Subgroups — #27591189

Order 13568.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20282993	C₂	1	1	yes	maximal, characteristic, complemented
2	#20282991	C₂	1	1	yes	maximal, characteristic, complemented
3	#20281761	C₂	1	1	yes	maximal, characteristic, complemented
4	#20281757	C₂	1	1	yes	maximal, characteristic, complemented
5	#20281753	C₂	1	1	yes	maximal, characteristic, complemented
6	#20281753	C₂	1	1	yes	maximal, characteristic, complemented
7	#20281281	C₂	1	1	yes	maximal, characteristic, complemented
8	#20281273	C₂	1	1	yes	maximal, characteristic, complemented
9	#20281112	C₂	1	1	yes	maximal, characteristic, complemented
10	#20281106	C₂	1	1	yes	maximal, characteristic, complemented
11	#20281100	C₂	1	1	yes	maximal, characteristic, complemented
12	#20281096	C₂	1	1	yes	maximal, characteristic, complemented
13	#20281090	C₂	1	1	yes	maximal, characteristic, complemented
14	#20281047	C₂	1	1	yes	maximal, characteristic, complemented
15	#20281035	C₂	1	1	yes	maximal, characteristic, complemented
16	#20280938	C₂	1	1	yes	maximal, characteristic, complemented
17	#20280919	C₂	1	1	yes	maximal, characteristic, complemented
18	#20280525	C₂	1	1	yes	maximal, characteristic, complemented
19	#20280454	C₂	1	1	yes	maximal, characteristic, complemented
20	#20278959	C₂	1	1	yes	maximal, characteristic, complemented
21	#20278957	C₂	1	1	yes	maximal, characteristic, complemented
22	#20278847	C₂	1	1	yes	maximal, characteristic, complemented
23	#20278845	C₂	1	1	yes	maximal, characteristic, complemented
24	#20278252	C₂	1	1	yes	maximal, characteristic, complemented
25	#20278244	C₂	1	1	yes	maximal, characteristic, complemented
26	#20278180	C₂	1	1	yes	maximal, characteristic, complemented
27	#20278172	C₂	1	1	yes	maximal, characteristic, complemented
28	#20277374	C₂	1	1	yes	maximal, characteristic, complemented
29	#20277368	C₂	1	1	yes	maximal, characteristic, complemented
30	#379×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁵×D₅₃	C₂²	1	1	yes	characteristic
33	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
40	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13133187	C₂²	1	1	yes	characteristic
43	C₂×#13133187	C₂²	1	1	yes	characteristic
44	C₂×#13133187	C₂²	1	1	yes	characteristic
45	C₂×#13133187	C₂²	1	1	yes	characteristic
46	C₂×#13133187	C₂²	1	1	yes	characteristic
47	C₂×#13133187	C₂²	1	1	yes	characteristic
48	C₂×#13133186	C₂²	1	1	yes	characteristic
49	C₂×#13133185	C₂²	1	1	yes	characteristic
50	C₂×#13133185	C₂²	1	1	yes	characteristic
51	C₂×#13133185	C₂²	1	1	yes	characteristic
52	C₂×#13133185	C₂²	1	1	yes	characteristic
53	C₂×#13133185	C₂²	1	1	yes	characteristic
54	C₂×#13133185	C₂²	1	1	yes	characteristic
55	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
59	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
61	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
62	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
63	#16810559	C₂²	1	1	yes	characteristic, complemented
64	#16810559	C₂²	1	1	yes	characteristic, complemented
65	#16810558	C₂²	1	1	yes	characteristic, complemented
66	#16810552	C₂²	1	1	yes	characteristic, complemented
67	#16810552	C₂²	1	1	yes	characteristic, complemented
68	#16810552	C₂²	1	1	yes	characteristic, complemented
69	#16810551	C₂²	1	1	yes	characteristic, complemented
70	#16810551	C₂²	1	1	yes	characteristic, complemented
71	#16810551	C₂²	1	1	yes	characteristic, complemented
72	#16810550	C₂²	1	1	yes	characteristic, complemented
73	#16810549	C₂²	1	1	yes	characteristic, complemented
74	#16810549	C₂²	1	1	yes	characteristic, complemented
75	#16810549	C₂²	1	1	yes	characteristic, complemented
76	#16810548	C₂²	1	1	yes	characteristic, complemented
77	#16810548	C₂²	1	1	yes	characteristic, complemented
78	#16810547	C₂²	1	1	yes	characteristic, complemented
79	#16810546	C₂²	1	1	yes	characteristic, complemented
80	#16810545	C₂²	1	1	yes	characteristic, complemented
81	#16810545	C₂²	1	1	yes	characteristic, complemented
82	#16810545	C₂²	1	1	yes	characteristic, complemented
83	#16810545	C₂²	1	1	yes	characteristic, complemented
84	#16810545	C₂²	1	1	yes	characteristic, complemented
85	#16810540	C₂²	1	1	yes	characteristic, complemented
86	#16810540	C₂²	1	1	yes	characteristic, complemented
87	#16810540	C₂²	1	1	yes	characteristic, complemented
88	#16810539	C₂²	1	1	yes	characteristic, complemented
89	#16810539	C₂²	1	1	yes	characteristic, complemented
90	#16810539	C₂²	1	1	yes	characteristic, complemented
91	#16810538	C₂²	1	1	yes	characteristic, complemented
92	#16810538	C₂²	1	1	yes	characteristic, complemented
93	#16810538	C₂²	1	1	yes	characteristic, complemented
94	#16810538	C₂²	1	1	yes	characteristic, complemented
95	#16810538	C₂²	1	1	yes	characteristic, complemented
96	#16810537	C₂²	1	1	yes	characteristic, complemented
97	#16810536	C₂²	1	1	yes	characteristic, complemented
98	#16810535	C₂²	1	1	yes	characteristic, complemented
99	#16810535	C₂²	1	1	yes	characteristic, complemented
100	#16810535	C₂²	1	1	yes	characteristic, complemented
101	#16810532	C₂²	1	1	yes	characteristic, complemented
102	#16810532	C₂²	1	1	yes	characteristic, complemented
103	#16810532	C₂²	1	1	yes	characteristic, complemented
104	#16810531	C₂²	1	1	yes	characteristic, complemented
105	#16810525	C₂²	1	1	yes	characteristic, complemented
106	#16810524	C₂²	1	1	yes	characteristic, complemented
107	#16810523	C₂²	1	1	yes	characteristic, complemented
108	#16810523	C₂²	1	1	yes	characteristic, complemented
109	#16810523	C₂²	1	1	yes	characteristic, complemented
110	#16810523	C₂²	1	1	yes	characteristic, complemented
111	#16810517	C₂²	1	1	yes	characteristic, complemented
112	#16810517	C₂²	1	1	yes	characteristic, complemented
113	#16810517	C₂²	1	1	yes	characteristic, complemented
114	#16810516	C₂²	1	1	yes	characteristic, complemented
115	#16810516	C₂²	1	1	yes	characteristic, complemented
116	#16810516	C₂²	1	1	yes	characteristic, complemented
117	#16810515	C₂²	1	1	yes	characteristic, complemented
118	#16810515	C₂²	1	1	yes	characteristic, complemented
119	#16810514	C₂²	1	1	yes	characteristic, complemented
120	#16810514	C₂²	1	1	yes	characteristic, complemented
121	#16810514	C₂²	1	1	yes	characteristic, complemented
122	#16810514	C₂²	1	1	yes	characteristic, complemented
123	#16810513	C₂²	1	1	yes	characteristic, complemented
124	#16810513	C₂²	1	1	yes	characteristic, complemented
125	#16810513	C₂²	1	1	yes	characteristic, complemented
126	#16810513	C₂²	1	1	yes	characteristic, complemented
127	#16810512	C₂²	1	1	yes	characteristic, complemented
128	#16810512	C₂²	1	1	yes	characteristic, complemented
129	#16810511	C₂²	1	1	yes	characteristic, complemented
130	#16810511	C₂²	1	1	yes	characteristic, complemented
131	#16810511	C₂²	1	1	yes	characteristic, complemented
132	#16810503	C₂²	1	1	yes	characteristic, complemented
133	#16810503	C₂²	1	1	yes	characteristic, complemented
134	#16810501	C₂²	1	1	yes	characteristic, complemented
135	#16810501	C₂²	1	1	yes	characteristic, complemented
136	#16810501	C₂²	1	1	yes	characteristic, complemented
137	#16810501	C₂²	1	1	yes	characteristic, complemented
138	#16810500	C₂²	1	1	yes	characteristic, complemented
139	#16810500	C₂²	1	1	yes	characteristic, complemented
140	#16810499	C₂²	1	1	yes	characteristic, complemented
141	#16810499	C₂²	1	1	yes	characteristic, complemented
142	#16810499	C₂²	1	1	yes	characteristic, complemented
143	#16810499	C₂²	1	1	yes	characteristic, complemented
144	#16810497	C₂²	1	1	yes	characteristic, complemented
145	#16810497	C₂²	1	1	yes	characteristic, complemented
146	#16810494	C₂²	1	1	yes	characteristic, complemented
147	#16810494	C₂²	1	1	yes	characteristic, complemented
148	#16810480	C₂²	1	1	yes	characteristic, complemented
149	#16810480	C₂²	1	1	yes	characteristic, complemented
150	#16810479	C₂²	1	1	yes	characteristic
