Subgroups — #6382394

Order 512.

1925 conjugacy classes of subgroups.

The subgroup lattice has 1391 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#2966	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#2923	C₂	1	1	yes	maximal, characteristic, complemented
3	#34636	C₂	1	1	yes	maximal, characteristic
4	#23092	C₂	1	1	yes	maximal, characteristic, complemented
5	#23089	C₂	1	1	yes	maximal, characteristic, complemented
6	#23059	C₂	1	1	yes	maximal, characteristic, complemented
7	#23056	C₂	1	1	yes	maximal, characteristic, complemented
8	#22994	C₂	1	1	yes	maximal, characteristic, complemented
9	#22991	C₂	1	1	yes	maximal, characteristic, complemented
10	#22961	C₂	1	1	yes	maximal, characteristic, complemented
11	#22958	C₂	1	1	yes	maximal, characteristic, complemented
12	#22911	C₂	1	1	yes	maximal, characteristic, complemented
13	#22909	C₂	1	1	yes	maximal, characteristic, complemented
14	#22903	C₂	1	1	yes	maximal, characteristic, complemented
15	#22901	C₂	1	1	yes	maximal, characteristic, complemented
16	#22849	C₂	1	1	yes	maximal, characteristic, complemented
17	#22847	C₂	1	1	yes	maximal, characteristic, complemented
18	#22845	C₂	1	1	yes	maximal, characteristic, complemented
19	#22843	C₂	1	1	yes	maximal, characteristic, complemented
20	#21376	C₂	1	1	yes	maximal, characteristic, complemented
21	#21351	C₂	1	1	yes	maximal, characteristic, complemented
22	#21273	C₂	1	1	yes	maximal, characteristic, complemented
23	#21273	C₂	1	1	yes	maximal, characteristic, complemented
24	#21112	C₂	1	1	yes	maximal, characteristic, complemented
25	#21112	C₂	1	1	yes	maximal, characteristic, complemented
26	#21106	C₂	1	1	yes	maximal, characteristic, complemented
27	#21105	C₂	1	1	yes	maximal, characteristic, complemented
28	#20493	C₂	1	1	yes	maximal, characteristic, complemented
29	#20490	C₂	1	1	yes	maximal, characteristic, complemented
30	#20477	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#408	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#529	C₂²	1	1	yes	characteristic
33	C₂×C₄×#41	C₂²	1	1	yes	characteristic
34	#2966	—	2	8	no	—
35	C₂×#446	C₂²	1	1	yes	characteristic
36	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic
37	C₂×#436	C₂²	1	1	yes	characteristic
38	C₂×#436	C₂²	1	1	yes	characteristic
39	C₂×#435	C₂²	1	1	yes	characteristic
40	C₂×#435	C₂²	1	1	yes	characteristic
41	C₂×#435	C₂²	1	1	yes	characteristic
42	C₂×#435	C₂²	1	1	yes	characteristic
43	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
44	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
46	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
47	#2923	—	2	8	no	—
48	C₂×#433	C₂²	1	1	yes	characteristic
49	C₂×#433	C₂²	1	1	yes	characteristic
50	C₂×#433	C₂²	1	1	yes	characteristic
51	C₂×#433	C₂²	1	1	yes	characteristic
52	C₂×#433	C₂²	1	1	yes	characteristic
53	C₂×#433	C₂²	1	1	yes	characteristic
54	C₂×#432	C₂²	1	1	yes	characteristic
55	C₂×#432	C₂²	1	1	yes	characteristic
56	C₂×#432	C₂²	1	1	yes	characteristic
57	C₂×#432	C₂²	1	1	yes	characteristic
58	C₂×#424	C₂²	1	1	yes	characteristic
59	C₂×#424	C₂²	1	1	yes	characteristic
60	C₂×#408	C₂²	1	1	yes	characteristic
61	C₂×#408	C₂²	1	1	yes	characteristic
62	C₂×#408	C₂²	1	1	yes	characteristic
63	C₂×#408	C₂²	1	1	yes	characteristic
64	C₂×#405	C₂²	1	1	yes	characteristic
65	C₂×#405	C₂²	1	1	yes	characteristic
66	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
67	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic
68	C₂²×#97	C₂²	1	1	yes	characteristic
69	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic
70	#2638	C₄	1	1	yes	characteristic
71	#2638	C₄	1	1	yes	characteristic
72	#2637	C₄	1	1	yes	characteristic
73	#2637	C₄	1	1	yes	characteristic
74	#2636	C₄	1	1	yes	characteristic
75	#2636	C₄	1	1	yes	characteristic
76	#2635	C₄	1	1	yes	characteristic
77	#2635	C₄	1	1	yes	characteristic
78	#2634	C₄	1	1	yes	characteristic
79	#2633	C₄	1	1	yes	characteristic
80	#2632	C₄	1	1	yes	characteristic
81	#2631	C₄	1	1	yes	characteristic
82	#2630	C₄	1	1	yes	characteristic
83	#2630	C₄	1	1	yes	characteristic
84	#2630	C₄	1	1	yes	characteristic
85	#2630	C₄	1	1	yes	characteristic
86	#2396	C₂²	1	1	yes	characteristic
87	#2396	C₂²	1	1	yes	characteristic
88	#2395	C₂²	1	1	yes	characteristic
89	#2395	C₂²	1	1	yes	characteristic
90	#2392	C₂²	1	1	yes	characteristic
