Finite Group Databasebeta

← #26222686

Subgroups — #26222686

Order 12032.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689320C211yesmaximal, characteristic
2C2×#15689223C211yesmaximal, characteristic, complemented
3C2×C4×#10625335C211yesmaximal, characteristic, complemented
4#20245751C211yesmaximal, characteristic, complemented
5#20244316C211yesmaximal, characteristic
6#20244154C211yesmaximal, characteristic, complemented
7#20244012C211yesmaximal, characteristic, complemented
8#20244005C211yesmaximal, characteristic, complemented
9#20243746C211yesmaximal, characteristic, complemented
10#20243746C211yesmaximal, characteristic, complemented
11#20243400C211yesmaximal, characteristic, complemented
12#20243245C211yesmaximal, characteristic, complemented
13#20243213C211yesmaximal, characteristic, complemented
14C4×#13093945C211yesmaximal, characteristic, complemented
15C47×#2328C211yesmaximal, characteristic
16C22×#10625335C2211yescharacteristic
17C22×#10625335C2211yescharacteristic
18C2×C4×Dic94C2211yescharacteristic
19C2×C4×Dic94C2211yescharacteristic
20C2×C4×Dic94C2211yescharacteristic
21#15689320C418yescomplemented
22#15689223—24no—
23C4×#10625335—24no—
24C2×#13093957C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×C4⋊(C47⋊C8)C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×#13093947C2211yescharacteristic
29C2×#13093947C2211yescharacteristic
30C2×#13093945C2211yescharacteristic
31C2×#13093945C2211yescharacteristic
32C2×#13093945C2211yescharacteristic
33C2×#13093945C2211yescharacteristic
34C2×#13093945C2211yescharacteristic
35C2×#13093945C2211yescharacteristic
36C2×#13093935C2211yescharacteristic
37C2×C4×C47⋊C8C2211yescharacteristic
38C4×C4⋊Dic47C2211yescharacteristic
39C4×C4⋊Dic47C2211yescharacteristic
40C4×C4⋊Dic47C2211yescharacteristic
41#15688974—21no—
42#15688974—21no—
43#15688974—21no—
44#15688968—21no—
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688885C2211yescharacteristic
49#15688878C2211yescharacteristic
50#15688878C2211yescharacteristic
51C2×#127×C47C2211yescharacteristic
52C2×C4×D4×C47C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C47×#390C2211yescharacteristic
55C47×#390C2211yescharacteristic
56C47×#386—21no—
57C47×#386—21no—
58C47×#386—21no—
59C47×#386—21no—
60C47×#382C2211yescharacteristic
61C47×#376C2211yescharacteristic
62C22×Dic94C2311yescharacteristic
63C2×#10625335—22no—
64C2×#10625335—22no—
65C2×#10625335—22no—
66C2×#10625335—22no—
67C2×#10625335C2×C414yescomplemented
68C2×#10625335C2×C414yescomplemented
69C22×C47⋊C8C2311yescharacteristic
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C4×Dic94—22no—
74C4×Dic94—22no—
75C4×Dic94—22no—
76C4×Dic94—22no—
77C4×Dic94C2×C414yescomplemented
78C4×Dic94D414yescomplemented
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×Dic47⋊C4—21no—
83C2×Dic47⋊C4—21no—
84C2×Dic47⋊C4—21no—
85C2×C4×Dic47—21no—
86C2×C4×Dic47—21no—
87C2×C4×Dic47—21no—
88C2×C4×Dic47—21no—
89C2×C4×Dic47—21no—
90C2×C4×Dic47—21no—
91#13093957—22no—
92#13093955—22no—
93C4⋊(C47⋊C8)—22no—
94C4⋊(C47⋊C8)C2×C414yescomplemented
95#13093947—22no—
96#13093947—22no—
97#13093945—22no—
98#13093945—22no—
99#13093945—22no—
100#13093945—22no—
101#13093945C2×C414yescomplemented
102#13093945C2×C414yescomplemented
103#13093935—22no—
104C4×C47⋊C8—22no—
105C47⋊#95—21no—
106C47⋊#95—21no—
107C47⋊#95—21no—
108C22×D4×C47—21no—
109C22×D4×C47—21no—
110C22×D4×C47C2311yescharacteristic
111C22×D4×C47C2311yescharacteristic
112C23×C4×C47—21no—
113C23×C4×C47—21no—
114#127×C47—22no—
