Finite Group Databasebeta

← D61×#2081 #29708946

Subgroups — D61×#2081 #29708946

Order 15616.

1006 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#430×D61C211yesmaximal, characteristic, complemented
2#418×D61C211yesmaximal, characteristic
3#418×D61C211yesmaximal, characteristic
4C2×#100×D61C211yesmaximal, characteristic
5#21447282C211yesmaximal, characteristic, complemented
6#21447281C211yesmaximal, characteristic, complemented
7#21447280C211yesmaximal, characteristic, complemented
8#21447279C211yesmaximal, characteristic, complemented
9#21447278C211yesmaximal, characteristic, complemented
10#21447277C211yesmaximal, characteristic, complemented
11#21447276C211yesmaximal, characteristic, complemented
12#344×D61C211yesmaximal, characteristic, complemented
13#344×D61C211yesmaximal, characteristic, complemented
14H(3,ℤ/4)×D61C211yesmaximal, characteristic, complemented
15C61×#2081C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C2×M16×D61C2211yescharacteristic
18C2×M16×D61C2211yescharacteristic
19C2×M16×D61C2211yescharacteristic
20C2×M16×D61C2211yescharacteristic
21#117×D61C2211yescharacteristic
22#117×D61C2211yescharacteristic
23#16839811C2211yescharacteristic, complemented
24#16839810C2211yescharacteristic, complemented
25#16839810C2211yescharacteristic, complemented
26#16839809—22no—
27#108×D61—22no—
28#16839768C2211yescharacteristic
29#16839768C2211yescharacteristic
30#16839767C2211yescharacteristic
31#16839767C2211yescharacteristic
32#16839766C2211yescharacteristic
33#16839766C2211yescharacteristic
34#16839765—22no—
35#16839765—22no—
36#102×D61—22no—
37#102×D61—22no—
38C2×#14519694C2211yescharacteristic
39C2×#14519693C2211yescharacteristic
40C2×#14519693C2211yescharacteristic
41#100×D61—22no—
42#100×D61—22no—
43#16839534C2211yescharacteristic, complemented
44#16839534C2211yescharacteristic, complemented
45#16839533C2211yescharacteristic, complemented
46#16839533C2211yescharacteristic, complemented
47#16839532C2211yescharacteristic, complemented
48#16839532C2211yescharacteristic, complemented
49#16839519C2211yescharacteristic, complemented
50#16839518C2211yescharacteristic, complemented
51#16839518C2211yescharacteristic, complemented
52C61×#430C2211yescharacteristic, complemented
53C61×#418C2211yescharacteristic
54C61×#418C2211yescharacteristic
55C2×#100×C61C2211yescharacteristic
56C61×#344C2211yescharacteristic, complemented
57C61×#344C2211yescharacteristic, complemented
58C61×H(3,ℤ/4)C2211yescharacteristic, complemented
59C24×D61—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C2×D4×D61—21no—
63C2×D4×D61—21no—
64C2×D4×D61—21no—
65C2×D4×D61—21no—
66C2×D4×D61—21no—
67C2×D4×D61—21no—
68C2×D4×D61—21no—
69C2×D4×D61—21no—
70C2×D4×D61—21no—
71C2×D4×D61—21no—
72C2×D4×D61D412yes—
73C2×D4×D61D412yes—
74C22×C4×D61C2311yescharacteristic
75C2×#11758194C2311yescharacteristic
76C2×#11758194C2311yescharacteristic
77C2×#11758194C2311yescharacteristic
78C2×#11758194C2311yescharacteristic
79C2×#11758189—21no—
80C2×#11758189—21no—
81C2×#11758189—21no—
82C2×#11758189D412yes—
83M16×D61—21no—
84M16×D61—21no—
85M16×D61—21no—
86M16×D61—21no—
87M16×D61—21no—
88M16×D61—21no—
89M16×D61—21no—
90M16×D61—21no—
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×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61D412yes—
103#14519736C2311yescharacteristic
104#14519736C2311yescharacteristic
105#14519735—21no—
106#14519735—21no—
107#14519734—21no—
108#14519734—21no—
109#14519733—21no—
110#14519733—21no—
111C4⋊C4×D61—21no—
112C4⋊C4×D61—21no—
113C22⋊C4×D61—21no—
114C22⋊C4×D61—21no—
115C42×D61—21no—
116C42×D61—21no—
117#14519713—22no—
118#14519712—22no—
119#14519712—22no—
120#14519699—22no—
121#14519699—22no—
122#14519698—22no—
123#14519698—22no—
124#14519697—22no—
125#14519697—22no—
126#14519694—22no—
127#14519693—22no—
128#14519693—22no—
129C22×D4×C61C2311yescharacteristic
130C2×M16×C61C2311yescharacteristic
131C2×M16×C61C2311yescharacteristic
