Finite Group Databasebeta

← #29887013

Subgroups — #29887013

Order 15616.

2450 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840388C211yesmaximal, characteristic, complemented
2C22×#14519758C211yesmaximal, characteristic
3#21454104C212yesmaximal, complemented
4#21452246C214yesmaximal, complemented
5#21452244C214yesmaximal, complemented
6#21452162C214yesmaximal, complemented
7#21452156C214yesmaximal, complemented
8#21451638C212yesmaximal, complemented
9#21450974C212yesmaximal, complemented
10#21450295C212yesmaximal, complemented
11#21450100C211yesmaximal, characteristic, complemented
12#21450097C211yesmaximal, characteristic, complemented
13#21449142C211yesmaximal, characteristic
14#21448415C211yesmaximal, characteristic, complemented
15C61×#2405C211yesmaximal, characteristic
16C24×Dic61C2211yescharacteristic
17#16840388—28no—
18C2×#14519758—28no—
19C2×#14519758C2214yes—
20C2×#14519758C2214yes—
21C2×#14519758C2212yes—
22C2×#14519756C2212yescomplemented
23C2×#14519756C2212yescomplemented
24C2×#14519754C2212yes—
25C2×#14519754C2212yes—
26C2×#14519754C2212yescomplemented
27C2×#14519754C2212yescomplemented
28C2×#14519754C2214yescomplemented
29C22×#11758196C2211yescharacteristic
30C22×#11758196C2211yescharacteristic
31C22×C22⋊Dic61C2211yescharacteristic
32C22×C22⋊Dic61C2211yescharacteristic
33C22×C22⋊Dic61C2211yescharacteristic
34C22×C22⋊Dic61C2211yescharacteristic
35#16839703C2214yescomplemented
36#16839696C2214yescomplemented
37#16839696C2214yescomplemented
38#16839695C2214yescomplemented
39#16839693C2214yescomplemented
40#16839690C2214yescomplemented
41#16839690C2214yescomplemented
42#16839687C2214yescomplemented
43#16839682C2214yescomplemented
44#16839676C2214yes—
45#16839674C2214yescomplemented
46#16839666C2214yescomplemented
47#16839656C2214yescomplemented
48#16839655C2214yescomplemented
49#16839650C2214yescomplemented
50#16839650C2214yescomplemented
51#16839642C2212yes—
52#16839637C2212yes—
53#16839637C2214yescomplemented
54#16839637C2212yescomplemented
55#16839635C2212yes—
56#16839635C2212yescomplemented
57#16839634C2212yes—
58#16839634C2214yescomplemented
59#16839631C2214yescomplemented
60#16839625C2212yescomplemented
61#16839623C2212yes—
62#16839623C2212yes—
63#16839623C2212yescomplemented
64#16839620C2212yes—
65#16839620C2214yescomplemented
66#16839618C2212yes—
67#16839618C2211yescharacteristic
68C22⋊C4×Dic61C2212yes—
69C23×D4×C61C2211yescharacteristic
70C2×#123×C61C2212yes—
71C22×C22⋊C4×C61C2211yescharacteristic
72C61×#394C2214yes—
73C61×#386C2212yes—
74C61×#385C2212yes—
75C61×#379C2212yes—
76C61×#379C2211yescharacteristic
77C22×Dic122C2312yes—
78C22×Dic122C2312yes—
79C23×Dic61—24no—
80C23×Dic61—44no—
81C23×Dic61C2311yescharacteristic
82C23×Dic61C2314yes—
83C23×Dic61C2311yescharacteristic
84C23×Dic61C2311yescharacteristic
85C23×Dic61C2311yescharacteristic
86C23×Dic61C2311yescharacteristic
87C23×Dic61C2311yescharacteristic
88#14519758—216no—
89#14519758—216no—
90#14519758—44no—
91#14519756—28no—
92#14519756—28no—
93#14519754—28no—
94#14519754—28no—
95#14519754—28no—
96#14519754—28no—
97#14519754—48no—
98C2×C4⋊Dic61C2312yes—
99C2×C4⋊Dic61C2312yes—
100C2×C4⋊Dic61C2314yes—
