Subgroups — C₂×#20288343 #28291968

Order 13568.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13133262	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288343	C₂	1	32	yes	maximal, direct product factor
4	C₂×#16811270	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811269	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811268	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811267	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811262	C₂	1	2	yes	maximal, complemented
9	C₂×#16811260	C₂	1	2	yes	maximal, complemented
10	C₂×#16811258	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811257	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₄×C₂²⋊D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₄×C₂²⋊D₅₃	C₂	1	2	yes	maximal, complemented
14	C₂×#16811255	C₂	1	2	yes	maximal, complemented
15	C₂×#16811189	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811186	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811183	C₂	1	2	yes	maximal, complemented
18	C₂×#16811181	C₂	1	2	yes	maximal, complemented
19	C₂×#16811133	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811132	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#13133185	C₂	1	2	yes	maximal, complemented
22	C₂×#120×D₅₃	C₂	1	2	yes	maximal, complemented
23	C₂×#16811095	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₄²×C₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁵×D₅₃	C₂²	1	2	yes	complemented
26	C₂×#13133262	—	2	16	no	—
27	C₂×#13133262	C₂²	1	16	yes	complemented
28	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#11719947	C₂²	1	2	yes	complemented
33	C₂³×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
34	C₂³×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
35	C₂³×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
36	C₂³×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
37	C₂³×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
38	C₂²×D₄×D₅₃	—	2	16	no	—
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
41	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
43	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
46	C₂²×D₄×D₅₃	C₂²	1	16	yes	complemented
47	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
48	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
49	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
50	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
51	#16811270	C₂²	1	16	yes	complemented
52	#16811269	C₂²	1	16	yes	complemented
53	#16811268	C₂²	1	16	yes	complemented
54	#16811267	C₂²	1	16	yes	complemented
55	#16811262	C₂²	1	32	yes	complemented
56	#16811260	C₂²	1	32	yes	complemented
57	#16811258	C₂²	1	16	yes	complemented
58	#16811257	C₂²	1	16	yes	complemented
59	D₄×C₂²⋊D₅₃	C₂²	1	16	yes	complemented
60	D₄×C₂²⋊D₅₃	C₂²	1	32	yes	complemented
61	#16811255	C₂²	1	32	yes	complemented
62	#16811189	C₂²	1	16	yes	complemented
63	#16811186	C₂²	1	16	yes	complemented
64	#16811183	C₂²	1	32	yes	complemented
65	#16811181	C₂²	1	32	yes	complemented
66	C₂×#13133213	C₂²	1	2	yes	complemented
67	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13133203	C₂²	1	2	yes	complemented
71	#16811133	C₂²	1	16	yes	complemented
72	#16811132	C₂²	1	16	yes	complemented
73	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133202	C₂²	1	2	yes	complemented
75	C₂×#13133201	C₂²	1	2	yes	complemented
76	C₂×#13133199	C₂²	1	2	yes	complemented
77	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133199	C₂²	1	2	yes	complemented
79	C₂×#13133198	C₂²	1	2	yes	complemented
80	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133191	C₂²	1	2	yes	complemented
86	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133190	C₂²	1	2	yes	complemented
89	C₂×#13133190	C₂²	1	2	yes	complemented
90	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133189	C₂²	1	2	yes	complemented
92	C₂×#13133189	C₂²	1	2	yes	complemented
93	C₂×#13133189	C₂²	1	2	yes	complemented
94	C₂×#13133189	C₂²	1	2	yes	complemented
95	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133188	C₂²	1	2	yes	complemented
98	C₂×#13133188	C₂²	1	2	yes	complemented
99	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133187	C₂²	1	2	yes	complemented
101	C₂×#13133187	C₂²	1	2	yes	complemented
102	C₂×#13133187	C₂²	1	2	yes	complemented
103	C₂×#13133186	C₂²	1	2	yes	complemented
104	C₂×#13133186	C₂²	1	2	yes	complemented
105	C₂×#13133185	C₂²	1	2	yes	complemented
106	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133185	C₂²	1	2	yes	complemented
108	C₂×#13133185	C₂²	1	2	yes	complemented
109	C₂×#13133185	C₂²	1	2	yes	complemented
110	C₂×#13133185	C₂²	1	2	yes	complemented
111	C₂×#13133185	C₂²	1	2	yes	complemented
112	C₂×#13133185	C₂²	1	2	yes	complemented
113	C₂×#13133185	C₂²	1	2	yes	complemented
114	C₂×#13133185	C₂²	1	2	yes	complemented
115	C₂×#13133185	C₂²	1	2	yes	complemented
116	C₂×#13133185	C₂²	1	32	yes	complemented
117	#120×D₅₃	C₂²	1	32	yes	complemented
118	#16811095	C₂²	1	16	yes	complemented
119	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
121	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
122	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
127	C₂×#13133177	C₂²	1	2	yes	complemented
128	C₂×#13133177	C₂²	1	2	yes	complemented
129	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
131	C₂²×C₂²⋊Dic₅₃	C₂²	1	2	yes	complemented
132	C₂²×#11719921	C₂²	1	2	yes	complemented
133	C₂²×#11719921	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
135	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
136	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
137	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
138	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
139	C₂³×D₄×C₅₃	C₂²	1	2	yes	complemented
140	D₄²×C₅₃	C₂²	1	16	yes	complemented
141	C₂×#127×C₅₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
144	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
146	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
149	C₂⁴×D₅₃	—	2	16	no	—
150	C₂⁴×D₅₃	—	4	8	no	—
151	C₂⁴×D₅₃	—	4	8	no	—
152	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
153	C₂⁴×D₅₃	C₂³	1	2	yes	—
154	C₂⁴×D₅₃	C₂³	1	2	yes	—
155	C₂⁴×D₅₃	C₂³	1	2	yes	—
156	C₂⁴×D₅₃	C₂³	1	2	yes	—
157	C₂⁴×D₅₃	C₂³	1	2	yes	—
158	C₂⁴×D₅₃	C₂³	1	16	yes	complemented
159	C₂⁴×D₅₃	C₂³	1	2	yes	complemented
160	#13133262	—	2	128	no	—
161	C₂×#11719945	—	2	8	no	—
162	C₂×#11719945	—	2	8	no	—
163	C₂×#11719945	C₂³	1	8	yes	complemented
164	C₂×#11719945	C₂³	1	8	yes	complemented
165	C₂×#11719947	—	2	8	no	—
166	C₂×#11719947	—	2	16	no	—
167	C₂×#11719947	—	2	8	no	—
168	C₂×#11719947	C₂³	1	8	yes	complemented
169	C₂×#11719947	C₂³	1	16	yes	complemented
170	C₂×#11719947	C₂³	1	8	yes	complemented
171	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
172	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
173	C₂²×D₂₁₂	—	2	8	no	—
174	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
175	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
176	C₂²×D₂₁₂	C₂³	1	2	yes	—
177	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
178	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
179	C₂²×D₂₁₂	C₂³	1	8	yes	complemented
180	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
181	C₂²×C₂²⋊D₅₃	—	2	16	no	—
182	C₂²×C₂²⋊D₅₃	—	2	16	no	—
183	C₂²×C₂²⋊D₅₃	—	2	16	no	—
184	C₂²×C₂²⋊D₅₃	—	4	8	no	—
185	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
186	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
187	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
189	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
191	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
192	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
193	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
194	C₂²×C₂²⋊D₅₃	C₂³	1	16	yes	complemented
195	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
196	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
197	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
198	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
199	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
200	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
201	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
202	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
203	C₂²×C₂²⋊D₅₃	C₂³	1	16	yes	complemented
204	C₂²×C₂²⋊D₅₃	C₂³	1	16	yes	complemented
205	C₂²×C₂²⋊D₅₃	C₂³	1	16	yes	complemented
206	C₂×D₄×D₅₃	—	2	16	no	—
207	C₂×D₄×D₅₃	—	2	16	no	—
208	C₂×D₄×D₅₃	—	2	8	no	—
209	C₂×D₄×D₅₃	—	2	16	no	—
210	C₂×D₄×D₅₃	—	2	128	no	—
211	C₂×D₄×D₅₃	—	2	8	no	—
