Subgroups — C₂×#20289338 #28291487

Order 13568.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289338	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811377	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811374	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811345	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811344	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811328	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811313	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811308	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811252	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811248	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811246	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811243	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811234	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811231	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811220	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811219	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811215	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811206	C₂	1	1	yes	maximal, characteristic
29	C₂×#16811175	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811153	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#13133212	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
33	#16811377	C₂²	1	16	yes	complemented
34	#16811374	C₂²	1	16	yes	complemented
35	#16811374	C₂²	1	16	yes	complemented
36	#16811372	C₂²	1	16	yes	complemented
37	#16811345	C₂²	1	16	yes	complemented
38	#16811344	C₂²	1	16	yes	complemented
39	#16811328	C₂²	1	16	yes	complemented
40	#16811315	C₂²	1	16	yes	complemented
41	#16811313	C₂²	1	16	yes	complemented
42	#16811308	C₂²	1	16	yes	complemented
43	#16811305	C₂²	1	16	yes	complemented
44	#16811302	C₂²	1	16	yes	complemented
45	#16811302	C₂²	1	16	yes	complemented
46	#16811300	C₂²	1	16	yes	complemented
47	#16811300	C₂²	1	16	yes	complemented
48	#16811252	C₂²	1	16	yes	complemented
49	#16811248	C₂²	1	16	yes	complemented
50	#16811246	C₂²	1	16	yes	complemented
51	#16811243	C₂²	1	16	yes	complemented
52	#16811234	C₂²	1	16	yes	complemented
53	#16811232	C₂²	1	16	yes	complemented
54	#16811232	C₂²	1	16	yes	complemented
55	#16811231	C₂²	1	16	yes	complemented
56	#16811220	C₂²	1	16	yes	complemented
57	#16811219	C₂²	1	16	yes	complemented
58	#16811215	C₂²	1	16	yes	complemented
59	#16811206	C₂²	1	16	yes	—
60	#16811175	C₂²	1	16	yes	complemented
61	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
68	#16811153	C₂²	1	16	yes	complemented
69	C₂×#13133212	C₂²	1	1	yes	characteristic
70	C₂×#13133212	C₂²	1	1	yes	characteristic
71	C₂×#13133212	C₂²	1	1	yes	characteristic
72	C₂×#13133212	C₂²	1	1	yes	characteristic
73	C₂×#13133212	C₂²	1	1	yes	characteristic
74	C₂×#13133212	C₂²	1	1	yes	characteristic
75	C₂×#13133212	C₂²	1	1	yes	characteristic
76	C₂×#13133212	C₂²	1	1	yes	characteristic
77	C₂×#13133212	C₂²	1	1	yes	characteristic
78	C₂×#13133212	C₂²	1	1	yes	characteristic
79	C₂×#13133212	C₂²	1	1	yes	characteristic
80	C₂×#13133212	C₂²	1	1	yes	characteristic
81	C₂×#13133212	C₂²	1	1	yes	characteristic
82	C₂×#13133212	C₂²	1	1	yes	characteristic
83	C₂×#13133212	C₂²	1	1	yes	characteristic
84	C₂×#13133212	C₂²	1	16	yes	complemented
85	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133211	C₂²	1	1	yes	characteristic
89	C₂×#13133211	C₂²	1	1	yes	characteristic
90	C₂×#13133211	C₂²	1	1	yes	characteristic
91	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133206	C₂²	1	1	yes	characteristic
114	C₂×#13133206	C₂²	1	1	yes	characteristic
115	C₂×#13133205	C₂²	1	1	yes	characteristic
116	C₂×#13133203	C₂²	1	1	yes	characteristic
117	C₂×#13133203	C₂²	1	1	yes	characteristic
118	C₂×#13133203	C₂²	1	1	yes	characteristic
119	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133202	C₂²	1	1	yes	characteristic
121	C₂×#13133202	C₂²	1	1	yes	characteristic
122	C₂×#13133202	C₂²	1	1	yes	characteristic
123	C₂×#13133202	C₂²	1	1	yes	characteristic
124	C₂×#13133202	C₂²	1	1	yes	characteristic
125	C₂×#13133201	C₂²	1	1	yes	characteristic
126	C₂×#13133201	C₂²	1	1	yes	characteristic
127	C₂×#13133200	C₂²	1	1	yes	characteristic
128	C₂×#13133200	C₂²	1	1	yes	characteristic
129	C₂×#13133200	C₂²	1	1	yes	characteristic
130	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133199	C₂²	1	1	yes	characteristic
132	C₂×#13133199	C₂²	1	1	yes	characteristic
133	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133198	C₂²	1	1	yes	characteristic
135	C₂×#13133198	C₂²	1	1	yes	characteristic
136	C₂×#13133197	C₂²	1	1	yes	characteristic
137	C₂×#13133197	C₂²	1	1	yes	characteristic
138	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
139	C₂×#13133196	C₂²	1	1	yes	characteristic
140	C₂×#13133196	C₂²	1	1	yes	characteristic
141	C₂×#13133196	C₂²	1	1	yes	characteristic
142	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133195	C₂²	1	1	yes	characteristic
145	C₂×#13133195	C₂²	1	1	yes	characteristic
146	C₂×#13133195	C₂²	1	1	yes	characteristic
147	C₂×#13133195	C₂²	1	1	yes	characteristic
148	C₂×#13133195	C₂²	1	1	yes	characteristic
149	C₂×#13133195	C₂²	1	1	yes	characteristic
150	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
151	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
152	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
153	C₂×#13133194	C₂²	1	1	yes	characteristic
154	C₂×#13133194	C₂²	1	1	yes	characteristic
155	C₂×#13133194	C₂²	1	1	yes	characteristic
156	C₂×#13133193	C₂²	1	1	yes	characteristic
157	C₂×#13133193	C₂²	1	1	yes	characteristic
158	C₂×#13133193	C₂²	1	1	yes	characteristic
159	C₂×#13133193	C₂²	1	1	yes	characteristic
160	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
161	C₂×#13133191	C₂²	1	1	yes	characteristic
162	C₂×#13133190	C₂²	1	1	yes	characteristic
163	C₂×#13133189	C₂²	1	1	yes	characteristic
164	C₂×#13133187	C₂²	1	1	yes	characteristic
165	C₂×#13133185	C₂²	1	1	yes	characteristic
166	C₂×Q₈×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂×Q₈×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133179	C₂²	1	1	yes	characteristic
175	C₂×#13133179	C₂²	1	1	yes	characteristic
176	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
177	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
178	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
179	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
180	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
181	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133175	C₂²	1	1	yes	characteristic
185	C₂×#13133175	C₂²	1	1	yes	characteristic
186	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133174	C₂²	1	1	yes	characteristic
188	C₂×#13133174	C₂²	1	1	yes	characteristic
189	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133173	C₂²	1	1	yes	characteristic
191	C₂×#13133173	C₂²	1	1	yes	characteristic
192	C₂×#13133173	C₂²	1	1	yes	characteristic
193	C₂×#13133173	C₂²	1	1	yes	characteristic
194	C₂²×C₄⋊Dic₅₃	C₂²	1	1	yes	characteristic
195	C₂²×#11719919	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719921	C₂²	1	1	yes	characteristic
198	C₂²×#11719921	C₂²	1	1	yes	characteristic
199	C₂²×#11719921	C₂²	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₂²×C₄×Dic₅₃	C₂²	1	1	yes	characteristic
203	C₅₃×#554	C₂²	1	16	yes	complemented
204	C₂×C₄⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
208	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
209	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
215	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
217	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
218	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
221	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
226	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
227	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
229	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
232	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
233	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
234	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
