Finite Group Databasebeta

← #29740594

Subgroups — #29740594

Order 15616.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21449253C211yesmaximal, characteristic
2#21448715C211yesmaximal, characteristic, complemented
3#21447380C211yesmaximal, characteristic, complemented
4#21447243C211yesmaximal, characteristic, complemented
5#21447226C211yesmaximal, characteristic, complemented
6#21447003C211yesmaximal, characteristic, complemented
7#21446438C211yesmaximal, characteristic, complemented
8#21446392C211yesmaximal, characteristic, complemented
9#21446245C211yesmaximal, characteristic, complemented
10#21446135C211yesmaximal, characteristic, complemented
11#21446134C211yesmaximal, characteristic, complemented
12#21446109C211yesmaximal, characteristic, complemented
13#21445904C211yesmaximal, characteristic, complemented
14C2×#16839524C211yesmaximal, characteristic, complemented
15C61×#1852C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17C2×#14519752C2211yescharacteristic
18C2×#14519751—21no—
19C2×#14519751C2211yescharacteristic
20C2×C4×C22⋊D61C2211yescharacteristic
21C2×#14519737—21no—
22C22×C4⋊Dic61C2211yescharacteristic
23C2×C4⋊C4×D61C2211yescharacteristic
24C2×#14519699C2211yescharacteristic
25C2×#14519699C2211yescharacteristic
26C2×#14519697C2211yescharacteristic
27C2×#14519697C2211yescharacteristic
28C2×#14519689C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30#16839684—21no—
31#16839679—21no—
32#16839663C2211yescharacteristic
33#16839661C2211yescharacteristic
34#16839659—21no—
35#16839641—21no—
36#16839636—21no—
37#16839634—21no—
38#16839631C2211yescharacteristic
39#16839619C2211yescharacteristic
40#16839619C2211yescharacteristic
41C4⋊C4×Dic61C2211yescharacteristic
42#16839525C2211yescharacteristic
43#16839525C2211yescharacteristic
44#16839524C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C22×C4⋊C4×C61C2211yescharacteristic
53C2×#107×C61C2211yescharacteristic
54C2×#107×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C61×#380C2211yescharacteristic
57C61×#340C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C22×D244—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C22×C22⋊D61D411yescharacteristic
63C23×Dic61—21no—
64C22×C4×D61—21no—
65C22×C4×D61C2311yescharacteristic
66C22×#92418—22no—
67C22×#92418—41no—
68C22×#92418—41no—
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519752—22no—
72#14519752—41no—
73#14519751—22no—
74#14519751—22no—
75#14519751—44no—
76C4×C22⋊D61—22no—
77C4×C22⋊D61—22no—
78#14519737—44no—
79C2×C4⋊Dic61—22no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—41no—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×#11758196—21no—
89C2×#11758196D411yescharacteristic
90C4⋊C4×D61—22no—
91C4⋊C4×D61—41no—
92C2×C22⋊Dic61D411yescharacteristic
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198D411yescharacteristic
100C2×C4×Dic61—21no—
101C2×C4×Dic61C2311yescharacteristic
102#14519699—22no—
103#14519699—41no—
104#14519697—41no—
105#14519697—41no—
106#14519689—41no—
107#14519689—41no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112C23×C4×C61—21no—
113C23×C4×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C2×C4⋊C4×C61—22no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—41no—
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124#107×C61—22no—
125#107×C61—41no—
126C22⋊C8×C61—22no—
127#95×C61—21no—
128C24×C61C2×D411yescharacteristic
129C23×D61—21no—
130C23×D61C2×D411yescharacteristic
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—42no—
140C22×C4×C61—42no—
141C22×C4×C61—81no—
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61#4112yes—
144C22×C4×C61#4112yes—
145C22×C4×C61C2411yescharacteristic
146C2×C22⋊D61—22no—
147C2×C22⋊D61—22no—
148C2×C22⋊D61—42no—
149C2×C22⋊D61—42no—
150C2×C22⋊D61—42no—
151C2×C22⋊D61D814yes—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—42no—
156C22×Dic61—42no—
157C22×Dic61—81no—
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C22×Dic61C2×D411yescharacteristic
