Subgroups — C₅₃×#62080 #27269592

Order 13568.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#3521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#3402	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#3261	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3258	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3256	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
30	C₅₃×#3039	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#137×C₅₃	C₂²	1	1	yes	characteristic
33	C₂×#137×C₅₃	C₂²	1	1	yes	characteristic
34	C₂×#137×C₅₃	C₂²	1	1	yes	characteristic
35	C₂×AGL(1,ℤ/8)×C₅₃	C₂²	1	1	yes	characteristic
36	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic
37	C₂²×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
38	C₅₃×#563	—	2	1	no	—
39	C₅₃×#563	—	2	1	no	—
40	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
41	C₅₃×#556	C₂²	1	1	yes	characteristic
42	C₅₃×#556	C₂²	1	1	yes	characteristic
43	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
44	C₅₃×#554	—	2	1	no	—
45	C₅₃×#554	C₂²	1	1	yes	characteristic
46	C₅₃×#553	—	2	1	no	—
47	C₅₃×#553	—	2	1	no	—
48	C₅₃×#553	C₂²	1	1	yes	characteristic
49	C₅₃×#552	—	2	1	no	—
50	C₅₃×#552	C₂²	1	1	yes	characteristic
51	C₅₃×#551	—	2	1	no	—
52	C₅₃×#551	—	2	1	no	—
53	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
54	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
55	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
56	C₅₃×#548	C₂²	1	1	yes	characteristic
57	C₅₃×#548	C₂²	1	1	yes	characteristic, complemented
58	C₅₃×#547	C₂²	1	1	yes	characteristic
59	C₅₃×#547	C₂²	1	1	yes	characteristic
60	C₅₃×#546	C₂²	1	1	yes	characteristic
61	C₅₃×#546	C₂²	1	1	yes	characteristic
62	C₅₃×#544	—	2	1	no	—
63	C₅₃×#542	—	2	1	no	—
64	C₅₃×#542	C₂²	1	1	yes	characteristic
65	C₅₃×#541	C₂²	1	1	yes	characteristic
66	C₅₃×#541	C₂²	1	1	yes	characteristic
67	C₅₃×#541	C₂²	1	1	yes	characteristic, complemented
68	C₅₃×#539	—	2	1	no	—
69	C₅₃×#539	—	2	1	no	—
70	C₅₃×#539	—	2	1	no	—
71	C₅₃×#538	—	2	1	no	—
72	C₅₃×#536	C₂²	1	1	yes	characteristic
73	C₅₃×#536	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
75	C₅₃×#529	—	2	1	no	—
76	C₅₃×#529	C₂²	1	1	yes	characteristic
77	C₅₃×#529	C₂²	1	1	yes	characteristic
78	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
79	C₂×#126×C₅₃	—	2	1	no	—
80	C₅₃×#520	C₂²	1	1	yes	characteristic
81	C₅₃×#518	C₂²	1	1	yes	characteristic
82	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic
83	C₅₃×#497	C₂²	1	1	yes	characteristic
84	C₅₃×#497	C₂²	1	1	yes	characteristic
85	C₅₃×#497	C₂²	1	1	yes	characteristic
86	C₅₃×#497	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#495	C₂²	1	1	yes	characteristic
88	C₅₃×#494	C₂²	1	1	yes	characteristic, complemented
89	C₅₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#491	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#491	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#488	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#487	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#485	C₂²	1	1	yes	characteristic
96	C₅₃×#485	C₂²	1	1	yes	characteristic
97	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
98	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
99	C₅₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
102	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
103	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
104	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#478	C₂²	1	1	yes	characteristic
107	C₅₃×#478	C₂²	1	1	yes	characteristic
108	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#475	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#470	C₂²	1	1	yes	characteristic
112	C₅₃×#470	C₂²	1	1	yes	characteristic
113	C₅₃×#470	C₂²	1	1	yes	characteristic, complemented
114	C₅₃×#470	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#469	C₂²	1	1	yes	characteristic
116	C₅₃×#468	C₂²	1	1	yes	characteristic
117	C₅₃×#468	C₂²	1	1	yes	characteristic
118	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#467	C₂²	1	1	yes	characteristic
120	C₅₃×#467	C₂²	1	1	yes	characteristic
121	C₅₃×#467	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#465	C₂²	1	1	yes	characteristic
123	C₅₃×#464	C₂²	1	1	yes	characteristic
124	C₅₃×#464	C₂²	1	1	yes	characteristic
125	C₅₃×#464	C₂²	1	1	yes	characteristic
126	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
129	C₅₃×#463	C₂²	1	1	yes	characteristic
130	C₅₃×#463	C₂²	1	1	yes	characteristic
131	C₅₃×#463	C₂²	1	1	yes	characteristic
132	C₅₃×#463	C₂²	1	1	yes	characteristic
133	C₅₃×#463	C₂²	1	1	yes	characteristic
134	C₅₃×#463	C₂²	1	1	yes	characteristic
135	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
139	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
142	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
143	C₅₃×#462	C₂²	1	1	yes	characteristic, complemented
144	C₅₃×#461	C₂²	1	1	yes	characteristic
145	C₅₃×#461	C₂²	1	1	yes	characteristic
146	C₅₃×#461	C₂²	1	1	yes	characteristic
147	C₅₃×#461	C₂²	1	1	yes	characteristic
148	C₅₃×#461	C₂²	1	1	yes	characteristic
149	C₅₃×#461	C₂²	1	1	yes	characteristic
150	C₅₃×#461	C₂²	1	1	yes	characteristic
151	C₅₃×#461	C₂²	1	1	yes	characteristic
152	C₅₃×#461	C₂²	1	1	yes	characteristic
153	C₅₃×#452	C₂²	1	1	yes	characteristic
154	C₅₃×#452	C₂²	1	1	yes	characteristic
155	C₅₃×#452	C₂²	1	1	yes	characteristic
156	C₅₃×#452	C₂²	1	1	yes	characteristic
157	C₅₃×#452	C₂²	1	1	yes	characteristic
158	C₅₃×#452	C₂²	1	1	yes	characteristic, complemented
159	C₅₃×#451	C₂²	1	1	yes	characteristic
160	C₅₃×#451	C₂²	1	1	yes	characteristic
161	C₅₃×#451	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#451	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#451	C₂²	1	1	yes	characteristic, complemented
164	C₅₃×#450	C₂²	1	1	yes	characteristic
165	C₅₃×#450	C₂²	1	1	yes	characteristic
166	C₅₃×#449	C₂²	1	1	yes	characteristic
167	C₅₃×#449	C₂²	1	1	yes	characteristic
168	C₅₃×#448	C₂²	1	1	yes	characteristic
169	C₅₃×#448	C₂²	1	1	yes	characteristic
170	C₅₃×#448	C₂²	1	1	yes	characteristic
171	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
172	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#442	C₂²	1	1	yes	characteristic
174	C₅₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₅₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#440	C₂²	1	1	yes	characteristic
177	C₅₃×#440	C₂²	1	1	yes	characteristic
178	C₅₃×#440	C₂²	1	1	yes	characteristic
179	C₅₃×#440	C₂²	1	1	yes	characteristic
180	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×Q₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
183	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
184	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
185	C₅₃×#436	C₂²	1	1	yes	characteristic
186	C₅₃×#436	C₂²	1	1	yes	characteristic, complemented
187	C₅₃×#435	C₂²	1	1	yes	characteristic
188	C₅₃×#435	C₂²	1	1	yes	characteristic
189	C₅₃×#435	C₂²	1	1	yes	characteristic
190	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#433	C₂²	1	1	yes	characteristic
192	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#424	C₂²	1	1	yes	characteristic
195	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#423	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#419	C₂²	1	1	yes	characteristic
198	C₅₃×#419	C₂²	1	1	yes	characteristic, complemented
199	C₅₃×#419	C₂²	1	1	yes	characteristic, complemented