132C2×M16×C61C2311yescharacteristic
133C2×M16×C61C2311yescharacteristic
134#117×C61C2311yescharacteristic
135#117×C61C2311yescharacteristic
136#108×C61—22no—
137#102×C61—22no—
138#102×C61—22no—
139#100×C61—22no—
140C24×C61—21no—
141C23×D61—21no—
142C23×D61—22no—
143C23×D61—22no—
144C23×D61—41no—
145C23×D61—41no—
146C23×D61—41no—
147C23×D61—41no—
148C23×D61—84no—
149C23×D61#4111yescharacteristic
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—21no—
155C2×D4×C61C2×D412yes—
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—41no—
160C2×C22⋊D61—41no—
161C2×C22⋊D61—41no—
162C2×C22⋊D61—41no—
163C22×Dic61#4111yescharacteristic
164D4×D61—22no—
165D4×D61—22no—
166D4×D61—22no—
167D4×D61—22no—
168D4×D61—22no—
169D4×D61—22no—
170D4×D61—22no—
171D4×D61—22no—
172D4×D61—41no—
173D4×D61—41no—
174D4×D61—41no—
175D4×D61—41no—
176D4×D61—41no—
177D4×D61—41no—
178D4×D61—41no—
179D4×D61—41no—
180C2×D244—21no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244C2×D412yes—
186C2×C4×D61—41no—
187C2×C4×D61—41no—
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61C2×D411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61#4111yescharacteristic
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×D61#4111yescharacteristic
200M16×C61—21no—
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61C2×D412yes—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C22⋊C4×C61—21no—
215C22⋊C4×C61—21no—
216C42×C61—21no—
217C42×C61—21no—
218C22⋊Dic61—21no—
219C22⋊Dic61—21no—
220#11758198—41no—
221#11758198—41no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224#11758196—41no—
225#11758196—41no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—41no—
229C4×Dic61—41no—
230#11758194—21no—
231#11758194—21no—
232#11758194—21no—
233#11758194—21no—
234#11758194—21no—
235#11758194—21no—
236#11758194—21no—
237#11758194—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—21no—
241C2×#92418C2×D412yes—
242#11758189—22no—
243#11758189—22no—
244#11758189—41no—
245#11758189—41no—
246#11758189—41no—
247#11758189—41no—
248#11758189—41no—
249#11758189—41no—
250C8×D61—22no—
251C8×D61—22no—
252C8×D61—41no—
253C8×D61—41no—
254C8×D61—41no—
255C8×D61—41no—
256C8×D61—41no—
257C8×D61—41no—
258C23×C61—22no—
259C23×C61—41no—
260C23×C61—41no—
261C23×C61—82no—
262C23×C61C2×#4111yescharacteristic
263C22×D61—22no—
264C22×D61—42no—
265C22×D61—41no—
266C22×D61—41no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61—42no—
270C22×D61—42no—
271C22×D61—84no—
272C22×D61—84no—
273C22×D61—84no—
274C22×D61—84no—
275C22×D61—84no—
276C22×D61—84no—
277C22×D61—82no—
278C22×D61#12311yescharacteristic
279C22×D61#12311yescharacteristic
280C22×D61#12411yescharacteristic
281C22×D61#12411yescharacteristic
282C22×D61#12611yescharacteristic
283C22×D61#12611yescharacteristic
284D4×C61—22no—
285D4×C61—22no—
286D4×C61—41no—
287D4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C22⋊D61—42no—
297C22⋊D61—42no—
298C22⋊D61—42no—
299C22⋊D61—42no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61#12311yescharacteristic
303C2×Dic61#12311yescharacteristic
304C2×Dic61#12411yescharacteristic
305C2×Dic61#12411yescharacteristic
306C2×Dic61#12611yescharacteristic
307C2×Dic61#12611yescharacteristic
308D244—22no—
309D244—22no—
310D244—41no—
311D244—41no—
312C4×D61—82no—
313C4×D61—82no—
314C4×D61#12111yescharacteristic
315C4×D61#12111yescharacteristic
316C4×D61#12111yescharacteristic
317C4×D61#12111yescharacteristic
318C4×D61#12311yescharacteristic
319C4×D61#12311yescharacteristic
320C4×D61#12311yescharacteristic
321C4×D61#12311yescharacteristic
322C4×D61#12311yescharacteristic
323C4×D61#12311yescharacteristic
324C4×D61#12311yescharacteristic
325C4×D61#12311yescharacteristic
326C4×D61#12611yescharacteristic
327C4×D61#12611yescharacteristic
328C4×D61#12611yescharacteristic
329C4×D61#12611yescharacteristic
330C8×C61—22no—
331C8×C61—41no—
332C8×C61—41no—
333C8×C61—41no—
334#92418—22no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338C2×#2081—611nomaximal, Sylow