115#127×C47C2×C414yes—
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C4×D4×C47—22no—
119C4×D4×C47—22no—
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C4⋊C4×C47C2311yescharacteristic
122C2×C22⋊C4×C47—21no—
123C2×C22⋊C4×C47—21no—
124C2×C22⋊C4×C47—21no—
125C2×C22⋊C4×C47—21no—
126C2×C22⋊C4×C47—21no—
127C2×C22⋊C4×C47—21no—
128C2×C42×C47C2311yescharacteristic
129C2×C42×C47C2311yescharacteristic
130C2×C42×C47C2311yescharacteristic
131#95×C47—21no—
132#95×C47—21no—
133#95×C47D411yescharacteristic
134#95×C47D411yescharacteristic
135#95×C47D411yescharacteristic
136#95×C47D411yescharacteristic
137C24×C47—21no—
138C24×C47—21no—
139C2×D4×C47—24no—
140C2×D4×C47—24no—
141C2×D4×C47—21no—
142C2×D4×C47—21no—
143C2×D4×C47—21no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—81no—
152C2×D4×C47—81no—
153C2×D4×C47—81no—
154C2×D4×C47—81no—
155C2×D4×C47C22×C412yes—
156C2×D4×C47C22×C412yes—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47—42no—
160C22×C4×C47—42no—
161C22×C4×C47—81no—
162C22×C4×C47—81no—
163C22×C4×C47—81no—
164C22×C4×C47—81no—
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2411yescharacteristic
172C22×Dic47—21no—
173C22×Dic47—21no—
174C22×Dic47—21no—
175C22×Dic47—21no—
176C2×Dic94—21no—
177C2×Dic94—21no—
178C2×Dic94—21no—
179C2×Dic94C22×C412yes—
180C2×Dic94C2×D412yes—
181C2×Dic94#4112yes—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C22⋊C4×C47—42no—
187C22⋊C4×C47—42no—
188C22⋊C4×C47—81no—
189C22⋊C4×C47—81no—
190C22⋊C4×C47—81no—
191C22⋊C4×C47—81no—
192C42×C47—21no—
193C42×C47—21no—
194C42×C47C22×C412yes—
195C42×C47C2×D412yes—
196C42×C47#4112yes—
197C42×C47#4112yes—
198#10625335—28no—
199#10625335—28no—
200C4⋊Dic47—21no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47C22×C412yes—
204C4⋊Dic47C2×D412yes—
205C4⋊Dic47#4112yes—
206Dic47⋊C4—24no—
207Dic47⋊C4—24no—
208Dic47⋊C4—24no—
209C4×Dic47—24no—
210C4×Dic47—24no—
211C4×Dic47—24no—
212C4×Dic47—81no—
213C4×Dic47—81no—
214C4×Dic47—81no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
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⋊C8C22×C412yes—
226C2×C47⋊C8C22×C412yes—
227C23×C47—22no—
228C23×C47—22no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47—41no—
241C23×C47C22×D411yescharacteristic
242D4×C47—22no—
243D4×C47—22no—
244D4×C47—22no—
245D4×C47—22no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—41no—
249D4×C47—41no—
250D4×C47—84no—
251D4×C47—84no—
252C2×C4×C47—21no—
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—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—84no—
273C2×C4×C47—84no—
274C2×C4×C47C4×D412yes—
275C2×C4×C47C4×D412yes—
276C2×C4×C47#12112yes—
277C2×C4×C47#12112yes—
278C2×C4×C47C23×C411yescharacteristic
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C2×#4111yescharacteristic
281C2×C4×C47C2×#4111yescharacteristic
282C2×C4×C47C2×#4111yescharacteristic
283C2×C4×C47C2×#4111yescharacteristic
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
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—
296Dic94—22no—
297Dic94—22no—
298Dic94—22no—
299Dic94C4×D414yes—
300C47⋊C8—22no—
301C47⋊C8—22no—
302C47⋊C8—41no—
303C47⋊C8—41no—
304#21515—471nomaximal, Sylow
305C22×C47—42no—
306C22×C47—42no—
307C22×C47—42no—
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47—81no—
316C22×C47—81no—
317C22×C47—81no—
318C22×C47—81no—
319C22×C47C2×C4×D411yescharacteristic
320C22×C47C2×#12111yescharacteristic
321C22×C47#52511yescharacteristic
322C22×C47#57611yescharacteristic
323C22×C47#57711yescharacteristic