212	C₂×D₄×D₅₃	—	2	8	no	—
213	C₂×D₄×D₅₃	—	2	8	no	—
214	C₂×D₄×D₅₃	—	4	8	no	—
215	C₂×D₄×D₅₃	—	4	8	no	—
216	C₂×D₄×D₅₃	D₄	1	16	yes	complemented
217	C₂×D₄×D₅₃	C₂³	1	8	yes	—
218	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
219	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
220	C₂×D₄×D₅₃	C₂³	1	16	yes	complemented
221	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
222	C₂×D₄×D₅₃	C₂³	1	16	yes	complemented
223	C₂×D₄×D₅₃	C₂³	1	16	yes	complemented
224	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
225	C₂×D₄×D₅₃	C₂³	1	16	yes	complemented
226	C₂×D₄×D₅₃	C₂³	1	16	yes	complemented
227	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
228	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
229	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
230	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
231	C₂²×C₄×D₅₃	—	2	8	no	—
232	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
237	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
238	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
239	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
240	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
241	#13133213	C₂³	1	8	yes	complemented
242	#13133213	C₂³	1	16	yes	complemented
243	#13133205	C₂³	1	8	yes	complemented
244	#13133204	C₂³	1	8	yes	complemented
245	#13133203	C₂³	1	16	yes	complemented
246	#13133202	C₂³	1	8	yes	complemented
247	#13133202	C₂³	1	16	yes	complemented
248	#13133201	C₂³	1	16	yes	complemented
249	#13133199	C₂³	1	8	yes	complemented
250	#13133199	C₂³	1	16	yes	complemented
251	#13133199	C₂³	1	16	yes	complemented
252	#13133198	C₂³	1	16	yes	complemented
253	#13133197	C₂³	1	8	yes	complemented
254	#13133196	C₂³	1	8	yes	complemented
255	#13133195	C₂³	1	8	yes	complemented
256	#13133194	C₂³	1	8	yes	complemented
257	#13133192	C₂³	1	8	yes	complemented
258	#13133191	C₂³	1	8	yes	complemented
259	#13133191	C₂³	1	16	yes	complemented
260	#13133190	C₂³	1	8	yes	complemented
261	#13133190	C₂³	1	16	yes	complemented
262	#13133190	C₂³	1	16	yes	complemented
263	#13133189	C₂³	1	8	yes	complemented
264	#13133189	C₂³	1	16	yes	complemented
265	#13133189	C₂³	1	16	yes	complemented
266	#13133189	C₂³	1	16	yes	complemented
267	#13133189	C₂³	1	16	yes	complemented
268	#13133188	C₂³	1	8	yes	complemented
269	#13133188	C₂³	1	16	yes	complemented
270	#13133188	C₂³	1	16	yes	complemented
271	#13133188	C₂³	1	8	yes	complemented
272	#13133187	C₂³	1	8	yes	complemented
273	#13133187	C₂³	1	16	yes	complemented
274	#13133187	C₂³	1	16	yes	complemented
275	#13133187	C₂³	1	16	yes	complemented
276	#13133186	C₂³	1	16	yes	complemented
277	#13133186	C₂³	1	16	yes	complemented
278	#13133185	C₂³	1	16	yes	complemented
279	#13133185	C₂³	1	8	yes	complemented
280	#13133185	C₂³	1	16	yes	complemented
281	#13133185	C₂³	1	16	yes	complemented
282	#13133185	C₂³	1	16	yes	complemented
283	#13133185	C₂³	1	16	yes	complemented
284	#13133185	C₂³	1	16	yes	complemented
285	#13133185	C₂³	1	16	yes	complemented
286	#13133185	C₂³	1	16	yes	complemented
287	#13133185	C₂³	1	16	yes	complemented
288	#13133185	C₂³	1	16	yes	complemented
289	C₄×D₂₁₂	C₂³	1	8	yes	complemented
290	C₄×D₂₁₂	C₂³	1	8	yes	complemented
291	D₄×Dic₅₃	C₂³	1	16	yes	complemented
292	D₄×Dic₅₃	C₂³	1	8	yes	complemented
293	#13133179	C₂³	1	8	yes	complemented
294	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
295	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
296	C₄×C₂²⋊D₅₃	C₂³	1	16	yes	complemented
297	#13133177	C₂³	1	16	yes	complemented
298	#13133177	C₂³	1	16	yes	complemented
299	#13133175	C₂³	1	8	yes	complemented
300	#13133174	C₂³	1	8	yes	complemented
301	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
302	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
303	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
304	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
305	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
306	C₂×#11719919	C₂³	1	2	yes	complemented
307	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
308	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
309	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
310	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
312	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
313	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
314	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
315	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
316	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
317	C₂×C₂²⋊Dic₅₃	C₂³	1	16	yes	complemented
318	C₂×#11719921	C₂³	1	1	yes	characteristic
319	C₂×#11719921	C₂³	1	1	yes	characteristic
320	C₂×#11719921	C₂³	1	2	yes	—
321	C₂×#11719921	C₂³	1	2	yes	—
322	C₂×#11719921	C₂³	1	1	yes	characteristic
323	C₂×#11719921	C₂³	1	1	yes	characteristic
324	C₂×#11719921	C₂³	1	2	yes	complemented
325	C₂×#11719921	C₂³	1	2	yes	complemented
326	C₂×#11719921	C₂³	1	2	yes	complemented
327	C₂×#11719921	C₂³	1	2	yes	complemented
328	C₂×#11719921	C₂³	1	2	yes	complemented
329	C₂×#11719921	C₂³	1	2	yes	complemented
330	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
331	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
332	C₂×#11719921	C₂³	1	16	yes	complemented
333	C₂×#11719921	C₂³	1	16	yes	complemented
334	C₂²⋊C₄×D₅₃	C₂³	1	16	yes	complemented
335	C₂²⋊C₄×D₅₃	C₂³	1	16	yes	complemented
336	C₂²⋊C₄×D₅₃	C₂³	1	16	yes	complemented
337	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
338	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
339	C₂⁵×C₅₃	C₂³	1	2	yes	—
340	C₂⁵×C₅₃	C₂³	1	2	yes	complemented
341	C₂²×D₄×C₅₃	—	2	8	no	—
342	C₂²×D₄×C₅₃	—	2	8	no	—
343	C₂²×D₄×C₅₃	—	4	8	no	—
344	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
345	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
346	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
347	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
348	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
349	C₂²×D₄×C₅₃	C₂³	1	8	yes	complemented
350	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
351	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
352	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
353	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
354	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
355	C₂²×D₄×C₅₃	C₂³	1	8	yes	complemented
356	C₂²×D₄×C₅₃	C₂³	1	16	yes	complemented
357	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
358	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
359	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
360	#127×C₅₃	C₂³	1	8	yes	complemented
361	#121×C₅₃	C₂³	1	8	yes	complemented
362	#121×C₅₃	C₂³	1	8	yes	complemented
363	#121×C₅₃	C₂³	1	16	yes	complemented
364	#120×C₅₃	C₂³	1	16	yes	complemented
365	#120×C₅₃	C₂³	1	16	yes	complemented
366	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
367	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
368	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
369	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
370	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
372	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
373	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
374	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
375	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
376	C₂⁴×C₅₃	—	2	8	no	—
377	C₂⁴×C₅₃	—	2	8	no	—
378	C₂⁴×C₅₃	—	2	8	no	—
379	C₂⁴×C₅₃	—	4	4	no	—
380	C₂⁴×C₅₃	—	4	4	no	—
381	C₂⁴×C₅₃	—	4	4	no	—
382	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
384	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
385	C₂⁴×C₅₃	C₂⁴	1	8	yes	—
386	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
387	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₅₃	C₂⁴	1	8	yes	complemented
389	C₂³×D₅₃	—	2	4	no	—
390	C₂³×D₅₃	—	2	4	no	—
391	C₂³×D₅₃	—	2	4	no	—
392	C₂³×D₅₃	—	2	8	no	—
393	C₂³×D₅₃	—	2	8	no	—
394	C₂³×D₅₃	—	2	8	no	—
395	C₂³×D₅₃	—	2	8	no	—
396	C₂³×D₅₃	—	2	8	no	—
397	C₂³×D₅₃	—	2	64	no	—
398	C₂³×D₅₃	—	2	8	no	—
399	C₂³×D₅₃	—	2	8	no	—
400	C₂³×D₅₃	—	2	8	no	—
401	C₂³×D₅₃	—	4	32	no	—
402	C₂³×D₅₃	—	4	4	no	—
403	C₂³×D₅₃	—	4	4	no	—
404	C₂³×D₅₃	—	4	4	no	—
405	C₂³×D₅₃	—	4	4	no	—
406	C₂³×D₅₃	—	4	4	no	—
407	C₂³×D₅₃	—	4	4	no	—
408	C₂³×D₅₃	—	4	4	no	—
409	C₂³×D₅₃	—	4	32	no	—
410	C₂³×D₅₃	—	4	4	no	—
411	C₂³×D₅₃	—	4	4	no	—
412	C₂³×D₅₃	—	4	128	no	—
413	C₂³×D₅₃	C₂×D₄	1	16	yes	complemented
414	C₂³×D₅₃	C₂⁴	1	2	yes	—
415	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
416	C₂³×D₅₃	C₂⁴	1	4	yes	—
417	C₂³×D₅₃	C₂⁴	1	8	yes	—
418	C₂³×D₅₃	C₂⁴	1	8	yes	—
