Finite Group Databasebeta

← #26234609

Subgroups — #26234609

Order 12032.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689233C211yesmaximal, characteristic
2C2×#15689233C211yesmaximal, characteristic
3C2×C4×#10625334C211yesmaximal, characteristic
4#20246299C211yesmaximal, characteristic, complemented
5#20244128C211yesmaximal, characteristic, complemented
6#20244113C211yesmaximal, characteristic, complemented
7#20243649C211yesmaximal, characteristic, complemented
8#20243648C211yesmaximal, characteristic, complemented
9#20243635C211yesmaximal, characteristic, complemented
10#20243634C211yesmaximal, characteristic, complemented
11#20243554C211yesmaximal, characteristic, complemented
12#20243398C211yesmaximal, characteristic, complemented
13#20243385C211yesmaximal, characteristic, complemented
14#20243263C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C47C211yesmaximal, characteristic, complemented
16C22×#10625334C2211yescharacteristic
17C2×C4×D188C2211yescharacteristic
18C2×C4×D188C2211yescharacteristic
19C2×C4×D188C2211yescharacteristic
20#15689233—24no—
21#15689233C418yescomplemented
22C4×#10625334—24no—
23C2×#13093957C2211yescharacteristic
24C2×#13093957C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093955C2211yescharacteristic
27C2×#13093955C2211yescharacteristic
28C2×C4⋊(C47⋊C8)C2211yescharacteristic
29C2×#13093945C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×#13093944C2211yescharacteristic
33C2×#13093944C2211yescharacteristic
34C2×#13093944C2211yescharacteristic
35C2×#13093935C2211yescharacteristic
36C2×#13093935C2211yescharacteristic
37C2×C4×C47⋊C8C2211yescharacteristic
38#15689021C2211yescharacteristic
39#15689021C2211yescharacteristic
40#15688994—21no—
41#15688994—21no—
42#15688989C2211yescharacteristic
43#15688982—21no—
44#95×D47—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688878C2211yescharacteristic
50#15688878C2211yescharacteristic
51C2×C4×D4×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C22×C4⋊C4×C47—21no—
55C47×#389C2211yescharacteristic
56C47×#389C2211yescharacteristic
57C47×#385—21no—
58C47×#385—21no—
59C47×#384C2211yescharacteristic
60C47×#380—21no—
61C4×C4⋊C4×C47C2211yescharacteristic
62C22×D188C2311yescharacteristic
63C22×C4×D47—21no—
64C22×C4×D47—21no—
65C22×C4×D47—21no—
66C2×#10625334C2×C414yes—
67C2×#10625334D414yes—
68C2×#10625334Q814yes—
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C4×D188—22no—
74C4×D188—22no—
75C4×D188—22no—
76C4×D188—41no—
77C4×D188—41no—
78C4×D188C2×C414yescomplemented
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×Dic47⋊C4—21no—
83C2×Dic47⋊C4—21no—
84C2×(C2×D47)⋊C4—21no—
85C2×(C2×D47)⋊C4—21no—
86C2×(C2×D47)⋊C4—21no—
87#13093957—22no—
88#13093957—41no—
89#13093955—22no—
90#13093955—41no—
91#13093955C2×C414yescomplemented
92C4⋊(C47⋊C8)—22no—
93#13093945—22no—
94#13093945—22no—
95#13093945C2×C414yescomplemented
96#13093944—22no—
97#13093944—22no—
98#13093944C2×C414yescomplemented
99#13093935—22no—
100#13093935C2×C414yescomplemented
101C4×C47⋊C8—22no—
102C47⋊#95—21no—
103C47⋊#95—21no—
104C47⋊#95—21no—
105C47⋊#95—21no—
106C22×D4×C47C2311yescharacteristic
107C23×C4×C47—21no—
108C23×C4×C47—21no—
109C23×C4×C47—21no—
110C4×D4×C47—22no—
111C4×D4×C47—22no—
112C4×D4×C47—22no—
113C4×D4×C47—41no—
114C4×D4×C47—41no—
115C4×D4×C47C2×C414yescomplemented
116C2×C4⋊C4×C47—21no—
117C2×C4⋊C4×C47—21no—
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47—44no—
121C2×C4⋊C4×C47D411yescharacteristic
122C2×C4⋊C4×C47D411yescharacteristic
123C2×C4⋊C4×C47C2311yescharacteristic
124C2×C4⋊C4×C47C2311yescharacteristic
125C2×C4⋊C4×C47C2311yescharacteristic
