Finite Group Databasebeta

← #30548485

Subgroups — #30548485

Order 15616.

2218 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459207C211yesmaximal, characteristic, complemented
2C2×#16840236C211yesmaximal, characteristic, complemented
3#21456067C214yesmaximal, complemented
4#21456058C214yesmaximal, complemented
5#21456006C214yesmaximal, complemented
6#21455998C214yesmaximal, complemented
7#21455750C211yesmaximal, characteristic, complemented
8#21455615C212yesmaximal, complemented
9#21455282C212yesmaximal, complemented
10#21455049C211yesmaximal, characteristic, complemented
11#21455045C211yesmaximal, characteristic, complemented
12#21454632C212yesmaximal, complemented
13#21454626C212yesmaximal, complemented
14#21454454C211yesmaximal, characteristic, complemented
15C61×#3093C211yesmaximal, characteristic, complemented
16C23×D244C2211yescharacteristic
17C2×#14519805C2212yes—
18C2×#14519802C2212yes—
19#16840385C2212yescomplemented
20#16840379C2212yescomplemented
21#16840372C2212yescomplemented
22#16840365C2212yescomplemented
23#16840356—22no—
24#16840347—22no—
25#16840315C2211yescharacteristic, complemented
26#16840308C2211yescharacteristic, complemented
27#16840294—22no—
28#16840292—22no—
29#16840273C2211yescharacteristic
30#16840236—22no—
31#16840236—22no—
32#16840236C2214yes—
33#16840236C2214yes—
34#41×Dic61C2211yescharacteristic, complemented
35#16840230C2211yescharacteristic, complemented
36C2×C4×D244—22no—
37C2×#14519739C2212yes—
38C2×#14519739C2212yes—
39C2×#14519736C2211yescharacteristic
40C2×C22⋊C4×D61—22no—
41#16840103C2214yescomplemented
42#16840086C2214yescomplemented
43#16840065C2214yescomplemented
44#16840061C2214yescomplemented
45#16840051C2214yescomplemented
46#16840041C2214yescomplemented
47#16839980C2214yescomplemented
48#16839976C2214yescomplemented
49#16839966C2214yescomplemented
50#16839956C2214yescomplemented
51#16839915C2214yes—
52#16839912C2214yes—
53#16839898C2214yes—
54#16839895C2214yes—
55#16839873C2214yescomplemented
56#16839871C2214yescomplemented
57#16839865C2214yescomplemented
58#16839861C2214yescomplemented
59#16839849C2214yescomplemented
60#16839847C2214yescomplemented
61#16839844C2214yescomplemented
62#16839842C2214yescomplemented
63#16839820C2214yescomplemented
64#16839820C2214yescomplemented
65#16839802C2212yescomplemented
66#16839785C2212yescomplemented
67#16839768C2212yes—
68#16839766C2212yes—
69#16839761C2212yescomplemented
70#16839726C2211yescharacteristic
71M16×Dic61C2212yescomplemented
72C61×#525C2211yescharacteristic
73C2×#117×C61C2211yescharacteristic
74C61×#485C2214yescomplemented
75C61×#482C2214yescomplemented
76C61×#428C2212yescomplemented
77C61×#417C2212yescomplemented
