Finite Group Databasebeta

← #26232762

Subgroups — #26232762

Order 12032.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20256952C211yesmaximal, characteristic
2M16×D188C211yesmaximal, characteristic, complemented
3C42×D188C211yesmaximal, characteristic, complemented
4#20244365C211yesmaximal, characteristic, complemented
5#20244332C211yesmaximal, characteristic, complemented
6#20243828C212yesmaximal, complemented
7#20243687C212yesmaximal, complemented
8#20243486C212yesmaximal, complemented
9#20243408C211yesmaximal, characteristic, complemented
10#339×D47C212yesmaximal, complemented
11C4×#104×C47C211yesmaximal, characteristic, complemented
12C2×M16×D47C2212yes—
13#15689846C411yescharacteristic, complemented
14#15689838C411yescharacteristic, complemented
15#15689833C411yescharacteristic, complemented
16#15689823C412yescomplemented
17#15689814C412yescomplemented
18#15689813—21no—
19#15689802—22no—
20#15689778C411yescharacteristic, complemented
21#15689769—21no—
22#15689680C2211yescharacteristic
23#15689657—21no—
24#15689651—22no—
25#15689630C2212yes—
26C4×#10625350—21no—
27C2×C4×D188—21no—
28C2×C4×D188C2211yescharacteristic
29#117×D47C2212yes—
30C2×C42×D47C2212yes—
31#15689202—21no—
32#15689196—22no—
33C8×D188—21no—
34#15689147C2211yescharacteristic
35C2×#13093951C2212yes—
36#15689086C2212yes—
37C4×C4⋊Dic47—21no—
38C4×C4⋊Dic47C2211yescharacteristic
39C4×(C2×D47)⋊C4—22no—
40C4×(C2×D47)⋊C4C2212yes—
41#15688884C2212yes—
42#15688884C2212yes—
43#15688883C2212yes—
44#15688883C2212yes—
45#15688882C2212yes—
46C4×#41×C47C2211yescharacteristic
47C2×#104×C47C2211yescharacteristic
48C2×#104×C47C2211yescharacteristic
49C4×M16×C47C2211yescharacteristic
50C43×C47C2211yescharacteristic
51C47×#339C2211yescharacteristic
52C47×#339C2211yescharacteristic
53C2×#10625350—21no—
54C22×D188D411yescharacteristic
55C22×C4×D47—22no—
56C22×C4×D47C2312yes—
57C2×#10625329C2312yes—
58C2×#10625324—22no—
59M16×D47—24no—
60M16×D47—42no—
61C2×C8×D47—22no—
62#13094024C2×C411yescharacteristic, complemented
63#13094024C2×C411yescharacteristic, complemented
64#13094019—22no—
65#13094018—22no—
66#13094017—22no—
67#13094016—21no—
68#13094016C2×C412yescomplemented
69#13094014—22no—
70#13094012—21no—
71#13094010—22no—
72#13094009—22no—
73#13094007—22no—
74#13094006—22no—
75#13094005—22no—
76#13094003—21no—
77#13094003—21no—
78#13094003—21no—
79#13094002—22no—
80#13094000C2×C412yescomplemented
81#13094000C2×C412yescomplemented
82#13093998—21no—
83#13093997—22no—
84#13093995C2×C412yescomplemented
85#13093995C2×C412yescomplemented
86#13093992—22no—
87C4×Dic94—21no—
88C4×Dic94—21no—
89C4×Dic94—21no—
90C4×D188—28no—
91C4×D188—21no—
92C4×D188C2×C411yescharacteristic
93C4×D188C2×C412yes—
94C4×D188C2×C411yescharacteristic
95C4×D188D411yescharacteristic
96C4×D188D412yes—
97C4×D188D411yescharacteristic
