Subgroups — #28330627

Order 13568.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291664	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291659	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291654	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291652	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291644	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291639	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291606	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291602	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291599	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291597	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291594	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291593	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291585	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291583	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291572	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291558	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291550	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291536	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291535	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291533	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291523	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291461	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291460	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291459	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291454	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291449	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291448	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291439	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291436	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291435	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288135	C₂	1	1	yes	maximal, characteristic
32	C₂×#13133305	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13133305	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
37	C₂×D₅₃⋊M₁₆	C₂²	1	1	yes	characteristic
38	#16811675	C₂²	1	1	yes	characteristic, complemented
39	#16811675	C₂²	1	1	yes	characteristic, complemented
40	#16811674	C₂²	1	1	yes	characteristic, complemented
41	#16811674	C₂²	1	1	yes	characteristic, complemented
42	#16811674	C₂²	1	1	yes	characteristic, complemented
43	#16811674	C₂²	1	1	yes	characteristic, complemented
44	#16811672	C₂²	1	1	yes	characteristic, complemented
45	#16811672	C₂²	1	1	yes	characteristic, complemented
46	#16811657	C₂²	1	1	yes	characteristic
47	#16811657	C₂²	1	1	yes	characteristic
48	#16811657	C₂²	1	1	yes	characteristic
49	#16811657	C₂²	1	1	yes	characteristic
50	#16811657	C₂²	1	1	yes	characteristic
51	#16811657	C₂²	1	1	yes	characteristic
52	#16811657	C₂²	1	1	yes	characteristic, complemented
53	#16811657	C₂²	1	1	yes	characteristic, complemented
54	#16811656	C₂²	1	1	yes	characteristic
55	#16811656	C₂²	1	1	yes	characteristic
56	#16811656	C₂²	1	1	yes	characteristic
57	#16811656	C₂²	1	1	yes	characteristic
58	#16811656	C₂²	1	1	yes	characteristic
59	#16811656	C₂²	1	1	yes	characteristic
60	#16811656	C₂²	1	1	yes	characteristic, complemented
61	#16811656	C₂²	1	1	yes	characteristic, complemented
62	#16811656	C₂²	1	1	yes	characteristic, complemented
63	#16811656	C₂²	1	1	yes	characteristic, complemented
64	#16811656	C₂²	1	1	yes	characteristic, complemented
65	#16811656	C₂²	1	1	yes	characteristic, complemented
66	#16811656	C₂²	1	1	yes	characteristic, complemented
67	#16811656	C₂²	1	1	yes	characteristic, complemented
68	#16811655	C₂²	1	1	yes	characteristic, complemented
69	#16811655	C₂²	1	1	yes	characteristic, complemented
70	#16811655	C₂²	1	1	yes	characteristic, complemented
71	#16811655	C₂²	1	1	yes	characteristic, complemented
72	#16811655	C₂²	1	1	yes	characteristic, complemented
73	#16811655	C₂²	1	1	yes	characteristic, complemented
74	#16811654	C₂²	1	1	yes	characteristic
75	#16811654	C₂²	1	1	yes	characteristic
76	#16811654	C₂²	1	1	yes	characteristic
77	#16811654	C₂²	1	1	yes	characteristic
78	#16811653	C₂²	1	1	yes	characteristic
79	#16811653	C₂²	1	1	yes	characteristic
80	#16811653	C₂²	1	1	yes	characteristic
81	#16811653	C₂²	1	1	yes	characteristic
82	#16811653	C₂²	1	1	yes	characteristic
83	#16811653	C₂²	1	1	yes	characteristic
84	#16811653	C₂²	1	1	yes	characteristic
85	#16811653	C₂²	1	1	yes	characteristic
86	#16811653	C₂²	1	1	yes	characteristic
87	#16811653	C₂²	1	1	yes	characteristic
88	#16811653	C₂²	1	1	yes	characteristic, complemented
89	#16811653	C₂²	1	1	yes	characteristic, complemented
90	#16811653	C₂²	1	1	yes	characteristic, complemented
91	#16811653	C₂²	1	1	yes	characteristic, complemented
92	#16811653	C₂²	1	1	yes	characteristic, complemented
93	#16811653	C₂²	1	1	yes	characteristic, complemented
94	#16811653	C₂²	1	1	yes	characteristic, complemented
95	#16811653	C₂²	1	1	yes	characteristic, complemented
96	#16811652	C₂²	1	1	yes	characteristic
97	#16811652	C₂²	1	1	yes	characteristic
98	#16811652	C₂²	1	1	yes	characteristic, complemented
99	#16811652	C₂²	1	1	yes	characteristic, complemented
100	#16811652	C₂²	1	1	yes	characteristic, complemented
101	#16811652	C₂²	1	1	yes	characteristic, complemented
102	#16811652	C₂²	1	1	yes	characteristic, complemented
103	#16811652	C₂²	1	1	yes	characteristic, complemented
104	#16811651	C₂²	1	1	yes	characteristic, complemented
105	#16811651	C₂²	1	1	yes	characteristic, complemented
106	#16811650	C₂²	1	1	yes	characteristic
107	#16811650	C₂²	1	1	yes	characteristic
108	#16811650	C₂²	1	1	yes	characteristic
109	#16811650	C₂²	1	1	yes	characteristic
110	#16811650	C₂²	1	1	yes	characteristic, complemented
111	#16811650	C₂²	1	1	yes	characteristic, complemented
112	#16811650	C₂²	1	1	yes	characteristic, complemented
113	#16811650	C₂²	1	1	yes	characteristic, complemented
114	#16811650	C₂²	1	1	yes	characteristic, complemented
115	#16811650	C₂²	1	1	yes	characteristic, complemented
116	#16811650	C₂²	1	1	yes	characteristic, complemented
117	#16811650	C₂²	1	1	yes	characteristic, complemented
118	#16811648	C₂²	1	1	yes	characteristic, complemented
119	#16811648	C₂²	1	1	yes	characteristic, complemented
120	#16811648	C₂²	1	1	yes	characteristic, complemented
121	#16811648	C₂²	1	1	yes	characteristic, complemented
122	#16811647	C₂²	1	1	yes	characteristic, complemented
123	#16811647	C₂²	1	1	yes	characteristic, complemented
124	#16811647	C₂²	1	1	yes	characteristic, complemented
125	#16811647	C₂²	1	1	yes	characteristic, complemented
126	#16811646	C₂²	1	1	yes	characteristic
127	#16811646	C₂²	1	1	yes	characteristic, complemented
128	#16811646	C₂²	1	1	yes	characteristic, complemented
129	#16811646	C₂²	1	1	yes	characteristic, complemented
130	#16811644	C₂²	1	1	yes	characteristic, complemented
131	#16811643	C₂²	1	1	yes	characteristic, complemented
132	#16811642	C₂²	1	1	yes	characteristic, complemented
133	#16811641	C₂²	1	1	yes	characteristic
