Finite Group Databasebeta

← #29840078

Subgroups — #29840078

Order 15616.

2390 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D61C211yesmaximal, characteristic
2#21448714C211yesmaximal, characteristic, complemented
3#21448713C212yesmaximal, complemented
4#21448712C211yesmaximal, characteristic, complemented
5#21448710C211yesmaximal, characteristic, complemented
6#21448707C212yesmaximal, complemented
7#21448703C212yesmaximal, complemented
8#21448701C214yesmaximal, complemented
9#21448700C212yesmaximal, complemented
10#21448434C212yesmaximal, complemented
11#21448413C214yesmaximal
12#21448216C212yesmaximal, complemented
13#21448215C212yesmaximal, complemented
14#21448201C211yesmaximal, characteristic
15#21448200C211yesmaximal, characteristic
16#21448173C212yesmaximal, complemented
17C61×#2347C211yesmaximal, characteristic, complemented
18C23×C4×D61C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20C2×#14519735C2212yes—
21C2×#14519735C2211yescharacteristic
22C2×#14519735C2211yescharacteristic
23C2×#14519734C2212yes—
24C2×#14519734C2212yes—
25C2×#14519733C2212yes—
26#117×D61C4116yescomplemented
27C2×C4⋊C4×D61C2211yescharacteristic
28C2×C4⋊C4×D61C2211yescharacteristic
29C2×C22⋊C4×D61C2212yes—
30C2×C42×D61C2212yes—
31#16839661C2212yescomplemented
32#16839660C2212yescomplemented
33#16839659C2214yescomplemented
34#16839658C2212yescomplemented
35#16839657C2214yescomplemented
36#16839656C2214yes—
37#16839655C2214yes—
38#16839654C2214yes—
39#16839653C2214yes—
40#16839652C2214yes—
41#16839651C2214yes—
42#16839650C2214yes—
43#16839630C2212yescomplemented
44#16839629C2212yescomplemented
45#16839629C2212yescomplemented
46#16839627C2214yescomplemented
47#16839626C2214yescomplemented
48#16839624C2211yescharacteristic
49#16839624C2211yescharacteristic
50#16839624C2212yes—
51#16839622C2211yescharacteristic
52#16839621C2211yescharacteristic
53#16839621C2211yescharacteristic
54#16839621C2214yes—
55#16839620C2212yes—
56#16839619C2212yes—
57#16839619C2214yes—
58#16839617C2212yes—
59#16839617C2212yes—
60C4⋊C4×Dic61C2212yescomplemented
61C4⋊C4×Dic61C2212yescomplemented
62C4×#11758196C2214yescomplemented
63C4×C4⋊Dic61C2212yescomplemented
64C4×C4⋊Dic61C2212yescomplemented
65#16839613C2212yescomplemented
66#16839613C2214yescomplemented
67#16839613C2212yescomplemented
68C22⋊C4×Dic61C2212yes—
69C4×#11758198C2212yes—
70C4×#11758198C2214yes—
71C4×C22⋊Dic61C2211yescharacteristic
72#16839609C2212yes—
73#16839609C2214yes—
74#16839608C2214yescomplemented
75#16839607C2214yescomplemented
76C2×#117×C61C2211yescharacteristic
77C61×#389C2212yescomplemented
78C61×#388C2214yes—
79C61×#383C2212yescomplemented
80C61×#380C2211yescharacteristic
81C4×C4⋊C4×C61C2212yescomplemented
82C4×C4⋊C4×C61C2212yescomplemented
83C4×C22⋊C4×C61C2211yescharacteristic
84C24×D61C2311yescharacteristic
85C23×Dic61C2311yescharacteristic
86C22×C4×D61—28no—
87C22×C4×D61C2×C418yes—
88C22×C4×D61C2311yescharacteristic
89C22×C4×D61C2311yescharacteristic
90C22×C4×D61C2311yescharacteristic
91C22×C4×D61C2312yes—
92C22×C4×D61C2312yes—
93C22×C4×D61C2311yescharacteristic
94#14519736C2×C418yes—
95#14519735—28no—
96#14519735C2×C418yes—
97#14519735C2×C418yes—
98#14519734—28no—
99#14519734C2×C4116yes—
100#14519733C2×C4116yes—
101C2×C4⋊Dic61C2312yes—
102C2×C4⋊Dic61C2314yes—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×C4⋊Dic61C2311yescharacteristic
