Finite Group Databasebeta

← C2×#20253314 #27084059

Subgroups — C2×#20253314 #27084059

Order 12032.

2650 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689635C211yesmaximal, characteristic
2C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
3#20253314C2116yesmaximal, direct product factor
4C2×#15689460C212yesmaximal, complemented
5C2×#15689443C212yesmaximal, complemented
6C2×#15689455C212yesmaximal, complemented
7C2×#15689438C212yesmaximal, complemented
8C2×#15689166C211yesmaximal, characteristic, complemented
9C2×#15689125C211yesmaximal, characteristic, complemented
10C2×#15689122C211yesmaximal, characteristic, complemented
11C2×#15689086C211yesmaximal, characteristic, complemented
12C2×C47×#428C211yesmaximal, characteristic, complemented
13C22×#10625350C2211yescharacteristic
14C23×C4×D47—21no—
15C23×C4×D47C2211yescharacteristic
16C22×#10625329C2211yescharacteristic
17#15689635—24no—
18#15689635C2218yes—
19C2×#13094008—21no—
20C2×#13094004C2211yescharacteristic
21C2×#13094004C2211yescharacteristic
22C2×#13093999C2211yescharacteristic
23C2×#13093999C2211yescharacteristic
24C2×#13093994—21no—
25C2×C4×D188—21no—
26C2×C4×D188—21no—
27C22×C4⋊Dic47C2211yescharacteristic
28C22×Dic47⋊C4—21no—
29C2×C4⋊C4×D47—24no—
30C2×C4⋊C4×D47—21no—
31C2×C4⋊C4×D47—21no—
32C2×C4⋊C4×D47C2212yes—
33C2×C4⋊C4×D47C2212yes—
34C2×C4⋊C4×D47C2218yescomplemented
35#15689460C22116yescomplemented
36#15689455C22116yescomplemented
37#15689443C22116yescomplemented
38#15689438C22116yescomplemented
39#15689166C2218yescomplemented
40C2×#13093957C2212yescomplemented
41C2×#13093955C2212yescomplemented
42#15689125C2218yescomplemented
43#15689122C2218yescomplemented
44C2×#13093949C2212yescomplemented
45C2×#13093947C2212yescomplemented
46C2×#13093946C2212yescomplemented
47C2×#13093944C2212yescomplemented
48#15689086C2218yescomplemented
49C2×(C2×D47)⋊C8C2212yes—
50C2×(C2×D47)⋊C8C2212yes—
51C22×M16×C47C2211yescharacteristic
52C2×#117×C47C2211yescharacteristic
53C22×C4⋊C4×C47C2211yescharacteristic
54C47×#428C2218yescomplemented
55C2×#107×C47C2212yescomplemented
56C2×#106×C47C2212yescomplemented
57C24×D47D411yescharacteristic
58C2×#10625350—22no—
59C2×#10625350—24no—
60C2×#10625350—24no—
61C2×#10625350C2314yes—
62C22×Dic94C2311yescharacteristic
63C22×D188—21no—
64C22×D188—21no—
65C22×D188C2311yescharacteristic
66C22×C22⋊D47—21no—
67C23×Dic47—21no—
68C23×Dic47D411yescharacteristic
69C22×C4×D47—24no—
70C22×C4×D47—24no—
71C22×C4×D47—22no—
72C22×C4×D47—22no—
73C22×C4×D47—28no—
74C22×C4×D47—21no—
75C22×C4×D47—48no—
76C22×C4×D47D411yescharacteristic
77C22×C4×D47D411yescharacteristic
78C22×C4×D47D414yes—
79C22×C4×D47C2311yescharacteristic
80C22×C4×D47C2311yescharacteristic
