Finite Group Databasebeta

← C2×#20253330 #27084077

Subgroups — C2×#20253330 #27084077

Order 12032.

2670 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093999C211yesmaximal, characteristic
2C2×#117×D47C211yesmaximal, characteristic, complemented
3#20253330C2116yesmaximal, direct product factor
4C2×#15689443C212yesmaximal, complemented
5C2×#15689450C212yesmaximal, complemented
6C2×#15689449C212yesmaximal, complemented
7C2×#15689438C212yesmaximal, complemented
8C2×#15689163C211yesmaximal, characteristic, complemented
9C2×#15689129C211yesmaximal, characteristic, complemented
10C2×#15689127C211yesmaximal, characteristic, complemented
11C2×#15689086C211yesmaximal, characteristic, complemented
12C2×C47×#428C211yesmaximal, characteristic, complemented
13C23×D188—21no—
14C23×D188C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C22×#10625329C2211yescharacteristic
17C2×#13093999—21no—
18C2×#13093999—24no—
19C2×#13093999—21no—
20C2×#13093999C2212yes—
21C2×#13093999C2212yes—
22C2×#13093999C2218yes—
23C2×#13093983C2211yescharacteristic
24C2×#13093982C2211yescharacteristic, complemented
25C2×#13093982C2211yescharacteristic, complemented
26C2×#13093981—21no—
27C2×#13093980—21no—
28#117×D47—24no—
29#117×D47C2218yescomplemented
30C2×C4⋊C4×D47C2211yescharacteristic, complemented
31C2×C4⋊C4×D47C2211yescharacteristic, complemented
32C22×(C2×D47)⋊C4—21no—
33C2×C22⋊C4×D47—21no—
34C2×C42×D47—21no—
35#15689450C22116yescomplemented
36#15689449C22116yescomplemented
37#15689443C22116yescomplemented
38#15689438C22116yescomplemented
39#15689163C2218yescomplemented
40C2×#13093957C2212yescomplemented
41C2×#13093955C2212yescomplemented
42#15689129C2218yescomplemented
43#15689127C2218yescomplemented
44C2×#13093946C2212yescomplemented
45C2×#13093946C2212yescomplemented
46C2×#13093944C2212yescomplemented
47C2×#13093944C2212yescomplemented
48#15689086C2218yescomplemented
49C2×(C2×D47)⋊C8C2212yescomplemented
50C2×(C2×D47)⋊C8C2212yescomplemented
51C22×M16×C47C2211yescharacteristic
52C2×#117×C47C2211yescharacteristic
53C22×C4⋊C4×C47C2211yescharacteristic
54C47×#428C2218yescomplemented
55C2×#107×C47C2212yescomplemented
56C2×#106×C47C2212yescomplemented
57C24×D47—21no—
58C24×D47D411yescharacteristic
59C22×D188—24no—
60C22×D188—24no—
61C22×D188—22no—
62C22×D188—28no—
63C22×D188—22no—
64C22×D188—21no—
65C22×D188—22no—
66C22×D188—48no—
67C22×D188C2312yes—
68C22×D188C2314yes—
69C23×Dic47D411yescharacteristic
70C22×C4×D47—24no—
71C22×C4×D47—24no—
72C22×C4×D47—21no—
73C22×C4×D47—21no—
74C22×C4×D47D411yescharacteristic
75C22×C4×D47D414yes—
76C22×C4×D47D411yescharacteristic
77C22×C4×D47C2311yescharacteristic
78C22×C4×D47C2314yes—
79C22×C4×D47C2311yescharacteristic
80C2×#10625329—24no—
81C2×#10625329C2314yes—
82C22×C47⋊C8C2312yes—
83#13093999—28no—
84#13093999—24no—
85#13093999—28no—
86#13093999—24no—
87#13093999C2318yes—
88#13093999C2318yes—
89#13093983—22no—
90#13093983C2314yes—
91#13093982—22no—
92#13093982—22no—
93#13093982C2314yescomplemented
94#13093982C2314yescomplemented
95#13093981—28no—
96#13093980—28no—
97C2×C4⋊Dic47C2311yescharacteristic
98C2×C4⋊Dic47C2311yescharacteristic
99C2×Dic47⋊C4—21no—
100C2×Dic47⋊C4—21no—
101C4⋊C4×D47—22no—
102C4⋊C4×D47—22no—
