Finite Group Databasebeta

← C2×#20254592 #27088390

Subgroups — C2×#20254592 #27088390

Order 12032.

1770 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×#15689677C211yesmaximal, characteristic
2C2×#125×D47C211yesmaximal, characteristic
3#20254592C2116yesmaximal, direct product factor
4C2×#15689531C211yesmaximal, characteristic, complemented
5C2×#15689530C211yesmaximal, characteristic, complemented
6C2×#15689490C211yesmaximal, characteristic, complemented
7C2×#15689490C211yesmaximal, characteristic, complemented
8C2×#15689460C211yesmaximal, characteristic
9C2×#15689457C211yesmaximal, characteristic
10C2×#15689455C211yesmaximal, characteristic
11C2×#15689452C211yesmaximal, characteristic
12C2×#15689431C211yesmaximal, characteristic, complemented
13C2×#15689430C211yesmaximal, characteristic, complemented
14C2×#15689427C211yesmaximal, characteristic, complemented
15C2×#15689179C211yesmaximal, characteristic
16C2×C47×#479C211yesmaximal, characteristic, complemented
17#15689677—24no—
18#15689677C2218yes—
19C2×#13094023C2211yescharacteristic
20C2×#13094022C2211yescharacteristic
21C2×#13094016C2211yescharacteristic
22C2×#13094015C2211yescharacteristic
23C2×#13094015C2211yescharacteristic
24C2×#13094014—21no—
25C2×#13094014—21no—
26C2×#13094014—21no—
27#125×D47—24no—
28#125×D47C2218yes—
29C2×#13094004C2211yescharacteristic
30C2×#13094002—21no—
31C2×#13094000C2211yescharacteristic
32C2×C4×Dic94—21no—
33C2×C4×Dic94C2211yescharacteristic
34C2×#13093981—21no—
35C2×C4⋊C4×D47—21no—
36C2×C4⋊C4×D47—21no—
37C2×C4⋊C4×D47C2211yescharacteristic
38C2×C4⋊C4×D47C2211yescharacteristic
39C2×C42×D47C2211yescharacteristic
40#15689531C2218yescomplemented
41#15689530C2218yescomplemented
42#15689490C2218yescomplemented
43#15689490C2218yescomplemented
44#15689460C2218yes—
45#15689457C2218yes—
46#15689455C2218yes—
47#15689452C2218yes—
48#15689431C2218yescomplemented
49#15689430C2218yescomplemented
50#15689427C2218yescomplemented
51#15689179C2218yes—
52C2×#13093958C2211yescharacteristic
53C2×#13093957C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093956C2211yescharacteristic
56C2×#13093955C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×C4⋊(C47⋊C8)C2211yescharacteristic
59C2×#13093949C2211yescharacteristic
60C2×#13093949C2211yescharacteristic
61C2×#13093948C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093947C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×(C2×D47)⋊C8C2211yescharacteristic
66C2×(C2×D47)⋊C8C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×#13093934C2211yescharacteristic
69C2×#125×C47C2211yescharacteristic
70C2×C4×Q8×C47C2211yescharacteristic
71C47×#479C2218yescomplemented
72C2×#107×C47C2211yescharacteristic
73C2×#106×C47C2211yescharacteristic
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×#103×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94C2311yescharacteristic
79C22×C4×D47—21no—
80C22×C4×D47—21no—
81C22×C4×D47D411yescharacteristic
82C22×C4×D47D411yescharacteristic
83C22×C4×D47C2311yescharacteristic
