Subgroups — #29836789

Order 15616.

652 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21458963	C₂	1	2	yes	maximal, complemented
2	#21457619	C₂	1	1	yes	maximal, characteristic, complemented
3	#21448076	C₂	1	1	yes	maximal, characteristic, complemented
4	#21447951	C₂	1	2	yes	maximal, complemented
5	#21447897	C₂	1	1	yes	maximal, characteristic, complemented
6	#21447895	C₂	1	1	yes	maximal, characteristic, complemented
7	#21447788	C₂	1	2	yes	maximal, complemented
8	#21447783	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×#3293	C₂	1	1	yes	maximal, characteristic, complemented
12	#16840567	C₂²	1	2	yes	—
13	#16840564	—	2	1	no	—
14	#16840203	—	2	2	no	—
15	#16840203	C₂²	1	2	yes	—
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×#14519720	—	2	2	no	—
21	C₂×#14519720	C₂²	1	2	yes	complemented
22	C₂×#14519720	C₂²	1	2	yes	complemented
23	#16840179	C₂²	1	2	yes	complemented
24	#16840139	C₂²	1	1	yes	characteristic
25	#16840033	—	2	1	no	—
26	#16840032	C₂²	1	2	yes	—
27	#16839931	—	2	2	no	—
28	#16839880	C₂²	1	1	yes	characteristic
29	#16839591	C₂²	1	1	yes	characteristic, complemented
30	#16839583	C₂²	1	1	yes	characteristic, complemented
31	#16839578	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
35	#16839546	C₂²	1	2	yes	complemented
36	C₄×#11758185	C₂²	1	1	yes	characteristic, complemented
37	C₆₁×#578	—	2	1	no	—
38	C₆₁×#578	C₂²	1	2	yes	complemented
39	C₆₁×#494	C₂²	1	1	yes	characteristic, complemented
40	C₆₁×#473	—	2	1	no	—
41	C₆₁×#473	C₂²	1	2	yes	complemented
42	C₆₁×#456	—	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	—	2	2	no	—
60	#14519723	D₄	1	1	yes	characteristic, complemented
61	#14519721	D₄	1	1	yes	characteristic, complemented
62	#14519720	—	2	2	no	—
63	#14519720	—	2	2	no	—
64	#14519720	—	2	2	no	—
65	#14519720	—	2	2	no	—
66	#14519720	—	4	2	no	—
67	#14519720	D₄	1	1	yes	characteristic, complemented
68	#14519718	—	2	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	2₋¹⁺⁴×C₆₁	—	2	2	no	—
79	#137×C₆₁	—	2	2	no	—
80	#137×C₆₁	—	2	2	no	—
81	#137×C₆₁	—	4	2	no	—
82	#137×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×Q₁₆×C₆₁	—	2	2	no	—
88	C₂×Q₁₆×C₆₁	—	2	1	no	—
89	C₂×Q₁₆×C₆₁	—	4	1	no	—
90	C₂×Q₁₆×C₆₁	C₂³	1	2	yes	—
91	#131×C₆₁	—	2	1	no	—
92	#131×C₆₁	C₂³	1	2	yes	—
93	C₄⋊Q₈×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	#101×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	—	8	2	no	—
