Subgroups — #6423544

Order 512.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1413 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34934	C₂	1	1	yes	maximal, characteristic
2	#23356	C₂	1	1	yes	maximal, characteristic, complemented
3	#23355	C₂	1	1	yes	maximal, characteristic, complemented
4	#23333	C₂	1	1	yes	maximal, characteristic, complemented
5	#23330	C₂	1	1	yes	maximal, characteristic, complemented
6	#23175	C₂	1	1	yes	maximal, characteristic, complemented
7	#23123	C₂	1	1	yes	maximal, characteristic, complemented
8	#23120	C₂	1	1	yes	maximal, characteristic, complemented
9	#23089	C₂	1	1	yes	maximal, characteristic, complemented
10	#22991	C₂	1	1	yes	maximal, characteristic, complemented
11	#22830	C₂	1	1	yes	maximal, characteristic, complemented
12	#22790	C₂	1	1	yes	maximal, characteristic, complemented
13	#22785	C₂	1	1	yes	maximal, characteristic, complemented
14	#22757	C₂	1	1	yes	maximal, characteristic, complemented
15	#22470	C₂	1	1	yes	maximal, characteristic, complemented
16	#22470	C₂	1	1	yes	maximal, characteristic, complemented
17	#22339	C₂	1	1	yes	maximal, characteristic, complemented
18	#22334	C₂	1	1	yes	maximal, characteristic, complemented
19	#22266	C₂	1	1	yes	maximal, characteristic, complemented
20	#22262	C₂	1	1	yes	maximal, characteristic, complemented
21	#22260	C₂	1	1	yes	maximal, characteristic, complemented
22	#22176	C₂	1	1	yes	maximal, characteristic, complemented
23	#22175	C₂	1	1	yes	maximal, characteristic, complemented
24	#22142	C₂	1	1	yes	maximal, characteristic, complemented
25	#22022	C₂	1	1	yes	maximal, characteristic, complemented
26	#22005	C₂	1	1	yes	maximal, characteristic, complemented
27	#22000	C₂	1	1	yes	maximal, characteristic, complemented
28	#21855	C₂	1	1	yes	maximal, characteristic, complemented
29	#21496	C₂	1	1	yes	maximal, characteristic, complemented
30	#21381	C₂	1	1	yes	maximal, characteristic, complemented
31	#21110	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#529	C₂²	1	1	yes	characteristic
33	C₂×#529	C₂²	1	1	yes	characteristic
34	C₂×#436	C₂²	1	1	yes	characteristic
35	C₂×#435	C₂²	1	1	yes	characteristic
36	C₂×#435	C₂²	1	1	yes	characteristic
37	C₂×#435	C₂²	1	1	yes	characteristic
38	C₂×#435	C₂²	1	1	yes	characteristic
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic
41	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
44	C₂×#433	C₂²	1	1	yes	characteristic
45	C₂×#433	C₂²	1	1	yes	characteristic
46	C₂×#424	C₂²	1	1	yes	characteristic
47	C₂×#405	C₂²	1	1	yes	characteristic
48	#2554	C₄	1	1	yes	characteristic
49	#2554	C₄	1	1	yes	characteristic
50	#2554	C₄	1	1	yes	characteristic
51	#2554	C₄	1	1	yes	characteristic
52	#2552	C₄	1	1	yes	characteristic
53	#2548	C₄	1	1	yes	characteristic
54	#2541	C₄	1	1	yes	characteristic
55	#2538	C₄	1	1	yes	characteristic
56	#2512	C₄	1	1	yes	characteristic
57	#2512	C₄	1	1	yes	characteristic
58	#2490	C₄	1	1	yes	characteristic
59	#2490	C₄	1	1	yes	characteristic
60	#2445	C₄	1	1	yes	characteristic
61	#2445	C₄	1	1	yes	characteristic
62	#2426	C₄	1	1	yes	characteristic
63	#2426	C₄	1	1	yes	characteristic
64	#2392	C₂²	1	1	yes	characteristic
65	#2392	C₂²	1	1	yes	characteristic
66	#2392	C₂²	1	1	yes	characteristic
67	#2392	C₂²	1	1	yes	characteristic
68	C₄×#127	C₂²	1	1	yes	characteristic
69	C₄×#127	C₂²	1	1	yes	characteristic
70	C₄×#127	C₂²	1	1	yes	characteristic
71	C₄×#121	C₂²	1	1	yes	characteristic
72	C₄×#121	C₂²	1	1	yes	characteristic
73	#2293	C₂²	1	1	yes	characteristic
74	#2293	C₂²	1	1	yes	characteristic
75	C₄²×Q₈	C₂²	1	1	yes	characteristic
76	C₄²×D₄	C₂²	1	1	yes	characteristic
77	#1985	C₂²	1	1	yes	characteristic
78	#1985	C₂²	1	1	yes	characteristic
79	#1984	C₂²	1	1	yes	characteristic
80	#1984	C₂²	1	1	yes	characteristic
81	#1955	C₂²	1	1	yes	characteristic
82	#1955	C₂²	1	1	yes	characteristic
83	#1955	C₂²	1	1	yes	characteristic
