Subgroups — #6380011

Order 512.

1651 conjugacy classes of subgroups.

The subgroup lattice has 1037 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2298	C₂	1	1	yes	maximal, characteristic
2	#22645	C₂	1	2	yes	maximal, complemented
3	#22638	C₂	1	2	yes	maximal, complemented
4	#22629	C₂	1	1	yes	maximal, characteristic, complemented
5	#22627	C₂	1	1	yes	maximal, characteristic, complemented
6	#22603	C₂	1	1	yes	maximal, characteristic, complemented
7	#22601	C₂	1	1	yes	maximal, characteristic, complemented
8	#22598	C₂	1	2	yes	maximal, complemented
9	#22594	C₂	1	2	yes	maximal, complemented
10	#22555	C₂	1	1	yes	maximal, characteristic
11	#22554	C₂	1	1	yes	maximal, characteristic
12	#22554	C₂	1	1	yes	maximal, characteristic
13	#22553	C₂	1	1	yes	maximal, characteristic
14	#21436	C₂	1	2	yes	maximal, complemented
15	#21433	C₂	1	2	yes	maximal, complemented
16	#21357	C₂	1	2	yes	maximal, complemented
17	#20779	C₂	1	1	yes	maximal, characteristic, complemented
18	#20778	C₂	1	1	yes	maximal, characteristic, complemented
19	#20716	C₂	1	1	yes	maximal, characteristic
20	#20475	C₂	1	2	yes	maximal, complemented
21	#20469	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#432	C₂	1	1	yes	maximal, characteristic, complemented
23	#20379	C₂	1	1	yes	maximal, characteristic
24	C₂²×#117	C₂²	1	1	yes	characteristic
25	C₂×#433	C₂²	1	2	yes	—
26	C₂×#432	C₂²	1	1	yes	characteristic
27	C₂×#432	C₂²	1	1	yes	characteristic
28	C₂×#432	C₂²	1	1	yes	characteristic
29	C₂×#431	C₂²	1	1	yes	characteristic
30	C₂×#407	C₂²	1	1	yes	characteristic
31	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
32	C₂×#405	C₂²	1	2	yes	—
33	#2298	C₄	1	1	yes	characteristic
34	#2298	C₄	1	1	yes	characteristic
35	#2298	C₄	1	1	yes	characteristic
36	#2298	C₄	1	1	yes	characteristic
37	#2298	C₄	1	1	yes	characteristic
38	#2298	C₄	1	1	yes	characteristic
39	#2298	C₄	1	1	yes	characteristic
40	#2298	C₄	1	1	yes	characteristic
41	#2298	C₂²	1	1	yes	characteristic
42	#2298	C₂²	1	1	yes	characteristic
43	#2298	C₂²	1	1	yes	characteristic
44	#2298	C₂²	1	1	yes	characteristic
45	#2298	C₂²	1	1	yes	characteristic
46	#2298	C₂²	1	1	yes	characteristic
47	#2298	C₂²	1	1	yes	characteristic
48	#2298	C₂²	1	1	yes	characteristic
49	C₂×#388	C₄	1	1	yes	characteristic
50	C₂×#388	C₄	1	1	yes	characteristic
51	C₂×#388	C₄	1	1	yes	characteristic
52	C₂×#388	C₄	1	1	yes	characteristic
53	C₂×#387	C₄	1	1	yes	characteristic
54	C₂×#387	C₄	1	1	yes	characteristic
55	C₂×#387	C₄	1	1	yes	characteristic
56	C₂×#387	C₄	1	1	yes	characteristic
57	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×#376	C₂²	1	1	yes	characteristic
62	C₂×C₄³	C₂²	1	1	yes	characteristic
63	#1940	C₂²	1	2	yes	complemented
64	#1940	C₂²	1	2	yes	complemented
65	#1939	C₂²	1	2	yes	complemented
66	#1939	C₂²	1	2	yes	complemented
67	#1924	C₂²	1	2	yes	—
68	#1924	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	#1917	C₂²	1	2	yes	complemented
76	#1917	C₂²	1	2	yes	complemented
77	#1917	C₂²	1	2	yes	complemented
78	#1917	C₂²	1	2	yes	complemented
79	#1917	C₂²	1	2	yes	complemented
80	#1917	C₂²	1	2	yes	complemented
81	#1916	C₂²	1	2	yes	complemented
82	#1916	C₂²	1	2	yes	complemented
83	#1851	C₂²	1	2	yes	—
84	#1851	C₂²	1	2	yes	—
85	#1850	C₂²	1	2	yes	—
86	#1850	C₂²	1	2	yes	—
87	#1840	C₂²	1	2	yes	complemented
88	#1839	C₂²	1	2	yes	complemented
89	#1832	C₂²	1	2	yes	complemented
90	#1831	C₂²	1	2	yes	complemented
91	#1818	C₂²	1	2	yes	—
