Finite Group Databasebeta

← #29779605

Subgroups — #29779605

Order 15616.

962 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21451641C211yesmaximal, characteristic, complemented
2#21448398C211yesmaximal, characteristic
3#21447234C211yesmaximal, characteristic, complemented
4#21447232C211yesmaximal, characteristic, complemented
5#21446952C211yesmaximal, characteristic, complemented
6#21446514C211yesmaximal, characteristic, complemented
7#21446513C211yesmaximal, characteristic, complemented
8#21446500C211yesmaximal, characteristic, complemented
9#21446499C211yesmaximal, characteristic, complemented
10#21445913C211yesmaximal, characteristic, complemented
11#21445912C211yesmaximal, characteristic, complemented
12#21445748C211yesmaximal, characteristic
13#21445748C211yesmaximal, characteristic
14#21445584C211yesmaximal, characteristic, complemented
15C61×#2023C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C2×#14519735C2211yescharacteristic
18C2×#14519734C2211yescharacteristic
19C2×#14519699C2211yescharacteristic
20C2×#14519699C2211yescharacteristic
21C2×#14519698C2211yescharacteristic
22C2×#14519698C2211yescharacteristic
23C2×#14519697C2211yescharacteristic
24C2×#14519697C2211yescharacteristic
25C2×#14519689C2211yescharacteristic
26C2×#14519689C2211yescharacteristic
27C2×#14519687C2211yescharacteristic, complemented
28C2×C8×Dic61C2211yescharacteristic, complemented
29#16839700—21no—
30#16839697—21no—
31#16839681—21no—
32#16839673—21no—
33#16839665C2211yescharacteristic
34#16839664C2211yescharacteristic
35#16839663C2211yescharacteristic
36#16839662—21no—
37#16839662—21no—
38#16839658C2211yescharacteristic, complemented
39#16839658C2211yescharacteristic, complemented
40#16839628C2211yescharacteristic, complemented
41#16839619C2211yescharacteristic
42#16839619C2211yescharacteristic
43#16839617—21no—
44#16839617—21no—
45#16839525C2211yescharacteristic, complemented
46#16839525C2211yescharacteristic, complemented
47#16839524C2211yescharacteristic, complemented
48#16839524C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839524C2211yescharacteristic, complemented
51#16839517C2211yescharacteristic, complemented
52C2×C4⋊Q8×C61C2211yescharacteristic, complemented
53C2×#102×C61C2211yescharacteristic
54C2×#102×C61C2211yescharacteristic
55C61×#390C2211yescharacteristic
56C61×#340C2211yescharacteristic, complemented
57C61×#340C2211yescharacteristic, complemented
58C61×#336C2211yescharacteristic, complemented
59C24×D61—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C2×D4×D61—22no—
63C2×D4×D61—22no—
64C2×D4×D61—22no—
65C2×D4×D61—22no—
66C2×D4×D61—41no—
67C2×D4×D61—41no—
68C22×C4×D61C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519735—22no—
72#14519735—22no—
73#14519734—41no—
74#14519734—41no—
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×#11758196—21no—
79C2×#11758196—21no—
80C2×#11758196D411yescharacteristic
81C2×#11758196D411yescharacteristic
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×#11758198—21no—
85C2×#11758198—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198D411yescharacteristic
92C2×#11758198D411yescharacteristic
93C2×C4×Dic61—21no—
94C2×C4×Dic61C2311yescharacteristic
95#14519699—22no—
96#14519699—22no—
97#14519698—22no—
98#14519698—22no—
99#14519697—41no—
100#14519697—41no—
101#14519689—22no—
102#14519689—22no—
103#14519687—41no—
104C8×Dic61—41no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111C22×Q8×C61—21no—
112C22×D4×C61C2311yescharacteristic
113C22×C8×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115C4⋊Q8×C61—41no—
116C4⋊Q8×C61—41no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C42×C61C2311yescharacteristic
124#102×C61—41no—
125#102×C61—41no—
126C24×C61—21no—
127C23×D61—21no—
128C23×D61—24no—
129C23×D61—42no—
130C23×D61—42no—
131C23×D61—81no—
132C23×D61—81no—
133C23×D61—81no—
134C23×D61—81no—
135C23×D61C2×D411yescharacteristic
136C2×Q8×C61—42no—
137C2×Q8×C61—81no—
138C2×Q8×C61—81no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61#4112yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—24no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160D4×D61—44no—
161D4×D61—44no—
162D4×D61—44no—
163D4×D61—44no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244#4112yes—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61#4112yes—
175C2×C4×D61#4112yes—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—42no—
189C22⋊C4×C61—81no—
190C22⋊C4×C61—81no—
191C42×C61—21no—
192C42×C61—21no—
193C22⋊Dic61—81no—
194C22⋊Dic61—81no—
195#11758198—41no—
196#11758198—41no—
197#11758198—42no—
198#11758198—81no—
199#11758198—81no—
200#11758198—81no—
201#11758198—81no—
202#11758198—81no—
203#11758198—81no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210#11758196—41no—
211#11758196—41no—
212#11758196—81no—
213#11758196—81no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—42no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C23×C61—22no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61—41no—
227C23×C61—41no—
228C23×C61—41no—
229C23×C61—41no—
230C23×C61C22×D411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—22no—
238C22×D61—48no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—84no—
246C22×D61—84no—
247C22×D61—84no—
248C22×D61—84no—
249C22×D61—84no—
250C22×D61—84no—
251C22×D61#12412yes—
252Q8×C61—84no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—41no—
256D4×C61—41no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C2×C4×C61H(5,𝔽2)11yescharacteristic
278C22⋊D61—48no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61#12412yes—
297D244—22no—
298D244—22no—
299D244—41no—
300D244—41no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C8×C61—41no—
306C8×C61—41no—
307#92418—41no—
308#92418—41no—
309#29116—611nomaximal, Sylow
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61#52511yescharacteristic
318C22×C61C2×#12411yescharacteristic
319C22×C61#53411yescharacteristic
320C22×C61#57611yescharacteristic
