Subgroups — D₅₃×#2480 #27551694

Order 13568.

4102 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#126×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₂²⋊C₄×D₅₃	C₂	1	1	yes	maximal, characteristic
3	#20278968	C₂	1	1	yes	maximal, characteristic, complemented
4	#20278967	C₂	1	1	yes	maximal, characteristic, complemented
5	#20278966	C₂	1	1	yes	maximal, characteristic, complemented
6	#20278965	C₂	1	1	yes	maximal, characteristic, complemented
7	#20278964	C₂	1	1	yes	maximal, characteristic, complemented
8	#20278963	C₂	1	1	yes	maximal, characteristic, complemented
9	#20278962	C₂	1	1	yes	maximal, characteristic, complemented
10	#20278961	C₂	1	1	yes	maximal, characteristic, complemented
11	#20278960	C₂	1	1	yes	maximal, characteristic, complemented
12	#20278959	C₂	1	1	yes	maximal, characteristic, complemented
13	#20278958	C₂	1	1	yes	maximal, characteristic, complemented
14	#20278957	C₂	1	1	yes	maximal, characteristic, complemented
15	#20278956	C₂	1	1	yes	maximal, characteristic, complemented
16	#20278955	C₂	1	1	yes	maximal, characteristic, complemented
17	#20278954	C₂	1	1	yes	maximal, characteristic, complemented
18	#397×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	#388×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#388×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#388×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#385×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#385×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#380×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#379×D₅₃	C₂	1	1	yes	maximal, characteristic
29	#379×D₅₃	C₂	1	1	yes	maximal, characteristic
30	C₄×C₂²⋊C₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁵×D₅₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
34	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
35	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
40	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
42	#126×D₅₃	—	2	8	no	—
43	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
50	C₂²×#11719921	C₂²	1	1	yes	characteristic
51	C₂²×#11719921	C₂²	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×D₅₃	—	2	8	no	—
53	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
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	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
65	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
66	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
67	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
68	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
69	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
71	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
72	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
73	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
75	#16810552	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	#16810552	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	#16810551	C₂²	1	1	yes	characteristic, complemented
85	#16810551	C₂²	1	1	yes	characteristic, complemented
86	#16810551	C₂²	1	1	yes	characteristic, complemented
87	#16810550	C₂²	1	1	yes	characteristic, complemented
88	#16810550	C₂²	1	1	yes	characteristic, complemented
89	#16810550	C₂²	1	1	yes	characteristic, complemented
90	#16810549	C₂²	1	1	yes	characteristic, complemented
91	#16810549	C₂²	1	1	yes	characteristic, complemented
92	#16810549	C₂²	1	1	yes	characteristic, complemented
93	#16810548	C₂²	1	1	yes	characteristic, complemented
94	#16810548	C₂²	1	1	yes	characteristic, complemented
95	#16810548	C₂²	1	1	yes	characteristic, complemented
96	#16810547	C₂²	1	1	yes	characteristic, complemented
97	#16810546	C₂²	1	1	yes	characteristic, complemented
98	#16810546	C₂²	1	1	yes	characteristic, complemented
99	#16810546	C₂²	1	1	yes	characteristic, complemented
100	#16810545	C₂²	1	1	yes	characteristic, complemented
101	#16810545	C₂²	1	1	yes	characteristic, complemented
102	#16810545	C₂²	1	1	yes	characteristic, complemented
103	#16810517	C₂²	1	1	yes	characteristic, complemented
104	#16810517	C₂²	1	1	yes	characteristic, complemented
105	#16810517	C₂²	1	1	yes	characteristic, complemented
106	#16810516	C₂²	1	1	yes	characteristic, complemented
107	#16810516	C₂²	1	1	yes	characteristic, complemented
108	#16810516	C₂²	1	1	yes	characteristic, complemented
109	#16810515	C₂²	1	1	yes	characteristic, complemented
110	#16810515	C₂²	1	1	yes	characteristic, complemented
111	#16810515	C₂²	1	1	yes	characteristic, complemented
112	#16810514	C₂²	1	1	yes	characteristic, complemented
113	#16810514	C₂²	1	1	yes	characteristic, complemented
114	#16810514	C₂²	1	1	yes	characteristic, complemented
115	#16810513	C₂²	1	1	yes	characteristic, complemented
116	#16810513	C₂²	1	1	yes	characteristic, complemented
117	#16810513	C₂²	1	1	yes	characteristic, complemented
118	#16810512	C₂²	1	1	yes	characteristic, complemented
119	#16810512	C₂²	1	1	yes	characteristic, complemented
120	#16810512	C₂²	1	1	yes	characteristic, complemented
121	#16810511	C₂²	1	1	yes	characteristic, complemented
122	#16810511	C₂²	1	1	yes	characteristic, complemented
123	#16810511	C₂²	1	1	yes	characteristic, complemented
124	#16810498	C₂²	1	1	yes	characteristic, complemented
125	#16810498	C₂²	1	1	yes	characteristic, complemented
126	#16810497	C₂²	1	1	yes	characteristic, complemented
127	#16810497	C₂²	1	1	yes	characteristic, complemented
128	#16810497	C₂²	1	1	yes	characteristic, complemented
129	#16810497	C₂²	1	1	yes	characteristic, complemented
130	#16810496	C₂²	1	1	yes	characteristic, complemented
131	#16810496	C₂²	1	1	yes	characteristic, complemented
132	#16810495	C₂²	1	1	yes	characteristic, complemented
133	#16810495	C₂²	1	1	yes	characteristic, complemented
134	#16810494	C₂²	1	1	yes	characteristic, complemented
135	#16810494	C₂²	1	1	yes	characteristic, complemented
136	#16810494	C₂²	1	1	yes	characteristic, complemented
137	#16810494	C₂²	1	1	yes	characteristic, complemented
138	#16810483	C₂²	1	1	yes	characteristic, complemented
139	#16810482	C₂²	1	1	yes	characteristic, complemented
140	#16810482	C₂²	1	1	yes	characteristic, complemented
141	#16810481	C₂²	1	1	yes	characteristic, complemented
142	#16810481	C₂²	1	1	yes	characteristic, complemented
143	#16810480	C₂²	1	1	yes	characteristic, complemented
144	#16810480	C₂²	1	1	yes	characteristic, complemented
145	#16810479	C₂²	1	1	yes	characteristic
146	#16810479	C₂²	1	1	yes	characteristic
147	#16810478	C₂²	1	1	yes	characteristic
148	#16810478	C₂²	1	1	yes	characteristic
149	#16810478	C₂²	1	1	yes	characteristic
150	#16810478	C₂²	1	1	yes	characteristic
