Subgroups — #6422090

Order 512.

2276 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×D₄²	C₂	1	1	yes	maximal, characteristic
2	#23356	C₂	1	1	yes	maximal, characteristic, complemented
3	#23329	C₂	1	1	yes	maximal, characteristic, complemented
4	#23326	C₂	1	1	yes	maximal, characteristic, complemented
5	#23307	C₂	1	1	yes	maximal, characteristic, complemented
6	#23121	C₂	1	1	yes	maximal, characteristic, complemented
7	#23118	C₂	1	1	yes	maximal, characteristic, complemented
8	#22852	C₂	1	1	yes	maximal, characteristic, complemented
9	#22850	C₂	1	1	yes	maximal, characteristic, complemented
10	#22848	C₂	1	1	yes	maximal, characteristic, complemented
11	#22788	C₂	1	1	yes	maximal, characteristic, complemented
12	#22788	C₂	1	1	yes	maximal, characteristic, complemented
13	#22401	C₂	1	1	yes	maximal, characteristic, complemented
14	#22401	C₂	1	1	yes	maximal, characteristic, complemented
15	#22401	C₂	1	1	yes	maximal, characteristic, complemented
16	#22399	C₂	1	1	yes	maximal, characteristic, complemented
17	#22333	C₂	1	1	yes	maximal, characteristic, complemented
18	#22329	C₂	1	1	yes	maximal, characteristic, complemented
19	#22266	C₂	1	1	yes	maximal, characteristic, complemented
20	#22178	C₂	1	1	yes	maximal, characteristic, complemented
21	#22174	C₂	1	1	yes	maximal, characteristic, complemented
22	#22038	C₂	1	1	yes	maximal, characteristic, complemented
23	#22036	C₂	1	1	yes	maximal, characteristic, complemented
24	#22036	C₂	1	1	yes	maximal, characteristic, complemented
25	#22002	C₂	1	1	yes	maximal, characteristic, complemented
26	#21998	C₂	1	1	yes	maximal, characteristic, complemented
27	#21742	C₂	1	1	yes	maximal, characteristic, complemented
28	#21740	C₂	1	1	yes	maximal, characteristic, complemented
29	#21441	C₂	1	1	yes	maximal, characteristic, complemented
30	#20898	C₂	1	1	yes	maximal, characteristic, complemented
31	#20898	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×M₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₂×D₄²	C₄	1	1	yes	characteristic
34	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
35	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
36	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂×#436	C₂²	1	1	yes	characteristic, complemented
39	C₂×#436	C₂²	1	1	yes	characteristic, complemented
40	C₂×#436	C₂²	1	1	yes	characteristic, complemented
41	C₂×#436	C₂²	1	1	yes	characteristic, complemented
42	C₂×#436	C₂²	1	1	yes	characteristic, complemented
43	C₂×#436	C₂²	1	1	yes	characteristic, complemented
44	C₂×#435	C₂²	1	1	yes	characteristic, complemented
45	C₂×#435	C₂²	1	1	yes	characteristic, complemented
46	C₂×#435	C₂²	1	1	yes	characteristic, complemented
47	C₂×#435	C₂²	1	1	yes	characteristic, complemented
48	C₂×#407	C₂²	1	1	yes	characteristic, complemented
49	C₂×#407	C₂²	1	1	yes	characteristic, complemented
50	C₂×#407	C₂²	1	1	yes	characteristic, complemented
51	C₂×#407	C₂²	1	1	yes	characteristic, complemented
52	C₂×#407	C₂²	1	1	yes	characteristic, complemented
53	C₂×#407	C₂²	1	1	yes	characteristic, complemented
54	C₂×#407	C₂²	1	1	yes	characteristic, complemented
55	C₂×#407	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
57	#2366	C₄	1	1	yes	characteristic
58	#2361	C₄	1	1	yes	characteristic
59	#2361	C₄	1	1	yes	characteristic
60	#2361	C₄	1	1	yes	characteristic
61	#2361	C₄	1	1	yes	characteristic
62	#2358	C₄	1	1	yes	characteristic
63	#2358	C₄	1	1	yes	characteristic
64	#2358	C₄	1	1	yes	characteristic
65	#2358	C₄	1	1	yes	characteristic
66	D₄×C₄⋊C₄	C₄	1	1	yes	characteristic
67	D₄×C₄⋊C₄	C₄	1	1	yes	characteristic
68	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
69	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
70	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
71	D₄×C₂²⋊C₄	C₄	1	1	yes	characteristic
72	C₄×#127	C₂²	1	1	yes	characteristic
73	C₄×#121	C₂²	1	1	yes	characteristic
74	C₄×#121	C₂²	1	1	yes	characteristic
75	C₄×#121	C₂²	1	1	yes	characteristic
76	C₄×#121	C₂²	1	1	yes	characteristic
77	C₄×#120	C₂²	1	1	yes	characteristic
78	C₄×#120	C₂²	1	1	yes	characteristic
79	C₄×#120	C₂²	1	1	yes	characteristic
80	C₄×#120	C₂²	1	1	yes	characteristic
81	C₄²×D₄	C₂²	1	1	yes	characteristic
82	C₄²×D₄	C₂²	1	1	yes	characteristic
83	#1955	C₂²	1	1	yes	characteristic, complemented
84	#1955	C₂²	1	1	yes	characteristic, complemented
85	#1955	C₂²	1	1	yes	characteristic, complemented
86	#1955	C₂²	1	1	yes	characteristic, complemented
87	#1954	C₂²	1	1	yes	characteristic, complemented
88	#1954	C₂²	1	1	yes	characteristic, complemented
89	#1954	C₂²	1	1	yes	characteristic, complemented
90	#1954	C₂²	1	1	yes	characteristic, complemented
91	#1954	C₂²	1	1	yes	characteristic, complemented
92	#1954	C₂²	1	1	yes	characteristic, complemented
93	#1924	C₂²	1	1	yes	characteristic, complemented
94	#1924	C₂²	1	1	yes	characteristic, complemented
95	#1924	C₂²	1	1	yes	characteristic, complemented
96	#1924	C₂²	1	1	yes	characteristic, complemented
97	#1924	C₂²	1	1	yes	characteristic, complemented
98	#1924	C₂²	1	1	yes	characteristic, complemented
99	#1924	C₂²	1	1	yes	characteristic, complemented
100	#1924	C₂²	1	1	yes	characteristic, complemented
101	#1923	C₂²	1	1	yes	characteristic, complemented
102	#1923	C₂²	1	1	yes	characteristic, complemented
103	#1923	C₂²	1	1	yes	characteristic, complemented
104	#1923	C₂²	1	1	yes	characteristic, complemented
105	#1923	C₂²	1	1	yes	characteristic, complemented
106	#1923	C₂²	1	1	yes	characteristic, complemented
107	#1923	C₂²	1	1	yes	characteristic, complemented
