Finite Group Databasebeta

← #26279229

Subgroups — #26279229

Order 12032.

968 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×#15689403C211yesmaximal, characteristic, complemented
2C2×C4×#10625334C211yesmaximal, characteristic
3#20247238C211yesmaximal, characteristic, complemented
4#20244917C211yesmaximal, characteristic, complemented
5#20244860C211yesmaximal, characteristic, complemented
6#20244773C211yesmaximal, characteristic, complemented
7#20244716C211yesmaximal, characteristic, complemented
8#20244118C211yesmaximal, characteristic, complemented
9#20243947C211yesmaximal, characteristic, complemented
10#20243736C211yesmaximal, characteristic
11#20243736C211yesmaximal, characteristic
12#20243635C211yesmaximal, characteristic, complemented
13#20243635C211yesmaximal, characteristic, complemented
14#20243634C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
16C22×#10625334C2211yescharacteristic
17C2×#13094024C2211yescharacteristic
18C2×#13094002—21no—
19C2×C4×D188C2211yescharacteristic
20#15689403—24no—
21C4×#10625334—24no—
22C2×#13093957C2211yescharacteristic
23C2×#13093957C2211yescharacteristic
24C2×#13093957C2211yescharacteristic
25C2×#13093957C2211yescharacteristic
26C2×#13093957C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×#13093945C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093944C2211yescharacteristic
32C2×#13093944C2211yescharacteristic
33C2×#13093944C2211yescharacteristic
34C2×C4×C47⋊C8C2211yescharacteristic
35#15689045—21no—
36#15689036—21no—
37#15689025C2211yescharacteristic
38#15689025C2211yescharacteristic
39#15689021C2211yescharacteristic
40#15689021C2211yescharacteristic
41#15688997—21no—
42#15688885C2211yescharacteristic
43#15688885C2211yescharacteristic
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688878C2211yescharacteristic
47#15688878C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688878C2211yescharacteristic
50C2×C4×D4×C47C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C22×C4⋊C4×C47—21no—
54C47×#389C2211yescharacteristic
55C47×#389C2211yescharacteristic
56C47×#385—21no—
57C47×#385—21no—
58C47×#384C2211yescharacteristic
59C47×#380—21no—
60C4×C4⋊C4×C47C2211yescharacteristic
61C22×Dic94—21no—
62C22×D188C2311yescharacteristic
63C22×C4×D47—21no—
64C2×#10625334—22no—
65C2×#10625334—22no—
66C2×#10625334Q814yescomplemented
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71#13094024—22no—
72#13094024—41no—
73#13094002—44no—
74C4×D188—22no—
75C4×D188—41no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47C2311yescharacteristic
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×Dic47⋊C4—21no—
81C2×Dic47⋊C4—21no—
82C2×(C2×D47)⋊C4—21no—
83C2×(C2×D47)⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—21no—
86C2×(C2×D47)⋊C4—21no—
87#13093957—22no—
88#13093957—22no—
89#13093957—22no—
90#13093957—22no—
91#13093957—41no—
92C4⋊(C47⋊C8)—22no—
93#13093945—22no—
94#13093945—22no—
95#13093945D414yes—
96#13093944—22no—
97#13093944—22no—
98#13093944—41no—
99C4×C47⋊C8—22no—
100C47⋊#95—21no—
101C47⋊#95—21no—
102C22×D4×C47C2311yescharacteristic
103C23×C4×C47—21no—
104C23×C4×C47—21no—
105C23×C4×C47—21no—
106C4×D4×C47—22no—
107C4×D4×C47—22no—
108C4×D4×C47—22no—
109C4×D4×C47—22no—
110C4×D4×C47—41no—
111C4×D4×C47—41no—
112C2×C4⋊C4×C47—21no—
113C2×C4⋊C4×C47—21no—
114C2×C4⋊C4×C47—21no—
115C2×C4⋊C4×C47—21no—
116C2×C4⋊C4×C47—44no—
117C2×C4⋊C4×C47D411yescharacteristic
118C2×C4⋊C4×C47D411yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C42×C47C2311yescharacteristic
126C2×C42×C47C2311yescharacteristic
