Subgroups — #6383727

Order 512.

1421 conjugacy classes of subgroups.

The subgroup lattice has 935 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34552	C₂	1	1	yes	maximal, characteristic
2	#23268	C₂	1	2	yes	maximal, complemented
3	#23267	C₂	1	2	yes	maximal, complemented
4	#23155	C₂	1	2	yes	maximal, complemented
5	#23154	C₂	1	2	yes	maximal, complemented
6	#23059	C₂	1	2	yes	maximal
7	#23058	C₂	1	2	yes	maximal
8	#23057	C₂	1	2	yes	maximal
9	#23056	C₂	1	2	yes	maximal
10	#21435	C₂	1	1	yes	maximal, characteristic
11	#21435	C₂	1	1	yes	maximal, characteristic
12	#21435	C₂	1	1	yes	maximal, characteristic
13	#21435	C₂	1	1	yes	maximal, characteristic
14	#21346	C₂	1	1	yes	maximal, characteristic, complemented
15	#21346	C₂	1	1	yes	maximal, characteristic, complemented
16	#21345	C₂	1	1	yes	maximal, characteristic, complemented
17	#21345	C₂	1	1	yes	maximal, characteristic, complemented
18	Q₈×#97	C₂	1	1	yes	maximal, characteristic, complemented
19	#20520	C₂	1	1	yes	maximal, characteristic, complemented
20	#20520	C₂	1	1	yes	maximal, characteristic, complemented
21	#20520	C₂	1	1	yes	maximal, characteristic, complemented
22	#20465	C₂	1	1	yes	maximal, characteristic
23	#20465	C₂	1	1	yes	maximal, characteristic
24	C₂×#446	C₂²	1	2	yes	—
25	C₂×#446	C₂²	1	2	yes	—
26	C₂×#446	C₂²	1	2	yes	—
27	C₂×C₈×Q₈	C₂²	1	2	yes	—
28	C₂×#433	C₂²	1	2	yes	—
29	C₂×#433	C₂²	1	2	yes	—
30	#2402	C₄	1	1	yes	characteristic
31	#2402	C₄	1	1	yes	characteristic
32	#2402	C₄	1	1	yes	characteristic
33	#2402	C₄	1	1	yes	characteristic
34	#2402	C₂²	1	1	yes	characteristic
35	#2402	C₂²	1	1	yes	characteristic
36	#2399	C₄	1	1	yes	characteristic
37	#2399	C₄	1	1	yes	characteristic
38	#2399	C₄	1	1	yes	characteristic
39	#2399	C₄	1	1	yes	characteristic
40	#2399	C₂²	1	1	yes	characteristic
41	#2399	C₂²	1	1	yes	characteristic
42	#2396	C₄	1	1	yes	characteristic
43	#2396	C₄	1	1	yes	characteristic
44	#2396	C₄	1	1	yes	characteristic
45	#2396	C₄	1	1	yes	characteristic
46	#2396	C₄	1	1	yes	characteristic
47	#2396	C₄	1	1	yes	characteristic
48	#2396	C₄	1	1	yes	characteristic
49	#2396	C₄	1	1	yes	characteristic
50	#2396	C₂²	1	1	yes	characteristic
51	#2396	C₂²	1	1	yes	characteristic
52	#2396	C₂²	1	1	yes	characteristic
53	#2396	C₂²	1	1	yes	characteristic
54	C₄²×Q₈	C₂²	1	1	yes	characteristic
55	C₄²×Q₈	C₂²	1	1	yes	characteristic
56	C₄²×Q₈	C₂²	1	1	yes	characteristic
57	C₄²×Q₈	C₂²	1	1	yes	characteristic
58	C₄×#117	C₂²	1	1	yes	characteristic
59	C₄×#117	C₂²	1	1	yes	characteristic
60	C₄×#117	C₂²	1	1	yes	characteristic
61	#1985	C₂²	1	2	yes	—
62	#1985	C₂²	1	2	yes	—
63	#1984	C₂²	1	2	yes	—
64	#1984	C₂²	1	2	yes	—
65	#1940	C₂²	1	2	yes	—
66	#1940	C₂²	1	2	yes	—
67	#1939	C₂²	1	2	yes	—
68	#1939	C₂²	1	2	yes	—
69	#1924	C₂²	1	2	yes	—
70	#1924	C₂²	1	2	yes	—
71	#1924	C₂²	1	2	yes	—
72	#1924	C₂²	1	2	yes	—
73	#1923	C₂²	1	2	yes	—
74	#1923	C₂²	1	2	yes	—
75	#1923	C₂²	1	2	yes	—
76	#1923	C₂²	1	2	yes	—
77	#1917	C₂²	1	2	yes	—
78	#1917	C₂²	1	2	yes	—
79	#1917	C₂²	1	2	yes	—
80	#1917	C₂²	1	2	yes	—
81	#1917	C₂²	1	2	yes	—
82	#1917	C₂²	1	2	yes	—
83	#1917	C₂²	1	2	yes	—
84	#1917	C₂²	1	2	yes	—
85	#1916	C₂²	1	2	yes	—
86	#1916	C₂²	1	2	yes	—
87	#1916	C₂²	1	2	yes	—
88	#1916	C₂²	1	2	yes	—
89	#1916	C₂²	1	2	yes	—
90	#1916	C₂²	1	2	yes	—
91	#1916	C₂²	1	2	yes	—
92	#1916	C₂²	1	2	yes	—
93	#1771	C₂²	1	2	yes	—
94	#1771	C₂²	1	2	yes	—
95	#1771	C₂²	1	2	yes	—
96	#1771	C₂²	1	2	yes	—
97	#1771	C₂²	1	2	yes	—
98	#1771	C₂²	1	2	yes	—
99	#1770	C₂²	1	2	yes	—
100	#1770	C₂²	1	2	yes	—