78C61×#407C2211yescharacteristic
79C24×D61—21no—
80C2×#11758222C2311yescharacteristic
81C22×D244—21no—
82C22×D244—22no—
83C22×D244—28no—
84C22×D244C2314yes—
85C22×D244C2312yes—
86C22×C4×D61—22no—
87C22×C4×D61—22no—
88#14519805—28no—
89#14519802—28no—
90C2×#11758190C2314yes—
91C2×#11758201C2314yes—
92C2×D488C2314yes—
93C2×#11758199C2314yes—
94C2×#11758194C2312yes—
95#14519776C2312yescomplemented
96#14519775C2311yescharacteristic, complemented
97#14519773C2311yescharacteristic, complemented
98#14519772—22no—
99#14519770—22no—
100#14519770—22no—
101#14519770—22no—
102#14519768—22no—
103#14519768C2312yescomplemented
104#14519767—22no—
105#14519766C2311yescharacteristic, complemented
106#14519764—22no—
107#14519764C2311yescharacteristic, complemented
108#14519763—22no—
109#14519761—22no—
110#14519760—21no—
111#14519759—22no—
112#14519759—22no—
113#14519758—22no—
114#14519757—22no—
115#14519756C2312yes—
116#14519754—22no—
117#14519754—22no—
118#14519751C2312yes—
119#14519749—22no—
120#14519749—22no—
121#14519748—22no—
122#14519746—21no—
123Q8×Dic61C2312yescomplemented
124C4×Dic122—22no—
125#14519742C2312yescomplemented
126C4×D244—24no—
127C4×D244—24no—
128C4×D244—24no—
129C4×D244—24no—
130D4×Dic61—22no—
131D4×Dic61C2312yescomplemented
132#14519739—22no—
133#14519739—22no—
134#14519739—22no—
135#14519739—22no—
136#14519739C2314yes—
137#14519739C2314yes—
138#14519739C2314yes—
139#14519739C2314yes—
140#14519739C2312yescomplemented
141C4×C22⋊D61—22no—
142C4×C22⋊D61—22no—
143#14519737—22no—
144#14519736—21no—
145#14519736D412yes—
146#14519736D412yes—
147#14519736C2311yescharacteristic
148#14519736C2312yes—
149#14519736C2312yes—
150#14519734—21no—
151C2×C4⋊Dic61D412yes—
152C2×C22⋊Dic61D412yes—
153C2×#11758198—22no—
154C2×#11758198—22no—
155C22⋊C4×D61—24no—
156C22⋊C4×D61—24no—
157C22⋊C4×D61—24no—
158C22⋊C4×D61—24no—
159C2×C4×Dic61—21no—
160C2×C4×Dic61C2311yescharacteristic
161C2×C4×Dic61C2311yescharacteristic
162C42×D61—21no—
163#14519710C2314yescomplemented
164#14519708C2314yescomplemented
165#14519706C2314yescomplemented
166#14519706C2314yescomplemented
167#14519700C2314yescomplemented
168#14519699C2314yes—
169#14519699C2314yes—
170#14519697C2314yes—
171#14519697C2314yes—
172#14519697C2314yescomplemented
173C22⋊#92418C2314yes—
174#14519687C2314yescomplemented
175C8×Dic61C2314yescomplemented
176C2×#41×C61C2311yescharacteristic
177C23×C4×C61C2311yescharacteristic
178C2×M16×C61C2312yes—
179#123×C61—21no—
180C22⋊Q8×C61C2312yes—
181#121×C61C2312yes—
182#120×C61—21no—
183C4×D4×C61—22no—
184#117×C61—22no—
185#117×C61C2311yescharacteristic
186#117×C61C2314yes—
187C2×C4⋊C4×C61C2312yes—
188C2×C22⋊C4×C61—21no—
189C2×C42×C61—21no—
190#107×C61C2314yescomplemented
