Subgroups — #6377642

Order 512.

2241 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2933	C₂	1	1	yes	maximal, characteristic, complemented
3	#34562	C₂	1	1	yes	maximal, characteristic
4	#22177	C₂	1	1	yes	maximal, characteristic, complemented
5	#22173	C₂	1	1	yes	maximal, characteristic, complemented
6	#22173	C₂	1	1	yes	maximal, characteristic, complemented
7	#22169	C₂	1	1	yes	maximal, characteristic, complemented
8	#22074	C₂	1	1	yes	maximal, characteristic, complemented
9	#22073	C₂	1	1	yes	maximal, characteristic, complemented
10	#22072	C₂	1	1	yes	maximal, characteristic, complemented
11	#22071	C₂	1	1	yes	maximal, characteristic, complemented
12	#22039	C₂	1	1	yes	maximal, characteristic, complemented
13	#22038	C₂	1	1	yes	maximal, characteristic, complemented
14	#22037	C₂	1	1	yes	maximal, characteristic, complemented
15	#22036	C₂	1	1	yes	maximal, characteristic, complemented
16	#21933	C₂	1	1	yes	maximal, characteristic, complemented
17	#21743	C₂	1	1	yes	maximal, characteristic, complemented
18	#21740	C₂	1	1	yes	maximal, characteristic, complemented
19	#21571	C₂	1	1	yes	maximal, characteristic, complemented
20	#21568	C₂	1	1	yes	maximal, characteristic, complemented
21	#21565	C₂	1	1	yes	maximal, characteristic, complemented
22	#21562	C₂	1	1	yes	maximal, characteristic, complemented
23	#21495	C₂	1	1	yes	maximal, characteristic, complemented
24	#21495	C₂	1	1	yes	maximal, characteristic, complemented
25	#21493	C₂	1	1	yes	maximal, characteristic, complemented
26	#21491	C₂	1	1	yes	maximal, characteristic, complemented
27	#21445	C₂	1	1	yes	maximal, characteristic, complemented
28	#21443	C₂	1	1	yes	maximal, characteristic, complemented
29	#21441	C₂	1	1	yes	maximal, characteristic, complemented
30	#21439	C₂	1	1	yes	maximal, characteristic, complemented
31	#20386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#131	C₂²	1	1	yes	characteristic, complemented
33	C₂³×M₁₆	C₂²	1	1	yes	characteristic
34	C₂³×M₁₆	C₂²	1	1	yes	characteristic
35	C₂×#525	C₂²	1	1	yes	characteristic
36	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
37	D₄×M₁₆	—	2	8	no	—
38	#2933	—	2	8	no	—
39	C₂×#436	C₂²	1	1	yes	characteristic
40	C₂×#436	C₂²	1	1	yes	characteristic
41	C₂×#436	C₂²	1	1	yes	characteristic
42	C₂×#436	C₂²	1	1	yes	characteristic
43	C₂×#436	C₂²	1	1	yes	characteristic, complemented
44	C₂×#435	C₂²	1	1	yes	characteristic
45	C₂×#435	C₂²	1	1	yes	characteristic
46	C₂×#435	C₂²	1	1	yes	characteristic
47	C₂×#435	C₂²	1	1	yes	characteristic
48	C₂×#435	C₂²	1	1	yes	characteristic
49	C₂×#435	C₂²	1	1	yes	characteristic
50	C₂×#435	C₂²	1	1	yes	characteristic, complemented
51	C₂×#435	C₂²	1	1	yes	characteristic, complemented
52	C₂×#435	C₂²	1	1	yes	characteristic, complemented
53	C₂×#435	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×#424	C₂²	1	1	yes	characteristic, complemented
60	C₂×#423	C₂²	1	1	yes	characteristic
61	C₂×#408	C₂²	1	1	yes	characteristic, complemented
62	C₂×#407	C₂²	1	1	yes	characteristic
63	C₂×#407	C₂²	1	1	yes	characteristic
64	C₂×#407	C₂²	1	1	yes	characteristic
65	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
66	C₂×#405	C₂²	1	1	yes	characteristic, complemented
67	C₂×#405	C₂²	1	1	yes	characteristic, complemented
68	C₂×#405	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
70	#2638	C₄	1	1	yes	characteristic
71	#2638	C₄	1	1	yes	characteristic
72	#2635	C₄	1	1	yes	characteristic
73	#2635	C₄	1	1	yes	characteristic
74	#2630	C₄	1	1	yes	characteristic
75	#2630	C₄	1	1	yes	characteristic
76	#2630	C₄	1	1	yes	characteristic
77	#2630	C₄	1	1	yes	characteristic
78	#2627	C₄	1	1	yes	characteristic
79	#2626	C₄	1	1	yes	characteristic
80	#2622	C₄	1	1	yes	characteristic
81	#2622	C₄	1	1	yes	characteristic
82	#2618	C₄	1	1	yes	characteristic
83	#2617	C₄	1	1	yes	characteristic
84	#2613	C₄	1	1	yes	characteristic
85	#2613	C₄	1	1	yes	characteristic
86	#2395	C₂²	1	1	yes	characteristic
87	#2395	C₂²	1	1	yes	characteristic
88	#2392	C₂²	1	1	yes	characteristic
89	#2392	C₂²	1	1	yes	characteristic
90	#2392	C₂²	1	1	yes	characteristic
91	#2392	C₂²	1	1	yes	characteristic
92	#2388	C₂²	1	1	yes	characteristic
93	#2388	C₂²	1	1	yes	characteristic
94	C₄×#123	C₂²	1	1	yes	characteristic
95	C₄×#123	C₂²	1	1	yes	characteristic
96	C₄×#120	C₂²	1	1	yes	characteristic
97	C₄×#120	C₂²	1	1	yes	characteristic
98	#2280	C₂²	1	1	yes	characteristic
99	#1955	C₂²	1	1	yes	characteristic, complemented
100	#1955	C₂²	1	1	yes	characteristic, complemented
101	#1954	C₂²	1	1	yes	characteristic, complemented
102	#1954	C₂²	1	1	yes	characteristic, complemented
103	#1940	C₂²	1	1	yes	characteristic, complemented
104	#1940	C₂²	1	1	yes	characteristic, complemented
