Finite Group Databasebeta

← #26123665

Subgroups — #26123665

Order 12032.

1254 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093955C211yesmaximal, characteristic, complemented
2C22×#13093946C211yesmaximal, characteristic
3C22×#13093944C211yesmaximal, characteristic
4C2×#15689024C211yesmaximal, characteristic
5C2×#15688877C211yesmaximal, characteristic, complemented
6#20241617C211yesmaximal, characteristic, complemented
7C2×C47×#340C211yesmaximal, characteristic, complemented
8C23×D188C2211yescharacteristic
9C23×C47⋊C8C2211yescharacteristic
10C22×C4⋊Dic47C2211yescharacteristic
11C22×(C2×D47)⋊C4—22no—
12C22×C4×Dic47C2211yescharacteristic
13C2×#13093955—22no—
14C2×#13093955—22no—
15C2×#13093955—22no—
16C2×#13093946—22no—
17C2×#13093946—22no—
18C2×#13093946—22no—
19C2×#13093944—22no—
20C2×#13093944—22no—
21C2×#13093944C414yescomplemented
22#15689024—22no—
23#15689024—22no—
24C2×C47⋊#95—22no—
25#15688877—22no—
26C23×C8×C47C2211yescharacteristic
27C22×C4⋊C4×C47C2211yescharacteristic
28C22×C4⋊C4×C47C2211yescharacteristic
29C47×#340—22no—
30C24×D47—21no—
31C22×D188—21no—
32C22×D188—21no—
33C22×D188—21no—
34C22×D188—21no—
35C22×D188—21no—
36C22×D188—21no—
37C22×D188—21no—
38C22×D188—21no—
39C22×D188—21no—
40C22×D188—21no—
41C22×D188—21no—
42C22×D188C2×C412yes—
43C22×D188D412yes—
44C22×D188Q812yes—
45C23×Dic47—21no—
46C23×Dic47D412yes—
47C22×C47⋊C8—21no—
48C22×C47⋊C8—21no—
49C22×C47⋊C8—21no—
50C22×C47⋊C8—21no—
51C22×C47⋊C8C2×C412yes—
52C22×C47⋊C8D412yes—
53C22×C47⋊C8D412yes—
54C2×C4⋊Dic47—21no—
55C2×C4⋊Dic47—21no—
56C2×C4⋊Dic47—21no—
57C2×C4⋊Dic47—21no—
58C2×C4⋊Dic47—21no—
59C2×C4⋊Dic47D412yes—
60C2×(C2×D47)⋊C4—28no—
61C2×(C2×D47)⋊C4—44no—
62C2×(C2×D47)⋊C4—44no—
63C2×C4×Dic47—21no—
64C2×C4×Dic47—21no—
65C2×C4×Dic47—21no—
66C2×C4×Dic47—21no—
67C2×C4×Dic47—21no—
68C2×C4×Dic47—21no—
69#13093955—28no—
70#13093946—28no—
71#13093944—28no—
72C47⋊#95—44no—
73C23×C4×C47—21no—
74C23×C4×C47—21no—
75C23×C4×C47C2311yescharacteristic
76C22×C8×C47—21no—
77C22×C8×C47—21no—
78C22×C8×C47—21no—
79C22×C8×C47—21no—
80C22×C8×C47—21no—
81C22×C8×C47—21no—
82C22×C8×C47D412yes—
83C2×C4⋊C4×C47—21no—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—21no—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47—21no—
89C2×C4⋊C4×C47—21no—
90C2×C4⋊C4×C47—21no—
91C2×C4⋊C4×C47—21no—
92C2×C4⋊C4×C47—21no—
93C2×C4⋊C4×C47C2×C412yes—
94C2×C4⋊C4×C47D412yes—
95C24×C47C2×D411yescharacteristic
96C23×D47—22no—
97C23×D47—22no—
98C23×D47—22no—
99C23×D47—41no—
100C23×D47—41no—
101C23×D47—41no—
102C23×D47—41no—
103C23×D47—42no—
104C23×D47—42no—
105C23×D47—42no—
106C23×D47—42no—
107C22×C4×C47—22no—
108C22×C4×C47—22no—
109C22×C4×C47—41no—
110C22×C4×C47—41no—
111C22×C4×C47—41no—
112C22×C4×C47—41no—
