Finite Group Databasebeta

← #26222566

Subgroups — #26222566

Order 12032.

1124 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689335C211yesmaximal, characteristic
2C2×#15689233C211yesmaximal, characteristic
3C2×#15689221C211yesmaximal, characteristic, complemented
4C42×D188C211yesmaximal, characteristic, complemented
5#20244321C211yesmaximal, characteristic, complemented
6#20244154C211yesmaximal, characteristic, complemented
7#20244019C211yesmaximal, characteristic, complemented
8#20244005C211yesmaximal, characteristic, complemented
9#20243739C211yesmaximal, characteristic
10#20243725C211yesmaximal, characteristic, complemented
11#20243395C211yesmaximal, characteristic, complemented
12#20243241C211yesmaximal, characteristic, complemented
13#20243218C211yesmaximal, characteristic, complemented
14#20243213C211yesmaximal, characteristic, complemented
15C4×#124×C47C211yesmaximal, characteristic, complemented
16C22×#10625336C2211yescharacteristic
17C22×#10625334C2211yescharacteristic
18C2×C4×D188C2211yescharacteristic
19C2×C4×D188C2211yescharacteristic
20C2×C4×D188C2211yescharacteristic
21C2×C42×D47—21no—
22#15689335C418yescomplemented
23#15689233—24no—
24#15689221—24no—
25C2×#13093957C2211yescharacteristic
26C2×#13093955C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×C4⋊(C47⋊C8)C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×#13093948C2211yescharacteristic
31C2×#13093948C2211yescharacteristic
32C2×#13093945C2211yescharacteristic
33C2×#13093945C2211yescharacteristic
34C2×#13093945C2211yescharacteristic
35C2×#13093944C2211yescharacteristic
36C2×#13093944C2211yescharacteristic
37C2×#13093935C2211yescharacteristic
38C2×#13093935C2211yescharacteristic
39C4×C4⋊Dic47C2211yescharacteristic
40C4×C4⋊Dic47C2211yescharacteristic
41C4×C4⋊Dic47C2211yescharacteristic
42C4×(C2×D47)⋊C4—21no—
43C4×(C2×D47)⋊C4—21no—
44C4×(C2×D47)⋊C4—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688878C2211yescharacteristic
50#15688878C2211yescharacteristic
51C2×#124×C47C2211yescharacteristic
52C2×C4×Q8×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C47×#391C2211yescharacteristic
55C47×#390C2211yescharacteristic
56C47×#388—21no—
57C47×#388—21no—
58C47×#382C2211yescharacteristic
59C4×C22⋊C4×C47—21no—
60C4×C22⋊C4×C47—21no—
61C43×C47C2211yescharacteristic
62C22×D188C2311yescharacteristic
63C22×C4×D47—21no—
64C22×C4×D47—21no—
65C22×C4×D47—21no—
66C2×#10625336—22no—
67C2×#10625336—22no—
68C2×#10625336C2×C414yescomplemented
69C2×#10625334—22no—
70C2×#10625334—22no—
71C2×#10625334C2×C414yes—
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74C22×C47⋊C8C2311yescharacteristic
75C22×C47⋊C8C2311yescharacteristic
76C4×D188—22no—
77C4×D188—22no—
78C4×D188—22no—
79C4×D188—22no—
80C4×D188C2×C414yescomplemented
81C4×D188D414yes—
82C2×C4⋊Dic47C2311yescharacteristic
83C2×C4⋊Dic47C2311yescharacteristic
84C2×C4⋊Dic47C2311yescharacteristic
85C2×(C2×D47)⋊C4—21no—
86C2×(C2×D47)⋊C4—21no—
87C2×(C2×D47)⋊C4—21no—
88C2×C4×Dic47—21no—
89C2×C4×Dic47—21no—
90C2×C4×Dic47—21no—
91C42×D47—44no—
92#13093957—22no—
93#13093955—22no—
94C4⋊(C47⋊C8)—22no—
95C4⋊(C47⋊C8)C2×C414yescomplemented
96#13093948—22no—
97#13093948—22no—
98#13093948C2×C414yescomplemented
99#13093945—22no—
100#13093945—22no—
101#13093945C2×C414yescomplemented
102#13093944—22no—
103#13093944—22no—
104#13093935—22no—
105#13093935—22no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C47⋊#95—21no—
109C22×Q8×C47C2311yescharacteristic
110C22×D4×C47C2311yescharacteristic
111C23×C4×C47—21no—
112#124×C47—22no—
113#124×C47C2×C414yescomplemented
114C4×Q8×C47—22no—
115C4×Q8×C47—22no—
