Subgroups — C₅₃×#63064 #27270576

Order 13568.

6286 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3568	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
3	C₅₃×#3565	C₂	1	4	yes	maximal, complemented
4	C₅₃×#3564	C₂	1	4	yes	maximal, complemented
5	C₅₃×#3564	C₂	1	4	yes	maximal, complemented
6	C₅₃×#3564	C₂	1	4	yes	maximal, complemented
7	C₅₃×#3563	C₂	1	2	yes	maximal, complemented
8	C₅₃×#3563	C₂	1	2	yes	maximal, complemented
9	C₅₃×#3557	C₂	1	4	yes	maximal, complemented
10	C₅₃×#3555	C₂	1	4	yes	maximal, complemented
11	C₅₃×#3553	C₂	1	2	yes	maximal, complemented
12	C₅₃×#3545	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3544	C₂	1	2	yes	maximal, complemented
14	C₅₃×#3535	C₂	1	4	yes	maximal, complemented
15	C₅₃×#3533	C₂	1	2	yes	maximal, complemented
16	C₅₃×#3531	C₂	1	2	yes	maximal, complemented
17	C₂×C₅₃×#563	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#3521	C₂	1	4	yes	maximal, complemented
19	C₅₃×#3515	C₂	1	2	yes	maximal, complemented
20	C₅₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3509	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3495	C₂	1	4	yes	maximal, complemented
23	C₅₃×#3491	C₂	1	2	yes	maximal, complemented
24	C₅₃×#564	C₂²	1	2	yes	complemented
25	C₅₃×#564	C₂²	1	2	yes	complemented
26	C₅₃×#563	C₂²	1	2	yes	—
27	C₅₃×#563	C₂²	1	2	yes	—
28	C₅₃×#563	C₂²	1	1	yes	characteristic
29	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
30	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
31	C₅₃×#563	C₂²	1	4	yes	complemented
32	C₅₃×#563	C₂²	1	4	yes	complemented
33	C₅₃×#563	C₂²	1	2	yes	complemented
34	C₅₃×#563	C₂²	1	4	yes	complemented
35	C₅₃×#563	C₂²	1	4	yes	complemented
36	C₅₃×#563	C₂²	1	4	yes	complemented
37	C₅₃×#563	C₂²	1	2	yes	complemented
38	C₅₃×#563	C₂²	1	4	yes	complemented
39	C₅₃×#563	C₂²	1	2	yes	complemented
40	C₅₃×#563	C₂²	1	4	yes	complemented
41	C₅₃×#563	C₂²	1	2	yes	complemented
42	C₅₃×#563	C₂²	1	2	yes	complemented
43	C₅₃×#563	C₂²	1	2	yes	complemented
44	C₅₃×#563	C₂²	1	4	yes	complemented
45	C₅₃×#563	C₂²	1	4	yes	complemented
46	C₅₃×#562	C₂²	1	2	yes	—
47	C₅₃×#562	C₂²	1	4	yes	complemented
48	C₅₃×#562	C₂²	1	4	yes	complemented
49	C₅₃×#562	C₂²	1	4	yes	complemented
50	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic
51	C₅₃×#560	C₂²	1	2	yes	complemented
52	C₅₃×#559	C₂²	1	4	yes	complemented
53	C₅₃×#559	C₂²	1	2	yes	complemented
54	Q₈²×C₅₃	C₂²	1	2	yes	complemented
55	C₅₃×#557	C₂²	1	4	yes	complemented
56	C₅₃×#557	C₂²	1	4	yes	complemented
57	C₅₃×#557	C₂²	1	2	yes	complemented
58	C₅₃×#557	C₂²	1	4	yes	complemented
59	C₅₃×#556	C₂²	1	4	yes	complemented
60	C₅₃×#556	C₂²	1	4	yes	complemented
61	C₅₃×#556	C₂²	1	4	yes	complemented
62	C₅₃×#556	C₂²	1	4	yes	complemented
63	C₅₃×#556	C₂²	1	4	yes	complemented
64	C₅₃×#556	C₂²	1	4	yes	complemented
65	C₅₃×#556	C₂²	1	4	yes	complemented
66	C₅₃×#556	C₂²	1	4	yes	complemented
67	C₅₃×#556	C₂²	1	4	yes	complemented
68	C₅₃×#555	C₂²	1	2	yes	—
69	C₅₃×#555	C₂²	1	2	yes	complemented
70	C₅₃×#554	C₂²	1	4	yes	complemented
71	C₅₃×#554	C₂²	1	4	yes	complemented
72	C₅₃×#554	C₂²	1	2	yes	complemented
73	C₅₃×#554	C₂²	1	2	yes	complemented
74	C₅₃×#554	C₂²	1	4	yes	complemented
75	C₅₃×#554	C₂²	1	4	yes	complemented
76	C₅₃×#554	C₂²	1	4	yes	complemented
77	C₅₃×#554	C₂²	1	4	yes	complemented
78	C₅₃×#553	C₂²	1	2	yes	—
79	C₅₃×#553	C₂²	1	2	yes	complemented
80	C₅₃×#553	C₂²	1	4	yes	complemented
81	C₅₃×#553	C₂²	1	4	yes	complemented
82	C₅₃×#553	C₂²	1	4	yes	complemented
83	C₅₃×#552	C₂²	1	4	yes	—
84	C₅₃×#552	C₂²	1	4	yes	complemented
85	C₅₃×#552	C₂²	1	4	yes	complemented
86	C₅₃×#552	C₂²	1	4	yes	complemented
87	C₅₃×#552	C₂²	1	2	yes	complemented
88	C₅₃×#552	C₂²	1	4	yes	complemented
89	C₅₃×#552	C₂²	1	4	yes	complemented
90	C₅₃×#552	C₂²	1	4	yes	complemented
91	C₅₃×#552	C₂²	1	4	yes	complemented
92	C₅₃×#552	C₂²	1	4	yes	complemented
93	C₅₃×#552	C₂²	1	4	yes	complemented
94	C₅₃×#552	C₂²	1	4	yes	complemented
95	C₅₃×#552	C₂²	1	4	yes	complemented
96	C₅₃×#552	C₂²	1	4	yes	complemented
97	C₅₃×#552	C₂²	1	2	yes	complemented
98	C₅₃×#552	C₂²	1	4	yes	complemented
99	C₅₃×#552	C₂²	1	4	yes	complemented
100	C₅₃×#552	C₂²	1	4	yes	complemented
101	C₅₃×#552	C₂²	1	4	yes	complemented
102	C₅₃×#552	C₂²	1	4	yes	complemented
103	C₅₃×#552	C₂²	1	4	yes	complemented
104	C₅₃×#552	C₂²	1	4	yes	complemented
105	C₅₃×#551	C₂²	1	4	yes	—
106	C₅₃×#551	C₂²	1	4	yes	—
107	C₅₃×#551	C₂²	1	4	yes	—
108	C₅₃×#551	C₂²	1	4	yes	—
109	C₅₃×#551	C₂²	1	2	yes	—
110	C₅₃×#551	C₂²	1	4	yes	complemented
111	C₅₃×#551	C₂²	1	4	yes	complemented
112	C₅₃×#551	C₂²	1	4	yes	complemented
113	C₅₃×#551	C₂²	1	4	yes	complemented
114	C₅₃×#551	C₂²	1	4	yes	complemented
115	C₅₃×#551	C₂²	1	4	yes	complemented
116	C₅₃×#551	C₂²	1	2	yes	complemented
117	C₅₃×#551	C₂²	1	4	yes	complemented
118	C₅₃×#551	C₂²	1	4	yes	complemented
119	C₅₃×#547	C₂²	1	2	yes	—
120	C₅₃×#547	C₂²	1	4	yes	—
121	C₅₃×#547	C₂²	1	4	yes	complemented
122	C₅₃×#546	C₂²	1	4	yes	—
123	C₅₃×#546	C₂²	1	4	yes	complemented
124	C₅₃×#544	C₂²	1	4	yes	complemented
125	C₅₃×#544	C₂²	1	4	yes	complemented
126	C₅₃×#544	C₂²	1	4	yes	complemented
127	C₅₃×#544	C₂²	1	4	yes	complemented
128	C₅₃×#544	C₂²	1	4	yes	complemented
129	C₅₃×#543	C₂²	1	2	yes	complemented
130	C₅₃×#543	C₂²	1	4	yes	complemented
131	C₅₃×#542	C₂²	1	2	yes	—
132	C₅₃×#542	C₂²	1	4	yes	—
133	C₅₃×#542	C₂²	1	4	yes	—
134	C₅₃×#542	C₂²	1	4	yes	complemented
135	C₅₃×#542	C₂²	1	4	yes	complemented
136	C₅₃×#542	C₂²	1	2	yes	complemented
137	C₅₃×#542	C₂²	1	4	yes	complemented
138	C₅₃×#542	C₂²	1	4	yes	complemented
139	C₅₃×#542	C₂²	1	4	yes	complemented
140	C₅₃×#542	C₂²	1	4	yes	complemented
141	C₅₃×#542	C₂²	1	4	yes	complemented
142	C₅₃×#542	C₂²	1	4	yes	complemented
143	C₅₃×#542	C₂²	1	4	yes	complemented
144	C₅₃×#541	C₂²	1	4	yes	complemented
145	C₅₃×#541	C₂²	1	4	yes	complemented
146	C₅₃×#541	C₂²	1	4	yes	complemented
147	C₅₃×#541	C₂²	1	4	yes	complemented
148	C₅₃×#541	C₂²	1	4	yes	complemented
149	C₅₃×#541	C₂²	1	4	yes	complemented
150	C₅₃×#541	C₂²	1	4	yes	complemented
151	C₅₃×#541	C₂²	1	4	yes	complemented
152	C₅₃×#541	C₂²	1	4	yes	complemented
153	C₅₃×#541	C₂²	1	4	yes	complemented
154	C₅₃×#541	C₂²	1	4	yes	complemented
155	C₅₃×#541	C₂²	1	4	yes	complemented
156	C₅₃×#541	C₂²	1	4	yes	complemented
157	C₅₃×#540	C₂²	1	4	yes	—
158	C₅₃×#539	C₂²	1	4	yes	—
159	C₅₃×#539	C₂²	1	4	yes	—
160	C₅₃×#539	C₂²	1	4	yes	—
161	C₅₃×#539	C₂²	1	4	yes	complemented
162	C₅₃×#539	C₂²	1	4	yes	complemented
163	C₅₃×#539	C₂²	1	4	yes	complemented
164	C₅₃×#539	C₂²	1	4	yes	complemented
165	C₅₃×#539	C₂²	1	4	yes	complemented
166	C₅₃×#539	C₂²	1	4	yes	complemented
167	C₅₃×#539	C₂²	1	4	yes	complemented
168	C₅₃×#539	C₂²	1	4	yes	complemented
169	C₅₃×#539	C₂²	1	4	yes	complemented
170	C₅₃×#538	C₂²	1	4	yes	—
171	C₅₃×#538	C₂²	1	4	yes	—
172	C₅₃×#538	C₂²	1	4	yes	—
173	C₅₃×#538	C₂²	1	4	yes	complemented
174	C₅₃×#538	C₂²	1	4	yes	complemented
175	C₅₃×#536	C₂²	1	2	yes	—
176	C₅₃×#536	C₂²	1	2	yes	—
177	C₅₃×#536	C₂²	1	4	yes	complemented
178	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#535	C₂²	1	1	yes	characteristic
180	C₅₃×#534	C₂²	1	2	yes	—
181	C₅₃×#533	C₂²	1	4	yes	complemented
182	C₅₃×#533	C₂²	1	4	yes	complemented
183	C₅₃×#533	C₂²	1	4	yes	complemented
184	C₅₃×#533	C₂²	1	4	yes	complemented
185	C₅₃×#533	C₂²	1	2	yes	complemented
186	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
187	C₅₃×#533	C₂²	1	2	yes	complemented
188	C₂×C₄⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
189	C₅₃×#529	C₂²	1	4	yes	—
190	C₅₃×#529	C₂²	1	2	yes	—
191	C₅₃×#529	C₂²	1	2	yes	—
192	C₅₃×#529	C₂²	1	4	yes	complemented
193	C₅₃×#529	C₂²	1	4	yes	complemented
194	C₅₃×#529	C₂²	1	4	yes	complemented
195	C₅₃×#529	C₂²	1	2	yes	complemented
196	C₅₃×#529	C₂²	1	2	yes	complemented
197	C₅₃×#529	C₂²	1	2	yes	complemented
198	C₅₃×#529	C₂²	1	4	yes	complemented
199	C₅₃×#529	C₂²	1	4	yes	complemented
200	C₅₃×#529	C₂²	1	4	yes	complemented
201	C₅₃×#529	C₂²	1	4	yes	complemented
202	C₂×#126×C₅₃	C₂²	1	4	yes	complemented
203	C₂×#126×C₅₃	C₂²	1	4	yes	complemented
204	C₂×#125×C₅₃	C₂²	1	2	yes	complemented
205	C₂×#125×C₅₃	C₂²	1	2	yes	complemented
206	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
207	C₅₃×#525	C₂²	1	4	yes	—
208	C₂×#123×C₅₃	C₂²	1	2	yes	—
209	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
210	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	4	yes	complemented
211	C₅₃×#520	C₂²	1	4	yes	complemented
212	C₅₃×#519	C₂²	1	2	yes	complemented
213	C₅₃×#519	C₂²	1	1	yes	characteristic, complemented
214	C₅₃×#518	C₂²	1	1	yes	characteristic
215	C₅₃×#518	C₂²	1	2	yes	complemented
216	C₄×#41×C₅₃	C₂²	1	2	yes	—
217	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
218	C₂×#117×C₅₃	C₂²	1	2	yes	complemented
219	C₂×#41×C₅₃	C₂³	1	2	yes	—
220	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
221	C₂×#41×C₅₃	C₂³	1	4	yes	—
222	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
223	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
226	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
227	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
228	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
229	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
230	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
231	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
232	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
233	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
234	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
235	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
236	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
237	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
238	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
239	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
240	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
241	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
242	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
243	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
244	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
245	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
246	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
247	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
248	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
249	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
250	#127×C₅₃	C₂³	1	2	yes	—
251	#126×C₅₃	C₂³	1	4	yes	—
252	#126×C₅₃	C₂³	1	4	yes	—
253	#126×C₅₃	C₂³	1	4	yes	—
254	#126×C₅₃	C₂³	1	4	yes	—
255	#126×C₅₃	C₂³	1	4	yes	—
256	#126×C₅₃	C₂³	1	4	yes	—
257	#126×C₅₃	C₂³	1	4	yes	—
258	#126×C₅₃	C₂³	1	4	yes	—
259	#126×C₅₃	C₂³	1	4	yes	—
260	#126×C₅₃	C₂³	1	4	yes	—
261	#126×C₅₃	C₂³	1	4	yes	—
262	#126×C₅₃	C₂³	1	4	yes	—
263	#126×C₅₃	C₂³	1	4	yes	—
264	#126×C₅₃	C₂³	1	4	yes	—
265	#126×C₅₃	C₂³	1	4	yes	—
266	#126×C₅₃	C₂³	1	4	yes	—
267	#126×C₅₃	C₂³	1	4	yes	—
268	#126×C₅₃	C₂³	1	4	yes	—
269	#126×C₅₃	C₂³	1	4	yes	—
270	#126×C₅₃	C₂³	1	4	yes	—
271	#126×C₅₃	C₂³	1	4	yes	—
272	#126×C₅₃	C₂³	1	4	yes	—
273	#126×C₅₃	C₂³	1	4	yes	—
274	#126×C₅₃	C₂³	1	4	yes	—
275	#126×C₅₃	C₂³	1	4	yes	—
276	#126×C₅₃	C₂³	1	4	yes	—
