Subgroups — #16019711

Order 3328.

668 conjugacy classes of subgroups.

The subgroup lattice has 438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13127975	C₂	1	2	yes	maximal, complemented
2	#13126636	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117085	C₂	1	1	yes	maximal, characteristic, complemented
4	#13116954	C₂	1	2	yes	maximal, complemented
5	#13116912	C₂	1	1	yes	maximal, characteristic, complemented
6	#13116909	C₂	1	1	yes	maximal, characteristic, complemented
7	#13116793	C₂	1	2	yes	maximal, complemented
8	#13116791	C₂	1	2	yes	maximal, complemented
9	#13116715	C₂	1	1	yes	maximal, characteristic, complemented
10	#13116673	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3292	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#576	—	2	1	no	—
13	C₁₃×#576	C₂²	1	2	yes	complemented
14	#11719474	—	2	1	no	—
15	#11719457	C₂²	1	2	yes	complemented
16	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
17	C₁₃×#472	—	2	1	no	—
18	C₁₃×#472	C₂²	1	2	yes	complemented
19	C₁₃×#453	—	2	2	no	—
20	C₁₃×#443	C₂²	1	1	yes	characteristic
21	C₁₃×#443	C₂²	1	1	yes	characteristic, complemented
22	#11718855	—	2	2	no	—
23	#11718855	C₂²	1	1	yes	characteristic
24	#11718854	—	2	2	no	—
25	#11718854	C₂²	1	2	yes	complemented
26	#11718808	—	2	2	no	—
27	#11718808	C₂²	1	2	yes	complemented
28	C₂×#88066	—	2	2	no	—
29	C₂×#88066	C₂²	1	2	yes	complemented
30	C₂×#88066	C₂²	1	2	yes	complemented
31	#11718803	C₂²	1	2	yes	complemented
32	#11718801	C₂²	1	2	yes	complemented
33	#11718558	—	2	1	no	—
34	#11718483	—	2	2	no	—
35	#11718361	C₂²	1	1	yes	characteristic, complemented
36	#11718356	C₂²	1	1	yes	characteristic, complemented
37	#11718159	C₂²	1	1	yes	characteristic, complemented
38	#11718155	C₂²	1	2	yes	complemented
39	#11718153	C₂²	1	2	yes	complemented
40	#11718089	C₂²	1	1	yes	characteristic, complemented
41	#11718087	C₂²	1	2	yes	complemented
42	#11718085	C₂²	1	1	yes	characteristic, complemented
43	#11718055	C₂²	1	1	yes	characteristic, complemented
44	C₄×#6090	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×H(5,𝔽₂)	—	2	2	no	—
46	#88256	—	2	2	no	—
47	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
48	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
49	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
50	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
51	C₁₃×#135	—	2	2	no	—
