Subgroups — #6408182

Order 512.

1531 conjugacy classes of subgroups.

The subgroup lattice has 1358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34742	C₂	1	1	yes	maximal, characteristic
2	#23324	C₂	1	1	yes	maximal, characteristic, complemented
3	#23322	C₂	1	1	yes	maximal, characteristic, complemented
4	#23320	C₂	1	1	yes	maximal, characteristic, complemented
5	#23318	C₂	1	1	yes	maximal, characteristic, complemented
6	#23303	C₂	1	1	yes	maximal, characteristic, complemented
7	#23301	C₂	1	1	yes	maximal, characteristic, complemented
8	#23299	C₂	1	1	yes	maximal, characteristic, complemented
9	#23297	C₂	1	1	yes	maximal, characteristic, complemented
10	#22605	C₂	1	1	yes	maximal, characteristic, complemented
11	#22604	C₂	1	1	yes	maximal, characteristic, complemented
12	#22602	C₂	1	1	yes	maximal, characteristic, complemented
13	#22602	C₂	1	1	yes	maximal, characteristic, complemented
14	#22559	C₂	1	1	yes	maximal, characteristic, complemented
15	#22558	C₂	1	1	yes	maximal, characteristic, complemented
16	#22554	C₂	1	1	yes	maximal, characteristic, complemented
17	#22553	C₂	1	1	yes	maximal, characteristic, complemented
18	#22372	C₂	1	1	yes	maximal, characteristic, complemented
19	#22370	C₂	1	1	yes	maximal, characteristic, complemented
20	#22369	C₂	1	1	yes	maximal, characteristic, complemented
21	#22368	C₂	1	1	yes	maximal, characteristic, complemented
22	#22367	C₂	1	1	yes	maximal, characteristic, complemented
23	#22366	C₂	1	1	yes	maximal, characteristic, complemented
24	#22361	C₂	1	1	yes	maximal, characteristic, complemented
25	#22359	C₂	1	1	yes	maximal, characteristic, complemented
26	#21909	C₂	1	1	yes	maximal, characteristic, complemented
27	#21907	C₂	1	1	yes	maximal, characteristic, complemented
28	#21792	C₂	1	1	yes	maximal, characteristic
29	#21741	C₂	1	1	yes	maximal, characteristic
30	#20721	C₂	1	1	yes	maximal, characteristic, complemented
31	#20720	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#525	C₂²	1	1	yes	characteristic
33	C₂×C₄×#41	C₂²	1	1	yes	characteristic
34	C₂×#433	C₂²	1	1	yes	characteristic
35	C₂×#433	C₂²	1	1	yes	characteristic
36	C₂×#433	C₂²	1	1	yes	characteristic
37	C₂×#433	C₂²	1	1	yes	characteristic
38	C₂×#432	C₂²	1	1	yes	characteristic
39	C₂×#431	C₂²	1	1	yes	characteristic
40	C₂×#407	C₂²	1	1	yes	characteristic
41	C₂²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
42	#2423	C₄	1	1	yes	characteristic
43	#2423	C₄	1	1	yes	characteristic
44	#2422	C₄	1	1	yes	characteristic
45	#2422	C₄	1	1	yes	characteristic
46	#2421	C₄	1	1	yes	characteristic
47	#2421	C₄	1	1	yes	characteristic
48	#2420	C₄	1	1	yes	characteristic
49	#2420	C₄	1	1	yes	characteristic
50	#2419	C₄	1	1	yes	characteristic
51	#2419	C₄	1	1	yes	characteristic
52	#2419	C₄	1	1	yes	characteristic
53	#2419	C₄	1	1	yes	characteristic
54	#2418	C₄	1	1	yes	characteristic
55	#2418	C₄	1	1	yes	characteristic
56	#2418	C₄	1	1	yes	characteristic
57	#2418	C₄	1	1	yes	characteristic
58	#2395	C₂²	1	1	yes	characteristic
59	#2395	C₂²	1	1	yes	characteristic
60	#2395	C₂²	1	1	yes	characteristic
61	#2395	C₂²	1	1	yes	characteristic
62	C₄×#123	C₂²	1	1	yes	characteristic
63	C₄×#123	C₂²	1	1	yes	characteristic
64	C₄×#123	C₂²	1	1	yes	characteristic
65	C₄×#123	C₂²	1	1	yes	characteristic
66	#2297	C₂²	1	1	yes	characteristic
67	#2296	C₂²	1	1	yes	characteristic
68	#2285	C₂²	1	1	yes	characteristic
69	#2280	C₂²	1	1	yes	characteristic
70	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	#1955	C₂²	1	1	yes	characteristic
72	#1955	C₂²	1	1	yes	characteristic
73	#1955	C₂²	1	1	yes	characteristic
74	#1955	C₂²	1	1	yes	characteristic
75	#1954	C₂²	1	1	yes	characteristic
76	#1954	C₂²	1	1	yes	characteristic
77	#1954	C₂²	1	1	yes	characteristic
78	#1954	C₂²	1	1	yes	characteristic
79	#1940	C₂²	1	1	yes	characteristic, complemented
80	#1940	C₂²	1	1	yes	characteristic, complemented
81	#1940	C₂²	1	1	yes	characteristic, complemented
82	#1940	C₂²	1	1	yes	characteristic, complemented
83	#1940	C₂²	1	1	yes	characteristic, complemented
84	#1940	C₂²	1	1	yes	characteristic, complemented