84C22×C47⋊C8C2311yescharacteristic
85C22×C47⋊C8C2311yescharacteristic
86#13094023—22no—
87#13094023C2314yes—
88#13094022—22no—
89#13094022C2314yes—
90#13094016—22no—
91#13094016C2314yes—
92#13094015—22no—
93#13094015—22no—
94#13094015C2314yes—
95#13094015C2314yes—
96#13094014—28no—
97#13094014—28no—
98#13094014—28no—
99#13094004—22no—
100#13094004C2314yes—
101#13094002—28no—
102#13094000—22no—
103#13094000C2314yes—
104C4×Dic94—22no—
105C4×Dic94—28no—
106C4×Dic94C2314yes—
107#13093981—28no—
108C2×C4⋊Dic47—21no—
109C2×C4⋊Dic47—21no—
110C2×C4⋊Dic47—21no—
111C2×C4⋊Dic47C2311yescharacteristic
112C2×C4⋊Dic47C2311yescharacteristic
113C2×C4⋊Dic47C2311yescharacteristic
114C2×Dic47⋊C4—21no—
115C2×Dic47⋊C4—21no—
116C2×Dic47⋊C4—21no—
117C2×Dic47⋊C4—21no—
118C2×Dic47⋊C4—21no—
119C2×Dic47⋊C4—21no—
120C2×Dic47⋊C4—21no—
121C2×Dic47⋊C4—21no—
122C2×Dic47⋊C4—21no—
123C2×Dic47⋊C4—21no—
124C2×Dic47⋊C4—21no—
125C4⋊C4×D47—28no—
126C4⋊C4×D47—28no—
127C4⋊C4×D47—22no—
128C4⋊C4×D47—22no—
129C4⋊C4×D47C2314yes—
130C4⋊C4×D47C2314yes—
131C2×(C2×D47)⋊C4—21no—
132C2×(C2×D47)⋊C4—21no—
133C2×C4×Dic47—21no—
134C2×C4×Dic47D411yescharacteristic
135C2×C4×Dic47D411yescharacteristic
136C2×C4×Dic47C2311yescharacteristic
137C42×D47D414yes—
138C42×D47C2314yes—
139#13093958C2314yes—
140#13093957C2314yes—
141#13093957C2314yes—
142#13093956C2314yes—
143#13093955C2314yes—
144#13093955C2314yes—
145C4⋊(C47⋊C8)C2314yes—
146#13093949C2314yes—
147#13093949C2314yes—
148#13093948C2314yes—
149#13093948C2314yes—
150#13093947C2314yes—
151#13093947C2314yes—
152(C2×D47)⋊C8C2314yes—
153(C2×D47)⋊C8C2314yes—
154#13093934C2314yes—
155#13093934C2314yes—
156C22×Q8×C47C2311yescharacteristic
157C22×C8×C47C2311yescharacteristic
158C22×C8×C47C2311yescharacteristic
159#125×C47—22no—
160#125×C47C2314yes—
161C4×Q8×C47—22no—
162C4×Q8×C47C2314yes—
163C2×C4⋊C4×C47—21no—
164C2×C4⋊C4×C47—21no—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47C2311yescharacteristic
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C42×C47—21no—
170C2×C42×C47C2311yescharacteristic
171#107×C47C2314yes—
172#106×C47C2314yes—
173C4⋊C8×C47C2314yes—
174#103×C47C2314yes—
175#103×C47C2314yes—
176C23×D47C2×D411yescharacteristic
177C2×Q8×C47—21no—
178C2×Q8×C47—22no—
179C2×Q8×C47—22no—
180C2×Q8×C47C2412yes—
181C22×C4×C47—21no—
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2411yescharacteristic
188C22×Dic47—21no—
189C22×Dic47—21no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47C2×D411yescharacteristic
193C22×Dic47C2×D411yescharacteristic
194C22×Dic47C2×D411yescharacteristic
195C2×C4×D47—24no—
196C2×C4×D47—22no—
197C2×C4×D47—22no—
198C2×C4×D47—24no—
199C2×C4×D47—24no—
200C2×C4×D47—42no—
201C2×C4×D47—44no—
202C2×C4×D47—44no—
203C2×C4×D47C2×D412yes—
204C2×C4×D47C2×D414yes—
205C2×C4×D47C2×D414yes—
206C2×C4×D47C2412yes—
207C2×Dic94—22no—
208C2×Dic94—22no—
209C2×Dic94—21no—
210C2×Dic94—24no—
211C2×Dic94—44no—
212C2×Dic94C2412yes—
213C2×C8×C47—22no—
214C2×C8×C47—22no—
215C2×C8×C47C2412yes—
216C2×C8×C47C2412yes—
217C4⋊C4×C47—24no—
218C4⋊C4×C47—24no—
219C4⋊C4×C47—24no—
