Subgroups — #20288864

Order 6784.

1336 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#16811365	C₂	1	1	yes	maximal, characteristic, complemented
2	#16811363	C₂	1	1	yes	maximal, characteristic, complemented
3	#16811361	C₂	1	1	yes	maximal, characteristic, complemented
4	#16811361	C₂	1	1	yes	maximal, characteristic, complemented
5	#16811300	C₂	1	1	yes	maximal, characteristic, complemented
6	#16811299	C₂	1	1	yes	maximal, characteristic, complemented
7	#16811296	C₂	1	1	yes	maximal, characteristic, complemented
8	#16811269	C₂	1	1	yes	maximal, characteristic, complemented
9	#16811268	C₂	1	1	yes	maximal, characteristic, complemented
10	#16811263	C₂	1	1	yes	maximal, characteristic, complemented
11	#16811261	C₂	1	1	yes	maximal, characteristic, complemented
12	#16811260	C₂	1	1	yes	maximal, characteristic, complemented
13	#16811257	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₂²⋊D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#16811255	C₂	1	1	yes	maximal, characteristic, complemented
16	#16811213	C₂	1	1	yes	maximal, characteristic, complemented
17	#16811210	C₂	1	1	yes	maximal, characteristic, complemented
18	#16811209	C₂	1	1	yes	maximal, characteristic, complemented
19	#16811207	C₂	1	1	yes	maximal, characteristic, complemented
20	#16811206	C₂	1	1	yes	maximal, characteristic, complemented
21	#16811206	C₂	1	1	yes	maximal, characteristic, complemented
22	#16811189	C₂	1	1	yes	maximal, characteristic, complemented
23	#16811188	C₂	1	1	yes	maximal, characteristic, complemented
24	#16811187	C₂	1	1	yes	maximal, characteristic, complemented
25	#16811185	C₂	1	1	yes	maximal, characteristic, complemented
26	#16811184	C₂	1	1	yes	maximal, characteristic, complemented
27	#16811181	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133187	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#13133185	C₂	1	1	yes	maximal, characteristic, complemented
30	#120×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₅₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×#11719945	C₂²	1	1	yes	characteristic, complemented
34	C₂×#11719947	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
46	#13133213	C₂²	1	1	yes	characteristic, complemented
47	#13133213	C₂²	1	1	yes	characteristic, complemented
48	#13133213	C₂²	1	1	yes	characteristic, complemented
49	#13133213	C₂²	1	1	yes	characteristic, complemented
50	#13133212	C₂²	1	1	yes	characteristic, complemented
51	#13133212	C₂²	1	1	yes	characteristic, complemented
52	#13133212	C₂²	1	1	yes	characteristic, complemented
53	#13133212	C₂²	1	1	yes	characteristic, complemented
54	#13133212	C₂²	1	1	yes	characteristic, complemented
55	#13133211	C₂²	1	1	yes	characteristic, complemented
56	#13133210	C₂²	1	1	yes	characteristic, complemented
57	#13133210	C₂²	1	1	yes	characteristic, complemented
58	#13133206	C₂²	1	1	yes	characteristic, complemented
59	#13133206	C₂²	1	1	yes	characteristic, complemented
60	#13133206	C₂²	1	1	yes	characteristic, complemented
61	#13133205	C₂²	1	1	yes	characteristic, complemented
62	#13133205	C₂²	1	1	yes	characteristic, complemented
63	#13133203	C₂²	1	1	yes	characteristic, complemented
64	#13133203	C₂²	1	1	yes	characteristic, complemented
65	#13133203	C₂²	1	1	yes	characteristic, complemented
66	#13133203	C₂²	1	1	yes	characteristic, complemented
67	#13133203	C₂²	1	1	yes	characteristic, complemented
68	#13133203	C₂²	1	1	yes	characteristic, complemented
69	#13133202	C₂²	1	1	yes	characteristic, complemented
70	#13133202	C₂²	1	1	yes	characteristic, complemented
71	#13133202	C₂²	1	1	yes	characteristic, complemented
72	#13133202	C₂²	1	1	yes	characteristic, complemented
73	#13133202	C₂²	1	1	yes	characteristic, complemented
74	#13133201	C₂²	1	1	yes	characteristic, complemented
75	#13133201	C₂²	1	1	yes	characteristic, complemented
76	#13133201	C₂²	1	1	yes	characteristic, complemented
77	#13133201	C₂²	1	1	yes	characteristic, complemented
78	#13133201	C₂²	1	1	yes	characteristic, complemented
79	#13133200	C₂²	1	1	yes	characteristic, complemented
80	#13133200	C₂²	1	1	yes	characteristic, complemented
81	#13133200	C₂²	1	1	yes	characteristic, complemented
82	#13133199	C₂²	1	1	yes	characteristic, complemented
83	#13133199	C₂²	1	1	yes	characteristic, complemented
84	#13133199	C₂²	1	1	yes	characteristic, complemented
85	#13133197	C₂²	1	1	yes	characteristic, complemented
86	#13133196	C₂²	1	1	yes	characteristic, complemented
87	#13133194	C₂²	1	1	yes	characteristic, complemented
88	#13133194	C₂²	1	1	yes	characteristic, complemented
89	#13133193	C₂²	1	1	yes	characteristic, complemented
90	#13133192	C₂²	1	1	yes	characteristic, complemented
91	#13133192	C₂²	1	1	yes	characteristic, complemented
92	#13133192	C₂²	1	1	yes	characteristic, complemented
93	#13133191	C₂²	1	1	yes	characteristic, complemented
94	#13133191	C₂²	1	1	yes	characteristic, complemented
95	#13133191	C₂²	1	1	yes	characteristic, complemented
96	#13133191	C₂²	1	1	yes	characteristic, complemented
97	#13133191	C₂²	1	1	yes	characteristic, complemented
98	#13133191	C₂²	1	1	yes	characteristic, complemented
99	#13133191	C₂²	1	1	yes	characteristic, complemented
100	#13133191	C₂²	1	1	yes	characteristic, complemented
101	#13133190	C₂²	1	1	yes	characteristic, complemented
102	#13133190	C₂²	1	1	yes	characteristic, complemented
103	#13133190	C₂²	1	1	yes	characteristic, complemented
104	#13133190	C₂²	1	1	yes	characteristic, complemented
105	#13133190	C₂²	1	1	yes	characteristic, complemented
106	#13133190	C₂²	1	1	yes	characteristic, complemented
107	#13133190	C₂²	1	1	yes	characteristic, complemented
108	#13133189	C₂²	1	1	yes	characteristic, complemented
109	#13133189	C₂²	1	1	yes	characteristic, complemented
