Finite Group Databasebeta

← #30603025

Subgroups — #30603025

Order 15616.

1066 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#407C211yesmaximal, characteristic
2#21462382C211yesmaximal, characteristic, complemented
3#21462263C211yesmaximal, characteristic
4#21461531C211yesmaximal, characteristic, complemented
5#21461529C211yesmaximal, characteristic, complemented
6#21461523C211yesmaximal, characteristic, complemented
7#407×D61C211yesmaximal, characteristic
8C2×D61⋊M16C2211yescharacteristic
9C2×D61⋊M16C2211yescharacteristic
10C2×#14519856C2211yescharacteristic
11C2×#14519856C2211yescharacteristic
12#16840734C412yescomplemented
13#16840733—22no—
14#16840732C412yescomplemented
15D61⋊(C22⋊C8)—22no—
16#16840728—22no—
17#16840725—22no—
18M16×#6923—22no—
19#16840705C412yes—
20#16840704—22no—
21#16840703C412yes—
22C4×C22⋊#6923—22no—
23#16840645—22no—
24#16840644—22no—
25#16840641—22no—
26C23×C4×D61C2211yescharacteristic
27C2×M16×D61C2211yescharacteristic
28C2×M16×D61C2211yescharacteristic
29#16839726C411yescharacteristic, complemented
30#16839725C411yescharacteristic, complemented
31#16839725C411yescharacteristic, complemented
32#16839724—22no—
33C22⋊C8×D61—22no—
34C61×#407C411yescharacteristic, complemented
35C2×#11758213—21no—
36C2×#11758213D412yes—
37D61⋊M16—21no—
38D61⋊M16—21no—
39D61⋊M16—21no—
40D61⋊M16—21no—
41D61⋊M16—21no—
42D61⋊M16—21no—
43D61⋊M16—21no—
44D61⋊M16—21no—
45C2×#11758217C2×C412yes—
46C2×#11758217C2×C412yes—
47C2×D61⋊C8—21no—
48C2×D61⋊C8D412yes—
49#14519856—21no—
50#14519856—21no—
51#14519856—21no—
52#14519856—21no—
53#14519856—21no—
54#14519856—21no—
55#14519856—21no—
56#14519856—21no—
57C2×C4⋊#6923—21no—
58C2×C4⋊#6923D412yes—
59C2×C22⋊#6923—24no—
60C2×C22⋊#6923C2×C412yes—
61C2×C22⋊#6923C2×C412yes—
62C2×C4×#6923—21no—
63C2×C4×#6923D412yes—
64#14519834—24no—
65C22⋊#92420—24no—
66#14519831—24no—
67C8×#6923—24no—
68(C2×#6923)⋊C4—24no—
69C24×D61C2×C411yescharacteristic
70C23×Dic61C2×C411yescharacteristic
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61—21no—
75C22×C4×D61—21no—
76C22×C4×D61—21no—
77C22×C4×D61—21no—
78C22×C4×D61—21no—
79C22×C4×D61—21no—
80C22×C4×D61—21no—
81C22×C4×D61—21no—
82C22×C4×D61—21no—
83C22×C4×D61C2×C411yescharacteristic
84C22×C4×D61C2×C411yescharacteristic
85C22×C4×D61C2×C411yescharacteristic
86C22×C4×D61C2311yescharacteristic
87C2×#11758194C2×C411yescharacteristic
88C2×#11758194C2×C411yescharacteristic
89C2×#11758189—21no—
90C2×#11758189D412yes—
91M16×D61—21no—
92M16×D61—21no—
93M16×D61—21no—
94M16×D61—21no—
95M16×D61—21no—
96M16×D61—21no—
97M16×D61—21no—
98M16×D61—21no—
99C2×C8×D61—21no—
100C2×C8×D61D412yes—
101C22⋊#92418—22no—
102#14519689—22no—
103#14519689—22no—
104C23×C4×C61C2×C411yescharacteristic
105C2×M16×C61C2×C411yescharacteristic
106C2×M16×C61C2×C411yescharacteristic
107C22⋊C8×C61—22no—
108C24×C61C4211yescharacteristic
109C23×D61—21no—
110C23×D61—21no—
111C23×D61—21no—
112C23×D61—21no—
113C23×D61—21no—
114C23×D61—21no—
115C23×D61—44no—
116C23×D61C4211yescharacteristic
117C23×D61C22×C411yescharacteristic
118C22×#6923—22no—
119C22×#6923C22⋊C414yes—
120C22×C4×C61—21no—
121C22×C4×C61—21no—
122C22×C4×C61—21no—
123C22×C4×C61—21no—
124C22×C4×C61—21no—
125C22×C4×C61—21no—
126C22×C4×C61C4211yescharacteristic
127C22×C4×C61C22×C411yescharacteristic
128C22×Dic61—21no—
129C22×Dic61—21no—
130C22×Dic61—21no—
131C22×Dic61—21no—
132C22×Dic61—21no—
133C22×Dic61—21no—
134C22×Dic61C4211yescharacteristic
135C22×Dic61C22×C411yescharacteristic
136C2×C4×D61—21no—
137C2×C4×D61—21no—
138C2×C4×D61—21no—
139C2×C4×D61—21no—
140C2×C4×D61—21no—
141C2×C4×D61—21no—
142C2×C4×D61—21no—