339C22×C61—41no—
340C22×C61—42no—
341C22×C61—82no—
342C22×C61—82no—
343C22×C61—82no—
344C22×C61C2×#12311yescharacteristic
345C22×C61C2×#12411yescharacteristic
346C22×C61C2×#12611yescharacteristic
347C2×D61—22no—
348C2×D61—22no—
349C2×D61—22no—
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—42no—
354C2×D61—84no—
355C2×D61—84no—
356C2×D61—84no—
357C2×D61—82no—
358C2×D61—82no—
359C2×D61—84no—
360C2×D61—82no—
361C2×D61#39711yescharacteristic
362C2×D61#39711yescharacteristic
363C2×D61#39711yescharacteristic
364C2×D61#39711yescharacteristic
365C4×C61—81no—
366C4×C61—81no—
367C4×C61C2×#12111yescharacteristic
368C4×C61C2×#12311yescharacteristic
369C4×C61C2×#12311yescharacteristic
370C4×C61C2×#12611yescharacteristic
371Dic61—81no—
372Dic61—81no—
373Dic61#39711yescharacteristic
374Dic61#39711yescharacteristic
375Dic61#39711yescharacteristic
376Dic61#39711yescharacteristic
377C2×#430—611no—
378C2×#418—611no—
379C2×#418—611no—
380C22×#100—611no—
381#2081—611no—
382#2081—611no—
383#2081—611no—
384#2081—611no—
385#2081—611no—
386#2081—611no—
387#2081—611no—
388#2081D6111yescharacteristic, direct product factor
389C2×#344—611no—
390C2×#344—611no—
391C2×H(3,ℤ/4)—611no—
392C2×C61—21no—
393C2×C61—21no—
394C2×C61—21no—
395C2×C61—82no—
396C2×C61C2×#39711yescharacteristic
397D61—21no—
398D61—21no—
399D61—21no—
400D61—82no—
401D61#208112yesdirect product factor
402C23×D4—611no—
403C22×M16—611no—
404C22×M16—611no—
405C22×M16—611no—
406C22×M16—611no—
407C2×#117—611no—
408C2×#117—611no—
409#430—611no—
410#430—611no—
411#430—611no—
412#430—1222no—
413#430C2×D6111yescharacteristic, complemented
414C2×#108—1222no—
415#418—611no—
416#418—611no—
417#418—611no—
418#418—611no—
419#418—611no—
420#418—611no—
421#418—1222no—
422#418—1222no—
423#418C2×D6111yescharacteristic
424#418C2×D6111yescharacteristic
425C2×#102—1222no—
426C2×#102—1222no—
427C2×#100—611no—
428C2×#100—611no—
429C2×#100—611no—
430C2×#100—1222no—
431C2×#100—1222no—
432C2×#100C2×D6111yescharacteristic
433#344—611no—
434#344—611no—
435#344—611no—
436#344—611no—
437#344—611no—
438#344—611no—
439#344C2×D6111yescharacteristic, complemented
440#344C2×D6111yescharacteristic, complemented
441H(3,ℤ/4)—611no—
442H(3,ℤ/4)—611no—
443H(3,ℤ/4)—611no—
444H(3,ℤ/4)C2×D6111yescharacteristic, complemented
445C61C2×#208111yescharacteristic, complemented, Sylow
446C25—1221no—
447C22×D4—612no—
448C22×D4—612no—
449C22×D4—611no—
450C22×D4—1221no—
451C22×D4—1221no—
452C22×D4—1221no—
453C22×D4—1221no—
454C22×D4—1221no—
455C22×D4—1221no—
456C22×D4—1221no—
457C22×D4—1221no—
458C22×D4—1221no—
459C22×D4—1221no—
460C22×D4—1221no—
461C22×D4C22×D6111yescharacteristic
462C23×C4—611no—
463C2×M16—611no—
464C2×M16—612no—
465C2×M16—611no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—1221no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1221no—
475C2×M16—1221no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16—1221no—
479C2×M16—1221no—
480C2×M16—1221no—
481C2×M16—1221no—
482C2×M16—1221no—
483C2×M16—1221no—
484C2×M16—1221no—
485C2×M16—1221no—
486C2×M16—1221no—
487C2×M16C22×D6111yescharacteristic
488C2×M16C22×D6111yescharacteristic
489C2×M16C22×D6111yescharacteristic
490C2×M16C22×D6111yescharacteristic
491C22×C8—612no—
492C22×C8—1221no—
493C22×C8—1221no—
494C22×C8—1221no—
495#117—611no—
496#117—611no—
497#117—1221no—
498#117—1221no—
499#117—1221no—
500#117—1221no—
501#117—1221no—
502#117—1221no—
503#117C22×D6111yescharacteristic
504#117C22×D6111yescharacteristic
505C2×C4⋊C4—1221no—
506C2×C4⋊C4—1221no—
507C2×C22⋊C4—1221no—
508C2×C22⋊C4—1221no—
509C2×C42—1221no—
510C2×C42—1221no—
511#108—22no—
512#108—1222no—
513#108—1222no—
514#108—1222no—
515#102—22no—
516#102—22no—
517#102—1222no—
518#102—1222no—
519#102—1222no—
520#102—1222no—
521#102—1222no—
522#102—1222no—
523#100—22no—
524#100—1222no—
525#100—1222no—
526#100—1222no—
527C24—21no—
528C24—611no—
529C24—1222no—
530C24—1222no—
531C24—1221no—
532C24—4884no—
