Subgroups — D₅₃×#2649 #27550595

Order 13568.

2330 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20280725	C₂	1	1	yes	maximal, characteristic, complemented
2	#20280724	C₂	1	1	yes	maximal, characteristic, complemented
3	#20280723	C₂	1	1	yes	maximal, characteristic, complemented
4	#20280722	C₂	1	1	yes	maximal, characteristic, complemented
5	#20280721	C₂	1	1	yes	maximal, characteristic, complemented
6	#20280720	C₂	1	1	yes	maximal, characteristic, complemented
7	#20280719	C₂	1	1	yes	maximal, characteristic, complemented
8	#20280718	C₂	1	1	yes	maximal, characteristic, complemented
9	#20280717	C₂	1	1	yes	maximal, characteristic, complemented
10	#20280716	C₂	1	1	yes	maximal, characteristic, complemented
11	#20280715	C₂	1	1	yes	maximal, characteristic, complemented
12	#20280714	C₂	1	1	yes	maximal, characteristic, complemented
13	#20280713	C₂	1	1	yes	maximal, characteristic, complemented
14	#20280712	C₂	1	1	yes	maximal, characteristic, complemented
15	#20280711	C₂	1	1	yes	maximal, characteristic, complemented
16	#400×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#400×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#399×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#397×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#397×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#396×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#394×D₅₃	C₂	1	1	yes	maximal, characteristic
23	#394×D₅₃	C₂	1	1	yes	maximal, characteristic
24	#389×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#388×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#388×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#387×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#386×D₅₃	C₂	1	1	yes	maximal, characteristic
29	#385×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2649	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
34	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
37	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
38	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
53	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
54	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
55	#16810565	C₂²	1	1	yes	characteristic, complemented
56	#16810565	C₂²	1	1	yes	characteristic, complemented
57	#16810565	C₂²	1	1	yes	characteristic, complemented
58	#16810565	C₂²	1	1	yes	characteristic, complemented
59	#16810564	C₂²	1	1	yes	characteristic, complemented
60	#16810564	C₂²	1	1	yes	characteristic, complemented
61	#16810564	C₂²	1	1	yes	characteristic, complemented
62	#16810564	C₂²	1	1	yes	characteristic, complemented
63	#16810563	C₂²	1	1	yes	characteristic, complemented
64	#16810563	C₂²	1	1	yes	characteristic, complemented
65	#16810562	C₂²	1	1	yes	characteristic, complemented
66	#16810562	C₂²	1	1	yes	characteristic, complemented
67	#16810561	C₂²	1	1	yes	characteristic, complemented
68	#16810561	C₂²	1	1	yes	characteristic, complemented
69	#16810560	C₂²	1	1	yes	characteristic, complemented
70	#16810559	C₂²	1	1	yes	characteristic, complemented
71	#16810559	C₂²	1	1	yes	characteristic, complemented
72	#16810559	C₂²	1	1	yes	characteristic, complemented
73	#16810558	C₂²	1	1	yes	characteristic, complemented
74	#16810558	C₂²	1	1	yes	characteristic, complemented
75	#16810558	C₂²	1	1	yes	characteristic, complemented
76	#16810552	C₂²	1	1	yes	characteristic, complemented
77	#16810552	C₂²	1	1	yes	characteristic, complemented
78	#16810552	C₂²	1	1	yes	characteristic, complemented
79	#16810552	C₂²	1	1	yes	characteristic, complemented
80	#16810551	C₂²	1	1	yes	characteristic, complemented
81	#16810551	C₂²	1	1	yes	characteristic, complemented
82	#16810551	C₂²	1	1	yes	characteristic, complemented
83	#16810551	C₂²	1	1	yes	characteristic, complemented
84	#16810550	C₂²	1	1	yes	characteristic, complemented
85	#16810550	C₂²	1	1	yes	characteristic, complemented
86	#16810549	C₂²	1	1	yes	characteristic, complemented
87	#16810549	C₂²	1	1	yes	characteristic, complemented
88	#16810548	C₂²	1	1	yes	characteristic, complemented
89	#16810548	C₂²	1	1	yes	characteristic, complemented
90	#16810547	C₂²	1	1	yes	characteristic, complemented
91	#16810546	C₂²	1	1	yes	characteristic, complemented
92	#16810546	C₂²	1	1	yes	characteristic, complemented
93	#16810546	C₂²	1	1	yes	characteristic, complemented
94	#16810545	C₂²	1	1	yes	characteristic, complemented
95	#16810545	C₂²	1	1	yes	characteristic, complemented
96	#16810545	C₂²	1	1	yes	characteristic, complemented
97	#16810541	C₂²	1	1	yes	characteristic
98	#16810541	C₂²	1	1	yes	characteristic
99	#16810540	C₂²	1	1	yes	characteristic
100	#16810540	C₂²	1	1	yes	characteristic
101	#16810539	C₂²	1	1	yes	characteristic
102	#16810539	C₂²	1	1	yes	characteristic
103	#16810539	C₂²	1	1	yes	characteristic
104	#16810539	C₂²	1	1	yes	characteristic
105	#16810538	C₂²	1	1	yes	characteristic
106	#16810538	C₂²	1	1	yes	characteristic
107	#16810538	C₂²	1	1	yes	characteristic
108	#16810538	C₂²	1	1	yes	characteristic
109	#16810537	C₂²	1	1	yes	characteristic
110	#16810537	C₂²	1	1	yes	characteristic
111	#16810522	C₂²	1	1	yes	characteristic, complemented
112	#16810521	C₂²	1	1	yes	characteristic, complemented
113	#16810520	C₂²	1	1	yes	characteristic, complemented
114	#16810520	C₂²	1	1	yes	characteristic, complemented
115	#16810519	C₂²	1	1	yes	characteristic, complemented
116	#16810518	C₂²	1	1	yes	characteristic, complemented
117	#16810518	C₂²	1	1	yes	characteristic, complemented
118	#16810517	C₂²	1	1	yes	characteristic, complemented
119	#16810517	C₂²	1	1	yes	characteristic, complemented
120	#16810516	C₂²	1	1	yes	characteristic, complemented
121	#16810516	C₂²	1	1	yes	characteristic, complemented
122	#16810515	C₂²	1	1	yes	characteristic, complemented
123	#16810515	C₂²	1	1	yes	characteristic, complemented
