Subgroups — #28329077

Order 13568.

2290 conjugacy classes of subgroups.

The subgroup lattice has 2194 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291259	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	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291245	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291242	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291240	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291231	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291226	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291222	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291215	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291215	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291201	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#121×#6157	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
31	#540×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×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
38	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
39	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
40	C₂×#13133296	C₂²	1	1	yes	characteristic
41	C₂×#13133296	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
44	#16811575	C₂²	1	1	yes	characteristic
45	#16811575	C₂²	1	1	yes	characteristic
46	#16811575	C₂²	1	1	yes	characteristic
47	#16811575	C₂²	1	1	yes	characteristic
48	#16811575	C₂²	1	1	yes	characteristic
49	#16811575	C₂²	1	1	yes	characteristic
50	#16811575	C₂²	1	1	yes	characteristic
51	#16811575	C₂²	1	1	yes	characteristic
52	#16811574	C₂²	1	1	yes	characteristic
53	#16811574	C₂²	1	1	yes	characteristic
54	#16811574	C₂²	1	1	yes	characteristic
55	#16811574	C₂²	1	1	yes	characteristic
56	#16811574	C₂²	1	1	yes	characteristic
57	#16811574	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	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
76	#16811573	C₂²	1	1	yes	characteristic
77	#16811573	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	#16811571	C₂²	1	1	yes	characteristic
99	#16811571	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	#16811571	C₂²	1	1	yes	characteristic
115	#16811571	C₂²	1	1	yes	characteristic
116	#16811571	C₂²	1	1	yes	characteristic
117	#16811571	C₂²	1	1	yes	characteristic
118	#16811571	C₂²	1	1	yes	characteristic
119	#16811571	C₂²	1	1	yes	characteristic
120	#16811571	C₂²	1	1	yes	characteristic
121	#16811571	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811570	C₂²	1	1	yes	characteristic
127	#16811570	C₂²	1	1	yes	characteristic
128	#16811570	C₂²	1	1	yes	characteristic
129	#16811570	C₂²	1	1	yes	characteristic
130	#16811570	C₂²	1	1	yes	characteristic
131	#16811570	C₂²	1	1	yes	characteristic
132	#16811568	C₂²	1	1	yes	characteristic
133	#16811568	C₂²	1	1	yes	characteristic
134	#16811568	C₂²	1	1	yes	characteristic
135	#16811567	C₂²	1	1	yes	characteristic
136	#16811566	C₂²	1	1	yes	characteristic
137	#16811566	C₂²	1	1	yes	characteristic
138	#16811566	C₂²	1	1	yes	characteristic
139	#16811565	C₂²	1	1	yes	characteristic
140	#16811565	C₂²	1	1	yes	characteristic
141	#16811565	C₂²	1	1	yes	characteristic
142	#16811565	C₂²	1	1	yes	characteristic
143	#16811565	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	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×#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	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
168	#16811559	C₂²	1	1	yes	characteristic
169	C₂×(C₂×#6157)⋊C₄	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	#16811229	C₄	1	1	yes	characteristic, complemented
173	#16811228	C₄	1	1	yes	characteristic, complemented
174	#16811227	C₄	1	1	yes	characteristic, complemented
175	#16811226	C₄	1	1	yes	characteristic, complemented
176	#16811226	C₄	1	1	yes	characteristic, complemented
177	#16811225	C₄	1	1	yes	characteristic, complemented
178	#16811225	C₄	1	1	yes	characteristic, complemented
179	#16811225	C₄	1	1	yes	characteristic, complemented
180	#16811225	C₄	1	1	yes	characteristic, complemented
181	#16811224	C₄	1	1	yes	characteristic, complemented
182	#16811224	C₄	1	1	yes	characteristic, complemented
183	#16811223	C₄	1	1	yes	characteristic, complemented
184	#16811223	C₄	1	1	yes	characteristic, complemented
185	#16811223	C₄	1	1	yes	characteristic, complemented
186	#16811223	C₄	1	1	yes	characteristic, complemented
187	#127×D₅₃	C₂²	1	1	yes	characteristic
188	#125×D₅₃	C₂²	1	1	yes	characteristic
189	#123×D₅₃	C₂²	1	1	yes	characteristic
190	#123×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#123×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	#121×D₅₃	C₂²	1	1	yes	characteristic
197	#121×D₅₃	C₂²	1	1	yes	characteristic
198	#121×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
201	#117×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#540	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	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	C₂³×#6157	C₂³	1	1	yes	characteristic
212	C₂³×#6157	C₂³	1	1	yes	characteristic
213	D₄×#6157	—	4	2	no	—
214	D₄×#6157	—	4	2	no	—
215	D₄×#6157	—	4	2	no	—
216	D₄×#6157	—	4	2	no	—
217	D₄×#6157	—	4	2	no	—
218	D₄×#6157	—	4	2	no	—
219	D₄×#6157	—	4	2	no	—
220	D₄×#6157	—	4	2	no	—
221	#13133296	—	4	2	no	—
222	#13133296	—	4	2	no	—
223	C₂×C₄⋊#6157	—	4	2	no	—
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×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊#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×C₂²⋊#6157	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	—	4	2	no	—
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×C₄×#6157	C₂³	1	1	yes	characteristic
282	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
283	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
284	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
287	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
288	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
289	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
290	C₂×C₄×#6157	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×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
341	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
347	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
349	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
350	#13133214	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133213	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133209	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133208	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133208	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	#13133207	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133207	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	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
434	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
435	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
436	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
437	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
439	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
440	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
441	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
442	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
443	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
444	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
445	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
