Finite Group Databasebeta

← #479×#6923 #30617312

Subgroups — #479×#6923 #30617312

Order 15616.

828 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#125×#6923C211yesmaximal, characteristic
2C4×Q8×#6923C211yesmaximal, characteristic
3#21461999C211yesmaximal, characteristic
4#21461932C211yesmaximal, characteristic
5#21461882C211yesmaximal, characteristic
6#21461880C211yesmaximal, characteristic
7#21461785C211yesmaximal, characteristic
8#21461783C211yesmaximal, characteristic
9#21461690C211yesmaximal, characteristic
10#107×#6923C211yesmaximal, characteristic
11#106×#6923C211yesmaximal, characteristic
12C4⋊C8×#6923C211yesmaximal, characteristic
13#103×#6923C211yesmaximal, characteristic
14#103×#6923C211yesmaximal, characteristic
15#479×D61C211yesmaximal, characteristic
16C2×Q8×#6923C2211yescharacteristic
17C2×Q8×#6923C2211yescharacteristic
18C2×#14519846C2211yescharacteristic
19C2×#14519845C2211yescharacteristic
20D61⋊(C4⋊C8)C2211yescharacteristic
21C2×#14519840C2211yescharacteristic
22C2×#14519840C2211yescharacteristic
23C2×C8×#6923C2211yescharacteristic
24C2×C8×#6923C2211yescharacteristic
25#16840713C2211yescharacteristic
26#16840713C2211yescharacteristic
27#16840711—21no—
28#16840711—21no—
29#16840706C2211yescharacteristic
30C4⋊C4×#6923—21no—
31C4⋊C4×#6923—21no—
32C4⋊C4×#6923—21no—
33C4⋊C4×#6923—21no—
34C4⋊C4×#6923C2211yescharacteristic
35C4⋊C4×#6923C2211yescharacteristic
36C4⋊C4×#6923C2211yescharacteristic
37C4⋊C4×#6923C2211yescharacteristic
38C4×C4⋊#6923—21no—
39C4×C4⋊#6923C2211yescharacteristic
40C42×#6923—21no—
41C42×#6923C2211yescharacteristic
42#16840636C2211yescharacteristic
43#16840636C2211yescharacteristic
44#16840635C2211yescharacteristic
45#16840635C2211yescharacteristic
46#16840635C2211yescharacteristic
47#16840635C2211yescharacteristic
48#16840635C2211yescharacteristic
49#16840635C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52#125×D61C2211yescharacteristic
53C4×Q8×D61C2211yescharacteristic
54#16840072C411yescharacteristic, complemented
55#16840071C411yescharacteristic, complemented
56#16840070C411yescharacteristic, complemented
57#16840069C411yescharacteristic, complemented
58#16840068C411yescharacteristic, complemented
59#16840067C411yescharacteristic, complemented
60#16840066C411yescharacteristic, complemented
61#107×D61C2211yescharacteristic
62#106×D61C2211yescharacteristic
63C4⋊C8×D61C2211yescharacteristic
64#103×D61C2211yescharacteristic
65#103×D61C2211yescharacteristic
66C61×#479C411yescharacteristic, complemented
67C2×D61⋊C8C2311yescharacteristic
68C2×D61⋊C8C2311yescharacteristic
69Q8×#6923—22no—
70Q8×#6923—22no—
71Q8×#6923—22no—
72Q8×#6923Q814yes—
73C2×C4⋊#6923—21no—
74C2×C4⋊#6923—21no—
75C2×C4⋊#6923—21no—
76C2×C4⋊#6923—21no—
77C2×C4⋊#6923C2311yescharacteristic
78C2×C4⋊#6923C2311yescharacteristic
79C2×C4⋊#6923C2311yescharacteristic
80C2×C4⋊#6923C2311yescharacteristic
81C2×C4×#6923—21no—
82C2×C4×#6923—21no—
83C2×C4×#6923—21no—
84C2×C4×#6923—21no—
85C2×C4×#6923—21no—
86C2×C4×#6923—21no—
87C2×C4×#6923—21no—
