Subgroups — #6409995

Order 512.

1144 conjugacy classes of subgroups.

The subgroup lattice has 1107 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34644	C₂	1	1	yes	maximal, characteristic
2	#23368	C₂	1	1	yes	maximal, characteristic, complemented
3	#23368	C₂	1	1	yes	maximal, characteristic, complemented
4	#23367	C₂	1	1	yes	maximal, characteristic, complemented
5	#23367	C₂	1	1	yes	maximal, characteristic, complemented
6	#23246	C₂	1	1	yes	maximal, characteristic
7	#23245	C₂	1	1	yes	maximal, characteristic
8	#23244	C₂	1	1	yes	maximal, characteristic
9	#23243	C₂	1	1	yes	maximal, characteristic
10	#22834	C₂	1	1	yes	maximal, characteristic, complemented
11	#22834	C₂	1	1	yes	maximal, characteristic, complemented
12	#22833	C₂	1	1	yes	maximal, characteristic, complemented
13	#22833	C₂	1	1	yes	maximal, characteristic, complemented
14	#22596	C₂	1	1	yes	maximal, characteristic
15	#22596	C₂	1	1	yes	maximal, characteristic
16	#22595	C₂	1	1	yes	maximal, characteristic
17	#22595	C₂	1	1	yes	maximal, characteristic
18	#22382	C₂	1	1	yes	maximal, characteristic, complemented
19	#22380	C₂	1	1	yes	maximal, characteristic, complemented
20	#22380	C₂	1	1	yes	maximal, characteristic, complemented
21	#22374	C₂	1	1	yes	maximal, characteristic, complemented
22	#22298	C₂	1	1	yes	maximal, characteristic
23	#22292	C₂	1	1	yes	maximal, characteristic
24	#22292	C₂	1	1	yes	maximal, characteristic
25	#22290	C₂	1	1	yes	maximal, characteristic
26	#22027	C₂	1	1	yes	maximal, characteristic, complemented
27	#22027	C₂	1	1	yes	maximal, characteristic, complemented
28	#22026	C₂	1	1	yes	maximal, characteristic, complemented
29	#22026	C₂	1	1	yes	maximal, characteristic, complemented
30	#20780	C₂	1	1	yes	maximal, characteristic
31	#20774	C₂	1	1	yes	maximal, characteristic
32	#2667	C₄	1	1	yes	characteristic
33	#2667	C₄	1	1	yes	characteristic
34	#2667	C₄	1	1	yes	characteristic
35	#2667	C₄	1	1	yes	characteristic
36	#2666	C₄	1	1	yes	characteristic
37	#2666	C₄	1	1	yes	characteristic
38	#2666	C₄	1	1	yes	characteristic
39	#2666	C₄	1	1	yes	characteristic
40	#2666	C₄	1	1	yes	characteristic
41	#2666	C₄	1	1	yes	characteristic
42	#2666	C₄	1	1	yes	characteristic
43	#2666	C₄	1	1	yes	characteristic
44	#2665	C₄	1	1	yes	characteristic
45	#2665	C₄	1	1	yes	characteristic
46	#2665	C₄	1	1	yes	characteristic
47	#2665	C₄	1	1	yes	characteristic
48	#2402	C₂²	1	1	yes	characteristic
49	#2402	C₂²	1	1	yes	characteristic
50	#2399	C₂²	1	1	yes	characteristic
51	#2399	C₂²	1	1	yes	characteristic
52	#2396	C₂²	1	1	yes	characteristic
53	#2396	C₂²	1	1	yes	characteristic
54	#2396	C₂²	1	1	yes	characteristic
55	#2396	C₂²	1	1	yes	characteristic
56	#2295	C₂²	1	1	yes	characteristic
57	#2295	C₂²	1	1	yes	characteristic
58	#2295	C₂²	1	1	yes	characteristic
59	#2295	C₂²	1	1	yes	characteristic
60	#2283	C₂²	1	1	yes	characteristic
61	#2283	C₂²	1	1	yes	characteristic
62	C₄×#117	C₂²	1	1	yes	characteristic
63	#1985	C₂²	1	1	yes	characteristic
64	#1985	C₂²	1	1	yes	characteristic
65	#1985	C₂²	1	1	yes	characteristic
66	#1985	C₂²	1	1	yes	characteristic
67	#1985	C₂²	1	1	yes	characteristic
68	#1985	C₂²	1	1	yes	characteristic
69	#1985	C₂²	1	1	yes	characteristic
70	#1985	C₂²	1	1	yes	characteristic
71	#1984	C₂²	1	1	yes	characteristic
72	#1984	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	#1984	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	#1917	C₂²	1	1	yes	characteristic
