Finite Group Databasebeta

← #30622229

Subgroups — #30622229

Order 15616.

892 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840805C211yesmaximal, characteristic, complemented
2#21462554C211yesmaximal, characteristic, complemented
3#21462550C211yesmaximal, characteristic, complemented
4C2×D61⋊#108C211yesmaximal, characteristic, complemented
5#21461971C211yesmaximal, characteristic, complemented
6#21461926C211yesmaximal, characteristic, complemented
7#21461903C211yesmaximal, characteristic, complemented
8#21461900C211yesmaximal, characteristic, complemented
9#21461803C211yesmaximal, characteristic, complemented
10#21461801C211yesmaximal, characteristic, complemented
11#21461787C211yesmaximal, characteristic, complemented
12#21461786C211yesmaximal, characteristic, complemented
13#21461622C211yesmaximal, characteristic, complemented
14C8×C22⋊#6923C211yesmaximal, characteristic, complemented
15#21455395C211yesmaximal, characteristic
16C2×#14519865C2211yescharacteristic
17C2×#14519864C2211yescharacteristic
18C2×D61⋊M16C2211yescharacteristic
19C2×D61⋊M16C2211yescharacteristic
20#16840805—24no—
21#16840797—21no—
22#16840795—21no—
23#16840794—21no—
24#16840794—21no—
25#16840793—21no—
26#16840792—21no—
27#16840790—21no—
28#16840789—21no—
29C2×#14519848C2211yescharacteristic
30C2×#14519848C2211yescharacteristic
31D61⋊#108—24no—
32C2×#14519847C2211yescharacteristic
33C2×#14519847C2211yescharacteristic
34#16840769C2211yescharacteristic
35#16840769C2211yescharacteristic
36C2×#14519842C2211yescharacteristic
37C2×#14519842C2211yescharacteristic
38C2×#14519841C2211yescharacteristic
39C2×#14519841C2211yescharacteristic
40#16840737C2211yescharacteristic
41#16840736C2211yescharacteristic
42D61⋊(C22⋊C8)C2211yescharacteristic
43#16840727C2211yescharacteristic
44#16840727C2211yescharacteristic
45C2×C8×#6923C2211yescharacteristic
46C2×C8×#6923C2211yescharacteristic
47C4×C22⋊#6923C2211yescharacteristic
48#16840632C2211yescharacteristic
49#16840632C2211yescharacteristic
50#16840632C2211yescharacteristic
51#16840632C2211yescharacteristic
52(C2×#6923)⋊C8C2211yescharacteristic
53(C2×#6923)⋊C8C2211yescharacteristic
54C2×#14519798C2211yescharacteristic
55C22×C8×D61C2211yescharacteristic
56#16840275C2211yescharacteristic
57#16840272C2211yescharacteristic
58#16840002C411yescharacteristic, complemented
59#16840001C411yescharacteristic, complemented
60#16839997C411yescharacteristic, complemented
61#16839996C411yescharacteristic, complemented
62#16839992C411yescharacteristic, complemented
63#16839991C411yescharacteristic, complemented
64#16839988C411yescharacteristic, complemented
65#16839797C2211yescharacteristic
66#16839757C2211yescharacteristic
67#16839755C2211yescharacteristic
68C61×#465C411yescharacteristic, complemented
69#14519865—22no—
70#14519865—41no—
71#14519864—22no—
72#14519864—41no—
73C2×#11758213—21no—
74C2×#11758213C2311yescharacteristic
75C2×#11758213C2311yescharacteristic