127C2×C42×C47C2311yescharacteristic
128#95×C47—21no—
129#95×C47—21no—
130#95×C47D411yescharacteristic
131#95×C47D411yescharacteristic
132C24×C47—21no—
133C23×D47—21no—
134C2×D4×C47—21no—
135C2×D4×C47—21no—
136C2×D4×C47—21no—
137C2×D4×C47C2×D412yes—
138C2×D4×C47C2×Q812yes—
139C2×D4×C47#4112yes—
140C22×C4×C47—24no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—42no—
145C22×C4×C47—42no—
146C22×C4×C47—42no—
147C22×C4×C47—42no—
148C22×C4×C47—42no—
149C22×C4×C47—42no—
150C22×C4×C47—81no—
151C22×C4×C47—81no—
152C22×C4×C47C2×D411yescharacteristic
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2411yescharacteristic
159C22×Dic47—21no—
160C22×Dic47—21no—
161C22×Dic47—21no—
162C2×D188—21no—
163C2×D188—21no—
164C2×D188—21no—
165C2×D188—21no—
166C2×D188—21no—
167C2×D188C2×Q812yes—
168C2×C4×D47—42no—
169C2×C4×D47—42no—
170C2×C4×D47—81no—
171C2×Dic94—42no—
172C2×Dic94—42no—
173C2×Dic94—81no—
174C4⋊C4×C47—21no—
175C4⋊C4×C47—21no—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—41no—
180C4⋊C4×C47—42no—
181C4⋊C4×C47—42no—
182C4⋊C4×C47—42no—
183C4⋊C4×C47—81no—
184C4⋊C4×C47D814yescomplemented
185C4⋊C4×C47#4112yes—
186C22⋊C4×C47—24no—
187C22⋊C4×C47—42no—
188C22⋊C4×C47—42no—
189C42×C47—21no—
190C42×C47—21no—
191C42×C47—21no—
192C42×C47—21no—
193C42×C47—21no—
194C42×C47—21no—
195#10625334—28no—
196(C2×D47)⋊C4—42no—
197(C2×D47)⋊C4—42no—
198(C2×D47)⋊C4—42no—
199(C2×D47)⋊C4—42no—
200(C2×D47)⋊C4—81no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—42no—
207C4⋊Dic47C2×D412yes—
208Dic47⋊C4—42no—
209Dic47⋊C4—42no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8C2×D412yes—
221C2×C47⋊C8C2×Q812yes—
222C23×C47—22no—
223C23×C47—22no—
224C23×C47—22no—
225C23×C47—41no—
226C23×C47—41no—
227C23×C47—41no—
228C23×C47—41no—
229C23×C47C22×D411yescharacteristic
230C22×D47—22no—
231C22×D47—41no—
232C22×D47—41no—
233C22×D47—41no—
234C22×D47—41no—
235C22×D47—41no—
236C22×D47—41no—
237D4×C47—22no—
238D4×C47—22no—
239D4×C47—22no—
240D4×C47C22⋊Q814yescomplemented
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—22no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—48no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—84no—
267C2×C4×C47—84no—
268C2×C4×C47C2×D812yes—
269C2×C4×C47C2×D812yes—
270C2×C4×C47C2×D812yes—
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C22×Q811yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×C4×C47H(5,𝔽2)11yescharacteristic
276C2×C4×C472−1+411yescharacteristic
277C2×Dic47—22no—
278C2×Dic47—41no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286D188—22no—
287D188—22no—
288D188—41no—
289D188—41no—
290C4×D47—84no—
291Dic94—84no—
292C47⋊C8—22no—
293C47⋊C8—22no—
294C47⋊C8—41no—
295C47⋊C8—41no—
296#26368—471nomaximal, Sylow
297C22×C47—24no—
298C22×C47—42no—
299C22×C47—42no—
300C22×C47—42no—
301C22×C47—42no—
302C22×C47—42no—
303C22×C47—42no—
304C22×C47#52511yescharacteristic
305C22×C47D4211yescharacteristic
306C22×C47D4×Q811yescharacteristic
307C22×C47C22×D811yescharacteristic
308C22×C47#57511yescharacteristic
309C22×C47#57611yescharacteristic
310C22×C47#57811yescharacteristic
311C2×D47—42no—
312C2×D47—42no—
313C2×D47—42no—
314C2×D47—81no—
315C2×D47—81no—
316C2×D47—81no—
317C2×D47—81no—
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—22no—
321C4×C47—42no—
322C4×C47—41no—
323C4×C47—41no—
324C4×C47—41no—
325C4×C47—81no—
326C4×C47—81no—
327C4×C47C2×C22⋊Q811yescharacteristic
328C4×C47#53911yescharacteristic
329C4×C47#54711yescharacteristic
330C4×C47#55411yescharacteristic
331Dic47—42no—
332Dic47—81no—
333Dic47—81no—
