Subgroups — D₅₃×#3460 #28290883

Order 13568.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288138	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288137	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288136	C₂	1	4	yes	maximal, complemented
4	#20288135	C₂	1	4	yes	maximal, complemented
5	#20288134	C₂	1	4	yes	maximal, complemented
6	#20288133	C₂	1	4	yes	maximal, complemented
7	#20288132	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288131	C₂	1	2	yes	maximal, complemented
9	#20288130	C₂	1	4	yes	maximal, complemented
10	#20288129	C₂	1	4	yes	maximal, complemented
11	#20288128	C₂	1	2	yes	maximal, complemented
12	#544×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#542×D₅₃	C₂	1	4	yes	maximal, complemented
14	#540×D₅₃	C₂	1	4	yes	maximal, complemented
15	#538×D₅₃	C₂	1	4	yes	maximal, complemented
16	#537×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#535×D₅₃	C₂	1	2	yes	maximal, complemented
18	#532×D₅₃	C₂	1	4	yes	maximal, complemented
19	#529×D₅₃	C₂	1	4	yes	maximal, complemented
20	#525×D₅₃	C₂	1	4	yes	maximal, complemented
21	C₄×#41×D₅₃	C₂	1	2	yes	maximal, complemented
22	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₅₃	C₂²	1	2	yes	—
25	C₂×#41×D₅₃	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₅₃	C₂²	1	2	yes	—
28	#16811254	C₂²	1	1	yes	characteristic, complemented
29	#16811253	C₂²	1	4	yes	complemented
30	#16811252	C₂²	1	4	yes	complemented
31	#16811251	C₂²	1	2	yes	complemented
32	#16811250	C₂²	1	4	yes	complemented
33	#16811247	C₂²	1	4	yes	complemented
34	#16811246	C₂²	1	4	yes	complemented
35	#16811245	C₂²	1	4	yes	complemented
36	#16811244	C₂²	1	4	yes	complemented
37	#16811243	C₂²	1	8	yes	complemented
38	#16811242	C₂²	1	4	yes	complemented
39	#16811241	C₂²	1	8	yes	complemented
40	#16811240	C₂²	1	4	yes	complemented
41	#16811239	C₂²	1	8	yes	complemented
42	#16811238	C₂²	1	4	yes	complemented
43	#16811237	C₂²	1	8	yes	complemented
44	#16811229	C₂²	1	4	yes	complemented
45	#16811228	C₂²	1	4	yes	complemented
46	#16811227	C₂²	1	4	yes	complemented
47	#16811226	C₂²	1	4	yes	complemented
48	#16811226	C₂²	1	4	yes	complemented
49	#16811225	C₂²	1	8	yes	complemented
50	#16811225	C₂²	1	8	yes	complemented
51	#16811224	C₂²	1	4	yes	complemented
52	#16811224	C₂²	1	4	yes	complemented
53	#16811223	C₂²	1	8	yes	complemented
54	#16811223	C₂²	1	8	yes	complemented
55	#16811213	C₂²	1	4	yes	complemented
56	#16811212	C₂²	1	8	yes	complemented
57	#16811211	C₂²	1	4	yes	complemented
58	#16811210	C₂²	1	4	yes	complemented
59	#16811209	C₂²	1	8	yes	complemented
60	#16811208	C₂²	1	8	yes	complemented
61	#16811207	C₂²	1	8	yes	complemented
62	#16811206	C₂²	1	8	yes	complemented
63	#16811205	C₂²	1	8	yes	complemented
64	#16811204	C₂²	1	1	yes	characteristic, complemented
65	#16811203	C₂²	1	4	yes	complemented
66	#16811202	C₂²	1	4	yes	complemented
67	#16811201	C₂²	1	2	yes	complemented
68	#16811200	C₂²	1	4	yes	complemented
69	#16811192	C₂²	1	2	yes	complemented
70	#16811191	C₂²	1	4	yes	complemented
71	#16811190	C₂²	1	2	yes	complemented
72	#16811189	C₂²	1	4	yes	complemented
73	#16811189	C₂²	1	4	yes	complemented
74	#16811188	C₂²	1	8	yes	complemented
75	#16811187	C₂²	1	2	yes	complemented
76	#16811186	C₂²	1	4	yes	complemented
77	#16811174	C₂²	1	4	yes	complemented
78	#16811173	C₂²	1	4	yes	complemented
79	#16811172	C₂²	1	8	yes	complemented
80	#16811171	C₂²	1	4	yes	complemented
81	#16811170	C₂²	1	4	yes	complemented
82	#16811170	C₂²	1	8	yes	complemented
83	#16811170	C₂²	1	4	yes	complemented
84	#16811169	C₂²	1	8	yes	complemented
85	#16811168	C₂²	1	4	yes	complemented
86	#16811168	C₂²	1	8	yes	complemented
87	#16811168	C₂²	1	4	yes	complemented
88	C₄⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
89	#127×D₅₃	C₂²	1	4	yes	—
90	#16811160	C₂²	1	4	yes	complemented
91	#16811159	C₂²	1	4	yes	complemented
92	#16811158	C₂²	1	4	yes	complemented
93	#16811157	C₂²	1	4	yes	complemented
94	#16811156	C₂²	1	8	yes	complemented
95	#16811155	C₂²	1	4	yes	complemented
96	#16811154	C₂²	1	4	yes	complemented
97	#16811153	C₂²	1	8	yes	complemented
98	#16811152	C₂²	1	4	yes	complemented
99	#16811151	C₂²	1	8	yes	complemented
100	#16811150	C₂²	1	8	yes	complemented
101	#126×D₅₃	C₂²	1	8	yes	complemented
102	#125×D₅₃	C₂²	1	4	yes	complemented
103	#124×D₅₃	C₂²	1	4	yes	—
104	#124×D₅₃	C₂²	1	8	yes	complemented
105	#16811136	C₂²	1	4	yes	complemented
106	#16811136	C₂²	1	4	yes	complemented
107	#16811135	C₂²	1	4	yes	complemented
108	#16811134	C₂²	1	4	yes	complemented
109	#16811133	C₂²	1	4	yes	complemented
110	#16811133	C₂²	1	4	yes	complemented
111	#16811132	C₂²	1	8	yes	complemented
112	#16811132	C₂²	1	8	yes	complemented
113	#16811131	C₂²	1	8	yes	complemented
114	#16811130	C₂²	1	4	yes	complemented
115	#16811129	C₂²	1	8	yes	complemented
116	#123×D₅₃	C₂²	1	8	yes	complemented
117	#123×D₅₃	C₂²	1	8	yes	complemented
118	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
119	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
120	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
121	#121×D₅₃	C₂²	1	4	yes	—
122	#121×D₅₃	C₂²	1	4	yes	—
123	#121×D₅₃	C₂²	1	4	yes	—
124	#121×D₅₃	C₂²	1	4	yes	complemented
125	#121×D₅₃	C₂²	1	8	yes	complemented
126	#121×D₅₃	C₂²	1	4	yes	complemented
127	#120×D₅₃	C₂²	1	8	yes	—
128	#41×Dic₅₃	C₂²	1	2	yes	complemented
129	C₄×#11719949	C₂²	1	2	yes	complemented
130	C₄×#11719949	C₂²	1	2	yes	complemented
131	C₄×#11719945	C₂²	1	2	yes	complemented
132	C₄×#11719945	C₂²	1	4	yes	complemented
133	#16811091	C₂²	1	2	yes	complemented
134	#16811091	C₂²	1	4	yes	complemented
135	C₄×#11719947	C₂²	1	4	yes	complemented
136	C₄×#11719947	C₂²	1	4	yes	complemented
137	C₄×#11719947	C₂²	1	2	yes	complemented
138	C₄×#11719947	C₂²	1	2	yes	complemented
139	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
140	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
141	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
142	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
145	C₂×#13133177	C₂²	1	2	yes	complemented
146	C₄×D₄×D₅₃	C₂²	1	4	yes	—
147	C₄×D₄×D₅₃	C₂²	1	4	yes	—
148	C₄×D₄×D₅₃	C₂²	1	4	yes	—
149	C₄×D₄×D₅₃	C₂²	1	4	yes	—
150	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
151	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
152	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
153	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
154	C₄×D₄×D₅₃	C₂²	1	8	yes	complemented
155	#117×D₅₃	C₂²	1	2	yes	—
156	#117×D₅₃	C₂²	1	4	yes	complemented
157	#117×D₅₃	C₂²	1	4	yes	complemented
158	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
159	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
160	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
161	C₂×C₄²×D₅₃	C₂²	1	4	yes	complemented
162	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#542	C₂²	1	4	yes	complemented
164	C₅₃×#540	C₂²	1	4	yes	complemented
165	C₅₃×#538	C₂²	1	4	yes	complemented
166	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
167	C₅₃×#535	C₂²	1	2	yes	complemented
168	C₅₃×#532	C₂²	1	4	yes	complemented
169	C₅₃×#529	C₂²	1	4	yes	complemented
170	C₅₃×#525	C₂²	1	4	yes	complemented
171	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
172	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₅₃	C₂³	1	2	yes	—
174	C₂×#11719949	C₂³	1	2	yes	—
175	C₂×#11719949	C₂³	1	4	yes	complemented
176	C₂×#11719945	C₂³	1	4	yes	—
177	C₂×#11719945	C₂³	1	2	yes	—
178	C₂×#11719945	C₂³	1	8	yes	complemented
179	C₂×#11719945	C₂³	1	4	yes	complemented
180	C₂×#11719947	C₂³	1	2	yes	—
181	C₂×#11719947	C₂³	1	4	yes	—
182	C₂×#11719947	C₂³	1	8	yes	complemented
183	C₂×#11719947	C₂³	1	4	yes	complemented
184	#41×D₅₃	—	2	16	no	—
185	#41×D₅₃	—	4	16	no	—
186	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
187	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
188	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
