Subgroups — #28329943

Order 13568.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291607	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291603	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291602	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291599	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291594	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291593	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291590	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291589	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291586	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291585	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291583	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291583	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291576	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291572	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291570	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291567	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291459	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291455	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291443	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291436	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291432	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811653	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291413	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291401	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291305	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291305	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291300	C₂	1	1	yes	maximal, characteristic, complemented
30	D₅₃⋊#408	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288202	C₂	1	1	yes	maximal, characteristic
32	C₂×#13133304	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13133304	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13133304	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13133304	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11719936	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₅₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
40	#16811657	C₂²	1	1	yes	characteristic, complemented
41	#16811657	C₂²	1	1	yes	characteristic, complemented
42	#16811657	C₂²	1	1	yes	characteristic, complemented
43	#16811657	C₂²	1	1	yes	characteristic, complemented
44	#16811657	C₂²	1	1	yes	characteristic, complemented
45	#16811657	C₂²	1	1	yes	characteristic, complemented
46	#16811656	C₂²	1	1	yes	characteristic, complemented
47	#16811656	C₂²	1	1	yes	characteristic, complemented
48	#16811656	C₂²	1	1	yes	characteristic, complemented
49	#16811656	C₂²	1	1	yes	characteristic, complemented
50	#16811656	C₂²	1	1	yes	characteristic, complemented
51	#16811656	C₂²	1	1	yes	characteristic, complemented
52	#16811655	C₂²	1	1	yes	characteristic, complemented
53	#16811655	C₂²	1	1	yes	characteristic, complemented
54	#16811655	C₂²	1	1	yes	characteristic, complemented
55	#16811655	C₂²	1	1	yes	characteristic, complemented
56	#16811655	C₂²	1	1	yes	characteristic, complemented
57	#16811655	C₂²	1	1	yes	characteristic, complemented
58	#16811654	C₂²	1	1	yes	characteristic, complemented
59	#16811654	C₂²	1	1	yes	characteristic, complemented
60	#16811654	C₂²	1	1	yes	characteristic, complemented
61	#16811654	C₂²	1	1	yes	characteristic, complemented
62	#16811653	C₂²	1	1	yes	characteristic
63	#16811653	C₂²	1	1	yes	characteristic
64	#16811653	C₂²	1	1	yes	characteristic
65	#16811653	C₂²	1	1	yes	characteristic
66	#16811653	C₂²	1	1	yes	characteristic, complemented
67	#16811653	C₂²	1	1	yes	characteristic, complemented
68	#16811653	C₂²	1	1	yes	characteristic, complemented
69	#16811653	C₂²	1	1	yes	characteristic, complemented
70	#16811653	C₂²	1	1	yes	characteristic, complemented
71	#16811653	C₂²	1	1	yes	characteristic, complemented
72	#16811653	C₂²	1	1	yes	characteristic, complemented
73	#16811653	C₂²	1	1	yes	characteristic, complemented
74	#16811653	C₂²	1	1	yes	characteristic, complemented
75	#16811653	C₂²	1	1	yes	characteristic, complemented
76	#16811653	C₂²	1	1	yes	characteristic, complemented
77	#16811653	C₂²	1	1	yes	characteristic, complemented
78	#16811653	C₂²	1	1	yes	characteristic, complemented
79	#16811653	C₂²	1	1	yes	characteristic, complemented
80	#16811653	C₂²	1	1	yes	characteristic, complemented
81	#16811653	C₂²	1	1	yes	characteristic, complemented
82	#16811653	C₂²	1	1	yes	characteristic, complemented
83	#16811653	C₂²	1	1	yes	characteristic, complemented
84	#16811653	C₂²	1	1	yes	characteristic, complemented
85	#16811653	C₂²	1	1	yes	characteristic, complemented
86	#16811652	C₂²	1	1	yes	characteristic, complemented
87	#16811652	C₂²	1	1	yes	characteristic, complemented
88	#16811652	C₂²	1	1	yes	characteristic, complemented
89	#16811652	C₂²	1	1	yes	characteristic, complemented
90	#16811652	C₂²	1	1	yes	characteristic, complemented
91	#16811652	C₂²	1	1	yes	characteristic, complemented
92	#16811651	C₂²	1	1	yes	characteristic, complemented
93	#16811651	C₂²	1	1	yes	characteristic, complemented
94	#16811651	C₂²	1	1	yes	characteristic, complemented
95	#16811651	C₂²	1	1	yes	characteristic, complemented
96	#16811651	C₂²	1	1	yes	characteristic, complemented
97	#16811651	C₂²	1	1	yes	characteristic, complemented
98	#16811650	C₂²	1	1	yes	characteristic, complemented
99	#16811650	C₂²	1	1	yes	characteristic, complemented
100	#16811650	C₂²	1	1	yes	characteristic, complemented
101	#16811650	C₂²	1	1	yes	characteristic, complemented
102	#16811650	C₂²	1	1	yes	characteristic, complemented
103	#16811650	C₂²	1	1	yes	characteristic, complemented
104	#16811648	C₂²	1	1	yes	characteristic, complemented
105	#16811648	C₂²	1	1	yes	characteristic, complemented
106	#16811648	C₂²	1	1	yes	characteristic, complemented
107	#16811648	C₂²	1	1	yes	characteristic, complemented
108	#16811647	C₂²	1	1	yes	characteristic, complemented
109	#16811647	C₂²	1	1	yes	characteristic, complemented
110	#16811647	C₂²	1	1	yes	characteristic, complemented
111	#16811647	C₂²	1	1	yes	characteristic, complemented
112	#16811646	C₂²	1	1	yes	characteristic, complemented
113	#16811646	C₂²	1	1	yes	characteristic, complemented
114	#16811645	C₂²	1	1	yes	characteristic, complemented
115	#16811644	C₂²	1	1	yes	characteristic, complemented
116	#16811643	C₂²	1	1	yes	characteristic, complemented
117	#16811643	C₂²	1	1	yes	characteristic, complemented
118	#16811641	C₂²	1	1	yes	characteristic, complemented
119	#16811640	C₂²	1	1	yes	characteristic, complemented
120	#16811629	C₂²	1	1	yes	characteristic, complemented
121	#16811629	C₂²	1	1	yes	characteristic, complemented
122	#16811626	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13133284	C₂²	1	1	yes	characteristic, complemented
124	#16811598	C₂²	1	1	yes	characteristic, complemented
125	#16811598	C₂²	1	1	yes	characteristic, complemented
126	#16811598	C₂²	1	1	yes	characteristic, complemented
127	#16811598	C₂²	1	1	yes	characteristic, complemented
128	#16811598	C₂²	1	1	yes	characteristic, complemented
129	#16811598	C₂²	1	1	yes	characteristic, complemented
130	#16811598	C₂²	1	1	yes	characteristic, complemented
131	#16811598	C₂²	1	1	yes	characteristic, complemented
132	#16811597	C₂²	1	1	yes	characteristic, complemented
133	#16811597	C₂²	1	1	yes	characteristic, complemented
134	#16811597	C₂²	1	1	yes	characteristic, complemented
135	#16811597	C₂²	1	1	yes	characteristic, complemented
136	#16811596	C₂²	1	1	yes	characteristic
137	#16811596	C₂²	1	1	yes	characteristic
138	#16811596	C₂²	1	1	yes	characteristic
139	#16811596	C₂²	1	1	yes	characteristic
140	#16811596	C₂²	1	1	yes	characteristic, complemented
141	#16811596	C₂²	1	1	yes	characteristic, complemented
142	#16811596	C₂²	1	1	yes	characteristic, complemented
143	#16811596	C₂²	1	1	yes	characteristic, complemented
144	#16811596	C₂²	1	1	yes	characteristic, complemented
145	#16811596	C₂²	1	1	yes	characteristic, complemented
146	#16811596	C₂²	1	1	yes	characteristic, complemented
147	#16811596	C₂²	1	1	yes	characteristic, complemented
148	#16811595	C₂²	1	1	yes	characteristic, complemented
149	#16811595	C₂²	1	1	yes	characteristic, complemented
150	#16811595	C₂²	1	1	yes	characteristic, complemented
