Subgroups — #6402065

Order 512.

1607 conjugacy classes of subgroups.

The subgroup lattice has 1306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#553	C₂	1	1	yes	maximal, characteristic
2	#23290	C₂	1	1	yes	maximal, characteristic, complemented
3	#23288	C₂	1	1	yes	maximal, characteristic, complemented
4	#23255	C₂	1	1	yes	maximal, characteristic, complemented
5	#23086	C₂	1	1	yes	maximal, characteristic, complemented
6	#23086	C₂	1	1	yes	maximal, characteristic, complemented
7	#23086	C₂	1	1	yes	maximal, characteristic, complemented
8	#23083	C₂	1	1	yes	maximal, characteristic, complemented
9	#22908	C₂	1	1	yes	maximal, characteristic, complemented
10	#22904	C₂	1	1	yes	maximal, characteristic, complemented
11	#22799	C₂	1	1	yes	maximal, characteristic, complemented
12	#22797	C₂	1	1	yes	maximal, characteristic, complemented
13	#22788	C₂	1	1	yes	maximal, characteristic, complemented
14	#22787	C₂	1	1	yes	maximal, characteristic, complemented
15	#22641	C₂	1	1	yes	maximal, characteristic, complemented
16	#22601	C₂	1	1	yes	maximal, characteristic, complemented
17	#22367	C₂	1	1	yes	maximal, characteristic, complemented
18	#22361	C₂	1	1	yes	maximal, characteristic, complemented
19	#22335	C₂	1	1	yes	maximal, characteristic, complemented
20	#22329	C₂	1	1	yes	maximal, characteristic, complemented
21	#22305	C₂	1	1	yes	maximal, characteristic, complemented
22	#22143	C₂	1	1	yes	maximal, characteristic, complemented
23	#21667	C₂	1	1	yes	maximal, characteristic, complemented
24	#21665	C₂	1	1	yes	maximal, characteristic, complemented
25	#21489	C₂	1	1	yes	maximal, characteristic, complemented
26	#21270	C₂	1	1	yes	maximal, characteristic, complemented
27	#21265	C₂	1	1	yes	maximal, characteristic, complemented
28	#21107	C₂	1	1	yes	maximal, characteristic, complemented
29	#20559	C₂	1	1	yes	maximal, characteristic, complemented
30	#20534	C₂	1	1	yes	maximal, characteristic, complemented
31	#20479	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#553	C₄	1	1	yes	characteristic
33	C₂×#435	C₂²	1	1	yes	characteristic
34	C₂×#435	C₂²	1	1	yes	characteristic
35	C₂×#435	C₂²	1	1	yes	characteristic
36	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
37	C₂×#432	C₂²	1	1	yes	characteristic
38	C₂×#432	C₂²	1	1	yes	characteristic
39	C₂×#432	C₂²	1	1	yes	characteristic
40	C₂×#432	C₂²	1	1	yes	characteristic
41	C₂×#432	C₂²	1	1	yes	characteristic
42	C₂×#431	C₂²	1	1	yes	characteristic
43	C₂×#431	C₂²	1	1	yes	characteristic
44	C₂²×#97	C₂²	1	1	yes	characteristic
45	#2374	C₄	1	1	yes	characteristic
46	#2374	C₄	1	1	yes	characteristic
47	#2373	C₄	1	1	yes	characteristic
48	#2373	C₄	1	1	yes	characteristic
49	#2370	C₄	1	1	yes	characteristic
50	#2364	C₄	1	1	yes	characteristic
51	#2364	C₄	1	1	yes	characteristic
52	#2363	C₄	1	1	yes	characteristic
53	#2361	C₄	1	1	yes	characteristic
54	#2357	C₄	1	1	yes	characteristic
55	#2353	C₄	1	1	yes	characteristic
56	#2353	C₄	1	1	yes	characteristic
57	#2352	C₄	1	1	yes	characteristic
58	#2347	C₄	1	1	yes	characteristic
59	#2345	C₄	1	1	yes	characteristic
60	C₄×#125	C₂²	1	1	yes	characteristic
61	C₄×#126	C₂²	1	1	yes	characteristic
62	C₄×#126	C₂²	1	1	yes	characteristic
63	C₄×#123	C₂²	1	1	yes	characteristic
64	C₄×#123	C₂²	1	1	yes	characteristic
65	C₄×#121	C₂²	1	1	yes	characteristic
66	C₄×#121	C₂²	1	1	yes	characteristic
67	C₄×#121	C₂²	1	1	yes	characteristic
68	C₄×#121	C₂²	1	1	yes	characteristic
69	C₄²×D₄	C₂²	1	1	yes	characteristic
70	C₄²×D₄	C₂²	1	1	yes	characteristic
71	C₄²×D₄	C₂²	1	1	yes	characteristic
72	C₄²×D₄	C₂²	1	1	yes	characteristic
73	C₄×#117	C₂²	1	1	yes	characteristic
74	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
75	#1955	C₂²	1	1	yes	characteristic
76	#1955	C₂²	1	1	yes	characteristic