446	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
447	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
448	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
449	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
450	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
451	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
452	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
453	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
454	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
455	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₄⋊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	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
473	C₄²×D₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	#127×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#125×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
485	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
491	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
492	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
493	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
494	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×#6157	—	2	2	no	—
496	C₂²×#6157	—	2	2	no	—
497	C₂²×#6157	—	2	2	no	—
498	C₂²×#6157	—	2	2	no	—
499	C₂²×#6157	—	2	2	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	—	4	1	no	—
507	C₂²×#6157	—	4	1	no	—
508	C₂²×#6157	—	4	1	no	—
509	C₂²×#6157	—	4	1	no	—
510	C₂²×#6157	—	4	1	no	—
511	C₂²×#6157	—	4	1	no	—
512	C₂²×#6157	—	4	1	no	—
513	C₂²×#6157	—	4	1	no	—
514	C₂²×#6157	—	4	1	no	—
515	C₂²×#6157	—	4	1	no	—
516	C₂²×#6157	—	4	1	no	—
517	C₂²×#6157	—	4	1	no	—
518	C₂²×#6157	—	4	1	no	—
519	C₂²×#6157	—	4	1	no	—
520	C₂²×#6157	—	4	1	no	—
521	C₂²×#6157	—	4	1	no	—
522	C₂²×#6157	—	4	1	no	—
523	C₂²×#6157	—	4	1	no	—
524	C₂²×#6157	—	4	1	no	—
525	C₂²×#6157	C₂⁴	1	1	yes	characteristic
526	C₂²×#6157	C₂⁴	1	1	yes	characteristic
527	C₂²×#6157	C₂⁴	1	1	yes	characteristic
528	C₂²×#6157	C₂⁴	1	1	yes	characteristic
529	C₂²×#6157	C₂⁴	1	1	yes	characteristic
530	C₂²×#6157	C₂⁴	1	1	yes	characteristic
531	C₂²×#6157	C₂⁴	1	1	yes	characteristic
532	C₂²×#6157	C₂⁴	1	1	yes	characteristic
533	C₂²×#6157	C₂⁴	1	1	yes	characteristic
534	C₂²×#6157	C₂⁴	1	1	yes	characteristic
535	C₂²×#6157	C₂⁴	1	1	yes	characteristic
536	C₂²×#6157	C₂⁴	1	1	yes	characteristic
537	C₂²×#6157	C₂⁴	1	1	yes	characteristic
538	C₂²×#6157	C₂⁴	1	1	yes	characteristic
539	C₂²×#6157	C₂⁴	1	1	yes	characteristic
540	C₂²×#6157	C₂⁴	1	1	yes	characteristic
541	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
554	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
576	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
577	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
578	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
580	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
581	D₄×D₅₃	—	4	1	no	—
582	D₄×D₅₃	—	4	1	no	—
583	D₄×D₅₃	—	4	1	no	—
584	D₄×D₅₃	—	4	1	no	—
585	D₄×D₅₃	—	4	1	no	—
586	D₄×D₅₃	—	4	1	no	—
587	D₄×D₅₃	—	4	1	no	—
588	D₄×D₅₃	—	4	1	no	—
589	D₄×D₅₃	—	4	1	no	—
590	D₄×D₅₃	—	4	1	no	—
591	D₄×D₅₃	—	4	1	no	—
592	D₄×D₅₃	—	4	1	no	—
593	D₄×D₅₃	—	4	1	no	—
594	D₄×D₅₃	—	4	1	no	—
595	D₄×D₅₃	—	4	1	no	—
596	D₄×D₅₃	—	4	1	no	—
597	D₄×D₅₃	—	4	1	no	—
598	D₄×D₅₃	—	4	1	no	—
599	D₄×D₅₃	—	4	1	no	—
600	D₄×D₅₃	—	4	1	no	—
601	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
602	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
603	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
604	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
605	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
606	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
607	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
608	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
609	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
610	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄×D₅₃	—	4	1	no	—
612	C₂×C₄×D₅₃	—	4	1	no	—
613	C₂×C₄×D₅₃	—	4	1	no	—
614	C₂×C₄×D₅₃	—	4	1	no	—
615	C₂×C₄×D₅₃	—	4	1	no	—
616	C₂×C₄×D₅₃	—	4	1	no	—
617	C₂×C₄×D₅₃	—	4	1	no	—
618	C₂×C₄×D₅₃	—	4	1	no	—
619	C₂×C₄×D₅₃	—	4	1	no	—
620	C₂×C₄×D₅₃	—	4	1	no	—
621	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
641	C₂²⋊#6157	—	2	2	no	—
642	C₂²⋊#6157	—	2	2	no	—
643	C₂²⋊#6157	—	2	2	no	—
644	C₂²⋊#6157	—	2	2	no	—
645	C₂²⋊#6157	—	2	2	no	—
646	C₂²⋊#6157	—	4	1	no	—
647	C₂²⋊#6157	—	4	1	no	—
648	C₂²⋊#6157	—	4	1	no	—
649	C₂²⋊#6157	—	4	1	no	—
650	C₂²⋊#6157	—	4	1	no	—
651	C₂²⋊#6157	—	4	1	no	—
652	C₂²⋊#6157	—	4	1	no	—
653	C₂²⋊#6157	—	4	1	no	—
654	C₂²⋊#6157	—	4	1	no	—
655	C₂²⋊#6157	—	4	1	no	—
656	C₂²⋊#6157	—	4	1	no	—
657	C₂²⋊#6157	—	4	1	no	—
658	C₂²⋊#6157	—	4	1	no	—
659	C₂²⋊#6157	—	4	1	no	—
660	C₂²⋊#6157	—	4	1	no	—
661	C₂²⋊#6157	—	4	1	no	—
662	C₂²⋊#6157	—	4	1	no	—
663	C₂²⋊#6157	—	4	1	no	—
664	C₂²⋊#6157	—	4	1	no	—
665	C₂²⋊#6157	—	4	1	no	—
666	C₂²⋊#6157	—	4	1	no	—
667	C₂²⋊#6157	—	4	1	no	—
668	C₂²⋊#6157	—	4	1	no	—
669	C₂²⋊#6157	—	4	1	no	—
670	C₂²⋊#6157	—	4	1	no	—
671	C₄⋊#6157	—	2	2	no	—
672	C₄⋊#6157	—	2	2	no	—
673	C₄⋊#6157	—	2	2	no	—
674	C₄⋊#6157	—	2	2	no	—
675	C₄⋊#6157	—	2	2	no	—
676	C₄⋊#6157	—	4	1	no	—
677	C₄⋊#6157	—	4	1	no	—
678	C₄⋊#6157	—	4	1	no	—
679	C₄⋊#6157	—	4	1	no	—
680	C₄⋊#6157	—	4	1	no	—
681	C₄⋊#6157	—	4	1	no	—
682	C₄⋊#6157	—	4	1	no	—
683	C₄⋊#6157	—	4	1	no	—
684	C₄⋊#6157	—	4	1	no	—
685	C₄⋊#6157	—	4	1	no	—
686	C₄⋊#6157	—	4	1	no	—
687	C₄⋊#6157	—	4	1	no	—
688	C₄⋊#6157	—	4	1	no	—
689	C₄×#6157	—	2	2	no	—
690	C₄×#6157	—	2	2	no	—
691	C₄×#6157	—	2	2	no	—
692	C₄×#6157	—	4	1	no	—
693	C₄×#6157	—	4	1	no	—
694	C₄×#6157	—	4	1	no	—
695	C₄×#6157	—	4	1	no	—
696	C₄×#6157	—	4	1	no	—
697	C₄×#6157	—	4	1	no	—
698	C₄×#6157	—	4	1	no	—
699	C₄×#6157	—	4	1	no	—
700	C₄×#6157	—	4	1	no	—
701	C₄×#6157	—	4	1	no	—
702	C₄×#6157	—	4	1	no	—
703	C₄×#6157	—	4	1	no	—
704	C₄×#6157	—	4	1	no	—
705	C₄×#6157	—	4	1	no	—
706	C₄×#6157	—	4	1	no	—
707	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
708	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
709	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
710	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
711	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
712	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
713	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
720	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
721	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
722	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
723	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
724	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
731	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
732	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
733	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
734	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
735	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
736	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
737	#11719921	C₂²×C₄	1	1	yes	characteristic
738	#11719921	C₂²×C₄	1	1	yes	characteristic
739	#11719921	C₂²×C₄	1	1	yes	characteristic
740	#11719921	C₂²×C₄	1	1	yes	characteristic
741	#11719921	C₂²×C₄	1	1	yes	characteristic
742	#11719921	C₂²×C₄	1	1	yes	characteristic
743	#11719921	C₂²×C₄	1	1	yes	characteristic
744	#11719921	C₂²×C₄	1	1	yes	characteristic
745	#11719921	C₂²×C₄	1	1	yes	characteristic
746	#11719921	C₂²×C₄	1	1	yes	characteristic
747	#11719921	C₂²×C₄	1	1	yes	characteristic
748	#11719921	C₂²×C₄	1	1	yes	characteristic