134	#16811641	C₂²	1	1	yes	characteristic, complemented
135	#16811641	C₂²	1	1	yes	characteristic, complemented
136	#16811630	C₂²	1	1	yes	characteristic, complemented
137	#16811630	C₂²	1	1	yes	characteristic, complemented
138	#16811629	C₂²	1	1	yes	characteristic, complemented
139	#16811629	C₂²	1	1	yes	characteristic, complemented
140	#16811628	C₂²	1	1	yes	characteristic
141	#16811628	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133284	C₂²	1	1	yes	characteristic, complemented
143	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
144	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
145	#16811598	C₂²	1	1	yes	characteristic, complemented
146	#16811598	C₂²	1	1	yes	characteristic, complemented
147	#16811598	C₂²	1	1	yes	characteristic, complemented
148	#16811598	C₂²	1	1	yes	characteristic, complemented
149	#16811598	C₂²	1	1	yes	characteristic, complemented
150	#16811598	C₂²	1	1	yes	characteristic, complemented
151	#16811597	C₂²	1	1	yes	characteristic, complemented
152	#16811597	C₂²	1	1	yes	characteristic, complemented
153	#16811596	C₂²	1	1	yes	characteristic, complemented
154	#16811596	C₂²	1	1	yes	characteristic, complemented
155	#16811596	C₂²	1	1	yes	characteristic, complemented
156	#16811596	C₂²	1	1	yes	characteristic, complemented
157	#16811595	C₂²	1	1	yes	characteristic
158	#16811594	C₂²	1	1	yes	characteristic
159	#16811594	C₂²	1	1	yes	characteristic
160	#16811594	C₂²	1	1	yes	characteristic
161	C₂×#13133274	C₂²	1	1	yes	characteristic
162	D₅₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic
163	#16811588	C₂²	1	1	yes	characteristic, complemented
164	#16811588	C₂²	1	1	yes	characteristic, complemented
165	#16811587	C₂²	1	1	yes	characteristic, complemented
166	#16811587	C₂²	1	1	yes	characteristic, complemented
167	C₄×#11719936	C₂²	1	1	yes	characteristic
168	C₄×#11719936	C₂²	1	1	yes	characteristic, complemented
169	C₄×#11719936	C₂²	1	1	yes	characteristic, complemented
170	C₄×#11719940	C₂²	1	1	yes	characteristic, complemented
171	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
172	#16811250	C₄	1	1	yes	characteristic
173	#16811245	C₄	1	1	yes	characteristic
174	#16811243	C₄	1	1	yes	characteristic
175	#16811243	C₄	1	1	yes	characteristic
176	#16811228	C₄	1	1	yes	characteristic
177	#16811225	C₄	1	1	yes	characteristic
178	#16811225	C₄	1	1	yes	characteristic
179	#16811224	C₄	1	1	yes	characteristic
180	#16811212	C₄	1	1	yes	characteristic
181	#16811212	C₄	1	1	yes	characteristic
182	#16811207	C₄	1	1	yes	characteristic
183	#16811207	C₄	1	1	yes	characteristic
184	#16811203	C₄	1	1	yes	characteristic
185	#16811191	C₄	1	1	yes	characteristic
186	#16811189	C₄	1	1	yes	characteristic
187	#16811174	C₂²	1	1	yes	characteristic
188	#16811172	C₂²	1	1	yes	characteristic
189	#16811172	C₂²	1	1	yes	characteristic
190	#16811168	C₂²	1	1	yes	characteristic
191	#16811159	C₂²	1	1	yes	characteristic
192	#16811156	C₂²	1	1	yes	characteristic
193	#16811156	C₂²	1	1	yes	characteristic
194	#16811152	C₂²	1	1	yes	characteristic
195	#16811136	C₂²	1	1	yes	characteristic
196	#16811136	C₂²	1	1	yes	characteristic
197	#16811131	C₂²	1	1	yes	characteristic
198	#16811131	C₂²	1	1	yes	characteristic
199	C₄×#11719949	C₂²	1	1	yes	characteristic
200	#16811091	C₂²	1	1	yes	characteristic
201	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#542	C₄	1	1	yes	characteristic
203	#13133305	—	4	2	no	—
204	#13133305	—	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	C₂×#11719936	C₂³	1	1	yes	characteristic
221	C₂×#11719936	C₂³	1	1	yes	characteristic
222	D₅₃⋊M₁₆	—	4	2	no	—
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×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
230	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
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	C₂²×#88324	C₂³	1	1	yes	characteristic
240	C₂²×#88324	C₂³	1	1	yes	characteristic
241	C₂²×#88324	C₂³	1	1	yes	characteristic
242	C₂²×#88324	C₂³	1	1	yes	characteristic
243	C₂²×#88324	C₂³	1	1	yes	characteristic
244	C₂²×#88324	C₂³	1	1	yes	characteristic
245	#13133284	C₂³	1	1	yes	characteristic
246	#13133284	C₂³	1	1	yes	characteristic
247	#13133284	C₂³	1	1	yes	characteristic
248	#13133284	C₂³	1	1	yes	characteristic
249	#13133284	C₂³	1	1	yes	characteristic
250	#13133284	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	C₄⋊#88324	C₂³	1	1	yes	characteristic
268	C₄⋊#88324	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	C₂²⋊#88324	C₂³	1	1	yes	characteristic
294	C₂²⋊#88324	C₂³	1	1	yes	characteristic
295	C₂²⋊#88324	C₂³	1	1	yes	characteristic
296	C₂²⋊#88324	C₂³	1	1	yes	characteristic
297	C₂²⋊#88324	C₂³	1	1	yes	characteristic
298	C₂²⋊#88324	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	#13133272	C₂³	1	1	yes	characteristic
306	#13133272	C₂³	1	1	yes	characteristic
307	#13133272	C₂³	1	1	yes	characteristic
308	#13133272	C₂³	1	1	yes	characteristic
309	#13133272	C₂³	1	1	yes	characteristic
310	#13133272	C₂³	1	1	yes	characteristic
311	#13133272	C₂³	1	1	yes	characteristic
312	#13133272	C₂³	1	1	yes	characteristic
313	#13133272	C₂³	1	1	yes	characteristic
314	#13133272	C₂³	1	1	yes	characteristic
315	#13133272	C₂³	1	1	yes	characteristic
316	#13133272	C₂³	1	1	yes	characteristic
317	C₄×#88324	C₂³	1	1	yes	characteristic
318	C₄×#88324	C₂³	1	1	yes	characteristic
319	C₄×#88324	C₂³	1	1	yes	characteristic
320	C₄×#88324	C₂³	1	1	yes	characteristic
321	C₄×#88324	C₂³	1	1	yes	characteristic
322	C₄×#88324	C₂³	1	1	yes	characteristic
323	C₄×#88324	C₂³	1	1	yes	characteristic
324	C₄×#88324	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	C₂×#11719949	C₂×C₄	1	1	yes	characteristic
330	C₂×#11719949	C₂³	1	1	yes	characteristic
331	C₂×#11719949	C₂³	1	1	yes	characteristic
332	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
333	C₂×#11719947	C₂³	1	1	yes	characteristic
334	C₂×#11719947	C₂³	1	1	yes	characteristic
335	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	#13133216	C₂×C₄	1	1	yes	characteristic
339	#13133215	C₂×C₄	1	1	yes	characteristic
340	#13133215	C₂×C₄	1	1	yes	characteristic
341	#13133214	C₂×C₄	1	1	yes	characteristic
342	#13133213	C₂×C₄	1	1	yes	characteristic
343	#13133213	C₂×C₄	1	1	yes	characteristic
344	#13133213	C₂×C₄	1	1	yes	characteristic
345	#13133212	C₂×C₄	1	1	yes	characteristic
346	#13133212	C₂×C₄	1	1	yes	characteristic
347	#13133211	C₂×C₄	1	1	yes	characteristic
348	#13133211	C₂×C₄	1	1	yes	characteristic
349	#13133210	C₂×C₄	1	1	yes	characteristic
350	#13133210	C₂×C₄	1	1	yes	characteristic
351	#13133209	C₂×C₄	1	1	yes	characteristic
352	#13133208	C₂×C₄	1	1	yes	characteristic
353	#13133207	C₂×C₄	1	1	yes	characteristic
354	#13133207	C₂×C₄	1	1	yes	characteristic
355	#13133206	C₂×C₄	1	1	yes	characteristic
356	#13133206	C₂×C₄	1	1	yes	characteristic
357	#13133206	C₂×C₄	1	1	yes	characteristic
358	#13133205	C₂×C₄	1	1	yes	characteristic
359	#13133205	C₂×C₄	1	1	yes	characteristic
360	#13133203	C₂×C₄	1	1	yes	characteristic
361	#13133203	C₂×C₄	1	1	yes	characteristic