98C4×C22⋊D47—22no—
99C4×C22⋊D47—22no—
100C4×C22⋊D47—22no—
101#13093983—21no—
102#13093983C2312yes—
103#13093982C2×C412yescomplemented
104#13093982C2×C412yescomplemented
105#13093981—22no—
106#13093981—22no—
107#13093980—22no—
108C2×C4⋊Dic47—21no—
109C2×C4⋊Dic47D411yescharacteristic
110C4⋊C4×D47C2×C412yescomplemented
111C4⋊C4×D47C2×C412yescomplemented
112C2×(C2×D47)⋊C4—22no—
113C2×(C2×D47)⋊C4D412yes—
114C22⋊C4×D47—22no—
115C2×C4×Dic47—22no—
116C2×C4×Dic47C2312yes—
117C42×D47—22no—
118C42×D47—24no—
119C42×D47—42no—
120C4⋊(C47⋊C8)—21no—
121C4⋊(C47⋊C8)—21no—
122#13093951—42no—
123(C2×D47)⋊C8—22no—
124(C2×D47)⋊C8—22no—
125C47⋊#95—21no—
126C47⋊#95—22no—
127C2×#41×C47C2311yescharacteristic
128C2×M16×C47C2311yescharacteristic
129C2×M16×C47C2311yescharacteristic
130C4×Q8×C47C2×C411yescharacteristic, complemented
131C4×Q8×C47C2×C411yescharacteristic, complemented
132C4×D4×C47—21no—
133C4×D4×C47—21no—
134C4×D4×C47C2×C411yescharacteristic, complemented
135C4×D4×C47C2×C411yescharacteristic, complemented
136#117×C47—21no—
137#117×C47C2311yescharacteristic
138C2×C42×C47—21no—
139C2×C42×C47—21no—
140C2×C42×C47—21no—
141C2×C42×C47C2311yescharacteristic
142C2×C42×C47C2311yescharacteristic
143C2×C42×C47C2311yescharacteristic
144#104×C47—22no—
145#104×C47—22no—
146#97×C47—21no—
147C4×C8×C47—21no—
148C23×D47C2×D412yes—
149#41×C47—21no—
150#41×C47—21no—
151#41×C47—21no—
152#41×C47—21no—
153C2×Q8×C47C22×C411yescharacteristic
154C2×D4×C47—21no—
155C2×D4×C47C22×C411yescharacteristic
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—21no—
160C22×C4×C47—21no—
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2411yescharacteristic
164C2×C22⋊D47—22no—
165C2×C22⋊D47—22no—
166C22×Dic47—22no—
167C22×Dic47C2×D412yes—
168#10625350—44no—
169C2×D188—24no—
170C2×D188C22⋊C412yes—
171C2×D188C22⋊C411yescharacteristic
172C2×D188C22⋊C411yescharacteristic
173C2×C4×D47—22no—
174C2×C4×D47—22no—
175C2×C4×D47—22no—
176C2×C4×D47—22no—
177C2×C4×D47—28no—
178C2×C4×D47—22no—
179C2×C4×D47—22no—
180C2×C4×D47—44no—
181C2×C4×D47—44no—
182C2×C4×D47C22×C412yes—
183C2×C4×D47C22×C412yes—
184C2×C4×D47C2×D412yes—
185C2×C4×D47C2×D412yes—
186C2×Dic94—21no—
187C2×Dic94—21no—
188M16×C47—21no—
189M16×C47—21no—
190M16×C47—21no—
191M16×C47#4112yescomplemented
192C2×C8×C47—21no—
193C2×C8×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47C22×C411yescharacteristic
197C4⋊C4×C47C22×C411yescharacteristic
198C22⋊C4×C47—21no—
199C22⋊C4×C47—21no—
200C22⋊C4×C47—21no—
201C42×C47—24no—
202C42×C47—21no—
203C42×C47—21no—
204C42×C47—21no—
205C42×C47—21no—
206C42×C47—21no—
207C42×C47—21no—
208C42×C47—42no—
209C42×C47C22×C411yescharacteristic
210C42×C47C22×C411yescharacteristic
211C42×C47C2×D411yescharacteristic
212C42×C47C2×D411yescharacteristic
213C42×C47#4112yescomplemented
214C22⋊Dic47—22no—
215C22⋊Dic47—22no—
216C22⋊Dic47—22no—
