Subgroups — C₂×#20289368 #28291635

Order 13568.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289368	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811375	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811368	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811357	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811343	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811337	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811323	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811322	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811308	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811306	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811298	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811296	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811244	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811239	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811238	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811230	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811226	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811218	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811216	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811153	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811153	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16811150	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
33	#16811375	C₂²	1	16	yes	complemented
34	#16811368	C₂²	1	16	yes	complemented
35	#16811368	C₂²	1	16	yes	complemented
36	#16811361	C₂²	1	16	yes	complemented
37	#16811357	C₂²	1	16	yes	complemented
38	#16811343	C₂²	1	16	yes	complemented
39	#16811337	C₂²	1	16	yes	complemented
40	#16811323	C₂²	1	16	yes	complemented
41	#16811322	C₂²	1	16	yes	complemented
42	#16811308	C₂²	1	16	yes	complemented
43	#16811306	C₂²	1	16	yes	complemented
44	#16811305	C₂²	1	16	yes	complemented
45	#16811302	C₂²	1	16	yes	complemented
46	#16811298	C₂²	1	16	yes	complemented
47	#16811296	C₂²	1	16	yes	complemented
48	#16811244	C₂²	1	16	yes	complemented
49	#16811239	C₂²	1	16	yes	complemented
50	#16811238	C₂²	1	16	yes	complemented
51	#16811232	C₂²	1	16	yes	complemented
52	#16811230	C₂²	1	16	yes	complemented
53	#16811226	C₂²	1	16	yes	complemented
54	#16811220	C₂²	1	16	yes	complemented
55	#16811218	C₂²	1	16	yes	complemented
56	#16811216	C₂²	1	16	yes	complemented
57	#16811206	C₂²	1	16	yes	complemented
58	#16811205	C₂²	1	16	yes	complemented
59	#16811205	C₂²	1	16	yes	complemented
60	C₂×#13133217	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13133213	C₂²	1	1	yes	characteristic
64	#16811153	C₂²	1	16	yes	complemented
65	#16811153	C₂²	1	16	yes	complemented
66	#16811150	C₂²	1	16	yes	complemented
67	C₂×#13133212	C₂²	1	1	yes	characteristic
68	C₂×#13133212	C₂²	1	1	yes	characteristic
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, complemented
75	C₂×#13133211	C₂²	1	1	yes	characteristic
76	C₂×#13133211	C₂²	1	1	yes	characteristic
77	C₂×#13133210	C₂²	1	1	yes	characteristic
78	C₂×#13133210	C₂²	1	1	yes	characteristic
79	C₂×#13133210	C₂²	1	1	yes	characteristic
80	C₂×#13133210	C₂²	1	1	yes	characteristic
81	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133205	C₂²	1	1	yes	characteristic
97	C₂×#13133204	C₂²	1	1	yes	characteristic
98	C₂×#13133204	C₂²	1	1	yes	characteristic
99	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133203	C₂²	1	1	yes	characteristic
101	C₂×#13133203	C₂²	1	1	yes	characteristic
102	C₂×#13133203	C₂²	1	1	yes	characteristic
103	C₂×#13133203	C₂²	1	1	yes	characteristic
104	C₂×#13133203	C₂²	1	1	yes	characteristic
105	C₂×#13133203	C₂²	1	1	yes	characteristic
106	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133202	C₂²	1	1	yes	characteristic
109	C₂×#13133202	C₂²	1	1	yes	characteristic
110	C₂×#13133202	C₂²	1	1	yes	characteristic
111	C₂×#13133202	C₂²	1	1	yes	characteristic
112	C₂×#13133201	C₂²	1	1	yes	characteristic
113	C₂×#13133201	C₂²	1	1	yes	characteristic
114	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133200	C₂²	1	1	yes	characteristic
116	C₂×#13133200	C₂²	1	1	yes	characteristic
117	C₂×#13133200	C₂²	1	1	yes	characteristic
118	C₂×#13133200	C₂²	1	1	yes	characteristic
119	C₂×#13133200	C₂²	1	1	yes	characteristic
120	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133199	C₂²	1	1	yes	characteristic
122	C₂×#13133199	C₂²	1	1	yes	characteristic
123	C₂×#13133199	C₂²	1	1	yes	characteristic
124	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13133198	C₂²	1	1	yes	characteristic
126	C₂×#13133198	C₂²	1	1	yes	characteristic
127	C₂×#13133198	C₂²	1	1	yes	characteristic
128	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133197	C₂²	1	1	yes	characteristic
131	C₂×#13133197	C₂²	1	1	yes	characteristic
132	C₂×#13133196	C₂²	1	1	yes	characteristic
133	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133195	C₂²	1	1	yes	characteristic
137	C₂×#13133195	C₂²	1	1	yes	characteristic
138	C₂×#13133195	C₂²	1	1	yes	characteristic
139	C₂×#13133195	C₂²	1	1	yes	characteristic
140	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133194	C₂²	1	1	yes	characteristic
143	C₂×#13133194	C₂²	1	1	yes	characteristic
144	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
147	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133191	C₂²	1	1	yes	characteristic
149	C₂×#13133191	C₂²	1	1	yes	characteristic
150	C₂×#13133190	C₂²	1	1	yes	characteristic
151	C₂×#13133190	C₂²	1	1	yes	characteristic
152	C₂×#13133189	C₂²	1	1	yes	characteristic
153	C₂×#13133189	C₂²	1	1	yes	characteristic
154	C₂×#13133189	C₂²	1	1	yes	characteristic
155	C₂×#13133189	C₂²	1	1	yes	characteristic
156	C₂×#13133189	C₂²	1	1	yes	characteristic
157	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133188	C₂²	1	1	yes	characteristic
159	C₂×#13133188	C₂²	1	1	yes	characteristic
160	C₂×#13133188	C₂²	1	1	yes	characteristic
161	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
162	C₂×#13133187	C₂²	1	1	yes	characteristic
163	C₂×#13133185	C₂²	1	1	yes	characteristic
164	C₂×#13133185	C₂²	1	1	yes	characteristic
165	C₂×#13133185	C₂²	1	1	yes	characteristic
166	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
167	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133182	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×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
173	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
174	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
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, complemented
181	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133177	C₂²	1	1	yes	characteristic
183	C₂×#13133177	C₂²	1	1	yes	characteristic
184	C₂×#13133177	C₂²	1	1	yes	characteristic
185	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133176	C₂²	1	1	yes	characteristic
187	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133175	C₂²	1	1	yes	characteristic
190	C₂×#13133175	C₂²	1	1	yes	characteristic
191	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
192	C₂×#13133174	C₂²	1	1	yes	characteristic
193	C₂×#13133174	C₂²	1	1	yes	characteristic
194	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
195	C₂×#13133173	C₂²	1	1	yes	characteristic
196	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
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, complemented
203	C₅₃×#553	C₂²	1	16	yes	complemented
204	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic
205	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
208	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
