Subgroups — #28260853

Order 13568.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#11719945	C₂	1	1	yes	maximal, characteristic, complemented
2	#20286895	C₂	1	1	yes	maximal, characteristic, complemented
3	#20286880	C₂	1	1	yes	maximal, characteristic, complemented
4	#20286865	C₂	1	1	yes	maximal, characteristic, complemented
5	#20286850	C₂	1	1	yes	maximal, characteristic, complemented
6	#20286835	C₂	1	1	yes	maximal, characteristic, complemented
7	#20286820	C₂	1	1	yes	maximal, characteristic, complemented
8	#20286805	C₂	1	1	yes	maximal, characteristic, complemented
9	#20286790	C₂	1	1	yes	maximal, characteristic, complemented
10	#20286775	C₂	1	1	yes	maximal, characteristic, complemented
11	#20286760	C₂	1	1	yes	maximal, characteristic, complemented
12	#20286745	C₂	1	1	yes	maximal, characteristic, complemented
13	#20286730	C₂	1	1	yes	maximal, characteristic, complemented
14	#20286715	C₂	1	1	yes	maximal, characteristic, complemented
15	#20286700	C₂	1	1	yes	maximal, characteristic, complemented
16	#20286685	C₂	1	1	yes	maximal, characteristic, complemented
17	#20286670	C₂	1	1	yes	maximal, characteristic, complemented
18	#20285063	C₂	1	1	yes	maximal, characteristic, complemented
19	#20284628	C₂	1	1	yes	maximal, characteristic, complemented
20	#20284628	C₂	1	1	yes	maximal, characteristic, complemented
21	#20284497	C₂	1	1	yes	maximal, characteristic, complemented
22	#20284321	C₂	1	1	yes	maximal, characteristic, complemented
23	#20284293	C₂	1	1	yes	maximal, characteristic, complemented
24	#20284170	C₂	1	1	yes	maximal, characteristic, complemented
25	#20283931	C₂	1	1	yes	maximal, characteristic, complemented
26	#20283931	C₂	1	1	yes	maximal, characteristic, complemented
27	#20283513	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16810695	C₂	1	1	yes	maximal, characteristic, complemented
29	#20283232	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16810617	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11719945	C₂²	1	1	yes	characteristic
33	C₂²×#11719945	C₂²	1	1	yes	characteristic
34	C₂×#13133237	C₂²	1	1	yes	characteristic
35	C₂×#13133237	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13133237	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#11719917	C₂²	1	1	yes	characteristic, complemented
38	C₂³×#88322	C₂²	1	1	yes	characteristic, complemented
39	#16811294	C₂²	1	1	yes	characteristic
40	D₄×Dic₁₀₆	C₂²	1	1	yes	characteristic
41	#16811282	C₂²	1	1	yes	characteristic
42	#16811282	C₂²	1	1	yes	characteristic
43	#16811278	C₂²	1	1	yes	characteristic
44	#16811274	—	2	1	no	—
45	#16811269	C₂²	1	1	yes	characteristic
46	#16811269	C₂²	1	1	yes	characteristic
47	#16811263	—	2	1	no	—
48	#16811263	—	2	1	no	—
49	D₄×D₂₁₂	C₂²	1	1	yes	characteristic
50	D₄×C₂²⋊D₅₃	—	2	1	no	—
51	#16811173	C₂²	1	1	yes	characteristic
52	#16811170	—	2	1	no	—
53	#16811134	C₂²	1	1	yes	characteristic
54	#16811134	C₂²	1	1	yes	characteristic
55	#16811132	—	2	1	no	—
56	#16811132	—	2	1	no	—
57	C₄×#11719945	C₂²	1	1	yes	characteristic
58	C₄×D₄×D₅₃	—	2	1	no	—
59	#16810993	C₂²	1	1	yes	characteristic, complemented
60	#16810993	C₂²	1	1	yes	characteristic, complemented
61	#16810989	C₂²	1	1	yes	characteristic, complemented
62	#16810989	C₂²	1	1	yes	characteristic, complemented
63	#16810985	C₂²	1	1	yes	characteristic, complemented
64	#16810985	C₂²	1	1	yes	characteristic, complemented
65	#16810985	C₂²	1	1	yes	characteristic, complemented
66	#16810985	C₂²	1	1	yes	characteristic, complemented
67	#16810964	C₂²	1	1	yes	characteristic, complemented
68	#16810964	C₂²	1	1	yes	characteristic, complemented
69	#16810964	C₂²	1	1	yes	characteristic, complemented
70	#16810964	C₂²	1	1	yes	characteristic, complemented
71	#16810958	C₂²	1	1	yes	characteristic, complemented
72	#16810958	C₂²	1	1	yes	characteristic, complemented
73	#16810953	C₂²	1	1	yes	characteristic, complemented
74	#16810953	C₂²	1	1	yes	characteristic, complemented
75	#16810947	C₂²	1	1	yes	characteristic, complemented
76	#16810947	C₂²	1	1	yes	characteristic, complemented
77	#16810947	C₂²	1	1	yes	characteristic, complemented
78	#16810947	C₂²	1	1	yes	characteristic, complemented
79	#16810941	C₂²	1	1	yes	characteristic, complemented
80	#16810941	C₂²	1	1	yes	characteristic, complemented
81	#16810936	C₂²	1	1	yes	characteristic, complemented
82	#16810936	C₂²	1	1	yes	characteristic, complemented
83	#16810927	C₂²	1	1	yes	characteristic, complemented
84	#16810927	C₂²	1	1	yes	characteristic, complemented
85	#16810920	C₂²	1	1	yes	characteristic, complemented
86	#16810920	C₂²	1	1	yes	characteristic, complemented
87	#16810915	C₂²	1	1	yes	characteristic, complemented
88	#16810910	C₂²	1	1	yes	characteristic, complemented
89	#16810905	C₂²	1	1	yes	characteristic, complemented
90	#16810900	C₂²	1	1	yes	characteristic, complemented
91	#16810879	C₂²	1	1	yes	characteristic, complemented
92	#16810879	C₂²	1	1	yes	characteristic, complemented
93	#16810874	C₂²	1	1	yes	characteristic, complemented
94	#16810874	C₂²	1	1	yes	characteristic, complemented
95	#16810871	C₂²	1	1	yes	characteristic, complemented
96	#16810871	C₂²	1	1	yes	characteristic, complemented
97	#16810867	C₂²	1	1	yes	characteristic, complemented
98	#16810867	C₂²	1	1	yes	characteristic, complemented
99	#16810862	C₂²	1	1	yes	characteristic, complemented
100	#16810862	C₂²	1	1	yes	characteristic, complemented
101	#16810857	C₂²	1	1	yes	characteristic, complemented
102	#16810857	C₂²	1	1	yes	characteristic, complemented
103	#16810854	C₂²	1	1	yes	characteristic, complemented
104	#16810854	C₂²	1	1	yes	characteristic, complemented
105	#16810850	C₂²	1	1	yes	characteristic, complemented
106	#16810850	C₂²	1	1	yes	characteristic, complemented
107	#16810845	C₂²	1	1	yes	characteristic, complemented
108	#16810845	C₂²	1	1	yes	characteristic, complemented
109	#16810838	C₂²	1	1	yes	characteristic, complemented
110	#16810838	C₂²	1	1	yes	characteristic, complemented
111	#16810833	C₂²	1	1	yes	characteristic, complemented
112	#16810828	C₂²	1	1	yes	characteristic, complemented
113	#16810823	C₂²	1	1	yes	characteristic, complemented
114	#16810818	C₂²	1	1	yes	characteristic, complemented
115	#16810783	C₂²	1	1	yes	characteristic, complemented
116	#16810783	C₂²	1	1	yes	characteristic, complemented
117	#16810783	C₂²	1	1	yes	characteristic, complemented
118	#16810783	C₂²	1	1	yes	characteristic, complemented
119	#16810778	C₂²	1	1	yes	characteristic, complemented
120	#16810778	C₂²	1	1	yes	characteristic, complemented
121	#16810773	C₂²	1	1	yes	characteristic, complemented
122	#16810773	C₂²	1	1	yes	characteristic, complemented
123	#16810766	C₂²	1	1	yes	characteristic, complemented
124	#16810766	C₂²	1	1	yes	characteristic, complemented
125	#16810766	C₂²	1	1	yes	characteristic, complemented
126	#16810766	C₂²	1	1	yes	characteristic, complemented
127	#16810761	C₂²	1	1	yes	characteristic, complemented
128	#16810761	C₂²	1	1	yes	characteristic, complemented
129	#16810756	C₂²	1	1	yes	characteristic, complemented
130	#16810756	C₂²	1	1	yes	characteristic, complemented
131	#16810733	C₂²	1	1	yes	characteristic, complemented
132	#16810733	C₂²	1	1	yes	characteristic, complemented
133	#16810728	C₂²	1	1	yes	characteristic, complemented
134	#16810728	C₂²	1	1	yes	characteristic, complemented
135	#16810723	C₂²	1	1	yes	characteristic, complemented
