Finite Group Databasebeta

← #29658257

Subgroups — #29658257

Order 15616.

892 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21457145C211yesmaximal, characteristic, complemented
2#21457145C211yesmaximal, characteristic, complemented
3#21456215C211yesmaximal, characteristic, complemented
4#21444991C211yesmaximal, characteristic, complemented
5#21444984C211yesmaximal, characteristic, complemented
6#21444977C211yesmaximal, characteristic, complemented
7#21444970C211yesmaximal, characteristic, complemented
8#21444929C211yesmaximal, characteristic, complemented
9#21444922C211yesmaximal, characteristic, complemented
10#21444915C211yesmaximal, characteristic, complemented
11#21444908C211yesmaximal, characteristic, complemented
12C2×#16839508C211yesmaximal, characteristic, complemented
13#21444232C211yesmaximal, characteristic, complemented
14#21444232C211yesmaximal, characteristic, complemented
15C61×#3552C211yesmaximal, characteristic, complemented
16#16840312C2211yescharacteristic
17#16840124—22no—
18#16840114C2211yescharacteristic
19#16840114C2211yescharacteristic
20#16840110C2211yescharacteristic
21#16840110C2211yescharacteristic
22#16840059—21no—
23#16840059—21no—
24#16840057C2211yescharacteristic
25#16840057C2211yescharacteristic
26#16840052C2211yescharacteristic
27#16840052C2211yescharacteristic
28#16839996—21no—
29#16839996—21no—
30#16839993—21no—
31#16839993—21no—
32#16839974—21no—
33#16839974—21no—
34#16839962C2211yescharacteristic
35#16839962C2211yescharacteristic
36#16839957C2211yescharacteristic
37#16839957C2211yescharacteristic
38C2×C4⋊#92418C2211yescharacteristic
39C2×C4⋊#92418C2211yescharacteristic
40#16839761—22no—
41C4×#11758194C2211yescharacteristic
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#563—22no—
55C61×#557C2211yescharacteristic
56C61×#556C2211yescharacteristic
57C61×#554—21no—
58C61×#553—21no—
59D4×Q8×C61—21no—
60D4×Q8×C61C2211yescharacteristic
61C61×#548—21no—
62C61×#547C2211yescharacteristic
63C61×#544—21no—
64C61×#542—21no—
65C61×#541—21no—
66C61×#539—22no—
67C61×#536—21no—
68C2×C4⋊Q8×C61C2211yescharacteristic
69C61×#529C2211yescharacteristic
70C61×#529C2211yescharacteristic
71C2×#11758222—21no—
72C2×#11758201—21no—
73C2×#11758201—21no—
74C2×#11758199—21no—
75C2×#11758199—21no—
76C2×#11758194—21no—
77C22×#92418—21no—
78C22×#92418—21no—
79#14519777C2311yescharacteristic
80#14519774C2311yescharacteristic
81#14519765—21no—
82#14519751—21no—
83#14519751—21no—
84C4×D244—21no—
85C4×D244—21no—
86#14519710—21no—
87#14519710—21no—
88#14519708—21no—
89#14519708—21no—
90C4⋊#92418—21no—
91C4⋊#92418—21no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—21no—
97#14519701—21no—
98#14519700—22no—
99#14519700—22no—
100#14519698—21no—
101#14519698—21no—
102#14519697—21no—
103#14519697—21no—
104#14519697—21no—
105#14519697—21no—
106#14519697—22no—
107#14519697—22no—
108#14519688—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C22×Q8×C61—21no—
113C22×Q8×C61—21no—
114C4⋊Q8×C61—22no—
115C4⋊Q8×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61—21no—
119C4⋊Q8×C61D412yes—
120C4⋊Q8×C61C2311yescharacteristic
121C4⋊Q8×C61C2311yescharacteristic
122#126×C61—22no—
123#126×C61—22no—
124#126×C61—22no—
125#126×C61—21no—
126#126×C61—21no—
127#125×C61—22no—
128#125×C61—22no—
129#125×C61—22no—
130#125×C61—21no—
131#125×C61D411yescharacteristic
132#125×C61D411yescharacteristic
133#124×C61—22no—
134#124×C61—21no—
135#124×C61D411yescharacteristic
136#124×C61D411yescharacteristic
137#123×C61—22no—
138#123×C61—22no—
139#123×C61—21no—
140#123×C61—21no—
141#123×C61—22no—