151	#16810479	C₂²	1	1	yes	characteristic
152	#16810478	C₂²	1	1	yes	characteristic
153	#16810478	C₂²	1	1	yes	characteristic
154	#16810478	C₂²	1	1	yes	characteristic
155	#16810478	C₂²	1	1	yes	characteristic
156	#16810478	C₂²	1	1	yes	characteristic
157	#16810478	C₂²	1	1	yes	characteristic
158	#16810478	C₂²	1	1	yes	characteristic
159	#16810478	C₂²	1	1	yes	characteristic
160	#16810478	C₂²	1	1	yes	characteristic
161	#16810478	C₂²	1	1	yes	characteristic
162	#16810478	C₂²	1	1	yes	characteristic
163	#16810478	C₂²	1	1	yes	characteristic
164	#16810478	C₂²	1	1	yes	characteristic
165	#16810478	C₂²	1	1	yes	characteristic
166	#16810478	C₂²	1	1	yes	characteristic
167	#16810478	C₂²	1	1	yes	characteristic
168	#16810478	C₂²	1	1	yes	characteristic
169	#16810478	C₂²	1	1	yes	characteristic
170	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
171	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
172	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
173	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
174	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#379	C₂²	1	1	yes	characteristic
186	C₅₃×#379	C₂²	1	1	yes	characteristic
187	C₂⁴×D₅₃	—	2	4	no	—
188	C₂⁴×D₅₃	—	4	2	no	—
189	C₂⁴×D₅₃	—	4	2	no	—
190	C₂⁴×D₅₃	—	4	2	no	—
191	C₂⁴×D₅₃	—	4	2	no	—
192	C₂⁴×D₅₃	—	4	2	no	—
193	C₂⁴×D₅₃	—	4	2	no	—
194	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
195	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
196	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
197	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
198	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
199	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
201	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
202	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
203	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
204	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
210	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
211	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
212	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
213	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
214	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
219	#13133210	—	4	2	no	—
220	#13133205	—	4	2	no	—
221	#13133203	—	4	2	no	—
222	#13133202	—	4	2	no	—
223	#13133201	—	4	2	no	—
224	#13133195	—	4	2	no	—
225	#13133190	—	4	2	no	—
226	#13133189	—	4	2	no	—
227	#13133188	—	4	2	no	—
228	#13133187	—	2	4	no	—
229	#13133187	—	4	2	no	—
230	#13133187	—	4	2	no	—
231	#13133187	—	4	2	no	—
232	#13133187	—	4	2	no	—
233	#13133187	—	4	2	no	—
234	#13133186	—	4	2	no	—
235	#13133185	—	2	4	no	—
236	#13133185	—	4	2	no	—
237	#13133185	—	4	2	no	—
238	#13133185	—	4	2	no	—
239	#13133185	—	4	2	no	—
240	#13133185	—	4	2	no	—
241	#13133179	—	4	2	no	—
242	#13133177	—	4	2	no	—
243	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
247	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
248	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
249	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
250	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
251	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
252	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
253	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
254	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
255	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
271	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
272	C₂×#11719921	C₂³	1	1	yes	characteristic
273	C₂×#11719921	C₂³	1	1	yes	characteristic
274	C₂×#11719921	C₂³	1	1	yes	characteristic
275	C₂×#11719921	C₂³	1	1	yes	characteristic
276	C₂×#11719921	C₂³	1	1	yes	characteristic
277	C₂×#11719921	C₂³	1	1	yes	characteristic
278	C₂×#11719921	C₂³	1	1	yes	characteristic
279	C₂×#11719921	C₂³	1	1	yes	characteristic
280	C₂×#11719921	C₂³	1	1	yes	characteristic
281	C₂×#11719921	C₂³	1	1	yes	characteristic
282	C₂×#11719921	C₂³	1	1	yes	characteristic
283	C₂×#11719921	C₂³	1	1	yes	characteristic
284	C₂×#11719921	C₂³	1	1	yes	characteristic
285	C₂×#11719921	C₂³	1	1	yes	characteristic
286	C₂×#11719921	C₂³	1	1	yes	characteristic
287	C₂×#11719921	C₂³	1	1	yes	characteristic
288	C₂×#11719921	C₂³	1	1	yes	characteristic
289	C₂×#11719921	C₂³	1	1	yes	characteristic
290	C₂×#11719921	C₂³	1	1	yes	characteristic
291	C₂×#11719921	C₂³	1	1	yes	characteristic
292	C₂×#11719921	C₂³	1	1	yes	characteristic
293	C₂×#11719921	C₂³	1	1	yes	characteristic
294	C₂×#11719921	C₂³	1	1	yes	characteristic
295	C₂×#11719921	C₂³	1	1	yes	characteristic
296	C₂×#11719921	C₂³	1	1	yes	characteristic
297	C₂×#11719921	C₂³	1	1	yes	characteristic
298	C₂×#11719921	C₂³	1	1	yes	characteristic
299	C₂×#11719921	C₂³	1	1	yes	characteristic
300	C₂×#11719921	C₂³	1	1	yes	characteristic
301	C₂×#11719921	C₂³	1	1	yes	characteristic
302	C₂×#11719921	C₂³	1	1	yes	characteristic
303	C₂×#11719921	C₂³	1	1	yes	characteristic
304	C₂×#11719921	C₂³	1	1	yes	characteristic
305	C₂×#11719921	C₂³	1	1	yes	characteristic
306	C₂×#11719921	C₂³	1	1	yes	characteristic
307	C₂×#11719921	C₂³	1	1	yes	characteristic
308	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
309	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
310	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
311	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
312	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
313	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
314	C₂²⋊C₄×D₅₃	—	4	2	no	—
315	C₂²⋊C₄×D₅₃	—	4	2	no	—
316	C₂²⋊C₄×D₅₃	—	4	2	no	—
317	C₂²⋊C₄×D₅₃	—	4	2	no	—
318	C₂²⋊C₄×D₅₃	—	4	2	no	—
319	C₂²⋊C₄×D₅₃	—	4	2	no	—
320	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
321	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
322	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
323	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
324	#13133124	C₂³	1	1	yes	characteristic, complemented
325	#13133124	C₂³	1	1	yes	characteristic, complemented
326	#13133124	C₂³	1	1	yes	characteristic, complemented
327	#13133124	C₂³	1	1	yes	characteristic, complemented
328	#13133124	C₂³	1	1	yes	characteristic, complemented
329	#13133124	C₂³	1	1	yes	characteristic, complemented
330	#13133124	C₂³	1	1	yes	characteristic, complemented
331	#13133124	C₂³	1	1	yes	characteristic, complemented
332	#13133124	C₂³	1	1	yes	characteristic, complemented
333	#13133124	C₂³	1	1	yes	characteristic, complemented
334	#13133124	C₂³	1	1	yes	characteristic, complemented
335	#13133124	C₂³	1	1	yes	characteristic, complemented
336	#13133124	C₂³	1	1	yes	characteristic, complemented
337	#13133124	C₂³	1	1	yes	characteristic, complemented
338	#13133124	C₂³	1	1	yes	characteristic, complemented
339	#13133124	C₂³	1	1	yes	characteristic, complemented
340	#13133124	C₂³	1	1	yes	characteristic, complemented
341	#13133124	C₂³	1	1	yes	characteristic, complemented
342	#13133124	C₂³	1	1	yes	characteristic, complemented
343	#13133124	C₂³	1	1	yes	characteristic, complemented
344	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
345	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
346	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
347	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
348	#126×C₅₃	—	4	2	no	—
349	#120×C₅₃	—	4	2	no	—
350	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
351	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
352	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
353	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
354	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
355	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
356	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
372	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
373	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
374	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