241	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
242	#13133216	C₂³	1	8	yes	complemented
243	#13133216	C₂³	1	8	yes	complemented
244	#13133216	C₂³	1	8	yes	complemented
245	#13133216	C₂³	1	8	yes	complemented
246	#13133215	C₂³	1	8	yes	complemented
247	#13133215	C₂³	1	8	yes	complemented
248	#13133215	C₂³	1	8	yes	complemented
249	#13133212	C₂³	1	8	yes	—
250	#13133212	C₂³	1	8	yes	—
251	#13133212	C₂³	1	8	yes	—
252	#13133212	C₂³	1	8	yes	—
253	#13133212	C₂³	1	8	yes	—
254	#13133212	C₂³	1	8	yes	—
255	#13133212	C₂³	1	8	yes	—
256	#13133212	C₂³	1	8	yes	—
257	#13133212	C₂³	1	8	yes	—
258	#13133212	C₂³	1	8	yes	—
259	#13133212	C₂³	1	8	yes	—
260	#13133212	C₂³	1	8	yes	—
261	#13133212	C₂³	1	8	yes	—
262	#13133212	C₂³	1	8	yes	—
263	#13133212	C₂³	1	8	yes	—
264	#13133212	C₂³	1	8	yes	complemented
265	#13133212	C₂³	1	8	yes	complemented
266	#13133212	C₂³	1	8	yes	complemented
267	#13133211	C₂³	1	8	yes	—
268	#13133211	C₂³	1	8	yes	—
269	#13133211	C₂³	1	8	yes	—
270	#13133211	C₂³	1	8	yes	complemented
271	#13133210	C₂³	1	8	yes	complemented
272	#13133210	C₂³	1	8	yes	complemented
273	#13133210	C₂³	1	8	yes	complemented
274	#13133210	C₂³	1	8	yes	complemented
275	#13133209	C₂³	1	8	yes	complemented
276	#13133209	C₂³	1	8	yes	complemented
277	#13133208	C₂³	1	8	yes	complemented
278	#13133208	C₂³	1	8	yes	complemented
279	#13133208	C₂³	1	8	yes	complemented
280	#13133207	C₂³	1	8	yes	complemented
281	#13133207	C₂³	1	8	yes	complemented
282	#13133207	C₂³	1	8	yes	complemented
283	#13133207	C₂³	1	8	yes	complemented
284	#13133207	C₂³	1	8	yes	complemented
285	#13133207	C₂³	1	8	yes	complemented
286	#13133207	C₂³	1	8	yes	complemented
287	#13133207	C₂³	1	8	yes	complemented
288	#13133207	C₂³	1	8	yes	complemented
289	#13133207	C₂³	1	8	yes	complemented
290	#13133207	C₂³	1	8	yes	complemented
291	#13133207	C₂³	1	8	yes	complemented
292	#13133206	C₂³	1	8	yes	—
293	#13133206	C₂³	1	8	yes	—
294	#13133205	C₂³	1	8	yes	—
295	#13133203	C₂³	1	8	yes	—
296	#13133203	C₂³	1	8	yes	—
297	#13133203	C₂³	1	8	yes	—
298	#13133203	C₂³	1	8	yes	complemented
299	#13133202	C₂³	1	8	yes	—
300	#13133202	C₂³	1	8	yes	—
301	#13133202	C₂³	1	8	yes	—
302	#13133202	C₂³	1	8	yes	—
303	#13133202	C₂³	1	8	yes	—
304	#13133201	C₂³	1	8	yes	—
305	#13133201	C₂³	1	8	yes	—
306	#13133200	C₂³	1	8	yes	—
307	#13133200	C₂³	1	8	yes	—
308	#13133200	C₂³	1	8	yes	—
309	#13133200	C₂³	1	8	yes	complemented
310	#13133199	C₂³	1	8	yes	—
311	#13133199	C₂³	1	8	yes	—
312	#13133199	C₂³	1	8	yes	complemented
313	#13133198	C₂³	1	8	yes	—
314	#13133198	C₂³	1	8	yes	—
315	#13133197	C₂³	1	8	yes	—
316	#13133197	C₂³	1	8	yes	—
317	#13133197	C₂³	1	8	yes	complemented
318	#13133196	C₂³	1	8	yes	—
319	#13133196	C₂³	1	8	yes	—
320	#13133196	C₂³	1	8	yes	—
321	#13133196	C₂³	1	8	yes	complemented
322	#13133196	C₂³	1	8	yes	complemented
323	#13133195	C₂³	1	8	yes	—
324	#13133195	C₂³	1	8	yes	—
325	#13133195	C₂³	1	8	yes	—
326	#13133195	C₂³	1	8	yes	—
327	#13133195	C₂³	1	8	yes	—
328	#13133195	C₂³	1	8	yes	—
329	#13133195	C₂³	1	8	yes	complemented
330	#13133195	C₂³	1	8	yes	complemented
331	#13133195	C₂³	1	8	yes	complemented
332	#13133194	C₂³	1	8	yes	—
333	#13133194	C₂³	1	8	yes	—
334	#13133194	C₂³	1	8	yes	—
335	#13133193	C₂³	1	8	yes	—
336	#13133193	C₂³	1	8	yes	—
337	#13133193	C₂³	1	8	yes	—
338	#13133193	C₂³	1	8	yes	—
339	#13133193	C₂³	1	8	yes	complemented
340	#13133191	C₂³	1	8	yes	—
341	#13133190	C₂³	1	8	yes	—
342	#13133189	C₂³	1	8	yes	—
343	#13133187	C₂³	1	8	yes	—
344	#13133185	C₂³	1	8	yes	—
345	Q₈×Dic₅₃	C₂³	1	8	yes	complemented
346	Q₈×Dic₅₃	C₂³	1	8	yes	complemented
347	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
348	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
349	#13133182	C₂³	1	8	yes	complemented
350	#13133182	C₂³	1	8	yes	complemented
351	#13133182	C₂³	1	8	yes	complemented
352	#13133182	C₂³	1	8	yes	complemented
353	#13133179	C₂³	1	8	yes	—
354	#13133179	C₂³	1	8	yes	—
355	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
356	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
357	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
358	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
359	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
360	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
361	#13133176	C₂³	1	8	yes	complemented
362	#13133176	C₂³	1	8	yes	complemented
363	#13133175	C₂³	1	8	yes	—
364	#13133175	C₂³	1	8	yes	—
365	#13133175	C₂³	1	8	yes	complemented
366	#13133174	C₂³	1	8	yes	—
367	#13133174	C₂³	1	8	yes	—
368	#13133174	C₂³	1	8	yes	complemented
369	#13133173	C₂³	1	8	yes	—
370	#13133173	C₂³	1	8	yes	—
371	#13133173	C₂³	1	8	yes	—
372	#13133173	C₂³	1	8	yes	—
373	C₂×C₄⋊Dic₅₃	C₂³	1	8	yes	—
374	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
375	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
376	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
377	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
381	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
388	C₂×#11719919	C₂³	1	1	yes	characteristic
389	C₂×#11719919	C₂³	1	1	yes	characteristic
390	C₂×#11719919	C₂³	1	1	yes	characteristic
391	C₂×#11719919	C₂³	1	1	yes	characteristic
392	C₂×#11719919	C₂³	1	1	yes	characteristic
393	C₂×#11719919	C₂³	1	1	yes	characteristic
394	C₂×#11719919	C₂³	1	8	yes	—
395	C₂×#11719919	C₂³	1	1	yes	characteristic
396	C₂×#11719919	C₂³	1	1	yes	characteristic
397	C₂×#11719919	C₂³	1	1	yes	characteristic
398	C₂×#11719919	C₂³	1	1	yes	characteristic
399	C₂×#11719919	C₂³	1	1	yes	characteristic
400	C₂×#11719919	C₂³	1	1	yes	characteristic
401	C₂×#11719919	C₂³	1	1	yes	characteristic
402	C₂×#11719919	C₂³	1	1	yes	characteristic
403	C₂×#11719919	C₂³	1	1	yes	characteristic
404	C₂×#11719919	C₂³	1	1	yes	characteristic
405	C₂×#11719919	C₂³	1	1	yes	characteristic
406	C₂×#11719919	C₂³	1	1	yes	characteristic
407	C₂×#11719919	C₂³	1	1	yes	characteristic
408	C₂×#11719919	C₂³	1	1	yes	characteristic
409	C₂×#11719919	C₂³	1	1	yes	characteristic
410	C₂×#11719919	C₂³	1	1	yes	characteristic
411	C₂×#11719919	C₂³	1	1	yes	characteristic
412	C₂×#11719919	C₂³	1	1	yes	characteristic
413	C₂×#11719919	C₂³	1	1	yes	characteristic
414	C₂×#11719919	C₂³	1	1	yes	characteristic
415	C₂×#11719919	C₂³	1	1	yes	characteristic
416	C₂×#11719919	C₂³	1	1	yes	characteristic
417	C₂×#11719919	C₂³	1	1	yes	characteristic
418	C₂×#11719919	C₂³	1	1	yes	characteristic
419	C₂×#11719919	C₂³	1	1	yes	characteristic
420	C₂×#11719919	C₂³	1	1	yes	characteristic
421	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
422	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
423	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
425	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
426	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
430	C₂×#11719921	C₂³	1	8	yes	—
431	C₂×#11719921	C₂³	1	8	yes	—
432	C₂×#11719921	C₂³	1	1	yes	characteristic
433	C₂×#11719921	C₂³	1	1	yes	characteristic
434	C₂×#11719921	C₂³	1	1	yes	characteristic
435	C₂×#11719921	C₂³	1	1	yes	characteristic
436	C₂×#11719921	C₂³	1	1	yes	characteristic
437	C₂×#11719921	C₂³	1	1	yes	characteristic
438	C₂×#11719921	C₂³	1	1	yes	characteristic
439	C₂×#11719921	C₂³	1	1	yes	characteristic
440	C₂×#11719921	C₂³	1	1	yes	characteristic
441	C₂×#11719921	C₂³	1	1	yes	characteristic
442	C₂×#11719921	C₂³	1	1	yes	characteristic
443	C₂×#11719921	C₂³	1	1	yes	characteristic
444	C₂×#11719921	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	1	yes	characteristic
446	C₂×#11719921	C₂³	1	1	yes	characteristic
447	C₂×#11719921	C₂³	1	1	yes	characteristic
448	C₂×#11719921	C₂³	1	8	yes	—
449	C₂×#11719921	C₂³	1	1	yes	characteristic
450	C₂×#11719921	C₂³	1	1	yes	characteristic
451	C₂×#11719921	C₂³	1	1	yes	characteristic
452	C₂×#11719921	C₂³	1	1	yes	characteristic
453	C₂×#11719921	C₂³	1	1	yes	characteristic
454	C₂×#11719921	C₂³	1	1	yes	characteristic
455	C₂×#11719921	C₂³	1	1	yes	characteristic
456	C₂×#11719921	C₂³	1	1	yes	characteristic
457	C₂×#11719921	C₂³	1	1	yes	characteristic
458	C₂×#11719921	C₂³	1	1	yes	characteristic
459	C₂×#11719921	C₂³	1	1	yes	characteristic
460	C₂×#11719921	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
