Subgroups — #16017308

Order 3328.

696 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13127970	C₂	1	2	yes	maximal, complemented
2	C₂×#11718361	C₂	1	1	yes	maximal, characteristic, complemented
3	#13116914	C₂	1	2	yes	maximal, complemented
4	#13116909	C₂	1	2	yes	maximal, complemented
5	#13116902	C₂	1	4	yes	maximal, complemented
6	C₂×#11718055	C₂	1	1	yes	maximal, characteristic, complemented
7	#13116585	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3147	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#135	—	2	1	no	—
10	C₂×C₁₃×#135	C₂²	1	2	yes	—
11	C₁₃×#532	—	2	1	no	—
12	C₂×#88158	C₂²	1	1	yes	characteristic
13	C₂×#88155	—	2	1	no	—
14	C₁₃×#495	—	2	1	no	—
15	C₁₃×#495	C₂²	1	2	yes	complemented
16	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
17	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
18	C₁₃×#492	—	2	1	no	—
19	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
20	#11718856	—	2	2	no	—
21	#11718855	—	2	4	no	—
22	#11718854	—	2	2	no	—
23	#11718840	C₂²	1	4	yes	—
24	#11718808	C₂²	1	4	yes	—
25	C₂×#88059	C₂²	1	1	yes	characteristic
26	C₂×#88052	C₂²	1	2	yes	—
27	C₂×#88045	—	2	1	no	—
28	#11718361	—	2	1	no	—
29	#11718361	—	2	1	no	—
30	#11718361	C₂²	1	2	yes	—
31	#11718361	C₂²	1	2	yes	—
32	#11718157	C₂²	1	4	yes	complemented
33	#11718155	C₂²	1	4	yes	complemented
34	#11718055	C₂²	1	2	yes	complemented
35	#11718055	C₂²	1	2	yes	complemented
36	C₂×C₁₃×#41	—	2	2	no	—
37	C₂×#6127	—	2	1	no	—
38	C₁₃×#135	—	2	2	no	—
39	C₁₃×#135	—	2	2	no	—
40	C₁₃×#135	—	2	2	no	—
41	C₁₃×#135	—	2	2	no	—
42	C₁₃×#135	—	4	1	no	—
43	C₁₃×#135	—	4	1	no	—
44	C₁₃×#135	—	4	1	no	—
45	C₁₃×#135	—	4	1	no	—
46	C₂×C₁₃×Q₁₆	—	2	1	no	—
47	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
48	C₂×C₁₃×SD₁₆	—	2	2	no	—
49	C₂×C₁₃×SD₁₆	—	2	2	no	—
50	C₂×C₁₃×D₈	—	2	1	no	—
51	C₂×C₁₃×D₈	C₂³	1	2	yes	—
52	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
53	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
54	C₁₃×C₄⋊Q₈	—	2	1	no	—
55	C₁₃×#127	—	2	1	no	—
56	C₁₃×#124	—	2	2	no	—
57	C₁₃×#121	—	4	2	no	—
58	C₄×D₄×C₁₃	—	4	2	no	—
59	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
60	C₂×#6099	—	2	1	no	—
61	C₂×Dic₅₂	D₄	1	1	yes	characteristic, complemented
62	#88158	—	2	1	no	—
63	#88158	—	2	1	no	—
64	#88158	D₄	1	2	yes	complemented
65	#88158	C₂³	1	2	yes	—
66	C₂×D₁₀₄	D₄	1	1	yes	characteristic, complemented
67	C₂×#6095	—	2	1	no	—
68	#88155	—	2	2	no	—
69	#88155	—	2	2	no	—
70	#88155	—	4	1	no	—
71	#88155	—	4	1	no	—
72	C₂×#6094	—	4	1	no	—
73	C₂×C₈×D₁₃	—	4	1	no	—
74	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
75	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
76	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	#88069	—	2	4	no	—
79	#88068	—	2	4	no	—
80	#88067	—	2	4	no	—
81	#88066	—	2	4	no	—
82	#88059	—	2	1	no	—
