Subgroups — #28292969

Order 13568.

8650 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289048	C₂	1	1	yes	maximal, characteristic, complemented
2	#20289045	C₂	1	2	yes	maximal, complemented
3	#20289044	C₂	1	4	yes	maximal, complemented
4	#20289043	C₂	1	8	yes	maximal, complemented
5	#20289042	C₂	1	4	yes	maximal, complemented
6	#20289041	C₂	1	4	yes	maximal, complemented
7	#20288588	C₂	1	2	yes	maximal, complemented
8	#20288587	C₂	1	4	yes	maximal, complemented
9	#20288585	C₂	1	2	yes	maximal, complemented
10	#20288583	C₂	1	4	yes	maximal, complemented
11	#20288492	C₂	1	2	yes	maximal, complemented
12	#20288490	C₂	1	4	yes	maximal, complemented
13	#20288487	C₂	1	4	yes	maximal, complemented
14	#20288487	C₂	1	2	yes	maximal, complemented
15	#20288347	C₂	1	4	yes	maximal, complemented
16	#20288345	C₂	1	4	yes	maximal, complemented
17	#20288343	C₂	1	4	yes	maximal, complemented
18	#20288009	C₂	1	2	yes	maximal, complemented
19	C₂×#127×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#13133263	C₂²	1	4	yes	complemented
22	C₂×#13133262	C₂²	1	4	yes	complemented
23	C₂×#13133262	C₂²	1	4	yes	complemented
24	C₂²×D₄×D₅₃	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
26	#16811364	C₂²	1	8	yes	complemented
27	#16811363	C₂²	1	4	yes	complemented
28	#16811362	C₂²	1	4	yes	complemented
29	#16811361	C₂²	1	8	yes	complemented
30	#16811360	C₂²	1	4	yes	complemented
31	#16811359	C₂²	1	1	yes	characteristic, complemented
32	#16811358	C₂²	1	2	yes	complemented
33	#16811357	C₂²	1	4	yes	complemented
34	#16811357	C₂²	1	8	yes	complemented
35	#16811356	C₂²	1	4	yes	complemented
36	#16811355	C₂²	1	4	yes	complemented
37	#16811295	C₂²	1	2	yes	complemented
38	#16811294	C₂²	1	4	yes	complemented
39	#16811294	C₂²	1	2	yes	complemented
40	#16811293	C₂²	1	2	yes	complemented
41	#16811293	C₂²	1	4	yes	complemented
42	#16811292	C₂²	1	4	yes	complemented
43	#16811291	C₂²	1	8	yes	complemented
44	#16811291	C₂²	1	8	yes	complemented
45	#16811291	C₂²	1	8	yes	complemented
46	#16811291	C₂²	1	4	yes	complemented
47	#16811270	C₂²	1	4	yes	complemented
48	#16811269	C₂²	1	4	yes	complemented
49	#16811268	C₂²	1	4	yes	complemented
50	#16811267	C₂²	1	4	yes	complemented
51	#16811266	C₂²	1	4	yes	complemented
52	#16811265	C₂²	1	8	yes	complemented
53	#16811265	C₂²	1	8	yes	complemented
54	#16811265	C₂²	1	8	yes	complemented
55	#16811264	C₂²	1	4	yes	complemented
56	#16811263	C₂²	1	8	yes	complemented
57	#16811262	C₂²	1	8	yes	complemented
58	#16811262	C₂²	1	8	yes	complemented
59	#16811262	C₂²	1	8	yes	complemented
60	#16811261	C₂²	1	4	yes	complemented
61	#16811260	C₂²	1	8	yes	complemented
62	D₄×D₂₁₂	C₂²	1	4	yes	complemented
63	D₄×D₂₁₂	C₂²	1	4	yes	complemented
64	D₄×D₂₁₂	C₂²	1	2	yes	complemented
65	#16811258	C₂²	1	1	yes	characteristic, complemented
66	#16811258	C₂²	1	4	yes	complemented
67	#16811257	C₂²	1	4	yes	complemented
68	#16811257	C₂²	1	4	yes	complemented
69	#16811257	C₂²	1	8	yes	complemented
70	#16811257	C₂²	1	8	yes	complemented
71	#16811257	C₂²	1	8	yes	complemented
72	#16811257	C₂²	1	4	yes	complemented
73	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
74	D₄×C₂²⋊D₅₃	C₂²	1	8	yes	complemented
75	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
76	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
77	#16811255	C₂²	1	8	yes	complemented
78	#16811255	C₂²	1	8	yes	complemented
79	#16811255	C₂²	1	8	yes	complemented
80	#16811255	C₂²	1	8	yes	complemented
81	#16811255	C₂²	1	4	yes	complemented
82	#16811255	C₂²	1	8	yes	complemented
83	#16811229	C₂²	1	4	yes	complemented
84	#16811228	C₂²	1	4	yes	complemented
85	#16811227	C₂²	1	4	yes	complemented
86	#16811225	C₂²	1	8	yes	complemented
87	#16811225	C₂²	1	8	yes	complemented
88	#16811223	C₂²	1	8	yes	complemented
89	#16811223	C₂²	1	8	yes	complemented
90	#16811192	C₂²	1	4	yes	complemented
91	#16811191	C₂²	1	4	yes	complemented
92	#16811191	C₂²	1	4	yes	complemented
93	#16811189	C₂²	1	4	yes	complemented
94	#16811189	C₂²	1	4	yes	complemented
95	#16811189	C₂²	1	8	yes	complemented
96	#16811189	C₂²	1	8	yes	complemented
97	#16811188	C₂²	1	8	yes	complemented
98	#16811188	C₂²	1	8	yes	complemented
99	#16811188	C₂²	1	8	yes	complemented
100	#16811186	C₂²	1	4	yes	complemented
101	#16811186	C₂²	1	4	yes	complemented
102	#16811184	C₂²	1	8	yes	complemented
103	#16811184	C₂²	1	8	yes	complemented
104	#16811183	C₂²	1	8	yes	complemented
105	#16811182	C₂²	1	4	yes	complemented
106	#16811181	C₂²	1	8	yes	complemented
107	#16811181	C₂²	1	8	yes	complemented
108	#16811179	C₂²	1	2	yes	complemented
109	#16811177	C₂²	1	2	yes	complemented
110	#16811175	C₂²	1	2	yes	complemented
111	#16811172	C₂²	1	2	yes	complemented
112	#16811172	C₂²	1	4	yes	complemented
113	#16811170	C₂²	1	2	yes	complemented
114	#16811170	C₂²	1	4	yes	complemented
115	#16811170	C₂²	1	4	yes	complemented
116	#16811169	C₂²	1	4	yes	complemented
117	#16811168	C₂²	1	2	yes	complemented
118	#16811168	C₂²	1	4	yes	complemented
119	#16811168	C₂²	1	4	yes	complemented
120	C₂×#13133214	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133213	C₂²	1	2	yes	complemented
122	C₂×#13133213	C₂²	1	4	yes	complemented
123	C₂×#13133213	C₂²	1	4	yes	complemented
124	#127×D₅₃	C₂²	1	4	yes	complemented
125	#127×D₅₃	C₂²	1	4	yes	complemented
126	#127×D₅₃	C₂²	1	2	yes	complemented
127	#127×D₅₃	C₂²	1	4	yes	complemented
128	#127×D₅₃	C₂²	1	2	yes	complemented
129	#127×D₅₃	C₂²	1	4	yes	complemented
130	#16811158	C₂²	1	2	yes	complemented
131	#16811157	C₂²	1	2	yes	complemented
132	#16811156	C₂²	1	4	yes	complemented
133	#16811156	C₂²	1	4	yes	complemented
134	#16811152	C₂²	1	2	yes	complemented
135	#16811151	C₂²	1	4	yes	complemented
136	#16811150	C₂²	1	4	yes	complemented
137	#16811136	C₂²	1	2	yes	complemented
138	#16811133	C₂²	1	2	yes	complemented
139	#16811132	C₂²	1	4	yes	complemented
140	#16811131	C₂²	1	4	yes	complemented
141	C₂×#13133187	C₂²	1	4	yes	complemented
142	C₂×#13133185	C₂²	1	4	yes	complemented
143	#120×D₅₃	C₂²	1	8	yes	complemented
144	#16811096	C₂²	1	4	yes	complemented
145	#16811095	C₂²	1	4	yes	complemented
146	#16811095	C₂²	1	4	yes	complemented
147	C₄×#11719949	C₂²	1	2	yes	complemented
148	#16811091	C₂²	1	4	yes	complemented
149	C₄×#11719947	C₂²	1	4	yes	complemented
150	C₄×#11719947	C₂²	1	2	yes	complemented
151	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
152	C₅₃×#560	C₂²	1	4	yes	complemented
153	C₅₃×#559	C₂²	1	1	yes	characteristic, complemented
154	C₅₃×#550	C₂²	1	2	yes	complemented
155	C₅₃×#546	C₂²	1	4	yes	complemented
156	D₄²×C₅₃	C₂²	1	4	yes	complemented
157	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
158	C₅₃×#540	C₂²	1	4	yes	complemented
159	C₅₃×#535	C₂²	1	4	yes	complemented
160	C₅₃×#534	C₂²	1	4	yes	complemented
161	C₂×#127×C₅₃	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#529	C₂²	1	2	yes	complemented
163	C₂⁴×D₅₃	C₂³	1	4	yes	—
164	#13133263	—	4	16	no	—
165	#13133262	—	4	16	no	—
166	#13133262	—	4	16	no	—
167	C₂×#11719949	C₂³	1	2	yes	—
168	C₂×#11719949	C₂³	1	4	yes	complemented
169	C₂×#11719945	C₂³	1	4	yes	—
170	C₂×#11719945	C₂³	1	8	yes	complemented
171	C₂×#11719945	C₂³	1	8	yes	complemented
172	C₂×#11719945	C₂³	1	4	yes	complemented
173	C₂×#11719947	C₂³	1	4	yes	—
174	C₂×#11719947	C₂³	1	2	yes	—
175	C₂×#11719947	C₂³	1	4	yes	complemented
176	C₂×#11719947	C₂³	1	8	yes	complemented
177	C₂×#11719947	C₂³	1	8	yes	complemented
178	C₂²×D₂₁₂	C₂³	1	4	yes	—
179	C₂²×D₂₁₂	C₂³	1	8	yes	—
180	C₂²×D₂₁₂	C₂³	1	2	yes	—
181	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
182	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
183	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
184	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