88	#1917	C₂²	1	1	yes	characteristic
89	#1917	C₂²	1	1	yes	characteristic
90	#1917	C₂²	1	1	yes	characteristic
91	#1917	C₂²	1	1	yes	characteristic
92	#1917	C₂²	1	1	yes	characteristic
93	#1917	C₂²	1	1	yes	characteristic
94	#1917	C₂²	1	1	yes	characteristic
95	#1917	C₂²	1	1	yes	characteristic
96	#1917	C₂²	1	1	yes	characteristic
97	#1917	C₂²	1	1	yes	characteristic
98	#1917	C₂²	1	1	yes	characteristic
99	#1917	C₂²	1	1	yes	characteristic
100	#1917	C₂²	1	1	yes	characteristic
101	#1917	C₂²	1	1	yes	characteristic
102	#1917	C₂²	1	1	yes	characteristic
103	#1917	C₂²	1	1	yes	characteristic
104	#1917	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	#1916	C₂²	1	1	yes	characteristic
112	#1916	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	#1916	C₂²	1	1	yes	characteristic
118	#1916	C₂²	1	1	yes	characteristic
119	#1916	C₂²	1	1	yes	characteristic
120	#1916	C₂²	1	1	yes	characteristic
121	#1916	C₂²	1	1	yes	characteristic
122	#1916	C₂²	1	1	yes	characteristic
123	#1916	C₂²	1	1	yes	characteristic
124	#1916	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	#1851	C₂²	1	1	yes	characteristic
136	#1851	C₂²	1	1	yes	characteristic
137	#1851	C₂²	1	1	yes	characteristic
138	#1851	C₂²	1	1	yes	characteristic
139	#1850	C₂²	1	1	yes	characteristic
140	#1850	C₂²	1	1	yes	characteristic
141	#1850	C₂²	1	1	yes	characteristic
142	#1850	C₂²	1	1	yes	characteristic
143	#1840	C₂²	1	1	yes	characteristic
144	#1840	C₂²	1	1	yes	characteristic
145	#1840	C₂²	1	1	yes	characteristic
146	#1840	C₂²	1	1	yes	characteristic
147	#1840	C₂²	1	1	yes	characteristic
148	#1840	C₂²	1	1	yes	characteristic
149	#1840	C₂²	1	1	yes	characteristic
150	#1840	C₂²	1	1	yes	characteristic
151	#1840	C₂²	1	1	yes	characteristic
152	#1840	C₂²	1	1	yes	characteristic
153	#1839	C₂²	1	1	yes	characteristic
154	#1839	C₂²	1	1	yes	characteristic
155	#1839	C₂²	1	1	yes	characteristic
156	#1839	C₂²	1	1	yes	characteristic
157	#1832	C₂²	1	1	yes	characteristic
158	#1832	C₂²	1	1	yes	characteristic
159	#1832	C₂²	1	1	yes	characteristic
160	#1832	C₂²	1	1	yes	characteristic
161	#1831	C₂²	1	1	yes	characteristic
162	#1831	C₂²	1	1	yes	characteristic
163	#1817	C₂²	1	1	yes	characteristic
164	#1817	C₂²	1	1	yes	characteristic
165	#1798	C₂²	1	1	yes	characteristic
166	#1798	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	#1770	C₂²	1	1	yes	characteristic
172	#1770	C₂²	1	1	yes	characteristic
173	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
174	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
175	#1768	C₂²	1	1	yes	characteristic
176	#1768	C₂²	1	1	yes	characteristic
177	#1768	C₂²	1	1	yes	characteristic
178	#1768	C₂²	1	1	yes	characteristic
179	#1768	C₂²	1	1	yes	characteristic
180	#1768	C₂²	1	1	yes	characteristic
181	#1753	C₂²	1	1	yes	characteristic
182	#1753	C₂²	1	1	yes	characteristic
183	#1753	C₂²	1	1	yes	characteristic
184	#1753	C₂²	1	1	yes	characteristic
185	#1752	C₂²	1	1	yes	characteristic
186	#1752	C₂²	1	1	yes	characteristic
187	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
188	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
189	#1750	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic
191	#1746	C₂²	1	1	yes	characteristic
192	#1746	C₂²	1	1	yes	characteristic
193	#1746	C₂²	1	1	yes	characteristic
194	#1746	C₂²	1	1	yes	characteristic
195	#1745	C₂²	1	1	yes	characteristic
196	#1744	C₂²	1	1	yes	characteristic
197	#1729	C₂²	1	1	yes	characteristic
198	#1729	C₂²	1	1	yes	characteristic
