Subgroups — #6407885

Order 512.

1620 conjugacy classes of subgroups.

The subgroup lattice has 1393 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52292	C₂	1	1	yes	maximal, characteristic
2	#23382	C₂	1	1	yes	maximal, characteristic, complemented
3	#23381	C₂	1	1	yes	maximal, characteristic, complemented
4	#23358	C₂	1	1	yes	maximal, characteristic, complemented
5	#23332	C₂	1	1	yes	maximal, characteristic, complemented
6	#23331	C₂	1	1	yes	maximal, characteristic, complemented
7	#23331	C₂	1	1	yes	maximal, characteristic, complemented
8	#23329	C₂	1	1	yes	maximal, characteristic, complemented
9	#23328	C₂	1	1	yes	maximal, characteristic, complemented
10	#23327	C₂	1	1	yes	maximal, characteristic, complemented
11	#23319	C₂	1	1	yes	maximal, characteristic, complemented
12	#23318	C₂	1	1	yes	maximal, characteristic, complemented
13	#23314	C₂	1	1	yes	maximal, characteristic, complemented
14	#23308	C₂	1	1	yes	maximal, characteristic, complemented
15	#23307	C₂	1	1	yes	maximal, characteristic, complemented
16	#23306	C₂	1	1	yes	maximal, characteristic, complemented
17	#21685	C₂	1	1	yes	maximal, characteristic, complemented
18	#21671	C₂	1	1	yes	maximal, characteristic, complemented
19	#21671	C₂	1	1	yes	maximal, characteristic, complemented
20	#21568	C₂	1	1	yes	maximal, characteristic, complemented
21	#21562	C₂	1	1	yes	maximal, characteristic, complemented
22	C₈×#123	C₂	1	1	yes	maximal, characteristic, complemented
23	#21496	C₂	1	1	yes	maximal, characteristic, complemented
24	#21494	C₂	1	1	yes	maximal, characteristic, complemented
25	#21490	C₂	1	1	yes	maximal, characteristic, complemented
26	#21488	C₂	1	1	yes	maximal, characteristic, complemented
27	#21487	C₂	1	1	yes	maximal, characteristic, complemented
28	#21487	C₂	1	1	yes	maximal, characteristic, complemented
29	#21441	C₂	1	1	yes	maximal, characteristic, complemented
30	#21441	C₂	1	1	yes	maximal, characteristic, complemented
31	#21439	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×M₁₆	C₂²	1	1	yes	characteristic
33	C₂×#436	C₂²	1	1	yes	characteristic
34	C₂×#436	C₂²	1	1	yes	characteristic
35	C₂×#436	C₂²	1	1	yes	characteristic
36	C₂×#436	C₂²	1	1	yes	characteristic
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
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic, complemented
43	C₂×#435	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
45	C₂×#405	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
48	#2807	C₄	1	1	yes	characteristic
49	#2796	C₄	1	1	yes	characteristic
50	#2796	C₄	1	1	yes	characteristic
51	#2780	C₄	1	1	yes	characteristic
52	#2780	C₄	1	1	yes	characteristic
53	#2778	C₄	1	1	yes	characteristic
54	#2778	C₄	1	1	yes	characteristic
55	#2746	C₄	1	1	yes	characteristic
56	#2746	C₄	1	1	yes	characteristic
57	#2735	C₄	1	1	yes	characteristic
58	#2693	C₄	1	1	yes	characteristic
59	#2688	C₄	1	1	yes	characteristic
60	#2688	C₄	1	1	yes	characteristic
61	#2678	C₄	1	1	yes	characteristic
62	#2678	C₄	1	1	yes	characteristic
63	#2668	C₄	1	1	yes	characteristic
64	#2401	C₂²	1	1	yes	characteristic
65	#2401	C₂²	1	1	yes	characteristic
66	#2397	C₂²	1	1	yes	characteristic
67	#2395	C₂²	1	1	yes	characteristic
68	#2392	C₂²	1	1	yes	characteristic
69	#2392	C₂²	1	1	yes	characteristic
70	C₄×#123	C₂²	1	1	yes	characteristic
71	C₄×#123	C₂²	1	1	yes	characteristic
72	C₄×#121	C₂²	1	1	yes	characteristic
73	C₄×#121	C₂²	1	1	yes	characteristic
74	C₄×#121	C₂²	1	1	yes	characteristic
75	C₄×#121	C₂²	1	1	yes	characteristic
76	C₄×#120	C₂²	1	1	yes	characteristic
77	C₄×#120	C₂²	1	1	yes	characteristic
78	C₄×#120	C₂²	1	1	yes	characteristic
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, complemented
83	#1954	C₂²	1	1	yes	characteristic
84	#1954	C₂²	1	1	yes	characteristic
85	#1954	C₂²	1	1	yes	characteristic
86	#1954	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, complemented
90	#1954	C₂²	1	1	yes	characteristic, complemented
91	#1940	C₂²	1	1	yes	characteristic, complemented
92	#1940	C₂²	1	1	yes	characteristic, complemented
93	#1939	C₂²	1	1	yes	characteristic, complemented
94	#1939	C₂²	1	1	yes	characteristic, complemented