84	#1955	C₂²	1	1	yes	characteristic
85	#1955	C₂²	1	1	yes	characteristic
86	#1955	C₂²	1	1	yes	characteristic
87	#1954	C₂²	1	1	yes	characteristic
88	#1954	C₂²	1	1	yes	characteristic
89	#1954	C₂²	1	1	yes	characteristic
90	#1954	C₂²	1	1	yes	characteristic
91	#1939	C₂²	1	1	yes	characteristic
92	#1939	C₂²	1	1	yes	characteristic
93	#1924	C₂²	1	1	yes	characteristic
94	#1924	C₂²	1	1	yes	characteristic
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1924	C₂²	1	1	yes	characteristic
100	#1924	C₂²	1	1	yes	characteristic
101	#1923	C₂²	1	1	yes	characteristic
102	#1923	C₂²	1	1	yes	characteristic
103	#1923	C₂²	1	1	yes	characteristic
104	#1923	C₂²	1	1	yes	characteristic
105	#1917	C₂²	1	1	yes	characteristic
106	#1917	C₂²	1	1	yes	characteristic
107	#1917	C₂²	1	1	yes	characteristic
108	#1917	C₂²	1	1	yes	characteristic
109	#1917	C₂²	1	1	yes	characteristic
110	#1917	C₂²	1	1	yes	characteristic
111	#1917	C₂²	1	1	yes	characteristic
112	#1917	C₂²	1	1	yes	characteristic
113	#1916	C₂²	1	1	yes	characteristic
114	#1916	C₂²	1	1	yes	characteristic
115	#1916	C₂²	1	1	yes	characteristic
116	#1916	C₂²	1	1	yes	characteristic
117	#1870	C₂²	1	1	yes	characteristic
118	#1870	C₂²	1	1	yes	characteristic
119	#1870	C₂²	1	1	yes	characteristic
120	#1870	C₂²	1	1	yes	characteristic
121	#1870	C₂²	1	1	yes	characteristic
122	#1870	C₂²	1	1	yes	characteristic
123	#1870	C₂²	1	1	yes	characteristic
124	#1870	C₂²	1	1	yes	characteristic
125	#1870	C₂²	1	1	yes	characteristic
126	#1870	C₂²	1	1	yes	characteristic
127	#1870	C₂²	1	1	yes	characteristic
128	#1870	C₂²	1	1	yes	characteristic
129	#1869	C₂²	1	1	yes	characteristic
130	#1869	C₂²	1	1	yes	characteristic
131	#1869	C₂²	1	1	yes	characteristic
132	#1869	C₂²	1	1	yes	characteristic
133	#1869	C₂²	1	1	yes	characteristic
134	#1869	C₂²	1	1	yes	characteristic
135	#1869	C₂²	1	1	yes	characteristic
136	#1869	C₂²	1	1	yes	characteristic
137	#1869	C₂²	1	1	yes	characteristic
138	#1869	C₂²	1	1	yes	characteristic
139	#1869	C₂²	1	1	yes	characteristic
140	#1869	C₂²	1	1	yes	characteristic
141	#1869	C₂²	1	1	yes	characteristic
142	#1869	C₂²	1	1	yes	characteristic
143	#1869	C₂²	1	1	yes	characteristic
144	#1869	C₂²	1	1	yes	characteristic
145	#1869	C₂²	1	1	yes	characteristic
146	#1869	C₂²	1	1	yes	characteristic
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
152	#1869	C₂²	1	1	yes	characteristic
153	#1869	C₂²	1	1	yes	characteristic
154	#1869	C₂²	1	1	yes	characteristic
155	#1869	C₂²	1	1	yes	characteristic
156	#1869	C₂²	1	1	yes	characteristic
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1850	C₂²	1	1	yes	characteristic
160	#1850	C₂²	1	1	yes	characteristic
161	#1850	C₂²	1	1	yes	characteristic
162	#1850	C₂²	1	1	yes	characteristic
163	#1839	C₂²	1	1	yes	characteristic
164	#1839	C₂²	1	1	yes	characteristic
165	#1839	C₂²	1	1	yes	characteristic
166	#1839	C₂²	1	1	yes	characteristic
167	#1831	C₂²	1	1	yes	characteristic
168	#1831	C₂²	1	1	yes	characteristic
169	#1831	C₂²	1	1	yes	characteristic
170	#1818	C₂²	1	1	yes	characteristic
171	#1818	C₂²	1	1	yes	characteristic
172	#1817	C₂²	1	1	yes	characteristic
173	#1817	C₂²	1	1	yes	characteristic
174	#1798	C₂²	1	1	yes	characteristic
175	#1798	C₂²	1	1	yes	characteristic
176	#1798	C₂²	1	1	yes	characteristic
177	#1798	C₂²	1	1	yes	characteristic
178	#1797	C₂²	1	1	yes	characteristic
179	#1797	C₂²	1	1	yes	characteristic
180	#1771	C₂²	1	1	yes	characteristic
181	#1771	C₂²	1	1	yes	characteristic
182	#1767	C₂²	1	1	yes	characteristic
183	#1767	C₂²	1	1	yes	characteristic
184	#1753	C₂²	1	1	yes	characteristic
185	#1753	C₂²	1	1	yes	characteristic
186	#1752	C₂²	1	1	yes	characteristic
187	#1752	C₂²	1	1	yes	characteristic
188	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
189	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic
191	#1750	C₂²	1	1	yes	characteristic
192	#1750	C₂²	1	1	yes	characteristic
193	#1750	C₂²	1	1	yes	characteristic
