Subgroups — #6385291

Order 512.

1604 conjugacy classes of subgroups.

The subgroup lattice has 1285 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#52178	C₂	1	1	yes	maximal, characteristic
2	#23301	C₂	1	1	yes	maximal, characteristic, complemented
3	#23290	C₂	1	1	yes	maximal, characteristic, complemented
4	#23286	C₂	1	1	yes	maximal, characteristic, complemented
5	#23275	C₂	1	1	yes	maximal, characteristic, complemented
6	#23246	C₂	1	1	yes	maximal, characteristic, complemented
7	#23244	C₂	1	1	yes	maximal, characteristic, complemented
8	#22905	C₂	1	1	yes	maximal, characteristic, complemented
9	#22901	C₂	1	1	yes	maximal, characteristic, complemented
10	#22846	C₂	1	1	yes	maximal, characteristic
11	#22790	C₂	1	1	yes	maximal, characteristic, complemented
12	#22790	C₂	1	1	yes	maximal, characteristic, complemented
13	#22598	C₂	1	1	yes	maximal, characteristic, complemented
14	#22597	C₂	1	1	yes	maximal, characteristic, complemented
15	#22559	C₂	1	1	yes	maximal, characteristic, complemented
16	#22558	C₂	1	1	yes	maximal, characteristic, complemented
17	#21667	C₂	1	1	yes	maximal, characteristic, complemented
18	#21666	C₂	1	1	yes	maximal, characteristic, complemented
19	#21636	C₂	1	1	yes	maximal, characteristic, complemented
20	#21606	C₂	1	1	yes	maximal, characteristic, complemented
21	#21605	C₂	1	1	yes	maximal, characteristic, complemented
22	#21571	C₂	1	1	yes	maximal, characteristic, complemented
23	#21571	C₂	1	1	yes	maximal, characteristic, complemented
24	#21569	C₂	1	1	yes	maximal, characteristic, complemented
25	#21441	C₂	1	1	yes	maximal, characteristic
26	#20492	C₂	1	1	yes	maximal, characteristic, complemented
27	#20485	C₂	1	1	yes	maximal, characteristic, complemented
28	#20475	C₂	1	1	yes	maximal, characteristic, complemented
29	#20474	C₂	1	1	yes	maximal, characteristic, complemented
30	#20389	C₂	1	1	yes	maximal, characteristic, complemented
31	#20386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×M₁₆	C₂²	1	1	yes	characteristic
33	C₂×#446	C₂²	1	1	yes	characteristic, complemented
34	C₂×#436	C₂²	1	1	yes	characteristic
35	C₂×#436	C₂²	1	1	yes	characteristic
36	C₂×#435	C₂²	1	1	yes	characteristic
37	C₂×#435	C₂²	1	1	yes	characteristic
38	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
39	C₂×#433	C₂²	1	1	yes	characteristic
40	C₂×#433	C₂²	1	1	yes	characteristic
41	C₂×#407	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₂×#405	C₂²	1	1	yes	characteristic
44	C₂×#405	C₂²	1	1	yes	characteristic
45	C₂×#405	C₂²	1	1	yes	characteristic
46	C₂×#405	C₂²	1	1	yes	characteristic
47	C₂×#405	C₂²	1	1	yes	characteristic, complemented
48	#2742	C₄	1	1	yes	characteristic
49	#2741	C₄	1	1	yes	characteristic
50	#2741	C₄	1	1	yes	characteristic
51	#2740	C₄	1	1	yes	characteristic
52	#2740	C₄	1	1	yes	characteristic
53	#2739	C₄	1	1	yes	characteristic
54	#2739	C₄	1	1	yes	characteristic
55	#2738	C₄	1	1	yes	characteristic
56	#2738	C₄	1	1	yes	characteristic
57	#2737	C₄	1	1	yes	characteristic
58	#2737	C₄	1	1	yes	characteristic
59	#2736	C₄	1	1	yes	characteristic
60	#2735	C₄	1	1	yes	characteristic
61	#2722	C₄	1	1	yes	characteristic
62	#2685	C₄	1	1	yes	characteristic
63	#2685	C₄	1	1	yes	characteristic
64	#2398	C₂²	1	1	yes	characteristic
65	#2396	C₂²	1	1	yes	characteristic
66	#2396	C₂²	1	1	yes	characteristic
67	#2395	C₂²	1	1	yes	characteristic
68	#2395	C₂²	1	1	yes	characteristic
69	#2395	C₂²	1	1	yes	characteristic
70	C₄×#126	C₂²	1	1	yes	characteristic
71	C₄×#126	C₂²	1	1	yes	characteristic
72	C₄×#120	C₂²	1	1	yes	characteristic
73	#2298	C₂²	1	1	yes	characteristic
74	#2298	C₂²	1	1	yes	characteristic
75	#2293	C₂²	1	1	yes	characteristic