209	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
211	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic
212	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
214	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
215	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
217	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
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	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
238	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
239	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
240	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
241	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
250	#13133217	C₂³	1	8	yes	complemented
251	#13133216	C₂³	1	8	yes	complemented
252	#13133216	C₂³	1	8	yes	complemented
253	#13133213	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	complemented
262	#13133211	C₂³	1	8	yes	—
263	#13133211	C₂³	1	8	yes	—
264	#13133210	C₂³	1	8	yes	—
265	#13133210	C₂³	1	8	yes	—
266	#13133210	C₂³	1	8	yes	—
267	#13133210	C₂³	1	8	yes	—
268	#13133210	C₂³	1	8	yes	complemented
269	#13133210	C₂³	1	8	yes	complemented
270	#13133210	C₂³	1	8	yes	complemented
271	#13133210	C₂³	1	8	yes	complemented
272	#13133209	C₂³	1	8	yes	complemented
273	#13133208	C₂³	1	8	yes	complemented
274	#13133208	C₂³	1	8	yes	complemented
275	#13133207	C₂³	1	8	yes	complemented
276	#13133207	C₂³	1	8	yes	complemented
277	#13133207	C₂³	1	8	yes	complemented
278	#13133207	C₂³	1	8	yes	complemented
279	#13133207	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	#13133205	C₂³	1	8	yes	—
284	#13133204	C₂³	1	8	yes	—
285	#13133204	C₂³	1	8	yes	—
286	#13133204	C₂³	1	8	yes	complemented
287	#13133203	C₂³	1	8	yes	—
288	#13133203	C₂³	1	8	yes	—
289	#13133203	C₂³	1	8	yes	—
290	#13133203	C₂³	1	8	yes	—
291	#13133203	C₂³	1	8	yes	—
292	#13133203	C₂³	1	8	yes	—
293	#13133203	C₂³	1	8	yes	complemented
294	#13133203	C₂³	1	8	yes	complemented
295	#13133202	C₂³	1	8	yes	—
296	#13133202	C₂³	1	8	yes	—
297	#13133202	C₂³	1	8	yes	—
298	#13133202	C₂³	1	8	yes	—
299	#13133201	C₂³	1	8	yes	—
300	#13133201	C₂³	1	8	yes	—
301	#13133201	C₂³	1	8	yes	complemented
302	#13133200	C₂³	1	8	yes	—
303	#13133200	C₂³	1	8	yes	—
304	#13133200	C₂³	1	8	yes	—
305	#13133200	C₂³	1	8	yes	—
306	#13133200	C₂³	1	8	yes	—
307	#13133200	C₂³	1	8	yes	complemented
308	#13133199	C₂³	1	8	yes	—
309	#13133199	C₂³	1	8	yes	—
310	#13133199	C₂³	1	8	yes	—
311	#13133199	C₂³	1	8	yes	complemented
312	#13133198	C₂³	1	8	yes	—
313	#13133198	C₂³	1	8	yes	—
314	#13133198	C₂³	1	8	yes	—
315	#13133198	C₂³	1	8	yes	complemented
316	#13133198	C₂³	1	8	yes	complemented
317	#13133197	C₂³	1	8	yes	—
318	#13133197	C₂³	1	8	yes	—
319	#13133196	C₂³	1	8	yes	—
320	#13133196	C₂³	1	8	yes	complemented
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	complemented
328	#13133195	C₂³	1	8	yes	complemented
329	#13133194	C₂³	1	8	yes	—
330	#13133194	C₂³	1	8	yes	—
331	#13133194	C₂³	1	8	yes	complemented
332	#13133194	C₂³	1	8	yes	complemented
333	#13133194	C₂³	1	8	yes	complemented
334	#13133194	C₂³	1	8	yes	complemented
335	#13133191	C₂³	1	8	yes	—
336	#13133191	C₂³	1	8	yes	—
337	#13133190	C₂³	1	8	yes	—
338	#13133190	C₂³	1	8	yes	—
339	#13133189	C₂³	1	8	yes	—
340	#13133189	C₂³	1	8	yes	—
341	#13133189	C₂³	1	8	yes	—
342	#13133189	C₂³	1	8	yes	—
343	#13133189	C₂³	1	8	yes	—
344	#13133189	C₂³	1	8	yes	complemented
345	#13133188	C₂³	1	8	yes	—
346	#13133188	C₂³	1	8	yes	—
347	#13133188	C₂³	1	8	yes	—
348	#13133188	C₂³	1	8	yes	complemented
349	#13133187	C₂³	1	8	yes	—
350	#13133185	C₂³	1	8	yes	—
351	#13133185	C₂³	1	8	yes	—
352	#13133185	C₂³	1	8	yes	—
353	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
354	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
355	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
356	#13133182	C₂³	1	8	yes	complemented
357	#13133182	C₂³	1	8	yes	complemented
358	#13133182	C₂³	1	8	yes	complemented
359	C₄×D₂₁₂	C₂³	1	8	yes	—
360	D₄×Dic₅₃	C₂³	1	8	yes	—
361	D₄×Dic₅₃	C₂³	1	8	yes	complemented
362	#13133179	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
364	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
365	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
366	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
367	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
368	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
369	#13133177	C₂³	1	8	yes	—
370	#13133177	C₂³	1	8	yes	—
371	#13133177	C₂³	1	8	yes	—
372	#13133177	C₂³	1	8	yes	complemented
373	#13133176	C₂³	1	8	yes	—
374	#13133176	C₂³	1	8	yes	complemented
375	#13133176	C₂³	1	8	yes	complemented
376	#13133175	C₂³	1	8	yes	—
377	#13133175	C₂³	1	8	yes	—
378	#13133175	C₂³	1	8	yes	complemented
379	#13133174	C₂³	1	8	yes	—
380	#13133174	C₂³	1	8	yes	—
381	#13133174	C₂³	1	8	yes	complemented
382	#13133173	C₂³	1	8	yes	—
383	#13133173	C₂³	1	8	yes	complemented
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×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊Dic₅₃	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	C₂×#11719919	C₂³	1	1	yes	characteristic
422	C₂×#11719919	C₂³	1	8	yes	complemented
423	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
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×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
434	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
435	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
436	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
437	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
439	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
440	C₂×#11719921	C₂³	1	8	yes	—
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	1	yes	characteristic
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	C₂×#11719921	C₂³	1	1	yes	characteristic
462	C₂×#11719921	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
464	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
479	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
480	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
481	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
482	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
483	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
484	C₂²×D₄×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	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
490	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
491	#126×C₅₃	C₂³	1	8	yes	—
492	#126×C₅₃	C₂³	1	8	yes	complemented
493	#125×C₅₃	C₂³	1	8	yes	complemented
494	#123×C₅₃	C₂³	1	8	yes	—
495	#123×C₅₃	C₂³	1	8	yes	complemented
496	#121×C₅₃	C₂³	1	8	yes	—
497	#121×C₅₃	C₂³	1	8	yes	—
498	#121×C₅₃	C₂³	1	8	yes	—
499	#121×C₅₃	C₂³	1	8	yes	complemented
500	C₄×D₄×C₅₃	C₂³	1	8	yes	—
501	C₄×D₄×C₅₃	C₂³	1	8	yes	—
502	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
503	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
504	#117×C₅₃	C₂³	1	8	yes	complemented
505	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
516	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
518	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
519	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
532	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
533	C₂³×D₅₃	—	4	2	no	—
534	C₂³×D₅₃	—	4	2	no	—
535	C₂³×D₅₃	—	4	2	no	—
536	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
537	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
539	C₂³×D₅₃	C₂⁴	1	4	yes	—
540	C₂×D₄×C₅₃	—	4	2	no	—
541	C₂×D₄×C₅₃	—	4	2	no	—
542	C₂×D₄×C₅₃	—	4	2	no	—
543	C₂×D₄×C₅₃	—	4	2	no	—
544	C₂×D₄×C₅₃	—	4	2	no	—
545	C₂×D₄×C₅₃	—	4	2	no	—
