Finite Group Databasebeta

← #2314×D89 #36713017

Subgroups — #2314×D89 #36713017

Order 22784.

2678 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D89C211yesmaximal, characteristic
2#26022862C211yesmaximal, characteristic, complemented
3#26022861C211yesmaximal, characteristic, complemented
4#26022860C211yesmaximal, characteristic, complemented
5#26022859C212yesmaximal, complemented
6#26022858C214yesmaximal, complemented
7#26022857C212yesmaximal, complemented
8#26022856C214yesmaximal, complemented
9#388×D89C214yesmaximal
10#387×D89C214yesmaximal, complemented
11#384×D89C211yesmaximal, characteristic, complemented
12#382×D89C211yesmaximal, characteristic, complemented
13#380×D89C212yesmaximal
14C4×C4⋊C4×D89C212yesmaximal, complemented
15C89×#2314C211yesmaximal, characteristic, complemented
16C23×C4×D89C2211yescharacteristic
17C2×#15667971C2211yescharacteristic
18C2×#15667970C2212yes—
19C2×#15667969C2211yescharacteristic
20C2×#15667969C2211yescharacteristic
21C2×#15667968C2212yes—
22#117×D89C4116yescomplemented
23C2×C4⋊C4×D89C2212yes—
24C2×C4⋊C4×D89C2212yes—
25C2×C4⋊C4×D89C2214yes—
26C2×C4⋊C4×D89C2212yes—
27C2×C22⋊C4×D89C2214yes—
28C2×C22⋊C4×D89C2212yes—
29C2×C42×D89C2214yes—
30C2×C42×D89C2211yescharacteristic
31C2×C42×D89C2211yescharacteristic
32#19151492C2214yes—
33#19151491C2214yes—
34#19151490C2214yes—
35#19151489C2214yes—
36#19151488C2214yes—
37#19151487C2214yes—
38#19151486C2214yes—
39#19151485C2214yescomplemented
40#19151484C2214yescomplemented
41#19151483C2214yescomplemented
42#19151482C2214yescomplemented
43#19151481C2214yescomplemented
44#19151480C2214yescomplemented
45#19151479C2214yescomplemented
46#19151468C2211yescharacteristic, complemented
47#19151467C2214yescomplemented
48#19151467C2212yescomplemented
49#19151464C2211yescharacteristic, complemented
50#19151463C2212yescomplemented
51#19151462C2214yescomplemented
52#19151458C2212yes—
53#19151457C2214yes—
54#19151456C2214yes—
55#19151455C2212yes—
56#19151455C2212yes—
57C4⋊C4×Dic89C2212yescomplemented
58C4⋊C4×Dic89C2212yescomplemented
59C4×#13083553C2214yescomplemented
60C4×C4⋊Dic89C2212yescomplemented
61#19151449C2214yescomplemented
62#95×D89C2214yes—
63#95×D89C2214yes—
64#95×D89C2214yes—
65C2×#117×C89C2211yescharacteristic
66#388×C89C2214yes—
67#387×C89C2214yescomplemented
68#384×C89C2211yescharacteristic, complemented
69#382×C89C2211yescharacteristic, complemented
70#380×C89C2212yes—
71C4×C4⋊C4×C89C2212yescomplemented
72C24×D89C2311yescharacteristic
73C23×Dic89C2311yescharacteristic
74C22×C4×D89—24no—
75C22×C4×D89—24no—
76C22×C4×D89C2×C418yes—
77C22×C4×D89C2314yes—
78C22×C4×D89C2314yes—
79C22×C4×D89C2311yescharacteristic
80C22×C4×D89C2311yescharacteristic
81C22×C4×D89C2311yescharacteristic
