Subgroups — #16770592

Order 3328.

7280 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129416	C₂	1	4	yes	maximal, complemented
2	#13129401	C₂	1	2	yes	maximal, complemented
3	#13129382	C₂	1	4	yes	maximal, complemented
4	#13129367	C₂	1	2	yes	maximal, complemented
5	#13129359	C₂	1	2	yes	maximal, complemented
6	#13129352	C₂	1	2	yes	maximal, complemented
7	#13129307	C₂	1	2	yes	maximal, complemented
8	#13129273	C₂	1	2	yes	maximal, complemented
9	#13129208	C₂	1	2	yes	maximal, complemented
10	#13129166	C₂	1	2	yes	maximal, complemented
11	#13129075	C₂	1	2	yes	maximal, complemented
12	#13129063	C₂	1	2	yes	maximal, complemented
13	#13129020	C₂	1	4	yes	maximal, complemented
14	#13128975	C₂	1	4	yes	maximal, complemented
15	#13128446	C₂	1	4	yes	maximal, complemented
16	#13128429	C₂	1	2	yes	maximal, complemented
17	#41×D₅₂	C₂	1	2	yes	maximal, complemented
18	#13128319	C₂	1	4	yes	maximal, complemented
19	#13128252	C₂	1	4	yes	maximal, complemented
20	#13128246	C₂	1	4	yes	maximal, complemented
21	#13128228	C₂	1	2	yes	maximal, complemented
22	#13128163	C₂	1	2	yes	maximal, complemented
23	C₂×#11719182	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#41×D₁₃	C₂²	1	4	yes	complemented
27	C₂²×#6127	C₂²	1	2	yes	complemented
28	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#529	C₂²	1	2	yes	complemented
35	C₁₃×#529	C₂²	1	2	yes	complemented
36	C₁₃×#529	C₂²	1	2	yes	complemented
37	C₁₃×#529	C₂²	1	2	yes	complemented
38	C₁₃×#529	C₂²	1	2	yes	complemented
39	C₁₃×#529	C₂²	1	2	yes	complemented
40	C₁₃×#525	C₂²	1	2	yes	complemented
41	C₁₃×#525	C₂²	1	2	yes	complemented
42	C₁₃×#525	C₂²	1	2	yes	complemented
43	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
44	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
45	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
46	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	#11719538	C₂²	1	4	yes	complemented
48	#11719537	C₂²	1	4	yes	complemented
49	#11719535	C₂²	1	4	yes	complemented
50	#11719534	C₂²	1	8	yes	complemented
51	C₂×#88184	C₂²	1	1	yes	characteristic
52	C₂×#88184	C₂²	1	2	yes	complemented
53	C₂×#88184	C₂²	1	2	yes	complemented
54	C₂×#88183	C₂²	1	2	yes	complemented
55	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
56	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
57	#11719438	C₂²	1	4	yes	complemented
58	#11719438	C₂²	1	4	yes	complemented
59	#11719429	C₂²	1	4	yes	complemented
60	#11719420	C₂²	1	4	yes	complemented
61	#11719417	C₂²	1	8	yes	complemented
62	#11719416	C₂²	1	8	yes	complemented
63	#11719412	C₂²	1	8	yes	complemented
64	#11719409	C₂²	1	8	yes	complemented
65	#11719405	C₂²	1	4	yes	complemented
66	#11719404	C₂²	1	4	yes	complemented
67	#11719403	C₂²	1	4	yes	complemented
68	#11719402	C₂²	1	4	yes	complemented
69	#11719397	C₂²	1	8	yes	complemented
70	#11719389	C₂²	1	4	yes	complemented
71	#11719388	C₂²	1	4	yes	complemented
72	#11719383	C₂²	1	8	yes	complemented
73	#11719380	C₂²	1	4	yes	complemented
74	#11719379	C₂²	1	4	yes	complemented
75	#11719372	C₂²	1	8	yes	complemented
76	#11719371	C₂²	1	8	yes	complemented
77	#11719370	C₂²	1	8	yes	complemented
78	#11719360	C₂²	1	8	yes	complemented
79	#11719359	C₂²	1	8	yes	complemented
80	#11719358	C₂²	1	8	yes	complemented
81	#11719352	C₂²	1	8	yes	complemented
82	#11719350	C₂²	1	4	yes	complemented
83	#11719350	C₂²	1	4	yes	complemented
84	#11719349	C₂²	1	4	yes	complemented
85	#11719349	C₂²	1	4	yes	complemented
86	#11719349	C₂²	1	4	yes	complemented
87	#11719339	C₂²	1	4	yes	complemented
88	#11719338	C₂²	1	4	yes	complemented
89	#11719337	C₂²	1	4	yes	complemented
90	#11719336	C₂²	1	4	yes	complemented
91	#11719335	C₂²	1	4	yes	complemented
92	#11719325	C₂²	1	8	yes	complemented
93	#11719322	C₂²	1	4	yes	complemented
94	#11719317	C₂²	1	4	yes	complemented
95	#11719314	C₂²	1	4	yes	complemented
96	#11719310	C₂²	1	4	yes	complemented
97	#11719310	C₂²	1	4	yes	complemented
98	#11719310	C₂²	1	4	yes	complemented
99	#11719304	C₂²	1	4	yes	complemented
100	#11719303	C₂²	1	4	yes	complemented
101	#11719302	C₂²	1	4	yes	complemented
102	#11719302	C₂²	1	4	yes	complemented
103	#11719296	C₂²	1	8	yes	complemented
104	#11719295	C₂²	1	8	yes	complemented
105	#11719290	C₂²	1	4	yes	complemented
106	#11719290	C₂²	1	2	yes	complemented
107	#11719287	C₂²	1	8	yes	complemented
108	#11719285	C₂²	1	8	yes	complemented
109	#11719285	C₂²	1	8	yes	complemented
110	#11719284	C₂²	1	4	yes	complemented
111	#11719282	C₂²	1	2	yes	complemented
112	#11719281	C₂²	1	4	yes	complemented
113	Q₈×D₅₂	C₂²	1	2	yes	complemented
114	#11719273	C₂²	1	4	yes	complemented
115	#11719272	C₂²	1	2	yes	complemented
116	#11719270	C₂²	1	4	yes	complemented
117	#11719270	C₂²	1	4	yes	complemented
118	#11719270	C₂²	1	4	yes	complemented
119	#11719267	C₂²	1	8	yes	complemented
120	#11719265	C₂²	1	8	yes	complemented
121	#11719265	C₂²	1	8	yes	complemented
122	#11719264	C₂²	1	4	yes	complemented
123	#11719260	C₂²	1	2	yes	complemented
124	#11719260	C₂²	1	4	yes	complemented
125	#11719259	C₂²	1	8	yes	complemented
126	#11719259	C₂²	1	4	yes	complemented
127	#11719258	C₂²	1	2	yes	complemented
128	#11719257	C₂²	1	4	yes	complemented
129	#11719255	C₂²	1	4	yes	complemented
130	#11719255	C₂²	1	4	yes	complemented
131	D₄×D₅₂	C₂²	1	4	yes	complemented
132	D₄×D₅₂	C₂²	1	4	yes	complemented
133	D₄×D₅₂	C₂²	1	2	yes	complemented
134	#11719253	C₂²	1	8	yes	complemented
135	#11719252	C₂²	1	8	yes	complemented
136	#11719252	C₂²	1	8	yes	complemented
137	#11719252	C₂²	1	8	yes	complemented
138	#11719252	C₂²	1	8	yes	complemented
139	C₄×D₄×D₁₃	C₂²	1	8	yes	complemented
140	#11719248	C₂²	1	4	yes	complemented
141	#11719247	C₂²	1	2	yes	complemented
142	#11719245	C₂²	1	8	yes	complemented
143	#11719240	C₂²	1	4	yes	complemented
144	#11719240	C₂²	1	4	yes	complemented
145	#11719239	C₂²	1	4	yes	complemented
146	#11719239	C₂²	1	4	yes	complemented
147	#11719235	C₂²	1	8	yes	complemented
148	#11719233	C₂²	1	8	yes	complemented
149	#11719232	C₂²	1	8	yes	complemented
150	#11719232	C₂²	1	8	yes	complemented
151	#11719230	C₂²	1	4	yes	complemented
152	#11719229	C₂²	1	8	yes	complemented
153	#11719229	C₂²	1	4	yes	complemented
154	#11719227	C₂²	1	4	yes	complemented
155	#11719224	C₂²	1	4	yes	complemented
156	#11719184	C₂²	1	2	yes	complemented
157	#11719184	C₂²	1	2	yes	complemented
158	#11719184	C₂²	1	2	yes	complemented
159	#11719184	C₂²	1	2	yes	complemented
160	#11719184	C₂²	1	4	yes	complemented
161	#11719184	C₂²	1	2	yes	complemented
162	#11719184	C₂²	1	2	yes	complemented
163	#11719184	C₂²	1	2	yes	complemented
164	#11719184	C₂²	1	2	yes	complemented
165	C₂×#88130	C₂²	1	2	yes	complemented
166	#11719182	C₂²	1	2	yes	complemented
167	#11719182	C₂²	1	2	yes	complemented
168	#11719182	C₂²	1	2	yes	complemented
169	#11719182	C₂²	1	4	yes	complemented
170	#11719182	C₂²	1	2	yes	complemented
171	#11719182	C₂²	1	2	yes	complemented
172	#11719182	C₂²	1	2	yes	complemented
173	#11719182	C₂²	1	2	yes	complemented
174	#11719182	C₂²	1	2	yes	complemented