91	#2392	C₂²	1	1	yes	characteristic
92	#2388	C₂²	1	1	yes	characteristic
93	#2388	C₂²	1	1	yes	characteristic
94	#2290	C₂²	1	1	yes	characteristic
95	#2290	C₂²	1	1	yes	characteristic
96	#2290	C₂²	1	1	yes	characteristic
97	#2290	C₂²	1	1	yes	characteristic
98	#2283	C₂²	1	1	yes	characteristic
99	#1985	C₂²	1	1	yes	characteristic
100	#1985	C₂²	1	1	yes	characteristic
101	#1955	C₂²	1	1	yes	characteristic
102	#1955	C₂²	1	1	yes	characteristic
103	#1955	C₂²	1	1	yes	characteristic
104	#1955	C₂²	1	1	yes	characteristic
105	#1954	C₂²	1	1	yes	characteristic
106	#1954	C₂²	1	1	yes	characteristic
107	#1940	C₂²	1	1	yes	characteristic
108	#1940	C₂²	1	1	yes	characteristic
109	#1939	C₂²	1	1	yes	characteristic
110	#1939	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	#1924	C₂²	1	1	yes	characteristic
116	#1924	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	#1923	C₂²	1	1	yes	characteristic
124	#1923	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	#1917	C₂²	1	1	yes	characteristic
132	#1917	C₂²	1	1	yes	characteristic
133	#1917	C₂²	1	1	yes	characteristic
134	#1917	C₂²	1	1	yes	characteristic
135	#1916	C₂²	1	1	yes	characteristic
136	#1916	C₂²	1	1	yes	characteristic
137	#1916	C₂²	1	1	yes	characteristic
138	#1916	C₂²	1	1	yes	characteristic
139	#1870	C₂²	1	1	yes	characteristic
140	#1870	C₂²	1	1	yes	characteristic
141	#1870	C₂²	1	1	yes	characteristic
142	#1870	C₂²	1	1	yes	characteristic
143	#1870	C₂²	1	1	yes	characteristic
144	#1870	C₂²	1	1	yes	characteristic
145	#1870	C₂²	1	1	yes	characteristic
146	#1870	C₂²	1	1	yes	characteristic
147	#1869	C₂²	1	1	yes	characteristic
148	#1869	C₂²	1	1	yes	characteristic
149	#1869	C₂²	1	1	yes	characteristic
150	#1869	C₂²	1	1	yes	characteristic
151	#1851	C₂²	1	1	yes	characteristic
152	#1851	C₂²	1	1	yes	characteristic
153	#1851	C₂²	1	1	yes	characteristic
154	#1851	C₂²	1	1	yes	characteristic
155	#1850	C₂²	1	1	yes	characteristic
156	#1850	C₂²	1	1	yes	characteristic
157	#1850	C₂²	1	1	yes	characteristic
158	#1850	C₂²	1	1	yes	characteristic
159	#1850	C₂²	1	1	yes	characteristic
160	#1850	C₂²	1	1	yes	characteristic
161	#1850	C₂²	1	1	yes	characteristic
162	#1850	C₂²	1	1	yes	characteristic
163	#1771	C₂²	1	1	yes	characteristic
164	#1771	C₂²	1	1	yes	characteristic
165	#1771	C₂²	1	1	yes	characteristic
166	#1771	C₂²	1	1	yes	characteristic
167	#1771	C₂²	1	1	yes	characteristic
168	#1771	C₂²	1	1	yes	characteristic
169	#1770	C₂²	1	1	yes	characteristic
170	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	#1768	C₂²	1	1	yes	characteristic
172	#1768	C₂²	1	1	yes	characteristic
173	#1768	C₂²	1	1	yes	characteristic
174	#1768	C₂²	1	1	yes	characteristic
175	#1753	C₂²	1	1	yes	characteristic
176	#1753	C₂²	1	1	yes	characteristic
177	#1753	C₂²	1	1	yes	characteristic
178	#1753	C₂²	1	1	yes	characteristic
179	#1753	C₂²	1	1	yes	characteristic
180	#1753	C₂²	1	1	yes	characteristic
181	#1753	C₂²	1	1	yes	characteristic
182	#1753	C₂²	1	1	yes	characteristic
183	#1752	C₂²	1	1	yes	characteristic
184	#1752	C₂²	1	1	yes	characteristic
185	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	#1750	C₂²	1	1	yes	characteristic
188	#1750	C₂²	1	1	yes	characteristic
189	#1750	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic
191	#1750	C₂²	1	1	yes	characteristic
192	#1750	C₂²	1	1	yes	characteristic
193	#1750	C₂²	1	1	yes	characteristic
194	#1750	C₂²	1	1	yes	characteristic
195	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
196	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#1746	C₂²	1	1	yes	characteristic
200	#1746	C₂²	1	1	yes	characteristic
201	#1729	C₂²	1	1	yes	characteristic
202	#1729	C₂²	1	1	yes	characteristic
203	#1726	C₂²	1	1	yes	characteristic
204	#1726	C₂²	1	1	yes	characteristic
205	C₂²×#41	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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
211	C₂²×M₁₆	C₂³	1	1	yes	characteristic
212	C₂³×C₈	C₂³	1	1	yes	characteristic
213	C₂³×C₈	C₂³	1	1	yes	characteristic
214	C₂³×C₈	C₂³	1	1	yes	characteristic
215	C₂³×C₈	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	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×#124	C₂×C₄	1	1	yes	characteristic
224	C₂×#123	C₂×C₄	1	1	yes	characteristic
225	C₂×#123	C₂×C₄	1	1	yes	characteristic
226	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
227	C₂×#121	C₂×C₄	1	1	yes	characteristic