113C22×C4×C47—42no—
114C22×C4×C47—42no—
115C22×C4×C47—42no—
116C22×C4×C47—42no—
117C22×C4×C47C22×C411yescharacteristic
118C22×C4×C47C2×D411yescharacteristic
119C22×C4×C47C2×D411yescharacteristic
120C22×C4×C47C2×D411yescharacteristic
121C22×C4×C47C2×D411yescharacteristic
122C22×C4×C47C2×D411yescharacteristic
123C22×C4×C47C2×D411yescharacteristic
124C22×C4×C47C2×Q811yescharacteristic
125C22×C4×C47#4111yescharacteristic
126C22×C4×C47#4111yescharacteristic
127C22×C4×C47#4111yescharacteristic
128C22×C4×C47#4111yescharacteristic
129C22×C4×C47#4111yescharacteristic
130C22×C4×C47#4111yescharacteristic
131C22×Dic47—22no—
132C22×Dic47—22no—
133C22×Dic47—22no—
134C22×Dic47—22no—
135C22×Dic47—22no—
136C22×Dic47—22no—
137C22×Dic47—22no—
138C22×Dic47—41no—
139C22×Dic47—41no—
140C22×Dic47—42no—
141C22×Dic47—42no—
142C22×Dic47SD1614yes—
143C2×D188—22no—
144C2×D188—22no—
145C2×D188—22no—
146C2×D188—22no—
147C2×D188—22no—
148C2×D188—22no—
149C2×D188—22no—
150C2×D188—22no—
151C2×D188—22no—
152C2×D188—22no—
153C2×D188—22no—
154C2×D188—22no—
155C2×D188—22no—
156C2×D188—22no—
157C2×D188—22no—
158C2×D188—41no—
159C2×D188—41no—
160C2×D188—41no—
161C2×D188—41no—
162C2×D188—41no—
163C2×D188—41no—
164C2×D188—41no—
165C2×D188—41no—
166C2×D188—41no—
167C2×D188—41no—
168C2×D188—41no—
169C2×D188—41no—
170C2×D188C4⋊C414yes—
171C2×C8×C47—22no—
172C2×C8×C47—22no—
173C2×C8×C47—22no—
174C2×C8×C47—41no—
175C2×C8×C47—41no—
176C2×C8×C47—41no—
177C2×C8×C47—41no—
178C4⋊C4×C47—22no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—22no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—41no—
183C4⋊C4×C47—41no—
184C4⋊C4×C47—41no—
185C4⋊C4×C47—41no—
186(C2×D47)⋊C4—416no—
187C4⋊Dic47—22no—
188C4⋊Dic47—22no—
189C4⋊Dic47—41no—
190C4⋊Dic47—41no—
191C4×Dic47—41no—
192C4×Dic47—41no—
193C4×Dic47—41no—
194C4×Dic47—41no—
195C2×C47⋊C8—22no—
196C2×C47⋊C8—22no—
197C2×C47⋊C8—22no—
198C2×C47⋊C8—22no—
199C2×C47⋊C8—22no—
200C2×C47⋊C8—22no—
201C2×C47⋊C8C22⋊C414yescomplemented
202C23×C47C4×D411yescharacteristic
203C23×C47#12011yescharacteristic
204C23×C47#12111yescharacteristic
205C23×C47#12111yescharacteristic
206C23×C47C22⋊Q811yescharacteristic
207C23×C47#12311yescharacteristic
208C23×C47#12711yescharacteristic
209C23×C47C2×SD1612yes—
210C23×C47#13512yes—
211C23×C47AGL(1,ℤ/8)12yes—
212C23×C47AGL(1,ℤ/8)12yes—
213C22×D47—24no—
214C22×D47—42no—
215C22×D47—42no—
216C22×D47—42no—
217C22×D47—42no—
218C22×D47—42no—
219C22×D47—42no—
220C22×D47—44no—
221C22×D47—44no—
222C22×D47—44no—
223C22×D47—44no—
224C22×D47—44no—
225C22×D47—44no—
226C22×D47—82no—
227C22×D47—82no—
228C22×D47—82no—
229C22×D47—82no—
230C22×D47—82no—
231C22×D47—82no—
232C22×D47—81no—
233C22×D47—81no—
234C22×D47—81no—
235C22×D47—81no—
