Subgroups — #28330125

Order 13568.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291673	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291672	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291670	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291669	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291667	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291666	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291664	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291663	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291661	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291660	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291659	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291656	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291655	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291654	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291653	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291650	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291512	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291510	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291459	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291457	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291436	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	#20291432	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291413	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291410	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291397	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291362	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291360	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811630	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288101	C₂	1	1	yes	maximal, characteristic
32	C₂×#13133304	C₂²	1	1	yes	characteristic
33	C₂×#13133304	C₂²	1	1	yes	characteristic
34	C₂×#13133304	C₂²	1	1	yes	characteristic
35	C₂×#13133304	C₂²	1	1	yes	characteristic
36	C₂²×#11719936	C₂²	1	1	yes	characteristic
37	C₂²×D₅₃⋊C₈	C₂²	1	1	yes	characteristic
38	#16811675	C₂²	1	1	yes	characteristic, complemented
39	#16811675	C₂²	1	1	yes	characteristic, complemented
40	#16811675	C₂²	1	1	yes	characteristic, complemented
41	#16811675	C₂²	1	1	yes	characteristic, complemented
42	#16811675	C₂²	1	1	yes	characteristic, complemented
43	#16811675	C₂²	1	1	yes	characteristic, complemented
44	#16811674	C₂²	1	1	yes	characteristic, complemented
45	#16811674	C₂²	1	1	yes	characteristic, complemented
46	#16811674	C₂²	1	1	yes	characteristic, complemented
47	#16811673	C₂²	1	1	yes	characteristic, complemented
48	#16811673	C₂²	1	1	yes	characteristic, complemented
49	#16811673	C₂²	1	1	yes	characteristic, complemented
50	#16811672	C₂²	1	1	yes	characteristic, complemented
51	#16811672	C₂²	1	1	yes	characteristic, complemented
52	#16811672	C₂²	1	1	yes	characteristic, complemented
53	Q₈×#88324	C₂²	1	1	yes	characteristic, complemented
54	#16811658	C₂²	1	1	yes	characteristic, complemented
55	#16811657	C₂²	1	1	yes	characteristic
56	#16811657	C₂²	1	1	yes	characteristic
57	#16811657	C₂²	1	1	yes	characteristic
58	#16811657	C₂²	1	1	yes	characteristic
59	#16811657	C₂²	1	1	yes	characteristic, complemented
60	#16811656	C₂²	1	1	yes	characteristic
61	#16811656	C₂²	1	1	yes	characteristic
62	#16811656	C₂²	1	1	yes	characteristic
63	#16811656	C₂²	1	1	yes	characteristic
64	#16811656	C₂²	1	1	yes	characteristic, complemented
65	#16811656	C₂²	1	1	yes	characteristic, complemented
66	#16811655	C₂²	1	1	yes	characteristic
67	#16811655	C₂²	1	1	yes	characteristic
68	#16811655	C₂²	1	1	yes	characteristic
69	#16811655	C₂²	1	1	yes	characteristic
70	#16811655	C₂²	1	1	yes	characteristic, complemented
71	#16811655	C₂²	1	1	yes	characteristic, complemented
72	#16811654	C₂²	1	1	yes	characteristic, complemented
73	#16811654	C₂²	1	1	yes	characteristic, complemented
74	#16811653	C₂²	1	1	yes	characteristic
75	#16811653	C₂²	1	1	yes	characteristic
76	#16811653	C₂²	1	1	yes	characteristic
77	#16811653	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, complemented
83	#16811653	C₂²	1	1	yes	characteristic, complemented
84	#16811652	C₂²	1	1	yes	characteristic
85	#16811652	C₂²	1	1	yes	characteristic
86	#16811652	C₂²	1	1	yes	characteristic
87	#16811652	C₂²	1	1	yes	characteristic
88	#16811652	C₂²	1	1	yes	characteristic, complemented
89	#16811652	C₂²	1	1	yes	characteristic, complemented
90	#16811651	C₂²	1	1	yes	characteristic
91	#16811651	C₂²	1	1	yes	characteristic
92	#16811651	C₂²	1	1	yes	characteristic
93	#16811651	C₂²	1	1	yes	characteristic
94	#16811651	C₂²	1	1	yes	characteristic, complemented
95	#16811650	C₂²	1	1	yes	characteristic
96	#16811650	C₂²	1	1	yes	characteristic
97	#16811650	C₂²	1	1	yes	characteristic
98	#16811650	C₂²	1	1	yes	characteristic
99	#16811650	C₂²	1	1	yes	characteristic, complemented
100	#16811650	C₂²	1	1	yes	characteristic, complemented
101	D₄×#88324	C₂²	1	1	yes	characteristic, complemented
102	#16811648	C₂²	1	1	yes	characteristic
103	#16811648	C₂²	1	1	yes	characteristic
104	#16811648	C₂²	1	1	yes	characteristic
105	#16811648	C₂²	1	1	yes	characteristic
106	#16811648	C₂²	1	1	yes	characteristic
107	#16811648	C₂²	1	1	yes	characteristic
108	#16811648	C₂²	1	1	yes	characteristic
109	#16811648	C₂²	1	1	yes	characteristic
110	#16811648	C₂²	1	1	yes	characteristic, complemented
111	#16811648	C₂²	1	1	yes	characteristic, complemented
112	#16811648	C₂²	1	1	yes	characteristic, complemented
113	#16811648	C₂²	1	1	yes	characteristic, complemented
114	#16811647	C₂²	1	1	yes	characteristic, complemented
115	#16811647	C₂²	1	1	yes	characteristic, complemented
116	#16811647	C₂²	1	1	yes	characteristic, complemented
117	#16811647	C₂²	1	1	yes	characteristic, complemented
118	#16811646	C₂²	1	1	yes	characteristic, complemented
119	#16811645	C₂²	1	1	yes	characteristic, complemented
120	#16811644	C₂²	1	1	yes	characteristic, complemented
121	#16811643	C₂²	1	1	yes	characteristic, complemented
122	#16811642	C₂²	1	1	yes	characteristic, complemented
123	#16811641	C₂²	1	1	yes	characteristic, complemented
124	#16811640	C₂²	1	1	yes	characteristic, complemented
125	#16811639	C₂²	1	1	yes	characteristic, complemented
126	#16811630	C₂²	1	1	yes	characteristic
127	#16811630	C₂²	1	1	yes	characteristic
128	#16811630	C₂²	1	1	yes	characteristic
