Subgroups — C₅₃×#36808 #27244320

Order 13568.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#2797	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#2761	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#2756	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#2753	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#2752	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#2751	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#2730	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#2714	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#2714	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#2703	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#2685	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×#2670	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#2622	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#2617	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#2481	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#2443	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×#390	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	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
42	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
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×#120×C₅₃	C₂²	1	1	yes	characteristic
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, complemented
52	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊C₄×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	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄²×C₅₃	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×#399	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#399	C₂²	1	1	yes	characteristic, complemented
65	C₅₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
67	C₅₃×#397	C₂²	1	1	yes	characteristic, complemented
68	C₅₃×#397	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×#396	C₂²	1	1	yes	characteristic, complemented
76	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
77	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#394	C₂²	1	1	yes	characteristic
80	C₅₃×#394	C₂²	1	1	yes	characteristic
81	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
84	C₅₃×#394	C₂²	1	1	yes	characteristic, complemented
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×#394	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#394	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×#392	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#392	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#391	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#390	C₂²	1	1	yes	characteristic
111	C₅₃×#390	C₂²	1	1	yes	characteristic
112	C₅₃×#390	C₂²	1	1	yes	characteristic
113	C₅₃×#390	C₂²	1	1	yes	characteristic
114	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
116	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
118	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#390	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
124	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
128	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
129	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
130	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
131	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
132	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
133	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
134	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#388	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
142	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
143	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#387	C₂²	1	1	yes	characteristic, complemented
145	C₅₃×#386	C₂²	1	1	yes	characteristic
146	C₅₃×#386	C₂²	1	1	yes	characteristic
147	C₅₃×#386	C₂²	1	1	yes	characteristic
148	C₅₃×#386	C₂²	1	1	yes	characteristic
149	C₅₃×#386	C₂²	1	1	yes	characteristic
150	C₅₃×#386	C₂²	1	1	yes	characteristic
151	C₅₃×#386	C₂²	1	1	yes	characteristic
152	C₅₃×#386	C₂²	1	1	yes	characteristic
153	C₅₃×#386	C₂²	1	1	yes	characteristic
154	C₅₃×#386	C₂²	1	1	yes	characteristic
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×#386	C₂²	1	1	yes	characteristic, complemented
161	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
165	C₅₃×#386	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#386	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×#385	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