375	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
376	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
377	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
378	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
379	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
380	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
381	C₂⁴×C₅₃	—	2	2	no	—
382	C₂⁴×C₅₃	—	2	2	no	—
383	C₂⁴×C₅₃	—	2	2	no	—
384	C₂⁴×C₅₃	—	4	1	no	—
385	C₂⁴×C₅₃	—	4	1	no	—
386	C₂⁴×C₅₃	—	4	1	no	—
387	C₂⁴×C₅₃	—	4	1	no	—
388	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
390	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
391	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
392	C₂³×D₅₃	—	2	2	no	—
393	C₂³×D₅₃	—	2	2	no	—
394	C₂³×D₅₃	—	2	2	no	—
395	C₂³×D₅₃	—	2	2	no	—
396	C₂³×D₅₃	—	2	2	no	—
397	C₂³×D₅₃	—	2	2	no	—
398	C₂³×D₅₃	—	2	2	no	—
399	C₂³×D₅₃	—	2	2	no	—
400	C₂³×D₅₃	—	2	2	no	—
401	C₂³×D₅₃	—	2	2	no	—
402	C₂³×D₅₃	—	2	2	no	—
403	C₂³×D₅₃	—	2	2	no	—
404	C₂³×D₅₃	—	2	2	no	—
405	C₂³×D₅₃	—	2	2	no	—
406	C₂³×D₅₃	—	2	2	no	—
407	C₂³×D₅₃	—	2	2	no	—
408	C₂³×D₅₃	—	2	2	no	—
409	C₂³×D₅₃	—	2	2	no	—
410	C₂³×D₅₃	—	2	2	no	—
411	C₂³×D₅₃	—	2	2	no	—
412	C₂³×D₅₃	—	2	2	no	—
413	C₂³×D₅₃	—	4	1	no	—
414	C₂³×D₅₃	—	4	1	no	—
415	C₂³×D₅₃	—	4	1	no	—
416	C₂³×D₅₃	—	4	1	no	—
417	C₂³×D₅₃	—	4	1	no	—
418	C₂³×D₅₃	—	4	1	no	—
419	C₂³×D₅₃	—	4	1	no	—
420	C₂³×D₅₃	—	4	1	no	—
421	C₂³×D₅₃	—	4	1	no	—
422	C₂³×D₅₃	—	4	1	no	—
423	C₂³×D₅₃	—	4	1	no	—
424	C₂³×D₅₃	—	4	1	no	—
425	C₂³×D₅₃	—	4	1	no	—
426	C₂³×D₅₃	—	4	1	no	—
427	C₂³×D₅₃	—	4	1	no	—
428	C₂³×D₅₃	—	4	1	no	—
429	C₂³×D₅₃	—	4	1	no	—
430	C₂³×D₅₃	—	4	1	no	—
431	C₂³×D₅₃	—	4	1	no	—
432	C₂³×D₅₃	—	4	1	no	—
433	C₂³×D₅₃	—	4	16	no	—
434	C₂³×D₅₃	—	4	16	no	—
435	C₂³×D₅₃	—	4	16	no	—
436	C₂³×D₅₃	—	4	16	no	—
437	C₂³×D₅₃	—	4	16	no	—
438	C₂³×D₅₃	—	4	16	no	—
439	C₂³×D₅₃	—	4	16	no	—
440	C₂³×D₅₃	#41	1	4	yes	—
441	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
442	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
443	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
444	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
445	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
446	C₂×D₄×C₅₃	—	2	2	no	—
447	C₂×D₄×C₅₃	—	2	2	no	—
448	C₂×D₄×C₅₃	—	2	2	no	—
449	C₂×D₄×C₅₃	—	4	1	no	—
450	C₂×D₄×C₅₃	—	4	1	no	—
451	C₂×D₄×C₅₃	—	4	1	no	—
452	C₂×D₄×C₅₃	—	4	1	no	—
453	C₂×D₄×C₅₃	—	4	1	no	—
454	C₂×D₄×C₅₃	—	4	1	no	—
455	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
466	C₂×C₂²⋊D₅₃	—	2	2	no	—
467	C₂×C₂²⋊D₅₃	—	2	2	no	—
468	C₂×C₂²⋊D₅₃	—	2	2	no	—
469	C₂×C₂²⋊D₅₃	—	2	2	no	—
470	C₂×C₂²⋊D₅₃	—	2	2	no	—
471	C₂×C₂²⋊D₅₃	—	2	2	no	—
472	C₂×C₂²⋊D₅₃	—	2	2	no	—
473	C₂×C₂²⋊D₅₃	—	2	2	no	—
474	C₂×C₂²⋊D₅₃	—	2	2	no	—
475	C₂×C₂²⋊D₅₃	—	4	1	no	—
476	C₂×C₂²⋊D₅₃	—	4	1	no	—
477	C₂×C₂²⋊D₅₃	—	4	1	no	—
478	C₂×C₂²⋊D₅₃	—	4	1	no	—
479	C₂×C₂²⋊D₅₃	—	4	1	no	—
480	C₂×C₂²⋊D₅₃	—	4	1	no	—
481	C₂×C₂²⋊D₅₃	—	4	1	no	—
482	C₂×C₂²⋊D₅₃	—	4	1	no	—
483	C₂×C₂²⋊D₅₃	—	4	1	no	—
484	C₂×C₂²⋊D₅₃	—	4	1	no	—
485	C₂×C₂²⋊D₅₃	—	4	1	no	—
486	C₂×C₂²⋊D₅₃	—	4	1	no	—
487	C₂×C₂²⋊D₅₃	—	4	1	no	—
488	C₂×C₂²⋊D₅₃	—	4	1	no	—
489	C₂×C₂²⋊D₅₃	—	4	1	no	—
490	C₂²×Dic₅₃	—	4	1	no	—
491	C₂²×Dic₅₃	—	4	1	no	—
492	C₂²×Dic₅₃	—	4	1	no	—
493	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
496	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
497	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
500	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
501	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
502	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
503	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
504	C₂×D₂₁₂	—	2	2	no	—
505	C₂×D₂₁₂	—	2	2	no	—
506	C₂×D₂₁₂	—	2	2	no	—
507	C₂×D₂₁₂	—	2	2	no	—
508	C₂×D₂₁₂	—	2	2	no	—
509	C₂×D₂₁₂	—	2	2	no	—
510	C₂×D₂₁₂	—	4	1	no	—
511	C₂×D₂₁₂	—	4	1	no	—
512	C₂×D₂₁₂	—	4	1	no	—
513	C₂×D₂₁₂	—	4	1	no	—
514	C₂×D₂₁₂	—	4	1	no	—
515	C₂×D₂₁₂	—	4	1	no	—
516	C₂×C₄×D₅₃	—	2	2	no	—
517	C₂×C₄×D₅₃	—	2	2	no	—
518	C₂×C₄×D₅₃	—	2	2	no	—
519	C₂×C₄×D₅₃	—	2	2	no	—
520	C₂×C₄×D₅₃	—	4	1	no	—
521	C₂×C₄×D₅₃	—	4	1	no	—
522	C₂×C₄×D₅₃	—	4	1	no	—
523	C₂×C₄×D₅₃	—	4	1	no	—
524	C₂×C₄×D₅₃	—	4	1	no	—
525	C₂×C₄×D₅₃	—	4	1	no	—
526	C₂×C₄×D₅₃	—	4	1	no	—
527	C₂×C₄×D₅₃	—	4	1	no	—
528	C₂×C₄×D₅₃	—	4	1	no	—
529	C₂×C₄×D₅₃	—	4	1	no	—
530	C₂×C₄×D₅₃	—	4	1	no	—
531	C₂×Dic₁₀₆	—	4	1	no	—
532	C₂×Dic₁₀₆	—	4	1	no	—
533	C₂×Dic₁₀₆	—	4	1	no	—
534	C₄⋊C₄×C₅₃	—	4	1	no	—
535	C₄⋊C₄×C₅₃	—	4	1	no	—
536	C₄⋊C₄×C₅₃	—	4	1	no	—
537	C₄⋊C₄×C₅₃	—	4	1	no	—
538	C₄⋊C₄×C₅₃	—	4	1	no	—
539	C₄⋊C₄×C₅₃	—	4	1	no	—
540	C₂²⋊C₄×C₅₃	—	2	2	no	—
541	C₂²⋊C₄×C₅₃	—	2	2	no	—
542	C₂²⋊C₄×C₅₃	—	2	2	no	—
543	C₂²⋊C₄×C₅₃	—	2	2	no	—
544	C₂²⋊C₄×C₅₃	—	2	2	no	—
545	C₂²⋊C₄×C₅₃	—	4	1	no	—
546	C₂²⋊C₄×C₅₃	—	4	1	no	—
547	C₂²⋊C₄×C₅₃	—	4	1	no	—
548	C₂²⋊C₄×C₅₃	—	4	1	no	—
549	C₂²⋊C₄×C₅₃	—	4	1	no	—
550	C₂²⋊C₄×C₅₃	—	4	1	no	—
551	C₂²⋊C₄×C₅₃	—	4	1	no	—
552	C₂²⋊C₄×C₅₃	—	4	1	no	—
553	C₂²⋊C₄×C₅₃	—	4	1	no	—
554	C₂²⋊C₄×C₅₃	—	4	1	no	—
555	C₂²⋊C₄×C₅₃	—	4	1	no	—
556	C₂²⋊C₄×C₅₃	—	4	1	no	—
557	C₂²⋊C₄×C₅₃	—	4	1	no	—
558	C₂²⋊C₄×C₅₃	—	4	1	no	—
559	C₄²×C₅₃	—	4	1	no	—
560	C₄²×C₅₃	—	4	1	no	—
561	C₂²⋊Dic₅₃	—	2	2	no	—
562	C₂²⋊Dic₅₃	—	2	2	no	—
563	C₂²⋊Dic₅₃	—	2	2	no	—
564	C₂²⋊Dic₅₃	—	2	2	no	—
565	C₂²⋊Dic₅₃	—	2	2	no	—
566	C₂²⋊Dic₅₃	—	4	1	no	—
567	C₂²⋊Dic₅₃	—	4	1	no	—
568	C₂²⋊Dic₅₃	—	4	1	no	—
569	C₂²⋊Dic₅₃	—	4	1	no	—
570	C₂²⋊Dic₅₃	—	4	1	no	—
571	C₂²⋊Dic₅₃	—	4	1	no	—
572	C₂²⋊Dic₅₃	—	4	1	no	—
573	C₂²⋊Dic₅₃	—	4	1	no	—
574	C₂²⋊Dic₅₃	—	4	1	no	—
575	C₂²⋊Dic₅₃	—	4	1	no	—
576	C₂²⋊Dic₅₃	—	4	1	no	—
577	C₂²⋊Dic₅₃	—	4	1	no	—
578	#11719921	—	2	2	no	—
579	#11719921	—	2	2	no	—
580	#11719921	—	2	2	no	—
581	#11719921	—	2	2	no	—
582	#11719921	—	2	2	no	—
583	#11719921	—	2	2	no	—
584	#11719921	—	2	2	no	—
585	#11719921	—	2	2	no	—
586	#11719921	—	2	2	no	—
587	#11719921	—	2	2	no	—
588	#11719921	—	2	2	no	—
589	#11719921	—	2	2	no	—
590	#11719921	—	2	2	no	—
591	#11719921	—	2	2	no	—
592	#11719921	—	2	2	no	—
593	#11719921	—	2	2	no	—
594	#11719921	—	4	1	no	—
595	#11719921	—	4	1	no	—
596	#11719921	—	4	1	no	—
597	#11719921	—	4	1	no	—
598	#11719921	—	4	1	no	—
599	#11719921	—	4	1	no	—
600	#11719921	—	4	1	no	—
601	#11719921	—	4	1	no	—
602	#11719921	—	4	1	no	—
603	#11719921	—	4	1	no	—
604	#11719921	—	4	1	no	—
605	#11719921	—	4	1	no	—
606	#11719921	—	4	1	no	—
607	#11719921	—	4	1	no	—
608	#11719921	—	4	1	no	—
609	#11719921	—	4	1	no	—
610	#11719921	—	4	1	no	—
611	#11719921	—	4	1	no	—
612	#11719921	—	4	1	no	—
613	#11719921	—	4	1	no	—
614	#11719921	—	4	1	no	—
615	#11719921	—	4	1	no	—
616	#11719921	—	4	1	no	—
617	#11719921	—	4	1	no	—
618	#11719921	—	4	1	no	—
619	#11719921	—	4	1	no	—
620	C₄⋊Dic₅₃	—	4	1	no	—
621	C₄⋊Dic₅₃	—	4	1	no	—
622	C₄⋊Dic₅₃	—	4	1	no	—
623	C₄⋊Dic₅₃	—	4	1	no	—
624	#11719919	—	4	1	no	—
625	#11719919	—	4	1	no	—
626	#11719919	—	4	1	no	—
627	#11719919	—	4	1	no	—
628	#11719919	—	4	1	no	—
629	#11719919	—	4	1	no	—
630	#11719919	—	4	1	no	—
631	#11719919	—	4	1	no	—
632	C₄×Dic₅₃	—	4	1	no	—
633	C₄×Dic₅₃	—	4	1	no	—
634	C₄×Dic₅₃	—	4	1	no	—
635	C₄×Dic₅₃	—	4	1	no	—
636	C₂³×C₅₃	—	2	1	no	—
637	C₂³×C₅₃	—	2	1	no	—
638	C₂³×C₅₃	—	2	1	no	—
639	C₂³×C₅₃	—	2	1	no	—
640	C₂³×C₅₃	—	2	1	no	—
641	C₂³×C₅₃	—	2	1	no	—
642	C₂³×C₅₃	—	2	1	no	—
643	C₂³×C₅₃	—	2	1	no	—
644	C₂³×C₅₃	—	2	1	no	—
645	C₂³×C₅₃	—	2	1	no	—
646	C₂³×C₅₃	—	2	1	no	—
647	C₂³×C₅₃	—	2	1	no	—
648	C₂³×C₅₃	—	2	1	no	—
649	C₂³×C₅₃	—	2	1	no	—
650	C₂³×C₅₃	—	2	1	no	—
651	C₂³×C₅₃	—	2	1	no	—
652	C₂³×C₅₃	—	2	1	no	—
653	C₂³×C₅₃	—	2	1	no	—
654	C₂³×C₅₃	—	2	1	no	—
655	C₂³×C₅₃	—	2	1	no	—
656	C₂³×C₅₃	—	2	1	no	—
657	C₂³×C₅₃	—	2	1	no	—
658	C₂³×C₅₃	—	2	1	no	—
659	C₂³×C₅₃	—	2	1	no	—
660	C₂³×C₅₃	—	2	1	no	—
661	C₂³×C₅₃	—	4	4	no	—
662	C₂³×C₅₃	—	4	4	no	—
663	C₂³×C₅₃	—	4	4	no	—
664	C₂³×C₅₃	—	4	4	no	—
665	C₂³×C₅₃	—	4	4	no	—
666	C₂³×C₅₃	—	4	4	no	—
667	C₂³×C₅₃	—	4	4	no	—
668	C₂³×C₅₃	C₂×#41	1	2	yes	—
669	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
670	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
