Finite Group Databasebeta

← #26375685

Subgroups — #26375685

Order 12032.

2598 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic47C211yesmaximal, characteristic
2#20246352C212yesmaximal, complemented
3#20246326C214yesmaximal, complemented
4#20246293C212yesmaximal, complemented
5#20246275C211yesmaximal, characteristic, complemented
6#20246271C211yesmaximal, characteristic, complemented
7#20246250C212yesmaximal, complemented
8#20246244C212yesmaximal, complemented
9#20246218C211yesmaximal, characteristic
10#20245863C212yesmaximal, complemented
11#20245828C214yesmaximal, complemented
12#20245783C211yesmaximal, characteristic, complemented
13#20245779C212yesmaximal, complemented
14C4×D4×Dic47C212yesmaximal, complemented
15C4×#13093980C211yesmaximal, characteristic, complemented
16C2×#15688968C212yesmaximal, complemented
17C47×#2339C211yesmaximal, characteristic
18#41×Dic47C4116yescomplemented
19C2×Q8×Dic47C2211yescharacteristic
20C2×Q8×Dic47C2211yescharacteristic
21C2×D4×Dic47C2212yes—
22C2×D4×Dic47C2211yescharacteristic
23C2×D4×Dic47C2211yescharacteristic
24C2×D4×Dic47C2212yes—
25C2×D4×Dic47C2212yes—
26C2×#13093983C2211yescharacteristic
27C2×#13093983C2212yes—
28C2×#13093980C2212yes—
29C22×C4×Dic47C2214yes—
30C22×C4×Dic47C2212yes—
31C22×C4×Dic47C2211yescharacteristic
32#15689030C2212yes—
33#15689021C2212yes—
34#15689019C2212yes—
35#15689017C2214yes—
36#15689011C2214yes—
37#15689008C2214yes—
38#15689008C2214yes—
39#15689006C2214yes—
40#15689006C2214yes—
41#15689003C2214yes—
42#15688996C2214yes—
43#15688995C2214yes—
44#15688990C2214yes—
45#15688990C2212yes—
46#15688988C2212yes—
47#15688987C2212yes—
48#15688987C2212yes—
49#15688986C2212yes—
50#15688984C2212yes—
51#15688983C2211yescharacteristic
52#15688981C2214yes—
53C4⋊C4×Dic47C2212yes—
54C4⋊C4×Dic47C2212yes—
55C4×Dic47⋊C4C2212yes—
56C4×C4⋊Dic47C2212yes—
57#15688974C2214yes—
58#15688974C2211yescharacteristic
59#15688974C2211yescharacteristic
60C22⋊C4×Dic47C2214yes—
61C22⋊C4×Dic47C2212yes—
62C22⋊C4×Dic47C2212yes—
63C22⋊C4×Dic47C2214yes—
64C4×C22⋊Dic47C2211yescharacteristic
65C4×C22⋊Dic47C2214yes—
66#15688968C2212yes—
67#15688968C2211yescharacteristic
68#15688968C2212yes—
69#15688968C2214yes—
70#15688968C2214yes—
71#15688968C2211yescharacteristic
72#15688968C2212yes—
73C2×C47⋊#95C2214yes—
74C2×C47⋊#95C2212yes—
75C42×Dic47C2212yes—
76C22×#41×C47C2211yescharacteristic
77C2×C4×D4×C47C2212yes—
78C47×#391C2212yes—
79C47×#386C2214yes—
80C47×#381C2212yes—
81C47×#380C2211yescharacteristic
82C4×C22⋊C4×C47C2211yescharacteristic
83C2×#95×C47C2212yes—
84C23×Dic47C2314yes—
85C23×Dic47C2312yes—
86C23×Dic47C2311yescharacteristic