321C22×C61#57611yescharacteristic
322C22×C61#57711yescharacteristic
323C22×C61#57711yescharacteristic
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—816no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61—81no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61#55111yescharacteristic
345C4×C61#55111yescharacteristic
346C4×C61#55111yescharacteristic
347C4×C61#55111yescharacteristic
348Dic61—22no—
349Dic61—41no—
350Dic61—41no—
351Dic61—81no—
352Dic61—81no—
353Dic61—81no—
354#2628—611no—
355#2309—611no—
356#2073—611no—
357#2073—611no—
358#2023—611no—
359#2023D6111yescharacteristic, complemented
360#1936—611no—
361#1936—611no—
362#1934—611no—
363#1934—611no—
364#1825—611no—
365#1825—611no—
366#1786—611no—
367#1786—611no—
368#1750—611no—
369C2×C61—82no—
370C2×C61#256111yescharacteristic
371C2×C61#311811yescharacteristic
372C2×C61#311811yescharacteristic
373C2×C61#313611yescharacteristic
374C2×C61#313611yescharacteristic
375C2×C61#319911yescharacteristic
376C2×C61#320011yescharacteristic
377D61—42no—
378D61—82no—
379C23×D4—611no—
380C2×C4⋊Q8C2×D6111yescharacteristic, complemented
381C2×#117—611no—
382C2×#117—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102C2×D6111yescharacteristic
390C2×#102C2×D6111yescharacteristic
391C2×C22⋊C8—611no—
392C2×C22⋊C8—611no—
393C2×#97—611no—
394C2×C4×C8—611no—
395#400—1221no—
396#399—1221no—
397#395—1221no—
398#393—1221no—
399#390—611no—
400#390—611no—
401#390—611no—
402#390—1221no—
403#390—1221no—
404#390C2×D6111yescharacteristic
405#389—611no—
406#389—611no—
407#382—611no—
408#380—611no—
409#380—611no—
410#379—1221no—
411#379—1221no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340C2×D6111yescharacteristic, complemented
419#340C2×D6111yescharacteristic, complemented
420#336—611no—
421#336C2×D6111yescharacteristic, complemented
422C61#2911611yescharacteristic, complemented, Sylow
423C25—1221no—
424C22×Q8—21no—
425C22×D4—611no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1221no—
429C22×D4—1222no—
430C22×D4—1222no—
431C22×D4—2441no—
432C22×D4—2441no—
433C22×D4C22×D6111yescharacteristic
434C23×C4—611no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8C22×D6111yescharacteristic
438C22×C8C22×D6111yescharacteristic
439C4⋊Q8—41no—
440C4⋊Q8—41no—
441#117—1222no—
442#117—1222no—
443#117—2441no—
444#117—2441no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4C22×D6111yescharacteristic
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C4⋊C4C22×D6111yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—611no—
459C2×C22⋊C4—611no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C42—611no—
470C2×C42—1221no—
471C2×C42C22×D6111yescharacteristic
472#102—41no—
473#102—41no—
474#102—1222no—
475#102—1222no—
476#102—1222no—
477#102—1222no—
478#102—2441no—
479#102—2441no—
480C22⋊C8—1222no—
481C22⋊C8—1222no—
482#97—2441no—
483C4×C8—2441no—
484#95—1221no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—21no—
491C24—611no—
492C24—1224no—
493C24—1221no—
494C24—4881no—
495C24—4881no—
496C24—4881no—
497C24—4881no—
498C24—2442no—
499C24—2442no—
500C2×Q8—42no—
501C2×Q8—81no—
502C2×Q8—81no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—612no—
509C2×D4—1224no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—2442no—
516C2×D4—2444no—
517C2×D4—2444no—
518C2×D4—2444no—
519C2×D4—2444no—
520C2×D4—2442no—
521C2×D4#1175822612yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4D4×D6111yescharacteristic
538C22×C4D4×D6111yescharacteristic
539C22×C4C23×D6111yescharacteristic
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—4881no—
566C4⋊C4—4881no—
567C4⋊C4—2441no—
568C4⋊C4—2441no—
569C22⋊C4—81no—
570C22⋊C4—81no—
571C22⋊C4—4881no—
572C22⋊C4—4881no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—4881no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4—4881no—
579C22⋊C4—2441no—
580C22⋊C4—2441no—
581C22⋊C4—2442no—
582C42—21no—
583C42—21no—
584C42—1221no—
585C42—1221no—
586C42—2442no—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—612no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23—1222no—
602C23—4884no—
603C23—4884no—
604C23—4884no—
605C23—4884no—
606C23—4884no—
607C23—4884no—
608C23—2448no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23C2×D4×D6111yescharacteristic
616Q8—84no—
617D4—22no—
618D4—22no—
619D4—41no—
620D4—41no—
621D4—1222no—
622D4—1222no—
623D4—2448no—
624D4—2441no—
625D4—2441no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4#41×D6111yescharacteristic
664C2×C4#41×D6111yescharacteristic
665C2×C4#41×D6111yescharacteristic
666C2×C4C2×#1175822611yescharacteristic
667C2×C4#1451982211yescharacteristic
668C2×C4#1451982211yescharacteristic
669C8—41no—
670C8—41no—
671C8—2441no—
672C8—2441no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—1222no—
681C22—1222no—
682C22—1222no—
683C22—48816no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—2442no—
689C22—2442no—
690C22—2442no—
691C22—2441no—
692C22—2441no—
693C22—2441no—
694C22—2441no—
695C22#1684027511yescharacteristic
696C22#124×D6111yescharacteristic
697C22#1684032211yescharacteristic
698C22#1684056311yescharacteristic
699C22#1684056611yescharacteristic
700C22#1684056811yescharacteristic
701C22#1684057111yescharacteristic
702C4—41no—
703C4—41no—
704C4—81no—
705C4—81no—
706C4—81no—
707C4—1222no—
708C4—4881no—
709C4—4881no—
710C4—4881no—
711C4—2441no—
712C4—2441no—
713C4#1684043911yescharacteristic
714C4#1684043911yescharacteristic
715C4#1684044211yescharacteristic
716C4#1684044211yescharacteristic
717C2—82no—
718C2—4882no—
719C2—2442no—
720C2#2145097311yescharacteristic
721C2#2145600811yescharacteristic
722C2#2145601011yescharacteristic
723C2#2145616811yescharacteristic
724C2#2145617011yescharacteristic
725C2#2145668211yescharacteristic
726C2#2145668911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2023C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
hypercenter#2023D61
hypocenterC61#29116
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2023