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C22⋊C4×C47—21no—
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47—21no—
126C2×C42×C47—21no—
127C2×C42×C47D411yescharacteristic
128C2×C42×C47D411yescharacteristic
129C2×C42×C47D411yescharacteristic
130C2×C42×C47D411yescharacteristic
131C2×C42×C47C2311yescharacteristic
132C2×C42×C47C2311yescharacteristic
133C2×C42×C47C2311yescharacteristic
134#95×C47—21no—
135#95×C47—21no—
136#95×C47—21no—
137#95×C47—21no—
138C24×C47—21no—
139C23×D47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47C22×C412yes—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47C22×C412yes—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—42no—
156C22×C4×C47—42no—
157C22×C4×C47—42no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2411yescharacteristic
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C2×D188—21no—
169C2×D188—21no—
170C2×D188—21no—
171C2×D188C22×C412yes—
172C2×D188C2×D412yes—
173C2×D188#4112yes—
174C2×C4×D47—24no—
175C2×C4×D47—24no—
176C2×C4×D47—24no—
177C2×C4×D47—42no—
178C2×C4×D47—42no—
179C2×C4×D47—42no—
180C2×C4×D47—42no—
181C2×C4×D47—42no—
182C2×C4×D47—42no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—42no—
188C22⋊C4×C47—24no—
189C22⋊C4×C47—24no—
190C22⋊C4×C47—42no—
191C22⋊C4×C47—42no—
192C22⋊C4×C47—42no—
193C42×C47—22no—
194C42×C47—21no—
195C42×C47—21no—
196C42×C47—41no—
197C42×C47—41no—
198C42×C47—41no—
199C42×C47—42no—
200C42×C47C22×C412yes—
201C42×C47C2×D412yes—
202C42×C47#4112yes—
203C42×C47#4112yes—
204#10625336—28no—
205#10625334—28no—
206(C2×D47)⋊C4—24no—
207(C2×D47)⋊C4—24no—
208(C2×D47)⋊C4—24no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47C22×C412yes—
213C4⋊Dic47C2×D412yes—
214C4⋊Dic47#4112yes—
215C4×Dic47—42no—
216C4×Dic47—42no—
217C4×Dic47—42no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C2×C47⋊C8—21no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8C22×C412yes—
229C2×C47⋊C8C22×C412yes—
230C23×C47—22no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47C22×D411yescharacteristic
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—41no—
242C22×D47—41no—
243C22×D47—41no—
244C22×D47—41no—
245Q8×C47—22no—
246Q8×C47—22no—
247Q8×C47—41no—
248Q8×C47—41no—
249D4×C47—22no—
250D4×C47—22no—
251D4×C47—41no—
252D4×C47—41no—
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—21no—
262C2×C4×C47—21no—
263C2×C4×C47—22no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—84no—
276C2×C4×C47C4×D412yes—
277C2×C4×C47C4×D412yes—
278C2×C4×C47#12112yes—
279C2×C4×C47#12112yes—
280C2×C4×C47AGL(1,ℤ/8)12yes—
281C2×C4×C47C23×C411yescharacteristic
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×C4×C47C2×#4111yescharacteristic
285C2×C4×C47C2×#4111yescharacteristic
286C2×C4×C47C2×#4111yescharacteristic
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296D188—22no—
297D188—22no—
298D188—22no—
299D188C4×D414yes—
300C4×D47—48no—
301C4×D47—48no—
302C4×D47—48no—
303C47⋊C8—22no—
304C47⋊C8—22no—
305C47⋊C8—41no—
306C47⋊C8—41no—
307#21507—471nomaximal, Sylow
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×#12111yescharacteristic
317C22×C47#52511yescharacteristic
318C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C47#57511yescharacteristic
320C22×C47#57511yescharacteristic
321C22×C47#57511yescharacteristic
322C2×D47—24no—
323C2×D47—42no—
324C2×D47—42no—
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—42no—
329C4×C47—22no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—22no—
334C4×C47—41no—
335C4×C47—42no—
336C4×C47—81no—
337C4×C47—81no—
338C4×C47C2×C4×D411yescharacteristic