175	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
176	C₂×#88129	C₂²	1	2	yes	complemented
177	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
178	C₄×#6127	C₂²	1	4	yes	complemented
179	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
180	C₂×C₄×D₅₂	C₂²	1	4	yes	complemented
181	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
183	C₂×#88126	C₂²	1	2	yes	complemented
184	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
185	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₁₃×#41	C₂³	1	2	yes	—
188	C₂×C₁₃×#41	C₂³	1	2	yes	—
189	C₂×C₁₃×#41	C₂³	1	2	yes	—
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
194	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
195	#41×D₁₃	—	4	16	no	—
196	C₂×#6131	C₂³	1	4	yes	—
197	C₂×Q₈×D₁₃	C₂³	1	4	yes	—
198	C₂×#6129	C₂³	1	8	yes	—
199	C₂×#6129	C₂³	1	4	yes	—
200	C₂×D₄×D₁₃	C₂³	1	8	yes	—
201	C₂×D₄×D₁₃	C₂³	1	8	yes	—
202	C₂×D₄×D₁₃	C₂³	1	4	yes	—
203	C₂×#6127	—	4	8	no	—
204	C₂×#6127	C₂³	1	4	yes	—
205	C₂×#6127	C₂³	1	4	yes	—
206	C₂×#6127	C₂³	1	4	yes	—
207	C₂×#6127	C₂³	1	4	yes	—
208	C₂×#6127	C₂³	1	4	yes	—
209	C₂×#6127	C₂³	1	8	yes	—
210	C₂²×D₅₂	C₂³	1	2	yes	—
211	C₂²×D₅₂	C₂³	1	2	yes	—
212	C₂²×D₅₂	C₂³	1	1	yes	characteristic
213	C₂²×D₅₂	C₂³	1	4	yes	—
214	C₂²×D₅₂	C₂³	1	2	yes	—
215	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
216	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
217	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
218	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
219	C₂²×Dic₂₆	C₂³	1	2	yes	—
220	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×#127	C₂³	1	1	yes	characteristic
224	C₁₃×#126	C₂³	1	4	yes	—
225	C₁₃×#126	C₂³	1	4	yes	—
226	C₁₃×#125	C₂³	1	2	yes	—
227	C₁₃×#125	C₂³	1	2	yes	—
228	C₁₃×#125	C₂³	1	2	yes	—
229	C₁₃×#124	C₂³	1	2	yes	—
230	C₁₃×#124	C₂³	1	2	yes	—
231	C₁₃×#124	C₂³	1	2	yes	—
232	C₁₃×#123	C₂³	1	4	yes	—
233	C₁₃×#123	C₂³	1	4	yes	—
234	C₁₃×#123	C₂³	1	4	yes	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
237	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	2	yes	—
244	C₁₃×#121	C₂³	1	2	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	2	yes	—
247	C₁₃×#120	C₂³	1	4	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
250	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
251	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
252	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
253	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	4	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	4	yes	—
257	C₄×D₄×C₁₃	C₂³	1	4	yes	—
258	C₄×D₄×C₁₃	C₂³	1	2	yes	—
259	C₄×D₄×C₁₃	C₂³	1	2	yes	—
260	C₄×D₄×C₁₃	C₂³	1	4	yes	—
261	C₄×D₄×C₁₃	C₂³	1	4	yes	—
262	C₄×D₄×C₁₃	C₂³	1	2	yes	—
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	4	yes	—
266	C₁₃×#117	C₂³	1	4	yes	—
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₁₃×#117	C₂³	1	4	yes	—
269	C₁₃×#117	C₂³	1	2	yes	—
270	C₁₃×#117	C₂³	1	4	yes	—
271	C₁₃×#117	C₂³	1	2	yes	—
272	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
279	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
286	#88201	C₂³	1	4	yes	—
287	#88201	C₂³	1	8	yes	—
288	#88201	C₂³	1	8	yes	—
289	#88200	C₂³	1	8	yes	—
290	#88200	C₂³	1	8	yes	—
291	#88198	C₂³	1	4	yes	—
292	#88194	C₂³	1	8	yes	—
293	#88194	C₂³	1	4	yes	—
294	#88193	C₂³	1	8	yes	—
295	#88193	C₂³	1	8	yes	—
296	#88193	C₂³	1	8	yes	—
297	#88193	C₂³	1	8	yes	—
298	#88193	C₂³	1	8	yes	—
299	#88193	C₂³	1	8	yes	—
300	#88192	C₂³	1	8	yes	—
301	#88191	C₂³	1	8	yes	—
302	#88191	C₂³	1	8	yes	—
303	#88191	C₂³	1	8	yes	—
304	#88191	C₂³	1	8	yes	—
305	#88190	C₂³	1	4	yes	—
306	D₄×Dic₁₃	C₂³	1	8	yes	—
307	#88184	C₂³	1	4	yes	—
308	#88184	C₂³	1	4	yes	—
309	#88184	C₂³	1	4	yes	—
310	#88184	C₂³	1	4	yes	—
311	#88184	C₂³	1	4	yes	—
312	#88184	C₂³	1	4	yes	—
313	#88184	C₂³	1	4	yes	—
314	#88184	C₂³	1	4	yes	—
315	#88184	C₂³	1	8	yes	—
316	#88184	C₂³	1	4	yes	—
317	#88184	C₂³	1	4	yes	—
318	#88184	C₂³	1	2	yes	—
319	#88184	C₂³	1	2	yes	—
320	#88184	C₂³	1	2	yes	—
321	#88184	C₂³	1	2	yes	—
322	#88184	C₂³	1	4	yes	—
323	#88183	C₂³	1	4	yes	—
324	#88183	C₂³	1	4	yes	—
325	#88183	C₂³	1	4	yes	—
326	#88183	C₂³	1	4	yes	—
327	#88183	C₂³	1	8	yes	—
328	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
329	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
330	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
331	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
332	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
333	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
334	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
335	C₂×#6103	C₂³	1	2	yes	—
336	C₂×#6103	C₂³	1	2	yes	—
337	C₂×#6103	C₂³	1	4	yes	—
338	C₂×#6103	C₂³	1	4	yes	—
339	C₂×#6103	C₂³	1	2	yes	—
340	C₂×#6103	C₂³	1	8	yes	—
341	C₂×#6103	C₂³	1	2	yes	—
342	#88180	C₂³	1	4	yes	—
343	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
345	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
346	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	—
348	#88178	C₂³	1	2	yes	—
349	#88178	C₂³	1	2	yes	—
350	#88178	C₂³	1	2	yes	—
351	#88178	C₂³	1	2	yes	—
352	#88178	C₂³	1	4	yes	—
353	C₂×#6101	C₂³	1	2	yes	—
354	C₂×#6101	C₂³	1	2	yes	—
355	C₂×#6101	C₂³	1	2	yes	—
356	C₂×#6101	C₂³	1	2	yes	—
357	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
358	#88152	C₂³	1	8	yes	—
359	#88152	C₂³	1	8	yes	—
360	#88152	C₂³	1	8	yes	—
361	#88152	C₂³	1	8	yes	—
362	#88152	C₂³	1	8	yes	—
363	#88151	C₂³	1	4	yes	—
364	#88151	C₂³	1	4	yes	—
365	#88151	C₂³	1	8	yes	—
366	#88151	C₂³	1	8	yes	—
367	#88150	C₂³	1	8	yes	—
368	#88150	C₂³	1	8	yes	—
369	#88150	C₂³	1	8	yes	—
370	#88150	C₂³	1	8	yes	—
371	#88150	C₂³	1	8	yes	—
372	#88149	C₂³	1	4	yes	—
373	#88149	C₂³	1	4	yes	—
374	#88149	C₂³	1	8	yes	—
375	#88149	C₂³	1	8	yes	—
376	#88149	C₂³	1	8	yes	—
377	#88149	C₂³	1	8	yes	—
378	#88149	C₂³	1	8	yes	—
379	#88148	C₂³	1	8	yes	—
380	#88148	C₂³	1	8	yes	—
381	#88148	C₂³	1	8	yes	—
382	#88148	C₂³	1	8	yes	—
383	#88148	C₂³	1	8	yes	—
384	#88148	C₂³	1	8	yes	—
385	#88148	C₂³	1	8	yes	—
386	#88148	C₂³	1	8	yes	—
387	#88148	C₂³	1	8	yes	—
388	#88147	C₂³	1	4	yes	—
389	#88147	C₂³	1	4	yes	—
390	#88147	C₂³	1	8	yes	—
391	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
392	#88144	C₂³	1	8	yes	—
393	#88144	C₂³	1	8	yes	—
394	#88143	C₂³	1	8	yes	—
395	#88142	C₂³	1	8	yes	—
396	#88141	C₂³	1	4	yes	—
397	#88141	C₂³	1	4	yes	—
398	#88140	C₂³	1	8	yes	—
399	#88140	C₂³	1	8	yes	—
400	#88140	C₂³	1	8	yes	—
401	#88139	C₂³	1	8	yes	—
402	#88139	C₂³	1	8	yes	—
403	#88139	C₂³	1	8	yes	—
404	#88138	C₂³	1	8	yes	—
405	#88138	C₂³	1	8	yes	—
406	#88138	C₂³	1	8	yes	—
407	#88138	C₂³	1	8	yes	—
408	#88138	C₂³	1	8	yes	—
409	#88138	C₂³	1	8	yes	—
410	#88138	C₂³	1	8	yes	—
411	#88137	C₂³	1	8	yes	—
412	#88137	C₂³	1	8	yes	—
413	#88137	C₂³	1	8	yes	—
414	#88137	C₂³	1	8	yes	—
415	#88137	C₂³	1	8	yes	—
416	#88136	C₂³	1	8	yes	—
417	#88136	C₂³	1	8	yes	—
418	#88136	C₂³	1	8	yes	—
419	#88136	C₂³	1	8	yes	—
420	#88136	C₂³	1	8	yes	—
421	#88136	C₂³	1	8	yes	—
422	#88136	C₂³	1	8	yes	—
