Finite Group Databasebeta

← C2×#10611145 #12977749

Subgroups — C2×#10611145 #12977749

Order 1280.

1930 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65899C211yesmaximal, characteristic
2C2×#65875C211yesmaximal, characteristic, complemented
3C2×C5×C8×D4C211yesmaximal, characteristic, complemented
4C2×#65403C211yesmaximal, characteristic, complemented
5C2×#65403C211yesmaximal, characteristic, complemented
6C2×#65395C211yesmaximal, characteristic, complemented
7C22×#3949C211yesmaximal, characteristic, complemented
8#10611145C2116yesmaximal, direct product factor
9C2×#65118C211yesmaximal, characteristic, complemented
10C2×#65136C211yesmaximal, characteristic, complemented
11C2×#65011C211yesmaximal, characteristic, complemented
12C2×#65012C211yesmaximal, characteristic, complemented
13C2×#65026C211yesmaximal, characteristic, complemented
14C2×#65025C211yesmaximal, characteristic, complemented
15C2×C4×#677C211yesmaximal, characteristic, complemented
16C2×#64972C211yesmaximal, characteristic, complemented
17C23×C5×C8C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4085—21no—
21C2×#4081—21no—
22C2×#4076C2211yescharacteristic
23C2×#4076C2211yescharacteristic
24C2×#4072C2211yescharacteristic
25C2×#4072C2211yescharacteristic
26C22×C4⋊Dic5C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C2×#4070C2211yescharacteristic
29C2×#4070C2211yescharacteristic
30C22×#677C2211yescharacteristic
31#65899—24no—
32#65899C2218yes—
33#65875—24no—
34#65875C2218yescomplemented
35C2×#4044—21no—
36C2×#4035—21no—
37C2×#4029—21no—
38C2×#4027—21no—
39C2×#4025—21no—
40C2×#4023—21no—
41C2×C4×D20C2211yescharacteristic
42C2×#4016C2211yescharacteristic
43C2×#4016C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×C8×D4C2218yescomplemented
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×C22⋊C8C2211yescharacteristic
48C2×C5×C22⋊C8C2211yescharacteristic
49C2×C4×C5×C8C2211yescharacteristic
50#65403C2218yescomplemented
51#65403C2218yescomplemented
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3953C2211yescharacteristic
55#65395C2218yescomplemented
56C2×#3950C2211yescharacteristic
57C2×#3950C2211yescharacteristic
58C2×#3950C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3949C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3949C2211yescharacteristic
64C2×#3949C2211yescharacteristic
65C2×#3949C2218yescomplemented
66C2×#3948C2211yescharacteristic
67C2×#3948C2211yescharacteristic
68C2×#3948C2211yescharacteristic
69#65136C2218yescomplemented
70#65118C2218yescomplemented
71#65026C2218yescomplemented
72#65025C2218yescomplemented
73#65012C2218yescomplemented
74#65011C2218yescomplemented
75C4×#677C2218yescomplemented
76#64972C2218yescomplemented
77C2×#3337—51nomaximal, Sylow
78C22×C5×D4D411yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C23×Dic5—21no—
84C23×Dic5—21no—
85C22×D20C2311yescharacteristic
86C22×C4×D5—21no—
87C22×Dic10C2311yescharacteristic
88C22×C5×C8—24no—
89C22×C5×C8—24no—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2314yes—
94C22×C5×C8C2314yes—
95C22×C5×C8C2311yescharacteristic
96C4×C5×D4D414yes—
97C4×C5×D4C2314yes—
98C2×C5×C4⋊C4D411yescharacteristic
99C2×C5×C22⋊C4D411yescharacteristic
100C2×C5×C22⋊C4D411yescharacteristic
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106#4085—28no—
107#4081—28no—
108#4076—22no—
109#4076—22no—
110#4076C2314yes—
111#4076C2314yes—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115#4072—22no—
116#4072—22no—
117#4072C2314yes—
118#4072C2314yes—
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—22no—
122C2×C4⋊Dic5—22no—
123C2×C4⋊Dic5C2314yes—
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2314yes—
131#4070—22no—
132#4070—22no—
133#4070C2314yes—
134#4070C2314yes—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—21no—
140C2×#683—21no—
141C2×#683—21no—
142C2×C4×Dic5—21no—
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×#677—24no—
146C2×#677C2314yes—
147#4044—28no—
148#4035—28no—
149#4029—28no—
150#4027—28no—
151#4025—28no—
152#4023—28no—
153C4×D20—22no—
154C4×D20C2314yes—
155#4016—22no—
156#4016—22no—
157#4016C2314yes—
158#4016C2314yes—
159C4×Dic10—22no—
160C4×Dic10C2314yes—
161C5×C4⋊C8C2314yes—
162C5×C22⋊C8C2314yes—
163C5×C22⋊C8C2314yes—
164C4×C5×C8C2314yes—
165#3953C2314yes—
166#3953C2314yes—
167#3953C2314yes—
168#3950C2314yes—
