Subgroups — C₅₃×#36776 #27244288

Order 13568.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2847	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2778	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2778	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2760	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2750	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2743	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2703	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2697	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2696	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#2676	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#2668	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2643	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2639	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2510	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#2437	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#2410	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#2410	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#2403	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#2321	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#2308	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic
33	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
41	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
48	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
49	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
50	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
51	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
52	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#401	C₂²	1	1	yes	characteristic, complemented
60	C₅₃×#401	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
62	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
63	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
65	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
66	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
67	C₅₃×#400	C₂²	1	1	yes	characteristic, complemented
68	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
69	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
70	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
73	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
74	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
75	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
76	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
77	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
81	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#394	C₂²	1	1	yes	characteristic
84	C₅₃×#394	C₂²	1	1	yes	characteristic
85	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
86	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
96	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
97	C₅₃×#393	C₂²	1	1	yes	characteristic, complemented
98	C₅₃×#392	C₂²	1	1	yes	characteristic
99	C₅₃×#392	C₂²	1	1	yes	characteristic
100	C₅₃×#392	C₂²	1	1	yes	characteristic
101	C₅₃×#392	C₂²	1	1	yes	characteristic
102	C₅₃×#392	C₂²	1	1	yes	characteristic
103	C₅₃×#392	C₂²	1	1	yes	characteristic
104	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
112	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
116	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
118	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#386	C₂²	1	1	yes	characteristic
124	C₅₃×#386	C₂²	1	1	yes	characteristic
125	C₅₃×#386	C₂²	1	1	yes	characteristic
126	C₅₃×#386	C₂²	1	1	yes	characteristic
127	C₅₃×#386	C₂²	1	1	yes	characteristic
128	C₅₃×#386	C₂²	1	1	yes	characteristic
129	C₅₃×#386	C₂²	1	1	yes	characteristic
130	C₅₃×#386	C₂²	1	1	yes	characteristic
131	C₅₃×#386	C₂²	1	1	yes	characteristic
132	C₅₃×#386	C₂²	1	1	yes	characteristic
133	C₅₃×#386	C₂²	1	1	yes	characteristic
134	C₅₃×#386	C₂²	1	1	yes	characteristic
135	C₅₃×#386	C₂²	1	1	yes	characteristic
136	C₅₃×#386	C₂²	1	1	yes	characteristic
137	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
142	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
143	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
145	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
146	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
147	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
148	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
149	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
150	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
151	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
153	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
155	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
156	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
157	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
158	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
159	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
160	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
161	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
168	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
171	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#379	C₂²	1	1	yes	characteristic
180	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×#95×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
188	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
189	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₅₃	—	2	4	no	—
192	C₂²×D₄×C₅₃	—	2	4	no	—
193	C₂²×D₄×C₅₃	—	4	2	no	—
194	C₂²×D₄×C₅₃	—	4	2	no	—
195	C₂²×D₄×C₅₃	—	4	2	no	—
196	C₂²×D₄×C₅₃	—	4	2	no	—
197	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
212	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₅₃	—	4	2	no	—
217	C₂³×C₄×C₅₃	—	4	2	no	—
218	C₂³×C₄×C₅₃	—	4	2	no	—
219	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
232	#124×C₅₃	—	4	2	no	—
233	#123×C₅₃	—	4	2	no	—
234	#123×C₅₃	—	4	2	no	—
235	C₂²⋊Q₈×C₅₃	—	4	2	no	—
236	C₂²⋊Q₈×C₅₃	—	4	2	no	—
237	#121×C₅₃	—	4	2	no	—
238	#121×C₅₃	—	4	2	no	—
239	#121×C₅₃	—	4	2	no	—
240	#121×C₅₃	—	4	2	no	—
241	#121×C₅₃	—	4	2	no	—
242	#121×C₅₃	—	4	2	no	—
243	#121×C₅₃	—	4	2	no	—
244	#120×C₅₃	—	2	4	no	—
245	#120×C₅₃	—	4	2	no	—
246	#120×C₅₃	—	4	2	no	—
247	#120×C₅₃	—	4	2	no	—
248	#120×C₅₃	—	4	2	no	—
249	#120×C₅₃	—	4	2	no	—
250	#120×C₅₃	—	4	2	no	—
251	C₄×D₄×C₅₃	—	4	2	no	—
252	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
269	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
270	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
