Finite Group Databasebeta

← #33057518

Subgroups — #33057518

Order 18688.

720 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618945C211yesmaximal, characteristic, complemented
2D4×#11924012C211yesmaximal, characteristic, complemented
3#22608834C211yesmaximal, characteristic, complemented
4#22608822C211yesmaximal, characteristic, complemented
5#22608796C211yesmaximal, characteristic, complemented
6#22608789C211yesmaximal, characteristic, complemented
7#22608768C211yesmaximal, characteristic, complemented
8#22608761C211yesmaximal, characteristic, complemented
9#22608755C211yesmaximal, characteristic, complemented
10D8×#10596831C211yesmaximal, characteristic, complemented
11#22608698C211yesmaximal, characteristic, complemented
12#22608374C211yesmaximal, characteristic, complemented
13#22608370C211yesmaximal, characteristic, complemented
14#22608234C211yesmaximal, characteristic, complemented
15C4×AGL(1,ℤ/8)×C73C211yesmaximal, characteristic
16C22×#11924012—21no—
17#17988718C2211yescharacteristic, complemented
18#17988718C2211yescharacteristic, complemented
19#17988665C2211yescharacteristic
20#17988665C2211yescharacteristic
21#17988659—21no—
22#17988659—21no—
23#17988659—21no—
24#17988659—21no—
25D4×#10596831C2211yescharacteristic
26D4×#10596831C2211yescharacteristic
27D4×#10596831C2211yescharacteristic, complemented
28D4×#10596831C2211yescharacteristic, complemented
29#17988644—21no—
30#17988644C2211yescharacteristic
31#17988611C2211yescharacteristic
32#17988551—21no—
33C4×#11924012C2211yescharacteristic
34C4×#11924012C2211yescharacteristic
35C2×#14556502—21no—
36#17988340C2211yescharacteristic, complemented
37#17988340C2211yescharacteristic, complemented
38#17988338C2211yescharacteristic, complemented
39#17988338C2211yescharacteristic, complemented
40Q8⋊#10596831C2211yescharacteristic, complemented
41Q8⋊#10596831C2211yescharacteristic, complemented
42D4⋊#10596831C2211yescharacteristic
43D4⋊#10596831C2211yescharacteristic
44D4⋊#10596831C2211yescharacteristic
45D4⋊#10596831C2211yescharacteristic
46D4⋊#10596831C2211yescharacteristic, complemented
47D4⋊#10596831C2211yescharacteristic, complemented
48#17988309C2211yescharacteristic, complemented
49#17988309C2211yescharacteristic, complemented
50#17988308C2211yescharacteristic, complemented
51C8×#10596831C2211yescharacteristic, complemented
52C2×AGL(1,ℤ/8)×C73C411yescharacteristic
53C4×#41×C73C2211yescharacteristic
54C2×C4×D4×C73C2211yescharacteristic
55#442×C73C411yescharacteristic
56#442×C73C411yescharacteristic
57#440×C73C411yescharacteristic
58#440×C73C411yescharacteristic
59C4×SD16×C73C2211yescharacteristic
60C4×SD16×C73C2211yescharacteristic
61C4×D8×C73C2211yescharacteristic
62C4×D8×C73C2211yescharacteristic
63#428×C73C411yescharacteristic
64#418×C73C411yescharacteristic
65#417×C73C411yescharacteristic
