Subgroups — D₅₃×#3455 #28290937

Order 13568.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288107	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288106	C₂	1	2	yes	maximal, complemented
3	#20288105	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288104	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288103	C₂	1	2	yes	maximal, complemented
6	#20288102	C₂	1	4	yes	maximal, complemented
7	#20288101	C₂	1	4	yes	maximal, complemented
8	#20288100	C₂	1	2	yes	maximal, complemented
9	#20288099	C₂	1	2	yes	maximal, complemented
10	#20288098	C₂	1	8	yes	maximal, complemented
11	#20288097	C₂	1	4	yes	maximal, complemented
12	#542×D₅₃	C₂	1	4	yes	maximal, complemented
13	#541×D₅₃	C₂	1	2	yes	maximal, complemented
14	#540×D₅₃	C₂	1	2	yes	maximal, complemented
15	#539×D₅₃	C₂	1	4	yes	maximal, complemented
16	#538×D₅₃	C₂	1	4	yes	maximal, complemented
17	#533×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
18	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#529×D₅₃	C₂	1	8	yes	maximal, complemented
20	#525×D₅₃	C₂	1	2	yes	maximal, complemented
21	C₄×#41×D₅₃	C₂	1	2	yes	maximal, complemented
22	C₂×#117×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3455	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₅₃	C₂²	1	2	yes	—
25	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
26	#16811247	C₂²	1	4	yes	complemented
27	#16811246	C₂²	1	4	yes	complemented
28	#16811245	C₂²	1	4	yes	complemented
29	#16811244	C₂²	1	4	yes	complemented
30	#16811243	C₂²	1	8	yes	complemented
31	#16811242	C₂²	1	4	yes	complemented
32	#16811241	C₂²	1	8	yes	complemented
33	#16811240	C₂²	1	4	yes	complemented
34	#16811239	C₂²	1	8	yes	complemented
35	#16811238	C₂²	1	4	yes	complemented
36	#16811237	C₂²	1	8	yes	complemented
37	#16811236	C₂²	1	2	yes	complemented
38	#16811235	C₂²	1	2	yes	complemented
39	#16811234	C₂²	1	2	yes	complemented
40	#16811233	C₂²	1	4	yes	complemented
41	#16811232	C₂²	1	8	yes	complemented
42	#16811231	C₂²	1	4	yes	complemented
43	#16811230	C₂²	1	8	yes	complemented
44	#16811229	C₂²	1	2	yes	complemented
45	#16811228	C₂²	1	2	yes	complemented
46	#16811227	C₂²	1	2	yes	complemented
47	#16811226	C₂²	1	4	yes	complemented
48	#16811225	C₂²	1	8	yes	complemented
49	#16811224	C₂²	1	4	yes	complemented
50	#16811223	C₂²	1	8	yes	complemented
51	#16811222	C₂²	1	4	yes	complemented
52	#16811221	C₂²	1	8	yes	complemented
53	#16811220	C₂²	1	4	yes	complemented
54	#16811219	C₂²	1	8	yes	complemented
55	#16811218	C₂²	1	4	yes	complemented
56	#16811217	C₂²	1	8	yes	complemented
57	#16811216	C₂²	1	8	yes	complemented
58	#16811215	C₂²	1	8	yes	complemented
59	#16811214	C₂²	1	8	yes	complemented
60	#16811213	C₂²	1	4	yes	complemented
61	#16811212	C₂²	1	8	yes	complemented
62	#16811211	C₂²	1	4	yes	complemented
63	#16811210	C₂²	1	4	yes	complemented
64	#16811209	C₂²	1	8	yes	complemented
65	#16811208	C₂²	1	8	yes	complemented
66	#16811207	C₂²	1	8	yes	complemented
67	#16811206	C₂²	1	8	yes	complemented
68	#16811205	C₂²	1	8	yes	complemented
69	#16811180	C₂²	1	1	yes	characteristic, complemented
70	#16811179	C₂²	1	2	yes	complemented
71	#16811178	C₂²	1	2	yes	complemented
72	#16811177	C₂²	1	4	yes	complemented
73	#16811176	C₂²	1	2	yes	complemented
74	#16811175	C₂²	1	4	yes	complemented
75	#16811174	C₂²	1	1	yes	characteristic, complemented
76	#16811173	C₂²	1	1	yes	characteristic, complemented
77	#16811172	C₂²	1	2	yes	complemented
78	#16811171	C₂²	1	1	yes	characteristic, complemented
79	#16811170	C₂²	1	4	yes	complemented
80	#16811169	C₂²	1	2	yes	complemented
81	#16811168	C₂²	1	4	yes	complemented
82	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
83	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
84	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
85	#16811160	C₂²	1	8	yes	complemented
86	#16811159	C₂²	1	8	yes	complemented
87	#16811158	C₂²	1	8	yes	complemented
88	#16811157	C₂²	1	8	yes	complemented
89	#16811156	C₂²	1	8	yes	complemented
90	#16811156	C₂²	1	8	yes	complemented
91	#16811155	C₂²	1	8	yes	complemented
92	#16811154	C₂²	1	8	yes	complemented
93	#16811153	C₂²	1	8	yes	complemented
94	#16811153	C₂²	1	8	yes	complemented
95	#16811152	C₂²	1	8	yes	complemented
96	#16811151	C₂²	1	8	yes	complemented
97	#16811151	C₂²	1	8	yes	complemented
98	#16811150	C₂²	1	8	yes	complemented
99	#16811150	C₂²	1	8	yes	complemented
100	#126×D₅₃	C₂²	1	8	yes	—
101	#126×D₅₃	C₂²	1	8	yes	complemented
102	#125×D₅₃	C₂²	1	2	yes	complemented
103	#125×D₅₃	C₂²	1	8	yes	complemented
104	#124×D₅₃	C₂²	1	8	yes	—
105	#124×D₅₃	C₂²	1	2	yes	complemented
106	#16811136	C₂²	1	4	yes	complemented
107	#16811135	C₂²	1	2	yes	complemented
108	#16811134	C₂²	1	2	yes	complemented
109	#16811133	C₂²	1	4	yes	complemented
110	#16811132	C₂²	1	8	yes	complemented
111	#16811131	C₂²	1	4	yes	complemented
112	#16811130	C₂²	1	2	yes	complemented
113	#16811129	C₂²	1	4	yes	complemented
114	#123×D₅₃	C₂²	1	8	yes	—
115	#123×D₅₃	C₂²	1	4	yes	—
116	#123×D₅₃	C₂²	1	8	yes	complemented
117	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
118	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
119	C₂²⋊Q₈×D₅₃	C₂²	1	8	yes	complemented
120	#121×D₅₃	C₂²	1	4	yes	—
121	#121×D₅₃	C₂²	1	8	yes	—
122	#121×D₅₃	C₂²	1	4	yes	—
123	#120×D₅₃	C₂²	1	4	yes	—
124	#41×Dic₅₃	C₂²	1	2	yes	complemented
125	C₄×#11719949	C₂²	1	4	yes	complemented
126	C₄×#11719945	C₂²	1	2	yes	complemented
127	C₄×#11719945	C₂²	1	4	yes	complemented
128	#16811091	C₂²	1	2	yes	complemented
129	#16811091	C₂²	1	4	yes	complemented
130	C₄×#11719947	C₂²	1	8	yes	complemented
131	C₄×#11719947	C₂²	1	4	yes	complemented
132	C₄×Q₈×D₅₃	C₂²	1	4	yes	complemented
133	C₄×Q₈×D₅₃	C₂²	1	4	yes	complemented
134	C₄×D₄×D₅₃	C₂²	1	8	yes	—
135	C₄×D₄×D₅₃	C₂²	1	8	yes	—
136	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
137	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
138	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
139	C₂×#13133175	C₂²	1	2	yes	complemented
140	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133173	C₂²	1	2	yes	complemented
143	#117×D₅₃	C₂²	1	2	yes	—
144	#117×D₅₃	C₂²	1	2	yes	—
145	#117×D₅₃	C₂²	1	2	yes	—
146	#117×D₅₃	C₂²	1	4	yes	—
147	#117×D₅₃	C₂²	1	4	yes	complemented
148	#117×D₅₃	C₂²	1	2	yes	complemented
149	#117×D₅₃	C₂²	1	2	yes	complemented
150	#117×D₅₃	C₂²	1	4	yes	complemented
151	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	—
152	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
153	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
154	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
155	C₂×C₄²×D₅₃	C₂²	1	4	yes	complemented
156	C₅₃×#542	C₂²	1	4	yes	complemented
157	C₅₃×#541	C₂²	1	2	yes	complemented
158	C₅₃×#540	C₂²	1	2	yes	complemented
159	C₅₃×#539	C₂²	1	4	yes	complemented
160	C₅₃×#538	C₂²	1	4	yes	complemented
161	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
162	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
163	C₅₃×#529	C₂²	1	8	yes	complemented
164	C₅₃×#525	C₂²	1	2	yes	complemented
165	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
166	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
