Subgroups — #6378085

Order 512.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1295 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2967	C₂	1	1	yes	maximal, characteristic
2	C₂×#2962	C₂	1	1	yes	maximal, characteristic, complemented
3	#52166	C₂	1	1	yes	maximal, characteristic
4	#22242	C₂	1	1	yes	maximal, characteristic, complemented
5	#22241	C₂	1	1	yes	maximal, characteristic, complemented
6	#22215	C₂	1	1	yes	maximal, characteristic, complemented
7	#22210	C₂	1	1	yes	maximal, characteristic, complemented
8	#22109	C₂	1	1	yes	maximal, characteristic, complemented
9	#22108	C₂	1	1	yes	maximal, characteristic, complemented
10	#22107	C₂	1	1	yes	maximal, characteristic, complemented
11	#22106	C₂	1	1	yes	maximal, characteristic, complemented
12	#22070	C₂	1	1	yes	maximal, characteristic, complemented
13	#22069	C₂	1	1	yes	maximal, characteristic, complemented
14	#22068	C₂	1	1	yes	maximal, characteristic, complemented
15	#22067	C₂	1	1	yes	maximal, characteristic, complemented
16	#21980	C₂	1	1	yes	maximal, characteristic, complemented
17	#21855	C₂	1	1	yes	maximal, characteristic
18	#21824	C₂	1	1	yes	maximal, characteristic, complemented
19	#21717	C₂	1	1	yes	maximal, characteristic, complemented
20	#21713	C₂	1	1	yes	maximal, characteristic, complemented
21	#21637	C₂	1	1	yes	maximal, characteristic, complemented
22	#21632	C₂	1	1	yes	maximal, characteristic, complemented
23	#21603	C₂	1	1	yes	maximal, characteristic, complemented
24	#21601	C₂	1	1	yes	maximal, characteristic, complemented
25	#21598	C₂	1	1	yes	maximal, characteristic, complemented
26	#21596	C₂	1	1	yes	maximal, characteristic, complemented
27	#21571	C₂	1	1	yes	maximal, characteristic, complemented
28	#21568	C₂	1	1	yes	maximal, characteristic, complemented
29	#21565	C₂	1	1	yes	maximal, characteristic, complemented
30	#21562	C₂	1	1	yes	maximal, characteristic, complemented
31	#20478	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#533	C₂²	1	1	yes	characteristic
33	C₂×#529	C₂²	1	1	yes	characteristic
34	#2967	—	2	8	no	—
35	#2962	—	2	8	no	—
36	C₂×#446	C₂²	1	1	yes	characteristic
37	C₂×#446	C₂²	1	1	yes	characteristic
38	C₂×#446	C₂²	1	1	yes	characteristic
39	C₂×#446	C₂²	1	1	yes	characteristic
40	C₂×#446	C₂²	1	1	yes	characteristic
41	C₂×#446	C₂²	1	1	yes	characteristic
42	C₂×#446	C₂²	1	1	yes	characteristic
43	C₂×#446	C₂²	1	1	yes	characteristic
44	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
46	C₂×#436	C₂²	1	1	yes	characteristic
47	C₂×#436	C₂²	1	1	yes	characteristic
48	C₂×#435	C₂²	1	1	yes	characteristic
49	C₂×#435	C₂²	1	1	yes	characteristic
50	C₂×#435	C₂²	1	1	yes	characteristic
51	C₂×#435	C₂²	1	1	yes	characteristic
52	C₂×#433	C₂²	1	1	yes	characteristic
53	C₂×#433	C₂²	1	1	yes	characteristic
54	C₂×#433	C₂²	1	1	yes	characteristic
55	C₂×#432	C₂²	1	1	yes	characteristic
56	C₂×#424	C₂²	1	1	yes	characteristic
57	C₂×#424	C₂²	1	1	yes	characteristic
58	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic
59	C₂×#405	C₂²	1	1	yes	characteristic
60	C₂×#405	C₂²	1	1	yes	characteristic
61	C₂×#405	C₂²	1	1	yes	characteristic
62	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
63	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
64	#2721	C₄	1	1	yes	characteristic
65	#2719	C₄	1	1	yes	characteristic
66	#2716	C₄	1	1	yes	characteristic
67	#2713	C₄	1	1	yes	characteristic
68	#2700	C₄	1	1	yes	characteristic
69	#2698	C₄	1	1	yes	characteristic
70	#2694	C₄	1	1	yes	characteristic
71	#2690	C₄	1	1	yes	characteristic
72	#2689	C₄	1	1	yes	characteristic
73	#2687	C₄	1	1	yes	characteristic
74	#2681	C₄	1	1	yes	characteristic
75	#2680	C₄	1	1	yes	characteristic
76	#2677	C₄	1	1	yes	characteristic
77	#2674	C₄	1	1	yes	characteristic
78	#2674	C₄	1	1	yes	characteristic
79	#2672	C₄	1	1	yes	characteristic
80	#2399	C₂²	1	1	yes	characteristic
81	#2398	C₂²	1	1	yes	characteristic
82	#2396	C₂²	1	1	yes	characteristic
83	#2396	C₂²	1	1	yes	characteristic
84	#2395	C₂²	1	1	yes	characteristic
85	#2395	C₂²	1	1	yes	characteristic
86	C₄×C₄⋊Q₈	C₂²	1	1	yes	characteristic
87	C₄×#124	C₂²	1	1	yes	characteristic
