Subgroups — #6384259

Order 512.

2379 conjugacy classes of subgroups.

The subgroup lattice has 1500 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2968	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	#34670	C₂	1	1	yes	maximal, characteristic
4	#23211	C₂	1	1	yes	maximal, characteristic, complemented
5	#23123	C₂	1	1	yes	maximal, characteristic, complemented
6	#23116	C₂	1	1	yes	maximal, characteristic, complemented
7	#23089	C₂	1	1	yes	maximal, characteristic, complemented
8	#22954	C₂	1	1	yes	maximal, characteristic, complemented
9	#22909	C₂	1	1	yes	maximal, characteristic, complemented
10	#22900	C₂	1	1	yes	maximal, characteristic, complemented
11	#22846	C₂	1	1	yes	maximal, characteristic, complemented
12	#22842	C₂	1	1	yes	maximal, characteristic, complemented
13	#22754	C₂	1	1	yes	maximal, characteristic, complemented
14	#22697	C₂	1	1	yes	maximal, characteristic, complemented
15	#22558	C₂	1	1	yes	maximal, characteristic, complemented
16	#22552	C₂	1	1	yes	maximal, characteristic, complemented
17	#22470	C₂	1	1	yes	maximal, characteristic, complemented
18	#22399	C₂	1	1	yes	maximal, characteristic, complemented
19	#21638	C₂	1	1	yes	maximal, characteristic, complemented
20	#21597	C₂	1	1	yes	maximal, characteristic, complemented
21	#21567	C₂	1	1	yes	maximal, characteristic, complemented
22	#21561	C₂	1	1	yes	maximal, characteristic, complemented
23	#21495	C₂	1	1	yes	maximal, characteristic, complemented
24	#21492	C₂	1	1	yes	maximal, characteristic, complemented
25	#21489	C₂	1	1	yes	maximal, characteristic, complemented
26	#21440	C₂	1	1	yes	maximal, characteristic, complemented
27	#21440	C₂	1	1	yes	maximal, characteristic, complemented
28	#20493	C₂	1	1	yes	maximal, characteristic, complemented
29	#20484	C₂	1	1	yes	maximal, characteristic, complemented
30	#20385	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#1752	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₈	C₂²	1	1	yes	characteristic
33	C₂⁴×C₈	C₂²	1	1	yes	characteristic
34	C₂×#529	C₂²	1	1	yes	characteristic
35	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
36	#2968	—	2	8	no	—
37	C₂×#446	C₂²	1	1	yes	characteristic, complemented
38	C₂×#446	C₂²	1	1	yes	characteristic, complemented
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic, complemented
43	C₂×#435	C₂²	1	1	yes	characteristic, complemented
44	C₂×#435	C₂²	1	1	yes	characteristic, complemented
45	C₂×#435	C₂²	1	1	yes	characteristic, complemented
46	C₂×#435	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₈×D₄	—	2	8	no	—
48	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
53	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
57	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×#433	C₂²	1	1	yes	characteristic, complemented
59	C₂×#433	C₂²	1	1	yes	characteristic, complemented
60	C₂×#431	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
62	C₂×#407	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
65	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
66	C₂×#405	C₂²	1	1	yes	characteristic, complemented
67	C₂×#405	C₂²	1	1	yes	characteristic, complemented
68	C₂×#405	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
70	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
71	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic
72	#2481	C₄	1	1	yes	characteristic
73	#2480	C₄	1	1	yes	characteristic
74	#2473	C₄	1	1	yes	characteristic
75	#2472	C₄	1	1	yes	characteristic
76	#2467	C₄	1	1	yes	characteristic
77	#2466	C₄	1	1	yes	characteristic
78	#2460	C₄	1	1	yes	characteristic
79	#2459	C₄	1	1	yes	characteristic
80	#2450	C₄	1	1	yes	characteristic
81	#2444	C₄	1	1	yes	characteristic
82	#2437	C₄	1	1	yes	characteristic
83	#2425	C₄	1	1	yes	characteristic
84	#2419	C₄	1	1	yes	characteristic
85	#2412	C₄	1	1	yes	characteristic
86	#2410	C₄	1	1	yes	characteristic
87	#2405	C₄	1	1	yes	characteristic
88	#2398	C₂²	1	1	yes	characteristic
89	#2395	C₂²	1	1	yes	characteristic
90	#2392	C₂²	1	1	yes	characteristic
91	#2392	C₂²	1	1	yes	characteristic
92	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
93	C₄×#123	C₂²	1	1	yes	characteristic
94	C₄×#121	C₂²	1	1	yes	characteristic
95	C₄×#120	C₂²	1	1	yes	characteristic
96	C₄×#120	C₂²	1	1	yes	characteristic
97	#2290	C₂²	1	1	yes	characteristic
98	#2290	C₂²	1	1	yes	characteristic
99	#2280	C₂²	1	1	yes	characteristic
100	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
101	#1985	C₂²	1	1	yes	characteristic, complemented
102	#1984	C₂²	1	1	yes	characteristic, complemented
103	#1955	C₂²	1	1	yes	characteristic
104	#1955	C₂²	1	1	yes	characteristic
