Finite Group Databasebeta

← #29646156

Subgroups — #29646156

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×#16840345C211yesmaximal, characteristic
2#21454858C211yesmaximal, characteristic, complemented
3#21454846C211yesmaximal, characteristic, complemented
4#21444187C212yesmaximal, complemented
5#21444177C212yesmaximal, complemented
6#21444169C212yesmaximal, complemented
7#21444166C212yesmaximal, complemented
8#21444157C211yesmaximal, characteristic, complemented
9#21444145C211yesmaximal, characteristic, complemented
10#21444145C211yesmaximal, characteristic, complemented
11C61×#1465C211yesmaximal, characteristic, complemented
12#16840345—22no—
13#16840345—22no—
14#16840345—22no—
15#16840345—22no—
16C2×#14519772C2211yescharacteristic
17C2×#14519771C411yescharacteristic
18C2×#14519765C411yescharacteristic
19C2×#14519763C2211yescharacteristic
20C2×#14519762C2211yescharacteristic
21C2×#14519760C411yescharacteristic
22C2×#14519754C411yescharacteristic
23C2×#14519751C411yescharacteristic
24C2×#14519750C2211yescharacteristic
25C2×#14519749C411yescharacteristic
26C2×#14519747C411yescharacteristic
27C2×#14519745C411yescharacteristic
28C2×C4×C22⋊D61C2211yescharacteristic
29C22×#11758198C2211yescharacteristic
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#16839488C2212yescomplemented
41#16839486C2212yescomplemented
42#16839485C2212yes—
43#16839485C2212yes—
44#16839485C2212yes—
45#16839485C2212yes—
46C2×C4×D4×C61C2211yescharacteristic
47C61×#407C2211yescharacteristic
48C61×#407C2211yescharacteristic
49C61×#324C2212yescomplemented
50C61×#323C2212yescomplemented
51C24×D61C2×C411yescharacteristic
52C22×Dic122C2×C411yescharacteristic
53C22×D244C2×C411yescharacteristic
54C22×D244C2×C411yescharacteristic
55C22×C22⋊D61C2×C411yescharacteristic
56C22×C22⋊D61C2×C411yescharacteristic
57C22×C22⋊D61C2×C411yescharacteristic
58C22×C22⋊D61C2×C411yescharacteristic
59C23×Dic61C2×C411yescharacteristic
60C22×C4×D61C2311yescharacteristic
61C2×#11758194—21no—
62C2×#11758194—21no—
63C2×#11758189—22no—
64C2×C8×D61—22no—
65#14519772—22no—
66#14519772—22no—
67#14519771—22no—
68#14519771—22no—
69#14519765—22no—
70#14519765—22no—
71#14519763—22no—
72#14519763—22no—
73#14519762—22no—
74#14519762—22no—
75#14519760—22no—
76#14519760—22no—
77#14519754—22no—
78#14519754—22no—
79#14519751—22no—
80#14519751—22no—
81#14519750—22no—
82#14519750—22no—
83#14519749—22no—
84#14519749—22no—
85#14519747—22no—
86#14519747—22no—
87#14519745—22no—
88#14519745—22no—
89C4×C22⋊D61D412yes—
90C4×C22⋊D61D412yes—
91C4×C22⋊D61D412yes—
92C4×C22⋊D61D412yes—
93C2×C4⋊Dic61C2×C411yescharacteristic
94C2×#11758196C2×C411yescharacteristic
95C2×#11758196C2×C411yescharacteristic
96C2×#11758196C2×C411yescharacteristic
97C2×#11758196C2×C411yescharacteristic
98C2×C22⋊Dic61C2×C411yescharacteristic
99C2×C22⋊Dic61C2×C411yescharacteristic
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198C2×C411yescharacteristic
105C2×#11758198C2×C411yescharacteristic
106C2×#11758198C2×C411yescharacteristic
107C2×#11758198C2×C411yescharacteristic
108C2×#11758198C2×C411yescharacteristic
109C2×#11758198C2×C411yescharacteristic
110C2×#11758198C2×C411yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×#11758198C2311yescharacteristic
113C2×#11758198C2311yescharacteristic
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—
125C22×D4×C61C2×C411yescharacteristic
126C23×C4×C61C2×C411yescharacteristic
127C23×C4×C61C2311yescharacteristic
128C2×M16×C61—21no—
129C2×M16×C61—21no—
130C4×D4×C61—21no—
131C4×D4×C61—21no—
132C4×D4×C61—21no—
133C4×D4×C61—21no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2311yescharacteristic
137C2×C42×C61C2×C411yescharacteristic
138C22⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141C22⋊C8×C61C2312yes—
142C24×C61C22×C411yescharacteristic
143C24×C61C22×C411yescharacteristic
144C23×D61—21no—