200	C₅₃×#417	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#416	C₂²	1	1	yes	characteristic
202	C₂×#103×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
204	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
205	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
206	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
208	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
210	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
212	#137×C₅₃	—	4	2	no	—
213	#137×C₅₃	—	4	2	no	—
214	#137×C₅₃	—	4	2	no	—
215	AGL(1,ℤ/8)×C₅₃	—	4	2	no	—
216	#135×C₅₃	—	4	2	no	—
217	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
218	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
219	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
220	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
221	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
222	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
223	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
224	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
225	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
226	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
227	C₂×SD₁₆×C₅₃	—	4	2	no	—
228	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
229	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
230	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
231	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
232	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
233	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
234	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
235	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
236	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
237	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
238	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
239	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
240	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
241	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
242	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
243	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
244	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
245	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
248	C₄⋊Q₈×C₅₃	—	2	1	no	—
249	C₄⋊Q₈×C₅₃	—	2	1	no	—
250	C₄⋊Q₈×C₅₃	—	2	1	no	—
251	C₄⋊Q₈×C₅₃	—	2	1	no	—
252	C₄⋊Q₈×C₅₃	—	2	1	no	—
253	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
254	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
255	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
256	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
257	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
258	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
259	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
260	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
261	#126×C₅₃	—	2	1	no	—
262	#126×C₅₃	—	2	1	no	—
263	#126×C₅₃	—	2	1	no	—
264	#126×C₅₃	—	2	1	no	—
265	#126×C₅₃	—	2	1	no	—
266	#126×C₅₃	—	2	1	no	—
267	#126×C₅₃	—	2	1	no	—
268	#126×C₅₃	—	2	1	no	—
269	#126×C₅₃	—	2	1	no	—
270	#126×C₅₃	—	2	1	no	—
271	#126×C₅₃	—	2	1	no	—
272	#126×C₅₃	—	2	1	no	—
273	#126×C₅₃	—	2	1	no	—
274	#126×C₅₃	—	2	1	no	—
275	#126×C₅₃	—	2	1	no	—
276	#126×C₅₃	—	2	1	no	—
277	#126×C₅₃	—	2	1	no	—
278	#126×C₅₃	D₄	1	1	yes	characteristic
279	#126×C₅₃	D₄	1	1	yes	characteristic
280	#125×C₅₃	—	2	1	no	—
281	#125×C₅₃	—	2	1	no	—
282	#125×C₅₃	—	2	1	no	—
283	#125×C₅₃	—	2	1	no	—
284	#125×C₅₃	—	2	1	no	—
285	#125×C₅₃	—	2	1	no	—
286	#125×C₅₃	—	2	1	no	—
287	#125×C₅₃	—	2	1	no	—
288	#125×C₅₃	—	2	1	no	—
289	#125×C₅₃	—	2	1	no	—
290	#125×C₅₃	D₄	1	1	yes	characteristic
291	#125×C₅₃	C₂³	1	1	yes	characteristic
292	#125×C₅₃	C₂³	1	1	yes	characteristic
293	#125×C₅₃	C₂³	1	1	yes	characteristic
294	#124×C₅₃	—	2	1	no	—
295	#124×C₅₃	—	2	1	no	—
296	#124×C₅₃	—	2	1	no	—
297	#124×C₅₃	—	2	1	no	—
298	#124×C₅₃	D₄	1	1	yes	characteristic
299	#124×C₅₃	C₂³	1	1	yes	characteristic
300	#124×C₅₃	C₂³	1	1	yes	characteristic
301	#124×C₅₃	C₂³	1	1	yes	characteristic
302	#124×C₅₃	C₂³	1	1	yes	characteristic
303	#124×C₅₃	C₂³	1	1	yes	characteristic
304	#123×C₅₃	—	2	1	no	—
305	#123×C₅₃	—	2	1	no	—
306	#123×C₅₃	—	2	1	no	—
307	#123×C₅₃	—	2	1	no	—
308	#123×C₅₃	—	2	1	no	—
309	#123×C₅₃	—	2	1	no	—
310	#123×C₅₃	—	2	1	no	—
311	#123×C₅₃	—	2	1	no	—
312	#123×C₅₃	—	2	1	no	—
313	#123×C₅₃	—	2	1	no	—
314	#123×C₅₃	—	2	1	no	—
315	#123×C₅₃	—	2	1	no	—
316	#123×C₅₃	—	2	1	no	—
317	#123×C₅₃	—	2	1	no	—
318	#123×C₅₃	—	2	1	no	—
319	#123×C₅₃	D₄	1	1	yes	characteristic
320	#123×C₅₃	D₄	1	1	yes	characteristic
321	C₂²⋊Q₈×C₅₃	—	2	1	no	—
322	C₂²⋊Q₈×C₅₃	—	2	1	no	—
323	C₂²⋊Q₈×C₅₃	—	2	1	no	—
324	C₂²⋊Q₈×C₅₃	—	2	1	no	—
325	C₂²⋊Q₈×C₅₃	—	2	1	no	—
326	C₂²⋊Q₈×C₅₃	—	2	1	no	—
327	C₂²⋊Q₈×C₅₃	—	2	1	no	—
328	C₂²⋊Q₈×C₅₃	—	2	1	no	—
329	C₂²⋊Q₈×C₅₃	—	2	1	no	—
330	C₂²⋊Q₈×C₅₃	—	2	1	no	—
331	C₂²⋊Q₈×C₅₃	—	2	1	no	—
332	C₂²⋊Q₈×C₅₃	—	2	1	no	—
333	C₂²⋊Q₈×C₅₃	—	2	1	no	—
334	C₂²⋊Q₈×C₅₃	—	2	1	no	—
335	C₂²⋊Q₈×C₅₃	—	2	1	no	—
336	C₂²⋊Q₈×C₅₃	—	2	1	no	—
337	C₂²⋊Q₈×C₅₃	—	2	1	no	—
338	C₂²⋊Q₈×C₅₃	—	2	1	no	—
339	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
340	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
341	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
342	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
343	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
344	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
345	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
346	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
347	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
348	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
349	#121×C₅₃	—	2	1	no	—
350	#121×C₅₃	—	2	1	no	—
351	#121×C₅₃	—	2	1	no	—
352	#121×C₅₃	—	2	1	no	—
353	#121×C₅₃	—	2	1	no	—
354	#121×C₅₃	—	2	1	no	—
355	#121×C₅₃	—	2	1	no	—
356	#121×C₅₃	D₄	1	1	yes	characteristic
357	#121×C₅₃	C₂³	1	1	yes	characteristic
358	#121×C₅₃	C₂³	1	1	yes	characteristic
359	#121×C₅₃	C₂³	1	1	yes	characteristic
360	#120×C₅₃	—	2	1	no	—
361	#120×C₅₃	—	2	1	no	—
362	C₄×Q₈×C₅₃	—	2	1	no	—
363	C₄×Q₈×C₅₃	—	2	1	no	—
364	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
365	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
366	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
367	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
368	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
369	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
370	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
371	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
374	C₄×D₄×C₅₃	—	2	1	no	—
375	C₄×D₄×C₅₃	—	2	1	no	—
376	C₄×D₄×C₅₃	—	2	1	no	—
377	C₄×D₄×C₅₃	—	2	1	no	—
378	C₄×D₄×C₅₃	—	2	1	no	—
379	C₄×D₄×C₅₃	—	2	1	no	—
380	C₄×D₄×C₅₃	—	2	1	no	—
381	C₄×D₄×C₅₃	—	2	1	no	—
382	C₄×D₄×C₅₃	—	2	1	no	—
383	C₄×D₄×C₅₃	—	2	1	no	—
384	C₄×D₄×C₅₃	—	2	1	no	—
385	C₄×D₄×C₅₃	—	2	1	no	—
386	C₄×D₄×C₅₃	—	2	1	no	—
387	C₄×D₄×C₅₃	—	2	1	no	—
388	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
389	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
390	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
391	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
392	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
393	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
394	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