101C2×#11758196—24no—
102C2×#11758196—24no—
103C2×#11758196C2314yes—
104C2×#11758196C2312yes—
105C2×#11758196C2312yes—
106C2×#11758196C2314yes—
107C2×#11758196C2312yes—
108C2×#11758196C2312yes—
109C2×#11758196C2314yes—
110C2×#11758196C2314yes—
111C2×#11758196C2314yes—
112C2×C22⋊Dic61—24no—
113C2×C22⋊Dic61—24no—
114C2×C22⋊Dic61—24no—
115C2×C22⋊Dic61D418yes—
116C2×C22⋊Dic61C2312yes—
117C2×C22⋊Dic61C2312yes—
118C2×C22⋊Dic61C2312yes—
119C2×C22⋊Dic61C2314yes—
120C2×C22⋊Dic61C2314yes—
121C2×C22⋊Dic61C2312yes—
122C2×C22⋊Dic61C2312yes—
123C2×C22⋊Dic61C2312yes—
124C2×C22⋊Dic61C2314yes—
125C2×C22⋊Dic61C2312yes—
126C2×C22⋊Dic61C2312yes—
127C2×C22⋊Dic61C2312yes—
128C2×C4×Dic61C2314yes—
129#14519684C2314yes—
130#14519684C2314yes—
131#14519684C2314yes—
132#14519684C2314yes—
133#14519684C2314yes—
134#14519684C2314yes—
135#14519684C2314yes—
136#14519684C2314yes—
137#14519684C2314yes—
138C25×C61C2311yescharacteristic
139C25×C61C2311yescharacteristic
140C22×D4×C61—24no—
141C22×D4×C61—44no—
142C22×D4×C61C2312yes—
143C22×D4×C61C2312yes—
144C23×C4×C61C2311yescharacteristic
145C23×C4×C61C2311yescharacteristic
146C23×C4×C61C2311yescharacteristic
147#123×C61—44no—
148C2×C4⋊C4×C61C2314yes—
149C2×C22⋊C4×C61—24no—
150C2×C22⋊C4×C61C2312yes—
151C2×C22⋊C4×C61C2314yes—
152C2×C22⋊C4×C61C2312yes—
153C2×C22⋊C4×C61C2312yes—
154C2×C22⋊C4×C61C2312yes—
155C2×C22⋊C4×C61C2314yes—
156C2×C22⋊C4×C61C2312yes—
157#95×C61C2314yes—
158C24×C61—22no—
159C24×C61—24no—
160C24×C61—24no—
161C24×C61—24no—
162C24×C61—42no—
163C24×C61—42no—
164C24×C61—42no—
165C24×C61C2×D414yes—
166C24×C61C2411yescharacteristic
167C24×C61C2411yescharacteristic
168C24×C61C2412yes—
169C24×C61C2411yescharacteristic
170C2×D4×C61—24no—
171C2×D4×C61—24no—
172C2×D4×C61—24no—
173C2×D4×C61—24no—
174C2×D4×C61—42no—
175C2×D4×C61—42no—
176C2×D4×C61—416no—
177C22×C4×C61—22no—
178C22×C4×C61—22no—
179C22×C4×C61—22no—
180C22×C4×C61—42no—
181C22×C4×C61—42no—
182C22×C4×C61—42no—
183C22×C4×C61C2412yes—
184C22×C4×C61C2412yes—
185C22×C4×C61C2412yes—
186C22×C4×C61C2414yes—
187C22×Dic61—22no—
188C22×Dic61—22no—
189C22×Dic61—28no—
190C22×Dic61—24no—
191C22×Dic61—22no—
192C22×Dic61—22no—
193C22×Dic61—28no—
194C22×Dic61—42no—
195C22×Dic61—44no—
196C22×Dic61—42no—
197C22×Dic61—42no—
198C22×Dic61—42no—
199C22×Dic61—42no—
200C22×Dic61—416no—
201C22×Dic61C2×D414yes—
202C22×Dic61C2×D414yes—
203C22×Dic61C2412yes—
204C22×Dic61C2412yes—
205C22×Dic61C2412yes—
206C22×Dic61C2412yes—
207C22×Dic61C2414yes—
208C22×Dic61C2412yes—
209C22×Dic61C2412yes—
210C2×Dic122—24no—
211C2×Dic122—24no—
212C2×Dic122—44no—
213C2×Dic122—44no—
214C4⋊C4×C61—44no—
215C22⋊C4×C61—24no—
216C22⋊C4×C61—24no—
217C22⋊C4×C61—28no—
218C22⋊C4×C61—24no—
219C22⋊C4×C61—42no—
220C22⋊C4×C61—44no—
221C22⋊C4×C61—42no—
222C22⋊Dic61—24no—
223C22⋊Dic61—24no—
224C22⋊Dic61—24no—
225C22⋊Dic61—24no—
226C22⋊Dic61—28no—
227C22⋊Dic61—24no—
228C22⋊Dic61—28no—
229C22⋊Dic61—42no—
230C22⋊Dic61—44no—
231C22⋊Dic61—42no—
232C22⋊Dic61C2×D418yes—
233C22⋊Dic61C2×D418yes—
234C4⋊Dic61—24no—
235C4⋊Dic61—24no—
236C4⋊Dic61—44no—
237#11758196—28no—
238#11758196—28no—
239#11758196—24no—
240#11758196—24no—
241#11758196—24no—
242#11758196—24no—
243#11758196—44no—
244#11758196—44no—