190	C₂×D₄×D₅₃	—	2	8	no	—
191	C₂×D₄×D₅₃	C₂³	1	4	yes	—
192	C₂×D₄×D₅₃	C₂³	1	4	yes	—
193	C₂×D₄×D₅₃	C₂³	1	2	yes	—
194	C₂×D₄×D₅₃	C₂³	1	4	yes	—
195	C₂×D₄×D₅₃	C₂³	1	8	yes	—
196	C₂×D₄×D₅₃	C₂³	1	8	yes	—
197	C₂×D₄×D₅₃	C₂³	1	4	yes	—
198	C₂³×Dic₅₃	C₂³	1	2	yes	—
199	C₂²×C₄×D₅₃	—	4	8	no	—
200	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
202	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
203	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
204	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
206	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
207	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
208	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
209	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
210	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
211	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
213	#13133217	C₂³	1	4	yes	complemented
214	#13133216	C₂³	1	4	yes	complemented
215	#13133216	C₂³	1	8	yes	complemented
216	#13133216	C₂³	1	4	yes	complemented
217	#13133215	C₂³	1	8	yes	complemented
218	#13133214	C₂³	1	4	yes	—
219	#13133213	C₂³	1	4	yes	—
220	#13133213	C₂³	1	8	yes	—
221	#13133213	C₂³	1	4	yes	—
222	#13133213	C₂³	1	8	yes	—
223	#13133212	C₂³	1	8	yes	complemented
224	#13133212	C₂³	1	8	yes	complemented
225	#13133212	C₂³	1	8	yes	complemented
226	#13133211	C₂³	1	8	yes	complemented
227	#13133210	C₂³	1	8	yes	complemented
228	#13133210	C₂³	1	8	yes	complemented
229	#13133210	C₂³	1	8	yes	complemented
230	#13133209	C₂³	1	4	yes	complemented
231	#13133208	C₂³	1	4	yes	complemented
232	#13133208	C₂³	1	4	yes	complemented
233	#13133207	C₂³	1	8	yes	complemented
234	#13133207	C₂³	1	8	yes	complemented
235	#13133206	C₂³	1	4	yes	—
236	#13133206	C₂³	1	8	yes	complemented
237	#13133205	C₂³	1	4	yes	—
238	#13133205	C₂³	1	8	yes	complemented
239	#13133204	C₂³	1	4	yes	—
240	#13133204	C₂³	1	8	yes	complemented
241	#13133203	C₂³	1	8	yes	—
242	#13133203	C₂³	1	8	yes	—
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	8	yes	complemented
247	#13133202	C₂³	1	8	yes	complemented
248	#13133202	C₂³	1	8	yes	complemented
249	#13133202	C₂³	1	8	yes	complemented
250	#13133202	C₂³	1	8	yes	complemented
251	#13133201	C₂³	1	8	yes	complemented
252	#13133201	C₂³	1	8	yes	complemented
253	#13133200	C₂³	1	8	yes	complemented
254	#13133200	C₂³	1	8	yes	complemented
255	#13133199	C₂³	1	8	yes	complemented
256	#13133199	C₂³	1	8	yes	complemented
257	#13133199	C₂³	1	8	yes	complemented
258	#13133199	C₂³	1	8	yes	complemented
259	#13133198	C₂³	1	8	yes	complemented
260	#13133198	C₂³	1	8	yes	complemented
261	#13133197	C₂³	1	4	yes	—
262	#13133197	C₂³	1	4	yes	complemented
263	#13133197	C₂³	1	4	yes	complemented
264	#13133196	C₂³	1	4	yes	—
265	#13133196	C₂³	1	4	yes	complemented
266	#13133196	C₂³	1	4	yes	complemented
267	#13133195	C₂³	1	8	yes	—
268	#13133195	C₂³	1	8	yes	complemented
269	#13133195	C₂³	1	8	yes	complemented
270	#13133194	C₂³	1	8	yes	—
271	#13133194	C₂³	1	8	yes	complemented
272	#13133194	C₂³	1	8	yes	complemented
273	#13133193	C₂³	1	4	yes	—
274	#13133193	C₂³	1	4	yes	complemented
275	#13133193	C₂³	1	4	yes	complemented
276	#13133192	C₂³	1	4	yes	—
277	#13133192	C₂³	1	4	yes	—
278	#13133192	C₂³	1	4	yes	—
279	#13133192	C₂³	1	4	yes	complemented
280	#13133192	C₂³	1	4	yes	complemented
281	#13133192	C₂³	1	8	yes	complemented
282	#13133191	C₂³	1	4	yes	—
283	#13133191	C₂³	1	4	yes	—
284	#13133191	C₂³	1	4	yes	—
285	#13133191	C₂³	1	4	yes	complemented
286	#13133191	C₂³	1	4	yes	complemented
287	#13133191	C₂³	1	8	yes	complemented
288	#13133190	C₂³	1	8	yes	—
289	#13133190	C₂³	1	8	yes	—
290	#13133190	C₂³	1	8	yes	—
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	#13133189	C₂³	1	8	yes	—
296	#13133189	C₂³	1	8	yes	—
297	#13133189	C₂³	1	8	yes	—
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	#13133188	C₂³	1	4	yes	—
303	#13133188	C₂³	1	4	yes	—
304	#13133188	C₂³	1	4	yes	—
305	#13133188	C₂³	1	4	yes	complemented
306	#13133188	C₂³	1	4	yes	complemented
307	#13133188	C₂³	1	8	yes	complemented
308	#13133187	C₂³	1	8	yes	—
309	#13133187	C₂³	1	8	yes	—
310	#13133187	C₂³	1	8	yes	—
311	#13133186	C₂³	1	8	yes	—
312	#13133185	C₂³	1	8	yes	—
313	#13133185	C₂³	1	8	yes	—
314	#13133185	C₂³	1	8	yes	—
315	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
316	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
317	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
318	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
319	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
320	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
321	#13133182	C₂³	1	4	yes	complemented
322	#13133182	C₂³	1	2	yes	complemented
323	#13133182	C₂³	1	2	yes	complemented
324	#13133182	C₂³	1	4	yes	complemented
325	C₄×D₂₁₂	C₂³	1	4	yes	—
326	C₄×D₂₁₂	C₂³	1	4	yes	—
327	C₄×D₂₁₂	C₂³	1	4	yes	—
328	C₄×D₂₁₂	C₂³	1	4	yes	—
329	C₄×D₂₁₂	C₂³	1	2	yes	complemented
330	C₄×D₂₁₂	C₂³	1	2	yes	complemented
331	C₄×D₂₁₂	C₂³	1	8	yes	complemented
332	D₄×Dic₅₃	C₂³	1	4	yes	—
333	D₄×Dic₅₃	C₂³	1	4	yes	—
334	D₄×Dic₅₃	C₂³	1	4	yes	—
335	D₄×Dic₅₃	C₂³	1	4	yes	—
336	D₄×Dic₅₃	C₂³	1	2	yes	complemented
337	D₄×Dic₅₃	C₂³	1	2	yes	complemented
338	D₄×Dic₅₃	C₂³	1	8	yes	complemented
339	#13133179	C₂³	1	4	yes	—
340	#13133179	C₂³	1	4	yes	—
341	#13133179	C₂³	1	4	yes	—
342	#13133179	C₂³	1	4	yes	—
343	#13133179	C₂³	1	2	yes	complemented
344	#13133179	C₂³	1	2	yes	complemented
345	#13133179	C₂³	1	8	yes	complemented
346	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
347	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
348	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
349	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
350	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
351	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
352	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
353	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
354	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
355	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
356	#13133177	C₂³	1	8	yes	—
357	#13133177	C₂³	1	8	yes	—
358	#13133177	C₂³	1	4	yes	—
359	#13133177	C₂³	1	4	yes	—
360	#13133177	C₂³	1	4	yes	—
361	#13133177	C₂³	1	4	yes	—
362	#13133177	C₂³	1	4	yes	complemented
363	#13133177	C₂³	1	4	yes	complemented
364	#13133177	C₂³	1	8	yes	complemented
365	#13133177	C₂³	1	8	yes	complemented
366	#13133176	C₂³	1	2	yes	—
367	#13133176	C₂³	1	4	yes	complemented
368	#13133176	C₂³	1	4	yes	complemented
369	#13133175	C₂³	1	2	yes	—
370	#13133175	C₂³	1	2	yes	—
371	#13133175	C₂³	1	4	yes	complemented
372	#13133175	C₂³	1	4	yes	complemented
373	#13133175	C₂³	1	4	yes	complemented
374	#13133175	C₂³	1	4	yes	complemented
375	#13133174	C₂³	1	4	yes	—
376	#13133174	C₂³	1	4	yes	complemented
377	#13133174	C₂³	1	4	yes	complemented
378	#13133174	C₂³	1	8	yes	complemented
379	#13133173	C₂³	1	4	yes	—
380	#13133173	C₂³	1	4	yes	complemented
381	#13133173	C₂³	1	4	yes	complemented
382	#13133173	C₂³	1	8	yes	complemented
383	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
384	C₂×#11719919	C₂³	1	2	yes	—
385	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
386	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
387	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
388	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
389	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
390	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
391	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
392	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
393	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
394	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
395	C₂×#11719921	C₂³	1	2	yes	—
396	C₂×#11719921	C₂³	1	2	yes	—
397	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
398	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
