Finite Group Databasebeta

← #29842753

Subgroups — #29842753

Order 15616.

2502 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519761C211yesmaximal, characteristic
2#21448965C214yesmaximal, complemented
3#21448949C214yesmaximal, complemented
4#21448690C212yesmaximal, complemented
5#21448686C212yesmaximal, complemented
6#21448671C212yesmaximal, complemented
7#21448665C212yesmaximal, complemented
8#21448614C214yesmaximal, complemented
9#21448602C214yesmaximal, complemented
10#21448417C211yesmaximal, characteristic, complemented
11#21448400C211yesmaximal, characteristic
12#21448395C211yesmaximal, characteristic
13#21448197C211yesmaximal, characteristic, complemented
14#21448197C211yesmaximal, characteristic, complemented
15C61×#2312C211yesmaximal, characteristic, complemented
16C23×C22⋊D61C2211yescharacteristic
17C24×Dic61C2211yescharacteristic
18C2×#14519761C4116yescomplemented
19C2×#14519761C2212yes—
20C2×#14519761C2212yes—
21C2×#14519761C2212yes—
22C2×#14519761C2212yes—
23C2×#14519733C2212yes—
24C2×#14519733C2212yes—
25C2×#14519733C2212yes—
26C22×C4⋊Dic61C2211yescharacteristic
27C22×C4⋊Dic61C2211yescharacteristic
28C22×#11758198C2211yescharacteristic
29C22×#11758198C2211yescharacteristic
30C2×C22⋊C4×D61C2212yes—
31#16839662C2214yes—
32#16839662C2214yes—
33#16839660C2214yescomplemented
34#16839658C2214yescomplemented
35#16839655C2214yescomplemented
36#16839655C2214yescomplemented
37#16839654C2214yescomplemented
38#16839653C2214yescomplemented
39#16839652C2214yescomplemented
40#16839651C2214yescomplemented
41#16839647C2214yescomplemented
42#16839647C2214yescomplemented
43#16839645C2214yescomplemented
44#16839645C2214yescomplemented
45#16839638C2214yes—
46#16839638C2214yes—
47#16839636C2214yescomplemented
48#16839633C2214yescomplemented
49#16839623C2212yes—
50#16839623C2212yes—
51#16839623C2212yes—
52#16839622C2212yes—
53#16839620C2212yescomplemented
54#16839620C2212yescomplemented
55#16839620C2212yescomplemented
56#16839620C2212yescomplemented
57#16839618C2211yescharacteristic
58#16839618C2211yescharacteristic
59#16839617C2212yes—
60C4⋊C4×Dic61C2214yescomplemented
61C4×C4⋊Dic61C2214yescomplemented
62C22⋊C4×Dic61C2212yescomplemented
63C22⋊C4×Dic61C2212yescomplemented
64C22⋊C4×Dic61C2212yescomplemented
65C22⋊C4×Dic61C2212yescomplemented
66C4×#11758198C2214yescomplemented
67C4×C22⋊Dic61C2212yes—
68#16839609C2214yescomplemented
69C22×C22⋊C4×C61C2211yescharacteristic
70C61×#388C2214yescomplemented
71C61×#388C2214yescomplemented
72C61×#380C2212yes—
73C61×#379C2211yescharacteristic
74C61×#379C2211yescharacteristic
75C4×C22⋊C4×C61C2212yes—
76C24×D61C2311yescharacteristic
77C22×C22⋊D61—44no—
78C22×C22⋊D61C2×C418yes—
79C22×C22⋊D61C2312yes—
80C22×C22⋊D61C2312yes—
