Finite Group Databasebeta

← #30614464

Subgroups — #30614464

Order 15616.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840797C211yesmaximal, characteristic
2C2×#16840793C211yesmaximal, characteristic
3C2×#16840726C211yesmaximal, characteristic, complemented
4C2×C4×#11758217C211yesmaximal, characteristic, complemented
5#21461618C211yesmaximal, characteristic, complemented
6#21461611C211yesmaximal, characteristic, complemented
7#21461607C211yesmaximal, characteristic, complemented
8#21461561C211yesmaximal, characteristic, complemented
9#21461561C211yesmaximal, characteristic, complemented
10#21461561C211yesmaximal, characteristic, complemented
11C22⋊C4×#92420C211yesmaximal, characteristic, complemented
12#21461549C211yesmaximal, characteristic, complemented
13C4×C22⋊#92420C211yesmaximal, characteristic, complemented
14#21461476C211yesmaximal, characteristic, complemented
15#21448259C211yesmaximal, characteristic
16C22×#11758217C2211yescharacteristic
17C22×#11758217C2211yescharacteristic
18C22×#11758217C2211yescharacteristic
19C23×#92420C2211yescharacteristic
20#16840797C418yescomplemented
21#16840793C418yescomplemented
22C2×#14519844C2211yescharacteristic
23C2×C4⋊#92420C2211yescharacteristic
24C2×C22⋊#92420C2211yescharacteristic
25C2×C22⋊#92420C2211yescharacteristic
26C2×C22⋊#92420C2211yescharacteristic
27C2×C22⋊#92420C2211yescharacteristic
28#16840726—24no—
29C4×#11758217—24no—
30C2×#14519832C2211yescharacteristic
31C2×#14519832C2211yescharacteristic
32C2×#14519832C2211yescharacteristic
33C2×#14519832C2211yescharacteristic
34C2×#14519832C2211yescharacteristic
35C2×C4×#92420C2211yescharacteristic
36C2×C4×#92420C2211yescharacteristic
37C2×C4×#92420C2211yescharacteristic
38C2×C4×#92420C2211yescharacteristic
39C2×C4×#92420C2211yescharacteristic
40C2×C4×#92420C2211yescharacteristic
41C2×C4×#92420C2211yescharacteristic
42#16840628C2211yescharacteristic
43#16840628C2211yescharacteristic
44#16840628C2211yescharacteristic
45#16840628C2211yescharacteristic
46#16840628C2211yescharacteristic
47#16840628C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic
49C2×#14519733C2211yescharacteristic
50C22×C4×Dic61C2211yescharacteristic
51#16839656C411yescharacteristic
52#16839650C411yescharacteristic
53#16839647C411yescharacteristic
54#16839645C411yescharacteristic
55#16839642C411yescharacteristic
56#16839635C411yescharacteristic
57#16839634C411yescharacteristic
58#16839613C2211yescharacteristic
59C22⋊C4×Dic61C2211yescharacteristic
60C22⋊C4×Dic61C2211yescharacteristic
61#16839607C2211yescharacteristic
62C61×#386C411yescharacteristic
63C2×#11758217—22no—
64C2×#11758217—22no—
65C2×#11758217—22no—
66C2×#11758217—22no—
67C2×#11758217—22no—
68C2×#11758217—22no—
69C2×#11758217C2×C414yes—
70C2×#11758217C2×C414yes—
71C2×#11758217C2×C414yescomplemented
72C22×#92420—22no—
73C22×#92420—22no—
74C22×#92420C2×C414yescomplemented
75C22×#92420C2311yescharacteristic
76C22×#92420C2311yescharacteristic
77C22×#92420C2311yescharacteristic
78C22×#92420C2311yescharacteristic