105C2×#11758196C2312yes—
106C2×#11758196C2312yes—
107C2×#11758196C2314yes—
108C2×#11758196C2314yes—
109C2×#11758196C2312yes—
110C2×#11758196C2312yes—
111C4⋊C4×D61C2×C418yes—
112C4⋊C4×D61C2×C418yes—
113C2×C22⋊Dic61C2312yes—
114C2×C22⋊Dic61C2312yes—
115C2×C22⋊Dic61C2312yes—
116C2×#11758198C2312yes—
117C2×#11758198C2312yes—
118C2×#11758198C2314yes—
119C2×#11758198C2314yes—
120C2×#11758198C2312yes—
121C2×#11758198C2312yes—
122C2×#11758198C2312yes—
123C2×#11758198C2312yes—
124C22⋊C4×D61C2×C4116yes—
125C2×C4×Dic61C2312yes—
126C2×C4×Dic61C2314yes—
127C2×C4×Dic61C2314yes—
128C2×C4×Dic61C2314yes—
129C2×C4×Dic61C2314yes—
130C2×C4×Dic61C2312yes—
131C2×C4×Dic61C2312yes—
132C2×C4×Dic61C2312yes—
133C42×D61C2×C4116yes—
134#14519684C2312yes—
135#14519684C2314yes—
136#14519684C2314yes—
137#14519684C2312yes—
138#14519684C2314yes—
139#14519684C2314yes—
140#14519684C2312yes—
141#14519684C2314yes—
142#14519684C2311yescharacteristic
143#14519684C2311yescharacteristic
144#14519684C2314yes—
145#14519684C2314yes—
146C23×C4×C61C2311yescharacteristic
147#117×C61C2×C418yes—
148C2×C4⋊C4×C61C2312yes—
149C2×C4⋊C4×C61C2314yes—
150C2×C4⋊C4×C61C2311yescharacteristic
151C2×C4⋊C4×C61C2311yescharacteristic
152C2×C22⋊C4×C61C2312yes—
153C2×C22⋊C4×C61C2312yes—
154C2×C22⋊C4×C61C2312yes—
155C2×C42×C61C2312yes—
156C2×C42×C61C2314yes—
157C2×C42×C61C2312yes—
158#95×C61C2311yescharacteristic
159#95×C61C2311yescharacteristic
160#95×C61C2312yes—
161#95×C61C2314yes—
162#95×C61C2314yes—
163C24×C61C2411yescharacteristic
164C23×D61—24no—
165C23×D61—41no—
166C23×D61—42no—
167C23×D61—41no—
168C23×D61C22×C414yes—
169C23×D61C2411yescharacteristic
170C23×D61C2411yescharacteristic
171C22×C4×C61—24no—
172C22×C4×C61C22×C414yes—
173C22×C4×C61C2412yes—
174C22×C4×C61C2414yes—
175C22×C4×C61C2412yes—
176C22×C4×C61C2411yescharacteristic
177C22×C4×C61C2412yes—
178C22×C4×C61C2412yes—
179C22×C4×C61C2411yescharacteristic
180C22×Dic61—24no—
181C22×Dic61C22×C414yes—
182C22×Dic61C2412yes—
183C22×Dic61C2412yes—
184C22×Dic61C2414yes—
185C22×Dic61C2411yescharacteristic
186C22×Dic61C2412yes—
187C22×Dic61C2412yes—
188C22×Dic61C2411yescharacteristic
189C2×C4×D61—24no—
190C2×C4×D61—24no—
191C2×C4×D61—24no—
192C2×C4×D61—232no—
193C2×C4×D61—42no—
194C2×C4×D61—42no—
195C2×C4×D61—44no—
196C2×C4×D61C22×C414yes—
197C2×C4×D61C22×C414yes—
198C2×C4×D61C22×C414yes—
199C2×C4×D61C22×C418yes—
200C2×C4×D61C22×C418yes—
201C2×C4×D61C22×C414yes—
202C2×C4×D61#4118yes—
203C4⋊C4×C61—24no—
204C4⋊C4×C61—44no—
205C4⋊C4×C61C22×C414yes—
206C4⋊C4×C61C22×C414yes—
207C22⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61C22×C418yes—
210C42×C61—24no—
211C42×C61—44no—
212C42×C61C22×C418yes—
213C22⋊Dic61—42no—
214C22⋊Dic61—42no—
215C22⋊Dic61C22×C418yes—
216#11758198—24no—
217#11758198—24no—
218#11758198—28no—
219#11758198—42no—
220#11758198—42no—
221#11758198—44no—
222#11758198C22×C418yes—
223#11758198C22×C418yes—
224C4⋊Dic61—24no—
225C4⋊Dic61—44no—
226C4⋊Dic61C22×C414yes—
227C4⋊Dic61C22×C414yes—
228#11758196—24no—
229#11758196—24no—
230#11758196—44no—
231#11758196—44no—
232#11758196C22×C418yes—
233#11758196C22×C418yes—
234C4×Dic61—24no—
235C4×Dic61—28no—
236C4×Dic61—44no—
237C4×Dic61—44no—
238C4×Dic61—44no—
239C4×Dic61C22×C418yes—
240C4×Dic61C22×C418yes—
241C4×Dic61C22×C418yes—
242C23×C61—22no—
243C23×C61—21no—
244C23×C61—22no—
245C23×C61—21no—