671	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
672	C₂²×D₅₃	—	2	1	no	—
673	C₂²×D₅₃	—	2	1	no	—
674	C₂²×D₅₃	—	2	1	no	—
675	C₂²×D₅₃	—	2	1	no	—
676	C₂²×D₅₃	—	2	8	no	—
677	C₂²×D₅₃	—	2	8	no	—
678	C₂²×D₅₃	—	2	1	no	—
679	C₂²×D₅₃	—	2	1	no	—
680	C₂²×D₅₃	—	2	1	no	—
681	C₂²×D₅₃	—	2	1	no	—
682	C₂²×D₅₃	—	2	1	no	—
683	C₂²×D₅₃	—	2	1	no	—
684	C₂²×D₅₃	—	2	1	no	—
685	C₂²×D₅₃	—	2	1	no	—
686	C₂²×D₅₃	—	2	1	no	—
687	C₂²×D₅₃	—	2	1	no	—
688	C₂²×D₅₃	—	2	1	no	—
689	C₂²×D₅₃	—	2	1	no	—
690	C₂²×D₅₃	—	2	1	no	—
691	C₂²×D₅₃	—	2	1	no	—
692	C₂²×D₅₃	—	2	1	no	—
693	C₂²×D₅₃	—	2	1	no	—
694	C₂²×D₅₃	—	2	1	no	—
695	C₂²×D₅₃	—	2	1	no	—
696	C₂²×D₅₃	—	2	8	no	—
697	C₂²×D₅₃	—	2	1	no	—
698	C₂²×D₅₃	—	2	1	no	—
699	C₂²×D₅₃	—	2	1	no	—
700	C₂²×D₅₃	—	2	1	no	—
701	C₂²×D₅₃	—	2	1	no	—
702	C₂²×D₅₃	—	2	1	no	—
703	C₂²×D₅₃	—	2	1	no	—
704	C₂²×D₅₃	—	4	4	no	—
705	C₂²×D₅₃	—	4	4	no	—
706	C₂²×D₅₃	—	4	4	no	—
707	C₂²×D₅₃	—	4	4	no	—
708	C₂²×D₅₃	—	4	4	no	—
709	C₂²×D₅₃	—	4	4	no	—
710	C₂²×D₅₃	—	4	4	no	—
711	C₂²×D₅₃	—	4	4	no	—
712	C₂²×D₅₃	—	4	4	no	—
713	C₂²×D₅₃	—	4	4	no	—
714	C₂²×D₅₃	—	4	4	no	—
715	C₂²×D₅₃	—	4	4	no	—
716	C₂²×D₅₃	—	4	4	no	—
717	C₂²×D₅₃	—	4	4	no	—
718	C₂²×D₅₃	—	4	4	no	—
719	C₂²×D₅₃	—	4	4	no	—
720	C₂²×D₅₃	—	4	4	no	—
721	C₂²×D₅₃	—	4	4	no	—
722	C₂²×D₅₃	—	4	4	no	—
723	C₂²×D₅₃	—	4	4	no	—
724	C₂²×D₅₃	—	4	4	no	—
725	C₂²×D₅₃	—	4	4	no	—
726	C₂²×D₅₃	—	4	4	no	—
727	C₂²×D₅₃	—	4	4	no	—
728	C₂²×D₅₃	—	4	4	no	—
729	C₂²×D₅₃	—	4	4	no	—
730	C₂²×D₅₃	—	4	4	no	—
731	C₂²×D₅₃	—	4	4	no	—
732	C₂²×D₅₃	—	4	4	no	—
733	C₂²×D₅₃	—	4	4	no	—
734	C₂²×D₅₃	—	4	4	no	—
735	C₂²×D₅₃	—	4	4	no	—
736	C₂²×D₅₃	—	4	4	no	—
737	C₂²×D₅₃	—	4	4	no	—
738	C₂²×D₅₃	—	4	128	no	—
739	C₂²×D₅₃	—	4	4	no	—
740	C₂²×D₅₃	—	4	4	no	—
741	C₂²×D₅₃	—	4	4	no	—
742	C₂²×D₅₃	—	4	4	no	—
743	C₂²×D₅₃	—	4	4	no	—
744	C₂²×D₅₃	C₂×#41	1	2	yes	—
745	C₂²×D₅₃	C₂×#41	1	2	yes	—
746	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
747	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
748	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
749	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
750	D₄×C₅₃	—	8	2	no	—
751	D₄×C₅₃	—	8	2	no	—
752	D₄×C₅₃	—	8	2	no	—
753	C₂×C₄×C₅₃	—	2	1	no	—
754	C₂×C₄×C₅₃	—	2	1	no	—
755	C₂×C₄×C₅₃	—	2	1	no	—
756	C₂×C₄×C₅₃	—	2	1	no	—
757	C₂×C₄×C₅₃	—	2	1	no	—
758	C₂×C₄×C₅₃	—	2	1	no	—
759	C₂×C₄×C₅₃	—	2	1	no	—
760	C₂×C₄×C₅₃	—	2	1	no	—
761	C₂×C₄×C₅₃	—	2	1	no	—
762	C₂×C₄×C₅₃	—	2	1	no	—
763	C₂×C₄×C₅₃	—	2	1	no	—
764	C₂×C₄×C₅₃	—	2	1	no	—
765	C₂×C₄×C₅₃	—	2	1	no	—
766	C₂×C₄×C₅₃	—	2	1	no	—
767	C₂×C₄×C₅₃	—	2	1	no	—
768	C₂×C₄×C₅₃	—	2	1	no	—
769	C₂×C₄×C₅₃	—	2	1	no	—
770	C₂×C₄×C₅₃	—	2	1	no	—
771	C₂×C₄×C₅₃	—	2	1	no	—
772	C₂×C₄×C₅₃	—	2	1	no	—
773	C₂×C₄×C₅₃	—	2	1	no	—
774	C₂×C₄×C₅₃	—	2	1	no	—
775	C₂×C₄×C₅₃	—	2	1	no	—
776	C₂×C₄×C₅₃	—	2	1	no	—
777	C₂×C₄×C₅₃	—	2	1	no	—
778	C₂×C₄×C₅₃	—	2	1	no	—
779	C₂×C₄×C₅₃	—	2	1	no	—
780	C₂×C₄×C₅₃	—	2	1	no	—
781	C₂×C₄×C₅₃	—	2	1	no	—
782	C₂×C₄×C₅₃	—	2	1	no	—
783	C₂×C₄×C₅₃	—	2	1	no	—
784	C₂×C₄×C₅₃	—	2	1	no	—
785	C₂×C₄×C₅₃	—	2	1	no	—
786	C₂²⋊D₅₃	—	4	4	no	—
787	C₂²⋊D₅₃	—	8	2	no	—
788	C₂²⋊D₅₃	—	8	2	no	—
789	C₂²⋊D₅₃	—	8	2	no	—
790	C₂²⋊D₅₃	—	8	2	no	—
791	C₂²⋊D₅₃	—	8	2	no	—
792	C₂²⋊D₅₃	—	8	2	no	—
793	C₂²⋊D₅₃	—	8	2	no	—
794	C₂×Dic₅₃	—	2	1	no	—
795	C₂×Dic₅₃	—	2	1	no	—
796	C₂×Dic₅₃	—	2	1	no	—
797	C₂×Dic₅₃	—	2	1	no	—
798	C₂×Dic₅₃	—	2	1	no	—
799	C₂×Dic₅₃	—	2	1	no	—
800	C₂×Dic₅₃	—	2	1	no	—
801	C₂×Dic₅₃	—	2	1	no	—
802	C₂×Dic₅₃	—	2	1	no	—
803	C₂×Dic₅₃	—	2	1	no	—
804	C₂×Dic₅₃	—	2	1	no	—
805	C₂×Dic₅₃	—	2	1	no	—
806	C₂×Dic₅₃	—	2	1	no	—
807	C₂×Dic₅₃	—	2	1	no	—
808	C₂×Dic₅₃	—	2	1	no	—
809	C₂×Dic₅₃	—	2	1	no	—
810	C₂×Dic₅₃	—	2	1	no	—
811	C₂×Dic₅₃	—	2	1	no	—
812	C₂×Dic₅₃	—	2	1	no	—
813	C₂×Dic₅₃	—	2	1	no	—
814	C₂×Dic₅₃	—	2	1	no	—
815	C₂×Dic₅₃	—	2	1	no	—
816	C₂×Dic₅₃	—	2	1	no	—
817	C₂×Dic₅₃	—	2	1	no	—
818	C₂×Dic₅₃	—	2	1	no	—
819	C₂×Dic₅₃	—	2	1	no	—
820	C₂×Dic₅₃	—	2	1	no	—
821	C₂×Dic₅₃	—	2	1	no	—
822	C₂×Dic₅₃	—	2	1	no	—
823	C₂×Dic₅₃	—	2	1	no	—
824	C₂×Dic₅₃	—	2	1	no	—
825	C₂×Dic₅₃	—	2	1	no	—
826	C₂×Dic₅₃	—	2	1	no	—
827	C₂×Dic₅₃	—	8	2	no	—
828	D₂₁₂	—	4	4	no	—
829	D₂₁₂	—	8	2	no	—
830	D₂₁₂	—	8	2	no	—
831	D₂₁₂	—	8	2	no	—
832	C₄×D₅₃	—	8	2	no	—
833	C₄×D₅₃	—	8	2	no	—
834	C₄×D₅₃	—	8	2	no	—
835	C₄×D₅₃	—	8	2	no	—
836	C₄×D₅₃	—	8	2	no	—
837	Dic₁₀₆	—	8	2	no	—
838	#36725	—	53	1	no	maximal, Sylow
839	C₂²×C₅₃	—	2	2	no	—
840	C₂²×C₅₃	—	2	2	no	—
841	C₂²×C₅₃	—	2	2	no	—
842	C₂²×C₅₃	—	2	2	no	—
843	C₂²×C₅₃	—	2	2	no	—
844	C₂²×C₅₃	—	2	2	no	—
845	C₂²×C₅₃	—	2	2	no	—
846	C₂²×C₅₃	—	2	2	no	—
847	C₂²×C₅₃	—	2	2	no	—
848	C₂²×C₅₃	—	4	16	no	—
849	C₂²×C₅₃	—	4	1	no	—
850	C₂²×C₅₃	—	4	1	no	—
851	C₂²×C₅₃	—	4	1	no	—
852	C₂²×C₅₃	—	4	1	no	—
853	C₂²×C₅₃	—	4	1	no	—
854	C₂²×C₅₃	—	4	1	no	—
855	C₂²×C₅₃	—	4	1	no	—
856	C₂²×C₅₃	—	4	1	no	—
857	C₂²×C₅₃	—	4	1	no	—
858	C₂²×C₅₃	—	4	1	no	—
859	C₂²×C₅₃	—	4	1	no	—
860	C₂²×C₅₃	—	4	1	no	—
861	C₂²×C₅₃	—	4	1	no	—
862	C₂²×C₅₃	—	4	1	no	—
863	C₂²×C₅₃	—	4	1	no	—
864	C₂²×C₅₃	—	4	1	no	—
865	C₂²×C₅₃	—	4	1	no	—
866	C₂²×C₅₃	—	4	1	no	—
867	C₂²×C₅₃	—	4	1	no	—
868	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
869	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
870	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
871	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
872	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
873	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
875	C₂×D₅₃	—	2	2	no	—
876	C₂×D₅₃	—	2	2	no	—
877	C₂×D₅₃	—	2	2	no	—
878	C₂×D₅₃	—	2	2	no	—
879	C₂×D₅₃	—	2	2	no	—
880	C₂×D₅₃	—	2	2	no	—
881	C₂×D₅₃	—	2	2	no	—
882	C₂×D₅₃	—	2	2	no	—
883	C₂×D₅₃	—	2	2	no	—
884	C₂×D₅₃	—	2	2	no	—
885	C₂×D₅₃	—	2	2	no	—
886	C₂×D₅₃	—	2	2	no	—
887	C₂×D₅₃	—	2	2	no	—
888	C₂×D₅₃	—	2	2	no	—
889	C₂×D₅₃	—	2	2	no	—
890	C₂×D₅₃	—	4	16	no	—
891	C₂×D₅₃	—	4	16	no	—
892	C₂×D₅₃	—	4	16	no	—
893	C₂×D₅₃	—	4	16	no	—
894	C₂×D₅₃	—	4	16	no	—
895	C₂×D₅₃	—	4	16	no	—
896	C₂×D₅₃	—	4	1	no	—
897	C₂×D₅₃	—	4	1	no	—
898	C₂×D₅₃	—	4	1	no	—
899	C₂×D₅₃	—	4	1	no	—
900	C₂×D₅₃	—	4	1	no	—
901	C₂×D₅₃	—	4	1	no	—
902	C₂×D₅₃	—	4	1	no	—
903	C₂×D₅₃	—	4	1	no	—
904	C₂×D₅₃	—	4	1	no	—
905	C₂×D₅₃	—	4	1	no	—
906	C₂×D₅₃	—	4	1	no	—
907	C₂×D₅₃	—	4	1	no	—
908	C₂×D₅₃	—	4	1	no	—
909	C₂×D₅₃	—	4	1	no	—
910	C₂×D₅₃	—	4	1	no	—
911	C₂×D₅₃	—	4	1	no	—
912	C₂×D₅₃	—	4	1	no	—
913	C₂×D₅₃	—	4	1	no	—
914	C₂×D₅₃	—	4	1	no	—
915	C₂×D₅₃	#538	1	4	yes	—
916	C₄×C₅₃	—	4	1	no	—
917	C₄×C₅₃	—	4	1	no	—
918	C₄×C₅₃	—	4	1	no	—
919	C₄×C₅₃	—	4	1	no	—
920	C₄×C₅₃	—	4	1	no	—
921	C₄×C₅₃	—	4	1	no	—
922	C₄×C₅₃	—	4	1	no	—
923	C₄×C₅₃	—	4	1	no	—
924	C₄×C₅₃	—	4	1	no	—
925	C₄×C₅₃	—	4	1	no	—
926	C₄×C₅₃	—	4	1	no	—
927	Dic₅₃	—	4	1	no	—
928	Dic₅₃	—	4	1	no	—
929	Dic₅₃	—	4	1	no	—
930	Dic₅₃	—	4	1	no	—
931	Dic₅₃	—	4	1	no	—
932	Dic₅₃	—	4	1	no	—
933	Dic₅₃	—	4	1	no	—
934	Dic₅₃	—	4	1	no	—
935	Dic₅₃	—	4	1	no	—
936	Dic₅₃	—	4	1	no	—
937	Dic₅₃	—	4	1	no	—
938	#2846	—	53	1	no	—
939	#2846	—	53	1	no	—
940	#2736	—	53	1	no	—
941	#2735	—	53	1	no	—
942	#2735	—	53	1	no	—
943	#2735	—	53	1	no	—
944	#2697	—	53	1	no	—
945	#2697	—	53	1	no	—
946	#2685	—	53	1	no	—
947	#2685	—	53	1	no	—
948	#2685	—	53	1	no	—
949	#2685	D₅₃	1	1	yes	characteristic, complemented
950	#2684	—	53	1	no	—
951	#2684	—	53	1	no	—
952	#2678	—	53	1	no	—
953	#2678	—	53	1	no	—
954	#2670	—	53	1	no	—
955	#2668	—	53	1	no	—
956	#2626	—	53	1	no	—
957	#2617	—	53	1	no	—
958	#2480	—	53	1	no	—
959	#2480	—	53	1	no	—
960	#2472	—	53	1	no	—
961	#2472	—	53	1	no	—
962	#2424	—	53	1	no	—
963	#2424	—	53	1	no	—
964	#2418	—	53	1	no	—
965	#2418	—	53	1	no	—
966	#2321	—	53	1	no	—
967	#2321	—	53	1	no	—
968	C₂×#379	—	53	1	no	—
969	C₂×C₅₃	—	4	2	no	—
970	C₂×C₅₃	—	4	2	no	—
971	C₂×C₅₃	—	4	2	no	—
972	C₂×C₅₃	—	8	1	no	—
973	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
974	C₂×C₅₃	#3490	1	1	yes	characteristic
975	C₂×C₅₃	#3490	1	1	yes	characteristic
976	C₂×C₅₃	#3532	1	1	yes	characteristic
977	C₂×C₅₃	#3532	1	1	yes	characteristic
978	C₂×C₅₃	#3532	1	1	yes	characteristic
979	C₂×C₅₃	#3532	1	1	yes	characteristic
980	D₅₃	—	2	4	no	—