104	#41×C₆₁	C₂×D₄	1	2	yes	—
105	C₂×Q₈×C₆₁	—	2	2	no	—
106	C₂×Q₈×C₆₁	—	4	2	no	—
107	C₂×Q₈×C₆₁	—	4	2	no	—
108	#11758226	—	4	2	no	—
109	D₄×D₆₁	—	4	2	no	—
110	D₄×D₆₁	—	8	2	no	—
111	#11758222	—	2	1	no	—
112	#11758222	—	4	2	no	—
113	C₂×D₂₄₄	—	2	2	no	—
114	C₂×D₂₄₄	—	4	2	no	—
115	C₂×D₂₄₄	—	8	1	no	—
116	Q₁₆×C₆₁	—	2	2	no	—
117	Q₁₆×C₆₁	—	2	2	no	—
118	Q₁₆×C₆₁	—	4	2	no	—
119	Q₁₆×C₆₁	—	4	2	no	—
120	Q₁₆×C₆₁	—	4	1	no	—
121	Q₁₆×C₆₁	—	4	1	no	—
122	Q₁₆×C₆₁	D₈	1	1	yes	characteristic
123	Q₁₆×C₆₁	C₂×D₄	1	1	yes	characteristic
124	SD₁₆×C₆₁	—	2	1	no	—
125	SD₁₆×C₆₁	—	4	2	no	—
126	SD₁₆×C₆₁	—	4	2	no	—
127	SD₁₆×C₆₁	D₈	1	2	yes	—
128	D₈×C₆₁	D₈	1	1	yes	characteristic
129	D₈×C₆₁	C₂×D₄	1	1	yes	characteristic
130	M₁₆×C₆₁	—	2	2	no	—
131	M₁₆×C₆₁	—	2	1	no	—
132	M₁₆×C₆₁	—	4	1	no	—
133	M₁₆×C₆₁	C₂×D₄	1	2	yes	—
134	C₂×C₈×C₆₁	—	2	2	no	—
135	C₂×C₈×C₆₁	—	4	1	no	—
136	C₂×C₈×C₆₁	C₂×D₄	1	1	yes	characteristic
137	C₂×C₈×C₆₁	C₂⁴	1	1	yes	characteristic
138	C₄⋊C₄×C₆₁	—	8	1	no	—
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	C₂²×D₆₁	—	4	2	no	—
159	C₂²×D₆₁	—	8	2	no	—
160	Q₈×C₆₁	—	2	1	no	—
161	Q₈×C₆₁	—	4	2	no	—
162	Q₈×C₆₁	—	4	2	no	—
163	Q₈×C₆₁	—	8	2	no	—
164	Q₈×C₆₁	C₂×D₈	1	2	yes	—
165	D₄×C₆₁	—	2	2	no	—
166	D₄×C₆₁	—	2	1	no	—
167	D₄×C₆₁	—	4	1	no	—
168	D₄×C₆₁	—	8	2	no	—
169	D₄×C₆₁	C₂×D₈	1	2	yes	—
170	C₂×C₄×C₆₁	—	2	1	no	—
171	C₂×C₄×C₆₁	—	2	2	no	—
172	C₂×C₄×C₆₁	—	4	1	no	—
173	C₂×C₄×C₆₁	—	4	2	no	—
174	C₂×C₄×C₆₁	—	8	2	no	—
175	C₂×C₄×C₆₁	—	8	2	no	—
176	C₂×C₄×C₆₁	C₂²×D₄	1	1	yes	characteristic
177	C₂²⋊D₆₁	—	4	1	no	—
178	C₂²⋊D₆₁	—	8	2	no	—
179	D₂₄₄	—	2	1	no	—
180	D₂₄₄	—	4	2	no	—
181	D₂₄₄	—	4	2	no	—
182	D₂₄₄	—	8	2	no	—
183	D₂₄₄	—	16	2	no	—
184	C₄×D₆₁	—	4	1	no	—
185	C₄×D₆₁	—	8	2	no	—
186	Dic₁₂₂	—	2	1	no	—
187	C₈×C₆₁	—	2	2	no	—
188	C₈×C₆₁	—	4	1	no	—
189	C₈×C₆₁	C₂×D₈	1	1	yes	characteristic
190	C₈×C₆₁	C₂×D₈	1	1	yes	characteristic
191	C₈×C₆₁	C₂²×D₄	1	1	yes	characteristic
192	C₈×C₆₁	H(5,𝔽₂)	1	1	yes	characteristic
193	#92418	—	4	1	no	—
194	#33856	—	61	1	no	maximal, Sylow
195	C₂²×C₆₁	—	2	2	no	—
196	C₂²×C₆₁	—	4	1	no	—
197	C₂²×C₆₁	#576	1	1	yes	characteristic
198	C₂×D₆₁	—	4	1	no	—
199	C₂×D₆₁	—	8	2	no	—
200	C₂×D₆₁	—	16	2	no	—
201	C₂×D₆₁	—	32	2	no	—
202	C₄×C₆₁	—	2	2	no	—
203	C₄×C₆₁	—	2	2	no	—
204	C₄×C₆₁	—	4	1	no	—
205	C₄×C₆₁	—	8	2	no	—
206	C₄×C₆₁	D₄²	1	1	yes	characteristic