76	#2293	C₂²	1	1	yes	characteristic
77	#2280	C₂²	1	1	yes	characteristic
78	#2280	C₂²	1	1	yes	characteristic
79	#1985	C₂²	1	1	yes	characteristic, complemented
80	#1984	C₂²	1	1	yes	characteristic, complemented
81	#1984	C₂²	1	1	yes	characteristic, complemented
82	#1955	C₂²	1	1	yes	characteristic
83	#1939	C₂²	1	1	yes	characteristic, complemented
84	#1939	C₂²	1	1	yes	characteristic, complemented
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, complemented
91	#1924	C₂²	1	1	yes	characteristic, complemented
92	#1924	C₂²	1	1	yes	characteristic, complemented
93	#1924	C₂²	1	1	yes	characteristic, complemented
94	#1924	C₂²	1	1	yes	characteristic, complemented
95	#1923	C₂²	1	1	yes	characteristic
96	#1923	C₂²	1	1	yes	characteristic
97	#1923	C₂²	1	1	yes	characteristic
98	#1923	C₂²	1	1	yes	characteristic
99	#1923	C₂²	1	1	yes	characteristic
100	#1923	C₂²	1	1	yes	characteristic, complemented
101	#1917	C₂²	1	1	yes	characteristic, complemented
102	#1917	C₂²	1	1	yes	characteristic, complemented
103	#1917	C₂²	1	1	yes	characteristic, complemented
104	#1917	C₂²	1	1	yes	characteristic, complemented
105	#1917	C₂²	1	1	yes	characteristic, complemented
106	#1917	C₂²	1	1	yes	characteristic, complemented
107	#1917	C₂²	1	1	yes	characteristic, complemented
108	#1917	C₂²	1	1	yes	characteristic, complemented
109	#1916	C₂²	1	1	yes	characteristic, complemented
110	#1916	C₂²	1	1	yes	characteristic, complemented
111	#1916	C₂²	1	1	yes	characteristic, complemented
112	#1916	C₂²	1	1	yes	characteristic, complemented
113	#1916	C₂²	1	1	yes	characteristic, complemented
114	#1916	C₂²	1	1	yes	characteristic, complemented
115	#1916	C₂²	1	1	yes	characteristic, complemented
116	#1916	C₂²	1	1	yes	characteristic, complemented
117	#1870	C₂²	1	1	yes	characteristic
118	#1870	C₂²	1	1	yes	characteristic
119	#1870	C₂²	1	1	yes	characteristic
120	#1869	C₂²	1	1	yes	characteristic
121	#1869	C₂²	1	1	yes	characteristic
122	#1869	C₂²	1	1	yes	characteristic
123	#1851	C₂²	1	1	yes	characteristic
124	#1851	C₂²	1	1	yes	characteristic
125	#1851	C₂²	1	1	yes	characteristic
126	#1851	C₂²	1	1	yes	characteristic
127	#1851	C₂²	1	1	yes	characteristic
128	#1850	C₂²	1	1	yes	characteristic
129	#1850	C₂²	1	1	yes	characteristic
130	#1850	C₂²	1	1	yes	characteristic
131	#1850	C₂²	1	1	yes	characteristic
132	#1850	C₂²	1	1	yes	characteristic, complemented
133	#1839	C₂²	1	1	yes	characteristic, complemented
134	#1839	C₂²	1	1	yes	characteristic, complemented
135	#1832	C₂²	1	1	yes	characteristic, complemented
136	#1818	C₂²	1	1	yes	characteristic
137	#1818	C₂²	1	1	yes	characteristic
138	#1818	C₂²	1	1	yes	characteristic, complemented
139	#1798	C₂²	1	1	yes	characteristic
140	#1798	C₂²	1	1	yes	characteristic
141	#1779	C₂²	1	1	yes	characteristic
142	#1771	C₂²	1	1	yes	characteristic, complemented
143	#1771	C₂²	1	1	yes	characteristic, complemented
144	#1771	C₂²	1	1	yes	characteristic, complemented
145	#1771	C₂²	1	1	yes	characteristic, complemented
146	#1771	C₂²	1	1	yes	characteristic, complemented
147	#1771	C₂²	1	1	yes	characteristic, complemented
148	#1771	C₂²	1	1	yes	characteristic, complemented
149	#1771	C₂²	1	1	yes	characteristic, complemented
150	#1770	C₂²	1	1	yes	characteristic, complemented
151	#1770	C₂²	1	1	yes	characteristic, complemented
152	#1770	C₂²	1	1	yes	characteristic, complemented
153	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	#1767	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
158	#1753	C₂²	1	1	yes	characteristic
159	#1753	C₂²	1	1	yes	characteristic
160	#1753	C₂²	1	1	yes	characteristic
161	#1753	C₂²	1	1	yes	characteristic
162	#1753	C₂²	1	1	yes	characteristic
163	#1753	C₂²	1	1	yes	characteristic