246C23×C61C23×C412yes—
247C23×C61C2511yescharacteristic
248C22×D61—21no—
249C22×D61—22no—
250C22×D61—21no—
251C22×D61—22no—
252C22×D61—21no—
253C22×D61—22no—
254C22×D61—21no—
255C22×D61—28no—
256C22×D61—44no—
257C22×D61—44no—
258C22×D61—48no—
259C22×D61—48no—
260C22×D61C23×C412yes—
261C22×D61C23×C412yes—
262C22×D61C2×#4114yes—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—22no—
267C2×C4×C61—28no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—24no—
273C2×C4×C61—22no—
274C2×C4×C61—24no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61C23×C412yes—
278C2×C4×C61C23×C414yes—
279C2×C4×C61C23×C414yes—
280C2×C4×C61C23×C412yes—
281C2×C4×C61C2×#4114yes—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—24no—
286C2×Dic61—28no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61C23×C412yes—
297C2×Dic61C23×C414yes—
298C2×Dic61C23×C414yes—
299C2×Dic61C23×C412yes—
300C2×Dic61C2×#4114yes—
301C4×D61—28no—
302C4×D61—28no—
303C4×D61—28no—
304C4×D61—48no—
305C4×D61—48no—
306C4×D61#117116yes—
307#34179—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61C24×C411yescharacteristic
314C22×C61C22×#4112yes—
315C22×C61#58511yescharacteristic
316C22×C61#58512yes—
317C22×C61#58511yescharacteristic
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—24no—
321C2×D61—24no—
322C2×D61—22no—
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—416no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61C2×#11714yes—
329C4×C61—22no—
330C4×C61—24no—
331C4×C61—24no—
332C4×C61—42no—
333C4×C61—44no—
334C4×C61—42no—
335C4×C61C2×#11714yes—
336Dic61—22no—
337Dic61—24no—
338Dic61—24no—
339Dic61—42no—
340Dic61—44no—
341Dic61—42no—
342Dic61C2×#11714yes—
343C22×#117—611no—
344#2347—612no—
345#2347—611no—
346#2347—612no—
347#2347—611no—
348#2347—611no—
349#2347D6111yescharacteristic, complemented
350#2346—612no—
351#2346—614no—
352#2346—612no—
353#2316—612no—
354#2312—614no—
355#2283—612no—
356#2283—612no—
357#2280—611no—
358#2280—611no—
359#2274—612no—
360C2×C61—42no—
361C2×C61C22×#11711yescharacteristic
362C2×C61#342811yescharacteristic
363C2×C61#342811yescharacteristic
364C2×C61#349312yes—
365C2×C61#349312yes—
366D61—24no—
367D61—42no—
368C24×C4—611no—
369C2×#117—611no—
370C2×#117—6116no—
371C2×#117—611no—
372C2×#117—611no—
373C2×#117—612no—
374C2×#117—612no—
375C2×#117—612no—
376C2×#117—612no—
377C2×#117C2×D6111yescharacteristic
378C22×C4⋊C4—611no—
379C22×C4⋊C4—611no—
380C22×C22⋊C4—612no—
381C22×C42—612no—
382#389—614no—
383#389—612no—
384#389—612no—
385#389—612no—
386#389—614no—
387#389C2×D6112yescomplemented
388#388—614no—
389#388—614no—
390#388—614no—
391#388—614no—
392#388—614no—
393#388—614no—
394#388—614no—
395#388C2×D6114yes—
396#383—612no—
397#383—612no—
398#383—612no—
399#383C2×D6112yescomplemented
400#382—614no—
401#382—614no—
402#381—612no—
403#381—611no—
404#381—611no—
405#380—611no—
406#380—614no—
407#380—612no—
408#380—612no—
409#380—614no—
410#380—611no—
411#380—611no—
412#380C2×D6111yescharacteristic
413#379—612no—
414#379—612no—
415C4×C4⋊C4—612no—
416C4×C4⋊C4—612no—
417C4×C4⋊C4—612no—
418C4×C4⋊C4—614no—
419C4×C4⋊C4—612no—
420C4×C4⋊C4—614no—
421C4×C4⋊C4—612no—
422C4×C4⋊C4—612no—
423C4×C4⋊C4C2×D6112yescomplemented
424C4×C4⋊C4C2×D6112yescomplemented
425C4×C22⋊C4—611no—
426C4×C22⋊C4—612no—
427C4×C22⋊C4—614no—
428C4×C22⋊C4—612no—
429C4×C22⋊C4—614no—
430C4×C22⋊C4—612no—