228	C₄×#41	—	2	4	no	—
229	C₄×#41	—	2	4	no	—
230	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
237	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
238	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
239	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₄	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×#117	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	C₂×#117	C₂³	1	1	yes	characteristic
251	C₂²×C₄²	C₂³	1	1	yes	characteristic
252	C₂²×C₄²	C₂³	1	1	yes	characteristic
253	C₂²×C₄²	C₂³	1	1	yes	characteristic
254	#446	—	2	4	no	—
255	C₈×Q₈	—	2	4	no	—
256	#436	—	2	4	no	—
257	#436	—	2	4	no	—
258	#435	—	2	4	no	—
259	#435	—	2	4	no	—
260	#435	—	2	4	no	—
261	#435	—	2	4	no	—
262	C₈×D₄	—	2	4	no	—
263	C₈×D₄	—	2	4	no	—
264	C₈×D₄	—	2	4	no	—
265	C₈×D₄	—	2	4	no	—
266	#433	—	2	4	no	—
267	#433	—	2	4	no	—
268	#433	—	2	4	no	—
269	#433	—	2	4	no	—
270	#433	—	2	4	no	—
271	#433	—	2	4	no	—
272	#432	—	2	4	no	—
273	#432	—	2	4	no	—
274	#432	—	2	4	no	—
275	#432	D₄	1	8	yes	complemented
276	#424	—	2	4	no	—
277	#424	—	2	4	no	—
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	#408	—	2	4	no	—
299	#408	—	2	4	no	—
300	#408	—	2	4	no	—
301	#408	—	2	4	no	—
302	C₂×C₂²⋊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	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
330	#405	—	2	4	no	—
331	#405	—	2	4	no	—
332	C₄×M₁₆	—	2	4	no	—
333	C₄×M₁₆	—	2	4	no	—
334	C₂×#97	—	2	4	no	—
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×#97	C₂³	1	1	yes	characteristic
340	C₂×#97	C₂³	1	1	yes	characteristic
341	C₂×#97	C₂³	1	1	yes	characteristic
342	C₂×#97	C₂³	1	1	yes	characteristic
343	C₂×#97	C₂³	1	1	yes	characteristic
344	C₂×#97	C₂³	1	1	yes	characteristic
345	C₂×#97	C₂³	1	1	yes	characteristic
346	C₂×#97	C₂³	1	1	yes	characteristic
347	C₂×#97	C₂³	1	1	yes	characteristic
348	C₂×#97	C₂³	1	1	yes	characteristic
349	C₂×C₄×C₈	—	2	4	no	—
350	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
351	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
352	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
353	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
354	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
355	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
356	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
357	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
358	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
359	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
360	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
361	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
362	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
363	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
364	#400	C₂×C₄	1	1	yes	characteristic
365	#400	C₂×C₄	1	1	yes	characteristic
366	#400	C₂×C₄	1	1	yes	characteristic
367	#400	C₂×C₄	1	1	yes	characteristic
368	#399	C₂×C₄	1	1	yes	characteristic
369	#399	C₂×C₄	1	1	yes	characteristic
370	#399	C₂×C₄	1	1	yes	characteristic
371	#399	C₂×C₄	1	1	yes	characteristic
372	#398	C₂×C₄	1	1	yes	characteristic
373	#398	C₂×C₄	1	1	yes	characteristic
374	#398	C₂×C₄	1	1	yes	characteristic
375	#398	C₂×C₄	1	1	yes	characteristic
376	#398	C₂×C₄	1	1	yes	characteristic
377	#398	C₂×C₄	1	1	yes	characteristic
378	#398	C₂×C₄	1	1	yes	characteristic
379	#398	C₂×C₄	1	1	yes	characteristic
380	#397	C₂×C₄	1	1	yes	characteristic
381	#397	C₂×C₄	1	1	yes	characteristic
382	#397	C₂×C₄	1	1	yes	characteristic
383	#397	C₂×C₄	1	1	yes	characteristic
384	#397	C₂×C₄	1	1	yes	characteristic
385	#397	C₂×C₄	1	1	yes	characteristic
386	#397	C₂×C₄	1	1	yes	characteristic
387	#397	C₂×C₄	1	1	yes	characteristic
388	#396	C₂×C₄	1	1	yes	characteristic
389	#396	C₂×C₄	1	1	yes	characteristic
390	#396	C₂×C₄	1	1	yes	characteristic
391	#396	C₂×C₄	1	1	yes	characteristic
392	#396	C₂×C₄	1	1	yes	characteristic
393	#396	C₂×C₄	1	1	yes	characteristic
394	#396	C₂×C₄	1	1	yes	characteristic
395	#396	C₂×C₄	1	1	yes	characteristic
396	#395	C₂×C₄	1	1	yes	characteristic
397	#395	C₂×C₄	1	1	yes	characteristic
398	#395	C₂×C₄	1	1	yes	characteristic
399	#395	C₂×C₄	1	1	yes	characteristic
400	#394	C₂×C₄	1	1	yes	characteristic
401	#394	C₂×C₄	1	1	yes	characteristic
402	#394	C₂×C₄	1	1	yes	characteristic
403	#394	C₂×C₄	1	1	yes	characteristic
404	#394	C₂×C₄	1	1	yes	characteristic