164	#1753	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	#1753	C₂²	1	1	yes	characteristic
170	#1753	C₂²	1	1	yes	characteristic
171	#1753	C₂²	1	1	yes	characteristic
172	#1753	C₂²	1	1	yes	characteristic
173	#1753	C₂²	1	1	yes	characteristic
174	#1753	C₂²	1	1	yes	characteristic
175	#1753	C₂²	1	1	yes	characteristic, complemented
176	#1753	C₂²	1	1	yes	characteristic, complemented
177	#1753	C₂²	1	1	yes	characteristic, complemented
178	#1752	C₂²	1	1	yes	characteristic
179	#1752	C₂²	1	1	yes	characteristic
180	#1752	C₂²	1	1	yes	characteristic
181	#1752	C₂²	1	1	yes	characteristic
182	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	#1750	C₂²	1	1	yes	characteristic
189	#1750	C₂²	1	1	yes	characteristic
190	#1750	C₂²	1	1	yes	characteristic, complemented
191	#1750	C₂²	1	1	yes	characteristic, complemented
192	#1746	C₂²	1	1	yes	characteristic, complemented
193	#1746	C₂²	1	1	yes	characteristic, complemented
194	#1745	C₂²	1	1	yes	characteristic, complemented
195	#1745	C₂²	1	1	yes	characteristic, complemented
196	#1729	C₂²	1	1	yes	characteristic
197	#1729	C₂²	1	1	yes	characteristic
198	#1729	C₂²	1	1	yes	characteristic
199	#1729	C₂²	1	1	yes	characteristic
200	#1726	C₂²	1	1	yes	characteristic, complemented
201	C₄×#97	C₂²	1	1	yes	characteristic, complemented
202	C₄²×C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×C₄	C₂³	1	1	yes	characteristic
204	C₂²×M₁₆	—	2	4	no	—
205	C₂²×M₁₆	—	2	4	no	—
206	C₂²×M₁₆	—	4	2	no	—
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	C₂²×M₁₆	C₂³	1	1	yes	characteristic
213	C₂²×M₁₆	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	C₂³×C₈	C₂³	1	1	yes	characteristic
219	C₂×#126	C₂×C₄	1	1	yes	characteristic
220	C₂×#126	C₂×C₄	1	1	yes	characteristic
221	C₂×#120	C₂×C₄	1	1	yes	characteristic
222	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
226	C₂×#117	C₂³	1	1	yes	characteristic
227	C₂×#117	C₂³	1	1	yes	characteristic
228	C₂×#117	C₂³	1	1	yes	characteristic
229	C₂×#117	C₂³	1	1	yes	characteristic
230	C₂×#117	C₂³	1	1	yes	characteristic
231	#446	—	4	2	no	—
232	#436	—	2	4	no	—
233	#436	—	4	2	no	—
234	#435	—	2	4	no	—
235	#435	—	2	4	no	—
236	C₈×D₄	—	2	4	no	—
237	#433	—	2	4	no	—
238	#433	—	2	4	no	—
239	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
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	#407	—	2	4	no	—
254	C₂×C₂²⋊C₈	—	2	4	no	—
255	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#405	—	2	4	no	—
276	#405	—	2	4	no	—
277	#405	—	4	2	no	—
278	#405	—	4	2	no	—
279	#405	—	4	2	no	—
280	C₂×#97	C₂³	1	1	yes	characteristic
281	C₂×#97	C₂³	1	1	yes	characteristic
282	C₂×#97	C₂³	1	1	yes	characteristic
283	C₂×#97	C₂³	1	1	yes	characteristic
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×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×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	#400	C₂×C₄	1	1	yes	characteristic
311	#400	C₂×C₄	1	1	yes	characteristic
312	#400	C₂×C₄	1	1	yes	characteristic
313	#400	C₂×C₄	1	1	yes	characteristic
314	#400	C₂×C₄	1	1	yes	characteristic
315	#400	C₂×C₄	1	1	yes	characteristic
316	#400	C₂×C₄	1	1	yes	characteristic
317	#399	C₂×C₄	1	1	yes	characteristic
318	#399	C₂×C₄	1	1	yes	characteristic
319	#399	C₂×C₄	1	1	yes	characteristic
320	#399	C₂×C₄	1	1	yes	characteristic
321	#399	C₂×C₄	1	1	yes	characteristic
322	#398	C₂×C₄	1	1	yes	characteristic
323	#398	C₂×C₄	1	1	yes	characteristic
324	#398	C₂×C₄	1	1	yes	characteristic
325	#398	C₂×C₄	1	1	yes	characteristic
326	#398	C₂×C₄	1	1	yes	characteristic
327	#398	C₂×C₄	1	1	yes	characteristic
328	#398	C₂×C₄	1	1	yes	characteristic
329	#397	C₂×C₄	1	1	yes	characteristic
330	#397	C₂×C₄	1	1	yes	characteristic