362	#13133203	C₂×C₄	1	1	yes	characteristic
363	#13133203	C₂×C₄	1	1	yes	characteristic
364	#13133202	C₂×C₄	1	1	yes	characteristic
365	#13133202	C₂×C₄	1	1	yes	characteristic
366	#13133202	C₂×C₄	1	1	yes	characteristic
367	#13133202	C₂×C₄	1	1	yes	characteristic
368	#13133202	C₂×C₄	1	1	yes	characteristic
369	#13133202	C₂×C₄	1	1	yes	characteristic
370	#13133201	C₂×C₄	1	1	yes	characteristic
371	#13133201	C₂×C₄	1	1	yes	characteristic
372	#13133200	C₂×C₄	1	1	yes	characteristic
373	#13133200	C₂×C₄	1	1	yes	characteristic
374	#13133199	C₂×C₄	1	1	yes	characteristic
375	#13133199	C₂×C₄	1	1	yes	characteristic
376	#13133199	C₂×C₄	1	1	yes	characteristic
377	#13133199	C₂×C₄	1	1	yes	characteristic
378	#13133195	C₂×C₄	1	1	yes	characteristic
379	#13133195	C₂×C₄	1	1	yes	characteristic
380	#13133195	C₂×C₄	1	1	yes	characteristic
381	#13133195	C₂×C₄	1	1	yes	characteristic
382	#13133195	C₂×C₄	1	1	yes	characteristic
383	#13133195	C₂×C₄	1	1	yes	characteristic
384	#13133193	C₂×C₄	1	1	yes	characteristic
385	#13133193	C₂×C₄	1	1	yes	characteristic
386	#13133193	C₂×C₄	1	1	yes	characteristic
387	#13133192	C₂×C₄	1	1	yes	characteristic
388	#13133192	C₂×C₄	1	1	yes	characteristic
389	#13133192	C₂×C₄	1	1	yes	characteristic
390	#13133192	C₂×C₄	1	1	yes	characteristic
391	#13133192	C₂×C₄	1	1	yes	characteristic
392	#13133192	C₂×C₄	1	1	yes	characteristic
393	#13133191	C₂×C₄	1	1	yes	characteristic
394	#13133191	C₂×C₄	1	1	yes	characteristic
395	#13133191	C₂×C₄	1	1	yes	characteristic
396	#13133191	C₂×C₄	1	1	yes	characteristic
397	#13133190	C₂×C₄	1	1	yes	characteristic
398	#13133190	C₂×C₄	1	1	yes	characteristic
399	#13133190	C₂×C₄	1	1	yes	characteristic
400	#13133190	C₂×C₄	1	1	yes	characteristic
401	#13133190	C₂×C₄	1	1	yes	characteristic
402	#13133190	C₂×C₄	1	1	yes	characteristic
403	#13133190	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	#13133189	C₂×C₄	1	1	yes	characteristic
412	#13133189	C₂×C₄	1	1	yes	characteristic
413	#13133188	C₂×C₄	1	1	yes	characteristic
414	#13133187	C₂×C₄	1	1	yes	characteristic
415	#13133187	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	#13133185	C₂×C₄	1	1	yes	characteristic
421	#13133185	C₂×C₄	1	1	yes	characteristic
422	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
423	#13133182	C₂×C₄	1	1	yes	characteristic
424	#13133182	C₂³	1	1	yes	characteristic
425	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
426	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
427	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
428	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
429	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
430	#13133179	C₂×C₄	1	1	yes	characteristic
431	#13133179	C₂³	1	1	yes	characteristic
432	#13133179	C₂³	1	1	yes	characteristic
433	#13133179	C₂³	1	1	yes	characteristic
434	#13133179	C₂³	1	1	yes	characteristic
435	#13133179	C₂³	1	1	yes	characteristic
436	#13133179	C₂³	1	1	yes	characteristic
437	#13133179	C₂³	1	1	yes	characteristic
438	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
439	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
440	#13133177	C₂×C₄	1	1	yes	characteristic
441	#13133177	C₂×C₄	1	1	yes	characteristic
442	#13133177	C₂³	1	1	yes	characteristic
443	#13133177	C₂³	1	1	yes	characteristic
444	#13133177	C₂³	1	1	yes	characteristic
445	#13133177	C₂³	1	1	yes	characteristic
446	#13133177	C₂³	1	1	yes	characteristic
447	#13133177	C₂³	1	1	yes	characteristic
448	#13133177	C₂³	1	1	yes	characteristic
449	#13133177	C₂³	1	1	yes	characteristic
450	#13133177	C₂³	1	1	yes	characteristic
451	#13133177	C₂³	1	1	yes	characteristic
452	#13133175	C₂×C₄	1	1	yes	characteristic
453	#13133175	C₂×C₄	1	1	yes	characteristic
454	#13133175	C₂×C₄	1	1	yes	characteristic
455	#13133175	C₂³	1	1	yes	characteristic
456	#13133175	C₂³	1	1	yes	characteristic
457	#13133174	C₂×C₄	1	1	yes	characteristic
458	#13133174	C₂×C₄	1	1	yes	characteristic
459	#13133173	C₂³	1	1	yes	characteristic
460	#13133173	C₂³	1	1	yes	characteristic
461	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₄²×D₅₃	C₂³	1	1	yes	characteristic
466	C₄²×D₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	C₄⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
470	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
471	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
472	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
473	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
474	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
475	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
476	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
477	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
479	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
480	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
481	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
482	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
483	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
484	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
496	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
498	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
511	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
512	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
513	#11719949	—	4	2	no	—
514	#11719949	—	4	1	no	—
515	#11719949	—	4	1	no	—
516	#11719949	—	4	1	no	—
517	#11719949	—	4	1	no	—
518	#11719947	—	4	1	no	—
519	#11719947	—	4	1	no	—
520	#11719947	—	4	1	no	—
521	#11719947	—	4	1	no	—
522	D₄×D₅₃	—	4	2	no	—
523	#11719945	—	4	2	no	—
524	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
526	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
527	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
528	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
530	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
531	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
532	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
533	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
534	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
535	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₅₃	—	4	1	no	—
538	C₂×C₄×D₅₃	—	4	1	no	—
539	C₂×C₄×D₅₃	—	4	1	no	—
540	C₂×C₄×D₅₃	—	4	1	no	—
541	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
560	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
561	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
562	#11719940	—	2	2	no	—
563	#11719940	—	2	2	no	—
564	#11719940	—	4	1	no	—
565	#11719940	—	4	1	no	—
566	#11719940	—	4	1	no	—
567	#11719940	—	4	1	no	—
568	C₂×#88324	—	2	2	no	—
569	C₂×#88324	—	4	1	no	—
570	C₂×#88324	—	4	1	no	—
571	C₂×#88324	—	4	1	no	—
572	C₂×#88324	—	4	1	no	—
573	C₂×#88324	—	4	1	no	—
574	C₂×#88324	C₂⁴	1	1	yes	characteristic
575	C₂×#88324	C₂⁴	1	1	yes	characteristic
576	C₂×#88324	C₂⁴	1	1	yes	characteristic
577	C₂×#88324	C₂⁴	1	1	yes	characteristic
578	C₂×#88324	C₂⁴	1	1	yes	characteristic
579	C₂×#88324	C₂⁴	1	1	yes	characteristic
