Finite Group Databasebeta

← C61×#18450 #29521883

Subgroups — C61×#18450 #29521883

Order 15616.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3537C211yesmaximal, characteristic, complemented
2C61×#3194C211yesmaximal, characteristic, complemented
3C61×#3186C211yesmaximal, characteristic, complemented
4C61×#2815C211yesmaximal, characteristic, complemented
5C61×#1612C212yesmaximal, complemented
6C61×#1607C212yesmaximal, complemented
7C61×#1600C212yesmaximal, complemented
8C61×#1595C212yesmaximal, complemented
9C61×#1516C211yesmaximal, characteristic, complemented
10C61×#1510C211yesmaximal, characteristic, complemented
11C61×#1471C211yesmaximal, characteristic, complemented
12C61×#560—22no—
13C61×#553—21no—
14C61×#553—21no—
15D42×C61—22no—
16D42×C61—21no—
17D42×C61—21no—
18C61×#540—21no—
19C61×#538—21no—
20C61×#538C2212yes—
21C61×#535—21no—
22C61×#534—21no—
23C61×#534C2212yes—
24C61×#525C2211yescharacteristic
25C2×#121×C61C2211yescharacteristic
26C2×#121×C61C2211yescharacteristic
27C2×#121×C61C2211yescharacteristic, complemented
28C61×#483C2211yescharacteristic, complemented
29C61×#482—21no—
30C61×#480—21no—
31C61×#480C2211yescharacteristic, complemented
32C61×#480C2212yescomplemented
33C61×#469—21no—
34C61×#468—21no—
35C61×#466—22no—
36C61×#450C2211yescharacteristic, complemented
37C61×#449—21no—
38C61×#447—21no—
39C61×#447C2211yescharacteristic, complemented
40C61×#447C2212yescomplemented
41C61×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C61C2211yescharacteristic, complemented
43C61×#397—21no—
44C61×#397C2212yescomplemented
45C61×#392—21no—
46C61×#392—22no—
47C61×#392C2212yescomplemented
48C61×#381C2211yescharacteristic, complemented
49C61×#328C2212yescomplemented
50C61×#327C2212yescomplemented
51C61×#327C2212yescomplemented
52C61×#327C2212yescomplemented
53C61×#323C2212yescomplemented
54C61×#323C2212yescomplemented
55C2×#41×C61D411yescharacteristic, complemented
56C22×D4×C61—22no—
57C22×D4×C61—21no—
58C22×D4×C61—22no—
59C22×D4×C61—21no—
60C22×D4×C61—21no—
61C22×D4×C61—22no—
62C22×D4×C61D412yes—
63C22×D4×C61D411yescharacteristic
64C22×D4×C61D411yescharacteristic, complemented
65C22×D4×C61C2311yescharacteristic
66C23×C4×C61C2311yescharacteristic
67C2×SD16×C61—21no—
68C2×D8×C61—22no—
69C2×D8×C61—21no—
70C2×M16×C61—21no—
71C22×C8×C61—21no—
72#127×C61—22no—
73#127×C61—21no—
74#126×C61—22no—
75#126×C61—22no—
76#125×C61—21no—
77#124×C61—22no—
78#123×C61—22no—
79#123×C61—21no—
80#123×C61—22no—
81#123×C61—22no—
82#123×C61—22no—
83C22⋊Q8×C61D411yescharacteristic, complemented
84C22⋊Q8×C61C2311yescharacteristic
85#121×C61—22no—
86#121×C61—21no—
87#121×C61—21no—
88#121×C61—22no—
89#121×C61—22no—
90#121×C61—22no—
91#121×C61—22no—
92#121×C61—21no—
93#121×C61—22no—
94#121×C61—21no—
95#121×C61—21no—
96#121×C61—21no—
97#121×C61—21no—
98#121×C61—21no—
99#121×C61—21no—
100#121×C61—21no—
101#121×C61—21no—
102#121×C61—21no—
103#121×C61D411yescharacteristic, complemented
104#121×C61D412yescomplemented
105#121×C61C2311yescharacteristic
106#121×C61C2312yes—
107#120×C61—22no—
108#120×C61—22no—
109#120×C61—22no—
110#120×C61—22no—
111#120×C61—21no—
112#120×C61—22no—
113#120×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—21no—
116C4×D4×C61—21no—
117C4×D4×C61—22no—
118C4×D4×C61—21no—
119C4×D4×C61—21no—
120#117×C61—21no—
121#117×C61D411yescharacteristic, complemented
122C2×C4⋊C4×C61D411yescharacteristic
123C2×C4⋊C4×C61D411yescharacteristic, complemented
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—22no—
129C2×C22⋊C4×C61—22no—
