Finite Group Databasebeta

← #30550810

Subgroups — #30550810

Order 15616.

2130 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
1#21459148C211yesmaximal, characteristic
2#21456710C214yesmaximal, complemented
3#21456701C218yesmaximal, complemented
4#21456686C214yesmaximal, complemented
5#21455763C212yesmaximal, complemented
6#21455750C212yesmaximal, complemented
7#21455445C214yesmaximal, complemented
8#21455077C212yesmaximal, complemented
9#21455053C212yesmaximal, complemented
10#21454264C211yesmaximal, characteristic, complemented
11C2×C61×#536C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C2×#14519808C2214yes—
14C22×#11758194C2212yescomplemented
15#16840340C2214yes—
16#16840336—21no—
17#16840333C2212yes—
18#16840329—21no—
19#16840326C2212yes—
20#16840321—21no—
21#16840321—21no—
22#16840308—22no—
23#16840273C2212yes—
24#16840273C2212yes—
25#16840269—22no—
26C2×#14519736C2211yescharacteristic
27#16840103C2218yescomplemented
28#16840100C2218yescomplemented
29#16840095C2214yescomplemented
30#16840090C2214yescomplemented
31#16840086C2218yescomplemented
32#16840018C2218yescomplemented
33#16840010C2218yescomplemented
34#16840001C2218yescomplemented
35#16839993C2218yescomplemented
36#16839922C2218yescomplemented
37#16839918C2218yescomplemented
38#16839917C2214yescomplemented
39#16839912C2214yescomplemented
40#16839901C2218yescomplemented
41#16839802C2214yescomplemented
42#16839771C2214yescomplemented
43#16839761C2214yes—
44#16839729C2214yes—
45#16839729C2214yescomplemented
46#16839726C2212yes—
47#16839726C2212yescomplemented
48C22×#41×C61C2211yescharacteristic
49C23×Q8×C61C2211yescharacteristic, complemented
50C61×#536—22no—
51C61×#536—22no—
52C61×#536C2214yes—
53C61×#536C2214yescomplemented
54C2×C4⋊Q8×C61—21no—
55C2×#124×C61—21no—
56C2×#123×C61—21no—
57C2×#123×C61—21no—
58C2×C22⋊Q8×C61C2212yes—
59C2×C22⋊Q8×C61C2212yescomplemented
60C2×#117×C61C2211yescharacteristic, complemented
61C2×#11758222—21no—
62C2×#11758222—21no—
63C2×#11758222—44no—
64C2×#11758222C2312yes—
65C2×#11758222C2312yes—
66C22×Dic122C2311yescharacteristic
67C22×D244C2311yescharacteristic
68C22×C22⋊D61—21no—
69C22×C4×D61—21no—
70#14519808—48no—
71C2×#11758202C2318yes—
72C2×#11758201C2318yes—
73C2×#11758194—44no—
74C2×#11758194C2314yes—
75C2×#11758194C2314yes—
76C22×#92418C2314yes—
77#14519775—22no—
78#14519773—22no—
79#14519766—22no—
80#14519764—22no—
81#14519760—22no—
82#14519760—22no—
83#14519758—22no—
84#14519758—22no—
85#14519756C2314yes—
86#14519756C2314yes—
87#14519753—24no—
88#14519751C2314yes—
89#14519751C2314yes—
90#14519749—24no—
91#14519749—24no—
92#14519748—24no—
93#14519746—22no—
94#14519746—22no—
95#14519745—22no—
96#14519745—22no—
97C4×C22⋊D61—24no—
98C4×C22⋊D61—24no—
99#14519736—21no—
100#14519736—21no—
101#14519736C2312yes—
102#14519736C2312yes—
103C2×C4⋊Dic61C2312yes—
104C2×C22⋊Dic61—21no—
105C2×C4×Dic61—21no—
106#14519710C2318yes—
107#14519708C2318yes—
108#14519701C2318yes—
109#14519701C2318yes—
110#14519700C2318yes—
111#14519697C2318yes—
112C22⋊#92418C2314yes—
113C22⋊#92418C2314yes—
114C22⋊#92418C2318yes—
115C2×#41×C61—44no—
116C2×#41×C61D412yes—
117C2×#41×C61D412yes—