83	#88059	C₂³	1	2	yes	—
84	#88052	—	2	2	no	—
85	#88052	C₂³	1	4	yes	—
86	C₂×#6090	—	2	2	no	—
87	#88045	—	2	2	no	—
88	#88045	—	2	2	no	—
89	#33594	—	13	1	no	maximal, Sylow
90	C₁₃×#41	—	4	2	no	—
91	C₁₃×#41	—	4	2	no	—
92	C₁₃×#41	—	4	2	no	—
93	C₁₃×#41	—	4	2	no	—
94	C₂×Q₈×C₁₃	—	2	2	no	—
95	C₂×D₄×C₁₃	—	2	2	no	—
96	C₂×D₄×C₁₃	—	4	2	no	—
97	C₂×D₄×C₁₃	—	4	2	no	—
98	C₂²×C₄×C₁₃	—	2	1	no	—
99	C₂²×C₄×C₁₃	—	4	2	no	—
100	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
101	C₂×C₂²⋊D₁₃	—	4	1	no	—
102	#6127	—	2	2	no	—
103	#6127	—	2	2	no	—
104	#6127	—	4	1	no	—
105	#6127	—	4	1	no	—
106	C₂×D₅₂	—	2	1	no	—
107	C₂×C₄×D₁₃	—	4	1	no	—
108	C₂×Dic₂₆	—	2	1	no	—
109	C₁₃×Q₁₆	—	2	2	no	—
110	C₁₃×Q₁₆	—	2	2	no	—
111	C₁₃×Q₁₆	—	4	1	no	—
112	C₁₃×Q₁₆	—	4	1	no	—
113	C₁₃×SD₁₆	—	4	2	no	—
114	C₁₃×SD₁₆	—	4	2	no	—
115	C₁₃×SD₁₆	—	4	2	no	—
116	C₁₃×SD₁₆	—	4	2	no	—
117	C₁₃×D₈	—	2	2	no	—
118	C₁₃×D₈	—	2	2	no	—
119	C₁₃×D₈	—	4	1	no	—
120	C₁₃×D₈	—	4	1	no	—
121	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
122	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
123	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
124	C₂×C₈×C₁₃	D₈	1	1	yes	characteristic
125	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
129	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
130	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
131	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
132	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
133	C₁₃×C₄⋊C₄	—	4	2	no	—
134	C₁₃×C₂²⋊C₄	—	4	4	no	—
135	C₄²×C₁₃	—	2	1	no	—
136	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
137	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
138	#6099	—	2	2	no	—
139	#6099	—	4	1	no	—
140	C₂×#1055	—	4	1	no	—
141	Dic₅₂	—	2	1	no	—
142	Dic₅₂	C₂×D₄	1	2	yes	—
143	D₁₀₄	—	2	1	no	—
144	D₁₀₄	C₂×D₄	1	2	yes	—
145	#6095	—	2	2	no	—
146	#6095	—	2	2	no	—
147	#6094	—	4	2	no	—
148	#6094	—	4	2	no	—
149	C₈×D₁₃	—	4	2	no	—
150	C₈×D₁₃	—	4	2	no	—
151	#6090	—	2	4	no	—
152	#3414	—	13	2	no	—
153	#3147	D₁₃	1	1	yes	characteristic, complemented
154	C₂×#443	—	13	1	no	—
155	#2214	—	13	2	no	—
156	#2213	—	13	2	no	—
157	#2212	—	13	4	no	—
158	C₂×#364	—	13	1	no	—
159	#2148	—	13	2	no	—
160	C₂³×C₁₃	—	4	2	no	—
161	C₂³×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
162	C₂²×D₁₃	—	4	1	no	—
163	Q₈×C₁₃	—	4	2	no	—
164	Q₈×C₁₃	—	4	2	no	—
165	D₄×C₁₃	—	4	2	no	—
166	D₄×C₁₃	—	4	2	no	—
167	D₄×C₁₃	—	8	4	no	—
168	D₄×C₁₃	—	8	2	no	—
169	D₄×C₁₃	—	8	2	no	—
170	C₂×C₄×C₁₃	—	2	1	no	—
171	C₂×C₄×C₁₃	—	2	1	no	—
172	C₂×C₄×C₁₃	—	4	2	no	—
173	C₂×C₄×C₁₃	—	4	2	no	—
174	C₂×C₄×C₁₃	—	8	2	no	—
175	C₂×C₄×C₁₃	—	8	2	no	—
176	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
177	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
178	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