151	#16810478	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	C₂²⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
160	C₂²⋊C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
161	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
162	C₄×#11719921	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
164	#16810470	C₂²	1	1	yes	characteristic, complemented
165	#16810470	C₂²	1	1	yes	characteristic, complemented
166	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
167	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
168	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
169	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
170	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
171	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
172	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
173	#95×D₅₃	C₂²	1	1	yes	characteristic, complemented
174	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
175	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
176	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#388	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×#385	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
186	C₅₃×#379	C₂²	1	1	yes	characteristic
187	C₅₃×#379	C₂²	1	1	yes	characteristic
188	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₅₃	—	2	4	no	—
190	C₂⁴×D₅₃	—	2	4	no	—
191	C₂⁴×D₅₃	—	2	4	no	—
192	C₂⁴×D₅₃	—	2	4	no	—
193	C₂⁴×D₅₃	—	2	4	no	—
194	C₂⁴×D₅₃	—	4	2	no	—
195	C₂⁴×D₅₃	—	4	2	no	—
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	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
201	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
202	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
203	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅₃	—	2	4	no	—
205	C₂²×C₄×D₅₃	—	2	4	no	—
206	C₂²×C₄×D₅₃	—	2	4	no	—
207	C₂²×C₄×D₅₃	—	2	4	no	—
208	C₂²×C₄×D₅₃	—	4	2	no	—
209	C₂²×C₄×D₅₃	—	4	2	no	—
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	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
219	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
226	#13133212	—	2	4	no	—
227	#13133212	—	2	4	no	—
228	#13133212	—	2	4	no	—
229	#13133211	—	2	4	no	—
230	#13133210	—	2	4	no	—
231	#13133210	—	2	4	no	—
232	#13133210	—	2	4	no	—
233	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
235	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
237	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
238	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
239	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
240	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
241	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
242	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
243	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
244	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
245	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
246	C₂×#11719919	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	C₄⋊C₄×D₅₃	—	2	4	no	—
252	C₄⋊C₄×D₅₃	—	2	4	no	—
253	C₄⋊C₄×D₅₃	—	2	4	no	—
254	C₄⋊C₄×D₅₃	—	4	2	no	—
255	C₄⋊C₄×D₅₃	—	4	2	no	—
256	C₄⋊C₄×D₅₃	—	4	2	no	—
257	C₂×C₂²⋊Dic₅₃	—	2	4	no	—
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
271	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
274	C₂×#11719921	—	2	4	no	—
275	C₂×#11719921	—	2	4	no	—
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	C₂²⋊C₄×D₅₃	—	2	4	no	—
309	C₂²⋊C₄×D₅₃	—	2	4	no	—
310	C₂²⋊C₄×D₅₃	—	2	4	no	—
311	C₂²⋊C₄×D₅₃	—	2	4	no	—
312	C₂²⋊C₄×D₅₃	—	2	4	no	—
313	C₂²⋊C₄×D₅₃	—	2	4	no	—
314	C₂²⋊C₄×D₅₃	—	2	4	no	—
315	C₂²⋊C₄×D₅₃	—	2	4	no	—
316	C₂²⋊C₄×D₅₃	—	2	4	no	—
317	C₂²⋊C₄×D₅₃	—	2	4	no	—
318	C₂²⋊C₄×D₅₃	—	2	4	no	—
319	C₂²⋊C₄×D₅₃	—	2	4	no	—
320	C₂²⋊C₄×D₅₃	—	2	4	no	—
321	C₂²⋊C₄×D₅₃	—	2	4	no	—
322	C₂²⋊C₄×D₅₃	—	2	4	no	—
323	C₂²⋊C₄×D₅₃	—	4	2	no	—
324	C₂²⋊C₄×D₅₃	—	4	2	no	—
325	C₂²⋊C₄×D₅₃	—	4	2	no	—
326	C₂²⋊C₄×D₅₃	—	4	2	no	—
327	C₂²⋊C₄×D₅₃	D₄	1	8	yes	—
328	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
329	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
330	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
331	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
332	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
333	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
334	C₄²×D₅₃	—	2	4	no	—
335	C₄²×D₅₃	—	4	2	no	—
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	#13133124	C₂³	1	1	yes	characteristic, complemented
345	#13133124	C₂³	1	1	yes	characteristic, complemented
346	#13133124	C₂³	1	1	yes	characteristic, complemented
347	#13133124	C₂³	1	1	yes	characteristic, complemented
348	#13133124	C₂³	1	1	yes	characteristic, complemented
349	#13133124	C₂³	1	1	yes	characteristic, complemented
350	#13133124	C₂³	1	1	yes	characteristic, complemented
351	#13133124	C₂³	1	1	yes	characteristic, complemented
352	#13133124	C₂³	1	1	yes	characteristic, complemented
353	#13133124	C₂³	1	1	yes	characteristic, complemented
354	#13133124	C₂³	1	1	yes	characteristic, complemented
355	#13133124	C₂³	1	1	yes	characteristic, complemented
356	#13133124	C₂³	1	1	yes	characteristic, complemented
357	#13133124	C₂³	1	1	yes	characteristic, complemented
358	#13133124	C₂³	1	1	yes	characteristic, complemented
359	#13133124	C₂³	1	1	yes	characteristic, complemented
360	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
361	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
362	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
363	#126×C₅₃	—	2	4	no	—
364	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
365	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
366	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
367	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
368	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
369	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
370	C₂×C₂²⋊C₄×C₅₃	—	2	4	no	—
371	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
383	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
384	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
385	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
386	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
387	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
388	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
389	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
390	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
391	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
392	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
393	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