92	#1817	C₂²	1	1	yes	characteristic
93	#1817	C₂²	1	1	yes	characteristic
94	#1817	C₂²	1	1	yes	characteristic
95	#1817	C₂²	1	1	yes	characteristic
96	#1798	C₂²	1	2	yes	—
97	#1797	C₂²	1	1	yes	characteristic
98	#1797	C₂²	1	1	yes	characteristic
99	#1797	C₂²	1	1	yes	characteristic
100	#1797	C₂²	1	1	yes	characteristic
101	#1797	C₂²	1	1	yes	characteristic
102	#1797	C₂²	1	1	yes	characteristic
103	#1779	C₂²	1	1	yes	characteristic
104	#1779	C₂²	1	1	yes	characteristic
105	#1771	C₂²	1	2	yes	complemented
106	#1771	C₂²	1	2	yes	complemented
107	#1770	C₂²	1	2	yes	complemented
108	#1770	C₂²	1	2	yes	complemented
109	#1768	C₂²	1	2	yes	complemented
110	#1768	C₂²	1	2	yes	complemented
111	#1768	C₂²	1	2	yes	complemented
112	#1767	C₂²	1	2	yes	complemented
113	#1767	C₂²	1	2	yes	complemented
114	C₄×C₄⋊C₈	C₂²	1	2	yes	complemented
115	#1753	C₂²	1	2	yes	—
116	#1753	C₂²	1	2	yes	—
117	#1752	C₂²	1	2	yes	—
118	#1752	C₂²	1	2	yes	—
119	#1750	C₂²	1	2	yes	—
120	#1750	C₂²	1	2	yes	—
121	#1750	C₂²	1	2	yes	—
122	#1749	C₂²	1	1	yes	characteristic
123	#1749	C₂²	1	1	yes	characteristic
124	#1749	C₂²	1	1	yes	characteristic
125	#1749	C₂²	1	1	yes	characteristic
126	#1749	C₂²	1	1	yes	characteristic
127	#1749	C₂²	1	1	yes	characteristic
128	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
129	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
130	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
131	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
132	#1746	C₂²	1	2	yes	complemented
133	#1746	C₂²	1	2	yes	complemented
134	#1745	C₂²	1	2	yes	complemented
135	#1745	C₂²	1	2	yes	complemented
136	#1729	C₂²	1	2	yes	—
137	#1726	C₂²	1	2	yes	complemented
138	C₄×#97	C₂²	1	2	yes	complemented
139	C₂⁴×C₄	C₂³	1	1	yes	characteristic
140	C₂²×M₁₆	C₂³	1	2	yes	—
141	C₂³×C₈	C₂³	1	2	yes	—
142	C₂×#117	—	2	8	no	—
143	C₂×#117	C₂×C₄	1	1	yes	characteristic
144	C₂×#117	C₂×C₄	1	1	yes	characteristic
145	C₂×#117	C₂×C₄	1	1	yes	characteristic
146	C₂×#117	C₂×C₄	1	1	yes	characteristic
147	C₂×#117	C₂³	1	1	yes	characteristic
148	C₂×#117	C₂³	1	1	yes	characteristic
149	C₂×#117	C₂³	1	1	yes	characteristic
150	C₂×#117	C₂³	1	1	yes	characteristic
151	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
152	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
153	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
156	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
157	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
159	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
160	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
161	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
162	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄²	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄²	C₂×C₄	1	1	yes	characteristic
165	C₂²×C₄²	C₂×C₄	1	1	yes	characteristic
166	C₂²×C₄²	C₂×C₄	1	1	yes	characteristic
167	C₂²×C₄²	C₂³	1	1	yes	characteristic
168	C₂²×C₄²	C₂³	1	1	yes	characteristic
169	C₂²×C₄²	C₂³	1	1	yes	characteristic
170	C₂²×C₄²	C₂³	1	1	yes	characteristic
171	C₂²×C₄²	C₂³	1	1	yes	characteristic
172	C₂²×C₄²	C₂³	1	1	yes	characteristic
173	#433	—	2	8	no	—
174	#432	—	2	4	no	—
175	#432	—	2	4	no	—
176	#432	—	2	4	no	—
177	#431	—	2	4	no	—
178	C₂×C₄⋊C₈	C₂³	1	2	yes	—
179	C₂×C₄⋊C₈	C₂³	1	2	yes	—
180	C₂×C₄⋊C₈	C₂³	1	2	yes	—
181	C₂×C₄⋊C₈	C₂³	1	2	yes	—
182	C₂×C₄⋊C₈	C₂³	1	2	yes	—
183	C₂×C₄⋊C₈	C₂³	1	2	yes	—
184	C₂×C₄⋊C₈	C₂³	1	2	yes	—
