Finite Group Databasebeta

← #26234731

Subgroups — #26234731

Order 12032.

858 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×#15689243C211yesmaximal, characteristic
2C2×#15689238C211yesmaximal, characteristic
3#20252186C211yesmaximal, characteristic
4#20251953C211yesmaximal, characteristic, complemented
5#20244138C211yesmaximal, characteristic, complemented
6#20244133C211yesmaximal, characteristic, complemented
7#20243663C211yesmaximal, characteristic, complemented
8#20243663C211yesmaximal, characteristic, complemented
9#20243662C211yesmaximal, characteristic, complemented
10#20243662C211yesmaximal, characteristic, complemented
11#20243562C211yesmaximal, characteristic, complemented
12#20243408C211yesmaximal, characteristic, complemented
13#20243405C211yesmaximal, characteristic, complemented
14#20243265C211yesmaximal, characteristic, complemented
15C47×#2906C211yesmaximal, characteristic, complemented
16C2×#13094044C2211yescharacteristic
17C2×#13094030C2211yescharacteristic
18C2×#13094030C2211yescharacteristic
19C4×#10625350C2211yescharacteristic
20#15689243—24no—
21#15689238—24no—
22#15689233C411yescharacteristic, complemented
23#15689233C411yescharacteristic, complemented
24#15689228C411yescharacteristic, complemented
25#15689228C411yescharacteristic, complemented
26#15689223C411yescharacteristic, complemented
27#15689223C411yescharacteristic, complemented
28#15689221C411yescharacteristic, complemented
29#15689221C411yescharacteristic, complemented
30C2×#13093959C2211yescharacteristic
31C2×#13093959C2211yescharacteristic
32C2×#13093959C2211yescharacteristic
33C2×#13093959C2211yescharacteristic
34#15689159C2211yescharacteristic
35#15689149C2211yescharacteristic
36#15689149C2211yescharacteristic
37#15689148—21no—
38#15689148—21no—
39#15689147C2211yescharacteristic
40#15689145—21no—
41C4⋊C8×D47—21no—
42C2×#13093951C2211yescharacteristic
43C2×#13093951C2211yescharacteristic
44C2×#13093950C2211yescharacteristic
45C2×#13093950C2211yescharacteristic
46#15689119C2211yescharacteristic
47#15689117C2211yescharacteristic
48C2×#13093935C2211yescharacteristic
49C2×#13093934C2211yescharacteristic
50C2×C8×Dic47C2211yescharacteristic
51C4×C4⋊Dic47C2211yescharacteristic
52#15688884C2211yescharacteristic
53#15688884C2211yescharacteristic
54#15688882C2211yescharacteristic
55#15688882C2211yescharacteristic
56#15688877C2211yescharacteristic
57#15688877C2211yescharacteristic
58C2×#131×C47C2211yescharacteristic
59C2×#131×C47C2211yescharacteristic
60C4×#41×C47C2211yescharacteristic
61C47×#424—21no—
62C47×#424—21no—
63C47×#424C2211yescharacteristic
64C47×#424C2211yescharacteristic
65C47×#423—21no—
66C47×#423C2211yescharacteristic
67C2×C4⋊C8×C47—21no—
68C2×C4⋊C8×C47C2211yescharacteristic
69C2×#10625350C2311yescharacteristic
70#13094044D414yes—
71#13094044Q814yes—
72C2×#10625337C2×C411yescharacteristic
73C2×#10625335C2×C411yescharacteristic
74C2×#10625336C2×C411yescharacteristic
75C2×#10625334C2×C411yescharacteristic
76#13094030—22no—
77#13094030—22no—
78#13094030—41no—
79#13094030—41no—
80C2×#10625329C2311yescharacteristic
81C2×#10625329C2311yescharacteristic
82C2×#10625324—21no—
83C2×#10625324—21no—
84C22×C47⋊C8C2311yescharacteristic
85C22×C47⋊C8C2311yescharacteristic
86C2×C8×D47—21no—
87C2×C8×D47—21no—
88C4×Dic94C2×C411yescharacteristic
89C4×Dic94C2×C411yescharacteristic
90C4×D188C2×C411yescharacteristic