85	#1939	C₂²	1	1	yes	characteristic, complemented
86	#1939	C₂²	1	1	yes	characteristic, complemented
87	#1924	C₂²	1	1	yes	characteristic
88	#1924	C₂²	1	1	yes	characteristic
89	#1924	C₂²	1	1	yes	characteristic
90	#1924	C₂²	1	1	yes	characteristic
91	#1924	C₂²	1	1	yes	characteristic
92	#1924	C₂²	1	1	yes	characteristic
93	#1924	C₂²	1	1	yes	characteristic
94	#1924	C₂²	1	1	yes	characteristic
95	#1924	C₂²	1	1	yes	characteristic
96	#1924	C₂²	1	1	yes	characteristic
97	#1924	C₂²	1	1	yes	characteristic, complemented
98	#1924	C₂²	1	1	yes	characteristic, complemented
99	#1924	C₂²	1	1	yes	characteristic, complemented
100	#1924	C₂²	1	1	yes	characteristic, complemented
101	#1924	C₂²	1	1	yes	characteristic, complemented
102	#1924	C₂²	1	1	yes	characteristic, complemented
103	#1924	C₂²	1	1	yes	characteristic, complemented
104	#1924	C₂²	1	1	yes	characteristic, complemented
105	#1924	C₂²	1	1	yes	characteristic, complemented
106	#1924	C₂²	1	1	yes	characteristic, complemented
107	#1924	C₂²	1	1	yes	characteristic, complemented
108	#1924	C₂²	1	1	yes	characteristic, complemented
109	#1923	C₂²	1	1	yes	characteristic
110	#1923	C₂²	1	1	yes	characteristic
111	#1923	C₂²	1	1	yes	characteristic
112	#1923	C₂²	1	1	yes	characteristic
113	#1923	C₂²	1	1	yes	characteristic
114	#1923	C₂²	1	1	yes	characteristic
115	#1923	C₂²	1	1	yes	characteristic, complemented
116	#1923	C₂²	1	1	yes	characteristic, complemented
117	#1923	C₂²	1	1	yes	characteristic, complemented
118	#1923	C₂²	1	1	yes	characteristic, complemented
119	#1917	C₂²	1	1	yes	characteristic, complemented
120	#1917	C₂²	1	1	yes	characteristic, complemented
121	#1917	C₂²	1	1	yes	characteristic, complemented
122	#1917	C₂²	1	1	yes	characteristic, complemented
123	#1917	C₂²	1	1	yes	characteristic, complemented
124	#1917	C₂²	1	1	yes	characteristic, complemented
125	#1917	C₂²	1	1	yes	characteristic, complemented
126	#1917	C₂²	1	1	yes	characteristic, complemented
127	#1916	C₂²	1	1	yes	characteristic, complemented
128	#1916	C₂²	1	1	yes	characteristic, complemented
129	#1916	C₂²	1	1	yes	characteristic, complemented
130	#1916	C₂²	1	1	yes	characteristic, complemented
131	#1916	C₂²	1	1	yes	characteristic, complemented
132	#1916	C₂²	1	1	yes	characteristic, complemented
133	#1916	C₂²	1	1	yes	characteristic, complemented
134	#1916	C₂²	1	1	yes	characteristic, complemented
135	#1870	C₂²	1	1	yes	characteristic
136	#1870	C₂²	1	1	yes	characteristic
137	#1870	C₂²	1	1	yes	characteristic
138	#1870	C₂²	1	1	yes	characteristic
139	#1869	C₂²	1	1	yes	characteristic
140	#1869	C₂²	1	1	yes	characteristic
141	#1869	C₂²	1	1	yes	characteristic
142	#1869	C₂²	1	1	yes	characteristic
143	#1851	C₂²	1	1	yes	characteristic
144	#1851	C₂²	1	1	yes	characteristic
145	#1851	C₂²	1	1	yes	characteristic
146	#1851	C₂²	1	1	yes	characteristic
147	#1850	C₂²	1	1	yes	characteristic
148	#1850	C₂²	1	1	yes	characteristic
149	#1850	C₂²	1	1	yes	characteristic
150	#1850	C₂²	1	1	yes	characteristic
151	#1818	C₂²	1	1	yes	characteristic
152	#1818	C₂²	1	1	yes	characteristic
153	#1818	C₂²	1	1	yes	characteristic
154	#1818	C₂²	1	1	yes	characteristic
155	#1817	C₂²	1	1	yes	characteristic
156	#1817	C₂²	1	1	yes	characteristic
157	#1798	C₂²	1	1	yes	characteristic
158	#1798	C₂²	1	1	yes	characteristic
159	#1798	C₂²	1	1	yes	characteristic, complemented
160	#1798	C₂²	1	1	yes	characteristic, complemented
161	#1797	C₂²	1	1	yes	characteristic
162	#1797	C₂²	1	1	yes	characteristic
163	#1797	C₂²	1	1	yes	characteristic, complemented
164	#1797	C₂²	1	1	yes	characteristic, complemented
165	#1797	C₂²	1	1	yes	characteristic, complemented
166	#1797	C₂²	1	1	yes	characteristic, complemented
167	#1797	C₂²	1	1	yes	characteristic, complemented
168	#1797	C₂²	1	1	yes	characteristic, complemented
169	#1780	C₂²	1	1	yes	characteristic
170	#1780	C₂²	1	1	yes	characteristic
171	#1780	C₂²	1	1	yes	characteristic
172	#1780	C₂²	1	1	yes	characteristic
173	#1779	C₂²	1	1	yes	characteristic
174	#1779	C₂²	1	1	yes	characteristic
175	#1771	C₂²	1	1	yes	characteristic, complemented
176	#1771	C₂²	1	1	yes	characteristic, complemented