423	#88135	C₂³	1	8	yes	—
424	#88135	C₂³	1	8	yes	—
425	#88135	C₂³	1	8	yes	—
426	#88135	C₂³	1	8	yes	—
427	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
428	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
429	#88133	C₂³	1	8	yes	—
430	#88132	C₂³	1	8	yes	—
431	#88132	C₂³	1	8	yes	—
432	#88132	C₂³	1	8	yes	—
433	#88132	C₂³	1	8	yes	—
434	#88130	C₂³	1	4	yes	—
435	#88130	C₂³	1	4	yes	—
436	#88130	C₂³	1	4	yes	—
437	#88130	C₂³	1	4	yes	—
438	#88130	C₂³	1	8	yes	—
439	#88129	C₂³	1	4	yes	—
440	#88129	C₂³	1	4	yes	—
441	#88129	C₂³	1	4	yes	—
442	#88129	C₂³	1	4	yes	—
443	#88129	C₂³	1	2	yes	—
444	#88129	C₂³	1	2	yes	—
445	#88129	C₂³	1	2	yes	—
446	#88129	C₂³	1	2	yes	—
447	#88129	C₂³	1	8	yes	—
448	#88129	C₂³	1	4	yes	—
449	#88128	C₂³	1	2	yes	—
450	#88128	C₂³	1	2	yes	—
451	#88128	C₂³	1	2	yes	—
452	#88128	C₂³	1	2	yes	—
453	#88128	C₂³	1	4	yes	—
454	C₄×D₅₂	C₂³	1	2	yes	—
455	C₄×D₅₂	C₂³	1	4	yes	—
456	C₄×D₅₂	C₂³	1	4	yes	—
457	C₄×D₅₂	C₂³	1	4	yes	—
458	C₄×D₅₂	C₂³	1	4	yes	—
459	C₄×D₅₂	C₂³	1	4	yes	—
460	C₄×D₅₂	C₂³	1	4	yes	—
461	C₄×D₅₂	C₂³	1	4	yes	—
462	C₄×D₅₂	C₂³	1	4	yes	—
463	C₄×D₅₂	C₂³	1	2	yes	—
464	C₄×D₅₂	C₂³	1	2	yes	—
465	C₄×D₅₂	C₂³	1	2	yes	—
466	C₄×D₅₂	C₂³	1	8	yes	—
467	C₄×D₅₂	C₂³	1	8	yes	—
468	C₄×D₅₂	C₂³	1	4	yes	—
469	C₄×D₅₂	C₂³	1	4	yes	—
470	C₄×D₅₂	C₂³	1	4	yes	—
471	C₄×D₅₂	C₂³	1	8	yes	—
472	#88126	C₂³	1	4	yes	—
473	#88126	C₂³	1	4	yes	—
474	#88126	C₂³	1	4	yes	—
475	#88126	C₂³	1	4	yes	—
476	#88126	C₂³	1	8	yes	—
477	#88126	C₂³	1	8	yes	—
478	C₄²×D₁₃	C₂³	1	8	yes	—
479	#88124	C₂³	1	2	yes	—
480	#88124	C₂³	1	2	yes	—
481	#88124	C₂³	1	2	yes	—
482	#88124	C₂³	1	2	yes	—
483	#88124	C₂³	1	4	yes	—
484	#88123	C₂³	1	2	yes	—
485	#88123	C₂³	1	2	yes	—
486	#88123	C₂³	1	2	yes	—
487	#88123	C₂³	1	2	yes	—
488	#88123	C₂³	1	4	yes	—
489	C₄×Dic₂₆	C₂³	1	2	yes	—
490	C₄×Dic₂₆	C₂³	1	2	yes	—
491	C₄×Dic₂₆	C₂³	1	2	yes	—
492	C₄×Dic₂₆	C₂³	1	2	yes	—
493	C₄×Dic₂₆	C₂³	1	4	yes	—
494	#62748	—	13	1	no	maximal, Sylow
495	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂³×D₁₃	C₂⁴	1	4	yes	—
497	C₂³×D₁₃	C₂⁴	1	2	yes	—
498	C₂³×D₁₃	C₂⁴	1	8	yes	—
499	C₁₃×#41	—	2	8	no	—
500	C₁₃×#41	—	4	4	no	—
501	C₁₃×#41	—	4	4	no	—
502	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
503	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
504	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
505	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
506	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
507	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
508	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
509	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
510	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₁₃	—	2	4	no	—
512	C₂²×C₄×C₁₃	—	4	2	no	—
513	C₂²×C₄×C₁₃	—	4	2	no	—
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
526	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
532	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×C₂²⋊D₁₃	—	4	8	no	—
536	C₂×C₂²⋊D₁₃	—	4	4	no	—
537	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
538	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
539	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
540	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
541	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
542	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
543	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
544	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
545	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
546	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
547	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
548	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
549	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
550	#6131	—	4	8	no	—
551	Q₈×D₁₃	—	4	8	no	—
552	#6129	—	4	8	no	—
553	#6129	—	4	16	no	—
554	D₄×D₁₃	—	4	8	no	—
555	D₄×D₁₃	—	4	16	no	—
556	D₄×D₁₃	—	4	16	no	—
557	#6127	—	2	16	no	—
558	#6127	—	4	8	no	—
559	#6127	—	4	8	no	—
560	#6127	—	4	8	no	—
561	#6127	—	4	16	no	—
562	#6127	—	4	8	no	—
563	C₂×D₅₂	—	4	2	no	—
564	C₂×D₅₂	—	4	8	no	—
565	C₂×D₅₂	—	4	4	no	—
566	C₂×D₅₂	—	4	4	no	—
567	C₂×D₅₂	—	4	4	no	—
568	C₂×D₅₂	C₂⁴	1	4	yes	—
569	C₂×D₅₂	C₂⁴	1	2	yes	—
570	C₂×D₅₂	C₂⁴	1	4	yes	—
571	C₂×D₅₂	C₂⁴	1	4	yes	—
572	C₂×D₅₂	C₂⁴	1	4	yes	—
573	C₂×D₅₂	C₂⁴	1	4	yes	—
574	C₂×D₅₂	C₂⁴	1	2	yes	—
575	C₂×D₅₂	C₂⁴	1	8	yes	—
576	C₂×D₅₂	C₂⁴	1	8	yes	—
577	C₂×D₅₂	C₂⁴	1	4	yes	—
578	C₂×D₅₂	C₂⁴	1	8	yes	—
579	C₂×C₄×D₁₃	—	2	8	no	—
580	C₂×C₄×D₁₃	—	4	8	no	—
581	C₂×C₄×D₁₃	—	4	16	no	—
582	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
583	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
584	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
585	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
586	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
587	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
588	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
589	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
590	C₂×Dic₂₆	—	4	2	no	—
591	C₂×Dic₂₆	—	4	4	no	—
592	C₂×Dic₂₆	C₂⁴	1	2	yes	—
593	C₂×Dic₂₆	C₂⁴	1	4	yes	—
594	C₂×Dic₂₆	C₂⁴	1	2	yes	—
595	C₂×Dic₂₆	C₂⁴	1	4	yes	—
596	C₂×Dic₂₆	C₂⁴	1	8	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
610	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
614	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
615	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
617	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₄²×C₁₃	C₂⁴	1	4	yes	—
623	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₄²×C₁₃	C₂⁴	1	4	yes	—
630	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₄²×C₁₃	C₂⁴	1	4	yes	—
634	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
638	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
639	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
640	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
641	#6103	C₂⁴	1	4	yes	—
642	#6103	C₂⁴	1	4	yes	—
643	#6103	C₂⁴	1	4	yes	—
644	#6103	C₂⁴	1	4	yes	—
645	#6103	C₂⁴	1	8	yes	—
646	#6103	C₂⁴	1	8	yes	—
647	#6103	C₂⁴	1	8	yes	—
648	#6103	C₂⁴	1	8	yes	—
649	#6103	C₂⁴	1	4	yes	—
650	#6103	C₂⁴	1	8	yes	—
651	#6103	C₂⁴	1	8	yes	—
652	#6103	C₂⁴	1	8	yes	—
653	#6103	C₂⁴	1	4	yes	—
654	#6103	C₂⁴	1	8	yes	—
655	#6103	C₂⁴	1	8	yes	—
656	#6103	C₂⁴	1	8	yes	—
657	#6103	C₂⁴	1	8	yes	—
658	#6103	C₂⁴	1	4	yes	—
659	#6103	C₂⁴	1	4	yes	—
660	#6103	C₂⁴	1	8	yes	—
661	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
662	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
663	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
664	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
665	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
666	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
667	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
668	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
669	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
670	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