580	C₂×#88324	C₂⁴	1	1	yes	characteristic
581	C₂×#88324	C₂⁴	1	1	yes	characteristic
582	C₂×#88324	C₂⁴	1	1	yes	characteristic
583	C₂×#88324	C₂⁴	1	1	yes	characteristic
584	C₂×#88324	C₂⁴	1	1	yes	characteristic
585	C₂×#88324	C₂⁴	1	1	yes	characteristic
586	C₂×#88324	C₂⁴	1	1	yes	characteristic
587	C₂×#88324	C₂⁴	1	1	yes	characteristic
588	C₂×#88324	C₂⁴	1	1	yes	characteristic
589	C₂×#88324	C₂⁴	1	1	yes	characteristic
590	#11719936	—	2	2	no	—
591	#11719936	—	2	2	no	—
592	#11719936	—	2	2	no	—
593	#11719936	—	2	2	no	—
594	#11719936	—	4	1	no	—
595	#11719936	—	4	1	no	—
596	#11719936	—	4	1	no	—
597	#11719936	—	4	1	no	—
598	#11719936	—	4	1	no	—
599	#11719936	—	4	1	no	—
600	#11719936	—	4	1	no	—
601	#11719936	—	4	1	no	—
602	#11719936	—	4	1	no	—
603	#11719936	—	4	1	no	—
604	D₅₃⋊C₈	—	2	2	no	—
605	D₅₃⋊C₈	—	2	2	no	—
606	D₅₃⋊C₈	—	4	1	no	—
607	D₅₃⋊C₈	—	4	1	no	—
608	D₅₃⋊C₈	—	4	1	no	—
609	D₅₃⋊C₈	—	4	1	no	—
610	D₅₃⋊C₈	—	4	1	no	—
611	D₅₃⋊C₈	—	4	1	no	—
612	D₅₃⋊C₈	—	4	1	no	—
613	D₅₃⋊C₈	—	4	1	no	—
614	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
636	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
637	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
638	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
639	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
644	#11719921	C₂²×C₄	1	1	yes	characteristic
645	#11719921	C₂²×C₄	1	1	yes	characteristic
646	#11719921	C₂²×C₄	1	1	yes	characteristic
647	#11719921	C₂²×C₄	1	1	yes	characteristic
648	#11719921	C₂²×C₄	1	1	yes	characteristic
649	#11719921	C₂²×C₄	1	1	yes	characteristic
650	#11719921	C₂²×C₄	1	1	yes	characteristic
651	#11719921	C₂²×C₄	1	1	yes	characteristic
652	#11719921	C₂²×C₄	1	1	yes	characteristic
653	#11719921	C₂²×C₄	1	1	yes	characteristic
654	#11719921	C₂²×C₄	1	1	yes	characteristic
655	#11719921	C₂²×C₄	1	1	yes	characteristic
656	#11719921	C₂²×C₄	1	1	yes	characteristic
657	#11719921	C₂²×C₄	1	1	yes	characteristic
658	#11719921	C₂²×C₄	1	1	yes	characteristic
659	#11719921	C₂²×C₄	1	1	yes	characteristic
660	#11719921	C₂²×C₄	1	1	yes	characteristic
661	#11719921	C₂²×C₄	1	1	yes	characteristic
662	#11719921	C₂²×C₄	1	1	yes	characteristic
663	#11719921	C₂²×C₄	1	1	yes	characteristic
664	#11719921	C₂²×C₄	1	1	yes	characteristic
665	#11719921	C₂²×C₄	1	1	yes	characteristic
666	#11719921	C₂²×C₄	1	1	yes	characteristic
667	#11719921	C₂²×C₄	1	1	yes	characteristic
668	#11719921	C₂²×C₄	1	1	yes	characteristic
669	#11719921	C₂²×C₄	1	1	yes	characteristic
670	#11719921	C₂²×C₄	1	1	yes	characteristic
671	#11719921	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
678	#11719919	C₂²×C₄	1	1	yes	characteristic
679	#11719919	C₂²×C₄	1	1	yes	characteristic
680	#11719919	C₂²×C₄	1	1	yes	characteristic
681	#11719919	C₂²×C₄	1	1	yes	characteristic
682	#11719919	C₂²×C₄	1	1	yes	characteristic
683	#11719919	C₂²×C₄	1	1	yes	characteristic
684	#11719919	C₂²×C₄	1	1	yes	characteristic
685	#11719919	C₂²×C₄	1	1	yes	characteristic
686	#11719919	C₂²×C₄	1	1	yes	characteristic
687	#11719919	C₂²×C₄	1	1	yes	characteristic
688	#11719919	C₂²×C₄	1	1	yes	characteristic
689	#11719919	C₂²×C₄	1	1	yes	characteristic
690	#11719919	C₂²×C₄	1	1	yes	characteristic
691	#11719919	C₂²×C₄	1	1	yes	characteristic
692	#11719919	C₂²×C₄	1	1	yes	characteristic
693	#11719919	C₂²×C₄	1	1	yes	characteristic
694	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
703	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
704	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
706	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
707	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
708	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
709	C₂²×D₅₃	—	4	1	no	—
710	C₂²×D₅₃	—	4	1	no	—
711	C₂²×D₅₃	—	4	1	no	—
712	C₂²×D₅₃	—	4	1	no	—
713	C₂²×D₅₃	—	4	1	no	—
714	C₂²×D₅₃	—	4	1	no	—
715	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
716	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
717	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
718	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
719	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
720	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
721	Q₈×C₅₃	—	4	1	no	—
722	Q₈×C₅₃	—	4	1	no	—
723	Q₈×C₅₃	—	4	1	no	—
724	D₄×C₅₃	—	4	1	no	—
725	D₄×C₅₃	—	4	1	no	—
726	D₄×C₅₃	—	4	1	no	—
727	C₂×C₄×C₅₃	—	4	1	no	—
728	C₂×C₄×C₅₃	—	4	1	no	—
729	C₂×C₄×C₅₃	—	4	1	no	—
730	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
733	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
734	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
737	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
738	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
739	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
740	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
741	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
742	C₂²⋊D₅₃	—	2	2	no	—
743	C₂²⋊D₅₃	—	2	2	no	—
744	C₂²⋊D₅₃	—	2	2	no	—
745	C₂²⋊D₅₃	—	4	1	no	—
746	C₂²⋊D₅₃	—	4	1	no	—
747	C₂²⋊D₅₃	—	4	1	no	—
748	C₂²⋊D₅₃	—	4	1	no	—
749	C₂²⋊D₅₃	—	4	1	no	—
750	C₂²⋊D₅₃	—	4	1	no	—
751	C₂²⋊D₅₃	—	4	1	no	—
752	C₂²⋊D₅₃	—	4	1	no	—
753	C₂²⋊D₅₃	—	4	1	no	—
754	C₂²⋊D₅₃	—	4	1	no	—
755	C₂²⋊D₅₃	—	4	1	no	—
756	C₂×Dic₅₃	—	2	1	no	—
757	C₂×Dic₅₃	—	2	1	no	—
758	C₂×Dic₅₃	—	2	1	no	—
759	C₂×Dic₅₃	—	2	1	no	—
760	C₂×Dic₅₃	—	2	1	no	—
761	C₂×Dic₅₃	—	2	1	no	—
762	C₂×Dic₅₃	—	4	1	no	—
763	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
764	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
765	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
766	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
767	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
768	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
769	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
770	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
771	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
772	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
773	D₂₁₂	—	4	1	no	—
774	D₂₁₂	—	4	1	no	—
775	D₂₁₂	—	4	1	no	—
776	D₂₁₂	—	4	1	no	—
777	D₂₁₂	—	4	1	no	—
778	D₂₁₂	—	4	1	no	—
779	D₂₁₂	—	4	1	no	—
780	D₂₁₂	—	4	1	no	—
781	D₂₁₂	—	4	1	no	—
782	D₂₁₂	—	4	1	no	—
783	D₂₁₂	—	4	1	no	—
784	D₂₁₂	—	4	1	no	—
785	D₂₁₂	—	4	1	no	—
786	C₄×D₅₃	—	2	2	no	—
787	C₄×D₅₃	—	2	2	no	—
788	C₄×D₅₃	—	2	2	no	—
789	C₄×D₅₃	—	2	1	no	—
790	C₄×D₅₃	—	2	1	no	—
791	C₄×D₅₃	—	2	1	no	—
792	C₄×D₅₃	—	2	1	no	—
793	C₄×D₅₃	—	2	1	no	—
794	C₄×D₅₃	—	2	1	no	—
795	C₄×D₅₃	—	2	1	no	—
796	C₄×D₅₃	—	2	1	no	—
797	C₄×D₅₃	—	2	1	no	—
798	C₄×D₅₃	—	2	1	no	—
799	C₄×D₅₃	—	2	1	no	—
800	C₄×D₅₃	—	2	1	no	—
801	C₄×D₅₃	—	4	1	no	—
802	C₄×D₅₃	—	4	1	no	—
803	C₄×D₅₃	—	4	1	no	—
804	C₄×D₅₃	—	4	1	no	—
805	C₄×D₅₃	—	4	1	no	—
806	C₄×D₅₃	—	4	1	no	—
807	C₄×D₅₃	—	4	1	no	—
808	C₄×D₅₃	—	4	1	no	—
809	C₄×D₅₃	—	4	1	no	—
810	Dic₁₀₆	—	2	2	no	—
811	Dic₁₀₆	—	4	1	no	—
812	Dic₁₀₆	—	4	1	no	—
813	#88324	—	2	1	no	—
814	#88324	—	2	1	no	—
815	#88324	—	2	1	no	—
816	#88324	—	2	1	no	—
817	#88324	—	2	1	no	—
818	#88324	—	2	1	no	—
819	#88324	—	2	1	no	—
820	#88324	—	2	1	no	—
