Subgroups — #16727250

Order 3328.

2612 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129605	C₂	1	1	yes	maximal, characteristic
2	#13129547	C₂	1	2	yes	maximal, complemented
3	#13123753	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123752	C₂	1	1	yes	maximal, characteristic, complemented
5	#13123748	C₂	1	4	yes	maximal, complemented
6	#13123742	C₂	1	2	yes	maximal, complemented
7	#13123741	C₂	1	4	yes	maximal, complemented
8	#13123737	C₂	1	2	yes	maximal, complemented
9	#13123734	C₂	1	4	yes	maximal, complemented
10	C₂×#11718361	C₂	1	1	yes	maximal, characteristic, complemented
11	D₁₃×#443	C₂	1	4	yes	maximal, complemented
12	#13123444	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123380	C₂	1	2	yes	maximal, complemented
14	C₄×#88155	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#443	C₂	1	1	yes	maximal, characteristic, complemented
16	#11719648	C₂²	1	2	yes	—
17	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#131	C₂²	1	2	yes	complemented
19	#11719527	C₂²	1	2	yes	—
20	#11719524	C₂²	1	2	yes	complemented
21	#11719476	C₄	1	2	yes	complemented
22	#11719475	C₄	1	4	yes	complemented
23	#11719474	C₄	1	2	yes	complemented
24	#11719473	C₂²	1	4	yes	—
25	D₁₃×#135	C₂²	1	4	yes	—
26	#11719471	C₄	1	2	yes	complemented
27	#11719467	C₄	1	4	yes	complemented
28	#11719462	C₄	1	2	yes	complemented
29	#11719455	—	2	4	no	—
30	#11719455	C₂²	1	8	yes	complemented
31	D₁₃×#131	—	2	4	no	—
32	D₁₃×#131	C₂²	1	8	yes	complemented
33	#11719450	—	2	4	no	—
34	#11719450	C₂²	1	2	yes	—
35	#11719450	C₂²	1	2	yes	complemented
36	C₂×#88158	C₂²	1	1	yes	characteristic
37	C₂×#88155	—	2	4	no	—
38	C₂×#88155	C₂²	1	1	yes	characteristic
39	C₂×#88155	C₂²	1	1	yes	characteristic
40	C₂×#88155	C₂²	1	2	yes	complemented
41	C₄×#6127	C₂²	1	1	yes	characteristic
42	C₁₃×#443	C₂²	1	2	yes	complemented
43	C₁₃×#443	C₂²	1	2	yes	complemented
44	C₁₃×#443	C₂²	1	2	yes	complemented
45	C₁₃×#443	C₂²	1	2	yes	complemented
46	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#104	C₂²	1	2	yes	complemented
48	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
49	#11718897	C₂²	1	2	yes	complemented
50	#11718858	C₂²	1	4	yes	complemented
51	#11718857	C₂²	1	4	yes	complemented
52	#11718806	C₂²	1	8	yes	complemented
53	#11718805	C₂²	1	8	yes	complemented
54	#11718800	C₂²	1	2	yes	complemented
55	#11718785	C₂²	1	2	yes	complemented
56	C₂×#88059	C₂²	1	1	yes	characteristic, complemented
57	#11718762	C₂²	1	1	yes	characteristic, complemented
58	#11718762	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88045	C₂²	1	2	yes	complemented
60	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
61	#11718556	C₂²	1	4	yes	complemented
62	#11718555	C₂²	1	4	yes	complemented
63	#11718554	C₂²	1	4	yes	complemented
64	D₁₃×#108	C₂²	1	4	yes	complemented
65	#11718485	C₂²	1	8	yes	complemented
66	#11718484	C₂²	1	8	yes	complemented
67	#11718482	C₂²	1	8	yes	complemented
68	D₁₃×#104	C₂²	1	8	yes	complemented
69	#11718361	C₂²	1	2	yes	complemented
70	#11718361	C₂²	1	2	yes	complemented
71	#11718361	C₂²	1	2	yes	complemented
72	#11718361	C₂²	1	2	yes	complemented
73	#11718350	C₂²	1	2	yes	complemented
74	#11718350	C₂²	1	2	yes	complemented
75	C₄×#6094	C₂²	1	2	yes	complemented
76	C₄×C₈×D₁₃	C₂²	1	2	yes	complemented
77	C₂×C₁₃×#41	C₂³	1	2	yes	—
78	#88257	—	2	2	no	—
79	#88257	C₂×C₄	1	4	yes	—
80	#88256	—	2	2	no	—
81	#88256	C₂×C₄	1	4	yes	—
82	#41×D₁₃	—	2	4	no	—
83	#41×D₁₃	C₂³	1	8	yes	—
84	#88254	C₂×C₄	1	4	yes	—
85	#88251	—	2	4	no	—