88	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
89	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
90	C₄×#123	C₂²	1	1	yes	characteristic
91	C₄×#123	C₂²	1	1	yes	characteristic
92	#2298	C₂²	1	1	yes	characteristic
93	#1985	C₂²	1	1	yes	characteristic
94	#1985	C₂²	1	1	yes	characteristic
95	#1985	C₂²	1	1	yes	characteristic
96	#1985	C₂²	1	1	yes	characteristic
97	#1985	C₂²	1	1	yes	characteristic
98	#1984	C₂²	1	1	yes	characteristic
99	#1984	C₂²	1	1	yes	characteristic
100	#1984	C₂²	1	1	yes	characteristic
101	#1984	C₂²	1	1	yes	characteristic
102	#1984	C₂²	1	1	yes	characteristic
103	#1955	C₂²	1	1	yes	characteristic
104	#1954	C₂²	1	1	yes	characteristic
105	#1940	C₂²	1	1	yes	characteristic
106	#1940	C₂²	1	1	yes	characteristic
107	#1940	C₂²	1	1	yes	characteristic
108	#1940	C₂²	1	1	yes	characteristic
109	#1940	C₂²	1	1	yes	characteristic
110	#1940	C₂²	1	1	yes	characteristic
111	#1939	C₂²	1	1	yes	characteristic
112	#1939	C₂²	1	1	yes	characteristic
113	#1939	C₂²	1	1	yes	characteristic
114	#1939	C₂²	1	1	yes	characteristic
115	#1939	C₂²	1	1	yes	characteristic
116	#1939	C₂²	1	1	yes	characteristic
117	#1924	C₂²	1	1	yes	characteristic
118	#1924	C₂²	1	1	yes	characteristic
119	#1924	C₂²	1	1	yes	characteristic
120	#1924	C₂²	1	1	yes	characteristic
121	#1924	C₂²	1	1	yes	characteristic
122	#1924	C₂²	1	1	yes	characteristic
123	#1924	C₂²	1	1	yes	characteristic
124	#1924	C₂²	1	1	yes	characteristic
125	#1923	C₂²	1	1	yes	characteristic
126	#1923	C₂²	1	1	yes	characteristic
127	#1923	C₂²	1	1	yes	characteristic
128	#1923	C₂²	1	1	yes	characteristic
129	#1923	C₂²	1	1	yes	characteristic
130	#1923	C₂²	1	1	yes	characteristic
131	#1923	C₂²	1	1	yes	characteristic
132	#1923	C₂²	1	1	yes	characteristic
133	#1917	C₂²	1	1	yes	characteristic
134	#1917	C₂²	1	1	yes	characteristic
135	#1917	C₂²	1	1	yes	characteristic
136	#1917	C₂²	1	1	yes	characteristic
137	#1917	C₂²	1	1	yes	characteristic
138	#1917	C₂²	1	1	yes	characteristic
139	#1917	C₂²	1	1	yes	characteristic
140	#1917	C₂²	1	1	yes	characteristic
141	#1917	C₂²	1	1	yes	characteristic
142	#1917	C₂²	1	1	yes	characteristic
143	#1917	C₂²	1	1	yes	characteristic
144	#1917	C₂²	1	1	yes	characteristic
145	#1916	C₂²	1	1	yes	characteristic
146	#1916	C₂²	1	1	yes	characteristic
147	#1916	C₂²	1	1	yes	characteristic
148	#1916	C₂²	1	1	yes	characteristic
149	#1870	C₂²	1	1	yes	characteristic
150	#1870	C₂²	1	1	yes	characteristic
151	#1869	C₂²	1	1	yes	characteristic
152	#1869	C₂²	1	1	yes	characteristic
153	#1851	C₂²	1	1	yes	characteristic
154	#1851	C₂²	1	1	yes	characteristic
155	#1851	C₂²	1	1	yes	characteristic
156	#1851	C₂²	1	1	yes	characteristic
157	#1851	C₂²	1	1	yes	characteristic
158	#1851	C₂²	1	1	yes	characteristic
159	#1851	C₂²	1	1	yes	characteristic
160	#1851	C₂²	1	1	yes	characteristic
161	#1851	C₂²	1	1	yes	characteristic
162	#1851	C₂²	1	1	yes	characteristic
163	#1850	C₂²	1	1	yes	characteristic
164	#1850	C₂²	1	1	yes	characteristic
165	#1843	C₂²	1	1	yes	characteristic
166	#1842	C₂²	1	1	yes	characteristic
167	#1832	C₂²	1	1	yes	characteristic
168	#1831	C₂²	1	1	yes	characteristic
169	#1818	C₂²	1	1	yes	characteristic
170	#1818	C₂²	1	1	yes	characteristic
171	#1817	C₂²	1	1	yes	characteristic
172	#1817	C₂²	1	1	yes	characteristic
173	#1798	C₂²	1	1	yes	characteristic
174	#1798	C₂²	1	1	yes	characteristic
175	#1797	C₂²	1	1	yes	characteristic
176	#1797	C₂²	1	1	yes	characteristic
177	#1771	C₂²	1	1	yes	characteristic
178	#1771	C₂²	1	1	yes	characteristic
179	#1771	C₂²	1	1	yes	characteristic
180	#1771	C₂²	1	1	yes	characteristic
181	#1771	C₂²	1	1	yes	characteristic
182	#1771	C₂²	1	1	yes	characteristic
183	#1770	C₂²	1	1	yes	characteristic
184	#1770	C₂²	1	1	yes	characteristic
185	#1770	C₂²	1	1	yes	characteristic
186	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
187	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
188	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
189	#1753	C₂²	1	1	yes	characteristic
190	#1753	C₂²	1	1	yes	characteristic
191	#1753	C₂²	1	1	yes	characteristic
192	#1753	C₂²	1	1	yes	characteristic
193	#1753	C₂²	1	1	yes	characteristic