177	#1771	C₂²	1	1	yes	characteristic, complemented
178	#1771	C₂²	1	1	yes	characteristic, complemented
179	#1771	C₂²	1	1	yes	characteristic, complemented
180	#1771	C₂²	1	1	yes	characteristic, complemented
181	#1770	C₂²	1	1	yes	characteristic, complemented
182	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	#1753	C₂²	1	1	yes	characteristic
184	#1753	C₂²	1	1	yes	characteristic
185	#1753	C₂²	1	1	yes	characteristic
186	#1753	C₂²	1	1	yes	characteristic
187	#1752	C₂²	1	1	yes	characteristic
188	#1752	C₂²	1	1	yes	characteristic
189	#1752	C₂²	1	1	yes	characteristic
190	C₈×C₂²⋊C₄	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, complemented
194	#1750	C₂²	1	1	yes	characteristic, complemented
195	#1750	C₂²	1	1	yes	characteristic, complemented
196	#1750	C₂²	1	1	yes	characteristic, complemented
197	#1750	C₂²	1	1	yes	characteristic, complemented
198	#1750	C₂²	1	1	yes	characteristic, complemented
199	#1749	C₂²	1	1	yes	characteristic
200	#1749	C₂²	1	1	yes	characteristic
201	#1749	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂²×#41	C₂³	1	1	yes	characteristic
204	C₂⁴×C₄	C₂³	1	1	yes	characteristic
205	C₂²×M₁₆	C₂³	1	1	yes	characteristic
206	C₂²×M₁₆	C₂³	1	1	yes	characteristic
207	C₂³×C₈	C₂³	1	1	yes	characteristic
208	C₂³×C₈	C₂³	1	1	yes	characteristic
209	#525	—	4	2	no	—
210	#525	—	4	2	no	—
211	C₂×#123	C₂×C₄	1	1	yes	characteristic
212	C₂×#123	C₂×C₄	1	1	yes	characteristic
213	C₂×#123	C₂×C₄	1	1	yes	characteristic
214	C₂×#123	C₂×C₄	1	1	yes	characteristic
215	C₂×#123	C₂×C₄	1	1	yes	characteristic
216	C₂×#123	C₂×C₄	1	1	yes	characteristic
217	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
218	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₂×#121	C₂×C₄	1	1	yes	characteristic
220	C₂×#121	C₂×C₄	1	1	yes	characteristic
221	C₂×#120	C₂×C₄	1	1	yes	characteristic
222	C₂×#120	C₂×C₄	1	1	yes	characteristic
223	C₄×#41	—	4	2	no	—
224	C₄×#41	—	4	2	no	—
225	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
226	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
227	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
229	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
233	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
237	C₂×#117	C₂³	1	1	yes	characteristic
238	C₂×#117	C₂³	1	1	yes	characteristic
239	C₂×#117	C₂³	1	1	yes	characteristic
240	C₂×#117	C₂³	1	1	yes	characteristic
241	C₂×#117	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
243	C₂²×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
244	C₂²×C₄²	C₂³	1	1	yes	characteristic
245	C₂²×C₄²	C₂³	1	1	yes	characteristic
246	C₂²×C₄²	C₂³	1	1	yes	characteristic
247	C₂²×C₄²	C₂³	1	1	yes	characteristic
248	#433	—	4	2	no	—
249	#433	—	4	2	no	—
250	#433	—	4	2	no	—
251	#433	—	4	2	no	—
252	#432	—	4	2	no	—
253	#431	—	4	2	no	—
254	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
274	#407	—	4	2	no	—
275	C₂×C₂²⋊C₈	—	4	2	no	—
276	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×#97	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×#97	C₂³	1	1	yes	characteristic
317	C₂×#97	C₂³	1	1	yes	characteristic
318	C₂×#97	C₂³	1	1	yes	characteristic
319	C₂×#97	C₂³	1	1	yes	characteristic
320	C₂×#97	C₂³	1	1	yes	characteristic
321	C₂×#97	C₂³	1	1	yes	characteristic
322	C₂×#97	C₂³	1	1	yes	characteristic
323	C₂×#97	C₂³	1	1	yes	characteristic
324	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
325	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
326	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
327	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
328	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
329	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
330	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
331	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
332	#400	C₂×C₄	1	1	yes	characteristic
333	#400	C₂×C₄	1	1	yes	characteristic
334	#400	C₂×C₄	1	1	yes	characteristic
335	#400	C₂×C₄	1	1	yes	characteristic
336	#399	C₂×C₄	1	1	yes	characteristic
337	#399	C₂×C₄	1	1	yes	characteristic
338	#399	C₂×C₄	1	1	yes	characteristic
