Finite Group Databasebeta

← #29698463

Subgroups — #29698463

Order 15616.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839881C211yesmaximal, characteristic
2C2×#16839876C211yesmaximal, characteristic
3#21454617C211yesmaximal, characteristic
4#21454388C211yesmaximal, characteristic, complemented
5#21454387C211yesmaximal, characteristic, complemented
6#21446571C211yesmaximal, characteristic, complemented
7#21446566C211yesmaximal, characteristic, complemented
8#21446095C211yesmaximal, characteristic, complemented
9#21446095C211yesmaximal, characteristic, complemented
10#21446092C211yesmaximal, characteristic, complemented
11#21446092C211yesmaximal, characteristic, complemented
12#21445993C211yesmaximal, characteristic, complemented
13#21445840C211yesmaximal, characteristic, complemented
14#21445694C211yesmaximal, characteristic, complemented
15C61×#1806C211yesmaximal, characteristic, complemented
16C2×#14519797C2211yescharacteristic
17C2×#14519785C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519784C2211yescharacteristic
20C2×#14519784C2211yescharacteristic
21C4×#11758222C2211yescharacteristic
22#16839881—24no—
23#16839876—24no—
24#16839872C411yescharacteristic, complemented
25#16839872C411yescharacteristic, complemented
26#16839867C411yescharacteristic, complemented
27#16839867C411yescharacteristic, complemented
28#16839862C411yescharacteristic, complemented
29#16839862C411yescharacteristic, complemented
30#16839860C411yescharacteristic, complemented
31#16839860C411yescharacteristic, complemented
32C2×#14519712C2211yescharacteristic
33C2×#14519712C2211yescharacteristic
34C2×#14519712C2211yescharacteristic
35C2×#14519712C2211yescharacteristic
36#16839798C2211yescharacteristic
37#16839790C2211yescharacteristic
38#16839790C2211yescharacteristic
39#16839789—21no—
40#16839789—21no—
41#16839789C2211yescharacteristic
42#16839789C2211yescharacteristic
43#16839787—21no—
44#16839787—21no—
45#16839786—21no—
46#16839786C2211yescharacteristic
47#16839784—21no—
48C2×C4⋊#92418—21no—
49C2×C4⋊#92418C2211yescharacteristic
50C4⋊C8×D61—21no—
51C2×#14519705C2211yescharacteristic
52C2×#14519705C2211yescharacteristic
53#16839758C2211yescharacteristic
54#16839756C2211yescharacteristic
55C2×#14519688C2211yescharacteristic
56C2×#14519688C2211yescharacteristic
57C2×C4×#92418C2211yescharacteristic
58#16839522C2211yescharacteristic
59#16839522C2211yescharacteristic
60#16839517C2211yescharacteristic
61#16839517C2211yescharacteristic
62C4×#41×C61C2211yescharacteristic
63C61×#423C2211yescharacteristic
64C2×#104×C61C2211yescharacteristic
65C2×#104×C61C2211yescharacteristic
66C4×C4⋊C4×C61C2211yescharacteristic
67C61×#339C2211yescharacteristic
68C61×#339C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70#14519797D414yes—
71#14519797Q814yes—
72C2×#11758202C2×C411yescharacteristic
73C2×#11758200C2×C411yescharacteristic
74C2×#11758201C2×C411yescharacteristic
75C2×#11758199C2×C411yescharacteristic
76#14519785—22no—
77#14519785—22no—
78#14519785—41no—
79#14519785—41no—
80#14519784—22no—
81#14519784—22no—
82#14519784—41no—
83#14519784—41no—
84C2×#11758194—21no—
85C2×#11758194—21no—
86C2×#11758194C2311yescharacteristic
87C2×#11758194C2311yescharacteristic
88C2×#11758189—21no—
89C2×#11758189—21no—
90C22×#92418—21no—
91C22×#92418—21no—