194	#1753	C₂²	1	1	yes	characteristic
195	#1752	C₂²	1	1	yes	characteristic
196	#1752	C₂²	1	1	yes	characteristic
197	#1752	C₂²	1	1	yes	characteristic
198	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
199	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
200	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
201	#1746	C₂²	1	1	yes	characteristic
202	#1744	C₂²	1	1	yes	characteristic
203	#1726	C₂²	1	1	yes	characteristic
204	C₄×#97	C₂²	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂²×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×M₁₆	C₂³	1	1	yes	characteristic
210	C₂³×C₈	C₂³	1	1	yes	characteristic
211	C₂³×C₈	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	#533	—	2	4	no	—
214	#533	—	2	4	no	—
215	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
216	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	#529	—	2	4	no	—
219	#529	—	2	4	no	—
220	C₂×#126	C₂×C₄	1	1	yes	characteristic
221	C₂×#126	C₂×C₄	1	1	yes	characteristic
222	C₂×#125	C₂×C₄	1	1	yes	characteristic
223	C₂×#125	C₂×C₄	1	1	yes	characteristic
224	C₂×#125	C₂×C₄	1	1	yes	characteristic
225	C₂×#124	C₂×C₄	1	1	yes	characteristic
226	C₂×#124	C₂×C₄	1	1	yes	characteristic
227	C₂×#123	C₂×C₄	1	1	yes	characteristic
228	C₂×#123	C₂×C₄	1	1	yes	characteristic
229	C₂×#123	C₂×C₄	1	1	yes	characteristic
230	C₂×#123	C₂×C₄	1	1	yes	characteristic
231	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
232	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
233	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
234	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
236	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
237	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
238	C₂×#121	C₂×C₄	1	1	yes	characteristic
239	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
240	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
241	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
247	C₂×#117	C₂³	1	1	yes	characteristic
248	C₂×#117	C₂³	1	1	yes	characteristic
249	C₂×#117	C₂³	1	1	yes	characteristic
250	C₂²×C₄²	C₂³	1	1	yes	characteristic
251	C₂²×C₄²	C₂³	1	1	yes	characteristic
252	#446	—	2	4	no	—
253	#446	—	2	4	no	—
254	#446	—	2	4	no	—
255	#446	—	2	4	no	—
256	#446	—	2	4	no	—
257	#446	—	2	4	no	—
258	#446	—	2	4	no	—
259	#446	—	2	4	no	—
260	C₈×Q₈	—	2	4	no	—
261	C₈×Q₈	—	2	4	no	—
262	#436	—	2	4	no	—
263	#436	—	2	4	no	—
264	#435	—	2	4	no	—
265	#435	—	2	4	no	—
266	#435	—	2	4	no	—
267	#435	—	2	4	no	—
268	#433	—	2	4	no	—
269	#433	—	2	4	no	—
270	#433	—	2	4	no	—
271	#432	—	2	4	no	—
272	#424	—	2	4	no	—
273	#424	—	2	4	no	—
274	C₂×C₄⋊C₈	—	2	4	no	—
275	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₈	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
319	#405	—	2	4	no	—
320	#405	—	2	4	no	—
321	#405	D₄	1	8	yes	—
322	C₄×M₁₆	—	2	4	no	—
323	C₄×M₁₆	—	2	4	no	—
324	C₂×#97	C₂³	1	1	yes	characteristic
325	C₂×#97	C₂³	1	1	yes	characteristic
326	C₂×#97	C₂³	1	1	yes	characteristic
327	C₂×#97	C₂³	1	1	yes	characteristic
328	C₂×#97	C₂³	1	1	yes	characteristic
329	C₂×#97	C₂³	1	1	yes	characteristic
330	C₂×#97	C₂³	1	1	yes	characteristic
331	C₂×#97	C₂³	1	1	yes	characteristic
332	C₂×#97	C₂³	1	1	yes	characteristic
333	C₂×#97	C₂³	1	1	yes	characteristic
334	C₂×#97	C₂³	1	1	yes	characteristic
335	C₂×#97	C₂³	1	1	yes	characteristic
336	C₂×#97	C₂³	1	1	yes	characteristic
337	C₂×#97	C₂³	1	1	yes	characteristic
338	C₂×#97	C₂³	1	1	yes	characteristic
339	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
340	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
341	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
342	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
343	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
344	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
345	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
346	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
347	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
348	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
349	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