52	C₁₃×#135	—	4	1	no	—
53	C₁₃×#135	D₄	1	1	yes	characteristic
54	C₁₃×#135	C₂³	1	1	yes	characteristic
55	C₂×C₁₃×D₈	—	2	2	no	—
56	C₂×C₁₃×D₈	—	2	1	no	—
57	C₂×C₁₃×D₈	—	4	1	no	—
58	C₂×C₁₃×D₈	C₂³	1	2	yes	—
59	C₁₃×#131	—	2	1	no	—
60	C₁₃×#131	C₂³	1	2	yes	—
61	C₁₃×#127	—	2	1	no	—
62	#88203	—	2	2	no	—
63	#88173	—	4	1	no	—
64	#88168	—	4	2	no	—
65	D₈×D₁₃	—	4	1	no	—
66	#88162	—	2	2	no	—
67	#88162	—	4	2	no	—
68	#88158	—	2	2	no	—
69	#88158	C₂³	1	1	yes	characteristic
70	C₂×D₁₀₄	—	2	2	no	—
71	C₂×D₁₀₄	—	2	1	no	—
72	C₂×D₁₀₄	C₂³	1	2	yes	—
73	#88155	—	2	1	no	—
74	#88128	—	2	1	no	—
75	C₁₃×#108	D₄	1	1	yes	characteristic
76	C₁₃×#108	C₂³	1	1	yes	characteristic
77	C₁₃×#104	—	2	1	no	—
78	C₁₃×#104	D₄	1	2	yes	—
79	C₁₃×#100	—	2	2	no	—
80	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	#88069	D₄	1	1	yes	characteristic, complemented
82	#88068	—	2	2	no	—
83	#88068	D₄	1	1	yes	characteristic, complemented
84	#88067	—	2	2	no	—
85	#88067	D₄	1	1	yes	characteristic, complemented
86	#88066	—	2	2	no	—
87	#88066	—	2	2	no	—
88	#88066	—	2	2	no	—
89	#88066	—	2	2	no	—
90	#88066	—	4	2	no	—
91	#88066	D₄	1	1	yes	characteristic, complemented
92	#88063	—	2	2	no	—
93	#88059	C₂³	1	1	yes	characteristic
94	#88052	—	2	2	no	—
95	#88052	C₂³	1	2	yes	—
96	C₂×#6090	—	2	2	no	—
97	C₂×#6090	C₂³	1	1	yes	characteristic
98	C₂×#6090	C₂³	1	1	yes	characteristic
99	#88045	—	2	1	no	—
100	#33858	—	13	1	no	maximal, Sylow
101	C₁₃×#41	—	2	1	no	—
102	C₁₃×#41	—	4	2	no	—
103	C₁₃×#41	—	4	2	no	—
104	C₁₃×#41	C₂×D₄	1	2	yes	—
105	C₂×D₄×C₁₃	—	2	2	no	—
106	C₂×D₄×C₁₃	—	4	2	no	—
107	C₂×D₄×C₁₃	—	4	2	no	—
108	C₂×D₄×C₁₃	—	8	1	no	—
109	C₂×D₄×C₁₃	—	8	2	no	—
110	#6131	—	4	2	no	—
111	D₄×D₁₃	—	4	2	no	—
112	D₄×D₁₃	—	8	2	no	—
113	#6127	—	2	1	no	—
114	#6127	—	4	2	no	—
115	C₂×D₅₂	—	2	2	no	—
116	C₂×D₅₂	—	4	2	no	—
117	C₂×D₅₂	—	8	1	no	—
118	C₁₃×Q₁₆	D₈	1	1	yes	characteristic
119	C₁₃×Q₁₆	C₂×D₄	1	1	yes	characteristic
120	C₁₃×SD₁₆	—	2	1	no	—
121	C₁₃×SD₁₆	—	4	2	no	—
122	C₁₃×SD₁₆	—	4	2	no	—
123	C₁₃×SD₁₆	D₈	1	2	yes	—
124	C₁₃×D₈	—	2	2	no	—
125	C₁₃×D₈	—	2	2	no	—
126	C₁₃×D₈	—	4	2	no	—
127	C₁₃×D₈	—	4	2	no	—
128	C₁₃×D₈	—	4	1	no	—
129	C₁₃×D₈	—	4	1	no	—
130	C₁₃×D₈	D₈	1	1	yes	characteristic
131	C₁₃×D₈	C₂×D₄	1	1	yes	characteristic
132	C₁₃×M₁₆	—	2	2	no	—
133	C₁₃×M₁₆	—	2	1	no	—
134	C₁₃×M₁₆	—	4	1	no	—
135	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
