Subgroups — #6431037

Order 512.

1303 conjugacy classes of subgroups.

The subgroup lattice has 1167 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52298	C₂	1	1	yes	maximal, characteristic
2	#23381	C₂	1	1	yes	maximal, characteristic, complemented
3	#23379	C₂	1	1	yes	maximal, characteristic, complemented
4	#23367	C₂	1	1	yes	maximal, characteristic, complemented
5	#23299	C₂	1	1	yes	maximal, characteristic
6	#23280	C₂	1	1	yes	maximal, characteristic, complemented
7	#23278	C₂	1	1	yes	maximal, characteristic, complemented
8	#23255	C₂	1	1	yes	maximal, characteristic, complemented
9	#23254	C₂	1	1	yes	maximal, characteristic, complemented
10	#23238	C₂	1	1	yes	maximal, characteristic, complemented
11	#23204	C₂	1	1	yes	maximal, characteristic
12	#23149	C₂	1	1	yes	maximal, characteristic, complemented
13	#23052	C₂	1	1	yes	maximal, characteristic, complemented
14	#22959	C₂	1	1	yes	maximal, characteristic, complemented
15	#22958	C₂	1	1	yes	maximal, characteristic, complemented
16	#22900	C₂	1	1	yes	maximal, characteristic
17	#22391	C₂	1	1	yes	maximal, characteristic
18	#22377	C₂	1	1	yes	maximal, characteristic, complemented
19	#22373	C₂	1	1	yes	maximal, characteristic, complemented
20	#22359	C₂	1	1	yes	maximal, characteristic
21	#22345	C₂	1	1	yes	maximal, characteristic, complemented
22	#22345	C₂	1	1	yes	maximal, characteristic, complemented
23	#22328	C₂	1	1	yes	maximal, characteristic, complemented
24	#22320	C₂	1	1	yes	maximal, characteristic, complemented
25	#22309	C₂	1	1	yes	maximal, characteristic, complemented
26	#22291	C₂	1	1	yes	maximal, characteristic, complemented
27	#22098	C₂	1	1	yes	maximal, characteristic, complemented
28	#22064	C₂	1	1	yes	maximal, characteristic
29	#21718	C₂	1	1	yes	maximal, characteristic, complemented
30	#21669	C₂	1	1	yes	maximal, characteristic, complemented
31	#21668	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#446	C₂²	1	1	yes	characteristic
33	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
36	C₂×#431	C₂²	1	1	yes	characteristic
37	C₂×#424	C₂²	1	1	yes	characteristic
38	#2793	C₄	1	1	yes	characteristic
39	#2787	C₄	1	1	yes	characteristic
40	#2774	C₄	1	1	yes	characteristic
41	#2773	C₄	1	1	yes	characteristic
42	#2766	C₄	1	1	yes	characteristic
43	#2762	C₄	1	1	yes	characteristic
44	#2759	C₄	1	1	yes	characteristic
45	#2738	C₄	1	1	yes	characteristic
46	#2725	C₄	1	1	yes	characteristic
47	#2723	C₄	1	1	yes	characteristic
48	#2720	C₄	1	1	yes	characteristic
49	#2715	C₄	1	1	yes	characteristic
50	#2713	C₄	1	1	yes	characteristic
51	#2707	C₄	1	1	yes	characteristic
52	#2698	C₄	1	1	yes	characteristic
53	#2674	C₄	1	1	yes	characteristic
54	#2401	C₂²	1	1	yes	characteristic
55	#2401	C₂²	1	1	yes	characteristic
56	#2399	C₂²	1	1	yes	characteristic
57	#2396	C₂²	1	1	yes	characteristic
58	#2396	C₂²	1	1	yes	characteristic
59	#2395	C₂²	1	1	yes	characteristic
60	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
61	C₄×#125	C₂²	1	1	yes	characteristic
62	C₄×#125	C₂²	1	1	yes	characteristic
63	C₄×#126	C₂²	1	1	yes	characteristic
64	C₄×#126	C₂²	1	1	yes	characteristic
65	C₄×#124	C₂²	1	1	yes	characteristic
66	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	C₄×#123	C₂²	1	1	yes	characteristic
69	#1985	C₂²	1	1	yes	characteristic
70	#1985	C₂²	1	1	yes	characteristic
71	#1985	C₂²	1	1	yes	characteristic
72	#1985	C₂²	1	1	yes	characteristic
73	#1984	C₂²	1	1	yes	characteristic
74	#1984	C₂²	1	1	yes	characteristic
75	#1984	C₂²	1	1	yes	characteristic
76	#1984	C₂²	1	1	yes	characteristic
77	#1984	C₂²	1	1	yes	characteristic
78	#1954	C₂²	1	1	yes	characteristic
79	#1940	C₂²	1	1	yes	characteristic
80	#1940	C₂²	1	1	yes	characteristic
81	#1940	C₂²	1	1	yes	characteristic
