	yes	characteristic
439	#380	C₂×C₄	1	1	yes	characteristic
440	#380	C₂×C₄	1	1	yes	characteristic
441	#380	C₂×C₄	1	1	yes	characteristic
442	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
443	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
444	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₄⋊C₄	C₂³	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	#376	C₂×C₄	1	1	yes	characteristic
459	#376	C₂×C₄	1	1	yes	characteristic
460	C₄³	C₂³	1	1	yes	characteristic
461	C₄³	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	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	#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	C₂×#41	—	2	4	no	—
503	C₂×#41	—	2	2	no	—
504	C₂×#41	—	2	2	no	—
505	C₂×#41	—	2	2	no	—
506	C₂×#41	—	2	2	no	—
507	C₂×#41	—	4	1	no	—
508	C₂×#41	—	4	1	no	—
509	C₂×#41	—	4	1	no	—
510	C₂×#41	—	4	1	no	—
511	C₂×#41	—	4	1	no	—
512	C₂×#41	—	4	1	no	—
513	C₂×#41	—	4	1	no	—
514	C₂×#41	—	4	1	no	—
515	C₂×#41	—	4	2	no	—
516	C₂×#41	—	4	2	no	—
517	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
518	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
519	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
520	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
521	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
522	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
523	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
525	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
527	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
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	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
538	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
539	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
540	C₂²×D₄	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	C₂²×C₄	1	1	yes	characteristic
546	C₂³×C₄	C₂²×C₄	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	C₂³×C₄	C₂⁴	1	1	yes	characteristic
552	C₂³×C₄	C₂⁴	1	1	yes	characteristic
553	C₂³×C₄	C₂⁴	1	1	yes	characteristic
554	#131	—	4	16	no	—
555	C₂×M₁₆	—	2	2	no	—
556	C₂×M₁₆	—	2	2	no	—
557	C₂×M₁₆	—	2	2	no	—
558	C₂×M₁₆	—	2	2	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	C₂×M₁₆	—	4	1	no	—
564	C₂×M₁₆	—	4	1	no	—
565	C₂×M₁₆	—	4	1	no	—
566	C₂×M₁₆	—	4	1	no	—
567	C₂×M₁₆	—	4	1	no	—
568	C₂×M₁₆	—	4	1	no	—
569	C₂×M₁₆	—	4	1	no	—
570	C₂×M₁₆	—	4	1	no	—
571	C₂×M₁₆	—	4	1	no	—
572	C₂×M₁₆	—	4	1	no	—
573	C₂²×C₈	—	2	2	no	—
574	C₂²×C₈	—	2	2	no	—
575	C₂²×C₈	—	2	2	no	—
576	C₂²×C₈	—	2	2	no	—
577	C₂²×C₈	—	2	2	no	—
578	C₂²×C₈	—	2	2	no	—
579	C₂²×C₈	—	2	2	no	—
580	C₂²×C₈	—	2	2	no	—
581	C₂²×C₈	—	4	1	no	—
582	C₂²×C₈	—	4	1	no	—
583	C₂²×C₈	—	4	1	no	—
584	C₂²×C₈	—	4	1	no	—
585	C₂²×C₈	—	4	1	no	—
586	C₂²×C₈	—	4	1	no	—
587	C₂²×C₈	—	4	1	no	—
588	C₂²×C₈	—	4	1	no	—
589	C₂²×C₈	—	4	1	no	—
590	C₂²×C₈	—	4	1	no	—
591	C₂²×C₈	—	4	1	no	—
592	C₂²×C₈	—	4	1	no	—
593	C₂²×C₈	—	4	1	no	—
594	C₂²×C₈	—	4	1	no	—
595	C₂²×C₈	—	4	1	no	—
596	C₂²×C₈	—	4	1	no	—
597	C₂²×C₈	—	4	1	no	—
598	C₂²×C₈	—	4	1	no	—
599	C₂²×C₈	—	4	1	no	—
600	C₂²×C₈	—	4	1	no	—
601	C₂²×C₈	—	4	1	no	—
602	C₂²×C₈	—	4	1	no	—