142C22⋊Q8×C61—22no—
143C22⋊Q8×C61—22no—
144C22⋊Q8×C61—22no—
145C22⋊Q8×C61—22no—
146C22⋊Q8×C61—22no—
147C22⋊Q8×C61—21no—
148C22⋊Q8×C61—22no—
149C22⋊Q8×C61—21no—
150C22⋊Q8×C61—21no—
151C22⋊Q8×C61D411yescharacteristic
152C22⋊Q8×C61D411yescharacteristic
153#121×C61—22no—
154#121×C61—21no—
155#121×C61D411yescharacteristic
156#121×C61D411yescharacteristic
157C4×Q8×C61—21no—
158C4×Q8×C61—21no—
159C4×Q8×C61—21no—
160C4×Q8×C61C2311yescharacteristic
161C4×Q8×C61C2311yescharacteristic
162C4×D4×C61—22no—
163C4×D4×C61—22no—
164C4×D4×C61—21no—
165C4×D4×C61—21no—
166C4×D4×C61—21no—
167C4×D4×C61C2311yescharacteristic
168C4×D4×C61C2311yescharacteristic
169#117×C61—21no—
170#117×C61—21no—
171#117×C61—21no—
172C2×C4⋊C4×C61—21no—
173C2×C4⋊C4×C61—21no—
174C2×C4⋊C4×C61D412yes—
175C2×C42×C61C2311yescharacteristic
176#41×C61—81no—
177#41×C61—81no—
178C2×Q8×C61—22no—
179C2×Q8×C61—22no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—81no—
183C2×Q8×C61—81no—
184C2×Q8×C61—81no—
185C2×Q8×C61—81no—
186C2×Q8×C61C2×D411yescharacteristic
187C2×Q8×C61C2×D411yescharacteristic
188C2×D4×C61—21no—
189C2×D4×C61—21no—
190C2×D4×C61—22no—
191C2×D4×C61C2×D411yescharacteristic
192C2×D4×C61C2×D411yescharacteristic
193C22×C4×C61—22no—
194C22×C4×C61—22no—
195C22×C4×C61—22no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D411yescharacteristic
201C2×C22⋊D61—41no—
202#11758222—44no—
203C2×D244—21no—
204C2×D244—21no—
205C2×D244—21no—
206C2×C4×D61—41no—
207C2×Dic122—21no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D412yes—
228C4⋊C4×C61C2×D412yes—
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—22no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C22⋊C4×C61—21no—
244C22⋊C4×C61—21no—
245C22⋊C4×C61—21no—
246C42×C61—22no—
247C42×C61—22no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61C2×D411yescharacteristic
251C42×C61C2×D411yescharacteristic
252C42×C61C2×D411yescharacteristic
253C42×C61C2411yescharacteristic
254#11758201—81no—
255#11758201—81no—
256#11758199—81no—
257#11758199—81no—
258#11758198—41no—
259#11758198—41no—
260C4⋊Dic61—21no—
261C4⋊Dic61—21no—
262#11758194—42no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—21no—
269C2×#92418—81no—
270C2×#92418—81no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61#12011yescharacteristic
274C22×D61—41no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61—41no—
280Q8×C61—41no—
281Q8×C61—41no—
282Q8×C61—41no—
283Q8×C61—82no—
284Q8×C61—82no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—21no—
288D4×C61—21no—
289D4×C61—42no—
290D4×C61—42no—
291D4×C61—82no—
292C2×C4×C61—22no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—22no—
303C2×C4×C61—22no—
304C2×C4×C61—21no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—82no—
310C2×C4×C61—82no—
311C2×C4×C61—82no—
312C2×C4×C61#12011yescharacteristic
313C2×C4×C61#12011yescharacteristic
314C2×C4×C61#12011yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C22⋊D61—82no—
319C2×Dic61—41no—
320D244—42no—
321D244—41no—
322D244—41no—
323D244—41no—
324D244—41no—
325C4×D61—82no—
326Dic122—42no—
327#92418—41no—
328#92418—41no—
329#92418—41no—
330#92418—41no—
331#92418—41no—
332#92418—41no—
333#18726—611nomaximal, Sylow
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—41no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61#45412yes—
343C22×C61C2×#12011yescharacteristic
344C2×D61—81no—
345C2×D61—81no—
346C2×D61—81no—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—41no—
352C4×C61—42no—
353C4×C61—41no—
354C4×C61—42no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61#57611yescharacteristic