82	#1940	C₂²	1	1	yes	characteristic
83	#1939	C₂²	1	1	yes	characteristic
84	#1939	C₂²	1	1	yes	characteristic
85	#1939	C₂²	1	1	yes	characteristic
86	#1939	C₂²	1	1	yes	characteristic
87	#1939	C₂²	1	1	yes	characteristic
88	#1939	C₂²	1	1	yes	characteristic
89	#1939	C₂²	1	1	yes	characteristic
90	#1939	C₂²	1	1	yes	characteristic
91	#1939	C₂²	1	1	yes	characteristic
92	#1939	C₂²	1	1	yes	characteristic
93	#1939	C₂²	1	1	yes	characteristic
94	#1939	C₂²	1	1	yes	characteristic
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic
98	#1924	C₂²	1	1	yes	characteristic
99	#1924	C₂²	1	1	yes	characteristic
100	#1924	C₂²	1	1	yes	characteristic
101	#1924	C₂²	1	1	yes	characteristic
102	#1924	C₂²	1	1	yes	characteristic
103	#1923	C₂²	1	1	yes	characteristic
104	#1923	C₂²	1	1	yes	characteristic
105	#1923	C₂²	1	1	yes	characteristic
106	#1923	C₂²	1	1	yes	characteristic
107	#1923	C₂²	1	1	yes	characteristic
108	#1923	C₂²	1	1	yes	characteristic
109	#1923	C₂²	1	1	yes	characteristic
110	#1923	C₂²	1	1	yes	characteristic
111	#1923	C₂²	1	1	yes	characteristic
112	#1923	C₂²	1	1	yes	characteristic
113	#1923	C₂²	1	1	yes	characteristic
114	#1923	C₂²	1	1	yes	characteristic
115	#1917	C₂²	1	1	yes	characteristic
116	#1917	C₂²	1	1	yes	characteristic
117	#1917	C₂²	1	1	yes	characteristic
118	#1917	C₂²	1	1	yes	characteristic
119	#1917	C₂²	1	1	yes	characteristic
120	#1917	C₂²	1	1	yes	characteristic
121	#1917	C₂²	1	1	yes	characteristic
122	#1917	C₂²	1	1	yes	characteristic
123	#1917	C₂²	1	1	yes	characteristic
124	#1917	C₂²	1	1	yes	characteristic
125	#1916	C₂²	1	1	yes	characteristic
126	#1916	C₂²	1	1	yes	characteristic
127	#1916	C₂²	1	1	yes	characteristic
128	#1916	C₂²	1	1	yes	characteristic
129	#1916	C₂²	1	1	yes	characteristic
130	#1916	C₂²	1	1	yes	characteristic
131	#1916	C₂²	1	1	yes	characteristic
132	#1916	C₂²	1	1	yes	characteristic
133	#1916	C₂²	1	1	yes	characteristic
134	#1916	C₂²	1	1	yes	characteristic
135	#1916	C₂²	1	1	yes	characteristic
136	#1916	C₂²	1	1	yes	characteristic
137	#1916	C₂²	1	1	yes	characteristic
138	#1916	C₂²	1	1	yes	characteristic
139	#1916	C₂²	1	1	yes	characteristic
140	#1916	C₂²	1	1	yes	characteristic
141	#1916	C₂²	1	1	yes	characteristic
142	#1916	C₂²	1	1	yes	characteristic
143	#1916	C₂²	1	1	yes	characteristic
144	#1916	C₂²	1	1	yes	characteristic
145	#1916	C₂²	1	1	yes	characteristic
146	#1916	C₂²	1	1	yes	characteristic
147	#1870	C₂²	1	1	yes	characteristic
148	#1869	C₂²	1	1	yes	characteristic
149	#1851	C₂²	1	1	yes	characteristic
150	#1851	C₂²	1	1	yes	characteristic
151	#1851	C₂²	1	1	yes	characteristic
152	#1850	C₂²	1	1	yes	characteristic
153	#1850	C₂²	1	1	yes	characteristic
154	#1850	C₂²	1	1	yes	characteristic
155	#1850	C₂²	1	1	yes	characteristic
156	#1850	C₂²	1	1	yes	characteristic
157	#1850	C₂²	1	1	yes	characteristic
158	#1850	C₂²	1	1	yes	characteristic
159	#1843	C₂²	1	1	yes	characteristic
160	#1840	C₂²	1	1	yes	characteristic
161	#1840	C₂²	1	1	yes	characteristic
162	#1839	C₂²	1	1	yes	characteristic
163	#1831	C₂²	1	1	yes	characteristic
164	#1818	C₂²	1	1	yes	characteristic
165	#1797	C₂²	1	1	yes	characteristic
166	#1771	C₂²	1	1	yes	characteristic
167	#1771	C₂²	1	1	yes	characteristic
168	#1771	C₂²	1	1	yes	characteristic
169	#1771	C₂²	1	1	yes	characteristic
170	#1771	C₂²	1	1	yes	characteristic
171	#1771	C₂²	1	1	yes	characteristic
172	#1771	C₂²	1	1	yes	characteristic
173	#1771	C₂²	1	1	yes	characteristic
174	#1770	C₂²	1	1	yes	characteristic
175	#1770	C₂²	1	1	yes	characteristic
176	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
177	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
178	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
179	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
