Subgroups — C₂×#20289410 #28291523

Order 13568.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289410	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811375	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811374	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811372	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811346	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811345	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811345	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811303	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811297	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811247	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811245	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811245	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811244	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811243	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811237	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811213	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811212	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811212	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811212	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811207	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811160	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811156	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#16811151	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
33	#16811375	C₂²	1	16	yes	complemented
34	#16811374	C₂²	1	16	yes	complemented
35	#16811372	C₂²	1	16	yes	complemented
36	#16811365	C₂²	1	16	yes	complemented
37	#16811346	C₂²	1	16	yes	complemented
38	#16811345	C₂²	1	16	yes	complemented
39	#16811345	C₂²	1	16	yes	complemented
40	#16811340	C₂²	1	16	yes	complemented
41	#16811340	C₂²	1	16	yes	complemented
42	#16811303	C₂²	1	16	yes	complemented
43	#16811302	C₂²	1	16	yes	complemented
44	#16811300	C₂²	1	16	yes	complemented
45	#16811298	C₂²	1	16	yes	complemented
46	#16811297	C₂²	1	16	yes	complemented
47	#16811297	C₂²	1	16	yes	complemented
48	#16811247	C₂²	1	16	yes	complemented
49	#16811245	C₂²	1	16	yes	complemented
50	#16811245	C₂²	1	16	yes	complemented
51	#16811244	C₂²	1	16	yes	complemented
52	#16811243	C₂²	1	16	yes	complemented
53	#16811237	C₂²	1	16	yes	complemented
54	#16811213	C₂²	1	16	yes	complemented
55	#16811212	C₂²	1	16	yes	complemented
56	#16811212	C₂²	1	16	yes	complemented
57	#16811212	C₂²	1	16	yes	complemented
58	#16811207	C₂²	1	16	yes	complemented
59	#16811206	C₂²	1	16	yes	complemented
60	C₂×#13133217	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
65	#16811160	C₂²	1	16	yes	complemented
66	#16811156	C₂²	1	16	yes	complemented
67	#16811151	C₂²	1	16	yes	complemented
68	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
71	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133206	C₂²	1	1	yes	characteristic
94	C₂×#13133206	C₂²	1	1	yes	characteristic
95	C₂×#13133206	C₂²	1	1	yes	characteristic
96	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133205	C₂²	1	1	yes	characteristic
99	C₂×#13133205	C₂²	1	1	yes	characteristic
100	C₂×#13133205	C₂²	1	1	yes	characteristic
101	C₂×#13133205	C₂²	1	1	yes	characteristic
102	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133203	C₂²	1	1	yes	characteristic
105	C₂×#13133203	C₂²	1	1	yes	characteristic
106	C₂×#13133203	C₂²	1	1	yes	characteristic
107	C₂×#13133203	C₂²	1	1	yes	characteristic
108	C₂×#13133203	C₂²	1	1	yes	characteristic
109	C₂×#13133203	C₂²	1	1	yes	characteristic
110	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133202	C₂²	1	1	yes	characteristic
113	C₂×#13133202	C₂²	1	1	yes	characteristic
114	C₂×#13133202	C₂²	1	1	yes	characteristic
115	C₂×#13133202	C₂²	1	1	yes	characteristic
116	C₂×#13133202	C₂²	1	1	yes	characteristic
117	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133201	C₂²	1	1	yes	characteristic
122	C₂×#13133200	C₂²	1	1	yes	characteristic
123	C₂×#13133200	C₂²	1	1	yes	characteristic
124	C₂×#13133199	C₂²	1	1	yes	characteristic
125	C₂×#13133199	C₂²	1	1	yes	characteristic
126	C₂×#13133199	C₂²	1	1	yes	characteristic
127	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133198	C₂²	1	1	yes	characteristic
130	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
139	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
140	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
147	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
149	C₂×#13133192	C₂²	1	1	yes	characteristic
150	C₂×#13133192	C₂²	1	1	yes	characteristic
151	C₂×#13133192	C₂²	1	1	yes	characteristic
152	C₂×#13133192	C₂²	1	1	yes	characteristic
153	C₂×#13133191	C₂²	1	1	yes	characteristic
154	C₂×#13133190	C₂²	1	1	yes	characteristic
155	C₂×#13133190	C₂²	1	1	yes	characteristic
156	C₂×#13133190	C₂²	1	1	yes	characteristic
157	C₂×#13133189	C₂²	1	1	yes	characteristic
158	C₂×#13133187	C₂²	1	1	yes	characteristic
159	C₂×#13133187	C₂²	1	1	yes	characteristic
160	C₂×#13133187	C₂²	1	1	yes	characteristic
161	C₂×#13133187	C₂²	1	1	yes	characteristic
162	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
163	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
164	C₂×#13133185	C₂²	1	1	yes	characteristic
165	C₂×#13133185	C₂²	1	1	yes	characteristic
166	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
167	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
173	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
174	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
175	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133179	C₂²	1	1	yes	characteristic
178	C₂×#13133179	C₂²	1	1	yes	characteristic
179	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
180	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
181	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133177	C₂²	1	1	yes	characteristic
183	C₂×#13133177	C₂²	1	1	yes	characteristic
184	C₂×#13133177	C₂²	1	1	yes	characteristic
185	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
191	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
192	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
193	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
194	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
195	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
196	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₅₃×#556	C₂²	1	16	yes	complemented
204	C₂×C₄⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
209	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic
211	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
217	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
218	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
221	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
223	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
227	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
228	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
229	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
230	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
231	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
232	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
233	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
234	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
241	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
254	#13133217	C₂³	1	8	yes	complemented
255	#13133216	C₂³	1	8	yes	complemented
256	#13133216	C₂³	1	8	yes	complemented
257	#13133215	C₂³	1	8	yes	complemented
258	#13133215	C₂³	1	8	yes	complemented
259	#13133212	C₂³	1	8	yes	complemented
260	#13133212	C₂³	1	8	yes	complemented
261	#13133212	C₂³	1	8	yes	complemented
262	#13133212	C₂³	1	8	yes	complemented
263	#13133212	C₂³	1	8	yes	complemented
264	#13133212	C₂³	1	8	yes	complemented
265	#13133212	C₂³	1	8	yes	complemented
266	#13133212	C₂³	1	8	yes	complemented
267	#13133212	C₂³	1	8	yes	complemented
268	#13133212	C₂³	1	8	yes	complemented
269	#13133212	C₂³	1	8	yes	complemented
270	#13133212	C₂³	1	8	yes	complemented
271	#13133211	C₂³	1	8	yes	complemented
272	#13133211	C₂³	1	8	yes	complemented
273	#13133211	C₂³	1	8	yes	complemented
274	#13133211	C₂³	1	8	yes	complemented
275	#13133211	C₂³	1	8	yes	complemented
276	#13133211	C₂³	1	8	yes	complemented
277	#13133210	C₂³	1	8	yes	complemented
278	#13133210	C₂³	1	8	yes	complemented
279	#13133210	C₂³	1	8	yes	complemented
