Finite Group Databasebeta

← #30610259

Subgroups — #30610259

Order 15616.

1046 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462508C212yesmaximal, complemented
2#21461100C212yesmaximal, complemented
3#21461088C212yesmaximal, complemented
4#21461086C212yesmaximal, complemented
5#21461078C211yesmaximal, characteristic, complemented
6#21461070C211yesmaximal, characteristic, complemented
7#21461064C211yesmaximal, characteristic, complemented
8#21461058C211yesmaximal, characteristic, complemented
9#21461050C211yesmaximal, characteristic, complemented
10C2×#16840605C211yesmaximal, characteristic, complemented
11C2×#16840438C211yesmaximal, characteristic
12#16840786—22no—
13#16840786—22no—
14#16840783C2212yescomplemented
15#16840782C2212yescomplemented
16#16840779C2212yescomplemented
17#16840778C2212yescomplemented
18#16840768—22no—
19#16840732C2212yes—
20C2×C22⋊#92420C2212yes—
21#16840726—22no—
22#16840607C2212yescomplemented
23#16840607C2212yescomplemented
24#16840606C2212yescomplemented
25#16840606C2212yescomplemented
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×#14519763C2211yescharacteristic
39C2×#14519761C2211yescharacteristic
40C2×#14519760C411yescharacteristic
41C2×#14519759C411yescharacteristic
42C2×#14519756C411yescharacteristic
43C2×#14519754C411yescharacteristic
44C2×#14519746C411yescharacteristic
45C2×C4×C22⋊D61C2211yescharacteristic
46C2×#14519737C411yescharacteristic
47C2×#14519736C2211yescharacteristic
48C2×#14519733C2211yescharacteristic
49C22×C22⋊Dic61C2211yescharacteristic
50C22×C22⋊C4×C61C411yescharacteristic
51C2×#11758217—22no—
52C22×#92420—22no—
53#14519844—22no—
54#14519844—22no—
55C4⋊#92420—22no—
56C4⋊#92420—22no—
57C22⋊#92420—22no—
58C22⋊#92420—22no—
59C22⋊#92420C2312yes—
60C22⋊#92420C2312yes—
61C22⋊#92420C2312yes—
62C22⋊#92420C2312yes—
63#14519832—22no—
64#14519832—22no—
65C4×#92420—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×D61C2×C411yescharacteristic
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#14519737—21no—
95#14519737—21no—
96#14519737—21no—
97#14519737—21no—
98#14519736—22no—
99#14519736—22no—
100#14519733D412yes—
101#14519733D412yes—
102#14519733D412yes—
103#14519733D412yes—
104C2×C4⋊Dic61C2×C411yescharacteristic
105C2×C4⋊Dic61C2×C411yescharacteristic
106C2×C4⋊Dic61C2311yescharacteristic
107C2×#11758196C2×C411yescharacteristic
108C2×#11758196C2×C411yescharacteristic
109C2×#11758196C2×C411yescharacteristic
110C2×#11758196C2×C411yescharacteristic
111C2×#11758196C2×C411yescharacteristic
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×#11758198C2311yescharacteristic
124C2×C4×Dic61C2×C411yescharacteristic
125C2×C4×Dic61C2311yescharacteristic
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—21no—
160C2×C22⋊D61—21no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—41no—
165C2×C22⋊D61—42no—
166C2×C22⋊D61—81no—
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—21no—
181C2×C4×D61—21no—
182C2×C4×D61—81no—
183C2×Dic122—22no—
184C2×Dic122—81no—
185#11758217—44no—
186C2×#92420—22no—
187C2×#92420—22no—
188C2×#92420—22no—
189C2×#92420—22no—
190C2×#92420—44no—
191C22⋊C4×C61—21no—
192C22⋊C4×C61—21no—
193C22⋊C4×C61—21no—
194C22⋊C4×C61—21no—
195C22⋊C4×C61—21no—
196C22⋊C4×C61—21no—
197C22⋊C4×C61C22⋊C411yescharacteristic
198C22⋊C4×C61C22⋊C411yescharacteristic
199C22⋊C4×C61C22⋊C411yescharacteristic
200C22⋊C4×C61C22⋊C411yescharacteristic
201C22⋊Dic61—22no—
202C22⋊Dic61—22no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61—22no—
207C22⋊Dic61C22⋊C412yes—
208C22⋊Dic61C22⋊C412yes—
209#11758198—21no—
210#11758198—21no—
211#11758198—22no—
212#11758198—22no—
213C4⋊Dic61—22no—
214C4⋊Dic61—22no—
215C4⋊Dic61—22no—
216#11758196—21no—
217#11758196—21no—
218#11758196—22no—
219#11758196—22no—
220#11758196C22⋊C412yes—
221#11758196C22⋊C412yes—
222#11758196C22⋊C412yes—
223#11758196C22⋊C412yes—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61C2×D412yes—
227C4×Dic61C2×D412yes—
228C4×Dic61C2×D412yes—
229C4×Dic61C2×D412yes—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—22no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—41no—