749	#11719921	C₂²×C₄	1	1	yes	characteristic
750	#11719921	C₂²×C₄	1	1	yes	characteristic
751	#11719921	C₂²×C₄	1	1	yes	characteristic
752	#11719921	C₂²×C₄	1	1	yes	characteristic
753	#11719921	C₂²×C₄	1	1	yes	characteristic
754	#11719921	C₂²×C₄	1	1	yes	characteristic
755	#11719921	C₂²×C₄	1	1	yes	characteristic
756	#11719921	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	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
764	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
765	#11719919	C₂²×C₄	1	1	yes	characteristic
766	#11719919	C₂²×C₄	1	1	yes	characteristic
767	#11719919	C₂²×C₄	1	1	yes	characteristic
768	#11719919	C₂²×C₄	1	1	yes	characteristic
769	#11719919	C₂²×C₄	1	1	yes	characteristic
770	#11719919	C₂²×C₄	1	1	yes	characteristic
771	#11719919	C₂²×C₄	1	1	yes	characteristic
772	#11719919	C₂²×C₄	1	1	yes	characteristic
773	#11719919	C₂²×C₄	1	1	yes	characteristic
774	#11719919	C₂²×C₄	1	1	yes	characteristic
775	#11719919	C₂²×C₄	1	1	yes	characteristic
776	#11719919	C₂²×C₄	1	1	yes	characteristic
777	#11719919	C₂²×C₄	1	1	yes	characteristic
778	#11719919	C₂²×C₄	1	1	yes	characteristic
779	#11719919	C₂²×C₄	1	1	yes	characteristic
780	#11719919	C₂²×C₄	1	1	yes	characteristic
781	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
782	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
783	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
784	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
785	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
786	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
787	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
788	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
789	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
790	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
791	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
792	C₂²×D₅₃	—	2	1	no	—
793	C₂²×D₅₃	—	2	1	no	—
794	C₂²×D₅₃	—	2	1	no	—
795	C₂²×D₅₃	—	2	1	no	—
796	C₂²×D₅₃	—	2	1	no	—
797	C₂²×D₅₃	—	2	1	no	—
798	C₂²×D₅₃	—	2	1	no	—
799	C₂²×D₅₃	—	2	1	no	—
800	C₂²×D₅₃	—	2	1	no	—
801	C₂²×D₅₃	—	2	1	no	—
802	C₂²×D₅₃	—	2	1	no	—
803	C₂²×D₅₃	—	2	1	no	—
804	C₂²×D₅₃	—	2	1	no	—
805	C₂²×D₅₃	—	2	1	no	—
806	C₂²×D₅₃	—	2	1	no	—
807	C₂²×D₅₃	—	2	1	no	—
808	C₂²×D₅₃	—	2	1	no	—
809	C₂²×D₅₃	—	2	1	no	—
810	C₂²×D₅₃	—	2	1	no	—
811	C₂²×D₅₃	—	2	1	no	—
812	C₂²×D₅₃	—	2	1	no	—
813	C₂²×D₅₃	—	2	1	no	—
814	C₂²×D₅₃	—	2	1	no	—
815	C₂²×D₅₃	—	2	1	no	—
816	C₂²×D₅₃	—	2	1	no	—
817	C₂²×D₅₃	—	2	1	no	—
818	C₂²×D₅₃	—	2	1	no	—
819	C₂²×D₅₃	—	2	1	no	—
820	C₂²×D₅₃	—	2	1	no	—
821	C₂²×D₅₃	—	2	1	no	—
822	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
823	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
824	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
825	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
826	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
827	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
844	C₂×#6157	—	2	1	no	—
845	C₂×#6157	—	2	1	no	—
846	C₂×#6157	—	2	1	no	—
847	C₂×#6157	—	2	1	no	—
848	C₂×#6157	—	2	1	no	—
849	C₂×#6157	—	2	1	no	—
850	C₂×#6157	—	2	1	no	—
851	C₂×#6157	—	2	1	no	—
852	C₂×#6157	—	2	1	no	—
853	C₂×#6157	—	2	1	no	—
854	C₂×#6157	—	2	1	no	—
855	C₂×#6157	—	2	1	no	—
856	C₂×#6157	—	2	1	no	—
857	C₂×#6157	—	2	1	no	—
858	C₂×#6157	—	2	1	no	—
859	C₂×#6157	—	2	1	no	—
860	C₂×#6157	—	2	1	no	—
861	C₂×#6157	—	2	1	no	—
862	C₂×#6157	—	2	1	no	—
863	C₂×#6157	—	2	1	no	—
864	C₂×#6157	—	2	1	no	—
865	C₂×#6157	—	2	1	no	—
866	C₂×#6157	—	2	1	no	—
867	C₂×#6157	—	2	1	no	—
868	C₂×#6157	—	2	1	no	—
869	C₂×#6157	—	2	1	no	—
870	C₂×#6157	—	2	1	no	—
871	C₂×#6157	—	2	1	no	—
872	C₂×#6157	—	2	1	no	—
873	C₂×#6157	—	2	1	no	—
874	C₂×#6157	—	4	4	no	—
875	C₂×#6157	—	4	4	no	—
876	C₂×#6157	—	8	2	no	—
877	C₂×#6157	—	8	2	no	—
878	C₂×#6157	—	8	2	no	—
879	C₂×#6157	—	8	2	no	—
880	C₂×#6157	—	8	2	no	—
881	C₂×#6157	—	8	2	no	—
882	C₂×#6157	—	8	2	no	—
883	C₂×#6157	—	8	2	no	—
884	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
885	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
886	D₄×C₅₃	—	4	1	no	—
887	D₄×C₅₃	—	4	1	no	—
888	D₄×C₅₃	—	4	1	no	—
889	D₄×C₅₃	—	4	1	no	—
890	D₄×C₅₃	—	4	1	no	—
891	D₄×C₅₃	—	4	1	no	—
892	D₄×C₅₃	—	4	1	no	—
893	D₄×C₅₃	—	4	1	no	—
894	D₄×C₅₃	—	4	1	no	—
895	D₄×C₅₃	—	4	1	no	—
896	C₂×C₄×C₅₃	—	4	1	no	—
897	C₂×C₄×C₅₃	—	4	1	no	—
898	C₂×C₄×C₅₃	—	4	1	no	—
899	C₂×C₄×C₅₃	—	4	1	no	—
900	C₂×C₄×C₅₃	—	4	1	no	—
901	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
902	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
903	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
904	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
905	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
906	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
907	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
908	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
909	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
910	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
911	C₂²⋊D₅₃	—	4	1	no	—
912	C₂²⋊D₅₃	—	4	1	no	—
913	C₂²⋊D₅₃	—	4	1	no	—
914	C₂²⋊D₅₃	—	4	1	no	—
915	C₂²⋊D₅₃	—	4	1	no	—
916	C₂²⋊D₅₃	—	4	1	no	—
917	C₂²⋊D₅₃	—	4	1	no	—
918	C₂²⋊D₅₃	—	4	1	no	—
919	C₂²⋊D₅₃	—	4	1	no	—
920	C₂²⋊D₅₃	—	4	1	no	—
921	C₂²⋊D₅₃	—	4	1	no	—
922	C₂²⋊D₅₃	—	4	1	no	—
923	C₂²⋊D₅₃	—	4	1	no	—
924	C₂²⋊D₅₃	—	4	1	no	—
925	C₂²⋊D₅₃	—	4	1	no	—
926	C₂²⋊D₅₃	—	4	1	no	—
927	C₂²⋊D₅₃	—	4	1	no	—
928	C₂²⋊D₅₃	—	4	1	no	—
929	C₂²⋊D₅₃	—	4	1	no	—
930	C₂²⋊D₅₃	—	4	1	no	—
931	C₂×Dic₅₃	—	4	1	no	—
932	C₂×Dic₅₃	—	4	1	no	—
933	C₂×Dic₅₃	—	4	1	no	—
934	C₂×Dic₅₃	—	4	1	no	—
935	C₂×Dic₅₃	—	4	1	no	—
936	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
937	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
938	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
939	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
940	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
941	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
942	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
943	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
944	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
945	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
946	D₂₁₂	—	4	1	no	—
947	D₂₁₂	—	4	1	no	—
948	D₂₁₂	—	4	1	no	—
949	D₂₁₂	—	4	1	no	—
950	D₂₁₂	—	4	1	no	—
951	D₂₁₂	—	4	1	no	—
952	D₂₁₂	—	4	1	no	—
953	D₂₁₂	—	4	1	no	—
954	D₂₁₂	—	4	1	no	—
955	D₂₁₂	—	4	1	no	—
956	C₄×D₅₃	—	2	1	no	—
957	C₄×D₅₃	—	2	1	no	—
958	C₄×D₅₃	—	2	1	no	—
959	C₄×D₅₃	—	2	1	no	—
960	C₄×D₅₃	—	2	1	no	—
961	C₄×D₅₃	—	2	1	no	—
962	C₄×D₅₃	—	2	1	no	—
963	C₄×D₅₃	—	2	1	no	—
964	C₄×D₅₃	—	2	1	no	—
965	C₄×D₅₃	—	2	1	no	—
966	C₄×D₅₃	—	2	1	no	—
967	C₄×D₅₃	—	2	1	no	—
968	C₄×D₅₃	—	2	1	no	—
969	C₄×D₅₃	—	2	1	no	—
970	C₄×D₅₃	—	2	1	no	—
971	C₄×D₅₃	—	2	1	no	—
972	C₄×D₅₃	—	2	1	no	—
973	C₄×D₅₃	—	2	1	no	—
974	C₄×D₅₃	—	2	1	no	—
975	C₄×D₅₃	—	2	1	no	—
976	C₄×D₅₃	—	4	1	no	—
977	C₄×D₅₃	—	4	1	no	—
978	C₄×D₅₃	—	4	1	no	—
979	C₄×D₅₃	—	4	1	no	—
980	C₄×D₅₃	—	4	1	no	—
981	C₄×D₅₃	—	4	1	no	—
982	C₄×D₅₃	—	4	1	no	—
983	C₄×D₅₃	—	4	1	no	—
984	C₄×D₅₃	—	4	1	no	—
985	C₄×D₅₃	—	4	1	no	—
986	#34442	—	53	1	no	maximal, Sylow
987	C₂²×C₅₃	—	2	1	no	—
988	C₂²×C₅₃	—	2	1	no	—
989	C₂²×C₅₃	—	2	1	no	—
990	C₂²×C₅₃	—	2	1	no	—
991	C₂²×C₅₃	—	2	1	no	—
992	C₂²×C₅₃	—	2	1	no	—
993	C₂²×C₅₃	—	2	1	no	—
994	C₂²×C₅₃	—	2	1	no	—
995	C₂²×C₅₃	—	2	1	no	—
996	C₂²×C₅₃	—	2	1	no	—
997	C₂²×C₅₃	—	2	1	no	—
998	C₂²×C₅₃	—	2	1	no	—
999	C₂²×C₅₃	—	2	1	no	—
1000	C₂²×C₅₃	—	2	1	no	—
1001	C₂²×C₅₃	—	2	1	no	—