108	#1923	C₂²	1	1	yes	characteristic, complemented
109	#1917	C₂²	1	1	yes	characteristic, complemented
110	#1917	C₂²	1	1	yes	characteristic, complemented
111	#1916	C₂²	1	1	yes	characteristic, complemented
112	#1916	C₂²	1	1	yes	characteristic, complemented
113	#1916	C₂²	1	1	yes	characteristic, complemented
114	#1916	C₂²	1	1	yes	characteristic, complemented
115	#1916	C₂²	1	1	yes	characteristic, complemented
116	#1916	C₂²	1	1	yes	characteristic, complemented
117	#1870	C₂²	1	1	yes	characteristic
118	#1870	C₂²	1	1	yes	characteristic
119	#1870	C₂²	1	1	yes	characteristic
120	#1870	C₂²	1	1	yes	characteristic
121	#1870	C₂²	1	1	yes	characteristic
122	#1870	C₂²	1	1	yes	characteristic
123	#1870	C₂²	1	1	yes	characteristic
124	#1870	C₂²	1	1	yes	characteristic
125	#1870	C₂²	1	1	yes	characteristic, complemented
126	#1870	C₂²	1	1	yes	characteristic, complemented
127	#1870	C₂²	1	1	yes	characteristic, complemented
128	#1870	C₂²	1	1	yes	characteristic, complemented
129	#1870	C₂²	1	1	yes	characteristic, complemented
130	#1870	C₂²	1	1	yes	characteristic, complemented
131	#1870	C₂²	1	1	yes	characteristic, complemented
132	#1870	C₂²	1	1	yes	characteristic, complemented
133	#1870	C₂²	1	1	yes	characteristic, complemented
134	#1870	C₂²	1	1	yes	characteristic, complemented
135	#1870	C₂²	1	1	yes	characteristic, complemented
136	#1870	C₂²	1	1	yes	characteristic, complemented
137	#1870	C₂²	1	1	yes	characteristic, complemented
138	#1870	C₂²	1	1	yes	characteristic, complemented
139	#1870	C₂²	1	1	yes	characteristic, complemented
140	#1870	C₂²	1	1	yes	characteristic, complemented
141	#1870	C₂²	1	1	yes	characteristic, complemented
142	#1870	C₂²	1	1	yes	characteristic, complemented
143	#1870	C₂²	1	1	yes	characteristic, complemented
144	#1870	C₂²	1	1	yes	characteristic, complemented
145	#1869	C₂²	1	1	yes	characteristic, complemented
146	#1869	C₂²	1	1	yes	characteristic, complemented
147	#1869	C₂²	1	1	yes	characteristic, complemented
148	#1869	C₂²	1	1	yes	characteristic, complemented
149	#1869	C₂²	1	1	yes	characteristic, complemented
150	#1869	C₂²	1	1	yes	characteristic, complemented
151	#1869	C₂²	1	1	yes	characteristic, complemented
152	#1869	C₂²	1	1	yes	characteristic, complemented
153	#1869	C₂²	1	1	yes	characteristic, complemented
154	#1869	C₂²	1	1	yes	characteristic, complemented
155	#1869	C₂²	1	1	yes	characteristic, complemented
156	#1869	C₂²	1	1	yes	characteristic, complemented
157	#1869	C₂²	1	1	yes	characteristic, complemented
158	#1869	C₂²	1	1	yes	characteristic, complemented
159	#1869	C₂²	1	1	yes	characteristic, complemented
160	#1869	C₂²	1	1	yes	characteristic, complemented
161	#1851	C₂²	1	1	yes	characteristic, complemented
162	#1851	C₂²	1	1	yes	characteristic, complemented
163	#1851	C₂²	1	1	yes	characteristic, complemented
164	#1851	C₂²	1	1	yes	characteristic, complemented
165	#1851	C₂²	1	1	yes	characteristic, complemented
166	#1851	C₂²	1	1	yes	characteristic, complemented
167	#1850	C₂²	1	1	yes	characteristic, complemented
168	#1850	C₂²	1	1	yes	characteristic, complemented
169	#1839	C₂²	1	1	yes	characteristic, complemented
170	#1839	C₂²	1	1	yes	characteristic, complemented
171	#1831	C₂²	1	1	yes	characteristic, complemented
172	#1817	C₂²	1	1	yes	characteristic, complemented
173	#1817	C₂²	1	1	yes	characteristic, complemented
174	#1817	C₂²	1	1	yes	characteristic, complemented
175	#1817	C₂²	1	1	yes	characteristic, complemented
176	#1797	C₂²	1	1	yes	characteristic, complemented
177	#1797	C₂²	1	1	yes	characteristic, complemented
178	#1797	C₂²	1	1	yes	characteristic, complemented
179	#1797	C₂²	1	1	yes	characteristic, complemented
180	#1779	C₂²	1	1	yes	characteristic, complemented
181	#1779	C₂²	1	1	yes	characteristic, complemented
182	#1779	C₂²	1	1	yes	characteristic, complemented
183	#1779	C₂²	1	1	yes	characteristic, complemented
184	#1779	C₂²	1	1	yes	characteristic, complemented
185	#1779	C₂²	1	1	yes	characteristic, complemented
186	#1753	C₂²	1	1	yes	characteristic, complemented
187	#1753	C₂²	1	1	yes	characteristic, complemented
188	#1753	C₂²	1	1	yes	characteristic, complemented
189	#1753	C₂²	1	1	yes	characteristic, complemented
190	#1753	C₂²	1	1	yes	characteristic, complemented
191	#1753	C₂²	1	1	yes	characteristic, complemented
192	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
194	#1749	C₂²	1	1	yes	characteristic, complemented
195	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
196	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#1745	C₂²	1	1	yes	characteristic, complemented
199	#1728	C₂²	1	1	yes	characteristic, complemented
200	#1728	C₂²	1	1	yes	characteristic, complemented
201	#1728	C₂²	1	1	yes	characteristic, complemented
202	#1728	C₂²	1	1	yes	characteristic, complemented
203	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
204	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
205	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
206	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
207	C₂⁴×C₄	C₂³	1	1	yes	characteristic
208	C₂⁴×C₄	C₂³	1	1	yes	characteristic
209	C₂⁴×C₄	C₂³	1	1	yes	characteristic
210	C₂⁴×C₄	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	—	4	2	no	—
212	C₂²×M₁₆	—	4	2	no	—
213	C₂²×M₁₆	—	4	2	no	—
214	C₂²×M₁₆	C₂³	1	1	yes	characteristic
215	C₂²×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×M₁₆	C₂³	1	1	yes	characteristic
218	C₂²×M₁₆	C₂³	1	1	yes	characteristic
219	C₂²×M₁₆	C₂³	1	1	yes	characteristic
220	C₂²×M₁₆	C₂³	1	1	yes	characteristic
