Subgroups — #28329144

Order 13568.

2140 conjugacy classes of subgroups.

The subgroup lattice has 2086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291262	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291250	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291242	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291236	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291233	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291223	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291222	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291215	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291198	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291193	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291192	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
31	#553×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
33	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
34	C₂×#13133296	C₂²	1	1	yes	characteristic
35	C₂×#13133296	C₂²	1	1	yes	characteristic
36	C₂×#13133296	C₂²	1	1	yes	characteristic
37	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
38	#16811575	C₂²	1	1	yes	characteristic
39	#16811575	C₂²	1	1	yes	characteristic
40	#16811575	C₂²	1	1	yes	characteristic
41	#16811575	C₂²	1	1	yes	characteristic
42	#16811575	C₂²	1	1	yes	characteristic
43	#16811575	C₂²	1	1	yes	characteristic
44	#16811575	C₂²	1	1	yes	characteristic
45	#16811575	C₂²	1	1	yes	characteristic
46	#16811574	C₂²	1	1	yes	characteristic
47	#16811574	C₂²	1	1	yes	characteristic
48	#16811574	C₂²	1	1	yes	characteristic
49	#16811574	C₂²	1	1	yes	characteristic
50	#16811574	C₂²	1	1	yes	characteristic
51	#16811574	C₂²	1	1	yes	characteristic
52	#16811573	C₂²	1	1	yes	characteristic
53	#16811573	C₂²	1	1	yes	characteristic
54	#16811573	C₂²	1	1	yes	characteristic
55	#16811573	C₂²	1	1	yes	characteristic
56	#16811573	C₂²	1	1	yes	characteristic
57	#16811573	C₂²	1	1	yes	characteristic
58	#16811573	C₂²	1	1	yes	characteristic
59	#16811573	C₂²	1	1	yes	characteristic
60	#16811573	C₂²	1	1	yes	characteristic
61	#16811573	C₂²	1	1	yes	characteristic
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811572	C₂²	1	1	yes	characteristic
75	#16811572	C₂²	1	1	yes	characteristic
76	#16811572	C₂²	1	1	yes	characteristic
77	#16811572	C₂²	1	1	yes	characteristic
78	#16811572	C₂²	1	1	yes	characteristic
79	#16811572	C₂²	1	1	yes	characteristic
80	#16811572	C₂²	1	1	yes	characteristic
81	#16811572	C₂²	1	1	yes	characteristic
82	#16811572	C₂²	1	1	yes	characteristic
83	#16811572	C₂²	1	1	yes	characteristic
84	#16811572	C₂²	1	1	yes	characteristic
85	#16811572	C₂²	1	1	yes	characteristic
86	#16811572	C₂²	1	1	yes	characteristic
87	#16811572	C₂²	1	1	yes	characteristic
88	#16811572	C₂²	1	1	yes	characteristic
89	#16811572	C₂²	1	1	yes	characteristic
90	#16811572	C₂²	1	1	yes	characteristic
91	#16811572	C₂²	1	1	yes	characteristic
92	#16811572	C₂²	1	1	yes	characteristic
93	#16811572	C₂²	1	1	yes	characteristic
94	#16811572	C₂²	1	1	yes	characteristic
95	#16811572	C₂²	1	1	yes	characteristic
96	#16811572	C₂²	1	1	yes	characteristic
97	#16811572	C₂²	1	1	yes	characteristic
98	#16811572	C₂²	1	1	yes	characteristic
99	#16811572	C₂²	1	1	yes	characteristic
100	#16811571	C₂²	1	1	yes	characteristic
101	#16811571	C₂²	1	1	yes	characteristic
102	#16811571	C₂²	1	1	yes	characteristic
103	#16811571	C₂²	1	1	yes	characteristic
104	#16811571	C₂²	1	1	yes	characteristic
105	#16811571	C₂²	1	1	yes	characteristic
106	#16811571	C₂²	1	1	yes	characteristic
107	#16811571	C₂²	1	1	yes	characteristic
108	#16811571	C₂²	1	1	yes	characteristic
109	#16811571	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811570	C₂²	1	1	yes	characteristic
115	#16811570	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic
117	#16811570	C₂²	1	1	yes	characteristic
118	#16811570	C₂²	1	1	yes	characteristic
119	#16811570	C₂²	1	1	yes	characteristic
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811569	C₂²	1	1	yes	characteristic
125	#16811568	C₂²	1	1	yes	characteristic
126	#16811568	C₂²	1	1	yes	characteristic
127	#16811567	C₂²	1	1	yes	characteristic
128	#16811567	C₂²	1	1	yes	characteristic
129	#16811566	C₂²	1	1	yes	characteristic
130	#16811566	C₂²	1	1	yes	characteristic
131	#16811566	C₂²	1	1	yes	characteristic
132	#16811566	C₂²	1	1	yes	characteristic
133	#16811566	C₂²	1	1	yes	characteristic
134	#16811566	C₂²	1	1	yes	characteristic
135	#16811565	C₂²	1	1	yes	characteristic
136	#16811565	C₂²	1	1	yes	characteristic
137	#16811565	C₂²	1	1	yes	characteristic
138	#16811565	C₂²	1	1	yes	characteristic
139	#16811565	C₂²	1	1	yes	characteristic
140	#16811565	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
149	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
150	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
151	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	#16811559	C₂²	1	1	yes	characteristic
168	#16811559	C₂²	1	1	yes	characteristic
169	#16811559	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
172	#16811326	C₄	1	1	yes	characteristic, complemented
173	#16811325	C₄	1	1	yes	characteristic, complemented
174	#16811324	C₄	1	1	yes	characteristic, complemented
175	#16811324	C₄	1	1	yes	characteristic, complemented
176	#16811323	C₄	1	1	yes	characteristic, complemented
177	#16811322	C₄	1	1	yes	characteristic, complemented
178	#16811322	C₄	1	1	yes	characteristic, complemented
179	#16811321	C₄	1	1	yes	characteristic, complemented
180	#16811320	C₄	1	1	yes	characteristic, complemented
181	#16811319	C₄	1	1	yes	characteristic, complemented
182	#16811318	C₄	1	1	yes	characteristic, complemented
183	#16811318	C₄	1	1	yes	characteristic, complemented
184	#16811317	C₄	1	1	yes	characteristic, complemented
185	#16811316	C₄	1	1	yes	characteristic, complemented
186	#16811316	C₄	1	1	yes	characteristic, complemented
187	#126×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
189	#125×D₅₃	C₂²	1	1	yes	characteristic
190	#123×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#121×D₅₃	C₂²	1	1	yes	characteristic
193	#121×D₅₃	C₂²	1	1	yes	characteristic
194	#121×D₅₃	C₂²	1	1	yes	characteristic
195	#121×D₅₃	C₂²	1	1	yes	characteristic
196	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
197	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
198	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	#117×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#553	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	D₄×#6157	—	4	2	no	—
210	D₄×#6157	—	4	2	no	—
211	#13133296	—	4	2	no	—
212	#13133296	—	4	2	no	—
213	#13133296	—	4	2	no	—
214	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₄×#6157	—	4	2	no	—
261	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
262	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
263	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
265	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
267	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
269	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
279	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
280	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
281	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
330	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