220C4⋊C4×C47—21no—
221C4⋊C4×C47—21no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47C2412yes—
224C4⋊C4×C47C2412yes—
225C4⋊C4×C47C2412yes—
226C42×C47—24no—
227C42×C47C2×D412yes—
228C42×C47C2412yes—
229(C2×D47)⋊C4—24no—
230(C2×D47)⋊C4—24no—
231C4⋊Dic47—21no—
232C4⋊Dic47—21no—
233C4⋊Dic47—21no—
234C4⋊Dic47—24no—
235C4⋊Dic47—24no—
236C4⋊Dic47—24no—
237C4⋊Dic47C2412yes—
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⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251C4×Dic47—24no—
252C4×Dic47C2×D412yes—
253C4×Dic47C2×D414yes—
254C4×Dic47C2×D414yes—
255C4×Dic47C2412yes—
256C2×C47⋊C8—22no—
257C2×C47⋊C8—22no—
258C2×C47⋊C8C2412yes—
259C2×C47⋊C8C2412yes—
260C23×C47C22×D411yescharacteristic
261C22×D47—22no—
262C22×D47—22no—
263C22×D47#13714yes—
264C22×D47C22×D412yes—
265Q8×C47—22no—
266Q8×C47—22no—
267Q8×C47—42no—
268C2×C4×C47—22no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47C22×D412yes—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D411yescharacteristic
281C2×C4×C472−1+412yes—
282C2×C4×C472−1+412yes—
283C2×C4×C47C2511yescharacteristic
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×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297C2×Dic47C22×D412yes—
298C4×D47—28no—
299C4×D47—24no—
300C4×D47—22no—
301C4×D47—22no—
302C4×D47—44no—
303C4×D47—48no—
304C4×D47—48no—
305Dic94—22no—
306Dic94—22no—
307Dic94—48no—
308Dic94—42no—
309C8×C47—22no—
310C8×C47—22no—
311C47⋊C8—22no—
312C47⋊C8—22no—
313C2×#3236—471nomaximal, Sylow
314C22×C47#53612yes—
315C22×C47C2×#13712yes—
316C22×C47#57512yes—
317C22×C47C23×D411yescharacteristic
318C2×D47—22no—
319C2×D47—28no—
320C2×D47—22no—
321C2×D47C2×#13714yes—
322C4×C47—22no—
323C4×C47—22no—
324C4×C47—42no—
325C4×C47—42no—
326C4×C47—42no—
327C4×C47—42no—
328C4×C47#53612yes—
329C4×C47C2×2−1+411yescharacteristic
330C4×C47C2×2−1+411yescharacteristic
331Dic47—22no—
332Dic47—22no—
333Dic47—22no—
334Dic47—42no—
335Dic47—42no—
336Dic47—42no—
337Dic47—42no—
338C2×#533—471no—
339C22×#125—471no—
340#3236—4716no—
341C2×#501—471no—
342C2×#501—471no—
343C2×#491—471no—
344C2×#491—471no—
345C2×#484—471no—
346C2×#484—471no—
347C2×#483—471no—
348C2×#483—471no—
349C2×#479—471no—
350C2×#479—471no—
351C2×#479—471no—
352C2×#479D4711yescharacteristic, complemented
353C2×#432—471no—
354C2×C47#323614yescomplemented
355C2×C47C2×#53611yescharacteristic
356C2×C47C22×#13711yescharacteristic
357C2×C47C2×#57511yescharacteristic
358D47—24no—
359#533—478no—
360#533—944no—
361C2×C4⋊Q8—471no—
362C2×C4⋊Q8—471no—
363C2×#125—478no—
364C2×#125—471no—
365C2×#125—471no—
366C2×#125—471no—
367C2×#125—941no—
368C2×#125—941no—
369C2×#125—941no—
370C2×#125—944no—
371C2×#125C2×D4711yescharacteristic
372C2×C22⋊Q8—471no—
373C2×C22⋊Q8—471no—
374C2×C22⋊Q8—941no—
375C2×C4×Q8—471no—
376C2×C4×Q8—941no—
377C2×C4×Q8C2×D4711yescharacteristic
378C2×#117—941no—
379C22×C4⋊C4—471no—
380C22×C4⋊C4—471no—
381C22×C4⋊C4—941no—
382C22×C4⋊C4—941no—
383C22×C42—471no—
384#501—478no—
385#501—478no—
386#491—478no—
387#491—478no—
388#484—478no—
389#484—478no—