101	#1770	C₂²	1	2	yes	—
102	C₈×C₄⋊C₄	C₂²	1	2	yes	—
103	C₈×C₄⋊C₄	C₂²	1	2	yes	—
104	C₈×C₄⋊C₄	C₂²	1	2	yes	—
105	#1768	C₂²	1	2	yes	—
106	#1768	C₂²	1	2	yes	—
107	#1767	C₂²	1	1	yes	characteristic
108	#1767	C₂²	1	1	yes	characteristic
109	#1767	C₂²	1	1	yes	characteristic
110	#1767	C₂²	1	1	yes	characteristic
111	#1767	C₂²	1	1	yes	characteristic
112	#1767	C₂²	1	1	yes	characteristic
113	#1767	C₂²	1	1	yes	characteristic
114	#1767	C₂²	1	1	yes	characteristic
115	#1767	C₂²	1	1	yes	characteristic
116	#1767	C₂²	1	1	yes	characteristic
117	#1767	C₂²	1	1	yes	characteristic
118	#1767	C₂²	1	1	yes	characteristic
119	#1750	C₂²	1	2	yes	—
120	#1750	C₂²	1	2	yes	—
121	#1749	C₂²	1	1	yes	characteristic
122	#1749	C₂²	1	1	yes	characteristic
123	#1749	C₂²	1	1	yes	characteristic
124	#1749	C₂²	1	1	yes	characteristic
125	#1746	C₂²	1	2	yes	—
126	#1746	C₂²	1	2	yes	—
127	#1745	C₂²	1	1	yes	characteristic
128	#1745	C₂²	1	1	yes	characteristic
129	#1745	C₂²	1	1	yes	characteristic
130	#1745	C₂²	1	1	yes	characteristic
131	C₄×#97	C₂²	1	1	yes	characteristic
132	C₄×#97	C₂²	1	1	yes	characteristic
133	C₄×#97	C₂²	1	1	yes	characteristic
134	C₄×#97	C₂²	1	1	yes	characteristic
135	C₄×#97	C₂²	1	1	yes	characteristic
136	C₄×#97	C₂²	1	1	yes	characteristic
137	C₄×#97	C₂²	1	1	yes	characteristic
138	C₄×#97	C₂²	1	1	yes	characteristic
139	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
140	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
141	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
142	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
143	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
144	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
145	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
146	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
147	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
148	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
149	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
150	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
151	C₂×#117	C₂×C₄	1	1	yes	characteristic
152	C₂×#117	C₂×C₄	1	1	yes	characteristic
153	C₂×#117	C₂×C₄	1	1	yes	characteristic
154	C₂×#117	C₂×C₄	1	1	yes	characteristic
155	C₂×#117	C₂³	1	1	yes	characteristic
156	C₂×#117	C₂³	1	1	yes	characteristic
157	C₂²×C₄²	C₂³	1	1	yes	characteristic
158	#446	—	2	8	no	—
159	#446	—	2	8	no	—
160	#446	—	2	8	no	—
161	C₈×Q₈	—	2	8	no	—
162	#433	—	2	8	no	—
163	#433	—	2	8	no	—
164	C₂×C₄⋊C₈	C₂³	1	2	yes	—
165	C₂×C₄⋊C₈	C₂³	1	2	yes	—
166	C₂×C₄⋊C₈	C₂³	1	2	yes	—
167	C₂×C₄⋊C₈	C₂³	1	2	yes	—
168	C₂×C₄⋊C₈	C₂³	1	2	yes	—
169	C₂×C₄⋊C₈	C₂³	1	2	yes	—
170	C₂×C₄⋊C₈	C₂³	1	2	yes	—
171	C₂×C₄⋊C₈	C₂³	1	2	yes	—
172	C₂×C₄⋊C₈	C₂³	1	2	yes	—
173	C₂×C₄⋊C₈	C₂³	1	2	yes	—
174	C₂×C₄⋊C₈	C₂³	1	2	yes	—
175	C₂×C₄⋊C₈	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
180	C₂×#97	C₂³	1	2	yes	—
181	C₂×#97	C₂³	1	2	yes	—
182	C₂×#97	C₂³	1	2	yes	—
183	C₂×#97	C₂³	1	2	yes	—
184	C₂×#97	C₂³	1	2	yes	—
185	C₂×#97	C₂³	1	2	yes	—
186	C₂×#97	C₂³	1	2	yes	—
187	C₂×#97	C₂³	1	2	yes	—
188	C₂×#97	C₂³	1	1	yes	characteristic
189	C₂×#97	C₂³	1	1	yes	characteristic
190	C₂×#97	C₂³	1	1	yes	characteristic
191	C₂×#97	C₂³	1	1	yes	characteristic
192	C₂×#97	C₂³	1	1	yes	characteristic
193	C₂×#97	C₂³	1	1	yes	characteristic
194	C₂×#97	C₂³	1	1	yes	characteristic
195	C₂×#97	C₂³	1	1	yes	characteristic
196	C₂×C₄×C₈	C₂³	1	2	yes	—
197	C₂×C₄×C₈	C₂³	1	2	yes	—
198	C₂×C₄×C₈	C₂³	1	2	yes	—
199	C₂×C₄×C₈	C₂³	1	2	yes	—
200	C₂×C₄×C₈	C₂³	1	2	yes	—
201	C₂×C₄×C₈	C₂³	1	2	yes	—