394	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
395	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
396	#95×C₅₃	C₂³	1	1	yes	characteristic, complemented
397	C₂⁴×C₅₃	—	2	2	no	—
398	C₂⁴×C₅₃	—	2	2	no	—
399	C₂⁴×C₅₃	—	2	2	no	—
400	C₂⁴×C₅₃	—	2	2	no	—
401	C₂⁴×C₅₃	—	2	2	no	—
402	C₂⁴×C₅₃	—	4	1	no	—
403	C₂⁴×C₅₃	—	4	1	no	—
404	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
405	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
406	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
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	32	no	—
412	C₂³×D₅₃	—	2	2	no	—
413	C₂³×D₅₃	—	2	2	no	—
414	C₂³×D₅₃	—	2	2	no	—
415	C₂³×D₅₃	—	2	2	no	—
416	C₂³×D₅₃	—	2	2	no	—
417	C₂³×D₅₃	—	2	2	no	—
418	C₂³×D₅₃	—	2	2	no	—
419	C₂³×D₅₃	—	2	2	no	—
420	C₂³×D₅₃	—	2	2	no	—
421	C₂³×D₅₃	—	2	2	no	—
422	C₂³×D₅₃	—	2	2	no	—
423	C₂³×D₅₃	—	2	2	no	—
424	C₂³×D₅₃	—	2	2	no	—
425	C₂³×D₅₃	—	2	2	no	—
426	C₂³×D₅₃	—	2	2	no	—
427	C₂³×D₅₃	—	2	2	no	—
428	C₂³×D₅₃	—	2	2	no	—
429	C₂³×D₅₃	—	2	2	no	—
430	C₂³×D₅₃	—	2	2	no	—
431	C₂³×D₅₃	—	2	2	no	—
432	C₂³×D₅₃	—	2	2	no	—
433	C₂³×D₅₃	—	2	2	no	—
434	C₂³×D₅₃	—	2	2	no	—
435	C₂³×D₅₃	—	2	2	no	—
436	C₂³×D₅₃	—	2	2	no	—
437	C₂³×D₅₃	—	2	2	no	—
438	C₂³×D₅₃	—	2	2	no	—
439	C₂³×D₅₃	—	4	1	no	—
440	C₂³×D₅₃	—	4	1	no	—
441	C₂³×D₅₃	—	4	1	no	—
442	C₂³×D₅₃	—	4	1	no	—
443	C₂³×D₅₃	—	4	1	no	—
444	C₂³×D₅₃	—	4	1	no	—
445	C₂³×D₅₃	—	4	16	no	—
446	C₂³×D₅₃	—	4	16	no	—
447	C₂³×D₅₃	—	4	16	no	—
448	C₂³×D₅₃	—	4	16	no	—
449	C₂³×D₅₃	—	4	16	no	—
450	C₂³×D₅₃	—	4	16	no	—
451	C₂³×D₅₃	C₂×D₄	1	4	yes	—
452	C₂³×D₅₃	#41	1	4	yes	—
453	C₂³×D₅₃	#41	1	4	yes	—
454	C₂³×D₅₃	#41	1	4	yes	—
455	C₂³×D₅₃	#41	1	4	yes	—
456	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
457	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
458	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
459	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₅₃	—	2	2	no	—
461	C₂²×C₄×C₅₃	—	2	2	no	—
462	C₂²×C₄×C₅₃	—	2	2	no	—
463	C₂²×C₄×C₅₃	—	2	2	no	—
464	C₂²×C₄×C₅₃	—	4	1	no	—
465	C₂²×C₄×C₅₃	—	4	1	no	—
466	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
478	C₂²×Dic₅₃	—	2	2	no	—
479	C₂²×Dic₅₃	—	2	2	no	—
480	C₂²×Dic₅₃	—	2	2	no	—
481	C₂²×Dic₅₃	—	2	2	no	—
482	C₂²×Dic₅₃	—	4	1	no	—
483	C₂²×Dic₅₃	—	4	1	no	—
484	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
485	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
486	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
487	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
488	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
489	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
490	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
491	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
492	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₅₃	—	2	2	no	—
497	C₂×C₄×D₅₃	—	2	2	no	—
498	C₂×C₄×D₅₃	—	2	2	no	—
499	C₂×C₄×D₅₃	—	2	2	no	—
500	C₂×C₄×D₅₃	—	2	2	no	—
501	C₂×C₄×D₅₃	—	2	2	no	—
502	C₂×C₄×D₅₃	—	2	2	no	—
503	C₂×C₄×D₅₃	—	2	2	no	—
504	C₂×C₄×D₅₃	—	2	2	no	—
505	C₂×C₄×D₅₃	—	2	2	no	—
506	C₂×C₄×D₅₃	—	2	2	no	—
507	C₂×C₄×D₅₃	—	2	2	no	—
508	C₂×C₄×D₅₃	—	2	2	no	—
509	C₂×C₄×D₅₃	—	2	2	no	—
510	C₂×C₄×D₅₃	—	2	2	no	—
511	C₂×C₄×D₅₃	—	2	2	no	—
512	C₂×C₄×D₅₃	—	2	2	no	—
513	C₂×C₄×D₅₃	—	2	2	no	—
514	C₂×C₄×D₅₃	—	2	2	no	—
515	C₂×C₄×D₅₃	—	2	2	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	—	2	2	no	—
521	C₂×C₄×D₅₃	—	2	2	no	—
522	C₂×C₄×D₅₃	—	2	2	no	—
523	C₂×C₄×D₅₃	—	2	2	no	—
524	C₂×C₄×D₅₃	—	2	2	no	—
525	C₂×C₄×D₅₃	—	2	2	no	—
526	C₂×C₄×D₅₃	—	2	2	no	—
527	C₂×C₄×D₅₃	—	2	2	no	—
528	C₂×C₄×D₅₃	—	2	2	no	—
529	C₂×C₄×D₅₃	—	2	2	no	—
530	C₂×C₄×D₅₃	—	2	2	no	—
531	C₂×C₄×D₅₃	—	2	2	no	—
532	C₂×C₄×D₅₃	—	2	2	no	—
533	C₂×C₄×D₅₃	—	2	2	no	—
534	C₂×C₄×D₅₃	—	2	2	no	—
535	C₂×C₄×D₅₃	—	2	2	no	—
536	C₂×C₄×D₅₃	—	2	2	no	—
537	C₂×C₄×D₅₃	—	2	2	no	—
538	C₂×C₄×D₅₃	—	4	16	no	—
539	C₂×C₄×D₅₃	—	4	16	no	—
540	C₂×C₄×D₅₃	—	4	1	no	—
541	C₂×C₄×D₅₃	—	4	1	no	—
542	C₂×C₄×D₅₃	—	4	1	no	—
543	C₂×C₄×D₅₃	—	4	1	no	—
544	C₂×C₄×D₅₃	C₂×D₄	1	4	yes	—
545	C₂×C₄×D₅₃	C₂×D₄	1	4	yes	—
546	C₄⋊C₄×C₅₃	—	2	2	no	—
547	C₄⋊C₄×C₅₃	—	2	2	no	—
548	C₄⋊C₄×C₅₃	—	2	2	no	—
549	C₄⋊C₄×C₅₃	—	4	1	no	—
550	C₄⋊C₄×C₅₃	—	4	1	no	—
551	C₄⋊C₄×C₅₃	—	4	1	no	—
552	C₂²⋊C₄×C₅₃	—	2	2	no	—
553	C₂²⋊C₄×C₅₃	—	2	2	no	—
554	C₂²⋊C₄×C₅₃	—	2	2	no	—
555	C₂²⋊C₄×C₅₃	—	2	2	no	—
556	C₂²⋊C₄×C₅₃	—	2	2	no	—
557	C₂²⋊C₄×C₅₃	—	2	2	no	—
558	C₂²⋊C₄×C₅₃	—	2	2	no	—
559	C₂²⋊C₄×C₅₃	—	2	2	no	—
560	C₂²⋊C₄×C₅₃	—	2	2	no	—
561	C₂²⋊C₄×C₅₃	—	2	2	no	—
562	C₂²⋊C₄×C₅₃	—	2	2	no	—
563	C₂²⋊C₄×C₅₃	—	4	1	no	—
564	C₂²⋊C₄×C₅₃	—	4	1	no	—
565	C₂²⋊C₄×C₅₃	—	4	1	no	—
566	C₂²⋊C₄×C₅₃	—	4	1	no	—
567	C₂²⋊C₄×C₅₃	C₂×D₄	1	4	yes	—
568	C₄²×C₅₃	—	2	2	no	—
569	C₄²×C₅₃	—	4	1	no	—
570	C₂²⋊Dic₅₃	—	2	2	no	—
571	C₂²⋊Dic₅₃	—	2	2	no	—
572	C₂²⋊Dic₅₃	—	2	2	no	—
573	C₂²⋊Dic₅₃	—	2	2	no	—
574	C₂²⋊Dic₅₃	—	2	2	no	—
575	C₂²⋊Dic₅₃	—	2	2	no	—
576	C₂²⋊Dic₅₃	—	2	2	no	—
577	C₂²⋊Dic₅₃	—	2	2	no	—
578	C₂²⋊Dic₅₃	—	2	2	no	—
579	C₂²⋊Dic₅₃	—	2	2	no	—
580	C₂²⋊Dic₅₃	—	2	2	no	—
581	C₂²⋊Dic₅₃	—	4	1	no	—
582	C₂²⋊Dic₅₃	—	4	1	no	—
583	C₂²⋊Dic₅₃	—	4	1	no	—
584	C₂²⋊Dic₅₃	—	4	1	no	—
585	C₂²⋊Dic₅₃	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
595	#11719921	—	2	2	no	—
596	#11719921	—	2	2	no	—
597	#11719921	—	2	2	no	—
598	#11719921	—	2	2	no	—
599	#11719921	—	2	2	no	—
600	#11719921	—	2	2	no	—
601	#11719921	—	2	2	no	—
602	#11719921	—	2	2	no	—
603	#11719921	—	2	2	no	—
604	#11719921	—	2	2	no	—
605	#11719921	—	2	2	no	—
606	#11719921	—	2	2	no	—
607	#11719921	—	2	2	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	C₂×D₄	1	4	yes	—
617	#11719921	C₂×D₄	1	4	yes	—
618	C₄⋊Dic₅₃	—	2	2	no	—
619	C₄⋊Dic₅₃	—	2	2	no	—
620	C₄⋊Dic₅₃	—	2	2	no	—
621	C₄⋊Dic₅₃	—	4	1	no	—
622	C₄⋊Dic₅₃	—	4	1	no	—
623	C₄⋊Dic₅₃	—	4	1	no	—
624	#11719919	—	2	2	no	—
625	#11719919	—	2	2	no	—
626	#11719919	—	2	2	no	—
627	#11719919	—	2	2	no	—
628	#11719919	—	2	2	no	—
629	#11719919	—	2	2	no	—
630	#11719919	—	4	1	no	—
631	#11719919	—	4	1	no	—
632	#11719919	—	4	1	no	—
633	#11719919	—	4	1	no	—
634	#11719919	—	4	1	no	—
635	#11719919	—	4	1	no	—
636	C₄×Dic₅₃	—	2	2	no	—
637	C₄×Dic₅₃	—	2	2	no	—
638	C₄×Dic₅₃	—	2	2	no	—
639	C₄×Dic₅₃	—	4	1	no	—
640	C₄×Dic₅₃	—	4	1	no	—
641	C₄×Dic₅₃	—	4	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	8	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	—	4	4	no	—
660	C₂³×C₅₃	—	4	4	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	C₂²×D₄	1	2	yes	—
666	C₂³×C₅₃	C₂×#41	1	2	yes	—
667	C₂³×C₅₃	C₂×#41	1	2	yes	—
668	C₂³×C₅₃	C₂×#41	1	2	yes	—
669	C₂³×C₅₃	C₂×#41	1	2	yes	—
670	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
671	C₂²×D₅₃	—	2	1	no	—
672	C₂²×D₅₃	—	2	1	no	—
673	C₂²×D₅₃	—	2	1	no	—
674	C₂²×D₅₃	—	2	1	no	—
675	C₂²×D₅₃	—	2	8	no	—
