Subgroups — #6389044

Order 512.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2976	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2923	C₂	1	1	yes	maximal, characteristic, complemented
3	#34743	C₂	1	1	yes	maximal, characteristic
4	#23088	C₂	1	1	yes	maximal, characteristic, complemented
5	#23086	C₂	1	1	yes	maximal, characteristic, complemented
6	#23086	C₂	1	1	yes	maximal, characteristic, complemented
7	#23084	C₂	1	1	yes	maximal, characteristic, complemented
8	#22994	C₂	1	1	yes	maximal, characteristic, complemented
9	#22993	C₂	1	1	yes	maximal, characteristic, complemented
10	#22992	C₂	1	1	yes	maximal, characteristic, complemented
11	#22991	C₂	1	1	yes	maximal, characteristic, complemented
12	#22557	C₂	1	1	yes	maximal, characteristic, complemented
13	#22557	C₂	1	1	yes	maximal, characteristic, complemented
14	#22555	C₂	1	1	yes	maximal, characteristic, complemented
15	#22554	C₂	1	1	yes	maximal, characteristic, complemented
16	#22403	C₂	1	1	yes	maximal, characteristic, complemented
17	#22402	C₂	1	1	yes	maximal, characteristic, complemented
18	#22400	C₂	1	1	yes	maximal, characteristic, complemented
19	#22398	C₂	1	1	yes	maximal, characteristic, complemented
20	#22142	C₂	1	1	yes	maximal, characteristic, complemented
21	#22142	C₂	1	1	yes	maximal, characteristic, complemented
22	#22140	C₂	1	1	yes	maximal, characteristic, complemented
23	#22134	C₂	1	1	yes	maximal, characteristic, complemented
24	#21958	C₂	1	1	yes	maximal, characteristic, complemented
25	#21792	C₂	1	1	yes	maximal, characteristic, complemented
26	#21489	C₂	1	1	yes	maximal, characteristic, complemented
27	#21489	C₂	1	1	yes	maximal, characteristic, complemented
28	#21488	C₂	1	1	yes	maximal, characteristic, complemented
29	#21486	C₂	1	1	yes	maximal, characteristic, complemented
30	#20720	C₂	1	1	yes	maximal, characteristic, complemented
31	#20541	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#532	C₂²	1	1	yes	characteristic
33	C₂×#525	C₂²	1	1	yes	characteristic
34	C₂×#525	C₂²	1	1	yes	characteristic
35	C₂×C₄×#41	C₂²	1	1	yes	characteristic
36	#2976	—	2	8	no	—
37	C₂×#436	C₂²	1	1	yes	characteristic
38	C₂×#436	C₂²	1	1	yes	characteristic
39	C₂×#436	C₂²	1	1	yes	characteristic
40	C₂×#436	C₂²	1	1	yes	characteristic, complemented
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic
43	C₂×#435	C₂²	1	1	yes	characteristic
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, complemented
48	C₂×#435	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
50	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
53	#2923	—	2	8	no	—
54	C₂×#433	C₂²	1	1	yes	characteristic
55	C₂×#433	C₂²	1	1	yes	characteristic
56	C₂×#433	C₂²	1	1	yes	characteristic
57	C₂×#433	C₂²	1	1	yes	characteristic
58	C₂×#433	C₂²	1	1	yes	characteristic, complemented
59	C₂×#433	C₂²	1	1	yes	characteristic, complemented
60	C₂×#432	C₂²	1	1	yes	characteristic
61	C₂×#432	C₂²	1	1	yes	characteristic
62	C₂×#432	C₂²	1	1	yes	characteristic, complemented
63	C₂×#432	C₂²	1	1	yes	characteristic, complemented
64	C₂×#424	C₂²	1	1	yes	characteristic, complemented
65	C₂×#424	C₂²	1	1	yes	characteristic, complemented
66	C₂×#408	C₂²	1	1	yes	characteristic
67	C₂×#408	C₂²	1	1	yes	characteristic
68	C₂×#408	C₂²	1	1	yes	characteristic
69	C₂×#408	C₂²	1	1	yes	characteristic
70	C₂×#407	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
72	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
73	C₂²×#97	C₂²	1	1	yes	characteristic, complemented
74	#2429	C₄	1	1	yes	characteristic
75	#2429	C₄	1	1	yes	characteristic
76	#2428	C₄	1	1	yes	characteristic
77	#2428	C₄	1	1	yes	characteristic
78	#2427	C₄	1	1	yes	characteristic
79	#2427	C₄	1	1	yes	characteristic
80	#2426	C₄	1	1	yes	characteristic
81	#2426	C₄	1	1	yes	characteristic
82	#2425	C₄	1	1	yes	characteristic
83	#2425	C₄	1	1	yes	characteristic
84	#2425	C₄	1	1	yes	characteristic
85	#2425	C₄	1	1	yes	characteristic
86	#2424	C₄	1	1	yes	characteristic
87	#2424	C₄	1	1	yes	characteristic
88	#2424	C₄	1	1	yes	characteristic
89	#2424	C₄	1	1	yes	characteristic
90	#2392	C₂²	1	1	yes	characteristic
91	#2392	C₂²	1	1	yes	characteristic