151	#16811595	C₂²	1	1	yes	characteristic, complemented
152	#16811594	C₂²	1	1	yes	characteristic, complemented
153	#16811594	C₂²	1	1	yes	characteristic, complemented
154	#16811594	C₂²	1	1	yes	characteristic, complemented
155	#16811594	C₂²	1	1	yes	characteristic, complemented
156	#16811594	C₂²	1	1	yes	characteristic, complemented
157	#16811594	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
159	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
160	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
161	C₂×#13133274	C₂²	1	1	yes	characteristic, complemented
162	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
163	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
164	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
165	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
166	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
167	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
168	#16811587	C₂²	1	1	yes	characteristic, complemented
169	#16811587	C₂²	1	1	yes	characteristic, complemented
170	C₄×#11719940	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133272	C₂²	1	1	yes	characteristic, complemented
172	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
173	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
174	#16811294	C₄	1	1	yes	characteristic
175	#16811288	C₄	1	1	yes	characteristic
176	#16811283	C₄	1	1	yes	characteristic
177	#16811283	C₄	1	1	yes	characteristic
178	#16811274	C₄	1	1	yes	characteristic
179	#16811274	C₄	1	1	yes	characteristic
180	#16811265	C₄	1	1	yes	characteristic
181	#16811265	C₄	1	1	yes	characteristic
182	#16811265	C₄	1	1	yes	characteristic
183	#16811265	C₄	1	1	yes	characteristic
184	#16811261	C₄	1	1	yes	characteristic
185	#16811261	C₄	1	1	yes	characteristic
186	D₄×D₂₁₂	C₄	1	1	yes	characteristic
187	#16811257	C₄	1	1	yes	characteristic
188	#16811257	C₄	1	1	yes	characteristic
189	#16811174	C₂²	1	1	yes	characteristic
190	#16811168	C₂²	1	1	yes	characteristic
191	#16811168	C₂²	1	1	yes	characteristic
192	#16811136	C₂²	1	1	yes	characteristic
193	#16811136	C₂²	1	1	yes	characteristic
194	#16811131	C₂²	1	1	yes	characteristic
195	#16811131	C₂²	1	1	yes	characteristic
196	#16811131	C₂²	1	1	yes	characteristic
197	#16811131	C₂²	1	1	yes	characteristic
198	C₄×#11719947	C₂²	1	1	yes	characteristic
199	C₂×#13133179	C₂²	1	1	yes	characteristic
200	C₂×#13133179	C₂²	1	1	yes	characteristic
201	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#547	C₄	1	1	yes	characteristic
203	#13133304	—	4	2	no	—
204	#13133304	—	4	2	no	—
205	#13133304	—	4	2	no	—
206	#13133304	—	4	2	no	—
207	C₂×#11719936	—	4	2	no	—
208	C₂×#11719936	C₂³	1	1	yes	characteristic
209	C₂×#11719936	C₂³	1	1	yes	characteristic
210	C₂×#11719936	C₂³	1	1	yes	characteristic
211	C₂×#11719936	C₂³	1	1	yes	characteristic
212	C₂×#11719936	C₂³	1	1	yes	characteristic
213	C₂×#11719936	C₂³	1	1	yes	characteristic
214	C₂×#11719936	C₂³	1	1	yes	characteristic
215	C₂×#11719936	C₂³	1	1	yes	characteristic
216	C₂×#11719936	C₂³	1	1	yes	characteristic
217	C₂×#11719936	C₂³	1	1	yes	characteristic
218	C₂×#11719936	C₂³	1	1	yes	characteristic
219	C₂×#11719936	C₂³	1	1	yes	characteristic
220	D₅₃⋊M₁₆	—	4	2	no	—
221	D₅₃⋊M₁₆	—	4	2	no	—
222	C₂×#11719940	C₂³	1	1	yes	characteristic
223	C₂×#11719940	C₂³	1	1	yes	characteristic
224	C₂×#11719940	C₂³	1	1	yes	characteristic
225	C₂×#11719940	C₂³	1	1	yes	characteristic
226	C₂×#11719940	C₂³	1	1	yes	characteristic
227	C₂×#11719940	C₂³	1	1	yes	characteristic
228	C₂×#11719940	C₂³	1	1	yes	characteristic
229	C₂×#11719940	C₂³	1	1	yes	characteristic
230	C₂×D₅₃⋊C₈	—	4	2	no	—
231	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
232	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
234	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
237	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
238	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
239	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
240	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
243	C₂²×#88324	C₂³	1	1	yes	characteristic
244	C₂²×#88324	C₂³	1	1	yes	characteristic
245	C₂²×#88324	C₂³	1	1	yes	characteristic
246	C₂²×#88324	C₂³	1	1	yes	characteristic
247	C₂²×#88324	C₂³	1	1	yes	characteristic
248	C₂²×#88324	C₂³	1	1	yes	characteristic
249	C₂²×#88324	C₂³	1	1	yes	characteristic
250	C₂²×#88324	C₂³	1	1	yes	characteristic
251	#13133284	C₂³	1	1	yes	characteristic
252	#13133284	C₂³	1	1	yes	characteristic
253	#13133284	C₂³	1	1	yes	characteristic
254	#13133284	C₂³	1	1	yes	characteristic
255	#13133284	C₂³	1	1	yes	characteristic
256	#13133284	C₂³	1	1	yes	characteristic
257	#13133284	C₂³	1	1	yes	characteristic
258	#13133284	C₂³	1	1	yes	characteristic
259	#13133284	C₂³	1	1	yes	characteristic
260	#13133284	C₂³	1	1	yes	characteristic
261	C₄⋊#88324	C₂³	1	1	yes	characteristic
262	C₄⋊#88324	C₂³	1	1	yes	characteristic
263	C₄⋊#88324	C₂³	1	1	yes	characteristic
264	C₄⋊#88324	C₂³	1	1	yes	characteristic
265	C₄⋊#88324	C₂³	1	1	yes	characteristic
266	C₄⋊#88324	C₂³	1	1	yes	characteristic
267	#13133274	C₂³	1	1	yes	characteristic
268	#13133274	C₂³	1	1	yes	characteristic
269	#13133274	C₂³	1	1	yes	characteristic
270	#13133274	C₂³	1	1	yes	characteristic
271	#13133274	C₂³	1	1	yes	characteristic
272	#13133274	C₂³	1	1	yes	characteristic
273	#13133274	C₂³	1	1	yes	characteristic
274	#13133274	C₂³	1	1	yes	characteristic
275	#13133274	C₂³	1	1	yes	characteristic
276	#13133274	C₂³	1	1	yes	characteristic
277	#13133274	C₂³	1	1	yes	characteristic
278	#13133274	C₂³	1	1	yes	characteristic
279	#13133274	C₂³	1	1	yes	characteristic
280	#13133274	C₂³	1	1	yes	characteristic
281	#13133274	C₂³	1	1	yes	characteristic
282	#13133274	C₂³	1	1	yes	characteristic
283	#13133274	C₂³	1	1	yes	characteristic
284	#13133274	C₂³	1	1	yes	characteristic
285	#13133274	C₂³	1	1	yes	characteristic
286	#13133274	C₂³	1	1	yes	characteristic
287	#13133274	C₂³	1	1	yes	characteristic
288	#13133274	C₂³	1	1	yes	characteristic
289	#13133274	C₂³	1	1	yes	characteristic
290	#13133274	C₂³	1	1	yes	characteristic
291	#13133274	C₂³	1	1	yes	characteristic
292	#13133274	C₂³	1	1	yes	characteristic
293	#13133274	C₂³	1	1	yes	characteristic
294	#13133274	C₂³	1	1	yes	characteristic
295	#13133274	C₂³	1	1	yes	characteristic
296	#13133274	C₂³	1	1	yes	characteristic
297	#13133274	C₂³	1	1	yes	characteristic
298	#13133274	C₂³	1	1	yes	characteristic
299	C₂²⋊#88324	C₂³	1	1	yes	characteristic
300	C₂²⋊#88324	C₂³	1	1	yes	characteristic
301	C₂²⋊#88324	C₂³	1	1	yes	characteristic
302	C₂²⋊#88324	C₂³	1	1	yes	characteristic
303	C₂²⋊#88324	C₂³	1	1	yes	characteristic
304	C₂²⋊#88324	C₂³	1	1	yes	characteristic
305	C₂²⋊#88324	C₂³	1	1	yes	characteristic
306	C₂²⋊#88324	C₂³	1	1	yes	characteristic
307	C₂²⋊#88324	C₂³	1	1	yes	characteristic
308	C₂²⋊#88324	C₂³	1	1	yes	characteristic
309	C₂²⋊#88324	C₂³	1	1	yes	characteristic
310	C₂²⋊#88324	C₂³	1	1	yes	characteristic
311	C₂²⋊#88324	C₂³	1	1	yes	characteristic
312	C₂²⋊#88324	C₂³	1	1	yes	characteristic
313	C₂²⋊#88324	C₂³	1	1	yes	characteristic
314	C₂²⋊#88324	C₂³	1	1	yes	characteristic
315	#13133272	C₂³	1	1	yes	characteristic
316	#13133272	C₂³	1	1	yes	characteristic
317	#13133272	C₂³	1	1	yes	characteristic
318	#13133272	C₂³	1	1	yes	characteristic
319	#13133272	C₂³	1	1	yes	characteristic
320	#13133272	C₂³	1	1	yes	characteristic
321	#13133272	C₂³	1	1	yes	characteristic
322	#13133272	C₂³	1	1	yes	characteristic
323	#13133272	C₂³	1	1	yes	characteristic
324	#13133272	C₂³	1	1	yes	characteristic
325	C₄×#88324	C₂³	1	1	yes	characteristic
326	C₄×#88324	C₂³	1	1	yes	characteristic
327	C₄×#88324	C₂³	1	1	yes	characteristic
328	C₄×#88324	C₂³	1	1	yes	characteristic
329	C₄×#88324	C₂³	1	1	yes	characteristic
330	C₄×#88324	C₂³	1	1	yes	characteristic
331	C₂×#11719949	C₂³	1	1	yes	characteristic
332	C₂×#11719949	C₂³	1	1	yes	characteristic
333	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
334	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
335	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
336	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
337	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
338	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
339	C₂×#11719947	C₂³	1	1	yes	characteristic
340	C₂×#11719947	C₂³	1	1	yes	characteristic
