Finite Group Databasebeta

← C2×#20243855 #26218102

Subgroups — C2×#20243855 #26218102

Order 12032.

1854 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
1C22×M16×D47C211yesmaximal, characteristic
2C22×#13094004C211yesmaximal, characteristic
3C22×#13093942C211yesmaximal, characteristic, complemented
4C22×#13093942C211yesmaximal, characteristic, complemented
5C2×#15689086C211yesmaximal, characteristic
6#20243855C218yesmaximal, direct product factor
7C2×#15688892C211yesmaximal, characteristic, complemented
8C2×C47×#343C211yesmaximal, characteristic, complemented
9C23×Dic94C2211yescharacteristic
10C23×C4×D47C2211yescharacteristic
11C22×#10625329C2211yescharacteristic
12C22×#10625329C2211yescharacteristic
13C22×#10625324—21no—
14C2×M16×D47—22no—
15C2×M16×D47—24no—
16C2×M16×D47—24no—
17C2×M16×D47C2214yes—
18C22×C8×D47—21no—
19C2×#13094004—21no—
20C2×#13094004—21no—
21C2×#13094004—22no—
22C2×#13094004—21no—
23C2×#13094004—22no—
24C2×#13094004—21no—
25C2×#13094004C414yes—
26C2×#13094004C2214yes—
27C22×C4⋊Dic47C412yes—
28C22×(C2×D47)⋊C4C412yes—
29C2×#13093942—24no—
30C2×#13093942—24no—
31C2×#13093942C2214yescomplemented
32C2×#13093942C2214yescomplemented
33#15689086—22no—
34#15689086C2214yes—
35C2×(C2×D47)⋊C8—21no—
36C2×(C2×D47)⋊C8—21no—
37#15688892C2214yescomplemented
38C22×M16×C47C2211yescharacteristic
39C22×M16×C47C2211yescharacteristic
40C22×C4⋊C4×C47C2211yescharacteristic
41C47×#343C2214yescomplemented
42C24×D47C2×C411yescharacteristic
43C22×Dic94—22no—
44C22×Dic94—22no—
45C22×Dic94—21no—
46C22×Dic94—21no—
47C22×Dic94—21no—
48C22×Dic94—21no—
49C22×Dic94—22no—
50C22×Dic94—22no—
51C22×Dic94C2×C412yes—
52C22×Dic94C2312yes—
53C23×Dic47C2×C412yes—
54C23×Dic47C2×C411yescharacteristic
55C22×C4×D47—22no—
56C22×C4×D47—22no—
57C22×C4×D47—22no—
58C22×C4×D47—22no—
59C22×C4×D47C2×C412yes—
60C22×C4×D47D411yescharacteristic
61C22×C4×D47D411yescharacteristic
62C22×C4×D47D412yes—
63C22×C4×D47D411yescharacteristic
64C22×C4×D47D412yes—
65C22×C4×D47D411yescharacteristic
66C22×C4×D47C2312yes—
67C2×#10625329—22no—
68C2×#10625329—21no—
69C2×#10625329—21no—
70C2×#10625329—22no—
71C2×#10625329—22no—
72C2×#10625329D414yes—
73C2×#10625329C2312yes—
74C2×#10625329C2312yes—
75C2×#10625324—28no—
76C2×#10625324—24no—
77M16×D47—216no—
78M16×D47—28no—
79M16×D47—28no—
80C22×C47⋊C8—21no—
81C22×C47⋊C8—21no—
82C2×C8×D47—28no—
83C2×C8×D47—24no—
84#13094004—24no—
85#13094004—24no—
86#13094004—24no—
87#13094004—24no—
88#13094004—24no—
89#13094004—24no—
90#13094004—24no—
91#13094004—24no—
92C2×C4⋊Dic47—24no—
93C2×C4⋊Dic47—22no—
94C2×C4⋊Dic47—22no—
95C2×C4⋊Dic47C2×C418yes—
96C2×(C2×D47)⋊C4—22no—
97C2×(C2×D47)⋊C4—24no—
98C2×(C2×D47)⋊C4—22no—
99C2×(C2×D47)⋊C4C2×C418yes—
100#13093942—28no—
101#13093942—28no—
102(C2×D47)⋊C8—24no—
103(C2×D47)⋊C8—24no—
104C23×C4×C47C2×C412yes—
105C23×C4×C47C2311yescharacteristic
106C2×M16×C47—22no—
107C2×M16×C47—21no—
108C2×M16×C47—21no—
109C2×M16×C47—22no—
110C2×M16×C47—22no—
111C2×M16×C47D414yes—
112C2×M16×C47C2312yes—
113C2×M16×C47C2312yes—
114C22×C8×C47—21no—
115C22×C8×C47—21no—
116C2×C4⋊C4×C47—21no—
117C2×C4⋊C4×C47—21no—
118C2×C4⋊C4×C47—21no—