95	#1939	C₂²	1	1	yes	characteristic, complemented
96	#1939	C₂²	1	1	yes	characteristic, complemented
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1924	C₂²	1	1	yes	characteristic
100	#1924	C₂²	1	1	yes	characteristic
101	#1924	C₂²	1	1	yes	characteristic
102	#1924	C₂²	1	1	yes	characteristic
103	#1924	C₂²	1	1	yes	characteristic, complemented
104	#1924	C₂²	1	1	yes	characteristic, complemented
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	#1923	C₂²	1	1	yes	characteristic
110	#1923	C₂²	1	1	yes	characteristic
111	#1923	C₂²	1	1	yes	characteristic
112	#1923	C₂²	1	1	yes	characteristic
113	#1923	C₂²	1	1	yes	characteristic
114	#1923	C₂²	1	1	yes	characteristic
115	#1923	C₂²	1	1	yes	characteristic
116	#1923	C₂²	1	1	yes	characteristic
117	#1923	C₂²	1	1	yes	characteristic, complemented
118	#1923	C₂²	1	1	yes	characteristic, complemented
119	#1923	C₂²	1	1	yes	characteristic, complemented
120	#1923	C₂²	1	1	yes	characteristic, complemented
121	#1917	C₂²	1	1	yes	characteristic, complemented
122	#1917	C₂²	1	1	yes	characteristic, complemented
123	#1917	C₂²	1	1	yes	characteristic, complemented
124	#1917	C₂²	1	1	yes	characteristic, complemented
125	#1916	C₂²	1	1	yes	characteristic, complemented
126	#1916	C₂²	1	1	yes	characteristic, complemented
127	#1916	C₂²	1	1	yes	characteristic, complemented
128	#1916	C₂²	1	1	yes	characteristic, complemented
129	#1916	C₂²	1	1	yes	characteristic, complemented
130	#1916	C₂²	1	1	yes	characteristic, complemented
131	#1916	C₂²	1	1	yes	characteristic, complemented
132	#1916	C₂²	1	1	yes	characteristic, complemented
133	#1870	C₂²	1	1	yes	characteristic
134	#1870	C₂²	1	1	yes	characteristic
135	#1870	C₂²	1	1	yes	characteristic
136	#1870	C₂²	1	1	yes	characteristic
137	#1870	C₂²	1	1	yes	characteristic
138	#1870	C₂²	1	1	yes	characteristic
139	#1870	C₂²	1	1	yes	characteristic
140	#1870	C₂²	1	1	yes	characteristic
141	#1870	C₂²	1	1	yes	characteristic
142	#1870	C₂²	1	1	yes	characteristic, complemented
143	#1870	C₂²	1	1	yes	characteristic, complemented
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, complemented
154	#1869	C₂²	1	1	yes	characteristic, complemented
155	#1869	C₂²	1	1	yes	characteristic, complemented
156	#1869	C₂²	1	1	yes	characteristic, complemented
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1851	C₂²	1	1	yes	characteristic
160	#1851	C₂²	1	1	yes	characteristic
161	#1851	C₂²	1	1	yes	characteristic
162	#1851	C₂²	1	1	yes	characteristic
163	#1851	C₂²	1	1	yes	characteristic, complemented
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, complemented
168	#1850	C₂²	1	1	yes	characteristic, complemented
169	#1843	C₂²	1	1	yes	characteristic, complemented
170	#1840	C₂²	1	1	yes	characteristic, complemented
171	#1840	C₂²	1	1	yes	characteristic, complemented
172	#1818	C₂²	1	1	yes	characteristic, complemented
173	#1817	C₂²	1	1	yes	characteristic, complemented
174	#1817	C₂²	1	1	yes	characteristic, complemented
175	#1798	C₂²	1	1	yes	characteristic, complemented
176	#1798	C₂²	1	1	yes	characteristic, complemented
177	#1797	C₂²	1	1	yes	characteristic, complemented
178	#1797	C₂²	1	1	yes	characteristic, complemented
179	#1797	C₂²	1	1	yes	characteristic, complemented
180	#1797	C₂²	1	1	yes	characteristic, complemented
181	#1779	C₂²	1	1	yes	characteristic
182	#1779	C₂²	1	1	yes	characteristic
183	#1779	C₂²	1	1	yes	characteristic
184	#1771	C₂²	1	1	yes	characteristic, complemented
185	#1771	C₂²	1	1	yes	characteristic, complemented
186	#1770	C₂²	1	1	yes	characteristic, complemented
187	#1770	C₂²	1	1	yes	characteristic, complemented
188	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
190	#1753	C₂²	1	1	yes	characteristic
191	#1753	C₂²	1	1	yes	characteristic
192	#1753	C₂²	1	1	yes	characteristic
193	#1753	C₂²	1	1	yes	characteristic
194	#1753	C₂²	1	1	yes	characteristic
195	#1753	C₂²	1	1	yes	characteristic
196	#1753	C₂²	1	1	yes	characteristic, complemented
197	#1753	C₂²	1	1	yes	characteristic, complemented
198	#1752	C₂²	1	1	yes	characteristic
199	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