360C4×C61#57711yescharacteristic
361C4×C61#57711yescharacteristic
362C4×C61#57811yescharacteristic
363Dic61—81no—
364#3552D6111yescharacteristic, complemented
365#3247—611no—
366#3247—611no—
367#3141—611no—
368#1638—611no—
369#1637—611no—
370#1636—611no—
371#1635—611no—
372#1628—611no—
373#1627—611no—
374#1626—611no—
375#1625—611no—
376C2×#332—611no—
377#1483—611no—
378#1483—611no—
379C2×C61—22no—
380C2×C61—81no—
381C2×C61—81no—
382C2×C61#301211yescharacteristic
383C2×C61#301311yescharacteristic
384C2×C61C2×#45411yescharacteristic
385D61—161no—
386#563—22no—
387#557C2×D6111yescharacteristic
388#556C2×D6111yescharacteristic
389#554—21no—
390#553—21no—
391D4×Q8—21no—
392D4×Q8C2×D6111yescharacteristic
393#548—21no—
394#547C2×D6111yescharacteristic
395#544—21no—
396#542—21no—
397#541—21no—
398#539—22no—
399#536—21no—
400#532—611no—
401C2×C4⋊Q8C2×D6111yescharacteristic
402#529C2×D6111yescharacteristic
403#529C2×D6111yescharacteristic
404#489—1222no—
405#487—611no—
406#487—611no—
407#486—611no—
408#486—611no—
409#478—1221no—
410#478—1221no—
411#477—611no—
412#477—611no—
413#476—611no—
414#476—611no—
415#466—1221no—
416#466—1221no—
417#465—1221no—
418#465—1221no—
419#463—1221no—
420#463—1221no—
421#460—611no—
422#460—611no—
423#459—611no—
424#459—611no—
425C2×C4⋊C8—611no—
426C2×C4⋊C8—611no—
427#417—1222no—
428C4×M16—611no—
429#332—611no—
430#332—611no—
431#332—611no—
432#332—611no—
433Q8⋊C8—611no—
434Q8⋊C8—611no—
435Q8⋊C8—611no—
436Q8⋊C8—611no—
437D4⋊C8—611no—
438D4⋊C8—611no—
439D4⋊C8—611no—
440D4⋊C8—611no—
441C61#1872611yescharacteristic, complemented, Sylow
442C2×#41—21no—
443C2×#41—1221no—
444C22×Q8—21no—
445C22×Q8—21no—
446C2×SD16—1221no—
447C2×SD16—1221no—
448C2×D8—1221no—
449C2×D8—1221no—
450C2×M16—1221no—
451C22×C8—1221no—
452C22×C8—1221no—
453C4⋊Q8—22no—
454C4⋊Q8—21no—
455C4⋊Q8—21no—
456C4⋊Q8—21no—
457C4⋊Q8—21no—
458C4⋊Q8—611no—
459C4⋊Q8C22⋊D6112yes—
460C4⋊Q8C22×D6111yescharacteristic
461C4⋊Q8C22×D6111yescharacteristic
462#127—611no—
463#126—22no—
464#126—22no—
465#126—22no—
466#126—21no—
467#126—21no—
468#125—22no—
469#125—22no—
470#125—22no—
471#125—21no—
472#125C22⋊D6111yescharacteristic
473#125C22⋊D6111yescharacteristic
474#124—22no—
475#124—21no—
476#124—1221no—
477#124C22⋊D6111yescharacteristic
478#124C22⋊D6111yescharacteristic
479#123—22no—
480#123—22no—
481#123—21no—
482#123—21no—
483#123—22no—
484C22⋊Q8—22no—
485C22⋊Q8—22no—
486C22⋊Q8—22no—
487C22⋊Q8—22no—
488C22⋊Q8—22no—
489C22⋊Q8—21no—
490C22⋊Q8—22no—
491C22⋊Q8—21no—
492C22⋊Q8—21no—
493C22⋊Q8C22⋊D6111yescharacteristic
494C22⋊Q8C22⋊D6111yescharacteristic
495#121—22no—
496#121—21no—
497#121—1221no—
498#121—1221no—
499#121C22⋊D6111yescharacteristic
500#121C22⋊D6111yescharacteristic
501C4×Q8—21no—
502C4×Q8—21no—
503C4×Q8—21no—
504C4×Q8C22×D6111yescharacteristic
505C4×Q8C22×D6111yescharacteristic
506C4×D4—22no—
507C4×D4—22no—
508C4×D4—21no—
509C4×D4—21no—
510C4×D4—21no—
511C4×D4—1221no—
512C4×D4—1221no—
513C4×D4C22×D6111yescharacteristic
514C4×D4C22×D6111yescharacteristic
515#117—21no—
516#117—21no—
517#117—21no—
518C2×C4⋊C4—21no—
519C2×C4⋊C4—21no—
520C2×C4⋊C4C22⋊D6112yes—
521C2×C42C22×D6111yescharacteristic
522#107—1221no—
523#107—1221no—
524#106—1221no—
525#106—1221no—
526C4⋊C8—611no—
527C4⋊C8—611no—
528C4⋊C8—611no—
529C4⋊C8—611no—
530C4⋊C8—1221no—
531C4⋊C8—1221no—
532#103—1221no—
533#103—1221no—
534#103—1222no—
535#103—1222no—
536#102—1221no—
537#102—1221no—
538#102—1222no—
539#102—1222no—
540#102—1221no—
541#102—1221no—
542#102—1221no—
543#102—1221no—
544#97—1221no—
545C4×C8—611no—
546C4×C8—611no—
547#41—81no—
548#41—81no—
549#41—2444no—
