Finite Group Databasebeta

← C4×#15689366 #26222901

Subgroups — C4×#15689366 #26222901

Order 12032.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689366C211yesmaximal, characteristic
2C2×C4×#10625324C211yesmaximal, characteristic, complemented
3C4×#13094000C211yesmaximal, characteristic, complemented
4C4×#13093995C211yesmaximal, characteristic
5#20244271C211yesmaximal, characteristic, complemented
6#20244124C211yesmaximal, characteristic, complemented
7#20244082C211yesmaximal, characteristic, complemented
8#20244075C211yesmaximal, characteristic, complemented
9#20243823C211yesmaximal, characteristic
10#20243818C211yesmaximal, characteristic, complemented
11#20243418C211yesmaximal, characteristic, complemented
12C4×#13093958C211yesmaximal, characteristic, complemented
13C4×#13093948C211yesmaximal, characteristic, complemented
14C4×#13093945C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C47C211yesmaximal, characteristic, complemented
16C22×#10625324C2211yescharacteristic
17C22×#10625324C2211yescharacteristic
18C2×#13094000C2211yescharacteristic
19C2×#13093995C2211yescharacteristic
20C2×C4×C22⋊D47—21no—
21C2×C42×D47C2211yescharacteristic
22#15689366C418yesdirect product factor
23C2×#13093958C2211yescharacteristic
24C2×#13093958C2211yescharacteristic
25C2×#13093948C2211yescharacteristic
26C2×#13093948C2211yescharacteristic
27C2×#13093945C2211yescharacteristic
28C2×#13093945C2211yescharacteristic
29C4×#10625324—24no—
30C2×#13093934C2211yescharacteristic
31C2×#13093934C2211yescharacteristic
32C2×C4×C47⋊C8C2211yescharacteristic
33#15689030C2211yescharacteristic
34#15689026C2211yescharacteristic
35#15689019C2211yescharacteristic
36#15689019C2211yescharacteristic
37#15689011—21no—
38#15689004—21no—
39#15688999—21no—
40#15688994—21no—
41#15688980C2211yescharacteristic
42#15688980C2211yescharacteristic
43C4×Dic47⋊C4—21no—
44C4×C4⋊Dic47C2211yescharacteristic
45C4×C4⋊Dic47C2211yescharacteristic
46C4×(C2×D47)⋊C4—21no—
47C4×C22⋊Dic47—21no—
48#15688886C2211yescharacteristic
49#15688886C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54C22×SD16×C47C2211yescharacteristic
55C2×C4×Q8×C47C2211yescharacteristic
56C2×C4×D4×C47C2211yescharacteristic
57C4×SD16×C47—24no—
58C2×#106×C47C2211yescharacteristic
59C2×#103×C47C2211yescharacteristic
60C2×#102×C47C2211yescharacteristic
61C2×C4×C8×C47C2211yescharacteristic
62C22×C22⋊D47—21no—
63C22×C4×D47D411yescharacteristic
64C22×C4×D47D411yescharacteristic
65C22×C4×D47C2311yescharacteristic
66C2×#10625324—22no—
67C2×#10625324—22no—
68C2×#10625324—22no—
69C2×#10625324—22no—
70C2×#10625324—22no—
71C2×#10625324C2×C414yescomplemented
72C22×C47⋊C8C2311yescharacteristic
73C22×C47⋊C8C2311yescharacteristic
74#13094000—22no—
75#13094000C2×C414yescomplemented
76#13093995—22no—
77#13093995C2×C414yes—
78C4×C22⋊D47—44no—
79C2×C4⋊Dic47C2311yescharacteristic
80C2×C4⋊Dic47C2311yescharacteristic
81C2×C4⋊Dic47C2311yescharacteristic
82C2×C4⋊Dic47C2311yescharacteristic
83C2×Dic47⋊C4—21no—
84C2×Dic47⋊C4—21no—
85C2×Dic47⋊C4—21no—
86C2×C22⋊Dic47—21no—
87C2×C22⋊Dic47—21no—
88C2×C22⋊Dic47—21no—
89C2×(C2×D47)⋊C4—21no—
90C2×(C2×D47)⋊C4—21no—
91C2×(C2×D47)⋊C4—21no—