185	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
186	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
187	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
188	C₂×D₄×D₅₃	—	4	16	no	—
189	C₂×D₄×D₅₃	—	4	8	no	—
190	C₂×D₄×D₅₃	C₂³	1	4	yes	—
191	C₂×D₄×D₅₃	C₂³	1	4	yes	—
192	C₂×D₄×D₅₃	C₂³	1	4	yes	—
193	C₂×D₄×D₅₃	C₂³	1	8	yes	—
194	C₂×D₄×D₅₃	C₂³	1	8	yes	—
195	C₂×D₄×D₅₃	C₂³	1	4	yes	—
196	C₂×D₄×D₅₃	C₂³	1	4	yes	—
197	C₂×D₄×D₅₃	C₂³	1	8	yes	—
198	C₂×D₄×D₅₃	C₂³	1	8	yes	—
199	C₂×D₄×D₅₃	C₂³	1	8	yes	—
200	C₂×D₄×D₅₃	C₂³	1	8	yes	—
201	C₂×D₄×D₅₃	C₂³	1	4	yes	—
202	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
203	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
204	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
205	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
206	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
208	#13133216	C₂³	1	2	yes	complemented
209	#13133216	C₂³	1	2	yes	complemented
210	#13133215	C₂³	1	2	yes	complemented
211	#13133214	C₂³	1	2	yes	—
212	#13133214	C₂³	1	2	yes	—
213	#13133214	C₂³	1	4	yes	—
214	#13133214	C₂³	1	4	yes	complemented
215	#13133213	C₂³	1	8	yes	—
216	#13133213	C₂³	1	4	yes	—
217	#13133213	C₂³	1	4	yes	—
218	#13133213	C₂³	1	4	yes	—
219	#13133213	C₂³	1	4	yes	—
220	#13133213	C₂³	1	4	yes	—
221	#13133213	C₂³	1	4	yes	—
222	#13133213	C₂³	1	4	yes	—
223	#13133213	C₂³	1	8	yes	—
224	#13133213	C₂³	1	4	yes	—
225	#13133213	C₂³	1	8	yes	complemented
226	#13133213	C₂³	1	8	yes	complemented
227	#13133213	C₂³	1	8	yes	complemented
228	#13133213	C₂³	1	8	yes	complemented
229	#13133213	C₂³	1	4	yes	complemented
230	#13133213	C₂³	1	4	yes	complemented
231	#13133213	C₂³	1	2	yes	complemented
232	#13133212	C₂³	1	4	yes	complemented
233	#13133211	C₂³	1	4	yes	complemented
234	#13133210	C₂³	1	4	yes	complemented
235	#13133209	C₂³	1	2	yes	complemented
236	#13133207	C₂³	1	4	yes	complemented
237	#13133207	C₂³	1	4	yes	complemented
238	#13133206	C₂³	1	4	yes	complemented
239	#13133205	C₂³	1	4	yes	complemented
240	#13133205	C₂³	1	2	yes	complemented
241	#13133204	C₂³	1	4	yes	complemented
242	#13133203	C₂³	1	8	yes	complemented
243	#13133203	C₂³	1	8	yes	complemented
244	#13133203	C₂³	1	8	yes	complemented
245	#13133203	C₂³	1	8	yes	complemented
246	#13133203	C₂³	1	4	yes	complemented
247	#13133203	C₂³	1	4	yes	complemented
248	#13133202	C₂³	1	4	yes	—
249	#13133202	C₂³	1	4	yes	—
250	#13133202	C₂³	1	8	yes	complemented
251	#13133202	C₂³	1	8	yes	complemented
252	#13133202	C₂³	1	8	yes	complemented
253	#13133202	C₂³	1	8	yes	complemented
254	#13133201	C₂³	1	8	yes	complemented
255	#13133200	C₂³	1	4	yes	—
256	#13133200	C₂³	1	8	yes	complemented
257	#13133199	C₂³	1	4	yes	—
258	#13133199	C₂³	1	4	yes	—
259	#13133199	C₂³	1	8	yes	complemented
260	#13133199	C₂³	1	8	yes	complemented
261	#13133198	C₂³	1	8	yes	complemented
262	#13133198	C₂³	1	4	yes	complemented
263	#13133198	C₂³	1	4	yes	complemented
264	#13133197	C₂³	1	2	yes	—
265	#13133196	C₂³	1	2	yes	—
266	#13133195	C₂³	1	4	yes	—
267	#13133195	C₂³	1	4	yes	—
268	#13133195	C₂³	1	4	yes	—
269	#13133194	C₂³	1	4	yes	—
270	#13133193	C₂³	1	2	yes	—
271	#13133192	C₂³	1	2	yes	—
272	#13133192	C₂³	1	8	yes	complemented
273	#13133192	C₂³	1	4	yes	complemented
274	#13133192	C₂³	1	8	yes	complemented
275	#13133192	C₂³	1	8	yes	complemented
276	#13133192	C₂³	1	8	yes	complemented
277	#13133192	C₂³	1	4	yes	complemented
278	#13133191	C₂³	1	2	yes	—
279	#13133191	C₂³	1	8	yes	complemented
280	#13133191	C₂³	1	4	yes	complemented
281	#13133191	C₂³	1	8	yes	complemented
282	#13133191	C₂³	1	4	yes	complemented
283	#13133190	C₂³	1	4	yes	—
284	#13133190	C₂³	1	4	yes	—
285	#13133190	C₂³	1	4	yes	—
286	#13133190	C₂³	1	8	yes	complemented
287	#13133190	C₂³	1	8	yes	complemented
288	#13133190	C₂³	1	8	yes	complemented
289	#13133190	C₂³	1	8	yes	complemented
290	#13133190	C₂³	1	8	yes	complemented
291	#13133190	C₂³	1	8	yes	complemented
292	#13133190	C₂³	1	8	yes	complemented
293	#13133190	C₂³	1	8	yes	complemented
294	#13133190	C₂³	1	8	yes	complemented
295	#13133190	C₂³	1	8	yes	complemented
296	#13133189	C₂³	1	4	yes	—
297	#13133189	C₂³	1	8	yes	complemented
298	#13133189	C₂³	1	8	yes	complemented
299	#13133189	C₂³	1	8	yes	complemented
300	#13133189	C₂³	1	8	yes	complemented
301	#13133189	C₂³	1	8	yes	complemented
302	#13133189	C₂³	1	8	yes	complemented
303	#13133189	C₂³	1	8	yes	complemented
304	#13133189	C₂³	1	8	yes	complemented
305	#13133189	C₂³	1	8	yes	complemented
306	#13133189	C₂³	1	8	yes	complemented
307	#13133188	C₂³	1	2	yes	—
308	#13133188	C₂³	1	4	yes	complemented
309	#13133188	C₂³	1	4	yes	complemented
310	#13133188	C₂³	1	8	yes	complemented
311	#13133188	C₂³	1	8	yes	complemented
312	#13133187	C₂³	1	8	yes	—
313	#13133187	C₂³	1	8	yes	—
314	#13133187	C₂³	1	8	yes	—
315	#13133187	C₂³	1	8	yes	—
316	#13133187	C₂³	1	8	yes	—
317	#13133187	C₂³	1	4	yes	—
318	#13133187	C₂³	1	8	yes	complemented
319	#13133187	C₂³	1	8	yes	complemented
320	#13133187	C₂³	1	8	yes	complemented
321	#13133187	C₂³	1	8	yes	complemented
322	#13133187	C₂³	1	8	yes	complemented
323	#13133186	C₂³	1	8	yes	—
324	#13133186	C₂³	1	8	yes	complemented
325	#13133185	C₂³	1	8	yes	—
326	#13133185	C₂³	1	8	yes	—
327	#13133185	C₂³	1	4	yes	—
328	#13133185	C₂³	1	8	yes	—
329	#13133185	C₂³	1	8	yes	—
330	#13133185	C₂³	1	8	yes	—
331	#13133185	C₂³	1	4	yes	complemented
332	#13133185	C₂³	1	8	yes	complemented
333	#13133185	C₂³	1	8	yes	complemented
334	#13133185	C₂³	1	8	yes	complemented
335	#13133185	C₂³	1	4	yes	complemented
336	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
337	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
338	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
339	#13133182	C₂³	1	2	yes	complemented
340	#13133182	C₂³	1	4	yes	complemented
341	#13133182	C₂³	1	4	yes	complemented
342	#13133182	C₂³	1	4	yes	complemented
343	C₄×D₂₁₂	C₂³	1	4	yes	—
344	C₄×D₂₁₂	C₂³	1	4	yes	complemented
345	C₄×D₂₁₂	C₂³	1	4	yes	complemented
346	C₄×D₂₁₂	C₂³	1	2	yes	complemented
347	D₄×Dic₅₃	C₂³	1	4	yes	—
348	D₄×Dic₅₃	C₂³	1	4	yes	complemented
349	D₄×Dic₅₃	C₂³	1	2	yes	complemented
350	D₄×Dic₅₃	C₂³	1	4	yes	complemented
351	#13133179	C₂³	1	4	yes	—
352	#13133179	C₂³	1	4	yes	—
353	#13133179	C₂³	1	4	yes	—
354	#13133179	C₂³	1	4	yes	complemented
355	#13133179	C₂³	1	4	yes	complemented
356	#13133179	C₂³	1	2	yes	complemented
357	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
358	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
359	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
360	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
361	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
362	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
363	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
364	#13133177	C₂³	1	4	yes	—
365	#13133177	C₂³	1	4	yes	—
366	#13133177	C₂³	1	4	yes	—
367	#13133177	C₂³	1	4	yes	—
368	#13133177	C₂³	1	8	yes	complemented
369	#13133177	C₂³	1	8	yes	complemented
370	#13133177	C₂³	1	8	yes	complemented
371	#13133177	C₂³	1	4	yes	complemented
372	#13133177	C₂³	1	4	yes	complemented
373	#13133177	C₂³	1	4	yes	complemented
374	#13133177	C₂³	1	8	yes	complemented
375	#13133175	C₂³	1	2	yes	—
376	#13133175	C₂³	1	2	yes	—
377	#13133175	C₂³	1	4	yes	complemented
378	#13133175	C₂³	1	4	yes	complemented
379	#13133174	C₂³	1	4	yes	—
380	#13133174	C₂³	1	4	yes	complemented
381	#13133173	C₂³	1	4	yes	—
382	#13133173	C₂³	1	4	yes	complemented
383	#13133173	C₂³	1	4	yes	complemented
384	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
385	C₂×#11719921	C₂³	1	8	yes	—
386	C₂×#11719921	C₂³	1	8	yes	—
387	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
388	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
