Subgroups — #16727170

Order 3328.

2734 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719475	C₂	1	1	yes	maximal, characteristic
2	C₄×#88257	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#88256	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123712	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123708	C₂	1	2	yes	maximal, complemented
6	#13123694	C₂	1	1	yes	maximal, characteristic, complemented
7	#13123692	C₂	1	2	yes	maximal, complemented
8	#13123682	C₂	1	1	yes	maximal, characteristic, complemented
9	#13123678	C₂	1	2	yes	maximal, complemented
10	#13123671	C₂	1	1	yes	maximal, characteristic, complemented
11	#13123665	C₂	1	2	yes	maximal, complemented
12	C₄×#88205	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123652	C₂	1	2	yes	maximal, complemented
14	#13123647	C₂	1	2	yes	maximal, complemented
15	C₄×#88203	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123631	C₂	1	2	yes	maximal, complemented
17	C₂×#11718371	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#440	C₂	1	2	yes	maximal, complemented
19	#13123433	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123365	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123358	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123261	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#88257	C₂²	1	1	yes	characteristic
25	C₂×#88256	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
28	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
29	#11719532	C₂²	1	1	yes	characteristic
30	#11719532	C₂²	1	1	yes	characteristic, complemented
31	C₂×#88205	C₂²	1	1	yes	characteristic
32	C₂×#88203	C₂²	1	1	yes	characteristic
33	#11719475	C₄	1	16	yes	complemented
34	C₂×#88172	C₂²	1	2	yes	—
35	C₂×#88170	C₂²	1	2	yes	—
36	C₂×SD₁₆×D₁₃	C₂²	1	2	yes	—
37	C₂×#88165	C₂²	1	2	yes	—
38	C₂²×#6095	C₂²	1	1	yes	characteristic
39	C₂×#88155	C₂²	1	1	yes	characteristic
40	C₂×#88155	C₂²	1	1	yes	characteristic
41	#11719279	C₂²	1	2	yes	—
42	C₄×#6131	C₂²	1	2	yes	—
43	#11719277	C₂²	1	2	yes	complemented
44	C₄×Q₈×D₁₃	C₂²	1	2	yes	complemented
45	#11719251	—	2	2	no	—
46	#11719251	C₂²	1	2	yes	complemented
47	#11719250	—	2	2	no	—
48	#11719250	C₂²	1	2	yes	—
49	C₄×D₄×D₁₃	—	2	2	no	—
50	C₄×D₄×D₁₃	C₂²	1	2	yes	—
51	C₄×#6129	—	2	2	no	—
52	C₄×#6129	C₂²	1	2	yes	complemented
53	#11719228	—	2	1	no	—
54	#11719228	—	2	1	no	—
55	#11719228	C₂²	1	1	yes	characteristic
56	#11719228	C₂²	1	1	yes	characteristic
57	#11719226	—	2	1	no	—
58	#11719226	C₂²	1	1	yes	characteristic
59	#11719221	—	2	1	no	—
60	#11719221	C₂²	1	1	yes	characteristic, complemented
61	C₄×#6127	—	2	1	no	—
62	C₄×#6127	—	2	1	no	—
63	C₄×#6127	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₅₂	—	2	1	no	—
65	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
66	C₂×C₄×Dic₂₆	—	2	1	no	—
67	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#416	C₂²	1	1	yes	characteristic
78	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
80	#11718893	C₂²	1	1	yes	characteristic
81	#11718893	C₂²	1	1	yes	characteristic, complemented
82	Q₁₆×Dic₁₃	C₂²	1	2	yes	complemented
83	#11718825	C₂²	1	2	yes	complemented
84	#11718825	C₂²	1	2	yes	complemented
85	D₈×Dic₁₃	C₂²	1	2	yes	complemented
86	C₂×#88061	C₂²	1	1	yes	characteristic
87	C₂×#88058	C₂²	1	1	yes	characteristic, complemented
88	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
89	#11718762	C₂²	1	1	yes	characteristic, complemented
90	#11718762	C₂²	1	1	yes	characteristic, complemented
91	#11718691	C₂²	1	2	yes	complemented
92	C₄×#6107	C₂²	1	2	yes	complemented
93	#11718687	C₂²	1	2	yes	complemented
94	C₄×#6106	C₂²	1	2	yes	complemented
95	#11718679	C₂²	1	2	yes	complemented
96	C₄×#6105	C₂²	1	2	yes	complemented
97	#11718675	C₂²	1	2	yes	complemented
98	C₄×#6104	C₂²	1	2	yes	complemented
99	#11718665	C₂²	1	1	yes	characteristic, complemented
100	#11718662	C₂²	1	1	yes	characteristic
101	#11718656	C₂²	1	1	yes	characteristic, complemented
102	#11718656	C₂²	1	1	yes	characteristic, complemented
103	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
104	#11718550	C₂²	1	2	yes	complemented
105	#11718550	C₂²	1	2	yes	complemented
106	#11718541	C₂²	1	2	yes	complemented
107	D₁₃×#107	C₂²	1	2	yes	complemented
108	#11718522	C₂²	1	2	yes	complemented
109	#11718522	C₂²	1	2	yes	complemented
110	#11718513	C₂²	1	2	yes	complemented
111	#11718513	C₂²	1	2	yes	complemented
112	#11718478	C₂²	1	2	yes	complemented
113	#11718465	C₂²	1	2	yes	—
114	#11718464	C₂²	1	2	yes	—
115	#11718463	C₂²	1	2	yes	complemented
116	D₁₃×#103	C₂²	1	2	yes	complemented
117	#11718451	C₂²	1	2	yes	complemented
118	#11718450	C₂²	1	2	yes	complemented
119	#11718449	C₂²	1	2	yes	complemented
120	#11718446	C₂²	1	2	yes	complemented
121	#11718433	C₂²	1	2	yes	complemented
122	#11718432	C₂²	1	2	yes	complemented
123	#11718431	C₂²	1	2	yes	—
124	D₁₃×#102	C₂²	1	2	yes	—
125	#11718419	C₂²	1	2	yes	complemented