87C23×Dic47C2312yes—
88C23×Dic47C2311yescharacteristic
89Q8×Dic47C2×C418yescomplemented
90Q8×Dic47C2×C418yescomplemented
91D4×Dic47—28no—
92D4×Dic47C2×C418yes—
93D4×Dic47C2×C418yes—
94D4×Dic47C2×C4116yescomplemented
95D4×Dic47C2×C4116yescomplemented
96#13093983C2×C418yescomplemented
97#13093983C2×C4116yescomplemented
98#13093980—28no—
99C2×C4⋊Dic47C2312yes—
100C2×C4⋊Dic47C2311yescharacteristic
101C2×C4⋊Dic47C2312yes—
102C2×C4⋊Dic47C2312yes—
103C2×C4⋊Dic47C2311yescharacteristic
104C2×Dic47⋊C4C2312yes—
105C2×Dic47⋊C4C2312yes—
106C2×Dic47⋊C4C2314yes—
107C2×Dic47⋊C4C2314yes—
108C2×C22⋊Dic47C2314yes—
109C2×C22⋊Dic47C2312yes—
110C2×C22⋊Dic47C2312yes—
111C2×C22⋊Dic47C2312yes—
112C2×C22⋊Dic47C2312yes—
113C2×C22⋊Dic47C2312yes—
114C2×C4×Dic47—216no—
115C2×C4×Dic47C2×C418yescomplemented
116C2×C4×Dic47C2×C4116yescomplemented
117C2×C4×Dic47C2312yes—
118C2×C4×Dic47C2312yes—
119C2×C4×Dic47C2314yes—
120C2×C4×Dic47C2314yes—
121C2×C4×Dic47C2314yes—
122C2×C4×Dic47C2312yes—
123C2×C4×Dic47C2312yes—
124C2×C4×Dic47C2311yescharacteristic
125C2×C4×Dic47C2311yescharacteristic
126C2×C4×Dic47C2312yes—
127C2×C4×Dic47C2312yes—
128C2×C4×Dic47C2312yes—
129C2×C4×Dic47C2311yescharacteristic
130C2×C4×Dic47C2311yescharacteristic
131C2×C4×Dic47C2312yes—
132C47⋊#95C2311yescharacteristic
133C47⋊#95C2312yes—
134C47⋊#95C2314yes—
135C47⋊#95C2312yes—
136C47⋊#95C2314yes—
137C47⋊#95C2314yes—
138C47⋊#95C2314yes—
139C47⋊#95C2311yescharacteristic
140C47⋊#95C2312yes—
141C47⋊#95C2314yes—
142C47⋊#95C2314yes—
143C47⋊#95C2314yes—
144C47⋊#95C2314yes—
145C47⋊#95C2314yes—
146C2×#41×C47—28no—
147C2×#41×C47C2×C418yes—
148C22×Q8×C47C2311yescharacteristic
149C22×D4×C47C2312yes—
150C22×D4×C47C2311yescharacteristic
151C23×C4×C47C2314yes—
152C23×C4×C47C2312yes—
153C23×C4×C47C2311yescharacteristic
154C4×D4×C47—28no—
155C2×C4⋊C4×C47C2312yes—
156C2×C22⋊C4×C47C2314yes—
157C2×C22⋊C4×C47C2312yes—
158C2×C22⋊C4×C47C2312yes—
159C2×C42×C47C2312yes—
160#95×C47C2311yescharacteristic
161#95×C47C2312yes—
162#95×C47C2314yes—
163#95×C47C2311yescharacteristic
164#95×C47C2314yes—
165C24×C47C2411yescharacteristic
166C24×C47C2412yes—
167#41×C47—232no—
168C2×Q8×C47—24no—
169C2×Q8×C47C22×C414yes—
170C2×D4×C47—28no—
171C2×D4×C47C22×C418yes—
172C2×D4×C47C22×C414yes—
173C2×D4×C47#4118yes—
174C22×C4×C47—28no—
175C22×C4×C47—24no—
176C22×C4×C47—28no—
177C22×C4×C47—28no—
178C22×C4×C47—44no—
179C22×C4×C47C22×C418yes—
180C22×C4×C47C22×C414yes—
181C22×C4×C47C2412yes—
182C22×C4×C47C2414yes—
183C22×C4×C47C2411yescharacteristic
184C22×C4×C47C2412yes—
185C22×C4×C47C2412yes—
186C22×C4×C47C2411yescharacteristic
187C22×Dic47—28no—
188C22×Dic47—24no—
189C22×Dic47—28no—