81C23×Dic61—44no—
82C23×Dic61C2×C418yescomplemented
83C23×Dic61C2311yescharacteristic
84C23×Dic61C2311yescharacteristic
85C23×Dic61C2311yescharacteristic
86C23×Dic61C2311yescharacteristic
87C23×Dic61C2311yescharacteristic
88C23×Dic61C2311yescharacteristic
89C23×Dic61C2311yescharacteristic
90C22×C4×D61C2314yes—
91#14519761C2×C4116yescomplemented
92#14519761C2×C4116yescomplemented
93#14519761C2×C4116yescomplemented
94#14519761C2×C4116yescomplemented
95#14519733—44no—
96#14519733—44no—
97#14519733—44no—
98C2×C4⋊Dic61C2×C418yescomplemented
99C2×C4⋊Dic61C2×C418yescomplemented
100C2×C4⋊Dic61C2314yes—
101C2×C4⋊Dic61C2312yes—
102C2×C4⋊Dic61C2312yes—
103C2×C4⋊Dic61C2312yes—
104C2×C4⋊Dic61C2312yes—
105C2×#11758196C2314yes—
106C2×#11758196C2314yes—
107C2×#11758196C2314yes—
108C2×C22⋊Dic61C2312yes—
109C2×C22⋊Dic61C2312yes—
110C2×C22⋊Dic61C2312yes—
111C2×C22⋊Dic61C2312yes—
112C2×C22⋊Dic61C2312yes—
113C2×C22⋊Dic61C2312yes—
114C2×#11758198C2×C418yes—
115C2×#11758198C2×C418yes—
116C2×#11758198C2314yes—
117C2×#11758198C2314yes—
118C2×#11758198C2314yes—
119C2×#11758198C2312yes—
120C2×#11758198C2312yes—
121C2×#11758198C2312yes—
122C2×#11758198C2312yes—
123C22⋊C4×D61—44no—
124C2×C4×Dic61C2314yes—
125C2×C4×Dic61C2314yes—
126C2×C4×Dic61C2314yes—
127C2×C4×Dic61C2314yes—
128#14519684C2314yes—
129#14519684C2314yes—
130#14519684C2314yes—
131#14519684C2314yes—
132#14519684C2314yes—
133#14519684C2314yes—
134#14519684C2314yes—
135#14519684C2314yes—
136C25×C61C2311yescharacteristic
137C23×C4×C61C2311yescharacteristic
138C23×C4×C61C2311yescharacteristic
139C2×C4⋊C4×C61C2314yes—
140C2×C22⋊C4×C61C2×C418yescomplemented
141C2×C22⋊C4×C61C2312yes—
142C2×C22⋊C4×C61C2312yes—
143C2×C22⋊C4×C61C2312yes—
144C2×C22⋊C4×C61C2312yes—
145C2×C22⋊C4×C61C2312yes—
146C2×C22⋊C4×C61C2312yes—
147C2×C22⋊C4×C61C2312yes—
148C2×C22⋊C4×C61C2312yes—
149C2×C42×C61C2314yes—
150#95×C61C2314yes—
151#95×C61C2314yes—
152C24×C61—24no—
153C24×C61—42no—
154C24×C61—42no—
155C24×C61C22×C414yes—
156C24×C61C2411yescharacteristic
157C24×C61C2411yescharacteristic
158C24×C61C2411yescharacteristic
159C23×D61—24no—
160C23×D61—42no—
161C23×D61—42no—
162C23×D61C22×C414yes—
163C23×D61C2412yes—
164C22×C4×C61—42no—
165C22×C4×C61—42no—
166C22×C4×C61C22×C414yes—
167C22×C4×C61C22×C414yes—
168C22×C4×C61C2414yes—
169C22×C4×C61C2414yes—
170C22×C4×C61C2412yes—
171C22×C4×C61C2412yes—
172C2×C22⋊D61—416no—
173C2×C22⋊D61—42no—
174C2×C22⋊D61—42no—
175C2×C22⋊D61—42no—
176C2×C22⋊D61—42no—
177C2×C22⋊D61C22×C418yes—
178C2×C22⋊D61C22×C418yes—
179C22×Dic61—24no—
180C22×Dic61—24no—
181C22×Dic61—24no—
182C22×Dic61—416no—
183C22×Dic61—42no—
184C22×Dic61—42no—
185C22×Dic61—42no—
186C22×Dic61—42no—
187C22×Dic61C22×C414yes—
188C22×Dic61C22×C414yes—