207	C₄×C₆₁	C₂²×D₈	1	1	yes	characteristic
208	Dic₆₁	—	4	1	no	—
209	#3416	—	61	2	no	—
210	#3293	D₆₁	1	1	yes	characteristic, complemented
211	#3292	—	61	1	no	—
212	#2248	—	61	1	no	—
213	#2223	—	61	2	no	—
214	#2214	—	61	1	no	—
215	#2213	—	61	1	no	—
216	#2194	—	61	2	no	—
217	#2193	—	61	2	no	—
218	#2178	—	61	1	no	—
219	#2170	—	61	1	no	—
220	C₂×C₆₁	—	2	1	no	—
221	C₂×C₆₁	—	4	2	no	—
222	C₂×C₆₁	—	8	1	no	—
223	C₂×C₆₁	D₄×D₈	1	1	yes	characteristic
224	D₆₁	—	8	1	no	—
225	D₆₁	—	16	2	no	—
226	#578	—	2	1	no	—
227	#578	C₂×D₆₁	1	2	yes	complemented
228	#576	—	61	2	no	—
229	#576	—	122	1	no	—
230	#510	—	61	2	no	—
231	#510	—	122	2	no	—
232	#509	—	61	2	no	—
233	#509	—	122	2	no	—
234	#508	—	61	1	no	—
235	#508	—	122	2	no	—
236	C₂×SD₃₂	—	61	2	no	—
237	C₂×SD₃₂	—	61	2	no	—
238	C₂×SD₃₂	—	122	2	no	—
239	#504	—	61	2	no	—
240	#494	C₂×D₆₁	1	1	yes	characteristic, complemented
241	#493	—	61	1	no	—
242	#473	—	2	1	no	—
243	#473	C₂×D₆₁	1	2	yes	complemented
244	#472	—	61	2	no	—
245	#472	—	122	1	no	—
246	#456	—	2	2	no	—
247	#453	—	122	2	no	—
248	#443	—	61	1	no	—
249	#443	C₂×D₆₁	1	1	yes	characteristic
250	#443	C₂×D₆₁	1	1	yes	characteristic, complemented
251	#368	—	61	1	no	—
252	#364	—	61	1	no	—
253	#362	—	61	2	no	—
254	#361	—	61	2	no	—
255	#359	—	61	1	no	—
256	#359	—	61	1	no	—
257	#350	—	61	2	no	—
258	C₄×C₁₆	—	61	1	no	—
259	C₆₁	#33856	1	1	yes	characteristic, complemented, Sylow
260	2₋¹⁺⁴	—	2	2	no	—
261	H(5,𝔽₂)	—	122	2	no	—
262	#137	—	2	2	no	—
263	#137	—	2	2	no	—
264	#137	—	4	2	no	—
265	#137	—	4	2	no	—
266	AGL(1,ℤ/8)	—	122	2	no	—
267	AGL(1,ℤ/8)	—	122	2	no	—
268	AGL(1,ℤ/8)	—	244	2	no	—
269	AGL(1,ℤ/8)	—	244	2	no	—
270	#135	—	2	2	no	—
271	#135	—	4	1	no	—
272	#135	—	61	1	no	—
273	#135	—	122	2	no	—
274	#135	—	244	1	no	—
275	#135	C₂²⋊D₆₁	1	1	yes	characteristic
276	#135	C₂²×D₆₁	1	1	yes	characteristic
277	C₂×Q₁₆	—	2	2	no	—
278	C₂×Q₁₆	—	2	1	no	—
279	C₂×Q₁₆	—	4	1	no	—
280	C₂×Q₁₆	C₂²×D₆₁	1	2	yes	—
281	C₂×D₈	—	61	2	no	—
282	C₂×D₈	—	122	2	no	—
283	C₂×D₈	—	122	1	no	—
284	C₂×D₈	—	244	1	no	—
285	#131	—	2	1	no	—
286	#131	—	122	1	no	—
287	#131	C₂²×D₆₁	1	2	yes	—
288	C₄⋊Q₈	—	2	1	no	—
289	#127	—	122	1	no	—
290	Q₃₂	—	61	1	no	—
291	Q₃₂	—	122	2	no	—
292	SD₃₂	—	61	1	no	—
293	SD₃₂	—	61	1	no	—
294	SD₃₂	—	122	2	no	—
295	SD₃₂	—	122	2	no	—
296	SD₃₂	—	122	2	no	—
297	SD₃₂	—	122	2	no	—
298	SD₃₂	—	244	2	no	—
299	D₁₆	—	61	1	no	—
