Subgroups — #28293339

Order 13568.

7466 conjugacy classes of subgroups.

The subgroup lattice has 2324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289271	C₂	1	2	yes	maximal, complemented
2	#20289264	C₂	1	2	yes	maximal, complemented
3	#20289263	C₂	1	4	yes	maximal, complemented
4	#20289238	C₂	1	2	yes	maximal, complemented
5	#20289227	C₂	1	2	yes	maximal, complemented
6	#20289225	C₂	1	4	yes	maximal, complemented
7	#20288952	C₂	1	2	yes	maximal, complemented
8	#20288950	C₂	1	2	yes	maximal, complemented
9	#20288945	C₂	1	4	yes	maximal, complemented
10	#20288905	C₂	1	2	yes	maximal, complemented
11	#20288901	C₂	1	4	yes	maximal, complemented
12	#20288894	C₂	1	2	yes	maximal, complemented
13	#20288885	C₂	1	4	yes	maximal, complemented
14	#20288874	C₂	1	4	yes	maximal, complemented
15	#20288865	C₂	1	4	yes	maximal, complemented
16	#20288864	C₂	1	4	yes	maximal, complemented
17	#20288554	C₂	1	1	yes	maximal, characteristic, complemented
18	#20288552	C₂	1	2	yes	maximal, complemented
19	#20288549	C₂	1	1	yes	maximal, characteristic, complemented
20	#20288474	C₂	1	2	yes	maximal, complemented
21	#20288472	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288347	C₂	1	2	yes	maximal, complemented
23	#20288346	C₂	1	2	yes	maximal, complemented
24	C₂×#16811210	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811181	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133262	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
30	#16811374	C₂²	1	4	yes	complemented
31	#16811372	C₂²	1	4	yes	complemented
32	#16811370	C₂²	1	4	yes	complemented
33	#16811369	C₂²	1	4	yes	complemented
34	#16811368	C₂²	1	4	yes	complemented
35	#16811367	C₂²	1	4	yes	complemented
36	#16811366	C₂²	1	4	yes	complemented
37	#16811365	C₂²	1	4	yes	complemented
38	#16811363	C₂²	1	4	yes	complemented
39	#16811362	C₂²	1	4	yes	complemented
40	#16811361	C₂²	1	4	yes	complemented
41	#16811361	C₂²	1	4	yes	complemented
42	#16811361	C₂²	1	4	yes	complemented
43	#16811361	C₂²	1	4	yes	complemented
44	#16811361	C₂²	1	4	yes	complemented
45	#16811360	C₂²	1	4	yes	complemented
46	#16811357	C₂²	1	4	yes	complemented
47	#16811356	C₂²	1	4	yes	complemented
48	#16811325	C₂²	1	2	yes	complemented
49	#16811325	C₂²	1	4	yes	complemented
50	#16811322	C₂²	1	4	yes	complemented
51	#16811322	C₂²	1	4	yes	complemented
52	#16811321	C₂²	1	4	yes	complemented
53	#16811319	C₂²	1	2	yes	complemented
54	#16811318	C₂²	1	4	yes	complemented
55	#16811316	C₂²	1	4	yes	complemented
56	#16811316	C₂²	1	4	yes	complemented
57	#16811316	C₂²	1	4	yes	complemented
58	#16811316	C₂²	1	4	yes	complemented
59	#16811313	C₂²	1	2	yes	complemented
60	#16811310	C₂²	1	4	yes	complemented
61	#16811308	C₂²	1	2	yes	complemented
62	#16811304	C₂²	1	4	yes	complemented
63	#16811302	C₂²	1	4	yes	complemented
64	#16811302	C₂²	1	4	yes	complemented
65	#16811300	C₂²	1	4	yes	complemented
66	#16811300	C₂²	1	4	yes	complemented
67	#16811299	C₂²	1	4	yes	complemented
68	#16811299	C₂²	1	4	yes	complemented
69	#16811296	C₂²	1	4	yes	complemented
70	#16811282	C₂²	1	2	yes	complemented
71	#16811279	C₂²	1	2	yes	complemented
72	#16811279	C₂²	1	4	yes	complemented
73	#16811274	C₂²	1	2	yes	complemented
74	#16811273	C₂²	1	2	yes	complemented
75	#16811272	C₂²	1	4	yes	complemented
76	#16811272	C₂²	1	4	yes	complemented
77	#16811269	C₂²	1	2	yes	complemented
78	#16811268	C₂²	1	4	yes	complemented
79	#16811267	C₂²	1	2	yes	complemented
80	#16811267	C₂²	1	4	yes	complemented
81	#16811267	C₂²	1	4	yes	complemented
82	#16811265	C₂²	1	4	yes	complemented
83	#16811265	C₂²	1	4	yes	complemented
84	#16811263	C₂²	1	4	yes	complemented
85	#16811263	C₂²	1	4	yes	complemented
86	#16811262	C₂²	1	4	yes	complemented
87	#16811262	C₂²	1	4	yes	complemented
88	#16811262	C₂²	1	4	yes	complemented
89	#16811262	C₂²	1	4	yes	complemented
90	#16811261	C₂²	1	4	yes	complemented
91	#16811261	C₂²	1	4	yes	complemented
92	#16811261	C₂²	1	4	yes	complemented
93	#16811261	C₂²	1	4	yes	complemented
94	#16811261	C₂²	1	4	yes	complemented
95	#16811261	C₂²	1	4	yes	complemented
96	#16811260	C₂²	1	4	yes	complemented
97	#16811260	C₂²	1	4	yes	complemented
98	#16811257	C₂²	1	2	yes	complemented
99	#16811257	C₂²	1	4	yes	complemented
100	#16811257	C₂²	1	4	yes	complemented
101	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
102	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
103	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
104	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
105	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
106	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
107	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
108	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
109	#16811255	C₂²	1	4	yes	complemented
110	#16811255	C₂²	1	4	yes	complemented
111	#16811255	C₂²	1	4	yes	complemented
112	#16811247	C₂²	1	4	yes	complemented
113	#16811243	C₂²	1	4	yes	complemented
114	#16811241	C₂²	1	4	yes	complemented
115	#16811237	C₂²	1	4	yes	complemented
116	#16811226	C₂²	1	4	yes	complemented
117	#16811225	C₂²	1	4	yes	complemented
118	#16811223	C₂²	1	4	yes	complemented
119	#16811223	C₂²	1	4	yes	complemented
120	#16811222	C₂²	1	4	yes	complemented
121	#16811220	C₂²	1	4	yes	complemented
122	#16811220	C₂²	1	2	yes	complemented
123	#16811219	C₂²	1	4	yes	complemented
124	#16811218	C₂²	1	2	yes	complemented
125	#16811217	C₂²	1	4	yes	complemented
126	#16811215	C₂²	1	4	yes	complemented
127	#16811213	C₂²	1	4	yes	complemented
128	#16811211	C₂²	1	4	yes	complemented
129	#16811211	C₂²	1	2	yes	complemented
130	#16811210	C₂²	1	4	yes	complemented
131	#16811210	C₂²	1	4	yes	complemented
132	#16811210	C₂²	1	2	yes	complemented
133	#16811210	C₂²	1	2	yes	complemented
134	#16811210	C₂²	1	2	yes	complemented
135	#16811210	C₂²	1	2	yes	complemented
136	#16811210	C₂²	1	2	yes	complemented
137	#16811210	C₂²	1	4	yes	complemented
138	#16811209	C₂²	1	4	yes	complemented
139	#16811209	C₂²	1	4	yes	complemented
140	#16811208	C₂²	1	4	yes	complemented
141	#16811208	C₂²	1	4	yes	complemented
142	#16811207	C₂²	1	4	yes	complemented
143	#16811206	C₂²	1	4	yes	complemented
144	#16811206	C₂²	1	4	yes	complemented
145	#16811206	C₂²	1	4	yes	complemented
146	#16811206	C₂²	1	4	yes	complemented
147	#16811206	C₂²	1	4	yes	complemented
148	#16811206	C₂²	1	4	yes	complemented
149	#16811206	C₂²	1	4	yes	complemented
150	#16811205	C₂²	1	4	yes	complemented
151	#16811205	C₂²	1	4	yes	complemented
152	#16811201	C₂²	1	4	yes	complemented
153	#16811200	C₂²	1	2	yes	complemented
154	#16811189	C₂²	1	4	yes	complemented
155	#16811188	C₂²	1	4	yes	complemented
156	#16811188	C₂²	1	4	yes	complemented
157	#16811188	C₂²	1	4	yes	complemented
158	#16811187	C₂²	1	4	yes	complemented
159	#16811186	C₂²	1	4	yes	complemented
160	#16811185	C₂²	1	4	yes	complemented
161	#16811184	C₂²	1	4	yes	complemented
162	#16811183	C₂²	1	4	yes	complemented
163	#16811182	C₂²	1	4	yes	complemented
164	#16811182	C₂²	1	2	yes	complemented
165	#16811182	C₂²	1	2	yes	complemented
166	#16811182	C₂²	1	2	yes	complemented
167	#16811182	C₂²	1	4	yes	complemented
168	#16811182	C₂²	1	4	yes	complemented
169	#16811181	C₂²	1	2	yes	complemented
170	#16811181	C₂²	1	4	yes	complemented
171	#16811181	C₂²	1	2	yes	complemented
172	#16811181	C₂²	1	4	yes	complemented
173	#16811181	C₂²	1	2	yes	complemented
174	#16811181	C₂²	1	2	yes	complemented
175	#16811181	C₂²	1	4	yes	complemented
176	#16811181	C₂²	1	2	yes	complemented
177	#16811169	C₂²	1	4	yes	complemented
178	#16811168	C₂²	1	2	yes	complemented
179	#16811157	C₂²	1	2	yes	complemented
180	#16811154	C₂²	1	2	yes	complemented
181	#16811150	C₂²	1	4	yes	complemented
182	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133212	C₂²	1	2	yes	complemented
184	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133203	C₂²	1	2	yes	complemented
188	#16811134	C₂²	1	2	yes	complemented
189	#16811133	C₂²	1	2	yes	complemented
190	#16811131	C₂²	1	4	yes	complemented
191	#16811130	C₂²	1	4	yes	complemented
192	#16811129	C₂²	1	4	yes	complemented
193	C₂×#13133202	C₂²	1	2	yes	complemented
194	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
195	C₂×#13133201	C₂²	1	2	yes	complemented
196	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
197	C₂×#13133199	C₂²	1	2	yes	complemented
198	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
199	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
200	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
201	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
202	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
203	C₂×#13133189	C₂²	1	2	yes	complemented
204	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
205	C₂×#13133189	C₂²	1	2	yes	complemented
206	C₂×#13133189	C₂²	1	4	yes	complemented
207	#121×D₅₃	C₂²	1	2	yes	complemented
208	C₂×#13133187	C₂²	1	2	yes	complemented
209	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
210	C₂×#13133185	C₂²	1	2	yes	complemented
211	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
212	C₂×#13133185	C₂²	1	2	yes	complemented
213	C₂×#13133185	C₂²	1	4	yes	complemented
214	#120×D₅₃	C₂²	1	4	yes	complemented
215	#16811098	C₂²	1	2	yes	complemented
216	#16811096	C₂²	1	2	yes	complemented
217	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
218	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
220	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	2	yes	complemented
221	C₅₃×#547	C₂²	1	2	yes	complemented
222	C₅₃×#547	C₂²	1	2	yes	complemented
223	C₅₃×#546	C₂²	1	4	yes	complemented
224	C₅₃×#546	C₂²	1	4	yes	complemented
225	D₄²×C₅₃	C₂²	1	2	yes	complemented
226	D₄²×C₅₃	C₂²	1	2	yes	complemented
227	C₅₃×#537	C₂²	1	2	yes	complemented
228	C₅₃×#534	C₂²	1	2	yes	complemented
229	C₅₃×#534	C₂²	1	2	yes	complemented
230	C₅₃×#532	C₂²	1	2	yes	complemented
231	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
232	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
233	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
234	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
235	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
236	C₂⁴×D₅₃	C₂³	1	2	yes	—
237	#13133262	—	4	8	no	—
238	C₂×#11719945	C₂³	1	4	yes	complemented
239	C₂×#11719945	C₂³	1	2	yes	complemented
240	C₂×#11719947	C₂³	1	4	yes	—
241	C₂×#11719947	C₂³	1	4	yes	complemented
242	C₂×#11719947	C₂³	1	2	yes	complemented
243	C₂×#11719947	C₂³	1	4	yes	complemented
244	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
245	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
246	C₂²×D₂₁₂	C₂³	1	2	yes	—
247	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
248	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
249	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
252	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
253	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
254	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
255	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
256	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
259	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
260	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
261	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
262	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
263	C₂×D₄×D₅₃	—	4	8	no	—
264	C₂×D₄×D₅₃	C₂³	1	4	yes	—
265	C₂×D₄×D₅₃	C₂³	1	4	yes	—
266	C₂×D₄×D₅₃	C₂³	1	4	yes	—
267	C₂×D₄×D₅₃	C₂³	1	4	yes	—
268	C₂×D₄×D₅₃	C₂³	1	4	yes	—
269	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
270	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
271	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
272	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
273	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
274	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
275	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
276	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