143C2×C4×D61—21no—
144C2×C4×D61—21no—
145C2×C4×D61—21no—
146C2×C4×D61—21no—
147C2×C4×D61—21no—
148C2×C4×D61—21no—
149C2×C4×D61—21no—
150C2×C4×D61—21no—
151C2×C4×D61—21no—
152C2×C4×D61—21no—
153C2×C4×D61—21no—
154C2×C4×D61—41no—
155C2×C4×D61—41no—
156C2×C4×D61—41no—
157C2×C4×D61—41no—
158C2×C4×D61—41no—
159C2×C4×D61—41no—
160C2×C4×D61—41no—
161C2×C4×D61—41no—
162C2×C4×D61—41no—
163C2×C4×D61—41no—
164C2×C4×D61—41no—
165C2×C4×D61—41no—
166C2×C4×D61—41no—
167C2×C4×D61—41no—
168C2×C4×D61—41no—
169C2×C4×D61—41no—
170C2×C4×D61C2×D411yescharacteristic
171C2×C4×D61C2×D411yescharacteristic
172C2×C4×D61C2×D411yescharacteristic
173C2×C4×D61C2×D411yescharacteristic
174C2×C4×D61C2×D411yescharacteristic
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61#4111yescharacteristic
177C2×C4×D61#4111yescharacteristic
178C2×C4×D61#4111yescharacteristic
179C2×C4×D61#4111yescharacteristic
180C2×C4×D61#4111yescharacteristic
181C2×C4×D61#4111yescharacteristic
182C22⋊#6923—22no—
183C22⋊#6923—22no—
184C22⋊#6923—22no—
185C22⋊#6923—22no—
186C22⋊#6923—48no—
187#11758217—22no—
188#11758217—22no—
189#11758217—22no—
190#11758217—22no—
191C2×#92420—22no—
192C2×#92420C22⋊C414yescomplemented
193C4⋊#6923—22no—
194C4⋊#6923—22no—
195C4⋊#6923—41no—
196C4⋊#6923—41no—
197C4×#6923—22no—
198C4×#6923—22no—
199C4×#6923—41no—
200C4×#6923—41no—
201#11758213—22no—
202#11758213—22no—
203#11758213—41no—
204#11758213—41no—
205D61⋊C8—22no—
206D61⋊C8—22no—
207D61⋊C8—41no—
208D61⋊C8—41no—
209M16×C61—21no—
210M16×C61—21no—
211M16×C61—21no—
212M16×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61C22⋊C412yescomplemented
215#11758194—21no—
216#11758194—21no—
217#11758194—21no—
218#11758194—21no—
219C2×#92418—21no—
220C2×#92418C22⋊C412yescomplemented
221#11758189—22no—
222#11758189—22no—
223#11758189—41no—
224#11758189—41no—
225C8×D61—22no—
226C8×D61—22no—
227C8×D61—41no—
228C8×D61—41no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—42no—
233C23×C61C2×C4211yescharacteristic
234C22×D61—24no—
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—42no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61C2×C22⋊C411yescharacteristic
256C22×D61#11711yescharacteristic
257C22×D61C4×D411yescharacteristic
258C22×D61C4×D411yescharacteristic
259C22×D61C4×D411yescharacteristic
260C22×D61C4×D411yescharacteristic
261C2×#6923—24no—
262C2×#6923—44no—
263C2×#6923—44no—
264C2×#6923—42no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61#11711yescharacteristic
274C2×C4×C61C4×D411yescharacteristic
275C2×C4×C61C4×D411yescharacteristic
276C2×C4×C61C4×D411yescharacteristic
277C2×C4×C61C4×D411yescharacteristic
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61#11711yescharacteristic
287C2×Dic61C4×D411yescharacteristic
288C2×Dic61C4×D411yescharacteristic
289C2×Dic61C4×D411yescharacteristic
290C2×Dic61C4×D411yescharacteristic
291C4×D61—41no—
292C4×D61—41no—
293C4×D61—41no—
294C4×D61—41no—
295C4×D61—41no—
296C4×D61—41no—
297C4×D61—41no—
298C4×D61—41no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61#12011yescharacteristic
304C4×D61#12111yescharacteristic
305C4×D61#12111yescharacteristic
306C4×D61#12111yescharacteristic
307C4×D61#12111yescharacteristic
308C4×D61#12111yescharacteristic
309C4×D61#12111yescharacteristic
310C4×D61#12311yescharacteristic
311C4×D61#12311yescharacteristic
312C4×D61#12311yescharacteristic
313C4×D61#12411yescharacteristic
314C4×D61#12411yescharacteristic
315C4×D61#12411yescharacteristic
316C4×D61#12611yescharacteristic
317C4×D61#12611yescharacteristic
318C4×D61#12711yescharacteristic
319#92420—24no—
320#92420—42no—
321C8×C61—22no—