92C22×#92418C2311yescharacteristic
93C22×#92418C2311yescharacteristic
94C22×#92418C2311yescharacteristic
95C22×#92418C2311yescharacteristic
96C2×C8×D61—21no—
97C2×C8×D61—21no—
98C4×Dic122C2×C411yescharacteristic
99C4×Dic122C2×C411yescharacteristic
100C4×D244C2×C411yescharacteristic
101C4×D244C2×C411yescharacteristic
102C4×C22⋊D61—21no—
103C4×C22⋊D61—21no—
104#14519736C2311yescharacteristic
105#14519734—21no—
106C42×D61—21no—
107#14519712—22no—
108#14519712—22no—
109#14519712—41no—
110#14519712—41no—
111#14519710C2×C411yescharacteristic
112#14519710C2×C411yescharacteristic
113#14519708C2×C411yescharacteristic
114#14519708C2×C411yescharacteristic
115C4⋊#92418—21no—
116C4⋊#92418—21no—
117C4⋊#92418—21no—
118C4⋊#92418—21no—
119C4⋊#92418—21no—
120C4⋊#92418—21no—
121C4⋊#92418D411yescharacteristic
122C4⋊#92418D411yescharacteristic
123C4⋊#92418D411yescharacteristic
124C4⋊#92418D411yescharacteristic
125#14519706—21no—
126#14519706—21no—
127#14519706—21no—
128#14519706—21no—
129#14519705—22no—
130#14519705—22no—
131#14519701C2×C411yescharacteristic
132#14519701C2×C411yescharacteristic
133#14519700C2×C411yescharacteristic
134#14519700C2×C411yescharacteristic
135#14519698C2×C411yescharacteristic
136#14519698C2×C411yescharacteristic
137#14519697C2×C411yescharacteristic
138#14519697C2×C411yescharacteristic
139#14519688—22no—
140#14519688C2×C411yescharacteristic
141#14519688C2×C411yescharacteristic
142#14519688C2×C411yescharacteristic
143#14519688C2×C411yescharacteristic
144C4×#92418—22no—
145C2×#41×C61C2311yescharacteristic
146C2×M16×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C4×Q8×C61C2×C411yescharacteristic
149C4×Q8×C61C2×C411yescharacteristic
150C4×D4×C61—21no—
151C4×D4×C61—21no—
152C4×D4×C61C2×C411yescharacteristic
153C4×D4×C61C2×C411yescharacteristic
154#117×C61—21no—
155#117×C61C2311yescharacteristic
156C2×C4⋊C4×C61—21no—
157C2×C42×C61—21no—
158C2×C42×C61C2311yescharacteristic
159C2×C42×C61C2311yescharacteristic
160C2×C42×C61C2311yescharacteristic
161C4⋊C8×C61—21no—
162C4⋊C8×C61—21no—
163#104×C61—22no—
164#104×C61—22no—
165#95×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61C2×D412yes—
169#41×C61C2×Q812yes—
170C2×Q8×C61C22×C411yescharacteristic
171C2×D4×C61—21no—
172C2×D4×C61C22×C411yescharacteristic
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61#4111yescharacteristic
179C22×C4×C61#4111yescharacteristic
180C22×C4×C61C2411yescharacteristic
181C2×C22⋊D61—21no—
182#11758222—21no—
183#11758222—21no—
184#11758222C2×D412yes—
185#11758222C2×Q812yes—
186C2×D244C22×C411yescharacteristic
187C2×C4×D61—21no—
188C2×C4×D61—21no—
189C2×C4×D61—21no—
190C2×Dic122C22×C411yescharacteristic
191M16×C61—21no—
192M16×C61—21no—
193M16×C61—21no—
194M16×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—42no—
200C4⋊C4×C61C22×C411yescharacteristic
201C4⋊C4×C61C22×C411yescharacteristic
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊C4×C61—21no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61C22×C411yescharacteristic
213C42×C61C22×C411yescharacteristic
214C42×C61C2×D411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C22⋊Dic61—21no—
217#11758202C4⋊C414yescomplemented
218#11758201C4⋊C414yescomplemented
219#11758200C4⋊C414yescomplemented
220#11758199C4⋊C414yescomplemented
221#11758198—21no—
222#11758198—21no—