199	#1729	C₂²	1	1	yes	characteristic
200	#1729	C₂²	1	1	yes	characteristic
201	#1728	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	C₂³×C₈	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
208	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
209	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
210	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
211	C₂×#117	C₂³	1	1	yes	characteristic
212	C₂×#117	C₂³	1	1	yes	characteristic
213	C₂²×C₄²	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
238	C₂×#97	C₂³	1	1	yes	characteristic
239	C₂×#97	C₂³	1	1	yes	characteristic
240	C₂×#97	C₂³	1	1	yes	characteristic
241	C₂×#97	C₂³	1	1	yes	characteristic
242	C₂×#97	C₂³	1	1	yes	characteristic
243	C₂×#97	C₂³	1	1	yes	characteristic
244	C₂×#97	C₂³	1	1	yes	characteristic
245	C₂×#97	C₂³	1	1	yes	characteristic
246	C₂×#97	C₂³	1	1	yes	characteristic
247	C₂×#97	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×C₄×C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
258	#400	C₂×C₄	1	1	yes	characteristic
259	#400	C₂×C₄	1	1	yes	characteristic
260	#400	C₂×C₄	1	1	yes	characteristic
261	#400	C₂×C₄	1	1	yes	characteristic
262	#400	C₂×C₄	1	1	yes	characteristic
263	#400	C₂×C₄	1	1	yes	characteristic
264	#400	C₂×C₄	1	1	yes	characteristic
265	#400	C₂×C₄	1	1	yes	characteristic
266	#400	C₂×C₄	1	1	yes	characteristic
267	#400	C₂×C₄	1	1	yes	characteristic
268	#400	C₂×C₄	1	1	yes	characteristic
269	#400	C₂×C₄	1	1	yes	characteristic
270	#399	C₂×C₄	1	1	yes	characteristic
271	#399	C₂×C₄	1	1	yes	characteristic
272	#399	C₂×C₄	1	1	yes	characteristic
273	#399	C₂×C₄	1	1	yes	characteristic
274	#398	C₂×C₄	1	1	yes	characteristic
275	#398	C₂×C₄	1	1	yes	characteristic
276	#398	C₂×C₄	1	1	yes	characteristic
277	#398	C₂×C₄	1	1	yes	characteristic
278	#398	C₂×C₄	1	1	yes	characteristic
279	#398	C₂×C₄	1	1	yes	characteristic
280	#398	C₂×C₄	1	1	yes	characteristic
281	#398	C₂×C₄	1	1	yes	characteristic
282	#398	C₂×C₄	1	1	yes	characteristic
283	#398	C₂×C₄	1	1	yes	characteristic
284	#398	C₂×C₄	1	1	yes	characteristic
285	#398	C₂×C₄	1	1	yes	characteristic
286	#398	C₂×C₄	1	1	yes	characteristic
287	#398	C₂×C₄	1	1	yes	characteristic
288	#398	C₂×C₄	1	1	yes	characteristic
289	#398	C₂×C₄	1	1	yes	characteristic
290	#398	C₂×C₄	1	1	yes	characteristic
291	#398	C₂×C₄	1	1	yes	characteristic
292	#398	C₂×C₄	1	1	yes	characteristic
293	#398	C₂×C₄	1	1	yes	characteristic
294	#398	C₂×C₄	1	1	yes	characteristic
295	#398	C₂×C₄	1	1	yes	characteristic
296	#398	C₂×C₄	1	1	yes	characteristic
297	#398	C₂×C₄	1	1	yes	characteristic
298	#396	C₂×C₄	1	1	yes	characteristic
299	#396	C₂×C₄	1	1	yes	characteristic
300	#396	C₂×C₄	1	1	yes	characteristic
301	#396	C₂×C₄	1	1	yes	characteristic
302	#396	C₂×C₄	1	1	yes	characteristic
303	#396	C₂×C₄	1	1	yes	characteristic
304	#396	C₂×C₄	1	1	yes	characteristic
305	#396	C₂×C₄	1	1	yes	characteristic
306	#395	C₂×C₄	1	1	yes	characteristic
307	#395	C₂×C₄	1	1	yes	characteristic
308	#395	C₂×C₄	1	1	yes	characteristic
309	#395	C₂×C₄	1	1	yes	characteristic
310	#395	C₂×C₄	1	1	yes	characteristic
311	#395	C₂×C₄	1	1	yes	characteristic
312	#395	C₂×C₄	1	1	yes	characteristic
313	#395	C₂×C₄	1	1	yes	characteristic
314	#395	C₂×C₄	1	1	yes	characteristic
315	#395	C₂×C₄	1	1	yes	characteristic
316	#395	C₂×C₄	1	1	yes	characteristic
317	#395	C₂×C₄	1	1	yes	characteristic
318	#393	C₂×C₄	1	1	yes	characteristic
319	#393	C₂×C₄	1	1	yes	characteristic
320	#393	C₂×C₄	1	1	yes	characteristic