271	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
272	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
335	#95×C₅₃	C₂³	1	1	yes	characteristic
336	#95×C₅₃	C₂³	1	1	yes	characteristic
337	#95×C₅₃	C₂³	1	1	yes	characteristic
338	#95×C₅₃	C₂³	1	1	yes	characteristic
339	#95×C₅₃	C₂³	1	1	yes	characteristic
340	#95×C₅₃	C₂³	1	1	yes	characteristic
341	#95×C₅₃	C₂³	1	1	yes	characteristic
342	#95×C₅₃	C₂³	1	1	yes	characteristic
343	#95×C₅₃	C₂³	1	1	yes	characteristic
344	#95×C₅₃	C₂³	1	1	yes	characteristic
345	#95×C₅₃	C₂³	1	1	yes	characteristic
346	#95×C₅₃	C₂³	1	1	yes	characteristic
347	#95×C₅₃	C₂³	1	1	yes	characteristic
348	#95×C₅₃	C₂³	1	1	yes	characteristic
349	#95×C₅₃	C₂³	1	1	yes	characteristic
350	#95×C₅₃	C₂³	1	1	yes	characteristic
351	#95×C₅₃	C₂³	1	1	yes	characteristic
352	#95×C₅₃	C₂³	1	1	yes	characteristic
353	#95×C₅₃	C₂³	1	1	yes	characteristic
354	#95×C₅₃	C₂³	1	1	yes	characteristic
355	#95×C₅₃	C₂³	1	1	yes	characteristic
356	#95×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	#95×C₅₃	C₂³	1	1	yes	characteristic
370	#95×C₅₃	C₂³	1	1	yes	characteristic
371	#95×C₅₃	C₂³	1	1	yes	characteristic
372	#95×C₅₃	C₂³	1	1	yes	characteristic
373	#95×C₅₃	C₂³	1	1	yes	characteristic
374	#95×C₅₃	C₂³	1	1	yes	characteristic
375	C₂⁴×C₅₃	—	2	2	no	—
376	C₂⁴×C₅₃	—	2	2	no	—
377	C₂⁴×C₅₃	—	2	2	no	—
378	C₂⁴×C₅₃	—	2	2	no	—
379	C₂⁴×C₅₃	—	2	2	no	—
380	C₂⁴×C₅₃	—	2	2	no	—
381	C₂⁴×C₅₃	—	2	2	no	—
382	C₂⁴×C₅₃	—	2	2	no	—
383	C₂⁴×C₅₃	—	4	1	no	—
384	C₂⁴×C₅₃	—	4	1	no	—
385	C₂⁴×C₅₃	—	4	1	no	—
386	C₂⁴×C₅₃	—	4	1	no	—
387	C₂⁴×C₅₃	—	4	1	no	—
388	C₂⁴×C₅₃	—	4	1	no	—
389	C₂⁴×C₅₃	—	4	1	no	—
390	C₂⁴×C₅₃	—	4	1	no	—
391	C₂⁴×C₅₃	—	4	1	no	—
392	C₂⁴×C₅₃	—	4	1	no	—
393	C₂⁴×C₅₃	—	4	1	no	—
394	C₂⁴×C₅₃	—	4	1	no	—
395	C₂⁴×C₅₃	#41	1	4	yes	—
396	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
397	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
398	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
399	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
401	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
402	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
404	C₂×Q₈×C₅₃	—	4	1	no	—
405	C₂×Q₈×C₅₃	—	4	1	no	—
406	C₂×Q₈×C₅₃	—	4	1	no	—
407	C₂×D₄×C₅₃	—	2	2	no	—
408	C₂×D₄×C₅₃	—	2	2	no	—
409	C₂×D₄×C₅₃	—	2	2	no	—
410	C₂×D₄×C₅₃	—	2	2	no	—
411	C₂×D₄×C₅₃	—	2	2	no	—
412	C₂×D₄×C₅₃	—	2	2	no	—
413	C₂×D₄×C₅₃	—	2	2	no	—
414	C₂×D₄×C₅₃	—	2	2	no	—
415	C₂×D₄×C₅₃	—	2	2	no	—
416	C₂×D₄×C₅₃	—	2	2	no	—
417	C₂×D₄×C₅₃	—	2	2	no	—
418	C₂×D₄×C₅₃	—	2	2	no	—
419	C₂×D₄×C₅₃	—	2	2	no	—
420	C₂×D₄×C₅₃	—	2	2	no	—
421	C₂×D₄×C₅₃	—	2	2	no	—
422	C₂×D₄×C₅₃	—	2	2	no	—
423	C₂×D₄×C₅₃	—	2	2	no	—
424	C₂×D₄×C₅₃	—	2	2	no	—
425	C₂×D₄×C₅₃	—	2	2	no	—
426	C₂×D₄×C₅₃	—	2	2	no	—
427	C₂×D₄×C₅₃	—	2	2	no	—
428	C₂×D₄×C₅₃	—	2	2	no	—
429	C₂×D₄×C₅₃	—	2	2	no	—
430	C₂×D₄×C₅₃	—	2	2	no	—
431	C₂×D₄×C₅₃	—	2	2	no	—
432	C₂×D₄×C₅₃	—	2	2	no	—
433	C₂×D₄×C₅₃	—	2	2	no	—
434	C₂×D₄×C₅₃	—	2	2	no	—
435	C₂×D₄×C₅₃	—	4	1	no	—
436	C₂×D₄×C₅₃	—	4	1	no	—
437	C₂×D₄×C₅₃	—	4	1	no	—
438	C₂×D₄×C₅₃	—	4	1	no	—
439	C₂×D₄×C₅₃	—	4	1	no	—
440	C₂×D₄×C₅₃	—	4	1	no	—
441	C₂×D₄×C₅₃	—	4	1	no	—
442	C₂×D₄×C₅₃	—	4	1	no	—
443	C₂×D₄×C₅₃	—	4	1	no	—
444	C₂×D₄×C₅₃	—	4	1	no	—
445	C₂×D₄×C₅₃	—	4	1	no	—
446	C₂×D₄×C₅₃	—	4	1	no	—
447	C₂×D₄×C₅₃	—	4	1	no	—
448	C₂×D₄×C₅₃	—	4	1	no	—
449	C₂×D₄×C₅₃	—	4	1	no	—
450	C₂×D₄×C₅₃	—	4	1	no	—
451	C₂×D₄×C₅₃	—	4	1	no	—
452	C₂×D₄×C₅₃	—	4	1	no	—
453	C₂×D₄×C₅₃	—	4	1	no	—
454	C₂×D₄×C₅₃	—	4	1	no	—
455	C₂×D₄×C₅₃	—	4	1	no	—
456	C₂×D₄×C₅₃	—	4	1	no	—
457	C₂×D₄×C₅₃	—	4	1	no	—
458	C₂×D₄×C₅₃	—	4	1	no	—
459	C₂×D₄×C₅₃	—	4	1	no	—
460	C₂×D₄×C₅₃	—	4	1	no	—
461	C₂×D₄×C₅₃	—	4	1	no	—
462	C₂×D₄×C₅₃	—	4	1	no	—
463	C₂×D₄×C₅₃	—	4	1	no	—
464	C₂×D₄×C₅₃	—	4	16	no	—
465	C₂×D₄×C₅₃	—	4	16	no	—
466	C₂²×C₄×C₅₃	—	2	2	no	—
467	C₂²×C₄×C₅₃	—	2	2	no	—
468	C₂²×C₄×C₅₃	—	2	2	no	—
469	C₂²×C₄×C₅₃	—	2	2	no	—
470	C₂²×C₄×C₅₃	—	2	2	no	—
471	C₂²×C₄×C₅₃	—	2	2	no	—
472	C₂²×C₄×C₅₃	—	2	2	no	—
473	C₂²×C₄×C₅₃	—	2	2	no	—
474	C₂²×C₄×C₅₃	—	2	2	no	—
475	C₂²×C₄×C₅₃	—	2	2	no	—
476	C₂²×C₄×C₅₃	—	2	2	no	—
477	C₂²×C₄×C₅₃	—	4	1	no	—
478	C₂²×C₄×C₅₃	—	4	1	no	—
479	C₂²×C₄×C₅₃	—	4	1	no	—
480	C₂²×C₄×C₅₃	—	4	1	no	—
481	C₂²×C₄×C₅₃	—	4	1	no	—
482	C₂²×C₄×C₅₃	—	4	1	no	—
483	C₂²×C₄×C₅₃	—	4	1	no	—
484	C₂²×C₄×C₅₃	—	4	1	no	—
485	C₂²×C₄×C₅₃	—	4	1	no	—
486	C₂²×C₄×C₅₃	—	4	1	no	—
487	C₂²×C₄×C₅₃	—	4	1	no	—
488	C₂²×C₄×C₅₃	—	4	1	no	—
489	C₂²×C₄×C₅₃	—	4	1	no	—
490	C₂²×C₄×C₅₃	—	4	1	no	—
491	C₂²×C₄×C₅₃	—	4	1	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	C₂²×C₄×C₅₃	—	4	1	no	—
499	C₂²×C₄×C₅₃	—	4	1	no	—
500	C₂²×C₄×C₅₃	—	4	1	no	—
501	C₂²×C₄×C₅₃	—	4	1	no	—
502	C₂²×C₄×C₅₃	—	4	1	no	—
503	C₂²×C₄×C₅₃	—	4	1	no	—
504	C₂²×C₄×C₅₃	—	4	1	no	—
505	C₂²×C₄×C₅₃	—	4	16	no	—
506	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
529	C₄⋊C₄×C₅₃	—	2	2	no	—
530	C₄⋊C₄×C₅₃	—	2	2	no	—
531	C₄⋊C₄×C₅₃	—	4	1	no	—
532	C₄⋊C₄×C₅₃	—	4	1	no	—
533	C₄⋊C₄×C₅₃	—	4	1	no	—
534	C₄⋊C₄×C₅₃	—	4	1	no	—
535	C₄⋊C₄×C₅₃	—	4	1	no	—
536	C₄⋊C₄×C₅₃	—	4	1	no	—
537	C₄⋊C₄×C₅₃	—	4	1	no	—
538	C₄⋊C₄×C₅₃	—	4	1	no	—
539	C₄⋊C₄×C₅₃	—	4	1	no	—
540	C₄⋊C₄×C₅₃	—	4	1	no	—
541	C₄⋊C₄×C₅₃	—	4	1	no	—
542	C₄⋊C₄×C₅₃	—	4	1	no	—
543	C₄⋊C₄×C₅₃	—	4	1	no	—
544	C₄⋊C₄×C₅₃	—	4	1	no	—
545	C₂²⋊C₄×C₅₃	—	2	2	no	—
546	C₂²⋊C₄×C₅₃	—	2	2	no	—
547	C₂²⋊C₄×C₅₃	—	2	2	no	—
548	C₂²⋊C₄×C₅₃	—	2	2	no	—
549	C₂²⋊C₄×C₅₃	—	2	2	no	—
550	C₂²⋊C₄×C₅₃	—	2	2	no	—
551	C₂²⋊C₄×C₅₃	—	2	2	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	—	4	1	no	—
560	C₂²⋊C₄×C₅₃	—	4	1	no	—
561	C₂²⋊C₄×C₅₃	—	4	1	no	—
562	C₂²⋊C₄×C₅₃	—	4	1	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	—	4	1	no	—
568	C₂²⋊C₄×C₅₃	—	4	1	no	—
569	C₂²⋊C₄×C₅₃	—	4	1	no	—
570	C₂²⋊C₄×C₅₃	—	4	1	no	—
571	C₂²⋊C₄×C₅₃	—	4	1	no	—
572	C₂²⋊C₄×C₅₃	—	4	1	no	—
573	C₂²⋊C₄×C₅₃	—	4	1	no	—
574	C₂²⋊C₄×C₅₃	—	4	1	no	—
575	C₂²⋊C₄×C₅₃	—	4	1	no	—
576	C₂²⋊C₄×C₅₃	—	4	1	no	—
577	C₂²⋊C₄×C₅₃	—	4	1	no	—
578	C₂²⋊C₄×C₅₃	—	4	1	no	—
579	C₂²⋊C₄×C₅₃	—	4	1	no	—
580	C₂²⋊C₄×C₅₃	—	4	1	no	—
581	C₂²⋊C₄×C₅₃	—	4	1	no	—
582	C₂²⋊C₄×C₅₃	—	4	1	no	—
583	C₂²⋊C₄×C₅₃	—	4	1	no	—
584	C₂²⋊C₄×C₅₃	—	4	1	no	—
585	C₂²⋊C₄×C₅₃	—	4	1	no	—
586	C₂²⋊C₄×C₅₃	—	4	1	no	—
587	C₂²⋊C₄×C₅₃	—	4	1	no	—
588	C₂²⋊C₄×C₅₃	—	4	1	no	—
589	C₂²⋊C₄×C₅₃	—	4	1	no	—
590	C₂²⋊C₄×C₅₃	—	4	1	no	—
591	C₂²⋊C₄×C₅₃	—	4	1	no	—
592	C₂²⋊C₄×C₅₃	—	4	1	no	—
593	C₂²⋊C₄×C₅₃	—	4	1	no	—
594	C₂²⋊C₄×C₅₃	—	4	1	no	—
595	C₂²⋊C₄×C₅₃	—	4	1	no	—
596	C₂²⋊C₄×C₅₃	—	4	1	no	—
597	C₂²⋊C₄×C₅₃	—	4	1	no	—
598	C₂²⋊C₄×C₅₃	—	4	1	no	—
599	C₂²⋊C₄×C₅₃	—	4	1	no	—
600	C₂²⋊C₄×C₅₃	—	4	1	no	—
601	C₂²⋊C₄×C₅₃	—	4	1	no	—
602	C₂²⋊C₄×C₅₃	—	4	1	no	—
