Subgroups — D₅₃×#3268 #28259097

Order 13568.

2966 conjugacy classes of subgroups.

The subgroup lattice has 2142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×AGL(1,ℤ/8)×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#135×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#550×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#546×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
5	#20286262	C₂	1	1	yes	maximal, characteristic, complemented
6	#20286261	C₂	1	1	yes	maximal, characteristic, complemented
7	#20286260	C₂	1	1	yes	maximal, characteristic, complemented
8	#20286259	C₂	1	1	yes	maximal, characteristic, complemented
9	#20286258	C₂	1	1	yes	maximal, characteristic, complemented
10	#20286257	C₂	1	1	yes	maximal, characteristic, complemented
11	#20286256	C₂	1	1	yes	maximal, characteristic, complemented
12	#20286255	C₂	1	1	yes	maximal, characteristic, complemented
13	#20286254	C₂	1	1	yes	maximal, characteristic, complemented
14	#20286253	C₂	1	1	yes	maximal, characteristic, complemented
15	#20286252	C₂	1	1	yes	maximal, characteristic, complemented
16	#20286251	C₂	1	1	yes	maximal, characteristic, complemented
17	#20286250	C₂	1	1	yes	maximal, characteristic, complemented
18	#20286249	C₂	1	1	yes	maximal, characteristic, complemented
19	#20286248	C₂	1	1	yes	maximal, characteristic, complemented
20	#496×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#468×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#466×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#464×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#459×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#452×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
26	#449×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#449×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#447×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#440×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#435×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
34	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
36	C₂×#13133245	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133244	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13133244	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13133243	C₂²	1	1	yes	characteristic, complemented
40	C₂×#13133242	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13133241	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13133241	C₂²	1	1	yes	characteristic, complemented
43	AGL(1,ℤ/8)×D₅₃	—	2	8	no	—
44	C₂×#13133240	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13133239	C₂²	1	1	yes	characteristic, complemented
46	C₂×#13133238	C₂²	1	1	yes	characteristic, complemented
47	C₂×#13133238	C₂²	1	1	yes	characteristic, complemented
48	C₂×#13133237	C₂²	1	1	yes	characteristic, complemented
49	C₂×#13133237	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13133236	C₂²	1	1	yes	characteristic, complemented
51	#135×D₅₃	—	2	8	no	—
52	C₂×Q₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×SD₁₆×D₅₃	C₂²	1	1	yes	characteristic
54	C₂×SD₁₆×D₅₃	C₂²	1	1	yes	characteristic
55	C₂×SD₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×SD₁₆×D₅₃	C₂²	1	1	yes	characteristic, complemented
57	C₂×D₈×D₅₃	C₂²	1	1	yes	characteristic
58	C₂×D₈×D₅₃	C₂²	1	1	yes	characteristic
59	C₂×D₈×D₅₃	C₂²	1	1	yes	characteristic
60	C₂×D₈×D₅₃	C₂²	1	1	yes	characteristic
61	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic
62	C₂²×C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
63	#16811295	C₂²	1	1	yes	characteristic, complemented
64	#16811294	—	2	1	no	—
65	#16811294	C₂²	1	1	yes	characteristic, complemented
66	#16811293	—	2	1	no	—
67	#16811293	C₂²	1	1	yes	characteristic, complemented
68	#16811292	C₂²	1	1	yes	characteristic, complemented
69	#16811292	C₂²	1	1	yes	characteristic, complemented
70	#16811291	—	2	1	no	—
71	#16811291	—	2	1	no	—
72	#16811291	C₂²	1	1	yes	characteristic, complemented
73	#16811291	C₂²	1	1	yes	characteristic, complemented
74	#16811270	C₂²	1	1	yes	characteristic, complemented
75	#16811269	C₂²	1	1	yes	characteristic, complemented
76	#16811268	C₂²	1	1	yes	characteristic, complemented
77	#16811267	C₂²	1	1	yes	characteristic, complemented
78	#16811266	C₂²	1	1	yes	characteristic, complemented
79	#16811265	—	2	1	no	—
80	#16811264	C₂²	1	1	yes	characteristic, complemented
81	#16811263	—	2	1	no	—
82	#16811262	—	2	1	no	—
83	#16811261	C₂²	1	1	yes	characteristic, complemented
84	#16811260	—	2	1	no	—
85	#127×D₅₃	—	2	1	no	—
86	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
87	#124×D₅₃	C₂²	1	1	yes	characteristic
88	#123×D₅₃	—	2	1	no	—
89	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
90	#121×D₅₃	—	2	1	no	—
91	#121×D₅₃	—	2	1	no	—
92	#121×D₅₃	—	2	1	no	—
93	#121×D₅₃	C₂²	1	1	yes	characteristic
94	#121×D₅₃	C₂²	1	1	yes	characteristic
95	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
96	#120×D₅₃	—	2	1	no	—
97	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
98	C₄×D₄×D₅₃	—	2	1	no	—
99	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
100	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
101	C₂×C₂²⋊C₄×D₅₃	—	2	1	no	—
102	#16811013	C₂²	1	1	yes	characteristic, complemented
103	#16811012	C₂²	1	1	yes	characteristic, complemented
104	#16811011	C₂²	1	1	yes	characteristic, complemented
105	#16811011	C₂²	1	1	yes	characteristic, complemented
106	#16811010	C₂²	1	1	yes	characteristic, complemented
107	#16811009	C₂²	1	1	yes	characteristic, complemented
108	#16811009	C₂²	1	1	yes	characteristic, complemented
109	#16810872	C₂²	1	1	yes	characteristic, complemented
110	#16810871	C₂²	1	1	yes	characteristic, complemented
111	#16810870	C₂²	1	1	yes	characteristic, complemented
112	#16810869	C₂²	1	1	yes	characteristic, complemented
113	#16810868	C₂²	1	1	yes	characteristic, complemented
114	#16810867	C₂²	1	1	yes	characteristic, complemented
115	#16810866	C₂²	1	1	yes	characteristic, complemented
116	#16810860	C₂²	1	1	yes	characteristic, complemented
117	#16810859	C₂²	1	1	yes	characteristic, complemented
118	#16810858	C₂²	1	1	yes	characteristic, complemented
119	#16810858	C₂²	1	1	yes	characteristic, complemented
120	#16810857	C₂²	1	1	yes	characteristic, complemented
121	#16810857	C₂²	1	1	yes	characteristic, complemented
122	#16810856	C₂²	1	1	yes	characteristic, complemented
123	#16810848	C₂²	1	1	yes	characteristic, complemented
124	#16810847	C₂²	1	1	yes	characteristic, complemented
125	#16810846	C₂²	1	1	yes	characteristic, complemented
126	#16810845	C₂²	1	1	yes	characteristic, complemented
127	#16810844	C₂²	1	1	yes	characteristic, complemented
128	#16810843	C₂²	1	1	yes	characteristic, complemented
129	#16810842	C₂²	1	1	yes	characteristic, complemented
130	#16810819	C₂²	1	1	yes	characteristic, complemented
131	#16810818	C₂²	1	1	yes	characteristic, complemented
132	#16810817	C₂²	1	1	yes	characteristic, complemented
133	#16810817	C₂²	1	1	yes	characteristic, complemented
134	#16810816	C₂²	1	1	yes	characteristic, complemented
135	#16810816	C₂²	1	1	yes	characteristic, complemented
136	#16810815	C₂²	1	1	yes	characteristic, complemented
137	#16810788	C₂²	1	1	yes	characteristic, complemented
138	#16810787	C₂²	1	1	yes	characteristic, complemented
139	#16810786	C₂²	1	1	yes	characteristic, complemented
140	#16810785	C₂²	1	1	yes	characteristic, complemented
141	#16810784	C₂²	1	1	yes	characteristic, complemented
142	#16810783	C₂²	1	1	yes	characteristic, complemented
143	#16810782	C₂²	1	1	yes	characteristic, complemented
144	#16810771	C₂²	1	1	yes	characteristic, complemented
145	#16810771	C₂²	1	1	yes	characteristic, complemented
146	#16810770	C₂²	1	1	yes	characteristic, complemented
147	#16810770	C₂²	1	1	yes	characteristic, complemented
148	#16810769	C₂²	1	1	yes	characteristic, complemented
149	#16810769	C₂²	1	1	yes	characteristic, complemented
150	#16810768	C₂²	1	1	yes	characteristic, complemented
151	#16810768	C₂²	1	1	yes	characteristic, complemented
152	#16810767	C₂²	1	1	yes	characteristic, complemented
153	#16810767	C₂²	1	1	yes	characteristic, complemented
154	#16810766	C₂²	1	1	yes	characteristic, complemented
155	#16810766	C₂²	1	1	yes	characteristic, complemented
156	#16810765	C₂²	1	1	yes	characteristic, complemented
157	#16810765	C₂²	1	1	yes	characteristic, complemented
158	#16810759	C₂²	1	1	yes	characteristic, complemented
159	#16810758	C₂²	1	1	yes	characteristic, complemented
160	#16810758	C₂²	1	1	yes	characteristic, complemented
161	#16810757	C₂²	1	1	yes	characteristic, complemented
162	#16810756	C₂²	1	1	yes	characteristic, complemented
163	#16810755	C₂²	1	1	yes	characteristic, complemented
164	#16810755	C₂²	1	1	yes	characteristic, complemented
165	#16810726	C₂²	1	1	yes	characteristic, complemented
166	#16810725	C₂²	1	1	yes	characteristic, complemented
167	#16810724	C₂²	1	1	yes	characteristic, complemented
168	#16810723	C₂²	1	1	yes	characteristic, complemented
169	#16810722	C₂²	1	1	yes	characteristic, complemented
170	#16810721	C₂²	1	1	yes	characteristic, complemented
171	#16810720	C₂²	1	1	yes	characteristic, complemented
172	#16810697	C₂²	1	1	yes	characteristic, complemented
173	#16810696	C₂²	1	1	yes	characteristic, complemented
174	#16810695	C₂²	1	1	yes	characteristic, complemented
175	#16810694	C₂²	1	1	yes	characteristic, complemented
176	#16810693	C₂²	1	1	yes	characteristic, complemented
