Subgroups — #29836805

Order 15616.

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	#21458958	C₂	1	2	yes	maximal, complemented
2	#21457619	C₂	1	1	yes	maximal, characteristic, complemented
3	#21448068	C₂	1	1	yes	maximal, characteristic, complemented
4	#21447937	C₂	1	2	yes	maximal, complemented
5	#21447895	C₂	1	1	yes	maximal, characteristic, complemented
6	#21447892	C₂	1	1	yes	maximal, characteristic, complemented
7	#21447776	C₂	1	2	yes	maximal, complemented
8	#21447774	C₂	1	2	yes	maximal, complemented
9	#21447698	C₂	1	1	yes	maximal, characteristic, complemented
10	#21447656	C₂	1	1	yes	maximal, characteristic, complemented
11	C₆₁×#3292	C₂	1	1	yes	maximal, characteristic, complemented
12	#16840567	C₂²	1	2	yes	complemented
13	#16840564	—	2	1	no	—
14	#16840198	—	2	2	no	—
15	#16840198	C₂²	1	2	yes	complemented
16	#16840197	—	2	2	no	—
17	#16840197	C₂²	1	2	yes	complemented
18	#16840192	—	2	2	no	—
19	#16840192	C₂²	1	1	yes	characteristic
20	C₂×#14519718	—	2	2	no	—
21	C₂×#14519718	C₂²	1	2	yes	complemented
22	C₂×#14519718	C₂²	1	2	yes	complemented
23	#16840179	C₂²	1	2	yes	complemented
24	#16840139	C₂²	1	1	yes	characteristic, complemented
25	#16840033	—	2	1	no	—
26	#16840032	C₂²	1	2	yes	complemented
27	#16839931	—	2	2	no	—
28	#16839880	C₂²	1	1	yes	characteristic, complemented
29	#16839591	C₂²	1	1	yes	characteristic, complemented
30	#16839583	C₂²	1	1	yes	characteristic, complemented
31	#16839575	C₂²	1	2	yes	complemented
32	#16839574	C₂²	1	2	yes	complemented
33	#16839569	C₂²	1	1	yes	characteristic, complemented
34	#16839568	C₂²	1	1	yes	characteristic, complemented
35	#16839546	C₂²	1	2	yes	complemented
36	C₄×#11758185	C₂²	1	1	yes	characteristic, complemented
37	C₆₁×#576	—	2	1	no	—
38	C₆₁×#576	C₂²	1	2	yes	complemented
39	C₆₁×#493	C₂²	1	1	yes	characteristic, complemented
40	C₆₁×#472	—	2	1	no	—
41	C₆₁×#472	C₂²	1	2	yes	complemented
42	C₆₁×#453	—	2	2	no	—
43	C₆₁×#443	C₂²	1	1	yes	characteristic
44	C₆₁×#443	C₂²	1	1	yes	characteristic, complemented
45	#14519823	—	2	2	no	—
46	#14519805	—	2	2	no	—
47	#14519805	—	4	2	no	—
48	#14519804	—	4	2	no	—
49	#14519802	—	2	2	no	—
50	#14519800	—	4	1	no	—
51	#14519799	—	2	2	no	—
52	#14519799	C₂³	1	1	yes	characteristic
53	C₂×D₄₈₈	—	2	2	no	—
54	C₂×D₄₈₈	—	2	1	no	—
55	C₂×D₄₈₈	C₂³	1	2	yes	—
