Finite Group Databasebeta

← #26217427

Subgroups — #26217427

Order 12032.

2230 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D47C211yesmaximal, characteristic, complemented
2C22×C4×D188C211yesmaximal, characteristic
3C2×#15689086C211yesmaximal, characteristic, complemented
4C2×#15689086C211yesmaximal, characteristic, complemented
5C2×#15689086C211yesmaximal, characteristic, complemented
6#20243684C214yesmaximal, complemented
7#20243679C214yesmaximal, complemented
8#20243082C211yesmaximal, characteristic, complemented
9C47×#1728C211yesmaximal, characteristic, complemented
10C23×D188C411yescharacteristic
11C23×C4×D47C2211yescharacteristic
12C23×C4×D47C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14C22×#10625329C2211yescharacteristic
15C22×#10625324C2212yescomplemented
16C2×M16×D47—24no—
17C2×M16×D47—24no—
18C2×M16×D47—24no—
19C22×C8×D47C2212yescomplemented
20C2×C4×D188—24no—
21C2×C4×D188—24no—
22C2×C4×D188C412yes—
23C2×C4×D188C412yes—
24C2×C4×D188C2212yes—
25C2×C4×D188C2212yes—
26C22×C4⋊Dic47C411yescharacteristic
27C22×(C2×D47)⋊C4C411yescharacteristic
28C22×(C2×D47)⋊C4C411yescharacteristic
29#15689086—24no—
30#15689086—24no—
31#15689086—24no—
32C2×(C2×D47)⋊C8C2212yescomplemented
33C2×(C2×D47)⋊C8C2214yescomplemented
34C2×(C2×D47)⋊C8C2214yescomplemented
35C2×(C2×D47)⋊C8C2212yescomplemented
36#15688878C2214yescomplemented
37C22×M16×C47C2211yescharacteristic
38C22×M16×C47C2211yescharacteristic
39C22×C42×C47C2211yescharacteristic
40C47×#336C2214yescomplemented
41C24×D47C2×C411yescharacteristic
42C24×D47C2×C411yescharacteristic
43C22×D188—24no—
44C22×D188—28no—
45C22×D188C2×C412yes—
46C22×D188C2×C412yes—
47C23×Dic47C2×C411yescharacteristic
48C23×Dic47C2×C411yescharacteristic
49C22×C4×D47—22no—
50C22×C4×D47—22no—
51C22×C4×D47—22no—
52C22×C4×D47—22no—
53C22×C4×D47—22no—
54C22×C4×D47—22no—
55C22×C4×D47—22no—
56C22×C4×D47—22no—
57C22×C4×D47—22no—
58C22×C4×D47—22no—
59C22×C4×D47C2×C412yes—
60C22×C4×D47C2×C411yescharacteristic
61C22×C4×D47C2×C411yescharacteristic
62C22×C4×D47D414yes—
63C22×C4×D47D414yes—
64C22×C4×D47C2312yes—
65C22×C4×D47C2311yescharacteristic
66C22×C4×D47C2311yescharacteristic
67C2×#10625329—22no—
68C2×#10625329—22no—
69C2×#10625329—22no—
70C2×#10625329—22no—
71C2×#10625329—22no—
72C2×#10625329D414yescomplemented
73C2×#10625324—24no—
74C2×#10625324—24no—
75C2×#10625324—24no—
76M16×D47—232no—
77C22×C47⋊C8C2312yes—
78C22×C47⋊C8C2312yes—
79C2×C8×D47—24no—
80C2×C8×D47—24no—
81C2×C8×D47—24no—
82C4×D188—28no—
83C4×D188—28no—
84C4×D188—24no—
85C4×D188—24no—
86C4×D188—24no—
87C4×D188—24no—
88C2×C4⋊Dic47—24no—
89C2×C4⋊Dic47C2×C412yes—
90C2×C4⋊Dic47C2×C412yes—
91C2×(C2×D47)⋊C4—24no—
92C2×(C2×D47)⋊C4—24no—
93C2×(C2×D47)⋊C4C2×C412yes—
94C2×(C2×D47)⋊C4C2×C412yes—
95C2×(C2×D47)⋊C4C2×C412yes—
96C2×(C2×D47)⋊C4C2×C412yes—
97(C2×D47)⋊C8—24no—
98(C2×D47)⋊C8—24no—
99(C2×D47)⋊C8—28no—
100(C2×D47)⋊C8—28no—
101C23×C4×C47C2×C411yescharacteristic
102C23×C4×C47C2×C411yescharacteristic
103C23×C4×C47C2311yescharacteristic
104C2×M16×C47—22no—
105C2×M16×C47—22no—
106C2×M16×C47—22no—
107C2×M16×C47—22no—
108C2×M16×C47—22no—
109C2×M16×C47D414yescomplemented
110C22×C8×C47C2312yes—
