Finite Group Databasebeta

← #29646152

Subgroups — #29646152

Order 15616.

1048 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840350C211yesmaximal, characteristic
2#21454858C211yesmaximal, characteristic, complemented
3#21454846C211yesmaximal, characteristic, complemented
4#21444185C212yesmaximal, complemented
5#21444177C212yesmaximal, complemented
6#21444169C212yesmaximal, complemented
7#21444164C212yesmaximal, complemented
8#21444155C211yesmaximal, characteristic, complemented
9#21444155C211yesmaximal, characteristic, complemented
10#21444146C211yesmaximal, characteristic, complemented
11C61×#1462C211yesmaximal, characteristic, complemented
12#16840350—22no—
13#16840350—22no—
14#16840350—22no—
15#16840350—22no—
16C2×#14519770C411yescharacteristic
17C2×#14519770C2211yescharacteristic
18C2×#14519763C411yescharacteristic
19C2×#14519763C2211yescharacteristic
20C2×#14519759C411yescharacteristic
21C2×#14519759C2211yescharacteristic
22C2×#14519756C411yescharacteristic
23C2×#14519751C411yescharacteristic
24C2×#14519750C411yescharacteristic
25C2×#14519750C2211yescharacteristic
26C2×#14519746C411yescharacteristic
27C2×#14519746C411yescharacteristic
28C2×C4×C22⋊D61C2211yescharacteristic
29C2×C4×C22⋊D61C2211yescharacteristic
30#16839838—22no—
31#16839837—22no—
32#16839836—22no—
33#16839831—22no—
34#16839816C2212yescomplemented
35#16839812C2212yescomplemented
36#16839726C2211yescharacteristic
37#16839726C2211yescharacteristic
38#16839724C2212yescomplemented
39C22⋊C8×D61C2212yescomplemented
40#16839487C2212yescomplemented
41#16839487C2212yescomplemented
42#16839486C2212yes—
43#16839486C2212yes—
44#16839485C2212yescomplemented
45#16839485C2212yescomplemented
46C22×C22⋊C4×C61C2211yescharacteristic
47C61×#407C2211yescharacteristic
48C61×#407C2211yescharacteristic
49C61×#323C2212yes—
50C61×#323C2212yes—
51C22×Dic122C2×C411yescharacteristic
52C22×D244C2×C411yescharacteristic
53C22×C22⋊D61C2×C411yescharacteristic
54C22×C22⋊D61C2×C411yescharacteristic
55C22×C22⋊D61C2×C411yescharacteristic
56C22×C22⋊D61C2×C411yescharacteristic
57C22×C22⋊D61C2×C411yescharacteristic
58C22×C22⋊D61C2×C411yescharacteristic
59C22×C4×D61C2×C411yescharacteristic
60C22×C4×D61C2311yescharacteristic
61C2×#11758194—21no—
62C2×#11758194—21no—
63C2×#11758189—22no—
64C2×C8×D61—22no—
65#14519770—22no—
66#14519770—22no—
67#14519770—22no—
68#14519770—22no—
69#14519763—22no—
70#14519763—22no—
71#14519763—22no—
72#14519763—22no—
73#14519759—22no—
74#14519759—22no—
75#14519759—22no—
76#14519759—22no—
77#14519756—22no—
78#14519756—22no—
79#14519751—22no—
80#14519751—22no—
81#14519750—22no—
82#14519750—22no—
83#14519750—22no—
84#14519750—22no—
85#14519746—22no—
86#14519746—22no—
87#14519746—22no—
88#14519746—22no—
89C4×C22⋊D61—21no—
90C4×C22⋊D61—21no—
91C4×C22⋊D61—21no—
92C4×C22⋊D61—21no—
93C4×C22⋊D61D412yes—
94C4×C22⋊D61D412yes—
95C4×C22⋊D61D412yes—
96C4×C22⋊D61D412yes—
97C2×C4⋊Dic61C2×C411yescharacteristic
98C2×C4⋊Dic61C2×C411yescharacteristic
99C2×#11758196C2×C411yescharacteristic
100C2×#11758196C2×C411yescharacteristic
101C2×#11758196C2×C411yescharacteristic
102C2×#11758196C2311yescharacteristic
103C2×C22⋊Dic61C2×C411yescharacteristic
104C2×C22⋊Dic61C2×C411yescharacteristic
105C2×C22⋊Dic61C2×C411yescharacteristic
106C2×C22⋊Dic61C2×C411yescharacteristic
107C2×C22⋊Dic61C2×C411yescharacteristic
108C2×C22⋊Dic61C2×C411yescharacteristic
109C2×#11758198C2×C411yescharacteristic
110C2×#11758198C2×C411yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×#11758198C2311yescharacteristic