126	#11718418	C₂²	1	2	yes	complemented
127	#11718417	C₂²	1	2	yes	complemented
128	#11718371	C₂²	1	2	yes	complemented
129	#11718371	C₂²	1	2	yes	complemented
130	#11718371	C₂²	1	2	yes	complemented
131	#11718371	C₂²	1	2	yes	complemented
132	#11718369	C₂²	1	2	yes	complemented
133	#11718369	C₂²	1	2	yes	complemented
134	#11718368	C₂²	1	2	yes	complemented
135	D₁₃×#97	C₂²	1	2	yes	complemented
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	#88257	—	2	4	no	—
139	#88257	C₂×C₄	1	8	yes	complemented
140	#88256	—	2	4	no	—
141	#88256	C₂×C₄	1	8	yes	complemented
142	C₂×#6131	C₂³	1	2	yes	—
143	C₂×Q₈×D₁₃	C₂³	1	2	yes	—
144	C₂×#6129	—	2	2	no	—
145	C₂×#6129	C₂³	1	2	yes	—
146	C₂×D₄×D₁₃	—	2	2	no	—
147	C₂×D₄×D₁₃	C₂³	1	2	yes	—
148	C₂×#6127	—	2	1	no	—
149	C₂×#6127	—	2	1	no	—
150	C₂×#6127	C₂³	1	1	yes	characteristic
151	C₂²×D₅₂	—	2	1	no	—
152	C₂²×D₅₂	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₁₃	—	2	1	no	—
154	C₂²×C₄×D₁₃	—	2	2	no	—
155	C₂²×Dic₂₆	—	2	1	no	—
156	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
157	C₁₃×#135	C₂×C₄	1	8	yes	complemented
158	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
164	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
165	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
167	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₄×D₄×C₁₃	—	2	1	no	—
169	C₄×D₄×C₁₃	—	2	1	no	—
170	C₄×D₄×C₁₃	—	2	1	no	—
171	C₄×D₄×C₁₃	—	2	1	no	—
172	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
174	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
176	C₁₃×#117	—	2	1	no	—
177	C₁₃×#117	—	2	1	no	—
178	C₁₃×#117	C₂³	1	1	yes	characteristic
179	C₁₃×#117	C₂³	1	1	yes	characteristic
180	C₂×C₄²×C₁₃	—	2	1	no	—
181	C₂×C₄²×C₁₃	—	2	1	no	—
182	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
183	#88205	C₂×C₄	1	8	yes	complemented
184	#88203	C₂×C₄	1	8	yes	complemented
185	Q₈×Dic₁₃	C₂³	1	2	yes	—
186	Q₈×Dic₁₃	C₂³	1	2	yes	—
187	C₂×#6107	C₂³	1	2	yes	—
188	C₂×#6106	C₂³	1	2	yes	—
189	D₄×Dic₁₃	—	2	2	no	—
190	D₄×Dic₁₃	—	2	2	no	—
191	D₄×Dic₁₃	C₂³	1	2	yes	—
192	D₄×Dic₁₃	C₂³	1	2	yes	—
193	C₂×#6105	C₂³	1	2	yes	—
194	C₂×#6104	C₂³	1	2	yes	—
195	C₄×C₂²⋊D₁₃	—	2	2	no	—
196	C₄×C₂²⋊D₁₃	—	2	2	no	—
197	C₄×C₂²⋊D₁₃	—	2	2	no	—
198	C₄×C₂²⋊D₁₃	—	2	2	no	—
199	C₄×C₂²⋊D₁₃	D₄	1	2	yes	—
200	C₄×C₂²⋊D₁₃	D₄	1	2	yes	—
201	C₂×#6103	—	2	1	no	—
202	C₂×#6103	—	2	2	no	—
203	#88180	—	2	1	no	—
204	#88180	—	2	1	no	—
205	#88180	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₁₃	—	2	1	no	—
207	C₂×C₄⋊Dic₁₃	—	2	1	no	—
208	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
210	C₂×#6101	—	2	1	no	—
211	C₂×#6101	—	2	2	no	—
212	C₂×C₄×Dic₁₃	—	2	1	no	—
213	C₂×C₄×Dic₁₃	—	2	2	no	—
214	C₂×#6099	C₂³	1	1	yes	characteristic
215	C₂×#6099	C₂³	1	1	yes	characteristic
216	#88172	C₂×C₄	1	16	yes	complemented
217	#88170	C₂×C₄	1	16	yes	complemented
218	SD₁₆×D₁₃	C₂×C₄	1	16	yes	complemented
219	#88165	C₂×C₄	1	16	yes	complemented
220	C₂×#6095	C₂×C₄	1	8	yes	complemented
221	C₂×#6095	C₂³	1	2	yes	—
222	C₂×#6095	C₂³	1	2	yes	—
223	#88155	—	2	4	no	—
224	#88155	C₂×C₄	1	8	yes	complemented
225	C₂×#6094	C₂³	1	2	yes	—
226	C₂×#6094	C₂³	1	2	yes	—
227	C₂×C₈×D₁₃	C₂³	1	2	yes	—
228	C₂×C₈×D₁₃	C₂³	1	2	yes	—
229	#88147	—	2	2	no	—
230	#88147	—	2	2	no	—
231	#88147	C₂³	1	2	yes	—
232	#88147	C₂³	1	2	yes	—
233	#88146	—	2	2	no	—
234	#88146	—	2	2	no	—
235	#88146	C₂³	1	2	yes	—
236	#88146	C₂³	1	2	yes	—
237	C₄⋊C₄×D₁₃	—	2	2	no	—
238	C₄⋊C₄×D₁₃	—	2	2	no	—
239	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
240	C₄⋊C₄×D₁₃	C₂³	1	2	yes	—
241	#88141	—	2	2	no	—
242	#88141	—	2	2	no	—
243	#88141	C₂³	1	2	yes	—
244	#88141	C₂³	1	2	yes	—
245	#88135	—	2	2	no	—
246	#88135	—	2	2	no	—
247	#88135	—	2	2	no	—
248	#88135	—	2	2	no	—
249	#88135	—	2	2	no	—
250	#88135	—	2	2	no	—
251	C₂²⋊C₄×D₁₃	—	2	2	no	—
252	C₂²⋊C₄×D₁₃	—	2	2	no	—
253	C₂²⋊C₄×D₁₃	—	2	2	no	—
254	#88131	—	2	2	no	—
255	#88131	—	2	2	no	—
256	#88131	—	2	2	no	—
257	C₄×D₅₂	—	2	1	no	—
258	C₄×D₅₂	—	2	1	no	—
259	C₄×D₅₂	—	2	2	no	—
260	C₄×D₅₂	—	2	1	no	—
261	C₄×D₅₂	—	2	1	no	—
262	C₄×D₅₂	—	2	2	no	—
263	C₄×D₅₂	—	2	1	no	—
264	C₄×D₅₂	—	2	1	no	—
265	C₄×D₅₂	D₄	1	1	yes	characteristic
266	C₄×D₅₂	D₄	1	1	yes	characteristic
267	C₄×D₅₂	C₂³	1	2	yes	—
268	C₄×D₅₂	C₂³	1	2	yes	—
269	#88126	—	2	2	no	—
270	#88126	—	2	2	no	—
271	#88126	C₂³	1	2	yes	—
272	C₄²×D₁₃	—	2	2	no	—
273	C₄²×D₁₃	—	2	2	no	—
274	C₄²×D₁₃	C₂³	1	2	yes	—
275	C₄×Dic₂₆	—	2	1	no	—
276	C₄×Dic₂₆	—	2	1	no	—
277	C₄×Dic₂₆	—	2	1	no	—
278	C₄×Dic₂₆	—	2	1	no	—
279	C₄×Dic₂₆	—	2	1	no	—
280	C₄×Dic₂₆	—	2	1	no	—
281	C₄×Dic₂₆	—	2	2	no	—
282	C₄×Dic₂₆	—	2	2	no	—
283	C₄×Dic₂₆	D₄	1	1	yes	characteristic
284	C₄×Dic₂₆	D₄	1	1	yes	characteristic
285	C₄×Dic₂₆	C₂³	1	2	yes	—
286	C₄×Dic₂₆	C₂³	1	2	yes	—
287	C₁₃×#107	C₂³	1	1	yes	characteristic
288	C₁₃×#107	C₂³	1	1	yes	characteristic
289	C₁₃×#106	C₂³	1	1	yes	characteristic
290	C₁₃×#106	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#97	C₂³	1	1	yes	characteristic