280	#13133210	C₂³	1	8	yes	complemented
281	#13133208	C₂³	1	8	yes	complemented
282	#13133207	C₂³	1	8	yes	complemented
283	#13133207	C₂³	1	8	yes	complemented
284	#13133206	C₂³	1	8	yes	—
285	#13133206	C₂³	1	8	yes	—
286	#13133206	C₂³	1	8	yes	—
287	#13133206	C₂³	1	8	yes	complemented
288	#13133206	C₂³	1	8	yes	complemented
289	#13133205	C₂³	1	8	yes	—
290	#13133205	C₂³	1	8	yes	—
291	#13133205	C₂³	1	8	yes	—
292	#13133205	C₂³	1	8	yes	—
293	#13133205	C₂³	1	8	yes	complemented
294	#13133205	C₂³	1	8	yes	complemented
295	#13133203	C₂³	1	8	yes	—
296	#13133203	C₂³	1	8	yes	—
297	#13133203	C₂³	1	8	yes	—
298	#13133203	C₂³	1	8	yes	—
299	#13133203	C₂³	1	8	yes	—
300	#13133203	C₂³	1	8	yes	—
301	#13133203	C₂³	1	8	yes	complemented
302	#13133203	C₂³	1	8	yes	complemented
303	#13133202	C₂³	1	8	yes	—
304	#13133202	C₂³	1	8	yes	—
305	#13133202	C₂³	1	8	yes	—
306	#13133202	C₂³	1	8	yes	—
307	#13133202	C₂³	1	8	yes	—
308	#13133202	C₂³	1	8	yes	complemented
309	#13133202	C₂³	1	8	yes	complemented
310	#13133202	C₂³	1	8	yes	complemented
311	#13133202	C₂³	1	8	yes	complemented
312	#13133201	C₂³	1	8	yes	—
313	#13133200	C₂³	1	8	yes	—
314	#13133200	C₂³	1	8	yes	—
315	#13133199	C₂³	1	8	yes	—
316	#13133199	C₂³	1	8	yes	—
317	#13133199	C₂³	1	8	yes	—
318	#13133199	C₂³	1	8	yes	complemented
319	#13133199	C₂³	1	8	yes	complemented
320	#13133198	C₂³	1	8	yes	—
321	#13133197	C₂³	1	8	yes	complemented
322	#13133196	C₂³	1	8	yes	complemented
323	#13133195	C₂³	1	8	yes	complemented
324	#13133195	C₂³	1	8	yes	complemented
325	#13133195	C₂³	1	8	yes	complemented
326	#13133195	C₂³	1	8	yes	complemented
327	#13133195	C₂³	1	8	yes	complemented
328	#13133195	C₂³	1	8	yes	complemented
329	#13133195	C₂³	1	8	yes	complemented
330	#13133195	C₂³	1	8	yes	complemented
331	#13133195	C₂³	1	8	yes	complemented
332	#13133194	C₂³	1	8	yes	complemented
333	#13133194	C₂³	1	8	yes	complemented
334	#13133194	C₂³	1	8	yes	complemented
335	#13133193	C₂³	1	8	yes	complemented
336	#13133193	C₂³	1	8	yes	complemented
337	#13133193	C₂³	1	8	yes	complemented
338	#13133193	C₂³	1	8	yes	complemented
339	#13133193	C₂³	1	8	yes	complemented
340	#13133192	C₂³	1	8	yes	—
341	#13133192	C₂³	1	8	yes	—
342	#13133192	C₂³	1	8	yes	—
343	#13133192	C₂³	1	8	yes	—
344	#13133191	C₂³	1	8	yes	—
345	#13133190	C₂³	1	8	yes	—
346	#13133190	C₂³	1	8	yes	—
347	#13133190	C₂³	1	8	yes	—
348	#13133189	C₂³	1	8	yes	—
349	#13133187	C₂³	1	8	yes	—
350	#13133187	C₂³	1	8	yes	—
351	#13133187	C₂³	1	8	yes	—
352	#13133187	C₂³	1	8	yes	—
353	#13133187	C₂³	1	8	yes	complemented
354	#13133187	C₂³	1	8	yes	complemented
355	#13133185	C₂³	1	8	yes	—
356	#13133185	C₂³	1	8	yes	—
357	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
358	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
359	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
360	#13133182	C₂³	1	8	yes	complemented
361	#13133182	C₂³	1	8	yes	complemented
362	#13133182	C₂³	1	8	yes	complemented
363	C₄×D₂₁₂	C₂³	1	8	yes	—
364	C₄×D₂₁₂	C₂³	1	8	yes	—
365	C₄×D₂₁₂	C₂³	1	8	yes	complemented
366	C₄×D₂₁₂	C₂³	1	8	yes	complemented
367	C₄×D₂₁₂	C₂³	1	8	yes	complemented
368	#13133179	C₂³	1	8	yes	—
369	#13133179	C₂³	1	8	yes	—
370	#13133179	C₂³	1	8	yes	complemented
371	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
372	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
373	#13133177	C₂³	1	8	yes	—
374	#13133177	C₂³	1	8	yes	—
375	#13133177	C₂³	1	8	yes	—
376	#13133177	C₂³	1	8	yes	complemented
377	#13133175	C₂³	1	8	yes	complemented
378	#13133175	C₂³	1	8	yes	complemented
379	#13133174	C₂³	1	8	yes	complemented
380	#13133174	C₂³	1	8	yes	complemented
381	#13133174	C₂³	1	8	yes	complemented
382	#13133174	C₂³	1	8	yes	complemented
383	#13133174	C₂³	1	8	yes	complemented
384	#13133174	C₂³	1	8	yes	complemented
385	#13133173	C₂³	1	8	yes	complemented
386	#13133173	C₂³	1	8	yes	complemented
387	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
393	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
394	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
395	C₂×#11719919	C₂³	1	1	yes	characteristic
396	C₂×#11719919	C₂³	1	1	yes	characteristic
397	C₂×#11719919	C₂³	1	1	yes	characteristic
398	C₂×#11719919	C₂³	1	1	yes	characteristic
399	C₂×#11719919	C₂³	1	1	yes	characteristic
400	C₂×#11719919	C₂³	1	1	yes	characteristic
401	C₂×#11719919	C₂³	1	1	yes	characteristic
402	C₂×#11719919	C₂³	1	1	yes	characteristic
403	C₂×#11719919	C₂³	1	1	yes	characteristic
404	C₂×#11719919	C₂³	1	1	yes	characteristic
405	C₂×#11719919	C₂³	1	1	yes	characteristic
406	C₂×#11719919	C₂³	1	1	yes	characteristic
407	C₂×#11719919	C₂³	1	1	yes	characteristic
408	C₂×#11719919	C₂³	1	1	yes	characteristic
409	C₂×#11719919	C₂³	1	1	yes	characteristic
410	C₂×#11719919	C₂³	1	1	yes	characteristic
411	C₂×#11719919	C₂³	1	1	yes	characteristic
412	C₂×#11719919	C₂³	1	1	yes	characteristic
413	C₂×#11719919	C₂³	1	1	yes	characteristic
414	C₂×#11719919	C₂³	1	1	yes	characteristic
415	C₂×#11719919	C₂³	1	1	yes	characteristic
416	C₂×#11719919	C₂³	1	1	yes	characteristic
417	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
418	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
419	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
420	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
421	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
422	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
423	C₂×#11719921	C₂³	1	1	yes	characteristic
424	C₂×#11719921	C₂³	1	1	yes	characteristic
425	C₂×#11719921	C₂³	1	1	yes	characteristic
426	C₂×#11719921	C₂³	1	1	yes	characteristic
427	C₂×#11719921	C₂³	1	1	yes	characteristic
428	C₂×#11719921	C₂³	1	1	yes	characteristic
429	C₂×#11719921	C₂³	1	1	yes	characteristic
430	C₂×#11719921	C₂³	1	1	yes	characteristic
431	C₂×#11719921	C₂³	1	1	yes	characteristic
432	C₂×#11719921	C₂³	1	1	yes	characteristic
433	C₂×#11719921	C₂³	1	1	yes	characteristic
434	C₂×#11719921	C₂³	1	1	yes	characteristic
435	C₂×#11719921	C₂³	1	1	yes	characteristic
436	C₂×#11719921	C₂³	1	1	yes	characteristic
437	C₂×#11719921	C₂³	1	1	yes	characteristic
438	C₂×#11719921	C₂³	1	1	yes	characteristic
439	C₂×#11719921	C₂³	1	1	yes	characteristic
440	C₂×#11719921	C₂³	1	1	yes	characteristic
441	C₂×#11719921	C₂³	1	1	yes	characteristic
442	C₂×#11719921	C₂³	1	1	yes	characteristic
443	C₂×#11719921	C₂³	1	1	yes	characteristic
444	C₂×#11719921	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	1	yes	characteristic
446	C₂×#11719921	C₂³	1	1	yes	characteristic
447	C₂×#11719921	C₂³	1	1	yes	characteristic
448	C₂×#11719921	C₂³	1	1	yes	characteristic
449	C₂×#11719921	C₂³	1	1	yes	characteristic
450	C₂×#11719921	C₂³	1	1	yes	characteristic
451	C₂×#11719921	C₂³	1	1	yes	characteristic
452	C₂×#11719921	C₂³	1	1	yes	characteristic
453	C₂×#11719921	C₂³	1	1	yes	characteristic
454	C₂×#11719921	C₂³	1	1	yes	characteristic
455	C₂×#11719921	C₂³	1	1	yes	characteristic
456	C₂×#11719921	C₂³	1	1	yes	characteristic
457	C₂×#11719921	C₂³	1	1	yes	characteristic
458	C₂×#11719921	C₂³	1	1	yes	characteristic
459	C₂×#11719921	C₂³	1	1	yes	characteristic
460	C₂×#11719921	C₂³	1	1	yes	characteristic
461	C₂×#11719921	C₂³	1	8	yes	complemented
462	C₂×#11719921	C₂³	1	8	yes	complemented
463	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
464	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
465	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
466	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
467	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
468	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
469	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
478	C₄²×D₅₃	C₂³	1	8	yes	complemented
479	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
480	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
481	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
482	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
483	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
484	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
485	C₄⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
486	#126×C₅₃	C₂³	1	8	yes	complemented
487	#126×C₅₃	C₂³	1	8	yes	complemented
488	#126×C₅₃	C₂³	1	8	yes	complemented
489	#126×C₅₃	C₂³	1	8	yes	complemented
490	#124×C₅₃	C₂³	1	8	yes	—
491	#124×C₅₃	C₂³	1	8	yes	—
492	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
493	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
494	C₄×Q₈×C₅₃	C₂³	1	8	yes	complemented