339	#399	C₂×C₄	1	1	yes	characteristic
340	#398	C₂×C₄	1	1	yes	characteristic
341	#398	C₂×C₄	1	1	yes	characteristic
342	#398	C₂×C₄	1	1	yes	characteristic
343	#398	C₂×C₄	1	1	yes	characteristic
344	#397	C₂×C₄	1	1	yes	characteristic
345	#397	C₂×C₄	1	1	yes	characteristic
346	#397	C₂×C₄	1	1	yes	characteristic
347	#397	C₂×C₄	1	1	yes	characteristic
348	#397	C₂×C₄	1	1	yes	characteristic
349	#397	C₂×C₄	1	1	yes	characteristic
350	#397	C₂×C₄	1	1	yes	characteristic
351	#397	C₂×C₄	1	1	yes	characteristic
352	#397	C₂×C₄	1	1	yes	characteristic
353	#397	C₂×C₄	1	1	yes	characteristic
354	#397	C₂×C₄	1	1	yes	characteristic
355	#397	C₂×C₄	1	1	yes	characteristic
356	#394	C₂×C₄	1	1	yes	characteristic
357	#394	C₂×C₄	1	1	yes	characteristic
358	#394	C₂×C₄	1	1	yes	characteristic
359	#394	C₂×C₄	1	1	yes	characteristic
360	#394	C₂×C₄	1	1	yes	characteristic
361	#394	C₂×C₄	1	1	yes	characteristic
362	#394	C₂×C₄	1	1	yes	characteristic
363	#394	C₂×C₄	1	1	yes	characteristic
364	#391	C₂×C₄	1	1	yes	characteristic
365	#391	C₂×C₄	1	1	yes	characteristic
366	#390	C₂×C₄	1	1	yes	characteristic
367	#390	C₂×C₄	1	1	yes	characteristic
368	#389	C₂×C₄	1	1	yes	characteristic
369	#389	C₂×C₄	1	1	yes	characteristic
370	#389	C₂×C₄	1	1	yes	characteristic
371	#389	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	#387	C₂×C₄	1	1	yes	characteristic
381	#387	C₂×C₄	1	1	yes	characteristic
382	#387	C₂×C₄	1	1	yes	characteristic
383	#387	C₂×C₄	1	1	yes	characteristic
384	#387	C₂×C₄	1	1	yes	characteristic
385	#387	C₂×C₄	1	1	yes	characteristic
386	#387	C₂×C₄	1	1	yes	characteristic
387	#387	C₂×C₄	1	1	yes	characteristic
388	#386	C₂×C₄	1	1	yes	characteristic
389	#386	C₂×C₄	1	1	yes	characteristic
390	#386	C₂×C₄	1	1	yes	characteristic
391	#386	C₂×C₄	1	1	yes	characteristic
392	#386	C₂×C₄	1	1	yes	characteristic
393	#386	C₂×C₄	1	1	yes	characteristic
394	#386	C₂×C₄	1	1	yes	characteristic
395	#386	C₂×C₄	1	1	yes	characteristic
396	#385	C₂×C₄	1	1	yes	characteristic
397	#385	C₂×C₄	1	1	yes	characteristic
398	#385	C₂×C₄	1	1	yes	characteristic
399	#385	C₂×C₄	1	1	yes	characteristic
400	#385	C₂×C₄	1	1	yes	characteristic
401	#385	C₂×C₄	1	1	yes	characteristic
402	#385	C₂×C₄	1	1	yes	characteristic
403	#385	C₂×C₄	1	1	yes	characteristic
404	#384	C₂×C₄	1	1	yes	characteristic
405	#384	C₂×C₄	1	1	yes	characteristic
406	#382	C₂×C₄	1	1	yes	characteristic
407	#382	C₂×C₄	1	1	yes	characteristic
408	#381	C₂×C₄	1	1	yes	characteristic
409	#381	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	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₄×C₄⋊C₄	C₂³	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×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
434	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
435	C₄×C₂²⋊C₄	C₂×C₄	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	C₂×#95	C₂×C₄	1	1	yes	characteristic
449	C₂×#95	C₂×C₄	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	#336	C₂³	1	1	yes	characteristic
485	#336	C₂³	1	1	yes	characteristic
486	#336	C₂³	1	1	yes	characteristic
487	#336	C₂³	1	1	yes	characteristic
488	#336	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	C₂⁵	C₂²×C₄	1	1	yes	characteristic
491	C₂×#41	—	2	2	no	—
492	C₂×#41	—	2	2	no	—
493	C₂×#41	—	4	1	no	—
494	C₂×#41	—	4	1	no	—
495	C₂×#41	—	4	1	no	—
496	C₂×#41	—	4	1	no	—
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	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂³×C₄	—	2	2	no	—
506	C₂³×C₄	—	2	2	no	—
507	C₂³×C₄	—	4	1	no	—
508	C₂³×C₄	—	4	1	no	—
509	C₂³×C₄	—	4	1	no	—
510	C₂³×C₄	—	4	1	no	—
511	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
513	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
514	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
515	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
516	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
517	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
518	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
519	C₂³×C₄	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	C₂⁴	1	1	yes	characteristic