110	#13133189	C₂²	1	1	yes	characteristic, complemented
111	#13133189	C₂²	1	1	yes	characteristic, complemented
112	#13133189	C₂²	1	1	yes	characteristic, complemented
113	#13133189	C₂²	1	1	yes	characteristic, complemented
114	#13133189	C₂²	1	1	yes	characteristic, complemented
115	#13133188	C₂²	1	1	yes	characteristic, complemented
116	#13133188	C₂²	1	1	yes	characteristic, complemented
117	#13133187	C₂²	1	1	yes	characteristic
118	#13133187	C₂²	1	1	yes	characteristic, complemented
119	#13133187	C₂²	1	1	yes	characteristic, complemented
120	#13133187	C₂²	1	1	yes	characteristic, complemented
121	#13133187	C₂²	1	1	yes	characteristic, complemented
122	#13133187	C₂²	1	1	yes	characteristic, complemented
123	#13133187	C₂²	1	1	yes	characteristic, complemented
124	#13133187	C₂²	1	1	yes	characteristic, complemented
125	#13133187	C₂²	1	1	yes	characteristic, complemented
126	#13133187	C₂²	1	1	yes	characteristic, complemented
127	#13133187	C₂²	1	1	yes	characteristic, complemented
128	#13133187	C₂²	1	1	yes	characteristic, complemented
129	#13133187	C₂²	1	1	yes	characteristic, complemented
130	#13133187	C₂²	1	1	yes	characteristic, complemented
131	#13133187	C₂²	1	1	yes	characteristic, complemented
132	#13133186	C₂²	1	1	yes	characteristic
133	#13133186	C₂²	1	1	yes	characteristic, complemented
134	#13133185	C₂²	1	1	yes	characteristic
135	#13133185	C₂²	1	1	yes	characteristic, complemented
136	#13133185	C₂²	1	1	yes	characteristic, complemented
137	#13133185	C₂²	1	1	yes	characteristic, complemented
138	#13133185	C₂²	1	1	yes	characteristic, complemented
139	#13133185	C₂²	1	1	yes	characteristic, complemented
140	#13133185	C₂²	1	1	yes	characteristic, complemented
141	#13133185	C₂²	1	1	yes	characteristic, complemented
142	#13133185	C₂²	1	1	yes	characteristic, complemented
143	#13133185	C₂²	1	1	yes	characteristic, complemented
144	#13133185	C₂²	1	1	yes	characteristic, complemented
145	#13133185	C₂²	1	1	yes	characteristic, complemented
146	#13133185	C₂²	1	1	yes	characteristic, complemented
147	#13133185	C₂²	1	1	yes	characteristic, complemented
148	#13133185	C₂²	1	1	yes	characteristic, complemented
149	C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
150	D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
151	D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
152	#13133179	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
156	#13133177	C₂²	1	1	yes	characteristic, complemented
157	#13133177	C₂²	1	1	yes	characteristic, complemented
158	#13133177	C₂²	1	1	yes	characteristic, complemented
159	#13133176	C₂²	1	1	yes	characteristic, complemented
160	#13133175	C₂²	1	1	yes	characteristic, complemented
161	#13133173	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
163	C₂×#11719921	C₂²	1	1	yes	characteristic, complemented
164	C₂×#11719921	C₂²	1	1	yes	characteristic, complemented
165	C₂×#11719921	C₂²	1	1	yes	characteristic, complemented
166	C₂×#11719921	C₂²	1	1	yes	characteristic, complemented
167	C₂×#11719921	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
172	C₂×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
173	C₂²×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
174	#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
175	#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
176	#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
177	C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
178	#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
179	#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
180	#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
181	#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
182	#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₅₃	C₂³	1	1	yes	characteristic
188	C₂⁴×C₅₃	C₂³	1	1	yes	characteristic
189	C₂³×D₅₃	—	4	2	no	—
190	C₂³×D₅₃	—	4	2	no	—
191	C₂³×D₅₃	—	4	2	no	—
192	C₂³×D₅₃	C₂³	1	1	yes	characteristic
193	C₂³×D₅₃	C₂³	1	1	yes	characteristic
194	C₂³×D₅₃	C₂³	1	1	yes	characteristic
195	C₂³×D₅₃	C₂³	1	1	yes	characteristic
196	C₂³×D₅₃	C₂³	1	1	yes	characteristic
197	C₂³×D₅₃	C₂³	1	1	yes	characteristic
198	C₂³×D₅₃	C₂³	1	1	yes	characteristic
199	C₂³×D₅₃	C₂³	1	1	yes	characteristic
200	C₂³×D₅₃	C₂³	1	1	yes	characteristic, complemented
201	#41×C₅₃	—	4	2	no	—
202	C₂×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
203	C₂×D₄×C₅₃	—	4	2	no	—
204	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
205	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
206	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
208	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
210	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
212	C₂×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
213	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
217	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
218	C₂²×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
219	C₂×C₂²⋊D₅₃	—	4	2	no	—
220	C₂×C₂²⋊D₅₃	—	4	2	no	—
221	C₂×C₂²⋊D₅₃	—	4	2	no	—
222	C₂×C₂²⋊D₅₃	—	4	2	no	—
223	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
243	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
247	C₂²×Dic₅₃	C₂³	1	1	yes	characteristic
248	C₂²×Dic₅₃	C₂³	1	1	yes	characteristic
249	C₂²×Dic₅₃	C₂³	1	1	yes	characteristic
250	C₂²×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
251	C₂²×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
252	#11719947	—	4	2	no	—
253	D₄×D₅₃	—	4	2	no	—
254	D₄×D₅₃	—	4	2	no	—
255	D₄×D₅₃	—	4	2	no	—
256	D₄×D₅₃	—	4	2	no	—
257	D₄×D₅₃	—	4	2	no	—
258	#11719945	—	4	2	no	—
259	C₂×D₂₁₂	—	4	2	no	—
260	C₂×D₂₁₂	—	4	2	no	—
261	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
262	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