217(C2×D47)⋊C4—28no—
218(C2×D47)⋊C4—22no—
219(C2×D47)⋊C4—22no—
220(C2×D47)⋊C4—22no—
221(C2×D47)⋊C4—22no—
222(C2×D47)⋊C4C22⋊C412yes—
223(C2×D47)⋊C4C22⋊C412yes—
224(C2×D47)⋊C4C22⋊C412yes—
225(C2×D47)⋊C4C22⋊C412yes—
226C4⋊Dic47—24no—
227C4⋊Dic47—21no—
228C4⋊Dic47—21no—
229C4⋊Dic47C22⋊C411yescharacteristic
230C4⋊Dic47C22⋊C411yescharacteristic
231C4⋊Dic47C22⋊C412yes—
232C4⋊Dic47C22×C412yes—
233C4⋊Dic47C22×C412yes—
234Dic47⋊C4—22no—
235Dic47⋊C4—22no—
236Dic47⋊C4—22no—
237Dic47⋊C4—22no—
238Dic47⋊C4—22no—
239Dic47⋊C4—22no—
240C4×Dic47—22no—
241C4×Dic47—22no—
242C4×Dic47—22no—
243C4×Dic47—22no—
244C4×Dic47—22no—
245C4×Dic47—44no—
246#10625329—22no—
247#10625329—22no—
248C2×C47⋊C8—22no—
249#10625324—44no—
250C8×D47—44no—
251C23×C47—21no—
252C23×C47C22×D411yescharacteristic
253C22×D47—22no—
254C22×D47—22no—
255C22×D47—24no—
256C22×D47—42no—
257C22×D47C2×C22⋊C412yes—
258C22×D47C2×C22⋊C412yes—
259Q8×C47—21no—
260Q8×C47—21no—
261D4×C47—21no—
262D4×C47—21no—
263D4×C47—41no—
264D4×C47—41no—
265C2×C4×C47—22no—
266C2×C4×C47—22no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—21no—
271C2×C4×C47—21no—
272C2×C4×C47—21no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—42no—
279C2×C4×C47—81no—
280C2×C4×C47C2×C22⋊C411yescharacteristic
281C2×C4×C47C2×C22⋊C411yescharacteristic
282C2×C4×C47C2×C22⋊C411yescharacteristic
283C2×C4×C47C2×C22⋊C411yescharacteristic
284C2×C4×C47C23×C411yescharacteristic
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47C2×#4111yescharacteristic
287C2×C4×C47C2×#4111yescharacteristic
288C2×C4×C47H(5,𝔽2)11yescharacteristic
289C2×C4×C472−1+411yescharacteristic
290C22⋊D47—44no—
291C22⋊D47—82no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—24no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47C2×C22⋊C412yes—
300C2×Dic47C2×C22⋊C412yes—
301D188—24no—
302D188—22no—
303D188#10414yescomplemented
304C4×D47—22no—
305C4×D47—22no—
306C4×D47—22no—
307C4×D47—22no—
308C4×D47—22no—
309C4×D47—22no—
310C4×D47—22no—
311C4×D47—22no—
312C4×D47—416no—
313C4×D47—44no—
314C4×D47—82no—
315Dic94—42no—
316Dic94—81no—
317C8×C47—22no—
318C8×C47—41no—
319C47⋊C8—42no—
320#22505—471nomaximal, Sylow
321C22×C47—21no—
322C22×C47—21no—
323C22×C47—41no—
324C22×C47—41no—
325C22×C47—41no—
326C22×C47C22×C22⋊C411yescharacteristic
327C22×C47#54611yescharacteristic
328C22×C47#54711yescharacteristic
329C2×D47—22no—
330C2×D47—22no—
331C2×D47—22no—
332C2×D47—22no—
333C2×D47—22no—
334C2×D47—44no—
335C2×D47—44no—
336C2×D47C2×#10414yes—
337C4×C47—24no—
338C4×C47—21no—
339C4×C47—21no—
340C4×C47—21no—
341C4×C47—42no—
342C4×C47—41no—
343C4×C47—41no—
344C4×C47—41no—
345C4×C47C2×#10412yes—
346C4×C47C4×#4111yescharacteristic
347C4×C47#52011yescharacteristic
348C4×C47#54611yescharacteristic
349C4×C47#54711yescharacteristic
350Dic47—22no—
351Dic47—22no—
352Dic47—44no—
353Dic47—42no—