88C2×C4×#6923D411yescharacteristic
89C2×C4×#6923D411yescharacteristic
90C2×C4×#6923D411yescharacteristic
91C2×C4×#6923D411yescharacteristic
92C2×C4×#6923C2311yescharacteristic
93C2×C4×#6923C2311yescharacteristic
94#14519846—22no—
95#14519845—22no—
96#14519844—21no—
97C4⋊#92420—21no—
98#14519840—22no—
99#14519840—22no—
100C8×#6923—22no—
101C8×#6923—22no—
102(C2×#6923)⋊C4—21no—
103(C2×#6923)⋊C4—21no—
104(C2×#6923)⋊C4—21no—
105(C2×#6923)⋊C4—21no—
106(C2×#6923)⋊C4—21no—
107(C2×#6923)⋊C4—21no—
108(C2×#6923)⋊C4—21no—
109(C2×#6923)⋊C4—21no—
110(C2×#6923)⋊C4—21no—
111C2×Q8×D61C2311yescharacteristic
112C2×C8×D61C2311yescharacteristic
113C2×C8×D61C2311yescharacteristic
114#14519769C2×C411yescharacteristic
115#14519768C2×C411yescharacteristic
116#14519768C2×C411yescharacteristic
117#14519767—21no—
118#14519767—21no—
119Q8×Dic61C2×C411yescharacteristic
120C4×Dic122—21no—
121C4×Dic122C2×C411yescharacteristic
122#14519742—21no—
123#14519742C2×C411yescharacteristic
124C4⋊C4×D61—21no—
125C4⋊C4×D61—21no—
126C4⋊C4×D61—21no—
127C4⋊C4×D61C2311yescharacteristic
128C4⋊C4×D61C2311yescharacteristic
129C4⋊C4×D61C2311yescharacteristic
130C42×D61—21no—
131C42×D61C2311yescharacteristic
132#14519711C2×C411yescharacteristic
133#14519710C2×C411yescharacteristic
134#14519710C2×C411yescharacteristic
135#14519709C2×C411yescharacteristic
136#14519708C2×C411yescharacteristic
137#14519708C2×C411yescharacteristic
138C4⋊#92418C2×C411yescharacteristic
139#14519706C2×C411yescharacteristic
140#14519706C2×C411yescharacteristic
141#14519702C2×C411yescharacteristic
142#14519702C2×C411yescharacteristic
143#14519701C2×C411yescharacteristic
144#14519701C2×C411yescharacteristic
145#14519700C2×C411yescharacteristic
146#14519700C2×C411yescharacteristic
147#125×C61C2×C411yescharacteristic
148C4×Q8×C61C2×C411yescharacteristic
149#107×C61C2×C411yescharacteristic
150#106×C61C2×C411yescharacteristic
151C4⋊C8×C61C2×C411yescharacteristic
152#103×C61C2×C411yescharacteristic
153#103×C61C2×C411yescharacteristic
154C22×#6923—21no—
155C22×#6923—21no—
156C22×#6923—21no—
157C22×#6923—21no—
158C22×#6923C2×D411yescharacteristic
159C22×#6923C2×D411yescharacteristic
160C22×#6923C2×D411yescharacteristic
161C22×#6923C2×D411yescharacteristic
162C2×Q8×C61C22×C411yescharacteristic
163Q8×D61—21no—
164Q8×D61—21no—
165Q8×D61C2×Q812yes—
166Q8×D61#4112yes—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61C2×D411yescharacteristic
172C2×C4×D61C2×D411yescharacteristic
173C2×C4×D61C2411yescharacteristic
174C2×Dic122—21no—
175C2×Dic122C22×C411yescharacteristic
176C2×#92420—21no—
177C2×#92420—21no—
178C4⋊#6923—24no—
179C4⋊#6923—24no—
180C4⋊#6923—21no—
181C4⋊#6923—21no—
182C4⋊#6923—21no—
183C4⋊#6923—21no—
184C4⋊#6923—21no—
185C4⋊#6923—21no—
186C4⋊#6923—42no—
187C4⋊#6923—42no—
188C4⋊#6923C2×Q812yes—
189C4⋊#6923#4112yes—
190C4×#6923—24no—
191C4×#6923—24no—
192C4×#6923—22no—
193C4×#6923—22no—
194C4×#6923—22no—
195C4×#6923—21no—
196C4×#6923—21no—
197C4×#6923—41no—
198C4×#6923—42no—
199C4×#6923—42no—
200C4×#6923—42no—
201C4×#6923—42no—
