Subgroups — #16727903

Order 3328.

1748 conjugacy classes of subgroups.

The subgroup lattice has 830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#533	C₂	1	1	yes	maximal, characteristic
2	#13123936	C₂	1	2	yes	maximal, complemented
3	#13123934	C₂	1	2	yes	maximal, complemented
4	#13123932	C₂	1	2	yes	maximal, complemented
5	#13123927	C₂	1	2	yes	maximal, complemented
6	#13123924	C₂	1	2	yes	maximal, complemented
7	#13123922	C₂	1	2	yes	maximal, complemented
8	#13123918	C₂	1	2	yes	maximal, complemented
9	#13123915	C₂	1	2	yes	maximal, complemented
10	#13123782	C₂	1	2	yes	maximal, complemented
11	#13123780	C₂	1	2	yes	maximal, complemented
12	#13123771	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123770	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123766	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123493	C₂	1	2	yes	maximal
16	#13123491	C₂	1	2	yes	maximal
17	#13123468	C₂	1	1	yes	maximal, characteristic
18	C₂×#11718346	C₂	1	1	yes	maximal, characteristic
19	C₁₃×#2960	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#533	C₂²	1	1	yes	characteristic
21	#11719433	C₄	1	1	yes	characteristic
22	#11719433	C₄	1	1	yes	characteristic
23	D₁₃×C₄⋊Q₈	C₄	1	1	yes	characteristic
24	D₁₃×C₄⋊Q₈	C₄	1	1	yes	characteristic
25	#11719393	C₄	1	2	yes	—
26	D₁₃×#125	C₄	1	2	yes	—
27	D₁₃×C₂²⋊Q₈	C₄	1	2	yes	—
28	D₁₃×C₂²⋊Q₈	C₄	1	2	yes	—
29	#11719327	C₄	1	2	yes	—
30	#11719327	C₄	1	2	yes	—
31	#11719283	C₂²	1	2	yes	—
32	#11719283	C₂²	1	2	yes	—
33	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
34	C₄×Q₈×D₁₃	C₂²	1	2	yes	—
35	D₁₃×#117	C₂²	1	2	yes	—
36	#11719222	C₂²	1	2	yes	—
37	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
38	#11719175	C₂²	1	1	yes	characteristic
39	C₁₃×#446	C₂²	1	2	yes	complemented
40	C₁₃×#446	C₂²	1	2	yes	complemented
41	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
42	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
43	C₁₃×#424	C₂²	1	2	yes	—
44	C₁₃×#423	C₂²	1	1	yes	characteristic
45	C₁₃×#405	C₂²	1	2	yes	—
46	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
47	#11718787	C₂²	1	2	yes	—
48	#11718783	C₂²	1	2	yes	—
49	#11718780	C₂²	1	2	yes	—
50	M₁₆×Dic₁₃	C₂²	1	2	yes	—
51	C₂×#88060	C₂²	1	1	yes	characteristic
52	C₂×#88060	C₂²	1	1	yes	characteristic
53	#11718763	C₂²	1	2	yes	—
54	#11718762	C₂²	1	2	yes	—
55	C₂×#88054	C₂²	1	1	yes	characteristic
56	C₂×#88054	C₂²	1	1	yes	characteristic
57	#11718685	C₂²	1	2	yes	complemented
58	#11718685	C₂²	1	2	yes	complemented
59	Q₈×#1055	C₂²	1	2	yes	complemented
60	Q₈×#1055	C₂²	1	2	yes	complemented
61	#11718660	C₂²	1	2	yes	—
62	#11718658	C₂²	1	2	yes	—
63	#11718585	C₂²	1	1	yes	characteristic
64	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
65	#11718501	C₂²	1	4	yes	—
66	#11718501	C₂²	1	4	yes	—
67	#11718496	C₂²	1	4	yes	—
68	#11718496	C₂²	1	2	yes	—
69	#11718496	C₂²	1	2	yes	—
70	#11718494	C₂²	1	2	yes	—
71	#11718494	C₂²	1	4	yes	—
72	#11718494	C₂²	1	2	yes	—
73	#11718492	C₂²	1	2	yes	complemented
74	#11718492	C₂²	1	4	yes	complemented
75	#11718492	C₂²	1	2	yes	complemented
76	#11718491	C₂²	1	2	yes	complemented
77	#11718491	C₂²	1	4	yes	complemented
78	#11718491	C₂²	1	2	yes	complemented
79	#11718489	C₂²	1	4	yes	complemented
80	#11718489	C₂²	1	4	yes	complemented
81	#11718370	C₂²	1	4	yes	—
82	#11718366	C₂²	1	4	yes	—
83	#11718362	C₂²	1	4	yes	complemented
84	#11718362	C₂²	1	4	yes	complemented
85	#11718351	C₂²	1	4	yes	—
86	#11718346	C₂²	1	1	yes	characteristic
87	#11718346	C₂²	1	4	yes	—
88	#11718346	C₂²	1	1	yes	characteristic
89	#11718346	C₂²	1	1	yes	characteristic
90	#11718346	C₂²	1	1	yes	characteristic
91	#11718346	C₂²	1	1	yes	characteristic
92	#11718346	C₂²	1	1	yes	characteristic