105	#1939	C₂²	1	1	yes	characteristic, complemented
106	#1939	C₂²	1	1	yes	characteristic, complemented
107	#1924	C₂²	1	1	yes	characteristic, complemented
108	#1924	C₂²	1	1	yes	characteristic, complemented
109	#1924	C₂²	1	1	yes	characteristic, complemented
110	#1924	C₂²	1	1	yes	characteristic, complemented
111	#1924	C₂²	1	1	yes	characteristic, complemented
112	#1924	C₂²	1	1	yes	characteristic, complemented
113	#1924	C₂²	1	1	yes	characteristic, complemented
114	#1924	C₂²	1	1	yes	characteristic, complemented
115	#1923	C₂²	1	1	yes	characteristic, complemented
116	#1923	C₂²	1	1	yes	characteristic, complemented
117	#1923	C₂²	1	1	yes	characteristic, complemented
118	#1923	C₂²	1	1	yes	characteristic, complemented
119	#1923	C₂²	1	1	yes	characteristic, complemented
120	#1923	C₂²	1	1	yes	characteristic, complemented
121	#1923	C₂²	1	1	yes	characteristic, complemented
122	#1923	C₂²	1	1	yes	characteristic, complemented
123	#1917	C₂²	1	1	yes	characteristic, complemented
124	#1917	C₂²	1	1	yes	characteristic, complemented
125	#1917	C₂²	1	1	yes	characteristic, complemented
126	#1917	C₂²	1	1	yes	characteristic, complemented
127	#1916	C₂²	1	1	yes	characteristic, complemented
128	#1916	C₂²	1	1	yes	characteristic, complemented
129	#1916	C₂²	1	1	yes	characteristic, complemented
130	#1916	C₂²	1	1	yes	characteristic, complemented
131	#1870	C₂²	1	1	yes	characteristic
132	#1870	C₂²	1	1	yes	characteristic
133	#1870	C₂²	1	1	yes	characteristic
134	#1870	C₂²	1	1	yes	characteristic
135	#1870	C₂²	1	1	yes	characteristic
136	#1870	C₂²	1	1	yes	characteristic
137	#1870	C₂²	1	1	yes	characteristic
138	#1870	C₂²	1	1	yes	characteristic
139	#1870	C₂²	1	1	yes	characteristic, 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	#1870	C₂²	1	1	yes	characteristic, complemented
146	#1870	C₂²	1	1	yes	characteristic, complemented
147	#1869	C₂²	1	1	yes	characteristic
148	#1869	C₂²	1	1	yes	characteristic
149	#1869	C₂²	1	1	yes	characteristic
150	#1869	C₂²	1	1	yes	characteristic
151	#1869	C₂²	1	1	yes	characteristic, 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	#1851	C₂²	1	1	yes	characteristic
156	#1851	C₂²	1	1	yes	characteristic
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1851	C₂²	1	1	yes	characteristic, complemented
160	#1851	C₂²	1	1	yes	characteristic, complemented
161	#1851	C₂²	1	1	yes	characteristic, complemented
162	#1851	C₂²	1	1	yes	characteristic, complemented
163	#1850	C₂²	1	1	yes	characteristic, complemented
164	#1850	C₂²	1	1	yes	characteristic, complemented
165	#1850	C₂²	1	1	yes	characteristic, complemented
166	#1850	C₂²	1	1	yes	characteristic, complemented
167	#1850	C₂²	1	1	yes	characteristic, complemented
168	#1850	C₂²	1	1	yes	characteristic, complemented
169	#1850	C₂²	1	1	yes	characteristic, complemented
170	#1850	C₂²	1	1	yes	characteristic, complemented
171	#1818	C₂²	1	1	yes	characteristic, complemented
172	#1818	C₂²	1	1	yes	characteristic, complemented
173	#1817	C₂²	1	1	yes	characteristic
174	#1817	C₂²	1	1	yes	characteristic
175	#1798	C₂²	1	1	yes	characteristic, complemented
176	#1798	C₂²	1	1	yes	characteristic, complemented
177	#1798	C₂²	1	1	yes	characteristic, complemented
178	#1798	C₂²	1	1	yes	characteristic, complemented
179	#1780	C₂²	1	1	yes	characteristic, complemented
180	#1780	C₂²	1	1	yes	characteristic, complemented
181	#1779	C₂²	1	1	yes	characteristic
182	#1779	C₂²	1	1	yes	characteristic
183	#1771	C₂²	1	1	yes	characteristic, complemented
184	#1771	C₂²	1	1	yes	characteristic, complemented
185	#1770	C₂²	1	1	yes	characteristic, complemented
186	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	#1753	C₂²	1	1	yes	characteristic
188	#1753	C₂²	1	1	yes	characteristic
189	#1753	C₂²	1	1	yes	characteristic
190	#1753	C₂²	1	1	yes	characteristic
191	#1753	C₂²	1	1	yes	characteristic, complemented
192	#1753	C₂²	1	1	yes	characteristic, complemented
193	#1753	C₂²	1	1	yes	characteristic, complemented
194	#1753	C₂²	1	1	yes	characteristic, complemented
195	#1753	C₂²	1	1	yes	characteristic, complemented
196	#1753	C₂²	1	1	yes	characteristic, complemented
197	#1753	C₂²	1	1	yes	characteristic, complemented
198	#1753	C₂²	1	1	yes	characteristic, complemented
199	#1752	C₂²	1	1	yes	characteristic, complemented
200	#1752	C₂²	1	1	yes	characteristic, complemented
201	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
202	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
203	#1729	C₂²	1	1	yes	characteristic, complemented
204	#1729	C₂²	1	1	yes	characteristic, complemented
205	C₂²×#41	C₂³	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	C₂×#131	—	2	4	no	—
210	C₂×#131	—	4	2	no	—
211	C₂×#131	—	4	2	no	—
212	C₂²×M₁₆	—	2	4	no	—