91C4×D188C2×C411yescharacteristic
92C4×C22⋊D47—21no—
93C4×C22⋊D47—21no—
94#13093983C2311yescharacteristic
95#13093981—21no—
96C2×C4⋊Dic47—21no—
97C2×C4×Dic47C2311yescharacteristic
98C2×C4×Dic47C2311yescharacteristic
99C42×D47—21no—
100#13093959—22no—
101#13093959—22no—
102#13093959—41no—
103#13093959—41no—
104#13093957C2×C411yescharacteristic
105#13093957C2×C411yescharacteristic
106#13093955C2×C411yescharacteristic
107#13093955C2×C411yescharacteristic
108C4⋊(C47⋊C8)—21no—
109C4⋊(C47⋊C8)—21no—
110Dic47⋊C8—21no—
111Dic47⋊C8—21no—
112Dic47⋊C8—21no—
113Dic47⋊C8—21no—
114#13093951—22no—
115#13093951—22no—
116#13093950—22no—
117#13093950—22no—
118#13093948C2×C411yescharacteristic
119#13093948C2×C411yescharacteristic
120#13093947C2×C411yescharacteristic
121#13093947C2×C411yescharacteristic
122#13093945C2×C411yescharacteristic
123#13093945C2×C411yescharacteristic
124#13093944C2×C411yescharacteristic
125#13093944C2×C411yescharacteristic
126#13093935C2×C411yescharacteristic
127#13093935C2×C411yescharacteristic
128#13093935C2×C411yescharacteristic
129#13093935C2×C411yescharacteristic
130#13093934—22no—
131C8×Dic47—22no—
132C47⋊#95—21no—
133C2×#41×C47C2311yescharacteristic
134#131×C47—22no—
135#131×C47—22no—
136#131×C47—41no—
137#131×C47—41no—
138C2×M16×C47—21no—
139C2×M16×C47—21no—
140C2×M16×C47C2311yescharacteristic
141C2×M16×C47C2311yescharacteristic
142C22×C8×C47—21no—
143C22×C8×C47—21no—
144C22×C8×C47C2311yescharacteristic
145C22×C8×C47C2311yescharacteristic
146C4×Q8×C47C2×C411yescharacteristic
147C4×Q8×C47C2×C411yescharacteristic
148C4×D4×C47—21no—
149C4×D4×C47—21no—
150C4×D4×C47C2×C411yescharacteristic
151C4×D4×C47C2×C411yescharacteristic
152#117×C47—21no—
153#117×C47C2311yescharacteristic
154C2×C42×C47—21no—
155C2×C42×C47C2311yescharacteristic
156C4⋊C8×C47—21no—
157C4⋊C8×C47—21no—
158C4⋊C8×C47—21no—
159C4⋊C8×C47—21no—
160C4⋊C8×C47—21no—
161C4⋊C8×C47—21no—
162C4⋊C8×C47D411yescharacteristic
163C4⋊C8×C47D411yescharacteristic
164C4⋊C8×C47D411yescharacteristic
165C4⋊C8×C47D411yescharacteristic
166#41×C47—21no—
167#41×C47—21no—
168#41×C47C2×D412yes—
169#41×C47C2×Q812yes—
170C2×Q8×C47C22×C411yescharacteristic
171C2×D4×C47—21no—
172C2×D4×C47C22×C411yescharacteristic
173C22×C4×C47—21no—
174C22×C4×C47—21no—
175C22×C4×C47—21no—
176C22×C4×C47#4111yescharacteristic
177C22×C4×C47#4111yescharacteristic
178C22×C4×C47C2411yescharacteristic
179C2×C22⋊D47—21no—
180C22×Dic47—21no—
181C22×Dic47—21no—
182#10625350—21no—
183#10625350—21no—
184#10625350C2×D412yes—
185#10625350C2×Q812yes—
186C2×D188C22×C411yescharacteristic
187C2×C4×D47—21no—
188C2×C4×D47—21no—
189C2×C4×D47—21no—
190C2×Dic94C22×C411yescharacteristic
191M16×C47—21no—
192M16×C47—21no—
193M16×C47—21no—
194M16×C47—21no—
195M16×C47—42no—
196M16×C47—42no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47—21no—
203C2×C8×C47—42no—
204C2×C8×C47—42no—
205C2×C8×C47C2×D411yescharacteristic
206C2×C8×C47C2×D411yescharacteristic
207C2×C8×C47C2×D411yescharacteristic
208C2×C8×C47C2×D411yescharacteristic
209C4⋊C4×C47—21no—
210C4⋊C4×C47—21no—
211C4⋊C4×C47C22×C411yescharacteristic
212C4⋊C4×C47C22×C411yescharacteristic
213C22⋊C4×C47—21no—
214C22⋊C4×C47—21no—
215C22⋊C4×C47—21no—
216C42×C47—21no—
217C42×C47—21no—
218C42×C47—21no—
219C42×C47C22×C411yescharacteristic
220C42×C47C22×C411yescharacteristic
221C42×C47C2×D411yescharacteristic
222C42×C47C2×D411yescharacteristic
223C22⋊Dic47—21no—
224#10625337C4⋊C414yescomplemented