321	#393	C₂×C₄	1	1	yes	characteristic
322	#391	C₂×C₄	1	1	yes	characteristic
323	#391	C₂×C₄	1	1	yes	characteristic
324	#391	C₂×C₄	1	1	yes	characteristic
325	#391	C₂×C₄	1	1	yes	characteristic
326	#391	C₂×C₄	1	1	yes	characteristic
327	#391	C₂×C₄	1	1	yes	characteristic
328	#391	C₂×C₄	1	1	yes	characteristic
329	#391	C₂×C₄	1	1	yes	characteristic
330	#389	C₂×C₄	1	1	yes	characteristic
331	#389	C₂×C₄	1	1	yes	characteristic
332	#389	C₂×C₄	1	1	yes	characteristic
333	#389	C₂×C₄	1	1	yes	characteristic
334	#389	C₂×C₄	1	1	yes	characteristic
335	#389	C₂×C₄	1	1	yes	characteristic
336	#389	C₂×C₄	1	1	yes	characteristic
337	#389	C₂×C₄	1	1	yes	characteristic
338	#387	C₂×C₄	1	1	yes	characteristic
339	#387	C₂×C₄	1	1	yes	characteristic
340	#387	C₂×C₄	1	1	yes	characteristic
341	#387	C₂×C₄	1	1	yes	characteristic
342	#387	C₂×C₄	1	1	yes	characteristic
343	#387	C₂×C₄	1	1	yes	characteristic
344	#387	C₂×C₄	1	1	yes	characteristic
345	#387	C₂×C₄	1	1	yes	characteristic
346	#387	C₂×C₄	1	1	yes	characteristic
347	#387	C₂×C₄	1	1	yes	characteristic
348	#387	C₂×C₄	1	1	yes	characteristic
349	#387	C₂×C₄	1	1	yes	characteristic
350	#387	C₂×C₄	1	1	yes	characteristic
351	#387	C₂×C₄	1	1	yes	characteristic
352	#387	C₂×C₄	1	1	yes	characteristic
353	#387	C₂×C₄	1	1	yes	characteristic
354	#383	C₂×C₄	1	1	yes	characteristic
355	#383	C₂×C₄	1	1	yes	characteristic
356	#383	C₂×C₄	1	1	yes	characteristic
357	#383	C₂×C₄	1	1	yes	characteristic
358	#382	C₂×C₄	1	1	yes	characteristic
359	#382	C₂×C₄	1	1	yes	characteristic
360	#382	C₂×C₄	1	1	yes	characteristic
361	#382	C₂×C₄	1	1	yes	characteristic
362	#381	C₂×C₄	1	1	yes	characteristic
363	#381	C₂×C₄	1	1	yes	characteristic
364	#381	C₂×C₄	1	1	yes	characteristic
365	#381	C₂×C₄	1	1	yes	characteristic
366	#380	C₂×C₄	1	1	yes	characteristic
367	#380	C₂×C₄	1	1	yes	characteristic
368	#380	C₂×C₄	1	1	yes	characteristic
369	#380	C₂×C₄	1	1	yes	characteristic
370	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
371	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
372	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
373	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
374	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
375	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
376	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
377	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
378	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
379	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
380	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
381	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
382	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
383	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
384	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
385	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
386	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
387	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
390	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
391	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
392	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
393	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
394	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
395	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
396	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
398	#376	C₂³	1	1	yes	characteristic
