Finite Group Databasebeta

← C2×#20254649 #27088476

Subgroups — C2×#20254649 #27088476

Order 12032.

1678 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689750C211yesmaximal, characteristic
2C2×#15689734C211yesmaximal, characteristic
3#20254649C2116yesmaximal, direct product factor
4C2×#15689529C211yesmaximal, characteristic, complemented
5C2×#15689525C211yesmaximal, characteristic, complemented
6C2×#15689491C211yesmaximal, characteristic, complemented
7C2×#15689457C211yesmaximal, characteristic
8C2×#15689463C211yesmaximal, characteristic
9C2×#15689462C211yesmaximal, characteristic
10C2×#15689452C211yesmaximal, characteristic
11C2×#15689432C211yesmaximal, characteristic, complemented
12C2×#15689428C211yesmaximal, characteristic, complemented
13C2×#15689416C211yesmaximal, characteristic, complemented
14C2×#15689406C211yesmaximal, characteristic, complemented
15C2×#15689182C211yesmaximal, characteristic
16C2×C47×#487C211yesmaximal, characteristic, complemented
17#15689750—24no—
18#15689750C2218yes—
19#15689734—24no—
20#15689734C2218yes—
21C2×#13094023C2211yescharacteristic
22C2×#13094022—21no—
23C2×#13094019—21no—
24C2×#13094019—21no—
25C2×#13094016C2211yescharacteristic
26C2×#13094016C2211yescharacteristic
27C2×#13094015C2211yescharacteristic
28C2×#13094014—21no—
29C2×#13094014—21no—
30C2×#13094014—21no—
31C2×#13094002—21no—
32C2×#13094000—21no—
33C2×#13094000C2211yescharacteristic
34C2×#13094000C2211yescharacteristic
35C2×Q8×Dic47C2211yescharacteristic
36C2×Q8×Dic47C2211yescharacteristic
37C2×#13093982C2211yescharacteristic
38C2×#13093981C2211yescharacteristic
39C2×C4⋊C4×D47C2211yescharacteristic
40#15689529C2218yescomplemented
41#15689525C2218yescomplemented
42#15689491C2218yescomplemented
43#15689463C2218yes—
44#15689462C2218yes—
45#15689457C2218yes—
46#15689452C2218yes—
47#15689432C2218yescomplemented
48#15689428C2218yescomplemented
49#15689416C2218yescomplemented
50#15689406C2218yescomplemented
51#15689182C2218yes—
52C2×#13093958C2211yescharacteristic
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093957C2211yescharacteristic
56C2×#13093956C2211yescharacteristic
57C2×#13093956C2211yescharacteristic
58C2×#13093955C2211yescharacteristic
59C2×#13093955C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×Dic47⋊C8C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093948C2211yescharacteristic
65C2×#13093948C2211yescharacteristic
66C2×(C2×D47)⋊C8C2211yescharacteristic
67C2×(C2×D47)⋊C8C2211yescharacteristic
68C2×#13093935C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×C4⋊Q8×C47C2211yescharacteristic
71C47×#487C2218yescomplemented
72C2×#103×C47C2211yescharacteristic
73C2×#103×C47C2211yescharacteristic
74C2×#103×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×C4×D47—21no—
79C22×C4×D47C2311yescharacteristic
80C22×C47⋊C8C2311yescharacteristic
81C22×C47⋊C8C2311yescharacteristic
82#13094023—22no—
83#13094023C2314yes—
84#13094022—28no—
85#13094019—28no—
86#13094019—28no—
87#13094016—22no—
88#13094016—22no—
