Subgroups — D₁₃⋊#1747 #16796862

Order 3328.

930 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719089	C₂	1	2	yes	maximal
2	#13130558	C₂	1	4	yes	maximal, complemented
3	#13130557	C₂	1	4	yes	maximal, complemented
4	D₁₃⋊#338	C₂	1	1	yes	maximal, characteristic
5	#13130508	C₂	1	1	yes	maximal, characteristic
6	#13130506	C₂	1	2	yes	maximal
7	D₁₃×#405	C₂	1	1	yes	maximal, characteristic
8	C₂×#88237	C₂²	1	2	yes	—
9	C₂×D₁₃⋊M₁₆	C₂²	1	2	yes	—
10	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
11	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
12	D₁₃×#117	C₂²	1	1	yes	characteristic
13	#11719089	C₄	1	4	yes	complemented
14	#11719089	C₄	1	4	yes	complemented
15	#11719089	C₂²	1	4	yes	—
16	#11719089	C₂²	1	4	yes	—
17	C₂×#88100	C₄	1	4	yes	complemented
18	C₂×C₈×#261	C₄	1	4	yes	complemented
19	C₁₃×#405	C₄	1	1	yes	characteristic, complemented
20	#11718783	C₄	1	1	yes	characteristic, complemented
21	#11718762	C₄	1	1	yes	characteristic, complemented
22	#11718658	C₄	1	1	yes	characteristic, complemented
23	#11718369	C₂²	1	2	yes	—
24	D₁₃×#97	C₄	1	2	yes	complemented
25	#11718350	C₂²	1	2	yes	—
26	C₄×C₈×D₁₃	C₄	1	2	yes	complemented
27	#11718269	C₂²	1	4	yes	—
28	#11718267	C₂²	1	4	yes	—
29	#11718235	C₂²	1	8	yes	—
30	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
31	C₂×C₂²⋊#261	—	2	2	no	—
32	C₂×#6122	—	2	2	no	—
33	#88237	—	2	2	no	—
34	#88237	—	2	2	no	—
35	#88237	C₂×C₄	1	4	yes	—
36	#88237	C₂³	1	4	yes	—
37	C₂×C₄⋊#261	—	2	2	no	—
38	C₂×C₄×#261	C₂×C₄	1	4	yes	—
39	D₁₃⋊M₁₆	—	2	2	no	—
40	D₁₃⋊M₁₆	—	2	2	no	—
41	D₁₃⋊M₁₆	C₂×C₄	1	4	yes	—
42	D₁₃⋊M₁₆	C₂³	1	4	yes	—
43	C₂×#6118	—	2	2	no	—
44	C₂×D₁₃⋊C₈	C₂×C₄	1	4	yes	—
45	C₂×C₁₃×M₁₆	C₂×C₄	1	1	yes	characteristic
46	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
47	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
48	#88180	C₂×C₄	1	1	yes	characteristic
49	C₂×#6099	C₂×C₄	1	1	yes	characteristic
50	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
51	M₁₆×D₁₃	—	2	2	no	—
52	M₁₆×D₁₃	—	2	2	no	—
53	C₂×#6094	C₂³	1	2	yes	—
54	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
55	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
56	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
57	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
58	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