221	C₂²×M₁₆	C₂³	1	1	yes	characteristic
222	C₂²×M₁₆	C₂³	1	1	yes	characteristic
223	C₂²×M₁₆	C₂³	1	1	yes	characteristic
224	C₂²×M₁₆	C₂³	1	1	yes	characteristic
225	C₂²×M₁₆	C₂³	1	1	yes	characteristic
226	C₂³×C₈	C₂³	1	1	yes	characteristic
227	C₂³×C₈	C₂³	1	1	yes	characteristic
228	C₂³×C₈	C₂³	1	1	yes	characteristic
229	C₂³×C₈	C₂³	1	1	yes	characteristic
230	D₄²	—	2	8	no	—
231	C₂×#127	C₂×C₄	1	1	yes	characteristic
232	C₂×#121	C₂×C₄	1	1	yes	characteristic
233	C₂×#121	C₂×C₄	1	1	yes	characteristic
234	C₂×#121	C₂×C₄	1	1	yes	characteristic
235	C₂×#121	C₂×C₄	1	1	yes	characteristic
236	C₂×#120	C₂×C₄	1	1	yes	characteristic
237	C₂×#120	C₂×C₄	1	1	yes	characteristic
238	C₂×#120	C₂×C₄	1	1	yes	characteristic
239	C₂×#120	C₂×C₄	1	1	yes	characteristic
240	C₂×C₄×D₄	—	4	2	no	—
241	C₂×C₄×D₄	—	4	2	no	—
242	C₂×C₄×D₄	—	4	2	no	—
243	C₂×C₄×D₄	—	4	2	no	—
244	C₂×C₄×D₄	—	4	2	no	—
245	C₂×C₄×D₄	—	4	2	no	—
246	C₂×C₄×D₄	—	4	2	no	—
247	C₂×C₄×D₄	—	4	2	no	—
248	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
249	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
250	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
251	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
252	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
253	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
254	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
255	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
256	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
258	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
259	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
260	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
262	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
263	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
264	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
265	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
266	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
272	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
276	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
277	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
278	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
279	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
280	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
281	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
282	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
283	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
284	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
285	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
286	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
287	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
291	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
292	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
293	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂²×C₄²	C₂³	1	1	yes	characteristic
297	C₂²×C₄²	C₂³	1	1	yes	characteristic
298	C₂²×C₄²	C₂³	1	1	yes	characteristic
299	C₂²×C₄²	C₂³	1	1	yes	characteristic
300	#436	—	4	2	no	—
301	#436	—	4	2	no	—
302	#436	—	4	2	no	—
303	#436	—	4	2	no	—
304	#436	—	4	2	no	—
305	#436	—	4	2	no	—
306	#435	—	4	2	no	—
307	#435	—	4	2	no	—
308	#435	—	4	2	no	—
309	#435	—	4	2	no	—
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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	#407	—	4	2	no	—
321	#407	—	4	2	no	—
322	#407	—	4	2	no	—
323	#407	—	4	2	no	—
324	#407	—	4	2	no	—
325	#407	—	4	2	no	—
326	#407	—	4	2	no	—
327	#407	—	4	2	no	—
328	C₂×C₂²⋊C₈	—	4	2	no	—
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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
377	C₂×#97	C₂³	1	1	yes	characteristic
378	C₂×#97	C₂³	1	1	yes	characteristic
379	C₂×#97	C₂³	1	1	yes	characteristic
380	C₂×#97	C₂³	1	1	yes	characteristic
381	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
382	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
383	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
384	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
385	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
386	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
387	#390	C₂×C₄	1	1	yes	characteristic
388	#390	C₂×C₄	1	1	yes	characteristic
389	#390	C₂×C₄	1	1	yes	characteristic
390	#390	C₂×C₄	1	1	yes	characteristic
391	#390	C₂×C₄	1	1	yes	characteristic
392	#390	C₂×C₄	1	1	yes	characteristic
393	#390	C₂×C₄	1	1	yes	characteristic
394	#390	C₂×C₄	1	1	yes	characteristic
395	#390	C₂×C₄	1	1	yes	characteristic
396	#390	C₂×C₄	1	1	yes	characteristic
397	#389	C₂×C₄	1	1	yes	characteristic
398	#389	C₂×C₄	1	1	yes	characteristic
399	#389	C₂×C₄	1	1	yes	characteristic
400	#389	C₂×C₄	1	1	yes	characteristic
401	#388	C₂×C₄	1	1	yes	characteristic
402	#388	C₂×C₄	1	1	yes	characteristic
403	#388	C₂×C₄	1	1	yes	characteristic
404	#388	C₂×C₄	1	1	yes	characteristic
405	#388	C₂×C₄	1	1	yes	characteristic
406	#388	C₂×C₄	1	1	yes	characteristic
407	#388	C₂×C₄	1	1	yes	characteristic
408	#388	C₂×C₄	1	1	yes	characteristic
409	#386	C₂×C₄	1	1	yes	characteristic
410	#386	C₂×C₄	1	1	yes	characteristic
411	#386	C₂×C₄	1	1	yes	characteristic
412	#386	C₂×C₄	1	1	yes	characteristic
413	#386	C₂×C₄	1	1	yes	characteristic
414	#386	C₂×C₄	1	1	yes	characteristic
415	#386	C₂×C₄	1	1	yes	characteristic
416	#386	C₂×C₄	1	1	yes	characteristic
417	#386	C₂×C₄	1	1	yes	characteristic
418	#386	C₂×C₄	1	1	yes	characteristic
419	#386	C₂×C₄	1	1	yes	characteristic
420	#386	C₂×C₄	1	1	yes	characteristic