341	C₂×#11719947	C₂³	1	1	yes	characteristic
342	C₂×#11719947	C₂³	1	1	yes	characteristic
343	C₂×#11719947	C₂³	1	1	yes	characteristic
344	#41×D₅₃	—	4	2	no	—
345	#41×D₅₃	—	4	2	no	—
346	#41×D₅₃	—	4	2	no	—
347	#41×D₅₃	—	4	2	no	—
348	C₂×Q₈×D₅₃	C₂×C₄	1	1	yes	characteristic
349	C₂×Q₈×D₅₃	C₂×C₄	1	1	yes	characteristic
350	C₂²×D₂₁₂	C₂×C₄	1	1	yes	characteristic
351	C₂²×D₂₁₂	C₂×C₄	1	1	yes	characteristic
352	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
353	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
354	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
355	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
356	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
357	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
358	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
359	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
360	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
361	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
362	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
363	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
364	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
365	#13133216	C₂×C₄	1	1	yes	characteristic
366	#13133216	C₂×C₄	1	1	yes	characteristic
367	#13133214	C₂×C₄	1	1	yes	characteristic
368	#13133213	C₂×C₄	1	1	yes	characteristic
369	#13133213	C₂×C₄	1	1	yes	characteristic
370	#13133206	C₂×C₄	1	1	yes	characteristic
371	#13133206	C₂×C₄	1	1	yes	characteristic
372	#13133203	C₂×C₄	1	1	yes	characteristic
373	#13133203	C₂×C₄	1	1	yes	characteristic
374	#13133203	C₂×C₄	1	1	yes	characteristic
375	#13133203	C₂×C₄	1	1	yes	characteristic
376	#13133202	C₂×C₄	1	1	yes	characteristic
377	#13133202	C₂×C₄	1	1	yes	characteristic
378	#13133202	C₂×C₄	1	1	yes	characteristic
379	#13133202	C₂×C₄	1	1	yes	characteristic
380	#13133200	C₂×C₄	1	1	yes	characteristic
381	#13133200	C₂×C₄	1	1	yes	characteristic
382	#13133200	C₂×C₄	1	1	yes	characteristic
383	#13133200	C₂×C₄	1	1	yes	characteristic
384	#13133195	C₂×C₄	1	1	yes	characteristic
385	#13133195	C₂×C₄	1	1	yes	characteristic
386	#13133195	C₂×C₄	1	1	yes	characteristic
387	#13133195	C₂×C₄	1	1	yes	characteristic
388	#13133195	C₂×C₄	1	1	yes	characteristic
389	#13133195	C₂×C₄	1	1	yes	characteristic
390	#13133195	C₂×C₄	1	1	yes	characteristic
391	#13133195	C₂×C₄	1	1	yes	characteristic
392	#13133193	C₂×C₄	1	1	yes	characteristic
393	#13133193	C₂×C₄	1	1	yes	characteristic
394	#13133192	C₂×C₄	1	1	yes	characteristic
395	#13133192	C₂×C₄	1	1	yes	characteristic
396	#13133192	C₂×C₄	1	1	yes	characteristic
397	#13133192	C₂×C₄	1	1	yes	characteristic
398	#13133192	C₂×C₄	1	1	yes	characteristic
399	#13133192	C₂×C₄	1	1	yes	characteristic
400	#13133191	C₂×C₄	1	1	yes	characteristic
401	#13133191	C₂×C₄	1	1	yes	characteristic
402	#13133191	C₂×C₄	1	1	yes	characteristic
403	#13133191	C₂×C₄	1	1	yes	characteristic
404	#13133190	C₂×C₄	1	1	yes	characteristic
405	#13133190	C₂×C₄	1	1	yes	characteristic
406	#13133190	C₂×C₄	1	1	yes	characteristic
407	#13133190	C₂×C₄	1	1	yes	characteristic
408	#13133190	C₂×C₄	1	1	yes	characteristic
409	#13133190	C₂×C₄	1	1	yes	characteristic
410	#13133190	C₂×C₄	1	1	yes	characteristic
411	#13133190	C₂×C₄	1	1	yes	characteristic
412	#13133189	C₂×C₄	1	1	yes	characteristic
413	#13133189	C₂×C₄	1	1	yes	characteristic
414	#13133189	C₂×C₄	1	1	yes	characteristic
415	#13133189	C₂×C₄	1	1	yes	characteristic
416	#13133187	C₂×C₄	1	1	yes	characteristic
417	#13133187	C₂×C₄	1	1	yes	characteristic
418	#13133187	C₂×C₄	1	1	yes	characteristic
419	#13133187	C₂×C₄	1	1	yes	characteristic
420	#13133187	C₂×C₄	1	1	yes	characteristic
421	#13133187	C₂×C₄	1	1	yes	characteristic
422	#13133187	C₂×C₄	1	1	yes	characteristic
423	#13133187	C₂×C₄	1	1	yes	characteristic
424	#13133185	C₂×C₄	1	1	yes	characteristic
425	#13133185	C₂×C₄	1	1	yes	characteristic
426	#13133185	C₂×C₄	1	1	yes	characteristic
427	#13133185	C₂×C₄	1	1	yes	characteristic
428	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
429	#13133182	C₂×C₄	1	1	yes	characteristic
430	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
431	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
432	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
433	#13133179	C₂×C₄	1	1	yes	characteristic
434	#13133179	C₂×C₄	1	1	yes	characteristic
435	#13133179	C₂×C₄	1	1	yes	characteristic
436	#13133179	C₂×C₄	1	1	yes	characteristic
437	#13133179	C₂×C₄	1	1	yes	characteristic
438	#13133179	C₂×C₄	1	1	yes	characteristic
439	#13133179	C₂×C₄	1	1	yes	characteristic
440	#13133179	C₂×C₄	1	1	yes	characteristic
441	#13133179	C₂³	1	1	yes	characteristic
442	#13133179	C₂³	1	1	yes	characteristic
443	#13133179	C₂³	1	1	yes	characteristic
444	#13133179	C₂³	1	1	yes	characteristic
445	#13133179	C₂³	1	1	yes	characteristic
446	#13133179	C₂³	1	1	yes	characteristic
447	#13133179	C₂³	1	1	yes	characteristic
448	#13133179	C₂³	1	1	yes	characteristic
449	#13133179	C₂³	1	1	yes	characteristic
450	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
451	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
452	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
453	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
454	#13133177	C₂×C₄	1	1	yes	characteristic
455	#13133177	C₂×C₄	1	1	yes	characteristic
456	#13133177	C₂³	1	1	yes	characteristic
457	#13133177	C₂³	1	1	yes	characteristic
458	#13133177	C₂³	1	1	yes	characteristic
459	#13133177	C₂³	1	1	yes	characteristic
460	#13133177	C₂³	1	1	yes	characteristic
461	#13133177	C₂³	1	1	yes	characteristic
462	#13133175	C₂³	1	1	yes	characteristic
463	#13133173	C₂³	1	1	yes	characteristic
464	#13133173	C₂³	1	1	yes	characteristic
465	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
466	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
467	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
468	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
469	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
472	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic
476	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic
477	C₄⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
478	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
481	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
482	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
483	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
484	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
485	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
486	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
487	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
488	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
489	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
490	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
496	#41×C₅₃	—	4	2	no	—
497	#41×C₅₃	—	4	2	no	—
498	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
533	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
534	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
535	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
536	#11719949	—	4	1	no	—
537	#11719949	—	4	1	no	—
538	#11719949	—	4	1	no	—
539	#11719949	—	4	1	no	—
540	Q₈×D₅₃	—	4	2	no	—
541	Q₈×D₅₃	—	4	2	no	—
542	#11719947	—	2	2	no	—
543	#11719947	—	2	2	no	—
544	#11719947	—	2	2	no	—
545	#11719947	—	2	2	no	—
546	#11719947	—	2	2	no	—
547	#11719947	—	2	2	no	—
548	#11719947	—	4	1	no	—
549	#11719947	—	4	1	no	—
550	#11719947	—	4	1	no	—
551	#11719947	—	4	1	no	—
552	D₄×D₅₃	—	4	2	no	—
553	D₄×D₅₃	—	4	2	no	—
554	D₄×D₅₃	—	4	2	no	—
555	D₄×D₅₃	—	4	2	no	—
556	D₄×D₅₃	—	4	2	no	—
557	D₄×D₅₃	—	4	2	no	—
558	D₄×D₅₃	—	4	2	no	—
559	#11719945	—	4	2	no	—
560	#11719945	—	4	2	no	—
561	#11719945	—	4	2	no	—
562	#11719945	—	4	2	no	—
563	#11719945	—	4	2	no	—
564	#11719945	—	4	2	no	—
565	C₂×D₂₁₂	—	4	2	no	—
566	C₂×D₂₁₂	—	4	2	no	—
567	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
568	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
569	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
570	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
571	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
572	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
573	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