277	#126×C₅₃	C₂³	1	4	yes	—
278	#126×C₅₃	C₂³	1	4	yes	—
279	#126×C₅₃	C₂³	1	4	yes	—
280	#126×C₅₃	C₂³	1	4	yes	—
281	#126×C₅₃	C₂³	1	4	yes	—
282	#126×C₅₃	C₂³	1	4	yes	—
283	#126×C₅₃	C₂³	1	4	yes	—
284	#126×C₅₃	C₂³	1	4	yes	—
285	#126×C₅₃	C₂³	1	4	yes	—
286	#126×C₅₃	C₂³	1	4	yes	—
287	#126×C₅₃	C₂³	1	4	yes	—
288	#126×C₅₃	C₂³	1	4	yes	—
289	#126×C₅₃	C₂³	1	4	yes	—
290	#126×C₅₃	C₂³	1	4	yes	—
291	#126×C₅₃	C₂³	1	4	yes	—
292	#126×C₅₃	C₂³	1	4	yes	—
293	#126×C₅₃	C₂³	1	4	yes	—
294	#126×C₅₃	C₂³	1	4	yes	—
295	#126×C₅₃	C₂³	1	4	yes	—
296	#125×C₅₃	C₂³	1	2	yes	—
297	#125×C₅₃	C₂³	1	2	yes	—
298	#125×C₅₃	C₂³	1	2	yes	—
299	#125×C₅₃	C₂³	1	4	yes	—
300	#125×C₅₃	C₂³	1	4	yes	—
301	#125×C₅₃	C₂³	1	4	yes	—
302	#125×C₅₃	C₂³	1	2	yes	—
303	#125×C₅₃	C₂³	1	2	yes	—
304	#125×C₅₃	C₂³	1	2	yes	—
305	#125×C₅₃	C₂³	1	2	yes	—
306	#125×C₅₃	C₂³	1	4	yes	—
307	#125×C₅₃	C₂³	1	2	yes	—
308	#125×C₅₃	C₂³	1	4	yes	—
309	#125×C₅₃	C₂³	1	4	yes	—
310	#125×C₅₃	C₂³	1	4	yes	—
311	#125×C₅₃	C₂³	1	4	yes	—
312	#125×C₅₃	C₂³	1	4	yes	—
313	#125×C₅₃	C₂³	1	4	yes	—
314	#125×C₅₃	C₂³	1	4	yes	—
315	#125×C₅₃	C₂³	1	4	yes	—
316	#125×C₅₃	C₂³	1	4	yes	—
317	#125×C₅₃	C₂³	1	4	yes	—
318	#125×C₅₃	C₂³	1	4	yes	—
319	#125×C₅₃	C₂³	1	4	yes	—
320	#125×C₅₃	C₂³	1	4	yes	—
321	#125×C₅₃	C₂³	1	4	yes	—
322	#125×C₅₃	C₂³	1	4	yes	—
323	#125×C₅₃	C₂³	1	4	yes	—
324	#125×C₅₃	C₂³	1	4	yes	—
325	#125×C₅₃	C₂³	1	4	yes	—
326	#125×C₅₃	C₂³	1	4	yes	—
327	#125×C₅₃	C₂³	1	4	yes	—
328	#125×C₅₃	C₂³	1	4	yes	—
329	#125×C₅₃	C₂³	1	4	yes	—
330	#125×C₅₃	C₂³	1	4	yes	—
331	#125×C₅₃	C₂³	1	4	yes	—
332	#125×C₅₃	C₂³	1	4	yes	—
333	#125×C₅₃	C₂³	1	4	yes	—
334	#125×C₅₃	C₂³	1	4	yes	—
335	#125×C₅₃	C₂³	1	4	yes	—
336	#125×C₅₃	C₂³	1	4	yes	—
337	#125×C₅₃	C₂³	1	4	yes	—
338	#125×C₅₃	C₂³	1	4	yes	—
339	#125×C₅₃	C₂³	1	4	yes	—
340	#125×C₅₃	C₂³	1	4	yes	—
341	#124×C₅₃	C₂³	1	1	yes	characteristic
342	#124×C₅₃	C₂³	1	1	yes	characteristic
343	#124×C₅₃	C₂³	1	4	yes	—
344	#124×C₅₃	C₂³	1	1	yes	characteristic
345	#124×C₅₃	C₂³	1	1	yes	characteristic
346	#124×C₅₃	C₂³	1	2	yes	—
347	#124×C₅₃	C₂³	1	4	yes	—
348	#124×C₅₃	C₂³	1	4	yes	—
349	#124×C₅₃	C₂³	1	4	yes	—
350	#124×C₅₃	C₂³	1	4	yes	—
351	#124×C₅₃	C₂³	1	4	yes	—
352	#124×C₅₃	C₂³	1	4	yes	—
353	#124×C₅₃	C₂³	1	4	yes	—
354	#124×C₅₃	C₂³	1	4	yes	—
355	#124×C₅₃	C₂³	1	2	yes	—
356	#124×C₅₃	C₂³	1	2	yes	—
357	#124×C₅₃	C₂³	1	4	yes	—
358	#124×C₅₃	C₂³	1	2	yes	—
359	#124×C₅₃	C₂³	1	2	yes	—
360	#124×C₅₃	C₂³	1	4	yes	—
361	#124×C₅₃	C₂³	1	4	yes	—
362	#124×C₅₃	C₂³	1	4	yes	—
363	#124×C₅₃	C₂³	1	4	yes	—
364	#124×C₅₃	C₂³	1	4	yes	—
365	#123×C₅₃	C₂³	1	2	yes	—
366	#123×C₅₃	C₂³	1	2	yes	—
367	#123×C₅₃	C₂³	1	4	yes	—
368	#123×C₅₃	C₂³	1	2	yes	—
369	#123×C₅₃	C₂³	1	2	yes	—
370	#123×C₅₃	C₂³	1	4	yes	—
371	#123×C₅₃	C₂³	1	4	yes	—
372	#123×C₅₃	C₂³	1	4	yes	—
373	#123×C₅₃	C₂³	1	4	yes	—
374	#123×C₅₃	C₂³	1	4	yes	—
375	#123×C₅₃	C₂³	1	4	yes	—
376	#123×C₅₃	C₂³	1	4	yes	—
377	#123×C₅₃	C₂³	1	4	yes	—
378	#123×C₅₃	C₂³	1	4	yes	—
379	#123×C₅₃	C₂³	1	4	yes	—
380	#123×C₅₃	C₂³	1	4	yes	—
381	#123×C₅₃	C₂³	1	4	yes	—
382	#123×C₅₃	C₂³	1	4	yes	—
383	#123×C₅₃	C₂³	1	4	yes	—
384	#123×C₅₃	C₂³	1	4	yes	—
385	#123×C₅₃	C₂³	1	4	yes	—
386	#123×C₅₃	C₂³	1	4	yes	—
387	#123×C₅₃	C₂³	1	4	yes	—
388	#123×C₅₃	C₂³	1	4	yes	—
389	#123×C₅₃	C₂³	1	4	yes	—
390	#123×C₅₃	C₂³	1	4	yes	—
391	#123×C₅₃	C₂³	1	4	yes	—
392	#123×C₅₃	C₂³	1	4	yes	—
393	#123×C₅₃	C₂³	1	4	yes	—
394	#123×C₅₃	C₂³	1	2	yes	—
395	#123×C₅₃	C₂³	1	2	yes	—
396	#123×C₅₃	C₂³	1	4	yes	—
397	#123×C₅₃	C₂³	1	4	yes	—
398	#123×C₅₃	C₂³	1	4	yes	—
399	#123×C₅₃	C₂³	1	4	yes	—
400	#123×C₅₃	C₂³	1	4	yes	—
401	#123×C₅₃	C₂³	1	4	yes	—
402	#123×C₅₃	C₂³	1	4	yes	—
403	#123×C₅₃	C₂³	1	4	yes	—
404	#123×C₅₃	C₂³	1	4	yes	—
405	#123×C₅₃	C₂³	1	4	yes	—
406	#123×C₅₃	C₂³	1	4	yes	—
407	#123×C₅₃	C₂³	1	4	yes	—
408	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
409	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
410	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
411	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
412	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
413	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
414	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
415	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
416	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
417	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
418	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
419	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
420	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
421	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
422	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
423	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
424	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
425	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
426	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
427	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
428	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
429	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
430	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
431	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
432	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
433	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
434	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
435	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
436	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
437	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
438	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
439	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
440	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
441	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
442	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
443	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
444	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
445	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
446	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
447	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
448	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
449	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
450	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
451	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
452	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
453	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
454	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
455	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
456	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
457	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
458	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
459	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
460	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
461	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
462	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
463	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
464	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
465	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
466	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
467	#121×C₅₃	C₂³	1	4	yes	—
468	#121×C₅₃	C₂³	1	4	yes	—
469	#121×C₅₃	C₂³	1	4	yes	—
470	#121×C₅₃	C₂³	1	2	yes	—
471	#121×C₅₃	C₂³	1	2	yes	—
472	#121×C₅₃	C₂³	1	4	yes	—
473	#121×C₅₃	C₂³	1	2	yes	—
474	#121×C₅₃	C₂³	1	4	yes	—
475	#121×C₅₃	C₂³	1	4	yes	—
476	#121×C₅₃	C₂³	1	4	yes	—
477	#121×C₅₃	C₂³	1	2	yes	—
478	#121×C₅₃	C₂³	1	2	yes	—
479	#121×C₅₃	C₂³	1	4	yes	—
480	#121×C₅₃	C₂³	1	4	yes	—
481	#121×C₅₃	C₂³	1	4	yes	—
482	#121×C₅₃	C₂³	1	4	yes	—
483	#121×C₅₃	C₂³	1	4	yes	—
484	#121×C₅₃	C₂³	1	4	yes	—
485	#120×C₅₃	C₂³	1	4	yes	—
486	#120×C₅₃	C₂³	1	4	yes	—
487	#120×C₅₃	C₂³	1	2	yes	—
488	#120×C₅₃	C₂³	1	2	yes	—
489	#120×C₅₃	C₂³	1	4	yes	—
490	#120×C₅₃	C₂³	1	4	yes	—
491	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
492	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
493	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
494	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
495	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
496	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
497	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
498	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
499	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
500	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
501	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
502	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
503	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
504	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
505	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
506	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
507	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
508	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
509	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
510	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
511	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
512	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
513	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
514	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
515	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
516	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
517	C₄×D₄×C₅₃	C₂³	1	4	yes	—
518	C₄×D₄×C₅₃	C₂³	1	4	yes	—
519	C₄×D₄×C₅₃	C₂³	1	4	yes	—
520	C₄×D₄×C₅₃	C₂³	1	2	yes	—
521	C₄×D₄×C₅₃	C₂³	1	2	yes	—
522	C₄×D₄×C₅₃	C₂³	1	2	yes	—
523	C₄×D₄×C₅₃	C₂³	1	4	yes	—
524	C₄×D₄×C₅₃	C₂³	1	2	yes	—
525	C₄×D₄×C₅₃	C₂³	1	2	yes	—
526	C₄×D₄×C₅₃	C₂³	1	4	yes	—
527	C₄×D₄×C₅₃	C₂³	1	4	yes	—
528	C₄×D₄×C₅₃	C₂³	1	4	yes	—
529	C₄×D₄×C₅₃	C₂³	1	4	yes	—
530	C₄×D₄×C₅₃	C₂³	1	4	yes	—
531	C₄×D₄×C₅₃	C₂³	1	4	yes	—
532	C₄×D₄×C₅₃	C₂³	1	4	yes	—
533	C₄×D₄×C₅₃	C₂³	1	4	yes	—
534	C₄×D₄×C₅₃	C₂³	1	4	yes	—
535	C₄×D₄×C₅₃	C₂³	1	4	yes	—
536	C₄×D₄×C₅₃	C₂³	1	4	yes	—
537	C₄×D₄×C₅₃	C₂³	1	2	yes	—
538	C₄×D₄×C₅₃	C₂³	1	4	yes	—
539	C₄×D₄×C₅₃	C₂³	1	4	yes	—
540	C₄×D₄×C₅₃	C₂³	1	4	yes	—
541	C₄×D₄×C₅₃	C₂³	1	2	yes	—
542	C₄×D₄×C₅₃	C₂³	1	4	yes	—
543	C₄×D₄×C₅₃	C₂³	1	4	yes	—
544	C₄×D₄×C₅₃	C₂³	1	4	yes	—
545	C₄×D₄×C₅₃	C₂³	1	4	yes	—
546	C₄×D₄×C₅₃	C₂³	1	2	yes	—
547	C₄×D₄×C₅₃	C₂³	1	4	yes	—
548	C₄×D₄×C₅₃	C₂³	1	4	yes	—
549	C₄×D₄×C₅₃	C₂³	1	4	yes	—
550	C₄×D₄×C₅₃	C₂³	1	4	yes	—
551	#117×C₅₃	C₂³	1	4	yes	—
552	#117×C₅₃	C₂³	1	4	yes	—
553	#117×C₅₃	C₂³	1	4	yes	—
554	#117×C₅₃	C₂³	1	4	yes	—
555	#117×C₅₃	C₂³	1	2	yes	—
556	#117×C₅₃	C₂³	1	4	yes	—
557	#117×C₅₃	C₂³	1	1	yes	characteristic
558	#117×C₅₃	C₂³	1	2	yes	—
559	#117×C₅₃	C₂³	1	1	yes	characteristic
560	#117×C₅₃	C₂³	1	4	yes	—
561	#117×C₅₃	C₂³	1	4	yes	—
562	#117×C₅₃	C₂³	1	1	yes	characteristic
563	#117×C₅₃	C₂³	1	2	yes	—
564	#117×C₅₃	C₂³	1	2	yes	—
565	#117×C₅₃	C₂³	1	4	yes	—
566	#117×C₅₃	C₂³	1	4	yes	—
567	#117×C₅₃	C₂³	1	4	yes	—
568	#117×C₅₃	C₂³	1	4	yes	—
569	#117×C₅₃	C₂³	1	4	yes	—
570	#117×C₅₃	C₂³	1	4	yes	—
571	#117×C₅₃	C₂³	1	4	yes	—
572	#117×C₅₃	C₂³	1	4	yes	—