185	C₂×C₄⋊C₈	C₂³	1	2	yes	—
186	C₂×C₄⋊C₈	C₂³	1	2	yes	—
187	C₂×C₄⋊C₈	C₂³	1	2	yes	—
188	#407	—	2	4	no	—
189	C₂×C₂²⋊C₈	—	2	4	no	—
190	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
204	#405	—	2	8	no	—
205	C₂×#97	C₂³	1	2	yes	—
206	C₂×#97	C₂³	1	2	yes	—
207	C₂×#97	C₂³	1	2	yes	—
208	C₂×#97	C₂³	1	2	yes	—
209	C₂×#97	C₂³	1	2	yes	—
210	C₂×#97	C₂³	1	2	yes	—
211	C₂×#97	C₂³	1	2	yes	—
212	C₂×#97	C₂³	1	2	yes	—
213	C₂×#97	C₂³	1	2	yes	—
214	C₂×C₄×C₈	C₂³	1	2	yes	—
215	C₂×C₄×C₈	C₂³	1	2	yes	—
216	C₂×C₄×C₈	C₂³	1	2	yes	—
217	C₂×C₄×C₈	C₂³	1	2	yes	—
218	C₂×C₄×C₈	C₂³	1	2	yes	—
219	#388	C₂×C₄	1	1	yes	characteristic
220	#388	C₂×C₄	1	1	yes	characteristic
221	#388	C₂×C₄	1	1	yes	characteristic
222	#388	C₂×C₄	1	1	yes	characteristic
223	#388	C₂×C₄	1	1	yes	characteristic
224	#388	C₂×C₄	1	1	yes	characteristic
225	#388	C₂×C₄	1	1	yes	characteristic
226	#388	C₂×C₄	1	1	yes	characteristic
227	#388	C₂×C₄	1	1	yes	characteristic
228	#388	C₂×C₄	1	1	yes	characteristic
229	#388	C₂×C₄	1	1	yes	characteristic
230	#388	C₂×C₄	1	1	yes	characteristic
231	#388	C₂×C₄	1	1	yes	characteristic
232	#388	C₂×C₄	1	1	yes	characteristic
233	#388	C₂×C₄	1	1	yes	characteristic
234	#388	C₂×C₄	1	1	yes	characteristic
235	#388	C₂×C₄	1	1	yes	characteristic
236	#388	C₂×C₄	1	1	yes	characteristic
237	#388	C₂×C₄	1	1	yes	characteristic
238	#388	C₂×C₄	1	1	yes	characteristic
239	#388	C₂×C₄	1	1	yes	characteristic
240	#388	C₂×C₄	1	1	yes	characteristic
241	#388	C₂×C₄	1	1	yes	characteristic
242	#388	C₂×C₄	1	1	yes	characteristic
243	#388	C₂×C₄	1	1	yes	characteristic
244	#388	C₂×C₄	1	1	yes	characteristic
245	#388	C₂×C₄	1	1	yes	characteristic
246	#388	C₂×C₄	1	1	yes	characteristic
247	#388	C₂×C₄	1	1	yes	characteristic
248	#388	C₂×C₄	1	1	yes	characteristic
249	#388	C₂×C₄	1	1	yes	characteristic
250	#388	C₂×C₄	1	1	yes	characteristic
251	#387	C₂×C₄	1	1	yes	characteristic
252	#387	C₂×C₄	1	1	yes	characteristic
253	#387	C₂×C₄	1	1	yes	characteristic
254	#387	C₂×C₄	1	1	yes	characteristic
255	#387	C₂×C₄	1	1	yes	characteristic
256	#387	C₂×C₄	1	1	yes	characteristic
257	#387	C₂×C₄	1	1	yes	characteristic
258	#387	C₂×C₄	1	1	yes	characteristic
259	#387	C₂×C₄	1	1	yes	characteristic
260	#387	C₂×C₄	1	1	yes	characteristic
261	#387	C₂×C₄	1	1	yes	characteristic
262	#387	C₂×C₄	1	1	yes	characteristic
263	#387	C₂×C₄	1	1	yes	characteristic
264	#387	C₂×C₄	1	1	yes	characteristic
265	#387	C₂×C₄	1	1	yes	characteristic
266	#387	C₂×C₄	1	1	yes	characteristic
267	#387	C₂×C₄	1	1	yes	characteristic
268	#387	C₂×C₄	1	1	yes	characteristic
269	#387	C₂×C₄	1	1	yes	characteristic
270	#387	C₂×C₄	1	1	yes	characteristic
271	#387	C₂×C₄	1	1	yes	characteristic
272	#387	C₂×C₄	1	1	yes	characteristic
273	#387	C₂×C₄	1	1	yes	characteristic
274	#387	C₂×C₄	1	1	yes	characteristic
275	#387	C₂×C₄	1	1	yes	characteristic
276	#387	C₂×C₄	1	1	yes	characteristic
277	#387	C₂×C₄	1	1	yes	characteristic
278	#387	C₂×C₄	1	1	yes	characteristic
279	#387	C₂×C₄	1	1	yes	characteristic
280	#387	C₂×C₄	1	1	yes	characteristic
281	#387	C₂×C₄	1	1	yes	characteristic
282	#387	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	C₂³	1	1	yes	characteristic
292	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
301	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
302	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
303	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
304	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