92	#2392	C₂²	1	1	yes	characteristic
93	#2392	C₂²	1	1	yes	characteristic
94	C₄×#121	C₂²	1	1	yes	characteristic
95	C₄×#121	C₂²	1	1	yes	characteristic
96	C₄×#121	C₂²	1	1	yes	characteristic
97	C₄×#121	C₂²	1	1	yes	characteristic
98	#2297	C₂²	1	1	yes	characteristic
99	#2296	C₂²	1	1	yes	characteristic
100	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
101	#1955	C₂²	1	1	yes	characteristic
102	#1955	C₂²	1	1	yes	characteristic
103	#1955	C₂²	1	1	yes	characteristic
104	#1955	C₂²	1	1	yes	characteristic
105	#1955	C₂²	1	1	yes	characteristic
106	#1955	C₂²	1	1	yes	characteristic
107	#1955	C₂²	1	1	yes	characteristic, complemented
108	#1955	C₂²	1	1	yes	characteristic, complemented
109	#1954	C₂²	1	1	yes	characteristic
110	#1954	C₂²	1	1	yes	characteristic
111	#1954	C₂²	1	1	yes	characteristic
112	#1954	C₂²	1	1	yes	characteristic
113	#1954	C₂²	1	1	yes	characteristic
114	#1954	C₂²	1	1	yes	characteristic
115	#1954	C₂²	1	1	yes	characteristic, complemented
116	#1954	C₂²	1	1	yes	characteristic, complemented
117	#1940	C₂²	1	1	yes	characteristic, complemented
118	#1940	C₂²	1	1	yes	characteristic, complemented
119	#1940	C₂²	1	1	yes	characteristic, complemented
120	#1940	C₂²	1	1	yes	characteristic, complemented
121	#1939	C₂²	1	1	yes	characteristic, complemented
122	#1939	C₂²	1	1	yes	characteristic, complemented
123	#1939	C₂²	1	1	yes	characteristic, complemented
124	#1939	C₂²	1	1	yes	characteristic, complemented
125	#1924	C₂²	1	1	yes	characteristic
126	#1924	C₂²	1	1	yes	characteristic
127	#1924	C₂²	1	1	yes	characteristic
128	#1924	C₂²	1	1	yes	characteristic
129	#1924	C₂²	1	1	yes	characteristic
130	#1924	C₂²	1	1	yes	characteristic
131	#1924	C₂²	1	1	yes	characteristic, complemented
132	#1924	C₂²	1	1	yes	characteristic, complemented
133	#1924	C₂²	1	1	yes	characteristic, complemented
134	#1924	C₂²	1	1	yes	characteristic, complemented
135	#1924	C₂²	1	1	yes	characteristic, complemented
136	#1924	C₂²	1	1	yes	characteristic, complemented
137	#1923	C₂²	1	1	yes	characteristic
138	#1923	C₂²	1	1	yes	characteristic
139	#1923	C₂²	1	1	yes	characteristic, complemented
140	#1923	C₂²	1	1	yes	characteristic, complemented
141	#1870	C₂²	1	1	yes	characteristic
142	#1870	C₂²	1	1	yes	characteristic
143	#1870	C₂²	1	1	yes	characteristic
144	#1870	C₂²	1	1	yes	characteristic
145	#1870	C₂²	1	1	yes	characteristic, complemented
146	#1870	C₂²	1	1	yes	characteristic, complemented
147	#1870	C₂²	1	1	yes	characteristic, complemented
148	#1870	C₂²	1	1	yes	characteristic, complemented
149	#1869	C₂²	1	1	yes	characteristic
150	#1869	C₂²	1	1	yes	characteristic
151	#1869	C₂²	1	1	yes	characteristic
152	#1869	C₂²	1	1	yes	characteristic
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	#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	#1850	C₂²	1	1	yes	characteristic
162	#1850	C₂²	1	1	yes	characteristic
163	#1850	C₂²	1	1	yes	characteristic, complemented
164	#1850	C₂²	1	1	yes	characteristic, complemented
165	#1817	C₂²	1	1	yes	characteristic
166	#1817	C₂²	1	1	yes	characteristic
167	#1798	C₂²	1	1	yes	characteristic
168	#1798	C₂²	1	1	yes	characteristic
169	#1798	C₂²	1	1	yes	characteristic, complemented
170	#1798	C₂²	1	1	yes	characteristic, complemented
171	#1797	C₂²	1	1	yes	characteristic
172	#1797	C₂²	1	1	yes	characteristic
173	#1797	C₂²	1	1	yes	characteristic, complemented
174	#1797	C₂²	1	1	yes	characteristic, complemented
175	#1780	C₂²	1	1	yes	characteristic
176	#1780	C₂²	1	1	yes	characteristic
177	#1780	C₂²	1	1	yes	characteristic
178	#1780	C₂²	1	1	yes	characteristic
179	#1779	C₂²	1	1	yes	characteristic
180	#1779	C₂²	1	1	yes	characteristic
181	#1771	C₂²	1	1	yes	characteristic, complemented
182	#1771	C₂²	1	1	yes	characteristic, complemented
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	#1770	C₂²	1	1	yes	characteristic, complemented
187	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	#1752	C₂²	1	1	yes	characteristic
194	#1752	C₂²	1	1	yes	characteristic
195	#1752	C₂²	1	1	yes	characteristic, complemented
196	#1752	C₂²	1	1	yes	characteristic, complemented
197	#1750	C₂²	1	1	yes	characteristic