92C2×C4×Dic47—21no—
93C2×C4×Dic47—21no—
94C2×C4×Dic47D411yescharacteristic
95C2×C4×Dic47D411yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C42×D47—22no—
98C42×D47—22no—
99#13093958—22no—
100#13093958C2×C414yescomplemented
101#13093948—22no—
102#13093948C2×C414yescomplemented
103#13093945—22no—
104#13093945C2×C414yescomplemented
105#13093934—22no—
106#13093934—22no—
107C4×C47⋊C8—22no—
108C47⋊#95—21no—
109C47⋊#95—21no—
110C47⋊#95—21no—
111C47⋊#95—21no—
112C47⋊#95—21no—
113C47⋊#95—21no—
114C47⋊#95—21no—
115C47⋊#95—21no—
116C22×Q8×C47C2311yescharacteristic
117C22×D4×C47C2311yescharacteristic
118C23×C4×C47—21no—
119C2×SD16×C47—22no—
120C2×SD16×C47—22no—
121C2×SD16×C47C2×C414yescomplemented
122C22×C8×C47C2311yescharacteristic
123C22×C8×C47C2311yescharacteristic
124C4×Q8×C47—22no—
125C4×Q8×C47—22no—
126C4×D4×C47—22no—
127C4×D4×C47—22no—
128C2×C4⋊C4×C47—21no—
129C2×C4⋊C4×C47C2311yescharacteristic
130C2×C4⋊C4×C47C2311yescharacteristic
131C2×C22⋊C4×C47—21no—
132C2×C42×C47—21no—
133C2×C42×C47C2311yescharacteristic
134#106×C47—22no—
135#103×C47—22no—
136#102×C47—22no—
137C4×C8×C47D414yescomplemented
138C24×C47—21no—
139C23×D47C2×D411yescharacteristic
140C2×Q8×C47—21no—
141C2×Q8×C47—21no—
142C2×Q8×C47—21no—
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47C22×C412yes—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47C22×C412yes—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—42no—
156C22×C4×C47—42no—
157C22×C4×C47—42no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2411yescharacteristic
161C2×C22⋊D47—24no—
162C2×C22⋊D47—42no—
163C2×C22⋊D47—42no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47C2×D411yescharacteristic
169C22×Dic47C2×D411yescharacteristic
170C22×Dic47C2×D411yescharacteristic
171C2×C4×D47—21no—
172C2×C4×D47—21no—
173C2×C4×D47—21no—
174C2×C4×D47—21no—
175C2×C4×D47—22no—
176C2×C4×D47—22no—
177C2×C4×D47—22no—
178C2×C4×D47—22no—
179C2×C4×D47—41no—
180C2×C4×D47—41no—
181C2×C4×D47C22×C412yes—
182C2×C4×D47#4112yes—
183SD16×C47—28no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47C22×C412yes—
187C2×C8×C47C2×D412yes—
188C2×C8×C47C2×D412yes—
189C2×C8×C47#4112yes—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—42no—
195C22⋊C4×C47—42no—
196C42×C47—42no—
197C42×C47C2×D412yes—
198C42×C47#4112yes—
199C22⋊Dic47—24no—
200C22⋊Dic47—42no—
201C22⋊Dic47—42no—
202(C2×D47)⋊C4—24no—
203(C2×D47)⋊C4—42no—
204(C2×D47)⋊C4—42no—
205C4⋊Dic47—21no—
206C4⋊Dic47—21no—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47C22×C412yes—
212C4⋊Dic47C22×C412yes—
213Dic47⋊C4—24no—
214Dic47⋊C4—42no—
215Dic47⋊C4—42no—
216C4×Dic47—22no—
217C4×Dic47—22no—
218C4×Dic47—21no—
219C4×Dic47—21no—
220C4×Dic47—42no—
221C4×Dic47—42no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—21no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8C22×C412yes—
227C2×C47⋊C8#4112yes—
228#10625324—28no—
229#10625324—28no—
230C23×C47—22no—
231C23×C47—41no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—41no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47C22×D411yescharacteristic
238C22×D47—21no—
239C22×D47—21no—
240C22×D47—21no—
241C22×D47—21no—
242C22×D47—21no—