263	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
264	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
265	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
266	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
267	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
268	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
269	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
270	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
271	C₂×D₂₁₂	C₂³	1	1	yes	characteristic
272	C₂×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
273	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
277	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
278	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
279	C₂×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
280	C₂×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
281	C₂×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
282	C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
283	C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
284	C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
285	C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
286	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
287	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
288	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
289	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
290	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
291	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
292	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
293	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
294	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
295	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
296	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
297	C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
298	C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
299	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
300	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
301	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
302	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
303	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
304	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
305	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
306	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
307	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
308	C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
309	#11719921	C₂³	1	1	yes	characteristic
310	#11719921	C₂³	1	1	yes	characteristic
311	#11719921	C₂³	1	1	yes	characteristic
312	#11719921	C₂³	1	1	yes	characteristic
313	#11719921	C₂³	1	1	yes	characteristic
314	#11719921	C₂³	1	1	yes	characteristic
315	#11719921	C₂³	1	1	yes	characteristic
316	#11719921	C₂³	1	1	yes	characteristic
317	#11719921	C₂³	1	1	yes	characteristic
318	#11719921	C₂³	1	1	yes	characteristic
319	#11719921	C₂³	1	1	yes	characteristic
320	#11719921	C₂³	1	1	yes	characteristic
321	#11719921	C₂³	1	1	yes	characteristic
322	#11719921	C₂³	1	1	yes	characteristic
323	#11719921	C₂³	1	1	yes	characteristic
324	#11719921	C₂³	1	1	yes	characteristic
325	#11719921	C₂³	1	1	yes	characteristic
326	#11719921	C₂³	1	1	yes	characteristic
327	#11719921	C₂³	1	1	yes	characteristic
328	#11719921	C₂³	1	1	yes	characteristic
329	#11719921	C₂³	1	1	yes	characteristic
330	#11719921	C₂³	1	1	yes	characteristic
331	#11719921	C₂³	1	1	yes	characteristic, complemented
332	#11719921	C₂³	1	1	yes	characteristic, complemented
333	#11719921	C₂³	1	1	yes	characteristic, complemented
334	#11719921	C₂³	1	1	yes	characteristic, complemented
335	#11719921	C₂³	1	1	yes	characteristic, complemented
336	#11719921	C₂³	1	1	yes	characteristic, complemented
337	#11719921	C₂³	1	1	yes	characteristic, complemented
338	#11719921	C₂³	1	1	yes	characteristic, complemented
339	#11719921	C₂³	1	1	yes	characteristic, complemented
340	#11719921	C₂³	1	1	yes	characteristic, complemented
341	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
342	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
343	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
344	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
345	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
346	C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
347	#11719919	C₂³	1	1	yes	characteristic, complemented
348	#11719919	C₂³	1	1	yes	characteristic, complemented
349	#11719919	C₂³	1	1	yes	characteristic, complemented
350	#11719919	C₂³	1	1	yes	characteristic, complemented
351	#11719919	C₂³	1	1	yes	characteristic, complemented
352	#11719919	C₂³	1	1	yes	characteristic, complemented
353	#11719919	C₂³	1	1	yes	characteristic, complemented
354	#11719919	C₂³	1	1	yes	characteristic, complemented
355	C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
356	C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
357	C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
358	C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
359	C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
360	C₂³×C₅₃	—	2	2	no	—
361	C₂³×C₅₃	—	2	2	no	—
362	C₂³×C₅₃	—	2	2	no	—
363	C₂³×C₅₃	—	4	1	no	—
364	C₂³×C₅₃	—	4	1	no	—
365	C₂³×C₅₃	—	4	1	no	—
366	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
367	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
368	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
369	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
370	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
371	C₂³×C₅₃	C₂⁴	1	1	yes	characteristic
372	C₂²×D₅₃	—	2	2	no	—
373	C₂²×D₅₃	—	2	2	no	—
374	C₂²×D₅₃	—	2	2	no	—
375	C₂²×D₅₃	—	2	2	no	—