277	#13133216	C₂³	1	2	yes	complemented
278	#13133215	C₂³	1	4	yes	complemented
279	#13133213	C₂³	1	4	yes	—
280	#13133213	C₂³	1	4	yes	—
281	#13133213	C₂³	1	4	yes	—
282	#13133213	C₂³	1	4	yes	—
283	#13133213	C₂³	1	2	yes	complemented
284	#13133213	C₂³	1	4	yes	complemented
285	#13133212	C₂³	1	4	yes	complemented
286	#13133212	C₂³	1	4	yes	complemented
287	#13133212	C₂³	1	4	yes	complemented
288	#13133212	C₂³	1	4	yes	complemented
289	#13133212	C₂³	1	4	yes	complemented
290	#13133212	C₂³	1	4	yes	complemented
291	#13133212	C₂³	1	4	yes	complemented
292	#13133212	C₂³	1	4	yes	complemented
293	#13133212	C₂³	1	4	yes	complemented
294	#13133212	C₂³	1	4	yes	complemented
295	#13133211	C₂³	1	4	yes	complemented
296	#13133211	C₂³	1	4	yes	complemented
297	#13133211	C₂³	1	4	yes	complemented
298	#13133210	C₂³	1	4	yes	complemented
299	#13133210	C₂³	1	4	yes	complemented
300	#13133210	C₂³	1	4	yes	complemented
301	#13133210	C₂³	1	4	yes	complemented
302	#13133210	C₂³	1	4	yes	complemented
303	#13133210	C₂³	1	4	yes	complemented
304	#13133210	C₂³	1	4	yes	complemented
305	#13133209	C₂³	1	2	yes	complemented
306	#13133208	C₂³	1	2	yes	complemented
307	#13133208	C₂³	1	4	yes	complemented
308	#13133207	C₂³	1	4	yes	complemented
309	#13133207	C₂³	1	4	yes	complemented
310	#13133207	C₂³	1	4	yes	complemented
311	#13133207	C₂³	1	4	yes	complemented
312	#13133206	C₂³	1	4	yes	—
313	#13133206	C₂³	1	4	yes	—
314	#13133206	C₂³	1	4	yes	complemented
315	#13133205	C₂³	1	4	yes	complemented
316	#13133205	C₂³	1	2	yes	complemented
317	#13133205	C₂³	1	4	yes	complemented
318	#13133204	C₂³	1	4	yes	complemented
319	#13133204	C₂³	1	2	yes	complemented
320	#13133204	C₂³	1	4	yes	complemented
321	#13133203	C₂³	1	4	yes	—
322	#13133203	C₂³	1	4	yes	—
323	#13133203	C₂³	1	4	yes	complemented
324	#13133203	C₂³	1	4	yes	complemented
325	#13133203	C₂³	1	4	yes	complemented
326	#13133203	C₂³	1	4	yes	complemented
327	#13133203	C₂³	1	4	yes	complemented
328	#13133203	C₂³	1	4	yes	complemented
329	#13133203	C₂³	1	4	yes	complemented
330	#13133203	C₂³	1	4	yes	complemented
331	#13133203	C₂³	1	4	yes	complemented
332	#13133203	C₂³	1	4	yes	complemented
333	#13133203	C₂³	1	4	yes	complemented
334	#13133202	C₂³	1	4	yes	—
335	#13133202	C₂³	1	4	yes	—
336	#13133202	C₂³	1	4	yes	—
337	#13133202	C₂³	1	4	yes	—
338	#13133202	C₂³	1	4	yes	—
339	#13133202	C₂³	1	4	yes	—
340	#13133202	C₂³	1	4	yes	complemented
341	#13133202	C₂³	1	4	yes	complemented
342	#13133202	C₂³	1	4	yes	complemented
343	#13133202	C₂³	1	4	yes	complemented
344	#13133201	C₂³	1	4	yes	complemented
345	#13133201	C₂³	1	4	yes	complemented
346	#13133201	C₂³	1	4	yes	complemented
347	#13133201	C₂³	1	4	yes	complemented
348	#13133201	C₂³	1	4	yes	complemented
349	#13133201	C₂³	1	4	yes	complemented
350	#13133201	C₂³	1	4	yes	complemented
351	#13133200	C₂³	1	4	yes	—
352	#13133200	C₂³	1	4	yes	—
353	#13133200	C₂³	1	4	yes	—
354	#13133200	C₂³	1	4	yes	complemented
355	#13133200	C₂³	1	4	yes	complemented
356	#13133200	C₂³	1	4	yes	complemented
357	#13133200	C₂³	1	4	yes	complemented
358	#13133200	C₂³	1	4	yes	complemented
359	#13133200	C₂³	1	4	yes	complemented
360	#13133200	C₂³	1	4	yes	complemented
361	#13133199	C₂³	1	4	yes	—
362	#13133199	C₂³	1	4	yes	—
363	#13133199	C₂³	1	4	yes	—
364	#13133199	C₂³	1	4	yes	—
365	#13133199	C₂³	1	4	yes	complemented
366	#13133199	C₂³	1	4	yes	complemented
367	#13133199	C₂³	1	4	yes	complemented
368	#13133199	C₂³	1	4	yes	complemented
369	#13133199	C₂³	1	4	yes	complemented
370	#13133198	C₂³	1	4	yes	—
371	#13133198	C₂³	1	4	yes	—
372	#13133198	C₂³	1	4	yes	complemented
373	#13133198	C₂³	1	4	yes	complemented
374	#13133198	C₂³	1	4	yes	complemented
375	#13133198	C₂³	1	4	yes	complemented
376	#13133198	C₂³	1	4	yes	complemented
377	#13133198	C₂³	1	4	yes	complemented
378	#13133197	C₂³	1	4	yes	complemented
379	#13133197	C₂³	1	2	yes	complemented
380	#13133196	C₂³	1	2	yes	—
381	#13133196	C₂³	1	2	yes	—
382	#13133196	C₂³	1	4	yes	complemented
383	#13133196	C₂³	1	4	yes	complemented
384	#13133196	C₂³	1	2	yes	complemented
385	#13133196	C₂³	1	2	yes	complemented
386	#13133196	C₂³	1	2	yes	complemented
387	#13133195	C₂³	1	4	yes	complemented
388	#13133195	C₂³	1	4	yes	complemented
389	#13133195	C₂³	1	4	yes	complemented
390	#13133195	C₂³	1	4	yes	complemented
391	#13133194	C₂³	1	4	yes	—
392	#13133194	C₂³	1	4	yes	complemented
393	#13133194	C₂³	1	4	yes	complemented
394	#13133194	C₂³	1	4	yes	complemented
395	#13133194	C₂³	1	4	yes	complemented
396	#13133194	C₂³	1	4	yes	complemented
397	#13133193	C₂³	1	4	yes	complemented
398	#13133193	C₂³	1	4	yes	complemented
399	#13133193	C₂³	1	4	yes	complemented
400	#13133193	C₂³	1	4	yes	complemented
401	#13133192	C₂³	1	4	yes	—
402	#13133192	C₂³	1	4	yes	—
403	#13133192	C₂³	1	2	yes	complemented
404	#13133191	C₂³	1	4	yes	—
405	#13133191	C₂³	1	2	yes	—
406	#13133191	C₂³	1	2	yes	—
407	#13133191	C₂³	1	4	yes	—
408	#13133191	C₂³	1	4	yes	—
409	#13133191	C₂³	1	4	yes	—
410	#13133191	C₂³	1	2	yes	—
411	#13133191	C₂³	1	2	yes	—
412	#13133191	C₂³	1	4	yes	complemented
413	#13133191	C₂³	1	2	yes	complemented
414	#13133191	C₂³	1	4	yes	complemented
415	#13133191	C₂³	1	4	yes	complemented
416	#13133191	C₂³	1	4	yes	complemented
417	#13133190	C₂³	1	4	yes	—
418	#13133190	C₂³	1	4	yes	—
419	#13133190	C₂³	1	4	yes	—
420	#13133190	C₂³	1	4	yes	—
421	#13133190	C₂³	1	4	yes	complemented
422	#13133190	C₂³	1	4	yes	complemented
423	#13133190	C₂³	1	4	yes	complemented
424	#13133190	C₂³	1	4	yes	complemented
425	#13133190	C₂³	1	4	yes	complemented
426	#13133190	C₂³	1	4	yes	complemented
427	#13133190	C₂³	1	4	yes	complemented
428	#13133189	C₂³	1	4	yes	—
429	#13133189	C₂³	1	4	yes	—
430	#13133189	C₂³	1	4	yes	—
431	#13133189	C₂³	1	4	yes	—
432	#13133189	C₂³	1	4	yes	—
433	#13133189	C₂³	1	4	yes	—
434	#13133189	C₂³	1	4	yes	—
435	#13133189	C₂³	1	4	yes	—
436	#13133189	C₂³	1	4	yes	—
437	#13133189	C₂³	1	4	yes	—
438	#13133189	C₂³	1	4	yes	—
439	#13133189	C₂³	1	4	yes	complemented
440	#13133189	C₂³	1	4	yes	complemented
441	#13133189	C₂³	1	4	yes	complemented
442	#13133189	C₂³	1	4	yes	complemented
443	#13133189	C₂³	1	4	yes	complemented
444	#13133189	C₂³	1	4	yes	complemented
445	#13133189	C₂³	1	4	yes	complemented
446	#13133189	C₂³	1	4	yes	complemented
447	#13133189	C₂³	1	4	yes	complemented
448	#13133189	C₂³	1	4	yes	complemented
449	#13133189	C₂³	1	4	yes	complemented
450	#13133189	C₂³	1	4	yes	complemented
451	#13133189	C₂³	1	4	yes	complemented
452	#13133189	C₂³	1	4	yes	complemented
453	#13133189	C₂³	1	4	yes	complemented
454	#13133189	C₂³	1	4	yes	complemented
455	#13133189	C₂³	1	4	yes	complemented
456	#13133189	C₂³	1	4	yes	complemented
457	#13133189	C₂³	1	4	yes	complemented
458	#13133188	C₂³	1	4	yes	complemented
459	#13133188	C₂³	1	2	yes	complemented
460	#13133188	C₂³	1	4	yes	complemented
461	#13133188	C₂³	1	2	yes	complemented
462	#13133188	C₂³	1	4	yes	complemented
463	#13133188	C₂³	1	4	yes	complemented
464	#13133188	C₂³	1	4	yes	complemented
465	#13133187	C₂³	1	4	yes	—
466	#13133187	C₂³	1	4	yes	—
467	#13133187	C₂³	1	4	yes	—
468	#13133187	C₂³	1	4	yes	—
469	#13133187	C₂³	1	4	yes	—
470	#13133187	C₂³	1	4	yes	—
471	#13133187	C₂³	1	4	yes	—
472	#13133187	C₂³	1	4	yes	—
473	#13133187	C₂³	1	4	yes	complemented
474	#13133187	C₂³	1	4	yes	complemented
475	#13133187	C₂³	1	4	yes	complemented
476	#13133186	C₂³	1	4	yes	—
477	#13133186	C₂³	1	4	yes	—
478	#13133186	C₂³	1	4	yes	—
479	#13133186	C₂³	1	4	yes	complemented
480	#13133186	C₂³	1	4	yes	complemented
481	#13133186	C₂³	1	4	yes	complemented
482	#13133186	C₂³	1	4	yes	complemented
483	#13133185	C₂³	1	4	yes	—
484	#13133185	C₂³	1	4	yes	—
485	#13133185	C₂³	1	4	yes	—
486	#13133185	C₂³	1	4	yes	—
487	#13133185	C₂³	1	4	yes	—
488	#13133185	C₂³	1	4	yes	—
489	#13133185	C₂³	1	4	yes	—
490	#13133185	C₂³	1	4	yes	—
491	#13133185	C₂³	1	4	yes	—
492	#13133185	C₂³	1	4	yes	—
493	#13133185	C₂³	1	4	yes	—
494	#13133185	C₂³	1	4	yes	—
495	#13133185	C₂³	1	4	yes	complemented
496	#13133185	C₂³	1	4	yes	complemented
497	#13133185	C₂³	1	4	yes	complemented
498	#13133185	C₂³	1	4	yes	complemented
499	#13133185	C₂³	1	4	yes	complemented
500	#13133185	C₂³	1	4	yes	complemented
501	#13133185	C₂³	1	4	yes	complemented
502	#13133185	C₂³	1	4	yes	complemented
503	#13133185	C₂³	1	4	yes	complemented
504	#13133185	C₂³	1	4	yes	complemented
505	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
506	#13133182	C₂³	1	2	yes	complemented
507	#13133182	C₂³	1	4	yes	complemented
508	C₄×D₂₁₂	C₂³	1	2	yes	complemented
509	D₄×Dic₅₃	C₂³	1	4	yes	—
510	D₄×Dic₅₃	C₂³	1	4	yes	—
511	D₄×Dic₅₃	C₂³	1	4	yes	complemented
512	D₄×Dic₅₃	C₂³	1	2	yes	complemented
513	D₄×Dic₅₃	C₂³	1	4	yes	complemented
514	D₄×Dic₅₃	C₂³	1	2	yes	complemented
515	D₄×Dic₅₃	C₂³	1	4	yes	complemented
516	D₄×Dic₅₃	C₂³	1	4	yes	complemented
517	D₄×Dic₅₃	C₂³	1	4	yes	complemented
518	D₄×Dic₅₃	C₂³	1	4	yes	complemented
519	D₄×Dic₅₃	C₂³	1	4	yes	complemented
520	#13133179	C₂³	1	4	yes	complemented
521	#13133179	C₂³	1	4	yes	complemented
522	#13133179	C₂³	1	2	yes	complemented
523	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
524	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
525	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
526	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
527	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
528	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
529	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
530	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
531	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
532	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
533	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
534	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
535	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
536	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
537	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
538	#13133177	C₂³	1	4	yes	complemented
539	#13133177	C₂³	1	4	yes	complemented
540	#13133177	C₂³	1	4	yes	complemented
541	#13133177	C₂³	1	4	yes	complemented
542	#13133177	C₂³	1	4	yes	complemented
543	#13133177	C₂³	1	4	yes	complemented
544	#13133177	C₂³	1	4	yes	complemented
545	#13133177	C₂³	1	4	yes	complemented
546	#13133176	C₂³	1	4	yes	—
547	#13133176	C₂³	1	2	yes	complemented
548	#13133175	C₂³	1	4	yes	complemented
549	#13133175	C₂³	1	2	yes	complemented
550	#13133174	C₂³	1	4	yes	complemented
551	#13133173	C₂³	1	4	yes	—
552	#13133173	C₂³	1	4	yes	complemented
553	#13133173	C₂³	1	4	yes	complemented
554	#13133173	C₂³	1	4	yes	complemented
555	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
556	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
557	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
558	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
559	C₂×#11719919	C₂³	1	2	yes	—
560	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
561	C₂×#11719919	C₂³	1	4	yes	complemented
562	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
563	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
564	C₂×#11719919	C₂³	1	2	yes	complemented
565	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
566	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
567	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
568	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
569	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
570	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
571	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
572	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
573	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
574	C₂×#11719921	C₂³	1	2	yes	—
575	C₂×#11719921	C₂³	1	2	yes	—
576	C₂×#11719921	C₂³	1	2	yes	—
577	C₂×#11719921	C₂³	1	2	yes	—
578	C₂×#11719921	C₂³	1	2	yes	—
579	C₂×#11719921	C₂³	1	2	yes	—
580	C₂×#11719921	C₂³	1	2	yes	—