86	#88251	C₂×C₄	1	4	yes	—
87	C₂×#6127	—	2	4	no	—
88	C₂×#6127	C₂³	1	2	yes	—
89	C₂×#6127	C₂³	1	1	yes	characteristic
90	C₁₃×#135	C₂×C₄	1	2	yes	complemented
91	C₁₃×#135	C₂×C₄	1	2	yes	complemented
92	C₁₃×#135	C₂³	1	2	yes	—
93	C₁₃×#135	C₂³	1	2	yes	—
94	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂×C₁₃×SD₁₆	C₂×C₄	1	2	yes	complemented
96	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic, complemented
97	C₁₃×#131	—	2	2	no	—
98	C₁₃×#131	—	2	2	no	—
99	C₁₃×#131	C₂³	1	4	yes	—
100	C₁₃×#131	C₂³	1	4	yes	—
101	C₂×C₁₃×M₁₆	—	2	2	no	—
102	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₃	—	2	2	no	—
104	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
106	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
107	#88205	C₂×C₄	1	4	yes	complemented
108	#88204	C₂³	1	8	yes	—
109	#88203	C₂×C₄	1	4	yes	complemented
110	#88202	—	2	4	no	—
111	#88202	C₂³	1	8	yes	—
112	#88196	C₂×C₄	1	4	yes	complemented
113	#88186	C₂×C₄	1	4	yes	complemented
114	C₄×C₂²⋊D₁₃	—	2	2	no	—
115	#88180	C₂³	1	1	yes	characteristic
116	C₂×#6099	—	2	4	no	—
117	C₂×#6099	C₂³	1	2	yes	—
118	C₂×#6099	C₂³	1	1	yes	characteristic
119	C₂×#6099	C₂³	1	1	yes	characteristic
120	#88173	C₂×C₄	1	4	yes	complemented
121	#88172	C₂×C₄	1	8	yes	complemented
122	Q₁₆×D₁₃	C₂×C₄	1	4	yes	complemented
123	#88170	C₂×C₄	1	8	yes	complemented
124	#88169	C₂×C₄	1	8	yes	complemented
125	#88168	C₂×C₄	1	8	yes	complemented
126	SD₁₆×D₁₃	C₂×C₄	1	8	yes	complemented
127	#88166	C₂×C₄	1	4	yes	complemented
128	#88165	C₂×C₄	1	8	yes	complemented
129	D₈×D₁₃	C₂×C₄	1	4	yes	complemented
130	#88161	—	2	4	no	—
131	#88161	—	2	8	no	—
132	#88161	—	2	8	no	—
133	#88161	C₂³	1	8	yes	—
134	M₁₆×D₁₃	—	2	4	no	—
135	M₁₆×D₁₃	—	2	8	no	—
136	M₁₆×D₁₃	—	2	8	no	—
137	M₁₆×D₁₃	C₂³	1	8	yes	—
138	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic, complemented
139	#88158	C₂×C₄	1	2	yes	complemented
140	#88158	C₂×C₄	1	2	yes	complemented
141	#88158	C₂³	1	2	yes	—
142	#88158	C₂³	1	2	yes	—
143	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic, complemented
144	C₂×#6095	C₂×C₄	1	2	yes	complemented
145	#88155	—	2	4	no	—
146	#88155	—	2	2	no	—
147	#88155	—	2	2	no	—
148	#88155	—	2	4	no	—
149	#88155	—	2	8	no	—
150	#88155	—	2	8	no	—
151	#88155	C₂×C₄	1	2	yes	—
152	#88155	C₂×C₄	1	2	yes	—
153	#88155	C₂×C₄	1	2	yes	—
154	#88155	C₂×C₄	1	2	yes	—
155	#88155	D₄	1	2	yes	—
156	#88155	D₄	1	2	yes	—
157	#88155	D₄	1	2	yes	—
158	#88155	D₄	1	2	yes	—
159	#88155	C₂³	1	4	yes	—
160	#88155	C₂³	1	4	yes	—
161	C₂×#6094	—	2	2	no	—
162	C₂×#6094	—	2	8	no	—
163	C₂×#6094	C₂³	1	2	yes	—
164	C₂×#6094	C₂³	1	2	yes	—
165	C₂×C₈×D₁₃	—	2	2	no	—
166	C₂×C₈×D₁₃	—	2	8	no	—
167	C₂×C₈×D₁₃	C₂³	1	2	yes	—
168	C₂×C₈×D₁₃	C₂³	1	2	yes	—
169	C₄×D₅₂	—	2	1	no	—
170	#88126	C₂³	1	2	yes	—
171	C₄²×D₁₃	C₂³	1	2	yes	—
172	C₄×Dic₂₆	—	2	1	no	—
173	C₁₃×#108	C₂³	1	2	yes	—
174	C₁₃×#108	C₂³	1	2	yes	—
175	C₁₃×#104	C₂³	1	4	yes	—
176	C₁₃×#104	C₂³	1	4	yes	—
177	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
178	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
179	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
181	#88077	C₂³	1	8	yes	—
182	#88065	C₂³	1	8	yes	—
183	#88062	C₂³	1	8	yes	—
184	#88059	C₂³	1	2	yes	—
185	#88059	C₂³	1	2	yes	—
186	#88055	C₂³	1	2	yes	—
187	#88055	C₂³	1	2	yes	—
188	C₈×Dic₁₃	C₂³	1	2	yes	—
189	C₈×Dic₁₃	C₂³	1	2	yes	—
190	#88045	C₂³	1	4	yes	—
191	#88045	C₂³	1	4	yes	—
192	#88043	C₂³	1	2	yes	—
193	C₄×#1055	C₂³	1	2	yes	—
194	#60183	—	13	1	no	maximal, Sylow
195	C₁₃×#41	—	2	2	no	—