189C22×Dic61C22×C414yes—
190C22×Dic61C22×C414yes—
191C22×Dic61C22×C414yes—
192C22×Dic61C22×C414yes—
193C22×Dic61C22×C414yes—
194C22×Dic61C2414yes—
195C22×Dic61C2414yes—
196C22×Dic61C2411yescharacteristic
197C22×Dic61C2411yescharacteristic
198C22×Dic61C2411yescharacteristic
199C22×Dic61C2411yescharacteristic
200C22×Dic61C2412yes—
201C2×C4×D61—44no—
202C2×C4×D61—44no—
203C2×C4×D61—44no—
204C4⋊C4×C61—44no—
205C22⋊C4×C61—24no—
206C22⋊C4×C61—24no—
207C22⋊C4×C61—42no—
208C22⋊C4×C61—42no—
209C22⋊C4×C61—42no—
210C22⋊C4×C61—42no—
211C22⋊C4×C61C22×C418yes—
212C22⋊C4×C61C22×C418yes—
213C42×C61—44no—
214C22⋊Dic61—24no—
215C22⋊Dic61—24no—
216C22⋊Dic61—42no—
217C22⋊Dic61—42no—
218C22⋊Dic61—42no—
219C22⋊Dic61—42no—
220#11758198—44no—
221#11758198—44no—
222#11758198—44no—
223#11758198C22×C418yes—
224#11758198C22×C418yes—
225#11758198C22×C418yes—
226#11758198C22×C418yes—
227C4⋊Dic61—44no—
228C4⋊Dic61C22×C418yes—
229C4⋊Dic61C22×C418yes—
230C4⋊Dic61C22×C418yes—
231C4⋊Dic61C22×C418yes—
232#11758196—44no—
233#11758196—44no—
234#11758196—44no—
235C4×Dic61—44no—
236C4×Dic61—44no—
237C4×Dic61—44no—
238C4×Dic61—44no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—28no—
242C23×C61—22no—
243C23×C61—22no—
244C23×C61—22no—
245C23×C61—22no—
246C23×C61—22no—
247C23×C61—22no—
248C23×C61—44no—
249C23×C61—44no—
250C23×C61—416no—
251C23×C61C23×C412yes—
252C23×C61C23×C412yes—
253C23×C61C23×C412yes—
254C23×C61H(5,𝔽2)14yes—
255C23×C61C2511yescharacteristic
256C22×D61—22no—
257C22×D61—22no—
258C22×D61—24no—
259C22×D61—24no—
260C22×D61—28no—
261C22×D61—44no—
262C22×D61—44no—
263C22×D61—88no—
264C22×D61C23×C414yes—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
273C2×C4×C61—44no—
274C2×C4×C61—44no—
275C2×C4×C61C23×C414yes—
276C2×C4×C61C23×C414yes—
277C22⋊D61—48no—
278C22⋊D61—48no—
279C2×Dic61—28no—
280C2×Dic61—28no—
281C2×Dic61—28no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—24no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—44no—
295C2×Dic61—44no—
296C2×Dic61—44no—
297C2×Dic61—44no—
298C2×Dic61C23×C414yes—
299C2×Dic61C23×C412yes—
300C2×Dic61C23×C412yes—
301C2×Dic61C23×C412yes—
302C2×Dic61C23×C412yes—
303C4×D61—88no—
304#34357—611nomaximal, Sylow
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—28no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—416no—
315C22×C61—44no—
316C22×C61—44no—
317C22×C61#51814yes—
318C22×C61C24×C411yescharacteristic
319C22×C61C2×H(5,𝔽2)12yes—
320C22×C61#58512yes—
321C22×C61#58512yes—
322C2×D61—24no—
323C2×D61—24no—
324C2×D61—24no—
325C2×D61—44no—
326C2×D61—44no—
327C2×D61—88no—
328C4×C61—24no—
329C4×C61—24no—
330C4×C61—44no—
331C4×C61—44no—
332Dic61—22no—
333Dic61—22no—
334Dic61—22no—
335Dic61—22no—
336Dic61—24no—