533C24—2441no—
534C24—2441no—
535C24—2441no—
536C24—2441no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—612no—
543C2×D4—1222no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1222no—
547C2×D4—1222no—
548C2×D4—1222no—
549C2×D4—1222no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1221no—
554C2×D4—1221no—
555C2×D4—1221no—
556C2×D4—1221no—
557C2×D4—1221no—
558C2×D4—2441no—
559C2×D4—2441no—
560C2×D4—2441no—
561C2×D4—2441no—
562C2×D4—2441no—
563C2×D4—2441no—
564C2×D4—2441no—
565C2×D4—2441no—
566C2×D4—2441no—
567C2×D4—2441no—
568C2×D4—2441no—
569C2×D4—2441no—
570C2×D4D4×D6112yes—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—611no—
577C22×C4—611no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—611no—
581C22×C4—611no—
582C22×C4—611no—
583C22×C4—611no—
584C22×C4—2441no—
585C22×C4—2441no—
586C22×C4C23×D6111yescharacteristic
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—1222no—
596M16—1222no—
597M16—1221no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—2441no—
606M16—2441no—
607M16—2441no—
608M16—2441no—
609M16—2441no—
610M16—2441no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—612no—
615C2×C8—1222no—
616C2×C8—1222no—
617C2×C8—1221no—
618C2×C8—1221no—
619C2×C8—1221no—
620C2×C8—2441no—
621C2×C8—2441no—
622C2×C8—2441no—
623C2×C8—2441no—
624C2×C8—2441no—
625C2×C8—2441no—
626C2×C8D4×D6112yes—
627C4⋊C4—21no—
628C4⋊C4—21no—
629C4⋊C4—1221no—
630C4⋊C4—1221no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—1221no—
636C22⋊C4—1221no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—21no—
641C42—1221no—
642C42—1221no—
643C42—2441no—
644C42—2441no—
645C23—22no—
646C23—41no—
647C23—41no—
648C23—82no—
649C23—611no—
650C23—611no—
651C23—611no—
652C23—611no—
653C23—611no—
654C23—611no—
655C23—1222no—
656C23—4882no—
657C23—4884no—
658C23—4884no—
659C23—4884no—
660C23—4884no—
661C23—4884no—
662C23—4884no—
663C23—2442no—
664C23—2442no—
665C23—2442no—
666C23—2442no—
667C23—2442no—
668C23—2441no—
669C23—2441no—
670C23#41×D6111yescharacteristic
671D4—22no—
672D4—22no—
673D4—41no—
674D4—41no—
675D4—1222no—
676D4—1222no—
677D4—2442no—
678D4—2442no—
679D4—2442no—
680D4—2442no—
681D4—2441no—
682D4—2441no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—611no—
692C2×C4—611no—
693C2×C4—611no—
694C2×C4—611no—
695C2×C4—611no—
696C2×C4—611no—
697C2×C4—611no—
698C2×C4—611no—
699C2×C4—611no—
700C2×C4—611no—
701C2×C4—611no—
702C2×C4—611no—
703C2×C4—611no—
704C2×C4—611no—
705C2×C4—611no—
706C2×C4—611no—
707C2×C4—4882no—
708C2×C4—4882no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4C2×D4×D6111yescharacteristic
712C2×C4C2×D4×D6111yescharacteristic
713C2×C4#41×D6111yescharacteristic
714C2×C4#41×D6111yescharacteristic
715C2×C4#41×D6111yescharacteristic
716C2×C4#41×D6111yescharacteristic
717C8—22no—
718C8—41no—
719C8—41no—
720C8—41no—
721C8—1222no—
722C8—2441no—
723C8—2441no—
724C8—2441no—
725C22—41no—
726C22—42no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—611no—
731C22—611no—
732C22—611no—
733C22—611no—
734C22—1222no—
735C22—1222no—
736C22—1222no—
737C22—4882no—
738C22—4882no—
739C22—4882no—
740C22—4884no—
741C22—4884no—
742C22—4884no—
743C22—4884no—
744C22—2441no—
745C22—2441no—
746C22—2441no—
747C22—2442no—
748C22#123×D6111yescharacteristic
749C22#124×D6111yescharacteristic
750C22#126×D6111yescharacteristic
751C4—81no—
752C4—81no—
753C4—611no—
754C4—611no—
755C4—611no—
756C4—611no—
757C4—4881no—
758C4—4881no—
759C4#121×D6111yescharacteristic
760C4#123×D6111yescharacteristic
761C4#123×D6111yescharacteristic
762C4#126×D6111yescharacteristic
763C2—21no—
764C2—21no—
765C2—21no—
766C2—82no—
767C2—612no—
768C2—1221no—
769C2—1221no—
770C2—1221no—
771C2—4882no—
772C2#397×D6111yescharacteristic
subgroupG/H
centerC2#397×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2081C2
socleC2×C61C2×#397
prime radicalC22×D4×D61C22
hypercenter#2081D61
hypocenterC61C2×#2081
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2081