213	C₂²×M₁₆	—	4	2	no	—
214	C₂²×M₁₆	—	4	2	no	—
215	C₂²×M₁₆	—	4	2	no	—
216	C₂²×M₁₆	—	4	2	no	—
217	C₂²×M₁₆	D₄	1	8	yes	complemented
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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
227	C₂²×M₁₆	C₂³	1	1	yes	characteristic
228	C₂²×M₁₆	C₂³	1	1	yes	characteristic
229	C₂²×M₁₆	C₂³	1	1	yes	characteristic
230	C₂³×C₈	C₂³	1	1	yes	characteristic
231	C₂³×C₈	C₂³	1	1	yes	characteristic
232	C₂³×C₈	C₂³	1	1	yes	characteristic
233	C₂³×C₈	C₂³	1	1	yes	characteristic
234	C₂³×C₈	C₂³	1	1	yes	characteristic
235	C₂³×C₈	C₂³	1	1	yes	characteristic
236	C₂³×C₈	C₂³	1	1	yes	characteristic
237	C₂³×C₈	C₂³	1	1	yes	characteristic
238	#525	—	2	4	no	—
239	#525	—	2	4	no	—
240	C₂×#123	C₂×C₄	1	1	yes	characteristic
241	C₂×#123	C₂×C₄	1	1	yes	characteristic
242	C₂×#123	C₂×C₄	1	1	yes	characteristic
243	C₂×#123	C₂×C₄	1	1	yes	characteristic
244	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
245	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
246	C₂×#121	C₂×C₄	1	1	yes	characteristic
247	C₂×#121	C₂×C₄	1	1	yes	characteristic
248	C₂×#120	C₂×C₄	1	1	yes	characteristic
249	C₂×#120	C₂×C₄	1	1	yes	characteristic
250	C₂×#120	C₂×C₄	1	1	yes	characteristic
251	C₂×#120	C₂×C₄	1	1	yes	characteristic
252	C₂×C₄×D₄	—	2	4	no	—
253	C₂×C₄×D₄	—	2	4	no	—
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	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₂×#117	C₂³	1	1	yes	characteristic
271	C₂×#117	C₂³	1	1	yes	characteristic
272	C₂×#117	C₂³	1	1	yes	characteristic
273	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
274	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
275	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
276	C₂²×C₄²	C₂³	1	1	yes	characteristic
277	#436	—	2	4	no	—
278	#436	—	2	4	no	—
279	#436	—	2	4	no	—
280	#436	—	2	4	no	—
281	#436	—	4	2	no	—
282	#435	—	2	4	no	—
283	#435	—	2	4	no	—
284	#435	—	2	4	no	—
285	#435	—	2	4	no	—
286	#435	—	2	4	no	—
287	#435	—	2	4	no	—
288	#435	—	2	4	no	—
289	#435	—	2	4	no	—
290	#435	—	4	2	no	—
291	#435	—	4	2	no	—
292	C₈×D₄	—	2	4	no	—
293	C₈×D₄	—	2	4	no	—
294	C₈×D₄	—	2	4	no	—
295	C₈×D₄	—	2	4	no	—
296	C₈×D₄	—	4	2	no	—
297	#424	—	2	4	no	—
298	#423	—	2	4	no	—
299	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	#408	—	2	4	no	—
316	#407	—	2	4	no	—
317	#407	—	2	4	no	—
318	#407	—	2	4	no	—
319	C₂×C₂²⋊C₈	—	2	4	no	—
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
350	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	#405	—	2	4	no	—
357	#405	—	4	2	no	—
358	#405	—	4	2	no	—
359	C₄×M₁₆	—	2	4	no	—
360	C₂×#97	C₂³	1	1	yes	characteristic
361	C₂×#97	C₂³	1	1	yes	characteristic
362	C₂×#97	C₂³	1	1	yes	characteristic
363	C₂×#97	C₂³	1	1	yes	characteristic
364	C₂×#97	C₂³	1	1	yes	characteristic
365	C₂×#97	C₂³	1	1	yes	characteristic
366	C₂×#97	C₂³	1	1	yes	characteristic
367	C₂×#97	C₂³	1	1	yes	characteristic
368	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
369	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
370	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
371	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
372	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
373	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
374	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
375	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
376	#400	C₂×C₄	1	1	yes	characteristic
377	#400	C₂×C₄	1	1	yes	characteristic
378	#399	C₂×C₄	1	1	yes	characteristic
379	#399	C₂×C₄	1	1	yes	characteristic
380	#398	C₂×C₄	1	1	yes	characteristic
381	#398	C₂×C₄	1	1	yes	characteristic
382	#398	C₂×C₄	1	1	yes	characteristic
383	#398	C₂×C₄	1	1	yes	characteristic
384	#398	C₂×C₄	1	1	yes	characteristic
385	#398	C₂×C₄	1	1	yes	characteristic
386	#397	C₂×C₄	1	1	yes	characteristic
387	#397	C₂×C₄	1	1	yes	characteristic
388	#397	C₂×C₄	1	1	yes	characteristic
389	#397	C₂×C₄	1	1	yes	characteristic
390	#397	C₂×C₄	1	1	yes	characteristic
391	#397	C₂×C₄	1	1	yes	characteristic
392	#397	C₂×C₄	1	1	yes	characteristic
393	#397	C₂×C₄	1	1	yes	characteristic
394	#397	C₂×C₄	1	1	yes	characteristic
395	#397	C₂×C₄	1	1	yes	characteristic
396	#396	C₂×C₄	1	1	yes	characteristic
397	#396	C₂×C₄	1	1	yes	characteristic
398	#396	C₂×C₄	1	1	yes	characteristic
399	#396	C₂×C₄	1	1	yes	characteristic
400	#396	C₂×C₄	1	1	yes	characteristic
401	#396	C₂×C₄	1	1	yes	characteristic
402	#396	C₂×C₄	1	1	yes	characteristic
403	#396	C₂×C₄	1	1	yes	characteristic
404	#395	C₂×C₄	1	1	yes	characteristic
405	#395	C₂×C₄	1	1	yes	characteristic
406	#394	C₂×C₄	1	1	yes	characteristic
407	#394	C₂×C₄	1	1	yes	characteristic
408	#394	C₂×C₄	1	1	yes	characteristic
409	#394	C₂×C₄	1	1	yes	characteristic
410	#394	C₂×C₄	1	1	yes	characteristic
