Finite Group Databasebeta

← D61×#1931 #29682548

Subgroups — D61×#1931 #29682548

Order 15616.

1154 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#428×D61C211yesmaximal, characteristic, complemented
2#418×D61C211yesmaximal, characteristic
3C2×#102×D61C211yesmaximal, characteristic
4C2×#100×D61C211yesmaximal, characteristic
5#405×D61C211yesmaximal, characteristic, complemented
6#21446484C211yesmaximal, characteristic, complemented
7#21446483C211yesmaximal, characteristic, complemented
8#21446482C211yesmaximal, characteristic, complemented
9#21446481C211yesmaximal, characteristic, complemented
10#21446480C211yesmaximal, characteristic, complemented
11#21446479C211yesmaximal, characteristic, complemented
12#21446478C211yesmaximal, characteristic, complemented
13#343×D61C211yesmaximal, characteristic, complemented
14#341×D61C211yesmaximal, characteristic, complemented
15C61×#1931C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C2×M16×D61C2211yescharacteristic
18C2×M16×D61C2211yescharacteristic
19C2×M16×D61C2211yescharacteristic
20C22×C8×D61C2211yescharacteristic
21#117×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23#16839805C2211yescharacteristic, complemented
24#16839804C2211yescharacteristic, complemented
25#16839803—21no—
26#16839802C2211yescharacteristic, complemented
27#16839801—21no—
28#107×D61—21no—
29#106×D61—21no—
30#16839768C2211yescharacteristic
31#16839767C2211yescharacteristic
32#16839766C2211yescharacteristic
33#16839765—21no—
34#16839765—21no—
35C2×#14519699C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519697C2211yescharacteristic
38#102×D61—21no—
39#102×D61—21no—
40#102×D61—21no—
41#102×D61—21no—
42#102×D61—21no—
43#102×D61—21no—
44C2×#14519694C2211yescharacteristic
45C2×#14519693C2211yescharacteristic
46C2×#14519693C2211yescharacteristic
47#100×D61C418yescomplemented
48#16839720C2211yescharacteristic, complemented
49#16839719—21no—
50#16839718C2211yescharacteristic, complemented
51#16839717C2211yescharacteristic, complemented
52#16839716—21no—
53#97×D61—21no—
54C4×C8×D61—21no—
55#16839531C2211yescharacteristic, complemented
56#16839530C2211yescharacteristic, complemented
57#16839530C2211yescharacteristic, complemented
58#16839527C2211yescharacteristic, complemented
59#16839526C2211yescharacteristic, complemented
60#16839526C2211yescharacteristic, complemented
61C61×#428C2211yescharacteristic, complemented
62C61×#418C2211yescharacteristic
63C2×#102×C61C2211yescharacteristic
64C2×#100×C61C2211yescharacteristic
65C61×#405C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#341C2211yescharacteristic, complemented
68C24×D61—21no—
69C22×D244C2311yescharacteristic
70C22×C22⋊D61—21no—
71C2×D4×D61—21no—
72C2×D4×D61—21no—
73C2×D4×D61—21no—
74C2×D4×D61—21no—
75C2×D4×D61—22no—
76C2×D4×D61—22no—
77C2×D4×D61—22no—
78C2×D4×D61C2×C414yes—
79C22×C4×D61—21no—
80C22×C4×D61C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C2×#11758194C2311yescharacteristic