225#10625336C4⋊C414yescomplemented
226#10625335C4⋊C414yescomplemented
227#10625334C4⋊C414yescomplemented
228(C2×D47)⋊C4—21no—
229(C2×D47)⋊C4—21no—
230C4⋊Dic47—42no—
231C4⋊Dic47C22×C411yescharacteristic
232C4⋊Dic47C22×C411yescharacteristic
233Dic47⋊C4—21no—
234Dic47⋊C4—21no—
235C4×Dic47—21no—
236C4×Dic47—21no—
237C4×Dic47—21no—
238C4×Dic47—21no—
239C4×Dic47—21no—
240C4×Dic47—21no—
241C4×Dic47—21no—
242#10625329—21no—
243#10625329—21no—
244#10625329—21no—
245#10625329—21no—
246C2×C47⋊C8—21no—
247C2×C47⋊C8—21no—
248C2×C47⋊C8—21no—
249C2×C47⋊C8—21no—
250C2×C47⋊C8C22×C411yescharacteristic
251C2×C47⋊C8C22×C411yescharacteristic
252C2×C47⋊C8C22×C411yescharacteristic
253C2×C47⋊C8C22×C411yescharacteristic
254C2×C47⋊C8C2×D412yes—
255C2×C47⋊C8C2×Q812yes—
256#10625324—42no—
257#10625324—42no—
258C8×D47—42no—
259C8×D47—42no—
260C23×C47—21no—
261C23×C47C2×#4111yescharacteristic
262C22×D47—21no—
263Q8×C47—21no—
264Q8×C47C2×C4⋊C412yes—
265D4×C47—22no—
266D4×C47—22no—
267D4×C47—21no—
268D4×C47C2×C4⋊C412yes—
269C2×C4×C47—21no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—21no—
273C2×C4×C47—21no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—42no—
277C2×C4×C47—81no—
278C2×C4×C47C4×D411yescharacteristic
279C2×C4×C47C4×D411yescharacteristic
280C2×C4×C47C4×D411yescharacteristic
281C2×C4×C47C4×D411yescharacteristic
282C2×C4×C47C23×C411yescharacteristic
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×Q811yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C2×C4×C472−1+411yescharacteristic
288C22⋊D47—22no—
289C22⋊D47—22no—
290C2×Dic47—21no—
291C2×Dic47—22no—
292C2×Dic47—21no—
293C2×Dic47—21no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C2×Dic47—41no—
298C2×Dic47—41no—
299D188—21no—
300D188C2×C4⋊C412yes—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—42no—
304C4×D47—81no—
305Dic94—21no—
306Dic94C2×C4⋊C412yes—
307C8×C47—21no—
308C8×C47—21no—
309C8×C47—21no—
310C8×C47—21no—
311C8×C47—41no—
312C8×C47—41no—
313C47⋊C8—21no—
314C47⋊C8—21no—
315C47⋊C8—41no—
316C47⋊C8—41no—
317C47⋊C8C2×C4⋊C412yes—
318C47⋊C8C2×C4⋊C412yes—
319#22687—471nomaximal, Sylow
320C22×C47—21no—
321C22×C47—21no—
322C22×C47—22no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47C2×C4×D411yescharacteristic
326C22×C47#54711yescharacteristic
327C22×C47#55411yescharacteristic
328C2×D47—22no—
329C2×D47—41no—
330C2×D47—41no—
331C4×C47—22no—
332C4×C47—21no—
333C4×C47—21no—
334C4×C47—21no—
335C4×C47—21no—
336C4×C47—41no—
337C4×C47—41no—
338C4×C47C22×C4⋊C411yescharacteristic
339C4×C47#52011yescharacteristic
340C4×C47D4211yescharacteristic
341C4×C47D4×Q811yescharacteristic
342Dic47—22no—
343Dic47—42no—
344Dic47—41no—
345Dic47—41no—
346Dic47—81no—
347C2×#444—471no—
348C2×#443—471no—
349#2943—471no—
350#2906—471no—
351#2906D4711yescharacteristic, complemented
352#1946—471no—
353#1945—471no—
354#1866—471no—
355#1866—471no—
356#1866—471no—
357#1866—471no—
358#1849—471no—
359#1806—471no—
360#1806—471no—
361#1771—471no—
362C2×C47—21no—
363C2×C47—21no—
364C2×C47—42no—
365C2×C47D4×C4⋊C411yescharacteristic
366C2×C47#295511yescharacteristic
367C2×C47#295611yescharacteristic
368D47—42no—
369C2×#135—471no—
370C2×#131—471no—
371C2×#131—471no—
372C2×#131C2×D4711yescharacteristic
373C2×#131C2×D4711yescharacteristic
374C4×#41—471no—
375C4×#41C2×D4711yescharacteristic
376#444—944no—
377#443—944no—
378#442—471no—
379#442—471no—
380#441—471no—
