Finite Group Databasebeta

← C2×#20256304 #27096774

Subgroups — C2×#20256304 #27096774

Order 12032.

2006 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×#15689850C211yesmaximal, characteristic, complemented
2C2×D4×Dic94C211yesmaximal, characteristic
3#20256304C2116yesmaximal, direct product factor
4C2×#15689533C211yesmaximal, characteristic, complemented
5C2×#15689530C211yesmaximal, characteristic, complemented
6C2×#15689527C211yesmaximal, characteristic, complemented
7C2×#15689419C211yesmaximal, characteristic, complemented
8C2×#15689417C211yesmaximal, characteristic, complemented
9C2×#15689407C211yesmaximal, characteristic, complemented
10C2×#15689421C211yesmaximal, characteristic
11C2×#15689401C211yesmaximal, characteristic
12C2×#15689252C211yesmaximal, characteristic, complemented
13C2×#15689223C211yesmaximal, characteristic
14C2×#15689220C211yesmaximal, characteristic
15C2×#15689214C211yesmaximal, characteristic
16C2×C47×#478C211yesmaximal, characteristic
17C23×Dic94—21no—
18C22×#10625335C2211yescharacteristic
19#15689850—24no—
20#15689850C2218yescomplemented
21D4×Dic94—24no—
22D4×Dic94C2218yes—
23C2×#13094024C2211yescharacteristic
24C2×#13094023—21no—
25C2×#13094023C2211yescharacteristic
26C2×#13094023C2211yescharacteristic
27C2×#13094023C2211yescharacteristic
28C2×#13094015C2211yescharacteristic
29C2×#13094014—21no—
30C2×#13094014—21no—
31C2×#13094003—21no—
32C2×#13094001—21no—
33C2×#13094001—21no—
34C2×C4×Dic94C2211yescharacteristic
35C2×C4×Dic94C2211yescharacteristic
36C2×#13093989—21no—
37C2×#13093989C2211yescharacteristic
38C2×#13093989C2211yescharacteristic
39C2×D4×Dic47C2211yescharacteristic
40C2×D4×Dic47C2211yescharacteristic
41#15689533C2218yescomplemented
42#15689530C2218yescomplemented
43#15689527C2218yescomplemented
44#15689421C2218yes—
45#15689419C2218yescomplemented
46#15689417C2218yescomplemented
47#15689407C2218yescomplemented
48#15689401C2218yes—
49#15689252C2218yescomplemented
50#15689223C2218yes—
51#15689220C2218yes—
52#15689214C2218yes—
53C2×#13093958C2211yescharacteristic
54C2×#13093958C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093957C2211yescharacteristic
58C2×#13093955C2211yescharacteristic
59C2×#13093955C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×Dic47⋊C8C2211yescharacteristic
62C2×#13093949C2211yescharacteristic
63C2×#13093949C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093945C2211yescharacteristic
66C2×#13093935C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×#125×C47C2211yescharacteristic
70C2×C4×D4×C47C2211yescharacteristic
71C47×#478C2218yes—
72C2×#107×C47C2211yescharacteristic
73C2×#106×C47C2211yescharacteristic
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#102×C47C2211yescharacteristic
76C2×#102×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94—21no—
80C22×Dic94—21no—
81C22×Dic94—28no—
82C22×Dic94—48no—
83C22×Dic94D411yescharacteristic
84C22×Dic94C2311yescharacteristic
85C23×Dic47—21no—
86C23×Dic47—21no—
87C2×#10625335Q818yescomplemented
88C2×#10625335C2314yes—
89C22×C47⋊C8C2311yescharacteristic
90C22×C47⋊C8C2311yescharacteristic