245#11758196—44no—
246C4×Dic61—44no—
247C23×C61—22no—
248C23×C61—22no—
249C23×C61—28no—
250C23×C61—22no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—22no—
254C23×C61—22no—
255C23×C61—22no—
256C23×C61—24no—
257C23×C61—24no—
258C23×C61—22no—
259C23×C61—22no—
260C23×C61—28no—
261C23×C61—44no—
262C23×C61—44no—
263C23×C61—416no—
264C23×C61—44no—
265C23×C61—44no—
266C23×C61—88no—
267C23×C61C22×D412yes—
268C23×C61C22×D412yes—
269C23×C61C22×D412yes—
270C23×C61H(5,𝔽2)14yes—
271C23×C612−1+414yes—
272C23×C61C2511yescharacteristic
273D4×C61—48no—
274D4×C61—48no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—24no—
280C2×C4×C61—24no—
281C2×C4×C61—22no—
282C2×C4×C61—24no—
283C2×C4×C61—24no—
284C2×C4×C61—24no—
285C2×C4×C61—44no—
286C2×C4×C61—82no—
287C2×C4×C61—82no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—44no—
302C2×Dic61—44no—
303C2×Dic61—416no—
304C2×Dic61—44no—
305C2×Dic61—44no—
306C2×Dic61—82no—
307C2×Dic61—82no—
308C2×Dic61C22×D414yes—
309C2×Dic61C22×D414yes—
310Dic122—84no—
311Dic122—84no—
312#36720—611nomaximal, Sylow
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—28no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—24no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—22no—
323C22×C61—28no—
324C22×C61—416no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61—88no—
331C22×C61#53614yes—
332C22×C61C23×D411yescharacteristic
333C22×C61C2×H(5,𝔽2)12yes—
334C22×C61C2×2−1+412yes—
335C22×C61#58512yes—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—44no—
340Dic61—24no—
341Dic61—24no—
342Dic61—42no—
343Dic61—42no—
344Dic61—42no—
345Dic61—42no—
346Dic61—44no—
347C2×#543—611no—
348C22×#123—611no—
349#2848—612no—
350#2687—614no—
351#2687—614no—
352#2680—614no—
353#2680—614no—
354#2627—612no—
355#2561—612no—
356#2502—612no—
357#2483—611no—
358#2483—611no—
359#2405—611no—
360#2405D6111yescharacteristic
361#2312—611no—
362C2×C61—24no—
363C2×C61—44no—
364C2×C61—42no—
365C2×C61—42no—
366C2×C61C2×#53611yescharacteristic
367C2×C61#348411yescharacteristic
368C2×C61#348511yescharacteristic
369C2×C61#353514yes—
370C23×D4C2×D6111yescharacteristic
371C24×C4—611no—
372#543—1228no—
373C2×#123—614no—
374C2×#123—614no—
375C2×#123—612no—
376C2×#123—1228no—
377C2×#123C2×D6112yes—
378C2×C22⋊Q8—612no—
379C2×C22⋊Q8—612no—
380C2×C22⋊Q8—612no—
381C2×C22⋊Q8—612no—
382C2×C22⋊Q8—612no—
383C2×C22⋊Q8—612no—
384C2×C22⋊Q8—614no—
385C22×C4⋊C4—611no—
386C22×C4⋊C4—611no—
387C22×C22⋊C4—611no—
388C22×C22⋊C4—611no—
389C22×C22⋊C4—611no—
390C22×C22⋊C4—611no—
391C22×C22⋊C4C2×D6111yescharacteristic
392#400—614no—
393#398—614no—
394#398—614no—
395#398—614no—
396#398—614no—
397#397—614no—
398#397—614no—
399#397—614no—
400#395—614no—
401#394—614no—
402#394C2×D6114yes—
403#393—614no—
404#391—614no—
405#388—614no—
406#388—614no—
407#388—614no—
408#388—614no—
409#386—612no—
410#386C2×D6112yes—
411#385—612no—
412#385—612no—
413#385—614no—
414#385—614no—
415#385—612no—
416#385—612no—
417#385—612no—
418#385C2×D6112yes—
419#384—614no—
420#381—612no—
421#381—612no—
422#381—612no—
423#381—612no—
424#380—612no—
425#380—614no—
426#379—612no—
427#379—611no—
428#379C2×D6112yes—
429#379C2×D6111yescharacteristic