76C2×#11758213C2311yescharacteristic
77C2×#11758213C2311yescharacteristic
78D61⋊M16—22no—
79D61⋊M16—22no—
80D61⋊M16—41no—
81D61⋊M16—41no—
82C2×#11758217—21no—
83C2×#11758217—21no—
84C2×#11758217—21no—
85C2×D61⋊C8—21no—
86C2×D61⋊C8—21no—
87C2×D61⋊C8—21no—
88C2×D61⋊C8C2311yescharacteristic
89C2×D61⋊C8C2311yescharacteristic
90C22×#92420—21no—
91C2×C22⋊#6923—21no—
92C2×C4×#6923C2311yescharacteristic
93C2×C4×#6923C2311yescharacteristic
94#14519848—22no—
95#14519848—22no—
96#14519847—22no—
97#14519847D414yescomplemented
98#14519844—21no—
99#14519844—21no—
100C4⋊#92420—21no—
101C4⋊#92420—21no—
102#14519842—22no—
103#14519842—41no—
104#14519841—22no—
105#14519841—41no—
106#14519834—21no—
107#14519834—21no—
108#14519834D411yescharacteristic
109#14519834D411yescharacteristic
110C22⋊#92420—21no—
111C22⋊#92420—21no—
112C22⋊#92420D411yescharacteristic
113C22⋊#92420D411yescharacteristic
114#14519832—21no—
115#14519832—21no—
116C4×#92420—21no—
117C4×#92420—21no—
118C8×#6923—22no—
119C8×#6923—22no—
120(C2×#6923)⋊C4—21no—
121C2×#11758226C2311yescharacteristic
122C2×#11758224C2311yescharacteristic
123C22×C4×D61C2311yescharacteristic
124#14519798—22no—
125#14519798—22no—
126C2×#11758202C2×C411yescharacteristic
127C2×#11758190C2×C411yescharacteristic
128C2×#11758199C2×C411yescharacteristic
129C22×#92418C2×C411yescharacteristic
130C2×C8×D61—22no—
131C2×C8×D61—22no—
132C2×C8×D61C2×C411yescharacteristic
133C2×C8×D61C2×C411yescharacteristic
134C2×C8×D61C2311yescharacteristic
135C2×C8×D61C2311yescharacteristic
136#14519762—21no—
137#14519759—21no—
138#14519757C2×C411yescharacteristic
139#14519756C2×C411yescharacteristic
140#14519753C2×C411yescharacteristic
141#14519752C2×C411yescharacteristic
142#14519751C2×C411yescharacteristic
143#14519748C2×C411yescharacteristic
144#14519747—21no—
145#14519745—21no—
146D4×Dic61—21no—
147#14519739—21no—
148#14519737—21no—
149#14519737—21no—
150#14519735C2311yescharacteristic
151#14519735C2311yescharacteristic
152#14519710C2×C411yescharacteristic
153#14519710C2×C411yescharacteristic
154#14519709C2×C411yescharacteristic
155#14519702C2×C411yescharacteristic
156#14519701C2×C411yescharacteristic
157#14519700C2×C411yescharacteristic
158#14519699C2×C411yescharacteristic
159#14519698C2×C411yescharacteristic
160#14519697C2×C411yescharacteristic
161C2×SD16×C61C2×C411yescharacteristic
162C22×C8×C61C2×C411yescharacteristic
163C22⋊Q8×C61C2×C411yescharacteristic
164#121×C61C2×C411yescharacteristic
165#106×C61C2×C411yescharacteristic
166#103×C61C2×C411yescharacteristic
167#102×C61C2×C411yescharacteristic
168C23×D61#4111yescharacteristic
169C22×#6923—21no—
170C22×#6923—21no—
171C2×Q8×C61C22×C411yescharacteristic
172C2×D4×C61—21no—
173C2×D4×C61C22×C411yescharacteristic
174C22×C4×C61C22×C411yescharacteristic
175C2×C22⋊D61—21no—
176C2×C22⋊D61—21no—
177C2×C22⋊D61—21no—
178C22×Dic61—21no—
179C22×Dic61C2×D411yescharacteristic
180#11758226—21no—
181#11758226—21no—