124	#16810514	C₂²	1	1	yes	characteristic, complemented
125	#16810514	C₂²	1	1	yes	characteristic, complemented
126	#16810513	C₂²	1	1	yes	characteristic, complemented
127	#16810513	C₂²	1	1	yes	characteristic, complemented
128	#16810512	C₂²	1	1	yes	characteristic, complemented
129	#16810512	C₂²	1	1	yes	characteristic, complemented
130	#16810511	C₂²	1	1	yes	characteristic, complemented
131	#16810511	C₂²	1	1	yes	characteristic, complemented
132	#16810510	C₂²	1	1	yes	characteristic, complemented
133	#16810509	C₂²	1	1	yes	characteristic, complemented
134	#16810508	C₂²	1	1	yes	characteristic, complemented
135	#16810507	C₂²	1	1	yes	characteristic, complemented
136	#16810506	C₂²	1	1	yes	characteristic, complemented
137	#16810505	C₂²	1	1	yes	characteristic, complemented
138	#16810504	C₂²	1	1	yes	characteristic, complemented
139	#16810503	C₂²	1	1	yes	characteristic
140	#16810502	C₂²	1	1	yes	characteristic
141	#16810501	C₂²	1	1	yes	characteristic
142	#16810501	C₂²	1	1	yes	characteristic
143	#16810500	C₂²	1	1	yes	characteristic
144	#16810499	C₂²	1	1	yes	characteristic
145	#16810499	C₂²	1	1	yes	characteristic
146	#16810498	C₂²	1	1	yes	characteristic, complemented
147	#16810497	C₂²	1	1	yes	characteristic, complemented
148	#16810497	C₂²	1	1	yes	characteristic, complemented
149	#16810496	C₂²	1	1	yes	characteristic, complemented
150	#16810495	C₂²	1	1	yes	characteristic, complemented
151	#16810494	C₂²	1	1	yes	characteristic, complemented
152	#16810494	C₂²	1	1	yes	characteristic, complemented
153	C₂²⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
154	C₂²⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
158	#16810470	C₂²	1	1	yes	characteristic, complemented
159	#16810470	C₂²	1	1	yes	characteristic, complemented
160	#95×D₅₃	C₂²	1	1	yes	characteristic
161	#95×D₅₃	C₂²	1	1	yes	characteristic
162	#95×D₅₃	C₂²	1	1	yes	characteristic
163	#95×D₅₃	C₂²	1	1	yes	characteristic
164	#95×D₅₃	C₂²	1	1	yes	characteristic
165	#95×D₅₃	C₂²	1	1	yes	characteristic
166	#95×D₅₃	C₂²	1	1	yes	characteristic
167	#95×D₅₃	C₂²	1	1	yes	characteristic
168	#95×D₅₃	C₂²	1	1	yes	characteristic
169	#95×D₅₃	C₂²	1	1	yes	characteristic
170	#95×D₅₃	C₂²	1	1	yes	characteristic
171	#95×D₅₃	C₂²	1	1	yes	characteristic
172	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#394	C₂²	1	1	yes	characteristic
179	C₅₃×#394	C₂²	1	1	yes	characteristic
180	C₅₃×#389	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#386	C₂²	1	1	yes	characteristic
185	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
188	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
189	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
192	C₂×D₄×D₅₃	—	2	4	no	—
193	C₂×D₄×D₅₃	—	4	2	no	—
194	C₂×D₄×D₅₃	—	4	2	no	—
195	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅₃	—	2	4	no	—
197	C₂²×C₄×D₅₃	—	4	2	no	—
198	C₂²×C₄×D₅₃	—	4	2	no	—
199	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
222	C₂×#11719919	C₂³	1	1	yes	characteristic
223	C₂×#11719919	C₂³	1	1	yes	characteristic
224	C₂×#11719919	C₂³	1	1	yes	characteristic
225	C₂×#11719919	C₂³	1	1	yes	characteristic
226	C₂×#11719919	C₂³	1	1	yes	characteristic
227	C₂×#11719919	C₂³	1	1	yes	characteristic
228	C₂×#11719919	C₂³	1	1	yes	characteristic
229	C₂×#11719919	C₂³	1	1	yes	characteristic
230	C₂×#11719919	C₂³	1	1	yes	characteristic
231	C₂×#11719919	C₂³	1	1	yes	characteristic
232	C₂×#11719919	C₂³	1	1	yes	characteristic
233	C₂×#11719919	C₂³	1	1	yes	characteristic
234	C₂×#11719919	C₂³	1	1	yes	characteristic
235	C₂×#11719919	C₂³	1	1	yes	characteristic
236	C₂×#11719919	C₂³	1	1	yes	characteristic
237	C₂×#11719919	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×D₅₃	—	2	4	no	—
239	C₄⋊C₄×D₅₃	—	2	4	no	—
240	C₄⋊C₄×D₅₃	—	4	2	no	—
241	C₄⋊C₄×D₅₃	—	4	2	no	—
242	C₄⋊C₄×D₅₃	—	4	2	no	—
243	C₄⋊C₄×D₅₃	—	4	2	no	—
244	C₄⋊C₄×D₅₃	—	4	2	no	—
245	C₄⋊C₄×D₅₃	—	4	2	no	—
246	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
257	C₂×#11719921	C₂³	1	1	yes	characteristic
258	C₂×#11719921	C₂³	1	1	yes	characteristic
259	C₂×#11719921	C₂³	1	1	yes	characteristic
260	C₂×#11719921	C₂³	1	1	yes	characteristic
261	C₂×#11719921	C₂³	1	1	yes	characteristic
262	C₂×#11719921	C₂³	1	1	yes	characteristic
263	C₂×#11719921	C₂³	1	1	yes	characteristic
264	C₂×#11719921	C₂³	1	1	yes	characteristic
265	C₂×#11719921	C₂³	1	1	yes	characteristic
266	C₂×#11719921	C₂³	1	1	yes	characteristic
267	C₂×#11719921	C₂³	1	1	yes	characteristic
268	C₂×#11719921	C₂³	1	1	yes	characteristic
269	C₂×#11719921	C₂³	1	1	yes	characteristic
270	C₂×#11719921	C₂³	1	1	yes	characteristic
271	C₂×#11719921	C₂³	1	1	yes	characteristic
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	C₂²⋊C₄×D₅₃	—	2	4	no	—
280	C₂²⋊C₄×D₅₃	—	2	4	no	—
281	C₂²⋊C₄×D₅₃	—	2	4	no	—
282	C₂²⋊C₄×D₅₃	—	2	4	no	—
283	C₂²⋊C₄×D₅₃	—	2	4	no	—
284	C₂²⋊C₄×D₅₃	—	4	2	no	—
285	C₂²⋊C₄×D₅₃	—	4	2	no	—
286	C₂²⋊C₄×D₅₃	—	4	2	no	—
287	C₂²⋊C₄×D₅₃	—	4	2	no	—
288	C₂²⋊C₄×D₅₃	—	4	2	no	—
289	C₂²⋊C₄×D₅₃	—	4	2	no	—
290	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
296	C₄²×D₅₃	—	4	2	no	—
297	C₄²×D₅₃	—	4	2	no	—
298	#13133124	C₂³	1	1	yes	characteristic
299	#13133124	C₂³	1	1	yes	characteristic
300	#13133124	C₂³	1	1	yes	characteristic
301	#13133124	C₂³	1	1	yes	characteristic
302	#13133124	C₂³	1	1	yes	characteristic
303	#13133124	C₂³	1	1	yes	characteristic
304	#13133124	C₂³	1	1	yes	characteristic
305	#13133124	C₂³	1	1	yes	characteristic
306	#13133124	C₂³	1	1	yes	characteristic
307	#13133124	C₂³	1	1	yes	characteristic
308	#13133124	C₂³	1	1	yes	characteristic
309	#13133124	C₂³	1	1	yes	characteristic
310	#13133124	C₂³	1	1	yes	characteristic
311	#13133124	C₂³	1	1	yes	characteristic
312	#13133124	C₂³	1	1	yes	characteristic
313	#13133124	C₂³	1	1	yes	characteristic
314	#13133124	C₂³	1	1	yes	characteristic
315	#13133124	C₂³	1	1	yes	characteristic