1002	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
1003	C₂×D₅₃	—	2	1	no	—
1004	C₂×D₅₃	—	2	1	no	—
1005	C₂×D₅₃	—	2	1	no	—
1006	C₂×D₅₃	—	2	1	no	—
1007	C₂×D₅₃	—	2	1	no	—
1008	C₂×D₅₃	—	2	1	no	—
1009	C₂×D₅₃	—	2	1	no	—
1010	C₂×D₅₃	—	2	1	no	—
1011	C₂×D₅₃	—	2	1	no	—
1012	C₂×D₅₃	—	2	1	no	—
1013	C₂×D₅₃	—	2	1	no	—
1014	C₂×D₅₃	—	2	1	no	—
1015	C₂×D₅₃	—	2	1	no	—
1016	C₂×D₅₃	—	2	1	no	—
1017	C₂×D₅₃	—	2	1	no	—
1018	C₂×D₅₃	—	4	1	no	—
1019	C₂×D₅₃	—	4	1	no	—
1020	C₂×D₅₃	—	4	1	no	—
1021	C₂×D₅₃	—	4	1	no	—
1022	C₂×D₅₃	—	4	1	no	—
1023	C₂×D₅₃	—	4	1	no	—
1024	C₂×D₅₃	—	4	1	no	—
1025	C₂×D₅₃	—	4	1	no	—
1026	C₂×D₅₃	—	4	1	no	—
1027	C₂×D₅₃	—	4	1	no	—
1028	C₂×D₅₃	—	4	1	no	—
1029	C₂×D₅₃	—	4	1	no	—
1030	C₂×D₅₃	—	4	1	no	—
1031	C₂×D₅₃	—	4	1	no	—
1032	C₂×D₅₃	—	4	1	no	—
1033	C₂×D₅₃	—	4	1	no	—
1034	C₂×D₅₃	—	4	1	no	—
1035	C₂×D₅₃	—	4	1	no	—
1036	C₂×D₅₃	—	4	1	no	—
1037	C₂×D₅₃	—	4	1	no	—
1038	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1039	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1040	C₂×D₅₃	#585	1	1	yes	characteristic
1041	C₂×D₅₃	#585	1	1	yes	characteristic
1042	C₂×D₅₃	#585	1	1	yes	characteristic
1043	C₂×D₅₃	#585	1	1	yes	characteristic
1044	#6157	—	2	2	no	—
1045	#6157	—	2	2	no	—
1046	#6157	—	4	1	no	—
1047	#6157	—	4	1	no	—
1048	#6157	—	4	1	no	—
1049	#6157	—	4	1	no	—
1050	#6157	—	4	1	no	—
1051	#6157	—	4	1	no	—
1052	#6157	—	4	1	no	—
1053	#6157	—	4	1	no	—
1054	#6157	—	4	1	no	—
1055	#6157	—	4	1	no	—
1056	#6157	—	4	1	no	—
1057	#6157	—	4	1	no	—
1058	#6157	—	4	1	no	—
1059	#6157	—	4	1	no	—
1060	C₄×C₅₃	—	2	1	no	—
1061	C₄×C₅₃	—	2	1	no	—
1062	C₄×C₅₃	—	2	1	no	—
1063	C₄×C₅₃	—	2	1	no	—
1064	C₄×C₅₃	—	2	1	no	—
1065	C₄×C₅₃	—	2	1	no	—
1066	C₄×C₅₃	—	2	1	no	—
1067	C₄×C₅₃	—	2	1	no	—
1068	C₄×C₅₃	—	2	1	no	—
1069	C₄×C₅₃	—	2	1	no	—
1070	Dic₅₃	—	2	1	no	—
1071	Dic₅₃	—	2	1	no	—
1072	Dic₅₃	—	2	1	no	—
1073	Dic₅₃	—	2	1	no	—
1074	Dic₅₃	—	2	1	no	—
1075	Dic₅₃	—	2	1	no	—
1076	Dic₅₃	—	2	1	no	—
1077	Dic₅₃	—	2	1	no	—
1078	Dic₅₃	—	2	1	no	—
1079	Dic₅₃	—	2	1	no	—
1080	C₂×#540	—	53	1	no	—
1081	#2380	—	53	1	no	—
1082	#2377	—	53	1	no	—
1083	#2377	—	53	1	no	—
1084	#2376	—	53	1	no	—
1085	#2374	—	53	1	no	—
1086	#2366	—	53	1	no	—
1087	#2364	—	53	1	no	—
1088	#2364	—	53	1	no	—
1089	#2363	—	53	1	no	—
1090	#2361	—	53	1	no	—
1091	#2359	—	53	1	no	—
1092	#2359	—	53	1	no	—
1093	#2353	—	53	1	no	—
1094	#2352	—	53	1	no	—
1095	#2347	—	53	1	no	—
1096	#2343	—	53	1	no	—
1097	#2336	—	53	1	no	—
1098	#2336	—	53	1	no	—
1099	#2335	—	53	1	no	—
1100	#2335	—	53	1	no	—
1101	#2333	—	53	1	no	—
1102	#2333	—	53	1	no	—
1103	#2325	—	53	1	no	—
1104	#2325	—	53	1	no	—
1105	#2324	—	53	1	no	—
1106	#2322	—	53	1	no	—
1107	#2318	—	53	1	no	—
1108	C₄×#123	—	53	1	no	—
1109	C₄×#121	—	53	1	no	—
1110	#2290	—	53	1	no	—
1111	C₂×C₅₃	—	4	1	no	—
1112	C₂×C₅₃	—	4	1	no	—
1113	C₂×C₅₃	—	4	1	no	—
1114	C₂×C₅₃	—	4	1	no	—
1115	C₂×C₅₃	—	4	1	no	—
1116	C₂×C₅₃	#3428	1	1	yes	characteristic
1117	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1118	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1119	D₅₃	—	4	1	no	—
1120	D₅₃	—	4	1	no	—
1121	D₅₃	—	4	1	no	—
1122	D₅₃	—	4	1	no	—
1123	D₅₃	—	4	1	no	—
1124	D₅₃	#3534	1	1	yes	characteristic
1125	D₅₃	#3539	1	1	yes	characteristic
1126	D₅₃	#3562	1	1	yes	characteristic
1127	D₅₃	#3566	1	1	yes	characteristic
1128	#540	—	53	1	no	—
1129	#540	—	53	1	no	—
1130	#540	—	53	1	no	—
1131	#540	—	53	1	no	—
1132	#540	—	53	1	no	—
1133	#540	—	53	1	no	—
1134	#540	—	53	1	no	—
1135	#540	—	53	1	no	—
1136	#540	—	53	1	no	—
1137	#540	—	53	1	no	—
1138	#540	—	53	1	no	—
1139	#540	—	53	1	no	—
1140	#540	—	53	1	no	—
1141	#540	—	53	1	no	—
1142	#540	—	53	1	no	—
1143	#540	#6157	1	1	yes	characteristic, complemented
1144	C₂×#127	—	53	1	no	—
1145	C₂×#125	—	53	1	no	—
1146	C₂×#123	—	53	1	no	—
1147	C₂×#123	—	53	1	no	—
1148	C₂×#123	—	53	1	no	—
1149	C₂×#123	—	53	1	no	—
1150	C₂×#121	—	53	1	no	—
1151	C₂×#121	—	53	1	no	—
1152	C₂×#121	—	53	1	no	—
1153	C₂×#121	—	53	1	no	—
1154	C₂×#121	—	53	1	no	—
1155	C₂×#121	—	53	1	no	—
1156	C₂×C₄×D₄	—	53	1	no	—
1157	C₂×C₄×D₄	—	53	1	no	—
1158	C₂×C₄×D₄	—	53	1	no	—
1159	C₂×C₄×D₄	—	53	1	no	—
1160	C₂×C₄×D₄	—	53	1	no	—
1161	C₂×C₄×D₄	—	53	1	no	—
1162	C₂×C₄×D₄	—	53	1	no	—
1163	C₂×C₄×D₄	—	53	1	no	—
1164	C₂×C₄×D₄	—	53	1	no	—
1165	C₂×C₄×D₄	—	53	1	no	—
1166	C₂×#117	—	53	1	no	—
1167	C₂×#117	—	53	1	no	—
1168	C₂×#117	—	53	1	no	—
1169	C₂²×C₄⋊C₄	—	53	1	no	—
1170	C₂²×C₄²	—	53	1	no	—
1171	#390	—	53	1	no	—
1172	#390	—	53	1	no	—
1173	#390	—	53	1	no	—
1174	#390	—	53	1	no	—
1175	#390	—	53	1	no	—
1176	#390	—	53	1	no	—
1177	#390	—	53	1	no	—
1178	#390	—	53	1	no	—
1179	#389	—	53	1	no	—
1180	#389	—	53	1	no	—
1181	#389	—	53	1	no	—
1182	#389	—	53	1	no	—
1183	#389	—	53	1	no	—
1184	#389	—	53	1	no	—
1185	#388	—	53	1	no	—
1186	#388	—	53	1	no	—
1187	#388	—	53	1	no	—
1188	#388	—	53	1	no	—
1189	#388	—	53	1	no	—
1190	#388	—	53	1	no	—
1191	#388	—	53	1	no	—
1192	#388	—	53	1	no	—
1193	#388	—	53	1	no	—
1194	#388	—	53	1	no	—
1195	#388	—	53	1	no	—
1196	#388	—	53	1	no	—
1197	#388	—	53	1	no	—
1198	#388	—	53	1	no	—
1199	#388	—	53	1	no	—
1200	#388	—	53	1	no	—
1201	#388	—	53	1	no	—
1202	#388	—	53	1	no	—
1203	#388	—	53	1	no	—
1204	#388	—	53	1	no	—
1205	#387	—	53	1	no	—
1206	#387	—	53	1	no	—
1207	#387	—	53	1	no	—
1208	#387	—	53	1	no	—
1209	#387	—	53	1	no	—
1210	#387	—	53	1	no	—
1211	#387	—	53	1	no	—
1212	#387	—	53	1	no	—
1213	#387	—	53	1	no	—
1214	#387	—	53	1	no	—
1215	#387	—	53	1	no	—
1216	#387	—	53	1	no	—
1217	#387	—	53	1	no	—
1218	#387	—	53	1	no	—
1219	#387	—	53	1	no	—
1220	#387	—	53	1	no	—
1221	#387	—	53	1	no	—
1222	#387	—	53	1	no	—
1223	#387	—	53	1	no	—
1224	#387	—	53	1	no	—
1225	#386	—	53	1	no	—
1226	#386	—	53	1	no	—
1227	#386	—	53	1	no	—
1228	#386	—	53	1	no	—
1229	#386	—	53	1	no	—
1230	#386	—	53	1	no	—
1231	#386	—	53	1	no	—
1232	#386	—	53	1	no	—
1233	#386	—	53	1	no	—
1234	#386	—	53	1	no	—
1235	#386	—	53	1	no	—
1236	#386	—	53	1	no	—
1237	#386	—	53	1	no	—
1238	#386	—	53	1	no	—
1239	#386	—	53	1	no	—
1240	#386	—	53	1	no	—
1241	#386	—	53	1	no	—
1242	#386	—	53	1	no	—
1243	#386	—	53	1	no	—
1244	#386	—	53	1	no	—
1245	#386	—	53	1	no	—
1246	#386	—	53	1	no	—
1247	#386	—	53	1	no	—
1248	#386	—	53	1	no	—
1249	#385	—	53	1	no	—
1250	#385	—	53	1	no	—
1251	#385	—	53	1	no	—
1252	#385	—	53	1	no	—
1253	#385	—	53	1	no	—
1254	#385	—	53	1	no	—
1255	#385	—	53	1	no	—
1256	#385	—	53	1	no	—
1257	#385	—	53	1	no	—
1258	#385	—	53	1	no	—
1259	#383	—	53	1	no	—
1260	#383	—	53	1	no	—
1261	#383	—	53	1	no	—
1262	#382	—	53	1	no	—
1263	#381	—	53	1	no	—
1264	#381	—	53	1	no	—
1265	#381	—	53	1	no	—
1266	#380	—	53	1	no	—
1267	#380	—	53	1	no	—
1268	#380	—	53	1	no	—
1269	#380	—	53	1	no	—
1270	#380	—	53	1	no	—
1271	C₄×C₄⋊C₄	—	53	1	no	—
1272	C₄×C₄⋊C₄	—	53	1	no	—
1273	C₄×C₄⋊C₄	—	53	1	no	—
1274	C₄×C₄⋊C₄	—	53	1	no	—
1275	C₄×C₄⋊C₄	—	53	1	no	—
1276	C₄×C₄⋊C₄	—	53	1	no	—
1277	C₄×C₄⋊C₄	—	53	1	no	—
1278	C₄×C₄⋊C₄	—	53	1	no	—
1279	C₄×C₄⋊C₄	—	53	1	no	—
1280	C₄×C₂²⋊C₄	—	53	1	no	—
1281	C₄×C₂²⋊C₄	—	53	1	no	—
1282	C₄×C₂²⋊C₄	—	53	1	no	—
1283	C₄×C₂²⋊C₄	—	53	1	no	—
1284	C₄×C₂²⋊C₄	—	53	1	no	—
1285	C₄×C₂²⋊C₄	—	53	1	no	—
1286	C₄×C₂²⋊C₄	—	53	1	no	—
1287	C₄×C₂²⋊C₄	—	53	1	no	—
1288	C₄×C₂²⋊C₄	—	53	1	no	—
1289	C₄×C₂²⋊C₄	—	53	1	no	—
1290	C₄×C₂²⋊C₄	—	53	1	no	—
1291	C₄×C₂²⋊C₄	—	53	1	no	—
1292	C₄×C₂²⋊C₄	—	53	1	no	—
1293	C₄×C₂²⋊C₄	—	53	1	no	—
1294	C₄×C₂²⋊C₄	—	53	1	no	—
1295	#376	—	53	1	no	—
1296	C₂×#95	—	53	1	no	—
1297	C₂×#95	—	53	1	no	—
1298	C₂×#95	—	53	1	no	—
1299	C₅₃	#34442	1	1	yes	characteristic, complemented, Sylow
1300	C₂²×D₄	—	53	1	no	—
1301	C₂²×D₄	—	53	1	no	—