168	C₂×#11719949	C₂³	1	2	yes	—
169	C₂×#11719945	C₂³	1	4	yes	—
170	C₂×#11719945	C₂³	1	2	yes	—
171	C₂×#11719947	C₂³	1	4	yes	—
172	C₂×#11719947	C₂³	1	2	yes	—
173	#41×D₅₃	—	2	16	no	—
174	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
175	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
176	C₂×D₄×D₅₃	C₂³	1	4	yes	—
177	C₂×D₄×D₅₃	C₂³	1	2	yes	—
178	C₂×D₄×D₅₃	C₂³	1	8	yes	—
179	C₂×D₄×D₅₃	C₂³	1	4	yes	—
180	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₅₃	—	2	8	no	—
182	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
183	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
185	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
193	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
194	#13133217	C₂³	1	1	yes	characteristic, complemented
195	#13133217	C₂³	1	2	yes	complemented
196	#13133216	C₂³	1	4	yes	complemented
197	#13133216	C₂³	1	4	yes	complemented
198	#13133216	C₂³	1	4	yes	complemented
199	#13133215	C₂³	1	2	yes	complemented
200	#13133215	C₂³	1	4	yes	complemented
201	#13133214	C₂³	1	1	yes	characteristic, complemented
202	#13133213	C₂³	1	4	yes	complemented
203	#13133213	C₂³	1	2	yes	complemented
204	#13133212	C₂³	1	8	yes	—
205	#13133212	C₂³	1	8	yes	—
206	#13133212	C₂³	1	8	yes	—
207	#13133212	C₂³	1	8	yes	complemented
208	#13133212	C₂³	1	8	yes	complemented
209	#13133212	C₂³	1	8	yes	complemented
210	#13133211	C₂³	1	8	yes	—
211	#13133211	C₂³	1	8	yes	complemented
212	#13133210	C₂³	1	8	yes	—
213	#13133210	C₂³	1	8	yes	—
214	#13133210	C₂³	1	8	yes	—
215	#13133210	C₂³	1	8	yes	complemented
216	#13133210	C₂³	1	8	yes	complemented
217	#13133210	C₂³	1	8	yes	complemented
218	#13133209	C₂³	1	8	yes	complemented
219	#13133209	C₂³	1	2	yes	complemented
220	#13133208	C₂³	1	8	yes	complemented
221	#13133208	C₂³	1	8	yes	complemented
222	#13133208	C₂³	1	4	yes	complemented
223	#13133207	C₂³	1	8	yes	complemented
224	#13133207	C₂³	1	8	yes	complemented
225	#13133207	C₂³	1	8	yes	complemented
226	#13133207	C₂³	1	8	yes	complemented
227	#13133207	C₂³	1	8	yes	complemented
228	#13133206	C₂³	1	8	yes	—
229	#13133206	C₂³	1	2	yes	complemented
230	#13133205	C₂³	1	8	yes	—
231	#13133205	C₂³	1	2	yes	complemented
232	#13133204	C₂³	1	8	yes	—
233	#13133204	C₂³	1	2	yes	complemented
234	#13133203	C₂³	1	8	yes	—
235	#13133203	C₂³	1	8	yes	—
236	#13133203	C₂³	1	8	yes	—
237	#13133203	C₂³	1	8	yes	—
238	#13133203	C₂³	1	8	yes	complemented
239	#13133202	C₂³	1	8	yes	—
240	#13133202	C₂³	1	8	yes	—
241	#13133202	C₂³	1	8	yes	—
242	#13133202	C₂³	1	8	yes	complemented
243	#13133202	C₂³	1	8	yes	complemented
244	#13133201	C₂³	1	4	yes	—
245	#13133201	C₂³	1	8	yes	—
246	#13133201	C₂³	1	8	yes	complemented
247	#13133200	C₂³	1	4	yes	—
248	#13133200	C₂³	1	8	yes	—
249	#13133200	C₂³	1	8	yes	complemented
250	#13133199	C₂³	1	8	yes	—
251	#13133199	C₂³	1	8	yes	—
252	#13133199	C₂³	1	8	yes	—
253	#13133199	C₂³	1	8	yes	complemented
254	#13133199	C₂³	1	8	yes	complemented
255	#13133198	C₂³	1	4	yes	—
256	#13133198	C₂³	1	8	yes	—
257	#13133198	C₂³	1	8	yes	complemented
258	#13133197	C₂³	1	4	yes	—
259	#13133197	C₂³	1	4	yes	—
260	#13133197	C₂³	1	8	yes	complemented
261	#13133196	C₂³	1	4	yes	—
262	#13133196	C₂³	1	4	yes	—
263	#13133196	C₂³	1	8	yes	complemented
264	#13133195	C₂³	1	8	yes	—
265	#13133195	C₂³	1	8	yes	—
266	#13133195	C₂³	1	8	yes	complemented
267	#13133195	C₂³	1	8	yes	complemented
268	#13133194	C₂³	1	8	yes	—
269	#13133194	C₂³	1	8	yes	—
270	#13133194	C₂³	1	8	yes	complemented
271	#13133194	C₂³	1	8	yes	complemented
272	#13133193	C₂³	1	4	yes	—
273	#13133193	C₂³	1	4	yes	—
274	#13133193	C₂³	1	8	yes	complemented
275	#13133192	C₂³	1	4	yes	—
276	#13133192	C₂³	1	8	yes	—
277	#13133192	C₂³	1	4	yes	—
278	#13133191	C₂³	1	4	yes	—
279	#13133191	C₂³	1	8	yes	—
280	#13133191	C₂³	1	4	yes	—
281	#13133190	C₂³	1	8	yes	—
282	#13133190	C₂³	1	8	yes	—
283	#13133190	C₂³	1	8	yes	—
284	#13133190	C₂³	1	8	yes	—
285	#13133189	C₂³	1	8	yes	—
286	#13133189	C₂³	1	8	yes	—
287	#13133189	C₂³	1	8	yes	—
288	#13133189	C₂³	1	8	yes	—
289	#13133188	C₂³	1	4	yes	—
290	#13133188	C₂³	1	8	yes	—
291	#13133188	C₂³	1	4	yes	—
292	#13133187	C₂³	1	4	yes	—
293	#13133187	C₂³	1	8	yes	—
294	#13133186	C₂³	1	4	yes	—
295	#13133185	C₂³	1	4	yes	—
296	#13133185	C₂³	1	8	yes	—
297	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
298	Q₈×Dic₅₃	C₂³	1	4	yes	complemented
299	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
300	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
301	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
302	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
303	#13133182	C₂³	1	8	yes	complemented
304	#13133182	C₂³	1	4	yes	complemented
305	#13133182	C₂³	1	4	yes	complemented
306	#13133182	C₂³	1	8	yes	complemented
307	C₄×D₂₁₂	C₂³	1	8	yes	—
308	C₄×D₂₁₂	C₂³	1	8	yes	—
309	C₄×D₂₁₂	C₂³	1	4	yes	complemented
310	C₄×D₂₁₂	C₂³	1	4	yes	complemented
311	D₄×Dic₅₃	C₂³	1	8	yes	—
312	D₄×Dic₅₃	C₂³	1	8	yes	—
313	D₄×Dic₅₃	C₂³	1	4	yes	complemented
314	D₄×Dic₅₃	C₂³	1	4	yes	complemented
315	#13133179	C₂³	1	8	yes	—
316	#13133179	C₂³	1	8	yes	—
317	#13133179	C₂³	1	4	yes	complemented
318	#13133179	C₂³	1	4	yes	complemented
319	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
320	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
321	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
322	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
323	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
324	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
325	#13133177	C₂³	1	8	yes	—
326	#13133177	C₂³	1	8	yes	—
327	#13133177	C₂³	1	8	yes	—
328	#13133177	C₂³	1	8	yes	—
329	#13133177	C₂³	1	8	yes	complemented
330	#13133177	C₂³	1	8	yes	complemented
331	#13133176	C₂³	1	4	yes	—
332	#13133176	C₂³	1	2	yes	—
333	#13133176	C₂³	1	2	yes	—
334	#13133176	C₂³	1	2	yes	—
335	#13133176	C₂³	1	4	yes	complemented
336	#13133175	C₂³	1	4	yes	—
337	#13133175	C₂³	1	4	yes	—
338	#13133175	C₂³	1	4	yes	—
339	#13133175	C₂³	1	4	yes	—
340	#13133175	C₂³	1	4	yes	—
341	#13133175	C₂³	1	8	yes	complemented
342	#13133174	C₂³	1	4	yes	—
343	#13133174	C₂³	1	4	yes	—
344	#13133174	C₂³	1	2	yes	—
345	#13133174	C₂³	1	2	yes	—
346	#13133174	C₂³	1	2	yes	—
347	#13133174	C₂³	1	2	yes	—
348	#13133174	C₂³	1	4	yes	—
349	#13133174	C₂³	1	4	yes	complemented
350	#13133174	C₂³	1	4	yes	complemented
351	#13133173	C₂³	1	4	yes	—
352	#13133173	C₂³	1	4	yes	—
353	#13133173	C₂³	1	4	yes	—
354	#13133173	C₂³	1	4	yes	—
355	#13133173	C₂³	1	4	yes	—
356	#13133173	C₂³	1	8	yes	complemented
357	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
358	C₂×#11719919	C₂³	1	2	yes	—
359	C₂×#11719919	C₂³	1	2	yes	—
360	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
361	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
362	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
363	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
364	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
365	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
366	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
367	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
368	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
