Subgroups — #6381024

Order 512.

2177 conjugacy classes of subgroups.

The subgroup lattice has 1448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2924	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#433	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×#117	C₂	1	1	yes	maximal, characteristic
4	#22801	C₂	1	1	yes	maximal, characteristic, complemented
5	#22800	C₂	1	1	yes	maximal, characteristic, complemented
6	#22757	C₂	1	1	yes	maximal, characteristic, complemented
7	#22756	C₂	1	1	yes	maximal, characteristic, complemented
8	#22750	C₂	1	1	yes	maximal, characteristic, complemented
9	#22748	C₂	1	1	yes	maximal, characteristic, complemented
10	#22647	C₂	1	1	yes	maximal, characteristic, complemented
11	#22647	C₂	1	1	yes	maximal, characteristic, complemented
12	#22602	C₂	1	1	yes	maximal, characteristic, complemented
13	#22600	C₂	1	1	yes	maximal, characteristic, complemented
14	#22559	C₂	1	1	yes	maximal, characteristic, complemented
15	#22558	C₂	1	1	yes	maximal, characteristic, complemented
16	#22558	C₂	1	1	yes	maximal, characteristic, complemented
17	#22558	C₂	1	1	yes	maximal, characteristic, complemented
18	#22399	C₂	1	1	yes	maximal, characteristic
19	D₄×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
20	#21273	C₂	1	1	yes	maximal, characteristic, complemented
21	#21272	C₂	1	1	yes	maximal, characteristic, complemented
22	#21111	C₂	1	1	yes	maximal, characteristic, complemented
23	#21110	C₂	1	1	yes	maximal, characteristic, complemented
24	#21107	C₂	1	1	yes	maximal, characteristic, complemented
25	#21101	C₂	1	1	yes	maximal, characteristic, complemented
26	#20813	C₂	1	1	yes	maximal, characteristic, complemented
27	#20716	C₂	1	1	yes	maximal, characteristic, complemented
28	#20716	C₂	1	1	yes	maximal, characteristic, complemented
29	#20493	C₂	1	1	yes	maximal, characteristic, complemented
30	#20484	C₂	1	1	yes	maximal, characteristic, complemented
31	#20468	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
33	C₂²×#117	C₂²	1	1	yes	characteristic
34	C₂²×#117	C₂²	1	1	yes	characteristic
35	C₂×#435	C₂²	1	1	yes	characteristic
36	C₂×#435	C₂²	1	1	yes	characteristic
37	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
39	#2924	—	2	8	no	—
40	C₂×#433	—	2	8	no	—
41	C₂×#433	C₂²	1	1	yes	characteristic
42	C₂×#433	C₂²	1	1	yes	characteristic
43	C₂×#433	C₂²	1	1	yes	characteristic
44	C₂×#433	C₂²	1	1	yes	characteristic
45	C₂×#433	C₂²	1	1	yes	characteristic
46	C₂×#433	C₂²	1	1	yes	characteristic
47	C₂×#433	C₂²	1	1	yes	characteristic
48	C₂×#433	C₂²	1	1	yes	characteristic
49	C₂×#433	C₂²	1	1	yes	characteristic, complemented
50	C₂×#433	C₂²	1	1	yes	characteristic, complemented
51	C₂×#433	C₂²	1	1	yes	characteristic, complemented
52	C₂×#433	C₂²	1	1	yes	characteristic, complemented
53	C₂×#432	C₂²	1	1	yes	characteristic, complemented
54	C₂×#432	C₂²	1	1	yes	characteristic, complemented
55	C₂×#431	C₂²	1	1	yes	characteristic, complemented
56	C₂×#431	C₂²	1	1	yes	characteristic, complemented
57	C₂×#424	C₂²	1	1	yes	characteristic, complemented
58	C₂×#424	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
61	C₂×#407	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
65	C₂×#405	C₂²	1	1	yes	characteristic, complemented
66	C₂×#405	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
69	#2354	C₄	1	1	yes	characteristic
70	#2354	C₄	1	1	yes	characteristic
71	#2352	C₄	1	1	yes	characteristic
72	#2352	C₄	1	1	yes	characteristic
73	#2352	C₄	1	1	yes	characteristic
74	#2352	C₄	1	1	yes	characteristic
75	D₄×C₄⋊C₄	C₄	1	1	yes	characteristic
76	D₄×C₄⋊C₄	C₄	1	1	yes	characteristic
77	#2344	C₄	1	1	yes	characteristic
78	#2344	C₄	1	1	yes	characteristic
79	#2342	C₄	1	1	yes	characteristic
80	#2342	C₄	1	1	yes	characteristic
81	#2342	C₄	1	1	yes	characteristic
82	#2342	C₄	1	1	yes	characteristic
83	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
84	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
85	#2293	C₂²	1	1	yes	characteristic
86	#2293	C₂²	1	1	yes	characteristic
87	#2290	C₂²	1	1	yes	characteristic
88	#2290	C₂²	1	1	yes	characteristic
89	#2290	C₂²	1	1	yes	characteristic
90	#2290	C₂²	1	1	yes	characteristic
91	#2285	C₂²	1	1	yes	characteristic
92	#2280	C₂²	1	1	yes	characteristic
93	#2280	C₂²	1	1	yes	characteristic
94	C₄²×D₄	C₂²	1	1	yes	characteristic