Complements

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

NH ≅ G/Ntype
1. #430×D61C2semidirect
5. #21447282C2semidirect
6. #21447281C2semidirect
7. #21447280C2semidirect
8. #21447279C2semidirect
9. #21447278C2semidirect
10. #21447277C2semidirect
11. #21447276C2semidirect
12. #344×D61C2semidirect
13. #344×D61C2semidirect
14. H(3,ℤ/4)×D61C2semidirect
15. C61×#2081C2semidirect
23. #16839811C22semidirect
24. #16839810C22semidirect
25. #16839810C22semidirect
43. #16839534C22semidirect
44. #16839534C22semidirect
45. #16839533C22semidirect
46. #16839533C22semidirect
47. #16839532C22semidirect
48. #16839532C22semidirect
49. #16839519C22semidirect
50. #16839518C22semidirect
51. #16839518C22semidirect
52. C61×#430C22semidirect
56. C61×#344C22semidirect
57. C61×#344C22semidirect
58. C61×H(3,ℤ/4)C22semidirect
388. #2081D61direct (N × H)
401. D61#2081direct (N × H)
413. #430C2×D61semidirect
439. #344C2×D61semidirect
440. #344C2×D61semidirect
444. H(3,ℤ/4)C2×D61semidirect
445. C61C2×#2081semidirect

Maximal subgroups

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

subgroupindex
#430×D612
#418×D612
C2×#100×D612
#214472822
#214472812
#214472802
#214472792
#214472782
#214472772
#214472762
#344×D612
H(3,ℤ/4)×D612
C61×#20812
C2×#208161