421	#386	C₂×C₄	1	1	yes	characteristic
422	#386	C₂×C₄	1	1	yes	characteristic
423	#386	C₂×C₄	1	1	yes	characteristic
424	#386	C₂×C₄	1	1	yes	characteristic
425	#386	C₂×C₄	1	1	yes	characteristic
426	#386	C₂×C₄	1	1	yes	characteristic
427	#386	C₂×C₄	1	1	yes	characteristic
428	#386	C₂×C₄	1	1	yes	characteristic
429	#385	C₂×C₄	1	1	yes	characteristic
430	#385	C₂×C₄	1	1	yes	characteristic
431	#385	C₂×C₄	1	1	yes	characteristic
432	#385	C₂×C₄	1	1	yes	characteristic
433	#385	C₂×C₄	1	1	yes	characteristic
434	#385	C₂×C₄	1	1	yes	characteristic
435	#385	C₂×C₄	1	1	yes	characteristic
436	#385	C₂×C₄	1	1	yes	characteristic
437	#385	C₂×C₄	1	1	yes	characteristic
438	#385	C₂×C₄	1	1	yes	characteristic
439	#385	C₂×C₄	1	1	yes	characteristic
440	#385	C₂×C₄	1	1	yes	characteristic
441	#384	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	C₂³	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
457	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
458	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
459	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
460	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
461	C₄×C₂²⋊C₄	C₂×C₄	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	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
472	C₄³	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
510	C₂⁵	C₂²×C₄	1	1	yes	characteristic
511	C₂⁵	C₂²×C₄	1	1	yes	characteristic
512	C₂⁵	C₂²×C₄	1	1	yes	characteristic
513	C₂²×D₄	—	2	4	no	—
514	C₂²×D₄	—	2	4	no	—
515	C₂²×D₄	—	2	4	no	—
516	C₂²×D₄	—	2	4	no	—
517	C₂²×D₄	—	4	2	no	—
518	C₂²×D₄	—	4	2	no	—
519	C₂²×D₄	—	4	2	no	—
520	C₂²×D₄	—	4	2	no	—
521	C₂²×D₄	—	4	2	no	—
522	C₂²×D₄	—	4	2	no	—
523	C₂²×D₄	—	4	2	no	—
524	C₂²×D₄	—	4	2	no	—
525	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
527	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
528	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
529	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
530	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
531	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
532	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
533	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
534	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
535	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
536	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
537	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
538	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
539	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
540	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
541	C₂³×C₄	—	2	2	no	—
542	C₂³×C₄	—	2	2	no	—
543	C₂³×C₄	—	2	2	no	—
544	C₂³×C₄	—	2	2	no	—
545	C₂³×C₄	—	2	2	no	—
546	C₂³×C₄	—	2	2	no	—
547	C₂³×C₄	—	2	2	no	—
548	C₂³×C₄	—	2	2	no	—
549	C₂³×C₄	—	4	1	no	—
550	C₂³×C₄	—	4	1	no	—
551	C₂³×C₄	—	4	1	no	—
552	C₂³×C₄	—	4	1	no	—
553	C₂³×C₄	—	4	1	no	—
554	C₂³×C₄	—	4	1	no	—
555	C₂³×C₄	—	4	1	no	—
556	C₂³×C₄	—	4	1	no	—
557	C₂³×C₄	—	4	1	no	—
558	C₂³×C₄	—	4	1	no	—
559	C₂³×C₄	—	4	1	no	—
560	C₂³×C₄	—	4	1	no	—
561	C₂³×C₄	—	4	1	no	—
562	C₂³×C₄	—	4	1	no	—
563	C₂³×C₄	—	4	1	no	—
564	C₂³×C₄	—	4	1	no	—
565	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
566	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
567	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
568	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
569	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
570	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
571	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
572	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
573	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂³×C₄	C₂⁴	1	1	yes	characteristic
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₂³×C₄	C₂⁴	1	1	yes	characteristic
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄	C₂⁴	1	1	yes	characteristic
593	C₂×M₁₆	—	2	2	no	—
594	C₂×M₁₆	—	2	2	no	—
595	C₂×M₁₆	—	2	2	no	—
596	C₂×M₁₆	—	2	2	no	—
597	C₂×M₁₆	—	2	2	no	—
598	C₂×M₁₆	—	2	2	no	—
599	C₂×M₁₆	—	2	2	no	—
600	C₂×M₁₆	—	2	2	no	—
601	C₂×M₁₆	—	2	2	no	—
602	C₂×M₁₆	—	2	2	no	—
603	C₂×M₁₆	—	2	2	no	—
604	C₂×M₁₆	—	4	1	no	—
605	C₂×M₁₆	—	4	1	no	—
606	C₂×M₁₆	—	4	1	no	—
607	C₂×M₁₆	—	4	1	no	—
608	C₂×M₁₆	—	4	1	no	—
609	C₂×M₁₆	—	4	1	no	—
610	C₂×M₁₆	—	4	1	no	—
611	C₂×M₁₆	—	4	1	no	—
612	C₂×M₁₆	—	4	1	no	—
613	C₂×M₁₆	—	4	1	no	—
614	C₂×M₁₆	—	4	1	no	—
615	C₂×M₁₆	—	4	1	no	—
616	C₂×M₁₆	—	4	1	no	—
617	C₂×M₁₆	—	4	1	no	—
618	C₂×M₁₆	—	4	1	no	—
619	C₂×M₁₆	—	4	1	no	—
620	C₂×M₁₆	—	4	1	no	—
621	C₂×M₁₆	—	4	1	no	—
622	C₂×M₁₆	—	4	1	no	—
623	C₂×M₁₆	—	4	1	no	—
624	C₂×M₁₆	—	4	1	no	—
625	C₂×M₁₆	—	4	1	no	—
626	C₂×M₁₆	—	4	1	no	—
627	C₂×M₁₆	—	4	1	no	—
628	C₂×M₁₆	—	4	1	no	—
629	C₂×M₁₆	—	4	16	no	—
630	C₂²×C₈	—	2	2	no	—
631	C₂²×C₈	—	4	1	no	—
632	C₂²×C₈	—	4	1	no	—
633	C₂²×C₈	—	4	1	no	—
634	C₂²×C₈	—	4	1	no	—
635	C₂²×C₈	—	4	1	no	—
636	C₂²×C₈	—	4	1	no	—
637	C₂²×C₈	—	4	1	no	—
638	C₂²×C₈	—	4	1	no	—
639	C₂²×C₈	—	4	1	no	—
640	C₂²×C₈	—	4	1	no	—
641	C₂²×C₈	—	4	1	no	—
642	C₂²×C₈	C₂⁴	1	1	yes	characteristic
643	C₂²×C₈	C₂⁴	1	1	yes	characteristic
644	C₂²×C₈	C₂⁴	1	1	yes	characteristic
645	C₂²×C₈	C₂⁴	1	1	yes	characteristic
646	C₂²×C₈	C₂⁴	1	1	yes	characteristic
647	C₂²×C₈	C₂⁴	1	1	yes	characteristic
648	C₂²×C₈	C₂⁴	1	1	yes	characteristic
649	C₂²×C₈	C₂⁴	1	1	yes	characteristic
650	C₂²×C₈	C₂⁴	1	1	yes	characteristic
651	C₂²×C₈	C₂⁴	1	1	yes	characteristic
652	C₂²×C₈	C₂⁴	1	1	yes	characteristic
653	C₂²×C₈	C₂⁴	1	1	yes	characteristic
654	C₂²×C₈	C₂⁴	1	1	yes	characteristic