337Dic61—44no—
338Dic61—44no—
339C22×#123—611no—
340#2376—614no—
341#2374—614no—
342#2344—612no—
343#2344—612no—
344#2342—612no—
345#2342—612no—
346#2335—614no—
347#2335—614no—
348#2312—611no—
349#2312D6111yescharacteristic, complemented
350#2309—611no—
351#2308—611no—
352#2280—611no—
353#2280—611no—
354C2×C61—24no—
355C2×C61—42no—
356C2×C61—42no—
357C2×C61C2×#51811yescharacteristic
358C2×C61#342811yescharacteristic
359C2×C61#342811yescharacteristic
360C2×C61#353314yes—
361D61—44no—
362C23×D4—611no—
363C24×C4—611no—
364C2×#123—6116no—
365C2×#123—612no—
366C2×#123—612no—
367C2×#123—612no—
368C2×#123—612no—
369C2×#117—612no—
370C2×#117—612no—
371C2×#117—612no—
372C22×C4⋊C4—611no—
373C22×C4⋊C4—611no—
374C22×C22⋊C4—611no—
375C22×C22⋊C4—611no—
376C22×C22⋊C4—612no—
377C22×C22⋊C4C2×D6111yescharacteristic
378#390—614no—
379#390—614no—
380#389—614no—
381#389—614no—
382#388—614no—
383#388—614no—
384#388—614no—
385#388—614no—
386#388—614no—
387#388—614no—
388#388C2×D6114yescomplemented
389#388C2×D6114yescomplemented
390#387—614no—
391#387—614no—
392#387—614no—
393#387—614no—
394#386—614no—
395#386—614no—
396#385—614no—
397#385—614no—
398#381—612no—
399#381—612no—
400#381—612no—
401#380—612no—
402#380—612no—
403#380—612no—
404#380—612no—
405#380—612no—
406#380C2×D6112yes—
407#379—611no—
408#379—611no—
409#379—612no—
410#379C2×D6111yescharacteristic
411#379C2×D6111yescharacteristic
412C4×C4⋊C4—614no—
413C4×C4⋊C4—614no—
414C4×C22⋊C4—612no—
415C4×C22⋊C4—612no—
416C4×C22⋊C4—612no—
417C4×C22⋊C4—612no—
418C4×C22⋊C4—612no—
419C4×C22⋊C4—614no—
420C4×C22⋊C4—614no—
421C4×C22⋊C4C2×D6112yes—
422C61#3435711yescharacteristic, complemented, Sylow
423C25—611no—
424C25C22×D6111yescharacteristic
425C22×D4—618no—
426C22×D4—612no—
427C22×D4—612no—
428C22×D4—2444no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—618no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—614no—
438C23×C4—2444no—
439C23×C4C22×D6111yescharacteristic
440C23×C4C22×D6111yescharacteristic
441#123—6116no—
442#123—6116no—
443#123—6116no—
444#123—6116no—
445#117—2444no—
446#117—2444no—
447#117—2444no—
448C2×C4⋊C4—618no—
449C2×C4⋊C4—618no—
450C2×C4⋊C4—612no—
451C2×C4⋊C4—612no—
452C2×C4⋊C4—612no—
453C2×C4⋊C4—612no—
454C2×C4⋊C4—614no—
455C2×C4⋊C4—614no—
456C2×C4⋊C4—614no—
457C2×C4⋊C4—614no—
458C2×C4⋊C4C22×D6114yes—
459C2×C22⋊C4—618no—
460C2×C22⋊C4—618no—
461C2×C22⋊C4—612no—
462C2×C22⋊C4—612no—
463C2×C22⋊C4—612no—
464C2×C22⋊C4—612no—
465C2×C22⋊C4—612no—
466C2×C22⋊C4—612no—
467C2×C22⋊C4—612no—
468C2×C22⋊C4—612no—
469C2×C22⋊C4—612no—
470C2×C22⋊C4—612no—
471C2×C22⋊C4—614no—
472C2×C22⋊C4—614no—
473C2×C22⋊C4—614no—
474C2×C22⋊C4—2444no—
475C2×C22⋊C4C4×D6118yescomplemented
476C2×C22⋊C4C22×D6112yes—
477C2×C22⋊C4C22×D6112yes—