190C22×Dic47—28no—
191C22×Dic47—41no—
192C22×Dic47—41no—
193C22×Dic47—44no—
194C22×Dic47—42no—
195C22×Dic47—42no—
196C22×Dic47C22×C418yes—
197C22×Dic47C22×C414yes—
198C22×Dic47C22×C418yes—
199C22×Dic47C22×C414yes—
200C22×Dic47C2414yes—
201C22×Dic47C2412yes—
202C22×Dic47C2411yescharacteristic
203C22×Dic47C2412yes—
204C22×Dic47C2411yescharacteristic
205C22×Dic47C2411yescharacteristic
206C22×Dic47C2412yes—
207C22×Dic47C2412yes—
208C22×Dic47C2411yescharacteristic
209C4⋊C4×C47—24no—
210C22⋊C4×C47—28no—
211C22⋊C4×C47—24no—
212C22⋊C4×C47—42no—
213C42×C47—24no—
214C22⋊Dic47—28no—
215C22⋊Dic47—24no—
216C22⋊Dic47—42no—
217C22⋊Dic47C22×C418yes—
218C22⋊Dic47C22×C418yes—
219C22⋊Dic47C22×C418yes—
220C4⋊Dic47—24no—
221C4⋊Dic47C22×C414yes—
222C4⋊Dic47C22×C414yes—
223C4⋊Dic47C22×C418yes—
224C4⋊Dic47C22×C418yes—
225Dic47⋊C4—24no—
226Dic47⋊C4—24no—
227Dic47⋊C4—44no—
228Dic47⋊C4—44no—
229C4×Dic47—28no—
230C4×Dic47—24no—
231C4×Dic47—28no—
232C4×Dic47—28no—
233C4×Dic47—24no—
234C4×Dic47—42no—
235C4×Dic47—42no—
236C4×Dic47C22×C414yes—
237C4×Dic47C22×C418yes—
238C4×Dic47C22×C414yes—
239C4×Dic47C22×C414yes—
240C4×Dic47C22×C414yes—
241C4×Dic47C22×C418yes—
242C4×Dic47C22×C418yes—
243C4×Dic47#4118yescomplemented
244C23×C47—24no—
245C23×C47—22no—
246C23×C47—22no—
247C23×C47—22no—
248C23×C47—22no—
249C23×C47—21no—
250C23×C47—21no—
251C23×C47C23×C412yes—
252C23×C47C23×C414yes—
253C23×C47C2×#4118yes—
254C23×C47C2511yescharacteristic
255Q8×C47—28no—
256D4×C47—216no—
257D4×C47#117116yescomplemented
258C2×C4×C47—216no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—24no—
262C2×C4×C47—22no—
263C2×C4×C47—28no—
264C2×C4×C47—24no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—24no—
268C2×C4×C47—22no—
269C2×C4×C47—24no—
270C2×C4×C47—416no—
271C2×C4×C47C23×C412yes—
272C2×C4×C47C23×C414yes—
273C2×C4×C47C23×C412yes—
274C2×C4×C47C2×#4114yes—
275C2×C4×C47C2×#4114yes—
276C2×Dic47—24no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—21no—
285C2×Dic47—21no—
286C2×Dic47—216no—
287C2×Dic47—28no—
288C2×Dic47—24no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—24no—
292C2×Dic47—22no—
293C2×Dic47—24no—
294C2×Dic47—48no—
295C2×Dic47—44no—
296C2×Dic47—416no—
297C2×Dic47C23×C412yes—
298C2×Dic47C23×C412yes—
299C2×Dic47C23×C414yes—
300C2×Dic47C23×C412yes—
301C2×Dic47C23×C414yes—
302C2×Dic47C23×C412yes—
303C2×Dic47C2×#4114yes—
304C2×Dic47C2×#4114yes—
305#34123—471nomaximal, Sylow
306C22×C47—24no—
307C22×C47—24no—
308C22×C47—28no—
309C22×C47—28no—
310C22×C47—22no—
311C22×C47—22no—
312C22×C47—22no—
313C22×C47—42no—
314C22×C47—42no—
315C22×C47C2×#11718yes—
316C22×C47C24×C411yescharacteristic