105	#1955	C₂²	1	1	yes	characteristic, complemented
106	#1954	C₂²	1	1	yes	characteristic, complemented
107	#1940	C₂²	1	1	yes	characteristic, complemented
108	#1940	C₂²	1	1	yes	characteristic, complemented
109	#1939	C₂²	1	1	yes	characteristic, complemented
110	#1939	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic, complemented
112	#1924	C₂²	1	1	yes	characteristic, complemented
113	#1924	C₂²	1	1	yes	characteristic, complemented
114	#1924	C₂²	1	1	yes	characteristic, complemented
115	#1923	C₂²	1	1	yes	characteristic, complemented
116	#1923	C₂²	1	1	yes	characteristic, complemented
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	#1923	C₂²	1	1	yes	characteristic, complemented
122	#1923	C₂²	1	1	yes	characteristic, complemented
123	#1923	C₂²	1	1	yes	characteristic, complemented
124	#1923	C₂²	1	1	yes	characteristic, complemented
125	#1917	C₂²	1	1	yes	characteristic, complemented
126	#1917	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	#1870	C₂²	1	1	yes	characteristic
132	#1870	C₂²	1	1	yes	characteristic
133	#1870	C₂²	1	1	yes	characteristic, complemented
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, complemented
139	#1869	C₂²	1	1	yes	characteristic, complemented
140	#1869	C₂²	1	1	yes	characteristic, complemented
141	#1869	C₂²	1	1	yes	characteristic, complemented
142	#1869	C₂²	1	1	yes	characteristic, complemented
143	#1869	C₂²	1	1	yes	characteristic, complemented
144	#1869	C₂²	1	1	yes	characteristic, complemented
145	#1851	C₂²	1	1	yes	characteristic, complemented
146	#1850	C₂²	1	1	yes	characteristic
147	#1850	C₂²	1	1	yes	characteristic
148	#1850	C₂²	1	1	yes	characteristic
149	#1850	C₂²	1	1	yes	characteristic
150	#1850	C₂²	1	1	yes	characteristic, complemented
151	#1850	C₂²	1	1	yes	characteristic, complemented
152	#1850	C₂²	1	1	yes	characteristic, complemented
153	#1850	C₂²	1	1	yes	characteristic, complemented
154	#1850	C₂²	1	1	yes	characteristic, complemented
155	#1832	C₂²	1	1	yes	characteristic, complemented
156	#1818	C₂²	1	1	yes	characteristic, complemented
157	#1817	C₂²	1	1	yes	characteristic, complemented
158	#1798	C₂²	1	1	yes	characteristic, complemented
159	#1798	C₂²	1	1	yes	characteristic, complemented
160	#1797	C₂²	1	1	yes	characteristic
161	#1797	C₂²	1	1	yes	characteristic, complemented
162	#1779	C₂²	1	1	yes	characteristic
163	#1779	C₂²	1	1	yes	characteristic
164	#1771	C₂²	1	1	yes	characteristic, complemented
165	#1771	C₂²	1	1	yes	characteristic, complemented
166	#1771	C₂²	1	1	yes	characteristic, complemented
167	#1771	C₂²	1	1	yes	characteristic, complemented
168	#1770	C₂²	1	1	yes	characteristic, complemented
169	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	#1768	C₂²	1	1	yes	characteristic, complemented
171	#1768	C₂²	1	1	yes	characteristic, complemented
172	#1753	C₂²	1	1	yes	characteristic, complemented
173	#1753	C₂²	1	1	yes	characteristic, complemented
174	#1752	C₂²	1	1	yes	characteristic
175	#1752	C₂²	1	1	yes	characteristic
176	#1752	C₂²	1	1	yes	characteristic
177	#1752	C₂²	1	1	yes	characteristic
178	#1752	C₂²	1	1	yes	characteristic
179	#1752	C₂²	1	1	yes	characteristic, complemented
180	#1752	C₂²	1	1	yes	characteristic, complemented
181	#1752	C₂²	1	1	yes	characteristic, complemented
182	#1752	C₂²	1	1	yes	characteristic, complemented
183	#1752	C₂²	1	1	yes	characteristic, complemented
184	#1752	C₂²	1	1	yes	characteristic, complemented
185	#1752	C₂²	1	1	yes	characteristic, complemented
186	#1752	C₂²	1	1	yes	characteristic, complemented
187	#1752	C₂²	1	1	yes	characteristic, complemented
188	#1752	C₂²	1	1	yes	characteristic, complemented
189	C₈×C₂²⋊C₄	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, complemented
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	#1750	C₂²	1	1	yes	characteristic, complemented
197	#1750	C₂²	1	1	yes	characteristic, complemented
198	#1749	C₂²	1	1	yes	characteristic
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	#1729	C₂²	1	1	yes	characteristic, complemented
201	#1729	C₂²	1	1	yes	characteristic, complemented
202	C₂×#336	C₂²	1	1	yes	characteristic, complemented
203	C₂×#336	C₂²	1	1	yes	characteristic, complemented
204	#1726	C₂²	1	1	yes	characteristic, complemented
205	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
206	C₂⁴×C₄	C₂³	1	1	yes	characteristic
207	C₂⁴×C₄	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂³×C₈	—	2	4	no	—
212	C₂³×C₈	—	2	4	no	—
213	C₂³×C₈	—	2	4	no	—
214	C₂³×C₈	—	2	4	no	—
215	C₂³×C₈	—	4	2	no	—
216	C₂³×C₈	—	4	2	no	—
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	C₂³×C₈	C₂³	1	1	yes	characteristic
226	C₂³×C₈	C₂³	1	1	yes	characteristic