136	C₂×C₈×C₁₃	—	2	2	no	—
137	C₂×C₈×C₁₃	—	4	1	no	—
138	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
139	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
140	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
141	#6106	—	4	2	no	—
142	#6104	—	4	2	no	—
143	#6099	—	2	1	no	—
144	Dic₅₂	C₂×D₄	1	1	yes	characteristic
145	D₁₀₄	—	2	2	no	—
146	D₁₀₄	—	2	2	no	—
147	D₁₀₄	—	4	2	no	—
148	D₁₀₄	—	4	1	no	—
149	D₁₀₄	—	4	1	no	—
150	D₁₀₄	C₂×D₄	1	1	yes	characteristic
151	#6095	—	2	1	no	—
152	#6095	—	4	2	no	—
153	#6094	—	4	1	no	—
154	C₈×D₁₃	—	4	1	no	—
155	#6090	—	2	2	no	—
156	#6090	—	2	1	no	—
157	#6090	C₂×D₄	1	1	yes	characteristic
158	#6090	C₂×D₄	1	1	yes	characteristic
159	#3415	—	13	2	no	—
160	#3292	—	13	1	no	—
161	#3292	D₁₃	1	1	yes	characteristic, complemented
162	#2246	—	13	1	no	—
163	#2221	—	13	2	no	—
164	#2213	—	13	1	no	—
165	#2213	—	13	1	no	—
166	#2192	—	13	2	no	—
167	#2192	—	13	2	no	—
168	#2178	—	13	1	no	—
169	#2170	—	13	1	no	—
170	C₂³×C₁₃	—	4	2	no	—
171	C₂³×C₁₃	—	8	2	no	—
172	C₂²×D₁₃	—	4	2	no	—
173	C₂²×D₁₃	—	8	2	no	—
174	Q₈×C₁₃	—	2	1	no	—
175	Q₈×C₁₃	C₂×D₈	1	2	yes	—
176	D₄×C₁₃	—	2	2	no	—
177	D₄×C₁₃	—	2	1	no	—
178	D₄×C₁₃	—	4	1	no	—
179	D₄×C₁₃	—	4	2	no	—
180	D₄×C₁₃	—	4	2	no	—
181	D₄×C₁₃	—	8	2	no	—
182	D₄×C₁₃	—	8	2	no	—
183	D₄×C₁₃	—	16	2	no	—
184	D₄×C₁₃	C₂×D₈	1	2	yes	—
185	C₂×C₄×C₁₃	—	2	1	no	—
186	C₂×C₄×C₁₃	—	2	2	no	—
187	C₂×C₄×C₁₃	—	4	1	no	—
188	C₂×C₄×C₁₃	—	8	2	no	—
189	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
190	C₂²⋊D₁₃	—	4	1	no	—
191	C₂²⋊D₁₃	—	8	2	no	—
192	D₅₂	—	2	1	no	—
193	D₅₂	—	4	2	no	—
194	D₅₂	—	4	2	no	—
195	D₅₂	—	8	2	no	—
196	D₅₂	—	16	2	no	—
197	C₄×D₁₃	—	4	1	no	—
198	C₄×D₁₃	—	8	2	no	—
199	Dic₂₆	—	2	1	no	—
200	C₈×C₁₃	—	2	2	no	—
201	C₈×C₁₃	—	4	1	no	—
202	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
203	C₈×C₁₃	C₂×D₈	1	1	yes	characteristic
204	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
205	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
206	#1055	—	4	1	no	—
207	#576	—	2	1	no	—
208	#576	—	13	2	no	—
209	#576	—	26	1	no	—
210	#576	C₂×D₁₃	1	2	yes	complemented
211	#509	—	13	2	no	—
212	#509	—	13	2	no	—
213	#509	—	26	2	no	—
214	#509	—	26	2	no	—
215	#508	—	13	1	no	—
216	#508	—	26	2	no	—
217	C₂×D₁₆	—	13	2	no	—
218	C₂×D₁₆	—	13	2	no	—
219	C₂×D₁₆	—	26	2	no	—
220	#504	—	13	2	no	—
221	#493	—	13	1	no	—
222	#493	C₂×D₁₃	1	1	yes	characteristic, complemented
