Subgroups — #6380021

Order 512.

1567 conjugacy classes of subgroups.

The subgroup lattice has 1251 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34121	C₂	1	1	yes	maximal, characteristic
2	#22645	C₂	1	1	yes	maximal, characteristic, complemented
3	#22644	C₂	1	1	yes	maximal, characteristic, complemented
4	#22638	C₂	1	1	yes	maximal, characteristic, complemented
5	#22638	C₂	1	1	yes	maximal, characteristic, complemented
6	#22628	C₂	1	1	yes	maximal, characteristic, complemented
7	#22626	C₂	1	1	yes	maximal, characteristic, complemented
8	#22603	C₂	1	1	yes	maximal, characteristic, complemented
9	#22601	C₂	1	1	yes	maximal, characteristic, complemented
10	#22596	C₂	1	1	yes	maximal, characteristic, complemented
11	#22595	C₂	1	1	yes	maximal, characteristic, complemented
12	#22592	C₂	1	1	yes	maximal, characteristic, complemented
13	#22591	C₂	1	1	yes	maximal, characteristic, complemented
14	#22557	C₂	1	1	yes	maximal, characteristic
15	#22557	C₂	1	1	yes	maximal, characteristic
16	#22557	C₂	1	1	yes	maximal, characteristic
17	#22556	C₂	1	1	yes	maximal, characteristic
18	#21437	C₂	1	1	yes	maximal, characteristic, complemented
19	#21437	C₂	1	1	yes	maximal, characteristic, complemented
20	#21435	C₂	1	1	yes	maximal, characteristic, complemented
21	#21431	C₂	1	1	yes	maximal, characteristic, complemented
22	#21357	C₂	1	1	yes	maximal, characteristic, complemented
23	#21357	C₂	1	1	yes	maximal, characteristic, complemented
24	#20781	C₂	1	1	yes	maximal, characteristic, complemented
25	#20780	C₂	1	1	yes	maximal, characteristic, complemented
26	#20720	C₂	1	1	yes	maximal, characteristic
27	#20478	C₂	1	1	yes	maximal, characteristic, complemented
28	#20475	C₂	1	1	yes	maximal, characteristic, complemented
29	#20470	C₂	1	1	yes	maximal, characteristic, complemented
30	#20467	C₂	1	1	yes	maximal, characteristic, complemented
31	#20378	C₂	1	1	yes	maximal, characteristic
32	C₂×C₄×#41	C₂²	1	1	yes	characteristic
33	C₂×#433	C₂²	1	1	yes	characteristic
34	C₂×#433	C₂²	1	1	yes	characteristic
35	C₂×#432	C₂²	1	1	yes	characteristic
36	C₂×#432	C₂²	1	1	yes	characteristic
37	C₂×#432	C₂²	1	1	yes	characteristic
38	C₂×#431	C₂²	1	1	yes	characteristic
39	C₂×#408	C₂²	1	1	yes	characteristic
40	C₂×#408	C₂²	1	1	yes	characteristic
41	C₂×#405	C₂²	1	1	yes	characteristic
42	C₂×#405	C₂²	1	1	yes	characteristic
43	#2357	C₄	1	1	yes	characteristic
44	#2357	C₄	1	1	yes	characteristic
45	#2356	C₄	1	1	yes	characteristic
46	#2356	C₄	1	1	yes	characteristic
47	#2355	C₄	1	1	yes	characteristic
48	#2355	C₄	1	1	yes	characteristic
49	#2354	C₄	1	1	yes	characteristic
50	#2354	C₄	1	1	yes	characteristic
51	#2353	C₄	1	1	yes	characteristic
52	#2353	C₄	1	1	yes	characteristic
53	#2353	C₄	1	1	yes	characteristic
54	#2353	C₄	1	1	yes	characteristic
55	#2352	C₄	1	1	yes	characteristic
56	#2352	C₄	1	1	yes	characteristic
57	#2352	C₄	1	1	yes	characteristic
58	#2352	C₄	1	1	yes	characteristic
59	#2298	C₂²	1	1	yes	characteristic
60	#2298	C₂²	1	1	yes	characteristic
61	#2298	C₂²	1	1	yes	characteristic
62	#2298	C₂²	1	1	yes	characteristic
63	#2297	C₂²	1	1	yes	characteristic
64	#2297	C₂²	1	1	yes	characteristic
65	#2285	C₂²	1	1	yes	characteristic
66	#2283	C₂²	1	1	yes	characteristic
67	#2283	C₂²	1	1	yes	characteristic
68	C₄×#117	C₂²	1	1	yes	characteristic
69	C₄×#117	C₂²	1	1	yes	characteristic
70	C₄×#117	C₂²	1	1	yes	characteristic
71	C₄×#117	C₂²	1	1	yes	characteristic
72	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
73	#1940	C₂²	1	1	yes	characteristic
74	#1940	C₂²	1	1	yes	characteristic
75	#1940	C₂²	1	1	yes	characteristic
76	#1940	C₂²	1	1	yes	characteristic
77	#1939	C₂²	1	1	yes	characteristic
78	#1939	C₂²	1	1	yes	characteristic
79	#1939	C₂²	1	1	yes	characteristic
80	#1939	C₂²	1	1	yes	characteristic
81	#1924	C₂²	1	1	yes	characteristic
82	#1924	C₂²	1	1	yes	characteristic
83	#1924	C₂²	1	1	yes	characteristic
84	#1924	C₂²	1	1	yes	characteristic
85	#1924	C₂²	1	1	yes	characteristic
86	#1924	C₂²	1	1	yes	characteristic
87	#1924	C₂²	1	1	yes	characteristic