93	#11718346	C₂²	1	1	yes	characteristic
94	#11718346	C₂²	1	1	yes	characteristic
95	#11718340	C₂²	1	2	yes	complemented
96	#11718340	C₂²	1	4	yes	complemented
97	#11718340	C₂²	1	2	yes	complemented
98	C₈×Dic₂₆	C₂²	1	2	yes	complemented
99	C₈×Dic₂₆	C₂²	1	4	yes	complemented
100	C₈×Dic₂₆	C₂²	1	2	yes	complemented
101	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
102	C₂×Q₈×D₁₃	C₂×C₄	1	2	yes	—
103	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
104	C₂²×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
105	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
106	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
107	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
108	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
109	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
110	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
111	C₁₃×#125	C₂×C₄	1	2	yes	—
112	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
113	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
114	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
115	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
116	C₁₃×#117	C₂³	1	2	yes	—
117	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
118	#88200	C₂×C₄	1	2	yes	—
119	#88200	C₂×C₄	1	2	yes	—
120	Q₈×Dic₁₃	C₂×C₄	1	2	yes	—
121	Q₈×Dic₁₃	C₂×C₄	1	2	yes	—
122	#88198	C₂×C₄	1	2	yes	—
123	#88198	C₂×C₄	1	2	yes	—
124	#88180	C₂³	1	2	yes	—
125	#88178	C₂×C₄	1	2	yes	—
126	#88178	C₂×C₄	1	2	yes	—
127	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
128	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
129	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
130	C₂×#6099	C₂³	1	2	yes	—
131	C₂²×#1055	C₂³	1	1	yes	characteristic
132	C₂²×#1055	C₂³	1	1	yes	characteristic
133	#88151	C₂×C₄	1	2	yes	—
134	#88151	C₂×C₄	1	2	yes	—
135	#88150	C₂×C₄	1	4	yes	—
136	#88150	C₂×C₄	1	4	yes	—
137	#88146	C₂×C₄	1	2	yes	—
138	#88146	C₂×C₄	1	2	yes	—
139	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
140	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
141	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
142	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
143	C₄⋊C₄×D₁₃	C₂×C₄	1	4	yes	—
144	C₄⋊C₄×D₁₃	C₂×C₄	1	4	yes	—
145	#88144	C₂×C₄	1	2	yes	—
146	#88144	C₂×C₄	1	2	yes	—
147	#88143	C₂×C₄	1	4	yes	—
148	#88143	C₂×C₄	1	4	yes	—
149	#88142	C₂×C₄	1	2	yes	—
150	#88142	C₂×C₄	1	2	yes	—
151	#88142	C₂×C₄	1	2	yes	—
152	#88142	C₂×C₄	1	2	yes	—
153	#88141	C₂×C₄	1	2	yes	—
154	#88141	C₂×C₄	1	2	yes	—
155	#88141	C₂×C₄	1	4	yes	—
156	#88141	C₂×C₄	1	4	yes	—
157	C₂²⋊C₄×D₁₃	C₂×C₄	1	4	yes	—
158	#88132	C₂×C₄	1	4	yes	—
159	#88132	C₂×C₄	1	4	yes	—
160	#88131	C₂×C₄	1	4	yes	—
161	#88126	C₂³	1	4	yes	—
162	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
163	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
164	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
165	C₄²×D₁₃	C₂×C₄	1	1	yes	characteristic
166	C₄²×D₁₃	C₂³	1	1	yes	characteristic
167	C₄²×D₁₃	C₂³	1	1	yes	characteristic
168	C₄²×D₁₃	C₂³	1	1	yes	characteristic
169	C₄²×D₁₃	C₂³	1	1	yes	characteristic
170	C₄²×D₁₃	C₂³	1	4	yes	—
171	#88124	C₂×C₄	1	2	yes	—
172	#88123	C₂×C₄	1	1	yes	characteristic
173	#88123	C₂×C₄	1	1	yes	characteristic
174	C₄×Dic₂₆	C₂³	1	2	yes	—
175	C₄×Dic₂₆	C₂³	1	2	yes	—
176	C₄×Dic₂₆	C₂³	1	4	yes	—
177	C₄×Dic₂₆	C₂³	1	4	yes	—
178	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
179	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
180	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
181	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
182	C₁₃×#97	C₂³	1	4	yes	—
183	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
184	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