431C4×C22⋊C4C2×D6111yescharacteristic
432#376—614no—
433#376—614no—
434C61#3417911yescharacteristic, complemented, Sylow
435C25—611no—
436C23×C4—611no—
437C23×C4—611no—
438C23×C4—618no—
439C23×C4—611no—
440C23×C4—611no—
441C23×C4—611no—
442C23×C4—612no—
443C23×C4—612no—
444C23×C4—1228no—
445C23×C4C22×D6111yescharacteristic
446#117—618no—
447#117—618no—
448#117—618no—
449#117—6116no—
450#117—6116no—
451#117—1228no—
452#117—1228no—
453#117C4×D6118yes—
454C2×C4⋊C4—612no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—612no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—618no—
459C2×C4⋊C4—618no—
460C2×C4⋊C4—612no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—612no—
463C2×C4⋊C4—614no—
464C2×C4⋊C4—614no—
465C2×C4⋊C4—614no—
466C2×C4⋊C4C22×D6112yes—
467C2×C4⋊C4C22×D6114yes—
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C22⋊C4—612no—
471C2×C22⋊C4—612no—
472C2×C22⋊C4—612no—
473C2×C22⋊C4—6116no—
474C2×C22⋊C4—612no—
475C2×C22⋊C4—614no—
476C2×C22⋊C4—612no—
477C2×C22⋊C4—612no—
478C2×C22⋊C4—612no—
479C2×C22⋊C4—612no—
480C2×C22⋊C4—614no—
481C2×C22⋊C4—612no—
482C2×C22⋊C4C22×D6112yes—
483C2×C22⋊C4C22×D6112yes—
484C2×C22⋊C4C22×D6112yes—
485C2×C42—612no—
486C2×C42—612no—
487C2×C42—612no—
488C2×C42—6116no—
489C2×C42—614no—
490C2×C42—612no—
491C2×C42—614no—
492C2×C42—614no—
493C2×C42—614no—
494C2×C42C22×D6112yes—
495C2×C42C22×D6114yes—
496C2×C42C22×D6112yes—
497#95—612no—
498#95—614no—
499#95—612no—
500#95—614no—
501#95—614no—
502#95—614no—
503#95—611no—
504#95—611no—
505#95—612no—
506#95—614no—
507#95—614no—
508#95—614no—
509#95C22×D6114yes—
510#95C22×D6112yes—
511#95C22×D6114yes—
512#95C22×D6111yescharacteristic
513#95C22×D6111yescharacteristic
514C24—611no—
515C24—611no—
516C24—614no—
517C24—1224no—
518C24—2441no—
519C24—2442no—
520C24—2441no—
521C24C23×D6111yescharacteristic
522C22×C4—24no—
523C22×C4—611no—
524C22×C4—614no—
525C22×C4—618no—
526C22×C4—614no—
527C22×C4—611no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—614no—
531C22×C4—614no—
532C22×C4—614no—
533C22×C4—618no—
534C22×C4—618no—
535C22×C4—612no—
536C22×C4—612no—
537C22×C4—614no—
538C22×C4—1224no—
539C22×C4—12232no—
540C22×C4—1224no—
541C22×C4—1224no—
542C22×C4—1224no—
543C22×C4—2442no—
544C22×C4—2444no—
545C22×C4—2442no—
546C22×C4C2×C4×D6114yes—
547C22×C4C23×D6112yes—
548C22×C4C23×D6114yes—
549C22×C4C23×D6112yes—
550C22×C4C23×D6111yescharacteristic
551C22×C4C23×D6112yes—
552C22×C4C23×D6112yes—
553C22×C4C23×D6111yescharacteristic
554C4⋊C4—24no—
555C4⋊C4—44no—
556C4⋊C4—618no—
557C4⋊C4—618no—
558C4⋊C4—614no—
559C4⋊C4—614no—
560C4⋊C4—1224no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—2444no—
564C4⋊C4—2444no—
565C4⋊C4—2444no—
566C4⋊C4C2×C4×D6114yes—
567C4⋊C4C2×C4×D6114yes—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—618no—
571C22⋊C4—618no—
572C22⋊C4—618no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C22⋊C4—1228no—
576C22⋊C4—2442no—
577C22⋊C4—2444no—
578C22⋊C4—2442no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4C2×C4×D6118yes—
582C42—24no—
583C42—44no—
584C42—618no—
585C42—618no—
586C42—618no—
587C42—1228no—
588C42—1224no—
589C42—2444no—
590C42—2444no—
591C42—2444no—
592C42C2×C4×D6118yes—
593C23—22no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—612no—
598C23—614no—
599C23—612no—
600C23—1228no—
601C23—1221no—
602C23—1222no—
603C23—1221no—
604C23—1222no—