341	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
342	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
343	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
344	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
345	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
346	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
347	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133192	C₂×C₄	1	1	yes	characteristic
377	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133191	C₂×C₄	1	1	yes	characteristic
381	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133190	C₂×C₄	1	1	yes	characteristic
385	#13133190	C₂×C₄	1	1	yes	characteristic
386	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133189	C₂×C₄	1	1	yes	characteristic
393	#13133189	C₂×C₄	1	1	yes	characteristic
394	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133188	C₂×C₄	1	1	yes	characteristic
401	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
404	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
405	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
406	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
407	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
408	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
409	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
410	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
411	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
416	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
417	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
418	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
419	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
420	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
421	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
422	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
423	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
439	C₂×C₄⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
440	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
441	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
442	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
443	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
444	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
445	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
446	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
447	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
448	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
449	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
450	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
451	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
452	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
453	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₄²×D₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
470	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
471	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
472	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
473	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
474	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
475	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
485	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
486	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
487	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
488	C₂²×#6157	—	2	2	no	—
489	C₂²×#6157	—	2	2	no	—
490	C₂²×#6157	—	4	1	no	—
491	C₂²×#6157	—	4	1	no	—
492	C₂²×#6157	—	4	1	no	—
493	C₂²×#6157	—	4	1	no	—
494	C₂²×#6157	—	4	1	no	—
495	C₂²×#6157	—	4	1	no	—
496	C₂²×#6157	—	4	1	no	—
497	C₂²×#6157	—	4	1	no	—
498	C₂²×#6157	—	4	1	no	—
499	C₂²×#6157	—	4	1	no	—
500	C₂²×#6157	—	4	1	no	—
501	C₂²×#6157	—	4	1	no	—
502	C₂²×#6157	—	4	1	no	—
503	C₂²×#6157	—	4	1	no	—
504	C₂²×#6157	—	4	1	no	—
505	C₂²×#6157	—	4	1	no	—
506	C₂²×#6157	C₂⁴	1	1	yes	characteristic
507	C₂²×#6157	C₂⁴	1	1	yes	characteristic
508	C₂²×#6157	C₂⁴	1	1	yes	characteristic
509	C₂²×#6157	C₂⁴	1	1	yes	characteristic
510	C₂²×#6157	C₂⁴	1	1	yes	characteristic
511	C₂²×#6157	C₂⁴	1	1	yes	characteristic
512	C₂²×#6157	C₂⁴	1	1	yes	characteristic
513	C₂²×#6157	C₂⁴	1	1	yes	characteristic
514	C₂²×#6157	C₂⁴	1	1	yes	characteristic
515	C₂²×#6157	C₂⁴	1	1	yes	characteristic
516	C₂²×#6157	C₂⁴	1	1	yes	characteristic
517	C₂²×#6157	C₂⁴	1	1	yes	characteristic
518	C₂²×#6157	C₂⁴	1	1	yes	characteristic
519	C₂²×#6157	C₂⁴	1	1	yes	characteristic
520	C₂²×#6157	C₂⁴	1	1	yes	characteristic
521	C₂²×#6157	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
552	D₄×D₅₃	—	4	1	no	—
553	D₄×D₅₃	—	4	1	no	—
554	D₄×D₅₃	—	4	1	no	—
555	D₄×D₅₃	—	4	1	no	—
556	D₄×D₅₃	—	4	1	no	—
557	D₄×D₅₃	—	4	1	no	—
558	D₄×D₅₃	—	4	1	no	—
559	D₄×D₅₃	—	4	1	no	—
560	D₄×D₅₃	—	4	1	no	—
561	D₄×D₅₃	—	4	1	no	—
562	D₄×D₅₃	—	4	1	no	—
563	D₄×D₅₃	—	4	1	no	—
564	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
565	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
566	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
567	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
568	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
569	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄×D₅₃	—	4	1	no	—
571	C₂×C₄×D₅₃	—	4	1	no	—
572	C₂×C₄×D₅₃	—	4	1	no	—
573	C₂×C₄×D₅₃	—	4	1	no	—
574	C₂×C₄×D₅₃	—	4	1	no	—
575	C₂×C₄×D₅₃	—	4	1	no	—
576	C₂×C₄×D₅₃	—	4	1	no	—
577	C₂×C₄×D₅₃	—	4	1	no	—
578	C₂×C₄×D₅₃	—	4	1	no	—
579	C₂×C₄×D₅₃	—	4	1	no	—
580	C₂×C₄×D₅₃	—	4	1	no	—
581	C₂×C₄×D₅₃	—	4	1	no	—
582	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
605	C₂²⋊#6157	—	2	2	no	—
606	C₂²⋊#6157	—	2	2	no	—
607	C₂²⋊#6157	—	4	1	no	—
608	C₂²⋊#6157	—	4	1	no	—
609	C₂²⋊#6157	—	4	1	no	—
610	C₂²⋊#6157	—	4	1	no	—
611	C₂²⋊#6157	—	4	1	no	—
612	C₂²⋊#6157	—	4	1	no	—
613	C₂²⋊#6157	—	4	1	no	—
614	C₂²⋊#6157	—	4	1	no	—
615	C₂²⋊#6157	—	4	1	no	—
616	C₂²⋊#6157	—	4	1	no	—
617	C₂²⋊#6157	—	4	1	no	—
618	C₂²⋊#6157	—	4	1	no	—
619	C₂²⋊#6157	—	4	1	no	—
620	C₂²⋊#6157	—	4	1	no	—
621	C₂²⋊#6157	—	4	1	no	—
622	C₂²⋊#6157	—	4	1	no	—
623	C₂²⋊#6157	—	4	1	no	—
624	C₂²⋊#6157	—	4	1	no	—
625	C₂²⋊#6157	—	4	1	no	—
626	C₂²⋊#6157	—	4	1	no	—
627	C₂²⋊#6157	—	4	1	no	—
628	C₂²⋊#6157	—	4	1	no	—
629	C₂²⋊#6157	—	4	1	no	—
630	C₂²⋊#6157	—	4	1	no	—
631	C₄⋊#6157	—	2	2	no	—
632	C₄⋊#6157	—	2	2	no	—
633	C₄⋊#6157	—	4	1	no	—
634	C₄⋊#6157	—	4	1	no	—
635	C₄⋊#6157	—	4	1	no	—
636	C₄⋊#6157	—	4	1	no	—
637	C₄⋊#6157	—	4	1	no	—
638	C₄⋊#6157	—	4	1	no	—
639	C₄⋊#6157	—	4	1	no	—
640	C₄⋊#6157	—	4	1	no	—
641	C₄⋊#6157	—	4	1	no	—
642	C₄⋊#6157	—	4	1	no	—
643	C₄⋊#6157	—	4	1	no	—
644	C₄⋊#6157	—	4	1	no	—
645	C₄⋊#6157	—	4	1	no	—
646	C₄⋊#6157	—	4	1	no	—
647	C₄⋊#6157	—	4	1	no	—
648	C₄⋊#6157	—	4	1	no	—
649	C₄⋊#6157	—	4	1	no	—
650	C₄⋊#6157	—	4	1	no	—
651	C₄×#6157	—	2	2	no	—
652	C₄×#6157	—	2	2	no	—
653	C₄×#6157	—	2	2	no	—
654	C₄×#6157	—	4	1	no	—
655	C₄×#6157	—	4	1	no	—
656	C₄×#6157	—	4	1	no	—
657	C₄×#6157	—	4	1	no	—
658	C₄×#6157	—	4	1	no	—
659	C₄×#6157	—	4	1	no	—
660	C₄×#6157	—	4	1	no	—
661	C₄×#6157	—	4	1	no	—
662	C₄×#6157	—	4	1	no	—
663	C₄×#6157	—	4	1	no	—
664	C₄×#6157	—	4	1	no	—
665	C₄×#6157	—	4	1	no	—
666	C₄×#6157	—	4	1	no	—
667	C₄×#6157	—	4	1	no	—
668	C₄×#6157	—	4	1	no	—
669	C₄×#6157	—	4	1	no	—
670	C₄×#6157	—	4	1	no	—
671	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
691	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