300	C₁₃×#97	C₂³	1	1	yes	characteristic
301	C₁₃×#97	C₂³	1	1	yes	characteristic
302	C₁₃×#97	C₂³	1	1	yes	characteristic
303	#88075	C₂³	1	2	yes	—
304	#88075	C₂³	1	2	yes	—
305	#88072	C₂³	1	2	yes	—
306	#88072	C₂³	1	2	yes	—
307	#88061	C₂³	1	2	yes	—
308	#88061	C₂³	1	2	yes	—
309	#88058	C₂³	1	2	yes	—
310	#88058	C₂³	1	2	yes	—
311	#88056	C₂³	1	2	yes	—
312	#88056	C₂³	1	2	yes	—
313	#88055	C₂³	1	2	yes	—
314	#88055	C₂³	1	2	yes	—
315	C₈×Dic₁₃	C₂³	1	2	yes	—
316	C₈×Dic₁₃	C₂³	1	2	yes	—
317	#88050	C₂³	1	2	yes	—
318	#88050	C₂³	1	2	yes	—
319	#88049	C₂³	1	2	yes	—
320	#88049	C₂³	1	2	yes	—
321	#88048	C₂³	1	2	yes	—
322	#88048	C₂³	1	2	yes	—
323	#88047	C₂³	1	2	yes	—
324	#88047	C₂³	1	2	yes	—
325	#88043	C₂³	1	2	yes	—
326	C₄×#1055	C₂³	1	2	yes	—
327	#60174	—	13	1	no	maximal, Sylow
328	C₂³×D₁₃	—	2	1	no	—
329	C₂³×D₁₃	—	2	2	no	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	2	no	—
332	C₁₃×#41	C₂²×C₄	1	4	yes	—
333	C₁₃×#41	C₂²×C₄	1	4	yes	complemented
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃	—	2	1	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₂²⋊D₁₃	—	2	2	no	—
350	C₂×C₂²⋊D₁₃	—	2	2	no	—
351	C₂×C₂²⋊D₁₃	C₂×D₄	1	2	yes	—
352	C₂²×Dic₁₃	—	2	1	no	—
353	C₂²×Dic₁₃	—	2	2	no	—
354	C₂²×Dic₁₃	—	2	1	no	—
355	C₂²×Dic₁₃	—	2	1	no	—
356	C₂²×Dic₁₃	—	2	2	no	—
357	C₂²×Dic₁₃	—	2	2	no	—
358	#6131	—	2	4	no	—
359	#6131	C₂²×C₄	1	8	yes	—
360	Q₈×D₁₃	—	2	4	no	—
361	Q₈×D₁₃	C₂²×C₄	1	8	yes	complemented
362	#6129	—	2	16	no	—
363	#6129	—	2	4	no	—
364	#6129	C₂²×C₄	1	8	yes	complemented
365	D₄×D₁₃	—	2	16	no	—
366	D₄×D₁₃	—	2	4	no	—
367	D₄×D₁₃	C₂²×C₄	1	8	yes	—
368	#6127	—	2	8	no	—
369	#6127	—	2	8	no	—
370	#6127	C₂²×C₄	1	4	yes	—
371	#6127	#41	1	4	yes	—
372	C₂×D₅₂	—	2	2	no	—
373	C₂×D₅₂	—	2	1	no	—
374	C₂×D₅₂	—	2	2	no	—
375	C₂×D₅₂	—	2	8	no	—
376	C₂×D₅₂	C₂²×C₄	1	4	yes	—
377	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
378	C₂×D₅₂	C₂⁴	1	2	yes	—
379	C₂×C₄×D₁₃	—	2	2	no	—
380	C₂×C₄×D₁₃	—	2	2	no	—
381	C₂×C₄×D₁₃	—	2	2	no	—
382	C₂×C₄×D₁₃	—	2	2	no	—
383	C₂×C₄×D₁₃	—	2	2	no	—
384	C₂×C₄×D₁₃	—	2	2	no	—
385	C₂×C₄×D₁₃	—	2	2	no	—
386	C₂×C₄×D₁₃	—	2	2	no	—
387	C₂×C₄×D₁₃	—	8	4	no	—
388	C₂×C₄×D₁₃	—	8	2	no	—
389	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
390	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
391	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
392	C₂×Dic₂₆	—	2	1	no	—
393	C₂×Dic₂₆	—	2	2	no	—
394	C₂×Dic₂₆	—	2	2	no	—
395	C₂×Dic₂₆	—	2	8	no	—
396	C₂×Dic₂₆	C₂²×C₄	1	4	yes	complemented
397	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
398	C₂×Dic₂₆	C₂⁴	1	2	yes	—
399	C₁₃×Q₁₆	C₂²×C₄	1	4	yes	complemented
400	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	complemented
401	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	complemented
402	C₁₃×D₈	C₂²×C₄	1	4	yes	complemented
403	C₂×C₈×C₁₃	—	2	2	no	—
404	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	complemented
405	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₄²×C₁₃	—	2	1	no	—
424	C₄²×C₁₃	—	2	1	no	—
425	C₄²×C₁₃	—	2	1	no	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	1	no	—
428	C₄²×C₁₃	—	2	1	no	—
429	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
430	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
431	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²⋊Dic₁₃	—	2	2	no	—
434	C₂²⋊Dic₁₃	—	2	2	no	—
435	C₂²⋊Dic₁₃	C₂×D₄	1	2	yes	—
436	#6107	C₂²×C₄	1	8	yes	complemented
437	#6106	C₂²×C₄	1	8	yes	complemented
438	#6105	C₂²×C₄	1	8	yes	complemented
439	#6104	C₂²×C₄	1	8	yes	complemented
440	#6103	—	2	2	no	—
441	#6103	—	2	2	no	—
442	#6103	—	2	2	no	—
443	#6103	—	2	2	no	—
444	#6103	—	2	2	no	—
445	#6103	—	2	2	no	—
446	#6103	C₂×D₄	1	2	yes	—
447	#6103	C₂×D₄	1	2	yes	—
448	C₄⋊Dic₁₃	—	2	1	no	—
449	C₄⋊Dic₁₃	—	2	1	no	—
450	C₄⋊Dic₁₃	—	2	2	no	—
451	C₄⋊Dic₁₃	—	2	2	no	—
452	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
454	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
455	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
456	#6101	—	2	2	no	—
457	#6101	—	2	2	no	—
458	#6101	—	2	2	no	—
459	#6101	—	2	2	no	—
460	#6101	—	2	2	no	—
461	#6101	—	2	2	no	—
462	#6101	C₂×D₄	1	2	yes	—
463	#6101	C₂×D₄	1	2	yes	—
464	C₄×Dic₁₃	—	2	2	no	—
465	C₄×Dic₁₃	—	2	2	no	—
466	C₄×Dic₁₃	—	2	2	no	—
467	C₄×Dic₁₃	—	2	2	no	—
468	C₄×Dic₁₃	—	2	2	no	—
469	C₄×Dic₁₃	—	2	2	no	—
470	C₄×Dic₁₃	—	2	2	no	—
471	C₄×Dic₁₃	—	2	2	no	—
472	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
473	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
474	C₄×Dic₁₃	C₂⁴	1	2	yes	—
475	#6099	—	2	2	no	—
476	#6099	C₂²×C₄	1	4	yes	complemented
477	C₂×#1055	C₂⁴	1	2	yes	—
478	C₂×#1055	C₂⁴	1	2	yes	—
479	#6095	C₂²×C₄	1	8	yes	complemented
480	#6095	C₂²×C₄	1	8	yes	complemented
481	#6094	—	2	4	no	—
482	#6094	C₂²×C₄	1	8	yes	complemented
483	C₈×D₁₃	—	2	4	no	—
484	C₈×D₁₃	C₂²×C₄	1	8	yes	complemented
485	C₂×#577	—	13	1	no	—
486	C₄×2₋¹⁺⁴	—	13	1	no	—
487	C₄×H(5,𝔽₂)	—	13	1	no	—