88	#1924	C₂²	1	1	yes	characteristic
89	#1924	C₂²	1	1	yes	characteristic
90	#1924	C₂²	1	1	yes	characteristic
91	#1923	C₂²	1	1	yes	characteristic
92	#1923	C₂²	1	1	yes	characteristic
93	#1923	C₂²	1	1	yes	characteristic
94	#1923	C₂²	1	1	yes	characteristic
95	#1923	C₂²	1	1	yes	characteristic
96	#1923	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	#1916	C₂²	1	1	yes	characteristic
108	#1916	C₂²	1	1	yes	characteristic
109	#1916	C₂²	1	1	yes	characteristic
110	#1916	C₂²	1	1	yes	characteristic
111	#1916	C₂²	1	1	yes	characteristic
112	#1916	C₂²	1	1	yes	characteristic
113	#1851	C₂²	1	1	yes	characteristic
114	#1851	C₂²	1	1	yes	characteristic
115	#1851	C₂²	1	1	yes	characteristic
116	#1851	C₂²	1	1	yes	characteristic
117	#1850	C₂²	1	1	yes	characteristic
118	#1850	C₂²	1	1	yes	characteristic
119	#1850	C₂²	1	1	yes	characteristic
120	#1850	C₂²	1	1	yes	characteristic
121	#1840	C₂²	1	1	yes	characteristic
122	#1840	C₂²	1	1	yes	characteristic
123	#1839	C₂²	1	1	yes	characteristic
124	#1839	C₂²	1	1	yes	characteristic
125	#1832	C₂²	1	1	yes	characteristic
126	#1832	C₂²	1	1	yes	characteristic
127	#1831	C₂²	1	1	yes	characteristic
128	#1831	C₂²	1	1	yes	characteristic
129	#1817	C₂²	1	1	yes	characteristic
130	#1817	C₂²	1	1	yes	characteristic
131	#1817	C₂²	1	1	yes	characteristic
132	#1817	C₂²	1	1	yes	characteristic
133	#1817	C₂²	1	1	yes	characteristic
134	#1817	C₂²	1	1	yes	characteristic
135	#1798	C₂²	1	1	yes	characteristic
136	#1798	C₂²	1	1	yes	characteristic
137	#1798	C₂²	1	1	yes	characteristic
138	#1798	C₂²	1	1	yes	characteristic
139	#1798	C₂²	1	1	yes	characteristic
140	#1798	C₂²	1	1	yes	characteristic
141	#1797	C₂²	1	1	yes	characteristic
142	#1797	C₂²	1	1	yes	characteristic
143	#1780	C₂²	1	1	yes	characteristic
144	#1780	C₂²	1	1	yes	characteristic
145	#1771	C₂²	1	1	yes	characteristic
146	#1771	C₂²	1	1	yes	characteristic
147	#1771	C₂²	1	1	yes	characteristic
148	#1771	C₂²	1	1	yes	characteristic
149	#1770	C₂²	1	1	yes	characteristic
150	#1770	C₂²	1	1	yes	characteristic
151	#1770	C₂²	1	1	yes	characteristic
152	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	#1768	C₂²	1	1	yes	characteristic
154	#1768	C₂²	1	1	yes	characteristic
155	#1768	C₂²	1	1	yes	characteristic
156	#1768	C₂²	1	1	yes	characteristic
157	#1768	C₂²	1	1	yes	characteristic
158	#1768	C₂²	1	1	yes	characteristic
159	#1767	C₂²	1	1	yes	characteristic
160	#1767	C₂²	1	1	yes	characteristic
161	#1767	C₂²	1	1	yes	characteristic
162	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
163	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
164	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
165	#1753	C₂²	1	1	yes	characteristic
166	#1753	C₂²	1	1	yes	characteristic
167	#1753	C₂²	1	1	yes	characteristic
168	#1753	C₂²	1	1	yes	characteristic
169	#1752	C₂²	1	1	yes	characteristic
170	#1752	C₂²	1	1	yes	characteristic
171	#1752	C₂²	1	1	yes	characteristic
172	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	#1750	C₂²	1	1	yes	characteristic
174	#1750	C₂²	1	1	yes	characteristic
175	#1750	C₂²	1	1	yes	characteristic
176	#1750	C₂²	1	1	yes	characteristic
177	#1750	C₂²	1	1	yes	characteristic
178	#1750	C₂²	1	1	yes	characteristic
179	#1750	C₂²	1	1	yes	characteristic
180	#1750	C₂²	1	1	yes	characteristic
181	#1750	C₂²	1	1	yes	characteristic
182	#1750	C₂²	1	1	yes	characteristic
183	#1749	C₂²	1	1	yes	characteristic
184	#1749	C₂²	1	1	yes	characteristic
185	#1749	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
188	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
189	#1746	C₂²	1	1	yes	characteristic
190	#1746	C₂²	1	1	yes	characteristic
191	#1746	C₂²	1	1	yes	characteristic
192	#1746	C₂²	1	1	yes	characteristic
193	#1745	C₂²	1	1	yes	characteristic
194	#1745	C₂²	1	1	yes	characteristic
195	#1745	C₂²	1	1	yes	characteristic
196	#1744	C₂²	1	1	yes	characteristic
197	#1728	C₂²	1	1	yes	characteristic
198	C₂×#336	C₂²	1	1	yes	characteristic
199	#1726	C₂²	1	1	yes	characteristic
200	#1726	C₂²	1	1	yes	characteristic