200	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
201	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
202	#1726	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	—	4	2	no	—
205	C₂²×M₁₆	—	4	2	no	—
206	C₂²×M₁₆	—	4	2	no	—
207	C₂²×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂²×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	1	1	yes	characteristic
218	C₂³×C₈	C₂³	1	1	yes	characteristic
219	C₂×#123	C₂×C₄	1	1	yes	characteristic
220	C₂×#123	C₂×C₄	1	1	yes	characteristic
221	C₂×#121	C₂×C₄	1	1	yes	characteristic
222	C₂×#121	C₂×C₄	1	1	yes	characteristic
223	C₂×#121	C₂×C₄	1	1	yes	characteristic
224	C₂×#121	C₂×C₄	1	1	yes	characteristic
225	C₂×#120	C₂×C₄	1	1	yes	characteristic
226	C₂×#120	C₂×C₄	1	1	yes	characteristic
227	C₂×#120	C₂×C₄	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
240	C₂×#117	C₂³	1	1	yes	characteristic
241	C₂²×C₄²	C₂³	1	1	yes	characteristic
242	C₂²×C₄²	C₂³	1	1	yes	characteristic
243	#436	—	4	2	no	—
244	#436	—	4	2	no	—
245	#436	—	4	2	no	—
246	#436	—	4	2	no	—
247	#436	—	4	2	no	—
248	#435	—	4	2	no	—
249	#435	—	4	2	no	—
250	#435	—	4	2	no	—
251	#435	—	4	2	no	—
252	#435	—	4	2	no	—
253	#435	—	4	2	no	—
254	C₈×D₄	—	4	2	no	—
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#405	—	4	2	no	—
310	C₄×M₁₆	—	4	2	no	—
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×#97	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×#97	C₂³	1	1	yes	characteristic
317	C₂×#97	C₂³	1	1	yes	characteristic
318	C₂×C₄×C₈	—	4	2	no	—
319	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
320	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
321	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
322	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
327	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
329	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
330	#401	C₂×C₄	1	1	yes	characteristic
331	#401	C₂×C₄	1	1	yes	characteristic
332	#400	C₂×C₄	1	1	yes	characteristic
333	#400	C₂×C₄	1	1	yes	characteristic
334	#400	C₂×C₄	1	1	yes	characteristic
335	#400	C₂×C₄	1	1	yes	characteristic
336	#400	C₂×C₄	1	1	yes	characteristic
337	#400	C₂×C₄	1	1	yes	characteristic
338	#400	C₂×C₄	1	1	yes	characteristic
339	#399	C₂×C₄	1	1	yes	characteristic
340	#399	C₂×C₄	1	1	yes	characteristic
341	#399	C₂×C₄	1	1	yes	characteristic
342	#399	C₂×C₄	1	1	yes	characteristic
343	#399	C₂×C₄	1	1	yes	characteristic
344	#398	C₂×C₄	1	1	yes	characteristic
345	#398	C₂×C₄	1	1	yes	characteristic
346	#398	C₂×C₄	1	1	yes	characteristic
347	#397	C₂×C₄	1	1	yes	characteristic
348	#397	C₂×C₄	1	1	yes	characteristic
349	#397	C₂×C₄	1	1	yes	characteristic
350	#397	C₂×C₄	1	1	yes	characteristic
351	#397	C₂×C₄	1	1	yes	characteristic
352	#397	C₂×C₄	1	1	yes	characteristic
353	#397	C₂×C₄	1	1	yes	characteristic
354	#397	C₂×C₄	1	1	yes	characteristic
355	#397	C₂×C₄	1	1	yes	characteristic
356	#397	C₂×C₄	1	1	yes	characteristic
357	#397	C₂×C₄	1	1	yes	characteristic
358	#396	C₂×C₄	1	1	yes	characteristic
359	#396	C₂×C₄	1	1	yes	characteristic
360	#396	C₂×C₄	1	1	yes	characteristic
361	#396	C₂×C₄	1	1	yes	characteristic
362	#396	C₂×C₄	1	1	yes	characteristic
363	#396	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	#394	C₂×C₄	1	1	yes	characteristic
371	#394	C₂×C₄	1	1	yes	characteristic
372	#392	C₂×C₄	1	1	yes	characteristic
373	#392	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	#390	C₂×C₄	1	1	yes	characteristic
379	#390	C₂×C₄	1	1	yes	characteristic
380	#390	C₂×C₄	1	1	yes	characteristic
381	#390	C₂×C₄	1	1	yes	characteristic
382	#389	C₂×C₄	1	1	yes	characteristic
383	#389	C₂×C₄	1	1	yes	characteristic
384	#389	C₂×C₄	1	1	yes	characteristic
385	#389	C₂×C₄	1	1	yes	characteristic
386	#388	C₂×C₄	1	1	yes	characteristic
387	#388	C₂×C₄	1	1	yes	characteristic
388	#388	C₂×C₄	1	1	yes	characteristic
389	#388	C₂×C₄	1	1	yes	characteristic
390	#388	C₂×C₄	1	1	yes	characteristic
391	#388	C₂×C₄	1	1	yes	characteristic
392	#388	C₂×C₄	1	1	yes	characteristic
393	#388	C₂×C₄	1	1	yes	characteristic
394	#388	C₂×C₄	1	1	yes	characteristic
395	#388	C₂×C₄	1	1	yes	characteristic