692	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
704	#11719921	C₂²×C₄	1	1	yes	characteristic
705	#11719921	C₂²×C₄	1	1	yes	characteristic
706	#11719921	C₂²×C₄	1	1	yes	characteristic
707	#11719921	C₂²×C₄	1	1	yes	characteristic
708	#11719921	C₂²×C₄	1	1	yes	characteristic
709	#11719921	C₂²×C₄	1	1	yes	characteristic
710	#11719921	C₂²×C₄	1	1	yes	characteristic
711	#11719921	C₂²×C₄	1	1	yes	characteristic
712	#11719921	C₂²×C₄	1	1	yes	characteristic
713	#11719921	C₂²×C₄	1	1	yes	characteristic
714	#11719921	C₂²×C₄	1	1	yes	characteristic
715	#11719921	C₂²×C₄	1	1	yes	characteristic
716	#11719921	C₂²×C₄	1	1	yes	characteristic
717	#11719921	C₂²×C₄	1	1	yes	characteristic
718	#11719921	C₂²×C₄	1	1	yes	characteristic
719	#11719921	C₂²×C₄	1	1	yes	characteristic
720	#11719921	C₂²×C₄	1	1	yes	characteristic
721	#11719921	C₂²×C₄	1	1	yes	characteristic
722	#11719921	C₂²×C₄	1	1	yes	characteristic
723	#11719921	C₂²×C₄	1	1	yes	characteristic
724	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
730	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
733	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
734	#11719919	C₂²×C₄	1	1	yes	characteristic
735	#11719919	C₂²×C₄	1	1	yes	characteristic
736	#11719919	C₂²×C₄	1	1	yes	characteristic
737	#11719919	C₂²×C₄	1	1	yes	characteristic
738	#11719919	C₂²×C₄	1	1	yes	characteristic
739	#11719919	C₂²×C₄	1	1	yes	characteristic
740	#11719919	C₂²×C₄	1	1	yes	characteristic
741	#11719919	C₂²×C₄	1	1	yes	characteristic
742	#11719919	C₂²×C₄	1	1	yes	characteristic
743	#11719919	C₂²×C₄	1	1	yes	characteristic
744	#11719919	C₂²×C₄	1	1	yes	characteristic
745	#11719919	C₂²×C₄	1	1	yes	characteristic
746	#11719919	C₂²×C₄	1	1	yes	characteristic
747	#11719919	C₂²×C₄	1	1	yes	characteristic
748	#11719919	C₂²×C₄	1	1	yes	characteristic
749	#11719919	C₂²×C₄	1	1	yes	characteristic
750	#11719919	C₂²×C₄	1	1	yes	characteristic
751	#11719919	C₂²×C₄	1	1	yes	characteristic
752	#11719919	C₂²×C₄	1	1	yes	characteristic
753	#11719919	C₂²×C₄	1	1	yes	characteristic
754	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
755	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
756	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
757	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
758	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
759	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
760	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
761	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
762	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
763	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
764	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
765	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
766	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
767	C₂²×D₅₃	—	2	1	no	—
768	C₂²×D₅₃	—	2	1	no	—
769	C₂²×D₅₃	—	2	1	no	—
770	C₂²×D₅₃	—	2	1	no	—
771	C₂²×D₅₃	—	2	1	no	—
772	C₂²×D₅₃	—	2	1	no	—
773	C₂²×D₅₃	—	2	1	no	—
774	C₂²×D₅₃	—	2	1	no	—
775	C₂²×D₅₃	—	2	1	no	—
776	C₂²×D₅₃	—	2	1	no	—
777	C₂²×D₅₃	—	2	1	no	—
778	C₂²×D₅₃	—	2	1	no	—
779	C₂²×D₅₃	—	2	1	no	—
780	C₂²×D₅₃	—	2	1	no	—
781	C₂²×D₅₃	—	2	1	no	—
782	C₂²×D₅₃	—	2	1	no	—
783	C₂²×D₅₃	—	2	1	no	—
784	C₂²×D₅₃	—	2	1	no	—
785	C₂²×D₅₃	—	2	1	no	—
786	C₂²×D₅₃	—	2	1	no	—
787	C₂²×D₅₃	—	2	1	no	—
788	C₂²×D₅₃	—	2	1	no	—
789	C₂²×D₅₃	—	2	1	no	—
790	C₂²×D₅₃	—	2	1	no	—
791	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
792	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
793	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
794	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
795	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
796	C₂×#6157	—	2	1	no	—
797	C₂×#6157	—	2	1	no	—
798	C₂×#6157	—	2	1	no	—
799	C₂×#6157	—	2	1	no	—
800	C₂×#6157	—	2	1	no	—
801	C₂×#6157	—	2	1	no	—
802	C₂×#6157	—	2	1	no	—
803	C₂×#6157	—	2	1	no	—
804	C₂×#6157	—	2	1	no	—
805	C₂×#6157	—	2	1	no	—
806	C₂×#6157	—	2	1	no	—
807	C₂×#6157	—	2	1	no	—
808	C₂×#6157	—	2	1	no	—
809	C₂×#6157	—	2	1	no	—
810	C₂×#6157	—	2	1	no	—
811	C₂×#6157	—	2	1	no	—
812	C₂×#6157	—	2	1	no	—
813	C₂×#6157	—	2	1	no	—
814	C₂×#6157	—	2	1	no	—
815	C₂×#6157	—	2	1	no	—
816	C₂×#6157	—	2	1	no	—
817	C₂×#6157	—	2	1	no	—
818	C₂×#6157	—	2	1	no	—
819	C₂×#6157	—	2	1	no	—
820	C₂×#6157	—	2	1	no	—
821	C₂×#6157	—	2	1	no	—
822	C₂×#6157	—	2	1	no	—
823	C₂×#6157	—	2	1	no	—
824	C₂×#6157	—	2	1	no	—
825	C₂×#6157	—	2	1	no	—
826	C₂×#6157	—	2	1	no	—
827	C₂×#6157	—	2	1	no	—
828	C₂×#6157	—	2	1	no	—
829	C₂×#6157	—	2	1	no	—
830	C₂×#6157	—	2	1	no	—
831	C₂×#6157	—	2	1	no	—
832	C₂×#6157	—	2	1	no	—
833	C₂×#6157	—	2	1	no	—
834	C₂×#6157	—	2	1	no	—
835	C₂×#6157	—	2	1	no	—
836	C₂×#6157	—	2	1	no	—
837	C₂×#6157	—	2	1	no	—
838	C₂×#6157	—	2	1	no	—
839	C₂×#6157	—	2	1	no	—
840	C₂×#6157	—	2	1	no	—
841	C₂×#6157	—	2	1	no	—
842	C₂×#6157	—	2	1	no	—
843	C₂×#6157	—	4	4	no	—
844	C₂×#6157	—	4	4	no	—
845	C₂×#6157	—	8	2	no	—
846	C₂×#6157	—	8	2	no	—
847	C₂×#6157	—	8	2	no	—
848	C₂×#6157	—	8	2	no	—
849	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
850	D₄×C₅₃	—	4	1	no	—
851	D₄×C₅₃	—	4	1	no	—
852	D₄×C₅₃	—	4	1	no	—
853	D₄×C₅₃	—	4	1	no	—
854	D₄×C₅₃	—	4	1	no	—
855	D₄×C₅₃	—	4	1	no	—
856	C₂×C₄×C₅₃	—	4	1	no	—
857	C₂×C₄×C₅₃	—	4	1	no	—
858	C₂×C₄×C₅₃	—	4	1	no	—
859	C₂×C₄×C₅₃	—	4	1	no	—
860	C₂×C₄×C₅₃	—	4	1	no	—
861	C₂×C₄×C₅₃	—	4	1	no	—
862	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
863	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
864	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
865	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
866	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
867	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
868	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
869	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
870	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
871	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
872	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
873	C₂²⋊D₅₃	—	4	1	no	—
874	C₂²⋊D₅₃	—	4	1	no	—
875	C₂²⋊D₅₃	—	4	1	no	—
876	C₂²⋊D₅₃	—	4	1	no	—
877	C₂²⋊D₅₃	—	4	1	no	—
878	C₂²⋊D₅₃	—	4	1	no	—
879	C₂²⋊D₅₃	—	4	1	no	—
880	C₂²⋊D₅₃	—	4	1	no	—
881	C₂²⋊D₅₃	—	4	1	no	—
882	C₂²⋊D₅₃	—	4	1	no	—
883	C₂²⋊D₅₃	—	4	1	no	—
884	C₂²⋊D₅₃	—	4	1	no	—
885	C₂×Dic₅₃	—	4	1	no	—
886	C₂×Dic₅₃	—	4	1	no	—
887	C₂×Dic₅₃	—	4	1	no	—
888	C₂×Dic₅₃	—	4	1	no	—
889	C₂×Dic₅₃	—	4	1	no	—
890	C₂×Dic₅₃	—	4	1	no	—
891	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
892	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
893	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
894	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
895	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
896	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
897	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
898	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
899	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
900	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
901	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
902	D₂₁₂	—	4	1	no	—
903	D₂₁₂	—	4	1	no	—
904	D₂₁₂	—	4	1	no	—
905	D₂₁₂	—	4	1	no	—
906	D₂₁₂	—	4	1	no	—
907	D₂₁₂	—	4	1	no	—
908	C₄×D₅₃	—	2	1	no	—
909	C₄×D₅₃	—	2	1	no	—
910	C₄×D₅₃	—	2	1	no	—
911	C₄×D₅₃	—	2	1	no	—