182#11758226—21no—
183#11758226—21no—
184#11758224—21no—
185#11758224—21no—
186#11758224—21no—
187#11758224—21no—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244C22×C411yescharacteristic
191C2×C4×D61—21no—
192C2×C4×D61—21no—
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—21no—
196C2×C4×D61C22×C411yescharacteristic
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61#4111yescharacteristic
199C2×C4×D61C2411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201C22⋊#6923—24no—
202#11758217—42no—
203#11758217—42no—
204#11758217—42no—
205C2×#92420—21no—
206C2×#92420—21no—
207C2×#92420—21no—
208C2×#92420—21no—
209C2×#92420—42no—
210C2×#92420C2×D411yescharacteristic
211C2×#92420C2×D411yescharacteristic
212C2×#92420C2×D411yescharacteristic
213C2×#92420C2×D411yescharacteristic
214C4×#6923—21no—
215C4×#6923—21no—
216C4×#6923—21no—
217C4×#6923—21no—
218#11758213—21no—
219#11758213—21no—
220#11758213—21no—
221#11758213—21no—
222#11758213—21no—
223#11758213—21no—
224#11758213—42no—
225#11758213C2×D412yes—
226#11758213C2×D412yes—
227D61⋊C8—21no—
228D61⋊C8—21no—
229D61⋊C8—21no—
230D61⋊C8—21no—
231D61⋊C8—42no—
232D61⋊C8—42no—
233D61⋊C8—42no—
234SD16×C61—22no—
235C2×C8×C61—22no—
236C2×C8×C61C22×C411yescharacteristic
237C2×C8×C61C22×C411yescharacteristic
238C4⋊C4×C61—21no—
239C4⋊C4×C61C22×C411yescharacteristic
240C4⋊C4×C61C22×C411yescharacteristic
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C22⋊Dic61—21no—
244C22⋊Dic61—21no—
245#11758202—22no—
246#11758199—22no—
247#11758198—21no—
248#11758198—21no—
249#11758198—21no—
250#11758198—21no—
251#11758198—21no—
252#11758198—21no—
253C4⋊Dic61—21no—
254C4⋊Dic61C22×C411yescharacteristic
255C4⋊Dic61C22×C411yescharacteristic
256#11758196—21no—
257#11758196—21no—
258C4×Dic61—21no—
259C4×Dic61—21no—
260C2×#92418—22no—
261C2×#92418C22×C411yescharacteristic
262C2×#92418C22×C411yescharacteristic
263#11758190—22no—
264C8×D61—21no—
265C8×D61—21no—
266C8×D61—22no—
267C8×D61—22no—
268C8×D61C2×D412yes—
269C8×D61#4112yes—
270C23×C61—21no—
271C23×C61C4×D411yescharacteristic
272C22×D61—21no—
273C22×D61—21no—
274C22×D61—22no—
275C22×D61—21no—
276C22×D61—41no—
277C22×D61C4×D411yescharacteristic
278C22×D61C2×#4111yescharacteristic
279C2×#6923—22no—
280C2×#6923—22no—
281C2×#6923—41no—
282C2×#6923—41no—
283C2×#6923—41no—
284C2×#6923—41no—
285Q8×C61—21no—
286Q8×C61—21no—
287D4×C61—21no—
288D4×C61—21no—
289D4×C61—81no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61C4×D411yescharacteristic
296C2×C4×C61C23×C411yescharacteristic
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—42no—
300C22⋊D61—81no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61C4×D411yescharacteristic
309C2×Dic61C22×D411yescharacteristic
310D244—21no—
311D244—21no—
312D244—41no—
313D244—41no—
314D244—42no—
315C4×D61—21no—
316C4×D61—21no—
317C4×D61—21no—
318C4×D61—21no—
319C4×D61—21no—
320C4×D61—21no—
321C4×D61—41no—
322C4×D61—41no—
