Subgroups — C₅₃×#62155 #27269667

Order 13568.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3544	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅₃×#3513	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅₃×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₃×#3346	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#3343	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#3336	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅₃×#3334	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅₃×#3296	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
19	C₅₃×#3262	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3257	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅₃×#3243	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
28	C₅₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
29	C₅₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₅₃×#474	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅₃×#563	—	2	1	no	—
33	C₅₃×#563	—	2	1	no	—
34	C₅₃×#559	C₂²	1	1	yes	characteristic
35	Q₈²×C₅₃	C₂²	1	1	yes	characteristic, complemented
36	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
37	C₅₃×#554	C₂²	1	1	yes	characteristic
38	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
39	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
40	C₅₃×#553	—	2	1	no	—
41	C₅₃×#553	C₂²	1	1	yes	characteristic
42	C₅₃×#552	—	2	1	no	—
43	C₅₃×#552	C₂²	1	1	yes	characteristic
44	C₅₃×#552	C₂²	1	1	yes	characteristic
45	C₅₃×#552	C₂²	1	1	yes	characteristic, complemented
46	C₅₃×#551	—	2	1	no	—
47	C₅₃×#551	—	2	1	no	—
48	C₅₃×#547	—	2	1	no	—
49	C₅₃×#547	C₂²	1	1	yes	characteristic
50	C₅₃×#547	C₂²	1	1	yes	characteristic
51	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
52	C₅₃×#546	—	2	1	no	—
53	C₅₃×#546	C₂²	1	1	yes	characteristic
54	C₅₃×#546	C₂²	1	1	yes	characteristic
55	D₄²×C₅₃	C₂²	1	1	yes	characteristic
56	C₅₃×#544	—	2	1	no	—
57	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
58	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#542	—	2	1	no	—
60	C₅₃×#542	C₂²	1	1	yes	characteristic
61	C₅₃×#542	C₂²	1	1	yes	characteristic, complemented
62	C₅₃×#542	C₂²	1	1	yes	characteristic, complemented
63	C₅₃×#540	C₂²	1	1	yes	characteristic
64	C₅₃×#539	—	2	1	no	—
65	C₅₃×#538	—	2	1	no	—
66	C₅₃×#536	—	2	1	no	—
67	C₅₃×#536	—	2	1	no	—
68	C₂×C₄⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
69	C₅₃×#529	C₂²	1	1	yes	characteristic
70	C₅₃×#529	C₂²	1	1	yes	characteristic
71	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
72	C₅₃×#525	—	2	1	no	—
73	C₂×#123×C₅₃	—	2	1	no	—
74	C₅₃×#520	C₂²	1	1	yes	characteristic
75	C₅₃×#518	C₂²	1	1	yes	characteristic
76	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
77	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#501	C₂²	1	1	yes	characteristic, complemented
81	C₅₃×#500	C₂²	1	1	yes	characteristic, complemented
82	C₅₃×#499	C₂²	1	1	yes	characteristic, complemented
83	C₅₃×#490	C₂²	1	1	yes	characteristic
84	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₅₃×#489	C₂²	1	1	yes	characteristic, complemented
87	C₅₃×#488	C₂²	1	1	yes	characteristic, complemented
88	C₅₃×#486	C₂²	1	1	yes	characteristic
89	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
90	C₅₃×#485	C₂²	1	1	yes	characteristic, complemented
91	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
92	C₅₃×#484	C₂²	1	1	yes	characteristic, complemented
93	C₅₃×#483	C₂²	1	1	yes	characteristic, complemented
94	C₅₃×#483	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₅₃×#482	C₂²	1	1	yes	characteristic
97	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₅₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₅₃×#481	C₂²	1	1	yes	characteristic, complemented
101	C₅₃×#480	C₂²	1	1	yes	characteristic
102	C₅₃×#480	C₂²	1	1	yes	characteristic
103	C₅₃×#480	C₂²	1	1	yes	characteristic
104	C₅₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₅₃×#480	C₂²	1	1	yes	characteristic, complemented
106	C₅₃×#480	C₂²	1	1	yes	characteristic, complemented
107	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
108	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
109	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
110	C₅₃×#479	C₂²	1	1	yes	characteristic, complemented
111	C₅₃×#478	C₂²	1	1	yes	characteristic
112	C₅₃×#478	C₂²	1	1	yes	characteristic
113	C₅₃×#478	C₂²	1	1	yes	characteristic
114	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
115	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
116	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
118	C₅₃×#478	C₂²	1	1	yes	characteristic, complemented
119	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
121	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
122	C₅₃×#477	C₂²	1	1	yes	characteristic, complemented
123	C₅₃×#476	C₂²	1	1	yes	characteristic
124	C₅₃×#476	C₂²	1	1	yes	characteristic, complemented
125	C₅₃×#476	C₂²	1	1	yes	characteristic, complemented
126	C₅₃×#474	C₂²	1	1	yes	characteristic
127	C₅₃×#474	C₂²	1	1	yes	characteristic
128	C₅₃×#474	C₂²	1	1	yes	characteristic
129	C₅₃×#474	C₂²	1	1	yes	characteristic
130	C₅₃×#474	C₂²	1	1	yes	characteristic
131	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
132	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
133	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
134	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
135	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
136	C₅₃×#474	C₂²	1	1	yes	characteristic, complemented
137	C₅₃×#469	C₂²	1	1	yes	characteristic, complemented
138	C₅₃×#468	C₂²	1	1	yes	characteristic
139	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
140	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
141	C₅₃×#467	C₂²	1	1	yes	characteristic, complemented
142	C₅₃×#467	C₂²	1	1	yes	characteristic, complemented
143	C₅₃×#466	C₂²	1	1	yes	characteristic
144	C₅₃×#466	C₂²	1	1	yes	characteristic
145	C₅₃×#466	C₂²	1	1	yes	characteristic, complemented
146	C₅₃×#465	C₂²	1	1	yes	characteristic
147	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
148	C₅₃×#465	C₂²	1	1	yes	characteristic, complemented
149	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
150	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
151	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#463	C₂²	1	1	yes	characteristic
153	C₅₃×#463	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#463	C₂²	1	1	yes	characteristic, complemented
155	C₅₃×#463	C₂²	1	1	yes	characteristic, complemented
156	C₅₃×#463	C₂²	1	1	yes	characteristic, complemented
157	C₅₃×#460	C₂²	1	1	yes	characteristic
158	C₅₃×#459	C₂²	1	1	yes	characteristic
159	C₅₃×#452	C₂²	1	1	yes	characteristic
160	C₅₃×#450	C₂²	1	1	yes	characteristic
161	C₅₃×#450	C₂²	1	1	yes	characteristic
162	C₅₃×#449	C₂²	1	1	yes	characteristic
163	C₅₃×#447	C₂²	1	1	yes	characteristic
164	C₅₃×#447	C₂²	1	1	yes	characteristic
165	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#442	C₂²	1	1	yes	characteristic
168	C₅₃×#442	C₂²	1	1	yes	characteristic
169	C₅₃×#442	C₂²	1	1	yes	characteristic, complemented
170	C₅₃×#440	C₂²	1	1	yes	characteristic
171	C₅₃×#440	C₂²	1	1	yes	characteristic
172	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
174	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×Q₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
176	C₄×SD₁₆×C₅₃	C₂²	1	1	yes	characteristic