236C2×C4×C47—42no—
237C2×C4×C47—42no—
238C2×C4×C47—44no—
239C2×C4×C47—44no—
240C2×C4×C47—82no—
241C2×C4×C47—82no—
242C2×C4×C47—81no—
243C2×C4×C47—81no—
244C2×C4×C47—81no—
245C2×C4×C47—81no—
246C2×C4×C47C2×C22⋊C411yescharacteristic
247C2×C4×C47C2×C4⋊C411yescharacteristic
248C2×C4×C47#11711yescharacteristic
249C2×C4×C47C4×D411yescharacteristic
250C2×C4×C47C4×D411yescharacteristic
251C2×C4×C47C4×D411yescharacteristic
252C2×C4×C47#12011yescharacteristic
253C2×C4×C47#12011yescharacteristic
254C2×C4×C47#12111yescharacteristic
255C2×C4×C47#12111yescharacteristic
256C2×C4×C47#12111yescharacteristic
257C2×C4×C47#12111yescharacteristic
258C2×C4×C47#12111yescharacteristic
259C2×C4×C47#12111yescharacteristic
260C2×C4×C47C22⋊Q811yescharacteristic
261C2×C4×C47C22⋊Q811yescharacteristic
262C2×C4×C47C22⋊Q811yescharacteristic
263C2×C4×C47C22⋊Q811yescharacteristic
264C2×C4×C47C22⋊Q811yescharacteristic
265C2×C4×C47#12311yescharacteristic
266C2×C4×C47#12311yescharacteristic
267C2×C4×C47#12311yescharacteristic
268C2×C4×C47#12311yescharacteristic
269C2×C4×C47#12411yescharacteristic
270C2×C4×C47#12411yescharacteristic
271C2×C4×C47#12411yescharacteristic
272C2×C4×C47#12611yescharacteristic
273C2×C4×C47#12611yescharacteristic
274C2×Dic47—24no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—42no—
278C2×Dic47—42no—
279C2×Dic47—42no—
280C2×Dic47—42no—
281C2×Dic47—42no—
282C2×Dic47—44no—
283C2×Dic47—82no—
284C2×Dic47—81no—
285C2×Dic47—81no—
286D188—24no—
287D188—24no—
288D188—42no—
289D188—42no—
290D188—42no—
291D188—42no—
292D188—42no—
293D188—42no—
294C8×C47—42no—
295C47⋊C8—24no—
296#11121—471nomaximal, Sylow
297C22×C47#38511yescharacteristic
298C22×C47#38811yescharacteristic
299C22×C47#39011yescharacteristic
300C22×C47#39211yescharacteristic
301C22×C47#39411yescharacteristic
302C22×C47#39611yescharacteristic
303C22×C47#39911yescharacteristic
304C22×C47C4×SD1612yes—
305C22×C47#44212yes—
306C22×C47#44912yes—
307C22×C47#45012yes—
308C22×C47#46012yes—
309C22×C47#46312yes—
310C22×C47#46512yes—
311C22×C47#46912yes—
312C22×C47#47612yes—
313C22×C47#47812yes—
314C22×C47#48112yes—
315C22×C47#48212yes—
316C22×C47#49211yescharacteristic
317C22×C47#49511yescharacteristic
318C22×C47#49611yescharacteristic
319C22×C47#49611yescharacteristic
320C2×D47—48no—
321C2×D47—44no—
322C2×D47—84no—
323C2×D47—82no—
324C2×D47—82no—
325C2×D47—84no—
326C2×D47—82no—
327C2×D47—82no—
328C2×D47—82no—
329C2×D47—82no—
330C2×D47—84no—
331C4×C47—82no—
332C4×C47—82no—
333C4×C47#38011yescharacteristic
334C4×C47#38511yescharacteristic
335C4×C47#38611yescharacteristic
336C4×C47#38811yescharacteristic
337C4×C47#39311yescharacteristic
338C4×C47#39411yescharacteristic
339C4×C47#39611yescharacteristic
340C4×C47#39711yescharacteristic