130C2×C22⋊C4×C61C2312yes—
131#107×C61—22no—
132#107×C61—21no—
133#106×C61—21no—
134#103×C61—21no—
135#102×C61—22no—
136#102×C61—21no—
137#102×C61—22no—
138#102×C61—21no—
139#102×C61—21no—
140C22⋊C8×C61—21no—
141C22⋊C8×C61—21no—
142C22⋊C8×C61C2311yescharacteristic
143C22⋊C8×C61C2311yescharacteristic
144C22⋊C8×C61C2312yes—
145#95×C61—21no—
146#95×C61—22no—
147#95×C61C2312yes—
148C24×C61—22no—
149C24×C61—21no—
150C24×C61—21no—
151C24×C61C2×D412yes—
152C24×C61C2×D411yescharacteristic
153#41×C61—81no—
154C2×Q8×C61C2×D411yescharacteristic
155C2×D4×C61—22no—
156C2×D4×C61—21no—
157C2×D4×C61—22no—
158C2×D4×C61—21no—
159C2×D4×C61—22no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—22no—
163C2×D4×C61—22no—
164C2×D4×C61—21no—
165C2×D4×C61—22no—
166C2×D4×C61—22no—
167C2×D4×C61—21no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—41no—
173C2×D4×C61—41no—
174C2×D4×C61—81no—
175C2×D4×C61—81no—
176C2×D4×C61—82no—
177C2×D4×C61—81no—
178C2×D4×C61—82no—
179C2×D4×C61—82no—
180C2×D4×C61—82no—
181C2×D4×C61—82no—
182C2×D4×C61—82no—
183C2×D4×C61—82no—
184C2×D4×C61—82no—
185C2×D4×C61—82no—
186C2×D4×C61—84no—
187C2×D4×C61C2×D411yescharacteristic
188C2×D4×C61C2×D412yes—
189C22×C4×C61—22no—
190C22×C4×C61—22no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—22no—
194C22×C4×C61—21no—
195C22×C4×C61—81no—
196C22×C4×C61C2×D412yes—
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D411yescharacteristic
201C22×C4×C61C2×D411yescharacteristic
202C22×C4×C61C2411yescharacteristic
203SD16×C61—81no—
204D8×C61—82no—
205D8×C61—81no—
206M16×C61—81no—
207C2×C8×C61—22no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—81no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61C2×D411yescharacteristic
221C4⋊C4×C61C2×D412yes—
222C4⋊C4×C61C2×D411yescharacteristic
223C22⋊C4×C61—22no—
224C22⋊C4×C61—22no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—21no—
229C22⋊C4×C61—21no—
230C22⋊C4×C61—21no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—21no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—22no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—41no—
238C22⋊C4×C61—41no—
239C22⋊C4×C61—82no—
240C22⋊C4×C61—82no—
241C22⋊C4×C61—81no—
242C42×C61—22no—
243C42×C61—21no—
244C23×C61—22no—
245C23×C61—22no—
246C23×C61—22no—
247C23×C61—21no—
248C23×C61—22no—
249C23×C61—22no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—42no—
253C23×C61—42no—
254C23×C61—42no—
255C23×C61—41no—
256C23×C61—41no—
257C23×C61—42no—
258C23×C61—41no—
259C23×C61—42no—
260C23×C61—81no—
261C23×C61—81no—
262C23×C61—82no—
263C23×C61—82no—
264C23×C61—82no—
265C23×C61#12011yescharacteristic
266C23×C61#12011yescharacteristic
267C23×C61C22×D411yescharacteristic
268Q8×C61—41no—
269D4×C61—42no—
270D4×C61—41no—
271D4×C61—42no—
272D4×C61—42no—
273D4×C61—42no—
274D4×C61—41no—
275D4×C61—41no—
276D4×C61—44no—
277D4×C61—42no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—42no—
281D4×C61—81no—
282D4×C61—82no—
283D4×C61—82no—
284D4×C61—81no—
285D4×C61—82no—
286D4×C61—82no—
287D4×C61—82no—
288D4×C61—82no—
289D4×C61—82no—
290D4×C61—82no—
291D4×C61—82no—
292D4×C61—88no—
293C2×C4×C61—21no—
294C2×C4×C61—22no—
295C2×C4×C61—22no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—41no—
303C2×C4×C61—41no—
304C2×C4×C61—42no—
305C2×C4×C61—42no—
306C2×C4×C61—42no—
307C2×C4×C61—42no—
308C2×C4×C61—41no—
309C2×C4×C61—42no—
310C2×C4×C61—42no—
311C2×C4×C61—81no—
312C2×C4×C61—82no—
313C2×C4×C61—82no—
314C2×C4×C61#12011yescharacteristic
315C2×C4×C61#12011yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C8×C61—42no—