177	C₄×D₈×C₅₃	C₂²	1	1	yes	characteristic
178	C₄×D₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#435	C₂²	1	1	yes	characteristic
180	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
186	C₅₃×#433	C₂²	1	1	yes	characteristic, complemented
187	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
189	C₅₃×#428	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#427	C₂²	1	1	yes	characteristic, complemented
191	C₂×#107×C₅₃	C₂²	1	1	yes	characteristic, complemented
192	C₂×#107×C₅₃	C₂²	1	1	yes	characteristic, complemented
193	C₂×#107×C₅₃	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
195	C₅₃×#424	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₄⋊C₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#418	C₂²	1	1	yes	characteristic
198	C₅₃×#417	C₂²	1	1	yes	characteristic
199	C₅₃×#416	C₂²	1	1	yes	characteristic
200	C₂×#102×C₅₃	C₂²	1	1	yes	characteristic
201	C₂×#102×C₅₃	C₂²	1	1	yes	characteristic
202	C₂×#102×C₅₃	C₂²	1	1	yes	characteristic
203	C₂×#41×C₅₃	—	2	1	no	—
204	C₂×#41×C₅₃	—	2	1	no	—
205	C₂×#41×C₅₃	—	2	1	no	—
206	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
207	C₂²×Q₈×C₅₃	—	2	1	no	—
208	C₂²×D₄×C₅₃	—	2	1	no	—
209	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₅₃	—	2	1	no	—
212	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
215	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
217	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
218	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
219	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
220	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
221	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
223	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
224	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
226	C₄⋊Q₈×C₅₃	—	2	1	no	—
227	C₄⋊Q₈×C₅₃	—	2	1	no	—
228	C₄⋊Q₈×C₅₃	—	2	1	no	—
229	C₄⋊Q₈×C₅₃	—	2	1	no	—
230	C₄⋊Q₈×C₅₃	—	2	1	no	—
231	C₄⋊Q₈×C₅₃	—	2	1	no	—
232	C₄⋊Q₈×C₅₃	—	2	1	no	—
233	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
234	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
235	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
236	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
237	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
238	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
239	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
240	#127×C₅₃	C₂³	1	1	yes	characteristic
241	#126×C₅₃	—	2	1	no	—
242	#126×C₅₃	—	2	1	no	—
243	#126×C₅₃	—	2	1	no	—
244	#126×C₅₃	—	2	1	no	—
245	#126×C₅₃	—	2	1	no	—
246	#126×C₅₃	—	2	1	no	—
247	#126×C₅₃	—	2	1	no	—
248	#126×C₅₃	—	2	1	no	—
249	#126×C₅₃	—	2	1	no	—
250	#126×C₅₃	D₄	1	1	yes	characteristic
251	#126×C₅₃	D₄	1	1	yes	characteristic
252	#125×C₅₃	—	2	1	no	—
253	#125×C₅₃	—	2	1	no	—
254	#125×C₅₃	—	2	1	no	—
255	#125×C₅₃	—	2	1	no	—
256	#125×C₅₃	—	2	1	no	—
257	#125×C₅₃	—	2	1	no	—
258	#125×C₅₃	D₄	1	1	yes	characteristic
259	#125×C₅₃	C₂³	1	1	yes	characteristic
260	#125×C₅₃	C₂³	1	1	yes	characteristic
261	#125×C₅₃	C₂³	1	1	yes	characteristic
262	#125×C₅₃	C₂³	1	1	yes	characteristic
263	#125×C₅₃	C₂³	1	1	yes	characteristic
264	#124×C₅₃	—	2	1	no	—
265	#124×C₅₃	—	2	1	no	—
266	#124×C₅₃	—	2	1	no	—
267	#124×C₅₃	—	2	1	no	—
268	#124×C₅₃	—	2	1	no	—
269	#124×C₅₃	—	2	1	no	—
270	#124×C₅₃	D₄	1	1	yes	characteristic
271	#124×C₅₃	C₂³	1	1	yes	characteristic
272	#124×C₅₃	C₂³	1	1	yes	characteristic
273	#124×C₅₃	C₂³	1	1	yes	characteristic
274	#123×C₅₃	—	2	1	no	—
275	#123×C₅₃	—	2	1	no	—
276	#123×C₅₃	—	2	1	no	—
277	#123×C₅₃	—	2	1	no	—
278	#123×C₅₃	—	2	1	no	—
279	#123×C₅₃	—	2	1	no	—
280	#123×C₅₃	—	2	1	no	—
281	#123×C₅₃	—	2	1	no	—
282	#123×C₅₃	—	2	1	no	—
283	#123×C₅₃	—	2	1	no	—
284	#123×C₅₃	—	2	1	no	—
285	#123×C₅₃	—	2	1	no	—
286	#123×C₅₃	—	2	1	no	—
287	#123×C₅₃	—	2	1	no	—
288	#123×C₅₃	—	2	1	no	—
289	#123×C₅₃	—	2	1	no	—
290	#123×C₅₃	—	2	1	no	—
291	#123×C₅₃	—	2	1	no	—
292	#123×C₅₃	—	2	1	no	—
293	#123×C₅₃	—	2	1	no	—
294	#123×C₅₃	—	2	1	no	—
295	#123×C₅₃	D₄	1	1	yes	characteristic
296	#123×C₅₃	D₄	1	1	yes	characteristic
297	C₂²⋊Q₈×C₅₃	—	2	1	no	—
298	C₂²⋊Q₈×C₅₃	—	2	1	no	—
299	C₂²⋊Q₈×C₅₃	—	2	1	no	—
300	C₂²⋊Q₈×C₅₃	—	2	1	no	—
301	C₂²⋊Q₈×C₅₃	—	2	1	no	—
302	C₂²⋊Q₈×C₅₃	—	2	1	no	—
303	C₂²⋊Q₈×C₅₃	—	2	1	no	—
304	C₂²⋊Q₈×C₅₃	—	2	1	no	—
305	C₂²⋊Q₈×C₅₃	—	2	1	no	—
306	C₂²⋊Q₈×C₅₃	—	2	1	no	—
307	C₂²⋊Q₈×C₅₃	—	2	1	no	—
308	C₂²⋊Q₈×C₅₃	—	2	1	no	—
309	C₂²⋊Q₈×C₅₃	—	2	1	no	—
310	C₂²⋊Q₈×C₅₃	—	2	1	no	—
311	C₂²⋊Q₈×C₅₃	—	2	1	no	—
312	C₂²⋊Q₈×C₅₃	—	2	1	no	—
313	C₂²⋊Q₈×C₅₃	—	2	1	no	—
314	C₂²⋊Q₈×C₅₃	—	2	1	no	—
315	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
316	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
317	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
318	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
319	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
320	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
321	#121×C₅₃	—	2	1	no	—
322	#121×C₅₃	—	2	1	no	—
323	#121×C₅₃	—	2	1	no	—
324	#121×C₅₃	—	2	1	no	—
325	#121×C₅₃	—	2	1	no	—
326	#121×C₅₃	—	2	1	no	—
327	#121×C₅₃	—	2	1	no	—
328	#121×C₅₃	D₄	1	1	yes	characteristic
329	#121×C₅₃	C₂³	1	1	yes	characteristic
330	#121×C₅₃	C₂³	1	1	yes	characteristic
331	#121×C₅₃	C₂³	1	1	yes	characteristic
332	#121×C₅₃	C₂³	1	1	yes	characteristic
333	#121×C₅₃	C₂³	1	1	yes	characteristic
334	#121×C₅₃	C₂³	1	1	yes	characteristic
335	#121×C₅₃	C₂³	1	1	yes	characteristic
336	#120×C₅₃	—	2	1	no	—
337	#120×C₅₃	—	2	1	no	—
338	#120×C₅₃	—	2	1	no	—
339	#120×C₅₃	—	2	1	no	—
340	C₄×Q₈×C₅₃	—	2	1	no	—
341	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
342	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
343	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
344	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
345	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
346	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₅₃	—	2	1	no	—
348	C₄×D₄×C₅₃	—	2	1	no	—
349	C₄×D₄×C₅₃	—	2	1	no	—
350	C₄×D₄×C₅₃	—	2	1	no	—
351	C₄×D₄×C₅₃	—	2	1	no	—
352	C₄×D₄×C₅₃	—	2	1	no	—
353	C₄×D₄×C₅₃	—	2	1	no	—
354	C₄×D₄×C₅₃	—	2	1	no	—
355	C₄×D₄×C₅₃	—	2	1	no	—
356	C₄×D₄×C₅₃	—	2	1	no	—
357	C₄×D₄×C₅₃	—	2	1	no	—
358	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
359	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
360	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
361	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
362	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
363	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
365	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
366	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
367	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
368	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
369	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
370	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
371	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
372	#117×C₅₃	—	2	1	no	—
373	#117×C₅₃	—	2	1	no	—
374	#117×C₅₃	—	2	1	no	—
375	#117×C₅₃	—	2	1	no	—
376	#117×C₅₃	—	2	1	no	—
377	#117×C₅₃	—	2	1	no	—
378	#117×C₅₃	—	2	1	no	—
379	#117×C₅₃	C₂³	1	1	yes	characteristic
380	#117×C₅₃	C₂³	1	1	yes	characteristic
381	#117×C₅₃	C₂³	1	1	yes	characteristic
382	#117×C₅₃	C₂³	1	1	yes	characteristic
383	#117×C₅₃	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
385	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