243C22×D47—21no—
244C22×D47C4×D412yes—
245Q8×C47—22no—
246Q8×C47—22no—
247Q8×C47—41no—
248Q8×C47—41no—
249D4×C47—22no—
250D4×C47—22no—
251D4×C47—41no—
252D4×C47—41no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—22no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—84no—
265C2×C4×C47#12112yes—
266C2×C4×C47#12112yes—
267C2×C4×C47AGL(1,ℤ/8)12yes—
268C2×C4×C47#13712yes—
269C2×C4×C47C23×C411yescharacteristic
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C2×#4111yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C22⋊D47—48no—
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—21no—
285C2×Dic47—21no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47C4×D412yes—
297C4×D47—22no—
298C4×D47—22no—
299C4×D47—22no—
300C4×D47—22no—
301C4×D47—44no—
302C4×D47—44no—
303C8×C47—22no—
304C8×C47C4×D414yescomplemented
305C47⋊C8—22no—
306C47⋊C8—22no—
307C4×#468—471nomaximal, Sylow
308C22×C47—42no—
309C22×C47—42no—
310C22×C47—42no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47C2×C4×D411yescharacteristic
316C22×C47C2×#12111yescharacteristic
317C22×C47#53211yescharacteristic
318C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C47C2×#13711yescharacteristic
320C22×C47#57511yescharacteristic
321C22×C47#57511yescharacteristic
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47—41no—
326C2×D47—41no—
327C2×D47—41no—
328C2×D47—41no—
329C4×C47—22no—
330C4×C47—42no—
331C4×C47—81no—
332C4×C47—81no—
333C4×C47#46814yescomplemented
334C4×C47C2×C4×D411yescharacteristic
335C4×C47C4×#4111yescharacteristic
336C4×C47#52511yescharacteristic
337C4×C47#52911yescharacteristic
338Dic47—22no—
339Dic47—42no—
340Dic47—42no—
341Dic47—41no—
342Dic47—41no—
343Dic47—81no—
344Dic47—81no—
345C2×#468—471no—
346C2×C4×SD16D4711yescharacteristic, complemented
347C2×C4×M16—471no—
348C4×C22⋊Q8—471no—
349C4×#121—471no—
350#1973—471no—
351#1943—471no—
352#1936—471no—
353#1935—471no—
354#1895—471no—
355#1894—471no—
356#1809—471no—
357C4×#107—471no—
358C4×#103—471no—
359C4×#102—471no—
360C2×C47—82no—
361C2×C47C4×#12111yescharacteristic
362C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
363C2×C47C4×#13711yescharacteristic
364C2×C47C2×#46811yescharacteristic
365C2×C47#305411yescharacteristic
366C2×C47#317111yescharacteristic
367C2×C47#317211yescharacteristic
368D47—42no—
369C22×SD16C2×D4711yescharacteristic
370C22×M16—471no—
371C22×M16—471no—
372C2×C22⋊Q8—471no—
373C2×#121—471no—
374C2×C4×Q8C2×D4711yescharacteristic
375C2×C4×D4—941no—
376C2×C4×D4C2×D4711yescharacteristic
377C22×C42—471no—
378#468—478no—
379C4×SD16—24no—
380C2×#107—471no—
381C2×#107—471no—
382C2×#106C2×D4711yescharacteristic
383C2×#103—471no—
384C2×#103—471no—
385C2×#103C2×D4711yescharacteristic
386C2×#102—471no—
387C2×#102—471no—
388C2×#102C2×D4711yescharacteristic
389C4×M16—944no—
390C2×#97—471no—
391C2×#97—471no—
392C2×C4×C8—471no—
393C2×C4×C8C2×D4711yescharacteristic
394#391—471no—
395#390—471no—
396#389—471no—
397#389—471no—
398#388—941no—
399#387—941no—
400#386—941no—
401#385—941no—
402#380—471no—
403#380—471no—
404C4×C4⋊C4—471no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—941no—
407C4×C22⋊C4—941no—