488	#2951	—	13	2	no	—
489	#2951	—	13	1	no	—
490	#2949	—	13	2	no	—
491	#2949	—	13	1	no	—
492	#2947	—	13	2	no	—
493	#2947	—	13	1	no	—
494	#2946	—	13	2	no	—
495	#2946	—	13	1	no	—
496	C₄×#137	—	13	2	no	—
497	C₄×#137	—	13	1	no	—
498	C₄×AGL(1,ℤ/8)	—	13	2	no	—
499	C₄×AGL(1,ℤ/8)	—	13	1	no	—
500	#2943	—	13	2	no	—
501	#2943	D₁₃	1	1	yes	characteristic, complemented
502	C₂×#440	—	13	2	no	—
503	C₂×#440	—	13	1	no	—
504	#2913	—	13	1	no	—
505	#2898	—	13	1	no	—
506	#2897	—	13	1	no	—
507	#2875	—	13	1	no	—
508	C₂³×C₁₃	—	2	1	no	—
509	C₂³×C₁₃	—	2	1	no	—
510	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
511	C₂²×D₁₃	—	2	2	no	—
512	C₂²×D₁₃	—	2	4	no	—
513	C₂²×D₁₃	—	2	8	no	—
514	C₂²×D₁₃	—	8	2	no	—
515	C₂²×D₁₃	—	8	2	no	—
516	C₂²×D₁₃	—	8	1	no	—
517	C₂²×D₁₃	—	8	1	no	—
518	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
519	Q₈×C₁₃	—	2	1	no	—
520	Q₈×C₁₃	—	2	1	no	—
521	Q₈×C₁₃	C₂³×C₄	1	2	yes	—
522	Q₈×C₁₃	C₂³×C₄	1	2	yes	—
523	D₄×C₁₃	—	2	4	no	—
524	D₄×C₁₃	—	2	4	no	—
525	D₄×C₁₃	—	2	1	no	—
526	D₄×C₁₃	—	2	1	no	—
527	D₄×C₁₃	C₂³×C₄	1	2	yes	—
528	D₄×C₁₃	C₂³×C₄	1	2	yes	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	4	no	—
532	C₂×C₄×C₁₃	—	2	4	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	4	1	no	—
538	C₂×C₄×C₁₃	—	4	1	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	8	1	no	—
542	C₂×C₄×C₁₃	—	8	1	no	—
543	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
550	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
551	C₂²⋊D₁₃	—	2	8	no	—
552	C₂²⋊D₁₃	—	2	8	no	—
553	C₂²⋊D₁₃	C₄×D₄	1	8	yes	—
554	C₂×Dic₁₃	—	2	4	no	—
555	C₂×Dic₁₃	—	2	2	no	—
556	C₂×Dic₁₃	—	2	8	no	—
557	C₂×Dic₁₃	—	2	2	no	—
558	C₂×Dic₁₃	—	2	2	no	—
559	C₂×Dic₁₃	—	8	2	no	—
560	C₂×Dic₁₃	—	8	2	no	—
561	C₂×Dic₁₃	—	8	1	no	—
562	C₂×Dic₁₃	—	8	1	no	—
563	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
564	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
565	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
566	D₅₂	—	2	8	no	—
567	D₅₂	—	2	4	no	—
568	D₅₂	—	2	2	no	—
569	D₅₂	C₄×D₄	1	4	yes	—
570	D₅₂	C₂³×C₄	1	4	yes	—
571	C₄×D₁₃	—	2	8	no	—
572	C₄×D₁₃	—	2	8	no	—
573	C₄×D₁₃	—	4	2	no	—
574	C₄×D₁₃	—	4	2	no	—
575	C₄×D₁₃	—	4	4	no	—
576	C₄×D₁₃	—	8	2	no	—
577	C₄×D₁₃	—	8	2	no	—
578	C₄×D₁₃	—	8	2	no	—
579	C₄×D₁₃	—	8	2	no	—
580	C₄×D₁₃	—	8	2	no	—
581	C₄×D₁₃	C₂³×C₄	1	4	yes	—
582	C₄×D₁₃	C₂×#41	1	4	yes	—
583	Dic₂₆	—	2	4	no	—
584	Dic₂₆	—	2	2	no	—
585	Dic₂₆	—	2	8	no	—
586	Dic₂₆	C₄×D₄	1	4	yes	—
587	Dic₂₆	C₂³×C₄	1	4	yes	—
588	C₈×C₁₃	—	2	1	no	—
589	C₈×C₁₃	—	2	1	no	—
590	C₈×C₁₃	C₂³×C₄	1	2	yes	—
591	C₈×C₁₃	C₂³×C₄	1	2	yes	—
592	#1055	—	2	2	no	—
593	#1055	C₂³×C₄	1	4	yes	—
594	C₂×2₋¹⁺⁴	—	13	1	no	—
595	C₂×H(5,𝔽₂)	—	13	1	no	—
596	#577	—	13	16	no	—
597	C₂×#137	—	13	1	no	—
598	C₂×#137	—	13	2	no	—
599	C₂×AGL(1,ℤ/8)	—	13	1	no	—
600	C₂×AGL(1,ℤ/8)	—	13	2	no	—
601	C₂×#135	—	13	2	no	—
602	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
603	C₂²×SD₁₆	—	13	2	no	—
604	C₂²×SD₁₆	—	13	1	no	—
605	C₂×#131	—	13	1	no	—
606	C₂×#131	—	13	1	no	—
607	#520	—	13	1	no	—
608	#520	—	13	1	no	—
609	#520	—	13	1	no	—
610	#520	—	13	1	no	—
611	#520	—	13	2	no	—
612	#520	—	13	2	no	—
613	#520	—	26	1	no	—
614	#520	—	26	1	no	—
615	#520	—	26	2	no	—
616	#519	—	13	2	no	—
617	#519	—	13	1	no	—
618	#519	—	26	1	no	—
619	#518	—	13	2	no	—
620	#518	—	13	1	no	—
621	#518	—	26	1	no	—
622	#518	—	26	2	no	—
623	C₄×#41	—	13	1	no	—
624	C₄×#41	—	13	2	no	—
625	C₄×#41	—	13	2	no	—
626	C₄×#41	—	26	1	no	—
627	C₄×#41	—	26	1	no	—
628	C₄×#41	—	26	2	no	—
629	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
630	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
631	C₂×C₄×Q₈	—	13	2	no	—
632	C₂×C₄×Q₈	—	13	1	no	—
633	C₂×C₄×Q₈	—	26	1	no	—
634	C₂×C₄×D₄	—	13	2	no	—
635	C₂×C₄×D₄	—	13	1	no	—
636	C₂×C₄×D₄	—	26	1	no	—
637	C₂×C₄×D₄	—	26	2	no	—
638	#442	—	13	2	no	—
639	#442	—	13	2	no	—
640	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
641	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
642	#441	—	13	2	no	—
643	#441	—	13	2	no	—
644	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
645	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
646	#440	—	13	2	no	—
647	#440	—	13	2	no	—
648	#440	—	13	2	no	—
649	#440	—	13	2	no	—
650	#440	—	13	2	no	—
651	#440	—	13	2	no	—
652	#440	—	13	2	no	—
653	#440	—	13	2	no	—
654	#440	—	13	2	no	—
655	#440	—	13	2	no	—
656	#440	—	13	2	no	—
657	#440	—	13	2	no	—
658	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
659	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
660	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
661	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
662	C₄×Q₁₆	—	13	2	no	—
663	C₄×Q₁₆	—	13	2	no	—
664	C₄×Q₁₆	—	13	2	no	—
665	C₄×SD₁₆	—	13	2	no	—
666	C₄×SD₁₆	—	13	2	no	—
667	C₄×SD₁₆	—	13	2	no	—
668	C₄×SD₁₆	—	13	2	no	—
669	C₄×SD₁₆	—	13	2	no	—
670	C₄×SD₁₆	—	13	2	no	—
671	C₄×D₈	—	13	2	no	—
672	C₄×D₈	—	13	2	no	—
673	C₄×D₈	—	13	2	no	—
