Finite Group Databasebeta

← C2×#20256328 #27096800

Subgroups — C2×#20256328 #27096800

Order 12032.

1822 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
1C2×#15689848C211yesmaximal, characteristic, complemented
2C2×#15689829C211yesmaximal, characteristic
3#20256328C2116yesmaximal, direct product factor
4C2×#15689530C211yesmaximal, characteristic, complemented
5C2×#15689524C211yesmaximal, characteristic, complemented
6C2×#15689429C211yesmaximal, characteristic, complemented
7C2×#15689427C211yesmaximal, characteristic, complemented
8C2×#15689407C211yesmaximal, characteristic, complemented
9C2×#15689426C211yesmaximal, characteristic
10C2×#15689422C211yesmaximal, characteristic
11C2×#15689410C211yesmaximal, characteristic
12C2×#15689251C211yesmaximal, characteristic, complemented
13C2×#15689225C211yesmaximal, characteristic
14C2×#15689222C211yesmaximal, characteristic
15C2×#15689210C211yesmaximal, characteristic
16C2×C47×#501C211yesmaximal, characteristic, complemented
17C22×#10625325C2211yescharacteristic
18#15689848—24no—
19#15689848C2218yescomplemented
20#15689829—24no—
21#15689829C2218yes—
22C2×#13094023C2211yescharacteristic
23C2×#13094022—21no—
24C2×#13094015C2211yescharacteristic
25C2×#13094015C2211yescharacteristic
26C2×#13094015C2211yescharacteristic
27C2×#13094014—21no—
28C2×#13094014—21no—
29C2×#13094004—21no—
30C2×#13094002—21no—
31C2×#13094002—21no—
32C2×Q8×Dic47—21no—
33C2×C4×Dic94C2211yescharacteristic
34C2×C4×Dic94C2211yescharacteristic
35C2×#13093989C2211yescharacteristic
36C2×#13093989C2211yescharacteristic
37C2×C4×D188C2211yescharacteristic
38C2×#13093986C2211yescharacteristic
39C2×#13093986C2211yescharacteristic
40C2×C4⋊C4×D47—21no—
41#15689530C2218yescomplemented
42#15689524C2218yescomplemented
43#15689429C2218yescomplemented
44#15689427C2218yescomplemented
45#15689426C2218yes—
46#15689422C2218yes—
47#15689410C2218yes—
48#15689407C2218yescomplemented
49#15689251C2218yescomplemented
50#15689225C2218yes—
51#15689222C2218yes—
52#15689210C2218yes—
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093955C2211yescharacteristic
56C2×#13093955C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×C4⋊(C47⋊C8)C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093947C2211yescharacteristic
63C2×#13093947C2211yescharacteristic
64C2×#13093946C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×#13093944C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×#125×C47C2211yescharacteristic
71C47×#501C2218yescomplemented
72C2×#107×C47C2211yescharacteristic
73C2×#107×C47C2211yescharacteristic
74C2×#106×C47C2211yescharacteristic
75C2×#106×C47C2211yescharacteristic
76C2×#97×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×D188C2311yescharacteristic
81C22×C4×D47—21no—
82C22×C4×D47—21no—
83C22×C4×D47—21no—
84C2×#10625325Q818yescomplemented
85C2×#10625325C2314yes—
86C22×C47⋊C8C2311yescharacteristic
87C22×C47⋊C8C2311yescharacteristic
88#13094023—22no—
89#13094023C2314yes—
90#13094022—28no—
91#13094015—22no—
92#13094015—22no—
93#13094015—22no—
94#13094015C2314yes—