386	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
387	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
388	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
394	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
395	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
396	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
397	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
398	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
399	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
400	#107×C₅₃	C₂³	1	1	yes	characteristic
401	#107×C₅₃	C₂³	1	1	yes	characteristic
402	#107×C₅₃	C₂³	1	1	yes	characteristic
403	#107×C₅₃	C₂³	1	1	yes	characteristic
404	#107×C₅₃	C₂³	1	1	yes	characteristic
405	#107×C₅₃	C₂³	1	1	yes	characteristic
406	#107×C₅₃	C₂³	1	1	yes	characteristic
407	#107×C₅₃	C₂³	1	1	yes	characteristic
408	#107×C₅₃	C₂³	1	1	yes	characteristic
409	#107×C₅₃	C₂³	1	1	yes	characteristic
410	#107×C₅₃	C₂³	1	1	yes	characteristic
411	#107×C₅₃	C₂³	1	1	yes	characteristic
412	#107×C₅₃	C₂³	1	1	yes	characteristic
413	#107×C₅₃	C₂³	1	1	yes	characteristic
414	#107×C₅₃	C₂³	1	1	yes	characteristic
415	#107×C₅₃	C₂³	1	1	yes	characteristic
416	#106×C₅₃	C₂³	1	1	yes	characteristic
417	#106×C₅₃	C₂³	1	1	yes	characteristic
418	#106×C₅₃	C₂³	1	1	yes	characteristic
419	#106×C₅₃	C₂³	1	1	yes	characteristic
420	#106×C₅₃	C₂³	1	1	yes	characteristic
421	#106×C₅₃	C₂³	1	1	yes	characteristic
422	#106×C₅₃	C₂³	1	1	yes	characteristic
423	#106×C₅₃	C₂³	1	1	yes	characteristic
424	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
425	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
426	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
427	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
428	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
429	C₄⋊C₈×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	#103×C₅₃	C₂³	1	1	yes	characteristic
435	#103×C₅₃	C₂³	1	1	yes	characteristic
436	#103×C₅₃	C₂³	1	1	yes	characteristic
437	#103×C₅₃	C₂³	1	1	yes	characteristic
438	#103×C₅₃	C₂³	1	1	yes	characteristic
439	#103×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	#102×C₅₃	C₂³	1	1	yes	characteristic
445	#102×C₅₃	C₂³	1	1	yes	characteristic
446	#102×C₅₃	C₂³	1	1	yes	characteristic
447	#102×C₅₃	C₂³	1	1	yes	characteristic
448	#102×C₅₃	C₂³	1	1	yes	characteristic
449	#102×C₅₃	C₂³	1	1	yes	characteristic
450	#102×C₅₃	C₂³	1	1	yes	characteristic
451	#102×C₅₃	C₂³	1	1	yes	characteristic
452	#102×C₅₃	C₂³	1	1	yes	characteristic
453	#102×C₅₃	C₂³	1	1	yes	characteristic
454	#102×C₅₃	C₂³	1	1	yes	characteristic
455	#102×C₅₃	C₂³	1	1	yes	characteristic
456	#102×C₅₃	C₂³	1	1	yes	characteristic
457	#102×C₅₃	C₂³	1	1	yes	characteristic
458	#102×C₅₃	C₂³	1	1	yes	characteristic
459	#102×C₅₃	C₂³	1	1	yes	characteristic
460	#102×C₅₃	C₂³	1	1	yes	characteristic
461	#102×C₅₃	C₂³	1	1	yes	characteristic
462	#102×C₅₃	C₂³	1	1	yes	characteristic
463	#102×C₅₃	C₂³	1	1	yes	characteristic
464	#102×C₅₃	C₂³	1	1	yes	characteristic
465	#102×C₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
472	#97×C₅₃	C₂³	1	1	yes	characteristic
473	#97×C₅₃	C₂³	1	1	yes	characteristic
474	#97×C₅₃	C₂³	1	1	yes	characteristic
475	#97×C₅₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
478	C₂⁴×C₅₃	—	2	1	no	—
479	C₂⁴×C₅₃	—	2	1	no	—
480	#41×C₅₃	—	2	2	no	—
481	#41×C₅₃	—	4	1	no	—
482	#41×C₅₃	—	8	2	no	—
483	#41×C₅₃	—	8	2	no	—
484	#41×C₅₃	—	8	2	no	—
485	C₂×Q₈×C₅₃	—	2	1	no	—
486	C₂×Q₈×C₅₃	—	2	1	no	—
487	C₂×Q₈×C₅₃	—	2	1	no	—
488	C₂×Q₈×C₅₃	—	2	1	no	—
489	C₂×Q₈×C₅₃	—	2	1	no	—
490	C₂×Q₈×C₅₃	—	2	1	no	—
491	C₂×Q₈×C₅₃	—	2	1	no	—
492	C₂×Q₈×C₅₃	—	8	2	no	—
493	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₅₃	—	2	2	no	—
497	C₂×D₄×C₅₃	—	2	2	no	—
498	C₂×D₄×C₅₃	—	2	1	no	—
499	C₂×D₄×C₅₃	—	2	1	no	—
500	C₂×D₄×C₅₃	—	2	1	no	—
501	C₂×D₄×C₅₃	—	2	1	no	—
502	C₂×D₄×C₅₃	—	2	1	no	—
503	C₂×D₄×C₅₃	—	2	1	no	—
504	C₂×D₄×C₅₃	—	2	1	no	—
505	C₂×D₄×C₅₃	—	2	1	no	—
506	C₂×D₄×C₅₃	—	2	1	no	—
507	C₂×D₄×C₅₃	—	2	1	no	—
508	C₂×D₄×C₅₃	—	2	1	no	—
509	C₂×D₄×C₅₃	—	2	1	no	—
510	C₂×D₄×C₅₃	—	4	1	no	—
511	C₂×D₄×C₅₃	—	4	1	no	—
512	C₂×D₄×C₅₃	—	8	2	no	—
513	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅₃	—	2	1	no	—
521	C₂²×C₄×C₅₃	—	2	1	no	—
522	C₂²×C₄×C₅₃	—	2	1	no	—
523	C₂²×C₄×C₅₃	—	2	1	no	—
524	C₂²×C₄×C₅₃	—	2	1	no	—
525	C₂²×C₄×C₅₃	—	2	1	no	—
526	C₂²×C₄×C₅₃	—	2	1	no	—
527	C₂²×C₄×C₅₃	—	2	1	no	—
528	C₂²×C₄×C₅₃	—	2	1	no	—
529	C₂²×C₄×C₅₃	—	2	1	no	—
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	—	8	2	no	—
539	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
544	Q₁₆×C₅₃	—	4	1	no	—
545	SD₁₆×C₅₃	—	2	2	no	—
546	SD₁₆×C₅₃	—	4	1	no	—
547	SD₁₆×C₅₃	—	4	1	no	—
548	SD₁₆×C₅₃	—	4	1	no	—
549	D₈×C₅₃	—	2	2	no	—
550	D₈×C₅₃	—	4	1	no	—
551	D₈×C₅₃	—	4	1	no	—
552	M₁₆×C₅₃	—	4	1	no	—
553	M₁₆×C₅₃	—	4	1	no	—
554	C₂×C₈×C₅₃	—	4	1	no	—
555	C₂×C₈×C₅₃	—	4	1	no	—
556	C₂×C₈×C₅₃	—	4	1	no	—
557	C₂×C₈×C₅₃	—	4	1	no	—
558	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
564	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₄⋊C₄×C₅₃	—	2	1	no	—
567	C₄⋊C₄×C₅₃	—	2	1	no	—
568	C₄⋊C₄×C₅₃	—	2	1	no	—
569	C₄⋊C₄×C₅₃	—	2	1	no	—
570	C₄⋊C₄×C₅₃	—	2	1	no	—
571	C₄⋊C₄×C₅₃	—	2	1	no	—
572	C₄⋊C₄×C₅₃	—	2	1	no	—
573	C₄⋊C₄×C₅₃	—	2	1	no	—
574	C₄⋊C₄×C₅₃	—	2	1	no	—
575	C₄⋊C₄×C₅₃	—	2	1	no	—
576	C₄⋊C₄×C₅₃	—	2	1	no	—
577	C₄⋊C₄×C₅₃	—	2	1	no	—
578	C₄⋊C₄×C₅₃	—	2	1	no	—
579	C₄⋊C₄×C₅₃	—	2	1	no	—
580	C₄⋊C₄×C₅₃	—	2	1	no	—
581	C₄⋊C₄×C₅₃	—	2	1	no	—
582	C₄⋊C₄×C₅₃	—	2	1	no	—
583	C₄⋊C₄×C₅₃	—	2	1	no	—
584	C₄⋊C₄×C₅₃	—	2	1	no	—
585	C₄⋊C₄×C₅₃	—	2	1	no	—
586	C₄⋊C₄×C₅₃	—	2	1	no	—
587	C₄⋊C₄×C₅₃	—	2	1	no	—
588	C₄⋊C₄×C₅₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
600	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
601	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
602	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
603	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
604	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
605	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
606	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
607	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
608	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
609	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
610	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
611	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
612	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
613	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
614	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
615	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
616	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
619	C₂²⋊C₄×C₅₃	—	2	1	no	—
620	C₂²⋊C₄×C₅₃	—	2	1	no	—
621	C₂²⋊C₄×C₅₃	—	2	1	no	—
622	C₂²⋊C₄×C₅₃	—	2	1	no	—
623	C₂²⋊C₄×C₅₃	—	2	1	no	—
624	C₂²⋊C₄×C₅₃	—	2	1	no	—
625	C₂²⋊C₄×C₅₃	—	2	1	no	—
626	C₂²⋊C₄×C₅₃	—	2	1	no	—
627	C₂²⋊C₄×C₅₃	—	2	1	no	—
628	C₂²⋊C₄×C₅₃	—	2	1	no	—
629	C₂²⋊C₄×C₅₃	—	2	1	no	—
630	C₂²⋊C₄×C₅₃	—	2	1	no	—
631	C₂²⋊C₄×C₅₃	—	2	1	no	—
632	C₂²⋊C₄×C₅₃	—	2	1	no	—
633	C₂²⋊C₄×C₅₃	—	2	1	no	—
634	C₂²⋊C₄×C₅₃	—	2	1	no	—
635	C₂²⋊C₄×C₅₃	—	2	1	no	—
636	C₂²⋊C₄×C₅₃	—	2	1	no	—
637	C₂²⋊C₄×C₅₃	—	2	1	no	—
638	C₂²⋊C₄×C₅₃	—	2	1	no	—
639	C₂²⋊C₄×C₅₃	—	2	1	no	—
640	C₂²⋊C₄×C₅₃	—	2	1	no	—
641	C₂²⋊C₄×C₅₃	—	2	1	no	—
642	C₂²⋊C₄×C₅₃	—	2	1	no	—
643	C₂²⋊C₄×C₅₃	—	2	1	no	—
644	C₂²⋊C₄×C₅₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