581	C₂×#11719921	C₂³	1	1	yes	characteristic
582	C₂×#11719921	C₂³	1	1	yes	characteristic
583	C₂×#11719921	C₂³	1	1	yes	characteristic
584	C₂×#11719921	C₂³	1	2	yes	—
585	C₂×#11719921	C₂³	1	1	yes	characteristic
586	C₂×#11719921	C₂³	1	1	yes	characteristic
587	C₂×#11719921	C₂³	1	1	yes	characteristic
588	C₂×#11719921	C₂³	1	1	yes	characteristic
589	C₂×#11719921	C₂³	1	1	yes	characteristic
590	C₂×#11719921	C₂³	1	4	yes	complemented
591	C₂×#11719921	C₂³	1	4	yes	complemented
592	C₂×#11719921	C₂³	1	4	yes	complemented
593	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
594	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
595	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
596	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
597	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
598	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
599	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
600	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
601	H(5,𝔽₂)×C₅₃	—	4	8	no	—
602	C₂×#41×C₅₃	C₂³	1	4	yes	—
603	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
604	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
605	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
606	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
607	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
608	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
609	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
610	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
611	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
612	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
613	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
614	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
615	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
616	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
617	#127×C₅₃	C₂³	1	2	yes	complemented
618	#124×C₅₃	C₂³	1	4	yes	complemented
619	#123×C₅₃	C₂³	1	4	yes	—
620	#123×C₅₃	C₂³	1	4	yes	complemented
621	#123×C₅₃	C₂³	1	4	yes	complemented
622	#123×C₅₃	C₂³	1	4	yes	complemented
623	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
624	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
625	#121×C₅₃	C₂³	1	2	yes	—
626	#121×C₅₃	C₂³	1	2	yes	—
627	#121×C₅₃	C₂³	1	2	yes	—
628	#121×C₅₃	C₂³	1	2	yes	—
629	#121×C₅₃	C₂³	1	2	yes	—
630	#121×C₅₃	C₂³	1	2	yes	—
631	#121×C₅₃	C₂³	1	4	yes	complemented
632	#121×C₅₃	C₂³	1	2	yes	complemented
633	#121×C₅₃	C₂³	1	4	yes	complemented
634	#121×C₅₃	C₂³	1	2	yes	complemented
635	#121×C₅₃	C₂³	1	2	yes	complemented
636	#121×C₅₃	C₂³	1	2	yes	complemented
637	#121×C₅₃	C₂³	1	4	yes	complemented
638	#121×C₅₃	C₂³	1	4	yes	complemented
639	#121×C₅₃	C₂³	1	4	yes	complemented
640	#120×C₅₃	C₂³	1	4	yes	—
641	#120×C₅₃	C₂³	1	4	yes	complemented
642	#120×C₅₃	C₂³	1	4	yes	complemented
643	#120×C₅₃	C₂³	1	4	yes	complemented
644	C₄×D₄×C₅₃	C₂³	1	2	yes	—
645	C₄×D₄×C₅₃	C₂³	1	2	yes	—
646	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
647	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
648	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
649	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
650	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
651	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
652	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
653	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
654	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
655	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
656	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
657	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
658	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
659	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
660	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
661	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
662	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
663	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
664	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
665	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
666	C₂³×D₅₃	—	2	4	no	—
667	C₂³×D₅₃	—	4	4	no	—
668	C₂³×D₅₃	—	8	1	no	—
669	C₂³×D₅₃	—	8	1	no	—
670	C₂³×D₅₃	—	8	2	no	—
671	C₂³×D₅₃	—	8	2	no	—
672	C₂³×D₅₃	C₂⁴	1	2	yes	—
673	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
674	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
675	C₂³×D₅₃	C₂⁴	1	2	yes	—
676	C₂³×D₅₃	C₂⁴	1	2	yes	—
677	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
678	C₂³×D₅₃	C₂⁴	1	4	yes	—
679	C₂³×D₅₃	C₂⁴	1	4	yes	—
680	C₂³×D₅₃	C₂⁴	1	4	yes	—
681	#41×C₅₃	—	4	8	no	—
682	#41×C₅₃	—	4	8	no	—
683	#41×C₅₃	—	4	8	no	—
684	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
685	C₂×D₄×C₅₃	—	2	4	no	—
686	C₂×D₄×C₅₃	—	2	8	no	—
687	C₂×D₄×C₅₃	—	2	8	no	—
688	C₂×D₄×C₅₃	—	4	8	no	—
689	C₂×D₄×C₅₃	—	4	8	no	—
690	C₂×D₄×C₅₃	—	4	8	no	—
691	C₂×D₄×C₅₃	—	8	1	no	—
692	C₂×D₄×C₅₃	—	8	1	no	—
693	C₂×D₄×C₅₃	—	8	2	no	—
694	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
695	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
696	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
697	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
698	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
699	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
700	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
701	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
702	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
703	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
704	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
705	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
706	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
707	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
708	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
709	C₂²×C₄×C₅₃	—	8	1	no	—
710	C₂²×C₄×C₅₃	—	8	1	no	—
711	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
712	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
713	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
714	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
715	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
716	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
717	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
718	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
719	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
720	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
721	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
722	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
723	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
724	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
725	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
726	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
727	C₂×C₂²⋊D₅₃	—	2	8	no	—
728	C₂×C₂²⋊D₅₃	—	2	4	no	—
729	C₂×C₂²⋊D₅₃	—	4	4	no	—
730	C₂×C₂²⋊D₅₃	—	4	8	no	—
731	C₂×C₂²⋊D₅₃	—	8	2	no	—
732	C₂×C₂²⋊D₅₃	—	8	1	no	—
733	C₂×C₂²⋊D₅₃	—	8	1	no	—
734	C₂×C₂²⋊D₅₃	—	8	2	no	—
735	C₂×C₂²⋊D₅₃	—	8	2	no	—
736	C₂×C₂²⋊D₅₃	—	8	4	no	—
737	C₂×C₂²⋊D₅₃	—	8	4	no	—
738	C₂×C₂²⋊D₅₃	—	8	4	no	—
739	C₂×C₂²⋊D₅₃	—	8	1	no	—
740	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
742	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
744	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
748	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
750	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
752	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
753	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
755	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
756	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
757	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
758	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
759	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
760	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
762	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
763	C₂²×Dic₅₃	—	8	1	no	—
764	C₂²×Dic₅₃	—	8	2	no	—
765	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
766	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
767	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
768	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
769	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
770	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
771	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
772	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
773	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
774	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
775	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
776	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
777	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
778	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
779	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
780	#11719947	—	4	8	no	—
781	#11719947	—	4	8	no	—
782	#11719947	—	8	2	no	—
783	#11719947	—	8	4	no	—
784	D₄×D₅₃	—	4	8	no	—
785	D₄×D₅₃	—	4	8	no	—
786	D₄×D₅₃	—	4	8	no	—
787	D₄×D₅₃	—	4	8	no	—
788	D₄×D₅₃	—	4	8	no	—
789	D₄×D₅₃	—	4	8	no	—
790	D₄×D₅₃	—	8	2	no	—
791	D₄×D₅₃	—	8	4	no	—
792	D₄×D₅₃	—	8	4	no	—
793	#11719945	—	4	8	no	—
794	#11719945	—	8	2	no	—
795	C₂×D₂₁₂	—	4	4	no	—
796	C₂×D₂₁₂	—	8	1	no	—
797	C₂×D₂₁₂	—	8	1	no	—
798	C₂×D₂₁₂	—	8	1	no	—
799	C₂×D₂₁₂	C₂⁴	1	2	yes	—
800	C₂×D₂₁₂	C₂⁴	1	4	yes	—
801	C₂×D₂₁₂	C₂⁴	1	4	yes	—
802	C₂×D₂₁₂	C₂⁴	1	2	yes	—
803	C₂×D₂₁₂	C₂⁴	1	4	yes	—
804	C₂×D₂₁₂	C₂⁴	1	4	yes	—
805	C₂×D₂₁₂	C₂⁴	1	4	yes	—
806	C₂×C₄×D₅₃	—	4	4	no	—
807	C₂×C₄×D₅₃	—	8	1	no	—
808	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
809	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
810	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
811	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
812	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
813	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
814	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
815	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
816	C₂×Dic₁₀₆	—	8	1	no	—
817	C₂×Dic₁₀₆	—	8	1	no	—
818	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
819	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
820	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
821	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
822	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
823	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
824	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
825	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
826	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
827	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
828	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
829	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
831	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
833	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
834	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
835	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
836	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
837	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
841	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₄²×C₅₃	C₂⁴	1	2	yes	—
843	C₄²×C₅₃	C₂⁴	1	2	yes	—
844	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
845	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
846	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
847	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
848	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
849	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
850	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
851	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