912	C₄×D₅₃	—	2	1	no	—
913	C₄×D₅₃	—	2	1	no	—
914	C₄×D₅₃	—	2	1	no	—
915	C₄×D₅₃	—	2	1	no	—
916	C₄×D₅₃	—	2	1	no	—
917	C₄×D₅₃	—	2	1	no	—
918	C₄×D₅₃	—	2	1	no	—
919	C₄×D₅₃	—	2	1	no	—
920	C₄×D₅₃	—	2	1	no	—
921	C₄×D₅₃	—	2	1	no	—
922	C₄×D₅₃	—	2	1	no	—
923	C₄×D₅₃	—	2	1	no	—
924	C₄×D₅₃	—	2	1	no	—
925	C₄×D₅₃	—	2	1	no	—
926	C₄×D₅₃	—	2	1	no	—
927	C₄×D₅₃	—	2	1	no	—
928	C₄×D₅₃	—	2	1	no	—
929	C₄×D₅₃	—	2	1	no	—
930	C₄×D₅₃	—	4	1	no	—
931	C₄×D₅₃	—	4	1	no	—
932	C₄×D₅₃	—	4	1	no	—
933	C₄×D₅₃	—	4	1	no	—
934	C₄×D₅₃	—	4	1	no	—
935	C₄×D₅₃	—	4	1	no	—
936	C₄×D₅₃	—	4	1	no	—
937	C₄×D₅₃	—	4	1	no	—
938	C₄×D₅₃	—	4	1	no	—
939	C₄×D₅₃	—	4	1	no	—
940	C₄×D₅₃	—	4	1	no	—
941	C₄×D₅₃	—	4	1	no	—
942	#34509	—	53	1	no	maximal, Sylow
943	C₂²×C₅₃	—	2	1	no	—
944	C₂²×C₅₃	—	2	1	no	—
945	C₂²×C₅₃	—	2	1	no	—
946	C₂²×C₅₃	—	2	1	no	—
947	C₂²×C₅₃	—	2	1	no	—
948	C₂²×C₅₃	—	2	1	no	—
949	C₂²×C₅₃	—	2	1	no	—
950	C₂²×C₅₃	—	2	1	no	—
951	C₂²×C₅₃	—	2	1	no	—
952	C₂²×C₅₃	—	2	1	no	—
953	C₂²×C₅₃	—	2	1	no	—
954	C₂²×C₅₃	—	2	1	no	—
955	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
956	C₂×D₅₃	—	2	1	no	—
957	C₂×D₅₃	—	2	1	no	—
958	C₂×D₅₃	—	2	1	no	—
959	C₂×D₅₃	—	2	1	no	—
960	C₂×D₅₃	—	2	1	no	—
961	C₂×D₅₃	—	2	1	no	—
962	C₂×D₅₃	—	2	1	no	—
963	C₂×D₅₃	—	2	1	no	—
964	C₂×D₅₃	—	2	1	no	—
965	C₂×D₅₃	—	2	1	no	—
966	C₂×D₅₃	—	2	1	no	—
967	C₂×D₅₃	—	2	1	no	—
968	C₂×D₅₃	—	4	1	no	—
969	C₂×D₅₃	—	4	1	no	—
970	C₂×D₅₃	—	4	1	no	—
971	C₂×D₅₃	—	4	1	no	—
972	C₂×D₅₃	—	4	1	no	—
973	C₂×D₅₃	—	4	1	no	—
974	C₂×D₅₃	—	4	1	no	—
975	C₂×D₅₃	—	4	1	no	—
976	C₂×D₅₃	—	4	1	no	—
977	C₂×D₅₃	—	4	1	no	—
978	C₂×D₅₃	—	4	1	no	—
979	C₂×D₅₃	—	4	1	no	—
980	C₂×D₅₃	—	4	1	no	—
981	C₂×D₅₃	—	4	1	no	—
982	C₂×D₅₃	—	4	1	no	—
983	C₂×D₅₃	—	4	1	no	—
984	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
985	C₂×D₅₃	#585	1	1	yes	characteristic
986	C₂×D₅₃	#585	1	1	yes	characteristic
987	C₂×D₅₃	#585	1	1	yes	characteristic
988	C₂×D₅₃	#585	1	1	yes	characteristic
989	C₂×D₅₃	#585	1	1	yes	characteristic
990	#6157	—	2	2	no	—
991	#6157	—	4	1	no	—
992	#6157	—	4	1	no	—
993	#6157	—	4	1	no	—
994	#6157	—	4	1	no	—
995	#6157	—	4	1	no	—
996	#6157	—	4	1	no	—
997	#6157	—	4	1	no	—
998	#6157	—	4	1	no	—
999	#6157	—	4	1	no	—
1000	#6157	—	4	1	no	—
1001	#6157	—	4	1	no	—
1002	#6157	—	4	1	no	—
1003	#6157	—	4	1	no	—
1004	#6157	—	4	1	no	—
1005	#6157	—	4	1	no	—
1006	C₄×C₅₃	—	2	1	no	—
1007	C₄×C₅₃	—	2	1	no	—
1008	C₄×C₅₃	—	2	1	no	—
1009	C₄×C₅₃	—	2	1	no	—
1010	C₄×C₅₃	—	2	1	no	—
1011	C₄×C₅₃	—	2	1	no	—
1012	C₄×C₅₃	—	2	1	no	—
1013	C₄×C₅₃	—	2	1	no	—
1014	C₄×C₅₃	—	2	1	no	—
1015	C₄×C₅₃	—	2	1	no	—
1016	C₄×C₅₃	—	2	1	no	—
1017	Dic₅₃	—	2	1	no	—
1018	Dic₅₃	—	2	1	no	—
1019	Dic₅₃	—	2	1	no	—
1020	Dic₅₃	—	2	1	no	—
1021	Dic₅₃	—	2	1	no	—
1022	Dic₅₃	—	2	1	no	—
1023	Dic₅₃	—	2	1	no	—
1024	Dic₅₃	—	2	1	no	—
1025	Dic₅₃	—	2	1	no	—
1026	Dic₅₃	—	2	1	no	—
1027	Dic₅₃	—	2	1	no	—
1028	C₂×#553	—	53	1	no	—
1029	#2383	—	53	1	no	—
1030	#2377	—	53	1	no	—
1031	#2377	—	53	1	no	—
1032	#2377	—	53	1	no	—
1033	#2374	—	53	1	no	—
1034	#2373	—	53	1	no	—
1035	#2371	—	53	1	no	—
1036	#2363	—	53	1	no	—
1037	#2359	—	53	1	no	—
1038	#2357	—	53	1	no	—
1039	#2354	—	53	1	no	—
1040	#2353	—	53	1	no	—
1041	#2353	—	53	1	no	—
1042	#2344	—	53	1	no	—
1043	#2343	—	53	1	no	—
1044	#2336	—	53	1	no	—
1045	#2335	—	53	1	no	—
1046	#2334	—	53	1	no	—
1047	#2334	—	53	1	no	—
1048	#2333	—	53	1	no	—
1049	#2333	—	53	1	no	—
1050	#2325	—	53	1	no	—
1051	#2324	—	53	1	no	—
1052	#2319	—	53	1	no	—
1053	#2318	—	53	1	no	—
1054	#2314	—	53	1	no	—
1055	#2313	—	53	1	no	—
1056	C₄×#123	—	53	1	no	—
1057	#2290	—	53	1	no	—
1058	#2290	—	53	1	no	—
1059	C₂×C₅₃	—	4	1	no	—
1060	C₂×C₅₃	—	4	1	no	—
1061	C₂×C₅₃	—	4	1	no	—
1062	C₂×C₅₃	—	4	1	no	—
1063	C₂×C₅₃	#3428	1	1	yes	characteristic
1064	C₂×C₅₃	#3428	1	1	yes	characteristic
1065	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1066	D₅₃	—	4	1	no	—
1067	D₅₃	—	4	1	no	—
1068	D₅₃	—	4	1	no	—
1069	D₅₃	—	4	1	no	—
1070	D₅₃	#3533	1	1	yes	characteristic
1071	D₅₃	#3539	1	1	yes	characteristic
1072	D₅₃	#3566	1	1	yes	characteristic
1073	D₅₃	#3566	1	1	yes	characteristic
1074	#553	—	53	1	no	—
1075	#553	—	53	1	no	—
1076	#553	—	53	1	no	—
1077	#553	—	53	1	no	—
1078	#553	—	53	1	no	—
1079	#553	—	53	1	no	—
1080	#553	—	53	1	no	—
1081	#553	—	53	1	no	—
1082	#553	—	53	1	no	—
1083	#553	—	53	1	no	—
1084	#553	—	53	1	no	—
1085	#553	—	53	1	no	—
1086	#553	—	53	1	no	—
1087	#553	—	53	1	no	—
1088	#553	—	53	1	no	—
1089	#553	#6157	1	1	yes	characteristic, complemented
1090	C₂×#126	—	53	1	no	—
1091	C₂×#126	—	53	1	no	—
1092	C₂×#125	—	53	1	no	—
1093	C₂×#123	—	53	1	no	—
1094	C₂×#123	—	53	1	no	—
1095	C₂×#121	—	53	1	no	—
1096	C₂×#121	—	53	1	no	—
1097	C₂×#121	—	53	1	no	—
1098	C₂×#121	—	53	1	no	—
1099	C₂×C₄×D₄	—	53	1	no	—
1100	C₂×C₄×D₄	—	53	1	no	—
1101	C₂×C₄×D₄	—	53	1	no	—
1102	C₂×C₄×D₄	—	53	1	no	—
1103	C₂×C₄×D₄	—	53	1	no	—
1104	C₂×C₄×D₄	—	53	1	no	—
1105	C₂×#117	—	53	1	no	—
1106	C₂×#117	—	53	1	no	—
1107	C₂×#117	—	53	1	no	—
1108	C₂×#117	—	53	1	no	—
1109	C₂²×C₄⋊C₄	—	53	1	no	—
1110	C₂²×C₄²	—	53	1	no	—
1111	#390	—	53	1	no	—
1112	#390	—	53	1	no	—
1113	#390	—	53	1	no	—
1114	#390	—	53	1	no	—
1115	#390	—	53	1	no	—
1116	#390	—	53	1	no	—
1117	#390	—	53	1	no	—
1118	#390	—	53	1	no	—
1119	#389	—	53	1	no	—
1120	#389	—	53	1	no	—
1121	#389	—	53	1	no	—
1122	#389	—	53	1	no	—
1123	#389	—	53	1	no	—
1124	#389	—	53	1	no	—
1125	#388	—	53	1	no	—
1126	#388	—	53	1	no	—
1127	#388	—	53	1	no	—
1128	#388	—	53	1	no	—
1129	#388	—	53	1	no	—
1130	#388	—	53	1	no	—
1131	#388	—	53	1	no	—
1132	#388	—	53	1	no	—
1133	#388	—	53	1	no	—
1134	#388	—	53	1	no	—
1135	#388	—	53	1	no	—
1136	#388	—	53	1	no	—
1137	#388	—	53	1	no	—
1138	#388	—	53	1	no	—
1139	#388	—	53	1	no	—
1140	#388	—	53	1	no	—
1141	#388	—	53	1	no	—
1142	#388	—	53	1	no	—
1143	#388	—	53	1	no	—
1144	#388	—	53	1	no	—
1145	#388	—	53	1	no	—
1146	#388	—	53	1	no	—
1147	#387	—	53	1	no	—
1148	#387	—	53	1	no	—
1149	#387	—	53	1	no	—
1150	#387	—	53	1	no	—
1151	#387	—	53	1	no	—
1152	#387	—	53	1	no	—
1153	#387	—	53	1	no	—
1154	#387	—	53	1	no	—
1155	#387	—	53	1	no	—
1156	#387	—	53	1	no	—
1157	#387	—	53	1	no	—
1158	#387	—	53	1	no	—
1159	#387	—	53	1	no	—
1160	#387	—	53	1	no	—
1161	#387	—	53	1	no	—
1162	#387	—	53	1	no	—
1163	#387	—	53	1	no	—
1164	#387	—	53	1	no	—
1165	#387	—	53	1	no	—
1166	#387	—	53	1	no	—
1167	#387	—	53	1	no	—
1168	#387	—	53	1	no	—
1169	#387	—	53	1	no	—
1170	#387	—	53	1	no	—
1171	#387	—	53	1	no	—
1172	#387	—	53	1	no	—
1173	#386	—	53	1	no	—
1174	#386	—	53	1	no	—
1175	#386	—	53	1	no	—
1176	#386	—	53	1	no	—
1177	#386	—	53	1	no	—
1178	#386	—	53	1	no	—
1179	#386	—	53	1	no	—
1180	#386	—	53	1	no	—
1181	#386	—	53	1	no	—
1182	#386	—	53	1	no	—
1183	#386	—	53	1	no	—
1184	#386	—	53	1	no	—
1185	#386	—	53	1	no	—
1186	#386	—	53	1	no	—
1187	#385	—	53	1	no	—
1188	#385	—	53	1	no	—
1189	#385	—	53	1	no	—
1190	#385	—	53	1	no	—
1191	#385	—	53	1	no	—
1192	#385	—	53	1	no	—
1193	#385	—	53	1	no	—
1194	#385	—	53	1	no	—
1195	#385	—	53	1	no	—
1196	#385	—	53	1	no	—
1197	#384	—	53	1	no	—
1198	#383	—	53	1	no	—
1199	#383	—	53	1	no	—
1200	#382	—	53	1	no	—
1201	#382	—	53	1	no	—
1202	#381	—	53	1	no	—
1203	#381	—	53	1	no	—
1204	#381	—	53	1	no	—
1205	#381	—	53	1	no	—
1206	#381	—	53	1	no	—
1207	#381	—	53	1	no	—
1208	#380	—	53	1	no	—
1209	#380	—	53	1	no	—
1210	#380	—	53	1	no	—
1211	#380	—	53	1	no	—
1212	#380	—	53	1	no	—
1213	#380	—	53	1	no	—
1214	C₄×C₄⋊C₄	—	53	1	no	—