198	#1750	C₂²	1	1	yes	characteristic
199	#1750	C₂²	1	1	yes	characteristic, complemented
200	#1750	C₂²	1	1	yes	characteristic, complemented
201	#1749	C₂²	1	1	yes	characteristic
202	#1749	C₂²	1	1	yes	characteristic, complemented
203	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
204	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
205	C₂²×#41	C₂³	1	1	yes	characteristic
206	C₂²×#41	C₂³	1	1	yes	characteristic
207	C₂⁴×C₄	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂²×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	1	1	yes	characteristic
218	C₂³×C₈	C₂³	1	1	yes	characteristic
219	C₂³×C₈	C₂³	1	1	yes	characteristic
220	#532	—	4	2	no	—
221	#532	—	4	2	no	—
222	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
223	C₂×#127	C₂×C₄	1	1	yes	characteristic
224	C₂×#124	C₂×C₄	1	1	yes	characteristic
225	C₂×#124	C₂×C₄	1	1	yes	characteristic
226	#525	—	2	4	no	—
227	#525	—	2	4	no	—
228	#525	—	4	2	no	—
229	#525	—	4	2	no	—
230	C₂×#123	C₂×C₄	1	1	yes	characteristic
231	C₂×#123	C₂×C₄	1	1	yes	characteristic
232	C₂×#123	C₂×C₄	1	1	yes	characteristic
233	C₂×#123	C₂×C₄	1	1	yes	characteristic
234	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
237	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
238	C₂×#121	C₂×C₄	1	1	yes	characteristic
239	C₂×#121	C₂×C₄	1	1	yes	characteristic
240	C₂×#121	C₂×C₄	1	1	yes	characteristic
241	C₂×#121	C₂×C₄	1	1	yes	characteristic
242	C₂×#121	C₂×C₄	1	1	yes	characteristic
243	C₂×#121	C₂×C₄	1	1	yes	characteristic
244	C₂×#121	C₂×C₄	1	1	yes	characteristic
245	C₂×#121	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×#121	C₂×C₄	1	1	yes	characteristic
249	C₂×#121	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×#120	C₂×C₄	1	1	yes	characteristic
253	C₂×#120	C₂×C₄	1	1	yes	characteristic
254	C₄×#41	—	2	4	no	—
255	C₄×#41	—	2	4	no	—
256	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
257	C₂×C₄×Q₈	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	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×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×#117	C₂³	1	1	yes	characteristic
277	C₂×#117	C₂³	1	1	yes	characteristic
278	C₂×#117	C₂³	1	1	yes	characteristic
279	C₂×#117	C₂³	1	1	yes	characteristic
280	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
281	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
282	C₂²×C₄²	C₂³	1	1	yes	characteristic
283	C₂²×C₄²	C₂³	1	1	yes	characteristic
284	C₂²×C₄²	C₂³	1	1	yes	characteristic
285	C₂²×C₄²	C₂³	1	1	yes	characteristic
286	#436	—	2	4	no	—
287	#436	—	2	4	no	—
288	#436	—	4	2	no	—
289	#436	—	4	2	no	—
290	#435	—	2	4	no	—
291	#435	—	2	4	no	—
292	#435	—	2	4	no	—
293	#435	—	2	4	no	—
294	#435	—	4	2	no	—
295	#435	—	4	2	no	—
296	#435	—	4	2	no	—
297	#435	—	4	2	no	—
298	C₈×D₄	—	2	4	no	—
299	C₈×D₄	—	2	4	no	—
300	C₈×D₄	—	4	2	no	—
301	C₈×D₄	—	4	2	no	—
302	#433	—	2	4	no	—
303	#433	—	2	4	no	—
304	#433	—	2	4	no	—
305	#433	—	2	4	no	—
306	#433	—	2	4	no	—
307	#433	D₄	1	8	yes	complemented
308	#432	—	2	4	no	—
309	#432	—	2	4	no	—
310	#432	—	2	4	no	—
311	#432	—	2	4	no	—
312	#424	—	2	4	no	—
313	#424	—	2	4	no	—
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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
334	#408	—	2	4	no	—
335	#408	—	2	4	no	—
336	#408	—	2	4	no	—
337	#408	—	2	4	no	—
338	#407	—	2	4	no	—
339	C₂×C₂²⋊C₈	—	2	4	no	—
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
383	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
384	C₄×M₁₆	—	2	4	no	—
385	C₂×#97	—	2	4	no	—
386	C₂×#97	C₂³	1	1	yes	characteristic
387	C₂×#97	C₂³	1	1	yes	characteristic
388	C₂×#97	C₂³	1	1	yes	characteristic
389	C₂×#97	C₂³	1	1	yes	characteristic
390	C₂×#97	C₂³	1	1	yes	characteristic
391	C₂×#97	C₂³	1	1	yes	characteristic
392	C₂×#97	C₂³	1	1	yes	characteristic
393	C₂×#97	C₂³	1	1	yes	characteristic
394	C₂×#97	C₂³	1	1	yes	characteristic
395	C₂×#97	C₂³	1	1	yes	characteristic
396	C₂×#97	C₂³	1	1	yes	characteristic
397	C₂×#97	C₂³	1	1	yes	characteristic
398	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
399	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
400	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