430C4×C22⋊C4—612no—
431C61#3672011yescharacteristic, complemented, Sylow
432C25C22×D6111yescharacteristic
433C25C22×D6111yescharacteristic
434C22×Q8—612no—
435C22×Q8—612no—
436C22×D4—24no—
437C22×D4—44no—
438C22×D4C22×D6112yes—
439C22×D4C22×D6112yes—
440C23×C4—611no—
441C23×C4—611no—
442C23×C4—611no—
443C23×C4—614no—
444C23×C4—611no—
445C23×C4—611no—
446C23×C4—611no—
447C23×C4—1224no—
448C23×C4—2444no—
449C23×C4C22×D6111yescharacteristic
450C23×C4C22×D6111yescharacteristic
451C23×C4C22×D6111yescharacteristic
452#123—44no—
453#123—12216no—
454#123—12216no—
455#123—2444no—
456C22⋊Q8—1228no—
457C22⋊Q8—1228no—
458C22⋊Q8—1228no—
459C22⋊Q8—1228no—
460C22⋊Q8—1228no—
461C22⋊Q8—1228no—
462C22⋊Q8—2448no—
463C2×C4⋊C4—614no—
464C2×C4⋊C4—614no—
465C2×C4⋊C4—612no—
466C2×C4⋊C4—612no—
467C2×C4⋊C4—612no—
468C2×C4⋊C4—612no—
469C2×C4⋊C4—612no—
470C2×C4⋊C4—612no—
471C2×C4⋊C4—614no—
472C2×C4⋊C4—614no—
473C2×C4⋊C4—614no—
474C2×C4⋊C4—614no—
475C2×C4⋊C4—1224no—
476C2×C4⋊C4—1224no—
477C2×C4⋊C4C22×D6114yes—
478C2×C22⋊C4—24no—
479C2×C22⋊C4—618no—
480C2×C22⋊C4—612no—
481C2×C22⋊C4—612no—
482C2×C22⋊C4—612no—
483C2×C22⋊C4—612no—
484C2×C22⋊C4—612no—
485C2×C22⋊C4—612no—
486C2×C22⋊C4—614no—
487C2×C22⋊C4—614no—
488C2×C22⋊C4—612no—
489C2×C22⋊C4—612no—
490C2×C22⋊C4—614no—
491C2×C22⋊C4—612no—
492C2×C22⋊C4—1224no—
493C2×C22⋊C4—1224no—
494C2×C22⋊C4—1224no—
495C2×C22⋊C4C22×D6112yes—
496C2×C22⋊C4C22×D6112yes—
497C2×C22⋊C4C22×D6114yes—
498C2×C22⋊C4C22×D6112yes—
499C2×C22⋊C4C22×D6112yes—
500C2×C22⋊C4C22×D6114yes—
501C2×C22⋊C4C22×D6112yes—
502C2×C42—614no—
503#95—614no—
504#95—614no—
505#95—614no—
506#95—614no—
507#95—614no—
508#95—614no—
509#95—614no—
510#95—614no—
511#95—614no—
512#95C22×D6114yes—
513C24—22no—
514C24—24no—
515C24—24no—
516C24—24no—
517C24—42no—
518C24—42no—
519C24—42no—
520C24D4×D6114yes—
521C24C23×D6111yescharacteristic
522C24C23×D6111yescharacteristic
523C24C23×D6112yes—
524C24C23×D6111yescharacteristic
525C2×Q8—1224no—
526C2×Q8—1224no—
527C2×Q8—2444no—
528C2×Q8—2444no—
529C2×D4—24no—
530C2×D4—24no—
531C2×D4—24no—
532C2×D4—24no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—416no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—614no—
545C22×C4—614no—
546C22×C4—612no—
547C22×C4—614no—
548C22×C4—612no—
549C22×C4—612no—
550C22×C4—612no—
551C22×C4—1228no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1228no—
557C22×C4—1224no—
558C22×C4—2442no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4—2444no—
562C22×C4—2442no—
563C22×C4—2442no—
564C22×C4—24416no—
565C22×C4C23×D6114yes—
566C22×C4C23×D6112yes—
567C22×C4C23×D6112yes—
568C22×C4C23×D6112yes—
569C4⋊C4—44no—
570C4⋊C4—1228no—
571C4⋊C4—1228no—
572C4⋊C4—1224no—
573C4⋊C4—1224no—
574C4⋊C4—1224no—
575C4⋊C4—1224no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—2444no—
579C4⋊C4—2444no—
580C4⋊C4—2444no—
581C4⋊C4—2444no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—28no—
585C22⋊C4—24no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—44no—
589C22⋊C4—618no—
590C22⋊C4—618no—
591C22⋊C4—1228no—
592C22⋊C4—1224no—
593C22⋊C4—1224no—
594C22⋊C4—1224no—
595C22⋊C4—1224no—
596C22⋊C4—1228no—
597C22⋊C4—1224no—
598C22⋊C4—2442no—
599C22⋊C4—2442no—
600C22⋊C4—2444no—