1302	C₂²×D₄	—	53	1	no	—
1303	C₂²×D₄	—	53	1	no	—
1304	C₂²×D₄	—	53	1	no	—
1305	C₂²×D₄	—	53	1	no	—
1306	C₂²×D₄	—	53	1	no	—
1307	C₂²×D₄	—	53	1	no	—
1308	C₂²×D₄	—	53	1	no	—
1309	C₂²×D₄	—	53	1	no	—
1310	C₂³×C₄	—	53	1	no	—
1311	C₂³×C₄	—	53	1	no	—
1312	C₂³×C₄	—	53	1	no	—
1313	C₂³×C₄	—	53	1	no	—
1314	C₂³×C₄	—	53	1	no	—
1315	C₂³×C₄	—	53	1	no	—
1316	C₂³×C₄	—	53	1	no	—
1317	C₂³×C₄	—	53	1	no	—
1318	C₂³×C₄	—	53	1	no	—
1319	C₂³×C₄	—	53	1	no	—
1320	C₂³×C₄	—	53	1	no	—
1321	C₂³×C₄	—	53	1	no	—
1322	C₂³×C₄	—	53	1	no	—
1323	C₂³×C₄	—	53	1	no	—
1324	C₂³×C₄	—	53	1	no	—
1325	#127	—	53	1	no	—
1326	#127	—	53	1	no	—
1327	#127	—	53	1	no	—
1328	#127	—	53	1	no	—
1329	#127	—	53	1	no	—
1330	#127	—	53	1	no	—
1331	#127	—	53	1	no	—
1332	#127	C₂×#6157	1	1	yes	characteristic, complemented
1333	#125	—	53	1	no	—
1334	#125	—	53	1	no	—
1335	#125	—	53	1	no	—
1336	#125	—	53	1	no	—
1337	#125	—	53	1	no	—
1338	#125	—	53	1	no	—
1339	#125	—	53	1	no	—
1340	#125	C₂×#6157	1	1	yes	characteristic, complemented
1341	#123	—	53	1	no	—
1342	#123	—	53	1	no	—
1343	#123	—	53	1	no	—
1344	#123	—	53	1	no	—
1345	#123	—	53	1	no	—
1346	#123	—	53	1	no	—
1347	#123	—	53	1	no	—
1348	#123	—	53	1	no	—
1349	#123	—	53	1	no	—
1350	#123	—	53	1	no	—
1351	#123	—	53	1	no	—
1352	#123	—	53	1	no	—
1353	#123	—	53	1	no	—
1354	#123	—	53	1	no	—
1355	#123	—	53	1	no	—
1356	#123	—	53	1	no	—
1357	#123	—	53	1	no	—
1358	#123	—	53	1	no	—
1359	#123	—	53	1	no	—
1360	#123	—	53	1	no	—
1361	#123	—	53	1	no	—
1362	#123	—	53	1	no	—
1363	#123	—	53	1	no	—
1364	#123	—	53	1	no	—
1365	#123	—	53	1	no	—
1366	#123	—	53	1	no	—
1367	#123	—	53	1	no	—
1368	#123	—	53	1	no	—
1369	#123	C₂×#6157	1	1	yes	characteristic, complemented
1370	#123	C₂×#6157	1	1	yes	characteristic, complemented
1371	#123	C₂×#6157	1	1	yes	characteristic, complemented
1372	#123	C₂×#6157	1	1	yes	characteristic, complemented
1373	#121	—	53	1	no	—
1374	#121	—	53	1	no	—
1375	#121	—	53	1	no	—
1376	#121	—	53	1	no	—
1377	#121	—	53	1	no	—
1378	#121	—	53	1	no	—
1379	#121	—	53	1	no	—
1380	#121	—	53	1	no	—
1381	#121	—	53	1	no	—
1382	#121	—	53	1	no	—
1383	#121	—	53	1	no	—
1384	#121	—	53	1	no	—
1385	#121	—	53	1	no	—
1386	#121	—	53	1	no	—
1387	#121	—	53	1	no	—
1388	#121	—	53	1	no	—
1389	#121	—	53	1	no	—
1390	#121	—	53	1	no	—
1391	#121	—	53	1	no	—
1392	#121	—	53	1	no	—
1393	#121	—	53	1	no	—
1394	#121	—	53	1	no	—
1395	#121	—	53	1	no	—
1396	#121	—	53	1	no	—
1397	#121	—	53	1	no	—
1398	#121	—	53	1	no	—
1399	#121	—	53	1	no	—
1400	#121	—	53	1	no	—
1401	#121	—	53	1	no	—
1402	#121	—	53	1	no	—
1403	#121	—	53	1	no	—
1404	#121	—	53	1	no	—
1405	#121	—	53	1	no	—
1406	#121	—	53	1	no	—
1407	#121	—	53	1	no	—
1408	#121	—	53	1	no	—
1409	#121	—	53	1	no	—
1410	#121	—	53	1	no	—
1411	#121	—	53	1	no	—
1412	#121	—	53	1	no	—
1413	#121	—	53	1	no	—
1414	#121	—	53	1	no	—
1415	#121	C₂×#6157	1	1	yes	characteristic, complemented
1416	#121	C₂×#6157	1	1	yes	characteristic, complemented
1417	#121	C₂×#6157	1	1	yes	characteristic, complemented
1418	#121	C₂×#6157	1	1	yes	characteristic, complemented
1419	#121	C₂×#6157	1	1	yes	characteristic, complemented
1420	#121	C₂×#6157	1	1	yes	characteristic, complemented
1421	C₄×D₄	—	53	1	no	—
1422	C₄×D₄	—	53	1	no	—
1423	C₄×D₄	—	53	1	no	—
1424	C₄×D₄	—	53	1	no	—
1425	C₄×D₄	—	53	1	no	—
1426	C₄×D₄	—	53	1	no	—
1427	C₄×D₄	—	53	1	no	—
1428	C₄×D₄	—	53	1	no	—
1429	C₄×D₄	—	53	1	no	—
1430	C₄×D₄	—	53	1	no	—
1431	C₄×D₄	—	53	1	no	—
1432	C₄×D₄	—	53	1	no	—
1433	C₄×D₄	—	53	1	no	—
1434	C₄×D₄	—	53	1	no	—
1435	C₄×D₄	—	212	2	no	—
1436	C₄×D₄	—	212	2	no	—
1437	C₄×D₄	—	212	2	no	—
1438	C₄×D₄	—	212	2	no	—
1439	C₄×D₄	—	212	2	no	—
1440	C₄×D₄	—	212	2	no	—
1441	C₄×D₄	—	212	2	no	—
1442	C₄×D₄	—	212	2	no	—
1443	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1444	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1445	#117	—	53	1	no	—
1446	#117	—	53	1	no	—
1447	#117	—	53	1	no	—
1448	#117	—	53	1	no	—
1449	#117	—	53	1	no	—
1450	#117	—	53	1	no	—
1451	#117	—	53	1	no	—
1452	#117	—	212	2	no	—
1453	#117	—	212	2	no	—
1454	#117	C₂×#6157	1	1	yes	characteristic, complemented
1455	C₂×C₄⋊C₄	—	53	1	no	—
1456	C₂×C₄⋊C₄	—	53	1	no	—
1457	C₂×C₄⋊C₄	—	53	1	no	—
1458	C₂×C₄⋊C₄	—	53	1	no	—
1459	C₂×C₄⋊C₄	—	53	1	no	—
1460	C₂×C₄⋊C₄	—	53	1	no	—
1461	C₂×C₄⋊C₄	—	53	1	no	—
1462	C₂×C₄⋊C₄	—	53	1	no	—
1463	C₂×C₄⋊C₄	—	53	1	no	—
1464	C₂×C₄⋊C₄	—	53	1	no	—
1465	C₂×C₄⋊C₄	—	53	1	no	—
1466	C₂×C₄⋊C₄	—	53	1	no	—
1467	C₂×C₄⋊C₄	—	53	1	no	—
1468	C₂×C₄⋊C₄	—	53	1	no	—
1469	C₂×C₄⋊C₄	—	53	1	no	—
1470	C₂×C₄⋊C₄	—	53	1	no	—
1471	C₂×C₄⋊C₄	—	53	1	no	—
1472	C₂×C₄⋊C₄	—	53	1	no	—
1473	C₂×C₄⋊C₄	—	53	1	no	—
1474	C₂×C₄⋊C₄	—	53	1	no	—
1475	C₂×C₄⋊C₄	—	53	1	no	—
1476	C₂×C₄⋊C₄	—	53	1	no	—
1477	C₂×C₄⋊C₄	—	53	1	no	—
1478	C₂×C₄⋊C₄	—	53	1	no	—
1479	C₂×C₄⋊C₄	—	53	1	no	—
1480	C₂×C₄⋊C₄	—	53	1	no	—
1481	C₂×C₄⋊C₄	—	212	2	no	—
1482	C₂×C₂²⋊C₄	—	53	1	no	—
1483	C₂×C₂²⋊C₄	—	53	1	no	—
1484	C₂×C₂²⋊C₄	—	53	1	no	—
1485	C₂×C₂²⋊C₄	—	53	1	no	—
1486	C₂×C₂²⋊C₄	—	53	1	no	—
1487	C₂×C₂²⋊C₄	—	53	1	no	—
1488	C₂×C₂²⋊C₄	—	53	1	no	—
1489	C₂×C₂²⋊C₄	—	53	1	no	—
1490	C₂×C₂²⋊C₄	—	53	1	no	—
1491	C₂×C₂²⋊C₄	—	53	1	no	—
1492	C₂×C₂²⋊C₄	—	53	1	no	—
1493	C₂×C₂²⋊C₄	—	53	1	no	—
1494	C₂×C₂²⋊C₄	—	53	1	no	—
1495	C₂×C₂²⋊C₄	—	53	1	no	—
1496	C₂×C₂²⋊C₄	—	53	1	no	—
1497	C₂×C₂²⋊C₄	—	53	1	no	—
1498	C₂×C₂²⋊C₄	—	53	1	no	—
1499	C₂×C₂²⋊C₄	—	53	1	no	—
1500	C₂×C₂²⋊C₄	—	53	1	no	—
1501	C₂×C₂²⋊C₄	—	53	1	no	—
1502	C₂×C₂²⋊C₄	—	53	1	no	—
1503	C₂×C₂²⋊C₄	—	53	1	no	—
1504	C₂×C₂²⋊C₄	—	53	1	no	—
1505	C₂×C₂²⋊C₄	—	53	1	no	—
1506	C₂×C₂²⋊C₄	—	53	1	no	—
1507	C₂×C₂²⋊C₄	—	53	1	no	—
1508	C₂×C₂²⋊C₄	—	53	1	no	—
1509	C₂×C₂²⋊C₄	—	53	1	no	—
1510	C₂×C₂²⋊C₄	—	53	1	no	—
1511	C₂×C₂²⋊C₄	—	53	1	no	—
1512	C₂×C₂²⋊C₄	—	53	1	no	—
1513	C₂×C₂²⋊C₄	—	53	1	no	—
1514	C₂×C₂²⋊C₄	—	53	1	no	—
1515	C₂×C₂²⋊C₄	—	53	1	no	—
1516	C₂×C₂²⋊C₄	—	53	1	no	—
1517	C₂×C₂²⋊C₄	—	53	1	no	—
1518	C₂×C₂²⋊C₄	—	53	1	no	—
1519	C₂×C₂²⋊C₄	—	53	1	no	—
1520	C₂×C₂²⋊C₄	—	53	1	no	—
1521	C₂×C₂²⋊C₄	—	53	1	no	—
1522	C₂×C₄²	—	53	1	no	—
1523	C₂×C₄²	—	53	1	no	—
1524	C₂×C₄²	—	53	1	no	—
1525	C₂×C₄²	—	53	1	no	—
1526	C₂×C₄²	—	53	1	no	—
1527	C₂×C₄²	—	53	1	no	—
1528	C₂×C₄²	—	53	1	no	—
1529	C₂×C₄²	—	53	1	no	—
1530	C₂×C₄²	—	53	1	no	—
1531	C₂×C₄²	—	53	1	no	—
1532	C₂×C₄²	—	53	1	no	—
1533	C₂×C₄²	—	53	1	no	—
1534	C₂×C₄²	—	53	1	no	—
1535	C₂×C₄²	—	53	1	no	—
1536	C₂×C₄²	—	53	1	no	—
1537	C₂×C₄²	—	53	1	no	—
1538	C₂×C₄²	—	53	1	no	—
1539	C₂×C₄²	—	53	1	no	—
1540	C₂×C₄²	—	53	1	no	—
1541	C₂×C₄²	—	53	1	no	—
1542	C₂×C₄²	—	212	2	no	—
1543	#95	—	53	1	no	—
1544	#95	—	53	1	no	—
1545	#95	—	53	1	no	—
1546	#95	—	53	1	no	—
1547	#95	—	53	1	no	—
1548	#95	—	53	1	no	—
1549	#95	—	53	1	no	—
1550	#95	—	53	1	no	—
1551	#95	—	53	1	no	—
1552	#95	—	53	1	no	—
1553	#95	—	53	1	no	—
1554	#95	—	53	1	no	—
1555	#95	—	53	1	no	—
1556	#95	—	53	1	no	—
1557	#95	—	53	1	no	—
1558	#95	—	53	1	no	—
1559	#95	—	53	1	no	—
1560	#95	—	53	1	no	—
1561	#95	—	53	1	no	—
1562	#95	—	53	1	no	—
1563	#95	—	53	1	no	—
1564	#95	—	53	1	no	—
1565	#95	—	53	1	no	—
1566	#95	—	53	1	no	—
1567	#95	—	53	1	no	—
1568	#95	—	53	1	no	—
1569	#95	—	53	1	no	—
1570	#95	—	53	1	no	—
1571	#95	—	53	1	no	—
1572	#95	—	53	1	no	—
1573	#95	—	53	1	no	—
1574	#95	—	53	1	no	—
1575	#95	—	53	1	no	—
1576	#95	—	53	1	no	—
1577	#95	—	53	1	no	—
1578	#95	—	53	1	no	—
1579	#95	—	53	1	no	—
1580	#95	—	53	1	no	—
1581	#95	—	53	1	no	—
1582	#95	—	53	1	no	—
1583	#95	—	53	1	no	—
1584	#95	—	53	1	no	—
1585	#95	—	53	1	no	—
1586	#95	—	53	1	no	—
1587	C₂⁴	—	53	1	no	—
1588	C₂⁴	—	53	1	no	—
1589	C₂⁴	—	53	1	no	—
1590	C₂⁴	—	53	1	no	—
1591	C₂⁴	—	53	1	no	—