395	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
397	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
398	#117×C₅₃	—	2	1	no	—
399	#117×C₅₃	—	2	1	no	—
400	#117×C₅₃	—	2	1	no	—
401	#117×C₅₃	—	2	1	no	—
402	#117×C₅₃	—	2	1	no	—
403	#117×C₅₃	—	2	1	no	—
404	#117×C₅₃	—	2	1	no	—
405	#117×C₅₃	C₂³	1	1	yes	characteristic
406	#117×C₅₃	C₂³	1	1	yes	characteristic
407	#117×C₅₃	C₂³	1	1	yes	characteristic
408	#117×C₅₃	C₂³	1	1	yes	characteristic
409	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
410	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
411	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
412	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
413	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
414	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
415	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
417	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
418	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
419	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
420	C₂×C₄²×C₅₃	—	2	1	no	—
421	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
422	#107×C₅₃	C₂³	1	1	yes	characteristic
423	#107×C₅₃	C₂³	1	1	yes	characteristic
424	#107×C₅₃	C₂³	1	1	yes	characteristic
425	#107×C₅₃	C₂³	1	1	yes	characteristic
426	#106×C₅₃	C₂³	1	1	yes	characteristic
427	#106×C₅₃	C₂³	1	1	yes	characteristic
428	#106×C₅₃	C₂³	1	1	yes	characteristic
429	#106×C₅₃	C₂³	1	1	yes	characteristic
430	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
431	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
432	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
433	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
434	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
435	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
436	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
437	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
438	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
439	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
440	#103×C₅₃	C₂³	1	1	yes	characteristic
441	#103×C₅₃	C₂³	1	1	yes	characteristic
442	#103×C₅₃	C₂³	1	1	yes	characteristic
443	#103×C₅₃	C₂³	1	1	yes	characteristic
444	#103×C₅₃	C₂³	1	1	yes	characteristic
445	#103×C₅₃	C₂³	1	1	yes	characteristic
446	#103×C₅₃	C₂³	1	1	yes	characteristic
447	#103×C₅₃	C₂³	1	1	yes	characteristic
448	#103×C₅₃	C₂³	1	1	yes	characteristic
449	#103×C₅₃	C₂³	1	1	yes	characteristic
450	#103×C₅₃	C₂³	1	1	yes	characteristic
451	#103×C₅₃	C₂³	1	1	yes	characteristic
452	#103×C₅₃	C₂³	1	1	yes	characteristic
453	#103×C₅₃	C₂³	1	1	yes	characteristic
454	#103×C₅₃	C₂³	1	1	yes	characteristic
455	#103×C₅₃	C₂³	1	1	yes	characteristic
456	#103×C₅₃	C₂³	1	1	yes	characteristic
457	#103×C₅₃	C₂³	1	1	yes	characteristic
458	#103×C₅₃	C₂³	1	1	yes	characteristic
459	#103×C₅₃	C₂³	1	1	yes	characteristic
460	#103×C₅₃	C₂³	1	1	yes	characteristic
461	#103×C₅₃	C₂³	1	1	yes	characteristic
462	#103×C₅₃	C₂³	1	1	yes	characteristic
463	#103×C₅₃	C₂³	1	1	yes	characteristic
464	#102×C₅₃	C₂³	1	1	yes	characteristic
465	#102×C₅₃	C₂³	1	1	yes	characteristic
466	#102×C₅₃	C₂³	1	1	yes	characteristic
467	#102×C₅₃	C₂³	1	1	yes	characteristic
468	#102×C₅₃	C₂³	1	1	yes	characteristic
469	#102×C₅₃	C₂³	1	1	yes	characteristic
470	#102×C₅₃	C₂³	1	1	yes	characteristic
471	#102×C₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
478	#97×C₅₃	C₂³	1	1	yes	characteristic
479	#97×C₅₃	C₂³	1	1	yes	characteristic
480	#97×C₅₃	C₂³	1	1	yes	characteristic
481	#97×C₅₃	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
484	C₂⁴×C₅₃	—	2	1	no	—
485	#41×C₅₃	—	2	2	no	—
486	#41×C₅₃	—	2	2	no	—
487	#41×C₅₃	—	4	1	no	—
488	#41×C₅₃	—	4	1	no	—
489	#41×C₅₃	—	4	1	no	—
490	#41×C₅₃	—	4	1	no	—
491	#41×C₅₃	—	4	1	no	—
492	#41×C₅₃	—	4	1	no	—
493	C₂×Q₈×C₅₃	—	2	1	no	—
494	C₂×Q₈×C₅₃	—	2	1	no	—
495	C₂×Q₈×C₅₃	—	2	1	no	—
496	C₂×Q₈×C₅₃	—	2	1	no	—
497	C₂×Q₈×C₅₃	—	2	1	no	—
498	C₂×Q₈×C₅₃	—	4	1	no	—
499	C₂×Q₈×C₅₃	—	4	1	no	—
500	C₂×Q₈×C₅₃	—	4	1	no	—
501	C₂×Q₈×C₅₃	—	4	1	no	—
502	C₂×Q₈×C₅₃	—	4	1	no	—
503	C₂×Q₈×C₅₃	—	4	1	no	—
504	C₂×Q₈×C₅₃	—	4	1	no	—
505	C₂×Q₈×C₅₃	—	4	1	no	—
506	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
507	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
511	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
512	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
513	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₅₃	—	2	2	no	—
515	C₂×D₄×C₅₃	—	2	1	no	—
516	C₂×D₄×C₅₃	—	2	1	no	—
517	C₂×D₄×C₅₃	—	2	1	no	—
518	C₂×D₄×C₅₃	—	2	1	no	—
519	C₂×D₄×C₅₃	—	2	1	no	—
520	C₂×D₄×C₅₃	—	2	1	no	—
521	C₂×D₄×C₅₃	—	2	1	no	—
522	C₂×D₄×C₅₃	—	2	1	no	—
523	C₂×D₄×C₅₃	—	4	1	no	—
524	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
525	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
528	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₅₃	—	2	1	no	—
531	C₂²×C₄×C₅₃	—	2	1	no	—
532	C₂²×C₄×C₅₃	—	2	1	no	—
533	C₂²×C₄×C₅₃	—	2	1	no	—
534	C₂²×C₄×C₅₃	—	2	1	no	—
535	C₂²×C₄×C₅₃	—	2	1	no	—
536	C₂²×C₄×C₅₃	—	2	1	no	—
537	C₂²×C₄×C₅₃	—	2	1	no	—
538	C₂²×C₄×C₅₃	—	2	1	no	—
539	C₂²×C₄×C₅₃	—	2	1	no	—
540	C₂²×C₄×C₅₃	—	2	1	no	—
541	C₂²×C₄×C₅₃	—	2	1	no	—
542	C₂²×C₄×C₅₃	—	2	1	no	—
543	C₂²×C₄×C₅₃	—	2	1	no	—
544	C₂²×C₄×C₅₃	—	2	1	no	—
545	C₂²×C₄×C₅₃	—	2	1	no	—
546	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
551	Q₁₆×C₅₃	—	4	1	no	—
552	Q₁₆×C₅₃	—	4	1	no	—
553	Q₁₆×C₅₃	—	4	1	no	—
554	Q₁₆×C₅₃	—	4	1	no	—
555	Q₁₆×C₅₃	—	4	1	no	—
556	Q₁₆×C₅₃	—	4	1	no	—
557	Q₁₆×C₅₃	—	4	1	no	—
558	Q₁₆×C₅₃	—	4	1	no	—
559	Q₁₆×C₅₃	—	4	1	no	—
560	Q₁₆×C₅₃	—	4	1	no	—
561	SD₁₆×C₅₃	—	2	2	no	—
562	SD₁₆×C₅₃	—	2	2	no	—
563	SD₁₆×C₅₃	—	2	2	no	—
564	SD₁₆×C₅₃	—	2	2	no	—
565	SD₁₆×C₅₃	—	2	2	no	—
566	SD₁₆×C₅₃	—	4	1	no	—
567	SD₁₆×C₅₃	—	4	1	no	—
568	SD₁₆×C₅₃	—	4	1	no	—
569	SD₁₆×C₅₃	—	4	1	no	—
570	SD₁₆×C₅₃	—	4	1	no	—
571	SD₁₆×C₅₃	—	4	1	no	—
572	SD₁₆×C₅₃	—	4	1	no	—
573	D₈×C₅₃	—	2	2	no	—
574	D₈×C₅₃	—	4	1	no	—
575	M₁₆×C₅₃	—	4	1	no	—
576	M₁₆×C₅₃	—	4	1	no	—
577	M₁₆×C₅₃	—	4	1	no	—
578	M₁₆×C₅₃	—	4	1	no	—
579	C₂×C₈×C₅₃	—	4	1	no	—
580	C₂×C₈×C₅₃	—	4	1	no	—
581	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
588	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
589	C₄⋊C₄×C₅₃	—	2	1	no	—
590	C₄⋊C₄×C₅₃	—	2	1	no	—
591	C₄⋊C₄×C₅₃	—	2	1	no	—
592	C₄⋊C₄×C₅₃	—	2	1	no	—
593	C₄⋊C₄×C₅₃	—	2	1	no	—
594	C₄⋊C₄×C₅₃	—	2	1	no	—
595	C₄⋊C₄×C₅₃	—	2	1	no	—
596	C₄⋊C₄×C₅₃	—	2	1	no	—
597	C₄⋊C₄×C₅₃	—	2	1	no	—
598	C₄⋊C₄×C₅₃	—	2	1	no	—
599	C₄⋊C₄×C₅₃	—	2	1	no	—
600	C₄⋊C₄×C₅₃	—	2	1	no	—
601	C₄⋊C₄×C₅₃	—	2	1	no	—
602	C₄⋊C₄×C₅₃	—	2	1	no	—
603	C₄⋊C₄×C₅₃	—	2	1	no	—
604	C₄⋊C₄×C₅₃	—	2	1	no	—
605	C₄⋊C₄×C₅₃	—	2	1	no	—
606	C₄⋊C₄×C₅₃	—	2	1	no	—
607	C₄⋊C₄×C₅₃	—	2	1	no	—
608	C₄⋊C₄×C₅₃	—	2	1	no	—
609	C₄⋊C₄×C₅₃	—	2	1	no	—
610	C₄⋊C₄×C₅₃	—	2	1	no	—
611	C₄⋊C₄×C₅₃	—	2	1	no	—
612	C₄⋊C₄×C₅₃	—	2	1	no	—
613	C₄⋊C₄×C₅₃	—	2	1	no	—
614	C₄⋊C₄×C₅₃	—	2	1	no	—
615	C₄⋊C₄×C₅₃	—	2	1	no	—
616	C₄⋊C₄×C₅₃	—	2	1	no	—
617	C₄⋊C₄×C₅₃	—	2	1	no	—
618	C₄⋊C₄×C₅₃	—	2	1	no	—
619	C₄⋊C₄×C₅₃	—	2	1	no	—
620	C₄⋊C₄×C₅₃	—	2	1	no	—
621	C₄⋊C₄×C₅₃	—	2	1	no	—
622	C₄⋊C₄×C₅₃	—	2	1	no	—
623	C₄⋊C₄×C₅₃	—	2	1	no	—
624	C₄⋊C₄×C₅₃	—	2	1	no	—
625	C₄⋊C₄×C₅₃	—	2	1	no	—
626	C₄⋊C₄×C₅₃	—	2	1	no	—
627	C₄⋊C₄×C₅₃	—	2	1	no	—
628	C₄⋊C₄×C₅₃	—	2	1	no	—
629	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
630	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
631	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