111C22×C8×C47C2312yes—
112C2×C42×C47—22no—
113C2×C42×C47—22no—
114C2×C42×C47C2×C412yes—
115C2×C42×C47C2312yes—
116C24×C47C22×C411yescharacteristic
117C23×D47—22no—
118C23×D47—22no—
119C23×D47—22no—
120C23×D47—24no—
121C23×D47—24no—
122C23×D47—22no—
123C23×D47—22no—
124C23×D47—42no—
125C23×D47—42no—
126C23×D47C22⋊C414yes—
127C23×D47C22×C411yescharacteristic
128C23×D47C22×C412yes—
129C23×D47C22×C411yescharacteristic
130C22×C4×C47—22no—
131C22×C4×C47—24no—
132C22×C4×C47—22no—
133C22×C4×C47—42no—
134C22×C4×C47C22×C412yes—
135C22×C4×C47C22×C412yes—
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C2×D412yes—
138C22×C4×C47C2×D412yes—
139C22×C4×C47C2×D412yes—
140C22×C4×C47C2×D412yes—
141C22×C4×C47#4112yes—
142C22×C4×C47#4112yes—
143C22×C4×C47C2411yescharacteristic
144C22×Dic47—22no—
145C22×Dic47—22no—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—22no—
149C22×Dic47C22⋊C414yes—
150C22×Dic47C22×C412yes—
151C22×Dic47C22×C411yescharacteristic
152C22×Dic47C22×C411yescharacteristic
153C2×D188—232no—
154C2×D188—24no—
155C2×D188—24no—
156C2×D188—24no—
157C2×D188—24no—
158C2×D188—24no—
159C2×D188M1618yescomplemented
160C2×C4×D47—22no—
161C2×C4×D47—22no—
162C2×C4×D47—22no—
163C2×C4×D47—22no—
164C2×C4×D47—28no—
165C2×C4×D47—28no—
166C2×C4×D47—28no—
167C2×C4×D47—28no—
168C2×C4×D47—21no—
169C2×C4×D47—21no—
170C2×C4×D47—21no—
171C2×C4×D47—21no—
172C2×C4×D47—21no—
173C2×C4×D47—21no—
174C2×C4×D47—21no—
175C2×C4×D47—21no—
176C2×C4×D47—24no—
177C2×C4×D47—24no—
178C2×C4×D47—24no—
179C2×C4×D47—22no—
180C2×C4×D47—22no—
181C2×C4×D47—22no—
182C2×C4×D47—22no—
183C2×C4×D47—22no—
184C2×C4×D47—22no—
185C2×C4×D47—44no—
186C2×C4×D47—44no—
187C2×C4×D47—44no—
188C2×C4×D47—44no—
189C2×C4×D47C22⋊C414yes—
190C2×C4×D47C22⋊C414yes—
191C2×C4×D47C2×D412yes—
192C2×C4×D47C2×D412yes—
193C2×C4×D47C2×D412yes—
194C2×C4×D47C2×D412yes—
195M16×C47—28no—
196M16×C47—44no—
197C2×C8×C47—22no—
198C2×C8×C47—22no—
199C2×C8×C47—22no—
200C2×C8×C47—22no—
201C2×C8×C47—22no—
202C2×C8×C47C2×D414yescomplemented
203C42×C47—24no—
204C42×C47—22no—
205C42×C47—22no—
206(C2×D47)⋊C4—24no—
207(C2×D47)⋊C4—24no—
208(C2×D47)⋊C4—24no—
209(C2×D47)⋊C4—24no—
210C4⋊Dic47—24no—
211C4⋊Dic47—24no—
212#10625329—28no—
213#10625329—44no—
214C2×C47⋊C8—22no—
215C2×C47⋊C8—22no—
216C2×C47⋊C8—22no—
217C2×C47⋊C8—22no—
218C2×C47⋊C8—22no—
219C2×C47⋊C8C2×D414yescomplemented
220#10625324—216no—
221C8×D47—216no—
222C23×C47—22no—
223C23×C47—22no—
224C23×C47C2×C22⋊C412yes—
225C23×C47C4×D412yes—
226C23×C47C4×D412yes—
227C23×C47C23×C411yescharacteristic
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—22no—
231C22×D47—28no—
232C22×D47—22no—
233C22×D47—22no—
234C22×D47—21no—
235C22×D47—22no—
236C22×D47—21no—
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—28no—
243C22×D47—28no—
244C22×D47—44no—
245C22×D47—48no—
246C22×D47—48no—
247C22×D47—48no—
248C22×D47—48no—
249C22×D47—44no—
250C22×D47—44no—
251C22×D47C2×C22⋊C412yes—
252C22×D47C2×C22⋊C412yes—
253C22×D47C2×M1614yes—
254C22×D47C2×M1614yescomplemented
255C2×C4×C47—28no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—24no—
260C2×C4×C47—44no—
261C2×C4×C47C2×C22⋊C412yes—
262C2×C4×C47C4×D412yes—