305	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
306	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
307	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	#376	C₂×C₄	1	1	yes	characteristic
316	#376	C₂×C₄	1	1	yes	characteristic
317	#376	C₂×C₄	1	1	yes	characteristic
318	#376	C₂×C₄	1	1	yes	characteristic
319	#376	C₂³	1	1	yes	characteristic
320	#376	C₂³	1	1	yes	characteristic
321	#376	C₂³	1	1	yes	characteristic
322	#376	C₂³	1	1	yes	characteristic
323	C₂×#95	C₂×C₄	1	1	yes	characteristic
324	C₂×#95	C₂×C₄	1	1	yes	characteristic
325	C₂×#95	C₂×C₄	1	1	yes	characteristic
326	C₂×#95	C₂×C₄	1	1	yes	characteristic
327	C₂×#95	C₂×C₄	1	1	yes	characteristic
328	C₂×#95	C₂×C₄	1	1	yes	characteristic
329	C₂×#95	C₂×C₄	1	1	yes	characteristic
330	C₂×#95	C₂×C₄	1	1	yes	characteristic
331	C₂×#95	C₂×C₄	1	1	yes	characteristic
332	C₂×#95	C₂×C₄	1	1	yes	characteristic
333	C₂×#95	C₂×C₄	1	1	yes	characteristic
334	C₂×#95	C₂×C₄	1	1	yes	characteristic
335	C₄³	C₂×C₄	1	1	yes	characteristic
336	C₄³	C₂×C₄	1	1	yes	characteristic
337	C₄³	C₂×C₄	1	1	yes	characteristic
338	C₄³	C₂×C₄	1	1	yes	characteristic
339	C₄³	C₂³	1	1	yes	characteristic
340	C₄³	C₂³	1	1	yes	characteristic
341	C₄³	C₂³	1	1	yes	characteristic
342	C₄³	C₂³	1	1	yes	characteristic
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	#336	C₂³	1	2	yes	—
365	#336	C₂³	1	2	yes	—
366	#336	C₂³	1	2	yes	—
367	C₂⁵	C₂²×C₄	1	1	yes	characteristic
368	C₂³×C₄	—	2	4	no	—
369	C₂³×C₄	—	2	2	no	—
370	C₂³×C₄	—	2	2	no	—
371	C₂³×C₄	—	4	2	no	—
372	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
373	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
374	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
375	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
376	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
377	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
378	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
379	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
380	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
381	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
382	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
383	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
384	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
385	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
386	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
387	C₂³×C₄	C₂⁴	1	1	yes	characteristic
388	C₂³×C₄	C₂⁴	1	1	yes	characteristic
389	C₂³×C₄	C₂⁴	1	1	yes	characteristic
390	C₂×M₁₆	—	2	4	no	—
391	C₂×M₁₆	—	2	4	no	—
392	C₂×M₁₆	—	4	2	no	—
393	C₂²×C₈	—	2	4	no	—
394	C₂²×C₈	—	2	4	no	—
395	C₂²×C₈	—	4	2	no	—
396	C₂²×C₈	C₂⁴	1	2	yes	—
397	C₂²×C₈	C₂⁴	1	2	yes	—
398	C₂²×C₈	C₂⁴	1	2	yes	—
399	C₂²×C₈	C₂⁴	1	2	yes	—
400	C₂²×C₈	C₂⁴	1	2	yes	—
401	C₂²×C₈	C₂⁴	1	2	yes	—
402	C₂²×C₈	C₂⁴	1	2	yes	—
403	C₂²×C₈	C₂⁴	1	2	yes	—
404	#117	—	2	4	no	—
405	#117	—	2	4	no	—
406	#117	—	2	4	no	—
407	#117	—	2	4	no	—
408	#117	—	2	4	no	—
409	#117	—	2	4	no	—
410	#117	—	2	4	no	—
411	#117	#41	1	8	yes	—
412	C₂×C₄⋊C₄	—	2	4	no	—
413	C₂×C₄⋊C₄	—	2	4	no	—
414	C₂×C₄⋊C₄	—	4	2	no	—
415	C₂×C₄⋊C₄	—	4	2	no	—
416	C₂×C₄⋊C₄	—	4	2	no	—
417	C₂×C₄⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	—	2	4	no	—
443	C₂×C₂²⋊C₄	—	2	4	no	—
444	C₂×C₂²⋊C₄	—	4	2	no	—
445	C₂×C₂²⋊C₄	—	4	2	no	—
446	C₂×C₂²⋊C₄	—	4	2	no	—
447	C₂×C₂²⋊C₄	—	4	2	no	—
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