196	C₁₃×#41	—	2	2	no	—
197	C₁₃×#41	C₂²×C₄	1	4	yes	—
198	C₁₃×#41	C₂⁴	1	4	yes	—
199	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
200	C₂×D₄×C₁₃	—	2	2	no	—
201	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
202	C₂²×C₄×C₁₃	—	2	2	no	—
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₃	—	2	2	no	—
206	C₂×C₂²⋊D₁₃	—	2	8	no	—
207	C₂×C₂²⋊D₁₃	#41	1	2	yes	—
208	#6131	—	2	4	no	—
209	#6131	C₂²×C₄	1	8	yes	—
210	Q₈×D₁₃	—	2	4	no	—
211	Q₈×D₁₃	C₂²×C₄	1	8	yes	—
212	#6129	—	2	8	no	—
213	#6129	—	2	8	no	—
214	#6129	—	2	4	no	—
215	#6129	C₂²×C₄	1	8	yes	—
216	D₄×D₁₃	—	2	8	no	—
217	D₄×D₁₃	—	2	8	no	—
218	D₄×D₁₃	—	2	4	no	—
219	D₄×D₁₃	C₂²×C₄	1	8	yes	—
220	#6127	—	2	2	no	—
221	#6127	—	2	2	no	—
222	#6127	—	2	8	no	—
223	#6127	—	2	4	no	—
224	#6127	—	2	8	no	—
225	#6127	—	2	4	no	—
226	#6127	C₂²×C₄	1	2	yes	—
227	#6127	C₂²×C₄	1	2	yes	—
228	#6127	C₂²×C₄	1	4	yes	—
229	#6127	C₂×D₄	1	2	yes	—
230	#6127	C₂×D₄	1	2	yes	—
231	#6127	C₂⁴	1	4	yes	—
232	C₂×D₅₂	—	2	4	no	—
233	C₂×D₅₂	C₂²×C₄	1	2	yes	—
234	C₂×D₅₂	#41	1	1	yes	characteristic
235	C₂×C₄×D₁₃	—	2	2	no	—
236	C₂×C₄×D₁₃	—	2	8	no	—
237	C₂×C₄×D₁₃	—	2	2	no	—
238	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
239	C₂×Dic₂₆	—	2	4	no	—
240	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
241	C₂×Dic₂₆	#41	1	1	yes	characteristic
242	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
243	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
244	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	—
245	C₁₃×SD₁₆	C₂²×C₄	1	4	yes	—
246	C₁₃×D₈	C₂²×C₄	1	2	yes	—
247	C₁₃×D₈	C₂²×C₄	1	2	yes	—
248	C₁₃×M₁₆	—	2	2	no	—
249	C₁₃×M₁₆	—	2	4	no	—
250	C₁₃×M₁₆	—	2	4	no	—
251	C₁₃×M₁₆	C₂⁴	1	4	yes	—
252	C₂×C₈×C₁₃	—	2	2	no	—
253	C₂×C₈×C₁₃	—	2	4	no	—
254	C₂×C₈×C₁₃	—	2	4	no	—
255	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
256	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
257	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
258	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
259	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
260	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	1	no	—
268	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
269	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
270	C₂²⋊Dic₁₃	—	2	1	no	—
271	#6107	C₂²×C₄	1	8	yes	—
272	#6106	C₂²×C₄	1	8	yes	—
273	#6105	C₂²×C₄	1	8	yes	—
274	#6104	C₂²×C₄	1	8	yes	—
275	#6103	—	2	2	no	—
276	C₄⋊Dic₁₃	—	2	1	no	—
277	#6101	—	2	2	no	—
278	C₄×Dic₁₃	—	2	2	no	—
279	C₄×Dic₁₃	C₂⁴	1	2	yes	—
280	#6099	—	2	2	no	—
281	#6099	—	2	8	no	—
282	#6099	C₂²×C₄	1	2	yes	—
283	#6099	C₂²×C₄	1	2	yes	—
284	#6099	C₂×D₄	1	2	yes	—
285	#6099	C₂×D₄	1	2	yes	—
286	#6099	C₂⁴	1	4	yes	—
287	C₂×#1055	—	2	2	no	—
288	C₂×#1055	—	2	8	no	—
289	C₂×#1055	C₂⁴	1	2	yes	—
290	C₂×#1055	C₂⁴	1	2	yes	—
291	Dic₅₂	C₂²×C₄	1	2	yes	—
292	Dic₅₂	C₂²×C₄	1	2	yes	—
293	D₁₀₄	C₂²×C₄	1	2	yes	—
294	D₁₀₄	C₂²×C₄	1	2	yes	—
295	#6095	C₂²×C₄	1	4	yes	—
296	#6095	C₂²×C₄	1	4	yes	—
297	#6094	—	2	8	no	—
298	#6094	—	2	4	no	—
299	#6094	—	2	4	no	—
300	#6094	—	2	8	no	—
301	#6094	C₂²×C₄	1	4	yes	—
302	#6094	C₂²×C₄	1	4	yes	—
303	#6094	C₂×D₄	1	4	yes	—
304	#6094	C₂×D₄	1	4	yes	—
305	C₈×D₁₃	—	2	8	no	—
306	C₈×D₁₃	—	2	4	no	—
307	C₈×D₁₃	—	2	4	no	—
308	C₈×D₁₃	—	2	8	no	—
309	C₈×D₁₃	C₂²×C₄	1	4	yes	—
310	C₈×D₁₃	C₂²×C₄	1	4	yes	—
311	C₈×D₁₃	C₂×D₄	1	4	yes	—
312	C₈×D₁₃	C₂×D₄	1	4	yes	—
313	#3584	—	13	1	no	—
314	#3573	—	13	2	no	—
315	#2957	—	13	4	no	—
316	#2957	—	13	1	no	—
317	#2957	—	13	1	no	—
318	#2956	—	13	4	no	—