84C2×#11758189—21no—
85C2×#11758189—21no—
86C2×#11758189—21no—
87M16×D61—22no—
88M16×D61—22no—
89M16×D61—22no—
90M16×D61—22no—
91M16×D61C2×C414yes—
92M16×D61C2×C414yes—
93C22×#92418C2311yescharacteristic
94C2×C8×D61—21no—
95C2×C8×D61—21no—
96C2×C8×D61—22no—
97C2×C8×D61—22no—
98C2×C8×D61—21no—
99C2×C8×D61D411yescharacteristic
100C2×C8×D61D411yescharacteristic
101C2×C8×D61D411yescharacteristic
102C2×C8×D61D411yescharacteristic
103#14519736C2311yescharacteristic
104#14519735D411yescharacteristic
105#14519735D411yescharacteristic
106#14519734—21no—
107#14519733—21no—
108C2×C4⋊Dic61C2311yescharacteristic
109C2×#11758196—21no—
110C4⋊C4×D61—21no—
111C4⋊C4×D61—21no—
112C4⋊C4×D61—21no—
113C4⋊C4×D61—21no—
114C4⋊C4×D61D411yescharacteristic
115C4⋊C4×D61D411yescharacteristic
116C22⋊C4×D61—21no—
117C42×D61—21no—
118#14519711—21no—
119#14519710—21no—
120#14519710—21no—
121#14519709—21no—
122#14519708—21no—
123#14519708—21no—
124#14519699—21no—
125#14519699—21no—
126#14519699—21no—
127#14519699—21no—
128#14519698—21no—
129#14519698—21no—
130#14519698—21no—
131#14519698—21no—
132#14519697—21no—
133#14519697—21no—
134#14519697—21no—
135#14519697—21no—
136#14519694C2×C414yescomplemented
137#14519693C2×C414yescomplemented
138#14519693C2×C414yescomplemented
139#14519688—21no—
140#14519687—21no—
141#14519687—21no—
142C4×#92418—21no—
143C8×Dic61—21no—
144C8×Dic61—21no—
145C22×D4×C61C2311yescharacteristic
146C2×M16×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C22×C8×C61C2311yescharacteristic
150#117×C61C2311yescharacteristic
151C2×C4⋊C4×C61C2311yescharacteristic
152#107×C61—21no—
153#106×C61—21no—
154#102×C61—21no—
155#102×C61—21no—
156#102×C61—21no—
157#102×C61—21no—
158#100×C61C2×C414yescomplemented
159#97×C61—21no—
160C4×C8×C61—21no—
161C24×C61—21no—
162C23×D61—21no—
163C23×D61—24no—
164C23×D61—41no—
165C23×D61—41no—
166C23×D61—42no—
167C23×D61—82no—
168C23×D61—82no—
169C23×D61#4111yescharacteristic
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—21no—
174C2×D4×C61—21no—
175C2×D4×C61C22×C412yes—
176C22×C4×C61—21no—
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—24no—
179C2×C22⋊D61—41no—
180C2×C22⋊D61—41no—
181C2×C22⋊D61—42no—
182C22×Dic61—21no—
183C22×Dic61#4111yescharacteristic
184D4×D61—24no—
185D4×D61—24no—
186D4×D61—24no—
187D4×D61—24no—
188D4×D61—42no—
189D4×D61—42no—
190D4×D61—42no—
191D4×D61—42no—
192C2×D244—21no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244C22×C412yes—
198C2×C4×D61—21no—
199C2×C4×D61—21no—
200C2×C4×D61—41no—
201C2×C4×D61—41no—
202C2×C4×D61—82no—
203C2×C4×D61C22×C412yes—
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61#4112yes—
209C2×C4×D61#4112yes—
210C2×C4×D61#4112yes—
211M16×C61—21no—
212M16×C61—21no—
213M16×C61—21no—
214M16×C61—21no—
215M16×C61C22×C412yes—
216M16×C61C22×C412yes—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61C2×D411yescharacteristic
223C2×C8×C61C2×D411yescharacteristic