369	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
370	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
371	C₂×#11719921	C₂³	1	2	yes	—
372	C₂×#11719921	C₂³	1	2	yes	—
373	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
374	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
375	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
376	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
377	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
378	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
379	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
380	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
381	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
382	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
383	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
384	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
385	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
386	C₂×C₄×Dic₅₃	C₂³	1	8	yes	complemented
387	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
388	C₄²×D₅₃	C₂³	1	2	yes	—
389	C₄²×D₅₃	C₂³	1	2	yes	—
390	C₄²×D₅₃	C₂³	1	2	yes	—
391	C₄²×D₅₃	C₂³	1	1	yes	characteristic
392	C₄²×D₅₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
397	C₄²×D₅₃	C₂³	1	1	yes	characteristic
398	C₄²×D₅₃	C₂³	1	4	yes	—
399	C₄²×D₅₃	C₂³	1	8	yes	—
400	C₄²×D₅₃	C₂³	1	8	yes	complemented
401	C₄²×D₅₃	C₂³	1	4	yes	complemented
402	C₄²×D₅₃	C₂³	1	4	yes	complemented
403	C₂×#41×C₅₃	C₂³	1	2	yes	—
404	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
405	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
406	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
407	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
408	#126×C₅₃	C₂³	1	8	yes	—
409	#126×C₅₃	C₂³	1	8	yes	complemented
410	#125×C₅₃	C₂³	1	8	yes	complemented
411	#125×C₅₃	C₂³	1	2	yes	complemented
412	#124×C₅₃	C₂³	1	8	yes	—
413	#124×C₅₃	C₂³	1	2	yes	complemented
414	#123×C₅₃	C₂³	1	4	yes	—
415	#123×C₅₃	C₂³	1	8	yes	—
416	#123×C₅₃	C₂³	1	8	yes	complemented
417	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
418	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
419	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
420	#121×C₅₃	C₂³	1	4	yes	—
421	#121×C₅₃	C₂³	1	8	yes	—
422	#121×C₅₃	C₂³	1	4	yes	—
423	#120×C₅₃	C₂³	1	4	yes	—
424	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
425	C₄×Q₈×C₅₃	C₂³	1	4	yes	complemented
426	C₄×D₄×C₅₃	C₂³	1	8	yes	—
427	C₄×D₄×C₅₃	C₂³	1	8	yes	—
428	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
429	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
430	#117×C₅₃	C₂³	1	4	yes	—
431	#117×C₅₃	C₂³	1	2	yes	—
432	#117×C₅₃	C₂³	1	2	yes	—
433	#117×C₅₃	C₂³	1	2	yes	—
434	#117×C₅₃	C₂³	1	4	yes	complemented
435	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
436	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
437	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
439	C₂×C₄²×C₅₃	C₂³	1	4	yes	complemented
440	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
441	C₂³×D₅₃	—	2	4	no	—
442	C₂³×D₅₃	—	4	4	no	—
443	C₂³×D₅₃	C₂⁴	1	2	yes	—
444	C₂³×D₅₃	C₂⁴	1	4	yes	—
445	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
446	C₂³×D₅₃	C₂⁴	1	2	yes	—
447	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
448	#41×C₅₃	—	2	8	no	—
449	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
450	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
451	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
452	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
453	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
454	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
455	C₂²×C₄×C₅₃	—	2	4	no	—
456	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
459	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
460	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
461	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
462	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	—
463	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
464	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
465	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
466	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
467	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
468	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
469	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
470	C₂²×Dic₅₃	—	2	4	no	—
471	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
472	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
474	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
475	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
476	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
477	C₂²×Dic₅₃	C₂⁴	1	8	yes	—
478	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
479	#11719949	—	2	8	no	—
480	Q₈×D₅₃	—	2	8	no	—
481	Q₈×D₅₃	—	4	8	no	—
482	#11719947	—	2	16	no	—
483	#11719947	—	2	8	no	—
484	D₄×D₅₃	—	2	16	no	—
485	D₄×D₅₃	—	2	8	no	—
486	D₄×D₅₃	—	4	8	no	—
487	D₄×D₅₃	—	4	16	no	—
488	#11719945	—	2	8	no	—
489	#11719945	—	2	16	no	—
490	C₂×D₂₁₂	C₂⁴	1	4	yes	—
491	C₂×D₂₁₂	C₂⁴	1	2	yes	—
492	C₂×D₂₁₂	C₂⁴	1	8	yes	—
493	C₂×D₂₁₂	C₂⁴	1	4	yes	—
494	C₂×C₄×D₅₃	—	2	4	no	—
495	C₂×C₄×D₅₃	—	2	4	no	—
496	C₂×C₄×D₅₃	—	2	4	no	—
497	C₂×C₄×D₅₃	—	2	8	no	—
498	C₂×C₄×D₅₃	—	2	8	no	—
499	C₂×C₄×D₅₃	—	2	8	no	—
500	C₂×C₄×D₅₃	—	2	8	no	—
501	C₂×C₄×D₅₃	—	2	16	no	—
502	C₂×C₄×D₅₃	—	4	4	no	—
503	C₂×C₄×D₅₃	—	4	16	no	—
504	C₂×C₄×D₅₃	—	4	4	no	—
505	C₂×C₄×D₅₃	#41	1	8	yes	—
506	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
507	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
508	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
509	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
510	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
511	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
512	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
513	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
514	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
515	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
516	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
517	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
518	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
519	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
520	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
521	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
522	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
523	C₂×C₄×D₅₃	C₂⁴	1	8	yes	—
524	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
525	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
527	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
528	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
529	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
530	C₂×Dic₁₀₆	C₂⁴	1	8	yes	—
531	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
532	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
533	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
534	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