462	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
463	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₅₃	C₂³	1	8	yes	—
468	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
469	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
479	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
480	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
481	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
482	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
483	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
484	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
485	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
486	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
487	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
488	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
489	C₄⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
490	#125×C₅₃	C₂³	1	8	yes	complemented
491	#125×C₅₃	C₂³	1	8	yes	complemented
492	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	—
493	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	—
494	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	—
495	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
496	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
497	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
498	C₄×Q₈×C₅₃	C₂³	1	8	yes	complemented
499	C₄×D₄×C₅₃	C₂³	1	8	yes	—
500	C₄×D₄×C₅₃	C₂³	1	8	yes	—
501	C₄×D₄×C₅₃	C₂³	1	8	yes	—
502	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
504	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
505	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₅₃	C₂³	1	8	yes	—
507	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
508	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
512	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
515	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
516	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
518	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
519	C₂×C₄⋊C₄×C₅₃	C₂³	1	8	yes	complemented
520	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
529	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
530	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
531	C₂³×D₅₃	—	2	4	no	—
532	C₂³×D₅₃	—	4	2	no	—
533	C₂³×D₅₃	—	4	2	no	—
534	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
535	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
536	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
537	C₂³×D₅₃	C₂⁴	1	4	yes	—
538	C₂×Q₈×C₅₃	—	4	2	no	—
539	C₂×Q₈×C₅₃	—	4	2	no	—
540	C₂×Q₈×C₅₃	—	4	2	no	—
541	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
542	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
543	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
544	C₂×D₄×C₅₃	—	2	4	no	—
545	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
546	C₂²×C₄×C₅₃	—	4	2	no	—
547	C₂²×C₄×C₅₃	—	4	2	no	—
548	C₂²×C₄×C₅₃	—	4	2	no	—
549	C₂²×C₄×C₅₃	—	4	2	no	—
550	C₂²×C₄×C₅₃	—	4	2	no	—
551	C₂²×C₄×C₅₃	—	4	2	no	—
552	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
566	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
567	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
568	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
569	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₅₃	—	2	4	no	—
572	C₂×C₂²⋊D₅₃	—	4	2	no	—
573	C₂×C₂²⋊D₅₃	—	4	2	no	—
574	C₂×C₂²⋊D₅₃	—	4	2	no	—
575	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
577	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
578	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
579	C₂²×Dic₅₃	—	2	4	no	—
580	C₂²×Dic₅₃	—	2	4	no	—
581	C₂²×Dic₅₃	—	4	2	no	—
582	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
593	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
597	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
598	C₂×D₂₁₂	—	4	2	no	—
599	C₂×D₂₁₂	—	4	2	no	—
600	C₂×D₂₁₂	C₂⁴	1	4	yes	—
601	C₂×D₂₁₂	C₂⁴	1	4	yes	—
602	C₂×C₄×D₅₃	—	4	2	no	—
603	C₂×C₄×D₅₃	—	4	2	no	—
604	C₂×C₄×D₅₃	—	4	2	no	—
605	C₂×C₄×D₅₃	—	4	2	no	—
606	C₂×C₄×D₅₃	—	4	2	no	—
607	C₂×C₄×D₅₃	—	4	2	no	—
608	C₂×C₄×D₅₃	—	4	2	no	—
609	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
610	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
611	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
612	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
613	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
614	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
615	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
616	C₂×Dic₁₀₆	—	4	2	no	—
617	C₂×Dic₁₀₆	—	4	2	no	—
618	C₂×Dic₁₀₆	—	4	2	no	—
619	C₂×Dic₁₀₆	—	4	2	no	—
620	C₂×Dic₁₀₆	—	4	2	no	—
621	C₂×Dic₁₀₆	—	4	2	no	—
622	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
623	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
624	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
625	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
626	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
627	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
628	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
629	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
630	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
631	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
632	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
633	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
634	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
635	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
636	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
637	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
638	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
639	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
640	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
641	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
644	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
645	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
646	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
647	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
648	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
649	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
650	C₄²×C₅₃	C₂⁴	1	4	yes	—
651	C₄²×C₅₃	C₂⁴	1	4	yes	—
652	C₄²×C₅₃	C₂⁴	1	4	yes	—
653	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
654	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
655	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
656	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
657	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
658	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
659	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
660	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
661	#11719921	C₂⁴	1	4	yes	—
662	#11719921	C₂⁴	1	4	yes	—
663	#11719921	C₂⁴	1	4	yes	—
664	#11719921	C₂⁴	1	4	yes	—
665	#11719921	C₂⁴	1	4	yes	—
666	#11719921	C₂⁴	1	4	yes	—
667	#11719921	C₂⁴	1	4	yes	—
668	#11719921	C₂⁴	1	4	yes	—
669	#11719921	C₂⁴	1	4	yes	—
670	#11719921	C₂⁴	1	4	yes	—
671	#11719921	C₂⁴	1	4	yes	—
672	#11719921	C₂⁴	1	4	yes	—
673	#11719921	C₂⁴	1	4	yes	—
674	#11719921	C₂⁴	1	4	yes	—
675	#11719921	C₂⁴	1	4	yes	—
676	#11719921	C₂⁴	1	4	yes	—
677	#11719921	C₂⁴	1	4	yes	—
678	#11719921	C₂⁴	1	4	yes	—
679	#11719921	C₂⁴	1	4	yes	—
680	#11719921	C₂⁴	1	4	yes	—
681	#11719921	C₂⁴	1	4	yes	—
682	#11719921	C₂⁴	1	4	yes	—
683	#11719921	C₂⁴	1	4	yes	—
684	#11719921	C₂⁴	1	4	yes	—
685	#11719921	C₂⁴	1	4	yes	—
686	#11719921	C₂⁴	1	4	yes	—
687	#11719921	C₂⁴	1	4	yes	—
688	#11719921	C₂⁴	1	4	yes	—
689	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
690	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
691	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
692	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
693	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
694	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
695	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
696	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