674	#428	—	13	1	no	—
675	#428	—	13	1	no	—
676	#428	—	13	2	no	—
677	#428	—	13	2	no	—
678	#427	—	13	2	no	—
679	#427	C₂×D₁₃	1	1	yes	characteristic, complemented
680	C₂×#107	—	13	1	no	—
681	C₂×#107	—	13	2	no	—
682	#419	—	13	1	no	—
683	#419	—	13	2	no	—
684	#418	—	13	1	no	—
685	#418	—	13	2	no	—
686	#417	—	13	1	no	—
687	#417	—	13	1	no	—
688	#417	—	13	2	no	—
689	#417	—	13	2	no	—
690	#416	—	13	2	no	—
691	#416	—	13	2	no	—
692	#416	C₂×D₁₃	1	1	yes	characteristic
693	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
694	C₂×#103	—	13	1	no	—
695	C₂×#103	—	13	2	no	—
696	C₂×#102	—	13	1	no	—
697	C₂×#102	—	13	2	no	—
698	#405	—	13	1	no	—
699	#405	—	13	1	no	—
700	#405	—	13	2	no	—
701	#405	—	13	2	no	—
702	C₄×M₁₆	—	13	1	no	—
703	C₄×M₁₆	—	13	2	no	—
704	C₂×#97	—	13	2	no	—
705	C₂×#97	C₂×D₁₃	1	1	yes	characteristic, complemented
706	C₂²×C₁₃	—	2	1	no	—
707	C₂²×C₁₃	—	2	1	no	—
708	C₂²×C₁₃	—	2	2	no	—
709	C₂²×C₁₃	—	2	2	no	—
710	C₂²×C₁₃	—	4	1	no	—
711	C₂²×C₁₃	—	4	1	no	—
712	C₂²×C₁₃	—	4	1	no	—
713	C₂²×C₁₃	—	4	1	no	—
714	C₂²×C₁₃	C₂×C₄×D₄	1	2	yes	—
715	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
716	C₂×D₁₃	—	2	2	no	—
717	C₂×D₁₃	—	2	2	no	—
718	C₂×D₁₃	—	2	4	no	—
719	C₂×D₁₃	—	4	2	no	—
720	C₂×D₁₃	—	4	2	no	—
721	C₂×D₁₃	—	8	8	no	—
722	C₂×D₁₃	—	8	4	no	—
723	C₂×D₁₃	C₂×C₄×D₄	1	4	yes	—
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	1	no	—
727	C₄×C₁₃	—	2	1	no	—
728	C₄×C₁₃	—	2	2	no	—
729	C₄×C₁₃	—	2	2	no	—
730	C₄×C₁₃	—	4	1	no	—
731	C₄×C₁₃	—	4	1	no	—
732	C₄×C₁₃	—	4	1	no	—
733	C₄×C₁₃	—	4	1	no	—
734	C₄×C₁₃	C₂×C₄×D₄	1	2	yes	—
735	C₄×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
736	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
737	Dic₁₃	—	2	2	no	—
738	Dic₁₃	—	2	2	no	—
739	Dic₁₃	—	2	4	no	—
740	Dic₁₃	—	4	2	no	—
741	Dic₁₃	—	4	2	no	—
742	Dic₁₃	C₂×C₄×D₄	1	4	yes	—
743	2₋¹⁺⁴	—	13	8	no	—
744	2₋¹⁺⁴	—	26	4	no	—
745	H(5,𝔽₂)	—	13	8	no	—
746	H(5,𝔽₂)	—	26	4	no	—
747	C₂×#41	—	13	1	no	—
748	C₂×#41	—	13	2	no	—
749	C₂×#41	—	13	2	no	—
750	C₂×#41	—	26	1	no	—
751	C₂×#41	—	26	1	no	—
752	C₂×#41	—	26	2	no	—
753	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
754	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
755	C₂²×Q₈	—	13	2	no	—
756	C₂²×Q₈	—	13	1	no	—
757	C₂²×Q₈	—	26	1	no	—
758	C₂²×D₄	—	13	2	no	—
759	C₂²×D₄	—	13	1	no	—
760	C₂²×D₄	—	26	1	no	—
761	C₂²×D₄	—	26	2	no	—
762	C₂³×C₄	—	26	2	no	—
763	C₂³×C₄	—	26	1	no	—
764	#137	—	13	8	no	—
765	#137	—	13	16	no	—
766	AGL(1,ℤ/8)	—	13	8	no	—
767	AGL(1,ℤ/8)	—	13	16	no	—
768	#135	—	13	16	no	—
769	#135	C₄×D₁₃	1	8	yes	complemented
770	C₂×Q₁₆	—	13	2	no	—
771	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
772	C₂×SD₁₆	—	13	2	no	—
773	C₂×SD₁₆	—	13	2	no	—
774	C₂×SD₁₆	—	13	16	no	—
775	C₂×SD₁₆	—	13	8	no	—
776	C₂×SD₁₆	—	13	2	no	—
777	C₂×SD₁₆	—	13	2	no	—
778	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
779	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
780	C₂×D₈	—	13	2	no	—
781	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
782	#131	—	13	8	no	—
783	#131	—	26	4	no	—
784	C₂×M₁₆	—	13	1	no	—
785	C₂×M₁₆	—	13	1	no	—
786	C₂×M₁₆	—	13	2	no	—
787	C₂×M₁₆	—	13	2	no	—
788	C₂²×C₈	—	13	2	no	—
789	C₂²×C₈	—	13	2	no	—
790	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
791	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
792	C₄×Q₈	—	13	1	no	—
793	C₄×Q₈	—	13	1	no	—
794	C₄×Q₈	—	13	2	no	—
795	C₄×Q₈	—	13	2	no	—
796	C₄×Q₈	—	13	2	no	—
797	C₄×Q₈	—	13	2	no	—
798	C₄×Q₈	—	13	2	no	—
799	C₄×Q₈	—	13	2	no	—
800	C₄×Q₈	—	26	2	no	—
801	C₄×Q₈	—	26	1	no	—
802	C₄×Q₈	—	26	2	no	—
803	C₄×Q₈	—	26	1	no	—
804	C₄×Q₈	—	26	1	no	—
805	C₄×Q₈	—	26	1	no	—
806	C₄×Q₈	—	26	2	no	—
807	C₄×Q₈	—	26	2	no	—
808	C₄×Q₈	—	26	1	no	—
809	C₄×Q₈	—	26	1	no	—
810	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
811	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
812	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
813	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	13	2	no	—
819	C₄×D₄	—	13	2	no	—
820	C₄×D₄	—	13	2	no	—
821	C₄×D₄	—	13	2	no	—
822	C₄×D₄	—	13	2	no	—
823	C₄×D₄	—	13	2	no	—
824	C₄×D₄	—	13	1	no	—
825	C₄×D₄	—	13	1	no	—
826	C₄×D₄	—	13	2	no	—
827	C₄×D₄	—	13	2	no	—
828	C₄×D₄	—	26	2	no	—
829	C₄×D₄	—	26	1	no	—
830	C₄×D₄	—	26	1	no	—
831	C₄×D₄	—	26	2	no	—
832	C₄×D₄	—	26	1	no	—
833	C₄×D₄	—	26	1	no	—
834	C₄×D₄	—	26	2	no	—
835	C₄×D₄	—	26	2	no	—
836	C₄×D₄	—	26	2	no	—
837	C₄×D₄	—	26	2	no	—
838	C₄×D₄	—	26	2	no	—
839	C₄×D₄	—	26	2	no	—
840	C₄×D₄	—	26	2	no	—
841	C₄×D₄	—	26	2	no	—
842	C₄×D₄	—	26	2	no	—
843	C₄×D₄	—	26	2	no	—
844	C₄×D₄	—	26	2	no	—
845	C₄×D₄	—	26	2	no	—
846	C₄×D₄	—	26	2	no	—
847	C₄×D₄	—	26	2	no	—
848	C₄×D₄	—	26	1	no	—
849	C₄×D₄	—	26	1	no	—
850	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
851	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
852	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
853	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
