Finite Group Databasebeta

← #29687413

Subgroups — #29687413

Order 15616.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454523C211yesmaximal, characteristic
2#21454238C211yesmaximal, characteristic, complemented
3#21446469C211yesmaximal, characteristic, complemented
4#21446469C211yesmaximal, characteristic, complemented
5#21446420C211yesmaximal, characteristic, complemented
6#21446420C211yesmaximal, characteristic, complemented
7#21446122C211yesmaximal, characteristic
8#21446026C211yesmaximal, characteristic, complemented
9#21445918C211yesmaximal, characteristic, complemented
10#21445705C211yesmaximal, characteristic, complemented
11#21445700C211yesmaximal, characteristic, complemented
12#21445666C211yesmaximal, characteristic, complemented
13#21445659C211yesmaximal, characteristic, complemented
14#21445605C211yesmaximal, characteristic, complemented
15C61×#3091C211yesmaximal, characteristic
16C2×#14519784C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19#16839840—21no—
20#16839840—21no—
21#16839834—21no—
22#16839834—21no—
23C2×#14519713C2211yescharacteristic
24C2×#14519713C2211yescharacteristic
25#16839789C2211yescharacteristic
26C2×#14519704C2211yescharacteristic
27C2×#14519704C2211yescharacteristic
28#16839729C2211yescharacteristic
29#16839726C2211yescharacteristic
30#16839718—21no—
31#16839718—21no—
32#16839718C2211yescharacteristic
33#16839718C2211yescharacteristic
34#16839718C2211yescharacteristic
35#16839718C2211yescharacteristic
36#16839718C2211yescharacteristic
37C4×#11758194—21no—
38C4×#11758194—21no—
39C2×#14519687C2211yescharacteristic
40C2×C8×Dic61C2211yescharacteristic
41C4×C22⋊Dic61C2211yescharacteristic
42#16839527C2211yescharacteristic
43#16839527C2211yescharacteristic
44#16839521C2211yescharacteristic
45#16839521C2211yescharacteristic
46#16839521C2211yescharacteristic
47#16839521C2211yescharacteristic
48#16839521C2211yescharacteristic
49#16839521C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C61×#525C2211yescharacteristic
53C2×#117×C61C2211yescharacteristic
54C61×#485C411yescharacteristic, complemented
55C61×#485C411yescharacteristic, complemented
56C61×#484C411yescharacteristic, complemented
57C61×#483C411yescharacteristic, complemented
58C61×#482C411yescharacteristic, complemented
59C61×#482C411yescharacteristic, complemented
60C61×#481C411yescharacteristic, complemented
61C61×#480C411yescharacteristic, complemented
62C61×#427C2211yescharacteristic
63C61×#427C2211yescharacteristic
64C61×#416C2211yescharacteristic
65C61×#416C2211yescharacteristic
66C2×C22⋊C8×C61C2211yescharacteristic
67#14519784—22no—
68#14519784—22no—
69C2×#11758194—21no—
70C2×#11758194—22no—
71C2×#11758194—22no—
72C2×#11758194—21no—
73C2×#11758194—22no—
74C2×#11758194—22no—
75C2×#11758194D411yescharacteristic
76C2×#11758194D411yescharacteristic
77C2×#11758194D411yescharacteristic
78C2×#11758194D411yescharacteristic
79C2×#11758194C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C22×#92418—21no—
84C22×#92418—21no—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87C2×C22⋊Dic61—21no—
88C2×C4×Dic61C2311yescharacteristic
89C2×C4×Dic61C2311yescharacteristic
90#14519713—22no—
91#14519713—22no—
92C4⋊#92418—21no—
93C4⋊#92418—21no—
94#14519704—22no—
95#14519704—22no—
96C22⋊#92418—21no—
97C22⋊#92418—21no—
98C22⋊#92418—21no—
99C22⋊#92418—21no—
100#14519688—21no—
101#14519688—21no—
102#14519688—21no—
103#14519688—21no—
104#14519688—21no—
105#14519687—22no—
106C4×#92418—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418—21no—
110C4×#92418—21no—
111C8×Dic61—22no—
112#14519684—21no—
113C2×#41×C61C2311yescharacteristic
114C23×C4×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117#123×C61—21no—
118C22⋊Q8×C61C2×C411yescharacteristic
119C22⋊Q8×C61C2×C411yescharacteristic
120#121×C61C2×C411yescharacteristic
121#121×C61C2×C411yescharacteristic
122#120×C61—21no—
123C4×D4×C61—21no—
124C4×D4×C61—21no—