79C22×#92420C2311yescharacteristic
80C22×#92420C2311yescharacteristic
81C22×#92420C2311yescharacteristic
82C22×#92420C2311yescharacteristic
83#14519844C2×C414yescomplemented
84C4⋊#92420C2×C414yescomplemented
85C22⋊#92420C2×C414yes—
86C22⋊#92420C2×C414yes—
87C22⋊#92420C2×C414yescomplemented
88C22⋊#92420C2×C414yescomplemented
89#14519832—22no—
90#14519832—22no—
91#14519832—22no—
92#14519832C2×C414yescomplemented
93#14519832D414yescomplemented
94C4×#92420—22no—
95C4×#92420—22no—
96C4×#92420—22no—
97C4×#92420—22no—
98C4×#92420—22no—
99C4×#92420—22no—
100C4×#92420C2×C414yescomplemented
101C23×Dic61C2×C411yescharacteristic
102C23×Dic61C2311yescharacteristic
103C23×Dic61C2311yescharacteristic
104D4×Dic61C2×C414yes—
105D4×Dic61C2×C414yes—
106#14519733—22no—
107#14519733—22no—
108C2×C4⋊Dic61C2×C411yescharacteristic
109C2×#11758196C2×C411yescharacteristic
110C2×#11758196C2×C411yescharacteristic
111C2×#11758196C2×C411yescharacteristic
112C2×#11758196C2×C411yescharacteristic
113C2×C22⋊Dic61C2×C411yescharacteristic
114C2×C22⋊Dic61C2×C411yescharacteristic
115C2×C22⋊Dic61C2×C411yescharacteristic
116C2×C22⋊Dic61C2×C411yescharacteristic
117C2×C22⋊Dic61C2×C411yescharacteristic
118C2×C4×Dic61—22no—
119C2×C4×Dic61—22no—
120C2×C4×Dic61C2×C411yescharacteristic
121C2×C4×Dic61C2×C411yescharacteristic
122C2×C4×Dic61C2311yescharacteristic
123C2×C4×Dic61C2311yescharacteristic
124C2×C4×Dic61C2311yescharacteristic
125C2×C4×Dic61C2311yescharacteristic
126C2×C4×Dic61C2311yescharacteristic
127#14519684C2×C411yescharacteristic
128#14519684C2×C411yescharacteristic
129#14519684C2×C411yescharacteristic
130#14519684C2×C411yescharacteristic
131#14519684C2×C411yescharacteristic
132#14519684C2×C411yescharacteristic
133#14519684C2×C411yescharacteristic
134#14519684C2×C411yescharacteristic
135C22×D4×C61C2×C411yescharacteristic
136C23×C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61C2×C411yescharacteristic
138C2×C22⋊C4×C61C2×C411yescharacteristic
139C2×C22⋊C4×C61C2×C411yescharacteristic
140#95×C61C2×C411yescharacteristic
141#95×C61C2×C411yescharacteristic
142C24×C61C22×C411yescharacteristic
143C24×C61C22×C411yescharacteristic
144C2×D4×C61—41no—
145C2×D4×C61—41no—
146C2×D4×C61C4214yes—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—41no—
150C22×C4×C61C22×C411yescharacteristic
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—41no—
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C22×C411yescharacteristic
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C412yes—
172C22×Dic61C22×C412yes—
173C22×Dic61C22×C412yes—
174C22×Dic61C22×C412yes—
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C22×C411yescharacteristic
177C22×Dic61C2411yescharacteristic
178#11758217—28no—
179#11758217—28no—
180#11758217—28no—
181C2×#92420—21no—
182C2×#92420—21no—
183C2×#92420—21no—
184C2×#92420—21no—
185C2×#92420—21no—
186C2×#92420—21no—
187C2×#92420—21no—
188C2×#92420—21no—
189C2×#92420—21no—
190C2×#92420—21no—
191C2×#92420—21no—
192C2×#92420—21no—