546	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
547	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
548	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
549	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
550	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
551	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₅₃	—	4	2	no	—
553	C₂²×C₄×C₅₃	—	4	2	no	—
554	C₂²×C₄×C₅₃	—	4	2	no	—
555	C₂²×C₄×C₅₃	—	4	2	no	—
556	C₂²×C₄×C₅₃	—	4	2	no	—
557	C₂²×C₄×C₅₃	—	4	2	no	—
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	1	yes	characteristic
566	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
573	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
574	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
575	C₂×C₂²⋊D₅₃	—	4	2	no	—
576	C₂×C₂²⋊D₅₃	—	4	2	no	—
577	C₂×C₂²⋊D₅₃	—	4	2	no	—
578	C₂×C₂²⋊D₅₃	—	4	2	no	—
579	C₂×C₂²⋊D₅₃	—	4	2	no	—
580	C₂×C₂²⋊D₅₃	—	4	2	no	—
581	C₂×C₂²⋊D₅₃	—	4	2	no	—
582	C₂×C₂²⋊D₅₃	—	4	2	no	—
583	C₂×C₂²⋊D₅₃	—	4	2	no	—
584	C₂×C₂²⋊D₅₃	—	4	2	no	—
585	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
586	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
587	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
588	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
589	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
590	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
591	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
592	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
593	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
595	C₂²×Dic₅₃	—	4	2	no	—
596	C₂²×Dic₅₃	—	4	2	no	—
597	C₂²×Dic₅₃	—	4	2	no	—
598	C₂²×Dic₅₃	—	4	2	no	—
599	C₂²×Dic₅₃	—	4	2	no	—
600	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
601	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
603	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
604	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
605	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
606	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
614	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
615	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
616	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
617	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
618	C₂×D₂₁₂	—	4	2	no	—
619	C₂×D₂₁₂	—	4	2	no	—
620	C₂×D₂₁₂	C₂⁴	1	4	yes	—
621	C₂×D₂₁₂	C₂⁴	1	4	yes	—
622	C₂×C₄×D₅₃	—	4	2	no	—
623	C₂×C₄×D₅₃	—	4	2	no	—
624	C₂×C₄×D₅₃	—	4	2	no	—
625	C₂×C₄×D₅₃	—	4	2	no	—
626	C₂×C₄×D₅₃	—	4	2	no	—
627	C₂×C₄×D₅₃	—	4	2	no	—
628	C₂×C₄×D₅₃	—	4	2	no	—
629	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
630	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
631	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
632	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
633	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
634	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
635	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
636	C₂×Dic₁₀₆	—	4	2	no	—
637	C₂×Dic₁₀₆	—	4	2	no	—
638	C₂×Dic₁₀₆	—	4	2	no	—
639	C₂×Dic₁₀₆	—	4	2	no	—
640	C₂×Dic₁₀₆	—	4	2	no	—
641	C₂×Dic₁₀₆	—	4	2	no	—
642	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
643	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
644	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
645	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
646	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
647	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
650	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
651	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
652	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
656	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₄²×C₅₃	C₂⁴	1	4	yes	—
669	C₄²×C₅₃	C₂⁴	1	4	yes	—
670	C₄²×C₅₃	C₂⁴	1	4	yes	—
671	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
672	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
673	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
674	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
676	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
677	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
678	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
679	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
680	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
681	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
682	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
683	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
684	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
685	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
686	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
687	#11719921	C₂⁴	1	4	yes	—
688	#11719921	C₂⁴	1	4	yes	—
689	#11719921	C₂⁴	1	4	yes	—
690	#11719921	C₂⁴	1	4	yes	—
691	#11719921	C₂⁴	1	4	yes	—
692	#11719921	C₂⁴	1	4	yes	—
693	#11719921	C₂⁴	1	4	yes	—
694	#11719921	C₂⁴	1	4	yes	—
695	#11719921	C₂⁴	1	4	yes	—
696	#11719921	C₂⁴	1	4	yes	—
697	#11719921	C₂⁴	1	4	yes	—
698	#11719921	C₂⁴	1	4	yes	—
699	#11719921	C₂⁴	1	4	yes	—
700	#11719921	C₂⁴	1	4	yes	—
701	#11719921	C₂⁴	1	4	yes	—
702	#11719921	C₂⁴	1	4	yes	—
703	#11719921	C₂⁴	1	4	yes	—
704	#11719921	C₂⁴	1	4	yes	—
705	#11719921	C₂⁴	1	4	yes	—
706	#11719921	C₂⁴	1	4	yes	—
707	#11719921	C₂⁴	1	4	yes	—
708	#11719921	C₂⁴	1	4	yes	—
709	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
710	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
711	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
712	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
713	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
714	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
715	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
716	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
717	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
718	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
719	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
720	C₄⋊Dic₅₃	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	#11719919	C₂⁴	1	4	yes	—
736	#11719919	C₂⁴	1	4	yes	—
737	#11719919	C₂⁴	1	4	yes	—
738	#11719919	C₂⁴	1	4	yes	—
739	#11719919	C₂⁴	1	4	yes	—
740	#11719919	C₂⁴	1	4	yes	—
741	#11719919	C₂⁴	1	4	yes	—
742	#11719919	C₂⁴	1	4	yes	—
743	#11719919	C₂⁴	1	4	yes	—
744	#11719919	C₂⁴	1	4	yes	—
745	#11719919	C₂⁴	1	4	yes	—
746	#11719919	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	C₄×Dic₅₃	C₂⁴	1	4	yes	—
751	C₄×Dic₅₃	C₂⁴	1	4	yes	—
752	C₄×Dic₅₃	C₂⁴	1	4	yes	—
753	C₄×Dic₅₃	C₂⁴	1	4	yes	—
754	C₄×Dic₅₃	C₂⁴	1	4	yes	—
755	C₄×Dic₅₃	C₂⁴	1	4	yes	—
756	C₄×Dic₅₃	C₂⁴	1	4	yes	—
757	C₄×Dic₅₃	C₂⁴	1	4	yes	—
758	C₄×Dic₅₃	C₂⁴	1	4	yes	—
759	C₄×Dic₅₃	C₂⁴	1	4	yes	—
760	C₂³×C₅₃	—	2	2	no	—
761	C₂³×C₅₃	—	2	2	no	—
762	C₂³×C₅₃	—	2	2	no	—
763	C₂³×C₅₃	—	2	2	no	—
764	C₂³×C₅₃	—	2	2	no	—
765	C₂³×C₅₃	—	2	2	no	—
766	C₂³×C₅₃	—	2	2	no	—
767	C₂³×C₅₃	—	2	2	no	—
768	C₂³×C₅₃	—	2	2	no	—
769	C₂³×C₅₃	—	2	2	no	—
770	C₂³×C₅₃	—	2	2	no	—
771	C₂³×C₅₃	—	2	2	no	—
772	C₂³×C₅₃	C₂⁵	1	2	yes	—
773	C₂³×C₅₃	C₂⁵	1	2	yes	—
774	C₂³×C₅₃	C₂⁵	1	2	yes	—
775	C₂³×C₅₃	C₂⁵	1	2	yes	—
776	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
777	C₂²×D₅₃	—	2	2	no	—
778	C₂²×D₅₃	—	2	2	no	—
779	C₂²×D₅₃	—	2	2	no	—
780	C₂²×D₅₃	—	2	2	no	—
781	C₂²×D₅₃	—	2	2	no	—
782	C₂²×D₅₃	—	2	2	no	—
783	C₂²×D₅₃	—	2	2	no	—
784	C₂²×D₅₃	—	2	2	no	—
785	C₂²×D₅₃	—	2	2	no	—
786	C₂²×D₅₃	—	4	4	no	—
787	C₂²×D₅₃	—	4	4	no	—
788	C₂²×D₅₃	—	4	4	no	—
789	C₂²×D₅₃	—	8	8	no	—
790	C₂²×D₅₃	C₂⁵	1	2	yes	—
791	C₂²×D₅₃	C₂⁵	1	2	yes	—
792	C₂²×D₅₃	C₂⁵	1	2	yes	—
793	D₄×C₅₃	—	4	4	no	—
794	D₄×C₅₃	—	4	4	no	—
795	D₄×C₅₃	—	4	4	no	—
796	D₄×C₅₃	—	4	4	no	—