350	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	#400	C₂×C₄	1	1	yes	characteristic
353	#400	C₂×C₄	1	1	yes	characteristic
354	#400	C₂×C₄	1	1	yes	characteristic
355	#400	C₂×C₄	1	1	yes	characteristic
356	#400	C₂×C₄	1	1	yes	characteristic
357	#400	C₂×C₄	1	1	yes	characteristic
358	#399	C₂×C₄	1	1	yes	characteristic
359	#399	C₂×C₄	1	1	yes	characteristic
360	#399	C₂×C₄	1	1	yes	characteristic
361	#399	C₂×C₄	1	1	yes	characteristic
362	#398	C₂×C₄	1	1	yes	characteristic
363	#398	C₂×C₄	1	1	yes	characteristic
364	#398	C₂×C₄	1	1	yes	characteristic
365	#398	C₂×C₄	1	1	yes	characteristic
366	#398	C₂×C₄	1	1	yes	characteristic
367	#398	C₂×C₄	1	1	yes	characteristic
368	#398	C₂×C₄	1	1	yes	characteristic
369	#398	C₂×C₄	1	1	yes	characteristic
370	#398	C₂×C₄	1	1	yes	characteristic
371	#398	C₂×C₄	1	1	yes	characteristic
372	#397	C₂×C₄	1	1	yes	characteristic
373	#397	C₂×C₄	1	1	yes	characteristic
374	#397	C₂×C₄	1	1	yes	characteristic
375	#397	C₂×C₄	1	1	yes	characteristic
376	#397	C₂×C₄	1	1	yes	characteristic
377	#397	C₂×C₄	1	1	yes	characteristic
378	#397	C₂×C₄	1	1	yes	characteristic
379	#397	C₂×C₄	1	1	yes	characteristic
380	#396	C₂×C₄	1	1	yes	characteristic
381	#396	C₂×C₄	1	1	yes	characteristic
382	#396	C₂×C₄	1	1	yes	characteristic
383	#396	C₂×C₄	1	1	yes	characteristic
384	#395	C₂×C₄	1	1	yes	characteristic
385	#395	C₂×C₄	1	1	yes	characteristic
386	#395	C₂×C₄	1	1	yes	characteristic
387	#395	C₂×C₄	1	1	yes	characteristic
388	#395	C₂×C₄	1	1	yes	characteristic
389	#395	C₂×C₄	1	1	yes	characteristic
390	#394	C₂×C₄	1	1	yes	characteristic
391	#394	C₂×C₄	1	1	yes	characteristic
392	#394	C₂×C₄	1	1	yes	characteristic
393	#394	C₂×C₄	1	1	yes	characteristic
394	#394	C₂×C₄	1	1	yes	characteristic
395	#394	C₂×C₄	1	1	yes	characteristic
396	#393	C₂×C₄	1	1	yes	characteristic
397	#393	C₂×C₄	1	1	yes	characteristic
398	#393	C₂×C₄	1	1	yes	characteristic
399	#393	C₂×C₄	1	1	yes	characteristic
400	#391	C₂×C₄	1	1	yes	characteristic
401	#391	C₂×C₄	1	1	yes	characteristic
402	#391	C₂×C₄	1	1	yes	characteristic
403	#391	C₂×C₄	1	1	yes	characteristic
404	#391	C₂×C₄	1	1	yes	characteristic
405	#390	C₂×C₄	1	1	yes	characteristic
406	#389	C₂×C₄	1	1	yes	characteristic
407	#389	C₂×C₄	1	1	yes	characteristic
408	#389	C₂×C₄	1	1	yes	characteristic
409	#389	C₂×C₄	1	1	yes	characteristic
410	#389	C₂×C₄	1	1	yes	characteristic
411	#389	C₂×C₄	1	1	yes	characteristic
412	#388	C₂×C₄	1	1	yes	characteristic
413	#388	C₂×C₄	1	1	yes	characteristic
414	#388	C₂×C₄	1	1	yes	characteristic
415	#388	C₂×C₄	1	1	yes	characteristic
416	#388	C₂×C₄	1	1	yes	characteristic
417	#388	C₂×C₄	1	1	yes	characteristic
418	#388	C₂×C₄	1	1	yes	characteristic
419	#388	C₂×C₄	1	1	yes	characteristic
420	#388	C₂×C₄	1	1	yes	characteristic
421	#388	C₂×C₄	1	1	yes	characteristic
422	#388	C₂×C₄	1	1	yes	characteristic
423	#388	C₂×C₄	1	1	yes	characteristic
424	#387	C₂×C₄	1	1	yes	characteristic
425	#387	C₂×C₄	1	1	yes	characteristic
426	#387	C₂×C₄	1	1	yes	characteristic
427	#387	C₂×C₄	1	1	yes	characteristic
428	#387	C₂×C₄	1	1	yes	characteristic
429	#387	C₂×C₄	1	1	yes	characteristic
430	#387	C₂×C₄	1	1	yes	characteristic
431	#387	C₂×C₄	1	1	yes	characteristic
432	#387	C₂×C₄	1	1	yes	characteristic
433	#387	C₂×C₄	1	1	yes	characteristic
434	#387	C₂×C₄	1	1	yes	characteristic
435	#387	C₂×C₄	1	1	yes	characteristic
436	#386	C₂×C₄	1	1	yes	characteristic
437	#386	C₂×C₄	1	1	yes	characteristic
438	#385	C₂×C₄	1	1	yes	characteristic
439	#385	C₂×C₄	1	1	yes	characteristic
440	#385	C₂×C₄	1	1	yes	characteristic
441	#385	C₂×C₄	1	1	yes	characteristic
442	#385	C₂×C₄	1	1	yes	characteristic
443	#385	C₂×C₄	1	1	yes	characteristic
444	#384	C₂×C₄	1	1	yes	characteristic
445	#382	C₂×C₄	1	1	yes	characteristic
446	#381	C₂×C₄	1	1	yes	characteristic
447	#381	C₂×C₄	1	1	yes	characteristic
448	#380	C₂×C₄	1	1	yes	characteristic
449	#380	C₂×C₄	1	1	yes	characteristic
450	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
452	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
453	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
458	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