316	#13133124	C₂³	1	1	yes	characteristic
317	#13133124	C₂³	1	1	yes	characteristic
318	#13133124	C₂³	1	1	yes	characteristic
319	#13133124	C₂³	1	1	yes	characteristic
320	#13133124	C₂³	1	1	yes	characteristic
321	#13133124	C₂³	1	1	yes	characteristic
322	#13133124	C₂³	1	1	yes	characteristic
323	#13133124	C₂³	1	1	yes	characteristic
324	#13133124	C₂³	1	1	yes	characteristic
325	#13133124	C₂³	1	1	yes	characteristic
326	#13133124	C₂³	1	1	yes	characteristic
327	#13133124	C₂³	1	1	yes	characteristic
328	#13133124	C₂³	1	1	yes	characteristic
329	#13133124	C₂³	1	1	yes	characteristic
330	#13133124	C₂³	1	1	yes	characteristic
331	#13133124	C₂³	1	1	yes	characteristic
332	#13133124	C₂³	1	1	yes	characteristic
333	#13133124	C₂³	1	1	yes	characteristic
334	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
357	#95×C₅₃	C₂³	1	1	yes	characteristic
358	#95×C₅₃	C₂³	1	1	yes	characteristic
359	#95×C₅₃	C₂³	1	1	yes	characteristic
360	#95×C₅₃	C₂³	1	1	yes	characteristic
361	#95×C₅₃	C₂³	1	1	yes	characteristic
362	#95×C₅₃	C₂³	1	1	yes	characteristic
363	#95×C₅₃	C₂³	1	1	yes	characteristic
364	#95×C₅₃	C₂³	1	1	yes	characteristic
365	#95×C₅₃	C₂³	1	1	yes	characteristic
366	#95×C₅₃	C₂³	1	1	yes	characteristic
367	#95×C₅₃	C₂³	1	1	yes	characteristic
368	#95×C₅₃	C₂³	1	1	yes	characteristic
369	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
370	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₅₃	—	2	2	no	—
372	C₂³×D₅₃	—	2	2	no	—
373	C₂³×D₅₃	—	2	2	no	—
374	C₂³×D₅₃	—	2	2	no	—
375	C₂³×D₅₃	—	2	2	no	—
376	C₂³×D₅₃	—	2	2	no	—
377	C₂³×D₅₃	—	2	2	no	—
378	C₂³×D₅₃	—	2	2	no	—
379	C₂³×D₅₃	—	2	2	no	—
380	C₂³×D₅₃	—	2	2	no	—
381	C₂³×D₅₃	—	2	2	no	—
382	C₂³×D₅₃	—	2	2	no	—
383	C₂³×D₅₃	—	2	2	no	—
384	C₂³×D₅₃	#41	1	4	yes	—
385	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
386	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₅₃	—	2	2	no	—
389	C₂×D₄×C₅₃	—	4	1	no	—
390	C₂×D₄×C₅₃	—	4	1	no	—
391	C₂²×C₄×C₅₃	—	2	2	no	—
392	C₂²×C₄×C₅₃	—	4	1	no	—
393	C₂²×C₄×C₅₃	—	4	1	no	—
394	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
407	C₂×C₂²⋊D₅₃	—	2	2	no	—
408	C₂×C₂²⋊D₅₃	—	2	2	no	—
409	C₂×C₂²⋊D₅₃	—	4	1	no	—
410	C₂×C₂²⋊D₅₃	—	4	1	no	—
411	C₂×C₂²⋊D₅₃	—	4	1	no	—
412	C₂×C₂²⋊D₅₃	—	4	1	no	—
413	C₂²×Dic₅₃	—	2	2	no	—
414	C₂²×Dic₅₃	—	4	1	no	—
415	C₂²×Dic₅₃	—	4	1	no	—
416	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
429	D₄×D₅₃	—	4	16	no	—
430	C₂×D₂₁₂	—	2	2	no	—
431	C₂×D₂₁₂	—	4	1	no	—
432	C₂×D₂₁₂	—	4	1	no	—
433	C₂×C₄×D₅₃	—	2	2	no	—
434	C₂×C₄×D₅₃	—	2	2	no	—
435	C₂×C₄×D₅₃	—	2	2	no	—
436	C₂×C₄×D₅₃	—	2	2	no	—
437	C₂×C₄×D₅₃	—	2	2	no	—
438	C₂×C₄×D₅₃	—	2	2	no	—
439	C₂×C₄×D₅₃	—	2	2	no	—
440	C₂×C₄×D₅₃	—	2	2	no	—
441	C₂×C₄×D₅₃	—	2	2	no	—
442	C₂×C₄×D₅₃	—	2	2	no	—
443	C₂×C₄×D₅₃	—	2	2	no	—
444	C₂×C₄×D₅₃	—	2	2	no	—
445	C₂×C₄×D₅₃	—	2	2	no	—
446	C₂×C₄×D₅₃	—	2	2	no	—
447	C₂×C₄×D₅₃	—	2	2	no	—
448	C₂×C₄×D₅₃	—	2	2	no	—
449	C₂×C₄×D₅₃	—	2	2	no	—
450	C₂×C₄×D₅₃	—	2	2	no	—
451	C₂×C₄×D₅₃	—	2	2	no	—
452	C₂×C₄×D₅₃	—	2	2	no	—
453	C₂×C₄×D₅₃	—	2	2	no	—
454	C₂×C₄×D₅₃	—	2	2	no	—
455	C₂×C₄×D₅₃	—	2	2	no	—
456	C₂×C₄×D₅₃	—	2	2	no	—
457	C₂×C₄×D₅₃	—	2	2	no	—
458	C₂×C₄×D₅₃	—	2	2	no	—
459	C₂×C₄×D₅₃	—	2	2	no	—
460	C₂×C₄×D₅₃	—	2	2	no	—
461	C₂×C₄×D₅₃	—	2	2	no	—
462	C₂×C₄×D₅₃	—	2	2	no	—
463	C₂×C₄×D₅₃	—	2	2	no	—
464	C₂×C₄×D₅₃	—	2	2	no	—
465	C₂×C₄×D₅₃	—	2	2	no	—
466	C₂×C₄×D₅₃	—	2	2	no	—
467	C₂×C₄×D₅₃	—	2	2	no	—
468	C₂×C₄×D₅₃	—	2	2	no	—
469	C₂×C₄×D₅₃	—	2	2	no	—
470	C₂×C₄×D₅₃	—	2	2	no	—
471	C₂×C₄×D₅₃	—	2	2	no	—
472	C₂×C₄×D₅₃	—	4	16	no	—
473	C₂×C₄×D₅₃	—	4	1	no	—
474	C₂×C₄×D₅₃	—	4	1	no	—
475	C₂×C₄×D₅₃	—	4	1	no	—
476	C₂×C₄×D₅₃	—	4	1	no	—
477	C₂×C₄×D₅₃	#41	1	4	yes	—
478	C₂×C₄×D₅₃	#41	1	4	yes	—
479	C₄⋊C₄×C₅₃	—	2	2	no	—
480	C₄⋊C₄×C₅₃	—	2	2	no	—
481	C₄⋊C₄×C₅₃	—	4	1	no	—
482	C₄⋊C₄×C₅₃	—	4	1	no	—
483	C₄⋊C₄×C₅₃	—	4	1	no	—
484	C₄⋊C₄×C₅₃	—	4	1	no	—
485	C₄⋊C₄×C₅₃	—	4	1	no	—
486	C₄⋊C₄×C₅₃	—	4	1	no	—
487	C₂²⋊C₄×C₅₃	—	2	2	no	—
488	C₂²⋊C₄×C₅₃	—	2	2	no	—
489	C₂²⋊C₄×C₅₃	—	2	2	no	—
490	C₂²⋊C₄×C₅₃	—	2	2	no	—
491	C₂²⋊C₄×C₅₃	—	2	2	no	—
492	C₂²⋊C₄×C₅₃	—	4	1	no	—
493	C₂²⋊C₄×C₅₃	—	4	1	no	—
494	C₂²⋊C₄×C₅₃	—	4	1	no	—
495	C₂²⋊C₄×C₅₃	—	4	1	no	—
496	C₂²⋊C₄×C₅₃	—	4	1	no	—
497	C₂²⋊C₄×C₅₃	—	4	1	no	—
498	C₄²×C₅₃	—	4	1	no	—
499	C₄²×C₅₃	—	4	1	no	—
500	C₂²⋊Dic₅₃	—	2	2	no	—
501	C₂²⋊Dic₅₃	—	2	2	no	—
502	C₂²⋊Dic₅₃	—	2	2	no	—
503	C₂²⋊Dic₅₃	—	2	2	no	—
504	C₂²⋊Dic₅₃	—	2	2	no	—
505	C₂²⋊Dic₅₃	—	4	1	no	—
506	C₂²⋊Dic₅₃	—	4	1	no	—
507	C₂²⋊Dic₅₃	—	4	1	no	—
508	C₂²⋊Dic₅₃	—	4	1	no	—
509	C₂²⋊Dic₅₃	—	4	1	no	—
510	C₂²⋊Dic₅₃	—	4	1	no	—
511	#11719921	—	2	2	no	—
512	#11719921	—	2	2	no	—
513	#11719921	—	2	2	no	—
514	#11719921	—	2	2	no	—
515	#11719921	—	2	2	no	—
516	#11719921	—	2	2	no	—
517	#11719921	—	2	2	no	—
518	#11719921	—	2	2	no	—
519	#11719921	—	2	2	no	—
520	#11719921	—	2	2	no	—
521	#11719921	—	4	1	no	—
522	#11719921	—	4	1	no	—
523	#11719921	—	4	1	no	—
524	#11719921	—	4	1	no	—
525	#11719921	—	4	1	no	—
526	#11719921	—	4	1	no	—
527	#11719921	—	4	1	no	—
528	#11719921	—	4	1	no	—
529	#11719921	—	4	1	no	—
530	#11719921	—	4	1	no	—
531	#11719921	—	4	1	no	—
532	#11719921	—	4	1	no	—
533	C₄⋊Dic₅₃	—	2	2	no	—
534	C₄⋊Dic₅₃	—	2	2	no	—
535	C₄⋊Dic₅₃	—	4	1	no	—
536	C₄⋊Dic₅₃	—	4	1	no	—
537	C₄⋊Dic₅₃	—	4	1	no	—
538	C₄⋊Dic₅₃	—	4	1	no	—
539	C₄⋊Dic₅₃	—	4	1	no	—
540	C₄⋊Dic₅₃	—	4	1	no	—
541	#11719919	—	2	2	no	—
542	#11719919	—	2	2	no	—
543	#11719919	—	2	2	no	—
544	#11719919	—	2	2	no	—
545	#11719919	—	4	1	no	—
546	#11719919	—	4	1	no	—
547	#11719919	—	4	1	no	—
548	#11719919	—	4	1	no	—
549	#11719919	—	4	1	no	—
550	#11719919	—	4	1	no	—
551	#11719919	—	4	1	no	—
552	#11719919	—	4	1	no	—
553	#11719919	—	4	1	no	—
554	#11719919	—	4	1	no	—
555	#11719919	—	4	1	no	—
556	#11719919	—	4	1	no	—
557	C₄×Dic₅₃	—	4	1	no	—
558	C₄×Dic₅₃	—	4	1	no	—
559	C₄×Dic₅₃	—	4	1	no	—
560	C₄×Dic₅₃	—	4	1	no	—
561	C₄×Dic₅₃	—	4	1	no	—
562	C₄×Dic₅₃	—	4	1	no	—
563	C₂³×C₅₃	—	2	1	no	—
564	C₂³×C₅₃	—	2	1	no	—
565	C₂³×C₅₃	—	2	1	no	—