91#13094024—22no—
92#13094024C2314yes—
93#13094023—28no—
94#13094023—22no—
95#13094023—22no—
96#13094023—22no—
97#13094023C2314yes—
98#13094023C2314yes—
99#13094023C2314yes—
100#13094015—22no—
101#13094015C2314yes—
102#13094014—28no—
103#13094014—28no—
104#13094003—28no—
105#13094001—28no—
106#13094001—28no—
107C4×Dic94—22no—
108C4×Dic94D414yes—
109C4×Dic94C2314yes—
110C4×Dic94C2314yes—
111#13093989—28no—
112#13093989—22no—
113#13093989—22no—
114#13093989C2314yes—
115#13093989C2314yes—
116D4×Dic47—22no—
117D4×Dic47—22no—
118D4×Dic47C2314yes—
119D4×Dic47C2314yes—
120C2×C4⋊Dic47—21no—
121C2×C4⋊Dic47—21no—
122C2×C4⋊Dic47D411yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×C4⋊Dic47C2311yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4—21no—
133C2×Dic47⋊C4D411yescharacteristic
134C2×Dic47⋊C4D411yescharacteristic
135C2×C22⋊Dic47—21no—
136C2×C22⋊Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47C2311yescharacteristic
141C2×C4×Dic47C2311yescharacteristic
142#13093958C2314yes—
143#13093958C2314yes—
144#13093957C2314yes—
145#13093957C2314yes—
146#13093957C2314yes—
147#13093955C2314yes—
148#13093955C2314yes—
149Dic47⋊C8C2314yes—
150Dic47⋊C8C2314yes—
151#13093949C2314yes—
152#13093949C2314yes—
153#13093947C2314yes—
154#13093945C2314yes—
155#13093935C2314yes—
156#13093934C2314yes—
157C8×Dic47C2314yes—
158C22×D4×C47C2311yescharacteristic
159C23×C4×C47—21no—
160C22×C8×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162#125×C47—22no—
163#125×C47C2314yes—
164C4×D4×C47—22no—
165C4×D4×C47C2314yes—
166C2×C4⋊C4×C47—21no—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C22⋊C4×C47—21no—
172C2×C42×C47C2311yescharacteristic
173#107×C47C2314yes—
174#106×C47C2314yes—
175C4⋊C8×C47C2314yes—
176#102×C47C2314yes—
177#102×C47C2314yes—
178C24×C47—21no—
179C2×D4×C47—21no—
180C2×D4×C47—22no—
181C2×D4×C47C2×Q814yes—
182C2×D4×C47C2412yes—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47—21no—
186C22×C4×C47—24no—
187C22×C4×C47—44no—
188C22×C4×C47C2×D411yescharacteristic
189C22×C4×C47C2×D411yescharacteristic
190C22×C4×C47C2411yescharacteristic
191C22×Dic47—21no—
192C22×Dic47—21no—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—24no—
196C22×Dic47—24no—
197C22×Dic47—44no—
198C22×Dic47—44no—
199C22×Dic47C2×D411yescharacteristic
200C22×Dic47C2×D411yescharacteristic
201C22×Dic47C2×D411yescharacteristic
202C22×Dic47C2×D411yescharacteristic
203C2×Dic94—21no—
204C2×Dic94—22no—
205C2×Dic94—24no—
206C2×Dic94—24no—
207C2×Dic94—24no—
208C2×Dic94—24no—
209C2×Dic94—24no—
210C2×Dic94—432no—
211C2×Dic94—44no—
212C2×Dic94—44no—
213C2×Dic94—44no—
214C2×Dic94—44no—
215C2×Dic94C2×D414yes—
216C2×Dic94C2×Q814yescomplemented
217C2×Dic94C2412yes—
218C2×C8×C47—22no—
219C2×C8×C47—22no—
220C2×C8×C47C2412yes—
221C2×C8×C47C2412yes—
222C4⋊C4×C47—24no—
223C4⋊C4×C47—24no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47C2412yes—
228C4⋊C4×C47C2412yes—
229C4⋊C4×C47C2412yes—
230C22⋊C4×C47—24no—
231C42×C47C2×D412yes—
232C42×C47C2412yes—
233C22⋊Dic47—24no—
234C22⋊Dic47—24no—
235#10625335C2×Q8116yescomplemented
236C4⋊Dic47—24no—
237C4⋊Dic47—21no—
238C4⋊Dic47—21no—