66C4×M16×C73C2211yescharacteristic
67C2×#11924012—21no—
68C2×#11924012—21no—
69C2×#11924012—21no—
70C2×#11924012—21no—
71C2×#11924012—44no—
72C2×#11924012D411yescharacteristic
73C2×#11924012D411yescharacteristic
74C22×#10596831—21no—
75C22×#10596831—21no—
76C22×#10596831—21no—
77C22×#10596831—21no—
78C4⋊#10596831—21no—
79C4⋊#10596831—21no—
80C4⋊#10596831—21no—
81C4⋊#10596831C2311yescharacteristic
82C4⋊#10596831C2311yescharacteristic
83C4⋊#10596831C2311yescharacteristic
84C4⋊#10596831C2311yescharacteristic
85C22⋊#10596831—21no—
86C22⋊#10596831—21no—
87C22⋊#10596831—21no—
88C22⋊#10596831—21no—
89C22⋊#10596831—21no—
90C22⋊#10596831—21no—
91C22⋊#10596831—21no—
92#14556502—21no—
93#14556502—21no—
94#14556502—21no—
95#14556502—21no—
96#14556502D411yescharacteristic
97#14556502D411yescharacteristic
98C4×#10596831C2311yescharacteristic
99C4×#10596831C2311yescharacteristic
100C4×#10596831C2311yescharacteristic
101C4×#10596831C2311yescharacteristic
102C2×#41×C73C2×C411yescharacteristic
103C22×D4×C73C2×C411yescharacteristic
104C23×C4×C73—21no—
105AGL(1,ℤ/8)×C73—24no—
106C2×SD16×C73C2×C411yescharacteristic
107C2×SD16×C73C2×C411yescharacteristic
108C2×D8×C73C2×C411yescharacteristic
109C2×D8×C73C2×C411yescharacteristic
110C2×M16×C73C2×C411yescharacteristic
111C2×M16×C73C2×C411yescharacteristic
112C4×Q8×C73C2×C411yescharacteristic
113C4×Q8×C73C2311yescharacteristic
114C4×D4×C73—21no—
115C4×D4×C73—21no—
116C4×D4×C73—21no—
117C4×D4×C73—21no—
118C4×D4×C73C2×C411yescharacteristic
119C4×D4×C73C2×C411yescharacteristic
120C4×D4×C73C2×C411yescharacteristic
121C4×D4×C73C2311yescharacteristic
122C4×D4×C73C2311yescharacteristic
123C4×D4×C73C2311yescharacteristic
124#117×C73—21no—
125#117×C73C2×C411yescharacteristic
126C2×C4⋊C4×C73C2×C411yescharacteristic
127C2×C22⋊C4×C73—21no—
128C2×C42×C73—21no—
129C2×C42×C73C2311yescharacteristic
130#107×C73C2×C411yescharacteristic
131#107×C73C2×C411yescharacteristic
132#106×C73C2×C411yescharacteristic
133#106×C73C2×C411yescharacteristic
134#103×C73C2×C411yescharacteristic
135#103×C73C2×C411yescharacteristic
136#102×C73C2×C411yescharacteristic
137#102×C73C2×C411yescharacteristic
138#102×C73C2×C411yescharacteristic
139#102×C73C2×C411yescharacteristic
140#102×C73C2×C411yescharacteristic
141#102×C73C2×C411yescharacteristic
142#97×C73C2×C411yescharacteristic
143#97×C73C2×C411yescharacteristic
144C4×C8×C73C2311yescharacteristic
145C4×C8×C73C2311yescharacteristic
146#11924012—22no—
147#11924012—41no—
148#11924012—42no—
149#11924012—42no—
150#11924012—42no—
151#11924012—42no—
152C2×#10596831—21no—
153C2×#10596831—21no—
154C2×#10596831—21no—
155C2×#10596831—21no—
156C2×#10596831—21no—
157C2×#10596831—21no—
158C2×#10596831—42no—
159C2×#10596831—42no—
160C2×#10596831—42no—
161C2×#10596831—42no—
162C2×#10596831C2×D411yescharacteristic
163C2×#10596831C2×D411yescharacteristic