171	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#383	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#382	C₂²	1	1	yes	characteristic, complemented
177	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
178	C₅₃×#381	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#379	C₂²	1	1	yes	characteristic
182	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#379	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×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	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
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	#126×C₅₃	—	4	2	no	—
226	#126×C₅₃	—	4	2	no	—
227	#124×C₅₃	—	4	2	no	—
228	#124×C₅₃	—	4	2	no	—
229	#123×C₅₃	—	4	2	no	—
230	C₂²⋊Q₈×C₅₃	—	4	2	no	—
231	C₂²⋊Q₈×C₅₃	—	4	2	no	—
232	#121×C₅₃	—	4	2	no	—
233	#121×C₅₃	—	4	2	no	—
234	#121×C₅₃	—	4	2	no	—
235	#121×C₅₃	—	4	2	no	—
236	#121×C₅₃	—	4	2	no	—
237	#120×C₅₃	—	2	4	no	—
238	#120×C₅₃	—	4	2	no	—
239	#120×C₅₃	—	4	2	no	—
240	#120×C₅₃	—	4	2	no	—
241	#120×C₅₃	—	4	2	no	—
242	#120×C₅₃	—	4	2	no	—
243	#120×C₅₃	—	4	2	no	—
244	C₄×D₄×C₅₃	—	4	2	no	—
245	C₂×C₄⋊C₄×C₅₃	—	4	2	no	—
246	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₃	—	4	2	no	—
267	C₂×C₂²⋊C₄×C₅₃	—	4	2	no	—
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	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₅₃	—	4	2	no	—
336	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×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	—	4	1	no	—
382	C₂⁴×C₅₃	—	4	1	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	—	2	2	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	—	4	1	no	—
430	C₂×D₄×C₅₃	—	4	1	no	—
431	C₂×D₄×C₅₃	—	4	1	no	—
432	C₂×D₄×C₅₃	—	4	1	no	—
433	C₂×D₄×C₅₃	—	4	1	no	—
434	C₂×D₄×C₅₃	—	4	1	no	—
435	C₂×D₄×C₅₃	—	4	1	no	—
436	C₂×D₄×C₅₃	—	4	1	no	—
437	C₂×D₄×C₅₃	—	4	16	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	1	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	—	4	1	no	—
476	C₂²×C₄×C₅₃	—	4	1	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	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₅₃	—	2	2	no	—
517	C₄⋊C₄×C₅₃	—	2	2	no	—
518	C₄⋊C₄×C₅₃	—	2	2	no	—
519	C₄⋊C₄×C₅₃	—	2	2	no	—
520	C₄⋊C₄×C₅₃	—	2	2	no	—
521	C₄⋊C₄×C₅₃	—	4	1	no	—
522	C₄⋊C₄×C₅₃	—	4	1	no	—
523	C₄⋊C₄×C₅₃	—	4	1	no	—
524	C₄⋊C₄×C₅₃	—	4	1	no	—
525	C₄⋊C₄×C₅₃	—	4	1	no	—
526	C₄⋊C₄×C₅₃	—	4	1	no	—
527	C₄⋊C₄×C₅₃	—	4	1	no	—
528	C₄⋊C₄×C₅₃	—	4	1	no	—
529	C₄⋊C₄×C₅₃	—	4	1	no	—
530	C₄⋊C₄×C₅₃	—	4	1	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	C₂²⋊C₄×C₅₃	—	2	2	no	—
537	C₂²⋊C₄×C₅₃	—	2	2	no	—
538	C₂²⋊C₄×C₅₃	—	2	2	no	—
539	C₂²⋊C₄×C₅₃	—	2	2	no	—
540	C₂²⋊C₄×C₅₃	—	2	2	no	—
541	C₂²⋊C₄×C₅₃	—	2	2	no	—
542	C₂²⋊C₄×C₅₃	—	2	2	no	—
543	C₂²⋊C₄×C₅₃	—	2	2	no	—
544	C₂²⋊C₄×C₅₃	—	2	2	no	—
545	C₂²⋊C₄×C₅₃	—	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	—	4	1	no	—
555	C₂²⋊C₄×C₅₃	—	4	1	no	—
556	C₂²⋊C₄×C₅₃	—	4	1	no	—
557	C₂²⋊C₄×C₅₃	—	4	1	no	—
558	C₂²⋊C₄×C₅₃	—	4	1	no	—
559	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	C₄²×C₅₃	—	2	2	no	—
601	C₄²×C₅₃	—	2	2	no	—
602	C₄²×C₅₃	—	4	1	no	—
603	C₄²×C₅₃	—	4	1	no	—
604	C₄²×C₅₃	—	4	1	no	—
605	C₄²×C₅₃	—	4	1	no	—
606	C₄²×C₅₃	—	4	1	no	—
607	C₂³×C₅₃	—	2	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	1	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	8	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	1	no	—
638	C₂³×C₅₃	—	2	1	no	—
639	C₂³×C₅₃	—	2	1	no	—
640	C₂³×C₅₃	—	2	1	no	—
641	C₂³×C₅₃	—	2	1	no	—
642	C₂³×C₅₃	—	2	1	no	—
643	C₂³×C₅₃	—	2	1	no	—
644	C₂³×C₅₃	—	2	1	no	—
645	C₂³×C₅₃	—	2	1	no	—
646	C₂³×C₅₃	—	2	1	no	—
647	C₂³×C₅₃	—	2	1	no	—
648	C₂³×C₅₃	—	2	1	no	—
649	C₂³×C₅₃	—	2	1	no	—
650	C₂³×C₅₃	—	2	1	no	—
651	C₂³×C₅₃	—	2	1	no	—
652	C₂³×C₅₃	—	2	1	no	—
653	C₂³×C₅₃	—	2	1	no	—
654	C₂³×C₅₃	—	2	1	no	—
655	C₂³×C₅₃	—	2	1	no	—
656	C₂³×C₅₃	—	2	1	no	—
657	C₂³×C₅₃	—	2	1	no	—
658	C₂³×C₅₃	—	2	1	no	—
659	C₂³×C₅₃	—	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	—	8	2	no	—
666	C₂³×C₅₃	—	8	2	no	—
667	C₂³×C₅₃	—	8	2	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	—	8	2	no	—
679	C₂³×C₅₃	C₂×#41	1	2	yes	—
680	C₂³×C₅₃	C₂×#41	1	2	yes	—
681	C₂³×C₅₃	C₂×#41	1	2	yes	—
682	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
683	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
684	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
685	Q₈×C₅₃	—	8	2	no	—