376	C₂²×D₅₃	—	2	2	no	—
377	C₂²×D₅₃	—	2	2	no	—
378	C₂²×D₅₃	—	2	2	no	—
379	C₂²×D₅₃	—	2	2	no	—
380	C₂²×D₅₃	—	2	2	no	—
381	C₂²×D₅₃	—	4	1	no	—
382	C₂²×D₅₃	—	4	1	no	—
383	C₂²×D₅₃	—	4	1	no	—
384	C₂²×D₅₃	—	4	1	no	—
385	C₂²×D₅₃	—	4	1	no	—
386	C₂²×D₅₃	—	4	1	no	—
387	C₂²×D₅₃	—	4	1	no	—
388	C₂²×D₅₃	—	4	1	no	—
389	C₂²×D₅₃	—	4	1	no	—
390	C₂²×D₅₃	—	4	1	no	—
391	C₂²×D₅₃	—	4	1	no	—
392	C₂²×D₅₃	—	4	1	no	—
393	C₂²×D₅₃	—	4	1	no	—
394	C₂²×D₅₃	—	4	1	no	—
395	C₂²×D₅₃	—	4	1	no	—
396	C₂²×D₅₃	—	4	1	no	—
397	C₂²×D₅₃	—	4	1	no	—
398	C₂²×D₅₃	—	4	1	no	—
399	C₂²×D₅₃	—	4	16	no	—
400	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
401	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
402	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
403	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
404	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
405	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
406	C₂²×D₅₃	C₂⁴	1	1	yes	characteristic
407	Q₈×C₅₃	—	4	1	no	—
408	D₄×C₅₃	—	2	2	no	—
409	D₄×C₅₃	—	2	2	no	—
410	D₄×C₅₃	—	2	2	no	—
411	D₄×C₅₃	—	2	2	no	—
412	D₄×C₅₃	—	4	1	no	—
413	D₄×C₅₃	—	4	1	no	—
414	D₄×C₅₃	—	4	1	no	—
415	D₄×C₅₃	—	4	1	no	—
416	D₄×C₅₃	—	4	1	no	—
417	C₂×C₄×C₅₃	—	2	2	no	—
418	C₂×C₄×C₅₃	—	4	1	no	—
419	C₂×C₄×C₅₃	—	4	1	no	—
420	C₂×C₄×C₅₃	—	4	1	no	—
421	C₂×C₄×C₅₃	—	4	1	no	—
422	C₂×C₄×C₅₃	—	4	1	no	—
423	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
425	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
430	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
432	C₂²⋊D₅₃	—	2	2	no	—
433	C₂²⋊D₅₃	—	2	2	no	—
434	C₂²⋊D₅₃	—	2	2	no	—
435	C₂²⋊D₅₃	—	2	2	no	—
436	C₂²⋊D₅₃	—	2	2	no	—
437	C₂²⋊D₅₃	—	2	2	no	—
438	C₂²⋊D₅₃	—	4	1	no	—
439	C₂²⋊D₅₃	—	4	1	no	—
440	C₂²⋊D₅₃	—	4	1	no	—
441	C₂²⋊D₅₃	—	4	1	no	—
442	C₂²⋊D₅₃	—	4	1	no	—
443	C₂²⋊D₅₃	—	4	1	no	—
444	C₂²⋊D₅₃	—	4	1	no	—
445	C₂²⋊D₅₃	—	4	1	no	—
446	C₂²⋊D₅₃	—	4	1	no	—
447	C₂²⋊D₅₃	—	4	1	no	—
448	C₂²⋊D₅₃	—	4	1	no	—
449	C₂²⋊D₅₃	—	4	1	no	—
450	C₂²⋊D₅₃	—	4	1	no	—
451	C₂²⋊D₅₃	—	4	1	no	—
452	C₂²⋊D₅₃	—	4	1	no	—
453	C₂²⋊D₅₃	—	4	1	no	—
454	C₂²⋊D₅₃	—	4	1	no	—
455	C₂²⋊D₅₃	—	4	1	no	—
456	C₂×Dic₅₃	—	2	2	no	—
457	C₂×Dic₅₃	—	4	1	no	—
458	C₂×Dic₅₃	—	4	1	no	—
459	C₂×Dic₅₃	—	4	1	no	—
460	C₂×Dic₅₃	—	4	1	no	—
461	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
462	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
463	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
464	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
465	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
466	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
467	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
468	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
469	C₂×Dic₅₃	C₂⁴	1	1	yes	characteristic
470	D₂₁₂	—	2	2	no	—
471	D₂₁₂	—	2	2	no	—
472	D₂₁₂	—	4	1	no	—
473	D₂₁₂	—	4	1	no	—
474	D₂₁₂	—	4	1	no	—
475	D₂₁₂	—	4	1	no	—
476	D₂₁₂	—	4	1	no	—
477	D₂₁₂	—	4	1	no	—
478	D₂₁₂	—	4	1	no	—
479	D₂₁₂	—	4	1	no	—
480	D₂₁₂	—	4	1	no	—
481	D₂₁₂	—	4	1	no	—
482	C₄×D₅₃	—	2	2	no	—
483	C₄×D₅₃	—	4	1	no	—
484	C₄×D₅₃	—	4	1	no	—
485	C₄×D₅₃	—	4	1	no	—
486	C₄×D₅₃	—	4	1	no	—
487	C₄×D₅₃	—	4	1	no	—
488	C₄×D₅₃	—	4	1	no	—
489	Dic₁₀₆	—	4	1	no	—
490	Dic₁₀₆	—	4	1	no	—
491	C₂²×C₅₃	—	2	1	no	—
492	C₂²×C₅₃	—	2	1	no	—
493	C₂²×C₅₃	—	2	1	no	—
494	C₂²×C₅₃	—	2	1	no	—
495	C₂²×C₅₃	—	2	1	no	—
496	C₂²×C₅₃	—	2	1	no	—
497	C₂²×C₅₃	—	2	1	no	—
498	C₂²×C₅₃	—	2	1	no	—
499	C₂²×C₅₃	—	2	1	no	—
500	C₂²×C₅₃	—	2	1	no	—
501	C₂²×C₅₃	—	2	1	no	—
502	C₂²×C₅₃	—	2	1	no	—
503	C₂²×C₅₃	—	2	1	no	—
504	C₂²×C₅₃	—	2	1	no	—
505	C₂²×C₅₃	—	2	1	no	—
506	C₂²×C₅₃	—	2	1	no	—
507	C₂²×C₅₃	—	4	4	no	—
508	C₂²×C₅₃	—	8	2	no	—
509	C₂²×C₅₃	H(5,𝔽₂)	1	2	yes	—
510	C₂²×C₅₃	H(5,𝔽₂)	1	2	yes	—
511	C₂²×C₅₃	C₂⁵	1	1	yes	characteristic
512	C₂×D₅₃	—	2	1	no	—
513	C₂×D₅₃	—	2	1	no	—
514	C₂×D₅₃	—	2	1	no	—
515	C₂×D₅₃	—	2	1	no	—
516	C₂×D₅₃	—	2	1	no	—
517	C₂×D₅₃	—	2	1	no	—
518	C₂×D₅₃	—	2	1	no	—
519	C₂×D₅₃	—	2	1	no	—
520	C₂×D₅₃	—	2	1	no	—
521	C₂×D₅₃	—	2	1	no	—
522	C₂×D₅₃	—	2	1	no	—
523	C₂×D₅₃	—	2	1	no	—
524	C₂×D₅₃	—	2	1	no	—
525	C₂×D₅₃	—	2	1	no	—
526	C₂×D₅₃	—	2	1	no	—
527	C₂×D₅₃	—	2	1	no	—
528	C₂×D₅₃	—	2	1	no	—
529	C₂×D₅₃	—	2	1	no	—
530	C₂×D₅₃	—	2	1	no	—
531	C₂×D₅₃	—	2	1	no	—
532	C₂×D₅₃	—	4	4	no	—
533	C₂×D₅₃	—	4	4	no	—
534	C₂×D₅₃	—	4	4	no	—
535	C₂×D₅₃	—	4	4	no	—
536	C₂×D₅₃	—	4	4	no	—
537	C₂×D₅₃	—	4	4	no	—
538	C₂×D₅₃	—	8	2	no	—
539	C₂×D₅₃	—	8	2	no	—
540	C₂×D₅₃	—	8	2	no	—
541	C₂×D₅₃	H(5,𝔽₂)	1	2	yes	—
542	C₄×C₅₃	—	2	1	no	—
543	C₄×C₅₃	—	2	1	no	—
544	C₄×C₅₃	—	2	1	no	—
545	C₄×C₅₃	—	2	1	no	—
546	C₄×C₅₃	—	2	1	no	—
547	C₄×C₅₃	—	2	1	no	—
548	C₄×C₅₃	—	2	1	no	—
549	C₄×C₅₃	—	2	1	no	—
550	C₄×C₅₃	—	2	1	no	—
551	Dic₅₃	—	2	1	no	—
552	Dic₅₃	—	2	1	no	—
553	Dic₅₃	—	2	1	no	—
554	Dic₅₃	—	2	1	no	—
555	Dic₅₃	—	2	1	no	—
556	Dic₅₃	—	2	1	no	—
557	Dic₅₃	—	2	1	no	—
558	Dic₅₃	—	2	1	no	—
559	Dic₅₃	—	2	1	no	—
560	#3532	—	53	1	no	maximal, Sylow
561	C₂×C₅₃	—	2	2	no	—
562	C₂×C₅₃	—	2	2	no	—
563	C₂×C₅₃	—	4	1	no	—
564	C₂×C₅₃	—	4	1	no	—
565	C₂×C₅₃	—	4	1	no	—
566	C₂×C₅₃	—	4	1	no	—
567	C₂×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
568	C₂×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
569	C₂×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
570	D₅₃	—	2	2	no	—
571	D₅₃	—	4	1	no	—
572	D₅₃	—	4	1	no	—
573	D₅₃	—	4	1	no	—
574	D₅₃	—	4	1	no	—
575	D₅₃	—	4	1	no	—
576	D₅₃	—	4	1	no	—
577	H(3,𝔽₄)	—	53	1	no	—
578	#560	—	53	1	no	—
579	#560	—	53	1	no	—
580	#560	—	53	1	no	—
581	#551	—	53	1	no	—
582	#551	—	53	1	no	—
583	#551	—	53	1	no	—
584	#546	—	53	1	no	—
585	#546	—	53	1	no	—
586	#546	—	53	1	no	—
587	#546	—	53	1	no	—
588	#546	—	53	1	no	—
589	#546	D₅₃	1	1	yes	characteristic, complemented
590	D₄²	—	53	1	no	—
591	D₄²	—	53	1	no	—
592	D₄²	—	53	1	no	—
593	#538	—	53	1	no	—
594	#538	—	53	1	no	—
595	#538	—	53	1	no	—