852	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
853	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
854	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
855	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
856	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
857	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
858	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
859	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
860	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
861	#11719921	C₂⁴	1	4	yes	—
862	#11719921	C₂⁴	1	4	yes	—
863	#11719921	C₂⁴	1	4	yes	—
864	#11719921	C₂⁴	1	4	yes	—
865	#11719921	C₂⁴	1	4	yes	—
866	#11719921	C₂⁴	1	4	yes	—
867	#11719921	C₂⁴	1	4	yes	—
868	#11719921	C₂⁴	1	4	yes	—
869	#11719921	C₂⁴	1	2	yes	—
870	#11719921	C₂⁴	1	2	yes	—
871	#11719921	C₂⁴	1	2	yes	—
872	#11719921	C₂⁴	1	2	yes	—
873	#11719921	C₂⁴	1	2	yes	—
874	#11719921	C₂⁴	1	2	yes	—
875	#11719921	C₂⁴	1	2	yes	—
876	#11719921	C₂⁴	1	2	yes	—
877	#11719921	C₂⁴	1	4	yes	—
878	#11719921	C₂⁴	1	4	yes	—
879	#11719921	C₂⁴	1	4	yes	—
880	#11719921	C₂⁴	1	4	yes	—
881	#11719921	C₂⁴	1	4	yes	—
882	#11719921	C₂⁴	1	4	yes	—
883	#11719921	C₂⁴	1	4	yes	—
884	#11719921	C₂⁴	1	4	yes	—
885	#11719921	C₂⁴	1	4	yes	—
886	#11719921	C₂⁴	1	4	yes	—
887	#11719921	C₂⁴	1	4	yes	—
888	#11719921	C₂⁴	1	4	yes	—
889	#11719921	C₂⁴	1	2	yes	—
890	#11719921	C₂⁴	1	2	yes	—
891	#11719921	C₂⁴	1	4	yes	—
892	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
893	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
894	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
895	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
896	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
897	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
898	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
899	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
900	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
901	#11719919	C₂⁴	1	4	yes	—
902	#11719919	C₂⁴	1	4	yes	—
903	#11719919	C₂⁴	1	4	yes	—
904	#11719919	C₂⁴	1	4	yes	—
905	#11719919	C₂⁴	1	4	yes	—
906	#11719919	C₂⁴	1	4	yes	—
907	#11719919	C₂⁴	1	4	yes	—
908	#11719919	C₂⁴	1	4	yes	—
909	#11719919	C₂⁴	1	4	yes	—
910	#11719919	C₂⁴	1	4	yes	—
911	#11719919	C₂⁴	1	2	yes	—
912	#11719919	C₂⁴	1	2	yes	—
913	#11719919	C₂⁴	1	4	yes	—
914	#11719919	C₂⁴	1	4	yes	—
915	#11719919	C₂⁴	1	4	yes	—
916	#11719919	C₂⁴	1	4	yes	—
917	#11719919	C₂⁴	1	4	yes	—
918	C₄×Dic₅₃	C₂⁴	1	2	yes	—
919	C₄×Dic₅₃	C₂⁴	1	4	yes	—
920	C₄×Dic₅₃	C₂⁴	1	2	yes	—
921	C₄×Dic₅₃	C₂⁴	1	4	yes	—
922	C₄×Dic₅₃	C₂⁴	1	4	yes	—
923	C₄×Dic₅₃	C₂⁴	1	4	yes	—
924	C₄×Dic₅₃	C₂⁴	1	4	yes	—
925	C₄×Dic₅₃	C₂⁴	1	4	yes	—
926	C₂³×C₅₃	—	2	4	no	—
927	C₂³×C₅₃	—	2	4	no	—
928	C₂³×C₅₃	—	2	2	no	—
929	C₂³×C₅₃	—	4	1	no	—
930	C₂³×C₅₃	—	4	1	no	—
931	C₂³×C₅₃	—	4	2	no	—
932	C₂³×C₅₃	—	4	1	no	—
933	C₂³×C₅₃	—	4	1	no	—
934	C₂³×C₅₃	—	4	2	no	—
935	C₂³×C₅₃	—	4	2	no	—
936	C₂³×C₅₃	—	4	2	no	—
937	C₂³×C₅₃	—	4	4	no	—
938	C₂³×C₅₃	—	4	4	no	—
939	C₂³×C₅₃	—	4	4	no	—
940	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
941	C₂³×C₅₃	C₂⁵	1	4	yes	—
942	C₂³×C₅₃	C₂⁵	1	4	yes	—
943	C₂³×C₅₃	C₂⁵	1	2	yes	—
944	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
945	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
946	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
947	C₂²×D₅₃	—	2	4	no	—
948	C₂²×D₅₃	—	2	4	no	—
949	C₂²×D₅₃	—	2	2	no	—
950	C₂²×D₅₃	—	2	2	no	—
951	C₂²×D₅₃	—	2	2	no	—
952	C₂²×D₅₃	—	2	4	no	—
953	C₂²×D₅₃	—	4	2	no	—
954	C₂²×D₅₃	—	4	2	no	—
955	C₂²×D₅₃	—	4	1	no	—
956	C₂²×D₅₃	—	4	1	no	—
957	C₂²×D₅₃	—	4	2	no	—
958	C₂²×D₅₃	—	4	1	no	—
959	C₂²×D₅₃	—	4	1	no	—
960	C₂²×D₅₃	—	4	4	no	—
961	C₂²×D₅₃	—	4	4	no	—
962	C₂²×D₅₃	—	4	4	no	—
963	C₂²×D₅₃	—	4	4	no	—
964	C₂²×D₅₃	—	4	4	no	—
965	C₂²×D₅₃	—	4	2	no	—
966	C₂²×D₅₃	—	4	4	no	—
967	C₂²×D₅₃	—	4	2	no	—
968	C₂²×D₅₃	—	4	2	no	—
969	C₂²×D₅₃	—	4	1	no	—
970	C₂²×D₅₃	—	4	1	no	—
971	C₂²×D₅₃	—	4	4	no	—
972	C₂²×D₅₃	—	4	4	no	—
973	C₂²×D₅₃	—	4	4	no	—
974	C₂²×D₅₃	—	8	8	no	—
975	C₂²×D₅₃	—	8	16	no	—
976	C₂²×D₅₃	C₂⁵	1	2	yes	—
977	C₂²×D₅₃	C₂⁵	1	4	yes	—
978	C₂²×D₅₃	C₂⁵	1	2	yes	—
979	C₂²×D₅₃	C₂⁵	1	2	yes	—
980	Q₈×C₅₃	—	4	4	no	—
981	D₄×C₅₃	—	2	8	no	—
982	D₄×C₅₃	—	2	8	no	—
983	D₄×C₅₃	—	2	8	no	—
984	D₄×C₅₃	—	2	8	no	—
985	D₄×C₅₃	—	2	4	no	—
986	D₄×C₅₃	—	2	4	no	—
987	D₄×C₅₃	—	4	4	no	—
988	D₄×C₅₃	—	4	4	no	—
989	D₄×C₅₃	—	4	2	no	—
990	D₄×C₅₃	—	4	2	no	—
991	D₄×C₅₃	—	4	4	no	—
992	D₄×C₅₃	—	4	4	no	—
993	D₄×C₅₃	—	4	4	no	—
994	D₄×C₅₃	—	4	2	no	—
995	D₄×C₅₃	—	4	2	no	—
996	C₂×C₄×C₅₃	—	2	4	no	—
997	C₂×C₄×C₅₃	—	2	4	no	—
998	C₂×C₄×C₅₃	—	2	2	no	—
999	C₂×C₄×C₅₃	—	4	1	no	—
1000	C₂×C₄×C₅₃	—	4	1	no	—
1001	C₂×C₄×C₅₃	—	4	1	no	—
1002	C₂×C₄×C₅₃	—	4	1	no	—
1003	C₂×C₄×C₅₃	—	4	1	no	—
1004	C₂×C₄×C₅₃	—	4	2	no	—
1005	C₂×C₄×C₅₃	—	4	1	no	—
1006	C₂×C₄×C₅₃	—	4	1	no	—
1007	C₂×C₄×C₅₃	—	4	1	no	—
1008	C₂×C₄×C₅₃	—	4	2	no	—
1009	C₂×C₄×C₅₃	—	4	4	no	—
1010	C₂×C₄×C₅₃	—	4	4	no	—
1011	C₂×C₄×C₅₃	—	4	4	no	—
1012	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1013	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1014	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1015	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1016	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1017	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1018	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1019	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1020	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1021	C₂²⋊D₅₃	—	2	4	no	—
1022	C₂²⋊D₅₃	—	2	8	no	—
1023	C₂²⋊D₅₃	—	2	8	no	—
1024	C₂²⋊D₅₃	—	2	4	no	—
1025	C₂²⋊D₅₃	—	4	4	no	—
1026	C₂²⋊D₅₃	—	4	4	no	—
1027	C₂²⋊D₅₃	—	4	4	no	—
1028	C₂²⋊D₅₃	—	4	4	no	—
1029	C₂²⋊D₅₃	—	4	4	no	—
1030	C₂²⋊D₅₃	—	4	4	no	—
1031	C₂²⋊D₅₃	—	4	4	no	—
1032	C₂²⋊D₅₃	—	4	4	no	—
1033	C₂²⋊D₅₃	—	4	4	no	—
1034	C₂²⋊D₅₃	—	4	4	no	—
1035	C₂²⋊D₅₃	—	4	4	no	—
1036	C₂²⋊D₅₃	—	4	4	no	—
1037	C₂²⋊D₅₃	—	4	4	no	—
1038	C₂²⋊D₅₃	—	4	4	no	—
1039	C₂²⋊D₅₃	—	4	4	no	—
1040	C₂²⋊D₅₃	—	4	4	no	—
1041	C₂²⋊D₅₃	—	4	4	no	—
1042	C₂²⋊D₅₃	—	4	4	no	—
1043	C₂²⋊D₅₃	—	4	4	no	—
1044	C₂×Dic₅₃	—	2	4	no	—
1045	C₂×Dic₅₃	—	2	2	no	—
1046	C₂×Dic₅₃	—	4	1	no	—
1047	C₂×Dic₅₃	—	4	2	no	—
1048	C₂×Dic₅₃	—	4	1	no	—
1049	C₂×Dic₅₃	—	4	1	no	—
1050	C₂×Dic₅₃	—	4	4	no	—
1051	C₂×Dic₅₃	—	4	4	no	—
1052	C₂×Dic₅₃	—	4	4	no	—
1053	C₂×Dic₅₃	—	4	4	no	—
1054	C₂×Dic₅₃	—	4	2	no	—
1055	C₂×Dic₅₃	—	4	2	no	—
1056	C₂×Dic₅₃	—	4	2	no	—
1057	C₂×Dic₅₃	—	4	4	no	—
1058	C₂×Dic₅₃	—	4	1	no	—
1059	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1060	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1061	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1062	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1063	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1064	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1065	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1066	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1067	D₂₁₂	—	4	4	no	—
1068	D₂₁₂	—	4	4	no	—
1069	D₂₁₂	—	4	2	no	—
1070	D₂₁₂	—	4	4	no	—
1071	D₂₁₂	—	4	4	no	—
1072	D₂₁₂	—	4	2	no	—
1073	D₂₁₂	—	4	4	no	—
1074	C₄×D₅₃	—	4	4	no	—
1075	C₄×D₅₃	—	4	4	no	—
1076	C₄×D₅₃	—	4	2	no	—
1077	C₄×D₅₃	—	4	2	no	—
1078	C₄×D₅₃	—	4	4	no	—
1079	C₄×D₅₃	—	4	4	no	—
1080	C₄×D₅₃	—	4	4	no	—
1081	C₄×D₅₃	—	4	4	no	—
1082	Dic₁₀₆	—	4	2	no	—
1083	Dic₁₀₆	—	4	2	no	—
1084	Dic₁₀₆	—	4	4	no	—
1085	Dic₁₀₆	—	4	4	no	—
1086	#62863	—	53	1	no	maximal, Sylow
1087	C₂²×C₅₃	—	2	1	no	—
1088	C₂²×C₅₃	—	2	1	no	—
1089	C₂²×C₅₃	—	2	1	no	—
1090	C₂²×C₅₃	—	2	1	no	—
1091	C₂²×C₅₃	—	2	1	no	—
1092	C₂²×C₅₃	—	2	1	no	—
1093	C₂²×C₅₃	—	2	4	no	—
1094	C₂²×C₅₃	—	2	4	no	—
1095	C₂²×C₅₃	—	2	2	no	—
1096	C₂²×C₅₃	—	2	4	no	—
1097	C₂²×C₅₃	—	2	4	no	—
1098	C₂²×C₅₃	—	2	4	no	—
1099	C₂²×C₅₃	—	2	2	no	—
1100	C₂²×C₅₃	—	2	2	no	—
1101	C₂²×C₅₃	—	2	4	no	—
1102	C₂²×C₅₃	—	4	4	no	—
1103	C₂²×C₅₃	—	8	4	no	—
1104	C₂²×C₅₃	—	8	2	no	—
1105	C₂²×C₅₃	—	8	4	no	—
1106	C₂²×C₅₃	—	16	4	no	—
1107	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1108	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1109	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1110	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1111	C₂×D₅₃	—	2	2	no	—
1112	C₂×D₅₃	—	2	2	no	—
1113	C₂×D₅₃	—	2	2	no	—
1114	C₂×D₅₃	—	2	4	no	—
1115	C₂×D₅₃	—	2	2	no	—
1116	C₂×D₅₃	—	2	4	no	—
1117	C₂×D₅₃	—	2	4	no	—
1118	C₂×D₅₃	—	2	2	no	—
1119	C₂×D₅₃	—	2	2	no	—
1120	C₂×D₅₃	—	2	2	no	—
1121	C₂×D₅₃	—	2	2	no	—
1122	C₂×D₅₃	—	2	2	no	—
1123	C₂×D₅₃	—	4	8	no	—
1124	C₂×D₅₃	—	8	2	no	—
1125	C₂×D₅₃	—	8	2	no	—
1126	C₂×D₅₃	—	8	2	no	—
1127	C₂×D₅₃	—	8	4	no	—
1128	C₂×D₅₃	—	8	4	no	—
1129	C₂×D₅₃	—	8	8	no	—
1130	C₂×D₅₃	—	8	8	no	—
1131	C₂×D₅₃	—	16	4	no	—
1132	C₄×C₅₃	—	2	4	no	—
1133	C₄×C₅₃	—	2	4	no	—
1134	C₄×C₅₃	—	2	2	no	—
1135	C₄×C₅₃	—	2	2	no	—
1136	C₄×C₅₃	—	2	1	no	—
1137	C₄×C₅₃	—	2	1	no	—
1138	C₄×C₅₃	—	2	1	no	—
1139	C₄×C₅₃	—	2	2	no	—
1140	C₄×C₅₃	—	2	1	no	—
1141	Dic₅₃	—	2	2	no	—
1142	Dic₅₃	—	2	4	no	—
1143	Dic₅₃	—	2	4	no	—
1144	Dic₅₃	—	2	2	no	—
1145	Dic₅₃	—	2	2	no	—
1146	Dic₅₃	—	2	2	no	—
1147	Dic₅₃	—	2	4	no	—
1148	Dic₅₃	—	2	2	no	—
1149	#3560	—	53	4	no	—
1150	#3560	—	53	2	no	—
1151	#3560	—	53	2	no	—
1152	#3558	—	53	4	no	—
1153	#3558	—	53	2	no	—
1154	#3558	—	53	2	no	—
1155	#3537	—	53	4	no	—
1156	#3537	—	53	2	no	—
1157	#3537	—	53	2	no	—
1158	#3534	—	53	4	no	—
1159	#3534	—	53	2	no	—
1160	#3534	—	53	2	no	—
1161	#3533	—	53	4	no	—
1162	#3533	—	53	4	no	—
1163	#3532	—	53	4	no	—
1164	#3532	—	53	4	no	—
1165	#3505	—	53	2	no	—
1166	#3505	—	53	1	no	—
1167	#3505	—	53	1	no	—
1168	#3496	—	53	2	no	—
1169	#3496	—	53	1	no	—
1170	#3496	D₅₃	1	1	yes	characteristic, complemented
1171	#3484	—	53	2	no	—
1172	#3484	—	53	2	no	—
1173	C₂×#538	—	53	1	no	—
1174	C₂×#538	—	53	1	no	—
1175	C₂×#534	—	53	1	no	—
1176	C₂×C₅₃	—	2	2	no	—
1177	C₂×C₅₃	—	2	2	no	—
1178	C₂×C₅₃	—	2	2	no	—
1179	C₂×C₅₃	—	4	4	no	—
1180	C₂×C₅₃	—	4	4	no	—
1181	C₂×C₅₃	—	4	2	no	—
1182	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1183	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1184	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1185	D₅₃	—	4	2	no	—
1186	D₅₃	—	4	2	no	—
1187	D₅₃	—	4	4	no	—
1188	D₅₃	—	4	2	no	—
1189	C₂×H(5,𝔽₂)	—	53	2	no	—
1190	C₂×H(5,𝔽₂)	C₂×D₅₃	1	2	yes	complemented
1191	C₂³×D₄	—	53	2	no	—
1192	#563	—	53	4	no	—
1193	#563	—	53	4	no	—
1194	#562	—	53	4	no	—
1195	#562	—	53	4	no	—
1196	#562	—	53	4	no	—
1197	#562	—	53	4	no	—
1198	H(3,𝔽₄)	—	53	4	no	—
1199	H(3,𝔽₄)	—	53	4	no	—
1200	#560	—	53	4	no	—
1201	#560	—	53	4	no	—
1202	#560	—	53	4	no	—
1203	#560	—	53	4	no	—
1204	#560	—	53	4	no	—
1205	#560	—	53	4	no	—
1206	#560	—	53	4	no	—
1207	#560	—	53	4	no	—
1208	#559	—	53	4	no	—
1209	#559	—	53	4	no	—
1210	#553	—	53	4	no	—
1211	#553	—	53	4	no	—
1212	#553	—	53	2	no	—
1213	#553	—	53	4	no	—
1214	#553	—	53	4	no	—
1215	#553	—	53	4	no	—
1216	#553	—	53	4	no	—
1217	#553	—	53	2	no	—
1218	#553	—	53	4	no	—
1219	#553	—	53	4	no	—
1220	#553	—	53	4	no	—
1221	#552	—	53	4	no	—
1222	#552	—	53	2	no	—
1223	#552	—	53	2	no	—
1224	#551	—	53	4	no	—
1225	#551	—	53	4	no	—
1226	#551	—	53	4	no	—
1227	#551	—	53	4	no	—
1228	#551	—	53	4	no	—
1229	#551	—	53	4	no	—
1230	#551	—	53	4	no	—
1231	#551	—	53	4	no	—
1232	#548	—	53	2	no	—
1233	#548	—	53	4	no	—
1234	#548	—	53	2	no	—
1235	#547	—	53	4	no	—
1236	#547	—	53	4	no	—
1237	#547	—	53	2	no	—
1238	#547	—	53	2	no	—
1239	#547	C₂×D₅₃	1	2	yes	complemented
1240	#547	C₂×D₅₃	1	2	yes	complemented
1241	#546	—	53	4	no	—
1242	#546	—	53	4	no	—
1243	#546	—	53	4	no	—
1244	#546	—	53	4	no	—
1245	#546	—	53	4	no	—
1246	#546	—	53	4	no	—
1247	#546	—	53	4	no	—
1248	#546	—	53	2	no	—
1249	#546	—	53	4	no	—
1250	#546	—	53	4	no	—
1251	#546	—	53	4	no	—
1252	#546	—	53	4	no	—
1253	#546	—	53	4	no	—
1254	#546	—	53	4	no	—
1255	#546	—	53	4	no	—
1256	#546	—	53	4	no	—
1257	#546	—	53	4	no	—
1258	#546	—	53	2	no	—
1259	#546	—	53	4	no	—
1260	#546	—	53	4	no	—
1261	#546	—	53	4	no	—
1262	#546	C₂×D₅₃	1	4	yes	complemented
1263	#546	C₂×D₅₃	1	4	yes	complemented
1264	D₄²	—	53	4	no	—
1265	D₄²	—	53	4	no	—
1266	D₄²	—	53	4	no	—