56	D₈×D₆₁	—	4	1	no	—
57	#14519783	—	2	1	no	—
58	#14519774	—	2	1	no	—
59	#14519723	D₄	1	1	yes	characteristic, complemented
60	#14519721	—	2	2	no	—
61	#14519721	D₄	1	1	yes	characteristic, complemented
62	#14519720	—	2	2	no	—
63	#14519720	D₄	1	1	yes	characteristic, complemented
64	#14519718	—	2	2	no	—
65	#14519718	—	2	2	no	—
66	#14519718	—	2	2	no	—
67	#14519718	—	2	2	no	—
68	#14519718	—	4	2	no	—
69	#14519718	D₄	1	1	yes	characteristic, complemented
70	#14519717	—	2	2	no	—
71	#14519717	C₂³	1	2	yes	—
72	C₂×#11758185	—	2	2	no	—
73	C₂×#11758185	C₂³	1	1	yes	characteristic
74	C₂×#11758185	C₂³	1	1	yes	characteristic
75	#14519713	C₂³	1	1	yes	characteristic
76	#14519705	—	2	1	no	—
77	#14519693	—	2	2	no	—
78	H(5,𝔽₂)×C₆₁	—	2	2	no	—
79	AGL(1,ℤ/8)×C₆₁	—	2	2	no	—
80	AGL(1,ℤ/8)×C₆₁	—	2	2	no	—
81	AGL(1,ℤ/8)×C₆₁	—	4	2	no	—
82	AGL(1,ℤ/8)×C₆₁	—	4	2	no	—
83	#135×C₆₁	—	2	2	no	—
84	#135×C₆₁	—	4	1	no	—
85	#135×C₆₁	D₄	1	1	yes	characteristic
86	#135×C₆₁	C₂³	1	1	yes	characteristic
87	C₂×D₈×C₆₁	—	2	2	no	—
88	C₂×D₈×C₆₁	—	2	1	no	—
89	C₂×D₈×C₆₁	—	4	1	no	—
90	C₂×D₈×C₆₁	C₂³	1	2	yes	—
91	#131×C₆₁	—	2	1	no	—
92	#131×C₆₁	C₂³	1	2	yes	—
93	#127×C₆₁	—	2	1	no	—
94	#108×C₆₁	D₄	1	1	yes	characteristic
95	#108×C₆₁	C₂³	1	1	yes	characteristic
96	#104×C₆₁	—	2	1	no	—
97	#104×C₆₁	D₄	1	2	yes	—
98	#100×C₆₁	—	2	2	no	—
99	C₄×C₈×C₆₁	C₂³	1	1	yes	characteristic
100	#41×C₆₁	—	2	1	no	—
101	#41×C₆₁	—	4	2	no	—
102	#41×C₆₁	—	4	2	no	—
103	#41×C₆₁	C₂×D₄	1	2	yes	—
104	C₂×D₄×C₆₁	—	2	2	no	—
105	C₂×D₄×C₆₁	—	4	2	no	—
106	C₂×D₄×C₆₁	—	4	2	no	—
107	C₂×D₄×C₆₁	—	8	1	no	—
108	C₂×D₄×C₆₁	—	8	2	no	—
109	#11758226	—	4	2	no	—
110	D₄×D₆₁	—	4	2	no	—
111	D₄×D₆₁	—	8	2	no	—
112	#11758222	—	2	1	no	—
113	#11758222	—	4	2	no	—
114	C₂×D₂₄₄	—	2	2	no	—
115	C₂×D₂₄₄	—	4	2	no	—
116	C₂×D₂₄₄	—	8	1	no	—
117	Q₁₆×C₆₁	D₈	1	1	yes	characteristic
118	Q₁₆×C₆₁	C₂×D₄	1	1	yes	characteristic
119	SD₁₆×C₆₁	—	2	1	no	—
120	SD₁₆×C₆₁	—	4	2	no	—
121	SD₁₆×C₆₁	—	4	2	no	—
122	SD₁₆×C₆₁	D₈	1	2	yes	—
123	D₈×C₆₁	—	2	2	no	—
124	D₈×C₆₁	—	2	2	no	—
125	D₈×C₆₁	—	4	2	no	—
126	D₈×C₆₁	—	4	2	no	—
127	D₈×C₆₁	—	4	1	no	—
128	D₈×C₆₁	—	4	1	no	—
129	D₈×C₆₁	D₈	1	1	yes	characteristic
130	D₈×C₆₁	C₂×D₄	1	1	yes	characteristic
131	M₁₆×C₆₁	—	2	2	no	—
132	M₁₆×C₆₁	—	2	1	no	—
133	M₁₆×C₆₁	—	4	1	no	—
134	M₁₆×C₆₁	C₂×D₄	1	2	yes	—
135	C₂×C₈×C₆₁	—	2	2	no	—
136	C₂×C₈×C₆₁	—	4	1	no	—