191#106×C61C2314yescomplemented
192#103×C61C2314yescomplemented
193#102×C61C2314yescomplemented
194C22⋊C8×C61C2314yes—
195C24×C61C2×D411yescharacteristic
196C23×D61—22no—
197C23×D61—28no—
198C23×D61—24no—
199C23×D61—84no—
200#41×C61—24no—
201C2×Q8×C61C2411yescharacteristic
202C2×D4×C61—21no—
203C2×D4×C61—22no—
204C2×D4×C61C2411yescharacteristic
205C22×C4×C61—24no—
206C22×C4×C61—22no—
207C22×C4×C61—21no—
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2×D412yes—
210C22×C4×C61C2412yes—
211C22×C4×C61C2411yescharacteristic
212C2×C22⋊D61—21no—
213C2×C22⋊D61—22no—
214C2×C22⋊D61—22no—
215C22×Dic61—22no—
216C22×Dic61C2×D412yes—
217C22×Dic61C2×D412yes—
218#11758222—24no—
219C2×D244—28no—
220C2×D244—216no—
221C2×D244—22no—
222C2×D244—24no—
223C2×D244—24no—
224C2×D244—216no—
225C2×D244#4118yes—
226C2×D244C2411yescharacteristic
227C2×D244C2414yes—
228C2×C4×D61—21no—
229C2×C4×D61—24no—
230C2×C4×D61—24no—
231C2×C4×D61—24no—
232C2×C4×D61—24no—
233C2×C4×D61—22no—
234C2×C4×D61—84no—
235C2×C4×D61—84no—
236C2×Dic122—22no—
237C2×Dic122C2411yescharacteristic
238M16×C61—24no—
239C2×C8×C61C2414yes—
240C4⋊C4×C61—22no—
241C4⋊C4×C61—22no—
242C4⋊C4×C61C2414yes—
243C4⋊C4×C61C2412yes—
244C22⋊C4×C61—24no—
245C22⋊C4×C61—21no—
246C22⋊C4×C61—22no—
247C22⋊C4×C61—22no—
248C42×C61—24no—
249C42×C61—21no—
250C22⋊Dic61—21no—
251C22⋊Dic61—22no—
252C22⋊Dic61—22no—
253C22⋊Dic61—22no—
254C22⋊Dic61C2×D412yes—
255C22⋊Dic61C2×D412yes—
256C22⋊Dic61C2×D412yes—
257C22⋊Dic61C2×D412yes—
258#11758201—28no—
259#11758199—28no—
260#11758198—22no—
261#11758198—24no—
262#11758198—24no—
263#11758198—24no—
264#11758198—24no—
265#11758198—22no—
266#11758198—22no—
267C4⋊Dic61—22no—
268C4⋊Dic61—22no—
269C4⋊Dic61C2×D412yes—
270C4⋊Dic61C2×D412yes—
271C4⋊Dic61C2×D412yes—
272C4⋊Dic61C2×D412yes—
273C4⋊Dic61C2412yes—
274#11758196—22no—
275#11758196—22no—
276#11758196—22no—
277#11758196—22no—
278#11758196—22no—
279C4×Dic61—21no—
280C4×Dic61—22no—
281C4×Dic61—22no—
282C4×Dic61C2×D411yescharacteristic
283C4×Dic61C2×D411yescharacteristic
284C4×Dic61C2×D412yes—
285C4×Dic61C2412yes—
286C4×Dic61C2411yescharacteristic
287C4×Dic61C2411yescharacteristic
288#11758194—24no—
289C2×#92418C2414yes—
290D488—28no—
291#11758190—28no—
292C23×C61—22no—
293C23×C61—21no—
294C23×C61—42no—
295C23×C61C22×D412yes—
296C23×C61C22×D411yescharacteristic
297C22×D61—28no—
298C22×D61—24no—
299C22×D61—216no—
300C22×D61—21no—
301C22×D61—44no—
302C22×D61—44no—
303C22×D61—84no—
304C22×D61—84no—
305C22×D61—816no—
306Q8×C61—22no—
307D4×C61—22no—
308D4×C61—42no—
309D4×C61—82no—
310C2×C4×C61—22no—
311C2×C4×C61—24no—
312C2×C4×C61—24no—
313C2×C4×C61—21no—
314C2×C4×C61—22no—
315C2×C4×C61—24no—
316C2×C4×C61—44no—
317C2×C4×C61—42no—