145C23×D61—21no—
146C23×D61—42no—
147C23×D61—81no—
148C23×D61—81no—
149C23×D61C22×C411yescharacteristic
150C23×D61C22×C411yescharacteristic
151C23×D61C22×C411yescharacteristic
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—42no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—81no—
158C22×C4×C61—81no—
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C22×C411yescharacteristic
161C22×C4×C61C22×C411yescharacteristic
162C22×C4×C61C22×C411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2411yescharacteristic
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—81no—
173C2×C22⋊D61—81no—
174C2×C22⋊D61—81no—
175C2×C22⋊D61C22⋊C412yes—
176C2×C22⋊D61C22⋊C412yes—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—81no—
180C22×Dic61C22×C411yescharacteristic
181C22×Dic61C22×C411yescharacteristic
182C22×Dic61C22×C411yescharacteristic
183C22×Dic61C22×C411yescharacteristic
184C22×Dic61C22×C411yescharacteristic
185C2×D244—22no—
186C2×D244—22no—
187C2×D244—81no—
188C2×D244—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—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C42×C61—21no—
205C42×C61—21no—
206C22⋊Dic61—22no—
207C22⋊Dic61C22⋊C412yes—
208C22⋊Dic61C22⋊C412yes—
209#11758198—22no—
210#11758198—21no—
211#11758198—21no—
212#11758198—21no—
213#11758198—21no—
214#11758198—21no—
215#11758198—21no—
216#11758198—21no—
217#11758198—21no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198C22⋊C412yes—
223#11758198C22⋊C412yes—
224C4⋊Dic61—22no—
225#11758196—22no—
226#11758196—22no—
227#11758196—22no—
228#11758196C22⋊C412yes—
229#11758196C22⋊C412yes—
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—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C2×C22⋊C411yescharacteristic
247C23×C61C23×C411yescharacteristic
248C22×D61—22no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—81no—
262C22×D61—81no—
263C22×D61—81no—
264C22×D61—81no—
265C22×D61—88no—
266C22×D61C2×C22⋊C412yes—
267D4×C61—42no—
268D4×C61—42no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—22no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—81no—
282C2×C4×C61—81no—
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C22⋊D61—42no—
288C22⋊D61—42no—
289C22⋊D61—82no—
290C22⋊D61—82no—
291C22⋊D61—82no—
292C2×Dic61—22no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—81no—
300C2×Dic61—81no—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303C2×Dic61C2×C22⋊C412yes—
304D244—82no—
305D244—82no—
306C4×D61—42no—
307C4×D61—42no—
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—82no—
327C22×C61C22×C22⋊C411yescharacteristic
328C22×C61#56812yes—
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—82no—
339C2×D61—84no—
340C2×D61—84no—
341C2×D61—82no—
342C2×D61—82no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—41no—
350Dic61—22no—
351Dic61—22no—
352Dic61—22no—
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#1465D6111yescharacteristic, complemented
364#1462—611no—
365#1462—611no—
366C2×C61—22no—
367C2×C61—41no—
368C2×C61—41no—
369C2×C61—81no—
370C2×C61#287911yescharacteristic
371C2×C61#288311yescharacteristic
372C2×C61#288811yescharacteristic
373D61—42no—
374D61—81no—
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×D4C2×D6111yescharacteristic
394C22×C22⋊C4—611no—
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#324C2×D6112yescomplemented
409#323—612no—
410#323—612no—
411#323—612no—
412#323—612no—
413#323—612no—
414#323C2×D6112yescomplemented
415C61#1740511yescharacteristic, complemented, Sylow
416C25—611no—
417C22×Q8—611no—
418C22×D4—611no—
419C22×D4—611no—
420C22×D4—611no—
421C22×D4—611no—
422C22×D4—611no—
423C22×D4—611no—
424C22×D4C4×D6111yescharacteristic
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—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—612no—
464C4×D4—612no—
465C4×D4—612no—