1267	D₄²	—	53	4	no	—
1268	D₄²	—	53	4	no	—
1269	D₄²	—	53	4	no	—
1270	D₄²	—	53	2	no	—
1271	D₄²	—	53	4	no	—
1272	D₄²	—	53	2	no	—
1273	D₄²	—	53	4	no	—
1274	D₄²	—	53	4	no	—
1275	D₄²	—	53	4	no	—
1276	D₄²	—	53	4	no	—
1277	D₄²	—	53	4	no	—
1278	D₄²	C₂×D₅₃	1	2	yes	complemented
1279	D₄²	C₂×D₅₃	1	2	yes	complemented
1280	#542	—	53	4	no	—
1281	#542	—	53	4	no	—
1282	#542	—	53	4	no	—
1283	#542	—	53	4	no	—
1284	#540	—	53	4	no	—
1285	#540	—	53	4	no	—
1286	#540	—	53	4	no	—
1287	#540	—	53	4	no	—
1288	#539	—	53	4	no	—
1289	#539	—	53	4	no	—
1290	#539	—	53	4	no	—
1291	#539	—	53	2	no	—
1292	#539	—	53	4	no	—
1293	#539	—	53	2	no	—
1294	#539	—	53	4	no	—
1295	#538	—	53	4	no	—
1296	#538	—	53	4	no	—
1297	#538	—	53	4	no	—
1298	#538	—	53	4	no	—
1299	#538	—	53	4	no	—
1300	#538	—	53	4	no	—
1301	#538	—	53	2	no	—
1302	#538	—	53	2	no	—
1303	#538	—	53	2	no	—
1304	#538	—	53	2	no	—
1305	#538	—	53	2	no	—
1306	#538	—	53	4	no	—
1307	#538	—	53	4	no	—
1308	#538	—	53	4	no	—
1309	#538	—	53	4	no	—
1310	#538	—	53	4	no	—
1311	#538	—	53	4	no	—
1312	#538	—	53	4	no	—
1313	#538	—	53	4	no	—
1314	#538	—	53	4	no	—
1315	#538	—	53	4	no	—
1316	#538	—	53	4	no	—
1317	#538	—	53	4	no	—
1318	#538	—	53	2	no	—
1319	#538	—	53	4	no	—
1320	#537	—	53	4	no	—
1321	#537	—	53	2	no	—
1322	#537	C₂×D₅₃	1	2	yes	complemented
1323	#535	—	53	4	no	—
1324	#535	—	53	4	no	—
1325	#535	—	53	4	no	—
1326	#535	—	53	4	no	—
1327	#535	—	53	4	no	—
1328	#535	—	53	4	no	—
1329	#534	—	53	2	no	—
1330	#534	—	53	2	no	—
1331	#534	—	53	2	no	—
1332	#534	—	53	4	no	—
1333	#534	—	53	4	no	—
1334	#534	—	53	4	no	—
1335	#534	—	53	4	no	—
1336	#534	—	53	2	no	—
1337	#534	—	53	4	no	—
1338	#534	—	53	2	no	—
1339	#534	—	53	2	no	—
1340	#534	—	53	4	no	—
1341	#534	—	53	2	no	—
1342	#534	—	53	2	no	—
1343	#534	—	53	4	no	—
1344	#534	—	53	4	no	—
1345	#534	—	53	4	no	—
1346	#534	C₂×D₅₃	1	2	yes	complemented
1347	#534	C₂×D₅₃	1	2	yes	complemented
1348	#532	—	53	4	no	—
1349	#532	—	53	2	no	—
1350	#532	C₂×D₅₃	1	2	yes	complemented
1351	#529	—	53	4	no	—
1352	#529	—	53	2	no	—
1353	#529	—	53	2	no	—
1354	C₂×#126	—	53	2	no	—
1355	C₂×#126	—	53	1	no	—
1356	C₂×#126	—	53	1	no	—
1357	C₂×#124	—	53	2	no	—
1358	C₂×#124	—	53	1	no	—
1359	C₂×#124	—	53	1	no	—
1360	#525	—	53	4	no	—
1361	#525	—	53	2	no	—
1362	#525	—	53	4	no	—
1363	#525	—	53	2	no	—
1364	#525	—	53	4	no	—
1365	C₂×#123	—	53	1	no	—
1366	C₂×#123	—	53	2	no	—
1367	C₂×#123	—	53	1	no	—
1368	C₂×#123	—	53	2	no	—
1369	C₂×#123	—	53	2	no	—
1370	C₂×C₂²⋊Q₈	—	53	1	no	—
1371	C₂×C₂²⋊Q₈	—	53	1	no	—
1372	C₂×#121	—	53	2	no	—
1373	C₂×#121	—	53	1	no	—
1374	C₂×#121	—	53	2	no	—
1375	C₂×#121	—	53	4	no	—
1376	C₂×#121	—	53	1	no	—
1377	C₂×#121	—	53	1	no	—
1378	C₂×#121	—	53	2	no	—
1379	C₂×#121	—	53	1	no	—
1380	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1381	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1382	C₂×#121	C₂×D₅₃	1	2	yes	complemented
1383	C₂×#120	—	53	2	no	—
1384	C₂×#120	—	53	2	no	—
1385	C₂×#120	—	53	1	no	—
1386	C₂×#120	—	53	4	no	—
1387	C₂×#120	—	53	4	no	—
1388	C₂×#120	—	53	2	no	—
1389	C₂×#120	—	53	1	no	—
1390	#518	—	53	2	no	—
1391	#518	—	53	2	no	—
1392	C₂×C₄×D₄	—	53	2	no	—
1393	C₂×C₄×D₄	—	53	1	no	—
1394	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1395	C₂²×C₂²⋊C₄	—	53	1	no	—
1396	C₅₃	#62863	1	1	yes	characteristic, complemented, Sylow
1397	C₂⁵	—	53	1	no	—
1398	C₂⁵	—	53	2	no	—
1399	H(5,𝔽₂)	—	4	8	no	—
1400	H(5,𝔽₂)	—	212	8	no	—
1401	C₂×#41	—	53	2	no	—
1402	C₂×#41	—	53	4	no	—
1403	C₂×#41	—	53	4	no	—
1404	C₂×#41	—	53	4	no	—
1405	C₂×#41	—	53	2	no	—
1406	C₂×#41	—	53	4	no	—
1407	C₂×#41	C₂²×D₅₃	1	4	yes	—
1408	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1409	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1410	C₂²×Q₈	—	53	1	no	—
1411	C₂²×Q₈	—	53	1	no	—
1412	C₂²×D₄	—	53	1	no	—
1413	C₂²×D₄	—	53	2	no	—
1414	C₂²×D₄	—	53	2	no	—
1415	C₂²×D₄	—	53	1	no	—
1416	C₂²×D₄	—	53	2	no	—
1417	C₂²×D₄	—	53	1	no	—
1418	C₂²×D₄	—	53	2	no	—
1419	C₂²×D₄	—	53	4	no	—
1420	C₂²×D₄	—	53	4	no	—
1421	C₂²×D₄	—	53	1	no	—
1422	C₂²×D₄	—	53	4	no	—
1423	C₂²×D₄	—	53	2	no	—
1424	C₂²×D₄	—	53	4	no	—
1425	C₂²×D₄	—	53	4	no	—
1426	C₂²×D₄	—	53	4	no	—
1427	C₂²×D₄	—	53	2	no	—
1428	C₂²×D₄	—	53	4	no	—
1429	C₂²×D₄	—	53	4	no	—
1430	C₂²×D₄	—	53	4	no	—
1431	C₂²×D₄	—	53	4	no	—
1432	C₂²×D₄	—	53	4	no	—
1433	C₂²×D₄	—	53	4	no	—
1434	C₂²×D₄	—	53	1	no	—
1435	C₂²×D₄	—	53	1	no	—
1436	C₂²×D₄	—	53	1	no	—
1437	C₂²×D₄	—	53	2	no	—
1438	C₂²×D₄	—	212	8	no	—
1439	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1440	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1441	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1442	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1443	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1444	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1445	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1446	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1447	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1448	C₂³×C₄	—	53	1	no	—
1449	C₂³×C₄	—	53	2	no	—
1450	C₂³×C₄	—	53	1	no	—
1451	C₂³×C₄	—	53	2	no	—
1452	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1453	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1454	C₄⋊Q₈	—	53	4	no	—
1455	C₄⋊Q₈	—	53	2	no	—
1456	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1457	#127	—	53	4	no	—
1458	#127	—	53	2	no	—
1459	#127	—	53	4	no	—
1460	#127	—	53	4	no	—
1461	#127	—	53	4	no	—
1462	#127	—	53	4	no	—
1463	#127	C₂²×D₅₃	1	2	yes	complemented
1464	#126	—	53	4	no	—
1465	#126	—	53	4	no	—
1466	#126	—	53	4	no	—
1467	#126	—	53	4	no	—
1468	#126	—	53	4	no	—
1469	#126	—	53	4	no	—
1470	#126	—	53	4	no	—
1471	#126	—	53	4	no	—
1472	#126	—	53	4	no	—
1473	#126	—	53	4	no	—
1474	#126	—	53	4	no	—
1475	#126	—	53	4	no	—
1476	#126	—	53	4	no	—
1477	#126	—	53	4	no	—
1478	#126	—	53	4	no	—
1479	#126	—	53	4	no	—
1480	#126	—	53	4	no	—
1481	#126	—	53	4	no	—
1482	#126	—	53	4	no	—
1483	#126	—	53	4	no	—
1484	#125	—	53	4	no	—
1485	#125	—	53	2	no	—
1486	#125	—	53	4	no	—
1487	#125	—	53	4	no	—
1488	#125	—	53	4	no	—
1489	#125	—	53	4	no	—
1490	#125	—	53	2	no	—
1491	#124	—	53	4	no	—
1492	#124	—	53	4	no	—
1493	#124	—	53	4	no	—
1494	#124	—	53	2	no	—
1495	#124	—	53	4	no	—
1496	#124	—	53	4	no	—
1497	#124	—	53	4	no	—
1498	#124	—	53	4	no	—
1499	#124	—	53	4	no	—
1500	#124	—	53	4	no	—
1501	#124	—	53	4	no	—
1502	#124	—	53	4	no	—
1503	#124	—	53	4	no	—
1504	#124	—	53	4	no	—
1505	#124	—	53	4	no	—
1506	#124	—	53	4	no	—
1507	#124	—	53	4	no	—
1508	#124	—	53	4	no	—
1509	#124	—	53	4	no	—
1510	#124	—	53	4	no	—
1511	#124	—	53	4	no	—
1512	#124	—	53	2	no	—
1513	#124	C₂²×D₅₃	1	4	yes	complemented
1514	#123	—	53	4	no	—
1515	#123	—	53	4	no	—
1516	#123	—	53	4	no	—
1517	#123	—	53	4	no	—
1518	#123	—	53	4	no	—
1519	#123	—	53	4	no	—
1520	#123	—	53	4	no	—
1521	#123	—	53	4	no	—
1522	#123	—	53	4	no	—
1523	#123	—	53	4	no	—
1524	#123	—	53	4	no	—
1525	#123	—	53	4	no	—
1526	#123	—	53	4	no	—
1527	#123	—	53	4	no	—
1528	#123	—	53	4	no	—
1529	#123	—	53	4	no	—
1530	#123	—	53	4	no	—
1531	#123	—	53	4	no	—
1532	#123	—	53	4	no	—
1533	#123	—	53	4	no	—
1534	#123	—	53	4	no	—
1535	#123	—	53	4	no	—
1536	#123	—	53	4	no	—
1537	#123	—	53	4	no	—
1538	#123	—	53	4	no	—
1539	#123	—	53	4	no	—
1540	#123	—	53	4	no	—
1541	#123	—	53	4	no	—
1542	#123	—	53	4	no	—
1543	#123	—	53	4	no	—
1544	#123	—	53	4	no	—
1545	#123	—	53	4	no	—
1546	#123	—	53	4	no	—
1547	#123	—	53	4	no	—
1548	#123	—	53	4	no	—
1549	#123	—	53	4	no	—
1550	#123	—	53	4	no	—
1551	#123	—	53	4	no	—
1552	#123	—	53	4	no	—
1553	#123	—	53	4	no	—
1554	#123	—	53	4	no	—
1555	#123	—	53	4	no	—
1556	#123	—	53	4	no	—
1557	#123	—	53	4	no	—
1558	#123	C₂²×D₅₃	1	4	yes	—
1559	#123	C₂²×D₅₃	1	4	yes	complemented
1560	#123	C₂²×D₅₃	1	4	yes	complemented
1561	#123	C₂²×D₅₃	1	4	yes	complemented
1562	C₂²⋊Q₈	—	53	4	no	—
1563	C₂²⋊Q₈	—	53	4	no	—
1564	C₂²⋊Q₈	—	53	4	no	—
1565	C₂²⋊Q₈	—	53	4	no	—
1566	C₂²⋊Q₈	—	53	2	no	—
1567	C₂²⋊Q₈	—	53	2	no	—
1568	C₂²⋊Q₈	—	53	2	no	—
1569	C₂²⋊Q₈	—	53	2	no	—
1570	C₂²⋊Q₈	—	53	2	no	—
1571	C₂²⋊Q₈	—	53	4	no	—
1572	C₂²⋊Q₈	—	53	4	no	—
1573	C₂²⋊Q₈	—	53	2	no	—
1574	C₂²⋊Q₈	—	53	4	no	—
1575	C₂²⋊Q₈	—	53	4	no	—
1576	C₂²⋊Q₈	—	53	4	no	—
1577	C₂²⋊Q₈	—	53	4	no	—
1578	C₂²⋊Q₈	—	53	4	no	—
1579	C₂²⋊Q₈	—	53	4	no	—
1580	C₂²⋊Q₈	—	53	4	no	—
1581	C₂²⋊Q₈	—	53	4	no	—
1582	C₂²⋊Q₈	—	53	4	no	—
1583	C₂²⋊Q₈	—	53	4	no	—
1584	C₂²⋊Q₈	—	53	4	no	—
1585	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1586	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1587	#121	—	53	4	no	—
1588	#121	—	53	4	no	—
1589	#121	—	53	4	no	—
1590	#121	—	53	4	no	—
1591	#121	—	53	4	no	—
1592	#121	—	53	4	no	—
1593	#121	—	53	4	no	—
1594	#121	—	53	4	no	—
1595	#121	—	53	4	no	—
1596	#121	—	53	4	no	—
1597	#121	—	53	4	no	—
1598	#121	—	53	4	no	—
1599	#121	—	53	4	no	—
1600	#121	—	53	4	no	—
1601	#121	—	53	4	no	—
1602	#121	—	53	4	no	—
1603	#121	—	53	2	no	—
1604	#121	—	53	4	no	—
1605	#121	—	53	2	no	—
1606	#121	—	53	4	no	—
1607	#121	—	53	4	no	—
1608	#121	—	53	4	no	—
1609	#121	—	53	4	no	—
1610	#121	—	53	4	no	—
1611	#121	—	53	4	no	—
1612	#121	—	53	4	no	—
1613	#121	—	53	4	no	—
1614	#121	—	53	4	no	—
1615	#121	—	53	4	no	—
1616	#121	—	53	4	no	—
1617	#121	—	53	4	no	—
1618	#121	—	53	4	no	—
1619	#121	—	53	4	no	—
1620	#121	—	53	4	no	—
1621	#121	—	53	4	no	—
1622	#121	—	53	4	no	—
1623	#121	—	53	4	no	—
1624	#121	—	53	2	no	—
1625	#121	—	53	2	no	—
1626	#121	—	53	2	no	—
1627	#121	—	53	2	no	—
1628	#121	—	53	4	no	—
1629	#121	—	53	4	no	—
1630	#121	—	53	2	no	—
1631	#121	—	53	4	no	—
1632	#121	—	53	4	no	—
1633	#121	—	53	4	no	—
1634	#121	—	53	4	no	—
1635	#121	—	53	4	no	—
1636	#121	—	53	4	no	—
1637	#121	—	53	2	no	—
1638	#121	—	53	4	no	—
1639	#121	—	53	4	no	—
1640	#121	—	53	4	no	—
1641	#121	—	53	4	no	—
1642	#121	—	53	4	no	—
1643	#121	—	53	4	no	—
1644	#121	—	53	4	no	—
1645	#121	—	53	4	no	—
1646	#121	—	53	4	no	—
1647	#121	—	53	4	no	—
1648	#121	—	53	4	no	—
1649	#121	—	53	4	no	—
1650	#121	—	53	4	no	—
1651	#121	C₂²×D₅₃	1	2	yes	—
1652	#121	C₂²×D₅₃	1	2	yes	—
1653	#121	C₂²×D₅₃	1	2	yes	—
1654	#121	C₂²×D₅₃	1	2	yes	—
1655	#121	C₂²×D₅₃	1	2	yes	—
1656	#121	C₂²×D₅₃	1	2	yes	—
1657	#121	C₂²×D₅₃	1	2	yes	complemented
1658	#121	C₂²×D₅₃	1	2	yes	complemented
1659	#121	C₂²×D₅₃	1	4	yes	complemented
1660	#121	C₂²×D₅₃	1	4	yes	complemented
1661	#121	C₂²×D₅₃	1	2	yes	complemented
1662	#121	C₂²×D₅₃	1	2	yes	complemented
1663	#121	C₂²×D₅₃	1	4	yes	complemented
1664	#121	C₂²×D₅₃	1	4	yes	complemented
1665	#121	C₂²×D₅₃	1	4	yes	complemented
1666	#120	—	53	4	no	—
1667	#120	—	53	4	no	—
1668	#120	—	53	4	no	—
1669	#120	—	53	4	no	—
1670	#120	—	53	4	no	—
1671	#120	—	53	4	no	—
1672	#120	—	53	4	no	—
1673	#120	—	53	4	no	—
1674	#120	—	53	4	no	—
1675	#120	—	53	4	no	—
1676	#120	—	53	4	no	—
1677	#120	—	53	4	no	—
1678	#120	—	53	4	no	—
1679	#120	—	53	4	no	—
1680	#120	—	53	4	no	—
1681	#120	—	53	4	no	—
1682	#120	—	53	4	no	—
1683	#120	—	53	4	no	—
1684	#120	—	53	4	no	—
1685	#120	—	53	4	no	—
1686	#120	—	53	4	no	—
1687	#120	—	53	4	no	—
1688	#120	—	53	4	no	—
1689	#120	—	53	4	no	—
1690	#120	—	53	4	no	—
1691	#120	—	53	4	no	—
1692	#120	—	53	4	no	—
1693	#120	—	53	4	no	—
1694	#120	—	53	4	no	—
1695	#120	—	53	4	no	—
1696	#120	—	53	4	no	—
1697	#120	—	53	4	no	—
1698	#120	—	53	4	no	—
1699	#120	—	53	4	no	—
1700	#120	—	53	4	no	—
1701	#120	—	53	4	no	—
1702	#120	—	53	4	no	—
1703	#120	—	53	4	no	—
1704	#120	—	53	4	no	—
1705	#120	—	53	4	no	—
1706	#120	C₂²×D₅₃	1	4	yes	—
1707	#120	C₂²×D₅₃	1	4	yes	complemented
1708	#120	C₂²×D₅₃	1	4	yes	complemented
1709	#120	C₂²×D₅₃	1	4	yes	complemented
1710	C₄×Q₈	—	53	4	no	—
1711	C₄×Q₈	—	53	2	no	—
1712	C₄×Q₈	—	53	2	no	—
1713	C₄×D₄	—	53	4	no	—
1714	C₄×D₄	—	53	4	no	—
1715	C₄×D₄	—	53	4	no	—
1716	C₄×D₄	—	53	4	no	—
1717	C₄×D₄	—	53	4	no	—
1718	C₄×D₄	—	53	4	no	—
1719	C₄×D₄	—	53	4	no	—
1720	C₄×D₄	—	53	4	no	—
1721	C₄×D₄	—	53	4	no	—
1722	C₄×D₄	—	53	2	no	—
1723	C₄×D₄	—	53	2	no	—
1724	C₄×D₄	—	53	2	no	—
1725	C₄×D₄	—	53	2	no	—
1726	C₄×D₄	—	53	2	no	—
1727	C₄×D₄	—	53	2	no	—