82C22×C4×D89C2312yes—
83C22×C4×D89C2312yes—
84C22×C4×D89C2311yescharacteristic
85#15667971C2×C418yescomplemented
86#15667970C2×C4116yescomplemented
87#15667969C2×C418yescomplemented
88#15667969C2×C418yescomplemented
89#15667968C2×C4116yescomplemented
90C2×C4⋊Dic89C2312yes—
91C2×C4⋊Dic89C2312yes—
92C2×C4⋊Dic89C2314yes—
93C2×C4⋊Dic89C2312yes—
94C2×#13083553C2314yes—
95C2×#13083553C2314yes—
96C2×#13083553C2314yes—
97C2×#13083553C2314yes—
98C2×#13083553C2312yes—
99C2×#13083553C2312yes—
100C4⋊C4×D89—28no—
101C4⋊C4×D89—28no—
102C4⋊C4×D89—48no—
103C4⋊C4×D89C2×C4116yes—
104C2×C22⋊Dic89C2314yes—
105C2×C22⋊Dic89C2312yes—
106C2×#13083551C2314yes—
107C2×#13083551C2314yes—
108C2×#13083551C2312yes—
109C2×#13083551C2312yes—
110C22⋊C4×D89—48no—
111C22⋊C4×D89C2×C4116yes—
112C2×C4×Dic89C2314yes—
113C2×C4×Dic89C2314yes—
114C2×C4×Dic89C2314yes—
115C2×C4×Dic89C2312yes—
116C2×C4×Dic89C2311yescharacteristic
117C2×C4×Dic89C2312yes—
118C2×C4×Dic89C2311yescharacteristic
119C42×D89—48no—
120C42×D89C2×C418yes—
121C42×D89C2×C418yes—
122#15667919C2314yes—
123#15667919C2314yes—
124#15667919C2314yes—
125#15667919C2314yes—
126#15667919C2314yes—
127#15667919C2314yes—
128#15667919C2314yes—
129#15667919C2314yes—
130#15667919C2314yes—
131C23×C4×C89C2311yescharacteristic
132#117×C89C2×C418yescomplemented
133C2×C4⋊C4×C89C2312yes—
134C2×C4⋊C4×C89C2312yes—
135C2×C4⋊C4×C89C2314yes—
136C2×C4⋊C4×C89C2312yes—
137C2×C22⋊C4×C89C2314yes—
138C2×C22⋊C4×C89C2312yes—
139C2×C42×C89C2314yes—
140C2×C42×C89C2311yescharacteristic
141C2×C42×C89C2311yescharacteristic
142#95×C89C2314yes—
143#95×C89C2314yes—
144#95×C89C2314yes—
145C23×D89—22no—
146C23×D89—22no—
147C23×D89—24no—
148C23×D89—24no—
149C23×D89C22×C414yes—
150C23×D89C2411yescharacteristic
151C23×D89C2411yescharacteristic
152C22×Dic89—22no—
153C22×Dic89—22no—
154C22×Dic89C22×C414yes—
155C22×Dic89C2414yes—
156C22×Dic89C2414yes—
157C22×Dic89C2411yescharacteristic
158C22×Dic89C2412yes—
159C22×Dic89C2412yes—
160C22×Dic89C2411yescharacteristic
161C2×C4×D89—22no—
162C2×C4×D89—22no—
163C2×C4×D89—24no—
164C2×C4×D89—24no—
165C2×C4×D89—24no—
166C2×C4×D89—24no—
167C2×C4×D89—22no—
168C2×C4×D89—22no—
169C2×C4×D89—22no—
170C2×C4×D89—22no—
171C2×C4×D89—232no—
172C2×C4×D89—28no—
173C2×C4×D89—28no—
174C2×C4×D89—28no—
175C2×C4×D89—28no—
176C2×C4×D89—28no—
177C2×C4×D89—28no—
178C2×C4×D89C22×C414yes—
179C2×C4×D89C22×C414yes—
180C2×C4×D89C22×C414yes—
181C2×C4×D89C22×C418yes—
182C2×C4×D89C22×C418yes—
183C2×C4×D89C22×C414yes—
184C2×C4×D89#4114yes—
185C2×C4×D89#4114yes—
186C4⋊Dic89—24no—
187C4⋊Dic89—24no—
188C4⋊Dic89—44no—
189C4⋊Dic89C22×C418yes—
190#13083553—28no—
191#13083553—28no—
192#13083553—44no—
193#13083553—44no—
194#13083553C22×C418yes—
195#13083553C22×C418yes—