460	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
461	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
462	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
463	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
466	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
467	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
468	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	#376	C₂³	1	1	yes	characteristic
471	C₄³	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	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	#336	C₂³	1	1	yes	characteristic
500	#336	C₂³	1	1	yes	characteristic
501	#336	C₂³	1	1	yes	characteristic
502	#336	C₂³	1	1	yes	characteristic
503	#336	C₂³	1	1	yes	characteristic
504	#336	C₂³	1	1	yes	characteristic
505	#336	C₂³	1	1	yes	characteristic
506	#336	C₂³	1	1	yes	characteristic
507	#336	C₂³	1	1	yes	characteristic
508	#336	C₂³	1	1	yes	characteristic
509	#336	C₂³	1	1	yes	characteristic
510	#336	C₂³	1	1	yes	characteristic
511	#336	C₂³	1	1	yes	characteristic
512	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
515	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
516	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
517	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
518	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
519	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
520	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
521	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
522	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
523	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
524	C₂³×C₄	C₂⁴	1	1	yes	characteristic
525	C₂³×C₄	C₂⁴	1	1	yes	characteristic
526	C₂³×C₄	C₂⁴	1	1	yes	characteristic
527	C₂×M₁₆	—	2	2	no	—
528	C₂×M₁₆	—	2	2	no	—
529	C₂×M₁₆	—	2	2	no	—
530	C₂×M₁₆	—	2	2	no	—
531	C₂×M₁₆	—	2	2	no	—
532	C₂×M₁₆	—	2	2	no	—
533	C₂×M₁₆	—	2	2	no	—
534	C₂×M₁₆	—	2	2	no	—
535	C₂×M₁₆	—	4	1	no	—
536	C₂×M₁₆	—	4	1	no	—
537	C₂×M₁₆	—	4	1	no	—
538	C₂×M₁₆	—	4	1	no	—
539	C₂×M₁₆	—	4	1	no	—
540	C₂×M₁₆	—	4	1	no	—
541	C₂×M₁₆	C₂×D₄	1	4	yes	—
542	C₂²×C₈	—	2	2	no	—
543	C₂²×C₈	—	2	2	no	—
544	C₂²×C₈	—	2	2	no	—
545	C₂²×C₈	—	2	2	no	—
546	C₂²×C₈	—	4	1	no	—
547	C₂²×C₈	—	4	1	no	—
548	C₂²×C₈	—	4	1	no	—
549	C₂²×C₈	—	4	1	no	—
550	C₂²×C₈	C₂×D₄	1	4	yes	—
551	C₂²×C₈	C₂⁴	1	1	yes	characteristic
552	C₂²×C₈	C₂⁴	1	1	yes	characteristic
553	C₂²×C₈	C₂⁴	1	1	yes	characteristic
554	C₂²×C₈	C₂⁴	1	1	yes	characteristic
555	C₂²×C₈	C₂⁴	1	1	yes	characteristic
556	C₂²×C₈	C₂⁴	1	1	yes	characteristic
557	C₂²×C₈	C₂⁴	1	1	yes	characteristic
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₂²×C₈	C₂⁴	1	1	yes	characteristic
560	C₂²×C₈	C₂⁴	1	1	yes	characteristic
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	1	yes	characteristic
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₄⋊Q₈	—	2	4	no	—
568	C₄⋊Q₈	—	2	4	no	—
569	C₄⋊Q₈	—	4	2	no	—
570	#126	—	2	4	no	—
571	#126	—	2	4	no	—
572	#125	—	2	4	no	—
573	#125	—	2	4	no	—
574	#125	—	2	4	no	—
575	#124	—	2	4	no	—
576	#124	—	4	2	no	—
577	#123	—	2	4	no	—
578	#123	—	2	4	no	—
579	#123	—	4	2	no	—
580	#123	—	4	2	no	—
581	C₂²⋊Q₈	—	2	4	no	—
582	C₂²⋊Q₈	—	2	4	no	—
583	C₂²⋊Q₈	—	2	4	no	—
584	C₂²⋊Q₈	—	2	4	no	—
585	C₂²⋊Q₈	—	2	4	no	—
586	C₂²⋊Q₈	—	4	2	no	—
587	C₂²⋊Q₈	—	4	2	no	—
588	#121	—	2	4	no	—
589	C₄×Q₈	—	2	2	no	—
590	C₄×Q₈	—	2	2	no	—
591	C₄×Q₈	—	2	2	no	—
592	C₄×Q₈	—	2	2	no	—
593	C₄×Q₈	—	2	2	no	—
594	C₄×Q₈	—	2	2	no	—
595	C₄×Q₈	—	2	2	no	—
596	C₄×Q₈	—	2	2	no	—
597	C₄×Q₈	—	2	2	no	—
598	C₄×Q₈	—	2	2	no	—
599	C₄×D₄	—	2	2	no	—
600	C₄×D₄	—	2	2	no	—
601	C₄×D₄	—	2	2	no	—
602	C₄×D₄	—	2	2	no	—
603	C₄×D₄	—	2	2	no	—
604	C₄×D₄	—	2	2	no	—
605	#117	—	2	2	no	—
606	#117	—	2	2	no	—
607	#117	—	2	2	no	—
608	#117	—	2	2	no	—
609	#117	C₂×D₄	1	4	yes	—
610	#117	#41	1	4	yes	—
611	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₄²	—	2	2	no	—
688	C₂×C₄²	—	2	2	no	—
689	C₂×C₄²	—	2	2	no	—
690	C₂×C₄²	—	2	2	no	—
691	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₄²	C₂⁴	1	1	yes	characteristic
700	C₂×C₄²	C₂⁴	1	1	yes	characteristic
701	C₂×C₄²	C₂⁴	1	1	yes	characteristic