652	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
655	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
656	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
657	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
658	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
659	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
661	C₄²×C₅₃	—	2	1	no	—
662	C₄²×C₅₃	—	2	1	no	—
663	C₄²×C₅₃	—	2	1	no	—
664	C₄²×C₅₃	—	2	1	no	—
665	C₄²×C₅₃	—	2	1	no	—
666	C₄²×C₅₃	—	2	1	no	—
667	C₄²×C₅₃	—	2	1	no	—
668	C₄²×C₅₃	—	2	1	no	—
669	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
673	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
674	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
675	C₂³×C₅₃	—	2	1	no	—
676	C₂³×C₅₃	—	2	1	no	—
677	C₂³×C₅₃	—	2	1	no	—
678	C₂³×C₅₃	—	2	1	no	—
679	C₂³×C₅₃	—	4	2	no	—
680	C₂³×C₅₃	—	4	2	no	—
681	C₂³×C₅₃	—	4	2	no	—
682	C₂³×C₅₃	—	8	1	no	—
683	C₂³×C₅₃	—	8	1	no	—
684	C₂³×C₅₃	—	8	1	no	—
685	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
686	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
687	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
688	Q₈×C₅₃	—	2	1	no	—
689	Q₈×C₅₃	—	2	1	no	—
690	Q₈×C₅₃	—	2	1	no	—
691	Q₈×C₅₃	—	2	1	no	—
692	Q₈×C₅₃	—	4	1	no	—
693	Q₈×C₅₃	—	8	1	no	—
694	Q₈×C₅₃	—	8	1	no	—
695	Q₈×C₅₃	—	8	1	no	—
696	Q₈×C₅₃	—	8	1	no	—
697	Q₈×C₅₃	—	8	1	no	—
698	Q₈×C₅₃	—	8	1	no	—
699	Q₈×C₅₃	—	8	1	no	—
700	D₄×C₅₃	—	2	2	no	—
701	D₄×C₅₃	—	2	2	no	—
702	D₄×C₅₃	—	2	1	no	—
703	D₄×C₅₃	—	2	1	no	—
704	D₄×C₅₃	—	2	1	no	—
705	D₄×C₅₃	—	2	1	no	—
706	D₄×C₅₃	—	2	1	no	—
707	D₄×C₅₃	—	2	1	no	—
708	D₄×C₅₃	—	2	1	no	—
709	D₄×C₅₃	—	4	1	no	—
710	D₄×C₅₃	—	4	2	no	—
711	D₄×C₅₃	—	4	2	no	—
712	D₄×C₅₃	—	4	2	no	—
713	D₄×C₅₃	—	4	2	no	—
714	D₄×C₅₃	—	4	2	no	—
715	D₄×C₅₃	—	8	1	no	—
716	D₄×C₅₃	—	8	1	no	—
717	D₄×C₅₃	—	8	1	no	—
718	D₄×C₅₃	—	8	1	no	—
719	D₄×C₅₃	—	8	1	no	—
720	D₄×C₅₃	—	8	1	no	—
721	D₄×C₅₃	—	8	1	no	—
722	D₄×C₅₃	2₋¹⁺⁴	1	2	yes	—
723	C₂×C₄×C₅₃	—	2	2	no	—
724	C₂×C₄×C₅₃	—	2	1	no	—
725	C₂×C₄×C₅₃	—	2	1	no	—
726	C₂×C₄×C₅₃	—	2	1	no	—
727	C₂×C₄×C₅₃	—	2	1	no	—
728	C₂×C₄×C₅₃	—	2	1	no	—
729	C₂×C₄×C₅₃	—	2	1	no	—
730	C₂×C₄×C₅₃	—	2	1	no	—
731	C₂×C₄×C₅₃	—	2	1	no	—
732	C₂×C₄×C₅₃	—	2	1	no	—
733	C₂×C₄×C₅₃	—	2	1	no	—
734	C₂×C₄×C₅₃	—	2	1	no	—
735	C₂×C₄×C₅₃	—	2	1	no	—
736	C₂×C₄×C₅₃	—	2	1	no	—
737	C₂×C₄×C₅₃	—	2	1	no	—
738	C₂×C₄×C₅₃	—	2	1	no	—
739	C₂×C₄×C₅₃	—	2	1	no	—
740	C₂×C₄×C₅₃	—	2	1	no	—
741	C₂×C₄×C₅₃	—	2	1	no	—
742	C₂×C₄×C₅₃	—	4	1	no	—
743	C₂×C₄×C₅₃	—	4	2	no	—
744	C₂×C₄×C₅₃	—	4	2	no	—
745	C₂×C₄×C₅₃	—	4	2	no	—
746	C₂×C₄×C₅₃	—	4	2	no	—
747	C₂×C₄×C₅₃	—	4	2	no	—
748	C₂×C₄×C₅₃	—	8	1	no	—
749	C₂×C₄×C₅₃	—	8	1	no	—
750	C₂×C₄×C₅₃	—	8	1	no	—
751	C₂×C₄×C₅₃	—	8	1	no	—
752	C₂×C₄×C₅₃	—	8	1	no	—
753	C₂×C₄×C₅₃	—	8	1	no	—
754	C₂×C₄×C₅₃	—	8	1	no	—
755	C₂×C₄×C₅₃	—	8	1	no	—
756	C₂×C₄×C₅₃	—	8	1	no	—
757	C₂×C₄×C₅₃	—	8	1	no	—
758	C₂×C₄×C₅₃	—	8	1	no	—
759	C₂×C₄×C₅₃	—	8	1	no	—
760	C₂×C₄×C₅₃	—	8	1	no	—
761	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
765	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
771	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
772	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
773	C₈×C₅₃	—	2	1	no	—
774	C₈×C₅₃	—	2	1	no	—
775	C₈×C₅₃	—	2	1	no	—
776	C₈×C₅₃	—	2	1	no	—
777	C₈×C₅₃	—	2	1	no	—
778	C₈×C₅₃	—	2	1	no	—
779	C₈×C₅₃	—	2	1	no	—
780	C₈×C₅₃	—	2	1	no	—
781	#62155	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
782	C₂²×C₅₃	—	2	1	no	—
783	C₂²×C₅₃	—	2	1	no	—
784	C₂²×C₅₃	—	2	1	no	—
785	C₂²×C₅₃	—	2	1	no	—
786	C₂²×C₅₃	—	2	1	no	—
787	C₂²×C₅₃	—	2	1	no	—
788	C₂²×C₅₃	—	2	2	no	—
789	C₂²×C₅₃	—	2	1	no	—
790	C₂²×C₅₃	—	2	1	no	—
791	C₂²×C₅₃	—	4	1	no	—
792	C₂²×C₅₃	—	4	1	no	—
793	C₂²×C₅₃	—	4	1	no	—
794	C₂²×C₅₃	—	4	1	no	—
795	C₂²×C₅₃	—	4	1	no	—
796	C₂²×C₅₃	—	4	1	no	—
797	C₂²×C₅₃	—	4	1	no	—
798	C₂²×C₅₃	—	4	1	no	—
799	C₂²×C₅₃	—	4	1	no	—
800	C₂²×C₅₃	—	4	1	no	—
801	C₂²×C₅₃	—	4	1	no	—
802	C₂²×C₅₃	—	8	4	no	—
803	C₂²×C₅₃	—	16	2	no	—
804	C₂²×C₅₃	#576	1	2	yes	—
805	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
806	C₄×C₅₃	—	2	1	no	—
807	C₄×C₅₃	—	2	1	no	—
808	C₄×C₅₃	—	2	1	no	—
809	C₄×C₅₃	—	2	1	no	—
810	C₄×C₅₃	—	2	1	no	—
811	C₄×C₅₃	—	2	1	no	—
812	C₄×C₅₃	—	2	1	no	—
813	C₄×C₅₃	—	2	1	no	—
814	C₄×C₅₃	—	2	1	no	—
815	C₄×C₅₃	—	2	1	no	—
816	C₄×C₅₃	—	2	1	no	—
817	C₄×C₅₃	—	4	1	no	—
818	C₄×C₅₃	—	4	1	no	—
819	C₄×C₅₃	—	4	1	no	—
820	C₄×C₅₃	—	4	1	no	—
821	C₄×C₅₃	—	4	1	no	—
822	C₄×C₅₃	—	4	1	no	—
823	C₄×C₅₃	—	4	1	no	—
824	C₄×C₅₃	—	4	1	no	—
825	C₄×C₅₃	—	4	1	no	—
826	C₄×C₅₃	—	4	1	no	—
827	C₄×C₅₃	—	4	1	no	—
828	C₄×C₅₃	—	4	1	no	—
829	C₄×C₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
830	C₄×C₅₃	#585	1	1	yes	characteristic
831	#3544	C₂×C₅₃	1	1	yes	characteristic, complemented
832	#3513	C₂×C₅₃	1	1	yes	characteristic, complemented
833	#3389	C₂×C₅₃	1	1	yes	characteristic, complemented
834	#3385	C₂×C₅₃	1	1	yes	characteristic, complemented
835	#3375	C₂×C₅₃	1	1	yes	characteristic, complemented
836	#3370	C₂×C₅₃	1	1	yes	characteristic, complemented
837	#3347	C₂×C₅₃	1	1	yes	characteristic, complemented
838	#3346	C₂×C₅₃	1	1	yes	characteristic, complemented
839	#3343	C₂×C₅₃	1	1	yes	characteristic, complemented
840	#3343	C₂×C₅₃	1	1	yes	characteristic, complemented
841	#3336	C₂×C₅₃	1	1	yes	characteristic, complemented
842	#3334	C₂×C₅₃	1	1	yes	characteristic, complemented
843	#3319	C₂×C₅₃	1	1	yes	characteristic, complemented
844	#3314	C₂×C₅₃	1	1	yes	characteristic, complemented
845	#3310	C₂×C₅₃	1	1	yes	characteristic, complemented
846	#3306	C₂×C₅₃	1	1	yes	characteristic, complemented
847	#3296	C₂×C₅₃	1	1	yes	characteristic, complemented
848	#3294	C₂×C₅₃	1	1	yes	characteristic, complemented
849	#3262	C₂×C₅₃	1	1	yes	characteristic, complemented
850	#3257	C₂×C₅₃	1	1	yes	characteristic, complemented
851	#3250	C₂×C₅₃	1	1	yes	characteristic, complemented
852	#3243	C₂×C₅₃	1	1	yes	characteristic, complemented
853	#3241	C₂×C₅₃	1	1	yes	characteristic, complemented
854	#3238	C₂×C₅₃	1	1	yes	characteristic, complemented
855	#3124	C₂×C₅₃	1	1	yes	characteristic, complemented
856	#3118	C₂×C₅₃	1	1	yes	characteristic, complemented
857	#3114	C₂×C₅₃	1	1	yes	characteristic, complemented
858	#3083	C₂×C₅₃	1	1	yes	characteristic, complemented
859	#3081	C₂×C₅₃	1	1	yes	characteristic, complemented
860	C₂×#474	C₂×C₅₃	1	1	yes	characteristic, complemented
861	#2992	C₂×C₅₃	1	1	yes	characteristic, complemented
862	C₂×C₅₃	—	2	2	no	—
863	C₂×C₅₃	—	4	1	no	—
864	C₂×C₅₃	—	4	1	no	—
865	C₂×C₅₃	—	4	2	no	—
866	C₂×C₅₃	—	8	1	no	—
867	C₂×C₅₃	—	8	1	no	—
868	C₂×C₅₃	—	8	1	no	—
869	C₂×C₅₃	#3489	1	1	yes	characteristic
870	C₂×C₅₃	C₂×#576	1	1	yes	characteristic
871	C₂×C₅₃	#3586	1	1	yes	characteristic
872	#563	—	2	1	no	—
873	#563	—	2	1	no	—
874	#559	C₂²×C₅₃	1	1	yes	characteristic
875	Q₈²	C₂²×C₅₃	1	1	yes	characteristic, complemented
876	#555	C₂²×C₅₃	1	1	yes	characteristic, complemented
877	#554	C₂²×C₅₃	1	1	yes	characteristic
878	#554	C₂²×C₅₃	1	1	yes	characteristic, complemented
879	#554	C₂²×C₅₃	1	1	yes	characteristic, complemented
880	#553	—	2	1	no	—
881	#553	C₂²×C₅₃	1	1	yes	characteristic
882	#552	—	2	1	no	—
883	#552	C₂²×C₅₃	1	1	yes	characteristic
884	#552	C₂²×C₅₃	1	1	yes	characteristic
885	#552	C₂²×C₅₃	1	1	yes	characteristic, complemented
886	#551	—	2	1	no	—
887	#551	—	2	1	no	—
888	#547	—	2	1	no	—
889	#547	C₂²×C₅₃	1	1	yes	characteristic
890	#547	C₂²×C₅₃	1	1	yes	characteristic
891	#547	C₂²×C₅₃	1	1	yes	characteristic, complemented