419	C₂³×D₅₃	C₂⁴	1	8	yes	—
420	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
421	C₂³×D₅₃	C₂⁴	1	2	yes	—
422	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
423	C₂³×D₅₃	C₂⁴	1	8	yes	—
424	C₂³×D₅₃	C₂⁴	1	8	yes	—
425	C₂³×D₅₃	C₂⁴	1	8	yes	complemented
426	C₂×D₄×C₅₃	—	2	8	no	—
427	C₂×D₄×C₅₃	—	2	8	no	—
428	C₂×D₄×C₅₃	—	2	4	no	—
429	C₂×D₄×C₅₃	—	2	8	no	—
430	C₂×D₄×C₅₃	—	2	32	no	—
431	C₂×D₄×C₅₃	—	2	32	no	—
432	C₂×D₄×C₅₃	—	2	4	no	—
433	C₂×D₄×C₅₃	—	2	4	no	—
434	C₂×D₄×C₅₃	—	4	4	no	—
435	C₂×D₄×C₅₃	—	4	4	no	—
436	C₂×D₄×C₅₃	—	4	4	no	—
437	C₂×D₄×C₅₃	—	4	32	no	—
438	C₂×D₄×C₅₃	C₂×D₄	1	8	yes	complemented
439	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
440	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
441	C₂×D₄×C₅₃	C₂⁴	1	8	yes	—
442	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
443	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
444	C₂×D₄×C₅₃	C₂⁴	1	8	yes	complemented
445	C₂×D₄×C₅₃	C₂⁴	1	4	yes	complemented
446	C₂×D₄×C₅₃	C₂⁴	1	8	yes	complemented
447	C₂×D₄×C₅₃	C₂⁴	1	8	yes	complemented
448	C₂×D₄×C₅₃	C₂⁴	1	8	yes	complemented
449	C₂²×C₄×C₅₃	—	2	4	no	—
450	C₂²×C₄×C₅₃	—	2	4	no	—
451	C₂²×C₄×C₅₃	—	4	4	no	—
452	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
457	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	complemented
460	C₂²×C₄×C₅₃	C₂⁴	1	8	yes	complemented
461	C₂×C₂²⋊D₅₃	—	2	8	no	—
462	C₂×C₂²⋊D₅₃	—	2	8	no	—
463	C₂×C₂²⋊D₅₃	—	2	4	no	—
464	C₂×C₂²⋊D₅₃	—	2	8	no	—
465	C₂×C₂²⋊D₅₃	—	2	8	no	—
466	C₂×C₂²⋊D₅₃	—	2	8	no	—
467	C₂×C₂²⋊D₅₃	—	2	4	no	—
468	C₂×C₂²⋊D₅₃	—	2	8	no	—
469	C₂×C₂²⋊D₅₃	—	2	64	no	—
470	C₂×C₂²⋊D₅₃	—	2	8	no	—
471	C₂×C₂²⋊D₅₃	—	2	4	no	—
472	C₂×C₂²⋊D₅₃	—	2	64	no	—
473	C₂×C₂²⋊D₅₃	—	2	64	no	—
474	C₂×C₂²⋊D₅₃	—	2	8	no	—
475	C₂×C₂²⋊D₅₃	—	2	4	no	—
476	C₂×C₂²⋊D₅₃	—	4	4	no	—
477	C₂×C₂²⋊D₅₃	—	4	4	no	—
478	C₂×C₂²⋊D₅₃	—	4	4	no	—
479	C₂×C₂²⋊D₅₃	—	4	4	no	—
480	C₂×C₂²⋊D₅₃	—	4	32	no	—
481	C₂×C₂²⋊D₅₃	C₂×D₄	1	16	yes	complemented
482	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
483	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
484	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
485	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
486	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
487	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
488	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
489	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
490	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	—
491	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
492	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
493	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
494	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	complemented
495	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
496	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
497	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
498	C₂×C₂²⋊D₅₃	C₂⁴	1	8	yes	complemented
499	C₂²×Dic₅₃	—	2	8	no	—
500	C₂²×Dic₅₃	—	2	4	no	—
501	C₂²×Dic₅₃	—	2	8	no	—
502	C₂²×Dic₅₃	—	4	4	no	—
503	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
504	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
505	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
506	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
507	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
508	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
510	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
511	C₂²×Dic₅₃	C₂⁴	1	8	yes	complemented
512	C₂²×Dic₅₃	C₂⁴	1	8	yes	complemented
513	C₂²×Dic₅₃	C₂⁴	1	8	yes	complemented
514	#11719947	—	2	32	no	—
515	#11719947	—	2	64	no	—
516	#11719947	—	2	32	no	—
517	D₄×D₅₃	—	2	64	no	—
518	D₄×D₅₃	—	2	64	no	—
519	D₄×D₅₃	—	2	32	no	—
520	D₄×D₅₃	—	2	64	no	—
521	D₄×D₅₃	—	2	32	no	—
522	D₄×D₅₃	—	2	32	no	—
523	D₄×D₅₃	—	2	32	no	—
524	D₄×D₅₃	—	4	32	no	—
525	D₄×D₅₃	—	4	32	no	—
526	D₄×D₅₃	C₂×D₄	1	64	yes	complemented
527	#11719945	—	2	32	no	—
528	#11719945	—	2	32	no	—
529	C₂×D₂₁₂	—	2	8	no	—
530	C₂×D₂₁₂	—	2	4	no	—
531	C₂×D₂₁₂	—	2	4	no	—
532	C₂×D₂₁₂	—	2	4	no	—
533	C₂×D₂₁₂	—	2	32	no	—
534	C₂×D₂₁₂	—	4	4	no	—
535	C₂×D₂₁₂	C₂×D₄	1	8	yes	complemented
536	C₂×D₂₁₂	C₂⁴	1	4	yes	—
537	C₂×D₂₁₂	C₂⁴	1	4	yes	—
538	C₂×D₂₁₂	C₂⁴	1	8	yes	—
539	C₂×D₂₁₂	C₂⁴	1	4	yes	—
540	C₂×D₂₁₂	C₂⁴	1	4	yes	—
541	C₂×D₂₁₂	C₂⁴	1	8	yes	complemented
542	C₂×C₄×D₅₃	—	2	4	no	—
543	C₂×C₄×D₅₃	—	2	8	no	—
544	C₂×C₄×D₅₃	—	2	4	no	—
545	C₂×C₄×D₅₃	—	2	4	no	—
546	C₂×C₄×D₅₃	—	2	4	no	—
547	C₂×C₄×D₅₃	—	2	32	no	—
548	C₂×C₄×D₅₃	—	4	4	no	—
549	C₂×C₄×D₅₃	—	4	4	no	—
550	C₂×C₄×D₅₃	C₂×D₄	1	8	yes	complemented
551	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
552	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
553	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
554	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
555	C₂×C₄×D₅₃	C₂⁴	1	8	yes	complemented
556	C₂×C₄×D₅₃	C₂⁴	1	4	yes	complemented
557	C₂×C₄×D₅₃	C₂⁴	1	8	yes	complemented
558	C₂×C₄×D₅₃	C₂⁴	1	8	yes	complemented
559	C₂×Dic₁₀₆	—	2	4	no	—
560	C₂×Dic₁₀₆	—	2	4	no	—
561	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
562	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
563	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
564	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
565	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
566	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
567	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
568	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
569	C₂²⋊C₄×C₅₃	C₂⁴	1	8	yes	complemented
570	C₄²×C₅₃	C₂⁴	1	4	yes	complemented
571	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	—
572	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
573	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
574	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
575	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
576	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
577	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
578	C₂²⋊Dic₅₃	C₂⁴	1	8	yes	complemented
579	#11719921	C₂⁴	1	4	yes	—
580	#11719921	C₂⁴	1	4	yes	—
581	#11719921	C₂⁴	1	8	yes	—
582	#11719921	C₂⁴	1	8	yes	—
583	#11719921	C₂⁴	1	4	yes	—
584	#11719921	C₂⁴	1	4	yes	—
585	#11719921	C₂⁴	1	8	yes	complemented
586	#11719921	C₂⁴	1	8	yes	complemented
587	#11719921	C₂⁴	1	8	yes	complemented
588	#11719921	C₂⁴	1	8	yes	complemented
589	#11719921	C₂⁴	1	8	yes	complemented
590	#11719921	C₂⁴	1	8	yes	complemented
591	#11719921	C₂⁴	1	4	yes	complemented
592	#11719921	C₂⁴	1	4	yes	complemented
593	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
594	C₄⋊Dic₅₃	C₂⁴	1	8	yes	complemented
595	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
596	#11719919	C₂⁴	1	4	yes	complemented
597	#11719919	C₂⁴	1	4	yes	complemented
598	#11719919	C₂⁴	1	8	yes	complemented
599	#11719919	C₂⁴	1	4	yes	complemented
600	#11719919	C₂⁴	1	4	yes	complemented
601	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
602	C₄×Dic₅₃	C₂⁴	1	8	yes	complemented
603	C₂³×C₅₃	—	2	2	no	—
604	C₂³×C₅₃	—	2	4	no	—
605	C₂³×C₅₃	—	2	4	no	—
606	C₂³×C₅₃	—	2	2	no	—
607	C₂³×C₅₃	—	2	4	no	—
608	C₂³×C₅₃	—	2	2	no	—
609	C₂³×C₅₃	—	2	16	no	—
610	C₂³×C₅₃	—	2	4	no	—
611	C₂³×C₅₃	—	2	2	no	—
612	C₂³×C₅₃	—	2	4	no	—
613	C₂³×C₅₃	—	2	4	no	—
614	C₂³×C₅₃	—	2	4	no	—
615	C₂³×C₅₃	—	2	2	no	—
616	C₂³×C₅₃	—	2	4	no	—
617	C₂³×C₅₃	—	2	16	no	—
618	C₂³×C₅₃	—	2	16	no	—
619	C₂³×C₅₃	—	4	8	no	—
620	C₂³×C₅₃	—	4	8	no	—
621	C₂³×C₅₃	—	4	8	no	—
622	C₂³×C₅₃	—	4	32	no	—
623	C₂³×C₅₃	—	8	16	no	—
624	C₂³×C₅₃	C₂²×D₄	1	8	yes	—
625	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
626	C₂³×C₅₃	C₂⁵	1	4	yes	—
627	C₂³×C₅₃	C₂⁵	1	2	yes	—
628	C₂³×C₅₃	C₂⁵	1	4	yes	—
629	C₂³×C₅₃	C₂⁵	1	4	yes	—
630	C₂³×C₅₃	C₂⁵	1	2	yes	—
631	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
632	C₂²×D₅₃	—	2	32	no	—
633	C₂²×D₅₃	—	2	2	no	—
634	C₂²×D₅₃	—	2	4	no	—
635	C₂²×D₅₃	—	2	4	no	—
636	C₂²×D₅₃	—	2	2	no	—
637	C₂²×D₅₃	—	2	2	no	—
638	C₂²×D₅₃	—	2	2	no	—
639	C₂²×D₅₃	—	2	8	no	—
640	C₂²×D₅₃	—	2	8	no	—
641	C₂²×D₅₃	—	2	8	no	—
642	C₂²×D₅₃	—	2	2	no	—
643	C₂²×D₅₃	—	2	4	no	—
644	C₂²×D₅₃	—	2	16	no	—
645	C₂²×D₅₃	—	2	2	no	—
646	C₂²×D₅₃	—	2	2	no	—
647	C₂²×D₅₃	—	2	4	no	—
648	C₂²×D₅₃	—	2	4	no	—
649	C₂²×D₅₃	—	2	16	no	—
650	C₂²×D₅₃	—	2	16	no	—
651	C₂²×D₅₃	—	2	16	no	—
652	C₂²×D₅₃	—	2	16	no	—
653	C₂²×D₅₃	—	2	16	no	—
654	C₂²×D₅₃	—	2	16	no	—
655	C₂²×D₅₃	—	2	16	no	—
656	C₂²×D₅₃	—	4	32	no	—
657	C₂²×D₅₃	—	4	8	no	—
658	C₂²×D₅₃	—	4	8	no	—
659	C₂²×D₅₃	—	4	8	no	—
660	C₂²×D₅₃	—	4	8	no	—
661	C₂²×D₅₃	—	4	8	no	—
662	C₂²×D₅₃	—	4	8	no	—
663	C₂²×D₅₃	—	4	8	no	—
664	C₂²×D₅₃	—	4	32	no	—
665	C₂²×D₅₃	—	4	8	no	—