405	#394	C₂×C₄	1	1	yes	characteristic
406	#394	C₂×C₄	1	1	yes	characteristic
407	#394	C₂×C₄	1	1	yes	characteristic
408	#394	C₂×C₄	1	1	yes	characteristic
409	#394	C₂×C₄	1	1	yes	characteristic
410	#394	C₂×C₄	1	1	yes	characteristic
411	#394	C₂×C₄	1	1	yes	characteristic
412	#394	C₂×C₄	1	1	yes	characteristic
413	#394	C₂×C₄	1	1	yes	characteristic
414	#394	C₂×C₄	1	1	yes	characteristic
415	#394	C₂×C₄	1	1	yes	characteristic
416	#393	C₂×C₄	1	1	yes	characteristic
417	#393	C₂×C₄	1	1	yes	characteristic
418	#393	C₂×C₄	1	1	yes	characteristic
419	#393	C₂×C₄	1	1	yes	characteristic
420	#392	C₂×C₄	1	1	yes	characteristic
421	#392	C₂×C₄	1	1	yes	characteristic
422	#392	C₂×C₄	1	1	yes	characteristic
423	#392	C₂×C₄	1	1	yes	characteristic
424	#392	C₂×C₄	1	1	yes	characteristic
425	#392	C₂×C₄	1	1	yes	characteristic
426	#392	C₂×C₄	1	1	yes	characteristic
427	#392	C₂×C₄	1	1	yes	characteristic
428	#388	C₂×C₄	1	1	yes	characteristic
429	#388	C₂×C₄	1	1	yes	characteristic
430	#388	C₂×C₄	1	1	yes	characteristic
431	#388	C₂×C₄	1	1	yes	characteristic
432	#388	C₂×C₄	1	1	yes	characteristic
433	#388	C₂×C₄	1	1	yes	characteristic
434	#388	C₂×C₄	1	1	yes	characteristic
435	#388	C₂×C₄	1	1	yes	characteristic
436	#387	C₂×C₄	1	1	yes	characteristic
437	#387	C₂×C₄	1	1	yes	characteristic
438	#387	C₂×C₄	1	1	yes	characteristic
439	#387	C₂×C₄	1	1	yes	characteristic
440	#387	C₂×C₄	1	1	yes	characteristic
441	#387	C₂×C₄	1	1	yes	characteristic
442	#387	C₂×C₄	1	1	yes	characteristic
443	#387	C₂×C₄	1	1	yes	characteristic
444	#386	C₂×C₄	1	1	yes	characteristic
445	#386	C₂×C₄	1	1	yes	characteristic
446	#386	C₂×C₄	1	1	yes	characteristic
447	#386	C₂×C₄	1	1	yes	characteristic
448	#386	C₂×C₄	1	1	yes	characteristic
449	#386	C₂×C₄	1	1	yes	characteristic
450	#386	C₂×C₄	1	1	yes	characteristic
451	#386	C₂×C₄	1	1	yes	characteristic
452	#385	C₂×C₄	1	1	yes	characteristic
453	#385	C₂×C₄	1	1	yes	characteristic
454	#385	C₂×C₄	1	1	yes	characteristic
455	#385	C₂×C₄	1	1	yes	characteristic
456	#385	C₂×C₄	1	1	yes	characteristic
457	#385	C₂×C₄	1	1	yes	characteristic
458	#385	C₂×C₄	1	1	yes	characteristic
459	#385	C₂×C₄	1	1	yes	characteristic
460	#383	C₂×C₄	1	1	yes	characteristic
461	#383	C₂×C₄	1	1	yes	characteristic
462	#382	C₂×C₄	1	1	yes	characteristic
463	#382	C₂×C₄	1	1	yes	characteristic
464	#381	C₂×C₄	1	1	yes	characteristic
465	#381	C₂×C₄	1	1	yes	characteristic
466	#380	C₂×C₄	1	1	yes	characteristic
467	#380	C₂×C₄	1	1	yes	characteristic
468	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
469	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
471	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
472	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
473	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
474	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
475	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
476	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
477	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
478	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
479	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
480	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
481	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
482	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
483	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
484	#376	C₂³	1	1	yes	characteristic
485	#376	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	#336	C₂³	1	1	yes	characteristic
513	#336	C₂³	1	1	yes	characteristic
514	#336	C₂³	1	1	yes	characteristic
515	#336	C₂³	1	1	yes	characteristic
516	#336	C₂³	1	1	yes	characteristic
517	#336	C₂³	1	1	yes	characteristic
518	C₂×#41	—	2	2	no	—
519	C₂×#41	—	2	2	no	—
520	C₂×#41	—	2	2	no	—
521	C₂×#41	—	2	2	no	—
522	C₂×#41	—	4	1	no	—
523	C₂×#41	—	4	1	no	—
524	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
525	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
526	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
527	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
528	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
529	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
530	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
531	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
532	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