603	C₂²×C₈	C₂⁴	1	1	yes	characteristic
604	C₂²×C₈	C₂⁴	1	1	yes	characteristic
605	C₂²×C₈	C₂⁴	1	1	yes	characteristic
606	C₂²×C₈	C₂⁴	1	1	yes	characteristic
607	C₂²×C₈	C₂⁴	1	1	yes	characteristic
608	C₂²×C₈	C₂⁴	1	1	yes	characteristic
609	C₂²×C₈	C₂⁴	1	1	yes	characteristic
610	C₂²×C₈	C₂⁴	1	1	yes	characteristic
611	C₂²×C₈	C₂⁴	1	1	yes	characteristic
612	C₂²×C₈	C₂⁴	1	1	yes	characteristic
613	C₂²×C₈	C₂⁴	1	1	yes	characteristic
614	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	C₄⋊Q₈	—	4	2	no	—
620	#127	—	2	4	no	—
621	#127	—	2	4	no	—
622	#127	—	4	2	no	—
623	#124	—	4	2	no	—
624	#124	—	4	2	no	—
625	#124	—	4	2	no	—
626	#124	—	4	2	no	—
627	#121	—	2	4	no	—
628	#121	—	2	4	no	—
629	#121	—	4	2	no	—
630	#121	—	4	2	no	—
631	#121	—	4	2	no	—
632	#121	—	4	2	no	—
633	#121	—	4	2	no	—
634	#121	—	4	2	no	—
635	C₄×Q₈	—	4	1	no	—
636	C₄×Q₈	—	4	1	no	—
637	C₄×Q₈	—	4	2	no	—
638	C₄×D₄	—	2	2	no	—
639	C₄×D₄	—	2	2	no	—
640	C₄×D₄	—	2	2	no	—
641	C₄×D₄	—	2	2	no	—
642	C₄×D₄	—	4	2	no	—
643	C₄×D₄	—	4	1	no	—
644	C₄×D₄	—	4	1	no	—
645	C₄×D₄	—	4	1	no	—
646	C₄×D₄	—	4	1	no	—
647	C₄×D₄	—	4	1	no	—
648	C₄×D₄	—	4	1	no	—
649	C₄×D₄	—	4	1	no	—
650	C₄×D₄	—	4	1	no	—
651	C₄×D₄	—	4	1	no	—
652	C₄×D₄	—	4	1	no	—
653	C₄×D₄	—	4	1	no	—
654	C₄×D₄	—	4	1	no	—
655	C₄×D₄	—	4	1	no	—
656	C₄×D₄	—	4	1	no	—
657	C₄×D₄	—	4	1	no	—
658	C₄×D₄	—	4	1	no	—
659	C₄×D₄	—	4	1	no	—
660	C₄×D₄	—	4	1	no	—
661	C₄×D₄	—	4	1	no	—
662	C₄×D₄	—	4	1	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	—	4	2	no	—
671	#117	—	2	4	no	—
672	#117	—	4	2	no	—
673	#117	—	4	2	no	—
674	#117	—	4	2	no	—
675	#117	—	4	2	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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₄²	—	2	2	no	—
749	C₂×C₄²	—	2	2	no	—
750	C₂×C₄²	—	4	1	no	—
751	C₂×C₄²	—	4	1	no	—
752	C₂×C₄²	—	4	1	no	—
753	C₂×C₄²	—	4	1	no	—
754	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
769	C₂×C₄²	C₂⁴	1	1	yes	characteristic
770	C₂×C₄²	C₂⁴	1	1	yes	characteristic
771	C₂×C₄²	C₂⁴	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	C₄⋊C₈	—	2	2	no	—
777	C₄⋊C₈	—	2	2	no	—
778	C₄⋊C₈	—	4	1	no	—
779	C₄⋊C₈	—	4	1	no	—
780	C₄⋊C₈	—	4	1	no	—
781	C₄⋊C₈	—	4	1	no	—
782	C₄⋊C₈	—	4	1	no	—
783	C₄⋊C₈	—	4	1	no	—
784	C₄⋊C₈	—	4	1	no	—
785	C₄⋊C₈	—	4	1	no	—
786	C₄⋊C₈	—	4	1	no	—
787	C₄⋊C₈	—	4	1	no	—
788	C₂²⋊C₈	—	2	2	no	—
789	C₂²⋊C₈	—	2	2	no	—
790	C₂²⋊C₈	—	2	2	no	—
791	C₂²⋊C₈	—	2	2	no	—
792	C₂²⋊C₈	—	2	2	no	—
793	C₂²⋊C₈	—	2	2	no	—
794	C₂²⋊C₈	—	2	2	no	—
795	C₂²⋊C₈	—	2	2	no	—
796	C₂²⋊C₈	—	2	2	no	—
797	C₂²⋊C₈	—	2	2	no	—
798	C₂²⋊C₈	—	4	1	no	—
799	C₂²⋊C₈	—	4	1	no	—
800	C₂²⋊C₈	—	4	1	no	—
801	C₂²⋊C₈	—	4	1	no	—
802	C₂²⋊C₈	—	4	1	no	—
803	C₂²⋊C₈	—	4	1	no	—
804	C₂²⋊C₈	—	4	1	no	—
805	C₂²⋊C₈	—	4	1	no	—
806	C₂²⋊C₈	—	4	1	no	—
807	C₂²⋊C₈	—	4	1	no	—
808	C₂²⋊C₈	—	4	1	no	—
809	C₂²⋊C₈	—	4	1	no	—
810	C₂²⋊C₈	—	4	1	no	—
811	C₂²⋊C₈	—	4	1	no	—
812	C₂²⋊C₈	—	4	1	no	—
813	C₂²⋊C₈	—	4	1	no	—
814	C₂²⋊C₈	—	4	1	no	—
815	C₂²⋊C₈	—	4	1	no	—
816	C₂²⋊C₈	—	4	1	no	—
817	C₂²⋊C₈	—	4	1	no	—
818	C₂²⋊C₈	—	4	1	no	—
819	C₂²⋊C₈	—	4	1	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	#97	—	2	2	no	—
829	#97	—	4	1	no	—
830	#97	—	4	1	no	—
831	#97	—	4	1	no	—