341Dic47—44no—
342Dic47—82no—
343C22×#106—471no—
344C22×#102—471no—
345C22×#102—471no—
346C2×#390—471no—
347C2×#340D4711yescharacteristic, complemented
348C2×#336—471no—
349C4⋊#95—471no—
350C2×C47#143911yescharacteristic
351C2×C47#186412yes—
352C2×C47#192612yes—
353C2×C47#196811yescharacteristic
354C2×C47#197211yescharacteristic
355C2×C47#201211yescharacteristic
356C2×C47#201411yescharacteristic
357C2×C47#203412yes—
358C2×C47#206512yes—
359C2×C47#209211yescharacteristic
360C2×C47#209411yescharacteristic
361D47—84no—
362C23×D4—471no—
363C23×C8—471no—
364C23×C8C2×D4711yescharacteristic
365C22×C4⋊C4—471no—
366C22×C4⋊C4C2×D4711yescharacteristic
367C22×C4⋊C4C2×D4711yescharacteristic
368C22×C22⋊C4—942no—
369C22×C42—471no—
370C2×#106—942no—
371C2×#106—942no—
372C2×#106—942no—
373C2×#102—474no—
374C2×#102—942no—
375C2×#102—942no—
376C2×#102—942no—
377C2×#102—942no—
378C2×#102—942no—
379#390—942no—
380#390—942no—
381C2×#95—942no—
382#340—22no—
383#336—942no—
384C47#1112111yescharacteristic, complemented, Sylow
385C25—941no—
386C22×D4—472no—
387C22×D4—472no—
388C22×D4—472no—
389C22×D4—941no—
390C22×D4—941no—
391C22×D4—941no—
392C22×D4—941no—
393C22×D4—941no—
394C22×D4—941no—
395C22×D4—941no—
396C22×D4—941no—
397C22×D4—941no—
398C22×D4—941no—
399C22×D4—941no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—472no—
403C23×C4—941no—
404C23×C4C22×D4711yescharacteristic
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—21no—
410C22×C8—21no—
411C22×C8—472no—
412C22×C8—472no—
413C22×C8—472no—
414C22×C8—941no—
415C22×C8—941no—
416C22×C8—941no—
417C22×C8—941no—
418C22×C8C22⋊D4712yes—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—472no—
430C2×C4⋊C4—941no—
431C2×C4⋊C4—941no—
432C2×C4⋊C4—941no—
433C2×C4⋊C4—941no—
434C2×C4⋊C4—941no—
435C2×C4⋊C4C4×D4712yes—
436C2×C4⋊C4D18812yes—
437C2×C22⋊C4—948no—
438C2×C22⋊C4—1884no—
439C2×C22⋊C4—1884no—
440C2×C42—941no—
441C2×C42—941no—
442C2×C42—941no—
443C2×C42—941no—
444C2×C42—941no—
445C2×C42—941no—
446#106—948no—
447#102—948no—
448#102—948no—
449#95—1884no—
450C24—942no—
451C24—942no—
452C24—942no—
453C24—1881no—
454C24—1881no—
455C24—1881no—
456C24—1881no—
457C24—1882no—
458C24—1882no—
459C24—1882no—
460C24—1882no—
461C24D4×D4711yescharacteristic
462C2×D4—474no—
463C2×D4—942no—
464C2×D4—942no—
465C2×D4—942no—
466C2×D4—942no—
467C2×D4—942no—
468C2×D4—942no—
469C2×D4—942no—
470C2×D4—942no—
471C2×D4—942no—
472C2×D4—942no—
473C2×D4—942no—
474C2×D4—942no—
475C2×D4—942no—
476C2×D4—942no—
477C2×D4—942no—
478C2×D4—1881no—
479C2×D4—1881no—
480C2×D4—1881no—
481C2×D4—1881no—
482C2×D4—1881no—
483C2×D4—1881no—
484C2×D4—1881no—
485C2×D4—1881no—
486C2×D4—1881no—
487C2×D4—1881no—
488C2×D4—1881no—