322C8×C61—41no—
323#92418—22no—
324#92418—41no—
325#10937—611nomaximal, Sylow
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61C4×C22⋊C411yescharacteristic
335C22×C61C4×C22⋊C411yescharacteristic
336C22×C61C4×C22⋊C411yescharacteristic
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—44no—
347C2×D61—44no—
348C2×D61—44no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—44no—
354C2×D61#38611yescharacteristic
355C2×D61#38811yescharacteristic
356C2×D61#38811yescharacteristic
357C2×D61#39011yescharacteristic
358#6923—44no—
359#6923—82no—
360C4×C61—41no—
361C4×C61#38611yescharacteristic
362C4×C61#38811yescharacteristic
363C4×C61#38811yescharacteristic
364C4×C61#39011yescharacteristic
365Dic61—41no—
366Dic61#38611yescharacteristic
367Dic61#38811yescharacteristic
368Dic61#38811yescharacteristic
369Dic61#39011yescharacteristic
370C2×#407—611no—
371C2×#407—611no—
372#2873—611no—
373#2280—611no—
374C2×#344—611no—
375C2×#344—611no—
376#1742—611no—
377C2×C61—21no—
378C2×C61—21no—
379C2×C61—21no—
380C2×C61—42no—
381C2×C61#143711yescharacteristic
382D61—21no—
383D61—21no—
384D61—21no—
385D61—42no—
386D61#189112yes—
387C24×C4—611no—
388C22×M16—611no—
389C22×M16—611no—
390C22×M16—611no—
391C22×M16—611no—
392C2×#117—611no—
393C2×#117—611no—
394#407—612no—
395#407—612no—
396#407—611no—
397#407—611no—
398#407—611no—
399#407—1222no—
400#407—1222no—
401#407#692311yescharacteristic, complemented
402C2×C22⋊C8—1222no—
403C2×C22⋊C8—1222no—
404#405—1222no—
405#405—1222no—
406C4×M16—1222no—
407#381—612no—
408#380—1222no—
409#379—612no—
410C4×C22⋊C4—1222no—
411#344—1222no—
412#344—1222no—
413#343—1222no—
414C61#1093711yescharacteristic, complemented, Sylow
415C25—611no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—1221no—
422C23×C4—1221no—
423C23×C4—1221no—
424C23×C4—1221no—
425C23×C4—1221no—
426C23×C4—1221no—
427C23×C4—1221no—
428C23×C4—1221no—
429C23×C4—1221no—
430C23×C4—1221no—
431C23×C4—1221no—
432C23×C4—1221no—
433C23×C4C2×#692311yescharacteristic
434C2×M16—612no—
435C2×M16—612no—
436C2×M16—611no—
437C2×M16—612no—
438C2×M16—612no—
439C2×M16—611no—
440C2×M16—1221no—
441C2×M16—1221no—
442C2×M16—1221no—
443C2×M16—1221no—
444C2×M16—1221no—
445C2×M16—1221no—
446C2×M16—1221no—
447C2×M16—1221no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16—1221no—
453C2×M16—1221no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16—1221no—
457C2×M16—1221no—
458C2×M16C2×#692311yescharacteristic
459C2×M16C2×#692311yescharacteristic
460C22×C8—612no—
461C22×C8—612no—
462C22×C8—1221no—
463C22×C8—1221no—
464#117—1221no—
465#117—1221no—
466#117—1221no—
467#117—1221no—
468#117—1221no—
469#117—1221no—
470#117—1221no—
471#117—1221no—
472C2×C4⋊C4—612no—
473C2×C4⋊C4—1221no—
474C2×C22⋊C4—612no—
475C2×C22⋊C4—612no—
476C2×C22⋊C4—1224no—
477C2×C42—612no—
478C2×C42—1221no—
479C22⋊C8—22no—
480C22⋊C8—1222no—
481C22⋊C8—1222no—
482C22⋊C8—1224no—
483C22⋊C8—1224no—
484C22⋊C8—1222no—
485#97—1224no—
486C4×C8—1224no—
487#95—1224no—
488C24—611no—
489C24—611no—
490C24—1221no—
491C24—1221no—
492C24—1221no—
493C24—1221no—
494C24—1221no—
495C24—1221no—
496C24—2444no—
497C24C4×#692311yescharacteristic
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—614no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
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—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1222no—
544C22×C4—2441no—
545C22×C4—2441no—
546C22×C4—2441no—
547C22×C4—2441no—
548C22×C4—2441no—
549C22×C4—2441no—
550C22×C4—2441no—
551C22×C4—2441no—
552C22×C4—2441no—
553C22×C4—2441no—
554C22×C4—2441no—
555C22×C4—2441no—
556C22×C4—2441no—