177	#16810692	C₂²	1	1	yes	characteristic, complemented
178	#16810691	C₂²	1	1	yes	characteristic, complemented
179	#107×D₅₃	C₂²	1	1	yes	characteristic, complemented
180	C₄⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
181	#103×D₅₃	C₂²	1	1	yes	characteristic, complemented
182	#103×D₅₃	C₂²	1	1	yes	characteristic, complemented
183	#102×D₅₃	C₂²	1	1	yes	characteristic
184	#102×D₅₃	C₂²	1	1	yes	characteristic
185	#102×D₅₃	C₂²	1	1	yes	characteristic, complemented
186	#102×D₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic
188	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
189	#97×D₅₃	C₂²	1	1	yes	characteristic, complemented
190	C₂×AGL(1,ℤ/8)×C₅₃	C₂²	1	1	yes	characteristic, complemented
191	C₂×#135×C₅₃	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#546	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#496	C₂²	1	1	yes	characteristic, complemented
195	C₅₃×#468	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#466	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#464	C₂²	1	1	yes	characteristic, complemented
198	C₅₃×#459	C₂²	1	1	yes	characteristic, complemented
199	C₅₃×#452	C₂²	1	1	yes	characteristic, complemented
200	C₅₃×#449	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#449	C₂²	1	1	yes	characteristic, complemented
202	C₅₃×#447	C₂²	1	1	yes	characteristic, complemented
203	C₅₃×#440	C₂²	1	1	yes	characteristic, complemented
204	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
205	C₂⁴×D₅₃	—	2	1	no	—
206	C₂×#11719949	C₂³	1	1	yes	characteristic
207	C₂×#11719949	C₂³	1	1	yes	characteristic
208	C₂×#11719949	C₂³	1	1	yes	characteristic, complemented
209	C₂×#11719945	—	2	1	no	—
210	C₂×#11719945	—	2	1	no	—
211	C₂×#11719945	—	2	1	no	—
212	C₂×#11719945	C₂³	1	1	yes	characteristic
213	C₂×#11719945	C₂³	1	1	yes	characteristic
214	C₂×#11719945	C₂³	1	1	yes	characteristic, complemented
215	C₂×#11719947	—	2	1	no	—
216	C₂×#11719947	—	2	1	no	—
217	C₂×#11719947	—	2	1	no	—
218	C₂×#11719947	C₂³	1	1	yes	characteristic
219	C₂×#11719947	C₂³	1	1	yes	characteristic
220	C₂×#11719947	C₂³	1	1	yes	characteristic, complemented
221	#41×D₅₃	—	2	4	no	—
222	#41×D₅₃	—	2	4	no	—
223	#41×D₅₃	—	2	4	no	—
224	#41×D₅₃	—	4	2	no	—
225	#41×D₅₃	—	4	2	no	—
226	#41×D₅₃	—	4	2	no	—
227	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
228	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
229	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₅₃	—	2	1	no	—
231	C₂×D₄×D₅₃	—	2	4	no	—
232	C₂×D₄×D₅₃	—	2	1	no	—
233	C₂×D₄×D₅₃	—	2	1	no	—
234	C₂×D₄×D₅₃	—	2	1	no	—
235	C₂×D₄×D₅₃	—	2	1	no	—
236	C₂×D₄×D₅₃	—	2	1	no	—
237	C₂×D₄×D₅₃	—	2	1	no	—
238	C₂×D₄×D₅₃	—	2	1	no	—
239	C₂×D₄×D₅₃	—	2	1	no	—
240	C₂×D₄×D₅₃	—	2	1	no	—
241	C₂×D₄×D₅₃	—	2	1	no	—
242	C₂×D₄×D₅₃	—	4	2	no	—
243	C₂×D₄×D₅₃	D₄	1	1	yes	characteristic
244	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
245	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
246	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
247	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
248	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
249	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₅₃	—	2	1	no	—
251	C₂²×C₄×D₅₃	—	2	1	no	—
252	C₂²×C₄×D₅₃	—	2	1	no	—
253	C₂²×C₄×D₅₃	—	2	1	no	—
254	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
256	#13133245	—	2	4	no	—
257	#13133244	—	2	4	no	—
258	#13133244	—	2	4	no	—
259	#13133243	—	2	4	no	—
260	#13133242	—	2	4	no	—
261	#13133241	—	2	4	no	—
262	#13133241	—	2	4	no	—
263	#13133240	—	2	4	no	—
264	#13133239	—	2	4	no	—
265	#13133238	—	2	4	no	—
266	#13133238	—	2	4	no	—
267	#13133237	—	2	4	no	—
268	#13133237	—	2	4	no	—
269	#13133236	—	2	4	no	—
270	C₂×Dic₂₁₂	C₂³	1	1	yes	characteristic, complemented
271	C₂×#11719925	C₂³	1	1	yes	characteristic, complemented
272	C₂×#11719925	C₂³	1	1	yes	characteristic, complemented
273	Q₁₆×D₅₃	—	2	4	no	—
274	C₂×#11719913	C₂³	1	1	yes	characteristic
275	C₂×#11719913	C₂³	1	1	yes	characteristic
276	C₂×#11719913	C₂³	1	1	yes	characteristic, complemented
277	C₂×#11719913	C₂³	1	1	yes	characteristic, complemented
278	C₂×#11719923	C₂³	1	1	yes	characteristic
279	C₂×#11719923	C₂³	1	1	yes	characteristic
280	C₂×#11719923	C₂³	1	1	yes	characteristic, complemented
281	C₂×#11719923	C₂³	1	1	yes	characteristic, complemented
282	C₂×#11719924	C₂³	1	1	yes	characteristic
283	C₂×#11719924	C₂³	1	1	yes	characteristic
284	C₂×#11719924	C₂³	1	1	yes	characteristic, complemented
285	C₂×#11719924	C₂³	1	1	yes	characteristic, complemented
286	SD₁₆×D₅₃	—	2	4	no	—
287	SD₁₆×D₅₃	—	2	4	no	—
288	SD₁₆×D₅₃	—	4	2	no	—
289	SD₁₆×D₅₃	D₄	1	8	yes	complemented
290	C₂×D₄₂₄	C₂³	1	1	yes	characteristic
291	C₂×D₄₂₄	C₂³	1	1	yes	characteristic
292	C₂×D₄₂₄	C₂³	1	1	yes	characteristic
293	C₂×D₄₂₄	C₂³	1	1	yes	characteristic
294	C₂×#11719922	C₂³	1	1	yes	characteristic
295	C₂×#11719922	C₂³	1	1	yes	characteristic
296	C₂×#11719922	C₂³	1	1	yes	characteristic
297	C₂×#11719922	C₂³	1	1	yes	characteristic
298	C₂×#11719922	C₂³	1	1	yes	characteristic
299	C₂×#11719922	C₂³	1	1	yes	characteristic
300	C₂×#11719922	C₂³	1	1	yes	characteristic
301	C₂×#11719922	C₂³	1	1	yes	characteristic
302	D₈×D₅₃	—	2	4	no	—
303	D₈×D₅₃	—	2	4	no	—
304	D₈×D₅₃	—	2	4	no	—
305	D₈×D₅₃	—	4	2	no	—
306	C₂×#11719917	C₂³	1	1	yes	characteristic
307	C₂×#11719912	C₂³	1	1	yes	characteristic
308	C₂×#11719912	C₂³	1	1	yes	characteristic
309	M₁₆×D₅₃	—	2	4	no	—
310	C₂²×#88322	C₂³	1	1	yes	characteristic, complemented
311	C₂×C₈×D₅₃	—	2	4	no	—
312	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic, complemented
317	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic, complemented
318	#13133214	—	2	1	no	—
319	#13133214	C₂³	1	1	yes	characteristic, complemented
320	#13133213	—	2	1	no	—
321	#13133213	—	2	1	no	—
322	#13133213	—	2	1	no	—
323	#13133213	—	2	1	no	—
324	#13133213	—	2	1	no	—
325	#13133213	—	2	1	no	—
326	#13133213	—	2	1	no	—
327	#13133213	—	2	1	no	—
328	#13133213	C₂³	1	1	yes	characteristic, complemented
329	#13133213	C₂³	1	1	yes	characteristic, complemented
330	#13133206	C₂³	1	1	yes	characteristic
331	#13133205	C₂³	1	1	yes	characteristic
332	#13133204	C₂³	1	1	yes	characteristic
333	#13133203	—	2	1	no	—
334	#13133203	—	2	1	no	—
335	#13133202	—	2	1	no	—
336	#13133202	—	2	1	no	—
337	#13133201	—	2	1	no	—
338	#13133200	—	2	1	no	—
339	#13133199	—	2	1	no	—
340	#13133199	—	2	1	no	—
341	#13133198	—	2	1	no	—
342	#13133197	C₂³	1	1	yes	characteristic
343	#13133196	C₂³	1	1	yes	characteristic
344	#13133195	—	2	1	no	—
345	#13133194	—	2	1	no	—
346	#13133193	C₂³	1	1	yes	characteristic
347	#13133192	—	2	1	no	—
348	#13133192	—	2	1	no	—
349	#13133192	—	2	1	no	—
350	#13133192	C₂³	1	1	yes	characteristic
351	#13133192	C₂³	1	1	yes	characteristic
352	#13133192	C₂³	1	1	yes	characteristic, complemented
353	#13133191	—	2	1	no	—
354	#13133191	—	2	1	no	—
355	#13133191	—	2	1	no	—
356	#13133191	C₂³	1	1	yes	characteristic
357	#13133191	C₂³	1	1	yes	characteristic
358	#13133191	C₂³	1	1	yes	characteristic, complemented
359	#13133190	—	2	1	no	—
360	#13133190	—	2	1	no	—
361	#13133190	—	2	1	no	—
362	#13133190	—	2	1	no	—
363	#13133190	—	2	1	no	—
364	#13133190	—	2	1	no	—
365	#13133190	—	2	1	no	—
366	#13133190	—	2	1	no	—
367	#13133190	—	2	1	no	—
368	#13133189	—	2	1	no	—
369	#13133189	—	2	1	no	—
370	#13133189	—	2	1	no	—
371	#13133189	—	2	1	no	—
372	#13133189	—	2	1	no	—
373	#13133189	—	2	1	no	—
374	#13133189	—	2	1	no	—
375	#13133189	—	2	1	no	—
376	#13133189	—	2	1	no	—
377	#13133188	—	2	1	no	—
378	#13133188	—	2	1	no	—
379	#13133188	—	2	1	no	—
380	#13133188	C₂³	1	1	yes	characteristic
381	#13133188	C₂³	1	1	yes	characteristic
382	#13133188	C₂³	1	1	yes	characteristic, complemented
383	#13133187	—	2	1	no	—
384	#13133187	—	2	1	no	—
385	#13133187	—	2	1	no	—
386	#13133186	—	2	1	no	—
387	#13133185	—	2	1	no	—
388	#13133185	—	2	1	no	—
389	#13133185	—	2	1	no	—
390	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
391	C₄×Dic₁₀₆	—	2	1	no	—
392	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
393	#13133182	—	2	1	no	—
394	#13133182	C₂³	1	1	yes	characteristic, complemented
395	C₄×D₂₁₂	—	2	1	no	—
396	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
397	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
398	D₄×Dic₅₃	—	2	1	no	—
399	D₄×Dic₅₃	D₄	1	1	yes	characteristic
400	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
401	#13133179	—	2	1	no	—
402	#13133179	D₄	1	1	yes	characteristic
403	#13133179	C₂³	1	1	yes	characteristic
404	C₄×C₂²⋊D₅₃	—	2	1	no	—
405	C₄×C₂²⋊D₅₃	—	2	1	no	—
406	C₄×C₂²⋊D₅₃	—	2	1	no	—
407	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
408	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
409	#13133177	—	2	1	no	—
410	#13133177	—	2	1	no	—
411	#13133177	—	2	1	no	—
412	#13133177	D₄	1	1	yes	characteristic
413	#13133177	D₄	1	1	yes	characteristic
414	C₄⋊C₄×D₅₃	—	2	1	no	—
415	C₄⋊C₄×D₅₃	—	2	1	no	—
416	C₄⋊C₄×D₅₃	D₄	1	1	yes	characteristic
417	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
418	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
419	C₂×C₂²⋊Dic₅₃	—	2	1	no	—
420	C₂×#11719921	—	2	1	no	—
421	C₂×#11719921	—	2	1	no	—
422	C₂²⋊C₄×D₅₃	—	2	1	no	—
423	C₂²⋊C₄×D₅₃	—	2	1	no	—
424	C₂²⋊C₄×D₅₃	—	2	1	no	—
425	C₂²⋊C₄×D₅₃	—	2	1	no	—
426	C₂²⋊C₄×D₅₃	—	2	1	no	—
427	C₂²⋊C₄×D₅₃	—	2	1	no	—
428	C₂²⋊C₄×D₅₃	—	2	1	no	—
429	C₂²⋊C₄×D₅₃	—	2	1	no	—
430	C₂²⋊C₄×D₅₃	—	2	1	no	—
431	C₂²⋊C₄×D₅₃	—	2	1	no	—
432	C₂²⋊C₄×D₅₃	—	2	1	no	—
433	C₂²⋊C₄×D₅₃	D₄	1	1	yes	characteristic