194	#1749	C₂²	1	1	yes	characteristic
195	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
196	#1745	C₂²	1	1	yes	characteristic
197	#1744	C₂²	1	1	yes	characteristic
198	#1744	C₂²	1	1	yes	characteristic
199	#1729	C₂²	1	1	yes	characteristic
200	#1729	C₂²	1	1	yes	characteristic
201	C₂×#336	C₂²	1	1	yes	characteristic
202	C₂×#336	C₂²	1	1	yes	characteristic
203	C₂²×M₁₆	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	C₂³	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₂³×C₈	C₂³	1	1	yes	characteristic
209	C₂³×C₈	C₂³	1	1	yes	characteristic
210	C₂³×C₈	C₂³	1	1	yes	characteristic
211	C₂³×C₈	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	C₂³×C₈	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂×#127	C₂×C₄	1	1	yes	characteristic
216	C₂×#127	C₂×C₄	1	1	yes	characteristic
217	C₂×#127	C₂×C₄	1	1	yes	characteristic
218	#529	—	4	2	no	—
219	#529	—	4	2	no	—
220	#529	—	4	2	no	—
221	#529	—	4	2	no	—
222	C₂×#126	C₂×C₄	1	1	yes	characteristic
223	C₂×#126	C₂×C₄	1	1	yes	characteristic
224	C₂×#126	C₂×C₄	1	1	yes	characteristic
225	C₂×#126	C₂×C₄	1	1	yes	characteristic
226	C₂×#125	C₂×C₄	1	1	yes	characteristic
227	C₂×#125	C₂×C₄	1	1	yes	characteristic
228	C₂×#124	C₂×C₄	1	1	yes	characteristic
229	C₂×#124	C₂×C₄	1	1	yes	characteristic
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×#121	C₂×C₄	1	1	yes	characteristic
237	C₂×#121	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×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
241	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
242	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₂×#117	C₂³	1	1	yes	characteristic
261	C₂×#117	C₂³	1	1	yes	characteristic
262	C₂×#117	C₂³	1	1	yes	characteristic
263	C₂×#117	C₂³	1	1	yes	characteristic
264	C₂²×C₄²	C₂³	1	1	yes	characteristic
265	C₂²×C₄²	C₂³	1	1	yes	characteristic
266	#436	—	4	2	no	—
267	#435	—	4	2	no	—
268	#435	—	4	2	no	—
269	#435	—	4	2	no	—
270	#435	—	4	2	no	—
271	#435	—	4	2	no	—
272	#435	—	4	2	no	—
273	C₈×D₄	—	4	2	no	—
274	C₈×D₄	—	4	2	no	—
275	C₈×D₄	—	4	2	no	—
276	#433	—	4	2	no	—
277	#433	—	4	2	no	—
278	#424	—	4	2	no	—
279	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	#405	—	4	2	no	—
330	C₂×#97	C₂³	1	1	yes	characteristic
331	C₂×#97	C₂³	1	1	yes	characteristic
332	C₂×#97	C₂³	1	1	yes	characteristic
333	C₂×#97	C₂³	1	1	yes	characteristic
334	C₂×#97	C₂³	1	1	yes	characteristic
335	C₂×#97	C₂³	1	1	yes	characteristic
336	C₂×#97	C₂³	1	1	yes	characteristic
337	C₂×#97	C₂³	1	1	yes	characteristic
338	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
339	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
340	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
341	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
342	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	#398	C₂×C₄	1	1	yes	characteristic
345	#398	C₂×C₄	1	1	yes	characteristic
346	#398	C₂×C₄	1	1	yes	characteristic
347	#398	C₂×C₄	1	1	yes	characteristic
348	#397	C₂×C₄	1	1	yes	characteristic
349	#397	C₂×C₄	1	1	yes	characteristic
350	#397	C₂×C₄	1	1	yes	characteristic
351	#397	C₂×C₄	1	1	yes	characteristic
352	#396	C₂×C₄	1	1	yes	characteristic
353	#396	C₂×C₄	1	1	yes	characteristic
354	#396	C₂×C₄	1	1	yes	characteristic
355	#396	C₂×C₄	1	1	yes	characteristic
356	#396	C₂×C₄	1	1	yes	characteristic
357	#396	C₂×C₄	1	1	yes	characteristic
358	#396	C₂×C₄	1	1	yes	characteristic
359	#396	C₂×C₄	1	1	yes	characteristic
360	#394	C₂×C₄	1	1	yes	characteristic
361	#394	C₂×C₄	1	1	yes	characteristic
362	#394	C₂×C₄	1	1	yes	characteristic
363	#394	C₂×C₄	1	1	yes	characteristic
364	#394	C₂×C₄	1	1	yes	characteristic
365	#394	C₂×C₄	1	1	yes	characteristic
366	#394	C₂×C₄	1	1	yes	characteristic
367	#394	C₂×C₄	1	1	yes	characteristic
368	#394	C₂×C₄	1	1	yes	characteristic
369	#394	C₂×C₄	1	1	yes	characteristic
370	#394	C₂×C₄	1	1	yes	characteristic