129	#16811630	C₂²	1	1	yes	characteristic
130	#16811630	C₂²	1	1	yes	characteristic
131	#16811630	C₂²	1	1	yes	characteristic
132	#16811630	C₂²	1	1	yes	characteristic
133	#16811630	C₂²	1	1	yes	characteristic
134	#16811630	C₂²	1	1	yes	characteristic, complemented
135	#16811630	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
139	#16811629	C₂²	1	1	yes	characteristic
140	#16811629	C₂²	1	1	yes	characteristic
141	#16811629	C₂²	1	1	yes	characteristic
142	#16811629	C₂²	1	1	yes	characteristic, complemented
143	#16811629	C₂²	1	1	yes	characteristic, complemented
144	#16811629	C₂²	1	1	yes	characteristic, complemented
145	#16811629	C₂²	1	1	yes	characteristic, complemented
146	#16811628	C₂²	1	1	yes	characteristic, complemented
147	#16811627	C₂²	1	1	yes	characteristic, complemented
148	#16811626	C₂²	1	1	yes	characteristic
149	#16811626	C₂²	1	1	yes	characteristic
150	#16811626	C₂²	1	1	yes	characteristic, complemented
151	#16811626	C₂²	1	1	yes	characteristic, complemented
152	C₂×#13133284	C₂²	1	1	yes	characteristic
153	C₂×#13133284	C₂²	1	1	yes	characteristic
154	C₂×#13133284	C₂²	1	1	yes	characteristic, complemented
155	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
156	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄⋊#88324	C₂²	1	1	yes	characteristic
158	C₂×C₄⋊#88324	C₂²	1	1	yes	characteristic
159	C₂×C₄⋊#88324	C₂²	1	1	yes	characteristic, complemented
160	#16811596	C₂²	1	1	yes	characteristic
161	#16811596	C₂²	1	1	yes	characteristic
162	#16811596	C₂²	1	1	yes	characteristic
163	#16811596	C₂²	1	1	yes	characteristic
164	#16811595	C₂²	1	1	yes	characteristic
165	#16811595	C₂²	1	1	yes	characteristic
166	#16811587	C₂²	1	1	yes	characteristic
167	#16811587	C₂²	1	1	yes	characteristic
168	#16811587	C₂²	1	1	yes	characteristic
169	#16811587	C₂²	1	1	yes	characteristic
170	C₄×#11719940	C₂²	1	1	yes	characteristic
171	C₄×#11719940	C₂²	1	1	yes	characteristic
172	#16811243	C₄	1	1	yes	characteristic
173	#16811243	C₄	1	1	yes	characteristic
174	#16811239	C₄	1	1	yes	characteristic
175	#16811239	C₄	1	1	yes	characteristic
176	#16811232	C₄	1	1	yes	characteristic
177	#16811232	C₄	1	1	yes	characteristic
178	#16811225	C₄	1	1	yes	characteristic
179	#16811225	C₄	1	1	yes	characteristic
180	#16811220	C₄	1	1	yes	characteristic
181	#16811217	C₄	1	1	yes	characteristic
182	#16811217	C₄	1	1	yes	characteristic
183	#16811213	C₄	1	1	yes	characteristic
184	#16811210	C₄	1	1	yes	characteristic
185	#16811206	C₄	1	1	yes	characteristic
186	#16811206	C₄	1	1	yes	characteristic
187	#16811175	C₂²	1	1	yes	characteristic
188	#16811168	C₂²	1	1	yes	characteristic
189	#16811159	C₂²	1	1	yes	characteristic
190	#16811159	C₂²	1	1	yes	characteristic
191	#16811158	C₂²	1	1	yes	characteristic
192	#16811158	C₂²	1	1	yes	characteristic
193	#16811156	C₂²	1	1	yes	characteristic
194	#16811156	C₂²	1	1	yes	characteristic
195	#16811150	C₂²	1	1	yes	characteristic
196	#16811150	C₂²	1	1	yes	characteristic
197	#16811131	C₂²	1	1	yes	characteristic
198	#16811131	C₂²	1	1	yes	characteristic
199	C₄×#11719947	C₂²	1	1	yes	characteristic
200	C₄×#11719947	C₂²	1	1	yes	characteristic
201	C₂×#13133175	C₂²	1	1	yes	characteristic
202	C₅₃×#539	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×#11719940	C₂³	1	1	yes	characteristic
217	C₂×#11719940	C₂³	1	1	yes	characteristic
218	C₂×#11719940	C₂³	1	1	yes	characteristic
219	C₂×#11719940	C₂³	1	1	yes	characteristic
220	C₂×#11719940	C₂³	1	1	yes	characteristic
221	C₂×#11719940	C₂³	1	1	yes	characteristic
222	C₂×#11719940	C₂³	1	1	yes	characteristic
223	C₂×#11719940	C₂³	1	1	yes	characteristic
224	C₂×D₅₃⋊C₈	—	4	2	no	—
225	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
226	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
228	C₂×D₅₃⋊C₈	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	C₂²×#88324	C₂³	1	1	yes	characteristic
234	C₂²×#88324	C₂³	1	1	yes	characteristic
235	C₂²×#88324	C₂³	1	1	yes	characteristic
236	C₂²×#88324	C₂³	1	1	yes	characteristic
237	C₂²×#88324	C₂³	1	1	yes	characteristic
238	C₂²×#88324	C₂³	1	1	yes	characteristic
239	C₂²×#88324	C₂³	1	1	yes	characteristic
240	C₂²×#88324	C₂³	1	1	yes	characteristic
241	#13133284	C₂³	1	1	yes	characteristic
242	#13133284	C₂³	1	1	yes	characteristic
243	#13133284	C₂³	1	1	yes	characteristic
244	#13133284	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	C₄⋊#88324	C₂³	1	1	yes	characteristic
270	C₄⋊#88324	C₂³	1	1	yes	characteristic
271	C₄⋊#88324	C₂³	1	1	yes	characteristic
272	C₄⋊#88324	C₂³	1	1	yes	characteristic
273	C₄⋊#88324	C₂³	1	1	yes	characteristic
274	C₄⋊#88324	C₂³	1	1	yes	characteristic
275	C₄⋊#88324	C₂³	1	1	yes	characteristic
276	C₄⋊#88324	C₂³	1	1	yes	characteristic
277	C₄⋊#88324	C₂³	1	1	yes	characteristic
278	C₄⋊#88324	C₂³	1	1	yes	characteristic
279	C₄⋊#88324	C₂³	1	1	yes	characteristic
280	C₄⋊#88324	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	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×#11719947	C₂³	1	1	yes	characteristic
330	C₂×#11719947	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
332	#13133216	C₂×C₄	1	1	yes	characteristic
333	#13133216	C₂×C₄	1	1	yes	characteristic
334	#13133215	C₂×C₄	1	1	yes	characteristic
335	#13133213	C₂×C₄	1	1	yes	characteristic
336	#13133212	C₂×C₄	1	1	yes	characteristic
337	#13133212	C₂×C₄	1	1	yes	characteristic
338	#13133212	C₂×C₄	1	1	yes	characteristic
339	#13133212	C₂×C₄	1	1	yes	characteristic
340	#13133212	C₂×C₄	1	1	yes	characteristic
341	#13133212	C₂×C₄	1	1	yes	characteristic
342	#13133212	C₂×C₄	1	1	yes	characteristic
343	#13133212	C₂×C₄	1	1	yes	characteristic
344	#13133212	C₂×C₄	1	1	yes	characteristic
345	#13133212	C₂×C₄	1	1	yes	characteristic
346	#13133211	C₂×C₄	1	1	yes	characteristic
347	#13133211	C₂×C₄	1	1	yes	characteristic
348	#13133210	C₂×C₄	1	1	yes	characteristic
349	#13133210	C₂×C₄	1	1	yes	characteristic
350	#13133208	C₂×C₄	1	1	yes	characteristic
351	#13133208	C₂×C₄	1	1	yes	characteristic
352	#13133207	C₂×C₄	1	1	yes	characteristic
353	#13133207	C₂×C₄	1	1	yes	characteristic
354	#13133207	C₂×C₄	1	1	yes	characteristic
355	#13133207	C₂×C₄	1	1	yes	characteristic
356	#13133207	C₂×C₄	1	1	yes	characteristic
357	#13133207	C₂×C₄	1	1	yes	characteristic
358	#13133206	C₂×C₄	1	1	yes	characteristic
359	#13133206	C₂×C₄	1	1	yes	characteristic
360	#13133205	C₂×C₄	1	1	yes	characteristic
361	#13133205	C₂×C₄	1	1	yes	characteristic
362	#13133203	C₂×C₄	1	1	yes	characteristic
