Finite Group Databasebeta

← #29716197

Subgroups — #29716197

Order 15616.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840392C211yesmaximal, characteristic, complemented
2C2×#16840052C211yesmaximal, characteristic, complemented
3#21448506C211yesmaximal, characteristic
4#21447155C211yesmaximal, characteristic, complemented
5#21447150C211yesmaximal, characteristic, complemented
6#21446963C211yesmaximal, characteristic, complemented
7#21446953C211yesmaximal, characteristic, complemented
8#21446777C211yesmaximal, characteristic, complemented
9#21446770C211yesmaximal, characteristic, complemented
10#21446138C211yesmaximal, characteristic
11#21446133C211yesmaximal, characteristic
12#21446015C211yesmaximal, characteristic, complemented
13#21446010C211yesmaximal, characteristic, complemented
14#21445800C211yesmaximal, characteristic, complemented
15C2×C61×#478C211yesmaximal, characteristic, complemented
16#16840392—24no—
17#16840392—24no—
18C2×#14519777C2211yescharacteristic
19C2×#14519776—21no—
20C2×#14519776C2211yescharacteristic
21C2×#14519768C2211yescharacteristic
22C2×#14519767—21no—
23C2×#14519757—21no—
24C2×#14519755—21no—
25C2×#14519748C2211yescharacteristic
26C2×#14519735C2211yescharacteristic
27C2×#14519734C2211yescharacteristic
28C2×C4⋊C4×D61C2211yescharacteristic
29#16840052—24no—
30C2×#14519708C2211yescharacteristic
31C2×#14519708C2211yescharacteristic
32C2×C4⋊#92418C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839662—21no—
39#16839658C2211yescharacteristic
40#16839656—21no—
41#16839641—21no—
42#16839635—21no—
43#16839619C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839516C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×#125×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C61×#478—24no—
58C2×#107×C61C2211yescharacteristic
59C2×#106×C61C2211yescharacteristic
60C2×C4⋊C8×C61C2211yescharacteristic
61C2×#102×C61C2211yescharacteristic
62C2×#102×C61C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C22×C22⋊D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519777—22no—
71#14519777D414yescomplemented
72#14519776—28no—
73#14519776—22no—
74#14519776—22no—
75#14519768—22no—
76#14519768—22no—
77#14519767—28no—
78#14519757—28no—
79#14519755—28no—
80#14519748—22no—
81#14519748Q814yescomplemented
82#14519735—22no—
83#14519735—22no—
84#14519734—22no—
85#14519734—22no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—21no—
96C2×#11758196D411yescharacteristic
97C2×#11758196D411yescharacteristic
98C4⋊C4×D61—22no—
99C4⋊C4×D61—22no—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198D411yescharacteristic
106C2×#11758198D411yescharacteristic
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110#14519708—22no—
111#14519708—22no—
112C4⋊#92418—22no—
113#14519698—22no—
114#14519698—22no—
115#14519689—22no—
116#14519689—22no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120C22×D4×C61C2311yescharacteristic
121C23×C4×C61—21no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124#125×C61—22no—
125#125×C61D414yescomplemented
126C4×D4×C61—22no—
127C4×D4×C61—22no—
128C2×C4⋊C4×C61—21no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C22⋊C4×C61—21no—
134C2×C42×C61C2311yescharacteristic
135#107×C61—22no—
136#106×C61—22no—
137C4⋊C8×C61—22no—
138#102×C61—22no—
139#102×C61—22no—
140C24×C61—21no—
141C23×D61C2×D411yescharacteristic
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61C2×Q812yes—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—42no—
152C22×C4×C61—81no—
153C22×C4×C61—81no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—24no—
158C2×C22⋊D61—81no—
159C2×C22⋊D61—81no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—24no—
172C2×C4×D61—81no—
173C2×C4×D61—81no—
174C2×C4×D61C2×Q812yes—
175C2×C4×D61#4112yes—
176C2×Dic122—24no—
177C2×Dic122—24no—
178C2×Dic122—81no—
179C2×Dic122—81no—
180C2×Dic122—81no—
181C2×Dic122—81no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C4⋊C4×C61—24no—
189C4⋊C4×C61—24no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61C2×D412yes—
195C4⋊C4×C61C2×D412yes—
196C22⋊C4×C61—42no—
197C42×C61C2×D412yes—
198C42×C61C2×D412yes—
199C22⋊Dic61—24no—
