Finite Group Databasebeta

← D61⋊#1932 #30615944

Subgroups — D61⋊#1932 #30615944

Order 15616.

1046 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#430C211yesmaximal, characteristic, complemented
2D61⋊#421C211yesmaximal, characteristic
3C2×D61⋊#104C211yesmaximal, characteristic
4C2×M16×#6923C211yesmaximal, characteristic, complemented
5#21461907C214yesmaximal, complemented
6#21461906C214yesmaximal, complemented
7#21461531C211yesmaximal, characteristic, complemented
8C2×#16840634C211yesmaximal, characteristic, complemented
9#413×D61C211yesmaximal, characteristic
10C2×D61⋊M16C2211yescharacteristic
11C2×D61⋊M16C2211yescharacteristic
12C2×#14519856C2211yescharacteristic
13C22×C4×#6923C2211yescharacteristic
14#16840777—22no—
15#16840777C2214yescomplemented
16D61⋊#108—22no—
17#16840761C2212yes—
18#16840760C2212yes—
19#16840759—22no—
20C2×#14519842C2212yes—
21D61⋊#104—22no—
22D61⋊#104—21no—
23D61⋊#104—21no—
24D61⋊#104—22no—
25C2×#14519841C2212yes—
26M16×#6923—22no—
27M16×#6923C2214yescomplemented
28C2×#14519831—21no—
29C2×C8×#6923—21no—
30#16840645C2214yescomplemented
31#16840634C2214yescomplemented
32C2×#41×D61C2211yescharacteristic
33C2×M16×D61C2211yescharacteristic
34C2×M16×D61C2211yescharacteristic
35#16839746C411yescharacteristic, complemented
36#16839745C2212yes—
37#16839744C411yescharacteristic, complemented
38#16839744C411yescharacteristic, complemented
39#16839743C2212yes—
40#101×D61C412yescomplemented
41#100×D61C412yescomplemented
42C61×#413C411yescharacteristic, complemented
43C23×#6923—21no—
44C2×#11758213D412yes—
45C2×#11758213C2312yes—
46D61⋊M16—21no—
47D61⋊M16—21no—
48D61⋊M16—21no—
49D61⋊M16—21no—
50D61⋊M16—21no—
51D61⋊M16—21no—
52D61⋊M16D412yes—
53D61⋊M16C2312yes—
54C2×#11758217—21no—
55C2×#11758217—21no—
56C2×D61⋊C8—21no—
57C2×D61⋊C8—21no—
58#14519856—21no—
59#14519856—21no—
60#14519856—21no—
61#14519856C2312yes—
62C2×C4⋊#6923—21no—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65C2×C4×#6923—21no—
66C2×C4×#6923—21no—
67C2×C4×#6923—21no—
68C2×C4×#6923D411yescharacteristic
69C2×C4×#6923D411yescharacteristic
70C2×C4×#6923D412yes—
71C2×C4×#6923C2312yes—
72#14519848—24no—
73#14519847—24no—
74#14519842—22no—
75#14519842—22no—
76#14519842—24no—
77#14519841—22no—
78#14519841—22no—
79#14519841—24no—
80#14519831—24no—
81C8×#6923—24no—
82C2×#11758226C2311yescharacteristic
83C2×#11758222—21no—
84C2×#11758222C2×C411yescharacteristic
85C2×#11758224—21no—
86C2×#11758224C2311yescharacteristic
87#41×D61—21no—
88#41×D61—21no—
89#41×D61—21no—
90#41×D61—21no—
91#41×D61—21no—
92#41×D61—21no—
93#41×D61—21no—
94#41×D61—21no—
95C2×Q8×D61C2×C411yescharacteristic
96C2×D4×D61—21no—
97C2×D4×D61C2×C411yescharacteristic
98C22×C4×D61—21no—
99C22×C4×D61C2311yescharacteristic
100C2×#11758194C2×C411yescharacteristic
101C2×#11758194C2×C411yescharacteristic
102C2×#11758189—21no—
103C2×#11758189—21no—
104M16×D61—21no—
105M16×D61—21no—
106M16×D61—21no—
107M16×D61—21no—
108M16×D61C2×C412yes—
109M16×D61C2×C412yes—
110M16×D61C2312yes—
111M16×D61C2312yes—
112C2×C8×D61—21no—
113C2×C8×D61—21no—
114#14519696C2×C412yescomplemented
115#14519695C2×C412yescomplemented
116#14519695C2×C412yescomplemented
117#14519694C2×C412yescomplemented