535	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
536	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
537	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
538	C₄⋊C₄×C₅₃	C₂⁴	1	8	yes	—
539	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
540	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
541	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
542	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
543	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
545	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
546	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	—
547	C₄²×C₅₃	C₂⁴	1	2	yes	—
548	C₄²×C₅₃	C₂⁴	1	2	yes	—
549	C₄²×C₅₃	C₂⁴	1	2	yes	—
550	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₄²×C₅₃	C₂⁴	1	4	yes	—
553	C₄²×C₅₃	C₂⁴	1	8	yes	—
554	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
555	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
556	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
557	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
558	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
559	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
560	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
561	#11719921	C₂⁴	1	4	yes	—
562	#11719921	C₂⁴	1	4	yes	—
563	#11719921	C₂⁴	1	4	yes	—
564	#11719921	C₂⁴	1	4	yes	—
565	#11719921	C₂⁴	1	8	yes	—
566	#11719921	C₂⁴	1	8	yes	—
567	#11719921	C₂⁴	1	8	yes	—
568	#11719921	C₂⁴	1	8	yes	—
569	#11719921	C₂⁴	1	8	yes	—
570	#11719921	C₂⁴	1	8	yes	—
571	#11719921	C₂⁴	1	8	yes	—
572	#11719921	C₂⁴	1	8	yes	—
573	#11719921	C₂⁴	1	8	yes	—
574	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
575	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
576	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
577	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
578	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
579	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
580	C₄⋊Dic₅₃	C₂⁴	1	8	yes	—
581	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
582	#11719919	C₂⁴	1	4	yes	—
583	#11719919	C₂⁴	1	4	yes	—
584	#11719919	C₂⁴	1	4	yes	—
585	#11719919	C₂⁴	1	4	yes	—
586	#11719919	C₂⁴	1	8	yes	—
587	#11719919	C₂⁴	1	8	yes	—
588	#11719919	C₂⁴	1	8	yes	—
589	#11719919	C₂⁴	1	8	yes	—
590	#11719919	C₂⁴	1	8	yes	—
591	#11719919	C₂⁴	1	8	yes	—
592	#11719919	C₂⁴	1	8	yes	—
593	#11719919	C₂⁴	1	8	yes	—
594	#11719919	C₂⁴	1	8	yes	—
595	C₄×Dic₅₃	C₂⁴	1	4	yes	—
596	C₄×Dic₅₃	C₂⁴	1	2	yes	—
597	C₄×Dic₅₃	C₂⁴	1	2	yes	—
598	C₄×Dic₅₃	C₂⁴	1	4	yes	—
599	C₄×Dic₅₃	C₂⁴	1	2	yes	—
600	C₄×Dic₅₃	C₂⁴	1	2	yes	—
601	C₄×Dic₅₃	C₂⁴	1	2	yes	—
602	C₄×Dic₅₃	C₂⁴	1	2	yes	—
603	C₄×Dic₅₃	C₂⁴	1	2	yes	—
604	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
605	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
606	C₄×Dic₅₃	C₂⁴	1	8	yes	—
607	C₄×Dic₅₃	C₂⁴	1	4	yes	—
608	C₄×Dic₅₃	C₂⁴	1	8	yes	—
609	C₄×Dic₅₃	C₂⁴	1	8	yes	—
610	C₄×Dic₅₃	C₂⁴	1	8	yes	—
611	C₂³×C₅₃	—	2	2	no	—
612	C₂³×C₅₃	—	4	2	no	—
613	C₂³×C₅₃	C₂⁵	1	4	yes	—
614	C₂³×C₅₃	C₂⁵	1	2	yes	—
615	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
616	C₂²×D₅₃	—	2	4	no	—
617	C₂²×D₅₃	—	2	2	no	—
618	C₂²×D₅₃	—	2	4	no	—
619	C₂²×D₅₃	—	2	4	no	—
620	C₂²×D₅₃	—	2	8	no	—
621	C₂²×D₅₃	—	2	16	no	—
622	C₂²×D₅₃	—	2	8	no	—
623	C₂²×D₅₃	—	4	4	no	—
624	C₂²×D₅₃	—	4	2	no	—
625	C₂²×D₅₃	—	4	16	no	—
626	C₂²×D₅₃	C₂×#41	1	4	yes	—
627	C₂²×D₅₃	C₂⁵	1	4	yes	—
628	C₂²×D₅₃	C₂⁵	1	2	yes	—
629	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
630	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
631	Q₈×C₅₃	—	2	4	no	—
632	Q₈×C₅₃	—	4	4	no	—
633	D₄×C₅₃	—	2	8	no	—
634	D₄×C₅₃	—	2	4	no	—
635	D₄×C₅₃	—	4	8	no	—
636	D₄×C₅₃	—	4	4	no	—
637	C₂×C₄×C₅₃	—	2	2	no	—
638	C₂×C₄×C₅₃	—	2	4	no	—
639	C₂×C₄×C₅₃	—	2	4	no	—
640	C₂×C₄×C₅₃	—	2	8	no	—
641	C₂×C₄×C₅₃	—	4	2	no	—
642	C₂×C₄×C₅₃	—	4	8	no	—
643	C₂×C₄×C₅₃	—	4	2	no	—
644	C₂×C₄×C₅₃	C₂×#41	1	4	yes	—
645	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
646	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
647	C₂×C₄×C₅₃	C₂⁵	1	8	yes	—
648	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
649	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
650	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
651	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
652	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
653	C₂²⋊D₅₃	—	2	8	no	—
654	C₂²⋊D₅₃	—	2	8	no	—
655	C₂²⋊D₅₃	—	2	8	no	—
656	C₂²⋊D₅₃	—	4	8	no	—
657	C₂²⋊D₅₃	—	4	8	no	—
658	C₂²⋊D₅₃	—	4	8	no	—
659	C₂×Dic₅₃	—	2	2	no	—
660	C₂×Dic₅₃	—	2	4	no	—
661	C₂×Dic₅₃	—	2	4	no	—
662	C₂×Dic₅₃	—	2	8	no	—
663	C₂×Dic₅₃	—	4	2	no	—
664	C₂×Dic₅₃	—	4	8	no	—
665	C₂×Dic₅₃	—	4	2	no	—
666	C₂×Dic₅₃	C₂×#41	1	4	yes	—
667	C₂×Dic₅₃	C₂⁵	1	2	yes	—
668	C₂×Dic₅₃	C₂⁵	1	4	yes	—
669	C₂×Dic₅₃	C₂⁵	1	8	yes	—
670	C₂×Dic₅₃	C₂⁵	1	4	yes	—
671	C₂×Dic₅₃	C₂⁵	1	2	yes	—
672	C₂×Dic₅₃	C₂⁵	1	2	yes	—
673	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
674	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
675	D₂₁₂	—	2	8	no	—
676	D₂₁₂	—	2	4	no	—
677	D₂₁₂	—	4	8	no	—
678	D₂₁₂	—	4	4	no	—
679	C₄×D₅₃	—	2	4	no	—
680	C₄×D₅₃	—	2	4	no	—
681	C₄×D₅₃	—	2	8	no	—
682	C₄×D₅₃	—	2	8	no	—
683	C₄×D₅₃	—	2	4	no	—
684	C₄×D₅₃	—	2	16	no	—
685	C₄×D₅₃	—	2	4	no	—
686	C₄×D₅₃	—	2	4	no	—
687	C₄×D₅₃	—	2	4	no	—
688	C₄×D₅₃	—	2	8	no	—
689	C₄×D₅₃	—	2	4	no	—
690	C₄×D₅₃	—	2	4	no	—
691	C₄×D₅₃	—	2	8	no	—
692	C₄×D₅₃	—	4	2	no	—
693	C₄×D₅₃	—	4	8	no	—
694	C₄×D₅₃	—	4	8	no	—
695	C₄×D₅₃	—	4	4	no	—
696	C₄×D₅₃	—	4	2	no	—
697	C₄×D₅₃	C₂×#41	1	4	yes	—
698	C₄×D₅₃	C₂×#41	1	4	yes	—
699	C₄×D₅₃	C₂×#41	1	4	yes	—
700	C₄×D₅₃	C₂×#41	1	4	yes	—
701	Dic₁₀₆	—	2	4	no	—
702	Dic₁₀₆	—	2	8	no	—
703	Dic₁₀₆	—	4	8	no	—
704	Dic₁₀₆	—	4	4	no	—
705	C₂×#3455	—	53	1	no	maximal, Sylow
706	C₂²×C₅₃	—	2	2	no	—
707	C₂²×C₅₃	—	2	2	no	—
708	C₂²×C₅₃	—	2	4	no	—
709	C₂²×C₅₃	—	2	8	no	—
710	C₂²×C₅₃	—	2	4	no	—
711	C₂²×C₅₃	—	4	4	no	—
712	C₂²×C₅₃	C₂²×#41	1	2	yes	—
713	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
714	C₂×D₅₃	—	2	2	no	—
715	C₂×D₅₃	—	2	8	no	—
716	C₂×D₅₃	—	2	2	no	—
717	C₂×D₅₃	—	2	4	no	—
718	C₂×D₅₃	—	2	8	no	—
719	C₂×D₅₃	—	2	4	no	—
720	C₂×D₅₃	—	4	8	no	—
721	C₂×D₅₃	—	4	4	no	—
722	C₂×D₅₃	—	4	16	no	—
723	C₂×D₅₃	—	4	8	no	—
724	C₂×D₅₃	C₂²×#41	1	2	yes	—
725	C₂×D₅₃	C₂²×#41	1	2	yes	—
726	C₂×D₅₃	#585	1	4	yes	—
727	C₄×C₅₃	—	2	4	no	—
728	C₄×C₅₃	—	2	2	no	—
729	C₄×C₅₃	—	2	2	no	—
730	C₄×C₅₃	—	2	8	no	—
731	C₄×C₅₃	—	2	4	no	—
732	C₄×C₅₃	—	2	2	no	—
733	C₄×C₅₃	C₂²×#41	1	2	yes	—
734	C₄×C₅₃	C₂²×#41	1	2	yes	—
735	Dic₅₃	—	2	4	no	—
736	Dic₅₃	—	2	2	no	—
737	Dic₅₃	—	2	2	no	—
738	Dic₅₃	—	2	8	no	—
739	Dic₅₃	—	2	4	no	—
740	Dic₅₃	—	2	2	no	—
741	Dic₅₃	C₂²×#41	1	2	yes	—
742	Dic₅₃	C₂²×#41	1	2	yes	—
743	#3455	—	53	4	no	—
744	#3455	—	53	2	no	—
745	#3455	—	53	2	no	—
746	#3455	—	53	4	no	—
747	#3455	—	53	4	no	—
748	#3455	—	53	1	no	—
749	#3455	—	53	1	no	—
750	#3455	—	53	8	no	—
751	#3455	—	53	2	no	—
752	#3455	—	53	2	no	—
753	#3455	—	53	1	no	—
754	#3455	D₅₃	1	1	yes	characteristic, direct product factor
755	C₂×#542	—	53	4	no	—
756	C₂×#541	—	53	2	no	—
757	C₂×#540	—	53	2	no	—
758	C₂×#539	—	53	4	no	—
759	C₂×#538	—	53	4	no	—
760	C₂×#533	—	53	1	no	—
761	C₂×#532	—	53	1	no	—