223C4⋊Dic61C22×C411yescharacteristic
224C4⋊Dic61C22×C411yescharacteristic
225#11758196—21no—
226#11758196—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230#11758194—21no—
231#11758194—21no—
232#11758194—21no—
233#11758194—21no—
234#11758194—42no—
235#11758194—42no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—21no—
244C2×#92418—42no—
245C2×#92418—42no—
246C2×#92418C22×C411yescharacteristic
247C2×#92418C22×C411yescharacteristic
248C2×#92418C22×C411yescharacteristic
249C2×#92418C22×C411yescharacteristic
250C2×#92418C2×D411yescharacteristic
251C2×#92418C2×D411yescharacteristic
252C2×#92418C2×D411yescharacteristic
253C2×#92418C2×D411yescharacteristic
254C2×#92418C2×D412yes—
255C2×#92418C2×Q812yes—
256#11758189—42no—
257#11758189—42no—
258C8×D61—42no—
259C8×D61—42no—
260C23×C61—21no—
261C23×C61C2×#4111yescharacteristic
262C22×D61—21no—
263Q8×C61—21no—
264Q8×C61C2×C4⋊C412yes—
265D4×C61—22no—
266D4×C61—22no—
267D4×C61—21no—
268D4×C61C2×C4⋊C412yes—
269C2×C4×C61—21no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—42no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—81no—
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C4×D411yescharacteristic
286C2×C4×C61C4×D411yescharacteristic
287C2×C4×C61C4×D411yescharacteristic
288C2×C4×C61C23×C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×Q811yescharacteristic
292C2×C4×C61H(5,𝔽2)11yescharacteristic
293C2×C4×C612−1+411yescharacteristic
294C22⋊D61—22no—
295C22⋊D61—22no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299D244—21no—
300D244C2×C4⋊C412yes—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—42no—
304C4×D61—81no—
305Dic122—21no—
306Dic122C2×C4⋊C412yes—
307C8×C61—41no—
308C8×C61—41no—
309#92418—21no—
310#92418—21no—
311#92418—21no—
312#92418—21no—
313#92418—21no—
314#92418—21no—
315#92418—41no—
316#92418—41no—
317#92418C2×C4⋊C412yes—
318#92418C2×C4⋊C412yes—
319#22687—611nomaximal, Sylow
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—22no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61C2×C4×D411yescharacteristic
326C22×C61#54711yescharacteristic
327C22×C61#55411yescharacteristic
328C2×D61—22no—
329C2×D61—41no—
330C2×D61—41no—
331C4×C61—22no—
332C4×C61—21no—
333C4×C61—21no—
334C4×C61—21no—
335C4×C61—21no—
336C4×C61—42no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—81no—
340C4×C61C22×C4⋊C411yescharacteristic
341C4×C61#52011yescharacteristic
342C4×C61D4211yescharacteristic
343C4×C61D4×Q811yescharacteristic
344Dic61—22no—
345Dic61—41no—
346Dic61—41no—
347C2×#444—611no—
348C2×#443—611no—
349#2943—611no—
350#2906—611no—
351#2906—611no—
352#1946—611no—
353#1945—611no—
354#1866—611no—
355#1866—611no—
356#1866—611no—
357#1866—611no—
358#1849—611no—
359#1806—611no—
360#1806D6111yescharacteristic, complemented
361#1771—611no—
362C2×C61—21no—
363C2×C61—21no—
364C2×C61—42no—
365C2×C61D4×C4⋊C411yescharacteristic
366C2×C61#295511yescharacteristic
367C2×C61#295611yescharacteristic
368D61—42no—
369C2×#135—611no—
370C2×#131—611no—
371C2×#131—611no—
372C2×#131—611no—
373C2×#131—611no—
374C4×#41—611no—
375C4×#41C2×D6111yescharacteristic
376#444—1224no—
377#443—1224no—
378#442—611no—
379#442—611no—
380#441—611no—
381#441—611no—
382#440—611no—
383#440—611no—
384#440—611no—
385#440—611no—
386C2×#108—611no—
387C2×#108—611no—