136	#16810723	C₂²	1	1	yes	characteristic, complemented
137	#16810721	C₂²	1	1	yes	characteristic, complemented
138	#16810721	C₂²	1	1	yes	characteristic, complemented
139	#16810695	C₂²	1	1	yes	characteristic
140	#16810695	C₂²	1	1	yes	characteristic
141	#16810695	C₂²	1	1	yes	characteristic, complemented
142	#16810695	C₂²	1	1	yes	characteristic, complemented
143	#16810695	C₂²	1	1	yes	characteristic, complemented
144	#16810695	C₂²	1	1	yes	characteristic, complemented
145	#16810695	C₂²	1	1	yes	characteristic, complemented
146	#16810695	C₂²	1	1	yes	characteristic, complemented
147	#16810659	C₂²	1	1	yes	characteristic, complemented
148	#16810659	C₂²	1	1	yes	characteristic, complemented
149	#16810659	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₄⋊#88322	C₂²	1	1	yes	characteristic, complemented
151	#16810631	C₂²	1	1	yes	characteristic, complemented
152	#16810631	C₂²	1	1	yes	characteristic, complemented
153	#16810627	C₂²	1	1	yes	characteristic, complemented
154	#16810627	C₂²	1	1	yes	characteristic, complemented
155	#16810622	C₂²	1	1	yes	characteristic, complemented
156	#16810622	C₂²	1	1	yes	characteristic, complemented
157	#16810622	C₂²	1	1	yes	characteristic, complemented
158	#16810622	C₂²	1	1	yes	characteristic, complemented
159	#16810619	C₂²	1	1	yes	characteristic, complemented
160	#16810617	C₂²	1	1	yes	characteristic
161	#16810617	C₂²	1	1	yes	characteristic
162	#16810617	C₂²	1	1	yes	characteristic
163	#16810617	C₂²	1	1	yes	characteristic, complemented
164	#16810617	C₂²	1	1	yes	characteristic, complemented
165	#16810617	C₂²	1	1	yes	characteristic, complemented
166	#16810617	C₂²	1	1	yes	characteristic, complemented
167	#16810617	C₂²	1	1	yes	characteristic, complemented
168	#16810617	C₂²	1	1	yes	characteristic, complemented
169	#16810617	C₂²	1	1	yes	characteristic, complemented
170	#16810617	C₂²	1	1	yes	characteristic, complemented
171	#16810617	C₂²	1	1	yes	characteristic, complemented
172	#16810617	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133140	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133140	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133137	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133137	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₂²⋊#88322	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊#88322	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133128	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#553	C₂²	1	1	yes	characteristic
184	C₅₃×#553	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#552	—	2	1	no	—
186	C₅₃×#552	C₂²	1	1	yes	characteristic
187	C₅₃×#552	C₂²	1	1	yes	characteristic, complemented
188	C₅₃×#551	—	2	1	no	—
189	C₅₃×#551	—	2	1	no	—
190	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#546	—	2	1	no	—
192	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
193	C₅₃×#529	—	2	1	no	—
194	C₅₃×#529	—	2	1	no	—
195	C₅₃×#529	—	2	1	no	—
196	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
198	C₄×#41×C₅₃	—	2	1	no	—
199	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
201	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11719945	—	2	1	no	—
204	C₂×#11719945	—	2	1	no	—
205	C₂×#11719945	—	2	1	no	—
206	C₂×#11719945	—	2	1	no	—
207	C₂×#11719945	—	2	4	no	—
208	C₂×#11719945	—	2	4	no	—
209	C₂×#11719945	—	4	2	no	—
210	C₂×#11719945	—	4	2	no	—
211	C₂×#11719945	C₂³	1	1	yes	characteristic
212	C₂×#11719945	C₂³	1	1	yes	characteristic
213	C₂×#11719945	C₂³	1	1	yes	characteristic
214	C₂×#11719945	C₂³	1	1	yes	characteristic
215	C₂×#11719945	C₂³	1	1	yes	characteristic
216	C₂×#11719945	C₂³	1	1	yes	characteristic
217	C₂×#11719945	C₂³	1	1	yes	characteristic
218	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
219	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
220	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
221	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
222	C₂²×C₂²⋊D₅₃	—	2	1	no	—
223	C₂²×C₂²⋊D₅₃	—	2	1	no	—
224	C₂×D₄×D₅₃	—	2	1	no	—
225	C₂²×C₄×D₅₃	—	2	1	no	—
226	C₂²×C₄×D₅₃	—	2	1	no	—
227	#13133237	—	2	4	no	—
228	#13133237	—	4	2	no	—
229	#13133237	—	4	2	no	—
230	C₂×#11719925	C₂³	1	1	yes	characteristic
231	C₂×#11719925	C₂³	1	1	yes	characteristic
232	C₂×#11719925	C₂³	1	1	yes	characteristic
233	C₂×#11719923	C₂³	1	1	yes	characteristic
234	C₂×#11719923	C₂³	1	1	yes	characteristic
235	C₂×#11719923	C₂³	1	1	yes	characteristic
236	C₂×#11719924	C₂³	1	1	yes	characteristic
237	C₂×#11719924	C₂³	1	1	yes	characteristic
238	C₂×#11719924	C₂³	1	1	yes	characteristic
239	C₂×#11719922	C₂³	1	1	yes	characteristic
240	C₂×#11719922	C₂³	1	1	yes	characteristic
241	C₂×#11719922	C₂³	1	1	yes	characteristic
242	C₂×#11719917	—	4	2	no	—
243	C₂×#11719917	C₂³	1	1	yes	characteristic
244	C₂×#11719917	C₂³	1	1	yes	characteristic
245	C₂×#11719917	C₂³	1	1	yes	characteristic
246	C₂×#11719917	C₂³	1	1	yes	characteristic
247	C₂²×#88322	—	4	2	no	—
248	C₂²×#88322	C₂³	1	1	yes	characteristic
249	C₂²×#88322	C₂³	1	1	yes	characteristic
250	C₂²×#88322	C₂³	1	1	yes	characteristic
251	C₂²×#88322	C₂³	1	1	yes	characteristic
252	C₂²×#88322	C₂³	1	1	yes	characteristic
253	C₂²×#88322	C₂³	1	1	yes	characteristic
254	C₂²×#88322	C₂³	1	1	yes	characteristic
255	C₂²×#88322	C₂³	1	1	yes	characteristic
256	#13133217	C₂³	1	1	yes	characteristic
257	#13133216	—	2	1	no	—
258	#13133214	C₂³	1	1	yes	characteristic
259	#13133213	—	2	1	no	—
260	#13133205	C₂³	1	1	yes	characteristic
261	#13133205	C₂³	1	1	yes	characteristic
262	#13133203	—	2	1	no	—
263	#13133203	—	2	1	no	—
264	#13133202	—	2	1	no	—
265	#13133202	—	2	1	no	—
266	#13133200	—	2	1	no	—
267	#13133200	—	2	1	no	—
268	#13133199	—	2	1	no	—
269	#13133199	—	2	1	no	—
270	#13133196	C₂³	1	1	yes	characteristic
271	#13133196	C₂³	1	1	yes	characteristic
272	#13133196	C₂³	1	1	yes	characteristic
273	#13133196	C₂³	1	1	yes	characteristic
274	#13133195	—	2	1	no	—
275	#13133195	—	2	1	no	—
276	#13133194	—	2	1	no	—
277	#13133194	—	2	1	no	—
278	#13133192	—	2	1	no	—
279	#13133191	—	2	1	no	—
280	#13133191	—	2	1	no	—
281	#13133191	C₂³	1	1	yes	characteristic
282	#13133191	C₂³	1	1	yes	characteristic
283	#13133191	C₂³	1	1	yes	characteristic
284	#13133191	C₂³	1	1	yes	characteristic
285	#13133190	—	2	1	no	—
286	#13133190	—	2	1	no	—
287	#13133190	—	2	1	no	—
288	#13133190	—	2	1	no	—
289	#13133189	—	2	1	no	—
290	#13133189	—	2	1	no	—
291	#13133188	—	2	1	no	—
292	#13133187	—	2	1	no	—
293	#13133187	—	2	1	no	—
294	#13133186	—	2	1	no	—
295	#13133186	—	2	1	no	—
296	#13133185	—	2	1	no	—
297	#13133185	—	2	1	no	—
298	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
299	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
300	C₄×D₂₁₂	—	2	1	no	—
301	C₄×D₂₁₂	—	2	1	no	—
302	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
303	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
304	D₄×Dic₅₃	—	2	1	no	—
305	#13133179	—	2	1	no	—
306	C₄×C₂²⋊D₅₃	—	2	1	no	—
307	C₄×C₂²⋊D₅₃	—	2	1	no	—
308	C₄×C₂²⋊D₅₃	—	2	1	no	—
309	C₄×C₂²⋊D₅₃	—	2	1	no	—
310	C₄×C₂²⋊D₅₃	—	2	1	no	—
311	C₄×C₂²⋊D₅₃	—	2	1	no	—
312	#13133177	—	2	1	no	—
313	#13133177	—	2	1	no	—
314	#13133176	C₂³	1	1	yes	characteristic
315	#13133174	—	2	1	no	—
316	C₄⋊C₄×D₅₃	—	2	1	no	—
317	C₂²⋊C₄×D₅₃	—	2	1	no	—
318	C₂²⋊C₄×D₅₃	—	2	1	no	—
319	C₄²×D₅₃	—	2	1	no	—
320	#13133150	C₂³	1	1	yes	characteristic
321	#13133150	C₂³	1	1	yes	characteristic