666	C₂²×D₅₃	—	4	8	no	—
667	C₂²×D₅₃	—	4	32	no	—
668	C₂²×D₅₃	—	4	32	no	—
669	C₂²×D₅₃	—	4	256	no	—
670	C₂²×D₅₃	—	4	32	no	—
671	C₂²×D₅₃	—	8	16	no	—
672	C₂²×D₅₃	C₂²×D₄	1	4	yes	—
673	C₂²×D₅₃	C₂²×D₄	1	8	yes	—
674	C₂²×D₅₃	C₂²×D₄	1	32	yes	complemented
675	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	complemented
676	C₂²×D₅₃	C₂⁵	1	2	yes	—
677	C₂²×D₅₃	C₂⁵	1	4	yes	—
678	C₂²×D₅₃	C₂⁵	1	2	yes	—
679	C₂²×D₅₃	C₂⁵	1	4	yes	—
680	C₂²×D₅₃	C₂⁵	1	2	yes	—
681	D₄×C₅₃	—	2	16	no	—
682	D₄×C₅₃	—	2	16	no	—
683	D₄×C₅₃	—	2	16	no	—
684	D₄×C₅₃	—	2	8	no	—
685	D₄×C₅₃	—	2	8	no	—
686	D₄×C₅₃	—	2	8	no	—
687	D₄×C₅₃	—	4	8	no	—
688	D₄×C₅₃	—	4	8	no	—
689	D₄×C₅₃	—	4	8	no	—
690	D₄×C₅₃	C₂²×D₄	1	16	yes	complemented
691	C₂×C₄×C₅₃	—	2	2	no	—
692	C₂×C₄×C₅₃	—	2	2	no	—
693	C₂×C₄×C₅₃	—	2	2	no	—
694	C₂×C₄×C₅₃	—	2	4	no	—
695	C₂×C₄×C₅₃	—	2	2	no	—
696	C₂×C₄×C₅₃	—	2	8	no	—
697	C₂×C₄×C₅₃	—	2	8	no	—
698	C₂×C₄×C₅₃	—	4	8	no	—
699	C₂×C₄×C₅₃	C₂²×D₄	1	4	yes	—
700	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
701	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
702	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
703	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
704	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
705	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
706	C₂²⋊D₅₃	—	2	16	no	—
707	C₂²⋊D₅₃	—	2	16	no	—
708	C₂²⋊D₅₃	—	2	8	no	—
709	C₂²⋊D₅₃	—	2	8	no	—
710	C₂²⋊D₅₃	—	2	16	no	—
711	C₂²⋊D₅₃	—	2	16	no	—
712	C₂²⋊D₅₃	—	2	16	no	—
713	C₂²⋊D₅₃	—	2	16	no	—
714	C₂²⋊D₅₃	—	2	16	no	—
715	C₂²⋊D₅₃	—	2	8	no	—
716	C₂²⋊D₅₃	—	2	8	no	—
717	C₂²⋊D₅₃	—	2	16	no	—
718	C₂²⋊D₅₃	—	4	8	no	—
719	C₂²⋊D₅₃	—	4	8	no	—
720	C₂²⋊D₅₃	—	4	8	no	—
721	C₂²⋊D₅₃	—	4	8	no	—
722	C₂²⋊D₅₃	C₂²×D₄	1	32	yes	complemented
723	C₂×Dic₅₃	—	2	4	no	—
724	C₂×Dic₅₃	—	2	2	no	—
725	C₂×Dic₅₃	—	2	2	no	—
726	C₂×Dic₅₃	—	2	16	no	—
727	C₂×Dic₅₃	—	2	2	no	—
728	C₂×Dic₅₃	—	2	4	no	—
729	C₂×Dic₅₃	—	2	2	no	—
730	C₂×Dic₅₃	—	2	8	no	—
731	C₂×Dic₅₃	—	2	16	no	—
732	C₂×Dic₅₃	—	4	8	no	—
733	C₂×Dic₅₃	C₂²×D₄	1	4	yes	—
734	C₂×Dic₅₃	C₂⁵	1	2	yes	—
735	C₂×Dic₅₃	C₂⁵	1	4	yes	—
736	C₂×Dic₅₃	C₂⁵	1	2	yes	—
737	C₂×Dic₅₃	C₂⁵	1	2	yes	—
738	C₂×Dic₅₃	C₂⁵	1	4	yes	—
739	C₂×Dic₅₃	C₂⁵	1	2	yes	—
740	C₂×Dic₅₃	C₂⁵	1	2	yes	—
741	D₂₁₂	—	2	16	no	—
742	D₂₁₂	—	2	8	no	—
743	D₂₁₂	—	2	8	no	—
744	D₂₁₂	—	2	8	no	—
745	D₂₁₂	—	4	8	no	—
746	D₂₁₂	C₂²×D₄	1	16	yes	complemented
747	C₄×D₅₃	—	2	8	no	—
748	C₄×D₅₃	—	2	16	no	—
749	C₄×D₅₃	—	2	8	no	—
750	C₄×D₅₃	—	2	8	no	—
751	C₄×D₅₃	—	2	8	no	—
752	C₄×D₅₃	—	4	8	no	—
753	C₄×D₅₃	—	4	8	no	—
754	C₄×D₅₃	C₂²×D₄	1	16	yes	complemented
755	Dic₁₀₆	—	2	8	no	—
756	Dic₁₀₆	—	2	8	no	—
757	C₂×#3484	—	53	1	no	maximal, Sylow
758	C₂²×C₅₃	—	2	2	no	—
759	C₂²×C₅₃	—	2	4	no	—
760	C₂²×C₅₃	—	2	4	no	—
761	C₂²×C₅₃	—	2	2	no	—
762	C₂²×C₅₃	—	2	8	no	—
763	C₂²×C₅₃	—	2	16	no	—
764	C₂²×C₅₃	—	2	4	no	—
765	C₂²×C₅₃	—	2	2	no	—
766	C₂²×C₅₃	—	2	4	no	—
767	C₂²×C₅₃	—	2	2	no	—
768	C₂²×C₅₃	—	2	4	no	—
769	C₂²×C₅₃	—	2	4	no	—
770	C₂²×C₅₃	—	2	4	no	—
771	C₂²×C₅₃	—	2	2	no	—
772	C₂²×C₅₃	—	2	4	no	—
773	C₂²×C₅₃	—	4	32	no	—
774	C₂²×C₅₃	—	4	8	no	—
775	C₂²×C₅₃	—	4	8	no	—
776	C₂²×C₅₃	—	4	4	no	—
777	C₂²×C₅₃	—	8	16	no	—
778	C₂²×C₅₃	C₂³×D₄	1	8	yes	—
779	C₂²×C₅₃	C₂³×D₄	1	2	yes	—
780	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
782	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	complemented
783	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
784	C₂×D₅₃	—	2	32	no	—
785	C₂×D₅₃	—	2	2	no	—
786	C₂×D₅₃	—	2	4	no	—
787	C₂×D₅₃	—	2	4	no	—
788	C₂×D₅₃	—	2	2	no	—
789	C₂×D₅₃	—	2	2	no	—
790	C₂×D₅₃	—	2	2	no	—
791	C₂×D₅₃	—	2	8	no	—
792	C₂×D₅₃	—	2	8	no	—
793	C₂×D₅₃	—	2	16	no	—
794	C₂×D₅₃	—	2	2	no	—
795	C₂×D₅₃	—	2	4	no	—
796	C₂×D₅₃	—	2	2	no	—
797	C₂×D₅₃	—	2	2	no	—
798	C₂×D₅₃	—	2	4	no	—
799	C₂×D₅₃	—	2	4	no	—
800	C₂×D₅₃	—	4	32	no	—
801	C₂×D₅₃	—	4	32	no	—
802	C₂×D₅₃	—	4	32	no	—
803	C₂×D₅₃	—	4	32	no	—
804	C₂×D₅₃	—	4	32	no	—
805	C₂×D₅₃	—	4	8	no	—
806	C₂×D₅₃	—	4	4	no	—
807	C₂×D₅₃	—	8	16	no	—
808	C₂×D₅₃	C₂³×D₄	1	4	yes	—
809	C₂×D₅₃	C₂³×D₄	1	8	yes	—
810	C₂×D₅₃	C₂×H(5,𝔽₂)	1	4	yes	complemented
811	C₄×C₅₃	—	2	2	no	—
812	C₄×C₅₃	—	2	2	no	—
813	C₄×C₅₃	—	2	2	no	—
814	C₄×C₅₃	—	2	4	no	—
815	C₄×C₅₃	—	2	2	no	—
816	C₄×C₅₃	C₂³×D₄	1	4	yes	—
817	Dic₅₃	—	2	4	no	—
818	Dic₅₃	—	2	2	no	—
819	Dic₅₃	—	2	2	no	—
820	Dic₅₃	—	2	2	no	—
821	Dic₅₃	—	2	4	no	—
822	Dic₅₃	—	2	2	no	—
823	Dic₅₃	C₂³×D₄	1	4	yes	—
824	C₂²×H(5,𝔽₂)	—	53	1	no	—
825	C₂⁴×D₄	—	53	1	no	—
826	#3484	—	53	32	no	—
827	C₂×#546	—	53	1	no	—
828	C₂×#546	—	53	2	no	—
829	C₂×#546	—	53	1	no	—
830	C₂×#546	—	53	2	no	—
831	C₂×#546	—	53	1	no	—
832	C₂×#546	—	53	1	no	—
833	C₂×D₄²	—	53	1	no	—
834	C₂×D₄²	—	53	2	no	—
835	C₂×D₄²	—	53	1	no	—
836	C₂×D₄²	—	53	1	no	—
837	C₂×D₄²	—	53	2	no	—
838	C₂×D₄²	D₅₃	1	1	yes	characteristic, complemented
839	C₂×#535	—	53	1	no	—
840	C₂×#535	—	53	1	no	—
841	C₂×#534	—	53	2	no	—
842	C₂×#534	—	53	2	no	—
843	C₂×#525	—	53	1	no	—
844	C₂×#525	—	53	1	no	—
845	C₂²×#120	—	53	2	no	—
846	C₂²×#120	—	53	2	no	—
847	C₂×#518	—	53	1	no	—
848	C₂×C₅₃	—	2	4	no	—
849	C₂×C₅₃	—	2	8	no	—
850	C₂×C₅₃	—	4	4	no	—
851	C₂×C₅₃	—	4	4	no	—
852	C₂×C₅₃	—	4	2	no	—
853	C₂×C₅₃	#3484	1	4	yes	complemented
854	C₂×C₅₃	C₂⁴×D₄	1	1	yes	characteristic
855	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
856	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
857	D₅₃	—	2	4	no	—
858	D₅₃	—	2	4	no	—
859	D₅₃	—	2	8	no	—
860	D₅₃	—	4	4	no	—
861	D₅₃	—	4	2	no	—
862	C₂⁶	—	53	2	no	—
863	C₂×H(5,𝔽₂)	—	53	16	no	—
864	C₂×H(5,𝔽₂)	—	106	16	no	—
865	C₂²×#41	—	53	1	no	—
866	C₂²×#41	—	53	1	no	—
867	C₂²×#41	—	53	2	no	—
868	C₂²×#41	—	53	1	no	—
869	C₂²×#41	—	53	1	no	—
870	C₂³×D₄	—	53	1	no	—
871	C₂³×D₄	—	53	2	no	—
872	C₂³×D₄	—	53	2	no	—
873	C₂³×D₄	—	53	2	no	—
874	C₂³×D₄	—	53	2	no	—
875	C₂³×D₄	—	53	2	no	—
876	C₂³×D₄	—	53	1	no	—
877	C₂³×D₄	—	53	2	no	—
878	C₂³×D₄	—	53	1	no	—
879	C₂³×D₄	—	53	1	no	—
880	C₂³×D₄	—	53	16	no	—
881	C₂³×D₄	—	53	2	no	—
882	C₂³×D₄	—	53	1	no	—
883	C₂³×D₄	—	53	2	no	—
884	C₂³×D₄	—	53	2	no	—
885	C₂³×D₄	—	53	1	no	—
886	C₂³×D₄	—	106	16	no	—
887	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
888	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
889	C₂³×D₄	C₂×D₅₃	1	2	yes	complemented
890	C₂⁴×C₄	—	53	1	no	—
891	#546	—	53	16	no	—
892	#546	—	53	16	no	—
893	#546	—	53	32	no	—
894	#546	—	53	32	no	—
895	#546	—	53	16	no	—
896	#546	—	53	16	no	—
897	D₄²	—	53	16	no	—
898	D₄²	—	53	32	no	—
899	D₄²	—	53	16	no	—
900	D₄²	—	53	16	no	—
901	D₄²	—	53	32	no	—
902	D₄²	C₂×D₅₃	1	16	yes	complemented
903	#535	—	53	16	no	—
904	#535	—	53	16	no	—
905	#534	—	53	32	no	—
906	#534	—	53	32	no	—
907	C₂×#127	—	53	2	no	—
908	C₂×#127	—	53	1	no	—
909	C₂×#127	C₂×D₅₃	1	1	yes	characteristic, complemented
910	C₂×#124	—	53	1	no	—
911	C₂×#124	—	53	2	no	—
912	C₂×#124	—	53	1	no	—
913	#525	—	53	16	no	—
914	#525	—	53	16	no	—
915	C₂×#123	—	53	2	no	—
916	C₂×#123	—	53	1	no	—
917	C₂×#123	—	53	2	no	—
918	C₂×#123	—	53	2	no	—
919	C₂×#123	—	53	1	no	—
920	C₂×#123	—	53	2	no	—
921	C₂×#123	—	53	2	no	—
922	C₂×C₂²⋊Q₈	—	53	1	no	—
923	C₂×C₂²⋊Q₈	—	53	1	no	—
924	C₂×C₂²⋊Q₈	—	53	1	no	—
925	C₂×C₂²⋊Q₈	—	53	1	no	—
926	C₂×#121	—	53	1	no	—
927	C₂×#121	—	53	1	no	—
928	C₂×#121	—	53	2	no	—
929	C₂×#121	—	53	1	no	—
930	C₂×#121	—	53	2	no	—
931	C₂×#121	—	53	2	no	—
932	C₂×#121	—	53	2	no	—
933	C₂×#121	—	53	2	no	—
934	C₂×#121	—	53	2	no	—
935	C₂×#121	—	53	2	no	—
936	C₂×#121	—	53	1	no	—
937	C₂×#121	—	53	1	no	—
938	C₂×#121	—	53	1	no	—
939	C₂×#121	—	53	2	no	—
940	C₂×#121	—	53	2	no	—
941	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
942	C₂×#121	C₂×D₅₃	1	2	yes	complemented
943	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
944	C₂×#120	—	53	2	no	—
945	C₂×#120	—	53	2	no	—
946	C₂×#120	—	53	2	no	—
947	C₂×#120	—	53	1	no	—
948	C₂×#120	—	53	2	no	—
949	C₂×#120	—	53	2	no	—
950	C₂×#120	—	53	2	no	—
951	C₂×#120	—	53	2	no	—
952	C₂×#120	—	53	2	no	—
953	C₂×#120	—	53	2	no	—
954	C₂×#120	—	53	2	no	—
955	C₂×#120	—	53	2	no	—
956	C₂×#120	—	53	32	no	—
957	C₂×#120	—	53	2	no	—
958	C₂×#120	—	53	32	no	—
959	C₂×#120	—	53	1	no	—
960	C₂×#120	—	53	2	no	—
961	C₂×#120	—	53	2	no	—
962	C₂×#120	—	53	2	no	—
963	C₂×#120	C₂×D₅₃	1	2	yes	complemented
964	C₂×#120	C₂×D₅₃	1	2	yes	complemented
965	#518	—	53	16	no	—
966	C₂×C₄×D₄	—	53	1	no	—
967	C₂×C₄×D₄	—	53	2	no	—
968	C₂×C₄×D₄	—	53	1	no	—
969	C₂×C₄×D₄	—	53	2	no	—
970	C₂×C₄×D₄	—	53	1	no	—
971	C₂×C₄×D₄	—	53	1	no	—
972	C₂×C₄×D₄	—	53	2	no	—
973	C₂×C₄×D₄	—	53	2	no	—
974	C₂×C₄×D₄	—	53	1	no	—
975	C₂×C₄×D₄	—	53	1	no	—
976	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
977	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
978	C₂×#117	—	53	1	no	—
979	C₂×#117	—	53	1	no	—
980	C₂²×C₂²⋊C₄	—	53	2	no	—