331	#397	C₂×C₄	1	1	yes	characteristic
332	#397	C₂×C₄	1	1	yes	characteristic
333	#397	C₂×C₄	1	1	yes	characteristic
334	#397	C₂×C₄	1	1	yes	characteristic
335	#397	C₂×C₄	1	1	yes	characteristic
336	#397	C₂×C₄	1	1	yes	characteristic
337	#397	C₂×C₄	1	1	yes	characteristic
338	#397	C₂×C₄	1	1	yes	characteristic
339	#397	C₂×C₄	1	1	yes	characteristic
340	#396	C₂×C₄	1	1	yes	characteristic
341	#396	C₂×C₄	1	1	yes	characteristic
342	#396	C₂×C₄	1	1	yes	characteristic
343	#396	C₂×C₄	1	1	yes	characteristic
344	#395	C₂×C₄	1	1	yes	characteristic
345	#395	C₂×C₄	1	1	yes	characteristic
346	#394	C₂×C₄	1	1	yes	characteristic
347	#394	C₂×C₄	1	1	yes	characteristic
348	#394	C₂×C₄	1	1	yes	characteristic
349	#394	C₂×C₄	1	1	yes	characteristic
350	#394	C₂×C₄	1	1	yes	characteristic
351	#394	C₂×C₄	1	1	yes	characteristic
352	#394	C₂×C₄	1	1	yes	characteristic
353	#394	C₂×C₄	1	1	yes	characteristic
354	#393	C₂×C₄	1	1	yes	characteristic
355	#393	C₂×C₄	1	1	yes	characteristic
356	#393	C₂×C₄	1	1	yes	characteristic
357	#393	C₂×C₄	1	1	yes	characteristic
358	#390	C₂×C₄	1	1	yes	characteristic
359	#390	C₂×C₄	1	1	yes	characteristic
360	#390	C₂×C₄	1	1	yes	characteristic
361	#390	C₂×C₄	1	1	yes	characteristic
362	#389	C₂×C₄	1	1	yes	characteristic
363	#389	C₂×C₄	1	1	yes	characteristic
364	#389	C₂×C₄	1	1	yes	characteristic
365	#389	C₂×C₄	1	1	yes	characteristic
366	#388	C₂×C₄	1	1	yes	characteristic
367	#388	C₂×C₄	1	1	yes	characteristic
368	#388	C₂×C₄	1	1	yes	characteristic
369	#388	C₂×C₄	1	1	yes	characteristic
370	#388	C₂×C₄	1	1	yes	characteristic
371	#388	C₂×C₄	1	1	yes	characteristic
372	#388	C₂×C₄	1	1	yes	characteristic
373	#388	C₂×C₄	1	1	yes	characteristic
374	#388	C₂×C₄	1	1	yes	characteristic
375	#388	C₂×C₄	1	1	yes	characteristic
376	#388	C₂×C₄	1	1	yes	characteristic
377	#388	C₂×C₄	1	1	yes	characteristic
378	#388	C₂×C₄	1	1	yes	characteristic
379	#388	C₂×C₄	1	1	yes	characteristic
380	#388	C₂×C₄	1	1	yes	characteristic
381	#388	C₂×C₄	1	1	yes	characteristic
382	#388	C₂×C₄	1	1	yes	characteristic
383	#388	C₂×C₄	1	1	yes	characteristic
384	#388	C₂×C₄	1	1	yes	characteristic
385	#388	C₂×C₄	1	1	yes	characteristic
386	#388	C₂×C₄	1	1	yes	characteristic
387	#388	C₂×C₄	1	1	yes	characteristic
388	#387	C₂×C₄	1	1	yes	characteristic
389	#387	C₂×C₄	1	1	yes	characteristic
390	#387	C₂×C₄	1	1	yes	characteristic
391	#387	C₂×C₄	1	1	yes	characteristic
392	#387	C₂×C₄	1	1	yes	characteristic
393	#387	C₂×C₄	1	1	yes	characteristic
394	#387	C₂×C₄	1	1	yes	characteristic
395	#387	C₂×C₄	1	1	yes	characteristic
396	#387	C₂×C₄	1	1	yes	characteristic
397	#387	C₂×C₄	1	1	yes	characteristic
398	#387	C₂×C₄	1	1	yes	characteristic
399	#387	C₂×C₄	1	1	yes	characteristic
400	#387	C₂×C₄	1	1	yes	characteristic
401	#387	C₂×C₄	1	1	yes	characteristic
402	#386	C₂×C₄	1	1	yes	characteristic
403	#386	C₂×C₄	1	1	yes	characteristic
404	#386	C₂×C₄	1	1	yes	characteristic
405	#385	C₂×C₄	1	1	yes	characteristic
406	#385	C₂×C₄	1	1	yes	characteristic
407	#385	C₂×C₄	1	1	yes	characteristic
408	#383	C₂×C₄	1	1	yes	characteristic
409	#383	C₂×C₄	1	1	yes	characteristic
410	#381	C₂×C₄	1	1	yes	characteristic
411	#381	C₂×C₄	1	1	yes	characteristic
412	#381	C₂×C₄	1	1	yes	characteristic
413	#381	C₂×C₄	1	1	yes	characteristic
414	#380	C₂×C₄	1	1	yes	characteristic
415	#380	C₂×C₄	1	1	yes	characteristic
416	#380	C₂×C₄	1	1	yes	characteristic
417	#380	C₂×C₄	1	1	yes	characteristic
418	#380	C₂×C₄	1	1	yes	characteristic
419	#380	C₂×C₄	1	1	yes	characteristic
420	#380	C₂×C₄	1	1	yes	characteristic
421	#380	C₂×C₄	1	1	yes	characteristic
422	#379	C₂×C₄	1	1	yes	characteristic
423	#379	C₂×C₄	1	1	yes	characteristic
424	#379	C₂×C₄	1	1	yes	characteristic