319	#2956	—	13	2	no	—
320	#2955	—	13	4	no	—
321	#2955	—	13	2	no	—
322	C₂×#443	—	13	4	no	—
323	C₂×#443	—	13	1	no	—
324	C₂×#443	D₁₃	1	1	yes	characteristic, complemented
325	#2916	—	13	1	no	—
326	#2901	—	13	2	no	—
327	C₄×#131	—	13	1	no	—
328	C₂³×C₁₃	—	2	2	no	—
329	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
330	C₂²×D₁₃	—	2	2	no	—
331	C₂²×D₁₃	—	2	8	no	—
332	C₂²×D₁₃	C₂×#41	1	2	yes	—
333	Q₈×C₁₃	—	2	2	no	—
334	Q₈×C₁₃	C₂³×C₄	1	4	yes	—
335	D₄×C₁₃	—	2	4	no	—
336	D₄×C₁₃	—	2	4	no	—
337	D₄×C₁₃	—	2	2	no	—
338	D₄×C₁₃	C₂³×C₄	1	4	yes	—
339	C₂×C₄×C₁₃	—	2	2	no	—
340	C₂×C₄×C₁₃	—	2	1	no	—
341	C₂×C₄×C₁₃	—	2	4	no	—
342	C₂×C₄×C₁₃	—	2	4	no	—
343	C₂×C₄×C₁₃	—	2	1	no	—
344	C₂×C₄×C₁₃	—	4	2	no	—
345	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
347	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
349	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
350	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
351	C₂²⋊D₁₃	—	2	4	no	—
352	C₂²⋊D₁₃	—	2	4	no	—
353	C₂²⋊D₁₃	—	2	8	no	—
354	C₂²⋊D₁₃	—	2	8	no	—
355	C₂²⋊D₁₃	C₄×D₄	1	4	yes	—
356	C₂²⋊D₁₃	C₄×D₄	1	4	yes	—
357	C₂×Dic₁₃	—	2	2	no	—
358	C₂×Dic₁₃	—	2	8	no	—
359	C₂×Dic₁₃	—	2	2	no	—
360	C₂×Dic₁₃	C₂×#41	1	2	yes	—
361	D₅₂	—	2	8	no	—
362	D₅₂	—	2	2	no	—
363	D₅₂	C₄×D₄	1	2	yes	—
364	D₅₂	C₄×D₄	1	2	yes	—
365	D₅₂	C₂³×C₄	1	4	yes	—
366	C₄×D₁₃	—	2	8	no	—
367	C₄×D₁₃	—	2	4	no	—
368	C₄×D₁₃	—	2	4	no	—
369	C₄×D₁₃	—	2	8	no	—
370	C₄×D₁₃	—	4	4	no	—
371	C₄×D₁₃	C₂³×C₄	1	4	yes	—
372	C₄×D₁₃	C₂²×D₄	1	4	yes	—
373	Dic₂₆	—	2	2	no	—
374	Dic₂₆	—	2	8	no	—
375	Dic₂₆	C₄×D₄	1	2	yes	—
376	Dic₂₆	C₄×D₄	1	2	yes	—
377	Dic₂₆	C₂³×C₄	1	4	yes	—
378	C₈×C₁₃	—	2	4	no	—
379	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
380	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
381	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
382	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
383	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
384	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
385	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
386	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
387	#1055	—	2	4	no	—
388	#1055	C₂³×C₄	1	4	yes	—
389	#1055	C₂²×D₄	1	4	yes	—
390	#585	—	13	2	no	—
391	#578	—	13	2	no	—
392	#578	—	13	2	no	—
393	#577	—	13	4	no	—
394	#577	—	13	4	no	—
395	#576	—	13	2	no	—
396	#576	—	13	2	no	—
397	#575	—	13	2	no	—
398	#575	—	13	4	no	—
399	C₂×#135	—	13	4	no	—
400	C₂×#135	—	13	1	no	—
401	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
402	#568	—	13	2	no	—
403	#568	—	13	2	no	—
404	#568	—	13	8	no	—
405	#568	—	13	2	no	—
406	#568	—	26	4	no	—
407	#568	—	26	4	no	—
408	C₂×#131	—	13	1	no	—
409	C₂×#131	—	13	1	no	—
410	C₂×#131	—	13	8	no	—
411	C₂×#131	—	13	2	no	—
412	C₂×#131	—	26	4	no	—
413	C₂×#131	—	26	4	no	—
414	C₂×#131	C₂×D₁₃	1	2	yes	complemented
415	C₄×#41	—	13	1	no	—
416	#444	—	13	4	no	—
417	#444	—	13	8	no	—
418	#444	—	13	4	no	—
419	#444	—	13	8	no	—
420	#443	—	13	4	no	—
421	#443	—	13	8	no	—
422	#443	—	13	4	no	—
423	#443	—	13	8	no	—
424	#443	—	13	2	no	—
425	#443	—	13	2	no	—
426	#443	—	13	2	no	—
427	#443	—	13	2	no	—
428	#443	C₂×D₁₃	1	2	yes	complemented
429	#443	C₂×D₁₃	1	2	yes	complemented
430	#443	C₂×D₁₃	1	2	yes	complemented
431	#443	C₂×D₁₃	1	2	yes	complemented
432	#430	—	13	2	no	—
433	#430	—	13	4	no	—
434	C₂×#108	—	13	1	no	—
435	C₂×#108	—	13	4	no	—
436	C₂×#108	C₂×D₁₃	1	1	yes	characteristic, complemented
437	#421	—	13	2	no	—
438	#421	—	13	2	no	—
439	#421	—	13	8	no	—
440	C₂×#104	—	13	2	no	—