103C4⋊C4×D47C2314yescomplemented
104C4⋊C4×D47C2314yescomplemented
105C2×C22⋊Dic47—21no—
106C2×(C2×D47)⋊C4—21no—
107C2×(C2×D47)⋊C4—21no—
108C2×(C2×D47)⋊C4—22no—
109C2×(C2×D47)⋊C4—22no—
110C2×(C2×D47)⋊C4—28no—
111C22⋊C4×D47—28no—
112C2×C4×Dic47—21no—
113C2×C4×Dic47—21no—
114C2×C4×Dic47—21no—
115C42×D47—28no—
116#13093957C2318yescomplemented
117#13093955C2318yescomplemented
118#13093946C2318yescomplemented
119#13093946C2318yescomplemented
120#13093944C2318yescomplemented
121#13093944C2318yescomplemented
122(C2×D47)⋊C8C2318yescomplemented
123(C2×D47)⋊C8C2318yescomplemented
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—22no—
146C23×D47—42no—
147C23×D47—44no—
148C23×D47—44no—
149C23×D47—44no—
150C23×D47C2×D411yescharacteristic
151C23×D47C2×D414yes—
152C23×D47C2×D411yescharacteristic
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—24no—
156C22×C4×C47—22no—
157C22×C4×C47—44no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D412yes—
160C22×C4×C47#4114yes—
161C22×C4×C47#4114yes—
162C22×C4×C47C2411yescharacteristic
163C22×C4×C47C2412yes—
164C22×Dic47—24no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47C2×D411yescharacteristic
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D414yes—
170C2×D188—24no—
171C2×D188—28no—
172C2×D188—24no—
173C2×D188—28no—
174C2×D188—28no—
175C2×D188—28no—
176C2×D188—24no—
177C2×D188—22no—
178C2×D188—48no—
179C2×D188—432no—
180C2×D188—48no—
181C2×D188—48no—
182C2×D188—44no—
183C2×D188C2414yes—
184C2×C4×D47—24no—
185C2×C4×D47—216no—
186C2×C4×D47—24no—
187C2×C4×D47—22no—
188C2×C4×D47—22no—
189C2×C4×D47—28no—
190C2×C4×D47—22no—
191C2×C4×D47—22no—
192C2×C4×D47—28no—
193C2×C4×D47—24no—
194C2×C4×D47—24no—
195C2×C4×D47—44no—
196C2×C4×D47—44no—
197C2×C4×D47C2×D414yes—
198C2×C4×D47C2×D412yes—
199C2×C4×D47C2×D414yes—
200C2×C4×D47C2×D412yes—
201C2×C4×D47C2412yes—
202C2×C4×D47C2412yes—
203M16×C47—28no—
204C2×C8×C47—24no—
205C2×C8×C47C2414yes—
206C4⋊C4×C47—24no—
207C4⋊C4×C47—22no—
208C4⋊C4×C47—21no—
209C4⋊C4×C47—21no—
210C4⋊C4×C47C2412yes—
211C4⋊C4×C47C2414yes—
212C4⋊C4×C47C2412yes—
213C22⋊C4×C47—24no—
214C42×C47—24no—
215C22⋊Dic47—24no—
216(C2×D47)⋊C4—24no—
217(C2×D47)⋊C4—24no—
218(C2×D47)⋊C4—28no—
219(C2×D47)⋊C4—28no—
220C4⋊Dic47—21no—
221C4⋊Dic47—21no—
222C4⋊Dic47C2412yes—
223C4⋊Dic47C2412yes—
224Dic47⋊C4—24no—
225Dic47⋊C4—24no—
226C4×Dic47—24no—
227C4×Dic47—24no—
228C4×Dic47—24no—
229#10625329—28no—
230C2×C47⋊C8—24no—
231C2×C47⋊C8C2414yes—
232C23×C47—22no—
233C23×C47—22no—
234C23×C47#12314yes—
235C23×C47C22×D412yes—
236C23×C47C22×D411yescharacteristic
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—28no—
240C22×D47—22no—
241C22×D47—22no—
242C22×D47—22no—
243C22×D47—28no—
244C22×D47—24no—
245C22×D47—44no—
246C22×D47—416no—
247C22×D47—48no—
248C22×D47—48no—
249C22×D47—48no—
250C22×D47—44no—
251C22×D47—44no—
252C22×D47—44no—
253C22×D47—816no—
254C22×D47AGL(1,ℤ/8)14yes—
255C22×D47C22×D412yes—
256C22×D47C22×D412yes—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—24no—
260C2×C4×C47—48no—
261C2×C4×C47—42no—
262C2×C4×C47—44no—
263C2×C4×C47—42no—
264C2×C4×C47#12318yes—
265C2×C4×C47#12314yes—
266C2×C4×C47C22×D412yes—
267C2×C4×C47C22×D411yescharacteristic
268C2×C4×C47C2×#4112yes—
269C2×C4×C47C2×#4114yes—