223	#472	—	2	1	no	—
224	#472	—	13	2	no	—
225	#472	—	26	1	no	—
226	#472	C₂×D₁₃	1	2	yes	complemented
227	#453	—	2	2	no	—
228	#453	—	26	2	no	—
229	#443	—	13	1	no	—
230	#443	C₂×D₁₃	1	1	yes	characteristic
231	#443	C₂×D₁₃	1	1	yes	characteristic, complemented
232	#368	—	13	1	no	—
233	#364	—	13	1	no	—
234	#361	—	13	2	no	—
235	#361	—	13	2	no	—
236	#359	—	13	1	no	—
237	#359	—	13	1	no	—
238	#350	—	13	2	no	—
239	C₄×C₁₆	—	13	1	no	—
240	C₂²×C₁₃	—	2	2	no	—
241	C₂²×C₁₃	—	4	1	no	—
242	C₂²×C₁₃	—	8	2	no	—
243	C₂²×C₁₃	—	16	2	no	—
244	C₂²×C₁₃	—	32	2	no	—
245	C₂²×C₁₃	#576	1	1	yes	characteristic
246	C₂×D₁₃	—	4	1	no	—
247	C₂×D₁₃	—	8	2	no	—
248	C₂×D₁₃	—	16	2	no	—
249	C₂×D₁₃	—	32	2	no	—
250	C₄×C₁₃	—	2	2	no	—
251	C₄×C₁₃	—	2	2	no	—
252	C₄×C₁₃	—	4	1	no	—
253	C₄×C₁₃	D₄²	1	1	yes	characteristic
254	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
255	Dic₁₃	—	4	1	no	—
256	H(5,𝔽₂)	—	2	2	no	—
257	H(5,𝔽₂)	—	26	2	no	—
258	AGL(1,ℤ/8)	—	2	2	no	—
259	AGL(1,ℤ/8)	—	2	2	no	—
260	AGL(1,ℤ/8)	—	4	2	no	—
261	AGL(1,ℤ/8)	—	4	2	no	—
262	AGL(1,ℤ/8)	—	26	2	no	—
263	AGL(1,ℤ/8)	—	26	2	no	—
264	AGL(1,ℤ/8)	—	52	2	no	—
265	AGL(1,ℤ/8)	—	52	2	no	—
266	#135	—	2	2	no	—
267	#135	—	4	1	no	—
268	#135	—	13	1	no	—
269	#135	—	26	2	no	—
270	#135	—	52	1	no	—
271	#135	C₂²⋊D₁₃	1	1	yes	characteristic
272	#135	C₂²×D₁₃	1	1	yes	characteristic
273	C₂×D₈	—	2	2	no	—
274	C₂×D₈	—	2	1	no	—
275	C₂×D₈	—	4	1	no	—
276	C₂×D₈	—	13	2	no	—
277	C₂×D₈	—	26	2	no	—
278	C₂×D₈	—	26	1	no	—
279	C₂×D₈	—	52	1	no	—
280	C₂×D₈	C₂²×D₁₃	1	2	yes	—
281	#131	—	2	1	no	—
282	#131	—	26	1	no	—
283	#131	C₂²×D₁₃	1	2	yes	—
284	#127	—	2	1	no	—
285	#127	—	26	1	no	—
286	Q₃₂	—	13	1	no	—
287	SD₃₂	—	13	1	no	—
288	SD₃₂	—	13	1	no	—
289	SD₃₂	—	26	2	no	—
290	SD₃₂	—	26	2	no	—
291	D₁₆	—	13	1	no	—
292	D₁₆	—	26	2	no	—
293	D₁₆	—	26	2	no	—
294	D₁₆	—	26	2	no	—
295	D₁₆	—	26	2	no	—
296	D₁₆	—	52	2	no	—
297	M₃₂	—	13	2	no	—
298	M₃₂	—	26	2	no	—
299	C₂×C₁₆	—	13	1	no	—
300	C₂×C₁₆	—	13	1	no	—
301	C₂×C₁₆	—	26	2	no	—
302	#108	—	13	1	no	—
303	#108	C₂²⋊D₁₃	1	1	yes	characteristic
304	#108	C₂²×D₁₃	1	1	yes	characteristic
305	#104	—	2	1	no	—
306	#104	—	26	1	no	—
307	#104	C₂²⋊D₁₃	1	2	yes	—
308	#100	—	2	2	no	—
309	#100	—	26	2	no	—
310	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
311	C₂×C₁₃	—	2	1	no	—
312	C₂×C₁₃	—	4	2	no	—
313	C₂×C₁₃	—	8	1	no	—
314	C₂×C₁₃	—	16	2	no	—
315	C₂×C₁₃	D₄×D₈	1	1	yes	characteristic