892	#546	—	2	1	no	—
893	#546	C₂²×C₅₃	1	1	yes	characteristic
894	#546	C₂²×C₅₃	1	1	yes	characteristic
895	D₄²	C₂²×C₅₃	1	1	yes	characteristic
896	#544	—	2	1	no	—
897	#544	C₂²×C₅₃	1	1	yes	characteristic, complemented
898	#544	C₂²×C₅₃	1	1	yes	characteristic, complemented
899	#542	—	2	1	no	—
900	#542	C₂²×C₅₃	1	1	yes	characteristic
901	#542	C₂²×C₅₃	1	1	yes	characteristic, complemented
902	#542	C₂²×C₅₃	1	1	yes	characteristic, complemented
903	#540	C₂²×C₅₃	1	1	yes	characteristic
904	#539	—	2	1	no	—
905	#538	—	2	1	no	—
906	#536	—	2	1	no	—
907	#536	—	2	1	no	—
908	C₂×C₄⋊Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
909	#529	C₂²×C₅₃	1	1	yes	characteristic
910	#529	C₂²×C₅₃	1	1	yes	characteristic
911	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
912	#525	—	2	1	no	—
913	C₂×#123	—	2	1	no	—
914	#520	C₂²×C₅₃	1	1	yes	characteristic
915	#518	C₂²×C₅₃	1	1	yes	characteristic
916	C₂×C₄×D₄	C₂²×C₅₃	1	1	yes	characteristic
917	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
918	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
919	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
920	#501	C₂²×C₅₃	1	1	yes	characteristic, complemented
921	#500	C₂²×C₅₃	1	1	yes	characteristic, complemented
922	#499	C₂²×C₅₃	1	1	yes	characteristic, complemented
923	#490	C₂²×C₅₃	1	1	yes	characteristic
924	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
925	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
926	#489	C₂²×C₅₃	1	1	yes	characteristic, complemented
927	#488	C₂²×C₅₃	1	1	yes	characteristic, complemented
928	#486	C₂²×C₅₃	1	1	yes	characteristic
929	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
930	#485	C₂²×C₅₃	1	1	yes	characteristic, complemented
931	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
932	#484	C₂²×C₅₃	1	1	yes	characteristic, complemented
933	#483	C₂²×C₅₃	1	1	yes	characteristic, complemented
934	#483	C₂²×C₅₃	1	1	yes	characteristic, complemented
935	#483	C₂²×C₅₃	1	1	yes	characteristic, complemented
936	#482	C₂²×C₅₃	1	1	yes	characteristic
937	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
938	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
939	#482	C₂²×C₅₃	1	1	yes	characteristic, complemented
940	#481	C₂²×C₅₃	1	1	yes	characteristic, complemented
941	#480	C₂²×C₅₃	1	1	yes	characteristic
942	#480	C₂²×C₅₃	1	1	yes	characteristic
943	#480	C₂²×C₅₃	1	1	yes	characteristic
944	#480	C₂²×C₅₃	1	1	yes	characteristic, complemented
945	#480	C₂²×C₅₃	1	1	yes	characteristic, complemented
946	#480	C₂²×C₅₃	1	1	yes	characteristic, complemented
947	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
948	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
949	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
950	#479	C₂²×C₅₃	1	1	yes	characteristic, complemented
951	#478	C₂²×C₅₃	1	1	yes	characteristic
952	#478	C₂²×C₅₃	1	1	yes	characteristic
953	#478	C₂²×C₅₃	1	1	yes	characteristic
954	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
955	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
956	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
957	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
958	#478	C₂²×C₅₃	1	1	yes	characteristic, complemented
959	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
960	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
961	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
962	#477	C₂²×C₅₃	1	1	yes	characteristic, complemented
963	#476	C₂²×C₅₃	1	1	yes	characteristic
964	#476	C₂²×C₅₃	1	1	yes	characteristic, complemented
965	#476	C₂²×C₅₃	1	1	yes	characteristic, complemented
966	#474	C₂²×C₅₃	1	1	yes	characteristic
967	#474	C₂²×C₅₃	1	1	yes	characteristic
968	#474	C₂²×C₅₃	1	1	yes	characteristic
969	#474	C₂²×C₅₃	1	1	yes	characteristic
970	#474	C₂²×C₅₃	1	1	yes	characteristic
971	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
972	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
973	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
974	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
975	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
976	#474	C₂²×C₅₃	1	1	yes	characteristic, complemented
977	#469	C₂²×C₅₃	1	1	yes	characteristic, complemented
978	#468	C₂²×C₅₃	1	1	yes	characteristic
979	#468	C₂²×C₅₃	1	1	yes	characteristic, complemented
980	#468	C₂²×C₅₃	1	1	yes	characteristic, complemented
981	#467	C₂²×C₅₃	1	1	yes	characteristic, complemented
982	#467	C₂²×C₅₃	1	1	yes	characteristic, complemented
983	#466	C₂²×C₅₃	1	1	yes	characteristic
984	#466	C₂²×C₅₃	1	1	yes	characteristic
985	#466	C₂²×C₅₃	1	1	yes	characteristic, complemented
986	#465	C₂²×C₅₃	1	1	yes	characteristic
987	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
988	#465	C₂²×C₅₃	1	1	yes	characteristic, complemented
989	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
990	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
991	#464	C₂²×C₅₃	1	1	yes	characteristic, complemented
992	#463	C₂²×C₅₃	1	1	yes	characteristic
993	#463	C₂²×C₅₃	1	1	yes	characteristic, complemented
994	#463	C₂²×C₅₃	1	1	yes	characteristic, complemented
995	#463	C₂²×C₅₃	1	1	yes	characteristic, complemented
996	#463	C₂²×C₅₃	1	1	yes	characteristic, complemented
997	#460	C₂²×C₅₃	1	1	yes	characteristic
998	#459	C₂²×C₅₃	1	1	yes	characteristic
999	#452	C₂²×C₅₃	1	1	yes	characteristic
1000	#450	C₂²×C₅₃	1	1	yes	characteristic
1001	#450	C₂²×C₅₃	1	1	yes	characteristic
1002	#449	C₂²×C₅₃	1	1	yes	characteristic
1003	#447	C₂²×C₅₃	1	1	yes	characteristic
1004	#447	C₂²×C₅₃	1	1	yes	characteristic
1005	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1006	#446	C₂²×C₅₃	1	1	yes	characteristic, complemented
1007	#442	C₂²×C₅₃	1	1	yes	characteristic
1008	#442	C₂²×C₅₃	1	1	yes	characteristic
1009	#442	C₂²×C₅₃	1	1	yes	characteristic, complemented
1010	#440	C₂²×C₅₃	1	1	yes	characteristic
1011	#440	C₂²×C₅₃	1	1	yes	characteristic
1012	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1013	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1014	#440	C₂²×C₅₃	1	1	yes	characteristic, complemented
1015	C₄×Q₁₆	C₂²×C₅₃	1	1	yes	characteristic, complemented
1016	C₄×SD₁₆	C₂²×C₅₃	1	1	yes	characteristic
1017	C₄×D₈	C₂²×C₅₃	1	1	yes	characteristic
1018	C₄×D₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1019	#435	C₂²×C₅₃	1	1	yes	characteristic
1020	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1021	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1022	#435	C₂²×C₅₃	1	1	yes	characteristic, complemented
1023	C₈×D₄	C₂²×C₅₃	1	1	yes	characteristic
1024	C₈×D₄	C₂²×C₅₃	1	1	yes	characteristic, complemented
1025	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1026	#433	C₂²×C₅₃	1	1	yes	characteristic, complemented
1027	#432	C₂²×C₅₃	1	1	yes	characteristic, complemented
1028	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1029	#428	C₂²×C₅₃	1	1	yes	characteristic, complemented
1030	#427	C₂²×C₅₃	1	1	yes	characteristic, complemented
1031	C₂×#107	C₂²×C₅₃	1	1	yes	characteristic, complemented
1032	C₂×#107	C₂²×C₅₃	1	1	yes	characteristic, complemented
1033	C₂×#107	C₂²×C₅₃	1	1	yes	characteristic, complemented
1034	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1035	#424	C₂²×C₅₃	1	1	yes	characteristic, complemented
1036	C₂×C₄⋊C₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1037	#418	C₂²×C₅₃	1	1	yes	characteristic
1038	#417	C₂²×C₅₃	1	1	yes	characteristic