317C22×C47C22×#4112yes—
318C22×C47C22×#4112yes—
319C22×C47#58511yescharacteristic
320C22×C47#58511yescharacteristic
321C4×C47—22no—
322C4×C47—24no—
323C4×C47—24no—
324C4×C47—42no—
325C4×C47—44no—
326C4×C47C2×#11714yes—
327Dic47—24no—
328Dic47—22no—
329Dic47—22no—
330Dic47—22no—
331Dic47—24no—
332Dic47—24no—
333Dic47—42no—
334Dic47—44no—
335Dic47C4×#4114yes—
336C2×C4×#41—471no—
337#2356—472no—
338#2353—474no—
339#2349—472no—
340#2346—471no—
341#2346—471no—
342#2343—472no—
343#2343—472no—
344#2339—471no—
345#2339D4711yescharacteristic
346#2295—472no—
347#2290—474no—
348#2283—472no—
349#2283—471no—
350C42×D4—472no—
351C4×#117—471no—
352C2×#376—472no—
353C2×C47—28no—
354C2×C47—42no—
355C2×C47C22×#11711yescharacteristic
356C2×C47C2×C4×#4111yescharacteristic
357C2×C47#342811yescharacteristic
358C2×C47#347512yes—
359C2×C47#347512yes—
360C22×#41C2×D4711yescharacteristic
361C4×#41—4716no—
362C2×C4×Q8—471no—
363C2×C4×Q8—471no—
364C2×C4×D4—471no—
365C2×C4×D4—472no—
366C2×C4×D4—471no—
367C2×C4×D4—472no—
368C2×C4×D4—472no—
369C2×C4×D4C2×D4712yes—
370C2×#117—472no—
371C2×#117—471no—
372C2×#117—472no—
373C22×C42—472no—
374C22×C42—471no—
375C22×C42—474no—
376#391—472no—
377#391C2×D4712yes—
378#389—472no—
379#389—472no—
380#388—474no—
381#388—474no—
382#387—474no—
383#387—474no—
384#387—474no—
385#387—474no—
386#386—474no—
387#386C2×D4714yes—
388#385—474no—
389#385—474no—
390#383—472no—
391#383—474no—
392#382—472no—
393#382—472no—
394#382—472no—
395#381—472no—
396#381—472no—
397#381C2×D4712yes—
398#380—471no—
399#380—474no—
400#380C2×D4711yescharacteristic
401C4×C4⋊C4—472no—
402C4×C4⋊C4—472no—
403C4×C4⋊C4—472no—
404C4×C4⋊C4—472no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—471no—
407C4×C4⋊C4—474no—
408C4×C22⋊C4—471no—
409C4×C22⋊C4—474no—
410C4×C22⋊C4—474no—
411C4×C22⋊C4—472no—
412C4×C22⋊C4—474no—
413C4×C22⋊C4—472no—
414C4×C22⋊C4C2×D4711yescharacteristic
415#376—472no—
416#376—472no—
417#376—474no—
418#376—471no—
419#376—472no—
420#376—474no—
421#376—471no—
422C2×#95—472no—
423C2×#95—474no—
424C2×#95C2×D4712yes—
425C43—472no—
426C47#3412311yescharacteristic, complemented, Sylow
427C2×#41—28no—
428C2×#41C4×D4718yes—
429C22×Q8C22×D4711yescharacteristic
430C22×D4C22×D4712yes—
431C22×D4C22×D4711yescharacteristic
432C23×C4—471no—
433C23×C4—472no—
434C23×C4—472no—
435C23×C4—471no—
436C23×C4—474no—
437C23×C4C22×D4714yes—
438C23×C4C22×D4712yes—
439C23×C4C22×D4711yescharacteristic
440C4×Q8—478no—
441C4×Q8—478no—
442C4×D4—28no—
443C4×D4—478no—
444C4×D4—478no—
445C4×D4—4716no—
446C4×D4—4716no—
447C4×D4—948no—
448#117—4716no—
449#117—478no—
450#117—948no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—472no—