425	#379	C₂×C₄	1	1	yes	characteristic
426	#379	C₂×C₄	1	1	yes	characteristic
427	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
436	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
437	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
439	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
440	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
441	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
442	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
443	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
444	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
445	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
446	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
447	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
448	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	#376	C₂³	1	1	yes	characteristic
450	C₄³	C₂³	1	1	yes	characteristic
451	C₄³	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	#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	C₂⁵	C₂²×C₄	1	1	yes	characteristic
497	C₂²×Q₈	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	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂³×C₄	—	2	2	no	—
502	C₂³×C₄	—	2	2	no	—
503	C₂³×C₄	—	2	2	no	—
504	C₂³×C₄	—	2	2	no	—
505	C₂³×C₄	—	4	1	no	—
506	C₂³×C₄	—	4	1	no	—
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	C₂³×C₄	C₂⁴	1	1	yes	characteristic
514	C₂×M₁₆	—	2	2	no	—
515	C₂×M₁₆	—	2	2	no	—
516	C₂×M₁₆	—	2	2	no	—
517	C₂×M₁₆	—	2	2	no	—
518	C₂×M₁₆	—	2	2	no	—
519	C₂×M₁₆	—	2	2	no	—
520	C₂×M₁₆	—	2	2	no	—
521	C₂×M₁₆	—	2	2	no	—
522	C₂×M₁₆	—	2	2	no	—
523	C₂×M₁₆	—	2	2	no	—
524	C₂×M₁₆	—	2	2	no	—
525	C₂×M₁₆	—	2	2	no	—
526	C₂×M₁₆	—	2	2	no	—
527	C₂×M₁₆	—	2	2	no	—
528	C₂×M₁₆	—	2	2	no	—
529	C₂×M₁₆	—	2	2	no	—
530	C₂×M₁₆	—	4	1	no	—
531	C₂×M₁₆	—	4	1	no	—
532	C₂×M₁₆	—	4	1	no	—
533	C₂×M₁₆	—	4	1	no	—
534	C₂×M₁₆	—	4	16	no	—
535	C₂×M₁₆	#41	1	4	yes	—
536	C₂²×C₈	—	2	2	no	—
537	C₂²×C₈	—	2	2	no	—
538	C₂²×C₈	—	2	2	no	—
539	C₂²×C₈	—	2	2	no	—
540	C₂²×C₈	—	2	2	no	—
541	C₂²×C₈	—	2	2	no	—
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	#41	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	#126	—	4	2	no	—
568	#126	—	4	2	no	—
569	#120	—	4	2	no	—
570	C₄×Q₈	—	4	1	no	—
571	C₄×Q₈	—	4	1	no	—
572	C₄×D₄	—	2	2	no	—
573	C₄×D₄	—	2	2	no	—
574	C₄×D₄	—	2	2	no	—
575	C₄×D₄	—	2	2	no	—
576	C₄×D₄	—	4	1	no	—
577	C₄×D₄	—	4	1	no	—
578	#117	—	2	2	no	—
579	#117	—	2	2	no	—
580	#117	—	2	2	no	—
581	#117	—	2	2	no	—
582	#117	—	4	1	no	—
583	#117	—	4	1	no	—
584	#117	—	4	1	no	—
585	#117	—	4	1	no	—
586	#117	—	4	1	no	—
587	#117	—	4	1	no	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂×C₂²⋊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×C₄²	C₂²×C₄	1	1	yes	characteristic
665	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
666	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
667	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
668	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
669	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
670	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
671	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
672	C₂×C₄²	C₂⁴	1	1	yes	characteristic
673	C₂×C₄²	C₂⁴	1	1	yes	characteristic
674	C₂×C₄²	C₂⁴	1	1	yes	characteristic
675	C₂×C₄²	C₂⁴	1	1	yes	characteristic
676	C₂×C₄²	C₂⁴	1	1	yes	characteristic
677	C₂×C₄²	C₂⁴	1	1	yes	characteristic
678	C₂×C₄²	C₂⁴	1	1	yes	characteristic
679	C₂×C₄²	C₂⁴	1	1	yes	characteristic
680	C₂×C₄²	C₂⁴	1	1	yes	characteristic
681	C₂×C₄²	C₂⁴	1	1	yes	characteristic
682	C₂×C₄²	C₂⁴	1	1	yes	characteristic
683	C₄⋊C₈	—	2	2	no	—
684	C₄⋊C₈	—	2	2	no	—
685	C₄⋊C₈	—	2	2	no	—
686	C₄⋊C₈	—	2	2	no	—