363	#13133203	C₂×C₄	1	1	yes	characteristic
364	#13133203	C₂×C₄	1	1	yes	characteristic
365	#13133203	C₂×C₄	1	1	yes	characteristic
366	#13133203	C₂×C₄	1	1	yes	characteristic
367	#13133203	C₂×C₄	1	1	yes	characteristic
368	#13133202	C₂×C₄	1	1	yes	characteristic
369	#13133202	C₂×C₄	1	1	yes	characteristic
370	#13133202	C₂×C₄	1	1	yes	characteristic
371	#13133202	C₂×C₄	1	1	yes	characteristic
372	#13133202	C₂×C₄	1	1	yes	characteristic
373	#13133202	C₂×C₄	1	1	yes	characteristic
374	#13133201	C₂×C₄	1	1	yes	characteristic
375	#13133201	C₂×C₄	1	1	yes	characteristic
376	#13133201	C₂×C₄	1	1	yes	characteristic
377	#13133201	C₂×C₄	1	1	yes	characteristic
378	#13133200	C₂×C₄	1	1	yes	characteristic
379	#13133200	C₂×C₄	1	1	yes	characteristic
380	#13133200	C₂×C₄	1	1	yes	characteristic
381	#13133200	C₂×C₄	1	1	yes	characteristic
382	#13133199	C₂×C₄	1	1	yes	characteristic
383	#13133199	C₂×C₄	1	1	yes	characteristic
384	#13133197	C₂×C₄	1	1	yes	characteristic
385	#13133197	C₂×C₄	1	1	yes	characteristic
386	#13133196	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	#13133195	C₂×C₄	1	1	yes	characteristic
393	#13133194	C₂×C₄	1	1	yes	characteristic
394	#13133194	C₂×C₄	1	1	yes	characteristic
395	#13133194	C₂×C₄	1	1	yes	characteristic
396	#13133194	C₂×C₄	1	1	yes	characteristic
397	#13133192	C₂×C₄	1	1	yes	characteristic
398	#13133192	C₂×C₄	1	1	yes	characteristic
399	#13133191	C₂×C₄	1	1	yes	characteristic
400	#13133191	C₂×C₄	1	1	yes	characteristic
401	#13133191	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	#13133189	C₂×C₄	1	1	yes	characteristic
409	#13133189	C₂×C₄	1	1	yes	characteristic
410	#13133189	C₂×C₄	1	1	yes	characteristic
411	#13133189	C₂×C₄	1	1	yes	characteristic
412	#13133187	C₂×C₄	1	1	yes	characteristic
413	#13133187	C₂×C₄	1	1	yes	characteristic
414	#13133185	C₂×C₄	1	1	yes	characteristic
415	#13133185	C₂×C₄	1	1	yes	characteristic
416	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
418	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
419	#13133182	C₂×C₄	1	1	yes	characteristic
420	#13133182	C₂×C₄	1	1	yes	characteristic
421	#13133182	C₂³	1	1	yes	characteristic
422	#13133182	C₂³	1	1	yes	characteristic
423	#13133182	C₂³	1	1	yes	characteristic
424	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
425	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
426	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
427	#13133179	C₂³	1	1	yes	characteristic
428	#13133179	C₂³	1	1	yes	characteristic
429	#13133179	C₂³	1	1	yes	characteristic
430	#13133179	C₂³	1	1	yes	characteristic
431	#13133179	C₂³	1	1	yes	characteristic
432	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
434	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
435	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
436	#13133177	C₂×C₄	1	1	yes	characteristic
437	#13133177	C₂×C₄	1	1	yes	characteristic
438	#13133177	C₂×C₄	1	1	yes	characteristic
439	#13133177	C₂×C₄	1	1	yes	characteristic
440	#13133177	C₂³	1	1	yes	characteristic
441	#13133177	C₂³	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	#13133175	C₂×C₄	1	1	yes	characteristic
447	#13133175	C₂×C₄	1	1	yes	characteristic
448	#13133175	C₂×C₄	1	1	yes	characteristic
449	#13133175	C₂×C₄	1	1	yes	characteristic
450	#13133175	C₂³	1	1	yes	characteristic
451	#13133175	C₂³	1	1	yes	characteristic
452	#13133175	C₂³	1	1	yes	characteristic
453	#13133175	C₂³	1	1	yes	characteristic
454	#13133175	C₂³	1	1	yes	characteristic
455	#13133175	C₂³	1	1	yes	characteristic
456	#13133173	C₂³	1	1	yes	characteristic
457	#13133173	C₂³	1	1	yes	characteristic
458	#13133173	C₂³	1	1	yes	characteristic
459	#13133173	C₂³	1	1	yes	characteristic
460	C₂×C₄⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic
461	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
462	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
463	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
470	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
471	#125×C₅₃	C₂×C₄	1	1	yes	characteristic
472	#125×C₅₃	C₂×C₄	1	1	yes	characteristic
473	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
474	#123×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×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
482	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
483	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
484	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×C₄×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	C₂×C₂²⋊D₅₃	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	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
510	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
511	#11719947	—	2	2	no	—
512	#11719947	—	2	2	no	—
513	#11719947	—	2	2	no	—
514	#11719947	—	2	2	no	—
515	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
516	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
517	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
518	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
519	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₄×D₅₃	—	2	2	no	—
521	C₂×C₄×D₅₃	—	2	2	no	—
522	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
530	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
532	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
533	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
534	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
535	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
536	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
537	#11719940	—	2	2	no	—
538	#11719940	—	2	2	no	—
539	#11719940	—	2	2	no	—
540	#11719940	—	2	2	no	—
541	#11719940	—	4	1	no	—
542	#11719940	—	4	1	no	—
543	#11719940	—	4	1	no	—
544	#11719940	—	4	1	no	—
545	C₂×#88324	—	2	2	no	—
546	C₂×#88324	—	2	2	no	—
547	C₂×#88324	—	2	2	no	—
548	C₂×#88324	—	2	2	no	—
549	C₂×#88324	—	4	1	no	—
550	C₂×#88324	—	4	1	no	—
551	C₂×#88324	—	4	1	no	—
552	C₂×#88324	—	4	1	no	—
553	C₂×#88324	C₂⁴	1	1	yes	characteristic
554	C₂×#88324	C₂⁴	1	1	yes	characteristic
555	C₂×#88324	C₂⁴	1	1	yes	characteristic
556	C₂×#88324	C₂⁴	1	1	yes	characteristic
557	C₂×#88324	C₂⁴	1	1	yes	characteristic
558	C₂×#88324	C₂⁴	1	1	yes	characteristic
559	C₂×#88324	C₂⁴	1	1	yes	characteristic
560	C₂×#88324	C₂⁴	1	1	yes	characteristic
561	C₂×#88324	C₂⁴	1	1	yes	characteristic
562	C₂×#88324	C₂⁴	1	1	yes	characteristic
563	C₂×#88324	C₂⁴	1	1	yes	characteristic