399	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
400	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
401	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
402	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
403	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
404	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
405	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
406	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
407	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
408	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
409	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
410	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
411	C₄²×D₅₃	C₂³	1	2	yes	—
412	C₄²×D₅₃	C₂³	1	2	yes	—
413	C₄²×D₅₃	C₂³	1	2	yes	—
414	C₄²×D₅₃	C₂³	1	2	yes	—
415	C₄²×D₅₃	C₂³	1	4	yes	—
416	C₄²×D₅₃	C₂³	1	4	yes	—
417	C₄²×D₅₃	C₂³	1	4	yes	—
418	C₄²×D₅₃	C₂³	1	4	yes	complemented
419	C₄²×D₅₃	C₂³	1	4	yes	complemented
420	C₄²×D₅₃	C₂³	1	4	yes	complemented
421	C₄²×D₅₃	C₂³	1	4	yes	complemented
422	C₂×#41×C₅₃	C₂³	1	2	yes	—
423	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
424	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
425	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
426	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
427	#127×C₅₃	C₂³	1	4	yes	—
428	#126×C₅₃	C₂³	1	8	yes	complemented
429	#125×C₅₃	C₂³	1	4	yes	complemented
430	#124×C₅₃	C₂³	1	4	yes	—
431	#124×C₅₃	C₂³	1	8	yes	complemented
432	#123×C₅₃	C₂³	1	8	yes	complemented
433	#123×C₅₃	C₂³	1	8	yes	complemented
434	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
435	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
436	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
437	#121×C₅₃	C₂³	1	4	yes	—
438	#121×C₅₃	C₂³	1	4	yes	—
439	#121×C₅₃	C₂³	1	4	yes	—
440	#121×C₅₃	C₂³	1	4	yes	complemented
441	#121×C₅₃	C₂³	1	4	yes	complemented
442	#121×C₅₃	C₂³	1	8	yes	complemented
443	#120×C₅₃	C₂³	1	8	yes	—
444	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
445	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
446	C₄×D₄×C₅₃	C₂³	1	4	yes	—
447	C₄×D₄×C₅₃	C₂³	1	4	yes	—
448	C₄×D₄×C₅₃	C₂³	1	4	yes	—
449	C₄×D₄×C₅₃	C₂³	1	4	yes	—
450	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
451	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
452	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
453	#117×C₅₃	C₂³	1	2	yes	—
454	#117×C₅₃	C₂³	1	4	yes	complemented
455	#117×C₅₃	C₂³	1	4	yes	complemented
456	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
457	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
458	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
459	C₂×C₄²×C₅₃	C₂³	1	4	yes	complemented
460	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
461	C₂³×D₅₃	—	2	8	no	—
462	C₂³×D₅₃	—	4	4	no	—
463	C₂³×D₅₃	—	4	4	no	—
464	C₂³×D₅₃	C₂⁴	1	4	yes	—
465	C₂³×D₅₃	C₂⁴	1	4	yes	—
466	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
467	C₂³×D₅₃	C₂⁴	1	4	yes	—
468	C₂³×D₅₃	C₂⁴	1	2	yes	—
469	#41×C₅₃	—	2	8	no	—
470	#41×C₅₃	—	4	8	no	—
471	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
472	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
473	C₂×D₄×C₅₃	—	2	4	no	—
474	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
475	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
476	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
477	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
478	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
479	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
480	C₂²×C₄×C₅₃	—	4	4	no	—
481	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
490	C₂×C₂²⋊D₅₃	—	2	8	no	—
491	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
492	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
493	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
494	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
495	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
496	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
497	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
498	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
499	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
500	C₂²×Dic₅₃	—	4	4	no	—
501	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
502	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
503	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
504	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
505	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
506	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
507	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
508	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
509	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
510	#11719949	—	2	8	no	—
511	#11719949	—	4	8	no	—
512	Q₈×D₅₃	—	2	8	no	—
513	Q₈×D₅₃	—	4	8	no	—
514	#11719947	—	2	16	no	—
515	#11719947	—	2	8	no	—
516	#11719947	—	4	8	no	—
517	#11719947	—	4	16	no	—
518	D₄×D₅₃	—	2	16	no	—
519	D₄×D₅₃	—	2	16	no	—
520	D₄×D₅₃	—	2	8	no	—
521	D₄×D₅₃	—	2	16	no	—
522	D₄×D₅₃	—	4	16	no	—
523	D₄×D₅₃	—	4	8	no	—
524	D₄×D₅₃	—	4	16	no	—
525	#11719945	—	2	8	no	—
526	#11719945	—	2	16	no	—
527	#11719945	—	4	16	no	—
528	#11719945	—	4	8	no	—
529	C₂×D₂₁₂	—	2	4	no	—
530	C₂×D₂₁₂	C₂⁴	1	4	yes	—
531	C₂×D₂₁₂	C₂⁴	1	4	yes	—
532	C₂×D₂₁₂	C₂⁴	1	2	yes	—
533	C₂×D₂₁₂	C₂⁴	1	8	yes	—
534	C₂×D₂₁₂	C₂⁴	1	8	yes	—
535	C₂×D₂₁₂	C₂⁴	1	4	yes	—
536	C₂×C₄×D₅₃	—	2	16	no	—
537	C₂×C₄×D₅₃	—	2	4	no	—
538	C₂×C₄×D₅₃	—	2	16	no	—
539	C₂×C₄×D₅₃	—	2	16	no	—
540	C₂×C₄×D₅₃	—	4	8	no	—
541	C₂×C₄×D₅₃	—	4	4	no	—
542	C₂×C₄×D₅₃	—	4	8	no	—
543	C₂×C₄×D₅₃	—	4	4	no	—
544	C₂×C₄×D₅₃	—	4	8	no	—
545	C₂×C₄×D₅₃	—	4	4	no	—
546	C₂×C₄×D₅₃	—	4	2	no	—
547	C₂×C₄×D₅₃	—	4	8	no	—
548	C₂×C₄×D₅₃	#41	1	8	yes	complemented
549	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
550	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
551	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
552	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
554	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
557	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
558	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
559	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
560	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
561	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
562	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
563	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
564	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
565	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
566	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
567	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
568	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
569	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
570	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
571	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
573	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
574	C₂×Dic₁₀₆	C₂⁴	1	8	yes	—
575	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
576	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
577	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
578	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
579	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
580	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
581	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
583	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
584	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
585	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
586	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
587	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
588	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