334C2×#474—471no—
335C2×C4×D8—471no—
336#2452—471no—
337D4×C4⋊C4D4711yescharacteristic, complemented
338#2093—471no—
339#2083—471no—
340#2067—471no—
341#2057—471no—
342#1942—471no—
343#1916—471no—
344#1879—471no—
345#1879—471no—
346#1862—471no—
347#1862—471no—
348#1862—471no—
349C2×C47—44no—
350C2×C47#244911yescharacteristic
351C2×C47#310011yescharacteristic
352C2×C47#312411yescharacteristic
353C2×C47#326911yescharacteristic
354C2×C47D4×D811yescharacteristic
355C2×C47Q8×D811yescharacteristic
356C2×C47#338911yescharacteristic
357D47—82no—
358C22×D8—471no—
359C2×C4⋊Q8—471no—
360C2×C22⋊Q8—941no—
361C2×C4×D4—471no—
362C2×C4×D4C2×D4711yescharacteristic
363C2×C4×D4C2×D4711yescharacteristic
364C2×C4×D4C2×D4711yescharacteristic
365C22×C4⋊C4—21no—
366#474—944no—
367C4×D8—944no—
368C2×#107—471no—
369C2×#107—471no—
370C2×#107—471no—
371C2×#107—471no—
372C2×#107—471no—
373C2×C4⋊C8—471no—
374C2×#102—471no—
375C2×#102—471no—
376C2×#102—471no—
377C2×#102—471no—
378C2×#102—471no—
379C2×#102—471no—
380C2×C4×C8—471no—
381#396—941no—
382#393—941no—
383#390—471no—
384#390—471no—
385#389—471no—
386#389—471no—
387#389C2×D4711yescharacteristic
388#389C2×D4711yescharacteristic
389#385—21no—
390#385—21no—
391#385—941no—
392#384C2×D4711yescharacteristic
393#380—21no—
394C4×C4⋊C4C2×D4711yescharacteristic
395#340—471no—
396#340—471no—
397#340—471no—
398#340—471no—
399#336—471no—
400#336—471no—
401#336—471no—
402#336—471no—
403C47#2636811yescharacteristic, complemented, Sylow
404C22×Q8—941no—
405C22×D4—471no—
406C22×D4C22×D4711yescharacteristic
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—941no—
411C2×D8—474no—
412C2×D8—942no—
413C2×D8—942no—
414C22×C8—471no—
415C22×C8—471no—
416C22×C8—471no—
417C22×C8—471no—
418C4⋊Q8—942no—
419C4⋊Q8—1881no—
420C22⋊Q8—1884no—
421C4×D4—22no—
422C4×D4—22no—
423C4×D4—22no—
424C4×D4—22no—
425C4×D4—41no—
426C4×D4—41no—
427C4×D4—942no—
428C4×D4—1881no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—44no—
434C2×C4⋊C4—471no—
435C2×C4⋊C4—471no—
436C2×C4⋊C4—471no—
437C2×C4⋊C4—941no—
438C2×C4⋊C4—941no—
439C2×C4⋊C4—941no—
440C2×C4⋊C4C22⋊D4711yescharacteristic
441C2×C4⋊C4C22⋊D4711yescharacteristic
442C2×C4⋊C4C22×D4711yescharacteristic
443C2×C4⋊C4C22×D4711yescharacteristic
444C2×C4⋊C4C22×D4711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—941no—
449C2×C22⋊C4—941no—
450C2×C22⋊C4—941no—
451C2×C22⋊C4—941no—
452C2×C22⋊C4—941no—
453C2×C42C22×D4711yescharacteristic
454C2×C42C22×D4711yescharacteristic
455C2×C42C22×D4711yescharacteristic
456#107—942no—
457#107—942no—
458#107—942no—
459#107—942no—
460#107—1881no—
461C4⋊C8—942no—
462#102—474no—
463#102—942no—
464#102—942no—
465#102—942no—
466#102—942no—
467#102—1881no—
468C4×C8—942no—
469#95—21no—
470#95—21no—
471#95—941no—
472#95—941no—
473#95C22⋊D4711yescharacteristic
474#95C22⋊D4711yescharacteristic
475C24—21no—
476C24—941no—
477C2×Q8—3761no—
478C2×Q8—1882no—
479C2×Q8—1882no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—472no—
484C2×D4—941no—
485C2×D4—941no—
486C2×D4—941no—
487C2×D4—941no—
488C2×D4—941no—
489C2×D4#1062535012yes—
490C2×D4D4×D4712yes—
491C2×D4Q8×D4712yes—
492C22×C4—24no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—941no—
505C22×C4—941no—
506C22×C4—941no—
507C22×C4—3761no—
508C22×C4—1882no—
509C22×C4—1882no—
510C22×C4C2×C22⋊D4711yescharacteristic
511C22×C4C2×C22⋊D4711yescharacteristic
512C22×C4C2×C22⋊D4711yescharacteristic
513C22×C4C2×C22⋊D4711yescharacteristic
514C22×C4C2×C22⋊D4711yescharacteristic
515C22×C4C2×C22⋊D4711yescharacteristic
516C22×C4C23×D4711yescharacteristic