388C2×#108—611no—
389C2×#108—611no—
390#427—611no—
391#424—611no—
392#424—611no—
393#424—611no—
394#424—611no—
395#424—1221no—
396#424—1221no—
397#424—1221no—
398#424—1221no—
399#423—611no—
400#423—1221no—
401#423—1221no—
402#423C2×D6111yescharacteristic
403C2×C4⋊C8—611no—
404C2×C4⋊C8—1221no—
405C2×C4⋊C8—1221no—
406C2×#104—611no—
407C2×#104—611no—
408C2×#104C2×D6111yescharacteristic
409C2×#104C2×D6111yescharacteristic
410#416—611no—
411#416—611no—
412C2×#97—611no—
413C2×#97—611no—
414C2×C4×C8—611no—
415C4×C4⋊C4C2×D6111yescharacteristic
416#339—611no—
417#339—611no—
418#339C2×D6111yescharacteristic
419#339C2×D6111yescharacteristic
420#336—611no—
421#336—611no—
422C61#2268711yescharacteristic, complemented, Sylow
423C2×#41—611no—
424C2×#41C22×D6111yescharacteristic
425#135—614no—
426#135—614no—
427C2×Q16—611no—
428C2×SD16—611no—
429C2×SD16—611no—
430C2×D8—611no—
431#131—1222no—
432#131—1222no—
433#131—1222no—
434#131—1222no—
435#131—2441no—
436#131—2441no—
437#131—2441no—
438#131—2441no—
439C2×M16—611no—
440C2×M16—611no—
441C2×M16—1221no—
442C2×M16—1221no—
443C2×M16—1221no—
444C2×M16—1221no—
445C2×M16C22×D6111yescharacteristic
446C2×M16C22×D6111yescharacteristic
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—611no—
450C22×C8—611no—
451C22×C8—1221no—
452C22×C8—1221no—
453C22×C8—1221no—
454C22×C8—1221no—
455C4×Q8—611no—
456C4×Q8—611no—
457C4×Q8C4×D6111yescharacteristic
458C4×Q8C4×D6111yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—611no—
462C4×D4—611no—
463C4×D4—1221no—
464C4×D4—1221no—
465C4×D4C4×D6111yescharacteristic
466C4×D4C4×D6111yescharacteristic
467#117—21no—
468#117—611no—
469#117—1221no—
470#117C22×D6111yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—1221no—
474C2×C42C22×D6111yescharacteristic
475C2×C42C22×D6111yescharacteristic
476C2×C42C22×D6111yescharacteristic
477#108—1222no—
478#108—1222no—
479#108—2441no—
480#108—2441no—
481#107—611no—
482#107—611no—
483#106—611no—
484#106—611no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—611no—
488C4⋊C8—611no—
489C4⋊C8—611no—
490C4⋊C8—611no—
491C4⋊C8—1221no—
492C4⋊C8—1221no—
493C4⋊C8—1221no—
494C4⋊C8—1221no—
495C4⋊C8—1221no—
496C4⋊C8—1221no—
497C4⋊C8—1221no—
498C4⋊C8—1221no—
499C4⋊C8—1221no—
500C4⋊C8—1221no—
501#104—22no—
502#104—22no—
503#104—1222no—
504#104—1222no—
505#103—611no—
506#103—611no—
507#103—611no—
508#103—611no—
509#102—611no—
510#102—611no—
511#102—611no—
512#102—611no—
513#97—611no—
514#97—611no—
515#97—611no—
516#97—611no—
517#97—1222no—
518C4×C8—1222no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—612no—
523#41—612no—
524#41—1221no—
525#41—1221no—
526#41D4×D6112yes—
527#41Q8×D6112yes—
528C2×Q8—611no—
529C2×Q8C2×C4×D6111yescharacteristic
530C2×D4—21no—
531C2×D4—611no—
532C2×D4—1221no—
533C2×D4C2×C4×D6111yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4#1175822411yescharacteristic
543C22×C4#1175822411yescharacteristic
544C22×C4C23×D6111yescharacteristic
545Q16—614no—
546SD16—614no—
547SD16—614no—
548D8—614no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—1221no—
554M16—1221no—
555M16—1221no—
556M16—1221no—
557M16—2442no—
558M16—2442no—
559M16—2442no—
560M16—2442no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—611no—
564C2×C8—611no—
565C2×C8—612no—
566C2×C8—612no—
567C2×C8—611no—
568C2×C8—611no—