119C2×C4⋊C4×C47—21no—
120C2×C4⋊C4×C47C2×C412yes—
121C2×C4⋊C4×C47C2312yes—
122C24×C47C22×C411yescharacteristic
123C23×D47—22no—
124C23×D47—22no—
125C23×D47—24no—
126C23×D47—42no—
127C23×D47C22⋊C411yescharacteristic
128C23×D47C22⋊C412yes—
129C23×D47C22⋊C411yescharacteristic
130C23×D47C22×C412yes—
131C22×C4×C47—22no—
132C22×C4×C47—22no—
133C22×C4×C47—44no—
134C22×C4×C47C22×C414yes—
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C2×D411yescharacteristic
137C22×C4×C47C2×D411yescharacteristic
138C22×C4×C47C2×D411yescharacteristic
139C22×C4×C47C2×D411yescharacteristic
140C22×C4×C47C2×D412yes—
141C22×C4×C47C2×D412yes—
142C22×C4×C47#4112yes—
143C22×C4×C47#4112yes—
144C22×C4×C47C2411yescharacteristic
145C22×Dic47—22no—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—22no—
149C22×Dic47—24no—
150C22×Dic47—24no—
151C22×Dic47C22⋊C412yes—
152C22×Dic47C22⋊C411yescharacteristic
153C22×Dic47C22⋊C411yescharacteristic
154C22×Dic47C22×C414yes—
155C22×Dic47C22×C412yes—
156C2×C4×D47—24no—
157C2×C4×D47—24no—
158C2×C4×D47—22no—
159C2×C4×D47—24no—
160C2×C4×D47—22no—
161C2×C4×D47—22no—
162C2×C4×D47—22no—
163C2×C4×D47—24no—
164C2×C4×D47—22no—
165C2×C4×D47—22no—
166C2×C4×D47—24no—
167C2×C4×D47—22no—
168C2×C4×D47—24no—
169C2×C4×D47—22no—
170C2×C4×D47—22no—
171C2×C4×D47—22no—
172C2×C4×D47—22no—
173C2×C4×D47—22no—
174C2×C4×D47C22⋊C412yes—
175C2×C4×D47C22⋊C412yes—
176C2×C4×D47C22⋊C412yes—
177C2×C4×D47C22⋊C412yes—
178C2×C4×D47C2×D412yes—
179C2×C4×D47C2×D412yes—
180C2×C4×D47C2×D412yes—
181C2×C4×D47C2×D412yes—
182C2×Dic94—22no—
183C2×Dic94—22no—
184C2×Dic94—24no—
185C2×Dic94—24no—
186C2×Dic94—22no—
187C2×Dic94—22no—
188C2×Dic94—22no—
189C2×Dic94—22no—
190C2×Dic94—22no—
191C2×Dic94—22no—
192C2×Dic94—42no—
193C2×Dic94—42no—
194C2×Dic94—42no—
195C2×Dic94—42no—
196C2×Dic94—42no—
197C2×Dic94—42no—
198C2×Dic94—42no—
199C2×Dic94—42no—
200M16×C47—24no—
201M16×C47—22no—
202M16×C47—22no—
203M16×C47—22no—
204M16×C47—42no—
205M16×C47C2×D414yes—
206C2×C8×C47—24no—
207C2×C8×C47—22no—
208C2×C8×C47—22no—
209C2×C8×C47—42no—
210C4⋊C4×C47—22no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47—22no—
213C4⋊C4×C47—22no—
214(C2×D47)⋊C4—28no—
215(C2×D47)⋊C4—28no—
216C4⋊Dic47—28no—
217C4⋊Dic47—28no—
218#10625329—24no—
219#10625329—22no—
220#10625329—22no—
221#10625329—22no—
222#10625329—42no—
223#10625329C2×D414yes—
224C2×C47⋊C8—24no—
225C2×C47⋊C8—22no—
226C2×C47⋊C8—22no—
227C2×C47⋊C8—42no—
228#10625324—216no—
229C8×D47—216no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47C2×C22⋊C411yescharacteristic
233C23×C47C2×C22⋊C411yescharacteristic
234C23×C47C4×D412yes—
235C23×C47C4×D412yes—
236C23×C47C23×C411yescharacteristic
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—24no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47—22no—
245C22×D47—24no—
246C22×D47—24no—
247C22×D47—42no—
248C22×D47—42no—
249C22×D47—48no—
250C22×D47—48no—
251C22×D47#10114yescomplemented
252C22×D47C2×C22⋊C412yes—
253C22×D47C2×C22⋊C412yes—
254C2×C4×C47—24no—
255C2×C4×C47—44no—
256C2×C4×C47—44no—
257C2×C4×C47—44no—
258C2×C4×C47C2×C22⋊C411yescharacteristic
259C2×C4×C47C2×C22⋊C411yescharacteristic