981	C₂²×C₂²⋊C₄	—	53	2	no	—
982	C₂²×C₂²⋊C₄	—	53	2	no	—
983	C₂²×C₂²⋊C₄	—	53	2	no	—
984	C₂²×C₂²⋊C₄	—	53	2	no	—
985	C₂²×C₂²⋊C₄	—	53	2	no	—
986	C₅₃	C₂×#3484	1	1	yes	characteristic, complemented, Sylow
987	C₂⁵	—	53	2	no	—
988	C₂⁵	—	53	1	no	—
989	C₂⁵	—	53	2	no	—
990	C₂⁵	—	53	2	no	—
991	C₂⁵	—	53	2	no	—
992	C₂⁵	—	53	2	no	—
993	C₂⁵	—	53	16	no	—
994	C₂⁵	—	53	2	no	—
995	C₂⁵	—	106	16	no	—
996	C₂⁵	—	212	8	no	—
997	C₂⁵	—	212	8	no	—
998	C₂⁵	C₂²×D₅₃	1	2	yes	—
999	C₂⁵	C₂²×D₅₃	1	2	yes	complemented
1000	H(5,𝔽₂)	—	106	128	no	—
1001	C₂×#41	—	53	8	no	—
1002	C₂×#41	—	53	8	no	—
1003	C₂×#41	—	53	16	no	—
1004	C₂×#41	—	53	8	no	—
1005	C₂×#41	—	53	8	no	—
1006	C₂×#41	—	106	8	no	—
1007	C₂×#41	—	106	8	no	—
1008	C₂×#41	—	106	8	no	—
1009	C₂×#41	—	106	16	no	—
1010	C₂×#41	—	106	8	no	—
1011	C₂²×Q₈	—	53	1	no	—
1012	C₂²×Q₈	—	53	1	no	—
1013	C₂²×D₄	—	2	8	no	—
1014	C₂²×D₄	—	2	8	no	—
1015	C₂²×D₄	—	4	8	no	—
1016	C₂²×D₄	—	53	2	no	—
1017	C₂²×D₄	—	53	16	no	—
1018	C₂²×D₄	—	53	8	no	—
1019	C₂²×D₄	—	53	2	no	—
1020	C₂²×D₄	—	53	1	no	—
1021	C₂²×D₄	—	53	1	no	—
1022	C₂²×D₄	—	53	2	no	—
1023	C₂²×D₄	—	53	1	no	—
1024	C₂²×D₄	—	53	2	no	—
1025	C₂²×D₄	—	53	2	no	—
1026	C₂²×D₄	—	53	2	no	—
1027	C₂²×D₄	—	53	2	no	—
1028	C₂²×D₄	—	53	2	no	—
1029	C₂²×D₄	—	53	2	no	—
1030	C₂²×D₄	—	53	1	no	—
1031	C₂²×D₄	—	53	16	no	—
1032	C₂²×D₄	—	53	16	no	—
1033	C₂²×D₄	—	53	16	no	—
1034	C₂²×D₄	—	53	2	no	—
1035	C₂²×D₄	—	53	2	no	—
1036	C₂²×D₄	—	53	2	no	—
1037	C₂²×D₄	—	53	2	no	—
1038	C₂²×D₄	—	53	16	no	—
1039	C₂²×D₄	—	53	16	no	—
1040	C₂²×D₄	—	53	8	no	—
1041	C₂²×D₄	—	53	16	no	—
1042	C₂²×D₄	—	53	8	no	—
1043	C₂²×D₄	—	53	8	no	—
1044	C₂²×D₄	—	53	16	no	—
1045	C₂²×D₄	—	53	8	no	—
1046	C₂²×D₄	—	53	16	no	—
1047	C₂²×D₄	—	53	16	no	—
1048	C₂²×D₄	—	53	1	no	—
1049	C₂²×D₄	—	53	1	no	—
1050	C₂²×D₄	—	53	1	no	—
1051	C₂²×D₄	—	53	2	no	—
1052	C₂²×D₄	—	53	1	no	—
1053	C₂²×D₄	—	53	8	no	—
1054	C₂²×D₄	—	53	2	no	—
1055	C₂²×D₄	—	106	8	no	—
1056	C₂²×D₄	—	106	8	no	—
1057	C₂²×D₄	—	106	16	no	—
1058	C₂²×D₄	—	106	128	no	—
1059	C₂²×D₄	—	106	8	no	—
1060	C₂²×D₄	—	106	8	no	—
1061	C₂²×D₄	—	106	16	no	—
1062	C₂²×D₄	—	106	16	no	—
1063	C₂²×D₄	—	106	16	no	—
1064	C₂²×D₄	—	106	16	no	—
1065	C₂²×D₄	—	106	16	no	—
1066	C₂²×D₄	—	106	8	no	—
1067	C₂²×D₄	—	212	8	no	—
1068	C₂²×D₄	—	212	8	no	—
1069	C₂²×D₄	—	212	8	no	—
1070	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1071	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1072	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1073	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1074	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1075	C₂²×D₄	C₂²×D₅₃	1	8	yes	complemented
1076	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1077	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1078	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1079	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1080	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1081	C₂²×D₄	C₂²×D₅₃	1	8	yes	complemented
1082	C₂²×D₄	C₂²×D₅₃	1	16	yes	complemented
1083	C₂³×C₄	—	53	1	no	—
1084	C₂³×C₄	—	53	2	no	—
1085	C₂³×C₄	—	53	2	no	—
1086	C₂³×C₄	—	53	1	no	—
1087	C₂³×C₄	—	53	2	no	—
1088	C₂³×C₄	—	53	2	no	—
1089	C₂³×C₄	—	53	1	no	—
1090	C₂³×C₄	—	53	1	no	—
1091	C₂³×C₄	—	53	1	no	—
1092	C₂³×C₄	—	53	1	no	—
1093	C₂³×C₄	—	53	8	no	—
1094	C₂³×C₄	—	53	2	no	—
1095	C₂³×C₄	—	53	2	no	—
1096	C₂³×C₄	—	106	8	no	—
1097	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1098	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1099	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1100	#127	—	53	16	no	—
1101	#127	—	53	8	no	—
1102	#127	C₂²×D₅₃	1	8	yes	complemented
1103	#124	—	53	8	no	—
1104	#124	—	53	16	no	—
1105	#124	—	53	8	no	—
1106	#123	—	53	16	no	—
1107	#123	—	53	8	no	—
1108	#123	—	53	16	no	—
1109	#123	—	53	16	no	—
1110	#123	—	53	8	no	—
1111	#123	—	53	16	no	—
1112	#123	—	53	16	no	—
1113	C₂²⋊Q₈	—	53	8	no	—
1114	C₂²⋊Q₈	—	53	8	no	—
1115	C₂²⋊Q₈	—	53	8	no	—
1116	C₂²⋊Q₈	—	53	8	no	—
1117	#121	—	53	8	no	—
1118	#121	—	53	16	no	—
1119	#121	—	53	8	no	—
1120	#121	—	53	8	no	—
1121	#121	—	53	16	no	—
1122	#121	—	53	16	no	—
1123	#121	—	53	16	no	—
1124	#121	—	53	16	no	—
1125	#121	—	53	16	no	—
1126	#121	—	53	16	no	—
1127	#121	—	53	8	no	—
1128	#121	—	53	8	no	—
1129	#121	—	53	8	no	—
1130	#121	—	53	16	no	—
1131	#121	—	53	16	no	—
1132	#121	C₂²×D₅₃	1	8	yes	complemented
1133	#121	C₂²×D₅₃	1	16	yes	complemented
1134	#121	C₂²×D₅₃	1	8	yes	complemented
1135	#120	—	53	16	no	—
1136	#120	—	53	16	no	—
1137	#120	—	53	16	no	—
1138	#120	—	53	8	no	—
1139	#120	—	53	16	no	—
1140	#120	—	53	16	no	—
1141	#120	—	53	16	no	—
1142	#120	—	53	16	no	—
1143	#120	—	53	16	no	—
1144	#120	—	53	16	no	—
1145	#120	—	53	16	no	—
1146	#120	—	53	16	no	—
1147	#120	—	53	16	no	—
1148	#120	—	53	8	no	—
1149	#120	—	53	16	no	—
1150	#120	—	53	16	no	—
1151	#120	—	53	16	no	—
1152	#120	C₂²×D₅₃	1	16	yes	complemented
1153	#120	C₂²×D₅₃	1	16	yes	complemented
1154	C₄×D₄	—	53	8	no	—
1155	C₄×D₄	—	53	16	no	—
1156	C₄×D₄	—	53	8	no	—
1157	C₄×D₄	—	53	16	no	—
1158	C₄×D₄	—	53	8	no	—
1159	C₄×D₄	—	53	8	no	—
1160	C₄×D₄	—	53	16	no	—
1161	C₄×D₄	—	53	16	no	—
1162	C₄×D₄	—	53	8	no	—
1163	C₄×D₄	—	53	8	no	—
1164	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1165	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1166	#117	—	53	8	no	—
1167	#117	—	53	8	no	—
1168	C₂×C₄⋊C₄	—	53	1	no	—
1169	C₂×C₄⋊C₄	—	53	1	no	—
1170	C₂×C₄⋊C₄	—	53	1	no	—
1171	C₂×C₄⋊C₄	—	53	1	no	—
1172	C₂×C₄⋊C₄	—	53	2	no	—
1173	C₂×C₄⋊C₄	—	53	1	no	—
1174	C₂×C₄⋊C₄	—	53	2	no	—
1175	C₂×C₄⋊C₄	—	53	1	no	—
1176	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1177	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1178	C₂×C₂²⋊C₄	—	53	1	no	—
1179	C₂×C₂²⋊C₄	—	53	2	no	—
1180	C₂×C₂²⋊C₄	—	53	2	no	—
1181	C₂×C₂²⋊C₄	—	53	2	no	—
1182	C₂×C₂²⋊C₄	—	53	2	no	—
1183	C₂×C₂²⋊C₄	—	53	2	no	—
1184	C₂×C₂²⋊C₄	—	53	16	no	—
1185	C₂×C₂²⋊C₄	—	53	2	no	—
1186	C₂×C₂²⋊C₄	—	53	1	no	—
1187	C₂×C₂²⋊C₄	—	53	2	no	—
1188	C₂×C₂²⋊C₄	—	53	1	no	—
1189	C₂×C₂²⋊C₄	—	53	1	no	—
1190	C₂×C₂²⋊C₄	—	53	1	no	—
1191	C₂×C₂²⋊C₄	—	53	2	no	—
1192	C₂×C₂²⋊C₄	—	53	1	no	—
1193	C₂×C₂²⋊C₄	—	53	2	no	—
1194	C₂×C₂²⋊C₄	—	53	2	no	—
1195	C₂×C₂²⋊C₄	—	53	2	no	—
1196	C₂×C₂²⋊C₄	—	53	2	no	—
1197	C₂×C₂²⋊C₄	—	53	2	no	—
1198	C₂×C₂²⋊C₄	—	53	2	no	—
1199	C₂×C₂²⋊C₄	—	53	1	no	—
1200	C₂×C₂²⋊C₄	—	53	1	no	—
1201	C₂×C₂²⋊C₄	—	53	16	no	—
1202	C₂×C₂²⋊C₄	—	53	16	no	—
1203	C₂×C₂²⋊C₄	—	53	16	no	—
1204	C₂×C₂²⋊C₄	—	53	16	no	—
1205	C₂×C₂²⋊C₄	—	53	16	no	—
1206	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1207	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1208	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1209	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1210	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1211	C₂×C₄²	—	53	2	no	—
1212	C₂×C₄²	—	53	1	no	—
1213	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1214	C₂⁴	—	2	8	no	—
1215	C₂⁴	—	2	8	no	—
1216	C₂⁴	—	2	8	no	—
1217	C₂⁴	—	4	4	no	—
1218	C₂⁴	—	4	4	no	—
1219	C₂⁴	—	4	4	no	—
1220	C₂⁴	—	53	1	no	—
1221	C₂⁴	—	53	1	no	—
1222	C₂⁴	—	53	2	no	—
1223	C₂⁴	—	53	16	no	—
1224	C₂⁴	—	53	8	no	—
1225	C₂⁴	—	53	4	no	—
1226	C₂⁴	—	53	2	no	—
1227	C₂⁴	—	53	1	no	—
1228	C₂⁴	—	53	8	no	—
1229	C₂⁴	—	53	8	no	—
1230	C₂⁴	—	53	8	no	—
1231	C₂⁴	—	53	8	no	—
1232	C₂⁴	—	53	8	no	—
1233	C₂⁴	—	106	4	no	—
1234	C₂⁴	—	106	4	no	—
1235	C₂⁴	—	106	8	no	—
1236	C₂⁴	—	106	8	no	—
1237	C₂⁴	—	106	8	no	—
1238	C₂⁴	—	106	8	no	—
1239	C₂⁴	—	106	64	no	—
1240	C₂⁴	—	106	8	no	—
1241	C₂⁴	—	106	8	no	—
1242	C₂⁴	—	106	4	no	—
1243	C₂⁴	—	106	8	no	—
1244	C₂⁴	—	106	8	no	—
1245	C₂⁴	—	212	4	no	—
1246	C₂⁴	—	212	4	no	—
1247	C₂⁴	—	212	4	no	—
1248	C₂⁴	—	212	4	no	—
1249	C₂⁴	—	212	4	no	—
1250	C₂⁴	—	212	4	no	—
1251	C₂⁴	—	212	4	no	—
1252	C₂⁴	—	212	4	no	—
1253	C₂⁴	—	212	4	no	—
1254	C₂⁴	—	212	32	no	—
1255	C₂⁴	—	212	32	no	—
1256	C₂⁴	—	212	128	no	—
1257	C₂⁴	C₂³×D₅₃	1	2	yes	—
1258	C₂⁴	C₂³×D₅₃	1	2	yes	—
1259	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1260	C₂⁴	C₂³×D₅₃	1	8	yes	—
1261	C₂⁴	C₂³×D₅₃	1	2	yes	—
1262	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1263	C₂⁴	C₂³×D₅₃	1	8	yes	complemented
1264	#41	—	106	32	no	—
1265	#41	—	106	32	no	—
1266	#41	—	106	32	no	—
1267	#41	—	106	64	no	—
1268	#41	—	106	32	no	—
1269	C₂×Q₈	—	53	4	no	—
1270	C₂×Q₈	—	53	4	no	—
1271	C₂×Q₈	—	106	4	no	—
1272	C₂×Q₈	—	106	4	no	—
1273	C₂×D₄	—	2	8	no	—
1274	C₂×D₄	—	2	8	no	—
1275	C₂×D₄	—	2	4	no	—
1276	C₂×D₄	—	2	8	no	—
1277	C₂×D₄	—	2	32	no	—
1278	C₂×D₄	—	2	32	no	—
1279	C₂×D₄	—	2	4	no	—
1280	C₂×D₄	—	2	4	no	—
1281	C₂×D₄	—	4	4	no	—
1282	C₂×D₄	—	4	4	no	—
1283	C₂×D₄	—	4	4	no	—
1284	C₂×D₄	—	4	32	no	—
1285	C₂×D₄	—	53	16	no	—
1286	C₂×D₄	—	53	8	no	—