655	C₂²×C₈	C₂⁴	1	1	yes	characteristic
656	C₂²×C₈	C₂⁴	1	1	yes	characteristic
657	C₂²×C₈	C₂⁴	1	1	yes	characteristic
658	#127	—	2	4	no	—
659	#121	—	2	4	no	—
660	#121	—	2	4	no	—
661	#121	—	2	4	no	—
662	#121	M₁₆	1	8	yes	complemented
663	#120	—	2	4	no	—
664	#120	—	2	4	no	—
665	#120	—	2	4	no	—
666	#120	—	2	4	no	—
667	C₄×D₄	—	2	4	no	—
668	C₄×D₄	—	2	2	no	—
669	C₄×D₄	—	2	2	no	—
670	C₄×D₄	—	2	2	no	—
671	C₄×D₄	—	2	2	no	—
672	C₄×D₄	—	2	2	no	—
673	C₄×D₄	—	2	2	no	—
674	C₄×D₄	—	2	2	no	—
675	C₄×D₄	—	2	2	no	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	2	no	—
678	C₄×D₄	—	2	2	no	—
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	4	no	—
681	C₄×D₄	—	4	2	no	—
682	C₄×D₄	—	4	1	no	—
683	C₄×D₄	—	4	1	no	—
684	C₄×D₄	—	4	1	no	—
685	C₄×D₄	—	4	1	no	—
686	C₄×D₄	—	4	1	no	—
687	C₄×D₄	—	4	1	no	—
688	C₄×D₄	—	4	1	no	—
689	C₄×D₄	—	4	1	no	—
690	C₄×D₄	—	4	1	no	—
691	C₄×D₄	—	4	1	no	—
692	C₄×D₄	—	4	1	no	—
693	C₄×D₄	—	4	1	no	—
694	C₄×D₄	—	4	1	no	—
695	C₄×D₄	—	4	1	no	—
696	C₄×D₄	—	4	1	no	—
697	C₄×D₄	—	4	1	no	—
698	C₄×D₄	—	4	1	no	—
699	C₄×D₄	—	4	1	no	—
700	C₄×D₄	—	4	1	no	—
701	C₄×D₄	—	4	1	no	—
702	C₄×D₄	—	4	2	no	—
703	C₄×D₄	—	4	2	no	—
704	C₄×D₄	—	4	2	no	—
705	C₄×D₄	—	4	2	no	—
706	C₄×D₄	—	4	2	no	—
707	C₄×D₄	—	4	2	no	—
708	C₄×D₄	—	4	2	no	—
709	C₄×D₄	—	4	2	no	—
710	C₄×D₄	—	4	2	no	—
711	C₄×D₄	—	4	2	no	—
712	C₄×D₄	—	4	2	no	—
713	C₄×D₄	—	4	2	no	—
714	C₄×D₄	—	4	2	no	—
715	C₄×D₄	—	4	2	no	—
716	C₄×D₄	—	4	2	no	—
717	C₄×D₄	—	4	2	no	—
718	C₄×D₄	—	4	2	no	—
719	C₂×C₄⋊C₄	—	4	2	no	—
720	C₂×C₄⋊C₄	—	4	2	no	—
721	C₂×C₄⋊C₄	—	4	2	no	—
722	C₂×C₄⋊C₄	—	4	2	no	—
723	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	—	4	2	no	—
744	C₂×C₂²⋊C₄	—	4	2	no	—
745	C₂×C₂²⋊C₄	—	4	2	no	—
746	C₂×C₂²⋊C₄	—	4	2	no	—
747	C₂×C₂²⋊C₄	—	4	2	no	—
748	C₂×C₂²⋊C₄	—	4	2	no	—
749	C₂×C₂²⋊C₄	—	4	2	no	—
750	C₂×C₂²⋊C₄	—	4	2	no	—
751	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	C₂×C₄²	—	4	1	no	—
800	C₂×C₄²	—	4	1	no	—
801	C₂×C₄²	—	4	1	no	—
802	C₂×C₄²	—	4	1	no	—
803	C₂×C₄²	—	4	1	no	—
804	C₂×C₄²	—	4	1	no	—
805	C₂×C₄²	—	4	1	no	—
806	C₂×C₄²	—	4	1	no	—
807	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
808	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
809	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
810	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
811	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
812	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
813	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
814	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
815	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
816	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
817	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
818	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
819	C₂×C₄²	C₂⁴	1	1	yes	characteristic
820	C₂×C₄²	C₂⁴	1	1	yes	characteristic
821	C₂×C₄²	C₂⁴	1	1	yes	characteristic
822	C₂×C₄²	C₂⁴	1	1	yes	characteristic
823	C₂×C₄²	C₂⁴	1	1	yes	characteristic
824	C₂×C₄²	C₂⁴	1	1	yes	characteristic
825	C₂×C₄²	C₂⁴	1	1	yes	characteristic
826	C₄⋊C₈	—	4	1	no	—
827	C₄⋊C₈	—	4	1	no	—
828	C₄⋊C₈	—	4	1	no	—
829	C₄⋊C₈	—	4	1	no	—
830	C₄⋊C₈	—	4	1	no	—
831	C₄⋊C₈	—	4	1	no	—
832	C₄⋊C₈	—	4	1	no	—
833	C₄⋊C₈	—	4	1	no	—
834	C₄⋊C₈	—	4	1	no	—
835	C₄⋊C₈	—	4	1	no	—
836	C₂²⋊C₈	—	2	2	no	—
837	C₂²⋊C₈	—	2	2	no	—
838	C₂²⋊C₈	—	2	2	no	—
839	C₂²⋊C₈	—	2	2	no	—
840	C₂²⋊C₈	—	2	2	no	—
841	C₂²⋊C₈	—	2	2	no	—
842	C₂²⋊C₈	—	2	2	no	—
843	C₂²⋊C₈	—	2	2	no	—
844	C₂²⋊C₈	—	2	2	no	—
845	C₂²⋊C₈	—	2	2	no	—
846	C₂²⋊C₈	—	2	2	no	—
847	C₂²⋊C₈	—	2	2	no	—
848	C₂²⋊C₈	—	4	1	no	—
849	C₂²⋊C₈	—	4	1	no	—
850	C₂²⋊C₈	—	4	1	no	—
851	C₂²⋊C₈	—	4	1	no	—
852	C₂²⋊C₈	—	4	1	no	—
853	C₂²⋊C₈	—	4	1	no	—
854	C₂²⋊C₈	—	4	1	no	—
855	C₂²⋊C₈	—	4	1	no	—
856	C₂²⋊C₈	—	4	1	no	—
857	C₂²⋊C₈	—	4	1	no	—
858	C₂²⋊C₈	—	4	1	no	—
859	C₂²⋊C₈	—	4	1	no	—
860	C₂²⋊C₈	—	4	1	no	—
861	C₂²⋊C₈	—	4	1	no	—
862	C₂²⋊C₈	—	4	1	no	—
863	C₂²⋊C₈	—	4	1	no	—
864	C₂²⋊C₈	—	4	1	no	—
865	C₂²⋊C₈	—	4	1	no	—
866	C₂²⋊C₈	—	4	1	no	—
867	C₂²⋊C₈	—	4	1	no	—
868	C₂²⋊C₈	—	4	1	no	—
869	C₂²⋊C₈	—	4	1	no	—
870	C₂²⋊C₈	—	4	1	no	—
871	C₂²⋊C₈	—	4	1	no	—
872	C₂²⋊C₈	—	4	1	no	—
873	C₂²⋊C₈	—	4	1	no	—
874	C₂²⋊C₈	—	4	1	no	—
875	C₂²⋊C₈	—	4	1	no	—
876	C₂²⋊C₈	—	4	1	no	—
877	C₂²⋊C₈	—	4	1	no	—
878	C₂²⋊C₈	—	4	1	no	—
879	C₂²⋊C₈	—	4	1	no	—
880	C₂²⋊C₈	—	4	1	no	—
881	C₂²⋊C₈	—	4	1	no	—
882	C₂²⋊C₈	—	4	1	no	—
883	C₂²⋊C₈	—	4	1	no	—
884	#97	—	2	2	no	—
885	#97	—	4	1	no	—
886	#97	—	4	1	no	—
887	#97	—	4	1	no	—
888	C₄×C₈	—	4	1	no	—
889	C₄×C₈	—	4	1	no	—
890	C₄×C₈	—	4	1	no	—
891	C₄×C₈	—	4	1	no	—
892	C₄×C₈	—	4	1	no	—
893	C₄×C₈	—	4	1	no	—
894	#95	C₂²×C₄	1	1	yes	characteristic
895	#95	C₂²×C₄	1	1	yes	characteristic
896	#95	C₂²×C₄	1	1	yes	characteristic
897	#95	C₂²×C₄	1	1	yes	characteristic
898	#95	C₂²×C₄	1	1	yes	characteristic
899	#95	C₂²×C₄	1	1	yes	characteristic
900	#95	C₂²×C₄	1	1	yes	characteristic
901	#95	C₂²×C₄	1	1	yes	characteristic
902	#95	C₂²×C₄	1	1	yes	characteristic
903	#95	C₂²×C₄	1	1	yes	characteristic
904	#95	C₂²×C₄	1	1	yes	characteristic
905	#95	C₂²×C₄	1	1	yes	characteristic
906	#95	C₂²×C₄	1	1	yes	characteristic
907	#95	C₂²×C₄	1	1	yes	characteristic
908	#95	C₂²×C₄	1	1	yes	characteristic
909	#95	C₂²×C₄	1	1	yes	characteristic
910	#95	C₂²×C₄	1	1	yes	characteristic
911	#95	C₂²×C₄	1	1	yes	characteristic
912	#95	C₂²×C₄	1	1	yes	characteristic
913	#95	C₂²×C₄	1	1	yes	characteristic
914	C₂⁴	—	2	2	no	—
915	C₂⁴	—	2	2	no	—
916	C₂⁴	—	2	2	no	—
917	C₂⁴	—	2	2	no	—
918	C₂⁴	—	2	2	no	—
919	C₂⁴	—	2	2	no	—
920	C₂⁴	—	2	2	no	—
921	C₂⁴	—	2	2	no	—