1728	C₄×D₄	—	53	4	no	—
1729	C₄×D₄	—	53	4	no	—
1730	C₄×D₄	—	53	4	no	—
1731	C₄×D₄	—	53	4	no	—
1732	C₄×D₄	—	53	4	no	—
1733	C₄×D₄	—	53	4	no	—
1734	C₄×D₄	—	53	4	no	—
1735	C₄×D₄	—	53	4	no	—
1736	C₄×D₄	—	53	4	no	—
1737	C₄×D₄	—	53	4	no	—
1738	C₄×D₄	—	53	4	no	—
1739	C₄×D₄	—	53	4	no	—
1740	C₄×D₄	—	53	4	no	—
1741	C₄×D₄	—	53	2	no	—
1742	C₄×D₄	—	53	4	no	—
1743	C₄×D₄	—	53	4	no	—
1744	C₄×D₄	—	53	4	no	—
1745	C₄×D₄	—	53	4	no	—
1746	C₄×D₄	—	53	4	no	—
1747	C₄×D₄	—	53	4	no	—
1748	C₄×D₄	—	53	4	no	—
1749	C₄×D₄	—	53	4	no	—
1750	C₄×D₄	—	53	2	no	—
1751	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1752	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1753	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1754	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1755	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1756	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1757	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1758	#117	—	53	4	no	—
1759	#117	—	53	2	no	—
1760	#117	—	53	2	no	—
1761	#117	—	53	4	no	—
1762	#117	—	53	4	no	—
1763	#117	—	53	4	no	—
1764	#117	—	53	4	no	—
1765	#117	—	53	4	no	—
1766	#117	—	53	4	no	—
1767	C₂×C₄⋊C₄	—	53	1	no	—
1768	C₂×C₄⋊C₄	—	53	2	no	—
1769	C₂×C₄⋊C₄	—	53	2	no	—
1770	C₂×C₄⋊C₄	—	53	1	no	—
1771	C₂×C₄⋊C₄	—	53	1	no	—
1772	C₂×C₄⋊C₄	—	53	2	no	—
1773	C₂×C₄⋊C₄	—	53	1	no	—
1774	C₂×C₄⋊C₄	—	53	1	no	—
1775	C₂×C₄⋊C₄	—	53	4	no	—
1776	C₂×C₄⋊C₄	—	53	1	no	—
1777	C₂×C₄⋊C₄	—	53	1	no	—
1778	C₂×C₄⋊C₄	—	53	2	no	—
1779	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1780	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1781	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1782	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1783	C₂×C₂²⋊C₄	—	53	2	no	—
1784	C₂×C₂²⋊C₄	—	53	1	no	—
1785	C₂×C₂²⋊C₄	—	53	2	no	—
1786	C₂×C₂²⋊C₄	—	53	4	no	—
1787	C₂×C₂²⋊C₄	—	53	2	no	—
1788	C₂×C₂²⋊C₄	—	53	1	no	—
1789	C₂×C₂²⋊C₄	—	53	4	no	—
1790	C₂×C₂²⋊C₄	—	53	2	no	—
1791	C₂×C₂²⋊C₄	—	53	2	no	—
1792	C₂×C₂²⋊C₄	—	53	2	no	—
1793	C₂×C₂²⋊C₄	—	53	1	no	—
1794	C₂×C₂²⋊C₄	—	53	1	no	—
1795	C₂×C₂²⋊C₄	—	53	2	no	—
1796	C₂×C₂²⋊C₄	—	53	1	no	—
1797	C₂×C₂²⋊C₄	—	53	1	no	—
1798	C₂×C₂²⋊C₄	—	53	1	no	—
1799	C₂×C₂²⋊C₄	—	53	2	no	—
1800	C₂×C₂²⋊C₄	—	53	2	no	—
1801	C₂×C₂²⋊C₄	—	53	1	no	—
1802	C₂×C₂²⋊C₄	—	53	2	no	—
1803	C₂×C₂²⋊C₄	—	53	1	no	—
1804	C₂×C₂²⋊C₄	—	53	1	no	—
1805	C₂×C₂²⋊C₄	—	53	2	no	—
1806	C₂×C₂²⋊C₄	—	53	1	no	—
1807	C₂×C₂²⋊C₄	—	53	4	no	—
1808	C₂×C₂²⋊C₄	—	53	4	no	—
1809	C₂×C₂²⋊C₄	—	53	1	no	—
1810	C₂×C₂²⋊C₄	—	53	4	no	—
1811	C₂×C₂²⋊C₄	—	53	4	no	—
1812	C₂×C₂²⋊C₄	—	53	4	no	—
1813	C₂×C₂²⋊C₄	—	53	4	no	—
1814	C₂×C₂²⋊C₄	—	53	4	no	—
1815	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1816	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1817	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1818	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1819	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1820	C₂×C₄²	—	53	1	no	—
1821	C₂×C₄²	—	53	2	no	—
1822	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1823	C₂⁴	—	53	1	no	—
1824	C₂⁴	—	53	1	no	—
1825	C₂⁴	—	53	2	no	—
1826	C₂⁴	—	53	2	no	—
1827	C₂⁴	—	53	2	no	—
1828	C₂⁴	—	53	1	no	—
1829	C₂⁴	—	53	4	no	—
1830	C₂⁴	—	53	4	no	—
1831	C₂⁴	—	53	4	no	—
1832	C₂⁴	—	106	4	no	—
1833	C₂⁴	—	424	1	no	—
1834	C₂⁴	—	424	1	no	—
1835	C₂⁴	—	424	2	no	—
1836	C₂⁴	—	424	2	no	—
1837	C₂⁴	—	212	4	no	—
1838	C₂⁴	C₂³×D₅₃	1	2	yes	—
1839	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1840	C₂⁴	C₂³×D₅₃	1	2	yes	—
1841	C₂⁴	C₂³×D₅₃	1	4	yes	—
1842	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1843	#41	—	4	8	no	—
1844	#41	—	4	8	no	—
1845	#41	—	4	8	no	—
1846	#41	—	424	2	no	—
1847	#41	—	424	2	no	—
1848	#41	—	424	4	no	—
1849	#41	—	212	8	no	—
1850	#41	—	212	8	no	—
1851	#41	—	212	8	no	—
1852	C₂×Q₈	—	53	2	no	—
1853	C₂×Q₈	—	53	2	no	—
1854	C₂×Q₈	—	53	4	no	—
1855	C₂×Q₈	—	53	4	no	—
1856	C₂×Q₈	—	424	1	no	—
1857	C₂×Q₈	—	424	1	no	—
1858	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1859	C₂×D₄	—	2	8	no	—
1860	C₂×D₄	—	2	4	no	—
1861	C₂×D₄	—	2	8	no	—
1862	C₂×D₄	—	4	8	no	—
1863	C₂×D₄	—	4	8	no	—
1864	C₂×D₄	—	4	8	no	—
1865	C₂×D₄	—	8	1	no	—
1866	C₂×D₄	—	8	1	no	—
1867	C₂×D₄	—	8	2	no	—
1868	C₂×D₄	—	53	2	no	—
1869	C₂×D₄	—	53	2	no	—
1870	C₂×D₄	—	53	4	no	—
1871	C₂×D₄	—	53	4	no	—
1872	C₂×D₄	—	53	4	no	—
1873	C₂×D₄	—	53	4	no	—
1874	C₂×D₄	—	53	4	no	—
1875	C₂×D₄	—	53	4	no	—
1876	C₂×D₄	—	53	4	no	—
1877	C₂×D₄	—	53	4	no	—
1878	C₂×D₄	—	53	4	no	—
1879	C₂×D₄	—	53	4	no	—
1880	C₂×D₄	—	53	4	no	—
1881	C₂×D₄	—	53	4	no	—
1882	C₂×D₄	—	53	4	no	—
1883	C₂×D₄	—	53	4	no	—
1884	C₂×D₄	—	53	4	no	—
1885	C₂×D₄	—	53	4	no	—
1886	C₂×D₄	—	53	4	no	—
1887	C₂×D₄	—	53	4	no	—
1888	C₂×D₄	—	53	4	no	—
1889	C₂×D₄	—	53	4	no	—
1890	C₂×D₄	—	53	4	no	—
1891	C₂×D₄	—	53	2	no	—
1892	C₂×D₄	—	53	4	no	—
1893	C₂×D₄	—	53	2	no	—
1894	C₂×D₄	—	53	4	no	—
1895	C₂×D₄	—	53	4	no	—
1896	C₂×D₄	—	53	4	no	—
1897	C₂×D₄	—	53	4	no	—
1898	C₂×D₄	—	106	8	no	—
1899	C₂×D₄	—	106	4	no	—
1900	C₂×D₄	—	424	1	no	—
1901	C₂×D₄	—	424	1	no	—
1902	C₂×D₄	—	424	1	no	—
1903	C₂×D₄	—	424	2	no	—
1904	C₂×D₄	—	424	4	no	—
1905	C₂×D₄	—	424	4	no	—
1906	C₂×D₄	—	424	1	no	—
1907	C₂×D₄	—	424	2	no	—
1908	C₂×D₄	—	424	1	no	—
1909	C₂×D₄	—	424	4	no	—
1910	C₂×D₄	—	424	2	no	—
1911	C₂×D₄	—	424	2	no	—
1912	C₂×D₄	—	424	1	no	—
1913	C₂×D₄	—	424	4	no	—
1914	C₂×D₄	—	424	4	no	—
1915	C₂×D₄	—	212	4	no	—
1916	C₂×D₄	—	212	4	no	—
1917	C₂×D₄	—	212	8	no	—
1918	C₂×D₄	—	212	8	no	—
1919	C₂×D₄	—	212	8	no	—
1920	C₂×D₄	—	212	8	no	—
1921	C₂×D₄	—	212	8	no	—
1922	C₂×D₄	—	212	8	no	—
1923	C₂×D₄	—	212	8	no	—
1924	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1925	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1926	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1927	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1928	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1929	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1930	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1931	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1932	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1933	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1934	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1935	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1936	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1937	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1938	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1939	C₂²×C₄	—	8	1	no	—
1940	C₂²×C₄	—	8	1	no	—
1941	C₂²×C₄	—	53	1	no	—
1942	C₂²×C₄	—	53	2	no	—
1943	C₂²×C₄	—	53	1	no	—
1944	C₂²×C₄	—	53	2	no	—
1945	C₂²×C₄	—	53	2	no	—
1946	C₂²×C₄	—	53	1	no	—
1947	C₂²×C₄	—	53	2	no	—
1948	C₂²×C₄	—	53	1	no	—
1949	C₂²×C₄	—	53	1	no	—
1950	C₂²×C₄	—	53	2	no	—
1951	C₂²×C₄	—	53	4	no	—
1952	C₂²×C₄	—	53	4	no	—
1953	C₂²×C₄	—	53	4	no	—
1954	C₂²×C₄	—	53	4	no	—
1955	C₂²×C₄	—	53	4	no	—
1956	C₂²×C₄	—	53	4	no	—
1957	C₂²×C₄	—	53	4	no	—
1958	C₂²×C₄	—	53	2	no	—
1959	C₂²×C₄	—	53	4	no	—
1960	C₂²×C₄	—	53	4	no	—
1961	C₂²×C₄	—	53	2	no	—
1962	C₂²×C₄	—	53	4	no	—
1963	C₂²×C₄	—	53	4	no	—
1964	C₂²×C₄	—	424	1	no	—
1965	C₂²×C₄	—	424	1	no	—
1966	C₂²×C₄	—	424	2	no	—
1967	C₂²×C₄	—	212	4	no	—
1968	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1969	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1970	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1971	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1972	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1973	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1974	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1975	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1976	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1977	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1978	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1979	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1980	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1981	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1982	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1983	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1984	C₄⋊C₄	—	53	4	no	—
1985	C₄⋊C₄	—	53	4	no	—
1986	C₄⋊C₄	—	53	2	no	—
1987	C₄⋊C₄	—	53	4	no	—
1988	C₄⋊C₄	—	53	4	no	—
1989	C₄⋊C₄	—	53	4	no	—
1990	C₄⋊C₄	—	53	4	no	—
1991	C₄⋊C₄	—	53	4	no	—
1992	C₄⋊C₄	—	53	4	no	—
1993	C₄⋊C₄	—	53	4	no	—
1994	C₄⋊C₄	—	53	4	no	—
1995	C₄⋊C₄	—	53	2	no	—
1996	C₄⋊C₄	—	53	2	no	—
1997	C₄⋊C₄	—	53	4	no	—
1998	C₄⋊C₄	—	53	2	no	—
1999	C₄⋊C₄	—	53	2	no	—
2000	C₄⋊C₄	—	53	4	no	—
2001	C₄⋊C₄	—	53	2	no	—
2002	C₄⋊C₄	—	53	4	no	—
2003	C₄⋊C₄	—	53	4	no	—
2004	C₄⋊C₄	—	53	4	no	—
2005	C₄⋊C₄	—	53	4	no	—
2006	C₄⋊C₄	—	53	4	no	—
2007	C₄⋊C₄	—	53	4	no	—
2008	C₄⋊C₄	—	53	4	no	—
2009	C₄⋊C₄	—	53	4	no	—
2010	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2011	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2012	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2013	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2014	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2015	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2016	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2017	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2018	C₂²⋊C₄	—	53	2	no	—
2019	C₂²⋊C₄	—	53	4	no	—
2020	C₂²⋊C₄	—	53	4	no	—
2021	C₂²⋊C₄	—	53	4	no	—
2022	C₂²⋊C₄	—	53	4	no	—
2023	C₂²⋊C₄	—	53	4	no	—
2024	C₂²⋊C₄	—	53	4	no	—
2025	C₂²⋊C₄	—	53	4	no	—
2026	C₂²⋊C₄	—	53	4	no	—
2027	C₂²⋊C₄	—	53	4	no	—
2028	C₂²⋊C₄	—	53	2	no	—
2029	C₂²⋊C₄	—	53	4	no	—
2030	C₂²⋊C₄	—	53	4	no	—
2031	C₂²⋊C₄	—	53	4	no	—
2032	C₂²⋊C₄	—	53	4	no	—
2033	C₂²⋊C₄	—	53	4	no	—
2034	C₂²⋊C₄	—	53	4	no	—
2035	C₂²⋊C₄	—	53	2	no	—
2036	C₂²⋊C₄	—	53	2	no	—
2037	C₂²⋊C₄	—	53	2	no	—
2038	C₂²⋊C₄	—	53	2	no	—
2039	C₂²⋊C₄	—	53	2	no	—
2040	C₂²⋊C₄	—	53	2	no	—
2041	C₂²⋊C₄	—	53	2	no	—
2042	C₂²⋊C₄	—	53	2	no	—
2043	C₂²⋊C₄	—	53	4	no	—
2044	C₂²⋊C₄	—	53	4	no	—
2045	C₂²⋊C₄	—	53	4	no	—
2046	C₂²⋊C₄	—	53	4	no	—
2047	C₂²⋊C₄	—	53	4	no	—
2048	C₂²⋊C₄	—	53	4	no	—
2049	C₂²⋊C₄	—	53	4	no	—
2050	C₂²⋊C₄	—	53	4	no	—
2051	C₂²⋊C₄	—	53	4	no	—
2052	C₂²⋊C₄	—	53	4	no	—
2053	C₂²⋊C₄	—	53	4	no	—
2054	C₂²⋊C₄	—	53	4	no	—
2055	C₂²⋊C₄	—	53	4	no	—
2056	C₂²⋊C₄	—	53	4	no	—
2057	C₂²⋊C₄	—	53	4	no	—
2058	C₂²⋊C₄	—	53	4	no	—
2059	C₂²⋊C₄	—	53	4	no	—
2060	C₂²⋊C₄	—	53	4	no	—
2061	C₂²⋊C₄	—	53	4	no	—
2062	C₂²⋊C₄	—	53	4	no	—
2063	C₂²⋊C₄	—	53	2	no	—
2064	C₂²⋊C₄	—	53	2	no	—
2065	C₂²⋊C₄	—	53	4	no	—
2066	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2067	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2068	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2069	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2070	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2071	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2072	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2073	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2074	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2075	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2076	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2077	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2078	C₄²	—	53	4	no	—
2079	C₄²	—	53	2	no	—
2080	C₄²	—	53	4	no	—
2081	C₄²	—	53	2	no	—
2082	C₄²	—	53	4	no	—
2083	C₄²	—	53	4	no	—
2084	C₄²	—	53	4	no	—
2085	C₄²	—	53	4	no	—
2086	C₄²	C₂³×D₅₃	1	2	yes	—
2087	C₄²	C₂³×D₅₃	1	2	yes	—
2088	C₂³	—	2	2	no	—
2089	C₂³	—	2	4	no	—
2090	C₂³	—	2	4	no	—
2091	C₂³	—	4	1	no	—
2092	C₂³	—	4	1	no	—
2093	C₂³	—	4	1	no	—
2094	C₂³	—	4	2	no	—
2095	C₂³	—	4	2	no	—
2096	C₂³	—	4	2	no	—
2097	C₂³	—	4	1	no	—
2098	C₂³	—	4	2	no	—
2099	C₂³	—	4	4	no	—
2100	C₂³	—	4	4	no	—
2101	C₂³	—	4	4	no	—
2102	C₂³	—	53	2	no	—
2103	C₂³	—	53	2	no	—
2104	C₂³	—	53	4	no	—
2105	C₂³	—	53	2	no	—
2106	C₂³	—	106	2	no	—
2107	C₂³	—	106	4	no	—
2108	C₂³	—	106	4	no	—
2109	C₂³	—	106	2	no	—
2110	C₂³	—	106	2	no	—
2111	C₂³	—	106	4	no	—
2112	C₂³	—	424	8	no	—
2113	C₂³	—	424	16	no	—
2114	C₂³	—	212	4	no	—
2115	C₂³	—	212	4	no	—