408C4×C22⋊C4—941no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415C47C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8C22×D4711yescharacteristic
417C22×D4—941no—
418C22×D4C22×D4711yescharacteristic
419C23×C4—21no—
420C23×C4—471no—
421C23×C4—471no—
422C23×C4—471no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16C4×D4714yescomplemented
426C2×M16—474no—
427C2×M16—942no—
428C2×M16—942no—
429C2×M16—942no—
430C2×M16—942no—
431C2×M16—942no—
432C22×C8—471no—
433C22×C8—471no—
434C22×C8C22×D4711yescharacteristic
435C22×C8C22×D4711yescharacteristic
436C22⋊Q8—474no—
437C22⋊Q8—942no—
438#121—474no—
439#121—942no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—1884no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—471no—
447C2×C4⋊C4—471no—
448C2×C4⋊C4—471no—
449C2×C4⋊C4—471no—
450C2×C4⋊C4—941no—
451C2×C4⋊C4—941no—
452C2×C4⋊C4—941no—
453C2×C4⋊C4C22×D4711yescharacteristic
454C2×C4⋊C4C22×D4711yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4—941no—
458C2×C22⋊C4—941no—
459C2×C22⋊C4—941no—
460C2×C22⋊C4—941no—
461C2×C22⋊C4—941no—
462C2×C42—21no—
463C2×C42—471no—
464C2×C42—471no—
465C2×C42—471no—
466C2×C42—942no—
467C2×C42—942no—
468C2×C42—941no—
469C2×C42—941no—
470C2×C42C22×D4711yescharacteristic
471#107—474no—
472#107—942no—
473#106—22no—
474#103—22no—
475#103—474no—
476#103—942no—
477#102—22no—
478#102—474no—
479#102—942no—
480#97—942no—
481#97—942no—
482C4×C8—942no—
483C4×C8C22⋊D4714yescomplemented
484#95—941no—
485#95—941no—
486#95—941no—
487#95—941no—
488#95—941no—
489#95—941no—
490#95—941no—
491#95—941no—
492C24—21no—
493C24—471no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4712yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—944no—
506C2×D4—1882no—
507C2×D4—1882no—
508C2×D4C2×C4×D4712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—471no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—471no—
519C22×C4—471no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—941no—
531C22×C4—941no—
532C22×C4—1881no—
533C22×C4—1881no—
534C22×C4D4×D4711yescharacteristic
535C22×C4D4×D4711yescharacteristic
536C22×C4C23×D4711yescharacteristic
537SD16—28no—
538M16—948no—
539M16—948no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—472no—
543C2×C8—472no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8C2×C4×D4712yes—
549C2×C8#1062535012yes—
550C2×C8C2×C22⋊D4712yes—
551C2×C8C2×C22⋊D4712yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—472no—
558C4⋊C4—472no—
559C4⋊C4—944no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4—941no—
563C4⋊C4—941no—
564C4⋊C4—941no—
565C4⋊C4—941no—
566C4⋊C4—1882no—
567C4⋊C4—1882no—
568C22⋊C4—42no—
569C22⋊C4—944no—
570C22⋊C4—944no—
571C22⋊C4—1882no—
572C22⋊C4—1882no—
573C22⋊C4—1882no—
574C22⋊C4—1882no—
575C42—42no—
576C42—942no—
577C42—942no—
578C42—941no—
579C42—941no—
580C42—1882no—
581C42—1882no—
582C42#1062535212yes—
583C42C2×C22⋊D4712yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—472no—
592C23—941no—
593C23—941no—
594C23—941no—
595C23—941no—
596C23—941no—
597C23—941no—
598C23C2×D4×D4711yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—1888no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—84no—