981	D₅₃	—	4	2	no	—
982	D₅₃	—	4	2	no	—
983	D₅₃	—	4	2	no	—
984	D₅₃	—	8	1	no	—
985	C₂⁶	—	53	1	no	—
986	C₂×#126	—	53	1	no	—
987	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
988	C₂×#124	—	53	1	no	—
989	C₂×#124	—	53	1	no	—
990	C₂×#123	—	53	1	no	—
991	C₂×#123	—	53	1	no	—
992	C₂×C₂²⋊Q₈	—	53	1	no	—
993	C₂×#121	—	53	1	no	—
994	C₂×#121	—	53	1	no	—
995	C₂×#121	—	53	1	no	—
996	C₂×#120	—	53	1	no	—
997	C₂×#120	—	53	1	no	—
998	C₂×#120	—	53	1	no	—
999	C₂×#120	—	53	1	no	—
1000	C₂×#120	—	53	1	no	—
1001	C₂×#120	—	53	1	no	—
1002	C₂×#120	—	53	1	no	—
1003	C₂×#120	—	53	1	no	—
1004	C₂×#120	—	53	1	no	—
1005	C₂×#120	—	53	1	no	—
1006	C₂×#120	—	53	1	no	—
1007	C₂×#120	—	53	1	no	—
1008	C₂×#120	—	53	1	no	—
1009	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1010	C₂×C₄×D₄	—	53	1	no	—
1011	C₂×C₄×D₄	—	53	1	no	—
1012	C₂²×C₂²⋊C₄	—	53	1	no	—
1013	C₂²×C₂²⋊C₄	—	53	1	no	—
1014	C₂²×C₂²⋊C₄	—	53	1	no	—
1015	C₂²×C₂²⋊C₄	—	53	1	no	—
1016	C₂²×C₂²⋊C₄	—	53	1	no	—
1017	C₂²×C₂²⋊C₄	—	53	1	no	—
1018	#399	—	53	1	no	—
1019	#399	—	53	1	no	—
1020	#399	—	53	1	no	—
1021	#399	C₂×D₅₃	1	1	yes	characteristic, complemented
1022	#397	—	53	1	no	—
1023	#397	—	53	1	no	—
1024	#397	—	53	1	no	—
1025	#397	—	53	1	no	—
1026	#397	—	53	1	no	—
1027	#397	—	53	1	no	—
1028	#397	—	53	1	no	—
1029	#397	—	53	1	no	—
1030	#397	—	53	1	no	—
1031	#397	—	53	1	no	—
1032	#397	—	53	1	no	—
1033	#397	—	53	1	no	—
1034	#396	—	53	1	no	—
1035	#396	—	53	1	no	—
1036	#396	—	53	1	no	—
1037	#396	—	53	1	no	—
1038	#396	—	53	1	no	—
1039	#396	—	53	1	no	—
1040	#396	—	53	1	no	—
1041	#396	C₂×D₅₃	1	1	yes	characteristic, complemented
1042	#394	—	53	1	no	—
1043	#394	—	53	1	no	—
1044	#394	—	53	1	no	—
1045	#394	—	53	1	no	—
1046	#394	—	53	1	no	—
1047	#394	—	53	1	no	—
1048	#394	—	53	1	no	—
1049	#394	—	53	1	no	—
1050	#394	—	53	1	no	—
1051	#394	—	53	1	no	—
1052	#394	—	53	1	no	—
1053	#394	—	53	1	no	—
1054	#394	C₂×D₅₃	1	1	yes	characteristic, complemented
1055	#394	C₂×D₅₃	1	1	yes	characteristic, complemented
1056	#394	C₂×D₅₃	1	1	yes	characteristic, complemented
1057	#394	C₂×D₅₃	1	1	yes	characteristic, complemented
1058	#393	—	53	1	no	—
1059	#393	—	53	1	no	—
1060	#393	—	53	1	no	—
1061	#393	—	53	1	no	—
1062	#392	—	53	1	no	—
1063	#392	—	53	1	no	—
1064	#392	—	53	1	no	—
1065	#392	—	53	1	no	—
1066	#390	—	53	1	no	—
1067	#390	—	53	1	no	—
1068	#390	—	53	1	no	—
1069	#390	—	53	1	no	—
1070	#390	—	53	1	no	—
1071	#390	—	53	1	no	—
1072	#390	C₂×D₅₃	1	1	yes	characteristic, complemented
1073	#390	C₂×D₅₃	1	1	yes	characteristic, complemented
1074	#388	—	53	1	no	—
1075	#388	—	53	1	no	—
1076	#388	—	53	1	no	—
1077	#388	—	53	1	no	—
1078	#388	—	53	1	no	—
1079	#388	—	53	1	no	—
1080	#388	—	53	1	no	—
1081	#388	—	53	1	no	—
1082	#388	—	53	1	no	—
1083	#388	—	53	1	no	—
1084	#388	—	53	1	no	—
1085	#388	—	53	1	no	—
1086	#388	—	53	1	no	—
1087	#388	—	53	1	no	—
1088	#388	—	53	1	no	—
1089	#388	—	53	1	no	—
1090	#388	—	53	1	no	—
1091	#388	—	53	1	no	—
1092	#388	—	53	1	no	—
1093	#388	—	53	1	no	—
1094	#388	—	53	1	no	—
1095	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1096	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1097	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1098	#386	—	53	1	no	—
1099	#386	—	53	1	no	—
1100	#386	—	53	1	no	—
1101	#386	—	53	1	no	—
1102	#386	—	53	1	no	—
1103	#386	—	53	1	no	—
1104	#386	—	53	1	no	—
1105	#386	—	53	1	no	—
1106	#386	—	53	1	no	—
1107	#386	—	53	1	no	—
1108	#386	—	53	1	no	—
1109	#386	—	53	1	no	—
1110	#385	—	53	1	no	—
1111	#385	—	53	1	no	—
1112	#385	—	53	1	no	—
1113	#385	—	53	1	no	—
1114	#380	—	53	1	no	—
1115	#380	—	53	1	no	—
1116	#379	—	53	1	no	—
1117	#379	—	53	1	no	—
1118	#379	—	53	1	no	—
1119	#379	—	53	1	no	—
1120	#379	—	53	1	no	—
1121	#379	—	53	1	no	—
1122	#379	—	53	1	no	—
1123	#379	—	53	1	no	—
1124	#379	—	53	1	no	—
1125	#379	—	53	1	no	—
1126	#379	—	53	1	no	—
1127	#379	—	53	1	no	—
1128	#379	—	53	1	no	—
1129	#379	—	53	1	no	—
1130	#379	—	53	1	no	—
1131	#379	—	53	1	no	—
1132	#379	—	53	1	no	—
1133	#379	—	53	1	no	—
1134	#379	—	53	1	no	—
1135	#379	—	53	1	no	—
1136	#379	C₂×D₅₃	1	1	yes	characteristic
1137	#379	C₂×D₅₃	1	1	yes	characteristic
1138	C₄×C₂²⋊C₄	—	53	1	no	—
1139	C₄×C₂²⋊C₄	—	53	1	no	—
1140	C₅₃	#36725	1	1	yes	characteristic, complemented, Sylow
1141	C₂⁵	—	53	1	no	—
1142	C₂⁵	—	53	1	no	—
1143	C₂⁵	—	53	1	no	—
1144	C₂⁵	—	53	1	no	—
1145	C₂⁵	—	53	1	no	—
1146	C₂⁵	—	53	1	no	—
1147	C₂⁵	—	106	4	no	—
1148	C₂⁵	—	212	2	no	—
1149	C₂⁵	—	212	2	no	—
1150	C₂⁵	—	212	2	no	—
1151	C₂⁵	—	212	2	no	—
1152	C₂⁵	—	212	2	no	—
1153	C₂⁵	—	212	2	no	—
1154	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1155	C₂²×Q₈	—	53	1	no	—
1156	C₂²×D₄	—	53	1	no	—
1157	C₂²×D₄	—	53	1	no	—
1158	C₂²×D₄	—	53	1	no	—
1159	C₂²×D₄	—	53	1	no	—
1160	C₂²×D₄	—	53	1	no	—
1161	C₂²×D₄	—	53	1	no	—
1162	C₂²×D₄	—	53	1	no	—
1163	C₂²×D₄	—	53	1	no	—
1164	C₂²×D₄	—	53	1	no	—
1165	C₂²×D₄	—	53	1	no	—
1166	C₂²×D₄	—	53	1	no	—
1167	C₂²×D₄	—	53	1	no	—
1168	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1169	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1170	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1171	C₂³×C₄	—	53	1	no	—
1172	C₂³×C₄	—	53	1	no	—
1173	C₂³×C₄	—	53	1	no	—
1174	C₂³×C₄	—	53	1	no	—
1175	C₂³×C₄	—	53	1	no	—
1176	C₂³×C₄	—	53	1	no	—
1177	#126	—	4	2	no	—
1178	#126	—	212	2	no	—
1179	#124	—	212	2	no	—
1180	#124	—	212	2	no	—
1181	#123	—	212	2	no	—
1182	#123	—	212	2	no	—
1183	C₂²⋊Q₈	—	212	2	no	—
1184	#121	—	212	2	no	—
1185	#121	—	212	2	no	—
1186	#121	—	212	2	no	—
1187	#120	—	4	2	no	—
1188	#120	—	106	4	no	—
1189	#120	—	106	4	no	—
1190	#120	—	212	2	no	—
1191	#120	—	212	2	no	—
1192	#120	—	212	2	no	—
1193	#120	—	212	2	no	—
1194	#120	—	212	2	no	—
1195	#120	—	212	2	no	—
1196	#120	—	212	2	no	—
1197	#120	—	212	2	no	—
1198	#120	—	212	2	no	—
1199	#120	—	212	2	no	—
1200	#120	—	212	2	no	—
1201	C₄×D₄	—	212	2	no	—
1202	C₄×D₄	—	212	2	no	—
1203	C₂×C₄⋊C₄	—	53	1	no	—
1204	C₂×C₄⋊C₄	—	53	1	no	—
1205	C₂×C₄⋊C₄	—	53	1	no	—
1206	C₂×C₄⋊C₄	—	53	1	no	—
1207	C₂×C₄⋊C₄	—	53	1	no	—
1208	C₂×C₄⋊C₄	—	53	1	no	—
1209	C₂×C₄⋊C₄	—	53	1	no	—
1210	C₂×C₄⋊C₄	—	53	1	no	—
1211	C₂×C₄⋊C₄	—	53	1	no	—
1212	C₂×C₄⋊C₄	—	53	1	no	—
1213	C₂×C₄⋊C₄	—	53	1	no	—
1214	C₂×C₄⋊C₄	—	53	1	no	—
1215	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1216	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1217	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1218	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1219	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1220	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1221	C₂×C₂²⋊C₄	—	53	1	no	—
1222	C₂×C₂²⋊C₄	—	53	1	no	—
1223	C₂×C₂²⋊C₄	—	53	1	no	—
1224	C₂×C₂²⋊C₄	—	53	1	no	—
1225	C₂×C₂²⋊C₄	—	53	1	no	—
1226	C₂×C₂²⋊C₄	—	53	1	no	—
1227	C₂×C₂²⋊C₄	—	53	1	no	—
1228	C₂×C₂²⋊C₄	—	53	1	no	—
1229	C₂×C₂²⋊C₄	—	53	1	no	—
1230	C₂×C₂²⋊C₄	—	53	1	no	—
1231	C₂×C₂²⋊C₄	—	53	1	no	—
1232	C₂×C₂²⋊C₄	—	53	1	no	—
1233	C₂×C₂²⋊C₄	—	53	1	no	—
1234	C₂×C₂²⋊C₄	—	53	1	no	—
1235	C₂×C₂²⋊C₄	—	53	1	no	—
1236	C₂×C₂²⋊C₄	—	53	1	no	—
1237	C₂×C₂²⋊C₄	—	53	1	no	—
1238	C₂×C₂²⋊C₄	—	53	1	no	—
1239	C₂×C₂²⋊C₄	—	53	1	no	—
1240	C₂×C₂²⋊C₄	—	53	1	no	—
1241	C₂×C₂²⋊C₄	—	53	1	no	—
1242	C₂×C₂²⋊C₄	—	53	1	no	—
1243	C₂×C₂²⋊C₄	—	53	1	no	—
1244	C₂×C₂²⋊C₄	—	53	1	no	—
1245	C₂×C₂²⋊C₄	—	53	1	no	—
1246	C₂×C₂²⋊C₄	—	53	1	no	—
1247	C₂×C₂²⋊C₄	—	53	1	no	—
1248	C₂×C₂²⋊C₄	—	53	1	no	—
1249	C₂×C₂²⋊C₄	—	53	1	no	—
1250	C₂×C₂²⋊C₄	—	53	1	no	—
1251	C₂×C₂²⋊C₄	—	53	1	no	—
1252	C₂×C₂²⋊C₄	—	53	1	no	—
1253	C₂×C₂²⋊C₄	—	53	1	no	—
1254	C₂×C₂²⋊C₄	—	53	1	no	—
1255	C₂×C₂²⋊C₄	—	53	1	no	—
1256	C₂×C₂²⋊C₄	—	53	1	no	—
1257	C₂×C₂²⋊C₄	—	53	1	no	—
1258	C₂×C₂²⋊C₄	—	53	1	no	—
1259	C₂×C₂²⋊C₄	—	53	1	no	—
1260	C₂×C₂²⋊C₄	—	53	1	no	—
1261	C₂×C₂²⋊C₄	—	53	1	no	—
1262	C₂×C₂²⋊C₄	—	53	1	no	—
1263	C₂×C₂²⋊C₄	—	53	1	no	—
1264	C₂×C₂²⋊C₄	—	53	1	no	—
1265	C₂×C₂²⋊C₄	—	53	1	no	—
1266	C₂×C₂²⋊C₄	—	53	1	no	—
1267	C₂×C₂²⋊C₄	—	53	1	no	—
1268	C₂×C₂²⋊C₄	—	53	1	no	—
1269	C₂×C₂²⋊C₄	—	53	1	no	—