702	C₂×C₄²	C₂⁴	1	1	yes	characteristic
703	C₂×C₄²	C₂⁴	1	1	yes	characteristic
704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
705	C₂×C₄²	C₂⁴	1	1	yes	characteristic
706	C₂×C₄²	C₂⁴	1	1	yes	characteristic
707	C₂×C₄²	C₂⁴	1	1	yes	characteristic
708	C₂×C₄²	C₂⁴	1	1	yes	characteristic
709	C₂×C₄²	C₂⁴	1	1	yes	characteristic
710	C₂×C₄²	C₂⁴	1	1	yes	characteristic
711	C₄⋊C₈	—	2	2	no	—
712	C₄⋊C₈	—	2	2	no	—
713	C₄⋊C₈	—	2	2	no	—
714	C₄⋊C₈	—	2	2	no	—
715	C₄⋊C₈	—	2	2	no	—
716	C₄⋊C₈	—	2	2	no	—
717	C₄⋊C₈	—	2	2	no	—
718	C₄⋊C₈	—	2	2	no	—
719	C₄⋊C₈	—	2	2	no	—
720	C₄⋊C₈	—	2	2	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	—	2	2	no	—
730	C₄⋊C₈	—	2	2	no	—
731	C₄⋊C₈	—	4	1	no	—
732	C₄⋊C₈	—	4	1	no	—
733	C₄⋊C₈	—	4	1	no	—
734	C₄⋊C₈	—	4	1	no	—
735	C₄⋊C₈	—	4	1	no	—
736	C₄⋊C₈	—	4	1	no	—
737	C₄⋊C₈	—	4	1	no	—
738	C₄⋊C₈	—	4	1	no	—
739	C₂²⋊C₈	—	2	2	no	—
740	C₂²⋊C₈	—	2	2	no	—
741	C₂²⋊C₈	—	2	2	no	—
742	C₂²⋊C₈	—	2	2	no	—
743	C₂²⋊C₈	—	2	2	no	—
744	C₂²⋊C₈	—	2	2	no	—
745	C₂²⋊C₈	—	2	2	no	—
746	C₂²⋊C₈	—	2	2	no	—
747	C₂²⋊C₈	—	4	1	no	—
748	C₂²⋊C₈	—	4	1	no	—
749	C₂²⋊C₈	—	4	1	no	—
750	C₂²⋊C₈	—	4	1	no	—
751	C₂²⋊C₈	—	4	1	no	—
752	C₂²⋊C₈	—	4	1	no	—
753	C₂²⋊C₈	—	4	1	no	—
754	C₂²⋊C₈	—	4	1	no	—
755	#97	—	2	2	no	—
756	#97	—	2	2	no	—
757	#97	—	2	2	no	—
758	#97	—	2	2	no	—
759	#97	—	2	2	no	—
760	#97	—	2	2	no	—
761	#97	—	2	2	no	—
762	#97	—	2	2	no	—
763	#97	—	2	2	no	—
764	#97	—	2	2	no	—
765	#97	—	2	2	no	—
766	#97	—	4	1	no	—
767	#97	—	4	1	no	—
768	#97	C₂×D₄	1	4	yes	—
769	#97	C₂×D₄	1	4	yes	—
770	C₄×C₈	—	2	2	no	—
771	C₄×C₈	—	2	2	no	—
772	C₄×C₈	—	2	2	no	—
773	C₄×C₈	—	2	2	no	—
774	C₄×C₈	—	2	2	no	—
775	C₄×C₈	—	2	2	no	—
776	C₄×C₈	—	2	2	no	—
777	C₄×C₈	—	2	2	no	—
778	C₄×C₈	—	2	2	no	—
779	C₄×C₈	—	4	1	no	—
780	C₄×C₈	—	4	1	no	—
781	C₄×C₈	C₂×D₄	1	4	yes	—
782	C₄×C₈	C₂×D₄	1	4	yes	—
783	#95	C₂²×C₄	1	1	yes	characteristic
784	#95	C₂²×C₄	1	1	yes	characteristic
785	#95	C₂²×C₄	1	1	yes	characteristic
786	#95	C₂²×C₄	1	1	yes	characteristic
787	#95	C₂²×C₄	1	1	yes	characteristic
788	#95	C₂²×C₄	1	1	yes	characteristic
789	#95	C₂²×C₄	1	1	yes	characteristic
790	#95	C₂²×C₄	1	1	yes	characteristic
791	#95	C₂²×C₄	1	1	yes	characteristic
792	#95	C₂²×C₄	1	1	yes	characteristic
793	#95	C₂²×C₄	1	1	yes	characteristic
794	#95	C₂²×C₄	1	1	yes	characteristic
795	#95	C₂²×C₄	1	1	yes	characteristic
796	#95	C₂²×C₄	1	1	yes	characteristic
797	#95	C₂²×C₄	1	1	yes	characteristic
798	#95	C₂²×C₄	1	1	yes	characteristic
799	#95	C₂²×C₄	1	1	yes	characteristic
800	#95	C₂²×C₄	1	1	yes	characteristic
801	#95	C₂²×C₄	1	1	yes	characteristic
802	#95	C₂²×C₄	1	1	yes	characteristic
803	#95	C₂²×C₄	1	1	yes	characteristic
804	#95	C₂²×C₄	1	1	yes	characteristic
805	#95	C₂²×C₄	1	1	yes	characteristic
806	#95	C₂²×C₄	1	1	yes	characteristic
807	#95	C₂²×C₄	1	1	yes	characteristic
808	#95	C₂²×C₄	1	1	yes	characteristic
809	#95	C₂²×C₄	1	1	yes	characteristic
810	#95	C₂²×C₄	1	1	yes	characteristic
811	#95	C₂²×C₄	1	1	yes	characteristic
812	#95	C₂²×C₄	1	1	yes	characteristic
813	#95	C₂²×C₄	1	1	yes	characteristic
814	#95	C₂²×C₄	1	1	yes	characteristic
815	#95	C₂²×C₄	1	1	yes	characteristic
816	#95	C₂²×C₄	1	1	yes	characteristic
817	#95	C₂²×C₄	1	1	yes	characteristic
818	#95	C₂²×C₄	1	1	yes	characteristic
819	#95	C₂²×C₄	1	1	yes	characteristic
820	#95	C₂²×C₄	1	1	yes	characteristic
821	#95	C₂²×C₄	1	1	yes	characteristic
822	#95	C₂²×C₄	1	1	yes	characteristic
823	#95	C₂²×C₄	1	1	yes	characteristic
824	#95	C₂²×C₄	1	1	yes	characteristic
825	#95	C₂²×C₄	1	1	yes	characteristic
826	#95	C₂²×C₄	1	1	yes	characteristic
827	C₂⁴	C₂³×C₄	1	1	yes	characteristic
828	C₂⁴	C₂³×C₄	1	1	yes	characteristic
829	C₂⁴	C₂³×C₄	1	1	yes	characteristic
830	C₂×Q₈	—	2	2	no	—
831	C₂×Q₈	—	2	2	no	—
832	C₂×Q₈	—	2	2	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	2	2	no	—
835	C₂×Q₈	—	2	2	no	—
836	C₂×Q₈	—	2	2	no	—
837	C₂×Q₈	—	4	1	no	—
838	C₂×Q₈	—	4	1	no	—
839	C₂×Q₈	—	4	1	no	—
840	C₂×Q₈	—	4	1	no	—
841	C₂×Q₈	—	4	1	no	—
842	C₂×Q₈	—	4	1	no	—
843	C₂×Q₈	—	4	1	no	—
844	C₂×Q₈	—	4	1	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	1	no	—
850	C₂×D₄	—	4	1	no	—
851	C₂×D₄	—	4	1	no	—