523	C₂³×C₄	C₂⁴	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	—	4	1	no	—
528	C₂×M₁₆	—	4	1	no	—
529	C₂×M₁₆	—	4	1	no	—
530	C₂×M₁₆	—	4	1	no	—
531	C₂×M₁₆	—	4	1	no	—
532	C₂×M₁₆	—	4	1	no	—
533	C₂²×C₈	—	4	1	no	—
534	C₂²×C₈	—	4	1	no	—
535	C₂²×C₈	—	4	1	no	—
536	C₂²×C₈	—	4	1	no	—
537	C₂²×C₈	—	4	1	no	—
538	C₂²×C₈	—	4	1	no	—
539	C₂²×C₈	C₂⁴	1	1	yes	characteristic
540	C₂²×C₈	C₂⁴	1	1	yes	characteristic
541	C₂²×C₈	C₂⁴	1	1	yes	characteristic
542	C₂²×C₈	C₂⁴	1	1	yes	characteristic
543	C₂²×C₈	C₂⁴	1	1	yes	characteristic
544	C₂²×C₈	C₂⁴	1	1	yes	characteristic
545	C₂²×C₈	C₂⁴	1	1	yes	characteristic
546	C₂²×C₈	C₂⁴	1	1	yes	characteristic
547	C₂²×C₈	C₂⁴	1	1	yes	characteristic
548	C₂²×C₈	C₂⁴	1	1	yes	characteristic
549	C₂²×C₈	C₂⁴	1	1	yes	characteristic
550	C₂²×C₈	C₂⁴	1	1	yes	characteristic
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	#123	—	4	2	no	—
556	#123	—	4	2	no	—
557	#123	—	4	2	no	—
558	#123	—	4	2	no	—
559	#123	—	4	2	no	—
560	#123	—	4	2	no	—
561	C₂²⋊Q₈	—	4	2	no	—
562	C₂²⋊Q₈	—	4	2	no	—
563	#121	—	4	2	no	—
564	#121	—	4	2	no	—
565	#120	—	4	2	no	—
566	#120	—	4	2	no	—
567	C₄×Q₈	—	4	2	no	—
568	C₄×Q₈	—	4	2	no	—
569	C₄×D₄	—	4	2	no	—
570	C₄×D₄	—	4	2	no	—
571	C₄×D₄	—	4	1	no	—
572	C₄×D₄	—	4	1	no	—
573	C₄×D₄	—	4	1	no	—
574	C₄×D₄	—	4	1	no	—
575	C₄×D₄	—	4	1	no	—
576	C₄×D₄	—	4	1	no	—
577	C₄×D₄	—	4	1	no	—
578	C₄×D₄	—	4	1	no	—
579	C₄×D₄	—	4	2	no	—
580	C₄×D₄	—	4	2	no	—
581	C₄×D₄	—	4	2	no	—
582	C₄×D₄	—	4	2	no	—
583	#117	—	2	2	no	—
584	#117	—	2	2	no	—
585	#117	—	2	2	no	—
586	#117	—	2	2	no	—
587	#117	—	4	1	no	—
588	#117	—	4	1	no	—
589	#117	—	4	1	no	—
590	#117	—	4	1	no	—
591	#117	—	4	1	no	—
592	#117	—	4	1	no	—
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×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×C₂²⋊C₄	—	4	2	no	—
624	C₂×C₂²⋊C₄	—	4	2	no	—
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×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×C₄²	—	2	2	no	—
668	C₂×C₄²	—	2	2	no	—
669	C₂×C₄²	—	4	1	no	—
670	C₂×C₄²	—	4	1	no	—
671	C₂×C₄²	—	4	1	no	—
672	C₂×C₄²	—	4	1	no	—
673	C₂×C₄²	—	4	1	no	—
674	C₂×C₄²	—	4	1	no	—
675	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
678	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
681	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
682	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₄²	C₂⁴	1	1	yes	characteristic
684	C₂×C₄²	C₂⁴	1	1	yes	characteristic
685	C₂×C₄²	C₂⁴	1	1	yes	characteristic
686	C₂×C₄²	C₂⁴	1	1	yes	characteristic
687	C₂×C₄²	C₂⁴	1	1	yes	characteristic
688	C₂×C₄²	C₂⁴	1	1	yes	characteristic
689	C₂×C₄²	C₂⁴	1	1	yes	characteristic
690	C₂×C₄²	C₂⁴	1	1	yes	characteristic
691	C₂×C₄²	C₂⁴	1	1	yes	characteristic
692	C₂×C₄²	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₈	—	4	1	no	—
698	C₄⋊C₈	—	4	1	no	—
699	C₄⋊C₈	—	4	1	no	—
700	C₄⋊C₈	—	4	1	no	—
701	C₄⋊C₈	—	4	1	no	—
702	C₄⋊C₈	—	4	1	no	—
703	C₄⋊C₈	—	4	1	no	—
704	C₄⋊C₈	—	4	1	no	—
705	C₄⋊C₈	—	4	1	no	—
706	C₄⋊C₈	—	4	1	no	—
707	C₄⋊C₈	—	4	1	no	—
708	C₄⋊C₈	—	4	1	no	—
709	C₄⋊C₈	—	4	1	no	—
710	C₄⋊C₈	—	4	1	no	—
711	C₄⋊C₈	—	4	1	no	—
712	C₄⋊C₈	—	4	1	no	—
713	C₂²⋊C₈	—	2	2	no	—
714	C₂²⋊C₈	—	2	2	no	—
715	C₂²⋊C₈	—	2	2	no	—
716	C₂²⋊C₈	—	2	2	no	—
717	C₂²⋊C₈	—	2	2	no	—
718	C₂²⋊C₈	—	2	2	no	—
719	C₂²⋊C₈	—	2	2	no	—
720	C₂²⋊C₈	—	2	2	no	—
721	C₂²⋊C₈	—	4	1	no	—
722	C₂²⋊C₈	—	4	1	no	—
723	C₂²⋊C₈	—	4	1	no	—
724	C₂²⋊C₈	—	4	1	no	—
725	C₂²⋊C₈	—	4	1	no	—
726	C₂²⋊C₈	—	4	1	no	—
727	C₂²⋊C₈	—	4	1	no	—
728	C₂²⋊C₈	—	4	1	no	—
729	C₂²⋊C₈	—	4	1	no	—
730	C₂²⋊C₈	—	4	1	no	—
731	C₂²⋊C₈	—	4	1	no	—
732	C₂²⋊C₈	—	4	1	no	—
733	C₂²⋊C₈	—	4	1	no	—
734	C₂²⋊C₈	—	4	1	no	—
735	C₂²⋊C₈	—	4	1	no	—
736	C₂²⋊C₈	—	4	1	no	—
737	C₂²⋊C₈	—	4	1	no	—
738	C₂²⋊C₈	—	4	1	no	—
739	C₂²⋊C₈	—	4	1	no	—
740	C₂²⋊C₈	—	4	1	no	—
741	C₂²⋊C₈	—	4	1	no	—
742	C₂²⋊C₈	—	4	1	no	—
743	C₂²⋊C₈	—	4	1	no	—
744	C₂²⋊C₈	—	4	1	no	—
745	C₂²⋊C₈	—	4	1	no	—
746	C₂²⋊C₈	—	4	1	no	—
747	C₂²⋊C₈	—	4	1	no	—
748	C₂²⋊C₈	—	4	1	no	—
749	#97	—	4	1	no	—
750	#97	—	4	1	no	—
751	#97	—	4	1	no	—
752	#97	—	4	1	no	—
753	#97	—	4	1	no	—
754	#97	—	4	1	no	—
755	#97	—	4	1	no	—
756	#97	—	4	1	no	—
757	#97	—	4	1	no	—
758	#97	—	4	1	no	—
759	#97	—	4	1	no	—