354Dic47—42no—
355#3475—471no—
356D4×M16—471no—
357C42×D4—471no—
358#1994—471no—
359#1986—471no—
360#1896—472no—
361#1871—472no—
362#1826—472no—
363#1806—471no—
364C4×#104D4711yescharacteristic, complemented
365C2×#339—472no—
366C2×C47—21no—
367C2×C47—21no—
368C2×C47—81no—
369C2×C47#233911yescharacteristic
370C2×C47C22×#10411yescharacteristic
371C2×C47#290111yescharacteristic
372D47—24no—
373D47—42no—
374C22×M16—472no—
375#556—471no—
376#555—471no—
377#554—471no—
378#553—472no—
379#552—472no—
380#552—941no—
381#551—942no—
382#547—471no—
383#546—941no—
384#533—471no—
385#529—941no—
386#529—942no—
387#525—472no—
388C4×#41—941no—
389C4×#41C2×D4711yescharacteristic
390C2×C4×D4—471no—
391C2×C4×D4—941no—
392C2×#117—472no—
393C22×C42—472no—
394#436—941no—
395#435—942no—
396C8×D4—941no—
397#423—471no—
398C2×#104—472no—
399C2×#104C2×D4711yescharacteristic
400C2×#104C2×D4711yescharacteristic
401#407—472no—
402C4×M16C2×D4711yescharacteristic
403C4×C4⋊C4—471no—
404C4×C4⋊C4—941no—
405C4×C22⋊C4—472no—
406C4×C22⋊C4—942no—
407C43C2×D4711yescharacteristic
408#339—472no—
409#339—472no—
410#339—472no—
411#339—472no—
412#339—472no—
413#339C2×D4711yescharacteristic
414#339C2×D4711yescharacteristic
415C47#2250511yescharacteristic, complemented, Sylow
416C2×#41—941no—
417C2×#41C22×D4711yescharacteristic
418C22×D4—471no—
419C23×C4—472no—
420C23×C4—942no—
421C2×M16—472no—
422C2×M16—942no—
423C2×M16—944no—
424C2×M16—1882no—
425C2×M16C22×D4711yescharacteristic
426C2×M16C22×D4711yescharacteristic
427C22×C8—942no—
428C4⋊Q8—471no—
429C4⋊Q8—471no—
430#126—942no—
431#126—942no—
432#126—942no—
433#125—472no—
434#125—941no—
435#125—942no—
436#124—941no—
437#124—942no—
438#123—942no—
439#123—942no—
440#123—942no—
441#123—942no—
442C22⋊Q8—472no—
443C22⋊Q8—472no—
444C22⋊Q8—942no—
445C22⋊Q8—941no—
446C22⋊Q8—941no—
447C22⋊Q8—941no—
448#121—472no—
449#121—472no—
450#121—942no—
451#121—941no—
452#120—942no—
453C4×Q8—941no—
454C4×Q8—941no—
455C4×Q8—941no—
456C4×Q8C4×D4711yescharacteristic, complemented
457C4×Q8C4×D4711yescharacteristic, complemented
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—471no—
461C4×D4—472no—
462C4×D4—471no—
463C4×D4—471no—
464C4×D4—472no—
465C4×D4—471no—
466C4×D4—941no—
467C4×D4—948no—
468C4×D4—942no—
469C4×D4—942no—
470C4×D4—942no—
471C4×D4C4×D4711yescharacteristic, complemented
472C4×D4C4×D4711yescharacteristic, complemented
473#117—21no—
474#117—472no—
475#117—472no—
476#117—472no—
477#117—942no—
478#117—942no—
479#117—942no—
480#117—941no—
481#117C22×D4711yescharacteristic
482C2×C4⋊C4—471no—
483C2×C4⋊C4—472no—
484C2×C4⋊C4—472no—
485C2×C4⋊C4—941no—
486C2×C22⋊C4—472no—
487C2×C22⋊C4—942no—
488C2×C22⋊C4—942no—
489C2×C42—21no—
490C2×C42—21no—
491C2×C42—21no—
492C2×C42—472no—
493C2×C42—942no—
494C2×C42—944no—
495C2×C42—942no—
496C2×C42—1882no—
497C2×C42C22×D4711yescharacteristic