339C4×C47C4×#4111yescharacteristic
340C4×C47#52911yescharacteristic
341C4×C47#53211yescharacteristic
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345C2×#463—471no—
346C2×#442—471no—
347C2×#440—471no—
348C4×#124D4711yescharacteristic, complemented
349C42×D4—471no—
350#1983—471no—
351#1949—471no—
352#1927—471no—
353#1925—471no—
354#1879—471no—
355#1877—471no—
356#1804—471no—
357#1767—471no—
358#1763—471no—
359#1762—471no—
360C2×C47—82no—
361C2×C47C4×#12111yescharacteristic
362C2×C47#294311yescharacteristic
363C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C47#303611yescharacteristic
365C2×C47#304011yescharacteristic
366C2×C47#311111yescharacteristic
367C2×C47#311411yescharacteristic
368D47—44no—
369C22×SD16—471no—
370C22×D8—471no—
371C2×#124C2×D4711yescharacteristic
372C2×C4×Q8C2×D4711yescharacteristic
373C2×C4×D4—471no—
374C2×C4×D4—471no—
375C2×C4×D4—471no—
376C2×C4×D4C2×D4711yescharacteristic
377C22×C42—941no—
378#463—478no—
379#442—944no—
380#440—944no—
381C2×#107—471no—
382C2×#106—471no—
383C2×C4⋊C8—471no—
384C2×C4⋊C8—471no—
385C2×#103—471no—
386C2×#103—471no—
387C2×#103—471no—
388C2×#102—471no—
389C2×#102—471no—
390C2×#102—471no—
391C2×#102—471no—
392C2×#102—471no—
393C2×#97—471no—
394C2×#97—471no—
395#391C2×D4711yescharacteristic
396#390C2×D4711yescharacteristic
397#388—21no—
398#388—21no—
399#382C2×D4711yescharacteristic
400C4×C4⋊C4—471no—
401C4×C4⋊C4—471no—
402C4×C4⋊C4—471no—
403C4×C22⋊C4—21no—
404C4×C22⋊C4—21no—
405C4×C22⋊C4—941no—
406C4×C22⋊C4—941no—
407C4×C22⋊C4—941no—
408C43C2×D4711yescharacteristic
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#336—471no—
414#336—471no—
415C47#2150711yescharacteristic, complemented, Sylow
416C22×Q8C22×D4711yescharacteristic
417C22×D4—471no—
418C22×D4C22×D4711yescharacteristic
419C23×C4—21no—
420C23×C4—941no—
421C23×C4—941no—
422C23×C4—941no—
423C2×SD16—474no—
424C2×SD16—942no—
425C2×SD16—942no—
426C2×D8—474no—
427C2×D8—942no—
428C2×D8—942no—
429C22×C8—471no—
430C22×C8—471no—
431C22×C8—471no—
432C22×C8—471no—
433#124—22no—
434#124C4×D4714yescomplemented
435C4×Q8—22no—
436C4×Q8—22no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—474no—
440C4×D4—474no—
441C4×D4—942no—
442C4×D4—942no—
443C4×D4—942no—
444C4×D4—942no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—471no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4C22×D4711yescharacteristic
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4—941no—
459C2×C42—21no—
460C2×C42—941no—
461C2×C42—941no—
462C2×C42—941no—
463C2×C42—1884no—
464C2×C42C22⋊D4711yescharacteristic
465C2×C42C22⋊D4711yescharacteristic
466C2×C42C22⋊D4711yescharacteristic
467C2×C42C22⋊D4711yescharacteristic
468C2×C42C22×D4711yescharacteristic
469C2×C42C22×D4711yescharacteristic
470C2×C42C22×D4711yescharacteristic
471#107—942no—
472#106—942no—
473C4⋊C8—474no—
474C4⋊C8—942no—
475#103—474no—
476#103—942no—
477#103—942no—
478#102—474no—
479#102—942no—
480#102—942no—
481#102—942no—
482#102—942no—
483#97—942no—
484#97—942no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—941no—
490#95—941no—
491#95—941no—
492C24—21no—
493C24—941no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4712yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—472no—
506C2×D4—472no—
507C2×D4—472no—
508C2×D4—941no—
509C2×D4—941no—
510C2×D4—941no—
511C2×D4C2×C4×D4712yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—944no—
519C22×C4—941no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—944no—
523C22×C4—944no—
524C22×C4—1882no—
525C22×C4—1882no—
526C22×C4—1882no—
527C22×C4—1882no—
528C22×C4—1882no—
529C22×C4—1882no—