318C2×C4×C61C22×D412yes—
319C2×C4×C61C22×D411yescharacteristic
320C2×C4×C61C2×#4114yes—
321C2×C4×C61C2511yescharacteristic
322C22⋊D61—42no—
323C22⋊D61—82no—
324C22⋊D61—82no—
325C2×Dic61—21no—
326C2×Dic61—22no—
327C2×Dic61—42no—
328C2×Dic61—42no—
329C2×Dic61—82no—
330C2×Dic61C22×D412yes—
331C2×Dic61C22×D412yes—
332C2×Dic61C22×D412yes—
333C2×Dic61C22×D412yes—
334D244—216no—
335D244—28no—
336D244—24no—
337D244—22no—
338D244C2×#4118yes—
339C4×D61—42no—
340C4×D61—82no—
341C4×D61—84no—
342C4×D61—84no—
343C4×D61—84no—
344C4×D61—84no—
345Dic122—22no—
346Dic122—82no—
347C8×C61—24no—
348#92418—24no—
349#60564—611nomaximal, Sylow
350C22×C61—22no—
351C22×C61—22no—
352C22×C61—22no—
353C22×C61—22no—
354C22×C61—44no—
355C22×C61—42no—
356C22×C61—41no—
357C22×C61#52512yes—
358C22×C61C23×D411yescharacteristic
359C2×D61—28no—
360C2×D61—416no—
361C2×D61—44no—
362C2×D61—44no—
363C2×D61—42no—
364C2×D61—41no—
365C2×D61—816no—
366C4×C61—22no—
367C4×C61—42no—
368C4×C61—44no—
369C4×C61—41no—
370C4×C61#52512yes—
371C4×C61C22×#4112yes—
372Dic61—22no—
373Dic61—22no—
374Dic61—22no—
375Dic61—22no—
376Dic61—42no—
377Dic61—41no—
378#3455—611no—
379C2×#518—611no—
380#3123—614no—
381#3122—614no—
382#3118—614no—
383#3118—614no—
384#3093—611no—
385#3093D6111yescharacteristic, complemented
386#3077—612no—
387#3036—612no—
388#3003—611no—
389#3003—611no—
390C4×AGL(1,ℤ/8)—612no—
391C4×AGL(1,ℤ/8)—612no—
392#2921—611no—
393C2×C61—22no—
394C2×C61—42no—
395C2×C61—81no—
396C2×C61C2×#52511yescharacteristic
397C2×C61#358512yes—
398D61—48no—
399D61—81no—
400C23×D4—611no—
401C2×AGL(1,ℤ/8)—612no—
402C2×AGL(1,ℤ/8)—612no—
403#542—612no—
404#542—612no—
405#541—612no—
406#540—612no—
407#539—1222no—
408#538—1222no—
409#533—611no—
410#532—611no—
411#529—1222no—
412#529—1222no—
413#525—611no—
414#525C2×D6111yescharacteristic
415#518—614no—
416#518—614no—
417#518—1222no—
418#518—1222no—
419C4×#41—611no—
420C4×#41—611no—
421C2×C4×D4—612no—
422C2×C4×D4—612no—
423C2×C4×D4—1222no—
424C2×#117—611no—
425C2×#117C2×D6111yescharacteristic
426C22×C22⋊C4—1222no—
427#485—614no—
428#485C2×D6114yescomplemented
429#482—614no—
430#482C2×D6114yescomplemented
431#478—614no—
432#478—614no—
433#476—614no—
434#474—614no—
435#463—614no—
436#463—614no—
437#461—614no—
438#459—614no—
439#450—614no—
440#450—614no—
441#447—614no—
442#447—614no—
443#442—614no—
444#442—614no—
445#440—614no—
446#440—614no—
447C4×SD16—614no—
448C4×SD16—614no—
449C4×D8—614no—
450C4×D8—614no—
451#433—614no—
452#433—614no—
453#428—612no—
454#428C2×D6112yescomplemented
455#423—612no—
456#418—612no—
457#418—612no—
458#417—612no—
459#417C2×D6112yescomplemented
460#407—611no—
461#407C2×D6111yescharacteristic
462C4×M16—612no—