574	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
575	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
576	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
577	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
578	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
579	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
580	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
581	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄×D₅₃	—	2	2	no	—
583	C₂×C₄×D₅₃	—	2	2	no	—
584	C₂×C₄×D₅₃	—	2	2	no	—
585	C₂×C₄×D₅₃	—	2	2	no	—
586	C₂×C₄×D₅₃	—	4	1	no	—
587	C₂×C₄×D₅₃	—	4	1	no	—
588	C₂×C₄×D₅₃	—	4	1	no	—
589	C₂×C₄×D₅₃	—	4	1	no	—
590	C₂×C₄×D₅₃	—	4	1	no	—
591	C₂×C₄×D₅₃	—	4	1	no	—
592	C₂×C₄×D₅₃	—	4	1	no	—
593	C₂×C₄×D₅₃	—	4	1	no	—
594	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
606	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
616	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
617	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
618	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
619	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
620	#11719940	—	2	2	no	—
621	#11719940	—	2	2	no	—
622	#11719940	—	2	2	no	—
623	#11719940	—	2	2	no	—
624	#11719940	—	4	1	no	—
625	#11719940	—	4	1	no	—
626	#11719940	—	4	1	no	—
627	#11719940	—	4	1	no	—
628	C₂×#88324	—	2	2	no	—
629	C₂×#88324	—	2	2	no	—
630	C₂×#88324	—	2	2	no	—
631	C₂×#88324	—	2	2	no	—
632	C₂×#88324	—	4	1	no	—
633	C₂×#88324	—	4	1	no	—
634	C₂×#88324	—	4	1	no	—
635	C₂×#88324	—	4	1	no	—
636	C₂×#88324	C₂⁴	1	1	yes	characteristic
637	C₂×#88324	C₂⁴	1	1	yes	characteristic
638	C₂×#88324	C₂⁴	1	1	yes	characteristic
639	C₂×#88324	C₂⁴	1	1	yes	characteristic
640	C₂×#88324	C₂⁴	1	1	yes	characteristic
641	C₂×#88324	C₂⁴	1	1	yes	characteristic
642	C₂×#88324	C₂⁴	1	1	yes	characteristic
643	C₂×#88324	C₂⁴	1	1	yes	characteristic
644	C₂×#88324	C₂⁴	1	1	yes	characteristic
645	C₂×#88324	C₂⁴	1	1	yes	characteristic
646	C₂×#88324	C₂⁴	1	1	yes	characteristic
647	C₂×#88324	C₂⁴	1	1	yes	characteristic
648	C₂×#88324	C₂⁴	1	1	yes	characteristic
649	C₂×#88324	C₂⁴	1	1	yes	characteristic
650	C₂×#88324	C₂⁴	1	1	yes	characteristic
651	C₂×#88324	C₂⁴	1	1	yes	characteristic
652	#11719936	—	4	1	no	—
653	#11719936	—	4	1	no	—
654	#11719936	—	4	1	no	—
655	#11719936	—	4	1	no	—
656	#11719936	—	4	1	no	—
657	#11719936	—	4	1	no	—
658	#11719936	—	4	1	no	—
659	#11719936	—	4	1	no	—
660	#11719936	—	4	1	no	—
661	#11719936	—	4	1	no	—
662	#11719936	—	4	1	no	—
663	#11719936	—	4	1	no	—
664	D₅₃⋊C₈	—	4	1	no	—
665	D₅₃⋊C₈	—	4	1	no	—
666	D₅₃⋊C₈	—	4	1	no	—
667	D₅₃⋊C₈	—	4	1	no	—
668	D₅₃⋊C₈	—	4	1	no	—
669	D₅₃⋊C₈	—	4	1	no	—
670	D₅₃⋊C₈	—	4	1	no	—
671	D₅₃⋊C₈	—	4	1	no	—
672	D₅₃⋊C₈	—	4	1	no	—
673	D₅₃⋊C₈	—	4	1	no	—
674	D₅₃⋊C₈	—	4	1	no	—
675	D₅₃⋊C₈	—	4	1	no	—
676	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
699	#11719921	C₂²×C₄	1	1	yes	characteristic
700	#11719921	C₂²×C₄	1	1	yes	characteristic
701	#11719921	C₂²×C₄	1	1	yes	characteristic
702	#11719921	C₂²×C₄	1	1	yes	characteristic
703	#11719921	C₂²×C₄	1	1	yes	characteristic
704	#11719921	C₂²×C₄	1	1	yes	characteristic
705	#11719921	C₂²×C₄	1	1	yes	characteristic
706	#11719921	C₂²×C₄	1	1	yes	characteristic
707	#11719921	C₂²×C₄	1	1	yes	characteristic
708	#11719921	C₂²×C₄	1	1	yes	characteristic
709	#11719921	C₂²×C₄	1	1	yes	characteristic
710	#11719921	C₂²×C₄	1	1	yes	characteristic
711	#11719921	C₂²×C₄	1	1	yes	characteristic
712	#11719921	C₂²×C₄	1	1	yes	characteristic
713	#11719921	C₂²×C₄	1	1	yes	characteristic
714	#11719921	C₂²×C₄	1	1	yes	characteristic
715	#11719921	C₂²×C₄	1	1	yes	characteristic
716	#11719921	C₂²×C₄	1	1	yes	characteristic
717	#11719921	C₂²×C₄	1	1	yes	characteristic
718	#11719921	C₂²×C₄	1	1	yes	characteristic
719	#11719921	C₂²×C₄	1	1	yes	characteristic
720	#11719921	C₂²×C₄	1	1	yes	characteristic
721	#11719921	C₂²×C₄	1	1	yes	characteristic
722	#11719921	C₂²×C₄	1	1	yes	characteristic
723	#11719921	C₂²×C₄	1	1	yes	characteristic
724	#11719921	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
727	#11719919	C₂²×C₄	1	1	yes	characteristic
728	#11719919	C₂²×C₄	1	1	yes	characteristic
729	#11719919	C₂²×C₄	1	1	yes	characteristic
730	#11719919	C₂²×C₄	1	1	yes	characteristic
731	#11719919	C₂²×C₄	1	1	yes	characteristic
732	#11719919	C₂²×C₄	1	1	yes	characteristic
733	#11719919	C₂²×C₄	1	1	yes	characteristic
734	#11719919	C₂²×C₄	1	1	yes	characteristic
735	#11719919	C₂²×C₄	1	1	yes	characteristic
736	#11719919	C₂²×C₄	1	1	yes	characteristic
737	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
738	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
739	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
740	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
741	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
742	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
743	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
744	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
745	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
746	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
747	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
748	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
749	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
750	C₂²×D₅₃	—	2	2	no	—
751	C₂²×D₅₃	—	2	2	no	—
752	C₂²×D₅₃	—	2	2	no	—
753	C₂²×D₅₃	—	2	2	no	—
754	C₂²×D₅₃	—	2	2	no	—
755	C₂²×D₅₃	—	4	1	no	—
756	C₂²×D₅₃	—	4	1	no	—
757	C₂²×D₅₃	—	4	1	no	—
758	C₂²×D₅₃	—	4	1	no	—
759	C₂²×D₅₃	—	4	1	no	—
760	C₂²×D₅₃	—	4	1	no	—
761	C₂²×D₅₃	—	4	1	no	—
762	C₂²×D₅₃	—	4	1	no	—
763	C₂²×D₅₃	—	4	1	no	—
764	C₂²×D₅₃	—	4	1	no	—
765	C₂²×D₅₃	—	4	1	no	—
766	C₂²×D₅₃	—	4	1	no	—
767	C₂²×D₅₃	—	4	1	no	—
768	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
769	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
770	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
771	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
772	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
773	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
774	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
775	Q₈×C₅₃	—	4	1	no	—
776	Q₈×C₅₃	—	4	1	no	—
777	D₄×C₅₃	—	2	2	no	—
778	D₄×C₅₃	—	2	2	no	—
779	D₄×C₅₃	—	2	2	no	—
780	D₄×C₅₃	—	4	1	no	—
781	D₄×C₅₃	—	4	1	no	—
782	D₄×C₅₃	—	4	1	no	—
783	C₂×C₄×C₅₃	—	2	2	no	—
784	C₂×C₄×C₅₃	—	2	2	no	—
785	C₂×C₄×C₅₃	—	4	1	no	—
786	C₂×C₄×C₅₃	—	4	1	no	—
787	C₂×C₄×C₅₃	—	4	1	no	—
788	C₂×C₄×C₅₃	—	4	1	no	—
789	C₂×C₄×C₅₃	—	4	1	no	—
790	C₂×C₄×C₅₃	—	4	1	no	—
791	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
792	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
793	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
794	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
795	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
796	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
797	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
798	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
799	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
800	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
801	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
802	C₂²⋊D₅₃	—	2	2	no	—
803	C₂²⋊D₅₃	—	2	2	no	—
804	C₂²⋊D₅₃	—	2	2	no	—
805	C₂²⋊D₅₃	—	2	2	no	—
806	C₂²⋊D₅₃	—	2	2	no	—
807	C₂²⋊D₅₃	—	2	2	no	—
808	C₂²⋊D₅₃	—	2	2	no	—
809	C₂²⋊D₅₃	—	4	1	no	—
810	C₂²⋊D₅₃	—	4	1	no	—
811	C₂²⋊D₅₃	—	4	1	no	—
812	C₂²⋊D₅₃	—	4	1	no	—
813	C₂²⋊D₅₃	—	4	1	no	—
814	C₂²⋊D₅₃	—	4	1	no	—
815	C₂²⋊D₅₃	—	4	1	no	—
816	C₂²⋊D₅₃	—	4	1	no	—
817	C₂²⋊D₅₃	—	4	1	no	—
818	C₂×Dic₅₃	—	2	1	no	—
819	C₂×Dic₅₃	—	2	1	no	—
820	C₂×Dic₅₃	—	2	1	no	—
821	C₂×Dic₅₃	—	2	1	no	—
822	C₂×Dic₅₃	—	2	1	no	—
823	C₂×Dic₅₃	—	2	1	no	—
824	C₂×Dic₅₃	—	4	1	no	—
825	C₂×Dic₅₃	—	4	1	no	—
826	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
827	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
828	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
829	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
830	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
831	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
832	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
833	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
834	C₂×Dic₅₃	H(5,𝔽₂)	1	2	yes	—
835	C₂×Dic₅₃	H(5,𝔽₂)	1	2	yes	—
836	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