227	C₂³×C₈	C₂³	1	1	yes	characteristic
228	C₂³×C₈	C₂³	1	1	yes	characteristic
229	C₂³×C₈	C₂³	1	1	yes	characteristic
230	C₂³×C₈	C₂³	1	1	yes	characteristic
231	C₂³×C₈	C₂³	1	1	yes	characteristic
232	#529	—	2	4	no	—
233	#529	—	2	4	no	—
234	C₂×#126	C₂×C₄	1	1	yes	characteristic
235	C₂×#126	C₂×C₄	1	1	yes	characteristic
236	C₂×#125	C₂×C₄	1	1	yes	characteristic
237	C₂×#124	C₂×C₄	1	1	yes	characteristic
238	C₂×#123	C₂×C₄	1	1	yes	characteristic
239	C₂×#123	C₂×C₄	1	1	yes	characteristic
240	C₂×#123	C₂×C₄	1	1	yes	characteristic
241	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
242	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
243	C₂×#121	C₂×C₄	1	1	yes	characteristic
244	C₂×#121	C₂×C₄	1	1	yes	characteristic
245	C₂×#120	C₂×C₄	1	1	yes	characteristic
246	C₂×#120	C₂×C₄	1	1	yes	characteristic
247	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₄	—	2	4	no	—
249	C₂×C₄×D₄	—	2	4	no	—
250	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
251	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
252	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
253	C₂×C₄×D₄	C₂×C₄	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×#117	C₂³	1	1	yes	characteristic
264	C₂×#117	C₂³	1	1	yes	characteristic
265	C₂×#117	C₂³	1	1	yes	characteristic
266	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
267	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
268	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
269	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
270	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
271	C₂²×C₄²	C₂³	1	1	yes	characteristic
272	C₂²×C₄²	C₂³	1	1	yes	characteristic
273	C₂²×C₄²	C₂³	1	1	yes	characteristic
274	#446	—	2	4	no	—
275	#446	—	2	4	no	—
276	#435	—	2	4	no	—
277	#435	—	2	4	no	—
278	#435	—	2	4	no	—
279	#435	—	2	4	no	—
280	#435	—	2	4	no	—
281	#435	—	2	4	no	—
282	#435	—	4	2	no	—
283	#435	—	4	2	no	—
284	C₈×D₄	—	2	4	no	—
285	C₈×D₄	—	2	4	no	—
286	C₈×D₄	—	2	4	no	—
287	C₈×D₄	—	2	4	no	—
288	C₈×D₄	—	2	4	no	—
289	C₈×D₄	—	2	4	no	—
290	C₈×D₄	—	2	4	no	—
291	C₈×D₄	—	2	4	no	—
292	C₈×D₄	—	2	4	no	—
293	C₈×D₄	D₄	1	8	yes	complemented
294	#433	—	2	4	no	—
295	#433	—	2	4	no	—
296	#431	—	2	4	no	—
297	C₂×C₄⋊C₈	—	2	4	no	—
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	#407	—	2	4	no	—
315	C₂×C₂²⋊C₈	—	2	4	no	—
316	C₂×C₂²⋊C₈	—	2	4	no	—
317	C₂×C₂²⋊C₈	—	2	4	no	—
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
348	#405	—	2	4	no	—
349	#405	—	2	4	no	—
350	#405	—	4	2	no	—
351	C₂×#97	—	2	4	no	—
352	C₂×#97	—	4	2	no	—
353	C₂×#97	C₂³	1	1	yes	characteristic
354	C₂×#97	C₂³	1	1	yes	characteristic
355	C₂×#97	C₂³	1	1	yes	characteristic
356	C₂×#97	C₂³	1	1	yes	characteristic
357	C₂×#97	C₂³	1	1	yes	characteristic
358	C₂×#97	C₂³	1	1	yes	characteristic
359	C₂×#97	C₂³	1	1	yes	characteristic
360	C₂×#97	C₂³	1	1	yes	characteristic
361	C₂×#97	C₂³	1	1	yes	characteristic
362	C₂×#97	C₂³	1	1	yes	characteristic
363	C₂×#97	C₂³	1	1	yes	characteristic
364	C₂×#97	C₂³	1	1	yes	characteristic
365	C₂×#97	C₂³	1	1	yes	characteristic
366	C₂×C₄×C₈	—	2	4	no	—
367	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
368	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
369	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
370	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
371	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
372	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
373	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
374	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
375	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
376	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
377	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
378	#400	C₂×C₄	1	1	yes	characteristic
379	#400	C₂×C₄	1	1	yes	characteristic
380	#400	C₂×C₄	1	1	yes	characteristic
381	#399	C₂×C₄	1	1	yes	characteristic
382	#398	C₂×C₄	1	1	yes	characteristic
383	#398	C₂×C₄	1	1	yes	characteristic
384	#398	C₂×C₄	1	1	yes	characteristic
385	#397	C₂×C₄	1	1	yes	characteristic
386	#397	C₂×C₄	1	1	yes	characteristic
387	#397	C₂×C₄	1	1	yes	characteristic
388	#397	C₂×C₄	1	1	yes	characteristic
389	#397	C₂×C₄	1	1	yes	characteristic
390	#397	C₂×C₄	1	1	yes	characteristic
391	#397	C₂×C₄	1	1	yes	characteristic
392	#396	C₂×C₄	1	1	yes	characteristic
393	#396	C₂×C₄	1	1	yes	characteristic
394	#396	C₂×C₄	1	1	yes	characteristic
395	#396	C₂×C₄	1	1	yes	characteristic
396	#394	C₂×C₄	1	1	yes	characteristic
397	#394	C₂×C₄	1	1	yes	characteristic
398	#394	C₂×C₄	1	1	yes	characteristic
399	#394	C₂×C₄	1	1	yes	characteristic
400	#394	C₂×C₄	1	1	yes	characteristic
401	#394	C₂×C₄	1	1	yes	characteristic