196C22⋊Dic89—44no—
197C22⋊Dic89C22×C418yes—
198#13083551—44no—
199#13083551—44no—
200#13083551C22×C418yes—
201#13083551C22×C418yes—
202C4×Dic89—44no—
203C4×Dic89—44no—
204C4×Dic89—44no—
205C4×Dic89C22×C418yes—
206C4×Dic89C22×C418yes—
207C4×Dic89C22×C414yes—
208C4×Dic89C22×C414yes—
209C24×C89C2411yescharacteristic
210C22×C4×C89—22no—
211C22×C4×C89—22no—
212C22×C4×C89C22×C414yes—
213C22×C4×C89C2414yes—
214C22×C4×C89C2414yes—
215C22×C4×C89C2411yescharacteristic
216C22×C4×C89C2412yes—
217C22×C4×C89C2412yes—
218C22×C4×C89C2411yescharacteristic
219C4⋊C4×C89—24no—
220C4⋊C4×C89—24no—
221C4⋊C4×C89—44no—
222C4⋊C4×C89C22×C418yes—
223C22⋊C4×C89—44no—
224C22⋊C4×C89C22×C418yes—
225C42×C89—44no—
226C42×C89C22×C414yes—
227C42×C89C22×C414yes—
228C23×C89—21no—
229C23×C89—21no—
230C23×C89—22no—
231C23×C89—22no—
232C23×C89C23×C412yes—
233C23×C89C2511yescharacteristic
234C22×D89—21no—
235C22×D89—21no—
236C22×D89—22no—
237C22×D89—22no—
238C22×D89—28no—
239C22×D89—216no—
240C22×D89—44no—
241C22×D89—44no—
242C22×D89—48no—
243C22×D89C23×C412yes—
244C22×D89C23×C412yes—
245C22×D89C2×#4112yes—
246C22×D89C2×#4112yes—
247C22×D89H(5,𝔽2)14yes—
248C22×D892−1+414yes—
249C2×C4×C89—21no—
250C2×C4×C89—21no—
251C2×C4×C89—22no—
252C2×C4×C89—22no—
253C2×C4×C89—22no—
254C2×C4×C89—22no—
255C2×C4×C89—28no—
256C2×C4×C89—24no—
257C2×C4×C89—24no—
258C2×C4×C89—24no—
259C2×C4×C89—24no—
260C2×C4×C89—24no—
261C2×C4×C89—24no—
262C2×C4×C89C23×C414yes—
263C2×C4×C89C23×C414yes—
264C2×C4×C89C23×C412yes—
265C2×C4×C89C23×C412yes—
266C2×C4×C89C2×#4112yes—
267C2×C4×C89C2×#4112yes—
268C2×Dic89—21no—
269C2×Dic89—21no—
270C2×Dic89—22no—
271C2×Dic89—22no—
272C2×Dic89—22no—
273C2×Dic89—22no—
274C2×Dic89—28no—
275C2×Dic89—24no—
276C2×Dic89—24no—
277C2×Dic89—24no—
278C2×Dic89—24no—
279C2×Dic89—24no—
280C2×Dic89—24no—
281C2×Dic89C23×C414yes—
282C2×Dic89C23×C414yes—
283C2×Dic89C23×C412yes—
284C2×Dic89C23×C412yes—
285C2×Dic89C2×#4112yes—
286C2×Dic89C2×#4112yes—
287C4×D89—28no—
288C4×D89—216no—
289C4×D89—216no—
290C4×D89—28no—
291C4×D89—28no—
292C4×D89—416no—
293C4×D89—416no—
294C4×D89#117116yes—
295C22×C89—22no—
296C22×C89—24no—
297C22×C89—41no—
298C22×C89—41no—
299C22×C89—42no—
300C22×C89C24×C411yescharacteristic
301C22×C89C22×#4111yescharacteristic
302C22×C89C22×#4111yescharacteristic
303C22×C89C2×H(5,𝔽2)12yes—
304C22×C89C2×2−1+412yes—
305C2×D89—22no—
306C2×D89—24no—
307C2×D89—41no—
308C2×D89—41no—
309C2×D89—42no—
310C2×D89—416no—
311C2×D89C2×#11714yes—
312C2×D89#52018yes—
313C2×D89#54014yes—
314C2×D89#54114yes—
315C2×D89#54218yes—
316C4×C89—22no—
317C4×C89—24no—
318C4×C89—24no—
319C4×C89—44no—
320C4×C89—44no—
321C4×C89C2×#11714yes—
322Dic89—22no—
323Dic89—24no—
324Dic89—24no—
325Dic89—44no—
326Dic89—44no—