466C4×D4—612no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—611no—
476C2×C22⋊C4—611no—
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—1221no—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4C4×D6111yescharacteristic
490C2×C22⋊C4C22×D6111yescharacteristic
491C2×C42—611no—
492C2×C42C4×D6111yescharacteristic
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—611no—
508C24—611no—
509C24—611no—
510C24—1221no—
511C24—1221no—
512C24—4881no—
513C24—4881no—
514C24—2442no—
515C24C2×C4×D6111yescharacteristic
516C24C2×C4×D6111yescharacteristic
517C2×Q8—1222no—
518C2×Q8—4881no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—612no—
523C2×D4—612no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1222no—
528C2×D4—1222no—
529C2×D4—4881no—
530C2×D4—4881no—
531C2×D4—4881no—
532C2×D4—4881no—
533C2×D4—4881no—
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—1221no—
547C22×C4—1221no—
548C22×C4—4881no—
549C22×C4—4881no—
550C22×C4C2×C4×D6111yescharacteristic
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—21no—
570C4⋊C4—21no—
571C4⋊C4—612no—
572C4⋊C4—612no—
573C4⋊C4—1222no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1222no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—612no—
582C22⋊C4—612no—
583C22⋊C4—612no—
584C22⋊C4—612no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1221no—
592C22⋊C4—1221no—
593C22⋊C4—1221no—
594C22⋊C4—1221no—
595C22⋊C4—1221no—
596C22⋊C4—1221no—
597C22⋊C4—1221no—
598C22⋊C4—1221no—
599C42—21no—
600C42—21no—
601C42—612no—
602C42—612no—
603C23—22no—
604C23—21no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—612no—
611C23—1222no—
612C23—1222no—
613C23—1222no—
614C23—1221no—
615C23—1221no—
616C23—4881no—
617C23—4881no—
618C23—4881no—
619C23—4881no—
620C23—4888no—
621C23—2441no—
622C23—2441no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23—2442no—
628C23—2442no—
629C23C22⋊C4×D6111yescharacteristic
630C23C22⋊C4×D6111yescharacteristic
631C23C22×C4×D6111yescharacteristic
632Q8—4882no—
633D4—42no—
634D4—42no—
635D4—4882no—
636D4—4882no—
637D4—4882no—
638D4—4882no—
639D4—4882no—
640D4—2442no—
641D4—2442no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—81no—
655C2×C4—81no—
656C2×C4—612no—
657C2×C4—612no—
658C2×C4—612no—
659C2×C4—1222no—
660C2×C4—1221no—
661C2×C4—1221no—
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—82no—
691C22—1222no—
692C22—1222no—
693C22—1222no—
694C22—4882no—
695C22—4882no—
696C22—4882no—
697C22—4884no—
698C22—4884no—
699C22—2441no—
700C22—2441no—
701C22—2441no—
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—41no—
714C4—1222no—
715C4—1222no—
716C4—1222no—
717C4—2441no—
718C4—2441no—
719C2—22no—
720C2—41no—
721C2—41no—
722C2—81no—
723C2—4881no—
724C2—4881no—
725C2—2442no—
726C2#2145426211yescharacteristic
727C2#2145427711yescharacteristic
728C2#2145429611yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1465C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840345C2
cosocleC22×C4×C61C24
hypercenter#1465D61
hypocenterC61#17405
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1465

Complements

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

NH ≅ G/Ntype
2. #21454858C2semidirect
3. #21454846C2semidirect
4. #21444187C2semidirect
5. #21444177C2semidirect
6. #21444169C2semidirect
7. #21444166C2semidirect
8. #21444157C2semidirect
9. #21444145C2semidirect
10. #21444145C2semidirect
11. C61×#1465C2semidirect
34. #16839816C22semidirect
35. #16839812C22semidirect
38. #16839724C22semidirect
39. C22⋊C8×D61C22semidirect
40. #16839488C22semidirect
41. #16839486C22semidirect
49. C61×#324C22semidirect
50. C61×#323C22semidirect
363. #1465D61semidirect
408. #324C2×D61semidirect
414. #323C2×D61semidirect
415. C61#17405semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
#214548582
#214548462
#214441872
#214441772
#214441692
#214441662
#214441572
#214441452
C61×#14652
#1740561