381#441—471no—
382#440—471no—
383#440—471no—
384#440—471no—
385#440—471no—
386C2×#108—471no—
387C2×#108—471no—
388C2×#108—471no—
389C2×#108—471no—
390#427—471no—
391#424—21no—
392#424—21no—
393#424—471no—
394#424—471no—
395#424—941no—
396#424—941no—
397#424C2×D4711yescharacteristic
398#424C2×D4711yescharacteristic
399#423—21no—
400#423—471no—
401#423—941no—
402#423C2×D4711yescharacteristic
403C2×C4⋊C8—21no—
404C2×C4⋊C8—941no—
405C2×C4⋊C8C2×D4711yescharacteristic
406C2×#104—471no—
407C2×#104—471no—
408C2×#104—471no—
409C2×#104—471no—
410#416—471no—
411#416—471no—
412C2×#97—471no—
413C2×#97—471no—
414C2×C4×C8—471no—
415C4×C4⋊C4—471no—
416#339—471no—
417#339—471no—
418#339—471no—
419#339—471no—
420#336—471no—
421#336—471no—
422C47#2268711yescharacteristic, complemented, Sylow
423C2×#41—471no—
424C2×#41C22×D4711yescharacteristic
425#135—474no—
426#135—474no—
427C2×Q16—471no—
428C2×SD16—471no—
429C2×SD16—471no—
430C2×D8—471no—
431#131—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—942no—
436#131—942no—
437#131—1881no—
438#131—1881no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—471no—
442C2×M16—471no—
443C2×M16—941no—
444C2×M16—941no—
445C2×M16C22×D4711yescharacteristic
446C2×M16C22×D4711yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—471no—
450C22×C8—471no—
451C22×C8—941no—
452C22×C8—941no—
453C22×C8C22×D4711yescharacteristic
454C22×C8C22×D4711yescharacteristic
455C4×Q8—471no—
456C4×Q8—471no—
457C4×Q8C4×D4711yescharacteristic
458C4×Q8C4×D4711yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—471no—
462C4×D4—471no—
463C4×D4—941no—
464C4×D4—941no—
465C4×D4C4×D4711yescharacteristic
466C4×D4C4×D4711yescharacteristic
467#117—21no—
468#117—471no—
469#117—941no—
470#117C22×D4711yescharacteristic
471C2×C4⋊C4—941no—
472C2×C42—21no—
473C2×C42—471no—
474C2×C42—471no—
475C2×C42—941no—
476C2×C42C22×D4711yescharacteristic
477#108—942no—
478#108—942no—
479#108—1881no—
480#108—1881no—
481#107—471no—
482#107—471no—
483#106—471no—
484#106—471no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—941no—
492C4⋊C8—941no—
493C4⋊C8—941no—
494C4⋊C8—941no—
495C4⋊C8—941no—
496C4⋊C8—941no—
497C4⋊C8C22⋊D4711yescharacteristic
498C4⋊C8C22⋊D4711yescharacteristic
499C4⋊C8C22⋊D4711yescharacteristic
500C4⋊C8C22⋊D4711yescharacteristic
501#104—942no—
502#104—942no—
503#104—942no—
504#104—942no—
505#103—471no—
506#103—471no—
507#103—471no—
508#103—471no—
509#102—471no—
510#102—471no—
511#102—471no—
512#102—471no—
513#97—471no—
514#97—471no—
515#97—471no—
516#97—471no—
517#97—942no—
518C4×C8—942no—
519#95—941no—
520#41—21no—
521#41—21no—
522#41—472no—
523#41—472no—
524#41—941no—
525#41—941no—
526#41D4×D4712yes—
527#41Q8×D4712yes—
528C2×Q8—471no—
529C2×Q8C2×C4×D4711yescharacteristic
530C2×D4—21no—
531C2×D4—471no—
532C2×D4—941no—
533C2×D4C2×C4×D4711yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—941no—
538C22×C4—941no—
539C22×C4—941no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4#1062535011yescharacteristic
543C22×C4#1062535011yescharacteristic
544C22×C4C23×D4711yescharacteristic
545Q16—474no—
546SD16—474no—
547SD16—474no—
548D8—474no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—941no—
556M16—941no—
557M16—941no—
558M16—941no—
559M16—1882no—
560M16—1882no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—471no—
570C2×C8—471no—
571C2×C8—472no—
572C2×C8—472no—
573C2×C8—471no—
574C2×C8—471no—
575C2×C8—941no—