316	D₁₃	—	8	1	no	—
317	D₁₃	—	16	2	no	—
318	#41	—	2	1	no	—
319	#41	—	4	2	no	—
320	#41	—	4	2	no	—
321	#41	—	26	1	no	—
322	#41	—	52	2	no	—
323	#41	—	52	2	no	—
324	#41	C₂×C₂²⋊D₁₃	1	2	yes	—
325	C₂×D₄	—	2	2	no	—
326	C₂×D₄	—	4	2	no	—
327	C₂×D₄	—	4	2	no	—
328	C₂×D₄	—	8	1	no	—
329	C₂×D₄	—	8	2	no	—
330	C₂×D₄	—	26	2	no	—
331	C₂×D₄	—	52	2	no	—
332	C₂×D₄	—	52	2	no	—
333	C₂×D₄	—	104	1	no	—
334	C₂×D₄	—	104	2	no	—
335	Q₁₆	—	13	1	no	—
336	Q₁₆	#6104	1	1	yes	characteristic
337	Q₁₆	D₄×D₁₃	1	1	yes	characteristic
338	SD₁₆	—	2	1	no	—
339	SD₁₆	—	4	2	no	—
340	SD₁₆	—	4	2	no	—
341	SD₁₆	—	26	1	no	—
342	SD₁₆	—	52	2	no	—
343	SD₁₆	—	52	2	no	—
344	SD₁₆	#6104	1	2	yes	—
345	D₈	—	2	2	no	—
346	D₈	—	2	2	no	—
347	D₈	—	4	2	no	—
348	D₈	—	4	2	no	—
349	D₈	—	4	1	no	—
350	D₈	—	4	1	no	—
351	D₈	—	13	1	no	—
352	D₈	—	26	2	no	—
353	D₈	—	26	2	no	—
354	D₈	—	52	2	no	—
355	D₈	—	52	2	no	—
356	D₈	—	52	1	no	—
357	D₈	—	52	1	no	—
358	D₈	#6104	1	1	yes	characteristic
359	D₈	D₄×D₁₃	1	1	yes	characteristic
360	M₁₆	—	2	2	no	—
361	M₁₆	—	2	1	no	—
362	M₁₆	—	4	1	no	—
363	M₁₆	—	26	1	no	—
364	M₁₆	—	52	1	no	—
365	M₁₆	C₂×C₂²⋊D₁₃	1	2	yes	—
366	C₂×C₈	—	2	2	no	—
367	C₂×C₈	—	4	1	no	—
368	C₂×C₈	—	52	1	no	—
369	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
370	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
371	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
372	C₁₆	—	13	1	no	—
373	C₁₆	—	13	1	no	—
374	C₁₆	—	26	2	no	—
375	C₁₆	—	26	1	no	—
376	C₁₃	#33858	1	1	yes	characteristic, complemented, Sylow
377	C₂³	—	4	2	no	—
378	C₂³	—	8	2	no	—
379	C₂³	—	52	2	no	—
380	C₂³	—	104	2	no	—
381	Q₈	—	2	1	no	—
382	Q₈	—	26	1	no	—
383	Q₈	C₂×#6104	1	2	yes	—
384	D₄	—	2	2	no	—
385	D₄	—	2	1	no	—
386	D₄	—	4	1	no	—
387	D₄	—	4	2	no	—
388	D₄	—	4	2	no	—
389	D₄	—	8	2	no	—
390	D₄	—	8	2	no	—
391	D₄	—	16	2	no	—
392	D₄	—	26	1	no	—
393	D₄	—	52	1	no	—
394	D₄	—	52	2	no	—
395	D₄	—	52	2	no	—
396	D₄	—	104	2	no	—
397	D₄	—	104	2	no	—
398	D₄	—	208	2	no	—
399	D₄	C₂×#6104	1	2	yes	—
400	C₂×C₄	—	2	1	no	—
401	C₂×C₄	—	2	2	no	—
402	C₂×C₄	—	4	1	no	—
403	C₂×C₄	—	8	2	no	—
404	C₂×C₄	—	52	1	no	—
405	C₂×C₄	—	104	2	no	—
406	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
407	C₈	—	2	2	no	—
408	C₈	—	4	1	no	—
409	C₈	—	52	1	no	—
410	C₈	C₂×#6104	1	1	yes	characteristic
411	C₈	C₂×#6104	1	1	yes	characteristic
412	C₈	C₂×D₄×D₁₃	1	1	yes	characteristic