854	#117	—	2	1	no	—
855	#117	—	2	1	no	—
856	#117	—	13	1	no	—
857	#117	—	13	2	no	—
858	#117	—	13	2	no	—
859	#117	—	13	2	no	—
860	#117	—	26	2	no	—
861	#117	—	26	2	no	—
862	#117	—	26	2	no	—
863	#117	—	26	2	no	—
864	#117	—	26	2	no	—
865	#117	—	26	2	no	—
866	#117	—	26	2	no	—
867	#117	—	26	1	no	—
868	#117	—	26	1	no	—
869	#117	C₂²×D₁₃	1	1	yes	characteristic
870	#117	C₂²×D₁₃	1	1	yes	characteristic
871	C₂×C₄⋊C₄	—	13	1	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	2	no	—
874	C₂×C₄⋊C₄	—	13	2	no	—
875	C₂×C₄⋊C₄	—	26	2	no	—
876	C₂×C₄⋊C₄	—	26	2	no	—
877	C₂×C₄⋊C₄	—	26	1	no	—
878	C₂×C₄⋊C₄	—	26	2	no	—
879	C₂×C₄⋊C₄	—	26	1	no	—
880	C₂×C₄⋊C₄	—	26	1	no	—
881	C₂×C₂²⋊C₄	—	26	2	no	—
882	C₂×C₂²⋊C₄	—	26	2	no	—
883	C₂×C₂²⋊C₄	—	26	2	no	—
884	C₂×C₂²⋊C₄	—	26	2	no	—
885	C₂×C₂²⋊C₄	—	26	1	no	—
886	C₂×C₄²	—	2	1	no	—
887	C₂×C₄²	—	2	1	no	—
888	C₂×C₄²	—	13	2	no	—
889	C₂×C₄²	—	26	2	no	—
890	C₂×C₄²	—	26	2	no	—
891	C₂×C₄²	—	26	2	no	—
892	C₂×C₄²	—	26	1	no	—
893	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
894	#107	—	13	2	no	—
895	#107	—	13	2	no	—
896	#107	—	13	2	no	—
897	#107	—	13	2	no	—
898	#107	C₂²×D₁₃	1	1	yes	characteristic
899	#107	C₂²×D₁₃	1	1	yes	characteristic
900	#106	—	13	2	no	—
901	#106	—	13	2	no	—
902	#106	C₂²×D₁₃	1	1	yes	characteristic
903	#106	C₂²×D₁₃	1	1	yes	characteristic
904	#103	—	13	2	no	—
905	#103	—	13	2	no	—
906	#103	—	13	2	no	—
907	#103	—	13	2	no	—
908	#103	—	13	2	no	—
909	#103	—	13	2	no	—
910	#103	C₂²×D₁₃	1	1	yes	characteristic
911	#103	C₂²×D₁₃	1	1	yes	characteristic
912	#103	C₂²×D₁₃	1	1	yes	characteristic
913	#103	C₂²×D₁₃	1	1	yes	characteristic
914	#102	—	13	2	no	—
915	#102	—	13	2	no	—
916	#102	—	13	2	no	—
917	#102	—	13	2	no	—
918	#102	—	13	2	no	—
919	#102	—	13	2	no	—
920	#102	C₂²×D₁₃	1	1	yes	characteristic
921	#102	C₂²×D₁₃	1	1	yes	characteristic
922	#102	C₂²×D₁₃	1	1	yes	characteristic
923	#102	C₂²×D₁₃	1	1	yes	characteristic
924	#97	—	13	2	no	—
925	#97	—	13	2	no	—
926	#97	—	13	2	no	—
927	#97	C₂²×D₁₃	1	1	yes	characteristic
928	#97	C₂²×D₁₃	1	1	yes	characteristic
929	#97	C₂²×D₁₃	1	1	yes	characteristic
930	#97	C₂²×D₁₃	1	1	yes	characteristic
931	C₄×C₈	—	13	2	no	—
932	C₄×C₈	—	13	2	no	—
933	C₄×C₈	—	13	2	no	—
934	C₂×C₁₃	—	2	2	no	—
935	C₂×C₁₃	—	4	2	no	—
936	C₂×C₁₃	—	4	2	no	—
937	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
938	C₂×C₁₃	#3585	1	1	yes	characteristic
939	C₂×C₁₃	#3586	1	1	yes	characteristic
940	D₁₃	—	2	4	no	—
941	D₁₃	—	4	4	no	—
942	C₂⁴	—	26	2	no	—
943	C₂⁴	—	26	1	no	—
944	#41	—	2	2	no	—
945	#41	—	2	2	no	—
946	#41	—	13	4	no	—
947	#41	—	13	4	no	—
948	#41	—	13	8	no	—
949	#41	—	13	8	no	—
950	#41	—	26	8	no	—
951	#41	—	26	8	no	—
952	#41	—	26	4	no	—
953	#41	—	26	4	no	—
954	#41	—	26	16	no	—
955	#41	C₂×C₄×D₁₃	1	4	yes	—
956	#41	C₂×C₄×D₁₃	1	4	yes	complemented
957	C₂×Q₈	—	13	1	no	—
958	C₂×Q₈	—	13	8	no	—
959	C₂×Q₈	—	13	4	no	—
960	C₂×Q₈	—	13	2	no	—
961	C₂×Q₈	—	26	2	no	—
962	C₂×Q₈	—	26	8	no	—
963	C₂×Q₈	—	26	4	no	—
964	C₂×Q₈	—	26	1	no	—
965	C₂×Q₈	—	26	2	no	—
966	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
967	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
968	C₂×D₄	—	2	1	no	—
969	C₂×D₄	—	2	1	no	—
970	C₂×D₄	—	13	2	no	—
971	C₂×D₄	—	13	8	no	—
972	C₂×D₄	—	13	4	no	—
973	C₂×D₄	—	13	1	no	—
974	C₂×D₄	—	13	2	no	—
975	C₂×D₄	—	26	8	no	—
976	C₂×D₄	—	26	2	no	—
977	C₂×D₄	—	26	4	no	—
978	C₂×D₄	—	26	2	no	—
979	C₂×D₄	—	26	16	no	—
980	C₂×D₄	—	26	2	no	—
981	C₂×D₄	—	26	1	no	—
982	C₂×D₄	—	26	2	no	—
983	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
984	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
985	C₂²×C₄	—	2	1	no	—
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	13	2	no	—
992	C₂²×C₄	—	13	2	no	—
993	C₂²×C₄	—	13	2	no	—
994	C₂²×C₄	—	26	2	no	—
995	C₂²×C₄	—	26	2	no	—
996	C₂²×C₄	—	26	2	no	—
997	C₂²×C₄	—	26	2	no	—
998	C₂²×C₄	—	26	2	no	—
999	C₂²×C₄	—	26	2	no	—
1000	C₂²×C₄	—	26	2	no	—
1001	C₂²×C₄	—	26	2	no	—
1002	C₂²×C₄	—	26	2	no	—
1003	C₂²×C₄	—	26	1	no	—
1004	C₂²×C₄	—	26	1	no	—
1005	C₂²×C₄	—	26	1	no	—
1006	C₂²×C₄	—	26	2	no	—
1007	C₂²×C₄	—	26	2	no	—
1008	C₂²×C₄	—	104	2	no	—
1009	C₂²×C₄	—	104	4	no	—
1010	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1011	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1013	Q₁₆	—	13	8	no	—
1014	Q₁₆	C₂×C₄×D₁₃	1	4	yes	complemented
1015	SD₁₆	—	13	8	no	—
1016	SD₁₆	—	13	8	no	—
1017	SD₁₆	—	13	8	no	—
1018	SD₁₆	—	13	8	no	—
1019	SD₁₆	C₂×C₄×D₁₃	1	4	yes	complemented
1020	SD₁₆	C₂×C₄×D₁₃	1	4	yes	complemented
1021	D₈	—	13	8	no	—
1022	D₈	C₂×C₄×D₁₃	1	4	yes	complemented
1023	M₁₆	—	13	4	no	—
1024	M₁₆	—	13	8	no	—
1025	M₁₆	—	26	4	no	—
1026	M₁₆	—	26	2	no	—
1027	C₂×C₈	—	2	2	no	—
1028	C₂×C₈	—	13	2	no	—
1029	C₂×C₈	—	13	8	no	—
1030	C₂×C₈	—	13	2	no	—
1031	C₂×C₈	—	26	4	no	—
1032	C₂×C₈	C₂×C₄×D₁₃	1	4	yes	complemented
1033	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1034	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1035	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1036	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	13	2	no	—