396	#388	C₂×C₄	1	1	yes	characteristic
397	#388	C₂×C₄	1	1	yes	characteristic
398	#387	C₂×C₄	1	1	yes	characteristic
399	#387	C₂×C₄	1	1	yes	characteristic
400	#387	C₂×C₄	1	1	yes	characteristic
401	#387	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	#386	C₂×C₄	1	1	yes	characteristic
406	#386	C₂×C₄	1	1	yes	characteristic
407	#386	C₂×C₄	1	1	yes	characteristic
408	#386	C₂×C₄	1	1	yes	characteristic
409	#386	C₂×C₄	1	1	yes	characteristic
410	#386	C₂×C₄	1	1	yes	characteristic
411	#386	C₂×C₄	1	1	yes	characteristic
412	#386	C₂×C₄	1	1	yes	characteristic
413	#386	C₂×C₄	1	1	yes	characteristic
414	#386	C₂×C₄	1	1	yes	characteristic
415	#386	C₂×C₄	1	1	yes	characteristic
416	#386	C₂×C₄	1	1	yes	characteristic
417	#386	C₂×C₄	1	1	yes	characteristic
418	#386	C₂×C₄	1	1	yes	characteristic
419	#386	C₂×C₄	1	1	yes	characteristic
420	#386	C₂×C₄	1	1	yes	characteristic
421	#385	C₂×C₄	1	1	yes	characteristic
422	#385	C₂×C₄	1	1	yes	characteristic
423	#385	C₂×C₄	1	1	yes	characteristic
424	#385	C₂×C₄	1	1	yes	characteristic
425	#385	C₂×C₄	1	1	yes	characteristic
426	#385	C₂×C₄	1	1	yes	characteristic
427	#385	C₂×C₄	1	1	yes	characteristic
428	#385	C₂×C₄	1	1	yes	characteristic
429	#385	C₂×C₄	1	1	yes	characteristic
430	#385	C₂×C₄	1	1	yes	characteristic
431	#385	C₂×C₄	1	1	yes	characteristic
432	#381	C₂×C₄	1	1	yes	characteristic
433	#381	C₂×C₄	1	1	yes	characteristic
434	#380	C₂×C₄	1	1	yes	characteristic
435	#380	C₂×C₄	1	1	yes	characteristic
436	#380	C₂×C₄	1	1	yes	characteristic
437	#380	C₂×C₄	1	1	yes	characteristic
438	#379	C₂×C₄	1	1	yes	characteristic
439	#379	C₂×C₄	1	1	yes	characteristic
440	#379	C₂×C₄	1	1	yes	characteristic
441	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
443	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
446	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	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	#376	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
497	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
498	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
499	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
500	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
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	C₂³×C₄	—	4	1	no	—
510	C₂³×C₄	—	4	1	no	—
511	C₂³×C₄	—	4	1	no	—
512	C₂³×C₄	—	4	1	no	—
513	C₂³×C₄	—	4	1	no	—
514	C₂³×C₄	—	4	1	no	—
515	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
518	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
519	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
520	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
521	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
522	C₂³×C₄	C₂⁴	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	1	1	yes	characteristic
524	C₂³×C₄	C₂⁴	1	1	yes	characteristic
525	C₂³×C₄	C₂⁴	1	1	yes	characteristic
526	C₂³×C₄	C₂⁴	1	1	yes	characteristic
527	C₂³×C₄	C₂⁴	1	1	yes	characteristic
528	C₂×M₁₆	—	2	2	no	—
529	C₂×M₁₆	—	2	2	no	—
530	C₂×M₁₆	—	2	2	no	—
531	C₂×M₁₆	—	2	2	no	—
532	C₂×M₁₆	—	2	2	no	—
533	C₂×M₁₆	—	2	2	no	—
534	C₂×M₁₆	—	2	2	no	—
535	C₂×M₁₆	—	2	2	no	—
536	C₂×M₁₆	—	2	2	no	—
537	C₂×M₁₆	—	2	2	no	—
538	C₂×M₁₆	—	2	2	no	—
539	C₂×M₁₆	—	2	2	no	—
540	C₂×M₁₆	—	4	1	no	—
541	C₂×M₁₆	—	4	1	no	—
542	C₂×M₁₆	—	4	1	no	—
543	C₂×M₁₆	—	4	1	no	—
544	C₂×M₁₆	—	4	1	no	—
545	C₂×M₁₆	—	4	1	no	—
546	C₂×M₁₆	—	4	1	no	—
547	C₂×M₁₆	—	4	1	no	—
548	C₂×M₁₆	—	4	1	no	—
549	C₂×M₁₆	—	4	16	no	—
550	C₂²×C₈	—	2	2	no	—
551	C₂²×C₈	—	2	2	no	—
552	C₂²×C₈	—	2	2	no	—
553	C₂²×C₈	—	2	2	no	—
554	C₂²×C₈	—	2	2	no	—
555	C₂²×C₈	—	2	2	no	—
556	C₂²×C₈	—	4	1	no	—
557	C₂²×C₈	—	4	1	no	—
558	C₂²×C₈	—	4	1	no	—
559	C₂²×C₈	—	4	1	no	—
560	C₂²×C₈	—	4	1	no	—
561	C₂²×C₈	—	4	1	no	—
562	C₂²×C₈	—	4	1	no	—
563	C₂²×C₈	—	4	1	no	—
564	C₂²×C₈	—	4	1	no	—
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₂²×C₈	C₂⁴	1	1	yes	characteristic
568	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	#123	—	2	4	no	—
582	#123	—	2	4	no	—
583	#121	—	4	2	no	—
584	#121	—	4	2	no	—
585	#121	—	4	2	no	—
586	#121	—	4	2	no	—
587	#120	—	2	4	no	—
588	#120	—	4	2	no	—
589	#120	—	4	2	no	—