686	D₄×C₅₃	—	4	4	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	—	8	2	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	C₂×C₄×C₅₃	—	2	8	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	—	4	4	no	—
773	C₂×C₄×C₅₃	—	4	4	no	—
774	C₂×C₄×C₅₃	—	4	4	no	—
775	C₂×C₄×C₅₃	—	8	2	no	—
776	C₂×C₄×C₅₃	—	8	2	no	—
777	C₂×C₄×C₅₃	—	8	2	no	—
778	C₂×C₄×C₅₃	—	8	2	no	—
779	C₂×C₄×C₅₃	—	8	2	no	—
780	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
781	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
782	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
783	#36808	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
784	C₂²×C₅₃	—	2	2	no	—
785	C₂²×C₅₃	—	2	2	no	—
786	C₂²×C₅₃	—	2	2	no	—
787	C₂²×C₅₃	—	2	2	no	—
788	C₂²×C₅₃	—	2	2	no	—
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	—	4	1	no	—
797	C₂²×C₅₃	—	4	1	no	—
798	C₂²×C₅₃	—	4	1	no	—
799	C₂²×C₅₃	—	4	1	no	—
800	C₂²×C₅₃	—	4	1	no	—
801	C₂²×C₅₃	—	4	1	no	—
802	C₂²×C₅₃	—	4	1	no	—
803	C₂²×C₅₃	—	4	1	no	—
804	C₂²×C₅₃	—	4	1	no	—
805	C₂²×C₅₃	—	4	1	no	—
806	C₂²×C₅₃	—	4	1	no	—
807	C₂²×C₅₃	—	4	1	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	—	8	8	no	—
840	C₂²×C₅₃	—	8	8	no	—
841	C₂²×C₅₃	—	8	8	no	—
842	C₂²×C₅₃	#538	1	4	yes	—
843	C₂²×C₅₃	C₂²×#41	1	1	yes	characteristic
844	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
845	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
846	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
847	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
848	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
849	C₂²×C₅₃	#585	1	1	yes	characteristic
850	C₄×C₅₃	—	2	2	no	—
851	C₄×C₅₃	—	2	2	no	—
852	C₄×C₅₃	—	2	2	no	—
853	C₄×C₅₃	—	4	1	no	—
854	C₄×C₅₃	—	4	1	no	—
855	C₄×C₅₃	—	4	1	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	#2852	C₂×C₅₃	1	1	yes	characteristic, complemented
874	#2850	C₂×C₅₃	1	1	yes	characteristic, complemented
875	#2797	C₂×C₅₃	1	1	yes	characteristic, complemented
876	#2761	C₂×C₅₃	1	1	yes	characteristic, complemented
877	#2756	C₂×C₅₃	1	1	yes	characteristic, complemented
878	#2753	C₂×C₅₃	1	1	yes	characteristic, complemented
879	#2752	C₂×C₅₃	1	1	yes	characteristic, complemented
880	#2751	C₂×C₅₃	1	1	yes	characteristic, complemented
881	#2749	C₂×C₅₃	1	1	yes	characteristic, complemented
882	#2730	C₂×C₅₃	1	1	yes	characteristic, complemented
883	#2714	C₂×C₅₃	1	1	yes	characteristic, complemented
884	#2714	C₂×C₅₃	1	1	yes	characteristic, complemented
885	#2703	C₂×C₅₃	1	1	yes	characteristic, complemented
886	#2685	C₂×C₅₃	1	1	yes	characteristic, complemented
887	#2685	C₂×C₅₃	1	1	yes	characteristic, complemented
888	#2678	C₂×C₅₃	1	1	yes	characteristic, complemented
889	#2676	C₂×C₅₃	1	1	yes	characteristic, complemented
890	#2670	C₂×C₅₃	1	1	yes	characteristic, complemented
891	#2622	C₂×C₅₃	1	1	yes	characteristic, complemented
892	#2617	C₂×C₅₃	1	1	yes	characteristic, complemented
893	#2481	C₂×C₅₃	1	1	yes	characteristic, complemented
894	#2472	C₂×C₅₃	1	1	yes	characteristic, complemented
895	#2443	C₂×C₅₃	1	1	yes	characteristic, complemented
896	#2437	C₂×C₅₃	1	1	yes	characteristic, complemented
897	#2424	C₂×C₅₃	1	1	yes	characteristic, complemented
898	#2410	C₂×C₅₃	1	1	yes	characteristic, complemented
899	#2410	C₂×C₅₃	1	1	yes	characteristic, complemented
900	#2403	C₂×C₅₃	1	1	yes	characteristic, complemented
901	#2321	C₂×C₅₃	1	1	yes	characteristic, complemented
902	#2308	C₂×C₅₃	1	1	yes	characteristic, complemented
903	C₂×#390	C₂×C₅₃	1	1	yes	characteristic, complemented
904	C₂×C₅₃	—	2	4	no	—
905	C₂×C₅₃	—	4	2	no	—
906	C₂×C₅₃	—	4	2	no	—
907	C₂×C₅₃	—	8	1	no	—
908	C₂×C₅₃	—	8	1	no	—
909	C₂×C₅₃	—	8	1	no	—
910	C₂×C₅₃	—	8	1	no	—
911	C₂×C₅₃	—	8	1	no	—
912	C₂×C₅₃	C₂×#538	1	1	yes	characteristic
913	C₂×C₅₃	#3490	1	1	yes	characteristic
914	C₂×C₅₃	#3505	1	1	yes	characteristic
915	C₂×C₅₃	#3537	1	1	yes	characteristic
916	C₂×C₅₃	#3542	1	1	yes	characteristic
917	C₂×C₅₃	#3543	1	1	yes	characteristic
918	C₂×C₅₃	#3558	1	1	yes	characteristic
919	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
920	C₂³×D₄	C₂²×C₅₃	1	1	yes	characteristic
921	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
922	C₂×#126	C₂²×C₅₃	1	1	yes	characteristic, complemented
923	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
924	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	C₂×#123	C₂²×C₅₃	1	1	yes	characteristic, complemented
926	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