239C23×C61—42no—
240C23×C61—42no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—42no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—42no—
247C23×C61—81no—
248C23×C61—81no—
249C23×C61—84no—
250C23×C61—84no—
251C23×C61C2×C22⋊C411yescharacteristic
252C23×C61C2×C22⋊C411yescharacteristic
253C23×C61#13112yes—
254C23×C61C23×C411yescharacteristic
255C22×D61—21no—
256C22×D61—21no—
257C22×D61—21no—
258C22×D61—41no—
259C22×D61—41no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—41no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61—41no—
270C2×C4×C61—81no—
271C2×C4×C61—81no—
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C22⋊D61—44no—
277C22⋊D61—42no—
278C22⋊D61—42no—
279C22⋊D61—82no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—24no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—42no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—81no—
294C2×Dic61—81no—
295C2×Dic61C2×C22⋊C412yes—
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C22×D412yes—
299C4×D61—81no—
300C4×D61—81no—
301Dic122—82no—
302#92420—42no—
303#92420—42no—
304#92420—42no—
305#92420—42no—
306#17412—611nomaximal, Sylow
307C22×C61—21no—
308C22×C61—21no—
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—22no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—84no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—84no—
328C22×C61#41012yes—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61C2×#13111yescharacteristic
331C22×C61#56811yescharacteristic
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—21no—
338C4×C61—21no—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—41no—
342C4×C61—41no—
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—22no—
347Dic61—41no—
348Dic61—41no—
349Dic61—41no—
350C2×#551—611no—
351#2924—612no—
352#1473—612no—
353#1469—612no—
354#1468—612no—
355#1466—611no—
356#1464—611no—
357#1462—611no—
358#1460—611no—
359#1458—611no—
360C2×#323—611no—
361C2×C61—21no—
362C2×C61—21no—
363C2×C61—22no—
364C2×C61—41no—
365C2×C61—42no—
366C2×C61—81no—
367C2×C61#288011yescharacteristic
368C2×C61C2×#41011yescharacteristic
369C2×C61#288811yescharacteristic
370D61—81no—
371#551—1222no—
372#551—1222no—
373#551—1222no—
374#551—1222no—
375C2×#126—611no—
376C2×#126—611no—
377C2×#124—611no—
378C2×#123—611no—
379C2×#123—611no—
380C2×#123—611no—
381C2×C22⋊Q8—611no—
382C2×C22⋊Q8—611no—
383C2×#120—611no—
384C2×C4×D4—611no—
385C2×C4×D4—611no—
386C2×#117—611no—
387C2×#117—611no—
388C22×C22⋊C4—611no—
389C22×C22⋊C4#692311yescharacteristic
390#433—1222no—
391#433—1222no—
392#432—612no—
393#432—612no—
394#431—612no—
395#431—612no—
396#424—1222no—
397#407—612no—
398C2×C22⋊C8—612no—
399#405—1222no—
400#324—612no—
401#324—612no—
402#323—611no—
403#323—611no—
404#323—612no—
405#323—611no—
406#323—611no—
407#323—612no—
408#323—612no—
409#323—612no—
410C61#1741211yescharacteristic, complemented, Sylow
411C25C2×#692311yescharacteristic
412C22×Q8—611no—
413C22×D4—611no—
414C22×D4—611no—
415C22×D4—611no—
416C23×C4—611no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4C2×#692311yescharacteristic
420C23×C4C2×#692311yescharacteristic
421C2×M16—1222no—
422C22×C8—1222no—
423#126—1222no—
424#126—1222no—
425#126—1222no—
426#126—1222no—
427#124—1222no—
428#124—1222no—
429#123—1222no—
430#123—1222no—
431#123—1222no—
432#123—1222no—
433#123—1222no—
434#123—1222no—
435C22⋊Q8—1222no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439#120—1222no—
440#120—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443C4×D4—1221no—
444C4×D4—1221no—
445C4×D4—1221no—
446C4×D4—1221no—
447#117—612no—
448#117—612no—
449#117—612no—
450#117—612no—
451#117—1222no—
452#117—1222no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
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—1222no—
476C2×C22⋊C4—1222no—
477C2×C22⋊C4C2×#692311yescharacteristic
478C2×C22⋊C4C2×#692311yescharacteristic
479C2×C22⋊C4C2×#692311yescharacteristic
480C2×C22⋊C4C2×#692311yescharacteristic
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C4⋊C8—1222no—
485C4⋊C8—1222no—
486C4⋊C8—1222no—
487C4⋊C8—1222no—
488C22⋊C8—612no—