202C4×#6923—42no—
203C4×#6923C2×Q812yes—
204C4×#6923#4112yes—
205D61⋊C8—21no—
206D61⋊C8—21no—
207D61⋊C8—21no—
208D61⋊C8—21no—
209C2×C8×C61C22×C411yescharacteristic
210C2×C8×C61C22×C411yescharacteristic
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61C22×C411yescharacteristic
215C4⋊C4×C61C22×C411yescharacteristic
216C4⋊C4×C61C22×C411yescharacteristic
217C42×C61—21no—
218C42×C61C22×C411yescharacteristic
219C4⋊Dic61—21no—
220C4⋊Dic61—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61C22×C411yescharacteristic
223C4⋊Dic61C22×C411yescharacteristic
224C4⋊Dic61C22×C411yescharacteristic
225#11758196—21no—
226#11758196—21no—
227#11758196—21no—
228#11758196—21no—
229#11758196—21no—
230#11758196—21no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234C4×Dic61—21no—
235C4×Dic61—21no—
236C4×Dic61—21no—
237C4×Dic61C22×C411yescharacteristic
238C4×Dic61#4111yescharacteristic
239C4×Dic61#4111yescharacteristic
240C2×#92418C22×C411yescharacteristic
241C2×#92418C22×C411yescharacteristic
242C8×D61—21no—
243C8×D61—21no—
244C8×D61—21no—
245C8×D61—21no—
246C22×D61C22×D411yescharacteristic
247C2×#6923—21no—
248C2×#6923—21no—
249C2×#6923—21no—
250C2×#6923—21no—
251C2×#6923—22no—
252C2×#6923—21no—
253C2×#6923—22no—
254C2×#6923—21no—
255C2×#6923—21no—
256C2×#6923—41no—
257C2×#6923—41no—
258C2×#6923—41no—
259C2×#6923—41no—
260C2×#6923—41no—
261C2×#6923—41no—
262C2×#6923—41no—
263C2×#6923—41no—
264C2×#6923—41no—
265C2×#6923—41no—
266C2×#6923C22⋊Q812yes—
267C2×#6923C22⋊Q812yes—
268C2×#6923#13512yes—
269C2×#6923#13512yes—
270C2×#6923#13712yes—
271Q8×C61—21no—
272Q8×C61C4×Q812yes—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C23×C411yescharacteristic
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61C4×D411yescharacteristic
285C2×Dic61C4×D411yescharacteristic
286C2×Dic61C2×#4111yescharacteristic
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—21no—
290C4×D61—21no—
291C4×D61—21no—
292C4×D61—21no—
293C4×D61—41no—
294C4×D61—41no—
295C4×D61—41no—
296C4×D61—41no—
297C4×D61—41no—
298C4×D61—41no—
299C4×D61C22×Q811yescharacteristic
300C4×D61C2×#4111yescharacteristic
301C4×D61C2×#4111yescharacteristic
302C4×D61C2×#4111yescharacteristic
303Dic122—21no—
304Dic122—22no—
305Dic122—22no—
306Dic122C4×Q812yes—
307#92420—41no—
308#92420—41no—
309C8×C61—21no—
310C8×C61—21no—
311#92418—21no—
312#92418—21no—
313C4×#479—611nomaximal, Sylow
314C22×C61C2×C4×D411yescharacteristic
315C2×D61C2×C22⋊Q811yescharacteristic
316C2×D61#52511yescharacteristic
317C2×D61C2×#13511yescharacteristic
318C2×D61C2×#13511yescharacteristic
319C2×D61C2×#13711yescharacteristic
320C2×D61#57511yescharacteristic
321#6923—22no—
322#6923—22no—
323#6923—42no—
324#6923—41no—
325#6923—42no—
326#6923—81no—
327#6923—81no—
328#6923#47914yesdirect product factor
329C4×C61—21no—
330C4×C61—21no—
331C4×C61—22no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—41no—
335C4×C61C2×C4×Q811yescharacteristic
336C4×C61C4×#4111yescharacteristic
337Dic61—21no—
338Dic61—21no—
339Dic61—22no—
340Dic61—41no—
341Dic61—41no—