927	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
929	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic
930	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	C₂×#121	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
934	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
935	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
936	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
937	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic
938	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
939	C₂×#120	C₂²×C₅₃	1	1	yes	characteristic, complemented
940	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
941	C₂²×C₄⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
942	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
943	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
944	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic
945	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	C₂²×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	C₂²×C₄²	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#400	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#399	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#398	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#397	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#396	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#394	C₂²×C₅₃	1	1	yes	characteristic
967	#394	C₂²×C₅₃	1	1	yes	characteristic
968	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
969	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#394	C₂²×C₅₃	1	1	yes	characteristic, complemented
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	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
984	#393	C₂²×C₅₃	1	1	yes	characteristic, complemented
985	#392	C₂²×C₅₃	1	1	yes	characteristic
986	#392	C₂²×C₅₃	1	1	yes	characteristic
987	#392	C₂²×C₅₃	1	1	yes	characteristic
988	#392	C₂²×C₅₃	1	1	yes	characteristic
989	#392	C₂²×C₅₃	1	1	yes	characteristic
990	#392	C₂²×C₅₃	1	1	yes	characteristic
991	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
992	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
993	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	#392	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#391	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#390	C₂²×C₅₃	1	1	yes	characteristic
998	#390	C₂²×C₅₃	1	1	yes	characteristic
999	#390	C₂²×C₅₃	1	1	yes	characteristic
1000	#390	C₂²×C₅₃	1	1	yes	characteristic
1001	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1002	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1003	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1004	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1005	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1007	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1008	#390	C₂²×C₅₃	1	1	yes	characteristic, complemented
1009	#390	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	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1016	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1017	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1018	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1021	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1022	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1023	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1024	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1025	#388	C₂²×C₅₃	1	1	yes	characteristic, complemented
1026	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1027	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1028	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1029	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1030	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1031	#387	C₂²×C₅₃	1	1	yes	characteristic, complemented
1032	#386	C₂²×C₅₃	1	1	yes	characteristic
1033	#386	C₂²×C₅₃	1	1	yes	characteristic
1034	#386	C₂²×C₅₃	1	1	yes	characteristic
1035	#386	C₂²×C₅₃	1	1	yes	characteristic
1036	#386	C₂²×C₅₃	1	1	yes	characteristic
1037	#386	C₂²×C₅₃	1	1	yes	characteristic
1038	#386	C₂²×C₅₃	1	1	yes	characteristic
1039	#386	C₂²×C₅₃	1	1	yes	characteristic
1040	#386	C₂²×C₅₃	1	1	yes	characteristic
1041	#386	C₂²×C₅₃	1	1	yes	characteristic
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	#386	C₂²×C₅₃	1	1	yes	characteristic, complemented