671	#6101	C₂⁴	1	4	yes	—
672	#6101	C₂⁴	1	4	yes	—
673	#6101	C₂⁴	1	8	yes	—
674	#6101	C₂⁴	1	4	yes	—
675	#6101	C₂⁴	1	4	yes	—
676	#6101	C₂⁴	1	4	yes	—
677	#6101	C₂⁴	1	4	yes	—
678	#6101	C₂⁴	1	8	yes	—
679	#6101	C₂⁴	1	8	yes	—
680	#6101	C₂⁴	1	4	yes	—
681	#6101	C₂⁴	1	4	yes	—
682	#6101	C₂⁴	1	8	yes	—
683	C₄×Dic₁₃	C₂⁴	1	4	yes	—
684	C₄×Dic₁₃	C₂⁴	1	4	yes	—
685	C₄×Dic₁₃	C₂⁴	1	8	yes	—
686	C₄×Dic₁₃	C₂⁴	1	8	yes	—
687	#3562	—	13	4	no	—
688	#3561	—	13	2	no	—
689	#3560	—	13	4	no	—
690	#3559	—	13	2	no	—
691	#3558	—	13	2	no	—
692	#3558	—	13	2	no	—
693	#3554	—	13	2	no	—
694	#3552	—	13	2	no	—
695	#3546	—	13	2	no	—
696	#3543	—	13	2	no	—
697	#3537	—	13	2	no	—
698	#3536	—	13	2	no	—
699	#3534	—	13	4	no	—
700	#3529	—	13	4	no	—
701	#3481	—	13	4	no	—
702	#3480	—	13	2	no	—
703	D₄×#41	—	13	4	no	—
704	D₄×#41	—	13	2	no	—
705	#3460	—	13	4	no	—
706	#3459	—	13	4	no	—
707	#3455	—	13	2	no	—
708	#3449	—	13	2	no	—
709	#3444	D₁₃	1	1	yes	characteristic, complemented
710	C₂×#532	—	13	1	no	—
711	C₂×#529	—	13	1	no	—
712	C₂³×C₁₃	—	2	2	no	—
713	C₂³×C₁₃	—	2	2	no	—
714	C₂³×C₁₃	—	4	1	no	—
715	C₂³×C₁₃	C₂⁵	1	4	yes	—
716	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
717	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
718	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
719	C₂²×D₁₃	—	2	4	no	—
720	C₂²×D₁₃	—	2	8	no	—
721	C₂²×D₁₃	—	4	4	no	—
722	C₂²×D₁₃	—	4	8	no	—
723	C₂²×D₁₃	—	4	4	no	—
724	C₂²×D₁₃	—	4	8	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	8	no	—
727	C₂²×D₁₃	—	4	2	no	—
728	C₂²×D₁₃	C₂⁵	1	4	yes	—
729	C₂²×D₁₃	C₂⁵	1	8	yes	—
730	Q₈×C₁₃	—	2	4	no	—
731	Q₈×C₁₃	—	4	2	no	—
732	Q₈×C₁₃	—	4	2	no	—
733	D₄×C₁₃	—	2	8	no	—
734	D₄×C₁₃	—	2	8	no	—
735	D₄×C₁₃	—	2	4	no	—
736	D₄×C₁₃	—	4	4	no	—
737	D₄×C₁₃	—	4	2	no	—
738	D₄×C₁₃	—	4	2	no	—
739	C₂×C₄×C₁₃	—	2	2	no	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	2	no	—
742	C₂×C₄×C₁₃	—	2	2	no	—
743	C₂×C₄×C₁₃	—	2	2	no	—
744	C₂×C₄×C₁₃	—	2	8	no	—
745	C₂×C₄×C₁₃	—	2	2	no	—
746	C₂×C₄×C₁₃	—	2	2	no	—
747	C₂×C₄×C₁₃	—	2	2	no	—
748	C₂×C₄×C₁₃	—	2	2	no	—
749	C₂×C₄×C₁₃	—	2	8	no	—
750	C₂×C₄×C₁₃	—	2	2	no	—
751	C₂×C₄×C₁₃	—	4	1	no	—
752	C₂×C₄×C₁₃	—	4	1	no	—
753	C₂×C₄×C₁₃	—	4	1	no	—
754	C₂×C₄×C₁₃	—	4	1	no	—
755	C₂×C₄×C₁₃	—	4	1	no	—
756	C₂×C₄×C₁₃	—	4	1	no	—
757	C₂×C₄×C₁₃	—	4	1	no	—
758	C₂×C₄×C₁₃	—	4	4	no	—
759	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
760	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
761	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
762	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
763	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
764	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
765	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
766	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
767	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
768	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
769	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
770	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
771	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
772	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
773	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
774	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
775	C₂²⋊D₁₃	—	2	16	no	—
776	C₂²⋊D₁₃	—	2	8	no	—
777	C₂²⋊D₁₃	—	4	8	no	—
778	C₂²⋊D₁₃	—	4	8	no	—
779	C₂²⋊D₁₃	—	4	8	no	—
780	C₂²⋊D₁₃	—	4	8	no	—
781	C₂²⋊D₁₃	—	4	8	no	—
782	C₂²⋊D₁₃	—	4	4	no	—
783	C₂×Dic₁₃	—	2	4	no	—
784	C₂×Dic₁₃	—	4	4	no	—
785	C₂×Dic₁₃	—	4	2	no	—
786	C₂×Dic₁₃	—	4	8	no	—
787	C₂×Dic₁₃	—	4	2	no	—
788	C₂×Dic₁₃	C₂⁵	1	4	yes	—
789	C₂×Dic₁₃	C₂⁵	1	4	yes	—
790	C₂×Dic₁₃	C₂⁵	1	8	yes	—
791	C₂×Dic₁₃	C₂⁵	1	4	yes	—
792	D₅₂	—	2	8	no	—
793	D₅₂	—	2	4	no	—
794	D₅₂	—	2	8	no	—
795	D₅₂	—	4	2	no	—
796	D₅₂	—	4	8	no	—
797	D₅₂	—	4	4	no	—
798	D₅₂	—	4	4	no	—
799	D₅₂	—	4	4	no	—
800	D₅₂	—	4	4	no	—
801	D₅₂	—	4	8	no	—
802	D₅₂	—	4	8	no	—
803	C₄×D₁₃	—	2	8	no	—
804	C₄×D₁₃	—	2	8	no	—
805	C₄×D₁₃	—	2	16	no	—
806	C₄×D₁₃	—	4	8	no	—
807	C₄×D₁₃	—	4	8	no	—
808	C₄×D₁₃	—	4	8	no	—
809	C₄×D₁₃	—	4	8	no	—
810	C₄×D₁₃	—	4	8	no	—
811	Dic₂₆	—	2	8	no	—
812	Dic₂₆	—	2	4	no	—
813	Dic₂₆	—	4	2	no	—
814	Dic₂₆	—	4	4	no	—
815	Dic₂₆	—	4	8	no	—
816	C₂²×#41	—	13	4	no	—
817	C₂²×#41	—	13	2	no	—
818	#563	—	13	8	no	—
819	#563	—	13	4	no	—
820	#562	—	13	4	no	—
821	#562	—	13	4	no	—
822	#562	—	13	8	no	—
823	#562	—	13	8	no	—
824	H(3,𝔽₄)	—	13	4	no	—
825	#560	—	13	8	no	—
826	#560	—	13	8	no	—
827	#560	—	13	8	no	—
828	#559	—	13	2	no	—
829	#559	—	13	4	no	—
830	#559	—	13	4	no	—
831	#557	—	13	2	no	—
832	#556	—	13	4	no	—
833	#556	—	13	2	no	—
834	#554	—	13	4	no	—
835	#554	—	13	4	no	—
836	#553	—	13	8	no	—
837	#553	—	13	4	no	—
838	#553	—	13	4	no	—
839	#553	—	13	4	no	—
840	#553	—	13	8	no	—
841	#551	—	13	8	no	—
842	#551	—	13	8	no	—
843	#550	—	13	4	no	—
844	#550	—	13	2	no	—
845	#550	—	13	2	no	—
846	D₄×Q₈	—	13	4	no	—
847	D₄×Q₈	—	13	2	no	—
848	#548	—	13	4	no	—
849	#548	—	13	4	no	—
850	#548	—	13	4	no	—
851	#548	—	13	4	no	—
852	#547	—	13	8	no	—
853	#547	—	13	4	no	—
854	#547	—	13	4	no	—
855	#547	—	13	2	no	—
856	#546	—	13	8	no	—
857	#546	—	13	8	no	—
858	#546	—	13	4	no	—
859	#546	—	13	4	no	—
860	#546	—	13	8	no	—
861	#546	—	13	4	no	—
862	#546	—	13	4	no	—
863	#546	—	13	8	no	—
864	#546	—	13	4	no	—
865	D₄²	—	13	4	no	—
866	D₄²	—	13	8	no	—
867	D₄²	—	13	4	no	—
868	D₄²	—	13	2	no	—
869	D₄²	—	13	4	no	—
870	#544	—	13	4	no	—
871	#543	—	13	4	no	—
872	#542	—	13	4	no	—
873	#542	—	13	4	no	—
874	#542	—	13	8	no	—
875	#542	—	13	4	no	—
876	#542	—	13	4	no	—
877	#541	—	13	4	no	—
878	#540	—	13	4	no	—
879	#540	—	13	8	no	—
880	#540	—	13	4	no	—
881	#540	—	13	4	no	—
882	#539	—	13	8	no	—
883	#539	—	13	8	no	—
884	#539	—	13	8	no	—
885	#539	—	13	4	no	—
886	#539	—	13	4	no	—
887	#538	—	13	8	no	—
888	#538	—	13	8	no	—
889	#538	—	13	4	no	—
890	#538	—	13	4	no	—
891	#538	—	13	4	no	—
892	#538	—	13	4	no	—
893	#538	—	13	8	no	—
894	#538	—	13	8	no	—
895	#537	—	13	4	no	—
896	#537	—	13	4	no	—
897	#537	—	13	4	no	—
898	#536	—	13	4	no	—
899	#536	—	13	4	no	—
900	#535	—	13	4	no	—
901	#535	—	13	4	no	—
902	#535	—	13	4	no	—
903	#535	—	13	4	no	—
904	#534	—	13	8	no	—
905	#534	—	13	4	no	—
906	#534	—	13	4	no	—
907	#534	—	13	4	no	—
908	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
909	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
910	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
911	#532	—	13	4	no	—
912	#532	—	13	8	no	—
913	#532	—	13	2	no	—
914	#532	—	13	2	no	—
915	#532	—	13	2	no	—
916	#532	—	13	2	no	—
917	#532	—	13	2	no	—
918	#532	—	13	2	no	—
919	#532	—	13	2	no	—
920	#532	—	13	2	no	—
921	#532	—	13	4	no	—
922	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
924	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
925	C₂×C₄⋊Q₈	—	13	1	no	—
926	C₂×#127	—	13	1	no	—
927	#529	—	13	8	no	—
928	#529	—	13	8	no	—
929	#529	—	13	8	no	—
930	#529	—	13	2	no	—
931	#529	—	13	2	no	—
932	#529	—	13	2	no	—
933	#529	—	13	2	no	—
934	#529	—	13	2	no	—
935	#529	—	13	2	no	—
936	#529	—	13	2	no	—
937	#529	—	13	2	no	—