676	C₂²×D₅₃	—	2	8	no	—
677	C₂²×D₅₃	—	2	8	no	—
678	C₂²×D₅₃	—	2	8	no	—
679	C₂²×D₅₃	—	2	8	no	—
680	C₂²×D₅₃	—	2	8	no	—
681	C₂²×D₅₃	—	2	8	no	—
682	C₂²×D₅₃	—	2	8	no	—
683	C₂²×D₅₃	—	2	8	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	8	no	—
698	C₂²×D₅₃	—	2	8	no	—
699	C₂²×D₅₃	—	2	8	no	—
700	C₂²×D₅₃	—	2	8	no	—
701	C₂²×D₅₃	—	2	8	no	—
702	C₂²×D₅₃	—	4	4	no	—
703	C₂²×D₅₃	—	4	4	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	128	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	#126	1	16	yes	complemented
730	C₂²×D₅₃	C₂²×D₄	1	2	yes	—
731	C₂²×D₅₃	C₂²×D₄	1	2	yes	—
732	C₂²×D₅₃	C₂×#41	1	2	yes	—
733	C₂²×D₅₃	C₂×#41	1	2	yes	—
734	C₂²×D₅₃	C₂×#41	1	2	yes	—
735	C₂²×D₅₃	C₂×#41	1	2	yes	—
736	C₂²×D₅₃	C₂×#41	1	2	yes	—
737	C₂²×D₅₃	C₂×#41	1	2	yes	—
738	C₂²×D₅₃	C₂×#41	1	2	yes	—
739	C₂²×D₅₃	C₂×#41	1	2	yes	—
740	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
741	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
742	C₂×C₄×C₅₃	—	2	1	no	—
743	C₂×C₄×C₅₃	—	2	1	no	—
744	C₂×C₄×C₅₃	—	2	1	no	—
745	C₂×C₄×C₅₃	—	2	1	no	—
746	C₂×C₄×C₅₃	—	2	1	no	—
747	C₂×C₄×C₅₃	—	2	1	no	—
748	C₂×C₄×C₅₃	—	2	1	no	—
749	C₂×C₄×C₅₃	—	2	1	no	—
750	C₂×C₄×C₅₃	—	2	1	no	—
751	C₂×C₄×C₅₃	—	2	1	no	—
752	C₂×C₄×C₅₃	—	2	1	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	—	4	4	no	—
777	C₂×C₄×C₅₃	—	4	4	no	—
778	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
779	C₂×C₄×C₅₃	C₂²×D₄	1	2	yes	—
780	C₂×Dic₅₃	—	2	1	no	—
781	C₂×Dic₅₃	—	2	1	no	—
782	C₂×Dic₅₃	—	2	1	no	—
783	C₂×Dic₅₃	—	2	1	no	—
784	C₂×Dic₅₃	—	2	1	no	—
785	C₂×Dic₅₃	—	2	1	no	—
786	C₂×Dic₅₃	—	2	1	no	—
787	C₂×Dic₅₃	—	2	1	no	—
788	C₂×Dic₅₃	—	2	1	no	—
789	C₂×Dic₅₃	—	2	1	no	—
790	C₂×Dic₅₃	—	2	1	no	—
791	C₂×Dic₅₃	—	2	1	no	—
792	C₂×Dic₅₃	—	2	1	no	—
793	C₂×Dic₅₃	—	2	1	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	—	4	4	no	—
815	C₂×Dic₅₃	—	4	4	no	—
816	C₂×Dic₅₃	C₂²×D₄	1	2	yes	—
817	C₂×Dic₅₃	C₂²×D₄	1	2	yes	—
818	C₄×D₅₃	—	2	8	no	—
819	C₄×D₅₃	—	2	8	no	—
820	C₄×D₅₃	—	4	4	no	—
821	C₄×D₅₃	—	4	4	no	—
822	C₄×D₅₃	—	4	4	no	—
823	C₄×D₅₃	—	4	4	no	—
824	C₄×D₅₃	—	4	4	no	—
825	C₄×D₅₃	—	4	4	no	—
826	C₄×D₅₃	—	4	4	no	—
827	C₄×D₅₃	—	4	4	no	—
828	C₄×D₅₃	—	4	4	no	—
829	C₄×D₅₃	—	4	4	no	—
830	C₄×D₅₃	—	4	4	no	—
831	C₄×D₅₃	—	4	4	no	—
832	C₄×D₅₃	—	4	4	no	—
833	C₄×D₅₃	—	4	4	no	—
834	C₂×#2480	—	53	1	no	maximal, Sylow
835	C₂²×C₅₃	—	2	2	no	—
836	C₂²×C₅₃	—	2	2	no	—
837	C₂²×C₅₃	—	2	2	no	—
838	C₂²×C₅₃	—	2	2	no	—
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	—	4	16	no	—
848	C₂²×C₅₃	—	4	1	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	C₂×#126	1	4	yes	complemented
857	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
858	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
859	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
860	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
861	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
862	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
863	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
864	C₂×D₅₃	—	2	2	no	—
865	C₂×D₅₃	—	2	2	no	—
866	C₂×D₅₃	—	2	2	no	—
867	C₂×D₅₃	—	2	2	no	—
868	C₂×D₅₃	—	2	2	no	—
869	C₂×D₅₃	—	2	2	no	—
870	C₂×D₅₃	—	2	32	no	—
871	C₂×D₅₃	—	2	2	no	—
872	C₂×D₅₃	—	2	2	no	—
873	C₂×D₅₃	—	2	2	no	—
874	C₂×D₅₃	—	2	2	no	—
875	C₂×D₅₃	—	2	2	no	—
876	C₂×D₅₃	—	2	2	no	—
877	C₂×D₅₃	—	4	16	no	—
878	C₂×D₅₃	—	4	16	no	—
879	C₂×D₅₃	—	4	16	no	—
880	C₂×D₅₃	—	4	1	no	—
881	C₂×D₅₃	—	4	1	no	—
882	C₂×D₅₃	—	4	1	no	—
883	C₂×D₅₃	—	4	1	no	—
884	C₂×D₅₃	—	4	1	no	—
885	C₂×D₅₃	—	4	1	no	—
886	C₂×D₅₃	—	4	1	no	—
887	C₂×D₅₃	—	4	1	no	—
888	C₂×D₅₃	—	4	16	no	—
889	C₂×D₅₃	—	4	16	no	—
890	C₂×D₅₃	#525	1	4	yes	—
891	C₂×D₅₃	C₂×#126	1	4	yes	—
892	C₂×D₅₃	C₂×#126	1	4	yes	complemented
893	C₂×D₅₃	#538	1	4	yes	—
894	C₂×D₅₃	#546	1	4	yes	—
895	C₂×D₅₃	#546	1	4	yes	—
896	C₂×D₅₃	#551	1	4	yes	—
897	C₂×D₅₃	#551	1	4	yes	—
898	C₄×C₅₃	—	2	2	no	—
899	C₄×C₅₃	—	2	2	no	—
900	C₄×C₅₃	—	4	1	no	—
901	C₄×C₅₃	—	4	1	no	—
902	C₄×C₅₃	—	4	1	no	—
903	C₄×C₅₃	—	4	1	no	—
904	C₄×C₅₃	—	4	1	no	—
905	C₄×C₅₃	—	4	1	no	—
906	C₄×C₅₃	—	4	1	no	—
907	C₄×C₅₃	—	4	1	no	—
908	C₄×C₅₃	—	4	1	no	—
909	C₄×C₅₃	—	4	1	no	—
910	Dic₅₃	—	2	2	no	—
911	Dic₅₃	—	2	2	no	—
912	Dic₅₃	—	4	1	no	—
913	Dic₅₃	—	4	1	no	—
914	Dic₅₃	—	4	1	no	—
915	Dic₅₃	—	4	1	no	—
916	Dic₅₃	—	4	1	no	—
917	Dic₅₃	—	4	1	no	—
918	Dic₅₃	—	4	1	no	—
919	Dic₅₃	—	4	1	no	—
920	Dic₅₃	—	4	1	no	—
921	Dic₅₃	—	4	1	no	—
922	C₂²×#126	—	53	1	no	—
923	C₂³×C₂²⋊C₄	—	53	1	no	—
924	#2480	—	53	1	no	—
925	#2480	—	53	1	no	—
926	#2480	—	53	1	no	—
927	#2480	—	53	1	no	—
928	#2480	—	53	1	no	—
929	#2480	—	53	1	no	—
930	#2480	—	53	1	no	—
931	#2480	—	53	1	no	—
932	#2480	—	53	1	no	—
933	#2480	—	53	1	no	—
934	#2480	—	53	1	no	—
935	#2480	—	53	1	no	—
936	#2480	—	53	1	no	—
937	#2480	—	53	1	no	—
938	#2480	—	53	1	no	—
939	#2480	D₅₃	1	1	yes	characteristic, direct product factor
940	C₂×#397	—	53	1	no	—
941	C₂×#397	—	53	1	no	—
942	C₂×#397	—	53	1	no	—
943	C₂×#396	—	53	1	no	—
944	C₂×#388	—	53	1	no	—
945	C₂×#388	—	53	1	no	—
946	C₂×#388	—	53	1	no	—
947	C₂×#385	—	53	1	no	—
948	C₂×#385	—	53	1	no	—
949	C₂×#380	—	53	1	no	—
950	C₂×#379	—	53	1	no	—
951	C₂×#379	—	53	1	no	—
952	C₂×C₄×C₂²⋊C₄	—	53	1	no	—
953	C₂×C₅₃	—	2	4	no	—
954	C₂×C₅₃	—	4	2	no	—
955	C₂×C₅₃	—	4	2	no	—
956	C₂×C₅₃	C₂×#525	1	1	yes	characteristic
957	C₂×C₅₃	C₂²×#126	1	1	yes	characteristic
958	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
959	C₂×C₅₃	C₂×#546	1	1	yes	characteristic
960	C₂×C₅₃	C₂×#546	1	1	yes	characteristic
961	C₂×C₅₃	C₂×#551	1	1	yes	characteristic
962	C₂×C₅₃	C₂×#551	1	1	yes	characteristic
963	D₅₃	—	2	4	no	—
964	D₅₃	—	4	2	no	—
965	D₅₃	—	4	2	no	—
966	D₅₃	#2480	1	8	yes	direct product factor
967	C₂⁶	—	53	1	no	—
968	C₂⁴×C₄	—	53	1	no	—
969	C₂⁴×C₄	—	53	1	no	—
970	C₂×#126	—	53	1	no	—
971	C₂×#126	—	53	1	no	—
972	C₂×#126	—	53	1	no	—
973	C₂×#126	—	53	1	no	—
974	C₂×#126	—	53	1	no	—
975	C₂×#126	—	53	1	no	—
976	C₂×#126	—	53	1	no	—
977	C₂×#126	—	106	8	no	—
978	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
979	C₂²×C₄⋊C₄	—	53	1	no	—
980	C₂²×C₄⋊C₄	—	53	1	no	—
981	C₂²×C₄⋊C₄	—	53	1	no	—
982	C₂²×C₄⋊C₄	—	53	1	no	—
983	C₂²×C₄⋊C₄	—	53	1	no	—
984	C₂²×C₄⋊C₄	—	53	1	no	—
985	C₂²×C₂²⋊C₄	—	53	1	no	—
986	C₂²×C₂²⋊C₄	—	53	1	no	—
987	C₂²×C₂²⋊C₄	—	53	1	no	—
988	C₂²×C₂²⋊C₄	—	53	1	no	—
989	C₂²×C₂²⋊C₄	—	53	1	no	—
990	C₂²×C₂²⋊C₄	—	53	1	no	—
991	C₂²×C₂²⋊C₄	—	53	1	no	—
992	C₂²×C₂²⋊C₄	—	53	1	no	—
993	C₂²×C₂²⋊C₄	—	53	1	no	—
994	C₂²×C₂²⋊C₄	—	53	1	no	—
995	C₂²×C₂²⋊C₄	—	53	1	no	—
996	C₂²×C₂²⋊C₄	—	53	1	no	—
997	C₂²×C₂²⋊C₄	—	53	1	no	—
998	C₂²×C₂²⋊C₄	—	53	1	no	—
999	C₂²×C₂²⋊C₄	—	53	1	no	—
1000	C₂²×C₂²⋊C₄	—	53	1	no	—
1001	C₂²×C₂²⋊C₄	—	53	1	no	—
1002	C₂²×C₂²⋊C₄	—	53	1	no	—
1003	C₂²×C₂²⋊C₄	—	53	1	no	—
1004	C₂²×C₂²⋊C₄	—	53	1	no	—