852	C₂×D₄	—	4	1	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	1	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	1	no	—
862	C₂²×C₄	—	2	1	no	—
863	C₂²×C₄	—	2	1	no	—
864	C₂²×C₄	—	2	1	no	—
865	C₂²×C₄	—	2	1	no	—
866	C₂²×C₄	—	2	1	no	—
867	C₂²×C₄	—	2	1	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	2	1	no	—
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	—	2	2	no	—
875	C₂²×C₄	—	4	1	no	—
876	C₂²×C₄	—	4	1	no	—
877	C₂²×C₄	—	4	1	no	—
878	C₂²×C₄	—	4	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	—	4	1	no	—
881	C₂²×C₄	—	4	1	no	—
882	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
883	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
884	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
885	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
886	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
887	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
888	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
889	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
890	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
891	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
892	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
893	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
894	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
895	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
896	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
897	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
898	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
899	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
900	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
901	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
902	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
903	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
904	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
905	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
906	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
907	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
908	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
909	C₂²×C₄	C₂²×D₄	1	2	yes	—
910	C₂²×C₄	C₂×#41	1	2	yes	—
911	C₂²×C₄	C₂⁵	1	1	yes	characteristic
912	M₁₆	—	2	8	no	—
913	M₁₆	—	4	4	no	—
914	M₁₆	—	4	4	no	—
915	M₁₆	—	4	4	no	—
916	M₁₆	—	4	4	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	—	2	1	no	—
923	C₂×C₈	—	2	1	no	—
924	C₂×C₈	—	2	1	no	—
925	C₂×C₈	—	2	1	no	—
926	C₂×C₈	—	2	1	no	—
927	C₂×C₈	—	2	1	no	—
928	C₂×C₈	—	2	1	no	—
929	C₂×C₈	—	2	1	no	—
930	C₂×C₈	—	2	1	no	—
931	C₂×C₈	—	2	1	no	—
932	C₂×C₈	—	2	1	no	—
933	C₂×C₈	—	2	1	no	—
934	C₂×C₈	—	2	1	no	—
935	C₂×C₈	—	2	1	no	—
936	C₂×C₈	—	2	1	no	—
937	C₂×C₈	—	2	1	no	—
938	C₂×C₈	—	2	1	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	2	1	no	—
946	C₂×C₈	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	4	4	no	—
960	C₂×C₈	—	4	4	no	—
961	C₂×C₈	—	4	4	no	—
962	C₂×C₈	C₂²×D₄	1	2	yes	—
963	C₂×C₈	C₂²×D₄	1	2	yes	—
964	C₂×C₈	C₂²×D₄	1	2	yes	—
965	C₂×C₈	C₂²×D₄	1	2	yes	—
966	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
967	C₂×C₈	2₋¹⁺⁴	1	2	yes	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	4	1	no	—
996	C₄⋊C₄	—	4	1	no	—
997	C₄⋊C₄	—	4	1	no	—
998	C₄⋊C₄	—	4	1	no	—
999	C₄⋊C₄	—	4	1	no	—
1000	C₄⋊C₄	—	4	1	no	—
1001	C₄⋊C₄	—	4	1	no	—
1002	C₄⋊C₄	—	4	1	no	—
1003	C₄⋊C₄	—	4	1	no	—
1004	C₄⋊C₄	—	4	1	no	—
1005	C₄⋊C₄	—	4	1	no	—
1006	C₄⋊C₄	—	4	1	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	C₄×D₄	1	4	yes	—
1011	C₄⋊C₄	C₄×D₄	1	4	yes	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	4	1	no	—
1028	C₂²⋊C₄	—	4	1	no	—
1029	C₂²⋊C₄	—	4	1	no	—
1030	C₂²⋊C₄	—	4	1	no	—
1031	C₂²⋊C₄	—	4	1	no	—
1032	C₂²⋊C₄	—	4	1	no	—
1033	C₂²⋊C₄	—	4	1	no	—
1034	C₂²⋊C₄	—	4	1	no	—
1035	C₂²⋊C₄	—	4	1	no	—
1036	C₂²⋊C₄	—	4	1	no	—
1037	C₂²⋊C₄	—	4	1	no	—
1038	C₂²⋊C₄	—	4	1	no	—
1039	C₂²⋊C₄	—	4	1	no	—
1040	C₂²⋊C₄	—	4	1	no	—
1041	C₂²⋊C₄	—	4	1	no	—
1042	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1043	C₂²⋊C₄	C₄×D₄	1	4	yes	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	2	2	no	—
1047	C₄²	—	2	2	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	1	no	—