319C8×C61—41no—
320C8×C61—41no—
321#18450C6111yesmaximal, characteristic, direct product factor, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—41no—
333C22×C61—42no—
334C22×C61—42no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61—42no—
338C22×C61—42no—
339C22×C61—82no—
340C22×C61—82no—
341C22×C61—82no—
342C22×C61—82no—
343C22×C61—82no—
344C22×C61—81no—
345C22×C61—81no—
346C22×C61—81no—
347C22×C61—162no—
348C22×C61—164no—
349C22×C61C2×#12011yescharacteristic
350C22×C61#57612yes—
351C4×C61—21no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—42no—
356C4×C61—41no—
357C4×C61—42no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—82no—
361C4×C61—81no—
362#3537C2×C6111yescharacteristic, complemented
363#3194C2×C6111yescharacteristic, complemented
364#3186C2×C6111yescharacteristic, complemented
365#2815C2×C6111yescharacteristic, complemented
366#1612C2×C6112yescomplemented
367#1607C2×C6112yescomplemented
368#1600C2×C6112yescomplemented
369#1595C2×C6112yescomplemented
370#1516C2×C6111yescharacteristic, complemented
371#1510C2×C6111yescharacteristic, complemented
372#1471C2×C6111yescharacteristic, complemented
373C2×C61—22no—
374C2×C61—41no—
375C2×C61—41no—
376C2×C61—82no—
377C2×C61—82no—
378C2×C61—81no—
379C2×C61—161no—
380C2×C61#300811yescharacteristic
381C2×C61#301911yescharacteristic
382C2×C61#302611yescharacteristic
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C22×C6112yes—
392#535—21no—
393#534—21no—
394#534C22×C6112yes—
395#525C22×C6111yescharacteristic
396C2×#121C22×C6111yescharacteristic
397C2×#121C22×C6111yescharacteristic
398C2×#121C22×C6111yescharacteristic, complemented
399#483C22×C6111yescharacteristic, complemented
400#482—21no—
401#480—21no—
402#480C22×C6111yescharacteristic, complemented
403#480C22×C6112yescomplemented
404#469—21no—
405#468—21no—
406#466—22no—
407#450C22×C6111yescharacteristic, complemented
408#449—21no—
409#447—21no—
410#447C22×C6111yescharacteristic, complemented
411#447C22×C6112yescomplemented
412#407C22×C6111yescharacteristic, complemented
413C2×C22⋊C8C22×C6111yescharacteristic, complemented
414#397—21no—
415#397C22×C6112yescomplemented
416#392—21no—
417#392—22no—
418#392C22×C6112yescomplemented
419#381C22×C6111yescharacteristic, complemented
420#328C22×C6112yescomplemented
421#327C22×C6112yescomplemented
422#327C22×C6112yescomplemented
423#327C22×C6112yescomplemented
424#323C22×C6112yescomplemented
425#323C22×C6112yescomplemented
426C61#1845011yescharacteristic, direct product factor, Sylow
427C2×#41D4×C6111yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C6112yes—
435C22×D4D4×C6111yescharacteristic
436C22×D4D4×C6111yescharacteristic, complemented
437C22×D4C23×C6111yescharacteristic
438C23×C4C23×C6111yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C6111yescharacteristic, complemented
456C22⋊Q8C23×C6111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C6112yescomplemented
476#121D4×C6111yescharacteristic, complemented
477#121C23×C6112yes—
478#121C23×C6111yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C6111yescharacteristic, complemented
494C2×C4⋊C4D4×C6111yescharacteristic
495C2×C4⋊C4D4×C6111yescharacteristic, complemented
496C2×C4⋊C4C23×C6111yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C6112yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C6111yescharacteristic
515C22⋊C8C23×C6111yescharacteristic
516C22⋊C8C23×C6112yes—
517#95—21no—
518#95—22no—
519#95C23×C6112yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C6112yes—