1039	#416	C₂²×C₅₃	1	1	yes	characteristic
1040	C₂×#102	C₂²×C₅₃	1	1	yes	characteristic
1041	C₂×#102	C₂²×C₅₃	1	1	yes	characteristic
1042	C₂×#102	C₂²×C₅₃	1	1	yes	characteristic
1043	C₅₃	#62155	1	1	yes	characteristic, direct product factor, Sylow
1044	C₂×#41	—	2	1	no	—
1045	C₂×#41	—	2	1	no	—
1046	C₂×#41	—	2	1	no	—
1047	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1048	C₂²×Q₈	—	2	1	no	—
1049	C₂²×D₄	—	2	1	no	—
1050	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1051	C₂²×D₄	C₂³×C₅₃	1	1	yes	characteristic
1052	C₂³×C₄	—	2	1	no	—
1053	C₂×Q₁₆	C₂³×C₅₃	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₅₃	1	1	yes	characteristic
1058	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1059	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1060	C₂×D₈	C₂³×C₅₃	1	1	yes	characteristic
1061	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1062	C₂×M₁₆	C₂³×C₅₃	1	1	yes	characteristic
1063	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1064	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1065	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1066	C₂²×C₈	C₂³×C₅₃	1	1	yes	characteristic
1067	C₄⋊Q₈	—	2	1	no	—
1068	C₄⋊Q₈	—	2	1	no	—
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	—	2	1	no	—
1072	C₄⋊Q₈	—	2	1	no	—
1073	C₄⋊Q₈	—	2	1	no	—
1074	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1081	#127	C₂³×C₅₃	1	1	yes	characteristic
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	D₄×C₅₃	1	1	yes	characteristic
1092	#126	D₄×C₅₃	1	1	yes	characteristic
1093	#125	—	2	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	D₄×C₅₃	1	1	yes	characteristic
1100	#125	C₂³×C₅₃	1	1	yes	characteristic
1101	#125	C₂³×C₅₃	1	1	yes	characteristic
1102	#125	C₂³×C₅₃	1	1	yes	characteristic
1103	#125	C₂³×C₅₃	1	1	yes	characteristic
1104	#125	C₂³×C₅₃	1	1	yes	characteristic
1105	#124	—	2	1	no	—
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	D₄×C₅₃	1	1	yes	characteristic
1112	#124	C₂³×C₅₃	1	1	yes	characteristic
1113	#124	C₂³×C₅₃	1	1	yes	characteristic
1114	#124	C₂³×C₅₃	1	1	yes	characteristic
1115	#123	—	2	1	no	—
1116	#123	—	2	1	no	—
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	D₄×C₅₃	1	1	yes	characteristic
1137	#123	D₄×C₅₃	1	1	yes	characteristic
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	D₄×C₅₃	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1158	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	D₄×C₅₃	1	1	yes	characteristic
1170	#121	C₂³×C₅₃	1	1	yes	characteristic
1171	#121	C₂³×C₅₃	1	1	yes	characteristic
1172	#121	C₂³×C₅₃	1	1	yes	characteristic
1173	#121	C₂³×C₅₃	1	1	yes	characteristic
1174	#121	C₂³×C₅₃	1	1	yes	characteristic
1175	#121	C₂³×C₅₃	1	1	yes	characteristic
1176	#121	C₂³×C₅₃	1	1	yes	characteristic
1177	#120	—	2	1	no	—
1178	#120	—	2	1	no	—
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	C₄×Q₈	—	2	1	no	—
1182	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1183	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1185	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1186	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1187	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1188	C₄×D₄	—	2	1	no	—
1189	C₄×D₄	—	2	1	no	—
1190	C₄×D₄	—	2	1	no	—
1191	C₄×D₄	—	2	1	no	—
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1200	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1201	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1202	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1203	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1204	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1205	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1206	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1207	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1208	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1209	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1210	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1211	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1212	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	2	1	no	—
1216	#117	—	2	1	no	—
1217	#117	—	2	1	no	—
1218	#117	—	2	1	no	—
1219	#117	—	2	1	no	—
1220	#117	C₂³×C₅₃	1	1	yes	characteristic
1221	#117	C₂³×C₅₃	1	1	yes	characteristic
1222	#117	C₂³×C₅₃	1	1	yes	characteristic
1223	#117	C₂³×C₅₃	1	1	yes	characteristic
1224	#117	C₂³×C₅₃	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	—	2	1	no	—
1226	C₂×C₄⋊C₄	—	2	1	no	—
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1230	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1231	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1232	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1233	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1234	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1235	C₂×C₂²⋊C₄	—	2	1	no	—
1236	C₂×C₂²⋊C₄	—	2	1	no	—
1237	C₂×C₂²⋊C₄	—	2	1	no	—
1238	C₂×C₂²⋊C₄	—	2	1	no	—
1239	C₂×C₂²⋊C₄	—	2	1	no	—
1240	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1241	#107	C₂³×C₅₃	1	1	yes	characteristic
1242	#107	C₂³×C₅₃	1	1	yes	characteristic
1243	#107	C₂³×C₅₃	1	1	yes	characteristic
1244	#107	C₂³×C₅₃	1	1	yes	characteristic
1245	#107	C₂³×C₅₃	1	1	yes	characteristic
1246	#107	C₂³×C₅₃	1	1	yes	characteristic
1247	#107	C₂³×C₅₃	1	1	yes	characteristic
1248	#107	C₂³×C₅₃	1	1	yes	characteristic
1249	#107	C₂³×C₅₃	1	1	yes	characteristic
1250	#107	C₂³×C₅₃	1	1	yes	characteristic
1251	#107	C₂³×C₅₃	1	1	yes	characteristic
1252	#107	C₂³×C₅₃	1	1	yes	characteristic
1253	#107	C₂³×C₅₃	1	1	yes	characteristic
1254	#107	C₂³×C₅₃	1	1	yes	characteristic
1255	#107	C₂³×C₅₃	1	1	yes	characteristic
1256	#107	C₂³×C₅₃	1	1	yes	characteristic
1257	#106	C₂³×C₅₃	1	1	yes	characteristic
1258	#106	C₂³×C₅₃	1	1	yes	characteristic
1259	#106	C₂³×C₅₃	1	1	yes	characteristic
1260	#106	C₂³×C₅₃	1	1	yes	characteristic
1261	#106	C₂³×C₅₃	1	1	yes	characteristic
1262	#106	C₂³×C₅₃	1	1	yes	characteristic
1263	#106	C₂³×C₅₃	1	1	yes	characteristic
1264	#106	C₂³×C₅₃	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1266	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1267	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1268	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1269	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1270	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1271	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1272	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1273	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1274	C₄⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1275	#103	C₂³×C₅₃	1	1	yes	characteristic
1276	#103	C₂³×C₅₃	1	1	yes	characteristic
1277	#103	C₂³×C₅₃	1	1	yes	characteristic
1278	#103	C₂³×C₅₃	1	1	yes	characteristic
1279	#103	C₂³×C₅₃	1	1	yes	characteristic
1280	#103	C₂³×C₅₃	1	1	yes	characteristic
1281	#103	C₂³×C₅₃	1	1	yes	characteristic
1282	#103	C₂³×C₅₃	1	1	yes	characteristic
1283	#103	C₂³×C₅₃	1	1	yes	characteristic
1284	#103	C₂³×C₅₃	1	1	yes	characteristic
1285	#102	C₂³×C₅₃	1	1	yes	characteristic
1286	#102	C₂³×C₅₃	1	1	yes	characteristic
1287	#102	C₂³×C₅₃	1	1	yes	characteristic
1288	#102	C₂³×C₅₃	1	1	yes	characteristic
1289	#102	C₂³×C₅₃	1	1	yes	characteristic
1290	#102	C₂³×C₅₃	1	1	yes	characteristic
1291	#102	C₂³×C₅₃	1	1	yes	characteristic
1292	#102	C₂³×C₅₃	1	1	yes	characteristic
1293	#102	C₂³×C₅₃	1	1	yes	characteristic