164C2×#10596831C2×D411yescharacteristic
165C2×#10596831C2×D411yescharacteristic
166C24×C73—21no—
167#41×C73—22no—
168#41×C73—41no—
169C2×Q8×C73C22×C411yescharacteristic
170C2×D4×C73—22no—
171C2×D4×C73—21no—
172C2×D4×C73—21no—
173C2×D4×C73—41no—
174C2×D4×C73C22×C411yescharacteristic
175C2×D4×C73C22×C411yescharacteristic
176C2×D4×C73C22×C411yescharacteristic
177C22×C4×C73—21no—
178C22×C4×C73—21no—
179C22×C4×C73—21no—
180C22×C4×C73—21no—
181C22×C4×C73—21no—
182C22×C4×C73—21no—
183C22×C4×C73—21no—
184C22×C4×C73—21no—
185C22×C4×C73—42no—
186C22×C4×C73—42no—
187C22×C4×C73C22×C411yescharacteristic
188C22×C4×C73C2×D411yescharacteristic
189C22×C4×C73#4111yescharacteristic
190SD16×C73—22no—
191SD16×C73—22no—
192D8×C73—22no—
193D8×C73M1614yescomplemented
194M16×C73—22no—
195M16×C73—41no—
196C2×C8×C73C22×C411yescharacteristic
197C2×C8×C73C22×C411yescharacteristic
198C2×C8×C73C22×C411yescharacteristic
199C2×C8×C73C22×C411yescharacteristic
200C4⋊C4×C73—21no—
201C4⋊C4×C73—21no—
202C4⋊C4×C73—21no—
203C4⋊C4×C73C22×C411yescharacteristic
204C4⋊C4×C73C22×C411yescharacteristic
205C4⋊C4×C73C22×C411yescharacteristic
206C4⋊C4×C73C22×C411yescharacteristic
207C22⋊C4×C73—21no—
208C22⋊C4×C73—21no—
209C22⋊C4×C73—21no—
210C22⋊C4×C73—21no—
211C22⋊C4×C73—21no—
212C22⋊C4×C73—21no—
213C22⋊C4×C73—21no—
214C42×C73—21no—
215C42×C73—21no—
216C42×C73—21no—
217C42×C73C22×C411yescharacteristic
218C42×C73C2×D411yescharacteristic
219C42×C73#4111yescharacteristic
220C42×C73C2411yescharacteristic
221C23×C73—21no—
222C23×C73—21no—
223C23×C73—21no—
224C23×C73—42no—
225C23×C73—42no—
226C23×C73—81no—
227C23×C73C4×D411yescharacteristic
228Q8×C73—21no—
229Q8×C73—21no—
230D4×C73—21no—
231D4×C73—21no—
232D4×C73—21no—
233D4×C73—21no—
234D4×C73—42no—
235D4×C73—42no—
236D4×C73C2×M1612yes—
237D4×C73C2×M1612yescomplemented
238C2×C4×C73—21no—
239C2×C4×C73—21no—
240C2×C4×C73—21no—
241C2×C4×C73—21no—
242C2×C4×C73—21no—
243C2×C4×C73—21no—
244C2×C4×C73—21no—
245C2×C4×C73—21no—
246C2×C4×C73—21no—
247C2×C4×C73—41no—
248C2×C4×C73—42no—
249C2×C4×C73—42no—
250C2×C4×C73—42no—
251C2×C4×C73—42no—
252C2×C4×C73—41no—
253C2×C4×C73—41no—
254C2×C4×C73—41no—
255C2×C4×C73—41no—
256C2×C4×C73—41no—
257C2×C4×C73—41no—
258C2×C4×C73—81no—
259C2×C4×C73C4×D411yescharacteristic
260C2×C4×C73C4×D411yescharacteristic
261C2×C4×C73C4×D411yescharacteristic
262C2×C4×C73C23×C411yescharacteristic
263C2×C4×C73C22×D411yescharacteristic
264C2×C4×C73C2×#4111yescharacteristic
265C8×C73—21no—
266C8×C73—21no—
267C8×C73—21no—
268C8×C73C2×M1612yescomplemented
269#10596831—22no—
270#10596831—21no—
271#10596831—21no—
272#10596831—21no—
273#10596831—41no—
274#10596831—41no—
275#10596831—41no—
276#10596831—41no—
277#10596831—41no—
278#10596831AGL(1,ℤ/8)12yescomplemented
279C22×C73—21no—
280C22×C73—22no—
281C22×C73—22no—
282C22×C73—21no—
283C22×C73—21no—