389	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
390	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
391	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
393	C₄²×D₅₃	C₂³	1	2	yes	—
394	C₄²×D₅₃	C₂³	1	2	yes	—
395	C₄²×D₅₃	C₂³	1	2	yes	—
396	C₄²×D₅₃	C₂³	1	2	yes	—
397	C₄²×D₅₃	C₂³	1	4	yes	complemented
398	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
399	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
400	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
401	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
402	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
403	#127×C₅₃	C₂³	1	1	yes	characteristic
404	#127×C₅₃	C₂³	1	4	yes	—
405	#127×C₅₃	C₂³	1	1	yes	characteristic
406	#127×C₅₃	C₂³	1	2	yes	—
407	#127×C₅₃	C₂³	1	4	yes	complemented
408	#126×C₅₃	C₂³	1	4	yes	complemented
409	#125×C₅₃	C₂³	1	2	yes	complemented
410	#124×C₅₃	C₂³	1	4	yes	complemented
411	#124×C₅₃	C₂³	1	2	yes	complemented
412	#123×C₅₃	C₂³	1	4	yes	—
413	#123×C₅₃	C₂³	1	4	yes	complemented
414	#123×C₅₃	C₂³	1	4	yes	complemented
415	#123×C₅₃	C₂³	1	8	yes	complemented
416	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
417	#121×C₅₃	C₂³	1	2	yes	—
418	#121×C₅₃	C₂³	1	4	yes	complemented
419	#121×C₅₃	C₂³	1	8	yes	complemented
420	#121×C₅₃	C₂³	1	8	yes	complemented
421	#121×C₅₃	C₂³	1	4	yes	complemented
422	#121×C₅₃	C₂³	1	8	yes	complemented
423	#121×C₅₃	C₂³	1	8	yes	complemented
424	#120×C₅₃	C₂³	1	8	yes	—
425	#120×C₅₃	C₂³	1	4	yes	complemented
426	#120×C₅₃	C₂³	1	4	yes	complemented
427	#120×C₅₃	C₂³	1	8	yes	complemented
428	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
429	C₄×D₄×C₅₃	C₂³	1	4	yes	—
430	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
431	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
432	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
433	#117×C₅₃	C₂³	1	4	yes	complemented
434	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
435	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
436	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
437	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
438	C₂³×D₅₃	—	4	16	no	—
439	C₂³×D₅₃	—	4	8	no	—
440	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
441	C₂³×D₅₃	C₂⁴	1	4	yes	—
442	C₂³×D₅₃	C₂⁴	1	8	yes	—
443	C₂³×D₅₃	C₂⁴	1	8	yes	—
444	C₂³×D₅₃	C₂⁴	1	4	yes	—
445	C₂³×D₅₃	C₂⁴	1	8	yes	—
446	#41×C₅₃	—	4	8	no	—
447	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
448	C₂×D₄×C₅₃	—	4	8	no	—
449	C₂×D₄×C₅₃	—	4	8	no	—
450	C₂×D₄×C₅₃	—	4	4	no	—
451	C₂×D₄×C₅₃	—	4	8	no	—
452	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
453	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
454	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
455	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
456	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
457	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
458	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
459	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
460	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
461	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
462	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
463	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
464	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
466	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	—
467	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
468	C₂×C₂²⋊D₅₃	—	2	16	no	—
469	C₂×C₂²⋊D₅₃	—	4	16	no	—
470	C₂×C₂²⋊D₅₃	—	4	16	no	—
471	C₂×C₂²⋊D₅₃	—	4	16	no	—
472	C₂×C₂²⋊D₅₃	—	4	16	no	—
473	C₂×C₂²⋊D₅₃	—	4	8	no	—
474	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
475	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
476	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
477	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
478	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
479	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
480	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
481	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
482	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
483	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
484	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
485	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
486	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
487	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
488	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
489	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
490	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
491	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
492	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
493	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
494	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
495	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
496	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
497	#11719949	—	2	8	no	—
498	#11719949	—	4	8	no	—
499	#11719947	—	2	16	no	—
500	#11719947	—	2	8	no	—
501	#11719947	—	4	8	no	—
502	#11719947	—	4	16	no	—
503	#11719947	—	4	16	no	—
504	D₄×D₅₃	—	2	16	no	—
505	D₄×D₅₃	—	2	16	no	—
506	D₄×D₅₃	—	4	8	no	—
507	D₄×D₅₃	—	4	8	no	—
508	D₄×D₅₃	—	4	8	no	—
509	D₄×D₅₃	—	4	8	no	—
510	D₄×D₅₃	—	4	16	no	—
511	D₄×D₅₃	—	4	8	no	—
512	D₄×D₅₃	—	4	16	no	—
513	D₄×D₅₃	—	4	8	no	—
514	D₄×D₅₃	—	4	16	no	—
515	D₄×D₅₃	—	4	16	no	—
516	D₄×D₅₃	—	4	16	no	—
517	D₄×D₅₃	—	4	16	no	—
518	D₄×D₅₃	—	4	16	no	—
519	D₄×D₅₃	—	4	16	no	—
520	#11719945	—	2	16	no	—
521	#11719945	—	4	16	no	—
522	#11719945	—	4	16	no	—
523	#11719945	—	4	8	no	—
524	C₂×D₂₁₂	—	4	8	no	—
525	C₂×D₂₁₂	—	4	8	no	—
526	C₂×D₂₁₂	—	4	16	no	—
527	C₂×D₂₁₂	—	4	4	no	—
528	C₂×D₂₁₂	C₂⁴	1	4	yes	—
529	C₂×D₂₁₂	C₂⁴	1	4	yes	—
530	C₂×D₂₁₂	C₂⁴	1	2	yes	—
531	C₂×D₂₁₂	C₂⁴	1	4	yes	—
532	C₂×D₂₁₂	C₂⁴	1	4	yes	—
533	C₂×D₂₁₂	C₂⁴	1	8	yes	—
534	C₂×D₂₁₂	C₂⁴	1	8	yes	—
535	C₂×D₂₁₂	C₂⁴	1	8	yes	—
536	C₂×D₂₁₂	C₂⁴	1	4	yes	—
537	C₂×D₂₁₂	C₂⁴	1	8	yes	—
538	C₂×D₂₁₂	C₂⁴	1	4	yes	—
539	C₂×C₄×D₅₃	—	2	4	no	—
540	C₂×C₄×D₅₃	—	2	8	no	—
541	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
542	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
543	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
544	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
545	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
546	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
547	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
548	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
549	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
550	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
551	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
552	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
553	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
554	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
555	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
556	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
557	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
558	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
559	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
560	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
561	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
562	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
563	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
564	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
565	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
567	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
568	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