590	C₄×D₄	—	4	1	no	—
591	C₄×D₄	—	4	1	no	—
592	C₄×D₄	—	4	1	no	—
593	C₄×D₄	—	4	1	no	—
594	C₄×D₄	—	4	1	no	—
595	C₄×D₄	—	4	1	no	—
596	C₄×D₄	—	4	1	no	—
597	C₄×D₄	—	4	1	no	—
598	C₄×D₄	—	4	1	no	—
599	C₄×D₄	—	4	1	no	—
600	C₄×D₄	—	4	1	no	—
601	C₄×D₄	—	4	1	no	—
602	C₄×D₄	—	4	1	no	—
603	C₄×D₄	—	4	1	no	—
604	C₄×D₄	—	4	1	no	—
605	C₄×D₄	—	4	1	no	—
606	C₄×D₄	—	4	1	no	—
607	C₄×D₄	—	4	1	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	#117	—	4	1	no	—
615	#117	—	4	1	no	—
616	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₄²	—	4	1	no	—
693	C₂×C₄²	—	4	1	no	—
694	C₂×C₄²	—	4	1	no	—
695	C₂×C₄²	—	4	1	no	—
696	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₄²	C₂⁴	1	1	yes	characteristic
701	C₂×C₄²	C₂⁴	1	1	yes	characteristic
702	C₂×C₄²	C₂⁴	1	1	yes	characteristic
703	C₂×C₄²	C₂⁴	1	1	yes	characteristic
704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
705	C₂×C₄²	C₂⁴	1	1	yes	characteristic
706	C₂×C₄²	C₂⁴	1	1	yes	characteristic
707	C₂×C₄²	C₂⁴	1	1	yes	characteristic
708	C₂×C₄²	C₂⁴	1	1	yes	characteristic
709	C₄⋊C₈	—	4	1	no	—
710	C₄⋊C₈	—	4	1	no	—
711	C₄⋊C₈	—	4	1	no	—
712	C₄⋊C₈	—	4	1	no	—
713	C₄⋊C₈	—	4	1	no	—
714	C₄⋊C₈	—	4	1	no	—
715	C₄⋊C₈	—	4	1	no	—
716	C₄⋊C₈	—	4	1	no	—
717	C₄⋊C₈	—	4	1	no	—
718	C₄⋊C₈	—	4	1	no	—
719	C₄⋊C₈	—	4	1	no	—
720	C₄⋊C₈	—	4	1	no	—
721	C₄⋊C₈	—	4	1	no	—
722	C₄⋊C₈	—	4	1	no	—
723	C₄⋊C₈	—	4	1	no	—
724	C₄⋊C₈	—	4	1	no	—
725	C₄⋊C₈	—	4	1	no	—
726	C₄⋊C₈	—	4	1	no	—
727	C₂²⋊C₈	—	4	1	no	—
728	C₂²⋊C₈	—	4	1	no	—
729	C₂²⋊C₈	—	4	1	no	—
730	C₂²⋊C₈	—	4	1	no	—
731	C₂²⋊C₈	—	4	1	no	—
732	C₂²⋊C₈	—	4	1	no	—
733	C₂²⋊C₈	—	4	1	no	—
734	C₂²⋊C₈	—	4	1	no	—
735	C₂²⋊C₈	—	4	1	no	—
736	C₂²⋊C₈	—	4	1	no	—
737	C₂²⋊C₈	—	4	1	no	—
738	C₂²⋊C₈	—	4	1	no	—
739	C₂²⋊C₈	—	4	1	no	—
740	C₂²⋊C₈	—	4	1	no	—
741	C₂²⋊C₈	—	4	1	no	—
742	C₂²⋊C₈	—	4	1	no	—
743	C₂²⋊C₈	—	4	1	no	—
744	C₂²⋊C₈	—	4	1	no	—
745	C₂²⋊C₈	—	4	1	no	—
746	C₂²⋊C₈	—	4	1	no	—
747	C₂²⋊C₈	—	4	1	no	—
748	C₂²⋊C₈	—	4	1	no	—
749	C₂²⋊C₈	—	4	1	no	—
750	C₂²⋊C₈	—	4	1	no	—
751	C₂²⋊C₈	—	4	1	no	—
752	C₂²⋊C₈	—	4	1	no	—
753	C₂²⋊C₈	—	4	1	no	—
754	C₂²⋊C₈	—	4	1	no	—
755	C₂²⋊C₈	—	4	1	no	—
756	C₂²⋊C₈	—	4	1	no	—
757	C₂²⋊C₈	—	4	1	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	#97	—	2	2	no	—
764	#97	—	2	2	no	—
765	#97	—	2	2	no	—
766	#97	—	2	2	no	—
767	#97	—	4	1	no	—
768	#97	—	4	1	no	—
769	#97	—	4	1	no	—
770	C₄×C₈	—	2	2	no	—
771	C₄×C₈	—	2	2	no	—
772	C₄×C₈	—	2	2	no	—
773	C₄×C₈	—	2	2	no	—
774	C₄×C₈	—	2	2	no	—
775	C₄×C₈	—	4	1	no	—
776	C₄×C₈	—	4	1	no	—
777	C₄×C₈	—	4	1	no	—
778	C₄×C₈	—	4	1	no	—
779	C₄×C₈	—	4	1	no	—
780	C₄×C₈	—	4	1	no	—
781	#95	C₂²×C₄	1	1	yes	characteristic
782	#95	C₂²×C₄	1	1	yes	characteristic
783	#95	C₂²×C₄	1	1	yes	characteristic
784	#95	C₂²×C₄	1	1	yes	characteristic
785	#95	C₂²×C₄	1	1	yes	characteristic
786	#95	C₂²×C₄	1	1	yes	characteristic
787	#95	C₂²×C₄	1	1	yes	characteristic
788	#95	C₂²×C₄	1	1	yes	characteristic
789	#95	C₂²×C₄	1	1	yes	characteristic
790	#95	C₂²×C₄	1	1	yes	characteristic
791	#95	C₂²×C₄	1	1	yes	characteristic
792	#95	C₂²×C₄	1	1	yes	characteristic
793	#95	C₂²×C₄	1	1	yes	characteristic
794	#95	C₂²×C₄	1	1	yes	characteristic
795	#95	C₂²×C₄	1	1	yes	characteristic
796	#95	C₂²×C₄	1	1	yes	characteristic
797	#95	C₂²×C₄	1	1	yes	characteristic
798	#95	C₂²×C₄	1	1	yes	characteristic
799	#95	C₂²×C₄	1	1	yes	characteristic
800	#95	C₂²×C₄	1	1	yes	characteristic
801	#95	C₂²×C₄	1	1	yes	characteristic
802	#95	C₂²×C₄	1	1	yes	characteristic
803	#95	C₂²×C₄	1	1	yes	characteristic
804	#95	C₂²×C₄	1	1	yes	characteristic
805	#95	C₂²×C₄	1	1	yes	characteristic
806	#95	C₂²×C₄	1	1	yes	characteristic
807	#95	C₂²×C₄	1	1	yes	characteristic
808	#95	C₂²×C₄	1	1	yes	characteristic
809	#95	C₂²×C₄	1	1	yes	characteristic
810	#95	C₂²×C₄	1	1	yes	characteristic
811	#95	C₂²×C₄	1	1	yes	characteristic
812	#95	C₂²×C₄	1	1	yes	characteristic
813	#95	C₂²×C₄	1	1	yes	characteristic
814	#95	C₂²×C₄	1	1	yes	characteristic
815	#95	C₂²×C₄	1	1	yes	characteristic
816	#95	C₂²×C₄	1	1	yes	characteristic
817	#95	C₂²×C₄	1	1	yes	characteristic
818	#95	C₂²×C₄	1	1	yes	characteristic
819	#95	C₂²×C₄	1	1	yes	characteristic
820	#95	C₂²×C₄	1	1	yes	characteristic