399	#376	C₂³	1	1	yes	characteristic
400	#376	C₂³	1	1	yes	characteristic
401	#376	C₂³	1	1	yes	characteristic
402	#376	C₂³	1	1	yes	characteristic
403	#376	C₂³	1	1	yes	characteristic
404	C₄³	C₂³	1	1	yes	characteristic
405	C₄³	C₂³	1	1	yes	characteristic
406	#336	C₂³	1	1	yes	characteristic
407	#336	C₂³	1	1	yes	characteristic
408	#336	C₂³	1	1	yes	characteristic
409	#336	C₂³	1	1	yes	characteristic
410	#336	C₂³	1	1	yes	characteristic
411	#336	C₂³	1	1	yes	characteristic
412	#336	C₂³	1	1	yes	characteristic
413	#336	C₂³	1	1	yes	characteristic
414	#336	C₂³	1	1	yes	characteristic
415	#336	C₂³	1	1	yes	characteristic
416	#336	C₂³	1	1	yes	characteristic
417	#336	C₂³	1	1	yes	characteristic
418	#336	C₂³	1	1	yes	characteristic
419	#336	C₂³	1	1	yes	characteristic
420	#336	C₂³	1	1	yes	characteristic
421	#336	C₂³	1	1	yes	characteristic
422	#336	C₂³	1	1	yes	characteristic
423	#336	C₂³	1	1	yes	characteristic
424	#336	C₂³	1	1	yes	characteristic
425	#336	C₂³	1	1	yes	characteristic
426	#336	C₂³	1	1	yes	characteristic
427	#336	C₂³	1	1	yes	characteristic
428	#336	C₂³	1	1	yes	characteristic
429	#336	C₂³	1	1	yes	characteristic
430	#336	C₂³	1	1	yes	characteristic
431	#336	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	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
479	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
480	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
481	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
482	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
483	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
484	C₂³×C₄	C₂⁴	1	1	yes	characteristic
485	C₂×M₁₆	—	2	2	no	—
486	C₂×M₁₆	—	2	2	no	—
487	C₂×M₁₆	—	4	1	no	—
488	C₂×M₁₆	—	4	1	no	—
489	C₂×M₁₆	—	4	1	no	—
490	C₂×M₁₆	—	4	1	no	—
491	C₂²×C₈	—	2	2	no	—
492	C₂²×C₈	—	2	2	no	—
493	C₂²×C₈	—	4	1	no	—
494	C₂²×C₈	—	4	1	no	—
495	C₂²×C₈	—	4	1	no	—
496	C₂²×C₈	—	4	1	no	—
497	C₂²×C₈	C₂⁴	1	1	yes	characteristic
498	C₂²×C₈	C₂⁴	1	1	yes	characteristic
499	C₂²×C₈	C₂⁴	1	1	yes	characteristic
500	C₂²×C₈	C₂⁴	1	1	yes	characteristic
501	C₂²×C₈	C₂⁴	1	1	yes	characteristic
502	C₂²×C₈	C₂⁴	1	1	yes	characteristic
503	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	C₄×Q₈	—	4	1	no	—
514	C₄×Q₈	—	4	1	no	—
515	C₄×Q₈	—	4	1	no	—
516	C₄×Q₈	—	4	1	no	—
517	C₄×Q₈	—	4	1	no	—
518	C₄×Q₈	—	4	1	no	—
519	C₄×Q₈	—	4	1	no	—
520	C₄×Q₈	—	4	1	no	—
521	#117	—	4	1	no	—
522	#117	—	4	1	no	—
523	#117	—	4	1	no	—
524	#117	—	4	1	no	—
525	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₂²⋊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×C₄²	—	2	2	no	—
586	C₂×C₄²	—	2	2	no	—
587	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄²	C₂⁴	1	1	yes	characteristic
598	C₂×C₄²	C₂⁴	1	1	yes	characteristic
599	C₂×C₄²	C₂⁴	1	1	yes	characteristic
600	C₂×C₄²	C₂⁴	1	1	yes	characteristic
601	C₂×C₄²	C₂⁴	1	1	yes	characteristic
602	C₂×C₄²	C₂⁴	1	1	yes	characteristic
603	C₂×C₄²	C₂⁴	1	1	yes	characteristic
604	C₂×C₄²	C₂⁴	1	1	yes	characteristic
605	C₂×C₄²	C₂⁴	1	1	yes	characteristic
606	C₂×C₄²	C₂⁴	1	1	yes	characteristic
607	C₂×C₄²	C₂⁴	1	1	yes	characteristic
608	C₂×C₄²	C₂⁴	1	1	yes	characteristic
609	C₂×C₄²	C₂⁴	1	1	yes	characteristic
610	C₂×C₄²	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₈	—	4	1	no	—
612	C₄⋊C₈	—	4	1	no	—
613	C₄⋊C₈	—	4	1	no	—
614	C₄⋊C₈	—	4	1	no	—
615	C₄⋊C₈	—	4	1	no	—
616	C₄⋊C₈	—	4	1	no	—
617	C₄⋊C₈	—	4	1	no	—
618	C₄⋊C₈	—	4	1	no	—
619	C₄⋊C₈	—	4	1	no	—
620	C₄⋊C₈	—	4	1	no	—
621	C₄⋊C₈	—	4	1	no	—