125#117×C61—21no—
126#117×C61—21no—
127#117×C61C2×C411yescharacteristic
128#117×C61C2×C411yescharacteristic
129#117×C61C2311yescharacteristic
130#117×C61C2311yescharacteristic
131#117×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2×C411yescharacteristic
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C22⋊C4×C61—21no—
135C2×C42×C61—21no—
136#107×C61C2×C411yescharacteristic
137#107×C61C2×C411yescharacteristic
138#107×C61C2×C411yescharacteristic
139#107×C61C2×C411yescharacteristic
140#106×C61C2×C411yescharacteristic
141#106×C61C2×C411yescharacteristic
142#106×C61C2×C411yescharacteristic
143#106×C61C2×C411yescharacteristic
144#103×C61C2×C411yescharacteristic
145#103×C61C2×C411yescharacteristic
146#103×C61C2×C411yescharacteristic
147#103×C61C2×C411yescharacteristic
148#102×C61C2×C411yescharacteristic
149#102×C61C2×C411yescharacteristic
150#102×C61C2×C411yescharacteristic
151#102×C61C2×C411yescharacteristic
152C22⋊C8×C61C2×C411yescharacteristic
153C22⋊C8×C61C2×C411yescharacteristic
154C22⋊C8×C61C2×C411yescharacteristic
155C22⋊C8×C61C2×C411yescharacteristic
156C24×C61#4111yescharacteristic
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61—21no—
161C2×Q8×C61C22×C411yescharacteristic
162C2×D4×C61—21no—
163C2×D4×C61—21no—
164C2×D4×C61—21no—
165C2×D4×C61C22×C411yescharacteristic
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61C22×C411yescharacteristic
174C22×C4×C61C22×C411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61#4111yescharacteristic
178C22×C4×C61C2411yescharacteristic
179C22×Dic61—21no—
180C22×Dic61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61C22×C411yescharacteristic
186C2×C8×C61C22×C411yescharacteristic
187C2×C8×C61C22×C411yescharacteristic
188C2×C8×C61C22×C411yescharacteristic
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61C22×C411yescharacteristic
194C4⋊C4×C61C22×C411yescharacteristic
195C4⋊C4×C61C22×C411yescharacteristic
196C4⋊C4×C61C22×C411yescharacteristic
197C4⋊C4×C61C22×C411yescharacteristic
198C4⋊C4×C61C22×C411yescharacteristic
199C22⋊C4×C61—21no—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊C4×C61—21no—
205C22⋊C4×C61—21no—
206C22⋊C4×C61—21no—
207C22⋊C4×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C22⋊Dic61—42no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218#11758194—24no—
219#11758194—21no—
220#11758194—21no—
221#11758194—22no—
222#11758194—22no—
223#11758194—22no—
224#11758194—22no—
225#11758194—21no—
226#11758194—21no—
227#11758194—21no—
228#11758194—21no—
229#11758194—42no—
230#11758194#4112yes—
231#11758194#4112yes—
232C2×#92418—24no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—42no—
240C2×#92418C2×D411yescharacteristic
241C2×#92418C2×D411yescharacteristic
242C2×#92418C2×D411yescharacteristic
243C2×#92418C2×D411yescharacteristic
244C2×#92418#4112yes—
245C2×#92418#4112yes—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—21no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61C4×D411yescharacteristic
252C23×C61C4×D411yescharacteristic
253C23×C61C2×#4111yescharacteristic
254Q8×C61—21no—
255Q8×C61—21no—
256D4×C61—21no—
257D4×C61—21no—
258D4×C61—41no—
259D4×C61—41no—
260D4×C61—81no—
261D4×C61—81no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—81no—
282C2×C4×C61—81no—
283C2×C4×C61C4×D411yescharacteristic
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C23×C411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C2×Dic61—22no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C8×C61—21no—
298C8×C61—21no—
299C8×C61—21no—
300C8×C61—21no—
301#92418—21no—
302#92418—21no—
303#92418—22no—
304#92418—22no—
305#92418—41no—
306#92418—41no—
307#92418#12312yes—
308#92418#12312yes—
309#21594—611nomaximal, Sylow
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61C2×C4×D411yescharacteristic
324C22×C61#52911yescharacteristic
325C22×C61#52911yescharacteristic
326C4×C61—21no—
327C4×C61—21no—