95	C₄²×D₄	C₂²	1	1	yes	characteristic
96	C₄×#117	C₂²	1	1	yes	characteristic
97	#1955	C₂²	1	1	yes	characteristic
98	#1955	C₂²	1	1	yes	characteristic
99	#1954	C₂²	1	1	yes	characteristic
100	#1954	C₂²	1	1	yes	characteristic
101	#1940	C₂²	1	1	yes	characteristic, complemented
102	#1940	C₂²	1	1	yes	characteristic, complemented
103	#1939	C₂²	1	1	yes	characteristic, complemented
104	#1939	C₂²	1	1	yes	characteristic, complemented
105	#1924	C₂²	1	1	yes	characteristic, complemented
106	#1924	C₂²	1	1	yes	characteristic, complemented
107	#1924	C₂²	1	1	yes	characteristic, complemented
108	#1924	C₂²	1	1	yes	characteristic, complemented
109	#1924	C₂²	1	1	yes	characteristic, complemented
110	#1924	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic, complemented
112	#1924	C₂²	1	1	yes	characteristic, complemented
113	#1923	C₂²	1	1	yes	characteristic, complemented
114	#1923	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	#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	#1870	C₂²	1	1	yes	characteristic
130	#1870	C₂²	1	1	yes	characteristic
131	#1869	C₂²	1	1	yes	characteristic
132	#1869	C₂²	1	1	yes	characteristic
133	#1869	C₂²	1	1	yes	characteristic
134	#1869	C₂²	1	1	yes	characteristic
135	#1869	C₂²	1	1	yes	characteristic
136	#1869	C₂²	1	1	yes	characteristic
137	#1851	C₂²	1	1	yes	characteristic, complemented
138	#1851	C₂²	1	1	yes	characteristic, complemented
139	#1850	C₂²	1	1	yes	characteristic, complemented
140	#1850	C₂²	1	1	yes	characteristic, complemented
141	#1850	C₂²	1	1	yes	characteristic, complemented
142	#1850	C₂²	1	1	yes	characteristic, complemented
143	#1850	C₂²	1	1	yes	characteristic, complemented
144	#1850	C₂²	1	1	yes	characteristic, complemented
145	#1843	C₂²	1	1	yes	characteristic, complemented
146	#1843	C₂²	1	1	yes	characteristic, complemented
147	#1831	C₂²	1	1	yes	characteristic, complemented
148	#1831	C₂²	1	1	yes	characteristic, complemented
149	#1818	C₂²	1	1	yes	characteristic
150	#1818	C₂²	1	1	yes	characteristic
151	#1818	C₂²	1	1	yes	characteristic
152	#1818	C₂²	1	1	yes	characteristic
153	#1798	C₂²	1	1	yes	characteristic
154	#1798	C₂²	1	1	yes	characteristic
155	#1798	C₂²	1	1	yes	characteristic, complemented
156	#1798	C₂²	1	1	yes	characteristic, complemented
157	#1798	C₂²	1	1	yes	characteristic, complemented
158	#1798	C₂²	1	1	yes	characteristic, complemented
159	#1797	C₂²	1	1	yes	characteristic
160	#1797	C₂²	1	1	yes	characteristic
161	#1797	C₂²	1	1	yes	characteristic, complemented
162	#1797	C₂²	1	1	yes	characteristic, complemented
163	#1797	C₂²	1	1	yes	characteristic, complemented
164	#1797	C₂²	1	1	yes	characteristic, complemented
165	#1779	C₂²	1	1	yes	characteristic
166	#1779	C₂²	1	1	yes	characteristic
167	#1779	C₂²	1	1	yes	characteristic
168	#1779	C₂²	1	1	yes	characteristic
169	#1771	C₂²	1	1	yes	characteristic, complemented
170	#1771	C₂²	1	1	yes	characteristic, complemented
171	#1770	C₂²	1	1	yes	characteristic, complemented
172	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	#1768	C₂²	1	1	yes	characteristic, complemented
174	#1768	C₂²	1	1	yes	characteristic, complemented
175	#1768	C₂²	1	1	yes	characteristic, complemented
176	#1768	C₂²	1	1	yes	characteristic, complemented
177	#1767	C₂²	1	1	yes	characteristic, complemented
178	#1767	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
181	#1753	C₂²	1	1	yes	characteristic, complemented
182	#1753	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	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	#1750	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic
191	#1750	C₂²	1	1	yes	characteristic, complemented
192	#1750	C₂²	1	1	yes	characteristic, complemented
193	#1750	C₂²	1	1	yes	characteristic, complemented
194	#1750	C₂²	1	1	yes	characteristic, complemented
195	#1749	C₂²	1	1	yes	characteristic
196	#1749	C₂²	1	1	yes	characteristic, complemented
197	#1749	C₂²	1	1	yes	characteristic, complemented
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
201	#1745	C₂²	1	1	yes	characteristic, complemented
202	#1744	C₂²	1	1	yes	characteristic, complemented
203	#1726	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	C₂³×C₈	C₂³	1	1	yes	characteristic
211	C₂³×C₈	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	C₂³×C₈	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₄	—	2	4	no	—