463C61#6056411yescharacteristic, complemented, Sylow
464C25—1221no—
465C2×#41—611no—
466C2×#41C22×D6111yescharacteristic
467C22×D4—612no—
468C22×D4—614no—
469C22×D4—1228no—
470C22×D4—1221no—
471C22×D4—1222no—
472C23×C4—1222no—
473C23×C4—1222no—
474C23×C4C22×D6111yescharacteristic
475AGL(1,ℤ/8)—1228no—
476AGL(1,ℤ/8)—1228no—
477C2×SD16—614no—
478C2×SD16—614no—
479C2×D8—614no—
480C2×D8—614no—
481C2×M16—612no—
482C2×M16C22×D6112yes—
483C4⋊Q8—612no—
484C4⋊Q8—611no—
485#127—611no—
486#126—1222no—
487#126—1222no—
488#126—1222no—
489#126—1222no—
490#125—612no—
491#125—1222no—
492#125—1222no—
493#124—611no—
494#124—611no—
495#124—1222no—
496#124—1222no—
497#123—21no—
498#123—1222no—
499#123—1222no—
500#123—1222no—
501#123—1222no—
502#123—1221no—
503C22⋊Q8—612no—
504C22⋊Q8—1222no—
505C22⋊Q8—1222no—
506C22⋊Q8—1222no—
507C22⋊Q8C22×D6112yes—
508#121—612no—
509#121—1222no—
510#121—1222no—
511#121—1222no—
512#121C22×D6112yes—
513#120—21no—
514#120—1221no—
515C4×Q8—612no—
516C4×Q8—612no—
517C4×Q8—1222no—
518C4×D4—22no—
519C4×D4—612no—
520C4×D4—614no—
521C4×D4—614no—
522C4×D4—614no—
523C4×D4—614no—
524C4×D4—612no—
525C4×D4—1224no—
526C4×D4—1224no—
527C4×D4—1224no—
528C4×D4—1224no—
529C4×D4—1222no—
530C4×D4—1222no—
531C4×D4—1222no—
532C4×D4—1222no—
533C4×D4—1222no—
534C4×D4—1222no—
535C4×D4—1222no—
536C4×D4—1222no—
537#117—22no—
538#117—612no—
539#117—612no—
540#117—612no—
541#117—612no—
542#117—611no—
543#117—1221no—
544#117—1221no—
545#117C22×D6114yes—
546#117C22×D6111yescharacteristic
547C2×C4⋊C4—612no—
548C2×C4⋊C4C22×D6112yes—
549C2×C22⋊C4—21no—
550C2×C22⋊C4—612no—
551C2×C22⋊C4—1224no—
552C2×C22⋊C4—1224no—
553C2×C22⋊C4—1224no—
554C2×C22⋊C4—1224no—
555C2×C22⋊C4—1222no—
556C2×C22⋊C4—1222no—
557C2×C42—21no—
558C2×C42—611no—
559C2×C42—611no—
560C2×C42—1221no—
561C2×C42—1221no—
562#107—614no—
563#107C22×D6114yescomplemented
564#106—614no—
565#106C22×D6114yescomplemented
566C4⋊C8—614no—
567C4⋊C8—614no—
568#103—614no—
569#103C22×D6114yescomplemented
570#102—614no—
571#102—614no—
572#102—614no—
573#102—614no—
574#102—614no—
575#102C22×D6114yescomplemented
576C22⋊C8—614no—
577C22⋊C8C22×D6114yes—
578#97—614no—
579C4×C8—614no—
580C24—1228no—
581C24—1224no—
582C24—1222no—
583C24—4884no—
584C24D4×D6111yescharacteristic
585#41—24no—
586#41—1224no—
587C2×Q8—611no—
588C2×Q8—1222no—
589C2×Q8C23×D6111yescharacteristic
590C2×D4—21no—
591C2×D4—22no—
592C2×D4—618no—
593C2×D4—614no—
594C2×D4—611no—
595C2×D4—12216no—
596C2×D4—1228no—
597C2×D4—12216no—
598C2×D4—1222no—
599C2×D4—1222no—
600C2×D4—1221no—
601C2×D4—1224no—
602C2×D4—1222no—
603C2×D4—1224no—
604C2×D4C23×D6111yescharacteristic
605C22×C4—24no—
606C22×C4—22no—
607C22×C4—21no—
608C22×C4—612no—
609C22×C4—612no—