263C2×C4×C47C4×D412yes—
264C2×C4×C47#12014yes—
265C2×C4×C47#12114yes—
266C2×C4×C47#12114yes—
267C2×C4×C47#12314yes—
268C2×C4×C47C2×M1614yescomplemented
269C2×C4×C47C22×D411yescharacteristic
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C22×D411yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×Dic47—21no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—28no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—44no—
284C2×Dic47C2×C22⋊C412yes—
285C2×Dic47C2×C22⋊C412yes—
286D188—216no—
287D188—216no—
288C4×D47—22no—
289C4×D47—22no—
290C4×D47—22no—
291C4×D47—22no—
292C4×D47—22no—
293C4×D47—22no—
294C4×D47—22no—
295C4×D47—22no—
296C4×D47—28no—
297C4×D47—28no—
298C4×D47—42no—
299C4×D47—42no—
300C4×D47—42no—
301C4×D47—42no—
302C4×D47—48no—
303C8×C47—24no—
304C8×C47—42no—
305C47⋊C8—24no—
306C47⋊C8—42no—
307#20898—471nomaximal, Sylow
308C22×C47—22no—
309C22×C47—22no—
310C22×C47—24no—
311C22×C47—24no—
312C22×C47#38614yes—
313C22×C47C22×C22⋊C411yescharacteristic
314C22×C47C2×C4×D411yescharacteristic
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C22×M1612yes—
317C22×C47#56812yes—
318C2×D47—22no—
319C2×D47—24no—
320C2×D47—24no—
321C2×D47—22no—
322C2×D47—22no—
323C2×D47—24no—
324C2×D47—22no—
325C2×D47—24no—
326C2×D47—24no—
327C2×D47—22no—
328C2×D47—416no—
329C2×D47—416no—
330C2×D47—42no—
331C2×D47—42no—
332C2×D47—42no—
333C2×D47—42no—
334C2×D47—42no—
335C2×D47—42no—
336C2×D47#40714yescomplemented
337C4×C47—24no—
338C4×C47—42no—
339C4×C47#38614yes—
340C4×C47C2×#12011yescharacteristic
341C4×C47C2×#12111yescharacteristic
342C4×C47C2×#12111yescharacteristic
343C4×C47C2×#12311yescharacteristic
344Dic47—22no—
345Dic47—22no—
346Dic47—42no—
347C23×M16—471no—
348C22×C4×D4—471no—
349C2×#407—471no—
350C2×#407—471no—
351C2×#407—471no—
352#1870—474no—
353#1869—474no—
354#1728—471no—
355#1728D4711yescharacteristic, complemented
356C2×C47—24no—
357C2×C47C2×#38611yescharacteristic
358C2×C47C2×#40711yescharacteristic
359C2×C47#287911yescharacteristic
360C2×C47D4×M1612yes—
361C2×C47D4×M1612yes—
362D47—24no—
363D47—42no—
364D47—44no—
365C23×D4—471no—
366C24×C4—471no—
367C24×C4—471no—
368C22×M16—471no—
369C22×M16—471no—
370C22×M16—472no—
371C22×M16—944no—
372C22×M16—944no—
373C22×M16—944no—
374C22×M16C2×D4711yescharacteristic
375C22×M16C2×D4711yescharacteristic
376C23×C8—472no—
377C2×C4×D4—472no—
378C2×C4×D4—472no—
379C2×C4×D4—472no—
380C2×C4×D4—472no—
381C2×C4×D4—944no—
382C2×C4×D4—944no—
383C22×C4⋊C4—471no—
384C22×C22⋊C4—471no—
385C22×C22⋊C4—471no—
386C22×C42C2×D4711yescharacteristic
387#407—944no—
388#407—944no—
389#407—944no—
390C2×C22⋊C8—472no—
391C2×C22⋊C8—474no—
392C2×C22⋊C8—474no—
393C2×C22⋊C8—472no—
394#336—474no—
395#336C2×D4714yescomplemented
396C47#2089811yescharacteristic, complemented, Sylow
397C25—471no—
398C25—471no—
399C22×D4—472no—
400C22×D4—472no—
401C22×D4—948no—
402C22×D4—944no—
403C23×C4—471no—
404C23×C4—471no—
405C23×C4—471no—
406C23×C4—474no—
407C23×C4—474no—
408C23×C4—471no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4—472no—
412C23×C4—472no—
413C23×C4—942no—
414C23×C4—942no—
415C23×C4—942no—
416C23×C4—942no—
417C23×C4—942no—
418C23×C4—942no—
