Finite Group Databasebeta

← #26264485

Subgroups — #26264485

Order 12032.

940 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689451C211yesmaximal, characteristic, complemented
2C2×#15689354C211yesmaximal, characteristic
3#20247859C211yesmaximal, characteristic
4#20244864C211yesmaximal, characteristic, complemented
5#20244796C211yesmaximal, characteristic, complemented
6#20244759C211yesmaximal, characteristic, complemented
7#20244703C211yesmaximal, characteristic, complemented
8#20244151C211yesmaximal, characteristic, complemented
9#20244015C211yesmaximal, characteristic, complemented
10#20243743C211yesmaximal, characteristic, complemented
11#20243705C211yesmaximal, characteristic
12#20243568C211yesmaximal, characteristic, complemented
13#20243393C211yesmaximal, characteristic, complemented
14C2×#15688885C211yesmaximal, characteristic, complemented
15C47×#2360C211yesmaximal, characteristic, complemented
16C22×#10625336C2211yescharacteristic
17C23×C47⋊C8C2211yescharacteristic
18C2×#13094008—21no—
19C2×#13094008—21no—
20C2×#13093998C2211yescharacteristic
21C22×C4⋊Dic47C2211yescharacteristic
22#15689451—24no—
23#15689354—24no—
24C2×#13093955C2211yescharacteristic
25C2×#13093955C2211yescharacteristic
26C2×#13093955C2211yescharacteristic
27C2×C4⋊(C47⋊C8)C2211yescharacteristic
28C2×C4⋊(C47⋊C8)C2211yescharacteristic
29C2×#13093948C2211yescharacteristic
30C2×#13093948C2211yescharacteristic
31C2×#13093948C2211yescharacteristic
32C2×#13093944C2211yescharacteristic
33C2×#13093944C2211yescharacteristic
34C2×#13093944C2211yescharacteristic
35C2×C22⋊(C47⋊C8)C2211yescharacteristic
36#15689060—21no—
37#15689060—21no—
38#15689025C2211yescharacteristic
39#15689025C2211yescharacteristic
40#15688993C2211yescharacteristic
41#15688993C2211yescharacteristic
42#15688885C2211yescharacteristic
43#15688885C2211yescharacteristic
44#15688885C2211yescharacteristic
45#15688885C2211yescharacteristic
46#15688885C2211yescharacteristic
47#15688885C2211yescharacteristic
48#15688878C2211yescharacteristic
49#15688878C2211yescharacteristic
50C2×C22⋊Q8×C47C2211yescharacteristic
51C2×C4×Q8×C47C2211yescharacteristic
52C22×C4⋊C4×C47C2211yescharacteristic
53C47×#391C2211yescharacteristic
54C47×#389—21no—
55C47×#389C2211yescharacteristic
56C47×#387—21no—
57C47×#385—21no—
58C4×C4⋊C4×C47C2211yescharacteristic
59C4×C22⋊C4×C47—21no—
60C4×C22⋊C4×C47C2211yescharacteristic
61C22×D188C2311yescharacteristic
62C22×C22⋊D47—21no—
63C23×Dic47—21no—
64C2×#10625336—22no—
65C2×#10625336—22no—
66C2×#10625336—41no—
67C22×C47⋊C8—22no—
68C22×C47⋊C8—22no—
69C22×C47⋊C8—41no—
70C22×C47⋊C8C2311yescharacteristic
71C22×C47⋊C8C2311yescharacteristic
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74#13094008—44no—
75#13094008—44no—
76#13093998—22no—
77#13093998—22no—
78C2×C4⋊Dic47—22no—
79C2×C4⋊Dic47—22no—
80C2×C4⋊Dic47—21no—
81C2×C4⋊Dic47—21no—
82C2×C4⋊Dic47—21no—
83C2×C4⋊Dic47—21no—
84C2×C4⋊Dic47—21no—
85C2×C4⋊Dic47C2311yescharacteristic
86C2×C4⋊Dic47C2311yescharacteristic
87C2×C4⋊Dic47C2311yescharacteristic
88C2×(C2×D47)⋊C4—21no—
89C2×(C2×D47)⋊C4—21no—
90C2×(C2×D47)⋊C4—21no—
91C2×(C2×D47)⋊C4—21no—
92C2×(C2×D47)⋊C4—21no—
93#13093955—22no—
94#13093955—22no—
95#13093955—22no—
96C4⋊(C47⋊C8)—22no—
97C4⋊(C47⋊C8)—41no—
98#13093948—22no—
99#13093948—22no—
100#13093948—22no—
101#13093944—22no—
102#13093944—22no—
103#13093944—41no—
104C22⋊(C47⋊C8)—22no—
105C22×Q8×C47C2311yescharacteristic
106C23×C4×C47—21no—
107C23×C4×C47C2311yescharacteristic
108C22⋊Q8×C47—22no—
109C22⋊Q8×C47D414yes—
110C4×Q8×C47—22no—
111C4×Q8×C47—41no—
112C2×C4⋊C4×C47—21no—
113C2×C4⋊C4×C47—22no—
114C2×C4⋊C4×C47—21no—
115C2×C4⋊C4×C47—21no—