1005	C₂²×C₂²⋊C₄	—	53	1	no	—
1006	C₂²×C₂²⋊C₄	—	53	1	no	—
1007	C₂²×C₂²⋊C₄	—	53	1	no	—
1008	C₂²×C₂²⋊C₄	—	106	8	no	—
1009	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1010	C₂²×C₄²	—	53	1	no	—
1011	C₂²×C₄²	—	53	1	no	—
1012	#397	—	53	1	no	—
1013	#397	—	53	1	no	—
1014	#397	—	53	1	no	—
1015	#397	—	53	1	no	—
1016	#397	—	53	1	no	—
1017	#397	—	53	1	no	—
1018	#397	—	53	1	no	—
1019	#397	—	53	1	no	—
1020	#397	—	53	1	no	—
1021	#397	—	53	1	no	—
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	C₂×D₅₃	1	1	yes	characteristic, complemented
1034	#397	C₂×D₅₃	1	1	yes	characteristic, complemented
1035	#397	C₂×D₅₃	1	1	yes	characteristic, complemented
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	—	53	1	no	—
1042	#396	—	53	1	no	—
1043	#396	C₂×D₅₃	1	1	yes	characteristic, complemented
1044	#388	—	53	1	no	—
1045	#388	—	53	1	no	—
1046	#388	—	53	1	no	—
1047	#388	—	53	1	no	—
1048	#388	—	53	1	no	—
1049	#388	—	53	1	no	—
1050	#388	—	53	1	no	—
1051	#388	—	53	1	no	—
1052	#388	—	53	1	no	—
1053	#388	—	53	1	no	—
1054	#388	—	53	1	no	—
1055	#388	—	53	1	no	—
1056	#388	—	53	1	no	—
1057	#388	—	53	1	no	—
1058	#388	—	53	1	no	—
1059	#388	—	53	1	no	—
1060	#388	—	53	1	no	—
1061	#388	—	53	1	no	—
1062	#388	—	53	1	no	—
1063	#388	—	53	1	no	—
1064	#388	—	53	1	no	—
1065	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1066	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1067	#388	C₂×D₅₃	1	1	yes	characteristic, complemented
1068	#385	—	53	1	no	—
1069	#385	—	53	1	no	—
1070	#385	—	53	1	no	—
1071	#385	—	53	1	no	—
1072	#385	—	53	1	no	—
1073	#385	—	53	1	no	—
1074	#385	—	53	1	no	—
1075	#385	—	53	1	no	—
1076	#385	—	53	1	no	—
1077	#385	—	53	1	no	—
1078	#385	—	53	1	no	—
1079	#385	—	53	1	no	—
1080	#385	—	53	1	no	—
1081	#385	—	53	1	no	—
1082	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
1083	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
1084	#380	—	53	1	no	—
1085	#380	—	53	1	no	—
1086	#380	—	53	1	no	—
1087	#380	—	53	1	no	—
1088	#380	—	53	1	no	—
1089	#380	—	53	1	no	—
1090	#380	—	53	1	no	—
1091	#380	C₂×D₅₃	1	1	yes	characteristic, complemented
1092	#379	—	53	1	no	—
1093	#379	—	53	1	no	—
1094	#379	—	53	1	no	—
1095	#379	—	53	1	no	—
1096	#379	—	53	1	no	—
1097	#379	—	53	1	no	—
1098	#379	—	53	1	no	—
1099	#379	—	53	1	no	—
1100	#379	—	53	1	no	—
1101	#379	—	53	1	no	—
1102	#379	—	53	1	no	—
1103	#379	—	53	1	no	—
1104	#379	—	53	1	no	—
1105	#379	—	53	1	no	—
1106	#379	C₂×D₅₃	1	1	yes	characteristic
1107	#379	C₂×D₅₃	1	1	yes	characteristic
1108	C₄×C₂²⋊C₄	—	53	1	no	—
1109	C₄×C₂²⋊C₄	—	53	1	no	—
1110	C₄×C₂²⋊C₄	—	53	1	no	—
1111	C₄×C₂²⋊C₄	—	53	1	no	—
1112	C₄×C₂²⋊C₄	—	53	1	no	—
1113	C₄×C₂²⋊C₄	—	53	1	no	—
1114	C₄×C₂²⋊C₄	—	53	1	no	—
1115	C₄×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1116	C₂×#95	—	53	1	no	—
1117	C₂×#95	—	53	1	no	—
1118	C₂×#95	—	53	1	no	—
1119	C₂×#95	—	53	1	no	—
1120	C₂×#95	—	53	1	no	—
1121	C₂×#95	—	53	1	no	—
1122	C₂×#95	—	53	1	no	—
1123	C₂×#95	—	53	1	no	—
1124	C₅₃	C₂×#2480	1	1	yes	characteristic, complemented, Sylow
1125	C₂⁵	—	53	1	no	—
1126	C₂⁵	—	53	1	no	—
1127	C₂⁵	—	53	1	no	—
1128	C₂⁵	—	53	1	no	—
1129	C₂⁵	—	53	1	no	—
1130	C₂⁵	—	53	1	no	—
1131	C₂⁵	—	106	4	no	—
1132	C₂⁵	—	106	4	no	—
1133	C₂⁵	—	106	4	no	—
1134	C₂⁵	—	106	4	no	—
1135	C₂⁵	—	106	4	no	—
1136	C₂⁵	—	212	2	no	—
1137	C₂⁵	—	212	2	no	—
1138	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1139	C₂³×C₄	—	53	1	no	—
1140	C₂³×C₄	—	53	1	no	—
1141	C₂³×C₄	—	53	1	no	—
1142	C₂³×C₄	—	53	1	no	—
1143	C₂³×C₄	—	53	1	no	—
1144	C₂³×C₄	—	53	1	no	—
1145	C₂³×C₄	—	53	1	no	—
1146	C₂³×C₄	—	53	1	no	—
1147	C₂³×C₄	—	53	1	no	—
1148	C₂³×C₄	—	53	1	no	—
1149	C₂³×C₄	—	53	1	no	—
1150	C₂³×C₄	—	53	1	no	—
1151	C₂³×C₄	—	53	1	no	—
1152	C₂³×C₄	—	53	1	no	—
1153	C₂³×C₄	—	53	1	no	—
1154	C₂³×C₄	—	53	1	no	—
1155	C₂³×C₄	—	53	1	no	—
1156	C₂³×C₄	—	53	1	no	—
1157	C₂³×C₄	—	106	4	no	—
1158	C₂³×C₄	—	106	4	no	—
1159	C₂³×C₄	—	106	4	no	—
1160	C₂³×C₄	—	106	4	no	—
1161	C₂³×C₄	—	212	2	no	—
1162	C₂³×C₄	—	212	2	no	—
1163	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1164	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1165	#126	—	2	4	no	—
1166	#126	—	106	4	no	—
1167	#126	—	106	4	no	—
1168	#126	—	106	4	no	—
1169	#126	—	106	4	no	—
1170	#126	—	106	4	no	—
1171	#126	—	106	4	no	—
1172	#126	—	106	4	no	—
1173	C₂×C₄⋊C₄	—	53	1	no	—
1174	C₂×C₄⋊C₄	—	53	1	no	—
1175	C₂×C₄⋊C₄	—	53	1	no	—
1176	C₂×C₄⋊C₄	—	53	1	no	—
1177	C₂×C₄⋊C₄	—	53	1	no	—
1178	C₂×C₄⋊C₄	—	53	1	no	—
1179	C₂×C₄⋊C₄	—	53	1	no	—
1180	C₂×C₄⋊C₄	—	53	1	no	—
1181	C₂×C₄⋊C₄	—	53	1	no	—
1182	C₂×C₄⋊C₄	—	53	1	no	—
1183	C₂×C₄⋊C₄	—	53	1	no	—
1184	C₂×C₄⋊C₄	—	53	1	no	—
1185	C₂×C₄⋊C₄	—	53	1	no	—
1186	C₂×C₄⋊C₄	—	53	1	no	—
1187	C₂×C₄⋊C₄	—	53	1	no	—
1188	C₂×C₄⋊C₄	—	53	1	no	—
1189	C₂×C₄⋊C₄	—	53	1	no	—
1190	C₂×C₄⋊C₄	—	53	1	no	—
1191	C₂×C₄⋊C₄	—	106	4	no	—
1192	C₂×C₄⋊C₄	—	106	4	no	—
1193	C₂×C₄⋊C₄	—	106	4	no	—
1194	C₂×C₄⋊C₄	—	212	2	no	—
1195	C₂×C₄⋊C₄	—	212	2	no	—
1196	C₂×C₄⋊C₄	—	212	2	no	—
1197	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1198	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1199	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1200	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1201	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1202	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1203	C₂×C₂²⋊C₄	—	2	4	no	—
1204	C₂×C₂²⋊C₄	—	53	1	no	—
1205	C₂×C₂²⋊C₄	—	53	1	no	—
1206	C₂×C₂²⋊C₄	—	53	1	no	—
1207	C₂×C₂²⋊C₄	—	53	8	no	—
1208	C₂×C₂²⋊C₄	—	53	1	no	—
1209	C₂×C₂²⋊C₄	—	53	1	no	—
1210	C₂×C₂²⋊C₄	—	53	1	no	—
1211	C₂×C₂²⋊C₄	—	53	1	no	—
1212	C₂×C₂²⋊C₄	—	53	1	no	—
1213	C₂×C₂²⋊C₄	—	53	1	no	—
1214	C₂×C₂²⋊C₄	—	53	1	no	—
1215	C₂×C₂²⋊C₄	—	53	1	no	—
1216	C₂×C₂²⋊C₄	—	53	1	no	—
1217	C₂×C₂²⋊C₄	—	53	1	no	—
1218	C₂×C₂²⋊C₄	—	53	1	no	—
1219	C₂×C₂²⋊C₄	—	53	1	no	—
1220	C₂×C₂²⋊C₄	—	53	1	no	—
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	—	106	4	no	—
1254	C₂×C₂²⋊C₄	—	106	4	no	—
1255	C₂×C₂²⋊C₄	—	106	4	no	—
1256	C₂×C₂²⋊C₄	—	106	4	no	—
1257	C₂×C₂²⋊C₄	—	106	4	no	—
1258	C₂×C₂²⋊C₄	—	106	4	no	—
1259	C₂×C₂²⋊C₄	—	106	4	no	—
1260	C₂×C₂²⋊C₄	—	106	4	no	—
1261	C₂×C₂²⋊C₄	—	106	4	no	—
1262	C₂×C₂²⋊C₄	—	106	4	no	—
1263	C₂×C₂²⋊C₄	—	106	4	no	—
1264	C₂×C₂²⋊C₄	—	106	4	no	—
1265	C₂×C₂²⋊C₄	—	106	4	no	—
1266	C₂×C₂²⋊C₄	—	106	4	no	—
1267	C₂×C₂²⋊C₄	—	106	4	no	—
1268	C₂×C₂²⋊C₄	—	106	4	no	—
1269	C₂×C₂²⋊C₄	—	106	4	no	—
1270	C₂×C₂²⋊C₄	—	106	4	no	—
1271	C₂×C₂²⋊C₄	—	212	2	no	—
1272	C₂×C₂²⋊C₄	—	212	2	no	—
1273	C₂×C₂²⋊C₄	—	212	2	no	—
1274	C₂×C₂²⋊C₄	—	212	2	no	—