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—42no—
168C2×D244—42no—
169C2×D244—81no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—81no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61#4112yes—
194C22⋊C4×C61—42no—
195C22⋊Dic61—22no—
196#11758198—22no—
197#11758198—42no—
198#11758198—42no—
199#11758198—42no—
200#11758198—42no—
201#11758198—42no—
202#11758198—81no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—42no—
209C4⋊Dic61—42no—
210C4⋊Dic61#4112yes—
211#11758196—22no—
212#11758196—42no—
213#11758196—42no—
214#11758196—81no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61—42no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—44no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61#12312yes—
230C23×C61C2×D812yes—
231C23×C61#13712yes—
232C23×C61C22×D411yescharacteristic
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61C2×D812yes—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—84no—
266C2×C4×C61#12312yes—
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C22⋊D61—28no—
274C22⋊D61—84no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—84no—
293C2×Dic61C2×D812yes—
294D244—41no—
295D244—41no—
296D244—41no—
297D244—41no—
298D244—84no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—84no—
304C8×C61—41no—
305C8×C61—41no—
306#92418—41no—
307#92418—41no—
308#26198—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61#48014yes—
316C22×C61C2×#12311yescharacteristic
317C22×C61#54611yescharacteristic
318C22×C61#54611yescharacteristic
319C22×C61C22×D811yescharacteristic
320C22×C61C2×#13711yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57711yescharacteristic
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—22no—
338C4×C61—42no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61#52911yescharacteristic
343C4×C61#53811yescharacteristic
344C4×C61#55311yescharacteristic
345C4×C61#55311yescharacteristic
346Dic61—22no—
347Dic61—41no—
348Dic61—41no—
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352#2416—611no—
353D4×C4⋊C4—611no—
354#2099—611no—
355#2075—611no—
356#2071—611no—
357#2033—611no—
358#1925—611no—
359#1918—611no—
360#1893—611no—
361#1874—611no—
362#1874—611no—
363#1869—611no—
364#1852D6111yescharacteristic, complemented
365#1823—611no—
366C2×#340—611no—
367C2×C61—24no—
368C2×C61#244411yescharacteristic
369C2×C61C2×#48011yescharacteristic
370C2×C61#309911yescharacteristic
371C2×C61#329411yescharacteristic
372C2×C61#329411yescharacteristic
373C2×C61#331611yescharacteristic
374C2×C61#332011yescharacteristic
375D61—42no—
376D61—161no—
377C23×C8—611no—
378C2×#121—611no—
379C2×#121—611no—
380C2×#121—1221no—
381C2×C4×D4—611no—
382C2×C4×D4—1221no—
383C22×C4⋊C4—611no—
384C22×C4⋊C4—611no—
385C22×C4⋊C4C2×D6111yescharacteristic
386C2×#107C2×D6111yescharacteristic
387C2×#107C2×D6111yescharacteristic
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8C2×D6111yescharacteristic
395#396—1221no—
396#394—1221no—
397#390—611no—
398#389—611no—
399#389—1221no—
400#386—1221no—
401#385—1221no—
402#385—1221no—
403#384—611no—
404#380—611no—
405#380—611no—
406#380C2×D6111yescharacteristic
407C4×C4⋊C4—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340C2×D6111yescharacteristic
417#340C2×D6111yescharacteristic
418#336—611no—
419#336—611no—
420C61#2619811yescharacteristic, complemented, Sylow
421C22×D4—611no—
422C22×D4—611no—
423C22×D4—1221no—
424C22×D4—1221no—
425C23×C4—21no—
426C23×C4—611no—
427C23×C4—1221no—
428C23×C4—1221no—
429C23×C4C22×D6111yescharacteristic
430C22×C8—611no—
431C22×C8—611no—
432C22×C8—1222no—
433C22×C8—2441no—
434C22×C8—2441no—
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437#121—1222no—
438#121—1222no—
439#121—1222no—
440#121—2441no—
441#121—2444no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—2444no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—41no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—2441no—