59	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
60	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
61	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
62	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
63	#88146	—	2	1	no	—
64	C₄⋊C₄×D₁₃	—	2	1	no	—
65	C₂²⋊C₄×D₁₃	—	2	1	no	—
66	#88131	—	2	1	no	—
67	#88126	C₂³	1	2	yes	—
68	C₄²×D₁₃	C₂×C₄	1	2	yes	—
69	#88100	C₂×C₄	1	8	yes	complemented
70	#88100	C₂×C₄	1	8	yes	complemented
71	C₈×#261	C₂×C₄	1	8	yes	complemented
72	C₈×#261	C₂×C₄	1	8	yes	complemented
73	C₁₃×#97	C₂×C₄	1	2	yes	complemented
74	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	complemented
75	#88055	C₂×C₄	1	2	yes	complemented
76	#88055	C₂×C₄	1	2	yes	complemented
77	C₈×Dic₁₃	C₂×C₄	1	2	yes	complemented
78	C₈×Dic₁₃	C₂×C₄	1	2	yes	complemented
79	#88043	C₂×C₄	1	2	yes	complemented
80	C₄×#1055	C₂×C₄	1	2	yes	complemented
81	C₂×#1747	—	13	1	no	maximal, Sylow
82	C₂³×D₁₃	#41	1	1	yes	characteristic
83	C₂²×#261	—	2	4	no	—
84	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×Dic₁₃	#41	1	1	yes	characteristic
86	C₂×C₄×D₁₃	—	2	2	no	—
87	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
88	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
89	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
90	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
91	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
92	C₂×C₄×D₁₃	#41	1	2	yes	—
93	C₂×C₄×D₁₃	#41	1	2	yes	—
94	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
95	C₂²⋊#261	—	2	4	no	—
96	C₂²⋊#261	—	2	4	no	—
97	#6122	—	2	4	no	—
98	#6122	—	2	4	no	—
99	C₂×#1057	—	2	4	no	—
100	C₄⋊#261	—	2	4	no	—
101	C₄⋊#261	—	2	4	no	—
102	C₄×#261	—	2	4	no	—
103	C₄×#261	C₂²×C₄	1	8	yes	—
104	#6118	—	2	4	no	—
105	#6118	—	2	4	no	—
106	D₁₃⋊C₈	—	2	4	no	—
107	D₁₃⋊C₈	C₂²×C₄	1	8	yes	—
108	C₁₃×M₁₆	—	2	2	no	—
109	C₂×C₈×C₁₃	C₄²	1	2	yes	—
110	C₂×C₈×C₁₃	C₄²	1	2	yes	—
111	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
112	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₁₃×C₄⋊C₄	—	2	1	no	—
115	C₁₃×C₂²⋊C₄	—	2	1	no	—
116	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
117	C₂²⋊Dic₁₃	—	2	1	no	—
118	#6103	—	2	2	no	—
119	C₄⋊Dic₁₃	—	2	1	no	—
120	#6101	—	2	2	no	—
121	C₄×Dic₁₃	—	2	2	no	—
122	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