573	#117×C₅₃	C₂³	1	4	yes	—
574	#117×C₅₃	C₂³	1	4	yes	—
575	#117×C₅₃	C₂³	1	2	yes	—
576	#117×C₅₃	C₂³	1	2	yes	—
577	#117×C₅₃	C₂³	1	4	yes	—
578	#117×C₅₃	C₂³	1	4	yes	—
579	#117×C₅₃	C₂³	1	4	yes	—
580	#117×C₅₃	C₂³	1	4	yes	—
581	#117×C₅₃	C₂³	1	4	yes	—
582	#117×C₅₃	C₂³	1	4	yes	—
583	#117×C₅₃	C₂³	1	4	yes	—
584	#117×C₅₃	C₂³	1	4	yes	—
585	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
586	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
587	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
588	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
589	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
590	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
591	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
592	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
593	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
594	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
595	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
596	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
597	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
598	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
599	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
600	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
601	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
602	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
603	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
604	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
605	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
606	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
607	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
608	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
609	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
610	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
611	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
612	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
613	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
614	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
615	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
616	#41×C₅₃	—	4	8	no	—
617	#41×C₅₃	—	4	2	no	—
618	#41×C₅₃	—	4	4	no	—
619	C₂×Q₈×C₅₃	—	4	4	no	—
620	C₂×Q₈×C₅₃	—	4	2	no	—
621	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
622	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
623	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
624	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
625	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
626	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
627	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
628	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
629	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
630	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
631	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
632	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
633	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
634	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
635	C₂×D₄×C₅₃	—	4	2	no	—
636	C₂×D₄×C₅₃	—	4	4	no	—
637	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
638	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
639	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
640	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
641	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
642	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
643	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
644	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
645	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
646	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
647	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
648	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
649	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
650	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
651	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
652	C₂²×C₄×C₅₃	—	4	4	no	—
653	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
654	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
655	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
656	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
657	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
659	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
665	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
666	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
667	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
669	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
670	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
671	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
672	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
673	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
674	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
675	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
676	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
677	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
678	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
679	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
680	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
681	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
682	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
683	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
684	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
685	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
686	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
687	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
688	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
689	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
690	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
691	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
692	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
693	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
694	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
695	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
696	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
697	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
698	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
699	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
700	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
701	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
702	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
703	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
704	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
705	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
706	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
707	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
708	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
709	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
710	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
711	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
712	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
713	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
714	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
715	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
716	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
717	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
718	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
719	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
720	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
721	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
722	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
723	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
724	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
725	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
726	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
727	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
728	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
729	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
730	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
731	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
732	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
733	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
734	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
735	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
737	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
738	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
739	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
740	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
741	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
742	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
743	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
744	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
745	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
746	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
747	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
748	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
749	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
750	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
753	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
754	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
755	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
756	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
757	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
758	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
759	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
761	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
764	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
765	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
766	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
767	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
768	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
771	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
773	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
775	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
776	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
777	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
784	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
785	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
789	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
790	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
791	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
792	C₄²×C₅₃	C₂⁴	1	2	yes	—
793	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
794	C₄²×C₅₃	C₂⁴	1	4	yes	—
795	C₄²×C₅₃	C₂⁴	1	4	yes	—
796	C₄²×C₅₃	C₂⁴	1	2	yes	—
797	C₄²×C₅₃	C₂⁴	1	4	yes	—
798	C₄²×C₅₃	C₂⁴	1	2	yes	—