77	#1955	C₂²	1	1	yes	characteristic
78	#1955	C₂²	1	1	yes	characteristic
79	#1955	C₂²	1	1	yes	characteristic
80	#1954	C₂²	1	1	yes	characteristic
81	#1954	C₂²	1	1	yes	characteristic
82	#1954	C₂²	1	1	yes	characteristic
83	#1954	C₂²	1	1	yes	characteristic
84	#1954	C₂²	1	1	yes	characteristic
85	#1940	C₂²	1	1	yes	characteristic
86	#1940	C₂²	1	1	yes	characteristic
87	#1940	C₂²	1	1	yes	characteristic
88	#1940	C₂²	1	1	yes	characteristic
89	#1940	C₂²	1	1	yes	characteristic
90	#1940	C₂²	1	1	yes	characteristic
91	#1940	C₂²	1	1	yes	characteristic
92	#1939	C₂²	1	1	yes	characteristic
93	#1939	C₂²	1	1	yes	characteristic
94	#1939	C₂²	1	1	yes	characteristic
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1924	C₂²	1	1	yes	characteristic
100	#1924	C₂²	1	1	yes	characteristic
101	#1924	C₂²	1	1	yes	characteristic
102	#1924	C₂²	1	1	yes	characteristic
103	#1924	C₂²	1	1	yes	characteristic
104	#1924	C₂²	1	1	yes	characteristic
105	#1924	C₂²	1	1	yes	characteristic
106	#1924	C₂²	1	1	yes	characteristic
107	#1924	C₂²	1	1	yes	characteristic
108	#1924	C₂²	1	1	yes	characteristic
109	#1924	C₂²	1	1	yes	characteristic
110	#1924	C₂²	1	1	yes	characteristic
111	#1924	C₂²	1	1	yes	characteristic
112	#1923	C₂²	1	1	yes	characteristic
113	#1923	C₂²	1	1	yes	characteristic
114	#1923	C₂²	1	1	yes	characteristic
115	#1923	C₂²	1	1	yes	characteristic
116	#1923	C₂²	1	1	yes	characteristic
117	#1917	C₂²	1	1	yes	characteristic
118	#1917	C₂²	1	1	yes	characteristic
119	#1917	C₂²	1	1	yes	characteristic
120	#1917	C₂²	1	1	yes	characteristic
121	#1917	C₂²	1	1	yes	characteristic
122	#1917	C₂²	1	1	yes	characteristic
123	#1917	C₂²	1	1	yes	characteristic
124	#1916	C₂²	1	1	yes	characteristic
125	#1916	C₂²	1	1	yes	characteristic
126	#1916	C₂²	1	1	yes	characteristic
127	#1916	C₂²	1	1	yes	characteristic
128	#1916	C₂²	1	1	yes	characteristic
129	#1916	C₂²	1	1	yes	characteristic
130	#1916	C₂²	1	1	yes	characteristic
131	#1870	C₂²	1	1	yes	characteristic
132	#1870	C₂²	1	1	yes	characteristic
133	#1870	C₂²	1	1	yes	characteristic
134	#1869	C₂²	1	1	yes	characteristic
135	#1869	C₂²	1	1	yes	characteristic
136	#1869	C₂²	1	1	yes	characteristic
137	#1869	C₂²	1	1	yes	characteristic
138	#1869	C₂²	1	1	yes	characteristic
139	#1869	C₂²	1	1	yes	characteristic
140	#1869	C₂²	1	1	yes	characteristic
141	#1851	C₂²	1	1	yes	characteristic
142	#1850	C₂²	1	1	yes	characteristic
143	#1850	C₂²	1	1	yes	characteristic
144	#1850	C₂²	1	1	yes	characteristic
145	#1842	C₂²	1	1	yes	characteristic
146	#1839	C₂²	1	1	yes	characteristic
147	#1839	C₂²	1	1	yes	characteristic
148	#1817	C₂²	1	1	yes	characteristic
149	#1817	C₂²	1	1	yes	characteristic
150	#1797	C₂²	1	1	yes	characteristic
151	#1797	C₂²	1	1	yes	characteristic
152	#1797	C₂²	1	1	yes	characteristic
153	#1797	C₂²	1	1	yes	characteristic
154	#1771	C₂²	1	1	yes	characteristic
155	#1771	C₂²	1	1	yes	characteristic
156	#1771	C₂²	1	1	yes	characteristic
157	#1771	C₂²	1	1	yes	characteristic
158	#1771	C₂²	1	1	yes	characteristic
159	#1771	C₂²	1	1	yes	characteristic
160	#1771	C₂²	1	1	yes	characteristic
161	#1771	C₂²	1	1	yes	characteristic
162	#1771	C₂²	1	1	yes	characteristic
163	#1771	C₂²	1	1	yes	characteristic
164	#1771	C₂²	1	1	yes	characteristic
165	#1771	C₂²	1	1	yes	characteristic
166	#1771	C₂²	1	1	yes	characteristic
167	#1770	C₂²	1	1	yes	characteristic
168	#1770	C₂²	1	1	yes	characteristic
169	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	#1767	C₂²	1	1	yes	characteristic
171	#1767	C₂²	1	1	yes	characteristic
172	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
173	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
174	#1753	C₂²	1	1	yes	characteristic
175	#1753	C₂²	1	1	yes	characteristic
176	#1753	C₂²	1	1	yes	characteristic
177	#1753	C₂²	1	1	yes	characteristic