821	#88324	—	2	1	no	—
822	#88324	—	2	1	no	—
823	#88324	—	2	1	no	—
824	#88324	—	2	1	no	—
825	#88324	—	2	1	no	—
826	#88324	—	2	1	no	—
827	#88324	—	2	1	no	—
828	#88324	H(5,𝔽₂)	1	2	yes	—
829	#60326	—	53	1	no	maximal, Sylow
830	C₂²×C₅₃	—	2	1	no	—
831	C₂²×C₅₃	—	2	1	no	—
832	C₂²×C₅₃	—	2	1	no	—
833	C₂²×C₅₃	—	2	1	no	—
834	C₂²×C₅₃	—	2	1	no	—
835	C₂²×C₅₃	—	2	1	no	—
836	C₂²×C₅₃	—	2	1	no	—
837	C₂²×C₅₃	—	2	1	no	—
838	C₂²×C₅₃	—	2	1	no	—
839	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
840	C₂×D₅₃	—	2	1	no	—
841	C₂×D₅₃	—	2	1	no	—
842	C₂×D₅₃	—	2	1	no	—
843	C₂×D₅₃	—	2	1	no	—
844	C₂×D₅₃	—	2	1	no	—
845	C₂×D₅₃	—	2	1	no	—
846	C₂×D₅₃	—	2	1	no	—
847	C₂×D₅₃	—	2	1	no	—
848	C₂×D₅₃	—	2	1	no	—
849	C₂×D₅₃	—	2	1	no	—
850	C₂×D₅₃	—	2	1	no	—
851	C₂×D₅₃	—	2	1	no	—
852	C₂×D₅₃	—	2	1	no	—
853	C₂×D₅₃	—	2	1	no	—
854	C₂×D₅₃	—	2	1	no	—
855	C₂×D₅₃	—	2	1	no	—
856	C₂×D₅₃	—	2	1	no	—
857	C₂×D₅₃	—	2	1	no	—
858	C₂×D₅₃	—	8	2	no	—
859	C₂×D₅₃	—	8	2	no	—
860	C₄×C₅₃	—	2	1	no	—
861	C₄×C₅₃	—	2	1	no	—
862	C₄×C₅₃	—	2	1	no	—
863	C₄×C₅₃	—	2	1	no	—
864	C₄×C₅₃	—	2	1	no	—
865	C₄×C₅₃	—	2	1	no	—
866	C₄×C₅₃	—	2	1	no	—
867	C₄×C₅₃	—	2	1	no	—
868	C₄×C₅₃	—	2	1	no	—
869	C₄×C₅₃	—	2	1	no	—
870	C₄×C₅₃	—	2	1	no	—
871	C₄×C₅₃	—	2	1	no	—
872	Dic₅₃	—	2	1	no	—
873	Dic₅₃	—	2	1	no	—
874	Dic₅₃	—	2	1	no	—
875	Dic₅₃	—	2	1	no	—
876	Dic₅₃	—	2	1	no	—
877	Dic₅₃	—	2	1	no	—
878	Dic₅₃	—	2	1	no	—
879	Dic₅₃	—	2	1	no	—
880	Dic₅₃	#568	1	2	yes	—
881	Dic₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
882	Dic₅₃	#585	1	1	yes	characteristic
883	#3460	—	53	1	no	—
884	#2994	—	53	1	no	—
885	#2993	—	53	1	no	—
886	#2992	—	53	1	no	—
887	#2992	—	53	1	no	—
888	#2990	—	53	1	no	—
889	#2989	—	53	1	no	—
890	#2981	—	53	1	no	—
891	#2980	—	53	1	no	—
892	#2980	—	53	1	no	—
893	#2979	—	53	1	no	—
894	#2978	—	53	1	no	—
895	#2978	—	53	1	no	—
896	#2976	—	53	1	no	—
897	#2976	—	53	1	no	—
898	#2974	—	53	1	no	—
899	#2971	—	53	1	no	—
900	#2969	—	53	1	no	—
901	#2967	—	53	1	no	—
902	#2967	—	53	1	no	—
903	#2966	—	53	1	no	—
904	#2965	—	53	1	no	—
905	#2935	—	53	1	no	—
906	#2935	—	53	1	no	—
907	#2935	—	53	1	no	—
908	D₄×M₁₆	—	53	1	no	—
909	#2933	—	53	1	no	—
910	#2933	—	53	1	no	—
911	#2931	—	53	1	no	—
912	#2930	—	53	1	no	—
913	#2930	—	53	1	no	—
914	C₂×C₅₃	—	4	1	no	—
915	C₂×C₅₃	—	4	1	no	—
916	C₂×C₅₃	—	4	1	no	—
917	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
918	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
919	C₂×C₅₃	#3573	1	1	yes	characteristic
920	D₅₃	—	4	1	no	—
921	D₅₃	—	4	1	no	—
922	D₅₃	—	4	1	no	—
923	D₅₃	—	4	1	no	—
924	D₅₃	—	4	1	no	—
925	D₅₃	—	4	1	no	—
926	C₂×#131	—	53	1	no	—
927	C₂×#131	—	53	1	no	—
928	C₂×#131	—	53	1	no	—
929	C₂×#131	—	53	1	no	—
930	C₂²×M₁₆	—	53	1	no	—
931	C₂²×M₁₆	—	53	1	no	—
932	#544	—	53	1	no	—
933	#542	—	53	1	no	—
934	#542	—	53	1	no	—
935	#542	—	53	1	no	—
936	#542	#6157	1	1	yes	characteristic
937	#540	—	53	1	no	—
938	#540	—	53	1	no	—
939	#540	—	53	1	no	—
940	#540	—	53	1	no	—
941	#538	—	53	1	no	—
942	#538	—	53	1	no	—
943	#538	—	53	1	no	—
944	#538	—	53	1	no	—
945	#537	—	53	1	no	—
946	#535	—	53	1	no	—
947	#535	—	53	1	no	—
948	#532	—	53	1	no	—
949	#532	—	53	1	no	—
950	#532	—	53	1	no	—
951	#532	—	53	1	no	—
952	#529	—	53	1	no	—
953	#529	—	53	1	no	—
954	#529	—	53	1	no	—
955	#529	—	53	1	no	—
956	#525	—	53	1	no	—
957	#525	—	53	1	no	—
958	#525	—	53	1	no	—
959	#525	—	53	1	no	—
960	C₄×#41	—	53	1	no	—
961	C₄×#41	—	53	1	no	—
962	C₂×C₄×D₄	—	53	1	no	—
963	#446	—	53	1	no	—
964	#446	—	53	1	no	—
965	#446	—	53	1	no	—
966	#446	—	53	1	no	—
967	#446	—	53	1	no	—
968	#446	—	53	1	no	—
969	C₈×Q₈	—	53	1	no	—
970	C₈×Q₈	—	53	1	no	—
971	#436	—	53	1	no	—
972	#436	—	53	1	no	—
973	#436	—	53	1	no	—
974	#436	—	53	1	no	—
975	#436	—	53	1	no	—
976	#436	—	53	1	no	—
977	#436	—	53	1	no	—
978	#436	—	53	1	no	—
979	#436	—	53	1	no	—
980	#436	—	53	1	no	—
981	#436	—	53	1	no	—
982	#436	—	53	1	no	—
983	#436	—	53	1	no	—
984	#436	—	53	1	no	—
985	#436	—	53	1	no	—
986	#436	—	53	1	no	—
987	#436	—	53	1	no	—
988	#436	—	53	1	no	—
989	#436	—	53	1	no	—
990	#436	—	53	1	no	—
991	#436	—	53	1	no	—
992	#436	—	53	1	no	—
993	#435	—	53	1	no	—
994	#435	—	53	1	no	—
995	#435	—	53	1	no	—
996	#435	—	53	1	no	—
997	#435	—	53	1	no	—
998	#435	—	53	1	no	—
999	#435	—	53	1	no	—
1000	#435	—	53	1	no	—
1001	#435	—	53	1	no	—
1002	#435	—	53	1	no	—
1003	#435	—	53	1	no	—
1004	#435	—	53	1	no	—
1005	#435	—	53	1	no	—
1006	#435	—	53	1	no	—
1007	#435	—	53	1	no	—
1008	#435	—	53	1	no	—
1009	#435	—	53	1	no	—
1010	#435	—	53	1	no	—
1011	#435	—	53	1	no	—
1012	#435	—	53	1	no	—
1013	#435	—	53	1	no	—
1014	#435	—	53	1	no	—
1015	#435	—	53	1	no	—
1016	#435	—	53	1	no	—
1017	#435	—	53	1	no	—
1018	#435	—	53	1	no	—
1019	#435	—	53	1	no	—
1020	#435	—	53	1	no	—
1021	#435	—	53	1	no	—
1022	#435	—	53	1	no	—
1023	#435	—	53	1	no	—
1024	#435	—	53	1	no	—
1025	#435	—	53	1	no	—
1026	#435	—	53	1	no	—
1027	#435	—	53	1	no	—
1028	#435	—	53	1	no	—
1029	C₈×D₄	—	53	1	no	—
1030	C₈×D₄	—	53	1	no	—
1031	C₈×D₄	—	53	1	no	—
1032	C₈×D₄	—	53	1	no	—
1033	C₈×D₄	—	53	1	no	—
1034	C₈×D₄	—	53	1	no	—
1035	C₈×D₄	—	53	1	no	—
1036	C₈×D₄	—	53	1	no	—
1037	C₈×D₄	—	53	1	no	—
1038	C₈×D₄	—	53	1	no	—
1039	C₈×D₄	—	53	1	no	—
1040	C₈×D₄	—	53	1	no	—
1041	C₈×D₄	—	53	1	no	—
1042	C₈×D₄	—	53	1	no	—
1043	#433	—	53	1	no	—
1044	#433	—	53	1	no	—
1045	#433	—	53	1	no	—
1046	#433	—	53	1	no	—
1047	#433	—	53	1	no	—
1048	#433	—	53	1	no	—
1049	#433	—	53	1	no	—
1050	#433	—	53	1	no	—
1051	#432	—	53	1	no	—
1052	#432	—	53	1	no	—
1053	#432	—	53	1	no	—
1054	#432	—	53	1	no	—
1055	#432	—	53	1	no	—
1056	#432	—	53	1	no	—
1057	#431	—	53	1	no	—
1058	#431	—	53	1	no	—
1059	#431	—	53	1	no	—
1060	#431	—	53	1	no	—
1061	#424	—	53	1	no	—
1062	#424	—	53	1	no	—
1063	#424	—	53	1	no	—
1064	#424	—	53	1	no	—
1065	#423	—	53	1	no	—
1066	#423	—	53	1	no	—
1067	C₂×C₄⋊C₈	—	53	1	no	—
1068	C₂×C₄⋊C₈	—	53	1	no	—
1069	C₂×C₄⋊C₈	—	53	1	no	—
1070	#408	—	53	1	no	—
1071	#408	—	53	1	no	—
1072	#408	—	53	1	no	—
1073	#408	—	53	1	no	—
1074	#408	—	53	1	no	—
1075	#408	—	53	1	no	—
1076	#408	—	53	1	no	—
1077	#408	—	53	1	no	—
1078	#408	—	53	1	no	—
1079	#408	—	53	1	no	—
1080	#408	—	53	1	no	—
1081	#408	—	53	1	no	—
1082	#407	—	53	1	no	—
1083	#407	—	53	1	no	—
1084	#407	—	53	1	no	—
1085	#407	—	53	1	no	—
1086	C₂×C₂²⋊C₈	—	53	1	no	—
1087	C₂×C₂²⋊C₈	—	53	1	no	—
1088	#405	—	53	1	no	—
1089	#405	—	53	1	no	—
1090	#405	—	53	1	no	—
1091	#405	—	53	1	no	—
1092	C₄×M₁₆	—	53	1	no	—
1093	C₄×M₁₆	—	53	1	no	—
1094	C₄×M₁₆	—	53	1	no	—
1095	C₄×M₁₆	—	53	1	no	—
1096	C₂×C₄×C₈	—	53	1	no	—
1097	C₅₃	#60326	1	1	yes	characteristic, complemented, Sylow
1098	C₂×#41	—	53	1	no	—
1099	C₂×#41	—	53	1	no	—
1100	C₂×#41	—	53	1	no	—
1101	C₂×#41	—	53	1	no	—
1102	C₂×#41	—	53	1	no	—
1103	C₂×#41	—	53	1	no	—
1104	C₂²×D₄	—	53	1	no	—
1105	C₂³×C₄	—	53	1	no	—
1106	C₂³×C₄	—	53	1	no	—
1107	#131	—	212	2	no	—
1108	#131	—	212	2	no	—
1109	#131	—	212	2	no	—
1110	#131	—	212	2	no	—
1111	C₂×M₁₆	—	53	1	no	—
1112	C₂×M₁₆	—	53	1	no	—
1113	C₂×M₁₆	—	53	1	no	—
1114	C₂×M₁₆	—	53	1	no	—
1115	C₂×M₁₆	—	53	1	no	—
1116	C₂×M₁₆	—	53	1	no	—
1117	C₂×M₁₆	—	53	1	no	—
1118	C₂×M₁₆	—	53	1	no	—