217	C₂×C₄×D₄	—	2	4	no	—
218	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
219	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
220	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
221	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
222	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
223	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
226	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
230	C₂×#117	—	2	4	no	—
231	C₂×#117	—	2	4	no	—
232	C₂×#117	—	2	4	no	—
233	C₂×#117	—	2	4	no	—
234	C₂×#117	C₂×C₄	1	1	yes	characteristic
235	C₂×#117	C₂×C₄	1	1	yes	characteristic
236	C₂×#117	C₂×C₄	1	1	yes	characteristic
237	C₂×#117	C₂×C₄	1	1	yes	characteristic
238	C₂×#117	C₂×C₄	1	1	yes	characteristic
239	C₂×#117	C₂×C₄	1	1	yes	characteristic
240	C₂×#117	C₂×C₄	1	1	yes	characteristic
241	C₂×#117	C₂×C₄	1	1	yes	characteristic
242	C₂×#117	C₂³	1	1	yes	characteristic
243	C₂×#117	C₂³	1	1	yes	characteristic
244	C₂×#117	C₂³	1	1	yes	characteristic
245	C₂×#117	C₂³	1	1	yes	characteristic
246	C₂×#117	C₂³	1	1	yes	characteristic
247	C₂×#117	C₂³	1	1	yes	characteristic
248	C₂×#117	C₂³	1	1	yes	characteristic
249	C₂×#117	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
251	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
253	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
254	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
255	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
256	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
257	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
258	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
259	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
260	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
261	C₂²×C₄²	C₂³	1	1	yes	characteristic
262	C₂²×C₄²	C₂³	1	1	yes	characteristic
263	C₂²×C₄²	C₂³	1	1	yes	characteristic
264	C₂²×C₄²	C₂³	1	1	yes	characteristic
265	C₂²×C₄²	C₂³	1	1	yes	characteristic
266	#435	—	2	4	no	—
267	#435	—	2	4	no	—
268	C₈×D₄	—	2	4	no	—
269	C₈×D₄	—	2	4	no	—
270	#433	—	2	4	no	—
271	#433	—	2	4	no	—
272	#433	—	2	4	no	—
273	#433	—	2	4	no	—
274	#433	—	2	4	no	—
275	#433	—	2	4	no	—
276	#433	—	2	4	no	—
277	#433	—	2	4	no	—
278	#433	—	2	4	no	—
279	#433	—	2	4	no	—
280	#433	—	2	4	no	—
281	#433	D₄	1	8	yes	complemented
282	#432	—	2	4	no	—
283	#432	—	2	4	no	—
284	#431	—	2	4	no	—
285	#431	—	2	4	no	—
286	#424	—	2	4	no	—
287	#424	—	2	4	no	—
288	C₂×C₄⋊C₈	—	2	4	no	—
289	C₂×C₄⋊C₈	—	2	4	no	—
290	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
350	#405	—	2	4	no	—
351	#405	—	2	4	no	—
352	C₂×#97	—	2	4	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×C₄×C₈	—	2	4	no	—
366	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#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	#388	C₂×C₄	1	1	yes	characteristic
399	#388	C₂×C₄	1	1	yes	characteristic
400	#388	C₂×C₄	1	1	yes	characteristic
401	#388	C₂×C₄	1	1	yes	characteristic
402	#387	C₂×C₄	1	1	yes	characteristic
403	#387	C₂×C₄	1	1	yes	characteristic
404	#387	C₂×C₄	1	1	yes	characteristic
405	#387	C₂×C₄	1	1	yes	characteristic
406	#387	C₂×C₄	1	1	yes	characteristic
407	#387	C₂×C₄	1	1	yes	characteristic
408	#387	C₂×C₄	1	1	yes	characteristic
409	#387	C₂×C₄	1	1	yes	characteristic
410	#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	#385	C₂×C₄	1	1	yes	characteristic
419	#385	C₂×C₄	1	1	yes	characteristic
420	#385	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	#384	C₂×C₄	1	1	yes	characteristic
427	#384	C₂×C₄	1	1	yes	characteristic
428	#382	C₂×C₄	1	1	yes	characteristic
429	#382	C₂×C₄	1	1	yes	characteristic
430	#381	C₂×C₄	1	1	yes	characteristic
431	#381	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	#380	C₂×C₄	1	1	yes	characteristic
439	#380	C₂×C₄	1	1	yes	characteristic
440	#380	C₂×C₄	1	1	yes	characteristic
441	#380	C₂×C₄	1	1	yes	characteristic
442	#380	C₂×C₄	1	1	yes	characteristic
443	#380	C₂×C₄	1	1	yes	characteristic
444	#380	C₂×C₄	1	1	yes	characteristic
445	#380	C₂×C₄	1	1	yes	characteristic
446	#379	C₂×C₄	1	1	yes	characteristic
447	#379	C₂×C₄	1	1	yes	characteristic
448	#379	C₂×C₄	1	1	yes	characteristic
449	#379	C₂×C₄	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
456	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