632	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
633	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
634	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
635	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
636	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
637	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
638	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
639	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
640	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
642	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
644	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
645	C₂²⋊C₄×C₅₃	—	2	1	no	—
646	C₂²⋊C₄×C₅₃	—	2	1	no	—
647	C₂²⋊C₄×C₅₃	—	2	1	no	—
648	C₂²⋊C₄×C₅₃	—	2	1	no	—
649	C₂²⋊C₄×C₅₃	—	2	1	no	—
650	C₂²⋊C₄×C₅₃	—	2	1	no	—
651	C₂²⋊C₄×C₅₃	—	2	1	no	—
652	C₂²⋊C₄×C₅₃	—	2	1	no	—
653	C₂²⋊C₄×C₅₃	—	2	1	no	—
654	C₂²⋊C₄×C₅₃	—	2	1	no	—
655	C₂²⋊C₄×C₅₃	—	2	1	no	—
656	C₂²⋊C₄×C₅₃	—	2	1	no	—
657	C₂²⋊C₄×C₅₃	—	2	1	no	—
658	C₂²⋊C₄×C₅₃	—	2	1	no	—
659	C₂²⋊C₄×C₅₃	—	2	1	no	—
660	C₂²⋊C₄×C₅₃	—	2	1	no	—
661	C₂²⋊C₄×C₅₃	—	2	1	no	—
662	C₂²⋊C₄×C₅₃	—	2	1	no	—
663	C₂²⋊C₄×C₅₃	—	2	1	no	—
664	C₂²⋊C₄×C₅₃	—	2	1	no	—
665	C₂²⋊C₄×C₅₃	—	2	1	no	—
666	C₂²⋊C₄×C₅₃	—	2	1	no	—
667	C₂²⋊C₄×C₅₃	—	2	1	no	—
668	C₂²⋊C₄×C₅₃	—	2	1	no	—
669	C₂²⋊C₄×C₅₃	—	2	1	no	—
670	C₂²⋊C₄×C₅₃	—	2	1	no	—
671	C₂²⋊C₄×C₅₃	—	2	1	no	—
672	C₂²⋊C₄×C₅₃	—	2	1	no	—
673	C₂²⋊C₄×C₅₃	—	2	1	no	—
674	C₂²⋊C₄×C₅₃	—	2	1	no	—
675	C₂²⋊C₄×C₅₃	—	2	1	no	—
676	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₅₃	—	2	1	no	—
687	C₄²×C₅₃	—	2	1	no	—
688	C₄²×C₅₃	—	2	1	no	—
689	C₄²×C₅₃	—	2	1	no	—
690	C₄²×C₅₃	—	2	1	no	—
691	C₄²×C₅₃	—	2	1	no	—
692	C₄²×C₅₃	—	2	1	no	—
693	C₄²×C₅₃	—	2	1	no	—
694	C₄²×C₅₃	—	2	1	no	—
695	C₄²×C₅₃	—	2	1	no	—
696	C₄²×C₅₃	—	2	1	no	—
697	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
699	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
700	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
701	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
702	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
703	C₂³×C₅₃	—	2	1	no	—
704	C₂³×C₅₃	—	2	1	no	—
705	C₂³×C₅₃	—	2	1	no	—
706	C₂³×C₅₃	—	4	2	no	—
707	C₂³×C₅₃	—	8	1	no	—
708	C₂³×C₅₃	—	8	1	no	—
709	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
710	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
711	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
712	Q₈×C₅₃	—	2	1	no	—
713	Q₈×C₅₃	—	2	1	no	—
714	Q₈×C₅₃	—	2	1	no	—
715	Q₈×C₅₃	—	2	1	no	—
716	Q₈×C₅₃	—	2	1	no	—
717	Q₈×C₅₃	—	2	1	no	—
718	Q₈×C₅₃	—	2	1	no	—
719	Q₈×C₅₃	—	2	1	no	—
720	Q₈×C₅₃	—	2	1	no	—
721	Q₈×C₅₃	—	2	1	no	—
722	Q₈×C₅₃	—	2	1	no	—
723	Q₈×C₅₃	—	2	1	no	—
724	Q₈×C₅₃	—	2	1	no	—
725	Q₈×C₅₃	—	2	1	no	—
726	Q₈×C₅₃	—	4	1	no	—
727	Q₈×C₅₃	—	8	1	no	—
728	Q₈×C₅₃	—	8	1	no	—
729	Q₈×C₅₃	—	8	1	no	—
730	Q₈×C₅₃	—	8	1	no	—
731	Q₈×C₅₃	—	8	1	no	—
732	D₄×C₅₃	—	2	1	no	—
733	D₄×C₅₃	—	2	1	no	—
734	D₄×C₅₃	—	2	1	no	—
735	D₄×C₅₃	—	2	1	no	—
736	D₄×C₅₃	—	2	1	no	—
737	D₄×C₅₃	—	4	1	no	—
738	D₄×C₅₃	—	4	1	no	—
739	D₄×C₅₃	—	4	1	no	—
740	D₄×C₅₃	—	4	2	no	—
741	D₄×C₅₃	—	4	2	no	—
742	D₄×C₅₃	—	4	2	no	—
743	D₄×C₅₃	—	4	2	no	—
744	D₄×C₅₃	—	8	1	no	—
745	D₄×C₅₃	—	8	1	no	—
746	D₄×C₅₃	—	8	1	no	—
747	D₄×C₅₃	—	8	1	no	—
748	D₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
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	—	4	1	no	—
769	C₂×C₄×C₅₃	—	4	1	no	—
770	C₂×C₄×C₅₃	—	4	2	no	—
771	C₂×C₄×C₅₃	—	4	2	no	—
772	C₂×C₄×C₅₃	—	4	2	no	—
773	C₂×C₄×C₅₃	—	8	1	no	—
774	C₂×C₄×C₅₃	—	8	1	no	—
775	C₂×C₄×C₅₃	—	8	1	no	—
776	C₂×C₄×C₅₃	—	8	1	no	—
777	C₂×C₄×C₅₃	—	8	1	no	—
778	C₂×C₄×C₅₃	—	8	1	no	—
779	C₂×C₄×C₅₃	—	8	1	no	—
780	C₂×C₄×C₅₃	—	8	1	no	—
781	C₂×C₄×C₅₃	—	8	1	no	—
782	C₂×C₄×C₅₃	—	8	1	no	—
783	C₂×C₄×C₅₃	—	8	1	no	—
784	C₂×C₄×C₅₃	—	8	1	no	—
785	C₂×C₄×C₅₃	—	8	1	no	—
786	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
798	C₈×C₅₃	—	2	1	no	—
799	C₈×C₅₃	—	2	1	no	—
800	C₈×C₅₃	—	2	1	no	—
801	C₈×C₅₃	—	2	1	no	—
802	C₈×C₅₃	—	2	1	no	—
803	C₈×C₅₃	—	2	1	no	—
804	C₈×C₅₃	—	2	1	no	—
805	C₈×C₅₃	—	2	1	no	—
806	#62080	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
807	C₂²×C₅₃	—	2	1	no	—
808	C₂²×C₅₃	—	2	1	no	—
809	C₂²×C₅₃	—	2	1	no	—
810	C₂²×C₅₃	—	2	1	no	—
811	C₂²×C₅₃	—	2	1	no	—
812	C₂²×C₅₃	—	2	1	no	—
813	C₂²×C₅₃	—	2	1	no	—
814	C₂²×C₅₃	—	2	1	no	—
815	C₂²×C₅₃	—	2	1	no	—
816	C₂²×C₅₃	—	2	2	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	—	16	2	no	—
826	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
827	C₄×C₅₃	—	2	1	no	—
828	C₄×C₅₃	—	2	1	no	—
829	C₄×C₅₃	—	2	1	no	—
830	C₄×C₅₃	—	2	1	no	—
831	C₄×C₅₃	—	2	1	no	—
832	C₄×C₅₃	—	2	1	no	—
833	C₄×C₅₃	—	2	1	no	—
834	C₄×C₅₃	—	2	1	no	—
835	C₄×C₅₃	—	2	1	no	—
836	C₄×C₅₃	—	2	1	no	—
837	C₄×C₅₃	—	2	1	no	—
838	C₄×C₅₃	—	4	1	no	—
839	C₄×C₅₃	—	4	1	no	—
840	C₄×C₅₃	—	4	1	no	—
841	C₄×C₅₃	—	4	1	no	—
842	C₄×C₅₃	—	4	1	no	—
843	C₄×C₅₃	—	4	1	no	—
844	C₄×C₅₃	—	4	1	no	—
845	C₄×C₅₃	—	4	1	no	—
846	C₄×C₅₃	—	4	1	no	—
847	C₄×C₅₃	—	4	1	no	—
848	C₄×C₅₃	—	4	1	no	—
849	C₄×C₅₃	—	4	1	no	—
850	C₄×C₅₃	—	4	1	no	—
851	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
852	C₄×C₅₃	#585	1	1	yes	characteristic
853	#3552	C₂×C₅₃	1	1	yes	characteristic, complemented
854	#3521	C₂×C₅₃	1	1	yes	characteristic, complemented
855	#3402	C₂×C₅₃	1	1	yes	characteristic, complemented
856	#3398	C₂×C₅₃	1	1	yes	characteristic, complemented
857	#3376	C₂×C₅₃	1	1	yes	characteristic, complemented
858	#3372	C₂×C₅₃	1	1	yes	characteristic, complemented
859	#3328	C₂×C₅₃	1	1	yes	characteristic, complemented
860	#3326	C₂×C₅₃	1	1	yes	characteristic, complemented
861	#3320	C₂×C₅₃	1	1	yes	characteristic, complemented
862	#3315	C₂×C₅₃	1	1	yes	characteristic, complemented
863	#3313	C₂×C₅₃	1	1	yes	characteristic, complemented
864	#3312	C₂×C₅₃	1	1	yes	characteristic, complemented
865	#3276	C₂×C₅₃	1	1	yes	characteristic, complemented
866	#3275	C₂×C₅₃	1	1	yes	characteristic, complemented
867	#3269	C₂×C₅₃	1	1	yes	characteristic, complemented
868	#3267	C₂×C₅₃	1	1	yes	characteristic, complemented
869	#3266	C₂×C₅₃	1	1	yes	characteristic, complemented
870	#3266	C₂×C₅₃	1	1	yes	characteristic, complemented
871	#3261	C₂×C₅₃	1	1	yes	characteristic, complemented
872	#3258	C₂×C₅₃	1	1	yes	characteristic, complemented
873	#3256	C₂×C₅₃	1	1	yes	characteristic, complemented
874	#3225	C₂×C₅₃	1	1	yes	characteristic, complemented
875	#3223	C₂×C₅₃	1	1	yes	characteristic, complemented
876	#3218	C₂×C₅₃	1	1	yes	characteristic, complemented
877	#3123	C₂×C₅₃	1	1	yes	characteristic, complemented
878	#3120	C₂×C₅₃	1	1	yes	characteristic, complemented
879	#3111	C₂×C₅₃	1	1	yes	characteristic, complemented
880	#3046	C₂×C₅₃	1	1	yes	characteristic, complemented
881	#3042	C₂×C₅₃	1	1	yes	characteristic, complemented
882	#3039	C₂×C₅₃	1	1	yes	characteristic, complemented
883	#2995	C₂×C₅₃	1	1	yes	characteristic, complemented
884	C₂×C₅₃	—	4	1	no	—
885	C₂×C₅₃	—	4	1	no	—
886	C₂×C₅₃	—	4	1	no	—
887	C₂×C₅₃	—	4	2	no	—
888	C₂×C₅₃	—	8	1	no	—
889	C₂×C₅₃	—	8	1	no	—
890	C₂×C₅₃	#3488	1	1	yes	characteristic
891	C₂×C₅₃	#3586	1	1	yes	characteristic
892	C₂×C₅₃	#3586	1	1	yes	characteristic
893	C₂×#137	C₂²×C₅₃	1	1	yes	characteristic
894	C₂×#137	C₂²×C₅₃	1	1	yes	characteristic
895	C₂×#137	C₂²×C₅₃	1	1	yes	characteristic
896	C₂×AGL(1,ℤ/8)	C₂²×C₅₃	1	1	yes	characteristic
897	C₂×#135	C₂²×C₅₃	1	1	yes	characteristic
898	C₂²×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