1215	C₄×C₄⋊C₄	—	53	1	no	—
1216	C₄×C₄⋊C₄	—	53	1	no	—
1217	C₄×C₄⋊C₄	—	53	1	no	—
1218	C₄×C₄⋊C₄	—	53	1	no	—
1219	C₄×C₄⋊C₄	—	53	1	no	—
1220	C₄×C₄⋊C₄	—	53	1	no	—
1221	C₄×C₄⋊C₄	—	53	1	no	—
1222	C₄×C₄⋊C₄	—	53	1	no	—
1223	C₄×C₄⋊C₄	—	53	1	no	—
1224	C₄×C₄⋊C₄	—	53	1	no	—
1225	C₄×C₄⋊C₄	—	53	1	no	—
1226	C₄×C₂²⋊C₄	—	53	1	no	—
1227	C₄×C₂²⋊C₄	—	53	1	no	—
1228	C₄×C₂²⋊C₄	—	53	1	no	—
1229	C₄×C₂²⋊C₄	—	53	1	no	—
1230	C₄×C₂²⋊C₄	—	53	1	no	—
1231	C₄×C₂²⋊C₄	—	53	1	no	—
1232	C₄×C₂²⋊C₄	—	53	1	no	—
1233	C₄×C₂²⋊C₄	—	53	1	no	—
1234	C₄×C₂²⋊C₄	—	53	1	no	—
1235	C₄×C₂²⋊C₄	—	53	1	no	—
1236	C₄×C₂²⋊C₄	—	53	1	no	—
1237	C₄×C₂²⋊C₄	—	53	1	no	—
1238	C₄×C₂²⋊C₄	—	53	1	no	—
1239	C₄×C₂²⋊C₄	—	53	1	no	—
1240	#376	—	53	1	no	—
1241	#376	—	53	1	no	—
1242	#376	—	53	1	no	—
1243	C₂×#95	—	53	1	no	—
1244	C₂×#95	—	53	1	no	—
1245	C₅₃	#34509	1	1	yes	characteristic, complemented, Sylow
1246	C₂²×D₄	—	53	1	no	—
1247	C₂²×D₄	—	53	1	no	—
1248	C₂²×D₄	—	53	1	no	—
1249	C₂²×D₄	—	53	1	no	—
1250	C₂²×D₄	—	53	1	no	—
1251	C₂²×D₄	—	53	1	no	—
1252	C₂³×C₄	—	53	1	no	—
1253	C₂³×C₄	—	53	1	no	—
1254	C₂³×C₄	—	53	1	no	—
1255	C₂³×C₄	—	53	1	no	—
1256	C₂³×C₄	—	53	1	no	—
1257	C₂³×C₄	—	53	1	no	—
1258	C₂³×C₄	—	53	1	no	—
1259	C₂³×C₄	—	53	1	no	—
1260	C₂³×C₄	—	53	1	no	—
1261	C₂³×C₄	—	53	1	no	—
1262	C₂³×C₄	—	53	1	no	—
1263	C₂³×C₄	—	53	1	no	—
1264	#126	—	53	1	no	—
1265	#126	—	53	1	no	—
1266	#126	—	53	1	no	—
1267	#126	—	53	1	no	—
1268	#126	—	53	1	no	—
1269	#126	—	53	1	no	—
1270	#126	—	53	1	no	—
1271	#126	—	53	1	no	—
1272	#126	—	53	1	no	—
1273	#126	—	53	1	no	—
1274	#126	—	53	1	no	—
1275	#126	—	53	1	no	—
1276	#126	—	53	1	no	—
1277	#126	—	53	1	no	—
1278	#126	C₂×#6157	1	1	yes	characteristic, complemented
1279	#126	C₂×#6157	1	1	yes	characteristic, complemented
1280	#125	—	53	1	no	—
1281	#125	—	53	1	no	—
1282	#125	—	53	1	no	—
1283	#125	—	53	1	no	—
1284	#125	—	53	1	no	—
1285	#125	—	53	1	no	—
1286	#125	—	53	1	no	—
1287	#125	C₂×#6157	1	1	yes	characteristic, complemented
1288	#123	—	53	1	no	—
1289	#123	—	53	1	no	—
1290	#123	—	53	1	no	—
1291	#123	—	53	1	no	—
1292	#123	—	53	1	no	—
1293	#123	—	53	1	no	—
1294	#123	—	53	1	no	—
1295	#123	—	53	1	no	—
1296	#123	—	53	1	no	—
1297	#123	—	53	1	no	—
1298	#123	—	53	1	no	—
1299	#123	—	53	1	no	—
1300	#123	—	53	1	no	—
1301	#123	—	53	1	no	—
1302	#123	C₂×#6157	1	1	yes	characteristic, complemented
1303	#123	C₂×#6157	1	1	yes	characteristic, complemented
1304	#121	—	53	1	no	—
1305	#121	—	53	1	no	—
1306	#121	—	53	1	no	—
1307	#121	—	53	1	no	—
1308	#121	—	53	1	no	—
1309	#121	—	53	1	no	—
1310	#121	—	53	1	no	—
1311	#121	—	53	1	no	—
1312	#121	—	53	1	no	—
1313	#121	—	53	1	no	—
1314	#121	—	53	1	no	—
1315	#121	—	53	1	no	—
1316	#121	—	53	1	no	—
1317	#121	—	53	1	no	—
1318	#121	—	53	1	no	—
1319	#121	—	53	1	no	—
1320	#121	—	53	1	no	—
1321	#121	—	53	1	no	—
1322	#121	—	53	1	no	—
1323	#121	—	53	1	no	—
1324	#121	—	53	1	no	—
1325	#121	—	53	1	no	—
1326	#121	—	53	1	no	—
1327	#121	—	53	1	no	—
1328	#121	—	53	1	no	—
1329	#121	—	53	1	no	—
1330	#121	—	53	1	no	—
1331	#121	—	53	1	no	—
1332	#121	C₂×#6157	1	1	yes	characteristic
1333	#121	C₂×#6157	1	1	yes	characteristic, complemented
1334	#121	C₂×#6157	1	1	yes	characteristic, complemented
1335	#121	C₂×#6157	1	1	yes	characteristic, complemented
1336	C₄×D₄	—	53	1	no	—
1337	C₄×D₄	—	53	1	no	—
1338	C₄×D₄	—	53	1	no	—
1339	C₄×D₄	—	53	1	no	—
1340	C₄×D₄	—	53	1	no	—
1341	C₄×D₄	—	53	1	no	—
1342	C₄×D₄	—	53	1	no	—
1343	C₄×D₄	—	53	1	no	—
1344	C₄×D₄	—	53	1	no	—
1345	C₄×D₄	—	53	1	no	—
1346	C₄×D₄	—	53	1	no	—
1347	C₄×D₄	—	53	1	no	—
1348	C₄×D₄	—	53	1	no	—
1349	C₄×D₄	—	53	1	no	—
1350	C₄×D₄	—	53	1	no	—
1351	C₄×D₄	—	53	1	no	—
1352	C₄×D₄	—	53	1	no	—
1353	C₄×D₄	—	53	1	no	—
1354	C₄×D₄	—	53	1	no	—
1355	C₄×D₄	—	53	1	no	—
1356	C₄×D₄	—	53	1	no	—
1357	C₄×D₄	—	53	1	no	—
1358	C₄×D₄	—	53	1	no	—
1359	C₄×D₄	—	53	1	no	—
1360	C₄×D₄	—	53	1	no	—
1361	C₄×D₄	—	53	1	no	—
1362	C₄×D₄	—	53	1	no	—
1363	C₄×D₄	—	53	1	no	—
1364	C₄×D₄	—	212	2	no	—
1365	C₄×D₄	—	212	2	no	—
1366	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1367	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1368	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1369	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1370	#117	—	53	1	no	—
1371	#117	—	53	1	no	—
1372	#117	—	53	1	no	—
1373	#117	—	53	1	no	—
1374	#117	—	53	1	no	—
1375	#117	—	53	1	no	—
1376	#117	—	53	1	no	—
1377	#117	—	212	2	no	—
1378	#117	—	212	2	no	—
1379	#117	—	212	2	no	—
1380	#117	C₂×#6157	1	1	yes	characteristic, complemented
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₄⋊C₄	—	53	1	no	—
1383	C₂×C₄⋊C₄	—	53	1	no	—
1384	C₂×C₄⋊C₄	—	53	1	no	—
1385	C₂×C₄⋊C₄	—	53	1	no	—
1386	C₂×C₄⋊C₄	—	53	1	no	—
1387	C₂×C₄⋊C₄	—	53	1	no	—
1388	C₂×C₄⋊C₄	—	53	1	no	—
1389	C₂×C₄⋊C₄	—	53	1	no	—
1390	C₂×C₄⋊C₄	—	53	1	no	—
1391	C₂×C₄⋊C₄	—	53	1	no	—
1392	C₂×C₄⋊C₄	—	53	1	no	—
1393	C₂×C₄⋊C₄	—	53	1	no	—
1394	C₂×C₄⋊C₄	—	53	1	no	—
1395	C₂×C₄⋊C₄	—	53	1	no	—
1396	C₂×C₄⋊C₄	—	53	1	no	—
1397	C₂×C₄⋊C₄	—	53	1	no	—
1398	C₂×C₄⋊C₄	—	53	1	no	—
1399	C₂×C₄⋊C₄	—	53	1	no	—
1400	C₂×C₄⋊C₄	—	53	1	no	—
1401	C₂×C₄⋊C₄	—	53	1	no	—
1402	C₂×C₄⋊C₄	—	53	1	no	—
1403	C₂×C₄⋊C₄	—	53	1	no	—
1404	C₂×C₄⋊C₄	—	53	1	no	—
1405	C₂×C₄⋊C₄	—	53	1	no	—
1406	C₂×C₄⋊C₄	—	53	1	no	—
1407	C₂×C₄⋊C₄	—	53	1	no	—
1408	C₂×C₄⋊C₄	—	53	1	no	—
1409	C₂×C₄⋊C₄	—	53	1	no	—
1410	C₂×C₄⋊C₄	—	53	1	no	—
1411	C₂×C₄⋊C₄	—	53	1	no	—
1412	C₂×C₄⋊C₄	—	53	1	no	—
1413	C₂×C₄⋊C₄	—	53	1	no	—
1414	C₂×C₄⋊C₄	—	53	1	no	—
1415	C₂×C₄⋊C₄	—	53	1	no	—
1416	C₂×C₄⋊C₄	—	53	1	no	—
1417	C₂×C₄⋊C₄	—	53	1	no	—
1418	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1419	C₂×C₂²⋊C₄	—	53	1	no	—
1420	C₂×C₂²⋊C₄	—	53	1	no	—
1421	C₂×C₂²⋊C₄	—	53	1	no	—
1422	C₂×C₂²⋊C₄	—	53	1	no	—
1423	C₂×C₂²⋊C₄	—	53	1	no	—
1424	C₂×C₂²⋊C₄	—	53	1	no	—
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	1	no	—
1427	C₂×C₂²⋊C₄	—	53	1	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	1	no	—
1433	C₂×C₂²⋊C₄	—	53	1	no	—
1434	C₂×C₂²⋊C₄	—	53	1	no	—
1435	C₂×C₂²⋊C₄	—	53	1	no	—
1436	C₂×C₂²⋊C₄	—	53	1	no	—
1437	C₂×C₂²⋊C₄	—	53	1	no	—
1438	C₂×C₂²⋊C₄	—	53	1	no	—
1439	C₂×C₂²⋊C₄	—	53	1	no	—
1440	C₂×C₂²⋊C₄	—	53	1	no	—
1441	C₂×C₂²⋊C₄	—	53	1	no	—
1442	C₂×C₂²⋊C₄	—	53	1	no	—
1443	C₂×C₂²⋊C₄	—	53	1	no	—
1444	C₂×C₂²⋊C₄	—	53	1	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	1	no	—
1451	C₂×C₂²⋊C₄	—	53	1	no	—
1452	C₂×C₂²⋊C₄	—	53	1	no	—
1453	C₂×C₂²⋊C₄	—	53	1	no	—
1454	C₂×C₂²⋊C₄	—	53	1	no	—
1455	C₂×C₄²	—	53	1	no	—
1456	C₂×C₄²	—	53	1	no	—
1457	C₂×C₄²	—	53	1	no	—
1458	C₂×C₄²	—	53	1	no	—
1459	C₂×C₄²	—	53	1	no	—
1460	C₂×C₄²	—	53	1	no	—
1461	C₂×C₄²	—	53	1	no	—
1462	C₂×C₄²	—	53	1	no	—
1463	C₂×C₄²	—	53	1	no	—
1464	C₂×C₄²	—	53	1	no	—
1465	C₂×C₄²	—	53	1	no	—
1466	C₂×C₄²	—	53	1	no	—
1467	C₂×C₄²	—	53	1	no	—
1468	C₂×C₄²	—	53	1	no	—
1469	C₂×C₄²	—	53	1	no	—
1470	C₂×C₄²	—	53	1	no	—
1471	C₂×C₄²	—	53	1	no	—
1472	C₂×C₄²	—	53	1	no	—
1473	C₂×C₄²	—	53	1	no	—
1474	C₂×C₄²	—	53	1	no	—
1475	C₂×C₄²	—	53	1	no	—
1476	C₂×C₄²	—	53	1	no	—
1477	C₂×C₄²	—	53	1	no	—
1478	C₂×C₄²	—	212	2	no	—
1479	#95	—	53	1	no	—
1480	#95	—	53	1	no	—
1481	#95	—	53	1	no	—
1482	#95	—	53	1	no	—
1483	#95	—	53	1	no	—
1484	#95	—	53	1	no	—
1485	#95	—	53	1	no	—
1486	#95	—	53	1	no	—
1487	#95	—	53	1	no	—
1488	#95	—	53	1	no	—
1489	#95	—	53	1	no	—
1490	#95	—	53	1	no	—
1491	#95	—	53	1	no	—
1492	#95	—	53	1	no	—
1493	#95	—	53	1	no	—
1494	#95	—	53	1	no	—
1495	#95	—	53	1	no	—
1496	#95	—	53	1	no	—