762	C₂×#529	—	53	8	no	—
763	C₂×#525	—	53	2	no	—
764	C₂×C₄×#41	—	53	2	no	—
765	C₂²×#117	—	53	1	no	—
766	C₂×C₅₃	—	2	2	no	—
767	C₂×C₅₃	—	4	2	no	—
768	C₂×C₅₃	—	4	4	no	—
769	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
770	C₂×C₅₃	C₂×#585	1	2	yes	—
771	D₅₃	—	2	2	no	—
772	D₅₃	—	4	4	no	—
773	D₅₃	—	4	2	no	—
774	D₅₃	#3455	1	4	yes	direct product factor
775	C₂²×#41	—	53	2	no	—
776	C₂⁴×C₄	—	53	1	no	—
777	#542	—	53	4	no	—
778	#542	—	53	8	no	—
779	#542	—	53	8	no	—
780	#542	—	53	4	no	—
781	#542	—	53	8	no	—
782	#542	—	53	4	no	—
783	#542	—	53	8	no	—
784	#542	—	53	4	no	—
785	#542	—	53	4	no	—
786	#542	—	53	4	no	—
787	#542	—	53	4	no	—
788	#542	C₂×D₅₃	1	4	yes	complemented
789	#541	—	53	2	no	—
790	#541	—	53	8	no	—
791	#541	—	53	8	no	—
792	#541	—	53	2	no	—
793	#541	—	53	4	no	—
794	#541	—	53	4	no	—
795	#541	—	53	2	no	—
796	#541	C₂×D₅₃	1	2	yes	complemented
797	#540	—	53	2	no	—
798	#540	—	53	2	no	—
799	#540	—	53	8	no	—
800	#540	—	53	8	no	—
801	#540	—	53	4	no	—
802	#540	—	53	4	no	—
803	#540	—	53	2	no	—
804	#540	C₂×D₅₃	1	2	yes	complemented
805	#539	—	53	8	no	—
806	#539	—	53	8	no	—
807	#539	—	53	8	no	—
808	#539	—	53	8	no	—
809	#539	—	53	4	no	—
810	#539	—	53	8	no	—
811	#539	—	53	4	no	—
812	#539	—	53	8	no	—
813	#539	—	53	4	no	—
814	#539	C₂×D₅₃	1	4	yes	complemented
815	#538	—	53	8	no	—
816	#538	—	53	8	no	—
817	#538	—	53	8	no	—
818	#538	—	53	4	no	—
819	#538	—	53	8	no	—
820	#538	—	53	4	no	—
821	#538	—	53	8	no	—
822	#538	—	53	8	no	—
823	#538	—	53	4	no	—
824	#538	C₂×D₅₃	1	4	yes	complemented
825	#533	—	53	2	no	—
826	#533	—	53	2	no	—
827	#533	—	53	4	no	—
828	#533	—	53	4	no	—
829	#533	—	53	2	no	—
830	#533	—	53	1	no	—
831	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
832	#532	—	53	2	no	—
833	#532	—	53	1	no	—
834	#532	—	53	1	no	—
835	#532	—	53	2	no	—
836	#532	—	53	4	no	—
837	#532	—	53	4	no	—
838	#532	—	53	1	no	—
839	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
840	C₂×C₄⋊Q₈	—	53	1	no	—
841	C₂×C₄⋊Q₈	—	53	2	no	—
842	C₂×#127	—	53	1	no	—
843	#529	—	53	8	no	—
844	#529	—	53	8	no	—
845	#529	—	53	8	no	—
846	#529	—	53	8	no	—
847	#529	—	53	8	no	—
848	#529	—	53	8	no	—
849	#529	—	53	8	no	—
850	#529	—	53	8	no	—
851	#529	—	53	8	no	—
852	#529	—	53	8	no	—
853	#529	—	53	8	no	—
854	#529	—	53	8	no	—
855	#529	—	53	8	no	—
856	#529	—	53	8	no	—
857	#529	—	53	8	no	—
858	#529	C₂×D₅₃	1	8	yes	complemented
859	C₂×#126	—	53	8	no	—
860	C₂×#126	—	53	8	no	—
861	C₂×#125	—	53	8	no	—
862	C₂×#125	—	53	2	no	—
863	C₂×#124	—	53	8	no	—
864	C₂×#124	—	53	2	no	—
865	#525	—	53	2	no	—
866	#525	—	53	2	no	—
867	#525	—	53	4	no	—
868	#525	—	53	4	no	—
869	#525	—	53	4	no	—
870	#525	—	53	4	no	—
871	#525	—	53	8	no	—
872	#525	—	53	2	no	—
873	#525	C₂×D₅₃	1	2	yes	complemented
874	C₂×#123	—	53	4	no	—
875	C₂×#123	—	53	8	no	—
876	C₂×#123	—	53	8	no	—
877	C₂×C₂²⋊Q₈	—	53	4	no	—
878	C₂×C₂²⋊Q₈	—	53	4	no	—
879	C₂×C₂²⋊Q₈	—	53	8	no	—
880	C₂×#121	—	53	4	no	—
881	C₂×#121	—	53	8	no	—
882	C₂×#121	—	53	4	no	—
883	C₂×#120	—	53	4	no	—
884	C₄×#41	—	53	2	no	—
885	C₄×#41	—	53	4	no	—
886	C₄×#41	—	53	8	no	—
887	C₄×#41	—	53	4	no	—
888	C₄×#41	—	53	2	no	—
889	C₄×#41	—	53	4	no	—
890	C₄×#41	—	53	2	no	—
891	C₄×#41	—	53	4	no	—
892	C₄×#41	C₂×D₅₃	1	2	yes	complemented
893	C₂×C₄×Q₈	—	53	4	no	—
894	C₂×C₄×Q₈	—	53	4	no	—
895	C₂×C₄×D₄	—	53	8	no	—
896	C₂×C₄×D₄	—	53	8	no	—
897	C₂×C₄×D₄	—	53	4	no	—
898	C₂×C₄×D₄	—	53	4	no	—
899	C₂×#117	—	53	1	no	—
900	C₂×#117	—	53	4	no	—
901	C₂×#117	—	53	2	no	—
902	C₂×#117	—	53	2	no	—
903	C₂×#117	—	53	2	no	—
904	C₂×#117	—	53	4	no	—
905	C₂×#117	—	53	2	no	—
906	C₂×#117	—	53	2	no	—
907	C₂×#117	—	53	4	no	—
908	C₂×#117	—	53	2	no	—
909	C₂×#117	—	53	2	no	—
910	C₂×#117	—	53	1	no	—
911	C₂×#117	—	53	1	no	—
912	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
913	C₂²×C₄⋊C₄	—	53	2	no	—
914	C₂²×C₂²⋊C₄	—	53	2	no	—
915	C₂²×C₄²	—	53	1	no	—
916	C₂²×C₄²	—	53	1	no	—
917	C₂²×C₄²	—	53	4	no	—
918	C₅₃	C₂×#3455	1	1	yes	characteristic, complemented, Sylow
919	C₂⁵	—	53	1	no	—
920	C₂×#41	—	53	2	no	—
921	C₂×#41	—	53	4	no	—
922	C₂×#41	—	53	2	no	—
923	C₂×#41	—	53	4	no	—
924	C₂×#41	—	53	2	no	—
925	C₂×#41	—	106	16	no	—
926	C₂×#41	C₂²×D₅₃	1	2	yes	—
927	C₂²×Q₈	—	53	2	no	—
928	C₂²×Q₈	—	53	4	no	—
929	C₂²×D₄	—	53	4	no	—
930	C₂²×D₄	—	53	2	no	—
931	C₂²×D₄	—	53	8	no	—
932	C₂²×D₄	—	53	4	no	—
933	C₂³×C₄	—	53	1	no	—
934	C₂³×C₄	—	53	1	no	—
935	C₂³×C₄	—	53	1	no	—
936	C₂³×C₄	—	53	2	no	—
937	C₂³×C₄	—	53	2	no	—
938	C₂³×C₄	—	53	1	no	—
939	C₂³×C₄	—	53	2	no	—
940	C₂³×C₄	—	53	2	no	—
941	C₂³×C₄	—	53	1	no	—
942	C₂³×C₄	—	53	4	no	—
943	C₂³×C₄	—	53	2	no	—
944	C₂³×C₄	—	53	2	no	—
945	C₂³×C₄	—	53	8	no	—
946	C₂³×C₄	—	106	8	no	—
947	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
948	C₄⋊Q₈	—	53	2	no	—
949	C₄⋊Q₈	—	53	4	no	—
950	C₄⋊Q₈	—	53	4	no	—
951	C₄⋊Q₈	—	53	4	no	—
952	C₄⋊Q₈	—	53	4	no	—
953	C₄⋊Q₈	—	53	1	no	—
954	C₄⋊Q₈	—	53	2	no	—
955	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
956	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
957	#127	—	53	4	no	—
958	#127	—	53	2	no	—
959	#127	—	53	1	no	—
960	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
961	#126	—	53	8	no	—
962	#126	—	53	8	no	—
963	#126	—	53	8	no	—
964	#126	—	53	8	no	—
965	#126	—	53	8	no	—
966	#126	—	53	8	no	—
967	#126	—	53	8	no	—
968	#126	—	53	8	no	—
969	#126	—	53	8	no	—
970	#126	—	53	8	no	—
971	#126	—	53	8	no	—
972	#126	—	53	8	no	—
973	#126	—	53	8	no	—
974	#126	—	53	8	no	—
975	#126	C₂²×D₅₃	1	8	yes	—
976	#126	C₂²×D₅₃	1	8	yes	complemented
977	#125	—	53	8	no	—
978	#125	—	53	8	no	—
979	#125	—	53	8	no	—
980	#125	—	53	8	no	—
981	#125	—	53	8	no	—
982	#125	—	53	8	no	—
983	#125	—	53	8	no	—
984	#125	—	53	4	no	—
985	#125	—	53	8	no	—
986	#125	—	53	2	no	—
987	#125	C₂²×D₅₃	1	8	yes	complemented
988	#125	C₂²×D₅₃	1	2	yes	complemented
989	#124	—	53	8	no	—
990	#124	—	53	2	no	—
991	#124	—	53	8	no	—
992	#124	—	53	2	no	—
993	#124	—	53	8	no	—
994	#124	—	53	8	no	—
995	#124	—	53	8	no	—
996	#124	—	53	8	no	—
997	#124	—	53	8	no	—
998	#124	—	53	8	no	—
999	#124	—	53	2	no	—
1000	#124	C₂²×D₅₃	1	8	yes	—
1001	#124	C₂²×D₅₃	1	2	yes	complemented
1002	#123	—	53	4	no	—
1003	#123	—	53	8	no	—
1004	#123	—	53	8	no	—
1005	#123	—	53	4	no	—
1006	#123	—	53	8	no	—
1007	#123	—	53	8	no	—
1008	#123	—	53	8	no	—
1009	#123	—	53	8	no	—
1010	#123	—	53	8	no	—
1011	#123	—	53	8	no	—
1012	#123	—	53	8	no	—
1013	#123	—	53	8	no	—
1014	#123	—	53	4	no	—
1015	#123	—	53	8	no	—
1016	#123	—	53	8	no	—
1017	#123	—	53	8	no	—
1018	#123	—	53	8	no	—
1019	#123	—	53	8	no	—
1020	#123	—	53	8	no	—
1021	#123	C₂²×D₅₃	1	4	yes	—
1022	#123	C₂²×D₅₃	1	8	yes	—
1023	#123	C₂²×D₅₃	1	8	yes	complemented
1024	C₂²⋊Q₈	—	53	4	no	—
1025	C₂²⋊Q₈	—	53	8	no	—
1026	C₂²⋊Q₈	—	53	4	no	—
1027	C₂²⋊Q₈	—	53	4	no	—
1028	C₂²⋊Q₈	—	53	8	no	—
1029	C₂²⋊Q₈	—	53	4	no	—
1030	C₂²⋊Q₈	—	53	8	no	—
1031	C₂²⋊Q₈	—	53	4	no	—
1032	C₂²⋊Q₈	—	53	8	no	—
1033	C₂²⋊Q₈	—	53	8	no	—
1034	C₂²⋊Q₈	—	53	8	no	—
1035	C₂²⋊Q₈	—	53	8	no	—
1036	C₂²⋊Q₈	—	53	4	no	—
1037	C₂²⋊Q₈	—	53	8	no	—
1038	C₂²⋊Q₈	—	53	8	no	—
1039	C₂²⋊Q₈	—	53	8	no	—
1040	C₂²⋊Q₈	—	53	8	no	—
1041	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1042	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1043	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1044	#121	—	53	4	no	—