1053	#386	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	#385	C₂²×C₅₃	1	1	yes	characteristic, complemented
1062	#383	C₂²×C₅₃	1	1	yes	characteristic, complemented
1063	#382	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	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1067	#380	C₂²×C₅₃	1	1	yes	characteristic, complemented
1068	#379	C₂²×C₅₃	1	1	yes	characteristic
1069	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1070	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1071	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1072	#379	C₂²×C₅₃	1	1	yes	characteristic, complemented
1073	C₄×C₂²⋊C₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1074	C₅₃	#36808	1	1	yes	characteristic, direct product factor, Sylow
1075	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1076	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1077	C₂⁵	C₂³×C₅₃	1	1	yes	characteristic
1078	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1079	C₂²×D₄	—	2	4	no	—
1080	C₂²×D₄	—	2	4	no	—
1081	C₂²×D₄	—	4	2	no	—
1082	C₂²×D₄	—	4	2	no	—
1083	C₂²×D₄	—	4	2	no	—
1084	C₂²×D₄	—	4	2	no	—
1085	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
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	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1110	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1111	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1112	C₂³×C₄	C₂³×C₅₃	1	1	yes	characteristic
1113	#126	—	4	2	no	—
1114	#126	—	4	2	no	—
1115	#124	—	4	2	no	—
1116	#124	—	4	2	no	—
1117	#123	—	4	2	no	—
1118	C₂²⋊Q₈	—	4	2	no	—
1119	C₂²⋊Q₈	—	4	2	no	—
1120	#121	—	4	2	no	—
1121	#121	—	4	2	no	—
1122	#121	—	4	2	no	—
1123	#121	—	4	2	no	—
1124	#121	—	4	2	no	—
1125	#120	—	2	4	no	—
1126	#120	—	4	2	no	—
1127	#120	—	4	2	no	—
1128	#120	—	4	2	no	—
1129	#120	—	4	2	no	—
1130	#120	—	4	2	no	—
1131	#120	—	4	2	no	—
1132	C₄×D₄	—	4	2	no	—
1133	C₂×C₄⋊C₄	—	4	2	no	—
1134	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1136	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1138	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1139	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1140	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1141	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1143	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	4	2	no	—
1155	C₂×C₂²⋊C₄	—	4	2	no	—
1156	C₂×C₂²⋊C₄	—	4	2	no	—
1157	C₂×C₂²⋊C₄	—	4	2	no	—
1158	C₂×C₂²⋊C₄	—	4	2	no	—
1159	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
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×C₄²	—	4	2	no	—
1224	C₂×C₄²	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	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1229	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1230	C₂×C₄²	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	C₂⁴	—	2	2	no	—
1264	C₂⁴	—	2	2	no	—
1265	C₂⁴	—	2	2	no	—
1266	C₂⁴	—	2	2	no	—
1267	C₂⁴	—	2	2	no	—
1268	C₂⁴	—	2	2	no	—
1269	C₂⁴	—	4	1	no	—
1270	C₂⁴	—	4	1	no	—
1271	C₂⁴	—	4	1	no	—
1272	C₂⁴	—	4	1	no	—
1273	C₂⁴	—	4	1	no	—
1274	C₂⁴	—	4	1	no	—
1275	C₂⁴	—	4	1	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	#41×C₅₃	1	4	yes	—
1284	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1285	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1286	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1287	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
1288	C₂⁴	C₂⁴×C₅₃	1	1	yes	characteristic
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	C₂×Q₈	—	2	2	no	—
1293	C₂×Q₈	—	4	1	no	—
1294	C₂×Q₈	—	4	1	no	—
1295	C₂×D₄	—	2	2	no	—
1296	C₂×D₄	—	2	2	no	—
1297	C₂×D₄	—	2	2	no	—
1298	C₂×D₄	—	2	2	no	—
1299	C₂×D₄	—	2	2	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	—	4	1	no	—
1318	C₂×D₄	—	4	1	no	—
1319	C₂×D₄	—	4	1	no	—
1320	C₂×D₄	—	4	1	no	—
1321	C₂×D₄	—	4	1	no	—
1322	C₂×D₄	—	4	1	no	—
1323	C₂×D₄	—	4	1	no	—
1324	C₂×D₄	—	4	1	no	—
1325	C₂×D₄	—	4	16	no	—
1326	C₂×D₄	—	4	1	no	—
1327	C₂×D₄	—	4	1	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	16	no	—
1354	C₂²×C₄	—	2	2	no	—
1355	C₂²×C₄	—	2	2	no	—
1356	C₂²×C₄	—	2	2	no	—
1357	C₂²×C₄	—	2	2	no	—
1358	C₂²×C₄	—	2	2	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	—	4	1	no	—
1364	C₂²×C₄	—	4	1	no	—
1365	C₂²×C₄	—	4	1	no	—
1366	C₂²×C₄	—	4	1	no	—
1367	C₂²×C₄	—	4	1	no	—
1368	C₂²×C₄	—	4	1	no	—