938	#529	—	13	4	no	—
939	#529	C₂×D₁₃	1	2	yes	complemented
940	#529	C₂×D₁₃	1	2	yes	complemented
941	#529	C₂×D₁₃	1	2	yes	complemented
942	#529	C₂×D₁₃	1	2	yes	complemented
943	#529	C₂×D₁₃	1	2	yes	complemented
944	#529	C₂×D₁₃	1	2	yes	complemented
945	C₂×#126	—	13	2	no	—
946	C₂×#125	—	13	1	no	—
947	C₂×#124	—	13	1	no	—
948	C₂×#124	—	13	2	no	—
949	#525	—	13	8	no	—
950	#525	—	13	8	no	—
951	#525	—	13	8	no	—
952	#525	—	13	8	no	—
953	#525	—	13	4	no	—
954	#525	—	13	8	no	—
955	#525	C₂×D₁₃	1	2	yes	complemented
956	#525	C₂×D₁₃	1	2	yes	complemented
957	#525	C₂×D₁₃	1	2	yes	complemented
958	C₂×#123	—	13	2	no	—
959	C₂×C₂²⋊Q₈	—	13	1	no	—
960	C₂×#121	—	13	1	no	—
961	C₂×#121	—	13	2	no	—
962	C₂×#121	—	13	2	no	—
963	C₄×#41	—	13	4	no	—
964	C₄×#41	—	13	4	no	—
965	C₄×#41	C₂×D₁₃	1	2	yes	complemented
966	C₄×#41	C₂×D₁₃	1	2	yes	complemented
967	C₄×#41	C₂×D₁₃	1	2	yes	complemented
968	C₂×C₄×Q₈	—	13	1	no	—
969	C₂×C₄×D₄	—	13	2	no	—
970	C₂×C₄×D₄	—	13	8	no	—
971	C₂×C₄×D₄	—	13	1	no	—
972	C₂×C₄×D₄	—	13	2	no	—
973	C₂×C₄×D₄	—	13	2	no	—
974	C₂×C₄×D₄	—	13	4	no	—
975	C₂×#117	—	13	2	no	—
976	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	1	no	—
979	C₂²×C₁₃	—	2	1	no	—
980	C₂²×C₁₃	—	2	1	no	—
981	C₂²×C₁₃	—	2	4	no	—
982	C₂²×C₁₃	—	2	1	no	—
983	C₂²×C₁₃	—	2	1	no	—
984	C₂²×C₁₃	—	2	4	no	—
985	C₂²×C₁₃	—	2	4	no	—
986	C₂²×C₁₃	—	2	1	no	—
987	C₂²×C₁₃	—	4	4	no	—
988	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
989	C₂²×C₁₃	#585	1	2	yes	—
990	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
991	C₂×D₁₃	—	2	4	no	—
992	C₂×D₁₃	—	2	8	no	—
993	C₂×D₁₃	—	2	8	no	—
994	C₂×D₁₃	—	2	8	no	—
995	C₂×D₁₃	—	2	4	no	—
996	C₂×D₁₃	—	2	4	no	—
997	C₂×D₁₃	—	8	8	no	—
998	C₂×D₁₃	—	8	4	no	—
999	C₂×D₁₃	—	8	16	no	—
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	4	no	—
1002	C₄×C₁₃	—	2	1	no	—
1003	C₄×C₁₃	—	2	1	no	—
1004	C₄×C₁₃	—	2	4	no	—
1005	C₄×C₁₃	—	2	4	no	—
1006	C₄×C₁₃	—	2	1	no	—
1007	C₄×C₁₃	—	2	1	no	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	1	no	—
1010	C₄×C₁₃	—	2	1	no	—
1011	C₄×C₁₃	—	2	1	no	—
1012	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1013	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1014	C₄×C₁₃	#585	1	2	yes	—
1015	Dic₁₃	—	2	8	no	—
1016	Dic₁₃	—	2	4	no	—
1017	Dic₁₃	—	2	4	no	—
1018	Dic₁₃	—	2	4	no	—
1019	C₂×#41	—	13	4	no	—
1020	C₂×#41	—	13	4	no	—
1021	C₂×#41	—	13	8	no	—
1022	C₂×#41	—	13	4	no	—
1023	C₂×#41	—	13	4	no	—
1024	C₂×#41	—	13	8	no	—
1025	C₂×#41	—	13	4	no	—
1026	C₂×#41	—	13	4	no	—
1027	C₂×#41	—	13	4	no	—
1028	C₂×#41	—	52	8	no	—
1029	C₂×#41	—	52	16	no	—
1030	C₂×#41	C₂²×D₁₃	1	2	yes	—
1031	C₂×#41	C₂²×D₁₃	1	2	yes	—
1032	C₂×#41	C₂²×D₁₃	1	2	yes	—
1033	C₂²×Q₈	—	13	4	no	—
1034	C₂²×Q₈	—	13	1	no	—
1035	C₂²×Q₈	—	13	2	no	—
1036	C₂²×D₄	—	13	2	no	—
1037	C₂²×D₄	—	13	4	no	—
1038	C₂²×D₄	—	13	8	no	—
1039	C₂²×D₄	—	13	8	no	—
1040	C₂²×D₄	—	13	4	no	—
1041	C₂²×D₄	—	13	1	no	—
1042	C₂²×D₄	—	13	2	no	—
1043	C₂²×D₄	—	13	2	no	—
1044	C₂²×D₄	—	13	4	no	—
1045	C₂²×D₄	—	13	2	no	—
1046	C₂³×C₄	—	13	2	no	—
1047	C₂³×C₄	—	13	4	no	—
1048	C₂³×C₄	—	13	8	no	—
1049	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1052	C₄⋊Q₈	—	13	4	no	—
1053	C₄⋊Q₈	—	13	8	no	—
1054	C₄⋊Q₈	—	13	2	no	—
1055	C₄⋊Q₈	—	13	2	no	—
1056	C₄⋊Q₈	—	13	2	no	—
1057	C₄⋊Q₈	—	13	2	no	—
1058	C₄⋊Q₈	—	13	4	no	—
1059	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1060	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1061	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1062	#127	—	13	4	no	—
1063	#127	—	13	8	no	—
1064	#127	—	13	2	no	—
1065	#127	—	13	2	no	—
1066	#127	—	13	2	no	—
1067	#127	—	13	2	no	—
1068	#127	—	13	4	no	—
1069	#127	C₂²×D₁₃	1	1	yes	characteristic
1070	#126	—	13	8	no	—
1071	#126	—	13	8	no	—
1072	#126	—	13	8	no	—
1073	#126	—	13	8	no	—
1074	#126	—	13	8	no	—
1075	#126	—	13	8	no	—
1076	#126	—	13	4	no	—
1077	#126	—	13	4	no	—
1078	#126	—	13	4	no	—
1079	#126	—	13	4	no	—
1080	#126	—	13	8	no	—
1081	#126	C₂²×D₁₃	1	4	yes	—
1082	#126	C₂²×D₁₃	1	4	yes	—
1083	#125	—	13	8	no	—
1084	#125	—	13	8	no	—
1085	#125	—	13	8	no	—
1086	#125	—	13	2	no	—
1087	#125	—	13	2	no	—
1088	#125	—	13	2	no	—
1089	#125	—	13	2	no	—
1090	#125	—	13	4	no	—
1091	#125	C₂²×D₁₃	1	2	yes	—
1092	#125	C₂²×D₁₃	1	2	yes	—
1093	#125	C₂²×D₁₃	1	2	yes	—
1094	#124	—	13	8	no	—
1095	#124	—	13	8	no	—
1096	#124	—	13	4	no	—
1097	#124	—	13	4	no	—
1098	#124	—	13	8	no	—
1099	#124	—	13	8	no	—
1100	#124	—	13	8	no	—
1101	#124	—	13	2	no	—
1102	#124	—	13	2	no	—
1103	#124	—	13	2	no	—
1104	#124	—	13	2	no	—
1105	#124	—	13	4	no	—
1106	#124	—	13	4	no	—
1107	#124	—	13	4	no	—
1108	#124	—	13	4	no	—
1109	#124	—	13	4	no	—
1110	#124	—	13	8	no	—
1111	#124	C₂²×D₁₃	1	2	yes	—
1112	#124	C₂²×D₁₃	1	2	yes	—
1113	#124	C₂²×D₁₃	1	2	yes	—
1114	#123	—	13	4	no	—
1115	#123	—	13	4	no	—
1116	#123	—	13	4	no	—
1117	#123	—	13	4	no	—
1118	#123	—	13	8	no	—
1119	#123	—	13	8	no	—
1120	#123	—	13	8	no	—
1121	#123	—	13	8	no	—
1122	#123	—	13	8	no	—
1123	#123	—	13	8	no	—
1124	#123	—	13	8	no	—
1125	#123	—	13	8	no	—
1126	#123	—	13	8	no	—
1127	#123	—	13	8	no	—
1128	#123	—	13	8	no	—
1129	#123	—	13	8	no	—
1130	#123	—	13	8	no	—
1131	#123	—	13	8	no	—
1132	#123	—	13	8	no	—
1133	#123	—	13	8	no	—
1134	#123	—	13	8	no	—
1135	#123	—	13	8	no	—
1136	#123	C₂²×D₁₃	1	4	yes	—
1137	#123	C₂²×D₁₃	1	4	yes	—
1138	#123	C₂²×D₁₃	1	4	yes	—
1139	C₂²⋊Q₈	—	13	8	no	—
1140	C₂²⋊Q₈	—	13	8	no	—
1141	C₂²⋊Q₈	—	13	2	no	—
1142	C₂²⋊Q₈	—	13	2	no	—
1143	C₂²⋊Q₈	—	13	2	no	—
1144	C₂²⋊Q₈	—	13	2	no	—
1145	C₂²⋊Q₈	—	13	4	no	—
1146	C₂²⋊Q₈	—	13	8	no	—
1147	C₂²⋊Q₈	—	13	8	no	—
1148	C₂²⋊Q₈	—	13	8	no	—
1149	C₂²⋊Q₈	—	13	8	no	—
1150	C₂²⋊Q₈	—	13	8	no	—
1151	C₂²⋊Q₈	—	13	4	no	—
1152	C₂²⋊Q₈	—	13	4	no	—
1153	C₂²⋊Q₈	—	13	8	no	—
1154	C₂²⋊Q₈	—	13	8	no	—
1155	C₂²⋊Q₈	—	13	8	no	—
1156	C₂²⋊Q₈	—	13	8	no	—
1157	C₂²⋊Q₈	—	13	8	no	—
1158	C₂²⋊Q₈	—	13	8	no	—
1159	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1160	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1161	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1162	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1163	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1164	C₂²⋊Q₈	C₂²×D₁₃	1	2	yes	—
1165	#121	—	13	8	no	—
1166	#121	—	13	8	no	—
1167	#121	—	13	8	no	—
1168	#121	—	13	8	no	—
1169	#121	—	13	8	no	—
1170	#121	—	13	8	no	—
1171	#121	—	13	8	no	—
1172	#121	—	13	2	no	—
1173	#121	—	13	2	no	—
1174	#121	—	13	2	no	—
1175	#121	—	13	2	no	—
1176	#121	—	13	4	no	—
1177	#121	—	13	4	no	—
1178	#121	—	13	4	no	—
1179	#121	—	13	4	no	—
1180	#121	—	13	4	no	—
1181	#121	—	13	4	no	—
1182	#121	—	13	4	no	—
1183	#121	—	13	4	no	—
1184	#121	—	13	4	no	—
1185	#121	—	13	4	no	—
1186	#121	—	13	4	no	—
1187	#121	—	13	8	no	—
1188	#121	—	13	8	no	—
1189	#121	—	13	8	no	—
1190	#121	—	13	4	no	—
1191	#121	—	13	4	no	—
1192	#121	—	13	8	no	—
1193	#121	—	13	8	no	—
1194	#121	—	13	8	no	—
1195	#121	—	13	8	no	—
1196	#121	—	13	8	no	—
1197	#121	—	13	8	no	—
1198	#121	—	13	8	no	—
1199	#121	—	13	8	no	—
1200	#121	—	13	8	no	—
1201	#121	—	13	8	no	—
1202	#121	C₂²×D₁₃	1	2	yes	—
1203	#121	C₂²×D₁₃	1	2	yes	—
