Finite Group Databasebeta

← C61×#18418 #29521851

Subgroups — C61×#18418 #29521851

Order 15616.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3537C211yesmaximal, characteristic, complemented
2C61×#3192C211yesmaximal, characteristic, complemented
3C61×#3188C211yesmaximal, characteristic, complemented
4C61×#2656C211yesmaximal, characteristic, complemented
5C61×#1618C212yesmaximal, complemented
6C61×#1613C212yesmaximal, complemented
7C61×#1600C212yesmaximal, complemented
8C61×#1595C212yesmaximal, complemented
9C61×#1504C211yesmaximal, characteristic, complemented
10C2×C61×#327C211yesmaximal, 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×C61—22no—
26C2×#121×C61C2211yescharacteristic
27C2×#121×C61C2211yescharacteristic
28C2×#121×C61C2211yescharacteristic, complemented
29C61×#484C2211yescharacteristic, complemented
30C61×#482—21no—
31C61×#481—21no—
32C61×#481C2211yescharacteristic, complemented
33C61×#481C2212yescomplemented
34C61×#469—22no—
35C61×#466—21no—
36C61×#465—21no—
37C61×#450C2211yescharacteristic, complemented
38C61×#449—21no—
39C61×#447—21no—
40C61×#447C2211yescharacteristic, complemented
41C61×#447C2212yescomplemented
42C61×#407C2211yescharacteristic, complemented
43C2×C22⋊C8×C61C2211yescharacteristic, complemented
44C61×#399—21no—
45C61×#399C2212yescomplemented
46C61×#392—21no—
47C61×#392C2212yescomplemented
48C2×#95×C61C2211yescharacteristic, 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×C61—21no—
67C23×C4×C61C2311yescharacteristic
68C2×SD16×C61—21no—
69C2×D8×C61—22no—
70C2×D8×C61—21no—
71C2×M16×C61—21no—
72C22×C8×C61—21no—
73#127×C61—22no—
74#127×C61—21no—
75#126×C61—22no—
76#126×C61—22no—
77#125×C61—21no—
78#124×C61—22no—
79#123×C61—22no—
80#123×C61—21no—
81#123×C61—22no—
82#123×C61—22no—
83#123×C61—22no—
84C22⋊Q8×C61D411yescharacteristic, complemented
85C22⋊Q8×C61C2311yescharacteristic
86#121×C61—22no—
87#121×C61—21no—
88#121×C61—21no—
89#121×C61—22no—
90#121×C61—22no—
91#121×C61—22no—
92#121×C61—22no—
93#121×C61—21no—
94#121×C61—22no—
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×C61—21no—
104#121×C61—48no—
105#121×C61D411yescharacteristic, complemented
106#121×C61D412yescomplemented
107#121×C61C2311yescharacteristic
108#121×C61C2312yes—
109#120×C61—22no—
110#120×C61—22no—
111#120×C61—22no—
112#120×C61—22no—
113#120×C61—21no—
114#120×C61—22no—
115#120×C61—22no—
116C4×D4×C61—22no—
117C4×D4×C61—21no—
118C4×D4×C61—21no—
119C4×D4×C61—22no—
120C4×D4×C61—21no—
121C4×D4×C61—21no—
122#117×C61—21no—
123#117×C61D411yescharacteristic, complemented
124C2×C4⋊C4×C61—22no—
125C2×C4⋊C4×C61D411yescharacteristic
126C2×C4⋊C4×C61D411yescharacteristic, complemented
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C22⋊C4×C61—21no—
129C2×C22⋊C4×C61—22no—
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—22no—
132C2×C22⋊C4×C61C2312yes—
133#107×C61—21no—
134#106×C61—21no—
135#106×C61—22no—
136#103×C61—21no—
137#102×C61—22no—
138#102×C61—21no—
139#102×C61—21no—
140#102×C61—22no—
141#102×C61—21no—
142C22⋊C8×C61—21no—
143C22⋊C8×C61—21no—
144C22⋊C8×C61C2311yescharacteristic
145C22⋊C8×C61C2311yescharacteristic
146C22⋊C8×C61C2312yes—
147#95×C61—21no—
148#95×C61C2312yes—
149C24×C61—22no—
150C24×C61—21no—
151C24×C61—21no—
152C24×C61C2×D411yescharacteristic
153C24×C61C2×D412yes—
154#41×C61—81no—
155C2×Q8×C61C2×D411yescharacteristic
156C2×D4×C61—22no—