113C2×C4×Dic61C2×C411yescharacteristic
114C2×C4×Dic61C2311yescharacteristic
115#14519706—22no—
116#14519706—22no—
117C22⋊#92418—21no—
118C22⋊#92418—21no—
119C22⋊#92418C2312yes—
120C22⋊#92418C2312yes—
121#14519689—22no—
122#14519689—22no—
123#14519687—22no—
124C8×Dic61—22no—
125C25×C61C2×C411yescharacteristic
126C23×C4×C61C2×C411yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C2×M16×C61—21no—
129C2×M16×C61—21no—
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61C2×C411yescharacteristic
135C2×C22⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61C2311yescharacteristic
138C22⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141C22⋊C8×C61C2312yes—
142C24×C61—21no—
143C24×C61—21no—
144C24×C61—42no—
145C24×C61—81no—
146C24×C61—81no—
147C24×C61C22×C411yescharacteristic
148C24×C61C22×C411yescharacteristic
149C24×C61C22×C411yescharacteristic
150C23×D61C22×C411yescharacteristic
151C23×D61C22×C411yescharacteristic
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—81no—
155C22×C4×C61—81no—
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—81no—
173C2×C22⋊D61—81no—
174C2×C22⋊D61—81no—
175C2×C22⋊D61—81no—
176C2×C22⋊D61C22⋊C412yes—
177C2×C22⋊D61C22⋊C412yes—
178C22×Dic61C22×C411yescharacteristic
179C22×Dic61C22×C411yescharacteristic
180C22×Dic61C22×C411yescharacteristic
181C22×Dic61C22×C411yescharacteristic
182C22×Dic61C22×C411yescharacteristic
183C22×Dic61C22×C411yescharacteristic
184C2×D244—22no—
185C2×D244—81no—
186C2×C4×D61—21no—
187C2×C4×D61—21no—
188C2×C4×D61—81no—
189C2×C4×D61—81no—
190C2×C4×D61C2×D412yes—
191C2×C4×D61C2×D412yes—
192C2×Dic122—22no—
193C2×Dic122—81no—
194M16×C61—81no—
195M16×C61—81no—
196C2×C8×C61—22no—
197C2×C8×C61—22no—
198C22⋊C4×C61—21no—
199C22⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊C4×C61—21no—
205C22⋊C4×C61—21no—
206C22⋊Dic61—21no—
207C22⋊Dic61—21no—
208C22⋊Dic61—22no—
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61C22⋊C412yes—
213C22⋊Dic61C22⋊C412yes—
214#11758198—22no—
215#11758198—21no—
216#11758198—21no—
217#11758198—22no—
218#11758198C22⋊C412yes—
219#11758198C22⋊C412yes—
220C4⋊Dic61—22no—
221C4⋊Dic61—22no—
222#11758196—21no—
223#11758196—21no—
224#11758196—22no—
225#11758196—22no—
226#11758196C22⋊C412yes—
227#11758196C22⋊C412yes—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61C2×D412yes—
231C4×Dic61C2×D412yes—
232#11758194—81no—
233#11758194—81no—
234C2×#92418—22no—
235C2×#92418—22no—
236#11758189—82no—
237C8×D61—82no—
238C23×C61—22no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61—81no—
252C23×C61—81no—
253C23×C61—81no—
254C23×C61—81no—
255C23×C61—88no—
256C23×C61C2×C22⋊C411yescharacteristic
257C23×C61C2×C22⋊C411yescharacteristic
258C23×C61C23×C411yescharacteristic
259C22×D61—22no—
260C22×D61—21no—
261C22×D61—22no—
262C22×D61—41no—
263C22×D61—41no—
264C22×D61—41no—
265C22×D61—41no—
266C22×D61C2×C22⋊C412yes—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—81no—
278C2×C4×C61—81no—
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C22⋊D61—42no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—42no—
287C22⋊D61—82no—
288C22⋊D61—82no—
289C22⋊D61—82no—
290C22⋊D61—82no—
291C2×Dic61—22no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—22no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303D244—82no—
304C4×D61—42no—
305C4×D61—42no—
306C4×D61—81no—
307C4×D61—81no—
308Dic122—82no—
309C8×C61—42no—
310C8×C61—42no—
311#92418—42no—
312#92418—42no—
313#17405—611nomaximal, Sylow
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—44no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—82no—