179	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
180	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
181	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
182	C₂²⋊D₁₃	—	4	2	no	—
183	C₂²⋊D₁₃	—	4	2	no	—
184	C₂×Dic₁₃	—	4	1	no	—
185	D₅₂	—	2	2	no	—
186	D₅₂	—	4	1	no	—
187	C₄×D₁₃	—	4	2	no	—
188	C₄×D₁₃	—	4	2	no	—
189	Dic₂₆	—	2	2	no	—
190	Dic₂₆	—	4	1	no	—
191	C₈×C₁₃	#121	1	1	yes	characteristic
192	C₈×C₁₃	#121	1	1	yes	characteristic
193	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
194	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
195	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
196	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
197	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
198	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
199	#1055	—	4	2	no	—
200	C₂×#135	—	2	1	no	—
201	C₂×#135	—	13	1	no	—
202	C₂×#135	C₂×D₁₃	1	2	yes	—
203	C₂×#131	—	26	1	no	—
204	#532	—	2	1	no	—
205	#510	—	13	4	no	—
206	#510	—	26	2	no	—
207	#509	—	13	4	no	—
208	#509	—	26	2	no	—
209	#508	—	26	4	no	—
210	C₂×M₃₂	—	13	2	no	—
211	#495	—	2	1	no	—
212	#495	C₂×D₁₃	1	2	yes	complemented
213	#494	C₂×D₁₃	1	1	yes	characteristic, complemented
214	#493	C₂×D₁₃	1	1	yes	characteristic, complemented
215	#492	—	2	1	no	—
216	#443	—	13	2	no	—
217	#443	—	13	2	no	—
218	#443	—	26	1	no	—
219	#443	—	26	1	no	—
220	C₂×#108	—	13	1	no	—
221	C₂×#104	—	26	1	no	—
222	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
223	#364	—	13	2	no	—
224	#364	—	13	2	no	—
225	#362	—	13	4	no	—
226	#361	—	13	4	no	—
227	C₂²×C₁₃	—	4	1	no	—
228	C₂²×C₁₃	—	8	4	no	—
229	C₂²×C₁₃	—	8	2	no	—
230	C₂²×C₁₃	#459	1	1	yes	characteristic
231	C₂²×C₁₃	#459	1	1	yes	characteristic
232	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
233	C₂×D₁₃	—	4	2	no	—
234	C₂×D₁₃	—	8	2	no	—
235	C₄×C₁₃	—	2	2	no	—
236	C₄×C₁₃	—	4	1	no	—
237	C₄×C₁₃	—	8	2	no	—
238	C₄×C₁₃	#459	1	1	yes	characteristic
239	C₄×C₁₃	#459	1	1	yes	characteristic
240	C₄×C₁₃	C₂×#121	1	1	yes	characteristic
241	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
242	Dic₁₃	—	4	2	no	—
243	C₂×#41	—	2	2	no	—
244	C₂×#41	—	26	1	no	—
245	#135	—	2	2	no	—
246	#135	—	2	2	no	—
247	#135	—	2	2	no	—
248	#135	—	2	2	no	—
249	#135	—	4	1	no	—
250	#135	—	4	1	no	—
251	#135	—	4	1	no	—
252	#135	—	4	1	no	—
253	#135	—	13	2	no	—
254	#135	—	13	2	no	—
255	#135	—	26	1	no	—
256	#135	—	26	1	no	—
257	C₂×Q₁₆	—	2	1	no	—
258	C₂×Q₁₆	—	13	1	no	—
259	C₂×Q₁₆	C₂²×D₁₃	1	2	yes	—
260	C₂×SD₁₆	—	2	2	no	—
261	C₂×SD₁₆	—	2	2	no	—
262	C₂×SD₁₆	—	26	1	no	—
263	C₂×D₈	—	2	1	no	—
264	C₂×D₈	—	13	1	no	—
265	C₂×D₈	C₂²×D₁₃	1	2	yes	—
266	#131	—	26	2	no	—
267	#131	—	26	2	no	—
268	#131	—	52	1	no	—
269	#131	—	52	1	no	—
270	C₂×M₁₆	—	26	1	no	—
271	C₂×M₁₆	—	52	1	no	—
272	C₂²×C₈	—	52	1	no	—
273	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