81C22×C4×D47C2314yes—
82C2×#10625329—24no—
83C2×#10625329C2314yes—
84C22×C47⋊C8C2312yes—
85#13094008—28no—
86#13094004—22no—
87#13094004—22no—
88#13094004C2314yes—
89#13094004C2314yes—
90#13093999—22no—
91#13093999—22no—
92#13093999C2314yes—
93#13093999C2314yes—
94#13093994—28no—
95C4×D188—28no—
96C4×D188—28no—
97C2×C4⋊Dic47—21no—
98C2×C4⋊Dic47—22no—
99C2×C4⋊Dic47—21no—
100C2×C4⋊Dic47—21no—
101C2×C4⋊Dic47C2312yes—
102C2×C4⋊Dic47C2314yes—
103C2×Dic47⋊C4—22no—
104C2×Dic47⋊C4—22no—
105C2×Dic47⋊C4—28no—
106C4⋊C4×D47—24no—
107C4⋊C4×D47—24no—
108C4⋊C4×D47—28no—
109C4⋊C4×D47—28no—
110C4⋊C4×D47C2318yes—
111C4⋊C4×D47C2318yes—
112C2×(C2×D47)⋊C4—21no—
113C2×(C2×D47)⋊C4—21no—
114C2×(C2×D47)⋊C4—21no—
115C2×(C2×D47)⋊C4—21no—
116#13093957C2318yescomplemented
117#13093955C2318yescomplemented
118#13093949C2318yescomplemented
119#13093947C2318yescomplemented
120#13093946C2318yescomplemented
121#13093944C2318yescomplemented
122(C2×D47)⋊C8C2318yes—
123(C2×D47)⋊C8C2318yes—
124C23×C4×C47—21no—
125C23×C4×C47C2311yescharacteristic
126C2×M16×C47—24no—
127C2×M16×C47C2314yes—
128C22×C8×C47C2312yes—
129#117×C47—22no—
130#117×C47C2314yes—
131C2×C4⋊C4×C47—21no—
132C2×C4⋊C4×C47—22no—
133C2×C4⋊C4×C47C2312yes—
134C2×C4⋊C4×C47C2314yes—
135C2×C4⋊C4×C47C2311yescharacteristic
136C2×C4⋊C4×C47C2311yescharacteristic
137C2×C22⋊C4×C47—21no—
138C2×C42×C47—21no—
139#107×C47C2318yescomplemented
140#106×C47C2318yescomplemented
141C24×C47C2×D411yescharacteristic
142C23×D47—24no—
143C23×D47—24no—
144C23×D47—24no—
145C23×D47—21no—
146C23×D47C2×D414yes—
147C23×D47C2×D411yescharacteristic
148C23×D47C2×D411yescharacteristic
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—24no—
152C22×C4×C47—22no—
153C22×C4×C47—44no—
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D412yes—
156C22×C4×C47#4114yes—
157C22×C4×C47#4114yes—
158C22×C4×C47C2411yescharacteristic
159C22×C4×C47C2412yes—
160C2×C22⋊D47—24no—
161C2×C22⋊D47—44no—
162C22×Dic47—24no—
163C22×Dic47—21no—
164C22×Dic47—24no—
165C22×Dic47—22no—
166C22×Dic47—44no—
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D414yes—
170#10625350—28no—
171#10625350—28no—
172#10625350—48no—
173C2×D188—22no—
174C2×D188—22no—
175C2×D188—24no—
176C2×D188—24no—
177C2×D188—21no—
178C2×D188—44no—
179C2×D188—44no—
180C2×D188C2412yes—
181C2×C4×D47—24no—
182C2×C4×D47—24no—
183C2×C4×D47—216no—
184C2×C4×D47—22no—
185C2×C4×D47—22no—
186C2×C4×D47—28no—
187C2×C4×D47—22no—
188C2×C4×D47—22no—
189C2×C4×D47—28no—
190C2×C4×D47—28no—
191C2×C4×D47—28no—
192C2×C4×D47—24no—
193C2×C4×D47—48no—
194C2×C4×D47—432no—
195C2×C4×D47—48no—
196C2×C4×D47—44no—
197C2×C4×D47C2×D414yes—
198C2×C4×D47C2×D414yes—
199C2×C4×D47C2×D412yes—
200C2×C4×D47C2×D412yes—
201C2×C4×D47C2412yes—
202C2×C4×D47C2412yes—