760	#97	—	4	1	no	—
761	C₄×C₈	—	4	1	no	—
762	C₄×C₈	—	4	1	no	—
763	C₄×C₈	—	4	1	no	—
764	C₄×C₈	—	4	1	no	—
765	C₄×C₈	—	4	1	no	—
766	C₄×C₈	—	4	1	no	—
767	C₄×C₈	—	4	1	no	—
768	C₄×C₈	—	4	1	no	—
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	#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	C₂⁴	—	2	2	no	—
810	C₂⁴	—	2	2	no	—
811	C₂⁴	—	4	1	no	—
812	C₂⁴	—	4	1	no	—
813	C₂⁴	—	4	1	no	—
814	C₂⁴	—	4	1	no	—
815	C₂⁴	—	4	1	no	—
816	C₂⁴	C₂³×C₄	1	1	yes	characteristic
817	C₂⁴	C₂³×C₄	1	1	yes	characteristic
818	C₂⁴	C₂³×C₄	1	1	yes	characteristic
819	C₂⁴	C₂³×C₄	1	1	yes	characteristic
820	C₂⁴	C₂³×C₄	1	1	yes	characteristic
821	#41	—	4	4	no	—
822	#41	—	4	4	no	—
823	#41	—	4	4	no	—
824	#41	—	4	4	no	—
825	C₂×Q₈	—	2	2	no	—
826	C₂×Q₈	—	4	1	no	—
827	C₂×Q₈	—	4	1	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	4	1	no	—
834	C₂×D₄	—	4	1	no	—
835	C₂×D₄	—	4	1	no	—
836	C₂×D₄	—	4	1	no	—
837	C₂×D₄	—	4	1	no	—
838	C₂×D₄	—	4	1	no	—
839	C₂×D₄	—	4	1	no	—
840	C₂×D₄	—	4	1	no	—
841	C₂×D₄	—	4	1	no	—
842	C₂×D₄	—	4	1	no	—
843	C₂×D₄	—	4	1	no	—
844	C₂×D₄	—	4	1	no	—
845	C₂×D₄	—	4	1	no	—
846	C₂×D₄	—	4	1	no	—
847	C₂×D₄	—	4	1	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂²×C₄	—	2	1	no	—
850	C₂²×C₄	—	2	1	no	—
851	C₂²×C₄	—	2	1	no	—
852	C₂²×C₄	—	2	1	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	1	no	—
859	C₂²×C₄	—	2	1	no	—
860	C₂²×C₄	—	2	1	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	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	4	1	no	—
886	C₂²×C₄	—	4	1	no	—
887	C₂²×C₄	—	4	1	no	—
888	C₂²×C₄	—	4	1	no	—
889	C₂²×C₄	—	4	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	1	no	—
892	C₂²×C₄	—	4	1	no	—
893	C₂²×C₄	—	4	1	no	—
894	C₂²×C₄	—	4	1	no	—
895	C₂²×C₄	—	4	1	no	—
896	C₂²×C₄	—	4	1	no	—
897	C₂²×C₄	—	4	1	no	—
898	C₂²×C₄	—	4	1	no	—
899	C₂²×C₄	—	4	1	no	—
900	C₂²×C₄	—	4	1	no	—
901	C₂²×C₄	—	4	1	no	—
902	C₂²×C₄	—	4	1	no	—
903	C₂²×C₄	—	4	1	no	—
904	C₂²×C₄	—	4	1	no	—
905	C₂²×C₄	—	4	1	no	—
906	C₂²×C₄	—	4	1	no	—
907	C₂²×C₄	—	4	1	no	—
908	C₂²×C₄	—	4	1	no	—
909	C₂²×C₄	—	4	1	no	—
910	C₂²×C₄	—	8	2	no	—
911	C₂²×C₄	—	8	2	no	—
912	C₂²×C₄	—	8	2	no	—
913	C₂²×C₄	—	8	2	no	—
914	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
915	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
916	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
917	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
918	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
919	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
920	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
921	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
922	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
923	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
924	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
925	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
926	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
927	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
928	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
929	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
930	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
931	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
932	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
933	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
938	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
940	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
941	C₂²×C₄	C₂⁵	1	1	yes	characteristic
942	M₁₆	—	8	2	no	—
943	M₁₆	—	8	2	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	—	2	1	no	—
960	C₂×C₈	—	2	1	no	—
961	C₂×C₈	—	2	1	no	—
962	C₂×C₈	—	2	1	no	—
963	C₂×C₈	—	2	1	no	—
964	C₂×C₈	—	2	1	no	—
965	C₂×C₈	—	2	1	no	—
966	C₂×C₈	—	2	1	no	—
967	C₂×C₈	—	2	1	no	—
968	C₂×C₈	—	2	1	no	—
969	C₂×C₈	—	2	1	no	—
970	C₂×C₈	—	2	1	no	—
971	C₂×C₈	—	2	1	no	—
972	C₂×C₈	—	2	1	no	—
973	C₂×C₈	—	2	1	no	—
974	C₂×C₈	—	2	1	no	—
975	C₂×C₈	—	2	1	no	—
976	C₂×C₈	—	2	1	no	—
977	C₂×C₈	—	2	1	no	—
978	C₂×C₈	—	2	1	no	—
979	C₂×C₈	—	2	1	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	—	8	2	no	—