185	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
186	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
187	C₄×C₈×C₁₃	C₂³	1	4	yes	—
188	#88060	C₂³	1	1	yes	characteristic
189	#88060	C₂³	1	4	yes	—
190	#88060	C₂³	1	4	yes	—
191	#88060	C₂³	1	1	yes	characteristic
192	#88060	C₂³	1	1	yes	characteristic
193	#88060	C₂³	1	1	yes	characteristic
194	#88060	C₂³	1	1	yes	characteristic
195	#88060	C₂³	1	1	yes	characteristic
196	#88060	C₂³	1	1	yes	characteristic
197	#88060	C₂³	1	1	yes	characteristic
198	#88055	C₂³	1	4	yes	—
199	#88055	C₂³	1	4	yes	—
200	#88055	C₂³	1	4	yes	—
201	#88054	C₂³	1	1	yes	characteristic
202	#88054	C₂³	1	1	yes	characteristic
203	#88054	C₂³	1	4	yes	—
204	#88054	C₂³	1	1	yes	characteristic
205	#88054	C₂³	1	4	yes	—
206	#88054	C₂³	1	1	yes	characteristic
207	#88054	C₂³	1	1	yes	characteristic
208	#88054	C₂³	1	1	yes	characteristic
209	#88054	C₂³	1	1	yes	characteristic
210	#88054	C₂³	1	1	yes	characteristic
211	#88054	C₂³	1	4	yes	—
212	#88054	C₂³	1	4	yes	—
213	C₈×Dic₁₃	C₂³	1	4	yes	—
214	C₈×Dic₁₃	C₂³	1	4	yes	—
215	C₈×Dic₁₃	C₂³	1	4	yes	—
216	C₄⋊#1055	C₂³	1	4	yes	—
217	C₄⋊#1055	C₂³	1	4	yes	—
218	C₄⋊#1055	C₂³	1	2	yes	—
219	C₄⋊#1055	C₂³	1	2	yes	—
220	#88043	C₂³	1	4	yes	—
221	C₄×#1055	C₂³	1	4	yes	—
222	C₄×#1055	C₂³	1	1	yes	characteristic
223	C₄×#1055	C₂³	1	1	yes	characteristic
224	C₄×#1055	C₂³	1	1	yes	characteristic
225	C₄×#1055	C₂³	1	1	yes	characteristic
226	#60250	—	13	1	no	maximal, Sylow
227	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
228	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
229	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
230	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
231	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
232	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
233	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
234	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
235	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
236	Q₈×D₁₃	—	2	8	no	—
237	Q₈×D₁₃	—	4	4	no	—
238	C₂×C₄×D₁₃	—	2	2	no	—
239	C₂×C₄×D₁₃	—	2	2	no	—
240	C₂×C₄×D₁₃	—	2	4	no	—
241	C₂×C₄×D₁₃	—	4	2	no	—
242	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
243	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
244	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
245	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
246	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
247	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
248	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
249	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
250	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
251	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
252	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
253	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
254	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
255	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
256	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
257	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
258	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
259	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
260	C₁₃×M₁₆	—	2	4	no	—
261	C₂×C₈×C₁₃	—	2	2	no	—
262	C₂×C₈×C₁₃	—	2	2	no	—
263	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
264	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
265	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
266	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
267	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
268	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
269	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