323C4×D61C22×D411yescharacteristic
324C4×D61C2×#4111yescharacteristic
325C4×D61H(5,𝔽2)11yescharacteristic
326C4×D612−1+411yescharacteristic
327Dic122—21no—
328Dic122—21no—
329#92420—21no—
330#92420—21no—
331#92420—22no—
332#92420—22no—
333#92420—21no—
334#92420—21no—
335#92420—41no—
336#92420—41no—
337C8×C61—21no—
338C8×C61C4×D412yes—
339#92418—21no—
340#92418C4×D412yes—
341#23018—611nomaximal, Sylow
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61C2×C4×D411yescharacteristic
349C2×D61—21no—
350C2×D61—21no—
351C2×D61—21no—
352C2×D61—21no—
353C2×D61—42no—
354C2×D61—42no—
355C2×D61—41no—
356C2×D61—41no—
357C2×D61—41no—
358C2×D61#44312yescomplemented
359C2×D61#54811yescharacteristic
360C2×D61#55311yescharacteristic
361#6923—42no—
362#6923—42no—
363C4×C61—21no—
364C4×C61—41no—
365C4×C61—41no—
366C4×C61—41no—
367C4×C61C2×C4×D411yescharacteristic
368C4×C61#52011yescharacteristic
369Dic61—21no—
370Dic61—41no—
371Dic61—41no—
372Dic61—41no—
373Dic61D4211yescharacteristic
374Dic61#54711yescharacteristic
375#3050—611no—
376C2×#443—611no—
377#2933—611no—
378#2933—611no—
379C22×#108—611no—
380#1974—611no—
381#1945—611no—
382#1929—611no—
383#1929—611no—
384#1871—611no—
385#1871—611no—
386#1866—611no—
387#1866—611no—
388#1772—611no—
389C8×C22⋊C4—611no—
390C2×C61—41no—
391C2×C61—81no—
392C2×C61#236111yescharacteristic
393C2×C61C2×#44311yescharacteristic
394C2×C61#295711yescharacteristic
395D61—21no—
396D61—21no—
397D61—22no—
398D61—81no—
399C2×#135—611no—
400C2×#131—611no—
401C2×#131—611no—
402C22×M16—611no—
403C22×M16—611no—
404C23×C8—611no—
405#525—611no—
406#525—611no—
407#467—611no—
408#467—611no—
409#466—611no—
410#466—611no—
411#465—611no—
412#465—611no—
413#465—611no—
414#465#692311yescharacteristic, complemented
415#443—1224no—
416#436—1221no—
417#436—1221no—
418#435—1221no—
419#435—1221no—
420#435—1221no—
421#435—1221no—
422C8×D4—1221no—
423C8×D4—1221no—
424C2×#108—611no—
425C2×#108—611no—
426C2×#108—611no—
427C2×#108—611no—
428C2×#108—1224no—
429#427—611no—
430#424—611no—
431#424—611no—
432C2×#104—611no—
433C2×#104—611no—
434C2×#104—611no—
435C2×#104—611no—
436#416—611no—
437#416—611no—
438#408—611no—
439#408—611no—
440C2×C22⋊C8—611no—
441#405—611no—
442#405—611no—
443C2×C4×C8—611no—
444C2×C4×C8—611no—
445C4×C22⋊C4—611no—
446#339—611no—
447#339—611no—
448#339—611no—
449#339—611no—
450#336—611no—
451#336—611no—
452C61#2301811yescharacteristic, complemented, Sylow
453C2×#41—611no—
454C2×#41—611no—
455C23×C4—611no—
456#135—1222no—
457#135—1222no—
458C2×Q16—611no—
459C2×SD16—611no—
460C2×SD16C2×#692311yescharacteristic
461C2×D8—611no—
462#131—1222no—
463#131—1222no—
464#131—2441no—
465#131—2441no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1222no—
475C2×M16—1222no—
476C2×M16—2441no—
477C2×M16—2441no—
478C22×C8—611no—
479C22×C8—611no—
480C22×C8—611no—
481C22×C8—611no—
482C22×C8—611no—
483C22×C8—611no—
484C22×C8—611no—
485C22×C8—1222no—
486C22×C8—1222no—