1042	C₄⋊C₄	—	13	1	no	—
1043	C₄⋊C₄	—	13	2	no	—
1044	C₄⋊C₄	—	13	1	no	—
1045	C₄⋊C₄	—	13	2	no	—
1046	C₄⋊C₄	—	13	2	no	—
1047	C₄⋊C₄	—	26	2	no	—
1048	C₄⋊C₄	—	26	2	no	—
1049	C₄⋊C₄	—	26	2	no	—
1050	C₄⋊C₄	—	26	2	no	—
1051	C₄⋊C₄	—	26	2	no	—
1052	C₄⋊C₄	—	26	2	no	—
1053	C₄⋊C₄	—	26	1	no	—
1054	C₄⋊C₄	—	26	1	no	—
1055	C₄⋊C₄	—	26	2	no	—
1056	C₄⋊C₄	—	26	2	no	—
1057	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1058	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1059	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1060	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1061	C₂²⋊C₄	—	2	1	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	—	13	2	no	—
1068	C₂²⋊C₄	—	13	2	no	—
1069	C₂²⋊C₄	—	13	2	no	—
1070	C₂²⋊C₄	—	26	2	no	—
1071	C₂²⋊C₄	—	26	2	no	—
1072	C₂²⋊C₄	—	26	2	no	—
1073	C₂²⋊C₄	—	26	2	no	—
1074	C₂²⋊C₄	—	26	2	no	—
1075	C₂²⋊C₄	—	26	2	no	—
1076	C₂²⋊C₄	—	26	2	no	—
1077	C₂²⋊C₄	—	26	2	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	—	2	1	no	—
1082	C₄²	—	2	1	no	—
1083	C₄²	—	2	1	no	—
1084	C₄²	—	13	2	no	—
1085	C₄²	—	13	2	no	—
1086	C₄²	—	13	2	no	—
1087	C₄²	—	26	2	no	—
1088	C₄²	—	26	2	no	—
1089	C₄²	—	26	2	no	—
1090	C₄²	—	26	2	no	—
1091	C₄²	—	26	2	no	—
1092	C₄²	—	26	2	no	—
1093	C₄²	—	26	2	no	—
1094	C₄²	—	26	2	no	—
1095	C₄²	D₄×D₁₃	1	1	yes	characteristic
1096	C₄²	D₄×D₁₃	1	1	yes	characteristic
1097	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1098	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1099	C₁₃	#60174	1	1	yes	characteristic, complemented, Sylow
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	13	2	no	—
1103	C₂³	—	26	8	no	—
1104	C₂³	—	26	2	no	—
1105	C₂³	—	26	4	no	—
1106	C₂³	—	104	1	no	—
1107	C₂³	—	104	1	no	—
1108	C₂³	—	104	2	no	—
1109	C₂³	—	104	2	no	—
1110	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1111	Q₈	—	2	1	no	—
1112	Q₈	—	2	1	no	—
1113	Q₈	—	13	4	no	—
1114	Q₈	—	13	4	no	—
1115	Q₈	—	26	8	no	—
1116	Q₈	—	26	4	no	—
1117	Q₈	—	26	2	no	—
1118	Q₈	C₂²×C₄×D₁₃	1	2	yes	—
1119	Q₈	C₂²×C₄×D₁₃	1	2	yes	—
1120	D₄	—	2	4	no	—
1121	D₄	—	2	4	no	—
1122	D₄	—	2	1	no	—
1123	D₄	—	2	1	no	—
1124	D₄	—	13	8	no	—
1125	D₄	—	13	4	no	—
1126	D₄	—	13	4	no	—
1127	D₄	—	26	8	no	—
1128	D₄	—	26	8	no	—
1129	D₄	—	26	8	no	—
1130	D₄	—	26	4	no	—
1131	D₄	—	26	2	no	—
1132	D₄	C₂²×C₄×D₁₃	1	2	yes	—
1133	D₄	C₂²×C₄×D₁₃	1	2	yes	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	4	no	—
1137	C₂×C₄	—	2	4	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	4	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	2	no	—
1145	C₂×C₄	—	4	2	no	—
1146	C₂×C₄	—	8	1	no	—
1147	C₂×C₄	—	8	1	no	—
1148	C₂×C₄	—	13	2	no	—
1149	C₂×C₄	—	13	4	no	—
1150	C₂×C₄	—	13	4	no	—
1151	C₂×C₄	—	13	2	no	—
1152	C₂×C₄	—	13	2	no	—
1153	C₂×C₄	—	26	8	no	—
1154	C₂×C₄	—	26	8	no	—
1155	C₂×C₄	—	26	8	no	—
1156	C₂×C₄	—	26	4	no	—
1157	C₂×C₄	—	26	2	no	—
1158	C₂×C₄	—	26	2	no	—
1159	C₂×C₄	—	26	2	no	—
1160	C₂×C₄	—	52	2	no	—
1161	C₂×C₄	—	52	2	no	—
1162	C₂×C₄	—	52	4	no	—
1163	C₂×C₄	—	104	2	no	—
1164	C₂×C₄	—	104	2	no	—
1165	C₂×C₄	—	104	2	no	—
1166	C₂×C₄	—	104	2	no	—
1167	C₂×C₄	—	104	2	no	—
1168	C₂×C₄	—	104	2	no	—
1169	C₂×C₄	—	104	2	no	—
1170	C₂×C₄	—	104	1	no	—
1171	C₂×C₄	—	104	1	no	—
1172	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1173	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1174	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1175	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1176	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1177	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1178	C₂×C₄	#41×D₁₃	1	2	yes	—
1179	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1180	C₈	—	2	1	no	—
1181	C₈	—	2	1	no	—
1182	C₈	—	13	4	no	—
1183	C₈	—	26	2	no	—
1184	C₈	C₂²×C₄×D₁₃	1	2	yes	—
1185	C₈	C₂²×C₄×D₁₃	1	2	yes	—
1186	C₂²	—	2	1	no	—
1187	C₂²	—	2	1	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	2	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	13	4	no	—
1195	C₂²	—	26	2	no	—
1196	C₂²	—	26	2	no	—
1197	C₂²	—	26	4	no	—
1198	C₂²	—	52	2	no	—
1199	C₂²	—	52	2	no	—
1200	C₂²	—	104	4	no	—
1201	C₂²	—	104	8	no	—
1202	C₂²	C₄×D₄×D₁₃	1	2	yes	—
1203	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1204	C₄	—	2	2	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	13	4	no	—
1215	C₄	—	26	4	no	—
1216	C₄	—	26	2	no	—
1217	C₄	—	26	2	no	—
1218	C₄	—	52	2	no	—
1219	C₄	—	52	2	no	—
1220	C₄	C₄×D₄×D₁₃	1	2	yes	—
1221	C₄	C₂³×C₄×D₁₃	1	1	yes	characteristic
1222	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1223	C₂	—	2	2	no	—
1224	C₂	—	4	2	no	—
1225	C₂	—	4	2	no	—
1226	C₂	—	26	4	no	—
1227	C₂	—	52	4	no	—
1228	C₂	C₂×C₄×D₄×D₁₃	1	1	yes	characteristic
1229	C₂	#13129613	1	1	yes	characteristic