610C22×C4—1222no—
611C22×C4—1224no—
612C22×C4—1224no—
613C22×C4—1224no—
614C22×C4—1224no—
615C22×C4—1222no—
616C22×C4—1221no—
617C22×C4—4884no—
618C22×C4—4884no—
619C22×C4D4×D6111yescharacteristic
620C22×C4D4×D6112yes—
621C22×C4C23×D6112yes—
622C22×C4C23×D6111yescharacteristic
623SD16—1228no—
624SD16—1228no—
625D8—1228no—
626D8—1228no—
627M16—24no—
628M16—1224no—
629C2×C8—614no—
630C2×C8C23×D6114yes—
631C4⋊C4—22no—
632C4⋊C4—22no—
633C4⋊C4—612no—
634C4⋊C4—612no—
635C4⋊C4—612no—
636C4⋊C4—612no—
637C4⋊C4—612no—
638C4⋊C4—1222no—
639C4⋊C4—1222no—
640C4⋊C4—1222no—
641C4⋊C4—1222no—
642C4⋊C4—1222no—
643C4⋊C4—1222no—
644C4⋊C4—1222no—
645C4⋊C4C23×D6112yes—
646C4⋊C4C23×D6114yes—
647C22⋊C4—24no—
648C22⋊C4—21no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—612no—
652C22⋊C4—612no—
653C22⋊C4—612no—
654C22⋊C4—612no—
655C22⋊C4—1224no—
656C22⋊C4—1224no—
657C22⋊C4—1224no—
658C22⋊C4—1224no—
659C22⋊C4—1222no—
660C22⋊C4—1222no—
661C22⋊C4—1222no—
662C22⋊C4—1222no—
663C22⋊C4—1221no—
664C22⋊C4—1222no—
665C22⋊C4—1222no—
666C42—24no—
667C42—21no—
668C42—611no—
669C42—611no—
670C42—612no—
671C42—612no—
672C42—611no—
673C42—611no—
674C42—1222no—
675C42—1222no—
676C42—1221no—
677C23—22no—
678C23—21no—
679C23—42no—
680C23—12216no—
681C23—1228no—
682C23—1224no—
683C23—1221no—
684C23—4884no—
685C23—4884no—
686C23—48816no—
687C23—2444no—
688C23—2444no—
689C23C2×D4×D6112yes—
690C23C2×D4×D6111yescharacteristic
691Q8—22no—
692Q8—1222no—
693Q8—4882no—
694D4—22no—
695D4—42no—
696D4—82no—
697D4—618no—
698D4—12216no—
699D4—1228no—
700D4—1224no—
701D4—1222no—
702D4—4882no—
703D4—4882no—
704D4—2442no—
705C2×C4—22no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—22no—
710C2×C4—21no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—612no—
714C2×C4—612no—
715C2×C4—612no—
716C2×C4—612no—
717C2×C4—1222no—
718C2×C4—1221no—
719C2×C4—4882no—
720C2×C4—4884no—
721C2×C4—4884no—
722C2×C4—4884no—
723C2×C4—4884no—
724C2×C4—4882no—
725C2×C4—2442no—
726C2×C4—2442no—
727C2×C4—2442no—
728C2×C4C2×D4×D6112yes—
729C2×C4C2×D4×D6111yescharacteristic
730C2×C4#41×D6114yes—
731C2×C4C24×D6111yescharacteristic
732C8—24no—
733C8—1224no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—44no—
739C22—41no—
740C22—42no—
741C22—1228no—
742C22—48816no—
743C22—24416no—
744C22—2441no—
745C22—2442no—
746C22—2444no—
747C22—2444no—
748C22#1684027012yes—
749C22C22×D4×D6111yescharacteristic
750C4—22no—
751C4—41no—
752C4—44no—
753C4—42no—
754C4—1222no—
755C4—1222no—
756C4—1222no—
757C4—1222no—
758C4—2441no—
759C4—2442no—
760C4#1684027012yes—
761C4C2×#41×D6112yes—
762C2—22no—
763C2—42no—
764C2—81no—
765C2—4881no—
766C2—2448no—
767C2C2×#1684027011yescharacteristic
768C2#2146059612yes—