576C2×C8—941no—
577C2×C8—941no—
578C2×C8—941no—
579C2×C8—1882no—
580C2×C8—1882no—
581C2×C8C2×C22⋊D4711yescharacteristic
582C2×C8C2×C22⋊D4711yescharacteristic
583C2×C8C2×C22⋊D4711yescharacteristic
584C2×C8C2×C22⋊D4711yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—471no—
588C4⋊C4—471no—
589C4⋊C4—941no—
590C4⋊C4—941no—
591C4⋊C4—1882no—
592C4⋊C4C2×C4×D4711yescharacteristic
593C4⋊C4C2×C4×D4711yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—941no—
598C22⋊C4—941no—
599C22⋊C4—941no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—941no—
604C42—941no—
605C42—941no—
606C42—941no—
607C42—941no—
608C42—941no—
609C42—941no—
610C42C2×C4×D4711yescharacteristic
611C42C2×C4×D4711yescharacteristic
612C42C2×C22⋊D4711yescharacteristic
613C42C2×C22⋊D4711yescharacteristic
614C23—21no—
615C23—941no—
616C23C2×#1062535011yescharacteristic
617Q8—21no—
618Q8—472no—
619Q8—941no—
620Q8C4⋊C4×D4712yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—472no—
625D4—942no—
626D4—942no—
627D4—941no—
628D4C4⋊C4×D4712yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—941no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—941no—
643C2×C4—941no—
644C2×C4—3761no—
645C2×C4—1882no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4C4×C22⋊D4711yescharacteristic
652C2×C4C4×C22⋊D4711yescharacteristic
653C2×C4C4×C22⋊D4711yescharacteristic
654C2×C4C4×C22⋊D4711yescharacteristic
655C2×C4C22×C4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4C22×C22⋊D4711yescharacteristic
658C2×C4C2×Q8×D4711yescharacteristic
659C2×C4#1309406911yescharacteristic
660C2×C4#1309407211yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—472no—
668C8—472no—
669C8—941no—
670C8—941no—
671C8—1881no—
672C8—1881no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—942no—
679C22—1881no—
680C22—1881no—
681C22C2×C4×C22⋊D4711yescharacteristic
682C22#1568977411yescharacteristic
683C22#1568982811yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—942no—
692C4—3761no—
693C4—1882no—
694C4—1881no—
695C4—1881no—
696C4C2×C4⋊C4×D4711yescharacteristic
697C4#1568960411yescharacteristic
698C4D4×C22⋊D4711yescharacteristic
699C4Q8×C22⋊D4711yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—1882no—
704C2C4⋊C4×C22⋊D4711yescharacteristic
705C2#2025228911yescharacteristic
706C2#2025229511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2906C2
socleC22×C47C2×C4×D4
prime radicalC2×#13094044C22
cosocleC22×C4×C47C24
hypercenter#2906D47
hypocenterC47#22687
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #20251953C2semidirect
5. #20244138C2semidirect
6. #20244133C2semidirect
7. #20243663C2semidirect
8. #20243663C2semidirect
9. #20243662C2semidirect
10. #20243662C2semidirect
11. #20243562C2semidirect
12. #20243408C2semidirect
13. #20243405C2semidirect
14. #20243265C2semidirect
15. C47×#2906C2semidirect
22. #15689233C4semidirect
23. #15689233C4semidirect
24. #15689228C4semidirect
25. #15689228C4semidirect
26. #15689223C4semidirect
27. #15689223C4semidirect
28. #15689221C4semidirect
29. #15689221C4semidirect
224. #10625337C4⋊C4semidirect
225. #10625336C4⋊C4semidirect
226. #10625335C4⋊C4semidirect
227. #10625334C4⋊C4semidirect
351. #2906D47semidirect
422. C47#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#156892432
C2×#156892382
#202521862
#202519532
#202441382
#202441332
#202436632
#202436622
#202435622
#202434082
#202434052
#202432652
C47×#29062
#2268747