322	#13133150	C₂³	1	1	yes	characteristic
323	#13133150	C₂³	1	1	yes	characteristic
324	#13133150	C₂³	1	1	yes	characteristic
325	#13133150	C₂³	1	1	yes	characteristic
326	#13133148	C₂³	1	1	yes	characteristic
327	#13133148	C₂³	1	1	yes	characteristic
328	#13133148	C₂³	1	1	yes	characteristic
329	#13133148	C₂³	1	1	yes	characteristic
330	#13133148	C₂³	1	1	yes	characteristic
331	#13133148	C₂³	1	1	yes	characteristic
332	C₄⋊#88322	C₂³	1	1	yes	characteristic
333	C₄⋊#88322	C₂³	1	1	yes	characteristic
334	C₄⋊#88322	C₂³	1	1	yes	characteristic
335	C₄⋊#88322	C₂³	1	1	yes	characteristic
336	#13133141	C₂³	1	1	yes	characteristic
337	#13133141	C₂³	1	1	yes	characteristic
338	#13133140	C₂³	1	1	yes	characteristic
339	#13133140	C₂³	1	1	yes	characteristic
340	#13133140	C₂³	1	1	yes	characteristic
341	#13133140	C₂³	1	1	yes	characteristic
342	#13133140	C₂³	1	1	yes	characteristic
343	#13133140	C₂³	1	1	yes	characteristic
344	#13133140	C₂³	1	1	yes	characteristic
345	#13133140	C₂³	1	1	yes	characteristic
346	#13133140	C₂³	1	1	yes	characteristic
347	#13133140	C₂³	1	1	yes	characteristic
348	#13133140	C₂³	1	1	yes	characteristic
349	#13133140	C₂³	1	1	yes	characteristic
350	#13133140	C₂³	1	1	yes	characteristic
351	#13133140	C₂³	1	1	yes	characteristic
352	#13133140	C₂³	1	1	yes	characteristic
353	#13133140	C₂³	1	1	yes	characteristic
354	#13133140	C₂³	1	1	yes	characteristic
355	#13133140	C₂³	1	1	yes	characteristic
356	#13133138	C₂³	1	1	yes	characteristic
357	#13133138	C₂³	1	1	yes	characteristic
358	#13133137	C₂³	1	1	yes	characteristic
359	#13133137	C₂³	1	1	yes	characteristic
360	#13133137	C₂³	1	1	yes	characteristic
361	#13133137	C₂³	1	1	yes	characteristic
362	#13133137	C₂³	1	1	yes	characteristic
363	#13133137	C₂³	1	1	yes	characteristic
364	#13133137	C₂³	1	1	yes	characteristic
365	#13133137	C₂³	1	1	yes	characteristic
366	#13133137	C₂³	1	1	yes	characteristic
367	#13133137	C₂³	1	1	yes	characteristic
368	#13133137	C₂³	1	1	yes	characteristic
369	#13133137	C₂³	1	1	yes	characteristic
370	#13133137	C₂³	1	1	yes	characteristic
371	#13133137	C₂³	1	1	yes	characteristic
372	#13133137	C₂³	1	1	yes	characteristic
373	#13133137	C₂³	1	1	yes	characteristic
374	#13133137	C₂³	1	1	yes	characteristic
375	#13133137	C₂³	1	1	yes	characteristic
376	C₂²⋊#88322	C₂³	1	1	yes	characteristic
377	C₂²⋊#88322	C₂³	1	1	yes	characteristic
378	C₂²⋊#88322	C₂³	1	1	yes	characteristic
379	C₂²⋊#88322	C₂³	1	1	yes	characteristic
380	C₂²⋊#88322	C₂³	1	1	yes	characteristic
381	C₂²⋊#88322	C₂³	1	1	yes	characteristic
382	C₂²⋊#88322	C₂³	1	1	yes	characteristic
383	C₂²⋊#88322	C₂³	1	1	yes	characteristic
384	#13133128	C₂³	1	1	yes	characteristic
385	#13133128	C₂³	1	1	yes	characteristic
386	#13133128	C₂³	1	1	yes	characteristic
387	#13133128	C₂³	1	1	yes	characteristic
388	C₂×#41×C₅₃	—	2	1	no	—
389	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
390	C₂²×D₄×C₅₃	D₄	1	1	yes	characteristic
391	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
392	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
393	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
394	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
395	#126×C₅₃	—	2	1	no	—
396	#126×C₅₃	—	2	1	no	—
397	#126×C₅₃	—	2	1	no	—
398	#126×C₅₃	—	2	1	no	—
399	#126×C₅₃	—	2	1	no	—
400	#126×C₅₃	—	2	1	no	—
401	#125×C₅₃	—	2	1	no	—
402	#125×C₅₃	—	2	1	no	—
403	#125×C₅₃	—	2	1	no	—
404	#125×C₅₃	C₂³	1	1	yes	characteristic
405	#125×C₅₃	C₂³	1	1	yes	characteristic
406	#124×C₅₃	—	2	1	no	—
407	#124×C₅₃	—	2	1	no	—
408	#124×C₅₃	—	2	1	no	—
409	#123×C₅₃	—	2	1	no	—
410	#123×C₅₃	—	2	1	no	—
411	#123×C₅₃	—	2	1	no	—
412	#123×C₅₃	—	2	1	no	—
413	#123×C₅₃	—	2	1	no	—
414	#123×C₅₃	—	2	1	no	—
415	#123×C₅₃	—	2	1	no	—
416	#123×C₅₃	—	2	1	no	—
417	C₂²⋊Q₈×C₅₃	—	2	1	no	—
418	C₂²⋊Q₈×C₅₃	—	2	1	no	—
419	C₂²⋊Q₈×C₅₃	—	2	1	no	—
420	C₂²⋊Q₈×C₅₃	—	2	1	no	—
421	C₂²⋊Q₈×C₅₃	—	2	1	no	—
422	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
423	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
424	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
425	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
426	#121×C₅₃	—	2	1	no	—
427	#121×C₅₃	—	2	1	no	—
428	#121×C₅₃	—	2	1	no	—
429	#121×C₅₃	C₂³	1	1	yes	characteristic
430	#121×C₅₃	C₂³	1	1	yes	characteristic
431	#121×C₅₃	C₂³	1	1	yes	characteristic
432	#121×C₅₃	C₂³	1	1	yes	characteristic
433	#120×C₅₃	—	2	1	no	—
434	#120×C₅₃	—	2	1	no	—
435	C₄×Q₈×C₅₃	—	2	1	no	—
436	C₄×Q₈×C₅₃	—	2	1	no	—
437	C₄×Q₈×C₅₃	—	2	1	no	—
438	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
439	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
440	C₄×D₄×C₅₃	—	2	1	no	—
441	C₄×D₄×C₅₃	—	2	1	no	—
442	C₄×D₄×C₅₃	—	2	1	no	—
443	C₄×D₄×C₅₃	—	2	1	no	—
444	C₄×D₄×C₅₃	—	2	1	no	—
445	C₄×D₄×C₅₃	—	2	1	no	—
446	C₄×D₄×C₅₃	—	2	1	no	—
447	C₄×D₄×C₅₃	—	2	1	no	—
448	C₄×D₄×C₅₃	—	2	1	no	—
449	C₄×D₄×C₅₃	D₄	1	1	yes	characteristic
450	C₄×D₄×C₅₃	D₄	1	1	yes	characteristic
451	C₄×D₄×C₅₃	D₄	1	1	yes	characteristic
452	C₄×D₄×C₅₃	D₄	1	1	yes	characteristic
453	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
454	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
459	#117×C₅₃	—	2	1	no	—
460	#117×C₅₃	—	2	1	no	—
461	#117×C₅₃	—	2	1	no	—
462	#117×C₅₃	—	2	1	no	—
463	#117×C₅₃	—	2	1	no	—
464	#117×C₅₃	—	2	1	no	—
465	#117×C₅₃	—	2	1	no	—
466	#117×C₅₃	—	2	1	no	—
467	#117×C₅₃	C₂³	1	1	yes	characteristic
468	#117×C₅₃	C₂³	1	1	yes	characteristic
469	#117×C₅₃	C₂³	1	1	yes	characteristic
470	#117×C₅₃	C₂³	1	1	yes	characteristic
471	#117×C₅₃	C₂³	1	1	yes	characteristic
472	#117×C₅₃	C₂³	1	1	yes	characteristic
473	#117×C₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄⋊C₄×C₅₃	D₄	1	1	yes	characteristic
475	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
476	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
479	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
480	C₂×C₂²⋊C₄×C₅₃	—	2	1	no	—
481	C₂×C₂²⋊C₄×C₅₃	D₄	1	1	yes	characteristic
482	C₂×C₂²⋊C₄×C₅₃	D₄	1	1	yes	characteristic
483	C₂×C₄²×C₅₃	—	2	1	no	—
484	C₂×C₄²×C₅₃	—	2	1	no	—
485	C₂×C₄²×C₅₃	—	2	1	no	—
486	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
487	C₂⁴×C₅₃	C₂×D₄	1	1	yes	characteristic
488	C₂⁴×C₅₃	C₂×D₄	1	1	yes	characteristic
489	C₂³×D₅₃	—	2	1	no	—
490	C₂³×D₅₃	—	2	1	no	—
491	#41×C₅₃	—	2	2	no	—
492	#41×C₅₃	—	2	2	no	—
493	#41×C₅₃	—	4	4	no	—
494	C₂×Q₈×C₅₃	—	2	1	no	—
495	C₂×Q₈×C₅₃	—	2	1	no	—
496	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₅₃	—	2	1	no	—
498	C₂×D₄×C₅₃	—	2	1	no	—
499	C₂×D₄×C₅₃	—	2	1	no	—
500	C₂×D₄×C₅₃	—	2	1	no	—
501	C₂×D₄×C₅₃	—	2	1	no	—
502	C₂×D₄×C₅₃	—	4	2	no	—
503	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
507	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₅₃	—	2	2	no	—
509	C₂²×C₄×C₅₃	—	2	2	no	—
510	C₂²×C₄×C₅₃	—	2	2	no	—
511	C₂²×C₄×C₅₃	—	2	2	no	—
512	C₂²×C₄×C₅₃	—	2	1	no	—
513	C₂²×C₄×C₅₃	—	2	1	no	—
514	C₂²×C₄×C₅₃	—	2	1	no	—
515	C₂²×C₄×C₅₃	—	2	1	no	—
516	C₂²×C₄×C₅₃	—	2	1	no	—
517	C₂²×C₄×C₅₃	—	2	1	no	—
518	C₂²×C₄×C₅₃	—	2	1	no	—
519	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
521	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₅₃	—	2	1	no	—
533	C₂×C₂²⋊D₅₃	—	2	1	no	—
534	C₂×C₂²⋊D₅₃	—	2	1	no	—
535	C₂×C₂²⋊D₅₃	—	2	1	no	—
536	C₂×C₂²⋊D₅₃	—	2	1	no	—
537	C₂×C₂²⋊D₅₃	—	2	1	no	—
538	C₂×C₂²⋊D₅₃	—	2	1	no	—
539	C₂×C₂²⋊D₅₃	—	2	1	no	—
540	C₂×C₂²⋊D₅₃	—	2	1	no	—
541	C₂×C₂²⋊D₅₃	—	2	1	no	—
542	C₂×C₂²⋊D₅₃	—	2	1	no	—
543	C₂×C₂²⋊D₅₃	—	4	4	no	—