118C2×#41×C61C2312yes—
119C2×#41×C61C2312yes—
120C22×Q8×C61—21no—
121C22×Q8×C61—22no—
122C22×Q8×C61—44no—
123C22×Q8×C61D411yescharacteristic
124C22×Q8×C61C2312yes—
125C22×Q8×C61C2314yes—
126C22×D4×C61D411yescharacteristic
127C22×D4×C61D411yescharacteristic
128C22×D4×C61D411yescharacteristic
129C23×C4×C61—21no—
130C23×C4×C61C2311yescharacteristic
131C23×C4×C61C2311yescharacteristic
132C23×C4×C61C2311yescharacteristic
133C4⋊Q8×C61—24no—
134C4⋊Q8×C61—24no—
135#124×C61—24no—
136#124×C61—24no—
137#123×C61—24no—
138#123×C61—24no—
139#123×C61—24no—
140#123×C61—24no—
141C22⋊Q8×C61—22no—
142C22⋊Q8×C61—22no—
143C22⋊Q8×C61—24no—
144C22⋊Q8×C61C2314yes—
145C22⋊Q8×C61C2318yes—
146C22⋊Q8×C61C2314yes—
147#117×C61—22no—
148#117×C61C2314yes—
149C2×C4⋊C4×C61—22no—
150C2×C4⋊C4×C61—22no—
151C2×C4⋊C4×C61C2312yes—
152C2×C22⋊C4×C61—21no—
153C2×C22⋊C4×C61—22no—
154C2×C22⋊C4×C61—22no—
155C2×C42×C61—21no—
156C24×C61C2×D411yescharacteristic
157C24×C61C2×D411yescharacteristic
158C24×C61C2×D411yescharacteristic
159C23×D61—21no—
160#41×C61—44no—
161#41×C61—44no—
162#41×C61—42no—
163#41×C61—42no—
164#41×C61—42no—
165#41×C61—42no—
166C2×Q8×C61—22no—
167C2×Q8×C61—24no—
168C2×Q8×C61—28no—
169C2×Q8×C61—42no—
170C2×Q8×C61—44no—
171C2×Q8×C61—44no—
172C2×Q8×C61—44no—
173C2×Q8×C61—48no—
174C2×Q8×C61C2×D412yes—
175C2×Q8×C61C2×D412yes—
176C2×Q8×C61C2414yes—
177C2×D4×C61—42no—
178C2×D4×C61—42no—
179C2×D4×C61—42no—
180C2×D4×C61C2×D412yes—
181C2×D4×C61C2×D412yes—
182C2×D4×C61C2×D412yes—
183C2×D4×C61C2×D412yes—
184C2×D4×C61C2×D412yes—
185C2×D4×C61C2×D412yes—
186C22×C4×C61—24no—
187C22×C4×C61—24no—
188C22×C4×C61—24no—
189C22×C4×C61—22no—
190C22×C4×C61—22no—
191C22×C4×C61—24no—
192C22×C4×C61—44no—
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D411yescharacteristic
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D412yes—
199C22×C4×C61C2×D412yes—
200C22×C4×C61C2411yescharacteristic
201C22×C4×C61C2411yescharacteristic
202C22×C4×C61C2412yes—
203C22×C4×C61C2412yes—
204C22×C4×C61C2411yescharacteristic
205C2×C22⋊D61—22no—
206C2×C22⋊D61—22no—
207C2×C22⋊D61—24no—
208C2×C22⋊D61—24no—
209C2×C22⋊D61—44no—
210C22×Dic61—21no—
211C22×Dic61—22no—
212#11758222—28no—
213#11758222—44no—
214#11758222—44no—
215#11758222—44no—
216C2×D244—21no—
217C2×D244—42no—
218C2×D244C2412yes—
219C2×C4×D61—22no—
220C2×C4×D61—22no—
221C2×C4×D61—44no—
222C2×Dic122—21no—
223C2×Dic122—42no—
224C2×Dic122C2412yes—
225C4⋊C4×C61—24no—
226C4⋊C4×C61—28no—
227C4⋊C4×C61—24no—
228C4⋊C4×C61—22no—
229C4⋊C4×C61C2414yes—
230C22⋊C4×C61—24no—
231C22⋊C4×C61—24no—
232C22⋊C4×C61—28no—
233C22⋊C4×C61—24no—
234C42×C61—24no—
235C22⋊Dic61—22no—
236C22⋊Dic61—22no—
237C22⋊Dic61—24no—
238C22⋊Dic61—24no—
239#11758202—48no—
240#11758201—48no—
241#11758198—24no—
242#11758198—24no—
243C4⋊Dic61—22no—
244C4⋊Dic61C2414yes—
245#11758196—24no—
246#11758196—24no—
247C4×Dic61—22no—
248C4×Dic61—22no—
249#11758194—28no—
250#11758194—44no—
251C2×#92418—44no—
252C2×#92418C2418yes—
253C23×C61—22no—
254C23×C61—22no—
255C23×C61—22no—
256C23×C61—42no—
257C23×C61—42no—
258C23×C61—42no—
259C23×C61C22×D411yescharacteristic
260C23×C61C22×D412yes—
261C23×C61C22×D412yes—
262C23×C61C22×D411yescharacteristic