284C22×C73—41no—
285C22×C73—41no—
286C22×C73—41no—
287C22×C73—41no—
288C22×C73—41no—
289C22×C73—41no—
290C22×C73—41no—
291C22×C73—84no—
292C22×C73C2×C4×D411yescharacteristic
293C4×C73—21no—
294C4×C73—21no—
295C4×C73—21no—
296C4×C73—21no—
297C4×C73—41no—
298C4×C73—41no—
299C4×C73—41no—
300C4×C73—41no—
301C4×C73—41no—
302C4×C73C22×M1611yescharacteristic
303C4×C73#56811yescharacteristic
304C4×C73C2×AGL(1,ℤ/8)11yescharacteristic
305C4×C73#57511yescharacteristic
306#18046—731nomaximal, Sylow
307C2×C73—41no—
308C2×C73—42no—
309C2×C73—42no—
310C2×C73—81no—
311C2×C73D4×M1611yescharacteristic
312C2×C73C4×AGL(1,ℤ/8)11yescharacteristic
313C2×C73#295611yescharacteristic
314#2970—731no—
315C4×AGL(1,ℤ/8)D7311yescharacteristic
316D4×M16—731no—
317#1592—731no—
318#1590—731no—
319#1586—731no—
320#1585—731no—
321#1582—731no—
322#1581—731no—
323#1580—731no—
324C8×D8—731no—
325#1569—731no—
326#1490—731no—
327#1489—731no—
328#1455—731no—
329C73#1804611yescharacteristic, complemented, Sylow
330C2×AGL(1,ℤ/8)Dic7311yescharacteristic
331C22×M16—1461no—
332C4×#41C2×D7311yescharacteristic
333C2×C4×D4C2×D7311yescharacteristic
334#446—731no—
335#446—731no—
336#442Dic7311yescharacteristic
337#442Dic7311yescharacteristic
338#440Dic7311yescharacteristic
339#440Dic7311yescharacteristic
340C4×SD16C2×D7311yescharacteristic
341C4×SD16C2×D7311yescharacteristic
342C4×D8C2×D7311yescharacteristic
343C4×D8C2×D7311yescharacteristic
344#436—731no—
345#436—731no—
346#435—1461no—
347#435—1461no—
348#435—1461no—
349#435—1461no—
350C8×D4—731no—
351C8×D4—731no—
352C8×D4—731no—
353C8×D4—731no—
354#432—731no—
355#432—1461no—
356#428Dic7311yescharacteristic
357#423—731no—
358#418Dic7311yescharacteristic
359#417Dic7311yescharacteristic
360#407—1461no—
361C4×M16—731no—
362C4×M16—731no—
363C4×M16C2×D7311yescharacteristic
364C2×#97—1461no—
365#335—731no—
366#335—731no—
367#334—731no—
368#334—731no—
369Q8⋊C8—731no—
370Q8⋊C8—731no—
371D4⋊C8—731no—
372D4⋊C8—731no—
373D4⋊C8—731no—
374D4⋊C8—731no—
375D4⋊C8—731no—
376D4⋊C8—731no—
377#322—731no—
378#322—731no—
379#322—731no—
380C82—731no—
381C2×#41C2×Dic7311yescharacteristic
382C22×D4C2×Dic7311yescharacteristic
383C23×C4—21no—
384AGL(1,ℤ/8)—24no—
385C2×SD16C2×Dic7311yescharacteristic
386C2×SD16C2×Dic7311yescharacteristic
387C2×D8C2×Dic7311yescharacteristic
388C2×D8C2×Dic7311yescharacteristic
389C2×M16—2924no—
390C2×M16—731no—
391C2×M16—731no—
392C2×M16—1461no—
393C2×M16—1461no—
394C2×M16—1461no—
395C2×M16—1461no—
396C2×M16C2×Dic7311yescharacteristic
397C2×M16C2×Dic7311yescharacteristic
398C22×C8—1461no—
399C22×C8—1461no—
400C22×C8—1461no—
401C22×C8—1461no—
402C4×Q8C2×Dic7311yescharacteristic
403C4×Q8C22×D7311yescharacteristic
404C4×D4—21no—
405C4×D4—21no—
406C4×D4—21no—
407C4×D4—21no—
408C4×D4C2×Dic7311yescharacteristic
409C4×D4C2×Dic7311yescharacteristic