1270	C₂×C₂²⋊C₄	—	53	1	no	—
1271	C₂×C₂²⋊C₄	—	53	1	no	—
1272	C₂×C₂²⋊C₄	—	53	1	no	—
1273	C₂×C₂²⋊C₄	—	53	1	no	—
1274	C₂×C₂²⋊C₄	—	53	1	no	—
1275	C₂×C₂²⋊C₄	—	53	1	no	—
1276	C₂×C₂²⋊C₄	—	53	1	no	—
1277	C₂×C₂²⋊C₄	—	53	1	no	—
1278	C₂×C₂²⋊C₄	—	53	1	no	—
1279	C₂×C₂²⋊C₄	—	53	1	no	—
1280	C₂×C₂²⋊C₄	—	212	2	no	—
1281	C₂×C₂²⋊C₄	—	212	2	no	—
1282	C₂×C₂²⋊C₄	—	212	2	no	—
1283	C₂×C₂²⋊C₄	—	212	2	no	—
1284	C₂×C₂²⋊C₄	—	212	2	no	—
1285	C₂×C₂²⋊C₄	—	212	2	no	—
1286	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1287	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1288	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1289	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1290	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1292	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1293	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1294	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1295	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1296	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1297	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1298	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1299	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1300	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1301	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1302	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1303	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1304	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1305	C₂×C₄²	—	53	1	no	—
1306	C₂×C₄²	—	53	1	no	—
1307	C₂×C₄²	—	53	1	no	—
1308	C₂×C₄²	—	53	1	no	—
1309	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1310	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1311	#95	—	53	1	no	—
1312	#95	—	53	1	no	—
1313	#95	—	53	1	no	—
1314	#95	—	53	1	no	—
1315	#95	—	53	1	no	—
1316	#95	—	53	1	no	—
1317	#95	—	53	1	no	—
1318	#95	—	53	1	no	—
1319	#95	—	53	1	no	—
1320	#95	—	53	1	no	—
1321	#95	—	53	1	no	—
1322	#95	—	53	1	no	—
1323	#95	—	53	1	no	—
1324	#95	—	53	1	no	—
1325	#95	—	53	1	no	—
1326	#95	—	53	1	no	—
1327	#95	—	53	1	no	—
1328	#95	—	53	1	no	—
1329	#95	—	53	1	no	—
1330	#95	—	53	1	no	—
1331	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1332	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1333	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1334	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1335	C₂⁴	—	2	2	no	—
1336	C₂⁴	—	2	2	no	—
1337	C₂⁴	—	2	2	no	—
1338	C₂⁴	—	4	1	no	—
1339	C₂⁴	—	4	1	no	—
1340	C₂⁴	—	4	1	no	—
1341	C₂⁴	—	4	1	no	—
1342	C₂⁴	—	53	1	no	—
1343	C₂⁴	—	53	1	no	—
1344	C₂⁴	—	53	1	no	—
1345	C₂⁴	—	53	1	no	—
1346	C₂⁴	—	53	4	no	—
1347	C₂⁴	—	53	1	no	—
1348	C₂⁴	—	106	2	no	—
1349	C₂⁴	—	106	2	no	—
1350	C₂⁴	—	106	2	no	—
1351	C₂⁴	—	106	2	no	—
1352	C₂⁴	—	106	2	no	—
1353	C₂⁴	—	106	2	no	—
1354	C₂⁴	—	106	2	no	—
1355	C₂⁴	—	106	2	no	—
1356	C₂⁴	—	106	2	no	—
1357	C₂⁴	—	106	2	no	—
1358	C₂⁴	—	106	2	no	—
1359	C₂⁴	—	106	2	no	—
1360	C₂⁴	—	106	2	no	—
1361	C₂⁴	—	106	2	no	—
1362	C₂⁴	—	106	2	no	—
1363	C₂⁴	—	106	2	no	—
1364	C₂⁴	—	106	2	no	—
1365	C₂⁴	—	106	2	no	—
1366	C₂⁴	—	106	2	no	—
1367	C₂⁴	—	106	2	no	—
1368	C₂⁴	—	106	2	no	—
1369	C₂⁴	—	212	1	no	—
1370	C₂⁴	—	212	1	no	—
1371	C₂⁴	—	212	1	no	—
1372	C₂⁴	—	212	1	no	—
1373	C₂⁴	—	212	1	no	—
1374	C₂⁴	—	212	1	no	—
1375	C₂⁴	—	212	1	no	—
1376	C₂⁴	—	212	1	no	—
1377	C₂⁴	—	212	1	no	—
1378	C₂⁴	—	212	1	no	—
1379	C₂⁴	—	212	1	no	—
1380	C₂⁴	—	212	1	no	—
1381	C₂⁴	—	212	1	no	—
1382	C₂⁴	—	212	1	no	—
1383	C₂⁴	—	212	1	no	—
1384	C₂⁴	—	212	1	no	—
1385	C₂⁴	—	212	1	no	—
1386	C₂⁴	—	212	1	no	—
1387	C₂⁴	—	212	1	no	—
1388	C₂⁴	—	212	1	no	—
1389	C₂⁴	—	212	16	no	—
1390	C₂⁴	—	212	16	no	—
1391	C₂⁴	—	212	16	no	—
1392	C₂⁴	—	212	16	no	—
1393	C₂⁴	—	212	16	no	—
1394	C₂⁴	—	212	16	no	—
1395	C₂⁴	—	212	16	no	—
1396	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1397	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1398	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1399	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1400	C₂×Q₈	—	212	1	no	—
1401	C₂×Q₈	—	212	1	no	—
1402	C₂×Q₈	—	212	1	no	—
1403	C₂×D₄	—	2	2	no	—
1404	C₂×D₄	—	2	2	no	—
1405	C₂×D₄	—	2	2	no	—
1406	C₂×D₄	—	4	1	no	—
1407	C₂×D₄	—	4	1	no	—
1408	C₂×D₄	—	4	1	no	—
1409	C₂×D₄	—	4	1	no	—
1410	C₂×D₄	—	4	1	no	—
1411	C₂×D₄	—	4	1	no	—
1412	C₂×D₄	—	106	2	no	—
1413	C₂×D₄	—	106	2	no	—
1414	C₂×D₄	—	106	2	no	—
1415	C₂×D₄	—	106	2	no	—
1416	C₂×D₄	—	106	2	no	—
1417	C₂×D₄	—	106	2	no	—
1418	C₂×D₄	—	106	2	no	—
1419	C₂×D₄	—	106	2	no	—
1420	C₂×D₄	—	106	2	no	—
1421	C₂×D₄	—	106	2	no	—
1422	C₂×D₄	—	106	2	no	—
1423	C₂×D₄	—	106	2	no	—
1424	C₂×D₄	—	106	2	no	—
1425	C₂×D₄	—	106	2	no	—
1426	C₂×D₄	—	106	2	no	—
1427	C₂×D₄	—	212	1	no	—
1428	C₂×D₄	—	212	1	no	—
1429	C₂×D₄	—	212	1	no	—
1430	C₂×D₄	—	212	1	no	—
1431	C₂×D₄	—	212	1	no	—
1432	C₂×D₄	—	212	1	no	—
1433	C₂×D₄	—	212	1	no	—
1434	C₂×D₄	—	212	1	no	—
1435	C₂×D₄	—	212	1	no	—
1436	C₂×D₄	—	212	1	no	—
1437	C₂×D₄	—	212	1	no	—
1438	C₂×D₄	—	212	1	no	—
1439	C₂×D₄	—	212	1	no	—
1440	C₂×D₄	—	212	1	no	—
1441	C₂×D₄	—	212	1	no	—
1442	C₂×D₄	—	212	1	no	—
1443	C₂×D₄	—	212	1	no	—
1444	C₂×D₄	—	212	1	no	—
1445	C₂×D₄	—	212	1	no	—
1446	C₂×D₄	—	212	1	no	—
1447	C₂×D₄	—	212	1	no	—
1448	C₂²×C₄	—	53	1	no	—
1449	C₂²×C₄	—	53	1	no	—
1450	C₂²×C₄	—	53	1	no	—
1451	C₂²×C₄	—	53	1	no	—
1452	C₂²×C₄	—	53	1	no	—
1453	C₂²×C₄	—	53	1	no	—
1454	C₂²×C₄	—	53	1	no	—
1455	C₂²×C₄	—	53	1	no	—
1456	C₂²×C₄	—	53	1	no	—
1457	C₂²×C₄	—	53	1	no	—
1458	C₂²×C₄	—	53	1	no	—
1459	C₂²×C₄	—	106	2	no	—
1460	C₂²×C₄	—	106	2	no	—
1461	C₂²×C₄	—	106	2	no	—
1462	C₂²×C₄	—	106	2	no	—
1463	C₂²×C₄	—	212	1	no	—
1464	C₂²×C₄	—	212	1	no	—
1465	C₂²×C₄	—	212	1	no	—
1466	C₂²×C₄	—	212	1	no	—
1467	C₂²×C₄	—	212	1	no	—
1468	C₂²×C₄	—	212	1	no	—
1469	C₂²×C₄	—	212	1	no	—
1470	C₂²×C₄	—	212	1	no	—
1471	C₂²×C₄	—	212	1	no	—
1472	C₂²×C₄	—	212	1	no	—
1473	C₂²×C₄	—	212	1	no	—
1474	C₂²×C₄	—	212	1	no	—
1475	C₂²×C₄	—	212	1	no	—
1476	C₂²×C₄	—	212	1	no	—
1477	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1478	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1479	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1480	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1482	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1483	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1487	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1488	C₄⋊C₄	—	4	1	no	—
1489	C₄⋊C₄	—	4	1	no	—
1490	C₄⋊C₄	—	4	1	no	—
1491	C₄⋊C₄	—	4	1	no	—
1492	C₄⋊C₄	—	4	1	no	—
1493	C₄⋊C₄	—	4	1	no	—
1494	C₄⋊C₄	—	212	1	no	—
1495	C₄⋊C₄	—	212	1	no	—
1496	C₄⋊C₄	—	212	1	no	—
1497	C₄⋊C₄	—	212	1	no	—
1498	C₄⋊C₄	—	212	1	no	—
1499	C₄⋊C₄	—	212	1	no	—
1500	C₄⋊C₄	—	212	1	no	—
1501	C₄⋊C₄	—	212	1	no	—
1502	C₄⋊C₄	—	212	1	no	—
1503	C₄⋊C₄	—	212	1	no	—
1504	C₄⋊C₄	—	212	1	no	—
1505	C₄⋊C₄	—	212	1	no	—
1506	C₂²⋊C₄	—	2	2	no	—
1507	C₂²⋊C₄	—	2	2	no	—
1508	C₂²⋊C₄	—	2	2	no	—
1509	C₂²⋊C₄	—	2	2	no	—
1510	C₂²⋊C₄	—	2	2	no	—
1511	C₂²⋊C₄	—	4	1	no	—
1512	C₂²⋊C₄	—	4	1	no	—
1513	C₂²⋊C₄	—	4	1	no	—
1514	C₂²⋊C₄	—	4	1	no	—
1515	C₂²⋊C₄	—	4	1	no	—
1516	C₂²⋊C₄	—	4	1	no	—
1517	C₂²⋊C₄	—	4	1	no	—
1518	C₂²⋊C₄	—	4	1	no	—
1519	C₂²⋊C₄	—	4	1	no	—
1520	C₂²⋊C₄	—	4	1	no	—
1521	C₂²⋊C₄	—	4	1	no	—
1522	C₂²⋊C₄	—	4	1	no	—
1523	C₂²⋊C₄	—	4	1	no	—
1524	C₂²⋊C₄	—	4	1	no	—
1525	C₂²⋊C₄	—	106	2	no	—
1526	C₂²⋊C₄	—	106	2	no	—
1527	C₂²⋊C₄	—	106	2	no	—
1528	C₂²⋊C₄	—	106	2	no	—
1529	C₂²⋊C₄	—	106	2	no	—
1530	C₂²⋊C₄	—	106	2	no	—
1531	C₂²⋊C₄	—	106	2	no	—
1532	C₂²⋊C₄	—	106	2	no	—
1533	C₂²⋊C₄	—	106	2	no	—
1534	C₂²⋊C₄	—	106	2	no	—
1535	C₂²⋊C₄	—	106	2	no	—
1536	C₂²⋊C₄	—	106	2	no	—
1537	C₂²⋊C₄	—	106	2	no	—
1538	C₂²⋊C₄	—	106	2	no	—
1539	C₂²⋊C₄	—	106	2	no	—
1540	C₂²⋊C₄	—	106	2	no	—
1541	C₂²⋊C₄	—	106	2	no	—
1542	C₂²⋊C₄	—	106	2	no	—
1543	C₂²⋊C₄	—	106	2	no	—
1544	C₂²⋊C₄	—	106	2	no	—
1545	C₂²⋊C₄	—	106	2	no	—
1546	C₂²⋊C₄	—	212	1	no	—
1547	C₂²⋊C₄	—	212	1	no	—
1548	C₂²⋊C₄	—	212	1	no	—
1549	C₂²⋊C₄	—	212	1	no	—
1550	C₂²⋊C₄	—	212	1	no	—