797	D₄×C₅₃	—	4	4	no	—
798	D₄×C₅₃	—	4	4	no	—
799	C₂×C₄×C₅₃	—	2	2	no	—
800	C₂×C₄×C₅₃	—	2	2	no	—
801	C₂×C₄×C₅₃	—	2	2	no	—
802	C₂×C₄×C₅₃	—	2	2	no	—
803	C₂×C₄×C₅₃	—	2	2	no	—
804	C₂×C₄×C₅₃	—	2	2	no	—
805	C₂×C₄×C₅₃	—	2	2	no	—
806	C₂×C₄×C₅₃	—	2	2	no	—
807	C₂×C₄×C₅₃	—	2	2	no	—
808	C₂×C₄×C₅₃	—	2	2	no	—
809	C₂×C₄×C₅₃	—	2	2	no	—
810	C₂×C₄×C₅₃	—	4	4	no	—
811	C₂×C₄×C₅₃	—	4	4	no	—
812	C₂×C₄×C₅₃	—	4	4	no	—
813	C₂×C₄×C₅₃	—	4	4	no	—
814	C₂×C₄×C₅₃	—	4	4	no	—
815	C₂×C₄×C₅₃	—	4	4	no	—
816	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
817	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
818	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
819	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
820	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
821	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
822	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
823	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
824	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
825	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
826	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
827	C₂²⋊D₅₃	—	4	4	no	—
828	C₂²⋊D₅₃	—	4	4	no	—
829	C₂²⋊D₅₃	—	4	4	no	—
830	C₂²⋊D₅₃	—	4	4	no	—
831	C₂²⋊D₅₃	—	4	4	no	—
832	C₂²⋊D₅₃	—	4	4	no	—
833	C₂²⋊D₅₃	—	4	4	no	—
834	C₂²⋊D₅₃	—	4	4	no	—
835	C₂²⋊D₅₃	—	4	4	no	—
836	C₂²⋊D₅₃	—	4	4	no	—
837	C₂×Dic₅₃	—	2	2	no	—
838	C₂×Dic₅₃	—	2	2	no	—
839	C₂×Dic₅₃	—	2	2	no	—
840	C₂×Dic₅₃	—	2	2	no	—
841	C₂×Dic₅₃	—	2	2	no	—
842	C₂×Dic₅₃	—	2	2	no	—
843	C₂×Dic₅₃	—	2	2	no	—
844	C₂×Dic₅₃	—	2	2	no	—
845	C₂×Dic₅₃	—	2	2	no	—
846	C₂×Dic₅₃	—	2	2	no	—
847	C₂×Dic₅₃	—	2	2	no	—
848	C₂×Dic₅₃	—	2	2	no	—
849	C₂×Dic₅₃	—	2	2	no	—
850	C₂×Dic₅₃	—	4	4	no	—
851	C₂×Dic₅₃	—	4	4	no	—
852	C₂×Dic₅₃	—	4	4	no	—
853	C₂×Dic₅₃	—	4	4	no	—
854	C₂×Dic₅₃	—	4	4	no	—
855	C₂×Dic₅₃	C₂⁵	1	2	yes	—
856	C₂×Dic₅₃	C₂⁵	1	2	yes	—
857	C₂×Dic₅₃	C₂⁵	1	2	yes	—
858	C₂×Dic₅₃	C₂⁵	1	2	yes	—
859	C₂×Dic₅₃	C₂⁵	1	2	yes	—
860	C₂×Dic₅₃	C₂⁵	1	2	yes	—
861	C₂×Dic₅₃	C₂⁵	1	2	yes	—
862	C₂×Dic₅₃	C₂⁵	1	2	yes	—
863	C₂×Dic₅₃	C₂⁵	1	2	yes	—
864	C₂×Dic₅₃	C₂⁵	1	2	yes	—
865	C₂×Dic₅₃	C₂⁵	1	2	yes	—
866	C₂×Dic₅₃	C₂⁵	1	2	yes	—
867	C₂×Dic₅₃	C₂⁵	1	2	yes	—
868	D₂₁₂	—	4	4	no	—
869	D₂₁₂	—	4	4	no	—
870	C₄×D₅₃	—	4	4	no	—
871	C₄×D₅₃	—	4	4	no	—
872	C₄×D₅₃	—	4	4	no	—
873	C₄×D₅₃	—	4	4	no	—
874	C₄×D₅₃	—	4	4	no	—
875	C₄×D₅₃	—	4	4	no	—
876	C₄×D₅₃	—	4	4	no	—
877	Dic₁₀₆	—	4	4	no	—
878	Dic₁₀₆	—	4	4	no	—
879	Dic₁₀₆	—	4	4	no	—
880	Dic₁₀₆	—	4	4	no	—
881	Dic₁₀₆	—	4	4	no	—
882	Dic₁₀₆	—	4	4	no	—
883	C₂×#3566	—	53	1	no	maximal, Sylow
884	C₂²×C₅₃	—	2	2	no	—
885	C₂²×C₅₃	—	2	2	no	—
886	C₂²×C₅₃	—	2	2	no	—
887	C₂²×C₅₃	—	2	2	no	—
888	C₂²×C₅₃	—	2	2	no	—
889	C₂²×C₅₃	—	2	2	no	—
890	C₂²×C₅₃	—	2	2	no	—
891	C₂²×C₅₃	—	2	2	no	—
892	C₂²×C₅₃	—	2	2	no	—
893	C₂²×C₅₃	—	2	2	no	—
894	C₂²×C₅₃	—	2	2	no	—
895	C₂²×C₅₃	—	2	2	no	—
896	C₂²×C₅₃	—	4	4	no	—
897	C₂²×C₅₃	—	4	4	no	—
898	C₂²×C₅₃	—	4	4	no	—
899	C₂²×C₅₃	—	4	4	no	—
900	C₂²×C₅₃	#585	1	2	yes	—
901	C₂²×C₅₃	#585	1	2	yes	—
902	C₂²×C₅₃	#585	1	2	yes	—
903	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
904	C₂×D₅₃	—	2	2	no	—
905	C₂×D₅₃	—	2	2	no	—
906	C₂×D₅₃	—	2	2	no	—
907	C₂×D₅₃	—	2	2	no	—
908	C₂×D₅₃	—	2	2	no	—
909	C₂×D₅₃	—	2	2	no	—
910	C₂×D₅₃	—	2	2	no	—
911	C₂×D₅₃	—	2	2	no	—
912	C₂×D₅₃	—	2	2	no	—
913	C₂×D₅₃	—	4	4	no	—
914	C₂×D₅₃	—	4	4	no	—
915	C₂×D₅₃	—	4	4	no	—
916	C₂×D₅₃	—	8	8	no	—
917	C₄×C₅₃	—	2	2	no	—
918	C₄×C₅₃	—	2	2	no	—
919	C₄×C₅₃	—	2	2	no	—
920	C₄×C₅₃	—	2	2	no	—
921	C₄×C₅₃	—	2	2	no	—
922	C₄×C₅₃	—	2	2	no	—
923	C₄×C₅₃	—	2	2	no	—
924	C₄×C₅₃	—	2	2	no	—
925	C₄×C₅₃	—	2	2	no	—
926	C₄×C₅₃	—	2	2	no	—
927	C₄×C₅₃	—	2	2	no	—
928	Dic₅₃	—	2	2	no	—
929	Dic₅₃	—	2	2	no	—
930	Dic₅₃	—	2	2	no	—
931	Dic₅₃	—	2	2	no	—
932	Dic₅₃	—	2	2	no	—
933	Dic₅₃	—	2	2	no	—
934	Dic₅₃	—	2	2	no	—
935	Dic₅₃	—	2	2	no	—
936	Dic₅₃	—	2	2	no	—
937	Dic₅₃	—	2	2	no	—
938	Dic₅₃	—	2	2	no	—
939	Dic₅₃	—	2	2	no	—
940	Dic₅₃	—	2	2	no	—
941	#3566	—	53	32	no	—
942	C₂×#563	—	53	1	no	—
943	C₂×#562	—	53	1	no	—
944	C₂×#562	—	53	1	no	—
945	C₂×#560	—	53	1	no	—
946	C₂×#559	—	53	1	no	—
947	C₂×#556	—	53	1	no	—
948	C₂×#555	—	53	1	no	—
949	C₂×#553	—	53	1	no	—
950	C₂×#553	—	53	1	no	—
951	C₂×#553	D₅₃	1	1	yes	characteristic, complemented
952	C₂×#552	—	53	1	no	—
953	C₂×#552	—	53	1	no	—
954	C₂×#552	—	53	1	no	—
955	C₂×#551	—	53	1	no	—
956	C₂×#551	—	53	1	no	—
957	C₂×#551	—	53	1	no	—
958	C₂×#542	—	53	1	no	—
959	C₂×#542	—	53	1	no	—
960	C₂×#542	—	53	1	no	—
961	C₂×#541	—	53	1	no	—
962	C₂×#541	—	53	1	no	—
963	C₂×#540	—	53	1	no	—
964	C₂×#539	—	53	1	no	—
965	C₂×#539	—	53	1	no	—
966	C₂×#539	—	53	1	no	—
967	C₂×#538	—	53	1	no	—
968	C₂×#538	—	53	1	no	—
969	C₂×#538	—	53	1	no	—
970	C₂×#529	—	53	1	no	—
971	C₂×#529	—	53	1	no	—
972	C₂×#529	—	53	1	no	—
973	C₂×C₅₃	—	4	2	no	—
974	C₂×C₅₃	—	4	2	no	—
975	C₂×C₅₃	—	4	2	no	—
976	C₂×C₅₃	—	4	2	no	—
977	C₂×C₅₃	#3566	1	4	yes	complemented
978	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
979	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
980	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
981	D₅₃	—	4	2	no	—
982	D₅₃	—	4	2	no	—
983	D₅₃	—	4	2	no	—
984	#563	—	53	16	no	—
985	#562	—	53	16	no	—
986	#562	—	53	16	no	—
987	#560	—	53	16	no	—
988	#559	—	53	16	no	—
989	#556	—	53	16	no	—
990	#555	—	53	16	no	—
991	#553	—	53	16	no	—
992	#553	—	53	16	no	—
993	#553	C₂×D₅₃	1	16	yes	complemented
994	#552	—	53	16	no	—
995	#552	—	53	16	no	—
996	#552	—	53	16	no	—
997	#551	—	53	16	no	—
998	#551	—	53	16	no	—
999	#551	—	53	16	no	—
1000	#542	—	53	16	no	—
1001	#542	—	53	16	no	—
1002	#542	—	53	16	no	—
1003	#541	—	53	16	no	—
1004	#541	—	53	16	no	—
1005	#540	—	53	16	no	—
1006	#539	—	53	16	no	—
1007	#539	—	53	16	no	—
1008	#539	—	53	16	no	—
1009	#538	—	53	16	no	—
1010	#538	—	53	16	no	—
1011	#538	—	53	16	no	—
1012	C₂×C₄⋊Q₈	—	53	1	no	—
1013	C₂×C₄⋊Q₈	—	53	1	no	—
1014	C₂×C₄⋊Q₈	—	53	1	no	—
1015	C₂×#127	—	53	1	no	—
1016	#529	—	53	16	no	—
1017	#529	—	53	16	no	—
1018	#529	—	53	16	no	—
1019	C₂×#126	—	53	1	no	—
1020	C₂×#126	—	53	1	no	—
1021	C₂×#126	—	53	1	no	—
1022	C₂×#126	—	53	1	no	—
1023	C₂×#126	—	53	1	no	—
1024	C₂×#126	—	53	1	no	—
1025	C₂×#126	—	53	1	no	—
1026	C₂×#126	—	53	1	no	—
1027	C₂×#126	—	53	1	no	—
1028	C₂×#126	—	53	1	no	—
1029	C₂×#126	—	53	1	no	—
1030	C₂×#126	—	53	1	no	—
1031	C₂×#126	—	53	1	no	—
1032	C₂×#126	—	53	1	no	—
1033	C₂×#126	—	53	1	no	—
1034	C₂×#126	—	53	1	no	—
1035	C₂×#126	—	53	1	no	—
1036	C₂×#126	—	53	1	no	—
1037	C₂×#126	C₂×D₅₃	1	1	yes	characteristic
1038	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1039	C₂×#125	—	53	1	no	—
1040	C₂×#125	—	53	1	no	—
1041	C₂×#125	—	53	1	no	—
1042	C₂×#125	—	53	1	no	—
1043	C₂×#125	—	53	1	no	—
1044	C₂×#125	—	53	1	no	—
1045	C₂×#125	—	53	1	no	—
1046	C₂×#125	—	53	1	no	—
1047	C₂×#125	—	53	1	no	—
1048	C₂×#125	—	53	1	no	—
1049	C₂×#125	—	53	1	no	—
1050	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1051	C₂×#124	—	53	1	no	—
1052	C₂×#124	—	53	1	no	—
1053	C₂×#124	—	53	1	no	—
1054	C₂×#124	—	53	1	no	—
1055	C₂×#124	—	53	1	no	—
1056	C₂×#124	—	53	1	no	—
1057	C₂×#124	—	53	1	no	—
1058	C₂×#124	—	53	1	no	—
1059	C₂×#124	—	53	1	no	—
1060	C₂×#124	—	53	1	no	—
1061	C₂×#124	—	53	1	no	—
1062	C₂×#124	—	53	1	no	—
1063	C₂×#123	—	53	1	no	—
1064	C₂×#123	—	53	1	no	—
1065	C₂×#123	—	53	1	no	—
1066	C₂×#123	—	53	1	no	—
1067	C₂×#123	—	53	1	no	—
1068	C₂×#123	—	53	1	no	—
1069	C₂×#123	—	53	1	no	—
1070	C₂×#123	—	53	1	no	—
1071	C₂×#123	—	53	1	no	—
1072	C₂×#123	—	53	1	no	—
1073	C₂×#123	—	53	1	no	—
1074	C₂×#123	—	53	1	no	—
1075	C₂×#123	—	53	1	no	—
1076	C₂×#123	—	53	1	no	—
1077	C₂×#123	—	53	1	no	—
1078	C₂×#123	—	53	1	no	—
1079	C₂×#123	—	53	1	no	—
1080	C₂×#123	—	53	1	no	—
1081	C₂×#123	—	53	1	no	—