118#14519693C2×C412yescomplemented
119#14519693C2×C412yescomplemented
120C2×#41×C61C2×C411yescharacteristic
121C2×M16×C61C2×C411yescharacteristic
122C2×M16×C61C2×C411yescharacteristic
123#101×C61C2×C412yescomplemented
124#100×C61C2×C412yescomplemented
125C23×D61—21no—
126C23×D61#4111yescharacteristic
127C22×#6923—21no—
128C22×#6923—22no—
129C22×#6923—21no—
130C22×#6923—22no—
131C22×#6923—44no—
132C22×#6923—41no—
133#41×C61—21no—
134#41×C61—21no—
135#41×C61—21no—
136#41×C61—21no—
137C2×Q8×C61C22×C411yescharacteristic
138C2×D4×C61—21no—
139C2×D4×C61C22×C411yescharacteristic
140C22×C4×C61—21no—
141C22×C4×C61C22×C411yescharacteristic
142C2×C22⋊D61—21no—
143C2×C22⋊D61—21no—
144C2×C22⋊D61—21no—
145C22×Dic61—21no—
146C22×Dic61#4111yescharacteristic
147#11758226—21no—
148#11758226—21no—
149#11758226—21no—
150#11758226—21no—
151Q8×D61—21no—
152Q8×D61—21no—
153Q8×D61—21no—
154Q8×D61—21no—
155#11758224—21no—
156#11758224—21no—
157#11758224—21no—
158#11758224—21no—
159#11758224—41no—
160#11758224—41no—
161#11758224—41no—
162#11758224—41no—
163D4×D61—21no—
164D4×D61—21no—
165D4×D61—21no—
166D4×D61—21no—
167D4×D61—41no—
168D4×D61—41no—
169D4×D61—41no—
170D4×D61—41no—
171#11758222—21no—
172#11758222—21no—
173#11758222—21no—
174#11758222—21no—
175#11758222—41no—
176#11758222—41no—
177#11758222—41no—
178#11758222—41no—
179C2×D244—21no—
180C2×D244C22×C411yescharacteristic
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—41no—
185C2×C4×D61—41no—
186C2×C4×D61—41no—
187C2×C4×D61—41no—
188C2×C4×D61C22×C411yescharacteristic
189C2×C4×D61C2×D411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61#4111yescharacteristic
194C2×C4×D61#4111yescharacteristic
195C2×C4×D61#4111yescharacteristic
196C2×C4×D61#4111yescharacteristic
197C2×C4×D61#4111yescharacteristic
198C2×C4×D61#4111yescharacteristic
199C2×C4×D61C2411yescharacteristic
200C2×Dic122—21no—
201C2×Dic122C22×C411yescharacteristic
202C22⋊#6923—22no—
203C22⋊#6923—41no—
204#11758217—22no—
205#11758217—22no—
206#11758217—41no—
207#11758217—41no—
208C2×#92420—22no—
209C2×#92420—22no—
210C4⋊#6923—22no—
211C4⋊#6923—41no—
212C4×#6923—21no—
213C4×#6923—22no—
214C4×#6923—21no—
215C4×#6923—22no—
216C4×#6923—22no—
217C4×#6923—41no—
218C4×#6923C2×D412yes—
219C4×#6923C2×D412yes—
220#11758213—22no—
221#11758213—22no—
222#11758213—22no—
223#11758213C2×D414yes—
224D61⋊C8—22no—
225D61⋊C8—22no—
226D61⋊C8—41no—
227D61⋊C8—41no—
228M16×C61—21no—
229M16×C61—21no—
230M16×C61C22×C412yes—
231M16×C61C22×C412yes—
232C2×C8×C61—21no—
233C2×C8×C61—21no—
234#11758194—21no—
235#11758194—21no—
236#11758194C22×C412yes—
237#11758194C22×C412yes—
238C2×#92418—21no—
239C2×#92418—21no—
240#11758189—22no—
241#11758189—22no—
242#11758189—22no—
243#11758189—22no—
244C8×D61—22no—
245C8×D61—22no—
246C8×D61—22no—
247C8×D61—22no—
248C23×C61—21no—
249C23×C61#11711yescharacteristic
250C22×D61—21no—
251C22×D61—42no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—82no—
255C22×D61#11711yescharacteristic
256C22×D61#12311yescharacteristic
257C22×D61#12311yescharacteristic
258C22×D61#12411yescharacteristic
259C22×D61#12411yescharacteristic
260C22×D61C2×#4111yescharacteristic
261C2×#6923—24no—
262C2×#6923—22no—
263C2×#6923—22no—