622	C₄⋊C₈	—	4	1	no	—
623	C₄⋊C₈	—	4	1	no	—
624	C₄⋊C₈	—	4	1	no	—
625	C₄⋊C₈	—	4	1	no	—
626	C₄⋊C₈	—	4	1	no	—
627	C₄⋊C₈	—	4	1	no	—
628	C₄⋊C₈	—	4	1	no	—
629	C₄⋊C₈	—	4	1	no	—
630	C₄⋊C₈	—	4	1	no	—
631	C₂²⋊C₈	—	2	2	no	—
632	C₂²⋊C₈	—	2	2	no	—
633	C₂²⋊C₈	—	2	2	no	—
634	C₂²⋊C₈	—	2	2	no	—
635	#97	—	4	1	no	—
636	#97	—	4	1	no	—
637	#97	—	4	1	no	—
638	#97	—	4	1	no	—
639	#97	—	4	1	no	—
640	#97	—	4	1	no	—
641	#97	—	4	1	no	—
642	#97	—	4	1	no	—
643	#97	—	4	1	no	—
644	#97	—	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	#95	C₂²×C₄	1	1	yes	characteristic
656	#95	C₂²×C₄	1	1	yes	characteristic
657	#95	C₂²×C₄	1	1	yes	characteristic
658	#95	C₂²×C₄	1	1	yes	characteristic
659	#95	C₂²×C₄	1	1	yes	characteristic
660	#95	C₂²×C₄	1	1	yes	characteristic
661	#95	C₂²×C₄	1	1	yes	characteristic
662	#95	C₂²×C₄	1	1	yes	characteristic
663	#95	C₂²×C₄	1	1	yes	characteristic
664	#95	C₂²×C₄	1	1	yes	characteristic
665	#95	C₂²×C₄	1	1	yes	characteristic
666	#95	C₂²×C₄	1	1	yes	characteristic
667	#95	C₂²×C₄	1	1	yes	characteristic
668	#95	C₂²×C₄	1	1	yes	characteristic
669	#95	C₂²×C₄	1	1	yes	characteristic
670	#95	C₂²×C₄	1	1	yes	characteristic
671	#95	C₂²×C₄	1	1	yes	characteristic
672	#95	C₂²×C₄	1	1	yes	characteristic
673	#95	C₂²×C₄	1	1	yes	characteristic
674	#95	C₂²×C₄	1	1	yes	characteristic
675	#95	C₂²×C₄	1	1	yes	characteristic
676	#95	C₂²×C₄	1	1	yes	characteristic
677	#95	C₂²×C₄	1	1	yes	characteristic
678	#95	C₂²×C₄	1	1	yes	characteristic
679	#95	C₂²×C₄	1	1	yes	characteristic
680	#95	C₂²×C₄	1	1	yes	characteristic
681	#95	C₂²×C₄	1	1	yes	characteristic
682	#95	C₂²×C₄	1	1	yes	characteristic
683	#95	C₂²×C₄	1	1	yes	characteristic
684	#95	C₂²×C₄	1	1	yes	characteristic
685	#95	C₂²×C₄	1	1	yes	characteristic
686	#95	C₂²×C₄	1	1	yes	characteristic
687	#95	C₂²×C₄	1	1	yes	characteristic
688	#95	C₂²×C₄	1	1	yes	characteristic
689	#95	C₂²×C₄	1	1	yes	characteristic
690	#95	C₂²×C₄	1	1	yes	characteristic
691	#95	C₂²×C₄	1	1	yes	characteristic
692	#95	C₂²×C₄	1	1	yes	characteristic
693	#95	C₂²×C₄	1	1	yes	characteristic
694	#95	C₂²×C₄	1	1	yes	characteristic
695	#95	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	C₂³×C₄	1	1	yes	characteristic
720	C₂×Q₈	—	4	1	no	—
721	C₂×Q₈	—	4	1	no	—
722	C₂×Q₈	—	4	1	no	—
723	C₂×Q₈	—	4	1	no	—
724	C₂×Q₈	—	4	1	no	—
725	C₂×Q₈	—	4	1	no	—
726	C₂×Q₈	—	4	1	no	—
727	C₂×Q₈	—	4	1	no	—
728	C₂×Q₈	—	4	1	no	—
729	C₂×Q₈	—	4	1	no	—
730	C₂×Q₈	—	4	1	no	—
731	C₂×Q₈	—	4	1	no	—
732	C₂²×C₄	—	2	1	no	—
733	C₂²×C₄	—	2	1	no	—
734	C₂²×C₄	—	2	1	no	—
735	C₂²×C₄	—	2	1	no	—
736	C₂²×C₄	—	2	2	no	—
737	C₂²×C₄	—	2	2	no	—
738	C₂²×C₄	—	4	1	no	—
739	C₂²×C₄	—	4	1	no	—
740	C₂²×C₄	—	4	1	no	—
741	C₂²×C₄	—	4	1	no	—
742	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
743	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
744	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
745	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
746	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
747	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
748	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
749	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
750	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
751	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
752	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
753	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
754	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