603	C₂²⋊C₄×C₅₃	—	4	1	no	—
604	C₂²⋊C₄×C₅₃	—	4	1	no	—
605	C₄²×C₅₃	—	4	1	no	—
606	C₄²×C₅₃	—	4	1	no	—
607	C₄²×C₅₃	—	4	1	no	—
608	C₂³×C₅₃	—	2	1	no	—
609	C₂³×C₅₃	—	2	1	no	—
610	C₂³×C₅₃	—	2	1	no	—
611	C₂³×C₅₃	—	2	1	no	—
612	C₂³×C₅₃	—	2	8	no	—
613	C₂³×C₅₃	—	2	1	no	—
614	C₂³×C₅₃	—	2	1	no	—
615	C₂³×C₅₃	—	2	1	no	—
616	C₂³×C₅₃	—	2	1	no	—
617	C₂³×C₅₃	—	2	1	no	—
618	C₂³×C₅₃	—	2	1	no	—
619	C₂³×C₅₃	—	2	1	no	—
620	C₂³×C₅₃	—	2	1	no	—
621	C₂³×C₅₃	—	2	1	no	—
622	C₂³×C₅₃	—	2	1	no	—
623	C₂³×C₅₃	—	2	1	no	—
624	C₂³×C₅₃	—	2	1	no	—
625	C₂³×C₅₃	—	2	1	no	—
626	C₂³×C₅₃	—	2	1	no	—
627	C₂³×C₅₃	—	2	1	no	—
628	C₂³×C₅₃	—	2	1	no	—
629	C₂³×C₅₃	—	2	1	no	—
630	C₂³×C₅₃	—	2	1	no	—
631	C₂³×C₅₃	—	2	1	no	—
632	C₂³×C₅₃	—	2	1	no	—
633	C₂³×C₅₃	—	2	1	no	—
634	C₂³×C₅₃	—	2	1	no	—
635	C₂³×C₅₃	—	2	1	no	—
636	C₂³×C₅₃	—	2	1	no	—
637	C₂³×C₅₃	—	2	8	no	—
638	C₂³×C₅₃	—	2	1	no	—
639	C₂³×C₅₃	—	2	1	no	—
640	C₂³×C₅₃	—	2	1	no	—
641	C₂³×C₅₃	—	2	1	no	—
642	C₂³×C₅₃	—	2	1	no	—
643	C₂³×C₅₃	—	2	1	no	—
644	C₂³×C₅₃	—	2	1	no	—
645	C₂³×C₅₃	—	2	1	no	—
646	C₂³×C₅₃	—	2	1	no	—
647	C₂³×C₅₃	—	2	1	no	—
648	C₂³×C₅₃	—	2	1	no	—
649	C₂³×C₅₃	—	2	1	no	—
650	C₂³×C₅₃	—	2	1	no	—
651	C₂³×C₅₃	—	2	1	no	—
652	C₂³×C₅₃	—	2	1	no	—
653	C₂³×C₅₃	—	2	1	no	—
654	C₂³×C₅₃	—	2	1	no	—
655	C₂³×C₅₃	—	2	1	no	—
656	C₂³×C₅₃	—	2	1	no	—
657	C₂³×C₅₃	—	2	1	no	—
658	C₂³×C₅₃	—	2	1	no	—
659	C₂³×C₅₃	—	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	—	4	4	no	—
666	C₂³×C₅₃	—	4	4	no	—
667	C₂³×C₅₃	—	4	4	no	—
668	C₂³×C₅₃	—	8	2	no	—
669	C₂³×C₅₃	—	8	2	no	—
670	C₂³×C₅₃	—	8	2	no	—
671	C₂³×C₅₃	—	8	2	no	—
672	C₂³×C₅₃	—	8	2	no	—
673	C₂³×C₅₃	—	8	2	no	—
674	C₂³×C₅₃	—	8	2	no	—
675	C₂³×C₅₃	—	8	2	no	—
676	C₂³×C₅₃	—	8	2	no	—
677	C₂³×C₅₃	—	8	2	no	—
678	C₂³×C₅₃	C₂×#41	1	2	yes	—
679	C₂³×C₅₃	C₂×#41	1	2	yes	—
680	C₂³×C₅₃	C₂×#41	1	2	yes	—
681	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
682	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
683	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
684	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
685	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
686	Q₈×C₅₃	—	8	2	no	—
687	D₄×C₅₃	—	4	4	no	—
688	D₄×C₅₃	—	4	4	no	—
689	D₄×C₅₃	—	4	4	no	—
690	D₄×C₅₃	—	4	4	no	—
691	D₄×C₅₃	—	4	4	no	—
692	D₄×C₅₃	—	4	4	no	—
693	D₄×C₅₃	—	4	4	no	—
694	D₄×C₅₃	—	4	4	no	—
695	D₄×C₅₃	—	4	4	no	—
696	D₄×C₅₃	—	8	2	no	—
697	D₄×C₅₃	—	8	2	no	—
698	D₄×C₅₃	—	8	2	no	—
699	D₄×C₅₃	—	8	2	no	—
700	D₄×C₅₃	—	8	2	no	—
701	D₄×C₅₃	—	8	2	no	—
702	D₄×C₅₃	—	8	2	no	—
703	D₄×C₅₃	—	8	2	no	—
704	D₄×C₅₃	—	8	2	no	—
705	D₄×C₅₃	—	8	2	no	—
706	C₂×C₄×C₅₃	—	2	1	no	—
707	C₂×C₄×C₅₃	—	2	1	no	—
708	C₂×C₄×C₅₃	—	2	1	no	—
709	C₂×C₄×C₅₃	—	2	1	no	—
710	C₂×C₄×C₅₃	—	2	1	no	—
711	C₂×C₄×C₅₃	—	2	1	no	—
712	C₂×C₄×C₅₃	—	2	1	no	—
713	C₂×C₄×C₅₃	—	2	1	no	—
714	C₂×C₄×C₅₃	—	2	1	no	—
715	C₂×C₄×C₅₃	—	2	1	no	—
716	C₂×C₄×C₅₃	—	2	1	no	—
717	C₂×C₄×C₅₃	—	2	1	no	—
718	C₂×C₄×C₅₃	—	2	1	no	—
719	C₂×C₄×C₅₃	—	2	1	no	—
720	C₂×C₄×C₅₃	—	2	1	no	—
721	C₂×C₄×C₅₃	—	2	1	no	—
722	C₂×C₄×C₅₃	—	2	1	no	—
723	C₂×C₄×C₅₃	—	2	1	no	—
724	C₂×C₄×C₅₃	—	2	1	no	—
725	C₂×C₄×C₅₃	—	2	1	no	—
726	C₂×C₄×C₅₃	—	2	1	no	—
727	C₂×C₄×C₅₃	—	2	1	no	—
728	C₂×C₄×C₅₃	—	2	1	no	—
729	C₂×C₄×C₅₃	—	2	1	no	—
730	C₂×C₄×C₅₃	—	2	1	no	—
731	C₂×C₄×C₅₃	—	2	1	no	—
732	C₂×C₄×C₅₃	—	2	1	no	—
733	C₂×C₄×C₅₃	—	2	1	no	—
734	C₂×C₄×C₅₃	—	2	1	no	—
735	C₂×C₄×C₅₃	—	2	1	no	—
736	C₂×C₄×C₅₃	—	2	1	no	—
737	C₂×C₄×C₅₃	—	2	1	no	—
738	C₂×C₄×C₅₃	—	2	1	no	—
739	C₂×C₄×C₅₃	—	2	1	no	—
740	C₂×C₄×C₅₃	—	2	1	no	—
741	C₂×C₄×C₅₃	—	2	1	no	—
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	—	4	4	no	—
775	C₂×C₄×C₅₃	—	4	4	no	—
776	C₂×C₄×C₅₃	—	4	4	no	—
777	C₂×C₄×C₅₃	—	4	4	no	—
778	C₂×C₄×C₅₃	—	4	4	no	—
779	C₂×C₄×C₅₃	—	4	4	no	—
780	C₂×C₄×C₅₃	—	4	4	no	—
781	C₂×C₄×C₅₃	—	4	4	no	—
782	C₂×C₄×C₅₃	—	8	2	no	—
783	C₂×C₄×C₅₃	—	8	2	no	—
784	C₂×C₄×C₅₃	—	8	2	no	—
785	C₂×C₄×C₅₃	—	8	2	no	—
786	C₂×C₄×C₅₃	—	8	2	no	—
787	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
788	#36776	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
789	C₂²×C₅₃	—	2	2	no	—
790	C₂²×C₅₃	—	2	2	no	—
791	C₂²×C₅₃	—	2	2	no	—
792	C₂²×C₅₃	—	2	2	no	—
793	C₂²×C₅₃	—	2	2	no	—
794	C₂²×C₅₃	—	2	2	no	—
795	C₂²×C₅₃	—	2	2	no	—
796	C₂²×C₅₃	—	2	2	no	—
797	C₂²×C₅₃	—	2	2	no	—
798	C₂²×C₅₃	—	2	2	no	—
799	C₂²×C₅₃	—	2	2	no	—
800	C₂²×C₅₃	—	2	2	no	—
801	C₂²×C₅₃	—	2	2	no	—
802	C₂²×C₅₃	—	2	2	no	—
803	C₂²×C₅₃	—	2	2	no	—
804	C₂²×C₅₃	—	2	2	no	—
805	C₂²×C₅₃	—	2	2	no	—
806	C₂²×C₅₃	—	2	2	no	—
807	C₂²×C₅₃	—	4	16	no	—
808	C₂²×C₅₃	—	4	1	no	—
809	C₂²×C₅₃	—	4	1	no	—
810	C₂²×C₅₃	—	4	1	no	—
811	C₂²×C₅₃	—	4	1	no	—
812	C₂²×C₅₃	—	4	1	no	—
813	C₂²×C₅₃	—	4	1	no	—
814	C₂²×C₅₃	—	4	1	no	—
815	C₂²×C₅₃	—	4	1	no	—
816	C₂²×C₅₃	—	4	1	no	—
817	C₂²×C₅₃	—	4	1	no	—
818	C₂²×C₅₃	—	4	1	no	—
819	C₂²×C₅₃	—	4	1	no	—
820	C₂²×C₅₃	—	4	1	no	—
821	C₂²×C₅₃	—	4	1	no	—
822	C₂²×C₅₃	—	4	1	no	—
823	C₂²×C₅₃	—	4	1	no	—
824	C₂²×C₅₃	—	4	1	no	—
825	C₂²×C₅₃	—	4	1	no	—
826	C₂²×C₅₃	—	4	1	no	—
827	C₂²×C₅₃	—	4	1	no	—
828	C₂²×C₅₃	—	4	1	no	—
829	C₂²×C₅₃	—	4	1	no	—
830	C₂²×C₅₃	—	4	1	no	—
831	C₂²×C₅₃	—	4	1	no	—
832	C₂²×C₅₃	—	4	1	no	—
833	C₂²×C₅₃	—	4	1	no	—
834	C₂²×C₅₃	—	4	1	no	—
835	C₂²×C₅₃	—	4	1	no	—
836	C₂²×C₅₃	—	4	1	no	—
837	C₂²×C₅₃	—	4	1	no	—
838	C₂²×C₅₃	—	4	1	no	—
839	C₂²×C₅₃	—	4	1	no	—
840	C₂²×C₅₃	—	4	1	no	—
841	C₂²×C₅₃	—	4	1	no	—
842	C₂²×C₅₃	—	4	1	no	—
843	C₂²×C₅₃	—	4	1	no	—
844	C₂²×C₅₃	—	4	1	no	—
845	C₂²×C₅₃	—	8	8	no	—
846	C₂²×C₅₃	—	8	8	no	—
847	C₂²×C₅₃	#538	1	4	yes	—
848	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
849	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
850	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
851	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
852	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
853	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
854	C₂²×C₅₃	#585	1	1	yes	characteristic
855	C₄×C₅₃	—	2	2	no	—
856	C₄×C₅₃	—	4	1	no	—
857	C₄×C₅₃	—	4	1	no	—
858	C₄×C₅₃	—	4	1	no	—
859	C₄×C₅₃	—	4	1	no	—
860	C₄×C₅₃	—	4	1	no	—
861	C₄×C₅₃	—	4	1	no	—
862	C₄×C₅₃	—	4	1	no	—
863	C₄×C₅₃	—	4	1	no	—
864	C₄×C₅₃	—	4	1	no	—
865	C₄×C₅₃	—	4	1	no	—
866	C₄×C₅₃	—	4	1	no	—
867	C₄×C₅₃	—	4	1	no	—
868	C₄×C₅₃	—	4	1	no	—
869	C₄×C₅₃	—	4	1	no	—
870	C₄×C₅₃	—	4	1	no	—
871	C₄×C₅₃	—	4	1	no	—
872	C₄×C₅₃	—	4	1	no	—
873	C₄×C₅₃	—	4	1	no	—
874	C₄×C₅₃	—	4	1	no	—
875	C₄×C₅₃	—	4	1	no	—
876	C₄×C₅₃	—	4	1	no	—
877	C₄×C₅₃	—	4	1	no	—
878	#2849	C₂×C₅₃	1	1	yes	characteristic, complemented
879	#2847	C₂×C₅₃	1	1	yes	characteristic, complemented
880	#2778	C₂×C₅₃	1	1	yes	characteristic, complemented
881	#2778	C₂×C₅₃	1	1	yes	characteristic, complemented