441	C₂×#104	—	13	8	no	—
442	C₂×#104	C₂×D₁₃	1	2	yes	complemented
443	#405	—	13	1	no	—
444	#405	—	13	1	no	—
445	#405	—	13	2	no	—
446	#405	—	13	2	no	—
447	C₄×M₁₆	—	13	1	no	—
448	C₄×M₁₆	—	13	2	no	—
449	C₂×C₄×C₈	—	13	2	no	—
450	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
451	C₂²×C₁₃	—	2	4	no	—
452	C₂²×C₁₃	—	4	1	no	—
453	C₂²×C₁₃	—	8	2	no	—
454	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
455	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
456	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
457	C₂×D₁₃	—	2	4	no	—
458	C₂×D₁₃	—	4	2	no	—
459	C₂×D₁₃	—	8	8	no	—
460	C₂×D₁₃	—	8	2	no	—
461	C₂×D₁₃	C₂×C₄×D₄	1	4	yes	—
462	C₄×C₁₃	—	2	2	no	—
463	C₄×C₁₃	—	2	4	no	—
464	C₄×C₁₃	—	4	1	no	—
465	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
466	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
467	C₄×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
468	C₄×C₁₃	C₂³×D₄	1	1	yes	characteristic
469	Dic₁₃	—	2	4	no	—
470	Dic₁₃	—	4	2	no	—
471	Dic₁₃	C₂×C₄×D₄	1	4	yes	—
472	2₋¹⁺⁴	—	13	4	no	—
473	2₋¹⁺⁴	—	13	4	no	—
474	2₋¹⁺⁴	—	26	2	no	—
475	H(5,𝔽₂)	—	13	4	no	—
476	H(5,𝔽₂)	—	13	4	no	—
477	H(5,𝔽₂)	—	26	4	no	—
478	H(5,𝔽₂)	—	26	2	no	—
479	C₂×#41	—	13	1	no	—
480	C₂×#41	—	13	8	no	—
481	C₂×#41	—	13	2	no	—
482	C₂×#41	—	26	4	no	—
483	C₂×#41	—	26	4	no	—
484	C₂×#41	C₂²×D₁₃	1	2	yes	—
485	#137	—	13	4	no	—
486	#137	—	13	4	no	—
487	#137	—	13	8	no	—
488	#137	—	13	8	no	—
489	AGL(1,ℤ/8)	—	13	4	no	—
490	AGL(1,ℤ/8)	—	13	4	no	—
491	AGL(1,ℤ/8)	—	13	8	no	—
492	AGL(1,ℤ/8)	—	13	8	no	—
493	#135	—	13	8	no	—
494	#135	—	13	4	no	—
495	#135	—	13	8	no	—
496	#135	—	13	4	no	—
497	#135	—	13	2	no	—
498	#135	—	13	2	no	—
499	#135	—	13	2	no	—
500	#135	—	13	2	no	—
501	#135	C₄×D₁₃	1	2	yes	complemented
502	#135	C₄×D₁₃	1	2	yes	complemented
503	#135	C₂²×D₁₃	1	2	yes	—
504	#135	C₂²×D₁₃	1	2	yes	—
505	C₂×Q₁₆	—	13	4	no	—
506	C₂×Q₁₆	—	13	1	no	—
507	C₂×Q₁₆	C₄×D₁₃	1	1	yes	characteristic, complemented
508	C₂×SD₁₆	—	13	8	no	—
509	C₂×SD₁₆	—	13	2	no	—
510	C₂×SD₁₆	C₄×D₁₃	1	2	yes	complemented
511	C₂×D₈	—	13	4	no	—
512	C₂×D₈	—	13	1	no	—
513	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic, complemented
514	#131	—	2	2	no	—
515	#131	—	2	2	no	—
516	#131	—	13	2	no	—
517	#131	—	13	2	no	—
518	#131	—	13	2	no	—
519	#131	—	13	2	no	—
520	#131	—	13	2	no	—
521	#131	—	13	2	no	—
522	#131	—	13	2	no	—
523	#131	—	13	2	no	—
524	#131	—	13	8	no	—
525	#131	—	13	8	no	—
526	#131	—	13	4	no	—
527	#131	—	13	4	no	—
528	#131	—	26	8	no	—
529	#131	—	26	4	no	—
530	#131	—	26	8	no	—
531	#131	—	26	4	no	—
532	#131	—	26	8	no	—
533	#131	—	26	8	no	—
534	#131	—	26	4	no	—
535	#131	—	26	4	no	—
536	#131	—	26	2	no	—
537	#131	—	26	2	no	—
538	#131	C₂²×D₁₃	1	4	yes	—
539	#131	C₂²×D₁₃	1	4	yes	—
540	C₂×M₁₆	—	2	2	no	—
541	C₂×M₁₆	—	13	1	no	—
542	C₂×M₁₆	—	13	1	no	—
543	C₂×M₁₆	—	13	2	no	—
544	C₂×M₁₆	—	13	2	no	—
545	C₂×M₁₆	—	13	2	no	—
546	C₂×M₁₆	—	13	8	no	—
547	C₂×M₁₆	—	26	8	no	—
548	C₂×M₁₆	—	26	8	no	—
549	C₂×M₁₆	—	26	4	no	—
550	C₂×M₁₆	—	26	8	no	—
551	C₂×M₁₆	—	26	4	no	—
552	C₂×M₁₆	—	26	2	no	—
553	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
554	C₂²×C₈	—	2	2	no	—
555	C₂²×C₈	—	13	2	no	—
556	C₂²×C₈	—	13	2	no	—
557	C₂²×C₈	—	26	8	no	—
558	C₂²×C₈	—	26	2	no	—
559	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
560	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
561	C₄×Q₈	—	26	1	no	—
562	C₄×D₄	—	26	1	no	—
563	C₄×D₄	—	26	2	no	—
564	#117	—	13	1	no	—
565	#117	—	13	2	no	—
566	C₂×C₄²	—	13	2	no	—