1287	C₂×D₄	—	53	64	no	—
1288	C₂×D₄	—	53	8	no	—
1289	C₂×D₄	—	53	4	no	—
1290	C₂×D₄	—	53	4	no	—
1291	C₂×D₄	—	53	8	no	—
1292	C₂×D₄	—	53	4	no	—
1293	C₂×D₄	—	53	8	no	—
1294	C₂×D₄	—	53	8	no	—
1295	C₂×D₄	—	53	8	no	—
1296	C₂×D₄	—	53	8	no	—
1297	C₂×D₄	—	53	8	no	—
1298	C₂×D₄	—	53	8	no	—
1299	C₂×D₄	—	53	4	no	—
1300	C₂×D₄	—	53	8	no	—
1301	C₂×D₄	—	53	8	no	—
1302	C₂×D₄	—	53	8	no	—
1303	C₂×D₄	—	53	8	no	—
1304	C₂×D₄	—	53	8	no	—
1305	C₂×D₄	—	53	4	no	—
1306	C₂×D₄	—	53	4	no	—
1307	C₂×D₄	—	53	4	no	—
1308	C₂×D₄	—	53	8	no	—
1309	C₂×D₄	—	53	4	no	—
1310	C₂×D₄	—	53	8	no	—
1311	C₂×D₄	—	106	32	no	—
1312	C₂×D₄	—	106	8	no	—
1313	C₂×D₄	—	106	4	no	—
1314	C₂×D₄	—	106	4	no	—
1315	C₂×D₄	—	106	32	no	—
1316	C₂×D₄	—	106	8	no	—
1317	C₂×D₄	—	106	4	no	—
1318	C₂×D₄	—	106	64	no	—
1319	C₂×D₄	—	106	32	no	—
1320	C₂×D₄	—	106	32	no	—
1321	C₂×D₄	—	106	64	no	—
1322	C₂×D₄	—	106	64	no	—
1323	C₂×D₄	—	106	64	no	—
1324	C₂×D₄	—	106	64	no	—
1325	C₂×D₄	—	106	8	no	—
1326	C₂×D₄	—	106	4	no	—
1327	C₂×D₄	—	106	8	no	—
1328	C₂×D₄	—	106	8	no	—
1329	C₂×D₄	—	106	8	no	—
1330	C₂×D₄	—	106	64	no	—
1331	C₂×D₄	—	106	8	no	—
1332	C₂×D₄	—	106	4	no	—
1333	C₂×D₄	—	106	8	no	—
1334	C₂×D₄	—	106	8	no	—
1335	C₂×D₄	—	106	4	no	—
1336	C₂×D₄	—	106	32	no	—
1337	C₂×D₄	—	106	4	no	—
1338	C₂×D₄	—	212	4	no	—
1339	C₂×D₄	—	212	4	no	—
1340	C₂×D₄	—	212	4	no	—
1341	C₂×D₄	—	212	4	no	—
1342	C₂×D₄	—	212	4	no	—
1343	C₂×D₄	—	212	32	no	—
1344	C₂×D₄	—	212	32	no	—
1345	C₂×D₄	—	212	32	no	—
1346	C₂×D₄	D₄×D₅₃	1	8	yes	complemented
1347	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1348	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1349	C₂×D₄	C₂³×D₅₃	1	8	yes	—
1350	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1351	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1352	C₂×D₄	C₂³×D₅₃	1	8	yes	complemented
1353	C₂×D₄	C₂³×D₅₃	1	4	yes	complemented
1354	C₂×D₄	C₂³×D₅₃	1	8	yes	complemented
1355	C₂×D₄	C₂³×D₅₃	1	8	yes	complemented
1356	C₂×D₄	C₂³×D₅₃	1	8	yes	complemented
1357	C₂²×C₄	—	2	4	no	—
1358	C₂²×C₄	—	2	4	no	—
1359	C₂²×C₄	—	4	4	no	—
1360	C₂²×C₄	—	53	1	no	—
1361	C₂²×C₄	—	53	8	no	—
1362	C₂²×C₄	—	53	4	no	—
1363	C₂²×C₄	—	53	4	no	—
1364	C₂²×C₄	—	53	8	no	—
1365	C₂²×C₄	—	53	8	no	—
1366	C₂²×C₄	—	53	1	no	—
1367	C₂²×C₄	—	53	2	no	—
1368	C₂²×C₄	—	53	1	no	—
1369	C₂²×C₄	—	53	1	no	—
1370	C₂²×C₄	—	53	2	no	—
1371	C₂²×C₄	—	53	1	no	—
1372	C₂²×C₄	—	53	8	no	—
1373	C₂²×C₄	—	53	4	no	—
1374	C₂²×C₄	—	53	4	no	—
1375	C₂²×C₄	—	53	4	no	—
1376	C₂²×C₄	—	53	8	no	—
1377	C₂²×C₄	—	53	4	no	—
1378	C₂²×C₄	—	53	8	no	—
1379	C₂²×C₄	—	53	8	no	—
1380	C₂²×C₄	—	106	4	no	—
1381	C₂²×C₄	—	106	32	no	—
1382	C₂²×C₄	—	106	4	no	—
1383	C₂²×C₄	—	106	8	no	—
1384	C₂²×C₄	—	106	4	no	—
1385	C₂²×C₄	—	106	8	no	—
1386	C₂²×C₄	—	106	8	no	—
1387	C₂²×C₄	—	106	4	no	—
1388	C₂²×C₄	—	106	4	no	—
1389	C₂²×C₄	—	212	4	no	—
1390	C₂²×C₄	—	212	4	no	—
1391	C₂²×C₄	—	212	4	no	—
1392	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1393	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1394	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1395	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1396	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂³×D₅₃	1	4	yes	complemented
1400	C₂²×C₄	C₂³×D₅₃	1	8	yes	complemented
1401	C₄⋊C₄	—	53	4	no	—
1402	C₄⋊C₄	—	53	4	no	—
1403	C₄⋊C₄	—	53	4	no	—
1404	C₄⋊C₄	—	53	4	no	—
1405	C₄⋊C₄	—	53	8	no	—
1406	C₄⋊C₄	—	53	4	no	—
1407	C₄⋊C₄	—	53	8	no	—
1408	C₄⋊C₄	—	53	4	no	—
1409	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1410	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1411	C₂²⋊C₄	—	53	4	no	—
1412	C₂²⋊C₄	—	53	8	no	—
1413	C₂²⋊C₄	—	53	8	no	—
1414	C₂²⋊C₄	—	53	8	no	—
1415	C₂²⋊C₄	—	53	8	no	—
1416	C₂²⋊C₄	—	53	8	no	—
1417	C₂²⋊C₄	—	53	8	no	—
1418	C₂²⋊C₄	—	53	4	no	—
1419	C₂²⋊C₄	—	53	8	no	—
1420	C₂²⋊C₄	—	53	4	no	—
1421	C₂²⋊C₄	—	53	4	no	—
1422	C₂²⋊C₄	—	53	4	no	—
1423	C₂²⋊C₄	—	53	8	no	—
1424	C₂²⋊C₄	—	53	4	no	—
1425	C₂²⋊C₄	—	53	8	no	—
1426	C₂²⋊C₄	—	53	8	no	—
1427	C₂²⋊C₄	—	53	8	no	—
1428	C₂²⋊C₄	—	53	8	no	—
1429	C₂²⋊C₄	—	53	8	no	—
1430	C₂²⋊C₄	—	53	8	no	—
1431	C₂²⋊C₄	—	53	4	no	—
1432	C₂²⋊C₄	—	53	4	no	—
1433	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1434	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1435	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1436	C₂²⋊C₄	C₂³×D₅₃	1	8	yes	complemented
1437	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1438	C₄²	—	53	8	no	—
1439	C₄²	—	53	4	no	—
1440	C₄²	C₂³×D₅₃	1	4	yes	complemented
1441	C₂³	—	2	2	no	—
1442	C₂³	—	2	4	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	2	4	no	—
1445	C₂³	—	2	2	no	—
1446	C₂³	—	2	4	no	—
1447	C₂³	—	2	16	no	—
1448	C₂³	—	2	4	no	—
1449	C₂³	—	2	4	no	—
1450	C₂³	—	2	4	no	—
1451	C₂³	—	2	2	no	—
1452	C₂³	—	2	2	no	—
1453	C₂³	—	2	4	no	—
1454	C₂³	—	2	4	no	—
1455	C₂³	—	2	16	no	—
1456	C₂³	—	2	16	no	—
1457	C₂³	—	4	8	no	—
1458	C₂³	—	4	8	no	—
1459	C₂³	—	4	8	no	—
1460	C₂³	—	4	32	no	—
1461	C₂³	—	8	16	no	—
1462	C₂³	—	53	4	no	—
1463	C₂³	—	53	8	no	—
1464	C₂³	—	53	4	no	—
1465	C₂³	—	53	2	no	—
1466	C₂³	—	53	2	no	—
1467	C₂³	—	53	4	no	—
1468	C₂³	—	53	32	no	—
1469	C₂³	—	53	4	no	—
1470	C₂³	—	53	2	no	—
1471	C₂³	—	106	8	no	—
1472	C₂³	—	106	8	no	—
1473	C₂³	—	106	16	no	—
1474	C₂³	—	106	16	no	—
1475	C₂³	—	106	16	no	—
1476	C₂³	—	106	16	no	—
1477	C₂³	—	106	16	no	—
1478	C₂³	—	106	16	no	—
1479	C₂³	—	106	32	no	—
1480	C₂³	—	106	2	no	—
1481	C₂³	—	106	4	no	—
1482	C₂³	—	106	2	no	—
1483	C₂³	—	106	4	no	—
1484	C₂³	—	106	2	no	—
1485	C₂³	—	106	2	no	—
1486	C₂³	—	106	8	no	—
1487	C₂³	—	106	2	no	—
1488	C₂³	—	106	16	no	—
1489	C₂³	—	106	4	no	—
1490	C₂³	—	106	2	no	—
1491	C₂³	—	106	4	no	—
1492	C₂³	—	106	2	no	—
1493	C₂³	—	106	4	no	—
1494	C₂³	—	106	16	no	—
1495	C₂³	—	424	16	no	—
1496	C₂³	—	212	8	no	—
1497	C₂³	—	212	8	no	—
1498	C₂³	—	212	32	no	—
1499	C₂³	—	212	8	no	—
1500	C₂³	—	212	8	no	—
1501	C₂³	—	212	8	no	—
1502	C₂³	—	212	8	no	—
1503	C₂³	—	212	8	no	—
1504	C₂³	—	212	8	no	—
1505	C₂³	—	212	8	no	—
1506	C₂³	—	212	32	no	—
1507	C₂³	—	212	32	no	—
1508	C₂³	—	212	32	no	—
1509	C₂³	—	212	256	no	—
1510	C₂³	—	212	32	no	—
1511	C₂³	C₂×D₄×D₅₃	1	8	yes	—
1512	C₂³	#13133262	1	4	yes	complemented
1513	C₂³	C₂⁴×D₅₃	1	4	yes	—
1514	C₂³	C₂⁴×D₅₃	1	4	yes	—
1515	C₂³	C₂⁴×D₅₃	1	2	yes	—
1516	C₂³	C₂⁴×D₅₃	1	4	yes	—
1517	C₂³	C₂⁴×D₅₃	1	2	yes	—
1518	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1519	Q₈	—	106	8	no	—
1520	Q₈	—	106	8	no	—
1521	D₄	—	2	16	no	—
1522	D₄	—	2	16	no	—
1523	D₄	—	2	8	no	—
1524	D₄	—	2	16	no	—
1525	D₄	—	2	8	no	—
1526	D₄	—	2	8	no	—
1527	D₄	—	4	8	no	—
1528	D₄	—	4	8	no	—
1529	D₄	—	4	8	no	—
1530	D₄	—	53	32	no	—
1531	D₄	—	53	16	no	—
1532	D₄	—	106	16	no	—
1533	D₄	—	106	8	no	—
1534	D₄	—	106	8	no	—
1535	D₄	—	106	16	no	—
1536	D₄	—	106	8	no	—
1537	D₄	—	106	16	no	—
1538	D₄	—	106	8	no	—
1539	D₄	—	106	16	no	—
1540	D₄	—	106	16	no	—
1541	D₄	—	106	16	no	—
1542	D₄	—	106	16	no	—
1543	D₄	—	106	8	no	—
1544	D₄	—	106	16	no	—
1545	D₄	—	106	16	no	—
1546	D₄	—	106	8	no	—
1547	D₄	—	106	8	no	—
1548	D₄	—	212	8	no	—
1549	D₄	—	212	8	no	—
1550	D₄	—	212	8	no	—
1551	D₄	—	212	8	no	—
1552	D₄	—	212	8	no	—
1553	D₄	C₂×D₄×D₅₃	1	16	yes	complemented
1554	C₂×C₄	—	2	2	no	—
1555	C₂×C₄	—	2	2	no	—
1556	C₂×C₄	—	2	2	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	4	no	—
1559	C₂×C₄	—	2	8	no	—
1560	C₂×C₄	—	2	8	no	—
1561	C₂×C₄	—	4	8	no	—
1562	C₂×C₄	—	53	4	no	—
1563	C₂×C₄	—	53	2	no	—
1564	C₂×C₄	—	53	16	no	—
1565	C₂×C₄	—	53	4	no	—
1566	C₂×C₄	—	53	2	no	—
1567	C₂×C₄	—	53	2	no	—
1568	C₂×C₄	—	53	2	no	—
1569	C₂×C₄	—	53	4	no	—
1570	C₂×C₄	—	53	2	no	—
1571	C₂×C₄	—	106	8	no	—
1572	C₂×C₄	—	106	8	no	—
1573	C₂×C₄	—	106	16	no	—
1574	C₂×C₄	—	106	8	no	—
1575	C₂×C₄	—	106	16	no	—
1576	C₂×C₄	—	106	2	no	—
1577	C₂×C₄	—	106	4	no	—
1578	C₂×C₄	—	106	2	no	—
1579	C₂×C₄	—	106	16	no	—
1580	C₂×C₄	—	106	4	no	—
1581	C₂×C₄	—	106	2	no	—
1582	C₂×C₄	—	106	2	no	—
1583	C₂×C₄	—	106	8	no	—
1584	C₂×C₄	—	106	8	no	—
1585	C₂×C₄	—	212	8	no	—
1586	C₂×C₄	—	212	8	no	—
1587	C₂×C₄	—	212	8	no	—
1588	C₂×C₄	C₂×D₄×D₅₃	1	4	yes	—
1589	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1590	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1591	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1592	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1593	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1594	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1595	C₂²	—	2	8	no	—
1596	C₂²	—	2	16	no	—
1597	C₂²	—	2	2	no	—
1598	C₂²	—	2	4	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	4	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	4	no	—
1603	C₂²	—	2	4	no	—
1604	C₂²	—	2	4	no	—
1605	C₂²	—	2	4	no	—
1606	C₂²	—	2	2	no	—
1607	C₂²	—	2	2	no	—
1608	C₂²	—	2	4	no	—