123	#6099	—	2	2	no	—
124	C₂×#1055	C₄²	1	2	yes	—
125	C₂×#1055	C₄²	1	2	yes	—
126	C₂×#1055	C₂²×C₄	1	2	yes	—
127	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
128	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
129	#6094	—	2	4	no	—
130	C₈×D₁₃	—	2	2	no	—
131	C₈×D₁₃	—	2	2	no	—
132	C₈×D₁₃	C₄²	1	1	yes	characteristic
133	C₈×D₁₃	C₄²	1	1	yes	characteristic
134	C₈×D₁₃	C₄²	1	2	yes	—
135	C₈×D₁₃	C₄²	1	2	yes	—
136	C₈×D₁₃	C₄²	1	1	yes	characteristic
137	C₈×D₁₃	C₄²	1	1	yes	characteristic
138	C₈×D₁₃	C₂²×C₄	1	2	yes	—
139	C₈×D₁₃	C₂²×C₄	1	2	yes	—
140	C₈×D₁₃	C₂²×C₄	1	2	yes	—
141	C₈×D₁₃	C₂²×C₄	1	2	yes	—
142	C₂×#405	—	13	2	no	—
143	C₂×#405	—	13	1	no	—
144	#1747	—	13	4	no	—
145	#1747	—	13	4	no	—
146	C₂×#338	—	13	1	no	—
147	C₂×H(3,ℤ/4)	—	13	2	no	—
148	C₂×H(3,ℤ/4)	—	13	1	no	—
149	C₂³×C₁₃	#117	1	1	yes	characteristic
150	C₂²×D₁₃	—	4	2	no	—
151	C₂²×D₁₃	#117	1	2	yes	—
152	C₂²×D₁₃	#117	1	1	yes	characteristic
153	C₂²×D₁₃	#117	1	2	yes	—
154	C₂²×D₁₃	C₂×#41	1	1	yes	characteristic
155	C₂×#261	—	2	8	no	—
156	C₂×#261	—	4	8	no	—
157	C₂×C₄×C₁₃	—	2	2	no	—
158	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
159	C₂×C₄×C₁₃	#117	1	2	yes	—
160	C₂×C₄×C₁₃	#117	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
162	C₂×Dic₁₃	—	2	2	no	—
163	C₂×Dic₁₃	#117	1	2	yes	—
164	C₂×Dic₁₃	#117	1	2	yes	—
165	C₂×Dic₁₃	#117	1	1	yes	characteristic
166	C₂×Dic₁₃	C₂×#41	1	1	yes	characteristic
167	C₄×D₁₃	—	4	4	no	—
168	C₄×D₁₃	C₂×C₄²	1	1	yes	characteristic
169	C₄×D₁₃	C₂×C₄²	1	1	yes	characteristic
170	C₄×D₁₃	#117	1	2	yes	—
171	C₄×D₁₃	#117	1	2	yes	—
172	C₄×D₁₃	#117	1	1	yes	characteristic
173	C₄×D₁₃	#117	1	1	yes	characteristic
174	C₄×D₁₃	#117	1	2	yes	—
175	C₄×D₁₃	#117	1	2	yes	—
176	C₄×D₁₃	C₂³×C₄	1	2	yes	—
177	C₄×D₁₃	C₂×#41	1	2	yes	—
178	#1057	—	2	8	no	—
179	C₈×C₁₃	—	2	2	no	—
180	C₈×C₁₃	C₂×C₄²	1	2	yes	—
181	C₈×C₁₃	C₂×C₄²	1	1	yes	characteristic
182	C₈×C₁₃	C₂×C₄²	1	1	yes	characteristic
183	#1055	—	2	2	no	—
184	#1055	C₂×C₄²	1	1	yes	characteristic
185	#1055	C₂×C₄²	1	2	yes	—
186	#1055	C₂×C₄²	1	1	yes	characteristic
187	C₂²×M₁₆	—	13	2	no	—
188	C₂²×M₁₆	—	13	1	no	—
189	C₂³×C₈	—	13	1	no	—
190	C₂×#117	—	13	2	no	—
191	C₂×#117	—	13	1	no	—
192	#405	—	13	4	no	—
193	#405	—	13	4	no	—
194	#405	—	13	4	no	—
195	#405	—	13	4	no	—
196	#405	—	13	1	no	—
197	#405	—	13	1	no	—