566	C₂³×C₅₃	—	2	1	no	—
567	C₂³×C₅₃	—	2	1	no	—
568	C₂³×C₅₃	—	2	1	no	—
569	C₂³×C₅₃	—	2	1	no	—
570	C₂³×C₅₃	—	2	1	no	—
571	C₂³×C₅₃	—	2	1	no	—
572	C₂³×C₅₃	—	2	1	no	—
573	C₂³×C₅₃	—	2	1	no	—
574	C₂³×C₅₃	—	2	1	no	—
575	C₂³×C₅₃	—	2	1	no	—
576	C₂³×C₅₃	C₂×#41	1	2	yes	—
577	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
578	C₂²×D₅₃	—	2	1	no	—
579	C₂²×D₅₃	—	2	1	no	—
580	C₂²×D₅₃	—	2	1	no	—
581	C₂²×D₅₃	—	2	1	no	—
582	C₂²×D₅₃	—	2	1	no	—
583	C₂²×D₅₃	—	2	1	no	—
584	C₂²×D₅₃	—	2	8	no	—
585	C₂²×D₅₃	—	2	8	no	—
586	C₂²×D₅₃	—	2	8	no	—
587	C₂²×D₅₃	—	2	1	no	—
588	C₂²×D₅₃	—	2	1	no	—
589	C₂²×D₅₃	—	2	1	no	—
590	C₂²×D₅₃	—	2	1	no	—
591	C₂²×D₅₃	—	2	1	no	—
592	C₂²×D₅₃	—	2	1	no	—
593	C₂²×D₅₃	—	2	1	no	—
594	C₂²×D₅₃	—	4	4	no	—
595	C₂²×D₅₃	—	4	4	no	—
596	C₂²×D₅₃	—	4	4	no	—
597	C₂²×D₅₃	—	4	4	no	—
598	C₂²×D₅₃	—	4	4	no	—
599	C₂²×D₅₃	—	4	4	no	—
600	C₂²×D₅₃	—	4	4	no	—
601	C₂²×D₅₃	—	4	4	no	—
602	C₂²×D₅₃	—	4	4	no	—
603	C₂²×D₅₃	—	4	4	no	—
604	C₂²×D₅₃	—	4	4	no	—
605	C₂²×D₅₃	C₂×#41	1	2	yes	—
606	C₂²×D₅₃	C₂×#41	1	2	yes	—
607	C₂²×D₅₃	C₂×#41	1	2	yes	—
608	C₂²×D₅₃	C₂×#41	1	2	yes	—
609	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
610	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
611	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
612	C₂²×D₅₃	2₋¹⁺⁴	1	2	yes	—
613	D₄×C₅₃	—	4	4	no	—
614	C₂×C₄×C₅₃	—	2	1	no	—
615	C₂×C₄×C₅₃	—	2	1	no	—
616	C₂×C₄×C₅₃	—	2	1	no	—
617	C₂×C₄×C₅₃	—	2	1	no	—
618	C₂×C₄×C₅₃	—	2	1	no	—
619	C₂×C₄×C₅₃	—	2	1	no	—
620	C₂×C₄×C₅₃	—	2	1	no	—
621	C₂×C₄×C₅₃	—	2	1	no	—
622	C₂×C₄×C₅₃	—	2	1	no	—
623	C₂×C₄×C₅₃	—	2	1	no	—
624	C₂×C₄×C₅₃	—	2	1	no	—
625	C₂×C₄×C₅₃	—	2	1	no	—
626	C₂×C₄×C₅₃	—	2	1	no	—
627	C₂×C₄×C₅₃	—	2	1	no	—
628	C₂×C₄×C₅₃	—	2	1	no	—
629	C₂×C₄×C₅₃	—	2	1	no	—
630	C₂×C₄×C₅₃	—	2	1	no	—
631	C₂×C₄×C₅₃	—	2	1	no	—
632	C₂×C₄×C₅₃	—	2	1	no	—
633	C₂×C₄×C₅₃	—	2	1	no	—
634	C₂×C₄×C₅₃	—	2	1	no	—
635	C₂×C₄×C₅₃	—	2	1	no	—
636	C₂×C₄×C₅₃	—	2	1	no	—
637	C₂×C₄×C₅₃	—	2	1	no	—
638	C₂×C₄×C₅₃	—	2	1	no	—
639	C₂×C₄×C₅₃	—	2	1	no	—
640	C₂×C₄×C₅₃	—	2	1	no	—
641	C₂×C₄×C₅₃	—	2	1	no	—
642	C₂×C₄×C₅₃	—	2	1	no	—
643	C₂×C₄×C₅₃	—	2	1	no	—
644	C₂×C₄×C₅₃	—	2	1	no	—
645	C₂×C₄×C₅₃	—	2	1	no	—
646	C₂×C₄×C₅₃	—	2	1	no	—
647	C₂×C₄×C₅₃	—	2	1	no	—
648	C₂×C₄×C₅₃	—	2	1	no	—
649	C₂×C₄×C₅₃	—	2	1	no	—
650	C₂×C₄×C₅₃	—	2	1	no	—
651	C₂×C₄×C₅₃	—	4	4	no	—
652	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
653	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
654	C₂²⋊D₅₃	—	4	4	no	—
655	C₂²⋊D₅₃	—	4	4	no	—
656	C₂×Dic₅₃	—	2	1	no	—
657	C₂×Dic₅₃	—	2	1	no	—
658	C₂×Dic₅₃	—	2	1	no	—
659	C₂×Dic₅₃	—	2	1	no	—
660	C₂×Dic₅₃	—	2	1	no	—
661	C₂×Dic₅₃	—	2	1	no	—
662	C₂×Dic₅₃	—	2	1	no	—
663	C₂×Dic₅₃	—	2	1	no	—
664	C₂×Dic₅₃	—	2	1	no	—
665	C₂×Dic₅₃	—	2	1	no	—
666	C₂×Dic₅₃	—	2	1	no	—
667	C₂×Dic₅₃	—	2	1	no	—
668	C₂×Dic₅₃	—	2	1	no	—
669	C₂×Dic₅₃	—	2	1	no	—
670	C₂×Dic₅₃	—	2	1	no	—
671	C₂×Dic₅₃	—	2	1	no	—
672	C₂×Dic₅₃	—	2	1	no	—
673	C₂×Dic₅₃	—	2	1	no	—
674	C₂×Dic₅₃	—	2	1	no	—
675	C₂×Dic₅₃	—	2	1	no	—
676	C₂×Dic₅₃	—	2	1	no	—
677	C₂×Dic₅₃	—	2	1	no	—
678	C₂×Dic₅₃	—	2	1	no	—
679	C₂×Dic₅₃	—	2	1	no	—
680	C₂×Dic₅₃	—	2	1	no	—
681	C₂×Dic₅₃	—	2	1	no	—
682	C₂×Dic₅₃	—	2	1	no	—
683	C₂×Dic₅₃	—	2	1	no	—
684	C₂×Dic₅₃	—	2	1	no	—
685	C₂×Dic₅₃	—	2	1	no	—
686	C₂×Dic₅₃	—	2	1	no	—
687	C₂×Dic₅₃	—	2	1	no	—
688	C₂×Dic₅₃	—	2	1	no	—
689	C₂×Dic₅₃	—	2	1	no	—
690	C₂×Dic₅₃	—	2	1	no	—
691	C₂×Dic₅₃	—	2	1	no	—
692	C₂×Dic₅₃	—	2	1	no	—
693	C₂×Dic₅₃	—	4	4	no	—
694	C₂×Dic₅₃	C₂×#41	1	2	yes	—
695	C₂×Dic₅₃	C₂×#41	1	2	yes	—
696	D₂₁₂	—	4	4	no	—
697	C₄×D₅₃	—	2	8	no	—
698	C₄×D₅₃	—	2	8	no	—
699	C₄×D₅₃	—	4	4	no	—
700	C₄×D₅₃	—	4	4	no	—
701	C₄×D₅₃	—	4	4	no	—
702	C₄×D₅₃	—	4	4	no	—
703	C₄×D₅₃	—	4	4	no	—
704	C₄×D₅₃	—	4	4	no	—
705	C₄×D₅₃	—	4	4	no	—
706	C₄×D₅₃	—	4	4	no	—
707	C₄×D₅₃	—	4	4	no	—
708	C₄×D₅₃	—	4	4	no	—
709	C₄×D₅₃	—	4	4	no	—
710	C₄×D₅₃	—	4	4	no	—
711	C₄×D₅₃	—	4	4	no	—
712	C₂×#2649	—	53	1	no	maximal, Sylow
713	C₂²×C₅₃	—	2	2	no	—
714	C₂²×C₅₃	—	2	2	no	—
715	C₂²×C₅₃	—	2	2	no	—
716	C₂²×C₅₃	—	4	1	no	—
717	C₂²×C₅₃	—	4	1	no	—
718	C₂²×C₅₃	—	4	1	no	—
719	C₂²×C₅₃	—	4	1	no	—
720	C₂²×C₅₃	—	4	1	no	—
721	C₂²×C₅₃	—	4	1	no	—
722	C₂²×C₅₃	—	4	1	no	—
723	C₂²×C₅₃	—	4	1	no	—
724	C₂²×C₅₃	—	4	1	no	—
725	C₂²×C₅₃	—	4	1	no	—
726	C₂²×C₅₃	—	4	1	no	—
727	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
728	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
729	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
730	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
734	C₂×D₅₃	—	2	2	no	—
735	C₂×D₅₃	—	2	2	no	—
736	C₂×D₅₃	—	2	2	no	—
737	C₂×D₅₃	—	4	1	no	—
738	C₂×D₅₃	—	4	1	no	—
739	C₂×D₅₃	—	4	1	no	—
740	C₂×D₅₃	—	4	1	no	—
741	C₂×D₅₃	—	4	16	no	—
742	C₂×D₅₃	—	4	1	no	—
743	C₂×D₅₃	—	4	1	no	—
744	C₂×D₅₃	—	4	1	no	—
745	C₂×D₅₃	—	4	1	no	—
746	C₂×D₅₃	—	4	1	no	—
747	C₂×D₅₃	—	4	1	no	—
748	C₂×D₅₃	—	4	1	no	—
749	C₂×D₅₃	—	8	8	no	—
750	C₂×D₅₃	#529	1	4	yes	—
751	C₂×D₅₃	#538	1	4	yes	—
752	C₂×D₅₃	#538	1	4	yes	—
753	C₂×D₅₃	#539	1	4	yes	—
754	C₂×D₅₃	#539	1	4	yes	—
755	C₂×D₅₃	#540	1	4	yes	—
756	C₂×D₅₃	#542	1	4	yes	—
757	C₄×C₅₃	—	2	2	no	—
758	C₄×C₅₃	—	2	2	no	—
759	C₄×C₅₃	—	4	1	no	—
760	C₄×C₅₃	—	4	1	no	—
761	C₄×C₅₃	—	4	1	no	—
762	C₄×C₅₃	—	4	1	no	—
763	C₄×C₅₃	—	4	1	no	—
764	C₄×C₅₃	—	4	1	no	—
765	C₄×C₅₃	—	4	1	no	—
766	C₄×C₅₃	—	4	1	no	—
767	C₄×C₅₃	—	4	1	no	—
768	C₄×C₅₃	—	4	1	no	—
769	C₄×C₅₃	—	4	1	no	—
770	Dic₅₃	—	2	2	no	—
771	Dic₅₃	—	2	2	no	—
772	Dic₅₃	—	4	1	no	—
773	Dic₅₃	—	4	1	no	—
774	Dic₅₃	—	4	1	no	—
775	Dic₅₃	—	4	1	no	—
776	Dic₅₃	—	4	1	no	—
777	Dic₅₃	—	4	1	no	—
778	Dic₅₃	—	4	1	no	—
779	Dic₅₃	—	4	1	no	—
780	Dic₅₃	—	4	1	no	—
781	Dic₅₃	—	4	1	no	—
782	Dic₅₃	—	4	1	no	—
783	#2649	—	53	1	no	—
784	#2649	—	53	1	no	—
785	#2649	—	53	1	no	—
786	#2649	—	53	1	no	—
787	#2649	—	53	1	no	—
788	#2649	—	53	1	no	—
789	#2649	—	53	1	no	—
790	#2649	—	53	1	no	—
791	#2649	—	53	1	no	—
792	#2649	—	53	1	no	—
793	#2649	—	53	1	no	—
794	#2649	—	53	1	no	—
795	#2649	—	53	1	no	—
796	#2649	—	53	1	no	—