544	C₂×C₂²⋊D₅₃	—	4	4	no	—
545	C₂²×Dic₅₃	—	2	1	no	—
546	C₂²×Dic₅₃	—	2	1	no	—
547	D₄×D₅₃	—	4	4	no	—
548	#11719945	—	2	2	no	—
549	#11719945	—	2	2	no	—
550	#11719945	—	2	2	no	—
551	#11719945	—	2	2	no	—
552	#11719945	—	2	2	no	—
553	#11719945	—	2	2	no	—
554	#11719945	—	2	2	no	—
555	#11719945	—	2	2	no	—
556	#11719945	—	2	2	no	—
557	#11719945	—	4	1	no	—
558	#11719945	—	4	1	no	—
559	#11719945	—	4	1	no	—
560	#11719945	—	4	1	no	—
561	#11719945	—	4	4	no	—
562	#11719945	—	4	4	no	—
563	#11719945	—	4	4	no	—
564	#11719945	—	4	4	no	—
565	#11719945	#41	1	4	yes	complemented
566	C₂×D₂₁₂	—	2	2	no	—
567	C₂×D₂₁₂	—	2	2	no	—
568	C₂×D₂₁₂	—	2	1	no	—
569	C₂×D₂₁₂	—	2	1	no	—
570	C₂×D₂₁₂	—	2	1	no	—
571	C₂×D₂₁₂	—	2	1	no	—
572	C₂×D₂₁₂	—	4	1	no	—
573	C₂×D₂₁₂	—	4	1	no	—
574	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
575	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
576	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
577	C₂×C₄×D₅₃	—	2	1	no	—
578	C₂×C₄×D₅₃	—	2	1	no	—
579	C₂×C₄×D₅₃	—	2	1	no	—
580	C₂×C₄×D₅₃	—	2	1	no	—
581	C₂×C₄×D₅₃	—	2	1	no	—
582	C₂×C₄×D₅₃	—	2	1	no	—
583	C₂×C₄×D₅₃	—	2	1	no	—
584	C₂×C₄×D₅₃	—	2	1	no	—
585	C₂×C₄×D₅₃	—	2	1	no	—
586	C₂×C₄×D₅₃	—	4	4	no	—
587	C₂×C₄×D₅₃	—	4	4	no	—
588	C₂×Dic₁₀₆	—	2	2	no	—
589	C₂×Dic₁₀₆	—	2	2	no	—
590	C₂×Dic₁₀₆	—	2	1	no	—
591	C₂×Dic₁₀₆	—	2	1	no	—
592	C₂×Dic₁₀₆	—	4	1	no	—
593	C₂×Dic₁₀₆	—	4	1	no	—
594	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
597	C₄⋊C₄×C₅₃	—	2	1	no	—
598	C₄⋊C₄×C₅₃	—	2	1	no	—
599	C₄⋊C₄×C₅₃	—	2	1	no	—
600	C₄⋊C₄×C₅₃	—	2	1	no	—
601	C₄⋊C₄×C₅₃	—	2	1	no	—
602	C₄⋊C₄×C₅₃	—	2	1	no	—
603	C₄⋊C₄×C₅₃	—	2	1	no	—
604	C₄⋊C₄×C₅₃	—	2	1	no	—
605	C₄⋊C₄×C₅₃	—	2	1	no	—
606	C₄⋊C₄×C₅₃	—	2	1	no	—
607	C₄⋊C₄×C₅₃	—	2	1	no	—
608	C₄⋊C₄×C₅₃	—	2	1	no	—
609	C₄⋊C₄×C₅₃	—	2	1	no	—
610	C₄⋊C₄×C₅₃	—	2	1	no	—
611	C₄⋊C₄×C₅₃	—	2	1	no	—
612	C₄⋊C₄×C₅₃	—	2	1	no	—
613	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
620	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
622	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
623	C₂²⋊C₄×C₅₃	—	2	1	no	—
624	C₂²⋊C₄×C₅₃	—	2	1	no	—
625	C₂²⋊C₄×C₅₃	—	2	1	no	—
626	C₂²⋊C₄×C₅₃	—	2	1	no	—
627	C₂²⋊C₄×C₅₃	—	2	1	no	—
628	C₂²⋊C₄×C₅₃	—	2	1	no	—
629	C₂²⋊C₄×C₅₃	—	2	1	no	—
630	C₂²⋊C₄×C₅₃	—	2	1	no	—
631	C₂²⋊C₄×C₅₃	—	2	1	no	—
632	C₂²⋊C₄×C₅₃	—	2	1	no	—
633	C₂²⋊C₄×C₅₃	—	2	1	no	—
634	C₂²⋊C₄×C₅₃	—	2	1	no	—
635	C₂²⋊C₄×C₅₃	—	2	1	no	—
636	C₂²⋊C₄×C₅₃	—	2	1	no	—
637	C₂²⋊C₄×C₅₃	—	2	1	no	—
638	C₂²⋊C₄×C₅₃	—	2	1	no	—
639	C₂²⋊C₄×C₅₃	—	2	1	no	—
640	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
648	C₄²×C₅₃	—	2	1	no	—
649	C₄²×C₅₃	—	2	1	no	—
650	C₄²×C₅₃	—	2	1	no	—
651	C₄²×C₅₃	—	2	1	no	—
652	C₄²×C₅₃	—	2	1	no	—
653	C₄²×C₅₃	—	2	1	no	—
654	C₄²×C₅₃	—	2	1	no	—
655	C₄²×C₅₃	—	2	1	no	—
656	C₄²×C₅₃	—	2	1	no	—
657	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
659	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
660	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
661	C₂²⋊Dic₅₃	—	2	1	no	—
662	C₂²⋊Dic₅₃	—	2	1	no	—
663	C₂²⋊Dic₅₃	—	2	1	no	—
664	C₂²⋊Dic₅₃	—	2	1	no	—
665	C₂²⋊Dic₅₃	—	2	1	no	—
666	#11719925	—	2	2	no	—
667	#11719925	—	4	1	no	—
668	#11719925	—	4	1	no	—
669	#11719924	—	2	2	no	—
670	#11719924	—	4	1	no	—
671	#11719924	—	4	1	no	—
672	#11719923	—	2	2	no	—
673	#11719923	—	4	1	no	—
674	#11719923	—	4	1	no	—
675	#11719922	—	2	2	no	—
676	#11719922	—	4	1	no	—
677	#11719922	—	4	1	no	—
678	#11719921	—	2	1	no	—
679	#11719921	—	2	1	no	—
680	#11719921	—	2	1	no	—
681	#11719921	—	2	1	no	—
682	#11719921	—	2	1	no	—
683	#11719921	—	2	1	no	—
684	#11719921	—	2	1	no	—
685	#11719921	—	2	1	no	—
686	#11719921	—	2	1	no	—
687	#11719921	—	2	1	no	—
688	C₄⋊Dic₅₃	—	2	1	no	—
689	C₄⋊Dic₅₃	—	2	1	no	—
690	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
692	#11719919	—	2	1	no	—
693	#11719919	—	2	1	no	—
694	#11719919	—	2	1	no	—
695	#11719919	—	2	1	no	—
696	#11719919	—	2	1	no	—
697	#11719919	—	2	1	no	—
698	C₄×Dic₅₃	—	2	1	no	—
699	C₄×Dic₅₃	—	2	1	no	—
700	C₄×Dic₅₃	—	2	1	no	—
701	#11719917	—	4	1	no	—
702	#11719917	—	4	1	no	—
703	#11719917	—	4	1	no	—
704	#11719917	—	4	1	no	—
705	C₂×#88322	—	2	2	no	—
706	C₂×#88322	—	2	2	no	—
707	C₂×#88322	—	2	2	no	—
708	C₂×#88322	—	2	2	no	—
709	C₂×#88322	—	4	1	no	—
710	C₂×#88322	—	4	1	no	—
711	C₂×#88322	—	4	1	no	—
712	C₂×#88322	—	4	1	no	—
713	C₂×#88322	C₂⁴	1	1	yes	characteristic
714	C₂×#88322	C₂⁴	1	1	yes	characteristic
715	C₂×#88322	C₂⁴	1	1	yes	characteristic
716	C₂×#88322	C₂⁴	1	1	yes	characteristic
717	C₂×#88322	C₂⁴	1	1	yes	characteristic
718	C₂×#88322	C₂⁴	1	1	yes	characteristic
719	C₂×#88322	C₂⁴	1	1	yes	characteristic
720	C₂×#88322	C₂⁴	1	1	yes	characteristic
721	C₂³×C₅₃	—	2	2	no	—
722	C₂³×C₅₃	—	2	2	no	—
723	C₂³×C₅₃	—	2	2	no	—
724	C₂³×C₅₃	—	2	1	no	—
725	C₂³×C₅₃	—	4	1	no	—
726	C₂³×C₅₃	—	4	1	no	—
727	C₂³×C₅₃	—	4	1	no	—
728	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
729	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
730	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
731	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
732	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
733	C₂²×D₅₃	—	2	1	no	—
734	C₂²×D₅₃	—	2	1	no	—
735	C₂²×D₅₃	—	2	1	no	—
736	C₂²×D₅₃	—	4	2	no	—
737	C₂²×D₅₃	—	4	2	no	—
738	C₂²×D₅₃	—	4	2	no	—
739	C₂²×D₅₃	—	4	2	no	—
740	C₂²×D₅₃	—	8	1	no	—
741	C₂²×D₅₃	—	8	1	no	—
742	Q₈×C₅₃	—	2	1	no	—
743	Q₈×C₅₃	—	2	1	no	—
744	Q₈×C₅₃	—	4	2	no	—
745	Q₈×C₅₃	—	8	1	no	—
746	D₄×C₅₃	—	2	2	no	—
747	D₄×C₅₃	—	2	2	no	—
748	D₄×C₅₃	—	2	1	no	—
749	D₄×C₅₃	—	2	1	no	—
750	D₄×C₅₃	—	4	1	no	—
751	D₄×C₅₃	—	4	1	no	—
752	D₄×C₅₃	—	4	2	no	—
753	D₄×C₅₃	—	4	2	no	—
754	D₄×C₅₃	—	4	2	no	—
755	D₄×C₅₃	—	8	1	no	—
756	D₄×C₅₃	—	8	1	no	—
757	C₂×C₄×C₅₃	—	2	2	no	—
758	C₂×C₄×C₅₃	—	2	2	no	—
759	C₂×C₄×C₅₃	—	2	2	no	—
760	C₂×C₄×C₅₃	—	2	2	no	—
761	C₂×C₄×C₅₃	—	2	2	no	—
762	C₂×C₄×C₅₃	—	2	2	no	—
763	C₂×C₄×C₅₃	—	2	1	no	—
764	C₂×C₄×C₅₃	—	2	1	no	—
765	C₂×C₄×C₅₃	—	2	1	no	—
766	C₂×C₄×C₅₃	—	2	1	no	—
767	C₂×C₄×C₅₃	—	2	1	no	—
768	C₂×C₄×C₅₃	—	2	1	no	—
769	C₂×C₄×C₅₃	—	2	1	no	—
770	C₂×C₄×C₅₃	—	2	1	no	—
771	C₂×C₄×C₅₃	—	2	1	no	—
772	C₂×C₄×C₅₃	—	2	1	no	—
773	C₂×C₄×C₅₃	—	2	1	no	—
774	C₂×C₄×C₅₃	—	2	1	no	—
775	C₂×C₄×C₅₃	—	2	1	no	—
776	C₂×C₄×C₅₃	—	2	1	no	—
777	C₂×C₄×C₅₃	—	2	1	no	—
778	C₂×C₄×C₅₃	—	4	1	no	—
779	C₂×C₄×C₅₃	—	4	1	no	—
780	C₂×C₄×C₅₃	—	4	2	no	—
781	C₂×C₄×C₅₃	—	4	2	no	—
782	C₂×C₄×C₅₃	—	4	2	no	—
783	C₂×C₄×C₅₃	—	4	2	no	—
784	C₂×C₄×C₅₃	—	8	1	no	—
785	C₂×C₄×C₅₃	—	8	1	no	—
786	C₂×C₄×C₅₃	—	8	1	no	—
787	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
797	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
798	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
799	C₂²⋊D₅₃	—	2	4	no	—
800	C₂²⋊D₅₃	—	4	2	no	—
801	C₂²⋊D₅₃	—	4	2	no	—
802	C₂²⋊D₅₃	—	4	2	no	—
803	C₂²⋊D₅₃	—	4	2	no	—
804	C₂²⋊D₅₃	—	4	2	no	—
805	C₂²⋊D₅₃	—	4	2	no	—
806	C₂²⋊D₅₃	—	4	2	no	—
807	C₂²⋊D₅₃	—	4	2	no	—
808	C₂²⋊D₅₃	—	8	1	no	—
809	C₂²⋊D₅₃	—	8	1	no	—
810	C₂×Dic₅₃	—	2	1	no	—
811	C₂×Dic₅₃	—	2	1	no	—
812	C₂×Dic₅₃	—	2	1	no	—
813	C₂×Dic₅₃	—	2	1	no	—
814	C₂×Dic₅₃	—	2	1	no	—
815	C₂×Dic₅₃	—	4	2	no	—
816	C₂×Dic₅₃	—	4	2	no	—
817	D₂₁₂	—	2	1	no	—
818	D₂₁₂	—	2	1	no	—
819	D₂₁₂	—	2	1	no	—
820	D₂₁₂	—	2	1	no	—
821	D₂₁₂	—	2	1	no	—
822	D₂₁₂	—	4	2	no	—
823	D₂₁₂	—	4	2	no	—
824	D₂₁₂	—	4	2	no	—
825	D₂₁₂	—	8	1	no	—
826	D₂₁₂	C₂×#41	1	2	yes	—
827	C₄×D₅₃	—	2	4	no	—
828	C₄×D₅₃	—	4	2	no	—
829	C₄×D₅₃	—	4	2	no	—
830	C₄×D₅₃	—	4	2	no	—
831	C₄×D₅₃	—	4	2	no	—
832	C₄×D₅₃	—	4	2	no	—