460C2×C4⋊C4—2441no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—611no—
475C2×C42—1221no—
476#107—22no—
477#107—41no—
478#102—1222no—
479#102—2441no—
480#102—2441no—
481#102—2441no—
482C22⋊C8—22no—
483C22⋊C8—2441no—
484C22⋊C8—2441no—
485#95—21no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—611no—
491C24—1221no—
492C24D4×D6111yescharacteristic
493C2×D4—614no—
494C2×D4—1222no—
495C2×D4—1222no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—4881no—
503C2×D4—2442no—
504C2×D4—2442no—
505C2×D4—2442no—
506C2×D4—2442no—
507C2×D4—2442no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—4881no—
532C22×C4—4881no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4#1175822212yes—
538C22×C4D4×D6111yescharacteristic
539C22×C4#1175822612yes—
540C22×C4C23×D6111yescharacteristic
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—2444no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—612no—
563C4⋊C4—1221no—
564C4⋊C4—1222no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—4881no—
570C4⋊C4—2442no—
571C4⋊C4—2442no—
572C4⋊C4—2442no—
573C4⋊C4—2442no—
574C4⋊C4#1175822412yes—
575C22⋊C4—42no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—4881no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C42—1221no—
585C42—1221no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—612no—
592C23—1221no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23#1451976212yes—
606C23D8×D6112yes—
607C23#1451980912yes—
608C23C2×D4×D6111yescharacteristic
609D4—1228no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614D4—2441no—
615D4—2441no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—612no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—4884no—
646C2×C4—4884no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4#1451976212yes—
660C2×C4#41×D6111yescharacteristic
661C2×C4C2×#1175822411yescharacteristic
662C2×C4C2×#1175822211yescharacteristic
663C2×C4C2×#1175822611yescharacteristic
664C2×C4#1451982211yescharacteristic
665C2×C4#1451982311yescharacteristic
666C8—41no—
667C8—41no—
668C8—2441no—
669C8—2441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—1222no—
677C22—1222no—
678C22—1222no—
679C22—4881no—
680C22—4881no—
681C22—4881no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22—2441no—
690C22#1684007714yes—
691C22C2×#1451976211yescharacteristic
692C22#1684039911yescharacteristic
693C22#1684040411yescharacteristic
694C22C2×D8×D6111yescharacteristic
695C22C2×#1451980911yescharacteristic
696C22#1684057111yescharacteristic
697C22#1684057211yescharacteristic
698C4—22no—
699C4—42no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—1222no—
704C4—4881no—
705C4—4881no—
706C4—2441no—
707C4—2441no—
708C4—2442no—
709C4#1684029811yescharacteristic
710C4#1684035211yescharacteristic
711C4#1684045811yescharacteristic
712C4#1684046111yescharacteristic
713C2—24no—
714C2—9761no—
715C2—2442no—
716C2#2144957311yescharacteristic
717C2C2×#1684007711yescharacteristic
718C2#2145581211yescharacteristic
719C2#2145762511yescharacteristic
720C2#2145763011yescharacteristic
721C2#2145793411yescharacteristic
722C2#2145798811yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1852C2
socleC23×C61C22×D4
prime radical#21449253C2
hypercenter#1852D61
hypocenterC61#26198
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. #21448715C2semidirect
3. #21447380C2semidirect
4. #21447243C2semidirect
5. #21447226C2semidirect
6. #21447003C2semidirect
7. #21446438C2semidirect
8. #21446392C2semidirect
9. #21446245C2semidirect
10. #21446135C2semidirect
11. #21446134C2semidirect
12. #21446109C2semidirect
13. #21445904C2semidirect
14. C2×#16839524C2semidirect
15. C61×#1852C2semidirect
364. #1852D61semidirect
420. C61#26198semidirect

Maximal subgroups

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

subgroupindex
#214492532
#214487152
#214473802
#214472432
#214472262
#214470032
#214464382
#214463922
#214462452
#214461352
#214461342
#214461092
#214459042
C2×#168395242
C61×#18522
#2619861