330C22×C61—82no—
331C22×C61—84no—
332C22×C61—84no—
333C22×C61C22×C22⋊C411yescharacteristic
334C22×C61#56812yes—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—82no—
342C2×D61—82no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—41no—
348C4×C61—41no—
349Dic61—22no—
350Dic61—22no—
351Dic61—22no—
352Dic61—41no—
353Dic61—41no—
354Dic61—41no—
355C2×#538—611no—
356#2975—611no—
357#2973—611no—
358#1473—612no—
359#1471—612no—
360#1469—612no—
361#1468—612no—
362#1465—611no—
363#1465—611no—
364#1462—611no—
365#1462D6111yescharacteristic, complemented
366C2×C61—22no—
367C2×C61—41no—
368C2×C61—41no—
369C2×C61—81no—
370C2×C61—81no—
371C2×C61#287911yescharacteristic
372C2×C61#288311yescharacteristic
373C2×C61#288811yescharacteristic
374D61—42no—
375D61—81no—
376#538—1222no—
377#538—1222no—
378#538—1222no—
379#538—1222no—
380C2×#126—611no—
381C2×#126—611no—
382C2×#124—611no—
383C2×#124—611no—
384C2×#123—611no—
385C2×#123—611no—
386C2×C22⋊Q8—611no—
387C2×#121—611no—
388C2×#121—611no—
389C2×#121—611no—
390C2×#120—611no—
391C2×#120—611no—
392C2×C4×D4—611no—
393C2×C4×D4—611no—
394C22×C22⋊C4C2×D6111yescharacteristic
395#436—1222no—
396#436—1222no—
397#435—1222no—
398#435—1222no—
399#432—612no—
400#431—612no—
401#407—611no—
402#407—611no—
403#407—612no—
404#407C2×D6111yescharacteristic
405#407C2×D6111yescharacteristic
406C2×C22⋊C8—612no—
407#324—612no—
408#324—612no—
409#323—612no—
410#323—612no—
411#323—612no—
412#323—612no—
413#323C2×D6112yes—
414#323C2×D6112yes—
415C61#1740511yescharacteristic, complemented, Sylow
416C25C4×D6111yescharacteristic
417C22×Q8—611no—
418C22×D4—611no—
419C22×D4—611no—
420C22×D4—611no—
421C22×D4—611no—
422C22×D4—611no—
423C22×D4—611no—
424C22×D4—611no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4C4×D6111yescharacteristic
428C23×C4C22×D6111yescharacteristic
429C2×M16—21no—
430C2×M16—21no—
431C2×M16—1222no—
432C2×M16—1221no—
433C2×M16—1221no—
434C22×C8—1222no—
435#126—1222no—
436#126—1222no—
437#126—1222no—
438#126—1222no—
439#124—1222no—
440#124—1222no—
441#124—1222no—
442#124—1222no—
443#123—1222no—
444#123—1222no—
445#123—1222no—
446#123—1222no—
447C22⋊Q8—1222no—
448C22⋊Q8—1222no—
449#121—1222no—
450#121—1222no—
451#121—1222no—
452#121—1222no—
453#121—1222no—
454#121—1222no—
455#120—1222no—
456#120—1222no—
457#120—1222no—
458#120—1222no—
459C4×D4—612no—
460C4×D4—612no—
461C4×D4—612no—
462C4×D4—612no—
463C4×D4—1221no—
464C4×D4—1221no—
465C4×D4—1221no—
466C4×D4—1221no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—611no—
479C2×C22⋊C4—611no—
480C2×C22⋊C4—611no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—611no—
485C2×C22⋊C4—611no—
486C2×C22⋊C4—611no—
487C2×C22⋊C4C4×D6111yescharacteristic
488C2×C22⋊C4C4×D6111yescharacteristic
489C2×C22⋊C4C22×D6111yescharacteristic
490C2×C22⋊C4C22×D6111yescharacteristic
491C2×C42—611no—
492C2×C42—611no—
493C4⋊C8—1222no—
494C4⋊C8—1222no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—612no—
498C22⋊C8—612no—
499C22⋊C8—1222no—
500C22⋊C8—1222no—
501C22⋊C8—1221no—
502C22⋊C8—1221no—
503C22⋊C8C22×D6112yes—
504C22⋊C8C22×D6112yes—
505#97—1222no—
506C4×C8—1222no—
507C24—21no—
508C24—21no—
509C24—42no—
510C24—81no—
511C24—81no—
512C24—611no—
513C24—611no—
514C24C2×C4×D6111yescharacteristic
515C24C2×C4×D6111yescharacteristic
516C24C2×C4×D6111yescharacteristic
517C2×Q8—1222no—
518C2×Q8—4881no—
519C2×D4—612no—
520C2×D4—612no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1221no—
527C2×D4—1221no—
528C2×D4—4881no—
529C2×D4—4881no—
530C2×D4—4881no—
531C2×D4—4881no—