837	D₂₁₂	—	2	2	no	—
838	D₂₁₂	—	2	2	no	—
839	D₂₁₂	—	2	2	no	—
840	D₂₁₂	—	4	1	no	—
841	D₂₁₂	—	4	1	no	—
842	D₂₁₂	—	4	1	no	—
843	D₂₁₂	—	4	1	no	—
844	D₂₁₂	—	4	1	no	—
845	D₂₁₂	—	4	1	no	—
846	D₂₁₂	—	4	1	no	—
847	D₂₁₂	—	4	1	no	—
848	D₂₁₂	—	4	1	no	—
849	D₂₁₂	—	4	1	no	—
850	D₂₁₂	—	4	1	no	—
851	D₂₁₂	—	4	1	no	—
852	C₄×D₅₃	—	2	2	no	—
853	C₄×D₅₃	—	2	2	no	—
854	C₄×D₅₃	—	2	2	no	—
855	C₄×D₅₃	—	2	2	no	—
856	C₄×D₅₃	—	2	1	no	—
857	C₄×D₅₃	—	2	1	no	—
858	C₄×D₅₃	—	2	1	no	—
859	C₄×D₅₃	—	2	1	no	—
860	C₄×D₅₃	—	2	1	no	—
861	C₄×D₅₃	—	2	1	no	—
862	C₄×D₅₃	—	2	1	no	—
863	C₄×D₅₃	—	2	1	no	—
864	C₄×D₅₃	—	2	1	no	—
865	C₄×D₅₃	—	2	1	no	—
866	C₄×D₅₃	—	2	1	no	—
867	C₄×D₅₃	—	2	1	no	—
868	C₄×D₅₃	—	2	1	no	—
869	C₄×D₅₃	—	2	1	no	—
870	C₄×D₅₃	—	4	1	no	—
871	C₄×D₅₃	—	4	1	no	—
872	C₄×D₅₃	—	4	1	no	—
873	C₄×D₅₃	—	4	1	no	—
874	C₄×D₅₃	—	4	1	no	—
875	C₄×D₅₃	—	4	1	no	—
876	C₄×D₅₃	—	4	1	no	—
877	C₄×D₅₃	—	4	1	no	—
878	C₄×D₅₃	—	4	1	no	—
879	C₄×D₅₃	—	4	1	no	—
880	Dic₁₀₆	—	2	2	no	—
881	Dic₁₀₆	—	2	2	no	—
882	Dic₁₀₆	—	2	2	no	—
883	Dic₁₀₆	—	4	1	no	—
884	Dic₁₀₆	—	4	1	no	—
885	#88324	—	2	1	no	—
886	#88324	—	2	1	no	—
887	#88324	—	2	1	no	—
888	#88324	—	2	1	no	—
889	#88324	—	2	1	no	—
890	#88324	—	2	1	no	—
891	#88324	—	2	1	no	—
892	#88324	—	2	1	no	—
893	#88324	—	2	1	no	—
894	#88324	—	2	1	no	—
895	#88324	—	2	1	no	—
896	#88324	—	2	1	no	—
897	#88324	—	2	1	no	—
898	#88324	—	2	1	no	—
899	#88324	—	2	1	no	—
900	#88324	—	2	1	no	—
901	#60240	—	53	1	no	maximal, Sylow
902	C₂²×C₅₃	—	2	1	no	—
903	C₂²×C₅₃	—	2	1	no	—
904	C₂²×C₅₃	—	2	1	no	—
905	C₂²×C₅₃	—	2	1	no	—
906	C₂²×C₅₃	—	2	1	no	—
907	C₂²×C₅₃	—	2	1	no	—
908	C₂²×C₅₃	—	2	1	no	—
909	C₂²×C₅₃	—	2	1	no	—
910	C₂²×C₅₃	—	2	1	no	—
911	C₂²×C₅₃	—	2	1	no	—
912	C₂²×C₅₃	—	2	1	no	—
913	C₂²×C₅₃	#518	1	2	yes	—
914	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
915	C₂×D₅₃	—	2	1	no	—
916	C₂×D₅₃	—	2	1	no	—
917	C₂×D₅₃	—	2	1	no	—
918	C₂×D₅₃	—	2	1	no	—
919	C₂×D₅₃	—	2	1	no	—
920	C₂×D₅₃	—	2	1	no	—
921	C₂×D₅₃	—	2	1	no	—
922	C₂×D₅₃	—	2	1	no	—
923	C₂×D₅₃	—	2	1	no	—
924	C₂×D₅₃	—	2	1	no	—
925	C₂×D₅₃	—	2	1	no	—
926	C₂×D₅₃	—	2	1	no	—
927	C₂×D₅₃	—	2	1	no	—
928	C₂×D₅₃	—	2	1	no	—
929	C₂×D₅₃	—	2	1	no	—
930	C₂×D₅₃	—	2	1	no	—
931	C₂×D₅₃	—	2	1	no	—
932	C₂×D₅₃	—	2	1	no	—
933	C₂×D₅₃	—	2	1	no	—
934	C₂×D₅₃	—	2	1	no	—
935	C₂×D₅₃	—	4	4	no	—
936	C₂×D₅₃	—	8	2	no	—
937	C₂×D₅₃	—	8	2	no	—
938	C₂×D₅₃	—	8	2	no	—
939	C₂×D₅₃	—	8	2	no	—
940	C₂×D₅₃	—	8	2	no	—
941	C₂×D₅₃	#568	1	2	yes	—
942	C₄×C₅₃	—	2	1	no	—
943	C₄×C₅₃	—	2	1	no	—
944	C₄×C₅₃	—	2	1	no	—
945	C₄×C₅₃	—	2	1	no	—
946	C₄×C₅₃	—	2	1	no	—
947	C₄×C₅₃	—	2	1	no	—
948	C₄×C₅₃	—	2	1	no	—
949	C₄×C₅₃	—	2	1	no	—
950	C₄×C₅₃	—	2	1	no	—
951	C₄×C₅₃	—	2	1	no	—
952	C₄×C₅₃	—	2	1	no	—
953	Dic₅₃	—	2	1	no	—
954	Dic₅₃	—	2	1	no	—
955	Dic₅₃	—	2	1	no	—
956	Dic₅₃	—	2	1	no	—
957	Dic₅₃	—	2	1	no	—
958	Dic₅₃	—	2	1	no	—
959	Dic₅₃	—	2	1	no	—
960	Dic₅₃	#518	1	2	yes	—
961	Dic₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
962	Dic₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
963	D₄×#41	—	53	1	no	—
964	#2981	—	53	1	no	—
965	#2981	—	53	1	no	—
966	#2980	—	53	1	no	—
967	#2980	—	53	1	no	—
968	#2978	—	53	1	no	—
969	#2978	—	53	1	no	—
970	#2977	—	53	1	no	—
971	#2977	—	53	1	no	—
972	#2976	—	53	1	no	—
973	#2976	—	53	1	no	—
974	#2976	—	53	1	no	—
975	#2976	—	53	1	no	—
976	#2974	—	53	1	no	—
977	#2974	—	53	1	no	—
978	#2973	—	53	1	no	—
979	#2973	—	53	1	no	—
980	#2935	—	53	1	no	—
981	D₄×M₁₆	—	53	1	no	—
982	#2933	—	53	1	no	—
983	#2933	—	53	1	no	—
984	#2932	—	53	1	no	—
985	#2930	—	53	1	no	—
986	#2929	—	53	1	no	—
987	C₂×#435	—	53	1	no	—
988	#2925	—	53	1	no	—
989	#2923	—	53	1	no	—
990	#2880	—	53	1	no	—
991	#2880	—	53	1	no	—
992	#2879	—	53	1	no	—
993	C₂×#408	—	53	1	no	—
994	C₂×C₅₃	—	2	2	no	—
995	C₂×C₅₃	—	4	1	no	—
996	C₂×C₅₃	—	4	1	no	—
997	C₂×C₅₃	—	4	1	no	—
998	C₂×C₅₃	C₂×#518	1	1	yes	characteristic
999	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
1000	C₂×C₅₃	#3573	1	1	yes	characteristic
1001	D₅₃	—	2	2	no	—
1002	D₅₃	—	4	1	no	—
1003	D₅₃	—	4	1	no	—
1004	D₅₃	—	4	1	no	—
1005	D₅₃	—	4	1	no	—
1006	D₅₃	—	4	1	no	—
1007	D₅₃	—	4	1	no	—
1008	C₂²×#41	—	53	1	no	—
1009	C₂²×#41	—	53	1	no	—
1010	C₂×#131	—	53	1	no	—
1011	C₂×#131	—	53	1	no	—
1012	C₂×#131	—	53	1	no	—
1013	C₂×#131	—	53	1	no	—
1014	C₂²×M₁₆	—	53	1	no	—
1015	C₂²×M₁₆	—	53	1	no	—
1016	C₂²×M₁₆	—	53	1	no	—
1017	C₂³×C₈	—	53	1	no	—
1018	#550	—	53	1	no	—
1019	D₄×Q₈	—	53	1	no	—
1020	#548	—	53	1	no	—
1021	#548	—	53	1	no	—
1022	#547	—	53	1	no	—
1023	#547	—	53	1	no	—
1024	#547	#6157	1	1	yes	characteristic
1025	#546	—	53	1	no	—
1026	#546	—	53	1	no	—
1027	#546	—	53	1	no	—
1028	#546	—	53	1	no	—
1029	#546	—	53	1	no	—
1030	#546	—	53	1	no	—
1031	D₄²	—	53	1	no	—
1032	D₄²	—	53	1	no	—
1033	D₄²	—	53	1	no	—
1034	#532	—	53	1	no	—
1035	#532	—	53	1	no	—
1036	#532	—	53	1	no	—
1037	#525	—	53	1	no	—
1038	#525	—	53	1	no	—
1039	#525	—	53	1	no	—
1040	#525	—	53	1	no	—
1041	#525	—	53	1	no	—
1042	#525	—	53	1	no	—
1043	C₄×#41	—	53	1	no	—
1044	C₂×C₄×D₄	—	53	1	no	—
1045	C₂×C₄×D₄	—	53	1	no	—
1046	C₂×C₄×D₄	—	53	1	no	—
1047	#436	—	53	1	no	—
1048	#436	—	53	1	no	—
1049	#436	—	53	1	no	—
1050	#436	—	53	1	no	—
1051	#436	—	53	1	no	—
1052	#436	—	53	1	no	—
1053	#436	—	53	1	no	—
1054	#436	—	53	1	no	—
1055	#436	—	53	1	no	—
1056	#436	—	53	1	no	—
1057	#436	—	53	1	no	—
1058	#436	—	53	1	no	—
1059	#435	—	53	1	no	—
1060	#435	—	53	1	no	—
1061	#435	—	53	1	no	—
1062	#435	—	53	1	no	—
1063	#435	—	53	1	no	—
1064	#435	—	53	1	no	—
1065	#435	—	53	1	no	—
1066	#435	—	53	1	no	—
1067	#435	—	53	1	no	—
1068	#435	—	53	1	no	—
1069	#435	—	53	1	no	—
1070	#435	—	53	1	no	—
1071	#435	—	53	1	no	—
1072	#435	—	53	1	no	—
1073	#435	—	53	1	no	—
1074	#435	—	53	1	no	—
1075	#435	—	53	1	no	—
1076	#435	—	53	1	no	—
1077	#435	—	53	1	no	—
1078	#435	—	53	1	no	—
1079	#435	—	53	1	no	—
1080	#435	—	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	#435	—	53	1	no	—
1090	#435	—	53	1	no	—
1091	#435	—	53	1	no	—
1092	#435	—	53	1	no	—
1093	#435	—	53	1	no	—
1094	#435	—	53	1	no	—
1095	#435	—	53	1	no	—
1096	#435	—	53	1	no	—
1097	#435	—	53	1	no	—
1098	#435	—	53	1	no	—
1099	C₈×D₄	—	53	1	no	—
1100	C₈×D₄	—	53	1	no	—
1101	C₈×D₄	—	53	1	no	—
1102	C₈×D₄	—	53	1	no	—
1103	C₈×D₄	—	53	1	no	—
1104	C₈×D₄	—	53	1	no	—
1105	C₈×D₄	—	53	1	no	—
1106	C₈×D₄	—	53	1	no	—
1107	C₈×D₄	—	53	1	no	—
1108	C₈×D₄	—	53	1	no	—
1109	C₈×D₄	—	53	1	no	—
1110	C₈×D₄	—	53	1	no	—
1111	#433	—	53	1	no	—
1112	#433	—	53	1	no	—
1113	#433	—	53	1	no	—
1114	#433	—	53	1	no	—
1115	#433	—	53	1	no	—
1116	#433	—	53	1	no	—
1117	#433	—	53	1	no	—
1118	#433	—	53	1	no	—
1119	#432	—	53	1	no	—
1120	#432	—	53	1	no	—
1121	#432	—	53	1	no	—
1122	#432	—	53	1	no	—
1123	#432	—	53	1	no	—
1124	#432	—	53	1	no	—
1125	#431	—	53	1	no	—
1126	#431	—	53	1	no	—
1127	#424	—	53	1	no	—
1128	#424	—	53	1	no	—
1129	#423	—	53	1	no	—
1130	C₂×C₄⋊C₈	—	53	1	no	—
1131	#408	—	53	1	no	—
1132	#408	—	53	1	no	—
1133	#408	—	53	1	no	—
1134	#408	—	53	1	no	—
1135	#408	—	53	1	no	—
1136	#408	—	53	1	no	—
1137	#408	—	53	1	no	—
1138	#408	—	53	1	no	—
1139	#408	—	53	1	no	—
1140	#408	—	53	1	no	—
1141	#408	—	53	1	no	—
1142	#408	—	53	1	no	—
1143	#408	—	53	1	no	—
1144	#408	—	53	1	no	—
1145	#408	—	53	1	no	—
1146	#408	—	53	1	no	—
1147	#408	—	53	1	no	—
1148	#408	—	53	1	no	—
1149	#408	—	53	1	no	—
1150	#408	—	53	1	no	—
1151	#408	—	53	1	no	—
1152	#408	—	53	1	no	—
1153	#408	—	53	1	no	—
1154	#408	—	53	1	no	—
1155	#407	—	53	1	no	—
1156	#407	—	53	1	no	—
1157	#407	—	53	1	no	—
1158	#407	—	53	1	no	—
1159	#407	—	53	1	no	—
1160	#407	—	53	1	no	—
1161	#407	—	53	1	no	—
1162	#407	—	53	1	no	—
1163	#407	—	53	1	no	—
1164	#407	—	53	1	no	—
1165	C₂×C₂²⋊C₈	—	53	1	no	—
1166	C₂×C₂²⋊C₈	—	53	1	no	—
1167	C₂×C₂²⋊C₈	—	53	1	no	—
1168	C₂×C₂²⋊C₈	—	53	1	no	—
1169	C₂×C₂²⋊C₈	—	53	1	no	—
1170	C₂×C₂²⋊C₈	—	53	1	no	—
1171	C₂×C₂²⋊C₈	—	53	1	no	—
1172	C₂×C₂²⋊C₈	—	53	1	no	—
1173	C₂×C₂²⋊C₈	—	53	1	no	—
1174	C₂×C₂²⋊C₈	—	53	1	no	—
1175	#405	—	53	1	no	—
1176	#405	—	53	1	no	—
1177	C₄×M₁₆	—	53	1	no	—
1178	C₂×#97	—	53	1	no	—
1179	C₅₃	#60240	1	1	yes	characteristic, complemented, Sylow
1180	C₂×#41	—	53	1	no	—
1181	C₂×#41	—	53	1	no	—
1182	C₂×#41	—	53	1	no	—
1183	C₂×#41	—	53	1	no	—
1184	C₂×#41	—	53	1	no	—
1185	C₂×#41	—	53	1	no	—
1186	C₂×#41	—	53	1	no	—
1187	C₂×#41	—	53	1	no	—
1188	C₂×#41	—	53	1	no	—
1189	C₂×#41	—	53	1	no	—
1190	C₂×#41	—	53	1	no	—
1191	C₂×#41	—	53	1	no	—
1192	C₂×#41	—	53	1	no	—
1193	C₂×#41	—	212	2	no	—