95#13094015C2314yes—
96#13094015C2314yes—
97#13094014—28no—
98#13094014—28no—
99#13094004—28no—
100#13094002—28no—
101#13094002—28no—
102Q8×Dic47—28no—
103C4×Dic94—22no—
104C4×Dic94D414yes—
105C4×Dic94C2314yes—
106C4×Dic94C2314yes—
107#13093989—22no—
108#13093989—22no—
109#13093989C2314yes—
110#13093989C2314yes—
111C4×D188—22no—
112C4×D188C2314yes—
113#13093986—22no—
114#13093986—22no—
115#13093986C2314yes—
116#13093986C2314yes—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47—21no—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47D411yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
123C2×Dic47⋊C4—21no—
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4D411yescharacteristic
131C2×Dic47⋊C4D411yescharacteristic
132C4⋊C4×D47—28no—
133C2×(C2×D47)⋊C4—21no—
134C2×(C2×D47)⋊C4—21no—
135C2×(C2×D47)⋊C4—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47C2311yescharacteristic
140C2×C4×Dic47C2311yescharacteristic
141#13093958C2314yes—
142#13093957C2314yes—
143#13093955C2314yes—
144#13093955C2314yes—
145#13093955C2314yes—
146C4⋊(C47⋊C8)C2314yes—
147Dic47⋊C8C2314yes—
148Dic47⋊C8C2314yes—
149#13093949C2314yes—
150#13093947C2314yes—
151#13093947C2314yes—
152#13093946C2314yes—
153#13093944C2314yes—
154#13093944C2314yes—
155#13093934C2314yes—
156C8×Dic47C2314yes—
157C22×Q8×C47—21no—
158C22×C8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C4⋊Q8×C47—22no—
161C4⋊Q8×C47C2314yes—
162#125×C47—22no—
163#125×C47C2314yes—
164C2×C4⋊C4×C47—21no—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47—21no—
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C42×C47C2311yescharacteristic
172#107×C47C2314yes—
173#107×C47C2314yes—
174#106×C47C2314yes—
175#106×C47C2314yes—
176#97×C47C2314yes—
177C23×D47—21no—
178C2×Q8×C47—24no—
179C2×Q8×C47—44no—
180C22×C4×C47—21no—
181C22×C4×C47—21no—
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47C2×D411yescharacteristic
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2411yescharacteristic
187C22×Dic47—21no—
188C22×Dic47—21no—
189C22×Dic47—21no—
190C22×Dic47C2×D411yescharacteristic
191C22×Dic47C2×D411yescharacteristic
192C22×Dic47C2×D411yescharacteristic
193C22×Dic47C2×D411yescharacteristic
194C2×D188—21no—
195C2×D188—22no—
196C2×D188C2×Q814yes—
197C2×D188C2412yes—
198C2×C4×D47—24no—
199C2×C4×D47—24no—
200C2×C4×D47—24no—
201C2×C4×D47—44no—
202C2×C4×D47—82no—
203C2×C4×D47—82no—
204C2×Dic94—21no—
205C2×Dic94—22no—
206C2×Dic94—24no—
207C2×Dic94—42no—
208C2×Dic94—82no—
209C2×Dic94C2×D414yes—
210C2×Dic94C2×Q814yes—
211C2×Dic94C2412yes—
212C2×C8×C47—22no—
213C2×C8×C47C2×Q814yes—
214C2×C8×C47C2412yes—
215C2×C8×C47C2412yes—
216C4⋊C4×C47—24no—
217C4⋊C4×C47—24no—
218C4⋊C4×C47—24no—
219C4⋊C4×C47—21no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47C2412yes—
224C4⋊C4×C47C2412yes—
225C4⋊C4×C47C2412yes—
226C4⋊C4×C47C2412yes—
227C42×C47C2×D412yes—
228C42×C47C2412yes—
229(C2×D47)⋊C4—24no—
230(C2×D47)⋊C4—24no—
231(C2×D47)⋊C4—24no—
232C4⋊Dic47—21no—
233C4⋊Dic47—21no—
234C4⋊Dic47—24no—
235C4⋊Dic47—24no—
236C4⋊Dic47—24no—
237C4⋊Dic47C2×D414yes—