328C4×C61—41no—
329C4×C61—41no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—41no—
335C4×C61C4×#4111yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61C2×#12311yescharacteristic
338C4×C61#52511yescharacteristic
339Dic61—42no—
340Dic61—81no—
341#3091D6111yescharacteristic
342#2930—611no—
343#2873—611no—
344#1929—611no—
345#1929—611no—
346#1922—611no—
347#1922—611no—
348#1871—611no—
349#1855—611no—
350#1826—611no—
351#1773—611no—
352#1772—611no—
353#1765—611no—
354#1764—611no—
355#1753—611no—
356C2×C61—21no—
357C2×C61—21no—
358C2×C61—41no—
359C2×C61—41no—
360C2×C61—81no—
361C2×C61C4×#12311yescharacteristic
362C2×C61#295611yescharacteristic
363C2×C61#295711yescharacteristic
364C2×#131—611no—
365C22×M16—611no—
366C22×M16—611no—
367#525C2×D6111yescharacteristic
368C2×#117C2×D6111yescharacteristic
369#485Dic6111yescharacteristic, complemented
370#485Dic6111yescharacteristic, complemented
371#484Dic6111yescharacteristic, complemented
372#483Dic6111yescharacteristic, complemented
373#482Dic6111yescharacteristic, complemented
374#482Dic6111yescharacteristic, complemented
375#481Dic6111yescharacteristic, complemented
376#480Dic6111yescharacteristic, complemented
377#436—1221no—
378#436—1221no—
379#435—1221no—
380#435—1221no—
381C2×#108—611no—
382C2×#108—611no—
383#427C2×D6111yescharacteristic
384#427C2×D6111yescharacteristic
385#424—611no—
386C2×#104—611no—
387C2×#104—611no—
388#416C2×D6111yescharacteristic
389#416C2×D6111yescharacteristic
390#408—611no—
391#407—611no—
392C2×C22⋊C8C2×D6111yescharacteristic
393#405—611no—
394#405—611no—
395#405—611no—
396#405—611no—
397#405—611no—
398#405—1221no—
399#405—1221no—
400C4×M16—1221no—
401C4×M16—1221no—
402C2×#97—611no—
403C2×C4×C8—611no—
404C4×C22⋊C4—611no—
405#341—611no—
406#341—611no—
407#339—611no—
408#339—611no—
409#339—611no—
410#339—611no—
411#339—611no—
412#339—611no—
413#336—611no—
414#336—611no—
415C61#2159411yescharacteristic, complemented, Sylow
416C2×#41C22×D6111yescharacteristic
417C23×C4C22×D6111yescharacteristic
418#131—1222no—
419#131—1222no—
420C2×M16—611no—
421C2×M16—611no—
422C2×M16—611no—
423C2×M16—611no—
424C2×M16—611no—
425C2×M16—611no—
426C2×M16—611no—
427C2×M16—611no—
428C2×M16—1222no—
429C2×M16—1222no—
430C2×M16—1221no—
431C2×M16—1222no—
432C2×M16—1222no—
433C2×M16—1221no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—1221no—
437C22×C8—1221no—
438C22×C8C22×D6111yescharacteristic
439C22×C8C22×D6111yescharacteristic
440#123—21no—
441C22⋊Q8C2×Dic6111yescharacteristic
442C22⋊Q8C2×Dic6111yescharacteristic
443#121C2×Dic6111yescharacteristic
444#121C2×Dic6111yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—21no—
449#117—21no—
450#117C2×Dic6111yescharacteristic
451#117C2×Dic6111yescharacteristic
452#117C22×D6111yescharacteristic
453#117C22×D6111yescharacteristic
454#117C22×D6111yescharacteristic
455C2×C4⋊C4C2×Dic6111yescharacteristic
456C2×C4⋊C4C2×Dic6111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1221no—
459C2×C42—21no—
460C2×C42—611no—
461C2×C42—611no—
462#108—1222no—
463#108—1222no—
464#107C2×Dic6111yescharacteristic
465#107C2×Dic6111yescharacteristic
466#107C2×Dic6111yescharacteristic
467#107C2×Dic6111yescharacteristic
468#106C2×Dic6111yescharacteristic
469#106C2×Dic6111yescharacteristic
470#106C2×Dic6111yescharacteristic
471#106C2×Dic6111yescharacteristic
472C4⋊C8—1221no—
473C4⋊C8—1221no—
474#104—1222no—
475#104—1222no—
476#103C2×Dic6111yescharacteristic
477#103C2×Dic6111yescharacteristic
478#103C2×Dic6111yescharacteristic
479#103C2×Dic6111yescharacteristic
480#102C2×Dic6111yescharacteristic
481#102C2×Dic6111yescharacteristic
482#102C2×Dic6111yescharacteristic
483#102C2×Dic6111yescharacteristic
484C22⋊C8—1221no—
485C22⋊C8—1221no—
486C22⋊C8—1221no—
487C22⋊C8—1221no—
488C22⋊C8C2×Dic6111yescharacteristic
489C22⋊C8C2×Dic6111yescharacteristic
490C22⋊C8C2×Dic6111yescharacteristic
491C22⋊C8C2×Dic6111yescharacteristic