797	#2649	—	53	1	no	—
798	#2649	D₅₃	1	1	yes	characteristic, direct product factor
799	C₂×#400	—	53	1	no	—
800	C₂×#400	—	53	1	no	—
801	C₂×#399	—	53	1	no	—
802	C₂×#397	—	53	1	no	—
803	C₂×#397	—	53	1	no	—
804	C₂×#396	—	53	1	no	—
805	C₂×#394	—	53	1	no	—
806	C₂×#394	—	53	1	no	—
807	C₂×#389	—	53	1	no	—
808	C₂×#388	—	53	1	no	—
809	C₂×#388	—	53	1	no	—
810	C₂×#387	—	53	1	no	—
811	C₂×#386	—	53	1	no	—
812	C₂×#385	—	53	1	no	—
813	C₂×C₄×C₂²⋊C₄	—	53	1	no	—
814	C₂×C₅₃	—	4	2	no	—
815	C₂×C₅₃	—	8	1	no	—
816	C₂×C₅₃	C₂×#529	1	1	yes	characteristic
817	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
818	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
819	C₂×C₅₃	C₂×#539	1	1	yes	characteristic
820	C₂×C₅₃	C₂×#539	1	1	yes	characteristic
821	C₂×C₅₃	C₂×#540	1	1	yes	characteristic
822	C₂×C₅₃	C₂×#542	1	1	yes	characteristic
823	D₅₃	—	4	2	no	—
824	D₅₃	—	8	1	no	—
825	D₅₃	#2649	1	8	yes	direct product factor
826	C₂³×D₄	—	53	1	no	—
827	C₂⁴×C₄	—	53	1	no	—
828	C₂²×C₄⋊C₄	—	53	1	no	—
829	C₂²×C₄⋊C₄	—	53	1	no	—
830	C₂²×C₄⋊C₄	—	53	1	no	—
831	C₂²×C₄⋊C₄	—	53	1	no	—
832	C₂²×C₄⋊C₄	—	53	1	no	—
833	C₂²×C₄⋊C₄	—	53	1	no	—
834	C₂²×C₄⋊C₄	—	53	1	no	—
835	C₂²×C₄⋊C₄	—	53	1	no	—
836	C₂²×C₂²⋊C₄	—	53	1	no	—
837	C₂²×C₂²⋊C₄	—	53	1	no	—
838	C₂²×C₂²⋊C₄	—	53	1	no	—
839	C₂²×C₂²⋊C₄	—	53	1	no	—
840	C₂²×C₂²⋊C₄	—	53	1	no	—
841	C₂²×C₂²⋊C₄	—	53	1	no	—
842	C₂²×C₂²⋊C₄	—	53	1	no	—
843	C₂²×C₂²⋊C₄	—	53	1	no	—
844	C₂²×C₂²⋊C₄	—	53	1	no	—
845	C₂²×C₂²⋊C₄	—	53	1	no	—
846	C₂²×C₂²⋊C₄	—	53	1	no	—
847	C₂²×C₄²	—	53	1	no	—
848	C₂²×C₄²	—	53	1	no	—
849	#400	—	53	1	no	—
850	#400	—	53	1	no	—
851	#400	—	53	1	no	—
852	#400	—	53	1	no	—
853	#400	—	53	1	no	—
854	#400	—	53	1	no	—
855	#400	—	53	1	no	—
856	#400	—	53	1	no	—
857	#400	—	53	1	no	—
858	#400	—	53	1	no	—
859	#400	—	53	1	no	—
860	#400	—	53	1	no	—
861	#400	—	53	1	no	—
862	#400	—	53	1	no	—
863	#400	C₂×D₅₃	1	1	yes	characteristic, complemented
864	#400	C₂×D₅₃	1	1	yes	characteristic, complemented
865	#399	—	53	1	no	—
866	#399	—	53	1	no	—
867	#399	—	53	1	no	—
868	#399	—	53	1	no	—
869	#399	—	53	1	no	—
870	#399	—	53	1	no	—
871	#399	—	53	1	no	—
872	#399	C₂×D₅₃	1	1	yes	characteristic, complemented
873	#397	—	53	1	no	—
874	#397	—	53	1	no	—
875	#397	—	53	1	no	—
876	#397	—	53	1	no	—
877	#397	—	53	1	no	—
878	#397	—	53	1	no	—
879	#397	—	53	1	no	—
880	#397	—	53	1	no	—
881	#397	—	53	1	no	—
882	#397	—	53	1	no	—
883	#397	—	53	1	no	—
884	#397	—	53	1	no	—
885	#397	—	53	1	no	—
886	#397	—	53	1	no	—
887	#397	C₂×D₅₃	1	1	yes	characteristic, complemented
888	#397	C₂×D₅₃	1	1	yes	characteristic, complemented
889	#396	—	53	1	no	—
890	#396	—	53	1	no	—
891	#396	—	53	1	no	—
892	#396	—	53	1	no	—
893	#396	—	53	1	no	—
894	#396	—	53	1	no	—
895	#396	—	53	1	no	—
896	#396	C₂×D₅₃	1	1	yes	characteristic, complemented
897	#394	—	53	1	no	—
898	#394	—	53	1	no	—
899	#394	—	53	1	no	—
900	#394	—	53	1	no	—
901	#394	—	53	1	no	—
902	#394	—	53	1	no	—
903	#394	—	53	1	no	—
904	#394	—	53	1	no	—
905	#394	—	53	1	no	—
906	#394	—	53	1	no	—
907	#394	—	53	1	no	—
908	#394	—	53	1	no	—
909	#394	—	53	1	no	—
910	#394	—	53	1	no	—
911	#394	C₂×D₅₃	1	1	yes	characteristic
912	#394	C₂×D₅₃	1	1	yes	characteristic
913	#389	—	53	1	no	—
914	#389	—	53	1	no	—
915	#389	—	53	1	no	—
916	#389	—	53	1	no	—
917	#389	—	53	1	no	—
918	#389	—	53	1	no	—
919	#389	—	53	1	no	—
920	#389	C₂×D₅₃	1	1	yes	characteristic, complemented
921	#388	—	53	1	no	—
922	#388	—	53	1	no	—
923	#388	—	53	1	no	—
924	#388	—	53	1	no	—
925	#388	—	53	1	no	—
926	#388	—	53	1	no	—
927	#388	—	53	1	no	—
928	#388	—	53	1	no	—
929	#388	—	53	1	no	—
930	#388	—	53	1	no	—
931	#388	—	53	1	no	—
932	#388	—	53	1	no	—
933	#388	—	53	1	no	—
934	#388	—	53	1	no	—
935	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
936	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
937	#387	—	53	1	no	—
938	#387	—	53	1	no	—
939	#387	—	53	1	no	—
940	#387	—	53	1	no	—
941	#387	—	53	1	no	—
942	#387	—	53	1	no	—
943	#387	—	53	1	no	—
944	#387	C₂×D₅₃	1	1	yes	characteristic, complemented
945	#386	—	53	1	no	—
946	#386	—	53	1	no	—
947	#386	—	53	1	no	—
948	#386	—	53	1	no	—
949	#386	—	53	1	no	—
950	#386	—	53	1	no	—
951	#386	—	53	1	no	—
952	#386	C₂×D₅₃	1	1	yes	characteristic
953	#385	—	53	1	no	—
954	#385	—	53	1	no	—
955	#385	—	53	1	no	—
956	#385	—	53	1	no	—
957	#385	—	53	1	no	—
958	#385	—	53	1	no	—
959	#385	—	53	1	no	—
960	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
961	C₄×C₂²⋊C₄	—	53	1	no	—
962	C₄×C₂²⋊C₄	—	53	1	no	—
963	C₄×C₂²⋊C₄	—	53	1	no	—
964	C₄×C₂²⋊C₄	—	53	1	no	—
965	C₄×C₂²⋊C₄	—	53	1	no	—
966	C₄×C₂²⋊C₄	—	53	1	no	—
967	C₄×C₂²⋊C₄	—	53	1	no	—
968	C₄×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
969	C₂×#95	—	53	1	no	—
970	C₂×#95	—	53	1	no	—
971	C₂×#95	—	53	1	no	—
972	C₂×#95	—	53	1	no	—
973	C₂×#95	—	53	1	no	—
974	C₂×#95	—	53	1	no	—
975	C₂×#95	—	53	1	no	—
976	C₂×#95	—	53	1	no	—
977	C₂×#95	—	53	1	no	—
978	C₂×#95	—	53	1	no	—
979	C₂×#95	—	53	1	no	—
980	C₂×#95	—	53	1	no	—
981	C₅₃	C₂×#2649	1	1	yes	characteristic, complemented, Sylow
982	C₂⁵	—	53	1	no	—
983	C₂⁵	—	53	1	no	—
984	C₂²×D₄	—	53	1	no	—
985	C₂²×D₄	—	53	1	no	—
986	C₂²×D₄	—	53	1	no	—
987	C₂²×D₄	—	106	4	no	—
988	C₂²×D₄	—	212	2	no	—
989	C₂²×D₄	—	212	2	no	—
990	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
991	C₂³×C₄	—	53	1	no	—
992	C₂³×C₄	—	53	1	no	—
993	C₂³×C₄	—	53	1	no	—
994	C₂³×C₄	—	53	1	no	—
995	C₂³×C₄	—	53	1	no	—
996	C₂³×C₄	—	53	1	no	—
997	C₂³×C₄	—	53	1	no	—
998	C₂³×C₄	—	53	1	no	—
999	C₂³×C₄	—	53	1	no	—
1000	C₂³×C₄	—	53	1	no	—
1001	C₂³×C₄	—	53	1	no	—
1002	C₂³×C₄	—	53	1	no	—
1003	C₂³×C₄	—	53	1	no	—
1004	C₂³×C₄	—	53	1	no	—
1005	C₂³×C₄	—	53	1	no	—
1006	C₂³×C₄	—	53	1	no	—
1007	C₂³×C₄	—	106	4	no	—
1008	C₂³×C₄	—	212	2	no	—
1009	C₂³×C₄	—	212	2	no	—
1010	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	—	53	1	no	—
1012	C₂×C₄⋊C₄	—	53	1	no	—
1013	C₂×C₄⋊C₄	—	53	1	no	—
1014	C₂×C₄⋊C₄	—	53	1	no	—