596	#538	—	53	1	no	—
597	#538	—	53	1	no	—
598	#538	—	53	1	no	—
599	#535	—	53	1	no	—
600	#535	—	53	1	no	—
601	#535	—	53	1	no	—
602	#534	—	53	1	no	—
603	#534	—	53	1	no	—
604	#534	—	53	1	no	—
605	C₂×#120	—	53	1	no	—
606	C₂×#120	—	53	1	no	—
607	C₂×#120	—	53	1	no	—
608	C₅₃	#3532	1	1	yes	characteristic, complemented, Sylow
609	C₂⁵	—	53	1	no	—
610	C₂×#41	—	53	1	no	—
611	C₂×#41	—	53	1	no	—
612	C₂×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
613	C₂²×D₄	—	53	1	no	—
614	C₂²×D₄	—	53	1	no	—
615	C₂²×D₄	—	53	1	no	—
616	C₂²×D₄	—	53	1	no	—
617	C₂²×D₄	—	53	1	no	—
618	C₂²×D₄	—	53	1	no	—
619	C₂²×D₄	—	53	1	no	—
620	C₂²×D₄	—	53	1	no	—
621	C₂²×D₄	—	53	1	no	—
622	C₂²×D₄	—	53	1	no	—
623	C₂²×D₄	—	53	1	no	—
624	C₂²×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
625	#127	—	53	1	no	—
626	#127	—	53	1	no	—
627	#127	—	53	1	no	—
628	#127	—	53	1	no	—
629	#126	—	53	1	no	—
630	#126	—	53	1	no	—
631	#126	—	53	1	no	—
632	#126	—	53	1	no	—
633	#126	—	53	1	no	—
634	#126	—	53	1	no	—
635	#126	—	53	1	no	—
636	#126	—	53	1	no	—
637	#124	—	53	1	no	—
638	#124	—	53	1	no	—
639	#124	—	53	1	no	—
640	#124	—	53	1	no	—
641	#124	—	53	1	no	—
642	#124	—	53	1	no	—
643	#124	—	53	1	no	—
644	#124	—	53	1	no	—
645	#124	—	53	1	no	—
646	#124	—	53	1	no	—
647	#124	—	53	1	no	—
648	#124	C₂×D₅₃	1	1	yes	characteristic, complemented
649	#123	—	53	1	no	—
650	#123	—	53	1	no	—
651	#123	—	53	1	no	—
652	#123	—	53	1	no	—
653	#123	—	53	1	no	—
654	#123	—	53	1	no	—
655	#123	—	53	1	no	—
656	#123	—	53	1	no	—
657	#123	—	53	1	no	—
658	#123	—	53	1	no	—
659	#123	—	53	1	no	—
660	#123	—	53	1	no	—
661	#123	—	53	1	no	—
662	#123	—	53	1	no	—
663	#123	—	53	1	no	—
664	#123	—	53	1	no	—
665	#123	C₂×D₅₃	1	1	yes	characteristic, complemented
666	#123	C₂×D₅₃	1	1	yes	characteristic, complemented
667	C₂²⋊Q₈	—	53	1	no	—
668	C₂²⋊Q₈	—	53	1	no	—
669	C₂²⋊Q₈	—	53	1	no	—
670	C₂²⋊Q₈	—	53	1	no	—
671	C₂²⋊Q₈	—	53	1	no	—
672	C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
673	#121	—	53	1	no	—
674	#121	—	53	1	no	—
675	#121	—	53	1	no	—
676	#121	—	53	1	no	—
677	#121	—	53	1	no	—
678	#121	—	53	1	no	—
679	#121	—	53	1	no	—
680	#121	—	53	1	no	—
681	#121	—	53	1	no	—
682	#121	—	53	1	no	—
683	#121	—	53	1	no	—
684	#121	—	53	1	no	—
685	#121	—	53	1	no	—
686	#121	—	53	1	no	—
687	#121	—	53	1	no	—
688	#121	—	53	1	no	—
689	#121	—	53	1	no	—
690	#121	—	53	1	no	—
691	#121	—	53	1	no	—
692	#121	—	53	1	no	—
693	#121	—	53	1	no	—
694	#121	—	53	1	no	—
695	#121	—	53	1	no	—
696	#121	—	53	1	no	—
697	#121	—	53	1	no	—
698	#121	—	53	1	no	—
699	#121	—	53	1	no	—
700	#121	C₂×D₅₃	1	1	yes	characteristic, complemented
701	#121	C₂×D₅₃	1	1	yes	characteristic, complemented
702	#121	C₂×D₅₃	1	1	yes	characteristic, complemented
703	#120	—	53	1	no	—
704	#120	—	53	1	no	—
705	#120	—	53	1	no	—
706	#120	—	53	1	no	—
707	#120	—	53	1	no	—
708	#120	—	53	1	no	—
709	#120	—	53	1	no	—
710	#120	—	53	1	no	—
711	#120	—	53	1	no	—
712	#120	—	53	1	no	—
713	#120	—	53	1	no	—
714	#120	—	53	1	no	—
715	#120	—	53	1	no	—
716	#120	—	53	1	no	—
717	#120	—	53	1	no	—
718	#120	—	53	1	no	—
719	#120	—	53	1	no	—
720	#120	—	53	1	no	—
721	#120	—	53	1	no	—
722	#120	—	53	1	no	—
723	#120	—	53	1	no	—
724	#120	—	53	1	no	—
725	#120	—	53	1	no	—
726	#120	—	53	1	no	—
727	#120	—	53	1	no	—
728	#120	—	53	1	no	—
729	#120	—	53	1	no	—
730	#120	—	53	1	no	—
731	#120	—	53	1	no	—
732	#120	—	53	1	no	—
733	#120	—	53	1	no	—
734	#120	—	53	1	no	—
735	#120	C₂×D₅₃	1	1	yes	characteristic, complemented
736	#120	C₂×D₅₃	1	1	yes	characteristic, complemented
737	C₄×D₄	—	53	1	no	—
738	C₄×D₄	—	53	1	no	—
739	C₄×D₄	—	53	1	no	—
740	C₄×D₄	—	53	1	no	—
741	C₄×D₄	—	53	1	no	—
742	C₄×D₄	—	53	1	no	—
743	C₄×D₄	—	53	1	no	—
744	C₄×D₄	—	53	1	no	—
745	C₄×D₄	—	53	1	no	—
746	C₄×D₄	—	53	1	no	—
747	C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
748	C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
749	#117	—	53	1	no	—
750	#117	—	53	1	no	—
751	#117	—	53	1	no	—
752	C₂×C₂²⋊C₄	—	53	1	no	—
753	C₂×C₂²⋊C₄	—	53	1	no	—
754	C₂×C₂²⋊C₄	—	53	1	no	—
755	C₂×C₂²⋊C₄	—	53	1	no	—
756	C₂×C₂²⋊C₄	—	53	1	no	—
757	C₂×C₂²⋊C₄	—	53	1	no	—
758	C₂×C₂²⋊C₄	—	53	1	no	—
759	C₂×C₂²⋊C₄	—	53	1	no	—
760	C₂×C₂²⋊C₄	—	53	1	no	—
761	C₂×C₂²⋊C₄	—	53	1	no	—
762	C₂×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
763	C₂×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
764	C₂⁴	—	53	1	no	—
765	C₂⁴	—	53	1	no	—
766	C₂⁴	—	53	1	no	—
767	C₂⁴	—	53	1	no	—
768	C₂⁴	—	53	1	no	—
769	C₂⁴	—	53	1	no	—
770	C₂⁴	—	53	1	no	—
771	C₂⁴	—	53	1	no	—
772	C₂⁴	—	53	1	no	—
773	C₂⁴	—	212	2	no	—
774	C₂⁴	—	212	2	no	—
775	C₂⁴	—	212	2	no	—
776	C₂⁴	C₂²×D₅₃	1	1	yes	characteristic
777	C₂⁴	C₂²×D₅₃	1	1	yes	characteristic
778	#41	—	4	2	no	—
779	#41	—	212	2	no	—
780	#41	—	212	2	no	—
781	C₂×Q₈	—	53	1	no	—
782	C₂×Q₈	—	53	1	no	—
783	C₂×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
784	C₂×D₄	—	4	2	no	—
785	C₂×D₄	—	53	1	no	—
786	C₂×D₄	—	53	1	no	—
787	C₂×D₄	—	53	1	no	—
788	C₂×D₄	—	53	1	no	—
789	C₂×D₄	—	53	1	no	—
790	C₂×D₄	—	53	1	no	—
791	C₂×D₄	—	53	1	no	—
792	C₂×D₄	—	53	1	no	—
793	C₂×D₄	—	53	1	no	—
794	C₂×D₄	—	53	1	no	—
795	C₂×D₄	—	53	1	no	—
796	C₂×D₄	—	53	1	no	—
797	C₂×D₄	—	53	1	no	—
798	C₂×D₄	—	53	1	no	—
799	C₂×D₄	—	53	1	no	—
800	C₂×D₄	—	53	1	no	—
801	C₂×D₄	—	53	1	no	—
802	C₂×D₄	—	53	1	no	—
803	C₂×D₄	—	53	1	no	—
804	C₂×D₄	—	53	1	no	—
805	C₂×D₄	—	53	1	no	—
806	C₂×D₄	—	53	1	no	—
807	C₂×D₄	—	53	1	no	—
808	C₂×D₄	—	53	1	no	—
809	C₂×D₄	—	53	1	no	—
810	C₂×D₄	—	53	1	no	—
811	C₂×D₄	—	53	1	no	—
812	C₂×D₄	—	53	1	no	—
813	C₂×D₄	—	53	1	no	—
814	C₂×D₄	—	53	1	no	—
815	C₂×D₄	—	53	1	no	—
816	C₂×D₄	—	53	1	no	—
817	C₂×D₄	—	53	1	no	—
818	C₂×D₄	—	53	1	no	—
819	C₂×D₄	—	53	1	no	—
820	C₂×D₄	—	53	1	no	—
821	C₂×D₄	—	212	2	no	—
822	C₂×D₄	—	212	2	no	—
823	C₂×D₄	—	212	2	no	—
824	C₂×D₄	—	212	2	no	—