1045	#121	—	53	8	no	—
1046	#121	—	53	8	no	—
1047	#121	—	53	8	no	—
1048	#121	—	53	8	no	—
1049	#121	—	53	4	no	—
1050	#121	—	53	8	no	—
1051	#121	—	53	4	no	—
1052	#121	—	53	8	no	—
1053	#121	—	53	4	no	—
1054	#121	—	53	4	no	—
1055	#121	—	53	8	no	—
1056	#121	—	53	4	no	—
1057	#121	—	53	8	no	—
1058	#121	—	53	8	no	—
1059	#121	—	53	8	no	—
1060	#121	—	53	8	no	—
1061	#121	C₂²×D₅₃	1	4	yes	—
1062	#121	C₂²×D₅₃	1	8	yes	—
1063	#121	C₂²×D₅₃	1	4	yes	—
1064	#120	—	53	4	no	—
1065	#120	—	53	4	no	—
1066	#120	—	53	8	no	—
1067	#120	—	53	8	no	—
1068	#120	—	53	4	no	—
1069	#120	C₂²×D₅₃	1	4	yes	—
1070	C₄×Q₈	—	53	4	no	—
1071	C₄×Q₈	—	53	4	no	—
1072	C₄×Q₈	—	53	8	no	—
1073	C₄×Q₈	—	53	4	no	—
1074	C₄×Q₈	—	53	4	no	—
1075	C₄×Q₈	—	53	8	no	—
1076	C₄×Q₈	—	53	8	no	—
1077	C₄×Q₈	—	53	4	no	—
1078	C₄×Q₈	—	53	4	no	—
1079	C₄×Q₈	—	53	8	no	—
1080	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1081	C₄×Q₈	C₂²×D₅₃	1	4	yes	complemented
1082	C₄×D₄	—	53	8	no	—
1083	C₄×D₄	—	53	4	no	—
1084	C₄×D₄	—	53	8	no	—
1085	C₄×D₄	—	53	4	no	—
1086	C₄×D₄	—	53	8	no	—
1087	C₄×D₄	—	53	8	no	—
1088	C₄×D₄	—	53	8	no	—
1089	C₄×D₄	—	53	8	no	—
1090	C₄×D₄	—	53	8	no	—
1091	C₄×D₄	—	53	8	no	—
1092	C₄×D₄	—	53	8	no	—
1093	C₄×D₄	—	53	4	no	—
1094	C₄×D₄	—	53	8	no	—
1095	C₄×D₄	—	53	4	no	—
1096	C₄×D₄	—	53	8	no	—
1097	C₄×D₄	—	53	8	no	—
1098	C₄×D₄	—	53	8	no	—
1099	C₄×D₄	—	53	8	no	—
1100	C₄×D₄	—	53	8	no	—
1101	C₄×D₄	—	53	8	no	—
1102	C₄×D₄	—	53	8	no	—
1103	C₄×D₄	—	53	4	no	—
1104	C₄×D₄	—	53	8	no	—
1105	C₄×D₄	—	53	4	no	—
1106	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1107	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1108	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1109	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1110	#117	—	53	4	no	—
1111	#117	—	53	2	no	—
1112	#117	—	53	2	no	—
1113	#117	—	53	2	no	—
1114	#117	—	53	4	no	—
1115	#117	—	53	4	no	—
1116	#117	—	53	4	no	—
1117	#117	—	53	4	no	—
1118	#117	—	53	4	no	—
1119	#117	—	53	4	no	—
1120	#117	—	53	8	no	—
1121	#117	—	53	4	no	—
1122	#117	—	53	4	no	—
1123	#117	—	53	4	no	—
1124	#117	—	53	4	no	—
1125	#117	—	53	4	no	—
1126	#117	—	53	8	no	—
1127	#117	—	53	4	no	—
1128	#117	—	53	4	no	—
1129	#117	—	53	2	no	—
1130	#117	—	53	2	no	—
1131	#117	—	53	2	no	—
1132	#117	—	53	2	no	—
1133	#117	—	53	4	no	—
1134	#117	—	53	4	no	—
1135	#117	—	53	4	no	—
1136	#117	C₂²×D₅₃	1	4	yes	—
1137	#117	C₂²×D₅₃	1	2	yes	—
1138	#117	C₂²×D₅₃	1	2	yes	—
1139	#117	C₂²×D₅₃	1	2	yes	—
1140	#117	C₂²×D₅₃	1	4	yes	complemented
1141	C₂×C₄⋊C₄	—	53	2	no	—
1142	C₂×C₄⋊C₄	—	53	2	no	—
1143	C₂×C₄⋊C₄	—	53	2	no	—
1144	C₂×C₄⋊C₄	—	53	4	no	—
1145	C₂×C₄⋊C₄	—	53	4	no	—
1146	C₂×C₄⋊C₄	—	53	4	no	—
1147	C₂×C₄⋊C₄	—	53	4	no	—
1148	C₂×C₄⋊C₄	—	53	4	no	—
1149	C₂×C₄⋊C₄	—	53	8	no	—
1150	C₂×C₄⋊C₄	—	53	4	no	—
1151	C₂×C₄⋊C₄	—	53	8	no	—
1152	C₂×C₄⋊C₄	—	53	8	no	—
1153	C₂×C₄⋊C₄	—	53	4	no	—
1154	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
1155	C₂×C₂²⋊C₄	—	53	2	no	—
1156	C₂×C₂²⋊C₄	—	53	2	no	—
1157	C₂×C₂²⋊C₄	—	53	2	no	—
1158	C₂×C₂²⋊C₄	—	53	4	no	—
1159	C₂×C₂²⋊C₄	—	53	4	no	—
1160	C₂×C₂²⋊C₄	—	53	4	no	—
1161	C₂×C₂²⋊C₄	—	53	4	no	—
1162	C₂×C₂²⋊C₄	—	53	4	no	—
1163	C₂×C₂²⋊C₄	—	53	8	no	—
1164	C₂×C₂²⋊C₄	—	53	8	no	—
1165	C₂×C₂²⋊C₄	—	53	8	no	—
1166	C₂×C₂²⋊C₄	—	53	8	no	—
1167	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1168	C₂×C₄²	—	53	2	no	—
1169	C₂×C₄²	—	53	1	no	—
1170	C₂×C₄²	—	53	2	no	—
1171	C₂×C₄²	—	53	1	no	—
1172	C₂×C₄²	—	53	8	no	—
1173	C₂×C₄²	—	53	4	no	—
1174	C₂×C₄²	—	53	2	no	—
1175	C₂×C₄²	—	53	2	no	—
1176	C₂×C₄²	—	53	2	no	—
1177	C₂×C₄²	—	53	4	no	—
1178	C₂×C₄²	—	53	2	no	—
1179	C₂×C₄²	—	53	2	no	—
1180	C₂×C₄²	—	53	1	no	—
1181	C₂×C₄²	—	53	1	no	—
1182	C₂×C₄²	—	53	1	no	—
1183	C₂×C₄²	—	53	1	no	—
1184	C₂×C₄²	—	53	2	no	—
1185	C₂×C₄²	—	53	8	no	—
1186	C₂×C₄²	—	53	8	no	—
1187	C₂×C₄²	—	53	4	no	—
1188	C₂×C₄²	—	53	4	no	—
1189	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1190	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1191	C₂×C₄²	C₂²×D₅₃	1	4	yes	complemented
1192	C₂⁴	—	53	1	no	—
1193	C₂⁴	—	53	2	no	—
1194	C₂⁴	—	53	4	no	—
1195	C₂⁴	—	53	2	no	—
1196	C₂⁴	—	53	1	no	—
1197	C₂⁴	—	106	4	no	—
1198	C₂⁴	—	212	4	no	—
1199	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1200	#41	—	2	8	no	—
1201	#41	—	106	16	no	—
1202	#41	—	106	16	no	—
1203	#41	—	106	8	no	—
1204	#41	—	106	8	no	—
1205	#41	—	106	8	no	—
1206	C₂×Q₈	—	53	4	no	—
1207	C₂×Q₈	—	53	2	no	—
1208	C₂×Q₈	—	53	8	no	—
1209	C₂×Q₈	—	53	4	no	—
1210	C₂×Q₈	—	106	8	no	—
1211	C₂×Q₈	—	212	8	no	—
1212	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1213	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1214	C₂×D₄	—	53	4	no	—
1215	C₂×D₄	—	53	4	no	—
1216	C₂×D₄	—	53	4	no	—
1217	C₂×D₄	—	53	8	no	—
1218	C₂×D₄	—	53	8	no	—
1219	C₂×D₄	—	53	8	no	—
1220	C₂×D₄	—	53	4	no	—
1221	C₂×D₄	—	53	2	no	—
1222	C₂×D₄	—	53	8	no	—
1223	C₂×D₄	—	53	4	no	—
1224	C₂×D₄	—	106	8	no	—
1225	C₂×D₄	—	106	16	no	—
1226	C₂×D₄	—	212	8	no	—
1227	C₂×D₄	—	212	16	no	—
1228	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1229	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1230	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1231	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1232	C₂²×C₄	—	2	4	no	—
1233	C₂²×C₄	—	53	1	no	—
1234	C₂²×C₄	—	53	8	no	—
1235	C₂²×C₄	—	53	1	no	—
1236	C₂²×C₄	—	53	1	no	—
1237	C₂²×C₄	—	53	1	no	—
1238	C₂²×C₄	—	53	1	no	—
1239	C₂²×C₄	—	53	4	no	—
1240	C₂²×C₄	—	53	1	no	—
1241	C₂²×C₄	—	53	2	no	—
1242	C₂²×C₄	—	53	2	no	—
1243	C₂²×C₄	—	53	2	no	—
1244	C₂²×C₄	—	53	2	no	—
1245	C₂²×C₄	—	53	8	no	—
1246	C₂²×C₄	—	53	4	no	—
1247	C₂²×C₄	—	53	2	no	—
1248	C₂²×C₄	—	53	4	no	—
1249	C₂²×C₄	—	53	8	no	—
1250	C₂²×C₄	—	53	2	no	—
1251	C₂²×C₄	—	53	4	no	—
1252	C₂²×C₄	—	53	2	no	—
1253	C₂²×C₄	—	53	2	no	—
1254	C₂²×C₄	—	53	2	no	—
1255	C₂²×C₄	—	53	2	no	—
1256	C₂²×C₄	—	53	2	no	—
1257	C₂²×C₄	—	53	4	no	—
1258	C₂²×C₄	—	53	2	no	—
1259	C₂²×C₄	—	53	4	no	—
1260	C₂²×C₄	—	53	2	no	—
1261	C₂²×C₄	—	53	2	no	—
1262	C₂²×C₄	—	53	8	no	—
1263	C₂²×C₄	—	53	8	no	—
1264	C₂²×C₄	—	106	4	no	—
1265	C₂²×C₄	—	106	8	no	—
1266	C₂²×C₄	—	106	8	no	—
1267	C₂²×C₄	—	106	8	no	—
1268	C₂²×C₄	—	106	8	no	—
1269	C₂²×C₄	—	106	16	no	—
1270	C₂²×C₄	—	106	4	no	—
1271	C₂²×C₄	—	106	4	no	—
1272	C₂²×C₄	—	106	4	no	—
1273	C₂²×C₄	—	212	4	no	—
1274	C₂²×C₄	—	212	16	no	—
1275	C₂²×C₄	—	212	4	no	—
1276	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1277	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1278	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1279	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1280	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1281	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1282	C₂²×C₄	C₂³×D₅₃	1	8	yes	—
1283	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1284	C₄⋊C₄	—	53	4	no	—
1285	C₄⋊C₄	—	53	4	no	—
1286	C₄⋊C₄	—	53	4	no	—
1287	C₄⋊C₄	—	53	4	no	—
1288	C₄⋊C₄	—	53	4	no	—
1289	C₄⋊C₄	—	53	4	no	—
1290	C₄⋊C₄	—	53	8	no	—
1291	C₄⋊C₄	—	53	4	no	—
1292	C₄⋊C₄	—	53	8	no	—
1293	C₄⋊C₄	—	53	8	no	—
1294	C₄⋊C₄	—	53	8	no	—
1295	C₄⋊C₄	—	53	8	no	—
1296	C₄⋊C₄	—	53	4	no	—
1297	C₄⋊C₄	—	53	8	no	—
1298	C₄⋊C₄	—	53	8	no	—
1299	C₄⋊C₄	—	53	8	no	—