755	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
756	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
757	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
758	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
759	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
760	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
761	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
762	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
763	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
764	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
765	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
766	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
767	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
768	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
769	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
770	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
771	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
772	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
773	C₂²×C₄	C₂⁵	1	1	yes	characteristic
774	M₁₆	—	8	2	no	—
775	M₁₆	—	8	2	no	—
776	C₂×C₈	—	2	1	no	—
777	C₂×C₈	—	2	1	no	—
778	C₂×C₈	—	2	1	no	—
779	C₂×C₈	—	2	1	no	—
780	C₂×C₈	—	2	1	no	—
781	C₂×C₈	—	2	1	no	—
782	C₂×C₈	—	2	1	no	—
783	C₂×C₈	—	2	1	no	—
784	C₂×C₈	—	2	1	no	—
785	C₂×C₈	—	2	1	no	—
786	C₂×C₈	—	2	1	no	—
787	C₂×C₈	—	2	1	no	—
788	C₂×C₈	—	2	1	no	—
789	C₂×C₈	—	2	1	no	—
790	C₂×C₈	—	2	1	no	—
791	C₂×C₈	—	2	1	no	—
792	C₂×C₈	—	2	1	no	—
793	C₂×C₈	—	2	1	no	—
794	C₂×C₈	—	2	1	no	—
795	C₂×C₈	—	2	1	no	—
796	C₂×C₈	—	2	1	no	—
797	C₂×C₈	—	2	1	no	—
798	C₂×C₈	—	2	1	no	—
799	C₂×C₈	—	2	1	no	—
800	C₂×C₈	—	2	1	no	—
801	C₂×C₈	—	2	1	no	—
802	C₂×C₈	—	2	1	no	—
803	C₂×C₈	—	2	1	no	—
804	C₂×C₈	—	2	1	no	—
805	C₂×C₈	—	2	1	no	—
806	C₂×C₈	—	2	1	no	—
807	C₂×C₈	—	2	1	no	—
808	C₂×C₈	—	2	1	no	—
809	C₂×C₈	—	2	1	no	—
810	C₂×C₈	—	2	1	no	—
811	C₂×C₈	—	2	1	no	—
812	C₂×C₈	—	2	1	no	—
813	C₂×C₈	—	2	1	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	—	8	2	no	—
825	C₂×C₈	—	8	2	no	—
826	C₄⋊C₄	—	4	1	no	—
827	C₄⋊C₄	—	4	1	no	—
828	C₄⋊C₄	—	4	1	no	—
829	C₄⋊C₄	—	4	1	no	—
830	C₄⋊C₄	—	4	1	no	—
831	C₄⋊C₄	—	4	1	no	—
832	C₄⋊C₄	—	4	1	no	—
833	C₄⋊C₄	—	4	1	no	—
834	C₄⋊C₄	—	4	1	no	—
835	C₄⋊C₄	—	4	1	no	—
836	C₄⋊C₄	—	4	1	no	—
837	C₄⋊C₄	—	4	1	no	—
838	C₄⋊C₄	—	4	1	no	—
839	C₄⋊C₄	—	4	1	no	—
840	C₄⋊C₄	—	4	1	no	—
841	C₄⋊C₄	—	4	1	no	—
842	C₄⋊C₄	—	4	1	no	—
843	C₄⋊C₄	—	4	1	no	—
844	C₄⋊C₄	—	4	1	no	—
845	C₄⋊C₄	—	4	1	no	—
846	C₄⋊C₄	—	4	1	no	—
847	C₄⋊C₄	—	4	1	no	—
848	C₄⋊C₄	—	4	1	no	—
849	C₄⋊C₄	—	4	1	no	—
850	C₄⋊C₄	—	4	1	no	—
851	C₄⋊C₄	—	4	1	no	—
852	C₄⋊C₄	—	4	1	no	—
853	C₄⋊C₄	—	4	1	no	—
854	C₄⋊C₄	—	4	1	no	—
855	C₄⋊C₄	—	4	1	no	—
856	C₄⋊C₄	—	4	1	no	—
857	C₄⋊C₄	—	4	1	no	—
858	C₄⋊C₄	—	4	1	no	—
859	C₄⋊C₄	—	4	1	no	—
860	C₄⋊C₄	—	4	1	no	—
861	C₄⋊C₄	—	4	1	no	—
862	C₄⋊C₄	—	4	1	no	—
863	C₄⋊C₄	—	4	1	no	—
864	C₄⋊C₄	—	4	1	no	—
865	C₄⋊C₄	—	4	1	no	—
866	C₄⋊C₄	—	4	1	no	—
867	C₄⋊C₄	—	4	1	no	—
868	C₄⋊C₄	—	4	1	no	—
869	C₄⋊C₄	—	4	1	no	—
870	C₄⋊C₄	—	4	1	no	—
871	C₄⋊C₄	—	4	1	no	—
872	C₄⋊C₄	—	4	1	no	—
873	C₄⋊C₄	—	4	1	no	—
874	C₂²⋊C₄	—	4	1	no	—
875	C₂²⋊C₄	—	4	1	no	—
876	C₂²⋊C₄	—	4	1	no	—
877	C₂²⋊C₄	—	4	1	no	—
878	C₂²⋊C₄	—	4	1	no	—
879	C₂²⋊C₄	—	4	1	no	—
880	C₂²⋊C₄	—	4	1	no	—
881	C₂²⋊C₄	—	4	1	no	—
882	C₂²⋊C₄	—	4	1	no	—
883	C₂²⋊C₄	—	4	1	no	—
884	C₂²⋊C₄	—	4	1	no	—
885	C₂²⋊C₄	—	4	1	no	—
886	C₄²	—	2	2	no	—
887	C₄²	—	2	2	no	—
888	C₄²	—	2	1	no	—
889	C₄²	—	2	1	no	—
890	C₄²	—	2	1	no	—