260C2×C4×C47C4×D412yes—
261C2×C4×C47C4×D412yes—
262C2×C4×C47#12012yes—
263C2×C4×C47#12012yes—
264C2×C4×C47#12112yes—
265C2×C4×C47#12112yes—
266C2×C4×C47#12112yes—
267C2×C4×C47#12112yes—
268C2×C4×C47#12312yes—
269C2×C4×C47#12312yes—
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C22×D411yescharacteristic
273C2×C4×C47C22×D411yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×C4×C47C2×#4111yescharacteristic
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—24no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—24no—
284C2×Dic47—44no—
285C2×Dic47—44no—
286C2×Dic47C2×C22⋊C412yes—
287C2×Dic47C2×C22⋊C412yes—
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—24no—
297C4×D47—24no—
298C4×D47—24no—
299C4×D47—24no—
300Dic94—42no—
301Dic94—42no—
302Dic94—42no—
303Dic94—42no—
304Dic94—44no—
305Dic94—44no—
306C8×C47—24no—
307C8×C47—42no—
308C47⋊C8—24no—
309C47⋊C8—42no—
310C2×#1901—471nomaximal, Sylow
311C22×C47—21no—
312C22×C47—21no—
313C22×C47—21no—
314C22×C47—21no—
315C22×C47—24no—
316C22×C47—24no—
317C22×C47#38612yes—
318C22×C47#38612yes—
319C22×C47C2×#10112yes—
320C22×C47#41312yes—
321C22×C47C22×C22⋊C411yescharacteristic
322C22×C47C2×C4×D411yescharacteristic
323C22×C47C2×C4×D411yescharacteristic
324C2×D47—22no—
325C2×D47—28no—
326C2×D47—22no—
327C2×D47—22no—
328C2×D47—22no—
329C2×D47—22no—
330C2×D47—44no—
331C2×D47—44no—
332C2×D47—48no—
333C2×D47—44no—
334C2×D47C2×#10114yescomplemented
335C4×C47—44no—
336C4×C47#38612yes—
337C4×C47#38612yes—
338C4×C47C2×#12011yescharacteristic
339C4×C47C2×#12111yescharacteristic
340C4×C47C2×#12111yescharacteristic
341C4×C47C2×#12311yescharacteristic
342Dic47—22no—
343Dic47—22no—
344Dic47—44no—
345C23×M16—471no—
346C22×C22⋊Q8—471no—
347C22×#101—471no—
348C22×#101—471no—
349C2×#407—471no—
350#1901—478no—
351C2×#343—471no—
352C2×#343D4711yescharacteristic, complemented
353C2×C47—21no—
354C2×C47—21no—
355C2×C47—22no—
356C2×C47#190114yescomplemented
357C2×C47C2×#38611yescharacteristic
358C2×C47C22×#10111yescharacteristic
359C2×C47C2×#41311yescharacteristic
360D47—24no—
361D47—42no—
362C23×Q8—471no—
363C24×C4—471no—
364C22×M16—471no—
365C22×M16—471no—
366C22×M16—474no—
367C22×M16—941no—
368C22×M16—944no—
369C22×M16—942no—
370C22×M16—944no—
371C22×M16C2×D4711yescharacteristic
372C22×M16C2×D4711yescharacteristic
373C23×C8—941no—
374C2×C22⋊Q8—474no—
375C2×C22⋊Q8—474no—
376C2×C22⋊Q8—941no—
377C2×C22⋊Q8—942no—
378C2×C22⋊Q8—941no—
379C2×C22⋊Q8—941no—
380C2×C22⋊Q8—941no—
381C2×C22⋊Q8—942no—
382C22×C4⋊C4—472no—
383C22×C4⋊C4C2×D4711yescharacteristic
384C22×C22⋊C4—472no—
385C2×#101—474no—
386C2×#101—474no—
387C2×#101—944no—
388C2×#101—944no—
389#407—474no—
390#407—942no—
391C2×C22⋊C8—941no—
392C2×C22⋊C8—941no—
393#343—474no—
394#343C2×D4714yescomplemented
395C47C2×#190111yescharacteristic, complemented, Sylow
396C25—471no—
397C22×Q8—472no—
398C22×Q8—472no—
399C22×Q8—942no—
400C22×Q8—942no—
401C22×Q8—941no—
402C22×Q8—941no—
403C22×Q8—941no—
404C22×Q8—941no—
405C22×Q8—942no—
406C22×Q8—942no—
407C23×C4—471no—
408C23×C4—472no—
409C23×C4—471no—
410C23×C4—472no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—472no—
415C23×C4—472no—