200C22⋊Dic61—81no—
201C22⋊Dic61—81no—
202#11758198—24no—
203#11758198—22no—
204#11758198—22no—
205#11758198—81no—
206C4⋊Dic61—24no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61C2×D412yes—
214C4⋊Dic61C2×D412yes—
215C4⋊Dic61C2×Q812yes—
216#11758196—24no—
217#11758196—24no—
218#11758196—24no—
219#11758196—22no—
220#11758196—22no—
221#11758196—81no—
222C4×Dic61—24no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—81no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61C22×D411yescharacteristic
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61C22⋊Q812yes—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—41no—
250D4×C61—41no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—84no—
265C2×C4×C61#12012yes—
266C2×C4×C61#12012yes—
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C22×Q811yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C612−1+411yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C22⋊D61—84no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61C22⋊Q812yes—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—84no—
300Dic122—84no—
301Dic122—84no—
302C8×C61—41no—
303C8×C61—41no—
304#92418—41no—
305#92418—41no—
306#24309—611nomaximal, Sylow
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—81no—
311C22×C61—81no—
312C22×C61—81no—
313C22×C61—81no—
314C22×C61C2×#12011yescharacteristic
315C22×C61C2×C22⋊Q811yescharacteristic
316C22×C61#53611yescharacteristic
317C22×C61#57611yescharacteristic
318C22×C61#57711yescharacteristic
319C22×C61#57711yescharacteristic
320C22×C61#57711yescharacteristic
321C2×D61—22no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—41no—
325C2×D61—41no—
326C2×D61—41no—
327C2×D61—41no—
328C4×C61—22no—
329C4×C61—22no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—81no—
333C4×C61#54811yescharacteristic
334C4×C61#54811yescharacteristic
335C4×C61D4×Q811yescharacteristic
336C4×C61D4×Q811yescharacteristic
337Dic61—22no—
338Dic61—42no—
339Dic61—41no—
340Dic61—41no—
341Dic61—42no—
342Dic61—42no—
343Dic61—81no—
344C2×#544—611no—
345C2×#478D6111yescharacteristic, complemented
346C2×#476—611no—
347#2324—611no—
348#2059—611no—
349#2058—611no—
350#2025—611no—
351#2023—611no—
352#1989—611no—
353#1988—611no—
354#1875—611no—
355#1874—611no—
356#1854—611no—
357#1853—611no—
358#1798—611no—
359C2×C61—82no—
360C2×C61#240911yescharacteristic
361C2×C61#301011yescharacteristic
362C2×C61#301211yescharacteristic
363C2×C61#308111yescharacteristic
364C2×C61#308411yescharacteristic
365C2×C61#324111yescharacteristic
366C2×C61#324411yescharacteristic
367D61—42no—
368#544—1224no—
369#544—1224no—
370C2×C4⋊Q8—611no—
371C2×C4⋊Q8—611no—
372C2×C4⋊Q8—1221no—
373C2×#125—611no—
374C2×#125—1221no—
375C2×#125C2×D6111yescharacteristic
376C2×C22⋊Q8—1221no—
377C2×C22⋊Q8—1221no—
378C2×#121—611no—
379C2×C4×D4C2×D6111yescharacteristic
380C2×#117—611no—
381C2×#117—611no—
382C22×C4⋊C4—611no—
383#478—24no—
384#476—1224no—
385C2×#107C2×D6111yescharacteristic
386C2×#106—611no—
387C2×#106—611no—
388C2×#106C2×D6111yescharacteristic
389C2×C4⋊C8—611no—
390C2×C4⋊C8C2×D6111yescharacteristic
391C2×#102—611no—
392C2×#102—611no—
393C2×#102C2×D6111yescharacteristic
394C2×#102C2×D6111yescharacteristic
395C2×C22⋊C8—611no—
396C2×C22⋊C8—611no—
397#390—611no—
398#390—1221no—
399#389—611no—
400#388—1221no—
401#386—1221no—
402#385—1221no—
403#380—611no—
404C4×C4⋊C4—611no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336—611no—
414#336—611no—
415C61#2430911yescharacteristic, complemented, Sylow
416C22×Q8—1221no—
417C22×Q8—1221no—
418C22×D4—1221no—
419C22×D4C22×D6111yescharacteristic
420C23×C4—21no—
421C23×C4—611no—
422C23×C4—1221no—
423C22×C8—611no—
424C22×C8—611no—
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427C4⋊Q8—614no—
428C4⋊Q8—1222no—
429C4⋊Q8—1228no—
430C4⋊Q8—1222no—
431C4⋊Q8—1222no—
432#125—22no—
433#125—1222no—
434#125—1228no—
435#125—1222no—
436#125C22⋊D6114yescomplemented
437C22⋊Q8—1228no—
438C22⋊Q8—1228no—
439#121—614no—
440#121—1222no—
441C4×D4—22no—
442C4×D4—22no—
443#117—1222no—
444#117—1222no—
445#117—1222no—
446#117—1222no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1222no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—611no—