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C22⋊C4×C47—21no—
129C2×C42×C47C2311yescharacteristic
130C2×C42×C47C2311yescharacteristic
131C2×C42×C47C2311yescharacteristic
132#95×C47—21no—
133#95×C47—21no—
134#95×C47D411yescharacteristic
135#95×C47D411yescharacteristic
136C24×C47—21no—
137C23×D47—21no—
138C2×D4×C47—21no—
139C2×D4×C47—21no—
140C2×D4×C47—21no—
141C2×D4×C47C22×C412yes—
142C2×D4×C47C2×D412yes—
143C2×D4×C47C2×Q812yes—
144C22×C4×C47—21no—
145C22×C4×C47—24no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—42no—
149C22×C4×C47—42no—
150C22×C4×C47—42no—
151C22×C4×C47—42no—
152C22×C4×C47—42no—
153C22×C4×C47—42no—
154C22×C4×C47—81no—
155C22×C4×C47—81no—
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2411yescharacteristic
163C22×Dic47—21no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C2×D188—21no—
167C2×D188—21no—
168C2×D188—21no—
169C2×D188C22×C412yes—
170C2×D188C2×D412yes—
171C2×D188C2×Q812yes—
172C2×C4×D47—24no—
173C2×C4×D47—42no—
174C2×C4×D47—42no—
175C2×C4×D47—42no—
176C2×C4×D47—42no—
177C2×C4×D47—81no—
178C2×C4×D47—81no—
179C2×C4×D47—81no—
180C2×C4×D47—81no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—41no—
188C4⋊C4×C47—42no—
189C4⋊C4×C47—42no—
190C4⋊C4×C47—42no—
191C4⋊C4×C47—81no—
192C4⋊C4×C47C22×C412yes—
193C22⋊C4×C47—24no—
194C22⋊C4×C47—42no—
195C22⋊C4×C47—42no—
196C42×C47—21no—
197C42×C47—21no—
198C42×C47—21no—
199C42×C47—21no—
200C42×C47C22×C412yes—
201C42×C47#4112yes—
202#10625334C4⋊C4116yescomplemented
203(C2×D47)⋊C4—24no—
204(C2×D47)⋊C4—42no—
205(C2×D47)⋊C4—42no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47C22×C412yes—
212Dic47⋊C4—81no—
213Dic47⋊C4—81no—
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⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8C22×C412yes—
223C2×C47⋊C8C22×C412yes—
224C2×C47⋊C8C2×D412yes—
225C2×C47⋊C8C2×Q812yes—
226C23×C47—22no—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47C22×D411yescharacteristic
234C22×D47—22no—
235C22×D47—22no—
236C22×D47—22no—
237C22×D47—41no—
238C22×D47—41no—
239C22×D47—41no—
240C22×D47—41no—
241D4×C47—22no—
242D4×C47—22no—
243D4×C47—22no—
244D4×C47C2×C4⋊C414yes—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—48no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—84no—
271C2×C4×C47—84no—
272C2×C4×C47C4×D412yes—
273C2×C4×C47C4×D412yes—
274C2×C4×C47AGL(1,ℤ/8)12yes—
275C2×C4×C47C23×C411yescharacteristic
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C47C22×Q811yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47H(5,𝔽2)11yescharacteristic
280C2×C4×C472−1+411yescharacteristic
281C2×Dic47—22no—
282C2×Dic47—41no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290D188—22no—
291D188—22no—
292D188—22no—
293D188C2×C4⋊C414yescomplemented
294C4×D47—84no—
295C4×D47—84no—
296C4×D47—84no—
297C47⋊C8—22no—
298C47⋊C8—41no—
299C47⋊C8—41no—
300C47⋊C8C2×C4⋊C414yescomplemented
301#22676—471nomaximal, Sylow
302C22×C47—24no—
303C22×C47—42no—
304C22×C47—42no—
305C22×C47—42no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47C2×C4×D411yescharacteristic
310C22×C47D4211yescharacteristic
311C22×C47D4×Q811yescharacteristic
312C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C47#57511yescharacteristic
314C22×C47#57611yescharacteristic
315C22×C47#57711yescharacteristic
316C2×D47—24no—
317C2×D47—42no—
318C2×D47—42no—
319C2×D47—42no—
320C2×D47—42no—
321C2×D47—42no—
322C2×D47—42no—
323C4×C47—22no—
324C4×C47—22no—
325C4×C47—22no—
326C4×C47—42no—
327C4×C47—41no—
328C4×C47—41no—
329C4×C47—41no—
330C4×C47—81no—
331C4×C47—81no—
332C4×C47C22×C4⋊C411yescharacteristic
333C4×C47#52011yescharacteristic
334C4×C47#54711yescharacteristic
335C4×C47#55411yescharacteristic