371	#394	C₂×C₄	1	1	yes	characteristic
372	#392	C₂×C₄	1	1	yes	characteristic
373	#392	C₂×C₄	1	1	yes	characteristic
374	#392	C₂×C₄	1	1	yes	characteristic
375	#392	C₂×C₄	1	1	yes	characteristic
376	#390	C₂×C₄	1	1	yes	characteristic
377	#390	C₂×C₄	1	1	yes	characteristic
378	#390	C₂×C₄	1	1	yes	characteristic
379	#390	C₂×C₄	1	1	yes	characteristic
380	#390	C₂×C₄	1	1	yes	characteristic
381	#390	C₂×C₄	1	1	yes	characteristic
382	#390	C₂×C₄	1	1	yes	characteristic
383	#390	C₂×C₄	1	1	yes	characteristic
384	#390	C₂×C₄	1	1	yes	characteristic
385	#390	C₂×C₄	1	1	yes	characteristic
386	#390	C₂×C₄	1	1	yes	characteristic
387	#390	C₂×C₄	1	1	yes	characteristic
388	#390	C₂×C₄	1	1	yes	characteristic
389	#390	C₂×C₄	1	1	yes	characteristic
390	#390	C₂×C₄	1	1	yes	characteristic
391	#390	C₂×C₄	1	1	yes	characteristic
392	#390	C₂×C₄	1	1	yes	characteristic
393	#390	C₂×C₄	1	1	yes	characteristic
394	#390	C₂×C₄	1	1	yes	characteristic
395	#390	C₂×C₄	1	1	yes	characteristic
396	#390	C₂×C₄	1	1	yes	characteristic
397	#390	C₂×C₄	1	1	yes	characteristic
398	#390	C₂×C₄	1	1	yes	characteristic
399	#390	C₂×C₄	1	1	yes	characteristic
400	#389	C₂×C₄	1	1	yes	characteristic
401	#389	C₂×C₄	1	1	yes	characteristic
402	#389	C₂×C₄	1	1	yes	characteristic
403	#389	C₂×C₄	1	1	yes	characteristic
404	#389	C₂×C₄	1	1	yes	characteristic
405	#389	C₂×C₄	1	1	yes	characteristic
406	#388	C₂×C₄	1	1	yes	characteristic
407	#388	C₂×C₄	1	1	yes	characteristic
408	#388	C₂×C₄	1	1	yes	characteristic
409	#388	C₂×C₄	1	1	yes	characteristic
410	#388	C₂×C₄	1	1	yes	characteristic
411	#388	C₂×C₄	1	1	yes	characteristic
412	#388	C₂×C₄	1	1	yes	characteristic
413	#388	C₂×C₄	1	1	yes	characteristic
414	#388	C₂×C₄	1	1	yes	characteristic
415	#388	C₂×C₄	1	1	yes	characteristic
416	#388	C₂×C₄	1	1	yes	characteristic
417	#388	C₂×C₄	1	1	yes	characteristic
418	#386	C₂×C₄	1	1	yes	characteristic
419	#386	C₂×C₄	1	1	yes	characteristic
420	#386	C₂×C₄	1	1	yes	characteristic
421	#386	C₂×C₄	1	1	yes	characteristic
422	#384	C₂×C₄	1	1	yes	characteristic
423	#384	C₂×C₄	1	1	yes	characteristic
424	#384	C₂×C₄	1	1	yes	characteristic
425	#380	C₂×C₄	1	1	yes	characteristic
426	#380	C₂×C₄	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
435	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
443	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
444	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
446	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	C₄³	C₂³	1	1	yes	characteristic
450	C₄³	C₂³	1	1	yes	characteristic
451	C₄³	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
497	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
498	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
499	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
500	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
506	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
507	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
508	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
509	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
510	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
512	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
513	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
514	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
515	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂³×C₄	C₂⁴	1	1	yes	characteristic
517	C₂³×C₄	C₂⁴	1	1	yes	characteristic
518	C₂³×C₄	C₂⁴	1	1	yes	characteristic
519	C₂³×C₄	C₂⁴	1	1	yes	characteristic
520	C₂³×C₄	C₂⁴	1	1	yes	characteristic
521	C₂³×C₄	C₂⁴	1	1	yes	characteristic
522	C₂×M₁₆	—	2	2	no	—
523	C₂×M₁₆	—	2	2	no	—
524	C₂×M₁₆	—	4	1	no	—
525	C₂×M₁₆	—	4	1	no	—
526	C₂×M₁₆	—	4	1	no	—
527	C₂×M₁₆	—	4	1	no	—
528	C₂×M₁₆	—	4	1	no	—
529	C₂×M₁₆	—	4	1	no	—
530	C₂×M₁₆	—	4	1	no	—
531	C₂×M₁₆	—	4	1	no	—
532	C₂×M₁₆	—	4	1	no	—
533	C₂×M₁₆	—	4	1	no	—
534	C₂²×C₈	—	2	2	no	—
535	C₂²×C₈	—	4	1	no	—