687	C₄⋊C₈	—	2	2	no	—
688	C₄⋊C₈	—	2	2	no	—
689	C₄⋊C₈	—	2	2	no	—
690	C₄⋊C₈	—	2	2	no	—
691	C₄⋊C₈	—	4	1	no	—
692	C₄⋊C₈	—	4	1	no	—
693	C₄⋊C₈	—	4	1	no	—
694	C₄⋊C₈	—	4	1	no	—
695	C₄⋊C₈	—	4	1	no	—
696	C₄⋊C₈	—	4	1	no	—
697	C₂²⋊C₈	—	2	2	no	—
698	C₂²⋊C₈	—	2	2	no	—
699	C₂²⋊C₈	—	2	2	no	—
700	C₂²⋊C₈	—	2	2	no	—
701	C₂²⋊C₈	—	2	2	no	—
702	C₂²⋊C₈	—	2	2	no	—
703	C₂²⋊C₈	—	2	2	no	—
704	C₂²⋊C₈	—	2	2	no	—
705	C₂²⋊C₈	—	2	2	no	—
706	C₂²⋊C₈	—	2	2	no	—
707	C₂²⋊C₈	—	2	2	no	—
708	C₂²⋊C₈	—	2	2	no	—
709	C₂²⋊C₈	—	2	2	no	—
710	C₂²⋊C₈	—	2	2	no	—
711	C₂²⋊C₈	—	4	1	no	—
712	C₂²⋊C₈	—	4	1	no	—
713	C₂²⋊C₈	—	4	1	no	—
714	C₂²⋊C₈	—	4	1	no	—
715	C₂²⋊C₈	#41	1	4	yes	—
716	C₂²⋊C₈	#41	1	4	yes	—
717	#97	—	2	2	no	—
718	#97	—	2	2	no	—
719	#97	—	2	2	no	—
720	#97	—	2	2	no	—
721	#97	—	2	2	no	—
722	#97	—	2	2	no	—
723	#97	—	2	2	no	—
724	#97	—	2	2	no	—
725	#97	—	2	2	no	—
726	#97	—	2	2	no	—
727	#97	—	2	2	no	—
728	#97	—	4	1	no	—
729	#97	—	4	1	no	—
730	#97	—	4	1	no	—
731	#97	—	4	1	no	—
732	C₄×C₈	—	2	2	no	—
733	C₄×C₈	—	2	2	no	—
734	C₄×C₈	—	2	2	no	—
735	C₄×C₈	—	2	2	no	—
736	C₄×C₈	—	2	2	no	—
737	C₄×C₈	—	2	2	no	—
738	C₄×C₈	—	2	2	no	—
739	C₄×C₈	—	2	2	no	—
740	C₄×C₈	—	2	2	no	—
741	C₄×C₈	—	2	2	no	—
742	C₄×C₈	—	4	1	no	—
743	C₄×C₈	—	4	1	no	—
744	C₄×C₈	—	4	1	no	—
745	C₄×C₈	—	4	1	no	—
746	C₄×C₈	—	4	1	no	—
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	#95	C₂²×C₄	1	1	yes	characteristic
782	#95	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	—	2	2	no	—
796	C₂⁴	—	2	2	no	—
797	C₂⁴	—	4	1	no	—
798	C₂⁴	—	4	1	no	—
799	C₂⁴	—	4	1	no	—
800	C₂⁴	—	4	1	no	—
801	C₂⁴	—	4	1	no	—
802	C₂⁴	C₂³×C₄	1	1	yes	characteristic
803	C₂⁴	C₂³×C₄	1	1	yes	characteristic
804	C₂⁴	C₂³×C₄	1	1	yes	characteristic
805	C₂⁴	C₂³×C₄	1	1	yes	characteristic
806	C₂×Q₈	—	4	1	no	—
807	C₂×Q₈	—	4	1	no	—
808	C₂×Q₈	—	4	1	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	4	1	no	—
813	C₂×D₄	—	4	1	no	—
814	C₂×D₄	—	4	1	no	—
815	C₂×D₄	—	4	1	no	—
816	C₂×D₄	—	4	1	no	—
817	C₂×D₄	—	4	1	no	—
818	C₂²×C₄	—	2	1	no	—
819	C₂²×C₄	—	2	1	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	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	1	no	—
833	C₂²×C₄	—	2	1	no	—
834	C₂²×C₄	—	2	1	no	—
835	C₂²×C₄	—	2	1	no	—
836	C₂²×C₄	—	2	1	no	—
837	C₂²×C₄	—	2	1	no	—
838	C₂²×C₄	—	2	1	no	—
839	C₂²×C₄	—	2	1	no	—
840	C₂²×C₄	—	2	1	no	—
841	C₂²×C₄	—	2	1	no	—
842	C₂²×C₄	—	2	1	no	—
843	C₂²×C₄	—	2	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	4	no	—
848	C₂²×C₄	—	4	4	no	—
849	C₂²×C₄	—	4	4	no	—
850	C₂²×C₄	—	4	4	no	—
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	C₂³×C₄	1	1	yes	characteristic
872	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
873	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
874	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
875	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
876	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
877	C₂²×C₄	C₂×#41	1	2	yes	—
878	C₂²×C₄	C₂×#41	1	2	yes	—
879	C₂²×C₄	C₂×#41	1	2	yes	—
880	C₂²×C₄	C₂×#41	1	2	yes	—
881	C₂²×C₄	C₂⁵	1	1	yes	characteristic
882	M₁₆	—	2	8	no	—
883	M₁₆	—	4	4	no	—
884	M₁₆	—	4	4	no	—
885	M₁₆	—	4	4	no	—
886	M₁₆	—	4	4	no	—
887	M₁₆	—	4	4	no	—
888	M₁₆	—	4	4	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	8	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	—	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	—	4	4	no	—
930	C₂×C₈	—	4	4	no	—
931	C₂×C₈	—	4	4	no	—
932	C₂×C₈	—	4	4	no	—
933	C₂×C₈	C₂×#41	1	2	yes	—
934	C₂×C₈	C₂×#41	1	2	yes	—
935	C₂×C₈	C₂×#41	1	2	yes	—
936	C₂×C₈	C₂×#41	1	2	yes	—
937	C₂×C₈	C₂×#41	1	2	yes	—
938	C₂×C₈	C₂×#41	1	2	yes	—
939	C₂×C₈	C₂×#41	1	2	yes	—
940	C₂×C₈	C₂×#41	1	2	yes	—
941	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	4	1	no	—