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C22⋊C4×C61—21no—
229C42×C61—21no—
230C22⋊Dic61—21no—
231#11758198—21no—
232#11758198—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61—21no—
235C4⋊Dic61C2×D411yescharacteristic
236C4⋊Dic61C2×D411yescharacteristic
237#11758196—21no—
238#11758196—21no—
239#11758196—41no—
240#11758196—41no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244#11758194—21no—
245#11758194—21no—
246#11758194—21no—
247#11758194—21no—
248#11758194C22×C412yes—
249#11758194C22×C412yes—
250C2×#92418—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418C2×D411yescharacteristic
256C2×#92418C2×D411yescharacteristic
257#11758189—24no—
258#11758189—24no—
259#11758189—42no—
260C8×D61—24no—
261C8×D61—24no—
262C8×D61—22no—
263C8×D61—22no—
264C8×D61—22no—
265C8×D61—22no—
266C8×D61—42no—
267C23×C61—22no—
268C23×C61—41no—
269C23×C61—41no—
270C23×C61—81no—
271C23×C61—81no—
272C23×C61C2×#4111yescharacteristic
273C22×D61—22no—
274C22×D61—22no—
275C22×D61—22no—
276C22×D61—41no—
277C22×D61—41no—
278C22×D61—44no—
279C22×D61—44no—
280C22×D61—82no—
281C22×D61—82no—
282C22×D61—88no—
283C22×D61—88no—
284C22×D61—82no—
285C22×D61—82no—
286C22×D61—81no—
287C22×D61—81no—
288C22×D61#11712yes—
289C22×D61#12111yescharacteristic
290C22×D61#12111yescharacteristic
291C22×D61#12612yes—
292D4×C61—22no—
293D4×C61—22no—
294D4×C61—41no—
295D4×C61—41no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—41no—
299C2×C4×C61—81no—
300C2×C4×C61C23×C411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61C2×#4111yescharacteristic
306C22⋊D61—44no—
307C22⋊D61—44no—
308C2×Dic61—21no—
309C2×Dic61—21no—
310C2×Dic61—41no—
311C2×Dic61—81no—
312C2×Dic61#11712yes—
313C2×Dic61#12111yescharacteristic
314C2×Dic61#12111yescharacteristic
315C2×Dic61#12612yes—
316D244—22no—
317D244—22no—
318D244—41no—
319D244—41no—
320C4×D61—42no—
321C4×D61—42no—
322C4×D61—82no—
323C4×D61—82no—
324C4×D61C4×D412yes—
325C4×D61C4×D412yes—
326C4×D61C4×D412yes—
327C4×D61C4×D412yes—
328C4×D61#12312yes—
329C4×D61#12312yes—
330C4×D61#12412yes—
331C4×D61#12412yes—
332C8×C61—22no—
333C8×C61—22no—
334C8×C61—21no—
335C8×C61—21no—
336C8×C61—41no—
337#92418—22no—
338#92418—22no—
339#92418—21no—
340#92418—21no—
341#92418—41no—
342C2×#1931—611nomaximal, Sylow
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—42no—
346C22×C61—82no—
347C22×C61—82no—
348C22×C61—81no—
349C22×C61—81no—
350C22×C61C2×#11711yescharacteristic
351C22×C61C2×#12111yescharacteristic
352C22×C61C2×#12611yescharacteristic
353C2×D61—21no—
354C2×D61—21no—
355C2×D61—24no—
356C2×D61—24no—
357C2×D61—42no—
358C2×D61—88no—
359C2×D61—82no—
360C2×D61—81no—
361C2×D61—81no—
362C2×D61—88no—
363C2×D61—82no—
364C2×D61#38812yes—
365C2×D61#38812yes—
366C2×D61#47112yes—
367C2×D61#47212yes—
368C4×C61—41no—
369C4×C61—41no—
370C4×C61—81no—
371C4×C61C2×C4×D411yescharacteristic
372C4×C61C2×C4×D411yescharacteristic
373C4×C61C2×#12311yescharacteristic
374C4×C61C2×#12411yescharacteristic
375Dic61—41no—