203C2×Dic94—22no—
204C2×Dic94—22no—
205C2×Dic94—21no—
206C2×Dic94C2412yes—
207M16×C47—28no—
208C2×C8×C47—24no—
209C2×C8×C47C2414yes—
210C4⋊C4×C47—24no—
211C4⋊C4×C47—22no—
212C4⋊C4×C47—21no—
213C4⋊C4×C47—21no—
214C4⋊C4×C47C2412yes—
215C4⋊C4×C47C2414yes—
216C4⋊C4×C47C2412yes—
217C22⋊C4×C47—24no—
218C42×C47—24no—
219(C2×D47)⋊C4—24no—
220(C2×D47)⋊C4—24no—
221(C2×D47)⋊C4—24no—
222(C2×D47)⋊C4—24no—
223C4⋊Dic47—24no—
224C4⋊Dic47—22no—
225C4⋊Dic47—24no—
226C4⋊Dic47—24no—
227C4⋊Dic47C2414yes—
228Dic47⋊C4—28no—
229Dic47⋊C4—28no—
230#10625329—28no—
231C2×C47⋊C8—24no—
232C2×C47⋊C8C2414yes—
233C23×C47—22no—
234C23×C47—22no—
235C23×C47#12314yes—
236C23×C47C22×D412yes—
237C23×C47C22×D411yescharacteristic
238C22×D47—232no—
239C22×D47—28no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—22no—
244C22×D47—28no—
245C22×D47—28no—
246C22×D47—22no—
247C22×D47—42no—
248C22×D47—42no—
249C22×D47—42no—
250C22×D47AGL(1,ℤ/8)14yes—
251C22×D47#13714yes—
252C22×D47C22×D412yes—
253C22×D47C22×D412yes—
254C2×C4×C47—24no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—48no—
258C2×C4×C47—44no—
259C2×C4×C47—42no—
260C2×C4×C47—42no—
261C2×C4×C47#12314yes—
262C2×C4×C47#12318yes—
263C2×C4×C47C22×D412yes—
264C2×C4×C47C22×D411yescharacteristic
265C2×C4×C47C2×#4112yes—
266C2×C4×C47C2×#4114yes—
267C2×C4×C47C2×#4112yes—
268C2×C4×C47C2×#4114yes—
269C2×C4×C47C2511yescharacteristic
270C22⋊D47—48no—
271C2×Dic47—28no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—24no—
275C2×Dic47—22no—
276C2×Dic47—48no—
277C2×Dic47—42no—
278C2×Dic47—44no—
279C2×Dic47C22×D412yes—
280C2×Dic47C22×D412yes—
281D188—22no—
282D188—22no—
283D188—48no—
284D188—48no—
285D188—42no—
286C4×D47—24no—
287C4×D47—24no—
288C4×D47—28no—
289C4×D47—28no—
290C4×D47—22no—
291C4×D47—22no—
292C4×D47—22no—
293C4×D47—22no—
294C4×D47—416no—
295C4×D47—416no—
296C4×D47—48no—
297Dic94—22no—
298Dic94—22no—
299Dic94—42no—
300C8×C47—24no—
301C47⋊C8—24no—
302C2×#3092—471nomaximal, Sylow
303C22×C47—28no—
304C22×C47—22no—
305C22×C47—22no—
306C22×C47C2×#12314yes—
307C22×C47C2×#12312yes—
308C22×C47C2×AGL(1,ℤ/8)12yes—
309C22×C47C2×#13712yes—
310C22×C47C23×D411yescharacteristic
311C2×D47—232no—
312C2×D47—28no—
313C2×D47—28no—
314C2×D47—22no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47—22no—
318C2×D47—42no—
319C2×D47—42no—
320C2×D47—42no—
321C2×D47—84no—
322C2×D47C2×AGL(1,ℤ/8)14yes—
323C2×D47C2×#13714yes—
324C4×C47—44no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47C2×#12312yes—
328C4×C47C2×#12314yes—
329C4×C47C22×#4111yescharacteristic
330C4×C47C22×#4111yescharacteristic
331Dic47—22no—
332Dic47—22no—
333Dic47—42no—
334Dic47—44no—
335C2×#525—471no—
336C23×C4⋊C4—471no—
337#3092—4716no—
338C2×#484—472no—