799	C₄²×C₅₃	C₂⁴	1	4	yes	—
800	C₄²×C₅₃	C₂⁴	1	4	yes	—
801	C₄²×C₅₃	C₂⁴	1	2	yes	—
802	C₄²×C₅₃	C₂⁴	1	2	yes	—
803	C₄²×C₅₃	C₂⁴	1	4	yes	—
804	C₄²×C₅₃	C₂⁴	1	4	yes	—
805	C₄²×C₅₃	C₂⁴	1	4	yes	—
806	C₄²×C₅₃	C₂⁴	1	2	yes	—
807	C₄²×C₅₃	C₂⁴	1	4	yes	—
808	C₄²×C₅₃	C₂⁴	1	4	yes	—
809	C₄²×C₅₃	C₂⁴	1	4	yes	—
810	C₄²×C₅₃	C₂⁴	1	4	yes	—
811	C₄²×C₅₃	C₂⁴	1	4	yes	—
812	C₄²×C₅₃	C₂⁴	1	2	yes	—
813	C₄²×C₅₃	C₂⁴	1	2	yes	—
814	C₄²×C₅₃	C₂⁴	1	4	yes	—
815	C₄²×C₅₃	C₂⁴	1	2	yes	—
816	C₄²×C₅₃	C₂⁴	1	2	yes	—
817	C₂³×C₅₃	—	2	4	no	—
818	C₂³×C₅₃	—	4	4	no	—
819	C₂³×C₅₃	—	4	2	no	—
820	C₂³×C₅₃	—	4	4	no	—
821	C₂³×C₅₃	C₂⁵	1	2	yes	—
822	C₂³×C₅₃	C₂⁵	1	4	yes	—
823	C₂³×C₅₃	C₂⁵	1	2	yes	—
824	C₂³×C₅₃	C₂⁵	1	2	yes	—
825	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
826	Q₈×C₅₃	—	4	2	no	—
827	Q₈×C₅₃	—	4	4	no	—
828	Q₈×C₅₃	—	4	1	no	—
829	Q₈×C₅₃	—	4	1	no	—
830	Q₈×C₅₃	—	4	2	no	—
831	Q₈×C₅₃	—	4	2	no	—
832	Q₈×C₅₃	—	4	4	no	—
833	Q₈×C₅₃	—	4	4	no	—
834	Q₈×C₅₃	—	4	2	no	—
835	Q₈×C₅₃	—	4	4	no	—
836	Q₈×C₅₃	—	4	4	no	—
837	Q₈×C₅₃	—	4	4	no	—
838	Q₈×C₅₃	—	4	1	no	—
839	Q₈×C₅₃	—	4	2	no	—
840	D₄×C₅₃	—	2	8	no	—
841	D₄×C₅₃	—	2	4	no	—
842	D₄×C₅₃	—	4	1	no	—
843	D₄×C₅₃	—	4	1	no	—
844	D₄×C₅₃	—	4	2	no	—
845	D₄×C₅₃	—	4	4	no	—
846	D₄×C₅₃	—	4	4	no	—
847	D₄×C₅₃	—	4	2	no	—
848	D₄×C₅₃	—	4	4	no	—
849	D₄×C₅₃	—	4	4	no	—
850	D₄×C₅₃	—	4	4	no	—
851	D₄×C₅₃	—	4	4	no	—
852	D₄×C₅₃	—	4	4	no	—
853	D₄×C₅₃	—	4	1	no	—
854	D₄×C₅₃	—	4	2	no	—
855	C₂×C₄×C₅₃	—	2	8	no	—
856	C₂×C₄×C₅₃	—	2	2	no	—
857	C₂×C₄×C₅₃	—	2	4	no	—
858	C₂×C₄×C₅₃	—	4	2	no	—
859	C₂×C₄×C₅₃	—	4	4	no	—
860	C₂×C₄×C₅₃	—	4	2	no	—
861	C₂×C₄×C₅₃	—	4	2	no	—
862	C₂×C₄×C₅₃	—	4	4	no	—
863	C₂×C₄×C₅₃	—	4	4	no	—
864	C₂×C₄×C₅₃	—	4	4	no	—
865	C₂×C₄×C₅₃	—	4	4	no	—
866	C₂×C₄×C₅₃	—	4	2	no	—
867	C₂×C₄×C₅₃	—	4	4	no	—
868	C₂×C₄×C₅₃	—	4	4	no	—
869	C₂×C₄×C₅₃	—	4	2	no	—
870	C₂×C₄×C₅₃	—	4	4	no	—
871	C₂×C₄×C₅₃	—	4	4	no	—
872	C₂×C₄×C₅₃	—	4	4	no	—
873	C₂×C₄×C₅₃	—	4	2	no	—
874	C₂×C₄×C₅₃	—	4	4	no	—
875	C₂×C₄×C₅₃	—	4	4	no	—
876	C₂×C₄×C₅₃	—	4	2	no	—
877	C₂×C₄×C₅₃	—	4	4	no	—
878	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
879	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
880	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
881	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
882	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
883	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
884	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
885	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
886	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
887	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
888	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
889	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
890	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
891	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
892	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
893	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
894	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
895	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
896	#63064	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
897	C₂²×C₅₃	—	2	2	no	—
898	C₂²×C₅₃	—	2	2	no	—
899	C₂²×C₅₃	—	2	2	no	—
900	C₂²×C₅₃	—	2	4	no	—
901	C₂²×C₅₃	—	2	2	no	—
902	C₂²×C₅₃	—	2	2	no	—
903	C₂²×C₅₃	—	2	4	no	—
904	C₂²×C₅₃	—	2	4	no	—
905	C₂²×C₅₃	—	2	4	no	—
906	C₂²×C₅₃	—	2	2	no	—
907	C₂²×C₅₃	—	2	4	no	—
908	C₂²×C₅₃	—	8	4	no	—
909	C₂²×C₅₃	—	16	2	no	—
910	C₂²×C₅₃	#585	1	2	yes	—
911	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
912	C₄×C₅₃	—	2	4	no	—
913	C₄×C₅₃	—	2	1	no	—
914	C₄×C₅₃	—	2	4	no	—
915	C₄×C₅₃	—	2	2	no	—
916	C₄×C₅₃	—	2	1	no	—
917	C₄×C₅₃	—	2	2	no	—
918	C₄×C₅₃	—	2	4	no	—
919	C₄×C₅₃	—	2	2	no	—
920	C₄×C₅₃	—	2	2	no	—
921	C₄×C₅₃	—	2	2	no	—
922	C₄×C₅₃	—	2	4	no	—
923	C₄×C₅₃	—	2	4	no	—
924	C₄×C₅₃	—	2	4	no	—
925	C₄×C₅₃	—	2	4	no	—
926	C₄×C₅₃	—	2	2	no	—
927	C₄×C₅₃	—	2	2	no	—
928	C₄×C₅₃	—	2	4	no	—
929	C₄×C₅₃	—	2	4	no	—
930	#3568	C₂×C₅₃	1	2	yes	complemented
931	#3566	C₂×C₅₃	1	4	yes	complemented
932	#3565	C₂×C₅₃	1	4	yes	complemented
933	#3564	C₂×C₅₃	1	4	yes	complemented
934	#3564	C₂×C₅₃	1	4	yes	complemented
935	#3564	C₂×C₅₃	1	4	yes	complemented
936	#3563	C₂×C₅₃	1	2	yes	complemented
937	#3563	C₂×C₅₃	1	2	yes	complemented
938	#3557	C₂×C₅₃	1	4	yes	complemented
939	#3555	C₂×C₅₃	1	4	yes	complemented
940	#3553	C₂×C₅₃	1	2	yes	complemented
941	#3545	C₂×C₅₃	1	1	yes	characteristic, complemented
942	#3544	C₂×C₅₃	1	2	yes	complemented
943	#3535	C₂×C₅₃	1	4	yes	complemented
944	#3533	C₂×C₅₃	1	2	yes	complemented
945	#3531	C₂×C₅₃	1	2	yes	complemented
946	C₂×#563	C₂×C₅₃	1	1	yes	characteristic, complemented
947	#3521	C₂×C₅₃	1	4	yes	complemented
948	#3515	C₂×C₅₃	1	2	yes	complemented
949	#3510	C₂×C₅₃	1	1	yes	characteristic, complemented
950	#3509	C₂×C₅₃	1	2	yes	complemented
951	#3495	C₂×C₅₃	1	4	yes	complemented
952	#3491	C₂×C₅₃	1	2	yes	complemented
953	C₂×C₅₃	—	2	2	no	—
954	C₂×C₅₃	—	4	2	no	—
955	C₂×C₅₃	—	4	2	no	—
956	C₂×C₅₃	—	4	2	no	—
957	C₂×C₅₃	—	4	4	no	—
958	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
959	C₂×C₅₃	2₋¹⁺⁶	1	2	yes	—
960	#564	C₂²×C₅₃	1	2	yes	complemented
961	#564	C₂²×C₅₃	1	2	yes	complemented
962	#563	C₂²×C₅₃	1	2	yes	—
963	#563	C₂²×C₅₃	1	2	yes	—
964	#563	C₂²×C₅₃	1	1	yes	characteristic
965	#563	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#563	C₂²×C₅₃	1	1	yes	characteristic, complemented
967	#563	C₂²×C₅₃	1	4	yes	complemented
968	#563	C₂²×C₅₃	1	4	yes	complemented
969	#563	C₂²×C₅₃	1	2	yes	complemented
970	#563	C₂²×C₅₃	1	4	yes	complemented
971	#563	C₂²×C₅₃	1	4	yes	complemented
972	#563	C₂²×C₅₃	1	4	yes	complemented
973	#563	C₂²×C₅₃	1	2	yes	complemented
974	#563	C₂²×C₅₃	1	4	yes	complemented
975	#563	C₂²×C₅₃	1	2	yes	complemented
976	#563	C₂²×C₅₃	1	4	yes	complemented
977	#563	C₂²×C₅₃	1	2	yes	complemented
978	#563	C₂²×C₅₃	1	2	yes	complemented
979	#563	C₂²×C₅₃	1	2	yes	complemented
980	#563	C₂²×C₅₃	1	4	yes	complemented
981	#563	C₂²×C₅₃	1	4	yes	complemented
982	#562	C₂²×C₅₃	1	2	yes	—
983	#562	C₂²×C₅₃	1	4	yes	complemented
984	#562	C₂²×C₅₃	1	4	yes	complemented
985	#562	C₂²×C₅₃	1	4	yes	complemented
986	H(3,𝔽₄)	C₂²×C₅₃	1	1	yes	characteristic
987	#560	C₂²×C₅₃	1	2	yes	complemented
988	#559	C₂²×C₅₃	1	4	yes	complemented
989	#559	C₂²×C₅₃	1	2	yes	complemented
990	Q₈²	C₂²×C₅₃	1	2	yes	complemented
991	#557	C₂²×C₅₃	1	4	yes	complemented
992	#557	C₂²×C₅₃	1	4	yes	complemented
993	#557	C₂²×C₅₃	1	2	yes	complemented
994	#557	C₂²×C₅₃	1	4	yes	complemented
995	#556	C₂²×C₅₃	1	4	yes	complemented
996	#556	C₂²×C₅₃	1	4	yes	complemented
997	#556	C₂²×C₅₃	1	4	yes	complemented
998	#556	C₂²×C₅₃	1	4	yes	complemented
999	#556	C₂²×C₅₃	1	4	yes	complemented
1000	#556	C₂²×C₅₃	1	4	yes	complemented
1001	#556	C₂²×C₅₃	1	4	yes	complemented
1002	#556	C₂²×C₅₃	1	4	yes	complemented
1003	#556	C₂²×C₅₃	1	4	yes	complemented
1004	#555	C₂²×C₅₃	1	2	yes	—
1005	#555	C₂²×C₅₃	1	2	yes	complemented
1006	#554	C₂²×C₅₃	1	4	yes	complemented
1007	#554	C₂²×C₅₃	1	4	yes	complemented
1008	#554	C₂²×C₅₃	1	2	yes	complemented
1009	#554	C₂²×C₅₃	1	2	yes	complemented
1010	#554	C₂²×C₅₃	1	4	yes	complemented
1011	#554	C₂²×C₅₃	1	4	yes	complemented
1012	#554	C₂²×C₅₃	1	4	yes	complemented
1013	#554	C₂²×C₅₃	1	4	yes	complemented
1014	#553	C₂²×C₅₃	1	2	yes	—
1015	#553	C₂²×C₅₃	1	2	yes	complemented
1016	#553	C₂²×C₅₃	1	4	yes	complemented
1017	#553	C₂²×C₅₃	1	4	yes	complemented
1018	#553	C₂²×C₅₃	1	4	yes	complemented
1019	#552	C₂²×C₅₃	1	4	yes	—
1020	#552	C₂²×C₅₃	1	4	yes	complemented
1021	#552	C₂²×C₅₃	1	4	yes	complemented
1022	#552	C₂²×C₅₃	1	4	yes	complemented
1023	#552	C₂²×C₅₃	1	2	yes	complemented
1024	#552	C₂²×C₅₃	1	4	yes	complemented
1025	#552	C₂²×C₅₃	1	4	yes	complemented
1026	#552	C₂²×C₅₃	1	4	yes	complemented
1027	#552	C₂²×C₅₃	1	4	yes	complemented
1028	#552	C₂²×C₅₃	1	4	yes	complemented
1029	#552	C₂²×C₅₃	1	4	yes	complemented
1030	#552	C₂²×C₅₃	1	4	yes	complemented
1031	#552	C₂²×C₅₃	1	4	yes	complemented
1032	#552	C₂²×C₅₃	1	4	yes	complemented
1033	#552	C₂²×C₅₃	1	2	yes	complemented
1034	#552	C₂²×C₅₃	1	4	yes	complemented
1035	#552	C₂²×C₅₃	1	4	yes	complemented
1036	#552	C₂²×C₅₃	1	4	yes	complemented
1037	#552	C₂²×C₅₃	1	4	yes	complemented
1038	#552	C₂²×C₅₃	1	4	yes	complemented
1039	#552	C₂²×C₅₃	1	4	yes	complemented
1040	#552	C₂²×C₅₃	1	4	yes	complemented
1041	#551	C₂²×C₅₃	1	4	yes	—
1042	#551	C₂²×C₅₃	1	4	yes	—
1043	#551	C₂²×C₅₃	1	4	yes	—
1044	#551	C₂²×C₅₃	1	4	yes	—
1045	#551	C₂²×C₅₃	1	2	yes	—
1046	#551	C₂²×C₅₃	1	4	yes	complemented
1047	#551	C₂²×C₅₃	1	4	yes	complemented
1048	#551	C₂²×C₅₃	1	4	yes	complemented
1049	#551	C₂²×C₅₃	1	4	yes	complemented
1050	#551	C₂²×C₅₃	1	4	yes	complemented
1051	#551	C₂²×C₅₃	1	4	yes	complemented
1052	#551	C₂²×C₅₃	1	2	yes	complemented
1053	#551	C₂²×C₅₃	1	4	yes	complemented
1054	#551	C₂²×C₅₃	1	4	yes	complemented
1055	#547	C₂²×C₅₃	1	2	yes	—
1056	#547	C₂²×C₅₃	1	4	yes	—
1057	#547	C₂²×C₅₃	1	4	yes	complemented
1058	#546	C₂²×C₅₃	1	4	yes	—
1059	#546	C₂²×C₅₃	1	4	yes	complemented
1060	#544	C₂²×C₅₃	1	4	yes	complemented
1061	#544	C₂²×C₅₃	1	4	yes	complemented
1062	#544	C₂²×C₅₃	1	4	yes	complemented
1063	#544	C₂²×C₅₃	1	4	yes	complemented
1064	#544	C₂²×C₅₃	1	4	yes	complemented
1065	#543	C₂²×C₅₃	1	2	yes	complemented
1066	#543	C₂²×C₅₃	1	4	yes	complemented
1067	#542	C₂²×C₅₃	1	2	yes	—
1068	#542	C₂²×C₅₃	1	4	yes	—
1069	#542	C₂²×C₅₃	1	4	yes	—
1070	#542	C₂²×C₅₃	1	4	yes	complemented
1071	#542	C₂²×C₅₃	1	4	yes	complemented
1072	#542	C₂²×C₅₃	1	2	yes	complemented
1073	#542	C₂²×C₅₃	1	4	yes	complemented
1074	#542	C₂²×C₅₃	1	4	yes	complemented
1075	#542	C₂²×C₅₃	1	4	yes	complemented
1076	#542	C₂²×C₅₃	1	4	yes	complemented
1077	#542	C₂²×C₅₃	1	4	yes	complemented
1078	#542	C₂²×C₅₃	1	4	yes	complemented
1079	#542	C₂²×C₅₃	1	4	yes	complemented
1080	#541	C₂²×C₅₃	1	4	yes	complemented
1081	#541	C₂²×C₅₃	1	4	yes	complemented
1082	#541	C₂²×C₅₃	1	4	yes	complemented
1083	#541	C₂²×C₅₃	1	4	yes	complemented
1084	#541	C₂²×C₅₃	1	4	yes	complemented
1085	#541	C₂²×C₅₃	1	4	yes	complemented
1086	#541	C₂²×C₅₃	1	4	yes	complemented
1087	#541	C₂²×C₅₃	1	4	yes	complemented
1088	#541	C₂²×C₅₃	1	4	yes	complemented
1089	#541	C₂²×C₅₃	1	4	yes	complemented
1090	#541	C₂²×C₅₃	1	4	yes	complemented
1091	#541	C₂²×C₅₃	1	4	yes	complemented
1092	#541	C₂²×C₅₃	1	4	yes	complemented
1093	#540	C₂²×C₅₃	1	4	yes	—
1094	#539	C₂²×C₅₃	1	4	yes	—
1095	#539	C₂²×C₅₃	1	4	yes	—
1096	#539	C₂²×C₅₃	1	4	yes	—
1097	#539	C₂²×C₅₃	1	4	yes	complemented
1098	#539	C₂²×C₅₃	1	4	yes	complemented
1099	#539	C₂²×C₅₃	1	4	yes	complemented
1100	#539	C₂²×C₅₃	1	4	yes	complemented
1101	#539	C₂²×C₅₃	1	4	yes	complemented
1102	#539	C₂²×C₅₃	1	4	yes	complemented
1103	#539	C₂²×C₅₃	1	4	yes	complemented
1104	#539	C₂²×C₅₃	1	4	yes	complemented
1105	#539	C₂²×C₅₃	1	4	yes	complemented
1106	#538	C₂²×C₅₃	1	4	yes	—
1107	#538	C₂²×C₅₃	1	4	yes	—
1108	#538	C₂²×C₅₃	1	4	yes	—
1109	#538	C₂²×C₅₃	1	4	yes	complemented
1110	#538	C₂²×C₅₃	1	4	yes	complemented
1111	#536	C₂²×C₅₃	1	2	yes	—
1112	#536	C₂²×C₅₃	1	2	yes	—
1113	#536	C₂²×C₅₃	1	4	yes	complemented
1114	#536	C₂²×C₅₃	1	1	yes	characteristic, complemented
1115	#535	C₂²×C₅₃	1	1	yes	characteristic