536	C₂²×C₈	—	4	1	no	—
537	C₂²×C₈	—	4	1	no	—
538	C₂²×C₈	—	4	1	no	—
539	C₂²×C₈	—	4	1	no	—
540	C₂²×C₈	—	4	1	no	—
541	C₂²×C₈	—	4	1	no	—
542	C₂²×C₈	—	4	1	no	—
543	C₂²×C₈	—	4	1	no	—
544	C₂²×C₈	—	4	1	no	—
545	C₂²×C₈	—	4	1	no	—
546	C₂²×C₈	—	4	1	no	—
547	C₂²×C₈	—	4	1	no	—
548	C₂²×C₈	—	4	1	no	—
549	C₂²×C₈	—	4	1	no	—
550	C₂²×C₈	—	4	1	no	—
551	C₂²×C₈	—	4	1	no	—
552	C₂²×C₈	—	4	1	no	—
553	C₂²×C₈	—	4	1	no	—
554	C₂²×C₈	—	4	1	no	—
555	C₂²×C₈	—	4	1	no	—
556	C₂²×C₈	—	4	1	no	—
557	C₂²×C₈	—	4	1	no	—
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₂²×C₈	C₂⁴	1	1	yes	characteristic
560	C₂²×C₈	C₂⁴	1	1	yes	characteristic
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	1	yes	characteristic
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₂²×C₈	C₂⁴	1	1	yes	characteristic
568	C₂²×C₈	C₂⁴	1	1	yes	characteristic
569	C₂²×C₈	C₂⁴	1	1	yes	characteristic
570	C₂²×C₈	C₂⁴	1	1	yes	characteristic
571	C₂²×C₈	C₂⁴	1	1	yes	characteristic
572	C₂²×C₈	C₂⁴	1	1	yes	characteristic
573	C₂²×C₈	C₂⁴	1	1	yes	characteristic
574	#127	—	2	4	no	—
575	#127	—	2	4	no	—
576	#127	—	4	2	no	—
577	#126	—	4	2	no	—
578	#126	—	4	2	no	—
579	#126	—	4	2	no	—
580	#126	—	4	2	no	—
581	#125	—	4	2	no	—
582	#125	—	4	2	no	—
583	#124	—	4	2	no	—
584	#124	—	4	2	no	—
585	#123	—	4	2	no	—
586	#123	—	4	2	no	—
587	#123	—	4	2	no	—
588	#123	—	4	2	no	—
589	C₂²⋊Q₈	—	4	2	no	—
590	C₂²⋊Q₈	—	4	2	no	—
591	#121	—	4	2	no	—
592	#121	—	4	2	no	—
593	#121	—	4	2	no	—
594	#121	—	4	2	no	—
595	C₄×Q₈	—	2	2	no	—
596	C₄×Q₈	—	2	2	no	—
597	C₄×Q₈	—	4	2	no	—
598	C₄×Q₈	—	4	2	no	—
599	C₄×D₄	—	2	4	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	—	2	2	no	—
603	C₄×D₄	—	2	2	no	—
604	C₄×D₄	—	4	2	no	—
605	C₄×D₄	—	4	1	no	—
606	C₄×D₄	—	4	1	no	—
607	C₄×D₄	—	4	1	no	—
608	C₄×D₄	—	4	1	no	—
609	C₄×D₄	—	4	1	no	—
610	C₄×D₄	—	4	1	no	—
611	C₄×D₄	—	4	1	no	—
612	C₄×D₄	—	4	1	no	—
613	C₄×D₄	—	4	1	no	—
614	C₄×D₄	—	4	1	no	—
615	C₄×D₄	—	4	1	no	—
616	C₄×D₄	—	4	1	no	—
617	C₄×D₄	—	4	1	no	—
618	C₄×D₄	—	4	1	no	—
619	C₄×D₄	—	4	1	no	—
620	C₄×D₄	—	4	1	no	—
621	C₄×D₄	—	4	1	no	—
622	C₄×D₄	—	4	1	no	—
623	C₄×D₄	—	4	1	no	—
624	C₄×D₄	—	4	1	no	—
625	C₄×D₄	—	4	1	no	—
626	C₄×D₄	—	4	1	no	—
627	C₄×D₄	—	4	1	no	—
628	C₄×D₄	—	4	1	no	—
629	C₄×D₄	—	4	1	no	—
630	C₄×D₄	—	4	1	no	—
631	#117	—	2	2	no	—
632	#117	—	2	2	no	—
633	#117	—	2	2	no	—
634	#117	—	2	2	no	—
635	#117	—	4	1	no	—
636	#117	—	4	1	no	—
637	#117	—	4	1	no	—
638	#117	—	4	1	no	—
639	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₄²	—	4	1	no	—
724	C₂×C₄²	—	4	1	no	—
725	C₂×C₄²	—	4	1	no	—
726	C₂×C₄²	—	4	1	no	—
727	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
728	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
733	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
737	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
738	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
740	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
741	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
743	C₂×C₄²	C₂⁴	1	1	yes	characteristic
744	C₂×C₄²	C₂⁴	1	1	yes	characteristic
745	C₂×C₄²	C₂⁴	1	1	yes	characteristic
746	C₂×C₄²	C₂⁴	1	1	yes	characteristic
747	C₂×C₄²	C₂⁴	1	1	yes	characteristic
748	C₂×C₄²	C₂⁴	1	1	yes	characteristic
749	C₂×C₄²	C₂⁴	1	1	yes	characteristic
750	C₂×C₄²	C₂⁴	1	1	yes	characteristic
751	C₂×C₄²	C₂⁴	1	1	yes	characteristic
752	C₄⋊C₈	—	2	2	no	—
753	C₄⋊C₈	—	2	2	no	—
754	C₄⋊C₈	—	2	2	no	—
755	C₄⋊C₈	—	2	2	no	—
756	C₄⋊C₈	—	2	2	no	—
757	C₄⋊C₈	—	4	1	no	—
758	C₄⋊C₈	—	4	1	no	—
759	C₄⋊C₈	—	4	1	no	—
760	C₄⋊C₈	—	4	1	no	—
761	C₄⋊C₈	—	4	1	no	—
762	C₄⋊C₈	—	4	1	no	—
763	C₄⋊C₈	—	4	1	no	—
764	C₄⋊C₈	—	4	1	no	—
765	C₄⋊C₈	—	4	1	no	—
766	C₂²⋊C₈	—	2	2	no	—
767	C₂²⋊C₈	—	2	2	no	—
768	C₂²⋊C₈	—	2	2	no	—
769	C₂²⋊C₈	—	4	1	no	—
770	C₂²⋊C₈	—	4	1	no	—
771	C₂²⋊C₈	—	4	1	no	—
772	C₂²⋊C₈	—	4	1	no	—
773	C₂²⋊C₈	—	4	1	no	—
774	C₂²⋊C₈	—	4	1	no	—
775	C₂²⋊C₈	—	4	1	no	—
776	C₂²⋊C₈	—	4	1	no	—
777	C₂²⋊C₈	—	4	1	no	—