274	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
275	C₄⋊Q₈	—	2	1	no	—
276	#127	—	2	1	no	—
277	#124	—	2	2	no	—
278	#121	—	4	2	no	—
279	C₄×D₄	—	4	2	no	—
280	C₂×C₄²	C₂²⋊D₁₃	1	1	yes	characteristic
281	Q₃₂	—	26	4	no	—
282	SD₃₂	—	26	4	no	—
283	SD₃₂	—	26	4	no	—
284	D₁₆	—	26	4	no	—
285	M₃₂	—	13	4	no	—
286	M₃₂	—	26	2	no	—
287	C₂×C₁₆	—	26	2	no	—
288	#108	—	13	2	no	—
289	#108	—	26	1	no	—
290	#104	—	26	2	no	—
291	#104	—	26	2	no	—
292	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
293	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
294	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
295	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
296	C₂×C₁₃	—	2	1	no	—
297	C₂×C₁₃	—	2	1	no	—
298	C₂×C₁₃	—	2	1	no	—
299	C₂×C₁₃	—	16	2	no	—
300	C₂×C₁₃	C₂×#459	1	1	yes	characteristic
301	D₁₃	—	8	2	no	—
302	#41	—	4	2	no	—
303	#41	—	4	2	no	—
304	#41	—	4	2	no	—
305	#41	—	4	2	no	—
306	#41	—	26	2	no	—
307	#41	—	26	2	no	—
308	#41	—	52	1	no	—
309	#41	—	52	1	no	—
310	C₂×Q₈	—	2	2	no	—
311	C₂×Q₈	—	26	1	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	4	2	no	—
314	C₂×D₄	—	4	2	no	—
315	C₂×D₄	—	26	1	no	—
316	C₂×D₄	—	52	1	no	—
317	C₂²×C₄	—	2	1	no	—
318	C₂²×C₄	—	4	2	no	—
319	C₂²×C₄	—	52	1	no	—
320	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
321	Q₁₆	—	2	2	no	—
322	Q₁₆	—	2	2	no	—
323	Q₁₆	—	4	1	no	—
324	Q₁₆	—	4	1	no	—
325	Q₁₆	—	13	2	no	—
326	Q₁₆	—	26	1	no	—
327	SD₁₆	—	4	2	no	—
328	SD₁₆	—	4	2	no	—
329	SD₁₆	—	4	2	no	—
330	SD₁₆	—	4	2	no	—
331	SD₁₆	—	26	2	no	—
332	SD₁₆	—	26	2	no	—
333	D₈	—	2	2	no	—
334	D₈	—	2	2	no	—
335	D₈	—	4	1	no	—
336	D₈	—	4	1	no	—
337	D₈	—	13	2	no	—
338	D₈	—	26	1	no	—
339	M₁₆	—	26	2	no	—
340	M₁₆	—	52	1	no	—
341	M₁₆	—	52	2	no	—
342	M₁₆	—	52	2	no	—
343	C₂×C₈	—	52	1	no	—
344	C₂×C₈	—	52	2	no	—
345	C₂×C₈	—	52	2	no	—
346	C₂×C₈	#6104	1	1	yes	characteristic
347	C₂×C₈	#6104	1	1	yes	characteristic
348	C₂×C₈	#6104	1	1	yes	characteristic
349	C₂×C₈	#6104	1	1	yes	characteristic
350	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
351	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
352	C₂×C₈	#6129	1	1	yes	characteristic
353	C₂×C₈	#6129	1	1	yes	characteristic
354	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
355	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
356	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
357	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
358	C₄⋊C₄	—	4	2	no	—
359	C₂²⋊C₄	—	4	4	no	—
360	C₄²	—	2	1	no	—
361	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
362	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
363	C₁₆	—	26	4	no	—
364	C₁₃	#33594	1	1	yes	characteristic, complemented, Sylow
365	C₂³	—	4	2	no	—
366	C₂³	—	52	1	no	—
367	C₂³	#88186	1	1	yes	characteristic
368	Q₈	—	4	2	no	—
369	Q₈	—	4	2	no	—
370	Q₈	—	26	2	no	—
371	Q₈	—	52	1	no	—