697	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
698	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
699	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
700	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
701	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
702	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
703	#11719919	C₂⁴	1	4	yes	—
704	#11719919	C₂⁴	1	4	yes	—
705	#11719919	C₂⁴	1	4	yes	—
706	#11719919	C₂⁴	1	4	yes	—
707	#11719919	C₂⁴	1	4	yes	—
708	#11719919	C₂⁴	1	4	yes	—
709	#11719919	C₂⁴	1	4	yes	—
710	#11719919	C₂⁴	1	4	yes	—
711	#11719919	C₂⁴	1	4	yes	—
712	#11719919	C₂⁴	1	4	yes	—
713	#11719919	C₂⁴	1	4	yes	—
714	#11719919	C₂⁴	1	4	yes	—
715	#11719919	C₂⁴	1	4	yes	—
716	#11719919	C₂⁴	1	4	yes	—
717	#11719919	C₂⁴	1	4	yes	—
718	#11719919	C₂⁴	1	4	yes	—
719	#11719919	C₂⁴	1	4	yes	—
720	#11719919	C₂⁴	1	4	yes	—
721	#11719919	C₂⁴	1	4	yes	—
722	#11719919	C₂⁴	1	4	yes	—
723	#11719919	C₂⁴	1	4	yes	—
724	#11719919	C₂⁴	1	4	yes	—
725	#11719919	C₂⁴	1	4	yes	—
726	#11719919	C₂⁴	1	4	yes	—
727	#11719919	C₂⁴	1	4	yes	—
728	#11719919	C₂⁴	1	4	yes	—
729	#11719919	C₂⁴	1	4	yes	—
730	#11719919	C₂⁴	1	4	yes	—
731	#11719919	C₂⁴	1	4	yes	—
732	#11719919	C₂⁴	1	4	yes	—
733	#11719919	C₂⁴	1	4	yes	—
734	#11719919	C₂⁴	1	4	yes	—
735	C₄×Dic₅₃	C₂⁴	1	4	yes	—
736	C₄×Dic₅₃	C₂⁴	1	4	yes	—
737	C₄×Dic₅₃	C₂⁴	1	4	yes	—
738	C₄×Dic₅₃	C₂⁴	1	4	yes	—
739	C₄×Dic₅₃	C₂⁴	1	4	yes	—
740	C₄×Dic₅₃	C₂⁴	1	4	yes	—
741	C₄×Dic₅₃	C₂⁴	1	4	yes	—
742	C₄×Dic₅₃	C₂⁴	1	4	yes	—
743	C₄×Dic₅₃	C₂⁴	1	4	yes	—
744	C₄×Dic₅₃	C₂⁴	1	4	yes	—
745	C₄×Dic₅₃	C₂⁴	1	4	yes	—
746	C₄×Dic₅₃	C₂⁴	1	4	yes	—
747	C₄×Dic₅₃	C₂⁴	1	4	yes	—
748	C₄×Dic₅₃	C₂⁴	1	4	yes	—
749	C₄×Dic₅₃	C₂⁴	1	4	yes	—
750	C₂³×C₅₃	—	2	2	no	—
751	C₂³×C₅₃	—	2	2	no	—
752	C₂³×C₅₃	—	2	2	no	—
753	C₂³×C₅₃	—	2	2	no	—
754	C₂³×C₅₃	—	2	2	no	—
755	C₂³×C₅₃	2₋¹⁺⁴	1	4	yes	—
756	C₂³×C₅₃	C₂⁵	1	2	yes	—
757	C₂³×C₅₃	C₂⁵	1	2	yes	—
758	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
759	C₂²×D₅₃	—	2	2	no	—
760	C₂²×D₅₃	—	2	2	no	—
761	C₂²×D₅₃	—	2	2	no	—
762	C₂²×D₅₃	—	2	2	no	—
763	C₂²×D₅₃	—	2	2	no	—
764	C₂²×D₅₃	—	2	2	no	—
765	C₂²×D₅₃	—	2	2	no	—
766	C₂²×D₅₃	—	2	2	no	—
767	C₂²×D₅₃	—	2	2	no	—
768	C₂²×D₅₃	—	2	8	no	—
769	C₂²×D₅₃	—	4	4	no	—
770	C₂²×D₅₃	—	4	4	no	—
771	C₂²×D₅₃	—	8	8	no	—
772	C₂²×D₅₃	C₂⁵	1	2	yes	—
773	C₂²×D₅₃	C₂⁵	1	2	yes	—
774	C₂²×D₅₃	C₂⁵	1	2	yes	—
775	Q₈×C₅₃	—	4	4	no	—
776	Q₈×C₅₃	—	4	4	no	—
777	Q₈×C₅₃	—	4	4	no	—
778	D₄×C₅₃	—	2	8	no	—
779	C₂×C₄×C₅₃	—	2	2	no	—
780	C₂×C₄×C₅₃	—	2	2	no	—
781	C₂×C₄×C₅₃	—	2	2	no	—
782	C₂×C₄×C₅₃	—	2	2	no	—
783	C₂×C₄×C₅₃	—	2	2	no	—
784	C₂×C₄×C₅₃	—	2	2	no	—
785	C₂×C₄×C₅₃	—	2	2	no	—
786	C₂×C₄×C₅₃	—	2	2	no	—
787	C₂×C₄×C₅₃	—	2	2	no	—
788	C₂×C₄×C₅₃	—	2	2	no	—
789	C₂×C₄×C₅₃	—	2	2	no	—
790	C₂×C₄×C₅₃	—	2	2	no	—
791	C₂×C₄×C₅₃	—	2	2	no	—
792	C₂×C₄×C₅₃	—	4	4	no	—
793	C₂×C₄×C₅₃	—	4	4	no	—
794	C₂×C₄×C₅₃	—	4	4	no	—
795	C₂×C₄×C₅₃	—	4	4	no	—
796	C₂×C₄×C₅₃	—	4	4	no	—
797	C₂×C₄×C₅₃	—	4	4	no	—
798	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
799	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
800	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
801	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
802	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
803	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
804	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
805	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
806	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
807	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
808	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
809	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
810	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
811	C₂²⋊D₅₃	—	2	8	no	—
812	C₂²⋊D₅₃	—	4	4	no	—
813	C₂²⋊D₅₃	—	4	4	no	—
814	C₂²⋊D₅₃	—	4	4	no	—
815	C₂×Dic₅₃	—	2	8	no	—
816	C₂×Dic₅₃	—	2	8	no	—
817	C₂×Dic₅₃	—	2	2	no	—
818	C₂×Dic₅₃	—	2	2	no	—
819	C₂×Dic₅₃	—	2	2	no	—
820	C₂×Dic₅₃	—	2	2	no	—
821	C₂×Dic₅₃	—	2	2	no	—
822	C₂×Dic₅₃	—	2	2	no	—
823	C₂×Dic₅₃	—	2	2	no	—
824	C₂×Dic₅₃	—	2	2	no	—
825	C₂×Dic₅₃	—	2	2	no	—
826	C₂×Dic₅₃	—	2	2	no	—
827	C₂×Dic₅₃	—	2	2	no	—
828	C₂×Dic₅₃	—	2	2	no	—
829	C₂×Dic₅₃	—	2	2	no	—
830	C₂×Dic₅₃	—	4	4	no	—
831	C₂×Dic₅₃	C₂⁵	1	2	yes	—
832	C₂×Dic₅₃	C₂⁵	1	2	yes	—
833	C₂×Dic₅₃	C₂⁵	1	2	yes	—
834	C₂×Dic₅₃	C₂⁵	1	2	yes	—
835	C₂×Dic₅₃	C₂⁵	1	2	yes	—
836	C₂×Dic₅₃	C₂⁵	1	2	yes	—
837	C₂×Dic₅₃	C₂⁵	1	2	yes	—
838	C₂×Dic₅₃	C₂⁵	1	2	yes	—
839	C₂×Dic₅₃	C₂⁵	1	2	yes	—
840	C₂×Dic₅₃	C₂⁵	1	2	yes	—
841	C₂×Dic₅₃	C₂⁵	1	2	yes	—
842	C₂×Dic₅₃	C₂⁵	1	2	yes	—
843	C₂×Dic₅₃	C₂⁵	1	2	yes	—
844	D₂₁₂	—	4	4	no	—
845	D₂₁₂	—	4	4	no	—
846	C₄×D₅₃	—	4	4	no	—
847	C₄×D₅₃	—	4	4	no	—
848	C₄×D₅₃	—	4	4	no	—
849	C₄×D₅₃	—	4	4	no	—
850	C₄×D₅₃	—	4	4	no	—
851	C₄×D₅₃	—	4	4	no	—
852	C₄×D₅₃	—	4	4	no	—
853	Dic₁₀₆	—	4	4	no	—
854	Dic₁₀₆	—	4	4	no	—
855	Dic₁₀₆	—	4	4	no	—
856	Dic₁₀₆	—	4	4	no	—
857	Dic₁₀₆	—	4	4	no	—
858	Dic₁₀₆	—	4	4	no	—
859	C₂×#3564	—	53	1	no	maximal, Sylow
860	C₂²×C₅₃	—	2	2	no	—
861	C₂²×C₅₃	—	2	2	no	—
862	C₂²×C₅₃	—	2	8	no	—
863	C₂²×C₅₃	—	2	2	no	—
864	C₂²×C₅₃	—	2	2	no	—
865	C₂²×C₅₃	—	2	2	no	—
866	C₂²×C₅₃	—	4	4	no	—
867	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	4	yes	—
868	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
869	C₂²×C₅₃	#585	1	2	yes	—
870	C₂²×C₅₃	#585	1	2	yes	—
871	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
872	C₂×D₅₃	—	2	2	no	—
873	C₂×D₅₃	—	2	2	no	—
874	C₂×D₅₃	—	2	2	no	—
875	C₂×D₅₃	—	2	2	no	—
876	C₂×D₅₃	—	2	2	no	—
877	C₂×D₅₃	—	2	2	no	—
878	C₂×D₅₃	—	2	2	no	—
879	C₂×D₅₃	—	2	2	no	—
880	C₂×D₅₃	—	2	2	no	—
881	C₂×D₅₃	—	4	4	no	—
882	C₂×D₅₃	—	4	4	no	—
883	C₂×D₅₃	—	4	4	no	—
884	C₂×D₅₃	—	8	8	no	—
885	C₄×C₅₃	—	2	2	no	—
886	C₄×C₅₃	—	2	2	no	—
887	C₄×C₅₃	—	2	2	no	—
888	C₄×C₅₃	—	2	2	no	—
889	C₄×C₅₃	—	2	2	no	—
890	C₄×C₅₃	—	2	2	no	—
891	C₄×C₅₃	—	2	2	no	—
892	C₄×C₅₃	—	2	2	no	—
893	C₄×C₅₃	—	2	2	no	—
894	C₄×C₅₃	—	2	2	no	—
895	C₄×C₅₃	—	2	2	no	—
896	C₄×C₅₃	—	2	2	no	—
897	C₄×C₅₃	—	2	2	no	—
898	Dic₅₃	—	2	2	no	—
899	Dic₅₃	—	2	2	no	—
900	Dic₅₃	—	2	2	no	—
901	Dic₅₃	—	2	2	no	—
902	Dic₅₃	—	2	2	no	—
903	Dic₅₃	—	2	2	no	—
904	Dic₅₃	—	2	2	no	—
905	Dic₅₃	—	2	2	no	—
906	Dic₅₃	—	2	2	no	—
907	Dic₅₃	—	2	2	no	—
908	Dic₅₃	—	2	2	no	—
909	Dic₅₃	—	2	2	no	—
910	Dic₅₃	—	2	2	no	—
911	#3564	—	53	32	no	—
912	C₂×#563	—	53	1	no	—
913	C₂×#563	—	53	1	no	—
914	C₂×#563	—	53	1	no	—
915	C₂×#563	—	53	1	no	—
916	C₂×#556	—	53	1	no	—
917	C₂×#556	—	53	1	no	—
918	C₂×#554	—	53	1	no	—
919	C₂×#554	D₅₃	1	1	yes	characteristic, complemented
920	C₂×#552	—	53	1	no	—
921	C₂×#552	—	53	1	no	—
922	C₂×#552	—	53	1	no	—
923	C₂×#552	—	53	1	no	—
924	C₂×#551	—	53	1	no	—
925	C₂×#551	—	53	1	no	—
926	C₂×#551	—	53	1	no	—
927	C₂×#551	—	53	1	no	—
928	C₂×#544	—	53	1	no	—
929	C₂×#543	—	53	1	no	—
930	C₂×#542	—	53	1	no	—
931	C₂×#542	—	53	1	no	—
932	C₂×#541	—	53	1	no	—
933	C₂×#541	—	53	1	no	—
934	C₂×#541	—	53	1	no	—
935	C₂×#541	—	53	1	no	—
936	C₂×#539	—	53	1	no	—
937	C₂×#539	—	53	1	no	—
938	C₂×#539	—	53	1	no	—
939	C₂×#538	—	53	1	no	—
940	C₂×#533	—	53	1	no	—
941	C₂×#529	—	53	1	no	—
942	C₂²×#126	—	53	1	no	—
943	C₂×C₅₃	—	2	4	no	—
944	C₂×C₅₃	—	4	2	no	—
945	C₂×C₅₃	#3564	1	4	yes	complemented
946	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
947	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
948	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
949	D₅₃	—	4	2	no	—
950	D₅₃	—	4	2	no	—
951	D₅₃	—	4	2	no	—
952	#563	—	53	16	no	—
953	#563	—	53	16	no	—
954	#563	—	53	16	no	—
955	#563	—	53	16	no	—
956	#556	—	53	16	no	—
957	#556	—	53	16	no	—
958	#554	—	53	16	no	—
959	#554	C₂×D₅₃	1	16	yes	complemented
960	#552	—	53	16	no	—
961	#552	—	53	16	no	—
962	#552	—	53	16	no	—
963	#552	—	53	16	no	—
964	#551	—	53	16	no	—
965	#551	—	53	16	no	—
966	#551	—	53	16	no	—
967	#551	—	53	16	no	—
968	#544	—	53	16	no	—
969	#543	—	53	16	no	—
970	#542	—	53	16	no	—
971	#542	—	53	16	no	—
972	#541	—	53	16	no	—
973	#541	—	53	16	no	—
974	#541	—	53	16	no	—
975	#541	—	53	16	no	—
976	#539	—	53	16	no	—
977	#539	—	53	16	no	—
978	#539	—	53	16	no	—
979	#538	—	53	16	no	—
980	#533	—	53	16	no	—
981	C₂×C₄⋊Q₈	—	53	1	no	—
982	C₂×C₄⋊Q₈	—	53	1	no	—
983	C₂×C₄⋊Q₈	—	53	1	no	—
984	C₂×C₄⋊Q₈	—	53	1	no	—
985	C₂×C₄⋊Q₈	—	53	1	no	—