1592	C₂×D₄	—	53	1	no	—
1593	C₂×D₄	—	53	1	no	—
1594	C₂×D₄	—	53	1	no	—
1595	C₂×D₄	—	53	1	no	—
1596	C₂×D₄	—	53	1	no	—
1597	C₂×D₄	—	53	1	no	—
1598	C₂×D₄	—	53	1	no	—
1599	C₂×D₄	—	53	1	no	—
1600	C₂×D₄	—	53	1	no	—
1601	C₂×D₄	—	53	1	no	—
1602	C₂×D₄	—	53	1	no	—
1603	C₂×D₄	—	53	1	no	—
1604	C₂×D₄	—	53	1	no	—
1605	C₂×D₄	—	53	1	no	—
1606	C₂×D₄	—	53	1	no	—
1607	C₂×D₄	—	53	1	no	—
1608	C₂×D₄	—	53	1	no	—
1609	C₂×D₄	—	53	1	no	—
1610	C₂×D₄	—	53	1	no	—
1611	C₂×D₄	—	53	1	no	—
1612	C₂×D₄	—	53	1	no	—
1613	C₂×D₄	—	53	1	no	—
1614	C₂×D₄	—	53	1	no	—
1615	C₂×D₄	—	53	1	no	—
1616	C₂×D₄	—	53	1	no	—
1617	C₂×D₄	—	53	1	no	—
1618	C₂×D₄	—	53	1	no	—
1619	C₂×D₄	—	53	1	no	—
1620	C₂×D₄	—	53	1	no	—
1621	C₂×D₄	—	53	1	no	—
1622	C₂×D₄	—	212	1	no	—
1623	C₂×D₄	—	212	1	no	—
1624	C₂×D₄	—	212	1	no	—
1625	C₂×D₄	—	212	1	no	—
1626	C₂×D₄	—	212	1	no	—
1627	C₂×D₄	—	212	1	no	—
1628	C₂×D₄	—	212	1	no	—
1629	C₂×D₄	—	212	1	no	—
1630	C₂×D₄	—	212	1	no	—
1631	C₂×D₄	—	212	1	no	—
1632	C₂×D₄	—	212	1	no	—
1633	C₂×D₄	—	212	1	no	—
1634	C₂×D₄	—	212	1	no	—
1635	C₂×D₄	—	212	1	no	—
1636	C₂×D₄	—	212	1	no	—
1637	C₂×D₄	—	212	1	no	—
1638	C₂×D₄	—	212	1	no	—
1639	C₂×D₄	—	212	1	no	—
1640	C₂×D₄	—	212	1	no	—
1641	C₂×D₄	—	212	1	no	—
1642	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1643	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1644	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1645	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1646	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1647	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1648	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1649	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1650	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1651	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1652	C₂²×C₄	—	53	1	no	—
1653	C₂²×C₄	—	53	1	no	—
1654	C₂²×C₄	—	53	1	no	—
1655	C₂²×C₄	—	53	1	no	—
1656	C₂²×C₄	—	53	1	no	—
1657	C₂²×C₄	—	53	1	no	—
1658	C₂²×C₄	—	53	1	no	—
1659	C₂²×C₄	—	53	1	no	—
1660	C₂²×C₄	—	53	1	no	—
1661	C₂²×C₄	—	53	1	no	—
1662	C₂²×C₄	—	53	1	no	—
1663	C₂²×C₄	—	53	1	no	—
1664	C₂²×C₄	—	53	1	no	—
1665	C₂²×C₄	—	53	1	no	—
1666	C₂²×C₄	—	53	1	no	—
1667	C₂²×C₄	—	53	1	no	—
1668	C₂²×C₄	—	53	1	no	—
1669	C₂²×C₄	—	53	1	no	—
1670	C₂²×C₄	—	53	1	no	—
1671	C₂²×C₄	—	53	1	no	—
1672	C₂²×C₄	—	53	1	no	—
1673	C₂²×C₄	—	53	1	no	—
1674	C₂²×C₄	—	53	1	no	—
1675	C₂²×C₄	—	53	1	no	—
1676	C₂²×C₄	—	53	1	no	—
1677	C₂²×C₄	—	53	1	no	—
1678	C₂²×C₄	—	53	1	no	—
1679	C₂²×C₄	—	53	1	no	—
1680	C₂²×C₄	—	53	1	no	—
1681	C₂²×C₄	—	53	1	no	—
1682	C₂²×C₄	—	53	1	no	—
1683	C₂²×C₄	—	53	1	no	—
1684	C₂²×C₄	—	53	1	no	—
1685	C₂²×C₄	—	53	1	no	—
1686	C₂²×C₄	—	53	1	no	—
1687	C₂²×C₄	—	53	1	no	—
1688	C₂²×C₄	—	53	1	no	—
1689	C₂²×C₄	—	53	1	no	—
1690	C₂²×C₄	—	53	1	no	—
1691	C₂²×C₄	—	53	1	no	—
1692	C₂²×C₄	—	53	1	no	—
1693	C₂²×C₄	—	106	2	no	—
1694	C₂²×C₄	—	106	2	no	—
1695	C₂²×C₄	—	106	2	no	—
1696	C₂²×C₄	—	106	2	no	—
1697	C₂²×C₄	—	106	2	no	—
1698	C₂²×C₄	—	212	1	no	—
1699	C₂²×C₄	—	212	1	no	—
1700	C₂²×C₄	—	212	1	no	—
1701	C₂²×C₄	—	212	1	no	—
1702	C₂²×C₄	—	212	1	no	—
1703	C₂²×C₄	—	212	1	no	—
1704	C₂²×C₄	—	212	1	no	—
1705	C₂²×C₄	—	212	1	no	—
1706	C₂²×C₄	—	212	1	no	—
1707	C₂²×C₄	—	212	1	no	—
1708	C₂²×C₄	—	212	1	no	—
1709	C₂²×C₄	—	212	1	no	—
1710	C₂²×C₄	—	212	1	no	—
1711	C₂²×C₄	—	212	1	no	—
1712	C₂²×C₄	—	212	1	no	—
1713	C₂²×C₄	—	212	1	no	—
1714	C₂²×C₄	—	212	1	no	—
1715	C₂²×C₄	—	212	1	no	—
1716	C₂²×C₄	—	212	1	no	—
1717	C₂²×C₄	—	212	1	no	—
1718	C₂²×C₄	—	212	1	no	—
1719	C₂²×C₄	—	212	1	no	—
1720	C₂²×C₄	—	212	1	no	—
1721	C₂²×C₄	—	212	1	no	—
1722	C₂²×C₄	—	212	1	no	—
1723	C₂²×C₄	—	212	1	no	—
1724	C₂²×C₄	—	212	1	no	—
1725	C₂²×C₄	—	212	1	no	—
1726	C₂²×C₄	—	212	1	no	—
1727	C₂²×C₄	—	212	1	no	—
1728	C₂²×C₄	—	212	1	no	—
1729	C₂²×C₄	—	212	1	no	—
1730	C₂²×C₄	—	212	1	no	—
1731	C₂²×C₄	—	212	1	no	—
1732	C₂²×C₄	—	212	1	no	—
1733	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1734	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1735	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1736	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1737	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1738	C₄⋊C₄	—	53	1	no	—
1739	C₄⋊C₄	—	53	1	no	—
1740	C₄⋊C₄	—	53	1	no	—
1741	C₄⋊C₄	—	53	1	no	—
1742	C₄⋊C₄	—	53	1	no	—
1743	C₄⋊C₄	—	53	1	no	—
1744	C₄⋊C₄	—	53	1	no	—
1745	C₄⋊C₄	—	53	1	no	—
1746	C₄⋊C₄	—	53	1	no	—
1747	C₄⋊C₄	—	53	1	no	—
1748	C₄⋊C₄	—	53	1	no	—
1749	C₄⋊C₄	—	53	1	no	—
1750	C₄⋊C₄	—	53	1	no	—
1751	C₄⋊C₄	—	53	1	no	—
1752	C₄⋊C₄	—	53	1	no	—
1753	C₄⋊C₄	—	53	1	no	—
1754	C₄⋊C₄	—	53	1	no	—
1755	C₄⋊C₄	—	53	1	no	—
1756	C₄⋊C₄	—	53	1	no	—
1757	C₄⋊C₄	—	53	1	no	—
1758	C₄⋊C₄	—	53	1	no	—
1759	C₄⋊C₄	—	53	1	no	—
1760	C₄⋊C₄	—	53	1	no	—
1761	C₄⋊C₄	—	53	1	no	—
1762	C₄⋊C₄	—	106	2	no	—
1763	C₄⋊C₄	—	106	2	no	—
1764	C₄⋊C₄	—	106	2	no	—
1765	C₄⋊C₄	—	106	2	no	—
1766	C₄⋊C₄	—	106	2	no	—
1767	C₄⋊C₄	—	212	1	no	—
1768	C₄⋊C₄	—	212	1	no	—
1769	C₄⋊C₄	—	212	1	no	—
1770	C₄⋊C₄	—	212	1	no	—
1771	C₄⋊C₄	—	212	1	no	—
1772	C₄⋊C₄	—	212	1	no	—
1773	C₄⋊C₄	—	212	1	no	—
1774	C₄⋊C₄	—	212	1	no	—
1775	C₄⋊C₄	—	212	1	no	—
1776	C₄⋊C₄	—	212	1	no	—
1777	C₄⋊C₄	—	212	1	no	—
1778	C₄⋊C₄	—	212	1	no	—
1779	C₄⋊C₄	—	212	1	no	—
1780	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1781	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1782	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1783	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1784	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1785	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1786	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1787	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1788	C₂²⋊C₄	—	53	1	no	—
1789	C₂²⋊C₄	—	53	1	no	—
1790	C₂²⋊C₄	—	53	1	no	—
1791	C₂²⋊C₄	—	53	1	no	—
1792	C₂²⋊C₄	—	53	1	no	—
1793	C₂²⋊C₄	—	53	1	no	—
1794	C₂²⋊C₄	—	53	1	no	—
1795	C₂²⋊C₄	—	53	1	no	—
1796	C₂²⋊C₄	—	53	1	no	—
1797	C₂²⋊C₄	—	53	1	no	—
1798	C₂²⋊C₄	—	53	1	no	—
1799	C₂²⋊C₄	—	53	1	no	—
1800	C₂²⋊C₄	—	53	1	no	—
1801	C₂²⋊C₄	—	53	1	no	—
1802	C₂²⋊C₄	—	53	1	no	—
1803	C₂²⋊C₄	—	53	1	no	—
1804	C₂²⋊C₄	—	53	1	no	—
1805	C₂²⋊C₄	—	53	1	no	—
1806	C₂²⋊C₄	—	53	1	no	—
1807	C₂²⋊C₄	—	53	1	no	—
1808	C₂²⋊C₄	—	53	1	no	—
1809	C₂²⋊C₄	—	53	1	no	—
1810	C₂²⋊C₄	—	53	1	no	—
1811	C₂²⋊C₄	—	53	1	no	—
1812	C₂²⋊C₄	—	53	1	no	—
1813	C₂²⋊C₄	—	53	1	no	—
1814	C₂²⋊C₄	—	53	1	no	—
1815	C₂²⋊C₄	—	53	1	no	—
1816	C₂²⋊C₄	—	53	1	no	—
1817	C₂²⋊C₄	—	53	1	no	—
1818	C₂²⋊C₄	—	106	2	no	—
1819	C₂²⋊C₄	—	106	2	no	—
1820	C₂²⋊C₄	—	106	2	no	—
1821	C₂²⋊C₄	—	106	2	no	—
1822	C₂²⋊C₄	—	106	2	no	—
1823	C₂²⋊C₄	—	212	1	no	—
1824	C₂²⋊C₄	—	212	1	no	—
1825	C₂²⋊C₄	—	212	1	no	—
1826	C₂²⋊C₄	—	212	1	no	—
1827	C₂²⋊C₄	—	212	1	no	—
1828	C₂²⋊C₄	—	212	1	no	—
1829	C₂²⋊C₄	—	212	1	no	—
1830	C₂²⋊C₄	—	212	1	no	—
1831	C₂²⋊C₄	—	212	1	no	—
1832	C₂²⋊C₄	—	212	1	no	—
1833	C₂²⋊C₄	—	212	1	no	—
1834	C₂²⋊C₄	—	212	1	no	—
1835	C₂²⋊C₄	—	212	1	no	—
1836	C₂²⋊C₄	—	212	1	no	—
1837	C₂²⋊C₄	—	212	1	no	—
1838	C₂²⋊C₄	—	212	1	no	—
1839	C₂²⋊C₄	—	212	1	no	—
1840	C₂²⋊C₄	—	212	1	no	—
1841	C₂²⋊C₄	—	212	1	no	—
1842	C₂²⋊C₄	—	212	1	no	—
1843	C₂²⋊C₄	—	212	1	no	—
1844	C₂²⋊C₄	—	212	1	no	—
1845	C₂²⋊C₄	—	212	1	no	—
1846	C₂²⋊C₄	—	212	1	no	—
1847	C₂²⋊C₄	—	212	1	no	—
1848	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1849	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1850	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1851	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1852	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1853	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1854	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1855	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1856	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1857	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1858	C₄²	—	53	1	no	—