270	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
271	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
272	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
273	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
274	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
275	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
276	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
277	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₄²×C₁₃	C₂⁴	1	4	yes	—
280	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
281	#6103	C₂²×C₄	1	4	yes	—
282	#6103	C₂²×C₄	1	4	yes	—
283	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
284	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
285	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
286	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
287	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
288	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
289	#6101	C₂²×C₄	1	4	yes	—
290	#6101	C₂²×C₄	1	4	yes	—
291	#6101	C₂²×C₄	1	4	yes	—
292	#6101	C₂²×C₄	1	4	yes	—
293	#6101	C₂²×C₄	1	4	yes	—
294	#6101	C₂²×C₄	1	4	yes	—
295	#6101	C₂²×C₄	1	4	yes	—
296	#6101	C₂²×C₄	1	4	yes	—
297	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
298	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
299	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
300	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
301	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
302	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
303	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
304	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
305	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
306	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
307	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
308	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
309	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
310	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
311	C₄×Dic₁₃	C₂⁴	1	4	yes	—
312	#6099	—	2	4	no	—
313	C₂×#1055	—	2	2	no	—
314	C₂×#1055	—	2	2	no	—
315	C₂×#1055	C₂⁴	1	1	yes	characteristic
316	C₂×#1055	C₂⁴	1	1	yes	characteristic
317	C₂×#1055	C₂⁴	1	1	yes	characteristic
318	C₂×#1055	C₂⁴	1	1	yes	characteristic
319	C₂×#1055	C₂⁴	1	4	yes	—
320	C₂×#533	—	13	1	no	—
321	#2986	—	13	2	no	—
322	#2986	—	13	2	no	—
323	#2985	—	13	2	no	—
324	#2985	—	13	2	no	—
325	#2984	—	13	2	no	—
326	#2984	—	13	2	no	—
327	#2983	—	13	2	no	—
328	#2982	—	13	2	no	—
329	#2962	—	13	2	no	—
330	#2962	—	13	2	no	—
331	#2960	—	13	1	no	—
332	#2960	—	13	1	no	—
333	#2960	—	13	1	no	—
334	#2960	D₁₃	1	1	yes	characteristic, complemented
335	#2924	—	13	2	no	—
336	#2924	—	13	2	no	—
337	#2920	—	13	1	no	—
338	C₂×#431	—	13	1	no	—
339	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
340	C₂²×D₁₃	—	2	2	no	—
341	C₂²×D₁₃	—	2	2	no	—
342	C₂²×D₁₃	—	4	1	no	—
343	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
344	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
345	Q₈×C₁₃	—	2	4	no	—
346	Q₈×C₁₃	—	2	4	no	—
347	C₂×C₄×C₁₃	—	2	2	no	—
348	C₂×C₄×C₁₃	—	2	2	no	—
349	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
350	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
351	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
352	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
353	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
354	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
355	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
356	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
357	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