116C2×C4⋊C4×C47—21no—
117C2×C4⋊C4×C47—41no—
118C2×C4⋊C4×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C22⋊C4×C47—21no—
122C2×C22⋊C4×C47D411yescharacteristic
123C2×C22⋊C4×C47D411yescharacteristic
124C2×C42×C47—21no—
125C2×C42×C47—21no—
126C2×C42×C47C2311yescharacteristic
127C2×C42×C47C2311yescharacteristic
128#95×C47—21no—
129#95×C47—21no—
130#95×C47—21no—
131#95×C47—21no—
132#95×C47D411yescharacteristic
133#95×C47D411yescharacteristic
134C24×C47C2×D411yescharacteristic
135C23×D47—21no—
136C2×Q8×C47—21no—
137C2×Q8×C47—21no—
138C2×Q8×C47—21no—
139C2×Q8×C47—21no—
140C2×Q8×C47—21no—
141C2×Q8×C47C2×D412yes—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—42no—
151C22×C4×C47—42no—
152C22×C4×C47—81no—
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D412yes—
157C22×C4×C47C2×D411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47#4112yes—
160C22×C4×C47C2411yescharacteristic
161C2×C22⋊D47—42no—
162C2×C22⋊D47—42no—
163C2×C22⋊D47—42no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—42no—
168C22×Dic47—42no—
169C22×Dic47—42no—
170C2×D188—21no—
171C2×D188—21no—
172C2×D188—21no—
173C2×D188—21no—
174C2×D188—21no—
175C2×D188—21no—
176C4⋊C4×C47—24no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—42no—
182C4⋊C4×C47—42no—
183C4⋊C4×C47—81no—
184C4⋊C4×C47C2×D412yes—
185C4⋊C4×C47#4112yes—
186C22⋊C4×C47—24no—
187C22⋊C4×C47—22no—
188C22⋊C4×C47SD1614yescomplemented
189C42×C47—21no—
190C42×C47—21no—
191C42×C47—21no—
192C42×C47—21no—
193C42×C47—42no—
194C42×C47—81no—
195#10625336—44no—
196(C2×D47)⋊C4—42no—
197(C2×D47)⋊C4—42no—
198(C2×D47)⋊C4—42no—
199(C2×D47)⋊C4—42no—
200(C2×D47)⋊C4—42no—
201C4⋊Dic47—21no—
202C4⋊Dic47—21no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—42no—
208C4⋊Dic47—42no—
209C4⋊Dic47—42no—
210C4⋊Dic47—42no—
211C4⋊Dic47—42no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
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—44no—
224C2×C47⋊C8#4112yes—
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47#12112yes—
230C23×C47C2×SD1612yes—
231C23×C47AGL(1,ℤ/8)12yes—
232C23×C47C22×D411yescharacteristic
233C22×D47—41no—
234C22×D47—41no—
235C22×D47—41no—
236C22×D47—41no—
237C22×D47—41no—
238C22×D47—41no—
239C22×D47—41no—
240Q8×C47—22no—
241Q8×C47—22no—
242Q8×C47—41no—
243Q8×C47—41no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—21no—
257C2×C4×C47—22no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—21no—
262C2×C4×C47—21no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
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#12112yes—
274C2×C4×C47C2×SD1612yes—
275C2×C4×C47C2×SD1612yes—
276C2×C4×C47C22×D411yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C2×C4×C47C2×#4111yescharacteristic
279C2×C4×C47C2×#4111yescharacteristic
280C2×C4×C47H(5,𝔽2)11yescharacteristic
281C2×C4×C472−1+411yescharacteristic
282C22⋊D47—84no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—84no—
293D188—41no—
294D188—41no—
295D188—41no—
296D188—41no—
297C47⋊C8—22no—
298C47⋊C8—41no—
299C47⋊C8—41no—
300C47⋊C8—41no—
301#25204—471nomaximal, Sylow
302C22×C47—22no—
303C22×C47—22no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47—22no—
307C22×C47—22no—
308C22×C47#46014yes—
309C22×C47C2×#12111yescharacteristic
310C22×C47#54611yescharacteristic
311C22×C47#54711yescharacteristic
312C22×C47C22×SD1611yescharacteristic
313C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C47#57711yescharacteristic
315C22×C47#57811yescharacteristic
316C2×D47—81no—
317C2×D47—81no—
318C2×D47—81no—
319C2×D47—81no—
320C2×D47—81no—
321C2×D47—81no—
322C2×D47—81no—
323C4×C47—22no—
324C4×C47—22no—
325C4×C47—22no—
326C4×C47—41no—
327C4×C47—42no—
328C4×C47—42no—