564	C₂×#88324	C₂⁴	1	1	yes	characteristic
565	C₂×#88324	C₂⁴	1	1	yes	characteristic
566	C₂×#88324	C₂⁴	1	1	yes	characteristic
567	C₂×#88324	C₂⁴	1	1	yes	characteristic
568	C₂×#88324	C₂⁴	1	1	yes	characteristic
569	#11719936	—	4	1	no	—
570	#11719936	—	4	1	no	—
571	#11719936	—	4	1	no	—
572	#11719936	—	4	1	no	—
573	#11719936	—	4	1	no	—
574	#11719936	—	4	1	no	—
575	#11719936	—	4	1	no	—
576	#11719936	—	4	1	no	—
577	D₅₃⋊C₈	—	4	1	no	—
578	D₅₃⋊C₈	—	4	1	no	—
579	D₅₃⋊C₈	—	4	1	no	—
580	D₅₃⋊C₈	—	4	1	no	—
581	D₅₃⋊C₈	—	4	1	no	—
582	D₅₃⋊C₈	—	4	1	no	—
583	D₅₃⋊C₈	—	4	1	no	—
584	D₅₃⋊C₈	—	4	1	no	—
585	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
586	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
589	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
590	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
598	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
604	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
606	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
617	#11719921	C₂²×C₄	1	1	yes	characteristic
618	#11719921	C₂²×C₄	1	1	yes	characteristic
619	#11719921	C₂²×C₄	1	1	yes	characteristic
620	#11719921	C₂²×C₄	1	1	yes	characteristic
621	#11719921	C₂²×C₄	1	1	yes	characteristic
622	#11719921	C₂²×C₄	1	1	yes	characteristic
623	#11719921	C₂²×C₄	1	1	yes	characteristic
624	#11719921	C₂²×C₄	1	1	yes	characteristic
625	#11719921	C₂²×C₄	1	1	yes	characteristic
626	#11719921	C₂²×C₄	1	1	yes	characteristic
627	#11719921	C₂²×C₄	1	1	yes	characteristic
628	#11719921	C₂²×C₄	1	1	yes	characteristic
629	#11719921	C₂²×C₄	1	1	yes	characteristic
630	#11719921	C₂²×C₄	1	1	yes	characteristic
631	#11719921	C₂²×C₄	1	1	yes	characteristic
632	#11719921	C₂²×C₄	1	1	yes	characteristic
633	#11719921	C₂²×C₄	1	1	yes	characteristic
634	#11719921	C₂²×C₄	1	1	yes	characteristic
635	#11719921	C₂²×C₄	1	1	yes	characteristic
636	#11719921	C₂²×C₄	1	1	yes	characteristic
637	#11719921	C₂²×C₄	1	1	yes	characteristic
638	#11719921	C₂²×C₄	1	1	yes	characteristic
639	#11719921	C₂²×C₄	1	1	yes	characteristic
640	#11719921	C₂²×C₄	1	1	yes	characteristic
641	#11719921	C₂²×C₄	1	1	yes	characteristic
642	#11719921	C₂²×C₄	1	1	yes	characteristic
643	#11719921	C₂²×C₄	1	1	yes	characteristic
644	#11719921	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
652	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
653	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
654	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
655	#11719919	C₂²×C₄	1	1	yes	characteristic
656	#11719919	C₂²×C₄	1	1	yes	characteristic
657	#11719919	C₂²×C₄	1	1	yes	characteristic
658	#11719919	C₂²×C₄	1	1	yes	characteristic
659	#11719919	C₂²×C₄	1	1	yes	characteristic
660	#11719919	C₂²×C₄	1	1	yes	characteristic
661	#11719919	C₂²×C₄	1	1	yes	characteristic
662	#11719919	C₂²×C₄	1	1	yes	characteristic
663	#11719919	C₂²×C₄	1	1	yes	characteristic
664	#11719919	C₂²×C₄	1	1	yes	characteristic
665	#11719919	C₂²×C₄	1	1	yes	characteristic
666	#11719919	C₂²×C₄	1	1	yes	characteristic
667	#11719919	C₂²×C₄	1	1	yes	characteristic
668	#11719919	C₂²×C₄	1	1	yes	characteristic
669	#11719919	C₂²×C₄	1	1	yes	characteristic
670	#11719919	C₂²×C₄	1	1	yes	characteristic
671	#11719919	C₂²×C₄	1	1	yes	characteristic
672	#11719919	C₂²×C₄	1	1	yes	characteristic
673	#11719919	C₂²×C₄	1	1	yes	characteristic
674	#11719919	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	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
693	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
694	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
695	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
696	C₂²×D₅₃	—	2	2	no	—
697	C₂²×D₅₃	—	4	1	no	—
698	C₂²×D₅₃	—	4	1	no	—
699	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
700	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
701	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
702	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
703	Q₈×C₅₃	—	4	1	no	—
704	D₄×C₅₃	—	2	2	no	—
705	D₄×C₅₃	—	2	2	no	—
706	D₄×C₅₃	—	4	1	no	—
707	C₂×C₄×C₅₃	—	2	2	no	—
708	C₂×C₄×C₅₃	—	4	1	no	—
709	C₂×C₄×C₅₃	—	4	1	no	—
710	C₂×C₄×C₅₃	—	4	1	no	—
711	C₂×C₄×C₅₃	—	4	1	no	—
712	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
713	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
714	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
715	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
724	C₂²⋊D₅₃	—	2	2	no	—
725	C₂²⋊D₅₃	—	2	2	no	—
726	C₂²⋊D₅₃	—	2	2	no	—
727	C₂²⋊D₅₃	—	2	2	no	—
728	C₂²⋊D₅₃	—	4	1	no	—
729	C₂²⋊D₅₃	—	4	1	no	—
730	C₂²⋊D₅₃	—	4	1	no	—
731	C₂²⋊D₅₃	—	4	1	no	—
732	C₂²⋊D₅₃	—	4	1	no	—
733	C₂²⋊D₅₃	—	4	1	no	—
734	C₂×Dic₅₃	—	2	1	no	—
735	C₂×Dic₅₃	—	2	1	no	—
736	C₂×Dic₅₃	—	2	1	no	—
737	C₂×Dic₅₃	—	2	1	no	—
738	C₂×Dic₅₃	—	4	1	no	—
739	C₂×Dic₅₃	—	4	1	no	—
740	C₂×Dic₅₃	—	4	1	no	—
741	C₂×Dic₅₃	—	4	1	no	—
742	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₅₃	H(5,𝔽₂)	1	2	yes	—
754	C₂×Dic₅₃	2₋¹⁺⁴	1	2	yes	—
755	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
756	D₂₁₂	—	4	1	no	—
757	D₂₁₂	—	4	1	no	—
758	D₂₁₂	—	4	1	no	—
759	D₂₁₂	—	4	1	no	—
760	D₂₁₂	—	4	1	no	—
761	C₄×D₅₃	—	2	2	no	—
762	C₄×D₅₃	—	2	2	no	—
763	C₄×D₅₃	—	2	1	no	—
764	C₄×D₅₃	—	2	1	no	—
765	C₄×D₅₃	—	2	1	no	—
766	C₄×D₅₃	—	2	1	no	—
767	C₄×D₅₃	—	2	1	no	—
768	C₄×D₅₃	—	2	1	no	—
769	C₄×D₅₃	—	2	1	no	—
770	C₄×D₅₃	—	2	1	no	—
771	C₄×D₅₃	—	4	1	no	—
772	C₄×D₅₃	—	4	1	no	—
773	C₄×D₅₃	—	4	1	no	—
774	C₄×D₅₃	—	4	1	no	—
775	Dic₁₀₆	—	2	2	no	—
776	Dic₁₀₆	—	2	2	no	—
777	Dic₁₀₆	—	4	1	no	—
778	Dic₁₀₆	—	4	1	no	—
779	Dic₁₀₆	—	4	1	no	—
780	#88324	—	2	1	no	—
781	#88324	—	2	1	no	—
782	#88324	—	2	1	no	—
783	#88324	—	2	1	no	—
784	#88324	—	2	1	no	—
785	#88324	—	2	1	no	—
786	#88324	—	2	1	no	—
787	#88324	—	2	1	no	—
788	#88324	—	2	1	no	—
789	#88324	—	2	1	no	—
790	#88324	—	2	1	no	—
791	#88324	—	2	1	no	—
792	#88324	—	2	1	no	—
793	#88324	—	2	1	no	—
794	#88324	—	2	1	no	—
795	#88324	—	2	1	no	—
796	#60267	—	53	1	no	maximal, Sylow
797	C₂²×C₅₃	—	2	1	no	—
798	C₂²×C₅₃	—	2	1	no	—
799	C₂²×C₅₃	—	2	1	no	—
800	C₂²×C₅₃	—	2	1	no	—
801	C₂²×C₅₃	—	2	1	no	—
802	C₂²×C₅₃	—	2	1	no	—
803	C₂²×C₅₃	—	2	1	no	—
804	C₂²×C₅₃	—	2	1	no	—
805	C₂²×C₅₃	#520	1	2	yes	—
806	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
807	C₂×D₅₃	—	2	1	no	—
808	C₂×D₅₃	—	2	1	no	—
809	C₂×D₅₃	—	2	1	no	—
810	C₂×D₅₃	—	2	1	no	—
811	C₂×D₅₃	—	2	1	no	—
812	C₂×D₅₃	—	2	1	no	—
813	C₂×D₅₃	—	2	1	no	—
814	C₂×D₅₃	—	2	1	no	—
815	C₂×D₅₃	—	2	1	no	—