193C2×#92420—28no—
194C2×#92420C22×C412yes—
195C2×#92420C22×C412yes—
196C2×#92420C22×C412yes—
197C2×#92420C22×C412yes—
198C2×#92420C22×C412yes—
199C2×#92420C22×C412yes—
200C2×#92420C22×C412yes—
201C2×#92420C22×C412yes—
202C2×#92420C2×D412yes—
203C2×#92420C2×D412yes—
204C2×#92420#4112yes—
205C2×#92420#4112yes—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—41no—
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211C22⋊Dic61—41no—
212C22⋊Dic61C4214yes—
213C22⋊Dic61C4214yes—
214C4⋊Dic61C4214yes—
215#11758196—22no—
216#11758196—22no—
217#11758196—22no—
218#11758196—22no—
219C4×Dic61—22no—
220C4×Dic61—22no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61C22×C412yes—
228C4×Dic61C22×C412yes—
229C4×Dic61C2×D412yes—
230C4×Dic61#4112yes—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61C2×C4212yes—
244C23×C61C2×C4212yes—
245C23×C61C23×C411yescharacteristic
246D4×C61—44no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—44no—
260C2×C4×C61C2×C4212yes—
261C2×C4×C61C4×D412yes—
262C2×C4×C61#13112yes—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—44no—
288C2×Dic61C2×C4212yes—
289C2×Dic61C2×C4212yes—
290C2×Dic61C2×C4212yes—
291C2×Dic61C4×D412yes—
292C2×Dic61#13112yes—
293C2×Dic61C23×C411yescharacteristic
294C2×Dic61C23×C411yescharacteristic
295C2×Dic61C22×D411yescharacteristic
296C2×Dic61C2×#4111yescharacteristic
297C2×Dic61C2×#4111yescharacteristic
298C2×Dic61C2×#4111yescharacteristic
299#92420—22no—
300#92420—22no—
301#92420—22no—
302#92420—22no—
303#92420—22no—
304#92420—22no—
305#92420C4×D414yes—
306#92420C4×D414yes—
307#20490—611nomaximal, Sylow
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61C22×C4211yescharacteristic
323C22×C61C2×C4×D411yescharacteristic
324C22×C61C4×#4111yescharacteristic
325C22×C61C2×#13111yescharacteristic
326C22×C61C2×#13111yescharacteristic
327C22×C61#56811yescharacteristic
328C22×C61#56811yescharacteristic
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—41no—
333C4×C61—41no—
334Dic61—22no—
335Dic61—22no—
336Dic61—22no—
337Dic61—22no—
338Dic61—22no—
339Dic61—41no—
340Dic61—41no—
341Dic61C2×C4×D411yescharacteristic
342Dic61C2×C4×D411yescharacteristic
343Dic61C4×#4111yescharacteristic
344Dic61C4×#4111yescharacteristic
345C2×#436—611no—
346C2×#435—611no—
347C2×#405—611no—
348C2×C4×M16—611no—
349#2290—611no—
350#1771—611no—
351C8×C4⋊C4—611no—
352#1768—611no—
353#1753—611no—
354#1753—611no—
355#1753—611no—
356C8×C22⋊C4—611no—
357#1750—611no—
358C4×C22⋊C8—611no—
359#1726—611no—
360C2×C61—42no—
361C2×C61—42no—
362C2×C61C42×D411yescharacteristic
363C2×C61#287311yescharacteristic
364C2×C61C4×#13111yescharacteristic
365C2×C61#293311yescharacteristic
366C2×C61#293311yescharacteristic
367C2×C61#296911yescharacteristic
368C2×C61#296911yescharacteristic
369C22×M16—611no—
370C22×M16—611no—
371C22×M16—611no—
372C23×C8—611no—
373C2×C4×D4—611no—
374C2×#117—611no—
375C22×C42—611no—
376#436—618no—
377#435—618no—
378C2×C4⋊C8—611no—
379C2×C4⋊C8—611no—
380C2×C22⋊C8—611no—
381C2×C22⋊C8—611no—