489C22⋊C8—612no—
490C22⋊C8—612no—
491C22⋊C8—612no—
492C22⋊C8—1222no—
493C22⋊C8—1222no—
494#97—1222no—
495#97—1222no—
496C4×C8—1222no—
497C4×C8—1222no—
498C24—21no—
499C24—21no—
500C24—22no—
501C24—41no—
502C24—42no—
503C24—81no—
504C24—611no—
505C24C22×#692311yescharacteristic
506C24C22×#692311yescharacteristic
507C24C22×#692311yescharacteristic
508C2×Q8—1222no—
509C2×Q8—4881no—
510C2×D4—1222no—
511C2×D4—1222no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1222no—
515C2×D4—4881no—
516C2×D4—2441no—
517C2×D4—2442no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—41no—
524C22×C4—81no—
525C22×C4—612no—
526C22×C4—611no—
527C22×C4—612no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4—2442no—
541C22×C4C22×#692311yescharacteristic
542C22×C4C22×#692311yescharacteristic
543C22×C4C22×#692311yescharacteristic
544C22×C4C22×#692311yescharacteristic
545M16—2444no—
546C2×C8—1222no—
547C2×C8—1222no—
548C2×C8—1222no—
549C2×C8—1222no—
550C2×C8—2444no—
551C4⋊C4—612no—
552C4⋊C4—612no—
553C4⋊C4—612no—
554C4⋊C4—612no—
555C4⋊C4—1222no—
556C4⋊C4—1222no—
557C4⋊C4—1222no—
558C4⋊C4—1222no—
559C4⋊C4—1222no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—612no—
569C22⋊C4—612no—
570C22⋊C4—1222no—
571C22⋊C4—1222no—
572C22⋊C4—1222no—
573C22⋊C4—1222no—
574C22⋊C4—1222no—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—1222no—
578C22⋊C4—1221no—
579C22⋊C4—1221no—
580C22⋊C4C22⋊#692311yescharacteristic
581C22⋊C4C22⋊#692311yescharacteristic
582C22⋊C4C22⋊#692311yescharacteristic
583C22⋊C4C22⋊#692311yescharacteristic
584C42—612no—
585C42—612no—
586C42—612no—
587C42—612no—
588C42—1221no—
589C42—1221no—
590C23—22no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23—84no—
610C23—84no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—2441no—
615C23—2441no—
616C23C2×C22⋊#692311yescharacteristic
617C23C2×C22⋊#692311yescharacteristic
618C23#1451986412yes—
619C23C23×#692311yescharacteristic
620Q8—4882no—
621D4—4882no—
622D4—2444no—
623D4—2442no—
624D4—2442no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—612no—
638C2×C4—612no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—1224no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—4881no—
648C2×C4—4881no—
649C2×C4—4881no—
650C2×C4—4881no—
651C2×C4—2441no—
652C2×C4—2442no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4C2×C22⋊#692311yescharacteristic
659C2×C4C2×C22⋊#692311yescharacteristic
660C2×C4C2×C22⋊#692311yescharacteristic
661C2×C4C2×C22⋊#692311yescharacteristic
662C8—2442no—
663C8—2442no—
664C8—2442no—
665C8—2442no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—22no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—84no—
684C22—81no—
685C22—81no—
686C22—84no—
687C22—4881no—
688C22—4881no—
689C22—2441no—
690C22—2441no—
691C22—2441no—
692C22#1684074112yes—
693C22C22×C22⋊#692311yescharacteristic
694C22C2×#1451986411yescharacteristic
695C22#1684084011yescharacteristic
696C4—21no—
697C4—21no—
698C4—21no—
699C4—21no—
700C4—41no—
701C4—41no—
702C4—1222no—
703C4—1222no—
704C4—1222no—
705C4—1222no—
706C4—2441no—
707C4—2441no—
708C4—2441no—
709C2—21no—
710C2—21no—
711C2—22no—
712C2—41no—
713C2—42no—
714C2—81no—
715C2—4881no—
716C2#2146240711yescharacteristic
717C2C2×#1684074111yescharacteristic
718C2#2146242911yescharacteristic
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#17412
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. #21462508C2semidirect
2. #21461100C2semidirect
3. #21461088C2semidirect
4. #21461086C2semidirect
5. #21461078C2semidirect
6. #21461070C2semidirect
7. #21461064C2semidirect
8. #21461058C2semidirect
9. #21461050C2semidirect
10. C2×#16840605C2semidirect
14. #16840783C22semidirect
15. #16840782C22semidirect
16. #16840779C22semidirect
17. #16840778C22semidirect
22. #16840607C22semidirect
23. #16840607C22semidirect
24. #16840606C22semidirect
25. #16840606C22semidirect
410. C61#17412semidirect

Maximal subgroups

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

subgroupindex
#214625082
#214611002
#214610882
#214610862
#214610782
#214610702
#214610642
#214610582
#214610502
C2×#168406052
C2×#168404382
#1741261