816	C₂×D₅₃	—	2	1	no	—
817	C₂×D₅₃	—	2	1	no	—
818	C₂×D₅₃	—	2	1	no	—
819	C₂×D₅₃	—	4	4	no	—
820	C₄×C₅₃	—	2	1	no	—
821	C₄×C₅₃	—	2	1	no	—
822	C₄×C₅₃	—	2	1	no	—
823	C₄×C₅₃	—	2	1	no	—
824	C₄×C₅₃	—	2	1	no	—
825	C₄×C₅₃	—	2	1	no	—
826	C₄×C₅₃	—	2	1	no	—
827	C₄×C₅₃	—	2	1	no	—
828	C₄×C₅₃	—	2	1	no	—
829	C₄×C₅₃	—	2	1	no	—
830	C₄×C₅₃	—	2	1	no	—
831	C₄×C₅₃	—	2	1	no	—
832	Dic₅₃	—	2	1	no	—
833	Dic₅₃	—	2	1	no	—
834	Dic₅₃	—	2	1	no	—
835	Dic₅₃	—	2	1	no	—
836	Dic₅₃	—	2	1	no	—
837	Dic₅₃	—	2	1	no	—
838	Dic₅₃	—	2	1	no	—
839	Dic₅₃	—	2	1	no	—
840	Dic₅₃	—	2	1	no	—
841	Dic₅₃	—	2	1	no	—
842	Dic₅₃	#520	1	2	yes	—
843	Dic₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
844	Dic₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
845	#3455	—	53	1	no	—
846	#2995	—	53	1	no	—
847	#2995	—	53	1	no	—
848	#2995	—	53	1	no	—
849	#2995	—	53	1	no	—
850	#2994	—	53	1	no	—
851	#2994	—	53	1	no	—
852	#2994	—	53	1	no	—
853	#2994	—	53	1	no	—
854	#2993	—	53	1	no	—
855	#2993	—	53	1	no	—
856	#2993	—	53	1	no	—
857	#2993	—	53	1	no	—
858	#2992	—	53	1	no	—
859	#2992	—	53	1	no	—
860	#2992	—	53	1	no	—
861	#2992	—	53	1	no	—
862	#2962	—	53	1	no	—
863	#2962	—	53	1	no	—
864	#2935	—	53	1	no	—
865	#2935	—	53	1	no	—
866	#2930	—	53	1	no	—
867	#2930	—	53	1	no	—
868	#2929	—	53	1	no	—
869	#2929	—	53	1	no	—
870	#2925	—	53	1	no	—
871	#2925	—	53	1	no	—
872	#2921	—	53	1	no	—
873	#2906	—	53	1	no	—
874	#2906	—	53	1	no	—
875	C₂×#424	—	53	1	no	—
876	C₂×C₅₃	—	2	2	no	—
877	C₂×C₅₃	—	4	1	no	—
878	C₂×C₅₃	—	4	1	no	—
879	C₂×C₅₃	C₂×#520	1	1	yes	characteristic
880	C₂×C₅₃	#3573	1	1	yes	characteristic
881	C₂×C₅₃	#3573	1	1	yes	characteristic
882	D₅₃	—	4	1	no	—
883	D₅₃	—	4	1	no	—
884	D₅₃	—	4	1	no	—
885	D₅₃	—	4	1	no	—
886	C₂×#131	—	53	1	no	—
887	C₂×#131	—	53	1	no	—
888	C₂×#131	—	53	1	no	—
889	C₂×#131	—	53	1	no	—
890	C₂²×M₁₆	—	53	1	no	—
891	C₂³×C₈	—	53	1	no	—
892	#542	—	53	1	no	—
893	#542	—	53	1	no	—
894	#542	—	53	1	no	—
895	#542	—	53	1	no	—
896	#541	—	53	1	no	—
897	#541	—	53	1	no	—
898	#540	—	53	1	no	—
899	#540	—	53	1	no	—
900	#539	—	53	1	no	—
901	#539	—	53	1	no	—
902	#539	—	53	1	no	—
903	#539	#6157	1	1	yes	characteristic
904	#538	—	53	1	no	—
905	#538	—	53	1	no	—
906	#538	—	53	1	no	—
907	#538	—	53	1	no	—
908	#533	—	53	1	no	—
909	#532	—	53	1	no	—
910	#529	—	53	1	no	—
911	#529	—	53	1	no	—
912	#529	—	53	1	no	—
913	#529	—	53	1	no	—
914	#529	—	53	1	no	—
915	#529	—	53	1	no	—
916	#529	—	53	1	no	—
917	#529	—	53	1	no	—
918	#525	—	53	1	no	—
919	#525	—	53	1	no	—
920	C₄×#41	—	53	1	no	—
921	C₄×#41	—	53	1	no	—
922	C₂×#117	—	53	1	no	—
923	#446	—	53	1	no	—
924	#446	—	53	1	no	—
925	#446	—	53	1	no	—
926	#446	—	53	1	no	—
927	#446	—	53	1	no	—
928	#446	—	53	1	no	—
929	#446	—	53	1	no	—
930	#446	—	53	1	no	—
931	#446	—	53	1	no	—
932	#446	—	53	1	no	—
933	#446	—	53	1	no	—
934	#446	—	53	1	no	—
935	C₈×Q₈	—	53	1	no	—
936	C₈×Q₈	—	53	1	no	—
937	C₈×Q₈	—	53	1	no	—
938	C₈×Q₈	—	53	1	no	—
939	#436	—	53	1	no	—
940	#436	—	53	1	no	—
941	#436	—	53	1	no	—
942	#436	—	53	1	no	—
943	#436	—	53	1	no	—
944	#436	—	53	1	no	—
945	#436	—	53	1	no	—
946	#436	—	53	1	no	—
947	#436	—	53	1	no	—
948	#436	—	53	1	no	—
949	#436	—	53	1	no	—
950	#436	—	53	1	no	—
951	#435	—	53	1	no	—
952	#435	—	53	1	no	—
953	#435	—	53	1	no	—
954	#435	—	53	1	no	—
955	#435	—	53	1	no	—
956	#435	—	53	1	no	—
957	#435	—	53	1	no	—
958	#435	—	53	1	no	—
959	#435	—	53	1	no	—
960	#435	—	53	1	no	—
961	#435	—	53	1	no	—
962	#435	—	53	1	no	—
963	#435	—	53	1	no	—
964	#435	—	53	1	no	—
965	#435	—	53	1	no	—
966	#435	—	53	1	no	—
967	#435	—	53	1	no	—
968	#435	—	53	1	no	—
969	#435	—	53	1	no	—
970	#435	—	53	1	no	—
971	#435	—	53	1	no	—
972	#435	—	53	1	no	—
973	#435	—	53	1	no	—
974	#435	—	53	1	no	—
975	C₈×D₄	—	53	1	no	—
976	C₈×D₄	—	53	1	no	—
977	C₈×D₄	—	53	1	no	—
978	C₈×D₄	—	53	1	no	—
979	C₈×D₄	—	53	1	no	—
980	C₈×D₄	—	53	1	no	—
981	C₈×D₄	—	53	1	no	—
982	C₈×D₄	—	53	1	no	—
983	C₈×D₄	—	53	1	no	—
984	C₈×D₄	—	53	1	no	—
985	C₈×D₄	—	53	1	no	—
986	C₈×D₄	—	53	1	no	—
987	#433	—	53	1	no	—
988	#433	—	53	1	no	—
989	#433	—	53	1	no	—
990	#433	—	53	1	no	—
991	#433	—	53	1	no	—
992	#433	—	53	1	no	—
993	#433	—	53	1	no	—
994	#433	—	53	1	no	—
995	#433	—	53	1	no	—
996	#433	—	53	1	no	—
997	#433	—	53	1	no	—
998	#433	—	53	1	no	—
999	#433	—	53	1	no	—
1000	#433	—	53	1	no	—
1001	#433	—	53	1	no	—
1002	#433	—	53	1	no	—
1003	#432	—	53	1	no	—
1004	#432	—	53	1	no	—
1005	#432	—	53	1	no	—
1006	#432	—	53	1	no	—
1007	#431	—	53	1	no	—
1008	#431	—	53	1	no	—
1009	#431	—	53	1	no	—
1010	#431	—	53	1	no	—
1011	#424	—	53	1	no	—
1012	#424	—	53	1	no	—
1013	#424	—	53	1	no	—
1014	#424	—	53	1	no	—
1015	#424	—	53	1	no	—
1016	#424	—	53	1	no	—
1017	#424	—	53	1	no	—
1018	#424	—	53	1	no	—
1019	#424	—	53	1	no	—
1020	#424	—	53	1	no	—
1021	#424	—	53	1	no	—
1022	#424	—	53	1	no	—
1023	#424	—	53	1	no	—
1024	#424	—	53	1	no	—
1025	#424	—	53	1	no	—
1026	#424	—	53	1	no	—
1027	#424	—	53	1	no	—
1028	#424	—	53	1	no	—
1029	#424	—	53	1	no	—
1030	#424	—	53	1	no	—
1031	#423	—	53	1	no	—
1032	#423	—	53	1	no	—
1033	#423	—	53	1	no	—
1034	#423	—	53	1	no	—
1035	#423	—	53	1	no	—
1036	#423	—	53	1	no	—
1037	C₂×C₄⋊C₈	—	53	1	no	—
1038	C₂×C₄⋊C₈	—	53	1	no	—
1039	C₂×C₄⋊C₈	—	53	1	no	—
1040	C₂×C₄⋊C₈	—	53	1	no	—
1041	C₂×C₄⋊C₈	—	53	1	no	—
1042	C₂×C₄⋊C₈	—	53	1	no	—
1043	C₂×C₄⋊C₈	—	53	1	no	—
1044	C₂×C₄⋊C₈	—	53	1	no	—
1045	#408	—	53	1	no	—
1046	#408	—	53	1	no	—
1047	#408	—	53	1	no	—
1048	#408	—	53	1	no	—
1049	#407	—	53	1	no	—
1050	#407	—	53	1	no	—
1051	#405	—	53	1	no	—
1052	#405	—	53	1	no	—
1053	#405	—	53	1	no	—
1054	#405	—	53	1	no	—
1055	C₄×M₁₆	—	53	1	no	—
1056	C₄×M₁₆	—	53	1	no	—
1057	C₅₃	#60267	1	1	yes	characteristic, complemented, Sylow
1058	C₂×#41	—	53	1	no	—
1059	C₂×#41	—	53	1	no	—
1060	C₂³×C₄	—	53	1	no	—
1061	#131	—	212	2	no	—
1062	#131	—	212	2	no	—
1063	#131	—	212	2	no	—
1064	#131	—	212	2	no	—
1065	C₂×M₁₆	—	53	1	no	—
1066	C₂×M₁₆	—	53	1	no	—
1067	C₂×M₁₆	—	53	1	no	—
1068	C₂×M₁₆	—	53	1	no	—
1069	C₂×M₁₆	—	53	1	no	—
1070	C₂×M₁₆	—	53	1	no	—
1071	C₂×M₁₆	—	53	1	no	—
1072	C₂×M₁₆	—	53	1	no	—
1073	C₂×M₁₆	—	53	1	no	—
1074	C₂×M₁₆	—	53	1	no	—
1075	C₂×M₁₆	—	53	1	no	—
1076	C₂×M₁₆	—	53	1	no	—
1077	C₂×M₁₆	—	53	1	no	—
1078	C₂×M₁₆	—	53	1	no	—
1079	C₂×M₁₆	—	53	1	no	—
1080	C₂×M₁₆	—	53	1	no	—
1081	C₂×M₁₆	—	212	2	no	—
1082	C₂²×C₈	—	53	1	no	—
1083	C₂²×C₈	—	53	1	no	—
1084	C₂²×C₈	—	53	1	no	—
1085	C₂²×C₈	—	53	1	no	—
1086	C₂²×C₈	—	53	1	no	—
1087	C₂²×C₈	—	53	1	no	—
1088	C₂²×C₈	—	53	1	no	—
1089	C₂²×C₈	—	53	1	no	—
1090	C₂²×C₈	—	53	1	no	—