1551	C₂²⋊C₄	—	212	1	no	—
1552	C₂²⋊C₄	—	212	1	no	—
1553	C₂²⋊C₄	—	212	1	no	—
1554	C₂²⋊C₄	—	212	1	no	—
1555	C₂²⋊C₄	—	212	1	no	—
1556	C₂²⋊C₄	—	212	1	no	—
1557	C₂²⋊C₄	—	212	1	no	—
1558	C₂²⋊C₄	—	212	1	no	—
1559	C₂²⋊C₄	—	212	1	no	—
1560	C₂²⋊C₄	—	212	1	no	—
1561	C₂²⋊C₄	—	212	1	no	—
1562	C₂²⋊C₄	—	212	1	no	—
1563	C₂²⋊C₄	—	212	1	no	—
1564	C₂²⋊C₄	—	212	1	no	—
1565	C₂²⋊C₄	—	212	1	no	—
1566	C₂²⋊C₄	—	212	1	no	—
1567	C₂²⋊C₄	—	212	1	no	—
1568	C₂²⋊C₄	—	212	1	no	—
1569	C₂²⋊C₄	—	212	1	no	—
1570	C₂²⋊C₄	—	212	1	no	—
1571	C₂²⋊C₄	—	212	1	no	—
1572	C₂²⋊C₄	—	212	1	no	—
1573	C₂²⋊C₄	—	212	1	no	—
1574	C₂²⋊C₄	—	212	1	no	—
1575	C₂²⋊C₄	—	212	1	no	—
1576	C₂²⋊C₄	—	212	1	no	—
1577	C₂²⋊C₄	—	212	1	no	—
1578	C₂²⋊C₄	—	212	1	no	—
1579	C₂²⋊C₄	—	212	1	no	—
1580	C₂²⋊C₄	—	212	1	no	—
1581	C₂²⋊C₄	—	212	1	no	—
1582	C₂²⋊C₄	—	212	1	no	—
1583	C₂²⋊C₄	—	212	1	no	—
1584	C₄²	—	4	1	no	—
1585	C₄²	—	4	1	no	—
1586	C₄²	—	212	1	no	—
1587	C₄²	—	212	1	no	—
1588	C₄²	—	212	1	no	—
1589	C₄²	—	212	1	no	—
1590	C₂³	—	2	1	no	—
1591	C₂³	—	2	1	no	—
1592	C₂³	—	2	1	no	—
1593	C₂³	—	2	1	no	—
1594	C₂³	—	2	1	no	—
1595	C₂³	—	2	1	no	—
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	2	1	no	—
1605	C₂³	—	2	1	no	—
1606	C₂³	—	2	1	no	—
1607	C₂³	—	2	1	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	2	1	no	—
1611	C₂³	—	2	1	no	—
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	4	4	no	—
1616	C₂³	—	4	4	no	—
1617	C₂³	—	4	4	no	—
1618	C₂³	—	4	4	no	—
1619	C₂³	—	4	4	no	—
1620	C₂³	—	4	4	no	—
1621	C₂³	—	4	4	no	—
1622	C₂³	—	53	2	no	—
1623	C₂³	—	53	2	no	—
1624	C₂³	—	53	2	no	—
1625	C₂³	—	53	2	no	—
1626	C₂³	—	53	2	no	—
1627	C₂³	—	53	2	no	—
1628	C₂³	—	106	8	no	—
1629	C₂³	—	106	8	no	—
1630	C₂³	—	106	8	no	—
1631	C₂³	—	106	1	no	—
1632	C₂³	—	106	1	no	—
1633	C₂³	—	106	1	no	—
1634	C₂³	—	106	1	no	—
1635	C₂³	—	106	1	no	—
1636	C₂³	—	106	1	no	—
1637	C₂³	—	106	1	no	—
1638	C₂³	—	106	1	no	—
1639	C₂³	—	106	1	no	—
1640	C₂³	—	106	1	no	—
1641	C₂³	—	106	1	no	—
1642	C₂³	—	106	1	no	—
1643	C₂³	—	106	1	no	—
1644	C₂³	—	106	1	no	—
1645	C₂³	—	106	1	no	—
1646	C₂³	—	106	1	no	—
1647	C₂³	—	106	1	no	—
1648	C₂³	—	106	1	no	—
1649	C₂³	—	106	1	no	—
1650	C₂³	—	106	1	no	—
1651	C₂³	—	106	1	no	—
1652	C₂³	—	106	1	no	—
1653	C₂³	—	106	1	no	—
1654	C₂³	—	106	1	no	—
1655	C₂³	—	106	1	no	—
1656	C₂³	—	106	1	no	—
1657	C₂³	—	106	1	no	—
1658	C₂³	—	106	1	no	—
1659	C₂³	—	106	1	no	—
1660	C₂³	—	212	4	no	—
1661	C₂³	—	212	4	no	—
1662	C₂³	—	212	4	no	—
1663	C₂³	—	212	4	no	—
1664	C₂³	—	212	4	no	—
1665	C₂³	—	212	4	no	—
1666	C₂³	—	212	4	no	—
1667	C₂³	—	212	4	no	—
1668	C₂³	—	212	4	no	—
1669	C₂³	—	212	4	no	—
1670	C₂³	—	212	4	no	—
1671	C₂³	—	212	4	no	—
1672	C₂³	—	212	4	no	—
1673	C₂³	—	212	4	no	—
1674	C₂³	—	212	4	no	—
1675	C₂³	—	212	4	no	—
1676	C₂³	—	212	4	no	—
1677	C₂³	—	212	4	no	—
1678	C₂³	—	212	4	no	—
1679	C₂³	—	212	4	no	—
1680	C₂³	—	212	4	no	—
1681	C₂³	—	212	4	no	—
1682	C₂³	—	212	4	no	—
1683	C₂³	—	212	4	no	—
1684	C₂³	—	212	4	no	—
1685	C₂³	—	212	4	no	—
1686	C₂³	—	212	4	no	—
1687	C₂³	—	212	4	no	—
1688	C₂³	—	212	4	no	—
1689	C₂³	—	212	4	no	—
1690	C₂³	—	212	4	no	—
1691	C₂³	—	212	4	no	—
1692	C₂³	—	212	4	no	—
1693	C₂³	—	212	4	no	—
1694	C₂³	—	212	4	no	—
1695	C₂³	—	212	4	no	—
1696	C₂³	—	212	128	no	—
1697	C₂³	—	212	4	no	—
1698	C₂³	—	212	4	no	—
1699	C₂³	—	212	4	no	—
1700	C₂³	#41×D₅₃	1	2	yes	—
1701	C₂³	#13133262	1	2	yes	—
1702	C₂³	#13133263	1	2	yes	—
1703	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1704	Q₈	—	424	2	no	—
1705	D₄	—	8	2	no	—
1706	D₄	—	8	2	no	—
1707	D₄	—	8	2	no	—
1708	D₄	—	424	2	no	—
1709	D₄	—	424	2	no	—
1710	D₄	—	424	2	no	—
1711	D₄	—	424	2	no	—
1712	D₄	—	424	2	no	—
1713	D₄	—	424	2	no	—
1714	D₄	—	424	2	no	—
1715	D₄	—	424	2	no	—
1716	D₄	—	424	2	no	—
1717	D₄	—	424	2	no	—
1718	D₄	—	212	4	no	—
1719	D₄	—	212	4	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	106	1	no	—
1754	C₂×C₄	—	106	1	no	—
1755	C₂×C₄	—	106	1	no	—
1756	C₂×C₄	—	106	1	no	—
1757	C₂×C₄	—	106	1	no	—
1758	C₂×C₄	—	106	1	no	—
1759	C₂×C₄	—	106	1	no	—
1760	C₂×C₄	—	106	1	no	—
1761	C₂×C₄	—	106	1	no	—
1762	C₂×C₄	—	106	1	no	—
1763	C₂×C₄	—	106	1	no	—
1764	C₂×C₄	—	106	1	no	—
1765	C₂×C₄	—	106	1	no	—
1766	C₂×C₄	—	106	1	no	—
1767	C₂×C₄	—	106	1	no	—
1768	C₂×C₄	—	106	1	no	—
1769	C₂×C₄	—	106	1	no	—
1770	C₂×C₄	—	106	1	no	—
1771	C₂×C₄	—	106	1	no	—
1772	C₂×C₄	—	106	1	no	—
1773	C₂×C₄	—	106	1	no	—
1774	C₂×C₄	—	106	1	no	—
1775	C₂×C₄	—	106	1	no	—
1776	C₂×C₄	—	106	1	no	—
1777	C₂×C₄	—	106	1	no	—
1778	C₂×C₄	—	106	1	no	—
1779	C₂×C₄	—	106	1	no	—
1780	C₂×C₄	—	106	1	no	—
1781	C₂×C₄	—	106	1	no	—
1782	C₂×C₄	—	106	1	no	—
1783	C₂×C₄	—	106	1	no	—
1784	C₂×C₄	—	106	1	no	—
1785	C₂×C₄	—	106	1	no	—
1786	C₂×C₄	—	424	2	no	—
1787	C₂×C₄	—	424	2	no	—
1788	C₂×C₄	—	424	2	no	—
1789	C₂×C₄	—	424	2	no	—
1790	C₂×C₄	—	424	2	no	—
1791	C₂×C₄	—	424	2	no	—
1792	C₂²	—	2	2	no	—
1793	C₂²	—	2	2	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	2	no	—
1796	C₂²	—	2	2	no	—
1797	C₂²	—	2	2	no	—
1798	C₂²	—	2	2	no	—
1799	C₂²	—	2	2	no	—
1800	C₂²	—	2	2	no	—
1801	C₂²	—	4	16	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	53	4	no	—
1822	C₂²	—	106	2	no	—
1823	C₂²	—	106	2	no	—
1824	C₂²	—	106	2	no	—
1825	C₂²	—	106	2	no	—
1826	C₂²	—	106	2	no	—
1827	C₂²	—	106	2	no	—
1828	C₂²	—	106	2	no	—
1829	C₂²	—	106	2	no	—
1830	C₂²	—	106	2	no	—
1831	C₂²	—	106	2	no	—
1832	C₂²	—	106	2	no	—
1833	C₂²	—	106	2	no	—
1834	C₂²	—	106	2	no	—
1835	C₂²	—	106	2	no	—
1836	C₂²	—	106	2	no	—
1837	C₂²	—	212	16	no	—
1838	C₂²	—	212	16	no	—
1839	C₂²	—	212	16	no	—
1840	C₂²	—	212	16	no	—
1841	C₂²	—	212	16	no	—
1842	C₂²	—	212	16	no	—
1843	C₂²	—	212	1	no	—
1844	C₂²	—	212	1	no	—
1845	C₂²	—	212	1	no	—
1846	C₂²	—	212	1	no	—
1847	C₂²	—	212	1	no	—
1848	C₂²	—	212	1	no	—
1849	C₂²	—	212	1	no	—
1850	C₂²	—	212	1	no	—
1851	C₂²	—	212	1	no	—
1852	C₂²	—	212	1	no	—
1853	C₂²	—	212	1	no	—
1854	C₂²	—	212	1	no	—
1855	C₂²	—	212	1	no	—
1856	C₂²	—	212	1	no	—
1857	C₂²	—	212	1	no	—
1858	C₂²	—	212	1	no	—
1859	C₂²	—	212	1	no	—
1860	C₂²	—	212	1	no	—
1861	C₂²	—	212	1	no	—
1862	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1863	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1864	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1865	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1866	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1867	C₂²	C₂×#13133262	1	1	yes	characteristic
1868	C₂²	C₂×#13133263	1	1	yes	characteristic
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	4	1	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	212	1	no	—
1881	C₄	—	212	1	no	—
1882	C₄	—	212	1	no	—
1883	C₄	—	212	1	no	—
1884	C₄	—	212	1	no	—
1885	C₄	—	212	1	no	—
1886	C₄	—	212	1	no	—
1887	C₄	—	212	1	no	—
1888	C₄	—	212	1	no	—
1889	C₄	—	212	1	no	—
1890	C₄	—	212	1	no	—
1891	C₂	—	4	2	no	—
1892	C₂	—	4	2	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	8	1	no	—
1895	C₂	—	106	4	no	—
1896	C₂	—	424	1	no	—
1897	C₂	—	212	2	no	—
1898	C₂	—	212	2	no	—
1899	C₂	—	212	2	no	—
1900	C₂	#538×D₅₃	1	1	yes	characteristic
1901	C₂	#20288397	1	1	yes	characteristic
1902	C₂	#20288399	1	1	yes	characteristic
1903	C₂	#20288864	1	1	yes	characteristic
1904	C₂	#20288866	1	1	yes	characteristic
1905	C₂	#20288868	1	1	yes	characteristic
1906	C₂	#20288869	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator, socle, cosocle	C₂³×C₅₃	C₂⁵
Fitting	C₅₃×#2685	C₂
hypercenter	#2685	D₅₃
hypocenter	C₅₃	#36725
LCS	G ▷ C₂³×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2685

Complements

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

N	H ≅ G/N	type
1. #20282993	C₂	semidirect
2. #20282991	C₂	semidirect
3. #20281761	C₂	semidirect
4. #20281757	C₂	semidirect
5. #20281753	C₂	semidirect
6. #20281753	C₂	semidirect
7. #20281281	C₂	semidirect
8. #20281273	C₂	semidirect
9. #20281112	C₂	semidirect
10. #20281106	C₂	semidirect
11. #20281100	C₂	semidirect
12. #20281096	C₂	semidirect
13. #20281090	C₂	semidirect
14. #20281047	C₂	semidirect
15. #20281035	C₂	semidirect