489C2×D4—1881no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—474no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—942no—
505C22×C4—942no—
506C22×C4—942no—
507C22×C4—942no—
508C22×C4—1881no—
509C22×C4—1881no—
510C22×C4—1882no—
511C22×C4—1882no—
512C22×C4C2×C4×D4711yescharacteristic
513C22×C4C2×D18811yescharacteristic
514C22×C4#1062535011yescharacteristic
515C22×C4#1062535011yescharacteristic
516C22×C4#1062535011yescharacteristic
517C22×C4#1062535011yescharacteristic
518C22×C4D4×D4711yescharacteristic
519C22×C4D4×D4711yescharacteristic
520C22×C4D4×D4711yescharacteristic
521C22×C4D4×D4711yescharacteristic
522C22×C4#1062535211yescharacteristic
523C22×C4Q8×D4711yescharacteristic
524C22×C4#1062535411yescharacteristic
525C22×C4C2×C22⋊D4711yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—41no—
532C2×C8—41no—
533C2×C8—474no—
534C2×C8—942no—
535C2×C8—942no—
536C2×C8—942no—
537C2×C8—942no—
538C2×C8—942no—
539C2×C8—942no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—942no—
549C4⋊C4—942no—
550C4⋊C4—1881no—
551C4⋊C4—1881no—
552C22⋊C4—18816no—
553C42—1881no—
554C42—1881no—
555C42—1881no—
556C42—1881no—
557C23—944no—
558C23—3761no—
559C23—3761no—
560C23—3761no—
561C23—3761no—
562C23—3762no—
563C23—3762no—
564C23—3762no—
565C23—3762no—
566C23—3762no—
567C23—3762no—
568C23—1884no—
569C23—1882no—
570C23—1884no—
571C23—1884no—
572C23—1882no—
573C23—1882no—
574C23—1882no—
575C23—1882no—
576C23—1882no—
577C23—1884no—
578C23—1884no—
579C23—1884no—
580C23(C22⋊D47)⋊C411yescharacteristic
581C23#1309399411yescharacteristic
582C23#1309399711yescharacteristic
583C23#1309399711yescharacteristic
584C23#1309400211yescharacteristic
585C23#1309400911yescharacteristic
586C23#1309402011yescharacteristic
587C23SD16×D4712yes—
588C23#1309404712yes—
589C23#1309404812yes—
590C23#1309405112yes—
591D4—944no—
592D4—944no—
593D4—1882no—
594D4—1882no—
595D4—1882no—
596D4—1882no—
597D4—1882no—
598D4—1882no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—81no—
607C2×C4—82no—
608C2×C4—82no—
609C2×C4—944no—
610C2×C4—944no—
611C2×C4—944no—
612C2×C4—3761no—
613C2×C4—3761no—
614C2×C4—3762no—
615C2×C4—1882no—
616C2×C4—1884no—
617C2×C4—1882no—
618C2×C4—1882no—
619C2×C4—1882no—
620C2×C4—1882no—
621C2×C4C22⋊C4×D4711yescharacteristic
622C2×C4C4⋊C4×D4711yescharacteristic
623C2×C4#1309398111yescharacteristic
624C2×C4C4×C22⋊D4711yescharacteristic
625C2×C4#1309398611yescharacteristic
626C2×C4C4×D18811yescharacteristic
627C2×C4#1309399211yescharacteristic
628C2×C4#1309399411yescharacteristic
629C2×C4#1309399611yescharacteristic
630C2×C4#1309399711yescharacteristic
631C2×C4#1309399711yescharacteristic
632C2×C4#1309399711yescharacteristic
633C2×C4#1309399811yescharacteristic
634C2×C4#1309399911yescharacteristic