1119	C₂×M₁₆	—	53	1	no	—
1120	C₂×M₁₆	—	53	1	no	—
1121	C₂×M₁₆	—	53	1	no	—
1122	C₂×M₁₆	—	53	1	no	—
1123	C₂×M₁₆	—	53	1	no	—
1124	C₂×M₁₆	—	53	1	no	—
1125	C₂×M₁₆	—	53	1	no	—
1126	C₂×M₁₆	—	53	1	no	—
1127	C₂×M₁₆	—	53	1	no	—
1128	C₂×M₁₆	—	53	1	no	—
1129	C₂×M₁₆	—	53	1	no	—
1130	C₂×M₁₆	—	53	1	no	—
1131	C₂×M₁₆	—	212	2	no	—
1132	C₂×M₁₆	—	212	2	no	—
1133	C₂²×C₈	—	53	1	no	—
1134	C₂²×C₈	—	53	1	no	—
1135	C₂²×C₈	—	53	1	no	—
1136	C₂²×C₈	—	53	1	no	—
1137	C₂²×C₈	—	53	1	no	—
1138	C₂²×C₈	—	53	1	no	—
1139	C₂²×C₈	—	53	1	no	—
1140	C₂²×C₈	—	53	1	no	—
1141	C₂²×C₈	—	53	1	no	—
1142	C₂²×C₈	—	53	1	no	—
1143	C₂²×C₈	—	53	1	no	—
1144	C₂²×C₈	—	53	1	no	—
1145	C₂²×C₈	—	53	1	no	—
1146	C₂²×C₈	—	53	1	no	—
1147	C₂²×C₈	—	53	1	no	—
1148	C₂²×C₈	—	53	1	no	—
1149	C₄⋊Q₈	—	53	1	no	—
1150	C₄⋊Q₈	—	53	1	no	—
1151	C₄⋊Q₈	—	53	1	no	—
1152	C₄⋊Q₈	C₂×#6157	1	1	yes	characteristic
1153	#127	—	53	1	no	—
1154	#127	—	53	1	no	—
1155	#127	—	53	1	no	—
1156	#127	—	53	1	no	—
1157	#126	—	53	1	no	—
1158	#126	—	53	1	no	—
1159	#126	—	53	1	no	—
1160	#126	—	53	1	no	—
1161	#126	—	53	1	no	—
1162	#126	—	53	1	no	—
1163	#126	C₂×#6157	1	1	yes	characteristic
1164	#126	C₂×#6157	1	1	yes	characteristic
1165	#125	—	53	1	no	—
1166	#125	—	53	1	no	—
1167	#125	—	53	1	no	—
1168	#125	—	53	1	no	—
1169	#124	—	53	1	no	—
1170	#124	—	53	1	no	—
1171	#124	—	53	1	no	—
1172	#124	—	53	1	no	—
1173	#124	—	53	1	no	—
1174	#124	—	53	1	no	—
1175	#124	—	53	1	no	—
1176	#124	—	53	1	no	—
1177	#124	—	53	1	no	—
1178	#124	C₂×#6157	1	1	yes	characteristic
1179	#124	C₂×#6157	1	1	yes	characteristic
1180	#124	C₂×#6157	1	1	yes	characteristic
1181	#123	—	53	1	no	—
1182	#123	—	53	1	no	—
1183	#123	—	53	1	no	—
1184	#123	—	53	1	no	—
1185	#123	—	53	1	no	—
1186	#123	—	53	1	no	—
1187	#123	—	53	1	no	—
1188	#123	—	53	1	no	—
1189	#123	—	53	1	no	—
1190	#123	—	53	1	no	—
1191	#123	—	53	1	no	—
1192	#123	—	53	1	no	—
1193	#123	—	53	1	no	—
1194	#123	—	53	1	no	—
1195	#123	C₂×#6157	1	1	yes	characteristic
1196	#123	C₂×#6157	1	1	yes	characteristic
1197	C₂²⋊Q₈	—	53	1	no	—
1198	C₂²⋊Q₈	—	53	1	no	—
1199	C₂²⋊Q₈	—	53	1	no	—
1200	C₂²⋊Q₈	—	53	1	no	—
1201	C₂²⋊Q₈	—	53	1	no	—
1202	C₂²⋊Q₈	—	53	1	no	—
1203	C₂²⋊Q₈	—	53	1	no	—
1204	C₂²⋊Q₈	—	53	1	no	—
1205	C₂²⋊Q₈	—	53	1	no	—
1206	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1209	#121	—	53	1	no	—
1210	#121	—	53	1	no	—
1211	#121	—	53	1	no	—
1212	#121	—	53	1	no	—
1213	#121	—	53	1	no	—
1214	#121	—	53	1	no	—
1215	#121	—	53	1	no	—
1216	#121	—	53	1	no	—
1217	#121	—	53	1	no	—
1218	#121	—	53	1	no	—
1219	#121	—	53	1	no	—
1220	#121	—	53	1	no	—
1221	#121	—	53	1	no	—
1222	#121	—	53	1	no	—
1223	#121	—	53	1	no	—
1224	#121	—	53	1	no	—
1225	#121	—	53	1	no	—
1226	#121	—	53	1	no	—
1227	#121	—	53	1	no	—
1228	#121	—	53	1	no	—
1229	#121	—	53	1	no	—
1230	#121	—	53	1	no	—
1231	#121	—	53	1	no	—
1232	#121	—	53	1	no	—
1233	#121	—	53	1	no	—
1234	#121	—	53	1	no	—
1235	#121	—	53	1	no	—
1236	#121	C₂×#6157	1	1	yes	characteristic
1237	#120	—	53	1	no	—
1238	#120	—	53	1	no	—
1239	#120	—	53	1	no	—
1240	#120	—	53	1	no	—
1241	#120	—	53	1	no	—
1242	#120	—	53	1	no	—
1243	#120	—	53	1	no	—
1244	#120	—	53	1	no	—
1245	C₄×Q₈	—	53	1	no	—
1246	C₄×Q₈	—	53	1	no	—
1247	C₄×Q₈	—	53	1	no	—
1248	C₄×Q₈	C₂×#6157	1	1	yes	characteristic
1249	C₄×D₄	—	53	1	no	—
1250	C₄×D₄	—	53	1	no	—
1251	C₄×D₄	—	53	1	no	—
1252	C₄×D₄	—	53	1	no	—
1253	C₄×D₄	—	53	1	no	—
1254	C₄×D₄	—	53	1	no	—
1255	C₄×D₄	—	53	1	no	—
1256	C₄×D₄	—	53	1	no	—
1257	C₄×D₄	—	53	1	no	—
1258	C₄×D₄	—	53	1	no	—
1259	C₄×D₄	—	53	1	no	—
1260	C₄×D₄	—	53	1	no	—
1261	C₄×D₄	—	53	1	no	—
1262	C₄×D₄	—	53	1	no	—
1263	C₄×D₄	—	53	1	no	—
1264	C₄×D₄	—	53	1	no	—
1265	C₄×D₄	—	53	1	no	—
1266	C₄×D₄	—	53	1	no	—
1267	C₄×D₄	—	53	1	no	—
1268	C₄×D₄	—	53	1	no	—
1269	C₄×D₄	—	53	1	no	—
1270	C₄×D₄	—	53	1	no	—
1271	C₄×D₄	—	53	1	no	—
1272	C₄×D₄	—	53	1	no	—
1273	C₄×D₄	—	53	1	no	—
1274	C₄×D₄	—	53	1	no	—
1275	C₄×D₄	—	53	1	no	—
1276	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1277	#117	—	53	1	no	—
1278	#117	—	53	1	no	—
1279	#117	—	53	1	no	—
1280	#117	—	53	1	no	—
1281	#117	—	53	1	no	—
1282	#117	—	53	1	no	—
1283	#117	—	53	1	no	—
1284	#117	—	53	1	no	—
1285	#117	—	53	1	no	—
1286	#117	C₂×#6157	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	53	1	no	—
1288	C₂×C₂²⋊C₄	—	53	1	no	—
1289	C₂×C₂²⋊C₄	—	53	1	no	—
1290	C₂×C₄²	—	53	1	no	—
1291	C₂×C₄²	—	53	1	no	—
1292	C₂×C₄²	—	53	1	no	—
1293	C₂×C₄²	—	53	1	no	—
1294	C₂×C₄²	—	53	1	no	—
1295	C₄⋊C₈	—	53	1	no	—
1296	C₄⋊C₈	—	53	1	no	—
1297	C₄⋊C₈	—	53	1	no	—
1298	C₄⋊C₈	—	53	1	no	—
1299	C₄⋊C₈	—	53	1	no	—
1300	C₄⋊C₈	—	53	1	no	—
1301	C₄⋊C₈	—	53	1	no	—
1302	C₄⋊C₈	—	53	1	no	—
1303	C₄⋊C₈	—	53	1	no	—
1304	C₄⋊C₈	—	53	1	no	—
1305	C₄⋊C₈	—	53	1	no	—
1306	C₄⋊C₈	—	53	1	no	—
1307	C₄⋊C₈	—	53	1	no	—
1308	C₄⋊C₈	—	53	1	no	—
1309	C₄⋊C₈	—	53	1	no	—
1310	C₄⋊C₈	—	53	1	no	—
1311	C₄⋊C₈	—	53	1	no	—
1312	C₄⋊C₈	—	53	1	no	—
1313	C₄⋊C₈	—	53	1	no	—
1314	C₄⋊C₈	—	53	1	no	—
1315	C₄⋊C₈	—	53	1	no	—
1316	C₄⋊C₈	—	53	1	no	—
1317	C₄⋊C₈	—	53	1	no	—
1318	C₄⋊C₈	—	53	1	no	—
1319	C₂²⋊C₈	—	53	1	no	—
1320	C₂²⋊C₈	—	53	1	no	—
1321	C₂²⋊C₈	—	53	1	no	—
1322	C₂²⋊C₈	—	53	1	no	—
1323	C₂²⋊C₈	—	53	1	no	—
1324	C₂²⋊C₈	—	53	1	no	—
1325	C₂²⋊C₈	—	53	1	no	—
1326	C₂²⋊C₈	—	53	1	no	—
1327	C₂²⋊C₈	—	53	1	no	—
1328	C₂²⋊C₈	—	53	1	no	—
1329	C₂²⋊C₈	—	53	1	no	—
1330	C₂²⋊C₈	—	53	1	no	—
1331	C₂²⋊C₈	—	53	1	no	—
1332	C₂²⋊C₈	—	53	1	no	—
1333	C₂²⋊C₈	—	53	1	no	—
1334	C₂²⋊C₈	—	53	1	no	—
1335	C₂²⋊C₈	—	53	1	no	—
1336	C₂²⋊C₈	—	53	1	no	—
1337	C₂²⋊C₈	—	53	1	no	—
1338	C₂²⋊C₈	—	53	1	no	—
1339	C₂²⋊C₈	—	53	1	no	—
1340	C₂²⋊C₈	—	53	1	no	—
1341	C₂²⋊C₈	—	53	1	no	—
1342	C₂²⋊C₈	—	53	1	no	—
1343	C₂²⋊C₈	—	53	1	no	—
1344	C₂²⋊C₈	—	53	1	no	—
1345	C₂²⋊C₈	—	53	1	no	—
1346	C₂²⋊C₈	—	53	1	no	—
1347	C₂²⋊C₈	—	53	1	no	—
1348	C₂²⋊C₈	—	53	1	no	—
1349	C₂²⋊C₈	—	53	1	no	—
1350	C₂²⋊C₈	—	53	1	no	—
1351	C₂²⋊C₈	—	53	1	no	—
1352	C₂²⋊C₈	—	53	1	no	—
1353	C₂²⋊C₈	—	53	1	no	—
1354	C₂²⋊C₈	—	53	1	no	—
1355	#97	—	53	1	no	—
1356	#97	—	53	1	no	—
1357	#97	—	53	1	no	—
1358	#97	—	53	1	no	—
1359	#97	—	53	1	no	—
1360	#97	—	53	1	no	—
1361	#97	—	53	1	no	—
1362	#97	—	53	1	no	—
1363	#97	—	53	1	no	—
1364	#97	—	53	1	no	—
1365	#97	—	53	1	no	—
1366	#97	—	53	1	no	—
1367	C₄×C₈	—	53	1	no	—
1368	C₄×C₈	—	53	1	no	—
1369	C₄×C₈	—	53	1	no	—
1370	C₄×C₈	—	53	1	no	—
1371	C₄×C₈	—	53	1	no	—
1372	C₄×C₈	—	53	1	no	—
1373	C₄×C₈	—	53	1	no	—
1374	C₄×C₈	—	53	1	no	—
1375	C₄×C₈	—	53	1	no	—
1376	C₄×C₈	—	53	1	no	—
1377	C₄×C₈	—	53	1	no	—
1378	C₄×C₈	—	53	1	no	—
1379	C₂⁴	—	53	1	no	—
1380	C₂⁴	—	53	1	no	—
1381	#41	—	212	2	no	—
1382	#41	—	212	1	no	—
1383	#41	—	212	1	no	—
1384	#41	—	212	1	no	—
1385	#41	—	212	1	no	—
1386	#41	—	212	1	no	—
1387	#41	—	212	1	no	—
1388	#41	—	212	1	no	—
1389	#41	—	212	1	no	—
1390	#41	—	212	2	no	—
1391	C₂×Q₈	—	53	1	no	—
1392	C₂×Q₈	—	53	1	no	—
1393	C₂×Q₈	—	53	1	no	—
1394	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1395	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1396	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1397	C₂×D₄	—	53	1	no	—
1398	C₂×D₄	—	53	1	no	—
1399	C₂×D₄	—	53	1	no	—
1400	C₂×D₄	—	53	1	no	—
1401	C₂×D₄	—	53	1	no	—