821	C₂⁴	—	2	2	no	—
822	C₂⁴	—	4	1	no	—
823	C₂⁴	—	4	1	no	—
824	C₂⁴	—	4	1	no	—
825	C₂⁴	—	4	1	no	—
826	C₂⁴	—	4	1	no	—
827	C₂⁴	—	4	1	no	—
828	C₂⁴	C₂³×C₄	1	1	yes	characteristic
829	C₂⁴	C₂³×C₄	1	1	yes	characteristic
830	C₂⁴	C₂³×C₄	1	1	yes	characteristic
831	C₂⁴	C₂³×C₄	1	1	yes	characteristic
832	C₂⁴	C₂³×C₄	1	1	yes	characteristic
833	C₂⁴	C₂³×C₄	1	1	yes	characteristic
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	2	no	—
839	C₂×D₄	—	2	2	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	4	1	no	—
846	C₂×D₄	—	4	1	no	—
847	C₂×D₄	—	4	1	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	1	no	—
850	C₂×D₄	—	4	1	no	—
851	C₂×D₄	—	4	1	no	—
852	C₂×D₄	—	4	1	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	—	4	1	no	—
855	C₂×D₄	—	4	1	no	—
856	C₂×D₄	—	4	1	no	—
857	C₂×D₄	—	4	1	no	—
858	C₂×D₄	—	4	1	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂×D₄	—	4	1	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	—	4	1	no	—
866	C₂×D₄	—	4	1	no	—
867	C₂×D₄	—	4	1	no	—
868	C₂×D₄	—	4	1	no	—
869	C₂×D₄	—	4	1	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	1	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	4	1	no	—
911	C₂²×C₄	—	4	1	no	—
912	C₂²×C₄	—	4	1	no	—
913	C₂²×C₄	—	4	1	no	—
914	C₂²×C₄	—	4	1	no	—
915	C₂²×C₄	—	4	1	no	—
916	C₂²×C₄	—	4	1	no	—
917	C₂²×C₄	—	4	1	no	—
918	C₂²×C₄	—	4	1	no	—
919	C₂²×C₄	—	4	1	no	—
920	C₂²×C₄	—	4	1	no	—
921	C₂²×C₄	—	4	1	no	—
922	C₂²×C₄	—	4	1	no	—
923	C₂²×C₄	—	4	1	no	—
924	C₂²×C₄	—	4	1	no	—
925	C₂²×C₄	—	4	1	no	—
926	C₂²×C₄	—	4	1	no	—
927	C₂²×C₄	—	4	4	no	—
928	C₂²×C₄	—	4	4	no	—
929	C₂²×C₄	—	4	4	no	—
930	C₂²×C₄	—	4	4	no	—
931	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
932	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
933	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
938	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
941	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
942	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
943	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
944	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
945	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
946	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
947	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
948	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
949	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
950	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
951	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
952	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
953	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
954	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
955	C₂²×C₄	C₂⁵	1	1	yes	characteristic
956	M₁₆	—	4	4	no	—
957	M₁₆	—	4	4	no	—
958	M₁₆	—	4	4	no	—
959	M₁₆	—	4	4	no	—
960	M₁₆	—	4	4	no	—
961	M₁₆	—	4	4	no	—
962	M₁₆	—	4	4	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	—	2	1	no	—
976	C₂×C₈	—	2	1	no	—
977	C₂×C₈	—	2	1	no	—
978	C₂×C₈	—	2	1	no	—
979	C₂×C₈	—	2	1	no	—
980	C₂×C₈	—	2	1	no	—
981	C₂×C₈	—	2	1	no	—
982	C₂×C₈	—	2	1	no	—
983	C₂×C₈	—	2	1	no	—
984	C₂×C₈	—	2	1	no	—
985	C₂×C₈	—	2	1	no	—
986	C₂×C₈	—	2	1	no	—
987	C₂×C₈	—	2	1	no	—
988	C₂×C₈	—	2	1	no	—
989	C₂×C₈	—	2	1	no	—
990	C₂×C₈	—	2	1	no	—
991	C₂×C₈	—	2	1	no	—
992	C₂×C₈	—	2	1	no	—
993	C₂×C₈	—	2	1	no	—
994	C₂×C₈	—	2	1	no	—
995	C₂×C₈	—	2	1	no	—
996	C₂×C₈	—	2	1	no	—
997	C₂×C₈	—	2	1	no	—
998	C₂×C₈	—	2	1	no	—
999	C₂×C₈	—	2	1	no	—
1000	C₂×C₈	—	2	1	no	—
1001	C₂×C₈	—	2	1	no	—
1002	C₂×C₈	—	2	1	no	—
1003	C₂×C₈	—	2	1	no	—
1004	C₂×C₈	—	2	1	no	—
1005	C₂×C₈	—	2	1	no	—
1006	C₂×C₈	—	2	1	no	—
1007	C₂×C₈	—	2	1	no	—
1008	C₂×C₈	—	4	4	no	—
1009	C₂×C₈	—	4	4	no	—
1010	C₂×C₈	—	4	4	no	—
1011	C₂×C₈	—	4	4	no	—
1012	C₂×C₈	—	4	4	no	—
1013	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1014	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1015	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	4	1	no	—
1023	C₄⋊C₄	—	4	1	no	—
1024	C₄⋊C₄	—	4	1	no	—
1025	C₄⋊C₄	—	4	1	no	—
1026	C₄⋊C₄	—	4	1	no	—
1027	C₄⋊C₄	—	4	1	no	—
1028	C₄⋊C₄	—	4	1	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	—	4	1	no	—
