Finite Group Databasebeta

← #30610319

Subgroups — #30610319

Order 15616.

1060 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462678C212yesmaximal, complemented
2#21461101C212yesmaximal, complemented
3#21461098C212yesmaximal, complemented
4#21461085C212yesmaximal, complemented
5#21461074C211yesmaximal, characteristic, complemented
6#21461070C211yesmaximal, characteristic, complemented
7#21461064C211yesmaximal, characteristic, complemented
8#21461054C211yesmaximal, characteristic, complemented
9#21461050C211yesmaximal, characteristic, complemented
10C2×#16840605C211yesmaximal, characteristic, complemented
11C2×#16840438C211yesmaximal, characteristic
12#16840795—22no—
13#16840794—22no—
14#16840791—22no—
15#16840789—22no—
16#16840782C2212yescomplemented
17#16840778C2212yescomplemented
18#16840733C2212yescomplemented
19#16840732C2212yes—
20D61⋊(C22⋊C8)C2212yescomplemented
21C2×C22⋊#92420C2212yes—
22#16840608C2212yescomplemented
23#16840608C2212yescomplemented
24#16840607C2212yescomplemented
25#16840607C2212yescomplemented
26#16840605C2211yescharacteristic
27#16840605C2211yescharacteristic
28#16840605C2212yes—
29#16840605C2211yescharacteristic
30#16840605C2211yescharacteristic
31#16840605C2212yes—
32#16840438—22no—
33#16840438—22no—
34#16840438—22no—
35#16840438—22no—
36C2×#14519770C411yescharacteristic
37C2×#14519770C2211yescharacteristic
38C2×#14519763C411yescharacteristic
39C2×#14519761C411yescharacteristic
40C2×#14519760C411yescharacteristic
41C2×#14519759C2211yescharacteristic
42C2×#14519756C411yescharacteristic
43C2×#14519754C2211yescharacteristic
44C2×#14519746C411yescharacteristic
45C2×C4×C22⋊D61C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519736C2211yescharacteristic
48C2×#14519733C411yescharacteristic
49C22×C22⋊Dic61C2211yescharacteristic
50C22×C22⋊C4×C61C411yescharacteristic
51C2×#11758213—22no—
52C2×#11758217—22no—
53C2×D61⋊C8—22no—
54C22×#92420—22no—
55#14519844—22no—
56C4⋊#92420—22no—
57#14519834—22no—
58#14519834—22no—
59C22⋊#92420—22no—
60C22⋊#92420—22no—
61C22⋊#92420C2312yes—
62C22⋊#92420C2312yes—
63C22⋊#92420C2312yes—
64C22⋊#92420C2312yes—
65#14519832—22no—
66C4×#92420—22no—
67C22×Dic122C2×C411yescharacteristic
68C22×C22⋊D61C2×C411yescharacteristic
69C22×C22⋊D61C2×C411yescharacteristic
70C22×C22⋊D61C2×C411yescharacteristic
71C23×Dic61C2×C411yescharacteristic
72C23×Dic61C2311yescharacteristic
73C22×C4×D61C2311yescharacteristic
74#14519770—22no—
75#14519770—22no—
76#14519770—22no—
77#14519770—22no—
78#14519763—22no—
79#14519763—22no—
80#14519761—22no—
81#14519761—22no—
82#14519760—22no—
83#14519760—22no—
84#14519759—22no—
85#14519759—22no—
86#14519756—22no—
87#14519756—22no—
88#14519754—22no—
89#14519754—22no—
90#14519746—22no—
91#14519746—22no—
92C4×C22⋊D61—22no—
93C4×C22⋊D61—22no—
94#14519737D412yes—
95#14519737D412yes—
96#14519737D412yes—
97#14519737D412yes—
98#14519736—22no—
99#14519736—22no—
100#14519733—21no—
101#14519733—21no—
102#14519733—21no—
103#14519733—21no—
104C2×C4⋊Dic61C2×C411yescharacteristic
105C2×C4⋊Dic61C2×C411yescharacteristic
106C2×C4⋊Dic61C2311yescharacteristic
107C2×#11758196C2×C411yescharacteristic
108C2×#11758196C2×C411yescharacteristic
109C2×#11758196C2×C411yescharacteristic
110C2×#11758196C2×C411yescharacteristic
111C2×#11758196C2311yescharacteristic
112C2×C22⋊Dic61—22no—
113C2×C22⋊Dic61—22no—
114C2×C22⋊Dic61C2×C411yescharacteristic
115C2×C22⋊Dic61C2×C411yescharacteristic
116C2×C22⋊Dic61C2×C411yescharacteristic