1300	C₄⋊C₄	—	53	8	no	—
1301	C₄⋊C₄	—	53	8	no	—
1302	C₄⋊C₄	—	53	8	no	—
1303	C₄⋊C₄	—	53	8	no	—
1304	C₄⋊C₄	—	53	4	no	—
1305	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1306	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1307	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1308	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1309	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1310	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1311	C₄⋊C₄	C₂³×D₅₃	1	8	yes	—
1312	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1313	C₂²⋊C₄	—	53	4	no	—
1314	C₂²⋊C₄	—	53	4	no	—
1315	C₂²⋊C₄	—	53	4	no	—
1316	C₂²⋊C₄	—	53	8	no	—
1317	C₂²⋊C₄	—	53	8	no	—
1318	C₂²⋊C₄	—	53	8	no	—
1319	C₂²⋊C₄	—	53	8	no	—
1320	C₂²⋊C₄	—	53	4	no	—
1321	C₂²⋊C₄	—	53	4	no	—
1322	C₂²⋊C₄	—	53	4	no	—
1323	C₂²⋊C₄	—	53	4	no	—
1324	C₂²⋊C₄	—	53	8	no	—
1325	C₂²⋊C₄	—	53	8	no	—
1326	C₂²⋊C₄	—	53	8	no	—
1327	C₂²⋊C₄	—	53	8	no	—
1328	C₂²⋊C₄	—	53	8	no	—
1329	C₂²⋊C₄	—	53	8	no	—
1330	C₂²⋊C₄	—	53	8	no	—
1331	C₂²⋊C₄	—	53	8	no	—
1332	C₂²⋊C₄	—	53	8	no	—
1333	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1334	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1335	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1336	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1337	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1338	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1339	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	—
1340	C₄²	—	53	4	no	—
1341	C₄²	—	53	2	no	—
1342	C₄²	—	53	8	no	—
1343	C₄²	—	53	2	no	—
1344	C₄²	—	53	4	no	—
1345	C₄²	—	53	2	no	—
1346	C₄²	—	53	2	no	—
1347	C₄²	—	53	1	no	—
1348	C₄²	—	53	2	no	—
1349	C₄²	—	53	1	no	—
1350	C₄²	—	53	8	no	—
1351	C₄²	—	53	8	no	—
1352	C₄²	—	53	8	no	—
1353	C₄²	—	53	2	no	—
1354	C₄²	—	53	2	no	—
1355	C₄²	—	53	4	no	—
1356	C₄²	C₂³×D₅₃	1	2	yes	—
1357	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1358	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1359	C₄²	C₂³×D₅₃	1	8	yes	—
1360	C₄²	C₂³×D₅₃	1	2	yes	—
1361	C₄²	C₂³×D₅₃	1	2	yes	—
1362	C₄²	C₂³×D₅₃	1	4	yes	—
1363	C₂³	—	2	2	no	—
1364	C₂³	—	4	2	no	—
1365	C₂³	—	53	1	no	—
1366	C₂³	—	53	4	no	—
1367	C₂³	—	53	1	no	—
1368	C₂³	—	53	2	no	—
1369	C₂³	—	53	4	no	—
1370	C₂³	—	106	4	no	—
1371	C₂³	—	106	4	no	—
1372	C₂³	—	106	4	no	—
1373	C₂³	—	106	8	no	—
1374	C₂³	—	106	16	no	—
1375	C₂³	—	106	8	no	—
1376	C₂³	—	106	2	no	—
1377	C₂³	—	212	2	no	—
1378	C₂³	—	212	4	no	—
1379	C₂³	—	212	16	no	—
1380	C₂³	C₂⁴×D₅₃	1	2	yes	—
1381	C₂³	C₂⁴×D₅₃	1	4	yes	—
1382	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1383	Q₈	—	2	4	no	—
1384	Q₈	—	4	4	no	—
1385	Q₈	—	106	8	no	—
1386	Q₈	—	106	4	no	—
1387	Q₈	—	212	8	no	—
1388	Q₈	—	212	4	no	—
1389	D₄	—	2	8	no	—
1390	D₄	—	2	4	no	—
1391	D₄	—	4	4	no	—
1392	D₄	—	4	8	no	—
1393	D₄	—	106	8	no	—
1394	D₄	—	106	8	no	—
1395	D₄	—	106	8	no	—
1396	D₄	—	106	8	no	—
1397	D₄	—	106	4	no	—
1398	D₄	—	212	4	no	—
1399	D₄	—	212	8	no	—
1400	D₄	—	212	8	no	—
1401	D₄	—	212	8	no	—
1402	D₄	—	212	8	no	—
1403	C₂×C₄	—	2	2	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	4	no	—
1406	C₂×C₄	—	2	8	no	—
1407	C₂×C₄	—	4	2	no	—
1408	C₂×C₄	—	4	8	no	—
1409	C₂×C₄	—	4	2	no	—
1410	C₂×C₄	—	53	4	no	—
1411	C₂×C₄	—	53	1	no	—
1412	C₂×C₄	—	53	1	no	—
1413	C₂×C₄	—	53	4	no	—
1414	C₂×C₄	—	53	4	no	—
1415	C₂×C₄	—	53	4	no	—
1416	C₂×C₄	—	53	4	no	—
1417	C₂×C₄	—	53	4	no	—
1418	C₂×C₄	—	53	2	no	—
1419	C₂×C₄	—	53	4	no	—
1420	C₂×C₄	—	53	8	no	—
1421	C₂×C₄	—	53	2	no	—
1422	C₂×C₄	—	53	2	no	—
1423	C₂×C₄	—	106	4	no	—
1424	C₂×C₄	—	106	4	no	—
1425	C₂×C₄	—	106	8	no	—
1426	C₂×C₄	—	106	4	no	—
1427	C₂×C₄	—	106	4	no	—
1428	C₂×C₄	—	106	8	no	—
1429	C₂×C₄	—	106	8	no	—
1430	C₂×C₄	—	106	4	no	—
1431	C₂×C₄	—	106	16	no	—
1432	C₂×C₄	—	106	4	no	—
1433	C₂×C₄	—	106	4	no	—
1434	C₂×C₄	—	106	4	no	—
1435	C₂×C₄	—	106	8	no	—
1436	C₂×C₄	—	106	2	no	—
1437	C₂×C₄	—	106	4	no	—
1438	C₂×C₄	—	106	4	no	—
1439	C₂×C₄	—	106	8	no	—
1440	C₂×C₄	—	212	4	no	—
1441	C₂×C₄	—	212	8	no	—
1442	C₂×C₄	—	212	2	no	—
1443	C₂×C₄	—	212	8	no	—
1444	C₂×C₄	—	212	2	no	—
1445	C₂×C₄	—	212	2	no	—
1446	C₂×C₄	—	212	8	no	—
1447	C₂×C₄	—	212	2	no	—
1448	C₂×C₄	#41×D₅₃	1	4	yes	—
1449	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1450	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1451	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1452	C₂×C₄	C₂⁴×D₅₃	1	8	yes	—
1453	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1454	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1455	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1456	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	4	no	—
1460	C₂²	—	2	8	no	—
1461	C₂²	—	2	4	no	—
1462	C₂²	—	4	4	no	—
1463	C₂²	—	53	2	no	—
1464	C₂²	—	53	4	no	—
1465	C₂²	—	53	2	no	—
1466	C₂²	—	106	8	no	—
1467	C₂²	—	106	2	no	—
1468	C₂²	—	106	2	no	—
1469	C₂²	—	106	4	no	—
1470	C₂²	—	106	8	no	—
1471	C₂²	—	106	4	no	—
1472	C₂²	—	212	4	no	—
1473	C₂²	—	212	8	no	—
1474	C₂²	—	212	16	no	—
1475	C₂²	—	212	8	no	—
1476	C₂²	C₂×#41×D₅₃	1	2	yes	—
1477	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1478	C₄	—	2	2	no	—
1479	C₄	—	2	4	no	—
1480	C₄	—	2	4	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	2	8	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	53	2	no	—
1485	C₄	—	53	2	no	—
1486	C₄	—	106	2	no	—
1487	C₄	—	106	4	no	—
1488	C₄	—	106	4	no	—
1489	C₄	—	106	2	no	—
1490	C₄	—	106	8	no	—
1491	C₄	—	106	2	no	—
1492	C₄	C₂×#41×D₅₃	1	2	yes	—
1493	C₄	C₂×#41×D₅₃	1	2	yes	—
1494	C₂	—	2	2	no	—
1495	C₂	—	4	2	no	—
1496	C₂	—	4	4	no	—
1497	C₂	—	53	4	no	—
1498	C₂	—	106	2	no	—
1499	C₂	—	212	2	no	—
1500	C₂	—	212	4	no	—
1501	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1502	C₂	#585×D₅₃	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₅₃×#3455	C₂
hypercenter	#3455	D₅₃
hypocenter	C₅₃	C₂×#3455
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #3455

Complements

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

N	H ≅ G/N	type
1. #20288107	C₂	semidirect
2. #20288106	C₂	semidirect
3. #20288105	C₂	semidirect
4. #20288104	C₂	semidirect
5. #20288103	C₂	semidirect
6. #20288102	C₂	semidirect
7. #20288101	C₂	semidirect
8. #20288100	C₂	semidirect
9. #20288099	C₂	semidirect
10. #20288098	C₂	semidirect
11. #20288097	C₂	semidirect
12. #542×D₅₃	C₂	semidirect
13. #541×D₅₃	C₂	semidirect
14. #540×D₅₃	C₂	semidirect
15. #539×D₅₃	C₂	semidirect
16. #538×D₅₃	C₂	semidirect
17. #533×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×#117×D₅₃	C₂	semidirect
23. C₅₃×#3455	C₂	semidirect
26. #16811247	C₂²	semidirect
27. #16811246	C₂²	semidirect
28. #16811245	C₂²	semidirect
29. #16811244	C₂²	semidirect
30. #16811243	C₂²	semidirect
31. #16811242	C₂²	semidirect
32. #16811241	C₂²	semidirect
33. #16811240	C₂²	semidirect
34. #16811239	C₂²	semidirect
35. #16811238	C₂²	semidirect
36. #16811237	C₂²	semidirect
37. #16811236	C₂²	semidirect
38. #16811235	C₂²	semidirect
39. #16811234	C₂²	semidirect
40. #16811233	C₂²	semidirect
41. #16811232	C₂²	semidirect
42. #16811231	C₂²	semidirect
43. #16811230	C₂²	semidirect
44. #16811229	C₂²	semidirect
45. #16811228	C₂²	semidirect
46. #16811227	C₂²	semidirect
47. #16811226	C₂²	semidirect