201	C₄×#97	C₂²	1	1	yes	characteristic
202	C₄×#97	C₂²	1	1	yes	characteristic
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	C₂³	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂³×C₈	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₄×#41	—	2	4	no	—
209	C₄×#41	—	2	4	no	—
210	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
211	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
212	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
213	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
214	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
215	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
216	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
217	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
218	C₂×#117	C₂×C₄	1	1	yes	characteristic
219	C₂×#117	C₂×C₄	1	1	yes	characteristic
220	C₂×#117	C₂×C₄	1	1	yes	characteristic
221	C₂×#117	C₂×C₄	1	1	yes	characteristic
222	C₂×#117	C₂³	1	1	yes	characteristic
223	C₂×#117	C₂³	1	1	yes	characteristic
224	C₂×#117	C₂³	1	1	yes	characteristic
225	C₂×#117	C₂³	1	1	yes	characteristic
226	C₂×#117	C₂³	1	1	yes	characteristic
227	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
228	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₂²×C₄²	C₂³	1	1	yes	characteristic
230	C₂²×C₄²	C₂³	1	1	yes	characteristic
231	C₂²×C₄²	C₂³	1	1	yes	characteristic
232	C₂²×C₄²	C₂³	1	1	yes	characteristic
233	C₂²×C₄²	C₂³	1	1	yes	characteristic
234	#433	—	2	4	no	—
235	#433	—	2	4	no	—
236	#432	—	2	4	no	—
237	#432	—	2	4	no	—
238	#432	—	2	4	no	—
239	#431	—	2	4	no	—
240	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₂×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	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	#408	—	2	4	no	—
261	#408	—	2	4	no	—
262	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	#405	—	2	4	no	—
283	#405	—	2	4	no	—
284	C₂×#97	C₂³	1	1	yes	characteristic
285	C₂×#97	C₂³	1	1	yes	characteristic
286	C₂×#97	C₂³	1	1	yes	characteristic
287	C₂×#97	C₂³	1	1	yes	characteristic
288	C₂×#97	C₂³	1	1	yes	characteristic
289	C₂×#97	C₂³	1	1	yes	characteristic
290	C₂×#97	C₂³	1	1	yes	characteristic
291	C₂×#97	C₂³	1	1	yes	characteristic
292	C₂×#97	C₂³	1	1	yes	characteristic
293	C₂×#97	C₂³	1	1	yes	characteristic
294	C₂×#97	C₂³	1	1	yes	characteristic
295	C₂×#97	C₂³	1	1	yes	characteristic
296	C₂×#97	C₂³	1	1	yes	characteristic
297	C₂×#97	C₂³	1	1	yes	characteristic
298	C₂×#97	C₂³	1	1	yes	characteristic
299	C₂×#97	C₂³	1	1	yes	characteristic
300	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
301	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
302	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
303	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
304	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
305	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
306	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
307	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
308	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
309	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
310	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
311	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
312	#391	C₂×C₄	1	1	yes	characteristic
313	#391	C₂×C₄	1	1	yes	characteristic
314	#391	C₂×C₄	1	1	yes	characteristic
315	#391	C₂×C₄	1	1	yes	characteristic
316	#390	C₂×C₄	1	1	yes	characteristic
317	#390	C₂×C₄	1	1	yes	characteristic
318	#390	C₂×C₄	1	1	yes	characteristic
319	#390	C₂×C₄	1	1	yes	characteristic
320	#388	C₂×C₄	1	1	yes	characteristic
321	#388	C₂×C₄	1	1	yes	characteristic
322	#388	C₂×C₄	1	1	yes	characteristic
323	#388	C₂×C₄	1	1	yes	characteristic
324	#388	C₂×C₄	1	1	yes	characteristic
325	#388	C₂×C₄	1	1	yes	characteristic
326	#388	C₂×C₄	1	1	yes	characteristic
327	#388	C₂×C₄	1	1	yes	characteristic
328	#388	C₂×C₄	1	1	yes	characteristic
329	#388	C₂×C₄	1	1	yes	characteristic
330	#388	C₂×C₄	1	1	yes	characteristic
331	#388	C₂×C₄	1	1	yes	characteristic