899	#563	—	2	1	no	—
900	#563	—	2	1	no	—
901	#557	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	#556	C₂²×C₅₃	1	1	yes	characteristic
903	#556	C₂²×C₅₃	1	1	yes	characteristic
904	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
905	#554	—	2	1	no	—
906	#554	C₂²×C₅₃	1	1	yes	characteristic
907	#553	—	2	1	no	—
908	#553	—	2	1	no	—
909	#553	C₂²×C₅₃	1	1	yes	characteristic
910	#552	—	2	1	no	—
911	#552	C₂²×C₅₃	1	1	yes	characteristic
912	#551	—	2	1	no	—
913	#551	—	2	1	no	—
914	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic
915	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic
916	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
917	#548	C₂²×C₅₃	1	1	yes	characteristic
918	#548	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#547	C₂²×C₅₃	1	1	yes	characteristic
920	#547	C₂²×C₅₃	1	1	yes	characteristic
921	#546	C₂²×C₅₃	1	1	yes	characteristic
922	#546	C₂²×C₅₃	1	1	yes	characteristic
923	#544	—	2	1	no	—
924	#542	—	2	1	no	—
925	#542	C₂²×C₅₃	1	1	yes	characteristic
926	#541	C₂²×C₅₃	1	1	yes	characteristic
927	#541	C₂²×C₅₃	1	1	yes	characteristic
928	#541	C₂²×C₅₃	1	1	yes	characteristic, complemented
929	#539	—	2	1	no	—
930	#539	—	2	1	no	—
931	#539	—	2	1	no	—
932	#538	—	2	1	no	—
933	#536	C₂²×C₅₃	1	1	yes	characteristic
934	#536	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	C₂×C₄⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#529	—	2	1	no	—
937	#529	C₂²×C₅₃	1	1	yes	characteristic
938	#529	C₂²×C₅₃	1	1	yes	characteristic
939	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
940	C₂×#126	—	2	1	no	—
941	#520	C₂²×C₅₃	1	1	yes	characteristic
942	#518	C₂²×C₅₃	1	1	yes	characteristic
943	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic
944	#497	C₂²×C₅₃	1	1	yes	characteristic
945	#497	C₂²×C₅₃	1	1	yes	characteristic
946	#497	C₂²×C₅₃	1	1	yes	characteristic
947	#497	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	#495	C₂²×C₅₃	1	1	yes	characteristic
949	#494	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#491	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#491	C₂²×C₅₃	1	1	yes	characteristic, complemented
952	#491	C₂²×C₅₃	1	1	yes	characteristic, complemented
953	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
954	#488	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#487	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#485	C₂²×C₅₃	1	1	yes	characteristic
957	#485	C₂²×C₅₃	1	1	yes	characteristic
958	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#483	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
964	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
967	#478	C₂²×C₅₃	1	1	yes	characteristic
968	#478	C₂²×C₅₃	1	1	yes	characteristic
969	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
970	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
971	#475	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#470	C₂²×C₅₃	1	1	yes	characteristic
973	#470	C₂²×C₅₃	1	1	yes	characteristic
974	#470	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#470	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#469	C₂²×C₅₃	1	1	yes	characteristic
977	#468	C₂²×C₅₃	1	1	yes	characteristic
978	#468	C₂²×C₅₃	1	1	yes	characteristic
979	#468	C₂²×C₅₃	1	1	yes	characteristic, complemented
980	#467	C₂²×C₅₃	1	1	yes	characteristic
981	#467	C₂²×C₅₃	1	1	yes	characteristic
982	#467	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	#465	C₂²×C₅₃	1	1	yes	characteristic
984	#464	C₂²×C₅₃	1	1	yes	characteristic
985	#464	C₂²×C₅₃	1	1	yes	characteristic
986	#464	C₂²×C₅₃	1	1	yes	characteristic
987	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
988	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
989	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
990	#463	C₂²×C₅₃	1	1	yes	characteristic
991	#463	C₂²×C₅₃	1	1	yes	characteristic
992	#463	C₂²×C₅₃	1	1	yes	characteristic
993	#463	C₂²×C₅₃	1	1	yes	characteristic
994	#463	C₂²×C₅₃	1	1	yes	characteristic
995	#463	C₂²×C₅₃	1	1	yes	characteristic
996	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
998	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
999	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1000	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1001	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1002	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1003	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1004	#462	C₂²×C₅₃	1	1	yes	characteristic, complemented
1005	#461	C₂²×C₅₃	1	1	yes	characteristic
1006	#461	C₂²×C₅₃	1	1	yes	characteristic
1007	#461	C₂²×C₅₃	1	1	yes	characteristic
1008	#461	C₂²×C₅₃	1	1	yes	characteristic
1009	#461	C₂²×C₅₃	1	1	yes	characteristic
1010	#461	C₂²×C₅₃	1	1	yes	characteristic
1011	#461	C₂²×C₅₃	1	1	yes	characteristic
1012	#461	C₂²×C₅₃	1	1	yes	characteristic
1013	#461	C₂²×C₅₃	1	1	yes	characteristic
1014	#452	C₂²×C₅₃	1	1	yes	characteristic
1015	#452	C₂²×C₅₃	1	1	yes	characteristic
1016	#452	C₂²×C₅₃	1	1	yes	characteristic
1017	#452	C₂²×C₅₃	1	1	yes	characteristic
1018	#452	C₂²×C₅₃	1	1	yes	characteristic
1019	#452	C₂²×C₅₃	1	1	yes	characteristic, complemented
1020	#451	C₂²×C₅₃	1	1	yes	characteristic
1021	#451	C₂²×C₅₃	1	1	yes	characteristic
1022	#451	C₂²×C₅₃	1	1	yes	characteristic, complemented
1023	#451	C₂²×C₅₃	1	1	yes	characteristic, complemented
1024	#451	C₂²×C₅₃	1	1	yes	characteristic, complemented
1025	#450	C₂²×C₅₃	1	1	yes	characteristic
1026	#450	C₂²×C₅₃	1	1	yes	characteristic
1027	#449	C₂²×C₅₃	1	1	yes	characteristic
1028	#449	C₂²×C₅₃	1	1	yes	characteristic
1029	#448	C₂²×C₅₃	1	1	yes	characteristic
1030	#448	C₂²×C₅₃	1	1	yes	characteristic
1031	#448	C₂²×C₅₃	1	1	yes	characteristic
1032	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1033	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1034	#442	C₂²×C₅₃	1	1	yes	characteristic
1035	#441	C₂²×C₅₃	1	1	yes	characteristic, complemented
1036	#441	C₂²×C₅₃	1	1	yes	characteristic, complemented
1037	#440	C₂²×C₅₃	1	1	yes	characteristic
1038	#440	C₂²×C₅₃	1	1	yes	characteristic
1039	#440	C₂²×C₅₃	1	1	yes	characteristic
1040	#440	C₂²×C₅₃	1	1	yes	characteristic
1041	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1042	C₄×Q₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1043	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1044	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1045	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1046	#436	C₂²×C₅₃	1	1	yes	characteristic
1047	#436	C₂²×C₅₃	1	1	yes	characteristic, complemented
1048	#435	C₂²×C₅₃	1	1	yes	characteristic
1049	#435	C₂²×C₅₃	1	1	yes	characteristic
1050	#435	C₂²×C₅₃	1	1	yes	characteristic
1051	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1052	#433	C₂²×C₅₃	1	1	yes	characteristic
1053	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1054	#432	C₂²×C₅₃	1	1	yes	characteristic, complemented
1055	#424	C₂²×C₅₃	1	1	yes	characteristic
1056	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1057	#423	C₂²×C₅₃	1	1	yes	characteristic, complemented
1058	#419	C₂²×C₅₃	1	1	yes	characteristic
1059	#419	C₂²×C₅₃	1	1	yes	characteristic, complemented
1060	#419	C₂²×C₅₃	1	1	yes	characteristic, complemented
1061	#417	C₂²×C₅₃	1	1	yes	characteristic, complemented
1062	#416	C₂²×C₅₃	1	1	yes	characteristic
1063	C₂×#103	C₂²×C₅₃	1	1	yes	characteristic, complemented