178	#1753	C₂²	1	1	yes	characteristic
179	#1752	C₂²	1	1	yes	characteristic
180	#1752	C₂²	1	1	yes	characteristic
181	#1752	C₂²	1	1	yes	characteristic
182	#1752	C₂²	1	1	yes	characteristic
183	#1752	C₂²	1	1	yes	characteristic
184	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
188	#1749	C₂²	1	1	yes	characteristic
189	#1749	C₂²	1	1	yes	characteristic
190	#1749	C₂²	1	1	yes	characteristic
191	#1749	C₂²	1	1	yes	characteristic
192	#1749	C₂²	1	1	yes	characteristic
193	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
194	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
195	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
196	#1745	C₂²	1	1	yes	characteristic
197	#1745	C₂²	1	1	yes	characteristic
198	#1745	C₂²	1	1	yes	characteristic
199	#1728	C₂²	1	1	yes	characteristic
200	C₂×#336	C₂²	1	1	yes	characteristic
201	C₄×#97	C₂²	1	1	yes	characteristic
202	C₄×#97	C₂²	1	1	yes	characteristic
203	C₂²×M₁₆	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	C₂³	1	1	yes	characteristic
205	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₂³×C₈	C₂³	1	1	yes	characteristic
209	#553	—	2	8	no	—
210	C₂×#126	C₂×C₄	1	1	yes	characteristic
211	C₂×#126	C₂×C₄	1	1	yes	characteristic
212	C₂×#125	C₂×C₄	1	1	yes	characteristic
213	C₂×#123	C₂×C₄	1	1	yes	characteristic
214	C₂×#123	C₂×C₄	1	1	yes	characteristic
215	C₂×#121	C₂×C₄	1	1	yes	characteristic
216	C₂×#121	C₂×C₄	1	1	yes	characteristic
217	C₂×#121	C₂×C₄	1	1	yes	characteristic
218	C₂×#121	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	C₂×C₄	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×C₄×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
233	C₂×#117	C₂×C₄	1	1	yes	characteristic
234	C₂×#117	C₂×C₄	1	1	yes	characteristic
235	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
236	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
237	C₂²×C₄²	C₂³	1	1	yes	characteristic
238	C₂²×C₄²	C₂³	1	1	yes	characteristic
239	C₂²×C₄²	C₂³	1	1	yes	characteristic
240	C₂²×C₄²	C₂³	1	1	yes	characteristic
241	C₂²×C₄²	C₂³	1	1	yes	characteristic
242	C₂²×C₄²	C₂³	1	1	yes	characteristic
243	#435	—	2	4	no	—
244	#435	—	2	4	no	—
245	#435	—	4	2	no	—
246	C₈×D₄	—	4	2	no	—
247	#432	—	2	4	no	—
248	#432	—	2	4	no	—
249	#432	—	2	4	no	—
250	#432	—	4	2	no	—
251	#432	—	4	2	no	—
252	#431	—	4	2	no	—
253	#431	—	4	2	no	—
254	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×#97	—	2	4	no	—
301	C₂×#97	C₂³	1	1	yes	characteristic
302	C₂×#97	C₂³	1	1	yes	characteristic
303	C₂×#97	C₂³	1	1	yes	characteristic
304	C₂×#97	C₂³	1	1	yes	characteristic
305	C₂×#97	C₂³	1	1	yes	characteristic
306	C₂×#97	C₂³	1	1	yes	characteristic
307	C₂×#97	C₂³	1	1	yes	characteristic
308	C₂×#97	C₂³	1	1	yes	characteristic
309	C₂×#97	C₂³	1	1	yes	characteristic
310	C₂×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×#97	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×#97	C₂³	1	1	yes	characteristic
317	C₂×#97	C₂³	1	1	yes	characteristic
318	C₂×#97	C₂³	1	1	yes	characteristic
319	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
320	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
321	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
322	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
327	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
329	#390	C₂×C₄	1	1	yes	characteristic
330	#390	C₂×C₄	1	1	yes	characteristic
331	#390	C₂×C₄	1	1	yes	characteristic
332	#390	C₂×C₄	1	1	yes	characteristic
333	#389	C₂×C₄	1	1	yes	characteristic
334	#389	C₂×C₄	1	1	yes	characteristic
335	#389	C₂×C₄	1	1	yes	characteristic
336	#389	C₂×C₄	1	1	yes	characteristic
337	#389	C₂×C₄	1	1	yes	characteristic
338	#389	C₂×C₄	1	1	yes	characteristic
339	#388	C₂×C₄	1	1	yes	characteristic