137	C₂×C₈×C₆₁	C₂×D₄	1	1	yes	characteristic
138	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
139	C₄²×C₆₁	C₂×D₄	1	1	yes	characteristic
140	#11758201	—	4	2	no	—
141	#11758199	—	4	2	no	—
142	#11758194	—	2	1	no	—
143	Dic₂₄₄	C₂×D₄	1	1	yes	characteristic
144	D₄₈₈	—	2	2	no	—
145	D₄₈₈	—	2	2	no	—
146	D₄₈₈	—	4	2	no	—
147	D₄₈₈	—	4	1	no	—
148	D₄₈₈	—	4	1	no	—
149	D₄₈₈	C₂×D₄	1	1	yes	characteristic
150	#11758190	—	2	1	no	—
151	#11758190	—	4	2	no	—
152	#11758189	—	4	1	no	—
153	C₈×D₆₁	—	4	1	no	—
154	#11758185	—	2	2	no	—
155	#11758185	—	2	1	no	—
156	#11758185	C₂×D₄	1	1	yes	characteristic
157	#11758185	C₂×D₄	1	1	yes	characteristic
158	C₂³×C₆₁	—	4	2	no	—
159	C₂³×C₆₁	—	8	2	no	—
160	C₂²×D₆₁	—	4	2	no	—
161	C₂²×D₆₁	—	8	2	no	—
162	Q₈×C₆₁	—	2	1	no	—
163	Q₈×C₆₁	C₂×D₈	1	2	yes	—
164	D₄×C₆₁	—	2	2	no	—
165	D₄×C₆₁	—	2	1	no	—
166	D₄×C₆₁	—	4	1	no	—
167	D₄×C₆₁	—	4	2	no	—
168	D₄×C₆₁	—	4	2	no	—
169	D₄×C₆₁	—	8	2	no	—
170	D₄×C₆₁	—	8	2	no	—
171	D₄×C₆₁	—	16	2	no	—
172	D₄×C₆₁	C₂×D₈	1	2	yes	—
173	C₂×C₄×C₆₁	—	2	1	no	—
174	C₂×C₄×C₆₁	—	2	2	no	—
175	C₂×C₄×C₆₁	—	4	1	no	—
176	C₂×C₄×C₆₁	—	8	2	no	—
177	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
178	C₂²⋊D₆₁	—	4	1	no	—
179	C₂²⋊D₆₁	—	8	2	no	—
180	D₂₄₄	—	2	1	no	—
181	D₂₄₄	—	4	2	no	—
182	D₂₄₄	—	4	2	no	—
183	D₂₄₄	—	8	2	no	—
184	D₂₄₄	—	16	2	no	—
185	C₄×D₆₁	—	4	1	no	—
186	C₄×D₆₁	—	8	2	no	—
187	Dic₁₂₂	—	2	1	no	—
188	C₈×C₆₁	—	2	2	no	—
189	C₈×C₆₁	—	4	1	no	—
190	C₈×C₆₁	C₂×D₈	1	1	yes	characteristic
191	C₈×C₆₁	C₂×D₈	1	1	yes	characteristic
192	C₈×C₆₁	C₂²×D₄	1	1	yes	characteristic
193	C₈×C₆₁	H(5,𝔽₂)	1	1	yes	characteristic
194	#92418	—	4	1	no	—
195	#33858	—	61	1	no	maximal, Sylow
196	C₂²×C₆₁	—	2	2	no	—
197	C₂²×C₆₁	—	4	1	no	—
198	C₂²×C₆₁	—	8	2	no	—
199	C₂²×C₆₁	—	16	2	no	—
200	C₂²×C₆₁	—	32	2	no	—
201	C₂²×C₆₁	#576	1	1	yes	characteristic
202	C₂×D₆₁	—	4	1	no	—
203	C₂×D₆₁	—	8	2	no	—
204	C₂×D₆₁	—	16	2	no	—
205	C₂×D₆₁	—	32	2	no	—
206	C₄×C₆₁	—	2	2	no	—
207	C₄×C₆₁	—	2	2	no	—
208	C₄×C₆₁	—	4	1	no	—
209	C₄×C₆₁	D₄²	1	1	yes	characteristic
210	C₄×C₆₁	C₂²×D₈	1	1	yes	characteristic
211	Dic₆₁	—	4	1	no	—
212	#3415	—	61	2	no	—
213	#3292	—	61	1	no	—
214	#3292	D₆₁	1	1	yes	characteristic, complemented
215	#2246	—	61	1	no	—
216	#2221	—	61	2	no	—
217	#2213	—	61	1	no	—
218	#2213	—	61	1	no	—
219	#2192	—	61	2	no	—