264C2×#6923—44no—
265C2×#6923—44no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×#6923—82no—
269Q8×C61—21no—
270Q8×C61—21no—
271D4×C61—21no—
272D4×C61—21no—
273D4×C61—41no—
274D4×C61—41no—
275C2×C4×C61—21no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61#11711yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61C4×D411yescharacteristic
283C2×C4×C61C23×C411yescharacteristic
284C22⋊D61—41no—
285C22⋊D61—41no—
286C22⋊D61—41no—
287C22⋊D61—41no—
288C22⋊D61—41no—
289C22⋊D61—41no—
290C2×Dic61—21no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61#11711yescharacteristic
294C2×Dic61#12111yescharacteristic
295C2×Dic61#12111yescharacteristic
296C2×Dic61#12611yescharacteristic
297C2×Dic61#12611yescharacteristic
298C2×Dic61C2×#4111yescharacteristic
299D244—21no—
300D244—21no—
301D244—41no—
302D244—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61C4×D411yescharacteristic
310C4×D61C4×D411yescharacteristic
311C4×D61C4×D411yescharacteristic
312C4×D61C4×D411yescharacteristic
313C4×D61#12111yescharacteristic
314C4×D61#12111yescharacteristic
315C4×D61#12311yescharacteristic
316C4×D61#12311yescharacteristic
317C4×D61#12411yescharacteristic
318C4×D61#12411yescharacteristic
319C4×D61#12611yescharacteristic
320C4×D61#12611yescharacteristic
321C4×D61C22×D411yescharacteristic
322C4×D61C22×D411yescharacteristic
323C4×D61C2×#4111yescharacteristic
324C4×D61C2×#4111yescharacteristic
325Dic122—21no—
326Dic122—21no—
327Dic122—41no—
328Dic122—41no—
329#92420—24no—
330#92420—42no—
331C8×C61—22no—
332C8×C61—22no—
333#92418—22no—
334#92418—22no—
335C2×#1932—611nomaximal, Sylow
336C22×C61—41no—
337C22×C61—41no—
338C22×C61—81no—
339C22×C61#38811yescharacteristic
340C22×C61#38811yescharacteristic
341C22×C61C2×#11711yescharacteristic
342C2×D61—22no—
343C2×D61—22no—
344C2×D61—22no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—41no—
349C2×D61—82no—
350C2×D61—82no—
351C2×D61—81no—
352C2×D61#38811yescharacteristic
353C2×D61#38811yescharacteristic
354C2×D61C2×#12311yescharacteristic
355C2×D61C2×#12411yescharacteristic
356#6923—24no—
357#6923—42no—
358#6923—82no—
359C4×C61—41no—
360C4×C61#38811yescharacteristic
361C4×C61#38811yescharacteristic
362C4×C61C2×C4×D411yescharacteristic
363C4×C61C2×C4×D411yescharacteristic
364Dic61—41no—
365Dic61#38811yescharacteristic
366Dic61#38811yescharacteristic
367Dic61C2×#12111yescharacteristic
368Dic61C2×#12611yescharacteristic
369C2×#430—611no—
370C2×#421—611no—
371C22×#104—611no—
372C2×#413—611no—
373C2×C4×M16—611no—
374#1932—614no—
375#1932—614no—
376C2×#344—611no—
377C2×#339—611no—
378C2×C61—21no—
379C2×C61—21no—
380C2×C61—21no—
381C2×C61—81no—
382C2×C61C2×#38811yescharacteristic
383D61—21no—
384D61—21no—
385D61—21no—
386D61—81no—
387D61#193212yescomplemented
388C22×#41—611no—
389C22×M16—611no—
390C22×M16—611no—
391C22×M16—611no—
392C22×M16—611no—
393C2×#117—611no—
394C22×C42—611no—
395#430—614no—
396#430—1222no—
397C2×#108—1222no—
398#421—612no—
399#421—612no—
400#421—1222no—
401C2×#104—612no—
402C2×#104—612no—
403C2×#104—1221no—
404C2×#104—1221no—
405C2×#104—1222no—
406C2×#104—1222no—
407#413—611no—
408#413—611no—
409#413—611no—
410#413—612no—
411#413—612no—
412#413#692311yescharacteristic, complemented