1194	C₂×#41	—	212	2	no	—
1195	C₂×#41	—	212	2	no	—
1196	C₂×#41	—	212	2	no	—
1197	C₂×#41	C₂×#6157	1	1	yes	characteristic
1198	C₂×#41	C₂×#6157	1	1	yes	characteristic
1199	C₂²×Q₈	—	53	1	no	—
1200	C₂²×Q₈	—	53	1	no	—
1201	C₂²×D₄	—	53	1	no	—
1202	C₂²×D₄	—	53	1	no	—
1203	C₂²×D₄	—	53	1	no	—
1204	C₂²×D₄	—	53	1	no	—
1205	C₂²×D₄	—	53	1	no	—
1206	C₂²×D₄	—	53	1	no	—
1207	C₂²×D₄	—	53	1	no	—
1208	C₂²×D₄	—	53	1	no	—
1209	C₂²×D₄	—	53	1	no	—
1210	C₂³×C₄	—	53	1	no	—
1211	C₂³×C₄	—	53	1	no	—
1212	C₂³×C₄	—	53	1	no	—
1213	C₂³×C₄	—	53	1	no	—
1214	C₂³×C₄	—	53	1	no	—
1215	C₂³×C₄	—	53	1	no	—
1216	#131	—	212	2	no	—
1217	#131	—	212	2	no	—
1218	#131	—	212	2	no	—
1219	#131	—	212	2	no	—
1220	C₂×M₁₆	—	53	1	no	—
1221	C₂×M₁₆	—	53	1	no	—
1222	C₂×M₁₆	—	53	1	no	—
1223	C₂×M₁₆	—	53	1	no	—
1224	C₂×M₁₆	—	53	1	no	—
1225	C₂×M₁₆	—	53	1	no	—
1226	C₂×M₁₆	—	53	1	no	—
1227	C₂×M₁₆	—	53	1	no	—
1228	C₂×M₁₆	—	53	1	no	—
1229	C₂×M₁₆	—	53	1	no	—
1230	C₂×M₁₆	—	53	1	no	—
1231	C₂×M₁₆	—	53	1	no	—
1232	C₂×M₁₆	—	53	1	no	—
1233	C₂×M₁₆	—	53	1	no	—
1234	C₂×M₁₆	—	53	1	no	—
1235	C₂×M₁₆	—	53	1	no	—
1236	C₂×M₁₆	—	53	1	no	—
1237	C₂×M₁₆	—	53	1	no	—
1238	C₂×M₁₆	—	53	1	no	—
1239	C₂×M₁₆	—	53	1	no	—
1240	C₂×M₁₆	—	212	2	no	—
1241	C₂×M₁₆	—	212	2	no	—
1242	C₂×M₁₆	—	212	2	no	—
1243	C₂²×C₈	—	53	1	no	—
1244	C₂²×C₈	—	53	1	no	—
1245	C₂²×C₈	—	53	1	no	—
1246	C₂²×C₈	—	53	1	no	—
1247	C₂²×C₈	—	53	1	no	—
1248	C₂²×C₈	—	53	1	no	—
1249	C₂²×C₈	—	53	1	no	—
1250	C₂²×C₈	—	53	1	no	—
1251	C₂²×C₈	—	53	1	no	—
1252	C₂²×C₈	—	53	1	no	—
1253	C₂²×C₈	—	53	1	no	—
1254	C₂²×C₈	—	53	1	no	—
1255	C₂²×C₈	—	53	1	no	—
1256	C₂²×C₈	—	53	1	no	—
1257	C₂²×C₈	—	53	1	no	—
1258	C₂²×C₈	—	53	1	no	—
1259	C₂²×C₈	—	53	1	no	—
1260	C₂²×C₈	—	53	1	no	—
1261	C₂²×C₈	—	53	1	no	—
1262	C₂²×C₈	—	53	1	no	—
1263	C₂²×C₈	—	212	2	no	—
1264	C₄⋊Q₈	—	53	1	no	—
1265	C₄⋊Q₈	—	53	1	no	—
1266	C₄⋊Q₈	C₂×#6157	1	1	yes	characteristic
1267	#127	—	53	1	no	—
1268	#127	—	53	1	no	—
1269	#127	—	53	1	no	—
1270	#124	—	53	1	no	—
1271	#124	—	53	1	no	—
1272	#124	—	53	1	no	—
1273	#124	—	53	1	no	—
1274	#124	—	53	1	no	—
1275	#124	—	53	1	no	—
1276	#123	—	53	1	no	—
1277	#123	—	53	1	no	—
1278	#123	—	53	1	no	—
1279	#123	—	53	1	no	—
1280	#123	—	53	1	no	—
1281	#123	—	53	1	no	—
1282	#123	—	53	1	no	—
1283	#123	—	53	1	no	—
1284	#123	C₂×#6157	1	1	yes	characteristic
1285	#123	C₂×#6157	1	1	yes	characteristic
1286	#123	C₂×#6157	1	1	yes	characteristic
1287	#123	C₂×#6157	1	1	yes	characteristic
1288	C₂²⋊Q₈	—	53	1	no	—
1289	C₂²⋊Q₈	—	53	1	no	—
1290	C₂²⋊Q₈	—	53	1	no	—
1291	C₂²⋊Q₈	—	53	1	no	—
1292	C₂²⋊Q₈	—	53	1	no	—
1293	C₂²⋊Q₈	—	53	1	no	—
1294	C₂²⋊Q₈	—	53	1	no	—
1295	C₂²⋊Q₈	—	53	1	no	—
1296	C₂²⋊Q₈	—	53	1	no	—
1297	C₂²⋊Q₈	—	53	1	no	—
1298	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1300	#121	—	53	1	no	—
1301	#121	—	53	1	no	—
1302	#121	—	53	1	no	—
1303	#121	—	53	1	no	—
1304	#121	—	53	1	no	—
1305	#121	—	53	1	no	—
1306	#121	—	53	1	no	—
1307	#121	—	53	1	no	—
1308	#121	—	53	1	no	—
1309	#121	—	53	1	no	—
1310	#121	—	53	1	no	—
1311	#121	—	53	1	no	—
1312	#121	—	53	1	no	—
1313	#121	—	53	1	no	—
1314	#121	—	53	1	no	—
1315	#121	—	53	1	no	—
1316	#121	—	53	1	no	—
1317	#121	—	53	1	no	—
1318	#121	—	53	1	no	—
1319	#121	—	53	1	no	—
1320	#121	—	53	1	no	—
1321	#121	—	53	1	no	—
1322	#121	C₂×#6157	1	1	yes	characteristic
1323	#121	C₂×#6157	1	1	yes	characteristic
1324	#120	—	53	1	no	—
1325	#120	—	53	1	no	—
1326	#120	—	53	1	no	—
1327	#120	—	53	1	no	—
1328	#120	—	53	1	no	—
1329	#120	—	53	1	no	—
1330	#120	—	53	1	no	—
1331	#120	—	53	1	no	—
1332	#120	—	53	1	no	—
1333	#120	—	53	1	no	—
1334	#120	—	53	1	no	—
1335	#120	—	53	1	no	—
1336	C₄×Q₈	—	53	1	no	—
1337	C₄×Q₈	—	53	1	no	—
1338	C₄×D₄	—	53	1	no	—
1339	C₄×D₄	—	53	1	no	—
1340	C₄×D₄	—	53	1	no	—
1341	C₄×D₄	—	53	1	no	—
1342	C₄×D₄	—	53	1	no	—
1343	C₄×D₄	—	53	1	no	—
1344	C₄×D₄	—	53	1	no	—
1345	C₄×D₄	—	53	1	no	—
1346	C₄×D₄	—	53	1	no	—
1347	C₄×D₄	—	53	1	no	—
1348	C₄×D₄	—	53	1	no	—
1349	C₄×D₄	—	53	1	no	—
1350	C₄×D₄	—	53	1	no	—
1351	C₄×D₄	—	53	1	no	—
1352	C₄×D₄	—	53	1	no	—
1353	C₄×D₄	—	53	1	no	—
1354	C₄×D₄	—	53	1	no	—
1355	C₄×D₄	—	53	1	no	—
1356	C₄×D₄	—	53	1	no	—
1357	C₄×D₄	—	53	1	no	—
1358	C₄×D₄	—	53	1	no	—
1359	C₄×D₄	—	53	1	no	—
1360	C₄×D₄	—	53	1	no	—
1361	C₄×D₄	—	53	1	no	—
1362	C₄×D₄	—	53	1	no	—
1363	C₄×D₄	—	53	1	no	—
1364	C₄×D₄	—	53	1	no	—
1365	C₄×D₄	—	53	1	no	—
1366	C₄×D₄	—	53	1	no	—
1367	C₄×D₄	—	53	1	no	—
1368	C₄×D₄	—	53	1	no	—
1369	C₄×D₄	—	53	1	no	—
1370	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1371	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1372	#117	—	53	1	no	—
1373	#117	—	53	1	no	—
1374	#117	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic
1377	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic
1378	C₂×C₂²⋊C₄	—	53	1	no	—
1379	C₂×C₂²⋊C₄	—	53	1	no	—
1380	C₂×C₂²⋊C₄	—	53	1	no	—
1381	C₂×C₂²⋊C₄	—	53	1	no	—
1382	C₂×C₂²⋊C₄	—	53	1	no	—
1383	C₂×C₂²⋊C₄	—	53	1	no	—
1384	C₂×C₄²	—	53	1	no	—
1385	C₂×C₄²	—	53	1	no	—
1386	C₂×C₄²	—	53	1	no	—
1387	C₄⋊C₈	—	53	1	no	—
1388	C₄⋊C₈	—	53	1	no	—
1389	C₄⋊C₈	—	53	1	no	—
1390	C₄⋊C₈	—	53	1	no	—
1391	C₄⋊C₈	—	53	1	no	—
1392	C₄⋊C₈	—	53	1	no	—
1393	C₄⋊C₈	—	53	1	no	—
1394	C₄⋊C₈	—	53	1	no	—
1395	C₄⋊C₈	—	53	1	no	—
1396	C₄⋊C₈	—	53	1	no	—
1397	C₄⋊C₈	—	53	1	no	—
1398	C₄⋊C₈	—	53	1	no	—
1399	C₄⋊C₈	—	53	1	no	—
1400	C₄⋊C₈	—	53	1	no	—
1401	C₄⋊C₈	—	53	1	no	—
1402	C₄⋊C₈	—	53	1	no	—
1403	C₂²⋊C₈	—	53	1	no	—
1404	C₂²⋊C₈	—	53	1	no	—
1405	C₂²⋊C₈	—	53	1	no	—
1406	C₂²⋊C₈	—	53	1	no	—
1407	C₂²⋊C₈	—	53	1	no	—
1408	C₂²⋊C₈	—	53	1	no	—
1409	C₂²⋊C₈	—	53	1	no	—
1410	C₂²⋊C₈	—	53	1	no	—
1411	C₂²⋊C₈	—	53	1	no	—
1412	C₂²⋊C₈	—	53	1	no	—
1413	C₂²⋊C₈	—	53	1	no	—
1414	C₂²⋊C₈	—	53	1	no	—
1415	C₂²⋊C₈	—	53	1	no	—
1416	C₂²⋊C₈	—	53	1	no	—
1417	C₂²⋊C₈	—	53	1	no	—
1418	C₂²⋊C₈	—	53	1	no	—
1419	C₂²⋊C₈	—	53	1	no	—
1420	C₂²⋊C₈	—	53	1	no	—
1421	C₂²⋊C₈	—	53	1	no	—
1422	C₂²⋊C₈	—	53	1	no	—
1423	C₂²⋊C₈	—	53	1	no	—
1424	C₂²⋊C₈	—	53	1	no	—
1425	C₂²⋊C₈	—	53	1	no	—
1426	C₂²⋊C₈	—	53	1	no	—
1427	C₂²⋊C₈	—	53	1	no	—
1428	C₂²⋊C₈	—	53	1	no	—
1429	C₂²⋊C₈	—	53	1	no	—
1430	C₂²⋊C₈	—	53	1	no	—
1431	C₂²⋊C₈	—	53	1	no	—
1432	C₂²⋊C₈	—	53	1	no	—
1433	C₂²⋊C₈	—	53	1	no	—
1434	C₂²⋊C₈	—	53	1	no	—
1435	C₂²⋊C₈	—	53	1	no	—
1436	C₂²⋊C₈	—	53	1	no	—
1437	C₂²⋊C₈	—	53	1	no	—
1438	C₂²⋊C₈	—	53	1	no	—
1439	C₂²⋊C₈	—	53	1	no	—
1440	C₂²⋊C₈	—	53	1	no	—
1441	C₂²⋊C₈	—	53	1	no	—
1442	C₂²⋊C₈	—	53	1	no	—
1443	C₂²⋊C₈	—	53	1	no	—
1444	C₂²⋊C₈	—	53	1	no	—
1445	C₂²⋊C₈	—	53	1	no	—
1446	C₂²⋊C₈	—	53	1	no	—
1447	C₂²⋊C₈	—	53	1	no	—
1448	C₂²⋊C₈	—	53	1	no	—
1449	C₂²⋊C₈	—	53	1	no	—
1450	C₂²⋊C₈	—	53	1	no	—
1451	#97	—	53	1	no	—
1452	#97	—	53	1	no	—
1453	#97	—	53	1	no	—
1454	#97	—	53	1	no	—
1455	#97	—	53	1	no	—
1456	#97	—	53	1	no	—
1457	#97	—	53	1	no	—
1458	#97	—	53	1	no	—
1459	#97	—	53	1	no	—
1460	#97	—	53	1	no	—
1461	C₄×C₈	—	53	1	no	—
1462	C₄×C₈	—	53	1	no	—
1463	C₄×C₈	—	53	1	no	—
1464	C₄×C₈	—	53	1	no	—
1465	C₄×C₈	—	53	1	no	—
1466	C₄×C₈	—	53	1	no	—
1467	C₂⁴	—	53	1	no	—
1468	C₂⁴	—	53	1	no	—
1469	C₂⁴	—	53	1	no	—
1470	C₂⁴	—	53	1	no	—
1471	C₂⁴	—	53	1	no	—
1472	C₂⁴	—	53	1	no	—
1473	#41	—	4	2	no	—
1474	#41	—	4	2	no	—
1475	#41	—	106	2	no	—
1476	#41	—	106	2	no	—
1477	#41	—	106	2	no	—
1478	#41	—	106	2	no	—
1479	#41	—	106	2	no	—
1480	#41	—	106	2	no	—
1481	#41	—	212	2	no	—
1482	#41	—	212	2	no	—
1483	#41	—	212	2	no	—
1484	#41	—	212	2	no	—
1485	#41	—	212	2	no	—
1486	#41	—	212	2	no	—
1487	#41	—	212	1	no	—
1488	#41	—	212	1	no	—
1489	#41	—	212	1	no	—
1490	#41	—	212	1	no	—
1491	#41	—	212	1	no	—
1492	#41	—	212	1	no	—
1493	#41	—	212	1	no	—
1494	#41	—	212	1	no	—
1495	C₂×Q₈	—	53	1	no	—
1496	C₂×Q₈	—	53	1	no	—
1497	C₂×Q₈	—	53	1	no	—
1498	C₂×Q₈	—	53	1	no	—
1499	C₂×Q₈	—	53	1	no	—
1500	C₂×Q₈	—	212	2	no	—
1501	C₂×Q₈	—	212	2	no	—
1502	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1503	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1504	C₂×D₄	—	53	1	no	—
1505	C₂×D₄	—	53	1	no	—
1506	C₂×D₄	—	53	1	no	—
1507	C₂×D₄	—	53	1	no	—
1508	C₂×D₄	—	53	1	no	—
1509	C₂×D₄	—	53	1	no	—
1510	C₂×D₄	—	53	1	no	—
1511	C₂×D₄	—	53	1	no	—
1512	C₂×D₄	—	53	1	no	—
1513	C₂×D₄	—	53	1	no	—
1514	C₂×D₄	—	53	1	no	—
1515	C₂×D₄	—	53	1	no	—
1516	C₂×D₄	—	53	1	no	—
1517	C₂×D₄	—	53	1	no	—
1518	C₂×D₄	—	53	1	no	—
1519	C₂×D₄	—	53	1	no	—
1520	C₂×D₄	—	53	1	no	—
1521	C₂×D₄	—	53	1	no	—
1522	C₂×D₄	—	53	1	no	—
1523	C₂×D₄	—	53	1	no	—
1524	C₂×D₄	—	53	1	no	—
1525	C₂×D₄	—	53	1	no	—
1526	C₂×D₄	—	53	1	no	—
1527	C₂×D₄	—	53	1	no	—
1528	C₂×D₄	—	53	1	no	—