358	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
359	C₂×Dic₁₃	—	2	2	no	—
360	C₂×Dic₁₃	—	2	2	no	—
361	C₂×Dic₁₃	—	4	1	no	—
362	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
363	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
364	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
365	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
366	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
367	C₂×Dic₁₃	C₂³×C₄	1	4	yes	—
368	C₂×Dic₁₃	C₂³×C₄	1	4	yes	—
369	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
370	C₄×D₁₃	—	2	2	no	—
371	C₄×D₁₃	—	2	8	no	—
372	C₄×D₁₃	—	2	2	no	—
373	C₄×D₁₃	—	2	2	no	—
374	C₄×D₁₃	—	2	2	no	—
375	C₄×D₁₃	—	2	2	no	—
376	C₄×D₁₃	—	2	2	no	—
377	C₄×D₁₃	—	2	1	no	—
378	C₄×D₁₃	—	2	1	no	—
379	C₄×D₁₃	—	2	1	no	—
380	C₄×D₁₃	—	2	1	no	—
381	C₄×D₁₃	—	2	2	no	—
382	C₄×D₁₃	—	4	1	no	—
383	C₄×D₁₃	—	4	1	no	—
384	C₄×D₁₃	—	4	4	no	—
385	C₄×D₁₃	#131	1	4	yes	—
386	Dic₂₆	—	2	4	no	—
387	Dic₂₆	—	2	4	no	—
388	Dic₂₆	—	2	8	no	—
389	Dic₂₆	—	4	4	no	—
390	C₈×C₁₃	—	2	1	no	—
391	C₈×C₁₃	—	2	1	no	—
392	C₈×C₁₃	—	2	1	no	—
393	C₈×C₁₃	—	2	1	no	—
394	C₈×C₁₃	—	2	4	no	—
395	#1055	—	2	1	no	—
396	#1055	—	2	1	no	—
397	#1055	—	2	1	no	—
398	#1055	—	2	1	no	—
399	#1055	—	2	4	no	—
400	#533	—	13	1	no	—
401	#533	—	13	1	no	—
402	#533	—	13	2	no	—
403	#533	—	13	2	no	—
404	#533	—	13	2	no	—
405	#533	—	13	2	no	—
406	#533	—	13	2	no	—
407	#533	—	13	2	no	—
408	#533	—	13	1	no	—
409	#533	C₂×D₁₃	1	1	yes	characteristic
410	C₂×C₄⋊Q₈	—	13	1	no	—
411	C₂×C₄⋊Q₈	—	13	1	no	—
412	C₂×#125	—	13	2	no	—
413	C₂×C₂²⋊Q₈	—	13	2	no	—
414	C₂×C₂²⋊Q₈	—	13	2	no	—
415	C₂×C₄×Q₈	—	13	2	no	—
416	C₂×C₄×Q₈	—	13	2	no	—
417	C₂×#117	—	13	2	no	—
418	C₂²×C₄²	—	13	1	no	—
419	#446	—	13	2	no	—
420	#446	—	13	2	no	—
421	#446	—	13	4	no	—
422	#446	—	13	4	no	—
423	#446	—	13	2	no	—
424	#446	—	13	2	no	—
425	#446	—	13	4	no	—
426	#446	—	13	4	no	—
427	#446	—	13	4	no	—
428	#446	—	13	2	no	—
429	#446	—	13	2	no	—
430	#446	—	13	4	no	—
431	#446	C₂×D₁₃	1	2	yes	complemented
432	#446	C₂×D₁₃	1	2	yes	complemented
433	C₈×Q₈	—	13	2	no	—
434	C₈×Q₈	—	13	2	no	—
435	C₈×Q₈	—	13	2	no	—
436	C₈×Q₈	—	13	2	no	—
437	C₈×Q₈	—	13	4	no	—
438	C₈×Q₈	—	13	2	no	—
439	C₈×Q₈	—	13	2	no	—
440	C₈×Q₈	—	13	4	no	—
441	C₈×Q₈	C₂×D₁₃	1	2	yes	complemented
442	C₈×Q₈	C₂×D₁₃	1	2	yes	complemented
443	#433	—	13	4	no	—
444	#433	—	13	4	no	—
445	#433	—	13	4	no	—
446	#433	—	13	4	no	—
447	#432	—	13	2	no	—
448	#432	—	13	2	no	—
449	#432	—	13	4	no	—
450	#432	—	13	4	no	—
451	#431	—	13	2	no	—
452	#431	—	13	2	no	—
453	#431	—	13	4	no	—
454	#431	—	13	1	no	—
455	#431	—	13	1	no	—
456	#431	—	13	1	no	—
457	#431	—	13	1	no	—
458	#431	—	13	1	no	—
459	#431	—	13	1	no	—
460	#431	—	13	1	no	—
461	#431	—	13	1	no	—
462	#431	—	13	4	no	—
463	#424	—	13	2	no	—
464	#424	—	13	2	no	—
465	#424	—	13	2	no	—
466	#424	C₂×D₁₃	1	2	yes	—
467	#423	—	13	1	no	—
468	#423	C₂×D₁₃	1	1	yes	characteristic
469	C₂×C₄⋊C₈	—	13	1	no	—
470	C₂×C₄⋊C₈	—	13	1	no	—
471	#407	—	13	2	no	—
472	C₂×C₂²⋊C₈	—	13	1	no	—
473	C₂×C₂²⋊C₈	—	13	1	no	—
474	#405	—	13	2	no	—
475	#405	—	13	2	no	—
476	#405	—	13	2	no	—
477	#405	C₂×D₁₃	1	2	yes	—
478	C₄×M₁₆	—	13	2	no	—
479	C₂×C₄×C₈	—	13	1	no	—
480	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
481	C₂²×C₁₃	—	2	1	no	—
482	C₂²×C₁₃	—	2	1	no	—
483	C₂²×C₁₃	#519	1	2	yes	—
484	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
485	C₂×D₁₃	—	2	1	no	—
486	C₂×D₁₃	—	2	1	no	—
487	C₂×D₁₃	—	2	1	no	—
488	C₂×D₁₃	—	2	1	no	—
489	C₂×D₁₃	—	2	1	no	—
490	C₂×D₁₃	—	4	4	no	—
491	C₂×D₁₃	C₂×#131	1	2	yes	—
492	C₄×C₁₃	—	2	4	no	—
493	C₄×C₁₃	—	2	1	no	—
494	C₄×C₁₃	—	2	4	no	—
495	C₄×C₁₃	—	2	1	no	—
496	C₄×C₁₃	#519	1	2	yes	—
497	C₄×C₁₃	C₂×#131	1	2	yes	—
498	C₄×C₁₃	#568	1	2	yes	—
499	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