372	D₄	—	4	2	no	—
373	D₄	—	4	2	no	—
374	D₄	—	8	4	no	—
375	D₄	—	8	2	no	—
376	D₄	—	8	2	no	—
377	D₄	—	26	2	no	—
378	D₄	—	52	2	no	—
379	D₄	—	52	2	no	—
380	D₄	—	52	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	1	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	8	2	no	—
386	C₂×C₄	—	8	2	no	—
387	C₂×C₄	—	52	1	no	—
388	C₂×C₄	—	52	2	no	—
389	C₂×C₄	—	52	2	no	—
390	C₂×C₄	C₂×#6104	1	1	yes	characteristic
391	C₂×C₄	C₂×#6104	1	1	yes	characteristic
392	C₂×C₄	#88186	1	1	yes	characteristic
393	C₂×C₄	#88192	1	1	yes	characteristic
394	C₂×C₄	#88192	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
396	C₈	—	52	2	no	—
397	C₈	C₂×#6104	1	1	yes	characteristic
398	C₈	C₂×#6104	1	1	yes	characteristic
399	C₈	C₂×#6104	1	1	yes	characteristic
400	C₈	C₂×#6104	1	1	yes	characteristic
401	C₈	#88192	1	1	yes	characteristic
402	C₈	#88192	1	1	yes	characteristic
403	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
404	C₈	C₂×#6129	1	1	yes	characteristic
405	C₂²	—	4	1	no	—
406	C₂²	—	8	4	no	—
407	C₂²	—	8	2	no	—
408	C₂²	—	52	2	no	—
409	C₂²	—	104	2	no	—
410	C₂²	#11718733	1	1	yes	characteristic
411	C₂²	#11718733	1	1	yes	characteristic
412	C₂²	C₂×#88186	1	1	yes	characteristic
413	C₄	—	2	2	no	—
414	C₄	—	4	1	no	—
415	C₄	—	8	2	no	—
416	C₄	—	52	2	no	—
417	C₄	#11718733	1	1	yes	characteristic
418	C₄	#11718733	1	1	yes	characteristic
419	C₄	C₂²×#6104	1	1	yes	characteristic
420	C₄	C₂×#88192	1	1	yes	characteristic
421	C₂	—	2	1	no	—
422	C₂	—	2	1	no	—
423	C₂	—	2	1	no	—
424	C₂	—	16	2	no	—
425	C₂	—	104	2	no	—
426	C₂	C₂×#11718733	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#11718733
commutator, cosocle	C₂×C₈×C₁₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	C₁₃×#3147	C₂
socle	C₂×C₁₃	C₂×#459
hypercenter	#3147	D₁₃
hypocenter	C₁₃	#33594
LCS	G ▷ C₂×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂×C₄×C₈ ◁ #3147

Complements

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

N	H ≅ G/N	type
1. #13127970	C₂	semidirect
2. C₂×#11718361	C₂	semidirect
3. #13116914	C₂	semidirect
4. #13116909	C₂	semidirect
5. #13116902	C₂	semidirect
6. C₂×#11718055	C₂	semidirect
7. #13116585	C₂	semidirect
8. C₁₃×#3147	C₂	semidirect
15. C₁₃×#495	C₂²	semidirect
16. C₁₃×#494	C₂²	semidirect
17. C₁₃×#493	C₂²	semidirect
32. #11718157	C₂²	semidirect
33. #11718155	C₂²	semidirect
34. #11718055	C₂²	semidirect
35. #11718055	C₂²	semidirect
61. C₂×Dic₅₂	D₄	semidirect
64. #88158	D₄	semidirect
66. C₂×D₁₀₄	D₄	semidirect
153. #3147	D₁₃	semidirect
212. #495	C₂×D₁₃	semidirect
213. #494	C₂×D₁₃	semidirect
214. #493	C₂×D₁₃	semidirect
364. C₁₃	#33594	semidirect

Maximal subgroups

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

subgroup	index
#13127970	2
C₂×#11718361	2
#13116914	2
#13116909	2
#13116902	2
C₂×#11718055	2
#13116585	2
C₁₃×#3147	2
#33594	13