117C2×C22⋊Dic61C2×C411yescharacteristic
118C2×C22⋊Dic61C2×C411yescharacteristic
119C2×C22⋊Dic61C2311yescharacteristic
120C2×C22⋊Dic61C2311yescharacteristic
121C2×#11758198C2×C411yescharacteristic
122C2×#11758198C2×C411yescharacteristic
123C2×#11758198C2×C411yescharacteristic
124C2×C4×Dic61C2×C411yescharacteristic
125C2×C4×Dic61C2×C411yescharacteristic
126C2×C4×Dic61C2311yescharacteristic
127C25×C61C2×C411yescharacteristic
128C23×C4×C61C2×C411yescharacteristic
129C23×C4×C61C2×C411yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61C2×C411yescharacteristic
135C2×C22⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61C2×C411yescharacteristic
138C24×C61—21no—
139C24×C61—21no—
140C24×C61—22no—
141C24×C61—41no—
142C24×C61—42no—
143C24×C61—81no—
144C24×C61C22×C411yescharacteristic
145C24×C61C22×C411yescharacteristic
146C24×C61C22×C411yescharacteristic
147C23×D61C22×C411yescharacteristic
148C22×C4×C61—22no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—41no—
154C22×C4×C61—81no—
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—41no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—81no—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—42no—
170C22×Dic61—81no—
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C22×C411yescharacteristic
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C22×C411yescharacteristic
177C22×Dic61C2×D412yes—
178C22×Dic61C2×D412yes—
179C22×Dic61C2411yescharacteristic
180C2×C4×D61—81no—
181C2×C4×D61C2×D412yes—
182C2×C4×D61C2×D412yes—
183C2×Dic122—22no—
184C2×Dic122—81no—
185#11758217—82no—
186C2×#92420—22no—
187C2×#92420—22no—
188C2×#92420—22no—
189C2×#92420—22no—
190C2×#92420—82no—
191#11758213—82no—
192D61⋊C8—82no—
193C22⋊C4×C61—21no—
194C22⋊C4×C61—21no—
195C22⋊C4×C61—21no—
196C22⋊C4×C61—21no—
197C22⋊C4×C61—21no—
198C22⋊C4×C61—21no—
199C22⋊C4×C61C22⋊C411yescharacteristic
200C22⋊C4×C61C22⋊C411yescharacteristic
201C22⋊C4×C61C22⋊C411yescharacteristic
202C22⋊C4×C61C22⋊C411yescharacteristic
203C22⋊Dic61—21no—
204C22⋊Dic61—21no—
205C22⋊Dic61—22no—
206C22⋊Dic61—22no—
207C22⋊Dic61—22no—
208C22⋊Dic61—22no—
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211#11758198—22no—
212#11758198—22no—
213#11758198C22⋊C412yes—
214#11758198C22⋊C412yes—
215C4⋊Dic61—22no—
216C4⋊Dic61—22no—
217C4⋊Dic61—22no—
218#11758196—21no—
219#11758196—21no—
220#11758196—21no—
221#11758196—21no—
222#11758196—22no—
223#11758196—22no—
224#11758196C22⋊C412yes—
225#11758196C22⋊C412yes—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61C2×D412yes—
231C4×Dic61C2×D412yes—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—41no—
241C23×C61—42no—
242C23×C61—42no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—42no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—42no—
249C23×C61—81no—
250C23×C61—81no—
251C23×C61—84no—
252C23×C61—84no—
253C23×C61C2×C22⋊C411yescharacteristic
254C23×C61C2×C22⋊C411yescharacteristic
255C23×C61#13112yes—
256C23×C61C23×C411yescharacteristic
257C22×D61—21no—
258C22×D61—21no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61C2×C22⋊C412yes—
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—41no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—41no—
272C2×C4×C61—81no—
273C2×C4×C61—81no—
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C22⋊D61—24no—
279C22⋊D61—42no—
280C22⋊D61—44no—
281C22⋊D61—82no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61C22×D412yes—
301C4×D61—42no—
302C4×D61—42no—
303Dic122—82no—
304#92420—42no—
305#92420—42no—