270C2×C4×C47C2×#4112yes—
271C2×C4×C47C2×#4114yes—
272C2×C4×C47C2511yescharacteristic
273C2×Dic47—28no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—42no—
279C2×Dic47—42no—
280C2×Dic47C22×D412yes—
281C2×Dic47C22×D412yes—
282D188—24no—
283D188—24no—
284D188—416no—
285D188—416no—
286D188—48no—
287D188—44no—
288C4×D47—28no—
289C4×D47—24no—
290C4×D47—28no—
291C4×D47—24no—
292C4×D47—22no—
293C4×D47—22no—
294C4×D47—22no—
295C4×D47—22no—
296C4×D47—48no—
297C4×D47—48no—
298C8×C47—24no—
299C47⋊C8—24no—
300C2×#3094—471nomaximal, Sylow
301C22×C47—28no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47C2×#12314yes—
305C22×C47C2×#12312yes—
306C22×C47C2×AGL(1,ℤ/8)12yes—
307C22×C47#57512yes—
308C22×C47C23×D411yescharacteristic
309C2×D47—28no—
310C2×D47—22no—
311C2×D47—22no—
312C2×D47—22no—
313C2×D47—22no—
314C2×D47—22no—
315C2×D47—416no—
316C2×D47—44no—
317C2×D47—44no—
318C2×D47—44no—
319C2×D47—44no—
320C2×D47—816no—
321C2×D47—88no—
322C2×D47C2×AGL(1,ℤ/8)14yes—
323C4×C47—42no—
324C4×C47—44no—
325C4×C47—42no—
326C4×C47C2×#12314yes—
327C4×C47C2×#12312yes—
328C4×C47C22×#4111yescharacteristic
329C4×C47C22×#4111yescharacteristic
330Dic47—22no—
331Dic47—22no—
332Dic47—42no—
333Dic47—42no—
334C22×#121—471no—
335C22×#117—471no—
336#3094—4716no—
337C2×#481—472no—
338C2×#482—472no—
339C2×#482—472no—
340C2×#480—472no—
341C2×#428—471no—
342C2×#428D4711yescharacteristic, complemented
343C2×#418—471no—
344C2×#418—471no—
345C2×#407—471no—
346C2×C47—24no—
347C2×C47#309414yescomplemented
348C2×C47C22×#12311yescharacteristic
349C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
350C2×C47C2×#57511yescharacteristic
351D47—24no—
352D47—42no—
353D47—84no—
354C23×D4—471no—
355C23×D4—941no—
356C24×C4—471no—
357C22×M16—471no—
358C22×M16C2×D4711yescharacteristic
359C2×#121—472no—
360C2×#121—472no—
361C2×#121—478no—
362C2×#121—944no—
363C2×#121—941no—
364C2×#121—941no—
365C2×#117—471no—
366C2×#117—478no—
367C2×#117—471no—
368C2×#117—471no—
369C2×#117—941no—
370C2×#117—941no—
371C2×#117—944no—
372C2×#117C2×D4711yescharacteristic
373C22×C4⋊C4—471no—
374C22×C4⋊C4—471no—
375C22×C4⋊C4C2×D4711yescharacteristic
376C22×C22⋊C4—941no—
377C22×C22⋊C4—941no—
378C22×C42—941no—
379#482—4716no—
380#482—4716no—
381#481—4716no—
382#480—4716no—
383#428—478no—
384#428C2×D4718yescomplemented
385C2×#107—472no—
386C2×#107C2×D4712yescomplemented
387C2×#106—472no—
388C2×#106C2×D4712yescomplemented
389#418—478no—
390#418—478no—
391C2×#102—472no—
392C2×#102—472no—
393C2×#102—472no—
394C2×#102—472no—
395#407—478no—
396C2×C22⋊C8—472no—
397C2×C22⋊C8—472no—
398C47C2×#309411yescharacteristic, complemented, Sylow
399C25—471no—
400C25—941no—
401C22×D4—472no—
402C22×D4—474no—
403C22×D4—948no—
404C22×D4—942no—
405C22×D4—942no—
406C22×D4—944no—
407C22×D4—942no—
408C22×D4—941no—
409C22×D4—944no—
410C22×D4—1888no—
411C23×C4—21no—
412C23×C4—471no—
413C23×C4—474no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4—471no—
418C23×C4—474no—
419C23×C4—941no—
420C23×C4—941no—
421C23×C4—944no—
422C23×C4—944no—
423C23×C4C22×D4711yescharacteristic
424C2×M16—24no—
425C2×M16—474no—
426C2×M16—944no—
427C2×M16C22×D4714yes—
428C22×C8—472no—
429C22×C8C22×D4712yes—
430#121—478no—
431#121—478no—
432#121—948no—
433#121—944no—