530C22×C4C2×C22⋊D4711yescharacteristic
531C22×C4C2×C22⋊D4711yescharacteristic
532C22×C4C2×C22⋊D4711yescharacteristic
533C22×C4C2×C22⋊D4711yescharacteristic
534C22×C4C2×C22⋊D4711yescharacteristic
535C22×C4C2×C22⋊D4711yescharacteristic
536C22×C4C23×D4711yescharacteristic
537SD16—948no—
538D8—948no—
539C2×C8—472no—
540C2×C8—472no—
541C2×C8—941no—
542C2×C8—941no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8—941no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4—472no—
557C4⋊C4—472no—
558C4⋊C4—472no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—944no—
568C22⋊C4—944no—
569C22⋊C4—944no—
570C42—22no—
571C42—21no—
572C42—21no—
573C42—41no—
574C42—41no—
575C42—41no—
576C42—42no—
577C42—1882no—
578C42—1882no—
579C42—1882no—
580C42C2×C4×D4712yes—
581C42#1062535012yes—
582C42D4×D4712yes—
583C42#1062535212yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—942no—
592C23—942no—
593C23—942no—
594C23—1881no—
595C23—1881no—
596C23—1881no—
597C23—1881no—
598C23C22×C22⋊D4711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—474no—
608D4—942no—
609D4—942no—
610D4—942no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—1888no—
638C2×C4—1888no—
639C2×C4—1888no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4C4×C22⋊D4712yes—
647C2×C4C4×C22⋊D4712yes—
648C2×C4#1309399512yes—
649C2×C4#1309399512yes—
650C2×C4#1309404912yes—
651C2×C4C22×C4×D4711yescharacteristic
652C2×C4C2×D4×D4711yescharacteristic
653C2×C4#41×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4C2×#1062535211yescharacteristic
656C2×C4C2×#1062535011yescharacteristic
657C8—942no—
658C8—942no—
659C8—1881no—
660C8—1881no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—944no—
669C22—1882no—
670C22—1882no—
671C22—1882no—
672C22—1882no—
673C22—1882no—
674C22—1882no—
675C22C2×C4×C22⋊D4711yescharacteristic
676C22C2×#1309399511yescharacteristic
677C22#1568963011yescharacteristic
678C22C2×#1309404911yescharacteristic
679C22#1568992111yescharacteristic
680C22#1568992111yescharacteristic
681C22#1568992111yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—1882no—
692C4—1882no—
693C4—1882no—
694C4C4×D4×D4711yescharacteristic
695C4C4×#1062535211yescharacteristic
696C4#1568965511yescharacteristic
697C4#1568967011yescharacteristic
698C2—82no—
699C2—1884no—
700C2C4×#1309399511yescharacteristic
701C2#2025218611yescharacteristic
702C2C4×#1309404911yescharacteristic
703C2#2025284811yescharacteristic
704C2#2025287811yescharacteristic
705C2#2025349111yescharacteristic
706C2#2025352211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC4×#124×C47C2
socleC23×C47C22×D4
prime radicalC22×#10625334C22
cosocleC22×C4×C47C24
hypercenterC4×#124D47
hypocenterC47#21507
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C43 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
3. C2×#15689221C2semidirect
4. C42×D188C2semidirect
5. #20244321C2semidirect
6. #20244154C2semidirect
7. #20244019C2semidirect
8. #20244005C2semidirect
10. #20243725C2semidirect
11. #20243395C2semidirect
12. #20243241C2semidirect
13. #20243218C2semidirect
14. #20243213C2semidirect
15. C4×#124×C47C2semidirect
22. #15689335C4semidirect
68. C2×#10625336C2×C4semidirect
80. C4×D188C2×C4semidirect
95. C4⋊(C47⋊C8)C2×C4semidirect
98. #13093948C2×C4semidirect
101. #13093945C2×C4semidirect
113. #124×C47C2×C4semidirect
348. C4×#124D47semidirect
415. C47#21507semidirect
434. #124C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156893352
C2×#156892332
C2×#156892212
C42×D1882
#202443212
#202441542
#202440192
#202440052
#202437392
#202437252
#202433952
#202432412
#202432182
#202432132
C4×#124×C472
#2150747