458	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
459	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
462	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
463	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
472	C₂×C₄²	—	2	2	no	—
473	C₂×C₄²	—	2	2	no	—
474	C₂×C₄²	—	2	2	no	—
475	C₂×C₄²	—	2	2	no	—
476	C₂×C₄²	—	2	4	no	—
477	C₂×C₄²	—	2	4	no	—
478	C₂×C₄²	—	4	2	no	—
479	C₂×C₄²	—	4	2	no	—
480	C₂×C₄²	—	4	2	no	—
481	C₂×C₄²	—	4	2	no	—
482	C₂×C₄²	—	4	2	no	—
483	C₂×C₄²	—	4	2	no	—
484	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
492	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
493	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
494	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄²	C₂⁴	1	1	yes	characteristic
513	C₂×C₄²	C₂⁴	1	1	yes	characteristic
514	C₂×C₄²	C₂⁴	1	1	yes	characteristic
515	C₂×C₄²	C₂⁴	1	1	yes	characteristic
516	C₂×C₄²	C₂⁴	1	1	yes	characteristic
517	C₂×C₄²	C₂⁴	1	1	yes	characteristic
518	C₂×C₄²	C₂⁴	1	1	yes	characteristic
519	C₂×C₄²	C₂⁴	1	1	yes	characteristic
520	C₂×C₄²	C₂⁴	1	1	yes	characteristic
521	C₂×C₄²	C₂⁴	1	1	yes	characteristic
522	C₂×C₄²	C₂⁴	1	1	yes	characteristic
523	C₂×C₄²	C₂⁴	1	1	yes	characteristic
524	C₄⋊C₈	—	2	4	no	—
525	C₄⋊C₈	—	2	4	no	—
526	C₄⋊C₈	—	2	4	no	—
527	C₄⋊C₈	—	2	4	no	—
528	C₄⋊C₈	—	2	4	no	—
529	C₄⋊C₈	—	2	4	no	—
530	C₄⋊C₈	—	4	2	no	—
531	C₄⋊C₈	—	4	2	no	—
532	C₄⋊C₈	—	4	2	no	—
533	C₄⋊C₈	—	4	2	no	—
534	C₂²⋊C₈	—	2	2	no	—
535	C₂²⋊C₈	—	2	2	no	—
536	C₂²⋊C₈	—	2	2	no	—
537	C₂²⋊C₈	—	2	2	no	—
538	C₂²⋊C₈	—	2	2	no	—
539	C₂²⋊C₈	—	2	2	no	—
540	C₂²⋊C₈	—	2	4	no	—
541	C₂²⋊C₈	—	2	4	no	—
542	C₂²⋊C₈	—	2	4	no	—
543	C₂²⋊C₈	—	2	4	no	—
544	C₂²⋊C₈	—	4	2	no	—
545	C₂²⋊C₈	—	4	2	no	—
546	C₂²⋊C₈	#41	1	4	yes	—
547	C₂²⋊C₈	#41	1	4	yes	—
548	#97	—	2	4	no	—
549	#97	—	2	4	no	—
550	#97	—	2	4	no	—
551	#97	—	2	4	no	—
552	#97	—	2	4	no	—
553	#97	—	2	4	no	—
554	#97	—	4	2	no	—
555	#97	—	4	2	no	—
556	#97	—	4	2	no	—
557	C₄×C₈	—	2	4	no	—
558	C₄×C₈	—	2	4	no	—
559	C₄×C₈	—	2	4	no	—
560	C₄×C₈	—	2	4	no	—
561	C₄×C₈	—	4	2	no	—
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	#95	C₂²×C₄	1	1	yes	characteristic
588	#95	C₂²×C₄	1	1	yes	characteristic
589	#95	C₂²×C₄	1	1	yes	characteristic
590	#95	C₂²×C₄	1	1	yes	characteristic
591	#95	C₂²×C₄	1	1	yes	characteristic
592	#95	C₂²×C₄	1	1	yes	characteristic
593	#95	C₂²×C₄	1	1	yes	characteristic
594	#95	C₂²×C₄	1	1	yes	characteristic
595	#95	C₂²×C₄	1	1	yes	characteristic
596	#95	C₂²×C₄	1	1	yes	characteristic
597	#95	C₂²×C₄	1	1	yes	characteristic
598	#95	C₂²×C₄	1	1	yes	characteristic
599	#95	C₂²×C₄	1	1	yes	characteristic
600	#95	C₂²×C₄	1	1	yes	characteristic
601	#95	C₂²×C₄	1	1	yes	characteristic
602	#95	C₂²×C₄	1	1	yes	characteristic
603	#95	C₂²×C₄	1	1	yes	characteristic
604	#95	C₂²×C₄	1	1	yes	characteristic
605	#95	C₂²×C₄	1	1	yes	characteristic
606	#95	C₂²×C₄	1	1	yes	characteristic
607	#95	C₂²×C₄	1	1	yes	characteristic
608	#95	C₂²×C₄	1	1	yes	characteristic
609	#95	C₂²×C₄	1	1	yes	characteristic
610	C₂⁴	—	2	2	no	—
611	C₂⁴	—	2	2	no	—
612	C₂⁴	—	2	2	no	—
613	C₂⁴	—	2	2	no	—
614	C₂⁴	—	4	1	no	—
615	C₂⁴	—	4	1	no	—
616	C₂⁴	—	4	1	no	—
617	C₂⁴	C₂³×C₄	1	1	yes	characteristic
618	C₂⁴	C₂³×C₄	1	1	yes	characteristic
619	C₂⁴	C₂³×C₄	1	1	yes	characteristic
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	2	1	no	—
622	C₂²×C₄	—	2	1	no	—
623	C₂²×C₄	—	2	2	no	—
624	C₂²×C₄	—	2	2	no	—
625	C₂²×C₄	—	2	2	no	—
626	C₂²×C₄	—	2	2	no	—