495	C₄×Q₈×C₅₃	C₂³	1	8	yes	complemented
496	C₄×Q₈×C₅₃	C₂³	1	8	yes	complemented
497	C₄×D₄×C₅₃	C₂³	1	8	yes	—
498	#117×C₅₃	C₂³	1	8	yes	complemented
499	#117×C₅₃	C₂³	1	8	yes	complemented
500	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
501	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
502	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
504	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
505	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
507	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
508	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
512	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
513	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
514	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
515	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
516	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
517	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
518	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
519	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
529	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
530	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
531	C₂³×D₅₃	—	4	2	no	—
532	C₂³×D₅₃	—	4	2	no	—
533	C₂³×D₅₃	—	4	2	no	—
534	C₂³×D₅₃	—	4	2	no	—
535	C₂³×D₅₃	—	4	2	no	—
536	C₂³×D₅₃	—	4	2	no	—
537	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
539	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
540	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
541	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
542	C₂³×D₅₃	C₂⁴	1	4	yes	—
543	C₂³×D₅₃	C₂⁴	1	4	yes	—
544	C₂×Q₈×C₅₃	—	4	2	no	—
545	C₂×Q₈×C₅₃	—	4	2	no	—
546	C₂×Q₈×C₅₃	—	4	2	no	—
547	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
548	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
549	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
550	C₂×D₄×C₅₃	—	4	2	no	—
551	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
552	C₂²×C₄×C₅₃	—	4	2	no	—
553	C₂²×C₄×C₅₃	—	4	2	no	—
554	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
563	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
568	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
569	C₂×C₂²⋊D₅₃	—	4	2	no	—
570	C₂×C₂²⋊D₅₃	—	4	2	no	—
571	C₂×C₂²⋊D₅₃	—	4	2	no	—
572	C₂×C₂²⋊D₅₃	—	4	2	no	—
573	C₂×C₂²⋊D₅₃	—	4	2	no	—
574	C₂×C₂²⋊D₅₃	—	4	2	no	—
575	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
577	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
578	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
579	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
580	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
581	C₂²×Dic₅₃	—	4	2	no	—
582	C₂²×Dic₅₃	—	4	2	no	—
583	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
593	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
595	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
596	C₂×D₂₁₂	—	4	2	no	—
597	C₂×D₂₁₂	—	4	2	no	—
598	C₂×D₂₁₂	—	4	2	no	—
599	C₂×D₂₁₂	—	4	2	no	—
600	C₂×D₂₁₂	—	4	2	no	—
601	C₂×D₂₁₂	—	4	2	no	—
602	C₂×D₂₁₂	—	4	2	no	—
603	C₂×D₂₁₂	—	4	2	no	—
604	C₂×D₂₁₂	C₂⁴	1	4	yes	—
605	C₂×D₂₁₂	C₂⁴	1	4	yes	—
606	C₂×D₂₁₂	C₂⁴	1	4	yes	—
607	C₂×D₂₁₂	C₂⁴	1	4	yes	—
608	C₂×D₂₁₂	C₂⁴	1	4	yes	—
609	C₂×D₂₁₂	C₂⁴	1	4	yes	—
610	C₂×D₂₁₂	C₂⁴	1	4	yes	—
611	C₂×D₂₁₂	C₂⁴	1	4	yes	—
612	C₂×C₄×D₅₃	—	4	2	no	—
613	C₂×C₄×D₅₃	—	4	2	no	—
614	C₂×C₄×D₅₃	—	4	2	no	—
615	C₂×C₄×D₅₃	—	4	2	no	—
616	C₂×C₄×D₅₃	—	4	2	no	—
617	C₂×C₄×D₅₃	—	4	2	no	—
618	C₂×C₄×D₅₃	—	4	2	no	—
619	C₂×C₄×D₅₃	—	4	2	no	—
620	C₂×C₄×D₅₃	—	4	2	no	—
621	C₂×C₄×D₅₃	—	4	2	no	—
622	C₂×C₄×D₅₃	—	4	2	no	—
623	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
624	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
625	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
626	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
627	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
628	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
629	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
630	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
631	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
632	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
633	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
634	C₂×Dic₁₀₆	—	4	2	no	—
635	C₂×Dic₁₀₆	—	4	2	no	—
636	C₂×Dic₁₀₆	—	4	2	no	—
637	C₂×Dic₁₀₆	—	4	2	no	—
638	C₂×Dic₁₀₆	—	4	2	no	—
639	C₂×Dic₁₀₆	—	4	2	no	—
640	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
641	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
642	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
643	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
644	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
645	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
650	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
651	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
652	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
656	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
667	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
668	C₄²×C₅₃	C₂⁴	1	4	yes	—
669	C₄²×C₅₃	C₂⁴	1	4	yes	—
670	C₄²×C₅₃	C₂⁴	1	4	yes	—
671	C₄²×C₅₃	C₂⁴	1	4	yes	—
672	C₄²×C₅₃	C₂⁴	1	4	yes	—
673	C₄²×C₅₃	C₂⁴	1	4	yes	—
674	C₄²×C₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
676	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
677	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
678	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
679	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
680	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
681	#11719921	C₂⁴	1	4	yes	—
682	#11719921	C₂⁴	1	4	yes	—
683	#11719921	C₂⁴	1	4	yes	—
684	#11719921	C₂⁴	1	4	yes	—
685	#11719921	C₂⁴	1	4	yes	—
686	#11719921	C₂⁴	1	4	yes	—
687	#11719921	C₂⁴	1	4	yes	—
688	#11719921	C₂⁴	1	4	yes	—
689	#11719921	C₂⁴	1	4	yes	—
690	#11719921	C₂⁴	1	4	yes	—
691	#11719921	C₂⁴	1	4	yes	—
692	#11719921	C₂⁴	1	4	yes	—
693	#11719921	C₂⁴	1	4	yes	—
694	#11719921	C₂⁴	1	4	yes	—
695	#11719921	C₂⁴	1	4	yes	—
696	#11719921	C₂⁴	1	4	yes	—
697	#11719921	C₂⁴	1	4	yes	—
698	#11719921	C₂⁴	1	4	yes	—
699	#11719921	C₂⁴	1	4	yes	—
700	#11719921	C₂⁴	1	4	yes	—
701	#11719921	C₂⁴	1	4	yes	—
702	#11719921	C₂⁴	1	4	yes	—
703	#11719921	C₂⁴	1	4	yes	—
704	#11719921	C₂⁴	1	4	yes	—
705	#11719921	C₂⁴	1	4	yes	—
706	#11719921	C₂⁴	1	4	yes	—
707	#11719921	C₂⁴	1	4	yes	—
708	#11719921	C₂⁴	1	4	yes	—
709	#11719921	C₂⁴	1	4	yes	—
710	#11719921	C₂⁴	1	4	yes	—
711	#11719921	C₂⁴	1	4	yes	—
712	#11719921	C₂⁴	1	4	yes	—
713	#11719921	C₂⁴	1	4	yes	—
714	#11719921	C₂⁴	1	4	yes	—
715	#11719921	C₂⁴	1	4	yes	—
716	#11719921	C₂⁴	1	4	yes	—
717	#11719921	C₂⁴	1	4	yes	—
718	#11719921	C₂⁴	1	4	yes	—
719	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
720	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
721	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
722	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
723	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
724	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
725	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
726	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
727	#11719919	C₂⁴	1	4	yes	—
728	#11719919	C₂⁴	1	4	yes	—
729	#11719919	C₂⁴	1	4	yes	—
730	#11719919	C₂⁴	1	4	yes	—
731	#11719919	C₂⁴	1	4	yes	—
732	#11719919	C₂⁴	1	4	yes	—
733	#11719919	C₂⁴	1	4	yes	—
734	#11719919	C₂⁴	1	4	yes	—
735	#11719919	C₂⁴	1	4	yes	—
736	#11719919	C₂⁴	1	4	yes	—
737	#11719919	C₂⁴	1	4	yes	—
738	#11719919	C₂⁴	1	4	yes	—
739	#11719919	C₂⁴	1	4	yes	—
740	#11719919	C₂⁴	1	4	yes	—
741	#11719919	C₂⁴	1	4	yes	—
742	#11719919	C₂⁴	1	4	yes	—
743	#11719919	C₂⁴	1	4	yes	—
744	#11719919	C₂⁴	1	4	yes	—
745	#11719919	C₂⁴	1	4	yes	—
746	#11719919	C₂⁴	1	4	yes	—
747	#11719919	C₂⁴	1	4	yes	—
748	#11719919	C₂⁴	1	4	yes	—
749	C₄×Dic₅₃	C₂⁴	1	4	yes	—
750	C₄×Dic₅₃	C₂⁴	1	4	yes	—
751	C₄×Dic₅₃	C₂⁴	1	4	yes	—
752	C₄×Dic₅₃	C₂⁴	1	4	yes	—
753	C₄×Dic₅₃	C₂⁴	1	4	yes	—
754	C₄×Dic₅₃	C₂⁴	1	4	yes	—
755	C₄×Dic₅₃	C₂⁴	1	4	yes	—
756	C₄×Dic₅₃	C₂⁴	1	4	yes	—
757	C₄×Dic₅₃	C₂⁴	1	4	yes	—
758	C₄×Dic₅₃	C₂⁴	1	4	yes	—
759	C₄×Dic₅₃	C₂⁴	1	4	yes	—
760	C₂³×C₅₃	—	2	2	no	—
761	C₂³×C₅₃	—	2	2	no	—
762	C₂³×C₅₃	—	2	2	no	—
763	C₂³×C₅₃	—	2	2	no	—
764	C₂³×C₅₃	—	2	2	no	—
765	C₂³×C₅₃	—	2	2	no	—
766	C₂³×C₅₃	C₂⁵	1	2	yes	—
767	C₂³×C₅₃	C₂⁵	1	2	yes	—
768	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
769	C₂²×D₅₃	—	2	2	no	—
770	C₂²×D₅₃	—	2	2	no	—
771	C₂²×D₅₃	—	2	2	no	—
772	C₂²×D₅₃	—	2	2	no	—
773	C₂²×D₅₃	—	2	2	no	—