263C23×C61C22×D411yescharacteristic
264C22×D61—22no—
265C22×D61—42no—
266C22×D61—82no—
267Q8×C61—28no—
268Q8×C61—42no—
269Q8×C61—42no—
270Q8×C61—48no—
271Q8×C61—44no—
272D4×C61—42no—
273D4×C61—42no—
274D4×C61—42no—
275D4×C61—42no—
276D4×C61—42no—
277D4×C61—42no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—24no—
284C2×C4×C61—24no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—22no—
291C2×C4×C61—24no—
292C2×C4×C61—24no—
293C2×C4×C61—44no—
294C2×C4×C61—48no—
295C2×C4×C61—44no—
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C22×D412yes—
298C2×C4×C61C22×D412yes—
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61H(5,𝔽2)14yes—
302C2×C4×C61C2511yescharacteristic
303C22⋊D61—44no—
304C22⋊D61—44no—
305C22⋊D61—84no—
306C22⋊D61—84no—
307C2×Dic61—24no—
308C2×Dic61—22no—
309C2×Dic61—42no—
310C2×Dic61—82no—
311D244—24no—
312D244—42no—
313C4×D61—44no—
314C4×D61—44no—
315Dic122—24no—
316Dic122—42no—
317#92418—28no—
318#60754—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—24no—
322C22×C61—24no—
323C22×C61—22no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—44no—
329C22×C61—82no—
330C22×C61—82no—
331C22×C61#53412yes—
332C22×C61C23×D411yescharacteristic
333C2×D61—44no—
334C2×D61—42no—
335C2×D61—84no—
336C4×C61—21no—
337C4×C61—21no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—44no—
341C4×C61—44no—
342C4×C61#53412yes—
343C4×C61C2×H(5,𝔽2)12yes—
344Dic61—44no—
345Dic61—42no—
346#3449—611no—
347C2×#536D6111yescharacteristic, complemented
348#3202—614no—
349#3201—618no—
350#3200—614no—
351#3095—612no—
352#3093—612no—
353#3056—614no—
354#3007—612no—
355#3004—612no—
356#2879—611no—
357C2×C61—22no—
358C2×C61—41no—
359C2×C61—42no—
360C2×C61—41no—
361C2×C61—42no—
362C2×C61C2×#53411yescharacteristic
363C2×C61#358612yes—
364D61—82no—
365C22×#41—611no—
366C22×#41C2×D6111yescharacteristic
367C23×Q8C2×D6111yescharacteristic, complemented
368C2×#137—614no—
369C22×M16—612no—
370#537—614no—
371#536—22no—
372#536—22no—
373#536—612no—
374#536—1221no—
375#536C2×D6114yes—
376#536C2×D6114yescomplemented
377#535—612no—
378#535—1221no—
379#534—1221no—
380#534—1221no—
381#532—1222no—
382C2×C4⋊Q8—21no—
383C2×#124—21no—
384#525—612no—
385#525—612no—
386#525—1222no—
387C2×#123—21no—
388C2×#123—21no—
389C2×C22⋊Q8C2×D6112yes—
390C2×C22⋊Q8C2×D6112yescomplemented
391C2×#117—611no—
392C2×#117C2×D6111yescharacteristic, complemented
393#485—618no—
394#485—618no—
395#484—614no—
396#483—614no—
397#482—618no—
398#470—618no—
399#468—618no—
400#467—618no—
401#465—618no—
402#452—618no—
403#451—618no—
404#451—614no—
405#450—614no—
406#448—618no—
407#428—614no—
408#419—614no—
409#417—614no—
410#408—614no—
411#408—614no—
412#407—612no—
413#407—612no—
414C61#6075411yescharacteristic, complemented, Sylow
415C2×#41—44no—
416C2×#41—612no—
417C2×#41—612no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—2444no—
421C2×#41C22⋊D6112yes—
422C2×#41C22⋊D6112yes—
423C2×#41C22×D6112yes—
424C2×#41C22×D6112yes—
425C22×Q8—21no—
426C22×Q8—22no—
427C22×Q8—44no—
428C22×Q8—611no—
429C22×Q8C22⋊D6111yescharacteristic
430C22×Q8C22×D6112yes—
431C22×Q8C22×D6114yes—
432C22×D4—611no—
433C22×D4—1221no—