376Dic61—41no—
377Dic61—81no—
378Dic61#38812yes—
379Dic61#38812yes—
380C2×#428—611no—
381C2×#418—611no—
382C22×#102—611no—
383C22×#100—611no—
384C2×#405—611no—
385#1931—611no—
386#1931—611no—
387#1931—611no—
388#1931—611no—
389#1931—611no—
390#1931—611no—
391#1931—611no—
392#1931D6111yescharacteristic, direct product factor
393C2×#343—611no—
394C2×#341—611no—
395C2×C61—21no—
396C2×C61—21no—
397C2×C61—82no—
398C2×C61C2×#38811yescharacteristic
399C2×C61C2×#47111yescharacteristic
400C2×C61C2×#47211yescharacteristic
401D61—22no—
402D61—82no—
403D61#193114yesdirect product factor
404C23×D4—611no—
405C22×M16—611no—
406C22×M16—611no—
407C22×M16—611no—
408C23×C8—611no—
409C2×#117—611no—
410C22×C4⋊C4—611no—
411#428—611no—
412#428—611no—
413#428—611no—
414#428—1221no—
415#428—1221no—
416#428C2×D6111yescharacteristic, complemented
417C2×#107—1221no—
418C2×#106—1221no—
419#418—611no—
420#418—611no—
421#418—611no—
422#418—1221no—
423#418—1221no—
424#418C2×D6111yescharacteristic
425C2×#102—611no—
426C2×#102—611no—
427C2×#102—611no—
428C2×#102—1221no—
429C2×#102—1221no—
430C2×#102—1221no—
431C2×#102—1221no—
432C2×#102—1221no—
433C2×#102—1221no—
434C2×#102C2×D6111yescharacteristic
435C2×#100—611no—
436C2×#100—611no—
437C2×#100—611no—
438C2×#100—618no—
439C2×#100C2×D6111yescharacteristic
440#405—611no—
441#405—611no—
442#405—611no—
443#405—1221no—
444#405—1221no—
445#405C2×D6111yescharacteristic, complemented
446C2×#97—1221no—
447C2×C4×C8—1221no—
448#343—611no—
449#343—611no—
450#343—611no—
451#343C2×D6111yescharacteristic, complemented
452#341—611no—
453#341—611no—
454#341—611no—
455#341C2×D6111yescharacteristic, complemented
456C61C2×#193111yescharacteristic, complemented, Sylow
457C25—1221no—
458C22×D4—614no—
459C22×D4—611no—
460C22×D4—1222no—
461C22×D4—1222no—
462C22×D4—1221no—
463C22×D4—1221no—
464C22×D4—1221no—
465C22×D4—1221no—
466C22×D4—1222no—
467C22×D4—1221no—
468C22×D4C22×D6111yescharacteristic
469C23×C4—611no—
470C23×C4—1221no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—614no—
474C2×M16—614no—
475C2×M16—611no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16—1221no—
479C2×M16—1222no—
480C2×M16—1222no—
481C2×M16—1222no—
482C2×M16—1222no—
483C2×M16C22×D6111yescharacteristic
484C2×M16C22×D6111yescharacteristic
485C2×M16C22×D6111yescharacteristic
486C22×C8—611no—
487C22×C8—611no—
488C22×C8—611no—
489C22×C8—611no—
490C22×C8—611no—
491C22×C8—1222no—
492C22×C8—1222no—
493C22×C8—1221no—
494C22×C8—1221no—
495C22×C8—1221no—
496C22×C8C22×D6111yescharacteristic
497#117—611no—
498#117—611no—
499#117—611no—
500#117—1221no—
501#117—1221no—
502#117C22×D6111yescharacteristic
503C2×C4⋊C4—611no—
504C2×C4⋊C4—611no—
505C2×C4⋊C4—611no—
506C2×C4⋊C4—1221no—
507C2×C4⋊C4—1221no—
508C2×C4⋊C4—1221no—
509C2×C4⋊C4—1221no—
510C2×C4⋊C4—1221no—
511C2×C4⋊C4C22×D6111yescharacteristic
512C2×C22⋊C4—1221no—
513C2×C42—1221no—
514#107—21no—
515#107—1221no—
516#107—1221no—
517#107—1221no—
518#106—21no—