402	#394	C₂×C₄	1	1	yes	characteristic
403	#394	C₂×C₄	1	1	yes	characteristic
404	#394	C₂×C₄	1	1	yes	characteristic
405	#394	C₂×C₄	1	1	yes	characteristic
406	#393	C₂×C₄	1	1	yes	characteristic
407	#393	C₂×C₄	1	1	yes	characteristic
408	#392	C₂×C₄	1	1	yes	characteristic
409	#392	C₂×C₄	1	1	yes	characteristic
410	#391	C₂×C₄	1	1	yes	characteristic
411	#390	C₂×C₄	1	1	yes	characteristic
412	#389	C₂×C₄	1	1	yes	characteristic
413	#389	C₂×C₄	1	1	yes	characteristic
414	#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	#387	C₂×C₄	1	1	yes	characteristic
423	#387	C₂×C₄	1	1	yes	characteristic
424	#387	C₂×C₄	1	1	yes	characteristic
425	#387	C₂×C₄	1	1	yes	characteristic
426	#387	C₂×C₄	1	1	yes	characteristic
427	#387	C₂×C₄	1	1	yes	characteristic
428	#387	C₂×C₄	1	1	yes	characteristic
429	#387	C₂×C₄	1	1	yes	characteristic
430	#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	#386	C₂×C₄	1	1	yes	characteristic
435	#386	C₂×C₄	1	1	yes	characteristic
436	#386	C₂×C₄	1	1	yes	characteristic
437	#386	C₂×C₄	1	1	yes	characteristic
438	#386	C₂×C₄	1	1	yes	characteristic
439	#386	C₂×C₄	1	1	yes	characteristic
440	#386	C₂×C₄	1	1	yes	characteristic
441	#386	C₂×C₄	1	1	yes	characteristic
442	#386	C₂×C₄	1	1	yes	characteristic
443	#385	C₂×C₄	1	1	yes	characteristic
444	#385	C₂×C₄	1	1	yes	characteristic
445	#385	C₂×C₄	1	1	yes	characteristic
446	#385	C₂×C₄	1	1	yes	characteristic
447	#385	C₂×C₄	1	1	yes	characteristic
448	#385	C₂×C₄	1	1	yes	characteristic
449	#385	C₂×C₄	1	1	yes	characteristic
450	#385	C₂×C₄	1	1	yes	characteristic
451	#385	C₂×C₄	1	1	yes	characteristic
452	#385	C₂×C₄	1	1	yes	characteristic
453	#385	C₂×C₄	1	1	yes	characteristic
454	#385	C₂×C₄	1	1	yes	characteristic
455	#385	C₂×C₄	1	1	yes	characteristic
456	#381	C₂×C₄	1	1	yes	characteristic
457	#381	C₂×C₄	1	1	yes	characteristic
458	#381	C₂×C₄	1	1	yes	characteristic
459	#380	C₂×C₄	1	1	yes	characteristic
460	#380	C₂×C₄	1	1	yes	characteristic
461	#380	C₂×C₄	1	1	yes	characteristic
462	#380	C₂×C₄	1	1	yes	characteristic
463	#380	C₂×C₄	1	1	yes	characteristic
464	#380	C₂×C₄	1	1	yes	characteristic
465	#379	C₂×C₄	1	1	yes	characteristic
466	#379	C₂×C₄	1	1	yes	characteristic
467	#379	C₂×C₄	1	1	yes	characteristic
468	#379	C₂×C₄	1	1	yes	characteristic
469	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
475	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
477	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
478	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
484	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
485	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
486	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
488	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
489	#376	C₂³	1	1	yes	characteristic
490	C₂×#95	C₂×C₄	1	1	yes	characteristic
491	C₂×#95	C₂×C₄	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	#336	C₂³	1	1	yes	characteristic
516	#336	C₂³	1	1	yes	characteristic
517	#336	C₂³	1	1	yes	characteristic
518	#336	C₂³	1	1	yes	characteristic
519	#336	C₂³	1	1	yes	characteristic
520	#336	C₂³	1	1	yes	characteristic
521	#336	C₂³	1	1	yes	characteristic
522	#336	C₂³	1	1	yes	characteristic
523	#336	C₂³	1	1	yes	characteristic
524	C₂⁵	C₂²×C₄	1	1	yes	characteristic
525	C₂⁵	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
527	C₂²×D₄	—	2	4	no	—
528	C₂²×D₄	—	2	4	no	—
529	C₂²×D₄	—	2	4	no	—
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	C₂³×C₄	—	2	2	no	—
540	C₂³×C₄	—	2	2	no	—
541	C₂³×C₄	—	2	2	no	—
542	C₂³×C₄	—	2	2	no	—
543	C₂³×C₄	—	2	2	no	—
544	C₂³×C₄	—	2	2	no	—
545	C₂³×C₄	—	2	2	no	—
546	C₂³×C₄	—	2	2	no	—
547	C₂³×C₄	—	4	1	no	—
548	C₂³×C₄	—	4	1	no	—
549	C₂³×C₄	—	4	1	no	—
550	C₂³×C₄	—	4	1	no	—
551	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
552	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
553	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
554	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
555	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
556	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
557	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
558	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
559	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
560	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
561	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
562	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
563	C₂³×C₄	C₂⁴	1	1	yes	characteristic
564	C₂³×C₄	C₂⁴	1	1	yes	characteristic
565	C₂³×C₄	C₂⁴	1	1	yes	characteristic
566	C₂³×C₄	C₂⁴	1	1	yes	characteristic
567	C₂³×C₄	C₂⁴	1	1	yes	characteristic