589	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
590	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
591	C₄²×C₅₃	C₂⁴	1	2	yes	—
592	C₄²×C₅₃	C₂⁴	1	2	yes	—
593	C₄²×C₅₃	C₂⁴	1	4	yes	—
594	C₄²×C₅₃	C₂⁴	1	4	yes	—
595	C₄²×C₅₃	C₂⁴	1	4	yes	—
596	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
597	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
598	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
599	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
600	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
601	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
602	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
603	#11719921	C₂⁴	1	8	yes	—
604	#11719921	C₂⁴	1	8	yes	—
605	#11719921	C₂⁴	1	4	yes	—
606	#11719921	C₂⁴	1	4	yes	—
607	#11719921	C₂⁴	1	4	yes	—
608	#11719921	C₂⁴	1	4	yes	—
609	#11719921	C₂⁴	1	4	yes	—
610	#11719921	C₂⁴	1	4	yes	—
611	#11719921	C₂⁴	1	8	yes	—
612	#11719921	C₂⁴	1	8	yes	—
613	#11719921	C₂⁴	1	8	yes	—
614	#11719921	C₂⁴	1	8	yes	—
615	#11719921	C₂⁴	1	8	yes	—
616	#11719921	C₂⁴	1	8	yes	—
617	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
618	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
619	C₄⋊Dic₅₃	C₂⁴	1	2	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	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
625	#11719919	C₂⁴	1	8	yes	—
626	#11719919	C₂⁴	1	4	yes	—
627	#11719919	C₂⁴	1	4	yes	—
628	#11719919	C₂⁴	1	4	yes	—
629	#11719919	C₂⁴	1	4	yes	—
630	#11719919	C₂⁴	1	4	yes	—
631	#11719919	C₂⁴	1	4	yes	—
632	#11719919	C₂⁴	1	8	yes	—
633	#11719919	C₂⁴	1	8	yes	—
634	#11719919	C₂⁴	1	8	yes	—
635	#11719919	C₂⁴	1	8	yes	—
636	C₄×Dic₅₃	C₂⁴	1	2	yes	—
637	C₄×Dic₅₃	C₂⁴	1	2	yes	—
638	C₄×Dic₅₃	C₂⁴	1	2	yes	—
639	C₄×Dic₅₃	C₂⁴	1	2	yes	—
640	C₄×Dic₅₃	C₂⁴	1	2	yes	—
641	C₄×Dic₅₃	C₂⁴	1	2	yes	—
642	C₄×Dic₅₃	C₂⁴	1	4	yes	—
643	C₄×Dic₅₃	C₂⁴	1	4	yes	—
644	C₄×Dic₅₃	C₂⁴	1	4	yes	—
645	C₄×Dic₅₃	C₂⁴	1	4	yes	—
646	C₄×Dic₅₃	C₂⁴	1	4	yes	—
647	C₄×Dic₅₃	C₂⁴	1	4	yes	—
648	C₄×Dic₅₃	C₂⁴	1	4	yes	—
649	C₄×Dic₅₃	C₂⁴	1	4	yes	—
650	C₄×Dic₅₃	C₂⁴	1	4	yes	—
651	C₂³×C₅₃	—	2	4	no	—
652	C₂³×C₅₃	—	4	2	no	—
653	C₂³×C₅₃	—	4	2	no	—
654	C₂³×C₅₃	C₂⁵	1	4	yes	—
655	C₂³×C₅₃	C₂⁵	1	4	yes	—
656	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
657	C₂²×D₅₃	—	2	2	no	—
658	C₂²×D₅₃	—	2	2	no	—
659	C₂²×D₅₃	—	2	4	no	—
660	C₂²×D₅₃	—	2	8	no	—
661	C₂²×D₅₃	—	2	8	no	—
662	C₂²×D₅₃	—	2	8	no	—
663	C₂²×D₅₃	—	2	8	no	—
664	C₂²×D₅₃	—	2	8	no	—
665	C₂²×D₅₃	—	2	8	no	—
666	C₂²×D₅₃	—	2	8	no	—
667	C₂²×D₅₃	—	4	4	no	—
668	C₂²×D₅₃	—	4	2	no	—
669	C₂²×D₅₃	—	4	4	no	—
670	C₂²×D₅₃	—	4	2	no	—
671	C₂²×D₅₃	—	4	32	no	—
672	C₂²×D₅₃	C₂×#41	1	4	yes	—
673	C₂²×D₅₃	C₂⁵	1	4	yes	—
674	C₂²×D₅₃	C₂⁵	1	4	yes	—
675	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
676	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
677	Q₈×C₅₃	—	2	4	no	—
678	Q₈×C₅₃	—	4	4	no	—
679	D₄×C₅₃	—	2	8	no	—
680	D₄×C₅₃	—	2	8	no	—
681	D₄×C₅₃	—	2	4	no	—
682	D₄×C₅₃	—	4	8	no	—
683	D₄×C₅₃	—	4	4	no	—
684	D₄×C₅₃	—	4	8	no	—
685	C₂×C₄×C₅₃	—	2	8	no	—
686	C₂×C₄×C₅₃	—	2	2	no	—
687	C₂×C₄×C₅₃	—	2	8	no	—
688	C₂×C₄×C₅₃	—	2	8	no	—
689	C₂×C₄×C₅₃	—	4	2	no	—
690	C₂×C₄×C₅₃	—	4	4	no	—
691	C₂×C₄×C₅₃	—	4	1	no	—
692	C₂×C₄×C₅₃	—	4	4	no	—
693	C₂×C₄×C₅₃	C₂×#41	1	4	yes	complemented
694	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
695	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
696	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
697	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
698	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
699	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
700	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
701	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
702	C₂²⋊D₅₃	—	2	8	no	—
703	C₂²⋊D₅₃	—	2	8	no	—
704	C₂²⋊D₅₃	—	2	8	no	—
705	C₂²⋊D₅₃	—	2	16	no	—
706	C₂²⋊D₅₃	—	4	8	no	—
707	C₂²⋊D₅₃	—	4	8	no	—
708	C₂²⋊D₅₃	—	4	8	no	—
709	C₂²⋊D₅₃	—	4	8	no	—
710	C₂²⋊D₅₃	—	4	8	no	—
711	C₂×Dic₅₃	—	2	8	no	—
712	C₂×Dic₅₃	—	2	2	no	—
713	C₂×Dic₅₃	—	2	8	no	—
714	C₂×Dic₅₃	—	2	8	no	—
715	C₂×Dic₅₃	—	4	2	no	—
716	C₂×Dic₅₃	—	4	4	no	—
717	C₂×Dic₅₃	—	4	1	no	—
718	C₂×Dic₅₃	—	4	4	no	—
719	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
720	C₂×Dic₅₃	C₂⁵	1	4	yes	—
721	C₂×Dic₅₃	C₂⁵	1	4	yes	—
722	C₂×Dic₅₃	C₂⁵	1	4	yes	—
723	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
724	C₂×Dic₅₃	C₂⁵	1	2	yes	—
725	C₂×Dic₅₃	C₂⁵	1	4	yes	—
726	C₂×Dic₅₃	C₂⁵	1	2	yes	—
727	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
728	D₂₁₂	—	2	8	no	—
729	D₂₁₂	—	2	8	no	—
730	D₂₁₂	—	2	4	no	—
731	D₂₁₂	—	4	8	no	—
732	D₂₁₂	—	4	4	no	—
733	D₂₁₂	—	4	8	no	—
734	C₄×D₅₃	—	2	8	no	—
735	C₄×D₅₃	—	2	2	no	—
736	C₄×D₅₃	—	2	8	no	—
737	C₄×D₅₃	—	2	8	no	—
738	C₄×D₅₃	—	2	4	no	—
739	C₄×D₅₃	—	2	8	no	—
740	C₄×D₅₃	—	2	8	no	—
741	C₄×D₅₃	—	2	2	no	—
742	C₄×D₅₃	—	2	8	no	—
743	C₄×D₅₃	—	2	8	no	—
744	C₄×D₅₃	—	2	8	no	—
745	C₄×D₅₃	—	2	2	no	—
746	C₄×D₅₃	—	2	8	no	—
747	C₄×D₅₃	—	2	8	no	—
748	C₄×D₅₃	—	4	4	no	—
749	C₄×D₅₃	—	4	4	no	—
750	C₄×D₅₃	—	4	4	no	—
751	C₄×D₅₃	—	4	2	no	—
752	C₄×D₅₃	—	4	4	no	—
753	C₄×D₅₃	—	4	4	no	—
754	C₄×D₅₃	C₂×#41	1	8	yes	—
755	C₄×D₅₃	C₂×#41	1	8	yes	complemented
756	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
757	Dic₁₀₆	—	2	4	no	—
758	Dic₁₀₆	—	2	8	no	—
759	Dic₁₀₆	—	4	4	no	—
760	Dic₁₀₆	—	4	8	no	—
761	C₂×#3460	—	53	1	no	maximal, Sylow
762	C₂²×C₅₃	—	2	1	no	—
763	C₂²×C₅₃	—	2	1	no	—
764	C₂²×C₅₃	—	2	4	no	—
765	C₂²×C₅₃	—	2	4	no	—
766	C₂²×C₅₃	—	2	4	no	—
767	C₂²×C₅₃	—	2	4	no	—
768	C₂²×C₅₃	—	2	4	no	—
769	C₂²×C₅₃	—	2	4	no	—
770	C₂²×C₅₃	—	4	8	no	—
771	C₂²×C₅₃	C₂²×#41	1	2	yes	—
772	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
773	C₂×D₅₃	—	2	1	no	—
774	C₂×D₅₃	—	2	1	no	—
775	C₂×D₅₃	—	2	8	no	—
776	C₂×D₅₃	—	2	4	no	—
777	C₂×D₅₃	—	2	4	no	—
778	C₂×D₅₃	—	2	4	no	—
779	C₂×D₅₃	—	2	4	no	—
780	C₂×D₅₃	—	2	4	no	—
781	C₂×D₅₃	—	2	4	no	—
782	C₂×D₅₃	—	4	16	no	—
783	C₂×D₅₃	—	4	8	no	—
784	C₂×D₅₃	—	4	16	no	—
785	C₂×D₅₃	—	4	16	no	—
786	C₂×D₅₃	C₂²×#41	1	2	yes	—
787	C₂×D₅₃	C₂²×#41	1	2	yes	—
788	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
789	C₂×D₅₃	#585	1	2	yes	—
790	C₄×C₅₃	—	2	4	no	—
791	C₄×C₅₃	—	2	4	no	—
792	C₄×C₅₃	—	2	4	no	—
793	C₄×C₅₃	—	2	1	no	—
794	C₄×C₅₃	—	2	2	no	—
795	C₄×C₅₃	—	2	4	no	—
796	C₄×C₅₃	C₂²×#41	1	4	yes	—
797	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
798	Dic₅₃	—	2	4	no	—
799	Dic₅₃	—	2	4	no	—
800	Dic₅₃	—	2	4	no	—
801	Dic₅₃	—	2	1	no	—
802	Dic₅₃	—	2	2	no	—
803	Dic₅₃	—	2	4	no	—
804	Dic₅₃	C₂²×#41	1	4	yes	—
805	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
806	#3460	—	53	1	no	—
807	#3460	—	53	4	no	—
808	#3460	—	53	4	no	—
809	#3460	—	53	4	no	—
810	#3460	—	53	1	no	—
811	#3460	—	53	2	no	—
812	#3460	—	53	4	no	—
813	#3460	—	53	4	no	—
814	#3460	—	53	4	no	—
815	#3460	—	53	2	no	—
816	#3460	—	53	1	no	—
817	#3460	D₅₃	1	1	yes	characteristic, direct product factor
818	C₂×#544	—	53	1	no	—
819	C₂×#542	—	53	4	no	—
820	C₂×#540	—	53	4	no	—
821	C₂×#538	—	53	4	no	—
822	C₂×#537	—	53	1	no	—
823	C₂×#535	—	53	2	no	—
824	C₂×#532	—	53	4	no	—
825	C₂×#529	—	53	4	no	—
826	C₂×#525	—	53	4	no	—
827	C₂×C₄×#41	—	53	2	no	—
828	C₂²×C₄×D₄	—	53	1	no	—
829	C₂×C₅₃	—	2	2	no	—
830	C₂×C₅₃	—	4	4	no	—
831	C₂×C₅₃	—	4	4	no	—
832	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
833	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
834	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
835	D₅₃	—	2	2	no	—
836	D₅₃	—	4	4	no	—
837	D₅₃	—	4	4	no	—
838	D₅₃	#3460	1	4	yes	direct product factor
839	C₂²×#41	—	53	2	no	—
840	C₂²×#41	—	53	4	no	—
841	C₂³×D₄	—	53	1	no	—
842	C₂⁴×C₄	—	53	2	no	—
843	#544	—	53	4	no	—
844	#544	—	53	4	no	—
845	#544	—	53	4	no	—
846	#544	—	53	2	no	—
847	#544	—	53	1	no	—
848	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
849	#542	—	53	4	no	—
850	#542	—	53	8	no	—
851	#542	—	53	4	no	—
852	#542	—	53	8	no	—
853	#542	—	53	8	no	—
854	#542	—	53	8	no	—
855	#542	—	53	4	no	—
856	#542	—	53	4	no	—