382C2×C22⋊C8—611no—
383C2×C22⋊C8—611no—
384#405—1224no—
385C4×M16—1224no—
386C2×#97—611no—
387C2×#97—611no—
388C2×#97—611no—
389C2×#97—611no—
390C2×#97—611no—
391C2×C4×C8—611no—
392C2×C4×C8—611no—
393C2×C4×C8—611no—
394C2×C4×C8—611no—
395C2×C4×C8—611no—
396C2×C4×C8—611no—
397C2×C4×C8—611no—
398#388—611no—
399#388—611no—
400#387—611no—
401#387—611no—
402#386—611no—
403#386#692311yescharacteristic
404#385—611no—
405#385—611no—
406C4×C4⋊C4—611no—
407C4×C22⋊C4—611no—
408C4×C22⋊C4—611no—
409#376—611no—
410#336—611no—
411#336—611no—
412#336—611no—
413#336—611no—
414#336—611no—
415#336—611no—
416C61#2049011yescharacteristic, complemented, Sylow
417C22×D4C2×#692311yescharacteristic
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4C2×#692311yescharacteristic
422C2×M16—614no—
423C2×M16—614no—
424C2×M16—614no—
425C2×M16—1222no—
426C2×M16—1222no—
427C2×M16—1222no—
428C2×M16—1222no—
429C2×M16—1222no—
430C2×M16—1222no—
431C22×C8—611no—
432C22×C8—611no—
433C22×C8—614no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8—1222no—
441C22×C8—1222no—
442C4×D4—614no—
443C4×D4—614no—
444#117—1222no—
445#117—1222no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C22⋊C4—611no—
452C2×C22⋊C4—611no—
453C2×C22⋊C4—611no—
454C2×C22⋊C4—611no—
455C2×C22⋊C4—611no—
456C2×C22⋊C4C2×#692311yescharacteristic
457C2×C22⋊C4C2×#692311yescharacteristic
458C2×C22⋊C4C2×#692311yescharacteristic
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—611no—
462C2×C42—611no—
463C2×C42—611no—
464C2×C42—611no—
465C2×C42—611no—
466C2×C42—1222no—
467C2×C42—1222no—
468C4⋊C8—614no—
469C4⋊C8—614no—
470C22⋊C8—614no—
471C22⋊C8—614no—
472C22⋊C8—614no—
473C22⋊C8—614no—
474#97—614no—
475#97—614no—
476#97—1222no—
477#97—1222no—
478#97—1222no—
479C4×C8—614no—
480C4×C8—1222no—
481C4×C8—1222no—
482C4×C8—1222no—
483C4×C8—1222no—
484C4×C8—1222no—
485C4×C8—1222no—
486#95—611no—
487#95—611no—
488#95—611no—
489#95—611no—
490#95—611no—
491#95—611no—
492#95—611no—
493#95—611no—
494#95C2×#692311yescharacteristic
495#95C2×#692311yescharacteristic
496C24C22×#692311yescharacteristic
497C24C22×#692311yescharacteristic
498C2×D4—41no—
499C2×D4—41no—
500C2×D4C4×#692314yes—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—41no—
504C22×C4—611no—
505C22×C4—612no—
506C22×C4—612no—
507C22×C4—612no—
508C22×C4—612no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—611no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1222no—
525C22×C4—1222no—
526C22×C4—2441no—
527C22×C4C22×#692311yescharacteristic
528C22×C4C22×#692311yescharacteristic
529C22×C4C22×#692311yescharacteristic
530C22×C4C22×#692311yescharacteristic
531C22×C4C22×#692311yescharacteristic
532M16—1228no—
533M16—1228no—
534M16—1228no—
535C2×C8—612no—
536C2×C8—612no—
537C2×C8—612no—
538C2×C8—612no—
539C2×C8—612no—
540C2×C8—612no—
541C2×C8—612no—
542C2×C8—612no—
543C2×C8—612no—
544C2×C8—612no—
545C2×C8—612no—
546C2×C8—612no—
547C2×C8—1228no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C4⋊C4—614no—
561C4⋊C4—1222no—
562C4⋊C4—1222no—
563C4⋊C4—1222no—