500	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
501	Dic₁₃	—	2	1	no	—
502	Dic₁₃	—	2	1	no	—
503	Dic₁₃	—	2	4	no	—
504	Dic₁₃	—	2	1	no	—
505	Dic₁₃	—	2	4	no	—
506	Dic₁₃	—	2	1	no	—
507	Dic₁₃	—	2	1	no	—
508	Dic₁₃	C₂×#131	1	2	yes	—
509	C₂²×Q₈	—	13	2	no	—
510	C₂²×Q₈	—	13	2	no	—
511	C₂³×C₄	—	13	1	no	—
512	C₂³×C₄	—	13	1	no	—
513	C₂³×C₄	—	13	1	no	—
514	C₂×M₁₆	—	13	2	no	—
515	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
516	C₂²×C₈	—	13	1	no	—
517	C₂²×C₈	—	13	1	no	—
518	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
519	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
520	C₄⋊Q₈	—	13	2	no	—
521	C₄⋊Q₈	—	13	2	no	—
522	C₄⋊Q₈	—	13	2	no	—
523	C₄⋊Q₈	—	13	2	no	—
524	C₄⋊Q₈	—	13	2	no	—
525	C₄⋊Q₈	—	13	2	no	—
526	C₄⋊Q₈	—	13	1	no	—
527	C₄⋊Q₈	—	13	1	no	—
528	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
529	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
530	#125	—	13	4	no	—
531	#125	—	13	4	no	—
532	#125	—	13	2	no	—
533	#125	—	13	2	no	—
534	#125	—	13	2	no	—
535	#125	C₄×D₁₃	1	2	yes	—
536	C₂²⋊Q₈	—	13	2	no	—
537	C₂²⋊Q₈	—	13	2	no	—
538	C₂²⋊Q₈	—	13	2	no	—
539	C₂²⋊Q₈	—	13	2	no	—
540	C₂²⋊Q₈	—	13	4	no	—
541	C₂²⋊Q₈	—	13	4	no	—
542	C₂²⋊Q₈	—	13	2	no	—
543	C₂²⋊Q₈	—	13	2	no	—
544	C₂²⋊Q₈	—	13	4	no	—
545	C₂²⋊Q₈	—	13	4	no	—
546	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
547	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
548	C₄×Q₈	—	13	2	no	—
549	C₄×Q₈	—	13	2	no	—
550	C₄×Q₈	—	13	2	no	—
551	C₄×Q₈	—	13	2	no	—
552	C₄×Q₈	—	13	4	no	—
553	C₄×Q₈	—	13	4	no	—
554	C₄×Q₈	—	13	4	no	—
555	C₄×Q₈	—	13	2	no	—
556	C₄×Q₈	—	13	2	no	—
557	C₄×Q₈	—	13	4	no	—
558	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
559	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
560	#117	—	13	2	no	—
561	#117	—	13	2	no	—
562	#117	—	13	2	no	—
563	#117	—	13	4	no	—
564	#117	—	13	4	no	—
565	#117	C₂²×D₁₃	1	2	yes	—
566	C₂×C₄⋊C₄	—	13	2	no	—
567	C₂×C₄⋊C₄	—	13	2	no	—
568	C₂×C₄⋊C₄	—	13	4	no	—
569	C₂×C₄⋊C₄	—	13	4	no	—
570	C₂×C₄⋊C₄	—	13	2	no	—
571	C₂×C₄⋊C₄	—	13	2	no	—
572	C₂×C₂²⋊C₄	—	13	4	no	—
573	C₂×C₄²	—	13	1	no	—
574	C₂×C₄²	—	13	1	no	—
575	C₂×C₄²	—	13	1	no	—
576	C₂×C₄²	—	13	1	no	—
577	C₂×C₄²	—	13	1	no	—
578	C₂×C₄²	—	13	1	no	—
579	C₂×C₄²	—	13	1	no	—
580	C₂×C₄²	—	13	4	no	—
581	C₂×C₄²	—	13	1	no	—
582	C₂×C₄²	—	13	1	no	—
583	C₂×C₄²	—	13	1	no	—
584	C₂×C₄²	—	13	1	no	—
585	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
586	C₄⋊C₈	—	13	1	no	—
587	C₄⋊C₈	—	13	1	no	—
588	C₄⋊C₈	—	13	1	no	—
589	C₄⋊C₈	—	13	1	no	—
590	C₄⋊C₈	—	13	1	no	—
591	C₄⋊C₈	—	13	1	no	—
592	C₄⋊C₈	—	13	1	no	—
593	C₄⋊C₈	—	13	1	no	—
594	C₄⋊C₈	—	13	4	no	—
595	C₄⋊C₈	—	13	4	no	—
596	C₄⋊C₈	—	13	4	no	—
597	C₄⋊C₈	—	13	4	no	—
598	C₄⋊C₈	—	13	2	no	—
599	C₄⋊C₈	—	13	2	no	—
600	C₄⋊C₈	—	13	4	no	—
601	C₄⋊C₈	—	13	4	no	—
602	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
603	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
604	C₄⋊C₈	C₂²×D₁₃	1	4	yes	—
605	C₄⋊C₈	C₂²×D₁₃	1	4	yes	—
606	C₂²⋊C₈	—	13	1	no	—
607	C₂²⋊C₈	—	13	1	no	—
608	C₂²⋊C₈	—	13	1	no	—
609	C₂²⋊C₈	—	13	1	no	—
610	C₂²⋊C₈	—	13	1	no	—
611	C₂²⋊C₈	—	13	1	no	—
612	C₂²⋊C₈	—	13	1	no	—
613	C₂²⋊C₈	—	13	1	no	—
614	C₂²⋊C₈	—	13	4	no	—
615	C₂²⋊C₈	—	13	4	no	—
616	#97	—	13	4	no	—
617	#97	—	13	4	no	—
618	#97	—	13	4	no	—
619	#97	—	13	4	no	—
620	#97	C₂²×D₁₃	1	4	yes	—
621	C₄×C₈	—	13	4	no	—
622	C₄×C₈	—	13	4	no	—
623	C₄×C₈	—	13	4	no	—
624	C₄×C₈	—	13	1	no	—
625	C₄×C₈	—	13	1	no	—
626	C₄×C₈	—	13	1	no	—
627	C₄×C₈	—	13	1	no	—
628	C₄×C₈	—	13	4	no	—
629	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
630	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
631	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
632	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