238C4⋊Dic47C2412yes—
239C4⋊Dic47C2412yes—
240Dic47⋊C4—24no—
241Dic47⋊C4—24no—
242Dic47⋊C4—24no—
243Dic47⋊C4—24no—
244Dic47⋊C4—24no—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4C2×D414yes—
248Dic47⋊C4C2×D414yes—
249C4×Dic47—24no—
250C4×Dic47—24no—
251C4×Dic47—24no—
252C4×Dic47C2×D412yes—
253C4×Dic47C2×D412yes—
254C4×Dic47C2412yes—
255C4×Dic47C2412yes—
256C2×C47⋊C8—22no—
257C2×C47⋊C8—22no—
258C2×C47⋊C8C2412yes—
259C2×C47⋊C8C2412yes—
260#10625325C2×Q8116yescomplemented
261C23×C47C22×D411yescharacteristic
262C22×D47—24no—
263C22×D47—22no—
264C22×D47—42no—
265C22×D47—42no—
266Q8×C47—48no—
267C2×C4×C47—22no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—42no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—42no—
277C2×C4×C47C22×D412yes—
278C2×C4×C47C22×D412yes—
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47C22×Q812yes—
281C2×C4×C472−1+412yes—
282C2×C4×C47C2511yescharacteristic
283C2×Dic47—24no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47C22×D412yes—
294C2×Dic47C22×D412yes—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297D188—24no—
298D188—22no—
299D188C22×Q814yes—
300C4×D47—48no—
301C4×D47—84no—
302C4×D47—84no—
303Dic94—24no—
304Dic94—22no—
305Dic94—44no—
306Dic94—84no—
307Dic94C22×Q814yes—
308C8×C47—22no—
309C8×C47C22×Q814yes—
310C47⋊C8—22no—
311C47⋊C8—22no—
312C2×#3388—471nomaximal, Sylow
313C22×C47D4×Q812yes—
314C22×C47#57512yes—
315C22×C47#57712yes—
316C22×C47C23×D411yescharacteristic
317C2×D47—24no—
318C2×D47—48no—
319C2×D47—42no—
320C2×D47—42no—
321C4×C47—22no—
322C4×C47—22no—
323C4×C47—42no—
324C4×C47—42no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47D4×Q812yes—
328C4×C47C23×Q811yescharacteristic
329C4×C47C2×2−1+411yescharacteristic
330Dic47—24no—
331Dic47—22no—
332Dic47—22no—
333Dic47—22no—
334Dic47—22no—
335Dic47—42no—
336Dic47—42no—
337C2×#557—471no—
338C2×#554—471no—
339#3388—4716no—
340C2×#501—471no—
341C2×#501D4711yescharacteristic, complemented
342C2×#499—471no—
343C2×#479—471no—
344C2×#479—471no—
345C2×#475—471no—
346C2×#478—471no—
347C2×#478—471no—
348C2×#476—471no—
349C2×#446—471no—
350C2×#440—471no—
351C2×#440—471no—
352C2×C4×SD16—471no—
353C2×C47#338814yescomplemented
354C2×C47C2×D4×Q811yescharacteristic
355C2×C47C2×#57511yescharacteristic
356C2×C47C2×#57711yescharacteristic
357D47—44no—
358C22×SD16—471no—
359#557—478no—
360#557—944no—
361#554—478no—
362#554—944no—
363C2×C4⋊Q8—471no—
364C2×C4⋊Q8—941no—
365C2×C4⋊Q8C2×D4711yescharacteristic
366C2×#125—471no—
367C2×#125—471no—
368C2×#125—471no—
369C2×#125—941no—
370C2×#125—941no—
371C2×#125C2×D4711yescharacteristic
372C2×C22⋊Q8—941no—
373C2×C22⋊Q8—941no—
374C2×C22⋊Q8—941no—
375C2×C4×Q8—471no—
376C2×C4×Q8—471no—
377C2×C4×Q8—471no—
378C2×C4×Q8—471no—
379C2×C4×Q8—941no—
380C2×C4×D4—471no—
381C2×C4×D4—471no—
382C2×C4×D4—471no—
383C22×C4⋊C4—941no—
384#501—478no—
385#501C2×D4718yescomplemented
386#499—478no—
387#479—478no—
388#479—478no—
389#478—478no—
390#478—478no—
391#476—478no—
392#475—478no—
393#446—478no—
394#440—478no—
395#440—478no—
396C4×SD16—478no—
397C2×#107—471no—