825	C₂×D₄	—	212	2	no	—
826	C₂×D₄	—	212	2	no	—
827	C₂×D₄	—	212	2	no	—
828	C₂×D₄	—	212	2	no	—
829	C₂×D₄	—	212	2	no	—
830	C₂×D₄	—	212	2	no	—
831	C₂×D₄	—	212	2	no	—
832	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
833	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
834	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
835	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
836	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
837	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
838	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic
839	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
840	C₂×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
841	C₂²×C₄	—	53	1	no	—
842	C₂²×C₄	—	53	1	no	—
843	C₂²×C₄	—	53	1	no	—
844	C₂²×C₄	—	53	1	no	—
845	C₂²×C₄	—	53	1	no	—
846	C₂²×C₄	—	53	1	no	—
847	C₂²×C₄	—	53	1	no	—
848	C₂²×C₄	—	53	1	no	—
849	C₂²×C₄	—	53	1	no	—
850	C₂²×C₄	—	53	1	no	—
851	C₂²×C₄	—	53	1	no	—
852	C₂²×C₄	—	53	1	no	—
853	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic
854	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic
855	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic
856	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
857	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
858	C₂²×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
859	C₄⋊C₄	—	53	1	no	—
860	C₄⋊C₄	—	53	1	no	—
861	C₄⋊C₄	—	53	1	no	—
862	C₄⋊C₄	—	53	1	no	—
863	C₄⋊C₄	—	53	1	no	—
864	C₄⋊C₄	—	53	1	no	—
865	C₄⋊C₄	—	53	1	no	—
866	C₄⋊C₄	—	53	1	no	—
867	C₄⋊C₄	—	53	1	no	—
868	C₄⋊C₄	—	53	1	no	—
869	C₄⋊C₄	—	53	1	no	—
870	C₄⋊C₄	—	53	1	no	—
871	C₄⋊C₄	—	53	1	no	—
872	C₄⋊C₄	—	53	1	no	—
873	C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
874	C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
875	C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
876	C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
877	C₂²⋊C₄	—	53	1	no	—
878	C₂²⋊C₄	—	53	1	no	—
879	C₂²⋊C₄	—	53	1	no	—
880	C₂²⋊C₄	—	53	1	no	—
881	C₂²⋊C₄	—	53	1	no	—
882	C₂²⋊C₄	—	53	1	no	—
883	C₂²⋊C₄	—	53	1	no	—
884	C₂²⋊C₄	—	53	1	no	—
885	C₂²⋊C₄	—	53	1	no	—
886	C₂²⋊C₄	—	53	1	no	—
887	C₂²⋊C₄	—	53	1	no	—
888	C₂²⋊C₄	—	53	1	no	—
889	C₂²⋊C₄	—	53	1	no	—
890	C₂²⋊C₄	—	53	1	no	—
891	C₂²⋊C₄	—	53	1	no	—
892	C₂²⋊C₄	—	53	1	no	—
893	C₂²⋊C₄	—	53	1	no	—
894	C₂²⋊C₄	—	53	1	no	—
895	C₂²⋊C₄	—	53	1	no	—
896	C₂²⋊C₄	—	53	1	no	—
897	C₂²⋊C₄	—	53	1	no	—
898	C₂²⋊C₄	—	53	1	no	—
899	C₂²⋊C₄	—	53	1	no	—
900	C₂²⋊C₄	—	53	1	no	—
901	C₂²⋊C₄	—	53	1	no	—
902	C₂²⋊C₄	—	53	1	no	—
903	C₂²⋊C₄	—	53	1	no	—
904	C₂²⋊C₄	—	53	1	no	—
905	C₂²⋊C₄	—	53	1	no	—
906	C₂²⋊C₄	—	53	1	no	—
907	C₂²⋊C₄	—	53	1	no	—
908	C₂²⋊C₄	—	53	1	no	—
909	C₂²⋊C₄	—	53	1	no	—
910	C₂²⋊C₄	—	53	1	no	—
911	C₂²⋊C₄	—	53	1	no	—
912	C₂²⋊C₄	—	53	1	no	—
913	C₂²⋊C₄	—	53	1	no	—
914	C₂²⋊C₄	—	53	1	no	—
915	C₂²⋊C₄	—	53	1	no	—
916	C₂²⋊C₄	—	53	1	no	—
917	C₂²⋊C₄	—	53	1	no	—
918	C₂²⋊C₄	—	53	1	no	—
919	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
920	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
921	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
922	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
923	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
924	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
925	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
926	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
927	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
928	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
929	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
930	C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
931	C₄²	—	53	1	no	—
932	C₄²	—	53	1	no	—
933	C₄²	—	53	1	no	—
934	C₄²	—	53	1	no	—
935	C₄²	—	53	1	no	—
936	C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	4	1	no	—
941	C₂³	—	4	1	no	—
942	C₂³	—	4	1	no	—
943	C₂³	—	53	1	no	—
944	C₂³	—	53	1	no	—
945	C₂³	—	53	1	no	—
946	C₂³	—	53	1	no	—
947	C₂³	—	53	1	no	—
948	C₂³	—	53	1	no	—
949	C₂³	—	53	1	no	—
950	C₂³	—	106	2	no	—
951	C₂³	—	106	2	no	—
952	C₂³	—	106	2	no	—
953	C₂³	—	106	2	no	—
954	C₂³	—	106	2	no	—
955	C₂³	—	106	2	no	—
956	C₂³	—	106	2	no	—
957	C₂³	—	106	2	no	—
958	C₂³	—	106	2	no	—
959	C₂³	—	212	1	no	—
960	C₂³	—	212	1	no	—
961	C₂³	—	212	1	no	—
962	C₂³	—	212	1	no	—
963	C₂³	—	212	1	no	—
964	C₂³	—	212	1	no	—
965	C₂³	—	212	1	no	—
966	C₂³	—	212	1	no	—
967	C₂³	—	212	1	no	—
968	C₂³	—	212	1	no	—
969	C₂³	—	212	1	no	—
970	C₂³	—	212	1	no	—
971	C₂³	—	212	1	no	—
972	C₂³	—	212	1	no	—
973	C₂³	—	212	1	no	—
974	C₂³	—	212	1	no	—
975	C₂³	—	212	1	no	—
976	C₂³	—	212	1	no	—
977	C₂³	—	212	16	no	—
978	C₂³	C₂³×D₅₃	1	1	yes	characteristic
979	C₂³	C₂³×D₅₃	1	1	yes	characteristic
980	C₂³	C₂³×D₅₃	1	1	yes	characteristic
981	C₂³	C₂³×D₅₃	1	1	yes	characteristic
982	C₂³	C₂³×D₅₃	1	1	yes	characteristic
983	C₂³	C₂³×D₅₃	1	1	yes	characteristic
984	Q₈	—	4	1	no	—
985	Q₈	—	212	1	no	—
986	Q₈	—	212	1	no	—
987	D₄	—	2	2	no	—
988	D₄	—	2	2	no	—
989	D₄	—	2	2	no	—
990	D₄	—	2	2	no	—
991	D₄	—	4	1	no	—
992	D₄	—	4	1	no	—
993	D₄	—	4	1	no	—
994	D₄	—	4	1	no	—
995	D₄	—	4	1	no	—
996	D₄	—	106	2	no	—
997	D₄	—	106	2	no	—
998	D₄	—	106	2	no	—
999	D₄	—	106	2	no	—
1000	D₄	—	106	2	no	—
1001	D₄	—	106	2	no	—
1002	D₄	—	106	2	no	—
1003	D₄	—	106	2	no	—
1004	D₄	—	212	1	no	—
1005	D₄	—	212	1	no	—
1006	D₄	—	212	1	no	—
1007	D₄	—	212	1	no	—
1008	D₄	—	212	1	no	—
1009	D₄	—	212	1	no	—
1010	D₄	—	212	1	no	—
1011	D₄	—	212	1	no	—
1012	D₄	—	212	1	no	—
1013	D₄	—	212	1	no	—
1014	D₄	—	212	1	no	—
1015	D₄	—	212	1	no	—
1016	D₄	—	212	1	no	—
1017	D₄	—	212	1	no	—
1018	D₄	—	212	1	no	—
1019	D₄	—	212	1	no	—
1020	D₄	—	212	1	no	—
1021	D₄	—	212	1	no	—
1022	D₄	—	212	1	no	—
1023	D₄	—	212	1	no	—
1024	D₄	—	212	1	no	—
1025	D₄	—	212	1	no	—
1026	D₄	—	212	1	no	—