434	C₂²⋊C₄×D₅₃	D₄	1	1	yes	characteristic
435	C₄²×D₅₃	—	2	1	no	—
436	C₄²×D₅₃	C₂³	1	1	yes	characteristic
437	#13133151	C₂³	1	1	yes	characteristic, complemented
438	#13133150	C₂³	1	1	yes	characteristic, complemented
439	#13133150	C₂³	1	1	yes	characteristic, complemented
440	C₄⋊#88322	C₂³	1	1	yes	characteristic, complemented
441	#13133146	C₂³	1	1	yes	characteristic, complemented
442	#13133146	C₂³	1	1	yes	characteristic, complemented
443	#13133142	C₂³	1	1	yes	characteristic, complemented
444	#13133142	C₂³	1	1	yes	characteristic, complemented
445	#13133141	C₂³	1	1	yes	characteristic, complemented
446	#13133141	C₂³	1	1	yes	characteristic, complemented
447	#13133140	C₂³	1	1	yes	characteristic, complemented
448	#13133140	C₂³	1	1	yes	characteristic, complemented
449	#13133139	C₂³	1	1	yes	characteristic
450	#13133139	C₂³	1	1	yes	characteristic
451	#13133139	C₂³	1	1	yes	characteristic, complemented
452	#13133139	C₂³	1	1	yes	characteristic, complemented
453	#13133138	C₂³	1	1	yes	characteristic
454	#13133138	C₂³	1	1	yes	characteristic
455	#13133138	C₂³	1	1	yes	characteristic, complemented
456	#13133138	C₂³	1	1	yes	characteristic, complemented
457	#13133137	C₂³	1	1	yes	characteristic
458	#13133137	C₂³	1	1	yes	characteristic
459	#13133137	C₂³	1	1	yes	characteristic, complemented
460	#13133137	C₂³	1	1	yes	characteristic, complemented
461	C₂²⋊#88322	C₂³	1	1	yes	characteristic
462	C₂²⋊#88322	C₂³	1	1	yes	characteristic, complemented
463	#13133129	C₂³	1	1	yes	characteristic
464	#13133129	C₂³	1	1	yes	characteristic
465	#13133129	C₂³	1	1	yes	characteristic, complemented
466	#13133129	C₂³	1	1	yes	characteristic, complemented
467	#13133128	C₂³	1	1	yes	characteristic, complemented
468	#13133127	C₂³	1	1	yes	characteristic, complemented
469	#13133127	C₂³	1	1	yes	characteristic, complemented
470	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
471	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
472	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic, complemented
473	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
474	AGL(1,ℤ/8)×C₅₃	—	2	4	no	—
475	#135×C₅₃	—	2	4	no	—
476	C₂×Q₁₆×C₅₃	C₂³	1	1	yes	characteristic, complemented
477	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
478	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic
479	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic, complemented
480	C₂×SD₁₆×C₅₃	C₂³	1	1	yes	characteristic, complemented
481	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
482	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
484	C₂×D₈×C₅₃	C₂³	1	1	yes	characteristic
485	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
486	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
487	#127×C₅₃	—	2	1	no	—
488	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
489	#124×C₅₃	C₂³	1	1	yes	characteristic
490	#123×C₅₃	—	2	1	no	—
491	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
492	#121×C₅₃	—	2	1	no	—
493	#121×C₅₃	—	2	1	no	—
494	#121×C₅₃	—	2	1	no	—
495	#121×C₅₃	C₂³	1	1	yes	characteristic
496	#121×C₅₃	C₂³	1	1	yes	characteristic
497	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
498	#120×C₅₃	—	2	1	no	—
499	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
500	C₄×D₄×C₅₃	—	2	1	no	—
501	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
502	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
504	#107×C₅₃	C₂³	1	1	yes	characteristic, complemented
505	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
506	#103×C₅₃	C₂³	1	1	yes	characteristic, complemented
507	#103×C₅₃	C₂³	1	1	yes	characteristic, complemented
508	#102×C₅₃	C₂³	1	1	yes	characteristic
509	#102×C₅₃	C₂³	1	1	yes	characteristic
510	#102×C₅₃	C₂³	1	1	yes	characteristic, complemented
511	#102×C₅₃	C₂³	1	1	yes	characteristic, complemented
512	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
513	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
514	#97×C₅₃	C₂³	1	1	yes	characteristic, complemented
515	C₂⁴×C₅₃	—	2	1	no	—
516	C₂³×D₅₃	—	2	1	no	—
517	C₂³×D₅₃	—	2	1	no	—
518	C₂³×D₅₃	—	2	1	no	—
519	C₂³×D₅₃	—	2	1	no	—
520	C₂³×D₅₃	—	2	1	no	—
521	C₂³×D₅₃	—	2	1	no	—
522	C₂³×D₅₃	—	2	1	no	—
523	C₂³×D₅₃	—	4	4	no	—
524	C₂³×D₅₃	—	4	4	no	—
525	C₂³×D₅₃	—	8	2	no	—
526	C₂³×D₅₃	C₂×D₄	1	1	yes	characteristic
527	C₂³×D₅₃	C₂×D₄	1	1	yes	characteristic
528	#41×C₅₃	—	2	2	no	—
529	#41×C₅₃	—	2	2	no	—
530	#41×C₅₃	—	2	2	no	—
531	#41×C₅₃	—	4	1	no	—
532	#41×C₅₃	—	4	1	no	—
533	#41×C₅₃	—	4	1	no	—
534	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₅₃	—	2	2	no	—
537	C₂×D₄×C₅₃	—	2	1	no	—
538	C₂×D₄×C₅₃	—	2	1	no	—
539	C₂×D₄×C₅₃	—	2	1	no	—
540	C₂×D₄×C₅₃	—	2	1	no	—
541	C₂×D₄×C₅₃	—	2	1	no	—
542	C₂×D₄×C₅₃	—	2	1	no	—
543	C₂×D₄×C₅₃	—	2	1	no	—
544	C₂×D₄×C₅₃	—	2	1	no	—
545	C₂×D₄×C₅₃	—	2	1	no	—
546	C₂×D₄×C₅₃	—	4	1	no	—
547	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
548	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₅₃	—	2	1	no	—
553	C₂²×C₄×C₅₃	—	2	1	no	—
554	C₂²×C₄×C₅₃	—	2	1	no	—
555	C₂²×C₄×C₅₃	—	2	1	no	—
556	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₂²⋊D₅₃	—	2	1	no	—
559	C₂×C₂²⋊D₅₃	—	2	1	no	—
560	C₂×C₂²⋊D₅₃	—	2	1	no	—
561	C₂×C₂²⋊D₅₃	—	2	1	no	—
562	C₂×C₂²⋊D₅₃	—	2	1	no	—
563	C₂×C₂²⋊D₅₃	—	2	1	no	—
564	C₂×C₂²⋊D₅₃	—	2	1	no	—
565	C₂×C₂²⋊D₅₃	—	2	1	no	—
566	C₂×C₂²⋊D₅₃	—	2	1	no	—
567	C₂×C₂²⋊D₅₃	—	2	1	no	—
568	C₂×C₂²⋊D₅₃	—	2	1	no	—
569	C₂×C₂²⋊D₅₃	—	2	1	no	—
570	C₂×C₂²⋊D₅₃	—	2	1	no	—
571	C₂×C₂²⋊D₅₃	—	2	1	no	—
572	C₂×C₂²⋊D₅₃	—	2	1	no	—
573	C₂×C₂²⋊D₅₃	—	2	1	no	—
574	C₂×C₂²⋊D₅₃	—	2	1	no	—
575	C₂×C₂²⋊D₅₃	—	2	1	no	—
576	C₂×C₂²⋊D₅₃	—	2	1	no	—
577	C₂×C₂²⋊D₅₃	—	2	1	no	—
578	C₂×C₂²⋊D₅₃	—	2	1	no	—
579	C₂×C₂²⋊D₅₃	—	2	1	no	—
580	C₂×C₂²⋊D₅₃	—	4	4	no	—
581	C₂×C₂²⋊D₅₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₂²⋊D₅₃	C₂×D₄	1	1	yes	characteristic
583	C₂²×Dic₅₃	—	2	1	no	—
584	C₂²×Dic₅₃	—	2	1	no	—
585	C₂²×Dic₅₃	—	2	1	no	—
586	C₂²×Dic₅₃	—	2	1	no	—
587	C₂²×Dic₅₃	C₂×D₄	1	1	yes	characteristic
588	C₂²×Dic₅₃	C₂×D₄	1	1	yes	characteristic
589	#11719949	—	2	2	no	—
590	#11719949	—	2	2	no	—
591	#11719949	—	2	2	no	—
592	#11719949	—	4	1	no	—
593	#11719949	—	4	1	no	—
594	#11719949	—	4	1	no	—
595	Q₈×D₅₃	—	2	2	no	—
596	Q₈×D₅₃	—	2	2	no	—
597	Q₈×D₅₃	—	2	2	no	—
598	Q₈×D₅₃	C₂×D₄	1	4	yes	—
599	#11719947	—	2	2	no	—
600	#11719947	—	2	2	no	—
601	#11719947	—	2	2	no	—
602	#11719947	—	4	1	no	—
603	#11719947	—	4	1	no	—
604	#11719947	—	4	1	no	—
605	#11719947	—	4	4	no	—
606	#11719947	—	4	4	no	—
607	#11719947	—	4	4	no	—
608	D₄×D₅₃	—	2	2	no	—
609	D₄×D₅₃	—	2	2	no	—
610	D₄×D₅₃	—	2	2	no	—
611	D₄×D₅₃	—	2	2	no	—
612	D₄×D₅₃	—	2	2	no	—
613	D₄×D₅₃	—	2	2	no	—
614	D₄×D₅₃	—	2	2	no	—
615	D₄×D₅₃	—	2	2	no	—
616	D₄×D₅₃	—	2	2	no	—
617	D₄×D₅₃	—	4	1	no	—
618	D₄×D₅₃	—	4	1	no	—
619	D₄×D₅₃	—	4	4	no	—
620	D₄×D₅₃	—	4	2	no	—
621	D₄×D₅₃	—	4	4	no	—
622	D₄×D₅₃	—	4	4	no	—
623	D₄×D₅₃	—	4	4	no	—
624	D₄×D₅₃	—	4	4	no	—
625	D₄×D₅₃	—	4	4	no	—
626	D₄×D₅₃	—	8	2	no	—
627	D₄×D₅₃	—	8	2	no	—
628	D₄×D₅₃	—	8	2	no	—
629	D₄×D₅₃	—	8	2	no	—
630	D₄×D₅₃	C₂×D₄	1	4	yes	—
631	#11719945	—	2	2	no	—
632	#11719945	—	2	2	no	—
633	#11719945	—	2	2	no	—
634	#11719945	—	4	4	no	—
635	#11719945	—	4	4	no	—
636	#11719945	—	4	1	no	—
637	#11719945	—	4	1	no	—
638	#11719945	—	4	1	no	—
639	#11719945	—	4	4	no	—
640	C₂×D₂₁₂	—	2	2	no	—
641	C₂×D₂₁₂	—	2	1	no	—
642	C₂×D₂₁₂	—	2	1	no	—
643	C₂×D₂₁₂	—	2	1	no	—
644	C₂×D₂₁₂	—	2	1	no	—
645	C₂×D₂₁₂	—	2	1	no	—
646	C₂×D₂₁₂	—	2	1	no	—
647	C₂×D₂₁₂	—	2	1	no	—
648	C₂×D₂₁₂	—	2	1	no	—
649	C₂×D₂₁₂	—	2	1	no	—
650	C₂×D₂₁₂	—	4	1	no	—
651	C₂×D₂₁₂	C₂×D₄	1	1	yes	characteristic
652	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
653	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
654	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
655	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
656	C₂×C₄×D₅₃	—	2	1	no	—
657	C₂×C₄×D₅₃	—	2	2	no	—
658	C₂×C₄×D₅₃	—	2	2	no	—
659	C₂×C₄×D₅₃	—	2	2	no	—
660	C₂×C₄×D₅₃	—	2	2	no	—
661	C₂×C₄×D₅₃	—	2	1	no	—
662	C₂×C₄×D₅₃	—	2	1	no	—
663	C₂×C₄×D₅₃	—	2	1	no	—
664	C₂×C₄×D₅₃	—	2	1	no	—
665	C₂×C₄×D₅₃	—	2	1	no	—
666	C₂×C₄×D₅₃	—	2	1	no	—
667	C₂×C₄×D₅₃	—	2	1	no	—
668	C₂×C₄×D₅₃	—	2	1	no	—
669	C₂×C₄×D₅₃	—	2	1	no	—
670	C₂×C₄×D₅₃	—	2	1	no	—
671	C₂×C₄×D₅₃	—	2	1	no	—
672	C₂×C₄×D₅₃	—	4	4	no	—
673	C₂×C₄×D₅₃	—	4	4	no	—
674	C₂×C₄×D₅₃	—	4	4	no	—
675	C₂×C₄×D₅₃	—	8	2	no	—
676	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
677	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
678	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
679	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
680	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
681	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
682	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
683	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
684	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
685	C₂×Dic₁₀₆	—	2	1	no	—
686	C₂×Dic₁₀₆	—	2	1	no	—
687	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
688	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
689	Q₁₆×C₅₃	—	2	2	no	—
690	SD₁₆×C₅₃	—	2	2	no	—
691	SD₁₆×C₅₃	—	2	2	no	—
692	SD₁₆×C₅₃	—	4	1	no	—
693	SD₁₆×C₅₃	C₂×D₄	1	4	yes	complemented
694	D₈×C₅₃	—	2	2	no	—
695	D₈×C₅₃	—	2	2	no	—
696	D₈×C₅₃	—	2	2	no	—
697	D₈×C₅₃	—	4	1	no	—
698	M₁₆×C₅₃	—	2	2	no	—
699	C₂×C₈×C₅₃	—	2	2	no	—
700	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
701	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
702	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