986	C₂×C₄⋊Q₈	—	53	1	no	—
987	C₂×C₄⋊Q₈	—	53	1	no	—
988	C₂×C₄⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
989	#529	—	53	16	no	—
990	C₂×#126	—	53	1	no	—
991	C₂×#126	—	53	1	no	—
992	C₂×#126	—	53	1	no	—
993	C₂×#126	—	53	1	no	—
994	C₂×#126	—	53	1	no	—
995	C₂×#126	—	53	1	no	—
996	C₂×#126	—	53	1	no	—
997	C₂×#126	—	53	1	no	—
998	C₂×#126	—	53	16	no	—
999	C₂×#126	—	53	1	no	—
1000	C₂×#126	—	53	1	no	—
1001	C₂×#126	—	53	1	no	—
1002	C₂×#126	—	53	1	no	—
1003	C₂×#126	—	53	1	no	—
1004	C₂×#126	—	53	1	no	—
1005	C₂×#126	—	53	1	no	—
1006	C₂×#126	—	53	1	no	—
1007	C₂×#126	—	53	1	no	—
1008	C₂×#126	—	53	1	no	—
1009	C₂×#126	—	53	1	no	—
1010	C₂×#126	—	53	1	no	—
1011	C₂×#126	—	53	1	no	—
1012	C₂×#126	—	53	1	no	—
1013	C₂×#126	—	53	1	no	—
1014	C₂×#126	—	53	1	no	—
1015	C₂×#126	—	53	1	no	—
1016	C₂×#126	—	53	1	no	—
1017	C₂×#125	—	53	1	no	—
1018	C₂×#125	—	53	1	no	—
1019	C₂×#125	—	53	1	no	—
1020	C₂×#125	—	53	1	no	—
1021	C₂×#125	—	53	1	no	—
1022	C₂×#125	—	53	1	no	—
1023	C₂×#125	—	53	1	no	—
1024	C₂×#125	—	53	1	no	—
1025	C₂×#125	—	53	1	no	—
1026	C₂×#125	—	53	1	no	—
1027	C₂×#125	—	53	1	no	—
1028	C₂×#125	—	53	1	no	—
1029	C₂×#125	—	53	1	no	—
1030	C₂×#125	—	53	1	no	—
1031	C₂×#125	—	53	1	no	—
1032	C₂×#125	—	53	1	no	—
1033	C₂×#125	—	53	1	no	—
1034	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1035	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1036	C₂×#124	—	53	1	no	—
1037	C₂×#124	—	53	1	no	—
1038	C₂×#124	—	53	1	no	—
1039	C₂×#124	—	53	1	no	—
1040	C₂×#124	—	53	1	no	—
1041	C₂×#124	—	53	1	no	—
1042	C₂×#124	—	53	1	no	—
1043	C₂×#123	—	53	1	no	—
1044	C₂×#123	—	53	1	no	—
1045	C₂×#123	—	53	1	no	—
1046	C₂×#123	—	53	1	no	—
1047	C₂×#123	—	53	1	no	—
1048	C₂×#123	—	53	1	no	—
1049	C₂×#123	—	53	1	no	—
1050	C₂×#123	—	53	1	no	—
1051	C₂×#123	—	53	1	no	—
1052	C₂×#123	—	53	1	no	—
1053	C₂×#123	—	53	1	no	—
1054	C₂×#123	—	53	1	no	—
1055	C₂×#123	—	53	1	no	—
1056	C₂×#123	—	53	1	no	—
1057	C₂×#123	—	53	1	no	—
1058	C₂×#123	—	53	1	no	—
1059	C₂×C₂²⋊Q₈	—	53	1	no	—
1060	C₂×C₂²⋊Q₈	—	53	1	no	—
1061	C₂×C₂²⋊Q₈	—	53	1	no	—
1062	C₂×C₂²⋊Q₈	—	53	1	no	—
1063	C₂×C₂²⋊Q₈	—	53	1	no	—
1064	C₂×C₂²⋊Q₈	—	53	1	no	—
1065	C₂×C₂²⋊Q₈	—	53	1	no	—
1066	C₂×C₂²⋊Q₈	—	53	1	no	—
1067	C₂×C₂²⋊Q₈	—	53	1	no	—
1068	C₂×C₂²⋊Q₈	—	53	1	no	—
1069	C₂×C₂²⋊Q₈	—	53	1	no	—
1070	C₂×C₂²⋊Q₈	—	53	1	no	—
1071	C₂×C₂²⋊Q₈	—	53	1	no	—
1072	C₂×C₂²⋊Q₈	—	53	1	no	—
1073	C₂×C₂²⋊Q₈	—	53	1	no	—
1074	C₂×C₂²⋊Q₈	—	53	1	no	—
1075	C₂×C₂²⋊Q₈	—	53	1	no	—
1076	C₂×C₂²⋊Q₈	—	53	1	no	—
1077	C₂×C₂²⋊Q₈	—	53	1	no	—
1078	C₂×C₂²⋊Q₈	—	53	1	no	—
1079	C₂×C₂²⋊Q₈	—	53	1	no	—
1080	C₂×C₂²⋊Q₈	—	53	1	no	—
1081	C₂×C₂²⋊Q₈	—	53	1	no	—
1082	C₂×C₂²⋊Q₈	—	53	1	no	—
1083	C₂×C₂²⋊Q₈	—	53	1	no	—
1084	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
1085	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
1086	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
1087	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1088	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1089	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1090	C₂×#121	—	53	1	no	—
1091	C₂×#121	—	53	1	no	—
1092	C₂×#121	—	53	1	no	—
1093	C₂×#120	—	53	1	no	—
1094	C₂×#120	—	53	1	no	—
1095	C₂×C₄×Q₈	—	53	1	no	—
1096	C₂×C₄×Q₈	—	53	1	no	—
1097	C₂×C₄×Q₈	—	53	1	no	—
1098	C₂×C₄×Q₈	—	53	1	no	—
1099	C₂×C₄×Q₈	—	53	1	no	—
1100	C₂×C₄×Q₈	—	53	1	no	—
1101	C₂×C₄×Q₈	—	53	1	no	—
1102	C₂×C₄×Q₈	—	53	1	no	—
1103	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1104	C₂×C₄×D₄	—	53	1	no	—
1105	C₂×C₄×D₄	—	53	1	no	—
1106	C₂×C₄×D₄	—	53	1	no	—
1107	C₂×C₄×D₄	—	53	1	no	—
1108	C₂×C₄×D₄	—	53	1	no	—
1109	C₂×C₄×D₄	—	53	1	no	—
1110	C₂×C₄×D₄	—	53	1	no	—
1111	C₂×C₄×D₄	—	53	1	no	—
1112	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1113	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1114	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1115	C₂×#117	—	53	1	no	—
1116	C₂×#117	—	53	1	no	—
1117	C₂×#117	—	53	1	no	—
1118	C₂×#117	—	53	1	no	—
1119	C₂×#117	—	53	1	no	—
1120	C₂×#117	—	53	1	no	—
1121	C₂×#117	—	53	1	no	—
1122	C₂×#117	—	53	1	no	—
1123	C₂×#117	—	53	1	no	—
1124	C₂×#117	—	53	1	no	—
1125	C₂×#117	—	53	1	no	—
1126	C₂×#117	—	53	1	no	—
1127	C₂²×C₄⋊C₄	—	53	1	no	—
1128	C₂²×C₄⋊C₄	—	53	1	no	—
1129	C₂²×C₄⋊C₄	—	53	1	no	—
1130	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1131	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1132	C₂²×C₂²⋊C₄	—	53	1	no	—
1133	C₂²×C₂²⋊C₄	—	53	1	no	—
1134	C₂²×C₂²⋊C₄	—	53	1	no	—
1135	C₂²×C₂²⋊C₄	—	53	1	no	—
1136	C₂²×C₂²⋊C₄	—	53	1	no	—
1137	C₂²×C₄²	—	53	1	no	—
1138	C₅₃	C₂×#3564	1	1	yes	characteristic, complemented, Sylow
1139	C₂⁵	—	53	1	no	—
1140	C₂²×Q₈	—	53	1	no	—
1141	C₂²×Q₈	—	53	1	no	—
1142	C₂²×Q₈	—	53	1	no	—
1143	C₂²×Q₈	—	53	1	no	—
1144	C₂²×Q₈	—	53	1	no	—
1145	C₂²×Q₈	—	53	1	no	—
1146	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1147	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1148	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1149	C₂²×D₄	—	53	1	no	—
1150	C₂²×D₄	—	53	1	no	—
1151	C₂²×D₄	—	53	1	no	—
1152	C₂²×D₄	—	53	1	no	—
1153	C₂²×D₄	—	53	1	no	—
1154	C₂²×D₄	—	53	1	no	—
1155	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1156	C₂³×C₄	—	53	1	no	—
1157	C₂³×C₄	—	53	1	no	—
1158	C₂³×C₄	—	53	1	no	—
1159	C₂³×C₄	—	53	1	no	—
1160	C₂³×C₄	—	53	1	no	—
1161	C₂³×C₄	—	53	1	no	—
1162	C₂³×C₄	—	53	1	no	—
1163	C₂³×C₄	—	53	1	no	—
1164	C₂³×C₄	—	53	1	no	—
1165	C₂³×C₄	—	53	1	no	—
1166	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1167	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1168	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1169	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1170	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1171	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1172	C₄⋊Q₈	—	53	8	no	—
1173	C₄⋊Q₈	—	53	8	no	—
1174	C₄⋊Q₈	—	53	8	no	—
1175	C₄⋊Q₈	—	53	8	no	—
1176	C₄⋊Q₈	—	53	8	no	—
1177	C₄⋊Q₈	—	53	8	no	—
1178	C₄⋊Q₈	—	53	8	no	—
1179	C₄⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1180	#126	—	53	8	no	—
1181	#126	—	53	8	no	—
1182	#126	—	53	8	no	—
1183	#126	—	53	8	no	—
1184	#126	—	53	8	no	—
1185	#126	—	53	8	no	—
1186	#126	—	53	8	no	—
1187	#126	—	53	8	no	—
1188	#126	—	53	8	no	—
1189	#126	—	53	8	no	—
1190	#126	—	53	8	no	—
1191	#126	—	53	8	no	—
1192	#126	—	53	8	no	—
1193	#126	—	53	8	no	—
1194	#126	—	53	8	no	—
1195	#126	—	53	8	no	—
1196	#126	—	53	8	no	—
1197	#126	—	53	8	no	—
1198	#126	—	53	8	no	—
1199	#126	—	53	8	no	—
1200	#126	—	53	8	no	—
1201	#126	—	53	8	no	—
1202	#126	—	53	8	no	—
1203	#126	—	53	8	no	—
1204	#126	—	53	8	no	—
1205	#126	—	53	8	no	—
1206	#125	—	53	8	no	—
1207	#125	—	53	8	no	—
1208	#125	—	53	8	no	—
1209	#125	—	53	8	no	—
1210	#125	—	53	8	no	—
1211	#125	—	53	8	no	—
1212	#125	—	53	8	no	—
1213	#125	—	53	8	no	—
1214	#125	—	53	8	no	—
1215	#125	—	53	8	no	—
1216	#125	—	53	8	no	—
1217	#125	—	53	8	no	—
1218	#125	—	53	8	no	—
1219	#125	—	53	8	no	—
1220	#125	—	53	8	no	—
1221	#125	—	53	8	no	—
1222	#125	—	53	8	no	—
1223	#125	C₂²×D₅₃	1	8	yes	complemented
1224	#125	C₂²×D₅₃	1	8	yes	complemented
1225	#124	—	53	8	no	—
1226	#124	—	53	8	no	—
1227	#124	—	53	8	no	—
1228	#124	—	53	8	no	—
1229	#124	—	53	8	no	—
1230	#124	—	53	8	no	—
1231	#124	—	53	8	no	—
1232	#123	—	53	8	no	—
1233	#123	—	53	8	no	—
1234	#123	—	53	8	no	—
1235	#123	—	53	8	no	—
1236	#123	—	53	8	no	—
1237	#123	—	53	8	no	—
1238	#123	—	53	8	no	—
1239	#123	—	53	8	no	—
1240	#123	—	53	8	no	—
1241	#123	—	53	8	no	—
1242	#123	—	53	8	no	—
1243	#123	—	53	8	no	—
1244	#123	—	53	8	no	—
1245	#123	—	53	8	no	—
1246	#123	—	53	8	no	—
1247	#123	—	53	8	no	—
1248	C₂²⋊Q₈	—	53	8	no	—
1249	C₂²⋊Q₈	—	53	8	no	—
1250	C₂²⋊Q₈	—	53	8	no	—
1251	C₂²⋊Q₈	—	53	8	no	—
1252	C₂²⋊Q₈	—	53	8	no	—
1253	C₂²⋊Q₈	—	53	8	no	—
1254	C₂²⋊Q₈	—	53	8	no	—
1255	C₂²⋊Q₈	—	53	8	no	—
1256	C₂²⋊Q₈	—	53	8	no	—
1257	C₂²⋊Q₈	—	53	8	no	—
1258	C₂²⋊Q₈	—	53	8	no	—
1259	C₂²⋊Q₈	—	53	8	no	—
1260	C₂²⋊Q₈	—	53	8	no	—
1261	C₂²⋊Q₈	—	53	8	no	—
1262	C₂²⋊Q₈	—	53	8	no	—
1263	C₂²⋊Q₈	—	53	8	no	—
1264	C₂²⋊Q₈	—	53	8	no	—
1265	C₂²⋊Q₈	—	53	8	no	—
1266	C₂²⋊Q₈	—	53	8	no	—
1267	C₂²⋊Q₈	—	53	8	no	—
1268	C₂²⋊Q₈	—	53	8	no	—
1269	C₂²⋊Q₈	—	53	8	no	—
1270	C₂²⋊Q₈	—	53	8	no	—
1271	C₂²⋊Q₈	—	53	8	no	—