1050	C₄²	—	2	1	no	—
1051	C₄²	—	2	1	no	—
1052	C₄²	—	2	1	no	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	2	1	no	—
1067	C₄²	—	2	1	no	—
1068	C₄²	—	2	1	no	—
1069	C₄²	—	4	1	no	—
1070	C₄²	—	4	1	no	—
1071	C₄²	—	4	1	no	—
1072	C₄²	C₂²×D₄	1	2	yes	—
1073	C₄²	C₂²×D₄	1	2	yes	—
1074	C₄²	C₂×#41	1	2	yes	—
1075	C₄²	C₂×#41	1	2	yes	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	C₂×C₄×D₄	1	2	yes	—
1097	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1098	Q₈	—	4	4	no	—
1099	Q₈	—	4	4	no	—
1100	Q₈	—	8	2	no	—
1101	Q₈	—	8	2	no	—
1102	Q₈	—	8	2	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	2	no	—
1105	D₄	—	8	2	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	2	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	2	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	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	8	2	no	—
1194	C₂×C₄	—	8	2	no	—
1195	C₂×C₄	—	8	2	no	—
1196	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1197	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1198	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1199	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1200	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1201	C₂×C₄	#568	1	2	yes	—
1202	C₂×C₄	#568	1	2	yes	—
1203	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1204	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1205	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1206	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1207	C₂×C₄	#585	1	1	yes	characteristic
1208	C₂×C₄	#585	1	1	yes	characteristic
1209	C₈	—	2	2	no	—
1210	C₈	—	2	2	no	—
1211	C₈	—	2	2	no	—
1212	C₈	—	4	1	no	—
1213	C₈	—	4	1	no	—
1214	C₈	—	4	1	no	—
1215	C₈	—	4	1	no	—
1216	C₈	—	4	1	no	—
1217	C₈	—	4	1	no	—
1218	C₈	—	4	1	no	—
1219	C₈	—	4	1	no	—
1220	C₈	—	4	1	no	—
1221	C₈	—	4	1	no	—
1222	C₈	—	4	1	no	—
1223	C₈	—	4	1	no	—
1224	C₈	#536	1	4	yes	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	1	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	4	1	no	—
1239	C₂²	—	4	1	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1247	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1248	C₂²	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1249	C₂²	C₂×#568	1	1	yes	characteristic
1250	C₂²	C₂×#568	1	1	yes	characteristic
1251	C₂²	#3573	1	1	yes	characteristic
1252	C₂²	#3573	1	1	yes	characteristic
1253	C₄	—	2	2	no	—
1254	C₄	—	2	2	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	C₂×#536	1	1	yes	characteristic
1281	C₄	#3449	1	1	yes	characteristic
1282	C₄	#3461	1	1	yes	characteristic
1283	C₄	#3461	1	1	yes	characteristic
1284	C₂	—	4	2	no	—
1285	C₂	—	8	1	no	—
1286	C₂	—	8	1	no	—
1287	C₂	C₄×#536	1	1	yes	characteristic
1288	C₂	#60146	1	1	yes	characteristic
1289	C₂	#60147	1	1	yes	characteristic
1290	C₂	#60337	1	1	yes	characteristic
1291	C₂	#60338	1	1	yes	characteristic
1292	C₂	#60340	1	1	yes	characteristic
1293	C₂	#60344	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#121	C₂×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. C₂×#2962	C₂	semidirect
4. #22242	C₂	semidirect
5. #22241	C₂	semidirect
6. #22215	C₂	semidirect
7. #22210	C₂	semidirect
8. #22109	C₂	semidirect
9. #22108	C₂	semidirect
10. #22107	C₂	semidirect
11. #22106	C₂	semidirect
12. #22070	C₂	semidirect
13. #22069	C₂	semidirect
14. #22068	C₂	semidirect
15. #22067	C₂	semidirect
16. #21980	C₂	semidirect
18. #21824	C₂	semidirect
19. #21717	C₂	semidirect
20. #21713	C₂	semidirect
21. #21637	C₂	semidirect
22. #21632	C₂	semidirect
23. #21603	C₂	semidirect
24. #21601	C₂	semidirect
25. #21598	C₂	semidirect
26. #21596	C₂	semidirect
27. #21571	C₂	semidirect
28. #21568	C₂	semidirect
29. #21565	C₂	semidirect
30. #21562	C₂	semidirect
31. #20478	C₂	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2967	2
C₂×#2962	2
#52166	2
#22242	2
#22241	2
#22215	2
#22210	2
#22109	2
#22108	2
#22107	2
#22106	2
#22070	2
#22069	2
#22068	2
#22067	2
#21980	2
#21855	2
#21824	2
#21717	2
#21713	2
#21637	2
#21632	2
#21603	2
#21601	2
#21598	2
#21596	2
#21571	2
#21568	2
#21565	2
#21562	2
#20478	2