327Dic89C2×#11714yes—
328C2×#2314—891nomaximal, Sylow
329C2×C89—42no—
330C2×C89C22×#11711yescharacteristic
331C2×C89C2×#52012yes—
332C2×C89C2×#54011yescharacteristic
333C2×C89C2×#54111yescharacteristic
334C2×C89C2×#54212yes—
335D89—42no—
336D89#231418yesdirect product factor
337C22×#117—891no—
338#2314—894no—
339#2314—894no—
340#2314—891no—
341#2314—891no—
342#2314—892no—
343#2314—892no—
344#2314—891no—
345#2314D8911yescharacteristic, direct product factor
346C2×#388—894no—
347C2×#387—894no—
348C2×#384—891no—
349C2×#382—891no—
350C2×#380—892no—
351C2×C4×C4⋊C4—892no—
352C89C2×#231411yescharacteristic, complemented, Sylow
353C24×C4—891no—
354C2×#117—891no—
355C2×#117—8916no—
356C2×#117—892no—
357C2×#117—892no—
358C2×#117—891no—
359C2×#117—891no—
360C2×#117C2×D8911yescharacteristic
361C22×C4⋊C4—892no—
362C22×C4⋊C4—894no—
363C22×C4⋊C4—892no—
364C22×C4⋊C4—892no—
365C22×C22⋊C4—892no—
366C22×C22⋊C4—894no—
367C22×C42—891no—
368C22×C42—891no—
369C22×C42—894no—
370#388—894no—
371#388—894no—
372#388—894no—
373#388—894no—
374#388—894no—
375#388—894no—
376#388—894no—
377#388C2×D8914yes—
378#387—894no—
379#387—894no—
380#387—894no—
381#387—894no—
382#387—894no—
383#387—894no—
384#387—894no—
385#387C2×D8914yescomplemented
386#384—892no—
387#384—894no—
388#384—891no—
389#384C2×D8911yescharacteristic, complemented
390#382—892no—
391#382—891no—
392#382—894no—
393#382C2×D8911yescharacteristic, complemented
394#380—892no—
395#380—892no—
396#380—892no—
397#380—894no—
398#380—894no—
399#380C2×D8912yes—
400C4×C4⋊C4—892no—
401C4×C4⋊C4—892no—
402C4×C4⋊C4—892no—
403C4×C4⋊C4—894no—
404C4×C4⋊C4—894no—
405C4×C4⋊C4C2×D8912yescomplemented
406C2×#95—894no—
407C2×#95—894no—
408C2×#95—894no—
409C25—891no—
410C23×C4—891no—
411C23×C4—891no—
412C23×C4—898no—
413C23×C4—892no—
414C23×C4—892no—
415C23×C4—891no—
416C23×C4—891no—
417C23×C4—891no—
418C23×C4—894no—
419C23×C4—894no—
420C23×C4—1784no—
421C23×C4—1784no—
422C23×C4C22×D8911yescharacteristic
423#117—898no—
424#117—8916no—
425#117—8916no—
426#117—898no—
427#117—898no—
428#117C4×D8918yescomplemented
429C2×C4⋊C4—892no—
430C2×C4⋊C4—892no—
431C2×C4⋊C4—892no—
432C2×C4⋊C4—8916no—
433C2×C4⋊C4—894no—
434C2×C4⋊C4—894no—
435C2×C4⋊C4—894no—
436C2×C4⋊C4—894no—
437C2×C4⋊C4—892no—
438C2×C4⋊C4—894no—
439C2×C4⋊C4—892no—
440C2×C4⋊C4—3568no—
441C2×C4⋊C4—1788no—
442C2×C4⋊C4—1788no—
443C2×C4⋊C4C22×D8912yes—
444C2×C4⋊C4C22×D8912yes—
445C2×C4⋊C4C22×D8914yes—
446C2×C4⋊C4C22×D8912yes—
447C2×C22⋊C4—892no—
448C2×C22⋊C4—892no—
449C2×C22⋊C4—892no—
450C2×C22⋊C4—8916no—
451C2×C22⋊C4—894no—
452C2×C22⋊C4—894no—
453C2×C22⋊C4—894no—
454C2×C22⋊C4—3568no—
455C2×C22⋊C4C22×D8914yes—
456C2×C22⋊C4C22×D8912yes—
457C2×C42—892no—
458C2×C42—891no—
459C2×C42—892no—
460C2×C42—891no—