339C2×#481—472no—
340C2×#483—472no—
341C2×#480—472no—
342C2×#428—471no—
343C2×#428D4711yescharacteristic, complemented
344C2×#417—471no—
345C2×#417—471no—
346C2×#407—471no—
347C2×C47—24no—
348C2×C47#309214yescomplemented
349C2×C47C22×#12311yescharacteristic
350C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
351C2×C47C22×#13711yescharacteristic
352D47—24no—
353D47—24no—
354D47—82no—
355C22×#41—471no—
356C24×C4—471no—
357C24×C4—941no—
358C22×M16—471no—
359C22×M16C2×D4711yescharacteristic
360#525—478no—
361#525—944no—
362C2×#123—941no—
363C2×C22⋊Q8—471no—
364C2×C22⋊Q8—471no—
365C2×#121—471no—
366C2×#121—471no—
367C2×#120—941no—
368C2×C4×D4—941no—
369C2×C4×D4—941no—
370C2×#117C2×D4711yescharacteristic
371C22×C4⋊C4—471no—
372C22×C4⋊C4—472no—
373C22×C4⋊C4—472no—
374C22×C4⋊C4—478no—
375C22×C4⋊C4—941no—
376C22×C4⋊C4—941no—
377C22×C4⋊C4—944no—
378C22×C4⋊C4—941no—
379C22×C4⋊C4C2×D4711yescharacteristic
380#484—4716no—
381#483—4716no—
382#481—4716no—
383#480—4716no—
384#428—478no—
385#428C2×D4718yescomplemented
386C2×#107—472no—
387C2×#107C2×D4712yescomplemented
388C2×#106—472no—
389C2×#106C2×D4712yescomplemented
390#417—478no—
391#417—478no—
392C2×#103—472no—
393C2×#103—472no—
394C2×#102—472no—
395C2×#102—472no—
396#407—478no—
397C2×C22⋊C8—472no—
398C2×C22⋊C8—472no—
399C47C2×#309211yescharacteristic, complemented, Sylow
400C25—471no—
401C2×#41—474no—
402C2×#41—942no—
403C2×#41—944no—
404C2×#41—944no—
405C22×Q8—471no—
406C22×D4—471no—
407C22×D4—941no—
408C22×D4—941no—
409C22×D4—941no—
410C23×C4—21no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—474no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4—474no—
418C23×C4—948no—
419C23×C4—942no—
420C23×C4—942no—
421C23×C4—944no—
422C23×C4—944no—
423C23×C4—941no—
424C23×C4—941no—
425C23×C4—1888no—
426C23×C4C22×D4711yescharacteristic
427C2×M16—24no—
428C2×M16—474no—
429C2×M16—944no—
430C2×M16C22×D4714yes—
431C22×C8—472no—
432C22×C8C22×D4712yes—
433#123—948no—
434C22⋊Q8—474no—
435C22⋊Q8—474no—
436C22⋊Q8—942no—
437C22⋊Q8—942no—
438#121—474no—
439#121—474no—
440#121—942no—
441#121—942no—
442#120—948no—
443C4×D4—948no—
444C4×D4—948no—
445#117—22no—
446#117C22×D4714yes—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—472no—
450C2×C4⋊C4—474no—
451C2×C4⋊C4—478no—
452C2×C4⋊C4—478no—
453C2×C4⋊C4—948no—
454C2×C4⋊C4—948no—
455C2×C4⋊C4—944no—
456C2×C4⋊C4—944no—
457C2×C4⋊C4—948no—
458C2×C4⋊C4—942no—
459C2×C4⋊C4—942no—
460C2×C4⋊C4—941no—
461C2×C4⋊C4—941no—
462C2×C4⋊C4—942no—
463C2×C4⋊C4—941no—
464C2×C4⋊C4C22×D4712yes—
465C2×C4⋊C4C22×D4714yes—
466C2×C4⋊C4C22×D4711yescharacteristic
467C2×C4⋊C4C22×D4711yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4—941no—
472C2×C22⋊C4—941no—
473C2×C42—21no—