778	C₂²⋊C₈	—	4	1	no	—
779	C₂²⋊C₈	—	4	1	no	—
780	C₂²⋊C₈	—	4	1	no	—
781	C₂²⋊C₈	—	4	1	no	—
782	C₂²⋊C₈	—	4	1	no	—
783	C₂²⋊C₈	—	4	1	no	—
784	C₂²⋊C₈	—	4	1	no	—
785	C₂²⋊C₈	—	4	1	no	—
786	C₂²⋊C₈	—	4	1	no	—
787	C₂²⋊C₈	—	4	1	no	—
788	C₂²⋊C₈	—	4	1	no	—
789	C₂²⋊C₈	—	4	1	no	—
790	C₂²⋊C₈	—	4	1	no	—
791	C₂²⋊C₈	—	4	1	no	—
792	C₂²⋊C₈	—	4	1	no	—
793	C₂²⋊C₈	—	4	1	no	—
794	C₂²⋊C₈	—	4	1	no	—
795	C₂²⋊C₈	—	4	1	no	—
796	C₂²⋊C₈	—	4	1	no	—
797	C₂²⋊C₈	—	4	1	no	—
798	C₂²⋊C₈	—	4	1	no	—
799	C₂²⋊C₈	—	4	1	no	—
800	C₂²⋊C₈	—	4	1	no	—
801	C₂²⋊C₈	—	4	1	no	—
802	#97	—	2	2	no	—
803	#97	—	2	2	no	—
804	#97	—	2	2	no	—
805	#97	—	4	1	no	—
806	#97	—	4	1	no	—
807	#97	—	4	1	no	—
808	#97	—	4	1	no	—
809	#97	—	4	1	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	#95	C₂²×C₄	1	1	yes	characteristic
817	#95	C₂²×C₄	1	1	yes	characteristic
818	#95	C₂²×C₄	1	1	yes	characteristic
819	#95	C₂²×C₄	1	1	yes	characteristic
820	#95	C₂²×C₄	1	1	yes	characteristic
821	#95	C₂²×C₄	1	1	yes	characteristic
822	#95	C₂²×C₄	1	1	yes	characteristic
823	#95	C₂²×C₄	1	1	yes	characteristic
824	#95	C₂²×C₄	1	1	yes	characteristic
825	#95	C₂²×C₄	1	1	yes	characteristic
826	#95	C₂²×C₄	1	1	yes	characteristic
827	#95	C₂²×C₄	1	1	yes	characteristic
828	#95	C₂²×C₄	1	1	yes	characteristic
829	#95	C₂²×C₄	1	1	yes	characteristic
830	#95	C₂²×C₄	1	1	yes	characteristic
831	#95	C₂²×C₄	1	1	yes	characteristic
832	#95	C₂²×C₄	1	1	yes	characteristic
833	#95	C₂²×C₄	1	1	yes	characteristic
834	#95	C₂²×C₄	1	1	yes	characteristic
835	#95	C₂²×C₄	1	1	yes	characteristic
836	C₂⁴	C₂³×C₄	1	1	yes	characteristic
837	C₂⁴	C₂³×C₄	1	1	yes	characteristic
838	C₂⁴	C₂³×C₄	1	1	yes	characteristic
839	C₂⁴	C₂³×C₄	1	1	yes	characteristic
840	C₂⁴	C₂³×C₄	1	1	yes	characteristic
841	C₂⁴	C₂³×C₄	1	1	yes	characteristic
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	2	no	—
844	C₂×Q₈	—	4	1	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	4	1	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	—	4	1	no	—
866	C₂×D₄	—	4	1	no	—
867	C₂×D₄	—	4	1	no	—
868	C₂×D₄	—	4	1	no	—
869	C₂×D₄	—	4	1	no	—
870	C₂×D₄	—	4	1	no	—
871	C₂×D₄	—	4	1	no	—
872	C₂×D₄	—	4	1	no	—
873	C₂×D₄	—	4	1	no	—
874	C₂×D₄	—	4	1	no	—
875	C₂×D₄	—	4	1	no	—
876	C₂×D₄	—	4	1	no	—
877	C₂×D₄	—	4	1	no	—
878	C₂×D₄	—	4	1	no	—
879	C₂×D₄	—	4	1	no	—
880	C₂×D₄	—	4	1	no	—
881	C₂×D₄	—	4	1	no	—
882	C₂×D₄	—	4	1	no	—
883	C₂×D₄	—	4	1	no	—
884	C₂×D₄	—	4	1	no	—
885	C₂×D₄	—	4	1	no	—
886	C₂×D₄	—	4	1	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	#131	1	4	yes	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	4	1	no	—
931	C₂²×C₄	—	4	1	no	—
932	C₂²×C₄	—	4	1	no	—
933	C₂²×C₄	—	4	1	no	—
934	C₂²×C₄	—	4	1	no	—
935	C₂²×C₄	—	4	1	no	—
936	C₂²×C₄	—	4	1	no	—
937	C₂²×C₄	—	4	1	no	—
938	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
941	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
942	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
943	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
944	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
945	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
946	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
947	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
948	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
949	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
950	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
951	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
952	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
953	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
954	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
955	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
956	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
957	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
958	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
959	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