461C2×C42—898no—
462C2×C42—898no—
463C2×C42—894no—
464C2×C42—894no—
465C2×C42—894no—
466C2×C42—3568no—
467C2×C42C22×D8914yes—
468C2×C42C22×D8911yescharacteristic
469C2×C42C22×D8911yescharacteristic
470#95—894no—
471#95—894no—
472#95—894no—
473#95—894no—
474#95—894no—
475#95—894no—
476#95—894no—
477#95—894no—
478#95—894no—
479#95C22×D8914yes—
480#95C22×D8914yes—
481#95C22×D8914yes—
482C24—891no—
483C24—894no—
484C24—891no—
485C24—1784no—
486C24—1782no—
487C24—1782no—
488C24—1784no—
489C24C23×D8911yescharacteristic
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—891no—
493C22×C4—894no—
494C22×C4—894no—
495C22×C4—894no—
496C22×C4—894no—
497C22×C4—891no—
498C22×C4—892no—
499C22×C4—892no—
500C22×C4—898no—
501C22×C4—898no—
502C22×C4—894no—
503C22×C4—894no—
504C22×C4—894no—
505C22×C4—894no—
506C22×C4—894no—
507C22×C4—1782no—
508C22×C4—1782no—
509C22×C4—17832no—
510C22×C4—1788no—
511C22×C4—1788no—
512C22×C4—1788no—
513C22×C4—1788no—
514C22×C4—1788no—
515C22×C4—1788no—
516C22×C4—1784no—
517C22×C4—1784no—
518C22×C4—1782no—
519C22×C4—1782no—
520C22×C4—1784no—
521C22×C4—1784no—
522C22×C4—1782no—
523C22×C4—1782no—
524C22×C4—1782no—
525C22×C4—1782no—
526C22×C4C2×C4×D8914yes—
527C22×C4C23×D8914yes—
528C22×C4C23×D8914yes—
529C22×C4C23×D8911yescharacteristic
530C22×C4C23×D8912yes—
531C22×C4C23×D8912yes—
532C22×C4C23×D8911yescharacteristic
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—44no—
536C4⋊C4—898no—
537C4⋊C4—898no—
538C4⋊C4—898no—
539C4⋊C4—3564no—
540C4⋊C4—3564no—
541C4⋊C4—3564no—
542C4⋊C4—1788no—
543C4⋊C4—1788no—
544C4⋊C4—1784no—
545C4⋊C4—1784no—
546C4⋊C4C2×C4×D8918yes—
547C22⋊C4—44no—
548C22⋊C4—898no—
549C22⋊C4—898no—
550C22⋊C4—898no—
551C22⋊C4—3564no—
552C22⋊C4—3564no—
553C22⋊C4—3564no—
554C22⋊C4C2×C4×D8918yes—
555C42—44no—
556C42—898no—
557C42—898no—
558C42—894no—
559C42—894no—
560C42—3564no—
561C42—3564no—
562C42—3564no—
563C42C2×C4×D8914yes—
564C42C2×C4×D8914yes—
565C23—21no—
566C23—21no—
567C23—22no—
568C23—22no—
569C23—892no—
570C23—892no—
571C23—892no—
572C23—894no—
573C23—894no—
574C23—892no—
575C23—3564no—
576C23—3564no—
577C23—3568no—
578C23—1788no—
579C23—17816no—
580C23—1781no—
581C23—1781no—
582C23—1782no—
583C23—1782no—
584C23C22×C4×D8912yes—
585C23C24×D8911yescharacteristic
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—28no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—892no—
600C2×C4—892no—
601C2×C4—892no—
602C2×C4—8916no—
603C2×C4—894no—
604C2×C4—894no—
605C2×C4—892no—
606C2×C4—35616no—
607C2×C4—35616no—
608C2×C4—1788no—
609C2×C4—17816no—
610C2×C4—17816no—
611C2×C4—1788no—
612C2×C4—1788no—
613C2×C4—1784no—
614C2×C4—1784no—
615C2×C4—1784no—
616C2×C4—1784no—
617C2×C4—1784no—
618C2×C4—1784no—
619C2×C4—1781no—