457	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
458	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
463	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
464	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
467	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
470	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
471	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
472	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
473	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
475	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
477	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
478	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	#376	C₂³	1	1	yes	characteristic
483	#376	C₂³	1	1	yes	characteristic
484	C₄³	C₂³	1	1	yes	characteristic
485	C₄³	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
519	C₂⁵	C₂²×C₄	1	1	yes	characteristic
520	C₂²×D₄	—	2	4	no	—
521	C₂²×D₄	—	2	4	no	—
522	C₂²×D₄	—	4	2	no	—
523	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
525	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
527	C₂³×C₄	—	2	2	no	—
528	C₂³×C₄	—	2	2	no	—
529	C₂³×C₄	—	2	2	no	—
530	C₂³×C₄	—	2	2	no	—
531	C₂³×C₄	—	2	2	no	—
532	C₂³×C₄	—	2	2	no	—
533	C₂³×C₄	—	2	2	no	—
534	C₂³×C₄	—	2	2	no	—
535	C₂³×C₄	—	4	1	no	—
536	C₂³×C₄	—	4	1	no	—
537	C₂³×C₄	—	4	1	no	—
538	C₂³×C₄	—	4	1	no	—
539	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
540	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
541	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
542	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
543	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
544	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
545	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
546	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
547	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
548	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
549	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
550	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
551	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
552	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
553	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
554	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
555	C₂³×C₄	C₂⁴	1	1	yes	characteristic
556	C₂³×C₄	C₂⁴	1	1	yes	characteristic
557	C₂³×C₄	C₂⁴	1	1	yes	characteristic
558	C₂³×C₄	C₂⁴	1	1	yes	characteristic
559	C₂³×C₄	C₂⁴	1	1	yes	characteristic
560	C₂×M₁₆	—	2	2	no	—
561	C₂×M₁₆	—	2	2	no	—
562	C₂×M₁₆	—	2	2	no	—
563	C₂×M₁₆	—	2	2	no	—
564	C₂×M₁₆	—	4	1	no	—
565	C₂×M₁₆	—	4	1	no	—
566	C₂²×C₈	—	2	2	no	—
567	C₂²×C₈	—	2	2	no	—
568	C₂²×C₈	—	2	2	no	—
569	C₂²×C₈	—	2	2	no	—
570	C₂²×C₈	—	2	2	no	—
571	C₂²×C₈	—	2	2	no	—
572	C₂²×C₈	—	2	2	no	—
573	C₂²×C₈	—	2	2	no	—
574	C₂²×C₈	—	2	2	no	—
575	C₂²×C₈	—	2	2	no	—
576	C₂²×C₈	—	2	2	no	—
577	C₂²×C₈	—	2	2	no	—
578	C₂²×C₈	—	4	1	no	—
579	C₂²×C₈	—	4	1	no	—
580	C₂²×C₈	—	4	1	no	—
581	C₂²×C₈	—	4	1	no	—
582	C₂²×C₈	—	4	1	no	—
583	C₂²×C₈	—	4	1	no	—
584	C₂²×C₈	C₂⁴	1	1	yes	characteristic
585	C₂²×C₈	C₂⁴	1	1	yes	characteristic
586	C₂²×C₈	C₂⁴	1	1	yes	characteristic
587	C₂²×C₈	C₂⁴	1	1	yes	characteristic
588	C₂²×C₈	C₂⁴	1	1	yes	characteristic
589	C₂²×C₈	C₂⁴	1	1	yes	characteristic
590	C₂²×C₈	C₂⁴	1	1	yes	characteristic
591	C₂²×C₈	C₂⁴	1	1	yes	characteristic
592	C₂²×C₈	C₂⁴	1	1	yes	characteristic
593	C₂²×C₈	C₂⁴	1	1	yes	characteristic
594	C₂²×C₈	C₂⁴	1	1	yes	characteristic
595	C₂²×C₈	C₂⁴	1	1	yes	characteristic
596	C₂²×C₈	C₂⁴	1	1	yes	characteristic
597	C₂²×C₈	C₂⁴	1	1	yes	characteristic
598	C₂²×C₈	C₂⁴	1	1	yes	characteristic
599	C₂²×C₈	C₂⁴	1	1	yes	characteristic
600	C₄×D₄	—	2	4	no	—
601	C₄×D₄	—	2	4	no	—
602	C₄×D₄	—	2	4	no	—
603	C₄×D₄	—	2	2	no	—
604	C₄×D₄	—	2	2	no	—
605	C₄×D₄	—	2	2	no	—
606	C₄×D₄	—	2	2	no	—
607	C₄×D₄	—	2	4	no	—
608	C₄×D₄	—	2	4	no	—
609	C₄×D₄	—	2	4	no	—
610	C₄×D₄	—	2	2	no	—
611	C₄×D₄	—	2	2	no	—
612	C₄×D₄	—	4	2	no	—
613	C₄×D₄	—	4	2	no	—
614	C₄×D₄	#41	1	4	yes	—
615	C₄×D₄	#41	1	4	yes	—
616	#117	—	2	2	no	—
617	#117	—	2	2	no	—
618	#117	—	2	2	no	—
619	#117	—	2	2	no	—
620	#117	—	2	4	no	—
621	#117	—	2	4	no	—
622	#117	—	2	4	no	—
623	#117	—	2	4	no	—
624	#117	—	2	4	no	—
625	#117	—	2	4	no	—
626	#117	—	2	4	no	—
627	#117	—	2	4	no	—
628	#117	—	2	2	no	—