1082	C₂×#123	—	53	1	no	—
1083	C₂×#123	—	53	1	no	—
1084	C₂×#123	—	53	1	no	—
1085	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
1086	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1087	C₂×C₂²⋊Q₈	—	53	1	no	—
1088	C₂×C₂²⋊Q₈	—	53	1	no	—
1089	C₂×C₂²⋊Q₈	—	53	1	no	—
1090	C₂×C₂²⋊Q₈	—	53	1	no	—
1091	C₂×C₂²⋊Q₈	—	53	1	no	—
1092	C₂×C₂²⋊Q₈	—	53	1	no	—
1093	C₂×C₂²⋊Q₈	—	53	1	no	—
1094	C₂×C₂²⋊Q₈	—	53	1	no	—
1095	C₂×C₂²⋊Q₈	—	53	1	no	—
1096	C₂×C₂²⋊Q₈	—	53	1	no	—
1097	C₂×C₂²⋊Q₈	—	53	1	no	—
1098	C₂×C₂²⋊Q₈	—	53	1	no	—
1099	C₂×C₂²⋊Q₈	—	53	1	no	—
1100	C₂×C₂²⋊Q₈	—	53	1	no	—
1101	C₂×C₂²⋊Q₈	—	53	1	no	—
1102	C₂×C₂²⋊Q₈	—	53	1	no	—
1103	C₂×C₂²⋊Q₈	—	53	1	no	—
1104	C₂×C₂²⋊Q₈	—	53	1	no	—
1105	C₂×#121	—	53	1	no	—
1106	C₂×#121	—	53	1	no	—
1107	C₂×#121	—	53	1	no	—
1108	C₂×#121	—	53	1	no	—
1109	C₂×#121	—	53	1	no	—
1110	C₂×#121	—	53	1	no	—
1111	C₂×#121	—	53	1	no	—
1112	C₂×#121	—	53	1	no	—
1113	C₂×#121	—	53	1	no	—
1114	C₂×#121	—	53	1	no	—
1115	C₂×#121	—	53	1	no	—
1116	C₂×#121	—	53	1	no	—
1117	C₂×#121	—	53	1	no	—
1118	C₂×#121	—	53	1	no	—
1119	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1120	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1121	C₂×#121	C₂×D₅₃	1	1	yes	characteristic
1122	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1123	C₂×#120	—	53	1	no	—
1124	C₂×#120	—	53	1	no	—
1125	C₂×#120	—	53	1	no	—
1126	C₂×#120	—	53	1	no	—
1127	C₂×C₄×Q₈	—	53	1	no	—
1128	C₂×C₄×Q₈	—	53	1	no	—
1129	C₂×C₄×Q₈	—	53	1	no	—
1130	C₂×C₄×Q₈	—	53	1	no	—
1131	C₂×C₄×Q₈	—	53	1	no	—
1132	C₂×C₄×Q₈	—	53	1	no	—
1133	C₂×C₄×D₄	—	53	1	no	—
1134	C₂×C₄×D₄	—	53	1	no	—
1135	C₂×C₄×D₄	—	53	1	no	—
1136	C₂×C₄×D₄	—	53	1	no	—
1137	C₂×C₄×D₄	—	53	1	no	—
1138	C₂×C₄×D₄	—	53	1	no	—
1139	C₂×C₄×D₄	—	53	1	no	—
1140	C₂×C₄×D₄	—	53	1	no	—
1141	C₂×C₄×D₄	—	53	1	no	—
1142	C₂×C₄×D₄	—	53	1	no	—
1143	C₂×C₄×D₄	—	53	1	no	—
1144	C₂×C₄×D₄	—	53	1	no	—
1145	C₂×C₄×D₄	—	53	1	no	—
1146	C₂×C₄×D₄	—	53	1	no	—
1147	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1148	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1149	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1150	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1151	C₂×#117	—	53	1	no	—
1152	C₂×#117	—	53	1	no	—
1153	C₂×#117	—	53	1	no	—
1154	C₂×#117	—	53	1	no	—
1155	C₂×#117	—	53	1	no	—
1156	C₂×#117	—	53	1	no	—
1157	C₂×#117	—	53	1	no	—
1158	C₂×#117	—	53	1	no	—
1159	C₂×#117	—	53	1	no	—
1160	C₂×#117	—	53	1	no	—
1161	C₂×#117	—	53	1	no	—
1162	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1163	C₂²×C₄⋊C₄	—	53	1	no	—
1164	C₂²×C₄⋊C₄	—	53	1	no	—
1165	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1166	C₂²×C₂²⋊C₄	—	53	1	no	—
1167	C₂²×C₂²⋊C₄	—	53	1	no	—
1168	C₂²×C₂²⋊C₄	—	53	1	no	—
1169	C₂²×C₄²	—	53	1	no	—
1170	C₅₃	C₂×#3566	1	1	yes	characteristic, complemented, Sylow
1171	C₂⁵	—	53	1	no	—
1172	C₂²×Q₈	—	53	1	no	—
1173	C₂²×Q₈	—	53	1	no	—
1174	C₂²×Q₈	—	53	1	no	—
1175	C₂²×Q₈	—	53	1	no	—
1176	C₂²×Q₈	—	53	1	no	—
1177	C₂²×Q₈	—	53	1	no	—
1178	C₂²×D₄	—	53	1	no	—
1179	C₂²×D₄	—	53	1	no	—
1180	C₂²×D₄	—	53	1	no	—
1181	C₂²×D₄	—	53	1	no	—
1182	C₂²×D₄	—	53	1	no	—
1183	C₂²×D₄	—	53	1	no	—
1184	C₂²×D₄	—	53	1	no	—
1185	C₂²×D₄	—	53	1	no	—
1186	C₂²×D₄	—	53	1	no	—
1187	C₂²×D₄	—	53	1	no	—
1188	C₂²×D₄	—	53	1	no	—
1189	C₂²×D₄	—	53	1	no	—
1190	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1191	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1192	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1193	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1194	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1195	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1196	C₂³×C₄	—	53	1	no	—
1197	C₂³×C₄	—	53	1	no	—
1198	C₂³×C₄	—	53	1	no	—
1199	C₂³×C₄	—	53	1	no	—
1200	C₂³×C₄	—	53	1	no	—
1201	C₂³×C₄	—	53	1	no	—
1202	C₂³×C₄	—	53	1	no	—
1203	C₂³×C₄	—	53	1	no	—
1204	C₂³×C₄	—	53	1	no	—
1205	C₂³×C₄	—	53	1	no	—
1206	C₂³×C₄	—	53	1	no	—
1207	C₂³×C₄	—	53	1	no	—
1208	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1209	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1210	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1211	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1212	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1213	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1214	C₄⋊Q₈	—	53	8	no	—
1215	C₄⋊Q₈	—	53	8	no	—
1216	C₄⋊Q₈	—	53	8	no	—
1217	#127	—	53	8	no	—
1218	#126	—	53	8	no	—
1219	#126	—	53	8	no	—
1220	#126	—	53	8	no	—
1221	#126	—	53	8	no	—
1222	#126	—	53	8	no	—
1223	#126	—	53	8	no	—
1224	#126	—	53	8	no	—
1225	#126	—	53	8	no	—
1226	#126	—	53	8	no	—
1227	#126	—	53	8	no	—
1228	#126	—	53	8	no	—
1229	#126	—	53	8	no	—
1230	#126	—	53	8	no	—
1231	#126	—	53	8	no	—
1232	#126	—	53	8	no	—
1233	#126	—	53	8	no	—
1234	#126	—	53	8	no	—
1235	#126	—	53	8	no	—
1236	#126	C₂²×D₅₃	1	8	yes	—
1237	#126	C₂²×D₅₃	1	8	yes	complemented
1238	#125	—	53	8	no	—
1239	#125	—	53	8	no	—
1240	#125	—	53	8	no	—
1241	#125	—	53	8	no	—
1242	#125	—	53	8	no	—
1243	#125	—	53	8	no	—
1244	#125	—	53	8	no	—
1245	#125	—	53	8	no	—
1246	#125	—	53	8	no	—
1247	#125	—	53	8	no	—
1248	#125	—	53	8	no	—
1249	#125	C₂²×D₅₃	1	8	yes	complemented
1250	#124	—	53	8	no	—
1251	#124	—	53	8	no	—
1252	#124	—	53	8	no	—
1253	#124	—	53	8	no	—
1254	#124	—	53	8	no	—
1255	#124	—	53	8	no	—
1256	#124	—	53	8	no	—
1257	#124	—	53	8	no	—
1258	#124	—	53	8	no	—
1259	#124	—	53	8	no	—
1260	#124	—	53	8	no	—
1261	#124	—	53	8	no	—
1262	#123	—	53	8	no	—
1263	#123	—	53	8	no	—
1264	#123	—	53	8	no	—
1265	#123	—	53	8	no	—
1266	#123	—	53	8	no	—
1267	#123	—	53	8	no	—
1268	#123	—	53	8	no	—
1269	#123	—	53	8	no	—
1270	#123	—	53	8	no	—
1271	#123	—	53	8	no	—
1272	#123	—	53	8	no	—
1273	#123	—	53	8	no	—
1274	#123	—	53	8	no	—
1275	#123	—	53	8	no	—
1276	#123	—	53	8	no	—
1277	#123	—	53	8	no	—
1278	#123	—	53	8	no	—
1279	#123	—	53	8	no	—
1280	#123	—	53	8	no	—
1281	#123	—	53	8	no	—
1282	#123	—	53	8	no	—
1283	#123	—	53	8	no	—
1284	#123	C₂²×D₅₃	1	8	yes	—
1285	#123	C₂²×D₅₃	1	8	yes	complemented
1286	C₂²⋊Q₈	—	53	8	no	—
1287	C₂²⋊Q₈	—	53	8	no	—
1288	C₂²⋊Q₈	—	53	8	no	—
1289	C₂²⋊Q₈	—	53	8	no	—
1290	C₂²⋊Q₈	—	53	8	no	—
1291	C₂²⋊Q₈	—	53	8	no	—
1292	C₂²⋊Q₈	—	53	8	no	—
1293	C₂²⋊Q₈	—	53	8	no	—
1294	C₂²⋊Q₈	—	53	8	no	—
1295	C₂²⋊Q₈	—	53	8	no	—
1296	C₂²⋊Q₈	—	53	8	no	—
1297	C₂²⋊Q₈	—	53	8	no	—
1298	C₂²⋊Q₈	—	53	8	no	—
1299	C₂²⋊Q₈	—	53	8	no	—
1300	C₂²⋊Q₈	—	53	8	no	—
1301	C₂²⋊Q₈	—	53	8	no	—
1302	C₂²⋊Q₈	—	53	8	no	—
1303	C₂²⋊Q₈	—	53	8	no	—
1304	#121	—	53	8	no	—
1305	#121	—	53	8	no	—
1306	#121	—	53	8	no	—
1307	#121	—	53	8	no	—
1308	#121	—	53	8	no	—
1309	#121	—	53	8	no	—
1310	#121	—	53	8	no	—
1311	#121	—	53	8	no	—
1312	#121	—	53	8	no	—
1313	#121	—	53	8	no	—
1314	#121	—	53	8	no	—
1315	#121	—	53	8	no	—
1316	#121	—	53	8	no	—
1317	#121	—	53	8	no	—
1318	#121	C₂²×D₅₃	1	8	yes	—
1319	#121	C₂²×D₅₃	1	8	yes	—
1320	#121	C₂²×D₅₃	1	8	yes	—
1321	#121	C₂²×D₅₃	1	8	yes	complemented
1322	#120	—	53	8	no	—
1323	#120	—	53	8	no	—
1324	#120	—	53	8	no	—
1325	#120	—	53	8	no	—
1326	C₄×Q₈	—	53	8	no	—
1327	C₄×Q₈	—	53	8	no	—
1328	C₄×Q₈	—	53	8	no	—
1329	C₄×Q₈	—	53	8	no	—
1330	C₄×Q₈	—	53	8	no	—
1331	C₄×Q₈	—	53	8	no	—
1332	C₄×D₄	—	53	8	no	—
1333	C₄×D₄	—	53	8	no	—
1334	C₄×D₄	—	53	8	no	—
1335	C₄×D₄	—	53	8	no	—
1336	C₄×D₄	—	53	8	no	—
1337	C₄×D₄	—	53	8	no	—
1338	C₄×D₄	—	53	8	no	—
1339	C₄×D₄	—	53	8	no	—
1340	C₄×D₄	—	53	8	no	—
1341	C₄×D₄	—	53	8	no	—
1342	C₄×D₄	—	53	8	no	—
1343	C₄×D₄	—	53	8	no	—
1344	C₄×D₄	—	53	8	no	—
1345	C₄×D₄	—	53	8	no	—
1346	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1347	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1348	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1349	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1350	#117	—	53	8	no	—