620C2×C4—1781no—
621C2×C4—1782no—
622C2×C4—1782no—
623C2×C4—1782no—
624C2×C4—1782no—
625C2×C4—1788no—
626C2×C4C22×C4×D8914yes—
627C2×C4C22×C4×D8914yes—
628C2×C4C22×C4×D8912yes—
629C2×C4C22×C4×D8912yes—
630C2×C4#41×D8912yes—
631C2×C4#41×D8912yes—
632C22—22no—
633C22—24no—
634C22—41no—
635C22—41no—
636C22—42no—
637C22—894no—
638C22—898no—
639C22—894no—
640C22—894no—
641C22—898no—
642C22—35616no—
643C22—3561no—
644C22—3561no—
645C22—3562no—
646C22—1782no—
647C22—1784no—
648C22C23×C4×D8911yescharacteristic
649C22C2×#41×D8911yescharacteristic
650C22C2×#41×D8911yescharacteristic
651C22H(5,𝔽2)×D8912yes—
652C222−1+4×D8912yes—
653C4—22no—
654C4—24no—
655C4—24no—
656C4—44no—
657C4—44no—
658C4—894no—
659C4—3564no—
660C4—3564no—
661C4—1782no—
662C4—1784no—
663C4—1784no—
664C4#117×D8914yes—
665C2—42no—
666C2—898no—
667C2—3562no—
668C2C2×#117×D8911yescharacteristic
669C2#520×D8912yes—
670C2#540×D8911yescharacteristic
671C2#541×D8911yescharacteristic
672C2#542×D8912yes—
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2314C2
socle, cosocleC23×C89C25
prime radicalC24×D89C23
hypercenter#2314D89
hypocenterC89C2×#2314
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. #26022862C2semidirect
3. #26022861C2semidirect
4. #26022860C2semidirect
5. #26022859C2semidirect
6. #26022858C2semidirect
7. #26022857C2semidirect
8. #26022856C2semidirect
10. #387×D89C2semidirect
11. #384×D89C2semidirect
12. #382×D89C2semidirect
14. C4×C4⋊C4×D89C2semidirect
15. C89×#2314C2semidirect
22. #117×D89C4semidirect
39. #19151485C22semidirect
40. #19151484C22semidirect
41. #19151483C22semidirect
42. #19151482C22semidirect
43. #19151481C22semidirect
44. #19151480C22semidirect
45. #19151479C22semidirect
46. #19151468C22semidirect
47. #19151467C22semidirect
48. #19151467C22semidirect
49. #19151464C22semidirect
50. #19151463C22semidirect
51. #19151462C22semidirect
57. C4⋊C4×Dic89C22semidirect
58. C4⋊C4×Dic89C22semidirect
59. C4×#13083553C22semidirect
60. C4×C4⋊Dic89C22semidirect
61. #19151449C22semidirect
67. #387×C89C22semidirect
68. #384×C89C22semidirect
69. #382×C89C22semidirect
71. C4×C4⋊C4×C89C22semidirect
85. #15667971C2×C4semidirect
86. #15667970C2×C4semidirect
87. #15667969C2×C4semidirect
88. #15667969C2×C4semidirect
89. #15667968C2×C4semidirect
132. #117×C89C2×C4semidirect
336. D89#2314direct (N × H)
345. #2314D89direct (N × H)
352. C89C2×#2314semidirect
385. #387C2×D89semidirect
389. #384C2×D89semidirect
393. #382C2×D89semidirect
405. C4×C4⋊C4C2×D89semidirect
428. #117C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D892
#260228622
#260228612
#260228602
#260228592
#260228582
#260228572
#260228562
#388×D892
#387×D892
#384×D892
#382×D892
#380×D892
C4×C4⋊C4×D892
C89×#23142
C2×#231489