1402	C₂×D₄	—	53	1	no	—
1403	C₂×D₄	—	53	1	no	—
1404	C₂×D₄	—	53	1	no	—
1405	C₂×D₄	—	53	1	no	—
1406	C₂×D₄	—	53	1	no	—
1407	C₂×D₄	—	53	1	no	—
1408	C₂×D₄	—	53	1	no	—
1409	C₂×D₄	—	53	1	no	—
1410	C₂×D₄	—	53	1	no	—
1411	C₂×D₄	—	53	1	no	—
1412	C₂×D₄	—	53	1	no	—
1413	C₂×D₄	—	53	1	no	—
1414	C₂×D₄	—	53	1	no	—
1415	C₂×D₄	—	53	1	no	—
1416	C₂×D₄	—	53	1	no	—
1417	C₂×D₄	—	53	1	no	—
1418	C₂×D₄	—	53	1	no	—
1419	C₂×D₄	—	53	1	no	—
1420	C₂×D₄	—	53	1	no	—
1421	C₂×D₄	—	53	1	no	—
1422	C₂×D₄	—	53	1	no	—
1423	C₂×D₄	—	53	1	no	—
1424	C₂×D₄	—	212	2	no	—
1425	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1426	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1427	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1428	C₂²×C₄	—	53	1	no	—
1429	C₂²×C₄	—	53	1	no	—
1430	C₂²×C₄	—	53	1	no	—
1431	C₂²×C₄	—	53	1	no	—
1432	C₂²×C₄	—	53	1	no	—
1433	C₂²×C₄	—	53	1	no	—
1434	C₂²×C₄	—	53	1	no	—
1435	C₂²×C₄	—	53	1	no	—
1436	C₂²×C₄	—	53	1	no	—
1437	C₂²×C₄	—	53	1	no	—
1438	C₂²×C₄	—	53	1	no	—
1439	C₂²×C₄	—	53	1	no	—
1440	C₂²×C₄	—	53	1	no	—
1441	C₂²×C₄	—	53	1	no	—
1442	C₂²×C₄	—	53	1	no	—
1443	C₂²×C₄	—	53	1	no	—
1444	C₂²×C₄	—	53	1	no	—
1445	C₂²×C₄	—	53	1	no	—
1446	C₂²×C₄	—	53	1	no	—
1447	C₂²×C₄	—	53	1	no	—
1448	C₂²×C₄	—	53	1	no	—
1449	C₂²×C₄	—	53	1	no	—
1450	C₂²×C₄	—	212	1	no	—
1451	C₂²×C₄	—	212	1	no	—
1452	C₂²×C₄	—	212	1	no	—
1453	C₂²×C₄	—	212	1	no	—
1454	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1455	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1456	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1457	M₁₆	—	106	2	no	—
1458	M₁₆	—	106	2	no	—
1459	M₁₆	—	106	2	no	—
1460	M₁₆	—	106	2	no	—
1461	M₁₆	—	106	2	no	—
1462	M₁₆	—	106	2	no	—
1463	M₁₆	—	212	1	no	—
1464	M₁₆	—	212	1	no	—
1465	M₁₆	—	212	1	no	—
1466	M₁₆	—	212	1	no	—
1467	M₁₆	—	212	1	no	—
1468	M₁₆	—	212	1	no	—
1469	M₁₆	—	212	1	no	—
1470	M₁₆	—	212	1	no	—
1471	M₁₆	—	212	1	no	—
1472	M₁₆	—	212	1	no	—
1473	M₁₆	—	212	1	no	—
1474	M₁₆	—	212	1	no	—
1475	M₁₆	—	212	1	no	—
1476	M₁₆	—	212	1	no	—
1477	C₂×C₈	—	53	1	no	—
1478	C₂×C₈	—	53	1	no	—
1479	C₂×C₈	—	53	1	no	—
1480	C₂×C₈	—	53	1	no	—
1481	C₂×C₈	—	53	1	no	—
1482	C₂×C₈	—	53	1	no	—
1483	C₂×C₈	—	53	1	no	—
1484	C₂×C₈	—	53	1	no	—
1485	C₂×C₈	—	53	1	no	—
1486	C₂×C₈	—	53	1	no	—
1487	C₂×C₈	—	53	1	no	—
1488	C₂×C₈	—	53	1	no	—
1489	C₂×C₈	—	53	1	no	—
1490	C₂×C₈	—	53	1	no	—
1491	C₂×C₈	—	53	1	no	—
1492	C₂×C₈	—	53	1	no	—
1493	C₂×C₈	—	106	2	no	—
1494	C₂×C₈	—	106	2	no	—
1495	C₂×C₈	—	106	2	no	—
1496	C₂×C₈	—	212	1	no	—
1497	C₂×C₈	—	212	1	no	—
1498	C₂×C₈	—	212	1	no	—
1499	C₂×C₈	—	212	1	no	—
1500	C₂×C₈	—	212	1	no	—
1501	C₂×C₈	—	212	1	no	—
1502	C₂×C₈	—	212	1	no	—
1503	C₂×C₈	—	212	1	no	—
1504	C₂×C₈	—	212	1	no	—
1505	C₂×C₈	—	212	1	no	—
1506	C₂×C₈	—	212	1	no	—
1507	C₂×C₈	—	212	1	no	—
1508	C₂×C₈	—	212	1	no	—
1509	C₄⋊C₄	—	53	1	no	—
1510	C₄⋊C₄	—	53	1	no	—
1511	C₄⋊C₄	—	53	1	no	—
1512	C₄⋊C₄	—	53	1	no	—
1513	C₄⋊C₄	—	53	1	no	—
1514	C₄⋊C₄	—	53	1	no	—
1515	C₄⋊C₄	—	53	1	no	—
1516	C₄⋊C₄	—	53	1	no	—
1517	C₄⋊C₄	—	53	1	no	—
1518	C₄⋊C₄	—	53	1	no	—
1519	C₄⋊C₄	—	53	1	no	—
1520	C₄⋊C₄	—	53	1	no	—
1521	C₄⋊C₄	—	53	1	no	—
1522	C₄⋊C₄	—	53	1	no	—
1523	C₄⋊C₄	—	53	1	no	—
1524	C₄⋊C₄	—	53	1	no	—
1525	C₄⋊C₄	—	53	1	no	—
1526	C₄⋊C₄	—	53	1	no	—
1527	C₄⋊C₄	—	53	1	no	—
1528	C₄⋊C₄	—	53	1	no	—
1529	C₄⋊C₄	—	53	1	no	—
1530	C₄⋊C₄	—	53	1	no	—
1531	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1532	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1533	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1534	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1535	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1536	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1537	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1538	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1539	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1540	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1541	C₂²⋊C₄	—	53	1	no	—
1542	C₂²⋊C₄	—	53	1	no	—
1543	C₂²⋊C₄	—	53	1	no	—
1544	C₂²⋊C₄	—	53	1	no	—
1545	C₂²⋊C₄	—	53	1	no	—
1546	C₂²⋊C₄	—	53	1	no	—
1547	C₂²⋊C₄	—	53	1	no	—
1548	C₂²⋊C₄	—	53	1	no	—
1549	C₂²⋊C₄	—	53	1	no	—
1550	C₂²⋊C₄	—	53	1	no	—
1551	C₂²⋊C₄	—	53	1	no	—
1552	C₂²⋊C₄	—	53	1	no	—
1553	C₂²⋊C₄	—	53	1	no	—
1554	C₂²⋊C₄	—	53	1	no	—
1555	C₂²⋊C₄	—	53	1	no	—
1556	C₂²⋊C₄	—	53	1	no	—
1557	C₂²⋊C₄	—	53	1	no	—
1558	C₂²⋊C₄	—	53	1	no	—
1559	C₂²⋊C₄	—	53	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	C₂²×#6157	1	1	yes	characteristic
1574	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1576	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1585	C₄²	—	53	1	no	—
1586	C₄²	—	53	1	no	—
1587	C₄²	—	53	1	no	—
1588	C₄²	—	53	1	no	—
1589	C₄²	—	53	1	no	—
1590	C₄²	—	53	1	no	—
1591	C₄²	—	53	1	no	—
1592	C₄²	—	53	1	no	—
1593	C₄²	—	53	1	no	—
1594	C₄²	—	53	1	no	—
1595	C₄²	—	53	1	no	—
1596	C₄²	—	53	1	no	—
1597	C₄²	C₂²×#6157	1	1	yes	characteristic
1598	C₄²	C₂²×#6157	1	1	yes	characteristic
1599	C₄²	C₂²×#6157	1	1	yes	characteristic
1600	C₄²	C₂²×#6157	1	1	yes	characteristic
1601	C₂³	—	53	1	no	—
1602	C₂³	—	53	1	no	—
1603	C₂³	—	53	1	no	—
1604	C₂³	—	53	1	no	—
1605	C₂³	—	53	1	no	—
1606	C₂³	—	53	1	no	—
1607	C₂³	—	212	1	no	—
1608	C₂³	—	212	1	no	—
1609	C₂³	—	212	1	no	—
1610	C₂³	—	212	1	no	—
1611	C₂³	—	212	1	no	—
1612	C₂³	—	212	1	no	—
1613	C₂³	C₂³×#6157	1	1	yes	characteristic
1614	C₂³	C₂³×#6157	1	1	yes	characteristic
1615	C₂³	C₂³×#6157	1	1	yes	characteristic
1616	Q₈	—	4	1	no	—
1617	Q₈	—	4	1	no	—
1618	Q₈	—	4	1	no	—
1619	Q₈	—	106	2	no	—
1620	Q₈	—	212	1	no	—
1621	Q₈	—	212	1	no	—
1622	D₄	—	4	1	no	—
1623	D₄	—	4	1	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	106	2	no	—
1626	D₄	—	106	2	no	—
1627	D₄	—	106	2	no	—
1628	D₄	—	212	1	no	—
1629	D₄	—	212	1	no	—
1630	D₄	—	212	1	no	—
1631	D₄	—	212	1	no	—
1632	D₄	—	212	1	no	—
1633	D₄	—	212	1	no	—
1634	D₄	—	212	1	no	—
1635	D₄	—	212	1	no	—
1636	D₄	—	212	1	no	—
1637	D₄	—	212	1	no	—
1638	D₄	—	212	1	no	—
1639	D₄	—	212	1	no	—
1640	D₄	—	212	1	no	—
1641	D₄	—	212	1	no	—
1642	D₄	—	212	1	no	—
1643	D₄	—	212	1	no	—
1644	D₄	—	212	1	no	—
1645	D₄	—	212	1	no	—
1646	D₄	—	212	1	no	—
1647	D₄	—	212	1	no	—
1648	D₄	—	212	1	no	—
1649	D₄	—	212	1	no	—
1650	D₄	—	212	1	no	—
1651	D₄	—	212	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	4	1	no	—
1654	C₂×C₄	—	4	1	no	—
1655	C₂×C₄	—	53	1	no	—
1656	C₂×C₄	—	53	1	no	—
1657	C₂×C₄	—	53	1	no	—
1658	C₂×C₄	—	53	1	no	—
1659	C₂×C₄	—	53	1	no	—
1660	C₂×C₄	—	53	1	no	—
1661	C₂×C₄	—	53	1	no	—
1662	C₂×C₄	—	53	1	no	—
1663	C₂×C₄	—	53	1	no	—
1664	C₂×C₄	—	53	1	no	—
1665	C₂×C₄	—	106	1	no	—
1666	C₂×C₄	—	106	1	no	—
1667	C₂×C₄	—	106	1	no	—
1668	C₂×C₄	—	106	1	no	—
1669	C₂×C₄	—	106	1	no	—
1670	C₂×C₄	—	106	1	no	—
1671	C₂×C₄	—	106	1	no	—
1672	C₂×C₄	—	106	1	no	—
1673	C₂×C₄	—	106	1	no	—
1674	C₂×C₄	—	106	1	no	—
1675	C₂×C₄	—	106	1	no	—
1676	C₂×C₄	—	106	1	no	—
1677	C₂×C₄	—	106	2	no	—
1678	C₂×C₄	—	106	2	no	—
1679	C₂×C₄	—	106	2	no	—
1680	C₂×C₄	—	106	1	no	—
1681	C₂×C₄	—	106	1	no	—
1682	C₂×C₄	—	106	1	no	—
1683	C₂×C₄	—	106	1	no	—
1684	C₂×C₄	—	106	1	no	—
1685	C₂×C₄	—	106	1	no	—