1369	C₂²×C₄	—	4	1	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	C₂⁴×C₅₃	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1386	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1387	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1388	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1389	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1390	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1391	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1392	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1394	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1395	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1405	C₄⋊C₄	—	2	2	no	—
1406	C₄⋊C₄	—	2	2	no	—
1407	C₄⋊C₄	—	2	2	no	—
1408	C₄⋊C₄	—	2	2	no	—
1409	C₄⋊C₄	—	4	1	no	—
1410	C₄⋊C₄	—	4	1	no	—
1411	C₄⋊C₄	—	4	1	no	—
1412	C₄⋊C₄	—	4	1	no	—
1413	C₄⋊C₄	—	4	1	no	—
1414	C₄⋊C₄	—	4	1	no	—
1415	C₄⋊C₄	—	4	1	no	—
1416	C₄⋊C₄	—	4	1	no	—
1417	C₄⋊C₄	—	4	1	no	—
1418	C₄⋊C₄	—	4	1	no	—
1419	C₄⋊C₄	—	4	1	no	—
1420	C₄⋊C₄	—	4	1	no	—
1421	C₄⋊C₄	—	4	1	no	—
1422	C₄⋊C₄	—	4	1	no	—
1423	C₄⋊C₄	—	4	1	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	2	2	no	—
1432	C₂²⋊C₄	—	2	2	no	—
1433	C₂²⋊C₄	—	2	2	no	—
1434	C₂²⋊C₄	—	2	2	no	—
1435	C₂²⋊C₄	—	2	2	no	—
1436	C₂²⋊C₄	—	2	2	no	—
1437	C₂²⋊C₄	—	2	2	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	—	4	1	no	—
1443	C₂²⋊C₄	—	4	1	no	—
1444	C₂²⋊C₄	—	4	1	no	—
1445	C₂²⋊C₄	—	4	1	no	—
1446	C₂²⋊C₄	—	4	1	no	—
1447	C₂²⋊C₄	—	4	1	no	—
1448	C₂²⋊C₄	—	4	1	no	—
1449	C₂²⋊C₄	—	4	1	no	—
1450	C₂²⋊C₄	—	4	1	no	—
1451	C₂²⋊C₄	—	4	1	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	C₄²	—	2	2	no	—
1489	C₄²	—	2	2	no	—
1490	C₄²	—	4	1	no	—
1491	C₄²	—	4	1	no	—
1492	C₄²	—	4	1	no	—
1493	C₄²	—	4	1	no	—
1494	C₄²	—	4	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	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	1	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	8	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	1	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	—	4	4	no	—
1548	C₂³	—	4	4	no	—
1549	C₂³	—	4	4	no	—
1550	C₂³	—	4	4	no	—
1551	C₂³	—	4	4	no	—
1552	C₂³	—	4	4	no	—
1553	C₂³	—	8	2	no	—
1554	C₂³	—	8	2	no	—
1555	C₂³	—	8	2	no	—
1556	C₂³	—	8	2	no	—
1557	C₂³	—	8	2	no	—
1558	C₂³	—	8	2	no	—
1559	C₂³	—	8	2	no	—
1560	C₂³	—	8	2	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	C₂×#41×C₅₃	1	2	yes	—
1568	C₂³	C₂×#41×C₅₃	1	2	yes	—
1569	C₂³	C₂×#41×C₅₃	1	2	yes	—
1570	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1571	C₂³	H(5,𝔽₂)×C₅₃	1	2	yes	—
1572	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1573	Q₈	—	8	2	no	—
1574	D₄	—	4	4	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	4	no	—
1577	D₄	—	4	4	no	—
1578	D₄	—	4	4	no	—
1579	D₄	—	4	4	no	—
1580	D₄	—	4	4	no	—
1581	D₄	—	4	4	no	—
1582	D₄	—	4	4	no	—
1583	D₄	—	8	2	no	—
1584	D₄	—	8	2	no	—
1585	D₄	—	8	2	no	—
1586	D₄	—	8	2	no	—
1587	D₄	—	8	2	no	—
1588	D₄	—	8	2	no	—
1589	D₄	—	8	2	no	—
1590	D₄	—	8	2	no	—
1591	D₄	—	8	2	no	—
1592	D₄	—	8	2	no	—
1593	C₂×C₄	—	2	8	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	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	—	4	4	no	—
1661	C₂×C₄	—	4	4	no	—
1662	C₂×C₄	—	4	4	no	—
1663	C₂×C₄	—	8	2	no	—
1664	C₂×C₄	—	8	2	no	—
1665	C₂×C₄	—	8	2	no	—
1666	C₂×C₄	—	8	2	no	—
1667	C₂×C₄	—	8	2	no	—
1668	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1669	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1670	C₂×C₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
1671	C₂²	—	2	2	no	—
1672	C₂²	—	2	2	no	—
1673	C₂²	—	2	2	no	—
1674	C₂²	—	2	2	no	—
1675	C₂²	—	2	2	no	—
1676	C₂²	—	2	2	no	—
1677	C₂²	—	2	2	no	—
1678	C₂²	—	2	2	no	—
1679	C₂²	—	2	2	no	—
1680	C₂²	—	2	2	no	—
1681	C₂²	—	2	2	no	—
1682	C₂²	—	2	2	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	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	—	8	8	no	—
1727	C₂²	—	8	8	no	—
1728	C₂²	—	8	8	no	—
1729	C₂²	C₅₃×#538	1	4	yes	—
1730	C₂²	C₂²×#41×C₅₃	1	1	yes	characteristic
1731	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1732	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1733	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1734	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1735	C₂²	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1736	C₂²	C₅₃×#585	1	1	yes	characteristic
1737	C₄	—	2	2	no	—
1738	C₄	—	2	2	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	4	1	no	—
1746	C₄	—	4	1	no	—
1747	C₄	—	4	1	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	C₂	—	2	4	no	—
1761	C₂	—	4	2	no	—