89#13094016C2314yes—
90#13094016C2314yes—
91#13094015—22no—
92#13094015C2314yes—
93#13094014—28no—
94#13094014—28no—
95#13094014—28no—
96#13094002—28no—
97#13094000—22no—
98#13094000—22no—
99#13094000—28no—
100#13094000C2314yes—
101#13094000C2314yes—
102Q8×Dic47—22no—
103Q8×Dic47—22no—
104Q8×Dic47C2314yes—
105Q8×Dic47C2314yes—
106#13093982—22no—
107#13093982C2314yes—
108#13093981D414yes—
109#13093981C2314yes—
110C2×C4⋊Dic47—21no—
111C2×C4⋊Dic47—21no—
112C2×C4⋊Dic47—21no—
113C2×C4⋊Dic47C2311yescharacteristic
114C2×C4⋊Dic47C2311yescharacteristic
115C2×C4⋊Dic47C2311yescharacteristic
116C2×C4⋊Dic47C2311yescharacteristic
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—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4D411yescharacteristic
127C2×Dic47⋊C4D411yescharacteristic
128C4⋊C4×D47—22no—
129C4⋊C4×D47C2314yes—
130C2×(C2×D47)⋊C4—21no—
131C2×(C2×D47)⋊C4—21no—
132C2×(C2×D47)⋊C4—21no—
133C2×(C2×D47)⋊C4D411yescharacteristic
134C2×(C2×D47)⋊C4D411yescharacteristic
135C2×C4×Dic47—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47C2311yescharacteristic
139#13093958C2314yes—
140#13093958C2314yes—
141#13093957C2314yes—
142#13093957C2314yes—
143#13093956C2314yes—
144#13093956C2314yes—
145#13093955C2314yes—
146#13093955C2314yes—
147Dic47⋊C8C2314yes—
148Dic47⋊C8C2314yes—
149#13093948C2314yes—
150#13093948C2314yes—
151#13093948C2314yes—
152#13093948C2314yes—
153(C2×D47)⋊C8C2314yes—
154(C2×D47)⋊C8C2314yes—
155#13093935C2314yes—
156C22×Q8×C47—21no—
157C22×Q8×C47C2311yescharacteristic
158C22×Q8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C22×C8×C47C2311yescharacteristic
161C4⋊Q8×C47—22no—
162C4⋊Q8×C47—22no—
163C4⋊Q8×C47C2314yes—
164C4⋊Q8×C47C2314yes—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47—21no—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C42×C47C2311yescharacteristic
171#103×C47C2314yes—
172#103×C47C2314yes—
173#103×C47C2314yes—
174#103×C47C2314yes—
175C4×C8×C47C2314yes—
176C23×D47C2×D411yescharacteristic
177C2×Q8×C47—21no—
178C2×Q8×C47—21no—
179C2×Q8×C47—24no—
180C2×Q8×C47—22no—
181C2×Q8×C47—22no—
182C2×Q8×C47—22no—
183C2×Q8×C47—22no—
184C2×Q8×C47—82no—
185C2×Q8×C47C2412yes—
186C2×Q8×C47C2412yes—
187C22×C4×C47—21no—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47—21no—
191C22×C4×C47C2×D411yescharacteristic
192C22×C4×C47C2×D411yescharacteristic
193C22×C4×C47C2411yescharacteristic
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47—21no—
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D411yescharacteristic
200C22×Dic47C2×D411yescharacteristic
201C2×C4×D47—22no—
202C2×C4×D47—22no—
203C2×C4×D47—24no—
204C2×C4×D47—82no—
205C2×C4×D47C2×D412yes—
206C2×C4×D47C2412yes—
207C2×Dic94—24no—
208C2×Dic94—82no—
209C2×C8×C47—22no—
210C2×C8×C47—22no—
211C2×C8×C47C2412yes—
212C2×C8×C47C2412yes—
213C4⋊C4×C47—24no—
214C4⋊C4×C47—24no—
215C4⋊C4×C47—24no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47C2412yes—
219C4⋊C4×C47C2412yes—
220C42×C47C2×D412yes—
221C42×C47C2412yes—
222(C2×D47)⋊C4—24no—