1686	C₂×C₄	—	212	1	no	—
1687	C₂×C₄	—	212	1	no	—
1688	C₂×C₄	—	212	1	no	—
1689	C₂×C₄	—	212	1	no	—
1690	C₂×C₄	—	212	1	no	—
1691	C₂×C₄	—	212	1	no	—
1692	C₂×C₄	—	212	1	no	—
1693	C₂×C₄	—	212	1	no	—
1694	C₂×C₄	—	212	1	no	—
1695	C₂×C₄	—	212	1	no	—
1696	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1697	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1698	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1699	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1700	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1701	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1702	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1703	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1704	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1705	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1706	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1707	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1708	C₈	—	53	2	no	—
1709	C₈	—	106	1	no	—
1710	C₈	—	106	1	no	—
1711	C₈	—	106	1	no	—
1712	C₈	—	106	1	no	—
1713	C₈	—	106	1	no	—
1714	C₈	—	106	1	no	—
1715	C₈	—	106	1	no	—
1716	C₈	—	106	1	no	—
1717	C₈	—	106	1	no	—
1718	C₈	—	106	1	no	—
1719	C₈	—	106	1	no	—
1720	C₈	—	106	1	no	—
1721	C₈	—	106	1	no	—
1722	C₈	—	106	1	no	—
1723	C₈	—	106	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	106	1	no	—
1734	C₂²	—	106	1	no	—
1735	C₂²	—	106	1	no	—
1736	C₂²	—	106	1	no	—
1737	C₂²	—	106	1	no	—
1738	C₂²	—	106	1	no	—
1739	C₂²	—	106	1	no	—
1740	C₂²	—	106	1	no	—
1741	C₂²	—	106	1	no	—
1742	C₂²	—	106	1	no	—
1743	C₂²	—	106	1	no	—
1744	C₂²	—	106	1	no	—
1745	C₂²	—	106	1	no	—
1746	C₂²	—	106	1	no	—
1747	C₂²	—	106	1	no	—
1748	C₂²	—	106	1	no	—
1749	C₂²	—	106	1	no	—
1750	C₂²	—	106	1	no	—
1751	C₂²	—	424	2	no	—
1752	C₂²	—	424	2	no	—
1753	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	53	1	no	—
1767	C₄	—	53	1	no	—
1768	C₄	—	53	2	no	—
1769	C₄	—	106	1	no	—
1770	C₄	—	106	1	no	—
1771	C₄	—	106	1	no	—
1772	C₄	—	106	1	no	—
1773	C₄	—	106	1	no	—
1774	C₄	—	106	1	no	—
1775	C₄	—	106	1	no	—
1776	C₄	—	106	1	no	—
1777	C₂	—	4	1	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	212	1	no	—
1781	C₂	—	212	1	no	—
1782	C₂	—	212	1	no	—
1783	C₂	—	212	1	no	—
1784	C₂	—	212	1	no	—
1785	C₂	—	212	1	no	—
1786	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
1787	C₂	D₅₃⋊#568	1	1	yes	characteristic
1788	C₂	#20291711	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#542	C₄
prime radical	#20288135	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#542	#6157
hypocenter	C₅₃	#60326
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #542

Complements

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

N	H ≅ G/N	type
1. #20291664	C₂	semidirect
2. #20291659	C₂	semidirect
3. #20291654	C₂	semidirect
4. #20291652	C₂	semidirect
5. #20291644	C₂	semidirect
6. #20291639	C₂	semidirect
7. #20291606	C₂	semidirect
8. #20291602	C₂	semidirect
9. #20291599	C₂	semidirect
10. #20291597	C₂	semidirect
11. #20291594	C₂	semidirect
12. #20291593	C₂	semidirect
13. #20291585	C₂	semidirect
14. #20291583	C₂	semidirect
15. #20291572	C₂	semidirect
16. #20291558	C₂	semidirect
17. #20291550	C₂	semidirect
18. #20291536	C₂	semidirect
19. #20291535	C₂	semidirect
20. #20291533	C₂	semidirect
21. #20291523	C₂	semidirect
22. #20291461	C₂	semidirect
23. #20291460	C₂	semidirect
24. #20291459	C₂	semidirect
25. #20291454	C₂	semidirect
26. #20291449	C₂	semidirect
27. #20291448	C₂	semidirect
28. #20291439	C₂	semidirect
29. #20291436	C₂	semidirect
30. #20291435	C₂	semidirect
32. C₂×#13133305	C₂²	semidirect
33. C₂×#13133305	C₂²	semidirect
34. C₂×#13133304	C₂²	semidirect
35. C₂×#13133304	C₂²	semidirect
38. #16811675	C₂²	semidirect
39. #16811675	C₂²	semidirect
40. #16811674	C₂²	semidirect
41. #16811674	C₂²	semidirect
42. #16811674	C₂²	semidirect
43. #16811674	C₂²	semidirect
44. #16811672	C₂²	semidirect
45. #16811672	C₂²	semidirect
52. #16811657	C₂²	semidirect
53. #16811657	C₂²	semidirect
60. #16811656	C₂²	semidirect
61. #16811656	C₂²	semidirect
62. #16811656	C₂²	semidirect
63. #16811656	C₂²	semidirect
64. #16811656	C₂²	semidirect
65. #16811656	C₂²	semidirect
66. #16811656	C₂²	semidirect
67. #16811656	C₂²	semidirect
68. #16811655	C₂²	semidirect
69. #16811655	C₂²	semidirect
70. #16811655	C₂²	semidirect
71. #16811655	C₂²	semidirect
72. #16811655	C₂²	semidirect
73. #16811655	C₂²	semidirect
88. #16811653	C₂²	semidirect
89. #16811653	C₂²	semidirect
90. #16811653	C₂²	semidirect
91. #16811653	C₂²	semidirect
92. #16811653	C₂²	semidirect
93. #16811653	C₂²	semidirect
94. #16811653	C₂²	semidirect
95. #16811653	C₂²	semidirect
98. #16811652	C₂²	semidirect
99. #16811652	C₂²	semidirect
100. #16811652	C₂²	semidirect
101. #16811652	C₂²	semidirect
102. #16811652	C₂²	semidirect
103. #16811652	C₂²	semidirect
104. #16811651	C₂²	semidirect
105. #16811651	C₂²	semidirect
110. #16811650	C₂²	semidirect
111. #16811650	C₂²	semidirect
112. #16811650	C₂²	semidirect
113. #16811650	C₂²	semidirect
114. #16811650	C₂²	semidirect
115. #16811650	C₂²	semidirect
116. #16811650	C₂²	semidirect
117. #16811650	C₂²	semidirect
118. #16811648	C₂²	semidirect
119. #16811648	C₂²	semidirect
120. #16811648	C₂²	semidirect
121. #16811648	C₂²	semidirect
122. #16811647	C₂²	semidirect
123. #16811647	C₂²	semidirect
124. #16811647	C₂²	semidirect
125. #16811647	C₂²	semidirect
127. #16811646	C₂²	semidirect
128. #16811646	C₂²	semidirect
129. #16811646	C₂²	semidirect
130. #16811644	C₂²	semidirect
131. #16811643	C₂²	semidirect
132. #16811642	C₂²	semidirect
134. #16811641	C₂²	semidirect
135. #16811641	C₂²	semidirect
136. #16811630	C₂²	semidirect
137. #16811630	C₂²	semidirect
138. #16811629	C₂²	semidirect
139. #16811629	C₂²	semidirect
141. #16811628	C₂²	semidirect
142. C₂×#13133284	C₂²	semidirect
143. D₅₃⋊(C₄⋊C₈)	C₂²	semidirect
144. D₅₃⋊(C₄⋊C₈)	C₂²	semidirect
145. #16811598	C₂²	semidirect
146. #16811598	C₂²	semidirect
147. #16811598	C₂²	semidirect
148. #16811598	C₂²	semidirect
149. #16811598	C₂²	semidirect
150. #16811598	C₂²	semidirect
151. #16811597	C₂²	semidirect
152. #16811597	C₂²	semidirect
153. #16811596	C₂²	semidirect
154. #16811596	C₂²	semidirect
155. #16811596	C₂²	semidirect
156. #16811596	C₂²	semidirect
163. #16811588	C₂²	semidirect
164. #16811588	C₂²	semidirect
165. #16811587	C₂²	semidirect
166. #16811587	C₂²	semidirect
168. C₄×#11719936	C₂²	semidirect
169. C₄×#11719936	C₂²	semidirect
170. C₄×#11719940	C₂²	semidirect
171. C₄×D₅₃⋊C₈	C₂²	semidirect
1097. C₅₃	#60326	semidirect

Maximal subgroups

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

subgroup	index
#20291664	2
#20291659	2
#20291654	2
#20291652	2
#20291644	2
#20291639	2
#20291606	2
#20291602	2
#20291599	2
#20291597	2
#20291594	2
#20291593	2
#20291585	2
#20291583	2
#20291572	2
#20291558	2
#20291550	2
#20291536	2
#20291535	2
#20291533	2
#20291523	2
#20291461	2
#20291460	2
#20291459	2
#20291454	2
#20291449	2
#20291448	2
#20291439	2
#20291436	2
#20291435	2
#20288135	2
#60326	53