336Dic47—42no—
337Dic47—81no—
338Dic47—81no—
339C2×#442—471no—
340C2×#442—471no—
341C2×C4×D8—471no—
342#2349—471no—
343D4×C4⋊C4D4711yescharacteristic, complemented
344#1944—471no—
345#1941—471no—
346#1864—471no—
347#1864—471no—
348#1862—471no—
349#1862—471no—
350#1847—471no—
351#1804—471no—
352#1802—471no—
353#1771—471no—
354C2×C47—44no—
355C2×C47D4×C4⋊C411yescharacteristic
356C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C47#294611yescharacteristic
358C2×C47#326411yescharacteristic
359C2×C47#326711yescharacteristic
360C2×C47#338411yescharacteristic
361C2×C47#338911yescharacteristic
362D47—44no—
363C22×D8—471no—
364C2×C4×D4—471no—
365C2×C4×D4—471no—
366C2×C4×D4—471no—
367C2×C4×D4C2×D4711yescharacteristic
368C2×C4×D4C2×D4711yescharacteristic
369C2×C4×D4C2×D4711yescharacteristic
370C22×C4⋊C4—21no—
371#442—478no—
372#442—944no—
373C4×D8—944no—
374C2×#107—471no—
375C2×#107—471no—
376C2×#106—471no—
377C2×#106—471no—
378C2×#106—471no—
379C2×C4⋊C8—471no—
380C2×#102—471no—
381C2×#102—471no—
382C2×#102—471no—
383C2×#102—471no—
384C2×#102—471no—
385C2×#102—471no—
386C2×#97—471no—
387C2×#97—471no—
388C2×C4×C8—471no—
389#389—471no—
390#389—471no—
391#389C2×D4711yescharacteristic
392#389C2×D4711yescharacteristic
393#385—21no—
394#385—21no—
395#385—941no—
396#385—941no—
397#384C2×D4711yescharacteristic
398#382—471no—
399#380—21no—
400#380—941no—
401C4×C4⋊C4C2×D4711yescharacteristic
402C2×#95—941no—
403#340—471no—
404#340—471no—
405#340—471no—
406#340—471no—
407#336—471no—
408#336—471no—
409C47#2267611yescharacteristic, complemented, Sylow
410C22×D4—471no—
411C22×D4C22×D4711yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—941no—
416C23×C4—941no—
417C23×C4—941no—
418C2×D8—474no—
419C2×D8—474no—
420C2×D8—474no—
421C22×C8—471no—
422C22×C8—471no—
423C22×C8—471no—
424C22×C8—471no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—474no—
431C4×D4—942no—
432C4×D4—942no—
433C4×D4—942no—
434C4×D4—1881no—
435C4×D4—1881no—
436C4×D4C4×D4714yescomplemented
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—44no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—471no—
444C2×C4⋊C4—471no—
445C2×C4⋊C4—941no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4C22⋊D4711yescharacteristic
448C2×C4⋊C4C22⋊D4711yescharacteristic
449C2×C4⋊C4C22×D4711yescharacteristic
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C4⋊C4C22×D4711yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C42C22×D4711yescharacteristic
459C2×C42C22×D4711yescharacteristic
460C2×C42C22×D4711yescharacteristic
461#107—942no—
462#107—1881no—
463#106—474no—
464#106—942no—
465#106—1881no—
466C4⋊C8—942no—
467#102—474no—
468#102—474no—
469#102—942no—
470#102—942no—
471#102—942no—
472#102—942no—
473#97—474no—
474#97—942no—
475C4×C8—942no—
476#95—21no—
477#95—21no—
478#95—941no—
479#95—941no—
480#95—941no—
481#95—941no—
482#95C22⋊D4711yescharacteristic
483#95C22⋊D4711yescharacteristic
484C24—21no—
485C24—941no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—472no—
490C2×D4—472no—
491C2×D4—472no—
492C2×D4—941no—
493C2×D4—941no—
494C2×D4—941no—
495C2×D4C2×C4×D4712yes—
496C2×D4D4×D4712yes—
497C2×D4Q8×D4712yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—941no—
511C22×C4—944no—
512C22×C4—941no—
513C22×C4—941no—
514C22×C4—3761no—
515C22×C4—3761no—
516C22×C4—3761no—
517C22×C4—3761no—
518C22×C4—1882no—
519C22×C4—1882no—
520C22×C4—1882no—
521C22×C4—1882no—
522C22×C4C2×C22⋊D4711yescharacteristic
523C22×C4C2×C22⋊D4711yescharacteristic
524C22×C4C2×C22⋊D4711yescharacteristic
525C22×C4C2×C22⋊D4711yescharacteristic
526C22×C4C2×C22⋊D4711yescharacteristic
527C22×C4C2×C22⋊D4711yescharacteristic