306#92420—42no—
307#92420—42no—
308#17422—611nomaximal, Sylow
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—22no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—84no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—84no—
330C22×C61#41312yes—
331C22×C61C22×C22⋊C411yescharacteristic
332C22×C61C2×#13111yescharacteristic
333C22×C61#56811yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—81no—
338C2×D61—81no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—41no—
344C4×C61—41no—
345Dic61—22no—
346Dic61—22no—
347Dic61—22no—
348Dic61—41no—
349Dic61—41no—
350Dic61—41no—
351Dic61—41no—
352C2×#551—611no—
353#2974—612no—
354#1473—612no—
355#1472—612no—
356#1468—612no—
357#1465—611no—
358#1464—611no—
359#1462—611no—
360#1459—611no—
361#1458—611no—
362C2×#323—611no—
363C2×C61—21no—
364C2×C61—21no—
365C2×C61—22no—
366C2×C61—41no—
367C2×C61—42no—
368C2×C61—81no—
369C2×C61#288011yescharacteristic
370C2×C61#288311yescharacteristic
371C2×C61C2×#41311yescharacteristic
372D61—42no—
373#551—1222no—
374#551—1222no—
375#551—1222no—
376#551—1222no—
377C2×#126—611no—
378C2×#126—611no—
379C2×#124—611no—
380C2×#123—611no—
381C2×#123—611no—
382C2×#123—611no—
383C2×C22⋊Q8—611no—
384C2×C22⋊Q8—611no—
385C2×#120—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×#117—611no—
389C2×#117—611no—
390C22×C22⋊C4—611no—
391C22×C22⋊C4#692311yescharacteristic
392#436—1222no—
393#435—1222no—
394#435—1222no—
395C8×D4—1222no—
396#432—612no—
397#431—612no—
398#407—612no—
399#407—612no—
400C2×C22⋊C8—612no—
401C2×C22⋊C8—612no—
402#324—612no—
403#324—612no—
404#324—612no—
405#324—612no—
406#323—611no—
407#323—611no—
408#323—612no—
409#323—611no—
410#323—611no—
411#323—612no—
412C61#1742211yescharacteristic, complemented, Sylow
413C25C2×#692311yescharacteristic
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4C2×#692311yescharacteristic
422C23×C4C2×#692311yescharacteristic
423C2×M16—1222no—
424C2×M16—1222no—
425C22×C8—1222no—
426C22×C8—1222no—
427#126—1222no—
428#126—1222no—
429#126—1222no—
430#126—1222no—
431#124—1222no—
432#124—1222no—
433#123—1222no—
434#123—1222no—
435#123—1222no—
436#123—1222no—
437#123—1222no—
438#123—1222no—
439C22⋊Q8—1222no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443#120—1222no—
444#120—1222no—
445C4×D4—612no—
446C4×D4—612no—
447C4×D4—612no—
448C4×D4—612no—
449C4×D4—1222no—
450C4×D4—1222no—
451#117—1222no—
452#117—1222no—
453#117—1221no—
454#117—1221no—
455#117—1221no—
456#117—1221no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—611no—
476C2×C22⋊C4—611no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—611no—
479C2×C22⋊C4—1222no—
480C2×C22⋊C4—1222no—
481C2×C22⋊C4C2×#692311yescharacteristic
482C2×C22⋊C4C2×#692311yescharacteristic
483C2×C22⋊C4C2×#692311yescharacteristic
484C2×C22⋊C4C2×#692311yescharacteristic
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C4⋊C8—1222no—
489C4⋊C8—1222no—
490C22⋊C8—612no—
491C22⋊C8—612no—
492C22⋊C8—612no—
493C22⋊C8—612no—
494C22⋊C8—1222no—
495C22⋊C8—1222no—
496C22⋊C8—1222no—
497C22⋊C8—1222no—
498#97—1222no—
499C4×C8—1222no—
500C24—21no—
501C24—21no—
502C24—22no—
503C24—41no—
504C24—42no—
505C24—81no—
506C24—611no—
507C24C22×#692311yescharacteristic
508C24C22×#692311yescharacteristic
509C24C22×#692311yescharacteristic
510C2×Q8—1222no—
511C2×Q8—4881no—
512C2×D4—612no—
513C2×D4—612no—
514C2×D4—1222no—
515C2×D4—1222no—
516C2×D4—1222no—
517C2×D4—4881no—
518C2×D4—2441no—