993	C₂×C₈	—	8	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	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	—	4	1	no	—
1011	C₄⋊C₄	—	4	1	no	—
1012	C₄⋊C₄	—	4	1	no	—
1013	C₄⋊C₄	—	4	1	no	—
1014	C₄⋊C₄	—	4	1	no	—
1015	C₄⋊C₄	—	4	1	no	—
1016	C₄⋊C₄	—	4	1	no	—
1017	C₄⋊C₄	—	4	1	no	—
1018	C₄⋊C₄	—	4	1	no	—
1019	C₄⋊C₄	—	4	1	no	—
1020	C₄⋊C₄	—	4	1	no	—
1021	C₄⋊C₄	—	4	1	no	—
1022	C₄⋊C₄	—	4	1	no	—
1023	C₄⋊C₄	—	4	1	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	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	—	4	1	no	—
1043	C₂²⋊C₄	—	4	1	no	—
1044	C₂²⋊C₄	—	4	1	no	—
1045	C₂²⋊C₄	—	4	1	no	—
1046	C₂²⋊C₄	—	4	1	no	—
1047	C₂²⋊C₄	—	4	1	no	—
1048	C₂²⋊C₄	—	4	1	no	—
1049	C₂²⋊C₄	—	4	1	no	—
1050	C₂²⋊C₄	—	4	1	no	—
1051	C₂²⋊C₄	—	4	1	no	—
1052	C₂²⋊C₄	—	4	1	no	—
1053	C₂²⋊C₄	—	4	1	no	—
1054	C₂²⋊C₄	—	4	1	no	—
1055	C₂²⋊C₄	—	4	1	no	—
1056	C₂²⋊C₄	—	4	1	no	—
1057	C₂²⋊C₄	—	4	1	no	—
1058	C₂²⋊C₄	—	4	1	no	—
1059	C₂²⋊C₄	—	4	1	no	—
1060	C₂²⋊C₄	—	4	1	no	—
1061	C₂²⋊C₄	—	4	1	no	—
1062	C₂²⋊C₄	—	4	1	no	—
1063	C₂²⋊C₄	—	4	1	no	—
1064	C₂²⋊C₄	—	4	1	no	—
1065	C₂²⋊C₄	—	4	1	no	—
1066	C₄²	—	2	2	no	—
1067	C₄²	—	2	2	no	—
1068	C₄²	—	2	1	no	—
1069	C₄²	—	2	1	no	—
1070	C₄²	—	2	1	no	—
1071	C₄²	—	2	1	no	—
1072	C₄²	—	2	1	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	—	2	1	no	—
1075	C₄²	—	2	1	no	—
1076	C₄²	—	2	1	no	—
1077	C₄²	—	2	1	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	—	2	1	no	—
1082	C₄²	—	2	1	no	—
1083	C₄²	—	2	1	no	—
1084	C₄²	—	2	1	no	—
1085	C₄²	—	2	1	no	—
1086	C₄²	—	2	1	no	—
1087	C₄²	—	2	1	no	—
1088	C₄²	—	4	1	no	—
1089	C₄²	—	4	1	no	—
1090	C₄²	—	4	1	no	—
1091	C₄²	—	4	1	no	—
1092	C₄²	—	4	1	no	—
1093	C₄²	—	4	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	1	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	2	1	no	—
1105	C₂³	—	2	1	no	—
1106	C₂³	—	2	1	no	—
1107	C₂³	—	2	1	no	—
1108	C₂³	—	2	1	no	—
1109	C₂³	—	2	1	no	—
1110	C₂³	—	2	1	no	—
1111	C₂³	—	2	1	no	—
1112	C₂³	—	2	1	no	—
1113	C₂³	—	2	1	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	2	1	no	—
1118	C₂³	—	2	1	no	—
1119	C₂³	—	2	1	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	1	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	1	no	—
1124	C₂³	—	2	1	no	—
1125	C₂³	—	2	1	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	4	4	no	—
1128	C₂³	—	4	4	no	—
1129	C₂³	—	8	2	no	—
1130	C₂³	—	8	2	no	—
1131	C₂³	—	8	2	no	—
1132	C₂³	—	8	2	no	—
1133	C₂³	—	8	2	no	—
1134	C₂³	#518	1	2	yes	—
1135	C₂³	#568	1	2	yes	—
1136	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1137	Q₈	—	4	4	no	—
1138	D₄	—	4	4	no	—
1139	D₄	—	4	4	no	—
1140	D₄	—	4	4	no	—
1141	D₄	—	8	2	no	—
1142	D₄	—	8	2	no	—
1143	D₄	—	8	2	no	—
1144	D₄	—	8	2	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	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	2	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	—	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	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	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	—	4	4	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	1	no	—
1225	C₂×C₄	—	4	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	1	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	1	no	—
1232	C₂×C₄	—	4	1	no	—
1233	C₂×C₄	—	4	1	no	—
1234	C₂×C₄	—	4	1	no	—
1235	C₂×C₄	—	4	1	no	—
1236	C₂×C₄	—	4	1	no	—
1237	C₂×C₄	—	4	1	no	—
1238	C₂×C₄	—	4	1	no	—
1239	C₂×C₄	—	8	2	no	—
1240	C₂×C₄	—	8	2	no	—
1241	C₂×C₄	—	8	2	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	—	8	2	no	—
1244	C₂×C₄	—	8	2	no	—
1245	C₂×C₄	—	8	2	no	—
1246	C₂×C₄	—	8	2	no	—
1247	C₂×C₄	—	8	2	no	—
1248	C₂×C₄	—	8	2	no	—
1249	C₂×C₄	#518	1	2	yes	—
1250	C₂×C₄	#568	1	2	yes	—
1251	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1252	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1253	C₂×C₄	#585	1	1	yes	characteristic
1254	C₂×C₄	#585	1	1	yes	characteristic
1255	C₂×C₄	#585	1	1	yes	characteristic
1256	C₂×C₄	#585	1	1	yes	characteristic
1257	C₈	—	4	1	no	—
1258	C₈	—	4	1	no	—
1259	C₈	—	4	1	no	—
1260	C₈	—	4	1	no	—
1261	C₈	—	4	1	no	—
1262	C₈	—	4	1	no	—
1263	C₈	—	4	1	no	—
1264	C₈	—	4	1	no	—