1204	#121	C₂²×D₁₃	1	2	yes	—
1205	#121	C₂²×D₁₃	1	2	yes	—
1206	#121	C₂²×D₁₃	1	2	yes	—
1207	#121	C₂²×D₁₃	1	2	yes	—
1208	#120	—	13	8	no	—
1209	#120	—	13	8	no	—
1210	#120	—	13	8	no	—
1211	#120	—	13	8	no	—
1212	#120	—	13	8	no	—
1213	#120	—	13	8	no	—
1214	#120	—	13	8	no	—
1215	#120	—	13	8	no	—
1216	#120	—	13	8	no	—
1217	#120	—	13	8	no	—
1218	#120	—	13	8	no	—
1219	#120	C₂²×D₁₃	1	4	yes	—
1220	C₄×Q₈	—	13	4	no	—
1221	C₄×Q₈	—	13	4	no	—
1222	C₄×Q₈	—	13	2	no	—
1223	C₄×Q₈	—	13	2	no	—
1224	C₄×Q₈	—	13	2	no	—
1225	C₄×Q₈	—	13	2	no	—
1226	C₄×Q₈	—	13	4	no	—
1227	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1228	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1229	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1230	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1231	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1232	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
1233	C₄×D₄	—	13	8	no	—
1234	C₄×D₄	—	13	4	no	—
1235	C₄×D₄	—	13	8	no	—
1236	C₄×D₄	—	13	4	no	—
1237	C₄×D₄	—	13	4	no	—
1238	C₄×D₄	—	13	4	no	—
1239	C₄×D₄	—	13	8	no	—
1240	C₄×D₄	—	13	8	no	—
1241	C₄×D₄	—	13	8	no	—
1242	C₄×D₄	—	13	4	no	—
1243	C₄×D₄	—	13	4	no	—
1244	C₄×D₄	—	13	8	no	—
1245	C₄×D₄	—	13	8	no	—
1246	C₄×D₄	—	13	8	no	—
1247	C₄×D₄	—	13	8	no	—
1248	C₄×D₄	—	13	2	no	—
1249	C₄×D₄	—	13	4	no	—
1250	C₄×D₄	—	13	2	no	—
1251	C₄×D₄	—	13	8	no	—
1252	C₄×D₄	—	13	8	no	—
1253	C₄×D₄	—	13	4	no	—
1254	C₄×D₄	—	13	4	no	—
1255	C₄×D₄	—	13	4	no	—
1256	C₄×D₄	—	13	2	no	—
1257	C₄×D₄	—	13	2	no	—
1258	C₄×D₄	—	13	4	no	—
1259	C₄×D₄	—	13	4	no	—
1260	C₄×D₄	—	13	4	no	—
1261	C₄×D₄	—	13	4	no	—
1262	C₄×D₄	—	13	4	no	—
1263	C₄×D₄	—	13	4	no	—
1264	C₄×D₄	—	13	8	no	—
1265	C₄×D₄	—	13	4	no	—
1266	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1267	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1268	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1269	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1270	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1271	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1272	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1273	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1274	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1275	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1276	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1277	C₄×D₄	C₂²×D₁₃	1	2	yes	—
1278	#117	—	13	4	no	—
1279	#117	—	13	4	no	—
1280	#117	—	13	4	no	—
1281	#117	—	13	4	no	—
1282	#117	—	13	4	no	—
1283	#117	—	13	8	no	—
1284	#117	—	13	8	no	—
1285	#117	C₂²×D₁₃	1	2	yes	—
1286	#117	C₂²×D₁₃	1	4	yes	—
1287	#117	C₂²×D₁₃	1	2	yes	—
1288	#117	C₂²×D₁₃	1	2	yes	—
1289	#117	C₂²×D₁₃	1	4	yes	—
1290	#117	C₂²×D₁₃	1	4	yes	—
1291	C₂×C₄⋊C₄	—	13	2	no	—
1292	C₂×C₄⋊C₄	—	13	2	no	—
1293	C₂×C₄⋊C₄	—	13	2	no	—
1294	C₂×C₄⋊C₄	—	13	2	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	13	2	no	—
1297	C₂×C₄⋊C₄	—	13	4	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	2	no	—
1300	C₂×C₄⋊C₄	—	13	8	no	—
1301	C₂×C₂²⋊C₄	—	13	2	no	—
1302	C₂×C₂²⋊C₄	—	13	2	no	—
1303	C₂×C₂²⋊C₄	—	13	2	no	—
1304	C₂×C₂²⋊C₄	—	13	4	no	—
1305	C₂×C₂²⋊C₄	—	13	4	no	—
1306	C₂×C₂²⋊C₄	—	13	2	no	—
1307	C₂×C₂²⋊C₄	—	13	2	no	—
1308	C₂×C₂²⋊C₄	—	13	8	no	—
1309	C₂×C₂²⋊C₄	—	13	8	no	—
1310	C₂×C₂²⋊C₄	—	13	8	no	—
1311	C₂×C₄²	—	13	2	no	—
1312	C₂×C₄²	—	13	8	no	—
1313	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1314	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1315	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1316	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1317	C₂×C₄²	C₂²×D₁₃	1	4	yes	—
1318	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1319	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1320	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1321	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1323	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1324	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1325	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1326	C₂×C₁₃	—	2	2	no	—
1327	C₂×C₁₃	—	2	2	no	—
1328	C₂×C₁₃	—	4	4	no	—
1329	C₂×C₁₃	—	4	1	no	—
1330	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1331	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1332	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1333	D₁₃	—	4	8	no	—
1334	D₁₃	—	4	4	no	—
1335	C₂⁴	—	13	2	no	—
1336	C₂⁴	—	13	4	no	—
1337	C₂⁴	—	13	8	no	—
1338	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1339	#41	—	2	8	no	—
1340	#41	—	4	4	no	—
1341	#41	—	4	4	no	—
1342	#41	—	26	16	no	—
1343	#41	—	52	8	no	—
1344	#41	—	52	16	no	—
1345	#41	—	52	8	no	—
1346	#41	—	52	8	no	—
1347	#41	—	52	8	no	—
1348	#41	—	52	16	no	—
1349	#41	—	52	8	no	—
1350	#41	—	52	8	no	—
1351	C₂×Q₈	—	13	2	no	—
1352	C₂×Q₈	—	13	4	no	—
1353	C₂×Q₈	—	13	2	no	—
1354	C₂×Q₈	—	13	8	no	—
1355	C₂×Q₈	—	13	4	no	—
1356	C₂×Q₈	—	52	4	no	—
1357	C₂×Q₈	—	52	2	no	—
1358	C₂×Q₈	—	52	8	no	—
1359	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1360	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1361	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1362	C₂×D₄	—	13	4	no	—
1363	C₂×D₄	—	13	8	no	—
1364	C₂×D₄	—	13	8	no	—
1365	C₂×D₄	—	13	4	no	—
1366	C₂×D₄	—	13	8	no	—
1367	C₂×D₄	—	13	8	no	—
1368	C₂×D₄	—	13	8	no	—
1369	C₂×D₄	—	13	8	no	—
1370	C₂×D₄	—	13	2	no	—
1371	C₂×D₄	—	13	4	no	—
1372	C₂×D₄	—	13	4	no	—
1373	C₂×D₄	—	13	2	no	—
1374	C₂×D₄	—	13	8	no	—
1375	C₂×D₄	—	13	8	no	—
1376	C₂×D₄	—	13	4	no	—
1377	C₂×D₄	—	13	4	no	—
1378	C₂×D₄	—	13	4	no	—
1379	C₂×D₄	—	13	8	no	—
1380	C₂×D₄	—	13	4	no	—
1381	C₂×D₄	—	52	4	no	—
1382	C₂×D₄	—	52	4	no	—
1383	C₂×D₄	—	52	2	no	—
1384	C₂×D₄	—	52	8	no	—
1385	C₂×D₄	—	52	4	no	—
1386	C₂×D₄	—	52	8	no	—
1387	C₂×D₄	—	52	16	no	—
1388	C₂×D₄	—	52	16	no	—
1389	C₂×D₄	—	52	8	no	—
1390	C₂×D₄	—	52	4	no	—
1391	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1392	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1393	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1394	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1395	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1396	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1397	C₂²×C₄	—	2	4	no	—
1398	C₂²×C₄	—	4	2	no	—
1399	C₂²×C₄	—	4	2	no	—
1400	C₂²×C₄	—	13	2	no	—
1401	C₂²×C₄	—	13	2	no	—
1402	C₂²×C₄	—	13	2	no	—
1403	C₂²×C₄	—	13	4	no	—
1404	C₂²×C₄	—	13	8	no	—
1405	C₂²×C₄	—	13	4	no	—
1406	C₂²×C₄	—	13	8	no	—
1407	C₂²×C₄	—	13	4	no	—
1408	C₂²×C₄	—	13	8	no	—
1409	C₂²×C₄	—	13	8	no	—
1410	C₂²×C₄	—	13	8	no	—
1411	C₂²×C₄	—	13	8	no	—
1412	C₂²×C₄	—	13	8	no	—
1413	C₂²×C₄	—	26	8	no	—
1414	C₂²×C₄	—	52	8	no	—
1415	C₂²×C₄	—	52	16	no	—
1416	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1417	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1418	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1422	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1425	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1428	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1430	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1431	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1432	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1433	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1434	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1436	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	—	13	2	no	—