952	C₄⋊C₄	—	4	1	no	—
953	C₄⋊C₄	—	4	1	no	—
954	C₄⋊C₄	—	4	1	no	—
955	C₄⋊C₄	—	4	1	no	—
956	C₄⋊C₄	—	4	1	no	—
957	C₄⋊C₄	—	4	1	no	—
958	C₄⋊C₄	—	4	1	no	—
959	C₄⋊C₄	—	4	1	no	—
960	C₄⋊C₄	—	4	1	no	—
961	C₄⋊C₄	—	4	1	no	—
962	C₄⋊C₄	—	4	1	no	—
963	C₄⋊C₄	—	4	1	no	—
964	C₄⋊C₄	—	4	1	no	—
965	C₄⋊C₄	—	4	1	no	—
966	C₄⋊C₄	—	4	1	no	—
967	C₄⋊C₄	—	4	1	no	—
968	C₄⋊C₄	—	4	1	no	—
969	C₄⋊C₄	—	4	1	no	—
970	C₄⋊C₄	—	4	1	no	—
971	C₄⋊C₄	—	4	1	no	—
972	C₄⋊C₄	—	4	1	no	—
973	C₄⋊C₄	—	4	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	4	1	no	—
985	C₂²⋊C₄	—	4	1	no	—
986	C₂²⋊C₄	—	4	1	no	—
987	C₂²⋊C₄	—	4	1	no	—
988	C₂²⋊C₄	—	4	1	no	—
989	C₂²⋊C₄	—	4	1	no	—
990	C₂²⋊C₄	—	4	1	no	—
991	C₂²⋊C₄	—	4	1	no	—
992	C₂²⋊C₄	—	4	1	no	—
993	C₂²⋊C₄	—	4	1	no	—
994	C₂²⋊C₄	—	4	1	no	—
995	C₂²⋊C₄	—	4	1	no	—
996	C₂²⋊C₄	—	4	1	no	—
997	C₂²⋊C₄	—	4	1	no	—
998	C₂²⋊C₄	—	4	1	no	—
999	C₂²⋊C₄	—	4	1	no	—
1000	C₂²⋊C₄	—	4	1	no	—
1001	C₂²⋊C₄	—	4	1	no	—
1002	C₂²⋊C₄	—	4	1	no	—
1003	C₂²⋊C₄	—	4	1	no	—
1004	C₂²⋊C₄	—	4	1	no	—
1005	C₂²⋊C₄	—	4	1	no	—
1006	C₂²⋊C₄	—	4	1	no	—
1007	C₂²⋊C₄	—	4	1	no	—
1008	C₂²⋊C₄	—	4	1	no	—
1009	C₂²⋊C₄	—	4	1	no	—
1010	C₂²⋊C₄	—	4	1	no	—
1011	C₂²⋊C₄	—	4	1	no	—
1012	C₂²⋊C₄	—	4	1	no	—
1013	C₂²⋊C₄	—	4	1	no	—
1014	C₂²⋊C₄	—	4	1	no	—
1015	C₂²⋊C₄	—	4	1	no	—
1016	C₂²⋊C₄	—	4	1	no	—
1017	C₂²⋊C₄	—	4	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	1	no	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	—	2	1	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	4	1	no	—
1042	C₄²	—	4	1	no	—
1043	C₄²	—	4	1	no	—
1044	C₄²	—	4	1	no	—
1045	C₄²	—	4	1	no	—
1046	C₄²	—	4	1	no	—
1047	C₄²	—	4	1	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	2	1	no	—
1051	C₂³	—	2	1	no	—
1052	C₂³	—	2	1	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	2	1	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	4	4	no	—
1075	C₂³	—	4	4	no	—
1076	C₂³	—	8	2	no	—
1077	C₂³	—	8	2	no	—
1078	C₂³	—	8	2	no	—
1079	C₂³	—	8	2	no	—
1080	C₂³	—	8	2	no	—
1081	C₂³	C₄×#41	1	2	yes	—
1082	C₂³	C₄×#41	1	2	yes	—
1083	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1084	Q₈	—	8	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	2	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	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	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	—	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	—	4	4	no	—
1172	C₂×C₄	—	4	4	no	—
1173	C₂×C₄	—	4	4	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	C₄×#41	1	2	yes	—
1183	C₂×C₄	C₄×#41	1	2	yes	—
1184	C₂×C₄	#568	1	2	yes	—
1185	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1186	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1187	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1188	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1189	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1190	C₂×C₄	#585	1	1	yes	characteristic
1191	C₈	—	2	2	no	—
1192	C₈	—	2	2	no	—
1193	C₈	—	2	2	no	—
1194	C₈	—	2	2	no	—
1195	C₈	—	2	2	no	—
1196	C₈	—	2	2	no	—
1197	C₈	—	4	1	no	—
1198	C₈	—	4	1	no	—
1199	C₈	—	4	1	no	—
1200	C₈	—	4	1	no	—
1201	C₈	—	4	1	no	—
1202	C₈	—	4	1	no	—
1203	C₈	—	4	1	no	—
1204	C₈	—	4	1	no	—
1205	C₈	—	4	1	no	—
1206	C₈	#551	1	4	yes	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	2	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	2	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	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	—	8	8	no	—
1236	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1237	C₂²	C₂×C₄×#41	1	1	yes	characteristic
1238	C₂²	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂²	C₂×#568	1	1	yes	characteristic
1240	C₂²	#3573	1	1	yes	characteristic