627	C₂²×C₄	—	2	2	no	—
628	C₂²×C₄	—	2	2	no	—
629	C₂²×C₄	—	2	2	no	—
630	C₂²×C₄	—	2	2	no	—
631	C₂²×C₄	—	2	2	no	—
632	C₂²×C₄	—	2	2	no	—
633	C₂²×C₄	—	2	2	no	—
634	C₂²×C₄	—	2	2	no	—
635	C₂²×C₄	—	2	2	no	—
636	C₂²×C₄	—	2	2	no	—
637	C₂²×C₄	—	2	2	no	—
638	C₂²×C₄	—	2	2	no	—
639	C₂²×C₄	—	2	2	no	—
640	C₂²×C₄	—	2	2	no	—
641	C₂²×C₄	—	2	2	no	—
642	C₂²×C₄	—	2	2	no	—
643	C₂²×C₄	—	2	2	no	—
644	C₂²×C₄	—	2	2	no	—
645	C₂²×C₄	—	2	2	no	—
646	C₂²×C₄	—	2	2	no	—
647	C₂²×C₄	—	2	2	no	—
648	C₂²×C₄	—	2	2	no	—
649	C₂²×C₄	—	2	2	no	—
650	C₂²×C₄	—	2	2	no	—
651	C₂²×C₄	—	2	2	no	—
652	C₂²×C₄	—	2	2	no	—
653	C₂²×C₄	—	2	1	no	—
654	C₂²×C₄	—	2	1	no	—
655	C₂²×C₄	—	2	2	no	—
656	C₂²×C₄	—	2	2	no	—
657	C₂²×C₄	—	4	1	no	—
658	C₂²×C₄	—	4	1	no	—
659	C₂²×C₄	—	4	1	no	—
660	C₂²×C₄	—	4	1	no	—
661	C₂²×C₄	—	4	1	no	—
662	C₂²×C₄	—	4	1	no	—
663	C₂²×C₄	—	4	1	no	—
664	C₂²×C₄	—	4	1	no	—
665	C₂²×C₄	—	4	1	no	—
666	C₂²×C₄	—	4	1	no	—
667	C₂²×C₄	—	4	1	no	—
668	C₂²×C₄	—	4	8	no	—
669	C₂²×C₄	—	4	8	no	—
670	C₂²×C₄	—	4	1	no	—
671	C₂²×C₄	—	4	1	no	—
672	C₂²×C₄	—	4	1	no	—
673	C₂²×C₄	—	4	1	no	—
674	C₂²×C₄	—	4	1	no	—
675	C₂²×C₄	—	4	1	no	—
676	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
677	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
678	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
679	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
680	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
681	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
682	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
683	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
684	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
685	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
686	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
687	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
688	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
689	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
690	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
691	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
692	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
693	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
694	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
695	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
696	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
697	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
698	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
699	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
700	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
701	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
702	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
703	C₂²×C₄	C₂×#41	1	4	yes	—
704	C₂²×C₄	C₂×#41	1	2	yes	—
705	C₂²×C₄	C₂×#41	1	2	yes	—
706	C₂²×C₄	C₂⁵	1	1	yes	characteristic
707	M₁₆	—	4	8	no	—
708	C₂×C₈	—	2	2	no	—
709	C₂×C₈	—	2	2	no	—
710	C₂×C₈	—	2	2	no	—
711	C₂×C₈	—	2	2	no	—
712	C₂×C₈	—	2	2	no	—
713	C₂×C₈	—	2	2	no	—
714	C₂×C₈	—	2	2	no	—
715	C₂×C₈	—	2	2	no	—
716	C₂×C₈	—	2	2	no	—
717	C₂×C₈	—	2	2	no	—
718	C₂×C₈	—	2	2	no	—
719	C₂×C₈	—	2	2	no	—
720	C₂×C₈	—	2	2	no	—
721	C₂×C₈	—	2	2	no	—
722	C₂×C₈	—	2	2	no	—
723	C₂×C₈	—	2	2	no	—
724	C₂×C₈	—	2	2	no	—
725	C₂×C₈	—	2	2	no	—
726	C₂×C₈	—	2	2	no	—
727	C₂×C₈	—	2	2	no	—
728	C₂×C₈	—	2	2	no	—
729	C₂×C₈	—	2	2	no	—
730	C₂×C₈	—	4	8	no	—
731	C₂×C₈	C₂×#41	1	4	yes	—
732	C₂×C₈	C₂×#41	1	4	yes	—
733	C₄⋊C₄	—	2	2	no	—