180	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
181	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
182	#1767	C₂²	1	1	yes	characteristic
183	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
187	#1753	C₂²	1	1	yes	characteristic
188	#1753	C₂²	1	1	yes	characteristic
189	#1752	C₂²	1	1	yes	characteristic
190	#1752	C₂²	1	1	yes	characteristic
191	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
192	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
193	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
194	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
195	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
196	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
197	#1750	C₂²	1	1	yes	characteristic
198	#1750	C₂²	1	1	yes	characteristic
199	#1749	C₂²	1	1	yes	characteristic
200	#1744	C₂²	1	1	yes	characteristic
201	C₂×#336	C₂²	1	1	yes	characteristic
202	#1726	C₂²	1	1	yes	characteristic
203	C₂²×M₁₆	C₂³	1	1	yes	characteristic
204	C₂³×C₈	C₂³	1	1	yes	characteristic
205	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
208	C₂×#126	C₂×C₄	1	1	yes	characteristic
209	C₂×#126	C₂×C₄	1	1	yes	characteristic
210	C₂×#125	C₂×C₄	1	1	yes	characteristic
211	C₂×#125	C₂×C₄	1	1	yes	characteristic
212	C₂×#124	C₂×C₄	1	1	yes	characteristic
213	C₂×#123	C₂×C₄	1	1	yes	characteristic
214	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
215	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
217	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
218	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
220	C₂×#117	C₂³	1	1	yes	characteristic
221	C₂²×C₄²	C₂³	1	1	yes	characteristic
222	#446	—	4	2	no	—
223	C₈×Q₈	—	4	2	no	—
224	C₈×Q₈	—	4	2	no	—
225	C₈×D₄	—	4	2	no	—
226	#431	—	4	2	no	—
227	#424	—	4	2	no	—
228	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×#97	C₂³	1	1	yes	characteristic
267	C₂×#97	C₂³	1	1	yes	characteristic
268	C₂×#97	C₂³	1	1	yes	characteristic
269	C₂×#97	C₂³	1	1	yes	characteristic
270	C₂×#97	C₂³	1	1	yes	characteristic
271	C₂×#97	C₂³	1	1	yes	characteristic
272	C₂×#97	C₂³	1	1	yes	characteristic
273	C₂×#97	C₂³	1	1	yes	characteristic
274	C₂×#97	C₂³	1	1	yes	characteristic
275	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
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	#401	C₂×C₄	1	1	yes	characteristic
293	#401	C₂×C₄	1	1	yes	characteristic
294	#400	C₂×C₄	1	1	yes	characteristic
295	#400	C₂×C₄	1	1	yes	characteristic
296	#400	C₂×C₄	1	1	yes	characteristic
297	#400	C₂×C₄	1	1	yes	characteristic
298	#400	C₂×C₄	1	1	yes	characteristic
299	#400	C₂×C₄	1	1	yes	characteristic
300	#400	C₂×C₄	1	1	yes	characteristic
301	#400	C₂×C₄	1	1	yes	characteristic
302	#400	C₂×C₄	1	1	yes	characteristic
303	#399	C₂×C₄	1	1	yes	characteristic
304	#399	C₂×C₄	1	1	yes	characteristic
305	#399	C₂×C₄	1	1	yes	characteristic
306	#398	C₂×C₄	1	1	yes	characteristic
307	#398	C₂×C₄	1	1	yes	characteristic
308	#398	C₂×C₄	1	1	yes	characteristic
309	#398	C₂×C₄	1	1	yes	characteristic
310	#398	C₂×C₄	1	1	yes	characteristic
311	#398	C₂×C₄	1	1	yes	characteristic
312	#398	C₂×C₄	1	1	yes	characteristic
313	#398	C₂×C₄	1	1	yes	characteristic
314	#398	C₂×C₄	1	1	yes	characteristic
315	#397	C₂×C₄	1	1	yes	characteristic
316	#397	C₂×C₄	1	1	yes	characteristic
317	#397	C₂×C₄	1	1	yes	characteristic
318	#397	C₂×C₄	1	1	yes	characteristic
319	#397	C₂×C₄	1	1	yes	characteristic
320	#397	C₂×C₄	1	1	yes	characteristic
321	#397	C₂×C₄	1	1	yes	characteristic
322	#397	C₂×C₄	1	1	yes	characteristic
323	#397	C₂×C₄	1	1	yes	characteristic
324	#396	C₂×C₄	1	1	yes	characteristic
325	#396	C₂×C₄	1	1	yes	characteristic
326	#396	C₂×C₄	1	1	yes	characteristic
327	#396	C₂×C₄	1	1	yes	characteristic