390#483—478no—
391#483—478no—
392#479—478no—
393#479—478no—
394#479—478no—
395#479C2×D4718yescomplemented
396#432—478no—
397C2×#107—471no—
398C2×#107—471no—
399C2×#107—471no—
400C2×#107C2×D4711yescharacteristic
401C2×#106—471no—
402C2×#106—471no—
403C2×#106—471no—
404C2×#106C2×D4711yescharacteristic
405C2×C4⋊C8—471no—
406C2×C4⋊C8C2×D4711yescharacteristic
407C2×#103—471no—
408C2×#103—471no—
409C2×#103—471no—
410C2×#103—471no—
411C2×#103—471no—
412C2×#103—471no—
413C2×#103C2×D4711yescharacteristic
414C2×#103C2×D4711yescharacteristic
415C2×C22⋊C8—471no—
416C2×C22⋊C8—471no—
417C2×#97—471no—
418C2×#97—471no—
419C47C2×#323611yescharacteristic, complemented, Sylow
420C22×Q8—471no—
421C22×Q8—941no—
422C22×Q8C22×D4711yescharacteristic
423C23×C4—471no—
424C23×C4—471no—
425C23×C4—471no—
426C23×C4—941no—
427C23×C4—941no—
428C22×C8—471no—
429C22×C8—471no—
430C22×C8C22×D4711yescharacteristic
431C22×C8C22×D4711yescharacteristic
432C4⋊Q8—474no—
433C4⋊Q8—474no—
434C4⋊Q8—942no—
435C4⋊Q8—942no—
436#125—22no—
437#125—474no—
438#125—474no—
439#125—474no—
440#125—948no—
441#125—948no—
442#125—942no—
443#125—942no—
444#125—948no—
445#125—942no—
446#125C22×D4714yes—
447C22⋊Q8—474no—
448C22⋊Q8—474no—
449C22⋊Q8—942no—
450C22⋊Q8—948no—
451C22⋊Q8—942no—
452C4×Q8—22no—
453C4×Q8—474no—
454C4×Q8—948no—
455C4×Q8—942no—
456C4×Q8C22×D4714yes—
457#117—948no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—471no—
462C2×C4⋊C4—471no—
463C2×C4⋊C4—471no—
464C2×C4⋊C4—474no—
465C2×C4⋊C4—474no—
466C2×C4⋊C4—942no—
467C2×C4⋊C4—942no—
468C2×C4⋊C4—948no—
469C2×C4⋊C4—948no—
470C2×C4⋊C4—941no—
471C2×C4⋊C4—941no—
472C2×C4⋊C4—941no—
473C2×C4⋊C4—941no—
474C2×C4⋊C4—941no—
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⋊C4C22×D4711yescharacteristic
485C2×C4⋊C4C22×D4711yescharacteristic
486C2×C4⋊C4C22×D4711yescharacteristic
487C2×C22⋊C4—941no—
488C2×C22⋊C4—941no—
489C2×C42—21no—
490C2×C42—471no—
491C2×C42—471no—
492C2×C42—471no—
493C2×C42—474no—
494C2×C42—474no—
495C2×C42—941no—
496C2×C42C22×D4711yescharacteristic
497#107—474no—
498#107—474no—
499#107—474no—
500#107C22×D4714yes—
501#106—474no—
502#106—474no—
503#106—474no—
504#106C22×D4714yes—
505C4⋊C8—474no—
506C4⋊C8C22×D4714yes—
507#103—474no—
508#103—474no—
509#103—474no—
510#103—474no—
511#103—474no—
512#103—474no—
513#103C22×D4714yes—
514#103C22×D4714yes—
515C22⋊C8—474no—
516C22⋊C8—474no—
517#97—474no—
518#97—474no—
519C24—471no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—472no—
524C2×Q8—944no—
525C2×Q8—941no—
526C2×Q8—942no—
527C2×Q8—942no—
528C2×Q8—1884no—
529C2×Q8C23×D4712yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—471no—
535C22×C4—471no—
536C22×C4—471no—
537C22×C4—474no—
538C22×C4—472no—
539C22×C4—472no—
540C22×C4—474no—
541C22×C4—944no—
542C22×C4—944no—
543C22×C4—944no—
544C22×C4—942no—
545C22×C4—942no—
546C22×C4—941no—
547C22×C4—941no—
548C22×C4—941no—
549C22×C4—941no—
550C22×C4—1882no—
551C22×C4—1884no—
552C22×C4—1884no—
553C22×C4D4×D4711yescharacteristic
554C22×C4D4×D4711yescharacteristic
555C22×C4C23×D4711yescharacteristic