1230	C₂	#13129620	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator	C₄×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#2943	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	C₂×#11719475	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2943	D₁₃
hypocenter	C₁₃	#60174
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2943

Complements

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

N	H ≅ G/N	type
2. C₄×#88257	C₂	semidirect
3. C₄×#88256	C₂	semidirect
4. #13123712	C₂	semidirect
5. #13123708	C₂	semidirect
6. #13123694	C₂	semidirect
7. #13123692	C₂	semidirect
8. #13123682	C₂	semidirect
9. #13123678	C₂	semidirect
10. #13123671	C₂	semidirect
11. #13123665	C₂	semidirect
12. C₄×#88205	C₂	semidirect
13. #13123652	C₂	semidirect
14. #13123647	C₂	semidirect
15. C₄×#88203	C₂	semidirect
16. #13123631	C₂	semidirect
17. C₂×#11718371	C₂	semidirect
18. D₁₃×#440	C₂	semidirect
19. #13123433	C₂	semidirect
20. #13123365	C₂	semidirect
21. #13123358	C₂	semidirect
22. #13123261	C₂	semidirect
23. C₁₃×#2943	C₂	semidirect
28. C₄×C₁₃×#41	C₂²	semidirect
30. #11719532	C₂²	semidirect
33. #11719475	C₄	semidirect
43. #11719277	C₂²	semidirect
44. C₄×Q₈×D₁₃	C₂²	semidirect
46. #11719251	C₂²	semidirect
52. C₄×#6129	C₂²	semidirect
60. #11719221	C₂²	semidirect
67. C₂×C₄×Dic₂₆	C₂²	semidirect
68. C₁₃×#442	C₂²	semidirect
69. C₁₃×#442	C₂²	semidirect
70. C₁₃×#441	C₂²	semidirect
71. C₁₃×#441	C₂²	semidirect
72. C₁₃×#440	C₂²	semidirect
73. C₁₃×#440	C₂²	semidirect
74. C₁₃×#440	C₂²	semidirect
75. C₁₃×#440	C₂²	semidirect
76. C₁₃×#427	C₂²	semidirect
78. C₁₃×#416	C₂²	semidirect
79. C₂×C₁₃×#97	C₂²	semidirect
81. #11718893	C₂²	semidirect
82. Q₁₆×Dic₁₃	C₂²	semidirect
83. #11718825	C₂²	semidirect
84. #11718825	C₂²	semidirect
85. D₈×Dic₁₃	C₂²	semidirect
87. C₂×#88058	C₂²	semidirect
88. C₂×#88056	C₂²	semidirect
89. #11718762	C₂²	semidirect
90. #11718762	C₂²	semidirect
91. #11718691	C₂²	semidirect
92. C₄×#6107	C₂²	semidirect
93. #11718687	C₂²	semidirect
94. C₄×#6106	C₂²	semidirect
95. #11718679	C₂²	semidirect
96. C₄×#6105	C₂²	semidirect
97. #11718675	C₂²	semidirect
98. C₄×#6104	C₂²	semidirect
99. #11718665	C₂²	semidirect
101. #11718656	C₂²	semidirect
102. #11718656	C₂²	semidirect
103. C₄×#6099	C₂²	semidirect
104. #11718550	C₂²	semidirect
105. #11718550	C₂²	semidirect
106. #11718541	C₂²	semidirect
107. D₁₃×#107	C₂²	semidirect
108. #11718522	C₂²	semidirect
109. #11718522	C₂²	semidirect
110. #11718513	C₂²	semidirect
111. #11718513	C₂²	semidirect
112. #11718478	C₂²	semidirect
115. #11718463	C₂²	semidirect
116. D₁₃×#103	C₂²	semidirect
117. #11718451	C₂²	semidirect
118. #11718450	C₂²	semidirect
119. #11718449	C₂²	semidirect
120. #11718446	C₂²	semidirect
121. #11718433	C₂²	semidirect
122. #11718432	C₂²	semidirect
125. #11718419	C₂²	semidirect
126. #11718418	C₂²	semidirect
127. #11718417	C₂²	semidirect
128. #11718371	C₂²	semidirect
129. #11718371	C₂²	semidirect
130. #11718371	C₂²	semidirect
131. #11718371	C₂²	semidirect
132. #11718369	C₂²	semidirect
133. #11718369	C₂²	semidirect
134. #11718368	C₂²	semidirect
135. D₁₃×#97	C₂²	semidirect
139. #88257	C₂×C₄	semidirect
141. #88256	C₂×C₄	semidirect
157. C₁₃×#135	C₂×C₄	semidirect
183. #88205	C₂×C₄	semidirect
184. #88203	C₂×C₄	semidirect
216. #88172	C₂×C₄	semidirect
217. #88170	C₂×C₄	semidirect
218. SD₁₆×D₁₃	C₂×C₄	semidirect
219. #88165	C₂×C₄	semidirect
220. C₂×#6095	C₂×C₄	semidirect
224. #88155	C₂×C₄	semidirect
333. C₁₃×#41	C₂²×C₄	semidirect
361. Q₈×D₁₃	C₂²×C₄	semidirect
364. #6129	C₂²×C₄	semidirect
396. C₂×Dic₂₆	C₂²×C₄	semidirect
399. C₁₃×Q₁₆	C₂²×C₄	semidirect
400. C₁₃×SD₁₆	C₂²×C₄	semidirect
401. C₁₃×SD₁₆	C₂²×C₄	semidirect
402. C₁₃×D₈	C₂²×C₄	semidirect
404. C₂×C₈×C₁₃	C₂²×C₄	semidirect
436. #6107	C₂²×C₄	semidirect
437. #6106	C₂²×C₄	semidirect
438. #6105	C₂²×C₄	semidirect
439. #6104	C₂²×C₄	semidirect
476. #6099	C₂²×C₄	semidirect
479. #6095	C₂²×C₄	semidirect
480. #6095	C₂²×C₄	semidirect
482. #6094	C₂²×C₄	semidirect
484. C₈×D₁₃	C₂²×C₄	semidirect
501. #2943	D₁₃	semidirect
630. C₄×#41	C₂×D₁₃	semidirect
640. #442	C₂×D₁₃	semidirect
641. #442	C₂×D₁₃	semidirect
644. #441	C₂×D₁₃	semidirect
645. #441	C₂×D₁₃	semidirect
658. #440	C₂×D₁₃	semidirect
659. #440	C₂×D₁₃	semidirect
660. #440	C₂×D₁₃	semidirect
661. #440	C₂×D₁₃	semidirect
679. #427	C₂×D₁₃	semidirect
693. #416	C₂×D₁₃	semidirect
705. C₂×#97	C₂×D₁₃	semidirect
769. #135	C₄×D₁₃	semidirect
956. #41	C₂×C₄×D₁₃	semidirect
1014. Q₁₆	C₂×C₄×D₁₃	semidirect
1019. SD₁₆	C₂×C₄×D₁₃	semidirect
1020. SD₁₆	C₂×C₄×D₁₃	semidirect
1022. D₈	C₂×C₄×D₁₃	semidirect
1032. C₂×C₈	C₂×C₄×D₁₃	semidirect
1099. C₁₃	#60174	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719475	2
C₄×#88257	2
C₄×#88256	2
#13123712	2
#13123708	2
#13123694	2
#13123692	2
#13123682	2
#13123678	2
#13123671	2
#13123665	2
C₄×#88205	2
#13123652	2
#13123647	2
C₄×#88203	2
#13123631	2
C₂×#11718371	2
D₁₃×#440	2
#13123433	2
#13123365	2
#13123358	2
#13123261	2
C₁₃×#2943	2
#60174	13