411	#394	C₂×C₄	1	1	yes	characteristic
412	#394	C₂×C₄	1	1	yes	characteristic
413	#394	C₂×C₄	1	1	yes	characteristic
414	#394	C₂×C₄	1	1	yes	characteristic
415	#394	C₂×C₄	1	1	yes	characteristic
416	#394	C₂×C₄	1	1	yes	characteristic
417	#394	C₂×C₄	1	1	yes	characteristic
418	#394	C₂×C₄	1	1	yes	characteristic
419	#394	C₂×C₄	1	1	yes	characteristic
420	#394	C₂×C₄	1	1	yes	characteristic
421	#394	C₂×C₄	1	1	yes	characteristic
422	#394	C₂×C₄	1	1	yes	characteristic
423	#394	C₂×C₄	1	1	yes	characteristic
424	#394	C₂×C₄	1	1	yes	characteristic
425	#394	C₂×C₄	1	1	yes	characteristic
426	#394	C₂×C₄	1	1	yes	characteristic
427	#394	C₂×C₄	1	1	yes	characteristic
428	#393	C₂×C₄	1	1	yes	characteristic
429	#393	C₂×C₄	1	1	yes	characteristic
430	#392	C₂×C₄	1	1	yes	characteristic
431	#392	C₂×C₄	1	1	yes	characteristic
432	#392	C₂×C₄	1	1	yes	characteristic
433	#392	C₂×C₄	1	1	yes	characteristic
434	#392	C₂×C₄	1	1	yes	characteristic
435	#392	C₂×C₄	1	1	yes	characteristic
436	#392	C₂×C₄	1	1	yes	characteristic
437	#392	C₂×C₄	1	1	yes	characteristic
438	#392	C₂×C₄	1	1	yes	characteristic
439	#392	C₂×C₄	1	1	yes	characteristic
440	#388	C₂×C₄	1	1	yes	characteristic
441	#388	C₂×C₄	1	1	yes	characteristic
442	#388	C₂×C₄	1	1	yes	characteristic
443	#388	C₂×C₄	1	1	yes	characteristic
444	#387	C₂×C₄	1	1	yes	characteristic
445	#387	C₂×C₄	1	1	yes	characteristic
446	#387	C₂×C₄	1	1	yes	characteristic
447	#387	C₂×C₄	1	1	yes	characteristic
448	#386	C₂×C₄	1	1	yes	characteristic
449	#386	C₂×C₄	1	1	yes	characteristic
450	#386	C₂×C₄	1	1	yes	characteristic
451	#386	C₂×C₄	1	1	yes	characteristic
452	#386	C₂×C₄	1	1	yes	characteristic
453	#386	C₂×C₄	1	1	yes	characteristic
454	#386	C₂×C₄	1	1	yes	characteristic
455	#386	C₂×C₄	1	1	yes	characteristic
456	#385	C₂×C₄	1	1	yes	characteristic
457	#385	C₂×C₄	1	1	yes	characteristic
458	#385	C₂×C₄	1	1	yes	characteristic
459	#385	C₂×C₄	1	1	yes	characteristic
460	#385	C₂×C₄	1	1	yes	characteristic
461	#385	C₂×C₄	1	1	yes	characteristic
462	#385	C₂×C₄	1	1	yes	characteristic
463	#385	C₂×C₄	1	1	yes	characteristic
464	#381	C₂×C₄	1	1	yes	characteristic
465	#381	C₂×C₄	1	1	yes	characteristic
466	#381	C₂×C₄	1	1	yes	characteristic
467	#381	C₂×C₄	1	1	yes	characteristic
468	#380	C₂×C₄	1	1	yes	characteristic
469	#380	C₂×C₄	1	1	yes	characteristic
470	#380	C₂×C₄	1	1	yes	characteristic
471	#380	C₂×C₄	1	1	yes	characteristic
472	#379	C₂×C₄	1	1	yes	characteristic
473	#379	C₂×C₄	1	1	yes	characteristic
474	#379	C₂×C₄	1	1	yes	characteristic
475	#379	C₂×C₄	1	1	yes	characteristic
476	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
477	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
478	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
484	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
485	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
486	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
488	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
489	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
490	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
491	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	#336	C₂³	1	1	yes	characteristic
516	#336	C₂³	1	1	yes	characteristic
517	#336	C₂³	1	1	yes	characteristic
518	#336	C₂³	1	1	yes	characteristic
519	#336	C₂³	1	1	yes	characteristic
520	#336	C₂³	1	1	yes	characteristic
521	#336	C₂³	1	1	yes	characteristic
522	#336	C₂³	1	1	yes	characteristic
523	#336	C₂³	1	1	yes	characteristic
524	C₂⁵	C₂²×C₄	1	1	yes	characteristic
525	C₂⁵	C₂²×C₄	1	1	yes	characteristic
526	C₂×#41	—	2	2	no	—
527	C₂×#41	—	2	2	no	—
528	C₂×#41	—	4	1	no	—
529	C₂×#41	—	4	1	no	—
530	C₂×#41	—	4	1	no	—
531	C₂×#41	—	4	1	no	—
532	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
533	C₂²×D₄	—	2	4	no	—
534	C₂²×D₄	—	4	2	no	—
535	C₂²×D₄	—	4	2	no	—
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	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
542	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
543	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
544	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
545	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
546	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
547	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
548	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
549	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
550	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
551	C₂³×C₄	—	2	2	no	—
552	C₂³×C₄	—	2	2	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	C₂²×C₄	1	1	yes	characteristic
562	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
563	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