157C2×D4×C61—21no—
158C2×D4×C61—22no—
159C2×D4×C61—21no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—22no—
163C2×D4×C61—22no—
164C2×D4×C61—22no—
165C2×D4×C61—21no—
166C2×D4×C61—22no—
167C2×D4×C61—22no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61—44no—
174C2×D4×C61—44no—
175C2×D4×C61—44no—
176C2×D4×C61—41no—
177C2×D4×C61—41no—
178C2×D4×C61—81no—
179C2×D4×C61—81no—
180C2×D4×C61—82no—
181C2×D4×C61—81no—
182C2×D4×C61—82no—
183C2×D4×C61—82no—
184C2×D4×C61—81no—
185C2×D4×C61—81no—
186C2×D4×C61—82no—
187C2×D4×C61—82no—
188C2×D4×C61—84no—
189C2×D4×C61C2×D411yescharacteristic
190C2×D4×C61C2×D412yes—
191C22×C4×C61—22no—
192C22×C4×C61—22no—
193C22×C4×C61—22no—
194C22×C4×C61—24no—
195C22×C4×C61—21no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—81no—
199C22×C4×C61—81no—
200C22×C4×C61—81no—
201C22×C4×C61C2×D412yes—
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D411yescharacteristic
204C22×C4×C61C2×D411yescharacteristic
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D411yescharacteristic
207C22×C4×C61C2411yescharacteristic
208SD16×C61—81no—
209D8×C61—81no—
210D8×C61—82no—
211M16×C61—81no—
212C2×C8×C61—21no—
213C2×C8×C61—22no—
214C2×C8×C61—21no—
215C2×C8×C61—81no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—22no—
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—44no—
226C4⋊C4×C61C2×D412yes—
227C4⋊C4×C61C2×D411yescharacteristic
228C4⋊C4×C61C2×D411yescharacteristic
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—22no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—22no—
240C22⋊C4×C61—22no—
241C22⋊C4×C61—22no—
242C22⋊C4×C61—21no—
243C22⋊C4×C61—44no—
244C22⋊C4×C61—44no—
245C22⋊C4×C61—41no—
246C22⋊C4×C61—41no—
247C42×C61—22no—
248C42×C61—21no—
249C23×C61—21no—
250C23×C61—21no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—22no—
254C23×C61—21no—
255C23×C61—22no—
256C23×C61—22no—
257C23×C61—41no—
258C23×C61—42no—
259C23×C61—42no—
260C23×C61—42no—
261C23×C61—42no—
262C23×C61—42no—
263C23×C61—41no—
264C23×C61—41no—
265C23×C61—41no—
266C23×C61—81no—
267C23×C61—81no—
268C23×C61—82no—
269C23×C61—82no—
270C23×C61—82no—
271C23×C61#12011yescharacteristic
272C23×C61#12011yescharacteristic
273C23×C61C22×D411yescharacteristic
274Q8×C61—41no—
275D4×C61—42no—
276D4×C61—41no—
277D4×C61—42no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—41no—
281D4×C61—41no—
282D4×C61—42no—
283D4×C61—41no—
284D4×C61—42no—
285D4×C61—41no—
286D4×C61—44no—
287D4×C61—42no—
288D4×C61—81no—
289D4×C61—82no—
290D4×C61—82no—
291D4×C61—81no—
292D4×C61—82no—
293D4×C61—82no—
294D4×C61—82no—
295D4×C61—82no—
296D4×C61—82no—
297D4×C61—88no—
298D4×C61—82no—
299D4×C61—82no—
300C2×C4×C61—24no—
301C2×C4×C61—21no—
302C2×C4×C61—22no—
303C2×C4×C61—22no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—41no—
312C2×C4×C61—42no—
313C2×C4×C61—42no—
314C2×C4×C61—42no—
315C2×C4×C61—42no—
316C2×C4×C61—42no—
317C2×C4×C61—41no—
318C2×C4×C61—81no—
319C2×C4×C61—84no—
320C2×C4×C61—82no—
321C2×C4×C61—82no—
322C2×C4×C61#12011yescharacteristic
323C2×C4×C61#12011yescharacteristic
324C2×C4×C61C22×D411yescharacteristic
325C2×C4×C61C22×D411yescharacteristic
326C8×C61—41no—
327C8×C61—41no—
328C8×C61—42no—
329#18418C6111yesmaximal, characteristic, direct product factor, Sylow
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—42no—
338C22×C61—42no—
339C22×C61—42no—
340C22×C61—42no—