633	C₄×C₈	C₂²×D₁₃	1	4	yes	—
634	C₂×C₁₃	—	2	2	no	—
635	C₂×C₁₃	C₂×#519	1	1	yes	characteristic
636	C₂×C₁₃	C₂²×#131	1	1	yes	characteristic
637	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
638	D₁₃	—	2	2	no	—
639	D₁₃	—	4	1	no	—
640	C₂⁴	—	13	1	no	—
641	C₂×Q₈	—	13	4	no	—
642	C₂×Q₈	—	13	2	no	—
643	C₂×Q₈	—	13	2	no	—
644	C₂×Q₈	—	13	4	no	—
645	C₂×Q₈	—	26	8	no	—
646	C₂×Q₈	—	52	4	no	—
647	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
648	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
649	C₂²×C₄	—	13	1	no	—
650	C₂²×C₄	—	13	1	no	—
651	C₂²×C₄	—	13	1	no	—
652	C₂²×C₄	—	13	1	no	—
653	C₂²×C₄	—	13	1	no	—
654	C₂²×C₄	—	13	1	no	—
655	C₂²×C₄	—	13	1	no	—
656	C₂²×C₄	—	13	1	no	—
657	C₂²×C₄	—	13	1	no	—
658	C₂²×C₄	—	13	1	no	—
659	C₂²×C₄	—	13	1	no	—
660	C₂²×C₄	—	13	4	no	—
661	C₂²×C₄	—	13	1	no	—
662	C₂²×C₄	—	13	1	no	—
663	C₂²×C₄	—	13	1	no	—
664	C₂²×C₄	—	13	1	no	—
665	C₂²×C₄	—	13	4	no	—
666	C₂²×C₄	—	26	4	no	—
667	C₂²×C₄	—	26	2	no	—
668	C₂²×C₄	—	26	2	no	—
669	C₂²×C₄	—	52	2	no	—
670	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
671	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
672	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
673	M₁₆	—	2	4	no	—
674	M₁₆	—	26	4	no	—
675	C₂×C₈	—	2	2	no	—
676	C₂×C₈	—	2	2	no	—
677	C₂×C₈	—	13	1	no	—
678	C₂×C₈	—	13	1	no	—
679	C₂×C₈	—	13	4	no	—
680	C₂×C₈	—	13	1	no	—
681	C₂×C₈	—	13	1	no	—
682	C₂×C₈	—	26	2	no	—
683	C₂×C₈	—	26	2	no	—
684	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
685	C₂×C₈	C₂³×D₁₃	1	4	yes	—
686	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
687	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
688	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
689	C₄⋊C₄	—	13	4	no	—
690	C₄⋊C₄	—	13	4	no	—
691	C₄⋊C₄	—	13	2	no	—
692	C₄⋊C₄	—	13	2	no	—
693	C₄⋊C₄	—	13	4	no	—
694	C₄⋊C₄	—	13	4	no	—
695	C₄⋊C₄	—	13	4	no	—
696	C₄⋊C₄	—	13	4	no	—
697	C₄⋊C₄	—	13	4	no	—
698	C₄⋊C₄	—	13	4	no	—
699	C₄⋊C₄	—	13	4	no	—
700	C₄⋊C₄	—	13	4	no	—
701	C₄⋊C₄	—	13	2	no	—
702	C₄⋊C₄	—	13	2	no	—
703	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
704	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
705	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
706	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
707	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
708	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
709	C₂²⋊C₄	—	13	4	no	—
710	C₂²⋊C₄	—	13	4	no	—
711	C₂²⋊C₄	—	13	4	no	—
712	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
713	C₄²	—	13	1	no	—
714	C₄²	—	13	1	no	—
715	C₄²	—	13	1	no	—
716	C₄²	—	13	1	no	—
717	C₄²	—	13	1	no	—
718	C₄²	—	13	1	no	—
719	C₄²	—	13	1	no	—
720	C₄²	—	13	1	no	—
721	C₄²	—	13	1	no	—
722	C₄²	—	13	1	no	—
723	C₄²	—	13	4	no	—
724	C₄²	—	13	4	no	—
725	C₄²	—	13	1	no	—
726	C₄²	—	13	4	no	—
727	C₄²	—	13	1	no	—
728	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
729	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
730	C₄²	C₂³×D₁₃	1	1	yes	characteristic
731	C₄²	C₂³×D₁₃	1	1	yes	characteristic
732	C₄²	C₂³×D₁₃	1	4	yes	—
733	C₁₃	#60250	1	1	yes	characteristic, complemented, Sylow
734	C₂³	—	13	1	no	—
735	C₂³	—	13	1	no	—
736	C₂³	—	26	2	no	—
737	C₂³	—	26	2	no	—
738	C₂³	—	52	1	no	—
739	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
740	Q₈	—	2	4	no	—
741	Q₈	—	2	4	no	—
742	Q₈	—	26	8	no	—
743	Q₈	—	26	4	no	—
744	Q₈	—	26	4	no	—
745	Q₈	—	52	4	no	—
746	C₂×C₄	—	2	2	no	—
747	C₂×C₄	—	2	2	no	—
748	C₂×C₄	—	13	1	no	—
749	C₂×C₄	—	13	4	no	—
750	C₂×C₄	—	13	1	no	—
751	C₂×C₄	—	13	1	no	—
752	C₂×C₄	—	13	1	no	—
753	C₂×C₄	—	13	1	no	—
754	C₂×C₄	—	13	1	no	—
755	C₂×C₄	—	13	4	no	—
756	C₂×C₄	—	13	4	no	—
757	C₂×C₄	—	26	2	no	—
758	C₂×C₄	—	26	2	no	—
759	C₂×C₄	—	26	8	no	—
760	C₂×C₄	—	26	2	no	—