202	C₂×C₄×C₈	C₂³	1	2	yes	—
203	C₂×C₄×C₈	C₂³	1	2	yes	—
204	#400	C₂×C₄	1	1	yes	characteristic
205	#400	C₂×C₄	1	1	yes	characteristic
206	#400	C₂×C₄	1	1	yes	characteristic
207	#400	C₂×C₄	1	1	yes	characteristic
208	#400	C₂×C₄	1	1	yes	characteristic
209	#400	C₂×C₄	1	1	yes	characteristic
210	#400	C₂×C₄	1	1	yes	characteristic
211	#400	C₂×C₄	1	1	yes	characteristic
212	#400	C₂×C₄	1	1	yes	characteristic
213	#400	C₂×C₄	1	1	yes	characteristic
214	#400	C₂×C₄	1	1	yes	characteristic
215	#400	C₂×C₄	1	1	yes	characteristic
216	#399	C₂×C₄	1	1	yes	characteristic
217	#399	C₂×C₄	1	1	yes	characteristic
218	#399	C₂×C₄	1	1	yes	characteristic
219	#399	C₂×C₄	1	1	yes	characteristic
220	#398	C₂×C₄	1	1	yes	characteristic
221	#398	C₂×C₄	1	1	yes	characteristic
222	#398	C₂×C₄	1	1	yes	characteristic
223	#398	C₂×C₄	1	1	yes	characteristic
224	#398	C₂×C₄	1	1	yes	characteristic
225	#398	C₂×C₄	1	1	yes	characteristic
226	#398	C₂×C₄	1	1	yes	characteristic
227	#398	C₂×C₄	1	1	yes	characteristic
228	#398	C₂×C₄	1	1	yes	characteristic
229	#398	C₂×C₄	1	1	yes	characteristic
230	#398	C₂×C₄	1	1	yes	characteristic
231	#398	C₂×C₄	1	1	yes	characteristic
232	#398	C₂×C₄	1	1	yes	characteristic
233	#398	C₂×C₄	1	1	yes	characteristic
234	#398	C₂×C₄	1	1	yes	characteristic
235	#398	C₂×C₄	1	1	yes	characteristic
236	#398	C₂×C₄	1	1	yes	characteristic
237	#398	C₂×C₄	1	1	yes	characteristic
238	#398	C₂×C₄	1	1	yes	characteristic
239	#398	C₂×C₄	1	1	yes	characteristic
240	#398	C₂×C₄	1	1	yes	characteristic
241	#398	C₂×C₄	1	1	yes	characteristic
242	#398	C₂×C₄	1	1	yes	characteristic
243	#398	C₂×C₄	1	1	yes	characteristic
244	#396	C₂×C₄	1	1	yes	characteristic
245	#396	C₂×C₄	1	1	yes	characteristic
246	#396	C₂×C₄	1	1	yes	characteristic
247	#396	C₂×C₄	1	1	yes	characteristic
248	#396	C₂×C₄	1	1	yes	characteristic
249	#396	C₂×C₄	1	1	yes	characteristic
250	#396	C₂×C₄	1	1	yes	characteristic
251	#396	C₂×C₄	1	1	yes	characteristic
252	#395	C₂×C₄	1	1	yes	characteristic
253	#395	C₂×C₄	1	1	yes	characteristic
254	#395	C₂×C₄	1	1	yes	characteristic
255	#395	C₂×C₄	1	1	yes	characteristic
256	#395	C₂×C₄	1	1	yes	characteristic
257	#395	C₂×C₄	1	1	yes	characteristic
258	#395	C₂×C₄	1	1	yes	characteristic
259	#395	C₂×C₄	1	1	yes	characteristic
260	#395	C₂×C₄	1	1	yes	characteristic
261	#395	C₂×C₄	1	1	yes	characteristic
262	#395	C₂×C₄	1	1	yes	characteristic
263	#395	C₂×C₄	1	1	yes	characteristic
264	#393	C₂×C₄	1	1	yes	characteristic
265	#393	C₂×C₄	1	1	yes	characteristic
266	#393	C₂×C₄	1	1	yes	characteristic
267	#393	C₂×C₄	1	1	yes	characteristic
268	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
269	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
270	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
271	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
272	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
273	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
274	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
275	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
276	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
277	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
278	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
279	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
280	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
281	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
282	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
283	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