567	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
568	#108	—	13	8	no	—
569	#108	—	13	2	no	—
570	#108	—	13	2	no	—
571	#108	C₂²×D₁₃	1	2	yes	—
572	#108	C₂²×D₁₃	1	2	yes	—
573	#104	—	13	8	no	—
574	#104	—	13	8	no	—
575	#104	—	13	4	no	—
576	#104	—	13	4	no	—
577	#104	C₂²×D₁₃	1	4	yes	—
578	#104	C₂²×D₁₃	1	4	yes	—
579	#97	—	13	2	no	—
580	#97	—	13	2	no	—
581	#97	—	13	2	no	—
582	C₄×C₈	—	13	2	no	—
583	C₄×C₈	—	13	2	no	—
584	C₄×C₈	—	13	2	no	—
585	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
586	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
587	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
588	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
589	C₂×C₁₃	—	2	1	no	—
590	C₂×C₁₃	—	2	1	no	—
591	C₂×C₁₃	—	2	1	no	—
592	C₂×C₁₃	—	4	4	no	—
593	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
594	D₁₃	—	2	4	no	—
595	D₁₃	—	4	4	no	—
596	#41	—	2	2	no	—
597	#41	—	2	2	no	—
598	#41	—	13	2	no	—
599	#41	—	13	2	no	—
600	#41	—	13	2	no	—
601	#41	—	13	2	no	—
602	#41	—	13	8	no	—
603	#41	—	13	8	no	—
604	#41	—	13	4	no	—
605	#41	—	13	4	no	—
606	#41	—	26	8	no	—
607	#41	—	26	8	no	—
608	#41	—	26	4	no	—
609	#41	—	26	4	no	—
610	#41	—	26	8	no	—
611	#41	—	26	8	no	—
612	#41	—	26	4	no	—
613	#41	—	26	4	no	—
614	#41	—	26	2	no	—
615	#41	—	26	2	no	—
616	#41	C₂×C₄×D₁₃	1	4	yes	—
617	#41	C₂³×D₁₃	1	4	yes	—
618	C₂×Q₈	—	13	1	no	—
619	C₂×Q₈	—	13	8	no	—
620	C₂×Q₈	—	13	2	no	—
621	C₂×Q₈	—	26	4	no	—
622	C₂×Q₈	—	26	4	no	—
623	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
624	C₂×D₄	—	2	2	no	—
625	C₂×D₄	—	13	2	no	—
626	C₂×D₄	—	13	8	no	—
627	C₂×D₄	—	13	2	no	—
628	C₂×D₄	—	13	1	no	—
629	C₂×D₄	—	26	4	no	—
630	C₂×D₄	—	26	8	no	—
631	C₂×D₄	—	26	4	no	—
632	C₂×D₄	—	26	8	no	—
633	C₂×D₄	—	26	8	no	—
634	C₂×D₄	—	26	2	no	—
635	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
636	C₂²×C₄	—	2	2	no	—
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	13	2	no	—
639	C₂²×C₄	—	26	8	no	—
640	C₂²×C₄	—	26	2	no	—
641	C₂²×C₄	—	26	2	no	—
642	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
643	Q₁₆	—	13	8	no	—
644	Q₁₆	—	13	2	no	—
645	Q₁₆	—	13	2	no	—
646	Q₁₆	C₂×C₄×D₁₃	1	2	yes	—
647	Q₁₆	C₂×C₄×D₁₃	1	2	yes	—
648	SD₁₆	—	13	8	no	—
649	SD₁₆	—	13	8	no	—
650	SD₁₆	—	13	4	no	—
651	SD₁₆	—	13	4	no	—
652	SD₁₆	C₂×C₄×D₁₃	1	4	yes	—
653	SD₁₆	C₂×C₄×D₁₃	1	4	yes	—
654	D₈	—	13	8	no	—
655	D₈	—	13	2	no	—
656	D₈	—	13	2	no	—
657	D₈	C₂×C₄×D₁₃	1	2	yes	—
658	D₈	C₂×C₄×D₁₃	1	2	yes	—
659	M₁₆	—	2	2	no	—
660	M₁₆	—	2	4	no	—
661	M₁₆	—	2	4	no	—
662	M₁₆	—	13	2	no	—
663	M₁₆	—	13	2	no	—
664	M₁₆	—	13	2	no	—
665	M₁₆	—	13	2	no	—
666	M₁₆	—	13	4	no	—
667	M₁₆	—	13	4	no	—
668	M₁₆	—	13	4	no	—
669	M₁₆	—	13	4	no	—
670	M₁₆	—	13	4	no	—
671	M₁₆	—	26	8	no	—
672	M₁₆	—	26	8	no	—
673	M₁₆	—	26	8	no	—
674	M₁₆	—	26	2	no	—
675	M₁₆	—	26	4	no	—
676	M₁₆	—	26	4	no	—
677	M₁₆	C₂³×D₁₃	1	4	yes	—
678	C₂×C₈	—	2	2	no	—
679	C₂×C₈	—	2	4	no	—
680	C₂×C₈	—	2	4	no	—
681	C₂×C₈	—	13	2	no	—
682	C₂×C₈	—	13	2	no	—
683	C₂×C₈	—	13	4	no	—
684	C₂×C₈	—	13	4	no	—
685	C₂×C₈	—	13	4	no	—
686	C₂×C₈	—	13	4	no	—
687	C₂×C₈	—	26	8	no	—
688	C₂×C₈	—	26	8	no	—
689	C₂×C₈	—	26	8	no	—
690	C₂×C₈	—	26	2	no	—
691	C₂×C₈	—	26	4	no	—
692	C₂×C₈	—	26	4	no	—
693	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
694	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
695	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
696	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
697	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
698	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