857	#542	—	53	4	no	—
858	#542	—	53	4	no	—
859	#542	—	53	4	no	—
860	#542	C₂×D₅₃	1	4	yes	complemented
861	#540	—	53	4	no	—
862	#540	—	53	4	no	—
863	#540	—	53	8	no	—
864	#540	—	53	8	no	—
865	#540	—	53	4	no	—
866	#540	—	53	8	no	—
867	#540	—	53	8	no	—
868	#540	—	53	4	no	—
869	#540	—	53	4	no	—
870	#540	—	53	4	no	—
871	#540	—	53	4	no	—
872	#540	C₂×D₅₃	1	4	yes	complemented
873	#538	—	53	8	no	—
874	#538	—	53	8	no	—
875	#538	—	53	8	no	—
876	#538	—	53	4	no	—
877	#538	—	53	4	no	—
878	#538	—	53	8	no	—
879	#538	—	53	8	no	—
880	#538	—	53	8	no	—
881	#538	—	53	4	no	—
882	#538	C₂×D₅₃	1	4	yes	complemented
883	#537	—	53	2	no	—
884	#537	—	53	4	no	—
885	#537	—	53	4	no	—
886	#537	—	53	4	no	—
887	#537	—	53	1	no	—
888	#537	C₂×D₅₃	1	1	yes	characteristic, complemented
889	#535	—	53	2	no	—
890	#535	—	53	2	no	—
891	#535	—	53	4	no	—
892	#535	—	53	4	no	—
893	#535	—	53	4	no	—
894	#535	—	53	4	no	—
895	#535	—	53	8	no	—
896	#535	—	53	2	no	—
897	#535	C₂×D₅₃	1	2	yes	complemented
898	#532	—	53	8	no	—
899	#532	—	53	4	no	—
900	#532	—	53	4	no	—
901	#532	—	53	8	no	—
902	#532	—	53	4	no	—
903	#532	—	53	4	no	—
904	#532	—	53	8	no	—
905	#532	—	53	4	no	—
906	#532	—	53	8	no	—
907	#532	—	53	4	no	—
908	#532	—	53	4	no	—
909	#532	C₂×D₅₃	1	4	yes	complemented
910	C₂×C₄⋊Q₈	—	53	4	no	—
911	C₂×#127	—	53	4	no	—
912	#529	—	53	8	no	—
913	#529	—	53	4	no	—
914	#529	—	53	4	no	—
915	#529	—	53	8	no	—
916	#529	—	53	4	no	—
917	#529	—	53	4	no	—
918	#529	—	53	4	no	—
919	#529	—	53	4	no	—
920	#529	—	53	8	no	—
921	#529	—	53	8	no	—
922	#529	—	53	4	no	—
923	#529	C₂×D₅₃	1	4	yes	complemented
924	C₂×#126	—	53	8	no	—
925	C₂×#125	—	53	4	no	—
926	C₂×#124	—	53	4	no	—
927	C₂×#124	—	53	8	no	—
928	#525	—	53	4	no	—
929	#525	—	53	4	no	—
930	#525	—	53	8	no	—
931	#525	—	53	4	no	—
932	#525	—	53	4	no	—
933	#525	—	53	4	no	—
934	#525	—	53	4	no	—
935	#525	—	53	8	no	—
936	#525	—	53	8	no	—
937	#525	—	53	8	no	—
938	#525	—	53	4	no	—
939	#525	C₂×D₅₃	1	4	yes	complemented
940	C₂×#123	—	53	8	no	—
941	C₂×#123	—	53	8	no	—
942	C₂×C₂²⋊Q₈	—	53	4	no	—
943	C₂×C₂²⋊Q₈	—	53	4	no	—
944	C₂×C₂²⋊Q₈	—	53	4	no	—
945	C₂×#121	—	53	4	no	—
946	C₂×#121	—	53	4	no	—
947	C₂×#121	—	53	4	no	—
948	C₂×#121	—	53	4	no	—
949	C₂×#121	—	53	4	no	—
950	C₂×#121	—	53	8	no	—
951	C₂×#120	—	53	8	no	—
952	C₄×#41	—	53	2	no	—
953	C₄×#41	—	53	2	no	—
954	C₄×#41	—	53	2	no	—
955	C₄×#41	—	53	4	no	—
956	C₄×#41	—	53	4	no	—
957	C₄×#41	—	53	2	no	—
958	C₄×#41	—	53	2	no	—
959	C₄×#41	—	53	2	no	—
960	C₄×#41	—	53	4	no	—
961	C₄×#41	—	53	2	no	—
962	C₄×#41	—	53	4	no	—
963	C₄×#41	C₂×D₅₃	1	2	yes	complemented
964	C₂×C₄×Q₈	—	53	2	no	—
965	C₂×C₄×Q₈	—	53	2	no	—
966	C₂×C₄×D₄	—	53	1	no	—
967	C₂×C₄×D₄	—	53	2	no	—
968	C₂×C₄×D₄	—	53	4	no	—
969	C₂×C₄×D₄	—	53	4	no	—
970	C₂×C₄×D₄	—	53	4	no	—
971	C₂×C₄×D₄	—	53	4	no	—
972	C₂×C₄×D₄	—	53	4	no	—
973	C₂×C₄×D₄	—	53	4	no	—
974	C₂×C₄×D₄	—	53	2	no	—
975	C₂×C₄×D₄	—	53	2	no	—
976	C₂×C₄×D₄	—	53	8	no	—
977	C₂×C₄×D₄	—	53	1	no	—
978	C₂×C₄×D₄	—	53	2	no	—
979	C₂×C₄×D₄	—	53	1	no	—
980	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
981	C₂×#117	—	53	2	no	—
982	C₂×#117	—	53	4	no	—
983	C₂×#117	—	53	4	no	—
984	C₂²×C₄⋊C₄	—	53	1	no	—
985	C₂²×C₂²⋊C₄	—	53	2	no	—
986	C₂²×C₄²	—	53	1	no	—
987	C₂²×C₄²	—	53	4	no	—
988	C₅₃	C₂×#3460	1	1	yes	characteristic, complemented, Sylow
989	C₂⁵	—	53	2	no	—
990	C₂×#41	—	53	2	no	—
991	C₂×#41	—	53	4	no	—
992	C₂×#41	—	53	4	no	—
993	C₂×#41	—	53	2	no	—
994	C₂×#41	—	53	4	no	—
995	C₂×#41	—	53	8	no	—
996	C₂×#41	—	53	4	no	—
997	C₂×#41	—	53	2	no	—
998	C₂×#41	—	53	4	no	—
999	C₂×#41	—	53	8	no	—
1000	C₂×#41	—	106	16	no	—
1001	C₂×#41	—	212	16	no	—
1002	C₂×#41	C₂²×D₅₃	1	2	yes	—
1003	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1004	C₂²×Q₈	—	53	2	no	—
1005	C₂²×Q₈	—	53	4	no	—
1006	C₂²×D₄	—	53	2	no	—
1007	C₂²×D₄	—	53	4	no	—
1008	C₂²×D₄	—	53	4	no	—
1009	C₂²×D₄	—	53	2	no	—
1010	C₂²×D₄	—	53	4	no	—
1011	C₂²×D₄	—	53	8	no	—
1012	C₂²×D₄	—	53	8	no	—
1013	C₂²×D₄	—	53	4	no	—
1014	C₂²×D₄	—	53	1	no	—
1015	C₂²×D₄	—	106	8	no	—
1016	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1017	C₂³×C₄	—	53	1	no	—
1018	C₂³×C₄	—	53	2	no	—
1019	C₂³×C₄	—	53	4	no	—
1020	C₂³×C₄	—	53	4	no	—
1021	C₂³×C₄	—	53	1	no	—
1022	C₂³×C₄	—	53	4	no	—
1023	C₂³×C₄	—	53	1	no	—
1024	C₂³×C₄	—	53	2	no	—
1025	C₂³×C₄	—	53	4	no	—
1026	C₂³×C₄	—	53	4	no	—
1027	C₂³×C₄	—	53	2	no	—
1028	C₂³×C₄	—	53	4	no	—
1029	C₂³×C₄	—	53	2	no	—
1030	C₂³×C₄	—	53	4	no	—
1031	C₂³×C₄	—	212	8	no	—
1032	C₂³×C₄	C₂²×D₅₃	1	2	yes	—
1033	C₄⋊Q₈	—	53	8	no	—
1034	C₄⋊Q₈	—	53	8	no	—
1035	C₄⋊Q₈	—	53	4	no	—
1036	C₄⋊Q₈	—	53	4	no	—
1037	C₄⋊Q₈	—	53	4	no	—
1038	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1039	#127	—	53	8	no	—
1040	#127	—	53	8	no	—
1041	#127	—	53	4	no	—
1042	#127	—	53	4	no	—
1043	#127	—	53	4	no	—
1044	#127	C₂²×D₅₃	1	4	yes	—
1045	#126	—	53	8	no	—
1046	#126	—	53	8	no	—
1047	#126	—	53	8	no	—
1048	#126	—	53	8	no	—
1049	#126	—	53	8	no	—
1050	#126	—	53	8	no	—
1051	#126	—	53	8	no	—
1052	#126	C₂²×D₅₃	1	8	yes	complemented
1053	#125	—	53	8	no	—
1054	#125	—	53	8	no	—
1055	#125	—	53	4	no	—
1056	#125	—	53	4	no	—
1057	#125	—	53	4	no	—
1058	#125	C₂²×D₅₃	1	4	yes	complemented
1059	#124	—	53	4	no	—
1060	#124	—	53	8	no	—
1061	#124	—	53	4	no	—
1062	#124	—	53	8	no	—
1063	#124	—	53	8	no	—
1064	#124	—	53	8	no	—
1065	#124	—	53	8	no	—
1066	#124	—	53	8	no	—
1067	#124	—	53	8	no	—
1068	#124	—	53	8	no	—
1069	#124	—	53	4	no	—
1070	#124	—	53	8	no	—
1071	#124	C₂²×D₅₃	1	4	yes	—
1072	#124	C₂²×D₅₃	1	8	yes	complemented
1073	#123	—	53	8	no	—
1074	#123	—	53	8	no	—
1075	#123	—	53	8	no	—
1076	#123	—	53	8	no	—
1077	#123	—	53	8	no	—
1078	#123	—	53	8	no	—
1079	#123	—	53	8	no	—
1080	#123	—	53	8	no	—
1081	#123	—	53	8	no	—
1082	#123	—	53	8	no	—
1083	#123	—	53	8	no	—
1084	#123	—	53	8	no	—
1085	#123	—	53	8	no	—
1086	#123	—	53	8	no	—
1087	#123	C₂²×D₅₃	1	8	yes	complemented
1088	#123	C₂²×D₅₃	1	8	yes	complemented
1089	C₂²⋊Q₈	—	53	4	no	—
1090	C₂²⋊Q₈	—	53	4	no	—
1091	C₂²⋊Q₈	—	53	4	no	—
1092	C₂²⋊Q₈	—	53	4	no	—
1093	C₂²⋊Q₈	—	53	4	no	—
1094	C₂²⋊Q₈	—	53	4	no	—
1095	C₂²⋊Q₈	—	53	8	no	—
1096	C₂²⋊Q₈	—	53	4	no	—
1097	C₂²⋊Q₈	—	53	8	no	—
1098	C₂²⋊Q₈	—	53	4	no	—
1099	C₂²⋊Q₈	—	53	8	no	—
1100	C₂²⋊Q₈	—	53	4	no	—
1101	C₂²⋊Q₈	—	53	8	no	—
1102	C₂²⋊Q₈	—	53	8	no	—
1103	C₂²⋊Q₈	—	53	8	no	—
1104	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1105	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1106	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1107	#121	—	53	4	no	—
1108	#121	—	53	8	no	—
1109	#121	—	53	4	no	—
1110	#121	—	53	8	no	—
1111	#121	—	53	4	no	—
1112	#121	—	53	8	no	—
1113	#121	—	53	4	no	—
1114	#121	—	53	8	no	—
1115	#121	—	53	4	no	—
1116	#121	—	53	8	no	—
1117	#121	—	53	8	no	—
1118	#121	—	53	8	no	—
1119	#121	—	53	8	no	—
1120	#121	—	53	4	no	—
1121	#121	—	53	4	no	—
1122	#121	—	53	4	no	—
1123	#121	—	53	4	no	—
1124	#121	—	53	4	no	—
1125	#121	—	53	8	no	—
1126	#121	—	53	4	no	—
1127	#121	—	53	4	no	—
1128	#121	—	53	4	no	—
1129	#121	—	53	4	no	—
1130	#121	—	53	4	no	—
1131	#121	—	53	8	no	—
1132	#121	—	53	8	no	—
1133	#121	—	53	8	no	—
1134	#121	—	53	8	no	—
1135	#121	—	53	8	no	—
1136	#121	—	53	8	no	—
1137	#121	—	53	8	no	—
1138	#121	—	53	8	no	—
1139	#121	C₂²×D₅₃	1	4	yes	—
1140	#121	C₂²×D₅₃	1	4	yes	—
1141	#121	C₂²×D₅₃	1	4	yes	—
1142	#121	C₂²×D₅₃	1	4	yes	complemented
1143	#121	C₂²×D₅₃	1	4	yes	complemented
1144	#121	C₂²×D₅₃	1	8	yes	complemented
1145	#120	—	53	8	no	—
1146	#120	—	53	8	no	—
1147	#120	—	53	8	no	—
1148	#120	—	53	8	no	—
1149	#120	—	53	8	no	—
1150	#120	—	53	8	no	—
1151	#120	—	53	8	no	—
1152	#120	C₂²×D₅₃	1	8	yes	—
1153	C₄×Q₈	—	53	2	no	—
1154	C₄×Q₈	—	53	2	no	—
1155	C₄×Q₈	—	53	4	no	—
1156	C₄×Q₈	—	53	2	no	—
1157	C₄×Q₈	—	53	4	no	—
1158	C₄×Q₈	—	53	2	no	—
1159	C₄×Q₈	—	53	4	no	—
1160	C₄×Q₈	—	53	2	no	—
1161	C₄×Q₈	—	53	4	no	—
1162	C₄×Q₈	—	53	2	no	—
1163	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1164	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