882	#2760	C₂×C₅₃	1	1	yes	characteristic, complemented
883	#2750	C₂×C₅₃	1	1	yes	characteristic, complemented
884	#2749	C₂×C₅₃	1	1	yes	characteristic, complemented
885	#2749	C₂×C₅₃	1	1	yes	characteristic, complemented
886	#2743	C₂×C₅₃	1	1	yes	characteristic, complemented
887	#2703	C₂×C₅₃	1	1	yes	characteristic, complemented
888	#2697	C₂×C₅₃	1	1	yes	characteristic, complemented
889	#2696	C₂×C₅₃	1	1	yes	characteristic, complemented
890	#2688	C₂×C₅₃	1	1	yes	characteristic, complemented
891	#2688	C₂×C₅₃	1	1	yes	characteristic, complemented
892	#2684	C₂×C₅₃	1	1	yes	characteristic, complemented
893	#2678	C₂×C₅₃	1	1	yes	characteristic, complemented
894	#2676	C₂×C₅₃	1	1	yes	characteristic, complemented
895	#2668	C₂×C₅₃	1	1	yes	characteristic, complemented
896	#2643	C₂×C₅₃	1	1	yes	characteristic, complemented
897	#2639	C₂×C₅₃	1	1	yes	characteristic, complemented
898	#2510	C₂×C₅₃	1	1	yes	characteristic, complemented
899	#2472	C₂×C₅₃	1	1	yes	characteristic, complemented
900	#2444	C₂×C₅₃	1	1	yes	characteristic, complemented
901	#2437	C₂×C₅₃	1	1	yes	characteristic, complemented
902	#2424	C₂×C₅₃	1	1	yes	characteristic, complemented
903	#2410	C₂×C₅₃	1	1	yes	characteristic, complemented
904	#2410	C₂×C₅₃	1	1	yes	characteristic, complemented
905	#2403	C₂×C₅₃	1	1	yes	characteristic, complemented
906	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
907	#2308	C₂×C₅₃	1	1	yes	characteristic, complemented
908	C₂×#386	C₂×C₅₃	1	1	yes	characteristic, complemented
909	C₂×C₅₃	—	2	4	no	—
910	C₂×C₅₃	—	4	2	no	—
911	C₂×C₅₃	—	4	2	no	—
912	C₂×C₅₃	—	4	2	no	—
913	C₂×C₅₃	—	4	2	no	—
914	C₂×C₅₃	—	8	1	no	—
915	C₂×C₅₃	—	8	1	no	—
916	C₂×C₅₃	—	8	1	no	—
917	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
918	C₂×C₅₃	#3490	1	1	yes	characteristic
919	C₂×C₅₃	#3505	1	1	yes	characteristic
920	C₂×C₅₃	#3532	1	1	yes	characteristic
921	C₂×C₅₃	#3534	1	1	yes	characteristic
922	C₂×C₅₃	#3534	1	1	yes	characteristic
923	C₂×C₅₃	#3537	1	1	yes	characteristic
924	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
925	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
926	C₂⁴×C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
927	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
933	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
934	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
937	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
938	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
939	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
940	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
941	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
942	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
943	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
944	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
945	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
948	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
949	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
950	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#401	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#401	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
967	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
968	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#394	C₂²×C₅₃	1	1	yes	characteristic
976	#394	C₂²×C₅₃	1	1	yes	characteristic
977	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
978	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
979	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
980	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
984	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
986	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
987	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
988	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
989	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
990	#392	C₂²×C₅₃	1	1	yes	characteristic
991	#392	C₂²×C₅₃	1	1	yes	characteristic
992	#392	C₂²×C₅₃	1	1	yes	characteristic
993	#392	C₂²×C₅₃	1	1	yes	characteristic
994	#392	C₂²×C₅₃	1	1	yes	characteristic
995	#392	C₂²×C₅₃	1	1	yes	characteristic
996	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1001	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1002	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1003	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1004	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1005	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1007	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1008	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1011	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1012	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1013	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	#386	C₂²×C₅₃	1	1	yes	characteristic
1016	#386	C₂²×C₅₃	1	1	yes	characteristic
1017	#386	C₂²×C₅₃	1	1	yes	characteristic
1018	#386	C₂²×C₅₃	1	1	yes	characteristic
1019	#386	C₂²×C₅₃	1	1	yes	characteristic
1020	#386	C₂²×C₅₃	1	1	yes	characteristic
1021	#386	C₂²×C₅₃	1	1	yes	characteristic
1022	#386	C₂²×C₅₃	1	1	yes	characteristic
1023	#386	C₂²×C₅₃	1	1	yes	characteristic
1024	#386	C₂²×C₅₃	1	1	yes	characteristic
1025	#386	C₂²×C₅₃	1	1	yes	characteristic
1026	#386	C₂²×C₅₃	1	1	yes	characteristic
1027	#386	C₂²×C₅₃	1	1	yes	characteristic
1028	#386	C₂²×C₅₃	1	1	yes	characteristic
1029	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1030	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1031	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1032	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1033	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1034	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1035	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1036	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1037	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1038	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1039	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1040	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1041	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1042	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1043	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1044	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1045	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1046	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1047	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1048	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1049	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1050	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1051	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1052	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1053	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1054	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1055	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1056	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1057	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1058	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1059	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1060	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1061	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