564C4⋊C4—1222no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—41no—
568C22⋊C4—614no—
569C22⋊C4—614no—
570C22⋊C4—1222no—
571C22⋊C4—1222no—
572C22⋊C4—2441no—
573C42—612no—
574C42—612no—
575C42—612no—
576C42—612no—
577C42—1221no—
578C42—1221no—
579C42—1221no—
580C42—1221no—
581C42—1221no—
582C42—1222no—
583C42—1221no—
584C42—1222no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23C2×C4×#692312yes—
598C23C2×C4×#692312yes—
599C23C23×#692311yescharacteristic
600D4—44no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—44no—
614C2×C4—611no—
615C2×C4—611no—
616C2×C4—611no—
617C2×C4—611no—
618C2×C4—611no—
619C2×C4—611no—
620C2×C4—612no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—612no—
624C2×C4—612no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—1222no—
629C2×C4—1222no—
630C2×C4—1222no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—2444no—
650C2×C4C2×C4×#692312yes—
651C2×C4D4×#692312yes—
652C2×C4#1451986412yes—
653C8—614no—
654C8—614no—
655C8—1222no—
656C8—1222no—
657C8—1222no—
658C8—1222no—
659C8—1222no—
660C8—1222no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22C22×C4×#692311yescharacteristic
676C22C2×D4×#692311yescharacteristic
677C22#41×#692311yescharacteristic
678C22C2×#1451986411yescharacteristic
679C22D61⋊#13111yescharacteristic
680C22#1684084011yescharacteristic
681C22#1684084011yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—611no—
688C4—611no—
689C4—611no—
690C4—611no—
691C4—1222no—
692C4—1222no—
693C4—1222no—
694C4—1222no—
695C4—1222no—
696C4—2441no—
697C4—2441no—
698C2—42no—
699C2—42no—
700C2C4×D4×#692311yescharacteristic
701C2#2146238311yescharacteristic
702C2C4×#1451986411yescharacteristic
703C2#2146255011yescharacteristic
704C2#2146255111yescharacteristic
705C2#2146265011yescharacteristic
706C2#2146265311yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutatorC22×C61C22×C42
FittingC61×#386C4
socleC23×C61C23×C4
prime radicalC22×D4×C61C2×C4
cosocleC22×Dic61C24
hypercenter#386#6923
hypocenterC61#20490
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
3. C2×#16840726C2semidirect
4. C2×C4×#11758217C2semidirect
5. #21461618C2semidirect
6. #21461611C2semidirect
7. #21461607C2semidirect
8. #21461561C2semidirect
9. #21461561C2semidirect
10. #21461561C2semidirect
11. C22⋊C4×#92420C2semidirect
12. #21461549C2semidirect
13. C4×C22⋊#92420C2semidirect
14. #21461476C2semidirect
20. #16840797C4semidirect
21. #16840793C4semidirect
71. C2×#11758217C2×C4semidirect
74. C22×#92420C2×C4semidirect
83. #14519844C2×C4semidirect
84. C4⋊#92420C2×C4semidirect
87. C22⋊#92420C2×C4semidirect
88. C22⋊#92420C2×C4semidirect
92. #14519832C2×C4semidirect
93. #14519832D4semidirect
100. C4×#92420C2×C4semidirect
416. C61#20490semidirect

Maximal subgroups

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

subgroupindex
C2×#168407972
C2×#168407932
C2×#168407262
C2×C4×#117582172
#214616182
#214616112
#214616072
#214615612
C22⋊C4×#924202
#214615492
C4×C22⋊#924202
#214614762
#214482592
#2049061