1272	C₂²⋊Q₈	—	53	8	no	—
1273	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	—
1274	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	—
1275	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	—
1276	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1277	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1278	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1279	#121	—	53	8	no	—
1280	#121	—	53	8	no	—
1281	#121	—	53	8	no	—
1282	#120	—	53	8	no	—
1283	#120	—	53	8	no	—
1284	C₄×Q₈	—	53	8	no	—
1285	C₄×Q₈	—	53	8	no	—
1286	C₄×Q₈	—	53	8	no	—
1287	C₄×Q₈	—	53	8	no	—
1288	C₄×Q₈	—	53	8	no	—
1289	C₄×Q₈	—	53	8	no	—
1290	C₄×Q₈	—	53	8	no	—
1291	C₄×Q₈	—	53	8	no	—
1292	C₄×Q₈	C₂²×D₅₃	1	8	yes	complemented
1293	C₄×D₄	—	53	8	no	—
1294	C₄×D₄	—	53	8	no	—
1295	C₄×D₄	—	53	8	no	—
1296	C₄×D₄	—	53	8	no	—
1297	C₄×D₄	—	53	8	no	—
1298	C₄×D₄	—	53	8	no	—
1299	C₄×D₄	—	53	8	no	—
1300	C₄×D₄	—	53	8	no	—
1301	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1302	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1303	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1304	#117	—	53	8	no	—
1305	#117	—	53	8	no	—
1306	#117	—	53	8	no	—
1307	#117	—	53	8	no	—
1308	#117	—	53	8	no	—
1309	#117	—	53	8	no	—
1310	#117	—	53	8	no	—
1311	#117	—	53	8	no	—
1312	#117	—	53	8	no	—
1313	#117	—	53	8	no	—
1314	#117	—	53	8	no	—
1315	#117	—	53	8	no	—
1316	C₂×C₄⋊C₄	—	53	1	no	—
1317	C₂×C₄⋊C₄	—	53	1	no	—
1318	C₂×C₄⋊C₄	—	53	1	no	—
1319	C₂×C₄⋊C₄	—	53	1	no	—
1320	C₂×C₄⋊C₄	—	53	1	no	—
1321	C₂×C₄⋊C₄	—	53	1	no	—
1322	C₂×C₄⋊C₄	—	53	1	no	—
1323	C₂×C₄⋊C₄	—	53	1	no	—
1324	C₂×C₄⋊C₄	—	53	1	no	—
1325	C₂×C₄⋊C₄	—	53	1	no	—
1326	C₂×C₄⋊C₄	—	53	1	no	—
1327	C₂×C₄⋊C₄	—	53	8	no	—
1328	C₂×C₄⋊C₄	—	53	8	no	—
1329	C₂×C₄⋊C₄	—	53	1	no	—
1330	C₂×C₄⋊C₄	—	53	1	no	—
1331	C₂×C₄⋊C₄	—	53	1	no	—
1332	C₂×C₄⋊C₄	—	53	1	no	—
1333	C₂×C₄⋊C₄	—	53	1	no	—
1334	C₂×C₄⋊C₄	—	53	1	no	—
1335	C₂×C₄⋊C₄	—	53	1	no	—
1336	C₂×C₄⋊C₄	—	53	1	no	—
1337	C₂×C₄⋊C₄	—	53	1	no	—
1338	C₂×C₄⋊C₄	—	53	1	no	—
1339	C₂×C₄⋊C₄	—	53	1	no	—
1340	C₂×C₄⋊C₄	—	53	1	no	—
1341	C₂×C₄⋊C₄	—	53	1	no	—
1342	C₂×C₄⋊C₄	—	53	1	no	—
1343	C₂×C₄⋊C₄	—	53	1	no	—
1344	C₂×C₄⋊C₄	—	53	1	no	—
1345	C₂×C₄⋊C₄	—	53	1	no	—
1346	C₂×C₄⋊C₄	—	53	1	no	—
1347	C₂×C₄⋊C₄	—	53	1	no	—
1348	C₂×C₄⋊C₄	—	53	1	no	—
1349	C₂×C₄⋊C₄	—	53	1	no	—
1350	C₂×C₄⋊C₄	—	53	1	no	—
1351	C₂×C₄⋊C₄	—	53	1	no	—
1352	C₂×C₄⋊C₄	—	53	1	no	—
1353	C₂×C₄⋊C₄	—	53	1	no	—
1354	C₂×C₄⋊C₄	—	53	1	no	—
1355	C₂×C₄⋊C₄	—	53	1	no	—
1356	C₂×C₄⋊C₄	—	53	1	no	—
1357	C₂×C₄⋊C₄	—	53	1	no	—
1358	C₂×C₄⋊C₄	—	53	1	no	—
1359	C₂×C₄⋊C₄	—	53	1	no	—
1360	C₂×C₄⋊C₄	—	53	1	no	—
1361	C₂×C₄⋊C₄	—	53	1	no	—
1362	C₂×C₄⋊C₄	—	53	1	no	—
1363	C₂×C₄⋊C₄	—	53	1	no	—
1364	C₂×C₄⋊C₄	—	53	8	no	—
1365	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1366	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1367	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1368	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1369	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	—
1370	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1371	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1372	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1373	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1374	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1375	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1376	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1377	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1378	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1380	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1381	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1383	C₂×C₂²⋊C₄	—	53	1	no	—
1384	C₂×C₂²⋊C₄	—	53	1	no	—
1385	C₂×C₂²⋊C₄	—	53	1	no	—
1386	C₂×C₂²⋊C₄	—	53	1	no	—
1387	C₂×C₂²⋊C₄	—	53	1	no	—
1388	C₂×C₂²⋊C₄	—	53	1	no	—
1389	C₂×C₂²⋊C₄	—	53	1	no	—
1390	C₂×C₂²⋊C₄	—	53	1	no	—
1391	C₂×C₂²⋊C₄	—	53	1	no	—
1392	C₂×C₂²⋊C₄	—	53	1	no	—
1393	C₂×C₂²⋊C₄	—	53	1	no	—
1394	C₂×C₂²⋊C₄	—	53	1	no	—
1395	C₂×C₂²⋊C₄	—	53	1	no	—
1396	C₂×C₂²⋊C₄	—	53	1	no	—
1397	C₂×C₂²⋊C₄	—	53	1	no	—
1398	C₂×C₂²⋊C₄	—	53	1	no	—
1399	C₂×C₂²⋊C₄	—	53	1	no	—
1400	C₂×C₂²⋊C₄	—	53	1	no	—
1401	C₂×C₂²⋊C₄	—	53	1	no	—
1402	C₂×C₂²⋊C₄	—	53	1	no	—
1403	C₂×C₂²⋊C₄	—	53	1	no	—
1404	C₂×C₂²⋊C₄	—	53	1	no	—
1405	C₂×C₂²⋊C₄	—	53	1	no	—
1406	C₂×C₂²⋊C₄	—	53	1	no	—
1407	C₂×C₂²⋊C₄	—	53	8	no	—
1408	C₂×C₂²⋊C₄	—	53	8	no	—
1409	C₂×C₂²⋊C₄	—	53	8	no	—
1410	C₂×C₂²⋊C₄	—	53	1	no	—
1411	C₂×C₂²⋊C₄	—	53	1	no	—
1412	C₂×C₂²⋊C₄	—	53	1	no	—
1413	C₂×C₂²⋊C₄	—	53	1	no	—
1414	C₂×C₂²⋊C₄	—	53	1	no	—
1415	C₂×C₂²⋊C₄	—	53	1	no	—
1416	C₂×C₂²⋊C₄	—	53	1	no	—
1417	C₂×C₂²⋊C₄	—	53	1	no	—
1418	C₂×C₂²⋊C₄	—	53	1	no	—
1419	C₂×C₂²⋊C₄	—	53	1	no	—
1420	C₂×C₂²⋊C₄	—	53	1	no	—
1421	C₂×C₂²⋊C₄	—	53	1	no	—
1422	C₂×C₂²⋊C₄	—	53	8	no	—
1423	C₂×C₂²⋊C₄	—	53	8	no	—
1424	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1425	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1426	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1427	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1428	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1429	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1430	C₂×C₄²	—	53	1	no	—
1431	C₂×C₄²	—	53	1	no	—
1432	C₂×C₄²	—	53	1	no	—
1433	C₂×C₄²	—	53	1	no	—
1434	C₂×C₄²	—	53	1	no	—
1435	C₂×C₄²	—	53	1	no	—
1436	C₂×C₄²	—	53	1	no	—
1437	C₂×C₄²	—	53	1	no	—
1438	C₂×C₄²	—	53	1	no	—
1439	C₂×C₄²	—	53	1	no	—
1440	C₂×C₄²	—	53	1	no	—
1441	C₂×C₄²	—	53	1	no	—
1442	C₂×C₄²	—	53	1	no	—
1443	C₂×C₄²	—	53	1	no	—
1444	C₂×C₄²	—	53	1	no	—
1445	C₂×C₄²	—	53	8	no	—
1446	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1447	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1448	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1449	C₂⁴	—	53	1	no	—
1450	C₂⁴	—	53	1	no	—
1451	C₂⁴	—	53	1	no	—
1452	C₂⁴	—	53	4	no	—
1453	C₂⁴	—	106	4	no	—
1454	C₂⁴	—	212	2	no	—
1455	C₂⁴	—	212	2	no	—
1456	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1457	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1458	C₂×Q₈	—	4	2	no	—
1459	C₂×Q₈	—	4	2	no	—
1460	C₂×Q₈	—	4	2	no	—
1461	C₂×Q₈	—	53	4	no	—
1462	C₂×Q₈	—	53	4	no	—
1463	C₂×Q₈	—	53	4	no	—
1464	C₂×Q₈	—	53	4	no	—
1465	C₂×Q₈	—	53	4	no	—
1466	C₂×Q₈	—	53	4	no	—
1467	C₂×Q₈	—	212	2	no	—
1468	C₂×Q₈	—	212	2	no	—
1469	C₂×Q₈	—	212	2	no	—
1470	C₂×Q₈	—	212	2	no	—
1471	C₂×Q₈	—	212	2	no	—
1472	C₂×Q₈	—	212	2	no	—
1473	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1474	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1475	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1476	C₂×D₄	—	2	4	no	—
1477	C₂×D₄	—	53	4	no	—
1478	C₂×D₄	—	53	4	no	—
1479	C₂×D₄	—	53	4	no	—
1480	C₂×D₄	—	53	4	no	—
1481	C₂×D₄	—	53	4	no	—
1482	C₂×D₄	—	53	4	no	—
1483	C₂×D₄	—	106	4	no	—
1484	C₂×D₄	—	212	2	no	—
1485	C₂×D₄	—	212	2	no	—
1486	C₂×D₄	—	212	2	no	—
1487	C₂×D₄	—	212	2	no	—
1488	C₂×D₄	—	212	2	no	—
1489	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1490	C₂²×C₄	—	4	2	no	—
1491	C₂²×C₄	—	4	2	no	—
1492	C₂²×C₄	—	4	2	no	—
1493	C₂²×C₄	—	4	2	no	—
1494	C₂²×C₄	—	4	2	no	—
1495	C₂²×C₄	—	4	2	no	—
1496	C₂²×C₄	—	53	4	no	—
1497	C₂²×C₄	—	53	4	no	—
1498	C₂²×C₄	—	53	1	no	—
1499	C₂²×C₄	—	53	1	no	—
1500	C₂²×C₄	—	53	1	no	—
1501	C₂²×C₄	—	53	1	no	—
1502	C₂²×C₄	—	53	1	no	—
1503	C₂²×C₄	—	53	1	no	—
1504	C₂²×C₄	—	53	1	no	—
1505	C₂²×C₄	—	53	1	no	—
1506	C₂²×C₄	—	53	1	no	—
1507	C₂²×C₄	—	53	1	no	—
1508	C₂²×C₄	—	53	1	no	—
1509	C₂²×C₄	—	53	1	no	—
1510	C₂²×C₄	—	53	1	no	—
1511	C₂²×C₄	—	53	4	no	—
1512	C₂²×C₄	—	53	4	no	—
1513	C₂²×C₄	—	53	4	no	—
1514	C₂²×C₄	—	53	4	no	—
1515	C₂²×C₄	—	53	4	no	—
1516	C₂²×C₄	—	53	4	no	—
1517	C₂²×C₄	—	53	4	no	—
1518	C₂²×C₄	—	53	4	no	—
1519	C₂²×C₄	—	106	4	no	—
1520	C₂²×C₄	—	106	4	no	—
1521	C₂²×C₄	—	212	2	no	—
1522	C₂²×C₄	—	212	2	no	—
1523	C₂²×C₄	—	212	2	no	—
1524	C₂²×C₄	—	212	2	no	—
1525	C₂²×C₄	—	212	2	no	—
1526	C₂²×C₄	—	212	2	no	—
1527	C₂²×C₄	—	212	2	no	—
1528	C₂²×C₄	—	212	2	no	—