413	C₈	#88251	1	1	yes	characteristic
414	C₂²	—	2	2	no	—
415	C₂²	—	4	1	no	—
416	C₂²	—	8	2	no	—
417	C₂²	—	16	2	no	—
418	C₂²	—	32	2	no	—
419	C₂²	—	52	1	no	—
420	C₂²	—	104	2	no	—
421	C₂²	—	416	2	no	—
422	C₂²	—	208	2	no	—
423	C₂²	#11719540	1	1	yes	characteristic
424	C₄	—	2	2	no	—
425	C₄	—	2	2	no	—
426	C₄	—	4	1	no	—
427	C₄	—	52	1	no	—
428	C₄	C₂²×#6104	1	1	yes	characteristic
429	C₄	D₄×C₂²⋊D₁₃	1	1	yes	characteristic
430	C₂	—	2	1	no	—
431	C₂	—	4	2	no	—
432	C₂	—	8	1	no	—
433	C₂	—	16	2	no	—
434	C₂	—	104	1	no	—
435	C₂	—	208	2	no	—
436	C₂	D₄×#6104	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄×#6104
commutator, cosocle	C₂×C₈×C₁₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	C₁₃×#3292	C₂
socle	C₂×C₁₃	D₄×D₈
hypercenter	#3292	D₁₃
hypocenter	C₁₃	#33858
LCS	G ▷ C₂×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #443 ◁ #3292

Complements

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

N	H ≅ G/N	type
1. #13127975	C₂	semidirect
2. #13126636	C₂	semidirect
3. #13117085	C₂	semidirect
4. #13116954	C₂	semidirect
5. #13116912	C₂	semidirect
6. #13116909	C₂	semidirect
7. #13116793	C₂	semidirect
8. #13116791	C₂	semidirect
9. #13116715	C₂	semidirect
10. #13116673	C₂	semidirect
11. C₁₃×#3292	C₂	semidirect
13. C₁₃×#576	C₂²	semidirect
15. #11719457	C₂²	semidirect
16. C₁₃×#493	C₂²	semidirect
18. C₁₃×#472	C₂²	semidirect
21. C₁₃×#443	C₂²	semidirect
25. #11718854	C₂²	semidirect
27. #11718808	C₂²	semidirect
29. C₂×#88066	C₂²	semidirect
30. C₂×#88066	C₂²	semidirect
31. #11718803	C₂²	semidirect
32. #11718801	C₂²	semidirect
35. #11718361	C₂²	semidirect
36. #11718356	C₂²	semidirect
37. #11718159	C₂²	semidirect
38. #11718155	C₂²	semidirect
39. #11718153	C₂²	semidirect
40. #11718089	C₂²	semidirect
41. #11718087	C₂²	semidirect
42. #11718085	C₂²	semidirect
43. #11718055	C₂²	semidirect
44. C₄×#6090	C₂²	semidirect
81. #88069	D₄	semidirect
83. #88068	D₄	semidirect
85. #88067	D₄	semidirect
91. #88066	D₄	semidirect
161. #3292	D₁₃	semidirect
210. #576	C₂×D₁₃	semidirect
222. #493	C₂×D₁₃	semidirect
226. #472	C₂×D₁₃	semidirect
231. #443	C₂×D₁₃	semidirect
376. C₁₃	#33858	semidirect

Maximal subgroups

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

subgroup	index
#13127975	2
#13126636	2
#13117085	2
#13116954	2
#13116912	2
#13116909	2
#13116793	2
#13116791	2
#13116715	2
#13116673	2
C₁₃×#3292	2
#33858	13