413C2×#101—612no—
414C2×#100—612no—
415C4×M16—614no—
416C4×M16—1222no—
417C2×#97—1221no—
418C2×C4×C8—1221no—
419#344—614no—
420#339—614no—
421C61C2×#193211yescharacteristic, complemented, Sylow
422C2×#41—611no—
423C2×#41—611no—
424C2×#41—611no—
425C2×#41—1221no—
426C2×#41—1221no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—1221no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1221no—
435C2×#41C2×#692311yescharacteristic
436C22×Q8—611no—
437C22×D4—611no—
438C22×D4—1221no—
439C23×C4—611no—
440C23×C4—1221no—
441C23×C4—1221no—
442C2×M16—612no—
443C2×M16—612no—
444C2×M16—612no—
445C2×M16—611no—
446C2×M16—611no—
447C2×M16—612no—
448C2×M16—612no—
449C2×M16—612no—
450C2×M16—612no—
451C2×M16—612no—
452C2×M16—1221no—
453C2×M16—1221no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16—1221no—
457C2×M16—1221no—
458C2×M16—1221no—
459C2×M16—1221no—
460C2×M16—1221no—
461C2×M16—1221no—
462C2×M16—1221no—
463C2×M16—1221no—
464C2×M16—1221no—
465C2×M16—1221no—
466C2×M16C2×#692311yescharacteristic
467C2×M16C2×#692311yescharacteristic
468C22×C8—1221no—
469C22×C8—1221no—
470C22×C8—1221no—
471C22×C8—1221no—
472#117—612no—
473#117—1221no—
474#117—1221no—
475#117—1221no—
476C2×C4⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—612no—
481C2×C42—612no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42—1221no—
485C2×C42—1221no—
486#108—1224no—
487#108—1224no—
488#104—1222no—
489#104—1222no—
490#104—1222no—
491#104—1222no—
492#104—1224no—
493#104—1224no—
494#101—612no—
495#101—612no—
496#101—612no—
497#101C2×#692312yescomplemented
498#100—612no—
499#100—612no—
500#100—612no—
501#100C2×#692312yescomplemented
502#97—1224no—
503C4×C8—1224no—
504C24—611no—
505C24—1221no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510#41—1221no—
511#41—1221no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41—1221no—
517#41—1221no—
518#41—1221no—
519#41—1221no—
520#41—1221no—
521#41—1221no—
522#41—2441no—
523#41—2441no—
524#41—2441no—
525#41—2441no—
526#41—2441no—
527#41—2441no—
528#41—2441no—
529#41—2441no—
530C2×Q8—611no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8—1221no—
536C2×Q8C22×#692311yescharacteristic
537C2×D4—21no—
538C2×D4—611no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—2441no—
548C2×D4—2441no—
549C2×D4—2441no—
550C2×D4—2441no—
551C2×D4C22×#692311yescharacteristic
552C22×C4—21no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—2441no—
575C22×C4—2441no—
576C22×C4—2441no—
577C22×C4—2441no—
578C22×C4—2444no—
579C22×C4—2441no—
580C22×C4C22×#692311yescharacteristic
581M16—21no—
582M16—21no—
583M16—614no—
584M16—612no—
585M16—612no—
586M16—1222no—
587M16—1222no—
588M16—1222no—
589M16—1222no—
590M16—1222no—
591M16—1222no—
592M16—1222no—
593M16—1221no—
594M16—1221no—
595M16—1222no—
596M16—1222no—
597M16—2441no—
598M16—2441no—
599M16C22×#692312yes—
600M16C22×#692312yes—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—1222no—
606C2×C8—1222no—
607C2×C8—1222no—
608C2×C8—1222no—
609C2×C8—1222no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1222no—
613C2×C8—2441no—
614C2×C8—2441no—
615C4⋊C4—1222no—
616C4⋊C4—2441no—
617C22⋊C4—1222no—
618C22⋊C4—2441no—
619C42—612no—
620C42—612no—