629	#117	—	2	2	no	—
630	#117	—	2	2	no	—
631	#117	—	2	2	no	—
632	#117	—	2	2	no	—
633	#117	—	2	2	no	—
634	#117	—	2	2	no	—
635	#117	—	2	2	no	—
636	#117	—	4	1	no	—
637	#117	—	4	1	no	—
638	#117	C₂×D₄	1	4	yes	—
639	#117	#41	1	4	yes	—
640	C₂×C₄⋊C₄	—	2	4	no	—
641	C₂×C₄⋊C₄	—	2	4	no	—
642	C₂×C₄⋊C₄	—	2	4	no	—
643	C₂×C₄⋊C₄	—	2	4	no	—
644	C₂×C₄⋊C₄	—	2	4	no	—
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	—	2	4	no	—
674	C₂×C₂²⋊C₄	—	2	4	no	—
675	C₂×C₂²⋊C₄	—	2	4	no	—
676	C₂×C₂²⋊C₄	—	2	4	no	—
677	C₂×C₂²⋊C₄	—	2	4	no	—
678	C₂×C₂²⋊C₄	—	2	4	no	—
679	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₄²	—	2	2	no	—
720	C₂×C₄²	—	2	2	no	—
721	C₂×C₄²	—	2	2	no	—
722	C₂×C₄²	—	2	2	no	—
723	C₂×C₄²	—	2	2	no	—
724	C₂×C₄²	—	2	2	no	—
725	C₂×C₄²	—	2	2	no	—
726	C₂×C₄²	—	2	2	no	—
727	C₂×C₄²	—	2	2	no	—
728	C₂×C₄²	—	2	2	no	—
729	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
744	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
745	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
746	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₄²	C₂⁴	1	1	yes	characteristic
748	C₂×C₄²	C₂⁴	1	1	yes	characteristic
749	C₂×C₄²	C₂⁴	1	1	yes	characteristic
750	C₂×C₄²	C₂⁴	1	1	yes	characteristic
751	C₂×C₄²	C₂⁴	1	1	yes	characteristic
752	C₂×C₄²	C₂⁴	1	1	yes	characteristic
753	C₂×C₄²	C₂⁴	1	1	yes	characteristic
754	C₂×C₄²	C₂⁴	1	1	yes	characteristic
755	C₂×C₄²	C₂⁴	1	1	yes	characteristic
756	C₂×C₄²	C₂⁴	1	1	yes	characteristic
757	C₄⋊C₈	—	2	2	no	—
758	C₄⋊C₈	—	2	2	no	—
759	C₄⋊C₈	—	2	2	no	—
760	C₄⋊C₈	—	2	2	no	—
761	C₄⋊C₈	—	2	2	no	—
762	C₄⋊C₈	—	2	2	no	—
763	C₄⋊C₈	—	2	2	no	—
764	C₄⋊C₈	—	2	2	no	—
765	C₄⋊C₈	—	2	2	no	—
766	C₄⋊C₈	—	2	2	no	—
767	C₄⋊C₈	—	2	2	no	—
768	C₄⋊C₈	—	2	2	no	—
769	C₄⋊C₈	—	2	2	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	C₂×D₄	1	4	yes	complemented
780	C₄⋊C₈	C₂×D₄	1	4	yes	complemented
781	C₂²⋊C₈	—	2	2	no	—
782	C₂²⋊C₈	—	2	2	no	—
783	C₂²⋊C₈	—	2	2	no	—
784	C₂²⋊C₈	—	2	2	no	—
785	C₂²⋊C₈	—	2	2	no	—
786	C₂²⋊C₈	—	2	2	no	—
787	C₂²⋊C₈	—	2	2	no	—
788	C₂²⋊C₈	—	2	2	no	—
789	C₂²⋊C₈	—	2	2	no	—
790	C₂²⋊C₈	—	2	2	no	—
791	C₂²⋊C₈	—	2	2	no	—
792	C₂²⋊C₈	—	2	2	no	—
793	C₂²⋊C₈	—	2	2	no	—
794	C₂²⋊C₈	—	2	2	no	—
795	C₂²⋊C₈	—	2	2	no	—
796	C₂²⋊C₈	—	2	2	no	—
797	C₂²⋊C₈	—	2	2	no	—
798	C₂²⋊C₈	—	2	2	no	—
799	C₂²⋊C₈	—	2	2	no	—
800	C₂²⋊C₈	—	2	2	no	—
801	C₂²⋊C₈	—	2	2	no	—
802	C₂²⋊C₈	—	2	2	no	—
803	C₂²⋊C₈	—	4	1	no	—
804	C₂²⋊C₈	—	4	1	no	—
805	C₂²⋊C₈	—	4	1	no	—
806	C₂²⋊C₈	—	4	1	no	—
807	C₂²⋊C₈	—	4	1	no	—
808	C₂²⋊C₈	—	4	1	no	—
809	C₂²⋊C₈	—	4	1	no	—
810	C₂²⋊C₈	—	4	1	no	—
811	C₂²⋊C₈	C₂×D₄	1	4	yes	—
812	C₂²⋊C₈	C₂×D₄	1	4	yes	—
813	#97	—	2	2	no	—
814	#97	—	2	2	no	—
815	#97	—	2	2	no	—
816	#97	—	2	2	no	—
817	#97	—	2	2	no	—
818	#97	—	2	2	no	—
819	#97	—	2	2	no	—
820	#97	—	2	2	no	—
821	#97	—	2	2	no	—
822	#97	—	4	1	no	—
823	#97	—	4	1	no	—
824	#97	C₂×D₄	1	4	yes	complemented
825	C₄×C₈	—	2	2	no	—
826	C₄×C₈	—	2	2	no	—
827	C₄×C₈	—	2	2	no	—
828	C₄×C₈	—	2	2	no	—
829	C₄×C₈	—	2	2	no	—
830	C₄×C₈	—	2	2	no	—
831	C₄×C₈	—	2	2	no	—
832	C₄×C₈	—	2	2	no	—
833	C₄×C₈	—	2	2	no	—
834	C₄×C₈	—	4	1	no	—
835	C₄×C₈	—	4	1	no	—
836	C₄×C₈	C₂×D₄	1	4	yes	complemented
837	#95	C₂²×C₄	1	1	yes	characteristic
838	#95	C₂²×C₄	1	1	yes	characteristic
839	#95	C₂²×C₄	1	1	yes	characteristic
840	#95	C₂²×C₄	1	1	yes	characteristic
841	#95	C₂²×C₄	1	1	yes	characteristic
842	#95	C₂²×C₄	1	1	yes	characteristic
843	#95	C₂²×C₄	1	1	yes	characteristic
844	#95	C₂²×C₄	1	1	yes	characteristic
845	#95	C₂²×C₄	1	1	yes	characteristic
846	#95	C₂²×C₄	1	1	yes	characteristic
847	#95	C₂²×C₄	1	1	yes	characteristic
848	#95	C₂²×C₄	1	1	yes	characteristic
849	#95	C₂²×C₄	1	1	yes	characteristic
850	#95	C₂²×C₄	1	1	yes	characteristic
851	#95	C₂²×C₄	1	1	yes	characteristic
852	#95	C₂²×C₄	1	1	yes	characteristic
853	#95	C₂²×C₄	1	1	yes	characteristic
854	#95	C₂²×C₄	1	1	yes	characteristic
855	#95	C₂²×C₄	1	1	yes	characteristic
856	#95	C₂²×C₄	1	1	yes	characteristic
857	#95	C₂²×C₄	1	1	yes	characteristic
858	#95	C₂²×C₄	1	1	yes	characteristic
859	#95	C₂²×C₄	1	1	yes	characteristic
860	#95	C₂²×C₄	1	1	yes	characteristic
861	#95	C₂²×C₄	1	1	yes	characteristic
862	#95	C₂²×C₄	1	1	yes	characteristic
863	#95	C₂²×C₄	1	1	yes	characteristic
864	#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	C₂⁴	—	2	2	no	—
870	C₂⁴	—	2	2	no	—
871	C₂⁴	—	2	2	no	—
872	C₂⁴	—	2	2	no	—
873	C₂⁴	—	2	2	no	—