284	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
285	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
286	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
287	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
288	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
289	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
290	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
291	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
292	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
293	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
294	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
297	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
298	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
317	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
318	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
319	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
320	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
321	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
322	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
323	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
324	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	#376	C₂×C₄	1	1	yes	characteristic
329	#376	C₂×C₄	1	1	yes	characteristic
330	#376	C₂×C₄	1	1	yes	characteristic
331	#376	C₂×C₄	1	1	yes	characteristic
332	#376	C₂³	1	1	yes	characteristic
333	#376	C₂³	1	1	yes	characteristic
334	C₄³	C₂³	1	1	yes	characteristic
335	C₄³	C₂³	1	1	yes	characteristic
336	C₄³	C₂³	1	1	yes	characteristic
337	C₄³	C₂³	1	1	yes	characteristic
338	C₄³	C₂³	1	1	yes	characteristic
339	C₄³	C₂³	1	1	yes	characteristic
340	#336	C₂³	1	2	yes	—
341	#336	C₂³	1	2	yes	—
342	#336	C₂³	1	2	yes	—
343	#336	C₂³	1	2	yes	—
344	#336	C₂³	1	2	yes	—
345	#336	C₂³	1	2	yes	—
346	#336	C₂³	1	2	yes	—
347	#336	C₂³	1	2	yes	—
348	#336	C₂³	1	2	yes	—
349	#336	C₂³	1	2	yes	—
350	#336	C₂³	1	2	yes	—
351	#336	C₂³	1	2	yes	—
352	#336	C₂³	1	2	yes	—
353	#336	C₂³	1	2	yes	—
354	#336	C₂³	1	2	yes	—
355	#336	C₂³	1	2	yes	—
356	#336	C₂³	1	2	yes	—
357	#336	C₂³	1	2	yes	—
358	#336	C₂³	1	2	yes	—
359	#336	C₂³	1	2	yes	—
360	#336	C₂³	1	2	yes	—
361	#336	C₂³	1	2	yes	—
362	#336	C₂³	1	2	yes	—
363	#336	C₂³	1	2	yes	—
364	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
365	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
366	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
367	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
368	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
369	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
370	C₂³×C₄	C₂⁴	1	1	yes	characteristic
371	C₂²×C₈	C₂⁴	1	2	yes	—
372	C₂²×C₈	C₂⁴	1	2	yes	—
373	C₂²×C₈	C₂⁴	1	2	yes	—
374	C₂²×C₈	C₂⁴	1	2	yes	—
375	C₂²×C₈	C₂⁴	1	2	yes	—
376	C₂²×C₈	C₂⁴	1	2	yes	—
377	C₂²×C₈	C₂⁴	1	2	yes	—
378	C₂²×C₈	C₂⁴	1	2	yes	—
379	C₄×Q₈	—	2	4	no	—
380	C₄×Q₈	—	2	4	no	—
381	C₄×Q₈	—	2	4	no	—
382	C₄×Q₈	—	2	4	no	—
383	C₄×Q₈	—	4	2	no	—
384	C₄×Q₈	—	4	2	no	—
385	C₄×Q₈	—	4	2	no	—
386	C₄×Q₈	—	4	2	no	—
387	C₄×Q₈	—	4	2	no	—
388	C₄×Q₈	—	4	2	no	—
389	C₄×Q₈	—	4	2	no	—
390	C₄×Q₈	—	4	2	no	—
391	#117	—	2	4	no	—
392	#117	—	2	4	no	—
393	#117	—	4	2	no	—
394	#117	—	4	2	no	—
395	#117	—	4	2	no	—
396	#117	—	4	2	no	—
397	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
398	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
417	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
418	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