569	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
570	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
571	C₄²×C₅₃	C₂⁴	1	2	yes	—
572	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
573	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
574	C₄²×C₅₃	C₂⁴	1	4	yes	—
575	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
576	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
577	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
578	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
579	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
580	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
581	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
582	#11719921	C₂⁴	1	4	yes	—
583	#11719921	C₂⁴	1	4	yes	—
584	#11719921	C₂⁴	1	4	yes	—
585	#11719921	C₂⁴	1	4	yes	—
586	#11719921	C₂⁴	1	8	yes	—
587	#11719921	C₂⁴	1	8	yes	—
588	#11719921	C₂⁴	1	8	yes	—
589	#11719921	C₂⁴	1	8	yes	—
590	#11719921	C₂⁴	1	8	yes	—
591	#11719921	C₂⁴	1	8	yes	—
592	#11719921	C₂⁴	1	4	yes	—
593	#11719921	C₂⁴	1	4	yes	—
594	#11719921	C₂⁴	1	4	yes	—
595	#11719921	C₂⁴	1	4	yes	—
596	#11719921	C₂⁴	1	4	yes	—
597	#11719921	C₂⁴	1	4	yes	—
598	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
599	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
600	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
601	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
602	#11719919	C₂⁴	1	4	yes	—
603	#11719919	C₂⁴	1	4	yes	—
604	#11719919	C₂⁴	1	4	yes	—
605	#11719919	C₂⁴	1	4	yes	—
606	#11719919	C₂⁴	1	4	yes	—
607	#11719919	C₂⁴	1	4	yes	—
608	#11719919	C₂⁴	1	4	yes	—
609	#11719919	C₂⁴	1	4	yes	—
610	#11719919	C₂⁴	1	4	yes	—
611	#11719919	C₂⁴	1	4	yes	—
612	C₄×Dic₅₃	C₂⁴	1	2	yes	—
613	C₄×Dic₅₃	C₂⁴	1	2	yes	—
614	C₄×Dic₅₃	C₂⁴	1	2	yes	—
615	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
616	C₄×Dic₅₃	C₂⁴	1	2	yes	—
617	C₄×Dic₅₃	C₂⁴	1	2	yes	—
618	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
619	C₄×Dic₅₃	C₂⁴	1	4	yes	—
620	C₄×Dic₅₃	C₂⁴	1	4	yes	—
621	C₄×Dic₅₃	C₂⁴	1	4	yes	—
622	C₄×Dic₅₃	C₂⁴	1	4	yes	—
623	C₄×Dic₅₃	C₂⁴	1	4	yes	—
624	C₂³×C₅₃	—	2	8	no	—
625	C₂³×C₅₃	—	4	8	no	—
626	C₂³×C₅₃	—	4	4	no	—
627	C₂³×C₅₃	—	4	8	no	—
628	C₂³×C₅₃	C₂⁵	1	4	yes	—
629	C₂³×C₅₃	C₂⁵	1	4	yes	—
630	C₂³×C₅₃	C₂⁵	1	4	yes	—
631	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
632	C₂²×D₅₃	—	2	2	no	—
633	C₂²×D₅₃	—	2	4	no	—
634	C₂²×D₅₃	—	2	8	no	—
635	C₂²×D₅₃	—	2	16	no	—
636	C₂²×D₅₃	—	2	16	no	—
637	C₂²×D₅₃	—	4	8	no	—
638	C₂²×D₅₃	—	4	8	no	—
639	C₂²×D₅₃	—	4	8	no	—
640	C₂²×D₅₃	—	4	8	no	—
641	C₂²×D₅₃	—	4	8	no	—
642	C₂²×D₅₃	—	4	8	no	—
643	C₂²×D₅₃	—	4	8	no	—
644	C₂²×D₅₃	—	4	8	no	—
645	C₂²×D₅₃	—	4	4	no	—
646	C₂²×D₅₃	—	4	8	no	—
647	C₂²×D₅₃	—	8	32	no	—
648	C₂²×D₅₃	C₂⁵	1	4	yes	—
649	C₂²×D₅₃	C₂⁵	1	8	yes	—
650	C₂²×D₅₃	C₂⁵	1	2	yes	—
651	Q₈×C₅₃	—	2	4	no	—
652	D₄×C₅₃	—	2	8	no	—
653	D₄×C₅₃	—	2	8	no	—
654	D₄×C₅₃	—	2	8	no	—
655	D₄×C₅₃	—	2	4	no	—
656	D₄×C₅₃	—	4	2	no	—
657	D₄×C₅₃	—	4	4	no	—
658	D₄×C₅₃	—	4	8	no	—
659	D₄×C₅₃	—	4	2	no	—
660	D₄×C₅₃	—	4	8	no	—
661	D₄×C₅₃	—	4	8	no	—
662	D₄×C₅₃	—	4	8	no	—
663	C₂×C₄×C₅₃	—	2	2	no	—
664	C₂×C₄×C₅₃	—	2	4	no	—
665	C₂×C₄×C₅₃	—	2	8	no	—
666	C₂×C₄×C₅₃	—	4	8	no	—
667	C₂×C₄×C₅₃	—	4	4	no	—
668	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
669	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
670	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
671	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
672	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
673	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
674	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
675	C₂²⋊D₅₃	—	2	8	no	—
676	C₂²⋊D₅₃	—	2	8	no	—
677	C₂²⋊D₅₃	—	2	8	no	—
678	C₂²⋊D₅₃	—	2	8	no	—
679	C₂²⋊D₅₃	—	2	16	no	—
680	C₂²⋊D₅₃	—	2	16	no	—
681	C₂²⋊D₅₃	—	2	16	no	—
682	C₂²⋊D₅₃	—	2	16	no	—
683	C₂²⋊D₅₃	—	2	8	no	—
684	C₂²⋊D₅₃	—	4	8	no	—
685	C₂²⋊D₅₃	—	4	8	no	—
686	C₂²⋊D₅₃	—	4	8	no	—
687	C₂²⋊D₅₃	—	4	8	no	—
688	C₂²⋊D₅₃	—	4	8	no	—
689	C₂²⋊D₅₃	—	4	8	no	—
690	C₂²⋊D₅₃	—	4	8	no	—
691	C₂²⋊D₅₃	—	4	8	no	—
692	C₂×Dic₅₃	—	2	4	no	—
693	C₂×Dic₅₃	—	2	8	no	—
694	C₂×Dic₅₃	—	2	8	no	—
695	C₂×Dic₅₃	—	4	8	no	—
696	C₂×Dic₅₃	—	4	4	no	—
697	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	complemented
698	C₂×Dic₅₃	C₂⁵	1	4	yes	—
699	C₂×Dic₅₃	C₂⁵	1	4	yes	—
700	C₂×Dic₅₃	C₂⁵	1	4	yes	—
701	C₂×Dic₅₃	C₂⁵	1	2	yes	—
702	C₂×Dic₅₃	C₂⁵	1	2	yes	—
703	C₂×Dic₅₃	C₂⁵	1	2	yes	—
704	D₂₁₂	—	2	8	no	—
705	D₂₁₂	—	2	8	no	—
706	D₂₁₂	—	2	8	no	—
707	D₂₁₂	—	2	4	no	—
708	D₂₁₂	—	2	8	no	—
709	D₂₁₂	—	4	8	no	—
710	D₂₁₂	—	4	8	no	—
711	D₂₁₂	—	4	4	no	—
712	D₂₁₂	—	4	4	no	—
713	D₂₁₂	—	4	8	no	—
714	D₂₁₂	—	4	8	no	—
715	C₄×D₅₃	—	2	4	no	—
716	C₄×D₅₃	—	2	4	no	—
717	C₄×D₅₃	—	2	8	no	—
718	C₄×D₅₃	—	2	4	no	—
719	C₄×D₅₃	—	2	4	no	—
720	C₄×D₅₃	—	2	4	no	—
721	C₄×D₅₃	—	2	8	no	—
722	C₄×D₅₃	—	2	8	no	—
723	C₄×D₅₃	—	4	8	no	—
724	C₄×D₅₃	—	4	8	no	—
725	C₄×D₅₃	—	4	8	no	—
726	C₄×D₅₃	H(5,𝔽₂)	1	8	yes	complemented
727	Dic₁₀₆	—	2	4	no	—
728	Dic₁₀₆	—	2	8	no	—
729	Dic₁₀₆	—	2	8	no	—
730	#62832	—	53	1	no	maximal, Sylow
731	C₂²×C₅₃	—	2	2	no	—
732	C₂²×C₅₃	—	2	4	no	—
733	C₂²×C₅₃	—	2	4	no	—
734	C₂²×C₅₃	—	2	4	no	—
735	C₂²×C₅₃	—	2	8	no	—
736	C₂²×C₅₃	—	2	4	no	—
737	C₂²×C₅₃	—	2	4	no	—
738	C₂²×C₅₃	—	2	8	no	—
739	C₂²×C₅₃	—	8	8	no	—
740	C₂²×C₅₃	—	16	4	no	—
741	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
742	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
743	C₂×D₅₃	—	2	8	no	—
744	C₂×D₅₃	—	2	2	no	—
745	C₂×D₅₃	—	2	2	no	—
746	C₂×D₅₃	—	2	4	no	—
747	C₂×D₅₃	—	2	4	no	—
748	C₂×D₅₃	—	2	4	no	—
749	C₂×D₅₃	—	2	8	no	—
750	C₂×D₅₃	—	2	8	no	—
751	C₂×D₅₃	—	2	8	no	—
752	C₂×D₅₃	—	8	16	no	—
753	C₂×D₅₃	—	8	16	no	—
754	C₂×D₅₃	—	8	8	no	—
755	C₂×D₅₃	—	16	8	no	—
756	C₂×D₅₃	—	16	4	no	—
757	C₂×D₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
758	C₄×C₅₃	—	2	4	no	—
759	C₄×C₅₃	—	2	4	no	—
760	C₄×C₅₃	—	2	2	no	—
761	C₄×C₅₃	—	2	1	no	—
762	C₄×C₅₃	—	2	1	no	—
763	C₄×C₅₃	—	2	4	no	—
764	C₄×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
765	Dic₅₃	—	2	4	no	—
766	Dic₅₃	—	2	4	no	—
767	Dic₅₃	—	2	4	no	—
768	Dic₅₃	—	2	2	no	—
769	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
770	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
771	#3543	—	53	8	no	—
772	#3543	—	53	4	no	—
773	#3543	—	53	4	no	—
774	#3543	—	53	4	no	—
775	#3543	—	53	1	no	—
776	#3543	—	53	2	no	—
777	#3543	D₅₃	1	1	yes	characteristic, complemented
778	#3508	—	53	2	no	—
779	#3508	—	53	2	no	—
780	#3508	—	53	4	no	—
781	#3508	—	53	4	no	—
782	#3498	—	53	2	no	—
783	#3498	—	53	4	no	—
784	#3498	—	53	2	no	—
785	#3498	—	53	4	no	—
786	#3484	—	53	4	no	—
787	#3484	—	53	4	no	—
788	#3484	—	53	4	no	—
789	#3444	—	53	2	no	—
790	C₂²×#127	—	53	1	no	—
791	C₂×C₅₃	—	2	2	no	—
792	C₂×C₅₃	—	4	4	no	—
793	C₂×C₅₃	—	4	4	no	—
794	C₂×C₅₃	—	4	4	no	—
795	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	2	yes	—
796	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
797	D₅₃	—	2	4	no	—
798	D₅₃	—	4	8	no	—
799	D₅₃	—	4	4	no	—
800	C₂×H(5,𝔽₂)	—	53	4	no	—
801	C₂×H(5,𝔽₂)	—	53	4	no	—
802	C₂×H(5,𝔽₂)	—	53	4	no	—
803	C₂³×D₄	—	53	2	no	—
804	C₂³×D₄	—	53	4	no	—
805	#560	—	53	4	no	—
806	#560	—	53	8	no	—
807	#560	—	53	4	no	—
808	#560	—	53	8	no	—
809	#560	—	53	4	no	—
810	#560	C₂×D₅₃	1	4	yes	complemented
811	#559	—	53	1	no	—
812	#559	—	53	4	no	—
813	#559	—	53	8	no	—
814	#559	—	53	4	no	—
815	#559	—	53	2	no	—
816	#559	—	53	4	no	—
817	#559	C₂×D₅₃	1	1	yes	characteristic, complemented
818	#550	—	53	4	no	—
819	#550	—	53	2	no	—
820	#550	—	53	4	no	—
821	#550	—	53	4	no	—
822	#550	—	53	8	no	—
823	#550	—	53	8	no	—
824	#550	—	53	8	no	—
825	#550	—	53	2	no	—
826	#550	—	53	4	no	—
827	#550	—	53	2	no	—
828	#550	C₂×D₅₃	1	2	yes	complemented
829	#546	—	53	4	no	—
830	#546	—	53	4	no	—