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—472no—
559C2×C8—472no—
560C2×C8—942no—
561C2×C8—942no—
562C2×C8C23×D4712yes—
563C2×C8C23×D4712yes—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—472no—
571C4⋊C4—472no—
572C4⋊C4—472no—
573C4⋊C4—944no—
574C4⋊C4—944no—
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—944no—
586C4⋊C4—944no—
587C4⋊C4—941no—
588C4⋊C4—941no—
589C4⋊C4—941no—
590C4⋊C4C23×D4712yes—
591C4⋊C4C23×D4712yes—
592C4⋊C4C23×D4712yes—
593C22⋊C4—944no—
594C22⋊C4—944no—
595C42—24no—
596C42—474no—
597C42—474no—
598C42—472no—
599C42—472no—
600C42—944no—
601C42D4×D4712yes—
602C42C23×D4712yes—
603C23—474no—
604C23—472no—
605C23—942no—
606C23—942no—
607C23C2×D4×D4711yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—42no—
611Q8—942no—
612Q8—942no—
613Q8—1888no—
614Q8—1882no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—472no—
626C2×C4—472no—
627C2×C4—472no—
628C2×C4—948no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—944no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—1884no—
640C2×C4—1888no—
641C2×C4—1888no—
642C2×C4—1882no—
643C2×C4—1882no—
644C2×C4—1882no—
645C2×C4—1882no—
646C2×C4C2×D4×D4712yes—
647C2×C4C2×D4×D4712yes—
648C2×C4C2×D4×D4711yescharacteristic
649C2×C4#1309407112yes—
650C2×C4#1309407212yes—
651C2×C4C24×D4711yescharacteristic
652C8—22no—
653C8—22no—
654C8—942no—
655C8—942no—
656C22—474no—
657C22—942no—
658C22—948no—
659C22—942no—
660C22#1568969612yes—
661C22#137×D4712yes—
662C22#1568992012yes—
663C22C22×D4×D4711yescharacteristic
664C4—22no—
665C4—22no—
666C4—42no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—942no—
671C4—942no—
672C4—942no—
673C4—1882no—
674C4—1882no—
675C4—1882no—
676C4—1882no—
677C4#1568969612yes—
678C4C2×#1309407111yescharacteristic
679C4C2×#1309407211yescharacteristic
680C2—944no—
681C2#2025459214yesdirect product factor
682C2C2×#1568969611yescharacteristic
683C2C2×#137×D4711yescharacteristic
684C2C2×#1568992011yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#479C2
socleC23×C47C22×D4
prime radicalC23×D47C2×D4
hypercenterC2×#479D47
hypocenterC47C2×#3236
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #20254592C2direct (N × H)
4. C2×#15689531C2semidirect
5. C2×#15689530C2semidirect
6. C2×#15689490C2semidirect
7. C2×#15689490C2semidirect
12. C2×#15689431C2semidirect
13. C2×#15689430C2semidirect
14. C2×#15689427C2semidirect
16. C2×C47×#479C2semidirect
40. #15689531C22semidirect
41. #15689530C22semidirect
42. #15689490C22semidirect
43. #15689490C22semidirect
48. #15689431C22semidirect
49. #15689430C22semidirect
50. #15689427C22semidirect
71. C47×#479C22semidirect
352. C2×#479D47semidirect
354. C2×C47#3236semidirect
395. #479C2×D47semidirect
419. C47C2×#3236semidirect
681. C2#20254592direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896772
C2×#125×D472
#202545922
C2×#156895312
C2×#156895302
C2×#156894902
C2×#156894602
C2×#156894572
C2×#156894552
C2×#156894522
C2×#156894312
C2×#156894302
C2×#156894272
C2×#156891792
C2×C47×#4792
C2×#323647