922	C₂⁴	—	2	2	no	—
923	C₂⁴	—	2	2	no	—
924	C₂⁴	—	4	1	no	—
925	C₂⁴	—	4	1	no	—
926	C₂⁴	—	4	1	no	—
927	C₂⁴	—	4	1	no	—
928	C₂⁴	—	4	1	no	—
929	C₂⁴	—	4	1	no	—
930	C₂⁴	—	4	1	no	—
931	C₂⁴	—	4	1	no	—
932	C₂⁴	—	4	1	no	—
933	C₂⁴	—	4	1	no	—
934	C₂⁴	—	4	1	no	—
935	C₂⁴	—	4	1	no	—
936	C₂⁴	—	4	1	no	—
937	C₂⁴	—	4	1	no	—
938	C₂⁴	—	4	1	no	—
939	C₂⁴	—	4	1	no	—
940	C₂⁴	—	4	1	no	—
941	C₂⁴	—	4	1	no	—
942	C₂⁴	C₂³×C₄	1	1	yes	characteristic
943	C₂⁴	C₂³×C₄	1	1	yes	characteristic
944	C₂⁴	C₂³×C₄	1	1	yes	characteristic
945	C₂⁴	C₂³×C₄	1	1	yes	characteristic
946	C₂⁴	C₂³×C₄	1	1	yes	characteristic
947	C₂⁴	C₂³×C₄	1	1	yes	characteristic
948	C₂⁴	C₂³×C₄	1	1	yes	characteristic
949	C₂⁴	C₂³×C₄	1	1	yes	characteristic
950	C₂×D₄	—	2	2	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	2	2	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	2	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	2	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	2	2	no	—
970	C₂×D₄	—	2	2	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	2	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	2	no	—
975	C₂×D₄	—	4	1	no	—
976	C₂×D₄	—	4	1	no	—
977	C₂×D₄	—	4	1	no	—
978	C₂×D₄	—	4	1	no	—
979	C₂×D₄	—	4	1	no	—
980	C₂×D₄	—	4	1	no	—
981	C₂×D₄	—	4	1	no	—
982	C₂×D₄	—	4	1	no	—
983	C₂×D₄	—	4	1	no	—
984	C₂×D₄	—	4	1	no	—
985	C₂×D₄	—	4	1	no	—
986	C₂×D₄	—	4	1	no	—
987	C₂×D₄	—	4	1	no	—
988	C₂×D₄	—	4	1	no	—
989	C₂×D₄	—	4	1	no	—
990	C₂×D₄	—	4	1	no	—
991	C₂×D₄	—	4	1	no	—
992	C₂×D₄	—	4	1	no	—
993	C₂×D₄	—	4	1	no	—
994	C₂×D₄	—	4	1	no	—
995	C₂×D₄	—	4	16	no	—
996	C₂×D₄	—	4	16	no	—
997	C₂×D₄	—	4	16	no	—
998	C₂×D₄	—	4	16	no	—
999	C₂×D₄	C₂×M₁₆	1	4	yes	—
1000	C₂×D₄	C₂×M₁₆	1	4	yes	—
1001	C₂×D₄	C₂×M₁₆	1	4	yes	complemented
1002	C₂²×C₄	—	2	1	no	—
1003	C₂²×C₄	—	2	1	no	—
1004	C₂²×C₄	—	2	1	no	—
1005	C₂²×C₄	—	2	1	no	—
1006	C₂²×C₄	—	2	1	no	—
1007	C₂²×C₄	—	2	1	no	—
1008	C₂²×C₄	—	2	1	no	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	2	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	2	no	—
1016	C₂²×C₄	—	2	2	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	2	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	1	no	—
1025	C₂²×C₄	—	2	1	no	—
1026	C₂²×C₄	—	2	1	no	—
1027	C₂²×C₄	—	2	1	no	—
1028	C₂²×C₄	—	2	1	no	—
1029	C₂²×C₄	—	2	1	no	—
1030	C₂²×C₄	—	2	1	no	—
1031	C₂²×C₄	—	2	1	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	1	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	1	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	1	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	1	no	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	1	no	—
1052	C₂²×C₄	—	2	1	no	—
1053	C₂²×C₄	—	2	1	no	—
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	2	1	no	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	2	1	no	—
1058	C₂²×C₄	—	2	1	no	—
1059	C₂²×C₄	—	2	1	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	4	no	—
1074	C₂²×C₄	—	4	4	no	—
1075	C₂²×C₄	—	4	4	no	—
1076	C₂²×C₄	—	4	4	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	4	1	no	—
1079	C₂²×C₄	—	4	1	no	—
1080	C₂²×C₄	—	4	1	no	—
1081	C₂²×C₄	—	4	1	no	—
1082	C₂²×C₄	—	4	1	no	—
1083	C₂²×C₄	—	4	1	no	—
1084	C₂²×C₄	—	4	1	no	—
1085	C₂²×C₄	—	4	1	no	—
1086	C₂²×C₄	—	4	1	no	—
1087	C₂²×C₄	—	4	1	no	—
1088	C₂²×C₄	—	4	1	no	—
1089	C₂²×C₄	—	4	1	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	—	4	1	no	—
1101	C₂²×C₄	—	4	1	no	—
1102	C₂²×C₄	—	4	1	no	—
1103	C₂²×C₄	—	4	1	no	—
1104	C₂²×C₄	—	4	1	no	—
1105	C₂²×C₄	—	4	1	no	—
1106	C₂²×C₄	—	4	1	no	—
1107	C₂²×C₄	—	4	1	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	8	2	no	—
1110	C₂²×C₄	—	8	2	no	—
1111	C₂²×C₄	—	8	2	no	—
1112	C₂²×C₄	—	8	2	no	—
1113	C₂²×C₄	—	8	2	no	—
1114	C₂²×C₄	—	8	2	no	—
1115	C₂²×C₄	—	8	2	no	—
1116	C₂²×C₄	—	8	2	no	—
1117	C₂²×C₄	—	8	2	no	—
1118	C₂²×C₄	—	8	2	no	—
1119	C₂²×C₄	—	8	2	no	—
1120	C₂²×C₄	—	8	2	no	—
1121	C₂²×C₄	C₂×M₁₆	1	4	yes	complemented
1122	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1144	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1145	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1146	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1147	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1148	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1149	M₁₆	—	4	4	no	—
1150	M₁₆	—	4	4	no	—
1151	M₁₆	—	4	4	no	—
1152	M₁₆	—	4	4	no	—
1153	M₁₆	—	8	2	no	—
1154	M₁₆	—	8	2	no	—
1155	M₁₆	—	8	2	no	—
1156	M₁₆	—	8	2	no	—
1157	M₁₆	—	8	2	no	—
1158	M₁₆	—	8	2	no	—
1159	M₁₆	—	8	2	no	—
1160	M₁₆	—	8	2	no	—
1161	C₂×C₈	—	2	1	no	—
1162	C₂×C₈	—	2	1	no	—
1163	C₂×C₈	—	2	1	no	—
1164	C₂×C₈	—	2	1	no	—
1165	C₂×C₈	—	2	1	no	—
1166	C₂×C₈	—	2	1	no	—
1167	C₂×C₈	—	2	1	no	—
1168	C₂×C₈	—	2	1	no	—
1169	C₂×C₈	—	2	1	no	—
1170	C₂×C₈	—	2	1	no	—
1171	C₂×C₈	—	2	1	no	—
1172	C₂×C₈	—	2	1	no	—
1173	C₂×C₈	—	2	1	no	—
1174	C₂×C₈	—	2	1	no	—
1175	C₂×C₈	—	2	1	no	—
1176	C₂×C₈	—	2	1	no	—
1177	C₂×C₈	—	2	1	no	—
1178	C₂×C₈	—	2	1	no	—
1179	C₂×C₈	—	2	1	no	—
1180	C₂×C₈	—	2	1	no	—
1181	C₂×C₈	—	2	1	no	—
1182	C₂×C₈	—	2	1	no	—
1183	C₂×C₈	—	2	1	no	—
1184	C₂×C₈	—	2	1	no	—
1185	C₂×C₈	—	2	1	no	—
1186	C₂×C₈	—	2	1	no	—
1187	C₂×C₈	—	2	1	no	—
1188	C₂×C₈	—	2	1	no	—
1189	C₂×C₈	—	2	1	no	—
1190	C₂×C₈	—	2	1	no	—
1191	C₂×C₈	—	2	1	no	—
1192	C₂×C₈	—	2	1	no	—
1193	C₂×C₈	—	2	1	no	—
1194	C₂×C₈	—	2	1	no	—
1195	C₂×C₈	—	2	1	no	—
1196	C₂×C₈	—	2	1	no	—
1197	C₂×C₈	—	2	1	no	—
1198	C₂×C₈	—	2	1	no	—
1199	C₂×C₈	—	2	1	no	—
1200	C₂×C₈	—	2	1	no	—
1201	C₂×C₈	—	2	1	no	—
1202	C₂×C₈	—	2	1	no	—
1203	C₂×C₈	—	2	1	no	—
1204	C₂×C₈	—	2	1	no	—
1205	C₂×C₈	—	2	1	no	—
1206	C₂×C₈	—	2	1	no	—
1207	C₂×C₈	—	2	1	no	—