703	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
704	C₄⋊C₄×C₅₃	—	2	1	no	—
705	C₄⋊C₄×C₅₃	—	2	1	no	—
706	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
707	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
709	C₂²⋊C₄×C₅₃	—	2	1	no	—
710	C₂²⋊C₄×C₅₃	—	2	1	no	—
711	C₂²⋊C₄×C₅₃	—	2	1	no	—
712	C₂²⋊C₄×C₅₃	—	2	1	no	—
713	C₂²⋊C₄×C₅₃	—	2	1	no	—
714	C₂²⋊C₄×C₅₃	—	2	1	no	—
715	C₂²⋊C₄×C₅₃	—	2	1	no	—
716	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
718	C₄²×C₅₃	—	2	1	no	—
719	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
720	C₂²⋊Dic₅₃	—	2	1	no	—
721	C₂²⋊Dic₅₃	—	2	1	no	—
722	C₂²⋊Dic₅₃	—	2	1	no	—
723	C₂²⋊Dic₅₃	—	2	1	no	—
724	C₂²⋊Dic₅₃	—	2	1	no	—
725	C₂²⋊Dic₅₃	—	2	1	no	—
726	C₂²⋊Dic₅₃	—	2	1	no	—
727	C₂²⋊Dic₅₃	C₂×D₄	1	1	yes	characteristic
728	C₂²⋊Dic₅₃	C₂×D₄	1	1	yes	characteristic
729	#11719925	—	2	2	no	—
730	#11719925	—	2	2	no	—
731	#11719924	—	2	2	no	—
732	#11719924	—	2	2	no	—
733	#11719924	—	4	1	no	—
734	#11719924	C₂×D₄	1	4	yes	complemented
735	#11719923	—	2	2	no	—
736	#11719923	—	2	2	no	—
737	#11719923	—	4	1	no	—
738	#11719923	C₂×D₄	1	4	yes	complemented
739	#11719922	—	2	2	no	—
740	#11719922	—	2	2	no	—
741	#11719922	—	2	2	no	—
742	#11719922	—	2	2	no	—
743	#11719922	—	2	2	no	—
744	#11719922	—	2	2	no	—
745	#11719922	—	4	1	no	—
746	#11719922	—	4	1	no	—
747	#11719921	—	2	1	no	—
748	#11719921	—	2	1	no	—
749	#11719921	—	2	1	no	—
750	#11719921	—	2	1	no	—
751	#11719921	—	2	1	no	—
752	#11719921	—	2	1	no	—
753	#11719921	—	2	1	no	—
754	#11719921	—	2	1	no	—
755	#11719921	—	2	1	no	—
756	#11719921	—	2	1	no	—
757	#11719921	—	2	1	no	—
758	#11719921	—	2	1	no	—
759	#11719921	—	2	1	no	—
760	#11719921	—	2	1	no	—
761	#11719921	C₂×D₄	1	1	yes	characteristic
762	#11719921	C₂×D₄	1	1	yes	characteristic
763	#11719921	C₂×D₄	1	1	yes	characteristic
764	#11719921	C₂×D₄	1	1	yes	characteristic
765	C₄⋊Dic₅₃	—	2	1	no	—
766	C₄⋊Dic₅₃	—	2	1	no	—
767	C₄⋊Dic₅₃	C₂×D₄	1	1	yes	characteristic
768	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
769	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
770	#11719919	—	2	1	no	—
771	#11719919	—	2	1	no	—
772	#11719919	—	2	1	no	—
773	#11719919	—	2	1	no	—
774	#11719919	—	2	1	no	—
775	#11719919	—	2	1	no	—
776	#11719919	C₂×D₄	1	1	yes	characteristic
777	#11719919	C₂×D₄	1	1	yes	characteristic
778	C₄×Dic₅₃	—	2	1	no	—
779	C₄×Dic₅₃	—	2	1	no	—
780	C₄×Dic₅₃	—	2	1	no	—
781	C₄×Dic₅₃	C₂×D₄	1	1	yes	characteristic
782	C₄×Dic₅₃	C₂×D₄	1	1	yes	characteristic
783	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
784	#11719917	—	2	2	no	—
785	C₂×#88322	—	2	2	no	—
786	C₂×#88322	C₂⁴	1	1	yes	characteristic
787	C₂×#88322	C₂⁴	1	1	yes	characteristic
788	C₂×#88322	C₂⁴	1	1	yes	characteristic
789	C₂×#88322	C₂⁴	1	1	yes	characteristic
790	Dic₂₁₂	—	2	2	no	—
791	D₄₂₄	—	2	2	no	—
792	D₄₂₄	—	2	2	no	—
793	D₄₂₄	—	2	2	no	—
794	D₄₂₄	—	4	1	no	—
795	#11719913	—	2	2	no	—
796	#11719913	—	2	2	no	—
797	#11719913	—	4	1	no	—
798	#11719913	C₂×D₄	1	4	yes	complemented
799	#11719912	—	2	2	no	—
800	#11719912	—	2	2	no	—
801	C₈×D₅₃	—	2	2	no	—
802	C₈×D₅₃	—	2	2	no	—
803	C₈×D₅₃	—	2	2	no	—
804	C₈×D₅₃	—	2	2	no	—
805	C₈×D₅₃	—	2	2	no	—
806	C₈×D₅₃	C₂×D₄	1	4	yes	—
807	C₂³×C₅₃	—	2	1	no	—
808	C₂³×C₅₃	—	2	1	no	—
809	C₂³×C₅₃	—	2	1	no	—
810	C₂³×C₅₃	—	2	1	no	—
811	C₂³×C₅₃	—	4	2	no	—
812	C₂³×C₅₃	—	4	2	no	—
813	C₂³×C₅₃	—	8	1	no	—
814	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
815	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
816	C₂²×D₅₃	—	2	1	no	—
817	C₂²×D₅₃	—	2	2	no	—
818	C₂²×D₅₃	—	2	2	no	—
819	C₂²×D₅₃	—	2	4	no	—
820	C₂²×D₅₃	—	2	2	no	—
821	C₂²×D₅₃	—	2	2	no	—
822	C₂²×D₅₃	—	2	2	no	—
823	C₂²×D₅₃	—	2	2	no	—
824	C₂²×D₅₃	—	2	1	no	—
825	C₂²×D₅₃	—	2	1	no	—
826	C₂²×D₅₃	—	2	1	no	—
827	C₂²×D₅₃	—	4	2	no	—
828	C₂²×D₅₃	—	4	2	no	—
829	C₂²×D₅₃	—	4	2	no	—
830	C₂²×D₅₃	—	4	2	no	—
831	C₂²×D₅₃	—	4	2	no	—
832	C₂²×D₅₃	—	4	2	no	—
833	C₂²×D₅₃	—	4	2	no	—
834	C₂²×D₅₃	—	4	2	no	—
835	C₂²×D₅₃	—	4	2	no	—
836	C₂²×D₅₃	—	4	2	no	—
837	C₂²×D₅₃	—	4	2	no	—
838	C₂²×D₅₃	—	4	2	no	—
839	C₂²×D₅₃	—	4	2	no	—
840	C₂²×D₅₃	—	4	2	no	—
841	C₂²×D₅₃	—	4	2	no	—
842	C₂²×D₅₃	—	4	2	no	—
843	C₂²×D₅₃	—	4	2	no	—
844	C₂²×D₅₃	—	8	1	no	—
845	C₂²×D₅₃	—	8	1	no	—
846	C₂²×D₅₃	—	8	1	no	—
847	C₂²×D₅₃	—	8	16	no	—
848	C₂²×D₅₃	C₂²×D₄	1	1	yes	characteristic
849	C₂²×D₅₃	C₂²×D₄	1	1	yes	characteristic
850	C₂²×D₅₃	C₂²×D₄	1	1	yes	characteristic
851	Q₈×C₅₃	—	2	1	no	—
852	Q₈×C₅₃	—	2	1	no	—
853	Q₈×C₅₃	—	2	1	no	—
854	Q₈×C₅₃	C₂²×D₄	1	2	yes	—
855	D₄×C₅₃	—	2	1	no	—
856	D₄×C₅₃	—	2	1	no	—
857	D₄×C₅₃	—	2	1	no	—
858	D₄×C₅₃	—	2	1	no	—
859	D₄×C₅₃	—	2	1	no	—
860	D₄×C₅₃	—	2	1	no	—
861	D₄×C₅₃	—	2	1	no	—
862	D₄×C₅₃	—	4	1	no	—
863	D₄×C₅₃	—	4	2	no	—
864	D₄×C₅₃	—	4	2	no	—
865	D₄×C₅₃	—	4	2	no	—
866	D₄×C₅₃	—	4	2	no	—
867	D₄×C₅₃	—	4	2	no	—
868	D₄×C₅₃	—	8	1	no	—
869	D₄×C₅₃	—	8	1	no	—
870	D₄×C₅₃	—	8	1	no	—
871	D₄×C₅₃	—	8	1	no	—
872	D₄×C₅₃	C₂²×D₄	1	2	yes	—
873	C₂×C₄×C₅₃	—	2	1	no	—
874	C₂×C₄×C₅₃	—	2	1	no	—
875	C₂×C₄×C₅₃	—	2	1	no	—
876	C₂×C₄×C₅₃	—	2	1	no	—
877	C₂×C₄×C₅₃	—	2	1	no	—
878	C₂×C₄×C₅₃	—	2	1	no	—
879	C₂×C₄×C₅₃	—	2	1	no	—
880	C₂×C₄×C₅₃	—	2	1	no	—
881	C₂×C₄×C₅₃	—	4	2	no	—
882	C₂×C₄×C₅₃	—	4	2	no	—
883	C₂×C₄×C₅₃	—	4	2	no	—
884	C₂×C₄×C₅₃	—	8	1	no	—
885	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
886	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
887	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
890	C₂²⋊D₅₃	—	2	4	no	—
891	C₂²⋊D₅₃	—	4	1	no	—
892	C₂²⋊D₅₃	—	4	1	no	—
893	C₂²⋊D₅₃	—	4	2	no	—
894	C₂²⋊D₅₃	—	4	2	no	—
895	C₂²⋊D₅₃	—	4	2	no	—
896	C₂²⋊D₅₃	—	4	2	no	—
897	C₂²⋊D₅₃	—	4	2	no	—
898	C₂²⋊D₅₃	—	4	2	no	—
899	C₂²⋊D₅₃	—	4	2	no	—
900	C₂²⋊D₅₃	—	4	2	no	—
901	C₂²⋊D₅₃	—	4	2	no	—
902	C₂²⋊D₅₃	—	4	2	no	—
903	C₂²⋊D₅₃	—	4	2	no	—
904	C₂²⋊D₅₃	—	4	2	no	—
905	C₂²⋊D₅₃	—	4	2	no	—
906	C₂²⋊D₅₃	—	8	1	no	—
907	C₂²⋊D₅₃	—	8	1	no	—
908	C₂²⋊D₅₃	—	8	1	no	—
909	C₂²⋊D₅₃	—	8	1	no	—
910	C₂²⋊D₅₃	—	8	1	no	—
911	C₂²⋊D₅₃	—	8	1	no	—
912	C₂²⋊D₅₃	—	8	1	no	—
913	C₂²⋊D₅₃	—	8	1	no	—
914	C₂×Dic₅₃	—	2	1	no	—
915	C₂×Dic₅₃	—	2	2	no	—
916	C₂×Dic₅₃	—	2	2	no	—
917	C₂×Dic₅₃	—	2	1	no	—
918	C₂×Dic₅₃	—	2	1	no	—
919	C₂×Dic₅₃	—	2	1	no	—
920	C₂×Dic₅₃	—	4	2	no	—
921	C₂×Dic₅₃	—	4	2	no	—
922	C₂×Dic₅₃	—	4	2	no	—
923	C₂×Dic₅₃	—	8	1	no	—
924	C₂×Dic₅₃	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₅₃	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₅₃	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₅₃	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅₃	C₂²×D₄	1	1	yes	characteristic
929	D₂₁₂	—	2	1	no	—
930	D₂₁₂	—	2	1	no	—
931	D₂₁₂	—	2	1	no	—
932	D₂₁₂	—	2	1	no	—
933	D₂₁₂	—	2	1	no	—
934	D₂₁₂	—	2	1	no	—
935	D₂₁₂	—	2	1	no	—
936	D₂₁₂	—	4	1	no	—
937	D₂₁₂	—	4	2	no	—
938	D₂₁₂	—	4	2	no	—
939	D₂₁₂	—	4	2	no	—
940	D₂₁₂	—	4	2	no	—
941	D₂₁₂	—	4	2	no	—
942	D₂₁₂	—	8	1	no	—
943	D₂₁₂	—	8	1	no	—
944	D₂₁₂	—	8	1	no	—
945	D₂₁₂	—	8	1	no	—
946	D₂₁₂	C₂²×D₄	1	2	yes	—
947	C₄×D₅₃	—	2	2	no	—
948	C₄×D₅₃	—	2	2	no	—
949	C₄×D₅₃	—	2	4	no	—
950	C₄×D₅₃	—	2	2	no	—
951	C₄×D₅₃	—	2	2	no	—
952	C₄×D₅₃	—	2	1	no	—
953	C₄×D₅₃	—	2	1	no	—
954	C₄×D₅₃	—	2	1	no	—
955	C₄×D₅₃	—	2	1	no	—
956	C₄×D₅₃	—	2	2	no	—
957	C₄×D₅₃	—	2	2	no	—
958	C₄×D₅₃	—	4	2	no	—
959	C₄×D₅₃	—	4	2	no	—
960	C₄×D₅₃	—	4	2	no	—
961	C₄×D₅₃	—	4	2	no	—
962	C₄×D₅₃	—	4	2	no	—
963	C₄×D₅₃	—	4	2	no	—
964	C₄×D₅₃	—	4	2	no	—
965	C₄×D₅₃	—	4	2	no	—
966	C₄×D₅₃	—	4	2	no	—
967	C₄×D₅₃	—	8	1	no	—
968	C₄×D₅₃	—	8	1	no	—
969	C₄×D₅₃	C₂²×D₄	1	2	yes	—
970	C₄×D₅₃	H(5,𝔽₂)	1	2	yes	—
971	Dic₁₀₆	—	2	1	no	—
972	Dic₁₀₆	—	2	4	no	—
973	Dic₁₀₆	—	2	1	no	—
974	Dic₁₀₆	—	2	1	no	—
975	Dic₁₀₆	—	4	2	no	—
976	Dic₁₀₆	C₂²×D₄	1	2	yes	—
977	C₈×C₅₃	—	2	1	no	—
978	C₈×C₅₃	—	2	1	no	—
979	C₈×C₅₃	—	2	1	no	—
980	C₈×C₅₃	C₂²×D₄	1	2	yes	—
981	#88322	—	2	1	no	—
982	#88322	—	2	1	no	—
983	#88322	—	2	1	no	—
984	#88322	C₂²×D₄	1	2	yes	—
985	C₂×#3268	—	53	1	no	maximal, Sylow
986	C₂²×C₅₃	—	2	1	no	—
987	C₂²×C₅₃	—	2	1	no	—
988	C₂²×C₅₃	—	2	2	no	—
989	C₂²×C₅₃	—	2	1	no	—
990	C₂²×C₅₃	—	2	1	no	—
991	C₂²×C₅₃	—	2	1	no	—
992	C₂²×C₅₃	—	2	1	no	—
993	C₂²×C₅₃	—	4	1	no	—
994	C₂²×C₅₃	—	4	1	no	—
995	C₂²×C₅₃	—	4	1	no	—
996	C₂²×C₅₃	—	4	1	no	—
997	C₂²×C₅₃	—	4	1	no	—
998	C₂²×C₅₃	—	4	1	no	—
999	C₂²×C₅₃	—	4	1	no	—
1000	C₂²×C₅₃	—	4	1	no	—
1001	C₂²×C₅₃	—	4	1	no	—
1002	C₂²×C₅₃	—	4	1	no	—
1003	C₂²×C₅₃	—	4	1	no	—
1004	C₂²×C₅₃	—	8	4	no	—
1005	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
1006	C₂×D₅₃	—	2	1	no	—
1007	C₂×D₅₃	—	2	1	no	—
1008	C₂×D₅₃	—	2	2	no	—
1009	C₂×D₅₃	—	2	1	no	—
1010	C₂×D₅₃	—	2	1	no	—
1011	C₂×D₅₃	—	2	1	no	—
1012	C₂×D₅₃	—	2	1	no	—
1013	C₂×D₅₃	—	4	1	no	—
1014	C₂×D₅₃	—	4	1	no	—
1015	C₂×D₅₃	—	4	4	no	—
1016	C₂×D₅₃	—	4	4	no	—
1017	C₂×D₅₃	—	4	8	no	—
1018	C₂×D₅₃	—	4	1	no	—
1019	C₂×D₅₃	—	4	1	no	—
1020	C₂×D₅₃	—	4	1	no	—
1021	C₂×D₅₃	—	4	1	no	—
1022	C₂×D₅₃	—	4	1	no	—
1023	C₂×D₅₃	—	4	1	no	—
1024	C₂×D₅₃	—	4	1	no	—
1025	C₂×D₅₃	—	4	1	no	—
1026	C₂×D₅₃	—	4	1	no	—
1027	C₂×D₅₃	—	8	4	no	—
1028	C₂×D₅₃	—	8	4	no	—
1029	C₂×D₅₃	—	8	4	no	—
1030	C₂×D₅₃	—	8	4	no	—
1031	C₂×D₅₃	—	8	4	no	—
1032	C₂×D₅₃	—	8	4	no	—
1033	C₂×D₅₃	D₄²	1	2	yes	—
1034	C₂×D₅₃	#575	1	2	yes	—
1035	C₂×D₅₃	#576	1	2	yes	—
1036	C₄×C₅₃	—	2	2	no	—
1037	C₄×C₅₃	—	2	1	no	—
1038	C₄×C₅₃	—	2	1	no	—
1039	C₄×C₅₃	—	2	1	no	—
1040	C₄×C₅₃	—	2	1	no	—
1041	C₄×C₅₃	—	4	1	no	—
1042	C₄×C₅₃	—	4	1	no	—
1043	C₄×C₅₃	—	4	1	no	—
1044	C₄×C₅₃	C₂³×D₄	1	1	yes	characteristic
1045	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1046	Dic₅₃	—	2	2	no	—
1047	Dic₅₃	—	2	1	no	—
1048	Dic₅₃	—	2	1	no	—
1049	Dic₅₃	—	2	1	no	—
1050	Dic₅₃	—	2	1	no	—
1051	Dic₅₃	—	4	1	no	—
1052	Dic₅₃	—	4	1	no	—
1053	Dic₅₃	—	4	1	no	—