300	D₁₆	—	122	2	no	—
301	M₃₂	—	61	2	no	—
302	M₃₂	—	122	2	no	—
303	C₂×C₁₆	—	61	1	no	—
304	C₂×C₁₆	—	61	1	no	—
305	C₂×C₁₆	—	122	2	no	—
306	#108	—	61	1	no	—
307	#108	C₂²⋊D₆₁	1	1	yes	characteristic
308	#108	C₂²×D₆₁	1	1	yes	characteristic
309	#104	—	2	1	no	—
310	#104	—	122	1	no	—
311	#104	C₂²⋊D₆₁	1	2	yes	—
312	#101	—	2	2	no	—
313	#100	—	122	2	no	—
314	C₄×C₈	C₂²×D₆₁	1	1	yes	characteristic
315	#41	—	2	1	no	—
316	#41	—	4	2	no	—
317	#41	—	4	2	no	—
318	#41	—	8	2	no	—
319	#41	—	122	1	no	—
320	#41	—	244	2	no	—
321	#41	—	244	2	no	—
322	#41	C₂×C₂²⋊D₆₁	1	2	yes	—
323	C₂×Q₈	—	2	2	no	—
324	C₂×Q₈	—	4	2	no	—
325	C₂×Q₈	—	4	2	no	—
326	C₂×D₄	—	122	2	no	—
327	C₂×D₄	—	488	1	no	—
328	C₂×D₄	—	488	2	no	—
329	C₂×D₄	—	244	2	no	—
330	C₂×D₄	—	244	2	no	—
331	Q₁₆	—	2	2	no	—
332	Q₁₆	—	2	2	no	—
333	Q₁₆	—	4	2	no	—
334	Q₁₆	—	4	2	no	—
335	Q₁₆	—	4	1	no	—
336	Q₁₆	—	4	1	no	—
337	Q₁₆	—	61	1	no	—
338	Q₁₆	#11758199	1	1	yes	characteristic
339	Q₁₆	D₄×D₆₁	1	1	yes	characteristic
340	SD₁₆	—	2	1	no	—
341	SD₁₆	—	4	2	no	—
342	SD₁₆	—	4	2	no	—
343	SD₁₆	—	122	1	no	—
344	SD₁₆	—	244	2	no	—
345	SD₁₆	—	244	2	no	—
346	SD₁₆	#11758199	1	2	yes	—
347	D₈	—	61	1	no	—
348	D₈	—	122	2	no	—
349	D₈	—	122	2	no	—
350	D₈	—	244	2	no	—
351	D₈	—	244	2	no	—
352	D₈	—	244	1	no	—
353	D₈	—	244	1	no	—
354	D₈	#11758199	1	1	yes	characteristic
355	D₈	D₄×D₆₁	1	1	yes	characteristic
356	M₁₆	—	2	2	no	—
357	M₁₆	—	2	1	no	—
358	M₁₆	—	4	1	no	—
359	M₁₆	—	122	1	no	—
360	M₁₆	—	244	1	no	—
361	M₁₆	C₂×C₂²⋊D₆₁	1	2	yes	—
362	C₂×C₈	—	2	2	no	—
363	C₂×C₈	—	4	1	no	—
364	C₂×C₈	—	244	1	no	—
365	C₂×C₈	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
366	C₂×C₈	C₂³×D₆₁	1	1	yes	characteristic
367	C₄⋊C₄	—	8	1	no	—
368	C₄²	C₂×C₂²⋊D₆₁	1	1	yes	characteristic
369	C₁₆	—	61	1	no	—
370	C₁₆	—	61	1	no	—
371	C₁₆	—	122	2	no	—
372	C₁₆	—	122	1	no	—
373	C₂³	—	488	2	no	—
374	C₂³	—	244	2	no	—
375	Q₈	—	2	1	no	—
376	Q₈	—	4	2	no	—
377	Q₈	—	4	2	no	—
378	Q₈	—	8	2	no	—
379	Q₈	—	122	1	no	—
380	Q₈	C₂×#11758199	1	2	yes	—
381	D₄	—	2	2	no	—
382	D₄	—	2	1	no	—
383	D₄	—	4	1	no	—
384	D₄	—	8	2	no	—
385	D₄	—	122	1	no	—
386	D₄	—	976	2	no	—
387	D₄	—	488	2	no	—
388	D₄	—	488	2	no	—
389	D₄	—	244	1	no	—
390	D₄	—	244	2	no	—
391	D₄	—	244	2	no	—
392	D₄	C₂×#11758199	1	2	yes	—
393	C₂×C₄	—	2	1	no	—
394	C₂×C₄	—	2	2	no	—
395	C₂×C₄	—	4	1	no	—
396	C₂×C₄	—	4	2	no	—
397	C₂×C₄	—	8	2	no	—
398	C₂×C₄	—	8	2	no	—
399	C₂×C₄	—	488	2	no	—