1062	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1063	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1064	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1065	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1066	#381	C₂²×C₅₃	1	1	yes	characteristic, complemented
1067	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1068	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1069	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1070	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1071	#379	C₂²×C₅₃	1	1	yes	characteristic
1072	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1073	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1074	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1075	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1076	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1077	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic, complemented
1078	C₂×#95	C₂²×C₅₃	1	1	yes	characteristic, complemented
1079	C₅₃	#36776	1	1	yes	characteristic, direct product factor, Sylow
1080	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1081	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1082	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1083	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1084	C₂²×D₄	—	2	4	no	—
1085	C₂²×D₄	—	2	4	no	—
1086	C₂²×D₄	—	4	2	no	—
1087	C₂²×D₄	—	4	2	no	—
1088	C₂²×D₄	—	4	2	no	—
1089	C₂²×D₄	—	4	2	no	—
1090	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂³×C₄	—	4	2	no	—
1110	C₂³×C₄	—	4	2	no	—
1111	C₂³×C₄	—	4	2	no	—
1112	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1113	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1114	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1115	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1116	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1117	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1118	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1119	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1120	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1121	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1122	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1123	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1124	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1125	#124	—	4	2	no	—
1126	#123	—	4	2	no	—
1127	#123	—	4	2	no	—
1128	C₂²⋊Q₈	—	4	2	no	—
1129	C₂²⋊Q₈	—	4	2	no	—
1130	#121	—	4	2	no	—
1131	#121	—	4	2	no	—
1132	#121	—	4	2	no	—
1133	#121	—	4	2	no	—
1134	#121	—	4	2	no	—
1135	#121	—	4	2	no	—
1136	#121	—	4	2	no	—
1137	#120	—	2	4	no	—
1138	#120	—	4	2	no	—
1139	#120	—	4	2	no	—
1140	#120	—	4	2	no	—
1141	#120	—	4	2	no	—
1142	#120	—	4	2	no	—
1143	#120	—	4	2	no	—
1144	C₄×D₄	—	4	2	no	—
1145	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1146	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1147	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1158	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	—	4	2	no	—
1162	C₂×C₂²⋊C₄	—	4	2	no	—
1163	C₂×C₂²⋊C₄	—	4	2	no	—
1164	C₂×C₂²⋊C₄	—	4	2	no	—
1165	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1203	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1205	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1206	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1208	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1210	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1211	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1212	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1213	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1214	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1215	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1216	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1217	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1221	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1222	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1224	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1225	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1226	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1227	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1228	#95	C₂³×C₅₃	1	1	yes	characteristic
1229	#95	C₂³×C₅₃	1	1	yes	characteristic
1230	#95	C₂³×C₅₃	1	1	yes	characteristic
1231	#95	C₂³×C₅₃	1	1	yes	characteristic
1232	#95	C₂³×C₅₃	1	1	yes	characteristic
1233	#95	C₂³×C₅₃	1	1	yes	characteristic
1234	#95	C₂³×C₅₃	1	1	yes	characteristic
1235	#95	C₂³×C₅₃	1	1	yes	characteristic
1236	#95	C₂³×C₅₃	1	1	yes	characteristic
1237	#95	C₂³×C₅₃	1	1	yes	characteristic
1238	#95	C₂³×C₅₃	1	1	yes	characteristic
1239	#95	C₂³×C₅₃	1	1	yes	characteristic
1240	#95	C₂³×C₅₃	1	1	yes	characteristic
1241	#95	C₂³×C₅₃	1	1	yes	characteristic
1242	#95	C₂³×C₅₃	1	1	yes	characteristic
1243	#95	C₂³×C₅₃	1	1	yes	characteristic
1244	#95	C₂³×C₅₃	1	1	yes	characteristic
1245	#95	C₂³×C₅₃	1	1	yes	characteristic
1246	#95	C₂³×C₅₃	1	1	yes	characteristic
1247	#95	C₂³×C₅₃	1	1	yes	characteristic
1248	#95	C₂³×C₅₃	1	1	yes	characteristic
1249	#95	C₂³×C₅₃	1	1	yes	characteristic
1250	#95	C₂³×C₅₃	1	1	yes	characteristic
1251	#95	C₂³×C₅₃	1	1	yes	characteristic
1252	#95	C₂³×C₅₃	1	1	yes	characteristic
1253	#95	C₂³×C₅₃	1	1	yes	characteristic
1254	#95	C₂³×C₅₃	1	1	yes	characteristic
1255	#95	C₂³×C₅₃	1	1	yes	characteristic
1256	#95	C₂³×C₅₃	1	1	yes	characteristic
1257	#95	C₂³×C₅₃	1	1	yes	characteristic
1258	#95	C₂³×C₅₃	1	1	yes	characteristic
1259	#95	C₂³×C₅₃	1	1	yes	characteristic
1260	#95	C₂³×C₅₃	1	1	yes	characteristic