528C22×C4C23×D4711yescharacteristic
529D8—4716no—
530C2×C8—472no—
531C2×C8—472no—
532C2×C8—472no—
533C2×C8—472no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8—941no—
537C2×C8—941no—
538C2×C8—941no—
539C2×C8—941no—
540C2×C8—941no—
541C2×C8—941no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—41no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—81no—
553C4⋊C4—472no—
554C4⋊C4—941no—
555C4⋊C4—941no—
556C4⋊C4—941no—
557C4⋊C4—941no—
558C4⋊C4—941no—
559C4⋊C4—3761no—
560C4⋊C4—3761no—
561C4⋊C4C2×C4×D4712yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—944no—
566C22⋊C4—1882no—
567C22⋊C4—1882no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D4712yes—
573C42#1062535012yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—942no—
582C23—942no—
583C23—942no—
584C23—1881no—
585C23—1881no—
586C23—1881no—
587C23—1881no—
588C23C22×C22⋊D4711yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—474no—
593D4—942no—
594D4—942no—
595D4—942no—
596D4C4⋊C4×D4714yes—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—942no—
625C2×C4—3764no—
626C2×C4—3764no—
627C2×C4—3764no—
628C2×C4—1881no—
629C2×C4—1881no—
630C2×C4—1881no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4—1881no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4C4×C22⋊D4712yes—
637C2×C4C4×C22⋊D4712yes—
638C2×C4#1309405012yes—
639C2×C4C22×C4×D4711yescharacteristic
640C2×C4C2×D4×D4711yescharacteristic
641C2×C4C2×Q8×D4711yescharacteristic
642C2×C4C2×#1062535011yescharacteristic
643C2×C4#1309406911yescharacteristic
644C2×C4#1309407211yescharacteristic
645C8—474no—
646C8—942no—
647C8—1881no—
648C8—1881no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—944no—
657C22—1882no—
658C22—1882no—
659C22—1882no—
660C22—1882no—
661C22—1882no—
662C22—1882no—
663C22C2×C4×C22⋊D4711yescharacteristic
664C22D4×C22⋊D4711yescharacteristic
665C22Q8×C22⋊D4711yescharacteristic
666C22C2×#1309405011yescharacteristic
667C22#1568992111yescharacteristic
668C22#1568992611yescharacteristic
669C22#1568993111yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—3761no—
680C4—3761no—
681C4—1882no—
682C4C2×C4⋊C4×D4711yescharacteristic
683C4#1568960411yescharacteristic
684C4#1568977411yescharacteristic
685C4#1568982811yescharacteristic
686C2—44no—
687C2—1884no—
688C2C4⋊C4×C22⋊D4711yescharacteristic
689C2C4×#1309405011yescharacteristic
690C2#2025221611yescharacteristic
691C2#2025486411yescharacteristic
692C2#2025491411yescharacteristic
693C2#2025628311yescharacteristic
694C2#2025634211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingD4×C4⋊C4×C47C2
socleC23×C47C22×D4
prime radicalC22×#10625334C22
cosocleC22×C4×C47C24
hypercenterD4×C4⋊C4D47
hypocenterC47#22676
LCSG ▷ C2×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
4. #20246299C2semidirect
5. #20244128C2semidirect
6. #20244113C2semidirect
7. #20243649C2semidirect
8. #20243648C2semidirect
9. #20243635C2semidirect
10. #20243634C2semidirect
11. #20243554C2semidirect
12. #20243398C2semidirect
13. #20243385C2semidirect
14. #20243263C2semidirect
15. D4×C4⋊C4×C47C2semidirect
21. #15689233C4semidirect
78. C4×D188C2×C4semidirect
91. #13093955C2×C4semidirect
95. #13093945C2×C4semidirect
98. #13093944C2×C4semidirect
100. #13093935C2×C4semidirect
115. C4×D4×C47C2×C4semidirect
202. #10625334C4⋊C4semidirect
293. D188C2×C4⋊C4semidirect
300. C47⋊C8C2×C4⋊C4semidirect
343. D4×C4⋊C4D47semidirect
409. C47#22676semidirect
436. C4×D4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156892332
C2×C4×#106253342
#202462992
#202441282
#202441132
#202436492
#202436482
#202436352
#202436342
#202435542
#202433982
#202433852
#202432632
D4×C4⋊C4×C472
#2267647