832	C₄×C₈	—	2	2	no	—
833	C₄×C₈	—	4	1	no	—
834	C₄×C₈	—	4	1	no	—
835	C₄×C₈	—	4	1	no	—
836	C₄×C₈	—	4	1	no	—
837	C₄×C₈	—	4	1	no	—
838	C₄×C₈	—	4	1	no	—
839	C₄×C₈	—	4	1	no	—
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	#95	C₂²×C₄	1	1	yes	characteristic
850	#95	C₂²×C₄	1	1	yes	characteristic
851	#95	C₂²×C₄	1	1	yes	characteristic
852	#95	C₂²×C₄	1	1	yes	characteristic
853	#95	C₂²×C₄	1	1	yes	characteristic
854	#95	C₂²×C₄	1	1	yes	characteristic
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	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	C₂⁴	C₂³×C₄	1	1	yes	characteristic
870	C₂⁴	C₂³×C₄	1	1	yes	characteristic
871	#41	—	4	4	no	—
872	#41	—	4	4	no	—
873	#41	—	4	4	no	—
874	#41	—	4	4	no	—
875	#41	—	4	16	no	—
876	#41	—	8	2	no	—
877	#41	—	8	2	no	—
878	#41	—	8	2	no	—
879	#41	—	8	2	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	2	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	4	1	no	—
885	C₂×Q₈	—	4	1	no	—
886	C₂×Q₈	—	4	1	no	—
887	C₂×Q₈	—	4	1	no	—
888	C₂×Q₈	—	4	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	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	—	4	1	no	—
919	C₂×D₄	—	4	1	no	—
920	C₂×D₄	—	4	1	no	—
921	C₂×D₄	—	4	1	no	—
922	C₂×D₄	—	4	1	no	—
923	C₂×D₄	—	4	1	no	—
924	C₂×D₄	—	4	1	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	1	no	—
935	C₂×D₄	—	4	1	no	—
936	C₂×D₄	—	4	1	no	—
937	C₂×D₄	—	4	1	no	—
938	C₂×D₄	—	4	1	no	—
939	C₂×D₄	—	4	1	no	—
940	C₂×D₄	—	4	1	no	—
941	C₂×D₄	—	4	1	no	—
942	C₂×D₄	—	4	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	1	no	—
945	C₂×D₄	—	4	1	no	—
946	C₂×D₄	—	4	1	no	—
947	C₂×D₄	—	4	1	no	—
948	C₂×D₄	—	4	1	no	—
949	C₂×D₄	—	4	1	no	—
950	C₂×D₄	—	4	1	no	—
951	C₂×D₄	#131	1	4	yes	complemented
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	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	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	1	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	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	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	C₂³×C₄	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1030	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1031	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1032	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1033	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1034	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1035	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1036	M₁₆	—	4	4	no	—
1037	M₁₆	—	4	4	no	—
1038	M₁₆	—	4	4	no	—
1039	M₁₆	—	8	2	no	—
1040	M₁₆	—	8	2	no	—
1041	M₁₆	—	8	2	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	—	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	—	4	4	no	—
1089	C₂×C₈	—	4	4	no	—
1090	C₂×C₈	—	4	4	no	—
1091	C₂×C₈	—	8	2	no	—
1092	C₂×C₈	—	8	2	no	—
1093	C₂×C₈	—	8	2	no	—
1094	C₂×C₈	—	8	2	no	—
1095	C₂×C₈	—	8	2	no	—
1096	C₂×C₈	—	8	2	no	—
1097	C₂×C₈	—	8	2	no	—
1098	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1099	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	4	1	no	—
1105	C₄⋊C₄	—	4	1	no	—
1106	C₄⋊C₄	—	4	1	no	—
1107	C₄⋊C₄	—	4	1	no	—