891	C₄²	—	2	1	no	—
892	C₄²	—	2	1	no	—
893	C₄²	—	2	1	no	—
894	C₄²	—	2	1	no	—
895	C₄²	—	2	1	no	—
896	C₄²	—	2	1	no	—
897	C₄²	—	2	1	no	—
898	C₄²	—	2	1	no	—
899	C₄²	—	2	1	no	—
900	C₄²	—	2	1	no	—
901	C₄²	—	2	1	no	—
902	C₄²	—	2	1	no	—
903	C₄²	—	2	1	no	—
904	C₄²	—	2	1	no	—
905	C₄²	—	2	1	no	—
906	C₄²	—	2	1	no	—
907	C₄²	—	2	1	no	—
908	C₄²	—	2	1	no	—
909	C₄²	—	2	1	no	—
910	C₄²	—	2	1	no	—
911	C₄²	—	2	1	no	—
912	C₄²	—	2	1	no	—
913	C₄²	—	2	1	no	—
914	C₄²	—	2	1	no	—
915	C₄²	—	2	1	no	—
916	C₄²	—	4	1	no	—
917	C₄²	—	4	1	no	—
918	C₄²	—	4	1	no	—
919	C₄²	—	4	1	no	—
920	C₄²	—	4	1	no	—
921	C₄²	—	4	1	no	—
922	C₄²	—	4	1	no	—
923	C₄²	—	4	1	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	#519	1	2	yes	—
931	C₂³	C₂⁴×C₄	1	1	yes	characteristic
932	Q₈	—	8	2	no	—
933	Q₈	—	8	2	no	—
934	Q₈	—	8	2	no	—
935	Q₈	—	8	2	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	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	—	8	2	no	—
1027	C₂×C₄	—	8	2	no	—
1028	C₂×C₄	#519	1	2	yes	—
1029	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1030	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1031	C₂×C₄	#585	1	1	yes	characteristic
1032	C₂×C₄	#585	1	1	yes	characteristic
1033	C₂×C₄	#585	1	1	yes	characteristic
1034	C₂×C₄	#585	1	1	yes	characteristic
1035	C₈	—	4	1	no	—
1036	C₈	—	4	1	no	—
1037	C₈	—	4	1	no	—
1038	C₈	—	4	1	no	—
1039	C₈	—	4	1	no	—
1040	C₈	—	4	1	no	—
1041	C₈	—	4	1	no	—
1042	C₈	—	4	1	no	—
1043	C₈	—	4	1	no	—
1044	C₈	—	4	1	no	—
1045	C₈	—	4	1	no	—
1046	C₈	—	4	1	no	—
1047	C₈	—	4	1	no	—
1048	C₈	—	4	1	no	—
1049	C₈	—	4	1	no	—
1050	C₈	—	4	1	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	4	1	no	—
1056	C₂²	—	4	1	no	—
1057	C₂²	—	4	1	no	—
1058	C₂²	C₂×#519	1	1	yes	characteristic
1059	C₂²	#3428	1	1	yes	characteristic
1060	C₂²	#3428	1	1	yes	characteristic
1061	C₂²	#3573	1	1	yes	characteristic
1062	C₂²	#3573	1	1	yes	characteristic
1063	C₂²	#3573	1	1	yes	characteristic
1064	C₂²	#3573	1	1	yes	characteristic
1065	C₄	—	2	2	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	1	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	1	no	—
1076	C₄	—	4	1	no	—
1077	C₄	—	4	1	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	1	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	1	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	#3564	1	1	yes	characteristic
1095	C₄	#3564	1	1	yes	characteristic
1096	C₄	#3564	1	1	yes	characteristic
1097	C₄	#3564	1	1	yes	characteristic
1098	C₂	—	4	2	no	—
1099	C₂	#34389	1	1	yes	characteristic
1100	C₂	#60252	1	1	yes	characteristic
1101	C₂	#60252	1	1	yes	characteristic
1102	C₂	#60296	1	1	yes	characteristic
1103	C₂	#60296	1	1	yes	characteristic
1104	C₂	#60297	1	1	yes	characteristic
1105	C₂	#60297	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂⁴	C₂³×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. #23368	C₂	semidirect
3. #23368	C₂	semidirect
4. #23367	C₂	semidirect
5. #23367	C₂	semidirect
10. #22834	C₂	semidirect
11. #22834	C₂	semidirect
12. #22833	C₂	semidirect
13. #22833	C₂	semidirect
18. #22382	C₂	semidirect
19. #22380	C₂	semidirect
20. #22380	C₂	semidirect
21. #22374	C₂	semidirect
26. #22027	C₂	semidirect
27. #22027	C₂	semidirect
28. #22026	C₂	semidirect
29. #22026	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34644	2
#23368	2
#23367	2
#23246	2
#23245	2
#23244	2
#23243	2
#22834	2
#22833	2
#22596	2
#22595	2
#22382	2
#22380	2
#22374	2
#22298	2
#22292	2
#22290	2
#22027	2
#22026	2
#20780	2
#20774	2