1609	C₂²	—	2	4	no	—
1610	C₂²	—	4	32	no	—
1611	C₂²	—	4	8	no	—
1612	C₂²	—	4	4	no	—
1613	C₂²	—	4	8	no	—
1614	C₂²	—	8	16	no	—
1615	C₂²	—	53	4	no	—
1616	C₂²	—	53	8	no	—
1617	C₂²	—	53	4	no	—
1618	C₂²	—	106	32	no	—
1619	C₂²	—	106	8	no	—
1620	C₂²	—	106	8	no	—
1621	C₂²	—	106	16	no	—
1622	C₂²	—	106	2	no	—
1623	C₂²	—	106	4	no	—
1624	C₂²	—	106	2	no	—
1625	C₂²	—	106	4	no	—
1626	C₂²	—	106	2	no	—
1627	C₂²	—	106	2	no	—
1628	C₂²	—	106	2	no	—
1629	C₂²	—	106	4	no	—
1630	C₂²	—	106	2	no	—
1631	C₂²	—	106	4	no	—
1632	C₂²	—	106	2	no	—
1633	C₂²	—	106	4	no	—
1634	C₂²	—	424	16	no	—
1635	C₂²	—	212	32	no	—
1636	C₂²	—	212	32	no	—
1637	C₂²	—	212	32	no	—
1638	C₂²	—	212	32	no	—
1639	C₂²	—	212	32	no	—
1640	C₂²	—	212	4	no	—
1641	C₂²	—	212	8	no	—
1642	C₂²	C₂²×D₄×D₅₃	1	8	yes	—
1643	C₂²	C₂²×D₄×D₅₃	1	2	yes	—
1644	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
1645	C₂²	C₂×#13133262	1	2	yes	—
1646	C₂²	C₂×#13133262	1	4	yes	complemented
1647	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1648	C₄	—	2	2	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	4	no	—
1653	C₄	—	53	4	no	—
1654	C₄	—	106	2	no	—
1655	C₄	—	106	4	no	—
1656	C₄	—	106	2	no	—
1657	C₄	—	106	4	no	—
1658	C₄	—	106	2	no	—
1659	C₄	—	106	2	no	—
1660	C₄	C₂²×D₄×D₅₃	1	4	yes	—
1661	C₂	—	2	4	no	—
1662	C₂	—	2	8	no	—
1663	C₂	—	4	4	no	—
1664	C₂	—	4	2	no	—
1665	C₂	—	4	4	no	—
1666	C₂	—	106	4	no	—
1667	C₂	—	106	4	no	—
1668	C₂	—	106	8	no	—
1669	C₂	—	212	2	no	—
1670	C₂	—	212	4	no	—
1671	C₂	#20288343	1	4	yes	direct product factor
1672	C₂	C₂³×D₄×D₅₃	1	1	yes	characteristic
1673	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
1674	C₂	C₂²×#13133262	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×D₄²×C₅₃	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×D₄²	D₅₃
hypocenter	C₅₃	C₂×#3484
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂²×#13133262	C₂	semidirect
2. C₂³×D₄×D₅₃	C₂	semidirect
3. #20288343	C₂	direct (N × H)
4. C₂×#16811270	C₂	semidirect
5. C₂×#16811269	C₂	semidirect
6. C₂×#16811268	C₂	semidirect
7. C₂×#16811267	C₂	semidirect
8. C₂×#16811262	C₂	semidirect
9. C₂×#16811260	C₂	semidirect
10. C₂×#16811258	C₂	semidirect
11. C₂×#16811257	C₂	semidirect
12. C₂×D₄×C₂²⋊D₅₃	C₂	semidirect
13. C₂×D₄×C₂²⋊D₅₃	C₂	semidirect
14. C₂×#16811255	C₂	semidirect
15. C₂×#16811189	C₂	semidirect
16. C₂×#16811186	C₂	semidirect
17. C₂×#16811183	C₂	semidirect
18. C₂×#16811181	C₂	semidirect
19. C₂×#16811133	C₂	semidirect
20. C₂×#16811132	C₂	semidirect
21. C₂²×#13133185	C₂	semidirect
22. C₂×#120×D₅₃	C₂	semidirect
23. C₂×#16811095	C₂	semidirect
24. C₂×D₄²×C₅₃	C₂	semidirect
25. C₂⁵×D₅₃	C₂²	semidirect
27. C₂×#13133262	C₂²	semidirect
28. C₂²×#11719945	C₂²	semidirect
29. C₂²×#11719945	C₂²	semidirect
30. C₂²×#11719947	C₂²	semidirect
31. C₂²×#11719947	C₂²	semidirect
32. C₂²×#11719947	C₂²	semidirect
33. C₂³×D₂₁₂	C₂²	semidirect
34. C₂³×C₂²⋊D₅₃	C₂²	semidirect
35. C₂³×C₂²⋊D₅₃	C₂²	semidirect
36. C₂³×C₂²⋊D₅₃	C₂²	semidirect
37. C₂³×C₂²⋊D₅₃	C₂²	semidirect
40. C₂²×D₄×D₅₃	C₂²	semidirect
41. C₂²×D₄×D₅₃	C₂²	semidirect
42. C₂²×D₄×D₅₃	C₂²	semidirect
43. C₂²×D₄×D₅₃	C₂²	semidirect
44. C₂²×D₄×D₅₃	C₂²	semidirect
45. C₂²×D₄×D₅₃	C₂²	semidirect
46. C₂²×D₄×D₅₃	C₂²	semidirect
47. C₂²×D₄×D₅₃	C₂²	semidirect
48. C₂²×D₄×D₅₃	C₂²	semidirect
49. C₂²×D₄×D₅₃	C₂²	semidirect
50. C₂³×C₄×D₅₃	C₂²	semidirect
51. #16811270	C₂²	semidirect
52. #16811269	C₂²	semidirect
53. #16811268	C₂²	semidirect
54. #16811267	C₂²	semidirect
55. #16811262	C₂²	semidirect
56. #16811260	C₂²	semidirect
57. #16811258	C₂²	semidirect
58. #16811257	C₂²	semidirect
59. D₄×C₂²⋊D₅₃	C₂²	semidirect
60. D₄×C₂²⋊D₅₃	C₂²	semidirect
61. #16811255	C₂²	semidirect
62. #16811189	C₂²	semidirect
63. #16811186	C₂²	semidirect
64. #16811183	C₂²	semidirect
65. #16811181	C₂²	semidirect
66. C₂×#13133213	C₂²	semidirect
67. C₂×#13133213	C₂²	semidirect
68. C₂×#13133205	C₂²	semidirect
69. C₂×#13133204	C₂²	semidirect
70. C₂×#13133203	C₂²	semidirect
71. #16811133	C₂²	semidirect
72. #16811132	C₂²	semidirect
73. C₂×#13133202	C₂²	semidirect
74. C₂×#13133202	C₂²	semidirect
75. C₂×#13133201	C₂²	semidirect
76. C₂×#13133199	C₂²	semidirect
77. C₂×#13133199	C₂²	semidirect
78. C₂×#13133199	C₂²	semidirect
79. C₂×#13133198	C₂²	semidirect
80. C₂×#13133197	C₂²	semidirect
81. C₂×#13133196	C₂²	semidirect
82. C₂×#13133195	C₂²	semidirect
83. C₂×#13133194	C₂²	semidirect
84. C₂×#13133192	C₂²	semidirect
85. C₂×#13133191	C₂²	semidirect
86. C₂×#13133191	C₂²	semidirect
87. C₂×#13133190	C₂²	semidirect
88. C₂×#13133190	C₂²	semidirect
89. C₂×#13133190	C₂²	semidirect
90. C₂×#13133189	C₂²	semidirect
91. C₂×#13133189	C₂²	semidirect
92. C₂×#13133189	C₂²	semidirect
93. C₂×#13133189	C₂²	semidirect
94. C₂×#13133189	C₂²	semidirect
95. C₂×#13133188	C₂²	semidirect
96. C₂×#13133188	C₂²	semidirect
97. C₂×#13133188	C₂²	semidirect
98. C₂×#13133188	C₂²	semidirect
99. C₂×#13133187	C₂²	semidirect
100. C₂×#13133187	C₂²	semidirect
101. C₂×#13133187	C₂²	semidirect
102. C₂×#13133187	C₂²	semidirect
103. C₂×#13133186	C₂²	semidirect
104. C₂×#13133186	C₂²	semidirect
105. C₂×#13133185	C₂²	semidirect
106. C₂×#13133185	C₂²	semidirect
107. C₂×#13133185	C₂²	semidirect
108. C₂×#13133185	C₂²	semidirect
109. C₂×#13133185	C₂²	semidirect
110. C₂×#13133185	C₂²	semidirect
111. C₂×#13133185	C₂²	semidirect
112. C₂×#13133185	C₂²	semidirect
113. C₂×#13133185	C₂²	semidirect
114. C₂×#13133185	C₂²	semidirect
115. C₂×#13133185	C₂²	semidirect
116. C₂×#13133185	C₂²	semidirect
117. #120×D₅₃	C₂²	semidirect
118. #16811095	C₂²	semidirect
119. C₂×C₄×D₂₁₂	C₂²	semidirect
120. C₂×C₄×D₂₁₂	C₂²	semidirect
121. C₂×D₄×Dic₅₃	C₂²	semidirect
122. C₂×D₄×Dic₅₃	C₂²	semidirect
123. C₂×#13133179	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
126. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
127. C₂×#13133177	C₂²	semidirect
128. C₂×#13133177	C₂²	semidirect
129. C₂×#13133175	C₂²	semidirect
130. C₂×#13133174	C₂²	semidirect
131. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
132. C₂²×#11719921	C₂²	semidirect
133. C₂²×#11719921	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
135. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
136. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
137. C₂³×D₄×C₅₃	C₂²	semidirect
138. C₂³×D₄×C₅₃	C₂²	semidirect
139. C₂³×D₄×C₅₃	C₂²	semidirect
140. D₄²×C₅₃	C₂²	semidirect
141. C₂×#127×C₅₃	C₂²	semidirect
142. C₂×#121×C₅₃	C₂²	semidirect
143. C₂×#121×C₅₃	C₂²	semidirect
144. C₂×#121×C₅₃	C₂²	semidirect
145. C₂×#120×C₅₃	C₂²	semidirect
146. C₂×#120×C₅₃	C₂²	semidirect
147. C₂×C₄×D₄×C₅₃	C₂²	semidirect
148. C₂×C₄×D₄×C₅₃	C₂²	semidirect
158. C₂⁴×D₅₃	C₂³	semidirect
159. C₂⁴×D₅₃	C₂³	semidirect
163. C₂×#11719945	C₂³	semidirect
164. C₂×#11719945	C₂³	semidirect
168. C₂×#11719947	C₂³	semidirect
169. C₂×#11719947	C₂³	semidirect
170. C₂×#11719947	C₂³	semidirect
171. C₂²×Dic₁₀₆	C₂³	semidirect
172. C₂²×Dic₁₀₆	C₂³	semidirect
179. C₂²×D₂₁₂	C₂³	semidirect
180. C₂²×D₂₁₂	C₂³	semidirect
194. C₂²×C₂²⋊D₅₃	C₂³	semidirect
195. C₂²×C₂²⋊D₅₃	C₂³	semidirect
196. C₂²×C₂²⋊D₅₃	C₂³	semidirect
197. C₂²×C₂²⋊D₅₃	C₂³	semidirect
198. C₂²×C₂²⋊D₅₃	C₂³	semidirect
199. C₂²×C₂²⋊D₅₃	C₂³	semidirect
200. C₂²×C₂²⋊D₅₃	C₂³	semidirect
201. C₂²×C₂²⋊D₅₃	C₂³	semidirect
202. C₂²×C₂²⋊D₅₃	C₂³	semidirect
203. C₂²×C₂²⋊D₅₃	C₂³	semidirect
204. C₂²×C₂²⋊D₅₃	C₂³	semidirect
205. C₂²×C₂²⋊D₅₃	C₂³	semidirect
216. C₂×D₄×D₅₃	D₄	semidirect
218. C₂×D₄×D₅₃	C₂³	semidirect
219. C₂×D₄×D₅₃	C₂³	semidirect
220. C₂×D₄×D₅₃	C₂³	semidirect
221. C₂×D₄×D₅₃	C₂³	semidirect
222. C₂×D₄×D₅₃	C₂³	semidirect
223. C₂×D₄×D₅₃	C₂³	semidirect
224. C₂×D₄×D₅₃	C₂³	semidirect
225. C₂×D₄×D₅₃	C₂³	semidirect
226. C₂×D₄×D₅₃	C₂³	semidirect
228. C₂³×Dic₅₃	C₂³	semidirect
229. C₂³×Dic₅₃	C₂³	semidirect
230. C₂³×Dic₅₃	C₂³	semidirect
236. C₂²×C₄×D₅₃	C₂³	semidirect
237. C₂²×C₄×D₅₃	C₂³	semidirect
238. C₂²×C₄×D₅₃	C₂³	semidirect
239. C₂²×C₄×D₅₃	C₂³	semidirect
240. C₂²×C₄×D₅₃	C₂³	semidirect
241. #13133213	C₂³	semidirect
242. #13133213	C₂³	semidirect
243. #13133205	C₂³	semidirect
244. #13133204	C₂³	semidirect
245. #13133203	C₂³	semidirect
246. #13133202	C₂³	semidirect
247. #13133202	C₂³	semidirect
248. #13133201	C₂³	semidirect
249. #13133199	C₂³	semidirect
250. #13133199	C₂³	semidirect
251. #13133199	C₂³	semidirect
252. #13133198	C₂³	semidirect
253. #13133197	C₂³	semidirect
254. #13133196	C₂³	semidirect
255. #13133195	C₂³	semidirect
256. #13133194	C₂³	semidirect
257. #13133192	C₂³	semidirect
258. #13133191	C₂³	semidirect
259. #13133191	C₂³	semidirect
260. #13133190	C₂³	semidirect
261. #13133190	C₂³	semidirect