421	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
422	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
425	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
426	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
428	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
443	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
444	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
445	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
446	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
447	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
448	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
449	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
450	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
451	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
452	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
453	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
454	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
455	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
456	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
457	C₂×C₄²	—	2	2	no	—
458	C₂×C₄²	—	2	2	no	—
459	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
462	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
464	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
466	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
469	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
472	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
473	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
474	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
475	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
476	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
477	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
478	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
479	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
480	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
481	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
482	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
483	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₄²	C₂⁴	1	1	yes	characteristic
486	C₂×C₄²	C₂⁴	1	1	yes	characteristic
487	C₂×C₄²	C₂⁴	1	1	yes	characteristic
488	C₂×C₄²	C₂⁴	1	1	yes	characteristic
489	C₂×C₄²	C₂⁴	1	1	yes	characteristic
490	C₂×C₄²	C₂⁴	1	1	yes	characteristic
491	C₂×C₄²	C₂⁴	1	1	yes	characteristic
492	C₂×C₄²	C₂⁴	1	1	yes	characteristic
493	C₂×C₄²	C₂⁴	1	1	yes	characteristic
494	C₂×C₄²	C₂⁴	1	1	yes	characteristic
495	C₂×C₄²	C₂⁴	1	1	yes	characteristic
496	C₂×C₄²	C₂⁴	1	1	yes	characteristic
497	C₂×C₄²	C₂⁴	1	1	yes	characteristic
498	C₂×C₄²	C₂⁴	1	1	yes	characteristic
499	C₄⋊C₈	—	2	4	no	—
500	C₄⋊C₈	—	2	4	no	—
501	C₄⋊C₈	—	2	4	no	—
502	C₄⋊C₈	—	2	4	no	—
503	C₄⋊C₈	—	2	4	no	—
504	C₄⋊C₈	—	2	4	no	—
505	C₄⋊C₈	—	2	4	no	—
506	C₄⋊C₈	—	2	4	no	—
507	C₄⋊C₈	—	2	4	no	—
508	C₄⋊C₈	—	2	4	no	—
509	C₄⋊C₈	#41	1	8	yes	—
510	C₄⋊C₈	#41	1	8	yes	—
511	C₂²⋊C₈	—	2	4	no	—
512	C₂²⋊C₈	—	2	4	no	—
513	C₂²⋊C₈	—	2	4	no	—
514	C₂²⋊C₈	—	2	4	no	—
515	#97	—	2	4	no	—
516	#97	—	2	4	no	—
517	#97	—	2	4	no	—
518	#97	—	2	4	no	—
519	#97	—	2	4	no	—
520	#97	—	2	4	no	—
521	#97	—	2	4	no	—
522	#97	—	2	4	no	—
523	#97	—	2	2	no	—
524	#97	—	2	2	no	—
525	#97	—	2	2	no	—
526	#97	—	2	2	no	—
527	#97	—	2	2	no	—
528	#97	—	2	2	no	—
529	#97	—	2	2	no	—
530	#97	—	2	2	no	—
531	C₄×C₈	—	2	4	no	—
532	C₄×C₈	—	2	4	no	—
533	C₄×C₈	—	2	4	no	—
534	C₄×C₈	—	2	4	no	—
535	C₄×C₈	—	2	4	no	—