550C2×Q8—22no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8—22no—
554C2×Q8—81no—
555C2×Q8—81no—
556C2×Q8—81no—
557C2×Q8—81no—
558C2×Q8—1221no—
559C2×Q8C2×C22⋊D6111yescharacteristic
560C2×Q8C2×C22⋊D6111yescharacteristic
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—22no—
564C2×D4—1221no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4—2441no—
568C2×D4C2×C22⋊D6111yescharacteristic
569C2×D4C2×C22⋊D6111yescharacteristic
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—2441no—
576C22×C4C2×C22⋊D6111yescharacteristic
577C22×C4C2×C22⋊D6111yescharacteristic
578C22×C4C2×C22⋊D6111yescharacteristic
579SD16—4881no—
580SD16—4881no—
581D8—4881no—
582D8—4881no—
583M16—2442no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—4881no—
591C2×C8—4881no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—22no—
603C4⋊C4—22no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4C2×C22⋊D6112yes—
613C4⋊C4C2×C22⋊D6112yes—
614C4⋊C4C2×C22⋊D6111yescharacteristic
615C4⋊C4C2×C22⋊D6111yescharacteristic
616C4⋊C4C2×C22⋊D6111yescharacteristic
617C4⋊C4C2×C22⋊D6111yescharacteristic
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—2441no—
633C22⋊C4—2441no—
634C42—22no—
635C42—22no—
636C42—21no—
637C42—21no—
638C42C2×C22⋊D6111yescharacteristic
639C42C2×C22⋊D6111yescharacteristic
640C42C2×C22⋊D6111yescharacteristic
641C42C23×D6111yescharacteristic
642C23—21no—
643C23—21no—
644C23—2441no—
645C23#1451974611yescharacteristic
646Q8—21no—
647Q8—21no—
648Q8—21no—
649Q8—21no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—82no—
655Q8—82no—
656Q8—2442no—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—42no—
662D4—42no—
663D4—82no—
664D4—4882no—
665D4—2442no—
666D4—2441no—
667D4—2441no—
668D4—2441no—
669D4—2441no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4—4882no—
691C2×C4—2441no—
692C2×C4#1451974611yescharacteristic
693C2×C4#1451974611yescharacteristic
694C2×C4#1451974611yescharacteristic
695C2×C4C22×C22⋊D6111yescharacteristic
696C2×C4C22×C22⋊D6111yescharacteristic
697C2×C4C22×C22⋊D6111yescharacteristic
698C8—2441no—
699C8—2441no—
700C8—2441no—
701C8—2441no—
702C8—2441no—
703C8—2441no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—4881no—
713C22—4881no—
714C22—4881no—
715C22#1683993512yes—
716C22C2×#1451974611yescharacteristic
717C4—21no—
718C4—21no—
719C4—21no—
720C4—21no—
721C4—41no—
722C4—42no—
723C4—41no—
724C4—42no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—4881no—
730C4#1684056511yescharacteristic
731C4#1684057011yescharacteristic
732C4#1684057311yescharacteristic
733C4#1684057711yescharacteristic
734C2—22no—
735C2—81no—
736C2—81no—
737C2—9761no—
738C2#2145512311yescharacteristic
739C2#2145513411yescharacteristic
740C2C2×#1683993511yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingC61×#3552C2
socleC22×C61C2×#120
hypercenter#3552D61
hypocenterC61#18726
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #21457145C2semidirect
2. #21457145C2semidirect
3. #21456215C2semidirect
4. #21444991C2semidirect
5. #21444984C2semidirect
6. #21444977C2semidirect
7. #21444970C2semidirect
8. #21444929C2semidirect
9. #21444922C2semidirect
10. #21444915C2semidirect
11. #21444908C2semidirect
12. C2×#16839508C2semidirect
13. #21444232C2semidirect
14. #21444232C2semidirect
15. C61×#3552C2semidirect
364. #3552D61semidirect
441. C61#18726semidirect

Maximal subgroups

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

subgroupindex
#214571452
#214562152
#214449912
#214449842
#214449772
#214449702
#214449292
#214449222
#214449152
#214449082
C2×#168395082
#214442322
C61×#35522
#1872661