1265	C₈	—	4	1	no	—
1266	C₈	—	4	1	no	—
1267	C₈	—	4	1	no	—
1268	C₈	—	4	1	no	—
1269	C₈	—	4	1	no	—
1270	C₈	—	4	1	no	—
1271	C₈	—	4	1	no	—
1272	C₈	—	4	1	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	2	2	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	1	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	—	4	1	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	8	8	no	—
1309	C₂²	C₂×#518	1	1	yes	characteristic
1310	C₂²	#3428	1	1	yes	characteristic
1311	C₂²	#3428	1	1	yes	characteristic
1312	C₂²	C₂×#568	1	1	yes	characteristic
1313	C₂²	C₂×#568	1	1	yes	characteristic
1314	C₂²	#3573	1	1	yes	characteristic
1315	C₂²	#3573	1	1	yes	characteristic
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	#3533	1	1	yes	characteristic
1342	C₄	#3533	1	1	yes	characteristic
1343	C₄	#3533	1	1	yes	characteristic
1344	C₄	#3533	1	1	yes	characteristic
1345	C₂	—	4	2	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	8	1	no	—
1348	C₂	—	8	1	no	—
1349	C₂	—	8	1	no	—
1350	C₂	#34357	1	1	yes	characteristic
1351	C₂	#60240	1	1	yes	characteristic
1352	C₂	#60240	1	1	yes	characteristic
1353	C₂	#60293	1	1	yes	characteristic
1354	C₂	#60296	1	1	yes	characteristic
1355	C₂	#60299	1	1	yes	characteristic
1356	C₂	#60300	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂×#525	C₂²
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. #23324	C₂	semidirect
3. #23322	C₂	semidirect
4. #23320	C₂	semidirect
5. #23318	C₂	semidirect
6. #23303	C₂	semidirect
7. #23301	C₂	semidirect
8. #23299	C₂	semidirect
9. #23297	C₂	semidirect
10. #22605	C₂	semidirect
11. #22604	C₂	semidirect
12. #22602	C₂	semidirect
13. #22602	C₂	semidirect
14. #22559	C₂	semidirect
15. #22558	C₂	semidirect
16. #22554	C₂	semidirect
17. #22553	C₂	semidirect
18. #22372	C₂	semidirect
19. #22370	C₂	semidirect
20. #22369	C₂	semidirect
21. #22368	C₂	semidirect
22. #22367	C₂	semidirect
23. #22366	C₂	semidirect
24. #22361	C₂	semidirect
25. #22359	C₂	semidirect
26. #21909	C₂	semidirect
27. #21907	C₂	semidirect
30. #20721	C₂	semidirect
31. #20720	C₂	semidirect
79. #1940	C₂²	semidirect
80. #1940	C₂²	semidirect
81. #1940	C₂²	semidirect
82. #1940	C₂²	semidirect
83. #1940	C₂²	semidirect
84. #1940	C₂²	semidirect
85. #1939	C₂²	semidirect
86. #1939	C₂²	semidirect
97. #1924	C₂²	semidirect
98. #1924	C₂²	semidirect
99. #1924	C₂²	semidirect
100. #1924	C₂²	semidirect
101. #1924	C₂²	semidirect
102. #1924	C₂²	semidirect
103. #1924	C₂²	semidirect
104. #1924	C₂²	semidirect
105. #1924	C₂²	semidirect
106. #1924	C₂²	semidirect
107. #1924	C₂²	semidirect
108. #1924	C₂²	semidirect
115. #1923	C₂²	semidirect
116. #1923	C₂²	semidirect
117. #1923	C₂²	semidirect
118. #1923	C₂²	semidirect
119. #1917	C₂²	semidirect
120. #1917	C₂²	semidirect
121. #1917	C₂²	semidirect
122. #1917	C₂²	semidirect
123. #1917	C₂²	semidirect
124. #1917	C₂²	semidirect
125. #1917	C₂²	semidirect
126. #1917	C₂²	semidirect
127. #1916	C₂²	semidirect
128. #1916	C₂²	semidirect
129. #1916	C₂²	semidirect
130. #1916	C₂²	semidirect
131. #1916	C₂²	semidirect
132. #1916	C₂²	semidirect
133. #1916	C₂²	semidirect
134. #1916	C₂²	semidirect
159. #1798	C₂²	semidirect
160. #1798	C₂²	semidirect
163. #1797	C₂²	semidirect
164. #1797	C₂²	semidirect
165. #1797	C₂²	semidirect
166. #1797	C₂²	semidirect
167. #1797	C₂²	semidirect
168. #1797	C₂²	semidirect
175. #1771	C₂²	semidirect
176. #1771	C₂²	semidirect
177. #1771	C₂²	semidirect
178. #1771	C₂²	semidirect
179. #1771	C₂²	semidirect
180. #1771	C₂²	semidirect
181. #1770	C₂²	semidirect
182. C₈×C₄⋊C₄	C₂²	semidirect
193. #1750	C₂²	semidirect
194. #1750	C₂²	semidirect
195. #1750	C₂²	semidirect
196. #1750	C₂²	semidirect
197. #1750	C₂²	semidirect
198. #1750	C₂²	semidirect
201. #1749	C₂²	semidirect
202. C₄×C₂²⋊C₈	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#34742	2
#23324	2
#23322	2
#23320	2
#23318	2
#23303	2
#23301	2
#23299	2
#23297	2
#22605	2
#22604	2
#22602	2
#22559	2
#22558	2
#22554	2
#22553	2
#22372	2
#22370	2
#22369	2
#22368	2
#22367	2
#22366	2
#22361	2
#22359	2
#21909	2
#21907	2
#21792	2
#21741	2
#20721	2
#20720	2