1208	C₂×C₈	—	4	4	no	—
1209	C₂×C₈	—	4	4	no	—
1210	C₂×C₈	—	8	2	no	—
1211	C₂×C₈	—	8	2	no	—
1212	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	2	no	—
1215	C₄⋊C₄	—	2	2	no	—
1216	C₄⋊C₄	—	2	2	no	—
1217	C₄⋊C₄	—	2	2	no	—
1218	C₄⋊C₄	—	2	2	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	4	1	no	—
1222	C₄⋊C₄	—	4	1	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	C₂×M₁₆	1	4	yes	complemented
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	4	1	no	—
1253	C₂²⋊C₄	—	4	1	no	—
1254	C₂²⋊C₄	—	4	1	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	C₂×M₁₆	1	4	yes	—
1280	C₂²⋊C₄	C₂×M₁₆	1	4	yes	complemented
1281	C₄²	—	2	2	no	—
1282	C₄²	—	2	2	no	—
1283	C₄²	—	2	1	no	—
1284	C₄²	—	2	1	no	—
1285	C₄²	—	2	1	no	—
1286	C₄²	—	2	1	no	—
1287	C₄²	—	2	1	no	—
1288	C₄²	—	2	1	no	—
1289	C₄²	—	2	1	no	—
1290	C₄²	—	2	1	no	—
1291	C₄²	—	2	1	no	—
1292	C₄²	—	2	1	no	—
1293	C₄²	—	2	1	no	—
1294	C₄²	—	2	1	no	—
1295	C₄²	—	2	1	no	—
1296	C₄²	—	2	1	no	—
1297	C₄²	—	4	1	no	—
1298	C₄²	—	4	1	no	—
1299	C₄²	—	4	1	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₄²	—	4	1	no	—
1303	C₄²	—	4	1	no	—
1304	C₄²	—	4	1	no	—
1305	C₄²	—	4	1	no	—
1306	C₄²	—	4	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	2	1	no	—
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	4	4	no	—
1358	C₂³	—	4	4	no	—
1359	C₂³	—	4	4	no	—
1360	C₂³	—	4	4	no	—
1361	C₂³	—	4	4	no	—
1362	C₂³	—	4	4	no	—
1363	C₂³	—	4	4	no	—
1364	C₂³	—	4	4	no	—
1365	C₂³	—	4	4	no	—
1366	C₂³	—	4	4	no	—
1367	C₂³	—	8	2	no	—
1368	C₂³	—	8	2	no	—
1369	C₂³	—	8	2	no	—
1370	C₂³	—	8	2	no	—
1371	C₂³	—	8	2	no	—
1372	C₂³	—	8	2	no	—
1373	C₂³	—	8	2	no	—
1374	C₂³	—	8	2	no	—
1375	C₂³	—	8	2	no	—
1376	C₂³	—	8	2	no	—
1377	C₂³	—	8	2	no	—
1378	C₂³	—	8	2	no	—
1379	C₂³	—	8	2	no	—
1380	C₂³	—	8	2	no	—
1381	C₂³	—	8	2	no	—
1382	C₂³	—	8	2	no	—
1383	C₂³	—	8	2	no	—
1384	C₂³	—	8	2	no	—
1385	C₂³	#518	1	2	yes	—
1386	C₂³	#518	1	2	yes	—
1387	C₂³	C₂²×M₁₆	1	2	yes	—
1388	C₂³	C₂²×M₁₆	1	2	yes	—
1389	C₂³	C₂²×M₁₆	1	2	yes	—
1390	C₂³	#568	1	2	yes	—
1391	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1392	D₄	—	2	8	no	—
1393	D₄	—	2	8	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	4	no	—
1399	D₄	—	4	4	no	—
1400	D₄	—	4	4	no	—
1401	D₄	—	4	4	no	—
1402	D₄	—	4	4	no	—
1403	D₄	—	4	4	no	—
1404	D₄	—	4	4	no	—
1405	D₄	—	4	4	no	—
1406	D₄	—	8	2	no	—
1407	D₄	—	8	2	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	2	no	—
1423	C₂×C₄	—	2	2	no	—
1424	C₂×C₄	—	2	2	no	—
1425	C₂×C₄	—	2	2	no	—
1426	C₂×C₄	—	2	2	no	—
1427	C₂×C₄	—	2	2	no	—
1428	C₂×C₄	—	2	2	no	—
1429	C₂×C₄	—	2	2	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	4	4	no	—
1476	C₂×C₄	—	4	4	no	—
1477	C₂×C₄	—	4	4	no	—
1478	C₂×C₄	—	4	4	no	—
1479	C₂×C₄	—	4	4	no	—
1480	C₂×C₄	—	4	4	no	—
1481	C₂×C₄	—	4	4	no	—
1482	C₂×C₄	—	4	1	no	—
1483	C₂×C₄	—	4	1	no	—
1484	C₂×C₄	—	4	1	no	—
1485	C₂×C₄	—	4	1	no	—
1486	C₂×C₄	—	4	1	no	—
1487	C₂×C₄	—	4	1	no	—
1488	C₂×C₄	—	4	1	no	—
1489	C₂×C₄	—	4	1	no	—
1490	C₂×C₄	—	4	1	no	—
1491	C₂×C₄	—	4	1	no	—
1492	C₂×C₄	—	4	1	no	—
1493	C₂×C₄	—	4	1	no	—
1494	C₂×C₄	—	4	1	no	—
1495	C₂×C₄	—	4	1	no	—
1496	C₂×C₄	—	4	1	no	—
1497	C₂×C₄	—	4	1	no	—
1498	C₂×C₄	—	4	1	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	1	no	—
1501	C₂×C₄	—	4	1	no	—
1502	C₂×C₄	—	4	1	no	—
1503	C₂×C₄	—	4	1	no	—
1504	C₂×C₄	—	4	1	no	—
1505	C₂×C₄	—	4	1	no	—
1506	C₂×C₄	—	8	2	no	—
1507	C₂×C₄	—	8	2	no	—
1508	C₂×C₄	—	8	2	no	—
1509	C₂×C₄	—	8	2	no	—
1510	C₂×C₄	—	8	2	no	—
1511	C₂×C₄	—	8	2	no	—
1512	C₂×C₄	—	8	2	no	—
1513	C₂×C₄	—	8	2	no	—
1514	C₂×C₄	—	8	2	no	—
1515	C₂×C₄	—	8	2	no	—
1516	C₂×C₄	—	8	2	no	—
1517	C₂×C₄	—	8	2	no	—
1518	C₂×C₄	—	8	2	no	—
1519	C₂×C₄	#518	1	2	yes	—
1520	C₂×C₄	#518	1	2	yes	—
1521	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1522	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1523	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1524	C₂×C₄	C₂²×M₁₆	1	2	yes	—
1525	C₂×C₄	#568	1	2	yes	—
1526	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1527	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1528	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1529	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1530	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1531	C₂×C₄	#585	1	1	yes	characteristic
1532	C₈	—	2	2	no	—
1533	C₈	—	4	1	no	—
1534	C₈	—	4	1	no	—
1535	C₈	—	4	1	no	—
1536	C₈	—	4	1	no	—
1537	C₈	—	4	1	no	—
1538	C₈	—	4	1	no	—
1539	C₈	—	4	1	no	—
1540	C₈	—	4	1	no	—
1541	C₈	—	4	1	no	—
1542	C₈	—	4	1	no	—
1543	C₈	—	4	1	no	—
1544	C₈	—	4	1	no	—
1545	C₈	—	4	1	no	—
1546	C₈	—	4	1	no	—
1547	C₈	—	4	1	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	2	no	—
1554	C₂²	—	2	2	no	—
1555	C₂²	—	2	2	no	—
1556	C₂²	—	2	2	no	—
1557	C₂²	—	2	2	no	—
1558	C₂²	—	2	2	no	—
1559	C₂²	—	2	2	no	—
1560	C₂²	—	2	2	no	—
1561	C₂²	—	2	2	no	—
1562	C₂²	—	2	2	no	—
1563	C₂²	—	2	2	no	—
1564	C₂²	—	2	2	no	—
1565	C₂²	—	2	2	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	4	1	no	—
1593	C₂²	—	4	1	no	—
1594	C₂²	—	4	1	no	—
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	8	8	no	—
1605	C₂²	—	8	8	no	—
1606	C₂²	—	8	8	no	—
1607	C₂²	—	8	8	no	—
1608	C₂²	C₂×#518	1	1	yes	characteristic
1609	C₂²	C₂×#518	1	1	yes	characteristic
1610	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1611	C₂²	C₂³×M₁₆	1	1	yes	characteristic
1612	C₂²	C₂×#568	1	1	yes	characteristic
1613	C₂²	C₂×#568	1	1	yes	characteristic
1614	C₂²	#3573	1	1	yes	characteristic
1615	C₄	—	2	2	no	—
1616	C₄	—	2	2	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	2	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	2	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	4	1	no	—