1116	#534	C₂²×C₅₃	1	2	yes	—
1117	#533	C₂²×C₅₃	1	4	yes	complemented
1118	#533	C₂²×C₅₃	1	4	yes	complemented
1119	#533	C₂²×C₅₃	1	4	yes	complemented
1120	#533	C₂²×C₅₃	1	4	yes	complemented
1121	#533	C₂²×C₅₃	1	2	yes	complemented
1122	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1123	#533	C₂²×C₅₃	1	2	yes	complemented
1124	C₂×C₄⋊Q₈	C₂²×C₅₃	1	2	yes	complemented
1125	#529	C₂²×C₅₃	1	4	yes	—
1126	#529	C₂²×C₅₃	1	2	yes	—
1127	#529	C₂²×C₅₃	1	2	yes	—
1128	#529	C₂²×C₅₃	1	4	yes	complemented
1129	#529	C₂²×C₅₃	1	4	yes	complemented
1130	#529	C₂²×C₅₃	1	4	yes	complemented
1131	#529	C₂²×C₅₃	1	2	yes	complemented
1132	#529	C₂²×C₅₃	1	2	yes	complemented
1133	#529	C₂²×C₅₃	1	2	yes	complemented
1134	#529	C₂²×C₅₃	1	4	yes	complemented
1135	#529	C₂²×C₅₃	1	4	yes	complemented
1136	#529	C₂²×C₅₃	1	4	yes	complemented
1137	#529	C₂²×C₅₃	1	4	yes	complemented
1138	C₂×#126	C₂²×C₅₃	1	4	yes	complemented
1139	C₂×#126	C₂²×C₅₃	1	4	yes	complemented
1140	C₂×#125	C₂²×C₅₃	1	2	yes	complemented
1141	C₂×#125	C₂²×C₅₃	1	2	yes	complemented
1142	C₂×#124	C₂²×C₅₃	1	1	yes	characteristic
1143	#525	C₂²×C₅₃	1	4	yes	—
1144	C₂×#123	C₂²×C₅₃	1	2	yes	—
1145	C₂×#123	C₂²×C₅₃	1	2	yes	complemented
1146	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	4	yes	complemented
1147	#520	C₂²×C₅₃	1	4	yes	complemented
1148	#519	C₂²×C₅₃	1	2	yes	complemented
1149	#519	C₂²×C₅₃	1	1	yes	characteristic, complemented
1150	#518	C₂²×C₅₃	1	1	yes	characteristic
1151	#518	C₂²×C₅₃	1	2	yes	complemented
1152	C₄×#41	C₂²×C₅₃	1	2	yes	—
1153	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1154	C₂×#117	C₂²×C₅₃	1	2	yes	complemented
1155	C₅₃	#63064	1	1	yes	characteristic, direct product factor, Sylow
1156	C₂×#41	C₂³×C₅₃	1	2	yes	—
1157	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1158	C₂×#41	C₂³×C₅₃	1	4	yes	—
1159	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1160	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1162	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1163	C₂³×C₄	C₂³×C₅₃	1	2	yes	—
1164	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1165	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1166	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1167	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1168	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1169	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1170	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1171	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1172	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1173	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1174	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1175	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1176	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1177	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1178	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1179	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1180	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1181	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1182	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1183	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1184	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1185	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1186	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1187	#127	C₂³×C₅₃	1	2	yes	—
1188	#126	C₂³×C₅₃	1	4	yes	—
1189	#126	C₂³×C₅₃	1	4	yes	—
1190	#126	C₂³×C₅₃	1	4	yes	—
1191	#126	C₂³×C₅₃	1	4	yes	—
1192	#126	C₂³×C₅₃	1	4	yes	—
1193	#126	C₂³×C₅₃	1	4	yes	—
1194	#126	C₂³×C₅₃	1	4	yes	—
1195	#126	C₂³×C₅₃	1	4	yes	—
1196	#126	C₂³×C₅₃	1	4	yes	—
1197	#126	C₂³×C₅₃	1	4	yes	—
1198	#126	C₂³×C₅₃	1	4	yes	—
1199	#126	C₂³×C₅₃	1	4	yes	—
1200	#126	C₂³×C₅₃	1	4	yes	—
1201	#126	C₂³×C₅₃	1	4	yes	—
1202	#126	C₂³×C₅₃	1	4	yes	—
1203	#126	C₂³×C₅₃	1	4	yes	—
1204	#126	C₂³×C₅₃	1	4	yes	—
1205	#126	C₂³×C₅₃	1	4	yes	—
1206	#126	C₂³×C₅₃	1	4	yes	—
1207	#126	C₂³×C₅₃	1	4	yes	—
1208	#126	C₂³×C₅₃	1	4	yes	—
1209	#126	C₂³×C₅₃	1	4	yes	—
1210	#126	C₂³×C₅₃	1	4	yes	—
1211	#126	C₂³×C₅₃	1	4	yes	—
1212	#126	C₂³×C₅₃	1	4	yes	—
1213	#126	C₂³×C₅₃	1	4	yes	—
1214	#126	C₂³×C₅₃	1	4	yes	—
1215	#126	C₂³×C₅₃	1	4	yes	—
1216	#126	C₂³×C₅₃	1	4	yes	—
1217	#126	C₂³×C₅₃	1	4	yes	—
1218	#126	C₂³×C₅₃	1	4	yes	—
1219	#126	C₂³×C₅₃	1	4	yes	—
1220	#126	C₂³×C₅₃	1	4	yes	—
1221	#126	C₂³×C₅₃	1	4	yes	—
1222	#126	C₂³×C₅₃	1	4	yes	—
1223	#126	C₂³×C₅₃	1	4	yes	—
1224	#126	C₂³×C₅₃	1	4	yes	—
1225	#126	C₂³×C₅₃	1	4	yes	—
1226	#126	C₂³×C₅₃	1	4	yes	—
1227	#126	C₂³×C₅₃	1	4	yes	—
1228	#126	C₂³×C₅₃	1	4	yes	—
1229	#126	C₂³×C₅₃	1	4	yes	—
1230	#126	C₂³×C₅₃	1	4	yes	—
1231	#126	C₂³×C₅₃	1	4	yes	—
1232	#126	C₂³×C₅₃	1	4	yes	—
1233	#125	C₂³×C₅₃	1	2	yes	—
1234	#125	C₂³×C₅₃	1	2	yes	—
1235	#125	C₂³×C₅₃	1	2	yes	—
1236	#125	C₂³×C₅₃	1	4	yes	—
1237	#125	C₂³×C₅₃	1	4	yes	—
1238	#125	C₂³×C₅₃	1	4	yes	—
1239	#125	C₂³×C₅₃	1	2	yes	—
1240	#125	C₂³×C₅₃	1	2	yes	—
1241	#125	C₂³×C₅₃	1	2	yes	—
1242	#125	C₂³×C₅₃	1	2	yes	—
1243	#125	C₂³×C₅₃	1	4	yes	—
1244	#125	C₂³×C₅₃	1	2	yes	—
1245	#125	C₂³×C₅₃	1	4	yes	—
1246	#125	C₂³×C₅₃	1	4	yes	—
1247	#125	C₂³×C₅₃	1	4	yes	—
1248	#125	C₂³×C₅₃	1	4	yes	—
1249	#125	C₂³×C₅₃	1	4	yes	—
1250	#125	C₂³×C₅₃	1	4	yes	—
1251	#125	C₂³×C₅₃	1	4	yes	—
1252	#125	C₂³×C₅₃	1	4	yes	—
1253	#125	C₂³×C₅₃	1	4	yes	—
1254	#125	C₂³×C₅₃	1	4	yes	—
1255	#125	C₂³×C₅₃	1	4	yes	—
1256	#125	C₂³×C₅₃	1	4	yes	—
1257	#125	C₂³×C₅₃	1	4	yes	—
1258	#125	C₂³×C₅₃	1	4	yes	—
1259	#125	C₂³×C₅₃	1	4	yes	—
1260	#125	C₂³×C₅₃	1	4	yes	—
1261	#125	C₂³×C₅₃	1	4	yes	—
1262	#125	C₂³×C₅₃	1	4	yes	—
1263	#125	C₂³×C₅₃	1	4	yes	—
1264	#125	C₂³×C₅₃	1	4	yes	—
1265	#125	C₂³×C₅₃	1	4	yes	—
1266	#125	C₂³×C₅₃	1	4	yes	—
1267	#125	C₂³×C₅₃	1	4	yes	—
1268	#125	C₂³×C₅₃	1	4	yes	—
1269	#125	C₂³×C₅₃	1	4	yes	—
1270	#125	C₂³×C₅₃	1	4	yes	—
1271	#125	C₂³×C₅₃	1	4	yes	—
1272	#125	C₂³×C₅₃	1	4	yes	—
1273	#125	C₂³×C₅₃	1	4	yes	—
1274	#125	C₂³×C₅₃	1	4	yes	—
1275	#125	C₂³×C₅₃	1	4	yes	—
1276	#125	C₂³×C₅₃	1	4	yes	—
1277	#125	C₂³×C₅₃	1	4	yes	—
1278	#124	C₂³×C₅₃	1	1	yes	characteristic
1279	#124	C₂³×C₅₃	1	1	yes	characteristic
1280	#124	C₂³×C₅₃	1	4	yes	—
1281	#124	C₂³×C₅₃	1	1	yes	characteristic
1282	#124	C₂³×C₅₃	1	1	yes	characteristic
1283	#124	C₂³×C₅₃	1	2	yes	—
1284	#124	C₂³×C₅₃	1	4	yes	—
1285	#124	C₂³×C₅₃	1	4	yes	—
1286	#124	C₂³×C₅₃	1	4	yes	—
1287	#124	C₂³×C₅₃	1	4	yes	—
1288	#124	C₂³×C₅₃	1	4	yes	—
1289	#124	C₂³×C₅₃	1	4	yes	—
1290	#124	C₂³×C₅₃	1	4	yes	—
1291	#124	C₂³×C₅₃	1	4	yes	—
1292	#124	C₂³×C₅₃	1	2	yes	—
1293	#124	C₂³×C₅₃	1	2	yes	—
1294	#124	C₂³×C₅₃	1	4	yes	—
1295	#124	C₂³×C₅₃	1	2	yes	—
1296	#124	C₂³×C₅₃	1	2	yes	—
1297	#124	C₂³×C₅₃	1	4	yes	—
1298	#124	C₂³×C₅₃	1	4	yes	—
1299	#124	C₂³×C₅₃	1	4	yes	—
1300	#124	C₂³×C₅₃	1	4	yes	—
1301	#124	C₂³×C₅₃	1	4	yes	—
1302	#123	C₂³×C₅₃	1	2	yes	—
1303	#123	C₂³×C₅₃	1	2	yes	—
1304	#123	C₂³×C₅₃	1	4	yes	—
1305	#123	C₂³×C₅₃	1	2	yes	—
1306	#123	C₂³×C₅₃	1	2	yes	—
1307	#123	C₂³×C₅₃	1	4	yes	—
1308	#123	C₂³×C₅₃	1	4	yes	—
1309	#123	C₂³×C₅₃	1	4	yes	—
1310	#123	C₂³×C₅₃	1	4	yes	—
1311	#123	C₂³×C₅₃	1	4	yes	—
1312	#123	C₂³×C₅₃	1	4	yes	—
1313	#123	C₂³×C₅₃	1	4	yes	—
1314	#123	C₂³×C₅₃	1	4	yes	—
1315	#123	C₂³×C₅₃	1	4	yes	—
1316	#123	C₂³×C₅₃	1	4	yes	—
1317	#123	C₂³×C₅₃	1	4	yes	—
1318	#123	C₂³×C₅₃	1	4	yes	—
1319	#123	C₂³×C₅₃	1	4	yes	—
1320	#123	C₂³×C₅₃	1	4	yes	—
1321	#123	C₂³×C₅₃	1	4	yes	—
1322	#123	C₂³×C₅₃	1	4	yes	—
1323	#123	C₂³×C₅₃	1	4	yes	—
1324	#123	C₂³×C₅₃	1	4	yes	—
1325	#123	C₂³×C₅₃	1	4	yes	—
1326	#123	C₂³×C₅₃	1	4	yes	—
1327	#123	C₂³×C₅₃	1	4	yes	—
1328	#123	C₂³×C₅₃	1	4	yes	—
1329	#123	C₂³×C₅₃	1	4	yes	—
1330	#123	C₂³×C₅₃	1	4	yes	—
1331	#123	C₂³×C₅₃	1	2	yes	—
1332	#123	C₂³×C₅₃	1	2	yes	—
1333	#123	C₂³×C₅₃	1	4	yes	—
1334	#123	C₂³×C₅₃	1	4	yes	—
1335	#123	C₂³×C₅₃	1	4	yes	—
1336	#123	C₂³×C₅₃	1	4	yes	—
1337	#123	C₂³×C₅₃	1	4	yes	—
1338	#123	C₂³×C₅₃	1	4	yes	—
1339	#123	C₂³×C₅₃	1	4	yes	—
1340	#123	C₂³×C₅₃	1	4	yes	—
1341	#123	C₂³×C₅₃	1	4	yes	—
1342	#123	C₂³×C₅₃	1	4	yes	—
1343	#123	C₂³×C₅₃	1	4	yes	—
1344	#123	C₂³×C₅₃	1	4	yes	—
1345	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1346	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1347	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1348	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1349	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1350	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1351	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1352	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1353	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1354	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1355	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1356	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1357	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1358	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1359	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1360	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1361	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1362	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1363	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1364	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1365	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1366	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1367	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1368	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1369	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1370	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1371	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1372	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1373	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1374	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1375	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1376	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1377	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1378	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1379	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1380	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1381	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1382	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1383	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1384	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1385	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1386	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1387	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1388	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1389	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1390	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1391	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1392	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1393	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1394	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1395	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1396	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1397	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1398	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1399	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1400	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1401	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1402	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1403	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1404	#121	C₂³×C₅₃	1	4	yes	—