1762	C₂	—	4	2	no	—
1763	C₂	—	8	1	no	—
1764	C₂	—	8	1	no	—
1765	C₂	—	8	1	no	—
1766	C₂	—	8	1	no	—
1767	C₂	—	8	1	no	—
1768	C₂	C₂×C₅₃×#538	1	1	yes	characteristic
1769	C₂	C₅₃×#3490	1	1	yes	characteristic
1770	C₂	C₅₃×#3505	1	1	yes	characteristic
1771	C₂	C₅₃×#3537	1	1	yes	characteristic
1772	C₂	C₅₃×#3542	1	1	yes	characteristic
1773	C₂	C₅₃×#3543	1	1	yes	characteristic
1774	C₂	C₅₃×#3558	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×#2852	C₂	semidirect
2. C₅₃×#2850	C₂	semidirect
3. C₅₃×#2797	C₂	semidirect
4. C₅₃×#2761	C₂	semidirect
5. C₅₃×#2756	C₂	semidirect
6. C₅₃×#2753	C₂	semidirect
7. C₅₃×#2752	C₂	semidirect
8. C₅₃×#2751	C₂	semidirect
9. C₅₃×#2749	C₂	semidirect
10. C₅₃×#2730	C₂	semidirect
11. C₅₃×#2714	C₂	semidirect
12. C₅₃×#2714	C₂	semidirect
13. C₅₃×#2703	C₂	semidirect
14. C₅₃×#2685	C₂	semidirect
15. C₅₃×#2685	C₂	semidirect
16. C₅₃×#2678	C₂	semidirect
17. C₅₃×#2676	C₂	semidirect
18. C₅₃×#2670	C₂	semidirect
19. C₅₃×#2622	C₂	semidirect
20. C₅₃×#2617	C₂	semidirect
21. C₅₃×#2481	C₂	semidirect
22. C₅₃×#2472	C₂	semidirect
23. C₅₃×#2443	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×#390	C₂	semidirect
34. C₂×#126×C₅₃	C₂²	semidirect
35. C₂×#126×C₅₃	C₂²	semidirect
36. C₂×#124×C₅₃	C₂²	semidirect
37. C₂×#124×C₅₃	C₂²	semidirect
38. C₂×#123×C₅₃	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
43. C₂×#121×C₅₃	C₂²	semidirect
44. C₂×#121×C₅₃	C₂²	semidirect
45. C₂×#121×C₅₃	C₂²	semidirect
51. C₂×#120×C₅₃	C₂²	semidirect
52. C₂×#120×C₅₃	C₂²	semidirect
53. C₂×C₄×D₄×C₅₃	C₂²	semidirect
54. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
58. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
59. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
60. C₂²×C₄²×C₅₃	C₂²	semidirect
61. C₅₃×#400	C₂²	semidirect
62. C₅₃×#400	C₂²	semidirect
63. C₅₃×#399	C₂²	semidirect
64. C₅₃×#399	C₂²	semidirect
65. C₅₃×#398	C₂²	semidirect
66. C₅₃×#397	C₂²	semidirect
67. C₅₃×#397	C₂²	semidirect
68. C₅₃×#397	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×#396	C₂²	semidirect
76. C₅₃×#396	C₂²	semidirect
77. C₅₃×#396	C₂²	semidirect
78. C₅₃×#396	C₂²	semidirect
81. C₅₃×#394	C₂²	semidirect
82. C₅₃×#394	C₂²	semidirect
83. C₅₃×#394	C₂²	semidirect
84. C₅₃×#394	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×#394	C₂²	semidirect
95. C₅₃×#394	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×#392	C₂²	semidirect
108. C₅₃×#392	C₂²	semidirect
109. C₅₃×#391	C₂²	semidirect
114. C₅₃×#390	C₂²	semidirect
115. C₅₃×#390	C₂²	semidirect
116. C₅₃×#390	C₂²	semidirect
117. C₅₃×#390	C₂²	semidirect
118. C₅₃×#390	C₂²	semidirect
119. C₅₃×#390	C₂²	semidirect
120. C₅₃×#390	C₂²	semidirect
121. C₅₃×#390	C₂²	semidirect
122. C₅₃×#390	C₂²	semidirect
123. C₅₃×#388	C₂²	semidirect
124. C₅₃×#388	C₂²	semidirect
125. C₅₃×#388	C₂²	semidirect
126. C₅₃×#388	C₂²	semidirect
127. C₅₃×#388	C₂²	semidirect
128. C₅₃×#388	C₂²	semidirect
129. C₅₃×#388	C₂²	semidirect
130. C₅₃×#388	C₂²	semidirect
131. C₅₃×#388	C₂²	semidirect
132. C₅₃×#388	C₂²	semidirect
133. C₅₃×#388	C₂²	semidirect
134. C₅₃×#388	C₂²	semidirect
135. C₅₃×#388	C₂²	semidirect
136. C₅₃×#388	C₂²	semidirect
137. C₅₃×#388	C₂²	semidirect
138. C₅₃×#388	C₂²	semidirect
139. C₅₃×#387	C₂²	semidirect
140. C₅₃×#387	C₂²	semidirect
141. C₅₃×#387	C₂²	semidirect
142. C₅₃×#387	C₂²	semidirect
143. C₅₃×#387	C₂²	semidirect
144. C₅₃×#387	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×#386	C₂²	semidirect
161. C₅₃×#386	C₂²	semidirect
162. C₅₃×#386	C₂²	semidirect
163. C₅₃×#386	C₂²	semidirect
164. C₅₃×#386	C₂²	semidirect
165. C₅₃×#386	C₂²	semidirect
166. C₅₃×#386	C₂²	semidirect
167. C₅₃×#385	C₂²	semidirect
168. C₅₃×#385	C₂²	semidirect
169. C₅₃×#385	C₂²	semidirect
170. C₅₃×#385	C₂²	semidirect
171. C₅₃×#385	C₂²	semidirect
172. C₅₃×#385	C₂²	semidirect
173. C₅₃×#385	C₂²	semidirect
174. C₅₃×#385	C₂²	semidirect
175. C₅₃×#383	C₂²	semidirect
176. C₅₃×#382	C₂²	semidirect
177. C₅₃×#381	C₂²	semidirect
178. C₅₃×#381	C₂²	semidirect
179. C₅₃×#380	C₂²	semidirect
180. C₅₃×#380	C₂²	semidirect
182. C₅₃×#379	C₂²	semidirect
183. C₅₃×#379	C₂²	semidirect
184. C₅₃×#379	C₂²	semidirect
185. C₅₃×#379	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₅₃	C₂²	semidirect
783. #36808	C₅₃	direct (N × H)
873. #2852	C₂×C₅₃	semidirect
874. #2850	C₂×C₅₃	semidirect
875. #2797	C₂×C₅₃	semidirect
876. #2761	C₂×C₅₃	semidirect
877. #2756	C₂×C₅₃	semidirect
878. #2753	C₂×C₅₃	semidirect