1027	D₄	—	212	1	no	—
1028	D₄	—	212	1	no	—
1029	D₄	—	212	1	no	—
1030	D₄	—	212	1	no	—
1031	D₄	—	212	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	1	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	1	no	—
1038	C₂×C₄	—	53	1	no	—
1039	C₂×C₄	—	53	1	no	—
1040	C₂×C₄	—	53	1	no	—
1041	C₂×C₄	—	53	1	no	—
1042	C₂×C₄	—	53	1	no	—
1043	C₂×C₄	—	53	1	no	—
1044	C₂×C₄	—	53	1	no	—
1045	C₂×C₄	—	53	1	no	—
1046	C₂×C₄	—	53	1	no	—
1047	C₂×C₄	—	106	2	no	—
1048	C₂×C₄	—	106	2	no	—
1049	C₂×C₄	—	212	1	no	—
1050	C₂×C₄	—	212	1	no	—
1051	C₂×C₄	—	212	1	no	—
1052	C₂×C₄	—	212	1	no	—
1053	C₂×C₄	—	212	1	no	—
1054	C₂×C₄	—	212	1	no	—
1055	C₂×C₄	—	212	1	no	—
1056	C₂×C₄	—	212	1	no	—
1057	C₂×C₄	—	212	1	no	—
1058	C₂×C₄	—	212	1	no	—
1059	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1060	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1061	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1062	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1063	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1064	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1065	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1066	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1067	C₂×C₄	C₂³×D₅₃	1	1	yes	characteristic
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	4	4	no	—
1085	C₂²	—	8	2	no	—
1086	C₂²	—	53	2	no	—
1087	C₂²	—	106	1	no	—
1088	C₂²	—	106	1	no	—
1089	C₂²	—	106	1	no	—
1090	C₂²	—	106	1	no	—
1091	C₂²	—	106	1	no	—
1092	C₂²	—	106	1	no	—
1093	C₂²	—	106	1	no	—
1094	C₂²	—	106	1	no	—
1095	C₂²	—	106	1	no	—
1096	C₂²	—	106	1	no	—
1097	C₂²	—	106	1	no	—
1098	C₂²	—	106	1	no	—
1099	C₂²	—	106	1	no	—
1100	C₂²	—	106	1	no	—
1101	C₂²	—	106	1	no	—
1102	C₂²	—	106	1	no	—
1103	C₂²	—	106	1	no	—
1104	C₂²	—	106	1	no	—
1105	C₂²	—	106	1	no	—
1106	C₂²	—	106	1	no	—
1107	C₂²	—	424	2	no	—
1108	C₂²	—	424	2	no	—
1109	C₂²	—	424	2	no	—
1110	C₂²	—	212	4	no	—
1111	C₂²	—	212	4	no	—
1112	C₂²	—	212	4	no	—
1113	C₂²	—	212	4	no	—
1114	C₂²	—	212	4	no	—
1115	C₂²	—	212	4	no	—
1116	C₂²	#13133262	1	2	yes	—
1117	C₂²	#13133263	1	2	yes	—
1118	C₂²	C₂⁴×D₅₃	1	1	yes	characteristic
1119	C₄	—	2	1	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	106	1	no	—
1129	C₄	—	106	1	no	—
1130	C₄	—	106	1	no	—
1131	C₄	—	106	1	no	—
1132	C₄	—	106	1	no	—
1133	C₄	—	106	1	no	—
1134	C₄	—	106	1	no	—
1135	C₄	—	106	1	no	—
1136	C₄	—	106	1	no	—
1137	C₂	—	2	2	no	—
1138	C₂	—	2	2	no	—
1139	C₂	—	4	1	no	—
1140	C₂	—	4	1	no	—
1141	C₂	—	4	1	no	—
1142	C₂	—	4	1	no	—
1143	C₂	—	106	2	no	—
1144	C₂	—	212	1	no	—
1145	C₂	—	212	1	no	—
1146	C₂	—	212	1	no	—
1147	C₂	—	212	1	no	—
1148	C₂	—	212	1	no	—
1149	C₂	—	212	1	no	—
1150	C₂	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1151	C₂	C₂×#13133262	1	1	yes	characteristic
1152	C₂	C₂×#13133263	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₅₃
commutator, socle	C₂²×C₅₃	C₂⁵
Fitting	C₅₃×#546	C₂
hypercenter	#546	D₅₃
hypocenter	C₅₃	#3532
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. #16811365	C₂	semidirect
2. #16811363	C₂	semidirect
3. #16811361	C₂	semidirect
4. #16811361	C₂	semidirect
5. #16811300	C₂	semidirect
6. #16811299	C₂	semidirect
7. #16811296	C₂	semidirect
8. #16811269	C₂	semidirect
9. #16811268	C₂	semidirect
10. #16811263	C₂	semidirect
11. #16811261	C₂	semidirect
12. #16811260	C₂	semidirect
13. #16811257	C₂	semidirect
14. D₄×C₂²⋊D₅₃	C₂	semidirect
15. #16811255	C₂	semidirect
16. #16811213	C₂	semidirect
17. #16811210	C₂	semidirect
18. #16811209	C₂	semidirect
19. #16811207	C₂	semidirect
20. #16811206	C₂	semidirect
21. #16811206	C₂	semidirect
22. #16811189	C₂	semidirect
23. #16811188	C₂	semidirect
24. #16811187	C₂	semidirect
25. #16811185	C₂	semidirect
26. #16811184	C₂	semidirect
27. #16811181	C₂	semidirect
28. C₂×#13133187	C₂	semidirect
29. C₂×#13133185	C₂	semidirect
30. #120×D₅₃	C₂	semidirect
31. C₅₃×#546	C₂	semidirect
32. C₂⁴×D₅₃	C₂²	semidirect
33. C₂×#11719945	C₂²	semidirect
34. C₂×#11719947	C₂²	semidirect
35. C₂²×D₂₁₂	C₂²	semidirect
36. C₂²×D₂₁₂	C₂²	semidirect
37. C₂²×C₂²⋊D₅₃	C₂²	semidirect
38. C₂²×C₂²⋊D₅₃	C₂²	semidirect
39. C₂²×C₂²⋊D₅₃	C₂²	semidirect
40. C₂²×C₂²⋊D₅₃	C₂²	semidirect
41. C₂×D₄×D₅₃	C₂²	semidirect
42. C₂×D₄×D₅₃	C₂²	semidirect
43. C₂×D₄×D₅₃	C₂²	semidirect
44. C₂×D₄×D₅₃	C₂²	semidirect
45. C₂×D₄×D₅₃	C₂²	semidirect
46. #13133213	C₂²	semidirect
47. #13133213	C₂²	semidirect
48. #13133213	C₂²	semidirect
49. #13133213	C₂²	semidirect
50. #13133212	C₂²	semidirect
51. #13133212	C₂²	semidirect
52. #13133212	C₂²	semidirect
53. #13133212	C₂²	semidirect
54. #13133212	C₂²	semidirect
55. #13133211	C₂²	semidirect
56. #13133210	C₂²	semidirect
57. #13133210	C₂²	semidirect
58. #13133206	C₂²	semidirect
59. #13133206	C₂²	semidirect
60. #13133206	C₂²	semidirect
61. #13133205	C₂²	semidirect
62. #13133205	C₂²	semidirect
63. #13133203	C₂²	semidirect
64. #13133203	C₂²	semidirect
65. #13133203	C₂²	semidirect
66. #13133203	C₂²	semidirect
67. #13133203	C₂²	semidirect
68. #13133203	C₂²	semidirect
69. #13133202	C₂²	semidirect
70. #13133202	C₂²	semidirect
71. #13133202	C₂²	semidirect
72. #13133202	C₂²	semidirect
73. #13133202	C₂²	semidirect
74. #13133201	C₂²	semidirect
75. #13133201	C₂²	semidirect
76. #13133201	C₂²	semidirect
77. #13133201	C₂²	semidirect
78. #13133201	C₂²	semidirect
79. #13133200	C₂²	semidirect
80. #13133200	C₂²	semidirect
81. #13133200	C₂²	semidirect
82. #13133199	C₂²	semidirect
83. #13133199	C₂²	semidirect
84. #13133199	C₂²	semidirect
85. #13133197	C₂²	semidirect
86. #13133196	C₂²	semidirect
87. #13133194	C₂²	semidirect
88. #13133194	C₂²	semidirect
89. #13133193	C₂²	semidirect
90. #13133192	C₂²	semidirect
91. #13133192	C₂²	semidirect
92. #13133192	C₂²	semidirect
93. #13133191	C₂²	semidirect
94. #13133191	C₂²	semidirect