1031	C₄⋊C₄	—	4	1	no	—
1032	C₄⋊C₄	—	4	1	no	—
1033	C₄⋊C₄	—	4	1	no	—
1034	C₄⋊C₄	—	4	1	no	—
1035	C₄⋊C₄	—	4	1	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	2	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	4	1	no	—
1053	C₂²⋊C₄	—	4	1	no	—
1054	C₂²⋊C₄	—	4	1	no	—
1055	C₂²⋊C₄	—	4	1	no	—
1056	C₂²⋊C₄	—	4	1	no	—
1057	C₂²⋊C₄	—	4	1	no	—
1058	C₂²⋊C₄	—	4	1	no	—
1059	C₂²⋊C₄	—	4	1	no	—
1060	C₂²⋊C₄	—	4	1	no	—
1061	C₂²⋊C₄	—	4	1	no	—
1062	C₂²⋊C₄	—	4	1	no	—
1063	C₂²⋊C₄	—	4	1	no	—
1064	C₂²⋊C₄	—	4	1	no	—
1065	C₂²⋊C₄	—	4	1	no	—
1066	C₂²⋊C₄	—	4	1	no	—
1067	C₂²⋊C₄	—	4	1	no	—
1068	C₂²⋊C₄	—	4	1	no	—
1069	C₂²⋊C₄	—	4	1	no	—
1070	C₂²⋊C₄	—	4	1	no	—
1071	C₂²⋊C₄	—	4	1	no	—
1072	C₂²⋊C₄	—	4	1	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	no	—
1076	C₂²⋊C₄	—	4	1	no	—
1077	C₂²⋊C₄	—	4	1	no	—
1078	C₂²⋊C₄	—	4	1	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	1	no	—
1081	C₂²⋊C₄	—	4	1	no	—
1082	C₂²⋊C₄	—	4	1	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	1	no	—
1085	C₂²⋊C₄	—	4	1	no	—
1086	C₂²⋊C₄	—	4	1	no	—
1087	C₂²⋊C₄	—	4	1	no	—
1088	C₂²⋊C₄	—	4	1	no	—
1089	C₂²⋊C₄	—	4	1	no	—
1090	C₂²⋊C₄	—	4	1	no	—
1091	C₂²⋊C₄	#131	1	4	yes	—
1092	C₄²	—	2	1	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	—	2	1	no	—
1097	C₄²	—	2	1	no	—
1098	C₄²	—	2	1	no	—
1099	C₄²	—	2	1	no	—
1100	C₄²	—	2	1	no	—
1101	C₄²	—	2	1	no	—
1102	C₄²	—	2	1	no	—
1103	C₄²	—	2	1	no	—
1104	C₄²	—	2	1	no	—
1105	C₄²	—	2	1	no	—
1106	C₄²	—	2	1	no	—
1107	C₄²	—	2	1	no	—
1108	C₄²	—	2	1	no	—
1109	C₄²	—	2	1	no	—
1110	C₄²	—	4	1	no	—
1111	C₄²	—	4	1	no	—
1112	C₄²	—	4	1	no	—
1113	C₄²	—	4	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	1	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	—	2	1	no	—
1125	C₂³	—	2	1	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	2	1	no	—
1128	C₂³	—	2	1	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	1	no	—
1133	C₂³	—	2	1	no	—
1134	C₂³	—	2	1	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	4	4	no	—
1155	C₂³	—	8	2	no	—
1156	C₂³	—	8	2	no	—
1157	C₂³	—	8	2	no	—
1158	C₂³	—	8	2	no	—
1159	C₂³	—	8	2	no	—
1160	C₂³	—	8	2	no	—
1161	C₂³	C₂×#131	1	2	yes	—
1162	C₂³	#568	1	2	yes	—
1163	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1164	D₄	—	4	4	no	—
1165	D₄	—	8	2	no	—
1166	D₄	—	8	2	no	—
1167	D₄	—	8	2	no	—
1168	D₄	—	8	2	no	—
1169	D₄	—	8	2	no	—
1170	D₄	—	8	2	no	—
1171	D₄	—	8	2	no	—
1172	D₄	—	8	2	no	—
1173	D₄	—	8	2	no	—
1174	D₄	—	8	2	no	—
1175	D₄	—	8	2	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	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	—	4	4	no	—
1246	C₂×C₄	—	4	4	no	—
1247	C₂×C₄	—	4	4	no	—
1248	C₂×C₄	—	4	4	no	—
1249	C₂×C₄	—	4	4	no	—
1250	C₂×C₄	—	4	1	no	—
1251	C₂×C₄	—	4	1	no	—
1252	C₂×C₄	—	4	1	no	—
1253	C₂×C₄	—	4	1	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	1	no	—
1256	C₂×C₄	—	4	1	no	—
1257	C₂×C₄	—	4	1	no	—
1258	C₂×C₄	—	4	1	no	—
1259	C₂×C₄	—	4	1	no	—
1260	C₂×C₄	—	4	1	no	—
1261	C₂×C₄	—	4	1	no	—
1262	C₂×C₄	—	4	1	no	—
1263	C₂×C₄	—	4	1	no	—
1264	C₂×C₄	—	4	1	no	—
1265	C₂×C₄	—	4	1	no	—
1266	C₂×C₄	—	4	1	no	—
1267	C₂×C₄	—	4	1	no	—
1268	C₂×C₄	—	4	1	no	—
1269	C₂×C₄	—	4	1	no	—
1270	C₂×C₄	—	4	1	no	—
1271	C₂×C₄	—	4	1	no	—
1272	C₂×C₄	—	4	1	no	—
1273	C₂×C₄	—	4	1	no	—
1274	C₂×C₄	—	8	2	no	—
1275	C₂×C₄	—	8	2	no	—
1276	C₂×C₄	C₂×#131	1	2	yes	—
1277	C₂×C₄	C₂×#131	1	2	yes	—
1278	C₂×C₄	#568	1	2	yes	—
1279	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1280	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1281	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1282	C₂×C₄	#585	1	1	yes	characteristic
1283	C₂×C₄	#585	1	1	yes	characteristic
1284	C₂×C₄	#585	1	1	yes	characteristic
1285	C₈	—	4	1	no	—
1286	C₈	—	4	1	no	—
1287	C₈	—	4	1	no	—
1288	C₈	—	4	1	no	—
1289	C₈	—	4	1	no	—
1290	C₈	—	4	1	no	—
1291	C₈	—	4	1	no	—
1292	C₈	—	4	1	no	—
1293	C₈	—	4	1	no	—
1294	C₈	—	4	1	no	—
1295	C₈	—	4	1	no	—
1296	C₈	—	4	1	no	—
1297	C₈	—	4	1	no	—
1298	C₈	—	4	1	no	—
1299	C₈	—	4	1	no	—
1300	C₈	#560	1	4	yes	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	4	1	no	—
1316	C₂²	—	4	1	no	—
1317	C₂²	—	4	1	no	—
1318	C₂²	—	4	1	no	—
1319	C₂²	—	4	1	no	—
1320	C₂²	—	4	1	no	—