564	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
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	C₂×D₄	1	4	yes	—
570	C₂³×C₄	#41	1	4	yes	—
571	C₂³×C₄	C₂⁴	1	1	yes	characteristic
572	C₂³×C₄	C₂⁴	1	1	yes	characteristic
573	C₂³×C₄	C₂⁴	1	1	yes	characteristic
574	C₂³×C₄	C₂⁴	1	1	yes	characteristic
575	C₂³×C₄	C₂⁴	1	1	yes	characteristic
576	C₂³×C₄	C₂⁴	1	1	yes	characteristic
577	C₂³×C₄	C₂⁴	1	1	yes	characteristic
578	#131	—	4	16	no	—
579	C₂×M₁₆	—	2	2	no	—
580	C₂×M₁₆	—	2	2	no	—
581	C₂×M₁₆	—	2	2	no	—
582	C₂×M₁₆	—	2	2	no	—
583	C₂×M₁₆	—	2	2	no	—
584	C₂×M₁₆	—	2	2	no	—
585	C₂×M₁₆	—	2	2	no	—
586	C₂×M₁₆	—	2	2	no	—
587	C₂×M₁₆	—	2	2	no	—
588	C₂×M₁₆	—	2	2	no	—
589	C₂×M₁₆	—	2	2	no	—
590	C₂×M₁₆	—	2	2	no	—
591	C₂×M₁₆	—	2	2	no	—
592	C₂×M₁₆	—	2	2	no	—
593	C₂×M₁₆	—	2	2	no	—
594	C₂×M₁₆	—	2	2	no	—
595	C₂×M₁₆	—	4	1	no	—
596	C₂×M₁₆	—	4	1	no	—
597	C₂×M₁₆	—	4	1	no	—
598	C₂×M₁₆	—	4	1	no	—
599	C₂×M₁₆	—	4	1	no	—
600	C₂×M₁₆	—	4	1	no	—
601	C₂×M₁₆	—	4	1	no	—
602	C₂×M₁₆	—	4	1	no	—
603	C₂×M₁₆	—	4	1	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	16	no	—
612	C₂×M₁₆	—	4	16	no	—
613	C₂×M₁₆	C₂×D₄	1	4	yes	—
614	C₂×M₁₆	C₂×D₄	1	4	yes	—
615	C₂×M₁₆	C₂×D₄	1	4	yes	—
616	C₂×M₁₆	C₂×D₄	1	4	yes	—
617	C₂²×C₈	—	2	2	no	—
618	C₂²×C₈	—	2	2	no	—
619	C₂²×C₈	—	2	2	no	—
620	C₂²×C₈	—	2	2	no	—
621	C₂²×C₈	—	2	2	no	—
622	C₂²×C₈	—	2	2	no	—
623	C₂²×C₈	—	2	2	no	—
624	C₂²×C₈	—	2	2	no	—
625	C₂²×C₈	—	2	2	no	—
626	C₂²×C₈	—	2	2	no	—
627	C₂²×C₈	—	2	2	no	—
628	C₂²×C₈	—	2	2	no	—
629	C₂²×C₈	—	4	1	no	—
630	C₂²×C₈	—	4	1	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	C₂×D₄	1	4	yes	—
640	C₂²×C₈	C₂×D₄	1	4	yes	—
641	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	#123	—	2	4	no	—
658	#123	—	2	4	no	—
659	#123	—	4	2	no	—
660	#123	—	4	2	no	—
661	C₂²⋊Q₈	—	2	4	no	—
662	C₂²⋊Q₈	—	2	4	no	—
663	#121	—	2	4	no	—
664	#121	—	2	4	no	—
665	#120	—	2	4	no	—
666	#120	—	2	4	no	—
667	#120	—	4	2	no	—
668	#120	—	4	2	no	—
669	C₄×D₄	—	2	4	no	—
670	C₄×D₄	—	2	4	no	—
671	C₄×D₄	—	2	4	no	—
672	C₄×D₄	—	2	4	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	2	no	—
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	2	no	—
688	C₄×D₄	—	2	2	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	#117	—	2	2	no	—
698	#117	—	2	2	no	—
699	#117	—	4	1	no	—
700	#117	—	4	1	no	—
701	#117	—	4	1	no	—
702	#117	—	4	1	no	—
703	C₂×C₄⋊C₄	—	2	4	no	—
704	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
731	C₂×C₂²⋊C₄	—	2	4	no	—
732	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₂×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×C₄²	—	2	2	no	—
787	C₂×C₄²	—	2	2	no	—
788	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
789	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
790	C₂×C₄²	C₂⁴	1	1	yes	characteristic
791	C₂×C₄²	C₂⁴	1	1	yes	characteristic
792	C₂×C₄²	C₂⁴	1	1	yes	characteristic
793	C₂×C₄²	C₂⁴	1	1	yes	characteristic
794	C₂×C₄²	C₂⁴	1	1	yes	characteristic
795	C₂×C₄²	C₂⁴	1	1	yes	characteristic
796	C₂×C₄²	C₂⁴	1	1	yes	characteristic
797	C₂×C₄²	C₂⁴	1	1	yes	characteristic
798	C₄⋊C₈	—	2	2	no	—
799	C₄⋊C₈	—	2	2	no	—
800	C₄⋊C₈	—	2	2	no	—
801	C₄⋊C₈	—	2	2	no	—
802	C₄⋊C₈	—	2	2	no	—
803	C₄⋊C₈	—	2	2	no	—
804	C₄⋊C₈	—	2	2	no	—
805	C₄⋊C₈	—	2	2	no	—
806	C₄⋊C₈	—	4	1	no	—
807	C₄⋊C₈	—	4	1	no	—
808	C₄⋊C₈	—	4	1	no	—
809	C₄⋊C₈	—	4	1	no	—
810	C₄⋊C₈	—	4	1	no	—
811	C₄⋊C₈	—	4	1	no	—
812	C₄⋊C₈	—	4	1	no	—
813	C₄⋊C₈	—	4	1	no	—
814	C₂²⋊C₈	—	2	2	no	—
815	C₂²⋊C₈	—	2	2	no	—
816	C₂²⋊C₈	—	2	2	no	—
817	C₂²⋊C₈	—	2	2	no	—
818	C₂²⋊C₈	—	2	2	no	—
819	C₂²⋊C₈	—	2	2	no	—
820	C₂²⋊C₈	—	2	2	no	—
821	C₂²⋊C₈	—	2	2	no	—
822	C₂²⋊C₈	—	2	2	no	—
823	C₂²⋊C₈	—	2	2	no	—
824	C₂²⋊C₈	—	2	2	no	—
825	C₂²⋊C₈	—	2	2	no	—
826	C₂²⋊C₈	—	2	2	no	—
827	C₂²⋊C₈	—	2	2	no	—
828	C₂²⋊C₈	—	2	2	no	—
829	C₂²⋊C₈	—	2	2	no	—
830	C₂²⋊C₈	—	2	2	no	—
831	C₂²⋊C₈	—	2	2	no	—
832	C₂²⋊C₈	—	2	2	no	—
833	C₂²⋊C₈	—	2	2	no	—
834	C₂²⋊C₈	—	4	1	no	—
835	C₂²⋊C₈	—	4	1	no	—
836	C₂²⋊C₈	—	4	1	no	—
837	C₂²⋊C₈	—	4	1	no	—
838	C₂²⋊C₈	—	4	1	no	—
839	C₂²⋊C₈	—	4	1	no	—
840	C₂²⋊C₈	—	4	1	no	—
841	C₂²⋊C₈	—	4	1	no	—
842	C₂²⋊C₈	—	4	1	no	—
843	C₂²⋊C₈	—	4	1	no	—
844	C₂²⋊C₈	—	4	1	no	—
845	C₂²⋊C₈	—	4	1	no	—
846	C₂²⋊C₈	—	4	1	no	—
847	C₂²⋊C₈	—	4	1	no	—
848	C₂²⋊C₈	—	4	1	no	—
849	C₂²⋊C₈	—	4	1	no	—
850	#97	—	2	2	no	—
851	#97	—	2	2	no	—
852	#97	—	2	2	no	—
853	#97	—	2	2	no	—
854	#97	—	2	2	no	—
855	#97	—	2	2	no	—
856	#97	—	4	1	no	—
857	#97	—	4	1	no	—
858	C₄×C₈	—	2	2	no	—
859	C₄×C₈	—	2	2	no	—
860	C₄×C₈	—	2	2	no	—
861	C₄×C₈	—	2	2	no	—
862	C₄×C₈	—	2	2	no	—
863	C₄×C₈	—	2	2	no	—
864	C₄×C₈	—	4	1	no	—
865	C₄×C₈	—	4	1	no	—
866	#95	C₂²×C₄	1	1	yes	characteristic
867	#95	C₂²×C₄	1	1	yes	characteristic
868	#95	C₂²×C₄	1	1	yes	characteristic
869	#95	C₂²×C₄	1	1	yes	characteristic
870	#95	C₂²×C₄	1	1	yes	characteristic