536	C₄×C₈	—	2	4	no	—
537	C₄×C₈	—	2	4	no	—
538	C₄×C₈	—	2	4	no	—
539	#95	C₂²×C₄	1	1	yes	characteristic
540	#95	C₂²×C₄	1	1	yes	characteristic
541	#95	C₂²×C₄	1	1	yes	characteristic
542	#95	C₂²×C₄	1	1	yes	characteristic
543	#95	C₂²×C₄	1	1	yes	characteristic
544	#95	C₂²×C₄	1	1	yes	characteristic
545	#95	C₂²×C₄	1	1	yes	characteristic
546	#95	C₂²×C₄	1	1	yes	characteristic
547	#95	C₂²×C₄	1	1	yes	characteristic
548	#95	C₂²×C₄	1	1	yes	characteristic
549	#95	C₂²×C₄	1	1	yes	characteristic
550	#95	C₂²×C₄	1	1	yes	characteristic
551	#95	C₂²×C₄	1	1	yes	characteristic
552	#95	C₂²×C₄	1	1	yes	characteristic
553	#95	C₂²×C₄	1	1	yes	characteristic
554	#95	C₂²×C₄	1	1	yes	characteristic
555	#95	C₂²×C₄	1	1	yes	characteristic
556	#95	C₂²×C₄	1	1	yes	characteristic
557	#95	C₂²×C₄	1	1	yes	characteristic
558	#95	C₂²×C₄	1	1	yes	characteristic
559	#95	C₂²×C₄	1	1	yes	characteristic
560	#95	C₂²×C₄	1	1	yes	characteristic
561	#95	C₂²×C₄	1	1	yes	characteristic
562	#95	C₂²×C₄	1	1	yes	characteristic
563	#95	C₂²×C₄	1	1	yes	characteristic
564	#95	C₂²×C₄	1	1	yes	characteristic
565	#95	C₂²×C₄	1	1	yes	characteristic
566	#95	C₂²×C₄	1	1	yes	characteristic
567	#95	C₂²×C₄	1	1	yes	characteristic
568	#95	C₂²×C₄	1	1	yes	characteristic
569	#95	C₂²×C₄	1	1	yes	characteristic
570	#95	C₂²×C₄	1	1	yes	characteristic
571	#95	C₂²×C₄	1	1	yes	characteristic
572	#95	C₂²×C₄	1	1	yes	characteristic
573	#95	C₂²×C₄	1	1	yes	characteristic
574	#95	C₂²×C₄	1	1	yes	characteristic
575	#95	C₂²×C₄	1	1	yes	characteristic
576	#95	C₂²×C₄	1	1	yes	characteristic
577	#95	C₂²×C₄	1	1	yes	characteristic
578	#95	C₂²×C₄	1	1	yes	characteristic
579	#95	C₂²×C₄	1	1	yes	characteristic
580	#95	C₂²×C₄	1	1	yes	characteristic
581	#95	C₂²×C₄	1	1	yes	characteristic
582	#95	C₂²×C₄	1	1	yes	characteristic
583	#95	C₂²×C₄	1	1	yes	characteristic
584	#95	C₂²×C₄	1	1	yes	characteristic
585	#95	C₂²×C₄	1	1	yes	characteristic
586	#95	C₂²×C₄	1	1	yes	characteristic
587	C₂⁴	C₂³×C₄	1	1	yes	characteristic
588	C₂×Q₈	—	2	2	no	—
589	C₂×Q₈	—	2	2	no	—
590	C₂×Q₈	—	2	2	no	—
591	C₂×Q₈	—	2	2	no	—
592	C₂×Q₈	—	2	2	no	—
593	C₂×Q₈	—	2	2	no	—
594	C₂×Q₈	—	2	2	no	—
595	C₂×Q₈	—	2	2	no	—
596	C₂×Q₈	—	4	1	no	—
597	C₂×Q₈	—	4	1	no	—
598	C₂×Q₈	—	4	1	no	—
599	C₂×Q₈	—	4	1	no	—
600	C₂²×C₄	—	2	2	no	—
601	C₂²×C₄	—	2	2	no	—
602	C₂²×C₄	—	2	2	no	—
603	C₂²×C₄	—	2	2	no	—
604	C₂²×C₄	—	2	1	no	—
605	C₂²×C₄	—	2	1	no	—
606	C₂²×C₄	—	4	1	no	—
607	C₂²×C₄	—	4	1	no	—
608	C₂²×C₄	—	4	1	no	—
609	C₂²×C₄	—	4	1	no	—
610	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
611	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
612	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
613	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
614	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
615	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
616	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
617	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
618	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
619	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
620	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
621	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
622	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
623	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
624	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
625	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
626	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