453C2×C4⋊C4—472no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—472no—
456C2×C4⋊C4—472no—
457C2×C4⋊C4—472no—
458C2×C4⋊C4—474no—
459C2×C4⋊C4—474no—
460C2×C4⋊C4C22×D4712yes—
461C2×C22⋊C4—472no—
462C2×C22⋊C4—472no—
463C2×C22⋊C4—472no—
464C2×C22⋊C4—472no—
465C2×C22⋊C4—474no—
466C2×C22⋊C4—472no—
467C2×C22⋊C4C22×D4712yes—
468C2×C22⋊C4C22×D4714yes—
469C2×C22⋊C4C22×D4712yes—
470C2×C42—4716no—
471C2×C42—478no—
472C2×C42—472no—
473C2×C42—471no—
474C2×C42—472no—
475C2×C42—471no—
476C2×C42—472no—
477C2×C42—472no—
478C2×C42—471no—
479C2×C42—471no—
480C2×C42—472no—
481C2×C42—472no—
482C2×C42—474no—
483C2×C42—474no—
484C2×C42—474no—
485C2×C42—472no—
486C2×C42—472no—
487C2×C42—9416no—
488C2×C42C22×D4712yes—
489#95—472no—
490#95—471no—
491#95—474no—
492#95—472no—
493#95—474no—
494#95—474no—
495#95—474no—
496#95—472no—
497#95—471no—
498#95—474no—
499#95—474no—
500#95—474no—
501#95—474no—
502#95—474no—
503#95C22×D4711yescharacteristic
504#95C22×D4712yes—
505#95C22×D4714yes—
506#95C22×D4711yescharacteristic
507#95C22×D4714yes—
508C24C23×D4711yescharacteristic
509C24C23×D4712yes—
510#41—232no—
511C2×Q8—24no—
512C2×Q8C2×C4×D4714yes—
513C2×D4—28no—
514C2×D4C2×C4×D4718yes—
515C2×D4C2×C4×D4714yes—
516C2×D4#1062535218yes—
517C22×C4—28no—
518C22×C4—24no—
519C22×C4—28no—
520C22×C4—28no—
521C22×C4—44no—
522C22×C4—471no—
523C22×C4—474no—
524C22×C4—478no—
525C22×C4—471no—
526C22×C4—472no—
527C22×C4—472no—
528C22×C4—471no—
529C22×C4—471no—
530C22×C4—472no—
531C22×C4—474no—
532C22×C4—478no—
533C22×C4—474no—
534C22×C4—472no—
535C22×C4—948no—
536C22×C4—944no—
537C22×C4—948no—
538C22×C4—948no—
539C22×C4—1881no—
540C22×C4—1882no—
541C22×C4—1881no—
542C22×C4—1884no—
543C22×C4—1882no—
544C22×C4C2×C4×D4718yes—
545C22×C4C2×C4×D4714yes—
546C22×C4C23×D4714yes—
547C22×C4C23×D4712yes—
548C22×C4C23×D4711yescharacteristic
549C22×C4C23×D4712yes—
550C22×C4C23×D4712yes—
551C22×C4C23×D4711yescharacteristic
552C4⋊C4—24no—
553C4⋊C4—478no—
554C4⋊C4—478no—
555C4⋊C4—474no—
556C4⋊C4—474no—
557C4⋊C4—944no—
558C4⋊C4—944no—
559C4⋊C4—944no—
560C4⋊C4—1884no—
561C4⋊C4—1884no—
562C22⋊C4—28no—
563C22⋊C4—24no—
564C22⋊C4—42no—
565C22⋊C4—478no—
566C22⋊C4—478no—
567C22⋊C4—478no—
568C22⋊C4—944no—
569C22⋊C4—948no—
570C22⋊C4—1882no—
571C42—24no—
572C42—474no—
573C42—478no—
574C42—474no—
575C42—478no—
576C42—474no—
577C42—478no—
578C42—474no—
579C42—478no—
580C42—948no—
581C42—948no—
582C42—944no—
583C42—948no—
584C42—944no—
585C42—1882no—
586C42—1882no—
587C23—24no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—21no—
593C23—21no—
594C23C22×C4×D4712yes—
595C23C22×C4×D4714yes—
596C23C2×#1062535218yes—