16. #20280938	C₂	semidirect
17. #20280919	C₂	semidirect
18. #20280525	C₂	semidirect
19. #20280454	C₂	semidirect
20. #20278959	C₂	semidirect
21. #20278957	C₂	semidirect
22. #20278847	C₂	semidirect
23. #20278845	C₂	semidirect
24. #20278252	C₂	semidirect
25. #20278244	C₂	semidirect
26. #20278180	C₂	semidirect
27. #20278172	C₂	semidirect
28. #20277374	C₂	semidirect
29. #20277368	C₂	semidirect
30. #379×D₅₃	C₂	semidirect
31. C₅₃×#2685	C₂	semidirect
33. C₂×#13133210	C₂²	semidirect
34. C₂×#13133205	C₂²	semidirect
35. C₂×#13133203	C₂²	semidirect
36. C₂×#13133202	C₂²	semidirect
37. C₂×#13133201	C₂²	semidirect
38. C₂×#13133195	C₂²	semidirect
39. C₂×#13133190	C₂²	semidirect
40. C₂×#13133189	C₂²	semidirect
41. C₂×#13133188	C₂²	semidirect
55. C₂×#13133179	C₂²	semidirect
56. C₂×#13133177	C₂²	semidirect
63. #16810559	C₂²	semidirect
64. #16810559	C₂²	semidirect
65. #16810558	C₂²	semidirect
66. #16810552	C₂²	semidirect
67. #16810552	C₂²	semidirect
68. #16810552	C₂²	semidirect
69. #16810551	C₂²	semidirect
70. #16810551	C₂²	semidirect
71. #16810551	C₂²	semidirect
72. #16810550	C₂²	semidirect
73. #16810549	C₂²	semidirect
74. #16810549	C₂²	semidirect
75. #16810549	C₂²	semidirect
76. #16810548	C₂²	semidirect
77. #16810548	C₂²	semidirect
78. #16810547	C₂²	semidirect
79. #16810546	C₂²	semidirect
80. #16810545	C₂²	semidirect
81. #16810545	C₂²	semidirect
82. #16810545	C₂²	semidirect
83. #16810545	C₂²	semidirect
84. #16810545	C₂²	semidirect
85. #16810540	C₂²	semidirect
86. #16810540	C₂²	semidirect
87. #16810540	C₂²	semidirect
88. #16810539	C₂²	semidirect
89. #16810539	C₂²	semidirect
90. #16810539	C₂²	semidirect
91. #16810538	C₂²	semidirect
92. #16810538	C₂²	semidirect
93. #16810538	C₂²	semidirect
94. #16810538	C₂²	semidirect
95. #16810538	C₂²	semidirect
96. #16810537	C₂²	semidirect
97. #16810536	C₂²	semidirect
98. #16810535	C₂²	semidirect
99. #16810535	C₂²	semidirect
100. #16810535	C₂²	semidirect
101. #16810532	C₂²	semidirect
102. #16810532	C₂²	semidirect
103. #16810532	C₂²	semidirect
104. #16810531	C₂²	semidirect
105. #16810525	C₂²	semidirect
106. #16810524	C₂²	semidirect
107. #16810523	C₂²	semidirect
108. #16810523	C₂²	semidirect
109. #16810523	C₂²	semidirect
110. #16810523	C₂²	semidirect
111. #16810517	C₂²	semidirect
112. #16810517	C₂²	semidirect
113. #16810517	C₂²	semidirect
114. #16810516	C₂²	semidirect
115. #16810516	C₂²	semidirect
116. #16810516	C₂²	semidirect
117. #16810515	C₂²	semidirect
118. #16810515	C₂²	semidirect
119. #16810514	C₂²	semidirect
120. #16810514	C₂²	semidirect
121. #16810514	C₂²	semidirect
122. #16810514	C₂²	semidirect
123. #16810513	C₂²	semidirect
124. #16810513	C₂²	semidirect
125. #16810513	C₂²	semidirect
126. #16810513	C₂²	semidirect
127. #16810512	C₂²	semidirect
128. #16810512	C₂²	semidirect
129. #16810511	C₂²	semidirect
130. #16810511	C₂²	semidirect
131. #16810511	C₂²	semidirect
132. #16810503	C₂²	semidirect
133. #16810503	C₂²	semidirect
134. #16810501	C₂²	semidirect
135. #16810501	C₂²	semidirect
136. #16810501	C₂²	semidirect
137. #16810501	C₂²	semidirect
138. #16810500	C₂²	semidirect
139. #16810500	C₂²	semidirect
140. #16810499	C₂²	semidirect
141. #16810499	C₂²	semidirect
142. #16810499	C₂²	semidirect
143. #16810499	C₂²	semidirect
144. #16810497	C₂²	semidirect
145. #16810497	C₂²	semidirect
146. #16810494	C₂²	semidirect
147. #16810494	C₂²	semidirect
148. #16810480	C₂²	semidirect
149. #16810480	C₂²	semidirect
170. C₄×#11719921	C₂²	semidirect
171. C₄×#11719921	C₂²	semidirect
172. C₂×#126×C₅₃	C₂²	semidirect
174. C₅₃×#399	C₂²	semidirect
175. C₅₃×#396	C₂²	semidirect
176. C₅₃×#394	C₂²	semidirect
177. C₅₃×#394	C₂²	semidirect
178. C₅₃×#394	C₂²	semidirect
179. C₅₃×#394	C₂²	semidirect
180. C₅₃×#390	C₂²	semidirect
181. C₅₃×#390	C₂²	semidirect
182. C₅₃×#388	C₂²	semidirect
183. C₅₃×#388	C₂²	semidirect
184. C₅₃×#388	C₂²	semidirect
200. C₂²×Dic₁₀₆	C₂³	semidirect
212. C₂²×C₂²⋊D₅₃	C₂³	semidirect
213. C₂³×Dic₅₃	C₂³	semidirect
218. C₂²×C₄×D₅₃	C₂³	semidirect
243. C₂×C₄⋊Dic₅₃	C₂³	semidirect
244. C₂×C₄⋊Dic₅₃	C₂³	semidirect
245. C₂×C₄⋊Dic₅₃	C₂³	semidirect
246. C₂×C₄⋊Dic₅₃	C₂³	semidirect
247. C₂×#11719919	C₂³	semidirect
248. C₂×#11719919	C₂³	semidirect
249. C₂×#11719919	C₂³	semidirect
250. C₂×#11719919	C₂³	semidirect
251. C₂×#11719919	C₂³	semidirect
252. C₂×#11719919	C₂³	semidirect
253. C₂×#11719919	C₂³	semidirect
254. C₂×#11719919	C₂³	semidirect
270. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
271. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
308. C₂×#11719921	C₂³	semidirect
309. C₂×#11719921	C₂³	semidirect
310. C₂×#11719921	C₂³	semidirect
311. C₂×#11719921	C₂³	semidirect
312. C₂×#11719921	C₂³	semidirect
313. C₂×#11719921	C₂³	semidirect
320. C₂×C₄×Dic₅₃	C₂³	semidirect
321. C₂×C₄×Dic₅₃	C₂³	semidirect
322. C₂×C₄×Dic₅₃	C₂³	semidirect
323. C₂×C₄×Dic₅₃	C₂³	semidirect
324. #13133124	C₂³	semidirect
325. #13133124	C₂³	semidirect
326. #13133124	C₂³	semidirect
327. #13133124	C₂³	semidirect
328. #13133124	C₂³	semidirect
329. #13133124	C₂³	semidirect
330. #13133124	C₂³	semidirect
331. #13133124	C₂³	semidirect
332. #13133124	C₂³	semidirect
333. #13133124	C₂³	semidirect
334. #13133124	C₂³	semidirect
335. #13133124	C₂³	semidirect
336. #13133124	C₂³	semidirect
337. #13133124	C₂³	semidirect
338. #13133124	C₂³	semidirect
339. #13133124	C₂³	semidirect
340. #13133124	C₂³	semidirect
341. #13133124	C₂³	semidirect
342. #13133124	C₂³	semidirect
343. #13133124	C₂³	semidirect
350. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
351. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
352. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
353. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
354. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
355. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
371. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
372. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
373. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
374. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
375. C₂×C₄²×C₅₃	C₂³	semidirect
376. C₂×C₄²×C₅₃	C₂³	semidirect
377. #95×C₅₃	C₂³	semidirect
378. #95×C₅₃	C₂³	semidirect
379. #95×C₅₃	C₂³	semidirect
380. #95×C₅₃	C₂³	semidirect
949. #2685	D₅₃	semidirect
987. C₂×#126	C₂×D₅₃	semidirect
1021. #399	C₂×D₅₃	semidirect
1041. #396	C₂×D₅₃	semidirect
1054. #394	C₂×D₅₃	semidirect
1055. #394	C₂×D₅₃	semidirect
1056. #394	C₂×D₅₃	semidirect
1057. #394	C₂×D₅₃	semidirect
1072. #390	C₂×D₅₃	semidirect
1073. #390	C₂×D₅₃	semidirect
1095. #388	C₂×D₅₃	semidirect
1096. #388	C₂×D₅₃	semidirect
1097. #388	C₂×D₅₃	semidirect
1140. C₅₃	#36725	semidirect
1215. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1216. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1217. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1218. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1219. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1220. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1301. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1302. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1303. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1304. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1309. C₂×C₄²	C₂²×D₅₃	semidirect
1310. C₂×C₄²	C₂²×D₅₃	semidirect
1331. #95	C₂²×D₅₃	semidirect
1332. #95	C₂²×D₅₃	semidirect
1333. #95	C₂²×D₅₃	semidirect
1334. #95	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20282993	2
#20282991	2
#20281761	2
#20281757	2
#20281753	2
#20281281	2
#20281273	2
#20281112	2
#20281106	2
#20281100	2
#20281096	2
#20281090	2
#20281047	2
#20281035	2
#20280938	2
#20280919	2
#20280525	2
#20280454	2
#20278959	2
#20278957	2
#20278847	2
#20278845	2
#20278252	2
#20278244	2
#20278180	2
#20278172	2
#20277374	2
#20277368	2
#379×D₅₃	2
C₅₃×#2685	2
#36725	53