1497	#95	—	53	1	no	—
1498	#95	—	53	1	no	—
1499	#95	—	53	1	no	—
1500	#95	—	53	1	no	—
1501	#95	—	53	1	no	—
1502	#95	—	53	1	no	—
1503	#95	—	53	1	no	—
1504	#95	—	53	1	no	—
1505	#95	—	53	1	no	—
1506	#95	—	53	1	no	—
1507	#95	—	53	1	no	—
1508	#95	—	53	1	no	—
1509	#95	—	53	1	no	—
1510	#95	—	53	1	no	—
1511	#95	—	53	1	no	—
1512	#95	—	53	1	no	—
1513	#95	—	53	1	no	—
1514	#95	—	53	1	no	—
1515	#95	—	53	1	no	—
1516	#95	—	53	1	no	—
1517	#95	—	53	1	no	—
1518	#95	—	53	1	no	—
1519	#95	—	53	1	no	—
1520	#95	—	53	1	no	—
1521	#95	—	53	1	no	—
1522	#95	—	53	1	no	—
1523	#95	—	53	1	no	—
1524	#95	—	53	1	no	—
1525	#95	—	53	1	no	—
1526	#95	—	53	1	no	—
1527	C₂⁴	—	53	1	no	—
1528	C₂⁴	—	53	1	no	—
1529	C₂⁴	—	53	1	no	—
1530	C₂⁴	—	53	1	no	—
1531	C₂×D₄	—	53	1	no	—
1532	C₂×D₄	—	53	1	no	—
1533	C₂×D₄	—	53	1	no	—
1534	C₂×D₄	—	53	1	no	—
1535	C₂×D₄	—	53	1	no	—
1536	C₂×D₄	—	53	1	no	—
1537	C₂×D₄	—	53	1	no	—
1538	C₂×D₄	—	53	1	no	—
1539	C₂×D₄	—	53	1	no	—
1540	C₂×D₄	—	53	1	no	—
1541	C₂×D₄	—	53	1	no	—
1542	C₂×D₄	—	53	1	no	—
1543	C₂×D₄	—	53	1	no	—
1544	C₂×D₄	—	53	1	no	—
1545	C₂×D₄	—	53	1	no	—
1546	C₂×D₄	—	53	1	no	—
1547	C₂×D₄	—	53	1	no	—
1548	C₂×D₄	—	53	1	no	—
1549	C₂×D₄	—	212	1	no	—
1550	C₂×D₄	—	212	1	no	—
1551	C₂×D₄	—	212	1	no	—
1552	C₂×D₄	—	212	1	no	—
1553	C₂×D₄	—	212	1	no	—
1554	C₂×D₄	—	212	1	no	—
1555	C₂×D₄	—	212	1	no	—
1556	C₂×D₄	—	212	1	no	—
1557	C₂×D₄	—	212	1	no	—
1558	C₂×D₄	—	212	1	no	—
1559	C₂×D₄	—	212	1	no	—
1560	C₂×D₄	—	212	1	no	—
1561	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1562	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1563	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1564	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1565	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1566	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1567	C₂²×C₄	—	53	1	no	—
1568	C₂²×C₄	—	53	1	no	—
1569	C₂²×C₄	—	53	1	no	—
1570	C₂²×C₄	—	53	1	no	—
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	1	no	—
1574	C₂²×C₄	—	53	1	no	—
1575	C₂²×C₄	—	53	1	no	—
1576	C₂²×C₄	—	53	1	no	—
1577	C₂²×C₄	—	53	1	no	—
1578	C₂²×C₄	—	53	1	no	—
1579	C₂²×C₄	—	53	1	no	—
1580	C₂²×C₄	—	53	1	no	—
1581	C₂²×C₄	—	53	1	no	—
1582	C₂²×C₄	—	53	1	no	—
1583	C₂²×C₄	—	53	1	no	—
1584	C₂²×C₄	—	53	1	no	—
1585	C₂²×C₄	—	53	1	no	—
1586	C₂²×C₄	—	53	1	no	—
1587	C₂²×C₄	—	53	1	no	—
1588	C₂²×C₄	—	53	1	no	—
1589	C₂²×C₄	—	53	1	no	—
1590	C₂²×C₄	—	53	1	no	—
1591	C₂²×C₄	—	53	1	no	—
1592	C₂²×C₄	—	53	1	no	—
1593	C₂²×C₄	—	53	1	no	—
1594	C₂²×C₄	—	53	1	no	—
1595	C₂²×C₄	—	53	1	no	—
1596	C₂²×C₄	—	53	1	no	—
1597	C₂²×C₄	—	53	1	no	—
1598	C₂²×C₄	—	53	1	no	—
1599	C₂²×C₄	—	53	1	no	—
1600	C₂²×C₄	—	53	1	no	—
1601	C₂²×C₄	—	53	1	no	—
1602	C₂²×C₄	—	53	1	no	—
1603	C₂²×C₄	—	53	1	no	—
1604	C₂²×C₄	—	53	1	no	—
1605	C₂²×C₄	—	53	1	no	—
1606	C₂²×C₄	—	53	1	no	—
1607	C₂²×C₄	—	53	1	no	—
1608	C₂²×C₄	—	53	1	no	—
1609	C₂²×C₄	—	53	1	no	—
1610	C₂²×C₄	—	53	1	no	—
1611	C₂²×C₄	—	53	1	no	—
1612	C₂²×C₄	—	106	2	no	—
1613	C₂²×C₄	—	106	2	no	—
1614	C₂²×C₄	—	212	1	no	—
1615	C₂²×C₄	—	212	1	no	—
1616	C₂²×C₄	—	212	1	no	—
1617	C₂²×C₄	—	212	1	no	—
1618	C₂²×C₄	—	212	1	no	—
1619	C₂²×C₄	—	212	1	no	—
1620	C₂²×C₄	—	212	1	no	—
1621	C₂²×C₄	—	212	1	no	—
1622	C₂²×C₄	—	212	1	no	—
1623	C₂²×C₄	—	212	1	no	—
1624	C₂²×C₄	—	212	1	no	—
1625	C₂²×C₄	—	212	1	no	—
1626	C₂²×C₄	—	212	1	no	—
1627	C₂²×C₄	—	212	1	no	—
1628	C₂²×C₄	—	212	1	no	—
1629	C₂²×C₄	—	212	1	no	—
1630	C₂²×C₄	—	212	1	no	—
1631	C₂²×C₄	—	212	1	no	—
1632	C₂²×C₄	—	212	1	no	—
1633	C₂²×C₄	—	212	1	no	—
1634	C₂²×C₄	—	212	1	no	—
1635	C₂²×C₄	—	212	1	no	—
1636	C₂²×C₄	—	212	1	no	—
1637	C₂²×C₄	—	212	1	no	—
1638	C₂²×C₄	—	212	1	no	—
1639	C₂²×C₄	—	212	1	no	—
1640	C₂²×C₄	—	212	1	no	—
1641	C₂²×C₄	—	212	1	no	—
1642	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1643	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1644	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1645	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1646	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1647	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1648	C₄⋊C₄	—	53	1	no	—
1649	C₄⋊C₄	—	53	1	no	—
1650	C₄⋊C₄	—	53	1	no	—
1651	C₄⋊C₄	—	53	1	no	—
1652	C₄⋊C₄	—	53	1	no	—
1653	C₄⋊C₄	—	53	1	no	—
1654	C₄⋊C₄	—	53	1	no	—
1655	C₄⋊C₄	—	53	1	no	—
1656	C₄⋊C₄	—	53	1	no	—
1657	C₄⋊C₄	—	53	1	no	—
1658	C₄⋊C₄	—	53	1	no	—
1659	C₄⋊C₄	—	53	1	no	—
1660	C₄⋊C₄	—	53	1	no	—
1661	C₄⋊C₄	—	53	1	no	—
1662	C₄⋊C₄	—	53	1	no	—
1663	C₄⋊C₄	—	53	1	no	—
1664	C₄⋊C₄	—	53	1	no	—
1665	C₄⋊C₄	—	53	1	no	—
1666	C₄⋊C₄	—	53	1	no	—
1667	C₄⋊C₄	—	53	1	no	—
1668	C₄⋊C₄	—	53	1	no	—
1669	C₄⋊C₄	—	53	1	no	—
1670	C₄⋊C₄	—	53	1	no	—
1671	C₄⋊C₄	—	53	1	no	—
1672	C₄⋊C₄	—	53	1	no	—
1673	C₄⋊C₄	—	53	1	no	—
1674	C₄⋊C₄	—	53	1	no	—
1675	C₄⋊C₄	—	53	1	no	—
1676	C₄⋊C₄	—	53	1	no	—
1677	C₄⋊C₄	—	53	1	no	—
1678	C₄⋊C₄	—	106	2	no	—
1679	C₄⋊C₄	—	106	2	no	—
1680	C₄⋊C₄	—	212	1	no	—
1681	C₄⋊C₄	—	212	1	no	—
1682	C₄⋊C₄	—	212	1	no	—
1683	C₄⋊C₄	—	212	1	no	—
1684	C₄⋊C₄	—	212	1	no	—
1685	C₄⋊C₄	—	212	1	no	—
1686	C₄⋊C₄	—	212	1	no	—
1687	C₄⋊C₄	—	212	1	no	—
1688	C₄⋊C₄	—	212	1	no	—
1689	C₄⋊C₄	—	212	1	no	—
1690	C₄⋊C₄	—	212	1	no	—
1691	C₄⋊C₄	—	212	1	no	—
1692	C₄⋊C₄	—	212	1	no	—
1693	C₄⋊C₄	—	212	1	no	—
1694	C₄⋊C₄	—	212	1	no	—
1695	C₄⋊C₄	—	212	1	no	—
1696	C₄⋊C₄	—	212	1	no	—
1697	C₄⋊C₄	—	212	1	no	—
1698	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1699	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1700	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1701	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1702	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1703	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1704	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1705	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1706	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1707	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1708	C₂²⋊C₄	—	53	1	no	—
1709	C₂²⋊C₄	—	53	1	no	—
1710	C₂²⋊C₄	—	53	1	no	—
1711	C₂²⋊C₄	—	53	1	no	—
1712	C₂²⋊C₄	—	53	1	no	—
1713	C₂²⋊C₄	—	53	1	no	—
1714	C₂²⋊C₄	—	53	1	no	—
1715	C₂²⋊C₄	—	53	1	no	—
1716	C₂²⋊C₄	—	53	1	no	—
1717	C₂²⋊C₄	—	53	1	no	—
1718	C₂²⋊C₄	—	53	1	no	—
1719	C₂²⋊C₄	—	53	1	no	—
1720	C₂²⋊C₄	—	53	1	no	—
1721	C₂²⋊C₄	—	53	1	no	—
1722	C₂²⋊C₄	—	53	1	no	—
1723	C₂²⋊C₄	—	53	1	no	—
1724	C₂²⋊C₄	—	53	1	no	—
1725	C₂²⋊C₄	—	53	1	no	—
1726	C₂²⋊C₄	—	53	1	no	—
1727	C₂²⋊C₄	—	53	1	no	—
1728	C₂²⋊C₄	—	53	1	no	—
1729	C₂²⋊C₄	—	53	1	no	—
1730	C₂²⋊C₄	—	53	1	no	—
1731	C₂²⋊C₄	—	53	1	no	—
1732	C₂²⋊C₄	—	53	1	no	—
1733	C₂²⋊C₄	—	53	1	no	—
1734	C₂²⋊C₄	—	53	1	no	—
1735	C₂²⋊C₄	—	53	1	no	—
1736	C₂²⋊C₄	—	53	1	no	—
1737	C₂²⋊C₄	—	53	1	no	—
1738	C₂²⋊C₄	—	106	2	no	—
1739	C₂²⋊C₄	—	106	2	no	—
1740	C₂²⋊C₄	—	212	1	no	—
1741	C₂²⋊C₄	—	212	1	no	—
1742	C₂²⋊C₄	—	212	1	no	—
1743	C₂²⋊C₄	—	212	1	no	—
1744	C₂²⋊C₄	—	212	1	no	—
1745	C₂²⋊C₄	—	212	1	no	—
1746	C₂²⋊C₄	—	212	1	no	—
1747	C₂²⋊C₄	—	212	1	no	—
1748	C₂²⋊C₄	—	212	1	no	—
1749	C₂²⋊C₄	—	212	1	no	—
1750	C₂²⋊C₄	—	212	1	no	—
1751	C₂²⋊C₄	—	212	1	no	—
1752	C₂²⋊C₄	—	212	1	no	—
1753	C₂²⋊C₄	—	212	1	no	—
1754	C₂²⋊C₄	—	212	1	no	—
1755	C₂²⋊C₄	—	212	1	no	—
1756	C₂²⋊C₄	—	212	1	no	—
1757	C₂²⋊C₄	—	212	1	no	—
1758	C₂²⋊C₄	—	212	1	no	—
1759	C₂²⋊C₄	—	212	1	no	—
1760	C₂²⋊C₄	—	212	1	no	—
1761	C₂²⋊C₄	—	212	1	no	—
1762	C₂²⋊C₄	—	212	1	no	—
1763	C₂²⋊C₄	—	212	1	no	—