1351	#117	—	53	8	no	—
1352	#117	—	53	8	no	—
1353	#117	—	53	8	no	—
1354	#117	—	53	8	no	—
1355	#117	—	53	8	no	—
1356	#117	—	53	8	no	—
1357	#117	—	53	8	no	—
1358	#117	—	53	8	no	—
1359	#117	—	53	8	no	—
1360	#117	—	53	8	no	—
1361	#117	C₂²×D₅₃	1	8	yes	complemented
1362	C₂×C₄⋊C₄	—	53	1	no	—
1363	C₂×C₄⋊C₄	—	53	1	no	—
1364	C₂×C₄⋊C₄	—	53	1	no	—
1365	C₂×C₄⋊C₄	—	53	1	no	—
1366	C₂×C₄⋊C₄	—	53	1	no	—
1367	C₂×C₄⋊C₄	—	53	1	no	—
1368	C₂×C₄⋊C₄	—	53	1	no	—
1369	C₂×C₄⋊C₄	—	53	8	no	—
1370	C₂×C₄⋊C₄	—	53	1	no	—
1371	C₂×C₄⋊C₄	—	53	1	no	—
1372	C₂×C₄⋊C₄	—	53	1	no	—
1373	C₂×C₄⋊C₄	—	53	1	no	—
1374	C₂×C₄⋊C₄	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	1	no	—
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₄⋊C₄	—	53	1	no	—
1383	C₂×C₄⋊C₄	—	53	1	no	—
1384	C₂×C₄⋊C₄	—	53	1	no	—
1385	C₂×C₄⋊C₄	—	53	1	no	—
1386	C₂×C₄⋊C₄	—	53	1	no	—
1387	C₂×C₄⋊C₄	—	53	1	no	—
1388	C₂×C₄⋊C₄	—	53	1	no	—
1389	C₂×C₄⋊C₄	—	53	1	no	—
1390	C₂×C₄⋊C₄	—	53	1	no	—
1391	C₂×C₄⋊C₄	—	53	1	no	—
1392	C₂×C₄⋊C₄	—	53	1	no	—
1393	C₂×C₄⋊C₄	—	53	1	no	—
1394	C₂×C₄⋊C₄	—	53	1	no	—
1395	C₂×C₄⋊C₄	—	53	1	no	—
1396	C₂×C₄⋊C₄	—	53	1	no	—
1397	C₂×C₄⋊C₄	—	53	1	no	—
1398	C₂×C₄⋊C₄	—	53	1	no	—
1399	C₂×C₄⋊C₄	—	53	1	no	—
1400	C₂×C₄⋊C₄	—	53	1	no	—
1401	C₂×C₄⋊C₄	—	53	8	no	—
1402	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1403	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1404	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1405	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1406	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1407	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1408	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1409	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1410	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1411	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1412	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	complemented
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	1	no	—
1423	C₂×C₂²⋊C₄	—	53	1	no	—
1424	C₂×C₂²⋊C₄	—	53	1	no	—
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	1	no	—
1427	C₂×C₂²⋊C₄	—	53	1	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	1	no	—
1433	C₂×C₂²⋊C₄	—	53	1	no	—
1434	C₂×C₂²⋊C₄	—	53	1	no	—
1435	C₂×C₂²⋊C₄	—	53	1	no	—
1436	C₂×C₂²⋊C₄	—	53	1	no	—
1437	C₂×C₂²⋊C₄	—	53	8	no	—
1438	C₂×C₂²⋊C₄	—	53	1	no	—
1439	C₂×C₂²⋊C₄	—	53	1	no	—
1440	C₂×C₂²⋊C₄	—	53	1	no	—
1441	C₂×C₂²⋊C₄	—	53	1	no	—
1442	C₂×C₂²⋊C₄	—	53	1	no	—
1443	C₂×C₂²⋊C₄	—	53	1	no	—
1444	C₂×C₂²⋊C₄	—	53	1	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	1	no	—
1451	C₂×C₂²⋊C₄	—	53	1	no	—
1452	C₂×C₂²⋊C₄	—	53	8	no	—
1453	C₂×C₂²⋊C₄	—	53	8	no	—
1454	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1456	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1461	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1462	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1464	C₂×C₄²	—	53	1	no	—
1465	C₂×C₄²	—	53	1	no	—
1466	C₂×C₄²	—	53	1	no	—
1467	C₂×C₄²	—	53	1	no	—
1468	C₂×C₄²	—	53	1	no	—
1469	C₂×C₄²	—	53	1	no	—
1470	C₂×C₄²	—	53	1	no	—
1471	C₂×C₄²	—	53	1	no	—
1472	C₂×C₄²	—	53	1	no	—
1473	C₂×C₄²	—	53	1	no	—
1474	C₂×C₄²	—	53	1	no	—
1475	C₂×C₄²	—	53	1	no	—
1476	C₂×C₄²	—	53	1	no	—
1477	C₂×C₄²	—	53	8	no	—
1478	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1479	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1480	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1481	C₂⁴	—	53	1	no	—
1482	C₂⁴	—	53	1	no	—
1483	C₂⁴	—	53	1	no	—
1484	C₂⁴	—	53	4	no	—
1485	C₂⁴	—	212	2	no	—
1486	C₂⁴	—	212	2	no	—
1487	C₂⁴	—	212	2	no	—
1488	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1489	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1490	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1491	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1492	C₂×Q₈	—	53	4	no	—
1493	C₂×Q₈	—	53	4	no	—
1494	C₂×Q₈	—	53	4	no	—
1495	C₂×Q₈	—	53	4	no	—
1496	C₂×Q₈	—	53	4	no	—
1497	C₂×Q₈	—	53	4	no	—
1498	C₂×Q₈	—	212	2	no	—
1499	C₂×Q₈	—	212	2	no	—
1500	C₂×Q₈	—	212	2	no	—
1501	C₂×Q₈	—	212	2	no	—
1502	C₂×Q₈	—	212	2	no	—
1503	C₂×Q₈	—	212	2	no	—
1504	C₂×D₄	—	4	2	no	—
1505	C₂×D₄	—	4	2	no	—
1506	C₂×D₄	—	4	2	no	—
1507	C₂×D₄	—	4	2	no	—
1508	C₂×D₄	—	4	2	no	—
1509	C₂×D₄	—	4	2	no	—
1510	C₂×D₄	—	53	4	no	—
1511	C₂×D₄	—	53	4	no	—
1512	C₂×D₄	—	53	4	no	—
1513	C₂×D₄	—	53	4	no	—
1514	C₂×D₄	—	53	4	no	—
1515	C₂×D₄	—	53	4	no	—
1516	C₂×D₄	—	53	4	no	—
1517	C₂×D₄	—	53	4	no	—
1518	C₂×D₄	—	53	4	no	—
1519	C₂×D₄	—	53	4	no	—
1520	C₂×D₄	—	53	4	no	—
1521	C₂×D₄	—	53	4	no	—
1522	C₂×D₄	—	212	2	no	—
1523	C₂×D₄	—	212	2	no	—
1524	C₂×D₄	—	212	2	no	—
1525	C₂×D₄	—	212	2	no	—
1526	C₂×D₄	—	212	2	no	—
1527	C₂×D₄	—	212	2	no	—
1528	C₂×D₄	—	212	2	no	—
1529	C₂×D₄	—	212	2	no	—
1530	C₂×D₄	—	212	2	no	—
1531	C₂×D₄	—	212	2	no	—
1532	C₂×D₄	—	212	2	no	—
1533	C₂×D₄	—	212	2	no	—
1534	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1535	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1536	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1537	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1538	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1539	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1540	C₂²×C₄	—	4	2	no	—
1541	C₂²×C₄	—	4	2	no	—
1542	C₂²×C₄	—	4	2	no	—
1543	C₂²×C₄	—	4	2	no	—
1544	C₂²×C₄	—	4	2	no	—
1545	C₂²×C₄	—	4	2	no	—
1546	C₂²×C₄	—	53	1	no	—
1547	C₂²×C₄	—	53	1	no	—
1548	C₂²×C₄	—	53	1	no	—
1549	C₂²×C₄	—	53	1	no	—
1550	C₂²×C₄	—	53	1	no	—
1551	C₂²×C₄	—	53	1	no	—
1552	C₂²×C₄	—	53	1	no	—
1553	C₂²×C₄	—	53	1	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	1	no	—
1556	C₂²×C₄	—	53	1	no	—
1557	C₂²×C₄	—	53	1	no	—
1558	C₂²×C₄	—	53	1	no	—
1559	C₂²×C₄	—	53	4	no	—
1560	C₂²×C₄	—	53	4	no	—
1561	C₂²×C₄	—	53	4	no	—
1562	C₂²×C₄	—	53	4	no	—
1563	C₂²×C₄	—	53	4	no	—
1564	C₂²×C₄	—	53	4	no	—
1565	C₂²×C₄	—	53	4	no	—
1566	C₂²×C₄	—	53	4	no	—
1567	C₂²×C₄	—	53	4	no	—
1568	C₂²×C₄	—	53	4	no	—
1569	C₂²×C₄	—	53	4	no	—
1570	C₂²×C₄	—	53	4	no	—
1571	C₂²×C₄	—	212	2	no	—
1572	C₂²×C₄	—	212	2	no	—
1573	C₂²×C₄	—	212	2	no	—
1574	C₂²×C₄	—	212	2	no	—
1575	C₂²×C₄	—	212	2	no	—
1576	C₂²×C₄	—	212	2	no	—
1577	C₂²×C₄	—	212	2	no	—
1578	C₂²×C₄	—	212	2	no	—
1579	C₂²×C₄	—	212	2	no	—
1580	C₂²×C₄	—	212	2	no	—
1581	C₂²×C₄	—	212	2	no	—
1582	C₂²×C₄	—	212	2	no	—
1583	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1584	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1585	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1588	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1589	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1590	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1591	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1595	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1596	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1597	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1598	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1599	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1600	C₄⋊C₄	—	53	4	no	—
1601	C₄⋊C₄	—	53	4	no	—
1602	C₄⋊C₄	—	53	4	no	—
1603	C₄⋊C₄	—	53	4	no	—
1604	C₄⋊C₄	—	53	4	no	—
1605	C₄⋊C₄	—	53	4	no	—
1606	C₄⋊C₄	—	53	4	no	—
1607	C₄⋊C₄	—	53	4	no	—
1608	C₄⋊C₄	—	53	4	no	—
1609	C₄⋊C₄	—	53	4	no	—
1610	C₄⋊C₄	—	53	4	no	—
1611	C₄⋊C₄	—	53	4	no	—
1612	C₄⋊C₄	—	53	4	no	—
1613	C₄⋊C₄	—	53	4	no	—
1614	C₄⋊C₄	—	53	4	no	—
1615	C₄⋊C₄	—	53	4	no	—
1616	C₄⋊C₄	—	53	4	no	—
1617	C₄⋊C₄	—	53	4	no	—
1618	C₄⋊C₄	—	53	4	no	—
1619	C₄⋊C₄	—	53	4	no	—
1620	C₄⋊C₄	—	53	4	no	—
1621	C₄⋊C₄	—	53	4	no	—
1622	C₄⋊C₄	—	53	4	no	—
1623	C₄⋊C₄	—	53	4	no	—
1624	C₄⋊C₄	—	53	4	no	—
1625	C₄⋊C₄	—	53	4	no	—