475C2×C42—1221no—
476C2×C42—1221no—
477C2×C42C22×D6111yescharacteristic
478#107—22no—
479#106—22no—
480#106—1222no—
481#106—1222no—
482C4⋊C8—22no—
483C4⋊C8—1222no—
484#102—22no—
485#102—22no—
486#102—1222no—
487#102—1222no—
488C22⋊C8—1222no—
489C22⋊C8—1222no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493C24—21no—
494C24—611no—
495C2×Q8—1224no—
496C2×Q8—1224no—
497C2×Q8—4881no—
498C2×Q8—4881no—
499C2×Q8—4881no—
500C2×Q8—4881no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—1224no—
507C2×D4—4881no—
508C2×D4—4881no—
509C2×D4Q8×D6112yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—42no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—611no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—1224no—
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—4881no—
531C22×C4—4881no—
532C22×C4D4×D6111yescharacteristic
533C22×C4D4×D6111yescharacteristic
534C22×C4C23×D6111yescharacteristic
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—612no—
554C4⋊C4—612no—
555C4⋊C4—612no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—1224no—
559C4⋊C4—1224no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C4⋊C4—1224no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—4881no—
569C4⋊C4C2×C22⋊D6112yes—
570C4⋊C4C2×C22⋊D6112yes—
571C22⋊C4—42no—
572C22⋊C4—1224no—
573C22⋊C4—1224no—
574C22⋊C4—1222no—
575C22⋊C4—1222no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4—4881no—
579C42—1224no—
580C42—1221no—
581C42—1221no—
582C42—4881no—
583C42D4×D6112yes—
584C42C2×C22⋊D6112yes—
585C23—22no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—612no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23C2×D4×D6111yescharacteristic
600Q8—4884no—
601Q8—4884no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—4884no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4—612no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—4884no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4#1451974512yes—
648C2×C4#1451974512yes—
649C2×C4C2×D4×D6111yescharacteristic
650C2×C4C22×C22⋊D6111yescharacteristic
651C2×C4C2×Q8×D6111yescharacteristic
652C2×C4#41×D6111yescharacteristic
653C2×C4#1451982411yescharacteristic
654C2×C4#1451982511yescharacteristic
655C8—41no—
656C8—41no—
657C8—2441no—
658C8—2441no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—1222no—
667C22—1222no—
668C22—1222no—
669C22—2441no—
670C22—2441no—
671C22—2441no—
672C22—2441no—
673C22C2×#1451974511yescharacteristic
674C22C22⋊Q8×D6111yescharacteristic
675C22#1684033511yescharacteristic
676C22#1684056411yescharacteristic
677C22#1684056911yescharacteristic
678C22#1684057211yescharacteristic
679C22#1684057211yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—81no—
685C4—1222no—
686C4—4881no—
687C4—2441no—
688C4—2441no—
689C4—2442no—
690C4—2442no—
691C4—2442no—
692C4#1684041911yescharacteristic
693C4#1684042211yescharacteristic
694C4#1684042511yescharacteristic
695C4Q8×C22⋊D6111yescharacteristic
696C2—82no—
697C2—2442no—
698C2#2144918011yescharacteristic
699C2#2145510411yescharacteristic
700C2#2145511911yescharacteristic
701C2#2145564711yescharacteristic
702C2#2145568211yescharacteristic
703C2#2145706911yescharacteristic
704C2#2145711611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#478C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
hypercenterC2×#478D61
hypocenterC61#24309
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#16840392C2semidirect
2. C2×#16840052C2semidirect
4. #21447155C2semidirect
5. #21447150C2semidirect
6. #21446963C2semidirect
7. #21446953C2semidirect
8. #21446777C2semidirect
9. #21446770C2semidirect
12. #21446015C2semidirect
13. #21446010C2semidirect
14. #21445800C2semidirect
15. C2×C61×#478C2semidirect
71. #14519777D4semidirect
81. #14519748Q8semidirect
125. #125×C61D4semidirect
345. C2×#478D61semidirect
415. C61#24309semidirect
436. #125C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403922
C2×#168400522
#214485062
#214471552
#214471502
#214469632
#214469532
#214467772
#214467702
#214461382
#214461332
#214460152
#214460102
#214458002
C2×C61×#4782
#2430961