223(C2×D47)⋊C4—24no—
224(C2×D47)⋊C4—24no—
225(C2×D47)⋊C4C2×D414yes—
226(C2×D47)⋊C4C2×D414yes—
227C4⋊Dic47—21no—
228C4⋊Dic47—21no—
229C4⋊Dic47—21no—
230C4⋊Dic47—21no—
231C4⋊Dic47—24no—
232C4⋊Dic47—24no—
233C4⋊Dic47—24no—
234C4⋊Dic47C2412yes—
235C4⋊Dic47C2412yes—
236C4⋊Dic47C2412yes—
237C4⋊Dic47C2412yes—
238Dic47⋊C4—24no—
239Dic47⋊C4—24no—
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×Dic47C2412yes—
254C2×C47⋊C8—22no—
255C2×C47⋊C8—22no—
256C2×C47⋊C8C2412yes—
257C2×C47⋊C8C2412yes—
258C23×C47C22×D411yescharacteristic
259C22×D47—22no—
260C22×D47—22no—
261C22×D47—22no—
262C22×D47C22×D412yes—
263Q8×C47—22no—
264Q8×C47—22no—
265Q8×C47—22no—
266Q8×C47—22no—
267Q8×C47—42no—
268Q8×C47—42no—
269Q8×C47—84no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47—42no—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D412yes—
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C472−1+412yes—
284C2×C4×C472−1+412yes—
285C2×C4×C47C2511yescharacteristic
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—42no—
294C2×Dic47—42no—
295C2×Dic47—42no—
296C2×Dic47—42no—
297C2×Dic47C22×D412yes—
298C2×Dic47C22×D412yes—
299C2×Dic47C22×D412yes—
300C4×D47—24no—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—84no—
304Dic94—84no—
305C8×C47—22no—
306C8×C47—22no—
307C47⋊C8—22no—
308C47⋊C8—22no—
309C2×#3242—471nomaximal, Sylow
310C22×C47#53612yes—
311C22×C47#57712yes—
312C22×C47#57812yes—
313C22×C47C23×D411yescharacteristic
314C2×D47—22no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47—44no—
318C4×C47—22no—
319C4×C47—22no—
320C4×C47—42no—
321C4×C47—42no—
322C4×C47—42no—
323C4×C47—42no—
324C4×C47#53612yes—
325C4×C47C2×2−1+411yescharacteristic
326C4×C47C2×2−1+411yescharacteristic
327Dic47—22no—
328Dic47—22no—
329Dic47—22no—
330Dic47—42no—
331Dic47—42no—
332Dic47—42no—
333Dic47—42no—
334C2×#544—471no—
335C2×#541—471no—
336#3242—4716no—
337C2×#501—471no—
338C2×#499—471no—
339C2×#491—471no—
340C2×#487D4711yescharacteristic, complemented
341C2×#484—471no—
342C2×#485—471no—
343C2×#485—471no—
344C2×#483—471no—
345C2×#479—471no—
346C2×#479—471no—
347C2×#477—471no—
348C2×#475—471no—
349C2×#433—471no—
350C2×C47#324214yescomplemented
351C2×C47C2×#53611yescharacteristic
352C2×C47C2×#57711yescharacteristic
353C2×C47C2×#57811yescharacteristic
354D47—42no—
355#544—478no—
356#544—944no—
357#541—478no—
358#541—944no—
359C2×C4⋊Q8—471no—
360C2×C4⋊Q8—941no—
361C2×C4⋊Q8C2×D4711yescharacteristic
362C2×C4⋊Q8C2×D4711yescharacteristic
363C2×#126—941no—
364C2×#126—941no—
365C2×#125—471no—
366C2×#125—471no—
367C2×#125—471no—
368C2×#125—941no—
369C2×#125—941no—
370C2×#125—941no—
371C2×C22⋊Q8—471no—
372C2×C22⋊Q8—471no—
373C2×C22⋊Q8—941no—
374C2×C22⋊Q8—941no—
375C2×C4×Q8—471no—
376C2×C4×Q8—471no—
377C2×#117—471no—
378C2×#117—471no—
379C22×C4⋊C4—471no—
380#501—478no—
381#499—478no—
382#491—478no—
383#487C2×D4718yescomplemented
384#485—478no—
385#485—478no—
386#484—478no—
387#483—478no—
388#479—478no—
389#479—478no—
390#477—478no—
391#475—478no—
392#433—478no—
393C2×#107—471no—