1091	C₂²×C₈	—	53	1	no	—
1092	C₂²×C₈	—	53	1	no	—
1093	C₂²×C₈	—	53	1	no	—
1094	C₂²×C₈	—	53	1	no	—
1095	C₂²×C₈	—	53	1	no	—
1096	C₂²×C₈	—	53	1	no	—
1097	C₂²×C₈	—	53	1	no	—
1098	C₂²×C₈	—	212	2	no	—
1099	C₄⋊Q₈	—	53	1	no	—
1100	C₄⋊Q₈	—	53	1	no	—
1101	C₄⋊Q₈	—	53	1	no	—
1102	#127	—	53	1	no	—
1103	#126	—	53	1	no	—
1104	#126	—	53	1	no	—
1105	#126	—	53	1	no	—
1106	#126	—	53	1	no	—
1107	#126	—	53	1	no	—
1108	#126	—	53	1	no	—
1109	#126	—	53	1	no	—
1110	#126	—	53	1	no	—
1111	#126	—	53	1	no	—
1112	#126	—	53	1	no	—
1113	#126	—	53	1	no	—
1114	#126	—	53	1	no	—
1115	#126	—	53	1	no	—
1116	#126	—	53	1	no	—
1117	#126	C₂×#6157	1	1	yes	characteristic
1118	#126	C₂×#6157	1	1	yes	characteristic
1119	#125	—	53	1	no	—
1120	#125	—	53	1	no	—
1121	#125	—	53	1	no	—
1122	#125	—	53	1	no	—
1123	#125	—	53	1	no	—
1124	#125	—	53	1	no	—
1125	#125	—	53	1	no	—
1126	#125	—	53	1	no	—
1127	#125	C₂×#6157	1	1	yes	characteristic
1128	#125	C₂×#6157	1	1	yes	characteristic
1129	#124	—	53	1	no	—
1130	#124	—	53	1	no	—
1131	#124	—	53	1	no	—
1132	#124	—	53	1	no	—
1133	#124	—	53	1	no	—
1134	#124	—	53	1	no	—
1135	#124	—	53	1	no	—
1136	#124	—	53	1	no	—
1137	#124	—	53	1	no	—
1138	#124	—	53	1	no	—
1139	#123	—	53	1	no	—
1140	#123	—	53	1	no	—
1141	#123	—	53	1	no	—
1142	#123	—	53	1	no	—
1143	#123	—	53	1	no	—
1144	#123	—	53	1	no	—
1145	#123	—	53	1	no	—
1146	#123	—	53	1	no	—
1147	#123	—	53	1	no	—
1148	#123	—	53	1	no	—
1149	#123	—	53	1	no	—
1150	#123	—	53	1	no	—
1151	#123	—	53	1	no	—
1152	#123	—	53	1	no	—
1153	#123	—	53	1	no	—
1154	#123	—	53	1	no	—
1155	#123	C₂×#6157	1	1	yes	characteristic
1156	#123	C₂×#6157	1	1	yes	characteristic
1157	#123	C₂×#6157	1	1	yes	characteristic
1158	#123	C₂×#6157	1	1	yes	characteristic
1159	C₂²⋊Q₈	—	53	1	no	—
1160	C₂²⋊Q₈	—	53	1	no	—
1161	C₂²⋊Q₈	—	53	1	no	—
1162	C₂²⋊Q₈	—	53	1	no	—
1163	C₂²⋊Q₈	—	53	1	no	—
1164	C₂²⋊Q₈	—	53	1	no	—
1165	C₂²⋊Q₈	—	53	1	no	—
1166	C₂²⋊Q₈	—	53	1	no	—
1167	C₂²⋊Q₈	—	53	1	no	—
1168	C₂²⋊Q₈	—	53	1	no	—
1169	C₂²⋊Q₈	—	53	1	no	—
1170	C₂²⋊Q₈	—	53	1	no	—
1171	C₂²⋊Q₈	—	53	1	no	—
1172	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1173	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1174	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1175	#121	—	53	1	no	—
1176	#121	—	53	1	no	—
1177	#121	—	53	1	no	—
1178	#121	—	53	1	no	—
1179	#121	—	53	1	no	—
1180	#121	—	53	1	no	—
1181	#121	—	53	1	no	—
1182	#121	—	53	1	no	—
1183	#121	—	53	1	no	—
1184	#121	—	53	1	no	—
1185	#121	—	53	1	no	—
1186	#121	—	53	1	no	—
1187	#121	—	53	1	no	—
1188	#121	—	53	1	no	—
1189	#121	—	53	1	no	—
1190	#121	C₂×#6157	1	1	yes	characteristic
1191	#120	—	53	1	no	—
1192	#120	—	53	1	no	—
1193	#120	—	53	1	no	—
1194	#120	—	53	1	no	—
1195	C₄×Q₈	—	53	1	no	—
1196	C₄×Q₈	—	53	1	no	—
1197	C₄×Q₈	—	53	1	no	—
1198	C₄×Q₈	—	53	1	no	—
1199	C₄×Q₈	—	53	1	no	—
1200	C₄×Q₈	—	53	1	no	—
1201	C₄×Q₈	—	53	1	no	—
1202	C₄×Q₈	—	53	1	no	—
1203	C₄×D₄	—	53	1	no	—
1204	C₄×D₄	—	53	1	no	—
1205	C₄×D₄	—	53	1	no	—
1206	C₄×D₄	—	53	1	no	—
1207	C₄×D₄	—	53	1	no	—
1208	C₄×D₄	—	53	1	no	—
1209	C₄×D₄	—	53	1	no	—
1210	C₄×D₄	—	53	1	no	—
1211	C₄×D₄	—	53	1	no	—
1212	C₄×D₄	—	53	1	no	—
1213	C₄×D₄	—	53	1	no	—
1214	C₄×D₄	—	53	1	no	—
1215	C₄×D₄	—	53	1	no	—
1216	C₄×D₄	—	53	1	no	—
1217	C₄×D₄	—	53	1	no	—
1218	C₄×D₄	—	53	1	no	—
1219	C₄×D₄	—	53	1	no	—
1220	C₄×D₄	—	53	1	no	—
1221	C₄×D₄	—	53	1	no	—
1222	C₄×D₄	—	53	1	no	—
1223	C₄×D₄	—	53	1	no	—
1224	C₄×D₄	—	53	1	no	—
1225	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1226	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1227	#117	—	53	1	no	—
1228	#117	—	53	1	no	—
1229	#117	—	53	1	no	—
1230	#117	—	53	1	no	—
1231	#117	—	53	1	no	—
1232	#117	—	53	1	no	—
1233	#117	—	53	1	no	—
1234	#117	—	53	1	no	—
1235	#117	—	53	1	no	—
1236	#117	—	53	1	no	—
1237	#117	—	53	1	no	—
1238	#117	—	53	1	no	—
1239	#117	—	53	1	no	—
1240	#117	—	53	1	no	—
1241	C₂×C₄⋊C₄	—	53	1	no	—
1242	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic
1243	C₂×C₂²⋊C₄	—	53	1	no	—
1244	C₂×C₂²⋊C₄	—	53	1	no	—
1245	C₂×C₄²	—	53	1	no	—
1246	C₂×C₄²	—	53	1	no	—
1247	C₂×C₄²	—	53	1	no	—
1248	C₂×C₄²	—	53	1	no	—
1249	C₂×C₄²	—	53	1	no	—
1250	C₂×C₄²	—	53	1	no	—
1251	C₄⋊C₈	—	53	1	no	—
1252	C₄⋊C₈	—	53	1	no	—
1253	C₄⋊C₈	—	53	1	no	—
1254	C₄⋊C₈	—	53	1	no	—
1255	C₄⋊C₈	—	53	1	no	—
1256	C₄⋊C₈	—	53	1	no	—
1257	C₄⋊C₈	—	53	1	no	—
1258	C₄⋊C₈	—	53	1	no	—
1259	C₄⋊C₈	—	53	1	no	—
1260	C₄⋊C₈	—	53	1	no	—
1261	C₄⋊C₈	—	53	1	no	—
1262	C₄⋊C₈	—	53	1	no	—
1263	C₄⋊C₈	—	53	1	no	—
1264	C₄⋊C₈	—	53	1	no	—
1265	C₄⋊C₈	—	53	1	no	—
1266	C₄⋊C₈	—	53	1	no	—
1267	C₄⋊C₈	—	53	1	no	—
1268	C₄⋊C₈	—	53	1	no	—
1269	C₄⋊C₈	—	53	1	no	—
1270	C₄⋊C₈	—	53	1	no	—
1271	C₄⋊C₈	—	53	1	no	—
1272	C₄⋊C₈	—	53	1	no	—
1273	C₄⋊C₈	—	53	1	no	—
1274	C₄⋊C₈	—	53	1	no	—
1275	C₄⋊C₈	—	53	1	no	—
1276	C₄⋊C₈	—	53	1	no	—
1277	C₄⋊C₈	—	53	1	no	—
1278	C₄⋊C₈	—	53	1	no	—
1279	C₄⋊C₈	—	53	1	no	—
1280	C₄⋊C₈	—	53	1	no	—
1281	C₄⋊C₈	—	53	1	no	—
1282	C₄⋊C₈	—	53	1	no	—
1283	C₄⋊C₈	—	53	1	no	—
1284	C₄⋊C₈	—	53	1	no	—
1285	C₄⋊C₈	—	53	1	no	—
1286	C₄⋊C₈	—	53	1	no	—
1287	C₄⋊C₈	—	53	1	no	—
1288	C₄⋊C₈	—	53	1	no	—
1289	C₄⋊C₈	—	53	1	no	—
1290	C₄⋊C₈	—	53	1	no	—
1291	C₂²⋊C₈	—	53	1	no	—
1292	C₂²⋊C₈	—	53	1	no	—
1293	C₂²⋊C₈	—	53	1	no	—
1294	C₂²⋊C₈	—	53	1	no	—
1295	C₂²⋊C₈	—	53	1	no	—
1296	C₂²⋊C₈	—	53	1	no	—
1297	C₂²⋊C₈	—	53	1	no	—
1298	C₂²⋊C₈	—	53	1	no	—
1299	C₂²⋊C₈	—	53	1	no	—
1300	C₂²⋊C₈	—	53	1	no	—
1301	C₂²⋊C₈	—	53	1	no	—
1302	C₂²⋊C₈	—	53	1	no	—
1303	C₂²⋊C₈	—	53	1	no	—
1304	C₂²⋊C₈	—	53	1	no	—
1305	C₂²⋊C₈	—	53	1	no	—
1306	C₂²⋊C₈	—	53	1	no	—
1307	C₂²⋊C₈	—	53	1	no	—
1308	C₂²⋊C₈	—	53	1	no	—
1309	C₂²⋊C₈	—	53	1	no	—
1310	C₂²⋊C₈	—	53	1	no	—
1311	C₂²⋊C₈	—	53	1	no	—
1312	C₂²⋊C₈	—	53	1	no	—
1313	C₂²⋊C₈	—	53	1	no	—
1314	C₂²⋊C₈	—	53	1	no	—
1315	#97	—	53	1	no	—
1316	#97	—	53	1	no	—
1317	#97	—	53	1	no	—
1318	#97	—	53	1	no	—
1319	#97	—	53	1	no	—
1320	#97	—	53	1	no	—
1321	#97	—	53	1	no	—
1322	#97	—	53	1	no	—
1323	#97	—	53	1	no	—
1324	#97	—	53	1	no	—
1325	#97	—	53	1	no	—
1326	#97	—	53	1	no	—
1327	C₄×C₈	—	53	1	no	—
1328	C₄×C₈	—	53	1	no	—
1329	C₄×C₈	—	53	1	no	—
1330	C₄×C₈	—	53	1	no	—
1331	C₄×C₈	—	53	1	no	—
1332	C₄×C₈	—	53	1	no	—
1333	C₄×C₈	—	53	1	no	—
1334	C₄×C₈	—	53	1	no	—
1335	C₄×C₈	—	53	1	no	—
1336	C₄×C₈	—	53	1	no	—
1337	C₄×C₈	—	53	1	no	—
1338	C₄×C₈	—	53	1	no	—
1339	C₂⁴	—	53	1	no	—
1340	#41	—	106	2	no	—
1341	#41	—	106	2	no	—
1342	#41	—	106	2	no	—
1343	#41	—	106	2	no	—
1344	C₂×Q₈	—	53	1	no	—
1345	C₂×Q₈	—	53	1	no	—
1346	C₂×Q₈	—	53	1	no	—
1347	C₂×Q₈	—	53	1	no	—