1015	C₂×C₄⋊C₄	—	53	1	no	—
1016	C₂×C₄⋊C₄	—	53	1	no	—
1017	C₂×C₄⋊C₄	—	53	1	no	—
1018	C₂×C₄⋊C₄	—	53	1	no	—
1019	C₂×C₄⋊C₄	—	53	1	no	—
1020	C₂×C₄⋊C₄	—	53	1	no	—
1021	C₂×C₄⋊C₄	—	53	1	no	—
1022	C₂×C₄⋊C₄	—	53	1	no	—
1023	C₂×C₄⋊C₄	—	53	1	no	—
1024	C₂×C₄⋊C₄	—	53	1	no	—
1025	C₂×C₄⋊C₄	—	53	1	no	—
1026	C₂×C₄⋊C₄	—	53	1	no	—
1027	C₂×C₄⋊C₄	—	53	1	no	—
1028	C₂×C₄⋊C₄	—	53	1	no	—
1029	C₂×C₄⋊C₄	—	53	1	no	—
1030	C₂×C₄⋊C₄	—	53	1	no	—
1031	C₂×C₄⋊C₄	—	53	1	no	—
1032	C₂×C₄⋊C₄	—	53	1	no	—
1033	C₂×C₄⋊C₄	—	53	1	no	—
1034	C₂×C₄⋊C₄	—	53	1	no	—
1035	C₂×C₄⋊C₄	—	106	4	no	—
1036	C₂×C₄⋊C₄	—	106	4	no	—
1037	C₂×C₄⋊C₄	—	212	2	no	—
1038	C₂×C₄⋊C₄	—	212	2	no	—
1039	C₂×C₄⋊C₄	—	212	2	no	—
1040	C₂×C₄⋊C₄	—	212	2	no	—
1041	C₂×C₄⋊C₄	—	212	2	no	—
1042	C₂×C₄⋊C₄	—	212	2	no	—
1043	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	—	53	1	no	—
1052	C₂×C₂²⋊C₄	—	53	1	no	—
1053	C₂×C₂²⋊C₄	—	53	1	no	—
1054	C₂×C₂²⋊C₄	—	53	1	no	—
1055	C₂×C₂²⋊C₄	—	53	1	no	—
1056	C₂×C₂²⋊C₄	—	53	1	no	—
1057	C₂×C₂²⋊C₄	—	53	1	no	—
1058	C₂×C₂²⋊C₄	—	53	1	no	—
1059	C₂×C₂²⋊C₄	—	53	1	no	—
1060	C₂×C₂²⋊C₄	—	53	1	no	—
1061	C₂×C₂²⋊C₄	—	53	1	no	—
1062	C₂×C₂²⋊C₄	—	53	1	no	—
1063	C₂×C₂²⋊C₄	—	53	1	no	—
1064	C₂×C₂²⋊C₄	—	53	1	no	—
1065	C₂×C₂²⋊C₄	—	53	1	no	—
1066	C₂×C₂²⋊C₄	—	53	1	no	—
1067	C₂×C₂²⋊C₄	—	53	1	no	—
1068	C₂×C₂²⋊C₄	—	53	1	no	—
1069	C₂×C₂²⋊C₄	—	53	1	no	—
1070	C₂×C₂²⋊C₄	—	53	1	no	—
1071	C₂×C₂²⋊C₄	—	53	1	no	—
1072	C₂×C₂²⋊C₄	—	53	1	no	—
1073	C₂×C₂²⋊C₄	—	53	1	no	—
1074	C₂×C₂²⋊C₄	—	53	1	no	—
1075	C₂×C₂²⋊C₄	—	53	1	no	—
1076	C₂×C₂²⋊C₄	—	53	1	no	—
1077	C₂×C₂²⋊C₄	—	53	1	no	—
1078	C₂×C₂²⋊C₄	—	53	1	no	—
1079	C₂×C₂²⋊C₄	—	53	1	no	—
1080	C₂×C₂²⋊C₄	—	53	1	no	—
1081	C₂×C₂²⋊C₄	—	53	1	no	—
1082	C₂×C₂²⋊C₄	—	53	1	no	—
1083	C₂×C₂²⋊C₄	—	53	1	no	—
1084	C₂×C₂²⋊C₄	—	106	4	no	—
1085	C₂×C₂²⋊C₄	—	106	4	no	—
1086	C₂×C₂²⋊C₄	—	106	4	no	—
1087	C₂×C₂²⋊C₄	—	106	4	no	—
1088	C₂×C₂²⋊C₄	—	106	4	no	—
1089	C₂×C₂²⋊C₄	—	212	2	no	—
1090	C₂×C₂²⋊C₄	—	212	2	no	—
1091	C₂×C₂²⋊C₄	—	212	2	no	—
1092	C₂×C₂²⋊C₄	—	212	2	no	—
1093	C₂×C₂²⋊C₄	—	212	2	no	—
1094	C₂×C₂²⋊C₄	—	212	2	no	—
1095	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1096	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1097	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1098	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1106	C₂×C₄²	—	53	1	no	—
1107	C₂×C₄²	—	53	1	no	—
1108	C₂×C₄²	—	53	1	no	—
1109	C₂×C₄²	—	53	1	no	—
1110	C₂×C₄²	—	53	1	no	—
1111	C₂×C₄²	—	53	1	no	—
1112	C₂×C₄²	—	212	2	no	—
1113	C₂×C₄²	—	212	2	no	—
1114	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1115	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1116	#95	—	53	1	no	—
1117	#95	—	53	1	no	—
1118	#95	—	53	1	no	—
1119	#95	—	53	1	no	—
1120	#95	—	53	1	no	—
1121	#95	—	53	1	no	—
1122	#95	—	53	1	no	—
1123	#95	—	53	1	no	—
1124	#95	—	53	1	no	—
1125	#95	—	53	1	no	—
1126	#95	—	53	1	no	—
1127	#95	—	53	1	no	—
1128	#95	—	53	1	no	—
1129	#95	—	53	1	no	—
1130	#95	—	53	1	no	—
1131	#95	—	53	1	no	—
1132	#95	—	53	1	no	—
1133	#95	—	53	1	no	—
1134	#95	—	53	1	no	—
1135	#95	—	53	1	no	—
1136	#95	—	53	1	no	—
1137	#95	—	53	1	no	—
1138	#95	—	53	1	no	—
1139	#95	—	53	1	no	—
1140	#95	—	53	1	no	—
1141	#95	—	53	1	no	—
1142	#95	—	53	1	no	—
1143	#95	—	53	1	no	—
1144	#95	—	53	1	no	—
1145	#95	—	53	1	no	—
1146	#95	—	53	1	no	—
1147	#95	—	53	1	no	—
1148	#95	—	53	1	no	—
1149	#95	—	53	1	no	—
1150	#95	—	53	1	no	—
1151	#95	—	53	1	no	—
1152	#95	C₂²×D₅₃	1	1	yes	characteristic
1153	#95	C₂²×D₅₃	1	1	yes	characteristic
1154	#95	C₂²×D₅₃	1	1	yes	characteristic
1155	#95	C₂²×D₅₃	1	1	yes	characteristic
1156	#95	C₂²×D₅₃	1	1	yes	characteristic
1157	#95	C₂²×D₅₃	1	1	yes	characteristic
1158	#95	C₂²×D₅₃	1	1	yes	characteristic
1159	#95	C₂²×D₅₃	1	1	yes	characteristic
1160	#95	C₂²×D₅₃	1	1	yes	characteristic
1161	#95	C₂²×D₅₃	1	1	yes	characteristic
1162	#95	C₂²×D₅₃	1	1	yes	characteristic
1163	#95	C₂²×D₅₃	1	1	yes	characteristic
1164	C₂⁴	—	53	1	no	—
1165	C₂⁴	—	53	4	no	—
1166	C₂⁴	—	53	1	no	—
1167	C₂⁴	—	53	1	no	—
1168	C₂⁴	—	106	2	no	—
1169	C₂⁴	—	106	2	no	—
1170	C₂⁴	—	106	2	no	—
1171	C₂⁴	—	106	2	no	—
1172	C₂⁴	—	106	2	no	—
1173	C₂⁴	—	106	2	no	—
1174	C₂⁴	—	106	2	no	—
1175	C₂⁴	—	106	2	no	—
1176	C₂⁴	—	106	2	no	—
1177	C₂⁴	—	106	2	no	—
1178	C₂⁴	—	106	2	no	—
1179	C₂⁴	—	106	2	no	—
1180	C₂⁴	—	106	2	no	—
1181	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1182	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	106	2	no	—
1187	C₂×D₄	—	106	2	no	—
1188	C₂×D₄	—	106	2	no	—
1189	C₂×D₄	—	212	1	no	—
1190	C₂×D₄	—	212	1	no	—
1191	C₂×D₄	—	212	1	no	—
1192	C₂×D₄	—	212	1	no	—
1193	C₂×D₄	—	212	1	no	—
1194	C₂×D₄	—	212	1	no	—
1195	C₂×D₄	—	212	16	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	4	1	no	—
1198	C₂²×C₄	—	4	1	no	—
1199	C₂²×C₄	—	53	1	no	—
1200	C₂²×C₄	—	53	1	no	—
1201	C₂²×C₄	—	53	4	no	—
1202	C₂²×C₄	—	53	4	no	—
1203	C₂²×C₄	—	53	1	no	—
1204	C₂²×C₄	—	53	1	no	—
1205	C₂²×C₄	—	53	1	no	—
1206	C₂²×C₄	—	53	1	no	—
1207	C₂²×C₄	—	53	1	no	—
1208	C₂²×C₄	—	53	1	no	—
1209	C₂²×C₄	—	53	1	no	—
1210	C₂²×C₄	—	53	1	no	—
1211	C₂²×C₄	—	53	1	no	—
1212	C₂²×C₄	—	53	1	no	—
1213	C₂²×C₄	—	53	1	no	—
1214	C₂²×C₄	—	106	2	no	—
1215	C₂²×C₄	—	106	2	no	—
1216	C₂²×C₄	—	106	2	no	—
1217	C₂²×C₄	—	106	2	no	—
1218	C₂²×C₄	—	106	2	no	—
1219	C₂²×C₄	—	106	2	no	—
1220	C₂²×C₄	—	106	2	no	—
1221	C₂²×C₄	—	106	2	no	—
1222	C₂²×C₄	—	106	2	no	—
1223	C₂²×C₄	—	106	2	no	—
1224	C₂²×C₄	—	106	2	no	—
1225	C₂²×C₄	—	106	2	no	—
1226	C₂²×C₄	—	106	2	no	—
1227	C₂²×C₄	—	106	2	no	—
1228	C₂²×C₄	—	106	2	no	—
1229	C₂²×C₄	—	106	2	no	—
1230	C₂²×C₄	—	106	2	no	—
1231	C₂²×C₄	—	106	2	no	—
1232	C₂²×C₄	—	106	2	no	—
1233	C₂²×C₄	—	106	2	no	—
1234	C₂²×C₄	—	106	2	no	—
1235	C₂²×C₄	—	106	2	no	—
1236	C₂²×C₄	—	106	2	no	—
1237	C₂²×C₄	—	106	2	no	—
1238	C₂²×C₄	—	106	2	no	—
1239	C₂²×C₄	—	106	2	no	—
1240	C₂²×C₄	—	106	2	no	—
1241	C₂²×C₄	—	106	2	no	—
1242	C₂²×C₄	—	106	2	no	—
1243	C₂²×C₄	—	106	2	no	—
1244	C₂²×C₄	—	106	2	no	—
1245	C₂²×C₄	—	106	2	no	—