1438	C₄⋊C₄	—	13	4	no	—
1439	C₄⋊C₄	—	13	4	no	—
1440	C₄⋊C₄	—	13	2	no	—
1441	C₄⋊C₄	—	13	4	no	—
1442	C₄⋊C₄	—	13	4	no	—
1443	C₄⋊C₄	—	13	4	no	—
1444	C₄⋊C₄	—	13	4	no	—
1445	C₄⋊C₄	—	13	4	no	—
1446	C₄⋊C₄	—	13	8	no	—
1447	C₄⋊C₄	—	13	4	no	—
1448	C₄⋊C₄	—	13	4	no	—
1449	C₄⋊C₄	—	13	4	no	—
1450	C₄⋊C₄	—	13	4	no	—
1451	C₄⋊C₄	—	13	8	no	—
1452	C₄⋊C₄	—	13	8	no	—
1453	C₄⋊C₄	—	13	2	no	—
1454	C₄⋊C₄	—	13	4	no	—
1455	C₄⋊C₄	—	13	2	no	—
1456	C₄⋊C₄	—	13	8	no	—
1457	C₄⋊C₄	—	13	8	no	—
1458	C₄⋊C₄	—	13	8	no	—
1459	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1460	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1461	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1462	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1463	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1464	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1465	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1466	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1467	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1468	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1469	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1470	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1471	C₂²⋊C₄	—	13	4	no	—
1472	C₂²⋊C₄	—	13	8	no	—
1473	C₂²⋊C₄	—	13	4	no	—
1474	C₂²⋊C₄	—	13	8	no	—
1475	C₂²⋊C₄	—	13	4	no	—
1476	C₂²⋊C₄	—	13	4	no	—
1477	C₂²⋊C₄	—	13	8	no	—
1478	C₂²⋊C₄	—	13	4	no	—
1479	C₂²⋊C₄	—	13	4	no	—
1480	C₂²⋊C₄	—	13	4	no	—
1481	C₂²⋊C₄	—	13	4	no	—
1482	C₂²⋊C₄	—	13	4	no	—
1483	C₂²⋊C₄	—	13	8	no	—
1484	C₂²⋊C₄	—	13	8	no	—
1485	C₂²⋊C₄	—	13	4	no	—
1486	C₂²⋊C₄	—	13	8	no	—
1487	C₂²⋊C₄	—	13	8	no	—
1488	C₂²⋊C₄	—	13	8	no	—
1489	C₂²⋊C₄	—	13	8	no	—
1490	C₂²⋊C₄	—	13	8	no	—
1491	C₂²⋊C₄	—	13	8	no	—
1492	C₂²⋊C₄	—	13	8	no	—
1493	C₂²⋊C₄	—	13	8	no	—
1494	C₂²⋊C₄	—	13	8	no	—
1495	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1496	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1497	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1498	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1499	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1500	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1501	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1502	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1503	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1504	C₄²	—	13	4	no	—
1505	C₄²	—	13	8	no	—
1506	C₄²	—	13	8	no	—
1507	C₄²	—	13	4	no	—
1508	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1509	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1511	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1512	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1513	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1514	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1515	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1516	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1517	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1518	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1519	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1520	C₄²	C₂³×D₁₃	1	4	yes	—
1521	C₄²	C₂³×D₁₃	1	4	yes	—
1522	C₄²	C₂³×D₁₃	1	4	yes	—
1523	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1524	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1525	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1526	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1527	C₁₃	#62748	1	1	yes	characteristic, complemented, Sylow
1528	C₂³	—	2	2	no	—
1529	C₂³	—	2	2	no	—
1530	C₂³	—	4	1	no	—
1531	C₂³	—	13	4	no	—
1532	C₂³	—	13	8	no	—
1533	C₂³	—	26	4	no	—
1534	C₂³	—	26	8	no	—
1535	C₂³	—	52	4	no	—
1536	C₂³	—	52	8	no	—
1537	C₂³	—	52	2	no	—
1538	C₂³	—	52	4	no	—
1539	C₂³	—	52	2	no	—
1540	C₂³	—	52	8	no	—
1541	C₂³	—	52	8	no	—
1542	C₂³	C₂⁴×D₁₃	1	4	yes	—
1543	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1544	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1545	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1546	Q₈	—	2	4	no	—
1547	Q₈	—	4	2	no	—
1548	Q₈	—	4	2	no	—
1549	Q₈	—	26	8	no	—
1550	Q₈	—	26	4	no	—
1551	Q₈	—	52	2	no	—
1552	Q₈	—	52	4	no	—
1553	Q₈	—	52	8	no	—
1554	D₄	—	2	8	no	—
1555	D₄	—	2	8	no	—
1556	D₄	—	2	4	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	4	4	no	—
1560	D₄	—	26	16	no	—
1561	D₄	—	26	8	no	—
1562	D₄	—	26	8	no	—
1563	D₄	—	26	4	no	—
1564	D₄	—	26	8	no	—
1565	D₄	—	52	4	no	—
1566	D₄	—	52	4	no	—
1567	D₄	—	52	4	no	—
1568	D₄	—	52	2	no	—
1569	D₄	—	52	8	no	—
1570	D₄	—	52	8	no	—
1571	D₄	—	52	4	no	—
1572	D₄	—	52	8	no	—
1573	D₄	—	52	4	no	—
1574	D₄	—	52	8	no	—
1575	D₄	—	52	8	no	—
1576	D₄	—	52	8	no	—
1577	D₄	—	52	8	no	—
1578	D₄	—	52	8	no	—
1579	C₂×C₄	—	2	2	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	8	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	8	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	4	no	—
1599	C₂×C₄	—	13	4	no	—
1600	C₂×C₄	—	13	4	no	—
1601	C₂×C₄	—	13	8	no	—
1602	C₂×C₄	—	13	4	no	—
1603	C₂×C₄	—	26	4	no	—
1604	C₂×C₄	—	26	8	no	—
1605	C₂×C₄	—	26	8	no	—
1606	C₂×C₄	—	26	16	no	—
1607	C₂×C₄	—	52	8	no	—
1608	C₂×C₄	—	52	8	no	—
1609	C₂×C₄	—	52	8	no	—
1610	C₂×C₄	—	52	8	no	—
1611	C₂×C₄	—	52	8	no	—
1612	C₂×C₄	—	52	4	no	—
1613	C₂×C₄	—	52	8	no	—
1614	C₂×C₄	—	52	2	no	—
1615	C₂×C₄	—	52	2	no	—
1616	C₂×C₄	#88256	1	4	yes	—
1617	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1618	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1619	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1620	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1621	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1622	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1623	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1624	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1629	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1630	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	4	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	4	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	4	4	no	—
1643	C₂²	—	26	4	no	—
1644	C₂²	—	26	8	no	—
1645	C₂²	—	26	8	no	—
1646	C₂²	—	26	8	no	—
1647	C₂²	—	26	4	no	—
1648	C₂²	—	26	4	no	—
1649	C₂²	—	104	8	no	—
1650	C₂²	—	104	4	no	—
1651	C₂²	—	104	16	no	—
1652	C₂²	C₂×#88256	1	2	yes	—
1653	C₂²	#11719648	1	2	yes	—
1654	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	2	4	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	4	no	—
1666	C₄	—	2	4	no	—
1667	C₄	—	26	4	no	—
1668	C₄	—	26	8	no	—
1669	C₄	—	26	4	no	—
1670	C₄	—	26	4	no	—
1671	C₄	C₂×#88256	1	2	yes	—
1672	C₄	C₂×#88256	1	2	yes	—
1673	C₄	#11719648	1	2	yes	—
1674	C₂	—	2	2	no	—
1675	C₂	—	2	2	no	—
1676	C₂	—	4	1	no	—
1677	C₂	—	4	4	no	—
1678	C₂	—	52	4	no	—