487C22×C8—1221no—
488C22×C8—1221no—
489C22×C8—1221no—
490C22×C8—1221no—
491C22×C8C2×#692311yescharacteristic
492#123—1221no—
493#123—1221no—
494C22⋊Q8—611no—
495C22⋊Q8—611no—
496C22⋊Q8—611no—
497C22⋊Q8C2×#692311yescharacteristic
498#121—611no—
499#121—611no—
500#121—611no—
501#121C2×#692311yescharacteristic
502#120—1221no—
503#120—1221no—
504C4×D4—1221no—
505C4×D4—1221no—
506C4×D4—1221no—
507C4×D4—1221no—
508#117—611no—
509#117—611no—
510C2×C22⋊C4—1221no—
511C2×C42—611no—
512C2×C42—611no—
513#108—614no—
514#108—1222no—
515#108—1222no—
516#108—1222no—
517#107—611no—
518#107—611no—
519#106—611no—
520#106C2×#692311yescharacteristic
521C4⋊C8—1221no—
522C4⋊C8—1221no—
523C4⋊C8—1221no—
524C4⋊C8—1221no—
525#104—1222no—
526#104—1222no—
527#104—2441no—
528#104—2441no—
529#103—611no—
530#103—611no—
531#103—611no—
532#103C2×#692311yescharacteristic
533#102—611no—
534#102—611no—
535#102—611no—
536#102C2×#692311yescharacteristic
537C22⋊C8—611no—
538C22⋊C8—611no—
539C22⋊C8—611no—
540C22⋊C8—611no—
541C22⋊C8—1221no—
542C22⋊C8—1221no—
543C22⋊C8—1221no—
544C22⋊C8—1221no—
545#97—1221no—
546#97—1221no—
547C4×C8—1222no—
548C4×C8—1222no—
549C4×C8—1221no—
550C4×C8—1221no—
551#95—1221no—
552C24—611no—
553#41—1221no—
554#41—1221no—
555#41—1221no—
556#41—1221no—
557#41—1221no—
558#41—1221no—
559#41—1221no—
560#41—1221no—
561C2×Q8—611no—
562C2×Q8C22×#692311yescharacteristic
563C2×D4—21no—
564C2×D4—611no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4C22×#692311yescharacteristic
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—1221no—
577C22×C4—1221no—
578C22×C4—1221no—
579C22×C4—1221no—
580C22×C4—1221no—
581C22×C4—1221no—
582C22×C4—1221no—
583C22×C4—1221no—
584C22×C4C22×#692311yescharacteristic
585Q16—1222no—
586SD16—22no—
587SD16—1222no—
588D8—1222no—
589M16—612no—
590M16—612no—
591M16—1221no—
592M16—1221no—
593M16—1221no—
594M16—1221no—
595M16—1221no—
596M16—1221no—
597M16—2442no—
598M16—2442no—
599M16—2442no—
600M16—2442no—
601C2×C8—22no—
602C2×C8—611no—
603C2×C8—612no—
604C2×C8—612no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—611no—
608C2×C8—611no—
609C2×C8—611no—
610C2×C8—1222no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1222no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—1221no—
619C2×C8—1221no—
620C2×C8—1222no—
621C2×C8—1221no—
622C2×C8—1221no—
623C2×C8—2442no—
624C2×C8—2442no—
625C2×C8—2442no—
626C2×C8—2442no—
627C2×C8C22×#692311yescharacteristic
628C2×C8C22×#692311yescharacteristic
629C4⋊C4—21no—
630C4⋊C4—611no—
631C4⋊C4—611no—
632C4⋊C4—1221no—
633C4⋊C4—1221no—
634C4⋊C4—1221no—
635C4⋊C4C22×#692311yescharacteristic
636C4⋊C4C22×#692311yescharacteristic
637C22⋊C4—21no—
638C22⋊C4—21no—
639C22⋊C4—1221no—
640C22⋊C4—1221no—
641C22⋊C4—1221no—
642C22⋊C4—1221no—
643C22⋊C4—1221no—
644C22⋊C4—1221no—
645C22⋊C4—1224no—
646C22⋊C4—1221no—
647C22⋊C4—1221no—
648C42—1221no—
649C42—1221no—
650C42—1221no—
651C42—1221no—
652C42—1221no—
653C42—1221no—
654C23—21no—