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	2	no	—
1171	C₄×D₄	—	53	8	no	—
1172	C₄×D₄	—	53	8	no	—
1173	C₄×D₄	—	53	8	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	4	no	—
1179	C₄×D₄	—	53	4	no	—
1180	C₄×D₄	—	53	8	no	—
1181	C₄×D₄	—	53	8	no	—
1182	C₄×D₄	—	53	4	no	—
1183	C₄×D₄	—	53	4	no	—
1184	C₄×D₄	—	53	4	no	—
1185	C₄×D₄	—	53	2	no	—
1186	C₄×D₄	—	53	4	no	—
1187	C₄×D₄	—	53	2	no	—
1188	C₄×D₄	—	53	8	no	—
1189	C₄×D₄	—	53	8	no	—
1190	C₄×D₄	—	53	8	no	—
1191	C₄×D₄	—	53	4	no	—
1192	C₄×D₄	—	53	4	no	—
1193	C₄×D₄	—	53	4	no	—
1194	C₄×D₄	—	53	4	no	—
1195	C₄×D₄	—	53	4	no	—
1196	C₄×D₄	—	53	4	no	—
1197	C₄×D₄	—	53	8	no	—
1198	C₄×D₄	—	53	8	no	—
1199	C₄×D₄	—	53	4	no	—
1200	C₄×D₄	—	53	4	no	—
1201	C₄×D₄	—	53	4	no	—
1202	C₄×D₄	—	53	2	no	—
1203	C₄×D₄	—	53	4	no	—
1204	C₄×D₄	—	53	2	no	—
1205	C₄×D₄	—	53	8	no	—
1206	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1207	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1208	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1209	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1210	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1211	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1212	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1213	#117	—	53	2	no	—
1214	#117	—	53	4	no	—
1215	#117	—	53	4	no	—
1216	#117	—	53	2	no	—
1217	#117	—	53	2	no	—
1218	#117	—	53	4	no	—
1219	#117	—	53	4	no	—
1220	#117	—	53	4	no	—
1221	#117	—	53	4	no	—
1222	#117	—	53	4	no	—
1223	#117	—	53	4	no	—
1224	#117	—	53	4	no	—
1225	#117	—	53	8	no	—
1226	#117	—	53	4	no	—
1227	#117	—	53	4	no	—
1228	#117	—	53	4	no	—
1229	#117	—	53	8	no	—
1230	#117	C₂²×D₅₃	1	2	yes	—
1231	#117	C₂²×D₅₃	1	4	yes	complemented
1232	#117	C₂²×D₅₃	1	4	yes	complemented
1233	C₂×C₄⋊C₄	—	53	2	no	—
1234	C₂×C₄⋊C₄	—	53	1	no	—
1235	C₂×C₄⋊C₄	—	53	4	no	—
1236	C₂×C₄⋊C₄	—	53	4	no	—
1237	C₂×C₄⋊C₄	—	53	2	no	—
1238	C₂×C₄⋊C₄	—	53	2	no	—
1239	C₂×C₄⋊C₄	—	53	4	no	—
1240	C₂×C₄⋊C₄	—	53	4	no	—
1241	C₂×C₄⋊C₄	—	53	4	no	—
1242	C₂×C₄⋊C₄	—	53	4	no	—
1243	C₂×C₄⋊C₄	—	53	8	no	—
1244	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	—	53	2	no	—
1246	C₂×C₂²⋊C₄	—	53	2	no	—
1247	C₂×C₂²⋊C₄	—	53	2	no	—
1248	C₂×C₂²⋊C₄	—	53	8	no	—
1249	C₂×C₂²⋊C₄	—	53	8	no	—
1250	C₂×C₂²⋊C₄	—	53	4	no	—
1251	C₂×C₂²⋊C₄	—	53	4	no	—
1252	C₂×C₂²⋊C₄	—	53	4	no	—
1253	C₂×C₂²⋊C₄	—	53	8	no	—
1254	C₂×C₂²⋊C₄	—	53	8	no	—
1255	C₂×C₂²⋊C₄	—	53	8	no	—
1256	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1257	C₂×C₄²	—	53	1	no	—
1258	C₂×C₄²	—	53	1	no	—
1259	C₂×C₄²	—	53	1	no	—
1260	C₂×C₄²	—	53	4	no	—
1261	C₂×C₄²	—	53	4	no	—
1262	C₂×C₄²	—	53	4	no	—
1263	C₂×C₄²	—	53	2	no	—
1264	C₂×C₄²	—	53	4	no	—
1265	C₂×C₄²	—	53	4	no	—
1266	C₂×C₄²	—	53	2	no	—
1267	C₂×C₄²	—	53	2	no	—
1268	C₂×C₄²	—	53	2	no	—
1269	C₂×C₄²	—	53	4	no	—
1270	C₂×C₄²	—	53	4	no	—
1271	C₂×C₄²	—	53	4	no	—
1272	C₂×C₄²	—	53	4	no	—
1273	C₂×C₄²	—	53	4	no	—
1274	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1275	C₂×C₄²	C₂²×D₅₃	1	4	yes	complemented
1276	C₂⁴	—	53	1	no	—
1277	C₂⁴	—	53	4	no	—
1278	C₂⁴	—	53	4	no	—
1279	C₂⁴	—	53	4	no	—
1280	C₂⁴	—	53	2	no	—
1281	C₂⁴	—	106	8	no	—
1282	C₂⁴	—	212	4	no	—
1283	C₂⁴	—	212	4	no	—
1284	C₂⁴	C₂³×D₅₃	1	2	yes	—
1285	#41	—	2	8	no	—
1286	#41	—	4	8	no	—
1287	#41	—	106	16	no	—
1288	#41	—	106	16	no	—
1289	#41	—	106	8	no	—
1290	#41	—	106	8	no	—
1291	#41	—	106	8	no	—
1292	#41	—	212	8	no	—
1293	#41	—	212	16	no	—
1294	#41	—	212	8	no	—
1295	#41	—	212	16	no	—
1296	#41	—	212	8	no	—
1297	C₂×Q₈	—	53	4	no	—
1298	C₂×Q₈	—	53	2	no	—
1299	C₂×Q₈	—	53	4	no	—
1300	C₂×Q₈	—	53	8	no	—
1301	C₂×Q₈	—	106	8	no	—
1302	C₂×Q₈	—	212	8	no	—
1303	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1304	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1305	C₂×D₄	—	2	4	no	—
1306	C₂×D₄	—	53	4	no	—
1307	C₂×D₄	—	53	4	no	—
1308	C₂×D₄	—	53	8	no	—
1309	C₂×D₄	—	53	4	no	—
1310	C₂×D₄	—	53	8	no	—
1311	C₂×D₄	—	53	8	no	—
1312	C₂×D₄	—	53	8	no	—
1313	C₂×D₄	—	53	8	no	—
1314	C₂×D₄	—	53	8	no	—
1315	C₂×D₄	—	53	4	no	—
1316	C₂×D₄	—	53	4	no	—
1317	C₂×D₄	—	53	2	no	—
1318	C₂×D₄	—	53	8	no	—
1319	C₂×D₄	—	53	8	no	—
1320	C₂×D₄	—	53	4	no	—
1321	C₂×D₄	—	106	16	no	—
1322	C₂×D₄	—	106	16	no	—
1323	C₂×D₄	—	106	8	no	—
1324	C₂×D₄	—	106	8	no	—
1325	C₂×D₄	—	106	16	no	—
1326	C₂×D₄	—	106	4	no	—
1327	C₂×D₄	—	212	16	no	—
1328	C₂×D₄	—	212	8	no	—
1329	C₂×D₄	—	212	16	no	—
1330	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1331	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1332	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1333	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1334	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1335	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1336	C₂²×C₄	—	4	4	no	—
1337	C₂²×C₄	—	53	1	no	—
1338	C₂²×C₄	—	53	8	no	—
1339	C₂²×C₄	—	53	2	no	—
1340	C₂²×C₄	—	53	2	no	—
1341	C₂²×C₄	—	53	1	no	—
1342	C₂²×C₄	—	53	4	no	—
1343	C₂²×C₄	—	53	1	no	—
1344	C₂²×C₄	—	53	4	no	—
1345	C₂²×C₄	—	53	4	no	—
1346	C₂²×C₄	—	53	1	no	—
1347	C₂²×C₄	—	53	4	no	—
1348	C₂²×C₄	—	53	2	no	—
1349	C₂²×C₄	—	53	4	no	—
1350	C₂²×C₄	—	53	2	no	—
1351	C₂²×C₄	—	53	4	no	—
1352	C₂²×C₄	—	53	4	no	—
1353	C₂²×C₄	—	53	1	no	—
1354	C₂²×C₄	—	53	4	no	—
1355	C₂²×C₄	—	53	4	no	—
1356	C₂²×C₄	—	53	4	no	—
1357	C₂²×C₄	—	53	1	no	—
1358	C₂²×C₄	—	53	4	no	—
1359	C₂²×C₄	—	53	4	no	—
1360	C₂²×C₄	—	53	4	no	—
1361	C₂²×C₄	—	53	1	no	—
1362	C₂²×C₄	—	53	4	no	—
1363	C₂²×C₄	—	53	4	no	—
1364	C₂²×C₄	—	53	2	no	—
1365	C₂²×C₄	—	53	4	no	—
1366	C₂²×C₄	—	53	4	no	—
1367	C₂²×C₄	—	53	4	no	—
1368	C₂²×C₄	—	53	4	no	—
1369	C₂²×C₄	—	53	4	no	—
1370	C₂²×C₄	—	106	4	no	—
1371	C₂²×C₄	—	106	16	no	—
1372	C₂²×C₄	—	106	16	no	—
1373	C₂²×C₄	—	106	16	no	—
1374	C₂²×C₄	—	212	4	no	—
1375	C₂²×C₄	—	212	8	no	—
1376	C₂²×C₄	—	212	8	no	—
1377	C₂²×C₄	—	212	4	no	—
1378	C₂²×C₄	—	212	2	no	—
1379	C₂²×C₄	—	212	8	no	—
1380	C₂²×C₄	—	212	8	no	—
1381	C₂²×C₄	—	212	4	no	—
1382	C₂²×C₄	—	212	4	no	—
1383	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1384	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1386	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1387	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1388	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1389	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1390	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1391	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1392	C₄⋊C₄	—	53	8	no	—
1393	C₄⋊C₄	—	53	4	no	—
1394	C₄⋊C₄	—	53	4	no	—
1395	C₄⋊C₄	—	53	2	no	—
1396	C₄⋊C₄	—	53	4	no	—
1397	C₄⋊C₄	—	53	2	no	—
1398	C₄⋊C₄	—	53	4	no	—
1399	C₄⋊C₄	—	53	4	no	—
1400	C₄⋊C₄	—	53	4	no	—
1401	C₄⋊C₄	—	53	4	no	—
1402	C₄⋊C₄	—	53	4	no	—
1403	C₄⋊C₄	—	53	4	no	—
1404	C₄⋊C₄	—	53	8	no	—
1405	C₄⋊C₄	—	53	4	no	—
1406	C₄⋊C₄	—	53	8	no	—
1407	C₄⋊C₄	—	53	4	no	—
1408	C₄⋊C₄	—	53	8	no	—
1409	C₄⋊C₄	—	53	8	no	—
1410	C₄⋊C₄	—	53	8	no	—
1411	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1412	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1413	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1414	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1415	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1416	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1417	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1418	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1419	C₂²⋊C₄	—	53	8	no	—
1420	C₂²⋊C₄	—	53	4	no	—
1421	C₂²⋊C₄	—	53	4	no	—
1422	C₂²⋊C₄	—	53	4	no	—
1423	C₂²⋊C₄	—	53	8	no	—
1424	C₂²⋊C₄	—	53	8	no	—
1425	C₂²⋊C₄	—	53	8	no	—
1426	C₂²⋊C₄	—	53	8	no	—
1427	C₂²⋊C₄	—	53	8	no	—
1428	C₂²⋊C₄	—	53	4	no	—
1429	C₂²⋊C₄	—	53	4	no	—
1430	C₂²⋊C₄	—	53	4	no	—
1431	C₂²⋊C₄	—	53	4	no	—
1432	C₂²⋊C₄	—	53	4	no	—
1433	C₂²⋊C₄	—	53	4	no	—
1434	C₂²⋊C₄	—	53	8	no	—
1435	C₂²⋊C₄	—	53	8	no	—
1436	C₂²⋊C₄	—	53	8	no	—
1437	C₂²⋊C₄	—	53	8	no	—
1438	C₂²⋊C₄	—	53	8	no	—
1439	C₂²⋊C₄	—	53	8	no	—