597C23C24×D4711yescharacteristic
598Q8—28no—
599D4—216no—
600D4#13093980116yescomplemented
601C2×C4—216no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—416no—
614C2×C4—472no—
615C2×C4—474no—
616C2×C4—472no—
617C2×C4—474no—
618C2×C4—472no—
619C2×C4—472no—
620C2×C4—474no—
621C2×C4—474no—
622C2×C4—9416no—
623C2×C4—948no—
624C2×C4—944no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—941no—
628C2×C4—942no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—941no—
634C2×C4—944no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—944no—
638C2×C4—942no—
639C2×C4—944no—
640C2×C4—1888no—
641C2×C4—1884no—
642C2×C4—18816no—
643C2×C4C22×C4×D4712yes—
644C2×C4C22×C4×D4714yes—
645C2×C4C22×C4×D4712yes—
646C2×C4#41×D4714yes—
647C2×C4C2×#1062535214yes—
648C22—24no—
649C22—24no—
650C22—28no—
651C22—28no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—42no—
656C22—42no—
657C22C2×#1309398018yes—
658C22C23×C4×D4711yescharacteristic
659C22C2×#41×D4712yes—
660C22C22×#1062535212yes—
661C22#1568995811yescharacteristic
662C22#1568996011yescharacteristic
663C4—22no—
664C4—24no—
665C4—24no—
666C4—44no—
667C4—42no—
668C4—474no—
669C4—944no—
670C4—942no—
671C4—942no—
672C4—942no—
673C4—944no—
674C4—944no—
675C4—1882no—
676C4—1884no—
677C4C2×#1309398014yes—
678C2—28no—
679C2—42no—
680C2C22×#1309398011yescharacteristic
681C2C4×#41×D4711yescharacteristic
682C2#2025658811yescharacteristic
683C2#2025693912yes—
684C2#2025695112yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2339C2
socle, cosocleC23×C47C25
prime radicalC22×#41×C47C22
hypercenter#2339D47
hypocenterC47#34123
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #20246352C2semidirect
3. #20246326C2semidirect
4. #20246293C2semidirect
5. #20246275C2semidirect
6. #20246271C2semidirect
7. #20246250C2semidirect
8. #20246244C2semidirect
10. #20245863C2semidirect
11. #20245828C2semidirect
12. #20245783C2semidirect
13. #20245779C2semidirect
14. C4×D4×Dic47C2semidirect
15. C4×#13093980C2semidirect
16. C2×#15688968C2semidirect
18. #41×Dic47C4semidirect
89. Q8×Dic47C2×C4semidirect
90. Q8×Dic47C2×C4semidirect
94. D4×Dic47C2×C4semidirect
95. D4×Dic47C2×C4semidirect
96. #13093983C2×C4semidirect
97. #13093983C2×C4semidirect
115. C2×C4×Dic47C2×C4semidirect
116. C2×C4×Dic47C2×C4semidirect
243. C4×Dic47#41semidirect
257. D4×C47#117semidirect
426. C47#34123semidirect
600. D4#13093980semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic472
#202463522
#202463262
#202462932
#202462752
#202462712
#202462502
#202462442
#202462182
#202458632
#202458282
#202457832
#202457792
C4×D4×Dic472
C4×#130939802
C2×#156889682
C47×#23392
#3412347