198	#405	—	13	1	no	—
199	#405	—	13	2	no	—
200	#405	—	13	2	no	—
201	#405	#261	1	1	yes	characteristic, complemented
202	C₂×#97	—	13	4	no	—
203	C₂×#97	—	13	2	no	—
204	C₂×C₄×C₈	—	13	4	no	—
205	C₂×C₄×C₈	—	13	2	no	—
206	#338	—	13	4	no	—
207	H(3,ℤ/4)	—	13	8	no	—
208	H(3,ℤ/4)	—	13	4	no	—
209	C₂²×C₁₃	—	4	1	no	—
210	C₂²×C₁₃	#376	1	2	yes	—
211	C₂²×C₁₃	C₂×#117	1	1	yes	characteristic
212	C₂×D₁₃	—	2	2	no	—
213	C₂×D₁₃	—	2	4	no	—
214	C₂×D₁₃	—	4	2	no	—
215	C₂×D₁₃	—	4	1	no	—
216	C₂×D₁₃	#376	1	1	yes	characteristic
217	C₂×D₁₃	#376	1	1	yes	characteristic
218	C₂×D₁₃	C₂×#117	1	2	yes	—
219	#261	—	4	8	no	—
220	C₄×C₁₃	—	4	2	no	—
221	C₄×C₁₃	#376	1	2	yes	—
222	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
223	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
224	Dic₁₃	—	4	2	no	—
225	Dic₁₃	#376	1	1	yes	characteristic
226	Dic₁₃	#376	1	1	yes	characteristic
227	Dic₁₃	C₂×#117	1	2	yes	—
228	C₂³×C₄	—	13	1	no	—
229	C₂×M₁₆	—	13	4	no	—
230	C₂×M₁₆	—	13	4	no	—
231	C₂×M₁₆	—	13	1	no	—
232	C₂×M₁₆	—	13	2	no	—
233	C₂×M₁₆	—	26	2	no	—
234	C₂×M₁₆	—	26	2	no	—
235	C₂×M₁₆	—	26	2	no	—
236	C₂×M₁₆	—	26	2	no	—
237	C₂×M₁₆	—	26	2	no	—
238	C₂×M₁₆	—	26	2	no	—
239	C₂×M₁₆	C₂×#261	1	1	yes	characteristic
240	C₂²×C₈	—	13	1	no	—
241	C₂²×C₈	—	13	2	no	—
242	C₂²×C₈	—	13	2	no	—
243	C₂²×C₈	—	13	2	no	—
244	C₂²×C₈	—	13	2	no	—
245	C₂²×C₈	—	13	1	no	—
246	C₂²×C₈	—	13	1	no	—
247	C₂²×C₈	—	13	1	no	—
248	C₂²×C₈	—	13	1	no	—
249	C₂²×C₈	—	13	4	no	—
250	C₂²×C₈	—	13	2	no	—
251	C₂²×C₈	C₂×#261	1	1	yes	characteristic
252	#117	—	13	4	no	—
253	#117	—	13	4	no	—
254	#117	—	13	1	no	—
255	#117	—	13	2	no	—
256	#117	—	26	1	no	—
257	#117	—	26	1	no	—
258	#117	—	26	2	no	—
259	#117	—	26	2	no	—
260	#117	C₂×#261	1	1	yes	characteristic
261	C₂×C₄⋊C₄	—	26	1	no	—
262	C₂×C₄⋊C₄	—	26	2	no	—
263	C₂×C₂²⋊C₄	—	26	1	no	—
264	C₂×C₂²⋊C₄	—	26	2	no	—
265	C₂×C₄²	—	13	4	no	—
266	C₂×C₄²	—	13	2	no	—
267	#97	—	13	8	no	—
268	#97	—	13	8	no	—
269	#97	—	13	2	no	—
270	#97	—	13	2	no	—
271	#97	—	13	2	no	—
272	#97	C₂×#261	1	2	yes	complemented
273	C₄×C₈	—	13	8	no	—
274	C₄×C₈	—	13	8	no	—
275	C₄×C₈	—	13	2	no	—
276	C₄×C₈	—	13	2	no	—
277	C₄×C₈	—	13	2	no	—
278	C₄×C₈	C₂×#261	1	2	yes	complemented
279	C₂×C₁₃	—	2	1	no	—
280	C₂×C₁₃	—	2	2	no	—
281	C₂×C₁₃	C₂×#376	1	1	yes	characteristic
282	D₁₃	—	2	2	no	—
283	D₁₃	—	2	1	no	—