774	C₂²×D₅₃	—	2	2	no	—
775	C₂²×D₅₃	—	2	2	no	—
776	C₂²×D₅₃	—	2	2	no	—
777	C₂²×D₅₃	—	2	2	no	—
778	C₂²×D₅₃	—	2	2	no	—
779	C₂²×D₅₃	—	2	2	no	—
780	C₂²×D₅₃	—	2	2	no	—
781	C₂²×D₅₃	—	2	2	no	—
782	C₂²×D₅₃	—	2	2	no	—
783	C₂²×D₅₃	—	2	2	no	—
784	C₂²×D₅₃	—	4	4	no	—
785	C₂²×D₅₃	—	4	4	no	—
786	C₂²×D₅₃	—	4	4	no	—
787	C₂²×D₅₃	—	4	4	no	—
788	C₂²×D₅₃	—	4	4	no	—
789	C₂²×D₅₃	—	4	4	no	—
790	C₂²×D₅₃	—	8	8	no	—
791	C₂²×D₅₃	—	8	8	no	—
792	C₂²×D₅₃	C₂⁵	1	2	yes	—
793	C₂²×D₅₃	C₂⁵	1	2	yes	—
794	C₂²×D₅₃	C₂⁵	1	2	yes	—
795	C₂²×D₅₃	C₂⁵	1	2	yes	—
796	C₂²×D₅₃	C₂⁵	1	2	yes	—
797	Q₈×C₅₃	—	4	4	no	—
798	Q₈×C₅₃	—	4	4	no	—
799	Q₈×C₅₃	—	4	4	no	—
800	D₄×C₅₃	—	4	4	no	—
801	C₂×C₄×C₅₃	—	2	2	no	—
802	C₂×C₄×C₅₃	—	2	2	no	—
803	C₂×C₄×C₅₃	—	2	2	no	—
804	C₂×C₄×C₅₃	—	2	2	no	—
805	C₂×C₄×C₅₃	—	2	2	no	—
806	C₂×C₄×C₅₃	—	2	2	no	—
807	C₂×C₄×C₅₃	—	2	2	no	—
808	C₂×C₄×C₅₃	—	2	2	no	—
809	C₂×C₄×C₅₃	—	2	2	no	—
810	C₂×C₄×C₅₃	—	2	2	no	—
811	C₂×C₄×C₅₃	—	2	2	no	—
812	C₂×C₄×C₅₃	—	2	2	no	—
813	C₂×C₄×C₅₃	—	2	2	no	—
814	C₂×C₄×C₅₃	—	4	4	no	—
815	C₂×C₄×C₅₃	—	4	4	no	—
816	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
817	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
818	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
819	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
820	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
821	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
822	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
823	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
824	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
825	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
826	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
827	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
828	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
829	C₂²⋊D₅₃	—	4	4	no	—
830	C₂²⋊D₅₃	—	4	4	no	—
831	C₂²⋊D₅₃	—	4	4	no	—
832	C₂²⋊D₅₃	—	4	4	no	—
833	C₂²⋊D₅₃	—	4	4	no	—
834	C₂²⋊D₅₃	—	4	4	no	—
835	C₂×Dic₅₃	—	2	2	no	—
836	C₂×Dic₅₃	—	2	2	no	—
837	C₂×Dic₅₃	—	2	2	no	—
838	C₂×Dic₅₃	—	2	2	no	—
839	C₂×Dic₅₃	—	2	2	no	—
840	C₂×Dic₅₃	—	2	2	no	—
841	C₂×Dic₅₃	—	2	2	no	—
842	C₂×Dic₅₃	—	2	2	no	—
843	C₂×Dic₅₃	—	2	2	no	—
844	C₂×Dic₅₃	—	2	2	no	—
845	C₂×Dic₅₃	—	2	2	no	—
846	C₂×Dic₅₃	—	4	4	no	—
847	C₂×Dic₅₃	—	4	4	no	—
848	C₂×Dic₅₃	C₂⁵	1	2	yes	—
849	C₂×Dic₅₃	C₂⁵	1	2	yes	—
850	C₂×Dic₅₃	C₂⁵	1	2	yes	—
851	C₂×Dic₅₃	C₂⁵	1	2	yes	—
852	C₂×Dic₅₃	C₂⁵	1	2	yes	—
853	C₂×Dic₅₃	C₂⁵	1	2	yes	—
854	C₂×Dic₅₃	C₂⁵	1	2	yes	—
855	C₂×Dic₅₃	C₂⁵	1	2	yes	—
856	C₂×Dic₅₃	C₂⁵	1	2	yes	—
857	C₂×Dic₅₃	C₂⁵	1	2	yes	—
858	C₂×Dic₅₃	C₂⁵	1	2	yes	—
859	D₂₁₂	—	4	4	no	—
860	D₂₁₂	—	4	4	no	—
861	D₂₁₂	—	4	4	no	—
862	D₂₁₂	—	4	4	no	—
863	D₂₁₂	—	4	4	no	—
864	D₂₁₂	—	4	4	no	—
865	D₂₁₂	—	4	4	no	—
866	D₂₁₂	—	4	4	no	—
867	C₄×D₅₃	—	4	4	no	—
868	C₄×D₅₃	—	4	4	no	—
869	C₄×D₅₃	—	4	4	no	—
870	C₄×D₅₃	—	4	4	no	—
871	C₄×D₅₃	—	4	4	no	—
872	C₄×D₅₃	—	4	4	no	—
873	C₄×D₅₃	—	4	4	no	—
874	C₄×D₅₃	—	4	4	no	—
875	C₄×D₅₃	—	4	4	no	—
876	C₄×D₅₃	—	4	4	no	—
877	C₄×D₅₃	—	4	4	no	—
878	Dic₁₀₆	—	4	4	no	—
879	Dic₁₀₆	—	4	4	no	—
880	Dic₁₀₆	—	4	4	no	—
881	Dic₁₀₆	—	4	4	no	—
882	Dic₁₀₆	—	4	4	no	—
883	Dic₁₀₆	—	4	4	no	—
884	C₂×#3568	—	53	1	no	maximal, Sylow
885	C₂²×C₅₃	—	2	2	no	—
886	C₂²×C₅₃	—	2	2	no	—
887	C₂²×C₅₃	—	2	2	no	—
888	C₂²×C₅₃	—	2	2	no	—
889	C₂²×C₅₃	—	2	2	no	—
890	C₂²×C₅₃	—	2	2	no	—
891	C₂²×C₅₃	—	4	4	no	—
892	C₂²×C₅₃	—	4	4	no	—
893	C₂²×C₅₃	#585	1	2	yes	—
894	C₂²×C₅₃	#585	1	2	yes	—
895	C₂²×C₅₃	#585	1	2	yes	—
896	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
897	C₂×D₅₃	—	2	2	no	—
898	C₂×D₅₃	—	2	2	no	—
899	C₂×D₅₃	—	2	2	no	—
900	C₂×D₅₃	—	2	2	no	—
901	C₂×D₅₃	—	2	2	no	—
902	C₂×D₅₃	—	2	2	no	—
903	C₂×D₅₃	—	2	2	no	—
904	C₂×D₅₃	—	2	2	no	—
905	C₂×D₅₃	—	2	2	no	—
906	C₂×D₅₃	—	2	2	no	—
907	C₂×D₅₃	—	2	2	no	—
908	C₂×D₅₃	—	2	2	no	—
909	C₂×D₅₃	—	2	2	no	—
910	C₂×D₅₃	—	2	2	no	—
911	C₂×D₅₃	—	2	2	no	—
912	C₂×D₅₃	—	4	4	no	—
913	C₂×D₅₃	—	4	4	no	—
914	C₂×D₅₃	—	4	4	no	—
915	C₂×D₅₃	—	4	4	no	—
916	C₂×D₅₃	—	4	4	no	—
917	C₂×D₅₃	—	8	8	no	—
918	C₂×D₅₃	—	8	8	no	—
919	C₄×C₅₃	—	2	2	no	—
920	C₄×C₅₃	—	2	2	no	—
921	C₄×C₅₃	—	2	2	no	—
922	C₄×C₅₃	—	2	2	no	—
923	C₄×C₅₃	—	2	2	no	—
924	C₄×C₅₃	—	2	2	no	—
925	C₄×C₅₃	—	2	2	no	—
926	C₄×C₅₃	—	2	2	no	—
927	C₄×C₅₃	—	2	2	no	—
928	C₄×C₅₃	—	2	2	no	—
929	C₄×C₅₃	—	2	2	no	—
930	C₄×C₅₃	—	2	2	no	—
931	C₄×C₅₃	—	2	2	no	—
932	Dic₅₃	—	2	2	no	—
933	Dic₅₃	—	2	2	no	—
934	Dic₅₃	—	2	2	no	—
935	Dic₅₃	—	2	2	no	—
936	Dic₅₃	—	2	2	no	—
937	Dic₅₃	—	2	2	no	—
938	Dic₅₃	—	2	2	no	—
939	Dic₅₃	—	2	2	no	—
940	Dic₅₃	—	2	2	no	—
941	Dic₅₃	—	2	2	no	—
942	Dic₅₃	—	2	2	no	—
943	#3568	—	53	32	no	—
944	C₂×#563	—	53	1	no	—
945	C₂×#563	—	53	1	no	—
946	C₂×#563	—	53	1	no	—
947	C₂×H(3,𝔽₄)	—	53	1	no	—
948	C₂×#556	—	53	1	no	—
949	C₂×#556	—	53	1	no	—
950	C₂×#556	—	53	1	no	—
951	C₂×#556	—	53	1	no	—
952	C₂×#556	—	53	1	no	—
953	C₂×#556	D₅₃	1	1	yes	characteristic, complemented
954	C₂×#551	—	53	1	no	—
955	C₂×#551	—	53	1	no	—
956	C₂×#551	—	53	1	no	—
957	C₂×#551	—	53	1	no	—
958	C₂×#551	—	53	1	no	—
959	C₂×#551	—	53	1	no	—
960	C₂×#542	—	53	1	no	—
961	C₂×#542	—	53	1	no	—
962	C₂×#542	—	53	1	no	—
963	C₂×#542	—	53	1	no	—
964	C₂×#542	—	53	1	no	—
965	C₂×#542	—	53	1	no	—
966	C₂×#538	—	53	1	no	—
967	C₂×#538	—	53	1	no	—
968	C₂×#538	—	53	1	no	—
969	C₂×#538	—	53	1	no	—
970	C₂×#538	—	53	1	no	—
971	C₂×#538	—	53	1	no	—
972	C₂×#529	—	53	1	no	—
973	C₂×#529	—	53	1	no	—
974	C₂×#529	—	53	1	no	—
975	C₂×C₅₃	—	4	2	no	—
976	C₂×C₅₃	—	4	2	no	—
977	C₂×C₅₃	#3568	1	4	yes	complemented
978	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
979	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
980	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
981	D₅₃	—	4	2	no	—
982	D₅₃	—	4	2	no	—
983	D₅₃	—	4	2	no	—
984	D₅₃	—	4	2	no	—
985	D₅₃	—	4	2	no	—
986	#563	—	53	16	no	—
987	#563	—	53	16	no	—
988	#563	—	53	16	no	—
989	H(3,𝔽₄)	—	53	16	no	—
990	#556	—	53	16	no	—
991	#556	—	53	16	no	—
992	#556	—	53	16	no	—
993	#556	—	53	16	no	—
994	#556	—	53	16	no	—
995	#556	C₂×D₅₃	1	16	yes	complemented
996	#551	—	53	16	no	—
997	#551	—	53	16	no	—
998	#551	—	53	16	no	—
999	#551	—	53	16	no	—
1000	#551	—	53	16	no	—
1001	#551	—	53	16	no	—
1002	#542	—	53	16	no	—
1003	#542	—	53	16	no	—
1004	#542	—	53	16	no	—
1005	#542	—	53	16	no	—
1006	#542	—	53	16	no	—
1007	#542	—	53	16	no	—
1008	#538	—	53	16	no	—
1009	#538	—	53	16	no	—
1010	#538	—	53	16	no	—
1011	#538	—	53	16	no	—
1012	#538	—	53	16	no	—
1013	#538	—	53	16	no	—
1014	C₂×C₄⋊Q₈	—	53	1	no	—
1015	C₂×C₄⋊Q₈	—	53	1	no	—
1016	C₂×C₄⋊Q₈	—	53	1	no	—
1017	C₂×C₄⋊Q₈	—	53	1	no	—
1018	C₂×C₄⋊Q₈	—	53	1	no	—
1019	C₂×C₄⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1020	#529	—	53	16	no	—
1021	#529	—	53	16	no	—
1022	#529	—	53	16	no	—
1023	C₂×#126	—	53	1	no	—
1024	C₂×#126	—	53	1	no	—
1025	C₂×#126	—	53	1	no	—
1026	C₂×#126	—	53	1	no	—
1027	C₂×#126	—	53	1	no	—
1028	C₂×#126	—	53	1	no	—
1029	C₂×#126	—	53	1	no	—
1030	C₂×#126	—	53	1	no	—
1031	C₂×#126	—	53	1	no	—
1032	C₂×#126	—	53	1	no	—
1033	C₂×#126	—	53	1	no	—
1034	C₂×#126	—	53	1	no	—
1035	C₂×#126	—	53	1	no	—
1036	C₂×#126	—	53	1	no	—
1037	C₂×#126	—	53	1	no	—
1038	C₂×#126	—	53	1	no	—
1039	C₂×#126	—	53	1	no	—
1040	C₂×#126	—	53	1	no	—
1041	C₂×#126	—	53	1	no	—
1042	C₂×#126	—	53	1	no	—
1043	C₂×#126	—	53	1	no	—
1044	C₂×#126	—	53	1	no	—
1045	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1046	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1047	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1048	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1049	C₂×#125	—	53	1	no	—
1050	C₂×#125	—	53	1	no	—
1051	C₂×#125	—	53	1	no	—
1052	C₂×#124	—	53	1	no	—
1053	C₂×#124	—	53	1	no	—
1054	C₂×#124	—	53	1	no	—
1055	C₂×#124	—	53	1	no	—
1056	C₂×#124	—	53	1	no	—
1057	C₂×#124	—	53	1	no	—
1058	C₂×#124	—	53	1	no	—
1059	C₂×#124	—	53	1	no	—
1060	C₂×#124	—	53	1	no	—
1061	C₂×#124	—	53	1	no	—
1062	C₂×#124	—	53	1	no	—
1063	C₂×#124	—	53	1	no	—
1064	C₂×#124	—	53	1	no	—
1065	C₂×#124	—	53	1	no	—
1066	C₂×#124	—	53	1	no	—
1067	C₂×#124	—	53	1	no	—
1068	C₂×#124	—	53	1	no	—
1069	C₂×#124	—	53	1	no	—
1070	C₂×#124	—	53	1	no	—
1071	C₂×#124	C₂×D₅₃	1	1	yes	characteristic
1072	C₂×#124	C₂×D₅₃	1	1	yes	characteristic
1073	C₂×#123	—	53	1	no	—
1074	C₂×#123	—	53	1	no	—
1075	C₂×#123	—	53	1	no	—
1076	C₂×#123	—	53	1	no	—
1077	C₂×#123	—	53	1	no	—
1078	C₂×#123	—	53	1	no	—
1079	C₂×#123	—	53	1	no	—
1080	C₂×#123	—	53	1	no	—
1081	C₂×#123	—	53	1	no	—
1082	C₂×#123	—	53	1	no	—
1083	C₂×#123	—	53	1	no	—
1084	C₂×#123	—	53	1	no	—
1085	C₂×#123	—	53	1	no	—
1086	C₂×#123	—	53	1	no	—