1321	C₂²	—	4	1	no	—
1322	C₂²	—	4	1	no	—
1323	C₂²	—	4	1	no	—
1324	C₂²	—	4	1	no	—
1325	C₂²	—	4	1	no	—
1326	C₂²	—	4	1	no	—
1327	C₂²	—	4	1	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	1	no	—
1330	C₂²	—	4	1	no	—
1331	C₂²	—	4	1	no	—
1332	C₂²	—	4	1	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	8	8	no	—
1344	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1346	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1347	C₂²	C₂²×#131	1	1	yes	characteristic
1348	C₂²	C₂×#568	1	1	yes	characteristic
1349	C₂²	C₂×#568	1	1	yes	characteristic
1350	C₂²	#3573	1	1	yes	characteristic
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	4	1	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	C₂×#560	1	1	yes	characteristic
1376	C₄	#3529	1	1	yes	characteristic
1377	C₄	#3529	1	1	yes	characteristic
1378	C₄	#3529	1	1	yes	characteristic
1379	C₂	—	4	2	no	—
1380	C₂	—	4	2	no	—
1381	C₂	—	8	1	no	—
1382	C₂	—	8	1	no	—
1383	C₂	—	8	1	no	—
1384	C₂	—	8	1	no	—
1385	C₂	C₄×#560	1	1	yes	characteristic
1386	C₂	#60311	1	1	yes	characteristic
1387	C₂	#60313	1	1	yes	characteristic
1388	C₂	#60321	1	1	yes	characteristic
1389	C₂	#60322	1	1	yes	characteristic
1390	C₂	#60323	1	1	yes	characteristic
1391	C₂	#60324	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#52292	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. #23382	C₂	semidirect
3. #23381	C₂	semidirect
4. #23358	C₂	semidirect
5. #23332	C₂	semidirect
6. #23331	C₂	semidirect
7. #23331	C₂	semidirect
8. #23329	C₂	semidirect
9. #23328	C₂	semidirect
10. #23327	C₂	semidirect
11. #23319	C₂	semidirect
12. #23318	C₂	semidirect
13. #23314	C₂	semidirect
14. #23308	C₂	semidirect
15. #23307	C₂	semidirect
16. #23306	C₂	semidirect
17. #21685	C₂	semidirect
18. #21671	C₂	semidirect
19. #21671	C₂	semidirect
20. #21568	C₂	semidirect
21. #21562	C₂	semidirect
22. C₈×#123	C₂	semidirect
23. #21496	C₂	semidirect
24. #21494	C₂	semidirect
25. #21490	C₂	semidirect
26. #21488	C₂	semidirect
27. #21487	C₂	semidirect
28. #21487	C₂	semidirect
29. #21441	C₂	semidirect
30. #21441	C₂	semidirect
31. #21439	C₂	semidirect
37. C₂×#436	C₂²	semidirect
42. C₂×#435	C₂²	semidirect
43. C₂×#435	C₂²	semidirect
45. C₂×#405	C₂²	semidirect
46. C₂×C₄×M₁₆	C₂²	semidirect
47. C₂²×C₄×C₈	C₂²	semidirect
82. #1955	C₂²	semidirect
89. #1954	C₂²	semidirect
90. #1954	C₂²	semidirect
91. #1940	C₂²	semidirect
92. #1940	C₂²	semidirect
93. #1939	C₂²	semidirect
94. #1939	C₂²	semidirect
95. #1939	C₂²	semidirect
96. #1939	C₂²	semidirect
103. #1924	C₂²	semidirect
104. #1924	C₂²	semidirect
117. #1923	C₂²	semidirect
118. #1923	C₂²	semidirect
119. #1923	C₂²	semidirect
120. #1923	C₂²	semidirect
121. #1917	C₂²	semidirect
122. #1917	C₂²	semidirect
123. #1917	C₂²	semidirect
124. #1917	C₂²	semidirect
125. #1916	C₂²	semidirect
126. #1916	C₂²	semidirect
127. #1916	C₂²	semidirect
128. #1916	C₂²	semidirect
129. #1916	C₂²	semidirect
130. #1916	C₂²	semidirect
131. #1916	C₂²	semidirect
132. #1916	C₂²	semidirect
142. #1870	C₂²	semidirect
143. #1870	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1869	C₂²	semidirect
156. #1869	C₂²	semidirect
163. #1851	C₂²	semidirect
167. #1850	C₂²	semidirect
168. #1850	C₂²	semidirect
169. #1843	C₂²	semidirect
170. #1840	C₂²	semidirect
171. #1840	C₂²	semidirect
172. #1818	C₂²	semidirect
173. #1817	C₂²	semidirect
174. #1817	C₂²	semidirect
175. #1798	C₂²	semidirect
176. #1798	C₂²	semidirect
177. #1797	C₂²	semidirect
178. #1797	C₂²	semidirect
179. #1797	C₂²	semidirect
180. #1797	C₂²	semidirect
184. #1771	C₂²	semidirect
185. #1771	C₂²	semidirect
186. #1770	C₂²	semidirect
187. #1770	C₂²	semidirect
188. C₈×C₄⋊C₄	C₂²	semidirect
189. C₈×C₄⋊C₄	C₂²	semidirect
196. #1753	C₂²	semidirect
197. #1753	C₂²	semidirect
201. C₈×C₂²⋊C₄	C₂²	semidirect
202. #1726	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#52292	2
#23382	2
#23381	2
#23358	2
#23332	2
#23331	2
#23329	2
#23328	2
#23327	2
#23319	2
#23318	2
#23314	2
#23308	2
#23307	2
#23306	2
#21685	2
#21671	2
#21568	2
#21562	2
C₈×#123	2
#21496	2
#21494	2
#21490	2
#21488	2
#21487	2
#21441	2
#21439	2