524C24C2×D4×C6111yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C6111yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C6111yescharacteristic
560C2×D4C2×D4×C6112yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C6112yes—
569C22×C4C2×D4×C6111yescharacteristic
570C22×C4C2×D4×C6111yescharacteristic
571C22×C4C2×D4×C6111yescharacteristic
572C22×C4C2×D4×C6111yescharacteristic
573C22×C4C2×D4×C6111yescharacteristic
574C22×C4C24×C6111yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C6111yescharacteristic
593C4⋊C4C2×D4×C6112yes—
594C4⋊C4C2×D4×C6111yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—42no—
631C23—41no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C6111yescharacteristic
638C23#120×C6111yescharacteristic
639C23C22×D4×C6111yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C6111yescharacteristic
687C2×C4#120×C6111yescharacteristic
688C2×C4C22×D4×C6111yescharacteristic
689C2×C4C22×D4×C6111yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C6111yescharacteristic
721C22C61×#57612yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C61×#300811yescharacteristic
741C2C61×#301911yescharacteristic
742C2C61×#302611yescharacteristic
subgroupG/H
center, socleC22×C61C2×#120
commutator, Frattini, cosocleC22×C4C24×C61
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ C23×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3537C2semidirect
2. C61×#3194C2semidirect
3. C61×#3186C2semidirect
4. C61×#2815C2semidirect
5. C61×#1612C2semidirect
6. C61×#1607C2semidirect
7. C61×#1600C2semidirect
8. C61×#1595C2semidirect
9. C61×#1516C2semidirect
10. C61×#1510C2semidirect
11. C61×#1471C2semidirect
27. C2×#121×C61C22semidirect
28. C61×#483C22semidirect
31. C61×#480C22semidirect
32. C61×#480C22semidirect
36. C61×#450C22semidirect
39. C61×#447C22semidirect
40. C61×#447C22semidirect
41. C61×#407C22semidirect
42. C2×C22⋊C8×C61C22semidirect
44. C61×#397C22semidirect
47. C61×#392C22semidirect
48. C61×#381C22semidirect
49. C61×#328C22semidirect
50. C61×#327C22semidirect
51. C61×#327C22semidirect
52. C61×#327C22semidirect
53. C61×#323C22semidirect
54. C61×#323C22semidirect
55. C2×#41×C61D4semidirect
64. C22×D4×C61D4semidirect
83. C22⋊Q8×C61D4semidirect
103. #121×C61D4semidirect
104. #121×C61D4semidirect
121. #117×C61D4semidirect
123. C2×C4⋊C4×C61D4semidirect
321. #18450C61direct (N × H)
362. #3537C2×C61semidirect
363. #3194C2×C61semidirect
364. #3186C2×C61semidirect
365. #2815C2×C61semidirect
366. #1612C2×C61semidirect
367. #1607C2×C61semidirect
368. #1600C2×C61semidirect
369. #1595C2×C61semidirect
370. #1516C2×C61semidirect
371. #1510C2×C61semidirect
372. #1471C2×C61semidirect
398. C2×#121C22×C61semidirect
399. #483C22×C61semidirect
402. #480C22×C61semidirect
403. #480C22×C61semidirect
407. #450C22×C61semidirect
410. #447C22×C61semidirect
411. #447C22×C61semidirect
412. #407C22×C61semidirect
413. C2×C22⋊C8C22×C61semidirect
415. #397C22×C61semidirect
418. #392C22×C61semidirect
419. #381C22×C61semidirect
420. #328C22×C61semidirect
421. #327C22×C61semidirect
422. #327C22×C61semidirect
423. #327C22×C61semidirect
424. #323C22×C61semidirect
425. #323C22×C61semidirect
426. C61#18450direct (N × H)
427. C2×#41D4×C61semidirect
436. C22×D4D4×C61semidirect
455. C22⋊Q8D4×C61semidirect
475. #121D4×C61semidirect
476. #121D4×C61semidirect
493. #117D4×C61semidirect
495. C2×C4⋊C4D4×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#35372
C61×#31942
C61×#31862
C61×#28152
C61×#16122
C61×#16072
C61×#16002
C61×#15952
C61×#15162
C61×#15102
C61×#14712
#1845061