1246	C₂²×C₄	—	106	2	no	—
1247	C₂²×C₄	—	106	2	no	—
1248	C₂²×C₄	—	106	2	no	—
1249	C₂²×C₄	—	106	2	no	—
1250	C₂²×C₄	—	106	2	no	—
1251	C₂²×C₄	—	106	2	no	—
1252	C₂²×C₄	—	106	2	no	—
1253	C₂²×C₄	—	106	2	no	—
1254	C₂²×C₄	—	212	1	no	—
1255	C₂²×C₄	—	212	1	no	—
1256	C₂²×C₄	—	212	1	no	—
1257	C₂²×C₄	—	212	1	no	—
1258	C₂²×C₄	—	212	16	no	—
1259	C₂²×C₄	—	212	1	no	—
1260	C₂²×C₄	—	212	1	no	—
1261	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1264	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1266	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1274	C₄⋊C₄	—	2	2	no	—
1275	C₄⋊C₄	—	2	2	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	106	2	no	—
1283	C₄⋊C₄	—	106	2	no	—
1284	C₄⋊C₄	—	106	2	no	—
1285	C₄⋊C₄	—	106	2	no	—
1286	C₄⋊C₄	—	106	2	no	—
1287	C₄⋊C₄	—	106	2	no	—
1288	C₄⋊C₄	—	212	1	no	—
1289	C₄⋊C₄	—	212	1	no	—
1290	C₄⋊C₄	—	212	1	no	—
1291	C₄⋊C₄	—	212	1	no	—
1292	C₄⋊C₄	—	212	1	no	—
1293	C₄⋊C₄	—	212	1	no	—
1294	C₄⋊C₄	—	212	1	no	—
1295	C₄⋊C₄	—	212	1	no	—
1296	C₄⋊C₄	—	212	1	no	—
1297	C₄⋊C₄	—	212	1	no	—
1298	C₄⋊C₄	—	212	1	no	—
1299	C₄⋊C₄	—	212	1	no	—
1300	C₄⋊C₄	—	212	1	no	—
1301	C₄⋊C₄	—	212	1	no	—
1302	C₄⋊C₄	—	212	1	no	—
1303	C₄⋊C₄	—	212	1	no	—
1304	C₄⋊C₄	—	212	1	no	—
1305	C₄⋊C₄	—	212	1	no	—
1306	C₂²⋊C₄	—	2	2	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	2	no	—
1309	C₂²⋊C₄	—	2	2	no	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	106	2	no	—
1318	C₂²⋊C₄	—	106	2	no	—
1319	C₂²⋊C₄	—	106	2	no	—
1320	C₂²⋊C₄	—	106	2	no	—
1321	C₂²⋊C₄	—	106	2	no	—
1322	C₂²⋊C₄	—	106	2	no	—
1323	C₂²⋊C₄	—	106	2	no	—
1324	C₂²⋊C₄	—	106	2	no	—
1325	C₂²⋊C₄	—	106	2	no	—
1326	C₂²⋊C₄	—	106	2	no	—
1327	C₂²⋊C₄	—	106	2	no	—
1328	C₂²⋊C₄	—	106	2	no	—
1329	C₂²⋊C₄	—	106	2	no	—
1330	C₂²⋊C₄	—	106	2	no	—
1331	C₂²⋊C₄	—	106	2	no	—
1332	C₂²⋊C₄	—	212	1	no	—
1333	C₂²⋊C₄	—	212	1	no	—
1334	C₂²⋊C₄	—	212	1	no	—
1335	C₂²⋊C₄	—	212	1	no	—
1336	C₂²⋊C₄	—	212	1	no	—
1337	C₂²⋊C₄	—	212	1	no	—
1338	C₂²⋊C₄	—	212	1	no	—
1339	C₂²⋊C₄	—	212	1	no	—
1340	C₂²⋊C₄	—	212	1	no	—
1341	C₂²⋊C₄	—	212	1	no	—
1342	C₂²⋊C₄	—	212	1	no	—
1343	C₂²⋊C₄	—	212	1	no	—
1344	C₂²⋊C₄	—	212	1	no	—
1345	C₂²⋊C₄	—	212	1	no	—
1346	C₂²⋊C₄	—	212	1	no	—
1347	C₂²⋊C₄	—	212	1	no	—
1348	C₂²⋊C₄	—	212	1	no	—
1349	C₂²⋊C₄	—	212	1	no	—
1350	C₄²	—	4	1	no	—
1351	C₄²	—	4	1	no	—
1352	C₄²	—	212	1	no	—
1353	C₄²	—	212	1	no	—
1354	C₄²	—	212	1	no	—
1355	C₄²	—	212	1	no	—
1356	C₄²	—	212	1	no	—
1357	C₄²	—	212	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	53	2	no	—
1372	C₂³	—	53	2	no	—
1373	C₂³	—	53	2	no	—
1374	C₂³	—	53	2	no	—
1375	C₂³	—	53	2	no	—
1376	C₂³	—	53	2	no	—
1377	C₂³	—	53	2	no	—
1378	C₂³	—	53	2	no	—
1379	C₂³	—	106	8	no	—
1380	C₂³	—	106	8	no	—
1381	C₂³	—	106	8	no	—
1382	C₂³	—	106	1	no	—
1383	C₂³	—	106	1	no	—
1384	C₂³	—	106	1	no	—
1385	C₂³	—	106	1	no	—
1386	C₂³	—	106	1	no	—
1387	C₂³	—	106	1	no	—
1388	C₂³	—	106	1	no	—
1389	C₂³	—	106	1	no	—
1390	C₂³	—	106	1	no	—
1391	C₂³	—	106	1	no	—
1392	C₂³	—	106	1	no	—
1393	C₂³	—	106	1	no	—
1394	C₂³	—	106	1	no	—
1395	C₂³	—	212	4	no	—
1396	C₂³	—	212	4	no	—
1397	C₂³	—	212	4	no	—
1398	C₂³	—	212	4	no	—
1399	C₂³	—	212	4	no	—
1400	C₂³	—	212	4	no	—
1401	C₂³	—	212	4	no	—
1402	C₂³	—	212	4	no	—
1403	C₂³	—	212	4	no	—
1404	C₂³	—	212	4	no	—
1405	C₂³	—	212	4	no	—
1406	C₂³	#41×D₅₃	1	2	yes	—
1407	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1408	D₄	—	4	4	no	—
1409	D₄	—	212	4	no	—
1410	D₄	—	212	4	no	—
1411	D₄	—	212	4	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	4	4	no	—
1450	C₂×C₄	—	53	2	no	—
1451	C₂×C₄	—	53	2	no	—
1452	C₂×C₄	—	106	8	no	—
1453	C₂×C₄	—	106	8	no	—
1454	C₂×C₄	—	106	1	no	—
1455	C₂×C₄	—	106	1	no	—
1456	C₂×C₄	—	106	1	no	—
1457	C₂×C₄	—	106	1	no	—
1458	C₂×C₄	—	106	1	no	—
1459	C₂×C₄	—	106	1	no	—
1460	C₂×C₄	—	106	1	no	—
1461	C₂×C₄	—	106	1	no	—
1462	C₂×C₄	—	106	1	no	—
1463	C₂×C₄	—	106	1	no	—
1464	C₂×C₄	—	106	1	no	—
1465	C₂×C₄	—	106	1	no	—
1466	C₂×C₄	—	106	1	no	—
1467	C₂×C₄	—	106	1	no	—
1468	C₂×C₄	—	106	1	no	—
1469	C₂×C₄	—	106	1	no	—
1470	C₂×C₄	—	106	1	no	—
1471	C₂×C₄	—	106	1	no	—
1472	C₂×C₄	—	106	1	no	—
1473	C₂×C₄	—	106	1	no	—
1474	C₂×C₄	—	106	1	no	—
1475	C₂×C₄	—	106	1	no	—
1476	C₂×C₄	—	106	1	no	—
1477	C₂×C₄	—	106	1	no	—
1478	C₂×C₄	—	106	1	no	—
1479	C₂×C₄	—	106	1	no	—
1480	C₂×C₄	—	106	1	no	—
1481	C₂×C₄	—	106	1	no	—
1482	C₂×C₄	—	106	1	no	—
1483	C₂×C₄	—	106	1	no	—
1484	C₂×C₄	—	106	1	no	—
1485	C₂×C₄	—	106	1	no	—
1486	C₂×C₄	—	106	1	no	—
1487	C₂×C₄	—	106	1	no	—
1488	C₂×C₄	—	106	1	no	—
1489	C₂×C₄	—	106	1	no	—
1490	C₂×C₄	—	106	1	no	—
1491	C₂×C₄	—	212	4	no	—
1492	C₂×C₄	—	212	4	no	—
1493	C₂×C₄	—	212	4	no	—
1494	C₂×C₄	—	212	4	no	—
1495	C₂×C₄	—	212	4	no	—
1496	C₂×C₄	—	212	4	no	—
1497	C₂×C₄	—	212	4	no	—
1498	C₂×C₄	—	212	4	no	—
1499	C₂×C₄	—	212	4	no	—
1500	C₂×C₄	—	212	4	no	—
1501	C₂×C₄	—	212	4	no	—
1502	C₂×C₄	—	212	4	no	—
1503	C₂×C₄	—	212	4	no	—
1504	C₂×C₄	—	212	4	no	—
1505	C₂×C₄	#41×D₅₃	1	2	yes	—
1506	C₂×C₄	#41×D₅₃	1	2	yes	—
1507	C₂²	—	2	2	no	—
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	2	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	53	4	no	—
1522	C₂²	—	53	4	no	—
1523	C₂²	—	53	4	no	—
1524	C₂²	—	53	4	no	—
1525	C₂²	—	53	4	no	—
1526	C₂²	—	53	4	no	—
1527	C₂²	—	53	4	no	—
1528	C₂²	—	106	2	no	—
1529	C₂²	—	106	2	no	—
1530	C₂²	—	106	2	no	—
1531	C₂²	—	424	8	no	—
1532	C₂²	—	212	16	no	—
1533	C₂²	—	212	1	no	—
1534	C₂²	—	212	1	no	—
1535	C₂²	—	212	1	no	—
1536	C₂²	—	212	1	no	—
1537	C₂²	—	212	1	no	—
1538	C₂²	—	212	1	no	—
1539	C₂²	—	212	1	no	—
1540	C₂²	—	212	1	no	—
1541	C₂²	—	212	1	no	—
1542	C₂²	—	212	1	no	—
1543	C₂²	—	212	1	no	—
1544	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1545	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1546	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1547	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1548	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1549	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1550	C₂²	2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