1241	C₂²	#3573	1	1	yes	characteristic
1242	C₂²	#3573	1	1	yes	characteristic
1243	C₄	—	2	2	no	—
1244	C₄	—	2	2	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	4	1	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	1	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	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	C₂×#551	1	1	yes	characteristic
1270	C₄	#3475	1	1	yes	characteristic
1271	C₄	#3475	1	1	yes	characteristic
1272	C₄	#3481	1	1	yes	characteristic
1273	C₂	—	4	2	no	—
1274	C₂	—	4	2	no	—
1275	C₂	—	8	1	no	—
1276	C₂	—	8	1	no	—
1277	C₂	C₄×#551	1	1	yes	characteristic
1278	C₂	#60206	1	1	yes	characteristic
1279	C₂	#60212	1	1	yes	characteristic
1280	C₂	#60216	1	1	yes	characteristic
1281	C₂	#60217	1	1	yes	characteristic
1282	C₂	#60326	1	1	yes	characteristic
1283	C₂	#60327	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#120	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. #23301	C₂	semidirect
3. #23290	C₂	semidirect
4. #23286	C₂	semidirect
5. #23275	C₂	semidirect
6. #23246	C₂	semidirect
7. #23244	C₂	semidirect
8. #22905	C₂	semidirect
9. #22901	C₂	semidirect
11. #22790	C₂	semidirect
12. #22790	C₂	semidirect
13. #22598	C₂	semidirect
14. #22597	C₂	semidirect
15. #22559	C₂	semidirect
16. #22558	C₂	semidirect
17. #21667	C₂	semidirect
18. #21666	C₂	semidirect
19. #21636	C₂	semidirect
20. #21606	C₂	semidirect
21. #21605	C₂	semidirect
22. #21571	C₂	semidirect
23. #21571	C₂	semidirect
24. #21569	C₂	semidirect
26. #20492	C₂	semidirect
27. #20485	C₂	semidirect
28. #20475	C₂	semidirect
29. #20474	C₂	semidirect
30. #20389	C₂	semidirect
31. #20386	C₂	semidirect
33. C₂×#446	C₂²	semidirect
47. C₂×#405	C₂²	semidirect
79. #1985	C₂²	semidirect
80. #1984	C₂²	semidirect
81. #1984	C₂²	semidirect
83. #1939	C₂²	semidirect
84. #1939	C₂²	semidirect
90. #1924	C₂²	semidirect
91. #1924	C₂²	semidirect
92. #1924	C₂²	semidirect
93. #1924	C₂²	semidirect
94. #1924	C₂²	semidirect
100. #1923	C₂²	semidirect
101. #1917	C₂²	semidirect
102. #1917	C₂²	semidirect
103. #1917	C₂²	semidirect
104. #1917	C₂²	semidirect
105. #1917	C₂²	semidirect
106. #1917	C₂²	semidirect
107. #1917	C₂²	semidirect
108. #1917	C₂²	semidirect
109. #1916	C₂²	semidirect
110. #1916	C₂²	semidirect
111. #1916	C₂²	semidirect
112. #1916	C₂²	semidirect
113. #1916	C₂²	semidirect
114. #1916	C₂²	semidirect
115. #1916	C₂²	semidirect
116. #1916	C₂²	semidirect
132. #1850	C₂²	semidirect
133. #1839	C₂²	semidirect
134. #1839	C₂²	semidirect
135. #1832	C₂²	semidirect
138. #1818	C₂²	semidirect
142. #1771	C₂²	semidirect
143. #1771	C₂²	semidirect
144. #1771	C₂²	semidirect
145. #1771	C₂²	semidirect
146. #1771	C₂²	semidirect
147. #1771	C₂²	semidirect
148. #1771	C₂²	semidirect
149. #1771	C₂²	semidirect
150. #1770	C₂²	semidirect
151. #1770	C₂²	semidirect
152. #1770	C₂²	semidirect
153. C₈×C₄⋊C₄	C₂²	semidirect
154. C₈×C₄⋊C₄	C₂²	semidirect
155. C₈×C₄⋊C₄	C₂²	semidirect
156. #1767	C₂²	semidirect
157. C₄×C₄⋊C₈	C₂²	semidirect
175. #1753	C₂²	semidirect
176. #1753	C₂²	semidirect
177. #1753	C₂²	semidirect
186. C₈×C₂²⋊C₄	C₂²	semidirect
187. C₈×C₂²⋊C₄	C₂²	semidirect
190. #1750	C₂²	semidirect
191. #1750	C₂²	semidirect
192. #1746	C₂²	semidirect
193. #1746	C₂²	semidirect
194. #1745	C₂²	semidirect
195. #1745	C₂²	semidirect
200. #1726	C₂²	semidirect
201. C₄×#97	C₂²	semidirect
202. C₄²×C₈	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#52178	2
#23301	2
#23290	2
#23286	2
#23275	2
#23246	2
#23244	2
#22905	2
#22901	2
#22846	2
#22790	2
#22598	2
#22597	2
#22559	2
#22558	2
#21667	2
#21666	2
#21636	2
#21606	2
#21605	2
#21571	2
#21569	2
#21441	2
#20492	2
#20485	2
#20475	2
#20474	2
#20389	2
#20386	2