1064	C₅₃	#62080	1	1	yes	characteristic, direct product factor, Sylow
1065	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1066	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1067	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1068	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1069	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1070	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1071	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1072	C₂²×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1073	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1074	#137	—	4	2	no	—
1075	#137	—	4	2	no	—
1076	#137	—	4	2	no	—
1077	AGL(1,ℤ/8)	—	4	2	no	—
1078	#135	—	4	2	no	—
1079	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1080	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1081	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1082	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1083	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1084	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1085	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1086	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1087	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1088	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1089	C₂×SD₁₆	—	4	2	no	—
1090	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1092	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1093	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1094	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1095	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1097	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1100	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1101	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1102	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1103	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1104	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1105	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1106	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1107	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1108	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1109	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1110	C₄⋊Q₈	—	2	1	no	—
1111	C₄⋊Q₈	—	2	1	no	—
1112	C₄⋊Q₈	—	2	1	no	—
1113	C₄⋊Q₈	—	2	1	no	—
1114	C₄⋊Q₈	—	2	1	no	—
1115	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1116	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1117	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1118	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1119	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1120	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1121	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1122	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1123	#126	—	2	1	no	—
1124	#126	—	2	1	no	—
1125	#126	—	2	1	no	—
1126	#126	—	2	1	no	—
1127	#126	—	2	1	no	—
1128	#126	—	2	1	no	—
1129	#126	—	2	1	no	—
1130	#126	—	2	1	no	—
1131	#126	—	2	1	no	—
1132	#126	—	2	1	no	—
1133	#126	—	2	1	no	—
1134	#126	—	2	1	no	—
1135	#126	—	2	1	no	—
1136	#126	—	2	1	no	—
1137	#126	—	2	1	no	—
1138	#126	—	2	1	no	—
1139	#126	—	2	1	no	—
1140	#126	D₄×C₅₃	1	1	yes	characteristic
1141	#126	D₄×C₅₃	1	1	yes	characteristic
1142	#125	—	2	1	no	—
1143	#125	—	2	1	no	—
1144	#125	—	2	1	no	—
1145	#125	—	2	1	no	—
1146	#125	—	2	1	no	—
1147	#125	—	2	1	no	—
1148	#125	—	2	1	no	—
1149	#125	—	2	1	no	—
1150	#125	—	2	1	no	—
1151	#125	—	2	1	no	—
1152	#125	D₄×C₅₃	1	1	yes	characteristic
1153	#125	C₂³×C₅₃	1	1	yes	characteristic
1154	#125	C₂³×C₅₃	1	1	yes	characteristic
1155	#125	C₂³×C₅₃	1	1	yes	characteristic
1156	#124	—	2	1	no	—
1157	#124	—	2	1	no	—
1158	#124	—	2	1	no	—
1159	#124	—	2	1	no	—
1160	#124	D₄×C₅₃	1	1	yes	characteristic
1161	#124	C₂³×C₅₃	1	1	yes	characteristic
1162	#124	C₂³×C₅₃	1	1	yes	characteristic
1163	#124	C₂³×C₅₃	1	1	yes	characteristic
1164	#124	C₂³×C₅₃	1	1	yes	characteristic
1165	#124	C₂³×C₅₃	1	1	yes	characteristic
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	—	2	1	no	—
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	2	1	no	—
1181	#123	D₄×C₅₃	1	1	yes	characteristic
1182	#123	D₄×C₅₃	1	1	yes	characteristic
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	1	no	—
1194	C₂²⋊Q₈	—	2	1	no	—
1195	C₂²⋊Q₈	—	2	1	no	—
1196	C₂²⋊Q₈	—	2	1	no	—
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	2	1	no	—
1199	C₂²⋊Q₈	—	2	1	no	—
1200	C₂²⋊Q₈	—	2	1	no	—
1201	C₂²⋊Q₈	D₄×C₅₃	1	1	yes	characteristic
1202	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1203	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1204	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1205	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1206	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1209	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	D₄×C₅₃	1	1	yes	characteristic
1219	#121	C₂³×C₅₃	1	1	yes	characteristic
1220	#121	C₂³×C₅₃	1	1	yes	characteristic
1221	#121	C₂³×C₅₃	1	1	yes	characteristic
1222	#120	—	2	1	no	—
1223	#120	—	2	1	no	—
1224	C₄×Q₈	—	2	1	no	—
1225	C₄×Q₈	—	2	1	no	—
1226	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1227	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1228	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1229	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1230	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1231	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1232	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1235	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1236	C₄×D₄	—	2	1	no	—
1237	C₄×D₄	—	2	1	no	—
1238	C₄×D₄	—	2	1	no	—
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	2	1	no	—
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	2	1	no	—
1244	C₄×D₄	—	2	1	no	—
1245	C₄×D₄	—	2	1	no	—
1246	C₄×D₄	—	2	1	no	—
1247	C₄×D₄	—	2	1	no	—
1248	C₄×D₄	—	2	1	no	—
1249	C₄×D₄	—	2	1	no	—
1250	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1252	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1253	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1255	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1256	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1257	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1258	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1259	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1260	#117	—	2	1	no	—
1261	#117	—	2	1	no	—
1262	#117	—	2	1	no	—
1263	#117	—	2	1	no	—
1264	#117	—	2	1	no	—
1265	#117	—	2	1	no	—
1266	#117	—	2	1	no	—
1267	#117	C₂³×C₅₃	1	1	yes	characteristic
1268	#117	C₂³×C₅₃	1	1	yes	characteristic
1269	#117	C₂³×C₅₃	1	1	yes	characteristic
1270	#117	C₂³×C₅₃	1	1	yes	characteristic
1271	C₂×C₄⋊C₄	—	2	1	no	—
1272	C₂×C₄⋊C₄	—	2	1	no	—
1273	C₂×C₄⋊C₄	—	2	1	no	—
1274	C₂×C₄⋊C₄	—	2	1	no	—
1275	C₂×C₄⋊C₄	—	2	1	no	—
1276	C₂×C₄⋊C₄	—	2	1	no	—
1277	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1278	C₂×C₂²⋊C₄	—	2	1	no	—
1279	C₂×C₂²⋊C₄	—	2	1	no	—
1280	C₂×C₂²⋊C₄	—	2	1	no	—
1281	C₂×C₂²⋊C₄	—	2	1	no	—
1282	C₂×C₄²	—	2	1	no	—
1283	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1284	#107	C₂³×C₅₃	1	1	yes	characteristic
1285	#107	C₂³×C₅₃	1	1	yes	characteristic
1286	#107	C₂³×C₅₃	1	1	yes	characteristic
1287	#107	C₂³×C₅₃	1	1	yes	characteristic
1288	#106	C₂³×C₅₃	1	1	yes	characteristic