627	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
628	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
629	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
630	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
631	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
632	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
633	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
634	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
635	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
636	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
637	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
638	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
639	C₂²×C₄	C₂⁵	1	1	yes	characteristic
640	C₂×C₈	—	2	2	no	—
641	C₂×C₈	—	2	2	no	—
642	C₂×C₈	—	2	2	no	—
643	C₂×C₈	—	2	2	no	—
644	C₂×C₈	—	2	2	no	—
645	C₂×C₈	—	2	2	no	—
646	C₂×C₈	—	2	2	no	—
647	C₂×C₈	—	2	2	no	—
648	C₂×C₈	—	2	2	no	—
649	C₂×C₈	—	2	2	no	—
650	C₂×C₈	—	2	2	no	—
651	C₂×C₈	—	2	2	no	—
652	C₂×C₈	—	2	2	no	—
653	C₂×C₈	—	2	2	no	—
654	C₂×C₈	—	2	2	no	—
655	C₂×C₈	—	2	2	no	—
656	C₂×C₈	—	2	2	no	—
657	C₂×C₈	—	2	2	no	—
658	C₂×C₈	—	2	2	no	—
659	C₂×C₈	—	2	2	no	—
660	C₂×C₈	C₂×#41	1	4	yes	—
661	C₂×C₈	C₂×#41	1	4	yes	—
662	C₂×C₈	C₂×#41	1	4	yes	—
663	C₂×C₈	C₂×#41	1	4	yes	—
664	C₄⋊C₄	—	2	2	no	—
665	C₄⋊C₄	—	2	2	no	—
666	C₄⋊C₄	—	2	2	no	—
667	C₄⋊C₄	—	2	2	no	—
668	C₄⋊C₄	—	2	2	no	—
669	C₄⋊C₄	—	2	2	no	—
670	C₄⋊C₄	—	2	2	no	—
671	C₄⋊C₄	—	2	2	no	—
672	C₄⋊C₄	—	2	2	no	—
673	C₄⋊C₄	—	2	2	no	—
674	C₄⋊C₄	—	2	2	no	—
675	C₄⋊C₄	—	2	2	no	—
676	C₄⋊C₄	—	2	2	no	—
677	C₄⋊C₄	—	2	2	no	—
678	C₄⋊C₄	—	2	2	no	—
679	C₄⋊C₄	—	2	2	no	—
680	C₄⋊C₄	—	2	2	no	—
681	C₄⋊C₄	—	2	2	no	—
682	C₄⋊C₄	—	2	2	no	—
683	C₄⋊C₄	—	2	2	no	—
684	C₄⋊C₄	—	2	2	no	—
685	C₄⋊C₄	—	2	2	no	—
686	C₄⋊C₄	—	2	2	no	—
687	C₄⋊C₄	—	2	2	no	—
688	C₄⋊C₄	—	2	2	no	—
689	C₄⋊C₄	—	2	2	no	—
690	C₄⋊C₄	—	2	2	no	—
691	C₄⋊C₄	—	2	2	no	—
692	C₄⋊C₄	—	2	2	no	—
693	C₄⋊C₄	—	2	2	no	—
694	C₄⋊C₄	—	2	2	no	—
695	C₄⋊C₄	—	2	2	no	—
696	C₄⋊C₄	—	4	1	no	—
697	C₄⋊C₄	—	4	1	no	—
698	C₄⋊C₄	—	4	1	no	—
699	C₄⋊C₄	—	4	1	no	—
700	C₄⋊C₄	—	4	1	no	—
701	C₄⋊C₄	—	4	1	no	—
702	C₄⋊C₄	—	4	1	no	—
703	C₄⋊C₄	—	4	1	no	—
704	C₄⋊C₄	—	4	1	no	—
705	C₄⋊C₄	—	4	1	no	—
706	C₄⋊C₄	—	4	1	no	—
707	C₄⋊C₄	—	4	1	no	—
708	C₄⋊C₄	—	4	1	no	—
709	C₄⋊C₄	—	4	1	no	—
710	C₄⋊C₄	—	4	1	no	—
711	C₄⋊C₄	—	4	1	no	—
712	C₂²⋊C₄	—	2	2	no	—
713	C₂²⋊C₄	—	2	2	no	—
714	C₂²⋊C₄	—	2	2	no	—
715	C₂²⋊C₄	—	2	2	no	—
716	C₂²⋊C₄	—	2	2	no	—
717	C₂²⋊C₄	—	2	2	no	—
718	C₂²⋊C₄	—	2	2	no	—
719	C₂²⋊C₄	—	2	2	no	—
720	C₂²⋊C₄	—	4	1	no	—
721	C₂²⋊C₄	—	4	1	no	—
722	C₂²⋊C₄	—	4	1	no	—
723	C₂²⋊C₄	—	4	1	no	—
724	C₄²	—	2	2	no	—
725	C₄²	—	2	2	no	—
726	C₄²	—	2	2	no	—
727	C₄²	—	2	2	no	—
728	C₄²	—	2	2	no	—
729	C₄²	—	2	2	no	—
730	C₄²	—	2	2	no	—
731	C₄²	—	2	2	no	—
732	C₄²	—	2	2	no	—
733	C₄²	—	2	2	no	—
734	C₄²	—	2	2	no	—
735	C₄²	—	2	2	no	—
736	C₄²	—	2	2	no	—
737	C₄²	—	2	2	no	—
738	C₄²	—	2	2	no	—
739	C₄²	—	2	2	no	—
740	C₄²	—	2	1	no	—
741	C₄²	—	2	1	no	—
742	C₄²	—	4	1	no	—
743	C₄²	—	4	1	no	—
744	C₄²	—	4	1	no	—
745	C₄²	—	4	1	no	—
746	C₄²	—	4	1	no	—
747	C₄²	—	4	1	no	—
748	C₄²	—	4	1	no	—
749	C₄²	—	4	1	no	—
750	C₄²	—	4	1	no	—
751	C₄²	—	4	1	no	—
752	C₄²	—	4	1	no	—
753	C₄²	—	4	1	no	—
754	C₄²	—	4	1	no	—
755	C₄²	—	4	1	no	—
756	C₄²	—	4	1	no	—
757	C₄²	—	4	1	no	—
758	C₄²	—	4	1	no	—
759	C₄²	—	4	1	no	—
760	C₄²	—	4	1	no	—
761	C₄²	—	4	1	no	—
762	C₄²	C₂×#41	1	4	yes	—
763	C₄²	C₂×#41	1	4	yes	—
764	C₄²	2₋¹⁺⁴	1	2	yes	—
765	C₄²	2₋¹⁺⁴	1	2	yes	—
766	C₂³	—	2	1	no	—
767	C₂³	—	2	1	no	—
768	C₂³	—	2	1	no	—
769	C₂³	—	2	1	no	—