2116	C₂³	—	212	4	no	—
2117	C₂³	—	212	1	no	—
2118	C₂³	—	212	1	no	—
2119	C₂³	—	212	1	no	—
2120	C₂³	—	212	1	no	—
2121	C₂³	—	212	2	no	—
2122	C₂³	—	212	2	no	—
2123	C₂³	—	212	1	no	—
2124	C₂³	—	212	1	no	—
2125	C₂³	—	212	2	no	—
2126	C₂³	—	212	2	no	—
2127	C₂³	—	212	4	no	—
2128	C₂³	—	212	4	no	—
2129	C₂³	—	212	4	no	—
2130	C₂³	—	212	4	no	—
2131	C₂³	—	212	4	no	—
2132	C₂³	—	212	4	no	—
2133	C₂³	—	212	2	no	—
2134	C₂³	—	212	2	no	—
2135	C₂³	#13133262	1	4	yes	—
2136	C₂³	C₂⁴×D₅₃	1	4	yes	—
2137	C₂³	C₂⁴×D₅₃	1	2	yes	—
2138	C₂³	C₂⁴×D₅₃	1	4	yes	—
2139	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2140	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2141	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2142	Q₈	—	4	4	no	—
2143	Q₈	—	212	2	no	—
2144	Q₈	—	212	2	no	—
2145	Q₈	—	212	4	no	—
2146	Q₈	—	212	4	no	—
2147	D₄	—	2	4	no	—
2148	D₄	—	2	4	no	—
2149	D₄	—	2	8	no	—
2150	D₄	—	2	8	no	—
2151	D₄	—	2	8	no	—
2152	D₄	—	2	8	no	—
2153	D₄	—	4	4	no	—
2154	D₄	—	4	4	no	—
2155	D₄	—	4	4	no	—
2156	D₄	—	4	2	no	—
2157	D₄	—	4	2	no	—
2158	D₄	—	4	4	no	—
2159	D₄	—	4	2	no	—
2160	D₄	—	4	2	no	—
2161	D₄	—	4	4	no	—
2162	D₄	—	106	8	no	—
2163	D₄	—	106	8	no	—
2164	D₄	—	106	4	no	—
2165	D₄	—	106	4	no	—
2166	D₄	—	212	4	no	—
2167	D₄	—	212	2	no	—
2168	D₄	—	212	4	no	—
2169	D₄	—	212	2	no	—
2170	D₄	—	212	4	no	—
2171	D₄	—	212	4	no	—
2172	D₄	—	212	4	no	—
2173	D₄	—	212	4	no	—
2174	D₄	—	212	4	no	—
2175	D₄	—	212	4	no	—
2176	D₄	—	212	4	no	—
2177	D₄	—	212	4	no	—
2178	D₄	—	212	4	no	—
2179	D₄	—	212	4	no	—
2180	D₄	—	212	4	no	—
2181	D₄	—	212	4	no	—
2182	D₄	—	212	4	no	—
2183	D₄	—	212	4	no	—
2184	D₄	—	212	4	no	—
2185	D₄	—	212	4	no	—
2186	D₄	—	212	4	no	—
2187	D₄	—	212	4	no	—
2188	D₄	—	212	4	no	—
2189	D₄	—	212	4	no	—
2190	D₄	—	212	4	no	—
2191	D₄	—	212	4	no	—
2192	C₂×C₄	—	2	4	no	—
2193	C₂×C₄	—	2	2	no	—
2194	C₂×C₄	—	2	4	no	—
2195	C₂×C₄	—	4	1	no	—
2196	C₂×C₄	—	4	1	no	—
2197	C₂×C₄	—	4	1	no	—
2198	C₂×C₄	—	4	2	no	—
2199	C₂×C₄	—	4	1	no	—
2200	C₂×C₄	—	4	1	no	—
2201	C₂×C₄	—	4	1	no	—
2202	C₂×C₄	—	4	1	no	—
2203	C₂×C₄	—	4	2	no	—
2204	C₂×C₄	—	4	4	no	—
2205	C₂×C₄	—	4	4	no	—
2206	C₂×C₄	—	4	4	no	—
2207	C₂×C₄	—	4	1	no	—
2208	C₂×C₄	—	53	4	no	—
2209	C₂×C₄	—	53	2	no	—
2210	C₂×C₄	—	53	2	no	—
2211	C₂×C₄	—	53	2	no	—
2212	C₂×C₄	—	53	4	no	—
2213	C₂×C₄	—	53	2	no	—
2214	C₂×C₄	—	53	2	no	—
2215	C₂×C₄	—	53	4	no	—
2216	C₂×C₄	—	106	4	no	—
2217	C₂×C₄	—	106	2	no	—
2218	C₂×C₄	—	212	2	no	—
2219	C₂×C₄	—	212	2	no	—
2220	C₂×C₄	—	212	4	no	—
2221	C₂×C₄	—	212	4	no	—
2222	C₂×C₄	—	212	4	no	—
2223	C₂×C₄	—	212	4	no	—
2224	C₂×C₄	—	212	4	no	—
2225	C₂×C₄	—	212	4	no	—
2226	C₂×C₄	—	212	2	no	—
2227	C₂×C₄	—	212	1	no	—
2228	C₂×C₄	—	212	1	no	—
2229	C₂×C₄	—	212	2	no	—
2230	C₂×C₄	—	212	4	no	—
2231	C₂×C₄	—	212	2	no	—
2232	C₂×C₄	—	212	1	no	—
2233	C₂×C₄	—	212	4	no	—
2234	C₂×C₄	—	212	2	no	—
2235	C₂×C₄	—	212	1	no	—
2236	C₂×C₄	—	212	4	no	—
2237	C₂×C₄	—	212	4	no	—
2238	C₂×C₄	—	212	4	no	—
2239	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2240	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2241	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2242	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2243	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2244	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2245	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2246	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2247	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2248	C₂²	—	2	1	no	—
2249	C₂²	—	2	1	no	—
2250	C₂²	—	2	1	no	—
2251	C₂²	—	2	1	no	—
2252	C₂²	—	2	1	no	—
2253	C₂²	—	2	1	no	—
2254	C₂²	—	2	2	no	—
2255	C₂²	—	2	4	no	—
2256	C₂²	—	2	4	no	—
2257	C₂²	—	2	2	no	—
2258	C₂²	—	2	4	no	—
2259	C₂²	—	2	4	no	—
2260	C₂²	—	2	4	no	—
2261	C₂²	—	2	4	no	—
2262	C₂²	—	2	2	no	—
2263	C₂²	—	4	4	no	—
2264	C₂²	—	8	4	no	—
2265	C₂²	—	8	4	no	—
2266	C₂²	—	8	2	no	—
2267	C₂²	—	16	4	no	—
2268	C₂²	—	848	4	no	—
2269	C₂²	—	106	2	no	—
2270	C₂²	—	106	2	no	—
2271	C₂²	—	106	2	no	—
2272	C₂²	—	106	4	no	—
2273	C₂²	—	106	2	no	—
2274	C₂²	—	106	4	no	—
2275	C₂²	—	106	2	no	—
2276	C₂²	—	106	2	no	—
2277	C₂²	—	106	4	no	—
2278	C₂²	—	106	2	no	—
2279	C₂²	—	106	2	no	—
2280	C₂²	—	106	2	no	—
2281	C₂²	—	424	4	no	—
2282	C₂²	—	424	4	no	—
2283	C₂²	—	424	2	no	—
2284	C₂²	—	424	2	no	—
2285	C₂²	—	424	2	no	—
2286	C₂²	—	424	8	no	—
2287	C₂²	—	424	8	no	—
2288	C₂²	—	212	8	no	—
2289	C₂²	C₂×#13133262	1	2	yes	—
2290	C₂²	C₂×#13133262	1	2	yes	—
2291	C₂²	C₂×#13133262	1	2	yes	—
2292	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2293	C₄	—	2	2	no	—
2294	C₄	—	2	4	no	—
2295	C₄	—	2	4	no	—
2296	C₄	—	2	1	no	—
2297	C₄	—	2	1	no	—
2298	C₄	—	2	1	no	—
2299	C₄	—	2	2	no	—
2300	C₄	—	2	1	no	—
2301	C₄	—	2	2	no	—
2302	C₄	—	106	4	no	—
2303	C₄	—	106	2	no	—
2304	C₄	—	106	2	no	—
2305	C₄	—	106	4	no	—
2306	C₄	—	106	4	no	—
2307	C₄	—	106	2	no	—
2308	C₄	—	106	2	no	—
2309	C₄	—	106	2	no	—
2310	C₂	—	2	2	no	—
2311	C₂	—	2	2	no	—
2312	C₂	—	2	2	no	—
2313	C₂	—	4	2	no	—
2314	C₂	—	4	4	no	—
2315	C₂	—	4	4	no	—
2316	C₂	—	212	2	no	—
2317	C₂	—	212	4	no	—
2318	C₂	—	212	2	no	—
2319	C₂	—	212	2	no	—
2320	C₂	C₂²×#13133262	1	1	yes	characteristic
2321	C₂	#20289525	1	1	yes	characteristic
2322	C₂	#20289526	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3496	C₂
hypercenter	#3496	D₅₃
hypocenter	C₅₃	#62863
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. #20289271	C₂	semidirect
2. #20289264	C₂	semidirect
3. #20289263	C₂	semidirect
4. #20289238	C₂	semidirect
5. #20289227	C₂	semidirect
6. #20289225	C₂	semidirect
7. #20288952	C₂	semidirect
8. #20288950	C₂	semidirect
9. #20288945	C₂	semidirect
10. #20288905	C₂	semidirect
11. #20288901	C₂	semidirect
12. #20288894	C₂	semidirect
13. #20288885	C₂	semidirect
14. #20288874	C₂	semidirect
15. #20288865	C₂	semidirect
16. #20288864	C₂	semidirect
17. #20288554	C₂	semidirect
18. #20288552	C₂	semidirect
19. #20288549	C₂	semidirect
20. #20288474	C₂	semidirect
21. #20288472	C₂	semidirect
22. #20288347	C₂	semidirect
23. #20288346	C₂	semidirect
24. C₂×#16811210	C₂	semidirect
25. C₂×#16811206	C₂	semidirect
26. C₂×#16811181	C₂	semidirect
27. C₅₃×#3496	C₂	semidirect
28. C₂×#13133262	C₂²	semidirect
29. C₂²×D₄×D₅₃	C₂²	semidirect
30. #16811374	C₂²	semidirect
31. #16811372	C₂²	semidirect
32. #16811370	C₂²	semidirect
33. #16811369	C₂²	semidirect
34. #16811368	C₂²	semidirect
35. #16811367	C₂²	semidirect
36. #16811366	C₂²	semidirect
37. #16811365	C₂²	semidirect
38. #16811363	C₂²	semidirect
39. #16811362	C₂²	semidirect
40. #16811361	C₂²	semidirect
41. #16811361	C₂²	semidirect
42. #16811361	C₂²	semidirect
43. #16811361	C₂²	semidirect
44. #16811361	C₂²	semidirect
45. #16811360	C₂²	semidirect
46. #16811357	C₂²	semidirect
47. #16811356	C₂²	semidirect
48. #16811325	C₂²	semidirect
49. #16811325	C₂²	semidirect
50. #16811322	C₂²	semidirect
51. #16811322	C₂²	semidirect
52. #16811321	C₂²	semidirect
53. #16811319	C₂²	semidirect
54. #16811318	C₂²	semidirect
55. #16811316	C₂²	semidirect
56. #16811316	C₂²	semidirect
57. #16811316	C₂²	semidirect
58. #16811316	C₂²	semidirect
59. #16811313	C₂²	semidirect
60. #16811310	C₂²	semidirect
61. #16811308	C₂²	semidirect
62. #16811304	C₂²	semidirect
63. #16811302	C₂²	semidirect
64. #16811302	C₂²	semidirect
65. #16811300	C₂²	semidirect
66. #16811300	C₂²	semidirect
67. #16811299	C₂²	semidirect
68. #16811299	C₂²	semidirect
69. #16811296	C₂²	semidirect
70. #16811282	C₂²	semidirect
71. #16811279	C₂²	semidirect
72. #16811279	C₂²	semidirect
73. #16811274	C₂²	semidirect
74. #16811273	C₂²	semidirect
75. #16811272	C₂²	semidirect
76. #16811272	C₂²	semidirect
77. #16811269	C₂²	semidirect
78. #16811268	C₂²	semidirect
79. #16811267	C₂²	semidirect
80. #16811267	C₂²	semidirect
81. #16811267	C₂²	semidirect
82. #16811265	C₂²	semidirect
83. #16811265	C₂²	semidirect
84. #16811263	C₂²	semidirect
85. #16811263	C₂²	semidirect
86. #16811262	C₂²	semidirect
87. #16811262	C₂²	semidirect
88. #16811262	C₂²	semidirect
89. #16811262	C₂²	semidirect
90. #16811261	C₂²	semidirect
91. #16811261	C₂²	semidirect
92. #16811261	C₂²	semidirect
93. #16811261	C₂²	semidirect
94. #16811261	C₂²	semidirect
95. #16811261	C₂²	semidirect
96. #16811260	C₂²	semidirect
97. #16811260	C₂²	semidirect
98. #16811257	C₂²	semidirect
99. #16811257	C₂²	semidirect
100. #16811257	C₂²	semidirect
101. D₄×C₂²⋊D₅₃	C₂²	semidirect
102. D₄×C₂²⋊D₅₃	C₂²	semidirect
103. D₄×C₂²⋊D₅₃	C₂²	semidirect
104. D₄×C₂²⋊D₅₃	C₂²	semidirect
105. D₄×C₂²⋊D₅₃	C₂²	semidirect
106. D₄×C₂²⋊D₅₃	C₂²	semidirect
107. D₄×C₂²⋊D₅₃	C₂²	semidirect
108. D₄×C₂²⋊D₅₃	C₂²	semidirect
109. #16811255	C₂²	semidirect
110. #16811255	C₂²	semidirect
111. #16811255	C₂²	semidirect
112. #16811247	C₂²	semidirect
113. #16811243	C₂²	semidirect
114. #16811241	C₂²	semidirect
115. #16811237	C₂²	semidirect
116. #16811226	C₂²	semidirect
117. #16811225	C₂²	semidirect
118. #16811223	C₂²	semidirect
119. #16811223	C₂²	semidirect
120. #16811222	C₂²	semidirect
121. #16811220	C₂²	semidirect
122. #16811220	C₂²	semidirect
123. #16811219	C₂²	semidirect
124. #16811218	C₂²	semidirect
125. #16811217	C₂²	semidirect
126. #16811215	C₂²	semidirect
127. #16811213	C₂²	semidirect
128. #16811211	C₂²	semidirect
129. #16811211	C₂²	semidirect
130. #16811210	C₂²	semidirect
131. #16811210	C₂²	semidirect
132. #16811210	C₂²	semidirect
133. #16811210	C₂²	semidirect
134. #16811210	C₂²	semidirect
135. #16811210	C₂²	semidirect
136. #16811210	C₂²	semidirect
137. #16811210	C₂²	semidirect
138. #16811209	C₂²	semidirect
139. #16811209	C₂²	semidirect
140. #16811208	C₂²	semidirect
141. #16811208	C₂²	semidirect
142. #16811207	C₂²	semidirect
143. #16811206	C₂²	semidirect
144. #16811206	C₂²	semidirect
145. #16811206	C₂²	semidirect
146. #16811206	C₂²	semidirect
147. #16811206	C₂²	semidirect
148. #16811206	C₂²	semidirect
149. #16811206	C₂²	semidirect
150. #16811205	C₂²	semidirect
151. #16811205	C₂²	semidirect
152. #16811201	C₂²	semidirect
153. #16811200	C₂²	semidirect
154. #16811189	C₂²	semidirect
155. #16811188	C₂²	semidirect
156. #16811188	C₂²	semidirect
157. #16811188	C₂²	semidirect
158. #16811187	C₂²	semidirect
159. #16811186	C₂²	semidirect
160. #16811185	C₂²	semidirect
161. #16811184	C₂²	semidirect
162. #16811183	C₂²	semidirect
163. #16811182	C₂²	semidirect
164. #16811182	C₂²	semidirect
165. #16811182	C₂²	semidirect
166. #16811182	C₂²	semidirect
167. #16811182	C₂²	semidirect
168. #16811182	C₂²	semidirect
169. #16811181	C₂²	semidirect
170. #16811181	C₂²	semidirect
171. #16811181	C₂²	semidirect
172. #16811181	C₂²	semidirect
173. #16811181	C₂²	semidirect
174. #16811181	C₂²	semidirect
175. #16811181	C₂²	semidirect
176. #16811181	C₂²	semidirect
177. #16811169	C₂²	semidirect
178. #16811168	C₂²	semidirect
179. #16811157	C₂²	semidirect
180. #16811154	C₂²	semidirect
181. #16811150	C₂²	semidirect
182. C₂×#13133212	C₂²	semidirect
183. C₂×#13133212	C₂²	semidirect
184. C₂×#13133211	C₂²	semidirect
185. C₂×#13133205	C₂²	semidirect
186. C₂×#13133203	C₂²	semidirect
187. C₂×#13133203	C₂²	semidirect
188. #16811134	C₂²	semidirect
189. #16811133	C₂²	semidirect
190. #16811131	C₂²	semidirect
191. #16811130	C₂²	semidirect
192. #16811129	C₂²	semidirect
193. C₂×#13133202	C₂²	semidirect
194. C₂×#13133202	C₂²	semidirect
195. C₂×#13133201	C₂²	semidirect
196. C₂×#13133200	C₂²	semidirect
197. C₂×#13133199	C₂²	semidirect
198. C₂×#13133196	C₂²	semidirect
199. C₂×#13133194	C₂²	semidirect
200. C₂×#13133191	C₂²	semidirect
201. C₂×#13133191	C₂²	semidirect
202. C₂×#13133190	C₂²	semidirect
203. C₂×#13133189	C₂²	semidirect
204. C₂×#13133189	C₂²	semidirect
205. C₂×#13133189	C₂²	semidirect
206. C₂×#13133189	C₂²	semidirect
207. #121×D₅₃	C₂²	semidirect
208. C₂×#13133187	C₂²	semidirect
209. C₂×#13133187	C₂²	semidirect
210. C₂×#13133185	C₂²	semidirect
211. C₂×#13133185	C₂²	semidirect
212. C₂×#13133185	C₂²	semidirect
213. C₂×#13133185	C₂²	semidirect
214. #120×D₅₃	C₂²	semidirect
215. #16811098	C₂²	semidirect
216. #16811096	C₂²	semidirect