1405	#121	C₂³×C₅₃	1	4	yes	—
1406	#121	C₂³×C₅₃	1	4	yes	—
1407	#121	C₂³×C₅₃	1	2	yes	—
1408	#121	C₂³×C₅₃	1	2	yes	—
1409	#121	C₂³×C₅₃	1	4	yes	—
1410	#121	C₂³×C₅₃	1	2	yes	—
1411	#121	C₂³×C₅₃	1	4	yes	—
1412	#121	C₂³×C₅₃	1	4	yes	—
1413	#121	C₂³×C₅₃	1	4	yes	—
1414	#121	C₂³×C₅₃	1	2	yes	—
1415	#121	C₂³×C₅₃	1	2	yes	—
1416	#121	C₂³×C₅₃	1	4	yes	—
1417	#121	C₂³×C₅₃	1	4	yes	—
1418	#121	C₂³×C₅₃	1	4	yes	—
1419	#121	C₂³×C₅₃	1	4	yes	—
1420	#121	C₂³×C₅₃	1	4	yes	—
1421	#121	C₂³×C₅₃	1	4	yes	—
1422	#120	C₂³×C₅₃	1	4	yes	—
1423	#120	C₂³×C₅₃	1	4	yes	—
1424	#120	C₂³×C₅₃	1	2	yes	—
1425	#120	C₂³×C₅₃	1	2	yes	—
1426	#120	C₂³×C₅₃	1	4	yes	—
1427	#120	C₂³×C₅₃	1	4	yes	—
1428	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1429	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1430	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1431	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1432	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1433	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1434	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1435	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1436	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1437	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1438	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1439	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1440	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1441	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1442	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1443	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1444	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1445	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1446	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1447	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1448	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1449	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1450	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1451	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1452	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1453	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1454	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1455	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1456	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1457	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1458	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1459	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1460	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1461	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1462	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1463	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1464	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1465	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1466	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1467	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1468	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1469	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1470	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1471	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1472	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1473	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1474	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1475	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1476	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1477	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1478	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1479	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1480	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1481	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1482	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1483	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1484	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1485	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1486	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1487	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1488	#117	C₂³×C₅₃	1	4	yes	—
1489	#117	C₂³×C₅₃	1	4	yes	—
1490	#117	C₂³×C₅₃	1	4	yes	—
1491	#117	C₂³×C₅₃	1	4	yes	—
1492	#117	C₂³×C₅₃	1	2	yes	—
1493	#117	C₂³×C₅₃	1	4	yes	—
1494	#117	C₂³×C₅₃	1	1	yes	characteristic
1495	#117	C₂³×C₅₃	1	2	yes	—
1496	#117	C₂³×C₅₃	1	1	yes	characteristic
1497	#117	C₂³×C₅₃	1	4	yes	—
1498	#117	C₂³×C₅₃	1	4	yes	—
1499	#117	C₂³×C₅₃	1	1	yes	characteristic
1500	#117	C₂³×C₅₃	1	2	yes	—
1501	#117	C₂³×C₅₃	1	2	yes	—
1502	#117	C₂³×C₅₃	1	4	yes	—
1503	#117	C₂³×C₅₃	1	4	yes	—
1504	#117	C₂³×C₅₃	1	4	yes	—
1505	#117	C₂³×C₅₃	1	4	yes	—
1506	#117	C₂³×C₅₃	1	4	yes	—
1507	#117	C₂³×C₅₃	1	4	yes	—
1508	#117	C₂³×C₅₃	1	4	yes	—
1509	#117	C₂³×C₅₃	1	4	yes	—
1510	#117	C₂³×C₅₃	1	4	yes	—
1511	#117	C₂³×C₅₃	1	4	yes	—
1512	#117	C₂³×C₅₃	1	2	yes	—
1513	#117	C₂³×C₅₃	1	2	yes	—
1514	#117	C₂³×C₅₃	1	4	yes	—
1515	#117	C₂³×C₅₃	1	4	yes	—
1516	#117	C₂³×C₅₃	1	4	yes	—
1517	#117	C₂³×C₅₃	1	4	yes	—
1518	#117	C₂³×C₅₃	1	4	yes	—
1519	#117	C₂³×C₅₃	1	4	yes	—
1520	#117	C₂³×C₅₃	1	4	yes	—
1521	#117	C₂³×C₅₃	1	4	yes	—
1522	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1523	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1524	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1525	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1526	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1527	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1528	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1529	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1530	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1531	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1532	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1533	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1534	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1535	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1536	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1537	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1538	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1539	C₂×C₂²⋊C₄	C₂³×C₅₃	1	2	yes	—
1540	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1541	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1542	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1543	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1544	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1545	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1546	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1547	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1548	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1549	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1550	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1551	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1552	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1553	#41	—	4	8	no	—
1554	#41	—	4	2	no	—
1555	#41	—	4	4	no	—
1556	C₂×Q₈	—	4	4	no	—
1557	C₂×Q₈	—	4	2	no	—
1558	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1559	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1560	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1561	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1562	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1563	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1564	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1565	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1566	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1567	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1568	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1569	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1570	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1571	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1572	C₂×D₄	—	4	2	no	—
1573	C₂×D₄	—	4	4	no	—
1574	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1575	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1576	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1577	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1578	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1579	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1580	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1581	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1582	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1583	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1584	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1585	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1586	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1587	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1588	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1589	C₂²×C₄	—	4	4	no	—