332	#388	C₂×C₄	1	1	yes	characteristic
333	#388	C₂×C₄	1	1	yes	characteristic
334	#388	C₂×C₄	1	1	yes	characteristic
335	#388	C₂×C₄	1	1	yes	characteristic
336	#387	C₂×C₄	1	1	yes	characteristic
337	#387	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	#386	C₂×C₄	1	1	yes	characteristic
353	#386	C₂×C₄	1	1	yes	characteristic
354	#386	C₂×C₄	1	1	yes	characteristic
355	#386	C₂×C₄	1	1	yes	characteristic
356	#386	C₂×C₄	1	1	yes	characteristic
357	#386	C₂×C₄	1	1	yes	characteristic
358	#386	C₂×C₄	1	1	yes	characteristic
359	#386	C₂×C₄	1	1	yes	characteristic
360	#384	C₂×C₄	1	1	yes	characteristic
361	#384	C₂×C₄	1	1	yes	characteristic
362	#383	C₂×C₄	1	1	yes	characteristic
363	#383	C₂×C₄	1	1	yes	characteristic
364	#383	C₂×C₄	1	1	yes	characteristic
365	#383	C₂×C₄	1	1	yes	characteristic
366	#382	C₂×C₄	1	1	yes	characteristic
367	#382	C₂×C₄	1	1	yes	characteristic
368	#382	C₂×C₄	1	1	yes	characteristic
369	#382	C₂×C₄	1	1	yes	characteristic
370	#382	C₂×C₄	1	1	yes	characteristic
371	#382	C₂×C₄	1	1	yes	characteristic
372	#381	C₂×C₄	1	1	yes	characteristic
373	#381	C₂×C₄	1	1	yes	characteristic
374	#381	C₂×C₄	1	1	yes	characteristic
375	#381	C₂×C₄	1	1	yes	characteristic
376	#380	C₂×C₄	1	1	yes	characteristic
377	#380	C₂×C₄	1	1	yes	characteristic
378	#380	C₂×C₄	1	1	yes	characteristic
379	#380	C₂×C₄	1	1	yes	characteristic
380	#380	C₂×C₄	1	1	yes	characteristic
381	#380	C₂×C₄	1	1	yes	characteristic
382	#380	C₂×C₄	1	1	yes	characteristic
383	#380	C₂×C₄	1	1	yes	characteristic
384	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
385	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
386	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
387	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
388	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
389	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
390	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
391	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
392	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
394	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
396	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
397	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
398	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
399	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
400	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
402	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
409	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
410	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
411	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
412	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
413	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
414	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
415	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
416	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
417	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
418	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
422	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
423	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
424	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
427	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
428	#376	C₂×C₄	1	1	yes	characteristic
429	#376	C₂×C₄	1	1	yes	characteristic
430	#376	C₂×C₄	1	1	yes	characteristic
431	#376	C₂×C₄	1	1	yes	characteristic
432	#376	C₂³	1	1	yes	characteristic
433	#376	C₂³	1	1	yes	characteristic
434	#376	C₂³	1	1	yes	characteristic
435	#376	C₂³	1	1	yes	characteristic
436	C₂×#95	C₂×C₄	1	1	yes	characteristic
437	C₂×#95	C₂×C₄	1	1	yes	characteristic
438	C₄³	C₂³	1	1	yes	characteristic
439	C₄³	C₂³	1	1	yes	characteristic
440	C₄³	C₂³	1	1	yes	characteristic
441	C₄³	C₂³	1	1	yes	characteristic
442	#336	C₂³	1	1	yes	characteristic
443	#336	C₂³	1	1	yes	characteristic
444	#336	C₂³	1	1	yes	characteristic
445	#336	C₂³	1	1	yes	characteristic
446	#336	C₂³	1	1	yes	characteristic
447	#336	C₂³	1	1	yes	characteristic