533	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
534	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
535	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
536	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
537	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
538	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
539	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
540	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
541	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
542	C₂³×C₄	C₂⁴	1	1	yes	characteristic
543	C₂³×C₄	C₂⁴	1	1	yes	characteristic
544	C₂³×C₄	C₂⁴	1	1	yes	characteristic
545	C₂³×C₄	C₂⁴	1	1	yes	characteristic
546	C₂³×C₄	C₂⁴	1	1	yes	characteristic
547	C₂×M₁₆	—	2	2	no	—
548	C₂×M₁₆	—	2	2	no	—
549	C₂×M₁₆	—	2	2	no	—
550	C₂×M₁₆	—	2	2	no	—
551	C₂×M₁₆	—	2	2	no	—
552	C₂×M₁₆	—	2	2	no	—
553	C₂×M₁₆	—	2	2	no	—
554	C₂×M₁₆	—	2	2	no	—
555	C₂×M₁₆	—	2	2	no	—
556	C₂×M₁₆	—	2	2	no	—
557	C₂×M₁₆	—	2	2	no	—
558	C₂×M₁₆	—	2	2	no	—
559	C₂×M₁₆	—	4	1	no	—
560	C₂×M₁₆	—	4	1	no	—
561	C₂×M₁₆	—	4	1	no	—
562	C₂×M₁₆	—	4	1	no	—
563	C₂×M₁₆	—	4	1	no	—
564	C₂×M₁₆	—	4	1	no	—
565	C₂²×C₈	—	2	2	no	—
566	C₂²×C₈	—	2	2	no	—
567	C₂²×C₈	—	2	2	no	—
568	C₂²×C₈	—	2	2	no	—
569	C₂²×C₈	—	2	2	no	—
570	C₂²×C₈	—	2	2	no	—
571	C₂²×C₈	—	2	2	no	—
572	C₂²×C₈	—	2	2	no	—
573	C₂²×C₈	—	2	2	no	—
574	C₂²×C₈	—	2	2	no	—
575	C₂²×C₈	—	2	2	no	—
576	C₂²×C₈	—	2	2	no	—
577	C₂²×C₈	—	4	1	no	—
578	C₂²×C₈	—	4	1	no	—
579	C₂²×C₈	—	4	1	no	—
580	C₂²×C₈	—	4	1	no	—
581	C₂²×C₈	—	4	1	no	—
582	C₂²×C₈	—	4	1	no	—
583	C₂²×C₈	C₂⁴	1	1	yes	characteristic
584	C₂²×C₈	C₂⁴	1	1	yes	characteristic
585	C₂²×C₈	C₂⁴	1	1	yes	characteristic
586	C₂²×C₈	C₂⁴	1	1	yes	characteristic
587	C₂²×C₈	C₂⁴	1	1	yes	characteristic
588	C₂²×C₈	C₂⁴	1	1	yes	characteristic
589	C₂²×C₈	C₂⁴	1	1	yes	characteristic
590	C₂²×C₈	C₂⁴	1	1	yes	characteristic
591	C₂²×C₈	C₂⁴	1	1	yes	characteristic
592	C₂²×C₈	C₂⁴	1	1	yes	characteristic
593	C₂²×C₈	C₂⁴	1	1	yes	characteristic
594	C₂²×C₈	C₂⁴	1	1	yes	characteristic
595	C₂²×C₈	C₂⁴	1	1	yes	characteristic
596	C₂²×C₈	C₂⁴	1	1	yes	characteristic
597	C₂²×C₈	C₂⁴	1	1	yes	characteristic
598	C₂²×C₈	C₂⁴	1	1	yes	characteristic
599	#126	—	2	4	no	—
600	#126	—	2	4	no	—
601	#125	—	2	4	no	—
602	#124	—	2	4	no	—
603	#123	—	2	4	no	—
604	#123	—	2	4	no	—
605	C₂²⋊Q₈	—	2	4	no	—
606	#121	—	2	4	no	—
607	C₄×Q₈	—	2	4	no	—
608	C₄×Q₈	—	2	4	no	—
609	C₄×Q₈	—	2	2	no	—
610	C₄×Q₈	—	2	2	no	—
611	C₄×D₄	—	2	4	no	—
612	C₄×D₄	—	2	4	no	—
613	C₄×D₄	—	2	4	no	—
614	C₄×D₄	—	2	4	no	—
615	C₄×D₄	—	2	2	no	—
616	C₄×D₄	—	2	2	no	—
617	C₄×D₄	—	2	2	no	—
618	C₄×D₄	—	2	2	no	—
619	C₄×D₄	—	2	2	no	—
620	C₄×D₄	—	2	2	no	—
621	C₄×D₄	—	2	2	no	—
622	C₄×D₄	—	2	2	no	—
623	C₄×D₄	—	2	4	no	—
624	C₄×D₄	—	2	4	no	—
625	C₄×D₄	—	2	2	no	—
626	C₄×D₄	—	2	2	no	—
627	C₄×D₄	—	4	1	no	—
628	C₄×D₄	—	4	1	no	—
629	C₄×D₄	—	4	1	no	—
630	C₄×D₄	—	4	1	no	—
631	#117	—	2	2	no	—
632	#117	—	2	2	no	—
633	#117	—	2	2	no	—
634	#117	—	2	2	no	—
635	#117	—	2	2	no	—
636	#117	—	2	2	no	—
637	#117	—	2	2	no	—
638	#117	—	2	2	no	—
639	#117	—	2	2	no	—
640	#117	—	2	2	no	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄⋊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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₄²	—	2	2	no	—
718	C₂×C₄²	—	2	2	no	—
719	C₂×C₄²	—	2	2	no	—
720	C₂×C₄²	—	2	2	no	—
721	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
726	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₄²	C₂×D₄	1	4	yes	—
728	C₂×C₄²	#41	1	4	yes	—
729	C₂×C₄²	C₂⁴	1	1	yes	characteristic
730	C₂×C₄²	C₂⁴	1	1	yes	characteristic
731	C₂×C₄²	C₂⁴	1	1	yes	characteristic
732	C₂×C₄²	C₂⁴	1	1	yes	characteristic
733	C₂×C₄²	C₂⁴	1	1	yes	characteristic
734	C₂×C₄²	C₂⁴	1	1	yes	characteristic
735	C₂×C₄²	C₂⁴	1	1	yes	characteristic
736	C₂×C₄²	C₂⁴	1	1	yes	characteristic
737	C₂×C₄²	C₂⁴	1	1	yes	characteristic
738	C₂×C₄²	C₂⁴	1	1	yes	characteristic
739	C₄⋊C₈	—	2	2	no	—
740	C₄⋊C₈	—	2	2	no	—
741	C₄⋊C₈	—	2	2	no	—
742	C₄⋊C₈	—	2	2	no	—
743	C₄⋊C₈	—	2	2	no	—
744	C₄⋊C₈	—	2	2	no	—
745	C₄⋊C₈	—	2	2	no	—
746	C₄⋊C₈	—	2	2	no	—
747	C₄⋊C₈	—	2	2	no	—
748	C₄⋊C₈	—	2	2	no	—
749	C₄⋊C₈	—	2	2	no	—
750	C₄⋊C₈	—	2	2	no	—
751	C₄⋊C₈	—	2	2	no	—
752	C₄⋊C₈	—	2	2	no	—
753	C₄⋊C₈	—	4	1	no	—
754	C₄⋊C₈	—	4	1	no	—
755	C₄⋊C₈	—	4	1	no	—
756	C₄⋊C₈	—	4	1	no	—
757	C₄⋊C₈	C₂×D₄	1	4	yes	—
758	C₄⋊C₈	C₂×D₄	1	4	yes	—
759	C₂²⋊C₈	—	2	2	no	—