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3093C2
socleC22×C61C23×D4
hypercenter#3093D61
hypocenterC61#60564
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3093

Complements

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

NH ≅ G/Ntype
1. #21459207C2semidirect
2. C2×#16840236C2semidirect
3. #21456067C2semidirect
4. #21456058C2semidirect
5. #21456006C2semidirect
6. #21455998C2semidirect
7. #21455750C2semidirect
8. #21455615C2semidirect
9. #21455282C2semidirect
10. #21455049C2semidirect
11. #21455045C2semidirect
12. #21454632C2semidirect
13. #21454626C2semidirect
14. #21454454C2semidirect
15. C61×#3093C2semidirect
19. #16840385C22semidirect
20. #16840379C22semidirect
21. #16840372C22semidirect
22. #16840365C22semidirect
25. #16840315C22semidirect
26. #16840308C22semidirect
34. #41×Dic61C22semidirect
35. #16840230C22semidirect
41. #16840103C22semidirect
42. #16840086C22semidirect
43. #16840065C22semidirect
44. #16840061C22semidirect
45. #16840051C22semidirect
46. #16840041C22semidirect
47. #16839980C22semidirect
48. #16839976C22semidirect
49. #16839966C22semidirect
50. #16839956C22semidirect
55. #16839873C22semidirect
56. #16839871C22semidirect
57. #16839865C22semidirect
58. #16839861C22semidirect
59. #16839849C22semidirect
60. #16839847C22semidirect
61. #16839844C22semidirect
62. #16839842C22semidirect
63. #16839820C22semidirect
64. #16839820C22semidirect
65. #16839802C22semidirect
66. #16839785C22semidirect
69. #16839761C22semidirect
71. M16×Dic61C22semidirect
74. C61×#485C22semidirect
75. C61×#482C22semidirect
76. C61×#428C22semidirect
77. C61×#417C22semidirect
95. #14519776C23semidirect
96. #14519775C23semidirect
97. #14519773C23semidirect
103. #14519768C23semidirect
105. #14519766C23semidirect
107. #14519764C23semidirect
123. Q8×Dic61C23semidirect
125. #14519742C23semidirect
131. D4×Dic61C23semidirect
140. #14519739C23semidirect
163. #14519710C23semidirect
164. #14519708C23semidirect
165. #14519706C23semidirect
166. #14519706C23semidirect
167. #14519700C23semidirect
172. #14519697C23semidirect
174. #14519687C23semidirect
175. C8×Dic61C23semidirect
190. #107×C61C23semidirect
191. #106×C61C23semidirect
192. #103×C61C23semidirect
193. #102×C61C23semidirect
385. #3093D61semidirect
428. #485C2×D61semidirect
430. #482C2×D61semidirect
454. #428C2×D61semidirect
459. #417C2×D61semidirect
463. C61#60564semidirect
563. #107C22×D61semidirect
565. #106C22×D61semidirect
569. #103C22×D61semidirect
575. #102C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214592072
C2×#168402362
#214560672
#214560582
#214560062
#214559982
#214557502
#214556152
#214552822
#214550492
#214550452
#214546322
#214546262
#214544542
C61×#30932
#6056461