879. #2752	C₂×C₅₃	semidirect
880. #2751	C₂×C₅₃	semidirect
881. #2749	C₂×C₅₃	semidirect
882. #2730	C₂×C₅₃	semidirect
883. #2714	C₂×C₅₃	semidirect
884. #2714	C₂×C₅₃	semidirect
885. #2703	C₂×C₅₃	semidirect
886. #2685	C₂×C₅₃	semidirect
887. #2685	C₂×C₅₃	semidirect
888. #2678	C₂×C₅₃	semidirect
889. #2676	C₂×C₅₃	semidirect
890. #2670	C₂×C₅₃	semidirect
891. #2622	C₂×C₅₃	semidirect
892. #2617	C₂×C₅₃	semidirect
893. #2481	C₂×C₅₃	semidirect
894. #2472	C₂×C₅₃	semidirect
895. #2443	C₂×C₅₃	semidirect
896. #2437	C₂×C₅₃	semidirect
897. #2424	C₂×C₅₃	semidirect
898. #2410	C₂×C₅₃	semidirect
899. #2410	C₂×C₅₃	semidirect
900. #2403	C₂×C₅₃	semidirect
901. #2321	C₂×C₅₃	semidirect
902. #2308	C₂×C₅₃	semidirect
903. C₂×#390	C₂×C₅₃	semidirect
921. C₂×#126	C₂²×C₅₃	semidirect
922. C₂×#126	C₂²×C₅₃	semidirect
923. C₂×#124	C₂²×C₅₃	semidirect
924. C₂×#124	C₂²×C₅₃	semidirect
925. C₂×#123	C₂²×C₅₃	semidirect
926. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
927. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
930. C₂×#121	C₂²×C₅₃	semidirect
931. C₂×#121	C₂²×C₅₃	semidirect
932. C₂×#121	C₂²×C₅₃	semidirect
938. C₂×#120	C₂²×C₅₃	semidirect
939. C₂×#120	C₂²×C₅₃	semidirect
940. C₂×C₄×D₄	C₂²×C₅₃	semidirect
941. C₂²×C₄⋊C₄	C₂²×C₅₃	semidirect
945. C₂²×C₂²⋊C₄	C₂²×C₅₃	semidirect
946. C₂²×C₂²⋊C₄	C₂²×C₅₃	semidirect
947. C₂²×C₄²	C₂²×C₅₃	semidirect
948. #400	C₂²×C₅₃	semidirect
949. #400	C₂²×C₅₃	semidirect
950. #399	C₂²×C₅₃	semidirect
951. #399	C₂²×C₅₃	semidirect
952. #398	C₂²×C₅₃	semidirect
953. #397	C₂²×C₅₃	semidirect
954. #397	C₂²×C₅₃	semidirect
955. #397	C₂²×C₅₃	semidirect
956. #397	C₂²×C₅₃	semidirect
957. #397	C₂²×C₅₃	semidirect
958. #397	C₂²×C₅₃	semidirect
959. #397	C₂²×C₅₃	semidirect
960. #397	C₂²×C₅₃	semidirect
961. #397	C₂²×C₅₃	semidirect
962. #396	C₂²×C₅₃	semidirect
963. #396	C₂²×C₅₃	semidirect
964. #396	C₂²×C₅₃	semidirect
965. #396	C₂²×C₅₃	semidirect
968. #394	C₂²×C₅₃	semidirect
969. #394	C₂²×C₅₃	semidirect
970. #394	C₂²×C₅₃	semidirect
971. #394	C₂²×C₅₃	semidirect
972. #394	C₂²×C₅₃	semidirect
973. #394	C₂²×C₅₃	semidirect
974. #394	C₂²×C₅₃	semidirect
975. #394	C₂²×C₅₃	semidirect
976. #394	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. #393	C₂²×C₅₃	semidirect
984. #393	C₂²×C₅₃	semidirect
991. #392	C₂²×C₅₃	semidirect
992. #392	C₂²×C₅₃	semidirect
993. #392	C₂²×C₅₃	semidirect
994. #392	C₂²×C₅₃	semidirect
995. #392	C₂²×C₅₃	semidirect
996. #391	C₂²×C₅₃	semidirect
1001. #390	C₂²×C₅₃	semidirect
1002. #390	C₂²×C₅₃	semidirect
1003. #390	C₂²×C₅₃	semidirect
1004. #390	C₂²×C₅₃	semidirect
1005. #390	C₂²×C₅₃	semidirect
1006. #390	C₂²×C₅₃	semidirect
1007. #390	C₂²×C₅₃	semidirect
1008. #390	C₂²×C₅₃	semidirect
1009. #390	C₂²×C₅₃	semidirect
1010. #388	C₂²×C₅₃	semidirect
1011. #388	C₂²×C₅₃	semidirect
1012. #388	C₂²×C₅₃	semidirect
1013. #388	C₂²×C₅₃	semidirect
1014. #388	C₂²×C₅₃	semidirect
1015. #388	C₂²×C₅₃	semidirect
1016. #388	C₂²×C₅₃	semidirect
1017. #388	C₂²×C₅₃	semidirect
1018. #388	C₂²×C₅₃	semidirect
1019. #388	C₂²×C₅₃	semidirect
1020. #388	C₂²×C₅₃	semidirect
1021. #388	C₂²×C₅₃	semidirect
1022. #388	C₂²×C₅₃	semidirect
1023. #388	C₂²×C₅₃	semidirect
1024. #388	C₂²×C₅₃	semidirect
1025. #388	C₂²×C₅₃	semidirect
1026. #387	C₂²×C₅₃	semidirect
1027. #387	C₂²×C₅₃	semidirect
1028. #387	C₂²×C₅₃	semidirect
1029. #387	C₂²×C₅₃	semidirect
1030. #387	C₂²×C₅₃	semidirect
1031. #387	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. #386	C₂²×C₅₃	semidirect
1053. #386	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. #385	C₂²×C₅₃	semidirect
1062. #383	C₂²×C₅₃	semidirect
1063. #382	C₂²×C₅₃	semidirect
1064. #381	C₂²×C₅₃	semidirect
1065. #381	C₂²×C₅₃	semidirect
1066. #380	C₂²×C₅₃	semidirect
1067. #380	C₂²×C₅₃	semidirect
1069. #379	C₂²×C₅₃	semidirect
1070. #379	C₂²×C₅₃	semidirect
1071. #379	C₂²×C₅₃	semidirect
1072. #379	C₂²×C₅₃	semidirect
1073. C₄×C₂²⋊C₄	C₂²×C₅₃	semidirect
1074. C₅₃	#36808	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×#2852	2
C₅₃×#2850	2
C₅₃×#2797	2
C₅₃×#2761	2
C₅₃×#2756	2
C₅₃×#2753	2
C₅₃×#2752	2
C₅₃×#2751	2
C₅₃×#2749	2
C₅₃×#2730	2
C₅₃×#2714	2
C₅₃×#2703	2
C₅₃×#2685	2
C₅₃×#2678	2
C₅₃×#2676	2
C₅₃×#2670	2
C₅₃×#2622	2
C₅₃×#2617	2
C₅₃×#2481	2
C₅₃×#2472	2
C₅₃×#2443	2
C₅₃×#2437	2
C₅₃×#2424	2
C₅₃×#2410	2
C₅₃×#2403	2
C₅₃×#2321	2
C₅₃×#2308	2
C₂×C₅₃×#390	2
#36808	53

Subgroups — C53×#36808 #27244320

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#36808 #27244320