1626	C₄⋊C₄	—	53	4	no	—
1627	C₄⋊C₄	—	53	4	no	—
1628	C₄⋊C₄	—	53	4	no	—
1629	C₄⋊C₄	—	53	4	no	—
1630	C₄⋊C₄	—	53	4	no	—
1631	C₄⋊C₄	—	53	4	no	—
1632	C₄⋊C₄	—	53	4	no	—
1633	C₄⋊C₄	—	53	4	no	—
1634	C₄⋊C₄	—	53	4	no	—
1635	C₄⋊C₄	—	53	4	no	—
1636	C₄⋊C₄	—	53	4	no	—
1637	C₄⋊C₄	—	53	4	no	—
1638	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1639	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1640	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1641	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1642	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1643	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1644	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1645	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1646	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1647	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1648	C₂²⋊C₄	—	53	4	no	—
1649	C₂²⋊C₄	—	53	4	no	—
1650	C₂²⋊C₄	—	53	4	no	—
1651	C₂²⋊C₄	—	53	4	no	—
1652	C₂²⋊C₄	—	53	4	no	—
1653	C₂²⋊C₄	—	53	4	no	—
1654	C₂²⋊C₄	—	53	4	no	—
1655	C₂²⋊C₄	—	53	4	no	—
1656	C₂²⋊C₄	—	53	4	no	—
1657	C₂²⋊C₄	—	53	4	no	—
1658	C₂²⋊C₄	—	53	4	no	—
1659	C₂²⋊C₄	—	53	4	no	—
1660	C₂²⋊C₄	—	53	4	no	—
1661	C₂²⋊C₄	—	53	4	no	—
1662	C₂²⋊C₄	—	53	4	no	—
1663	C₂²⋊C₄	—	53	4	no	—
1664	C₂²⋊C₄	—	53	4	no	—
1665	C₂²⋊C₄	—	53	4	no	—
1666	C₂²⋊C₄	—	53	4	no	—
1667	C₂²⋊C₄	—	53	4	no	—
1668	C₂²⋊C₄	—	53	4	no	—
1669	C₂²⋊C₄	—	53	4	no	—
1670	C₂²⋊C₄	—	53	4	no	—
1671	C₂²⋊C₄	—	53	4	no	—
1672	C₂²⋊C₄	—	53	4	no	—
1673	C₂²⋊C₄	—	53	4	no	—
1674	C₂²⋊C₄	—	53	4	no	—
1675	C₂²⋊C₄	—	53	4	no	—
1676	C₂²⋊C₄	—	53	4	no	—
1677	C₂²⋊C₄	—	53	4	no	—
1678	C₂²⋊C₄	—	53	4	no	—
1679	C₂²⋊C₄	—	53	4	no	—
1680	C₂²⋊C₄	—	53	4	no	—
1681	C₂²⋊C₄	—	53	4	no	—
1682	C₂²⋊C₄	—	53	4	no	—
1683	C₂²⋊C₄	—	53	4	no	—
1684	C₂²⋊C₄	—	53	4	no	—
1685	C₂²⋊C₄	—	53	4	no	—
1686	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1687	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1688	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1689	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1690	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1691	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1692	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1693	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1694	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1695	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1696	C₄²	—	53	4	no	—
1697	C₄²	—	53	4	no	—
1698	C₄²	—	53	4	no	—
1699	C₄²	—	53	4	no	—
1700	C₄²	—	53	4	no	—
1701	C₄²	—	53	4	no	—
1702	C₄²	—	53	4	no	—
1703	C₄²	—	53	4	no	—
1704	C₄²	—	53	4	no	—
1705	C₄²	—	53	4	no	—
1706	C₄²	—	53	4	no	—
1707	C₄²	—	53	4	no	—
1708	C₄²	—	53	4	no	—
1709	C₄²	C₂³×D₅₃	1	4	yes	—
1710	C₄²	C₂³×D₅₃	1	4	yes	—
1711	C₄²	C₂³×D₅₃	1	4	yes	—
1712	C₂³	—	2	2	no	—
1713	C₂³	—	2	2	no	—
1714	C₂³	—	2	2	no	—
1715	C₂³	—	2	2	no	—
1716	C₂³	—	2	2	no	—
1717	C₂³	—	2	2	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	2	no	—
1720	C₂³	—	2	2	no	—
1721	C₂³	—	2	2	no	—
1722	C₂³	—	2	2	no	—
1723	C₂³	—	2	2	no	—
1724	C₂³	—	53	2	no	—
1725	C₂³	—	53	2	no	—
1726	C₂³	—	53	2	no	—
1727	C₂³	—	106	2	no	—
1728	C₂³	—	106	2	no	—
1729	C₂³	—	106	2	no	—
1730	C₂³	—	106	2	no	—
1731	C₂³	—	106	2	no	—
1732	C₂³	—	106	2	no	—
1733	C₂³	—	106	2	no	—
1734	C₂³	—	106	2	no	—
1735	C₂³	—	106	2	no	—
1736	C₂³	—	424	8	no	—
1737	C₂³	—	212	4	no	—
1738	C₂³	—	212	4	no	—
1739	C₂³	—	212	4	no	—
1740	C₂³	C₂⁴×D₅₃	1	2	yes	—
1741	C₂³	C₂⁴×D₅₃	1	2	yes	—
1742	C₂³	C₂⁴×D₅₃	1	2	yes	—
1743	C₂³	C₂⁴×D₅₃	1	2	yes	—
1744	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1745	Q₈	—	212	4	no	—
1746	Q₈	—	212	4	no	—
1747	Q₈	—	212	4	no	—
1748	Q₈	—	212	4	no	—
1749	Q₈	—	212	4	no	—
1750	Q₈	—	212	4	no	—
1751	D₄	—	4	4	no	—
1752	D₄	—	4	4	no	—
1753	D₄	—	4	4	no	—
1754	D₄	—	4	4	no	—
1755	D₄	—	4	4	no	—
1756	D₄	—	4	4	no	—
1757	D₄	—	212	4	no	—
1758	D₄	—	212	4	no	—
1759	D₄	—	212	4	no	—
1760	D₄	—	212	4	no	—
1761	D₄	—	212	4	no	—
1762	D₄	—	212	4	no	—
1763	D₄	—	212	4	no	—
1764	D₄	—	212	4	no	—
1765	D₄	—	212	4	no	—
1766	D₄	—	212	4	no	—
1767	D₄	—	212	4	no	—
1768	D₄	—	212	4	no	—
1769	C₂×C₄	—	2	2	no	—
1770	C₂×C₄	—	2	2	no	—
1771	C₂×C₄	—	2	2	no	—
1772	C₂×C₄	—	2	2	no	—
1773	C₂×C₄	—	2	2	no	—
1774	C₂×C₄	—	2	2	no	—
1775	C₂×C₄	—	2	2	no	—
1776	C₂×C₄	—	2	2	no	—
1777	C₂×C₄	—	2	2	no	—
1778	C₂×C₄	—	2	2	no	—
1779	C₂×C₄	—	2	2	no	—
1780	C₂×C₄	—	4	4	no	—
1781	C₂×C₄	—	4	4	no	—
1782	C₂×C₄	—	4	4	no	—
1783	C₂×C₄	—	4	4	no	—
1784	C₂×C₄	—	4	4	no	—
1785	C₂×C₄	—	4	4	no	—
1786	C₂×C₄	—	53	2	no	—
1787	C₂×C₄	—	53	2	no	—
1788	C₂×C₄	—	53	2	no	—
1789	C₂×C₄	—	53	2	no	—
1790	C₂×C₄	—	53	2	no	—
1791	C₂×C₄	—	53	2	no	—
1792	C₂×C₄	—	53	2	no	—
1793	C₂×C₄	—	53	2	no	—
1794	C₂×C₄	—	53	2	no	—
1795	C₂×C₄	—	53	2	no	—
1796	C₂×C₄	—	53	2	no	—
1797	C₂×C₄	—	53	2	no	—
1798	C₂×C₄	—	53	2	no	—
1799	C₂×C₄	—	106	2	no	—
1800	C₂×C₄	—	106	2	no	—
1801	C₂×C₄	—	106	2	no	—
1802	C₂×C₄	—	106	2	no	—
1803	C₂×C₄	—	106	2	no	—
1804	C₂×C₄	—	106	2	no	—
1805	C₂×C₄	—	106	2	no	—
1806	C₂×C₄	—	106	2	no	—
1807	C₂×C₄	—	106	2	no	—
1808	C₂×C₄	—	106	2	no	—
1809	C₂×C₄	—	106	2	no	—
1810	C₂×C₄	—	106	2	no	—
1811	C₂×C₄	—	106	2	no	—
1812	C₂×C₄	—	212	4	no	—
1813	C₂×C₄	—	212	4	no	—
1814	C₂×C₄	—	212	4	no	—
1815	C₂×C₄	—	212	4	no	—
1816	C₂×C₄	—	212	4	no	—
1817	C₂×C₄	—	212	4	no	—
1818	C₂×C₄	—	212	4	no	—
1819	C₂×C₄	—	212	4	no	—
1820	C₂×C₄	—	212	4	no	—
1821	C₂×C₄	—	212	4	no	—
1822	C₂×C₄	—	212	4	no	—
1823	C₂×C₄	—	212	4	no	—
1824	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1825	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1826	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1827	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1828	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1829	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1830	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1831	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1832	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1833	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1834	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1835	C₂²	—	2	2	no	—
1836	C₂²	—	2	2	no	—
1837	C₂²	—	2	2	no	—
1838	C₂²	—	2	2	no	—
1839	C₂²	—	2	2	no	—
1840	C₂²	—	2	2	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	2	no	—
1844	C₂²	—	2	2	no	—
1845	C₂²	—	2	2	no	—
1846	C₂²	—	2	2	no	—
1847	C₂²	—	4	4	no	—
1848	C₂²	—	4	4	no	—
1849	C₂²	—	4	4	no	—
1850	C₂²	—	4	4	no	—
1851	C₂²	—	106	2	no	—
1852	C₂²	—	106	2	no	—
1853	C₂²	—	106	2	no	—
1854	C₂²	—	106	2	no	—
1855	C₂²	—	106	2	no	—
1856	C₂²	—	106	2	no	—
1857	C₂²	—	106	2	no	—
1858	C₂²	—	106	2	no	—
1859	C₂²	—	106	2	no	—
1860	C₂²	—	424	8	no	—
1861	C₂²	—	212	4	no	—
1862	C₂²	—	212	4	no	—
1863	C₂²	—	212	4	no	—
1864	C₂²	#16811458	1	2	yes	—
1865	C₂²	#16811459	1	2	yes	—
1866	C₂²	#16811459	1	2	yes	—
1867	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1868	C₄	—	2	2	no	—
1869	C₄	—	2	2	no	—
1870	C₄	—	2	2	no	—
1871	C₄	—	2	2	no	—
1872	C₄	—	2	2	no	—
1873	C₄	—	2	2	no	—
1874	C₄	—	2	2	no	—
1875	C₄	—	2	2	no	—
1876	C₄	—	2	2	no	—
1877	C₄	—	2	2	no	—
1878	C₄	—	2	2	no	—
1879	C₄	—	106	2	no	—
1880	C₄	—	106	2	no	—
1881	C₄	—	106	2	no	—
1882	C₄	—	106	2	no	—
1883	C₄	—	106	2	no	—
1884	C₄	—	106	2	no	—
1885	C₄	—	106	2	no	—
1886	C₄	—	106	2	no	—
1887	C₄	—	106	2	no	—
1888	C₄	—	106	2	no	—
1889	C₄	—	106	2	no	—
1890	C₄	—	106	2	no	—
1891	C₄	—	106	2	no	—
1892	C₂	—	4	2	no	—
1893	C₂	—	4	2	no	—
1894	C₂	—	4	2	no	—
1895	C₂	—	4	2	no	—
1896	C₂	—	212	2	no	—
1897	C₂	—	212	2	no	—
1898	C₂	—	212	2	no	—
1899	C₂	#20289368	1	4	yes	direct product factor
1900	C₂	C₂×#16811458	1	1	yes	characteristic
1901	C₂	C₂×#16811459	1	1	yes	characteristic