478C2×C22⋊C4C22×D6112yes—
479C2×C22⋊C4C22×D6112yes—
480C2×C22⋊C4C22×D6112yes—
481C2×C22⋊C4C22×D6112yes—
482C2×C22⋊C4C22×D6112yes—
483C2×C22⋊C4C22×D6112yes—
484C2×C42—614no—
485C2×C42—614no—
486C2×C42—614no—
487C2×C42—614no—
488C2×C42C22×D6114yes—
489#95—614no—
490#95—614no—
491#95—614no—
492#95—614no—
493#95—614no—
494#95—614no—
495#95—614no—
496#95—614no—
497#95C22×D6114yes—
498#95C22×D6114yes—
499C24—24no—
500C24—42no—
501C24—42no—
502C24—612no—
503C24—614no—
504C24—1224no—
505C24—2442no—
506C24—2442no—
507C24C2×C4×D6114yes—
508C24C23×D6111yescharacteristic
509C24C23×D6111yescharacteristic
510C24C23×D6111yescharacteristic
511C2×D4—618no—
512C2×D4—618no—
513C2×D4—24416no—
514C2×D4—2442no—
515C2×D4—2442no—
516C2×D4—2442no—
517C2×D4—2442no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—614no—
521C22×C4—614no—
522C22×C4—614no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—612no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—614no—
529C22×C4—614no—
530C22×C4—614no—
531C22×C4—614no—
532C22×C4—614no—
533C22×C4—614no—
534C22×C4—1224no—
535C22×C4—1224no—
536C22×C4—1224no—
537C22×C4—2444no—
538C22×C4—2444no—
539C22×C4—2444no—
540C22×C4—24416no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4C2×C4×D6114yes—
546C22×C4C2×C4×D6114yes—
547C22×C4C23×D6114yes—
548C22×C4C23×D6114yes—
549C22×C4C23×D6112yes—
550C22×C4C23×D6112yes—
551C4⋊C4—44no—
552C4⋊C4—618no—
553C4⋊C4—618no—
554C4⋊C4—618no—
555C4⋊C4—618no—
556C4⋊C4—2444no—
557C4⋊C4—2444no—
558C4⋊C4—2444no—
559C4⋊C4—2444no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—618no—
567C22⋊C4—618no—
568C22⋊C4—618no—
569C22⋊C4—618no—
570C22⋊C4—1224no—
571C22⋊C4—1224no—
572C22⋊C4—2444no—
573C22⋊C4—2444no—
574C22⋊C4—2444no—
575C22⋊C4—2442no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C22⋊C4—2442no—
579C22⋊C4C2×C4×D6118yes—
580C22⋊C4C2×C4×D6118yes—
581C42—44no—
582C42—2444no—
583C42—2444no—
584C42—2444no—
585C42—2444no—
586C23—22no—
587C23—22no—
588C23—28no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—44no—
596C23—44no—
597C23—416no—
598C23—614no—
599C23—1228no—
600C23—1222no—
601C23—1222no—
602C23—1224no—
603C23—1224no—
604C23—4888no—
605C23—2444no—
606C23—2444no—
607C23C22×C4×D6112yes—
608C23C22×C4×D6112yes—
609C23C22×C4×D6112yes—
610C23#1451982314yes—
611C23C24×D6111yescharacteristic
612D4—2448no—
613D4—2448no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—612no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—614no—
629C2×C4—1228no—
630C2×C4—1228no—
631C2×C4—1228no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1224no—
639C2×C4—1224no—
640C2×C4—1224no—
641C2×C4—1224no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—4888no—
645C2×C4—2444no—
646C2×C4—2444no—