324C22×C47#57711yescharacteristic
325C22×C47#57711yescharacteristic
326C4×C47—22no—
327C4×C47—22no—
328C4×C47—22no—
329C4×C47—22no—
330C4×C47—41no—
331C4×C47—41no—
332C4×C47—81no—
333C4×C47—81no—
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C4×#4111yescharacteristic
336C4×C47#52911yescharacteristic
337C4×C47#53211yescharacteristic
338Dic47—24no—
339Dic47—42no—
340Dic47—42no—
341Dic47—42no—
342C2×#460—471no—
343C2×#440—471no—
344C2×C4×SD16—471no—
345#2328D4711yescharacteristic
346#2276—471no—
347#1982—471no—
348#1949—471no—
349#1926—471no—
350#1925—471no—
351#1880—471no—
352#1880—471no—
353#1805—471no—
354#1768—471no—
355#1762—471no—
356C4×#102—471no—
357C2×C47—82no—
358C2×C47—82no—
359C2×C47C4×#12111yescharacteristic
360C2×C47#294611yescharacteristic
361C2×C47#294911yescharacteristic
362C2×C47#304311yescharacteristic
363C2×C47#304511yescharacteristic
364C2×C47#311911yescharacteristic
365C2×C47#312611yescharacteristic
366C22×SD16—471no—
367C22×SD16—471no—
368C2×#127C2×D4711yescharacteristic
369C2×C4×Q8—471no—
370C2×C4×Q8—471no—
371C2×C4×Q8—471no—
372C2×C4×D4C2×D4711yescharacteristic
373C2×C4×D4C2×D4711yescharacteristic
374#460—478no—
375#440—944no—
376C4×SD16—944no—
377C2×#107—471no—
378C2×#106—471no—
379C2×C4⋊C8—471no—
380C2×C4⋊C8—471no—
381C2×#103—471no—
382C2×#103—471no—
383C2×#102—471no—
384C2×#102—471no—
385C2×#102—471no—
386C2×#102—471no—
387C2×#102—471no—
388C2×#102—471no—
389C2×#97—471no—
390C2×C4×C8—471no—
391#390C2×D4711yescharacteristic
392#390C2×D4711yescharacteristic
393#386—21no—
394#386—21no—
395#386—21no—
396#386—21no—
397#382C2×D4711yescharacteristic
398C4×C4⋊C4—471no—
399C4×C4⋊C4—471no—
400C4×C4⋊C4—471no—
401C4×C4⋊C4—941no—
402C4×C4⋊C4—941no—
403C4×C4⋊C4—941no—
404#376—941no—
405#376C2×D4711yescharacteristic
406#340—471no—
407#340—471no—
408#340—471no—
409#340—471no—
410#336—471no—
411#336—471no—
412C47#2151511yescharacteristic, complemented, Sylow
413C22×Q8—471no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4C22×D4711yescharacteristic
417C22×D4C22×D4711yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C2×SD16—474no—
421C2×SD16—474no—
422C2×SD16—942no—
423C2×SD16—942no—
424C2×SD16—942no—
425C2×SD16—942no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—471no—
429C22×C8—471no—
430#127—22no—
431#127C4×D4714yes—
432C4×Q8—474no—
433C4×Q8—474no—
434C4×Q8—942no—
435C4×Q8—942no—
436C4×Q8—942no—
437C4×Q8—942no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C2×C4⋊C4—471no—
443C2×C4⋊C4—471no—
444C2×C4⋊C4—471no—
445C2×C4⋊C4—941no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4—941no—
448C2×C4⋊C4C22×D4711yescharacteristic
449C2×C4⋊C4C22×D4711yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C42—941no—
457C2×C42—941no—
458C2×C42—941no—
459C2×C42—941no—
460C2×C42—941no—
461C2×C42—941no—
462C2×C42C22×D4711yescharacteristic
463C2×C42C22×D4711yescharacteristic
464C2×C42C22×D4711yescharacteristic
465#107—942no—
466#106—942no—
467C4⋊C8—474no—
468C4⋊C8—942no—
469#103—942no—
470#103—942no—
471#102—474no—
472#102—474no—
473#102—942no—
474#102—942no—
475#102—942no—
476#102—942no—
477#97—942no—
478C4×C8—942no—
479#95—21no—
480#95—21no—
481#95—941no—
482#95—941no—
483#95—941no—
484#95C22⋊D4711yescharacteristic
485#95C22⋊D4711yescharacteristic
486#95C22⋊D4711yescharacteristic
487#95C22⋊D4711yescharacteristic
488C24—21no—
489C24—21no—
490C2×Q8—472no—
491C2×Q8—472no—
492C2×Q8—472no—
493C2×Q8—941no—
494C2×Q8—941no—
495C2×Q8—941no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×C4×D4712yes—