498C2×C42C22×D4711yescharacteristic
499C2×C42C22×D4711yescharacteristic
500C4⋊C8—941no—
501C4⋊C8—941no—
502#104—22no—
503#104—22no—
504#104—1882no—
505C22⋊C8—942no—
506C22⋊C8—942no—
507#97—21no—
508C4×C8—21no—
509#95—942no—
510#95—941no—
511C24—472no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—1884no—
517C2×Q8—941no—
518C2×Q8—941no—
519C2×Q8C2×C4×D4711yescharacteristic
520C2×D4—21no—
521C2×D4—471no—
522C2×D4—472no—
523C2×D4—471no—
524C2×D4—944no—
525C2×D4—942no—
526C2×D4—942no—
527C2×D4C2×C4×D4711yescharacteristic
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—472no—
534C22×C4—472no—
535C22×C4—472no—
536C22×C4—472no—
537C22×C4—472no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—948no—
541C22×C4—942no—
542C22×C4—942no—
543C22×C4—942no—
544C22×C4—942no—
545C22×C4—942no—
546C22×C4—1884no—
547C22×C4—1884no—
548C22×C4D4×D4711yescharacteristic
549C22×C4D4×D4711yescharacteristic
550C22×C4C23×D4711yescharacteristic
551M16—21no—
552M16—21no—
553M16—21no—
554M16—942no—
555M16—942no—
556M16—1884no—
557M16#1062535012yescomplemented
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—942no—
561C2×C8—1884no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—471no—
565C4⋊C4—471no—
566C4⋊C4—472no—
567C4⋊C4—472no—
568C4⋊C4—472no—
569C4⋊C4—942no—
570C4⋊C4—942no—
571C4⋊C4—942no—
572C4⋊C4—942no—
573C4⋊C4—944no—
574C4⋊C4—942no—
575C4⋊C4—942no—
576C4⋊C4—941no—
577C4⋊C4—941no—
578C4⋊C4C2×C4×D4711yescharacteristic
579C4⋊C4C2×C4×D4711yescharacteristic
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—472no—
584C22⋊C4—472no—
585C22⋊C4—472no—
586C22⋊C4—472no—
587C22⋊C4—942no—
588C22⋊C4—942no—
589C22⋊C4—942no—
590C22⋊C4—942no—
591C22⋊C4—948no—
592C22⋊C4—942no—
593C22⋊C4—942no—
594C22⋊C4—942no—
595C42—24no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—21no—
602C42—42no—
603C42—942no—
604C42—942no—
605C42—942no—
606C42—942no—
607C42—942no—
608C42—1884no—
609C42C2×C4×D4711yescharacteristic
610C42C2×C4×D4711yescharacteristic
611C42#1062535012yescomplemented
612C42D4×D4711yescharacteristic
613C42D4×D4711yescharacteristic
614C23—21no—
615C23—472no—
616C23—472no—
617C23—944no—
618C23—942no—
619C23—942no—
620C23—1882no—
621C23C2×D4×D4711yescharacteristic
622Q8—21no—
623Q8—21no—
624Q8—3761no—
625Q8—1882no—
626D4—21no—
627D4—21no—
628D4—41no—
629D4—41no—
630D4—474no—
631D4—944no—
632D4—942no—
633D4—3762no—
634D4—1884no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—81no—
650C2×C4—472no—
651C2×C4—472no—
652C2×C4—942no—
653C2×C4—942no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—942no—
657C2×C4—942no—
658C2×C4—942no—
659C2×C4—942no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—944no—
663C2×C4—942no—
664C2×C4—942no—
665C2×C4—3762no—
666C2×C4—18816no—
667C2×C4—1884no—
668C2×C4—1882no—
669C2×C4—1882no—
670C2×C4C22⋊C4×D4711yescharacteristic