699	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
700	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
701	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
702	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
703	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
704	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
705	C₄⋊C₄	—	26	2	no	—
706	C₄⋊C₄	—	26	1	no	—
707	C₂²⋊C₄	—	26	2	no	—
708	C₂²⋊C₄	—	26	1	no	—
709	C₄²	—	2	1	no	—
710	C₄²	—	13	2	no	—
711	C₄²	—	26	2	no	—
712	C₄²	C₂³×D₁₃	1	1	yes	characteristic
713	C₄²	C₂³×D₁₃	1	1	yes	characteristic
714	C₁₃	#60183	1	1	yes	characteristic, complemented, Sylow
715	C₂³	—	2	2	no	—
716	C₂³	—	13	2	no	—
717	C₂³	—	26	8	no	—
718	C₂³	—	26	2	no	—
719	C₂³	#41×D₁₃	1	1	yes	characteristic
720	Q₈	—	2	2	no	—
721	Q₈	—	13	2	no	—
722	Q₈	—	13	2	no	—
723	Q₈	—	13	4	no	—
724	Q₈	—	26	8	no	—
725	Q₈	—	26	2	no	—
726	Q₈	C₂²×C₄×D₁₃	1	4	yes	—
727	D₄	—	2	4	no	—
728	D₄	—	2	4	no	—
729	D₄	—	2	2	no	—
730	D₄	—	13	4	no	—
731	D₄	—	13	4	no	—
732	D₄	—	13	2	no	—
733	D₄	—	13	2	no	—
734	D₄	—	13	4	no	—
735	D₄	—	26	8	no	—
736	D₄	—	26	8	no	—
737	D₄	—	26	8	no	—
738	D₄	—	26	4	no	—
739	D₄	—	26	4	no	—
740	D₄	—	26	2	no	—
741	D₄	C₂²×C₄×D₁₃	1	4	yes	—
742	C₂×C₄	—	2	2	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	4	2	no	—
748	C₂×C₄	—	13	2	no	—
749	C₂×C₄	—	13	4	no	—
750	C₂×C₄	—	13	4	no	—
751	C₂×C₄	—	26	8	no	—
752	C₂×C₄	—	26	8	no	—
753	C₂×C₄	—	26	8	no	—
754	C₂×C₄	—	26	2	no	—
755	C₂×C₄	—	26	4	no	—
756	C₂×C₄	—	26	4	no	—
757	C₂×C₄	—	26	2	no	—
758	C₂×C₄	—	52	4	no	—
759	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
760	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
761	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
762	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
763	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
764	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
765	C₈	—	2	4	no	—
766	C₈	—	13	4	no	—
767	C₈	—	13	4	no	—
768	C₈	—	26	4	no	—
769	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
770	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
771	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
772	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
773	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
774	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
775	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
776	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
777	C₂²	—	2	4	no	—
778	C₂²	—	4	1	no	—
779	C₂²	—	8	2	no	—
780	C₂²	—	13	4	no	—
781	C₂²	—	26	4	no	—
782	C₂²	—	52	2	no	—
783	C₂²	—	104	2	no	—
784	C₂²	—	104	8	no	—
785	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
786	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
787	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
788	C₄	—	2	2	no	—
789	C₄	—	2	4	no	—
790	C₄	—	4	1	no	—
791	C₄	—	13	4	no	—
792	C₄	—	26	4	no	—
793	C₄	—	52	2	no	—
794	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
795	C₄	C₄×D₄×D₁₃	1	1	yes	characteristic
796	C₄	C₂³×C₄×D₁₃	1	1	yes	characteristic
797	C₄	C₂²×D₄×D₁₃	1	1	yes	characteristic
798	C₂	—	2	1	no	—
799	C₂	—	2	1	no	—
800	C₂	—	2	1	no	—
801	C₂	—	4	4	no	—
802	C₂	—	26	4	no	—
803	C₂	—	52	4	no	—
804	C₂	C₂×C₄×D₄×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₄×D₁₃
commutator	C₄×C₁₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#443	C₂
socle	C₂×C₁₃	C₂²×C₄×D₄
prime radical	#13129605	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	C₂×#443	D₁₃