1275	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1276	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1277	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1278	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1279	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1280	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1281	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1282	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1283	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1284	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1285	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
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×C₄²	—	53	1	no	—
1292	C₂×C₄²	—	53	1	no	—
1293	C₂×C₄²	—	53	1	no	—
1294	C₂×C₄²	—	53	1	no	—
1295	C₂×C₄²	—	53	1	no	—
1296	C₂×C₄²	—	53	1	no	—
1297	C₂×C₄²	—	106	4	no	—
1298	C₂×C₄²	—	212	2	no	—
1299	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1300	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1301	#95	—	53	1	no	—
1302	#95	—	53	1	no	—
1303	#95	—	53	1	no	—
1304	#95	—	53	1	no	—
1305	#95	—	53	1	no	—
1306	#95	—	53	1	no	—
1307	#95	—	53	1	no	—
1308	#95	—	53	1	no	—
1309	#95	—	53	1	no	—
1310	#95	—	53	1	no	—
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	C₂²×D₅₃	1	1	yes	characteristic, complemented
1326	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1327	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1328	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1329	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1330	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1331	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1332	#95	C₂²×D₅₃	1	1	yes	characteristic, complemented
1333	C₂⁴	—	2	2	no	—
1334	C₂⁴	—	2	2	no	—
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	—	53	1	no	—
1341	C₂⁴	—	53	4	no	—
1342	C₂⁴	—	53	4	no	—
1343	C₂⁴	—	53	4	no	—
1344	C₂⁴	—	53	1	no	—
1345	C₂⁴	—	53	4	no	—
1346	C₂⁴	—	53	4	no	—
1347	C₂⁴	—	53	1	no	—
1348	C₂⁴	—	53	1	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	—	106	2	no	—
1370	C₂⁴	—	106	2	no	—
1371	C₂⁴	—	106	2	no	—
1372	C₂⁴	—	106	2	no	—
1373	C₂⁴	—	106	2	no	—
1374	C₂⁴	—	106	2	no	—
1375	C₂⁴	—	106	32	no	—
1376	C₂⁴	—	106	2	no	—
1377	C₂⁴	—	106	2	no	—
1378	C₂⁴	—	106	2	no	—
1379	C₂⁴	—	106	2	no	—
1380	C₂⁴	—	106	2	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	16	no	—
1388	C₂⁴	—	212	16	no	—
1389	C₂⁴	—	212	16	no	—
1390	C₂⁴	—	212	16	no	—
1391	C₂⁴	—	212	16	no	—
1392	C₂⁴	—	212	16	no	—
1393	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1394	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1395	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1396	C₂²×C₄	—	2	2	no	—
1397	C₂²×C₄	—	2	2	no	—
1398	C₂²×C₄	—	2	2	no	—
1399	C₂²×C₄	—	2	2	no	—
1400	C₂²×C₄	—	4	1	no	—
1401	C₂²×C₄	—	4	1	no	—
1402	C₂²×C₄	—	53	1	no	—
1403	C₂²×C₄	—	53	1	no	—
1404	C₂²×C₄	—	53	4	no	—
1405	C₂²×C₄	—	53	4	no	—
1406	C₂²×C₄	—	53	1	no	—
1407	C₂²×C₄	—	53	1	no	—
1408	C₂²×C₄	—	53	1	no	—
1409	C₂²×C₄	—	53	1	no	—
1410	C₂²×C₄	—	53	1	no	—
1411	C₂²×C₄	—	53	1	no	—
1412	C₂²×C₄	—	53	1	no	—
1413	C₂²×C₄	—	53	1	no	—
1414	C₂²×C₄	—	53	1	no	—
1415	C₂²×C₄	—	53	1	no	—
1416	C₂²×C₄	—	106	2	no	—
1417	C₂²×C₄	—	106	2	no	—
1418	C₂²×C₄	—	106	2	no	—
1419	C₂²×C₄	—	106	2	no	—
1420	C₂²×C₄	—	106	2	no	—
1421	C₂²×C₄	—	106	2	no	—
1422	C₂²×C₄	—	106	2	no	—
1423	C₂²×C₄	—	106	2	no	—
1424	C₂²×C₄	—	106	2	no	—
1425	C₂²×C₄	—	106	2	no	—
1426	C₂²×C₄	—	106	2	no	—
1427	C₂²×C₄	—	106	2	no	—
1428	C₂²×C₄	—	106	2	no	—
1429	C₂²×C₄	—	106	2	no	—
1430	C₂²×C₄	—	106	2	no	—
1431	C₂²×C₄	—	106	2	no	—
1432	C₂²×C₄	—	106	2	no	—
1433	C₂²×C₄	—	106	2	no	—
1434	C₂²×C₄	—	106	2	no	—
1435	C₂²×C₄	—	106	2	no	—
1436	C₂²×C₄	—	106	2	no	—
1437	C₂²×C₄	—	106	2	no	—
1438	C₂²×C₄	—	106	2	no	—
1439	C₂²×C₄	—	106	2	no	—
1440	C₂²×C₄	—	106	2	no	—
1441	C₂²×C₄	—	106	2	no	—
1442	C₂²×C₄	—	106	2	no	—
1443	C₂²×C₄	—	106	2	no	—
1444	C₂²×C₄	—	106	2	no	—
1445	C₂²×C₄	—	106	2	no	—
1446	C₂²×C₄	—	106	2	no	—
1447	C₂²×C₄	—	106	2	no	—
1448	C₂²×C₄	—	106	2	no	—
1449	C₂²×C₄	—	106	2	no	—
1450	C₂²×C₄	—	106	2	no	—
1451	C₂²×C₄	—	106	2	no	—
1452	C₂²×C₄	—	106	2	no	—
1453	C₂²×C₄	—	106	2	no	—
1454	C₂²×C₄	—	106	2	no	—
1455	C₂²×C₄	—	106	2	no	—
1456	C₂²×C₄	—	106	2	no	—
1457	C₂²×C₄	—	106	2	no	—
1458	C₂²×C₄	—	106	2	no	—
1459	C₂²×C₄	—	106	2	no	—
1460	C₂²×C₄	—	106	2	no	—
1461	C₂²×C₄	—	106	2	no	—
1462	C₂²×C₄	—	212	1	no	—
1463	C₂²×C₄	—	212	1	no	—
1464	C₂²×C₄	—	212	1	no	—
1465	C₂²×C₄	—	212	1	no	—
1466	C₂²×C₄	—	212	16	no	—
1467	C₂²×C₄	—	212	16	no	—
1468	C₂²×C₄	—	212	1	no	—
1469	C₂²×C₄	—	212	1	no	—
1470	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1471	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1472	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1473	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1474	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1475	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1476	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1483	C₄⋊C₄	—	2	2	no	—
1484	C₄⋊C₄	—	2	2	no	—
1485	C₄⋊C₄	—	4	1	no	—
1486	C₄⋊C₄	—	4	1	no	—
1487	C₄⋊C₄	—	4	1	no	—
1488	C₄⋊C₄	—	106	2	no	—
1489	C₄⋊C₄	—	106	2	no	—
1490	C₄⋊C₄	—	106	2	no	—
1491	C₄⋊C₄	—	106	2	no	—
1492	C₄⋊C₄	—	106	2	no	—
1493	C₄⋊C₄	—	106	2	no	—
1494	C₄⋊C₄	—	106	2	no	—
1495	C₄⋊C₄	—	106	2	no	—
1496	C₄⋊C₄	—	106	2	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	—	2	2	no	—
1512	C₂²⋊C₄	—	2	2	no	—
1513	C₂²⋊C₄	—	2	2	no	—
1514	C₂²⋊C₄	—	2	2	no	—
1515	C₂²⋊C₄	—	2	2	no	—
1516	C₂²⋊C₄	—	2	2	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	—	53	4	no	—
1522	C₂²⋊C₄	—	53	4	no	—
1523	C₂²⋊C₄	—	53	4	no	—
1524	C₂²⋊C₄	—	106	2	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	—	106	2	no	—
1547	C₂²⋊C₄	—	106	2	no	—
1548	C₂²⋊C₄	—	106	2	no	—
1549	C₂²⋊C₄	—	106	2	no	—
1550	C₂²⋊C₄	—	106	2	no	—
1551	C₂²⋊C₄	—	106	2	no	—
1552	C₂²⋊C₄	—	106	2	no	—
1553	C₂²⋊C₄	—	106	2	no	—
1554	C₂²⋊C₄	—	106	2	no	—
1555	C₂²⋊C₄	—	106	2	no	—
1556	C₂²⋊C₄	—	106	2	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	D₄×D₅₃	1	4	yes	—
1570	C₄²	—	2	2	no	—
1571	C₄²	—	4	1	no	—
1572	C₄²	—	106	2	no	—
1573	C₄²	—	106	2	no	—
1574	C₄²	—	106	2	no	—
1575	C₄²	—	212	1	no	—
1576	C₄²	—	212	1	no	—
1577	C₄²	—	212	1	no	—
1578	C₂³	—	2	1	no	—
1579	C₂³	—	2	1	no	—
1580	C₂³	—	2	1	no	—
1581	C₂³	—	2	1	no	—
1582	C₂³	—	2	8	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	2	1	no	—
1589	C₂³	—	2	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	—	4	4	no	—
1596	C₂³	—	4	4	no	—
1597	C₂³	—	4	4	no	—
1598	C₂³	—	4	4	no	—
1599	C₂³	—	4	4	no	—
1600	C₂³	—	4	4	no	—
1601	C₂³	—	53	2	no	—
1602	C₂³	—	53	2	no	—
1603	C₂³	—	53	2	no	—
1604	C₂³	—	53	2	no	—
1605	C₂³	—	53	2	no	—
1606	C₂³	—	53	2	no	—
1607	C₂³	—	53	2	no	—
1608	C₂³	—	53	16	no	—
1609	C₂³	—	53	2	no	—
1610	C₂³	—	53	2	no	—
1611	C₂³	—	53	2	no	—
1612	C₂³	—	53	2	no	—