519C2×D4—2442no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—81no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—4881no—
541C22×C4—4881no—
542C22×C4—2442no—
543C22×C4C22×#692311yescharacteristic
544C22×C4C22×#692311yescharacteristic
545C22×C4C22×#692311yescharacteristic
546C22×C4C22×#692311yescharacteristic
547M16—4882no—
548M16—4882no—
549C2×C8—1222no—
550C2×C8—1222no—
551C2×C8—1222no—
552C2×C8—1222no—
553C2×C8—4882no—
554C2×C8—4882no—
555C4⋊C4—612no—
556C4⋊C4—612no—
557C4⋊C4—1222no—
558C4⋊C4—1222no—
559C4⋊C4—1222no—
560C4⋊C4—1222no—
561C4⋊C4—1222no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—612no—
573C22⋊C4—612no—
574C22⋊C4—1222no—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1221no—
583C22⋊C4—1221no—
584C22⋊C4C22⋊#692311yescharacteristic
585C22⋊C4C22⋊#692311yescharacteristic
586C22⋊C4C22⋊#692311yescharacteristic
587C22⋊C4C22⋊#692311yescharacteristic
588C42—612no—
589C42—612no—
590C42—1221no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23—84no—
614C23—84no—
615C23—612no—
616C23—1221no—
617C23—1221no—
618C23—2441no—
619C23—2441no—
620C23C2×C22⋊#692311yescharacteristic
621C23C2×C22⋊#692311yescharacteristic
622C23#1451986412yes—
623C23C23×#692311yescharacteristic
624Q8—4882no—
625D4—1224no—
626D4—4882no—
627D4—2442no—
628D4—2444no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—612no—
642C2×C4—612no—
643C2×C4—612no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—2442no—
651C2×C4—2442no—
652C2×C4—2442no—
653C2×C4—2442no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4C2×C22⋊#692311yescharacteristic
663C2×C4C2×C22⋊#692311yescharacteristic
664C2×C4C2×C22⋊#692311yescharacteristic
665C2×C4C2×C22⋊#692311yescharacteristic
666C8—2442no—
667C8—2442no—
668C8—2442no—
669C8—2442no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—84no—
688C22—81no—
689C22—81no—
690C22—84no—
691C22—1222no—
692C22—1222no—
693C22—1222no—
694C22—4881no—
695C22—4881no—
696C22#1684074812yes—
697C22C22×C22⋊#692311yescharacteristic
698C22C2×#1451986411yescharacteristic
699C22#1684084011yescharacteristic
700C4—21no—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—41no—
705C4—41no—
706C4—1222no—
707C4—1222no—
708C4—1222no—
709C4—2441no—
710C4—2441no—
711C4—2441no—
712C4—2441no—
713C2—21no—
714C2—21no—
715C2—22no—
716C2—41no—
717C2—42no—
718C2—81no—
719C2—2442no—
720C2#2146240711yescharacteristic
721C2#2146241811yescharacteristic
722C2C2×#1684074811yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC23×C61C23×C4
FrattiniC23C23×#6923
FittingC22×C22⋊C4×C61C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#14519746C4
cosocleC22×Dic61C24
hypercenterC22×C22⋊C4#6923
hypocenterC61#17422
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C22⋊C4 ◁ C22×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. #21462678C2semidirect
2. #21461101C2semidirect
3. #21461098C2semidirect
4. #21461085C2semidirect
5. #21461074C2semidirect
6. #21461070C2semidirect
7. #21461064C2semidirect
8. #21461054C2semidirect
9. #21461050C2semidirect
10. C2×#16840605C2semidirect
16. #16840782C22semidirect
17. #16840778C22semidirect
18. #16840733C22semidirect
20. D61⋊(C22⋊C8)C22semidirect
22. #16840608C22semidirect
23. #16840608C22semidirect
24. #16840607C22semidirect
25. #16840607C22semidirect
412. C61#17422semidirect

Maximal subgroups

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

subgroupindex
#214626782
#214611012
#214610982
#214610852
#214610742
#214610702
#214610642
#214610542
#214610502
C2×#168406052
C2×#168404382
#1742261