341C22×C61—41no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—42no—
347C22×C61—42no—
348C22×C61—82no—
349C22×C61—82no—
350C22×C61—82no—
351C22×C61—82no—
352C22×C61—81no—
353C22×C61—81no—
354C22×C61—81no—
355C22×C61—162no—
356C22×C61—164no—
357C22×C61#45312yes—
358C22×C61C2×#12011yescharacteristic
359C22×C61#57611yescharacteristic
360C22×C61#57711yescharacteristic
361C4×C61—21no—
362C4×C61—21no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—44no—
366C4×C61—42no—
367C4×C61—41no—
368C4×C61—42no—
369C4×C61—41no—
370C4×C61—41no—
371C4×C61—81no—
372#3537C2×C6111yescharacteristic, complemented
373#3192C2×C6111yescharacteristic, complemented
374#3188C2×C6111yescharacteristic, complemented
375#2656C2×C6111yescharacteristic, complemented
376#1618C2×C6112yescomplemented
377#1613C2×C6112yescomplemented
378#1600C2×C6112yescomplemented
379#1595C2×C6112yescomplemented
380#1504C2×C6111yescharacteristic, complemented
381C2×#327C2×C6111yescharacteristic, complemented
382#1471C2×C6111yescharacteristic, complemented
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—22no—
386C2×C61—41no—
387C2×C61—82no—
388C2×C61—82no—
389C2×C61—81no—
390C2×C61—161no—
391C2×C61#301211yescharacteristic
392C2×C61C2×#45311yescharacteristic
393C2×C61#302611yescharacteristic
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C22×C6112yes—
403#535—21no—
404#534—21no—
405#534C22×C6112yes—
406#525C22×C6111yescharacteristic
407C2×#121—22no—
408C2×#121C22×C6111yescharacteristic
409C2×#121C22×C6111yescharacteristic
410C2×#121C22×C6111yescharacteristic, complemented
411#484C22×C6111yescharacteristic, complemented
412#482—21no—
413#481—21no—
414#481C22×C6111yescharacteristic, complemented
415#481C22×C6112yescomplemented
416#469—22no—
417#466—21no—
418#465—21no—
419#450C22×C6111yescharacteristic, complemented
420#449—21no—
421#447—21no—
422#447C22×C6111yescharacteristic, complemented
423#447C22×C6112yescomplemented
424#407C22×C6111yescharacteristic, complemented
425C2×C22⋊C8C22×C6111yescharacteristic, complemented
426#399—21no—
427#399C22×C6112yescomplemented
428#392—21no—
429#392C22×C6112yescomplemented
430C2×#95C22×C6111yescharacteristic, complemented
431#328C22×C6112yescomplemented
432#327C22×C6112yescomplemented
433#327C22×C6112yescomplemented
434#327C22×C6112yescomplemented
435#323C22×C6112yescomplemented
436#323C22×C6112yescomplemented
437C61#1841811yescharacteristic, direct product factor, Sylow
438C2×#41D4×C6111yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C6112yes—
446C22×D4D4×C6111yescharacteristic
447C22×D4D4×C6111yescharacteristic, complemented
448C22×D4C23×C6111yescharacteristic
449C23×C4—21no—
450C23×C4C23×C6111yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C6111yescharacteristic, complemented
468C22⋊Q8C23×C6111yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C6112yescomplemented
489#121D4×C6111yescharacteristic, complemented
490#121C23×C6112yes—
491#121C23×C6111yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C6111yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C6111yescharacteristic
509C2×C4⋊C4D4×C6111yescharacteristic, complemented
510C2×C4⋊C4C23×C6111yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C6112yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C6111yescharacteristic
528C22⋊C8C23×C6111yescharacteristic
529C22⋊C8C23×C6112yes—
530#95—21no—