Complements

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

NH ≅ G/Ntype
1. #21451641C2semidirect
3. #21447234C2semidirect
4. #21447232C2semidirect
5. #21446952C2semidirect
6. #21446514C2semidirect
7. #21446513C2semidirect
8. #21446500C2semidirect
9. #21446499C2semidirect
10. #21445913C2semidirect
11. #21445912C2semidirect
14. #21445584C2semidirect
15. C61×#2023C2semidirect
27. C2×#14519687C22semidirect
28. C2×C8×Dic61C22semidirect
38. #16839658C22semidirect
39. #16839658C22semidirect
40. #16839628C22semidirect
45. #16839525C22semidirect
46. #16839525C22semidirect
47. #16839524C22semidirect
48. #16839524C22semidirect
49. #16839524C22semidirect
50. #16839524C22semidirect
51. #16839517C22semidirect
52. C2×C4⋊Q8×C61C22semidirect
56. C61×#340C22semidirect
57. C61×#340C22semidirect
58. C61×#336C22semidirect
359. #2023D61semidirect
380. C2×C4⋊Q8C2×D61semidirect
418. #340C2×D61semidirect
419. #340C2×D61semidirect
421. #336C2×D61semidirect
422. C61#29116semidirect

Maximal subgroups

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

subgroupindex
#214516412
#214483982
#214472342
#214472322
#214469522
#214465142
#214465132
#214465002
#214464992
#214459132
#214459122
#214457482
#214455842
C61×#20232
#2911661