400	C₂×C₄	—	244	1	no	—
401	C₂×C₄	C₂²×C₂²⋊D₆₁	1	1	yes	characteristic
402	C₈	—	2	2	no	—
403	C₈	—	4	1	no	—
404	C₈	—	244	1	no	—
405	C₈	C₂×#11758199	1	1	yes	characteristic
406	C₈	C₂×#11758199	1	1	yes	characteristic
407	C₈	C₂×D₄×D₆₁	1	1	yes	characteristic
408	C₈	#14519822	1	1	yes	characteristic
409	C₂²	—	2	2	no	—
410	C₂²	—	4	1	no	—
411	C₂²	—	1952	2	no	—
412	C₂²	—	976	2	no	—
413	C₂²	—	488	2	no	—
414	C₂²	—	244	1	no	—
415	C₂²	#16840565	1	1	yes	characteristic
416	C₄	—	2	2	no	—
417	C₄	—	2	2	no	—
418	C₄	—	4	1	no	—
419	C₄	—	8	2	no	—
420	C₄	—	244	1	no	—
421	C₄	D₄×C₂²⋊D₆₁	1	1	yes	characteristic
422	C₄	C₂²×#11758199	1	1	yes	characteristic
423	C₂	—	2	1	no	—
424	C₂	—	4	2	no	—
425	C₂	—	8	1	no	—
426	C₂	—	976	2	no	—
427	C₂	—	488	1	no	—
428	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×#3293	C₂
socle	C₂×C₆₁	D₄×D₈
hypercenter	#3293	D₆₁
hypocenter	C₆₁	#33856
LCS	G ▷ C₂×C₈×C₆₁ ▷ C₄×C₆₁ ▷ C₂×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #443 ◁ #3293

Complements

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

N	H ≅ G/N	type
1. #21458963	C₂	semidirect
2. #21457619	C₂	semidirect
3. #21448076	C₂	semidirect
4. #21447951	C₂	semidirect
5. #21447897	C₂	semidirect
6. #21447895	C₂	semidirect
7. #21447788	C₂	semidirect
8. #21447783	C₂	semidirect
9. #21447698	C₂	semidirect
10. #21447656	C₂	semidirect
11. C₆₁×#3293	C₂	semidirect
17. #16840197	C₂²	semidirect
21. C₂×#14519720	C₂²	semidirect
22. C₂×#14519720	C₂²	semidirect
23. #16840179	C₂²	semidirect
29. #16839591	C₂²	semidirect
30. #16839583	C₂²	semidirect
31. #16839578	C₂²	semidirect
32. #16839574	C₂²	semidirect
33. #16839569	C₂²	semidirect
35. #16839546	C₂²	semidirect
36. C₄×#11758185	C₂²	semidirect
38. C₆₁×#578	C₂²	semidirect
39. C₆₁×#494	C₂²	semidirect
41. C₆₁×#473	C₂²	semidirect
44. C₆₁×#443	C₂²	semidirect
60. #14519723	D₄	semidirect
61. #14519721	D₄	semidirect
67. #14519720	D₄	semidirect
69. #14519718	D₄	semidirect
210. #3293	D₆₁	semidirect
227. #578	C₂×D₆₁	semidirect
240. #494	C₂×D₆₁	semidirect
243. #473	C₂×D₆₁	semidirect
250. #443	C₂×D₆₁	semidirect
259. C₆₁	#33856	semidirect

Maximal subgroups

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

subgroup	index
#21458963	2
#21457619	2
#21448076	2
#21447951	2
#21447897	2
#21447895	2
#21447788	2
#21447783	2
#21447698	2
#21447656	2
C₆₁×#3293	2
#33856	61