671C2×C4C22⋊C4×D4711yescharacteristic
672C2×C4C22⋊C4×D4711yescharacteristic
673C2×C4C22⋊C4×D4711yescharacteristic
674C2×C4C22×C4×D4711yescharacteristic
675C2×C4C2×D4×D4711yescharacteristic
676C2×C4C2×#1062535011yescharacteristic
677C2×C4C2×#1062535011yescharacteristic
678C2×C4#1309407011yescharacteristic
679C2×C4#1309407111yescharacteristic
680C8—22no—
681C8—41no—
682C8—1882no—
683C22—21no—
684C22—21no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—474no—
689C22—942no—
690C22—942no—
691C22—942no—
692C22—942no—
693C22—942no—
694C22—1884no—
695C22—1884no—
696C22C2×C22⋊C4×D4711yescharacteristic
697C22#1568976911yescharacteristic
698C22#1568977811yescharacteristic
699C4—24no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4—942no—
708C4—942no—
709C4—1884no—
710C4—1882no—
711C4—1882no—
712C4#104×D4712yes—
713C4C4×#1062535011yescharacteristic
714C4#1568960311yescharacteristic
715C4#1568976911yescharacteristic
716C4#1568977811yescharacteristic
717C2—21no—
718C2—21no—
719C2—81no—
720C2—944no—
721C2—1882no—
722C2#2024621911yescharacteristic
723C2C2×#104×D4711yescharacteristic
724C2#2025193211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC4×#104×C47C2
socleC22×C47C22×C22⋊C4
prime radical#20256952C2
cosocleC22×C4×C47C24
hypercenterC4×#104D47
hypocenterC47#22505
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#104

Complements

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

NH ≅ G/Ntype
2. M16×D188C2semidirect
3. C42×D188C2semidirect
4. #20244365C2semidirect
5. #20244332C2semidirect
6. #20243828C2semidirect
7. #20243687C2semidirect
8. #20243486C2semidirect
9. #20243408C2semidirect
10. #339×D47C2semidirect
11. C4×#104×C47C2semidirect
13. #15689846C4semidirect
14. #15689838C4semidirect
15. #15689833C4semidirect
16. #15689823C4semidirect
17. #15689814C4semidirect
20. #15689778C4semidirect
62. #13094024C2×C4semidirect
63. #13094024C2×C4semidirect
68. #13094016C2×C4semidirect
80. #13094000C2×C4semidirect
81. #13094000C2×C4semidirect
84. #13093995C2×C4semidirect
85. #13093995C2×C4semidirect
103. #13093982C2×C4semidirect
104. #13093982C2×C4semidirect
110. C4⋊C4×D47C2×C4semidirect
111. C4⋊C4×D47C2×C4semidirect
130. C4×Q8×C47C2×C4semidirect
131. C4×Q8×C47C2×C4semidirect
134. C4×D4×C47C2×C4semidirect
135. C4×D4×C47C2×C4semidirect
191. M16×C47#41semidirect
213. C42×C47#41semidirect
303. D188#104semidirect
364. C4×#104D47semidirect
415. C47#22505semidirect
456. C4×Q8C4×D47semidirect
457. C4×Q8C4×D47semidirect
471. C4×D4C4×D47semidirect
472. C4×D4C4×D47semidirect
557. M16#10625350semidirect
611. C42#10625350semidirect

Maximal subgroups

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

subgroupindex
#202569522
M16×D1882
C42×D1882
#202443652
#202443322
#202438282
#202436872
#202434862
#202434082
#339×D472
C4×#104×C472
#2250547