760	C₂²⋊C₈	—	2	2	no	—
761	C₂²⋊C₈	—	2	2	no	—
762	C₂²⋊C₈	—	2	2	no	—
763	C₂²⋊C₈	—	2	2	no	—
764	C₂²⋊C₈	—	2	2	no	—
765	C₂²⋊C₈	—	2	2	no	—
766	C₂²⋊C₈	—	2	2	no	—
767	C₂²⋊C₈	—	2	2	no	—
768	C₂²⋊C₈	—	2	2	no	—
769	C₂²⋊C₈	—	2	2	no	—
770	C₂²⋊C₈	—	2	2	no	—
771	C₂²⋊C₈	—	2	2	no	—
772	C₂²⋊C₈	—	2	2	no	—
773	C₂²⋊C₈	—	2	2	no	—
774	C₂²⋊C₈	—	2	2	no	—
775	C₂²⋊C₈	—	2	2	no	—
776	C₂²⋊C₈	—	2	2	no	—
777	C₂²⋊C₈	—	2	2	no	—
778	C₂²⋊C₈	—	2	2	no	—
779	C₂²⋊C₈	—	4	1	no	—
780	C₂²⋊C₈	—	4	1	no	—
781	C₂²⋊C₈	—	4	1	no	—
782	C₂²⋊C₈	—	4	1	no	—
783	C₂²⋊C₈	C₂×D₄	1	4	yes	—
784	C₂²⋊C₈	C₂×D₄	1	4	yes	—
785	C₂²⋊C₈	#41	1	4	yes	—
786	C₂²⋊C₈	#41	1	4	yes	—
787	#97	—	2	2	no	—
788	#97	—	2	2	no	—
789	#97	—	2	2	no	—
790	#97	—	2	2	no	—
791	#97	—	2	2	no	—
792	#97	—	2	2	no	—
793	#97	—	2	2	no	—
794	#97	—	2	2	no	—
795	#97	—	2	2	no	—
796	#97	—	2	2	no	—
797	#97	—	4	1	no	—
798	#97	—	4	1	no	—
799	#97	C₂×D₄	1	4	yes	—
800	#97	C₂×D₄	1	4	yes	—
801	C₄×C₈	—	2	2	no	—
802	C₄×C₈	—	2	2	no	—
803	C₄×C₈	—	2	2	no	—
804	C₄×C₈	—	2	2	no	—
805	C₄×C₈	—	2	2	no	—
806	C₄×C₈	—	2	2	no	—
807	C₄×C₈	—	2	2	no	—
808	C₄×C₈	—	2	2	no	—
809	C₄×C₈	—	2	2	no	—
810	C₄×C₈	—	2	2	no	—
811	C₄×C₈	—	2	2	no	—
812	C₄×C₈	—	2	2	no	—
813	C₄×C₈	—	4	1	no	—
814	C₄×C₈	—	4	1	no	—
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	#95	C₂²×C₄	1	1	yes	characteristic
828	#95	C₂²×C₄	1	1	yes	characteristic
829	#95	C₂²×C₄	1	1	yes	characteristic
830	#95	C₂²×C₄	1	1	yes	characteristic
831	#95	C₂²×C₄	1	1	yes	characteristic
832	#95	C₂²×C₄	1	1	yes	characteristic
833	#95	C₂²×C₄	1	1	yes	characteristic
834	#95	C₂²×C₄	1	1	yes	characteristic
835	#95	C₂²×C₄	1	1	yes	characteristic
836	#95	C₂²×C₄	1	1	yes	characteristic
837	#95	C₂²×C₄	1	1	yes	characteristic
838	#95	C₂²×C₄	1	1	yes	characteristic
839	#95	C₂²×C₄	1	1	yes	characteristic
840	#95	C₂²×C₄	1	1	yes	characteristic
841	#95	C₂²×C₄	1	1	yes	characteristic
842	#95	C₂²×C₄	1	1	yes	characteristic
843	#95	C₂²×C₄	1	1	yes	characteristic
844	#95	C₂²×C₄	1	1	yes	characteristic
845	#95	C₂²×C₄	1	1	yes	characteristic
846	#95	C₂²×C₄	1	1	yes	characteristic
847	#95	C₂²×C₄	1	1	yes	characteristic
848	#95	C₂²×C₄	1	1	yes	characteristic
849	#95	C₂²×C₄	1	1	yes	characteristic
850	#95	C₂²×C₄	1	1	yes	characteristic
851	#95	C₂²×C₄	1	1	yes	characteristic
852	#95	C₂²×C₄	1	1	yes	characteristic
853	#95	C₂²×C₄	1	1	yes	characteristic
854	#95	C₂²×C₄	1	1	yes	characteristic
855	C₂⁴	C₂³×C₄	1	1	yes	characteristic
856	C₂⁴	C₂³×C₄	1	1	yes	characteristic
857	C₂⁴	C₂³×C₄	1	1	yes	characteristic
858	C₂⁴	C₂³×C₄	1	1	yes	characteristic
859	C₂⁴	C₂³×C₄	1	1	yes	characteristic
860	#41	—	4	4	no	—
861	#41	—	4	4	no	—
862	#41	—	4	4	no	—
863	#41	—	4	4	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	2	no	—
867	C₂×Q₈	—	4	1	no	—
868	C₂×Q₈	—	4	1	no	—
869	C₂×Q₈	—	4	1	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	4	1	no	—
882	C₂×D₄	—	4	1	no	—
883	C₂×D₄	—	4	1	no	—
884	C₂×D₄	—	4	1	no	—
885	C₂×D₄	—	4	1	no	—
886	C₂×D₄	—	4	1	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	—	4	1	no	—
890	C₂×D₄	—	4	1	no	—
891	C₂×D₄	—	4	1	no	—
892	C₂×D₄	—	4	1	no	—
893	C₂×D₄	—	4	1	no	—
894	C₂×D₄	—	4	1	no	—
895	C₂×D₄	—	4	1	no	—
896	C₂×D₄	—	4	1	no	—
897	C₂×D₄	—	4	1	no	—
898	C₂×D₄	—	4	1	no	—
899	C₂×D₄	—	4	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	4	1	no	—
931	C₂²×C₄	—	4	1	no	—
932	C₂²×C₄	—	4	1	no	—
933	C₂²×C₄	—	4	1	no	—
934	C₂²×C₄	—	4	1	no	—
935	C₂²×C₄	—	4	1	no	—
936	C₂²×C₄	—	4	1	no	—
937	C₂²×C₄	—	4	1	no	—
938	C₂²×C₄	—	4	1	no	—
939	C₂²×C₄	—	4	1	no	—
940	C₂²×C₄	—	4	1	no	—
941	C₂²×C₄	—	4	1	no	—
942	C₂²×C₄	C₄×D₄	1	4	yes	—
943	C₂²×C₄	C₄×D₄	1	4	yes	—
944	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
945	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
946	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
947	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
948	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
949	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
950	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
951	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
952	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
953	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
954	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
955	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
956	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