569C2×C8—611no—
570C2×C8—611no—
571C2×C8—611no—
572C2×C8—611no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—1221no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8—2442no—
582C2×C8—2442no—
583C2×C8—2442no—
584C2×C8—2442no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—611no—
589C4⋊C4—611no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4C2×C4×D6111yescharacteristic
593C4⋊C4C2×C4×D6111yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1221no—
598C22⋊C4—1221no—
599C22⋊C4—1221no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—1221no—
608C42—1221no—
609C42—1221no—
610C42C2×C4×D6111yescharacteristic
611C42C2×C4×D6111yescharacteristic
612C42D4×D6111yescharacteristic
613C42D4×D6111yescharacteristic
614C23—21no—
615C23—1221no—
616C23C2×#1175822411yescharacteristic
617Q8—21no—
618Q8—612no—
619Q8—1221no—
620Q8C4⋊C4×D6112yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—612no—
625D4—1222no—
626D4—1222no—
627D4—1221no—
628D4C4⋊C4×D6112yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—81no—
644C2×C4—1221no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—4881no—
650C2×C4—2442no—
651C2×C4#1451973711yescharacteristic
652C2×C4#1451973711yescharacteristic
653C2×C4#1451973711yescharacteristic
654C2×C4#1451973711yescharacteristic
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4C2×D4×D6111yescharacteristic
658C2×C4C2×Q8×D6111yescharacteristic
659C2×C4#1451982311yescharacteristic
660C2×C4#1451982411yescharacteristic
661C8—41no—
662C8—41no—
663C8—612no—
664C8—612no—
665C8—1221no—
666C8—1221no—
667C8—1221no—
668C8—1221no—
669C8—1221no—
670C8—1221no—
671C8—2441no—
672C8—2441no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—1222no—
679C22—2441no—
680C22—2441no—
681C22C2×#1451973711yescharacteristic
682C22#1684041211yescharacteristic
683C22#1684047011yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—1222no—
694C4—2441no—
695C4—2441no—
696C4C2×C4⋊C4×D6111yescharacteristic
697C4#1684024211yescharacteristic
698C4#1684039611yescharacteristic
699C4#1684042511yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2442no—
704C2#2144871511yescharacteristic
705C2#2145471811yescharacteristic
706C2#2145472511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1806C2
socleC22×C61C2×C4×D4
prime radicalC2×#14519797C22
cosocleC22×C4×C61C24
hypercenter#1806D61
hypocenterC61#22687
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #21454388C2semidirect
5. #21454387C2semidirect
6. #21446571C2semidirect
7. #21446566C2semidirect
8. #21446095C2semidirect
9. #21446095C2semidirect
10. #21446092C2semidirect
11. #21446092C2semidirect
12. #21445993C2semidirect
13. #21445840C2semidirect
14. #21445694C2semidirect
15. C61×#1806C2semidirect
24. #16839872C4semidirect
25. #16839872C4semidirect
26. #16839867C4semidirect
27. #16839867C4semidirect
28. #16839862C4semidirect
29. #16839862C4semidirect
30. #16839860C4semidirect
31. #16839860C4semidirect
217. #11758202C4⋊C4semidirect
218. #11758201C4⋊C4semidirect
219. #11758200C4⋊C4semidirect
220. #11758199C4⋊C4semidirect
360. #1806D61semidirect
422. C61#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#168398812
C2×#168398762
#214546172
#214543882
#214543872
#214465712
#214465662
#214460952
#214460922
#214459932
#214458402
#214456942
C61×#18062
#2268761