398C2×#107—471no—
399C2×#107C2×D4711yescharacteristic
400C2×#107C2×D4711yescharacteristic
401C2×#106—471no—
402C2×#106—471no—
403C2×#106—471no—
404C2×#106C2×D4711yescharacteristic
405C2×#106C2×D4711yescharacteristic
406C2×C4⋊C8—471no—
407C2×C4⋊C8—471no—
408C2×C4⋊C8—471no—
409C2×#103—471no—
410C2×#103—471no—
411C2×#103—471no—
412C2×#102—471no—
413C2×#102—471no—
414C2×#102—471no—
415C2×#97—471no—
416C2×#97C2×D4711yescharacteristic
417C2×C4×C8—471no—
418C47C2×#338811yescharacteristic, complemented, Sylow
419C22×Q8—21no—
420C22×Q8—471no—
421C22×Q8—471no—
422C22×Q8—941no—
423C22×D4—471no—
424C23×C4—941no—
425C23×C4—941no—
426C23×C4—941no—
427C2×SD16—478no—
428C2×SD16—474no—
429C22×C8—471no—
430C22×C8—471no—
431C22×C8C22×D4711yescharacteristic
432C22×C8C22×D4711yescharacteristic
433C4⋊Q8—22no—
434C4⋊Q8—474no—
435C4⋊Q8—942no—
436C4⋊Q8—948no—
437C4⋊Q8C22×D4714yes—
438#125—22no—
439#125—474no—
440#125—474no—
441#125—474no—
442#125—942no—
443#125—942no—
444#125—942no—
445#125—948no—
446#125—948no—
447#125C22×D4714yes—
448C22⋊Q8—948no—
449C22⋊Q8—948no—
450C22⋊Q8—948no—
451C4×Q8—474no—
452C4×Q8—474no—
453C4×Q8—474no—
454C4×Q8—474no—
455C4×Q8—474no—
456C4×Q8—942no—
457C4×Q8—942no—
458C4×Q8—948no—
459C4×Q8—942no—
460C4×D4—474no—
461C4×D4—474no—
462C4×D4—474no—
463C4×D4—942no—
464C4×D4—942no—
465C4×D4—942no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—471no—
470C2×C4⋊C4—471no—
471C2×C4⋊C4—471no—
472C2×C4⋊C4—471no—
473C2×C4⋊C4—471no—
474C2×C4⋊C4—948no—
475C2×C4⋊C4—941no—
476C2×C4⋊C4—941no—
477C2×C4⋊C4—941no—
478C2×C4⋊C4—941no—
479C2×C4⋊C4—941no—
480C2×C4⋊C4—941no—
481C2×C4⋊C4—941no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4C22×D4711yescharacteristic
486C2×C4⋊C4C22×D4711yescharacteristic
487C2×C4⋊C4C22×D4711yescharacteristic
488C2×C4⋊C4C22×D4711yescharacteristic
489C2×C22⋊C4—941no—
490C2×C22⋊C4—941no—
491C2×C22⋊C4—941no—
492C2×C42—471no—
493C2×C42—471no—
494C2×C42—941no—
495C2×C42—941no—
496C2×C42—941no—
497C2×C42C22×D4711yescharacteristic
498#107—474no—
499#107—474no—
500#107C22×D4714yes—
501#107C22×D4714yes—
502#106—474no—
503#106—474no—
504#106—474no—
505#106C22×D4714yes—
506#106C22×D4714yes—
507C4⋊C8—474no—
508C4⋊C8—474no—
509C4⋊C8—474no—
510#103—474no—
511#103—474no—
512#103—474no—
513#102—474no—
514#102—474no—
515#102—474no—
516#97—474no—
517#97C22×D4714yes—
518C4×C8—474no—
519C24—941no—
520C2×Q8—24no—
521C2×Q8—44no—
522C2×Q8—474no—
523C2×Q8—474no—
524C2×Q8—472no—
525C2×Q8—944no—
526C2×Q8—941no—
527C2×Q8—942no—
528C2×Q8—3762no—
529C2×Q8—1882no—
530C2×D4—474no—
531C2×D4—472no—
532C2×D4—941no—
533C2×D4—942no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—471no—
539C22×C4—471no—
540C22×C4—471no—
541C22×C4—471no—
542C22×C4—944no—
543C22×C4—944no—
544C22×C4—941no—
545C22×C4—941no—
546C22×C4—941no—
547C22×C4—944no—
548C22×C4—3762no—
549C22×C4—3762no—
550C22×C4—1884no—
551C22×C4D4×D4711yescharacteristic
552C22×C4D4×D4711yescharacteristic
553C22×C4C23×D4711yescharacteristic
554SD16—4716no—
555C2×C8—22no—
556C2×C8—472no—
557C2×C8—472no—
558C2×C8—942no—
559C2×C8—942no—