1529	C₂×D₄	—	53	1	no	—
1530	C₂×D₄	—	53	1	no	—
1531	C₂×D₄	—	53	1	no	—
1532	C₂×D₄	—	53	1	no	—
1533	C₂×D₄	—	53	1	no	—
1534	C₂×D₄	—	53	1	no	—
1535	C₂×D₄	—	212	2	no	—
1536	C₂×D₄	—	212	2	no	—
1537	C₂×D₄	—	212	2	no	—
1538	C₂×D₄	—	212	2	no	—
1539	C₂×D₄	—	212	2	no	—
1540	C₂×D₄	—	212	2	no	—
1541	C₂×D₄	—	212	2	no	—
1542	C₂×D₄	—	212	2	no	—
1543	C₂×D₄	—	212	2	no	—
1544	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1545	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1546	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1547	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1548	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1549	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1550	C₂²×C₄	—	53	1	no	—
1551	C₂²×C₄	—	53	1	no	—
1552	C₂²×C₄	—	53	1	no	—
1553	C₂²×C₄	—	53	1	no	—
1554	C₂²×C₄	—	53	1	no	—
1555	C₂²×C₄	—	53	1	no	—
1556	C₂²×C₄	—	53	1	no	—
1557	C₂²×C₄	—	53	1	no	—
1558	C₂²×C₄	—	53	1	no	—
1559	C₂²×C₄	—	53	1	no	—
1560	C₂²×C₄	—	53	1	no	—
1561	C₂²×C₄	—	53	1	no	—
1562	C₂²×C₄	—	53	1	no	—
1563	C₂²×C₄	—	53	1	no	—
1564	C₂²×C₄	—	53	1	no	—
1565	C₂²×C₄	—	53	1	no	—
1566	C₂²×C₄	—	53	1	no	—
1567	C₂²×C₄	—	53	1	no	—
1568	C₂²×C₄	—	53	1	no	—
1569	C₂²×C₄	—	53	1	no	—
1570	C₂²×C₄	—	53	1	no	—
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	1	no	—
1574	C₂²×C₄	—	53	1	no	—
1575	C₂²×C₄	—	53	1	no	—
1576	C₂²×C₄	—	53	1	no	—
1577	C₂²×C₄	—	106	2	no	—
1578	C₂²×C₄	—	106	2	no	—
1579	C₂²×C₄	—	106	2	no	—
1580	C₂²×C₄	—	106	2	no	—
1581	C₂²×C₄	—	212	1	no	—
1582	C₂²×C₄	—	212	1	no	—
1583	C₂²×C₄	—	212	1	no	—
1584	C₂²×C₄	—	212	1	no	—
1585	C₂²×C₄	—	212	1	no	—
1586	C₂²×C₄	—	212	1	no	—
1587	C₂²×C₄	—	212	1	no	—
1588	C₂²×C₄	—	212	1	no	—
1589	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1590	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1591	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1592	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1593	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1594	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1595	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1596	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1597	M₁₆	—	106	2	no	—
1598	M₁₆	—	106	2	no	—
1599	M₁₆	—	106	2	no	—
1600	M₁₆	—	106	2	no	—
1601	M₁₆	—	212	1	no	—
1602	M₁₆	—	212	1	no	—
1603	M₁₆	—	212	1	no	—
1604	M₁₆	—	212	1	no	—
1605	M₁₆	—	212	1	no	—
1606	M₁₆	—	212	1	no	—
1607	M₁₆	—	212	1	no	—
1608	M₁₆	—	212	1	no	—
1609	M₁₆	—	212	1	no	—
1610	M₁₆	—	212	1	no	—
1611	M₁₆	—	212	1	no	—
1612	M₁₆	—	212	1	no	—
1613	M₁₆	—	212	1	no	—
1614	M₁₆	—	212	1	no	—
1615	M₁₆	—	212	1	no	—
1616	M₁₆	—	212	1	no	—
1617	C₂×C₈	—	53	1	no	—
1618	C₂×C₈	—	53	1	no	—
1619	C₂×C₈	—	53	1	no	—
1620	C₂×C₈	—	53	1	no	—
1621	C₂×C₈	—	53	1	no	—
1622	C₂×C₈	—	53	1	no	—
1623	C₂×C₈	—	53	1	no	—
1624	C₂×C₈	—	53	1	no	—
1625	C₂×C₈	—	53	1	no	—
1626	C₂×C₈	—	53	1	no	—
1627	C₂×C₈	—	53	1	no	—
1628	C₂×C₈	—	53	1	no	—
1629	C₂×C₈	—	53	1	no	—
1630	C₂×C₈	—	53	1	no	—
1631	C₂×C₈	—	53	1	no	—
1632	C₂×C₈	—	53	1	no	—
1633	C₂×C₈	—	106	2	no	—
1634	C₂×C₈	—	106	2	no	—
1635	C₂×C₈	—	106	2	no	—
1636	C₂×C₈	—	106	2	no	—
1637	C₂×C₈	—	212	1	no	—
1638	C₂×C₈	—	212	1	no	—
1639	C₂×C₈	—	212	1	no	—
1640	C₂×C₈	—	212	1	no	—
1641	C₂×C₈	—	212	1	no	—
1642	C₂×C₈	—	212	1	no	—
1643	C₂×C₈	—	212	1	no	—
1644	C₂×C₈	—	212	1	no	—
1645	C₂×C₈	—	212	1	no	—
1646	C₂×C₈	—	212	1	no	—
1647	C₂×C₈	—	212	1	no	—
1648	C₂×C₈	—	212	1	no	—
1649	C₂×C₈	—	212	1	no	—
1650	C₂×C₈	—	212	1	no	—
1651	C₂×C₈	—	212	1	no	—
1652	C₂×C₈	—	212	1	no	—
1653	C₄⋊C₄	—	53	1	no	—
1654	C₄⋊C₄	—	53	1	no	—
1655	C₄⋊C₄	—	53	1	no	—
1656	C₄⋊C₄	—	53	1	no	—
1657	C₄⋊C₄	—	53	1	no	—
1658	C₄⋊C₄	—	53	1	no	—
1659	C₄⋊C₄	—	53	1	no	—
1660	C₄⋊C₄	—	53	1	no	—
1661	C₄⋊C₄	—	53	1	no	—
1662	C₄⋊C₄	—	53	1	no	—
1663	C₄⋊C₄	—	53	1	no	—
1664	C₄⋊C₄	—	53	1	no	—
1665	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1666	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1667	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1668	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1669	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1670	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1671	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1672	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1673	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1674	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1675	C₂²⋊C₄	—	53	1	no	—
1676	C₂²⋊C₄	—	53	1	no	—
1677	C₂²⋊C₄	—	53	1	no	—
1678	C₂²⋊C₄	—	53	1	no	—
1679	C₂²⋊C₄	—	53	1	no	—
1680	C₂²⋊C₄	—	53	1	no	—
1681	C₂²⋊C₄	—	53	1	no	—
1682	C₂²⋊C₄	—	53	1	no	—
1683	C₂²⋊C₄	—	53	1	no	—
1684	C₂²⋊C₄	—	53	1	no	—
1685	C₂²⋊C₄	—	53	1	no	—
1686	C₂²⋊C₄	—	53	1	no	—
1687	C₂²⋊C₄	—	53	1	no	—
1688	C₂²⋊C₄	—	53	1	no	—
1689	C₂²⋊C₄	—	53	1	no	—
1690	C₂²⋊C₄	—	53	1	no	—
1691	C₂²⋊C₄	—	53	1	no	—
1692	C₂²⋊C₄	—	53	1	no	—
1693	C₂²⋊C₄	—	53	1	no	—
1694	C₂²⋊C₄	—	53	1	no	—
1695	C₂²⋊C₄	—	53	1	no	—
1696	C₂²⋊C₄	—	53	1	no	—
1697	C₂²⋊C₄	—	53	1	no	—
1698	C₂²⋊C₄	—	53	1	no	—
1699	C₂²⋊C₄	—	53	1	no	—
1700	C₂²⋊C₄	—	53	1	no	—
1701	C₂²⋊C₄	—	53	1	no	—
1702	C₂²⋊C₄	—	53	1	no	—
1703	C₂²⋊C₄	—	53	1	no	—
1704	C₂²⋊C₄	—	53	1	no	—
1705	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1713	C₄²	—	53	1	no	—
1714	C₄²	—	53	1	no	—
1715	C₄²	—	53	1	no	—
1716	C₄²	—	53	1	no	—
1717	C₄²	—	53	1	no	—
1718	C₄²	—	53	1	no	—
1719	C₄²	—	53	1	no	—
1720	C₄²	—	53	1	no	—
1721	C₄²	—	53	1	no	—
1722	C₄²	C₂²×#6157	1	1	yes	characteristic
1723	C₂³	—	53	1	no	—
1724	C₂³	—	53	1	no	—
1725	C₂³	—	53	1	no	—
1726	C₂³	—	53	1	no	—
1727	C₂³	—	53	1	no	—
1728	C₂³	—	53	1	no	—
1729	C₂³	—	53	1	no	—
1730	C₂³	—	106	2	no	—
1731	C₂³	—	106	2	no	—
1732	C₂³	—	106	2	no	—
1733	C₂³	—	106	2	no	—
1734	C₂³	—	106	2	no	—
1735	C₂³	—	212	1	no	—
1736	C₂³	—	212	1	no	—
1737	C₂³	—	212	1	no	—
1738	C₂³	—	212	1	no	—
1739	C₂³	—	212	1	no	—
1740	C₂³	—	212	1	no	—
1741	C₂³	—	212	1	no	—
1742	C₂³	—	212	1	no	—
1743	C₂³	—	212	1	no	—
1744	C₂³	—	212	1	no	—
1745	C₂³	—	212	1	no	—
1746	C₂³	—	212	1	no	—
1747	C₂³	—	212	1	no	—
1748	C₂³	C₂³×#6157	1	1	yes	characteristic
1749	C₂³	C₂³×#6157	1	1	yes	characteristic
1750	C₂³	C₂³×#6157	1	1	yes	characteristic
1751	C₂³	C₂³×#6157	1	1	yes	characteristic
1752	Q₈	—	4	1	no	—
1753	Q₈	—	4	1	no	—
1754	Q₈	—	106	2	no	—
1755	Q₈	—	106	2	no	—
1756	Q₈	—	106	2	no	—
1757	Q₈	—	212	1	no	—
1758	Q₈	—	212	1	no	—
1759	D₄	—	2	2	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	2	2	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	1	no	—
1765	D₄	—	106	2	no	—
1766	D₄	—	106	2	no	—
1767	D₄	—	106	2	no	—
1768	D₄	—	106	2	no	—
1769	D₄	—	106	2	no	—
1770	D₄	—	106	2	no	—
1771	D₄	—	106	2	no	—
1772	D₄	—	106	2	no	—
1773	D₄	—	106	2	no	—
1774	D₄	—	106	2	no	—
1775	D₄	—	212	1	no	—
1776	D₄	—	212	1	no	—
1777	D₄	—	212	1	no	—
1778	D₄	—	212	1	no	—
1779	D₄	—	212	1	no	—
1780	D₄	—	212	1	no	—
1781	D₄	—	212	1	no	—
1782	D₄	—	212	1	no	—
1783	D₄	—	212	1	no	—
1784	D₄	—	212	1	no	—
1785	D₄	—	212	1	no	—
1786	D₄	—	212	1	no	—
1787	D₄	—	212	1	no	—
1788	D₄	—	212	1	no	—
1789	D₄	—	212	1	no	—
1790	D₄	—	212	1	no	—
1791	D₄	—	212	1	no	—
1792	D₄	—	212	1	no	—
1793	D₄	—	212	1	no	—
1794	D₄	—	212	1	no	—
1795	D₄	—	212	1	no	—
1796	C₂×C₄	—	2	2	no	—
1797	C₂×C₄	—	2	2	no	—
1798	C₂×C₄	—	4	1	no	—
1799	C₂×C₄	—	4	1	no	—
1800	C₂×C₄	—	4	1	no	—
1801	C₂×C₄	—	4	1	no	—
1802	C₂×C₄	—	4	1	no	—
1803	C₂×C₄	—	4	1	no	—
1804	C₂×C₄	—	53	2	no	—
1805	C₂×C₄	—	53	2	no	—
1806	C₂×C₄	—	53	1	no	—
1807	C₂×C₄	—	53	1	no	—
1808	C₂×C₄	—	53	1	no	—
1809	C₂×C₄	—	53	1	no	—
1810	C₂×C₄	—	53	1	no	—
1811	C₂×C₄	—	53	1	no	—
1812	C₂×C₄	—	53	1	no	—
1813	C₂×C₄	—	53	1	no	—
1814	C₂×C₄	—	53	1	no	—
1815	C₂×C₄	—	106	1	no	—
1816	C₂×C₄	—	106	1	no	—
1817	C₂×C₄	—	106	1	no	—
1818	C₂×C₄	—	106	1	no	—
1819	C₂×C₄	—	106	1	no	—
1820	C₂×C₄	—	106	1	no	—
1821	C₂×C₄	—	106	1	no	—
1822	C₂×C₄	—	106	1	no	—
1823	C₂×C₄	—	106	1	no	—
1824	C₂×C₄	—	106	1	no	—
1825	C₂×C₄	—	106	1	no	—
1826	C₂×C₄	—	106	1	no	—
1827	C₂×C₄	—	106	2	no	—
1828	C₂×C₄	—	106	2	no	—
1829	C₂×C₄	—	106	2	no	—
1830	C₂×C₄	—	106	2	no	—
1831	C₂×C₄	—	106	1	no	—
1832	C₂×C₄	—	106	1	no	—
1833	C₂×C₄	—	106	1	no	—
1834	C₂×C₄	—	106	1	no	—
1835	C₂×C₄	—	106	1	no	—
1836	C₂×C₄	—	106	1	no	—
1837	C₂×C₄	—	106	1	no	—
1838	C₂×C₄	—	106	1	no	—
1839	C₂×C₄	—	212	1	no	—
1840	C₂×C₄	—	212	1	no	—
1841	C₂×C₄	—	212	1	no	—
1842	C₂×C₄	—	212	1	no	—
1843	C₂×C₄	—	212	1	no	—
1844	C₂×C₄	—	212	1	no	—
1845	C₂×C₄	—	212	1	no	—
1846	C₂×C₄	—	212	1	no	—