1627	C₄	—	4	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	#3532	1	1	yes	characteristic
1638	C₄	#3534	1	1	yes	characteristic
1639	C₄	#3534	1	1	yes	characteristic
1640	C₄	#3537	1	1	yes	characteristic
1641	C₂	—	4	2	no	—
1642	C₂	—	4	2	no	—
1643	C₂	—	4	2	no	—
1644	C₂	—	4	2	no	—
1645	C₂	—	4	2	no	—
1646	C₂	—	4	2	no	—
1647	C₂	—	8	1	no	—
1648	C₂	—	8	1	no	—
1649	C₂	#34468	1	1	yes	characteristic
1650	C₂	#60230	1	1	yes	characteristic
1651	C₂	#60230	1	1	yes	characteristic
1652	C₂	#60240	1	1	yes	characteristic
1653	C₂	#60241	1	1	yes	characteristic
1654	C₂	#60324	1	1	yes	characteristic
1655	C₂	#60325	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×D₄²	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. #23356	C₂	semidirect
3. #23329	C₂	semidirect
4. #23326	C₂	semidirect
5. #23307	C₂	semidirect
6. #23121	C₂	semidirect
7. #23118	C₂	semidirect
8. #22852	C₂	semidirect
9. #22850	C₂	semidirect
10. #22848	C₂	semidirect
11. #22788	C₂	semidirect
12. #22788	C₂	semidirect
13. #22401	C₂	semidirect
14. #22401	C₂	semidirect
15. #22401	C₂	semidirect
16. #22399	C₂	semidirect
17. #22333	C₂	semidirect
18. #22329	C₂	semidirect
19. #22266	C₂	semidirect
20. #22178	C₂	semidirect
21. #22174	C₂	semidirect
22. #22038	C₂	semidirect
23. #22036	C₂	semidirect
24. #22036	C₂	semidirect
25. #22002	C₂	semidirect
26. #21998	C₂	semidirect
27. #21742	C₂	semidirect
28. #21740	C₂	semidirect
29. #21441	C₂	semidirect
30. #20898	C₂	semidirect
31. #20898	C₂	semidirect
32. C₂³×M₁₆	C₂²	semidirect
38. C₂×#436	C₂²	semidirect
39. C₂×#436	C₂²	semidirect
40. C₂×#436	C₂²	semidirect
41. C₂×#436	C₂²	semidirect
42. C₂×#436	C₂²	semidirect
43. C₂×#436	C₂²	semidirect
44. C₂×#435	C₂²	semidirect
45. C₂×#435	C₂²	semidirect
46. C₂×#435	C₂²	semidirect
47. C₂×#435	C₂²	semidirect
48. C₂×#407	C₂²	semidirect
49. C₂×#407	C₂²	semidirect
50. C₂×#407	C₂²	semidirect
51. C₂×#407	C₂²	semidirect
52. C₂×#407	C₂²	semidirect
53. C₂×#407	C₂²	semidirect
54. C₂×#407	C₂²	semidirect
55. C₂×#407	C₂²	semidirect
56. C₂²×C₂²⋊C₈	C₂²	semidirect
83. #1955	C₂²	semidirect
84. #1955	C₂²	semidirect
85. #1955	C₂²	semidirect
86. #1955	C₂²	semidirect
87. #1954	C₂²	semidirect
88. #1954	C₂²	semidirect
89. #1954	C₂²	semidirect
90. #1954	C₂²	semidirect
91. #1954	C₂²	semidirect
92. #1954	C₂²	semidirect
93. #1924	C₂²	semidirect
94. #1924	C₂²	semidirect
95. #1924	C₂²	semidirect
96. #1924	C₂²	semidirect
97. #1924	C₂²	semidirect
98. #1924	C₂²	semidirect
99. #1924	C₂²	semidirect
100. #1924	C₂²	semidirect
101. #1923	C₂²	semidirect
102. #1923	C₂²	semidirect
103. #1923	C₂²	semidirect
104. #1923	C₂²	semidirect
105. #1923	C₂²	semidirect
106. #1923	C₂²	semidirect
107. #1923	C₂²	semidirect
108. #1923	C₂²	semidirect
109. #1917	C₂²	semidirect
110. #1917	C₂²	semidirect
111. #1916	C₂²	semidirect
112. #1916	C₂²	semidirect
113. #1916	C₂²	semidirect
114. #1916	C₂²	semidirect
115. #1916	C₂²	semidirect
116. #1916	C₂²	semidirect
125. #1870	C₂²	semidirect
126. #1870	C₂²	semidirect
127. #1870	C₂²	semidirect
128. #1870	C₂²	semidirect
129. #1870	C₂²	semidirect
130. #1870	C₂²	semidirect
131. #1870	C₂²	semidirect
132. #1870	C₂²	semidirect
133. #1870	C₂²	semidirect
134. #1870	C₂²	semidirect
135. #1870	C₂²	semidirect
136. #1870	C₂²	semidirect
137. #1870	C₂²	semidirect
138. #1870	C₂²	semidirect
139. #1870	C₂²	semidirect
140. #1870	C₂²	semidirect
141. #1870	C₂²	semidirect
142. #1870	C₂²	semidirect
143. #1870	C₂²	semidirect
144. #1870	C₂²	semidirect
145. #1869	C₂²	semidirect
146. #1869	C₂²	semidirect
147. #1869	C₂²	semidirect
148. #1869	C₂²	semidirect
149. #1869	C₂²	semidirect
150. #1869	C₂²	semidirect
151. #1869	C₂²	semidirect
152. #1869	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1869	C₂²	semidirect
156. #1869	C₂²	semidirect
157. #1869	C₂²	semidirect
158. #1869	C₂²	semidirect
159. #1869	C₂²	semidirect
160. #1869	C₂²	semidirect
161. #1851	C₂²	semidirect
162. #1851	C₂²	semidirect
163. #1851	C₂²	semidirect
164. #1851	C₂²	semidirect
165. #1851	C₂²	semidirect
166. #1851	C₂²	semidirect
167. #1850	C₂²	semidirect
168. #1850	C₂²	semidirect
169. #1839	C₂²	semidirect
170. #1839	C₂²	semidirect
171. #1831	C₂²	semidirect
172. #1817	C₂²	semidirect
173. #1817	C₂²	semidirect
174. #1817	C₂²	semidirect
175. #1817	C₂²	semidirect
176. #1797	C₂²	semidirect
177. #1797	C₂²	semidirect
178. #1797	C₂²	semidirect
179. #1797	C₂²	semidirect
180. #1779	C₂²	semidirect
181. #1779	C₂²	semidirect
182. #1779	C₂²	semidirect
183. #1779	C₂²	semidirect
184. #1779	C₂²	semidirect
185. #1779	C₂²	semidirect
186. #1753	C₂²	semidirect
187. #1753	C₂²	semidirect
188. #1753	C₂²	semidirect
189. #1753	C₂²	semidirect
190. #1753	C₂²	semidirect
191. #1753	C₂²	semidirect
192. C₈×C₂²⋊C₄	C₂²	semidirect
193. C₈×C₂²⋊C₄	C₂²	semidirect
194. #1749	C₂²	semidirect
195. C₄×C₂²⋊C₈	C₂²	semidirect
196. C₄×C₂²⋊C₈	C₂²	semidirect
197. C₄×C₂²⋊C₈	C₂²	semidirect
198. #1745	C₂²	semidirect
199. #1728	C₂²	semidirect
200. #1728	C₂²	semidirect
201. #1728	C₂²	semidirect
202. #1728	C₂²	semidirect
662. #121	M₁₆	semidirect
1001. C₂×D₄	C₂×M₁₆	semidirect
1121. C₂²×C₄	C₂×M₁₆	semidirect
1232. C₄⋊C₄	C₂×M₁₆	semidirect
1280. C₂²⋊C₄	C₂×M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₄×D₄²	2
#23356	2
#23329	2
#23326	2
#23307	2
#23121	2
#23118	2
#22852	2
#22850	2
#22848	2
#22788	2
#22401	2
#22399	2
#22333	2
#22329	2
#22266	2
#22178	2
#22174	2
#22038	2
#22036	2
#22002	2
#21998	2
#21742	2
#21740	2
#21441	2
#20898	2