1087	C₂×#123	—	53	1	no	—
1088	C₂×#123	—	53	1	no	—
1089	C₂×#123	—	53	1	no	—
1090	C₂×#123	—	53	1	no	—
1091	C₂×C₂²⋊Q₈	—	53	1	no	—
1092	C₂×C₂²⋊Q₈	—	53	1	no	—
1093	C₂×C₂²⋊Q₈	—	53	1	no	—
1094	C₂×C₂²⋊Q₈	—	53	1	no	—
1095	C₂×C₂²⋊Q₈	—	53	1	no	—
1096	C₂×C₂²⋊Q₈	—	53	1	no	—
1097	C₂×C₂²⋊Q₈	—	53	1	no	—
1098	C₂×C₂²⋊Q₈	—	53	1	no	—
1099	C₂×C₂²⋊Q₈	—	53	1	no	—
1100	C₂×C₂²⋊Q₈	—	53	1	no	—
1101	C₂×C₂²⋊Q₈	—	53	1	no	—
1102	C₂×C₂²⋊Q₈	—	53	1	no	—
1103	C₂×C₂²⋊Q₈	—	53	1	no	—
1104	C₂×C₂²⋊Q₈	—	53	1	no	—
1105	C₂×C₂²⋊Q₈	—	53	1	no	—
1106	C₂×C₂²⋊Q₈	—	53	1	no	—
1107	C₂×C₂²⋊Q₈	—	53	1	no	—
1108	C₂×C₂²⋊Q₈	—	53	1	no	—
1109	C₂×C₂²⋊Q₈	—	53	1	no	—
1110	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1111	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1112	C₂×#121	—	53	1	no	—
1113	C₂×#121	—	53	1	no	—
1114	C₂×#121	—	53	1	no	—
1115	C₂×#121	—	53	1	no	—
1116	C₂×#121	—	53	1	no	—
1117	C₂×#121	—	53	1	no	—
1118	C₂×#121	—	53	1	no	—
1119	C₂×#121	—	53	1	no	—
1120	C₂×#121	—	53	1	no	—
1121	C₂×#120	—	53	1	no	—
1122	C₂×#120	—	53	1	no	—
1123	C₂×#120	—	53	1	no	—
1124	C₂×#120	—	53	1	no	—
1125	C₂×#120	—	53	1	no	—
1126	C₂×#120	—	53	1	no	—
1127	C₂×#120	—	53	1	no	—
1128	C₂×#120	—	53	1	no	—
1129	C₂×C₄×Q₈	—	53	1	no	—
1130	C₂×C₄×Q₈	—	53	1	no	—
1131	C₂×C₄×Q₈	—	53	1	no	—
1132	C₂×C₄×Q₈	—	53	1	no	—
1133	C₂×C₄×Q₈	—	53	1	no	—
1134	C₂×C₄×Q₈	—	53	1	no	—
1135	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1136	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1137	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1138	C₂×C₄×D₄	—	53	1	no	—
1139	C₂×C₄×D₄	—	53	1	no	—
1140	C₂×C₄×D₄	—	53	1	no	—
1141	C₂×C₄×D₄	—	53	1	no	—
1142	C₂×C₄×D₄	—	53	1	no	—
1143	C₂×C₄×D₄	—	53	1	no	—
1144	C₂×C₄×D₄	—	53	1	no	—
1145	C₂×C₄×D₄	—	53	1	no	—
1146	C₂×C₄×D₄	—	53	1	no	—
1147	C₂×C₄×D₄	—	53	1	no	—
1148	C₂×C₄×D₄	—	53	1	no	—
1149	C₂×C₄×D₄	—	53	1	no	—
1150	C₂×C₄×D₄	—	53	1	no	—
1151	C₂×C₄×D₄	—	53	1	no	—
1152	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1153	C₂×#117	—	53	1	no	—
1154	C₂×#117	—	53	1	no	—
1155	C₂×#117	—	53	1	no	—
1156	C₂×#117	—	53	1	no	—
1157	C₂×#117	—	53	1	no	—
1158	C₂×#117	—	53	1	no	—
1159	C₂×#117	—	53	1	no	—
1160	C₂×#117	—	53	1	no	—
1161	C₂×#117	—	53	1	no	—
1162	C₂×#117	—	53	1	no	—
1163	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1164	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1165	C₂²×C₂²⋊C₄	—	53	1	no	—
1166	C₂²×C₂²⋊C₄	—	53	1	no	—
1167	C₂²×C₂²⋊C₄	—	53	1	no	—
1168	C₂²×C₂²⋊C₄	—	53	1	no	—
1169	C₂²×C₂²⋊C₄	—	53	1	no	—
1170	C₂²×C₂²⋊C₄	—	53	1	no	—
1171	C₂²×C₄²	—	53	1	no	—
1172	C₅₃	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
1173	C₂⁵	—	53	1	no	—
1174	C₂⁵	—	53	1	no	—
1175	C₂²×Q₈	—	53	1	no	—
1176	C₂²×Q₈	—	53	1	no	—
1177	C₂²×Q₈	—	53	1	no	—
1178	C₂²×Q₈	—	53	1	no	—
1179	C₂²×Q₈	—	53	1	no	—
1180	C₂²×Q₈	—	53	1	no	—
1181	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1182	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1183	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1184	C₂²×D₄	—	53	1	no	—
1185	C₂²×D₄	—	53	1	no	—
1186	C₂²×D₄	—	53	1	no	—
1187	C₂²×D₄	—	53	1	no	—
1188	C₂²×D₄	—	53	1	no	—
1189	C₂²×D₄	—	53	1	no	—
1190	C₂²×D₄	—	53	1	no	—
1191	C₂²×D₄	—	53	1	no	—
1192	C₂²×D₄	—	53	1	no	—
1193	C₂²×D₄	—	53	1	no	—
1194	C₂²×D₄	—	53	1	no	—
1195	C₂²×D₄	—	53	1	no	—
1196	C₂²×D₄	—	53	1	no	—
1197	C₂²×D₄	—	53	1	no	—
1198	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1199	C₂³×C₄	—	53	1	no	—
1200	C₂³×C₄	—	53	1	no	—
1201	C₂³×C₄	—	53	1	no	—
1202	C₂³×C₄	—	53	1	no	—
1203	C₂³×C₄	—	53	1	no	—
1204	C₂³×C₄	—	53	1	no	—
1205	C₂³×C₄	—	53	1	no	—
1206	C₂³×C₄	—	53	1	no	—
1207	C₂³×C₄	—	53	1	no	—
1208	C₂³×C₄	—	53	1	no	—
1209	C₂³×C₄	—	53	1	no	—
1210	C₂³×C₄	—	53	1	no	—
1211	C₂³×C₄	—	53	1	no	—
1212	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1213	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1214	C₄⋊Q₈	—	53	8	no	—
1215	C₄⋊Q₈	—	53	8	no	—
1216	C₄⋊Q₈	—	53	8	no	—
1217	C₄⋊Q₈	—	53	8	no	—
1218	C₄⋊Q₈	—	53	8	no	—
1219	C₄⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1220	#126	—	53	8	no	—
1221	#126	—	53	8	no	—
1222	#126	—	53	8	no	—
1223	#126	—	53	8	no	—
1224	#126	—	53	8	no	—
1225	#126	—	53	8	no	—
1226	#126	—	53	8	no	—
1227	#126	—	53	8	no	—
1228	#126	—	53	8	no	—
1229	#126	—	53	8	no	—
1230	#126	—	53	8	no	—
1231	#126	—	53	8	no	—
1232	#126	—	53	8	no	—
1233	#126	—	53	8	no	—
1234	#126	—	53	8	no	—
1235	#126	—	53	8	no	—
1236	#126	—	53	8	no	—
1237	#126	—	53	8	no	—
1238	#126	—	53	8	no	—
1239	#126	—	53	8	no	—
1240	#126	—	53	8	no	—
1241	#126	—	53	8	no	—
1242	#126	C₂²×D₅₃	1	8	yes	complemented
1243	#126	C₂²×D₅₃	1	8	yes	complemented
1244	#126	C₂²×D₅₃	1	8	yes	complemented
1245	#126	C₂²×D₅₃	1	8	yes	complemented
1246	#125	—	53	8	no	—
1247	#125	—	53	8	no	—
1248	#125	—	53	8	no	—
1249	#124	—	53	8	no	—
1250	#124	—	53	8	no	—
1251	#124	—	53	8	no	—
1252	#124	—	53	8	no	—
1253	#124	—	53	8	no	—
1254	#124	—	53	8	no	—
1255	#124	—	53	8	no	—
1256	#124	—	53	8	no	—
1257	#124	—	53	8	no	—
1258	#124	—	53	8	no	—
1259	#124	—	53	8	no	—
1260	#124	—	53	8	no	—
1261	#124	—	53	8	no	—
1262	#124	—	53	8	no	—
1263	#124	—	53	8	no	—
1264	#124	—	53	8	no	—
1265	#124	—	53	8	no	—
1266	#124	—	53	8	no	—
1267	#124	—	53	8	no	—
1268	#124	C₂²×D₅₃	1	8	yes	—
1269	#124	C₂²×D₅₃	1	8	yes	—
1270	#123	—	53	8	no	—
1271	#123	—	53	8	no	—
1272	#123	—	53	8	no	—
1273	#123	—	53	8	no	—
1274	#123	—	53	8	no	—
1275	#123	—	53	8	no	—
1276	#123	—	53	8	no	—
1277	#123	—	53	8	no	—
1278	#123	—	53	8	no	—
1279	#123	—	53	8	no	—
1280	#123	—	53	8	no	—
1281	#123	—	53	8	no	—
1282	#123	—	53	8	no	—
1283	#123	—	53	8	no	—
1284	#123	—	53	8	no	—
1285	#123	—	53	8	no	—
1286	#123	—	53	8	no	—
1287	#123	—	53	8	no	—
1288	C₂²⋊Q₈	—	53	8	no	—
1289	C₂²⋊Q₈	—	53	8	no	—
1290	C₂²⋊Q₈	—	53	8	no	—
1291	C₂²⋊Q₈	—	53	8	no	—
1292	C₂²⋊Q₈	—	53	8	no	—
1293	C₂²⋊Q₈	—	53	8	no	—
1294	C₂²⋊Q₈	—	53	8	no	—
1295	C₂²⋊Q₈	—	53	8	no	—
1296	C₂²⋊Q₈	—	53	8	no	—
1297	C₂²⋊Q₈	—	53	8	no	—
1298	C₂²⋊Q₈	—	53	8	no	—
1299	C₂²⋊Q₈	—	53	8	no	—
1300	C₂²⋊Q₈	—	53	8	no	—
1301	C₂²⋊Q₈	—	53	8	no	—
1302	C₂²⋊Q₈	—	53	8	no	—
1303	C₂²⋊Q₈	—	53	8	no	—
1304	C₂²⋊Q₈	—	53	8	no	—
1305	C₂²⋊Q₈	—	53	8	no	—
1306	C₂²⋊Q₈	—	53	8	no	—
1307	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1308	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1309	#121	—	53	8	no	—
1310	#121	—	53	8	no	—
1311	#121	—	53	8	no	—
1312	#121	—	53	8	no	—
1313	#121	—	53	8	no	—
1314	#121	—	53	8	no	—
1315	#121	—	53	8	no	—
1316	#121	—	53	8	no	—
1317	#121	—	53	8	no	—
1318	#120	—	53	8	no	—
1319	#120	—	53	8	no	—
1320	#120	—	53	8	no	—
1321	#120	—	53	8	no	—
1322	#120	—	53	8	no	—
1323	#120	—	53	8	no	—
1324	#120	—	53	8	no	—
1325	#120	—	53	8	no	—
1326	C₄×Q₈	—	53	8	no	—
1327	C₄×Q₈	—	53	8	no	—
1328	C₄×Q₈	—	53	8	no	—
1329	C₄×Q₈	—	53	8	no	—
1330	C₄×Q₈	—	53	8	no	—
1331	C₄×Q₈	—	53	8	no	—
1332	C₄×Q₈	C₂²×D₅₃	1	8	yes	complemented
1333	C₄×Q₈	C₂²×D₅₃	1	8	yes	complemented
1334	C₄×Q₈	C₂²×D₅₃	1	8	yes	complemented
1335	C₄×D₄	—	53	8	no	—
1336	C₄×D₄	—	53	8	no	—
1337	C₄×D₄	—	53	8	no	—
1338	C₄×D₄	—	53	8	no	—
1339	C₄×D₄	—	53	8	no	—
1340	C₄×D₄	—	53	8	no	—
1341	C₄×D₄	—	53	8	no	—
1342	C₄×D₄	—	53	8	no	—
1343	C₄×D₄	—	53	8	no	—
1344	C₄×D₄	—	53	8	no	—
1345	C₄×D₄	—	53	8	no	—
1346	C₄×D₄	—	53	8	no	—
1347	C₄×D₄	—	53	8	no	—
1348	C₄×D₄	—	53	8	no	—
1349	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1350	#117	—	53	8	no	—
1351	#117	—	53	8	no	—
1352	#117	—	53	8	no	—
1353	#117	—	53	8	no	—
1354	#117	—	53	8	no	—
1355	#117	—	53	8	no	—
1356	#117	—	53	8	no	—
1357	#117	—	53	8	no	—
1358	#117	—	53	8	no	—
1359	#117	—	53	8	no	—
1360	#117	C₂²×D₅₃	1	8	yes	complemented
1361	#117	C₂²×D₅₃	1	8	yes	complemented
1362	C₂×C₄⋊C₄	—	53	1	no	—
1363	C₂×C₄⋊C₄	—	53	1	no	—
1364	C₂×C₄⋊C₄	—	53	1	no	—
1365	C₂×C₄⋊C₄	—	53	1	no	—
1366	C₂×C₄⋊C₄	—	53	1	no	—
1367	C₂×C₄⋊C₄	—	53	1	no	—
1368	C₂×C₄⋊C₄	—	53	1	no	—
1369	C₂×C₄⋊C₄	—	53	1	no	—
1370	C₂×C₄⋊C₄	—	53	1	no	—
1371	C₂×C₄⋊C₄	—	53	1	no	—
1372	C₂×C₄⋊C₄	—	53	1	no	—
1373	C₂×C₄⋊C₄	—	53	1	no	—
1374	C₂×C₄⋊C₄	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	1	no	—
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₄⋊C₄	—	53	1	no	—
1383	C₂×C₄⋊C₄	—	53	1	no	—
1384	C₂×C₄⋊C₄	—	53	1	no	—
1385	C₂×C₄⋊C₄	—	53	1	no	—
1386	C₂×C₄⋊C₄	—	53	1	no	—
1387	C₂×C₄⋊C₄	—	53	1	no	—
1388	C₂×C₄⋊C₄	—	53	1	no	—
1389	C₂×C₄⋊C₄	—	53	1	no	—
1390	C₂×C₄⋊C₄	—	53	1	no	—
1391	C₂×C₄⋊C₄	—	53	1	no	—