605C23—1221no—
606C23—1222no—
607C23—1221no—
608C23—2444no—
609C23—2444no—
610C23—2448no—
611C23—2448no—
612C23C22×C4×D6112yes—
613C23C24×D6111yescharacteristic
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—28no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—24no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—612no—
629C2×C4—614no—
630C2×C4—6116no—
631C2×C4—612no—
632C2×C4—614no—
633C2×C4—614no—
634C2×C4—1228no—
635C2×C4—1228no—
636C2×C4—1228no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1224no—
640C2×C4—1222no—
641C2×C4—1228no—
642C2×C4—1222no—
643C2×C4—1224no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1224no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1224no—
651C2×C4—2448no—
652C2×C4—2448no—
653C2×C4C22×C4×D6112yes—
654C2×C4C22×C4×D6114yes—
655C2×C4C22×C4×D6114yes—
656C2×C4C22×C4×D6112yes—
657C2×C4#41×D6114yes—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—42no—
662C22—42no—
663C22—614no—
664C22—1222no—
665C22—1222no—
666C22—1224no—
667C22—1224no—
668C22—1222no—
669C22—1222no—
670C22—1222no—
671C22—24416no—
672C22—2442no—
673C22—2442no—
674C22C23×C4×D6111yescharacteristic
675C22C2×#41×D6112yes—
676C22#1684059711yescharacteristic
677C22#1684059812yes—
678C22#1684059911yescharacteristic
679C4—22no—
680C4—24no—
681C4—24no—
682C4—42no—
683C4—42no—
684C4—44no—
685C4—614no—
686C4—1222no—
687C4—1224no—
688C4—1224no—
689C4—2442no—
690C4—2444no—
691C4—2442no—
692C4#117×D6114yes—
693C2—42no—
694C2—1224no—
695C2—2442no—
696C2C2×#117×D6111yescharacteristic
697C2#2145901811yescharacteristic
698C2#2145901911yescharacteristic
699C2#2145953312yes—
700C2#2145953512yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2347C2
socle, cosocleC23×C61C25
prime radicalC24×D61C23
hypercenter#2347D61
hypocenterC61#34179
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2347

Complements

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

NH ≅ G/Ntype
2. #21448714C2semidirect
3. #21448713C2semidirect
4. #21448712C2semidirect
5. #21448710C2semidirect
6. #21448707C2semidirect
7. #21448703C2semidirect
8. #21448701C2semidirect
9. #21448700C2semidirect
10. #21448434C2semidirect
12. #21448216C2semidirect
13. #21448215C2semidirect
16. #21448173C2semidirect
17. C61×#2347C2semidirect
26. #117×D61C4semidirect
31. #16839661C22semidirect
32. #16839660C22semidirect
33. #16839659C22semidirect
34. #16839658C22semidirect
35. #16839657C22semidirect
43. #16839630C22semidirect
44. #16839629C22semidirect
45. #16839629C22semidirect
46. #16839627C22semidirect
47. #16839626C22semidirect
60. C4⋊C4×Dic61C22semidirect
61. C4⋊C4×Dic61C22semidirect
62. C4×#11758196C22semidirect
63. C4×C4⋊Dic61C22semidirect
64. C4×C4⋊Dic61C22semidirect
65. #16839613C22semidirect
66. #16839613C22semidirect
67. #16839613C22semidirect
74. #16839608C22semidirect
75. #16839607C22semidirect
77. C61×#389C22semidirect
79. C61×#383C22semidirect
81. C4×C4⋊C4×C61C22semidirect
82. C4×C4⋊C4×C61C22semidirect
349. #2347D61semidirect
387. #389C2×D61semidirect
399. #383C2×D61semidirect
423. C4×C4⋊C4C2×D61semidirect
424. C4×C4⋊C4C2×D61semidirect
434. C61#34179semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D612
#214487142
#214487132
#214487122
#214487102
#214487072
#214487032
#214487012
#214487002
#214484342
#214484132
#214482162
#214482152
#214482012
#214482002
#214481732
C61×#23472
#3417961