647C2×C4—2444no—
648C2×C4—2444no—
649C2×C4C22×C4×D6114yes—
650C2×C4C22×C4×D6114yes—
651C22—28no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—416no—
661C22—44no—
662C22—44no—
663C22—1224no—
664C22—1224no—
665C22—1224no—
666C22—4888no—
667C22—2444no—
668C22—2444no—
669C22#1684023614yes—
670C22C23×C4×D6111yescharacteristic
671C22C2×#1451982312yes—
672C22#1684059712yes—
673C22#1684059712yes—
674C4—24no—
675C4—24no—
676C4—44no—
677C4—44no—
678C4—1222no—
679C4—1222no—
680C4—1222no—
681C4—1222no—
682C4—1224no—
683C4—2444no—
684C4—2444no—
685C2—24no—
686C2—42no—
687C2—42no—
688C2—2444no—
689C2C2×#1684023611yescharacteristic
690C2#2145901711yescharacteristic
691C2#2145901711yescharacteristic
692C2#2145998714yes—
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2312C2
socle, cosocleC23×C61C25
prime radicalC23×C22⋊D61C22
hypercenter#2312D61
hypocenterC61#34357
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2312

Complements

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

NH ≅ G/Ntype
2. #21448965C2semidirect
3. #21448949C2semidirect
4. #21448690C2semidirect
5. #21448686C2semidirect
6. #21448671C2semidirect
7. #21448665C2semidirect
8. #21448614C2semidirect
9. #21448602C2semidirect
10. #21448417C2semidirect
13. #21448197C2semidirect
14. #21448197C2semidirect
15. C61×#2312C2semidirect
18. C2×#14519761C4semidirect
33. #16839660C22semidirect
34. #16839658C22semidirect
35. #16839655C22semidirect
36. #16839655C22semidirect
37. #16839654C22semidirect
38. #16839653C22semidirect
39. #16839652C22semidirect
40. #16839651C22semidirect
41. #16839647C22semidirect
42. #16839647C22semidirect
43. #16839645C22semidirect
44. #16839645C22semidirect
47. #16839636C22semidirect
48. #16839633C22semidirect
53. #16839620C22semidirect
54. #16839620C22semidirect
55. #16839620C22semidirect
56. #16839620C22semidirect
60. C4⋊C4×Dic61C22semidirect
61. C4×C4⋊Dic61C22semidirect
62. C22⋊C4×Dic61C22semidirect
63. C22⋊C4×Dic61C22semidirect
64. C22⋊C4×Dic61C22semidirect
65. C22⋊C4×Dic61C22semidirect
66. C4×#11758198C22semidirect
68. #16839609C22semidirect
70. C61×#388C22semidirect
71. C61×#388C22semidirect
82. C23×Dic61C2×C4semidirect
91. #14519761C2×C4semidirect
92. #14519761C2×C4semidirect
93. #14519761C2×C4semidirect
94. #14519761C2×C4semidirect
98. C2×C4⋊Dic61C2×C4semidirect
99. C2×C4⋊Dic61C2×C4semidirect
140. C2×C22⋊C4×C61C2×C4semidirect
349. #2312D61semidirect
388. #388C2×D61semidirect
389. #388C2×D61semidirect
422. C61#34357semidirect
475. C2×C22⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145197612
#214489652
#214489492
#214486902
#214486862
#214486712
#214486652
#214486142
#214486022
#214484172
#214484002
#214483952
#214481972
C61×#23122
#3435761