871	#95	C₂²×C₄	1	1	yes	characteristic
872	#95	C₂²×C₄	1	1	yes	characteristic
873	#95	C₂²×C₄	1	1	yes	characteristic
874	#95	C₂²×C₄	1	1	yes	characteristic
875	#95	C₂²×C₄	1	1	yes	characteristic
876	#95	C₂²×C₄	1	1	yes	characteristic
877	#95	C₂²×C₄	1	1	yes	characteristic
878	#95	C₂²×C₄	1	1	yes	characteristic
879	#95	C₂²×C₄	1	1	yes	characteristic
880	#95	C₂²×C₄	1	1	yes	characteristic
881	#95	C₂²×C₄	1	1	yes	characteristic
882	#95	C₂²×C₄	1	1	yes	characteristic
883	#95	C₂²×C₄	1	1	yes	characteristic
884	#95	C₂²×C₄	1	1	yes	characteristic
885	#95	C₂²×C₄	1	1	yes	characteristic
886	#95	C₂²×C₄	1	1	yes	characteristic
887	#95	C₂²×C₄	1	1	yes	characteristic
888	#95	C₂²×C₄	1	1	yes	characteristic
889	#95	C₂²×C₄	1	1	yes	characteristic
890	#95	C₂²×C₄	1	1	yes	characteristic
891	#95	C₂²×C₄	1	1	yes	characteristic
892	#95	C₂²×C₄	1	1	yes	characteristic
893	#95	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	—	2	2	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	4	1	no	—
901	C₂⁴	—	4	1	no	—
902	C₂⁴	—	4	1	no	—
903	C₂⁴	—	4	1	no	—
904	C₂⁴	—	4	1	no	—
905	C₂⁴	—	4	1	no	—
906	C₂⁴	—	4	1	no	—
907	C₂⁴	—	4	1	no	—
908	C₂⁴	—	4	1	no	—
909	C₂⁴	—	4	1	no	—
910	C₂⁴	—	4	1	no	—
911	C₂⁴	C₄×D₄	1	4	yes	—
912	C₂⁴	C₂³×C₄	1	1	yes	characteristic
913	C₂⁴	C₂³×C₄	1	1	yes	characteristic
914	C₂⁴	C₂³×C₄	1	1	yes	characteristic
915	C₂⁴	C₂³×C₄	1	1	yes	characteristic
916	C₂⁴	C₂³×C₄	1	1	yes	characteristic
917	C₂⁴	C₂³×C₄	1	1	yes	characteristic
918	C₂⁴	C₂³×C₄	1	1	yes	characteristic
919	#41	—	4	4	no	—
920	#41	—	4	4	no	—
921	#41	—	4	4	no	—
922	#41	—	4	4	no	—
923	C₂×Q₈	—	2	2	no	—
924	C₂×Q₈	—	4	1	no	—
925	C₂×Q₈	—	4	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	1	no	—
945	C₂×D₄	—	4	1	no	—
946	C₂×D₄	—	4	1	no	—
947	C₂×D₄	—	4	1	no	—
948	C₂×D₄	—	4	1	no	—
949	C₂×D₄	—	4	1	no	—
950	C₂×D₄	—	4	1	no	—
951	C₂×D₄	—	4	1	no	—
952	C₂×D₄	—	4	1	no	—
953	C₂×D₄	—	4	1	no	—
954	C₂×D₄	—	4	1	no	—
955	C₂×D₄	—	4	1	no	—
956	C₂×D₄	—	4	1	no	—
957	C₂×D₄	—	4	1	no	—
958	C₂×D₄	—	4	1	no	—
959	C₂×D₄	—	4	1	no	—
960	C₂×D₄	—	4	1	no	—
961	C₂×D₄	—	4	1	no	—
962	C₂×D₄	—	4	1	no	—
963	C₂×D₄	—	4	1	no	—
964	C₂×D₄	—	4	1	no	—
965	C₂×D₄	—	4	1	no	—
966	C₂×D₄	—	4	1	no	—
967	C₂×D₄	—	4	1	no	—
968	C₂×D₄	—	4	1	no	—
969	C₂×D₄	—	4	1	no	—
970	C₂×D₄	—	4	1	no	—
971	C₂×D₄	—	4	16	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	1	no	—
978	C₂²×C₄	—	2	1	no	—
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	1	no	—
981	C₂²×C₄	—	2	1	no	—
982	C₂²×C₄	—	2	1	no	—
983	C₂²×C₄	—	2	1	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	1	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	1	no	—
1000	C₂²×C₄	—	2	1	no	—
1001	C₂²×C₄	—	2	1	no	—
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	1	no	—
1011	C₂²×C₄	—	2	1	no	—
1012	C₂²×C₄	—	2	1	no	—
1013	C₂²×C₄	—	2	1	no	—
1014	C₂²×C₄	—	4	4	no	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	4	1	no	—
1020	C₂²×C₄	—	4	1	no	—
1021	C₂²×C₄	—	4	1	no	—
1022	C₂²×C₄	—	4	1	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	4	1	no	—
1025	C₂²×C₄	—	4	1	no	—
1026	C₂²×C₄	—	4	1	no	—
1027	C₂²×C₄	—	4	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	4	1	no	—
1032	C₂²×C₄	—	4	1	no	—
1033	C₂²×C₄	—	4	4	no	—
1034	C₂²×C₄	—	4	4	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	C₄×D₄	1	4	yes	—
1038	C₂²×C₄	C₄×D₄	1	4	yes	—
1039	C₂²×C₄	C₄×D₄	1	4	yes	—
1040	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1063	C₂²×C₄	C₂²×D₄	1	2	yes	—
1064	C₂²×C₄	C₂²×D₄	1	2	yes	—
1065	C₂²×C₄	C₂²×D₄	1	2	yes	—
1066	C₂²×C₄	C₂×#41	1	2	yes	—
1067	C₂²×C₄	C₂×#41	1	2	yes	—
1068	C₂²×C₄	C₂×#41	1	2	yes	—
1069	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1070	M₁₆	—	2	8	no	—
1071	M₁₆	—	2	8	no	—
1072	M₁₆	—	4	4	no	—
1073	M₁₆	—	4	4	no	—
1074	M₁₆	—	4	4	no	—
1075	M₁₆	—	4	4	no	—
1076	M₁₆	—	4	4	no	—
1077	M₁₆	—	4	4	no	—
1078	M₁₆	—	4	4	no	—
1079	M₁₆	—	4	4	no	—
1080	M₁₆	—	4	4	no	—
1081	M₁₆	—	4	4	no	—
1082	C₂×C₈	—	2	1	no	—
1083	C₂×C₈	—	2	1	no	—
1084	C₂×C₈	—	2	1	no	—
1085	C₂×C₈	—	2	1	no	—
1086	C₂×C₈	—	2	1	no	—
1087	C₂×C₈	—	2	1	no	—
1088	C₂×C₈	—	2	8	no	—
1089	C₂×C₈	—	2	1	no	—
1090	C₂×C₈	—	2	1	no	—
1091	C₂×C₈	—	2	1	no	—
1092	C₂×C₈	—	2	1	no	—
1093	C₂×C₈	—	2	1	no	—
1094	C₂×C₈	—	2	1	no	—
1095	C₂×C₈	—	2	1	no	—
1096	C₂×C₈	—	2	1	no	—
1097	C₂×C₈	—	2	1	no	—
1098	C₂×C₈	—	2	1	no	—
1099	C₂×C₈	—	2	1	no	—
1100	C₂×C₈	—	2	1	no	—
1101	C₂×C₈	—	2	1	no	—
1102	C₂×C₈	—	2	1	no	—
1103	C₂×C₈	—	2	1	no	—
1104	C₂×C₈	—	2	1	no	—
1105	C₂×C₈	—	2	1	no	—
1106	C₂×C₈	—	2	1	no	—
1107	C₂×C₈	—	2	1	no	—
1108	C₂×C₈	—	2	1	no	—
1109	C₂×C₈	—	2	1	no	—
1110	C₂×C₈	—	2	1	no	—
1111	C₂×C₈	—	2	1	no	—
1112	C₂×C₈	—	2	1	no	—
1113	C₂×C₈	—	2	1	no	—
1114	C₂×C₈	—	2	1	no	—
1115	C₂×C₈	—	2	1	no	—
1116	C₂×C₈	—	2	1	no	—
1117	C₂×C₈	—	2	1	no	—
1118	C₂×C₈	—	2	1	no	—
1119	C₂×C₈	—	2	1	no	—