328	#396	C₂×C₄	1	1	yes	characteristic
329	#396	C₂×C₄	1	1	yes	characteristic
330	#395	C₂×C₄	1	1	yes	characteristic
331	#395	C₂×C₄	1	1	yes	characteristic
332	#395	C₂×C₄	1	1	yes	characteristic
333	#395	C₂×C₄	1	1	yes	characteristic
334	#395	C₂×C₄	1	1	yes	characteristic
335	#395	C₂×C₄	1	1	yes	characteristic
336	#394	C₂×C₄	1	1	yes	characteristic
337	#394	C₂×C₄	1	1	yes	characteristic
338	#393	C₂×C₄	1	1	yes	characteristic
339	#393	C₂×C₄	1	1	yes	characteristic
340	#391	C₂×C₄	1	1	yes	characteristic
341	#391	C₂×C₄	1	1	yes	characteristic
342	#391	C₂×C₄	1	1	yes	characteristic
343	#391	C₂×C₄	1	1	yes	characteristic
344	#391	C₂×C₄	1	1	yes	characteristic
345	#390	C₂×C₄	1	1	yes	characteristic
346	#389	C₂×C₄	1	1	yes	characteristic
347	#389	C₂×C₄	1	1	yes	characteristic
348	#389	C₂×C₄	1	1	yes	characteristic
349	#389	C₂×C₄	1	1	yes	characteristic
350	#389	C₂×C₄	1	1	yes	characteristic
351	#389	C₂×C₄	1	1	yes	characteristic
352	#389	C₂×C₄	1	1	yes	characteristic
353	#389	C₂×C₄	1	1	yes	characteristic
354	#389	C₂×C₄	1	1	yes	characteristic
355	#389	C₂×C₄	1	1	yes	characteristic
356	#388	C₂×C₄	1	1	yes	characteristic
357	#388	C₂×C₄	1	1	yes	characteristic
358	#388	C₂×C₄	1	1	yes	characteristic
359	#388	C₂×C₄	1	1	yes	characteristic
360	#388	C₂×C₄	1	1	yes	characteristic
361	#388	C₂×C₄	1	1	yes	characteristic
362	#388	C₂×C₄	1	1	yes	characteristic
363	#388	C₂×C₄	1	1	yes	characteristic
364	#388	C₂×C₄	1	1	yes	characteristic
365	#388	C₂×C₄	1	1	yes	characteristic
366	#388	C₂×C₄	1	1	yes	characteristic
367	#388	C₂×C₄	1	1	yes	characteristic
368	#387	C₂×C₄	1	1	yes	characteristic
369	#387	C₂×C₄	1	1	yes	characteristic
370	#387	C₂×C₄	1	1	yes	characteristic
371	#387	C₂×C₄	1	1	yes	characteristic
372	#387	C₂×C₄	1	1	yes	characteristic
373	#387	C₂×C₄	1	1	yes	characteristic
374	#387	C₂×C₄	1	1	yes	characteristic
375	#387	C₂×C₄	1	1	yes	characteristic
376	#387	C₂×C₄	1	1	yes	characteristic
377	#387	C₂×C₄	1	1	yes	characteristic
378	#387	C₂×C₄	1	1	yes	characteristic
379	#387	C₂×C₄	1	1	yes	characteristic
380	#387	C₂×C₄	1	1	yes	characteristic
381	#387	C₂×C₄	1	1	yes	characteristic
382	#387	C₂×C₄	1	1	yes	characteristic
383	#387	C₂×C₄	1	1	yes	characteristic
384	#387	C₂×C₄	1	1	yes	characteristic
385	#387	C₂×C₄	1	1	yes	characteristic
386	#387	C₂×C₄	1	1	yes	characteristic
387	#387	C₂×C₄	1	1	yes	characteristic
388	#386	C₂×C₄	1	1	yes	characteristic
389	#385	C₂×C₄	1	1	yes	characteristic
390	#385	C₂×C₄	1	1	yes	characteristic
391	#385	C₂×C₄	1	1	yes	characteristic
392	#385	C₂×C₄	1	1	yes	characteristic
393	#385	C₂×C₄	1	1	yes	characteristic
394	#384	C₂×C₄	1	1	yes	characteristic
395	#383	C₂×C₄	1	1	yes	characteristic
396	#383	C₂×C₄	1	1	yes	characteristic
397	#382	C₂×C₄	1	1	yes	characteristic
398	#382	C₂×C₄	1	1	yes	characteristic
399	#382	C₂×C₄	1	1	yes	characteristic
400	#381	C₂×C₄	1	1	yes	characteristic
401	#380	C₂×C₄	1	1	yes	characteristic
402	#380	C₂×C₄	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
409	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
410	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
415	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
422	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
424	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
429	#376	C₂³	1	1	yes	characteristic
430	C₄³	C₂³	1	1	yes	characteristic
431	C₄³	C₂³	1	1	yes	characteristic
432	#336	C₂³	1	1	yes	characteristic
433	#336	C₂³	1	1	yes	characteristic
434	#336	C₂³	1	1	yes	characteristic
435	#336	C₂³	1	1	yes	characteristic
436	#336	C₂³	1	1	yes	characteristic
437	#336	C₂³	1	1	yes	characteristic
438	#336	C₂³	1	1	yes	characteristic
439	#336	C₂³	1	1	yes	characteristic
440	#336	C₂³	1	1	yes	characteristic
441	#336	C₂³	1	1	yes	characteristic