1289	#106	C₂³×C₅₃	1	1	yes	characteristic
1290	#106	C₂³×C₅₃	1	1	yes	characteristic
1291	#106	C₂³×C₅₃	1	1	yes	characteristic
1292	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1293	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1294	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1295	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1296	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1297	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1298	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1299	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1300	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1301	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1302	#103	C₂³×C₅₃	1	1	yes	characteristic
1303	#103	C₂³×C₅₃	1	1	yes	characteristic
1304	#103	C₂³×C₅₃	1	1	yes	characteristic
1305	#103	C₂³×C₅₃	1	1	yes	characteristic
1306	#103	C₂³×C₅₃	1	1	yes	characteristic
1307	#103	C₂³×C₅₃	1	1	yes	characteristic
1308	#103	C₂³×C₅₃	1	1	yes	characteristic
1309	#103	C₂³×C₅₃	1	1	yes	characteristic
1310	#103	C₂³×C₅₃	1	1	yes	characteristic
1311	#103	C₂³×C₅₃	1	1	yes	characteristic
1312	#103	C₂³×C₅₃	1	1	yes	characteristic
1313	#103	C₂³×C₅₃	1	1	yes	characteristic
1314	#103	C₂³×C₅₃	1	1	yes	characteristic
1315	#103	C₂³×C₅₃	1	1	yes	characteristic
1316	#103	C₂³×C₅₃	1	1	yes	characteristic
1317	#103	C₂³×C₅₃	1	1	yes	characteristic
1318	#103	C₂³×C₅₃	1	1	yes	characteristic
1319	#103	C₂³×C₅₃	1	1	yes	characteristic
1320	#103	C₂³×C₅₃	1	1	yes	characteristic
1321	#103	C₂³×C₅₃	1	1	yes	characteristic
1322	#103	C₂³×C₅₃	1	1	yes	characteristic
1323	#103	C₂³×C₅₃	1	1	yes	characteristic
1324	#103	C₂³×C₅₃	1	1	yes	characteristic
1325	#103	C₂³×C₅₃	1	1	yes	characteristic
1326	#102	C₂³×C₅₃	1	1	yes	characteristic
1327	#102	C₂³×C₅₃	1	1	yes	characteristic
1328	#102	C₂³×C₅₃	1	1	yes	characteristic
1329	#102	C₂³×C₅₃	1	1	yes	characteristic
1330	#102	C₂³×C₅₃	1	1	yes	characteristic
1331	#102	C₂³×C₅₃	1	1	yes	characteristic
1332	#102	C₂³×C₅₃	1	1	yes	characteristic
1333	#102	C₂³×C₅₃	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1335	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1336	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1337	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1338	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1340	#97	C₂³×C₅₃	1	1	yes	characteristic
1341	#97	C₂³×C₅₃	1	1	yes	characteristic
1342	#97	C₂³×C₅₃	1	1	yes	characteristic
1343	#97	C₂³×C₅₃	1	1	yes	characteristic
1344	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1345	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1346	C₂⁴	—	2	1	no	—
1347	#41	—	2	2	no	—
1348	#41	—	2	2	no	—
1349	#41	—	4	1	no	—
1350	#41	—	4	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	4	1	no	—
1354	#41	—	4	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	1	no	—
1358	C₂×Q₈	—	2	1	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	—	4	1	no	—
1362	C₂×Q₈	—	4	1	no	—
1363	C₂×Q₈	—	4	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×Q₈	—	4	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	C₂×D₄×C₅₃	1	1	yes	characteristic
1369	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1370	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1371	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1372	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1373	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1374	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1375	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1376	C₂×D₄	—	2	2	no	—
1377	C₂×D₄	—	2	1	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	4	1	no	—
1386	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1387	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1388	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1389	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1390	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1391	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1409	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1413	Q₁₆	—	4	1	no	—
1414	Q₁₆	—	4	1	no	—
1415	Q₁₆	—	4	1	no	—
1416	Q₁₆	—	4	1	no	—
1417	Q₁₆	—	4	1	no	—
1418	Q₁₆	—	4	1	no	—
1419	Q₁₆	—	4	1	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	4	1	no	—
1422	Q₁₆	—	4	1	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	2	2	no	—
1426	SD₁₆	—	2	2	no	—
1427	SD₁₆	—	2	2	no	—
1428	SD₁₆	—	4	1	no	—
1429	SD₁₆	—	4	1	no	—
1430	SD₁₆	—	4	1	no	—
1431	SD₁₆	—	4	1	no	—
1432	SD₁₆	—	4	1	no	—
1433	SD₁₆	—	4	1	no	—
1434	SD₁₆	—	4	1	no	—
1435	D₈	—	2	2	no	—
1436	D₈	—	4	1	no	—
1437	M₁₆	—	4	1	no	—
1438	M₁₆	—	4	1	no	—
1439	M₁₆	—	4	1	no	—
1440	M₁₆	—	4	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	—	4	1	no	—
1443	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1444	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1445	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1446	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1447	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1448	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1449	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1450	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1500	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1501	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1502	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1503	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1504	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1505	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1506	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	2	1	no	—
1559	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1560	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1564	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	4	2	no	—
1569	C₂³	—	8	1	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1572	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1573	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1574	Q₈	—	2	1	no	—
1575	Q₈	—	2	1	no	—
1576	Q₈	—	2	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	4	1	no	—
1589	Q₈	—	8	1	no	—
1590	Q₈	—	8	1	no	—
1591	Q₈	—	8	1	no	—
1592	Q₈	—	8	1	no	—
1593	Q₈	—	8	1	no	—
1594	D₄	—	2	1	no	—
1595	D₄	—	2	1	no	—
1596	D₄	—	2	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	4	1	no	—
1600	D₄	—	4	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	2	no	—
1603	D₄	—	4	2	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	4	2	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	H(5,𝔽₂)×C₅₃	1	2	yes	—
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	—	4	1	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	2	no	—
1633	C₂×C₄	—	4	2	no	—
1634	C₂×C₄	—	4	2	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	1	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	—	8	1	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1649	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1650	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1651	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1652	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1653	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1654	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1655	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1656	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1657	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1658	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1659	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	—	2	1	no	—