655C23—611no—
656C23—611no—
657C23—1222no—
658C23—1221no—
659C23—1221no—
660C23—1221no—
661C23—2441no—
662C23D4×#692311yescharacteristic
663Q8—21no—
664Q8—21no—
665Q8—1221no—
666Q8—1221no—
667D4—21no—
668D4—21no—
669D4—81no—
670D4—1221no—
671D4—1221no—
672D4—4881no—
673D4—2442no—
674D4—2441no—
675D4—2441no—
676D4—2442no—
677D4—2441no—
678D4—2441no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—1221no—
691C2×C4—1221no—
692C2×C4—1221no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—1221no—
696C2×C4—1221no—
697C2×C4—1221no—
698C2×C4—1222no—
699C2×C4—1222no—
700C2×C4—1221no—
701C2×C4—1221no—
702C2×C4—1221no—
703C2×C4—2441no—
704C2×C4—2441no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4—2441no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4D4×#692311yescharacteristic
712C2×C4C23×#692311yescharacteristic
713C8—21no—
714C8—612no—
715C8—1221no—
716C8—1221no—
717C8—1221no—
718C8—1221no—
719C8—1222no—
720C8—1222no—
721C8—1221no—
722C8—2441no—
723C8—2441no—
724C8D4×#692312yes—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—612no—
732C22—611no—
733C22—611no—
734C22—1221no—
735C22—1221no—
736C22—1221no—
737C22—1221no—
738C22—2442no—
739C22—2442no—
740C22—2441no—
741C22—2441no—
742C22—2441no—
743C22C2×D4×#692311yescharacteristic
744C4—21no—
745C4—41no—
746C4—41no—
747C4—41no—
748C4—611no—
749C4—611no—
750C4—1221no—
751C4—2442no—
752C4—2442no—
753C4—2441no—
754C4—2441no—
755C4—2441no—
756C4C2×D4×#692311yescharacteristic
757C4#1684083111yescharacteristic
758C2—41no—
759C2—81no—
760C2—1221no—
761C2—1221no—
762C2—1222no—
763C2—4881no—
764C2#2146234411yescharacteristic
765C2D61⋊#44311yescharacteristic
766C2#2146259711yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#465C4
socleC22×C61C2×C4×D4
prime radical#21455395C2
cosocleC2×C4×D61C24
hypercenter#465#6923
hypocenterC61#23018
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #465

Complements

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

NH ≅ G/Ntype
1. C2×#16840805C2semidirect
2. #21462554C2semidirect
3. #21462550C2semidirect
4. C2×D61⋊#108C2semidirect
5. #21461971C2semidirect
6. #21461926C2semidirect
7. #21461903C2semidirect
8. #21461900C2semidirect
9. #21461803C2semidirect
10. #21461801C2semidirect
11. #21461787C2semidirect
12. #21461786C2semidirect
13. #21461622C2semidirect
14. C8×C22⋊#6923C2semidirect
58. #16840002C4semidirect
59. #16840001C4semidirect
60. #16839997C4semidirect
61. #16839996C4semidirect
62. #16839992C4semidirect
63. #16839991C4semidirect
64. #16839988C4semidirect
68. C61×#465C4semidirect
97. #14519847D4semidirect
358. C2×D61#443semidirect
414. #465#6923semidirect
452. C61#23018semidirect

Maximal subgroups

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

subgroupindex
C2×#168408052
#214625542
#214625502
C2×D61⋊#1082
#214619712
#214619262
#214619032
#214619002
#214618032
#214618012
#214617872
#214617862
#214616222
C8×C22⋊#69232
#214553952
#2301861