770	C₂³	—	2	1	no	—
771	C₂³	—	2	1	no	—
772	C₂³	—	2	1	no	—
773	C₂³	C₂⁴×C₄	1	1	yes	characteristic
774	Q₈	—	2	8	no	—
775	Q₈	—	4	4	no	—
776	Q₈	—	4	4	no	—
777	Q₈	—	4	4	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	1	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	2	1	no	—
784	C₂×C₄	—	2	1	no	—
785	C₂×C₄	—	2	1	no	—
786	C₂×C₄	—	2	1	no	—
787	C₂×C₄	—	2	1	no	—
788	C₂×C₄	—	2	1	no	—
789	C₂×C₄	—	2	1	no	—
790	C₂×C₄	—	2	1	no	—
791	C₂×C₄	—	2	1	no	—
792	C₂×C₄	—	2	1	no	—
793	C₂×C₄	—	2	1	no	—
794	C₂×C₄	—	2	1	no	—
795	C₂×C₄	—	2	1	no	—
796	C₂×C₄	—	2	1	no	—
797	C₂×C₄	—	2	1	no	—
798	C₂×C₄	—	2	1	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	—	2	1	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	1	no	—
803	C₂×C₄	—	2	1	no	—
804	C₂×C₄	—	2	1	no	—
805	C₂×C₄	—	2	1	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	1	no	—
808	C₂×C₄	—	2	1	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	1	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	1	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	4	4	no	—
856	C₂×C₄	—	4	4	no	—
857	C₂×C₄	—	4	2	no	—
858	C₂×C₄	—	4	2	no	—
859	C₂×C₄	C₄×#41	1	2	yes	—
860	C₂×C₄	C₄×#41	1	2	yes	—
861	C₂×C₄	C₄×#41	1	2	yes	—
862	C₂×C₄	C₄×#41	1	2	yes	—
863	C₂×C₄	#519	1	2	yes	—
864	C₂×C₄	#519	1	2	yes	—
865	C₂×C₄	#568	1	2	yes	—
866	C₂×C₄	#568	1	2	yes	—
867	C₂×C₄	#568	1	2	yes	—
868	C₂×C₄	#568	1	2	yes	—
869	C₂×C₄	C₂²×#41	1	2	yes	—
870	C₂×C₄	C₂²×#41	1	2	yes	—
871	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
872	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
873	C₈	—	2	4	no	—
874	C₈	—	2	4	no	—
875	C₈	—	2	4	no	—
876	C₈	—	2	4	no	—
877	C₈	—	4	2	no	—
878	C₈	—	4	2	no	—
879	C₈	—	4	2	no	—
880	C₈	—	4	2	no	—
881	C₂²	—	4	1	no	—
882	C₂²	—	4	1	no	—
883	C₂²	—	4	1	no	—
884	C₂²	—	4	1	no	—
885	C₂²	—	4	1	no	—
886	C₂²	—	4	1	no	—
887	C₂²	—	4	1	no	—
888	C₂²	C₂×C₄×#41	1	1	yes	characteristic
889	C₂²	C₂×C₄×#41	1	1	yes	characteristic
890	C₂²	C₂×#519	1	1	yes	characteristic
891	C₂²	C₂×#568	1	1	yes	characteristic
892	C₂²	C₂×#568	1	1	yes	characteristic
893	C₂²	C₂×#568	1	1	yes	characteristic
894	C₂²	C₂×#568	1	1	yes	characteristic
895	C₄	—	2	2	no	—
896	C₄	—	2	2	no	—
897	C₄	—	2	2	no	—
898	C₄	—	2	2	no	—
899	C₄	—	2	2	no	—
900	C₄	—	2	2	no	—
901	C₄	—	2	2	no	—
902	C₄	—	2	2	no	—
903	C₄	—	2	2	no	—
904	C₄	—	2	2	no	—
905	C₄	—	4	1	no	—
906	C₄	—	4	1	no	—
907	C₄	—	4	1	no	—
908	C₄	—	4	1	no	—
909	C₄	—	4	1	no	—
910	C₄	—	4	1	no	—
911	C₄	—	4	1	no	—
912	C₄	—	4	1	no	—
913	C₄	—	4	1	no	—
914	C₄	—	4	1	no	—
915	C₄	—	4	1	no	—
916	C₄	—	4	1	no	—
917	C₄	—	4	1	no	—
918	C₄	—	4	1	no	—
919	C₄	—	4	1	no	—
920	C₄	—	4	1	no	—
921	C₄	—	4	1	no	—
922	C₄	—	4	1	no	—
923	C₄	—	4	1	no	—
924	C₄	#3482	1	2	yes	—
925	C₄	#3482	1	2	yes	—
926	C₂	—	8	1	no	—
927	C₂	#34154	1	1	yes	characteristic
928	C₂	#60207	1	1	yes	characteristic
929	C₂	#60208	1	1	yes	characteristic
930	C₂	#60211	1	1	yes	characteristic
931	C₂	#60211	1	1	yes	characteristic
932	C₂	#60249	1	1	yes	characteristic
933	C₂	#60249	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. #23268	C₂	semidirect
3. #23267	C₂	semidirect
4. #23155	C₂	semidirect
5. #23154	C₂	semidirect
14. #21346	C₂	semidirect
15. #21346	C₂	semidirect
16. #21345	C₂	semidirect
17. #21345	C₂	semidirect
18. Q₈×#97	C₂	semidirect
19. #20520	C₂	semidirect
20. #20520	C₂	semidirect
21. #20520	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34552	2
#23268	2
#23267	2
#23155	2
#23154	2
#23059	2
#23058	2
#23057	2
#23056	2
#21435	2
#21346	2
#21345	2
Q₈×#97	2
#20520	2
#20465	2