340	#388	C₂×C₄	1	1	yes	characteristic
341	#388	C₂×C₄	1	1	yes	characteristic
342	#388	C₂×C₄	1	1	yes	characteristic
343	#388	C₂×C₄	1	1	yes	characteristic
344	#388	C₂×C₄	1	1	yes	characteristic
345	#388	C₂×C₄	1	1	yes	characteristic
346	#388	C₂×C₄	1	1	yes	characteristic
347	#388	C₂×C₄	1	1	yes	characteristic
348	#388	C₂×C₄	1	1	yes	characteristic
349	#388	C₂×C₄	1	1	yes	characteristic
350	#388	C₂×C₄	1	1	yes	characteristic
351	#388	C₂×C₄	1	1	yes	characteristic
352	#388	C₂×C₄	1	1	yes	characteristic
353	#388	C₂×C₄	1	1	yes	characteristic
354	#388	C₂×C₄	1	1	yes	characteristic
355	#388	C₂×C₄	1	1	yes	characteristic
356	#388	C₂×C₄	1	1	yes	characteristic
357	#387	C₂×C₄	1	1	yes	characteristic
358	#387	C₂×C₄	1	1	yes	characteristic
359	#387	C₂×C₄	1	1	yes	characteristic
360	#387	C₂×C₄	1	1	yes	characteristic
361	#387	C₂×C₄	1	1	yes	characteristic
362	#387	C₂×C₄	1	1	yes	characteristic
363	#387	C₂×C₄	1	1	yes	characteristic
364	#387	C₂×C₄	1	1	yes	characteristic
365	#387	C₂×C₄	1	1	yes	characteristic
366	#387	C₂×C₄	1	1	yes	characteristic
367	#387	C₂×C₄	1	1	yes	characteristic
368	#387	C₂×C₄	1	1	yes	characteristic
369	#387	C₂×C₄	1	1	yes	characteristic
370	#387	C₂×C₄	1	1	yes	characteristic
371	#386	C₂×C₄	1	1	yes	characteristic
372	#386	C₂×C₄	1	1	yes	characteristic
373	#386	C₂×C₄	1	1	yes	characteristic
374	#386	C₂×C₄	1	1	yes	characteristic
375	#386	C₂×C₄	1	1	yes	characteristic
376	#386	C₂×C₄	1	1	yes	characteristic
377	#386	C₂×C₄	1	1	yes	characteristic
378	#386	C₂×C₄	1	1	yes	characteristic
379	#386	C₂×C₄	1	1	yes	characteristic
380	#386	C₂×C₄	1	1	yes	characteristic
381	#385	C₂×C₄	1	1	yes	characteristic
382	#385	C₂×C₄	1	1	yes	characteristic
383	#383	C₂×C₄	1	1	yes	characteristic
384	#383	C₂×C₄	1	1	yes	characteristic
385	#382	C₂×C₄	1	1	yes	characteristic
386	#381	C₂×C₄	1	1	yes	characteristic
387	#381	C₂×C₄	1	1	yes	characteristic
388	#380	C₂×C₄	1	1	yes	characteristic
389	#380	C₂×C₄	1	1	yes	characteristic
390	#380	C₂×C₄	1	1	yes	characteristic
391	#380	C₂×C₄	1	1	yes	characteristic
392	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
394	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
396	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
397	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
398	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
399	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
400	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
401	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
402	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
409	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
410	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
415	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
417	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
418	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
422	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
424	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
425	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
428	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
429	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
430	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
431	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
432	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
443	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
444	#376	C₂×C₄	1	1	yes	characteristic
445	#376	C₂×C₄	1	1	yes	characteristic
446	C₂×#95	C₂×C₄	1	1	yes	characteristic
447	C₂×#95	C₂×C₄	1	1	yes	characteristic
448	C₄³	C₂³	1	1	yes	characteristic
449	C₄³	C₂³	1	1	yes	characteristic
450	C₄³	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
492	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