419C23×C4—942no—
420C23×C4—942no—
421C23×C4—942no—
422C23×C4—942no—
423C23×C4C4×D4711yescharacteristic
424C23×C4C4×D4711yescharacteristic
425C23×C4C22×D4711yescharacteristic
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—22no—
431C2×M16—474no—
432C2×M16—944no—
433C2×M16—944no—
434C2×M16—9432no—
435C2×M16—942no—
436C2×M16—942no—
437C2×M16—942no—
438C2×M16—942no—
439C2×M16—942no—
440C2×M16—944no—
441C2×M16D18814yescomplemented
442C22×C8—472no—
443C22×C8—472no—
444C22×C8—944no—
445C22×C8—944no—
446C22×C8—944no—
447C22×C8C22×D4712yes—
448C22×C8C22×D4712yes—
449C4×D4—948no—
450C4×D4—948no—
451C4×D4—944no—
452C4×D4—944no—
453C4×D4—944no—
454C4×D4—944no—
455C2×C4⋊C4—472no—
456C2×C4⋊C4—472no—
457C2×C4⋊C4—944no—
458C2×C22⋊C4—472no—
459C2×C22⋊C4—472no—
460C2×C22⋊C4—472no—
461C2×C22⋊C4—472no—
462C2×C22⋊C4—944no—
463C2×C22⋊C4—944no—
464C2×C42—22no—
465C2×C42—22no—
466C2×C42C4×D4712yes—
467C2×C42C22×D4712yes—
468C22⋊C8—948no—
469C22⋊C8—944no—
470C22⋊C8—944no—
471C22⋊C8—948no—
472C24—471no—
473C24—471no—
474C24—472no—
475C24—474no—
476C24—944no—
477C24—944no—
478C24—942no—
479C24—942no—
480C24—942no—
481C24—942no—
482C24—942no—
483C24—1882no—
484C24—1882no—
485C24C2×C4×D4711yescharacteristic
486C2×D4—478no—
487C2×D4—944no—
488C2×D4—944no—
489C2×D4—944no—
490C2×D4—944no—
491C2×D4—9432no—
492C2×D4—944no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—42no—
497C22×C4—474no—
498C22×C4—471no—
499C22×C4—471no—
500C22×C4—474no—
501C22×C4—474no—
502C22×C4—472no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—472no—
506C22×C4—472no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—942no—
510C22×C4—942no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—948no—
514C22×C4—948no—
515C22×C4—948no—
516C22×C4—948no—
517C22×C4—941no—
518C22×C4—941no—
519C22×C4—941no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—944no—
529C22×C4—944no—
530C22×C4—944no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—1884no—
538C22×C4—1884no—
539C22×C4—1884no—
540C22×C4—1884no—
541C22×C4C2×C4×D4712yes—
542C22×C4C2×C4×D4712yes—
543C22×C4C2×C4×D4711yescharacteristic
544C22×C4C2×D18812yes—
545C22×C4#1062535012yes—
546C22×C4D4×D4712yes—
547C22×C4D4×D4712yes—
548C22×C4D4×D4712yes—
549C22×C4#1062535412yes—
550C22×C4C23×D4711yescharacteristic
551M16—28no—
552M16—44no—
553M16—9416no—
554M16—948no—
555M16—1884no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—474no—
562C2×C8—9416no—
563C2×C8—942no—
564C2×C8—942no—
565C2×C8—942no—
566C2×C8—942no—
567C2×C8—942no—
568C2×C8C2×D18814yescomplemented
569C4⋊C4—944no—
570C4⋊C4—944no—
571C22⋊C4—944no—
572C22⋊C4—944no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C42—24no—
576C42—22no—
577C42—22no—
578C23—22no—
579C23—22no—
580C23—472no—
581C23—474no—
582C23—472no—
583C23—474no—
584C23—948no—
585C23—948no—
586C23—941no—
587C23—941no—
588C23—942no—
589C23—948no—
590C23—942no—
591C23—941no—
592C23—942no—
593C23—941no—
594C23—942no—
595C23—942no—
596C23—942no—
597C23—942no—
598C23—942no—
599C23—942no—
600C23—1884no—
601C23—1888no—
602C23—1888no—
603C23—1888no—
604C23—1888no—
605C23—1884no—
606C23—1884no—
607C23C22⋊C4×D4712yes—