442	#336	C₂³	1	1	yes	characteristic
443	#336	C₂³	1	1	yes	characteristic
444	#336	C₂³	1	1	yes	characteristic
445	#336	C₂³	1	1	yes	characteristic
446	#336	C₂³	1	1	yes	characteristic
447	#336	C₂³	1	1	yes	characteristic
448	#336	C₂³	1	1	yes	characteristic
449	#336	C₂³	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
485	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
486	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
487	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
488	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
489	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
490	C₂³×C₄	C₂⁴	1	1	yes	characteristic
491	C₂³×C₄	C₂⁴	1	1	yes	characteristic
492	C₂×M₁₆	—	4	1	no	—
493	C₂×M₁₆	—	4	1	no	—
494	C₂×M₁₆	—	4	1	no	—
495	C₂²×C₈	—	2	2	no	—
496	C₂²×C₈	—	2	2	no	—
497	C₂²×C₈	—	4	1	no	—
498	C₂²×C₈	—	4	1	no	—
499	C₂²×C₈	—	4	1	no	—
500	C₂²×C₈	—	4	1	no	—
501	C₂²×C₈	—	4	1	no	—
502	C₂²×C₈	—	4	1	no	—
503	C₂²×C₈	—	4	1	no	—
504	C₂²×C₈	C₂⁴	1	1	yes	characteristic
505	C₂²×C₈	C₂⁴	1	1	yes	characteristic
506	C₂²×C₈	C₂⁴	1	1	yes	characteristic
507	C₂²×C₈	C₂⁴	1	1	yes	characteristic
508	C₂²×C₈	C₂⁴	1	1	yes	characteristic
509	C₂²×C₈	C₂⁴	1	1	yes	characteristic
510	C₂²×C₈	C₂⁴	1	1	yes	characteristic
511	C₂²×C₈	C₂⁴	1	1	yes	characteristic
512	C₂²×C₈	C₂⁴	1	1	yes	characteristic
513	C₂²×C₈	C₂⁴	1	1	yes	characteristic
514	C₂²×C₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₈	C₂⁴	1	1	yes	characteristic
516	C₂²×C₈	C₂⁴	1	1	yes	characteristic
517	C₂²×C₈	C₂⁴	1	1	yes	characteristic
518	C₂²×C₈	C₂⁴	1	1	yes	characteristic
519	C₂²×C₈	C₂⁴	1	1	yes	characteristic
520	C₄⋊Q₈	—	2	4	no	—
521	#126	—	2	4	no	—
522	#126	—	4	2	no	—
523	#125	—	2	4	no	—
524	#125	—	4	2	no	—
525	#124	—	2	4	no	—
526	#123	—	2	4	no	—
527	C₂²⋊Q₈	—	2	4	no	—
528	C₂²⋊Q₈	—	4	2	no	—
529	C₄×Q₈	—	4	1	no	—
530	C₄×Q₈	—	4	1	no	—
531	C₄×Q₈	—	4	1	no	—
532	C₄×Q₈	—	4	1	no	—
533	C₄×Q₈	—	4	1	no	—
534	C₄×Q₈	—	4	1	no	—
535	C₄×D₄	—	4	1	no	—
536	C₄×D₄	—	4	1	no	—
537	#117	—	4	1	no	—
538	#117	—	4	1	no	—
539	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄²	—	4	1	no	—
608	C₂×C₄²	—	4	1	no	—
609	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₄²	C₂⁴	1	1	yes	characteristic
620	C₂×C₄²	C₂⁴	1	1	yes	characteristic
621	C₂×C₄²	C₂⁴	1	1	yes	characteristic
622	C₂×C₄²	C₂⁴	1	1	yes	characteristic
623	C₂×C₄²	C₂⁴	1	1	yes	characteristic
624	C₂×C₄²	C₂⁴	1	1	yes	characteristic
625	C₂×C₄²	C₂⁴	1	1	yes	characteristic
626	C₂×C₄²	C₂⁴	1	1	yes	characteristic
627	C₂×C₄²	C₂⁴	1	1	yes	characteristic
628	C₂×C₄²	C₂⁴	1	1	yes	characteristic
629	C₂×C₄²	C₂⁴	1	1	yes	characteristic
630	C₂×C₄²	C₂⁴	1	1	yes	characteristic
631	C₂×C₄²	C₂⁴	1	1	yes	characteristic
632	C₄⋊C₈	—	2	2	no	—
633	C₄⋊C₈	—	2	2	no	—
634	C₄⋊C₈	—	2	2	no	—
635	C₄⋊C₈	—	2	2	no	—
636	C₄⋊C₈	—	2	2	no	—
637	C₄⋊C₈	—	2	2	no	—
638	C₄⋊C₈	—	2	2	no	—
639	C₄⋊C₈	—	2	2	no	—
640	C₄⋊C₈	—	4	1	no	—
641	C₄⋊C₈	—	4	1	no	—
642	C₄⋊C₈	—	4	1	no	—
643	C₄⋊C₈	—	4	1	no	—
644	C₄⋊C₈	—	4	1	no	—
645	C₄⋊C₈	—	4	1	no	—
646	C₄⋊C₈	—	4	1	no	—
647	C₄⋊C₈	—	4	1	no	—
648	C₄⋊C₈	—	4	1	no	—
649	C₄⋊C₈	—	4	1	no	—
650	C₄⋊C₈	—	4	1	no	—
651	C₄⋊C₈	—	4	1	no	—
652	C₄⋊C₈	—	4	1	no	—
653	C₄⋊C₈	—	4	1	no	—
654	C₄⋊C₈	—	4	1	no	—
655	C₄⋊C₈	—	4	1	no	—
656	C₄⋊C₈	—	4	1	no	—
657	C₄⋊C₈	—	4	1	no	—
658	C₂²⋊C₈	—	2	2	no	—
659	C₂²⋊C₈	—	2	2	no	—
660	C₂²⋊C₈	—	2	2	no	—
661	C₂²⋊C₈	—	2	2	no	—
662	C₂²⋊C₈	—	4	1	no	—
663	C₂²⋊C₈	—	4	1	no	—
664	C₂²⋊C₈	—	4	1	no	—
665	C₂²⋊C₈	—	4	1	no	—
666	C₂²⋊C₈	—	4	1	no	—
667	C₂²⋊C₈	—	4	1	no	—
668	C₂²⋊C₈	—	4	1	no	—
669	C₂²⋊C₈	—	4	1	no	—
670	#97	—	2	2	no	—
671	#97	—	2	2	no	—
672	#97	—	4	1	no	—
673	#97	—	4	1	no	—
674	#97	—	4	1	no	—
675	#97	—	4	1	no	—
676	#97	—	4	1	no	—
677	#97	—	4	1	no	—
678	#97	—	4	1	no	—
679	C₄×C₈	—	2	2	no	—
680	C₄×C₈	—	2	2	no	—