342Dic61—41no—
343Dic61#52911yescharacteristic
344Dic61#53311yescharacteristic
345C2×#479—611no—
346C4×#125—611no—
347C42×Q8—611no—
348#1989—611no—
349#1949—611no—
350#1920—611no—
351#1918—611no—
352#1865—611no—
353#1863—611no—
354#1805—611no—
355C4×#107—611no—
356C4×#106—611no—
357C4×C4⋊C8—611no—
358C4×#103—611no—
359C4×#103—611no—
360C2×C61C4×C22⋊Q811yescharacteristic
361C2×C61C4×#13511yescharacteristic
362C2×C61C4×#13711yescharacteristic
363D61C2×#47911yescharacteristic
364D61#307611yescharacteristic
365D61#310211yescharacteristic
366D61#310811yescharacteristic
367C2×#125—611no—
368C2×C4×Q8—611no—
369C2×C4×Q8—611no—
370C2×C4×Q8—611no—
371#479—611no—
372#479—611no—
373#479—611no—
374#479—611no—
375#479—611no—
376#479—611no—
377#479—611no—
378#479#692311yescharacteristic, direct product factor
379C2×#107—611no—
380C2×#107—611no—
381C2×#106—611no—
382C2×#106—611no—
383C2×C4⋊C8—611no—
384C2×C4⋊C8—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×C4×C8—611no—
390C2×C4×C8—611no—
391#389—611no—
392#389—611no—
393#387—1221no—
394#387—1221no—
395#382—611no—
396C4×C4⋊C4—611no—
397C4×C4⋊C4—611no—
398C4×C4⋊C4—611no—
399C4×C4⋊C4—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—1221no—
402C4×C4⋊C4—1221no—
403C4×C4⋊C4—1221no—
404C4×C4⋊C4—1221no—
405C4×C4⋊C4—1221no—
406C43—611no—
407C43—1221no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#336—611no—
417#336—611no—
418C61C4×#47911yescharacteristic, complemented, Sylow
419C22×Q8—611no—
420C22×C8—611no—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8—611no—
424#125—611no—
425#125—611no—
426#125—611no—
427#125—1221no—
428#125—1221no—
429#125C2×#692311yescharacteristic
430C4×Q8—614no—
431C4×Q8—611no—
432C4×Q8—611no—
433C4×Q8—611no—
434C4×Q8—1221no—
435C4×Q8—1221no—
436C4×Q8—1222no—
437C4×Q8—1222no—
438C4×Q8—1222no—
439C4×Q8C2×#692311yescharacteristic
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42—611no—
461C2×C42—1221no—
462C2×C42—1221no—
463C2×C42—1221no—
464C2×C42—1221no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42—1221no—
469#107—611no—
470#107—611no—
471#107—611no—
472#107—1222no—
473#107C2×#692311yescharacteristic
474#106—611no—
475#106—611no—
476#106—611no—
477#106—1222no—
478#106C2×#692311yescharacteristic
479C4⋊C8—611no—
480C4⋊C8—611no—
481C4⋊C8—611no—
482C4⋊C8—1221no—
483C4⋊C8—1221no—
484C4⋊C8C2×#692311yescharacteristic
485#103—611no—
486#103—611no—
487#103—611no—
488#103—611no—
489#103—611no—
490#103—611no—
491#103—1222no—
492#103—1222no—
493#103C2×#692311yescharacteristic
494#103C2×#692311yescharacteristic
495C4×C8—1222no—
496C4×C8—1222no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506C2×Q8—612no—
507C2×Q8—612no—
508C2×Q8—611no—
509C2×Q8—1221no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8C22×#692311yescharacteristic
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—611no—
516C22×C4—611no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C2×C8—611no—
529C2×C8—611no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8C22×#692311yescharacteristic