1847	C₂×C₄	—	212	1	no	—
1848	C₂×C₄	—	212	1	no	—
1849	C₂×C₄	—	212	1	no	—
1850	C₂×C₄	—	212	1	no	—
1851	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1852	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1853	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1854	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1855	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1856	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1857	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1858	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1859	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1860	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1861	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1862	C₈	—	106	1	no	—
1863	C₈	—	106	1	no	—
1864	C₈	—	106	1	no	—
1865	C₈	—	106	1	no	—
1866	C₈	—	106	1	no	—
1867	C₈	—	106	1	no	—
1868	C₈	—	106	1	no	—
1869	C₈	—	106	1	no	—
1870	C₈	—	106	1	no	—
1871	C₈	—	106	1	no	—
1872	C₈	—	106	1	no	—
1873	C₈	—	106	1	no	—
1874	C₈	—	106	1	no	—
1875	C₈	—	106	1	no	—
1876	C₈	—	106	1	no	—
1877	C₈	—	106	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	2	1	no	—
1888	C₂²	—	2	1	no	—
1889	C₂²	—	53	2	no	—
1890	C₂²	—	106	1	no	—
1891	C₂²	—	106	1	no	—
1892	C₂²	—	106	1	no	—
1893	C₂²	—	106	1	no	—
1894	C₂²	—	106	1	no	—
1895	C₂²	—	106	1	no	—
1896	C₂²	—	106	1	no	—
1897	C₂²	—	106	1	no	—
1898	C₂²	—	106	1	no	—
1899	C₂²	—	106	1	no	—
1900	C₂²	—	106	1	no	—
1901	C₂²	—	106	1	no	—
1902	C₂²	—	106	1	no	—
1903	C₂²	—	106	1	no	—
1904	C₂²	—	106	1	no	—
1905	C₂²	—	106	1	no	—
1906	C₂²	—	106	1	no	—
1907	C₂²	—	106	1	no	—
1908	C₂²	—	106	1	no	—
1909	C₂²	—	106	1	no	—
1910	C₂²	—	424	2	no	—
1911	C₂²	—	424	2	no	—
1912	C₂²	—	424	2	no	—
1913	C₂²	—	424	2	no	—
1914	C₂²	—	424	2	no	—
1915	C₂²	—	212	4	no	—
1916	C₂²	#16811690	1	2	yes	—
1917	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	2	1	no	—
1927	C₄	—	2	1	no	—
1928	C₄	—	2	1	no	—
1929	C₄	—	53	1	no	—
1930	C₄	—	53	1	no	—
1931	C₄	—	53	2	no	—
1932	C₄	—	106	1	no	—
1933	C₄	—	106	1	no	—
1934	C₄	—	106	1	no	—
1935	C₄	—	106	1	no	—
1936	C₄	—	106	1	no	—
1937	C₄	—	106	1	no	—
1938	C₄	—	106	1	no	—
1939	C₂	—	2	2	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	1	no	—
1942	C₂	—	4	1	no	—
1943	C₂	—	106	2	no	—
1944	C₂	—	212	1	no	—
1945	C₂	—	212	1	no	—
1946	C₂	—	212	1	no	—
1947	C₂	—	212	1	no	—
1948	C₂	—	212	1	no	—
1949	C₂	—	212	1	no	—
1950	C₂	C₂×#16811690	1	1	yes	characteristic
1951	C₂	D₅₃⋊#568	1	1	yes	characteristic
1952	C₂	#20291711	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#547	C₄
prime radical	#20288202	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#547	#6157
hypocenter	C₅₃	#60240
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #547

Complements

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

N	H ≅ G/N	type
1. #20291607	C₂	semidirect
2. #20291603	C₂	semidirect
3. #20291602	C₂	semidirect
4. #20291599	C₂	semidirect
5. #20291594	C₂	semidirect
6. #20291593	C₂	semidirect
7. #20291590	C₂	semidirect
8. #20291589	C₂	semidirect
9. #20291586	C₂	semidirect
10. #20291585	C₂	semidirect
11. #20291583	C₂	semidirect
12. #20291583	C₂	semidirect
13. #20291576	C₂	semidirect
14. #20291572	C₂	semidirect
15. #20291570	C₂	semidirect
16. #20291567	C₂	semidirect
17. #20291459	C₂	semidirect
18. #20291455	C₂	semidirect
19. #20291449	C₂	semidirect
20. #20291449	C₂	semidirect
21. #20291443	C₂	semidirect
22. #20291436	C₂	semidirect
23. #20291432	C₂	semidirect
24. C₂×#16811653	C₂	semidirect
25. #20291413	C₂	semidirect
26. #20291401	C₂	semidirect
27. #20291305	C₂	semidirect
28. #20291305	C₂	semidirect
29. #20291300	C₂	semidirect
30. D₅₃⋊#408	C₂	semidirect
32. C₂×#13133304	C₂²	semidirect
33. C₂×#13133304	C₂²	semidirect
34. C₂×#13133304	C₂²	semidirect
35. C₂×#13133304	C₂²	semidirect
36. C₂²×#11719936	C₂²	semidirect
37. C₂×D₅₃⋊M₁₆	C₂²	semidirect
38. C₂×D₅₃⋊M₁₆	C₂²	semidirect
39. C₂²×D₅₃⋊C₈	C₂²	semidirect
40. #16811657	C₂²	semidirect
41. #16811657	C₂²	semidirect
42. #16811657	C₂²	semidirect
43. #16811657	C₂²	semidirect
44. #16811657	C₂²	semidirect
45. #16811657	C₂²	semidirect
46. #16811656	C₂²	semidirect
47. #16811656	C₂²	semidirect
48. #16811656	C₂²	semidirect
49. #16811656	C₂²	semidirect
50. #16811656	C₂²	semidirect
51. #16811656	C₂²	semidirect
52. #16811655	C₂²	semidirect
53. #16811655	C₂²	semidirect
54. #16811655	C₂²	semidirect
55. #16811655	C₂²	semidirect
56. #16811655	C₂²	semidirect
57. #16811655	C₂²	semidirect
58. #16811654	C₂²	semidirect
59. #16811654	C₂²	semidirect
60. #16811654	C₂²	semidirect
61. #16811654	C₂²	semidirect
66. #16811653	C₂²	semidirect
67. #16811653	C₂²	semidirect
68. #16811653	C₂²	semidirect
69. #16811653	C₂²	semidirect
70. #16811653	C₂²	semidirect
71. #16811653	C₂²	semidirect
72. #16811653	C₂²	semidirect
73. #16811653	C₂²	semidirect
74. #16811653	C₂²	semidirect
75. #16811653	C₂²	semidirect
76. #16811653	C₂²	semidirect
77. #16811653	C₂²	semidirect
78. #16811653	C₂²	semidirect
79. #16811653	C₂²	semidirect
80. #16811653	C₂²	semidirect
81. #16811653	C₂²	semidirect
82. #16811653	C₂²	semidirect
83. #16811653	C₂²	semidirect
84. #16811653	C₂²	semidirect
85. #16811653	C₂²	semidirect
86. #16811652	C₂²	semidirect
87. #16811652	C₂²	semidirect
88. #16811652	C₂²	semidirect
89. #16811652	C₂²	semidirect
90. #16811652	C₂²	semidirect
91. #16811652	C₂²	semidirect
92. #16811651	C₂²	semidirect
93. #16811651	C₂²	semidirect
94. #16811651	C₂²	semidirect
95. #16811651	C₂²	semidirect
96. #16811651	C₂²	semidirect
97. #16811651	C₂²	semidirect
98. #16811650	C₂²	semidirect
99. #16811650	C₂²	semidirect
100. #16811650	C₂²	semidirect
101. #16811650	C₂²	semidirect
102. #16811650	C₂²	semidirect
103. #16811650	C₂²	semidirect
104. #16811648	C₂²	semidirect
105. #16811648	C₂²	semidirect
106. #16811648	C₂²	semidirect
107. #16811648	C₂²	semidirect
108. #16811647	C₂²	semidirect
109. #16811647	C₂²	semidirect
110. #16811647	C₂²	semidirect
111. #16811647	C₂²	semidirect
112. #16811646	C₂²	semidirect
113. #16811646	C₂²	semidirect
114. #16811645	C₂²	semidirect
115. #16811644	C₂²	semidirect
116. #16811643	C₂²	semidirect
117. #16811643	C₂²	semidirect
118. #16811641	C₂²	semidirect
119. #16811640	C₂²	semidirect
120. #16811629	C₂²	semidirect
121. #16811629	C₂²	semidirect
122. #16811626	C₂²	semidirect
123. C₂×#13133284	C₂²	semidirect
124. #16811598	C₂²	semidirect
125. #16811598	C₂²	semidirect
126. #16811598	C₂²	semidirect
127. #16811598	C₂²	semidirect
128. #16811598	C₂²	semidirect
129. #16811598	C₂²	semidirect
130. #16811598	C₂²	semidirect
131. #16811598	C₂²	semidirect
132. #16811597	C₂²	semidirect
133. #16811597	C₂²	semidirect
134. #16811597	C₂²	semidirect
135. #16811597	C₂²	semidirect
140. #16811596	C₂²	semidirect
141. #16811596	C₂²	semidirect
142. #16811596	C₂²	semidirect
143. #16811596	C₂²	semidirect
144. #16811596	C₂²	semidirect
145. #16811596	C₂²	semidirect
146. #16811596	C₂²	semidirect
147. #16811596	C₂²	semidirect
148. #16811595	C₂²	semidirect
149. #16811595	C₂²	semidirect
150. #16811595	C₂²	semidirect
151. #16811595	C₂²	semidirect
152. #16811594	C₂²	semidirect
153. #16811594	C₂²	semidirect
154. #16811594	C₂²	semidirect
155. #16811594	C₂²	semidirect
156. #16811594	C₂²	semidirect
157. #16811594	C₂²	semidirect
158. C₂×#13133274	C₂²	semidirect
159. C₂×#13133274	C₂²	semidirect
160. C₂×#13133274	C₂²	semidirect
161. C₂×#13133274	C₂²	semidirect
162. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
163. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
164. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
165. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
166. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
167. D₅₃⋊(C₂²⋊C₈)	C₂²	semidirect
168. #16811587	C₂²	semidirect
169. #16811587	C₂²	semidirect
170. C₄×#11719940	C₂²	semidirect
171. C₂×#13133272	C₂²	semidirect
1179. C₅₃	#60240	semidirect

Maximal subgroups

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

subgroup	index
#20291607	2
#20291603	2
#20291602	2
#20291599	2
#20291594	2
#20291593	2
#20291590	2
#20291589	2
#20291586	2
#20291585	2
#20291583	2
#20291576	2
#20291572	2
#20291570	2
#20291567	2
#20291459	2
#20291455	2
#20291449	2
#20291443	2
#20291436	2
#20291432	2
C₂×#16811653	2
#20291413	2
#20291401	2
#20291305	2
#20291300	2
D₅₃⋊#408	2
#20288202	2
#60240	53