493	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
494	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
495	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
496	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
497	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
498	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
499	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
500	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
501	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
502	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
503	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
505	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
506	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
507	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂³×C₄	C₂⁴	1	1	yes	characteristic
510	C₂³×C₄	C₂⁴	1	1	yes	characteristic
511	C₂³×C₄	C₂⁴	1	1	yes	characteristic
512	C₂³×C₄	C₂⁴	1	1	yes	characteristic
513	C₂×M₁₆	—	2	2	no	—
514	C₂×M₁₆	—	2	2	no	—
515	C₂×M₁₆	—	4	1	no	—
516	C₂×M₁₆	—	4	1	no	—
517	C₂×M₁₆	—	4	1	no	—
518	C₂×M₁₆	—	4	1	no	—
519	C₂²×C₈	—	2	2	no	—
520	C₂²×C₈	—	2	2	no	—
521	C₂²×C₈	—	2	2	no	—
522	C₂²×C₈	—	2	2	no	—
523	C₂²×C₈	—	2	2	no	—
524	C₂²×C₈	—	4	1	no	—
525	C₂²×C₈	—	4	1	no	—
526	C₂²×C₈	—	4	1	no	—
527	C₂²×C₈	—	4	1	no	—
528	C₂²×C₈	—	4	1	no	—
529	C₂²×C₈	—	4	1	no	—
530	C₂²×C₈	—	4	1	no	—
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	C₂²×C₈	C₂⁴	1	1	yes	characteristic
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₂²×C₈	C₂⁴	1	1	yes	characteristic
537	C₂²×C₈	C₂⁴	1	1	yes	characteristic
538	C₂²×C₈	C₂⁴	1	1	yes	characteristic
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₂²×C₈	C₂⁴	1	1	yes	characteristic
541	C₂²×C₈	C₂⁴	1	1	yes	characteristic
542	C₂²×C₈	C₂⁴	1	1	yes	characteristic
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	#126	—	2	4	no	—
548	#126	—	2	4	no	—
549	#125	—	2	4	no	—
550	#123	—	2	4	no	—
551	#123	—	2	4	no	—
552	#121	—	2	4	no	—
553	#121	—	2	4	no	—
554	#121	—	2	4	no	—
555	#121	M₁₆	1	8	yes	complemented
556	C₄×D₄	—	2	4	no	—
557	C₄×D₄	—	2	4	no	—
558	C₄×D₄	—	2	4	no	—
559	C₄×D₄	—	2	4	no	—
560	C₄×D₄	—	2	2	no	—
561	C₄×D₄	—	2	2	no	—
562	C₄×D₄	—	4	2	no	—
563	C₄×D₄	—	4	1	no	—
564	C₄×D₄	—	4	1	no	—
565	C₄×D₄	—	4	1	no	—
566	C₄×D₄	—	4	1	no	—
567	C₄×D₄	—	4	1	no	—
568	C₄×D₄	—	4	1	no	—
569	C₄×D₄	—	4	1	no	—
570	C₄×D₄	—	4	1	no	—
571	C₄×D₄	—	4	1	no	—
572	C₄×D₄	—	4	1	no	—
573	C₄×D₄	—	4	2	no	—
574	C₄×D₄	—	4	2	no	—
575	C₄×D₄	—	4	2	no	—
576	#117	—	2	4	no	—
577	#117	—	4	2	no	—
578	C₂×C₄⋊C₄	—	2	4	no	—
579	C₂×C₄⋊C₄	—	4	2	no	—
580	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄²	—	2	2	no	—
639	C₂×C₄²	—	2	2	no	—
640	C₂×C₄²	—	2	2	no	—
641	C₂×C₄²	—	2	2	no	—
642	C₂×C₄²	—	4	1	no	—
643	C₂×C₄²	—	4	1	no	—
644	C₂×C₄²	—	4	1	no	—
645	C₂×C₄²	—	4	1	no	—
646	C₂×C₄²	—	4	1	no	—
647	C₂×C₄²	—	4	1	no	—
648	C₂×C₄²	—	4	1	no	—
649	C₂×C₄²	—	4	1	no	—
650	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
676	C₂×C₄²	C₂⁴	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
684	C₂×C₄²	C₂⁴	1	1	yes	characteristic
685	C₄⋊C₈	—	2	2	no	—
686	C₄⋊C₈	—	2	2	no	—
687	C₄⋊C₈	—	2	2	no	—
688	C₄⋊C₈	—	2	2	no	—
689	C₄⋊C₈	—	2	2	no	—
690	C₄⋊C₈	—	2	2	no	—
691	C₄⋊C₈	—	2	2	no	—
692	C₄⋊C₈	—	2	2	no	—
693	C₄⋊C₈	—	4	1	no	—
694	C₄⋊C₈	—	4	1	no	—
695	C₄⋊C₈	—	4	1	no	—
696	C₄⋊C₈	—	4	1	no	—
697	C₄⋊C₈	—	4	1	no	—
698	C₄⋊C₈	—	4	1	no	—
699	C₄⋊C₈	—	4	1	no	—
700	C₄⋊C₈	—	4	1	no	—
701	C₄⋊C₈	—	4	1	no	—
702	C₄⋊C₈	—	4	1	no	—
703	C₄⋊C₈	—	4	1	no	—
704	C₄⋊C₈	#41	1	4	yes	—
705	C₂²⋊C₈	—	2	2	no	—
706	C₂²⋊C₈	—	2	2	no	—
707	C₂²⋊C₈	—	2	2	no	—
708	C₂²⋊C₈	—	2	2	no	—
709	C₂²⋊C₈	—	2	2	no	—
710	C₂²⋊C₈	—	2	2	no	—
711	C₂²⋊C₈	—	2	2	no	—
712	C₂²⋊C₈	—	2	2	no	—
713	C₂²⋊C₈	—	2	2	no	—
714	C₂²⋊C₈	—	2	2	no	—
715	C₂²⋊C₈	—	2	2	no	—