434#121—944no—
435#121—948no—
436#117—22no—
437#117—474no—
438#117—474no—
439#117—474no—
440#117—948no—
441#117—948no—
442#117—942no—
443#117—942no—
444#117—942no—
445#117C22×D4714yes—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—471no—
450C2×C4⋊C4—474no—
451C2×C4⋊C4—474no—
452C2×C4⋊C4—942no—
453C2×C4⋊C4—942no—
454C2×C4⋊C4—941no—
455C2×C4⋊C4—941no—
456C2×C4⋊C4C22×D4711yescharacteristic
457C2×C4⋊C4C22×D4711yescharacteristic
458C2×C4⋊C4C22×D4712yes—
459C2×C4⋊C4C22×D4714yes—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—948no—
462C2×C22⋊C4—948no—
463C2×C22⋊C4—942no—
464C2×C22⋊C4—942no—
465C2×C22⋊C4—941no—
466C2×C22⋊C4—941no—
467C2×C22⋊C4—941no—
468C2×C42—21no—
469C2×C42—948no—
470C2×C42—941no—
471C2×C42—941no—
472C2×C42—941no—
473#107—478no—
474#107C22×D4718yescomplemented
475#106—478no—
476#106C22×D4718yescomplemented
477#102—478no—
478#102—478no—
479#102—478no—
480#102—478no—
481C22⋊C8—478no—
482C22⋊C8—478no—
483C24—471no—
484C24—471no—
485C24—474no—
486C24—944no—
487C24—944no—
488C24—944no—
489C24—942no—
490C24—1882no—
491C24—1884no—
492C24—1884no—
493C24—1884no—
494C24D4×D4711yescharacteristic
495C2×D4—474no—
496C2×D4—948no—
497C2×D4—948no—
498C2×D4—944no—
499C2×D4—942no—
500C2×D4—944no—
501C2×D4—948no—
502C2×D4—944no—
503C2×D4—948no—
504C2×D4—1888no—
505C2×D4—18832no—
506C2×D4—1888no—
507C2×D4—1888no—
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—472no—
519C22×C4—472no—
520C22×C4—474no—
521C22×C4—472no—
522C22×C4—472no—
523C22×C4—944no—
524C22×C4—944no—
525C22×C4—944no—
526C22×C4—944no—
527C22×C4—9416no—
528C22×C4—944no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—948no—
532C22×C4—942no—
533C22×C4—942no—
534C22×C4—948no—
535C22×C4—941no—
536C22×C4—941no—
537C22×C4—1884no—
538C22×C4—1884no—
539C22×C4#1062535014yes—
540C22×C4D4×D4712yes—
541C22×C4D4×D4711yescharacteristic
542C22×C4#1062535414yes—
543C22×C4C23×D4712yes—
544C22×C4C23×D4711yescharacteristic
545M16—28no—
546M16—948no—
547C2×C8—24no—
548C2×C8—474no—
549C2×C8—944no—
550C2×C8C23×D4714yes—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—472no—
556C4⋊C4—472no—
557C4⋊C4—944no—
558C4⋊C4—944no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4C23×D4712yes—
562C4⋊C4C23×D4712yes—
563C4⋊C4C23×D4714yes—
564C22⋊C4—24no—
565C22⋊C4—948no—
566C22⋊C4—948no—
567C22⋊C4—944no—
568C22⋊C4—944no—
569C22⋊C4—944no—
570C42—24no—
571C42—944no—
572C42—944no—
573C42—944no—
574C23—22no—
575C23—22no—
576C23—474no—
577C23—472no—
578C23—472no—
579C23—948no—
580C23—942no—
581C23—942no—
582C23—948no—
583C23—942no—
584C23—942no—
585C23—942no—
586C23—944no—
587C23—37616no—
588C23—1884no—
589C23—18816no—
590C23—1888no—
591C23—1888no—
592C23—1888no—
593C23—1884no—
594C23—1884no—
595C23—1884no—
596C23#1309400914yes—
597C23C2×D4×D4712yes—
598C23C2×D4×D4711yescharacteristic
599D4—944no—
600D4—944no—
601D4—18816no—
602D4—18816no—
603D4—1888no—
604D4—1884no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—44no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—472no—
613C2×C4—472no—
614C2×C4—948no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—948no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—948no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—1888no—