1859	C₄²	—	53	1	no	—
1860	C₄²	—	53	1	no	—
1861	C₄²	—	53	1	no	—
1862	C₄²	—	53	1	no	—
1863	C₄²	—	53	1	no	—
1864	C₄²	—	106	2	no	—
1865	C₄²	—	106	2	no	—
1866	C₄²	—	106	2	no	—
1867	C₄²	—	212	1	no	—
1868	C₄²	—	212	1	no	—
1869	C₄²	—	212	1	no	—
1870	C₄²	—	212	1	no	—
1871	C₄²	—	212	1	no	—
1872	C₄²	—	212	1	no	—
1873	C₄²	—	212	1	no	—
1874	C₄²	—	212	1	no	—
1875	C₄²	—	212	1	no	—
1876	C₄²	—	212	1	no	—
1877	C₄²	—	212	1	no	—
1878	C₄²	—	212	1	no	—
1879	C₄²	—	212	1	no	—
1880	C₄²	—	212	1	no	—
1881	C₄²	—	212	1	no	—
1882	C₄²	C₂²×#6157	1	1	yes	characteristic
1883	C₄²	C₂²×#6157	1	1	yes	characteristic
1884	C₂³	—	53	1	no	—
1885	C₂³	—	53	1	no	—
1886	C₂³	—	53	1	no	—
1887	C₂³	—	53	1	no	—
1888	C₂³	—	53	1	no	—
1889	C₂³	—	53	1	no	—
1890	C₂³	—	106	1	no	—
1891	C₂³	—	106	1	no	—
1892	C₂³	—	106	1	no	—
1893	C₂³	—	106	1	no	—
1894	C₂³	—	106	1	no	—
1895	C₂³	—	106	1	no	—
1896	C₂³	—	106	1	no	—
1897	C₂³	—	106	1	no	—
1898	C₂³	—	106	1	no	—
1899	C₂³	—	106	1	no	—
1900	C₂³	—	106	1	no	—
1901	C₂³	—	106	1	no	—
1902	C₂³	—	106	1	no	—
1903	C₂³	—	106	1	no	—
1904	C₂³	—	106	1	no	—
1905	C₂³	—	106	1	no	—
1906	C₂³	—	106	1	no	—
1907	C₂³	—	106	1	no	—
1908	C₂³	—	106	1	no	—
1909	C₂³	—	106	1	no	—
1910	C₂³	—	106	1	no	—
1911	C₂³	—	106	1	no	—
1912	C₂³	—	106	1	no	—
1913	C₂³	—	106	1	no	—
1914	C₂³	—	106	1	no	—
1915	C₂³	—	106	1	no	—
1916	C₂³	—	106	1	no	—
1917	C₂³	—	106	1	no	—
1918	C₂³	—	106	1	no	—
1919	C₂³	—	106	1	no	—
1920	C₂³	C₂³×#6157	1	1	yes	characteristic
1921	C₂³	C₂³×#6157	1	1	yes	characteristic
1922	C₂³	C₂³×#6157	1	1	yes	characteristic
1923	C₂³	C₂³×#6157	1	1	yes	characteristic
1924	C₂³	C₂³×#6157	1	1	yes	characteristic
1925	D₄	—	4	1	no	—
1926	D₄	—	4	1	no	—
1927	D₄	—	4	1	no	—
1928	D₄	—	4	1	no	—
1929	D₄	—	4	1	no	—
1930	D₄	—	4	1	no	—
1931	D₄	—	4	1	no	—
1932	D₄	—	4	1	no	—
1933	D₄	—	4	1	no	—
1934	D₄	—	4	1	no	—
1935	D₄	—	212	1	no	—
1936	D₄	—	212	1	no	—
1937	D₄	—	212	1	no	—
1938	D₄	—	212	1	no	—
1939	D₄	—	212	1	no	—
1940	D₄	—	212	1	no	—
1941	D₄	—	212	1	no	—
1942	D₄	—	212	1	no	—
1943	D₄	—	212	1	no	—
1944	D₄	—	212	1	no	—
1945	D₄	—	212	1	no	—
1946	D₄	—	212	1	no	—
1947	D₄	—	212	1	no	—
1948	D₄	—	212	1	no	—
1949	D₄	—	212	1	no	—
1950	D₄	—	212	1	no	—
1951	D₄	—	212	1	no	—
1952	D₄	—	212	1	no	—
1953	D₄	—	212	1	no	—
1954	D₄	—	212	1	no	—
1955	D₄	—	212	1	no	—
1956	D₄	—	212	1	no	—
1957	D₄	—	212	1	no	—
1958	D₄	—	212	1	no	—
1959	D₄	—	212	1	no	—
1960	D₄	—	212	1	no	—
1961	D₄	—	212	1	no	—
1962	D₄	—	212	1	no	—
1963	D₄	—	212	1	no	—
1964	D₄	—	212	1	no	—
1965	C₂×C₄	—	4	1	no	—
1966	C₂×C₄	—	4	1	no	—
1967	C₂×C₄	—	4	1	no	—
1968	C₂×C₄	—	4	1	no	—
1969	C₂×C₄	—	4	1	no	—
1970	C₂×C₄	—	53	2	no	—
1971	C₂×C₄	—	53	2	no	—
1972	C₂×C₄	—	53	1	no	—
1973	C₂×C₄	—	53	1	no	—
1974	C₂×C₄	—	53	1	no	—
1975	C₂×C₄	—	53	1	no	—
1976	C₂×C₄	—	53	1	no	—
1977	C₂×C₄	—	53	1	no	—
1978	C₂×C₄	—	53	1	no	—
1979	C₂×C₄	—	53	1	no	—
1980	C₂×C₄	—	53	1	no	—
1981	C₂×C₄	—	53	1	no	—
1982	C₂×C₄	—	106	1	no	—
1983	C₂×C₄	—	106	1	no	—
1984	C₂×C₄	—	106	1	no	—
1985	C₂×C₄	—	106	1	no	—
1986	C₂×C₄	—	106	1	no	—
1987	C₂×C₄	—	106	1	no	—
1988	C₂×C₄	—	106	1	no	—
1989	C₂×C₄	—	106	1	no	—
1990	C₂×C₄	—	106	1	no	—
1991	C₂×C₄	—	106	1	no	—
1992	C₂×C₄	—	106	1	no	—
1993	C₂×C₄	—	106	1	no	—
1994	C₂×C₄	—	106	1	no	—
1995	C₂×C₄	—	106	1	no	—
1996	C₂×C₄	—	106	1	no	—
1997	C₂×C₄	—	106	1	no	—
1998	C₂×C₄	—	106	1	no	—
1999	C₂×C₄	—	106	1	no	—
2000	C₂×C₄	—	106	1	no	—
2001	C₂×C₄	—	106	1	no	—
2002	C₂×C₄	—	106	1	no	—
2003	C₂×C₄	—	106	1	no	—
2004	C₂×C₄	—	106	1	no	—
2005	C₂×C₄	—	106	1	no	—
2006	C₂×C₄	—	106	1	no	—
2007	C₂×C₄	—	106	1	no	—
2008	C₂×C₄	—	106	1	no	—
2009	C₂×C₄	—	106	1	no	—
2010	C₂×C₄	—	106	1	no	—
2011	C₂×C₄	—	106	1	no	—
2012	C₂×C₄	—	106	1	no	—
2013	C₂×C₄	—	106	1	no	—
2014	C₂×C₄	—	106	1	no	—
2015	C₂×C₄	—	106	1	no	—
2016	C₂×C₄	—	106	1	no	—
2017	C₂×C₄	—	106	1	no	—
2018	C₂×C₄	—	106	1	no	—
2019	C₂×C₄	—	106	1	no	—
2020	C₂×C₄	—	106	1	no	—
2021	C₂×C₄	—	106	1	no	—
2022	C₂×C₄	—	106	1	no	—
2023	C₂×C₄	—	106	1	no	—
2024	C₂×C₄	—	106	1	no	—
2025	C₂×C₄	—	106	1	no	—
2026	C₂×C₄	—	106	1	no	—
2027	C₂×C₄	—	106	1	no	—
2028	C₂×C₄	—	106	1	no	—
2029	C₂×C₄	—	106	1	no	—
2030	C₂×C₄	—	106	1	no	—
2031	C₂×C₄	—	106	1	no	—
2032	C₂×C₄	—	106	1	no	—
2033	C₂×C₄	—	106	1	no	—
2034	C₂×C₄	—	106	1	no	—
2035	C₂×C₄	—	106	1	no	—
2036	C₂×C₄	—	106	1	no	—
2037	C₂×C₄	—	106	1	no	—
2038	C₂×C₄	—	106	1	no	—
2039	C₂×C₄	—	106	1	no	—
2040	C₂×C₄	—	106	1	no	—
2041	C₂×C₄	—	106	1	no	—
2042	C₂×C₄	—	106	1	no	—
2043	C₂×C₄	—	106	1	no	—
2044	C₂×C₄	—	106	1	no	—
2045	C₂×C₄	—	106	1	no	—
2046	C₂×C₄	—	106	1	no	—
2047	C₂×C₄	—	106	1	no	—
2048	C₂×C₄	—	424	2	no	—
2049	C₂×C₄	—	424	2	no	—
2050	C₂×C₄	—	424	2	no	—
2051	C₂×C₄	—	424	2	no	—
2052	C₂×C₄	—	424	2	no	—
2053	C₂×C₄	—	424	2	no	—
2054	C₂×C₄	—	424	2	no	—
2055	C₂×C₄	—	424	2	no	—
2056	C₂×C₄	—	212	1	no	—
2057	C₂×C₄	—	212	1	no	—
2058	C₂×C₄	—	212	1	no	—
2059	C₂×C₄	—	212	1	no	—
2060	C₂×C₄	—	212	1	no	—
2061	C₂×C₄	—	212	1	no	—
2062	C₂×C₄	—	212	1	no	—
2063	C₂×C₄	—	212	1	no	—
2064	C₂×C₄	—	212	1	no	—
2065	C₂×C₄	—	212	1	no	—
2066	C₂×C₄	—	212	1	no	—
2067	C₂×C₄	—	212	1	no	—
2068	C₂×C₄	—	212	1	no	—
2069	C₂×C₄	—	212	1	no	—
2070	C₂×C₄	—	212	1	no	—
2071	C₂×C₄	—	212	4	no	—
2072	C₂×C₄	—	212	4	no	—
2073	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2074	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2075	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2076	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2077	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2078	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2079	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2080	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2081	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2082	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2083	C₂²	—	2	1	no	—
2084	C₂²	—	2	1	no	—
2085	C₂²	—	2	1	no	—
2086	C₂²	—	2	1	no	—
2087	C₂²	—	2	1	no	—
2088	C₂²	—	2	1	no	—
2089	C₂²	—	2	1	no	—
2090	C₂²	—	2	1	no	—
2091	C₂²	—	2	1	no	—
2092	C₂²	—	2	1	no	—
2093	C₂²	—	2	1	no	—
2094	C₂²	—	2	1	no	—
2095	C₂²	—	2	1	no	—
2096	C₂²	—	2	1	no	—
2097	C₂²	—	2	1	no	—
2098	C₂²	—	53	1	no	—
2099	C₂²	—	53	1	no	—
2100	C₂²	—	53	1	no	—
2101	C₂²	—	53	1	no	—
2102	C₂²	—	53	1	no	—
2103	C₂²	—	53	1	no	—
2104	C₂²	—	106	1	no	—
2105	C₂²	—	106	1	no	—
2106	C₂²	—	106	1	no	—
2107	C₂²	—	106	1	no	—
2108	C₂²	—	106	1	no	—
2109	C₂²	—	106	1	no	—
2110	C₂²	—	106	1	no	—
2111	C₂²	—	106	1	no	—
2112	C₂²	—	106	1	no	—
2113	C₂²	—	106	1	no	—
2114	C₂²	—	106	1	no	—
2115	C₂²	—	106	1	no	—
2116	C₂²	—	106	1	no	—
2117	C₂²	—	106	1	no	—
2118	C₂²	—	106	1	no	—
2119	C₂²	—	212	1	no	—
2120	C₂²	—	212	1	no	—
2121	C₂²	—	212	1	no	—
2122	C₂²	—	212	1	no	—
2123	C₂²	—	212	1	no	—
2124	C₂²	—	212	1	no	—
2125	C₂²	—	212	1	no	—
2126	C₂²	—	212	1	no	—
2127	C₂²	—	212	1	no	—
2128	C₂²	—	212	1	no	—
2129	C₂²	—	212	1	no	—
2130	C₂²	—	212	1	no	—
2131	C₂²	—	212	1	no	—
2132	C₂²	—	212	1	no	—
2133	C₂²	—	212	1	no	—
2134	C₂²	—	212	1	no	—
2135	C₂²	—	212	1	no	—
2136	C₂²	—	212	1	no	—
2137	C₂²	—	212	1	no	—
2138	C₂²	—	212	1	no	—
2139	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2140	C₄	—	2	1	no	—
2141	C₄	—	2	1	no	—
2142	C₄	—	2	1	no	—
2143	C₄	—	2	1	no	—
2144	C₄	—	2	1	no	—
2145	C₄	—	2	1	no	—
2146	C₄	—	2	1	no	—
2147	C₄	—	2	1	no	—
2148	C₄	—	2	1	no	—
2149	C₄	—	2	1	no	—
2150	C₄	—	106	2	no	—