831	#546	—	53	4	no	—
832	#546	—	53	8	no	—
833	#546	—	53	8	no	—
834	#546	—	53	8	no	—
835	#546	—	53	4	no	—
836	#546	—	53	4	no	—
837	#546	—	53	8	no	—
838	#546	—	53	8	no	—
839	#546	—	53	8	no	—
840	#546	—	53	8	no	—
841	#546	—	53	4	no	—
842	#546	—	53	4	no	—
843	#546	—	53	8	no	—
844	#546	C₂×D₅₃	1	4	yes	complemented
845	D₄²	—	53	8	no	—
846	D₄²	—	53	4	no	—
847	D₄²	—	53	4	no	—
848	D₄²	—	53	4	no	—
849	D₄²	—	53	1	no	—
850	D₄²	—	53	4	no	—
851	D₄²	—	53	4	no	—
852	D₄²	—	53	4	no	—
853	D₄²	—	53	8	no	—
854	D₄²	—	53	8	no	—
855	D₄²	—	53	8	no	—
856	D₄²	—	53	4	no	—
857	D₄²	—	53	8	no	—
858	D₄²	—	53	8	no	—
859	D₄²	—	53	8	no	—
860	D₄²	—	53	8	no	—
861	D₄²	—	53	8	no	—
862	D₄²	—	53	4	no	—
863	D₄²	—	53	4	no	—
864	D₄²	—	53	4	no	—
865	D₄²	—	53	2	no	—
866	D₄²	C₂×D₅₃	1	4	yes	complemented
867	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
868	#540	—	53	4	no	—
869	#540	—	53	4	no	—
870	#540	—	53	8	no	—
871	#540	—	53	8	no	—
872	#540	—	53	8	no	—
873	#540	—	53	8	no	—
874	#540	—	53	4	no	—
875	#540	C₂×D₅₃	1	4	yes	complemented
876	#535	—	53	4	no	—
877	#535	—	53	4	no	—
878	#535	—	53	4	no	—
879	#535	—	53	4	no	—
880	#535	—	53	4	no	—
881	#535	—	53	4	no	—
882	#535	—	53	8	no	—
883	#535	—	53	8	no	—
884	#535	—	53	8	no	—
885	#535	—	53	8	no	—
886	#535	—	53	8	no	—
887	#535	—	53	4	no	—
888	#535	C₂×D₅₃	1	4	yes	complemented
889	#534	—	53	4	no	—
890	#534	—	53	8	no	—
891	#534	—	53	8	no	—
892	#534	—	53	8	no	—
893	#534	—	53	8	no	—
894	#534	—	53	8	no	—
895	#534	C₂×D₅₃	1	4	yes	complemented
896	#533	—	53	2	no	—
897	#533	—	53	2	no	—
898	#533	—	53	2	no	—
899	#532	—	53	4	no	—
900	#532	—	53	2	no	—
901	#532	—	53	4	no	—
902	#532	—	53	2	no	—
903	#532	—	53	4	no	—
904	#532	—	53	4	no	—
905	#532	—	53	2	no	—
906	#532	—	53	4	no	—
907	#532	—	53	4	no	—
908	C₂×#127	—	53	4	no	—
909	C₂×#127	—	53	2	no	—
910	C₂×#127	—	53	4	no	—
911	C₂×#127	—	53	2	no	—
912	C₂×#127	—	53	2	no	—
913	C₂×#127	—	53	4	no	—
914	C₂×#127	—	53	4	no	—
915	C₂×#127	—	53	4	no	—
916	C₂×#127	—	53	4	no	—
917	C₂×#127	—	53	1	no	—
918	C₂×#127	C₂×D₅₃	1	1	yes	characteristic, complemented
919	#529	—	53	4	no	—
920	#529	—	53	4	no	—
921	#529	—	53	2	no	—
922	#529	—	53	2	no	—
923	#529	—	53	4	no	—
924	#529	—	53	4	no	—
925	#529	—	53	2	no	—
926	#529	C₂×D₅₃	1	2	yes	complemented
927	#525	—	53	4	no	—
928	#525	—	53	2	no	—
929	#525	—	53	2	no	—
930	#525	—	53	4	no	—
931	C₂×#120	—	53	4	no	—
932	C₂×#120	—	53	8	no	—
933	C₂×#120	—	53	4	no	—
934	#518	—	53	4	no	—
935	#518	—	53	4	no	—
936	#518	—	53	4	no	—
937	C₄×#41	—	53	2	no	—
938	C₄×#41	—	53	4	no	—
939	C₄×#41	—	53	2	no	—
940	C₄×#41	—	53	4	no	—
941	C₂²×C₄²	—	53	1	no	—
942	C₅₃	#62832	1	1	yes	characteristic, complemented, Sylow
943	C₂⁵	—	53	4	no	—
944	H(5,𝔽₂)	—	212	16	no	—
945	H(5,𝔽₂)	—	212	16	no	—
946	H(5,𝔽₂)	—	212	16	no	—
947	C₂×#41	—	53	2	no	—
948	C₂×#41	—	53	4	no	—
949	C₂×#41	—	53	4	no	—
950	C₂×#41	—	53	2	no	—
951	C₂×#41	—	53	8	no	—
952	C₂×#41	—	53	8	no	—
953	C₂×#41	—	53	4	no	—
954	C₂×#41	—	53	4	no	—
955	C₂×#41	—	53	8	no	—
956	C₂×#41	—	53	8	no	—
957	C₂×#41	—	53	4	no	—
958	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
959	C₂²×D₄	—	53	4	no	—
960	C₂²×D₄	—	53	4	no	—
961	C₂²×D₄	—	53	8	no	—
962	C₂²×D₄	—	53	8	no	—
963	C₂²×D₄	—	53	8	no	—
964	C₂²×D₄	—	53	8	no	—
965	C₂²×D₄	—	53	4	no	—
966	C₂²×D₄	—	53	4	no	—
967	C₂²×D₄	—	53	8	no	—
968	C₂²×D₄	—	53	8	no	—
969	C₂²×D₄	—	53	8	no	—
970	C₂²×D₄	—	53	8	no	—
971	C₂²×D₄	—	53	4	no	—
972	C₂²×D₄	—	53	8	no	—
973	C₂²×D₄	—	53	8	no	—
974	C₂²×D₄	—	53	4	no	—
975	C₂²×D₄	—	53	4	no	—
976	C₂²×D₄	—	53	4	no	—
977	C₂²×D₄	—	53	8	no	—
978	C₂²×D₄	—	53	8	no	—
979	C₂²×D₄	—	53	4	no	—
980	C₂²×D₄	—	53	4	no	—
981	C₂²×D₄	—	53	8	no	—
982	C₂²×D₄	—	53	2	no	—
983	C₂²×D₄	—	53	4	no	—
984	C₂²×D₄	—	53	4	no	—
985	C₂²×D₄	—	212	16	no	—
986	C₂²×D₄	—	212	8	no	—
987	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
988	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
989	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
990	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
991	C₂³×C₄	—	53	1	no	—
992	C₂³×C₄	—	53	2	no	—
993	C₄⋊Q₈	—	53	2	no	—
994	C₄⋊Q₈	—	53	2	no	—
995	C₄⋊Q₈	—	53	2	no	—
996	#127	—	53	4	no	—
997	#127	—	53	4	no	—
998	#127	—	53	2	no	—
999	#127	—	53	4	no	—
1000	#127	—	53	8	no	—
1001	#127	—	53	4	no	—
1002	#127	—	53	8	no	—
1003	#127	—	53	4	no	—
1004	#127	—	53	4	no	—
1005	#127	—	53	4	no	—
1006	#127	—	53	4	no	—
1007	#127	—	53	8	no	—
1008	#127	—	53	8	no	—
1009	#127	—	53	8	no	—
1010	#127	—	53	8	no	—
1011	#127	—	53	4	no	—
1012	#127	—	53	4	no	—
1013	#127	—	53	4	no	—
1014	#127	—	53	2	no	—
1015	#127	—	53	2	no	—
1016	#127	—	53	4	no	—
1017	#127	C₂²×D₅₃	1	4	yes	—
1018	#127	C₂²×D₅₃	1	1	yes	characteristic
1019	#127	C₂²×D₅₃	1	1	yes	characteristic
1020	#127	C₂²×D₅₃	1	2	yes	—
1021	#127	C₂²×D₅₃	1	4	yes	complemented
1022	#126	—	53	4	no	—
1023	#126	—	53	4	no	—
1024	#126	—	53	4	no	—
1025	#126	C₂²×D₅₃	1	4	yes	complemented
1026	#125	—	53	4	no	—
1027	#125	—	53	4	no	—
1028	#125	—	53	2	no	—
1029	#125	C₂²×D₅₃	1	2	yes	complemented
1030	#124	—	53	4	no	—
1031	#124	—	53	4	no	—
1032	#124	—	53	4	no	—
1033	#124	—	53	4	no	—
1034	#124	—	53	8	no	—
1035	#124	—	53	8	no	—
1036	#124	—	53	8	no	—
1037	#124	—	53	8	no	—
1038	#124	—	53	2	no	—
1039	#124	—	53	4	no	—
1040	#124	C₂²×D₅₃	1	2	yes	complemented
1041	#124	C₂²×D₅₃	1	4	yes	complemented
1042	#123	—	53	4	no	—
1043	#123	—	53	4	no	—
1044	#123	—	53	8	no	—
1045	#123	—	53	4	no	—
1046	#123	—	53	8	no	—
1047	#123	—	53	4	no	—
1048	#123	—	53	4	no	—
1049	#123	—	53	8	no	—
1050	#123	—	53	8	no	—
1051	#123	—	53	8	no	—
1052	#123	—	53	8	no	—
1053	#123	—	53	4	no	—
1054	#123	—	53	4	no	—
1055	#123	—	53	8	no	—
1056	#123	—	53	8	no	—
1057	#123	—	53	8	no	—
1058	#123	C₂²×D₅₃	1	4	yes	—
1059	#123	C₂²×D₅₃	1	8	yes	complemented
1060	#123	C₂²×D₅₃	1	4	yes	complemented
1061	#123	C₂²×D₅₃	1	4	yes	complemented
1062	C₂²⋊Q₈	—	53	2	no	—
1063	C₂²⋊Q₈	—	53	2	no	—
1064	C₂²⋊Q₈	—	53	4	no	—
1065	C₂²⋊Q₈	—	53	4	no	—
1066	C₂²⋊Q₈	—	53	4	no	—
1067	C₂²⋊Q₈	—	53	2	no	—
1068	C₂²⋊Q₈	—	53	4	no	—
1069	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1070	#121	—	53	2	no	—
1071	#121	—	53	4	no	—
1072	#121	—	53	4	no	—
1073	#121	—	53	4	no	—
1074	#121	—	53	8	no	—
1075	#121	—	53	8	no	—
1076	#121	—	53	8	no	—
1077	#121	—	53	8	no	—
1078	#121	—	53	8	no	—
1079	#121	—	53	8	no	—
1080	#121	—	53	8	no	—
1081	#121	—	53	8	no	—
1082	#121	—	53	8	no	—
1083	#121	—	53	8	no	—
1084	#121	—	53	8	no	—
1085	#121	—	53	8	no	—
1086	#121	—	53	2	no	—
1087	#121	—	53	4	no	—
1088	#121	—	53	4	no	—
1089	#121	—	53	8	no	—
1090	#121	—	53	8	no	—
1091	#121	—	53	2	no	—
1092	#121	—	53	4	no	—
1093	#121	—	53	4	no	—
1094	#121	—	53	8	no	—
1095	#121	—	53	8	no	—
1096	#121	—	53	8	no	—
1097	#121	—	53	8	no	—
1098	#121	—	53	4	no	—
1099	#121	—	53	4	no	—
1100	#121	—	53	4	no	—
1101	#121	—	53	8	no	—
1102	#121	—	53	8	no	—
1103	#121	—	53	8	no	—
1104	#121	—	53	8	no	—
1105	#121	—	53	8	no	—
1106	#121	—	53	8	no	—
1107	#121	—	53	8	no	—
1108	#121	—	53	8	no	—
1109	#121	—	53	8	no	—
1110	#121	—	53	8	no	—
1111	#121	C₂²×D₅₃	1	2	yes	—
1112	#121	C₂²×D₅₃	1	4	yes	complemented
1113	#121	C₂²×D₅₃	1	4	yes	complemented
1114	#121	C₂²×D₅₃	1	8	yes	complemented
1115	#121	C₂²×D₅₃	1	8	yes	complemented
1116	#121	C₂²×D₅₃	1	8	yes	complemented
1117	#121	C₂²×D₅₃	1	8	yes	complemented
1118	#120	—	53	8	no	—
1119	#120	—	53	8	no	—
1120	#120	—	53	4	no	—
1121	#120	—	53	8	no	—
1122	#120	—	53	8	no	—
1123	#120	—	53	8	no	—
1124	#120	—	53	8	no	—
1125	#120	—	53	8	no	—
1126	#120	—	53	4	no	—
1127	#120	—	53	4	no	—
1128	#120	—	53	8	no	—
1129	#120	—	53	8	no	—
1130	#120	—	53	8	no	—
1131	#120	—	53	4	no	—
1132	#120	—	53	8	no	—
1133	#120	—	53	8	no	—
1134	#120	—	53	8	no	—
1135	#120	—	53	8	no	—
1136	#120	—	53	8	no	—
1137	#120	—	53	8	no	—
1138	#120	—	53	8	no	—