220	#2192	—	61	2	no	—
221	#2178	—	61	1	no	—
222	#2170	—	61	1	no	—
223	C₂×C₆₁	—	2	1	no	—
224	C₂×C₆₁	—	4	2	no	—
225	C₂×C₆₁	—	8	1	no	—
226	C₂×C₆₁	—	16	2	no	—
227	C₂×C₆₁	D₄×D₈	1	1	yes	characteristic
228	D₆₁	—	8	1	no	—
229	D₆₁	—	16	2	no	—
230	#576	—	2	1	no	—
231	#576	—	61	2	no	—
232	#576	—	122	1	no	—
233	#576	C₂×D₆₁	1	2	yes	complemented
234	#509	—	61	2	no	—
235	#509	—	61	2	no	—
236	#509	—	122	2	no	—
237	#509	—	122	2	no	—
238	#508	—	61	1	no	—
239	#508	—	122	2	no	—
240	C₂×D₁₆	—	61	2	no	—
241	C₂×D₁₆	—	61	2	no	—
242	C₂×D₁₆	—	122	2	no	—
243	#504	—	61	2	no	—
244	#493	—	61	1	no	—
245	#493	C₂×D₆₁	1	1	yes	characteristic, complemented
246	#472	—	2	1	no	—
247	#472	—	61	2	no	—
248	#472	—	122	1	no	—
249	#472	C₂×D₆₁	1	2	yes	complemented
250	#453	—	2	2	no	—
251	#453	—	122	2	no	—
252	#443	—	61	1	no	—
253	#443	C₂×D₆₁	1	1	yes	characteristic
254	#443	C₂×D₆₁	1	1	yes	characteristic, complemented
255	#368	—	61	1	no	—
256	#364	—	61	1	no	—
257	#361	—	61	2	no	—
258	#361	—	61	2	no	—
259	#359	—	61	1	no	—
260	#359	—	61	1	no	—
261	#350	—	61	2	no	—
262	C₄×C₁₆	—	61	1	no	—
263	C₆₁	#33858	1	1	yes	characteristic, complemented, Sylow
264	H(5,𝔽₂)	—	2	2	no	—
265	H(5,𝔽₂)	—	122	2	no	—
266	AGL(1,ℤ/8)	—	2	2	no	—
267	AGL(1,ℤ/8)	—	2	2	no	—
268	AGL(1,ℤ/8)	—	4	2	no	—
269	AGL(1,ℤ/8)	—	4	2	no	—
270	AGL(1,ℤ/8)	—	122	2	no	—
271	AGL(1,ℤ/8)	—	122	2	no	—
272	AGL(1,ℤ/8)	—	244	2	no	—
273	AGL(1,ℤ/8)	—	244	2	no	—
274	#135	—	2	2	no	—
275	#135	—	4	1	no	—
276	#135	—	61	1	no	—
277	#135	—	122	2	no	—
278	#135	—	244	1	no	—
279	#135	C₂²⋊D₆₁	1	1	yes	characteristic
280	#135	C₂²×D₆₁	1	1	yes	characteristic
281	C₂×D₈	—	2	2	no	—
282	C₂×D₈	—	2	1	no	—
283	C₂×D₈	—	4	1	no	—
284	C₂×D₈	—	61	2	no	—
285	C₂×D₈	—	122	2	no	—
286	C₂×D₈	—	122	1	no	—
287	C₂×D₈	—	244	1	no	—
288	C₂×D₈	C₂²×D₆₁	1	2	yes	—
289	#131	—	2	1	no	—
290	#131	—	122	1	no	—
291	#131	C₂²×D₆₁	1	2	yes	—
292	#127	—	2	1	no	—
293	#127	—	122	1	no	—
294	Q₃₂	—	61	1	no	—
295	SD₃₂	—	61	1	no	—
296	SD₃₂	—	61	1	no	—
297	SD₃₂	—	122	2	no	—
298	SD₃₂	—	122	2	no	—
299	D₁₆	—	61	1	no	—
300	D₁₆	—	122	2	no	—
301	D₁₆	—	122	2	no	—
302	D₁₆	—	122	2	no	—
303	D₁₆	—	122	2	no	—
304	D₁₆	—	244	2	no	—
305	M₃₂	—	61	2	no	—
306	M₃₂	—	122	2	no	—
307	C₂×C₁₆	—	61	1	no	—
308	C₂×C₁₆	—	61	1	no	—
309	C₂×C₁₆	—	122	2	no	—
310	#108	—	61	1	no	—
311	#108	C₂²⋊D₆₁	1	1	yes	characteristic