1764	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1765	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1766	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1767	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1768	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1769	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1770	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1771	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1772	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1773	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1774	C₄²	—	53	1	no	—
1775	C₄²	—	53	1	no	—
1776	C₄²	—	53	1	no	—
1777	C₄²	—	53	1	no	—
1778	C₄²	—	53	1	no	—
1779	C₄²	—	53	1	no	—
1780	C₄²	—	53	1	no	—
1781	C₄²	—	53	1	no	—
1782	C₄²	—	53	1	no	—
1783	C₄²	—	106	2	no	—
1784	C₄²	—	106	2	no	—
1785	C₄²	—	106	2	no	—
1786	C₄²	—	212	1	no	—
1787	C₄²	—	212	1	no	—
1788	C₄²	—	212	1	no	—
1789	C₄²	—	212	1	no	—
1790	C₄²	—	212	1	no	—
1791	C₄²	—	212	1	no	—
1792	C₄²	—	212	1	no	—
1793	C₄²	—	212	1	no	—
1794	C₄²	—	212	1	no	—
1795	C₄²	—	212	1	no	—
1796	C₄²	—	212	1	no	—
1797	C₄²	—	212	1	no	—
1798	C₄²	—	212	1	no	—
1799	C₄²	—	212	1	no	—
1800	C₄²	—	212	1	no	—
1801	C₄²	—	212	1	no	—
1802	C₄²	—	212	1	no	—
1803	C₄²	C₂²×#6157	1	1	yes	characteristic
1804	C₄²	C₂²×#6157	1	1	yes	characteristic
1805	C₄²	C₂²×#6157	1	1	yes	characteristic
1806	C₂³	—	53	1	no	—
1807	C₂³	—	53	1	no	—
1808	C₂³	—	53	1	no	—
1809	C₂³	—	53	1	no	—
1810	C₂³	—	53	1	no	—
1811	C₂³	—	106	1	no	—
1812	C₂³	—	106	1	no	—
1813	C₂³	—	106	1	no	—
1814	C₂³	—	106	1	no	—
1815	C₂³	—	106	1	no	—
1816	C₂³	—	106	1	no	—
1817	C₂³	—	106	1	no	—
1818	C₂³	—	106	1	no	—
1819	C₂³	—	106	1	no	—
1820	C₂³	—	106	1	no	—
1821	C₂³	—	106	1	no	—
1822	C₂³	—	106	1	no	—
1823	C₂³	—	106	1	no	—
1824	C₂³	—	106	1	no	—
1825	C₂³	—	106	1	no	—
1826	C₂³	—	106	1	no	—
1827	C₂³	—	106	1	no	—
1828	C₂³	—	106	1	no	—
1829	C₂³	—	106	1	no	—
1830	C₂³	—	106	1	no	—
1831	C₂³	—	106	1	no	—
1832	C₂³	—	106	1	no	—
1833	C₂³	—	106	1	no	—
1834	C₂³	—	106	1	no	—
1835	C₂³	C₂³×#6157	1	1	yes	characteristic
1836	C₂³	C₂³×#6157	1	1	yes	characteristic
1837	C₂³	C₂³×#6157	1	1	yes	characteristic
1838	C₂³	C₂³×#6157	1	1	yes	characteristic
1839	D₄	—	4	1	no	—
1840	D₄	—	4	1	no	—
1841	D₄	—	4	1	no	—
1842	D₄	—	4	1	no	—
1843	D₄	—	4	1	no	—
1844	D₄	—	4	1	no	—
1845	D₄	—	212	1	no	—
1846	D₄	—	212	1	no	—
1847	D₄	—	212	1	no	—
1848	D₄	—	212	1	no	—
1849	D₄	—	212	1	no	—
1850	D₄	—	212	1	no	—
1851	D₄	—	212	1	no	—
1852	D₄	—	212	1	no	—
1853	D₄	—	212	1	no	—
1854	D₄	—	212	1	no	—
1855	D₄	—	212	1	no	—
1856	D₄	—	212	1	no	—
1857	D₄	—	212	1	no	—
1858	D₄	—	212	1	no	—
1859	D₄	—	212	1	no	—
1860	D₄	—	212	1	no	—
1861	D₄	—	212	1	no	—
1862	D₄	—	212	1	no	—
1863	C₂×C₄	—	4	1	no	—
1864	C₂×C₄	—	4	1	no	—
1865	C₂×C₄	—	4	1	no	—
1866	C₂×C₄	—	4	1	no	—
1867	C₂×C₄	—	4	1	no	—
1868	C₂×C₄	—	4	1	no	—
1869	C₂×C₄	—	53	2	no	—
1870	C₂×C₄	—	53	1	no	—
1871	C₂×C₄	—	53	1	no	—
1872	C₂×C₄	—	53	1	no	—
1873	C₂×C₄	—	53	1	no	—
1874	C₂×C₄	—	53	1	no	—
1875	C₂×C₄	—	53	1	no	—
1876	C₂×C₄	—	53	1	no	—
1877	C₂×C₄	—	53	1	no	—
1878	C₂×C₄	—	53	1	no	—
1879	C₂×C₄	—	53	1	no	—
1880	C₂×C₄	—	53	1	no	—
1881	C₂×C₄	—	106	1	no	—
1882	C₂×C₄	—	106	1	no	—
1883	C₂×C₄	—	106	1	no	—
1884	C₂×C₄	—	106	1	no	—
1885	C₂×C₄	—	106	1	no	—
1886	C₂×C₄	—	106	1	no	—
1887	C₂×C₄	—	106	1	no	—
1888	C₂×C₄	—	106	1	no	—
1889	C₂×C₄	—	106	1	no	—
1890	C₂×C₄	—	106	1	no	—
1891	C₂×C₄	—	106	1	no	—
1892	C₂×C₄	—	106	1	no	—
1893	C₂×C₄	—	106	1	no	—
1894	C₂×C₄	—	106	1	no	—
1895	C₂×C₄	—	106	1	no	—
1896	C₂×C₄	—	106	1	no	—
1897	C₂×C₄	—	106	1	no	—
1898	C₂×C₄	—	106	1	no	—
1899	C₂×C₄	—	106	1	no	—
1900	C₂×C₄	—	106	1	no	—
1901	C₂×C₄	—	106	1	no	—
1902	C₂×C₄	—	106	1	no	—
1903	C₂×C₄	—	106	1	no	—
1904	C₂×C₄	—	106	1	no	—
1905	C₂×C₄	—	106	1	no	—
1906	C₂×C₄	—	106	1	no	—
1907	C₂×C₄	—	106	1	no	—
1908	C₂×C₄	—	106	1	no	—
1909	C₂×C₄	—	106	1	no	—
1910	C₂×C₄	—	106	1	no	—
1911	C₂×C₄	—	106	1	no	—
1912	C₂×C₄	—	106	1	no	—
1913	C₂×C₄	—	106	1	no	—
1914	C₂×C₄	—	106	1	no	—
1915	C₂×C₄	—	106	1	no	—
1916	C₂×C₄	—	106	1	no	—
1917	C₂×C₄	—	106	1	no	—
1918	C₂×C₄	—	106	1	no	—
1919	C₂×C₄	—	106	1	no	—
1920	C₂×C₄	—	106	1	no	—
1921	C₂×C₄	—	106	1	no	—
1922	C₂×C₄	—	106	1	no	—
1923	C₂×C₄	—	106	1	no	—
1924	C₂×C₄	—	106	1	no	—
1925	C₂×C₄	—	106	1	no	—
1926	C₂×C₄	—	106	1	no	—
1927	C₂×C₄	—	106	1	no	—
1928	C₂×C₄	—	106	1	no	—
1929	C₂×C₄	—	106	1	no	—
1930	C₂×C₄	—	106	1	no	—
1931	C₂×C₄	—	106	1	no	—
1932	C₂×C₄	—	106	1	no	—
1933	C₂×C₄	—	106	1	no	—
1934	C₂×C₄	—	106	1	no	—
1935	C₂×C₄	—	106	1	no	—
1936	C₂×C₄	—	106	1	no	—
1937	C₂×C₄	—	106	1	no	—
1938	C₂×C₄	—	106	1	no	—
1939	C₂×C₄	—	106	1	no	—
1940	C₂×C₄	—	106	1	no	—
1941	C₂×C₄	—	106	1	no	—
1942	C₂×C₄	—	106	1	no	—
1943	C₂×C₄	—	106	1	no	—
1944	C₂×C₄	—	106	1	no	—
1945	C₂×C₄	—	106	1	no	—
1946	C₂×C₄	—	106	1	no	—
1947	C₂×C₄	—	106	1	no	—
1948	C₂×C₄	—	106	1	no	—
1949	C₂×C₄	—	106	1	no	—
1950	C₂×C₄	—	424	2	no	—
1951	C₂×C₄	—	424	2	no	—
1952	C₂×C₄	—	424	2	no	—
1953	C₂×C₄	—	424	2	no	—
1954	C₂×C₄	—	212	1	no	—
1955	C₂×C₄	—	212	1	no	—
1956	C₂×C₄	—	212	1	no	—
1957	C₂×C₄	—	212	1	no	—
1958	C₂×C₄	—	212	1	no	—
1959	C₂×C₄	—	212	1	no	—
1960	C₂×C₄	—	212	1	no	—
1961	C₂×C₄	—	212	1	no	—
1962	C₂×C₄	—	212	1	no	—
1963	C₂×C₄	—	212	1	no	—
1964	C₂×C₄	—	212	1	no	—
1965	C₂×C₄	—	212	1	no	—
1966	C₂×C₄	—	212	1	no	—
1967	C₂×C₄	—	212	1	no	—
1968	C₂×C₄	—	212	1	no	—
1969	C₂×C₄	—	212	1	no	—
1970	C₂×C₄	—	212	1	no	—
1971	C₂×C₄	—	212	1	no	—
1972	C₂×C₄	—	212	4	no	—
1973	C₂×C₄	—	212	4	no	—
1974	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1975	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1976	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1977	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1978	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1979	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1980	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1981	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1982	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1983	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1984	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1985	C₂²	—	2	1	no	—
1986	C₂²	—	2	1	no	—
1987	C₂²	—	2	1	no	—
1988	C₂²	—	2	1	no	—
1989	C₂²	—	2	1	no	—
1990	C₂²	—	2	1	no	—
1991	C₂²	—	2	1	no	—
1992	C₂²	—	2	1	no	—
1993	C₂²	—	2	1	no	—
1994	C₂²	—	2	1	no	—
1995	C₂²	—	2	1	no	—
1996	C₂²	—	2	1	no	—
1997	C₂²	—	53	1	no	—
1998	C₂²	—	53	1	no	—
1999	C₂²	—	53	1	no	—
2000	C₂²	—	53	1	no	—
2001	C₂²	—	53	1	no	—
2002	C₂²	—	53	1	no	—
2003	C₂²	—	106	1	no	—
2004	C₂²	—	106	1	no	—
2005	C₂²	—	106	1	no	—
2006	C₂²	—	106	1	no	—
2007	C₂²	—	106	1	no	—
2008	C₂²	—	106	1	no	—
2009	C₂²	—	106	1	no	—
2010	C₂²	—	106	1	no	—
2011	C₂²	—	106	1	no	—
2012	C₂²	—	106	1	no	—
2013	C₂²	—	106	1	no	—
2014	C₂²	—	106	1	no	—
2015	C₂²	—	212	1	no	—
2016	C₂²	—	212	1	no	—
2017	C₂²	—	212	1	no	—
2018	C₂²	—	212	1	no	—
2019	C₂²	—	212	1	no	—
2020	C₂²	—	212	1	no	—
2021	C₂²	—	212	1	no	—
2022	C₂²	—	212	1	no	—
2023	C₂²	—	212	1	no	—
2024	C₂²	—	212	1	no	—
2025	C₂²	—	212	1	no	—
2026	C₂²	—	212	1	no	—
2027	C₂²	—	212	1	no	—
2028	C₂²	—	212	1	no	—
2029	C₂²	—	212	1	no	—
2030	C₂²	—	212	1	no	—
2031	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2032	C₄	—	2	1	no	—
2033	C₄	—	2	1	no	—
2034	C₄	—	2	1	no	—
2035	C₄	—	2	1	no	—
2036	C₄	—	2	1	no	—
2037	C₄	—	2	1	no	—
2038	C₄	—	2	1	no	—
2039	C₄	—	2	1	no	—
2040	C₄	—	2	1	no	—
2041	C₄	—	2	1	no	—
2042	C₄	—	2	1	no	—
2043	C₄	—	106	2	no	—
2044	C₄	—	106	1	no	—
2045	C₄	—	106	1	no	—