716	C₂²⋊C₈	—	2	2	no	—
717	C₂²⋊C₈	—	2	2	no	—
718	C₂²⋊C₈	—	4	1	no	—
719	C₂²⋊C₈	—	4	1	no	—
720	C₂²⋊C₈	—	4	1	no	—
721	C₂²⋊C₈	—	4	1	no	—
722	C₂²⋊C₈	—	4	1	no	—
723	C₂²⋊C₈	—	4	1	no	—
724	C₂²⋊C₈	—	4	1	no	—
725	C₂²⋊C₈	—	4	1	no	—
726	C₂²⋊C₈	—	4	1	no	—
727	C₂²⋊C₈	—	4	1	no	—
728	C₂²⋊C₈	—	4	1	no	—
729	C₂²⋊C₈	—	4	1	no	—
730	C₂²⋊C₈	—	4	1	no	—
731	#97	—	2	2	no	—
732	#97	—	2	2	no	—
733	#97	—	2	2	no	—
734	#97	—	2	2	no	—
735	#97	—	2	2	no	—
736	#97	—	2	2	no	—
737	#97	—	2	2	no	—
738	#97	—	2	2	no	—
739	#97	—	2	2	no	—
740	#97	—	2	2	no	—
741	#97	—	4	1	no	—
742	#97	—	4	1	no	—
743	#97	—	4	1	no	—
744	#97	—	4	1	no	—
745	#97	—	4	1	no	—
746	#97	—	4	1	no	—
747	#97	—	4	1	no	—
748	#97	#41	1	4	yes	—
749	C₄×C₈	—	2	2	no	—
750	C₄×C₈	—	4	1	no	—
751	C₄×C₈	—	4	1	no	—
752	C₄×C₈	—	4	1	no	—
753	C₄×C₈	—	4	1	no	—
754	C₄×C₈	—	4	1	no	—
755	C₄×C₈	—	4	1	no	—
756	C₄×C₈	—	4	1	no	—
757	C₄×C₈	—	4	1	no	—
758	C₄×C₈	—	4	1	no	—
759	#95	C₂²×C₄	1	1	yes	characteristic
760	#95	C₂²×C₄	1	1	yes	characteristic
761	#95	C₂²×C₄	1	1	yes	characteristic
762	#95	C₂²×C₄	1	1	yes	characteristic
763	#95	C₂²×C₄	1	1	yes	characteristic
764	#95	C₂²×C₄	1	1	yes	characteristic
765	#95	C₂²×C₄	1	1	yes	characteristic
766	#95	C₂²×C₄	1	1	yes	characteristic
767	#95	C₂²×C₄	1	1	yes	characteristic
768	#95	C₂²×C₄	1	1	yes	characteristic
769	#95	C₂²×C₄	1	1	yes	characteristic
770	#95	C₂²×C₄	1	1	yes	characteristic
771	#95	C₂²×C₄	1	1	yes	characteristic
772	#95	C₂²×C₄	1	1	yes	characteristic
773	#95	C₂²×C₄	1	1	yes	characteristic
774	#95	C₂²×C₄	1	1	yes	characteristic
775	#95	C₂²×C₄	1	1	yes	characteristic
776	#95	C₂²×C₄	1	1	yes	characteristic
777	#95	C₂²×C₄	1	1	yes	characteristic
778	#95	C₂²×C₄	1	1	yes	characteristic
779	#95	C₂²×C₄	1	1	yes	characteristic
780	#95	C₂²×C₄	1	1	yes	characteristic
781	#95	C₂²×C₄	1	1	yes	characteristic
782	#95	C₂²×C₄	1	1	yes	characteristic
783	#95	C₂²×C₄	1	1	yes	characteristic
784	#95	C₂²×C₄	1	1	yes	characteristic
785	#95	C₂²×C₄	1	1	yes	characteristic
786	#95	C₂²×C₄	1	1	yes	characteristic
787	#95	C₂²×C₄	1	1	yes	characteristic
788	#95	C₂²×C₄	1	1	yes	characteristic
789	#95	C₂²×C₄	1	1	yes	characteristic
790	#95	C₂²×C₄	1	1	yes	characteristic
791	#95	C₂²×C₄	1	1	yes	characteristic
792	#95	C₂²×C₄	1	1	yes	characteristic
793	#95	C₂²×C₄	1	1	yes	characteristic
794	#95	C₂²×C₄	1	1	yes	characteristic
795	#95	C₂²×C₄	1	1	yes	characteristic
796	#95	C₂²×C₄	1	1	yes	characteristic
797	#95	C₂²×C₄	1	1	yes	characteristic
798	#95	C₂²×C₄	1	1	yes	characteristic
799	C₂⁴	C₂³×C₄	1	1	yes	characteristic
800	C₂⁴	C₂³×C₄	1	1	yes	characteristic
801	C₂⁴	C₂³×C₄	1	1	yes	characteristic
802	C₂⁴	C₂³×C₄	1	1	yes	characteristic
803	C₂×D₄	—	2	2	no	—
804	C₂×D₄	—	2	2	no	—
805	C₂×D₄	—	2	2	no	—
806	C₂×D₄	—	2	2	no	—
807	C₂×D₄	—	4	1	no	—
808	C₂×D₄	—	4	1	no	—
809	C₂×D₄	—	4	1	no	—
810	C₂×D₄	—	4	1	no	—
811	C₂×D₄	—	4	1	no	—
812	C₂×D₄	—	4	1	no	—
813	C₂×D₄	—	4	1	no	—
814	C₂×D₄	—	4	1	no	—
815	C₂×D₄	—	4	1	no	—
816	C₂×D₄	—	4	1	no	—
817	C₂×D₄	—	4	1	no	—
818	C₂×D₄	C₂×M₁₆	1	4	yes	—
819	C₂×D₄	C₂×M₁₆	1	4	yes	—
820	C₂×D₄	C₂×M₁₆	1	4	yes	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	2	no	—
823	C₂²×C₄	—	2	2	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	1	no	—
830	C₂²×C₄	—	2	1	no	—
831	C₂²×C₄	—	2	1	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	1	no	—
846	C₂²×C₄	—	2	1	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	4	1	no	—
859	C₂²×C₄	—	4	1	no	—
860	C₂²×C₄	—	4	1	no	—
861	C₂²×C₄	—	4	1	no	—
862	C₂²×C₄	—	4	1	no	—
863	C₂²×C₄	—	4	1	no	—
864	C₂²×C₄	—	4	1	no	—
865	C₂²×C₄	—	4	1	no	—
866	C₂²×C₄	—	4	1	no	—
867	C₂²×C₄	—	4	1	no	—
868	C₂²×C₄	—	4	1	no	—
869	C₂²×C₄	—	4	1	no	—
870	C₂²×C₄	—	4	1	no	—
871	C₂²×C₄	—	4	1	no	—
872	C₂²×C₄	—	4	1	no	—
873	C₂²×C₄	—	4	1	no	—
874	C₂²×C₄	—	4	1	no	—
875	C₂²×C₄	—	4	1	no	—
876	C₂²×C₄	—	4	1	no	—