410C4×D4C2×Dic7311yescharacteristic
411C4×D4C22×D7311yescharacteristic
412C4×D4C22×D7311yescharacteristic
413C4×D4C22×D7311yescharacteristic
414#117—21no—
415#117C2×Dic7311yescharacteristic
416C2×C4⋊C4C2×Dic7311yescharacteristic
417C2×C22⋊C4—21no—
418C2×C42—21no—
419C2×C42C22×D7311yescharacteristic
420#107C2×Dic7311yescharacteristic
421#107C2×Dic7311yescharacteristic
422#106C2×Dic7311yescharacteristic
423#106C2×Dic7311yescharacteristic
424C4⋊C8—731no—
425C4⋊C8—731no—
426C4⋊C8—731no—
427C4⋊C8—731no—
428C4⋊C8—1461no—
429C4⋊C8—1461no—
430C4⋊C8—1461no—
431#103C2×Dic7311yescharacteristic
432#103C2×Dic7311yescharacteristic
433#102C2×Dic7311yescharacteristic
434#102C2×Dic7311yescharacteristic
435#102C2×Dic7311yescharacteristic
436#102C2×Dic7311yescharacteristic
437#102C2×Dic7311yescharacteristic
438#102C2×Dic7311yescharacteristic
439C22⋊C8—1461no—
440C22⋊C8—1461no—
441C22⋊C8—1461no—
442C22⋊C8—1461no—
443C22⋊C8—1461no—
444C22⋊C8—1461no—
445C22⋊C8—1461no—
446#97—731no—
447#97—731no—
448#97—1461no—
449#97—1461no—
450#97—1461no—
451#97—1461no—
452#97C2×Dic7311yescharacteristic
453#97C2×Dic7311yescharacteristic
454C4×C8—731no—
455C4×C8—731no—
456C4×C8—731no—
457C4×C8—731no—
458C4×C8C22×D7311yescharacteristic
459C4×C8C22×D7311yescharacteristic
460C24—21no—
461#41—22no—
462#41—41no—
463C2×Q8C22×Dic7311yescharacteristic
464C2×D4—22no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—41no—
468C2×D4C22×Dic7311yescharacteristic
469C2×D4C22×Dic7311yescharacteristic
470C2×D4C22×Dic7311yescharacteristic
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4C22×Dic7311yescharacteristic
482C22×C4D4×D7311yescharacteristic
483C22×C4#1192402711yescharacteristic
484SD16—22no—
485SD16—22no—
486D8—22no—
487D8#1192401214yescomplemented
488M16—22no—
489M16—41no—
490M16—2922no—
491M16—2922no—
492M16—2922no—
493M16—2922no—
494M16—2921no—
495M16—1462no—
496C2×C8—2922no—
497C2×C8—2922no—
498C2×C8—2922no—
499C2×C8—2922no—
500C2×C8—731no—
501C2×C8—731no—
502C2×C8—731no—
503C2×C8—731no—
504C2×C8—1461no—
505C2×C8—1461no—
506C2×C8—1461no—
507C2×C8—1461no—
508C2×C8—1461no—
509C2×C8—1461no—
510C2×C8C22×Dic7311yescharacteristic
511C2×C8C22×Dic7311yescharacteristic
512C2×C8C22×Dic7311yescharacteristic
513C2×C8C22×Dic7311yescharacteristic
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4C22×Dic7311yescharacteristic
518C4⋊C4C22×Dic7311yescharacteristic
519C4⋊C4C22×Dic7311yescharacteristic
520C4⋊C4C22×Dic7311yescharacteristic
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C22⋊C4—21no—
527C22⋊C4—21no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42C22×Dic7311yescharacteristic
532C42D4×D7311yescharacteristic
533C42#1192402711yescharacteristic
534C42C23×D7311yescharacteristic
535C23—21no—
536C23—21no—
537C23—21no—
538C23—42no—
539C23—42no—
540C23—81no—
541C23D4×Dic7311yescharacteristic
542Q8—21no—