1392	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1393	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1394	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1395	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1396	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1397	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1399	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1400	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1401	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1402	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1403	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1404	C₂×C₂²⋊C₄	—	53	1	no	—
1405	C₂×C₂²⋊C₄	—	53	1	no	—
1406	C₂×C₂²⋊C₄	—	53	1	no	—
1407	C₂×C₂²⋊C₄	—	53	1	no	—
1408	C₂×C₂²⋊C₄	—	53	1	no	—
1409	C₂×C₂²⋊C₄	—	53	1	no	—
1410	C₂×C₂²⋊C₄	—	53	1	no	—
1411	C₂×C₂²⋊C₄	—	53	1	no	—
1412	C₂×C₂²⋊C₄	—	53	1	no	—
1413	C₂×C₂²⋊C₄	—	53	1	no	—
1414	C₂×C₂²⋊C₄	—	53	1	no	—
1415	C₂×C₂²⋊C₄	—	53	1	no	—
1416	C₂×C₂²⋊C₄	—	53	1	no	—
1417	C₂×C₂²⋊C₄	—	53	1	no	—
1418	C₂×C₂²⋊C₄	—	53	1	no	—
1419	C₂×C₂²⋊C₄	—	53	1	no	—
1420	C₂×C₂²⋊C₄	—	53	1	no	—
1421	C₂×C₂²⋊C₄	—	53	1	no	—
1422	C₂×C₂²⋊C₄	—	53	1	no	—
1423	C₂×C₂²⋊C₄	—	53	1	no	—
1424	C₂×C₂²⋊C₄	—	53	1	no	—
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	8	no	—
1427	C₂×C₂²⋊C₄	—	53	8	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	1	no	—
1433	C₂×C₂²⋊C₄	—	53	1	no	—
1434	C₂×C₂²⋊C₄	—	53	1	no	—
1435	C₂×C₂²⋊C₄	—	53	1	no	—
1436	C₂×C₂²⋊C₄	—	53	1	no	—
1437	C₂×C₂²⋊C₄	—	53	1	no	—
1438	C₂×C₂²⋊C₄	—	53	1	no	—
1439	C₂×C₂²⋊C₄	—	53	1	no	—
1440	C₂×C₂²⋊C₄	—	53	1	no	—
1441	C₂×C₂²⋊C₄	—	53	1	no	—
1442	C₂×C₂²⋊C₄	—	53	1	no	—
1443	C₂×C₂²⋊C₄	—	53	1	no	—
1444	C₂×C₂²⋊C₄	—	53	1	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	8	no	—
1451	C₂×C₂²⋊C₄	—	53	8	no	—
1452	C₂×C₂²⋊C₄	—	53	8	no	—
1453	C₂×C₂²⋊C₄	—	53	8	no	—
1454	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1456	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1461	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1462	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1464	C₂×C₄²	—	53	1	no	—
1465	C₂×C₄²	—	53	1	no	—
1466	C₂×C₄²	—	53	1	no	—
1467	C₂×C₄²	—	53	1	no	—
1468	C₂×C₄²	—	53	1	no	—
1469	C₂×C₄²	—	53	1	no	—
1470	C₂×C₄²	—	53	1	no	—
1471	C₂×C₄²	—	53	1	no	—
1472	C₂×C₄²	—	53	1	no	—
1473	C₂×C₄²	—	53	1	no	—
1474	C₂×C₄²	—	53	1	no	—
1475	C₂×C₄²	—	53	8	no	—
1476	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1477	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1478	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1479	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1480	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1481	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1482	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1483	C₂⁴	—	53	1	no	—
1484	C₂⁴	—	53	1	no	—
1485	C₂⁴	—	53	1	no	—
1486	C₂⁴	—	53	1	no	—
1487	C₂⁴	—	53	1	no	—
1488	C₂⁴	—	53	4	no	—
1489	C₂⁴	—	53	4	no	—
1490	C₂⁴	—	212	2	no	—
1491	C₂⁴	—	212	2	no	—
1492	C₂⁴	—	212	2	no	—
1493	C₂⁴	—	212	2	no	—
1494	C₂⁴	—	212	2	no	—
1495	C₂⁴	—	212	2	no	—
1496	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1497	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1498	C₂×Q₈	—	4	2	no	—
1499	C₂×Q₈	—	4	2	no	—
1500	C₂×Q₈	—	4	2	no	—
1501	C₂×Q₈	—	53	4	no	—
1502	C₂×Q₈	—	53	4	no	—
1503	C₂×Q₈	—	53	4	no	—
1504	C₂×Q₈	—	53	4	no	—
1505	C₂×Q₈	—	53	4	no	—
1506	C₂×Q₈	—	53	4	no	—
1507	C₂×Q₈	—	212	2	no	—
1508	C₂×Q₈	—	212	2	no	—
1509	C₂×Q₈	—	212	2	no	—
1510	C₂×Q₈	—	212	2	no	—
1511	C₂×Q₈	—	212	2	no	—
1512	C₂×Q₈	—	212	2	no	—
1513	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1514	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1515	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1516	C₂×D₄	—	4	2	no	—
1517	C₂×D₄	—	53	4	no	—
1518	C₂×D₄	—	53	4	no	—
1519	C₂×D₄	—	53	4	no	—
1520	C₂×D₄	—	53	4	no	—
1521	C₂×D₄	—	53	4	no	—
1522	C₂×D₄	—	53	4	no	—
1523	C₂×D₄	—	53	4	no	—
1524	C₂×D₄	—	53	4	no	—
1525	C₂×D₄	—	53	4	no	—
1526	C₂×D₄	—	53	4	no	—
1527	C₂×D₄	—	53	4	no	—
1528	C₂×D₄	—	53	4	no	—
1529	C₂×D₄	—	53	4	no	—
1530	C₂×D₄	—	53	4	no	—
1531	C₂×D₄	—	212	2	no	—
1532	C₂×D₄	—	212	2	no	—
1533	C₂×D₄	—	212	2	no	—
1534	C₂×D₄	—	212	2	no	—
1535	C₂×D₄	—	212	2	no	—
1536	C₂×D₄	—	212	2	no	—
1537	C₂×D₄	—	212	2	no	—
1538	C₂×D₄	—	212	2	no	—
1539	C₂×D₄	—	212	2	no	—
1540	C₂×D₄	—	212	2	no	—
1541	C₂×D₄	—	212	2	no	—
1542	C₂×D₄	—	212	2	no	—
1543	C₂×D₄	—	212	2	no	—
1544	C₂×D₄	—	212	2	no	—
1545	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1546	C₂²×C₄	—	4	2	no	—
1547	C₂²×C₄	—	4	2	no	—
1548	C₂²×C₄	—	53	1	no	—
1549	C₂²×C₄	—	53	1	no	—
1550	C₂²×C₄	—	53	1	no	—
1551	C₂²×C₄	—	53	1	no	—
1552	C₂²×C₄	—	53	1	no	—
1553	C₂²×C₄	—	53	1	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	1	no	—
1556	C₂²×C₄	—	53	1	no	—
1557	C₂²×C₄	—	53	1	no	—
1558	C₂²×C₄	—	53	1	no	—
1559	C₂²×C₄	—	53	4	no	—
1560	C₂²×C₄	—	53	4	no	—
1561	C₂²×C₄	—	53	4	no	—
1562	C₂²×C₄	—	53	4	no	—
1563	C₂²×C₄	—	53	4	no	—
1564	C₂²×C₄	—	53	4	no	—
1565	C₂²×C₄	—	53	4	no	—
1566	C₂²×C₄	—	53	4	no	—
1567	C₂²×C₄	—	53	4	no	—
1568	C₂²×C₄	—	53	4	no	—
1569	C₂²×C₄	—	53	4	no	—
1570	C₂²×C₄	—	53	4	no	—
1571	C₂²×C₄	—	53	4	no	—
1572	C₂²×C₄	—	212	2	no	—
1573	C₂²×C₄	—	212	2	no	—
1574	C₂²×C₄	—	212	2	no	—
1575	C₂²×C₄	—	212	2	no	—
1576	C₂²×C₄	—	212	2	no	—
1577	C₂²×C₄	—	212	2	no	—
1578	C₂²×C₄	—	212	2	no	—
1579	C₂²×C₄	—	212	2	no	—
1580	C₂²×C₄	—	212	2	no	—
1581	C₂²×C₄	—	212	2	no	—
1582	C₂²×C₄	—	212	2	no	—
1583	C₂²×C₄	—	212	2	no	—
1584	C₂²×C₄	—	212	2	no	—
1585	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1586	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1588	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1589	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1590	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1591	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1595	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1596	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1597	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1598	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1599	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1600	C₄⋊C₄	—	53	4	no	—
1601	C₄⋊C₄	—	53	4	no	—
1602	C₄⋊C₄	—	53	4	no	—
1603	C₄⋊C₄	—	53	4	no	—
1604	C₄⋊C₄	—	53	4	no	—
1605	C₄⋊C₄	—	53	4	no	—
1606	C₄⋊C₄	—	53	4	no	—
1607	C₄⋊C₄	—	53	4	no	—
1608	C₄⋊C₄	—	53	4	no	—
1609	C₄⋊C₄	—	53	4	no	—
1610	C₄⋊C₄	—	53	4	no	—
1611	C₄⋊C₄	—	53	4	no	—
1612	C₄⋊C₄	—	53	4	no	—
1613	C₄⋊C₄	—	53	4	no	—
1614	C₄⋊C₄	—	53	4	no	—
1615	C₄⋊C₄	—	53	4	no	—
1616	C₄⋊C₄	—	53	4	no	—
1617	C₄⋊C₄	—	53	4	no	—
1618	C₄⋊C₄	—	53	4	no	—
1619	C₄⋊C₄	—	53	4	no	—
1620	C₄⋊C₄	—	53	4	no	—
1621	C₄⋊C₄	—	53	4	no	—
1622	C₄⋊C₄	—	53	4	no	—
1623	C₄⋊C₄	—	53	4	no	—
1624	C₄⋊C₄	—	53	4	no	—
1625	C₄⋊C₄	—	53	4	no	—
1626	C₄⋊C₄	—	53	4	no	—
1627	C₄⋊C₄	—	53	4	no	—
1628	C₄⋊C₄	—	53	4	no	—
1629	C₄⋊C₄	—	53	4	no	—
1630	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1631	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1632	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1633	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1634	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1635	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1636	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1637	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1638	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1639	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1640	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1641	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1642	C₂²⋊C₄	—	53	4	no	—
1643	C₂²⋊C₄	—	53	4	no	—
1644	C₂²⋊C₄	—	53	4	no	—
1645	C₂²⋊C₄	—	53	4	no	—
1646	C₂²⋊C₄	—	53	4	no	—
1647	C₂²⋊C₄	—	53	4	no	—
1648	C₂²⋊C₄	—	53	4	no	—
1649	C₂²⋊C₄	—	53	4	no	—
1650	C₂²⋊C₄	—	53	4	no	—
1651	C₂²⋊C₄	—	53	4	no	—
1652	C₂²⋊C₄	—	53	4	no	—
1653	C₂²⋊C₄	—	53	4	no	—
1654	C₂²⋊C₄	—	53	4	no	—
1655	C₂²⋊C₄	—	53	4	no	—
1656	C₂²⋊C₄	—	53	4	no	—
1657	C₂²⋊C₄	—	53	4	no	—
1658	C₂²⋊C₄	—	53	4	no	—
1659	C₂²⋊C₄	—	53	4	no	—
1660	C₂²⋊C₄	—	53	4	no	—
1661	C₂²⋊C₄	—	53	4	no	—
1662	C₂²⋊C₄	—	53	4	no	—
1663	C₂²⋊C₄	—	53	4	no	—
1664	C₂²⋊C₄	—	53	4	no	—
1665	C₂²⋊C₄	—	53	4	no	—
1666	C₂²⋊C₄	—	53	4	no	—
1667	C₂²⋊C₄	—	53	4	no	—
1668	C₂²⋊C₄	—	53	4	no	—
1669	C₂²⋊C₄	—	53	4	no	—
1670	C₂²⋊C₄	—	53	4	no	—
1671	C₂²⋊C₄	—	53	4	no	—
1672	C₂²⋊C₄	—	53	4	no	—
1673	C₂²⋊C₄	—	53	4	no	—
1674	C₂²⋊C₄	—	53	4	no	—
1675	C₂²⋊C₄	—	53	4	no	—
1676	C₂²⋊C₄	—	53	4	no	—
1677	C₂²⋊C₄	—	53	4	no	—
1678	C₂²⋊C₄	—	53	4	no	—
1679	C₂²⋊C₄	—	53	4	no	—
1680	C₂²⋊C₄	—	53	4	no	—
1681	C₂²⋊C₄	—	53	4	no	—
1682	C₂²⋊C₄	—	53	4	no	—
1683	C₂²⋊C₄	—	53	4	no	—