1108	C₄⋊C₄	—	4	1	no	—
1109	C₄⋊C₄	—	4	1	no	—
1110	C₄⋊C₄	—	4	1	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	#131	1	4	yes	complemented
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	4	1	no	—
1140	C₂²⋊C₄	—	4	1	no	—
1141	C₂²⋊C₄	—	4	1	no	—
1142	C₂²⋊C₄	—	4	1	no	—
1143	C₂²⋊C₄	—	4	1	no	—
1144	C₂²⋊C₄	—	4	1	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	4	1	no	—
1163	C₂²⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	4	1	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	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	C₄²	—	2	2	no	—
1173	C₄²	—	2	2	no	—
1174	C₄²	—	2	2	no	—
1175	C₄²	—	2	2	no	—
1176	C₄²	—	2	2	no	—
1177	C₄²	—	2	2	no	—
1178	C₄²	—	2	2	no	—
1179	C₄²	—	2	1	no	—
1180	C₄²	—	2	1	no	—
1181	C₄²	—	2	1	no	—
1182	C₄²	—	2	1	no	—
1183	C₄²	—	2	1	no	—
1184	C₄²	—	2	1	no	—
1185	C₄²	—	2	1	no	—
1186	C₄²	—	2	1	no	—
1187	C₄²	—	2	1	no	—
1188	C₄²	—	2	1	no	—
1189	C₄²	—	2	1	no	—
1190	C₄²	—	2	1	no	—
1191	C₄²	—	2	1	no	—
1192	C₄²	—	2	1	no	—
1193	C₄²	—	2	1	no	—
1194	C₄²	—	2	1	no	—
1195	C₄²	—	4	1	no	—
1196	C₄²	—	4	1	no	—
1197	C₄²	—	4	1	no	—
1198	C₄²	—	4	1	no	—
1199	C₄²	—	4	1	no	—
1200	C₄²	—	4	1	no	—
1201	C₄²	—	4	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	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
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	#518	1	2	yes	—
1249	C₂³	C₂×#131	1	2	yes	—
1250	C₂³	C₂×#131	1	2	yes	—
1251	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1252	Q₈	—	4	4	no	—
1253	Q₈	—	4	4	no	—
1254	Q₈	—	8	2	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	4	4	no	—
1257	D₄	—	4	4	no	—
1258	D₄	—	4	4	no	—
1259	D₄	—	4	4	no	—
1260	D₄	—	4	4	no	—
1261	D₄	—	4	4	no	—
1262	D₄	—	4	4	no	—
1263	D₄	—	4	4	no	—
1264	D₄	—	4	4	no	—
1265	D₄	—	4	4	no	—
1266	D₄	—	4	4	no	—
1267	D₄	—	8	2	no	—
1268	D₄	—	8	2	no	—
1269	D₄	—	8	2	no	—
1270	D₄	—	8	2	no	—
1271	D₄	—	8	2	no	—
1272	D₄	—	8	2	no	—
1273	D₄	—	8	2	no	—
1274	D₄	—	8	2	no	—
1275	D₄	—	8	2	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	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	2	no	—
1293	C₂×C₄	—	2	2	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	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	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	—	4	4	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	4	no	—
1346	C₂×C₄	—	4	1	no	—
1347	C₂×C₄	—	4	1	no	—
1348	C₂×C₄	—	4	1	no	—
1349	C₂×C₄	—	4	1	no	—
1350	C₂×C₄	—	4	1	no	—
1351	C₂×C₄	—	4	1	no	—
1352	C₂×C₄	—	4	1	no	—
1353	C₂×C₄	—	4	1	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	1	no	—
1356	C₂×C₄	—	4	1	no	—
1357	C₂×C₄	—	4	1	no	—
1358	C₂×C₄	—	4	1	no	—
1359	C₂×C₄	—	4	1	no	—
1360	C₂×C₄	—	4	1	no	—
1361	C₂×C₄	—	4	1	no	—
1362	C₂×C₄	—	4	1	no	—
1363	C₂×C₄	—	4	1	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	—	8	2	no	—
1371	C₂×C₄	—	8	2	no	—
1372	C₂×C₄	#518	1	2	yes	—
1373	C₂×C₄	C₂×#131	1	2	yes	—
1374	C₂×C₄	C₂×#131	1	2	yes	—
1375	C₂×C₄	C₂×#131	1	2	yes	—
1376	C₂×C₄	C₂×#131	1	2	yes	—
1377	C₂×C₄	#568	1	2	yes	—
1378	C₂×C₄	#568	1	2	yes	—