1348	C₂×Q₈	—	53	1	no	—
1349	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1350	C₂×D₄	—	53	1	no	—
1351	C₂×D₄	—	53	1	no	—
1352	C₂×D₄	—	53	1	no	—
1353	C₂×D₄	—	53	1	no	—
1354	C₂×D₄	—	53	1	no	—
1355	C₂×D₄	—	53	1	no	—
1356	C₂×D₄	—	53	1	no	—
1357	C₂×D₄	—	53	1	no	—
1358	C₂×D₄	—	53	1	no	—
1359	C₂×D₄	—	53	1	no	—
1360	C₂×D₄	—	53	1	no	—
1361	C₂×D₄	—	53	1	no	—
1362	C₂×D₄	—	53	1	no	—
1363	C₂×D₄	—	53	1	no	—
1364	C₂×D₄	—	53	1	no	—
1365	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1366	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1367	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1368	C₂²×C₄	—	53	1	no	—
1369	C₂²×C₄	—	53	1	no	—
1370	C₂²×C₄	—	53	1	no	—
1371	C₂²×C₄	—	53	1	no	—
1372	C₂²×C₄	—	53	1	no	—
1373	C₂²×C₄	—	53	1	no	—
1374	C₂²×C₄	—	53	1	no	—
1375	C₂²×C₄	—	53	1	no	—
1376	C₂²×C₄	—	53	1	no	—
1377	C₂²×C₄	—	53	1	no	—
1378	C₂²×C₄	—	53	1	no	—
1379	C₂²×C₄	—	53	1	no	—
1380	C₂²×C₄	—	53	1	no	—
1381	C₂²×C₄	—	53	1	no	—
1382	C₂²×C₄	—	53	1	no	—
1383	C₂²×C₄	—	53	1	no	—
1384	C₂²×C₄	—	53	1	no	—
1385	C₂²×C₄	—	106	2	no	—
1386	C₂²×C₄	—	106	2	no	—
1387	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1388	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1389	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1390	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1391	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1392	M₁₆	—	106	2	no	—
1393	M₁₆	—	106	2	no	—
1394	M₁₆	—	106	2	no	—
1395	M₁₆	—	106	2	no	—
1396	M₁₆	—	212	1	no	—
1397	M₁₆	—	212	1	no	—
1398	M₁₆	—	212	1	no	—
1399	M₁₆	—	212	1	no	—
1400	M₁₆	—	212	1	no	—
1401	M₁₆	—	212	1	no	—
1402	M₁₆	—	212	1	no	—
1403	M₁₆	—	212	1	no	—
1404	M₁₆	—	212	1	no	—
1405	M₁₆	—	212	1	no	—
1406	M₁₆	—	212	1	no	—
1407	M₁₆	—	212	1	no	—
1408	C₂×C₈	—	53	1	no	—
1409	C₂×C₈	—	53	1	no	—
1410	C₂×C₈	—	53	1	no	—
1411	C₂×C₈	—	53	1	no	—
1412	C₂×C₈	—	53	1	no	—
1413	C₂×C₈	—	53	1	no	—
1414	C₂×C₈	—	53	1	no	—
1415	C₂×C₈	—	53	1	no	—
1416	C₂×C₈	—	53	1	no	—
1417	C₂×C₈	—	53	1	no	—
1418	C₂×C₈	—	53	1	no	—
1419	C₂×C₈	—	53	1	no	—
1420	C₂×C₈	—	53	1	no	—
1421	C₂×C₈	—	53	1	no	—
1422	C₂×C₈	—	53	1	no	—
1423	C₂×C₈	—	53	1	no	—
1424	C₂×C₈	—	106	2	no	—
1425	C₂×C₈	—	106	2	no	—
1426	C₂×C₈	—	106	2	no	—
1427	C₂×C₈	—	106	2	no	—
1428	C₂×C₈	—	212	1	no	—
1429	C₂×C₈	—	212	1	no	—
1430	C₂×C₈	—	212	1	no	—
1431	C₂×C₈	—	212	1	no	—
1432	C₂×C₈	—	212	1	no	—
1433	C₂×C₈	—	212	1	no	—
1434	C₂×C₈	—	212	1	no	—
1435	C₂×C₈	—	212	1	no	—
1436	C₂×C₈	—	212	1	no	—
1437	C₂×C₈	—	212	1	no	—
1438	C₂×C₈	—	212	1	no	—
1439	C₂×C₈	—	212	1	no	—
1440	C₄⋊C₄	—	53	1	no	—
1441	C₄⋊C₄	—	53	1	no	—
1442	C₄⋊C₄	—	53	1	no	—
1443	C₄⋊C₄	—	53	1	no	—
1444	C₄⋊C₄	—	53	1	no	—
1445	C₄⋊C₄	—	53	1	no	—
1446	C₄⋊C₄	—	53	1	no	—
1447	C₄⋊C₄	—	53	1	no	—
1448	C₄⋊C₄	—	53	1	no	—
1449	C₄⋊C₄	—	53	1	no	—
1450	C₄⋊C₄	—	53	1	no	—
1451	C₄⋊C₄	—	53	1	no	—
1452	C₄⋊C₄	—	53	1	no	—
1453	C₄⋊C₄	—	53	1	no	—
1454	C₄⋊C₄	—	53	1	no	—
1455	C₄⋊C₄	—	53	1	no	—
1456	C₄⋊C₄	—	53	1	no	—
1457	C₄⋊C₄	—	53	1	no	—
1458	C₄⋊C₄	—	53	1	no	—
1459	C₄⋊C₄	—	53	1	no	—
1460	C₄⋊C₄	—	53	1	no	—
1461	C₄⋊C₄	—	53	1	no	—
1462	C₄⋊C₄	—	53	1	no	—
1463	C₄⋊C₄	—	53	1	no	—
1464	C₄⋊C₄	—	53	1	no	—
1465	C₄⋊C₄	—	53	1	no	—
1466	C₄⋊C₄	—	53	1	no	—
1467	C₄⋊C₄	—	53	1	no	—
1468	C₄⋊C₄	—	53	1	no	—
1469	C₄⋊C₄	—	53	1	no	—
1470	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1471	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1472	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1473	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1474	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1475	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1476	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1477	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1478	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1479	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1480	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1481	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1482	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1483	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1484	C₂²⋊C₄	—	53	1	no	—
1485	C₂²⋊C₄	—	53	1	no	—
1486	C₂²⋊C₄	—	53	1	no	—
1487	C₂²⋊C₄	—	53	1	no	—
1488	C₂²⋊C₄	—	53	1	no	—
1489	C₂²⋊C₄	—	53	1	no	—
1490	C₂²⋊C₄	—	53	1	no	—
1491	C₂²⋊C₄	—	53	1	no	—
1492	C₂²⋊C₄	—	53	1	no	—
1493	C₂²⋊C₄	—	53	1	no	—
1494	C₂²⋊C₄	—	53	1	no	—
1495	C₂²⋊C₄	—	53	1	no	—
1496	C₂²⋊C₄	—	53	1	no	—
1497	C₂²⋊C₄	—	53	1	no	—
1498	C₂²⋊C₄	—	53	1	no	—
1499	C₂²⋊C₄	—	53	1	no	—
1500	C₂²⋊C₄	—	53	1	no	—
1501	C₂²⋊C₄	—	53	1	no	—
1502	C₂²⋊C₄	—	53	1	no	—
1503	C₂²⋊C₄	—	53	1	no	—
1504	C₂²⋊C₄	—	53	1	no	—
1505	C₂²⋊C₄	—	53	1	no	—
1506	C₂²⋊C₄	—	53	1	no	—
1507	C₂²⋊C₄	—	53	1	no	—
1508	C₂²⋊C₄	—	53	1	no	—
1509	C₂²⋊C₄	—	53	1	no	—
1510	C₂²⋊C₄	—	53	1	no	—
1511	C₂²⋊C₄	—	53	1	no	—
1512	C₂²⋊C₄	—	53	1	no	—
1513	C₂²⋊C₄	—	53	1	no	—
1514	C₂²⋊C₄	—	53	1	no	—
1515	C₂²⋊C₄	—	53	1	no	—
1516	C₂²⋊C₄	—	53	1	no	—
1517	C₂²⋊C₄	—	53	1	no	—
1518	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1527	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1528	C₄²	—	53	1	no	—
1529	C₄²	—	53	1	no	—
1530	C₄²	—	53	1	no	—
1531	C₄²	—	53	1	no	—
1532	C₄²	—	53	1	no	—
1533	C₄²	—	53	1	no	—
1534	C₄²	—	53	1	no	—
1535	C₄²	—	53	1	no	—
1536	C₄²	—	53	1	no	—
1537	C₄²	—	53	1	no	—
1538	C₄²	—	53	1	no	—
1539	C₄²	—	53	1	no	—
1540	C₄²	—	53	1	no	—
1541	C₄²	—	53	1	no	—
1542	C₄²	—	53	1	no	—
1543	C₄²	—	53	1	no	—
1544	C₄²	—	53	1	no	—
1545	C₄²	—	53	1	no	—
1546	C₄²	C₂²×#6157	1	1	yes	characteristic
1547	C₄²	C₂²×#6157	1	1	yes	characteristic
1548	C₂³	—	53	1	no	—
1549	C₂³	—	53	1	no	—
1550	C₂³	—	53	1	no	—
1551	C₂³	—	53	1	no	—
1552	C₂³	—	106	2	no	—
1553	C₂³	—	212	1	no	—
1554	C₂³	—	212	1	no	—
1555	C₂³	C₂³×#6157	1	1	yes	characteristic
1556	C₂³	C₂³×#6157	1	1	yes	characteristic
1557	C₂³	C₂³×#6157	1	1	yes	characteristic
1558	Q₈	—	4	1	no	—
1559	Q₈	—	106	2	no	—
1560	Q₈	—	106	2	no	—
1561	Q₈	—	212	1	no	—
1562	Q₈	—	212	1	no	—
1563	Q₈	—	212	1	no	—
1564	D₄	—	2	2	no	—
1565	D₄	—	2	2	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	106	2	no	—
1568	D₄	—	106	2	no	—
1569	D₄	—	106	2	no	—
1570	D₄	—	106	2	no	—
1571	D₄	—	212	1	no	—
1572	D₄	—	212	1	no	—
1573	D₄	—	212	1	no	—
1574	D₄	—	212	1	no	—
1575	D₄	—	212	1	no	—
1576	D₄	—	212	1	no	—
1577	D₄	—	212	1	no	—
1578	D₄	—	212	1	no	—
1579	D₄	—	212	1	no	—
1580	D₄	—	212	1	no	—
1581	D₄	—	212	1	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	4	1	no	—
1584	C₂×C₄	—	4	1	no	—
1585	C₂×C₄	—	4	1	no	—