877	C₂²×C₄	—	4	1	no	—
878	C₂²×C₄	—	4	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	C₂×M₁₆	1	4	yes	—
881	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
882	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
883	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
884	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
885	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
886	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
887	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
888	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
889	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
890	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
891	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
892	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
893	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
894	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
895	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
896	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
897	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
898	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
899	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
900	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
901	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
902	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
903	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
904	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
905	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
906	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
907	C₂²×C₄	C₂⁵	1	1	yes	characteristic
908	M₁₆	—	8	2	no	—
909	M₁₆	—	8	2	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	—	2	1	no	—
912	C₂×C₈	—	2	1	no	—
913	C₂×C₈	—	2	1	no	—
914	C₂×C₈	—	2	1	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₂×C₈	—	2	1	no	—
918	C₂×C₈	—	2	1	no	—
919	C₂×C₈	—	2	1	no	—
920	C₂×C₈	—	2	1	no	—
921	C₂×C₈	—	2	1	no	—
922	C₂×C₈	—	2	1	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	2	1	no	—
946	C₂×C₈	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	4	4	no	—
954	C₂×C₈	—	4	4	no	—
955	C₂×C₈	—	8	2	no	—
956	C₂×C₈	—	8	2	no	—
957	C₂×C₈	C₂×#41	1	2	yes	—
958	C₂×C₈	C₂×#41	1	2	yes	—
959	C₂×C₈	C₂×#41	1	2	yes	—
960	C₂×C₈	C₂×#41	1	2	yes	—
961	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	4	1	no	—
977	C₄⋊C₄	—	4	1	no	—
978	C₄⋊C₄	—	4	1	no	—
979	C₄⋊C₄	—	4	1	no	—
980	C₄⋊C₄	—	4	1	no	—
981	C₄⋊C₄	—	4	1	no	—
982	C₄⋊C₄	—	4	1	no	—
983	C₄⋊C₄	—	4	1	no	—
984	C₄⋊C₄	—	4	1	no	—
985	C₄⋊C₄	—	4	1	no	—
986	C₄⋊C₄	—	4	1	no	—
987	C₄⋊C₄	C₂×M₁₆	1	4	yes	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	4	1	no	—
1003	C₂²⋊C₄	—	4	1	no	—
1004	C₂²⋊C₄	—	4	1	no	—
1005	C₂²⋊C₄	—	4	1	no	—
1006	C₂²⋊C₄	—	4	1	no	—
1007	C₂²⋊C₄	—	4	1	no	—
1008	C₂²⋊C₄	—	4	1	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	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	—	4	1	no	—
1016	C₂²⋊C₄	—	4	1	no	—
1017	C₂²⋊C₄	—	4	1	no	—
1018	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1019	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	2	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	—	2	2	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	1	no	—
1049	C₄²	—	4	1	no	—
1050	C₄²	—	4	1	no	—
1051	C₄²	—	4	1	no	—
1052	C₄²	—	4	1	no	—
1053	C₄²	—	4	1	no	—
1054	C₄²	—	4	1	no	—
1055	C₄²	—	4	1	no	—
1056	C₄²	—	4	1	no	—
1057	C₄²	—	4	1	no	—
1058	C₄²	—	4	1	no	—
1059	C₄²	—	4	1	no	—
1060	C₄²	—	4	1	no	—
1061	C₄²	—	4	1	no	—
1062	C₄²	—	4	1	no	—
1063	C₄²	—	4	1	no	—
1064	C₄²	C₂×#41	1	2	yes	—
1065	C₄²	C₂×#41	1	2	yes	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	C₂²×M₁₆	1	2	yes	—
1092	C₂³	C₂²×M₁₆	1	2	yes	—
1093	C₂³	C₂²×M₁₆	1	2	yes	—