560C2×C8Q8×D4714yes—
561C2×C8C23×D4712yes—
562C2×C8C23×D4712yes—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—474no—
571C4⋊C4—474no—
572C4⋊C4—474no—
573C4⋊C4—472no—
574C4⋊C4—472no—
575C4⋊C4—944no—
576C4⋊C4—944no—
577C4⋊C4—944no—
578C4⋊C4—944no—
579C4⋊C4—944no—
580C4⋊C4—944no—
581C4⋊C4—944no—
582C4⋊C4—944no—
583C4⋊C4—944no—
584C4⋊C4—944no—
585C4⋊C4—941no—
586C4⋊C4—941no—
587C4⋊C4C23×D4712yes—
588C4⋊C4C23×D4712yes—
589C4⋊C4C23×D4712yes—
590C4⋊C4C23×D4712yes—
591C22⋊C4—944no—
592C22⋊C4—944no—
593C22⋊C4—944no—
594C42—472no—
595C42—472no—
596C42—472no—
597C42—472no—
598C42—944no—
599C42—944no—
600C42—944no—
601C42D4×D4712yes—
602C42C23×D4712yes—
603C23—944no—
604C23—942no—
605C23—1882no—
606C23—1882no—
607C23C2×D4×D4711yescharacteristic
608Q8—48no—
609Q8—474no—
610Q8—944no—
611Q8—942no—
612Q8—3764no—
613Q8—1884no—
614D4—474no—
615D4—944no—
616D4—942no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—472no—
628C2×C4—472no—
629C2×C4—472no—
630C2×C4—472no—
631C2×C4—944no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—3764no—
640C2×C4—3764no—
641C2×C4—1888no—
642C2×C4—1882no—
643C2×C4—1882no—
644C2×C4C2×D4×D4712yes—
645C2×C4C2×D4×D4712yes—
646C2×C4C2×D4×D4711yescharacteristic
647C2×C4C2×Q8×D4712yes—
648C2×C4#1309407212yes—
649C2×C4C24×D4711yescharacteristic
650C8—22no—
651C8—942no—
652C8—942no—
653C8C2×Q8×D4714yes—
654C22—944no—
655C22—1888no—
656C22—1882no—
657C22—1882no—
658C22#1568978812yes—
659C22#1568991912yes—
660C22#1568993212yes—
661C22C22×D4×D4711yescharacteristic
662C4—22no—
663C4—22no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—42no—
668C4—942no—
669C4—942no—
670C4—944no—
671C4—942no—
672C4—942no—
673C4—1882no—
674C4—1882no—
675C4#1568978812yes—
676C4C22×Q8×D4711yescharacteristic
677C4C2×#1309407211yescharacteristic
678C2—1884no—
679C2#2025632814yesdirect product factor
680C2C2×#1568978811yescharacteristic
681C2C2×#1568991911yescharacteristic
682C2C2×#1568993211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#501C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#501D47
hypocenterC47C2×#3388
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#15689848C2semidirect
3. #20256328C2direct (N × H)
4. C2×#15689530C2semidirect
5. C2×#15689524C2semidirect
6. C2×#15689429C2semidirect
7. C2×#15689427C2semidirect
8. C2×#15689407C2semidirect
12. C2×#15689251C2semidirect
16. C2×C47×#501C2semidirect
19. #15689848C22semidirect
41. #15689530C22semidirect
42. #15689524C22semidirect
43. #15689429C22semidirect
44. #15689427C22semidirect
48. #15689407C22semidirect
49. #15689251C22semidirect
71. C47×#501C22semidirect
84. C2×#10625325Q8semidirect
260. #10625325C2×Q8semidirect
341. C2×#501D47semidirect
353. C2×C47#3388semidirect
385. #501C2×D47semidirect
418. C47C2×#3388semidirect
679. C2#20256328direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898482
C2×#156898292
#202563282
C2×#156895302
C2×#156895242
C2×#156894292
C2×#156894272
C2×#156894072
C2×#156894262
C2×#156894222
C2×#156894102
C2×#156892512
C2×#156892252
C2×#156892222
C2×#156892102
C2×C47×#5012
C2×#338847