517D8—948no—
518C2×C8—472no—
519C2×C8—472no—
520C2×C8—941no—
521C2×C8—941no—
522C2×C8—941no—
523C2×C8—941no—
524C2×C8—941no—
525C2×C8—941no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—41no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—472no—
541C4⋊C4—941no—
542C4⋊C4—941no—
543C4⋊C4—941no—
544C4⋊C4—941no—
545C4⋊C4—941no—
546C4⋊C4—1882no—
547C4⋊C4—1882no—
548C4⋊C4—1882no—
549C4⋊C4#1062533414yescomplemented
550C4⋊C4#1062535012yes—
551C22⋊C4—24no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—3761no—
555C22⋊C4—1882no—
556C22⋊C4—1882no—
557C22⋊C4—1882no—
558C22⋊C4—1882no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—942no—
573C23—1881no—
574C23—1881no—
575C23—1881no—
576C23—1881no—
577C23—1881no—
578C23—1881no—
579C23C22×C22⋊D4711yescharacteristic
580Q8—3764no—
581D4—22no—
582D4—22no—
583D4—22no—
584D4—942no—
585D4—942no—
586D4—1881no—
587D4—1881no—
588D4#1309400214yescomplemented
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—48no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4—84no—
616C2×C4—942no—
617C2×C4—3764no—
618C2×C4—1881no—
619C2×C4—1881no—
620C2×C4—1881no—
621C2×C4—1881no—
622C2×C4—1881no—
623C2×C4—1881no—
624C2×C4—1881no—
625C2×C4—1881no—
626C2×C4C2×#1062533412yes—
627C2×C4C2×#1062533412yes—
628C2×C4C2×#1062533412yes—
629C2×C4C2×D4×D4711yescharacteristic
630C2×C4C2×Q8×D4711yescharacteristic
631C2×C4C2×#1062535011yescharacteristic
632C2×C4C2×#1062535011yescharacteristic
633C2×C4#1309406911yescharacteristic
634C2×C4#1309407211yescharacteristic
635C8—942no—
636C8—942no—
637C8—1881no—
638C8—1881no—
639C22—24no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—3761no—
647C22—3761no—
648C22—3761no—
649C22—3761no—
650C22—1882no—
651C22—1882no—
652C22—1882no—
653C22#1568963411yescharacteristic
654C22D4×C22⋊D4711yescharacteristic
655C22Q8×C22⋊D4711yescharacteristic
656C22C22×#1062533411yescharacteristic
657C22#1568992111yescharacteristic
658C22#1568992611yescharacteristic
659C22#1568993811yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—42no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—81no—
668C4—81no—
669C4—3761no—
670C4—3761no—
671C4—1882no—
672C4C2×#1309400211yescharacteristic
673C4#1568972011yescharacteristic
674C4#1568977411yescharacteristic
675C4#1568982811yescharacteristic
676C2—44no—
677C2—3762no—
678C2#2024719711yescharacteristic
679C2#2025338811yescharacteristic
680C2#2025365011yescharacteristic
681C2#2025493911yescharacteristic
682C2D4×#1062533411yescharacteristic
683C2Q8×#1062533411yescharacteristic
684C2#2025634211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingD4×C4⋊C4×C47C2
socleC23×C47C22×D4
prime radicalC22×#10625334C22
hypercenterD4×C4⋊C4D47
hypocenterC47#26368
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#15689403C2semidirect
3. #20247238C2semidirect
4. #20244917C2semidirect
5. #20244860C2semidirect
6. #20244773C2semidirect
7. #20244716C2semidirect
8. #20244118C2semidirect
9. #20243947C2semidirect
12. #20243635C2semidirect
13. #20243635C2semidirect
14. #20243634C2semidirect
15. D4×C4⋊C4×C47C2semidirect
66. C2×#10625334Q8semidirect
184. C4⋊C4×C47D8semidirect
240. D4×C47C22⋊Q8semidirect
337. D4×C4⋊C4D47semidirect
403. C47#26368semidirect
549. C4⋊C4#10625334semidirect
588. D4#13094002semidirect

Maximal subgroups

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

subgroupindex
C2×#156894032
C2×C4×#106253342
#202472382
#202449172
#202448602
#202447732
#202447162
#202441182
#202439472
#202437362
#202436352
#202436342
D4×C4⋊C4×C472
#2636847