532C2×D4—4881no—
533C2×D4—2442no—
534C2×D4—2442no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4C2×C4×D6111yescharacteristic
552C22×C4C2×C4×D6111yescharacteristic
553C22×C4C2×C4×D6111yescharacteristic
554C22×C4D4×D6111yescharacteristic
555C22×C4D4×D6111yescharacteristic
556C22×C4D4×D6111yescharacteristic
557C22×C4D4×D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559M16—81no—
560M16—81no—
561M16—4882no—
562M16—4881no—
563M16—4881no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—1222no—
567C2×C8—1222no—
568C2×C8—4882no—
569C4⋊C4—612no—
570C4⋊C4—612no—
571C4⋊C4—1222no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—612no—
586C22⋊C4—612no—
587C22⋊C4—612no—
588C22⋊C4—612no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1221no—
596C22⋊C4—1221no—
597C22⋊C4—1221no—
598C22⋊C4—1221no—
599C42—612no—
600C42—612no—
601C42—1221no—
602C42—1221no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—81no—
617C23—81no—
618C23—81no—
619C23—81no—
620C23—88no—
621C23—612no—
622C23—1222no—
623C23—1222no—
624C23—1221no—
625C23—2441no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23C22⋊C4×D6111yescharacteristic
630C23C22⋊C4×D6111yescharacteristic
631C23C22×C4×D6111yescharacteristic
632Q8—4882no—
633D4—4882no—
634D4—4882no—
635D4—4882no—
636D4—4882no—
637D4—4882no—
638D4—2442no—
639D4—2442no—
640D4—2442no—
641D4—2442no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—81no—
653C2×C4—81no—
654C2×C4—612no—
655C2×C4—612no—
656C2×C4—612no—
657C2×C4—1222no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1222no—
662C2×C4—4881no—
663C2×C4—4881no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C22⋊C4×D6111yescharacteristic
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4C2×D4×D6111yescharacteristic
674C8—42no—
675C8—42no—
676C8—2442no—
677C8—2442no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—44no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—82no—
694C22—82no—
695C22—84no—
696C22—84no—
697C22—1222no—
698C22—1222no—
699C22—1222no—
700C22—4882no—
701C22—4882no—
702C22—2441no—
703C22—2441no—
704C22—2441no—
705C22C2×C22⋊C4×D6111yescharacteristic
706C22#1684052812yes—
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—41no—
712C4—41no—
713C4—1222no—
714C4—1222no—
715C4—1222no—
716C4—2441no—
717C4—2441no—
718C4—2441no—
719C2—22no—
720C2—41no—
721C2—41no—
722C2—81no—
723C2—81no—
724C2—4881no—
725C2—2442no—
726C2#2145426211yescharacteristic
727C2#2145427711yescharacteristic
728C2#2145429511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1462C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840350C2
cosocleC22×C4×C61C24
hypercenter#1462D61
hypocenterC61#17405
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1462

Complements

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

NH ≅ G/Ntype
2. #21454858C2semidirect
3. #21454846C2semidirect
4. #21444185C2semidirect
5. #21444177C2semidirect
6. #21444169C2semidirect
7. #21444164C2semidirect
8. #21444155C2semidirect
9. #21444155C2semidirect
10. #21444146C2semidirect
11. C61×#1462C2semidirect
34. #16839816C22semidirect
35. #16839812C22semidirect
38. #16839724C22semidirect
39. C22⋊C8×D61C22semidirect
40. #16839487C22semidirect
41. #16839487C22semidirect
44. #16839485C22semidirect
45. #16839485C22semidirect
365. #1462D61semidirect
415. C61#17405semidirect

Maximal subgroups

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

subgroupindex
C2×#168403502
#214548582
#214548462
#214441852
#214441772
#214441692
#214441642
#214441552
#214441462
C61×#14622
#1740561