628C2×C4—1888no—
629C2×C4—1882no—
630C2×C4—1882no—
631C2×C4#1309400918yes—
632C2×C4#1309400914yes—
633C2×C4C2×D4×D4712yes—
634C2×C4C2×D4×D4711yescharacteristic
635C2×C4C2×#1062535012yes—
636C2×C4C2×#1062535014yes—
637C2×C4C2×#1062535412yes—
638C2×C4C2×#1062535414yes—
639C2×C4C24×D4711yescharacteristic
640C8—24no—
641C8—944no—
642C22—22no—
643C22—22no—
644C22—28no—
645C22—474no—
646C22—942no—
647C22—942no—
648C22—948no—
649C22—942no—
650C22—942no—
651C22—942no—
652C22—37616no—
653C22—3768no—
654C22—18816no—
655C22—1884no—
656C22—1884no—
657C22—1884no—
658C22—1884no—
659C22C2×#1309400914yes—
660C22C2×#1309400912yes—
661C22AGL(1,ℤ/8)×D4712yes—
662C22#1568992212yes—
663C22C22×D4×D4711yescharacteristic
664C4—44no—
665C4—42no—
666C4—42no—
667C4—942no—
668C4—942no—
669C4—1882no—
670C4—1882no—
671C4C2×#1309400914yes—
672C4C2×#1309400912yes—
673C4C22×#1062535011yescharacteristic
674C4C22×#1062535411yescharacteristic
675C2—24no—
676C2—944no—
677C2—3764no—
678C2—1882no—
679C2#2025333014yesdirect product factor
680C2C22×#1309400911yescharacteristic
681C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
682C2C2×#1568992211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#428C2
socleC23×C47C22×D4
prime radicalC22×#13093999C2
hypercenterC2×#428D47
hypocenterC47C2×#3094
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. C2×#117×D47C2semidirect
3. #20253330C2direct (N × H)
4. C2×#15689443C2semidirect
5. C2×#15689450C2semidirect
6. C2×#15689449C2semidirect
7. C2×#15689438C2semidirect
8. C2×#15689163C2semidirect
9. C2×#15689129C2semidirect
10. C2×#15689127C2semidirect
11. C2×#15689086C2semidirect
12. C2×C47×#428C2semidirect
24. C2×#13093982C22semidirect
25. C2×#13093982C22semidirect
29. #117×D47C22semidirect
30. C2×C4⋊C4×D47C22semidirect
31. C2×C4⋊C4×D47C22semidirect
35. #15689450C22semidirect
36. #15689449C22semidirect
37. #15689443C22semidirect
38. #15689438C22semidirect
39. #15689163C22semidirect
40. C2×#13093957C22semidirect
41. C2×#13093955C22semidirect
42. #15689129C22semidirect
43. #15689127C22semidirect
44. C2×#13093946C22semidirect
45. C2×#13093946C22semidirect
46. C2×#13093944C22semidirect
47. C2×#13093944C22semidirect
48. #15689086C22semidirect
49. C2×(C2×D47)⋊C8C22semidirect
50. C2×(C2×D47)⋊C8C22semidirect
54. C47×#428C22semidirect
55. C2×#107×C47C22semidirect
56. C2×#106×C47C22semidirect
93. #13093982C23semidirect
94. #13093982C23semidirect
103. C4⋊C4×D47C23semidirect
104. C4⋊C4×D47C23semidirect
116. #13093957C23semidirect
117. #13093955C23semidirect
118. #13093946C23semidirect
119. #13093946C23semidirect
120. #13093944C23semidirect
121. #13093944C23semidirect
122. (C2×D47)⋊C8C23semidirect
123. (C2×D47)⋊C8C23semidirect
139. #107×C47C23semidirect
140. #106×C47C23semidirect
342. C2×#428D47semidirect
347. C2×C47#3094semidirect
384. #428C2×D47semidirect
386. C2×#107C2×D47semidirect
388. C2×#106C2×D47semidirect
398. C47C2×#3094semidirect
474. #107C22×D47semidirect
476. #106C22×D47semidirect
679. C2#20253330direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130939992
C2×#117×D472
#202533302
C2×#156894432
C2×#156894502
C2×#156894492
C2×#156894382
C2×#156891632
C2×#156891292
C2×#156891272
C2×#156890862
C2×C47×#4282
C2×#309447