1294	#102	C₂³×C₅₃	1	1	yes	characteristic
1295	#102	C₂³×C₅₃	1	1	yes	characteristic
1296	#102	C₂³×C₅₃	1	1	yes	characteristic
1297	#102	C₂³×C₅₃	1	1	yes	characteristic
1298	#102	C₂³×C₅₃	1	1	yes	characteristic
1299	#102	C₂³×C₅₃	1	1	yes	characteristic
1300	#102	C₂³×C₅₃	1	1	yes	characteristic
1301	#102	C₂³×C₅₃	1	1	yes	characteristic
1302	#102	C₂³×C₅₃	1	1	yes	characteristic
1303	#102	C₂³×C₅₃	1	1	yes	characteristic
1304	#102	C₂³×C₅₃	1	1	yes	characteristic
1305	#102	C₂³×C₅₃	1	1	yes	characteristic
1306	#102	C₂³×C₅₃	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1312	C₂²⋊C₈	C₂³×C₅₃	1	1	yes	characteristic
1313	#97	C₂³×C₅₃	1	1	yes	characteristic
1314	#97	C₂³×C₅₃	1	1	yes	characteristic
1315	#97	C₂³×C₅₃	1	1	yes	characteristic
1316	#97	C₂³×C₅₃	1	1	yes	characteristic
1317	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₅₃	1	1	yes	characteristic
1319	C₂⁴	—	2	1	no	—
1320	C₂⁴	—	2	1	no	—
1321	#41	—	2	2	no	—
1322	#41	—	4	1	no	—
1323	#41	—	8	2	no	—
1324	#41	—	8	2	no	—
1325	#41	—	8	2	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	2	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	8	2	no	—
1334	C₂×Q₈	C₂×D₄×C₅₃	1	1	yes	characteristic
1335	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1336	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1337	C₂×D₄	—	2	2	no	—
1338	C₂×D₄	—	2	2	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	4	1	no	—
1352	C₂×D₄	—	4	1	no	—
1353	C₂×D₄	—	8	2	no	—
1354	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1355	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1356	C₂×D₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1357	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1358	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1359	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1360	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	8	2	no	—
1380	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1381	C₂²×C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1382	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1384	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1385	Q₁₆	—	4	1	no	—
1386	SD₁₆	—	2	2	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	4	1	no	—
1389	SD₁₆	—	4	1	no	—
1390	D₈	—	2	2	no	—
1391	D₈	—	4	1	no	—
1392	D₈	—	4	1	no	—
1393	M₁₆	—	4	1	no	—
1394	M₁₆	—	4	1	no	—
1395	C₂×C₈	—	4	1	no	—
1396	C₂×C₈	—	4	1	no	—
1397	C₂×C₈	—	4	1	no	—
1398	C₂×C₈	—	4	1	no	—
1399	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1400	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1401	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1402	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1403	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1404	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1405	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1406	C₂×C₈	C₂⁴×C₅₃	1	1	yes	characteristic
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1441	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1442	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1443	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1444	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1445	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1450	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1451	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1452	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1453	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1454	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1457	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1458	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1459	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1493	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1495	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1496	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1497	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1498	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×D₄×C₅₃	1	1	yes	characteristic
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1511	C₄²	C₂×D₄×C₅₃	1	1	yes	characteristic
1512	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1513	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1514	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1515	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	4	2	no	—
1522	C₂³	—	4	2	no	—
1523	C₂³	—	8	1	no	—
1524	C₂³	—	8	1	no	—
1525	C₂³	—	8	1	no	—
1526	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1527	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1528	C₂³	C₂²×D₄×C₅₃	1	1	yes	characteristic
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	4	1	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	Q₈	—	8	1	no	—
1538	Q₈	—	8	1	no	—
1539	Q₈	—	8	1	no	—
1540	Q₈	—	8	1	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	2	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	2	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	4	2	no	—
1555	D₄	—	4	2	no	—
1556	D₄	—	8	1	no	—
1557	D₄	—	8	1	no	—
1558	D₄	—	8	1	no	—
1559	D₄	—	8	1	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	2₋¹⁺⁴×C₅₃	1	2	yes	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	2	no	—
1585	C₂×C₄	—	4	2	no	—
1586	C₂×C₄	—	4	2	no	—
1587	C₂×C₄	—	4	2	no	—
1588	C₂×C₄	—	4	2	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1603	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1604	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1605	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1606	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1607	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1608	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1609	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1610	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1611	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1612	C₂×C₄	C₂²×D₄×C₅₃	1	1	yes	characteristic
1613	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	4	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	8	4	no	—
1643	C₂²	—	16	2	no	—
1644	C₂²	C₅₃×#576	1	2	yes	—
1645	C₂²	C₂³×D₄×C₅₃	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	C₂×2₋¹⁺⁴×C₅₃	1	1	yes	characteristic
1670	C₄	C₅₃×#585	1	1	yes	characteristic
1671	C₂	—	2	2	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	1	no	—
1674	C₂	—	4	2	no	—
1675	C₂	—	8	1	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	8	1	no	—
1678	C₂	C₅₃×#3489	1	1	yes	characteristic
1679	C₂	C₂×C₅₃×#576	1	1	yes	characteristic
1680	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×#3544	C₂	semidirect
2. C₅₃×#3513	C₂	semidirect
3. C₅₃×#3389	C₂	semidirect
4. C₅₃×#3385	C₂	semidirect
5. C₅₃×#3375	C₂	semidirect
6. C₅₃×#3370	C₂	semidirect
7. C₅₃×#3347	C₂	semidirect
8. C₅₃×#3346	C₂	semidirect
9. C₅₃×#3343	C₂	semidirect
10. C₅₃×#3343	C₂	semidirect
11. C₅₃×#3336	C₂	semidirect
12. C₅₃×#3334	C₂	semidirect
13. C₅₃×#3319	C₂	semidirect
14. C₅₃×#3314	C₂	semidirect
15. C₅₃×#3310	C₂	semidirect
16. C₅₃×#3306	C₂	semidirect
17. C₅₃×#3296	C₂	semidirect
18. C₅₃×#3294	C₂	semidirect
19. C₅₃×#3262	C₂	semidirect
20. C₅₃×#3257	C₂	semidirect
21. C₅₃×#3250	C₂	semidirect
22. C₅₃×#3243	C₂	semidirect
23. C₅₃×#3241	C₂	semidirect
24. C₅₃×#3238	C₂	semidirect
25. C₅₃×#3124	C₂	semidirect
26. C₅₃×#3118	C₂	semidirect
27. C₅₃×#3114	C₂	semidirect
28. C₅₃×#3083	C₂	semidirect