448	#336	C₂³	1	1	yes	characteristic
449	#336	C₂³	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	C₂×#41	—	2	2	no	—
491	C₂×#41	—	2	2	no	—
492	C₂×#41	—	2	2	no	—
493	C₂×#41	—	2	2	no	—
494	C₂×#41	—	4	1	no	—
495	C₂×#41	—	4	1	no	—
496	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
497	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
498	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
499	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
500	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
501	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
502	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
503	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
505	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
506	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
507	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂³×C₄	C₂⁴	1	1	yes	characteristic
511	C₂³×C₄	C₂⁴	1	1	yes	characteristic
512	C₂³×C₄	C₂⁴	1	1	yes	characteristic
513	C₂×M₁₆	—	2	2	no	—
514	C₂×M₁₆	—	2	2	no	—
515	C₂×M₁₆	—	2	2	no	—
516	C₂×M₁₆	—	2	2	no	—
517	C₂×M₁₆	—	4	1	no	—
518	C₂×M₁₆	—	4	1	no	—
519	C₂²×C₈	—	2	2	no	—
520	C₂²×C₈	—	2	2	no	—
521	C₂²×C₈	—	2	2	no	—
522	C₂²×C₈	—	2	2	no	—
523	C₂²×C₈	—	4	1	no	—
524	C₂²×C₈	—	4	1	no	—
525	C₂²×C₈	C₂⁴	1	1	yes	characteristic
526	C₂²×C₈	C₂⁴	1	1	yes	characteristic
527	C₂²×C₈	C₂⁴	1	1	yes	characteristic
528	C₂²×C₈	C₂⁴	1	1	yes	characteristic
529	C₂²×C₈	C₂⁴	1	1	yes	characteristic
530	C₂²×C₈	C₂⁴	1	1	yes	characteristic
531	C₂²×C₈	C₂⁴	1	1	yes	characteristic
532	C₂²×C₈	C₂⁴	1	1	yes	characteristic
533	C₂²×C₈	C₂⁴	1	1	yes	characteristic
534	C₂²×C₈	C₂⁴	1	1	yes	characteristic
535	C₂²×C₈	C₂⁴	1	1	yes	characteristic
536	C₂²×C₈	C₂⁴	1	1	yes	characteristic
537	C₂²×C₈	C₂⁴	1	1	yes	characteristic
538	C₂²×C₈	C₂⁴	1	1	yes	characteristic
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₂²×C₈	C₂⁴	1	1	yes	characteristic
541	C₄×Q₈	—	2	4	no	—
542	C₄×Q₈	—	2	4	no	—
543	C₄×D₄	—	2	4	no	—
544	C₄×D₄	—	2	4	no	—
545	C₄×D₄	—	2	4	no	—
546	C₄×D₄	—	2	4	no	—
547	C₄×D₄	—	2	4	no	—
548	C₄×D₄	—	2	4	no	—
549	#117	—	2	2	no	—
550	#117	—	2	2	no	—
551	#117	—	2	2	no	—
552	#117	—	2	2	no	—
553	#117	—	4	1	no	—
554	#117	—	4	1	no	—
555	#117	—	4	1	no	—
556	#117	—	4	1	no	—
557	#117	—	4	2	no	—
558	#117	—	4	2	no	—
559	#117	—	4	2	no	—
560	#117	—	4	2	no	—
561	#117	#41	1	4	yes	—
562	#117	#41	1	4	yes	—
563	C₂×C₄⋊C₄	—	4	2	no	—
564	C₂×C₄⋊C₄	—	4	2	no	—
565	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄²	—	2	2	no	—
618	C₂×C₄²	—	2	2	no	—
619	C₂×C₄²	—	2	2	no	—
620	C₂×C₄²	—	2	2	no	—
621	C₂×C₄²	—	2	2	no	—
622	C₂×C₄²	—	2	2	no	—
623	C₂×C₄²	—	2	2	no	—
624	C₂×C₄²	—	2	2	no	—
625	C₂×C₄²	—	2	2	no	—
626	C₂×C₄²	—	2	2	no	—
627	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄²	C₂⁴	1	1	yes	characteristic
654	C₂×C₄²	C₂⁴	1	1	yes	characteristic
655	C₂×C₄²	C₂⁴	1	1	yes	characteristic
656	C₂×C₄²	C₂⁴	1	1	yes	characteristic
657	C₂×C₄²	C₂⁴	1	1	yes	characteristic
658	C₂×C₄²	C₂⁴	1	1	yes	characteristic
659	C₂×C₄²	C₂⁴	1	1	yes	characteristic
660	C₂×C₄²	C₂⁴	1	1	yes	characteristic
661	C₂×C₄²	C₂⁴	1	1	yes	characteristic
662	C₂×C₄²	C₂⁴	1	1	yes	characteristic
663	C₂×C₄²	C₂⁴	1	1	yes	characteristic
664	C₂×C₄²	C₂⁴	1	1	yes	characteristic
665	C₄⋊C₈	—	2	2	no	—
666	C₄⋊C₈	—	2	2	no	—
667	C₄⋊C₈	—	2	2	no	—
668	C₄⋊C₈	—	2	2	no	—
669	C₄⋊C₈	—	2	2	no	—
670	C₄⋊C₈	—	2	2	no	—
671	C₄⋊C₈	—	2	2	no	—
672	C₄⋊C₈	—	2	2	no	—
673	C₄⋊C₈	—	2	2	no	—
674	C₄⋊C₈	—	2	2	no	—
675	C₄⋊C₈	—	2	2	no	—
676	C₄⋊C₈	—	2	2	no	—
677	C₄⋊C₈	—	4	1	no	—
678	C₄⋊C₈	—	4	1	no	—
679	C₄⋊C₈	—	4	1	no	—
680	C₄⋊C₈	—	4	1	no	—
681	C₄⋊C₈	—	4	1	no	—
682	C₄⋊C₈	—	4	1	no	—
683	C₄⋊C₈	—	4	1	no	—
684	C₄⋊C₈	—	4	1	no	—
685	C₂²⋊C₈	—	2	2	no	—
686	C₂²⋊C₈	—	2	2	no	—
687	C₂²⋊C₈	—	2	2	no	—
688	C₂²⋊C₈	—	2	2	no	—
689	C₂²⋊C₈	—	2	2	no	—
690	C₂²⋊C₈	—	2	2	no	—
691	C₂²⋊C₈	—	2	2	no	—
692	C₂²⋊C₈	—	2	2	no	—
693	C₂²⋊C₈	—	2	2	no	—
694	C₂²⋊C₈	—	2	2	no	—
695	C₂²⋊C₈	—	2	2	no	—
696	C₂²⋊C₈	—	2	2	no	—
697	C₂²⋊C₈	—	2	2	no	—
698	C₂²⋊C₈	—	2	2	no	—
699	C₂²⋊C₈	—	4	1	no	—
700	C₂²⋊C₈	—	4	1	no	—