960	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
961	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
962	C₂²×C₄	C₂⁵	1	1	yes	characteristic
963	M₁₆	—	4	4	no	—
964	M₁₆	—	8	2	no	—
965	M₁₆	—	8	2	no	—
966	M₁₆	—	8	2	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	—	2	1	no	—
976	C₂×C₈	—	2	1	no	—
977	C₂×C₈	—	2	1	no	—
978	C₂×C₈	—	2	1	no	—
979	C₂×C₈	—	2	1	no	—
980	C₂×C₈	—	2	1	no	—
981	C₂×C₈	—	2	1	no	—
982	C₂×C₈	—	2	1	no	—
983	C₂×C₈	—	2	1	no	—
984	C₂×C₈	—	2	1	no	—
985	C₂×C₈	—	2	1	no	—
986	C₂×C₈	—	2	1	no	—
987	C₂×C₈	—	2	1	no	—
988	C₂×C₈	—	2	1	no	—
989	C₂×C₈	—	2	1	no	—
990	C₂×C₈	—	2	1	no	—
991	C₂×C₈	—	2	1	no	—
992	C₂×C₈	—	2	1	no	—
993	C₂×C₈	—	2	1	no	—
994	C₂×C₈	—	2	1	no	—
995	C₂×C₈	—	2	1	no	—
996	C₂×C₈	—	2	1	no	—
997	C₂×C₈	—	2	1	no	—
998	C₂×C₈	—	2	1	no	—
999	C₂×C₈	—	2	1	no	—
1000	C₂×C₈	—	2	1	no	—
1001	C₂×C₈	—	2	1	no	—
1002	C₂×C₈	—	2	1	no	—
1003	C₂×C₈	—	2	1	no	—
1004	C₂×C₈	—	2	1	no	—
1005	C₂×C₈	—	2	1	no	—
1006	C₂×C₈	—	2	1	no	—
1007	C₂×C₈	—	2	1	no	—
1008	C₂×C₈	—	2	1	no	—
1009	C₂×C₈	—	2	1	no	—
1010	C₂×C₈	—	2	1	no	—
1011	C₂×C₈	—	2	1	no	—
1012	C₂×C₈	—	2	1	no	—
1013	C₂×C₈	—	2	1	no	—
1014	C₂×C₈	—	4	4	no	—
1015	C₂×C₈	—	8	2	no	—
1016	C₂×C₈	—	8	2	no	—
1017	C₂×C₈	—	8	2	no	—
1018	C₂×C₈	—	8	2	no	—
1019	C₂×C₈	—	8	2	no	—
1020	C₂×C₈	—	8	2	no	—
1021	C₂×C₈	—	8	2	no	—
1022	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	2	2	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	4	1	no	—
1046	C₄⋊C₄	—	4	1	no	—
1047	C₄⋊C₄	—	4	1	no	—
1048	C₄⋊C₄	—	4	1	no	—
1049	C₄⋊C₄	—	4	1	no	—
1050	C₄⋊C₄	—	4	1	no	—
1051	C₄⋊C₄	—	4	1	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	4	1	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	4	1	no	—
1070	C₂²⋊C₄	—	4	1	no	—
1071	C₂²⋊C₄	—	4	1	no	—
1072	C₂²⋊C₄	—	4	1	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	no	—
1076	C₂²⋊C₄	—	4	1	no	—
1077	C₂²⋊C₄	—	4	1	no	—
1078	C₂²⋊C₄	—	4	1	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	1	no	—
1081	C₂²⋊C₄	—	4	1	no	—
1082	C₂²⋊C₄	—	4	1	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	1	no	—
1085	C₂²⋊C₄	—	4	1	no	—
1086	C₂²⋊C₄	—	4	1	no	—
1087	C₂²⋊C₄	—	4	1	no	—
1088	C₂²⋊C₄	—	4	1	no	—
1089	C₂²⋊C₄	—	4	1	no	—
1090	C₂²⋊C₄	—	4	1	no	—
1091	C₂²⋊C₄	—	4	1	no	—
1092	C₂²⋊C₄	—	4	1	no	—
1093	C₂²⋊C₄	—	4	1	no	—
1094	C₂²⋊C₄	—	4	1	no	—
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	4	1	no	—
1099	C₂²⋊C₄	—	4	1	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₄²	—	2	2	no	—
1108	C₄²	—	2	2	no	—
1109	C₄²	—	2	2	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	1	no	—
1113	C₄²	—	2	1	no	—
1114	C₄²	—	2	1	no	—
1115	C₄²	—	2	1	no	—
1116	C₄²	—	2	1	no	—
1117	C₄²	—	2	1	no	—
1118	C₄²	—	2	1	no	—
1119	C₄²	—	2	1	no	—
1120	C₄²	—	2	1	no	—
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	2	1	no	—
1124	C₄²	—	2	1	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	2	1	no	—
1127	C₄²	—	2	1	no	—
1128	C₄²	—	4	1	no	—
1129	C₄²	—	4	1	no	—
1130	C₄²	—	4	1	no	—
1131	C₄²	—	4	1	no	—
1132	C₄²	—	4	1	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	—	4	1	no	—
1138	C₄²	—	4	1	no	—
1139	C₄²	H(5,𝔽₂)	1	2	yes	—
1140	C₄²	H(5,𝔽₂)	1	2	yes	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	C₂×#131	1	2	yes	—
1182	C₂³	C₂×#131	1	2	yes	—
1183	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1184	Q₈	—	4	4	no	—
1185	D₄	—	4	4	no	—
1186	D₄	—	4	4	no	—
1187	D₄	—	4	4	no	—
1188	D₄	—	4	4	no	—
1189	D₄	—	8	2	no	—
1190	D₄	—	8	2	no	—
1191	D₄	—	8	2	no	—
1192	D₄	—	8	2	no	—
1193	D₄	—	8	2	no	—
1194	D₄	—	8	2	no	—
1195	D₄	—	8	2	no	—
1196	D₄	—	8	2	no	—
1197	D₄	—	8	2	no	—
1198	D₄	—	8	2	no	—
1199	D₄	—	8	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	4	1	no	—
1268	C₂×C₄	—	4	1	no	—
1269	C₂×C₄	—	4	1	no	—
1270	C₂×C₄	—	4	1	no	—
1271	C₂×C₄	—	4	1	no	—
1272	C₂×C₄	—	4	1	no	—
1273	C₂×C₄	—	4	1	no	—
1274	C₂×C₄	—	4	1	no	—
1275	C₂×C₄	—	4	1	no	—
1276	C₂×C₄	—	4	1	no	—
1277	C₂×C₄	—	4	1	no	—