1529	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1531	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1532	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1537	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1543	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1544	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1545	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1546	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1547	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1548	C₄⋊C₄	—	53	4	no	—
1549	C₄⋊C₄	—	53	4	no	—
1550	C₄⋊C₄	—	53	4	no	—
1551	C₄⋊C₄	—	53	4	no	—
1552	C₄⋊C₄	—	53	4	no	—
1553	C₄⋊C₄	—	53	4	no	—
1554	C₄⋊C₄	—	53	4	no	—
1555	C₄⋊C₄	—	53	4	no	—
1556	C₄⋊C₄	—	53	4	no	—
1557	C₄⋊C₄	—	53	4	no	—
1558	C₄⋊C₄	—	53	4	no	—
1559	C₄⋊C₄	—	53	4	no	—
1560	C₄⋊C₄	—	53	4	no	—
1561	C₄⋊C₄	—	53	4	no	—
1562	C₄⋊C₄	—	53	4	no	—
1563	C₄⋊C₄	—	53	4	no	—
1564	C₄⋊C₄	—	53	4	no	—
1565	C₄⋊C₄	—	53	4	no	—
1566	C₄⋊C₄	—	53	4	no	—
1567	C₄⋊C₄	—	53	4	no	—
1568	C₄⋊C₄	—	53	4	no	—
1569	C₄⋊C₄	—	53	4	no	—
1570	C₄⋊C₄	—	53	4	no	—
1571	C₄⋊C₄	—	53	4	no	—
1572	C₄⋊C₄	—	53	4	no	—
1573	C₄⋊C₄	—	53	4	no	—
1574	C₄⋊C₄	—	53	4	no	—
1575	C₄⋊C₄	—	53	4	no	—
1576	C₄⋊C₄	—	53	4	no	—
1577	C₄⋊C₄	—	53	4	no	—
1578	C₄⋊C₄	—	53	4	no	—
1579	C₄⋊C₄	—	53	4	no	—
1580	C₄⋊C₄	—	53	4	no	—
1581	C₄⋊C₄	—	53	4	no	—
1582	C₄⋊C₄	—	53	4	no	—
1583	C₄⋊C₄	—	53	4	no	—
1584	C₄⋊C₄	—	53	4	no	—
1585	C₄⋊C₄	—	53	4	no	—
1586	C₄⋊C₄	—	53	4	no	—
1587	C₄⋊C₄	—	53	4	no	—
1588	C₄⋊C₄	—	53	4	no	—
1589	C₄⋊C₄	—	53	4	no	—
1590	C₄⋊C₄	—	53	4	no	—
1591	C₄⋊C₄	—	53	4	no	—
1592	C₄⋊C₄	—	53	4	no	—
1593	C₄⋊C₄	—	53	4	no	—
1594	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1595	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1596	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1597	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1598	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1599	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1600	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1601	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1602	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1603	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1604	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1605	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1606	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1607	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1608	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1609	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1610	C₂²⋊C₄	—	53	4	no	—
1611	C₂²⋊C₄	—	53	4	no	—
1612	C₂²⋊C₄	—	53	4	no	—
1613	C₂²⋊C₄	—	53	4	no	—
1614	C₂²⋊C₄	—	53	4	no	—
1615	C₂²⋊C₄	—	53	4	no	—
1616	C₂²⋊C₄	—	53	4	no	—
1617	C₂²⋊C₄	—	53	4	no	—
1618	C₂²⋊C₄	—	53	4	no	—
1619	C₂²⋊C₄	—	53	4	no	—
1620	C₂²⋊C₄	—	53	4	no	—
1621	C₂²⋊C₄	—	53	4	no	—
1622	C₂²⋊C₄	—	53	4	no	—
1623	C₂²⋊C₄	—	53	4	no	—
1624	C₂²⋊C₄	—	53	4	no	—
1625	C₂²⋊C₄	—	53	4	no	—
1626	C₂²⋊C₄	—	53	4	no	—
1627	C₂²⋊C₄	—	53	4	no	—
1628	C₂²⋊C₄	—	53	4	no	—
1629	C₂²⋊C₄	—	53	4	no	—
1630	C₂²⋊C₄	—	53	4	no	—
1631	C₂²⋊C₄	—	53	4	no	—
1632	C₂²⋊C₄	—	53	4	no	—
1633	C₂²⋊C₄	—	53	4	no	—
1634	C₂²⋊C₄	—	53	4	no	—
1635	C₂²⋊C₄	—	53	4	no	—
1636	C₂²⋊C₄	—	53	4	no	—
1637	C₂²⋊C₄	—	53	4	no	—
1638	C₂²⋊C₄	—	53	4	no	—
1639	C₂²⋊C₄	—	53	4	no	—
1640	C₂²⋊C₄	—	53	4	no	—
1641	C₂²⋊C₄	—	53	4	no	—
1642	C₂²⋊C₄	—	53	4	no	—
1643	C₂²⋊C₄	—	53	4	no	—
1644	C₂²⋊C₄	—	53	4	no	—
1645	C₂²⋊C₄	—	53	4	no	—
1646	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1647	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1648	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1649	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1650	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1651	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1652	C₄²	—	53	4	no	—
1653	C₄²	—	53	4	no	—
1654	C₄²	—	53	4	no	—
1655	C₄²	—	53	4	no	—
1656	C₄²	—	53	4	no	—
1657	C₄²	—	53	4	no	—
1658	C₄²	—	53	4	no	—
1659	C₄²	—	53	4	no	—
1660	C₄²	—	53	4	no	—
1661	C₄²	—	53	4	no	—
1662	C₄²	—	53	4	no	—
1663	C₄²	—	53	4	no	—
1664	C₄²	—	53	4	no	—
1665	C₄²	—	53	4	no	—
1666	C₄²	—	53	4	no	—
1667	C₄²	C₂³×D₅₃	1	4	yes	—
1668	C₄²	C₂³×D₅₃	1	4	yes	—
1669	C₄²	C₂³×D₅₃	1	4	yes	—
1670	C₂³	—	2	2	no	—
1671	C₂³	—	2	2	no	—
1672	C₂³	—	2	2	no	—
1673	C₂³	—	2	2	no	—
1674	C₂³	—	2	2	no	—
1675	C₂³	—	53	2	no	—
1676	C₂³	—	53	2	no	—
1677	C₂³	—	53	2	no	—
1678	C₂³	—	106	8	no	—
1679	C₂³	—	106	2	no	—
1680	C₂³	—	106	2	no	—
1681	C₂³	—	106	2	no	—
1682	C₂³	—	106	2	no	—
1683	C₂³	—	106	2	no	—
1684	C₂³	—	106	2	no	—
1685	C₂³	—	106	2	no	—
1686	C₂³	—	106	2	no	—
1687	C₂³	—	106	2	no	—
1688	C₂³	—	424	8	no	—
1689	C₂³	—	212	4	no	—
1690	C₂³	—	212	4	no	—
1691	C₂³	#13133265	1	4	yes	—
1692	C₂³	C₂⁴×D₅₃	1	2	yes	—
1693	C₂³	C₂⁴×D₅₃	1	2	yes	—
1694	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1695	Q₈	—	4	4	no	—
1696	Q₈	—	4	4	no	—
1697	Q₈	—	4	4	no	—
1698	Q₈	—	212	4	no	—
1699	Q₈	—	212	4	no	—
1700	Q₈	—	212	4	no	—
1701	Q₈	—	212	4	no	—
1702	Q₈	—	212	4	no	—
1703	Q₈	—	212	4	no	—
1704	D₄	—	2	8	no	—
1705	D₄	—	106	8	no	—
1706	D₄	—	212	4	no	—
1707	D₄	—	212	4	no	—
1708	D₄	—	212	4	no	—
1709	D₄	—	212	4	no	—
1710	D₄	—	212	4	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	2	no	—
1713	C₂×C₄	—	2	2	no	—
1714	C₂×C₄	—	2	2	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	2	no	—
1723	C₂×C₄	—	2	2	no	—
1724	C₂×C₄	—	4	4	no	—
1725	C₂×C₄	—	4	4	no	—
1726	C₂×C₄	—	4	4	no	—
1727	C₂×C₄	—	4	4	no	—
1728	C₂×C₄	—	4	4	no	—
1729	C₂×C₄	—	4	4	no	—
1730	C₂×C₄	—	53	2	no	—
1731	C₂×C₄	—	53	2	no	—
1732	C₂×C₄	—	53	2	no	—
1733	C₂×C₄	—	53	2	no	—
1734	C₂×C₄	—	53	2	no	—
1735	C₂×C₄	—	53	2	no	—
1736	C₂×C₄	—	53	2	no	—
1737	C₂×C₄	—	53	2	no	—
1738	C₂×C₄	—	53	2	no	—
1739	C₂×C₄	—	53	2	no	—
1740	C₂×C₄	—	53	2	no	—
1741	C₂×C₄	—	53	2	no	—
1742	C₂×C₄	—	53	2	no	—
1743	C₂×C₄	—	106	8	no	—
1744	C₂×C₄	—	106	8	no	—
1745	C₂×C₄	—	106	2	no	—
1746	C₂×C₄	—	106	2	no	—
1747	C₂×C₄	—	106	2	no	—
1748	C₂×C₄	—	106	2	no	—
1749	C₂×C₄	—	106	2	no	—
1750	C₂×C₄	—	106	2	no	—
1751	C₂×C₄	—	106	2	no	—
1752	C₂×C₄	—	106	2	no	—
1753	C₂×C₄	—	106	2	no	—
1754	C₂×C₄	—	106	2	no	—
1755	C₂×C₄	—	106	2	no	—
1756	C₂×C₄	—	106	2	no	—
1757	C₂×C₄	—	106	2	no	—
1758	C₂×C₄	—	212	4	no	—
1759	C₂×C₄	—	212	4	no	—
1760	C₂×C₄	—	212	4	no	—
1761	C₂×C₄	—	212	4	no	—
1762	C₂×C₄	—	212	4	no	—
1763	C₂×C₄	—	212	4	no	—
1764	C₂×C₄	—	212	4	no	—
1765	C₂×C₄	—	212	4	no	—
1766	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1767	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1768	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1769	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1770	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1771	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1772	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1773	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1774	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1775	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1776	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1777	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1778	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1779	C₂²	—	2	8	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	2	2	no	—
1783	C₂²	—	2	2	no	—
1784	C₂²	—	2	2	no	—
1785	C₂²	—	4	4	no	—
1786	C₂²	—	106	2	no	—
1787	C₂²	—	106	2	no	—
1788	C₂²	—	106	2	no	—
1789	C₂²	—	106	2	no	—
1790	C₂²	—	106	2	no	—
1791	C₂²	—	106	2	no	—
1792	C₂²	—	106	2	no	—
1793	C₂²	—	106	2	no	—
1794	C₂²	—	106	2	no	—
1795	C₂²	—	424	8	no	—
1796	C₂²	—	212	4	no	—
1797	C₂²	—	212	4	no	—
1798	C₂²	—	212	4	no	—
1799	C₂²	C₂×#13133265	1	4	yes	—
1800	C₂²	C₂×#13133265	1	2	yes	—
1801	C₂²	#16811458	1	2	yes	—
1802	C₂²	#16811459	1	2	yes	—
1803	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1804	C₄	—	2	2	no	—
1805	C₄	—	2	2	no	—
1806	C₄	—	2	2	no	—
1807	C₄	—	2	2	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	2	no	—
1810	C₄	—	2	2	no	—
1811	C₄	—	2	2	no	—
1812	C₄	—	2	2	no	—
1813	C₄	—	2	2	no	—
1814	C₄	—	2	2	no	—
1815	C₄	—	2	2	no	—
1816	C₄	—	2	2	no	—
1817	C₄	—	106	2	no	—
1818	C₄	—	106	2	no	—
1819	C₄	—	106	2	no	—
1820	C₄	—	106	2	no	—
1821	C₄	—	106	2	no	—
1822	C₄	—	106	2	no	—
1823	C₄	—	106	2	no	—
1824	C₄	—	106	2	no	—
1825	C₄	—	106	2	no	—
1826	C₄	—	106	2	no	—
1827	C₄	—	106	2	no	—
1828	C₄	—	106	2	no	—
1829	C₄	—	106	2	no	—
1830	C₂	—	2	4	no	—
1831	C₂	—	4	2	no	—
1832	C₂	—	212	2	no	—
1833	C₂	—	212	2	no	—