734	C₄⋊C₄	—	2	2	no	—
735	C₄⋊C₄	—	2	2	no	—
736	C₄⋊C₄	—	2	2	no	—
737	C₄⋊C₄	—	2	2	no	—
738	C₄⋊C₄	—	2	2	no	—
739	C₄⋊C₄	—	2	2	no	—
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	2	2	no	—
742	C₄⋊C₄	—	2	2	no	—
743	C₄⋊C₄	—	4	1	no	—
744	C₄⋊C₄	—	4	1	no	—
745	C₄⋊C₄	—	4	1	no	—
746	C₄⋊C₄	—	4	1	no	—
747	C₄⋊C₄	—	4	1	no	—
748	C₄⋊C₄	—	4	1	no	—
749	C₄⋊C₄	—	4	1	no	—
750	C₄⋊C₄	—	4	1	no	—
751	C₄⋊C₄	—	4	1	no	—
752	C₄⋊C₄	—	4	1	no	—
753	C₄⋊C₄	—	4	1	no	—
754	C₄⋊C₄	—	4	1	no	—
755	C₄⋊C₄	#117	1	4	yes	—
756	C₄⋊C₄	#117	1	4	yes	—
757	C₂²⋊C₄	—	2	2	no	—
758	C₂²⋊C₄	—	2	2	no	—
759	C₂²⋊C₄	—	2	2	no	—
760	C₂²⋊C₄	—	2	2	no	—
761	C₂²⋊C₄	—	2	2	no	—
762	C₂²⋊C₄	—	2	2	no	—
763	C₂²⋊C₄	—	2	2	no	—
764	C₂²⋊C₄	—	2	2	no	—
765	C₂²⋊C₄	—	2	2	no	—
766	C₂²⋊C₄	—	2	2	no	—
767	C₂²⋊C₄	—	4	1	no	—
768	C₂²⋊C₄	—	4	1	no	—
769	C₂²⋊C₄	—	4	1	no	—
770	C₂²⋊C₄	—	4	1	no	—
771	C₂²⋊C₄	—	4	1	no	—
772	C₂²⋊C₄	—	4	1	no	—
773	C₂²⋊C₄	—	4	1	no	—
774	C₂²⋊C₄	—	4	1	no	—
775	C₂²⋊C₄	—	4	1	no	—
776	C₂²⋊C₄	—	4	1	no	—
777	C₂²⋊C₄	—	4	1	no	—
778	C₂²⋊C₄	—	4	1	no	—
779	C₂²⋊C₄	#117	1	4	yes	—
780	C₂²⋊C₄	#117	1	4	yes	—
781	C₄²	—	2	2	no	—
782	C₄²	—	2	2	no	—
783	C₄²	—	2	2	no	—
784	C₄²	—	2	2	no	—
785	C₄²	—	2	2	no	—
786	C₄²	—	2	2	no	—
787	C₄²	—	2	2	no	—
788	C₄²	—	2	2	no	—
789	C₄²	—	2	2	no	—
790	C₄²	—	2	2	no	—
791	C₄²	—	2	2	no	—
792	C₄²	—	2	2	no	—
793	C₄²	—	2	1	no	—
794	C₄²	—	2	1	no	—
795	C₄²	—	2	1	no	—
796	C₄²	—	2	1	no	—
797	C₄²	—	2	1	no	—
798	C₄²	—	2	1	no	—
799	C₄²	—	2	1	no	—
800	C₄²	—	2	1	no	—
801	C₄²	—	2	2	no	—
802	C₄²	—	2	2	no	—
803	C₄²	—	2	2	no	—
804	C₄²	—	2	2	no	—
805	C₄²	—	2	2	no	—
806	C₄²	—	2	2	no	—
807	C₄²	—	4	1	no	—
808	C₄²	—	4	1	no	—
809	C₄²	—	4	1	no	—
810	C₄²	—	4	1	no	—
811	C₄²	—	4	1	no	—
812	C₄²	—	4	1	no	—
813	C₄²	—	4	1	no	—
814	C₄²	—	4	1	no	—
815	C₄²	—	4	1	no	—
816	C₄²	—	4	1	no	—
817	C₄²	—	4	1	no	—
818	C₄²	—	4	1	no	—
819	C₄²	—	4	1	no	—
820	C₄²	—	4	1	no	—
821	C₄²	—	4	1	no	—
822	C₄²	—	4	1	no	—
823	C₄²	C₂×#41	1	4	yes	—
824	C₄²	C₂×#41	1	4	yes	—
825	C₂³	—	2	1	no	—
826	C₂³	—	2	1	no	—
827	C₂³	—	2	1	no	—
828	C₂³	—	2	1	no	—
829	C₂³	—	2	1	no	—
830	C₂³	—	2	1	no	—
831	C₂³	—	2	1	no	—
832	C₂³	—	2	1	no	—
833	C₂³	—	2	1	no	—
834	C₂³	—	2	1	no	—
835	C₂³	—	2	1	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	1	no	—
838	C₂³	—	2	1	no	—
839	C₂³	—	2	1	no	—
840	C₂³	—	2	1	no	—
841	C₂³	—	2	1	no	—
842	C₂³	—	4	4	no	—
843	C₂³	—	4	4	no	—
844	C₂³	—	4	4	no	—
845	C₂³	—	4	4	no	—
846	C₂³	—	8	2	no	—
847	C₂³	—	8	2	no	—
848	C₂³	—	8	2	no	—
849	C₂³	C₂×#117	1	2	yes	—
850	C₂³	C₄×#41	1	2	yes	—
851	C₂³	#568	1	2	yes	—
852	C₂³	#568	1	2	yes	—
853	C₂³	C₂⁴×C₄	1	1	yes	characteristic
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	4	no	—
871	C₂×C₄	—	2	4	no	—
872	C₂×C₄	—	2	4	no	—
873	C₂×C₄	—	2	4	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	1	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	4	4	no	—
932	C₂×C₄	—	4	4	no	—
933	C₂×C₄	—	4	4	no	—
934	C₂×C₄	—	4	4	no	—
935	C₂×C₄	—	4	4	no	—
936	C₂×C₄	—	4	4	no	—
937	C₂×C₄	—	4	4	no	—
938	C₂×C₄	—	4	4	no	—
939	C₂×C₄	—	4	4	no	—
940	C₂×C₄	—	4	4	no	—
941	C₂×C₄	—	4	4	no	—
942	C₂×C₄	—	4	4	no	—
943	C₂×C₄	—	4	2	no	—
944	C₂×C₄	—	4	2	no	—
945	C₂×C₄	—	8	2	no	—
946	C₂×C₄	—	8	2	no	—
947	C₂×C₄	—	8	2	no	—
948	C₂×C₄	C₂×#117	1	2	yes	—
949	C₂×C₄	C₂×#117	1	2	yes	—
950	C₂×C₄	C₂×#117	1	2	yes	—
951	C₂×C₄	C₂×#117	1	2	yes	—
952	C₂×C₄	C₂×#117	1	2	yes	—
953	C₂×C₄	C₄×#41	1	2	yes	—
954	C₂×C₄	#568	1	2	yes	—
955	C₂×C₄	#568	1	2	yes	—
956	C₂×C₄	C₂²×#41	1	2	yes	—