681	C₄×C₈	—	2	2	no	—
682	C₄×C₈	—	4	1	no	—
683	C₄×C₈	—	4	1	no	—
684	C₄×C₈	—	4	1	no	—
685	C₄×C₈	—	4	1	no	—
686	C₄×C₈	—	4	1	no	—
687	C₄×C₈	—	4	1	no	—
688	C₄×C₈	—	4	1	no	—
689	C₄×C₈	—	4	1	no	—
690	C₄×C₈	—	4	1	no	—
691	C₄×C₈	—	4	1	no	—
692	C₄×C₈	—	4	1	no	—
693	C₄×C₈	—	4	1	no	—
694	C₄×C₈	—	4	1	no	—
695	C₄×C₈	—	4	1	no	—
696	#95	C₂²×C₄	1	1	yes	characteristic
697	#95	C₂²×C₄	1	1	yes	characteristic
698	#95	C₂²×C₄	1	1	yes	characteristic
699	#95	C₂²×C₄	1	1	yes	characteristic
700	#95	C₂²×C₄	1	1	yes	characteristic
701	#95	C₂²×C₄	1	1	yes	characteristic
702	#95	C₂²×C₄	1	1	yes	characteristic
703	#95	C₂²×C₄	1	1	yes	characteristic
704	#95	C₂²×C₄	1	1	yes	characteristic
705	#95	C₂²×C₄	1	1	yes	characteristic
706	#95	C₂²×C₄	1	1	yes	characteristic
707	#95	C₂²×C₄	1	1	yes	characteristic
708	#95	C₂²×C₄	1	1	yes	characteristic
709	#95	C₂²×C₄	1	1	yes	characteristic
710	#95	C₂²×C₄	1	1	yes	characteristic
711	#95	C₂²×C₄	1	1	yes	characteristic
712	#95	C₂²×C₄	1	1	yes	characteristic
713	#95	C₂²×C₄	1	1	yes	characteristic
714	#95	C₂²×C₄	1	1	yes	characteristic
715	#95	C₂²×C₄	1	1	yes	characteristic
716	#95	C₂²×C₄	1	1	yes	characteristic
717	#95	C₂²×C₄	1	1	yes	characteristic
718	#95	C₂²×C₄	1	1	yes	characteristic
719	#95	C₂²×C₄	1	1	yes	characteristic
720	#95	C₂²×C₄	1	1	yes	characteristic
721	#95	C₂²×C₄	1	1	yes	characteristic
722	#95	C₂²×C₄	1	1	yes	characteristic
723	#95	C₂²×C₄	1	1	yes	characteristic
724	#95	C₂²×C₄	1	1	yes	characteristic
725	#95	C₂²×C₄	1	1	yes	characteristic
726	#95	C₂²×C₄	1	1	yes	characteristic
727	#95	C₂²×C₄	1	1	yes	characteristic
728	#95	C₂²×C₄	1	1	yes	characteristic
729	#95	C₂²×C₄	1	1	yes	characteristic
730	#95	C₂²×C₄	1	1	yes	characteristic
731	#95	C₂²×C₄	1	1	yes	characteristic
732	#95	C₂²×C₄	1	1	yes	characteristic
733	#95	C₂²×C₄	1	1	yes	characteristic
734	#95	C₂²×C₄	1	1	yes	characteristic
735	#95	C₂²×C₄	1	1	yes	characteristic
736	#95	C₂²×C₄	1	1	yes	characteristic
737	#95	C₂²×C₄	1	1	yes	characteristic
738	#95	C₂²×C₄	1	1	yes	characteristic
739	#95	C₂²×C₄	1	1	yes	characteristic
740	#95	C₂²×C₄	1	1	yes	characteristic
741	#95	C₂²×C₄	1	1	yes	characteristic
742	#95	C₂²×C₄	1	1	yes	characteristic
743	#95	C₂²×C₄	1	1	yes	characteristic
744	#95	C₂²×C₄	1	1	yes	characteristic
745	#95	C₂²×C₄	1	1	yes	characteristic
746	#95	C₂²×C₄	1	1	yes	characteristic
747	#95	C₂²×C₄	1	1	yes	characteristic
748	#95	C₂²×C₄	1	1	yes	characteristic
749	#95	C₂²×C₄	1	1	yes	characteristic
750	#95	C₂²×C₄	1	1	yes	characteristic
751	#95	C₂²×C₄	1	1	yes	characteristic
752	C₂⁴	C₂³×C₄	1	1	yes	characteristic
753	C₂⁴	C₂³×C₄	1	1	yes	characteristic
754	C₂×Q₈	—	2	2	no	—
755	C₂×Q₈	—	2	2	no	—
756	C₂×Q₈	—	2	2	no	—
757	C₂×Q₈	—	2	2	no	—
758	C₂×Q₈	—	4	1	no	—
759	C₂×Q₈	—	4	1	no	—
760	C₂×Q₈	—	4	1	no	—
761	C₂×Q₈	—	4	1	no	—
762	C₂×Q₈	—	4	1	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	4	1	no	—
766	C₂²×C₄	—	2	2	no	—
767	C₂²×C₄	—	2	2	no	—
768	C₂²×C₄	—	2	1	no	—
769	C₂²×C₄	—	2	1	no	—
770	C₂²×C₄	—	2	1	no	—
771	C₂²×C₄	—	2	1	no	—
772	C₂²×C₄	—	2	1	no	—
773	C₂²×C₄	—	2	1	no	—
774	C₂²×C₄	—	2	1	no	—
775	C₂²×C₄	—	2	1	no	—
776	C₂²×C₄	—	2	1	no	—
777	C₂²×C₄	—	2	1	no	—
778	C₂²×C₄	—	2	1	no	—
779	C₂²×C₄	—	2	1	no	—
780	C₂²×C₄	—	4	1	no	—
781	C₂²×C₄	—	4	1	no	—
782	C₂²×C₄	—	4	1	no	—
783	C₂²×C₄	—	4	1	no	—
784	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
785	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
786	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
787	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
788	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
789	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
790	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
791	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