394C2×#107—471no—
395C2×#107—471no—
396C2×#107—471no—
397C2×#106—471no—
398C2×#106—471no—
399C2×#106—471no—
400C2×#106—471no—
401C2×C4⋊C8—471no—
402C2×C4⋊C8—471no—
403C2×#103—471no—
404C2×#103—471no—
405C2×#103—471no—
406C2×#103—471no—
407C2×#103C2×D4711yescharacteristic
408C2×#103C2×D4711yescharacteristic
409C2×#103C2×D4711yescharacteristic
410C2×#103C2×D4711yescharacteristic
411C2×C22⋊C8—471no—
412C2×C22⋊C8—471no—
413C2×#97—471no—
414C2×C4×C8C2×D4711yescharacteristic
415C47C2×#324211yescharacteristic, complemented, Sylow
416C22×Q8—21no—
417C22×Q8—941no—
418C22×Q8C22×D4711yescharacteristic
419C22×Q8C22×D4711yescharacteristic
420C23×C4—471no—
421C23×C4—941no—
422C22×C8—471no—
423C22×C8—471no—
424C22×C8C22×D4711yescharacteristic
425C22×C8C22×D4711yescharacteristic
426C4⋊Q8—22no—
427C4⋊Q8—22no—
428C4⋊Q8—474no—
429C4⋊Q8—942no—
430C4⋊Q8—948no—
431C4⋊Q8C22×D4714yes—
432C4⋊Q8C22×D4714yes—
433#126—948no—
434#126—948no—
435#125—474no—
436#125—474no—
437#125—474no—
438#125—942no—
439#125—948no—
440#125—948no—
441#125—948no—
442#125—942no—
443#125—942no—
444C22⋊Q8—474no—
445C22⋊Q8—474no—
446C22⋊Q8—948no—
447C22⋊Q8—948no—
448C22⋊Q8—942no—
449C22⋊Q8—942no—
450C4×Q8—474no—
451C4×Q8—474no—
452C4×Q8—942no—
453C4×Q8—942no—
454#117—474no—
455#117—474no—
456#117—474no—
457#117—942no—
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—471no—
465C2×C4⋊C4—471no—
466C2×C4⋊C4—471no—
467C2×C4⋊C4—474no—
468C2×C4⋊C4—942no—
469C2×C4⋊C4—941no—
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⋊C4C22×D4711yescharacteristic
482C2×C4⋊C4C22×D4711yescharacteristic
483C2×C22⋊C4—471no—
484C2×C22⋊C4—471no—
485C2×C22⋊C4—941no—
486C2×C22⋊C4—941no—
487C2×C22⋊C4—941no—
488C2×C42—471no—
489C2×C42—941no—
490C2×C42—941no—
491C2×C42—941no—
492C2×C42C22×D4711yescharacteristic
493#107—474no—
494#107—474no—
495#107—474no—
496#107—474no—
497#106—474no—
498#106—474no—
499#106—474no—
500#106—474no—
501C4⋊C8—474no—
502C4⋊C8—474no—
503#103—474no—
504#103—474no—
505#103—474no—
506#103—474no—
507#103C22×D4714yes—
508#103C22×D4714yes—
509#103C22×D4714yes—
510#103C22×D4714yes—
511C22⋊C8—474no—
512C22⋊C8—474no—
513#97—474no—
514C4×C8C22×D4714yes—
515C24—471no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—24no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—82no—
524C2×Q8—944no—
525C2×Q8—3762no—
526C2×Q8C23×D4712yes—
527C2×Q8C23×D4712yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—471no—
533C22×C4—471no—
534C22×C4—471no—
535C22×C4—472no—
536C22×C4—472no—
537C22×C4—944no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—941no—
541C22×C4—941no—
542C22×C4—941no—
543C22×C4—941no—
544C22×C4—3762no—
545C22×C4D4×D4711yescharacteristic
546C22×C4D4×D4711yescharacteristic
547C22×C4C23×D4711yescharacteristic
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—472no—
551C2×C8—472no—
552C2×C8—942no—
553C2×C8—942no—
554C2×C8C23×D4712yes—
555C2×C8C23×D4712yes—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—474no—
562C4⋊C4—474no—
563C4⋊C4—472no—
564C4⋊C4—472no—