543Q8—21no—
544D4—21no—
545D4—21no—
546D4—21no—
547D4—21no—
548D4—42no—
549D4—42no—
550D4C2×#1192401212yes—
551D4C2×#1192401212yescomplemented
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—41no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—81no—
573C2×C4D4×Dic7311yescharacteristic
574C2×C4D4×Dic7311yescharacteristic
575C2×C4D4×Dic7311yescharacteristic
576C2×C4C23×Dic7311yescharacteristic
577C2×C4C2×D4×D7311yescharacteristic
578C2×C4C2×#1192402711yescharacteristic
579C8—21no—
580C8—21no—
581C8—21no—
582C8—2921no—
583C8—2921no—
584C8—2921no—
585C8—2921no—
586C8—2921no—
587C8—732no—
588C8—1462no—
589C8—1461no—
590C8—1461no—
591C8—1461no—
592C8C2×#1192401212yescomplemented
593C22—21no—
594C22—22no—
595C22—22no—
596C22—21no—
597C22—21no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—84no—
606C22C2×D4×Dic7311yescharacteristic
607C4—21no—
608C4—21no—
609C4—21no—
610C4—21no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4C22×#1192401211yescharacteristic
617C4#1798935411yescharacteristic
618C4AGL(1,ℤ/8)×D7311yescharacteristic
619C4#1798938311yescharacteristic
620C2—41no—
621C2—42no—
622C2—42no—
623C2—81no—
624C2D4×#1192401211yescharacteristic
625C2AGL(1,ℤ/8)×Dic7311yescharacteristic
626C2#2261884111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC42C23×D73
FittingC4×AGL(1,ℤ/8)×C73C2
socleC22×C73C2×C4×D4
prime radicalC2×AGL(1,ℤ/8)×C73C4
cosocleC42×C73C24
hypercenterC4×AGL(1,ℤ/8)D73
hypocenterC73#18046
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #22618945C2semidirect
2. D4×#11924012C2semidirect
3. #22608834C2semidirect
4. #22608822C2semidirect
5. #22608796C2semidirect
6. #22608789C2semidirect
7. #22608768C2semidirect
8. #22608761C2semidirect
9. #22608755C2semidirect
10. D8×#10596831C2semidirect
11. #22608698C2semidirect
12. #22608374C2semidirect
13. #22608370C2semidirect
14. #22608234C2semidirect
17. #17988718C22semidirect
18. #17988718C22semidirect
27. D4×#10596831C22semidirect
28. D4×#10596831C22semidirect
36. #17988340C22semidirect
37. #17988340C22semidirect
38. #17988338C22semidirect
39. #17988338C22semidirect
40. Q8⋊#10596831C22semidirect
41. Q8⋊#10596831C22semidirect
46. D4⋊#10596831C22semidirect
47. D4⋊#10596831C22semidirect
48. #17988309C22semidirect
49. #17988309C22semidirect
50. #17988308C22semidirect
51. C8×#10596831C22semidirect
193. D8×C73M16semidirect
237. D4×C73C2×M16semidirect
268. C8×C73C2×M16semidirect
278. #10596831AGL(1,ℤ/8)semidirect
329. C73#18046semidirect
487. D8#11924012semidirect
551. D4C2×#11924012semidirect
592. C8C2×#11924012semidirect

Maximal subgroups

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

subgroupindex
#226189452
D4×#119240122
#226088342
#226088222
#226087962
#226087892
#226087682
#226087612
#226087552
D8×#105968312
#226086982
#226083742
#226083702
#226082342
C4×AGL(1,ℤ/8)×C732
#1804673