312	#108	C₂²×D₆₁	1	1	yes	characteristic
313	#104	—	2	1	no	—
314	#104	—	122	1	no	—
315	#104	C₂²⋊D₆₁	1	2	yes	—
316	#100	—	2	2	no	—
317	#100	—	122	2	no	—
318	C₄×C₈	C₂²×D₆₁	1	1	yes	characteristic
319	#41	—	2	1	no	—
320	#41	—	4	2	no	—
321	#41	—	4	2	no	—
322	#41	—	122	1	no	—
323	#41	—	244	2	no	—
324	#41	—	244	2	no	—
325	#41	C₂×C₂²⋊D₆₁	1	2	yes	—
326	C₂×D₄	—	2	2	no	—
327	C₂×D₄	—	4	2	no	—
328	C₂×D₄	—	4	2	no	—
329	C₂×D₄	—	8	1	no	—
330	C₂×D₄	—	8	2	no	—
331	C₂×D₄	—	122	2	no	—
332	C₂×D₄	—	488	1	no	—
333	C₂×D₄	—	488	2	no	—
334	C₂×D₄	—	244	2	no	—
335	C₂×D₄	—	244	2	no	—
336	Q₁₆	—	61	1	no	—
337	Q₁₆	#11758199	1	1	yes	characteristic
338	Q₁₆	D₄×D₆₁	1	1	yes	characteristic
339	SD₁₆	—	2	1	no	—
340	SD₁₆	—	4	2	no	—
341	SD₁₆	—	4	2	no	—
342	SD₁₆	—	122	1	no	—
343	SD₁₆	—	244	2	no	—
344	SD₁₆	—	244	2	no	—
345	SD₁₆	#11758199	1	2	yes	—
346	D₈	—	2	2	no	—
347	D₈	—	2	2	no	—
348	D₈	—	4	2	no	—
349	D₈	—	4	2	no	—
350	D₈	—	4	1	no	—
351	D₈	—	4	1	no	—
352	D₈	—	61	1	no	—
353	D₈	—	122	2	no	—
354	D₈	—	122	2	no	—
355	D₈	—	244	2	no	—
356	D₈	—	244	2	no	—
357	D₈	—	244	1	no	—
358	D₈	—	244	1	no	—
359	D₈	#11758199	1	1	yes	characteristic
360	D₈	D₄×D₆₁	1	1	yes	characteristic
361	M₁₆	—	2	2	no	—
362	M₁₆	—	2	1	no	—
363	M₁₆	—	4	1	no	—
364	M₁₆	—	122	1	no	—
365	M₁₆	—	244	1	no	—
366	M₁₆	C₂×C₂²⋊D₆₁	1	2	yes	—
367	C₂×C₈	—	2	2	no	—
368	C₂×C₈	—	4	1	no	—
369	C₂×C₈	—	244	1	no	—
370	C₂×C₈	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
371	C₂×C₈	C₂³×D₆₁	1	1	yes	characteristic
372	C₄²	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
373	C₁₆	—	61	1	no	—
374	C₁₆	—	61	1	no	—
375	C₁₆	—	122	2	no	—
376	C₁₆	—	122	1	no	—
377	C₂³	—	4	2	no	—
378	C₂³	—	8	2	no	—
379	C₂³	—	488	2	no	—
380	C₂³	—	244	2	no	—
381	Q₈	—	2	1	no	—
382	Q₈	—	122	1	no	—
383	Q₈	C₂×#11758199	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	—	122	1	no	—
393	D₄	—	976	2	no	—
394	D₄	—	488	2	no	—
395	D₄	—	488	2	no	—
396	D₄	—	244	1	no	—
397	D₄	—	244	2	no	—
398	D₄	—	244	2	no	—
399	D₄	C₂×#11758199	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	—	488	2	no	—
405	C₂×C₄	—	244	1	no	—
406	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
407	C₈	—	2	2	no	—
408	C₈	—	4	1	no	—
409	C₈	—	244	1	no	—
410	C₈	C₂×#11758199	1	1	yes	characteristic
411	C₈	C₂×#11758199	1	1	yes	characteristic
412	C₈	C₂×D₄×D₆₁	1	1	yes	characteristic