48. #16811225	C₂²	semidirect
49. #16811224	C₂²	semidirect
50. #16811223	C₂²	semidirect
51. #16811222	C₂²	semidirect
52. #16811221	C₂²	semidirect
53. #16811220	C₂²	semidirect
54. #16811219	C₂²	semidirect
55. #16811218	C₂²	semidirect
56. #16811217	C₂²	semidirect
57. #16811216	C₂²	semidirect
58. #16811215	C₂²	semidirect
59. #16811214	C₂²	semidirect
60. #16811213	C₂²	semidirect
61. #16811212	C₂²	semidirect
62. #16811211	C₂²	semidirect
63. #16811210	C₂²	semidirect
64. #16811209	C₂²	semidirect
65. #16811208	C₂²	semidirect
66. #16811207	C₂²	semidirect
67. #16811206	C₂²	semidirect
68. #16811205	C₂²	semidirect
69. #16811180	C₂²	semidirect
70. #16811179	C₂²	semidirect
71. #16811178	C₂²	semidirect
72. #16811177	C₂²	semidirect
73. #16811176	C₂²	semidirect
74. #16811175	C₂²	semidirect
75. #16811174	C₂²	semidirect
76. #16811173	C₂²	semidirect
77. #16811172	C₂²	semidirect
78. #16811171	C₂²	semidirect
79. #16811170	C₂²	semidirect
80. #16811169	C₂²	semidirect
81. #16811168	C₂²	semidirect
82. C₄⋊Q₈×D₅₃	C₂²	semidirect
83. C₄⋊Q₈×D₅₃	C₂²	semidirect
84. #127×D₅₃	C₂²	semidirect
85. #16811160	C₂²	semidirect
86. #16811159	C₂²	semidirect
87. #16811158	C₂²	semidirect
88. #16811157	C₂²	semidirect
89. #16811156	C₂²	semidirect
90. #16811156	C₂²	semidirect
91. #16811155	C₂²	semidirect
92. #16811154	C₂²	semidirect
93. #16811153	C₂²	semidirect
94. #16811153	C₂²	semidirect
95. #16811152	C₂²	semidirect
96. #16811151	C₂²	semidirect
97. #16811151	C₂²	semidirect
98. #16811150	C₂²	semidirect
99. #16811150	C₂²	semidirect
101. #126×D₅₃	C₂²	semidirect
102. #125×D₅₃	C₂²	semidirect
103. #125×D₅₃	C₂²	semidirect
105. #124×D₅₃	C₂²	semidirect
106. #16811136	C₂²	semidirect
107. #16811135	C₂²	semidirect
108. #16811134	C₂²	semidirect
109. #16811133	C₂²	semidirect
110. #16811132	C₂²	semidirect
111. #16811131	C₂²	semidirect
112. #16811130	C₂²	semidirect
113. #16811129	C₂²	semidirect
116. #123×D₅₃	C₂²	semidirect
119. C₂²⋊Q₈×D₅₃	C₂²	semidirect
124. #41×Dic₅₃	C₂²	semidirect
125. C₄×#11719949	C₂²	semidirect
126. C₄×#11719945	C₂²	semidirect
127. C₄×#11719945	C₂²	semidirect
128. #16811091	C₂²	semidirect
129. #16811091	C₂²	semidirect
130. C₄×#11719947	C₂²	semidirect
131. C₄×#11719947	C₂²	semidirect
132. C₄×Q₈×D₅₃	C₂²	semidirect
133. C₄×Q₈×D₅₃	C₂²	semidirect
136. C₄×D₄×D₅₃	C₂²	semidirect
137. C₄×D₄×D₅₃	C₂²	semidirect
138. C₂×#13133176	C₂²	semidirect
139. C₂×#13133175	C₂²	semidirect
140. C₂×#13133174	C₂²	semidirect
141. C₂×#13133174	C₂²	semidirect
142. C₂×#13133173	C₂²	semidirect
147. #117×D₅₃	C₂²	semidirect
148. #117×D₅₃	C₂²	semidirect
149. #117×D₅₃	C₂²	semidirect
150. #117×D₅₃	C₂²	semidirect
155. C₂×C₄²×D₅₃	C₂²	semidirect
156. C₅₃×#542	C₂²	semidirect
157. C₅₃×#541	C₂²	semidirect
158. C₅₃×#540	C₂²	semidirect
159. C₅₃×#539	C₂²	semidirect
160. C₅₃×#538	C₂²	semidirect
161. C₅₃×#533	C₂²	semidirect
162. C₅₃×#532	C₂²	semidirect
163. C₅₃×#529	C₂²	semidirect
164. C₅₃×#525	C₂²	semidirect
165. C₄×#41×C₅₃	C₂²	semidirect
166. C₂×#117×C₅₃	C₂²	semidirect
194. #13133217	C₂³	semidirect
195. #13133217	C₂³	semidirect
196. #13133216	C₂³	semidirect
197. #13133216	C₂³	semidirect
198. #13133216	C₂³	semidirect
199. #13133215	C₂³	semidirect
200. #13133215	C₂³	semidirect
201. #13133214	C₂³	semidirect
202. #13133213	C₂³	semidirect
203. #13133213	C₂³	semidirect
207. #13133212	C₂³	semidirect
208. #13133212	C₂³	semidirect
209. #13133212	C₂³	semidirect
211. #13133211	C₂³	semidirect
215. #13133210	C₂³	semidirect
216. #13133210	C₂³	semidirect
217. #13133210	C₂³	semidirect
218. #13133209	C₂³	semidirect
219. #13133209	C₂³	semidirect
220. #13133208	C₂³	semidirect
221. #13133208	C₂³	semidirect
222. #13133208	C₂³	semidirect
223. #13133207	C₂³	semidirect
224. #13133207	C₂³	semidirect
225. #13133207	C₂³	semidirect
226. #13133207	C₂³	semidirect
227. #13133207	C₂³	semidirect
229. #13133206	C₂³	semidirect
231. #13133205	C₂³	semidirect
233. #13133204	C₂³	semidirect
238. #13133203	C₂³	semidirect
242. #13133202	C₂³	semidirect
243. #13133202	C₂³	semidirect
246. #13133201	C₂³	semidirect
249. #13133200	C₂³	semidirect
253. #13133199	C₂³	semidirect
254. #13133199	C₂³	semidirect
257. #13133198	C₂³	semidirect
260. #13133197	C₂³	semidirect
263. #13133196	C₂³	semidirect
266. #13133195	C₂³	semidirect
267. #13133195	C₂³	semidirect
270. #13133194	C₂³	semidirect
271. #13133194	C₂³	semidirect
274. #13133193	C₂³	semidirect
297. Q₈×Dic₅₃	C₂³	semidirect
298. Q₈×Dic₅₃	C₂³	semidirect
299. C₄×Dic₁₀₆	C₂³	semidirect
300. C₄×Dic₁₀₆	C₂³	semidirect
301. C₄×Dic₁₀₆	C₂³	semidirect
302. C₄×Dic₁₀₆	C₂³	semidirect
303. #13133182	C₂³	semidirect
304. #13133182	C₂³	semidirect
305. #13133182	C₂³	semidirect
306. #13133182	C₂³	semidirect
309. C₄×D₂₁₂	C₂³	semidirect
310. C₄×D₂₁₂	C₂³	semidirect
313. D₄×Dic₅₃	C₂³	semidirect
314. D₄×Dic₅₃	C₂³	semidirect
317. #13133179	C₂³	semidirect
318. #13133179	C₂³	semidirect
323. C₄×C₂²⋊D₅₃	C₂³	semidirect
324. C₄×C₂²⋊D₅₃	C₂³	semidirect
329. #13133177	C₂³	semidirect
330. #13133177	C₂³	semidirect
335. #13133176	C₂³	semidirect
341. #13133175	C₂³	semidirect
349. #13133174	C₂³	semidirect
350. #13133174	C₂³	semidirect
356. #13133173	C₂³	semidirect
386. C₂×C₄×Dic₅₃	C₂³	semidirect
387. C₂×C₄×Dic₅₃	C₂³	semidirect
400. C₄²×D₅₃	C₂³	semidirect
401. C₄²×D₅₃	C₂³	semidirect
402. C₄²×D₅₃	C₂³	semidirect
405. C₄⋊Q₈×C₅₃	C₂³	semidirect
406. C₄⋊Q₈×C₅₃	C₂³	semidirect
407. #127×C₅₃	C₂³	semidirect
409. #126×C₅₃	C₂³	semidirect
410. #125×C₅₃	C₂³	semidirect
411. #125×C₅₃	C₂³	semidirect
413. #124×C₅₃	C₂³	semidirect
416. #123×C₅₃	C₂³	semidirect
419. C₂²⋊Q₈×C₅₃	C₂³	semidirect
424. C₄×Q₈×C₅₃	C₂³	semidirect
425. C₄×Q₈×C₅₃	C₂³	semidirect
428. C₄×D₄×C₅₃	C₂³	semidirect
429. C₄×D₄×C₅₃	C₂³	semidirect
434. #117×C₅₃	C₂³	semidirect
439. C₂×C₄²×C₅₃	C₂³	semidirect
754. #3455	D₅₃	direct (N × H)
774. D₅₃	#3455	direct (N × H)
788. #542	C₂×D₅₃	semidirect
796. #541	C₂×D₅₃	semidirect
804. #540	C₂×D₅₃	semidirect
814. #539	C₂×D₅₃	semidirect
824. #538	C₂×D₅₃	semidirect
831. #533	C₂×D₅₃	semidirect
839. #532	C₂×D₅₃	semidirect
858. #529	C₂×D₅₃	semidirect
873. #525	C₂×D₅₃	semidirect
892. C₄×#41	C₂×D₅₃	semidirect
912. C₂×#117	C₂×D₅₃	semidirect
918. C₅₃	C₂×#3455	semidirect
955. C₄⋊Q₈	C₂²×D₅₃	semidirect
956. C₄⋊Q₈	C₂²×D₅₃	semidirect
960. #127	C₂²×D₅₃	semidirect
976. #126	C₂²×D₅₃	semidirect
987. #125	C₂²×D₅₃	semidirect
988. #125	C₂²×D₅₃	semidirect
1001. #124	C₂²×D₅₃	semidirect
1023. #123	C₂²×D₅₃	semidirect
1043. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1080. C₄×Q₈	C₂²×D₅₃	semidirect
1081. C₄×Q₈	C₂²×D₅₃	semidirect
1108. C₄×D₄	C₂²×D₅₃	semidirect
1109. C₄×D₄	C₂²×D₅₃	semidirect
1140. #117	C₂²×D₅₃	semidirect
1191. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288107	2
#20288106	2
#20288105	2
#20288104	2
#20288103	2
#20288102	2
#20288101	2
#20288100	2
#20288099	2
#20288098	2
#20288097	2
#542×D₅₃	2
#541×D₅₃	2
#540×D₅₃	2
#539×D₅₃	2
#538×D₅₃	2
#533×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₄×#41×D₅₃	2
C₂×#117×D₅₃	2
C₅₃×#3455	2
C₂×#3455	53

Subgroups — D53×#3455 #28290937

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3455 #28290937