1590	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1591	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1592	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1593	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1594	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1595	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1596	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1597	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1598	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1599	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1600	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1601	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1602	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1603	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1604	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1605	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1606	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1607	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1608	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1609	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1610	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1611	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1612	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1613	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1614	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1615	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1616	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1617	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1618	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1619	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1620	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1621	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1622	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1623	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1624	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1625	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1626	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1627	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1628	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1629	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1630	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1631	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1632	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1633	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1634	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1635	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1636	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1637	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1638	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1639	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1640	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1641	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1642	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1643	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1644	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1645	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1646	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1647	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1648	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1649	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1650	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1651	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1652	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1653	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1654	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1655	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1656	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1657	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1658	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1659	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1660	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1661	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1662	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1663	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1664	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1665	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1666	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1667	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1668	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1669	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1670	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1671	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1672	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1673	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1674	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1675	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1676	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1677	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1678	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1679	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1680	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1681	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1682	C₂²⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1684	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1685	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1686	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1687	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1688	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1689	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1690	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1691	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1692	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1693	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1694	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1695	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1696	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1697	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1698	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1699	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1700	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1701	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1702	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1703	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1704	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1705	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1706	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1707	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1708	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1709	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1710	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1711	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1712	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1713	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1714	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1715	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1716	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1717	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1718	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1719	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1720	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1721	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1722	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1723	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1724	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1725	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1726	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1727	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1728	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1729	C₄²	C₂⁴×C₅₃	1	2	yes	—
1730	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1731	C₄²	C₂⁴×C₅₃	1	4	yes	—
1732	C₄²	C₂⁴×C₅₃	1	4	yes	—
1733	C₄²	C₂⁴×C₅₃	1	2	yes	—
1734	C₄²	C₂⁴×C₅₃	1	4	yes	—
1735	C₄²	C₂⁴×C₅₃	1	2	yes	—
1736	C₄²	C₂⁴×C₅₃	1	4	yes	—
1737	C₄²	C₂⁴×C₅₃	1	4	yes	—
1738	C₄²	C₂⁴×C₅₃	1	2	yes	—
1739	C₄²	C₂⁴×C₅₃	1	2	yes	—
1740	C₄²	C₂⁴×C₅₃	1	4	yes	—
1741	C₄²	C₂⁴×C₅₃	1	4	yes	—
1742	C₄²	C₂⁴×C₅₃	1	4	yes	—
1743	C₄²	C₂⁴×C₅₃	1	2	yes	—
1744	C₄²	C₂⁴×C₅₃	1	4	yes	—
1745	C₄²	C₂⁴×C₅₃	1	4	yes	—
1746	C₄²	C₂⁴×C₅₃	1	4	yes	—
1747	C₄²	C₂⁴×C₅₃	1	4	yes	—
1748	C₄²	C₂⁴×C₅₃	1	4	yes	—
1749	C₄²	C₂⁴×C₅₃	1	2	yes	—
1750	C₄²	C₂⁴×C₅₃	1	2	yes	—
1751	C₄²	C₂⁴×C₅₃	1	4	yes	—
1752	C₄²	C₂⁴×C₅₃	1	2	yes	—
1753	C₄²	C₂⁴×C₅₃	1	2	yes	—
1754	C₂³	—	2	4	no	—
1755	C₂³	—	4	4	no	—
1756	C₂³	—	4	2	no	—
1757	C₂³	—	4	4	no	—
1758	C₂³	C₂⁵×C₅₃	1	2	yes	—
1759	C₂³	C₂⁵×C₅₃	1	4	yes	—
1760	C₂³	C₂⁵×C₅₃	1	2	yes	—
1761	C₂³	C₂⁵×C₅₃	1	2	yes	—
1762	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
1763	Q₈	—	4	2	no	—
1764	Q₈	—	4	4	no	—
1765	Q₈	—	4	1	no	—
1766	Q₈	—	4	1	no	—
1767	Q₈	—	4	2	no	—
1768	Q₈	—	4	2	no	—
1769	Q₈	—	4	4	no	—
1770	Q₈	—	4	4	no	—
1771	Q₈	—	4	2	no	—
1772	Q₈	—	4	4	no	—
1773	Q₈	—	4	4	no	—
1774	Q₈	—	4	4	no	—
1775	Q₈	—	4	1	no	—
1776	Q₈	—	4	2	no	—
1777	D₄	—	2	8	no	—
1778	D₄	—	2	4	no	—
1779	D₄	—	4	1	no	—
1780	D₄	—	4	1	no	—
1781	D₄	—	4	2	no	—
1782	D₄	—	4	4	no	—
1783	D₄	—	4	4	no	—
1784	D₄	—	4	2	no	—
1785	D₄	—	4	4	no	—
1786	D₄	—	4	4	no	—
1787	D₄	—	4	4	no	—
1788	D₄	—	4	4	no	—
1789	D₄	—	4	4	no	—
1790	D₄	—	4	1	no	—
1791	D₄	—	4	2	no	—
1792	C₂×C₄	—	2	8	no	—
1793	C₂×C₄	—	2	2	no	—
1794	C₂×C₄	—	2	4	no	—
1795	C₂×C₄	—	4	2	no	—
1796	C₂×C₄	—	4	4	no	—
1797	C₂×C₄	—	4	2	no	—
1798	C₂×C₄	—	4	2	no	—
1799	C₂×C₄	—	4	4	no	—
1800	C₂×C₄	—	4	4	no	—
1801	C₂×C₄	—	4	4	no	—
1802	C₂×C₄	—	4	4	no	—
1803	C₂×C₄	—	4	2	no	—
1804	C₂×C₄	—	4	4	no	—
1805	C₂×C₄	—	4	4	no	—
1806	C₂×C₄	—	4	2	no	—
1807	C₂×C₄	—	4	4	no	—
1808	C₂×C₄	—	4	4	no	—
1809	C₂×C₄	—	4	4	no	—
1810	C₂×C₄	—	4	2	no	—
1811	C₂×C₄	—	4	4	no	—
1812	C₂×C₄	—	4	4	no	—
1813	C₂×C₄	—	4	2	no	—
1814	C₂×C₄	—	4	4	no	—
1815	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1816	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1817	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1818	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1819	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1820	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1821	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1822	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1823	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1824	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1825	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1826	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1827	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1828	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1829	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
1830	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1831	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1832	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
1833	C₂²	—	2	2	no	—
1834	C₂²	—	2	2	no	—
1835	C₂²	—	2	2	no	—
1836	C₂²	—	2	4	no	—
1837	C₂²	—	2	2	no	—
1838	C₂²	—	2	2	no	—
1839	C₂²	—	2	4	no	—
1840	C₂²	—	2	4	no	—
1841	C₂²	—	2	4	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	4	no	—
1844	C₂²	—	8	4	no	—
1845	C₂²	—	16	2	no	—
1846	C₂²	C₅₃×#585	1	2	yes	—
1847	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
1848	C₄	—	2	4	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	4	no	—
1851	C₄	—	2	2	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	2	no	—
1854	C₄	—	2	4	no	—
1855	C₄	—	2	2	no	—
1856	C₄	—	2	2	no	—
1857	C₄	—	2	2	no	—
1858	C₄	—	2	4	no	—
1859	C₄	—	2	4	no	—
1860	C₄	—	2	4	no	—
1861	C₄	—	2	4	no	—
1862	C₄	—	2	2	no	—
1863	C₄	—	2	2	no	—
1864	C₄	—	2	4	no	—
1865	C₄	—	2	4	no	—
1866	C₂	—	2	2	no	—
1867	C₂	—	4	2	no	—
1868	C₂	—	4	2	no	—
1869	C₂	—	4	4	no	—
1870	C₂	—	4	2	no	—
1871	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
1872	C₂	C₅₃×2₋¹⁺⁶	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#3568	C₂	semidirect
2. C₅₃×#3566	C₂	semidirect
3. C₅₃×#3565	C₂	semidirect
4. C₅₃×#3564	C₂	semidirect
5. C₅₃×#3564	C₂	semidirect
6. C₅₃×#3564	C₂	semidirect
7. C₅₃×#3563	C₂	semidirect
8. C₅₃×#3563	C₂	semidirect
9. C₅₃×#3557	C₂	semidirect
10. C₅₃×#3555	C₂	semidirect