284	D₁₃	#1747	1	2	yes	complemented
285	C₂⁴	—	13	1	no	—
286	C₂²×C₄	—	13	1	no	—
287	C₂²×C₄	—	13	2	no	—
288	C₂²×C₄	—	13	2	no	—
289	C₂²×C₄	—	13	2	no	—
290	C₂²×C₄	—	13	1	no	—
291	C₂²×C₄	—	13	1	no	—
292	C₂²×C₄	—	13	2	no	—
293	C₂²×C₄	—	13	1	no	—
294	C₂²×C₄	—	13	1	no	—
295	C₂²×C₄	—	26	2	no	—
296	C₂²×C₄	—	26	4	no	—
297	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
298	M₁₆	—	2	2	no	—
299	M₁₆	—	26	4	no	—
300	M₁₆	—	26	4	no	—
301	M₁₆	—	26	4	no	—
302	M₁₆	—	26	4	no	—
303	M₁₆	—	26	4	no	—
304	M₁₆	—	26	2	no	—
305	C₂×C₈	—	13	2	no	—
306	C₂×C₈	—	13	2	no	—
307	C₂×C₈	—	13	1	no	—
308	C₂×C₈	—	13	1	no	—
309	C₂×C₈	—	13	2	no	—
310	C₂×C₈	—	13	2	no	—
311	C₂×C₈	—	13	2	no	—
312	C₂×C₈	—	13	2	no	—
313	C₂×C₈	—	13	1	no	—
314	C₂×C₈	—	13	1	no	—
315	C₂×C₈	—	13	2	no	—
316	C₂×C₈	—	13	2	no	—
317	C₂×C₈	—	13	1	no	—
318	C₂×C₈	—	13	1	no	—
319	C₂×C₈	—	13	8	no	—
320	C₂×C₈	—	13	2	no	—
321	C₂×C₈	—	26	2	no	—
322	C₂×C₈	—	26	2	no	—
323	C₂×C₈	—	26	4	no	—
324	C₂×C₈	—	26	4	no	—
325	C₂×C₈	C₄×#261	1	2	yes	—
326	C₂×C₈	C₄×#261	1	2	yes	—
327	C₂×C₈	C₂²×#261	1	2	yes	—
328	C₂×C₈	C₂²×#261	1	1	yes	characteristic
329	C₂×C₈	C₂²×#261	1	1	yes	characteristic
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	26	2	no	—
332	C₄⋊C₄	—	26	4	no	—
333	C₄⋊C₄	—	26	4	no	—
334	C₄⋊C₄	—	26	1	no	—
335	C₂²⋊C₄	—	2	1	no	—
336	C₂²⋊C₄	—	26	2	no	—
337	C₂²⋊C₄	—	26	4	no	—
338	C₂²⋊C₄	—	26	4	no	—
339	C₂²⋊C₄	—	26	1	no	—
340	C₄²	—	13	8	no	—
341	C₄²	—	13	2	no	—
342	C₄²	—	26	2	no	—
343	C₄²	—	26	4	no	—
344	C₄²	C₂²×#261	1	2	yes	—
345	C₁₃	C₂×#1747	1	1	yes	characteristic, complemented, Sylow
346	C₂³	—	13	2	no	—
347	C₂³	—	13	1	no	—
348	C₂³	—	13	2	no	—
349	C₂³	—	13	1	no	—
350	C₂³	—	52	2	no	—
351	C₂³	#88237	1	1	yes	characteristic
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	13	2	no	—
354	C₂×C₄	—	13	2	no	—
355	C₂×C₄	—	13	1	no	—
356	C₂×C₄	—	13	1	no	—
357	C₂×C₄	—	13	2	no	—
358	C₂×C₄	—	13	2	no	—
359	C₂×C₄	—	13	2	no	—
360	C₂×C₄	—	13	2	no	—
361	C₂×C₄	—	13	2	no	—
362	C₂×C₄	—	13	1	no	—
363	C₂×C₄	—	13	1	no	—
364	C₂×C₄	—	13	2	no	—
365	C₂×C₄	—	13	1	no	—
366	C₂×C₄	—	13	1	no	—
367	C₂×C₄	—	26	8	no	—
368	C₂×C₄	—	26	2	no	—
369	C₂×C₄	—	52	4	no	—
370	C₂×C₄	—	52	8	no	—
371	C₂×C₄	C₂×C₄×#261	1	2	yes	—
372	C₂×C₄	#88237	1	1	yes	characteristic
373	C₂×C₄	#88237	1	2	yes	—
374	C₂×C₄	C₂³×#261	1	1	yes	characteristic
375	C₈	—	2	2	no	—