635C2×C4#1309400011yescharacteristic
636C2×C4#1309400211yescharacteristic
637C2×C4#1309400211yescharacteristic
638C2×C4#1309400211yescharacteristic
639C2×C4#1309400411yescharacteristic
640C2×C4#1309400611yescharacteristic
641C2×C4#1309400711yescharacteristic
642C2×C4#1309400911yescharacteristic
643C2×C4#1309400911yescharacteristic
644C2×C4#1309401011yescharacteristic
645C2×C4#1309401011yescharacteristic
646C2×C4#1309401211yescharacteristic
647C2×C4#1309401811yescharacteristic
648C2×C4#1309401911yescharacteristic
649C8—42no—
650C8—944no—
651C22—3762no—
652C22—3764no—
653C22—3762no—
654C22—3764no—
655C22—3764no—
656C22—3762no—
657C22—3762no—
658C22—3762no—
659C22—3762no—
660C22—1888no—
661C22—1884no—
662C22#1568899711yescharacteristic
663C22#1568901211yescharacteristic
664C22#1568902311yescharacteristic
665C22#1568903211yescharacteristic
666C22#1568904111yescharacteristic
667C22#1568904711yescharacteristic
668C22#1568905811yescharacteristic
669C22#1568920812yes—
670C22#1568923212yes—
671C22#1568927112yes—
672C22#1568927512yes—
673C22#1568932212yes—
674C22#1568934112yes—
675C22#1568935512yes—
676C22#1568937512yes—
677C22#1568941212yes—
678C22#1568942612yes—
679C22#1568944312yes—
680C22#1568945012yes—
681C22#1568949411yescharacteristic
682C22#1568950811yescharacteristic
683C22#1568950911yescharacteristic
684C22#1568951111yescharacteristic
685C4—82no—
686C4—82no—
687C4—3762no—
688C4—1884no—
689C4#1568898211yescharacteristic
690C4#1568899411yescharacteristic
691C4#1568900111yescharacteristic
692C4#1568901411yescharacteristic
693C4#1568903611yescharacteristic
694C4#1568903811yescharacteristic
695C4#1568904511yescharacteristic
696C4#1568905211yescharacteristic
697C2—3764no—
698C2#2024163211yescharacteristic
699C2#2024365012yes—
700C2#2024401312yes—
701C2#2024423911yescharacteristic
702C2#2024426111yescharacteristic
703C2#2024446611yescharacteristic
704C2#2024447711yescharacteristic
705C2#2024458012yes—
706C2#2024476312yes—
707C2#2024490611yescharacteristic
708C2#2024491811yescharacteristic
subgroupG/H
centerC24D4×D47
commutatorC22×C4×C47C22×C4
FrattiniC23×C4C22×D47
FittingC2×C47×#340C2
socleC24×C47C2×D4
prime radicalC23×D188C22
cosocleC23×C4×C47C23
hypercenterC2×#340D47
hypocenterC47#11121
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
1. C22×#13093955C2semidirect
5. C2×#15688877C2semidirect
6. #20241617C2semidirect
7. C2×C47×#340C2semidirect
21. C2×#13093944C4semidirect
201. C2×C47⋊C8C22⋊C4semidirect
347. C2×#340D47semidirect
384. C47#11121semidirect

Maximal subgroups

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

subgroupindex
C22×#130939552
C22×#130939462
C22×#130939442
C2×#156890242
C2×#156888772
#202416172
C2×C47×#3402
#1112147