239C4⋊Dic47—21no—
240C4⋊Dic47—24no—
241C4⋊Dic47C2×D414yes—
242C4⋊Dic47C2412yes—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4C2×D414yes—
253Dic47⋊C4C2×D414yes—
254C4×Dic47—24no—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47C2×D412yes—
258C4×Dic47C2×D412yes—
259C4×Dic47C2412yes—
260C4×Dic47C2412yes—
261C2×C47⋊C8—22no—
262C2×C47⋊C8C2×Q814yescomplemented
263C2×C47⋊C8C2412yes—
264C2×C47⋊C8C2412yes—
265C23×C47—24no—
266C23×C47—22no—
267C23×C47—42no—
268C23×C47—42no—
269C23×C47C22×D411yescharacteristic
270D4×C47—24no—
271D4×C47—22no—
272D4×C47C22×Q814yes—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—22no—
277C2×C4×C47—22no—
278C2×C4×C47—48no—
279C2×C4×C47—42no—
280C2×C4×C47—42no—
281C2×C4×C47—42no—
282C2×C4×C47C22×D412yes—
283C2×C4×C47C22×D412yes—
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×Q812yes—
286C2×C4×C472−1+412yes—
287C2×C4×C47C2511yescharacteristic
288C2×Dic47—24no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—48no—
297C2×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47—42no—
300C2×Dic47—48no—
301C2×Dic47AGL(1,ℤ/8)14yes—
302C2×Dic47C22×D412yes—
303C2×Dic47C22×D412yes—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306Dic94—24no—
307Dic94—22no—
308Dic94—28no—
309Dic94—48no—
310Dic94—48no—
311Dic94—48no—
312Dic94—48no—
313Dic94C22×Q814yescomplemented
314C8×C47—22no—
315C8×C47—22no—
316C47⋊C8—22no—
317C47⋊C8C22×Q814yescomplemented
318C2×#3386—471nomaximal, Sylow
319C22×C47—24no—
320C22×C47—48no—
321C22×C47—42no—
322C22×C47—42no—
323C22×C47D4×Q812yes—
324C22×C47C2×AGL(1,ℤ/8)12yes—
325C22×C47#57812yes—
326C22×C47C23×D411yescharacteristic
327C4×C47—22no—
328C4×C47—22no—
329C4×C47—42no—
330C4×C47—42no—
331C4×C47—42no—
332C4×C47D4×Q812yes—
333C4×C47C23×Q811yescharacteristic
334C4×C47C2×2−1+411yescharacteristic
335Dic47—24no—
336Dic47—22no—
337Dic47—22no—
338Dic47—22no—
339Dic47—42no—
340Dic47—42no—
341Dic47—42no—
342Dic47C2×AGL(1,ℤ/8)14yes—
343C2×#557—471no—
344C2×D4×Q8—471no—
345#3386—4716no—
346C2×#501—471no—
347C2×#501—471no—
348C2×#500—471no—
349C2×#477—471no—
350C2×#477—471no—
351C2×#475—471no—
352C2×#478—471no—
353C2×#478D4711yescharacteristic
354C2×#474—471no—
355C2×#446—471no—
356C2×#440—471no—
357C2×#440—471no—
358C2×C4×SD16—471no—
359C2×C47—44no—
360C2×C47#338614yescomplemented
361C2×C47C2×D4×Q811yescharacteristic
362C2×C47C22×AGL(1,ℤ/8)11yescharacteristic
363C2×C47C2×#57811yescharacteristic
364C23×Q8—941no—
365C22×SD16—471no—
366#557—478no—
367#557—944no—
368D4×Q8—478no—
369D4×Q8—944no—
370C2×C4⋊Q8—471no—
371C2×C4⋊Q8—471no—
372C2×C4⋊Q8—471no—
373C2×C4⋊Q8—471no—
374C2×C4⋊Q8—941no—
375C2×#125—471no—
376C2×#125—941no—
377C2×#125—941no—
378C2×#125C2×D4711yescharacteristic
379C2×C22⋊Q8—941no—
380C2×C22⋊Q8—941no—
381C2×C22⋊Q8—941no—
382C2×C4×Q8—471no—
383C2×C4×Q8—471no—
384C2×C4×Q8—471no—
385C2×C4×Q8—471no—
386C2×C4×Q8—941no—
387C2×C4×D4—471no—
388C2×C4×D4—471no—
389C2×C4×D4C2×D4711yescharacteristic
390#501—478no—
391#501—478no—
392#500—478no—
393#478—478no—
394#478C2×D4718yes—
395#477—478no—
396#477—478no—
397#475—478no—
398#474—478no—
399#446—478no—
400#440—478no—
401#440—478no—