1261	#95	C₂³×C₅₃	1	1	yes	characteristic
1262	#95	C₂³×C₅₃	1	1	yes	characteristic
1263	#95	C₂³×C₅₃	1	1	yes	characteristic
1264	#95	C₂³×C₅₃	1	1	yes	characteristic
1265	#95	C₂³×C₅₃	1	1	yes	characteristic
1266	#95	C₂³×C₅₃	1	1	yes	characteristic
1267	#95	C₂³×C₅₃	1	1	yes	characteristic
1268	C₂⁴	—	2	2	no	—
1269	C₂⁴	—	2	2	no	—
1270	C₂⁴	—	2	2	no	—
1271	C₂⁴	—	2	2	no	—
1272	C₂⁴	—	2	2	no	—
1273	C₂⁴	—	2	2	no	—
1274	C₂⁴	—	2	2	no	—
1275	C₂⁴	—	2	2	no	—
1276	C₂⁴	—	4	1	no	—
1277	C₂⁴	—	4	1	no	—
1278	C₂⁴	—	4	1	no	—
1279	C₂⁴	—	4	1	no	—
1280	C₂⁴	—	4	1	no	—
1281	C₂⁴	—	4	1	no	—
1282	C₂⁴	—	4	1	no	—
1283	C₂⁴	—	4	1	no	—
1284	C₂⁴	—	4	1	no	—
1285	C₂⁴	—	4	1	no	—
1286	C₂⁴	—	4	1	no	—
1287	C₂⁴	—	4	1	no	—
1288	C₂⁴	#41×C₅₃	1	4	yes	—
1289	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1290	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1291	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1292	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1293	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1294	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1295	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1296	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1297	C₂×Q₈	—	4	1	no	—
1298	C₂×Q₈	—	4	1	no	—
1299	C₂×Q₈	—	4	1	no	—
1300	C₂×D₄	—	2	2	no	—
1301	C₂×D₄	—	2	2	no	—
1302	C₂×D₄	—	2	2	no	—
1303	C₂×D₄	—	2	2	no	—
1304	C₂×D₄	—	2	2	no	—
1305	C₂×D₄	—	2	2	no	—
1306	C₂×D₄	—	2	2	no	—
1307	C₂×D₄	—	2	2	no	—
1308	C₂×D₄	—	2	2	no	—
1309	C₂×D₄	—	2	2	no	—
1310	C₂×D₄	—	2	2	no	—
1311	C₂×D₄	—	2	2	no	—
1312	C₂×D₄	—	2	2	no	—
1313	C₂×D₄	—	2	2	no	—
1314	C₂×D₄	—	2	2	no	—
1315	C₂×D₄	—	2	2	no	—
1316	C₂×D₄	—	2	2	no	—
1317	C₂×D₄	—	2	2	no	—
1318	C₂×D₄	—	2	2	no	—
1319	C₂×D₄	—	2	2	no	—
1320	C₂×D₄	—	2	2	no	—
1321	C₂×D₄	—	2	2	no	—
1322	C₂×D₄	—	2	2	no	—
1323	C₂×D₄	—	2	2	no	—
1324	C₂×D₄	—	2	2	no	—
1325	C₂×D₄	—	2	2	no	—
1326	C₂×D₄	—	2	2	no	—
1327	C₂×D₄	—	2	2	no	—
1328	C₂×D₄	—	4	1	no	—
1329	C₂×D₄	—	4	1	no	—
1330	C₂×D₄	—	4	1	no	—
1331	C₂×D₄	—	4	1	no	—
1332	C₂×D₄	—	4	1	no	—
1333	C₂×D₄	—	4	1	no	—
1334	C₂×D₄	—	4	1	no	—
1335	C₂×D₄	—	4	1	no	—
1336	C₂×D₄	—	4	1	no	—
1337	C₂×D₄	—	4	1	no	—
1338	C₂×D₄	—	4	1	no	—
1339	C₂×D₄	—	4	1	no	—
1340	C₂×D₄	—	4	1	no	—
1341	C₂×D₄	—	4	1	no	—
1342	C₂×D₄	—	4	1	no	—
1343	C₂×D₄	—	4	1	no	—
1344	C₂×D₄	—	4	1	no	—
1345	C₂×D₄	—	4	1	no	—
1346	C₂×D₄	—	4	1	no	—
1347	C₂×D₄	—	4	1	no	—
1348	C₂×D₄	—	4	1	no	—
1349	C₂×D₄	—	4	1	no	—
1350	C₂×D₄	—	4	1	no	—
1351	C₂×D₄	—	4	1	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	—	4	1	no	—
1355	C₂×D₄	—	4	1	no	—
1356	C₂×D₄	—	4	1	no	—
1357	C₂×D₄	—	4	16	no	—
1358	C₂×D₄	—	4	16	no	—
1359	C₂²×C₄	—	2	2	no	—
1360	C₂²×C₄	—	2	2	no	—
1361	C₂²×C₄	—	2	2	no	—
1362	C₂²×C₄	—	2	2	no	—
1363	C₂²×C₄	—	2	2	no	—
1364	C₂²×C₄	—	2	2	no	—
1365	C₂²×C₄	—	2	2	no	—
1366	C₂²×C₄	—	2	2	no	—
1367	C₂²×C₄	—	2	2	no	—
1368	C₂²×C₄	—	2	2	no	—
1369	C₂²×C₄	—	2	2	no	—
1370	C₂²×C₄	—	4	1	no	—
1371	C₂²×C₄	—	4	1	no	—
1372	C₂²×C₄	—	4	1	no	—
1373	C₂²×C₄	—	4	1	no	—
1374	C₂²×C₄	—	4	1	no	—
1375	C₂²×C₄	—	4	1	no	—
1376	C₂²×C₄	—	4	1	no	—
1377	C₂²×C₄	—	4	1	no	—
1378	C₂²×C₄	—	4	1	no	—
1379	C₂²×C₄	—	4	1	no	—
1380	C₂²×C₄	—	4	1	no	—
1381	C₂²×C₄	—	4	1	no	—
1382	C₂²×C₄	—	4	1	no	—
1383	C₂²×C₄	—	4	1	no	—
1384	C₂²×C₄	—	4	1	no	—
1385	C₂²×C₄	—	4	1	no	—
1386	C₂²×C₄	—	4	1	no	—
1387	C₂²×C₄	—	4	1	no	—
1388	C₂²×C₄	—	4	1	no	—
1389	C₂²×C₄	—	4	1	no	—
1390	C₂²×C₄	—	4	1	no	—
1391	C₂²×C₄	—	4	1	no	—
1392	C₂²×C₄	—	4	1	no	—
1393	C₂²×C₄	—	4	1	no	—
1394	C₂²×C₄	—	4	1	no	—
1395	C₂²×C₄	—	4	1	no	—
1396	C₂²×C₄	—	4	1	no	—
1397	C₂²×C₄	—	4	1	no	—
1398	C₂²×C₄	—	4	16	no	—
1399	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1414	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1415	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1416	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1417	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1419	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1421	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	2	no	—
1423	C₄⋊C₄	—	2	2	no	—
1424	C₄⋊C₄	—	4	1	no	—
1425	C₄⋊C₄	—	4	1	no	—
1426	C₄⋊C₄	—	4	1	no	—
1427	C₄⋊C₄	—	4	1	no	—
1428	C₄⋊C₄	—	4	1	no	—
1429	C₄⋊C₄	—	4	1	no	—
1430	C₄⋊C₄	—	4	1	no	—
1431	C₄⋊C₄	—	4	1	no	—
1432	C₄⋊C₄	—	4	1	no	—
1433	C₄⋊C₄	—	4	1	no	—
1434	C₄⋊C₄	—	4	1	no	—
1435	C₄⋊C₄	—	4	1	no	—
1436	C₄⋊C₄	—	4	1	no	—
1437	C₄⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	2	2	no	—
1439	C₂²⋊C₄	—	2	2	no	—
1440	C₂²⋊C₄	—	2	2	no	—
1441	C₂²⋊C₄	—	2	2	no	—
1442	C₂²⋊C₄	—	2	2	no	—
1443	C₂²⋊C₄	—	2	2	no	—
1444	C₂²⋊C₄	—	2	2	no	—
1445	C₂²⋊C₄	—	2	2	no	—
1446	C₂²⋊C₄	—	2	2	no	—
1447	C₂²⋊C₄	—	2	2	no	—
1448	C₂²⋊C₄	—	2	2	no	—
1449	C₂²⋊C₄	—	2	2	no	—
1450	C₂²⋊C₄	—	2	2	no	—
1451	C₂²⋊C₄	—	2	2	no	—
1452	C₂²⋊C₄	—	4	1	no	—
1453	C₂²⋊C₄	—	4	1	no	—
1454	C₂²⋊C₄	—	4	1	no	—
1455	C₂²⋊C₄	—	4	1	no	—
1456	C₂²⋊C₄	—	4	1	no	—
1457	C₂²⋊C₄	—	4	1	no	—
1458	C₂²⋊C₄	—	4	1	no	—
1459	C₂²⋊C₄	—	4	1	no	—
1460	C₂²⋊C₄	—	4	1	no	—
1461	C₂²⋊C₄	—	4	1	no	—
1462	C₂²⋊C₄	—	4	1	no	—
1463	C₂²⋊C₄	—	4	1	no	—
1464	C₂²⋊C₄	—	4	1	no	—
1465	C₂²⋊C₄	—	4	1	no	—
1466	C₂²⋊C₄	—	4	1	no	—
1467	C₂²⋊C₄	—	4	1	no	—
1468	C₂²⋊C₄	—	4	1	no	—
1469	C₂²⋊C₄	—	4	1	no	—
1470	C₂²⋊C₄	—	4	1	no	—
1471	C₂²⋊C₄	—	4	1	no	—
1472	C₂²⋊C₄	—	4	1	no	—
1473	C₂²⋊C₄	—	4	1	no	—
1474	C₂²⋊C₄	—	4	1	no	—
1475	C₂²⋊C₄	—	4	1	no	—
1476	C₂²⋊C₄	—	4	1	no	—
1477	C₂²⋊C₄	—	4	1	no	—
1478	C₂²⋊C₄	—	4	1	no	—
1479	C₂²⋊C₄	—	4	1	no	—
1480	C₂²⋊C₄	—	4	1	no	—
1481	C₂²⋊C₄	—	4	1	no	—
1482	C₂²⋊C₄	—	4	1	no	—
1483	C₂²⋊C₄	—	4	1	no	—
1484	C₂²⋊C₄	—	4	1	no	—
1485	C₂²⋊C₄	—	4	1	no	—
1486	C₂²⋊C₄	—	4	1	no	—
1487	C₂²⋊C₄	—	4	1	no	—
1488	C₂²⋊C₄	—	4	1	no	—
1489	C₂²⋊C₄	—	4	1	no	—
1490	C₂²⋊C₄	—	4	1	no	—
1491	C₂²⋊C₄	—	4	1	no	—
1492	C₂²⋊C₄	—	4	1	no	—
1493	C₂²⋊C₄	—	4	1	no	—
1494	C₂²⋊C₄	—	4	1	no	—
1495	C₂²⋊C₄	—	4	1	no	—
1496	C₂²⋊C₄	—	4	1	no	—
1497	C₂²⋊C₄	—	4	1	no	—
1498	C₄²	—	4	1	no	—
1499	C₄²	—	4	1	no	—
1500	C₄²	—	4	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	8	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	2	1	no	—
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	2	1	no	—
1521	C₂³	—	2	1	no	—
1522	C₂³	—	2	1	no	—
1523	C₂³	—	2	1	no	—
1524	C₂³	—	2	1	no	—
1525	C₂³	—	2	1	no	—
1526	C₂³	—	2	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	8	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	2	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	2	1	no	—
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	2	1	no	—
1550	C₂³	—	2	1	no	—
1551	C₂³	—	2	1	no	—
1552	C₂³	—	4	4	no	—
1553	C₂³	—	4	4	no	—
1554	C₂³	—	4	4	no	—
1555	C₂³	—	4	4	no	—
1556	C₂³	—	4	4	no	—