329C4×C47—41no—
330C4×C47—42no—
331C4×C47—81no—
332C4×C47#52911yescharacteristic
333C4×C47#53911yescharacteristic
334C4×C47#54611yescharacteristic
335C4×C47#54711yescharacteristic
336Dic47—81no—
337Dic47—81no—
338Dic47—81no—
339C2×#483—471no—
340C2×#465—471no—
341#2501—471no—
342#2360D4711yescharacteristic, complemented
343#2084—471no—
344#2072—471no—
345#2065—471no—
346#2055—471no—
347#1948—471no—
348#1926—471no—
349#1880—471no—
350#1874—471no—
351#1850—471no—
352#1803—471no—
353C2×#340—471no—
354C2×C47—24no—
355C2×C47#242511yescharacteristic
356C2×C47C2×#46011yescharacteristic
357C2×C47#304611yescharacteristic
358C2×C47#329811yescharacteristic
359C2×C47#330611yescharacteristic
360C2×C47#333511yescharacteristic
361C2×C47#334311yescharacteristic
362D47—161no—
363C22×SD16—471no—
364C23×C8—471no—
365C2×#123—941no—
366C2×#123—941no—
367C2×C22⋊Q8C2×D4711yescharacteristic
368C2×#121—471no—
369C2×C4×Q8C2×D4711yescharacteristic
370C22×C4⋊C4—471no—
371C22×C4⋊C4C2×D4711yescharacteristic
372#483—944no—
373#465—944no—
374C2×#106—471no—
375C2×#106—471no—
376C2×#106—471no—
377C2×C4⋊C8—471no—
378C2×C4⋊C8—471no—
379C2×#103—471no—
380C2×#103—471no—
381C2×#103—471no—
382C2×#102—471no—
383C2×#102—471no—
384C2×#102—471no—
385C2×C22⋊C8—471no—
386#399—941no—
387#399—941no—
388#391C2×D4711yescharacteristic
389#390—471no—
390#390—471no—
391#389—21no—
392#389C2×D4711yescharacteristic
393#387—21no—
394#385—21no—
395#384—471no—
396#384—471no—
397C4×C4⋊C4C2×D4711yescharacteristic
398C4×C22⋊C4—21no—
399C4×C22⋊C4C2×D4711yescharacteristic
400#340—471no—
401#340—471no—
402#340—471no—
403#340—471no—
404#340—471no—
405#340—471no—
406#336—471no—
407#336—471no—
408C47#2520411yescharacteristic, complemented, Sylow
409C22×Q8C22×D4711yescharacteristic
410C22×D4—471no—
411C22×D4—941no—
412C23×C4—21no—
413C23×C4—941no—
414C23×C4C22×D4711yescharacteristic
415C2×SD16—942no—
416C2×SD16—942no—
417C2×SD16—1881no—
418C22×C8—471no—
419C22×C8—471no—
420C22×C8—471no—
421C22×C8—471no—
422C22×C8—942no—
423C22×C8—942no—
424C22×C8—1881no—
425#123—1884no—
426#123—1884no—
427C22⋊Q8—22no—
428C22⋊Q8D18814yes—
429#121—942no—
430#121—942no—
431C4×Q8—22no—
432C4×Q8—41no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—41no—
439C2×C4⋊C4—471no—
440C2×C4⋊C4—471no—
441C2×C4⋊C4—471no—
442C2×C4⋊C4—942no—
443C2×C4⋊C4—942no—
444C2×C4⋊C4—941no—
445C2×C4⋊C4—941no—
446C2×C4⋊C4—941no—
447C2×C4⋊C4—941no—
448C2×C4⋊C4—941no—
449C2×C4⋊C4C22×D4711yescharacteristic
450C2×C4⋊C4C22×D4711yescharacteristic
451C2×C4⋊C4C22×D4711yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—941no—
454C2×C22⋊C4—941no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4C22⋊D4711yescharacteristic
459C2×C22⋊C4C22⋊D4711yescharacteristic
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D4711yescharacteristic
463C2×C42C22×D4711yescharacteristic
464#106—942no—
465#106—942no—
466#106—942no—
467C4⋊C8—942no—
468C4⋊C8—1881no—
469#103—942no—
470#103—942no—
471#103—942no—
472#102—942no—
473#102—942no—
474#102—1881no—
475C22⋊C8—942no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95C22⋊D4711yescharacteristic
481#95C22⋊D4711yescharacteristic
482C24—941no—
483C24C2×C22⋊D4711yescharacteristic
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8C2×D18812yes—
490C2×D4—941no—
491C2×D4—941no—
492C2×D4—941no—
493C2×D4—941no—
494C2×D4—941no—
495C2×D4—941no—
496C2×D4—1882no—
497C2×D4—1882no—
498C2×D4—1882no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—941no—
511C22×C4—941no—
512C22×C4—941no—
513C22×C4—1882no—
514C22×C4—1882no—
515C22×C4—1882no—
516C22×C4C2×D18812yes—
517C22×C4#1062535012yes—
518C22×C4C2×C22⋊D4711yescharacteristic