401	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
402	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
403	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
404	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
405	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
406	#398	C₂×C₄	1	1	yes	characteristic
407	#398	C₂×C₄	1	1	yes	characteristic
408	#398	C₂×C₄	1	1	yes	characteristic
409	#398	C₂×C₄	1	1	yes	characteristic
410	#397	C₂×C₄	1	1	yes	characteristic
411	#397	C₂×C₄	1	1	yes	characteristic
412	#397	C₂×C₄	1	1	yes	characteristic
413	#397	C₂×C₄	1	1	yes	characteristic
414	#396	C₂×C₄	1	1	yes	characteristic
415	#396	C₂×C₄	1	1	yes	characteristic
416	#396	C₂×C₄	1	1	yes	characteristic
417	#396	C₂×C₄	1	1	yes	characteristic
418	#396	C₂×C₄	1	1	yes	characteristic
419	#396	C₂×C₄	1	1	yes	characteristic
420	#396	C₂×C₄	1	1	yes	characteristic
421	#396	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	#394	C₂×C₄	1	1	yes	characteristic
429	#394	C₂×C₄	1	1	yes	characteristic
430	#394	C₂×C₄	1	1	yes	characteristic
431	#394	C₂×C₄	1	1	yes	characteristic
432	#394	C₂×C₄	1	1	yes	characteristic
433	#394	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	#391	C₂×C₄	1	1	yes	characteristic
439	#391	C₂×C₄	1	1	yes	characteristic
440	#390	C₂×C₄	1	1	yes	characteristic
441	#390	C₂×C₄	1	1	yes	characteristic
442	#390	C₂×C₄	1	1	yes	characteristic
443	#390	C₂×C₄	1	1	yes	characteristic
444	#390	C₂×C₄	1	1	yes	characteristic
445	#390	C₂×C₄	1	1	yes	characteristic
446	#389	C₂×C₄	1	1	yes	characteristic
447	#389	C₂×C₄	1	1	yes	characteristic
448	#389	C₂×C₄	1	1	yes	characteristic
449	#389	C₂×C₄	1	1	yes	characteristic
450	#389	C₂×C₄	1	1	yes	characteristic
451	#389	C₂×C₄	1	1	yes	characteristic
452	#389	C₂×C₄	1	1	yes	characteristic
453	#389	C₂×C₄	1	1	yes	characteristic
454	#388	C₂×C₄	1	1	yes	characteristic
455	#388	C₂×C₄	1	1	yes	characteristic
456	#388	C₂×C₄	1	1	yes	characteristic
457	#388	C₂×C₄	1	1	yes	characteristic
458	#388	C₂×C₄	1	1	yes	characteristic
459	#388	C₂×C₄	1	1	yes	characteristic
460	#388	C₂×C₄	1	1	yes	characteristic
461	#388	C₂×C₄	1	1	yes	characteristic
462	#386	C₂×C₄	1	1	yes	characteristic
463	#386	C₂×C₄	1	1	yes	characteristic
464	#386	C₂×C₄	1	1	yes	characteristic
465	#386	C₂×C₄	1	1	yes	characteristic
466	#386	C₂×C₄	1	1	yes	characteristic
467	#386	C₂×C₄	1	1	yes	characteristic
468	#386	C₂×C₄	1	1	yes	characteristic
469	#386	C₂×C₄	1	1	yes	characteristic
470	#386	C₂×C₄	1	1	yes	characteristic
471	#386	C₂×C₄	1	1	yes	characteristic
472	#386	C₂×C₄	1	1	yes	characteristic
473	#386	C₂×C₄	1	1	yes	characteristic
474	#385	C₂×C₄	1	1	yes	characteristic
475	#385	C₂×C₄	1	1	yes	characteristic
476	#385	C₂×C₄	1	1	yes	characteristic
477	#385	C₂×C₄	1	1	yes	characteristic
478	#380	C₂×C₄	1	1	yes	characteristic
479	#380	C₂×C₄	1	1	yes	characteristic
480	#380	C₂×C₄	1	1	yes	characteristic
481	#380	C₂×C₄	1	1	yes	characteristic
482	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
484	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
485	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
486	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
487	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
488	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
489	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
490	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
491	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
492	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
493	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
494	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
495	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
496	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
497	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
498	C₂×#95	C₂×C₄	1	1	yes	characteristic
499	C₂×#95	C₂×C₄	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	C₂×#41	—	2	2	no	—
526	C₂×#41	—	2	2	no	—
527	C₂×#41	—	2	2	no	—
528	C₂×#41	—	2	2	no	—
529	C₂×#41	—	2	2	no	—
530	C₂×#41	—	2	2	no	—
531	C₂×#41	—	4	1	no	—
532	C₂×#41	—	4	1	no	—
533	C₂×#41	—	4	1	no	—