1139	#120	—	53	8	no	—
1140	#120	—	53	8	no	—
1141	#120	—	53	8	no	—
1142	#120	C₂²×D₅₃	1	8	yes	—
1143	#120	C₂²×D₅₃	1	8	yes	complemented
1144	#120	C₂²×D₅₃	1	4	yes	complemented
1145	#120	C₂²×D₅₃	1	4	yes	complemented
1146	C₄×Q₈	—	53	2	no	—
1147	C₄×Q₈	—	53	4	no	—
1148	C₄×Q₈	—	53	4	no	—
1149	C₄×Q₈	—	53	4	no	—
1150	C₄×Q₈	—	53	2	no	—
1151	C₄×Q₈	—	53	4	no	—
1152	C₄×Q₈	—	53	2	no	—
1153	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1154	C₄×D₄	—	53	4	no	—
1155	C₄×D₄	—	53	2	no	—
1156	C₄×D₄	—	53	4	no	—
1157	C₄×D₄	—	53	4	no	—
1158	C₄×D₄	—	53	4	no	—
1159	C₄×D₄	—	53	4	no	—
1160	C₄×D₄	—	53	4	no	—
1161	C₄×D₄	—	53	8	no	—
1162	C₄×D₄	—	53	8	no	—
1163	C₄×D₄	—	53	8	no	—
1164	C₄×D₄	—	53	8	no	—
1165	C₄×D₄	—	53	4	no	—
1166	C₄×D₄	—	53	4	no	—
1167	C₄×D₄	—	53	4	no	—
1168	C₄×D₄	—	53	2	no	—
1169	C₄×D₄	—	53	4	no	—
1170	C₄×D₄	—	53	4	no	—
1171	C₄×D₄	—	53	4	no	—
1172	C₄×D₄	—	53	4	no	—
1173	C₄×D₄	—	53	4	no	—
1174	C₄×D₄	—	53	4	no	—
1175	C₄×D₄	—	53	4	no	—
1176	C₄×D₄	—	53	4	no	—
1177	C₄×D₄	—	53	4	no	—
1178	C₄×D₄	—	53	8	no	—
1179	C₄×D₄	—	53	8	no	—
1180	C₄×D₄	—	53	8	no	—
1181	C₄×D₄	—	53	8	no	—
1182	C₄×D₄	—	53	4	no	—
1183	C₄×D₄	—	53	2	no	—
1184	C₄×D₄	—	53	4	no	—
1185	C₄×D₄	—	53	4	no	—
1186	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1187	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1188	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1189	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1190	#117	—	53	2	no	—
1191	#117	—	53	2	no	—
1192	#117	—	53	4	no	—
1193	#117	—	53	4	no	—
1194	#117	—	53	4	no	—
1195	#117	—	53	4	no	—
1196	#117	—	53	4	no	—
1197	#117	—	53	4	no	—
1198	#117	—	53	4	no	—
1199	#117	C₂²×D₅₃	1	4	yes	complemented
1200	C₂×C₂²⋊C₄	—	53	4	no	—
1201	C₂×C₂²⋊C₄	—	53	8	no	—
1202	C₂×C₂²⋊C₄	—	53	8	no	—
1203	C₂×C₂²⋊C₄	—	53	8	no	—
1204	C₂×C₂²⋊C₄	—	53	8	no	—
1205	C₂×C₂²⋊C₄	—	53	8	no	—
1206	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
1207	C₂×C₄²	—	53	4	no	—
1208	C₂×C₄²	—	53	2	no	—
1209	C₂×C₄²	—	53	1	no	—
1210	C₂×C₄²	—	53	4	no	—
1211	C₂×C₄²	—	53	2	no	—
1212	C₂×C₄²	—	53	2	no	—
1213	C₂×C₄²	—	53	2	no	—
1214	C₂×C₄²	—	53	2	no	—
1215	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1216	C₂⁴	—	53	1	no	—
1217	C₂⁴	—	53	8	no	—
1218	C₂⁴	—	53	8	no	—
1219	C₂⁴	—	53	4	no	—
1220	C₂⁴	—	53	4	no	—
1221	C₂⁴	—	53	8	no	—
1222	C₂⁴	—	212	8	no	—
1223	C₂⁴	—	212	16	no	—
1224	C₂⁴	C₂³×D₅₃	1	4	yes	—
1225	C₂⁴	C₂³×D₅₃	1	4	yes	—
1226	#41	—	4	8	no	—
1227	#41	—	106	16	no	—
1228	#41	—	106	16	no	—
1229	#41	—	106	8	no	—
1230	#41	—	106	8	no	—
1231	#41	—	212	8	no	—
1232	#41	—	212	16	no	—
1233	#41	—	212	16	no	—
1234	#41	—	212	8	no	—
1235	#41	—	212	16	no	—
1236	#41	—	212	16	no	—
1237	#41	—	212	8	no	—
1238	C₂×Q₈	—	53	4	no	—
1239	C₂×Q₈	—	53	4	no	—
1240	C₂×Q₈	—	53	2	no	—
1241	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1242	C₂×D₄	—	4	8	no	—
1243	C₂×D₄	—	4	8	no	—
1244	C₂×D₄	—	4	4	no	—
1245	C₂×D₄	—	4	8	no	—
1246	C₂×D₄	—	53	4	no	—
1247	C₂×D₄	—	53	4	no	—
1248	C₂×D₄	—	53	4	no	—
1249	C₂×D₄	—	53	8	no	—
1250	C₂×D₄	—	53	8	no	—
1251	C₂×D₄	—	53	8	no	—
1252	C₂×D₄	—	53	8	no	—
1253	C₂×D₄	—	53	4	no	—
1254	C₂×D₄	—	53	4	no	—
1255	C₂×D₄	—	53	8	no	—
1256	C₂×D₄	—	53	8	no	—
1257	C₂×D₄	—	53	8	no	—
1258	C₂×D₄	—	53	8	no	—
1259	C₂×D₄	—	53	8	no	—
1260	C₂×D₄	—	53	8	no	—
1261	C₂×D₄	—	53	8	no	—
1262	C₂×D₄	—	53	8	no	—
1263	C₂×D₄	—	53	4	no	—
1264	C₂×D₄	—	53	4	no	—
1265	C₂×D₄	—	53	4	no	—
1266	C₂×D₄	—	53	4	no	—
1267	C₂×D₄	—	53	2	no	—
1268	C₂×D₄	—	53	8	no	—
1269	C₂×D₄	—	53	8	no	—
1270	C₂×D₄	—	53	8	no	—
1271	C₂×D₄	—	53	4	no	—
1272	C₂×D₄	—	53	8	no	—
1273	C₂×D₄	—	53	4	no	—
1274	C₂×D₄	—	106	16	no	—
1275	C₂×D₄	—	106	16	no	—
1276	C₂×D₄	—	106	16	no	—
1277	C₂×D₄	—	212	8	no	—
1278	C₂×D₄	—	212	8	no	—
1279	C₂×D₄	—	212	4	no	—
1280	C₂×D₄	—	212	16	no	—
1281	C₂×D₄	—	212	8	no	—
1282	C₂×D₄	—	212	8	no	—
1283	C₂×D₄	—	212	8	no	—
1284	C₂×D₄	—	212	8	no	—
1285	C₂×D₄	—	212	16	no	—
1286	C₂×D₄	—	212	8	no	—
1287	C₂×D₄	—	212	16	no	—
1288	C₂×D₄	—	212	8	no	—
1289	C₂×D₄	—	212	16	no	—
1290	C₂×D₄	—	212	16	no	—
1291	C₂×D₄	—	212	16	no	—
1292	C₂×D₄	—	212	16	no	—
1293	C₂×D₄	—	212	16	no	—
1294	C₂×D₄	—	212	16	no	—
1295	C₂×D₄	—	212	16	no	—
1296	C₂×D₄	—	212	16	no	—
1297	C₂×D₄	—	212	16	no	—
1298	C₂×D₄	—	212	8	no	—
1299	C₂×D₄	—	212	16	no	—
1300	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1301	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1302	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1303	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1304	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1305	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1306	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1307	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1308	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1309	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1310	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1311	C₂²×C₄	—	53	1	no	—
1312	C₂²×C₄	—	53	2	no	—
1313	C₂²×C₄	—	53	2	no	—
1314	C₂²×C₄	—	53	4	no	—
1315	C₂²×C₄	—	53	4	no	—
1316	C₂²×C₄	—	53	4	no	—
1317	C₂²×C₄	—	53	8	no	—
1318	C₂²×C₄	—	53	2	no	—
1319	C₂²×C₄	—	53	2	no	—
1320	C₂²×C₄	—	53	2	no	—
1321	C₂²×C₄	—	53	2	no	—
1322	C₂²×C₄	—	53	2	no	—
1323	C₂²×C₄	—	53	4	no	—
1324	C₂²×C₄	—	53	4	no	—
1325	C₂²×C₄	—	53	4	no	—
1326	C₂²×C₄	—	53	8	no	—
1327	C₂²×C₄	—	53	8	no	—
1328	C₂²×C₄	—	53	8	no	—
1329	C₂²×C₄	—	106	4	no	—
1330	C₂²×C₄	—	106	8	no	—
1331	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1332	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1334	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1335	C₂²×C₄	C₂³×D₅₃	1	8	yes	—
1336	C₄⋊C₄	—	53	4	no	—
1337	C₄⋊C₄	—	53	4	no	—
1338	C₄⋊C₄	—	53	4	no	—
1339	C₄⋊C₄	—	53	4	no	—
1340	C₄⋊C₄	—	53	2	no	—
1341	C₄⋊C₄	—	53	2	no	—
1342	C₄⋊C₄	—	53	4	no	—
1343	C₄⋊C₄	—	53	4	no	—
1344	C₄⋊C₄	—	53	4	no	—
1345	C₄⋊C₄	—	53	4	no	—
1346	C₄⋊C₄	—	53	4	no	—
1347	C₄⋊C₄	—	53	4	no	—
1348	C₄⋊C₄	—	53	4	no	—
1349	C₄⋊C₄	—	53	4	no	—
1350	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1351	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1352	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1353	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1354	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1355	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1356	C₂²⋊C₄	—	53	4	no	—
1357	C₂²⋊C₄	—	53	4	no	—
1358	C₂²⋊C₄	—	53	4	no	—
1359	C₂²⋊C₄	—	53	8	no	—
1360	C₂²⋊C₄	—	53	8	no	—
1361	C₂²⋊C₄	—	53	4	no	—
1362	C₂²⋊C₄	—	53	4	no	—
1363	C₂²⋊C₄	—	53	4	no	—
1364	C₂²⋊C₄	—	53	4	no	—
1365	C₂²⋊C₄	—	53	4	no	—
1366	C₂²⋊C₄	—	53	4	no	—
1367	C₂²⋊C₄	—	53	8	no	—
1368	C₂²⋊C₄	—	53	8	no	—
1369	C₂²⋊C₄	—	53	8	no	—
1370	C₂²⋊C₄	—	53	8	no	—
1371	C₂²⋊C₄	—	53	8	no	—
1372	C₂²⋊C₄	—	53	8	no	—
1373	C₂²⋊C₄	—	53	4	no	—
1374	C₂²⋊C₄	—	53	4	no	—
1375	C₂²⋊C₄	—	53	4	no	—
1376	C₂²⋊C₄	—	53	4	no	—
1377	C₂²⋊C₄	—	53	4	no	—
1378	C₂²⋊C₄	—	53	4	no	—
1379	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1380	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1381	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1382	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1383	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1384	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1385	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1386	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1387	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1388	C₄²	—	53	2	no	—
1389	C₄²	—	53	2	no	—
1390	C₄²	—	53	2	no	—
1391	C₄²	—	53	2	no	—
1392	C₄²	—	53	1	no	—
1393	C₄²	—	53	2	no	—
1394	C₄²	—	53	1	no	—
1395	C₄²	—	53	4	no	—
1396	C₄²	—	53	4	no	—
1397	C₄²	—	53	4	no	—
1398	C₄²	—	53	4	no	—
1399	C₄²	—	53	4	no	—
1400	C₄²	C₂³×D₅₃	1	2	yes	—