1551	C₄	—	2	2	no	—
1552	C₄	—	2	2	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	106	2	no	—
1565	C₄	—	106	2	no	—
1566	C₄	—	212	1	no	—
1567	C₄	—	212	1	no	—
1568	C₄	—	212	1	no	—
1569	C₄	—	212	1	no	—
1570	C₄	—	212	1	no	—
1571	C₄	—	212	1	no	—
1572	C₄	—	212	1	no	—
1573	C₄	—	212	1	no	—
1574	C₄	—	212	1	no	—
1575	C₄	—	212	1	no	—
1576	C₄	—	212	1	no	—
1577	C₂	—	4	2	no	—
1578	C₂	—	8	1	no	—
1579	C₂	—	53	8	no	—
1580	C₂	—	424	1	no	—
1581	C₂	—	212	2	no	—
1582	C₂	#529×D₅₃	1	1	yes	characteristic
1583	C₂	#538×D₅₃	1	1	yes	characteristic
1584	C₂	#538×D₅₃	1	1	yes	characteristic
1585	C₂	#539×D₅₃	1	1	yes	characteristic
1586	C₂	#539×D₅₃	1	1	yes	characteristic
1587	C₂	#540×D₅₃	1	1	yes	characteristic
1588	C₂	#542×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator, socle, cosocle	C₂³×C₅₃	C₂⁵
Fitting	C₅₃×#2649	C₂
prime radical	C₂²×D₄×D₅₃	C₂²
hypercenter	#2649	D₅₃
hypocenter	C₅₃	C₂×#2649
LCS	G ▷ C₂³×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2649

Complements

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

N	H ≅ G/N	type
1. #20280725	C₂	semidirect
2. #20280724	C₂	semidirect
3. #20280723	C₂	semidirect
4. #20280722	C₂	semidirect
5. #20280721	C₂	semidirect
6. #20280720	C₂	semidirect
7. #20280719	C₂	semidirect
8. #20280718	C₂	semidirect
9. #20280717	C₂	semidirect
10. #20280716	C₂	semidirect
11. #20280715	C₂	semidirect
12. #20280714	C₂	semidirect
13. #20280713	C₂	semidirect
14. #20280712	C₂	semidirect
15. #20280711	C₂	semidirect
16. #400×D₅₃	C₂	semidirect
17. #400×D₅₃	C₂	semidirect
18. #399×D₅₃	C₂	semidirect
19. #397×D₅₃	C₂	semidirect
20. #397×D₅₃	C₂	semidirect
21. #396×D₅₃	C₂	semidirect
24. #389×D₅₃	C₂	semidirect
25. #388×D₅₃	C₂	semidirect
26. #388×D₅₃	C₂	semidirect
27. #387×D₅₃	C₂	semidirect
29. #385×D₅₃	C₂	semidirect
30. C₄×C₂²⋊C₄×D₅₃	C₂	semidirect
31. C₅₃×#2649	C₂	semidirect
55. #16810565	C₂²	semidirect
56. #16810565	C₂²	semidirect
57. #16810565	C₂²	semidirect
58. #16810565	C₂²	semidirect
59. #16810564	C₂²	semidirect
60. #16810564	C₂²	semidirect
61. #16810564	C₂²	semidirect
62. #16810564	C₂²	semidirect
63. #16810563	C₂²	semidirect
64. #16810563	C₂²	semidirect
65. #16810562	C₂²	semidirect
66. #16810562	C₂²	semidirect
67. #16810561	C₂²	semidirect
68. #16810561	C₂²	semidirect
69. #16810560	C₂²	semidirect
70. #16810559	C₂²	semidirect
71. #16810559	C₂²	semidirect
72. #16810559	C₂²	semidirect
73. #16810558	C₂²	semidirect
74. #16810558	C₂²	semidirect
75. #16810558	C₂²	semidirect
76. #16810552	C₂²	semidirect
77. #16810552	C₂²	semidirect
78. #16810552	C₂²	semidirect
79. #16810552	C₂²	semidirect
80. #16810551	C₂²	semidirect
81. #16810551	C₂²	semidirect
82. #16810551	C₂²	semidirect
83. #16810551	C₂²	semidirect
84. #16810550	C₂²	semidirect
85. #16810550	C₂²	semidirect
86. #16810549	C₂²	semidirect
87. #16810549	C₂²	semidirect
88. #16810548	C₂²	semidirect
89. #16810548	C₂²	semidirect
90. #16810547	C₂²	semidirect
91. #16810546	C₂²	semidirect
92. #16810546	C₂²	semidirect
93. #16810546	C₂²	semidirect
94. #16810545	C₂²	semidirect
95. #16810545	C₂²	semidirect
96. #16810545	C₂²	semidirect
111. #16810522	C₂²	semidirect
112. #16810521	C₂²	semidirect
113. #16810520	C₂²	semidirect
114. #16810520	C₂²	semidirect
115. #16810519	C₂²	semidirect
116. #16810518	C₂²	semidirect
117. #16810518	C₂²	semidirect
118. #16810517	C₂²	semidirect
119. #16810517	C₂²	semidirect
120. #16810516	C₂²	semidirect
121. #16810516	C₂²	semidirect
122. #16810515	C₂²	semidirect
123. #16810515	C₂²	semidirect
124. #16810514	C₂²	semidirect
125. #16810514	C₂²	semidirect
126. #16810513	C₂²	semidirect
127. #16810513	C₂²	semidirect
128. #16810512	C₂²	semidirect
129. #16810512	C₂²	semidirect
130. #16810511	C₂²	semidirect
131. #16810511	C₂²	semidirect
132. #16810510	C₂²	semidirect
133. #16810509	C₂²	semidirect
134. #16810508	C₂²	semidirect
135. #16810507	C₂²	semidirect
136. #16810506	C₂²	semidirect
137. #16810505	C₂²	semidirect
138. #16810504	C₂²	semidirect
146. #16810498	C₂²	semidirect
147. #16810497	C₂²	semidirect
148. #16810497	C₂²	semidirect
149. #16810496	C₂²	semidirect
150. #16810495	C₂²	semidirect
151. #16810494	C₂²	semidirect
152. #16810494	C₂²	semidirect
153. C₂²⋊C₄×Dic₅₃	C₂²	semidirect
154. C₂²⋊C₄×Dic₅₃	C₂²	semidirect
155. C₄×#11719921	C₂²	semidirect
156. C₄×#11719921	C₂²	semidirect
157. C₄×C₂²⋊Dic₅₃	C₂²	semidirect
158. #16810470	C₂²	semidirect
159. #16810470	C₂²	semidirect
172. C₅₃×#400	C₂²	semidirect
173. C₅₃×#400	C₂²	semidirect
174. C₅₃×#399	C₂²	semidirect
175. C₅₃×#397	C₂²	semidirect
176. C₅₃×#397	C₂²	semidirect
177. C₅₃×#396	C₂²	semidirect
180. C₅₃×#389	C₂²	semidirect
181. C₅₃×#388	C₂²	semidirect
182. C₅₃×#388	C₂²	semidirect
183. C₅₃×#387	C₂²	semidirect
185. C₅₃×#385	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
798. #2649	D₅₃	direct (N × H)
825. D₅₃	#2649	direct (N × H)
863. #400	C₂×D₅₃	semidirect
864. #400	C₂×D₅₃	semidirect
872. #399	C₂×D₅₃	semidirect
887. #397	C₂×D₅₃	semidirect
888. #397	C₂×D₅₃	semidirect
896. #396	C₂×D₅₃	semidirect
920. #389	C₂×D₅₃	semidirect
935. #388	C₂×D₅₃	semidirect
936. #388	C₂×D₅₃	semidirect
944. #387	C₂×D₅₃	semidirect
960. #385	C₂×D₅₃	semidirect
968. C₄×C₂²⋊C₄	C₂×D₅₃	semidirect
981. C₅₃	C₂×#2649	semidirect

Maximal subgroups

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

subgroup	index
#20280725	2
#20280724	2
#20280723	2
#20280722	2
#20280721	2
#20280720	2
#20280719	2
#20280718	2
#20280717	2
#20280716	2
#20280715	2
#20280714	2
#20280713	2
#20280712	2
#20280711	2
#400×D₅₃	2
#399×D₅₃	2
#397×D₅₃	2
#396×D₅₃	2
#394×D₅₃	2
#389×D₅₃	2
#388×D₅₃	2
#387×D₅₃	2
#386×D₅₃	2
#385×D₅₃	2
C₄×C₂²⋊C₄×D₅₃	2
C₅₃×#2649	2
C₂×#2649	53

Subgroups — D53×#2649 #27550595

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#2649 #27550595