262. #13133190	C₂³	semidirect
263. #13133189	C₂³	semidirect
264. #13133189	C₂³	semidirect
265. #13133189	C₂³	semidirect
266. #13133189	C₂³	semidirect
267. #13133189	C₂³	semidirect
268. #13133188	C₂³	semidirect
269. #13133188	C₂³	semidirect
270. #13133188	C₂³	semidirect
271. #13133188	C₂³	semidirect
272. #13133187	C₂³	semidirect
273. #13133187	C₂³	semidirect
274. #13133187	C₂³	semidirect
275. #13133187	C₂³	semidirect
276. #13133186	C₂³	semidirect
277. #13133186	C₂³	semidirect
278. #13133185	C₂³	semidirect
279. #13133185	C₂³	semidirect
280. #13133185	C₂³	semidirect
281. #13133185	C₂³	semidirect
282. #13133185	C₂³	semidirect
283. #13133185	C₂³	semidirect
284. #13133185	C₂³	semidirect
285. #13133185	C₂³	semidirect
286. #13133185	C₂³	semidirect
287. #13133185	C₂³	semidirect
288. #13133185	C₂³	semidirect
289. C₄×D₂₁₂	C₂³	semidirect
290. C₄×D₂₁₂	C₂³	semidirect
291. D₄×Dic₅₃	C₂³	semidirect
292. D₄×Dic₅₃	C₂³	semidirect
293. #13133179	C₂³	semidirect
294. C₄×C₂²⋊D₅₃	C₂³	semidirect
295. C₄×C₂²⋊D₅₃	C₂³	semidirect
296. C₄×C₂²⋊D₅₃	C₂³	semidirect
297. #13133177	C₂³	semidirect
298. #13133177	C₂³	semidirect
299. #13133175	C₂³	semidirect
300. #13133174	C₂³	semidirect
301. C₂×C₄⋊Dic₅₃	C₂³	semidirect
302. C₂×C₄⋊Dic₅₃	C₂³	semidirect
303. C₂×C₄⋊Dic₅₃	C₂³	semidirect
304. C₂×#11719919	C₂³	semidirect
305. C₂×#11719919	C₂³	semidirect
306. C₂×#11719919	C₂³	semidirect
307. C₂×#11719919	C₂³	semidirect
308. C₂×#11719919	C₂³	semidirect
311. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
312. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
313. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
314. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
315. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
316. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
317. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
324. C₂×#11719921	C₂³	semidirect
325. C₂×#11719921	C₂³	semidirect
326. C₂×#11719921	C₂³	semidirect
327. C₂×#11719921	C₂³	semidirect
328. C₂×#11719921	C₂³	semidirect
329. C₂×#11719921	C₂³	semidirect
330. C₂×#11719921	C₂³	semidirect
331. C₂×#11719921	C₂³	semidirect
332. C₂×#11719921	C₂³	semidirect
333. C₂×#11719921	C₂³	semidirect
334. C₂²⋊C₄×D₅₃	C₂³	semidirect
335. C₂²⋊C₄×D₅₃	C₂³	semidirect
336. C₂²⋊C₄×D₅₃	C₂³	semidirect
337. C₂×C₄×Dic₅₃	C₂³	semidirect
338. C₂×C₄×Dic₅₃	C₂³	semidirect
340. C₂⁵×C₅₃	C₂³	semidirect
349. C₂²×D₄×C₅₃	C₂³	semidirect
350. C₂²×D₄×C₅₃	C₂³	semidirect
351. C₂²×D₄×C₅₃	C₂³	semidirect
352. C₂²×D₄×C₅₃	C₂³	semidirect
353. C₂²×D₄×C₅₃	C₂³	semidirect
354. C₂²×D₄×C₅₃	C₂³	semidirect
355. C₂²×D₄×C₅₃	C₂³	semidirect
356. C₂²×D₄×C₅₃	C₂³	semidirect
358. C₂³×C₄×C₅₃	C₂³	semidirect
359. C₂³×C₄×C₅₃	C₂³	semidirect
360. #127×C₅₃	C₂³	semidirect
361. #121×C₅₃	C₂³	semidirect
362. #121×C₅₃	C₂³	semidirect
363. #121×C₅₃	C₂³	semidirect
364. #120×C₅₃	C₂³	semidirect
365. #120×C₅₃	C₂³	semidirect
366. C₄×D₄×C₅₃	C₂³	semidirect
367. C₄×D₄×C₅₃	C₂³	semidirect
368. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
369. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
371. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
372. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
373. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
374. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
375. C₂×C₄²×C₅₃	C₂³	semidirect
388. C₂⁴×C₅₃	C₂⁴	semidirect
413. C₂³×D₅₃	C₂×D₄	semidirect
425. C₂³×D₅₃	C₂⁴	semidirect
438. C₂×D₄×C₅₃	C₂×D₄	semidirect
444. C₂×D₄×C₅₃	C₂⁴	semidirect
445. C₂×D₄×C₅₃	C₂⁴	semidirect
446. C₂×D₄×C₅₃	C₂⁴	semidirect
447. C₂×D₄×C₅₃	C₂⁴	semidirect
448. C₂×D₄×C₅₃	C₂⁴	semidirect
459. C₂²×C₄×C₅₃	C₂⁴	semidirect
460. C₂²×C₄×C₅₃	C₂⁴	semidirect
481. C₂×C₂²⋊D₅₃	C₂×D₄	semidirect
491. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
492. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
493. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
494. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
495. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
496. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
497. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
498. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
511. C₂²×Dic₅₃	C₂⁴	semidirect
512. C₂²×Dic₅₃	C₂⁴	semidirect
513. C₂²×Dic₅₃	C₂⁴	semidirect
526. D₄×D₅₃	C₂×D₄	semidirect
535. C₂×D₂₁₂	C₂×D₄	semidirect
541. C₂×D₂₁₂	C₂⁴	semidirect
550. C₂×C₄×D₅₃	C₂×D₄	semidirect
555. C₂×C₄×D₅₃	C₂⁴	semidirect
556. C₂×C₄×D₅₃	C₂⁴	semidirect
557. C₂×C₄×D₅₃	C₂⁴	semidirect
558. C₂×C₄×D₅₃	C₂⁴	semidirect
561. C₂×Dic₁₀₆	C₂⁴	semidirect
562. C₂×Dic₁₀₆	C₂⁴	semidirect
563. C₄⋊C₄×C₅₃	C₂⁴	semidirect
564. C₄⋊C₄×C₅₃	C₂⁴	semidirect
566. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
567. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
568. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
569. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
570. C₄²×C₅₃	C₂⁴	semidirect
573. C₂²⋊Dic₅₃	C₂⁴	semidirect
574. C₂²⋊Dic₅₃	C₂⁴	semidirect
575. C₂²⋊Dic₅₃	C₂⁴	semidirect
576. C₂²⋊Dic₅₃	C₂⁴	semidirect
577. C₂²⋊Dic₅₃	C₂⁴	semidirect
578. C₂²⋊Dic₅₃	C₂⁴	semidirect
585. #11719921	C₂⁴	semidirect
586. #11719921	C₂⁴	semidirect
587. #11719921	C₂⁴	semidirect
588. #11719921	C₂⁴	semidirect
589. #11719921	C₂⁴	semidirect
590. #11719921	C₂⁴	semidirect
591. #11719921	C₂⁴	semidirect
592. #11719921	C₂⁴	semidirect
593. C₄⋊Dic₅₃	C₂⁴	semidirect
594. C₄⋊Dic₅₃	C₂⁴	semidirect
595. C₄⋊Dic₅₃	C₂⁴	semidirect
596. #11719919	C₂⁴	semidirect
597. #11719919	C₂⁴	semidirect
598. #11719919	C₂⁴	semidirect
599. #11719919	C₂⁴	semidirect
600. #11719919	C₂⁴	semidirect
601. C₄×Dic₅₃	C₂⁴	semidirect
602. C₄×Dic₅₃	C₂⁴	semidirect
625. C₂³×C₅₃	H(5,𝔽₂)	semidirect
674. C₂²×D₅₃	C₂²×D₄	semidirect
675. C₂²×D₅₃	H(5,𝔽₂)	semidirect
690. D₄×C₅₃	C₂²×D₄	semidirect
722. C₂²⋊D₅₃	C₂²×D₄	semidirect
746. D₂₁₂	C₂²×D₄	semidirect
754. C₄×D₅₃	C₂²×D₄	semidirect
782. C₂²×C₅₃	C₂×H(5,𝔽₂)	semidirect
810. C₂×D₅₃	C₂×H(5,𝔽₂)	semidirect
838. C₂×D₄²	D₅₃	semidirect
853. C₂×C₅₃	#3484	semidirect
887. C₂³×D₄	C₂×D₅₃	semidirect
888. C₂³×D₄	C₂×D₅₃	semidirect
889. C₂³×D₄	C₂×D₅₃	semidirect
902. D₄²	C₂×D₅₃	semidirect
909. C₂×#127	C₂×D₅₃	semidirect
941. C₂×#121	C₂×D₅₃	semidirect
942. C₂×#121	C₂×D₅₃	semidirect
943. C₂×#121	C₂×D₅₃	semidirect
963. C₂×#120	C₂×D₅₃	semidirect
964. C₂×#120	C₂×D₅₃	semidirect
976. C₂×C₄×D₄	C₂×D₅₃	semidirect
977. C₂×C₄×D₄	C₂×D₅₃	semidirect
986. C₅₃	C₂×#3484	semidirect
999. C₂⁵	C₂²×D₅₃	semidirect
1075. C₂²×D₄	C₂²×D₅₃	semidirect
1076. C₂²×D₄	C₂²×D₅₃	semidirect
1077. C₂²×D₄	C₂²×D₅₃	semidirect
1078. C₂²×D₄	C₂²×D₅₃	semidirect
1079. C₂²×D₄	C₂²×D₅₃	semidirect
1080. C₂²×D₄	C₂²×D₅₃	semidirect
1081. C₂²×D₄	C₂²×D₅₃	semidirect
1082. C₂²×D₄	C₂²×D₅₃	semidirect
1098. C₂³×C₄	C₂²×D₅₃	semidirect
1099. C₂³×C₄	C₂²×D₅₃	semidirect
1102. #127	C₂²×D₅₃	semidirect
1132. #121	C₂²×D₅₃	semidirect
1133. #121	C₂²×D₅₃	semidirect
1134. #121	C₂²×D₅₃	semidirect
1152. #120	C₂²×D₅₃	semidirect
1153. #120	C₂²×D₅₃	semidirect
1164. C₄×D₄	C₂²×D₅₃	semidirect
1165. C₄×D₄	C₂²×D₅₃	semidirect
1176. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1177. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1207. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1208. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1209. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1210. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1213. C₂×C₄²	C₂²×D₅₃	semidirect
1263. C₂⁴	C₂³×D₅₃	semidirect
1346. C₂×D₄	D₄×D₅₃	semidirect
1352. C₂×D₄	C₂³×D₅₃	semidirect
1353. C₂×D₄	C₂³×D₅₃	semidirect
1354. C₂×D₄	C₂³×D₅₃	semidirect
1355. C₂×D₄	C₂³×D₅₃	semidirect
1356. C₂×D₄	C₂³×D₅₃	semidirect
1399. C₂²×C₄	C₂³×D₅₃	semidirect
1400. C₂²×C₄	C₂³×D₅₃	semidirect
1409. C₄⋊C₄	C₂³×D₅₃	semidirect
1410. C₄⋊C₄	C₂³×D₅₃	semidirect
1434. C₂²⋊C₄	C₂³×D₅₃	semidirect
1435. C₂²⋊C₄	C₂³×D₅₃	semidirect
1436. C₂²⋊C₄	C₂³×D₅₃	semidirect
1437. C₂²⋊C₄	C₂³×D₅₃	semidirect
1440. C₄²	C₂³×D₅₃	semidirect
1512. C₂³	#13133262	semidirect
1553. D₄	C₂×D₄×D₅₃	semidirect
1646. C₂²	C₂×#13133262	semidirect
1671. C₂	#20288343	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13133262	2
C₂³×D₄×D₅₃	2
#20288343	2
C₂×#16811270	2
C₂×#16811269	2
C₂×#16811268	2
C₂×#16811267	2
C₂×#16811262	2
C₂×#16811260	2
C₂×#16811258	2
C₂×#16811257	2
C₂×D₄×C₂²⋊D₅₃	2
C₂×#16811255	2
C₂×#16811189	2
C₂×#16811186	2
C₂×#16811183	2
C₂×#16811181	2
C₂×#16811133	2
C₂×#16811132	2
C₂²×#13133185	2
C₂×#120×D₅₃	2
C₂×#16811095	2
C₂×D₄²×C₅₃	2
C₂×#3484	53

Subgroups — C2×#20288343 #28291968

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288343 #28291968