1054	Dic₅₃	D₄²	1	2	yes	—
1055	C₂²×AGL(1,ℤ/8)	—	53	1	no	—
1056	C₂²×#135	—	53	1	no	—
1057	C₂×#550	—	53	1	no	—
1058	C₂×#546	—	53	1	no	—
1059	#3268	—	53	1	no	—
1060	#3268	—	53	1	no	—
1061	#3268	—	53	1	no	—
1062	#3268	—	53	1	no	—
1063	#3268	—	53	1	no	—
1064	#3268	—	53	1	no	—
1065	#3268	—	53	1	no	—
1066	#3268	—	53	1	no	—
1067	#3268	—	53	1	no	—
1068	#3268	—	53	1	no	—
1069	#3268	—	53	1	no	—
1070	#3268	—	53	1	no	—
1071	#3268	—	53	1	no	—
1072	#3268	—	53	1	no	—
1073	#3268	—	53	1	no	—
1074	#3268	D₅₃	1	1	yes	characteristic, direct product factor
1075	C₂×#496	—	53	1	no	—
1076	C₂×#468	—	53	1	no	—
1077	C₂×#466	—	53	1	no	—
1078	C₂×#464	—	53	1	no	—
1079	C₂×#459	—	53	1	no	—
1080	C₂×#452	—	53	1	no	—
1081	C₂×#449	—	53	1	no	—
1082	C₂×#449	—	53	1	no	—
1083	C₂×#447	—	53	1	no	—
1084	C₂×#440	—	53	1	no	—
1085	C₂×#435	—	53	1	no	—
1086	C₂×C₅₃	—	4	1	no	—
1087	C₂×C₅₃	—	4	2	no	—
1088	C₂×C₅₃	—	4	1	no	—
1089	C₂×C₅₃	—	8	1	no	—
1090	C₂×C₅₃	—	8	1	no	—
1091	C₂×C₅₃	—	8	1	no	—
1092	C₂×C₅₃	C₂×D₄²	1	1	yes	characteristic
1093	C₂×C₅₃	C₂×#575	1	1	yes	characteristic
1094	C₂×C₅₃	C₂×#576	1	1	yes	characteristic
1095	D₅₃	—	4	1	no	—
1096	D₅₃	—	4	1	no	—
1097	D₅₃	—	4	2	no	—
1098	D₅₃	—	8	1	no	—
1099	D₅₃	—	8	1	no	—
1100	D₅₃	—	8	1	no	—
1101	D₅₃	#3268	1	4	yes	direct product factor
1102	C₂²×#41	—	53	1	no	—
1103	C₂²×#41	—	53	1	no	—
1104	C₂²×#41	—	53	1	no	—
1105	C₂³×D₄	—	53	1	no	—
1106	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1107	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1108	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1109	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1110	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1111	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1112	C₂×AGL(1,ℤ/8)	—	53	1	no	—
1113	C₂×AGL(1,ℤ/8)	—	106	8	no	—
1114	C₂×AGL(1,ℤ/8)	C₂×D₅₃	1	1	yes	characteristic, complemented
1115	C₂×#135	—	53	1	no	—
1116	C₂×#135	—	53	1	no	—
1117	C₂×#135	—	53	1	no	—
1118	C₂×#135	—	53	1	no	—
1119	C₂×#135	—	53	1	no	—
1120	C₂×#135	—	53	1	no	—
1121	C₂×#135	—	53	1	no	—
1122	C₂×#135	—	106	8	no	—
1123	C₂×#135	C₂×D₅₃	1	1	yes	characteristic, complemented
1124	C₂²×Q₁₆	—	53	1	no	—
1125	C₂²×SD₁₆	—	53	1	no	—
1126	C₂²×SD₁₆	—	53	1	no	—
1127	C₂²×SD₁₆	—	53	1	no	—
1128	C₂²×SD₁₆	—	53	1	no	—
1129	C₂²×D₈	—	53	1	no	—
1130	C₂²×D₈	—	53	1	no	—
1131	C₂²×D₈	—	53	1	no	—
1132	C₂²×D₈	—	53	1	no	—
1133	C₂²×M₁₆	—	53	1	no	—
1134	C₂³×C₈	—	53	1	no	—
1135	#550	—	53	1	no	—
1136	#550	—	53	1	no	—
1137	#550	—	53	1	no	—
1138	#550	—	53	1	no	—
1139	#550	—	53	1	no	—
1140	#550	—	53	1	no	—
1141	#550	—	53	1	no	—
1142	#550	—	106	1	no	—
1143	#550	—	106	1	no	—
1144	#550	—	106	1	no	—
1145	#550	—	106	1	no	—
1146	#550	C₂×D₅₃	1	1	yes	characteristic, complemented
1147	#546	—	53	1	no	—
1148	#546	—	53	1	no	—
1149	#546	—	53	1	no	—
1150	#546	—	53	1	no	—
1151	#546	—	53	1	no	—
1152	#546	—	53	1	no	—
1153	#546	—	53	1	no	—
1154	#546	—	106	1	no	—
1155	#546	—	106	1	no	—
1156	#546	—	106	1	no	—
1157	#546	—	106	1	no	—
1158	#546	C₂×D₅₃	1	1	yes	characteristic, complemented
1159	C₂×#127	—	53	1	no	—
1160	C₂×#127	—	106	1	no	—
1161	C₂×#124	—	53	1	no	—
1162	C₂×#123	—	106	1	no	—
1163	C₂×C₂²⋊Q₈	—	53	1	no	—
1164	C₂×#121	—	53	1	no	—
1165	C₂×#121	—	53	1	no	—
1166	C₂×#121	—	53	1	no	—
1167	C₂×#121	—	106	1	no	—
1168	C₂×#121	—	106	1	no	—
1169	C₂×#121	—	106	1	no	—
1170	C₂×#120	—	106	1	no	—
1171	C₂×C₄×Q₈	—	53	1	no	—
1172	C₂×C₄×D₄	—	53	1	no	—
1173	C₂×C₄×D₄	—	53	1	no	—
1174	C₂×C₄×D₄	—	106	1	no	—
1175	C₂²×C₂²⋊C₄	—	106	1	no	—
1176	#496	—	53	1	no	—
1177	#496	—	53	1	no	—
1178	#496	—	53	1	no	—
1179	#496	—	53	1	no	—
1180	#496	—	53	1	no	—
1181	#496	—	53	1	no	—
1182	#496	—	53	1	no	—
1183	#496	C₂×D₅₃	1	1	yes	characteristic, complemented
1184	#468	—	53	1	no	—
1185	#468	—	53	1	no	—
1186	#468	—	53	1	no	—
1187	#468	—	53	1	no	—
1188	#468	—	53	1	no	—
1189	#468	—	53	1	no	—
1190	#468	—	53	1	no	—
1191	#468	C₂×D₅₃	1	1	yes	characteristic, complemented
1192	#466	—	53	1	no	—
1193	#466	—	53	1	no	—
1194	#466	—	53	1	no	—
1195	#466	—	53	1	no	—
1196	#466	—	53	1	no	—
1197	#466	—	53	1	no	—
1198	#466	—	53	1	no	—
1199	#466	C₂×D₅₃	1	1	yes	characteristic, complemented
1200	#464	—	53	1	no	—
1201	#464	—	53	1	no	—
1202	#464	—	53	1	no	—
1203	#464	—	53	1	no	—
1204	#464	—	53	1	no	—
1205	#464	—	53	1	no	—
1206	#464	—	53	1	no	—
1207	#464	C₂×D₅₃	1	1	yes	characteristic, complemented
1208	#459	—	53	1	no	—
1209	#459	—	53	1	no	—
1210	#459	—	53	1	no	—
1211	#459	—	53	1	no	—
1212	#459	—	53	1	no	—
1213	#459	—	53	1	no	—
1214	#459	—	53	1	no	—
1215	#459	C₂×D₅₃	1	1	yes	characteristic, complemented
1216	#452	—	53	1	no	—
1217	#452	—	53	1	no	—
1218	#452	—	53	1	no	—
1219	#452	—	53	1	no	—
1220	#452	—	53	1	no	—
1221	#452	—	53	1	no	—
1222	#452	—	53	1	no	—
1223	#452	C₂×D₅₃	1	1	yes	characteristic, complemented
1224	#449	—	53	1	no	—
1225	#449	—	53	1	no	—
1226	#449	—	53	1	no	—
1227	#449	—	53	1	no	—
1228	#449	—	53	1	no	—
1229	#449	—	53	1	no	—
1230	#449	—	53	1	no	—
1231	#449	—	53	1	no	—
1232	#449	—	53	1	no	—
1233	#449	—	53	1	no	—
1234	#449	—	53	1	no	—
1235	#449	—	53	1	no	—
1236	#449	—	53	1	no	—
1237	#449	—	53	1	no	—
1238	#449	C₂×D₅₃	1	1	yes	characteristic, complemented
1239	#449	C₂×D₅₃	1	1	yes	characteristic, complemented
1240	#447	—	53	1	no	—
1241	#447	—	53	1	no	—
1242	#447	—	53	1	no	—
1243	#447	—	53	1	no	—
1244	#447	—	53	1	no	—
1245	#447	—	53	1	no	—
1246	#447	—	53	1	no	—
1247	#447	C₂×D₅₃	1	1	yes	characteristic, complemented
1248	#440	—	53	1	no	—
1249	#440	—	53	1	no	—
1250	#440	—	53	1	no	—
1251	#440	—	53	1	no	—
1252	#440	—	53	1	no	—
1253	#440	—	53	1	no	—
1254	#440	—	53	1	no	—
1255	#440	C₂×D₅₃	1	1	yes	characteristic, complemented
1256	#435	—	53	1	no	—
1257	#435	—	53	1	no	—
1258	#435	—	53	1	no	—
1259	#435	—	53	1	no	—
1260	#435	—	53	1	no	—
1261	#435	—	53	1	no	—
1262	#435	—	53	1	no	—
1263	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
1264	C₂×#107	—	53	1	no	—
1265	C₂×C₄⋊C₈	—	53	1	no	—
1266	C₂×#103	—	53	1	no	—
1267	C₂×#103	—	53	1	no	—
1268	C₂×#102	—	53	1	no	—
1269	C₂×#102	—	53	1	no	—
1270	C₂×#102	—	53	1	no	—
1271	C₂×#102	—	53	1	no	—
1272	C₂×C₂²⋊C₈	—	53	1	no	—
1273	C₂×C₂²⋊C₈	—	53	1	no	—
1274	C₂×#97	—	53	1	no	—
1275	C₅₃	C₂×#3268	1	1	yes	characteristic, complemented, Sylow
1276	C₂⁵	—	106	1	no	—
1277	C₂×#41	—	53	1	no	—
1278	C₂×#41	—	53	1	no	—
1279	C₂×#41	—	53	1	no	—
1280	C₂×#41	—	53	1	no	—
1281	C₂×#41	—	53	1	no	—
1282	C₂×#41	—	53	1	no	—
1283	C₂×#41	—	53	1	no	—
1284	C₂×#41	—	53	1	no	—
1285	C₂×#41	—	53	1	no	—
1286	C₂×#41	—	106	1	no	—
1287	C₂×#41	—	106	1	no	—
1288	C₂×#41	—	106	1	no	—
1289	C₂×#41	—	106	1	no	—
1290	C₂×#41	—	106	1	no	—
1291	C₂×#41	—	106	1	no	—
1292	C₂×#41	—	106	4	no	—
1293	C₂×#41	—	106	4	no	—
1294	C₂×#41	—	106	4	no	—
1295	C₂×#41	—	212	2	no	—
1296	C₂×#41	—	212	2	no	—
1297	C₂×#41	—	212	2	no	—
1298	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1299	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1300	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic, complemented
1301	C₂²×Q₈	—	53	1	no	—
1302	C₂²×Q₈	—	53	1	no	—
1303	C₂²×D₄	—	53	1	no	—
1304	C₂²×D₄	—	53	1	no	—
1305	C₂²×D₄	—	53	1	no	—
1306	C₂²×D₄	—	53	1	no	—
1307	C₂²×D₄	—	53	1	no	—
1308	C₂²×D₄	—	53	1	no	—
1309	C₂²×D₄	—	53	1	no	—
1310	C₂²×D₄	—	53	1	no	—
1311	C₂²×D₄	—	106	1	no	—
1312	C₂²×D₄	—	106	1	no	—
1313	C₂²×D₄	—	106	1	no	—
1314	C₂²×D₄	—	106	1	no	—
1315	C₂²×D₄	—	106	1	no	—
1316	C₂²×D₄	—	106	4	no	—
1317	C₂²×D₄	—	106	1	no	—
1318	C₂²×D₄	—	106	1	no	—
1319	C₂²×D₄	—	106	1	no	—
1320	C₂²×D₄	—	106	1	no	—
1321	C₂²×D₄	—	106	1	no	—
1322	C₂²×D₄	—	106	1	no	—
1323	C₂²×D₄	—	212	2	no	—
1324	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1325	C₂³×C₄	—	53	1	no	—
1326	C₂³×C₄	—	53	1	no	—
1327	C₂³×C₄	—	106	1	no	—
1328	C₂³×C₄	—	106	1	no	—
1329	C₂³×C₄	—	106	1	no	—
1330	C₂³×C₄	—	106	1	no	—
1331	AGL(1,ℤ/8)	—	2	4	no	—
1332	AGL(1,ℤ/8)	—	106	4	no	—
1333	AGL(1,ℤ/8)	—	106	4	no	—
1334	AGL(1,ℤ/8)	—	106	4	no	—
1335	AGL(1,ℤ/8)	—	106	4	no	—
1336	AGL(1,ℤ/8)	—	106	4	no	—
1337	AGL(1,ℤ/8)	—	106	4	no	—
1338	AGL(1,ℤ/8)	—	106	4	no	—
1339	#135	—	2	4	no	—
1340	#135	—	106	4	no	—
1341	#135	—	106	4	no	—
1342	#135	—	106	4	no	—
1343	#135	—	106	4	no	—
1344	#135	—	106	4	no	—
1345	#135	—	106	4	no	—
1346	#135	—	106	4	no	—
1347	C₂×Q₁₆	—	53	1	no	—
1348	C₂×Q₁₆	—	53	1	no	—
1349	C₂×Q₁₆	—	53	1	no	—
1350	C₂×Q₁₆	—	106	4	no	—
1351	C₂×Q₁₆	C₂²×D₅₃	1	1	yes	characteristic, complemented
1352	C₂×SD₁₆	—	53	1	no	—
1353	C₂×SD₁₆	—	53	1	no	—
1354	C₂×SD₁₆	—	53	8	no	—
1355	C₂×SD₁₆	—	53	1	no	—
1356	C₂×SD₁₆	—	53	1	no	—
1357	C₂×SD₁₆	—	53	1	no	—
1358	C₂×SD₁₆	—	53	1	no	—
1359	C₂×SD₁₆	—	53	1	no	—
1360	C₂×SD₁₆	—	53	1	no	—
1361	C₂×SD₁₆	—	53	1	no	—
1362	C₂×SD₁₆	—	53	1	no	—
1363	C₂×SD₁₆	—	53	1	no	—
1364	C₂×SD₁₆	—	53	1	no	—
1365	C₂×SD₁₆	—	106	4	no	—
1366	C₂×SD₁₆	—	106	4	no	—
1367	C₂×SD₁₆	—	212	2	no	—
1368	C₂×SD₁₆	C₂²×D₅₃	1	1	yes	characteristic
1369	C₂×SD₁₆	C₂²×D₅₃	1	1	yes	characteristic
1370	C₂×SD₁₆	C₂²×D₅₃	1	1	yes	characteristic, complemented
1371	C₂×SD₁₆	C₂²×D₅₃	1	1	yes	characteristic, complemented
1372	C₂×D₈	—	53	1	no	—
1373	C₂×D₈	—	53	1	no	—
1374	C₂×D₈	—	53	1	no	—
1375	C₂×D₈	—	53	1	no	—
1376	C₂×D₈	—	53	1	no	—
1377	C₂×D₈	—	53	1	no	—
1378	C₂×D₈	—	53	1	no	—
1379	C₂×D₈	—	53	1	no	—
1380	C₂×D₈	—	53	1	no	—
1381	C₂×D₈	—	53	1	no	—
1382	C₂×D₈	—	53	1	no	—
1383	C₂×D₈	—	53	1	no	—
1384	C₂×D₈	—	106	4	no	—
1385	C₂×D₈	—	106	4	no	—
1386	C₂×D₈	—	106	4	no	—
1387	C₂×D₈	—	212	2	no	—
1388	C₂×D₈	C₂²×D₅₃	1	1	yes	characteristic
1389	C₂×D₈	C₂²×D₅₃	1	1	yes	characteristic
1390	C₂×D₈	C₂²×D₅₃	1	1	yes	characteristic