1834	C₂	—	212	2	no	—
1835	C₂	#20289338	1	4	yes	direct product factor
1836	C₂	C₂²×#13133265	1	1	yes	characteristic
1837	C₂	C₂×#16811458	1	1	yes	characteristic
1838	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#554	C₂
socle	C₂³×C₅₃	C₂⁵
prime radical	C₂×#16811206	C₂
hypercenter	C₂×#554	D₅₃
hypocenter	C₅₃	C₂×#3564
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#554

Complements

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

N	H ≅ G/N	type
1. #20289338	C₂	direct (N × H)
2. C₂×#16811377	C₂	semidirect
3. C₂×#16811374	C₂	semidirect
4. C₂×#16811374	C₂	semidirect
5. C₂×#16811372	C₂	semidirect
6. C₂×#16811345	C₂	semidirect
7. C₂×#16811344	C₂	semidirect
8. C₂×#16811328	C₂	semidirect
9. C₂×#16811315	C₂	semidirect
10. C₂×#16811313	C₂	semidirect
11. C₂×#16811308	C₂	semidirect
12. C₂×#16811305	C₂	semidirect
13. C₂×#16811302	C₂	semidirect
14. C₂×#16811302	C₂	semidirect
15. C₂×#16811300	C₂	semidirect
16. C₂×#16811300	C₂	semidirect
17. C₂×#16811252	C₂	semidirect
18. C₂×#16811248	C₂	semidirect
19. C₂×#16811246	C₂	semidirect
20. C₂×#16811243	C₂	semidirect
21. C₂×#16811234	C₂	semidirect
22. C₂×#16811232	C₂	semidirect
23. C₂×#16811232	C₂	semidirect
24. C₂×#16811231	C₂	semidirect
25. C₂×#16811220	C₂	semidirect
26. C₂×#16811219	C₂	semidirect
27. C₂×#16811215	C₂	semidirect
29. C₂×#16811175	C₂	semidirect
30. C₂×#16811153	C₂	semidirect
31. C₂²×#13133212	C₂	semidirect
32. C₂×C₅₃×#554	C₂	semidirect
33. #16811377	C₂²	semidirect
34. #16811374	C₂²	semidirect
35. #16811374	C₂²	semidirect
36. #16811372	C₂²	semidirect
37. #16811345	C₂²	semidirect
38. #16811344	C₂²	semidirect
39. #16811328	C₂²	semidirect
40. #16811315	C₂²	semidirect
41. #16811313	C₂²	semidirect
42. #16811308	C₂²	semidirect
43. #16811305	C₂²	semidirect
44. #16811302	C₂²	semidirect
45. #16811302	C₂²	semidirect
46. #16811300	C₂²	semidirect
47. #16811300	C₂²	semidirect
48. #16811252	C₂²	semidirect
49. #16811248	C₂²	semidirect
50. #16811246	C₂²	semidirect
51. #16811243	C₂²	semidirect
52. #16811234	C₂²	semidirect
53. #16811232	C₂²	semidirect
54. #16811232	C₂²	semidirect
55. #16811231	C₂²	semidirect
56. #16811220	C₂²	semidirect
57. #16811219	C₂²	semidirect
58. #16811215	C₂²	semidirect
60. #16811175	C₂²	semidirect
61. C₂×#13133216	C₂²	semidirect
62. C₂×#13133216	C₂²	semidirect
63. C₂×#13133216	C₂²	semidirect
64. C₂×#13133216	C₂²	semidirect
65. C₂×#13133215	C₂²	semidirect
66. C₂×#13133215	C₂²	semidirect
67. C₂×#13133215	C₂²	semidirect
68. #16811153	C₂²	semidirect
84. C₂×#13133212	C₂²	semidirect
85. C₂×#13133212	C₂²	semidirect
86. C₂×#13133212	C₂²	semidirect
87. C₂×#13133212	C₂²	semidirect
91. C₂×#13133211	C₂²	semidirect
92. C₂×#13133210	C₂²	semidirect
93. C₂×#13133210	C₂²	semidirect
94. C₂×#13133210	C₂²	semidirect
95. C₂×#13133210	C₂²	semidirect
96. C₂×#13133209	C₂²	semidirect
97. C₂×#13133209	C₂²	semidirect
98. C₂×#13133208	C₂²	semidirect
99. C₂×#13133208	C₂²	semidirect
100. C₂×#13133208	C₂²	semidirect
101. C₂×#13133207	C₂²	semidirect
102. C₂×#13133207	C₂²	semidirect
103. C₂×#13133207	C₂²	semidirect
104. C₂×#13133207	C₂²	semidirect
105. C₂×#13133207	C₂²	semidirect
106. C₂×#13133207	C₂²	semidirect
107. C₂×#13133207	C₂²	semidirect
108. C₂×#13133207	C₂²	semidirect
109. C₂×#13133207	C₂²	semidirect
110. C₂×#13133207	C₂²	semidirect
111. C₂×#13133207	C₂²	semidirect
112. C₂×#13133207	C₂²	semidirect
119. C₂×#13133203	C₂²	semidirect
130. C₂×#13133200	C₂²	semidirect
133. C₂×#13133199	C₂²	semidirect
138. C₂×#13133197	C₂²	semidirect
142. C₂×#13133196	C₂²	semidirect
143. C₂×#13133196	C₂²	semidirect
150. C₂×#13133195	C₂²	semidirect
151. C₂×#13133195	C₂²	semidirect
152. C₂×#13133195	C₂²	semidirect
160. C₂×#13133193	C₂²	semidirect
166. C₂×Q₈×Dic₅₃	C₂²	semidirect
167. C₂×Q₈×Dic₅₃	C₂²	semidirect
168. C₂×C₄×Dic₁₀₆	C₂²	semidirect
169. C₂×C₄×Dic₁₀₆	C₂²	semidirect
170. C₂×#13133182	C₂²	semidirect
171. C₂×#13133182	C₂²	semidirect
172. C₂×#13133182	C₂²	semidirect
173. C₂×#13133182	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
182. C₂×#13133176	C₂²	semidirect
183. C₂×#13133176	C₂²	semidirect
186. C₂×#13133175	C₂²	semidirect
189. C₂×#13133174	C₂²	semidirect
196. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
203. C₅₃×#554	C₂²	semidirect
204. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
205. C₂×#125×C₅₃	C₂²	semidirect
206. C₂×#125×C₅₃	C₂²	semidirect
210. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
211. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
212. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
213. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
242. #13133216	C₂³	semidirect
243. #13133216	C₂³	semidirect
244. #13133216	C₂³	semidirect
245. #13133216	C₂³	semidirect
246. #13133215	C₂³	semidirect
247. #13133215	C₂³	semidirect
248. #13133215	C₂³	semidirect
264. #13133212	C₂³	semidirect
265. #13133212	C₂³	semidirect
266. #13133212	C₂³	semidirect
270. #13133211	C₂³	semidirect
271. #13133210	C₂³	semidirect
272. #13133210	C₂³	semidirect
273. #13133210	C₂³	semidirect
274. #13133210	C₂³	semidirect
275. #13133209	C₂³	semidirect
276. #13133209	C₂³	semidirect
277. #13133208	C₂³	semidirect
278. #13133208	C₂³	semidirect
279. #13133208	C₂³	semidirect
280. #13133207	C₂³	semidirect
281. #13133207	C₂³	semidirect
282. #13133207	C₂³	semidirect
283. #13133207	C₂³	semidirect
284. #13133207	C₂³	semidirect
285. #13133207	C₂³	semidirect
286. #13133207	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133207	C₂³	semidirect
289. #13133207	C₂³	semidirect
290. #13133207	C₂³	semidirect
291. #13133207	C₂³	semidirect
298. #13133203	C₂³	semidirect
309. #13133200	C₂³	semidirect
312. #13133199	C₂³	semidirect
317. #13133197	C₂³	semidirect
321. #13133196	C₂³	semidirect
322. #13133196	C₂³	semidirect
329. #13133195	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
339. #13133193	C₂³	semidirect
345. Q₈×Dic₅₃	C₂³	semidirect
346. Q₈×Dic₅₃	C₂³	semidirect
347. C₄×Dic₁₀₆	C₂³	semidirect
348. C₄×Dic₁₀₆	C₂³	semidirect
349. #13133182	C₂³	semidirect
350. #13133182	C₂³	semidirect
351. #13133182	C₂³	semidirect
352. #13133182	C₂³	semidirect
360. C₄×C₂²⋊D₅₃	C₂³	semidirect
361. #13133176	C₂³	semidirect
362. #13133176	C₂³	semidirect
365. #13133175	C₂³	semidirect
368. #13133174	C₂³	semidirect
421. C₄⋊C₄×D₅₃	C₂³	semidirect
489. C₄⋊Q₈×C₅₃	C₂³	semidirect
490. #125×C₅₃	C₂³	semidirect
491. #125×C₅₃	C₂³	semidirect
495. C₂²⋊Q₈×C₅₃	C₂³	semidirect
496. C₂²⋊Q₈×C₅₃	C₂³	semidirect
497. C₂²⋊Q₈×C₅₃	C₂³	semidirect
498. C₄×Q₈×C₅₃	C₂³	semidirect
519. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
919. C₂×#554	D₅₃	semidirect
945. C₂×C₅₃	#3564	semidirect
959. #554	C₂×D₅₃	semidirect
988. C₂×C₄⋊Q₈	C₂×D₅₃	semidirect
1034. C₂×#125	C₂×D₅₃	semidirect
1035. C₂×#125	C₂×D₅₃	semidirect
1087. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1088. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1089. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1103. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1131. C₂²×C₄⋊C₄	C₂×D₅₃	semidirect
1138. C₅₃	C₂×#3564	semidirect
1179. C₄⋊Q₈	C₂²×D₅₃	semidirect
1223. #125	C₂²×D₅₃	semidirect
1224. #125	C₂²×D₅₃	semidirect
1276. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1277. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1278. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1292. C₄×Q₈	C₂²×D₅₃	semidirect
1382. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1835. C₂	#20289338	direct (N × H)

Maximal subgroups

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

subgroup	index
#20289338	2
C₂×#16811377	2
C₂×#16811374	2
C₂×#16811372	2
C₂×#16811345	2
C₂×#16811344	2
C₂×#16811328	2
C₂×#16811315	2
C₂×#16811313	2
C₂×#16811308	2
C₂×#16811305	2
C₂×#16811302	2
C₂×#16811300	2
C₂×#16811252	2
C₂×#16811248	2
C₂×#16811246	2
C₂×#16811243	2
C₂×#16811234	2
C₂×#16811232	2
C₂×#16811231	2
C₂×#16811220	2
C₂×#16811219	2
C₂×#16811215	2
C₂×#16811206	2
C₂×#16811175	2
C₂×#16811153	2
C₂²×#13133212	2
C₂×C₅₃×#554	2
C₂×#3564	53

Subgroups — C2×#20289338 #28291487

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20289338 #28291487