1120	C₂×C₈	—	2	1	no	—
1121	C₂×C₈	—	2	1	no	—
1122	C₂×C₈	—	2	1	no	—
1123	C₂×C₈	—	2	1	no	—
1124	C₂×C₈	—	2	1	no	—
1125	C₂×C₈	—	4	4	no	—
1126	C₂×C₈	—	4	4	no	—
1127	C₂×C₈	—	4	4	no	—
1128	C₂×C₈	—	4	4	no	—
1129	C₂×C₈	—	4	4	no	—
1130	C₂×C₈	—	4	4	no	—
1131	C₂×C₈	—	4	4	no	—
1132	C₂×C₈	C₂²×D₄	1	2	yes	—
1133	C₂×C₈	C₂²×D₄	1	2	yes	—
1134	C₂×C₈	C₂²×D₄	1	2	yes	—
1135	C₂×C₈	C₂²×D₄	1	2	yes	—
1136	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1137	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1138	C₄⋊C₄	—	2	2	no	—
1139	C₄⋊C₄	—	2	2	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	2	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	4	1	no	—
1151	C₄⋊C₄	—	4	1	no	—
1152	C₄⋊C₄	—	4	1	no	—
1153	C₄⋊C₄	—	4	1	no	—
1154	C₄⋊C₄	—	4	1	no	—
1155	C₄⋊C₄	—	4	1	no	—
1156	C₄⋊C₄	—	4	1	no	—
1157	C₄⋊C₄	—	4	1	no	—
1158	C₄⋊C₄	—	4	1	no	—
1159	C₄⋊C₄	—	4	1	no	—
1160	C₄⋊C₄	—	4	1	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	2	2	no	—
1165	C₂²⋊C₄	—	2	2	no	—
1166	C₂²⋊C₄	—	2	2	no	—
1167	C₂²⋊C₄	—	2	2	no	—
1168	C₂²⋊C₄	—	2	2	no	—
1169	C₂²⋊C₄	—	2	2	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	2	no	—
1174	C₂²⋊C₄	—	2	2	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	2	no	—
1177	C₂²⋊C₄	—	2	2	no	—
1178	C₂²⋊C₄	—	2	2	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	4	1	no	—
1187	C₂²⋊C₄	—	4	1	no	—
1188	C₂²⋊C₄	—	4	1	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	—	4	1	no	—
1194	C₂²⋊C₄	—	4	1	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	4	1	no	—
1203	C₂²⋊C₄	—	4	1	no	—
1204	C₂²⋊C₄	—	4	1	no	—
1205	C₂²⋊C₄	—	4	1	no	—
1206	C₂²⋊C₄	—	4	1	no	—
1207	C₂²⋊C₄	—	4	1	no	—
1208	C₂²⋊C₄	—	4	1	no	—
1209	C₂²⋊C₄	—	4	1	no	—
1210	C₂²⋊C₄	—	4	1	no	—
1211	C₂²⋊C₄	—	4	1	no	—
1212	C₂²⋊C₄	—	4	1	no	—
1213	C₂²⋊C₄	—	4	1	no	—
1214	C₂²⋊C₄	—	4	1	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₄²	—	2	2	no	—
1219	C₄²	—	2	2	no	—
1220	C₄²	—	2	1	no	—
1221	C₄²	—	2	1	no	—
1222	C₄²	—	2	1	no	—
1223	C₄²	—	2	1	no	—
1224	C₄²	—	2	1	no	—
1225	C₄²	—	2	1	no	—
1226	C₄²	—	2	1	no	—
1227	C₄²	—	2	1	no	—
1228	C₄²	—	2	1	no	—
1229	C₄²	—	2	1	no	—
1230	C₄²	—	2	1	no	—
1231	C₄²	—	2	1	no	—
1232	C₄²	—	2	1	no	—
1233	C₄²	—	2	1	no	—
1234	C₄²	—	2	1	no	—
1235	C₄²	—	2	1	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	1	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	1	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	1	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	4	4	no	—
1282	C₂³	—	4	4	no	—
1283	C₂³	—	4	4	no	—
1284	C₂³	—	4	4	no	—
1285	C₂³	—	4	4	no	—
1286	C₂³	—	8	2	no	—
1287	C₂³	—	8	2	no	—
1288	C₂³	—	8	2	no	—
1289	C₂³	—	8	2	no	—
1290	C₂³	—	8	2	no	—
1291	C₂³	—	8	2	no	—
1292	C₂³	—	8	2	no	—
1293	C₂³	—	8	2	no	—
1294	C₂³	—	8	2	no	—
1295	C₂³	C₂×C₄×D₄	1	2	yes	—
1296	C₂³	C₂×C₄×D₄	1	2	yes	—
1297	C₂³	C₂×C₄×D₄	1	2	yes	—
1298	C₂³	#568	1	2	yes	—
1299	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1300	Q₈	—	4	4	no	—
1301	D₄	—	2	8	no	—
1302	D₄	—	4	4	no	—
1303	D₄	—	4	4	no	—
1304	D₄	—	4	4	no	—
1305	D₄	—	4	4	no	—
1306	D₄	—	4	4	no	—
1307	D₄	—	4	4	no	—
1308	D₄	—	4	4	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	8	2	no	—
1312	D₄	—	8	2	no	—
1313	D₄	—	8	2	no	—
1314	D₄	—	8	2	no	—
1315	D₄	—	8	2	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	4	4	no	—
1394	C₂×C₄	—	4	4	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	—	4	4	no	—
1397	C₂×C₄	—	4	4	no	—
1398	C₂×C₄	—	4	4	no	—
1399	C₂×C₄	—	4	4	no	—
1400	C₂×C₄	—	4	1	no	—
1401	C₂×C₄	—	4	1	no	—
1402	C₂×C₄	—	4	1	no	—
1403	C₂×C₄	—	4	1	no	—
1404	C₂×C₄	—	4	1	no	—
1405	C₂×C₄	—	4	1	no	—
1406	C₂×C₄	—	4	1	no	—
1407	C₂×C₄	—	4	1	no	—
1408	C₂×C₄	—	4	1	no	—
1409	C₂×C₄	—	4	1	no	—
1410	C₂×C₄	—	4	1	no	—
1411	C₂×C₄	—	4	1	no	—
1412	C₂×C₄	—	4	1	no	—
1413	C₂×C₄	—	4	1	no	—
1414	C₂×C₄	—	4	1	no	—
1415	C₂×C₄	—	4	1	no	—
1416	C₂×C₄	—	8	2	no	—
1417	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1418	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1419	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1420	C₂×C₄	#568	1	2	yes	—
1421	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1422	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1423	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1424	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1425	C₂×C₄	#585	1	1	yes	characteristic
1426	C₂×C₄	#585	1	1	yes	characteristic
1427	C₈	—	2	2	no	—
1428	C₈	—	2	2	no	—
1429	C₈	—	2	2	no	—
1430	C₈	—	4	1	no	—
1431	C₈	—	4	1	no	—
1432	C₈	—	4	1	no	—
1433	C₈	—	4	1	no	—
1434	C₈	—	4	1	no	—
1435	C₈	—	4	1	no	—
1436	C₈	—	4	1	no	—
1437	C₈	—	4	1	no	—
1438	C₈	—	4	1	no	—
1439	C₈	—	4	1	no	—
1440	C₈	—	4	1	no	—
1441	C₈	—	4	1	no	—
1442	C₈	#534	1	4	yes	—
1443	C₂²	—	2	2	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	8	8	no	—