1902	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×#553	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#553	D₅₃
hypocenter	C₅₃	C₂×#3566
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #20289368	C₂	direct (N × H)
2. C₂×#16811375	C₂	semidirect
3. C₂×#16811368	C₂	semidirect
4. C₂×#16811368	C₂	semidirect
5. C₂×#16811361	C₂	semidirect
6. C₂×#16811357	C₂	semidirect
7. C₂×#16811343	C₂	semidirect
8. C₂×#16811337	C₂	semidirect
9. C₂×#16811323	C₂	semidirect
10. C₂×#16811322	C₂	semidirect
11. C₂×#16811308	C₂	semidirect
12. C₂×#16811306	C₂	semidirect
13. C₂×#16811305	C₂	semidirect
14. C₂×#16811302	C₂	semidirect
15. C₂×#16811298	C₂	semidirect
16. C₂×#16811296	C₂	semidirect
17. C₂×#16811244	C₂	semidirect
18. C₂×#16811239	C₂	semidirect
19. C₂×#16811238	C₂	semidirect
20. C₂×#16811232	C₂	semidirect
21. C₂×#16811230	C₂	semidirect
22. C₂×#16811226	C₂	semidirect
23. C₂×#16811220	C₂	semidirect
24. C₂×#16811218	C₂	semidirect
25. C₂×#16811216	C₂	semidirect
26. C₂×#16811206	C₂	semidirect
27. C₂×#16811205	C₂	semidirect
28. C₂×#16811205	C₂	semidirect
29. C₂×#16811153	C₂	semidirect
30. C₂×#16811153	C₂	semidirect
31. C₂×#16811150	C₂	semidirect
32. C₂×C₅₃×#553	C₂	semidirect
33. #16811375	C₂²	semidirect
34. #16811368	C₂²	semidirect
35. #16811368	C₂²	semidirect
36. #16811361	C₂²	semidirect
37. #16811357	C₂²	semidirect
38. #16811343	C₂²	semidirect
39. #16811337	C₂²	semidirect
40. #16811323	C₂²	semidirect
41. #16811322	C₂²	semidirect
42. #16811308	C₂²	semidirect
43. #16811306	C₂²	semidirect
44. #16811305	C₂²	semidirect
45. #16811302	C₂²	semidirect
46. #16811298	C₂²	semidirect
47. #16811296	C₂²	semidirect
48. #16811244	C₂²	semidirect
49. #16811239	C₂²	semidirect
50. #16811238	C₂²	semidirect
51. #16811232	C₂²	semidirect
52. #16811230	C₂²	semidirect
53. #16811226	C₂²	semidirect
54. #16811220	C₂²	semidirect
55. #16811218	C₂²	semidirect
56. #16811216	C₂²	semidirect
57. #16811206	C₂²	semidirect
58. #16811205	C₂²	semidirect
59. #16811205	C₂²	semidirect
60. C₂×#13133217	C₂²	semidirect
61. C₂×#13133216	C₂²	semidirect
62. C₂×#13133216	C₂²	semidirect
64. #16811153	C₂²	semidirect
65. #16811153	C₂²	semidirect
66. #16811150	C₂²	semidirect
74. C₂×#13133212	C₂²	semidirect
81. C₂×#13133210	C₂²	semidirect
82. C₂×#13133210	C₂²	semidirect
83. C₂×#13133210	C₂²	semidirect
84. C₂×#13133210	C₂²	semidirect
85. C₂×#13133209	C₂²	semidirect
86. C₂×#13133208	C₂²	semidirect
87. C₂×#13133208	C₂²	semidirect
88. C₂×#13133207	C₂²	semidirect
89. C₂×#13133207	C₂²	semidirect
90. C₂×#13133207	C₂²	semidirect
91. C₂×#13133207	C₂²	semidirect
92. C₂×#13133207	C₂²	semidirect
93. C₂×#13133207	C₂²	semidirect
94. C₂×#13133207	C₂²	semidirect
95. C₂×#13133207	C₂²	semidirect
99. C₂×#13133204	C₂²	semidirect
106. C₂×#13133203	C₂²	semidirect
107. C₂×#13133203	C₂²	semidirect
114. C₂×#13133201	C₂²	semidirect
120. C₂×#13133200	C₂²	semidirect
124. C₂×#13133199	C₂²	semidirect
128. C₂×#13133198	C₂²	semidirect
129. C₂×#13133198	C₂²	semidirect
133. C₂×#13133196	C₂²	semidirect
134. C₂×#13133196	C₂²	semidirect
135. C₂×#13133196	C₂²	semidirect
140. C₂×#13133195	C₂²	semidirect
141. C₂×#13133195	C₂²	semidirect
144. C₂×#13133194	C₂²	semidirect
145. C₂×#13133194	C₂²	semidirect
146. C₂×#13133194	C₂²	semidirect
147. C₂×#13133194	C₂²	semidirect
157. C₂×#13133189	C₂²	semidirect
161. C₂×#13133188	C₂²	semidirect
166. C₂×C₄×Dic₁₀₆	C₂²	semidirect
167. C₂×C₄×Dic₁₀₆	C₂²	semidirect
168. C₂×C₄×Dic₁₀₆	C₂²	semidirect
169. C₂×#13133182	C₂²	semidirect
170. C₂×#13133182	C₂²	semidirect
171. C₂×#13133182	C₂²	semidirect
174. C₂×D₄×Dic₅₃	C₂²	semidirect
180. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
185. C₂×#13133177	C₂²	semidirect
187. C₂×#13133176	C₂²	semidirect
188. C₂×#13133176	C₂²	semidirect
191. C₂×#13133175	C₂²	semidirect
194. C₂×#13133174	C₂²	semidirect
196. C₂×#13133173	C₂²	semidirect
197. C₂²×#11719919	C₂²	semidirect
198. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
202. C₂²×C₄×Dic₅₃	C₂²	semidirect
203. C₅₃×#553	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
206. C₂×#125×C₅₃	C₂²	semidirect
208. C₂×#123×C₅₃	C₂²	semidirect
212. C₂×#121×C₅₃	C₂²	semidirect
215. C₂×C₄×D₄×C₅₃	C₂²	semidirect
216. C₂×C₄×D₄×C₅₃	C₂²	semidirect
217. C₂×#117×C₅₃	C₂²	semidirect
218. C₂²×C₄⋊C₄×C₅₃	C₂²	semidirect
250. #13133217	C₂³	semidirect
251. #13133216	C₂³	semidirect
252. #13133216	C₂³	semidirect
261. #13133212	C₂³	semidirect
268. #13133210	C₂³	semidirect
269. #13133210	C₂³	semidirect
270. #13133210	C₂³	semidirect
271. #13133210	C₂³	semidirect
272. #13133209	C₂³	semidirect
273. #13133208	C₂³	semidirect
274. #13133208	C₂³	semidirect
275. #13133207	C₂³	semidirect
276. #13133207	C₂³	semidirect
277. #13133207	C₂³	semidirect
278. #13133207	C₂³	semidirect
279. #13133207	C₂³	semidirect
280. #13133207	C₂³	semidirect
281. #13133207	C₂³	semidirect
282. #13133207	C₂³	semidirect
286. #13133204	C₂³	semidirect
293. #13133203	C₂³	semidirect
294. #13133203	C₂³	semidirect
301. #13133201	C₂³	semidirect
307. #13133200	C₂³	semidirect
311. #13133199	C₂³	semidirect
315. #13133198	C₂³	semidirect
316. #13133198	C₂³	semidirect
320. #13133196	C₂³	semidirect
321. #13133196	C₂³	semidirect
322. #13133196	C₂³	semidirect
327. #13133195	C₂³	semidirect
328. #13133195	C₂³	semidirect
331. #13133194	C₂³	semidirect
332. #13133194	C₂³	semidirect
333. #13133194	C₂³	semidirect
334. #13133194	C₂³	semidirect
344. #13133189	C₂³	semidirect
348. #13133188	C₂³	semidirect
353. C₄×Dic₁₀₆	C₂³	semidirect
354. C₄×Dic₁₀₆	C₂³	semidirect
355. C₄×Dic₁₀₆	C₂³	semidirect
356. #13133182	C₂³	semidirect
357. #13133182	C₂³	semidirect
358. #13133182	C₂³	semidirect
361. D₄×Dic₅₃	C₂³	semidirect
367. C₄×C₂²⋊D₅₃	C₂³	semidirect
368. C₄×C₂²⋊D₅₃	C₂³	semidirect
372. #13133177	C₂³	semidirect
374. #13133176	C₂³	semidirect
375. #13133176	C₂³	semidirect
378. #13133175	C₂³	semidirect
381. #13133174	C₂³	semidirect
383. #13133173	C₂³	semidirect
422. C₂×#11719919	C₂³	semidirect
423. C₄⋊C₄×D₅₃	C₂³	semidirect
478. C₂×C₄×Dic₅₃	C₂³	semidirect
492. #126×C₅₃	C₂³	semidirect
493. #125×C₅₃	C₂³	semidirect
495. #123×C₅₃	C₂³	semidirect
499. #121×C₅₃	C₂³	semidirect
502. C₄×D₄×C₅₃	C₂³	semidirect
503. C₄×D₄×C₅₃	C₂³	semidirect
504. #117×C₅₃	C₂³	semidirect
515. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
951. C₂×#553	D₅₃	semidirect
977. C₂×C₅₃	#3566	semidirect
993. #553	C₂×D₅₃	semidirect
1038. C₂×#126	C₂×D₅₃	semidirect
1050. C₂×#125	C₂×D₅₃	semidirect
1086. C₂×#123	C₂×D₅₃	semidirect
1122. C₂×#121	C₂×D₅₃	semidirect
1149. C₂×C₄×D₄	C₂×D₅₃	semidirect
1150. C₂×C₄×D₄	C₂×D₅₃	semidirect
1162. C₂×#117	C₂×D₅₃	semidirect
1165. C₂²×C₄⋊C₄	C₂×D₅₃	semidirect
1170. C₅₃	C₂×#3566	semidirect
1237. #126	C₂²×D₅₃	semidirect
1249. #125	C₂²×D₅₃	semidirect
1285. #123	C₂²×D₅₃	semidirect
1321. #121	C₂²×D₅₃	semidirect
1348. C₄×D₄	C₂²×D₅₃	semidirect
1349. C₄×D₄	C₂²×D₅₃	semidirect
1361. #117	C₂²×D₅₃	semidirect
1412. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1899. C₂	#20289368	direct (N × H)

Maximal subgroups

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

subgroup	index
#20289368	2
C₂×#16811375	2
C₂×#16811368	2
C₂×#16811361	2
C₂×#16811357	2
C₂×#16811343	2
C₂×#16811337	2
C₂×#16811323	2
C₂×#16811322	2
C₂×#16811308	2
C₂×#16811306	2
C₂×#16811305	2
C₂×#16811302	2
C₂×#16811298	2
C₂×#16811296	2
C₂×#16811244	2
C₂×#16811239	2
C₂×#16811238	2
C₂×#16811232	2
C₂×#16811230	2
C₂×#16811226	2
C₂×#16811220	2
C₂×#16811218	2
C₂×#16811216	2
C₂×#16811206	2
C₂×#16811205	2
C₂×#16811153	2
C₂×#16811150	2
C₂×C₅₃×#553	2
C₂×#3566	53

Subgroups — C2×#20289368 #28291635

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20289368 #28291635