1278	C₂×C₄	—	4	1	no	—
1279	C₂×C₄	—	4	1	no	—
1280	C₂×C₄	—	4	1	no	—
1281	C₂×C₄	—	4	1	no	—
1282	C₂×C₄	—	4	1	no	—
1283	C₂×C₄	—	4	1	no	—
1284	C₂×C₄	—	4	1	no	—
1285	C₂×C₄	—	4	1	no	—
1286	C₂×C₄	—	4	1	no	—
1287	C₂×C₄	—	4	1	no	—
1288	C₂×C₄	—	4	1	no	—
1289	C₂×C₄	—	4	1	no	—
1290	C₂×C₄	—	4	1	no	—
1291	C₂×C₄	—	8	2	no	—
1292	C₂×C₄	—	8	2	no	—
1293	C₂×C₄	—	8	2	no	—
1294	C₂×C₄	—	8	2	no	—
1295	C₂×C₄	#518	1	2	yes	—
1296	C₂×C₄	#518	1	2	yes	—
1297	C₂×C₄	C₂×#131	1	2	yes	—
1298	C₂×C₄	#568	1	2	yes	—
1299	C₂×C₄	#568	1	2	yes	—
1300	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1301	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1302	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1303	C₂×C₄	#585	1	1	yes	characteristic
1304	C₂×C₄	#585	1	1	yes	characteristic
1305	C₂×C₄	#585	1	1	yes	characteristic
1306	C₈	—	2	2	no	—
1307	C₈	—	4	1	no	—
1308	C₈	—	4	1	no	—
1309	C₈	—	4	1	no	—
1310	C₈	—	4	1	no	—
1311	C₈	—	4	1	no	—
1312	C₈	—	4	1	no	—
1313	C₈	—	4	1	no	—
1314	C₈	—	4	1	no	—
1315	C₈	—	4	1	no	—
1316	C₈	—	4	1	no	—
1317	C₈	—	4	1	no	—
1318	C₈	—	4	1	no	—
1319	C₈	—	4	1	no	—
1320	C₈	—	4	1	no	—
1321	C₈	—	4	1	no	—
1322	C₂²	—	2	2	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	2	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	2	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	1	no	—
1330	C₂²	—	4	1	no	—
1331	C₂²	—	4	1	no	—
1332	C₂²	—	4	1	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	1	no	—
1353	C₂²	—	4	1	no	—
1354	C₂²	—	4	1	no	—
1355	C₂²	—	4	1	no	—
1356	C₂²	—	4	1	no	—
1357	C₂²	—	4	1	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	4	1	no	—
1362	C₂²	—	4	1	no	—
1363	C₂²	—	4	1	no	—
1364	C₂²	C₂×#518	1	1	yes	characteristic
1365	C₂²	#3428	1	1	yes	characteristic
1366	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1367	C₂²	C₂²×#131	1	1	yes	characteristic
1368	C₂²	C₂×#568	1	1	yes	characteristic
1369	C₂²	C₂×#568	1	1	yes	characteristic
1370	C₂²	#3573	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	2	2	no	—
1373	C₄	—	2	2	no	—
1374	C₄	—	2	2	no	—
1375	C₄	—	2	2	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	4	1	no	—
1392	C₄	—	4	1	no	—
1393	C₄	—	4	1	no	—
1394	C₄	—	4	1	no	—
1395	C₄	#3539	1	1	yes	characteristic
1396	C₄	#3542	1	1	yes	characteristic
1397	C₄	#3546	1	1	yes	characteristic
1398	C₄	#3562	1	1	yes	characteristic
1399	C₂	—	4	2	no	—
1400	C₂	—	4	2	no	—
1401	C₂	—	8	1	no	—
1402	C₂	—	8	1	no	—
1403	C₂	—	8	1	no	—
1404	C₂	—	8	1	no	—
1405	C₂	#34477	1	1	yes	characteristic
1406	C₂	#60237	1	1	yes	characteristic
1407	C₂	#60239	1	1	yes	characteristic
1408	C₂	#60288	1	1	yes	characteristic
1409	C₂	#60302	1	1	yes	characteristic
1410	C₂	#60316	1	1	yes	characteristic
1411	C₂	#60323	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#2541	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #23356	C₂	semidirect
3. #23355	C₂	semidirect
4. #23333	C₂	semidirect
5. #23330	C₂	semidirect
6. #23175	C₂	semidirect
7. #23123	C₂	semidirect
8. #23120	C₂	semidirect
9. #23089	C₂	semidirect
10. #22991	C₂	semidirect
11. #22830	C₂	semidirect
12. #22790	C₂	semidirect
13. #22785	C₂	semidirect
14. #22757	C₂	semidirect
15. #22470	C₂	semidirect
16. #22470	C₂	semidirect
17. #22339	C₂	semidirect
18. #22334	C₂	semidirect
19. #22266	C₂	semidirect
20. #22262	C₂	semidirect
21. #22260	C₂	semidirect
22. #22176	C₂	semidirect
23. #22175	C₂	semidirect
24. #22142	C₂	semidirect
25. #22022	C₂	semidirect
26. #22005	C₂	semidirect
27. #22000	C₂	semidirect
28. #21855	C₂	semidirect
29. #21496	C₂	semidirect
30. #21381	C₂	semidirect
31. #21110	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34934	2
#23356	2
#23355	2
#23333	2
#23330	2
#23175	2
#23123	2
#23120	2
#23089	2
#22991	2
#22830	2
#22790	2
#22785	2
#22757	2
#22470	2
#22339	2
#22334	2
#22266	2
#22262	2
#22260	2
#22176	2
#22175	2
#22142	2
#22022	2
#22005	2
#22000	2
#21855	2
#21496	2
#21381	2
#21110	2