701	C₂²⋊C₈	—	4	1	no	—
702	C₂²⋊C₈	—	4	1	no	—
703	C₂²⋊C₈	#41	1	4	yes	—
704	C₂²⋊C₈	#41	1	4	yes	—
705	#97	—	2	2	no	—
706	#97	—	2	2	no	—
707	#97	—	2	2	no	—
708	#97	—	2	2	no	—
709	#97	—	2	2	no	—
710	#97	—	2	2	no	—
711	#97	—	2	2	no	—
712	#97	—	2	2	no	—
713	#97	—	2	2	no	—
714	#97	—	2	2	no	—
715	#97	—	2	2	no	—
716	#97	—	2	2	no	—
717	#97	—	4	1	no	—
718	#97	—	4	1	no	—
719	#97	—	4	1	no	—
720	#97	—	4	1	no	—
721	C₄×C₈	—	2	2	no	—
722	C₄×C₈	—	2	2	no	—
723	C₄×C₈	—	2	2	no	—
724	C₄×C₈	—	2	2	no	—
725	C₄×C₈	—	2	2	no	—
726	C₄×C₈	—	2	2	no	—
727	C₄×C₈	—	2	2	no	—
728	C₄×C₈	—	2	2	no	—
729	C₄×C₈	—	4	1	no	—
730	C₄×C₈	—	4	1	no	—
731	C₄×C₈	—	4	1	no	—
732	C₄×C₈	—	4	1	no	—
733	#95	C₂²×C₄	1	1	yes	characteristic
734	#95	C₂²×C₄	1	1	yes	characteristic
735	#95	C₂²×C₄	1	1	yes	characteristic
736	#95	C₂²×C₄	1	1	yes	characteristic
737	#95	C₂²×C₄	1	1	yes	characteristic
738	#95	C₂²×C₄	1	1	yes	characteristic
739	#95	C₂²×C₄	1	1	yes	characteristic
740	#95	C₂²×C₄	1	1	yes	characteristic
741	#95	C₂²×C₄	1	1	yes	characteristic
742	#95	C₂²×C₄	1	1	yes	characteristic
743	#95	C₂²×C₄	1	1	yes	characteristic
744	#95	C₂²×C₄	1	1	yes	characteristic
745	#95	C₂²×C₄	1	1	yes	characteristic
746	#95	C₂²×C₄	1	1	yes	characteristic
747	#95	C₂²×C₄	1	1	yes	characteristic
748	#95	C₂²×C₄	1	1	yes	characteristic
749	#95	C₂²×C₄	1	1	yes	characteristic
750	#95	C₂²×C₄	1	1	yes	characteristic
751	#95	C₂²×C₄	1	1	yes	characteristic
752	#95	C₂²×C₄	1	1	yes	characteristic
753	#95	C₂²×C₄	1	1	yes	characteristic
754	#95	C₂²×C₄	1	1	yes	characteristic
755	#95	C₂²×C₄	1	1	yes	characteristic
756	#95	C₂²×C₄	1	1	yes	characteristic
757	#95	C₂²×C₄	1	1	yes	characteristic
758	#95	C₂²×C₄	1	1	yes	characteristic
759	#95	C₂²×C₄	1	1	yes	characteristic
760	#95	C₂²×C₄	1	1	yes	characteristic
761	#95	C₂²×C₄	1	1	yes	characteristic
762	#95	C₂²×C₄	1	1	yes	characteristic
763	#95	C₂²×C₄	1	1	yes	characteristic
764	#95	C₂²×C₄	1	1	yes	characteristic
765	#95	C₂²×C₄	1	1	yes	characteristic
766	#95	C₂²×C₄	1	1	yes	characteristic
767	#95	C₂²×C₄	1	1	yes	characteristic
768	#95	C₂²×C₄	1	1	yes	characteristic
769	#95	C₂²×C₄	1	1	yes	characteristic
770	#95	C₂²×C₄	1	1	yes	characteristic
771	#95	C₂²×C₄	1	1	yes	characteristic
772	#95	C₂²×C₄	1	1	yes	characteristic
773	#95	C₂²×C₄	1	1	yes	characteristic
774	#95	C₂²×C₄	1	1	yes	characteristic
775	#95	C₂²×C₄	1	1	yes	characteristic
776	#95	C₂²×C₄	1	1	yes	characteristic
777	#95	C₂²×C₄	1	1	yes	characteristic
778	#95	C₂²×C₄	1	1	yes	characteristic
779	#95	C₂²×C₄	1	1	yes	characteristic
780	#95	C₂²×C₄	1	1	yes	characteristic
781	C₂⁴	C₂³×C₄	1	1	yes	characteristic
782	C₂⁴	C₂³×C₄	1	1	yes	characteristic
783	C₂⁴	C₂³×C₄	1	1	yes	characteristic
784	#41	—	4	4	no	—
785	#41	—	4	4	no	—
786	#41	—	4	4	no	—
787	#41	—	4	4	no	—
788	C₂×Q₈	—	2	2	no	—
789	C₂×Q₈	—	2	2	no	—
790	C₂×Q₈	—	4	1	no	—
791	C₂×D₄	—	2	2	no	—
792	C₂×D₄	—	2	2	no	—
793	C₂×D₄	—	2	2	no	—
794	C₂×D₄	—	2	2	no	—
795	C₂×D₄	—	2	2	no	—
796	C₂×D₄	—	2	2	no	—
797	C₂×D₄	—	4	1	no	—
798	C₂×D₄	—	4	1	no	—
799	C₂×D₄	—	4	1	no	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	1	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	1	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	1	no	—
806	C₂²×C₄	—	2	1	no	—
807	C₂²×C₄	—	2	1	no	—
808	C₂²×C₄	—	2	2	no	—
809	C₂²×C₄	—	2	2	no	—
810	C₂²×C₄	—	2	2	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	1	no	—
821	C₂²×C₄	—	2	1	no	—
822	C₂²×C₄	—	2	1	no	—
823	C₂²×C₄	—	2	1	no	—
824	C₂²×C₄	—	2	1	no	—
825	C₂²×C₄	—	2	1	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	4	1	no	—
829	C₂²×C₄	—	4	1	no	—
830	C₂²×C₄	—	4	1	no	—
831	C₂²×C₄	—	4	1	no	—
832	C₂²×C₄	—	4	1	no	—
833	C₂²×C₄	—	4	1	no	—
834	C₂²×C₄	—	4	1	no	—
835	C₂²×C₄	—	4	1	no	—
836	C₂²×C₄	—	4	1	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
845	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
846	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
847	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
848	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
849	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