11. C₅₃×#3553	C₂	semidirect
12. C₅₃×#3545	C₂	semidirect
13. C₅₃×#3544	C₂	semidirect
14. C₅₃×#3535	C₂	semidirect
15. C₅₃×#3533	C₂	semidirect
16. C₅₃×#3531	C₂	semidirect
17. C₂×C₅₃×#563	C₂	semidirect
18. C₅₃×#3521	C₂	semidirect
19. C₅₃×#3515	C₂	semidirect
20. C₅₃×#3510	C₂	semidirect
21. C₅₃×#3509	C₂	semidirect
22. C₅₃×#3495	C₂	semidirect
23. C₅₃×#3491	C₂	semidirect
24. C₅₃×#564	C₂²	semidirect
25. C₅₃×#564	C₂²	semidirect
29. C₅₃×#563	C₂²	semidirect
30. C₅₃×#563	C₂²	semidirect
31. C₅₃×#563	C₂²	semidirect
32. C₅₃×#563	C₂²	semidirect
33. C₅₃×#563	C₂²	semidirect
34. C₅₃×#563	C₂²	semidirect
35. C₅₃×#563	C₂²	semidirect
36. C₅₃×#563	C₂²	semidirect
37. C₅₃×#563	C₂²	semidirect
38. C₅₃×#563	C₂²	semidirect
39. C₅₃×#563	C₂²	semidirect
40. C₅₃×#563	C₂²	semidirect
41. C₅₃×#563	C₂²	semidirect
42. C₅₃×#563	C₂²	semidirect
43. C₅₃×#563	C₂²	semidirect
44. C₅₃×#563	C₂²	semidirect
45. C₅₃×#563	C₂²	semidirect
47. C₅₃×#562	C₂²	semidirect
48. C₅₃×#562	C₂²	semidirect
49. C₅₃×#562	C₂²	semidirect
51. C₅₃×#560	C₂²	semidirect
52. C₅₃×#559	C₂²	semidirect
53. C₅₃×#559	C₂²	semidirect
54. Q₈²×C₅₃	C₂²	semidirect
55. C₅₃×#557	C₂²	semidirect
56. C₅₃×#557	C₂²	semidirect
57. C₅₃×#557	C₂²	semidirect
58. C₅₃×#557	C₂²	semidirect
59. C₅₃×#556	C₂²	semidirect
60. C₅₃×#556	C₂²	semidirect
61. C₅₃×#556	C₂²	semidirect
62. C₅₃×#556	C₂²	semidirect
63. C₅₃×#556	C₂²	semidirect
64. C₅₃×#556	C₂²	semidirect
65. C₅₃×#556	C₂²	semidirect
66. C₅₃×#556	C₂²	semidirect
67. C₅₃×#556	C₂²	semidirect
69. C₅₃×#555	C₂²	semidirect
70. C₅₃×#554	C₂²	semidirect
71. C₅₃×#554	C₂²	semidirect
72. C₅₃×#554	C₂²	semidirect
73. C₅₃×#554	C₂²	semidirect
74. C₅₃×#554	C₂²	semidirect
75. C₅₃×#554	C₂²	semidirect
76. C₅₃×#554	C₂²	semidirect
77. C₅₃×#554	C₂²	semidirect
79. C₅₃×#553	C₂²	semidirect
80. C₅₃×#553	C₂²	semidirect
81. C₅₃×#553	C₂²	semidirect
82. C₅₃×#553	C₂²	semidirect
84. C₅₃×#552	C₂²	semidirect
85. C₅₃×#552	C₂²	semidirect
86. C₅₃×#552	C₂²	semidirect
87. C₅₃×#552	C₂²	semidirect
88. C₅₃×#552	C₂²	semidirect
89. C₅₃×#552	C₂²	semidirect
90. C₅₃×#552	C₂²	semidirect
91. C₅₃×#552	C₂²	semidirect
92. C₅₃×#552	C₂²	semidirect
93. C₅₃×#552	C₂²	semidirect
94. C₅₃×#552	C₂²	semidirect
95. C₅₃×#552	C₂²	semidirect
96. C₅₃×#552	C₂²	semidirect
97. C₅₃×#552	C₂²	semidirect
98. C₅₃×#552	C₂²	semidirect
99. C₅₃×#552	C₂²	semidirect
100. C₅₃×#552	C₂²	semidirect
101. C₅₃×#552	C₂²	semidirect
102. C₅₃×#552	C₂²	semidirect
103. C₅₃×#552	C₂²	semidirect
104. C₅₃×#552	C₂²	semidirect
110. C₅₃×#551	C₂²	semidirect
111. C₅₃×#551	C₂²	semidirect
112. C₅₃×#551	C₂²	semidirect
113. C₅₃×#551	C₂²	semidirect
114. C₅₃×#551	C₂²	semidirect
115. C₅₃×#551	C₂²	semidirect
116. C₅₃×#551	C₂²	semidirect
117. C₅₃×#551	C₂²	semidirect
118. C₅₃×#551	C₂²	semidirect
121. C₅₃×#547	C₂²	semidirect
123. C₅₃×#546	C₂²	semidirect
124. C₅₃×#544	C₂²	semidirect
125. C₅₃×#544	C₂²	semidirect
126. C₅₃×#544	C₂²	semidirect
127. C₅₃×#544	C₂²	semidirect
128. C₅₃×#544	C₂²	semidirect
129. C₅₃×#543	C₂²	semidirect
130. C₅₃×#543	C₂²	semidirect
134. C₅₃×#542	C₂²	semidirect
135. C₅₃×#542	C₂²	semidirect
136. C₅₃×#542	C₂²	semidirect
137. C₅₃×#542	C₂²	semidirect
138. C₅₃×#542	C₂²	semidirect
139. C₅₃×#542	C₂²	semidirect
140. C₅₃×#542	C₂²	semidirect
141. C₅₃×#542	C₂²	semidirect
142. C₅₃×#542	C₂²	semidirect
143. C₅₃×#542	C₂²	semidirect
144. C₅₃×#541	C₂²	semidirect
145. C₅₃×#541	C₂²	semidirect
146. C₅₃×#541	C₂²	semidirect
147. C₅₃×#541	C₂²	semidirect
148. C₅₃×#541	C₂²	semidirect
149. C₅₃×#541	C₂²	semidirect
150. C₅₃×#541	C₂²	semidirect
151. C₅₃×#541	C₂²	semidirect
152. C₅₃×#541	C₂²	semidirect
153. C₅₃×#541	C₂²	semidirect
154. C₅₃×#541	C₂²	semidirect
155. C₅₃×#541	C₂²	semidirect
156. C₅₃×#541	C₂²	semidirect
161. C₅₃×#539	C₂²	semidirect
162. C₅₃×#539	C₂²	semidirect
163. C₅₃×#539	C₂²	semidirect
164. C₅₃×#539	C₂²	semidirect
165. C₅₃×#539	C₂²	semidirect
166. C₅₃×#539	C₂²	semidirect
167. C₅₃×#539	C₂²	semidirect
168. C₅₃×#539	C₂²	semidirect
169. C₅₃×#539	C₂²	semidirect
173. C₅₃×#538	C₂²	semidirect
174. C₅₃×#538	C₂²	semidirect
177. C₅₃×#536	C₂²	semidirect
178. C₅₃×#536	C₂²	semidirect
181. C₅₃×#533	C₂²	semidirect
182. C₅₃×#533	C₂²	semidirect
183. C₅₃×#533	C₂²	semidirect
184. C₅₃×#533	C₂²	semidirect
185. C₅₃×#533	C₂²	semidirect
186. C₅₃×#533	C₂²	semidirect
187. C₅₃×#533	C₂²	semidirect
188. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
192. C₅₃×#529	C₂²	semidirect
193. C₅₃×#529	C₂²	semidirect
194. C₅₃×#529	C₂²	semidirect
195. C₅₃×#529	C₂²	semidirect
196. C₅₃×#529	C₂²	semidirect
197. C₅₃×#529	C₂²	semidirect
198. C₅₃×#529	C₂²	semidirect
199. C₅₃×#529	C₂²	semidirect
200. C₅₃×#529	C₂²	semidirect
201. C₅₃×#529	C₂²	semidirect
202. C₂×#126×C₅₃	C₂²	semidirect
203. C₂×#126×C₅₃	C₂²	semidirect
204. C₂×#125×C₅₃	C₂²	semidirect
205. C₂×#125×C₅₃	C₂²	semidirect
209. C₂×#123×C₅₃	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
211. C₅₃×#520	C₂²	semidirect
212. C₅₃×#519	C₂²	semidirect
213. C₅₃×#519	C₂²	semidirect
215. C₅₃×#518	C₂²	semidirect
217. C₄×#41×C₅₃	C₂²	semidirect
218. C₂×#117×C₅₃	C₂²	semidirect
896. #63064	C₅₃	direct (N × H)
930. #3568	C₂×C₅₃	semidirect
931. #3566	C₂×C₅₃	semidirect
932. #3565	C₂×C₅₃	semidirect
933. #3564	C₂×C₅₃	semidirect
934. #3564	C₂×C₅₃	semidirect
935. #3564	C₂×C₅₃	semidirect
936. #3563	C₂×C₅₃	semidirect
937. #3563	C₂×C₅₃	semidirect
938. #3557	C₂×C₅₃	semidirect
939. #3555	C₂×C₅₃	semidirect
940. #3553	C₂×C₅₃	semidirect
941. #3545	C₂×C₅₃	semidirect
942. #3544	C₂×C₅₃	semidirect
943. #3535	C₂×C₅₃	semidirect
944. #3533	C₂×C₅₃	semidirect
945. #3531	C₂×C₅₃	semidirect
946. C₂×#563	C₂×C₅₃	semidirect
947. #3521	C₂×C₅₃	semidirect
948. #3515	C₂×C₅₃	semidirect
949. #3510	C₂×C₅₃	semidirect
950. #3509	C₂×C₅₃	semidirect
951. #3495	C₂×C₅₃	semidirect
952. #3491	C₂×C₅₃	semidirect
960. #564	C₂²×C₅₃	semidirect
961. #564	C₂²×C₅₃	semidirect
965. #563	C₂²×C₅₃	semidirect
966. #563	C₂²×C₅₃	semidirect
967. #563	C₂²×C₅₃	semidirect
968. #563	C₂²×C₅₃	semidirect
969. #563	C₂²×C₅₃	semidirect
970. #563	C₂²×C₅₃	semidirect
971. #563	C₂²×C₅₃	semidirect
972. #563	C₂²×C₅₃	semidirect
973. #563	C₂²×C₅₃	semidirect
974. #563	C₂²×C₅₃	semidirect
975. #563	C₂²×C₅₃	semidirect
976. #563	C₂²×C₅₃	semidirect
977. #563	C₂²×C₅₃	semidirect
978. #563	C₂²×C₅₃	semidirect
979. #563	C₂²×C₅₃	semidirect
980. #563	C₂²×C₅₃	semidirect
981. #563	C₂²×C₅₃	semidirect
983. #562	C₂²×C₅₃	semidirect
984. #562	C₂²×C₅₃	semidirect
985. #562	C₂²×C₅₃	semidirect
987. #560	C₂²×C₅₃	semidirect
988. #559	C₂²×C₅₃	semidirect
989. #559	C₂²×C₅₃	semidirect
990. Q₈²	C₂²×C₅₃	semidirect
991. #557	C₂²×C₅₃	semidirect
992. #557	C₂²×C₅₃	semidirect
993. #557	C₂²×C₅₃	semidirect
994. #557	C₂²×C₅₃	semidirect
995. #556	C₂²×C₅₃	semidirect
996. #556	C₂²×C₅₃	semidirect
997. #556	C₂²×C₅₃	semidirect
998. #556	C₂²×C₅₃	semidirect
999. #556	C₂²×C₅₃	semidirect
1000. #556	C₂²×C₅₃	semidirect
1001. #556	C₂²×C₅₃	semidirect
1002. #556	C₂²×C₅₃	semidirect
1003. #556	C₂²×C₅₃	semidirect
1005. #555	C₂²×C₅₃	semidirect
1006. #554	C₂²×C₅₃	semidirect
1007. #554	C₂²×C₅₃	semidirect
1008. #554	C₂²×C₅₃	semidirect
1009. #554	C₂²×C₅₃	semidirect
1010. #554	C₂²×C₅₃	semidirect
1011. #554	C₂²×C₅₃	semidirect
1012. #554	C₂²×C₅₃	semidirect
1013. #554	C₂²×C₅₃	semidirect
1015. #553	C₂²×C₅₃	semidirect
1016. #553	C₂²×C₅₃	semidirect
1017. #553	C₂²×C₅₃	semidirect
1018. #553	C₂²×C₅₃	semidirect
1020. #552	C₂²×C₅₃	semidirect
1021. #552	C₂²×C₅₃	semidirect
1022. #552	C₂²×C₅₃	semidirect
1023. #552	C₂²×C₅₃	semidirect
1024. #552	C₂²×C₅₃	semidirect
1025. #552	C₂²×C₅₃	semidirect
1026. #552	C₂²×C₅₃	semidirect
1027. #552	C₂²×C₅₃	semidirect
1028. #552	C₂²×C₅₃	semidirect
1029. #552	C₂²×C₅₃	semidirect
1030. #552	C₂²×C₅₃	semidirect
1031. #552	C₂²×C₅₃	semidirect
1032. #552	C₂²×C₅₃	semidirect
1033. #552	C₂²×C₅₃	semidirect
1034. #552	C₂²×C₅₃	semidirect
1035. #552	C₂²×C₅₃	semidirect
1036. #552	C₂²×C₅₃	semidirect
1037. #552	C₂²×C₅₃	semidirect
1038. #552	C₂²×C₅₃	semidirect
1039. #552	C₂²×C₅₃	semidirect
1040. #552	C₂²×C₅₃	semidirect
1046. #551	C₂²×C₅₃	semidirect
1047. #551	C₂²×C₅₃	semidirect
1048. #551	C₂²×C₅₃	semidirect
1049. #551	C₂²×C₅₃	semidirect
1050. #551	C₂²×C₅₃	semidirect
1051. #551	C₂²×C₅₃	semidirect
1052. #551	C₂²×C₅₃	semidirect
1053. #551	C₂²×C₅₃	semidirect
1054. #551	C₂²×C₅₃	semidirect
1057. #547	C₂²×C₅₃	semidirect
1059. #546	C₂²×C₅₃	semidirect
1060. #544	C₂²×C₅₃	semidirect
1061. #544	C₂²×C₅₃	semidirect
1062. #544	C₂²×C₅₃	semidirect
1063. #544	C₂²×C₅₃	semidirect
1064. #544	C₂²×C₅₃	semidirect
1065. #543	C₂²×C₅₃	semidirect
1066. #543	C₂²×C₅₃	semidirect
1070. #542	C₂²×C₅₃	semidirect
1071. #542	C₂²×C₅₃	semidirect
1072. #542	C₂²×C₅₃	semidirect
1073. #542	C₂²×C₅₃	semidirect
1074. #542	C₂²×C₅₃	semidirect
1075. #542	C₂²×C₅₃	semidirect
1076. #542	C₂²×C₅₃	semidirect
1077. #542	C₂²×C₅₃	semidirect
1078. #542	C₂²×C₅₃	semidirect
1079. #542	C₂²×C₅₃	semidirect
1080. #541	C₂²×C₅₃	semidirect
1081. #541	C₂²×C₅₃	semidirect
1082. #541	C₂²×C₅₃	semidirect
1083. #541	C₂²×C₅₃	semidirect
1084. #541	C₂²×C₅₃	semidirect
1085. #541	C₂²×C₅₃	semidirect
1086. #541	C₂²×C₅₃	semidirect
1087. #541	C₂²×C₅₃	semidirect
1088. #541	C₂²×C₅₃	semidirect
1089. #541	C₂²×C₅₃	semidirect
1090. #541	C₂²×C₅₃	semidirect
1091. #541	C₂²×C₅₃	semidirect
1092. #541	C₂²×C₅₃	semidirect
1097. #539	C₂²×C₅₃	semidirect
1098. #539	C₂²×C₅₃	semidirect
1099. #539	C₂²×C₅₃	semidirect
1100. #539	C₂²×C₅₃	semidirect
1101. #539	C₂²×C₅₃	semidirect
1102. #539	C₂²×C₅₃	semidirect
1103. #539	C₂²×C₅₃	semidirect
1104. #539	C₂²×C₅₃	semidirect
1105. #539	C₂²×C₅₃	semidirect
1109. #538	C₂²×C₅₃	semidirect
1110. #538	C₂²×C₅₃	semidirect
1113. #536	C₂²×C₅₃	semidirect
1114. #536	C₂²×C₅₃	semidirect
1117. #533	C₂²×C₅₃	semidirect
1118. #533	C₂²×C₅₃	semidirect
1119. #533	C₂²×C₅₃	semidirect
1120. #533	C₂²×C₅₃	semidirect
1121. #533	C₂²×C₅₃	semidirect
1122. #533	C₂²×C₅₃	semidirect
1123. #533	C₂²×C₅₃	semidirect
1124. C₂×C₄⋊Q₈	C₂²×C₅₃	semidirect
1128. #529	C₂²×C₅₃	semidirect
1129. #529	C₂²×C₅₃	semidirect
1130. #529	C₂²×C₅₃	semidirect
1131. #529	C₂²×C₅₃	semidirect
1132. #529	C₂²×C₅₃	semidirect
1133. #529	C₂²×C₅₃	semidirect
1134. #529	C₂²×C₅₃	semidirect
1135. #529	C₂²×C₅₃	semidirect
1136. #529	C₂²×C₅₃	semidirect
1137. #529	C₂²×C₅₃	semidirect
1138. C₂×#126	C₂²×C₅₃	semidirect
1139. C₂×#126	C₂²×C₅₃	semidirect
1140. C₂×#125	C₂²×C₅₃	semidirect
1141. C₂×#125	C₂²×C₅₃	semidirect
1145. C₂×#123	C₂²×C₅₃	semidirect
1146. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1147. #520	C₂²×C₅₃	semidirect
1148. #519	C₂²×C₅₃	semidirect
1149. #519	C₂²×C₅₃	semidirect
1151. #518	C₂²×C₅₃	semidirect
1153. C₄×#41	C₂²×C₅₃	semidirect
1154. C₂×#117	C₂²×C₅₃	semidirect
1155. C₅₃	#63064	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×#3568	2
C₅₃×#3566	2
C₅₃×#3565	2
C₅₃×#3564	2
C₅₃×#3563	2
C₅₃×#3557	2
C₅₃×#3555	2
C₅₃×#3553	2
C₅₃×#3545	2
C₅₃×#3544	2
C₅₃×#3535	2
C₅₃×#3533	2
C₅₃×#3531	2
C₂×C₅₃×#563	2
C₅₃×#3521	2
C₅₃×#3515	2
C₅₃×#3510	2
C₅₃×#3509	2
C₅₃×#3495	2
C₅₃×#3491	2
#63064	53

Subgroups — C53×#63064 #27270576

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63064 #27270576