1094	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1095	D₄	—	4	4	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	4	no	—
1100	D₄	—	8	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	4	4	no	—
1172	C₂×C₄	—	4	4	no	—
1173	C₂×C₄	—	4	4	no	—
1174	C₂×C₄	—	4	4	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	8	2	no	—
1192	C₂×C₄	—	8	2	no	—
1193	C₂×C₄	—	8	2	no	—
1194	C₂×C₄	—	8	2	no	—
1195	C₂×C₄	—	8	2	no	—
1196	C₂×C₄	—	8	2	no	—
1197	C₂×C₄	—	8	2	no	—
1198	C₂×C₄	—	8	2	no	—
1199	C₂×C₄	C₄×#41	1	2	yes	—
1200	C₂×C₄	C₄×#41	1	2	yes	—
1201	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1202	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1203	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1204	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1205	C₂×C₄	#568	1	2	yes	—
1206	C₂×C₄	#568	1	2	yes	—
1207	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1208	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1209	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1210	C₂×C₄	#585	1	1	yes	characteristic
1211	C₂×C₄	#585	1	1	yes	characteristic
1212	C₂×C₄	#585	1	1	yes	characteristic
1213	C₈	—	2	2	no	—
1214	C₈	—	2	2	no	—
1215	C₈	—	2	2	no	—
1216	C₈	—	2	2	no	—
1217	C₈	—	2	2	no	—
1218	C₈	—	4	1	no	—
1219	C₈	—	4	1	no	—
1220	C₈	—	4	1	no	—
1221	C₈	—	4	1	no	—
1222	C₈	—	4	1	no	—
1223	C₈	—	4	1	no	—
1224	C₈	—	4	1	no	—
1225	C₈	—	4	1	no	—
1226	C₈	—	4	1	no	—
1227	C₈	—	4	1	no	—
1228	C₈	—	4	1	no	—
1229	C₂²	—	2	2	no	—
1230	C₂²	—	2	2	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	2	2	no	—
1234	C₂²	—	2	2	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	4	1	no	—
1247	C₂²	—	4	1	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	4	1	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1258	C₂²	#3428	1	1	yes	characteristic
1259	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1260	C₂²	C₂³×M₁₆	1	1	yes	characteristic
1261	C₂²	C₂×#568	1	1	yes	characteristic
1262	C₂²	C₂×#568	1	1	yes	characteristic
1263	C₂²	#3573	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	#3493	1	1	yes	characteristic
1291	C₄	#3494	1	1	yes	characteristic
1292	C₄	#3517	1	1	yes	characteristic
1293	C₄	#3521	1	1	yes	characteristic
1294	C₂	—	4	2	no	—
1295	C₂	—	4	2	no	—
1296	C₂	—	4	2	no	—
1297	C₂	—	8	1	no	—
1298	C₂	#34301	1	1	yes	characteristic
1299	C₂	M₁₆×#41	1	1	yes	characteristic
1300	C₂	#60217	1	1	yes	characteristic
1301	C₂	#60282	1	1	yes	characteristic
1302	C₂	#60302	1	1	yes	characteristic
1303	C₂	#60309	1	1	yes	characteristic
1304	C₂	#60314	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#553	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #23290	C₂	semidirect
3. #23288	C₂	semidirect
4. #23255	C₂	semidirect
5. #23086	C₂	semidirect
6. #23086	C₂	semidirect
7. #23086	C₂	semidirect
8. #23083	C₂	semidirect
9. #22908	C₂	semidirect
10. #22904	C₂	semidirect
11. #22799	C₂	semidirect
12. #22797	C₂	semidirect
13. #22788	C₂	semidirect
14. #22787	C₂	semidirect
15. #22641	C₂	semidirect
16. #22601	C₂	semidirect
17. #22367	C₂	semidirect
18. #22361	C₂	semidirect
19. #22335	C₂	semidirect
20. #22329	C₂	semidirect
21. #22305	C₂	semidirect
22. #22143	C₂	semidirect
23. #21667	C₂	semidirect
24. #21665	C₂	semidirect
25. #21489	C₂	semidirect
26. #21270	C₂	semidirect
27. #21265	C₂	semidirect
28. #21107	C₂	semidirect
29. #20559	C₂	semidirect
30. #20534	C₂	semidirect
31. #20479	C₂	semidirect
555. #121	M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₄×#553	2
#23290	2
#23288	2
#23255	2
#23086	2
#23083	2
#22908	2
#22904	2
#22799	2
#22797	2
#22788	2
#22787	2
#22641	2
#22601	2
#22367	2
#22361	2
#22335	2
#22329	2
#22305	2
#22143	2
#21667	2
#21665	2
#21489	2
#21270	2
#21265	2
#21107	2
#20559	2
#20534	2
#20479	2