29. C₅₃×#3081	C₂	semidirect
30. C₂×C₅₃×#474	C₂	semidirect
31. C₅₃×#2992	C₂	semidirect
35. Q₈²×C₅₃	C₂²	semidirect
36. C₅₃×#555	C₂²	semidirect
38. C₅₃×#554	C₂²	semidirect
39. C₅₃×#554	C₂²	semidirect
45. C₅₃×#552	C₂²	semidirect
51. C₅₃×#547	C₂²	semidirect
57. C₅₃×#544	C₂²	semidirect
58. C₅₃×#544	C₂²	semidirect
61. C₅₃×#542	C₂²	semidirect
62. C₅₃×#542	C₂²	semidirect
68. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
71. C₅₃×#529	C₂²	semidirect
77. C₅₃×#501	C₂²	semidirect
78. C₅₃×#501	C₂²	semidirect
79. C₅₃×#501	C₂²	semidirect
80. C₅₃×#501	C₂²	semidirect
81. C₅₃×#500	C₂²	semidirect
82. C₅₃×#499	C₂²	semidirect
84. C₅₃×#489	C₂²	semidirect
85. C₅₃×#489	C₂²	semidirect
86. C₅₃×#489	C₂²	semidirect
87. C₅₃×#488	C₂²	semidirect
89. C₅₃×#485	C₂²	semidirect
90. C₅₃×#485	C₂²	semidirect
91. C₅₃×#484	C₂²	semidirect
92. C₅₃×#484	C₂²	semidirect
93. C₅₃×#483	C₂²	semidirect
94. C₅₃×#483	C₂²	semidirect
95. C₅₃×#483	C₂²	semidirect
97. C₅₃×#482	C₂²	semidirect
98. C₅₃×#482	C₂²	semidirect
99. C₅₃×#482	C₂²	semidirect
100. C₅₃×#481	C₂²	semidirect
104. C₅₃×#480	C₂²	semidirect
105. C₅₃×#480	C₂²	semidirect
106. C₅₃×#480	C₂²	semidirect
107. C₅₃×#479	C₂²	semidirect
108. C₅₃×#479	C₂²	semidirect
109. C₅₃×#479	C₂²	semidirect
110. C₅₃×#479	C₂²	semidirect
114. C₅₃×#478	C₂²	semidirect
115. C₅₃×#478	C₂²	semidirect
116. C₅₃×#478	C₂²	semidirect
117. C₅₃×#478	C₂²	semidirect
118. C₅₃×#478	C₂²	semidirect
119. C₅₃×#477	C₂²	semidirect
120. C₅₃×#477	C₂²	semidirect
121. C₅₃×#477	C₂²	semidirect
122. C₅₃×#477	C₂²	semidirect
124. C₅₃×#476	C₂²	semidirect
125. C₅₃×#476	C₂²	semidirect
131. C₅₃×#474	C₂²	semidirect
132. C₅₃×#474	C₂²	semidirect
133. C₅₃×#474	C₂²	semidirect
134. C₅₃×#474	C₂²	semidirect
135. C₅₃×#474	C₂²	semidirect
136. C₅₃×#474	C₂²	semidirect
137. C₅₃×#469	C₂²	semidirect
139. C₅₃×#468	C₂²	semidirect
140. C₅₃×#468	C₂²	semidirect
141. C₅₃×#467	C₂²	semidirect
142. C₅₃×#467	C₂²	semidirect
145. C₅₃×#466	C₂²	semidirect
147. C₅₃×#465	C₂²	semidirect
148. C₅₃×#465	C₂²	semidirect
149. C₅₃×#464	C₂²	semidirect
150. C₅₃×#464	C₂²	semidirect
151. C₅₃×#464	C₂²	semidirect
153. C₅₃×#463	C₂²	semidirect
154. C₅₃×#463	C₂²	semidirect
155. C₅₃×#463	C₂²	semidirect
156. C₅₃×#463	C₂²	semidirect
165. C₅₃×#446	C₂²	semidirect
166. C₅₃×#446	C₂²	semidirect
169. C₅₃×#442	C₂²	semidirect
172. C₅₃×#440	C₂²	semidirect
173. C₅₃×#440	C₂²	semidirect
174. C₅₃×#440	C₂²	semidirect
175. C₄×Q₁₆×C₅₃	C₂²	semidirect
178. C₄×D₈×C₅₃	C₂²	semidirect
180. C₅₃×#435	C₂²	semidirect
181. C₅₃×#435	C₂²	semidirect
182. C₅₃×#435	C₂²	semidirect
184. C₈×D₄×C₅₃	C₂²	semidirect
185. C₅₃×#433	C₂²	semidirect
186. C₅₃×#433	C₂²	semidirect
187. C₅₃×#432	C₂²	semidirect
188. C₅₃×#428	C₂²	semidirect
189. C₅₃×#428	C₂²	semidirect
190. C₅₃×#427	C₂²	semidirect
191. C₂×#107×C₅₃	C₂²	semidirect
192. C₂×#107×C₅₃	C₂²	semidirect
193. C₂×#107×C₅₃	C₂²	semidirect
194. C₅₃×#424	C₂²	semidirect
195. C₅₃×#424	C₂²	semidirect
196. C₂×C₄⋊C₈×C₅₃	C₂²	semidirect
781. #62155	C₅₃	direct (N × H)
831. #3544	C₂×C₅₃	semidirect
832. #3513	C₂×C₅₃	semidirect
833. #3389	C₂×C₅₃	semidirect
834. #3385	C₂×C₅₃	semidirect
835. #3375	C₂×C₅₃	semidirect
836. #3370	C₂×C₅₃	semidirect
837. #3347	C₂×C₅₃	semidirect
838. #3346	C₂×C₅₃	semidirect
839. #3343	C₂×C₅₃	semidirect
840. #3343	C₂×C₅₃	semidirect
841. #3336	C₂×C₅₃	semidirect
842. #3334	C₂×C₅₃	semidirect
843. #3319	C₂×C₅₃	semidirect
844. #3314	C₂×C₅₃	semidirect
845. #3310	C₂×C₅₃	semidirect
846. #3306	C₂×C₅₃	semidirect
847. #3296	C₂×C₅₃	semidirect
848. #3294	C₂×C₅₃	semidirect
849. #3262	C₂×C₅₃	semidirect
850. #3257	C₂×C₅₃	semidirect
851. #3250	C₂×C₅₃	semidirect
852. #3243	C₂×C₅₃	semidirect
853. #3241	C₂×C₅₃	semidirect
854. #3238	C₂×C₅₃	semidirect
855. #3124	C₂×C₅₃	semidirect
856. #3118	C₂×C₅₃	semidirect
857. #3114	C₂×C₅₃	semidirect
858. #3083	C₂×C₅₃	semidirect
859. #3081	C₂×C₅₃	semidirect
860. C₂×#474	C₂×C₅₃	semidirect
861. #2992	C₂×C₅₃	semidirect
875. Q₈²	C₂²×C₅₃	semidirect
876. #555	C₂²×C₅₃	semidirect
878. #554	C₂²×C₅₃	semidirect
879. #554	C₂²×C₅₃	semidirect
885. #552	C₂²×C₅₃	semidirect
891. #547	C₂²×C₅₃	semidirect
897. #544	C₂²×C₅₃	semidirect
898. #544	C₂²×C₅₃	semidirect
901. #542	C₂²×C₅₃	semidirect
902. #542	C₂²×C₅₃	semidirect
908. C₂×C₄⋊Q₈	C₂²×C₅₃	semidirect
911. #529	C₂²×C₅₃	semidirect
917. #501	C₂²×C₅₃	semidirect
918. #501	C₂²×C₅₃	semidirect
919. #501	C₂²×C₅₃	semidirect
920. #501	C₂²×C₅₃	semidirect
921. #500	C₂²×C₅₃	semidirect
922. #499	C₂²×C₅₃	semidirect
924. #489	C₂²×C₅₃	semidirect
925. #489	C₂²×C₅₃	semidirect
926. #489	C₂²×C₅₃	semidirect
927. #488	C₂²×C₅₃	semidirect
929. #485	C₂²×C₅₃	semidirect
930. #485	C₂²×C₅₃	semidirect
931. #484	C₂²×C₅₃	semidirect
932. #484	C₂²×C₅₃	semidirect
933. #483	C₂²×C₅₃	semidirect
934. #483	C₂²×C₅₃	semidirect
935. #483	C₂²×C₅₃	semidirect
937. #482	C₂²×C₅₃	semidirect
938. #482	C₂²×C₅₃	semidirect
939. #482	C₂²×C₅₃	semidirect
940. #481	C₂²×C₅₃	semidirect
944. #480	C₂²×C₅₃	semidirect
945. #480	C₂²×C₅₃	semidirect
946. #480	C₂²×C₅₃	semidirect
947. #479	C₂²×C₅₃	semidirect
948. #479	C₂²×C₅₃	semidirect
949. #479	C₂²×C₅₃	semidirect
950. #479	C₂²×C₅₃	semidirect
954. #478	C₂²×C₅₃	semidirect
955. #478	C₂²×C₅₃	semidirect
956. #478	C₂²×C₅₃	semidirect
957. #478	C₂²×C₅₃	semidirect
958. #478	C₂²×C₅₃	semidirect
959. #477	C₂²×C₅₃	semidirect
960. #477	C₂²×C₅₃	semidirect
961. #477	C₂²×C₅₃	semidirect
962. #477	C₂²×C₅₃	semidirect
964. #476	C₂²×C₅₃	semidirect
965. #476	C₂²×C₅₃	semidirect
971. #474	C₂²×C₅₃	semidirect
972. #474	C₂²×C₅₃	semidirect
973. #474	C₂²×C₅₃	semidirect
974. #474	C₂²×C₅₃	semidirect
975. #474	C₂²×C₅₃	semidirect
976. #474	C₂²×C₅₃	semidirect
977. #469	C₂²×C₅₃	semidirect
979. #468	C₂²×C₅₃	semidirect
980. #468	C₂²×C₅₃	semidirect
981. #467	C₂²×C₅₃	semidirect
982. #467	C₂²×C₅₃	semidirect
985. #466	C₂²×C₅₃	semidirect
987. #465	C₂²×C₅₃	semidirect
988. #465	C₂²×C₅₃	semidirect
989. #464	C₂²×C₅₃	semidirect
990. #464	C₂²×C₅₃	semidirect
991. #464	C₂²×C₅₃	semidirect
993. #463	C₂²×C₅₃	semidirect
994. #463	C₂²×C₅₃	semidirect
995. #463	C₂²×C₅₃	semidirect
996. #463	C₂²×C₅₃	semidirect
1005. #446	C₂²×C₅₃	semidirect
1006. #446	C₂²×C₅₃	semidirect
1009. #442	C₂²×C₅₃	semidirect
1012. #440	C₂²×C₅₃	semidirect
1013. #440	C₂²×C₅₃	semidirect
1014. #440	C₂²×C₅₃	semidirect
1015. C₄×Q₁₆	C₂²×C₅₃	semidirect
1018. C₄×D₈	C₂²×C₅₃	semidirect
1020. #435	C₂²×C₅₃	semidirect
1021. #435	C₂²×C₅₃	semidirect
1022. #435	C₂²×C₅₃	semidirect
1024. C₈×D₄	C₂²×C₅₃	semidirect
1025. #433	C₂²×C₅₃	semidirect
1026. #433	C₂²×C₅₃	semidirect
1027. #432	C₂²×C₅₃	semidirect
1028. #428	C₂²×C₅₃	semidirect
1029. #428	C₂²×C₅₃	semidirect
1030. #427	C₂²×C₅₃	semidirect
1031. C₂×#107	C₂²×C₅₃	semidirect
1032. C₂×#107	C₂²×C₅₃	semidirect
1033. C₂×#107	C₂²×C₅₃	semidirect
1034. #424	C₂²×C₅₃	semidirect
1035. #424	C₂²×C₅₃	semidirect
1036. C₂×C₄⋊C₈	C₂²×C₅₃	semidirect
1043. C₅₃	#62155	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×#3544	2
C₅₃×#3513	2
C₅₃×#3389	2
C₅₃×#3385	2
C₅₃×#3375	2
C₅₃×#3370	2
C₅₃×#3347	2
C₅₃×#3346	2
C₅₃×#3343	2
C₅₃×#3336	2
C₅₃×#3334	2
C₅₃×#3319	2
C₅₃×#3314	2
C₅₃×#3310	2
C₅₃×#3306	2
C₅₃×#3296	2
C₅₃×#3294	2
C₅₃×#3262	2
C₅₃×#3257	2
C₅₃×#3250	2
C₅₃×#3243	2
C₅₃×#3241	2
C₅₃×#3238	2
C₅₃×#3124	2
C₅₃×#3118	2
C₅₃×#3114	2
C₅₃×#3083	2
C₅₃×#3081	2
C₂×C₅₃×#474	2
C₅₃×#2992	2
#62155	53

Subgroups — C53×#62155 #27269667

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#62155 #27269667