534	C₂×#41	—	4	1	no	—
535	C₂×#41	—	4	1	no	—
536	C₂×#41	—	4	1	no	—
537	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Q₈	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	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
552	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
553	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
554	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
555	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
556	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
557	C₂³×C₄	—	2	2	no	—
558	C₂³×C₄	—	2	2	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	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	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	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	C₂³×C₄	C₂⁴	1	1	yes	characteristic
579	C₂³×C₄	C₂⁴	1	1	yes	characteristic
580	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
590	C₂×M₁₆	—	4	1	no	—
591	C₂×M₁₆	—	4	1	no	—
592	C₂×M₁₆	—	4	1	no	—
593	C₂×M₁₆	—	4	1	no	—
594	C₂×M₁₆	—	4	1	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	C₂²×C₈	—	2	2	no	—
600	C₂²×C₈	—	2	2	no	—
601	C₂²×C₈	—	2	2	no	—
602	C₂²×C₈	—	2	2	no	—
603	C₂²×C₈	—	2	2	no	—
604	C₂²×C₈	—	2	2	no	—
605	C₂²×C₈	—	2	2	no	—
606	C₂²×C₈	—	2	2	no	—
607	C₂²×C₈	—	4	1	no	—
608	C₂²×C₈	—	4	1	no	—
609	C₂²×C₈	—	4	1	no	—
610	C₂²×C₈	—	4	1	no	—
611	C₂²×C₈	—	4	1	no	—
612	C₂²×C₈	—	4	1	no	—
613	C₂²×C₈	—	4	1	no	—
614	C₂²×C₈	—	4	1	no	—
615	C₂²×C₈	—	4	1	no	—
616	C₂²×C₈	—	4	1	no	—
617	C₂²×C₈	C₂⁴	1	1	yes	characteristic
618	C₂²×C₈	C₂⁴	1	1	yes	characteristic
619	C₂²×C₈	C₂⁴	1	1	yes	characteristic
620	C₂²×C₈	C₂⁴	1	1	yes	characteristic
621	C₂²×C₈	C₂⁴	1	1	yes	characteristic
622	C₂²×C₈	C₂⁴	1	1	yes	characteristic
623	C₂²×C₈	C₂⁴	1	1	yes	characteristic
624	C₂²×C₈	C₂⁴	1	1	yes	characteristic
625	C₂²×C₈	C₂⁴	1	1	yes	characteristic
626	C₂²×C₈	C₂⁴	1	1	yes	characteristic
627	C₂²×C₈	C₂⁴	1	1	yes	characteristic
628	C₂²×C₈	C₂⁴	1	1	yes	characteristic
629	C₂²×C₈	C₂⁴	1	1	yes	characteristic
630	C₂²×C₈	C₂⁴	1	1	yes	characteristic
631	C₂²×C₈	C₂⁴	1	1	yes	characteristic
632	C₂²×C₈	C₂⁴	1	1	yes	characteristic
633	C₄⋊Q₈	—	4	2	no	—
634	#127	—	4	2	no	—
635	#124	—	4	2	no	—
636	#124	—	4	2	no	—
637	#123	—	2	4	no	—
638	#123	—	2	4	no	—
639	#123	—	4	2	no	—
640	#123	—	4	2	no	—
641	C₂²⋊Q₈	—	2	4	no	—
642	C₂²⋊Q₈	—	2	4	no	—
643	C₂²⋊Q₈	—	4	2	no	—
644	C₂²⋊Q₈	—	4	2	no	—
645	#121	—	2	4	no	—
646	#121	—	2	4	no	—
647	#121	—	4	2	no	—
648	#121	—	4	2	no	—
649	#121	—	4	2	no	—
650	#121	—	4	2	no	—
651	#121	—	4	2	no	—
652	#121	—	4	2	no	—
653	#121	—	4	2	no	—
654	#121	—	4	2	no	—
655	#121	—	4	2	no	—
656	#121	—	4	2	no	—
657	#120	—	2	4	no	—
658	#120	—	2	4	no	—
659	#120	—	4	2	no	—
660	#120	—	4	2	no	—
661	C₄×Q₈	—	2	4	no	—
662	C₄×Q₈	—	2	4	no	—
663	C₄×D₄	—	2	2	no	—
664	C₄×D₄	—	2	2	no	—
665	C₄×D₄	—	2	2	no	—
666	C₄×D₄	—	2	2	no	—
667	C₄×D₄	—	2	2	no	—
668	C₄×D₄	—	2	2	no	—
669	C₄×D₄	—	2	2	no	—
670	C₄×D₄	—	2	2	no	—
671	C₄×D₄	—	2	4	no	—
672	C₄×D₄	—	2	4	no	—
673	C₄×D₄	—	2	4	no	—
674	C₄×D₄	—	2	4	no	—
675	C₄×D₄	—	2	4	no	—
676	C₄×D₄	—	2	4	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	—	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	#117	—	2	2	no	—
694	#117	—	2	2	no	—
695	#117	—	2	2	no	—
696	#117	—	2	2	no	—
697	#117	—	4	1	no	—
698	#117	—	4	1	no	—
699	#117	C₂×D₄	1	4	yes	—
700	#117	#41	1	4	yes	—
701	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×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×C₂²⋊C₄	—	4	2	no	—
730	C₂×C₂²⋊C₄	—	4	2	no	—
731	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₂×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×C₄²	—	2	2	no	—
780	C₂×C₄²	—	2	2	no	—
781	C₂×C₄²	—	2	2	no	—
782	C₂×C₄²	—	2	2	no	—
783	C₂×C₄²	—	2	2	no	—
784	C₂×C₄²	—	2	2	no	—
785	C₂×C₄²	—	4	1	no	—
786	C₂×C₄²	—	4	1	no	—
787	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
788	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
789	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
790	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
791	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
792	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