492#97—1221no—
493#97—1221no—
494#97—1221no—
495#97—1221no—
496#97—1221no—
497#97—1222no—
498C4×C8—1221no—
499C4×C8—1221no—
500C4×C8—1221no—
501C4×C8—1221no—
502C4×C8—1221no—
503C4×C8—1222no—
504#95—1221no—
505C24#1175822411yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C22×Dic6111yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C22×Dic6111yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4D4×D6111yescharacteristic
525C22×C4D4×D6111yescharacteristic
526C22×C4#1175822411yescharacteristic
527C22×C4C22×Dic6111yescharacteristic
528C22×C4C22×Dic6111yescharacteristic
529C22×C4C23×D6111yescharacteristic
530M16—612no—
531M16—612no—
532M16—1222no—
533M16—1222no—
534M16—1222no—
535M16—1222no—
536M16—1224no—
537M16—1221no—
538M16—1221no—
539M16—1221no—
540M16—1221no—
541M16—1221no—
542M16—1221no—
543M16—2442no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—611no—
549C2×C8—611no—
550C2×C8—612no—
551C2×C8—612no—
552C2×C8—611no—
553C2×C8—611no—
554C2×C8—1224no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—2442no—
562C2×C8C22×Dic6111yescharacteristic
563C2×C8C22×Dic6111yescharacteristic
564C2×C8C22×Dic6111yescharacteristic
565C2×C8C22×Dic6111yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C22×Dic6111yescharacteristic
571C4⋊C4C22×Dic6111yescharacteristic
572C4⋊C4C22×Dic6111yescharacteristic
573C4⋊C4C22×Dic6111yescharacteristic
574C4⋊C4C22×Dic6111yescharacteristic
575C4⋊C4C22×Dic6111yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—2442no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C42—1221no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23D4×Dic6111yescharacteristic
601C23D4×Dic6111yescharacteristic
602C23C2×#1175822411yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—1222no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4D4×Dic6111yescharacteristic
639C2×C4D4×Dic6111yescharacteristic
640C2×C4C23×Dic6111yescharacteristic
641C2×C4C2×D4×D6111yescharacteristic
642C2×C4#41×D6111yescharacteristic
643C2×C4#41×D6111yescharacteristic
644C2×C4#41×D6111yescharacteristic
645C2×C4#41×D6111yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—612no—
651C8—612no—
652C8—1221no—
653C8—1221no—
654C8—1222no—
655C8—1222no—
656C8—2441no—
657C8—2441no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×D4×Dic6111yescharacteristic
672C22#1684028911yescharacteristic
673C22#1684028911yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—4881no—
684C4—2442no—
685C4#41×Dic6111yescharacteristic
686C4#41×Dic6111yescharacteristic
687C4#123×D6111yescharacteristic
688C4#1684027011yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#123×Dic6111yescharacteristic
695C2#2145472911yescharacteristic
696C2#2145473611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#3091C2
socleC22×C61C2×C4×D4
prime radicalC61×#525C22
cosocleC22×C4×C61C24
hypercenter#3091D61
hypocenterC61#21594
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #21454238C2semidirect
3. #21446469C2semidirect
4. #21446469C2semidirect
5. #21446420C2semidirect
6. #21446420C2semidirect
8. #21446026C2semidirect
9. #21445918C2semidirect
10. #21445705C2semidirect
11. #21445700C2semidirect
12. #21445666C2semidirect
13. #21445659C2semidirect
14. #21445605C2semidirect
54. C61×#485C4semidirect
55. C61×#485C4semidirect
56. C61×#484C4semidirect
57. C61×#483C4semidirect
58. C61×#482C4semidirect
59. C61×#482C4semidirect
60. C61×#481C4semidirect
61. C61×#480C4semidirect
369. #485Dic61semidirect
370. #485Dic61semidirect
371. #484Dic61semidirect
372. #483Dic61semidirect
373. #482Dic61semidirect
374. #482Dic61semidirect
375. #481Dic61semidirect
376. #480Dic61semidirect
415. C61#21594semidirect

Maximal subgroups

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

subgroupindex
#214545232
#214542382
#214464692
#214464202
#214461222
#214460262
#214459182
#214457052
#214457002
#214456662
#214456592
#214456052
C61×#30912
#2159461