519#106—1221no—
520#106—1221no—
521#106—1221no—
522#102—21no—
523#102—21no—
524#102—21no—
525#102—21no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102—1221no—
533#102—1221no—
534#102—1221no—
535#102—1221no—
536#102—1221no—
537#102—1221no—
538#100—614no—
539#100—614no—
540#100—614no—
541#100C4×D6114yescomplemented
542#97—21no—
543#97—1221no—
544#97—1221no—
545#97—1221no—
546C4×C8—21no—
547C4×C8—1221no—
548C4×C8—1221no—
549C4×C8—1221no—
550C24—21no—
551C24—611no—
552C24—1224no—
553C24—1221no—
554C24—4882no—
555C24—4882no—
556C24—2441no—
557C24—2441no—
558C24—2442no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—612no—
565C2×D4—1224no—
566C2×D4—1224no—
567C2×D4—1224no—
568C2×D4—1224no—
569C2×D4—1224no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—2442no—
576C2×D4—2442no—
577C2×D4—2442no—
578C2×D4—2442no—
579C2×D4—2441no—
580C2×D4—2441no—
581C2×D4—2442no—
582C2×D4C2×C4×D6112yes—
583C22×C4—21no—
584C22×C4—611no—
585C22×C4—612no—
586C22×C4—611no—
587C22×C4—611no—
588C22×C4—611no—
589C22×C4—611no—
590C22×C4—612no—
591C22×C4—612no—
592C22×C4—612no—
593C22×C4—1221no—
594C22×C4—1221no—
595C22×C4—1221no—
596C22×C4—4882no—
597C22×C4—2441no—
598C22×C4—2441no—
599C22×C4C23×D6111yescharacteristic
600M16—21no—
601M16—21no—
602M16—21no—
603M16—21no—
604M16—612no—
605M16—612no—
606M16—1224no—
607M16—1224no—
608M16—1221no—
609M16—1221no—
610M16—1221no—
611M16—1221no—
612M16—2442no—
613M16C2×C4×D6112yes—
614M16C2×C4×D6112yes—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—611no—
621C2×C8—611no—
622C2×C8—1222no—
623C2×C8—1222no—
624C2×C8—1222no—
625C2×C8—1222no—
626C2×C8—1224no—
627C2×C8—1224no—
628C2×C8—1221no—
629C2×C8—1221no—
630C2×C8—1221no—
631C2×C8—1221no—
632C2×C8—1221no—
633C2×C8—2442no—
634C2×C8D4×D6111yescharacteristic
635C2×C8D4×D6111yescharacteristic
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—611no—
639C4⋊C4—611no—
640C4⋊C4—1221no—
641C4⋊C4—1221no—
642C4⋊C4—1221no—
643C4⋊C4—1221no—
644C4⋊C4—2441no—
645C4⋊C4—2441no—
646C4⋊C4D4×D6111yescharacteristic
647C4⋊C4D4×D6111yescharacteristic
648C22⋊C4—21no—
649C22⋊C4—1221no—
650C22⋊C4—1221no—
651C22⋊C4—1221no—
652C42—21no—
653C42—1221no—
654C42—1221no—
655C42—1221no—
656C23—22no—
657C23—41no—
658C23—41no—
659C23—81no—
660C23—81no—
661C23—611no—
662C23—612no—
663C23—611no—
664C23—612no—
665C23—1222no—
666C23—1222no—
667C23—1222no—
668C23—4881no—
669C23—4881no—
670C23—4882no—
671C23—4882no—
672C23—4888no—
673C23—4888no—
674C23—4882no—
675C23—4882no—
676C23—2444no—
677C23—2444no—
678C23—2441no—
679C23—2441no—
680C23#41×D6111yescharacteristic
681D4—22no—
682D4—22no—
683D4—41no—
684D4—41no—
685D4—1222no—
686D4—1222no—
687D4—2444no—
688D4—2444no—
689D4—2441no—
690D4—2441no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—41no—
694C2×C4—81no—
695C2×C4—612no—
696C2×C4—611no—
697C2×C4—611no—
698C2×C4—612no—
699C2×C4—612no—
700C2×C4—612no—
701C2×C4—612no—
702C2×C4—612no—
703C2×C4—612no—
704C2×C4—612no—
705C2×C4—612no—