416C23×C4—472no—
417C23×C4—942no—
418C23×C4—942no—
419C23×C4—942no—
420C23×C4—942no—
421C23×C4C4×D4712yes—
422C23×C4C22×D4711yescharacteristic
423C2×M16—22no—
424C2×M16—21no—
425C2×M16—21no—
426C2×M16—22no—
427C2×M16—22no—
428C2×M16—474no—
429C2×M16—472no—
430C2×M16—472no—
431C2×M16—944no—
432C2×M16—948no—
433C2×M16—948no—
434C2×M16—9416no—
435C2×M16—942no—
436C2×M16—941no—
437C2×M16—948no—
438C2×M16—941no—
439C2×M16—942no—
440C2×M16—942no—
441C2×M16D18814yes—
442C2×M16C22×D4712yes—
443C2×M16C22×D4712yes—
444C22×C8—21no—
445C22×C8—21no—
446C22×C8—944no—
447C22×C8—948no—
448C22×C8—941no—
449C22×C8—941no—
450C22⋊Q8—944no—
451C22⋊Q8—944no—
452C22⋊Q8—944no—
453C22⋊Q8—944no—
454C22⋊Q8—944no—
455C22⋊Q8—944no—
456C22⋊Q8—944no—
457C22⋊Q8—944no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—478no—
463C2×C4⋊C4—944no—
464C2×C4⋊C4—942no—
465C2×C4⋊C4—942no—
466C2×C4⋊C4C4×D4712yes—
467C2×C4⋊C4C22×D4712yes—
468C2×C22⋊C4—478no—
469C2×C22⋊C4—944no—
470C2×C22⋊C4—942no—
471C2×C22⋊C4—942no—
472#101—948no—
473#101—948no—
474C22⋊C8—944no—
475C22⋊C8—944no—
476C24—471no—
477C24—471no—
478C24—472no—
479C24—472no—
480C24—944no—
481C24—942no—
482C24—942no—
483C24—1882no—
484C24C2×C4×D4711yescharacteristic
485C2×Q8—942no—
486C2×Q8—942no—
487C2×Q8—944no—
488C2×Q8—944no—
489C2×Q8—942no—
490C2×Q8—942no—
491C2×Q8—942no—
492C2×Q8—942no—
493C2×Q8—942no—
494C2×Q8—942no—
495C2×Q8—1882no—
496C2×Q8—1882no—
497C2×Q8—1882no—
498C2×Q8—1882no—
499C2×Q8—1882no—
500C2×Q8—1882no—
501C2×Q8—1882no—
502C2×Q8—1882no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—44no—
506C22×C4—472no—
507C22×C4—471no—
508C22×C4—471no—
509C22×C4—472no—
510C22×C4—472no—
511C22×C4—472no—
512C22×C4—472no—
513C22×C4—472no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—474no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—944no—
522C22×C4—944no—
523C22×C4—942no—
524C22×C4—944no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—944no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—944no—
532C22×C4—942no—
533C22×C4—944no—
534C22×C4—942no—
535C22×C4—942no—
536C22×C4—942no—
537C22×C4—942no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—942no—
541C22×C4—944no—
542C22×C4—944no—
543C22×C4C2×C4×D4714yes—
544C22×C4C2×C4×D4711yescharacteristic
545C22×C4C2×D18812yes—
546C22×C4#1062535012yes—
547C22×C4D4×D4711yescharacteristic
548C22×C4D4×D4711yescharacteristic
549C22×C4D4×D4711yescharacteristic
550C22×C4D4×D4711yescharacteristic
551C22×C4D4×D4712yes—
552C22×C4#1062535412yes—
553C22×C4C23×D4711yescharacteristic
554M16—24no—
555M16—22no—
556M16—22no—
557M16—22no—
558M16—42no—
559M16—474no—
560M16—9416no—
561M16—944no—
562M16—942no—
563M16—942no—
564M16—942no—
565M16—1882no—
566M16C2×D18814yes—
567C2×C8—24no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—42no—
571C2×C8—9416no—
572C2×C8—944no—
573C2×C8—942no—
574C2×C8—942no—
575C2×C8—1882no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—948no—
581C4⋊C4—948no—
582C22⋊C4—948no—
583C22⋊C4—948no—
584C23—22no—
585C23—22no—
586C23—472no—
587C23—474no—
588C23—472no—
589C23—944no—
590C23—944no—
591C23—942no—
592C23—942no—
593C23—944no—