1666	C₈	—	2	1	no	—
1667	C₈	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	2	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	1	no	—
1675	C₂²	—	2	1	no	—
1676	C₂²	—	2	1	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	4	1	no	—
1679	C₂²	—	4	1	no	—
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	16	2	no	—
1687	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	4	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	C₂×H(5,𝔽₂)×C₅₃	1	1	yes	characteristic
1713	C₄	C₅₃×#585	1	1	yes	characteristic
1714	C₂	—	4	1	no	—
1715	C₂	—	4	1	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	2	no	—
1718	C₂	—	8	1	no	—
1719	C₂	—	8	1	no	—
1720	C₂	C₅₃×#3488	1	1	yes	characteristic
1721	C₂	C₅₃×#3586	1	1	yes	characteristic
1722	C₂	C₅₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅₃ ◁ C₅₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₃×#3552	C₂	semidirect
2. C₅₃×#3521	C₂	semidirect
3. C₅₃×#3402	C₂	semidirect
4. C₅₃×#3398	C₂	semidirect
5. C₅₃×#3376	C₂	semidirect
6. C₅₃×#3372	C₂	semidirect
7. C₅₃×#3328	C₂	semidirect
8. C₅₃×#3326	C₂	semidirect
9. C₅₃×#3320	C₂	semidirect
10. C₅₃×#3315	C₂	semidirect
11. C₅₃×#3313	C₂	semidirect
12. C₅₃×#3312	C₂	semidirect
13. C₅₃×#3276	C₂	semidirect
14. C₅₃×#3275	C₂	semidirect
15. C₅₃×#3269	C₂	semidirect
16. C₅₃×#3267	C₂	semidirect
17. C₅₃×#3266	C₂	semidirect
18. C₅₃×#3266	C₂	semidirect
19. C₅₃×#3261	C₂	semidirect
20. C₅₃×#3258	C₂	semidirect
21. C₅₃×#3256	C₂	semidirect
22. C₅₃×#3225	C₂	semidirect
23. C₅₃×#3223	C₂	semidirect
24. C₅₃×#3218	C₂	semidirect
25. C₅₃×#3123	C₂	semidirect
26. C₅₃×#3120	C₂	semidirect
27. C₅₃×#3111	C₂	semidirect
28. C₅₃×#3046	C₂	semidirect
29. C₅₃×#3042	C₂	semidirect
30. C₅₃×#3039	C₂	semidirect
31. C₅₃×#2995	C₂	semidirect
40. C₅₃×#557	C₂²	semidirect
43. C₅₃×#556	C₂²	semidirect
55. D₄×Q₈×C₅₃	C₂²	semidirect
57. C₅₃×#548	C₂²	semidirect
67. C₅₃×#541	C₂²	semidirect
73. C₅₃×#536	C₂²	semidirect
74. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
78. C₅₃×#529	C₂²	semidirect
86. C₅₃×#497	C₂²	semidirect
88. C₅₃×#494	C₂²	semidirect
89. C₅₃×#491	C₂²	semidirect
90. C₅₃×#491	C₂²	semidirect
91. C₅₃×#491	C₂²	semidirect
92. C₅₃×#489	C₂²	semidirect
93. C₅₃×#488	C₂²	semidirect
94. C₅₃×#487	C₂²	semidirect
97. C₅₃×#485	C₂²	semidirect
98. C₅₃×#484	C₂²	semidirect
99. C₅₃×#483	C₂²	semidirect
100. C₅₃×#482	C₂²	semidirect
101. C₅₃×#479	C₂²	semidirect
102. C₅₃×#479	C₂²	semidirect
103. C₅₃×#479	C₂²	semidirect
104. C₅₃×#479	C₂²	semidirect
105. C₅₃×#479	C₂²	semidirect
108. C₅₃×#478	C₂²	semidirect
109. C₅₃×#477	C₂²	semidirect
110. C₅₃×#475	C₂²	semidirect
113. C₅₃×#470	C₂²	semidirect
114. C₅₃×#470	C₂²	semidirect
118. C₅₃×#468	C₂²	semidirect
121. C₅₃×#467	C₂²	semidirect
126. C₅₃×#464	C₂²	semidirect
127. C₅₃×#464	C₂²	semidirect
128. C₅₃×#464	C₂²	semidirect
135. C₅₃×#462	C₂²	semidirect
136. C₅₃×#462	C₂²	semidirect
137. C₅₃×#462	C₂²	semidirect
138. C₅₃×#462	C₂²	semidirect
139. C₅₃×#462	C₂²	semidirect
140. C₅₃×#462	C₂²	semidirect
141. C₅₃×#462	C₂²	semidirect
142. C₅₃×#462	C₂²	semidirect
143. C₅₃×#462	C₂²	semidirect
158. C₅₃×#452	C₂²	semidirect
161. C₅₃×#451	C₂²	semidirect
162. C₅₃×#451	C₂²	semidirect
163. C₅₃×#451	C₂²	semidirect
171. C₅₃×#446	C₂²	semidirect
172. C₅₃×#446	C₂²	semidirect
174. C₅₃×#441	C₂²	semidirect
175. C₅₃×#441	C₂²	semidirect
180. C₅₃×#440	C₂²	semidirect
181. C₄×Q₁₆×C₅₃	C₂²	semidirect
186. C₅₃×#436	C₂²	semidirect
190. C₅₃×#435	C₂²	semidirect
192. C₅₃×#433	C₂²	semidirect
193. C₅₃×#432	C₂²	semidirect
195. C₅₃×#424	C₂²	semidirect
196. C₅₃×#423	C₂²	semidirect
198. C₅₃×#419	C₂²	semidirect
199. C₅₃×#419	C₂²	semidirect
200. C₅₃×#417	C₂²	semidirect
202. C₂×#103×C₅₃	C₂²	semidirect
806. #62080	C₅₃	direct (N × H)
853. #3552	C₂×C₅₃	semidirect
854. #3521	C₂×C₅₃	semidirect
855. #3402	C₂×C₅₃	semidirect
856. #3398	C₂×C₅₃	semidirect
857. #3376	C₂×C₅₃	semidirect
858. #3372	C₂×C₅₃	semidirect
859. #3328	C₂×C₅₃	semidirect
860. #3326	C₂×C₅₃	semidirect
861. #3320	C₂×C₅₃	semidirect
862. #3315	C₂×C₅₃	semidirect
863. #3313	C₂×C₅₃	semidirect
864. #3312	C₂×C₅₃	semidirect
865. #3276	C₂×C₅₃	semidirect
866. #3275	C₂×C₅₃	semidirect
867. #3269	C₂×C₅₃	semidirect
868. #3267	C₂×C₅₃	semidirect
869. #3266	C₂×C₅₃	semidirect
870. #3266	C₂×C₅₃	semidirect
871. #3261	C₂×C₅₃	semidirect
872. #3258	C₂×C₅₃	semidirect
873. #3256	C₂×C₅₃	semidirect
874. #3225	C₂×C₅₃	semidirect
875. #3223	C₂×C₅₃	semidirect
876. #3218	C₂×C₅₃	semidirect
877. #3123	C₂×C₅₃	semidirect
878. #3120	C₂×C₅₃	semidirect
879. #3111	C₂×C₅₃	semidirect
880. #3046	C₂×C₅₃	semidirect
881. #3042	C₂×C₅₃	semidirect
882. #3039	C₂×C₅₃	semidirect
883. #2995	C₂×C₅₃	semidirect
901. #557	C₂²×C₅₃	semidirect
904. #556	C₂²×C₅₃	semidirect
916. D₄×Q₈	C₂²×C₅₃	semidirect
918. #548	C₂²×C₅₃	semidirect
928. #541	C₂²×C₅₃	semidirect
934. #536	C₂²×C₅₃	semidirect
935. C₂×C₄⋊Q₈	C₂²×C₅₃	semidirect
939. #529	C₂²×C₅₃	semidirect
947. #497	C₂²×C₅₃	semidirect
949. #494	C₂²×C₅₃	semidirect
950. #491	C₂²×C₅₃	semidirect
951. #491	C₂²×C₅₃	semidirect
952. #491	C₂²×C₅₃	semidirect
953. #489	C₂²×C₅₃	semidirect
954. #488	C₂²×C₅₃	semidirect
955. #487	C₂²×C₅₃	semidirect
958. #485	C₂²×C₅₃	semidirect
959. #484	C₂²×C₅₃	semidirect
960. #483	C₂²×C₅₃	semidirect
961. #482	C₂²×C₅₃	semidirect
962. #479	C₂²×C₅₃	semidirect
963. #479	C₂²×C₅₃	semidirect
964. #479	C₂²×C₅₃	semidirect
965. #479	C₂²×C₅₃	semidirect
966. #479	C₂²×C₅₃	semidirect
969. #478	C₂²×C₅₃	semidirect
970. #477	C₂²×C₅₃	semidirect
971. #475	C₂²×C₅₃	semidirect
974. #470	C₂²×C₅₃	semidirect
975. #470	C₂²×C₅₃	semidirect
979. #468	C₂²×C₅₃	semidirect
982. #467	C₂²×C₅₃	semidirect
987. #464	C₂²×C₅₃	semidirect
988. #464	C₂²×C₅₃	semidirect
989. #464	C₂²×C₅₃	semidirect
996. #462	C₂²×C₅₃	semidirect
997. #462	C₂²×C₅₃	semidirect
998. #462	C₂²×C₅₃	semidirect
999. #462	C₂²×C₅₃	semidirect
1000. #462	C₂²×C₅₃	semidirect
1001. #462	C₂²×C₅₃	semidirect
1002. #462	C₂²×C₅₃	semidirect
1003. #462	C₂²×C₅₃	semidirect
1004. #462	C₂²×C₅₃	semidirect
1019. #452	C₂²×C₅₃	semidirect
1022. #451	C₂²×C₅₃	semidirect
1023. #451	C₂²×C₅₃	semidirect
1024. #451	C₂²×C₅₃	semidirect
1032. #446	C₂²×C₅₃	semidirect
1033. #446	C₂²×C₅₃	semidirect
1035. #441	C₂²×C₅₃	semidirect
1036. #441	C₂²×C₅₃	semidirect
1041. #440	C₂²×C₅₃	semidirect
1042. C₄×Q₁₆	C₂²×C₅₃	semidirect
1047. #436	C₂²×C₅₃	semidirect
1051. #435	C₂²×C₅₃	semidirect
1053. #433	C₂²×C₅₃	semidirect
1054. #432	C₂²×C₅₃	semidirect
1056. #424	C₂²×C₅₃	semidirect
1057. #423	C₂²×C₅₃	semidirect
1059. #419	C₂²×C₅₃	semidirect
1060. #419	C₂²×C₅₃	semidirect
1061. #417	C₂²×C₅₃	semidirect
1063. C₂×#103	C₂²×C₅₃	semidirect
1064. C₅₃	#62080	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×#3552	2
C₅₃×#3521	2
C₅₃×#3402	2
C₅₃×#3398	2
C₅₃×#3376	2
C₅₃×#3372	2
C₅₃×#3328	2
C₅₃×#3326	2
C₅₃×#3320	2
C₅₃×#3315	2
C₅₃×#3313	2
C₅₃×#3312	2
C₅₃×#3276	2
C₅₃×#3275	2
C₅₃×#3269	2
C₅₃×#3267	2
C₅₃×#3266	2
C₅₃×#3261	2
C₅₃×#3258	2
C₅₃×#3256	2
C₅₃×#3225	2
C₅₃×#3223	2
C₅₃×#3218	2
C₅₃×#3123	2
C₅₃×#3120	2
C₅₃×#3111	2
C₅₃×#3046	2
C₅₃×#3042	2
C₅₃×#3039	2
C₅₃×#2995	2
#62080	53

Subgroups — C53×#62080 #27269592

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#62080 #27269592