1679	C₂	—	52	8	no	—
1680	C₂	C₂²×#88256	1	1	yes	characteristic
1681	C₂	C₂×#11719648	1	1	yes	characteristic
1682	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₁₃×#3444	C₂
hypercenter	#3444	D₁₃
hypocenter	C₁₃	#62748
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #3444

Complements

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

N	H ≅ G/N	type
1. #13129416	C₂	semidirect
2. #13129401	C₂	semidirect
3. #13129382	C₂	semidirect
4. #13129367	C₂	semidirect
5. #13129359	C₂	semidirect
6. #13129352	C₂	semidirect
7. #13129307	C₂	semidirect
8. #13129273	C₂	semidirect
9. #13129208	C₂	semidirect
10. #13129166	C₂	semidirect
11. #13129075	C₂	semidirect
12. #13129063	C₂	semidirect
13. #13129020	C₂	semidirect
14. #13128975	C₂	semidirect
15. #13128446	C₂	semidirect
16. #13128429	C₂	semidirect
17. #41×D₅₂	C₂	semidirect
18. #13128319	C₂	semidirect
19. #13128252	C₂	semidirect
20. #13128246	C₂	semidirect
21. #13128228	C₂	semidirect
22. #13128163	C₂	semidirect
23. C₂×#11719182	C₂	semidirect
24. C₂×#11719184	C₂	semidirect
25. C₁₃×#3444	C₂	semidirect
26. C₂×#41×D₁₃	C₂²	semidirect
27. C₂²×#6127	C₂²	semidirect
28. C₁₃×#533	C₂²	semidirect
29. C₁₃×#533	C₂²	semidirect
30. C₁₃×#533	C₂²	semidirect
31. C₁₃×#532	C₂²	semidirect
32. C₁₃×#532	C₂²	semidirect
33. C₁₃×#532	C₂²	semidirect
34. C₁₃×#529	C₂²	semidirect
35. C₁₃×#529	C₂²	semidirect
36. C₁₃×#529	C₂²	semidirect
37. C₁₃×#529	C₂²	semidirect
38. C₁₃×#529	C₂²	semidirect
39. C₁₃×#529	C₂²	semidirect
40. C₁₃×#525	C₂²	semidirect
41. C₁₃×#525	C₂²	semidirect
42. C₁₃×#525	C₂²	semidirect
43. C₄×C₁₃×#41	C₂²	semidirect
44. C₄×C₁₃×#41	C₂²	semidirect
45. C₄×C₁₃×#41	C₂²	semidirect
46. C₂²×C₄²×C₁₃	C₂²	semidirect
47. #11719538	C₂²	semidirect
48. #11719537	C₂²	semidirect
49. #11719535	C₂²	semidirect
50. #11719534	C₂²	semidirect
52. C₂×#88184	C₂²	semidirect
53. C₂×#88184	C₂²	semidirect
54. C₂×#88183	C₂²	semidirect
55. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
56. C₂×#88178	C₂²	semidirect
57. #11719438	C₂²	semidirect
58. #11719438	C₂²	semidirect
59. #11719429	C₂²	semidirect
60. #11719420	C₂²	semidirect
61. #11719417	C₂²	semidirect
62. #11719416	C₂²	semidirect
63. #11719412	C₂²	semidirect
64. #11719409	C₂²	semidirect
65. #11719405	C₂²	semidirect
66. #11719404	C₂²	semidirect
67. #11719403	C₂²	semidirect
68. #11719402	C₂²	semidirect
69. #11719397	C₂²	semidirect
70. #11719389	C₂²	semidirect
71. #11719388	C₂²	semidirect
72. #11719383	C₂²	semidirect
73. #11719380	C₂²	semidirect
74. #11719379	C₂²	semidirect
75. #11719372	C₂²	semidirect
76. #11719371	C₂²	semidirect
77. #11719370	C₂²	semidirect
78. #11719360	C₂²	semidirect
79. #11719359	C₂²	semidirect
80. #11719358	C₂²	semidirect
81. #11719352	C₂²	semidirect
82. #11719350	C₂²	semidirect
83. #11719350	C₂²	semidirect
84. #11719349	C₂²	semidirect
85. #11719349	C₂²	semidirect
86. #11719349	C₂²	semidirect
87. #11719339	C₂²	semidirect
88. #11719338	C₂²	semidirect
89. #11719337	C₂²	semidirect
90. #11719336	C₂²	semidirect
91. #11719335	C₂²	semidirect
92. #11719325	C₂²	semidirect
93. #11719322	C₂²	semidirect
94. #11719317	C₂²	semidirect
95. #11719314	C₂²	semidirect
96. #11719310	C₂²	semidirect
97. #11719310	C₂²	semidirect
98. #11719310	C₂²	semidirect
99. #11719304	C₂²	semidirect
100. #11719303	C₂²	semidirect
101. #11719302	C₂²	semidirect
102. #11719302	C₂²	semidirect
103. #11719296	C₂²	semidirect
104. #11719295	C₂²	semidirect
105. #11719290	C₂²	semidirect
106. #11719290	C₂²	semidirect
107. #11719287	C₂²	semidirect
108. #11719285	C₂²	semidirect
109. #11719285	C₂²	semidirect
110. #11719284	C₂²	semidirect
111. #11719282	C₂²	semidirect
112. #11719281	C₂²	semidirect
113. Q₈×D₅₂	C₂²	semidirect
114. #11719273	C₂²	semidirect
115. #11719272	C₂²	semidirect
116. #11719270	C₂²	semidirect
117. #11719270	C₂²	semidirect
118. #11719270	C₂²	semidirect
119. #11719267	C₂²	semidirect
120. #11719265	C₂²	semidirect
121. #11719265	C₂²	semidirect
122. #11719264	C₂²	semidirect
123. #11719260	C₂²	semidirect
124. #11719260	C₂²	semidirect
125. #11719259	C₂²	semidirect
126. #11719259	C₂²	semidirect
127. #11719258	C₂²	semidirect
128. #11719257	C₂²	semidirect
129. #11719255	C₂²	semidirect
130. #11719255	C₂²	semidirect
131. D₄×D₅₂	C₂²	semidirect
132. D₄×D₅₂	C₂²	semidirect
133. D₄×D₅₂	C₂²	semidirect
134. #11719253	C₂²	semidirect
135. #11719252	C₂²	semidirect
136. #11719252	C₂²	semidirect
137. #11719252	C₂²	semidirect
138. #11719252	C₂²	semidirect
139. C₄×D₄×D₁₃	C₂²	semidirect
140. #11719248	C₂²	semidirect
141. #11719247	C₂²	semidirect
142. #11719245	C₂²	semidirect
143. #11719240	C₂²	semidirect
144. #11719240	C₂²	semidirect
145. #11719239	C₂²	semidirect
146. #11719239	C₂²	semidirect
147. #11719235	C₂²	semidirect
148. #11719233	C₂²	semidirect
149. #11719232	C₂²	semidirect
150. #11719232	C₂²	semidirect
151. #11719230	C₂²	semidirect
152. #11719229	C₂²	semidirect
153. #11719229	C₂²	semidirect
154. #11719227	C₂²	semidirect
155. #11719224	C₂²	semidirect
156. #11719184	C₂²	semidirect
157. #11719184	C₂²	semidirect
158. #11719184	C₂²	semidirect
159. #11719184	C₂²	semidirect
160. #11719184	C₂²	semidirect
161. #11719184	C₂²	semidirect
162. #11719184	C₂²	semidirect
163. #11719184	C₂²	semidirect
164. #11719184	C₂²	semidirect
165. C₂×#88130	C₂²	semidirect
166. #11719182	C₂²	semidirect
167. #11719182	C₂²	semidirect
168. #11719182	C₂²	semidirect
169. #11719182	C₂²	semidirect
170. #11719182	C₂²	semidirect
171. #11719182	C₂²	semidirect
172. #11719182	C₂²	semidirect
173. #11719182	C₂²	semidirect
174. #11719182	C₂²	semidirect
175. C₂×#88129	C₂²	semidirect
176. C₂×#88129	C₂²	semidirect
177. C₂×#88128	C₂²	semidirect
178. C₄×#6127	C₂²	semidirect
179. C₂×C₄×D₅₂	C₂²	semidirect
180. C₂×C₄×D₅₂	C₂²	semidirect
181. C₂×C₄×D₅₂	C₂²	semidirect
182. C₂×C₄×D₅₂	C₂²	semidirect
183. C₂×#88126	C₂²	semidirect
184. C₂×#88124	C₂²	semidirect
185. C₂×#88123	C₂²	semidirect
186. C₂×C₄×Dic₂₆	C₂²	semidirect
709. #3444	D₁₃	semidirect
908. #533	C₂×D₁₃	semidirect
909. #533	C₂×D₁₃	semidirect
910. #533	C₂×D₁₃	semidirect
922. #532	C₂×D₁₃	semidirect
923. #532	C₂×D₁₃	semidirect
924. #532	C₂×D₁₃	semidirect
939. #529	C₂×D₁₃	semidirect
940. #529	C₂×D₁₃	semidirect
941. #529	C₂×D₁₃	semidirect
942. #529	C₂×D₁₃	semidirect
943. #529	C₂×D₁₃	semidirect
944. #529	C₂×D₁₃	semidirect
955. #525	C₂×D₁₃	semidirect
956. #525	C₂×D₁₃	semidirect
957. #525	C₂×D₁₃	semidirect
965. C₄×#41	C₂×D₁₃	semidirect
966. C₄×#41	C₂×D₁₃	semidirect
967. C₄×#41	C₂×D₁₃	semidirect
976. C₂²×C₄²	C₂×D₁₃	semidirect
1527. C₁₃	#62748	semidirect

Maximal subgroups

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

subgroup	index
#13129416	2
#13129401	2
#13129382	2
#13129367	2
#13129359	2
#13129352	2
#13129307	2
#13129273	2
#13129208	2
#13129166	2
#13129075	2
#13129063	2
#13129020	2
#13128975	2
#13128446	2
#13128429	2
#41×D₅₂	2
#13128319	2
#13128252	2
#13128246	2
#13128228	2
#13128163	2
C₂×#11719182	2
C₂×#11719184	2
C₁₃×#3444	2
#62748	13