1391	C₂×D₈	C₂²×D₅₃	1	1	yes	characteristic
1392	C₂×M₁₆	—	53	1	no	—
1393	C₂×M₁₆	—	53	1	no	—
1394	C₂×M₁₆	—	53	1	no	—
1395	C₂×M₁₆	—	106	4	no	—
1396	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1397	C₂²×C₈	—	53	1	no	—
1398	C₂²×C₈	—	53	1	no	—
1399	C₂²×C₈	—	53	1	no	—
1400	C₂²×C₈	—	53	1	no	—
1401	C₂²×C₈	—	53	1	no	—
1402	C₂²×C₈	—	53	1	no	—
1403	C₂²×C₈	—	53	1	no	—
1404	C₂²×C₈	—	106	4	no	—
1405	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1406	#127	—	2	1	no	—
1407	#127	—	53	1	no	—
1408	#127	—	53	1	no	—
1409	#127	—	53	1	no	—
1410	#127	—	106	1	no	—
1411	#127	—	106	1	no	—
1412	#127	—	106	1	no	—
1413	#127	—	106	1	no	—
1414	#127	—	106	1	no	—
1415	#127	—	106	1	no	—
1416	#127	—	106	1	no	—
1417	#127	—	106	1	no	—
1418	#127	—	106	1	no	—
1419	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1420	#124	—	53	1	no	—
1421	#124	—	53	1	no	—
1422	#124	—	53	1	no	—
1423	#124	—	106	1	no	—
1424	#124	—	106	1	no	—
1425	#124	C₂²×D₅₃	1	1	yes	characteristic
1426	#123	—	2	1	no	—
1427	#123	—	106	1	no	—
1428	#123	—	106	1	no	—
1429	#123	—	106	1	no	—
1430	#123	—	106	1	no	—
1431	#123	—	106	1	no	—
1432	#123	—	106	1	no	—
1433	#123	—	106	1	no	—
1434	C₂²⋊Q₈	—	53	1	no	—
1435	C₂²⋊Q₈	—	53	1	no	—
1436	C₂²⋊Q₈	—	53	1	no	—
1437	C₂²⋊Q₈	—	106	1	no	—
1438	C₂²⋊Q₈	—	106	1	no	—
1439	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1440	#121	—	2	1	no	—
1441	#121	—	2	1	no	—
1442	#121	—	2	1	no	—
1443	#121	—	53	1	no	—
1444	#121	—	53	1	no	—
1445	#121	—	53	1	no	—
1446	#121	—	53	1	no	—
1447	#121	—	53	1	no	—
1448	#121	—	53	1	no	—
1449	#121	—	53	1	no	—
1450	#121	—	53	1	no	—
1451	#121	—	53	1	no	—
1452	#121	—	106	1	no	—
1453	#121	—	106	1	no	—
1454	#121	—	106	1	no	—
1455	#121	—	106	1	no	—
1456	#121	—	106	1	no	—
1457	#121	—	106	1	no	—
1458	#121	—	106	1	no	—
1459	#121	—	106	1	no	—
1460	#121	—	106	1	no	—
1461	#121	—	106	1	no	—
1462	#121	—	106	1	no	—
1463	#121	—	106	1	no	—
1464	#121	—	106	1	no	—
1465	#121	—	106	1	no	—
1466	#121	—	106	1	no	—
1467	#121	—	106	1	no	—
1468	#121	—	106	1	no	—
1469	#121	—	106	1	no	—
1470	#121	—	106	1	no	—
1471	#121	—	106	1	no	—
1472	#121	—	106	1	no	—
1473	#121	—	106	1	no	—
1474	#121	—	106	1	no	—
1475	#121	—	106	1	no	—
1476	#121	—	106	1	no	—
1477	#121	—	106	1	no	—
1478	#121	—	106	1	no	—
1479	#121	C₂²×D₅₃	1	1	yes	characteristic
1480	#121	C₂²×D₅₃	1	1	yes	characteristic
1481	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1482	#120	—	2	1	no	—
1483	#120	—	106	1	no	—
1484	#120	—	106	1	no	—
1485	#120	—	106	1	no	—
1486	#120	—	106	1	no	—
1487	#120	—	106	1	no	—
1488	#120	—	106	1	no	—
1489	#120	—	106	1	no	—
1490	C₄×Q₈	—	53	1	no	—
1491	C₄×Q₈	—	53	1	no	—
1492	C₄×Q₈	—	53	1	no	—
1493	C₄×Q₈	—	106	1	no	—
1494	C₄×Q₈	—	106	1	no	—
1495	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1496	C₄×D₄	—	2	1	no	—
1497	C₄×D₄	—	53	1	no	—
1498	C₄×D₄	—	53	1	no	—
1499	C₄×D₄	—	53	1	no	—
1500	C₄×D₄	—	53	1	no	—
1501	C₄×D₄	—	53	1	no	—
1502	C₄×D₄	—	53	1	no	—
1503	C₄×D₄	—	53	1	no	—
1504	C₄×D₄	—	53	1	no	—
1505	C₄×D₄	—	53	1	no	—
1506	C₄×D₄	—	53	1	no	—
1507	C₄×D₄	—	106	1	no	—
1508	C₄×D₄	—	106	1	no	—
1509	C₄×D₄	—	106	1	no	—
1510	C₄×D₄	—	106	1	no	—
1511	C₄×D₄	—	106	1	no	—
1512	C₄×D₄	—	106	1	no	—
1513	C₄×D₄	—	106	1	no	—
1514	C₄×D₄	—	106	1	no	—
1515	C₄×D₄	—	106	1	no	—
1516	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1517	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1518	C₂×C₄⋊C₄	—	53	1	no	—
1519	C₂×C₄⋊C₄	—	53	1	no	—
1520	C₂×C₄⋊C₄	—	53	1	no	—
1521	C₂×C₄⋊C₄	—	106	1	no	—
1522	C₂×C₄⋊C₄	—	106	1	no	—
1523	C₂×C₂²⋊C₄	—	2	1	no	—
1524	C₂×C₂²⋊C₄	—	53	1	no	—
1525	C₂×C₂²⋊C₄	—	53	1	no	—
1526	C₂×C₂²⋊C₄	—	106	1	no	—
1527	C₂×C₂²⋊C₄	—	106	1	no	—
1528	C₂×C₂²⋊C₄	—	106	1	no	—
1529	C₂×C₂²⋊C₄	—	106	1	no	—
1530	C₂×C₂²⋊C₄	—	106	1	no	—
1531	C₂×C₂²⋊C₄	—	106	1	no	—
1532	C₂×C₂²⋊C₄	—	106	1	no	—
1533	C₂×C₂²⋊C₄	—	106	1	no	—
1534	C₂×C₂²⋊C₄	—	106	1	no	—
1535	C₂×C₂²⋊C₄	—	106	1	no	—
1536	C₂×C₂²⋊C₄	—	106	1	no	—
1537	C₂×C₂²⋊C₄	—	106	1	no	—
1538	C₂×C₂²⋊C₄	—	106	1	no	—
1539	C₂×C₂²⋊C₄	—	106	1	no	—
1540	C₂×C₄²	—	53	1	no	—
1541	C₂×C₄²	—	106	1	no	—
1542	#107	—	53	1	no	—
1543	#107	—	53	1	no	—
1544	#107	—	53	1	no	—
1545	#107	C₂²×D₅₃	1	1	yes	characteristic, complemented
1546	C₄⋊C₈	—	53	1	no	—
1547	C₄⋊C₈	—	53	1	no	—
1548	C₄⋊C₈	—	53	1	no	—
1549	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1550	#103	—	53	1	no	—
1551	#103	—	53	1	no	—
1552	#103	—	53	1	no	—
1553	#103	—	53	1	no	—
1554	#103	—	53	1	no	—
1555	#103	—	53	1	no	—
1556	#103	C₂²×D₅₃	1	1	yes	characteristic, complemented
1557	#103	C₂²×D₅₃	1	1	yes	characteristic, complemented
1558	#102	—	53	1	no	—
1559	#102	—	53	1	no	—
1560	#102	—	53	1	no	—
1561	#102	—	53	1	no	—
1562	#102	—	53	1	no	—
1563	#102	—	53	1	no	—
1564	#102	—	53	1	no	—
1565	#102	—	53	1	no	—
1566	#102	—	53	1	no	—
1567	#102	—	53	1	no	—
1568	#102	—	53	1	no	—
1569	#102	—	53	1	no	—
1570	#102	C₂²×D₅₃	1	1	yes	characteristic
1571	#102	C₂²×D₅₃	1	1	yes	characteristic
1572	#102	C₂²×D₅₃	1	1	yes	characteristic, complemented
1573	#102	C₂²×D₅₃	1	1	yes	characteristic, complemented
1574	C₂²⋊C₈	—	53	1	no	—
1575	C₂²⋊C₈	—	53	1	no	—
1576	C₂²⋊C₈	—	53	1	no	—
1577	C₂²⋊C₈	—	53	1	no	—
1578	C₂²⋊C₈	—	53	1	no	—
1579	C₂²⋊C₈	—	53	1	no	—
1580	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1581	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1582	#97	—	53	1	no	—
1583	#97	—	53	1	no	—
1584	#97	—	53	1	no	—
1585	#97	C₂²×D₅₃	1	1	yes	characteristic, complemented
1586	C₂⁴	—	2	1	no	—
1587	C₂⁴	—	53	1	no	—
1588	C₂⁴	—	53	1	no	—
1589	C₂⁴	—	106	1	no	—
1590	C₂⁴	—	106	1	no	—
1591	C₂⁴	—	106	1	no	—
1592	C₂⁴	—	106	1	no	—
1593	C₂⁴	—	106	1	no	—
1594	C₂⁴	—	106	1	no	—
1595	C₂⁴	—	106	1	no	—
1596	C₂⁴	—	424	2	no	—
1597	C₂⁴	—	212	4	no	—
1598	C₂⁴	—	212	4	no	—
1599	#41	—	2	2	no	—
1600	#41	—	2	2	no	—
1601	#41	—	2	2	no	—
1602	#41	—	4	1	no	—
1603	#41	—	4	1	no	—
1604	#41	—	4	1	no	—
1605	#41	—	106	2	no	—
1606	#41	—	106	2	no	—
1607	#41	—	106	2	no	—
1608	#41	—	106	2	no	—
1609	#41	—	106	2	no	—
1610	#41	—	106	2	no	—
1611	#41	—	106	2	no	—
1612	#41	—	106	2	no	—
1613	#41	—	106	2	no	—
1614	#41	—	212	1	no	—
1615	#41	—	212	1	no	—
1616	#41	—	212	1	no	—
1617	#41	—	212	4	no	—
1618	#41	—	212	4	no	—
1619	#41	—	212	4	no	—
1620	#41	—	212	1	no	—
1621	#41	—	212	1	no	—
1622	#41	—	212	1	no	—
1623	#41	—	212	4	no	—
1624	#41	—	212	4	no	—
1625	#41	—	212	4	no	—
1626	#41	—	212	1	no	—
1627	#41	—	212	1	no	—
1628	#41	—	212	1	no	—
1629	C₂×Q₈	—	53	4	no	—
1630	C₂×Q₈	—	53	1	no	—
1631	C₂×Q₈	—	53	1	no	—
1632	C₂×Q₈	—	106	1	no	—
1633	C₂×Q₈	—	106	1	no	—
1634	C₂×Q₈	—	106	2	no	—
1635	C₂×Q₈	—	106	2	no	—
1636	C₂×Q₈	—	106	2	no	—
1637	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1638	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1639	C₂×D₄	—	2	2	no	—
1640	C₂×D₄	—	2	1	no	—
1641	C₂×D₄	—	2	1	no	—
1642	C₂×D₄	—	2	1	no	—
1643	C₂×D₄	—	2	1	no	—
1644	C₂×D₄	—	2	1	no	—
1645	C₂×D₄	—	2	1	no	—
1646	C₂×D₄	—	2	1	no	—
1647	C₂×D₄	—	2	1	no	—
1648	C₂×D₄	—	2	1	no	—
1649	C₂×D₄	—	4	1	no	—
1650	C₂×D₄	—	53	4	no	—
1651	C₂×D₄	—	53	1	no	—
1652	C₂×D₄	—	53	1	no	—
1653	C₂×D₄	—	53	1	no	—
1654	C₂×D₄	—	53	1	no	—
1655	C₂×D₄	—	53	1	no	—
1656	C₂×D₄	—	53	1	no	—
1657	C₂×D₄	—	53	1	no	—
1658	C₂×D₄	—	106	2	no	—
1659	C₂×D₄	—	106	1	no	—
1660	C₂×D₄	—	106	1	no	—
1661	C₂×D₄	—	106	1	no	—
1662	C₂×D₄	—	106	1	no	—
1663	C₂×D₄	—	106	1	no	—
1664	C₂×D₄	—	106	1	no	—
1665	C₂×D₄	—	106	2	no	—
1666	C₂×D₄	—	106	2	no	—
1667	C₂×D₄	—	106	2	no	—
1668	C₂×D₄	—	106	2	no	—
1669	C₂×D₄	—	106	2	no	—
1670	C₂×D₄	—	106	2	no	—
1671	C₂×D₄	—	106	2	no	—
1672	C₂×D₄	—	106	1	no	—
1673	C₂×D₄	—	106	1	no	—
1674	C₂×D₄	—	106	1	no	—
1675	C₂×D₄	—	106	1	no	—
1676	C₂×D₄	—	106	1	no	—
1677	C₂×D₄	—	106	1	no	—
1678	C₂×D₄	—	106	1	no	—
1679	C₂×D₄	—	106	1	no	—
1680	C₂×D₄	—	106	1	no	—
1681	C₂×D₄	—	106	1	no	—
1682	C₂×D₄	—	106	2	no	—
1683	C₂×D₄	—	106	2	no	—
1684	C₂×D₄	—	106	1	no	—
1685	C₂×D₄	—	106	1	no	—
1686	C₂×D₄	—	106	1	no	—
1687	C₂×D₄	—	106	1	no	—
1688	C₂×D₄	—	106	1	no	—
1689	C₂×D₄	—	106	1	no	—
1690	C₂×D₄	—	106	1	no	—
1691	C₂×D₄	—	106	1	no	—
1692	C₂×D₄	—	106	1	no	—
1693	C₂×D₄	—	106	1	no	—
1694	C₂×D₄	—	106	1	no	—
1695	C₂×D₄	—	106	1	no	—
1696	C₂×D₄	—	106	1	no	—
1697	C₂×D₄	—	106	1	no	—
1698	C₂×D₄	—	106	1	no	—
1699	C₂×D₄	—	424	2	no	—
1700	C₂×D₄	—	424	2	no	—
1701	C₂×D₄	—	424	2	no	—
1702	C₂×D₄	—	424	2	no	—
1703	C₂×D₄	—	212	1	no	—
1704	C₂×D₄	—	212	1	no	—
1705	C₂×D₄	—	212	1	no	—
1706	C₂×D₄	—	212	4	no	—
1707	C₂×D₄	—	212	2	no	—
1708	C₂×D₄	—	212	4	no	—
1709	C₂×D₄	—	212	4	no	—
1710	C₂×D₄	—	212	4	no	—
1711	C₂×D₄	—	212	4	no	—
1712	C₂×D₄	—	212	4	no	—
1713	C₂×D₄	—	212	4	no	—
1714	C₂×D₄	D₄×D₅₃	1	1	yes	characteristic
1715	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1716	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1717	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1718	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1719	C₂²×C₄	—	2	1	no	—
1720	C₂²×C₄	—	2	1	no	—
1721	C₂²×C₄	—	2	1	no	—
1722	C₂²×C₄	—	2	1	no	—
1723	C₂²×C₄	—	53	1	no	—
1724	C₂²×C₄	—	53	1	no	—
1725	C₂²×C₄	—	53	1	no	—
1726	C₂²×C₄	—	53	1	no	—
1727	C₂²×C₄	—	53	1	no	—
1728	C₂²×C₄	—	53	1	no	—
1729	C₂²×C₄	—	53	1	no	—
1730	C₂²×C₄	—	53	1	no	—
1731	C₂²×C₄	—	53	1	no	—
1732	C₂²×C₄	—	53	1	no	—
1733	C₂²×C₄	—	53	1	no	—
1734	C₂²×C₄	—	106	2	no	—
1735	C₂²×C₄	—	106	2	no	—
1736	C₂²×C₄	—	106	2	no	—
1737	C₂²×C₄	—	106	2	no	—
1738	C₂²×C₄	—	106	1	no	—
1739	C₂²×C₄	—	106	1	no	—
1740	C₂²×C₄	—	106	1	no	—
1741	C₂²×C₄	—	106	1	no	—
1742	C₂²×C₄	—	106	1	no	—
1743	C₂²×C₄	—	106	1	no	—
1744	C₂²×C₄	—	106	1	no	—
1745	C₂²×C₄	—	106	1	no	—