1684	C₂²⋊C₄	—	53	4	no	—
1685	C₂²⋊C₄	—	53	4	no	—
1686	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1687	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1688	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1689	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1690	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1691	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1692	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1693	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1694	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1695	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1696	C₄²	—	53	4	no	—
1697	C₄²	—	53	4	no	—
1698	C₄²	—	53	4	no	—
1699	C₄²	—	53	4	no	—
1700	C₄²	—	53	4	no	—
1701	C₄²	—	53	4	no	—
1702	C₄²	—	53	4	no	—
1703	C₄²	—	53	4	no	—
1704	C₄²	—	53	4	no	—
1705	C₄²	—	53	4	no	—
1706	C₄²	—	53	4	no	—
1707	C₄²	C₂³×D₅₃	1	4	yes	—
1708	C₄²	C₂³×D₅₃	1	4	yes	—
1709	C₄²	C₂³×D₅₃	1	4	yes	—
1710	C₄²	C₂³×D₅₃	1	4	yes	—
1711	C₄²	C₂³×D₅₃	1	4	yes	—
1712	C₄²	C₂³×D₅₃	1	4	yes	—
1713	C₄²	C₂³×D₅₃	1	4	yes	—
1714	C₂³	—	2	2	no	—
1715	C₂³	—	2	2	no	—
1716	C₂³	—	2	2	no	—
1717	C₂³	—	2	2	no	—
1718	C₂³	—	2	2	no	—
1719	C₂³	—	2	2	no	—
1720	C₂³	—	53	2	no	—
1721	C₂³	—	53	2	no	—
1722	C₂³	—	53	2	no	—
1723	C₂³	—	53	2	no	—
1724	C₂³	—	53	2	no	—
1725	C₂³	—	106	2	no	—
1726	C₂³	—	106	2	no	—
1727	C₂³	—	106	2	no	—
1728	C₂³	—	106	2	no	—
1729	C₂³	—	106	2	no	—
1730	C₂³	—	106	2	no	—
1731	C₂³	—	106	2	no	—
1732	C₂³	—	106	2	no	—
1733	C₂³	—	106	2	no	—
1734	C₂³	—	106	2	no	—
1735	C₂³	—	106	2	no	—
1736	C₂³	—	106	2	no	—
1737	C₂³	—	106	2	no	—
1738	C₂³	—	106	2	no	—
1739	C₂³	—	106	2	no	—
1740	C₂³	—	424	8	no	—
1741	C₂³	—	424	8	no	—
1742	C₂³	—	212	4	no	—
1743	C₂³	—	212	4	no	—
1744	C₂³	—	212	4	no	—
1745	C₂³	—	212	4	no	—
1746	C₂³	—	212	4	no	—
1747	C₂³	—	212	4	no	—
1748	C₂³	C₂⁴×D₅₃	1	2	yes	—
1749	C₂³	C₂⁴×D₅₃	1	2	yes	—
1750	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1751	Q₈	—	4	4	no	—
1752	Q₈	—	4	4	no	—
1753	Q₈	—	4	4	no	—
1754	Q₈	—	212	4	no	—
1755	Q₈	—	212	4	no	—
1756	Q₈	—	212	4	no	—
1757	Q₈	—	212	4	no	—
1758	Q₈	—	212	4	no	—
1759	Q₈	—	212	4	no	—
1760	D₄	—	4	4	no	—
1761	D₄	—	212	4	no	—
1762	D₄	—	212	4	no	—
1763	D₄	—	212	4	no	—
1764	D₄	—	212	4	no	—
1765	D₄	—	212	4	no	—
1766	D₄	—	212	4	no	—
1767	D₄	—	212	4	no	—
1768	D₄	—	212	4	no	—
1769	D₄	—	212	4	no	—
1770	D₄	—	212	4	no	—
1771	D₄	—	212	4	no	—
1772	D₄	—	212	4	no	—
1773	D₄	—	212	4	no	—
1774	D₄	—	212	4	no	—
1775	C₂×C₄	—	2	2	no	—
1776	C₂×C₄	—	2	2	no	—
1777	C₂×C₄	—	2	2	no	—
1778	C₂×C₄	—	2	2	no	—
1779	C₂×C₄	—	2	2	no	—
1780	C₂×C₄	—	2	2	no	—
1781	C₂×C₄	—	2	2	no	—
1782	C₂×C₄	—	2	2	no	—
1783	C₂×C₄	—	2	2	no	—
1784	C₂×C₄	—	2	2	no	—
1785	C₂×C₄	—	2	2	no	—
1786	C₂×C₄	—	2	2	no	—
1787	C₂×C₄	—	2	2	no	—
1788	C₂×C₄	—	4	4	no	—
1789	C₂×C₄	—	4	4	no	—
1790	C₂×C₄	—	53	2	no	—
1791	C₂×C₄	—	53	2	no	—
1792	C₂×C₄	—	53	2	no	—
1793	C₂×C₄	—	53	2	no	—
1794	C₂×C₄	—	53	2	no	—
1795	C₂×C₄	—	53	2	no	—
1796	C₂×C₄	—	53	2	no	—
1797	C₂×C₄	—	53	2	no	—
1798	C₂×C₄	—	53	2	no	—
1799	C₂×C₄	—	53	2	no	—
1800	C₂×C₄	—	53	2	no	—
1801	C₂×C₄	—	106	2	no	—
1802	C₂×C₄	—	106	2	no	—
1803	C₂×C₄	—	106	2	no	—
1804	C₂×C₄	—	106	2	no	—
1805	C₂×C₄	—	106	2	no	—
1806	C₂×C₄	—	106	2	no	—
1807	C₂×C₄	—	106	2	no	—
1808	C₂×C₄	—	106	2	no	—
1809	C₂×C₄	—	106	2	no	—
1810	C₂×C₄	—	106	2	no	—
1811	C₂×C₄	—	106	2	no	—
1812	C₂×C₄	—	212	4	no	—
1813	C₂×C₄	—	212	4	no	—
1814	C₂×C₄	—	212	4	no	—
1815	C₂×C₄	—	212	4	no	—
1816	C₂×C₄	—	212	4	no	—
1817	C₂×C₄	—	212	4	no	—
1818	C₂×C₄	—	212	4	no	—
1819	C₂×C₄	—	212	4	no	—
1820	C₂×C₄	—	212	4	no	—
1821	C₂×C₄	—	212	4	no	—
1822	C₂×C₄	—	212	4	no	—
1823	C₂×C₄	—	212	4	no	—
1824	C₂×C₄	—	212	4	no	—
1825	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1826	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1827	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1828	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1829	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1830	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1831	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1832	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1833	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1834	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1835	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1836	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1837	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1838	C₂²	—	2	2	no	—
1839	C₂²	—	2	2	no	—
1840	C₂²	—	2	2	no	—
1841	C₂²	—	2	2	no	—
1842	C₂²	—	2	2	no	—
1843	C₂²	—	2	2	no	—
1844	C₂²	—	4	4	no	—
1845	C₂²	—	4	4	no	—
1846	C₂²	—	106	2	no	—
1847	C₂²	—	106	2	no	—
1848	C₂²	—	106	2	no	—
1849	C₂²	—	106	2	no	—
1850	C₂²	—	106	2	no	—
1851	C₂²	—	106	2	no	—
1852	C₂²	—	106	2	no	—
1853	C₂²	—	106	2	no	—
1854	C₂²	—	106	2	no	—
1855	C₂²	—	106	2	no	—
1856	C₂²	—	106	2	no	—
1857	C₂²	—	106	2	no	—
1858	C₂²	—	106	2	no	—
1859	C₂²	—	106	2	no	—
1860	C₂²	—	106	2	no	—
1861	C₂²	—	424	8	no	—
1862	C₂²	—	424	8	no	—
1863	C₂²	—	212	4	no	—
1864	C₂²	—	212	4	no	—
1865	C₂²	—	212	4	no	—
1866	C₂²	—	212	4	no	—
1867	C₂²	—	212	4	no	—
1868	C₂²	#16811459	1	2	yes	—
1869	C₂²	#16811459	1	2	yes	—
1870	C₂²	#16811460	1	2	yes	—
1871	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1872	C₄	—	2	2	no	—
1873	C₄	—	2	2	no	—
1874	C₄	—	2	2	no	—
1875	C₄	—	2	2	no	—
1876	C₄	—	2	2	no	—
1877	C₄	—	2	2	no	—
1878	C₄	—	2	2	no	—
1879	C₄	—	2	2	no	—
1880	C₄	—	2	2	no	—
1881	C₄	—	2	2	no	—
1882	C₄	—	2	2	no	—
1883	C₄	—	2	2	no	—
1884	C₄	—	2	2	no	—
1885	C₄	—	106	2	no	—
1886	C₄	—	106	2	no	—
1887	C₄	—	106	2	no	—
1888	C₄	—	106	2	no	—
1889	C₄	—	106	2	no	—
1890	C₄	—	106	2	no	—
1891	C₄	—	106	2	no	—
1892	C₄	—	106	2	no	—
1893	C₄	—	106	2	no	—
1894	C₄	—	106	2	no	—
1895	C₄	—	106	2	no	—
1896	C₂	—	4	2	no	—
1897	C₂	—	4	2	no	—
1898	C₂	—	212	2	no	—
1899	C₂	—	212	2	no	—
1900	C₂	—	212	2	no	—
1901	C₂	—	212	2	no	—
1902	C₂	—	212	2	no	—
1903	C₂	#20289410	1	4	yes	direct product factor
1904	C₂	C₂×#16811459	1	1	yes	characteristic
1905	C₂	C₂×#16811459	1	1	yes	characteristic
1906	C₂	C₂×#16811460	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#556	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#556	D₅₃
hypocenter	C₅₃	C₂×#3568
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#556

Complements

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

N	H ≅ G/N	type
1. #20289410	C₂	direct (N × H)
2. C₂×#16811375	C₂	semidirect
3. C₂×#16811374	C₂	semidirect
4. C₂×#16811372	C₂	semidirect
5. C₂×#16811365	C₂	semidirect
6. C₂×#16811346	C₂	semidirect
7. C₂×#16811345	C₂	semidirect
8. C₂×#16811345	C₂	semidirect
9. C₂×#16811340	C₂	semidirect
10. C₂×#16811340	C₂	semidirect
11. C₂×#16811303	C₂	semidirect
12. C₂×#16811302	C₂	semidirect
13. C₂×#16811300	C₂	semidirect
14. C₂×#16811298	C₂	semidirect
15. C₂×#16811297	C₂	semidirect
16. C₂×#16811297	C₂	semidirect
17. C₂×#16811247	C₂	semidirect
18. C₂×#16811245	C₂	semidirect
19. C₂×#16811245	C₂	semidirect
20. C₂×#16811244	C₂	semidirect
21. C₂×#16811243	C₂	semidirect
22. C₂×#16811237	C₂	semidirect
23. C₂×#16811213	C₂	semidirect
24. C₂×#16811212	C₂	semidirect
25. C₂×#16811212	C₂	semidirect
26. C₂×#16811212	C₂	semidirect
27. C₂×#16811207	C₂	semidirect
28. C₂×#16811206	C₂	semidirect
29. C₂×#16811160	C₂	semidirect
30. C₂×#16811156	C₂	semidirect
31. C₂×#16811151	C₂	semidirect
32. C₂×C₅₃×#556	C₂	semidirect
33. #16811375	C₂²	semidirect
34. #16811374	C₂²	semidirect
35. #16811372	C₂²	semidirect
36. #16811365	C₂²	semidirect
37. #16811346	C₂²	semidirect
38. #16811345	C₂²	semidirect
39. #16811345	C₂²	semidirect
40. #16811340	C₂²	semidirect
41. #16811340	C₂²	semidirect
42. #16811303	C₂²	semidirect
43. #16811302	C₂²	semidirect
44. #16811300	C₂²	semidirect
45. #16811298	C₂²	semidirect
46. #16811297	C₂²	semidirect
47. #16811297	C₂²	semidirect
48. #16811247	C₂²	semidirect
49. #16811245	C₂²	semidirect
50. #16811245	C₂²	semidirect
51. #16811244	C₂²	semidirect
52. #16811243	C₂²	semidirect
53. #16811237	C₂²	semidirect
54. #16811213	C₂²	semidirect
55. #16811212	C₂²	semidirect
56. #16811212	C₂²	semidirect
57. #16811212	C₂²	semidirect
58. #16811207	C₂²	semidirect
59. #16811206	C₂²	semidirect
60. C₂×#13133217	C₂²	semidirect
61. C₂×#13133216	C₂²	semidirect
62. C₂×#13133216	C₂²	semidirect
63. C₂×#13133215	C₂²	semidirect
64. C₂×#13133215	C₂²	semidirect
65. #16811160	C₂²	semidirect
66. #16811156	C₂²	semidirect
67. #16811151	C₂²	semidirect
68. C₂×#13133212	C₂²	semidirect
69. C₂×#13133212	C₂²	semidirect