1493	C₂²	—	8	8	no	—
1494	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1495	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1496	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1497	C₂²	C₂×#568	1	1	yes	characteristic
1498	C₂²	C₂×#568	1	1	yes	characteristic
1499	C₂²	#3573	1	1	yes	characteristic
1500	C₂²	#3573	1	1	yes	characteristic
1501	C₄	—	2	2	no	—
1502	C₄	—	2	2	no	—
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₄	—	4	1	no	—
1524	C₄	C₂×#534	1	1	yes	characteristic
1525	C₄	#3449	1	1	yes	characteristic
1526	C₄	#3459	1	1	yes	characteristic
1527	C₄	#3459	1	1	yes	characteristic
1528	C₂	—	4	2	no	—
1529	C₂	—	4	2	no	—
1530	C₂	—	4	2	no	—
1531	C₂	—	4	2	no	—
1532	C₂	—	8	1	no	—
1533	C₂	—	8	1	no	—
1534	C₂	—	8	1	no	—
1535	C₂	C₄×#534	1	1	yes	characteristic
1536	C₂	#60141	1	1	yes	characteristic
1537	C₂	#60142	1	1	yes	characteristic
1538	C₂	#60313	1	1	yes	characteristic
1539	C₂	#60319	1	1	yes	characteristic
1540	C₂	#60322	1	1	yes	characteristic
1541	C₂	#60326	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#34562	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×D₄×M₁₆	C₂	semidirect
2. C₂×#2933	C₂	semidirect
4. #22177	C₂	semidirect
5. #22173	C₂	semidirect
6. #22173	C₂	semidirect
7. #22169	C₂	semidirect
8. #22074	C₂	semidirect
9. #22073	C₂	semidirect
10. #22072	C₂	semidirect
11. #22071	C₂	semidirect
12. #22039	C₂	semidirect
13. #22038	C₂	semidirect
14. #22037	C₂	semidirect
15. #22036	C₂	semidirect
16. #21933	C₂	semidirect
17. #21743	C₂	semidirect
18. #21740	C₂	semidirect
19. #21571	C₂	semidirect
20. #21568	C₂	semidirect
21. #21565	C₂	semidirect
22. #21562	C₂	semidirect
23. #21495	C₂	semidirect
24. #21495	C₂	semidirect
25. #21493	C₂	semidirect
26. #21491	C₂	semidirect
27. #21445	C₂	semidirect
28. #21443	C₂	semidirect
29. #21441	C₂	semidirect
30. #21439	C₂	semidirect
31. #20386	C₂	semidirect
32. C₂²×#131	C₂²	semidirect
43. C₂×#436	C₂²	semidirect
50. C₂×#435	C₂²	semidirect
51. C₂×#435	C₂²	semidirect
52. C₂×#435	C₂²	semidirect
53. C₂×#435	C₂²	semidirect
56. C₂×C₈×D₄	C₂²	semidirect
57. C₂×C₈×D₄	C₂²	semidirect
58. C₂×C₈×D₄	C₂²	semidirect
59. C₂×#424	C₂²	semidirect
61. C₂×#408	C₂²	semidirect
66. C₂×#405	C₂²	semidirect
67. C₂×#405	C₂²	semidirect
68. C₂×#405	C₂²	semidirect
99. #1955	C₂²	semidirect
100. #1955	C₂²	semidirect
101. #1954	C₂²	semidirect
102. #1954	C₂²	semidirect
103. #1940	C₂²	semidirect
104. #1940	C₂²	semidirect
105. #1939	C₂²	semidirect
106. #1939	C₂²	semidirect
107. #1924	C₂²	semidirect
108. #1924	C₂²	semidirect
109. #1924	C₂²	semidirect
110. #1924	C₂²	semidirect
111. #1924	C₂²	semidirect
112. #1924	C₂²	semidirect
113. #1924	C₂²	semidirect
114. #1924	C₂²	semidirect
115. #1923	C₂²	semidirect
116. #1923	C₂²	semidirect
117. #1923	C₂²	semidirect
118. #1923	C₂²	semidirect
119. #1923	C₂²	semidirect
120. #1923	C₂²	semidirect
121. #1923	C₂²	semidirect
122. #1923	C₂²	semidirect
123. #1917	C₂²	semidirect
124. #1917	C₂²	semidirect
125. #1917	C₂²	semidirect
126. #1917	C₂²	semidirect
127. #1916	C₂²	semidirect
128. #1916	C₂²	semidirect
129. #1916	C₂²	semidirect
130. #1916	C₂²	semidirect
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. #1870	C₂²	semidirect
146. #1870	C₂²	semidirect
151. #1869	C₂²	semidirect
152. #1869	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
159. #1851	C₂²	semidirect
160. #1851	C₂²	semidirect
161. #1851	C₂²	semidirect
162. #1851	C₂²	semidirect
163. #1850	C₂²	semidirect
164. #1850	C₂²	semidirect
165. #1850	C₂²	semidirect
166. #1850	C₂²	semidirect
167. #1850	C₂²	semidirect
168. #1850	C₂²	semidirect
169. #1850	C₂²	semidirect
170. #1850	C₂²	semidirect
171. #1818	C₂²	semidirect
172. #1818	C₂²	semidirect
175. #1798	C₂²	semidirect
176. #1798	C₂²	semidirect
177. #1798	C₂²	semidirect
178. #1798	C₂²	semidirect
179. #1780	C₂²	semidirect
180. #1780	C₂²	semidirect
183. #1771	C₂²	semidirect
184. #1771	C₂²	semidirect
185. #1770	C₂²	semidirect
186. C₈×C₄⋊C₄	C₂²	semidirect
191. #1753	C₂²	semidirect
192. #1753	C₂²	semidirect
193. #1753	C₂²	semidirect
194. #1753	C₂²	semidirect
195. #1753	C₂²	semidirect
196. #1753	C₂²	semidirect
197. #1753	C₂²	semidirect
198. #1753	C₂²	semidirect
199. #1752	C₂²	semidirect
200. #1752	C₂²	semidirect
201. C₈×C₂²⋊C₄	C₂²	semidirect
202. C₈×C₂²⋊C₄	C₂²	semidirect
203. #1729	C₂²	semidirect
204. #1729	C₂²	semidirect
217. C₂²×M₁₆	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₄×M₁₆	2
C₂×#2933	2
#34562	2
#22177	2
#22173	2
#22169	2
#22074	2
#22073	2
#22072	2
#22071	2
#22039	2
#22038	2
#22037	2
#22036	2
#21933	2
#21743	2
#21740	2
#21571	2
#21568	2
#21565	2
#21562	2
#21495	2
#21493	2
#21491	2
#21445	2
#21443	2
#21441	2
#21439	2
#20386	2