95. #13133191	C₂²	semidirect
96. #13133191	C₂²	semidirect
97. #13133191	C₂²	semidirect
98. #13133191	C₂²	semidirect
99. #13133191	C₂²	semidirect
100. #13133191	C₂²	semidirect
101. #13133190	C₂²	semidirect
102. #13133190	C₂²	semidirect
103. #13133190	C₂²	semidirect
104. #13133190	C₂²	semidirect
105. #13133190	C₂²	semidirect
106. #13133190	C₂²	semidirect
107. #13133190	C₂²	semidirect
108. #13133189	C₂²	semidirect
109. #13133189	C₂²	semidirect
110. #13133189	C₂²	semidirect
111. #13133189	C₂²	semidirect
112. #13133189	C₂²	semidirect
113. #13133189	C₂²	semidirect
114. #13133189	C₂²	semidirect
115. #13133188	C₂²	semidirect
116. #13133188	C₂²	semidirect
118. #13133187	C₂²	semidirect
119. #13133187	C₂²	semidirect
120. #13133187	C₂²	semidirect
121. #13133187	C₂²	semidirect
122. #13133187	C₂²	semidirect
123. #13133187	C₂²	semidirect
124. #13133187	C₂²	semidirect
125. #13133187	C₂²	semidirect
126. #13133187	C₂²	semidirect
127. #13133187	C₂²	semidirect
128. #13133187	C₂²	semidirect
129. #13133187	C₂²	semidirect
130. #13133187	C₂²	semidirect
131. #13133187	C₂²	semidirect
133. #13133186	C₂²	semidirect
135. #13133185	C₂²	semidirect
136. #13133185	C₂²	semidirect
137. #13133185	C₂²	semidirect
138. #13133185	C₂²	semidirect
139. #13133185	C₂²	semidirect
140. #13133185	C₂²	semidirect
141. #13133185	C₂²	semidirect
142. #13133185	C₂²	semidirect
143. #13133185	C₂²	semidirect
144. #13133185	C₂²	semidirect
145. #13133185	C₂²	semidirect
146. #13133185	C₂²	semidirect
147. #13133185	C₂²	semidirect
148. #13133185	C₂²	semidirect
149. C₄×D₂₁₂	C₂²	semidirect
150. D₄×Dic₅₃	C₂²	semidirect
151. D₄×Dic₅₃	C₂²	semidirect
152. #13133179	C₂²	semidirect
153. C₄×C₂²⋊D₅₃	C₂²	semidirect
154. C₄×C₂²⋊D₅₃	C₂²	semidirect
155. C₄×C₂²⋊D₅₃	C₂²	semidirect
156. #13133177	C₂²	semidirect
157. #13133177	C₂²	semidirect
158. #13133177	C₂²	semidirect
159. #13133176	C₂²	semidirect
160. #13133175	C₂²	semidirect
161. #13133173	C₂²	semidirect
162. C₂×C₂²⋊Dic₅₃	C₂²	semidirect
163. C₂×#11719921	C₂²	semidirect
164. C₂×#11719921	C₂²	semidirect
165. C₂×#11719921	C₂²	semidirect
166. C₂×#11719921	C₂²	semidirect
167. C₂×#11719921	C₂²	semidirect
168. C₂²⋊C₄×D₅₃	C₂²	semidirect
169. C₂²⋊C₄×D₅₃	C₂²	semidirect
170. C₂²⋊C₄×D₅₃	C₂²	semidirect
171. C₂²⋊C₄×D₅₃	C₂²	semidirect
172. C₂×#41×C₅₃	C₂²	semidirect
173. C₂²×D₄×C₅₃	C₂²	semidirect
174. #124×C₅₃	C₂²	semidirect
175. #123×C₅₃	C₂²	semidirect
176. #123×C₅₃	C₂²	semidirect
177. C₂²⋊Q₈×C₅₃	C₂²	semidirect
178. #121×C₅₃	C₂²	semidirect
179. #121×C₅₃	C₂²	semidirect
180. #121×C₅₃	C₂²	semidirect
181. #120×C₅₃	C₂²	semidirect
182. #120×C₅₃	C₂²	semidirect
183. C₄×D₄×C₅₃	C₂²	semidirect
184. C₄×D₄×C₅₃	C₂²	semidirect
185. C₂×C₂²⋊C₄×C₅₃	C₂²	semidirect
186. C₂×C₂²⋊C₄×C₅₃	C₂²	semidirect
200. C₂³×D₅₃	C₂³	semidirect
202. C₂×Q₈×C₅₃	C₂³	semidirect
211. C₂×D₄×C₅₃	C₂³	semidirect
212. C₂×D₄×C₅₃	C₂³	semidirect
216. C₂²×C₄×C₅₃	C₂³	semidirect
217. C₂²×C₄×C₅₃	C₂³	semidirect
218. C₂²×C₄×C₅₃	C₂³	semidirect
241. C₂×C₂²⋊D₅₃	C₂³	semidirect
242. C₂×C₂²⋊D₅₃	C₂³	semidirect
243. C₂×C₂²⋊D₅₃	C₂³	semidirect
244. C₂×C₂²⋊D₅₃	C₂³	semidirect
245. C₂×C₂²⋊D₅₃	C₂³	semidirect
246. C₂×C₂²⋊D₅₃	C₂³	semidirect
250. C₂²×Dic₅₃	C₂³	semidirect
251. C₂²×Dic₅₃	C₂³	semidirect
272. C₂×D₂₁₂	C₂³	semidirect
276. C₂×C₄×D₅₃	C₂³	semidirect
277. C₂×C₄×D₅₃	C₂³	semidirect
278. C₂×C₄×D₅₃	C₂³	semidirect
279. C₂×C₄×D₅₃	C₂³	semidirect
280. C₂×Dic₁₀₆	C₂³	semidirect
281. C₂×Dic₁₀₆	C₂³	semidirect
282. C₄⋊C₄×C₅₃	C₂³	semidirect
283. C₄⋊C₄×C₅₃	C₂³	semidirect
284. C₄⋊C₄×C₅₃	C₂³	semidirect
285. C₄⋊C₄×C₅₃	C₂³	semidirect
293. C₂²⋊C₄×C₅₃	C₂³	semidirect
294. C₂²⋊C₄×C₅₃	C₂³	semidirect
295. C₂²⋊C₄×C₅₃	C₂³	semidirect
296. C₂²⋊C₄×C₅₃	C₂³	semidirect
297. C₂²⋊C₄×C₅₃	C₂³	semidirect
298. C₄²×C₅₃	C₂³	semidirect
306. C₂²⋊Dic₅₃	C₂³	semidirect
307. C₂²⋊Dic₅₃	C₂³	semidirect
308. C₂²⋊Dic₅₃	C₂³	semidirect
331. #11719921	C₂³	semidirect
332. #11719921	C₂³	semidirect
333. #11719921	C₂³	semidirect
334. #11719921	C₂³	semidirect
335. #11719921	C₂³	semidirect
336. #11719921	C₂³	semidirect
337. #11719921	C₂³	semidirect
338. #11719921	C₂³	semidirect
339. #11719921	C₂³	semidirect
340. #11719921	C₂³	semidirect
341. C₄⋊Dic₅₃	C₂³	semidirect
342. C₄⋊Dic₅₃	C₂³	semidirect
343. C₄⋊Dic₅₃	C₂³	semidirect
344. C₄⋊Dic₅₃	C₂³	semidirect
345. C₄⋊Dic₅₃	C₂³	semidirect
346. C₄⋊Dic₅₃	C₂³	semidirect
347. #11719919	C₂³	semidirect
348. #11719919	C₂³	semidirect
349. #11719919	C₂³	semidirect
350. #11719919	C₂³	semidirect
351. #11719919	C₂³	semidirect
352. #11719919	C₂³	semidirect
353. #11719919	C₂³	semidirect
354. #11719919	C₂³	semidirect
355. C₄×Dic₅₃	C₂³	semidirect
356. C₄×Dic₅₃	C₂³	semidirect
357. C₄×Dic₅₃	C₂³	semidirect
358. C₄×Dic₅₃	C₂³	semidirect
359. C₄×Dic₅₃	C₂³	semidirect
589. #546	D₅₃	semidirect
608. C₅₃	#3532	semidirect
612. C₂×#41	C₂×D₅₃	semidirect
624. C₂²×D₄	C₂×D₅₃	semidirect
648. #124	C₂×D₅₃	semidirect
665. #123	C₂×D₅₃	semidirect
666. #123	C₂×D₅₃	semidirect
672. C₂²⋊Q₈	C₂×D₅₃	semidirect
700. #121	C₂×D₅₃	semidirect
701. #121	C₂×D₅₃	semidirect
702. #121	C₂×D₅₃	semidirect
735. #120	C₂×D₅₃	semidirect
736. #120	C₂×D₅₃	semidirect
747. C₄×D₄	C₂×D₅₃	semidirect
748. C₄×D₄	C₂×D₅₃	semidirect
762. C₂×C₂²⋊C₄	C₂×D₅₃	semidirect
763. C₂×C₂²⋊C₄	C₂×D₅₃	semidirect
783. C₂×Q₈	C₂²×D₅₃	semidirect
839. C₂×D₄	C₂²×D₅₃	semidirect
840. C₂×D₄	C₂²×D₅₃	semidirect
856. C₂²×C₄	C₂²×D₅₃	semidirect
857. C₂²×C₄	C₂²×D₅₃	semidirect
858. C₂²×C₄	C₂²×D₅₃	semidirect
873. C₄⋊C₄	C₂²×D₅₃	semidirect
874. C₄⋊C₄	C₂²×D₅₃	semidirect
875. C₄⋊C₄	C₂²×D₅₃	semidirect
876. C₄⋊C₄	C₂²×D₅₃	semidirect
926. C₂²⋊C₄	C₂²×D₅₃	semidirect
927. C₂²⋊C₄	C₂²×D₅₃	semidirect
928. C₂²⋊C₄	C₂²×D₅₃	semidirect
929. C₂²⋊C₄	C₂²×D₅₃	semidirect
930. C₂²⋊C₄	C₂²×D₅₃	semidirect
936. C₄²	C₂²×D₅₃	semidirect