1746	C₂²×C₄	—	106	1	no	—
1747	C₂²×C₄	—	106	1	no	—
1748	C₂²×C₄	—	106	1	no	—
1749	C₂²×C₄	—	106	1	no	—
1750	C₂²×C₄	—	106	1	no	—
1751	C₂²×C₄	—	106	1	no	—
1752	C₂²×C₄	—	106	1	no	—
1753	C₂²×C₄	—	106	1	no	—
1754	C₂²×C₄	—	424	2	no	—
1755	C₂²×C₄	—	212	4	no	—
1756	C₂²×C₄	—	212	4	no	—
1757	C₂²×C₄	—	212	4	no	—
1758	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1759	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1760	Q₁₆	—	2	2	no	—
1761	Q₁₆	—	106	2	no	—
1762	Q₁₆	—	106	2	no	—
1763	Q₁₆	—	106	2	no	—
1764	SD₁₆	—	2	2	no	—
1765	SD₁₆	—	2	2	no	—
1766	SD₁₆	—	4	1	no	—
1767	SD₁₆	—	53	4	no	—
1768	SD₁₆	—	53	4	no	—
1769	SD₁₆	—	53	4	no	—
1770	SD₁₆	—	106	2	no	—
1771	SD₁₆	—	106	2	no	—
1772	SD₁₆	—	106	2	no	—
1773	SD₁₆	—	106	2	no	—
1774	SD₁₆	—	106	2	no	—
1775	SD₁₆	—	106	2	no	—
1776	SD₁₆	—	212	1	no	—
1777	SD₁₆	—	212	1	no	—
1778	SD₁₆	—	212	1	no	—
1779	SD₁₆	D₄×D₅₃	1	4	yes	complemented
1780	D₈	—	2	2	no	—
1781	D₈	—	2	2	no	—
1782	D₈	—	2	2	no	—
1783	D₈	—	4	1	no	—
1784	D₈	—	106	2	no	—
1785	D₈	—	106	2	no	—
1786	D₈	—	106	2	no	—
1787	D₈	—	106	2	no	—
1788	D₈	—	106	2	no	—
1789	D₈	—	106	2	no	—
1790	D₈	—	106	2	no	—
1791	D₈	—	106	2	no	—
1792	D₈	—	106	2	no	—
1793	D₈	—	212	1	no	—
1794	D₈	—	212	1	no	—
1795	D₈	—	212	1	no	—
1796	M₁₆	—	2	2	no	—
1797	M₁₆	—	106	2	no	—
1798	M₁₆	—	106	2	no	—
1799	M₁₆	—	106	2	no	—
1800	C₂×C₈	—	2	2	no	—
1801	C₂×C₈	—	53	1	no	—
1802	C₂×C₈	—	53	4	no	—
1803	C₂×C₈	—	53	1	no	—
1804	C₂×C₈	—	53	1	no	—
1805	C₂×C₈	—	53	1	no	—
1806	C₂×C₈	—	106	2	no	—
1807	C₂×C₈	—	106	2	no	—
1808	C₂×C₈	—	106	2	no	—
1809	C₂×C₈	—	106	2	no	—
1810	C₂×C₈	—	106	2	no	—
1811	C₂×C₈	—	106	2	no	—
1812	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1813	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1814	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1815	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1816	C₄⋊C₄	—	2	1	no	—
1817	C₄⋊C₄	—	2	1	no	—
1818	C₄⋊C₄	—	53	1	no	—
1819	C₄⋊C₄	—	53	1	no	—
1820	C₄⋊C₄	—	53	1	no	—
1821	C₄⋊C₄	—	53	1	no	—
1822	C₄⋊C₄	—	53	1	no	—
1823	C₄⋊C₄	—	106	1	no	—
1824	C₄⋊C₄	—	106	1	no	—
1825	C₄⋊C₄	—	106	1	no	—
1826	C₄⋊C₄	—	106	1	no	—
1827	C₄⋊C₄	—	106	1	no	—
1828	C₄⋊C₄	—	106	1	no	—
1829	C₄⋊C₄	—	106	1	no	—
1830	C₄⋊C₄	—	106	1	no	—
1831	C₄⋊C₄	D₄×D₅₃	1	1	yes	characteristic
1832	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1833	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1834	C₂²⋊C₄	—	2	1	no	—
1835	C₂²⋊C₄	—	2	1	no	—
1836	C₂²⋊C₄	—	2	1	no	—
1837	C₂²⋊C₄	—	2	1	no	—
1838	C₂²⋊C₄	—	2	1	no	—
1839	C₂²⋊C₄	—	2	1	no	—
1840	C₂²⋊C₄	—	2	1	no	—
1841	C₂²⋊C₄	—	53	1	no	—
1842	C₂²⋊C₄	—	53	1	no	—
1843	C₂²⋊C₄	—	53	1	no	—
1844	C₂²⋊C₄	—	53	1	no	—
1845	C₂²⋊C₄	—	53	1	no	—
1846	C₂²⋊C₄	—	53	1	no	—
1847	C₂²⋊C₄	—	106	1	no	—
1848	C₂²⋊C₄	—	106	1	no	—
1849	C₂²⋊C₄	—	106	1	no	—
1850	C₂²⋊C₄	—	106	1	no	—
1851	C₂²⋊C₄	—	106	1	no	—
1852	C₂²⋊C₄	—	106	1	no	—
1853	C₂²⋊C₄	—	106	1	no	—
1854	C₂²⋊C₄	—	106	1	no	—
1855	C₂²⋊C₄	—	106	1	no	—
1856	C₂²⋊C₄	—	106	1	no	—
1857	C₂²⋊C₄	—	106	1	no	—
1858	C₂²⋊C₄	—	106	1	no	—
1859	C₂²⋊C₄	—	106	1	no	—
1860	C₂²⋊C₄	—	106	1	no	—
1861	C₂²⋊C₄	—	106	1	no	—
1862	C₂²⋊C₄	—	106	1	no	—
1863	C₂²⋊C₄	—	106	1	no	—
1864	C₂²⋊C₄	—	106	1	no	—
1865	C₂²⋊C₄	—	106	1	no	—
1866	C₂²⋊C₄	—	106	1	no	—
1867	C₂²⋊C₄	—	106	1	no	—
1868	C₂²⋊C₄	D₄×D₅₃	1	1	yes	characteristic
1869	C₂²⋊C₄	D₄×D₅₃	1	1	yes	characteristic
1870	C₄²	—	2	1	no	—
1871	C₄²	—	53	1	no	—
1872	C₄²	—	53	1	no	—
1873	C₄²	—	53	1	no	—
1874	C₄²	—	106	1	no	—
1875	C₄²	—	106	1	no	—
1876	C₄²	—	106	1	no	—
1877	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1878	C₂³	—	2	1	no	—
1879	C₂³	—	2	1	no	—
1880	C₂³	—	2	1	no	—
1881	C₂³	—	2	1	no	—
1882	C₂³	—	4	2	no	—
1883	C₂³	—	4	2	no	—
1884	C₂³	—	8	1	no	—
1885	C₂³	—	53	1	no	—
1886	C₂³	—	53	1	no	—
1887	C₂³	—	53	1	no	—
1888	C₂³	—	106	2	no	—
1889	C₂³	—	106	2	no	—
1890	C₂³	—	106	4	no	—
1891	C₂³	—	106	2	no	—
1892	C₂³	—	106	2	no	—
1893	C₂³	—	106	2	no	—
1894	C₂³	—	106	2	no	—
1895	C₂³	—	106	1	no	—
1896	C₂³	—	106	1	no	—
1897	C₂³	—	106	1	no	—
1898	C₂³	—	106	1	no	—
1899	C₂³	—	424	1	no	—
1900	C₂³	—	424	1	no	—
1901	C₂³	—	424	1	no	—
1902	C₂³	—	424	16	no	—
1903	C₂³	—	212	2	no	—
1904	C₂³	—	212	2	no	—
1905	C₂³	—	212	2	no	—
1906	C₂³	—	212	2	no	—
1907	C₂³	—	212	2	no	—
1908	C₂³	—	212	2	no	—
1909	C₂³	—	212	2	no	—
1910	C₂³	—	212	2	no	—
1911	C₂³	—	212	2	no	—
1912	C₂³	—	212	2	no	—
1913	C₂³	—	212	2	no	—
1914	C₂³	—	212	2	no	—
1915	C₂³	—	212	2	no	—
1916	C₂³	—	212	2	no	—
1917	C₂³	—	212	2	no	—
1918	C₂³	—	212	2	no	—
1919	C₂³	—	212	2	no	—
1920	C₂³	C₂×D₄×D₅₃	1	1	yes	characteristic
1921	C₂³	C₂×D₄×D₅₃	1	1	yes	characteristic
1922	Q₈	—	2	1	no	—
1923	Q₈	—	2	1	no	—
1924	Q₈	—	2	1	no	—
1925	Q₈	—	53	2	no	—
1926	Q₈	—	106	4	no	—
1927	Q₈	—	106	1	no	—
1928	Q₈	—	106	1	no	—
1929	Q₈	—	106	1	no	—
1930	Q₈	—	212	2	no	—
1931	Q₈	C₂×D₄×D₅₃	1	2	yes	—
1932	D₄	—	2	1	no	—
1933	D₄	—	2	1	no	—
1934	D₄	—	2	1	no	—
1935	D₄	—	2	1	no	—
1936	D₄	—	2	1	no	—
1937	D₄	—	2	1	no	—
1938	D₄	—	2	1	no	—
1939	D₄	—	4	1	no	—
1940	D₄	—	4	2	no	—
1941	D₄	—	4	2	no	—
1942	D₄	—	4	2	no	—
1943	D₄	—	4	2	no	—
1944	D₄	—	4	2	no	—
1945	D₄	—	8	1	no	—
1946	D₄	—	8	1	no	—
1947	D₄	—	8	1	no	—
1948	D₄	—	8	1	no	—
1949	D₄	—	53	2	no	—
1950	D₄	—	106	4	no	—
1951	D₄	—	106	1	no	—
1952	D₄	—	106	1	no	—
1953	D₄	—	106	1	no	—
1954	D₄	—	106	1	no	—
1955	D₄	—	106	1	no	—
1956	D₄	—	106	1	no	—
1957	D₄	—	106	1	no	—
1958	D₄	—	424	1	no	—
1959	D₄	—	424	1	no	—
1960	D₄	—	424	1	no	—
1961	D₄	—	424	1	no	—
1962	D₄	—	424	1	no	—
1963	D₄	—	424	1	no	—
1964	D₄	—	424	1	no	—
1965	D₄	—	424	1	no	—
1966	D₄	—	424	1	no	—
1967	D₄	—	424	1	no	—
1968	D₄	—	424	1	no	—
1969	D₄	—	424	1	no	—
1970	D₄	—	212	1	no	—
1971	D₄	—	212	2	no	—
1972	D₄	—	212	2	no	—
1973	D₄	—	212	2	no	—
1974	D₄	—	212	2	no	—
1975	D₄	—	212	2	no	—
1976	D₄	—	212	2	no	—
1977	D₄	—	212	2	no	—
1978	D₄	—	212	2	no	—
1979	D₄	—	212	1	no	—
1980	D₄	—	212	1	no	—
1981	D₄	—	212	2	no	—
1982	D₄	—	212	2	no	—
1983	D₄	—	212	2	no	—
1984	D₄	—	212	2	no	—
1985	D₄	—	212	2	no	—
1986	D₄	—	212	2	no	—
1987	D₄	—	212	2	no	—
1988	D₄	—	212	2	no	—
1989	D₄	—	212	2	no	—
1990	D₄	—	212	2	no	—
1991	D₄	C₂×D₄×D₅₃	1	2	yes	—
1992	C₂×C₄	—	2	1	no	—
1993	C₂×C₄	—	2	1	no	—
1994	C₂×C₄	—	2	1	no	—
1995	C₂×C₄	—	2	1	no	—
1996	C₂×C₄	—	2	1	no	—
1997	C₂×C₄	—	2	1	no	—
1998	C₂×C₄	—	2	1	no	—
1999	C₂×C₄	—	2	1	no	—
2000	C₂×C₄	—	4	2	no	—
2001	C₂×C₄	—	4	2	no	—
2002	C₂×C₄	—	4	2	no	—
2003	C₂×C₄	—	8	1	no	—
2004	C₂×C₄	—	53	1	no	—
2005	C₂×C₄	—	53	2	no	—
2006	C₂×C₄	—	53	2	no	—
2007	C₂×C₄	—	53	1	no	—
2008	C₂×C₄	—	53	1	no	—
2009	C₂×C₄	—	53	1	no	—
2010	C₂×C₄	—	53	1	no	—
2011	C₂×C₄	—	106	2	no	—
2012	C₂×C₄	—	106	2	no	—
2013	C₂×C₄	—	106	2	no	—
2014	C₂×C₄	—	106	2	no	—
2015	C₂×C₄	—	106	2	no	—
2016	C₂×C₄	—	106	2	no	—
2017	C₂×C₄	—	106	4	no	—
2018	C₂×C₄	—	106	2	no	—
2019	C₂×C₄	—	106	2	no	—
2020	C₂×C₄	—	106	1	no	—
2021	C₂×C₄	—	106	1	no	—
2022	C₂×C₄	—	106	1	no	—
2023	C₂×C₄	—	106	1	no	—
2024	C₂×C₄	—	106	1	no	—
2025	C₂×C₄	—	106	1	no	—
2026	C₂×C₄	—	106	1	no	—
2027	C₂×C₄	—	106	1	no	—
2028	C₂×C₄	—	424	1	no	—
2029	C₂×C₄	—	424	1	no	—
2030	C₂×C₄	—	424	1	no	—
2031	C₂×C₄	—	212	2	no	—
2032	C₂×C₄	—	212	2	no	—
2033	C₂×C₄	—	212	2	no	—
2034	C₂×C₄	—	212	2	no	—
2035	C₂×C₄	—	212	2	no	—
2036	C₂×C₄	—	212	2	no	—
2037	C₂×C₄	—	212	2	no	—
2038	C₂×C₄	—	212	2	no	—
2039	C₂×C₄	—	212	2	no	—
2040	C₂×C₄	—	212	2	no	—
2041	C₂×C₄	—	212	2	no	—
2042	C₂×C₄	—	212	2	no	—
2043	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
2044	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
2045	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
2046	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
2047	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2048	C₈	—	2	1	no	—
2049	C₈	—	2	1	no	—
2050	C₈	—	2	1	no	—
2051	C₈	—	53	2	no	—
2052	C₈	—	106	1	no	—
2053	C₈	—	106	1	no	—
2054	C₈	—	106	1	no	—
2055	C₈	C₂×D₄×D₅₃	1	2	yes	—
2056	C₂²	—	2	1	no	—
2057	C₂²	—	2	1	no	—
2058	C₂²	—	2	2	no	—
2059	C₂²	—	2	1	no	—
2060	C₂²	—	2	1	no	—
2061	C₂²	—	2	1	no	—
2062	C₂²	—	2	1	no	—
2063	C₂²	—	4	1	no	—
2064	C₂²	—	4	1	no	—
2065	C₂²	—	4	1	no	—
2066	C₂²	—	4	1	no	—
2067	C₂²	—	4	1	no	—
2068	C₂²	—	4	1	no	—
2069	C₂²	—	4	1	no	—
2070	C₂²	—	4	1	no	—
2071	C₂²	—	4	1	no	—
2072	C₂²	—	4	1	no	—
2073	C₂²	—	4	1	no	—
2074	C₂²	—	8	4	no	—
2075	C₂²	—	53	2	no	—
2076	C₂²	—	53	2	no	—
2077	C₂²	—	53	2	no	—
2078	C₂²	—	106	1	no	—
2079	C₂²	—	106	1	no	—
2080	C₂²	—	106	2	no	—
2081	C₂²	—	106	1	no	—
2082	C₂²	—	106	1	no	—
2083	C₂²	—	106	1	no	—
2084	C₂²	—	106	1	no	—
2085	C₂²	—	424	4	no	—
2086	C₂²	—	424	4	no	—
2087	C₂²	—	424	4	no	—
2088	C₂²	—	424	4	no	—
2089	C₂²	—	424	4	no	—
2090	C₂²	—	424	4	no	—
2091	C₂²	—	212	4	no	—
2092	C₂²	—	212	4	no	—
2093	C₂²	—	212	8	no	—
2094	C₂²	—	212	1	no	—
2095	C₂²	—	212	1	no	—
2096	C₂²	—	212	1	no	—
2097	C₂²	—	212	1	no	—
2098	C₂²	—	212	1	no	—
2099	C₂²	—	212	1	no	—
2100	C₂²	—	212	1	no	—
2101	C₂²	—	212	1	no	—
2102	C₂²	—	212	1	no	—
2103	C₂²	—	212	1	no	—
2104	C₂²	—	212	1	no	—
2105	C₂²	C₂²×D₄×D₅₃	1	1	yes	characteristic
2106	C₄	—	2	1	no	—
2107	C₄	—	2	1	no	—
2108	C₄	—	2	2	no	—
2109	C₄	—	2	1	no	—
2110	C₄	—	2	1	no	—
2111	C₄	—	4	1	no	—
2112	C₄	—	4	1	no	—
2113	C₄	—	4	1	no	—
2114	C₄	—	53	2	no	—
2115	C₄	—	106	1	no	—
2116	C₄	—	106	1	no	—
2117	C₄	—	106	2	no	—
2118	C₄	—	106	1	no	—
2119	C₄	—	106	1	no	—
2120	C₄	—	212	1	no	—
2121	C₄	—	212	1	no	—
2122	C₄	—	212	1	no	—
2123	C₄	C₂²×D₄×D₅₃	1	1	yes	characteristic
2124	C₄	H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2125	C₂	—	4	1	no	—
2126	C₂	—	4	1	no	—
2127	C₂	—	4	2	no	—
2128	C₂	—	8	1	no	—
2129	C₂	—	8	1	no	—
2130	C₂	—	8	1	no	—
2131	C₂	—	53	4	no	—
2132	C₂	—	424	1	no	—