793	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
794	C₂×C₄²	C₂²×C₄	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	C₂×C₄²	C₂⁴	1	1	yes	characteristic
799	C₂×C₄²	C₂⁴	1	1	yes	characteristic
800	C₂×C₄²	C₂⁴	1	1	yes	characteristic
801	C₂×C₄²	C₂⁴	1	1	yes	characteristic
802	C₂×C₄²	C₂⁴	1	1	yes	characteristic
803	C₄⋊C₈	—	2	2	no	—
804	C₄⋊C₈	—	2	2	no	—
805	C₄⋊C₈	—	2	2	no	—
806	C₄⋊C₈	—	2	2	no	—
807	C₄⋊C₈	—	2	2	no	—
808	C₄⋊C₈	—	2	2	no	—
809	C₄⋊C₈	—	2	2	no	—
810	C₄⋊C₈	—	2	2	no	—
811	C₄⋊C₈	—	2	2	no	—
812	C₄⋊C₈	—	2	2	no	—
813	C₄⋊C₈	—	4	1	no	—
814	C₄⋊C₈	—	4	1	no	—
815	C₄⋊C₈	—	4	1	no	—
816	C₄⋊C₈	—	4	1	no	—
817	C₄⋊C₈	—	4	1	no	—
818	C₄⋊C₈	—	4	1	no	—
819	C₄⋊C₈	—	4	1	no	—
820	C₄⋊C₈	—	4	1	no	—
821	C₄⋊C₈	C₂×D₄	1	4	yes	—
822	C₄⋊C₈	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
835	C₂²⋊C₈	—	2	2	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	—	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	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	C₂×D₄	1	4	yes	—
866	C₂²⋊C₈	C₂×D₄	1	4	yes	—
867	#97	—	2	2	no	—
868	#97	—	2	2	no	—
869	#97	—	2	2	no	—
870	#97	—	2	2	no	—
871	#97	—	2	2	no	—
872	#97	—	2	2	no	—
873	#97	—	2	2	no	—
874	#97	—	4	1	no	—
875	#97	—	4	1	no	—
876	#97	—	4	1	no	—
877	#97	—	4	1	no	—
878	#97	C₂×D₄	1	4	yes	—
879	C₄×C₈	—	2	2	no	—
880	C₄×C₈	—	2	2	no	—
881	C₄×C₈	—	2	2	no	—
882	C₄×C₈	—	4	1	no	—
883	C₄×C₈	—	4	1	no	—
884	C₄×C₈	—	4	1	no	—
885	C₄×C₈	—	4	1	no	—
886	C₄×C₈	C₂×D₄	1	4	yes	—
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	#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	C₂⁴	—	2	2	no	—
912	C₂⁴	—	2	2	no	—
913	C₂⁴	—	4	1	no	—
914	C₂⁴	—	4	1	no	—
915	C₂⁴	—	4	1	no	—
916	C₂⁴	—	4	1	no	—
917	C₂⁴	—	4	1	no	—
918	C₂⁴	C₂³×C₄	1	1	yes	characteristic
919	C₂⁴	C₂³×C₄	1	1	yes	characteristic
920	C₂⁴	C₂³×C₄	1	1	yes	characteristic
921	C₂⁴	C₂³×C₄	1	1	yes	characteristic
922	C₂⁴	C₂³×C₄	1	1	yes	characteristic
923	C₂⁴	C₂³×C₄	1	1	yes	characteristic
924	C₂⁴	C₂³×C₄	1	1	yes	characteristic
925	#41	—	4	4	no	—
926	#41	—	4	4	no	—
927	#41	—	4	4	no	—
928	#41	—	4	4	no	—
929	#41	—	8	2	no	—
930	#41	—	8	2	no	—
931	#41	—	8	2	no	—
932	#41	—	8	2	no	—
933	C₂×Q₈	—	2	2	no	—
934	C₂×Q₈	—	2	2	no	—
935	C₂×Q₈	—	2	2	no	—
936	C₂×Q₈	—	4	1	no	—
937	C₂×Q₈	—	4	1	no	—
938	C₂×Q₈	—	4	1	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	—	2	2	no	—
944	C₂×D₄	—	2	2	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	2	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	2	no	—
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	—	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	1	no	—
972	C₂×D₄	—	4	1	no	—
973	C₂×D₄	—	4	1	no	—
974	C₂×D₄	—	4	1	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	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	2	no	—
1002	C₂²×C₄	—	2	2	no	—
1003	C₂²×C₄	—	2	2	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	—	2	1	no	—
1015	C₂²×C₄	—	2	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	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	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	4	1	no	—
1046	C₂²×C₄	—	4	1	no	—
1047	C₂²×C₄	—	4	1	no	—
1048	C₂²×C₄	—	4	1	no	—
1049	C₂²×C₄	—	4	1	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	4	1	no	—
1056	C₂²×C₄	—	4	1	no	—
1057	C₂²×C₄	—	4	1	no	—
1058	C₂²×C₄	—	4	1	no	—
1059	C₂²×C₄	—	4	1	no	—
1060	C₂²×C₄	—	4	1	no	—
1061	C₂²×C₄	—	4	1	no	—
1062	C₂²×C₄	—	4	1	no	—
1063	C₂²×C₄	—	4	1	no	—
1064	C₂²×C₄	—	8	2	no	—
1065	C₂²×C₄	—	8	2	no	—
1066	C₂²×C₄	—	8	2	no	—
1067	C₂²×C₄	—	8	2	no	—
1068	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1091	C₂²×C₄	C₂²×D₄	1	2	yes	—
1092	C₂²×C₄	C₂×#41	1	2	yes	—
1093	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1094	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
1095	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1096	M₁₆	—	4	4	no	—
1097	M₁₆	—	4	4	no	—
1098	M₁₆	—	8	2	no	—
1099	M₁₆	—	8	2	no	—
1100	M₁₆	—	8	2	no	—
1101	M₁₆	—	8	2	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	—	2	1	no	—
1126	C₂×C₈	—	2	1	no	—
1127	C₂×C₈	—	2	1	no	—
1128	C₂×C₈	—	2	1	no	—
1129	C₂×C₈	—	2	1	no	—
1130	C₂×C₈	—	2	1	no	—
1131	C₂×C₈	—	2	1	no	—