217. C₂×D₄×Dic₅₃	C₂²	semidirect
218. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
219. C₂²×#11719921	C₂²	semidirect
220. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
221. C₅₃×#547	C₂²	semidirect
222. C₅₃×#547	C₂²	semidirect
223. C₅₃×#546	C₂²	semidirect
224. C₅₃×#546	C₂²	semidirect
225. D₄²×C₅₃	C₂²	semidirect
226. D₄²×C₅₃	C₂²	semidirect
227. C₅₃×#537	C₂²	semidirect
228. C₅₃×#534	C₂²	semidirect
229. C₅₃×#534	C₂²	semidirect
230. C₅₃×#532	C₂²	semidirect
231. C₂×#121×C₅₃	C₂²	semidirect
232. C₂×#121×C₅₃	C₂²	semidirect
233. C₂×#121×C₅₃	C₂²	semidirect
234. C₂×C₄×D₄×C₅₃	C₂²	semidirect
238. C₂×#11719945	C₂³	semidirect
239. C₂×#11719945	C₂³	semidirect
241. C₂×#11719947	C₂³	semidirect
242. C₂×#11719947	C₂³	semidirect
243. C₂×#11719947	C₂³	semidirect
244. C₂²×Dic₁₀₆	C₂³	semidirect
245. C₂²×Dic₁₀₆	C₂³	semidirect
258. C₂²×C₂²⋊D₅₃	C₂³	semidirect
259. C₂²×C₂²⋊D₅₃	C₂³	semidirect
260. C₂²×C₂²⋊D₅₃	C₂³	semidirect
261. C₂²×C₂²⋊D₅₃	C₂³	semidirect
262. C₂²×C₂²⋊D₅₃	C₂³	semidirect
269. C₂×D₄×D₅₃	C₂³	semidirect
270. C₂×D₄×D₅₃	C₂³	semidirect
271. C₂×D₄×D₅₃	C₂³	semidirect
272. C₂×D₄×D₅₃	C₂³	semidirect
274. C₂³×Dic₅₃	C₂³	semidirect
276. C₂²×C₄×D₅₃	C₂³	semidirect
277. #13133216	C₂³	semidirect
278. #13133215	C₂³	semidirect
283. #13133213	C₂³	semidirect
284. #13133213	C₂³	semidirect
285. #13133212	C₂³	semidirect
286. #13133212	C₂³	semidirect
287. #13133212	C₂³	semidirect
288. #13133212	C₂³	semidirect
289. #13133212	C₂³	semidirect
290. #13133212	C₂³	semidirect
291. #13133212	C₂³	semidirect
292. #13133212	C₂³	semidirect
293. #13133212	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133211	C₂³	semidirect
296. #13133211	C₂³	semidirect
297. #13133211	C₂³	semidirect
298. #13133210	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133210	C₂³	semidirect
301. #13133210	C₂³	semidirect
302. #13133210	C₂³	semidirect
303. #13133210	C₂³	semidirect
304. #13133210	C₂³	semidirect
305. #13133209	C₂³	semidirect
306. #13133208	C₂³	semidirect
307. #13133208	C₂³	semidirect
308. #13133207	C₂³	semidirect
309. #13133207	C₂³	semidirect
310. #13133207	C₂³	semidirect
311. #13133207	C₂³	semidirect
314. #13133206	C₂³	semidirect
315. #13133205	C₂³	semidirect
316. #13133205	C₂³	semidirect
317. #13133205	C₂³	semidirect
318. #13133204	C₂³	semidirect
319. #13133204	C₂³	semidirect
320. #13133204	C₂³	semidirect
323. #13133203	C₂³	semidirect
324. #13133203	C₂³	semidirect
325. #13133203	C₂³	semidirect
326. #13133203	C₂³	semidirect
327. #13133203	C₂³	semidirect
328. #13133203	C₂³	semidirect
329. #13133203	C₂³	semidirect
330. #13133203	C₂³	semidirect
331. #13133203	C₂³	semidirect
332. #13133203	C₂³	semidirect
333. #13133203	C₂³	semidirect
340. #13133202	C₂³	semidirect
341. #13133202	C₂³	semidirect
342. #13133202	C₂³	semidirect
343. #13133202	C₂³	semidirect
344. #13133201	C₂³	semidirect
345. #13133201	C₂³	semidirect
346. #13133201	C₂³	semidirect
347. #13133201	C₂³	semidirect
348. #13133201	C₂³	semidirect
349. #13133201	C₂³	semidirect
350. #13133201	C₂³	semidirect
354. #13133200	C₂³	semidirect
355. #13133200	C₂³	semidirect
356. #13133200	C₂³	semidirect
357. #13133200	C₂³	semidirect
358. #13133200	C₂³	semidirect
359. #13133200	C₂³	semidirect
360. #13133200	C₂³	semidirect
365. #13133199	C₂³	semidirect
366. #13133199	C₂³	semidirect
367. #13133199	C₂³	semidirect
368. #13133199	C₂³	semidirect
369. #13133199	C₂³	semidirect
372. #13133198	C₂³	semidirect
373. #13133198	C₂³	semidirect
374. #13133198	C₂³	semidirect
375. #13133198	C₂³	semidirect
376. #13133198	C₂³	semidirect
377. #13133198	C₂³	semidirect
378. #13133197	C₂³	semidirect
379. #13133197	C₂³	semidirect
382. #13133196	C₂³	semidirect
383. #13133196	C₂³	semidirect
384. #13133196	C₂³	semidirect
385. #13133196	C₂³	semidirect
386. #13133196	C₂³	semidirect
387. #13133195	C₂³	semidirect
388. #13133195	C₂³	semidirect
389. #13133195	C₂³	semidirect
390. #13133195	C₂³	semidirect
392. #13133194	C₂³	semidirect
393. #13133194	C₂³	semidirect
394. #13133194	C₂³	semidirect
395. #13133194	C₂³	semidirect
396. #13133194	C₂³	semidirect
397. #13133193	C₂³	semidirect
398. #13133193	C₂³	semidirect
399. #13133193	C₂³	semidirect
400. #13133193	C₂³	semidirect
403. #13133192	C₂³	semidirect
412. #13133191	C₂³	semidirect
413. #13133191	C₂³	semidirect
414. #13133191	C₂³	semidirect
415. #13133191	C₂³	semidirect
416. #13133191	C₂³	semidirect
421. #13133190	C₂³	semidirect
422. #13133190	C₂³	semidirect
423. #13133190	C₂³	semidirect
424. #13133190	C₂³	semidirect
425. #13133190	C₂³	semidirect
426. #13133190	C₂³	semidirect
427. #13133190	C₂³	semidirect
439. #13133189	C₂³	semidirect
440. #13133189	C₂³	semidirect
441. #13133189	C₂³	semidirect
442. #13133189	C₂³	semidirect
443. #13133189	C₂³	semidirect
444. #13133189	C₂³	semidirect
445. #13133189	C₂³	semidirect
446. #13133189	C₂³	semidirect
447. #13133189	C₂³	semidirect
448. #13133189	C₂³	semidirect
449. #13133189	C₂³	semidirect
450. #13133189	C₂³	semidirect
451. #13133189	C₂³	semidirect
452. #13133189	C₂³	semidirect
453. #13133189	C₂³	semidirect
454. #13133189	C₂³	semidirect
455. #13133189	C₂³	semidirect
456. #13133189	C₂³	semidirect
457. #13133189	C₂³	semidirect
458. #13133188	C₂³	semidirect
459. #13133188	C₂³	semidirect
460. #13133188	C₂³	semidirect
461. #13133188	C₂³	semidirect
462. #13133188	C₂³	semidirect
463. #13133188	C₂³	semidirect
464. #13133188	C₂³	semidirect
473. #13133187	C₂³	semidirect
474. #13133187	C₂³	semidirect
475. #13133187	C₂³	semidirect
479. #13133186	C₂³	semidirect
480. #13133186	C₂³	semidirect
481. #13133186	C₂³	semidirect
482. #13133186	C₂³	semidirect
495. #13133185	C₂³	semidirect
496. #13133185	C₂³	semidirect
497. #13133185	C₂³	semidirect
498. #13133185	C₂³	semidirect
499. #13133185	C₂³	semidirect
500. #13133185	C₂³	semidirect
501. #13133185	C₂³	semidirect
502. #13133185	C₂³	semidirect
503. #13133185	C₂³	semidirect
504. #13133185	C₂³	semidirect
505. C₄×Dic₁₀₆	C₂³	semidirect
506. #13133182	C₂³	semidirect
507. #13133182	C₂³	semidirect
508. C₄×D₂₁₂	C₂³	semidirect
511. D₄×Dic₅₃	C₂³	semidirect
512. D₄×Dic₅₃	C₂³	semidirect
513. D₄×Dic₅₃	C₂³	semidirect
514. D₄×Dic₅₃	C₂³	semidirect
515. D₄×Dic₅₃	C₂³	semidirect
516. D₄×Dic₅₃	C₂³	semidirect
517. D₄×Dic₅₃	C₂³	semidirect
518. D₄×Dic₅₃	C₂³	semidirect
519. D₄×Dic₅₃	C₂³	semidirect
520. #13133179	C₂³	semidirect
521. #13133179	C₂³	semidirect
522. #13133179	C₂³	semidirect
525. C₄×C₂²⋊D₅₃	C₂³	semidirect
526. C₄×C₂²⋊D₅₃	C₂³	semidirect
527. C₄×C₂²⋊D₅₃	C₂³	semidirect
528. C₄×C₂²⋊D₅₃	C₂³	semidirect
529. C₄×C₂²⋊D₅₃	C₂³	semidirect
530. C₄×C₂²⋊D₅₃	C₂³	semidirect
531. C₄×C₂²⋊D₅₃	C₂³	semidirect
532. C₄×C₂²⋊D₅₃	C₂³	semidirect
533. C₄×C₂²⋊D₅₃	C₂³	semidirect
534. C₄×C₂²⋊D₅₃	C₂³	semidirect
535. C₄×C₂²⋊D₅₃	C₂³	semidirect
536. C₄×C₂²⋊D₅₃	C₂³	semidirect
537. C₄×C₂²⋊D₅₃	C₂³	semidirect
538. #13133177	C₂³	semidirect
539. #13133177	C₂³	semidirect
540. #13133177	C₂³	semidirect
541. #13133177	C₂³	semidirect
542. #13133177	C₂³	semidirect
543. #13133177	C₂³	semidirect
544. #13133177	C₂³	semidirect
545. #13133177	C₂³	semidirect
547. #13133176	C₂³	semidirect
548. #13133175	C₂³	semidirect
549. #13133175	C₂³	semidirect
550. #13133174	C₂³	semidirect
552. #13133173	C₂³	semidirect
553. #13133173	C₂³	semidirect
554. #13133173	C₂³	semidirect
556. C₂×C₄⋊Dic₅₃	C₂³	semidirect
557. C₂×C₄⋊Dic₅₃	C₂³	semidirect
558. C₂×C₄⋊Dic₅₃	C₂³	semidirect
560. C₂×#11719919	C₂³	semidirect
561. C₂×#11719919	C₂³	semidirect
562. C₂×#11719919	C₂³	semidirect
563. C₂×#11719919	C₂³	semidirect
564. C₂×#11719919	C₂³	semidirect
565. C₂×#11719919	C₂³	semidirect
566. C₄⋊C₄×D₅₃	C₂³	semidirect
571. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
572. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
573. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
590. C₂×#11719921	C₂³	semidirect
591. C₂×#11719921	C₂³	semidirect
592. C₂×#11719921	C₂³	semidirect
593. C₂×#11719921	C₂³	semidirect
594. C₂×#11719921	C₂³	semidirect
596. C₂²⋊C₄×D₅₃	C₂³	semidirect
597. C₂²⋊C₄×D₅₃	C₂³	semidirect
598. C₂²⋊C₄×D₅₃	C₂³	semidirect
599. C₂×C₄×Dic₅₃	C₂³	semidirect
600. C₂×C₄×Dic₅₃	C₂³	semidirect
603. C₂×#41×C₅₃	C₂³	semidirect
604. C₂×#41×C₅₃	C₂³	semidirect
610. C₂²×D₄×C₅₃	C₂³	semidirect
611. C₂²×D₄×C₅₃	C₂³	semidirect
612. C₂²×D₄×C₅₃	C₂³	semidirect
613. C₂²×D₄×C₅₃	C₂³	semidirect
615. C₂³×C₄×C₅₃	C₂³	semidirect
616. C₄⋊Q₈×C₅₃	C₂³	semidirect
617. #127×C₅₃	C₂³	semidirect
618. #124×C₅₃	C₂³	semidirect
620. #123×C₅₃	C₂³	semidirect
621. #123×C₅₃	C₂³	semidirect
622. #123×C₅₃	C₂³	semidirect
623. C₂²⋊Q₈×C₅₃	C₂³	semidirect
624. C₂²⋊Q₈×C₅₃	C₂³	semidirect
631. #121×C₅₃	C₂³	semidirect
632. #121×C₅₃	C₂³	semidirect
633. #121×C₅₃	C₂³	semidirect
634. #121×C₅₃	C₂³	semidirect
635. #121×C₅₃	C₂³	semidirect
636. #121×C₅₃	C₂³	semidirect
637. #121×C₅₃	C₂³	semidirect
638. #121×C₅₃	C₂³	semidirect
639. #121×C₅₃	C₂³	semidirect
641. #120×C₅₃	C₂³	semidirect
642. #120×C₅₃	C₂³	semidirect
643. #120×C₅₃	C₂³	semidirect
646. C₄×D₄×C₅₃	C₂³	semidirect
647. C₄×D₄×C₅₃	C₂³	semidirect
648. C₄×D₄×C₅₃	C₂³	semidirect
649. C₄×D₄×C₅₃	C₂³	semidirect
650. C₄×D₄×C₅₃	C₂³	semidirect
652. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
653. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
654. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
657. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
658. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
659. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
660. C₂×C₄²×C₅₃	C₂³	semidirect
1170. #3496	D₅₃	semidirect
1190. C₂×H(5,𝔽₂)	C₂×D₅₃	semidirect
1239. #547	C₂×D₅₃	semidirect
1240. #547	C₂×D₅₃	semidirect
1262. #546	C₂×D₅₃	semidirect
1263. #546	C₂×D₅₃	semidirect
1278. D₄²	C₂×D₅₃	semidirect
1279. D₄²	C₂×D₅₃	semidirect
1322. #537	C₂×D₅₃	semidirect
1346. #534	C₂×D₅₃	semidirect
1347. #534	C₂×D₅₃	semidirect
1350. #532	C₂×D₅₃	semidirect
1380. C₂×#121	C₂×D₅₃	semidirect
1381. C₂×#121	C₂×D₅₃	semidirect
1382. C₂×#121	C₂×D₅₃	semidirect
1394. C₂×C₄×D₄	C₂×D₅₃	semidirect
1396. C₅₃	#62863	semidirect
1408. C₂×#41	C₂²×D₅₃	semidirect
1409. C₂×#41	C₂²×D₅₃	semidirect
1444. C₂²×D₄	C₂²×D₅₃	semidirect
1445. C₂²×D₄	C₂²×D₅₃	semidirect
1446. C₂²×D₄	C₂²×D₅₃	semidirect
1447. C₂²×D₄	C₂²×D₅₃	semidirect
1453. C₂³×C₄	C₂²×D₅₃	semidirect
1456. C₄⋊Q₈	C₂²×D₅₃	semidirect
1463. #127	C₂²×D₅₃	semidirect
1513. #124	C₂²×D₅₃	semidirect
1559. #123	C₂²×D₅₃	semidirect
1560. #123	C₂²×D₅₃	semidirect
1561. #123	C₂²×D₅₃	semidirect
1585. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1586. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1657. #121	C₂²×D₅₃	semidirect
1658. #121	C₂²×D₅₃	semidirect
1659. #121	C₂²×D₅₃	semidirect
1660. #121	C₂²×D₅₃	semidirect
1661. #121	C₂²×D₅₃	semidirect
1662. #121	C₂²×D₅₃	semidirect
1663. #121	C₂²×D₅₃	semidirect
1664. #121	C₂²×D₅₃	semidirect
1665. #121	C₂²×D₅₃	semidirect
1707. #120	C₂²×D₅₃	semidirect
1708. #120	C₂²×D₅₃	semidirect
1709. #120	C₂²×D₅₃	semidirect
1753. C₄×D₄	C₂²×D₅₃	semidirect
1754. C₄×D₄	C₂²×D₅₃	semidirect
1755. C₄×D₄	C₂²×D₅₃	semidirect
1756. C₄×D₄	C₂²×D₅₃	semidirect
1757. C₄×D₄	C₂²×D₅₃	semidirect
1780. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1781. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1782. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1817. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1818. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1819. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1822. C₂×C₄²	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289271	2
#20289264	2
#20289263	2
#20289238	2
#20289227	2
#20289225	2
#20288952	2
#20288950	2
#20288945	2
#20288905	2
#20288901	2
#20288894	2
#20288885	2
#20288874	2
#20288865	2
#20288864	2
#20288554	2
#20288552	2
#20288549	2
#20288474	2
#20288472	2
#20288347	2
#20288346	2
C₂×#16811210	2
C₂×#16811206	2
C₂×#16811181	2
C₅₃×#3496	2
#62863	53