1557	C₂³	—	4	4	no	—
1558	C₂³	—	4	4	no	—
1559	C₂³	—	4	4	no	—
1560	C₂³	—	4	4	no	—
1561	C₂³	—	8	2	no	—
1562	C₂³	—	8	2	no	—
1563	C₂³	—	8	2	no	—
1564	C₂³	—	8	2	no	—
1565	C₂³	—	8	2	no	—
1566	C₂³	—	8	2	no	—
1567	C₂³	—	8	2	no	—
1568	C₂³	—	8	2	no	—
1569	C₂³	—	8	2	no	—
1570	C₂³	—	8	2	no	—
1571	C₂³	C₂×#41×C₅₃	1	2	yes	—
1572	C₂³	C₂×#41×C₅₃	1	2	yes	—
1573	C₂³	C₂×#41×C₅₃	1	2	yes	—
1574	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1575	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1576	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1577	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1578	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1579	Q₈	—	8	2	no	—
1580	D₄	—	4	4	no	—
1581	D₄	—	4	4	no	—
1582	D₄	—	4	4	no	—
1583	D₄	—	4	4	no	—
1584	D₄	—	4	4	no	—
1585	D₄	—	4	4	no	—
1586	D₄	—	4	4	no	—
1587	D₄	—	4	4	no	—
1588	D₄	—	4	4	no	—
1589	D₄	—	8	2	no	—
1590	D₄	—	8	2	no	—
1591	D₄	—	8	2	no	—
1592	D₄	—	8	2	no	—
1593	D₄	—	8	2	no	—
1594	D₄	—	8	2	no	—
1595	D₄	—	8	2	no	—
1596	D₄	—	8	2	no	—
1597	D₄	—	8	2	no	—
1598	D₄	—	8	2	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	4	4	no	—
1668	C₂×C₄	—	4	4	no	—
1669	C₂×C₄	—	4	4	no	—
1670	C₂×C₄	—	4	4	no	—
1671	C₂×C₄	—	4	4	no	—
1672	C₂×C₄	—	4	4	no	—
1673	C₂×C₄	—	4	4	no	—
1674	C₂×C₄	—	4	4	no	—
1675	C₂×C₄	—	8	2	no	—
1676	C₂×C₄	—	8	2	no	—
1677	C₂×C₄	—	8	2	no	—
1678	C₂×C₄	—	8	2	no	—
1679	C₂×C₄	—	8	2	no	—
1680	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1681	C₂²	—	2	2	no	—
1682	C₂²	—	2	2	no	—
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	2	2	no	—
1686	C₂²	—	2	2	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	2	no	—
1690	C₂²	—	2	2	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	2	2	no	—
1695	C₂²	—	2	2	no	—
1696	C₂²	—	2	2	no	—
1697	C₂²	—	2	2	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	4	16	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	1	no	—
1721	C₂²	—	4	1	no	—
1722	C₂²	—	4	1	no	—
1723	C₂²	—	4	1	no	—
1724	C₂²	—	4	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	8	8	no	—
1738	C₂²	—	8	8	no	—
1739	C₂²	C₅₃×#538	1	4	yes	—
1740	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1741	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1742	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1743	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1744	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1745	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1746	C₂²	C₅₃×#585	1	1	yes	characteristic
1747	C₄	—	2	2	no	—
1748	C₄	—	4	1	no	—
1749	C₄	—	4	1	no	—
1750	C₄	—	4	1	no	—
1751	C₄	—	4	1	no	—
1752	C₄	—	4	1	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	1	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	1	no	—
1757	C₄	—	4	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₂	—	2	4	no	—
1771	C₂	—	4	2	no	—
1772	C₂	—	4	2	no	—
1773	C₂	—	4	2	no	—
1774	C₂	—	4	2	no	—
1775	C₂	—	8	1	no	—
1776	C₂	—	8	1	no	—
1777	C₂	—	8	1	no	—
1778	C₂	C₂×C₅₃×#538	1	1	yes	characteristic
1779	C₂	C₅₃×#3490	1	1	yes	characteristic
1780	C₂	C₅₃×#3505	1	1	yes	characteristic
1781	C₂	C₅₃×#3532	1	1	yes	characteristic
1782	C₂	C₅₃×#3534	1	1	yes	characteristic
1783	C₂	C₅₃×#3534	1	1	yes	characteristic
1784	C₂	C₅₃×#3537	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#2849	C₂	semidirect
2. C₅₃×#2847	C₂	semidirect
3. C₅₃×#2778	C₂	semidirect
4. C₅₃×#2778	C₂	semidirect
5. C₅₃×#2760	C₂	semidirect
6. C₅₃×#2750	C₂	semidirect
7. C₅₃×#2749	C₂	semidirect
8. C₅₃×#2749	C₂	semidirect
9. C₅₃×#2743	C₂	semidirect
10. C₅₃×#2703	C₂	semidirect
11. C₅₃×#2697	C₂	semidirect
12. C₅₃×#2696	C₂	semidirect
13. C₅₃×#2688	C₂	semidirect
14. C₅₃×#2688	C₂	semidirect
15. C₅₃×#2684	C₂	semidirect
16. C₅₃×#2678	C₂	semidirect
17. C₅₃×#2676	C₂	semidirect
18. C₅₃×#2668	C₂	semidirect
19. C₅₃×#2643	C₂	semidirect
20. C₅₃×#2639	C₂	semidirect
21. C₅₃×#2510	C₂	semidirect
22. C₅₃×#2472	C₂	semidirect
23. C₅₃×#2444	C₂	semidirect
24. C₅₃×#2437	C₂	semidirect
25. C₅₃×#2424	C₂	semidirect
26. C₅₃×#2410	C₂	semidirect
27. C₅₃×#2410	C₂	semidirect
28. C₅₃×#2403	C₂	semidirect
29. C₅₃×#2321	C₂	semidirect
30. C₅₃×#2308	C₂	semidirect
31. C₂×C₅₃×#386	C₂	semidirect
34. C₂⁴×C₄×C₅₃	C₂²	semidirect
35. C₂×#124×C₅₃	C₂²	semidirect
36. C₂×#123×C₅₃	C₂²	semidirect
37. C₂×#123×C₅₃	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
42. C₂×#121×C₅₃	C₂²	semidirect
43. C₂×#121×C₅₃	C₂²	semidirect
44. C₂×#121×C₅₃	C₂²	semidirect
45. C₂×#121×C₅₃	C₂²	semidirect
46. C₂×#121×C₅₃	C₂²	semidirect
52. C₂×#120×C₅₃	C₂²	semidirect
53. C₂×#120×C₅₃	C₂²	semidirect
54. C₂×C₄×D₄×C₅₃	C₂²	semidirect
58. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
59. C₅₃×#401	C₂²	semidirect
60. C₅₃×#401	C₂²	semidirect
61. C₅₃×#400	C₂²	semidirect
62. C₅₃×#400	C₂²	semidirect
63. C₅₃×#400	C₂²	semidirect
64. C₅₃×#400	C₂²	semidirect
65. C₅₃×#400	C₂²	semidirect
66. C₅₃×#400	C₂²	semidirect
67. C₅₃×#400	C₂²	semidirect
68. C₅₃×#399	C₂²	semidirect
69. C₅₃×#397	C₂²	semidirect
70. C₅₃×#397	C₂²	semidirect
71. C₅₃×#397	C₂²	semidirect
72. C₅₃×#397	C₂²	semidirect
73. C₅₃×#397	C₂²	semidirect
74. C₅₃×#397	C₂²	semidirect
75. C₅₃×#397	C₂²	semidirect
76. C₅₃×#397	C₂²	semidirect
77. C₅₃×#397	C₂²	semidirect
78. C₅₃×#397	C₂²	semidirect
79. C₅₃×#396	C₂²	semidirect
80. C₅₃×#396	C₂²	semidirect
81. C₅₃×#396	C₂²	semidirect
82. C₅₃×#396	C₂²	semidirect
85. C₅₃×#394	C₂²	semidirect
86. C₅₃×#394	C₂²	semidirect
87. C₅₃×#394	C₂²	semidirect
88. C₅₃×#394	C₂²	semidirect
89. C₅₃×#394	C₂²	semidirect
90. C₅₃×#394	C₂²	semidirect
91. C₅₃×#394	C₂²	semidirect
92. C₅₃×#394	C₂²	semidirect
93. C₅₃×#394	C₂²	semidirect
94. C₅₃×#393	C₂²	semidirect
95. C₅₃×#393	C₂²	semidirect
96. C₅₃×#393	C₂²	semidirect
97. C₅₃×#393	C₂²	semidirect
104. C₅₃×#392	C₂²	semidirect
105. C₅₃×#392	C₂²	semidirect
106. C₅₃×#392	C₂²	semidirect
107. C₅₃×#390	C₂²	semidirect
108. C₅₃×#390	C₂²	semidirect
109. C₅₃×#390	C₂²	semidirect
110. C₅₃×#390	C₂²	semidirect
111. C₅₃×#388	C₂²	semidirect
112. C₅₃×#388	C₂²	semidirect
113. C₅₃×#388	C₂²	semidirect
114. C₅₃×#388	C₂²	semidirect
115. C₅₃×#388	C₂²	semidirect
116. C₅₃×#388	C₂²	semidirect
117. C₅₃×#388	C₂²	semidirect
118. C₅₃×#388	C₂²	semidirect
119. C₅₃×#388	C₂²	semidirect
120. C₅₃×#388	C₂²	semidirect
121. C₅₃×#387	C₂²	semidirect
122. C₅₃×#387	C₂²	semidirect
137. C₅₃×#386	C₂²	semidirect
138. C₅₃×#386	C₂²	semidirect
139. C₅₃×#386	C₂²	semidirect
140. C₅₃×#386	C₂²	semidirect
141. C₅₃×#386	C₂²	semidirect
142. C₅₃×#386	C₂²	semidirect
143. C₅₃×#386	C₂²	semidirect
144. C₅₃×#386	C₂²	semidirect