874	C₂⁴	—	2	2	no	—
875	C₂⁴	—	2	2	no	—
876	C₂⁴	—	4	1	no	—
877	C₂⁴	—	4	1	no	—
878	C₂⁴	—	4	1	no	—
879	C₂⁴	—	4	1	no	—
880	C₂⁴	—	4	1	no	—
881	C₂⁴	—	4	1	no	—
882	C₂⁴	—	4	1	no	—
883	C₂⁴	C₂³×C₄	1	1	yes	characteristic
884	C₂⁴	C₂³×C₄	1	1	yes	characteristic
885	C₂⁴	C₂³×C₄	1	1	yes	characteristic
886	C₂⁴	C₂³×C₄	1	1	yes	characteristic
887	C₂⁴	C₂³×C₄	1	1	yes	characteristic
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	4	1	no	—
897	C₂×D₄	—	4	1	no	—
898	C₂×D₄	—	4	16	no	—
899	C₂×D₄	#117	1	4	yes	—
900	C₂×D₄	#131	1	4	yes	—
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	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	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	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	4	1	no	—
955	C₂²×C₄	—	4	1	no	—
956	C₂²×C₄	—	4	1	no	—
957	C₂²×C₄	—	4	1	no	—
958	C₂²×C₄	—	4	1	no	—
959	C₂²×C₄	—	4	1	no	—
960	C₂²×C₄	—	4	1	no	—
961	C₂²×C₄	—	4	1	no	—
962	C₂²×C₄	—	4	1	no	—
963	C₂²×C₄	—	4	1	no	—
964	C₂²×C₄	—	4	1	no	—
965	C₂²×C₄	—	4	1	no	—
966	C₂²×C₄	—	4	1	no	—
967	C₂²×C₄	—	4	4	no	—
968	C₂²×C₄	—	4	4	no	—
969	C₂²×C₄	—	4	4	no	—
970	C₂²×C₄	—	4	4	no	—
971	C₂²×C₄	—	4	4	no	—
972	C₂²×C₄	—	4	4	no	—
973	C₂²×C₄	—	4	4	no	—
974	C₂²×C₄	—	4	4	no	—
975	C₂²×C₄	—	4	1	no	—
976	C₂²×C₄	—	4	1	no	—
977	C₂²×C₄	—	4	1	no	—
978	C₂²×C₄	—	4	1	no	—
979	C₂²×C₄	—	4	1	no	—
980	C₂²×C₄	—	4	1	no	—
981	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
982	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
983	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
984	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
985	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
986	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
987	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
988	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
989	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
990	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
991	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
992	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
993	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
994	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
995	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
996	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
997	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
998	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
999	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1000	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1001	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1003	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1005	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1006	C₂²×C₄	C₂²×D₄	1	2	yes	—
1007	C₂²×C₄	C₂×#41	1	2	yes	—
1008	C₂²×C₄	C₂×#41	1	2	yes	—
1009	C₂²×C₄	C₂×#41	1	2	yes	—
1010	C₂²×C₄	C₂×#41	1	2	yes	—
1011	C₂²×C₄	C₂×#41	1	2	yes	—
1012	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1013	M₁₆	—	4	4	no	—
1014	M₁₆	—	4	4	no	—
1015	C₂×C₈	—	2	1	no	—
1016	C₂×C₈	—	2	1	no	—
1017	C₂×C₈	—	2	1	no	—
1018	C₂×C₈	—	2	1	no	—
1019	C₂×C₈	—	2	1	no	—
1020	C₂×C₈	—	2	1	no	—
1021	C₂×C₈	—	2	1	no	—
1022	C₂×C₈	—	2	1	no	—
1023	C₂×C₈	—	2	1	no	—
1024	C₂×C₈	—	2	1	no	—
1025	C₂×C₈	—	2	1	no	—
1026	C₂×C₈	—	2	1	no	—
1027	C₂×C₈	—	2	1	no	—
1028	C₂×C₈	—	2	1	no	—
1029	C₂×C₈	—	2	1	no	—
1030	C₂×C₈	—	2	1	no	—
1031	C₂×C₈	—	2	1	no	—
1032	C₂×C₈	—	2	1	no	—
1033	C₂×C₈	—	2	1	no	—
1034	C₂×C₈	—	2	1	no	—
1035	C₂×C₈	—	2	1	no	—
1036	C₂×C₈	—	2	1	no	—
1037	C₂×C₈	—	2	1	no	—
1038	C₂×C₈	—	2	1	no	—
1039	C₂×C₈	—	2	1	no	—
1040	C₂×C₈	—	2	1	no	—
1041	C₂×C₈	—	2	1	no	—
1042	C₂×C₈	—	2	1	no	—
1043	C₂×C₈	—	2	1	no	—
1044	C₂×C₈	—	2	1	no	—
1045	C₂×C₈	—	2	1	no	—
1046	C₂×C₈	—	2	1	no	—
1047	C₂×C₈	—	2	1	no	—
1048	C₂×C₈	—	2	1	no	—
1049	C₂×C₈	—	2	1	no	—
1050	C₂×C₈	—	2	1	no	—
1051	C₂×C₈	—	2	1	no	—
1052	C₂×C₈	—	2	1	no	—
1053	C₂×C₈	—	2	1	no	—
1054	C₂×C₈	—	2	1	no	—
1055	C₂×C₈	—	2	1	no	—
1056	C₂×C₈	—	2	1	no	—
1057	C₂×C₈	—	2	1	no	—
1058	C₂×C₈	—	2	1	no	—
1059	C₂×C₈	—	4	4	no	—
1060	C₂×C₈	—	4	4	no	—
1061	C₂×C₈	—	4	4	no	—
1062	C₂×C₈	—	4	4	no	—
1063	C₂×C₈	—	4	4	no	—
1064	C₂×C₈	—	4	4	no	—
1065	C₂×C₈	C₂²×D₄	1	2	yes	—
1066	C₂×C₈	C₂²×D₄	1	2	yes	—
1067	C₂×C₈	C₂²×D₄	1	2	yes	—
1068	C₂×C₈	C₂²×D₄	1	2	yes	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	4	1	no	—