2133	C₂	—	424	1	no	—
2134	C₂	—	424	1	no	—
2135	C₂	—	212	1	no	—
2136	C₂	—	212	1	no	—
2137	C₂	—	212	2	no	—
2138	C₂	D₄²×D₅₃	1	1	yes	characteristic
2139	C₂	#575×D₅₃	1	1	yes	characteristic
2140	C₂	#576×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅₃
commutator, cosocle	C₂×C₄×C₅₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅₃
Fitting	C₅₃×#3268	C₂
socle	C₂²×C₅₃	C₂³×D₄
hypercenter	#3268	D₅₃
hypocenter	C₅₃	C₂×#3268
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3268

Complements

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

N	H ≅ G/N	type
1. C₂×AGL(1,ℤ/8)×D₅₃	C₂	semidirect
2. C₂×#135×D₅₃	C₂	semidirect
3. #550×D₅₃	C₂	semidirect
4. #546×D₅₃	C₂	semidirect
5. #20286262	C₂	semidirect
6. #20286261	C₂	semidirect
7. #20286260	C₂	semidirect
8. #20286259	C₂	semidirect
9. #20286258	C₂	semidirect
10. #20286257	C₂	semidirect
11. #20286256	C₂	semidirect
12. #20286255	C₂	semidirect
13. #20286254	C₂	semidirect
14. #20286253	C₂	semidirect
15. #20286252	C₂	semidirect
16. #20286251	C₂	semidirect
17. #20286250	C₂	semidirect
18. #20286249	C₂	semidirect
19. #20286248	C₂	semidirect
20. #496×D₅₃	C₂	semidirect
21. #468×D₅₃	C₂	semidirect
22. #466×D₅₃	C₂	semidirect
23. #464×D₅₃	C₂	semidirect
24. #459×D₅₃	C₂	semidirect
25. #452×D₅₃	C₂	semidirect
26. #449×D₅₃	C₂	semidirect
27. #449×D₅₃	C₂	semidirect
28. #447×D₅₃	C₂	semidirect
29. #440×D₅₃	C₂	semidirect
30. #435×D₅₃	C₂	semidirect
31. C₅₃×#3268	C₂	semidirect
34. C₂×#41×D₅₃	C₂²	semidirect
36. C₂×#13133245	C₂²	semidirect
37. C₂×#13133244	C₂²	semidirect
38. C₂×#13133244	C₂²	semidirect
39. C₂×#13133243	C₂²	semidirect
40. C₂×#13133242	C₂²	semidirect
41. C₂×#13133241	C₂²	semidirect
42. C₂×#13133241	C₂²	semidirect
44. C₂×#13133240	C₂²	semidirect
45. C₂×#13133239	C₂²	semidirect
46. C₂×#13133238	C₂²	semidirect
47. C₂×#13133238	C₂²	semidirect
48. C₂×#13133237	C₂²	semidirect
49. C₂×#13133237	C₂²	semidirect
50. C₂×#13133236	C₂²	semidirect
52. C₂×Q₁₆×D₅₃	C₂²	semidirect
55. C₂×SD₁₆×D₅₃	C₂²	semidirect
56. C₂×SD₁₆×D₅₃	C₂²	semidirect
62. C₂²×C₈×D₅₃	C₂²	semidirect
63. #16811295	C₂²	semidirect
65. #16811294	C₂²	semidirect
67. #16811293	C₂²	semidirect
68. #16811292	C₂²	semidirect
69. #16811292	C₂²	semidirect
72. #16811291	C₂²	semidirect
73. #16811291	C₂²	semidirect
74. #16811270	C₂²	semidirect
75. #16811269	C₂²	semidirect
76. #16811268	C₂²	semidirect
77. #16811267	C₂²	semidirect
78. #16811266	C₂²	semidirect
80. #16811264	C₂²	semidirect
83. #16811261	C₂²	semidirect
86. #127×D₅₃	C₂²	semidirect
95. #121×D₅₃	C₂²	semidirect
97. C₄×Q₈×D₅₃	C₂²	semidirect
102. #16811013	C₂²	semidirect
103. #16811012	C₂²	semidirect
104. #16811011	C₂²	semidirect
105. #16811011	C₂²	semidirect
106. #16811010	C₂²	semidirect
107. #16811009	C₂²	semidirect
108. #16811009	C₂²	semidirect
109. #16810872	C₂²	semidirect
110. #16810871	C₂²	semidirect
111. #16810870	C₂²	semidirect
112. #16810869	C₂²	semidirect
113. #16810868	C₂²	semidirect
114. #16810867	C₂²	semidirect
115. #16810866	C₂²	semidirect
116. #16810860	C₂²	semidirect
117. #16810859	C₂²	semidirect
118. #16810858	C₂²	semidirect
119. #16810858	C₂²	semidirect
120. #16810857	C₂²	semidirect
121. #16810857	C₂²	semidirect
122. #16810856	C₂²	semidirect
123. #16810848	C₂²	semidirect
124. #16810847	C₂²	semidirect
125. #16810846	C₂²	semidirect
126. #16810845	C₂²	semidirect
127. #16810844	C₂²	semidirect
128. #16810843	C₂²	semidirect
129. #16810842	C₂²	semidirect
130. #16810819	C₂²	semidirect
131. #16810818	C₂²	semidirect
132. #16810817	C₂²	semidirect
133. #16810817	C₂²	semidirect
134. #16810816	C₂²	semidirect
135. #16810816	C₂²	semidirect
136. #16810815	C₂²	semidirect
137. #16810788	C₂²	semidirect
138. #16810787	C₂²	semidirect
139. #16810786	C₂²	semidirect
140. #16810785	C₂²	semidirect
141. #16810784	C₂²	semidirect
142. #16810783	C₂²	semidirect
143. #16810782	C₂²	semidirect
144. #16810771	C₂²	semidirect
145. #16810771	C₂²	semidirect
146. #16810770	C₂²	semidirect
147. #16810770	C₂²	semidirect
148. #16810769	C₂²	semidirect
149. #16810769	C₂²	semidirect
150. #16810768	C₂²	semidirect
151. #16810768	C₂²	semidirect
152. #16810767	C₂²	semidirect
153. #16810767	C₂²	semidirect
154. #16810766	C₂²	semidirect
155. #16810766	C₂²	semidirect
156. #16810765	C₂²	semidirect
157. #16810765	C₂²	semidirect
158. #16810759	C₂²	semidirect
159. #16810758	C₂²	semidirect
160. #16810758	C₂²	semidirect
161. #16810757	C₂²	semidirect
162. #16810756	C₂²	semidirect
163. #16810755	C₂²	semidirect
164. #16810755	C₂²	semidirect
165. #16810726	C₂²	semidirect
166. #16810725	C₂²	semidirect
167. #16810724	C₂²	semidirect
168. #16810723	C₂²	semidirect
169. #16810722	C₂²	semidirect
170. #16810721	C₂²	semidirect
171. #16810720	C₂²	semidirect
172. #16810697	C₂²	semidirect
173. #16810696	C₂²	semidirect
174. #16810695	C₂²	semidirect
175. #16810694	C₂²	semidirect
176. #16810693	C₂²	semidirect
177. #16810692	C₂²	semidirect
178. #16810691	C₂²	semidirect
179. #107×D₅₃	C₂²	semidirect
180. C₄⋊C₈×D₅₃	C₂²	semidirect
181. #103×D₅₃	C₂²	semidirect
182. #103×D₅₃	C₂²	semidirect
185. #102×D₅₃	C₂²	semidirect
186. #102×D₅₃	C₂²	semidirect
188. C₂²⋊C₈×D₅₃	C₂²	semidirect
189. #97×D₅₃	C₂²	semidirect
190. C₂×AGL(1,ℤ/8)×C₅₃	C₂²	semidirect
191. C₂×#135×C₅₃	C₂²	semidirect
192. C₅₃×#550	C₂²	semidirect
193. C₅₃×#546	C₂²	semidirect
194. C₅₃×#496	C₂²	semidirect
195. C₅₃×#468	C₂²	semidirect
196. C₅₃×#466	C₂²	semidirect
197. C₅₃×#464	C₂²	semidirect
198. C₅₃×#459	C₂²	semidirect
199. C₅₃×#452	C₂²	semidirect
200. C₅₃×#449	C₂²	semidirect
201. C₅₃×#449	C₂²	semidirect
202. C₅₃×#447	C₂²	semidirect
203. C₅₃×#440	C₂²	semidirect
204. C₅₃×#435	C₂²	semidirect
208. C₂×#11719949	C₂³	semidirect
214. C₂×#11719945	C₂³	semidirect
220. C₂×#11719947	C₂³	semidirect
270. C₂×Dic₂₁₂	C₂³	semidirect
271. C₂×#11719925	C₂³	semidirect
272. C₂×#11719925	C₂³	semidirect
276. C₂×#11719913	C₂³	semidirect
277. C₂×#11719913	C₂³	semidirect
280. C₂×#11719923	C₂³	semidirect
281. C₂×#11719923	C₂³	semidirect
284. C₂×#11719924	C₂³	semidirect
285. C₂×#11719924	C₂³	semidirect
289. SD₁₆×D₅₃	D₄	semidirect
310. C₂²×#88322	C₂³	semidirect
316. C₂×C₈×D₅₃	C₂³	semidirect
317. C₂×C₈×D₅₃	C₂³	semidirect
319. #13133214	C₂³	semidirect
328. #13133213	C₂³	semidirect
329. #13133213	C₂³	semidirect
352. #13133192	C₂³	semidirect
358. #13133191	C₂³	semidirect
382. #13133188	C₂³	semidirect
390. Q₈×Dic₅₃	C₂³	semidirect
392. C₄×Dic₁₀₆	C₂³	semidirect
394. #13133182	C₂³	semidirect
437. #13133151	C₂³	semidirect
438. #13133150	C₂³	semidirect
439. #13133150	C₂³	semidirect
440. C₄⋊#88322	C₂³	semidirect
441. #13133146	C₂³	semidirect
442. #13133146	C₂³	semidirect
443. #13133142	C₂³	semidirect
444. #13133142	C₂³	semidirect
445. #13133141	C₂³	semidirect
446. #13133141	C₂³	semidirect
447. #13133140	C₂³	semidirect
448. #13133140	C₂³	semidirect
451. #13133139	C₂³	semidirect
452. #13133139	C₂³	semidirect
455. #13133138	C₂³	semidirect
456. #13133138	C₂³	semidirect
459. #13133137	C₂³	semidirect
460. #13133137	C₂³	semidirect
462. C₂²⋊#88322	C₂³	semidirect
465. #13133129	C₂³	semidirect
466. #13133129	C₂³	semidirect
467. #13133128	C₂³	semidirect
468. #13133127	C₂³	semidirect
469. #13133127	C₂³	semidirect
472. C₂×#41×C₅₃	C₂³	semidirect
476. C₂×Q₁₆×C₅₃	C₂³	semidirect
479. C₂×SD₁₆×C₅₃	C₂³	semidirect
480. C₂×SD₁₆×C₅₃	C₂³	semidirect
486. C₂²×C₈×C₅₃	C₂³	semidirect
488. #127×C₅₃	C₂³	semidirect
497. #121×C₅₃	C₂³	semidirect
499. C₄×Q₈×C₅₃	C₂³	semidirect
504. #107×C₅₃	C₂³	semidirect
505. C₄⋊C₈×C₅₃	C₂³	semidirect
506. #103×C₅₃	C₂³	semidirect
507. #103×C₅₃	C₂³	semidirect
510. #102×C₅₃	C₂³	semidirect
511. #102×C₅₃	C₂³	semidirect
513. C₂²⋊C₈×C₅₃	C₂³	semidirect
514. #97×C₅₃	C₂³	semidirect
693. SD₁₆×C₅₃	C₂×D₄	semidirect
734. #11719924	C₂×D₄	semidirect
738. #11719923	C₂×D₄	semidirect
798. #11719913	C₂×D₄	semidirect
1074. #3268	D₅₃	direct (N × H)
1101. D₅₃	#3268	direct (N × H)
1114. C₂×AGL(1,ℤ/8)	C₂×D₅₃	semidirect
1123. C₂×#135	C₂×D₅₃	semidirect
1146. #550	C₂×D₅₃	semidirect
1158. #546	C₂×D₅₃	semidirect
1183. #496	C₂×D₅₃	semidirect
1191. #468	C₂×D₅₃	semidirect
1199. #466	C₂×D₅₃	semidirect
1207. #464	C₂×D₅₃	semidirect
1215. #459	C₂×D₅₃	semidirect
1223. #452	C₂×D₅₃	semidirect
1238. #449	C₂×D₅₃	semidirect
1239. #449	C₂×D₅₃	semidirect
1247. #447	C₂×D₅₃	semidirect
1255. #440	C₂×D₅₃	semidirect
1263. #435	C₂×D₅₃	semidirect
1275. C₅₃	C₂×#3268	semidirect
1300. C₂×#41	C₂²×D₅₃	semidirect
1351. C₂×Q₁₆	C₂²×D₅₃	semidirect
1370. C₂×SD₁₆	C₂²×D₅₃	semidirect
1371. C₂×SD₁₆	C₂²×D₅₃	semidirect
1405. C₂²×C₈	C₂²×D₅₃	semidirect
1419. #127	C₂²×D₅₃	semidirect
1481. #121	C₂²×D₅₃	semidirect
1495. C₄×Q₈	C₂²×D₅₃	semidirect
1545. #107	C₂²×D₅₃	semidirect
1549. C₄⋊C₈	C₂²×D₅₃	semidirect
1556. #103	C₂²×D₅₃	semidirect
1557. #103	C₂²×D₅₃	semidirect
1572. #102	C₂²×D₅₃	semidirect
1573. #102	C₂²×D₅₃	semidirect
1581. C₂²⋊C₈	C₂²×D₅₃	semidirect
1585. #97	C₂²×D₅₃	semidirect
1779. SD₁₆	D₄×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×AGL(1,ℤ/8)×D₅₃	2
C₂×#135×D₅₃	2
#550×D₅₃	2
#546×D₅₃	2
#20286262	2
#20286261	2
#20286260	2
#20286259	2
#20286258	2
#20286257	2
#20286256	2
#20286255	2
#20286254	2
#20286253	2
#20286252	2
#20286251	2
#20286250	2
#20286249	2
#20286248	2
#496×D₅₃	2
#468×D₅₃	2
#466×D₅₃	2
#464×D₅₃	2
#459×D₅₃	2
#452×D₅₃	2
#449×D₅₃	2
#447×D₅₃	2
#440×D₅₃	2
#435×D₅₃	2
C₅₃×#3268	2
C₂×#3268	53

Subgroups — D53×#3268 #28259097

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3268 #28259097