1586	C₂×C₄	—	4	1	no	—
1587	C₂×C₄	—	53	2	no	—
1588	C₂×C₄	—	53	2	no	—
1589	C₂×C₄	—	53	1	no	—
1590	C₂×C₄	—	53	1	no	—
1591	C₂×C₄	—	53	1	no	—
1592	C₂×C₄	—	53	1	no	—
1593	C₂×C₄	—	53	1	no	—
1594	C₂×C₄	—	53	1	no	—
1595	C₂×C₄	—	53	1	no	—
1596	C₂×C₄	—	53	1	no	—
1597	C₂×C₄	—	53	1	no	—
1598	C₂×C₄	—	53	1	no	—
1599	C₂×C₄	—	53	1	no	—
1600	C₂×C₄	—	53	1	no	—
1601	C₂×C₄	—	106	1	no	—
1602	C₂×C₄	—	106	1	no	—
1603	C₂×C₄	—	106	1	no	—
1604	C₂×C₄	—	106	1	no	—
1605	C₂×C₄	—	106	1	no	—
1606	C₂×C₄	—	106	1	no	—
1607	C₂×C₄	—	106	2	no	—
1608	C₂×C₄	—	106	2	no	—
1609	C₂×C₄	—	106	1	no	—
1610	C₂×C₄	—	106	1	no	—
1611	C₂×C₄	—	106	1	no	—
1612	C₂×C₄	—	106	1	no	—
1613	C₂×C₄	—	106	1	no	—
1614	C₂×C₄	—	106	1	no	—
1615	C₂×C₄	—	212	1	no	—
1616	C₂×C₄	—	212	1	no	—
1617	C₂×C₄	—	212	1	no	—
1618	C₂×C₄	—	212	1	no	—
1619	C₂×C₄	—	212	1	no	—
1620	C₂×C₄	—	212	1	no	—
1621	C₂×C₄	—	212	1	no	—
1622	C₂×C₄	—	212	1	no	—
1623	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1624	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1625	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1626	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1627	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1628	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1629	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1630	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1631	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1632	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1633	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1634	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1635	C₈	—	106	1	no	—
1636	C₈	—	106	1	no	—
1637	C₈	—	106	1	no	—
1638	C₈	—	106	1	no	—
1639	C₈	—	106	1	no	—
1640	C₈	—	106	1	no	—
1641	C₈	—	106	1	no	—
1642	C₈	—	106	1	no	—
1643	C₈	—	106	1	no	—
1644	C₈	—	106	1	no	—
1645	C₈	—	106	1	no	—
1646	C₈	—	106	1	no	—
1647	C₈	—	106	1	no	—
1648	C₈	—	106	1	no	—
1649	C₈	—	106	1	no	—
1650	C₈	—	106	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	106	1	no	—
1660	C₂²	—	106	1	no	—
1661	C₂²	—	106	1	no	—
1662	C₂²	—	106	1	no	—
1663	C₂²	—	106	1	no	—
1664	C₂²	—	106	1	no	—
1665	C₂²	—	106	1	no	—
1666	C₂²	—	106	1	no	—
1667	C₂²	—	106	1	no	—
1668	C₂²	—	106	1	no	—
1669	C₂²	—	106	1	no	—
1670	C₂²	—	106	1	no	—
1671	C₂²	—	212	4	no	—
1672	C₂²	#16811692	1	2	yes	—
1673	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	53	1	no	—
1687	C₄	—	53	1	no	—
1688	C₄	—	53	2	no	—
1689	C₄	—	106	1	no	—
1690	C₄	—	106	1	no	—
1691	C₄	—	106	1	no	—
1692	C₄	—	106	1	no	—
1693	C₄	—	106	1	no	—
1694	C₄	—	106	1	no	—
1695	C₄	—	106	1	no	—
1696	C₄	—	106	1	no	—
1697	C₄	—	106	1	no	—
1698	C₄	—	106	1	no	—
1699	C₂	—	2	2	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	212	1	no	—
1703	C₂	—	212	1	no	—
1704	C₂	—	212	1	no	—
1705	C₂	—	212	1	no	—
1706	C₂	C₂×#16811692	1	1	yes	characteristic
1707	C₂	#20291710	1	1	yes	characteristic
1708	C₂	#20291711	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#539	C₄
prime radical	#20288101	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#539	#6157
hypocenter	C₅₃	#60267
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. #20291673	C₂	semidirect
2. #20291672	C₂	semidirect
3. #20291670	C₂	semidirect
4. #20291669	C₂	semidirect
5. #20291667	C₂	semidirect
6. #20291666	C₂	semidirect
7. #20291664	C₂	semidirect
8. #20291663	C₂	semidirect
9. #20291661	C₂	semidirect
10. #20291660	C₂	semidirect
11. #20291659	C₂	semidirect
12. #20291656	C₂	semidirect
13. #20291655	C₂	semidirect
14. #20291654	C₂	semidirect
15. #20291653	C₂	semidirect
16. #20291650	C₂	semidirect
17. #20291512	C₂	semidirect
18. #20291510	C₂	semidirect
19. #20291459	C₂	semidirect
20. #20291457	C₂	semidirect
21. #20291436	C₂	semidirect
22. #20291436	C₂	semidirect
23. #20291432	C₂	semidirect
24. #20291432	C₂	semidirect
25. #20291413	C₂	semidirect
26. #20291410	C₂	semidirect
27. #20291397	C₂	semidirect
28. #20291362	C₂	semidirect
29. #20291360	C₂	semidirect
30. C₂×#16811630	C₂	semidirect
38. #16811675	C₂²	semidirect
39. #16811675	C₂²	semidirect
40. #16811675	C₂²	semidirect
41. #16811675	C₂²	semidirect
42. #16811675	C₂²	semidirect
43. #16811675	C₂²	semidirect
44. #16811674	C₂²	semidirect
45. #16811674	C₂²	semidirect
46. #16811674	C₂²	semidirect
47. #16811673	C₂²	semidirect
48. #16811673	C₂²	semidirect
49. #16811673	C₂²	semidirect
50. #16811672	C₂²	semidirect
51. #16811672	C₂²	semidirect
52. #16811672	C₂²	semidirect
53. Q₈×#88324	C₂²	semidirect
54. #16811658	C₂²	semidirect
59. #16811657	C₂²	semidirect
64. #16811656	C₂²	semidirect
65. #16811656	C₂²	semidirect
70. #16811655	C₂²	semidirect
71. #16811655	C₂²	semidirect
72. #16811654	C₂²	semidirect
73. #16811654	C₂²	semidirect
82. #16811653	C₂²	semidirect
83. #16811653	C₂²	semidirect
88. #16811652	C₂²	semidirect
89. #16811652	C₂²	semidirect
94. #16811651	C₂²	semidirect
99. #16811650	C₂²	semidirect
100. #16811650	C₂²	semidirect
101. D₄×#88324	C₂²	semidirect
110. #16811648	C₂²	semidirect
111. #16811648	C₂²	semidirect
112. #16811648	C₂²	semidirect
113. #16811648	C₂²	semidirect
114. #16811647	C₂²	semidirect
115. #16811647	C₂²	semidirect
116. #16811647	C₂²	semidirect
117. #16811647	C₂²	semidirect
118. #16811646	C₂²	semidirect
119. #16811645	C₂²	semidirect
120. #16811644	C₂²	semidirect
121. #16811643	C₂²	semidirect
122. #16811642	C₂²	semidirect
123. #16811641	C₂²	semidirect
124. #16811640	C₂²	semidirect
125. #16811639	C₂²	semidirect
134. #16811630	C₂²	semidirect
135. #16811630	C₂²	semidirect
136. #16811630	C₂²	semidirect
137. #16811630	C₂²	semidirect
142. #16811629	C₂²	semidirect
143. #16811629	C₂²	semidirect
144. #16811629	C₂²	semidirect
145. #16811629	C₂²	semidirect
146. #16811628	C₂²	semidirect
147. #16811627	C₂²	semidirect
150. #16811626	C₂²	semidirect
151. #16811626	C₂²	semidirect
154. C₂×#13133284	C₂²	semidirect
155. D₅₃⋊(C₄⋊C₈)	C₂²	semidirect
156. D₅₃⋊(C₄⋊C₈)	C₂²	semidirect
159. C₂×C₄⋊#88324	C₂²	semidirect
1057. C₅₃	#60267	semidirect

Maximal subgroups

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

subgroup	index
#20291673	2
#20291672	2
#20291670	2
#20291669	2
#20291667	2
#20291666	2
#20291664	2
#20291663	2
#20291661	2
#20291660	2
#20291659	2
#20291656	2
#20291655	2
#20291654	2
#20291653	2
#20291650	2
#20291512	2
#20291510	2
#20291459	2
#20291457	2
#20291436	2
#20291432	2
#20291413	2
#20291410	2
#20291397	2
#20291362	2
#20291360	2
C₂×#16811630	2
#20288101	2
#60267	53