434C22×D4C22⋊D6111yescharacteristic
435C22×D4C22⋊D6111yescharacteristic
436C22×D4C22⋊D6111yescharacteristic
437C23×C4—21no—
438C23×C4—1221no—
439C23×C4C22×D6111yescharacteristic
440C23×C4C22×D6111yescharacteristic
441C23×C4C22×D6111yescharacteristic
442#137—2448no—
443C2×Q16—618no—
444C2×SD16—618no—
445C2×M16—614no—
446C2×M16—614no—
447C2×M16—2444no—
448C22×C8—614no—
449C4⋊Q8—24no—
450C4⋊Q8—24no—
451C4⋊Q8—1222no—
452#127—1222no—
453#124—24no—
454#124—24no—
455#124—1222no—
456#124—1222no—
457#123—24no—
458#123—24no—
459#123—24no—
460#123—24no—
461#123—1222no—
462#123—1222no—
463#123—1222no—
464#123—1222no—
465C22⋊Q8—22no—
466C22⋊Q8—22no—
467C22⋊Q8—24no—
468C22⋊Q8—614no—
469C22⋊Q8—614no—
470C22⋊Q8—1224no—
471C22⋊Q8C22×D6114yes—
472C22⋊Q8C22×D6114yes—
473C22⋊Q8C22×D6118yes—
474#121—614no—
475#121—614no—
476#121—1224no—
477#121—1224no—
478#121—1224no—
479#120—1222no—
480#120—1222no—
481#120—1222no—
482#120—1222no—
483C4×D4—1224no—
484C4×D4—1224no—
485#117—22no—
486#117—612no—
487#117—612no—
488#117—1221no—
489#117—1221no—
490#117C22×D6114yes—
491C2×C4⋊C4—22no—
492C2×C4⋊C4—22no—
493C2×C4⋊C4—612no—
494C2×C4⋊C4C22×D6112yes—
495C2×C22⋊C4—21no—
496C2×C22⋊C4—22no—
497C2×C22⋊C4—22no—
498C2×C22⋊C4—1221no—
499C2×C42—21no—
500C2×C42—1221no—
501#107—618no—
502#106—618no—
503#103—618no—
504#103—618no—
505#103—618no—
506#102—618no—
507C22⋊C8—618no—
508C22⋊C8—614no—
509C22⋊C8—614no—
510C24—1221no—
511C24C2×C22⋊D6111yescharacteristic
512C24C2×C22⋊D6111yescharacteristic
513C24C2×C22⋊D6111yescharacteristic
514#41—44no—
515#41—44no—
516#41—42no—
517#41—42no—
518#41—42no—
519#41—42no—
520#41—1228no—
521#41—2444no—
522#41—2444no—
523#41—2444no—
524C2×Q8—22no—
525C2×Q8—24no—
526C2×Q8—28no—
527C2×Q8—42no—
528C2×Q8—44no—
529C2×Q8—44no—
530C2×Q8—44no—
531C2×Q8—48no—
532C2×Q8—612no—
533C2×Q8—1221no—
534C2×Q8—2442no—
535C2×Q8C2×C22⋊D6112yes—
536C2×Q8C2×C22⋊D6112yes—
537C2×Q8C23×D6114yes—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—612no—
542C2×D4—1224no—
543C2×D4—1224no—
544C2×D4—1222no—
545C2×D4—1222no—
546C2×D4—1221no—
547C2×D4—2442no—
548C2×D4—2444no—
549C2×D4C2×C22⋊D6112yes—
550C2×D4C2×C22⋊D6112yes—
551C2×D4C2×C22⋊D6112yes—
552C2×D4C2×C22⋊D6112yes—
553C2×D4C2×C22⋊D6112yes—
554C2×D4C2×C22⋊D6112yes—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—24no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—24no—
561C22×C4—44no—
562C22×C4—1222no—
563C22×C4—1221no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—2444no—
567C22×C4C2×C22⋊D6111yescharacteristic
568C22×C4C2×C22⋊D6111yescharacteristic
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6112yes—
572C22×C4C2×C22⋊D6111yescharacteristic
573C22×C4C2×C22⋊D6112yes—
574C22×C4C23×D6111yescharacteristic
575C22×C4C23×D6111yescharacteristic
576C22×C4C23×D6112yes—
577C22×C4C23×D6112yes—
578C22×C4C23×D6111yescharacteristic
579Q16—2448no—
580SD16—2448no—
581M16—1228no—
582M16—2444no—
583C2×C8—618no—
584C2×C8—2444no—
585C4⋊C4—24no—
586C4⋊C4—28no—
587C4⋊C4—24no—
588C4⋊C4—22no—
589C4⋊C4—614no—
590C4⋊C4—1222no—
591C4⋊C4—1224no—
592C4⋊C4—1224no—
593C4⋊C4C23×D6114yes—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—28no—
597C22⋊C4—24no—