531#95C23×C6112yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C6111yescharacteristic
536C24C2×D4×C6112yes—
537#41—81no—
538C2×Q8C2×D4×C6111yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C6111yescharacteristic
573C2×D4C2×D4×C6112yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C6112yes—
585C22×C4C2×D4×C6111yescharacteristic
586C22×C4C2×D4×C6111yescharacteristic
587C22×C4C2×D4×C6111yescharacteristic
588C22×C4C2×D4×C6111yescharacteristic
589C22×C4C2×D4×C6111yescharacteristic
590C22×C4C24×C6111yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C6112yes—
610C4⋊C4C2×D4×C6111yescharacteristic
611C4⋊C4C2×D4×C6111yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C6111yescharacteristic
655C23#120×C6111yescharacteristic
656C23C22×D4×C6111yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—42no—
666D4—41no—
667D4—42no—
668D4—41no—
669D4—44no—
670D4—42no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C6111yescharacteristic
706C2×C4#120×C6111yescharacteristic
707C2×C4C22×D4×C6111yescharacteristic
708C2×C4C22×D4×C6111yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22C61×#45312yes—
740C22C2×#120×C6111yescharacteristic
741C22C61×#57611yescharacteristic
742C22C61×#57711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C61×#301211yescharacteristic
763C2C2×C61×#45311yescharacteristic
764C2C61×#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×#3192C2semidirect
3. C61×#3188C2semidirect
4. C61×#2656C2semidirect
5. C61×#1618C2semidirect
6. C61×#1613C2semidirect
7. C61×#1600C2semidirect
8. C61×#1595C2semidirect
9. C61×#1504C2semidirect
10. C2×C61×#327C2semidirect
11. C61×#1471C2semidirect
28. C2×#121×C61C22semidirect
29. C61×#484C22semidirect
32. C61×#481C22semidirect
33. C61×#481C22semidirect
37. C61×#450C22semidirect
40. C61×#447C22semidirect
41. C61×#447C22semidirect
42. C61×#407C22semidirect
43. C2×C22⋊C8×C61C22semidirect
45. C61×#399C22semidirect
47. C61×#392C22semidirect
48. C2×#95×C61C22semidirect
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
84. C22⋊Q8×C61D4semidirect
105. #121×C61D4semidirect
106. #121×C61D4semidirect
123. #117×C61D4semidirect
126. C2×C4⋊C4×C61D4semidirect
329. #18418C61direct (N × H)
372. #3537C2×C61semidirect
373. #3192C2×C61semidirect
374. #3188C2×C61semidirect
375. #2656C2×C61semidirect
376. #1618C2×C61semidirect
377. #1613C2×C61semidirect
378. #1600C2×C61semidirect
379. #1595C2×C61semidirect
380. #1504C2×C61semidirect
381. C2×#327C2×C61semidirect
382. #1471C2×C61semidirect
410. C2×#121C22×C61semidirect
411. #484C22×C61semidirect
414. #481C22×C61semidirect
415. #481C22×C61semidirect
419. #450C22×C61semidirect
422. #447C22×C61semidirect
423. #447C22×C61semidirect
424. #407C22×C61semidirect
425. C2×C22⋊C8C22×C61semidirect
427. #399C22×C61semidirect
429. #392C22×C61semidirect
430. C2×#95C22×C61semidirect
431. #328C22×C61semidirect
432. #327C22×C61semidirect
433. #327C22×C61semidirect
434. #327C22×C61semidirect
435. #323C22×C61semidirect
436. #323C22×C61semidirect
437. C61#18418direct (N × H)
438. C2×#41D4×C61semidirect
447. C22×D4D4×C61semidirect
467. C22⋊Q8D4×C61semidirect
488. #121D4×C61semidirect
489. #121D4×C61semidirect
506. #117D4×C61semidirect
509. 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×#31922
C61×#31882
C61×#26562
C61×#16182
C61×#16132
C61×#16002
C61×#15952
C61×#15042
C2×C61×#3272
C61×#14712
#1841861