850	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
851	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
852	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
853	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
854	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
855	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
856	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
857	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
858	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
859	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
860	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
861	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
862	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
863	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
864	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
865	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
866	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
867	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
868	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
869	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
870	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
871	C₂²×C₄	C₂×#41	1	2	yes	—
872	C₂²×C₄	C₂×#41	1	2	yes	—
873	C₂²×C₄	C₂×#41	1	2	yes	—
874	C₂²×C₄	C₂×#41	1	2	yes	—
875	C₂²×C₄	C₂⁵	1	1	yes	characteristic
876	M₁₆	—	4	4	no	—
877	M₁₆	—	4	4	no	—
878	C₂×C₈	—	2	1	no	—
879	C₂×C₈	—	2	1	no	—
880	C₂×C₈	—	2	1	no	—
881	C₂×C₈	—	2	1	no	—
882	C₂×C₈	—	2	1	no	—
883	C₂×C₈	—	2	1	no	—
884	C₂×C₈	—	2	1	no	—
885	C₂×C₈	—	2	1	no	—
886	C₂×C₈	—	2	1	no	—
887	C₂×C₈	—	2	1	no	—
888	C₂×C₈	—	2	1	no	—
889	C₂×C₈	—	2	1	no	—
890	C₂×C₈	—	2	1	no	—
891	C₂×C₈	—	2	1	no	—
892	C₂×C₈	—	2	1	no	—
893	C₂×C₈	—	2	1	no	—
894	C₂×C₈	—	2	1	no	—
895	C₂×C₈	—	2	1	no	—
896	C₂×C₈	—	2	1	no	—
897	C₂×C₈	—	2	1	no	—
898	C₂×C₈	—	2	1	no	—
899	C₂×C₈	—	2	1	no	—
900	C₂×C₈	—	2	1	no	—
901	C₂×C₈	—	2	1	no	—
902	C₂×C₈	—	2	1	no	—
903	C₂×C₈	—	2	1	no	—
904	C₂×C₈	—	2	1	no	—
905	C₂×C₈	—	2	1	no	—
906	C₂×C₈	—	2	1	no	—
907	C₂×C₈	—	2	1	no	—
908	C₂×C₈	—	2	1	no	—
909	C₂×C₈	—	2	1	no	—
910	C₂×C₈	—	2	1	no	—
911	C₂×C₈	—	2	1	no	—
912	C₂×C₈	—	2	1	no	—
913	C₂×C₈	—	2	1	no	—
914	C₂×C₈	—	2	1	no	—
915	C₂×C₈	—	2	1	no	—
916	C₂×C₈	—	2	1	no	—
917	C₂×C₈	—	2	1	no	—
918	C₂×C₈	—	2	1	no	—
919	C₂×C₈	—	2	1	no	—
920	C₂×C₈	—	2	1	no	—
921	C₂×C₈	—	2	1	no	—
922	C₂×C₈	—	4	4	no	—
923	C₂×C₈	—	4	4	no	—
924	C₂×C₈	C₂×#41	1	2	yes	—
925	C₂×C₈	C₂×#41	1	2	yes	—
926	C₂×C₈	C₂×#41	1	2	yes	—
927	C₂×C₈	C₂×#41	1	2	yes	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	4	1	no	—
939	C₄⋊C₄	—	4	1	no	—
940	C₄⋊C₄	—	4	1	no	—
941	C₄⋊C₄	—	4	1	no	—
942	C₄⋊C₄	—	4	1	no	—
943	C₄⋊C₄	—	4	1	no	—
944	C₄⋊C₄	—	4	1	no	—
945	C₄⋊C₄	—	4	1	no	—
946	C₄⋊C₄	—	4	1	no	—
947	C₄⋊C₄	—	4	1	no	—
948	C₄⋊C₄	—	4	1	no	—
949	C₄⋊C₄	—	4	1	no	—
950	C₄⋊C₄	—	4	1	no	—
951	C₄⋊C₄	—	4	1	no	—
952	C₄⋊C₄	#117	1	4	yes	—
953	C₄⋊C₄	#117	1	4	yes	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	4	1	no	—
961	C₂²⋊C₄	—	4	1	no	—
962	C₂²⋊C₄	—	4	1	no	—
963	C₂²⋊C₄	—	4	1	no	—
964	C₂²⋊C₄	—	4	1	no	—
965	C₂²⋊C₄	—	4	1	no	—
966	C₂²⋊C₄	—	4	1	no	—
967	C₂²⋊C₄	—	4	1	no	—
968	C₂²⋊C₄	—	4	1	no	—
969	C₂²⋊C₄	—	4	1	no	—
970	C₂²⋊C₄	—	4	1	no	—
971	C₂²⋊C₄	—	4	1	no	—
972	C₂²⋊C₄	—	4	1	no	—
973	C₂²⋊C₄	—	4	1	no	—
974	C₂²⋊C₄	—	4	1	no	—
975	C₂²⋊C₄	—	4	1	no	—
976	C₂²⋊C₄	—	4	1	no	—
977	C₂²⋊C₄	—	4	1	no	—
978	C₂²⋊C₄	#117	1	4	yes	—
979	C₂²⋊C₄	#117	1	4	yes	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	2	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	2	no	—
986	C₄²	—	2	2	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	1	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	4	1	no	—
1013	C₄²	—	4	1	no	—
1014	C₄²	—	4	1	no	—
1015	C₄²	—	4	1	no	—
1016	C₄²	—	4	1	no	—
1017	C₄²	—	4	1	no	—
1018	C₄²	—	4	1	no	—
1019	C₄²	—	4	1	no	—
1020	C₄²	—	4	1	no	—
1021	C₄²	—	4	1	no	—
1022	C₄²	—	4	1	no	—
1023	C₄²	—	4	1	no	—
1024	C₄²	—	4	1	no	—
1025	C₄²	—	4	1	no	—
1026	C₄²	C₂×#41	1	2	yes	—