568	C₂³×C₄	C₂⁴	1	1	yes	characteristic
569	C₂×M₁₆	—	2	2	no	—
570	C₂×M₁₆	—	2	2	no	—
571	C₂×M₁₆	—	2	2	no	—
572	C₂×M₁₆	—	2	2	no	—
573	C₂×M₁₆	—	2	2	no	—
574	C₂×M₁₆	—	2	2	no	—
575	C₂×M₁₆	—	2	2	no	—
576	C₂×M₁₆	—	4	1	no	—
577	C₂×M₁₆	—	4	1	no	—
578	C₂²×C₈	—	2	2	no	—
579	C₂²×C₈	—	2	2	no	—
580	C₂²×C₈	—	2	2	no	—
581	C₂²×C₈	—	2	2	no	—
582	C₂²×C₈	—	2	2	no	—
583	C₂²×C₈	—	2	2	no	—
584	C₂²×C₈	—	2	2	no	—
585	C₂²×C₈	—	2	2	no	—
586	C₂²×C₈	—	2	2	no	—
587	C₂²×C₈	—	2	2	no	—
588	C₂²×C₈	—	2	2	no	—
589	C₂²×C₈	—	2	2	no	—
590	C₂²×C₈	—	2	2	no	—
591	C₂²×C₈	—	2	2	no	—
592	C₂²×C₈	—	2	2	no	—
593	C₂²×C₈	—	2	2	no	—
594	C₂²×C₈	—	2	2	no	—
595	C₂²×C₈	—	2	2	no	—
596	C₂²×C₈	—	2	2	no	—
597	C₂²×C₈	—	2	2	no	—
598	C₂²×C₈	—	2	2	no	—
599	C₂²×C₈	—	2	2	no	—
600	C₂²×C₈	—	2	2	no	—
601	C₂²×C₈	—	2	2	no	—
602	C₂²×C₈	—	2	2	no	—
603	C₂²×C₈	—	2	2	no	—
604	C₂²×C₈	—	2	2	no	—
605	C₂²×C₈	—	2	2	no	—
606	C₂²×C₈	—	2	2	no	—
607	C₂²×C₈	—	2	2	no	—
608	C₂²×C₈	—	2	2	no	—
609	C₂²×C₈	—	2	2	no	—
610	C₂²×C₈	—	4	1	no	—
611	C₂²×C₈	—	4	1	no	—
612	C₂²×C₈	—	4	1	no	—
613	C₂²×C₈	—	4	1	no	—
614	C₂²×C₈	—	4	1	no	—
615	C₂²×C₈	—	4	1	no	—
616	C₂²×C₈	—	4	1	no	—
617	C₂²×C₈	—	4	1	no	—
618	C₂²×C₈	—	4	1	no	—
619	C₂²×C₈	—	4	1	no	—
620	C₂²×C₈	—	4	16	no	—
621	C₂²×C₈	—	4	16	no	—
622	C₂²×C₈	C₂×D₄	1	4	yes	—
623	C₂²×C₈	C₂×D₄	1	4	yes	—
624	C₂²×C₈	#41	1	4	yes	—
625	C₂²×C₈	C₂⁴	1	1	yes	characteristic
626	C₂²×C₈	C₂⁴	1	1	yes	characteristic
627	C₂²×C₈	C₂⁴	1	1	yes	characteristic
628	C₂²×C₈	C₂⁴	1	1	yes	characteristic
629	C₂²×C₈	C₂⁴	1	1	yes	characteristic
630	C₂²×C₈	C₂⁴	1	1	yes	characteristic
631	C₂²×C₈	C₂⁴	1	1	yes	characteristic
632	C₂²×C₈	C₂⁴	1	1	yes	characteristic
633	C₂²×C₈	C₂⁴	1	1	yes	characteristic
634	C₂²×C₈	C₂⁴	1	1	yes	characteristic
635	C₂²×C₈	C₂⁴	1	1	yes	characteristic
636	C₂²×C₈	C₂⁴	1	1	yes	characteristic
637	C₂²×C₈	C₂⁴	1	1	yes	characteristic
638	C₂²×C₈	C₂⁴	1	1	yes	characteristic
639	C₂²×C₈	C₂⁴	1	1	yes	characteristic
640	C₂²×C₈	C₂⁴	1	1	yes	characteristic
641	#126	—	2	4	no	—
642	#126	—	2	4	no	—
643	#125	—	2	4	no	—
644	#124	—	2	4	no	—
645	#123	—	2	4	no	—
646	#123	—	2	4	no	—
647	#123	—	2	4	no	—
648	C₂²⋊Q₈	—	2	4	no	—
649	C₂²⋊Q₈	—	4	2	no	—
650	#121	—	2	4	no	—
651	#121	—	2	4	no	—
652	#120	—	2	4	no	—
653	#120	—	4	2	no	—
654	C₄×Q₈	—	2	2	no	—
655	C₄×Q₈	—	2	2	no	—
656	C₄×D₄	—	2	4	no	—
657	C₄×D₄	—	2	2	no	—
658	C₄×D₄	—	2	2	no	—
659	C₄×D₄	—	2	2	no	—
660	C₄×D₄	—	2	2	no	—
661	C₄×D₄	—	2	2	no	—
662	C₄×D₄	—	2	2	no	—
663	C₄×D₄	—	2	2	no	—
664	C₄×D₄	—	2	2	no	—
665	C₄×D₄	—	2	2	no	—
666	C₄×D₄	—	2	2	no	—
667	C₄×D₄	—	2	4	no	—
668	C₄×D₄	—	2	4	no	—
669	C₄×D₄	—	2	4	no	—
670	C₄×D₄	—	2	2	no	—
671	C₄×D₄	—	2	2	no	—
672	C₄×D₄	—	4	1	no	—
673	C₄×D₄	—	4	1	no	—
674	C₄×D₄	—	4	1	no	—
675	C₄×D₄	—	4	1	no	—
676	C₄×D₄	C₂×D₄	1	4	yes	—
677	C₄×D₄	#41	1	4	yes	—
678	#117	—	2	2	no	—
679	#117	—	2	2	no	—
680	#117	—	2	2	no	—
681	#117	—	2	2	no	—
682	#117	—	4	1	no	—
683	#117	—	4	1	no	—
684	C₂×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	—	2	4	no	—
712	C₂×C₂²⋊C₄	—	2	4	no	—
713	C₂×C₂²⋊C₄	—	2	4	no	—
714	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₂×C₄²	—	2	2	no	—
764	C₂×C₄²	—	2	2	no	—
765	C₂×C₄²	—	2	2	no	—
766	C₂×C₄²	—	2	2	no	—
767	C₂×C₄²	—	4	1	no	—
768	C₂×C₄²	—	4	1	no	—
769	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
770	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
771	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
772	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
773	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
774	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
775	C₂×C₄²	C₂⁴	1	1	yes	characteristic
776	C₂×C₄²	C₂⁴	1	1	yes	characteristic
777	C₂×C₄²	C₂⁴	1	1	yes	characteristic
778	C₂×C₄²	C₂⁴	1	1	yes	characteristic
779	C₂×C₄²	C₂⁴	1	1	yes	characteristic
780	C₂×C₄²	C₂⁴	1	1	yes	characteristic
781	C₂×C₄²	C₂⁴	1	1	yes	characteristic
782	C₂×C₄²	C₂⁴	1	1	yes	characteristic
783	C₂×C₄²	C₂⁴	1	1	yes	characteristic
784	C₄⋊C₈	—	2	2	no	—
785	C₄⋊C₈	—	2	2	no	—
786	C₄⋊C₈	—	2	2	no	—
787	C₄⋊C₈	—	2	2	no	—
788	C₄⋊C₈	—	2	2	no	—
789	C₄⋊C₈	—	2	2	no	—
790	C₄⋊C₈	—	2	2	no	—
791	C₄⋊C₈	—	2	2	no	—
792	C₄⋊C₈	—	2	2	no	—
793	C₄⋊C₈	—	2	2	no	—
794	C₄⋊C₈	—	2	2	no	—
795	C₄⋊C₈	—	4	1	no	—
796	C₄⋊C₈	—	4	1	no	—
797	C₄⋊C₈	—	4	1	no	—
798	C₄⋊C₈	—	4	1	no	—
799	C₄⋊C₈	C₂×D₄	1	4	yes	—
800	C₂²⋊C₈	—	2	2	no	—
801	C₂²⋊C₈	—	2	2	no	—
802	C₂²⋊C₈	—	2	2	no	—
803	C₂²⋊C₈	—	2	2	no	—
804	C₂²⋊C₈	—	2	2	no	—
805	C₂²⋊C₈	—	2	2	no	—
806	C₂²⋊C₈	—	2	2	no	—
807	C₂²⋊C₈	—	2	2	no	—
808	C₂²⋊C₈	—	2	2	no	—
809	C₂²⋊C₈	—	2	2	no	—
810	C₂²⋊C₈	—	2	2	no	—
811	C₂²⋊C₈	—	2	2	no	—
812	C₂²⋊C₈	—	2	2	no	—
813	C₂²⋊C₈	—	2	2	no	—
814	C₂²⋊C₈	—	2	2	no	—
815	C₂²⋊C₈	—	2	2	no	—
816	C₂²⋊C₈	—	2	2	no	—
817	C₂²⋊C₈	—	2	2	no	—