1613	C₂³	—	53	2	no	—
1614	C₂³	—	106	8	no	—
1615	C₂³	—	106	8	no	—
1616	C₂³	—	106	8	no	—
1617	C₂³	—	106	8	no	—
1618	C₂³	—	106	8	no	—
1619	C₂³	—	106	8	no	—
1620	C₂³	—	106	8	no	—
1621	C₂³	—	106	8	no	—
1622	C₂³	—	106	8	no	—
1623	C₂³	—	106	8	no	—
1624	C₂³	—	106	8	no	—
1625	C₂³	—	106	8	no	—
1626	C₂³	—	106	8	no	—
1627	C₂³	—	106	8	no	—
1628	C₂³	—	106	8	no	—
1629	C₂³	—	106	1	no	—
1630	C₂³	—	106	1	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	—	212	4	no	—
1646	C₂³	—	212	4	no	—
1647	C₂³	—	212	4	no	—
1648	C₂³	—	212	4	no	—
1649	C₂³	—	212	4	no	—
1650	C₂³	—	212	4	no	—
1651	C₂³	—	212	4	no	—
1652	C₂³	—	212	4	no	—
1653	C₂³	—	212	4	no	—
1654	C₂³	—	212	4	no	—
1655	C₂³	—	212	4	no	—
1656	C₂³	—	212	4	no	—
1657	C₂³	—	212	4	no	—
1658	C₂³	—	212	4	no	—
1659	C₂³	—	212	4	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	128	no	—
1669	C₂³	—	212	4	no	—
1670	C₂³	—	212	4	no	—
1671	C₂³	—	212	4	no	—
1672	C₂³	C₂×D₄×D₅₃	1	2	yes	—
1673	C₂³	#41×D₅₃	1	2	yes	—
1674	C₂³	#41×D₅₃	1	2	yes	—
1675	C₂³	#41×D₅₃	1	2	yes	—
1676	C₂³	#41×D₅₃	1	2	yes	—
1677	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	1	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	4	4	no	—
1713	C₂×C₄	—	4	4	no	—
1714	C₂×C₄	—	53	2	no	—
1715	C₂×C₄	—	53	2	no	—
1716	C₂×C₄	—	106	8	no	—
1717	C₂×C₄	—	106	8	no	—
1718	C₂×C₄	—	106	1	no	—
1719	C₂×C₄	—	106	1	no	—
1720	C₂×C₄	—	106	1	no	—
1721	C₂×C₄	—	106	1	no	—
1722	C₂×C₄	—	106	1	no	—
1723	C₂×C₄	—	106	1	no	—
1724	C₂×C₄	—	106	1	no	—
1725	C₂×C₄	—	106	1	no	—
1726	C₂×C₄	—	106	1	no	—
1727	C₂×C₄	—	106	1	no	—
1728	C₂×C₄	—	106	1	no	—
1729	C₂×C₄	—	106	1	no	—
1730	C₂×C₄	—	106	1	no	—
1731	C₂×C₄	—	106	1	no	—
1732	C₂×C₄	—	106	1	no	—
1733	C₂×C₄	—	106	1	no	—
1734	C₂×C₄	—	106	1	no	—
1735	C₂×C₄	—	106	1	no	—
1736	C₂×C₄	—	106	1	no	—
1737	C₂×C₄	—	106	1	no	—
1738	C₂×C₄	—	106	1	no	—
1739	C₂×C₄	—	106	1	no	—
1740	C₂×C₄	—	106	1	no	—
1741	C₂×C₄	—	106	1	no	—
1742	C₂×C₄	—	106	1	no	—
1743	C₂×C₄	—	106	1	no	—
1744	C₂×C₄	—	106	1	no	—
1745	C₂×C₄	—	106	1	no	—
1746	C₂×C₄	—	106	1	no	—
1747	C₂×C₄	—	106	1	no	—
1748	C₂×C₄	—	106	1	no	—
1749	C₂×C₄	—	106	1	no	—
1750	C₂×C₄	—	106	1	no	—
1751	C₂×C₄	—	106	1	no	—
1752	C₂×C₄	—	212	4	no	—
1753	C₂×C₄	—	212	4	no	—
1754	C₂×C₄	—	212	4	no	—
1755	C₂×C₄	—	212	4	no	—
1756	C₂×C₄	—	212	4	no	—
1757	C₂×C₄	—	212	4	no	—
1758	C₂×C₄	—	212	4	no	—
1759	C₂×C₄	—	212	4	no	—
1760	C₂×C₄	—	212	4	no	—
1761	C₂×C₄	—	212	4	no	—
1762	C₂×C₄	—	212	4	no	—
1763	C₂×C₄	—	212	4	no	—
1764	C₂×C₄	—	212	4	no	—
1765	C₂×C₄	—	212	4	no	—
1766	C₂×C₄	—	212	4	no	—
1767	C₂×C₄	—	212	4	no	—
1768	C₂×C₄	C₂×D₄×D₅₃	1	2	yes	—
1769	C₂×C₄	C₂×D₄×D₅₃	1	2	yes	—
1770	C₂²	—	2	2	no	—
1771	C₂²	—	2	2	no	—
1772	C₂²	—	2	2	no	—
1773	C₂²	—	2	2	no	—
1774	C₂²	—	2	2	no	—
1775	C₂²	—	2	2	no	—
1776	C₂²	—	2	2	no	—
1777	C₂²	—	2	2	no	—
1778	C₂²	—	2	2	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	4	16	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	53	4	no	—
1792	C₂²	—	53	4	no	—
1793	C₂²	—	53	4	no	—
1794	C₂²	—	53	4	no	—
1795	C₂²	—	53	4	no	—
1796	C₂²	—	53	4	no	—
1797	C₂²	—	53	4	no	—
1798	C₂²	—	53	4	no	—
1799	C₂²	—	106	32	no	—
1800	C₂²	—	106	2	no	—
1801	C₂²	—	106	2	no	—
1802	C₂²	—	106	2	no	—
1803	C₂²	—	106	2	no	—
1804	C₂²	—	106	2	no	—
1805	C₂²	—	106	2	no	—
1806	C₂²	—	106	2	no	—
1807	C₂²	—	106	2	no	—
1808	C₂²	—	106	2	no	—
1809	C₂²	—	106	2	no	—
1810	C₂²	—	106	2	no	—
1811	C₂²	—	106	2	no	—
1812	C₂²	—	212	16	no	—
1813	C₂²	—	212	16	no	—
1814	C₂²	—	212	16	no	—
1815	C₂²	—	212	16	no	—
1816	C₂²	—	212	16	no	—
1817	C₂²	—	212	1	no	—
1818	C₂²	—	212	1	no	—
1819	C₂²	—	212	1	no	—
1820	C₂²	—	212	1	no	—
1821	C₂²	—	212	1	no	—
1822	C₂²	—	212	1	no	—
1823	C₂²	—	212	1	no	—
1824	C₂²	—	212	1	no	—
1825	C₂²	#126×D₅₃	1	4	yes	complemented
1826	C₂²	C₂²×D₄×D₅₃	1	1	yes	characteristic
1827	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1828	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1829	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1830	C₂²	C₂×#41×D₅₃	1	1	yes	characteristic
1831	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1832	C₂²	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1833	C₄	—	2	2	no	—
1834	C₄	—	2	2	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	106	2	no	—
1846	C₄	—	106	2	no	—
1847	C₄	—	212	1	no	—
1848	C₄	—	212	1	no	—
1849	C₄	—	212	1	no	—
1850	C₄	—	212	1	no	—
1851	C₄	—	212	1	no	—
1852	C₄	—	212	1	no	—
1853	C₄	—	212	1	no	—
1854	C₄	—	212	1	no	—
1855	C₄	—	212	1	no	—
1856	C₄	—	212	1	no	—
1857	C₂	—	2	4	no	—
1858	C₂	—	4	2	no	—
1859	C₂	—	4	2	no	—
1860	C₂	—	53	8	no	—
1861	C₂	—	106	4	no	—
1862	C₂	—	212	2	no	—
1863	C₂	—	212	2	no	—
1864	C₂	#525×D₅₃	1	1	yes	characteristic
1865	C₂	C₂×#126×D₅₃	1	1	yes	characteristic
1866	C₂	#538×D₅₃	1	1	yes	characteristic
1867	C₂	#546×D₅₃	1	1	yes	characteristic
1868	C₂	#546×D₅₃	1	1	yes	characteristic
1869	C₂	#551×D₅₃	1	1	yes	characteristic
1870	C₂	#551×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator, socle, cosocle	C₂³×C₅₃	C₂⁵
Fitting	C₅₃×#2480	C₂
prime radical	C₂⁵×D₅₃	C₂²
hypercenter	#2480	D₅₃
hypocenter	C₅₃	C₂×#2480
LCS	G ▷ C₂³×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2480

Complements

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

N	H ≅ G/N	type
1. C₂×#126×D₅₃	C₂	semidirect
3. #20278968	C₂	semidirect
4. #20278967	C₂	semidirect
5. #20278966	C₂	semidirect
6. #20278965	C₂	semidirect
7. #20278964	C₂	semidirect
8. #20278963	C₂	semidirect
9. #20278962	C₂	semidirect
10. #20278961	C₂	semidirect
11. #20278960	C₂	semidirect
12. #20278959	C₂	semidirect
13. #20278958	C₂	semidirect
14. #20278957	C₂	semidirect
15. #20278956	C₂	semidirect
16. #20278955	C₂	semidirect
17. #20278954	C₂	semidirect
18. #397×D₅₃	C₂	semidirect
19. #397×D₅₃	C₂	semidirect
20. #397×D₅₃	C₂	semidirect
21. #396×D₅₃	C₂	semidirect
22. #388×D₅₃	C₂	semidirect
23. #388×D₅₃	C₂	semidirect
24. #388×D₅₃	C₂	semidirect
25. #385×D₅₃	C₂	semidirect
26. #385×D₅₃	C₂	semidirect
27. #380×D₅₃	C₂	semidirect
30. C₄×C₂²⋊C₄×D₅₃	C₂	semidirect
31. C₅₃×#2480	C₂	semidirect
35. C₂×#13133212	C₂²	semidirect
36. C₂×#13133212	C₂²	semidirect
37. C₂×#13133212	C₂²	semidirect
38. C₂×#13133211	C₂²	semidirect
39. C₂×#13133210	C₂²	semidirect
40. C₂×#13133210	C₂²	semidirect
41. C₂×#13133210	C₂²	semidirect
43. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
44. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
45. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
46. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
47. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
48. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
73. C₂×C₄²×D₅₃	C₂²	semidirect
74. C₂×C₄²×D₅₃	C₂²	semidirect
75. #16810552	C₂²	semidirect