1027	C₄²	C₂×#41	1	2	yes	—
1028	C₄²	C₂×#41	1	2	yes	—
1029	C₄²	C₂×#41	1	2	yes	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	C₂×#117	1	2	yes	—
1050	C₂³	C₄×#41	1	2	yes	—
1051	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1052	Q₈	—	4	4	no	—
1053	D₄	—	4	4	no	—
1054	D₄	—	4	4	no	—
1055	D₄	—	4	4	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	4	4	no	—
1138	C₂×C₄	—	4	4	no	—
1139	C₂×C₄	—	4	4	no	—
1140	C₂×C₄	—	4	4	no	—
1141	C₂×C₄	—	4	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	1	no	—
1145	C₂×C₄	—	8	2	no	—
1146	C₂×C₄	—	8	2	no	—
1147	C₂×C₄	—	8	2	no	—
1148	C₂×C₄	—	8	2	no	—
1149	C₂×C₄	—	8	2	no	—
1150	C₂×C₄	—	8	2	no	—
1151	C₂×C₄	C₂×#117	1	2	yes	—
1152	C₂×C₄	C₂×#117	1	2	yes	—
1153	C₂×C₄	C₂×#117	1	2	yes	—
1154	C₂×C₄	C₂×#117	1	2	yes	—
1155	C₂×C₄	C₂×#117	1	2	yes	—
1156	C₂×C₄	C₄×#41	1	2	yes	—
1157	C₂×C₄	#568	1	2	yes	—
1158	C₂×C₄	#568	1	2	yes	—
1159	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1160	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1161	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1162	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1163	C₂×C₄	#585	1	1	yes	characteristic
1164	C₂×C₄	#585	1	1	yes	characteristic
1165	C₈	—	2	2	no	—
1166	C₈	—	2	2	no	—
1167	C₈	—	2	2	no	—
1168	C₈	—	2	2	no	—
1169	C₈	—	4	1	no	—
1170	C₈	—	4	1	no	—
1171	C₈	—	4	1	no	—
1172	C₈	—	4	1	no	—
1173	C₈	—	4	1	no	—
1174	C₈	—	4	1	no	—
1175	C₈	—	4	1	no	—
1176	C₈	—	4	1	no	—
1177	C₈	—	4	1	no	—
1178	C₈	—	4	1	no	—
1179	C₈	—	4	1	no	—
1180	C₈	—	4	1	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	2	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	2	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	1	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	1	no	—
1202	C₂²	C₂²×#117	1	1	yes	characteristic
1203	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1204	C₂²	#3428	1	1	yes	characteristic
1205	C₂²	C₂×#568	1	1	yes	characteristic
1206	C₂²	C₂×#568	1	1	yes	characteristic
1207	C₂²	#3573	1	1	yes	characteristic
1208	C₂²	#3573	1	1	yes	characteristic
1209	C₄	—	2	2	no	—
1210	C₄	—	2	2	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	2	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	2	2	no	—
1217	C₄	—	4	1	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	1	no	—
1220	C₄	—	4	1	no	—
1221	C₄	—	4	1	no	—
1222	C₄	—	4	1	no	—
1223	C₄	—	4	1	no	—
1224	C₄	—	4	1	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	1	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	—	4	1	no	—
1233	C₄	—	4	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	1	no	—
1236	C₄	#3475	1	1	yes	characteristic
1237	C₄	#3475	1	1	yes	characteristic
1238	C₄	#3475	1	1	yes	characteristic
1239	C₄	#3475	1	1	yes	characteristic
1240	C₂	—	4	2	no	—
1241	C₂	—	4	2	no	—
1242	C₂	—	8	1	no	—
1243	C₂	#34109	1	1	yes	characteristic
1244	C₂	#60128	1	1	yes	characteristic
1245	C₂	#60129	1	1	yes	characteristic
1246	C₂	#60216	1	1	yes	characteristic
1247	C₂	#60217	1	1	yes	characteristic
1248	C₂	#60302	1	1	yes	characteristic
1249	C₂	#60302	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂²×#41	C₂³
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. #22644	C₂	semidirect
4. #22638	C₂	semidirect
5. #22638	C₂	semidirect
6. #22628	C₂	semidirect
7. #22626	C₂	semidirect
8. #22603	C₂	semidirect
9. #22601	C₂	semidirect
10. #22596	C₂	semidirect
11. #22595	C₂	semidirect
12. #22592	C₂	semidirect
13. #22591	C₂	semidirect
18. #21437	C₂	semidirect
19. #21437	C₂	semidirect
20. #21435	C₂	semidirect
21. #21431	C₂	semidirect
22. #21357	C₂	semidirect
23. #21357	C₂	semidirect
24. #20781	C₂	semidirect
25. #20780	C₂	semidirect
27. #20478	C₂	semidirect
28. #20475	C₂	semidirect
29. #20470	C₂	semidirect
30. #20467	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34121	2
#22645	2
#22644	2
#22638	2
#22628	2
#22626	2
#22603	2
#22601	2
#22596	2
#22595	2
#22592	2
#22591	2
#22557	2
#22556	2
#21437	2
#21435	2
#21431	2
#21357	2
#20781	2
#20780	2
#20720	2
#20478	2
#20475	2
#20470	2
#20467	2
#20378	2