621C42—1222no—
622C42—1221no—
623C42—1221no—
624C42—1222no—
625C42—1222no—
626C42—2441no—
627C23—21no—
628C23—611no—
629C23—611no—
630C23—611no—
631C23—611no—
632C23—611no—
633C23—611no—
634C23—1221no—
635C23—4882no—
636C23—2441no—
637C23—2441no—
638C23—2442no—
639C23#1451985611yescharacteristic
640Q8—21no—
641Q8—21no—
642Q8—1221no—
643Q8—1221no—
644Q8—2441no—
645Q8—2441no—
646D4—21no—
647D4—21no—
648D4—41no—
649D4—41no—
650D4—1221no—
651D4—1221no—
652D4—2441no—
653D4—2441no—
654D4—2441no—
655D4—2441no—
656D4—2441no—
657D4—2441no—
658D4—2441no—
659D4—2441no—
660C2×C4—21no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—1222no—
686C2×C4—1224no—
687C2×C4—1222no—
688C2×C4—1221no—
689C2×C4—4882no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2444no—
697C2×C4—2444no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4#1451985611yescharacteristic
703C2×C4D4×#692311yescharacteristic
704C2×C4D4×#692311yescharacteristic
705C2×C4D4×#692311yescharacteristic
706C2×C4D4×#692311yescharacteristic
707C2×C4C23×#692311yescharacteristic
708C8—22no—
709C8—22no—
710C8—1224no—
711C8—1222no—
712C8—1222no—
713C8—2442no—
714C22—41no—
715C22—41no—
716C22—81no—
717C22—611no—
718C22—611no—
719C22—611no—
720C22—611no—
721C22—1222no—
722C22—1222no—
723C22—1222no—
724C22—4881no—
725C22—4882no—
726C22—4882no—
727C22—2441no—
728C22—2441no—
729C22—2441no—
730C22—2441no—
731C22#1684071211yescharacteristic
732C22#1684071211yescharacteristic
733C22C2×#1451985611yescharacteristic
734C4—41no—
735C4—611no—
736C4—611no—
737C4—611no—
738C4—611no—
739C4—1224no—
740C4—4882no—
741C4—2442no—
742C4—2441no—
743C4#1684071211yescharacteristic
744C4#1684071211yescharacteristic
745C4C2×D4×#692311yescharacteristic
746C4C2×D4×#692311yescharacteristic
747C2—21no—
748C2—21no—
749C2—21no—
750C2—81no—
751C2—612no—
752C2—1221no—
753C2—1221no—
754C2—1221no—
755C2—4881no—
756C2C2×#1684071211yescharacteristic
subgroupG/H
centerC4#16840712
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#413C4
socleC2×C61C2×#388
prime radicalC2×#41×D61C22
cosocleC2×C4×D61C24
hypercenter#413#6923
hypocenterC61C2×#1932
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #413

Complements

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

NH ≅ G/Ntype
1. D61⋊#430C2semidirect
4. C2×M16×#6923C2semidirect
5. #21461907C2semidirect
6. #21461906C2semidirect
7. #21461531C2semidirect
8. C2×#16840634C2semidirect
15. #16840777C22semidirect
27. M16×#6923C22semidirect
30. #16840645C22semidirect
31. #16840634C22semidirect
35. #16839746C4semidirect
37. #16839744C4semidirect
38. #16839744C4semidirect
40. #101×D61C4semidirect
41. #100×D61C4semidirect
42. C61×#413C4semidirect
114. #14519696C2×C4semidirect
115. #14519695C2×C4semidirect
116. #14519695C2×C4semidirect
117. #14519694C2×C4semidirect
118. #14519693C2×C4semidirect
119. #14519693C2×C4semidirect
123. #101×C61C2×C4semidirect
124. #100×C61C2×C4semidirect
387. D61#1932semidirect
412. #413#6923semidirect
421. C61C2×#1932semidirect
497. #101C2×#6923semidirect
501. #100C2×#6923semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4302
D61⋊#4212
C2×D61⋊#1042
C2×M16×#69232
#214619072
#214619062
#214615312
C2×#168406342
#413×D612
C2×#193261