601C42—2444no—
602C23—22no—
603C23—22no—
604C23—28no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—24no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—22no—
614C23—22no—
615C23—28no—
616C23—44no—
617C23—44no—
618C23—416no—
619C23—44no—
620C23—44no—
621C23—88no—
622C23C2×D4×D6112yes—
623C23C2×D4×D6112yes—
624C23C2×D4×D6112yes—
625C23#1451982214yes—
626C23#1451982414yes—
627C23C24×D6111yescharacteristic
628Q8—4884no—
629Q8—4884no—
630D4—48no—
631D4—48no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—44no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—614no—
646C2×C4—614no—
647C2×C4—1224no—
648C2×C4—1224no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1224no—
654C2×C4—1224no—
655C2×C4—1224no—
656C2×C4—1224no—
657C2×C4—1224no—
658C2×C4—1224no—
659C2×C4—1224no—
660C2×C4—4882no—
661C2×C4—4882no—
662C2×C4—2444no—
663C2×C4—2444no—
664C2×C4—24416no—
665C2×C4—2444no—
666C2×C4—2444no—
667C22—22no—
668C22—28no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—28no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—24no—
678C22—416no—
679C22—42no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—42no—
684C22—88no—
685C22#1684033414yes—
686C22C22×D4×D6111yescharacteristic
687C22C2×#1451982212yes—
688C22C2×#1451982412yes—
689C22#1684059712yes—
690C4—42no—
691C4—44no—
692C4—42no—
693C4—42no—
694C4—1224no—
695C4—1224no—
696C4—2442no—
697C4—2444no—
698C4—2442no—
699C4—2442no—
700C4—2442no—
701C2—24no—
702C2—44no—
703C2—42no—
704C2—42no—
705C2C2×#1684033411yescharacteristic
706C2#2145944811yescharacteristic
707C2#2145946011yescharacteristic
708C2#2146001614yes—
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2405C2
prime radicalC23×D4×C61C22
hypercenter#2405D61
hypocenterC61#36720
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#16840388C2semidirect
3. #21454104C2semidirect
4. #21452246C2semidirect
5. #21452244C2semidirect
6. #21452162C2semidirect
7. #21452156C2semidirect
8. #21451638C2semidirect
9. #21450974C2semidirect
10. #21450295C2semidirect
11. #21450100C2semidirect
12. #21450097C2semidirect
14. #21448415C2semidirect
22. C2×#14519756C22semidirect
23. C2×#14519756C22semidirect
26. C2×#14519754C22semidirect
27. C2×#14519754C22semidirect
28. C2×#14519754C22semidirect
35. #16839703C22semidirect
36. #16839696C22semidirect
37. #16839696C22semidirect
38. #16839695C22semidirect
39. #16839693C22semidirect
40. #16839690C22semidirect
41. #16839690C22semidirect
42. #16839687C22semidirect
43. #16839682C22semidirect
45. #16839674C22semidirect
46. #16839666C22semidirect
47. #16839656C22semidirect
48. #16839655C22semidirect
49. #16839650C22semidirect
50. #16839650C22semidirect
53. #16839637C22semidirect
54. #16839637C22semidirect
56. #16839635C22semidirect
58. #16839634C22semidirect
59. #16839631C22semidirect
60. #16839625C22semidirect
63. #16839623C22semidirect
65. #16839620C22semidirect
431. C61#36720semidirect

Maximal subgroups

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

subgroupindex
C2×#168403882
C22×#145197582
#214541042
#214522462
#214522442
#214521622
#214521562
#214516382
#214509742
#214502952
#214501002
#214500972
#214491422
#214484152
C61×#24052
#3672061