833	C₄×D₅₃	—	4	2	no	—
834	C₄×D₅₃	—	4	2	no	—
835	C₄×D₅₃	—	8	1	no	—
836	Dic₁₀₆	—	2	1	no	—
837	Dic₁₀₆	—	2	1	no	—
838	Dic₁₀₆	—	2	1	no	—
839	Dic₁₀₆	—	2	1	no	—
840	Dic₁₀₆	—	2	1	no	—
841	Dic₁₀₆	—	4	2	no	—
842	Dic₁₀₆	—	4	2	no	—
843	Dic₁₀₆	C₂×#41	1	2	yes	—
844	#88322	—	2	1	no	—
845	#88322	—	2	1	no	—
846	#88322	—	2	1	no	—
847	#88322	—	2	1	no	—
848	#88322	—	2	1	no	—
849	#88322	—	2	1	no	—
850	#88322	—	2	1	no	—
851	#88322	—	2	1	no	—
852	#61141	—	53	1	no	maximal, Sylow
853	C₂²×C₅₃	—	2	1	no	—
854	C₂²×C₅₃	—	2	1	no	—
855	C₂²×C₅₃	—	2	1	no	—
856	C₂²×C₅₃	—	2	1	no	—
857	C₂²×C₅₃	—	2	1	no	—
858	C₂²×C₅₃	—	2	1	no	—
859	C₂²×C₅₃	—	2	1	no	—
860	C₂²×C₅₃	—	2	1	no	—
861	C₂²×C₅₃	—	2	1	no	—
862	C₂²×C₅₃	—	2	1	no	—
863	C₂²×C₅₃	—	2	1	no	—
864	C₂²×C₅₃	—	2	1	no	—
865	C₂²×C₅₃	—	2	1	no	—
866	C₂²×C₅₃	—	4	4	no	—
867	C₂²×C₅₃	—	4	1	no	—
868	C₂²×C₅₃	—	4	1	no	—
869	C₂²×C₅₃	—	4	1	no	—
870	C₂²×C₅₃	—	8	2	no	—
871	C₂²×C₅₃	#546	1	2	yes	—
872	C₂²×C₅₃	#575	1	2	yes	—
873	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
874	C₂×D₅₃	—	2	2	no	—
875	C₂×D₅₃	—	4	1	no	—
876	C₂×D₅₃	—	4	1	no	—
877	C₂×D₅₃	—	4	1	no	—
878	C₂×D₅₃	—	4	1	no	—
879	C₂×D₅₃	—	4	1	no	—
880	C₂×D₅₃	—	4	1	no	—
881	C₂×D₅₃	—	4	1	no	—
882	C₂×D₅₃	—	4	1	no	—
883	C₂×D₅₃	—	8	4	no	—
884	C₂×D₅₃	—	8	4	no	—
885	C₄×C₅₃	—	2	1	no	—
886	C₄×C₅₃	—	2	1	no	—
887	C₄×C₅₃	—	2	1	no	—
888	C₄×C₅₃	—	2	1	no	—
889	C₄×C₅₃	—	2	1	no	—
890	C₄×C₅₃	—	2	1	no	—
891	C₄×C₅₃	—	2	1	no	—
892	C₄×C₅₃	—	2	1	no	—
893	C₄×C₅₃	—	4	1	no	—
894	C₄×C₅₃	—	4	1	no	—
895	C₄×C₅₃	—	4	1	no	—
896	C₄×C₅₃	—	4	1	no	—
897	C₄×C₅₃	—	4	1	no	—
898	C₄×C₅₃	—	4	1	no	—
899	C₄×C₅₃	—	4	1	no	—
900	C₄×C₅₃	#546	1	2	yes	—
901	C₄×C₅₃	C₂²×#41	1	1	yes	characteristic
902	C₄×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
903	Dic₅₃	—	2	2	no	—
904	Dic₅₃	—	4	1	no	—
905	Dic₅₃	—	4	1	no	—
906	Dic₅₃	—	4	1	no	—
907	Dic₅₃	—	4	1	no	—
908	#3475	D₅₃	1	1	yes	characteristic, complemented
909	D₄×#41	—	53	1	no	—
910	#3321	—	53	1	no	—
911	#3320	—	53	1	no	—
912	#3319	—	53	1	no	—
913	#3318	—	53	1	no	—
914	#3317	—	53	1	no	—
915	#3316	—	53	1	no	—
916	#3315	—	53	1	no	—
917	#3314	—	53	1	no	—
918	#3313	—	53	1	no	—
919	#3312	—	53	1	no	—
920	#3311	—	53	1	no	—
921	#3310	—	53	1	no	—
922	#3309	—	53	1	no	—
923	#3308	—	53	1	no	—
924	#3307	—	53	1	no	—
925	#3306	—	53	1	no	—
926	#3135	—	53	1	no	—
927	#3091	—	53	1	no	—
928	#3091	—	53	1	no	—
929	#3076	—	53	1	no	—
930	#3054	—	53	1	no	—
931	#3050	—	53	1	no	—
932	#3035	—	53	1	no	—
933	#3002	—	53	1	no	—
934	#3002	—	53	1	no	—
935	#2943	—	53	1	no	—
936	C₂×#435	—	53	1	no	—
937	#2896	—	53	1	no	—
938	C₂×#416	—	53	1	no	—
939	C₂×C₅₃	—	2	2	no	—
940	C₂×C₅₃	—	2	2	no	—
941	C₂×C₅₃	—	4	1	no	—
942	C₂×C₅₃	—	4	1	no	—
943	C₂×C₅₃	—	4	1	no	—
944	C₂×C₅₃	—	8	1	no	—
945	C₂×C₅₃	C₂×#546	1	1	yes	characteristic
946	C₂×C₅₃	C₂×#575	1	1	yes	characteristic
947	C₂×C₅₃	#3584	1	1	yes	characteristic
948	D₅₃	—	4	2	no	—
949	D₅₃	—	8	1	no	—
950	D₅₃	—	8	1	no	—
951	C₂²×#41	—	53	1	no	—
952	C₂²×#41	—	53	1	no	—
953	C₂×#135	—	53	1	no	—
954	C₂×#135	—	53	1	no	—
955	C₂×#135	—	53	1	no	—
956	C₂²×M₁₆	—	53	1	no	—
957	C₂³×C₈	—	53	1	no	—
958	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
959	#555	C₂×D₅₃	1	1	yes	characteristic, complemented
960	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
961	#553	C₂×D₅₃	1	1	yes	characteristic
962	#553	C₂×D₅₃	1	1	yes	characteristic, complemented
963	#552	—	2	1	no	—
964	#552	C₂×D₅₃	1	1	yes	characteristic
965	#552	C₂×D₅₃	1	1	yes	characteristic, complemented
966	#551	—	2	1	no	—
967	#551	—	2	1	no	—
968	#550	—	53	1	no	—
969	D₄×Q₈	—	53	1	no	—
970	#548	—	53	1	no	—
971	#548	—	53	1	no	—
972	#547	—	53	1	no	—
973	#547	—	106	1	no	—
974	#547	C₂×D₅₃	1	1	yes	characteristic, complemented
975	#546	—	2	1	no	—
976	#546	—	53	1	no	—
977	#546	—	53	1	no	—
978	#546	—	106	1	no	—
979	#546	—	106	1	no	—
980	D₄²	—	53	1	no	—
981	D₄²	—	106	1	no	—
982	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
983	#532	—	53	1	no	—
984	#532	—	106	1	no	—
985	#529	—	2	1	no	—
986	#529	—	2	1	no	—
987	#529	—	2	1	no	—
988	#525	—	53	1	no	—
989	#525	—	53	1	no	—
990	#525	—	106	1	no	—
991	#525	—	106	1	no	—
992	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
993	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
994	C₄×#41	—	2	1	no	—
995	C₄×#41	—	53	1	no	—
996	C₄×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
997	C₂×C₄×D₄	—	106	1	no	—
998	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
999	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1000	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1001	#491	—	53	1	no	—
1002	#491	—	53	1	no	—
1003	#490	—	53	1	no	—
1004	#490	—	53	1	no	—
1005	#489	—	53	1	no	—
1006	#489	—	53	1	no	—
1007	#489	—	53	1	no	—
1008	#489	—	53	1	no	—
1009	#485	—	53	1	no	—
1010	#485	—	53	1	no	—
1011	#485	—	53	1	no	—
1012	#485	—	53	1	no	—
1013	#484	—	53	1	no	—
1014	#484	—	53	1	no	—
1015	#483	—	53	1	no	—
1016	#483	—	53	1	no	—
1017	#482	—	53	1	no	—
1018	#482	—	53	1	no	—
1019	#482	—	53	1	no	—
1020	#482	—	53	1	no	—
1021	#481	—	53	1	no	—
1022	#481	—	53	1	no	—
1023	#480	—	53	1	no	—
1024	#480	—	53	1	no	—
1025	#479	—	53	1	no	—
1026	#479	—	53	1	no	—
1027	#478	—	53	1	no	—
1028	#478	—	53	1	no	—
1029	#477	—	53	1	no	—
1030	#476	—	53	1	no	—
1031	#475	—	53	1	no	—
1032	#474	—	53	1	no	—
1033	#470	—	53	1	no	—
1034	#470	—	53	1	no	—
1035	#469	—	53	1	no	—
1036	#469	—	53	1	no	—
1037	#468	—	53	1	no	—
1038	#468	—	53	1	no	—
1039	#468	—	53	1	no	—
1040	#468	—	53	1	no	—
1041	#467	—	53	1	no	—
1042	#467	—	53	1	no	—
1043	#466	—	53	1	no	—
1044	#466	—	53	1	no	—
1045	#465	—	53	1	no	—
1046	#465	—	53	1	no	—
1047	#465	—	53	1	no	—
1048	#465	—	53	1	no	—
1049	#464	—	53	1	no	—
1050	#464	—	53	1	no	—
1051	#463	—	53	1	no	—
1052	#463	—	53	1	no	—
1053	#462	—	53	1	no	—
1054	#461	—	53	1	no	—
1055	#460	—	53	1	no	—
1056	#459	—	53	1	no	—
1057	#452	—	53	1	no	—
1058	#452	—	53	1	no	—
1059	#452	—	53	1	no	—
1060	#452	—	53	1	no	—
1061	#451	—	53	1	no	—
1062	#451	—	53	1	no	—
1063	#450	—	53	1	no	—
1064	#450	—	53	1	no	—
1065	#449	—	53	1	no	—
1066	#449	—	53	1	no	—
1067	#449	—	53	1	no	—
1068	#449	—	53	1	no	—
1069	#448	—	53	1	no	—
1070	#448	—	53	1	no	—
1071	#447	—	53	1	no	—
1072	#447	—	53	1	no	—
1073	#442	—	53	1	no	—
1074	#442	—	53	1	no	—
1075	#441	—	53	1	no	—
1076	#441	—	53	1	no	—
1077	#440	—	53	1	no	—
1078	#440	—	53	1	no	—
1079	#440	—	53	1	no	—
1080	#440	—	53	1	no	—
1081	#435	—	53	1	no	—
1082	#435	—	53	1	no	—
1083	#435	—	53	1	no	—
1084	#435	—	53	1	no	—
1085	#435	—	53	1	no	—
1086	#435	—	53	1	no	—
1087	#435	—	53	1	no	—
1088	#435	—	53	1	no	—
1089	#427	—	53	1	no	—
1090	#427	—	53	1	no	—
1091	#427	—	53	1	no	—
1092	C₂×C₄⋊C₈	—	53	1	no	—
1093	#419	—	53	1	no	—
1094	#419	—	53	1	no	—
1095	#418	—	53	1	no	—
1096	#418	—	53	1	no	—
1097	#417	—	53	1	no	—
1098	#417	—	53	1	no	—
1099	#417	—	53	1	no	—
1100	#417	—	53	1	no	—
1101	#416	—	53	1	no	—
1102	#416	—	53	1	no	—
1103	#416	—	53	1	no	—
1104	#416	—	53	1	no	—
1105	#416	—	53	1	no	—
1106	#416	—	53	1	no	—
1107	#416	—	53	1	no	—
1108	#416	—	53	1	no	—
1109	#416	—	53	1	no	—
1110	#416	—	53	1	no	—
1111	#416	—	53	1	no	—
1112	#416	—	53	1	no	—
1113	#416	—	53	1	no	—
1114	#416	—	53	1	no	—
1115	C₂×#103	—	53	1	no	—
1116	C₂×#103	—	53	1	no	—
1117	C₂×#102	—	53	1	no	—
1118	C₂×#102	—	53	1	no	—
1119	C₂×C₂²⋊C₈	—	53	1	no	—
1120	C₂×C₂²⋊C₈	—	53	1	no	—
1121	C₂×#97	—	53	1	no	—
1122	C₅₃	#61141	1	1	yes	characteristic, complemented, Sylow
1123	C₂×#41	—	2	1	no	—