1440	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1441	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1442	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1443	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1444	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1445	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1446	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1447	C₄²	—	53	2	no	—
1448	C₄²	—	53	2	no	—
1449	C₄²	—	53	4	no	—
1450	C₄²	—	53	4	no	—
1451	C₄²	—	53	2	no	—
1452	C₄²	—	53	2	no	—
1453	C₄²	—	53	2	no	—
1454	C₄²	—	53	4	no	—
1455	C₄²	—	53	4	no	—
1456	C₄²	—	53	4	no	—
1457	C₄²	—	53	4	no	—
1458	C₄²	—	53	4	no	—
1459	C₄²	—	53	4	no	—
1460	C₄²	—	53	2	no	—
1461	C₄²	—	53	4	no	—
1462	C₄²	C₂³×D₅₃	1	2	yes	—
1463	C₄²	C₂³×D₅₃	1	4	yes	—
1464	C₄²	C₂³×D₅₃	1	4	yes	—
1465	C₄²	C₂³×D₅₃	1	2	yes	—
1466	C₄²	C₂³×D₅₃	1	4	yes	—
1467	C₂³	—	2	4	no	—
1468	C₂³	—	4	2	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	53	1	no	—
1471	C₂³	—	53	4	no	—
1472	C₂³	—	53	1	no	—
1473	C₂³	—	53	4	no	—
1474	C₂³	—	53	4	no	—
1475	C₂³	—	106	2	no	—
1476	C₂³	—	106	2	no	—
1477	C₂³	—	106	8	no	—
1478	C₂³	—	106	8	no	—
1479	C₂³	—	106	8	no	—
1480	C₂³	—	106	8	no	—
1481	C₂³	—	106	8	no	—
1482	C₂³	—	106	8	no	—
1483	C₂³	—	106	8	no	—
1484	C₂³	—	106	4	no	—
1485	C₂³	—	212	2	no	—
1486	C₂³	—	212	4	no	—
1487	C₂³	—	212	2	no	—
1488	C₂³	—	212	4	no	—
1489	C₂³	—	212	32	no	—
1490	C₂³	C₂⁴×D₅₃	1	4	yes	—
1491	C₂³	C₂⁴×D₅₃	1	4	yes	—
1492	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1493	Q₈	—	2	4	no	—
1494	Q₈	—	4	4	no	—
1495	Q₈	—	106	8	no	—
1496	Q₈	—	106	4	no	—
1497	Q₈	—	212	4	no	—
1498	Q₈	—	212	8	no	—
1499	D₄	—	2	8	no	—
1500	D₄	—	2	8	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	4	8	no	—
1503	D₄	—	4	4	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	106	8	no	—
1506	D₄	—	106	16	no	—
1507	D₄	—	106	8	no	—
1508	D₄	—	106	8	no	—
1509	D₄	—	106	8	no	—
1510	D₄	—	106	8	no	—
1511	D₄	—	106	4	no	—
1512	D₄	—	212	8	no	—
1513	D₄	—	212	4	no	—
1514	D₄	—	212	8	no	—
1515	D₄	—	212	8	no	—
1516	D₄	—	212	8	no	—
1517	D₄	—	212	8	no	—
1518	D₄	—	212	8	no	—
1519	D₄	—	212	8	no	—
1520	C₂×C₄	—	2	8	no	—
1521	C₂×C₄	—	2	2	no	—
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	2	8	no	—
1524	C₂×C₄	—	4	4	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	53	4	no	—
1529	C₂×C₄	—	53	1	no	—
1530	C₂×C₄	—	53	2	no	—
1531	C₂×C₄	—	53	8	no	—
1532	C₂×C₄	—	53	8	no	—
1533	C₂×C₄	—	53	4	no	—
1534	C₂×C₄	—	53	2	no	—
1535	C₂×C₄	—	53	4	no	—
1536	C₂×C₄	—	53	4	no	—
1537	C₂×C₄	—	53	1	no	—
1538	C₂×C₄	—	53	4	no	—
1539	C₂×C₄	—	53	4	no	—
1540	C₂×C₄	—	106	2	no	—
1541	C₂×C₄	—	106	8	no	—
1542	C₂×C₄	—	106	8	no	—
1543	C₂×C₄	—	106	8	no	—
1544	C₂×C₄	—	106	2	no	—
1545	C₂×C₄	—	106	8	no	—
1546	C₂×C₄	—	106	8	no	—
1547	C₂×C₄	—	106	8	no	—
1548	C₂×C₄	—	106	4	no	—
1549	C₂×C₄	—	106	8	no	—
1550	C₂×C₄	—	106	2	no	—
1551	C₂×C₄	—	106	8	no	—
1552	C₂×C₄	—	106	8	no	—
1553	C₂×C₄	—	106	8	no	—
1554	C₂×C₄	—	106	8	no	—
1555	C₂×C₄	—	106	2	no	—
1556	C₂×C₄	—	106	8	no	—
1557	C₂×C₄	—	106	8	no	—
1558	C₂×C₄	—	212	2	no	—
1559	C₂×C₄	—	212	4	no	—
1560	C₂×C₄	—	212	4	no	—
1561	C₂×C₄	—	212	4	no	—
1562	C₂×C₄	—	212	4	no	—
1563	C₂×C₄	—	212	4	no	—
1564	C₂×C₄	—	212	1	no	—
1565	C₂×C₄	—	212	4	no	—
1566	C₂×C₄	—	212	4	no	—
1567	C₂×C₄	—	212	2	no	—
1568	C₂×C₄	#41×D₅₃	1	4	yes	complemented
1569	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1570	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1571	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1572	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1573	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1575	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1576	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1577	C₂²	—	2	1	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	4	8	no	—
1586	C₂²	—	53	2	no	—
1587	C₂²	—	53	2	no	—
1588	C₂²	—	53	2	no	—
1589	C₂²	—	53	2	no	—
1590	C₂²	—	106	8	no	—
1591	C₂²	—	106	1	no	—
1592	C₂²	—	106	1	no	—
1593	C₂²	—	106	4	no	—
1594	C₂²	—	106	4	no	—
1595	C₂²	—	106	4	no	—
1596	C₂²	—	106	4	no	—
1597	C₂²	—	106	4	no	—
1598	C₂²	—	106	4	no	—
1599	C₂²	—	212	8	no	—
1600	C₂²	—	212	16	no	—
1601	C₂²	—	212	16	no	—
1602	C₂²	—	212	16	no	—
1603	C₂²	C₂×#41×D₅₃	1	2	yes	—
1604	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1605	C₄	—	2	4	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	4	no	—
1608	C₄	—	2	4	no	—
1609	C₄	—	2	2	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	53	4	no	—
1612	C₄	—	53	2	no	—
1613	C₄	—	106	4	no	—
1614	C₄	—	106	1	no	—
1615	C₄	—	106	4	no	—
1616	C₄	—	106	4	no	—
1617	C₄	—	106	2	no	—
1618	C₄	—	106	4	no	—
1619	C₄	C₂×#41×D₅₃	1	4	yes	—
1620	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
1621	C₂	—	2	2	no	—
1622	C₂	—	4	4	no	—
1623	C₂	—	4	4	no	—
1624	C₂	—	53	4	no	—
1625	C₂	—	106	2	no	—
1626	C₂	—	212	4	no	—
1627	C₂	—	212	4	no	—
1628	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1629	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1630	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3460	C₂
hypercenter	#3460	D₅₃
hypocenter	C₅₃	C₂×#3460
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3460

Complements

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

N	H ≅ G/N	type
1. #20288138	C₂	semidirect
2. #20288137	C₂	semidirect
3. #20288136	C₂	semidirect
4. #20288135	C₂	semidirect
5. #20288134	C₂	semidirect
6. #20288133	C₂	semidirect
7. #20288132	C₂	semidirect
8. #20288131	C₂	semidirect
9. #20288130	C₂	semidirect
10. #20288129	C₂	semidirect
11. #20288128	C₂	semidirect
12. #544×D₅₃	C₂	semidirect
13. #542×D₅₃	C₂	semidirect
14. #540×D₅₃	C₂	semidirect
15. #538×D₅₃	C₂	semidirect
16. #537×D₅₃	C₂	semidirect
17. #535×D₅₃	C₂	semidirect
18. #532×D₅₃	C₂	semidirect
19. #529×D₅₃	C₂	semidirect
20. #525×D₅₃	C₂	semidirect
21. C₄×#41×D₅₃	C₂	semidirect
22. C₂×C₄×D₄×D₅₃	C₂	semidirect
23. C₅₃×#3460	C₂	semidirect
25. C₂×#41×D₅₃	C₂²	semidirect
28. #16811254	C₂²	semidirect
29. #16811253	C₂²	semidirect
30. #16811252	C₂²	semidirect
31. #16811251	C₂²	semidirect
32. #16811250	C₂²	semidirect
33. #16811247	C₂²	semidirect
34. #16811246	C₂²	semidirect
35. #16811245	C₂²	semidirect
36. #16811244	C₂²	semidirect
37. #16811243	C₂²	semidirect
38. #16811242	C₂²	semidirect
39. #16811241	C₂²	semidirect
40. #16811240	C₂²	semidirect
41. #16811239	C₂²	semidirect
42. #16811238	C₂²	semidirect
43. #16811237	C₂²	semidirect
44. #16811229	C₂²	semidirect
45. #16811228	C₂²	semidirect
46. #16811227	C₂²	semidirect
47. #16811226	C₂²	semidirect
48. #16811226	C₂²	semidirect
49. #16811225	C₂²	semidirect
50. #16811225	C₂²	semidirect
51. #16811224	C₂²	semidirect
52. #16811224	C₂²	semidirect
53. #16811223	C₂²	semidirect
54. #16811223	C₂²	semidirect
55. #16811213	C₂²	semidirect
56. #16811212	C₂²	semidirect
57. #16811211	C₂²	semidirect
58. #16811210	C₂²	semidirect
59. #16811209	C₂²	semidirect
60. #16811208	C₂²	semidirect
61. #16811207	C₂²	semidirect
62. #16811206	C₂²	semidirect
63. #16811205	C₂²	semidirect
64. #16811204	C₂²	semidirect
65. #16811203	C₂²	semidirect
66. #16811202	C₂²	semidirect
67. #16811201	C₂²	semidirect
68. #16811200	C₂²	semidirect
69. #16811192	C₂²	semidirect
70. #16811191	C₂²	semidirect
71. #16811190	C₂²	semidirect
72. #16811189	C₂²	semidirect
73. #16811189	C₂²	semidirect
74. #16811188	C₂²	semidirect
75. #16811187	C₂²	semidirect
76. #16811186	C₂²	semidirect
77. #16811174	C₂²	semidirect
78. #16811173	C₂²	semidirect
79. #16811172	C₂²	semidirect
80. #16811171	C₂²	semidirect
81. #16811170	C₂²	semidirect
82. #16811170	C₂²	semidirect
83. #16811170	C₂²	semidirect
84. #16811169	C₂²	semidirect
85. #16811168	C₂²	semidirect
86. #16811168	C₂²	semidirect
87. #16811168	C₂²	semidirect
88. C₄⋊Q₈×D₅₃	C₂²	semidirect
90. #16811160	C₂²	semidirect
91. #16811159	C₂²	semidirect
92. #16811158	C₂²	semidirect
93. #16811157	C₂²	semidirect
94. #16811156	C₂²	semidirect
95. #16811155	C₂²	semidirect
96. #16811154	C₂²	semidirect
97. #16811153	C₂²	semidirect