792	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
793	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
794	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
795	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
796	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
797	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
798	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
799	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
800	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
801	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
802	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
803	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
804	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
805	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
806	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
807	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
808	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
809	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
810	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
811	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
812	C₂²×C₄	C₂⁵	1	1	yes	characteristic
813	M₁₆	—	8	2	no	—
814	C₂×C₈	—	2	1	no	—
815	C₂×C₈	—	2	1	no	—
816	C₂×C₈	—	2	1	no	—
817	C₂×C₈	—	2	1	no	—
818	C₂×C₈	—	2	1	no	—
819	C₂×C₈	—	2	1	no	—
820	C₂×C₈	—	2	1	no	—
821	C₂×C₈	—	2	1	no	—
822	C₂×C₈	—	2	1	no	—
823	C₂×C₈	—	2	1	no	—
824	C₂×C₈	—	2	1	no	—
825	C₂×C₈	—	2	1	no	—
826	C₂×C₈	—	2	1	no	—
827	C₂×C₈	—	2	1	no	—
828	C₂×C₈	—	2	1	no	—
829	C₂×C₈	—	2	1	no	—
830	C₂×C₈	—	2	1	no	—
831	C₂×C₈	—	2	1	no	—
832	C₂×C₈	—	2	1	no	—
833	C₂×C₈	—	2	1	no	—
834	C₂×C₈	—	2	1	no	—
835	C₂×C₈	—	2	1	no	—
836	C₂×C₈	—	2	1	no	—
837	C₂×C₈	—	2	1	no	—
838	C₂×C₈	—	2	1	no	—
839	C₂×C₈	—	2	1	no	—
840	C₂×C₈	—	2	1	no	—
841	C₂×C₈	—	2	1	no	—
842	C₂×C₈	—	2	1	no	—
843	C₂×C₈	—	2	1	no	—
844	C₂×C₈	—	2	1	no	—
845	C₂×C₈	—	2	1	no	—
846	C₂×C₈	—	2	1	no	—
847	C₂×C₈	—	2	1	no	—
848	C₂×C₈	—	2	1	no	—
849	C₂×C₈	—	2	1	no	—
850	C₂×C₈	—	2	1	no	—
851	C₂×C₈	—	2	1	no	—
852	C₂×C₈	—	2	1	no	—
853	C₂×C₈	—	2	1	no	—
854	C₂×C₈	—	2	1	no	—
855	C₂×C₈	—	2	1	no	—
856	C₂×C₈	—	2	1	no	—
857	C₂×C₈	—	2	1	no	—
858	C₂×C₈	—	2	1	no	—
859	C₂×C₈	—	8	2	no	—
860	C₂×C₈	—	8	2	no	—
861	C₂×C₈	—	8	2	no	—
862	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
863	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
864	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	2	2	no	—
868	C₄⋊C₄	—	2	2	no	—
869	C₄⋊C₄	—	2	2	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	4	1	no	—
885	C₄⋊C₄	—	4	1	no	—
886	C₄⋊C₄	—	4	1	no	—
887	C₄⋊C₄	—	4	1	no	—
888	C₄⋊C₄	—	4	1	no	—
889	C₄⋊C₄	—	4	1	no	—
890	C₄⋊C₄	—	4	1	no	—
891	C₄⋊C₄	—	4	1	no	—
892	C₄⋊C₄	—	4	1	no	—
893	C₄⋊C₄	—	4	1	no	—
894	C₄⋊C₄	—	4	1	no	—
895	C₄⋊C₄	—	4	1	no	—
896	C₄⋊C₄	—	4	1	no	—
897	C₄⋊C₄	—	4	1	no	—
898	C₄⋊C₄	—	4	1	no	—
899	C₄⋊C₄	—	4	1	no	—
900	C₄⋊C₄	—	4	1	no	—
901	C₄⋊C₄	—	4	1	no	—
902	C₄⋊C₄	—	4	1	no	—
903	C₄⋊C₄	—	4	1	no	—
904	C₄⋊C₄	—	4	1	no	—
905	C₄⋊C₄	—	4	1	no	—
906	C₄⋊C₄	—	4	1	no	—
907	C₄⋊C₄	—	4	1	no	—
908	C₄⋊C₄	#131	1	4	yes	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	4	1	no	—
921	C₂²⋊C₄	—	4	1	no	—
922	C₂²⋊C₄	—	4	1	no	—
923	C₂²⋊C₄	—	4	1	no	—
924	C₂²⋊C₄	—	4	1	no	—
925	C₂²⋊C₄	—	4	1	no	—
926	C₂²⋊C₄	—	4	1	no	—
927	C₂²⋊C₄	—	4	1	no	—
928	C₂²⋊C₄	—	4	1	no	—
929	C₂²⋊C₄	—	4	1	no	—
930	C₂²⋊C₄	—	4	1	no	—
931	C₂²⋊C₄	—	4	1	no	—
932	C₂²⋊C₄	#131	1	4	yes	—
933	C₄²	—	2	2	no	—
934	C₄²	—	2	2	no	—
935	C₄²	—	2	2	no	—
936	C₄²	—	2	2	no	—
937	C₄²	—	2	2	no	—
938	C₄²	—	2	1	no	—
939	C₄²	—	2	1	no	—
940	C₄²	—	2	1	no	—
941	C₄²	—	2	1	no	—
942	C₄²	—	2	1	no	—
943	C₄²	—	2	1	no	—
944	C₄²	—	2	1	no	—
945	C₄²	—	2	1	no	—
946	C₄²	—	2	1	no	—
947	C₄²	—	2	1	no	—