608C23#1309398612yes—
609C23C4×D18812yes—
610C23C22×C4×D4711yescharacteristic
611D4—9416no—
612D4—9416no—
613C2×C4—28no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—44no—
619C2×C4—472no—
620C2×C4—472no—
621C2×C4—948no—
622C2×C4—941no—
623C2×C4—941no—
624C2×C4—941no—
625C2×C4—941no—
626C2×C4—948no—
627C2×C4—948no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—1884no—
640C2×C4—1888no—
641C2×C4—1882no—
642C2×C4—1882no—
643C2×C4—1882no—
644C2×C4—1882no—
645C2×C4C22⋊C4×D4712yes—
646C2×C4#1309398612yes—
647C2×C4C4×D18812yes—
648C2×C4#1309399414yes—
649C2×C4#1309399714yes—
650C2×C4#1309399914yes—
651C2×C4#1309400914yes—
652C2×C4M16×D4714yescomplemented
653C2×C4C2×D4×D4711yescharacteristic
654C2×C4C2×D4×D4711yescharacteristic
655C2×C4C2×D4×D4711yescharacteristic
656C2×C4C22×D18811yescharacteristic
657C2×C4C2×#1062535011yescharacteristic
658C2×C4C2×#1062535411yescharacteristic
659C8—24no—
660C8—42no—
661C8—944no—
662C8—1882no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—474no—
668C22—942no—
669C22—942no—
670C22—944no—
671C22—944no—
672C22—942no—
673C22—944no—
674C22—942no—
675C22—942no—
676C22—944no—
677C22—944no—
678C22—18816no—
679C22—18816no—
680C22—1882no—
681C22—1882no—
682C22—1882no—
683C22—1882no—
684C22—1882no—
685C22—1882no—
686C22#1568900114yes—
687C22C2×C22⋊C4×D4711yescharacteristic
688C22C2×#1309398611yescharacteristic
689C22C2×C4×D18811yescharacteristic
690C22C2×M16×D4712yes—
691C22#1568988912yes—
692C4—24no—
693C4—42no—
694C4—942no—
695C4—942no—
696C4—1882no—
697C4#1568900114yes—
698C4C2×#1309399411yescharacteristic
699C4C2×#1309399711yescharacteristic
700C4C2×#1309399911yescharacteristic
701C4C2×#1309400911yescharacteristic
702C2—24no—
703C2—944no—
704C2—1882no—
705C2—1884no—
706C2C2×#1568900111yescharacteristic
707C2#407×D4711yescharacteristic
708C2#2025183111yescharacteristic
709C2#2025212312yes—
710C2M16×D18812yes—
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1728C2
prime radicalC23×D188C4
cosocleC22×C4×C47C24
hypercenter#1728D47
hypocenterC47#20898
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1728

Complements

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

NH ≅ G/Ntype
1. C22×M16×D47C2semidirect
3. C2×#15689086C2semidirect
4. C2×#15689086C2semidirect
5. C2×#15689086C2semidirect
6. #20243684C2semidirect
7. #20243679C2semidirect
8. #20243082C2semidirect
9. C47×#1728C2semidirect
15. C22×#10625324C22semidirect
19. C22×C8×D47C22semidirect
32. C2×(C2×D47)⋊C8C22semidirect
33. C2×(C2×D47)⋊C8C22semidirect
34. C2×(C2×D47)⋊C8C22semidirect
35. C2×(C2×D47)⋊C8C22semidirect
36. #15688878C22semidirect
40. C47×#336C22semidirect
72. C2×#10625329D4semidirect
109. C2×M16×C47D4semidirect
159. C2×D188M16semidirect
202. C2×C8×C47C2×D4semidirect
219. C2×C47⋊C8C2×D4semidirect
254. C22×D47C2×M16semidirect
268. C2×C4×C47C2×M16semidirect
336. C2×D47#407semidirect
355. #1728D47semidirect
395. #336C2×D47semidirect
396. C47#20898semidirect
441. C2×M16D188semidirect
568. C2×C8C2×D188semidirect
652. C2×C4M16×D47semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D472
C22×C4×D1882
C2×#156890862
#202436842
#202436792
#202430822
C47×#17282
#2089847