513C2×D4C2×C4×D4712yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4C2×C22⋊D4711yescharacteristic
527C22×C4C2×C22⋊D4711yescharacteristic
528C22×C4C2×C22⋊D4711yescharacteristic
529C22×C4C2×C22⋊D4711yescharacteristic
530C22×C4C2×C22⋊D4711yescharacteristic
531C22×C4C2×C22⋊D4711yescharacteristic
532C22×C4C23×D4711yescharacteristic
533SD16—948no—
534SD16—948no—
535C2×C8—472no—
536C2×C8—472no—
537C2×C8—941no—
538C2×C8—941no—
539C2×C8—941no—
540C2×C8—941no—
541C2×C8—941no—
542C2×C8—941no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—472no—
552C4⋊C4—472no—
553C4⋊C4—472no—
554C4⋊C4—944no—
555C4⋊C4—944no—
556C4⋊C4—944no—
557C4⋊C4—941no—
558C4⋊C4—941no—
559C4⋊C4—941no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C42—21no—
567C42—21no—
568C42—944no—
569C42—944no—
570C42—944no—
571C42—3761no—
572C42—3761no—
573C42—3761no—
574C42C2×C4×D4712yes—
575C42#1062535012yes—
576C42D4×D4712yes—
577C42#1062535212yes—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C22×C22⋊D4711yescharacteristic
593Q8—474no—
594Q8—942no—
595Q8—942no—
596Q8—942no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
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—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—1881no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4C4×C22⋊D4712yes—
642C2×C4C4×C22⋊D4712yes—
643C2×C4#1309399512yes—
644C2×C4#1309399512yes—
645C2×C4C22×C4×D4711yescharacteristic
646C2×C4C2×D4×D4711yescharacteristic
647C2×C4#41×D4711yescharacteristic
648C2×C4#41×D4711yescharacteristic
649C2×C4C2×#1062535211yescharacteristic
650C2×C4C2×#1062535011yescharacteristic
651C8—942no—
652C8—942no—
653C8—1881no—
654C8—1881no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×C4×C22⋊D4711yescharacteristic
670C22C2×#1309399511yescharacteristic
671C22#1568963011yescharacteristic
672C22#1568992611yescharacteristic
673C22#1568993411yescharacteristic
674C22#1568993411yescharacteristic
675C22#1568993411yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—944no—
685C4—1882no—
686C4—1882no—
687C4—1882no—
688C4C4×D4×D4711yescharacteristic
689C4C4×#1062535211yescharacteristic
690C4#1568965511yescharacteristic
691C4#1568967011yescharacteristic
692C2—82no—
693C2—82no—
694C2C4×#1309399511yescharacteristic
695C2#2025222011yescharacteristic
696C2#2025224511yescharacteristic
697C2#2025290511yescharacteristic
698C2#2025292311yescharacteristic
699C2#2025358111yescharacteristic
700C2#2025367411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#2328C2
socleC23×C47C22×D4
prime radicalC2×#127×C47C22
cosocleC22×C4×C47C24
hypercenter#2328D47
hypocenterC47#21515
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. C2×#15689223C2semidirect
3. C2×C4×#10625335C2semidirect
4. #20245751C2semidirect
6. #20244154C2semidirect
7. #20244012C2semidirect
8. #20244005C2semidirect
9. #20243746C2semidirect
10. #20243746C2semidirect
11. #20243400C2semidirect
12. #20243245C2semidirect
13. #20243213C2semidirect
14. C4×#13093945C2semidirect
21. #15689320C4semidirect
67. C2×#10625335C2×C4semidirect
68. C2×#10625335C2×C4semidirect
77. C4×Dic94C2×C4semidirect
78. C4×Dic94D4semidirect
94. C4⋊(C47⋊C8)C2×C4semidirect
101. #13093945C2×C4semidirect
102. #13093945C2×C4semidirect
412. C47#21515semidirect

Maximal subgroups

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

subgroupindex
C2×#156893202
C2×#156892232
C2×C4×#106253352
#202457512
#202443162
#202441542
#202440122
#202440052
#202437462
#202434002
#202432452
#202432132
C4×#130939452
C47×#23282
#2151547