598C22⋊C4—1222no—
599C22⋊C4—1222no—
600C22⋊C4—1224no—
601C22⋊C4—1224no—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C42—24no—
605C42—1222no—
606C42—1222no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—1222no—
614C23—4882no—
615C23—2442no—
616C23C22×C22⋊D6111yescharacteristic
617C23C22×C22⋊D6112yes—
618C23C22×C22⋊D6111yescharacteristic
619C23C22×C22⋊D6112yes—
620C23C22×C22⋊D6111yescharacteristic
621Q8—28no—
622Q8—42no—
623Q8—42no—
624Q8—48no—
625Q8—44no—
626Q8—1224no—
627Q8—2442no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—1224no—
635D4—4884no—
636D4—4884no—
637D4—2442no—
638D4—2444no—
639D4—2444no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—44no—
656C2×C4—48no—
657C2×C4—44no—
658C2×C4—1224no—
659C2×C4—1222no—
660C2×C4—4882no—
661C2×C4—2444no—
662C2×C4—2442no—
663C2×C4—2444no—
664C2×C4C22×C22⋊D6112yes—
665C2×C4C22×C22⋊D6111yescharacteristic
666C2×C4C22×C22⋊D6112yes—
667C2×C4C22×C22⋊D6111yescharacteristic
668C2×C4C22×C22⋊D6111yescharacteristic
669C2×C4#1451982214yes—
670C2×C4C24×D6111yescharacteristic
671C8—1228no—
672C22—22no—
673C22—22no—
674C22—24no—
675C22—24no—
676C22—22no—
677C22—22no—
678C22—21no—
679C22—21no—
680C22—22no—
681C22—44no—
682C22—82no—
683C22—82no—
684C22—4884no—
685C22—2444no—
686C22—2442no—
687C22#1684032112yes—
688C22C23×C22⋊D6111yescharacteristic
689C4—21no—
690C4—21no—
691C4—22no—
692C4—22no—
693C4—44no—
694C4—44no—
695C4—2444no—
696C4—2442no—
697C4#1684032112yes—
698C4C2×#1451982212yes—
699C2—22no—
700C2—42no—
701C2—41no—
702C2—41no—
703C2—42no—
704C2—4882no—
705C2C2×#1684032111yescharacteristic
706C2#2146060612yes—
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#536C2
socleC22×C61C23×D4
prime radical#21459148C2
hypercenterC2×#536D61
hypocenterC61#60754
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×#41 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
2. #21456710C2semidirect
3. #21456701C2semidirect
4. #21456686C2semidirect
5. #21455763C2semidirect
6. #21455750C2semidirect
7. #21455445C2semidirect
8. #21455077C2semidirect
9. #21455053C2semidirect
10. #21454264C2semidirect
11. C2×C61×#536C2semidirect
14. C22×#11758194C22semidirect
27. #16840103C22semidirect
28. #16840100C22semidirect
29. #16840095C22semidirect
30. #16840090C22semidirect
31. #16840086C22semidirect
32. #16840018C22semidirect
33. #16840010C22semidirect
34. #16840001C22semidirect
35. #16839993C22semidirect
36. #16839922C22semidirect
37. #16839918C22semidirect
38. #16839917C22semidirect
39. #16839912C22semidirect
40. #16839901C22semidirect
41. #16839802C22semidirect
42. #16839771C22semidirect
45. #16839729C22semidirect
47. #16839726C22semidirect
49. C23×Q8×C61C22semidirect
53. C61×#536C22semidirect
59. C2×C22⋊Q8×C61C22semidirect
60. C2×#117×C61C22semidirect
347. C2×#536D61semidirect
367. C23×Q8C2×D61semidirect
376. #536C2×D61semidirect
390. C2×C22⋊Q8C2×D61semidirect
392. C2×#117C2×D61semidirect
414. C61#60754semidirect

Maximal subgroups

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

subgroupindex
#214591482
#214567102
#214567012
#214566862
#214557632
#214557502
#214554452
#214550772
#214550532
#214542642
C2×C61×#5362
#6075461