957	C₂×C₄	C₂²×#41	1	1	yes	characteristic
958	C₂×C₄	C₂²×#41	1	1	yes	characteristic
959	C₂×C₄	#585	1	2	yes	—
960	C₈	—	2	4	no	—
961	C₈	—	2	4	no	—
962	C₈	—	4	2	no	—
963	C₈	—	4	2	no	—
964	C₈	—	4	2	no	—
965	C₈	—	4	2	no	—
966	C₈	—	4	2	no	—
967	C₈	—	4	2	no	—
968	C₂²	—	2	2	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	2	no	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	1	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	1	no	—
983	C₂²	—	4	1	no	—
984	C₂²	—	4	1	no	—
985	C₂²	—	4	1	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	1	no	—
988	C₂²	—	8	8	no	—
989	C₂²	#2967	1	4	yes	—
990	C₂²	C₂²×#117	1	1	yes	characteristic
991	C₂²	C₂×C₄×#41	1	1	yes	characteristic
992	C₂²	#3428	1	1	yes	characteristic
993	C₂²	C₂×#568	1	1	yes	characteristic
994	C₂²	C₂×#568	1	1	yes	characteristic
995	C₂²	C₂×#568	1	1	yes	characteristic
996	C₂²	C₂×#568	1	1	yes	characteristic
997	C₄	—	2	2	no	—
998	C₄	—	2	2	no	—
999	C₄	—	2	2	no	—
1000	C₄	—	2	2	no	—
1001	C₄	—	2	2	no	—
1002	C₄	—	2	2	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	4	1	no	—
1006	C₄	—	4	1	no	—
1007	C₄	—	4	1	no	—
1008	C₄	—	4	1	no	—
1009	C₄	—	4	1	no	—
1010	C₄	—	4	1	no	—
1011	C₄	—	4	1	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	1	no	—
1014	C₄	—	4	1	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	1	no	—
1017	C₄	—	4	1	no	—
1018	C₄	—	4	1	no	—
1019	C₄	—	4	1	no	—
1020	C₄	—	4	1	no	—
1021	C₄	—	4	1	no	—
1022	C₄	—	4	1	no	—
1023	C₄	—	4	1	no	—
1024	C₄	#3475	1	2	yes	—
1025	C₄	#3475	1	2	yes	—
1026	C₂	—	2	4	no	—
1027	C₂	—	4	2	no	—
1028	C₂	—	8	1	no	—
1029	C₂	#34109	1	1	yes	characteristic
1030	C₂	#60128	1	1	yes	characteristic
1031	C₂	#60128	1	1	yes	characteristic
1032	C₂	C₂×#2967	1	1	yes	characteristic
1033	C₂	#60214	1	1	yes	characteristic
1034	C₂	#60289	1	1	yes	characteristic
1035	C₂	#60291	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂⁵	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. #22645	C₂	semidirect
3. #22638	C₂	semidirect
4. #22629	C₂	semidirect
5. #22627	C₂	semidirect
6. #22603	C₂	semidirect
7. #22601	C₂	semidirect
8. #22598	C₂	semidirect
9. #22594	C₂	semidirect
14. #21436	C₂	semidirect
15. #21433	C₂	semidirect
16. #21357	C₂	semidirect
17. #20779	C₂	semidirect
18. #20778	C₂	semidirect
20. #20475	C₂	semidirect
21. #20469	C₂	semidirect
22. C₄×#432	C₂	semidirect
63. #1940	C₂²	semidirect
64. #1940	C₂²	semidirect
65. #1939	C₂²	semidirect
66. #1939	C₂²	semidirect
75. #1917	C₂²	semidirect
76. #1917	C₂²	semidirect
77. #1917	C₂²	semidirect
78. #1917	C₂²	semidirect
79. #1917	C₂²	semidirect
80. #1917	C₂²	semidirect
81. #1916	C₂²	semidirect
82. #1916	C₂²	semidirect
87. #1840	C₂²	semidirect
88. #1839	C₂²	semidirect
89. #1832	C₂²	semidirect
90. #1831	C₂²	semidirect
105. #1771	C₂²	semidirect
106. #1771	C₂²	semidirect
107. #1770	C₂²	semidirect
108. #1770	C₂²	semidirect
109. #1768	C₂²	semidirect
110. #1768	C₂²	semidirect
111. #1768	C₂²	semidirect
112. #1767	C₂²	semidirect
113. #1767	C₂²	semidirect
114. C₄×C₄⋊C₈	C₂²	semidirect
132. #1746	C₂²	semidirect
133. #1746	C₂²	semidirect
134. #1745	C₂²	semidirect
135. #1745	C₂²	semidirect
137. #1726	C₂²	semidirect
138. C₄×#97	C₂²	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2298	2
#22645	2
#22638	2
#22629	2
#22627	2
#22603	2
#22601	2
#22598	2
#22594	2
#22555	2
#22554	2
#22553	2
#21436	2
#21433	2
#21357	2
#20779	2
#20778	2
#20716	2
#20475	2
#20469	2
C₄×#432	2
#20379	2