474#107—478no—
475#107C22×D4718yescomplemented
476#106—478no—
477#106C22×D4718yescomplemented
478#103—478no—
479#103—478no—
480#102—478no—
481#102—478no—
482C22⋊C8—478no—
483C22⋊C8—478no—
484C24—471no—
485C24—471no—
486C24—474no—
487C24—944no—
488C24—944no—
489C24—944no—
490C24—941no—
491C24D4×D4711yescharacteristic
492#41—948no—
493#41—948no—
494#41—1888no—
495C2×Q8—472no—
496C2×Q8—941no—
497C2×Q8—942no—
498C2×Q8—942no—
499C2×D4—472no—
500C2×D4—944no—
501C2×D4—944no—
502C2×D4—944no—
503C2×D4—941no—
504C2×D4—942no—
505C2×D4—942no—
506C2×D4—1884no—
507C2×D4—1884no—
508C2×D4—1884no—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—474no—
515C22×C4—471no—
516C22×C4—471no—
517C22×C4—474no—
518C22×C4—474no—
519C22×C4—472no—
520C22×C4—472no—
521C22×C4—472no—
522C22×C4—472no—
523C22×C4—948no—
524C22×C4—948no—
525C22×C4—944no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—9416no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—948no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—948no—
535C22×C4—944no—
536C22×C4—941no—
537C22×C4—942no—
538C22×C4—944no—
539C22×C4—1888no—
540C22×C4—18832no—
541C22×C4—1888no—
542C22×C4—1884no—
543C22×C4—1884no—
544C22×C4#1062535014yes—
545C22×C4D4×D4712yes—
546C22×C4D4×D4711yescharacteristic
547C22×C4#1062535414yes—
548C22×C4C23×D4712yes—
549C22×C4C23×D4711yescharacteristic
550M16—28no—
551M16—948no—
552C2×C8—24no—
553C2×C8—474no—
554C2×C8—944no—
555C2×C8C23×D4714yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—474no—
561C4⋊C4—948no—
562C4⋊C4—948no—
563C4⋊C4—944no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—942no—
567C4⋊C4C23×D4714yes—
568C4⋊C4C23×D4712yes—
569C4⋊C4C23×D4712yes—
570C22⋊C4—24no—
571C22⋊C4—944no—
572C22⋊C4—944no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C42—24no—
576C23—22no—
577C23—22no—
578C23—474no—
579C23—474no—
580C23—472no—
581C23—472no—
582C23—948no—
583C23—948no—
584C23—9432no—
585C23—948no—
586C23—942no—
587C23—942no—
588C23—942no—
589C23—942no—
590C23—942no—
591C23—1882no—
592C23—1882no—
593C23—1882no—
594C23#1309400914yes—
595C23C2×D4×D4712yes—
596C23C2×D4×D4711yescharacteristic
597Q8—942no—
598Q8—942no—
599Q8—1882no—
600D4—942no—
601D4—942no—
602D4—1888no—
603D4—1888no—
604D4—1888no—
605D4—1882no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—48no—
610C2×C4—44no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—472no—
614C2×C4—472no—
615C2×C4—948no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—948no—
619C2×C4—948no—
620C2×C4—944no—
621C2×C4—944no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—944no—
628C2×C4—18816no—
629C2×C4—18816no—
630C2×C4—1888no—
631C2×C4—1882no—
632C2×C4—1884no—
633C2×C4—1888no—
634C2×C4#1309400914yes—