376	C₈	—	13	1	no	—
377	C₈	—	13	1	no	—
378	C₈	—	13	2	no	—
379	C₈	—	26	8	no	—
380	C₈	—	26	2	no	—
381	C₈	C₂×C₄×#261	1	2	yes	—
382	C₈	C₂×C₄×#261	1	1	yes	characteristic
383	C₈	C₂×C₄×#261	1	1	yes	characteristic
384	C₂²	—	4	1	no	—
385	C₂²	—	13	1	no	—
386	C₂²	—	13	2	no	—
387	C₂²	—	13	1	no	—
388	C₂²	—	26	2	no	—
389	C₂²	—	26	4	no	—
390	C₂²	—	52	1	no	—
391	C₂²	—	52	2	no	—
392	C₂²	#11719057	1	2	yes	—
393	C₂²	C₂×#88237	1	1	yes	characteristic
394	C₄	—	4	2	no	—
395	C₄	—	13	2	no	—
396	C₄	—	13	1	no	—
397	C₄	—	13	1	no	—
398	C₄	—	52	2	no	—
399	C₄	—	52	8	no	—
400	C₄	#11719057	1	2	yes	—
401	C₄	C₂²×C₄×#261	1	1	yes	characteristic
402	C₄	C₂×#88237	1	1	yes	characteristic
403	C₂	—	2	1	no	—
404	C₂	—	2	2	no	—
405	C₂	—	13	2	no	—
406	C₂	—	26	2	no	—
407	C₂	—	26	1	no	—
408	C₂	C₂×#11719057	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×C₄×#261
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#261
Fitting	C₁₃×#405	C₄
socle	C₂×C₁₃	C₂×#376
prime radical	C₂³×D₁₃	#41
cosocle	C₂×C₄×D₁₃	C₂⁴
hypercenter	#405	#261
hypocenter	C₁₃	C₂×#1747
LCS	G ▷ C₄×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₈ ◁ #405

Complements

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

N	H ≅ G/N	type
2. #13130558	C₂	semidirect
3. #13130557	C₂	semidirect
13. #11719089	C₄	semidirect
14. #11719089	C₄	semidirect
17. C₂×#88100	C₄	semidirect
18. C₂×C₈×#261	C₄	semidirect
19. C₁₃×#405	C₄	semidirect
20. #11718783	C₄	semidirect
21. #11718762	C₄	semidirect
22. #11718658	C₄	semidirect
24. D₁₃×#97	C₄	semidirect
26. C₄×C₈×D₁₃	C₄	semidirect
69. #88100	C₂×C₄	semidirect
70. #88100	C₂×C₄	semidirect
71. C₈×#261	C₂×C₄	semidirect
72. C₈×#261	C₂×C₄	semidirect
73. C₁₃×#97	C₂×C₄	semidirect
74. C₄×C₈×C₁₃	C₂×C₄	semidirect
75. #88055	C₂×C₄	semidirect
76. #88055	C₂×C₄	semidirect
77. C₈×Dic₁₃	C₂×C₄	semidirect
78. C₈×Dic₁₃	C₂×C₄	semidirect
79. #88043	C₂×C₄	semidirect
80. C₄×#1055	C₂×C₄	semidirect
201. #405	#261	semidirect
272. #97	C₂×#261	semidirect
278. C₄×C₈	C₂×#261	semidirect
284. D₁₃	#1747	semidirect
345. C₁₃	C₂×#1747	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719089	2
#13130558	2
#13130557	2
D₁₃⋊#338	2
#13130508	2
#13130506	2
D₁₃×#405	2
C₂×#1747	13

Subgroups — D13⋊#1747 #16796862

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃⋊#1747 #16796862