761	C₂×C₄	—	26	2	no	—
762	C₂×C₄	—	26	2	no	—
763	C₂×C₄	—	26	2	no	—
764	C₂×C₄	—	26	2	no	—
765	C₂×C₄	—	26	2	no	—
766	C₂×C₄	—	26	2	no	—
767	C₂×C₄	—	26	1	no	—
768	C₂×C₄	—	26	1	no	—
769	C₂×C₄	—	26	1	no	—
770	C₂×C₄	—	26	1	no	—
771	C₂×C₄	—	52	1	no	—
772	C₂×C₄	—	52	1	no	—
773	C₂×C₄	—	52	4	no	—
774	C₂×C₄	—	52	1	no	—
775	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
776	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
777	C₂×C₄	C₂²×C₄×D₁₃	1	4	yes	—
778	C₂×C₄	C₂²×C₄×D₁₃	1	4	yes	—
779	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
780	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
781	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
782	C₂×C₄	#88254	1	2	yes	—
783	C₂×C₄	#88257	1	2	yes	—
784	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
785	C₈	—	2	1	no	—
786	C₈	—	2	1	no	—
787	C₈	—	2	1	no	—
788	C₈	—	2	1	no	—
789	C₈	—	2	4	no	—
790	C₈	—	26	1	no	—
791	C₈	—	26	1	no	—
792	C₈	—	26	4	no	—
793	C₈	—	26	1	no	—
794	C₈	—	26	1	no	—
795	C₂²	—	2	1	no	—
796	C₂²	—	2	1	no	—
797	C₂²	—	13	2	no	—
798	C₂²	—	26	1	no	—
799	C₂²	—	26	1	no	—
800	C₂²	—	26	1	no	—
801	C₂²	—	26	1	no	—
802	C₂²	—	26	1	no	—
803	C₂²	—	52	4	no	—
804	C₂²	#11719277	1	2	yes	—
805	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
806	C₄	—	2	1	no	—
807	C₄	—	2	4	no	—
808	C₄	—	2	1	no	—
809	C₄	—	2	4	no	—
810	C₄	—	13	2	no	—
811	C₄	—	26	1	no	—
812	C₄	—	26	4	no	—
813	C₄	—	26	1	no	—
814	C₄	—	26	1	no	—
815	C₄	—	26	4	no	—
816	C₄	—	26	1	no	—
817	C₄	—	26	1	no	—
818	C₄	#11719277	1	2	yes	—
819	C₄	D₁₃×#131	1	2	yes	—
820	C₄	#11719455	1	2	yes	—
821	C₄	C₂×#88254	1	1	yes	characteristic
822	C₄	C₂×#88257	1	1	yes	characteristic
823	C₂	—	2	2	no	—
824	C₂	—	26	2	no	—
825	C₂	—	52	1	no	—
826	C₂	C₂×#11719277	1	1	yes	characteristic
827	C₂	C₂×D₁₃×#131	1	1	yes	characteristic
828	C₂	C₂×#11719455	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2960	C₂
prime radical	C₂³×D₁₃	C₂²×C₄
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#2960	D₁₃
hypocenter	C₁₃	#60250
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #2960

Complements

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

N	H ≅ G/N	type
2. #13123936	C₂	semidirect
3. #13123934	C₂	semidirect
4. #13123932	C₂	semidirect
5. #13123927	C₂	semidirect
6. #13123924	C₂	semidirect
7. #13123922	C₂	semidirect
8. #13123918	C₂	semidirect
9. #13123915	C₂	semidirect
10. #13123782	C₂	semidirect
11. #13123780	C₂	semidirect
12. #13123771	C₂	semidirect
13. #13123770	C₂	semidirect
14. #13123766	C₂	semidirect
19. C₁₃×#2960	C₂	semidirect
39. C₁₃×#446	C₂²	semidirect
40. C₁₃×#446	C₂²	semidirect
41. C₈×Q₈×C₁₃	C₂²	semidirect
42. C₈×Q₈×C₁₃	C₂²	semidirect
57. #11718685	C₂²	semidirect
58. #11718685	C₂²	semidirect
59. Q₈×#1055	C₂²	semidirect
60. Q₈×#1055	C₂²	semidirect
73. #11718492	C₂²	semidirect
74. #11718492	C₂²	semidirect
75. #11718492	C₂²	semidirect
76. #11718491	C₂²	semidirect
77. #11718491	C₂²	semidirect
78. #11718491	C₂²	semidirect
79. #11718489	C₂²	semidirect
80. #11718489	C₂²	semidirect
83. #11718362	C₂²	semidirect
84. #11718362	C₂²	semidirect
95. #11718340	C₂²	semidirect
96. #11718340	C₂²	semidirect
97. #11718340	C₂²	semidirect
98. C₈×Dic₂₆	C₂²	semidirect
99. C₈×Dic₂₆	C₂²	semidirect
100. C₈×Dic₂₆	C₂²	semidirect
334. #2960	D₁₃	semidirect
431. #446	C₂×D₁₃	semidirect
432. #446	C₂×D₁₃	semidirect
441. C₈×Q₈	C₂×D₁₃	semidirect
442. C₈×Q₈	C₂×D₁₃	semidirect
733. C₁₃	#60250	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#533	2
#13123936	2
#13123934	2
#13123932	2
#13123927	2
#13123924	2
#13123922	2
#13123918	2
#13123915	2
#13123782	2
#13123780	2
#13123771	2
#13123770	2
#13123766	2
#13123493	2
#13123491	2
#13123468	2
C₂×#11718346	2
C₁₃×#2960	2
#60250	13