519C22×C4C2×C22⋊D4711yescharacteristic
520C22×C4C2×C22⋊D4711yescharacteristic
521C22×C4C2×C22⋊D4711yescharacteristic
522C22×C4C2×C22⋊D4711yescharacteristic
523C22×C4C23×D4711yescharacteristic
524SD16—1884no—
525C2×C8—472no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8—941no—
531C2×C8—941no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8—941no—
537C2×C8—1884no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—81no—
546C4⋊C4—941no—
547C4⋊C4—941no—
548C4⋊C4—941no—
549C4⋊C4—941no—
550C4⋊C4—941no—
551C4⋊C4—941no—
552C4⋊C4—1882no—
553C4⋊C4—1882no—
554C4⋊C4—1882no—
555C4⋊C4—1882no—
556C4⋊C4—1882no—
557C4⋊C4C2×D18812yes—
558C4⋊C4#1062535212yes—
559C22⋊C4—24no—
560C22⋊C4—22no—
561C22⋊C4—1882no—
562C22⋊C4—1882no—
563C22⋊C4—1882no—
564C22⋊C4—1882no—
565C22⋊C4—1882no—
566C22⋊C4#1062533614yescomplemented
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—81no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—1881no—
578C23—1881no—
579C23—1881no—
580C23—1881no—
581C23—1881no—
582C23—1881no—
583C23—1881no—
584C23#1309399812yes—
585C23C2×#1062533612yes—
586C23#1309404912yes—
587C23C22×C22⋊D4711yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—3764no—
593D4—1881no—
594D4—1881no—
595D4—1881no—
596D4—1881no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—84no—
626C2×C4—3764no—
627C2×C4—1881no—
628C2×C4—1881no—
629C2×C4—1881no—
630C2×C4—1881no—
631C2×C4—1881no—
632C2×C4—1881no—
633C2×C4—1881no—
634C2×C4—1881no—
635C2×C4—1881no—
636C2×C4#1309399812yes—
637C2×C4C2×#1062533612yes—
638C2×C4C2×#1062533612yes—
639C2×C4C22×D18811yescharacteristic
640C2×C4#41×D4711yescharacteristic
641C2×C4C2×#1062535211yescharacteristic
642C2×C4C2×#1062535011yescharacteristic
643C2×C4#1309406911yescharacteristic
644C2×C4#1309407111yescharacteristic
645C8—942no—
646C8—1881no—
647C8—1881no—
648C8—1881no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—3761no—
656C22—3761no—
657C22—3761no—
658C22—3761no—
659C22—3761no—
660C22—3761no—
661C22—3761no—
662C22#1568932314yes—
663C22C2×#1309399811yescharacteristic
664C22#1568976711yescharacteristic
665C22#1568977211yescharacteristic
666C22C22×#1062533611yescharacteristic
667C22C2×#1309404911yescharacteristic
668C22#1568993411yescharacteristic
669C22#1568993811yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—42no—
678C4—81no—
679C4—3761no—
680C4—3761no—
681C4—3761no—
682C4#1568965311yescharacteristic
683C4#1568971511yescharacteristic
684C4#1568976811yescharacteristic
685C4#1568977711yescharacteristic
686C2—24no—
687C2—7521no—
688C2#2024693311yescharacteristic
689C2C2×#1568932311yescharacteristic
690C2#2025293811yescharacteristic
691C2#2025525311yescharacteristic
692C2#2025534911yescharacteristic
693C2#2025573911yescharacteristic
694C2#2025582811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#2360C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
hypercenter#2360D47
hypocenterC47#25204
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
1. C2×#15689451C2semidirect
4. #20244864C2semidirect
5. #20244796C2semidirect
6. #20244759C2semidirect
7. #20244703C2semidirect
8. #20244151C2semidirect
9. #20244015C2semidirect
10. #20243743C2semidirect
12. #20243568C2semidirect
13. #20243393C2semidirect
14. C2×#15688885C2semidirect
15. C47×#2360C2semidirect
188. C22⋊C4×C47SD16semidirect
342. #2360D47semidirect
408. C47#25204semidirect
566. C22⋊C4#10625336semidirect

Maximal subgroups

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

subgroupindex
C2×#156894512
C2×#156893542
#202478592
#202448642
#202447962
#202447592
#202447032
#202441512
#202440152
#202437432
#202437052
#202435682
#202433932
C2×#156888852
C47×#23602
#2520447