557C22×C4—2441no—
558C22×C4—2441no—
559C22×C4—2441no—
560C22×C4C4×#692311yescharacteristic
561C22×C4C22×#692311yescharacteristic
562M16—21no—
563M16—21no—
564M16—21no—
565M16—21no—
566M16—1222no—
567M16—1222no—
568M16—1222no—
569M16—1222no—
570M16—1222no—
571M16—1222no—
572M16—1221no—
573M16—1221no—
574M16—1222no—
575M16—1222no—
576M16—1221no—
577M16—1221no—
578M16—2441no—
579M16—2441no—
580M16—2441no—
581M16—2441no—
582C2×C8—21no—
583C2×C8—614no—
584C2×C8—612no—
585C2×C8—1222no—
586C2×C8—1222no—
587C2×C8—1222no—
588C2×C8—1222no—
589C2×C8—1222no—
590C2×C8—1221no—
591C2×C8—2441no—
592C2×C8—2441no—
593C2×C8—2441no—
594C2×C8—2441no—
595C2×C8C22⋊#692312yescomplemented
596C4⋊C4—1222no—
597C4⋊C4—1222no—
598C4⋊C4—2441no—
599C4⋊C4—2441no—
600C22⋊C4—1222no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—2448no—
605C42—1222no—
606C42—1222no—
607C42—2441no—
608C42—2441no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—42no—
613C23—611no—
614C23—611no—
615C23—611no—
616C23—611no—
617C23—611no—
618C23—611no—
619C23—1224no—
620C23—1224no—
621C23—1224no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2441no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23—2442no—
640C23C2×C4×#692311yescharacteristic
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—611no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—1224no—
671C2×C4—1221no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2442no—
687C2×C4—2444no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2444no—
693C2×C4C2×C22⋊#692311yescharacteristic
694C2×C4#1451985611yescharacteristic
695C2×C4D4×#692311yescharacteristic
696C2×C4D4×#692311yescharacteristic
697C2×C4D4×#692311yescharacteristic
698C2×C4D4×#692311yescharacteristic
699C8—22no—
700C8—41no—
701C8—1224no—
702C8—1222no—
703C8—2442no—
704C8—2441no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—611no—
714C22—611no—
715C22—611no—
716C22—611no—
717C22—1222no—
718C22—1222no—
719C22—1222no—
720C22—1222no—
721C22—1222no—
722C22—1222no—
723C22—2441no—
724C22—2441no—
725C22—2441no—
726C22—2441no—
727C22—2441no—
728C22—2441no—
729C22—2444no—
730C22—2444no—
731C22—2444no—
732C22—2444no—
733C22—2441no—
734C22C4×C22⋊#692311yescharacteristic
735C22C22⋊C4×#692311yescharacteristic
736C22C22⋊C4×#692311yescharacteristic
737C4—41no—
738C4—611no—
739C4—611no—
740C4—611no—
741C4—611no—
742C4—4882no—
743C4—2444no—
744C4—2441no—
745C4#1684071011yescharacteristic
746C4#1684071211yescharacteristic
747C4#1684071211yescharacteristic
748C4#1684071411yescharacteristic
749C2—21no—
750C2—21no—
751C2—21no—
752C2—42no—
753C2—612no—
754C2—1221no—
755C2—1221no—
756C2—1221no—
757C2—2442no—
758C2#2146100011yescharacteristic
subgroupG/H
centerC4#16840710
commutatorC23×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC61×#407C4
socleC2×C61#1437
prime radicalC24×D61C2×C4
cosocleC22×C4×D61C23
hypercenter#407#6923
hypocenterC61#10937
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #407

Complements

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

NH ≅ G/Ntype
2. #21462382C2semidirect
4. #21461531C2semidirect
5. #21461529C2semidirect
6. #21461523C2semidirect
12. #16840734C4semidirect
14. #16840732C4semidirect
29. #16839726C4semidirect
30. #16839725C4semidirect
31. #16839725C4semidirect
34. C61×#407C4semidirect
192. C2×#92420C22⋊C4semidirect
214. C2×C8×C61C22⋊C4semidirect
220. C2×#92418C22⋊C4semidirect
401. #407#6923semidirect
414. C61#10937semidirect
595. C2×C8C22⋊#6923semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4072
#214623822
#214622632
#214615312
#214615292
#214615232
#407×D612
#1093761