402C4×SD16—478no—
403C2×#107—471no—
404C2×#107—471no—
405C2×#107—471no—
406C2×#107—471no—
407C2×#107—471no—
408C2×#107C2×D4711yescharacteristic
409C2×#106—471no—
410C2×#106—471no—
411C2×#106C2×D4711yescharacteristic
412C2×C4⋊C8—471no—
413C2×C4⋊C8—471no—
414C2×C4⋊C8C2×D4711yescharacteristic
415C2×#103—471no—
416C2×#103—471no—
417C2×#103—471no—
418C2×#102—471no—
419C2×#102C2×D4711yescharacteristic
420C2×#102C2×D4711yescharacteristic
421C2×#97—471no—
422C2×#97—471no—
423C2×C4×C8—471no—
424C47C2×#338611yescharacteristic, complemented, Sylow
425C22×Q8—471no—
426C22×Q8—471no—
427C22×Q8—941no—
428C22×Q8—941no—
429C22×Q8—941no—
430C22×Q8—948no—
431C22×Q8—941no—
432C22×Q8—1888no—
433C22×D4C22×D4711yescharacteristic
434C23×C4—21no—
435C23×C4—941no—
436C23×C4—941no—
437C2×SD16—478no—
438C2×SD16—474no—
439C22×C8—471no—
440C22×C8—471no—
441C22×C8C22×D4711yescharacteristic
442C22×C8C22×D4711yescharacteristic
443C4⋊Q8—474no—
444C4⋊Q8—474no—
445C4⋊Q8—474no—
446C4⋊Q8—474no—
447C4⋊Q8—942no—
448C4⋊Q8—942no—
449C4⋊Q8—942no—
450C4⋊Q8—948no—
451C4⋊Q8—942no—
452#125—22no—
453#125—474no—
454#125—942no—
455#125—948no—
456#125—948no—
457#125C22×D4714yes—
458C22⋊Q8—948no—
459C22⋊Q8—948no—
460C22⋊Q8—948no—
461C4×Q8—474no—
462C4×Q8—474no—
463C4×Q8—474no—
464C4×Q8—474no—
465C4×Q8—474no—
466C4×Q8—942no—
467C4×Q8—942no—
468C4×Q8—948no—
469C4×Q8—942no—
470C4×D4—22no—
471C4×D4—474no—
472C4×D4—474no—
473C4×D4—942no—
474C4×D4—942no—
475C4×D4C22×D4714yes—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—471no—
480C2×C4⋊C4—471no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4—941no—
486C2×C4⋊C4—941no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4C22×D4711yescharacteristic
494C2×C4⋊C4C22×D4711yescharacteristic
495C2×C4⋊C4C22×D4711yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C42—471no—
500C2×C42—471no—
501C2×C42—941no—
502C2×C42—941no—
503C2×C42—941no—
504C2×C42C22×D4711yescharacteristic
505#107—474no—
506#107—474no—
507#107—474no—
508#107—474no—
509#107—474no—
510#107C22×D4714yes—
511#106—474no—
512#106—474no—
513#106C22×D4714yes—
514C4⋊C8—474no—
515C4⋊C8—474no—
516C4⋊C8C22×D4714yes—
517#103—474no—
518#103—474no—
519#103—474no—
520#102—474no—
521#102C22×D4714yes—
522#102C22×D4714yes—
523#97—474no—
524#97—474no—
525C4×C8—474no—
526C24—21no—
527C2×Q8—474no—
528C2×Q8—474no—
529C2×Q8—472no—
530C2×Q8—944no—
531C2×Q8—944no—
532C2×Q8—944no—
533C2×Q8—944no—
534C2×Q8—941no—
535C2×Q8—944no—
536C2×Q8—942no—
537C2×Q8—1884no—
538C2×Q8—1884no—
539C2×Q8—1884no—
540C2×Q8—1884no—
541C2×Q8—18832no—
542C2×D4—21no—
543C2×D4—22no—
544C2×D4Q8×D4714yes—
545C2×D4C23×D4712yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—44no—
551C22×C4—471no—
552C22×C4—471no—
553C22×C4—471no—
554C22×C4—471no—
555C22×C4—944no—
556C22×C4—944no—
557C22×C4—941no—
558C22×C4—941no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—1884no—
562C22×C4—1884no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566SD16—4716no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—474no—
570C2×C8—472no—
571C2×C8—472no—
572C2×C8—942no—
573C2×C8C23×D4712yes—