hypocenter	C₁₃	#60183
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₈ ◁ C₂²×C₈ ◁ C₂×#443

Complements

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

N	H ≅ G/N	type
2. #13129547	C₂	semidirect
3. #13123753	C₂	semidirect
4. #13123752	C₂	semidirect
5. #13123748	C₂	semidirect
6. #13123742	C₂	semidirect
7. #13123741	C₂	semidirect
8. #13123737	C₂	semidirect
9. #13123734	C₂	semidirect
10. C₂×#11718361	C₂	semidirect
11. D₁₃×#443	C₂	semidirect
12. #13123444	C₂	semidirect
13. #13123380	C₂	semidirect
14. C₄×#88155	C₂	semidirect
15. C₂×C₁₃×#443	C₂	semidirect
18. C₂×C₁₃×#131	C₂²	semidirect
20. #11719524	C₂²	semidirect
21. #11719476	C₄	semidirect
22. #11719475	C₄	semidirect
23. #11719474	C₄	semidirect
26. #11719471	C₄	semidirect
27. #11719467	C₄	semidirect
28. #11719462	C₄	semidirect
30. #11719455	C₂²	semidirect
32. D₁₃×#131	C₂²	semidirect
35. #11719450	C₂²	semidirect
40. C₂×#88155	C₂²	semidirect
42. C₁₃×#443	C₂²	semidirect
43. C₁₃×#443	C₂²	semidirect
44. C₁₃×#443	C₂²	semidirect
45. C₁₃×#443	C₂²	semidirect
46. C₂×C₁₃×#108	C₂²	semidirect
47. C₂×C₁₃×#104	C₂²	semidirect
48. C₂×C₄×C₈×C₁₃	C₂²	semidirect
49. #11718897	C₂²	semidirect
50. #11718858	C₂²	semidirect
51. #11718857	C₂²	semidirect
52. #11718806	C₂²	semidirect
53. #11718805	C₂²	semidirect
54. #11718800	C₂²	semidirect
55. #11718785	C₂²	semidirect
56. C₂×#88059	C₂²	semidirect
57. #11718762	C₂²	semidirect
58. #11718762	C₂²	semidirect
59. C₂×#88045	C₂²	semidirect
60. C₄×#6099	C₂²	semidirect
61. #11718556	C₂²	semidirect
62. #11718555	C₂²	semidirect
63. #11718554	C₂²	semidirect
64. D₁₃×#108	C₂²	semidirect
65. #11718485	C₂²	semidirect
66. #11718484	C₂²	semidirect
67. #11718482	C₂²	semidirect
68. D₁₃×#104	C₂²	semidirect
69. #11718361	C₂²	semidirect
70. #11718361	C₂²	semidirect
71. #11718361	C₂²	semidirect
72. #11718361	C₂²	semidirect
73. #11718350	C₂²	semidirect
74. #11718350	C₂²	semidirect
75. C₄×#6094	C₂²	semidirect
76. C₄×C₈×D₁₃	C₂²	semidirect
90. C₁₃×#135	C₂×C₄	semidirect
91. C₁₃×#135	C₂×C₄	semidirect
94. C₂×C₁₃×Q₁₆	C₂×C₄	semidirect
95. C₂×C₁₃×SD₁₆	C₂×C₄	semidirect
96. C₂×C₁₃×D₈	C₂×C₄	semidirect
107. #88205	C₂×C₄	semidirect
109. #88203	C₂×C₄	semidirect
112. #88196	C₂×C₄	semidirect
113. #88186	C₂×C₄	semidirect
120. #88173	C₂×C₄	semidirect
121. #88172	C₂×C₄	semidirect
122. Q₁₆×D₁₃	C₂×C₄	semidirect
123. #88170	C₂×C₄	semidirect
124. #88169	C₂×C₄	semidirect
125. #88168	C₂×C₄	semidirect
126. SD₁₆×D₁₃	C₂×C₄	semidirect
127. #88166	C₂×C₄	semidirect
128. #88165	C₂×C₄	semidirect
129. D₈×D₁₃	C₂×C₄	semidirect
138. C₂×Dic₅₂	C₂×C₄	semidirect
139. #88158	C₂×C₄	semidirect
140. #88158	C₂×C₄	semidirect
143. C₂×D₁₀₄	C₂×C₄	semidirect
144. C₂×#6095	C₂×C₄	semidirect
324. C₂×#443	D₁₃	semidirect
414. C₂×#131	C₂×D₁₃	semidirect
428. #443	C₂×D₁₃	semidirect
429. #443	C₂×D₁₃	semidirect
430. #443	C₂×D₁₃	semidirect
431. #443	C₂×D₁₃	semidirect
436. C₂×#108	C₂×D₁₃	semidirect
442. C₂×#104	C₂×D₁₃	semidirect
450. C₂×C₄×C₈	C₂×D₁₃	semidirect
501. #135	C₄×D₁₃	semidirect
502. #135	C₄×D₁₃	semidirect
507. C₂×Q₁₆	C₄×D₁₃	semidirect
510. C₂×SD₁₆	C₄×D₁₃	semidirect
513. C₂×D₈	C₄×D₁₃	semidirect
714. C₁₃	#60183	semidirect

Maximal subgroups

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

subgroup	index
#13129605	2
#13129547	2
#13123753	2
#13123752	2
#13123748	2
#13123742	2
#13123741	2
#13123737	2
#13123734	2
C₂×#11718361	2
D₁₃×#443	2
#13123444	2
#13123380	2
C₄×#88155	2
C₂×C₁₃×#443	2
#60183	13