2046	C₄	—	106	1	no	—
2047	C₄	—	106	1	no	—
2048	C₄	—	106	1	no	—
2049	C₄	—	106	1	no	—
2050	C₄	—	106	1	no	—
2051	C₄	—	106	1	no	—
2052	C₄	—	106	1	no	—
2053	C₄	—	106	1	no	—
2054	C₄	—	106	1	no	—
2055	C₄	—	212	1	no	—
2056	C₄	—	212	1	no	—
2057	C₄	—	212	1	no	—
2058	C₄	—	212	1	no	—
2059	C₄	—	212	1	no	—
2060	C₄	—	212	1	no	—
2061	C₄	—	212	1	no	—
2062	C₄	—	212	1	no	—
2063	C₄	—	212	1	no	—
2064	C₄	—	212	1	no	—
2065	C₄	—	212	1	no	—
2066	C₄	—	212	1	no	—
2067	C₄	—	212	1	no	—
2068	C₄	—	212	1	no	—
2069	C₄	—	212	1	no	—
2070	C₂	—	4	1	no	—
2071	C₂	—	4	1	no	—
2072	C₂	—	4	1	no	—
2073	C₂	—	4	1	no	—
2074	C₂	—	53	1	no	—
2075	C₂	—	53	1	no	—
2076	C₂	—	53	1	no	—
2077	C₂	—	53	1	no	—
2078	C₂	—	212	1	no	—
2079	C₂	—	212	1	no	—
2080	C₂	—	212	1	no	—
2081	C₂	—	212	1	no	—
2082	C₂	#20291695	1	1	yes	characteristic
2083	C₂	#20291695	1	1	yes	characteristic
2084	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#553	C₄
prime radical	#553×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#553	#6157
hypocenter	C₅₃	#34509
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #553

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20291262	C₂	semidirect
2. #20291256	C₂	semidirect
3. #20291256	C₂	semidirect
4. #20291256	C₂	semidirect
5. #20291253	C₂	semidirect
6. #20291252	C₂	semidirect
7. #20291250	C₂	semidirect
8. #20291242	C₂	semidirect
9. #20291238	C₂	semidirect
10. #20291236	C₂	semidirect
11. #20291233	C₂	semidirect
12. #20291232	C₂	semidirect
13. #20291232	C₂	semidirect
14. #20291223	C₂	semidirect
15. #20291222	C₂	semidirect
16. #20291215	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291213	C₂	semidirect
19. #20291213	C₂	semidirect
20. #20291212	C₂	semidirect
21. #20291212	C₂	semidirect
22. #20291204	C₂	semidirect
23. #20291203	C₂	semidirect
24. #20291198	C₂	semidirect
25. #20291197	C₂	semidirect
26. #20291193	C₂	semidirect
27. #20291192	C₂	semidirect
28. #123×#6157	C₂	semidirect
29. #20291169	C₂	semidirect
30. #20291169	C₂	semidirect
172. #16811326	C₄	semidirect
173. #16811325	C₄	semidirect
174. #16811324	C₄	semidirect
175. #16811324	C₄	semidirect
176. #16811323	C₄	semidirect
177. #16811322	C₄	semidirect
178. #16811322	C₄	semidirect
179. #16811321	C₄	semidirect
180. #16811320	C₄	semidirect
181. #16811319	C₄	semidirect
182. #16811318	C₄	semidirect
183. #16811318	C₄	semidirect
184. #16811317	C₄	semidirect
185. #16811316	C₄	semidirect
186. #16811316	C₄	semidirect
202. C₅₃×#553	C₄	semidirect
341. #13133212	C₂×C₄	semidirect
342. #13133212	C₂×C₄	semidirect
343. #13133212	C₂×C₄	semidirect
344. #13133212	C₂×C₄	semidirect
345. #13133212	C₂×C₄	semidirect
346. #13133212	C₂×C₄	semidirect
347. #13133211	C₂×C₄	semidirect
348. #13133211	C₂×C₄	semidirect
349. #13133210	C₂×C₄	semidirect
350. #13133210	C₂×C₄	semidirect
351. #13133210	C₂×C₄	semidirect
352. #13133210	C₂×C₄	semidirect
353. #13133210	C₂×C₄	semidirect
354. #13133210	C₂×C₄	semidirect
355. #13133209	C₂×C₄	semidirect
356. #13133208	C₂×C₄	semidirect
357. #13133208	C₂×C₄	semidirect
358. #13133207	C₂×C₄	semidirect
359. #13133207	C₂×C₄	semidirect
360. #13133207	C₂×C₄	semidirect
361. #13133207	C₂×C₄	semidirect
362. #13133202	C₂×C₄	semidirect
363. #13133202	C₂×C₄	semidirect
364. #13133202	C₂×C₄	semidirect
365. #13133202	C₂×C₄	semidirect
366. #13133201	C₂×C₄	semidirect
367. #13133201	C₂×C₄	semidirect
368. #13133200	C₂×C₄	semidirect
369. #13133200	C₂×C₄	semidirect
370. #13133199	C₂×C₄	semidirect
371. #13133199	C₂×C₄	semidirect
372. #13133199	C₂×C₄	semidirect
373. #13133199	C₂×C₄	semidirect
374. #13133198	C₂×C₄	semidirect
375. #13133198	C₂×C₄	semidirect
377. #13133192	C₂×C₄	semidirect
378. #13133192	C₂×C₄	semidirect
379. #13133192	C₂×C₄	semidirect
381. #13133191	C₂×C₄	semidirect
382. #13133191	C₂×C₄	semidirect
383. #13133191	C₂×C₄	semidirect
386. #13133190	C₂×C₄	semidirect
387. #13133190	C₂×C₄	semidirect
388. #13133190	C₂×C₄	semidirect
389. #13133190	C₂×C₄	semidirect
390. #13133190	C₂×C₄	semidirect
391. #13133190	C₂×C₄	semidirect
394. #13133189	C₂×C₄	semidirect
395. #13133189	C₂×C₄	semidirect
396. #13133189	C₂×C₄	semidirect
397. #13133189	C₂×C₄	semidirect
398. #13133189	C₂×C₄	semidirect
399. #13133189	C₂×C₄	semidirect
401. #13133188	C₂×C₄	semidirect
402. #13133188	C₂×C₄	semidirect
403. #13133188	C₂×C₄	semidirect
404. C₄×D₂₁₂	C₂×C₄	semidirect
405. C₄×D₂₁₂	C₂×C₄	semidirect
406. C₄×D₂₁₂	C₂×C₄	semidirect
407. C₄×D₂₁₂	C₂×C₄	semidirect
408. D₄×Dic₅₃	C₂×C₄	semidirect
409. D₄×Dic₅₃	C₂×C₄	semidirect
410. D₄×Dic₅₃	C₂×C₄	semidirect
411. D₄×Dic₅₃	C₂×C₄	semidirect
412. #13133179	C₂×C₄	semidirect
413. #13133179	C₂×C₄	semidirect
414. #13133179	C₂×C₄	semidirect
415. #13133179	C₂×C₄	semidirect
416. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
417. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
418. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
419. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
420. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
421. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
422. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
423. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
424. #13133177	C₂×C₄	semidirect
425. #13133177	C₂×C₄	semidirect
426. #13133177	C₂×C₄	semidirect
427. #13133177	C₂×C₄	semidirect
428. #13133177	C₂×C₄	semidirect
429. #13133177	C₂×C₄	semidirect
430. #13133177	C₂×C₄	semidirect
431. #13133177	C₂×C₄	semidirect
432. #13133176	C₂×C₄	semidirect
433. #13133175	C₂×C₄	semidirect
434. #13133175	C₂×C₄	semidirect
435. #13133174	C₂×C₄	semidirect
436. #13133174	C₂×C₄	semidirect
437. #13133173	C₂×C₄	semidirect
438. #13133173	C₂×C₄	semidirect
439. C₂×C₄⋊Dic₅₃	C₂×C₄	semidirect
440. C₂×#11719919	C₂×C₄	semidirect
441. C₂×#11719919	C₂×C₄	semidirect
442. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
443. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
444. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
445. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
469. #126×C₅₃	C₂×C₄	semidirect
470. #126×C₅₃	C₂×C₄	semidirect
471. #125×C₅₃	C₂×C₄	semidirect
472. #123×C₅₃	C₂×C₄	semidirect
473. #123×C₅₃	C₂×C₄	semidirect
475. #121×C₅₃	C₂×C₄	semidirect
476. #121×C₅₃	C₂×C₄	semidirect
477. #121×C₅₃	C₂×C₄	semidirect
478. C₄×D₄×C₅₃	C₂×C₄	semidirect
479. C₄×D₄×C₅₃	C₂×C₄	semidirect
480. C₄×D₄×C₅₃	C₂×C₄	semidirect
481. C₄×D₄×C₅₃	C₂×C₄	semidirect
482. #117×C₅₃	C₂×C₄	semidirect
483. C₂×C₄⋊C₄×C₅₃	C₂×C₄	semidirect
1089. #553	#6157	semidirect
1245. C₅₃	#34509	semidirect
1278. #126	C₂×#6157	semidirect
1279. #126	C₂×#6157	semidirect
1287. #125	C₂×#6157	semidirect
1302. #123	C₂×#6157	semidirect
1303. #123	C₂×#6157	semidirect
1333. #121	C₂×#6157	semidirect
1334. #121	C₂×#6157	semidirect
1335. #121	C₂×#6157	semidirect
1366. C₄×D₄	C₂×#6157	semidirect
1367. C₄×D₄	C₂×#6157	semidirect
1368. C₄×D₄	C₂×#6157	semidirect
1369. C₄×D₄	C₂×#6157	semidirect
1380. #117	C₂×#6157	semidirect
1418. C₂×C₄⋊C₄	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291262	2
#20291256	2
#20291253	2
#20291252	2
#20291250	2
#20291242	2
#20291238	2
#20291236	2
#20291233	2
#20291232	2
#20291223	2
#20291222	2
#20291215	2
#20291214	2
#20291213	2
#20291212	2
#20291204	2
#20291203	2
#20291198	2
#20291197	2
#20291193	2
#20291192	2
#123×#6157	2
#20291169	2
#553×D₅₃	2
#34509	53