1091	C₄⋊C₄	—	4	1	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	#117	1	4	yes	—
1095	C₄⋊C₄	C₄×D₄	1	4	yes	—
1096	C₄⋊C₄	C₄×D₄	1	4	yes	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	2	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	1	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	1	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	1	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	1	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	#117	1	4	yes	—
1134	C₂²⋊C₄	#117	1	4	yes	—
1135	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1136	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1137	C₄²	—	2	2	no	—
1138	C₄²	—	2	2	no	—
1139	C₄²	—	2	2	no	—
1140	C₄²	—	2	2	no	—
1141	C₄²	—	2	2	no	—
1142	C₄²	—	2	2	no	—
1143	C₄²	—	2	2	no	—
1144	C₄²	—	2	2	no	—
1145	C₄²	—	2	2	no	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	2	1	no	—
1150	C₄²	—	2	1	no	—
1151	C₄²	—	2	1	no	—
1152	C₄²	—	2	1	no	—
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	1	no	—
1157	C₄²	—	2	1	no	—
1158	C₄²	—	2	1	no	—
1159	C₄²	—	2	1	no	—
1160	C₄²	—	2	1	no	—
1161	C₄²	—	2	1	no	—
1162	C₄²	—	2	1	no	—
1163	C₄²	—	4	1	no	—
1164	C₄²	—	4	1	no	—
1165	C₄²	—	4	1	no	—
1166	C₄²	—	4	1	no	—
1167	C₄²	—	4	1	no	—
1168	C₄²	—	4	1	no	—
1169	C₄²	C₂²×D₄	1	2	yes	—
1170	C₄²	C₂²×D₄	1	2	yes	—
1171	C₄²	C₂×#41	1	2	yes	—
1172	C₄²	C₂×#41	1	2	yes	—
1173	C₄²	C₂×#41	1	2	yes	—
1174	C₄²	C₂×#41	1	2	yes	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	2	1	no	—
1198	C₂³	—	2	1	no	—
1199	C₂³	—	2	1	no	—
1200	C₂³	—	2	1	no	—
1201	C₂³	—	2	1	no	—
1202	C₂³	—	2	1	no	—
1203	C₂³	—	2	1	no	—
1204	C₂³	—	4	4	no	—
1205	C₂³	—	4	4	no	—
1206	C₂³	—	4	4	no	—
1207	C₂³	—	4	4	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	8	2	no	—
1212	C₂³	—	8	2	no	—
1213	C₂³	—	8	2	no	—
1214	C₂³	—	8	2	no	—
1215	C₂³	—	8	2	no	—
1216	C₂³	—	8	2	no	—
1217	C₂³	—	8	2	no	—
1218	C₂³	C₂×#117	1	2	yes	—
1219	C₂³	C₂×#117	1	2	yes	—
1220	C₂³	C₂×C₄×D₄	1	2	yes	—
1221	C₂³	C₂×#131	1	2	yes	—
1222	C₂³	C₂×#131	1	2	yes	—
1223	C₂³	#568	1	2	yes	—
1224	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	4	4	no	—
1228	D₄	—	4	4	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	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	4	4	no	—
1307	C₂×C₄	—	4	4	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	4	4	no	—
1310	C₂×C₄	—	4	4	no	—
1311	C₂×C₄	—	4	4	no	—
1312	C₂×C₄	—	4	4	no	—
1313	C₂×C₄	—	4	4	no	—
1314	C₂×C₄	—	4	4	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	1	no	—
1320	C₂×C₄	—	4	1	no	—
1321	C₂×C₄	—	4	1	no	—
1322	C₂×C₄	—	4	1	no	—
1323	C₂×C₄	—	4	1	no	—
1324	C₂×C₄	—	4	1	no	—
1325	C₂×C₄	—	4	1	no	—
1326	C₂×C₄	—	4	1	no	—
1327	C₂×C₄	—	8	2	no	—
1328	C₂×C₄	—	8	2	no	—
1329	C₂×C₄	—	8	2	no	—
1330	C₂×C₄	C₂×#117	1	2	yes	—
1331	C₂×C₄	C₂×#117	1	2	yes	—
1332	C₂×C₄	C₂×#117	1	2	yes	—
1333	C₂×C₄	C₂×#117	1	2	yes	—
1334	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1335	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1336	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1337	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1338	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1339	C₂×C₄	C₂×#131	1	2	yes	—
1340	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1341	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1342	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1343	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1344	C₂×C₄	#585	1	1	yes	characteristic
1345	C₂×C₄	#585	1	1	yes	characteristic
1346	C₈	—	2	2	no	—
1347	C₈	—	2	2	no	—
1348	C₈	—	2	2	no	—
1349	C₈	—	2	2	no	—
1350	C₈	—	4	1	no	—
1351	C₈	—	4	1	no	—
1352	C₈	—	4	1	no	—
1353	C₈	—	4	1	no	—
1354	C₈	—	4	1	no	—
1355	C₈	—	4	1	no	—
1356	C₈	—	4	1	no	—
1357	C₈	—	4	1	no	—
1358	C₈	—	4	1	no	—
1359	C₈	—	4	1	no	—
1360	C₈	—	4	1	no	—
1361	C₈	—	4	1	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	2	no	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	4	1	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	8	8	no	—
1397	C₂²	—	8	8	no	—
1398	C₂²	#2924	1	4	yes	complemented
1399	C₂²	C₂²×#117	1	1	yes	characteristic
1400	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1401	C₂²	#3428	1	1	yes	characteristic
1402	C₂²	C₂²×#131	1	1	yes	characteristic
1403	C₂²	C₂×#568	1	1	yes	characteristic
1404	C₂²	#3573	1	1	yes	characteristic