818	C₂²⋊C₈	—	2	2	no	—
819	C₂²⋊C₈	—	2	2	no	—
820	C₂²⋊C₈	—	2	2	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	C₂×D₄	1	4	yes	—
828	C₂²⋊C₈	C₂×D₄	1	4	yes	—
829	C₂²⋊C₈	#41	1	4	yes	—
830	#97	—	2	2	no	—
831	#97	—	2	2	no	—
832	#97	—	2	2	no	—
833	#97	—	2	2	no	—
834	#97	—	2	2	no	—
835	#97	—	2	2	no	—
836	#97	—	2	2	no	—
837	#97	—	2	2	no	—
838	#97	—	2	2	no	—
839	#97	—	2	2	no	—
840	#97	—	2	2	no	—
841	#97	—	4	1	no	—
842	#97	—	4	1	no	—
843	C₄×C₈	—	2	2	no	—
844	C₄×C₈	—	2	2	no	—
845	C₄×C₈	—	2	2	no	—
846	C₄×C₈	—	2	2	no	—
847	C₄×C₈	—	2	2	no	—
848	C₄×C₈	—	2	2	no	—
849	C₄×C₈	—	2	2	no	—
850	C₄×C₈	—	4	1	no	—
851	C₄×C₈	—	4	1	no	—
852	C₄×C₈	—	4	1	no	—
853	C₄×C₈	C₂×D₄	1	4	yes	—
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	#95	C₂²×C₄	1	1	yes	characteristic
865	#95	C₂²×C₄	1	1	yes	characteristic
866	#95	C₂²×C₄	1	1	yes	characteristic
867	#95	C₂²×C₄	1	1	yes	characteristic
868	#95	C₂²×C₄	1	1	yes	characteristic
869	#95	C₂²×C₄	1	1	yes	characteristic
870	#95	C₂²×C₄	1	1	yes	characteristic
871	#95	C₂²×C₄	1	1	yes	characteristic
872	#95	C₂²×C₄	1	1	yes	characteristic
873	#95	C₂²×C₄	1	1	yes	characteristic
874	#95	C₂²×C₄	1	1	yes	characteristic
875	#95	C₂²×C₄	1	1	yes	characteristic
876	#95	C₂²×C₄	1	1	yes	characteristic
877	#95	C₂²×C₄	1	1	yes	characteristic
878	#95	C₂²×C₄	1	1	yes	characteristic
879	#95	C₂²×C₄	1	1	yes	characteristic
880	#95	C₂²×C₄	1	1	yes	characteristic
881	#95	C₂²×C₄	1	1	yes	characteristic
882	#95	C₂²×C₄	1	1	yes	characteristic
883	#95	C₂²×C₄	1	1	yes	characteristic
884	#95	C₂²×C₄	1	1	yes	characteristic
885	#95	C₂²×C₄	1	1	yes	characteristic
886	#95	C₂²×C₄	1	1	yes	characteristic
887	#95	C₂²×C₄	1	1	yes	characteristic
888	#95	C₂²×C₄	1	1	yes	characteristic
889	#95	C₂²×C₄	1	1	yes	characteristic
890	C₂⁴	—	2	2	no	—
891	C₂⁴	—	2	2	no	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	—	2	2	no	—
894	C₂⁴	—	2	2	no	—
895	C₂⁴	—	2	2	no	—
896	C₂⁴	—	2	2	no	—
897	C₂⁴	—	2	2	no	—
898	C₂⁴	—	2	2	no	—
899	C₂⁴	—	4	1	no	—
900	C₂⁴	—	4	1	no	—
901	C₂⁴	—	4	1	no	—
902	C₂⁴	—	4	1	no	—
903	C₂⁴	#131	1	4	yes	—
904	C₂⁴	C₂³×C₄	1	1	yes	characteristic
905	C₂⁴	C₂³×C₄	1	1	yes	characteristic
906	C₂⁴	C₂³×C₄	1	1	yes	characteristic
907	C₂⁴	C₂³×C₄	1	1	yes	characteristic
908	C₂⁴	C₂³×C₄	1	1	yes	characteristic
909	C₂⁴	C₂³×C₄	1	1	yes	characteristic
910	C₂×Q₈	—	2	2	no	—
911	C₂×Q₈	—	4	1	no	—
912	C₂×Q₈	—	4	1	no	—
913	C₂×D₄	—	2	32	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	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	C₄×D₄	1	4	yes	—
940	C₂×D₄	#131	1	4	yes	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
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	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	2	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	2	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	—	4	1	no	—
995	C₂²×C₄	—	4	1	no	—
996	C₂²×C₄	—	4	1	no	—
997	C₂²×C₄	—	4	1	no	—
998	C₂²×C₄	—	4	1	no	—
999	C₂²×C₄	—	4	1	no	—
1000	C₂²×C₄	—	4	1	no	—
1001	C₂²×C₄	—	4	4	no	—
1002	C₂²×C₄	—	4	4	no	—
1003	C₂²×C₄	—	4	4	no	—
1004	C₂²×C₄	—	4	4	no	—
1005	C₂²×C₄	—	4	4	no	—
1006	C₂²×C₄	—	4	4	no	—
1007	C₂²×C₄	—	4	4	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	1	no	—
1012	C₂²×C₄	—	4	1	no	—
1013	C₂²×C₄	—	4	1	no	—
1014	C₂²×C₄	—	4	1	no	—
1015	C₂²×C₄	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	C₂³×C₄	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1039	C₂²×C₄	C₂²×D₄	1	2	yes	—
1040	C₂²×C₄	C₂²×D₄	1	2	yes	—
1041	C₂²×C₄	C₂×#41	1	2	yes	—
1042	C₂²×C₄	C₂×#41	1	2	yes	—
1043	C₂²×C₄	C₂×#41	1	2	yes	—
1044	C₂²×C₄	C₂×#41	1	2	yes	—
1045	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1046	M₁₆	—	4	4	no	—
1047	M₁₆	—	4	4	no	—
1048	M₁₆	—	4	4	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	8	no	—
1062	C₂×C₈	—	2	8	no	—
1063	C₂×C₈	—	2	8	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	—	2	1	no	—
1089	C₂×C₈	—	2	1	no	—
1090	C₂×C₈	—	2	1	no	—
1091	C₂×C₈	—	4	4	no	—
1092	C₂×C₈	—	4	4	no	—
1093	C₂×C₈	—	4	4	no	—
1094	C₂×C₈	—	4	4	no	—
1095	C₂×C₈	—	4	4	no	—
1096	C₂×C₈	—	4	4	no	—
1097	C₂×C₈	—	4	4	no	—
1098	C₂×C₈	—	4	4	no	—
1099	C₂×C₈	—	4	4	no	—
1100	C₂×C₈	—	4	4	no	—
1101	C₂×C₈	—	4	4	no	—
1102	C₂×C₈	—	4	4	no	—
1103	C₂×C₈	C₂²×D₄	1	2	yes	—
1104	C₂×C₈	C₂²×D₄	1	2	yes	—
1105	C₂×C₈	C₂²×D₄	1	2	yes	—
1106	C₂×C₈	C₂²×D₄	1	2	yes	—
1107	C₂×C₈	C₂×#41	1	2	yes	—
1108	C₂×C₈	C₂×#41	1	2	yes	—
1109	C₂×C₈	C₂×#41	1	2	yes	—
1110	C₂×C₈	C₂×#41	1	2	yes	—
1111	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1112	C₄⋊C₄	—	2	2	no	—
1113	C₄⋊C₄	—	2	2	no	—
1114	C₄⋊C₄	—	2	2	no	—
1115	C₄⋊C₄	—	2	2	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	—	2	2	no	—
1120	C₄⋊C₄	—	2	2	no	—
1121	C₄⋊C₄	—	2	2	no	—