145. C₅₃×#386	C₂²	semidirect
146. C₅₃×#386	C₂²	semidirect
147. C₅₃×#386	C₂²	semidirect
148. C₅₃×#386	C₂²	semidirect
149. C₅₃×#386	C₂²	semidirect
150. C₅₃×#386	C₂²	semidirect
151. C₅₃×#386	C₂²	semidirect
152. C₅₃×#386	C₂²	semidirect
153. C₅₃×#386	C₂²	semidirect
154. C₅₃×#386	C₂²	semidirect
155. C₅₃×#386	C₂²	semidirect
156. C₅₃×#386	C₂²	semidirect
157. C₅₃×#386	C₂²	semidirect
158. C₅₃×#386	C₂²	semidirect
159. C₅₃×#386	C₂²	semidirect
160. C₅₃×#385	C₂²	semidirect
161. C₅₃×#385	C₂²	semidirect
162. C₅₃×#385	C₂²	semidirect
163. C₅₃×#385	C₂²	semidirect
164. C₅₃×#385	C₂²	semidirect
165. C₅₃×#385	C₂²	semidirect
166. C₅₃×#385	C₂²	semidirect
167. C₅₃×#385	C₂²	semidirect
168. C₅₃×#385	C₂²	semidirect
169. C₅₃×#383	C₂²	semidirect
170. C₅₃×#381	C₂²	semidirect
171. C₅₃×#381	C₂²	semidirect
172. C₅₃×#381	C₂²	semidirect
173. C₅₃×#381	C₂²	semidirect
174. C₅₃×#381	C₂²	semidirect
175. C₅₃×#380	C₂²	semidirect
176. C₅₃×#380	C₂²	semidirect
177. C₅₃×#380	C₂²	semidirect
178. C₅₃×#380	C₂²	semidirect
180. C₅₃×#379	C₂²	semidirect
181. C₅₃×#379	C₂²	semidirect
182. C₅₃×#379	C₂²	semidirect
183. C₅₃×#379	C₂²	semidirect
184. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
185. C₂×#95×C₅₃	C₂²	semidirect
186. C₂×#95×C₅₃	C₂²	semidirect
788. #36776	C₅₃	direct (N × H)
878. #2849	C₂×C₅₃	semidirect
879. #2847	C₂×C₅₃	semidirect
880. #2778	C₂×C₅₃	semidirect
881. #2778	C₂×C₅₃	semidirect
882. #2760	C₂×C₅₃	semidirect
883. #2750	C₂×C₅₃	semidirect
884. #2749	C₂×C₅₃	semidirect
885. #2749	C₂×C₅₃	semidirect
886. #2743	C₂×C₅₃	semidirect
887. #2703	C₂×C₅₃	semidirect
888. #2697	C₂×C₅₃	semidirect
889. #2696	C₂×C₅₃	semidirect
890. #2688	C₂×C₅₃	semidirect
891. #2688	C₂×C₅₃	semidirect
892. #2684	C₂×C₅₃	semidirect
893. #2678	C₂×C₅₃	semidirect
894. #2676	C₂×C₅₃	semidirect
895. #2668	C₂×C₅₃	semidirect
896. #2643	C₂×C₅₃	semidirect
897. #2639	C₂×C₅₃	semidirect
898. #2510	C₂×C₅₃	semidirect
899. #2472	C₂×C₅₃	semidirect
900. #2444	C₂×C₅₃	semidirect
901. #2437	C₂×C₅₃	semidirect
902. #2424	C₂×C₅₃	semidirect
903. #2410	C₂×C₅₃	semidirect
904. #2410	C₂×C₅₃	semidirect
905. #2403	C₂×C₅₃	semidirect
906. #2321	C₂×C₅₃	semidirect
907. #2308	C₂×C₅₃	semidirect
908. C₂×#386	C₂×C₅₃	semidirect
926. C₂⁴×C₄	C₂²×C₅₃	semidirect
927. C₂×#124	C₂²×C₅₃	semidirect
928. C₂×#123	C₂²×C₅₃	semidirect
929. C₂×#123	C₂²×C₅₃	semidirect
930. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
931. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
934. C₂×#121	C₂²×C₅₃	semidirect
935. C₂×#121	C₂²×C₅₃	semidirect
936. C₂×#121	C₂²×C₅₃	semidirect
937. C₂×#121	C₂²×C₅₃	semidirect
938. C₂×#121	C₂²×C₅₃	semidirect
944. C₂×#120	C₂²×C₅₃	semidirect
945. C₂×#120	C₂²×C₅₃	semidirect
946. C₂×C₄×D₄	C₂²×C₅₃	semidirect
950. C₂²×C₂²⋊C₄	C₂²×C₅₃	semidirect
951. #401	C₂²×C₅₃	semidirect
952. #401	C₂²×C₅₃	semidirect
953. #400	C₂²×C₅₃	semidirect
954. #400	C₂²×C₅₃	semidirect
955. #400	C₂²×C₅₃	semidirect
956. #400	C₂²×C₅₃	semidirect
957. #400	C₂²×C₅₃	semidirect
958. #400	C₂²×C₅₃	semidirect
959. #400	C₂²×C₅₃	semidirect
960. #399	C₂²×C₅₃	semidirect
961. #397	C₂²×C₅₃	semidirect
962. #397	C₂²×C₅₃	semidirect
963. #397	C₂²×C₅₃	semidirect
964. #397	C₂²×C₅₃	semidirect
965. #397	C₂²×C₅₃	semidirect
966. #397	C₂²×C₅₃	semidirect
967. #397	C₂²×C₅₃	semidirect
968. #397	C₂²×C₅₃	semidirect
969. #397	C₂²×C₅₃	semidirect
970. #397	C₂²×C₅₃	semidirect
971. #396	C₂²×C₅₃	semidirect
972. #396	C₂²×C₅₃	semidirect
973. #396	C₂²×C₅₃	semidirect
974. #396	C₂²×C₅₃	semidirect
977. #394	C₂²×C₅₃	semidirect
978. #394	C₂²×C₅₃	semidirect
979. #394	C₂²×C₅₃	semidirect
980. #394	C₂²×C₅₃	semidirect
981. #394	C₂²×C₅₃	semidirect
982. #394	C₂²×C₅₃	semidirect
983. #394	C₂²×C₅₃	semidirect
984. #394	C₂²×C₅₃	semidirect
985. #394	C₂²×C₅₃	semidirect
986. #393	C₂²×C₅₃	semidirect
987. #393	C₂²×C₅₃	semidirect
988. #393	C₂²×C₅₃	semidirect
989. #393	C₂²×C₅₃	semidirect
996. #392	C₂²×C₅₃	semidirect
997. #392	C₂²×C₅₃	semidirect
998. #392	C₂²×C₅₃	semidirect
999. #390	C₂²×C₅₃	semidirect
1000. #390	C₂²×C₅₃	semidirect
1001. #390	C₂²×C₅₃	semidirect
1002. #390	C₂²×C₅₃	semidirect
1003. #388	C₂²×C₅₃	semidirect
1004. #388	C₂²×C₅₃	semidirect
1005. #388	C₂²×C₅₃	semidirect
1006. #388	C₂²×C₅₃	semidirect
1007. #388	C₂²×C₅₃	semidirect
1008. #388	C₂²×C₅₃	semidirect
1009. #388	C₂²×C₅₃	semidirect
1010. #388	C₂²×C₅₃	semidirect
1011. #388	C₂²×C₅₃	semidirect
1012. #388	C₂²×C₅₃	semidirect
1013. #387	C₂²×C₅₃	semidirect
1014. #387	C₂²×C₅₃	semidirect
1029. #386	C₂²×C₅₃	semidirect
1030. #386	C₂²×C₅₃	semidirect
1031. #386	C₂²×C₅₃	semidirect
1032. #386	C₂²×C₅₃	semidirect
1033. #386	C₂²×C₅₃	semidirect
1034. #386	C₂²×C₅₃	semidirect
1035. #386	C₂²×C₅₃	semidirect
1036. #386	C₂²×C₅₃	semidirect
1037. #386	C₂²×C₅₃	semidirect
1038. #386	C₂²×C₅₃	semidirect
1039. #386	C₂²×C₅₃	semidirect
1040. #386	C₂²×C₅₃	semidirect
1041. #386	C₂²×C₅₃	semidirect
1042. #386	C₂²×C₅₃	semidirect
1043. #386	C₂²×C₅₃	semidirect
1044. #386	C₂²×C₅₃	semidirect
1045. #386	C₂²×C₅₃	semidirect
1046. #386	C₂²×C₅₃	semidirect
1047. #386	C₂²×C₅₃	semidirect
1048. #386	C₂²×C₅₃	semidirect
1049. #386	C₂²×C₅₃	semidirect
1050. #386	C₂²×C₅₃	semidirect
1051. #386	C₂²×C₅₃	semidirect
1052. #385	C₂²×C₅₃	semidirect
1053. #385	C₂²×C₅₃	semidirect
1054. #385	C₂²×C₅₃	semidirect
1055. #385	C₂²×C₅₃	semidirect
1056. #385	C₂²×C₅₃	semidirect
1057. #385	C₂²×C₅₃	semidirect
1058. #385	C₂²×C₅₃	semidirect
1059. #385	C₂²×C₅₃	semidirect
1060. #385	C₂²×C₅₃	semidirect
1061. #383	C₂²×C₅₃	semidirect
1062. #381	C₂²×C₅₃	semidirect
1063. #381	C₂²×C₅₃	semidirect
1064. #381	C₂²×C₅₃	semidirect
1065. #381	C₂²×C₅₃	semidirect
1066. #381	C₂²×C₅₃	semidirect
1067. #380	C₂²×C₅₃	semidirect
1068. #380	C₂²×C₅₃	semidirect
1069. #380	C₂²×C₅₃	semidirect
1070. #380	C₂²×C₅₃	semidirect
1072. #379	C₂²×C₅₃	semidirect
1073. #379	C₂²×C₅₃	semidirect
1074. #379	C₂²×C₅₃	semidirect
1075. #379	C₂²×C₅₃	semidirect
1076. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1077. C₂×#95	C₂²×C₅₃	semidirect
1078. C₂×#95	C₂²×C₅₃	semidirect
1079. C₅₃	#36776	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₃×#2849	2
C₅₃×#2847	2
C₅₃×#2778	2
C₅₃×#2760	2
C₅₃×#2750	2
C₅₃×#2749	2
C₅₃×#2743	2
C₅₃×#2703	2
C₅₃×#2697	2
C₅₃×#2696	2
C₅₃×#2688	2
C₅₃×#2684	2
C₅₃×#2678	2
C₅₃×#2676	2
C₅₃×#2668	2
C₅₃×#2643	2
C₅₃×#2639	2
C₅₃×#2510	2
C₅₃×#2472	2
C₅₃×#2444	2
C₅₃×#2437	2
C₅₃×#2424	2
C₅₃×#2410	2
C₅₃×#2403	2
C₅₃×#2321	2
C₅₃×#2308	2
C₂×C₅₃×#386	2
#36776	53

Subgroups — C53×#36776 #27244288

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36776 #27244288