565C4⋊C4—472no—
566C4⋊C4—472no—
567C4⋊C4—944no—
568C4⋊C4—944no—
569C4⋊C4—944no—
570C4⋊C4—944no—
571C4⋊C4—944no—
572C4⋊C4—944no—
573C4⋊C4—944no—
574C4⋊C4—944no—
575C4⋊C4—944no—
576C4⋊C4—944no—
577C4⋊C4—944no—
578C4⋊C4—944no—
579C4⋊C4—941no—
580C4⋊C4—941no—
581C4⋊C4—941no—
582C4⋊C4—941no—
583C4⋊C4C23×D4712yes—
584C4⋊C4C23×D4712yes—
585C22⋊C4—474no—
586C22⋊C4—474no—
587C22⋊C4—944no—
588C22⋊C4—944no—
589C22⋊C4—944no—
590C42—472no—
591C42—472no—
592C42—944no—
593C42—944no—
594C42—944no—
595C42D4×D4712yes—
596C42C23×D4712yes—
597C23—472no—
598C23—942no—
599C23—942no—
600C23—942no—
601C23C2×D4×D4711yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—42no—
607Q8—42no—
608Q8—84no—
609Q8—3764no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—472no—
621C2×C4—472no—
622C2×C4—472no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—944no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—942no—
630C2×C4—942no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—3764no—
634C2×C4—1882no—
635C2×C4—1882no—
636C2×C4—1882no—
637C2×C4—1882no—
638C2×C4C2×D4×D4712yes—
639C2×C4C2×D4×D4712yes—
640C2×C4C2×D4×D4711yescharacteristic
641C2×C4#1309407112yes—
642C2×C4#1309407112yes—
643C2×C4C24×D4711yescharacteristic
644C8—22no—
645C8—22no—
646C8—942no—
647C8—942no—
648C22—942no—
649C22—942no—
650C22—942no—
651C22—1884no—
652C22#1568969312yes—
653C22#1568992912yes—
654C22#1568993612yes—
655C22C22×D4×D4711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—42no—
661C4—42no—
662C4—942no—
663C4—942no—
664C4—942no—
665C4—1882no—
666C4—1882no—
667C4—1882no—
668C4—1882no—
669C4#1568969312yes—
670C4C2×#1309407111yescharacteristic
671C4C2×#1309407111yescharacteristic
672C2—1882no—
673C2#2025464914yesdirect product factor
674C2C2×#1568969311yescharacteristic
675C2C2×#1568992911yescharacteristic
676C2C2×#1568993611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#487C2
socleC23×C47C22×D4
prime radicalC23×D47C2×D4
hypercenterC2×#487D47
hypocenterC47C2×#3242
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#487

Complements

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

NH ≅ G/Ntype
3. #20254649C2direct (N × H)
4. C2×#15689529C2semidirect
5. C2×#15689525C2semidirect
6. C2×#15689491C2semidirect
11. C2×#15689432C2semidirect
12. C2×#15689428C2semidirect
13. C2×#15689416C2semidirect
14. C2×#15689406C2semidirect
16. C2×C47×#487C2semidirect
40. #15689529C22semidirect
41. #15689525C22semidirect
42. #15689491C22semidirect
47. #15689432C22semidirect
48. #15689428C22semidirect
49. #15689416C22semidirect
50. #15689406C22semidirect
71. C47×#487C22semidirect
340. C2×#487D47semidirect
350. C2×C47#3242semidirect
383. #487C2×D47semidirect
415. C47C2×#3242semidirect
673. C2#20254649direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897502
C2×#156897342
#202546492
C2×#156895292
C2×#156895252
C2×#156894912
C2×#156894572
C2×#156894632
C2×#156894622
C2×#156894522
C2×#156894322
C2×#156894282
C2×#156894162
C2×#156894062
C2×#156891822
C2×C47×#4872
C2×#324247