98. #16811152	C₂²	semidirect
99. #16811151	C₂²	semidirect
100. #16811150	C₂²	semidirect
101. #126×D₅₃	C₂²	semidirect
102. #125×D₅₃	C₂²	semidirect
104. #124×D₅₃	C₂²	semidirect
105. #16811136	C₂²	semidirect
106. #16811136	C₂²	semidirect
107. #16811135	C₂²	semidirect
108. #16811134	C₂²	semidirect
109. #16811133	C₂²	semidirect
110. #16811133	C₂²	semidirect
111. #16811132	C₂²	semidirect
112. #16811132	C₂²	semidirect
113. #16811131	C₂²	semidirect
114. #16811130	C₂²	semidirect
115. #16811129	C₂²	semidirect
116. #123×D₅₃	C₂²	semidirect
117. #123×D₅₃	C₂²	semidirect
119. C₂²⋊Q₈×D₅₃	C₂²	semidirect
120. C₂²⋊Q₈×D₅₃	C₂²	semidirect
124. #121×D₅₃	C₂²	semidirect
125. #121×D₅₃	C₂²	semidirect
126. #121×D₅₃	C₂²	semidirect
128. #41×Dic₅₃	C₂²	semidirect
129. C₄×#11719949	C₂²	semidirect
130. C₄×#11719949	C₂²	semidirect
131. C₄×#11719945	C₂²	semidirect
132. C₄×#11719945	C₂²	semidirect
133. #16811091	C₂²	semidirect
134. #16811091	C₂²	semidirect
135. C₄×#11719947	C₂²	semidirect
136. C₄×#11719947	C₂²	semidirect
137. C₄×#11719947	C₂²	semidirect
138. C₄×#11719947	C₂²	semidirect
139. C₄×Q₈×D₅₃	C₂²	semidirect
140. C₄×Q₈×D₅₃	C₂²	semidirect
141. C₂×C₄×D₂₁₂	C₂²	semidirect
142. C₂×D₄×Dic₅₃	C₂²	semidirect
143. C₂×#13133179	C₂²	semidirect
144. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
145. C₂×#13133177	C₂²	semidirect
150. C₄×D₄×D₅₃	C₂²	semidirect
151. C₄×D₄×D₅₃	C₂²	semidirect
152. C₄×D₄×D₅₃	C₂²	semidirect
153. C₄×D₄×D₅₃	C₂²	semidirect
154. C₄×D₄×D₅₃	C₂²	semidirect
156. #117×D₅₃	C₂²	semidirect
157. #117×D₅₃	C₂²	semidirect
161. C₂×C₄²×D₅₃	C₂²	semidirect
162. C₅₃×#544	C₂²	semidirect
163. C₅₃×#542	C₂²	semidirect
164. C₅₃×#540	C₂²	semidirect
165. C₅₃×#538	C₂²	semidirect
166. C₅₃×#537	C₂²	semidirect
167. C₅₃×#535	C₂²	semidirect
168. C₅₃×#532	C₂²	semidirect
169. C₅₃×#529	C₂²	semidirect
170. C₅₃×#525	C₂²	semidirect
171. C₄×#41×C₅₃	C₂²	semidirect
172. C₂×C₄×D₄×C₅₃	C₂²	semidirect
175. C₂×#11719949	C₂³	semidirect
178. C₂×#11719945	C₂³	semidirect
179. C₂×#11719945	C₂³	semidirect
182. C₂×#11719947	C₂³	semidirect
183. C₂×#11719947	C₂³	semidirect
213. #13133217	C₂³	semidirect
214. #13133216	C₂³	semidirect
215. #13133216	C₂³	semidirect
216. #13133216	C₂³	semidirect
217. #13133215	C₂³	semidirect
223. #13133212	C₂³	semidirect
224. #13133212	C₂³	semidirect
225. #13133212	C₂³	semidirect
226. #13133211	C₂³	semidirect
227. #13133210	C₂³	semidirect
228. #13133210	C₂³	semidirect
229. #13133210	C₂³	semidirect
230. #13133209	C₂³	semidirect
231. #13133208	C₂³	semidirect
232. #13133208	C₂³	semidirect
233. #13133207	C₂³	semidirect
234. #13133207	C₂³	semidirect
236. #13133206	C₂³	semidirect
238. #13133205	C₂³	semidirect
240. #13133204	C₂³	semidirect
243. #13133203	C₂³	semidirect
244. #13133203	C₂³	semidirect
245. #13133203	C₂³	semidirect
246. #13133203	C₂³	semidirect
247. #13133202	C₂³	semidirect
248. #13133202	C₂³	semidirect
249. #13133202	C₂³	semidirect
250. #13133202	C₂³	semidirect
251. #13133201	C₂³	semidirect
252. #13133201	C₂³	semidirect
253. #13133200	C₂³	semidirect
254. #13133200	C₂³	semidirect
255. #13133199	C₂³	semidirect
256. #13133199	C₂³	semidirect
257. #13133199	C₂³	semidirect
258. #13133199	C₂³	semidirect
259. #13133198	C₂³	semidirect
260. #13133198	C₂³	semidirect
262. #13133197	C₂³	semidirect
263. #13133197	C₂³	semidirect
265. #13133196	C₂³	semidirect
266. #13133196	C₂³	semidirect
268. #13133195	C₂³	semidirect
269. #13133195	C₂³	semidirect
271. #13133194	C₂³	semidirect
272. #13133194	C₂³	semidirect
274. #13133193	C₂³	semidirect
275. #13133193	C₂³	semidirect
279. #13133192	C₂³	semidirect
280. #13133192	C₂³	semidirect
281. #13133192	C₂³	semidirect
285. #13133191	C₂³	semidirect
286. #13133191	C₂³	semidirect
287. #13133191	C₂³	semidirect
291. #13133190	C₂³	semidirect
292. #13133190	C₂³	semidirect
293. #13133190	C₂³	semidirect
294. #13133190	C₂³	semidirect
298. #13133189	C₂³	semidirect
299. #13133189	C₂³	semidirect
300. #13133189	C₂³	semidirect
301. #13133189	C₂³	semidirect
305. #13133188	C₂³	semidirect
306. #13133188	C₂³	semidirect
307. #13133188	C₂³	semidirect
315. Q₈×Dic₅₃	C₂³	semidirect
316. Q₈×Dic₅₃	C₂³	semidirect
317. C₄×Dic₁₀₆	C₂³	semidirect
318. C₄×Dic₁₀₆	C₂³	semidirect
319. C₄×Dic₁₀₆	C₂³	semidirect
320. C₄×Dic₁₀₆	C₂³	semidirect
321. #13133182	C₂³	semidirect
322. #13133182	C₂³	semidirect
323. #13133182	C₂³	semidirect
324. #13133182	C₂³	semidirect
329. C₄×D₂₁₂	C₂³	semidirect
330. C₄×D₂₁₂	C₂³	semidirect
331. C₄×D₂₁₂	C₂³	semidirect
336. D₄×Dic₅₃	C₂³	semidirect
337. D₄×Dic₅₃	C₂³	semidirect
338. D₄×Dic₅₃	C₂³	semidirect
343. #13133179	C₂³	semidirect
344. #13133179	C₂³	semidirect
345. #13133179	C₂³	semidirect
352. C₄×C₂²⋊D₅₃	C₂³	semidirect
353. C₄×C₂²⋊D₅₃	C₂³	semidirect
354. C₄×C₂²⋊D₅₃	C₂³	semidirect
355. C₄×C₂²⋊D₅₃	C₂³	semidirect
362. #13133177	C₂³	semidirect
363. #13133177	C₂³	semidirect
364. #13133177	C₂³	semidirect
365. #13133177	C₂³	semidirect
367. #13133176	C₂³	semidirect
368. #13133176	C₂³	semidirect
371. #13133175	C₂³	semidirect
372. #13133175	C₂³	semidirect
373. #13133175	C₂³	semidirect
374. #13133175	C₂³	semidirect
376. #13133174	C₂³	semidirect
377. #13133174	C₂³	semidirect
378. #13133174	C₂³	semidirect
380. #13133173	C₂³	semidirect
381. #13133173	C₂³	semidirect
382. #13133173	C₂³	semidirect
408. C₂×C₄×Dic₅₃	C₂³	semidirect
409. C₂×C₄×Dic₅₃	C₂³	semidirect
410. C₂×C₄×Dic₅₃	C₂³	semidirect
418. C₄²×D₅₃	C₂³	semidirect
419. C₄²×D₅₃	C₂³	semidirect
420. C₄²×D₅₃	C₂³	semidirect
421. C₄²×D₅₃	C₂³	semidirect
423. C₂×#41×C₅₃	C₂³	semidirect
426. C₄⋊Q₈×C₅₃	C₂³	semidirect
428. #126×C₅₃	C₂³	semidirect
429. #125×C₅₃	C₂³	semidirect
431. #124×C₅₃	C₂³	semidirect
432. #123×C₅₃	C₂³	semidirect
433. #123×C₅₃	C₂³	semidirect
435. C₂²⋊Q₈×C₅₃	C₂³	semidirect
436. C₂²⋊Q₈×C₅₃	C₂³	semidirect
440. #121×C₅₃	C₂³	semidirect
441. #121×C₅₃	C₂³	semidirect
442. #121×C₅₃	C₂³	semidirect
444. C₄×Q₈×C₅₃	C₂³	semidirect
445. C₄×Q₈×C₅₃	C₂³	semidirect
450. C₄×D₄×C₅₃	C₂³	semidirect
451. C₄×D₄×C₅₃	C₂³	semidirect
452. C₄×D₄×C₅₃	C₂³	semidirect
454. #117×C₅₃	C₂³	semidirect
455. #117×C₅₃	C₂³	semidirect
459. C₂×C₄²×C₅₃	C₂³	semidirect
548. C₂×C₄×D₅₃	#41	semidirect
693. C₂×C₄×C₅₃	C₂×#41	semidirect
719. C₂×Dic₅₃	C₂×#41	semidirect
755. C₄×D₅₃	C₂×#41	semidirect
817. #3460	D₅₃	direct (N × H)
838. D₅₃	#3460	direct (N × H)
848. #544	C₂×D₅₃	semidirect
860. #542	C₂×D₅₃	semidirect
872. #540	C₂×D₅₃	semidirect
882. #538	C₂×D₅₃	semidirect
888. #537	C₂×D₅₃	semidirect
897. #535	C₂×D₅₃	semidirect
909. #532	C₂×D₅₃	semidirect
923. #529	C₂×D₅₃	semidirect
939. #525	C₂×D₅₃	semidirect
963. C₄×#41	C₂×D₅₃	semidirect
980. C₂×C₄×D₄	C₂×D₅₃	semidirect
988. C₅₃	C₂×#3460	semidirect
1003. C₂×#41	C₂²×D₅₃	semidirect
1038. C₄⋊Q₈	C₂²×D₅₃	semidirect
1052. #126	C₂²×D₅₃	semidirect
1058. #125	C₂²×D₅₃	semidirect
1072. #124	C₂²×D₅₃	semidirect
1087. #123	C₂²×D₅₃	semidirect
1088. #123	C₂²×D₅₃	semidirect
1105. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1106. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1142. #121	C₂²×D₅₃	semidirect
1143. #121	C₂²×D₅₃	semidirect
1144. #121	C₂²×D₅₃	semidirect
1163. C₄×Q₈	C₂²×D₅₃	semidirect
1164. C₄×Q₈	C₂²×D₅₃	semidirect
1210. C₄×D₄	C₂²×D₅₃	semidirect
1211. C₄×D₄	C₂²×D₅₃	semidirect
1212. C₄×D₄	C₂²×D₅₃	semidirect
1231. #117	C₂²×D₅₃	semidirect
1232. #117	C₂²×D₅₃	semidirect
1275. C₂×C₄²	C₂²×D₅₃	semidirect
1568. C₂×C₄	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288138	2
#20288137	2
#20288136	2
#20288135	2
#20288134	2
#20288133	2
#20288132	2
#20288131	2
#20288130	2
#20288129	2
#20288128	2
#544×D₅₃	2
#542×D₅₃	2
#540×D₅₃	2
#538×D₅₃	2
#537×D₅₃	2
#535×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₄×#41×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3460	2
C₂×#3460	53

Subgroups — D53×#3460 #28290883

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3460 #28290883