1124	C₂×#41	—	53	1	no	—
1125	C₂×#41	—	53	1	no	—
1126	C₂×#41	—	53	1	no	—
1127	C₂×#41	—	53	1	no	—
1128	C₂×#41	—	53	1	no	—
1129	C₂×#41	—	53	1	no	—
1130	C₂×#41	—	53	1	no	—
1131	C₂×#41	—	106	4	no	—
1132	C₂×#41	—	106	4	no	—
1133	C₂×#41	—	106	1	no	—
1134	C₂×#41	—	106	1	no	—
1135	C₂×#41	—	106	1	no	—
1136	C₂×#41	—	106	1	no	—
1137	C₂×#41	—	212	2	no	—
1138	C₂×#41	—	212	2	no	—
1139	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1140	C₂²×Q₈	—	53	1	no	—
1141	C₂²×Q₈	—	53	1	no	—
1142	C₂²×D₄	—	53	1	no	—
1143	C₂²×D₄	—	53	1	no	—
1144	C₂²×D₄	—	106	1	no	—
1145	C₂²×D₄	—	106	1	no	—
1146	C₂²×D₄	—	106	1	no	—
1147	C₂²×D₄	C₂²⋊D₅₃	1	1	yes	characteristic
1148	C₂³×C₄	—	106	1	no	—
1149	C₂³×C₄	—	106	1	no	—
1150	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1151	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1152	#135	—	106	4	no	—
1153	#135	—	212	2	no	—
1154	#135	—	212	2	no	—
1155	C₂×Q₁₆	—	53	1	no	—
1156	C₂×Q₁₆	—	53	1	no	—
1157	C₂×Q₁₆	—	53	1	no	—
1158	C₂×SD₁₆	—	53	1	no	—
1159	C₂×SD₁₆	—	53	1	no	—
1160	C₂×SD₁₆	—	53	1	no	—
1161	C₂×SD₁₆	—	53	1	no	—
1162	C₂×SD₁₆	—	53	1	no	—
1163	C₂×SD₁₆	—	53	1	no	—
1164	C₂×D₈	—	53	1	no	—
1165	C₂×D₈	—	53	1	no	—
1166	C₂×D₈	—	53	1	no	—
1167	C₂×M₁₆	—	53	1	no	—
1168	C₂×M₁₆	—	53	1	no	—
1169	C₂×M₁₆	—	53	1	no	—
1170	C₂×M₁₆	—	53	1	no	—
1171	C₂×M₁₆	—	212	2	no	—
1172	C₂²×C₈	—	53	1	no	—
1173	C₂²×C₈	—	53	1	no	—
1174	C₂²×C₈	—	53	1	no	—
1175	C₂²×C₈	—	53	1	no	—
1176	C₂²×C₈	—	53	1	no	—
1177	C₂²×C₈	—	53	1	no	—
1178	C₂²×C₈	—	53	1	no	—
1179	C₂²×C₈	—	53	1	no	—
1180	C₂²×C₈	—	212	2	no	—
1181	C₄⋊Q₈	—	53	1	no	—
1182	C₄⋊Q₈	—	106	1	no	—
1183	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1184	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1185	#127	—	53	1	no	—
1186	#127	—	106	1	no	—
1187	#126	—	2	1	no	—
1188	#126	—	2	1	no	—
1189	#126	—	2	1	no	—
1190	#126	—	2	1	no	—
1191	#126	—	2	1	no	—
1192	#126	—	2	1	no	—
1193	#125	—	2	1	no	—
1194	#125	—	2	1	no	—
1195	#125	—	2	1	no	—
1196	#125	C₂²×D₅₃	1	1	yes	characteristic
1197	#125	C₂²×D₅₃	1	1	yes	characteristic
1198	#124	—	2	1	no	—
1199	#124	—	2	1	no	—
1200	#124	—	2	1	no	—
1201	#124	—	53	1	no	—
1202	#124	—	53	1	no	—
1203	#124	—	106	1	no	—
1204	#124	—	106	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	2	1	no	—
1212	#123	—	2	1	no	—
1213	#123	—	106	1	no	—
1214	#123	—	106	1	no	—
1215	#123	—	106	1	no	—
1216	#123	—	106	1	no	—
1217	#123	—	106	1	no	—
1218	#123	—	106	1	no	—
1219	C₂²⋊Q₈	—	2	1	no	—
1220	C₂²⋊Q₈	—	2	1	no	—
1221	C₂²⋊Q₈	—	2	1	no	—
1222	C₂²⋊Q₈	—	2	1	no	—
1223	C₂²⋊Q₈	—	2	1	no	—
1224	C₂²⋊Q₈	—	53	1	no	—
1225	C₂²⋊Q₈	—	53	1	no	—
1226	C₂²⋊Q₈	—	53	1	no	—
1227	C₂²⋊Q₈	—	53	1	no	—
1228	C₂²⋊Q₈	—	106	1	no	—
1229	C₂²⋊Q₈	—	106	1	no	—
1230	C₂²⋊Q₈	—	106	1	no	—
1231	C₂²⋊Q₈	—	106	1	no	—
1232	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1235	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	53	1	no	—
1240	#121	—	53	1	no	—
1241	#121	—	53	1	no	—
1242	#121	—	53	1	no	—
1243	#121	—	106	1	no	—
1244	#121	—	106	1	no	—
1245	#121	—	106	1	no	—
1246	#121	—	106	1	no	—
1247	#121	—	106	1	no	—
1248	#121	—	106	1	no	—
1249	#121	—	106	1	no	—
1250	#121	—	106	1	no	—
1251	#121	—	106	1	no	—
1252	#121	—	106	1	no	—
1253	#121	C₂²×D₅₃	1	1	yes	characteristic
1254	#121	C₂²×D₅₃	1	1	yes	characteristic
1255	#121	C₂²×D₅₃	1	1	yes	characteristic
1256	#121	C₂²×D₅₃	1	1	yes	characteristic
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	106	1	no	—
1260	#120	—	106	1	no	—
1261	#120	—	106	1	no	—
1262	#120	—	106	1	no	—
1263	#120	—	106	1	no	—
1264	#120	—	106	1	no	—
1265	C₄×Q₈	—	2	1	no	—
1266	C₄×Q₈	—	2	1	no	—
1267	C₄×Q₈	—	2	1	no	—
1268	C₄×Q₈	—	53	1	no	—
1269	C₄×Q₈	—	53	1	no	—
1270	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1271	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	53	1	no	—
1282	C₄×D₄	—	53	1	no	—
1283	C₄×D₄	—	106	1	no	—
1284	C₄×D₄	—	106	1	no	—
1285	C₄×D₄	—	106	1	no	—
1286	C₄×D₄	—	106	1	no	—
1287	C₄×D₄	—	106	1	no	—
1288	C₄×D₄	—	106	1	no	—
1289	C₄×D₄	—	106	1	no	—
1290	C₄×D₄	—	106	1	no	—
1291	C₄×D₄	—	106	1	no	—
1292	C₄×D₄	—	106	1	no	—
1293	C₄×D₄	—	106	1	no	—
1294	C₄×D₄	—	106	1	no	—
1295	C₄×D₄	C₂²⋊D₅₃	1	1	yes	characteristic
1296	C₄×D₄	C₂²⋊D₅₃	1	1	yes	characteristic
1297	C₄×D₄	C₂²⋊D₅₃	1	1	yes	characteristic
1298	C₄×D₄	C₂²⋊D₅₃	1	1	yes	characteristic
1299	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1300	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1301	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1302	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1303	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1304	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1305	#117	—	2	1	no	—
1306	#117	—	2	1	no	—
1307	#117	—	2	1	no	—
1308	#117	—	2	1	no	—
1309	#117	—	2	1	no	—
1310	#117	—	2	1	no	—
1311	#117	—	2	1	no	—
1312	#117	—	2	1	no	—
1313	#117	—	53	1	no	—
1314	#117	—	106	1	no	—
1315	#117	C₂²×D₅₃	1	1	yes	characteristic
1316	#117	C₂²×D₅₃	1	1	yes	characteristic
1317	#117	C₂²×D₅₃	1	1	yes	characteristic
1318	#117	C₂²×D₅₃	1	1	yes	characteristic
1319	#117	C₂²×D₅₃	1	1	yes	characteristic
1320	#117	C₂²×D₅₃	1	1	yes	characteristic
1321	#117	C₂²×D₅₃	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	106	1	no	—
1323	C₂×C₄⋊C₄	C₂²⋊D₅₃	1	1	yes	characteristic
1324	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1325	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1326	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1327	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	2	1	no	—
1330	C₂×C₂²⋊C₄	—	106	1	no	—
1331	C₂×C₂²⋊C₄	—	106	1	no	—
1332	C₂×C₂²⋊C₄	C₂²⋊D₅₃	1	1	yes	characteristic
1333	C₂×C₂²⋊C₄	C₂²⋊D₅₃	1	1	yes	characteristic
1334	C₂×C₄²	—	2	1	no	—
1335	C₂×C₄²	—	2	1	no	—
1336	C₂×C₄²	—	2	1	no	—
1337	C₂×C₄²	—	106	1	no	—
1338	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1339	#107	—	53	1	no	—
1340	#107	—	53	1	no	—
1341	#107	—	53	1	no	—
1342	#107	—	53	1	no	—
1343	#107	—	53	1	no	—
1344	#107	—	53	1	no	—
1345	#106	—	53	1	no	—
1346	#106	—	53	1	no	—
1347	#106	—	53	1	no	—
1348	#106	—	53	1	no	—
1349	#106	—	53	1	no	—
1350	#106	—	53	1	no	—
1351	C₄⋊C₈	—	53	1	no	—
1352	C₄⋊C₈	—	53	1	no	—
1353	C₄⋊C₈	—	53	1	no	—
1354	C₄⋊C₈	—	53	1	no	—
1355	#103	—	53	1	no	—
1356	#103	—	53	1	no	—
1357	#103	—	53	1	no	—
1358	#103	—	53	1	no	—
1359	#103	—	53	1	no	—
1360	#103	—	53	1	no	—
1361	#103	—	53	1	no	—
1362	#103	—	53	1	no	—
1363	#103	—	53	1	no	—
1364	#103	—	53	1	no	—
1365	#103	—	53	1	no	—
1366	#103	—	53	1	no	—
1367	#103	—	53	1	no	—
1368	#103	—	53	1	no	—
1369	#103	—	53	1	no	—
1370	#103	—	53	1	no	—
1371	#103	—	53	1	no	—
1372	#103	—	53	1	no	—
1373	#103	—	53	1	no	—
1374	#103	—	53	1	no	—
1375	#102	—	53	1	no	—
1376	#102	—	53	1	no	—
1377	#102	—	53	1	no	—
1378	#102	—	53	1	no	—
1379	#102	—	53	1	no	—
1380	#102	—	53	1	no	—
1381	#102	—	53	1	no	—
1382	#102	—	53	1	no	—
1383	#102	—	53	1	no	—
1384	#102	—	53	1	no	—
1385	#102	—	53	1	no	—
1386	#102	—	53	1	no	—
1387	#102	—	53	1	no	—
1388	#102	—	53	1	no	—
1389	#102	—	53	1	no	—
1390	#102	—	53	1	no	—
1391	#102	—	53	1	no	—
1392	#102	—	53	1	no	—
1393	#102	—	53	1	no	—
1394	#102	—	53	1	no	—
1395	C₂²⋊C₈	—	53	1	no	—
1396	C₂²⋊C₈	—	53	1	no	—
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	#97	—	53	1	no	—
1404	#97	—	53	1	no	—
1405	#97	—	53	1	no	—
1406	#97	—	53	1	no	—
1407	C₂⁴	—	106	1	no	—
1408	C₂⁴	—	106	1	no	—
1409	C₂⁴	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1410	C₂⁴	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1411	#41	—	2	2	no	—