76. #16810552	C₂²	semidirect
77. #16810552	C₂²	semidirect
78. #16810552	C₂²	semidirect
79. #16810552	C₂²	semidirect
80. #16810552	C₂²	semidirect
81. #16810551	C₂²	semidirect
82. #16810551	C₂²	semidirect
83. #16810551	C₂²	semidirect
84. #16810551	C₂²	semidirect
85. #16810551	C₂²	semidirect
86. #16810551	C₂²	semidirect
87. #16810550	C₂²	semidirect
88. #16810550	C₂²	semidirect
89. #16810550	C₂²	semidirect
90. #16810549	C₂²	semidirect
91. #16810549	C₂²	semidirect
92. #16810549	C₂²	semidirect
93. #16810548	C₂²	semidirect
94. #16810548	C₂²	semidirect
95. #16810548	C₂²	semidirect
96. #16810547	C₂²	semidirect
97. #16810546	C₂²	semidirect
98. #16810546	C₂²	semidirect
99. #16810546	C₂²	semidirect
100. #16810545	C₂²	semidirect
101. #16810545	C₂²	semidirect
102. #16810545	C₂²	semidirect
103. #16810517	C₂²	semidirect
104. #16810517	C₂²	semidirect
105. #16810517	C₂²	semidirect
106. #16810516	C₂²	semidirect
107. #16810516	C₂²	semidirect
108. #16810516	C₂²	semidirect
109. #16810515	C₂²	semidirect
110. #16810515	C₂²	semidirect
111. #16810515	C₂²	semidirect
112. #16810514	C₂²	semidirect
113. #16810514	C₂²	semidirect
114. #16810514	C₂²	semidirect
115. #16810513	C₂²	semidirect
116. #16810513	C₂²	semidirect
117. #16810513	C₂²	semidirect
118. #16810512	C₂²	semidirect
119. #16810512	C₂²	semidirect
120. #16810512	C₂²	semidirect
121. #16810511	C₂²	semidirect
122. #16810511	C₂²	semidirect
123. #16810511	C₂²	semidirect
124. #16810498	C₂²	semidirect
125. #16810498	C₂²	semidirect
126. #16810497	C₂²	semidirect
127. #16810497	C₂²	semidirect
128. #16810497	C₂²	semidirect
129. #16810497	C₂²	semidirect
130. #16810496	C₂²	semidirect
131. #16810496	C₂²	semidirect
132. #16810495	C₂²	semidirect
133. #16810495	C₂²	semidirect
134. #16810494	C₂²	semidirect
135. #16810494	C₂²	semidirect
136. #16810494	C₂²	semidirect
137. #16810494	C₂²	semidirect
138. #16810483	C₂²	semidirect
139. #16810482	C₂²	semidirect
140. #16810482	C₂²	semidirect
141. #16810481	C₂²	semidirect
142. #16810481	C₂²	semidirect
143. #16810480	C₂²	semidirect
144. #16810480	C₂²	semidirect
159. C₂²⋊C₄×Dic₅₃	C₂²	semidirect
160. C₂²⋊C₄×Dic₅₃	C₂²	semidirect
161. C₄×#11719921	C₂²	semidirect
162. C₄×#11719921	C₂²	semidirect
163. C₄×C₂²⋊Dic₅₃	C₂²	semidirect
164. #16810470	C₂²	semidirect
165. #16810470	C₂²	semidirect
166. #95×D₅₃	C₂²	semidirect
167. #95×D₅₃	C₂²	semidirect
168. #95×D₅₃	C₂²	semidirect
169. #95×D₅₃	C₂²	semidirect
170. #95×D₅₃	C₂²	semidirect
171. #95×D₅₃	C₂²	semidirect
172. #95×D₅₃	C₂²	semidirect
173. #95×D₅₃	C₂²	semidirect
174. C₂×#126×C₅₃	C₂²	semidirect
176. C₅₃×#397	C₂²	semidirect
177. C₅₃×#397	C₂²	semidirect
178. C₅₃×#397	C₂²	semidirect
179. C₅₃×#396	C₂²	semidirect
180. C₅₃×#388	C₂²	semidirect
181. C₅₃×#388	C₂²	semidirect
182. C₅₃×#388	C₂²	semidirect
183. C₅₃×#385	C₂²	semidirect
184. C₅₃×#385	C₂²	semidirect
185. C₅₃×#380	C₂²	semidirect
188. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
233. C₂×C₄⋊Dic₅₃	C₂³	semidirect
234. C₂×C₄⋊Dic₅₃	C₂³	semidirect
235. C₂×C₄⋊Dic₅₃	C₂³	semidirect
236. C₂×C₄⋊Dic₅₃	C₂³	semidirect
237. C₂×C₄⋊Dic₅₃	C₂³	semidirect
238. C₂×C₄⋊Dic₅₃	C₂³	semidirect
239. C₂×#11719919	C₂³	semidirect
240. C₂×#11719919	C₂³	semidirect
241. C₂×#11719919	C₂³	semidirect
242. C₂×#11719919	C₂³	semidirect
243. C₂×#11719919	C₂³	semidirect
244. C₂×#11719919	C₂³	semidirect
245. C₂×#11719919	C₂³	semidirect
246. C₂×#11719919	C₂³	semidirect
247. C₂×#11719919	C₂³	semidirect
248. C₂×#11719919	C₂³	semidirect
249. C₂×#11719919	C₂³	semidirect
250. C₂×#11719919	C₂³	semidirect
328. C₂×C₄×Dic₅₃	C₂³	semidirect
329. C₂×C₄×Dic₅₃	C₂³	semidirect
330. C₂×C₄×Dic₅₃	C₂³	semidirect
331. C₂×C₄×Dic₅₃	C₂³	semidirect
332. C₂×C₄×Dic₅₃	C₂³	semidirect
333. C₂×C₄×Dic₅₃	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
344. #13133124	C₂³	semidirect
345. #13133124	C₂³	semidirect
346. #13133124	C₂³	semidirect
347. #13133124	C₂³	semidirect
348. #13133124	C₂³	semidirect
349. #13133124	C₂³	semidirect
350. #13133124	C₂³	semidirect
351. #13133124	C₂³	semidirect
352. #13133124	C₂³	semidirect
353. #13133124	C₂³	semidirect
354. #13133124	C₂³	semidirect
355. #13133124	C₂³	semidirect
356. #13133124	C₂³	semidirect
357. #13133124	C₂³	semidirect
358. #13133124	C₂³	semidirect
359. #13133124	C₂³	semidirect
364. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
365. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
366. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
367. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
368. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
369. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
387. C₂×C₄²×C₅₃	C₂³	semidirect
388. C₂×C₄²×C₅₃	C₂³	semidirect
389. #95×C₅₃	C₂³	semidirect
390. #95×C₅₃	C₂³	semidirect
391. #95×C₅₃	C₂³	semidirect
392. #95×C₅₃	C₂³	semidirect
393. #95×C₅₃	C₂³	semidirect
394. #95×C₅₃	C₂³	semidirect
395. #95×C₅₃	C₂³	semidirect
396. #95×C₅₃	C₂³	semidirect
729. C₂²×D₅₃	#126	semidirect
856. C₂²×C₅₃	C₂×#126	semidirect
892. C₂×D₅₃	C₂×#126	semidirect
939. #2480	D₅₃	direct (N × H)
966. D₅₃	#2480	direct (N × H)
978. C₂×#126	C₂×D₅₃	semidirect
1033. #397	C₂×D₅₃	semidirect
1034. #397	C₂×D₅₃	semidirect
1035. #397	C₂×D₅₃	semidirect
1043. #396	C₂×D₅₃	semidirect
1065. #388	C₂×D₅₃	semidirect
1066. #388	C₂×D₅₃	semidirect
1067. #388	C₂×D₅₃	semidirect
1082. #385	C₂×D₅₃	semidirect
1083. #385	C₂×D₅₃	semidirect
1091. #380	C₂×D₅₃	semidirect
1115. C₄×C₂²⋊C₄	C₂×D₅₃	semidirect
1124. C₅₃	C₂×#2480	semidirect
1197. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1198. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1199. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1200. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1201. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1202. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1299. C₂×C₄²	C₂²×D₅₃	semidirect
1300. C₂×C₄²	C₂²×D₅₃	semidirect
1325. #95	C₂²×D₅₃	semidirect
1326. #95	C₂²×D₅₃	semidirect
1327. #95	C₂²×D₅₃	semidirect
1328. #95	C₂²×D₅₃	semidirect
1329. #95	C₂²×D₅₃	semidirect
1330. #95	C₂²×D₅₃	semidirect
1331. #95	C₂²×D₅₃	semidirect
1332. #95	C₂²×D₅₃	semidirect
1825. C₂²	#126×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#126×D₅₃	2
C₂²×C₂²⋊C₄×D₅₃	2
#20278968	2
#20278967	2
#20278966	2
#20278965	2
#20278964	2
#20278963	2
#20278962	2
#20278961	2
#20278960	2
#20278959	2
#20278958	2
#20278957	2
#20278956	2
#20278955	2
#20278954	2
#397×D₅₃	2
#396×D₅₃	2
#388×D₅₃	2
#385×D₅₃	2
#380×D₅₃	2
#379×D₅₃	2
C₄×C₂²⋊C₄×D₅₃	2
C₅₃×#2480	2
C₂×#2480	53

Subgroups — D53×#2480 #27551694

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#2480 #27551694