1122	C₄⋊C₄	—	2	2	no	—
1123	C₄⋊C₄	—	2	2	no	—
1124	C₄⋊C₄	—	2	2	no	—
1125	C₄⋊C₄	—	2	2	no	—
1126	C₄⋊C₄	—	2	2	no	—
1127	C₄⋊C₄	—	2	2	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	C₄×D₄	1	4	yes	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	2	2	no	—
1146	C₂²⋊C₄	—	2	2	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	2	2	no	—
1149	C₂²⋊C₄	—	2	2	no	—
1150	C₂²⋊C₄	—	2	2	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	2	no	—
1156	C₂²⋊C₄	—	2	2	no	—
1157	C₂²⋊C₄	—	2	2	no	—
1158	C₂²⋊C₄	—	2	2	no	—
1159	C₂²⋊C₄	—	2	2	no	—
1160	C₂²⋊C₄	—	2	2	no	—
1161	C₂²⋊C₄	—	2	2	no	—
1162	C₂²⋊C₄	—	2	2	no	—
1163	C₂²⋊C₄	—	2	2	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₂²⋊C₄	—	4	1	no	—
1171	C₂²⋊C₄	—	4	1	no	—
1172	C₂²⋊C₄	—	4	1	no	—
1173	C₂²⋊C₄	—	4	1	no	—
1174	C₂²⋊C₄	—	4	1	no	—
1175	C₂²⋊C₄	—	4	1	no	—
1176	C₂²⋊C₄	—	4	1	no	—
1177	C₂²⋊C₄	—	4	1	no	—
1178	C₂²⋊C₄	—	4	1	no	—
1179	C₂²⋊C₄	—	4	1	no	—
1180	C₂²⋊C₄	—	4	1	no	—
1181	C₂²⋊C₄	—	4	1	no	—
1182	C₂²⋊C₄	—	4	1	no	—
1183	C₂²⋊C₄	—	4	1	no	—
1184	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1185	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1186	C₄²	—	2	2	no	—
1187	C₄²	—	2	2	no	—
1188	C₄²	—	2	2	no	—
1189	C₄²	—	2	2	no	—
1190	C₄²	—	2	1	no	—
1191	C₄²	—	2	1	no	—
1192	C₄²	—	2	1	no	—
1193	C₄²	—	2	1	no	—
1194	C₄²	—	2	1	no	—
1195	C₄²	—	2	1	no	—
1196	C₄²	—	2	1	no	—
1197	C₄²	—	2	1	no	—
1198	C₄²	—	2	1	no	—
1199	C₄²	—	2	1	no	—
1200	C₄²	—	2	1	no	—
1201	C₄²	—	2	1	no	—
1202	C₄²	—	2	1	no	—
1203	C₄²	—	2	1	no	—
1204	C₄²	—	2	1	no	—
1205	C₄²	—	2	1	no	—
1206	C₄²	—	4	1	no	—
1207	C₄²	—	4	1	no	—
1208	C₄²	C₂²×D₄	1	2	yes	—
1209	C₄²	C₂×#41	1	2	yes	—
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	8	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	8	no	—
1228	C₂³	—	2	8	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	—	4	4	no	—
1247	C₂³	—	4	4	no	—
1248	C₂³	—	4	4	no	—
1249	C₂³	—	4	4	no	—
1250	C₂³	—	4	4	no	—
1251	C₂³	—	4	4	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	4	no	—
1254	C₂³	—	4	4	no	—
1255	C₂³	—	4	4	no	—
1256	C₂³	—	4	4	no	—
1257	C₂³	C₂×C₄×D₄	1	2	yes	—
1258	C₂³	C₂×C₄×D₄	1	2	yes	—
1259	C₂³	C₄×#41	1	2	yes	—
1260	C₂³	C₂×#131	1	2	yes	—
1261	C₂³	C₂×#131	1	2	yes	—
1262	C₂³	C₂×#131	1	2	yes	—
1263	C₂³	C₂×#131	1	2	yes	—
1264	C₂³	C₂×#131	1	2	yes	—
1265	C₂³	#568	1	2	yes	—
1266	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1267	Q₈	—	8	2	no	—
1268	D₄	—	2	8	no	—
1269	D₄	—	2	8	no	—
1270	D₄	—	2	8	no	—
1271	D₄	—	2	8	no	—
1272	D₄	—	4	4	no	—
1273	D₄	—	4	4	no	—
1274	D₄	—	8	2	no	—
1275	D₄	—	8	2	no	—
1276	D₄	—	8	2	no	—
1277	C₂×C₄	—	2	8	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	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	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	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	4	4	no	—
1357	C₂×C₄	—	4	4	no	—
1358	C₂×C₄	—	4	4	no	—
1359	C₂×C₄	—	4	4	no	—
1360	C₂×C₄	—	4	4	no	—
1361	C₂×C₄	—	4	4	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	1	no	—
1365	C₂×C₄	—	4	1	no	—
1366	C₂×C₄	—	4	1	no	—
1367	C₂×C₄	—	4	1	no	—
1368	C₂×C₄	—	4	1	no	—
1369	C₂×C₄	—	4	1	no	—
1370	C₂×C₄	—	4	1	no	—
1371	C₂×C₄	—	4	1	no	—
1372	C₂×C₄	—	4	1	no	—
1373	C₂×C₄	—	4	1	no	—
1374	C₂×C₄	—	4	1	no	—
1375	C₂×C₄	—	4	1	no	—
1376	C₂×C₄	—	8	2	no	—
1377	C₂×C₄	—	8	2	no	—
1378	C₂×C₄	—	8	2	no	—
1379	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1380	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1381	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1382	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1383	C₂×C₄	C₄×#41	1	2	yes	—
1384	C₂×C₄	C₂×#131	1	2	yes	—
1385	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1386	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1387	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1388	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1389	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1390	C₂×C₄	#585	1	1	yes	characteristic
1391	C₈	—	2	2	no	—
1392	C₈	—	2	2	no	—
1393	C₈	—	2	2	no	—
1394	C₈	—	2	2	no	—
1395	C₈	—	2	2	no	—
1396	C₈	—	2	2	no	—
1397	C₈	—	4	1	no	—
1398	C₈	—	4	1	no	—
1399	C₈	—	4	1	no	—
1400	C₈	—	4	1	no	—
1401	C₈	—	4	1	no	—
1402	C₈	—	4	1	no	—
1403	C₈	—	4	1	no	—
1404	C₈	—	4	1	no	—
1405	C₈	—	4	1	no	—
1406	C₈	#546	1	4	yes	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	4	16	no	—
1429	C₂²	—	4	16	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	#2929	1	4	yes	—
1450	C₂²	#2968	1	4	yes	complemented
1451	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1452	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1453	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	C₂²×#131	1	1	yes	characteristic