1379	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1380	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1381	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1382	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1383	C₂×C₄	#585	1	1	yes	characteristic
1384	C₂×C₄	#585	1	1	yes	characteristic
1385	C₈	—	2	2	no	—
1386	C₈	—	2	2	no	—
1387	C₈	—	4	1	no	—
1388	C₈	—	4	1	no	—
1389	C₈	—	4	1	no	—
1390	C₈	—	4	1	no	—
1391	C₈	—	4	1	no	—
1392	C₈	—	4	1	no	—
1393	C₈	—	4	1	no	—
1394	C₈	—	4	1	no	—
1395	C₈	—	4	1	no	—
1396	C₈	—	4	1	no	—
1397	C₈	—	4	1	no	—
1398	C₈	—	4	1	no	—
1399	C₈	—	4	1	no	—
1400	C₈	—	4	1	no	—
1401	C₂²	—	2	2	no	—
1402	C₂²	—	2	2	no	—
1403	C₂²	—	2	2	no	—
1404	C₂²	—	2	2	no	—
1405	C₂²	—	2	2	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	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	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	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	C₂×#518	1	1	yes	characteristic
1451	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1452	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂²	C₂²×#131	1	1	yes	characteristic
1454	C₂²	C₂²×#131	1	1	yes	characteristic
1455	C₂²	C₂×#568	1	1	yes	characteristic
1456	C₂²	C₂×#568	1	1	yes	characteristic
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	no	—
1462	C₄	—	2	2	no	—
1463	C₄	—	2	2	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	#3532	1	1	yes	characteristic
1481	C₄	#3533	1	1	yes	characteristic
1482	C₄	#3542	1	1	yes	characteristic
1483	C₄	#3542	1	1	yes	characteristic
1484	C₂	—	4	2	no	—
1485	C₂	—	4	2	no	—
1486	C₂	—	4	2	no	—
1487	C₂	—	8	1	no	—
1488	C₂	—	8	1	no	—
1489	C₂	—	8	1	no	—
1490	C₂	—	8	1	no	—
1491	C₂	#34406	1	1	yes	characteristic
1492	C₂	#60233	1	1	yes	characteristic
1493	C₂	#60236	1	1	yes	characteristic
1494	C₂	#60305	1	1	yes	characteristic
1495	C₂	#60311	1	1	yes	characteristic
1496	C₂	#60320	1	1	yes	characteristic
1497	C₂	#60328	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#34977	C₂
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. #23356	C₂	semidirect
3. #23349	C₂	semidirect
4. #23329	C₂	semidirect
5. #23327	C₂	semidirect
6. #23270	C₂	semidirect
7. #23173	C₂	semidirect
8. #23117	C₂	semidirect
9. #23116	C₂	semidirect
10. #22847	C₂	semidirect
11. #22847	C₂	semidirect
12. #22847	C₂	semidirect
13. #22843	C₂	semidirect
14. #22592	C₂	semidirect
15. #22589	C₂	semidirect
16. #22471	C₂	semidirect
17. #22469	C₂	semidirect
18. #22389	C₂	semidirect
19. #22389	C₂	semidirect
20. #22333	C₂	semidirect
21. #22331	C₂	semidirect
22. #22266	C₂	semidirect
23. #22260	C₂	semidirect
24. #22172	C₂	semidirect
25. #22168	C₂	semidirect
26. #22037	C₂	semidirect
27. #22029	C₂	semidirect
28. #21745	C₂	semidirect
29. #21443	C₂	semidirect
30. #21442	C₂	semidirect
31. #20900	C₂	semidirect
951. C₂×D₄	#131	semidirect
1121. C₄⋊C₄	#131	semidirect

Maximal subgroups

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

subgroup	index
#34977	2
#23356	2
#23349	2
#23329	2
#23327	2
#23270	2
#23173	2
#23117	2
#23116	2
#22847	2
#22843	2
#22592	2
#22589	2
#22471	2
#22469	2
#22389	2
#22333	2
#22331	2
#22266	2
#22260	2
#22172	2
#22168	2
#22037	2
#22029	2
#21745	2
#21443	2
#21442	2
#20900	2