635C2×C4#1309400918yes—
636C2×C4C2×D4×D4712yes—
637C2×C4C2×D4×D4711yescharacteristic
638C2×C4C2×#1062535012yes—
639C2×C4C2×#1062535014yes—
640C2×C4C2×#1062535412yes—
641C2×C4C2×#1062535414yes—
642C2×C4C24×D4711yescharacteristic
643C8—24no—
644C8—944no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—474no—
649C22—474no—
650C22—9432no—
651C22—942no—
652C22—942no—
653C22—942no—
654C22—942no—
655C22—948no—
656C22—948no—
657C22—3764no—
658C22—1882no—
659C22—1882no—
660C22—1882no—
661C22C2×#1309400914yes—
662C22C2×#1309400912yes—
663C22AGL(1,ℤ/8)×D4712yes—
664C22#137×D4712yes—
665C22C22×D4×D4711yescharacteristic
666C4—44no—
667C4—42no—
668C4—42no—
669C4—942no—
670C4—942no—
671C4—1884no—
672C4—1882no—
673C4C2×#1309400914yes—
674C4C2×#1309400912yes—
675C4C22×#1062535011yescharacteristic
676C4C22×#1062535411yescharacteristic
677C2—24no—
678C2—944no—
679C2—944no—
680C2—3762no—
681C2#2025331414yesdirect product factor
682C2C22×#1309400911yescharacteristic
683C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
684C2C2×#137×D4711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC2×#15689635C2
hypercenterC2×#428D47
hypocenterC47C2×#3092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D47C2semidirect
3. #20253314C2direct (N × H)
4. C2×#15689460C2semidirect
5. C2×#15689443C2semidirect
6. C2×#15689455C2semidirect
7. C2×#15689438C2semidirect
8. C2×#15689166C2semidirect
9. C2×#15689125C2semidirect
10. C2×#15689122C2semidirect
11. C2×#15689086C2semidirect
12. C2×C47×#428C2semidirect
34. C2×C4⋊C4×D47C22semidirect
35. #15689460C22semidirect
36. #15689455C22semidirect
37. #15689443C22semidirect
38. #15689438C22semidirect
39. #15689166C22semidirect
40. C2×#13093957C22semidirect
41. C2×#13093955C22semidirect
42. #15689125C22semidirect
43. #15689122C22semidirect
44. C2×#13093949C22semidirect
45. C2×#13093947C22semidirect
46. C2×#13093946C22semidirect
47. C2×#13093944C22semidirect
48. #15689086C22semidirect
54. C47×#428C22semidirect
55. C2×#107×C47C22semidirect
56. C2×#106×C47C22semidirect
116. #13093957C23semidirect
117. #13093955C23semidirect
118. #13093949C23semidirect
119. #13093947C23semidirect
120. #13093946C23semidirect
121. #13093944C23semidirect
139. #107×C47C23semidirect
140. #106×C47C23semidirect
343. C2×#428D47semidirect
348. C2×C47#3092semidirect
385. #428C2×D47semidirect
387. C2×#107C2×D47semidirect
389. C2×#106C2×D47semidirect
399. C47C2×#3092semidirect
475. #107C22×D47semidirect
477. #106C22×D47semidirect
681. C2#20253314direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896352
C22×C4⋊C4×D472
#202533142
C2×#156894602
C2×#156894432
C2×#156894552
C2×#156894382
C2×#156891662
C2×#156891252
C2×#156891222
C2×#156890862
C2×C47×#4282
C2×#309247