1455	C₂²	C₂²×#131	1	1	yes	characteristic
1456	C₂²	C₂×#568	1	1	yes	characteristic
1457	C₂²	#3573	1	1	yes	characteristic
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	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₄	C₂×#546	1	1	yes	characteristic
1483	C₄	D₄×#41	1	1	yes	characteristic
1484	C₄	#3475	1	1	yes	characteristic
1485	C₄	#3481	1	1	yes	characteristic
1486	C₂	—	2	4	no	—
1487	C₂	—	2	4	no	—
1488	C₂	—	4	2	no	—
1489	C₂	—	4	2	no	—
1490	C₂	—	4	2	no	—
1491	C₂	—	8	1	no	—
1492	C₂	C₄×#546	1	1	yes	characteristic
1493	C₂	C₂×#2929	1	1	yes	characteristic
1494	C₂	#60146	1	1	yes	characteristic
1495	C₂	C₂×#2968	1	1	yes	characteristic
1496	C₂	#60215	1	1	yes	characteristic
1497	C₂	#60310	1	1	yes	characteristic
1498	C₂	#60311	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#2410	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#2968	C₂	semidirect
2. C₂²×C₈×D₄	C₂	semidirect
4. #23211	C₂	semidirect
5. #23123	C₂	semidirect
6. #23116	C₂	semidirect
7. #23089	C₂	semidirect
8. #22954	C₂	semidirect
9. #22909	C₂	semidirect
10. #22900	C₂	semidirect
11. #22846	C₂	semidirect
12. #22842	C₂	semidirect
13. #22754	C₂	semidirect
14. #22697	C₂	semidirect
15. #22558	C₂	semidirect
16. #22552	C₂	semidirect
17. #22470	C₂	semidirect
18. #22399	C₂	semidirect
19. #21638	C₂	semidirect
20. #21597	C₂	semidirect
21. #21567	C₂	semidirect
22. #21561	C₂	semidirect
23. #21495	C₂	semidirect
24. #21492	C₂	semidirect
25. #21489	C₂	semidirect
26. #21440	C₂	semidirect
27. #21440	C₂	semidirect
28. #20493	C₂	semidirect
29. #20484	C₂	semidirect
30. #20385	C₂	semidirect
31. C₂×#1752	C₂	semidirect
37. C₂×#446	C₂²	semidirect
38. C₂×#446	C₂²	semidirect
42. C₂×#435	C₂²	semidirect
43. C₂×#435	C₂²	semidirect
44. C₂×#435	C₂²	semidirect
45. C₂×#435	C₂²	semidirect
46. C₂×#435	C₂²	semidirect
57. C₂×C₈×D₄	C₂²	semidirect
58. C₂×#433	C₂²	semidirect
59. C₂×#433	C₂²	semidirect
60. C₂×#431	C₂²	semidirect
66. C₂×#405	C₂²	semidirect
67. C₂×#405	C₂²	semidirect
68. C₂×#405	C₂²	semidirect
69. C₂²×#97	C₂²	semidirect
70. C₂²×#97	C₂²	semidirect
101. #1985	C₂²	semidirect
102. #1984	C₂²	semidirect
105. #1955	C₂²	semidirect
106. #1954	C₂²	semidirect
107. #1940	C₂²	semidirect
108. #1940	C₂²	semidirect
109. #1939	C₂²	semidirect
110. #1939	C₂²	semidirect
111. #1924	C₂²	semidirect
112. #1924	C₂²	semidirect
113. #1924	C₂²	semidirect
114. #1924	C₂²	semidirect
115. #1923	C₂²	semidirect
116. #1923	C₂²	semidirect
117. #1923	C₂²	semidirect
118. #1923	C₂²	semidirect
119. #1923	C₂²	semidirect
120. #1923	C₂²	semidirect
121. #1923	C₂²	semidirect
122. #1923	C₂²	semidirect
123. #1923	C₂²	semidirect
124. #1923	C₂²	semidirect
125. #1917	C₂²	semidirect
126. #1917	C₂²	semidirect
127. #1916	C₂²	semidirect
128. #1916	C₂²	semidirect
129. #1916	C₂²	semidirect
130. #1916	C₂²	semidirect
133. #1870	C₂²	semidirect
138. #1869	C₂²	semidirect
139. #1869	C₂²	semidirect
140. #1869	C₂²	semidirect
141. #1869	C₂²	semidirect
142. #1869	C₂²	semidirect
143. #1869	C₂²	semidirect
144. #1869	C₂²	semidirect
145. #1851	C₂²	semidirect
150. #1850	C₂²	semidirect
151. #1850	C₂²	semidirect
152. #1850	C₂²	semidirect
153. #1850	C₂²	semidirect
154. #1850	C₂²	semidirect
155. #1832	C₂²	semidirect
156. #1818	C₂²	semidirect
157. #1817	C₂²	semidirect
158. #1798	C₂²	semidirect
159. #1798	C₂²	semidirect
161. #1797	C₂²	semidirect
164. #1771	C₂²	semidirect
165. #1771	C₂²	semidirect
166. #1771	C₂²	semidirect
167. #1771	C₂²	semidirect
168. #1770	C₂²	semidirect
169. C₈×C₄⋊C₄	C₂²	semidirect
170. #1768	C₂²	semidirect
171. #1768	C₂²	semidirect
172. #1753	C₂²	semidirect
173. #1753	C₂²	semidirect
179. #1752	C₂²	semidirect
180. #1752	C₂²	semidirect
181. #1752	C₂²	semidirect
182. #1752	C₂²	semidirect
183. #1752	C₂²	semidirect
184. #1752	C₂²	semidirect
185. #1752	C₂²	semidirect
186. #1752	C₂²	semidirect
187. #1752	C₂²	semidirect
188. #1752	C₂²	semidirect
192. C₈×C₂²⋊C₄	C₂²	semidirect
193. C₈×C₂²⋊C₄	C₂²	semidirect
194. C₈×C₂²⋊C₄	C₂²	semidirect
195. C₈×C₂²⋊C₄	C₂²	semidirect
196. #1750	C₂²	semidirect
197. #1750	C₂²	semidirect
199. C₄×C₂²⋊C₈	C₂²	semidirect
200. #1729	C₂²	semidirect
201. #1729	C₂²	semidirect
202. C₂×#336	C₂²	semidirect
203. C₂×#336	C₂²	semidirect
204. #1726	C₂²	semidirect
293. C₈×D₄	D₄	semidirect
1450. C₂²	#2968	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2968	2
C₂²×C₈×D₄	2
#34670	2
#23211	2
#23123	2
#23116	2
#23089	2
#22954	2
#22909	2
#22900	2
#22846	2
#22842	2
#22754	2
#22697	2
#22558	2
#22552	2
#22470	2
#22399	2
#21638	2
#21597	2
#21567	2
#21561	2
#21495	2
#21492	2
#21489	2
#21440	2
#20493	2
#20484	2
#20385	2
C₂×#1752	2