2151	C₄	—	106	2	no	—
2152	C₄	—	106	1	no	—
2153	C₄	—	106	1	no	—
2154	C₄	—	106	1	no	—
2155	C₄	—	106	1	no	—
2156	C₄	—	106	1	no	—
2157	C₄	—	106	1	no	—
2158	C₄	—	106	1	no	—
2159	C₄	—	106	1	no	—
2160	C₄	—	106	1	no	—
2161	C₄	—	106	1	no	—
2162	C₄	—	212	1	no	—
2163	C₄	—	212	1	no	—
2164	C₄	—	212	1	no	—
2165	C₄	—	212	1	no	—
2166	C₄	—	212	1	no	—
2167	C₄	—	212	1	no	—
2168	C₄	—	212	1	no	—
2169	C₄	—	212	1	no	—
2170	C₄	—	212	1	no	—
2171	C₄	—	212	1	no	—
2172	C₄	—	212	1	no	—
2173	C₄	—	212	1	no	—
2174	C₄	—	212	1	no	—
2175	C₄	—	212	1	no	—
2176	C₂	—	4	1	no	—
2177	C₂	—	4	1	no	—
2178	C₂	—	4	1	no	—
2179	C₂	—	4	1	no	—
2180	C₂	—	4	1	no	—
2181	C₂	—	53	1	no	—
2182	C₂	—	53	1	no	—
2183	C₂	—	53	1	no	—
2184	C₂	—	53	1	no	—
2185	C₂	—	212	1	no	—
2186	C₂	—	212	1	no	—
2187	C₂	—	212	1	no	—
2188	C₂	—	212	1	no	—
2189	C₂	—	212	1	no	—
2190	C₂	#20291695	1	1	yes	characteristic
2191	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2192	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×#540	C₄
prime radical	#540×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#540	#6157
hypocenter	C₅₃	#34442
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #540

Complements

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

N	H ≅ G/N	type
1. #20291259	C₂	semidirect
2. #20291256	C₂	semidirect
3. #20291256	C₂	semidirect
4. #20291255	C₂	semidirect
5. #20291253	C₂	semidirect
6. #20291245	C₂	semidirect
7. #20291243	C₂	semidirect
8. #20291243	C₂	semidirect
9. #20291242	C₂	semidirect
10. #20291240	C₂	semidirect
11. #20291238	C₂	semidirect
12. #20291238	C₂	semidirect
13. #20291232	C₂	semidirect
14. #20291231	C₂	semidirect
15. #20291226	C₂	semidirect
16. #20291222	C₂	semidirect
17. #20291215	C₂	semidirect
18. #20291215	C₂	semidirect
19. #20291214	C₂	semidirect
20. #20291214	C₂	semidirect
21. #20291212	C₂	semidirect
22. #20291212	C₂	semidirect
23. #20291204	C₂	semidirect
24. #20291204	C₂	semidirect
25. #20291203	C₂	semidirect
26. #20291201	C₂	semidirect
27. #20291197	C₂	semidirect
28. #123×#6157	C₂	semidirect
29. #121×#6157	C₂	semidirect
30. #20291169	C₂	semidirect
172. #16811229	C₄	semidirect
173. #16811228	C₄	semidirect
174. #16811227	C₄	semidirect
175. #16811226	C₄	semidirect
176. #16811226	C₄	semidirect
177. #16811225	C₄	semidirect
178. #16811225	C₄	semidirect
179. #16811225	C₄	semidirect
180. #16811225	C₄	semidirect
181. #16811224	C₄	semidirect
182. #16811224	C₄	semidirect
183. #16811223	C₄	semidirect
184. #16811223	C₄	semidirect
185. #16811223	C₄	semidirect
186. #16811223	C₄	semidirect
202. C₅₃×#540	C₄	semidirect
350. #13133214	C₂×C₄	semidirect
351. #13133213	C₂×C₄	semidirect
352. #13133213	C₂×C₄	semidirect
353. #13133213	C₂×C₄	semidirect
354. #13133213	C₂×C₄	semidirect
355. #13133213	C₂×C₄	semidirect
356. #13133213	C₂×C₄	semidirect
357. #13133209	C₂×C₄	semidirect
358. #13133208	C₂×C₄	semidirect
359. #13133208	C₂×C₄	semidirect
360. #13133207	C₂×C₄	semidirect
361. #13133207	C₂×C₄	semidirect
362. #13133207	C₂×C₄	semidirect
363. #13133207	C₂×C₄	semidirect
364. #13133202	C₂×C₄	semidirect
365. #13133202	C₂×C₄	semidirect
366. #13133202	C₂×C₄	semidirect
367. #13133202	C₂×C₄	semidirect
368. #13133202	C₂×C₄	semidirect
369. #13133202	C₂×C₄	semidirect
370. #13133202	C₂×C₄	semidirect
371. #13133202	C₂×C₄	semidirect
372. #13133201	C₂×C₄	semidirect
373. #13133201	C₂×C₄	semidirect
374. #13133201	C₂×C₄	semidirect
375. #13133201	C₂×C₄	semidirect
376. #13133200	C₂×C₄	semidirect
377. #13133200	C₂×C₄	semidirect
378. #13133200	C₂×C₄	semidirect
379. #13133200	C₂×C₄	semidirect
380. #13133199	C₂×C₄	semidirect
381. #13133199	C₂×C₄	semidirect
382. #13133199	C₂×C₄	semidirect
383. #13133199	C₂×C₄	semidirect
384. #13133199	C₂×C₄	semidirect
385. #13133199	C₂×C₄	semidirect
386. #13133199	C₂×C₄	semidirect
387. #13133199	C₂×C₄	semidirect
388. #13133198	C₂×C₄	semidirect
389. #13133198	C₂×C₄	semidirect
390. #13133198	C₂×C₄	semidirect
391. #13133198	C₂×C₄	semidirect
392. #13133192	C₂×C₄	semidirect
393. #13133192	C₂×C₄	semidirect
394. #13133192	C₂×C₄	semidirect
395. #13133192	C₂×C₄	semidirect
396. #13133192	C₂×C₄	semidirect
397. #13133192	C₂×C₄	semidirect
398. #13133191	C₂×C₄	semidirect
399. #13133191	C₂×C₄	semidirect
400. #13133191	C₂×C₄	semidirect
401. #13133191	C₂×C₄	semidirect
402. #13133191	C₂×C₄	semidirect
403. #13133191	C₂×C₄	semidirect
404. #13133190	C₂×C₄	semidirect
405. #13133190	C₂×C₄	semidirect
406. #13133190	C₂×C₄	semidirect
407. #13133190	C₂×C₄	semidirect
408. #13133190	C₂×C₄	semidirect
409. #13133190	C₂×C₄	semidirect
410. #13133190	C₂×C₄	semidirect
411. #13133190	C₂×C₄	semidirect
412. #13133190	C₂×C₄	semidirect
413. #13133190	C₂×C₄	semidirect
414. #13133190	C₂×C₄	semidirect
415. #13133190	C₂×C₄	semidirect
416. #13133189	C₂×C₄	semidirect
417. #13133189	C₂×C₄	semidirect
418. #13133189	C₂×C₄	semidirect
419. #13133189	C₂×C₄	semidirect
420. #13133189	C₂×C₄	semidirect
421. #13133189	C₂×C₄	semidirect
422. #13133189	C₂×C₄	semidirect
423. #13133189	C₂×C₄	semidirect
424. #13133189	C₂×C₄	semidirect
425. #13133189	C₂×C₄	semidirect
426. #13133189	C₂×C₄	semidirect
427. #13133189	C₂×C₄	semidirect
428. #13133188	C₂×C₄	semidirect
429. #13133188	C₂×C₄	semidirect
430. #13133188	C₂×C₄	semidirect
431. #13133188	C₂×C₄	semidirect
432. #13133188	C₂×C₄	semidirect
433. #13133188	C₂×C₄	semidirect
434. C₄×D₂₁₂	C₂×C₄	semidirect
435. C₄×D₂₁₂	C₂×C₄	semidirect
436. D₄×Dic₅₃	C₂×C₄	semidirect
437. D₄×Dic₅₃	C₂×C₄	semidirect
438. #13133179	C₂×C₄	semidirect
439. #13133179	C₂×C₄	semidirect
440. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
441. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
442. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
443. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
444. #13133177	C₂×C₄	semidirect
445. #13133177	C₂×C₄	semidirect
446. #13133177	C₂×C₄	semidirect
447. #13133177	C₂×C₄	semidirect
448. #13133176	C₂×C₄	semidirect
449. #13133175	C₂×C₄	semidirect
450. #13133175	C₂×C₄	semidirect
451. #13133174	C₂×C₄	semidirect
452. #13133174	C₂×C₄	semidirect
453. #13133173	C₂×C₄	semidirect
454. #13133173	C₂×C₄	semidirect
475. #127×C₅₃	C₂×C₄	semidirect
476. #125×C₅₃	C₂×C₄	semidirect
477. #123×C₅₃	C₂×C₄	semidirect
478. #123×C₅₃	C₂×C₄	semidirect
479. #123×C₅₃	C₂×C₄	semidirect
480. #123×C₅₃	C₂×C₄	semidirect
481. #121×C₅₃	C₂×C₄	semidirect
482. #121×C₅₃	C₂×C₄	semidirect
483. #121×C₅₃	C₂×C₄	semidirect
484. #121×C₅₃	C₂×C₄	semidirect
485. #121×C₅₃	C₂×C₄	semidirect
486. #121×C₅₃	C₂×C₄	semidirect
487. C₄×D₄×C₅₃	C₂×C₄	semidirect
488. C₄×D₄×C₅₃	C₂×C₄	semidirect
489. #117×C₅₃	C₂×C₄	semidirect
1143. #540	#6157	semidirect
1299. C₅₃	#34442	semidirect
1332. #127	C₂×#6157	semidirect
1340. #125	C₂×#6157	semidirect
1369. #123	C₂×#6157	semidirect
1370. #123	C₂×#6157	semidirect
1371. #123	C₂×#6157	semidirect
1372. #123	C₂×#6157	semidirect
1415. #121	C₂×#6157	semidirect
1416. #121	C₂×#6157	semidirect
1417. #121	C₂×#6157	semidirect
1418. #121	C₂×#6157	semidirect
1419. #121	C₂×#6157	semidirect
1420. #121	C₂×#6157	semidirect
1443. C₄×D₄	C₂×#6157	semidirect
1444. C₄×D₄	C₂×#6157	semidirect
1454. #117	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291259	2
#20291256	2
#20291255	2
#20291253	2
#20291245	2
#20291243	2
#20291242	2
#20291240	2
#20291238	2
#20291232	2
#20291231	2
#20291226	2
#20291222	2
#20291215	2
#20291214	2
#20291212	2
#20291204	2
#20291203	2
#20291201	2
#20291197	2
#123×#6157	2
#121×#6157	2
#20291169	2
#540×D₅₃	2
#34442	53