1412	#41	—	2	2	no	—
1413	#41	—	4	4	no	—
1414	#41	—	53	4	no	—
1415	#41	—	106	2	no	—
1416	#41	—	106	2	no	—
1417	#41	—	106	2	no	—
1418	#41	—	106	2	no	—
1419	#41	—	106	2	no	—
1420	#41	—	106	2	no	—
1421	#41	—	106	2	no	—
1422	#41	—	106	2	no	—
1423	#41	—	106	2	no	—
1424	#41	—	212	4	no	—
1425	#41	—	212	4	no	—
1426	#41	—	212	1	no	—
1427	#41	—	212	1	no	—
1428	#41	—	212	1	no	—
1429	#41	—	212	1	no	—
1430	#41	—	212	4	no	—
1431	#41	—	212	4	no	—
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	53	1	no	—
1435	C₂×Q₈	—	53	1	no	—
1436	C₂×Q₈	—	53	1	no	—
1437	C₂×Q₈	—	106	2	no	—
1438	C₂×Q₈	—	106	2	no	—
1439	C₂×Q₈	—	106	1	no	—
1440	C₂×Q₈	—	106	1	no	—
1441	C₂×Q₈	—	212	1	no	—
1442	C₂×Q₈	—	212	1	no	—
1443	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	4	2	no	—
1450	C₂×D₄	—	53	1	no	—
1451	C₂×D₄	—	53	1	no	—
1452	C₂×D₄	—	53	1	no	—
1453	C₂×D₄	—	106	2	no	—
1454	C₂×D₄	—	106	2	no	—
1455	C₂×D₄	—	106	1	no	—
1456	C₂×D₄	—	106	1	no	—
1457	C₂×D₄	—	106	1	no	—
1458	C₂×D₄	—	106	1	no	—
1459	C₂×D₄	—	106	1	no	—
1460	C₂×D₄	—	106	1	no	—
1461	C₂×D₄	—	106	1	no	—
1462	C₂×D₄	—	106	1	no	—
1463	C₂×D₄	—	106	1	no	—
1464	C₂×D₄	—	106	1	no	—
1465	C₂×D₄	—	106	1	no	—
1466	C₂×D₄	—	106	1	no	—
1467	C₂×D₄	—	106	1	no	—
1468	C₂×D₄	—	106	1	no	—
1469	C₂×D₄	—	106	1	no	—
1470	C₂×D₄	—	212	1	no	—
1471	C₂×D₄	—	212	1	no	—
1472	C₂×D₄	—	212	4	no	—
1473	C₂×D₄	—	212	4	no	—
1474	C₂×D₄	—	212	4	no	—
1475	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1476	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1477	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1478	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1479	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1480	C₂²×C₄	—	2	2	no	—
1481	C₂²×C₄	—	2	2	no	—
1482	C₂²×C₄	—	2	2	no	—
1483	C₂²×C₄	—	2	2	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	106	1	no	—
1492	C₂²×C₄	—	106	1	no	—
1493	C₂²×C₄	—	106	1	no	—
1494	C₂²×C₄	—	106	1	no	—
1495	C₂²×C₄	—	106	1	no	—
1496	C₂²×C₄	—	106	1	no	—
1497	C₂²×C₄	—	106	1	no	—
1498	C₂²×C₄	—	106	1	no	—
1499	C₂²×C₄	—	106	1	no	—
1500	C₂²×C₄	—	106	1	no	—
1501	C₂²×C₄	—	106	1	no	—
1502	C₂²×C₄	—	212	4	no	—
1503	C₂²×C₄	—	212	4	no	—
1504	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1506	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1507	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1508	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1509	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1510	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1511	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1516	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1517	Q₁₆	—	106	2	no	—
1518	Q₁₆	—	212	1	no	—
1519	Q₁₆	—	212	1	no	—
1520	SD₁₆	—	106	2	no	—
1521	SD₁₆	—	106	2	no	—
1522	SD₁₆	—	212	1	no	—
1523	SD₁₆	—	212	1	no	—
1524	SD₁₆	—	212	1	no	—
1525	SD₁₆	—	212	1	no	—
1526	D₈	—	106	2	no	—
1527	D₈	—	212	1	no	—
1528	D₈	—	212	1	no	—
1529	M₁₆	—	212	1	no	—
1530	M₁₆	—	212	1	no	—
1531	M₁₆	—	212	1	no	—
1532	M₁₆	—	212	1	no	—
1533	C₂×C₈	—	53	1	no	—
1534	C₂×C₈	—	53	1	no	—
1535	C₂×C₈	—	53	1	no	—
1536	C₂×C₈	—	53	1	no	—
1537	C₂×C₈	—	53	1	no	—
1538	C₂×C₈	—	53	1	no	—
1539	C₂×C₈	—	53	1	no	—
1540	C₂×C₈	—	53	1	no	—
1541	C₂×C₈	—	106	2	no	—
1542	C₂×C₈	—	106	2	no	—
1543	C₂×C₈	—	106	2	no	—
1544	C₂×C₈	—	106	2	no	—
1545	C₂×C₈	—	212	1	no	—
1546	C₂×C₈	—	212	1	no	—
1547	C₂×C₈	—	212	1	no	—
1548	C₂×C₈	—	212	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	53	1	no	—
1566	C₄⋊C₄	—	53	1	no	—
1567	C₄⋊C₄	—	106	1	no	—
1568	C₄⋊C₄	—	106	1	no	—
1569	C₄⋊C₄	—	106	1	no	—
1570	C₄⋊C₄	—	106	1	no	—
1571	C₄⋊C₄	—	106	1	no	—
1572	C₄⋊C₄	—	106	1	no	—
1573	C₄⋊C₄	—	106	1	no	—
1574	C₄⋊C₄	—	106	1	no	—
1575	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1578	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1579	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1580	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1584	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	106	1	no	—
1603	C₂²⋊C₄	—	106	1	no	—
1604	C₂²⋊C₄	—	106	1	no	—
1605	C₂²⋊C₄	—	106	1	no	—
1606	C₂²⋊C₄	—	106	1	no	—
1607	C₂²⋊C₄	—	106	1	no	—
1608	C₂²⋊C₄	—	106	1	no	—
1609	C₂²⋊C₄	—	106	1	no	—
1610	C₂²⋊C₄	—	106	1	no	—
1611	C₂²⋊C₄	—	106	1	no	—
1612	C₂²⋊C₄	—	106	1	no	—
1613	C₂²⋊C₄	—	106	1	no	—
1614	C₂²⋊C₄	—	106	1	no	—
1615	C₂²⋊C₄	—	106	1	no	—
1616	C₂²⋊C₄	—	106	1	no	—
1617	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	2	1	no	—
1628	C₄²	—	2	1	no	—
1629	C₄²	—	2	1	no	—
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	2	1	no	—
1634	C₄²	—	106	1	no	—
1635	C₄²	—	106	1	no	—
1636	C₄²	—	106	1	no	—
1637	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1638	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1639	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1640	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1641	C₂³	—	2	2	no	—
1642	C₂³	—	2	2	no	—
1643	C₂³	—	2	2	no	—
1644	C₂³	—	2	1	no	—
1645	C₂³	—	4	1	no	—
1646	C₂³	—	4	1	no	—
1647	C₂³	—	4	1	no	—
1648	C₂³	—	106	1	no	—
1649	C₂³	—	106	1	no	—
1650	C₂³	—	106	1	no	—
1651	C₂³	—	424	1	no	—
1652	C₂³	—	424	1	no	—
1653	C₂³	—	212	2	no	—
1654	C₂³	—	212	2	no	—
1655	C₂³	—	212	2	no	—
1656	C₂³	—	212	2	no	—
1657	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1658	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1659	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1660	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1661	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	4	2	no	—
1665	Q₈	—	8	1	no	—
1666	Q₈	—	53	2	no	—
1667	Q₈	—	106	1	no	—
1668	Q₈	—	106	1	no	—
1669	Q₈	—	106	1	no	—
1670	Q₈	—	106	1	no	—
1671	Q₈	—	106	1	no	—
1672	Q₈	—	212	2	no	—
1673	Q₈	—	212	2	no	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	4	1	no	—
1679	D₄	—	4	1	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	4	2	no	—
1682	D₄	—	4	2	no	—
1683	D₄	—	8	1	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	53	2	no	—
1686	D₄	—	106	4	no	—
1687	D₄	—	106	1	no	—
1688	D₄	—	106	1	no	—
1689	D₄	—	106	1	no	—
1690	D₄	—	106	1	no	—
1691	D₄	—	106	1	no	—
1692	D₄	—	424	1	no	—
1693	D₄	—	424	1	no	—
1694	D₄	—	424	1	no	—
1695	D₄	—	212	2	no	—
1696	D₄	—	212	2	no	—
1697	D₄	—	212	2	no	—
1698	D₄	—	212	2	no	—
1699	D₄	—	212	2	no	—
1700	D₄	—	212	2	no	—
1701	D₄	—	212	2	no	—
1702	D₄	—	212	2	no	—
1703	D₄	—	212	2	no	—
1704	D₄	—	212	2	no	—
1705	D₄	—	212	2	no	—
1706	C₂×C₄	—	2	2	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	4	1	no	—
1728	C₂×C₄	—	4	1	no	—
1729	C₂×C₄	—	4	2	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	8	1	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	8	1	no	—
1736	C₂×C₄	—	106	1	no	—
1737	C₂×C₄	—	106	4	no	—
1738	C₂×C₄	—	106	1	no	—
1739	C₂×C₄	—	106	1	no	—
1740	C₂×C₄	—	106	1	no	—
1741	C₂×C₄	—	106	1	no	—
1742	C₂×C₄	—	424	1	no	—
1743	C₂×C₄	—	212	2	no	—
1744	C₂×C₄	—	212	2	no	—
1745	C₂×C₄	—	212	2	no	—
1746	C₂×C₄	—	212	2	no	—
1747	C₂×C₄	—	212	2	no	—
1748	C₂×C₄	—	212	2	no	—
1749	C₂×C₄	—	212	2	no	—
1750	C₂×C₄	—	212	2	no	—
1751	C₂×C₄	—	212	2	no	—
1752	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1753	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1754	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1755	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1761	C₂×C₄	#41×D₅₃	1	2	yes	—
1762	C₂×C₄	#13133263	1	2	yes	—