957	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
958	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
959	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
960	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
961	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
962	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
963	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
964	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
965	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
966	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
967	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
968	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
969	C₂²×C₄	C₂²×D₄	1	2	yes	—
970	C₂²×C₄	C₂×#41	1	2	yes	—
971	C₂²×C₄	C₂×#41	1	2	yes	—
972	C₂²×C₄	C₂×#41	1	2	yes	—
973	C₂²×C₄	C₂⁵	1	1	yes	characteristic
974	M₁₆	—	4	4	no	—
975	M₁₆	—	4	4	no	—
976	M₁₆	—	4	4	no	—
977	M₁₆	—	4	4	no	—
978	M₁₆	—	4	4	no	—
979	M₁₆	—	4	4	no	—
980	C₂×C₈	—	2	1	no	—
981	C₂×C₈	—	2	1	no	—
982	C₂×C₈	—	2	1	no	—
983	C₂×C₈	—	2	1	no	—
984	C₂×C₈	—	2	1	no	—
985	C₂×C₈	—	2	1	no	—
986	C₂×C₈	—	2	1	no	—
987	C₂×C₈	—	2	1	no	—
988	C₂×C₈	—	2	1	no	—
989	C₂×C₈	—	2	1	no	—
990	C₂×C₈	—	2	1	no	—
991	C₂×C₈	—	2	1	no	—
992	C₂×C₈	—	2	1	no	—
993	C₂×C₈	—	2	1	no	—
994	C₂×C₈	—	2	1	no	—
995	C₂×C₈	—	2	1	no	—
996	C₂×C₈	—	2	1	no	—
997	C₂×C₈	—	2	1	no	—
998	C₂×C₈	—	2	1	no	—
999	C₂×C₈	—	2	1	no	—
1000	C₂×C₈	—	2	1	no	—
1001	C₂×C₈	—	2	1	no	—
1002	C₂×C₈	—	2	1	no	—
1003	C₂×C₈	—	2	1	no	—
1004	C₂×C₈	—	2	1	no	—
1005	C₂×C₈	—	2	1	no	—
1006	C₂×C₈	—	2	1	no	—
1007	C₂×C₈	—	2	1	no	—
1008	C₂×C₈	—	2	1	no	—
1009	C₂×C₈	—	2	1	no	—
1010	C₂×C₈	—	2	1	no	—
1011	C₂×C₈	—	2	1	no	—
1012	C₂×C₈	—	2	1	no	—
1013	C₂×C₈	—	2	1	no	—
1014	C₂×C₈	—	2	1	no	—
1015	C₂×C₈	—	2	1	no	—
1016	C₂×C₈	—	2	1	no	—
1017	C₂×C₈	—	2	1	no	—
1018	C₂×C₈	—	2	1	no	—
1019	C₂×C₈	—	2	1	no	—
1020	C₂×C₈	—	4	4	no	—
1021	C₂×C₈	—	4	4	no	—
1022	C₂×C₈	—	4	4	no	—
1023	C₂×C₈	—	4	4	no	—
1024	C₂×C₈	—	4	4	no	—
1025	C₂×C₈	—	4	4	no	—
1026	C₂×C₈	C₂²×D₄	1	2	yes	—
1027	C₂×C₈	C₂²×D₄	1	2	yes	—
1028	C₂×C₈	C₂²×D₄	1	2	yes	—
1029	C₂×C₈	C₂²×D₄	1	2	yes	—
1030	C₂×C₈	C₂×#41	1	2	yes	—
1031	C₂×C₈	C₂×#41	1	2	yes	—
1032	C₂×C₈	C₂×#41	1	2	yes	—
1033	C₂×C₈	C₂×#41	1	2	yes	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	2	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	—	2	2	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	4	1	no	—
1053	C₄⋊C₄	—	4	1	no	—
1054	C₄⋊C₄	—	4	1	no	—
1055	C₄⋊C₄	—	4	1	no	—
1056	C₄⋊C₄	—	4	1	no	—
1057	C₄⋊C₄	—	4	1	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	—	2	2	no	—
1071	C₂²⋊C₄	—	2	2	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	—	2	2	no	—
1074	C₂²⋊C₄	—	2	2	no	—
1075	C₂²⋊C₄	—	2	2	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	4	1	no	—
1087	C₂²⋊C₄	—	4	1	no	—
1088	C₂²⋊C₄	—	4	1	no	—
1089	C₂²⋊C₄	—	4	1	no	—
1090	C₂²⋊C₄	—	4	1	no	—
1091	C₂²⋊C₄	—	4	1	no	—
1092	C₂²⋊C₄	—	4	1	no	—
1093	C₂²⋊C₄	—	4	1	no	—
1094	C₂²⋊C₄	—	4	1	no	—
1095	C₂²⋊C₄	—	4	1	no	—
1096	C₂²⋊C₄	—	4	1	no	—
1097	C₂²⋊C₄	—	4	1	no	—
1098	C₂²⋊C₄	—	4	1	no	—
1099	C₂²⋊C₄	—	4	1	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	—	4	1	no	—
1106	C₂²⋊C₄	—	4	1	no	—
1107	C₂²⋊C₄	—	4	1	no	—
1108	C₂²⋊C₄	—	4	1	no	—
1109	C₂²⋊C₄	—	4	1	no	—
1110	C₄²	—	2	2	no	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	2	no	—
1113	C₄²	—	2	2	no	—
1114	C₄²	—	2	1	no	—
1115	C₄²	—	2	1	no	—
1116	C₄²	—	2	1	no	—
1117	C₄²	—	2	1	no	—
1118	C₄²	—	2	1	no	—
1119	C₄²	—	2	1	no	—
1120	C₄²	—	2	1	no	—
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	2	1	no	—
1124	C₄²	—	2	1	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	2	1	no	—
1127	C₄²	—	2	1	no	—
1128	C₄²	—	2	1	no	—
1129	C₄²	—	2	1	no	—
1130	C₄²	C₄×D₄	1	4	yes	—
1131	C₄²	C₄×D₄	1	4	yes	—
1132	C₄²	C₂²×D₄	1	2	yes	—
1133	C₄²	C₂²×D₄	1	2	yes	—
1134	C₄²	C₂×#41	1	2	yes	—
1135	C₄²	C₂×#41	1	2	yes	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	C₂×C₄×D₄	1	2	yes	—
1170	C₂³	C₄×#41	1	2	yes	—
1171	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1172	Q₈	—	4	4	no	—
1173	Q₈	—	4	4	no	—
1174	D₄	—	4	4	no	—
1175	D₄	—	4	4	no	—
1176	D₄	—	4	4	no	—
1177	D₄	—	4	4	no	—
1178	D₄	—	4	4	no	—
1179	D₄	—	4	4	no	—
1180	D₄	—	4	4	no	—
1181	D₄	—	8	2	no	—
1182	D₄	—	8	2	no	—
1183	D₄	—	8	2	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	4	4	no	—
1262	C₂×C₄	—	4	4	no	—