541C2×C8C22×#692311yescharacteristic
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—612no—
546C4⋊C4—612no—
547C4⋊C4—611no—
548C4⋊C4—611no—
549C4⋊C4—611no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1224no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1224no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—2442no—
571C4⋊C4—2442no—
572C4⋊C4C22×#692311yescharacteristic
573C4⋊C4C22×#692311yescharacteristic
574C4⋊C4C22×#692311yescharacteristic
575C42—21no—
576C42—612no—
577C42—612no—
578C42—611no—
579C42—611no—
580C42—611no—
581C42—1221no—
582C42—1221no—
583C42—1221no—
584C42—1221no—
585C42—1222no—
586C42—1222no—
587C42—1222no—
588C42—1224no—
589C42—1224no—
590C42—1221no—
591C42—2442no—
592C42—2442no—
593C42—2442no—
594C42—2442no—
595C42—2441no—
596C42—2442no—
597C42C22×#692311yescharacteristic
598C23—611no—
599Q8—21no—
600Q8—612no—
601Q8—1222no—
602Q8—1222no—
603Q8—1221no—
604Q8Q8×#692312yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—612no—
610C2×C4—612no—
611C2×C4—612no—
612C2×C4—611no—
613C2×C4—611no—
614C2×C4—611no—
615C2×C4—611no—
616C2×C4—611no—
617C2×C4—612no—
618C2×C4—612no—
619C2×C4—611no—
620C2×C4—611no—
621C2×C4—1222no—
622C2×C4—1222no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1222no—
633C2×C4—1222no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4D4×#692311yescharacteristic
657C2×C4D4×#692311yescharacteristic
658C2×C4C23×#692311yescharacteristic
659C8—21no—
660C8—21no—
661C8—1221no—
662C8—1221no—
663C8—2441no—
664C8—2441no—
665C22—611no—
666C22—611no—
667C22—611no—
668C22—611no—
669C22—611no—
670C22—611no—
671C22C2×D4×#692311yescharacteristic
672C4—22no—
673C4—21no—
674C4—21no—
675C4—41no—
676C4—41no—
677C4—41no—
678C4—614no—
679C4—611no—
680C4—611no—
681C4—1222no—
682C4—1222no—
683C4—1222no—
684C4—1221no—
685C4—1221no—
686C4—4881no—
687C4—4881no—
688C4—2441no—
689C4—2442no—
690C4—2442no—
691C4—2441no—
692C4—2441no—
693C4—2441no—
694C4C2×Q8×#692311yescharacteristic
695C4#41×#692311yescharacteristic
696C2—611no—
697C2—611no—
698C2—611no—
699C2—611no—
700C2C22⋊Q8×#692311yescharacteristic
701C2#135×#692311yescharacteristic
702C2#137×#692311yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#479C4
socleC22×C61C2×C4×D4
prime radicalC22×D61C22×D4
cosocleC2×C4×D61C24
hypercenter#479#6923
hypocenterC61C4×#479
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #479

Complements

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

NH ≅ G/Ntype
54. #16840072C4semidirect
55. #16840071C4semidirect
56. #16840070C4semidirect
57. #16840069C4semidirect
58. #16840068C4semidirect
59. #16840067C4semidirect
60. #16840066C4semidirect
66. C61×#479C4semidirect
328. #6923#479direct (N × H)
378. #479#6923direct (N × H)
418. C61C4×#479semidirect

Maximal subgroups

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

subgroupindex
#125×#69232
C4×Q8×#69232
#214619992
#214619322
#214618822
#214618802
#214617852
#214617832
#214616902
#107×#69232
#106×#69232
C4⋊C8×#69232
#103×#69232
#479×D612
C4×#47961