1763	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1764	C₈	—	106	1	no	—
1765	C₈	—	106	1	no	—
1766	C₈	—	106	1	no	—
1767	C₈	—	106	1	no	—
1768	C₈	—	106	1	no	—
1769	C₈	—	106	1	no	—
1770	C₈	—	106	1	no	—
1771	C₈	—	106	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	4	4	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	8	2	no	—
1790	C₂²	—	106	2	no	—
1791	C₂²	—	424	4	no	—
1792	C₂²	—	424	4	no	—
1793	C₂²	—	212	1	no	—
1794	C₂²	—	212	1	no	—
1795	C₂²	—	212	1	no	—
1796	C₂²	—	212	1	no	—
1797	C₂²	—	212	1	no	—
1798	C₂²	—	212	1	no	—
1799	C₂²	—	212	1	no	—
1800	C₂²	—	212	1	no	—
1801	C₂²	#16811261	1	2	yes	—
1802	C₂²	#16811421	1	2	yes	—
1803	C₂²	C₂³×C₂²⋊D₅₃	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	106	2	no	—
1820	C₄	—	212	1	no	—
1821	C₄	—	212	1	no	—
1822	C₄	—	212	1	no	—
1823	C₄	—	212	1	no	—
1824	C₄	#16811261	1	2	yes	—
1825	C₄	C₂×#41×D₅₃	1	1	yes	characteristic
1826	C₄	C₂×#13133263	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	1	no	—
1832	C₂	—	8	1	no	—
1833	C₂	—	424	1	no	—
1834	C₂	—	424	1	no	—
1835	C₂	—	212	2	no	—
1836	C₂	C₂×#16811261	1	1	yes	characteristic
1837	C₂	C₂×#16811421	1	1	yes	characteristic
1838	C₂	#20289486	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₅₃
commutator, cosocle	C₂×C₄×C₅₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅₃
Fitting	C₅₃×#3475	C₂
socle	C₂²×C₅₃	C₂³×D₄
hypercenter	#3475	D₅₃
hypocenter	C₅₃	#61141
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×D₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. D₄×#11719945	C₂	semidirect
2. #20286895	C₂	semidirect
3. #20286880	C₂	semidirect
4. #20286865	C₂	semidirect
5. #20286850	C₂	semidirect
6. #20286835	C₂	semidirect
7. #20286820	C₂	semidirect
8. #20286805	C₂	semidirect
9. #20286790	C₂	semidirect
10. #20286775	C₂	semidirect
11. #20286760	C₂	semidirect
12. #20286745	C₂	semidirect
13. #20286730	C₂	semidirect
14. #20286715	C₂	semidirect
15. #20286700	C₂	semidirect
16. #20286685	C₂	semidirect
17. #20286670	C₂	semidirect
18. #20285063	C₂	semidirect
19. #20284628	C₂	semidirect
20. #20284628	C₂	semidirect
21. #20284497	C₂	semidirect
22. #20284321	C₂	semidirect
23. #20284293	C₂	semidirect
24. #20284170	C₂	semidirect
25. #20283931	C₂	semidirect
26. #20283931	C₂	semidirect
27. #20283513	C₂	semidirect
28. C₂×#16810695	C₂	semidirect
29. #20283232	C₂	semidirect
30. C₂×#16810617	C₂	semidirect
31. C₅₃×#3475	C₂	semidirect
35. C₂×#13133237	C₂²	semidirect
36. C₂×#13133237	C₂²	semidirect
37. C₂²×#11719917	C₂²	semidirect
38. C₂³×#88322	C₂²	semidirect
59. #16810993	C₂²	semidirect
60. #16810993	C₂²	semidirect
61. #16810989	C₂²	semidirect
62. #16810989	C₂²	semidirect
63. #16810985	C₂²	semidirect
64. #16810985	C₂²	semidirect
65. #16810985	C₂²	semidirect
66. #16810985	C₂²	semidirect
67. #16810964	C₂²	semidirect
68. #16810964	C₂²	semidirect
69. #16810964	C₂²	semidirect
70. #16810964	C₂²	semidirect
71. #16810958	C₂²	semidirect
72. #16810958	C₂²	semidirect
73. #16810953	C₂²	semidirect
74. #16810953	C₂²	semidirect
75. #16810947	C₂²	semidirect
76. #16810947	C₂²	semidirect
77. #16810947	C₂²	semidirect
78. #16810947	C₂²	semidirect
79. #16810941	C₂²	semidirect
80. #16810941	C₂²	semidirect
81. #16810936	C₂²	semidirect
82. #16810936	C₂²	semidirect
83. #16810927	C₂²	semidirect
84. #16810927	C₂²	semidirect
85. #16810920	C₂²	semidirect
86. #16810920	C₂²	semidirect
87. #16810915	C₂²	semidirect
88. #16810910	C₂²	semidirect
89. #16810905	C₂²	semidirect
90. #16810900	C₂²	semidirect
91. #16810879	C₂²	semidirect
92. #16810879	C₂²	semidirect
93. #16810874	C₂²	semidirect
94. #16810874	C₂²	semidirect
95. #16810871	C₂²	semidirect
96. #16810871	C₂²	semidirect
97. #16810867	C₂²	semidirect
98. #16810867	C₂²	semidirect
99. #16810862	C₂²	semidirect
100. #16810862	C₂²	semidirect
101. #16810857	C₂²	semidirect
102. #16810857	C₂²	semidirect
103. #16810854	C₂²	semidirect
104. #16810854	C₂²	semidirect
105. #16810850	C₂²	semidirect
106. #16810850	C₂²	semidirect
107. #16810845	C₂²	semidirect
108. #16810845	C₂²	semidirect
109. #16810838	C₂²	semidirect
110. #16810838	C₂²	semidirect
111. #16810833	C₂²	semidirect
112. #16810828	C₂²	semidirect
113. #16810823	C₂²	semidirect
114. #16810818	C₂²	semidirect
115. #16810783	C₂²	semidirect
116. #16810783	C₂²	semidirect
117. #16810783	C₂²	semidirect
118. #16810783	C₂²	semidirect
119. #16810778	C₂²	semidirect
120. #16810778	C₂²	semidirect
121. #16810773	C₂²	semidirect
122. #16810773	C₂²	semidirect
123. #16810766	C₂²	semidirect
124. #16810766	C₂²	semidirect
125. #16810766	C₂²	semidirect
126. #16810766	C₂²	semidirect
127. #16810761	C₂²	semidirect
128. #16810761	C₂²	semidirect
129. #16810756	C₂²	semidirect
130. #16810756	C₂²	semidirect
131. #16810733	C₂²	semidirect
132. #16810733	C₂²	semidirect
133. #16810728	C₂²	semidirect
134. #16810728	C₂²	semidirect
135. #16810723	C₂²	semidirect
136. #16810723	C₂²	semidirect
137. #16810721	C₂²	semidirect
138. #16810721	C₂²	semidirect
141. #16810695	C₂²	semidirect
142. #16810695	C₂²	semidirect
143. #16810695	C₂²	semidirect
144. #16810695	C₂²	semidirect
145. #16810695	C₂²	semidirect
146. #16810695	C₂²	semidirect
147. #16810659	C₂²	semidirect
148. #16810659	C₂²	semidirect
149. #16810659	C₂²	semidirect
150. C₂×C₄⋊#88322	C₂²	semidirect
151. #16810631	C₂²	semidirect
152. #16810631	C₂²	semidirect
153. #16810627	C₂²	semidirect
154. #16810627	C₂²	semidirect
155. #16810622	C₂²	semidirect
156. #16810622	C₂²	semidirect
157. #16810622	C₂²	semidirect
158. #16810622	C₂²	semidirect
159. #16810619	C₂²	semidirect
163. #16810617	C₂²	semidirect
164. #16810617	C₂²	semidirect
165. #16810617	C₂²	semidirect
166. #16810617	C₂²	semidirect
167. #16810617	C₂²	semidirect
168. #16810617	C₂²	semidirect
169. #16810617	C₂²	semidirect
170. #16810617	C₂²	semidirect
171. #16810617	C₂²	semidirect
172. #16810617	C₂²	semidirect
173. C₂×#13133140	C₂²	semidirect
174. C₂×#13133140	C₂²	semidirect
175. C₂×#13133137	C₂²	semidirect
176. C₂×#13133137	C₂²	semidirect
177. C₂×C₂²⋊#88322	C₂²	semidirect
178. C₂×C₂²⋊#88322	C₂²	semidirect
179. C₂×#13133128	C₂²	semidirect
180. C₅₃×#556	C₂²	semidirect
181. C₅₃×#555	C₂²	semidirect
182. C₅₃×#554	C₂²	semidirect
184. C₅₃×#553	C₂²	semidirect
187. C₅₃×#552	C₂²	semidirect
190. C₅₃×#547	C₂²	semidirect
192. C₅₃×#533	C₂²	semidirect
196. C₅₃×#525	C₂²	semidirect
197. C₅₃×#525	C₂²	semidirect
199. C₄×#41×C₅₃	C₂²	semidirect
201. C₂×#117×C₅₃	C₂²	semidirect
202. C₂×#117×C₅₃	C₂²	semidirect
565. #11719945	#41	semidirect
908. #3475	D₅₃	semidirect
958. #556	C₂×D₅₃	semidirect
959. #555	C₂×D₅₃	semidirect
960. #554	C₂×D₅₃	semidirect
962. #553	C₂×D₅₃	semidirect
965. #552	C₂×D₅₃	semidirect
974. #547	C₂×D₅₃	semidirect
982. #533	C₂×D₅₃	semidirect
992. #525	C₂×D₅₃	semidirect
993. #525	C₂×D₅₃	semidirect
996. C₄×#41	C₂×D₅₃	semidirect
999. C₂×#117	C₂×D₅₃	semidirect
1000. C₂×#117	C₂×D₅₃	semidirect
1122. C₅₃	#61141	semidirect

Maximal subgroups

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

subgroup	index
D₄×#11719945	2
#20286895	2
#20286880	2
#20286865	2
#20286850	2
#20286835	2
#20286820	2
#20286805	2
#20286790	2
#20286775	2
#20286760	2
#20286745	2
#20286730	2
#20286715	2
#20286700	2
#20286685	2
#20286670	2
#20285063	2
#20284628	2
#20284497	2
#20284321	2
#20284293	2
#20284170	2
#20283931	2
#20283513	2
C₂×#16810695	2
#20283232	2
C₂×#16810617	2
C₅₃×#3475	2
#61141	53