620C2×C4—472no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—942no—
626C2×C4—942no—
627C2×C4—942no—
628C2×C4—942no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—941no—
632C2×C4—941no—
633C2×C4—941no—
634C2×C4—941no—
635C2×C4—1884no—
636C2×C4—1881no—
637C2×C4—1881no—
638C2×C4—1881no—
639C2×C4—1881no—
640C2×C4—1881no—
641C2×C4—1881no—
642C2×C4—1881no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1884no—
647C2×C4#1309399512yes—
648C2×C4#1309399512yes—
649C2×C4#1309405112yes—
650C2×C4#1309405312yes—
651C2×C4C22×C4×D4711yescharacteristic
652C2×C4C22×C22⋊D4711yescharacteristic
653C2×C4#41×D4711yescharacteristic
654C2×C4#41×D4711yescharacteristic
655C2×C4C2×#1062535211yescharacteristic
656C2×C4C2×#1062535011yescharacteristic
657C8—22no—
658C8—942no—
659C8—942no—
660C8C4×C22⋊D4714yescomplemented
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—942no—
669C22—942no—
670C22—942no—
671C22—1881no—
672C22—1881no—
673C22—1881no—
674C22—1881no—
675C22C4×D4×D4711yescharacteristic
676C22C2×#1309399511yescharacteristic
677C22#1568967011yescharacteristic
678C22C2×#1309405111yescharacteristic
679C22C2×#1309405311yescharacteristic
680C22#1568992011yescharacteristic
681C22#1568992011yescharacteristic
682C4—22no—
683C4—42no—
684C4—81no—
685C4—81no—
686C4—942no—
687C4—3761no—
688C4—3761no—
689C4—1882no—
690C4—1882no—
691C4—1881no—
692C4—1881no—
693C4#1568936614yesdirect product factor
694C4C2×C4×C22⋊D4711yescharacteristic
695C4C4×#1062535211yescharacteristic
696C4#1568963011yescharacteristic
697C4#1568965511yescharacteristic
698C2—82no—
699C2—1882no—
700C2C4×#1309399511yescharacteristic
701C2C4×#1309405111yescharacteristic
702C2C4×#1309405311yescharacteristic
703C2C2×#1568936611yescharacteristic
704C2#2025299311yescharacteristic
705C2#2025397911yescharacteristic
706C2#2025399011yescharacteristic
subgroupG/H
centerC22×C4D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C4×SD16×C47C2
socleC23×C47C22×D4
prime radicalC2×#13093995C22
cosocleC22×C4×C47C24
hypercenterC2×C4×SD16D47
hypocenterC47C4×#468
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10625324C2semidirect
3. C4×#13094000C2semidirect
5. #20244271C2semidirect
6. #20244124C2semidirect
7. #20244082C2semidirect
8. #20244075C2semidirect
10. #20243818C2semidirect
11. #20243418C2semidirect
12. C4×#13093958C2semidirect
13. C4×#13093948C2semidirect
14. C4×#13093945C2semidirect
15. C2×C4×SD16×C47C2semidirect
22. #15689366C4direct (N × H)
71. C2×#10625324C2×C4semidirect
75. #13094000C2×C4semidirect
100. #13093958C2×C4semidirect
102. #13093948C2×C4semidirect
104. #13093945C2×C4semidirect
121. C2×SD16×C47C2×C4semidirect
137. C4×C8×C47D4semidirect
304. C8×C47C4×D4semidirect
333. C4×C47#468semidirect
346. C2×C4×SD16D47semidirect
415. C47C4×#468semidirect
425. C2×SD16C4×D47semidirect
483. C4×C8C22⋊D47semidirect
660. C8C4×C22⋊D47semidirect
693. C4#15689366direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156893662
C2×C4×#106253242
C4×#130940002
C4×#130939952
#202442712
#202441242
#202440822
#202440752
#202438232
#202438182
#202434182
C4×#130939582
C4×#130939482
C4×#130939452
C2×C4×SD16×C472
C4×#46847