948	C₄²	—	2	1	no	—
949	C₄²	—	2	1	no	—
950	C₄²	—	2	1	no	—
951	C₄²	—	2	1	no	—
952	C₄²	—	2	1	no	—
953	C₄²	—	2	1	no	—
954	C₄²	—	2	1	no	—
955	C₄²	—	2	1	no	—
956	C₄²	—	2	1	no	—
957	C₄²	—	2	1	no	—
958	C₄²	—	2	1	no	—
959	C₄²	—	2	1	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	2	1	no	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	1	no	—
964	C₄²	—	4	1	no	—
965	C₄²	—	4	1	no	—
966	C₄²	—	4	1	no	—
967	C₄²	—	4	1	no	—
968	C₄²	—	4	1	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	1	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	1	no	—
975	C₂³	—	2	1	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	C₂×#131	1	2	yes	—
983	C₂³	C₂⁴×C₄	1	1	yes	characteristic
984	Q₈	—	4	4	no	—
985	Q₈	—	4	4	no	—
986	Q₈	—	8	2	no	—
987	D₄	—	4	4	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	4	4	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	1	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	C₂×#131	1	2	yes	—
1077	C₂×C₄	C₂×#131	1	2	yes	—
1078	C₂×C₄	C₂×#131	1	2	yes	—
1079	C₂×C₄	C₂×#131	1	2	yes	—
1080	C₂×C₄	C₂×#131	1	2	yes	—
1081	C₂×C₄	#568	1	2	yes	—
1082	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1083	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1084	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1085	C₂×C₄	#585	1	1	yes	characteristic
1086	C₂×C₄	#585	1	1	yes	characteristic
1087	C₂×C₄	#585	1	1	yes	characteristic
1088	C₈	—	2	2	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	2	2	no	—
1091	C₈	—	4	1	no	—
1092	C₈	—	4	1	no	—
1093	C₈	—	4	1	no	—
1094	C₈	—	4	1	no	—
1095	C₈	—	4	1	no	—
1096	C₈	—	4	1	no	—
1097	C₈	—	4	1	no	—
1098	C₈	—	4	1	no	—
1099	C₈	—	4	1	no	—
1100	C₈	—	4	1	no	—
1101	C₈	—	4	1	no	—
1102	C₈	—	4	1	no	—
1103	C₈	—	4	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1119	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1120	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1121	C₂²	C₂²×#131	1	1	yes	characteristic
1122	C₂²	C₂²×#131	1	1	yes	characteristic
1123	C₂²	C₂×#568	1	1	yes	characteristic
1124	C₂²	#3573	1	1	yes	characteristic
1125	C₄	—	2	2	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	1	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	#3552	1	1	yes	characteristic
1154	C₄	#3557	1	1	yes	characteristic
1155	C₄	#3560	1	1	yes	characteristic
1156	C₄	#3564	1	1	yes	characteristic
1157	C₂	—	4	2	no	—
1158	C₂	—	8	1	no	—
1159	C₂	#34525	1	1	yes	characteristic
1160	C₂	#60305	1	1	yes	characteristic
1161	C₂	#60326	1	1	yes	characteristic
1162	C₂	#60335	1	1	yes	characteristic
1163	C₂	#60339	1	1	yes	characteristic
1164	C₂	#60339	1	1	yes	characteristic
1165	C₂	#60341	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂²×D₄	C₂²×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. #23381	C₂	semidirect
3. #23379	C₂	semidirect
4. #23367	C₂	semidirect
6. #23280	C₂	semidirect
7. #23278	C₂	semidirect
8. #23255	C₂	semidirect
9. #23254	C₂	semidirect
10. #23238	C₂	semidirect
12. #23149	C₂	semidirect
13. #23052	C₂	semidirect
14. #22959	C₂	semidirect
15. #22958	C₂	semidirect
18. #22377	C₂	semidirect
19. #22373	C₂	semidirect
21. #22345	C₂	semidirect
22. #22345	C₂	semidirect
23. #22328	C₂	semidirect
24. #22320	C₂	semidirect
25. #22309	C₂	semidirect
26. #22291	C₂	semidirect
27. #22098	C₂	semidirect
29. #21718	C₂	semidirect
30. #21669	C₂	semidirect
31. #21668	C₂	semidirect

Maximal subgroups

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

subgroup	index
#52298	2
#23381	2
#23379	2
#23367	2
#23299	2
#23280	2
#23278	2
#23255	2
#23254	2
#23238	2
#23204	2
#23149	2
#23052	2
#22959	2
#22958	2
#22900	2
#22391	2
#22377	2
#22373	2
#22359	2
#22345	2
#22328	2
#22320	2
#22309	2
#22291	2
#22098	2
#22064	2
#21718	2
#21669	2
#21668	2