1405	C₂²	#3573	1	1	yes	characteristic
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	2	2	no	—
1415	C₄	—	2	2	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	D₄×#41	1	1	yes	characteristic
1432	C₄	D₄×#41	1	1	yes	characteristic
1433	C₄	#3475	1	1	yes	characteristic
1434	C₄	#3475	1	1	yes	characteristic
1435	C₂	—	2	4	no	—
1436	C₂	—	4	2	no	—
1437	C₂	—	4	2	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	8	1	no	—
1440	C₂	D₄×#117	1	1	yes	characteristic
1441	C₂	C₂×#2924	1	1	yes	characteristic
1442	C₂	#60129	1	1	yes	characteristic
1443	C₂	D₄×#131	1	1	yes	characteristic
1444	C₂	#60146	1	1	yes	characteristic
1445	C₂	#60298	1	1	yes	characteristic
1446	C₂	#60299	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂³×D₄	C₂×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×#2924	C₂	semidirect
2. C₂²×#433	C₂	semidirect
4. #22801	C₂	semidirect
5. #22800	C₂	semidirect
6. #22757	C₂	semidirect
7. #22756	C₂	semidirect
8. #22750	C₂	semidirect
9. #22748	C₂	semidirect
10. #22647	C₂	semidirect
11. #22647	C₂	semidirect
12. #22602	C₂	semidirect
13. #22600	C₂	semidirect
14. #22559	C₂	semidirect
15. #22558	C₂	semidirect
16. #22558	C₂	semidirect
17. #22558	C₂	semidirect
20. #21273	C₂	semidirect
21. #21272	C₂	semidirect
22. #21111	C₂	semidirect
23. #21110	C₂	semidirect
24. #21107	C₂	semidirect
25. #21101	C₂	semidirect
26. #20813	C₂	semidirect
27. #20716	C₂	semidirect
28. #20716	C₂	semidirect
29. #20493	C₂	semidirect
30. #20484	C₂	semidirect
31. #20468	C₂	semidirect
49. C₂×#433	C₂²	semidirect
50. C₂×#433	C₂²	semidirect
51. C₂×#433	C₂²	semidirect
52. C₂×#433	C₂²	semidirect
53. C₂×#432	C₂²	semidirect
54. C₂×#432	C₂²	semidirect
55. C₂×#431	C₂²	semidirect
56. C₂×#431	C₂²	semidirect
57. C₂×#424	C₂²	semidirect
58. C₂×#424	C₂²	semidirect
59. C₂²×C₄⋊C₈	C₂²	semidirect
60. C₂²×C₄⋊C₈	C₂²	semidirect
65. C₂×#405	C₂²	semidirect
66. C₂×#405	C₂²	semidirect
67. C₂²×#97	C₂²	semidirect
68. C₂²×C₄×C₈	C₂²	semidirect
101. #1940	C₂²	semidirect
102. #1940	C₂²	semidirect
103. #1939	C₂²	semidirect
104. #1939	C₂²	semidirect
105. #1924	C₂²	semidirect
106. #1924	C₂²	semidirect
107. #1924	C₂²	semidirect
108. #1924	C₂²	semidirect
109. #1924	C₂²	semidirect
110. #1924	C₂²	semidirect
111. #1924	C₂²	semidirect
112. #1924	C₂²	semidirect
113. #1923	C₂²	semidirect
114. #1923	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. #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
137. #1851	C₂²	semidirect
138. #1851	C₂²	semidirect
139. #1850	C₂²	semidirect
140. #1850	C₂²	semidirect
141. #1850	C₂²	semidirect
142. #1850	C₂²	semidirect
143. #1850	C₂²	semidirect
144. #1850	C₂²	semidirect
145. #1843	C₂²	semidirect
146. #1843	C₂²	semidirect
147. #1831	C₂²	semidirect
148. #1831	C₂²	semidirect
155. #1798	C₂²	semidirect
156. #1798	C₂²	semidirect
157. #1798	C₂²	semidirect
158. #1798	C₂²	semidirect
161. #1797	C₂²	semidirect
162. #1797	C₂²	semidirect
163. #1797	C₂²	semidirect
164. #1797	C₂²	semidirect
169. #1771	C₂²	semidirect
170. #1771	C₂²	semidirect
171. #1770	C₂²	semidirect
172. C₈×C₄⋊C₄	C₂²	semidirect
173. #1768	C₂²	semidirect
174. #1768	C₂²	semidirect
175. #1768	C₂²	semidirect
176. #1768	C₂²	semidirect
177. #1767	C₂²	semidirect
178. #1767	C₂²	semidirect
179. C₄×C₄⋊C₈	C₂²	semidirect
180. C₄×C₄⋊C₈	C₂²	semidirect
181. #1753	C₂²	semidirect
182. #1753	C₂²	semidirect
183. #1752	C₂²	semidirect
184. #1752	C₂²	semidirect
185. #1752	C₂²	semidirect
186. C₈×C₂²⋊C₄	C₂²	semidirect
187. C₈×C₂²⋊C₄	C₂²	semidirect
188. C₈×C₂²⋊C₄	C₂²	semidirect
191. #1750	C₂²	semidirect
192. #1750	C₂²	semidirect
193. #1750	C₂²	semidirect
194. #1750	C₂²	semidirect
196. #1749	C₂²	semidirect
197. #1749	C₂²	semidirect
199. C₄×C₂²⋊C₈	C₂²	semidirect
200. C₄×C₂²⋊C₈	C₂²	semidirect
201. #1745	C₂²	semidirect
202. #1744	C₂²	semidirect
203. #1726	C₂²	semidirect
204. #1726	C₂²	semidirect
281. #433	D₄	semidirect
779. C₄⋊C₈	C₂×D₄	semidirect
780. C₄⋊C₈	C₂×D₄	semidirect
824. #97	C₂×D₄	semidirect
836. C₄×C₈	C₂×D₄	semidirect
1398. C₂²	#2924	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2924	2
C₂²×#433	2
D₄×#117	2
#22801	2
#22800	2
#22757	2
#22756	2
#22750	2
#22748	2
#22647	2
#22602	2
#22600	2
#22559	2
#22558	2
#22399	2
D₄×C₂²⋊C₈	2
#21273	2
#21272	2
#21111	2
#21110	2
#21107	2
#21101	2
#20813	2
#20716	2
#20493	2
#20484	2
#20468	2