70. C₂×#13133212	C₂²	semidirect
71. C₂×#13133212	C₂²	semidirect
72. C₂×#13133212	C₂²	semidirect
73. C₂×#13133212	C₂²	semidirect
74. C₂×#13133212	C₂²	semidirect
75. C₂×#13133212	C₂²	semidirect
76. C₂×#13133212	C₂²	semidirect
77. C₂×#13133212	C₂²	semidirect
78. C₂×#13133212	C₂²	semidirect
79. C₂×#13133212	C₂²	semidirect
80. C₂×#13133211	C₂²	semidirect
81. C₂×#13133211	C₂²	semidirect
82. C₂×#13133211	C₂²	semidirect
83. C₂×#13133211	C₂²	semidirect
84. C₂×#13133211	C₂²	semidirect
85. C₂×#13133211	C₂²	semidirect
86. C₂×#13133210	C₂²	semidirect
87. C₂×#13133210	C₂²	semidirect
88. C₂×#13133210	C₂²	semidirect
89. C₂×#13133210	C₂²	semidirect
90. C₂×#13133208	C₂²	semidirect
91. C₂×#13133207	C₂²	semidirect
92. C₂×#13133207	C₂²	semidirect
96. C₂×#13133206	C₂²	semidirect
97. C₂×#13133206	C₂²	semidirect
102. C₂×#13133205	C₂²	semidirect
103. C₂×#13133205	C₂²	semidirect
110. C₂×#13133203	C₂²	semidirect
111. C₂×#13133203	C₂²	semidirect
117. C₂×#13133202	C₂²	semidirect
118. C₂×#13133202	C₂²	semidirect
119. C₂×#13133202	C₂²	semidirect
120. C₂×#13133202	C₂²	semidirect
127. C₂×#13133199	C₂²	semidirect
128. C₂×#13133199	C₂²	semidirect
130. C₂×#13133197	C₂²	semidirect
131. C₂×#13133196	C₂²	semidirect
132. C₂×#13133195	C₂²	semidirect
133. C₂×#13133195	C₂²	semidirect
134. C₂×#13133195	C₂²	semidirect
135. C₂×#13133195	C₂²	semidirect
136. C₂×#13133195	C₂²	semidirect
137. C₂×#13133195	C₂²	semidirect
138. C₂×#13133195	C₂²	semidirect
139. C₂×#13133195	C₂²	semidirect
140. C₂×#13133195	C₂²	semidirect
141. C₂×#13133194	C₂²	semidirect
142. C₂×#13133194	C₂²	semidirect
143. C₂×#13133194	C₂²	semidirect
144. C₂×#13133193	C₂²	semidirect
145. C₂×#13133193	C₂²	semidirect
146. C₂×#13133193	C₂²	semidirect
147. C₂×#13133193	C₂²	semidirect
148. C₂×#13133193	C₂²	semidirect
162. C₂×#13133187	C₂²	semidirect
163. C₂×#13133187	C₂²	semidirect
166. C₂×C₄×Dic₁₀₆	C₂²	semidirect
167. C₂×C₄×Dic₁₀₆	C₂²	semidirect
168. C₂×C₄×Dic₁₀₆	C₂²	semidirect
169. C₂×#13133182	C₂²	semidirect
170. C₂×#13133182	C₂²	semidirect
171. C₂×#13133182	C₂²	semidirect
174. C₂×C₄×D₂₁₂	C₂²	semidirect
175. C₂×C₄×D₂₁₂	C₂²	semidirect
176. C₂×C₄×D₂₁₂	C₂²	semidirect
179. C₂×#13133179	C₂²	semidirect
181. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
185. C₂×#13133177	C₂²	semidirect
186. C₂×#13133175	C₂²	semidirect
187. C₂×#13133175	C₂²	semidirect
188. C₂×#13133174	C₂²	semidirect
189. C₂×#13133174	C₂²	semidirect
190. C₂×#13133174	C₂²	semidirect
191. C₂×#13133174	C₂²	semidirect
192. C₂×#13133174	C₂²	semidirect
193. C₂×#13133174	C₂²	semidirect
194. C₂×#13133173	C₂²	semidirect
195. C₂×#13133173	C₂²	semidirect
196. C₂²×#11719921	C₂²	semidirect
197. C₂²×#11719921	C₂²	semidirect
198. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
199. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
200. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
201. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
202. C₂×C₄²×D₅₃	C₂²	semidirect
203. C₅₃×#556	C₂²	semidirect
204. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
206. C₂×#126×C₅₃	C₂²	semidirect
207. C₂×#126×C₅₃	C₂²	semidirect
208. C₂×#126×C₅₃	C₂²	semidirect
211. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
212. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
213. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
214. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
215. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
217. C₂×#117×C₅₃	C₂²	semidirect
218. C₂×#117×C₅₃	C₂²	semidirect
254. #13133217	C₂³	semidirect
255. #13133216	C₂³	semidirect
256. #13133216	C₂³	semidirect
257. #13133215	C₂³	semidirect
258. #13133215	C₂³	semidirect
259. #13133212	C₂³	semidirect
260. #13133212	C₂³	semidirect
261. #13133212	C₂³	semidirect
262. #13133212	C₂³	semidirect
263. #13133212	C₂³	semidirect
264. #13133212	C₂³	semidirect
265. #13133212	C₂³	semidirect
266. #13133212	C₂³	semidirect
267. #13133212	C₂³	semidirect
268. #13133212	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133212	C₂³	semidirect
271. #13133211	C₂³	semidirect
272. #13133211	C₂³	semidirect
273. #13133211	C₂³	semidirect
274. #13133211	C₂³	semidirect
275. #13133211	C₂³	semidirect
276. #13133211	C₂³	semidirect
277. #13133210	C₂³	semidirect
278. #13133210	C₂³	semidirect
279. #13133210	C₂³	semidirect
280. #13133210	C₂³	semidirect
281. #13133208	C₂³	semidirect
282. #13133207	C₂³	semidirect
283. #13133207	C₂³	semidirect
287. #13133206	C₂³	semidirect
288. #13133206	C₂³	semidirect
293. #13133205	C₂³	semidirect
294. #13133205	C₂³	semidirect
301. #13133203	C₂³	semidirect
302. #13133203	C₂³	semidirect
308. #13133202	C₂³	semidirect
309. #13133202	C₂³	semidirect
310. #13133202	C₂³	semidirect
311. #13133202	C₂³	semidirect
318. #13133199	C₂³	semidirect
319. #13133199	C₂³	semidirect
321. #13133197	C₂³	semidirect
322. #13133196	C₂³	semidirect
323. #13133195	C₂³	semidirect
324. #13133195	C₂³	semidirect
325. #13133195	C₂³	semidirect
326. #13133195	C₂³	semidirect
327. #13133195	C₂³	semidirect
328. #13133195	C₂³	semidirect
329. #13133195	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
332. #13133194	C₂³	semidirect
333. #13133194	C₂³	semidirect
334. #13133194	C₂³	semidirect
335. #13133193	C₂³	semidirect
336. #13133193	C₂³	semidirect
337. #13133193	C₂³	semidirect
338. #13133193	C₂³	semidirect
339. #13133193	C₂³	semidirect
353. #13133187	C₂³	semidirect
354. #13133187	C₂³	semidirect
357. C₄×Dic₁₀₆	C₂³	semidirect
358. C₄×Dic₁₀₆	C₂³	semidirect
359. C₄×Dic₁₀₆	C₂³	semidirect
360. #13133182	C₂³	semidirect
361. #13133182	C₂³	semidirect
362. #13133182	C₂³	semidirect
365. C₄×D₂₁₂	C₂³	semidirect
366. C₄×D₂₁₂	C₂³	semidirect
367. C₄×D₂₁₂	C₂³	semidirect
370. #13133179	C₂³	semidirect
372. C₄×C₂²⋊D₅₃	C₂³	semidirect
376. #13133177	C₂³	semidirect
377. #13133175	C₂³	semidirect
378. #13133175	C₂³	semidirect
379. #13133174	C₂³	semidirect
380. #13133174	C₂³	semidirect
381. #13133174	C₂³	semidirect
382. #13133174	C₂³	semidirect
383. #13133174	C₂³	semidirect
384. #13133174	C₂³	semidirect
385. #13133173	C₂³	semidirect
386. #13133173	C₂³	semidirect
461. C₂×#11719921	C₂³	semidirect
462. C₂×#11719921	C₂³	semidirect
463. C₂²⋊C₄×D₅₃	C₂³	semidirect
464. C₂²⋊C₄×D₅₃	C₂³	semidirect
465. C₂²⋊C₄×D₅₃	C₂³	semidirect
466. C₂²⋊C₄×D₅₃	C₂³	semidirect
478. C₄²×D₅₃	C₂³	semidirect
485. C₄⋊Q₈×C₅₃	C₂³	semidirect
486. #126×C₅₃	C₂³	semidirect
487. #126×C₅₃	C₂³	semidirect
488. #126×C₅₃	C₂³	semidirect
489. #126×C₅₃	C₂³	semidirect
492. C₂²⋊Q₈×C₅₃	C₂³	semidirect
493. C₂²⋊Q₈×C₅₃	C₂³	semidirect
494. C₄×Q₈×C₅₃	C₂³	semidirect
495. C₄×Q₈×C₅₃	C₂³	semidirect
496. C₄×Q₈×C₅₃	C₂³	semidirect
498. #117×C₅₃	C₂³	semidirect
499. #117×C₅₃	C₂³	semidirect
953. C₂×#556	D₅₃	semidirect
977. C₂×C₅₃	#3568	semidirect
995. #556	C₂×D₅₃	semidirect
1019. C₂×C₄⋊Q₈	C₂×D₅₃	semidirect
1045. C₂×#126	C₂×D₅₃	semidirect
1046. C₂×#126	C₂×D₅₃	semidirect
1047. C₂×#126	C₂×D₅₃	semidirect
1048. C₂×#126	C₂×D₅₃	semidirect
1110. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1111. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1135. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1136. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1137. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1163. C₂×#117	C₂×D₅₃	semidirect
1164. C₂×#117	C₂×D₅₃	semidirect
1172. C₅₃	C₂×#3568	semidirect
1219. C₄⋊Q₈	C₂²×D₅₃	semidirect
1242. #126	C₂²×D₅₃	semidirect
1243. #126	C₂²×D₅₃	semidirect
1244. #126	C₂²×D₅₃	semidirect
1245. #126	C₂²×D₅₃	semidirect
1307. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1308. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1332. C₄×Q₈	C₂²×D₅₃	semidirect
1333. C₄×Q₈	C₂²×D₅₃	semidirect
1334. C₄×Q₈	C₂²×D₅₃	semidirect
1360. #117	C₂²×D₅₃	semidirect
1361. #117	C₂²×D₅₃	semidirect
1903. C₂	#20289410	direct (N × H)

Maximal subgroups

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

subgroup	index
#20289410	2
C₂×#16811375	2
C₂×#16811374	2
C₂×#16811372	2
C₂×#16811365	2
C₂×#16811346	2
C₂×#16811345	2
C₂×#16811340	2
C₂×#16811303	2
C₂×#16811302	2
C₂×#16811300	2
C₂×#16811298	2
C₂×#16811297	2
C₂×#16811247	2
C₂×#16811245	2
C₂×#16811244	2
C₂×#16811243	2
C₂×#16811237	2
C₂×#16811213	2
C₂×#16811212	2
C₂×#16811207	2
C₂×#16811206	2
C₂×#16811160	2
C₂×#16811156	2
C₂×#16811151	2
C₂×C₅₃×#556	2
C₂×#3568	53

Subgroups — C2×#20289410 #28291523

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20289410 #28291523