1132	C₂×C₈	—	2	1	no	—
1133	C₂×C₈	—	2	1	no	—
1134	C₂×C₈	—	2	1	no	—
1135	C₂×C₈	—	2	1	no	—
1136	C₂×C₈	—	2	1	no	—
1137	C₂×C₈	—	2	1	no	—
1138	C₂×C₈	—	2	1	no	—
1139	C₂×C₈	—	2	1	no	—
1140	C₂×C₈	—	2	1	no	—
1141	C₂×C₈	—	2	1	no	—
1142	C₂×C₈	—	2	1	no	—
1143	C₂×C₈	—	2	1	no	—
1144	C₂×C₈	—	2	1	no	—
1145	C₂×C₈	—	2	1	no	—
1146	C₂×C₈	—	4	4	no	—
1147	C₂×C₈	—	4	4	no	—
1148	C₂×C₈	—	8	2	no	—
1149	C₂×C₈	—	8	2	no	—
1150	C₂×C₈	—	8	2	no	—
1151	C₂×C₈	—	8	2	no	—
1152	C₂×C₈	C₂²×D₄	1	2	yes	—
1153	C₂×C₈	C₂²×D₄	1	2	yes	—
1154	C₂×C₈	C₂²×D₄	1	2	yes	—
1155	C₂×C₈	C₂²×D₄	1	2	yes	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	2	2	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	2	2	no	—
1168	C₄⋊C₄	—	2	2	no	—
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	C₄×D₄	1	4	yes	—
1183	C₄⋊C₄	C₄×D₄	1	4	yes	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	2	2	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	2	2	no	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	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	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1231	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1232	C₄²	—	2	2	no	—
1233	C₄²	—	2	2	no	—
1234	C₄²	—	2	2	no	—
1235	C₄²	—	2	2	no	—
1236	C₄²	—	2	2	no	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	—	2	1	no	—
1240	C₄²	—	2	1	no	—
1241	C₄²	—	2	1	no	—
1242	C₄²	—	2	1	no	—
1243	C₄²	—	2	1	no	—
1244	C₄²	—	2	1	no	—
1245	C₄²	—	2	1	no	—
1246	C₄²	—	2	1	no	—
1247	C₄²	—	2	1	no	—
1248	C₄²	—	2	1	no	—
1249	C₄²	—	2	1	no	—
1250	C₄²	—	4	1	no	—
1251	C₄²	—	4	1	no	—
1252	C₄²	C₂²×D₄	1	2	yes	—
1253	C₄²	C₂²×D₄	1	2	yes	—
1254	C₄²	C₂×#41	1	2	yes	—
1255	C₄²	C₂×#41	1	2	yes	—
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	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	4	4	no	—
1303	C₂³	—	4	4	no	—
1304	C₂³	—	8	2	no	—
1305	C₂³	—	8	2	no	—
1306	C₂³	—	8	2	no	—
1307	C₂³	—	8	2	no	—
1308	C₂³	—	8	2	no	—
1309	C₂³	C₂×C₄×D₄	1	2	yes	—
1310	C₂³	#518	1	2	yes	—
1311	C₂³	#568	1	2	yes	—
1312	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1313	Q₈	—	4	4	no	—
1314	Q₈	—	8	2	no	—
1315	D₄	—	4	4	no	—
1316	D₄	—	4	4	no	—
1317	D₄	—	4	4	no	—
1318	D₄	—	4	4	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	4	4	no	—
1321	D₄	—	4	4	no	—
1322	D₄	—	8	2	no	—
1323	D₄	—	8	2	no	—
1324	D₄	—	8	2	no	—
1325	D₄	—	8	2	no	—
1326	D₄	—	8	2	no	—
1327	D₄	—	8	2	no	—
1328	D₄	—	8	2	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	8	2	no	—
1331	D₄	—	8	2	no	—
1332	D₄	—	8	2	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	2	no	—
1354	C₂×C₄	—	2	2	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	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	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	—	4	1	no	—
1417	C₂×C₄	—	4	1	no	—
1418	C₂×C₄	—	4	1	no	—
1419	C₂×C₄	—	4	1	no	—
1420	C₂×C₄	—	4	1	no	—
1421	C₂×C₄	—	4	1	no	—
1422	C₂×C₄	—	4	1	no	—
1423	C₂×C₄	—	8	2	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	8	2	no	—
1428	C₂×C₄	—	8	2	no	—
1429	C₂×C₄	—	8	2	no	—
1430	C₂×C₄	—	8	2	no	—
1431	C₂×C₄	—	8	2	no	—
1432	C₂×C₄	—	8	2	no	—
1433	C₂×C₄	—	8	2	no	—
1434	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1435	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1436	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1437	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1438	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1439	C₂×C₄	#518	1	2	yes	—
1440	C₂×C₄	#568	1	2	yes	—
1441	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1442	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1443	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1444	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1445	C₂×C₄	#585	1	1	yes	characteristic
1446	C₂×C₄	#585	1	1	yes	characteristic
1447	C₈	—	2	2	no	—
1448	C₈	—	2	2	no	—
1449	C₈	—	2	2	no	—
1450	C₈	—	2	2	no	—
1451	C₈	—	4	1	no	—
1452	C₈	—	4	1	no	—
1453	C₈	—	4	1	no	—
1454	C₈	—	4	1	no	—
1455	C₈	—	4	1	no	—
1456	C₈	—	4	1	no	—
1457	C₈	—	4	1	no	—
1458	C₈	—	4	1	no	—
1459	C₈	—	4	1	no	—
1460	C₈	—	4	1	no	—
1461	C₈	—	4	1	no	—
1462	C₈	—	4	1	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	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	—	4	1	no	—