706C2×C4—612no—
707C2×C4—1221no—
708C2×C4—1221no—
709C2×C4—4882no—
710C2×C4—4882no—
711C2×C4—4881no—
712C2×C4—2442no—
713C2×C4—2442no—
714C2×C4—2441no—
715C2×C4C22×C4×D6111yescharacteristic
716C2×C4C2×D4×D6111yescharacteristic
717C2×C4C2×D4×D6111yescharacteristic
718C2×C4#41×D6111yescharacteristic
719C2×C4#41×D6111yescharacteristic
720C2×C4#41×D6111yescharacteristic
721C8—22no—
722C8—22no—
723C8—21no—
724C8—21no—
725C8—41no—
726C8—1222no—
727C8—1222no—
728C8—1221no—
729C8—1221no—
730C8—2441no—
731C22—21no—
732C22—21no—
733C22—42no—
734C22—82no—
735C22—82no—
736C22—81no—
737C22—81no—
738C22—612no—
739C22—612no—
740C22—612no—
741C22—612no—
742C22—1224no—
743C22—1224no—
744C22—1221no—
745C22—1221no—
746C22—4882no—
747C22—4882no—
748C22—4888no—
749C22—4888no—
750C22—4881no—
751C22—4881no—
752C22—2442no—
753C22#117×D6111yescharacteristic
754C22#121×D6111yescharacteristic
755C22#126×D6111yescharacteristic
756C4—41no—
757C4—41no—
758C4—81no—
759C4—612no—
760C4—612no—
761C4—4881no—
762C4—2441no—
763C4—2441no—
764C4C4×D4×D6111yescharacteristic
765C4C4×D4×D6111yescharacteristic
766C4#123×D6111yescharacteristic
767C4#124×D6111yescharacteristic
768C2—21no—
769C2—21no—
770C2—82no—
771C2—614no—
772C2—1222no—
773C2—4882no—
774C2#388×D6111yescharacteristic
775C2#471×D6111yescharacteristic
776C2#472×D6111yescharacteristic
subgroupG/H
centerC22#121×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1931C2
socleC22×C61C2×#121
prime radicalC22×D4×D61C22
cosocleC22×C4×C61C24
hypercenter#1931D61
hypocenterC61C2×#1931
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
1. #428×D61C2semidirect
5. #405×D61C2semidirect
6. #21446484C2semidirect
7. #21446483C2semidirect
8. #21446482C2semidirect
9. #21446481C2semidirect
10. #21446480C2semidirect
11. #21446479C2semidirect
12. #21446478C2semidirect
13. #343×D61C2semidirect
14. #341×D61C2semidirect
15. C61×#1931C2semidirect
23. #16839805C22semidirect
24. #16839804C22semidirect
26. #16839802C22semidirect
47. #100×D61C4semidirect
48. #16839720C22semidirect
50. #16839718C22semidirect
51. #16839717C22semidirect
55. #16839531C22semidirect
56. #16839530C22semidirect
57. #16839530C22semidirect
58. #16839527C22semidirect
59. #16839526C22semidirect
60. #16839526C22semidirect
61. C61×#428C22semidirect
65. C61×#405C22semidirect
66. C61×#343C22semidirect
67. C61×#341C22semidirect
136. #14519694C2×C4semidirect
137. #14519693C2×C4semidirect
138. #14519693C2×C4semidirect
158. #100×C61C2×C4semidirect
392. #1931D61direct (N × H)
403. D61#1931direct (N × H)
416. #428C2×D61semidirect
445. #405C2×D61semidirect
451. #343C2×D61semidirect
455. #341C2×D61semidirect
456. C61C2×#1931semidirect
541. #100C4×D61semidirect

Maximal subgroups

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

subgroupindex
#428×D612
#418×D612
C2×#102×D612
C2×#100×D612
#405×D612
#214464842
#214464832
#214464822
#214464812
#214464802
#214464792
#214464782
#343×D612
#341×D612
C61×#19312
C2×#193161