1263	C₂×C₄	—	4	1	no	—
1264	C₂×C₄	—	4	1	no	—
1265	C₂×C₄	—	4	1	no	—
1266	C₂×C₄	—	4	1	no	—
1267	C₂×C₄	—	4	1	no	—
1268	C₂×C₄	—	4	1	no	—
1269	C₂×C₄	—	4	1	no	—
1270	C₂×C₄	—	4	1	no	—
1271	C₂×C₄	—	4	1	no	—
1272	C₂×C₄	—	4	1	no	—
1273	C₂×C₄	—	4	1	no	—
1274	C₂×C₄	—	4	1	no	—
1275	C₂×C₄	—	8	2	no	—
1276	C₂×C₄	—	8	2	no	—
1277	C₂×C₄	—	8	2	no	—
1278	C₂×C₄	—	8	2	no	—
1279	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1280	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1281	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1282	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1283	C₂×C₄	C₂×C₄×D₄	1	2	yes	—
1284	C₂×C₄	C₄×#41	1	2	yes	—
1285	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1286	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1287	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1288	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1289	C₂×C₄	#585	1	1	yes	characteristic
1290	C₂×C₄	#585	1	1	yes	characteristic
1291	C₈	—	2	2	no	—
1292	C₈	—	2	2	no	—
1293	C₈	—	2	2	no	—
1294	C₈	—	2	2	no	—
1295	C₈	—	2	2	no	—
1296	C₈	—	2	2	no	—
1297	C₈	—	2	2	no	—
1298	C₈	—	2	2	no	—
1299	C₈	—	4	1	no	—
1300	C₈	—	4	1	no	—
1301	C₈	—	4	1	no	—
1302	C₈	—	4	1	no	—
1303	C₈	—	4	1	no	—
1304	C₈	—	4	1	no	—
1305	C₈	—	4	1	no	—
1306	C₈	—	4	1	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	2	2	no	—
1312	C₂²	—	2	2	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	4	1	no	—
1316	C₂²	—	4	1	no	—
1317	C₂²	—	4	1	no	—
1318	C₂²	—	4	1	no	—
1319	C₂²	—	4	1	no	—
1320	C₂²	—	4	1	no	—
1321	C₂²	—	4	1	no	—
1322	C₂²	—	4	1	no	—
1323	C₂²	—	4	1	no	—
1324	C₂²	—	4	1	no	—
1325	C₂²	—	4	1	no	—
1326	C₂²	—	4	1	no	—
1327	C₂²	—	4	1	no	—
1328	C₂²	—	4	1	no	—
1329	C₂²	—	4	1	no	—
1330	C₂²	—	4	1	no	—
1331	C₂²	—	4	1	no	—
1332	C₂²	—	4	1	no	—
1333	C₂²	—	4	1	no	—
1334	C₂²	—	4	1	no	—
1335	C₂²	—	4	1	no	—
1336	C₂²	—	4	1	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1343	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1344	C₂²	#3428	1	1	yes	characteristic
1345	C₂²	#3573	1	1	yes	characteristic
1346	C₂²	#3573	1	1	yes	characteristic
1347	C₂²	#3573	1	1	yes	characteristic
1348	C₂²	#3573	1	1	yes	characteristic
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	2	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₄	—	4	1	no	—
1358	C₄	—	4	1	no	—
1359	C₄	—	4	1	no	—
1360	C₄	—	4	1	no	—
1361	C₄	—	4	1	no	—
1362	C₄	—	4	1	no	—
1363	C₄	—	4	1	no	—
1364	C₄	—	4	1	no	—
1365	C₄	—	4	1	no	—
1366	C₄	—	4	1	no	—
1367	C₄	—	4	1	no	—
1368	C₄	—	4	1	no	—
1369	C₄	—	4	1	no	—
1370	C₄	—	4	1	no	—
1371	C₄	—	4	1	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	D₄×#41	1	1	yes	characteristic
1375	C₄	D₄×#41	1	1	yes	characteristic
1376	C₄	#3475	1	1	yes	characteristic
1377	C₄	#3475	1	1	yes	characteristic
1378	C₂	—	4	2	no	—
1379	C₂	—	4	2	no	—
1380	C₂	—	8	1	no	—
1381	C₂	—	8	1	no	—
1382	C₂	—	8	1	no	—
1383	C₂	#34136	1	1	yes	characteristic
1384	C₂	#60142	1	1	yes	characteristic
1385	C₂	#60142	1	1	yes	characteristic
1386	C₂	#60206	1	1	yes	characteristic
1387	C₂	#60212	1	1	yes	characteristic
1388	C₂	#60296	1	1	yes	characteristic
1389	C₂	#60297	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	#34636	C₂
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
1. C₂×#2966	C₂	semidirect
2. C₂×#2923	C₂	semidirect
4. #23092	C₂	semidirect
5. #23089	C₂	semidirect
6. #23059	C₂	semidirect
7. #23056	C₂	semidirect
8. #22994	C₂	semidirect
9. #22991	C₂	semidirect
10. #22961	C₂	semidirect
11. #22958	C₂	semidirect
12. #22911	C₂	semidirect
13. #22909	C₂	semidirect
14. #22903	C₂	semidirect
15. #22901	C₂	semidirect
16. #22849	C₂	semidirect
17. #22847	C₂	semidirect
18. #22845	C₂	semidirect
19. #22843	C₂	semidirect
20. #21376	C₂	semidirect
21. #21351	C₂	semidirect
22. #21273	C₂	semidirect
23. #21273	C₂	semidirect
24. #21112	C₂	semidirect
25. #21112	C₂	semidirect
26. #21106	C₂	semidirect
27. #21105	C₂	semidirect
28. #20493	C₂	semidirect
29. #20490	C₂	semidirect
30. #20477	C₂	semidirect
31. C₄×#408	C₂	semidirect
275. #432	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#2966	2
C₂×#2923	2
#34636	2
#23092	2
#23089	2
#23059	2
#23056	2
#22994	2
#22991	2
#22961	2
#22958	2
#22911	2
#22909	2
#22903	2
#22901	2
#22849	2
#22847	2
#22845	2
#22843	2
#21376	2
#21351	2
#21273	2
#21112	2
#21106	2
#21105	2
#20493	2
#20490	2
#20477	2
C₄×#408	2