1493	C₂²	—	4	1	no	—
1494	C₂²	—	4	1	no	—
1495	C₂²	—	4	1	no	—
1496	C₂²	—	4	1	no	—
1497	C₂²	—	4	1	no	—
1498	C₂²	—	4	1	no	—
1499	C₂²	—	4	1	no	—
1500	C₂²	—	4	1	no	—
1501	C₂²	—	4	1	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	8	8	no	—
1513	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1514	C₂²	C₂×#518	1	1	yes	characteristic
1515	C₂²	#3428	1	1	yes	characteristic
1516	C₂²	C₂×#568	1	1	yes	characteristic
1517	C₂²	C₂×#568	1	1	yes	characteristic
1518	C₂²	#3573	1	1	yes	characteristic
1519	C₂²	#3573	1	1	yes	characteristic
1520	C₄	—	2	2	no	—
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	#3488	1	1	yes	characteristic
1544	C₄	#3488	1	1	yes	characteristic
1545	C₄	#3494	1	1	yes	characteristic
1546	C₄	#3494	1	1	yes	characteristic
1547	C₂	—	4	2	no	—
1548	C₂	—	4	2	no	—
1549	C₂	—	4	2	no	—
1550	C₂	—	8	1	no	—
1551	C₂	—	8	1	no	—
1552	C₂	—	8	1	no	—
1553	C₂	—	8	1	no	—
1554	C₂	#34204	1	1	yes	characteristic
1555	C₂	#60146	1	1	yes	characteristic
1556	C₂	#60147	1	1	yes	characteristic
1557	C₂	#60240	1	1	yes	characteristic
1558	C₂	#60240	1	1	yes	characteristic
1559	C₂	#60285	1	1	yes	characteristic
1560	C₂	#60296	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#34743	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×#2976	C₂	semidirect
2. C₂×#2923	C₂	semidirect
4. #23088	C₂	semidirect
5. #23086	C₂	semidirect
6. #23086	C₂	semidirect
7. #23084	C₂	semidirect
8. #22994	C₂	semidirect
9. #22993	C₂	semidirect
10. #22992	C₂	semidirect
11. #22991	C₂	semidirect
12. #22557	C₂	semidirect
13. #22557	C₂	semidirect
14. #22555	C₂	semidirect
15. #22554	C₂	semidirect
16. #22403	C₂	semidirect
17. #22402	C₂	semidirect
18. #22400	C₂	semidirect
19. #22398	C₂	semidirect
20. #22142	C₂	semidirect
21. #22142	C₂	semidirect
22. #22140	C₂	semidirect
23. #22134	C₂	semidirect
24. #21958	C₂	semidirect
25. #21792	C₂	semidirect
26. #21489	C₂	semidirect
27. #21489	C₂	semidirect
28. #21488	C₂	semidirect
29. #21486	C₂	semidirect
30. #20720	C₂	semidirect
31. #20541	C₂	semidirect
40. C₂×#436	C₂²	semidirect
47. C₂×#435	C₂²	semidirect
48. C₂×#435	C₂²	semidirect
52. C₂×C₈×D₄	C₂²	semidirect
58. C₂×#433	C₂²	semidirect
59. C₂×#433	C₂²	semidirect
62. C₂×#432	C₂²	semidirect
63. C₂×#432	C₂²	semidirect
64. C₂×#424	C₂²	semidirect
65. C₂×#424	C₂²	semidirect
72. C₂×C₄×M₁₆	C₂²	semidirect
73. C₂²×#97	C₂²	semidirect
107. #1955	C₂²	semidirect
108. #1955	C₂²	semidirect
115. #1954	C₂²	semidirect
116. #1954	C₂²	semidirect
117. #1940	C₂²	semidirect
118. #1940	C₂²	semidirect
119. #1940	C₂²	semidirect
120. #1940	C₂²	semidirect
121. #1939	C₂²	semidirect
122. #1939	C₂²	semidirect
123. #1939	C₂²	semidirect
124. #1939	C₂²	semidirect
131. #1924	C₂²	semidirect
132. #1924	C₂²	semidirect
133. #1924	C₂²	semidirect
134. #1924	C₂²	semidirect
135. #1924	C₂²	semidirect
136. #1924	C₂²	semidirect
139. #1923	C₂²	semidirect
140. #1923	C₂²	semidirect
145. #1870	C₂²	semidirect
146. #1870	C₂²	semidirect
147. #1870	C₂²	semidirect
148. #1870	C₂²	semidirect
153. #1869	C₂²	semidirect
154. #1869	C₂²	semidirect
155. #1869	C₂²	semidirect
156. #1869	C₂²	semidirect
159. #1851	C₂²	semidirect
160. #1851	C₂²	semidirect
163. #1850	C₂²	semidirect
164. #1850	C₂²	semidirect
169. #1798	C₂²	semidirect
170. #1798	C₂²	semidirect
173. #1797	C₂²	semidirect
174. #1797	C₂²	semidirect
181. #1771	C₂²	semidirect
182. #1771	C₂²	semidirect
183. #1771	C₂²	semidirect
184. #1771	C₂²	semidirect
185. #1770	C₂²	semidirect
186. #1770	C₂²	semidirect
187. C₈×C₄⋊C₄	C₂²	semidirect
188. C₈×C₄⋊C₄	C₂²	semidirect
191. #1753	C₂²	semidirect
192. #1753	C₂²	semidirect
195. #1752	C₂²	semidirect
196. #1752	C₂²	semidirect
199. #1750	C₂²	semidirect
200. #1750	C₂²	semidirect
202. #1749	C₂²	semidirect
204. C₄×C₂²⋊C₈	C₂²	semidirect
307. #433	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2976	2
C₂×#2923	2
#34743	2
#23088	2
#23086	2
#23084	2
#22994	2
#22993	2
#22992	2
#22991	2
#22557	2
#22555	2
#22554	2
#22403	2
#22402	2
#22400	2
#22398	2
#22142	2
#22140	2
#22134	2
#21958	2
#21792	2
#21489	2
#21488	2
#21486	2
#20720	2
#20541	2