1401	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1402	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1403	C₄²	C₂³×D₅₃	1	4	yes	—
1404	C₂³	—	2	8	no	—
1405	C₂³	—	4	8	no	—
1406	C₂³	—	4	8	no	—
1407	C₂³	—	4	4	no	—
1408	C₂³	—	53	2	no	—
1409	C₂³	—	53	4	no	—
1410	C₂³	—	53	8	no	—
1411	C₂³	—	106	4	no	—
1412	C₂³	—	106	16	no	—
1413	C₂³	—	106	16	no	—
1414	C₂³	—	106	2	no	—
1415	C₂³	—	106	8	no	—
1416	C₂³	—	424	32	no	—
1417	C₂³	—	212	8	no	—
1418	C₂³	—	212	8	no	—
1419	C₂³	—	212	8	no	—
1420	C₂³	—	212	8	no	—
1421	C₂³	—	212	4	no	—
1422	C₂³	—	212	8	no	—
1423	C₂³	—	212	8	no	—
1424	C₂³	—	212	8	no	—
1425	C₂³	—	212	8	no	—
1426	C₂³	—	212	8	no	—
1427	C₂³	C₂⁴×D₅₃	1	4	yes	—
1428	C₂³	C₂⁴×D₅₃	1	4	yes	—
1429	C₂³	C₂⁴×D₅₃	1	4	yes	—
1430	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1431	Q₈	—	2	4	no	—
1432	Q₈	—	106	8	no	—
1433	Q₈	—	106	8	no	—
1434	Q₈	—	106	4	no	—
1435	D₄	—	2	8	no	—
1436	D₄	—	2	8	no	—
1437	D₄	—	2	4	no	—
1438	D₄	—	2	8	no	—
1439	D₄	—	4	8	no	—
1440	D₄	—	4	2	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	2	no	—
1443	D₄	—	4	8	no	—
1444	D₄	—	4	8	no	—
1445	D₄	—	4	8	no	—
1446	D₄	—	106	8	no	—
1447	D₄	—	106	8	no	—
1448	D₄	—	106	16	no	—
1449	D₄	—	106	16	no	—
1450	D₄	—	106	16	no	—
1451	D₄	—	106	16	no	—
1452	D₄	—	106	8	no	—
1453	D₄	—	106	8	no	—
1454	D₄	—	106	8	no	—
1455	D₄	—	106	8	no	—
1456	D₄	—	106	8	no	—
1457	D₄	—	106	8	no	—
1458	D₄	—	106	8	no	—
1459	D₄	—	106	4	no	—
1460	D₄	—	212	8	no	—
1461	D₄	—	212	4	no	—
1462	D₄	—	212	4	no	—
1463	D₄	—	212	8	no	—
1464	D₄	—	212	8	no	—
1465	D₄	—	212	8	no	—
1466	D₄	—	212	8	no	—
1467	D₄	—	212	8	no	—
1468	D₄	—	212	8	no	—
1469	D₄	—	212	8	no	—
1470	D₄	—	212	8	no	—
1471	D₄	—	212	8	no	—
1472	D₄	—	212	8	no	—
1473	D₄	—	212	8	no	—
1474	C₂×C₄	—	2	2	no	—
1475	C₂×C₄	—	2	4	no	—
1476	C₂×C₄	—	2	8	no	—
1477	C₂×C₄	—	4	4	no	—
1478	C₂×C₄	—	4	8	no	—
1479	C₂×C₄	—	53	4	no	—
1480	C₂×C₄	—	53	2	no	—
1481	C₂×C₄	—	53	2	no	—
1482	C₂×C₄	—	53	8	no	—
1483	C₂×C₄	—	53	2	no	—
1484	C₂×C₄	—	53	4	no	—
1485	C₂×C₄	—	53	4	no	—
1486	C₂×C₄	—	53	4	no	—
1487	C₂×C₄	—	106	4	no	—
1488	C₂×C₄	—	106	4	no	—
1489	C₂×C₄	—	106	4	no	—
1490	C₂×C₄	—	106	8	no	—
1491	C₂×C₄	—	106	8	no	—
1492	C₂×C₄	—	106	4	no	—
1493	C₂×C₄	—	106	4	no	—
1494	C₂×C₄	—	106	8	no	—
1495	C₂×C₄	—	106	8	no	—
1496	C₂×C₄	—	106	4	no	—
1497	C₂×C₄	—	106	8	no	—
1498	C₂×C₄	—	212	8	no	—
1499	C₂×C₄	—	212	8	no	—
1500	C₂×C₄	—	212	8	no	—
1501	C₂×C₄	—	212	8	no	—
1502	C₂×C₄	—	212	4	no	—
1503	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1504	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1505	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1506	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1507	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1508	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1509	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	4	no	—
1512	C₂²	—	2	8	no	—
1513	C₂²	—	2	4	no	—
1514	C₂²	—	2	4	no	—
1515	C₂²	—	2	4	no	—
1516	C₂²	—	2	8	no	—
1517	C₂²	—	2	4	no	—
1518	C₂²	—	8	8	no	—
1519	C₂²	—	16	4	no	—
1520	C₂²	—	53	4	no	—
1521	C₂²	—	848	4	no	—
1522	C₂²	—	848	8	no	—
1523	C₂²	—	106	8	no	—
1524	C₂²	—	106	2	no	—
1525	C₂²	—	106	2	no	—
1526	C₂²	—	106	4	no	—
1527	C₂²	—	106	4	no	—
1528	C₂²	—	106	4	no	—
1529	C₂²	—	106	8	no	—
1530	C₂²	—	106	8	no	—
1531	C₂²	—	106	8	no	—
1532	C₂²	—	424	8	no	—
1533	C₂²	—	424	16	no	—
1534	C₂²	—	424	16	no	—
1535	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
1536	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1537	C₄	—	2	4	no	—
1538	C₄	—	2	1	no	—
1539	C₄	—	2	1	no	—
1540	C₄	—	2	2	no	—
1541	C₄	—	2	4	no	—
1542	C₄	—	2	4	no	—
1543	C₄	—	53	4	no	—
1544	C₄	—	53	4	no	—
1545	C₄	—	106	2	no	—
1546	C₄	—	106	4	no	—
1547	C₄	—	106	4	no	—
1548	C₄	—	106	4	no	—
1549	C₄	H(5,𝔽₂)×D₅₃	1	4	yes	—
1550	C₂	—	2	2	no	—
1551	C₂	—	4	4	no	—
1552	C₂	—	4	4	no	—
1553	C₂	—	4	4	no	—
1554	C₂	—	106	4	no	—
1555	C₂	—	212	4	no	—
1556	C₂	—	212	8	no	—
1557	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1558	C₂	C₂×H(5,𝔽₂)×D₅₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3543	C₂
hypercenter	#3543	D₅₃
hypocenter	C₅₃	#62832
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3543

Complements

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

N	H ≅ G/N	type
1. #20289048	C₂	semidirect
2. #20289045	C₂	semidirect
3. #20289044	C₂	semidirect
4. #20289043	C₂	semidirect
5. #20289042	C₂	semidirect
6. #20289041	C₂	semidirect
7. #20288588	C₂	semidirect
8. #20288587	C₂	semidirect
9. #20288585	C₂	semidirect
10. #20288583	C₂	semidirect
11. #20288492	C₂	semidirect
12. #20288490	C₂	semidirect
13. #20288487	C₂	semidirect
14. #20288487	C₂	semidirect
15. #20288347	C₂	semidirect
16. #20288345	C₂	semidirect
17. #20288343	C₂	semidirect
18. #20288009	C₂	semidirect
19. C₂×#127×D₅₃	C₂	semidirect
20. C₅₃×#3543	C₂	semidirect
21. C₂×#13133263	C₂²	semidirect
22. C₂×#13133262	C₂²	semidirect
23. C₂×#13133262	C₂²	semidirect
24. C₂²×D₄×D₅₃	C₂²	semidirect
25. C₂²×D₄×D₅₃	C₂²	semidirect
26. #16811364	C₂²	semidirect
27. #16811363	C₂²	semidirect
28. #16811362	C₂²	semidirect
29. #16811361	C₂²	semidirect
30. #16811360	C₂²	semidirect
31. #16811359	C₂²	semidirect
32. #16811358	C₂²	semidirect
33. #16811357	C₂²	semidirect
34. #16811357	C₂²	semidirect
35. #16811356	C₂²	semidirect
36. #16811355	C₂²	semidirect
37. #16811295	C₂²	semidirect
38. #16811294	C₂²	semidirect
39. #16811294	C₂²	semidirect
40. #16811293	C₂²	semidirect
41. #16811293	C₂²	semidirect
42. #16811292	C₂²	semidirect
43. #16811291	C₂²	semidirect
44. #16811291	C₂²	semidirect
45. #16811291	C₂²	semidirect
46. #16811291	C₂²	semidirect
47. #16811270	C₂²	semidirect
48. #16811269	C₂²	semidirect
49. #16811268	C₂²	semidirect
50. #16811267	C₂²	semidirect
51. #16811266	C₂²	semidirect
52. #16811265	C₂²	semidirect
53. #16811265	C₂²	semidirect
54. #16811265	C₂²	semidirect
55. #16811264	C₂²	semidirect
56. #16811263	C₂²	semidirect
57. #16811262	C₂²	semidirect
58. #16811262	C₂²	semidirect
59. #16811262	C₂²	semidirect
60. #16811261	C₂²	semidirect
61. #16811260	C₂²	semidirect
62. D₄×D₂₁₂	C₂²	semidirect
63. D₄×D₂₁₂	C₂²	semidirect
64. D₄×D₂₁₂	C₂²	semidirect
65. #16811258	C₂²	semidirect
66. #16811258	C₂²	semidirect
67. #16811257	C₂²	semidirect
68. #16811257	C₂²	semidirect
69. #16811257	C₂²	semidirect
70. #16811257	C₂²	semidirect
71. #16811257	C₂²	semidirect
72. #16811257	C₂²	semidirect
73. D₄×C₂²⋊D₅₃	C₂²	semidirect
74. D₄×C₂²⋊D₅₃	C₂²	semidirect
75. D₄×C₂²⋊D₅₃	C₂²	semidirect
76. D₄×C₂²⋊D₅₃	C₂²	semidirect
77. #16811255	C₂²	semidirect
78. #16811255	C₂²	semidirect
79. #16811255	C₂²	semidirect
80. #16811255	C₂²	semidirect
81. #16811255	C₂²	semidirect
82. #16811255	C₂²	semidirect
83. #16811229	C₂²	semidirect
84. #16811228	C₂²	semidirect
85. #16811227	C₂²	semidirect
86. #16811225	C₂²	semidirect
87. #16811225	C₂²	semidirect
88. #16811223	C₂²	semidirect
89. #16811223	C₂²	semidirect
90. #16811192	C₂²	semidirect
91. #16811191	C₂²	semidirect
92. #16811191	C₂²	semidirect
93. #16811189	C₂²	semidirect
94. #16811189	C₂²	semidirect
95. #16811189	C₂²	semidirect
96. #16811189	C₂²	semidirect
97. #16811188	C₂²	semidirect
98. #16811188	C₂²	semidirect
99. #16811188	C₂²	semidirect
100. #16811186	C₂²	semidirect
101. #16811186	C₂²	semidirect
102. #16811184	C₂²	semidirect
103. #16811184	C₂²	semidirect
104. #16811183	C₂²	semidirect
105. #16811182	C₂²	semidirect
106. #16811181	C₂²	semidirect
107. #16811181	C₂²	semidirect
108. #16811179	C₂²	semidirect
109. #16811177	C₂²	semidirect
110. #16811175	C₂²	semidirect
111. #16811172	C₂²	semidirect
112. #16811172	C₂²	semidirect
113. #16811170	C₂²	semidirect
114. #16811170	C₂²	semidirect
115. #16811170	C₂²	semidirect
116. #16811169	C₂²	semidirect
117. #16811168	C₂²	semidirect