594C23—942no—
595C23—942no—
596C23—942no—
597C23—942no—
598C23—942no—
599C23—1882no—
600C23—1882no—
601C23—1888no—
602C23—1888no—
603C23C22⋊C4×D4711yescharacteristic
604C23C22⋊C4×D4711yescharacteristic
605C23#1309398612yes—
606C23C4×D18812yes—
607C23C22×C4×D4711yescharacteristic
608Q8—1884no—
609Q8—1884no—
610Q8—1882no—
611Q8—1882no—
612Q8—1882no—
613Q8—1882no—
614C2×C4—24no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—472no—
619C2×C4—472no—
620C2×C4—944no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—944no—
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—944no—
638C2×C4—944no—
639C2×C4—944no—
640C2×C4—1884no—
641C2×C4—1884no—
642C2×C4C22⋊C4×D4711yescharacteristic
643C2×C4C22⋊C4×D4711yescharacteristic
644C2×C4#1309398612yes—
645C2×C4C4×D18812yes—
646C2×C4#1309399412yes—
647C2×C4#1309399412yes—
648C2×C4#1309399712yes—
649C2×C4#1309399712yes—
650C2×C4#1309399912yes—
651C2×C4#1309399912yes—
652C2×C4#1309400912yes—
653C2×C4#1309400912yes—
654C2×C4C2×D4×D4711yescharacteristic
655C2×C4C2×D4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4C22×D18811yescharacteristic
658C2×C4C2×#1062535011yescharacteristic
659C2×C4C2×#1062535411yescharacteristic
660C8—24no—
661C8—42no—
662C8—944no—
663C8—1882no—
664C22—24no—
665C22—24no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—474no—
671C22—942no—
672C22—948no—
673C22—942no—
674C22—942no—
675C22—942no—
676C22—942no—
677C22—1888no—
678C22—1884no—
679C22—1884no—
680C22—1884no—
681C22#1568900112yes—
682C22#1568900112yes—
683C22#101×D4712yes—
684C22#1568910412yes—
685C22C2×C22⋊C4×D4711yescharacteristic
686C22C2×#1309398611yescharacteristic
687C22C2×C4×D18811yescharacteristic
688C4—44no—
689C4—942no—
690C4—942no—
691C4—1884no—
692C4#1568900112yes—
693C4#1568900112yes—
694C4C2×#1309399411yescharacteristic
695C4C2×#1309399711yescharacteristic
696C4C2×#1309399911yescharacteristic
697C4C2×#1309400911yescharacteristic
698C2—22no—
699C2—21no—
700C2—21no—
701C2—944no—
702C2—1882no—
703C2#2024385514yesdirect product factor
704C2C2×#1568900111yescharacteristic
705C2C2×#101×D4711yescharacteristic
706C2C2×#1568910411yescharacteristic
subgroupG/H
centerC23C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#343C2
socleC23×C47C2×C22⋊C4
prime radicalC24×D47C2×C4
cosocleC22×C4×C47C24
hypercenterC2×#343D47
hypocenterC47C2×#1901
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#343

Complements

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

NH ≅ G/Ntype
3. C22×#13093942C2semidirect
4. C22×#13093942C2semidirect
6. #20243855C2direct (N × H)
7. C2×#15688892C2semidirect
8. C2×C47×#343C2semidirect
31. C2×#13093942C22semidirect
32. C2×#13093942C22semidirect
37. #15688892C22semidirect
41. C47×#343C22semidirect
251. C22×D47#101semidirect
334. C2×D47C2×#101semidirect
352. C2×#343D47semidirect
356. C2×C47#1901semidirect
394. #343C2×D47semidirect
395. C47C2×#1901semidirect
703. C2#20243855direct (N × H)

Maximal subgroups

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

subgroupindex
C22×M16×D472
C22×#130940042
C22×#130939422
C2×#156890862
#202438552
C2×#156888922
C2×C47×#3432
C2×#190147