574C2×C8C23×D4712yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—474no—
581C4⋊C4—474no—
582C4⋊C4—474no—
583C4⋊C4—472no—
584C4⋊C4—472no—
585C4⋊C4—472no—
586C4⋊C4—944no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—944no—
591C4⋊C4—944no—
592C4⋊C4—944no—
593C4⋊C4—944no—
594C4⋊C4—941no—
595C4⋊C4—941no—
596C4⋊C4—941no—
597C4⋊C4—944no—
598C4⋊C4C23×D4712yes—
599C4⋊C4C23×D4712yes—
600C4⋊C4C23×D4712yes—
601C22⋊C4—24no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C42—472no—
605C42—472no—
606C42—472no—
607C42—472no—
608C42—944no—
609C42—944no—
610C42—944no—
611C42D4×D4712yes—
612C42C23×D4712yes—
613C23—24no—
614C23—22no—
615C23—42no—
616C23—42no—
617C23C2×D4×D4711yescharacteristic
618Q8—474no—
619Q8—948no—
620Q8—944no—
621Q8—942no—
622Q8—1888no—
623Q8—1888no—
624Q8—1888no—
625Q8—1888no—
626D4—24no—
627D4—22no—
628D4C2×Q8×D4714yes—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—474no—
639C2×C4—472no—
640C2×C4—472no—
641C2×C4—472no—
642C2×C4—472no—
643C2×C4—944no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—942no—
649C2×C4—942no—
650C2×C4—942no—
651C2×C4—1888no—
652C2×C4—1888no—
653C2×C4—1882no—
654C2×C4—1882no—
655C2×C4—1882no—
656C2×C4C2×D4×D4712yes—
657C2×C4C2×D4×D4712yes—
658C2×C4C2×D4×D4711yescharacteristic
659C2×C4C2×Q8×D4712yes—
660C2×C4#1309407112yes—
661C2×C4C24×D4711yescharacteristic
662C8—22no—
663C8—22no—
664C8—474no—
665C8—942no—
666C22—24no—
667C22—48no—
668C22—42no—
669C22—42no—
670C22#1568978612yes—
671C22AGL(1,ℤ/8)×D4712yes—
672C22#1568993712yes—
673C22C22×D4×D4711yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—474no—
680C4—942no—
681C4—944no—
682C4—942no—
683C4—942no—
684C4—1882no—
685C4—1882no—
686C4—1882no—
687C4#1568978612yes—
688C4C22×Q8×D4711yescharacteristic
689C4C2×#1309407111yescharacteristic
690C2—44no—
691C2#2025630414yesdirect product factor
692C2C2×#1568978611yescharacteristic
693C2C2×AGL(1,ℤ/8)×D4711yescharacteristic
694C2C2×#1568993711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#478C2
socleC23×C47C22×D4
prime radicalC22×D4×C47C23
hypercenterC2×#478D47
hypocenterC47C2×#3386
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#15689850C2semidirect
3. #20256304C2direct (N × H)
4. C2×#15689533C2semidirect
5. C2×#15689530C2semidirect
6. C2×#15689527C2semidirect
7. C2×#15689419C2semidirect
8. C2×#15689417C2semidirect
9. C2×#15689407C2semidirect
12. C2×#15689252C2semidirect
20. #15689850C22semidirect
41. #15689533C22semidirect
42. #15689530C22semidirect
43. #15689527C22semidirect
45. #15689419C22semidirect
46. #15689417C22semidirect
47. #15689407C22semidirect
49. #15689252C22semidirect
87. C2×#10625335Q8semidirect
216. C2×Dic94C2×Q8semidirect
235. #10625335C2×Q8semidirect
262. C2×C47⋊C8C2×Q8semidirect
313. Dic94C22×Q8semidirect
317. C47⋊C8C22×Q8semidirect
360. C2×C47#3386semidirect
424. C47C2×#3386semidirect
691. C2#20256304direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898502
C2×D4×Dic942
#202563042
C2×#156895332
C2×#156895302
C2×#156895272
C2×#156894192
C2×#156894172
C2×#156894072
C2×#156894212
C2×#156894012
C2×#156892522
C2×#156892232
C2×#156892202
C2×#156892142
C2×C47×#4782
C2×#338647