118. #16811168	C₂²	semidirect
119. #16811168	C₂²	semidirect
120. C₂×#13133214	C₂²	semidirect
121. C₂×#13133213	C₂²	semidirect
122. C₂×#13133213	C₂²	semidirect
123. C₂×#13133213	C₂²	semidirect
124. #127×D₅₃	C₂²	semidirect
125. #127×D₅₃	C₂²	semidirect
126. #127×D₅₃	C₂²	semidirect
127. #127×D₅₃	C₂²	semidirect
128. #127×D₅₃	C₂²	semidirect
129. #127×D₅₃	C₂²	semidirect
130. #16811158	C₂²	semidirect
131. #16811157	C₂²	semidirect
132. #16811156	C₂²	semidirect
133. #16811156	C₂²	semidirect
134. #16811152	C₂²	semidirect
135. #16811151	C₂²	semidirect
136. #16811150	C₂²	semidirect
137. #16811136	C₂²	semidirect
138. #16811133	C₂²	semidirect
139. #16811132	C₂²	semidirect
140. #16811131	C₂²	semidirect
141. C₂×#13133187	C₂²	semidirect
142. C₂×#13133185	C₂²	semidirect
143. #120×D₅₃	C₂²	semidirect
144. #16811096	C₂²	semidirect
145. #16811095	C₂²	semidirect
146. #16811095	C₂²	semidirect
147. C₄×#11719949	C₂²	semidirect
148. #16811091	C₂²	semidirect
149. C₄×#11719947	C₂²	semidirect
150. C₄×#11719947	C₂²	semidirect
151. C₂×C₄²×D₅₃	C₂²	semidirect
152. C₅₃×#560	C₂²	semidirect
153. C₅₃×#559	C₂²	semidirect
154. C₅₃×#550	C₂²	semidirect
155. C₅₃×#546	C₂²	semidirect
156. D₄²×C₅₃	C₂²	semidirect
157. D₄²×C₅₃	C₂²	semidirect
158. C₅₃×#540	C₂²	semidirect
159. C₅₃×#535	C₂²	semidirect
160. C₅₃×#534	C₂²	semidirect
161. C₂×#127×C₅₃	C₂²	semidirect
162. C₅₃×#529	C₂²	semidirect
168. C₂×#11719949	C₂³	semidirect
170. C₂×#11719945	C₂³	semidirect
171. C₂×#11719945	C₂³	semidirect
172. C₂×#11719945	C₂³	semidirect
175. C₂×#11719947	C₂³	semidirect
176. C₂×#11719947	C₂³	semidirect
177. C₂×#11719947	C₂³	semidirect
181. C₂²×D₂₁₂	C₂³	semidirect
186. C₂²×C₂²⋊D₅₃	C₂³	semidirect
187. C₂²×C₂²⋊D₅₃	C₂³	semidirect
202. C₂×D₄×D₅₃	C₂³	semidirect
203. C₂×D₄×D₅₃	C₂³	semidirect
204. C₂×D₄×D₅₃	C₂³	semidirect
205. C₂×D₄×D₅₃	C₂³	semidirect
208. #13133216	C₂³	semidirect
209. #13133216	C₂³	semidirect
210. #13133215	C₂³	semidirect
214. #13133214	C₂³	semidirect
225. #13133213	C₂³	semidirect
226. #13133213	C₂³	semidirect
227. #13133213	C₂³	semidirect
228. #13133213	C₂³	semidirect
229. #13133213	C₂³	semidirect
230. #13133213	C₂³	semidirect
231. #13133213	C₂³	semidirect
232. #13133212	C₂³	semidirect
233. #13133211	C₂³	semidirect
234. #13133210	C₂³	semidirect
235. #13133209	C₂³	semidirect
236. #13133207	C₂³	semidirect
237. #13133207	C₂³	semidirect
238. #13133206	C₂³	semidirect
239. #13133205	C₂³	semidirect
240. #13133205	C₂³	semidirect
241. #13133204	C₂³	semidirect
242. #13133203	C₂³	semidirect
243. #13133203	C₂³	semidirect
244. #13133203	C₂³	semidirect
245. #13133203	C₂³	semidirect
246. #13133203	C₂³	semidirect
247. #13133203	C₂³	semidirect
250. #13133202	C₂³	semidirect
251. #13133202	C₂³	semidirect
252. #13133202	C₂³	semidirect
253. #13133202	C₂³	semidirect
254. #13133201	C₂³	semidirect
256. #13133200	C₂³	semidirect
259. #13133199	C₂³	semidirect
260. #13133199	C₂³	semidirect
261. #13133198	C₂³	semidirect
262. #13133198	C₂³	semidirect
263. #13133198	C₂³	semidirect
272. #13133192	C₂³	semidirect
273. #13133192	C₂³	semidirect
274. #13133192	C₂³	semidirect
275. #13133192	C₂³	semidirect
276. #13133192	C₂³	semidirect
277. #13133192	C₂³	semidirect
279. #13133191	C₂³	semidirect
280. #13133191	C₂³	semidirect
281. #13133191	C₂³	semidirect
282. #13133191	C₂³	semidirect
286. #13133190	C₂³	semidirect
287. #13133190	C₂³	semidirect
288. #13133190	C₂³	semidirect
289. #13133190	C₂³	semidirect
290. #13133190	C₂³	semidirect
291. #13133190	C₂³	semidirect
292. #13133190	C₂³	semidirect
293. #13133190	C₂³	semidirect
294. #13133190	C₂³	semidirect
295. #13133190	C₂³	semidirect
297. #13133189	C₂³	semidirect
298. #13133189	C₂³	semidirect
299. #13133189	C₂³	semidirect
300. #13133189	C₂³	semidirect
301. #13133189	C₂³	semidirect
302. #13133189	C₂³	semidirect
303. #13133189	C₂³	semidirect
304. #13133189	C₂³	semidirect
305. #13133189	C₂³	semidirect
306. #13133189	C₂³	semidirect
308. #13133188	C₂³	semidirect
309. #13133188	C₂³	semidirect
310. #13133188	C₂³	semidirect
311. #13133188	C₂³	semidirect
318. #13133187	C₂³	semidirect
319. #13133187	C₂³	semidirect
320. #13133187	C₂³	semidirect
321. #13133187	C₂³	semidirect
322. #13133187	C₂³	semidirect
324. #13133186	C₂³	semidirect
331. #13133185	C₂³	semidirect
332. #13133185	C₂³	semidirect
333. #13133185	C₂³	semidirect
334. #13133185	C₂³	semidirect
335. #13133185	C₂³	semidirect
336. Q₈×Dic₅₃	C₂³	semidirect
337. C₄×Dic₁₀₆	C₂³	semidirect
338. C₄×Dic₁₀₆	C₂³	semidirect
339. #13133182	C₂³	semidirect
340. #13133182	C₂³	semidirect
341. #13133182	C₂³	semidirect
342. #13133182	C₂³	semidirect
344. C₄×D₂₁₂	C₂³	semidirect
345. C₄×D₂₁₂	C₂³	semidirect
346. C₄×D₂₁₂	C₂³	semidirect
348. D₄×Dic₅₃	C₂³	semidirect
349. D₄×Dic₅₃	C₂³	semidirect
350. D₄×Dic₅₃	C₂³	semidirect
354. #13133179	C₂³	semidirect
355. #13133179	C₂³	semidirect
356. #13133179	C₂³	semidirect
359. C₄×C₂²⋊D₅₃	C₂³	semidirect
360. C₄×C₂²⋊D₅₃	C₂³	semidirect
361. C₄×C₂²⋊D₅₃	C₂³	semidirect
362. C₄×C₂²⋊D₅₃	C₂³	semidirect
363. C₄×C₂²⋊D₅₃	C₂³	semidirect
368. #13133177	C₂³	semidirect
369. #13133177	C₂³	semidirect
370. #13133177	C₂³	semidirect
371. #13133177	C₂³	semidirect
372. #13133177	C₂³	semidirect
373. #13133177	C₂³	semidirect
374. #13133177	C₂³	semidirect
377. #13133175	C₂³	semidirect
378. #13133175	C₂³	semidirect
380. #13133174	C₂³	semidirect
382. #13133173	C₂³	semidirect
383. #13133173	C₂³	semidirect
392. C₂×C₄×Dic₅₃	C₂³	semidirect
397. C₄²×D₅₃	C₂³	semidirect
398. C₂×#41×C₅₃	C₂³	semidirect
402. C₂²×D₄×C₅₃	C₂³	semidirect
407. #127×C₅₃	C₂³	semidirect
408. #126×C₅₃	C₂³	semidirect
409. #125×C₅₃	C₂³	semidirect
410. #124×C₅₃	C₂³	semidirect
411. #124×C₅₃	C₂³	semidirect
413. #123×C₅₃	C₂³	semidirect
414. #123×C₅₃	C₂³	semidirect
415. #123×C₅₃	C₂³	semidirect
418. #121×C₅₃	C₂³	semidirect
419. #121×C₅₃	C₂³	semidirect
420. #121×C₅₃	C₂³	semidirect
421. #121×C₅₃	C₂³	semidirect
422. #121×C₅₃	C₂³	semidirect
423. #121×C₅₃	C₂³	semidirect
425. #120×C₅₃	C₂³	semidirect
426. #120×C₅₃	C₂³	semidirect
427. #120×C₅₃	C₂³	semidirect
428. C₄×Q₈×C₅₃	C₂³	semidirect
430. C₄×D₄×C₅₃	C₂³	semidirect
431. C₄×D₄×C₅₃	C₂³	semidirect
432. C₄×D₄×C₅₃	C₂³	semidirect
433. #117×C₅₃	C₂³	semidirect
697. C₂×Dic₅₃	H(5,𝔽₂)	semidirect
726. C₄×D₅₃	H(5,𝔽₂)	semidirect
777. #3543	D₅₃	semidirect
810. #560	C₂×D₅₃	semidirect
817. #559	C₂×D₅₃	semidirect
828. #550	C₂×D₅₃	semidirect
844. #546	C₂×D₅₃	semidirect
866. D₄²	C₂×D₅₃	semidirect
867. D₄²	C₂×D₅₃	semidirect
875. #540	C₂×D₅₃	semidirect
888. #535	C₂×D₅₃	semidirect
895. #534	C₂×D₅₃	semidirect
918. C₂×#127	C₂×D₅₃	semidirect
926. #529	C₂×D₅₃	semidirect
942. C₅₃	#62832	semidirect
958. C₂×#41	C₂²×D₅₃	semidirect
990. C₂²×D₄	C₂²×D₅₃	semidirect
1021. #127	C₂²×D₅₃	semidirect
1025. #126	C₂²×D₅₃	semidirect
1029. #125	C₂²×D₅₃	semidirect
1040. #124	C₂²×D₅₃	semidirect
1041. #124	C₂²×D₅₃	semidirect
1059. #123	C₂²×D₅₃	semidirect
1060. #123	C₂²×D₅₃	semidirect
1061. #123	C₂²×D₅₃	semidirect
1112. #121	C₂²×D₅₃	semidirect
1113. #121	C₂²×D₅₃	semidirect
1114. #121	C₂²×D₅₃	semidirect
1115. #121	C₂²×D₅₃	semidirect
1116. #121	C₂²×D₅₃	semidirect
1117. #121	C₂²×D₅₃	semidirect
1143. #120	C₂²×D₅₃	semidirect
1144. #120	C₂²×D₅₃	semidirect
1145. #120	C₂²×D₅₃	semidirect
1153. C₄×Q₈	C₂²×D₅₃	semidirect
1187. C₄×D₄	C₂²×D₅₃	semidirect
1188. C₄×D₄	C₂²×D₅₃	semidirect
1189. C₄×D₄	C₂²×D₅₃	semidirect
1199. #117	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289048	2
#20289045	2
#20289044	2
#20289043	2
#20289042	2
#20289041	2
#20288588	2
#20288587	2
#20288585	2
#20288583	2
#20288492	2
#20288490	2
#20288487	2
#20288347	2
#20288345	2
#20288343	2
#20288009	2
C₂×#127×D₅₃	2
C₅₃×#3543	2
#62832	53