413	C₈	#14519822	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	—	1952	2	no	—
420	C₂²	—	976	2	no	—
421	C₂²	—	488	2	no	—
422	C₂²	—	244	1	no	—
423	C₂²	#16840565	1	1	yes	characteristic
424	C₄	—	2	2	no	—
425	C₄	—	2	2	no	—
426	C₄	—	4	1	no	—
427	C₄	—	244	1	no	—
428	C₄	D₄×C₂²⋊D₆₁	1	1	yes	characteristic
429	C₄	C₂²×#11758199	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	—	976	2	no	—
435	C₂	—	488	1	no	—
436	C₂	D₄×#11758199	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄×#11758199
commutator, cosocle	C₂×C₈×C₆₁	C₂⁴
Frattini	C₂×C₈	C₂³×D₆₁
Fitting	C₆₁×#3292	C₂
socle	C₂×C₆₁	D₄×D₈
hypercenter	#3292	D₆₁
hypocenter	C₆₁	#33858
LCS	G ▷ C₂×C₈×C₆₁ ▷ C₄×C₆₁ ▷ C₂×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #443 ◁ #3292

Complements

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

N	H ≅ G/N	type
1. #21458958	C₂	semidirect
2. #21457619	C₂	semidirect
3. #21448068	C₂	semidirect
4. #21447937	C₂	semidirect
5. #21447895	C₂	semidirect
6. #21447892	C₂	semidirect
7. #21447776	C₂	semidirect
8. #21447774	C₂	semidirect
9. #21447698	C₂	semidirect
10. #21447656	C₂	semidirect
11. C₆₁×#3292	C₂	semidirect
12. #16840567	C₂²	semidirect
15. #16840198	C₂²	semidirect
17. #16840197	C₂²	semidirect
21. C₂×#14519718	C₂²	semidirect
22. C₂×#14519718	C₂²	semidirect
23. #16840179	C₂²	semidirect
24. #16840139	C₂²	semidirect
26. #16840032	C₂²	semidirect
28. #16839880	C₂²	semidirect
29. #16839591	C₂²	semidirect
30. #16839583	C₂²	semidirect
31. #16839575	C₂²	semidirect
32. #16839574	C₂²	semidirect
33. #16839569	C₂²	semidirect
34. #16839568	C₂²	semidirect
35. #16839546	C₂²	semidirect
36. C₄×#11758185	C₂²	semidirect
38. C₆₁×#576	C₂²	semidirect
39. C₆₁×#493	C₂²	semidirect
41. C₆₁×#472	C₂²	semidirect
44. C₆₁×#443	C₂²	semidirect
59. #14519723	D₄	semidirect
61. #14519721	D₄	semidirect
63. #14519720	D₄	semidirect
69. #14519718	D₄	semidirect
214. #3292	D₆₁	semidirect
233. #576	C₂×D₆₁	semidirect
245. #493	C₂×D₆₁	semidirect
249. #472	C₂×D₆₁	semidirect
254. #443	C₂×D₆₁	semidirect
263. C₆₁	#33858	semidirect

Maximal subgroups

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

subgroup	index
#21458958	2
#21457619	2
#21448068	2
#21447937	2
#21447895	2
#21447892	2
#21447776	2
#21447774	2
#21447698	2
#21447656	2
C₆₁×#3292	2
#33858	61