169#3950C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3949C2314yes—
175#3949C2314yes—
176#3949C2314yes—
177#3948C2314yes—
178#3948C2314yes—
179#3948C2314yes—
180C2×#553—51no—
181C2×#552—51no—
182#3337—516no—
183C2×#499—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#465—51no—
191C2×#465—51no—
192C2×C4×SD16—51no—
193C2×C8×D4D511yescharacteristic, complemented
194C2×#427—51no—
195C22×#106—51no—
196C24×C5C2×D411yescharacteristic
197C24×C5C2×D411yescharacteristic
198C23×D5—21no—
199C2×C5×D4—24no—
200C2×C5×D4C2×D414yes—
201C22×C4×C5—22no—
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D412yes—
210C22×C4×C5C2×D412yes—
211C22×C4×C5C2412yes—
212C22×C4×C5C2412yes—
213C22×C4×C5C2411yescharacteristic
214C2×C22⋊D5—24no—
215C2×C22⋊D5—24no—
216C2×C22⋊D5—44no—
217C2×C22⋊D5—82no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—24no—
226C22×Dic5—24no—
227C22×Dic5—44no—
228C22×Dic5—82no—
229C2×D20—22no—
230C2×D20—22no—
231C2×D20—21no—
232C2×D20C2412yes—
233C2×C4×D5—24no—
234C2×C4×D5—82no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—21no—
238C2×Dic10C2412yes—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8—22no—
242C2×C5×C8—28no—
243C2×C5×C8—28no—
244C2×C5×C8#4114yes—
245C2×C5×C8C2412yes—
246C2×C5×C8C2412yes—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4C2×D414yes—
250C5×C22⋊C4C2×D414yes—
251C5×C22⋊C4C2×D414yes—
252C42×C5C2×D412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257C22⋊Dic5—24no—
258#685—24no—
259#685—24no—
260#685—24no—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—21no—
267C4⋊Dic5—24no—
268C4⋊Dic5—24no—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273C4⋊Dic5C2412yes—
274C4⋊Dic5C2412yes—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281#683—24no—
282C4×Dic5—24no—
283C4×Dic5—24no—
284C4×Dic5—24no—
285#677—28no—
286C22×SD16—51no—
287C23×C8C2×D511yescharacteristic
288C23×C8C2×D511yescharacteristic
289#553—58no—
290#553—104no—
291#552—58no—
292#552—104no—
293C2×#126—101no—
294C2×#126—101no—
295C2×#125—51no—
296C2×#125—51no—
297C2×#125—101no—
298C2×#123—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—101no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×C4×D4C2×D511yescharacteristic
309C2×#117—51no—
310C2×#117—51no—
311C2×#117—101no—
312C22×C4⋊C4—51no—
313C22×C4⋊C4—51no—
314#499—58no—
315#485—58no—
316#484—58no—
317#482—58no—
318#480—58no—
319#479—58no—
320#478—58no—
321#465—58no—
322#465—58no—
323C4×SD16—58no—
324C8×D4C2×D518yescomplemented
325#427—58no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—58no—
333C2×#106—51no—
334C2×#106—51no—
335C2×#106—51no—
336C2×C4⋊C8C2×D511yescharacteristic
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×C22⋊C8C2×D511yescharacteristic
344C2×C22⋊C8C2×D511yescharacteristic
345C2×C4×C8C2×D511yescharacteristic
346C23×C5—22no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5—22no—
350C23×C5—22no—
351C23×C5#13514yes—
352C23×C5C22×D412yes—
353C23×C5C22×D412yes—
354C23×C5C22×D411yescharacteristic
355C22×D5—22no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5—42no—
359C5×D4—28no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—24no—
365C2×C4×C5—24no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D411yescharacteristic
375C2×C4×C5C2×#4112yes—
376C2×C4×C52−1+412yes—
377C2×C4×C5C2511yescharacteristic
378C22⋊D5—48no—
379C22⋊D5—84no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—42no—
388C2×Dic5—48no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—42no—
395C2×Dic5—84no—
396D20—22no—
397D20—22no—
398D20—42no—
399C4×D5—84no—
400Dic10—22no—
401Dic10—22no—
402Dic10—42no—
403C5×C8—22no—
404C5×C8—22no—
405C5×C8—22no—
406C5×C8C2×#4114yes—
407C22×Q8—51no—
408C22×D4—51no—
409C22×D4—101no—
410C22×D4—101no—
411C22×D4D2011yescharacteristic
412C23×C4—101no—
413C23×C4—101no—
414C23×C4—101no—
415C23×C4C22×D511yescharacteristic
416C23×C4C22×D511yescharacteristic
417C2×SD16—54no—
418C2×SD16—104no—
419C22×C8—24no—
420C22×C8—24no—
421C22×C8C22×D511yescharacteristic
422C22×C8C22×D511yescharacteristic
423C22×C8C22×D514yes—
424C22×C8C22×D514yes—
425C22×C8C22×D511yescharacteristic
426C22×C8C22×D511yescharacteristic
427#126—108no—
428#126—108no—
429#125—54no—
430#125—54no—
431#125—108no—
432#125—102no—
433#125—102no—
434#123—108no—
435#123—108no—
436C22⋊Q8—54no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8—102no—
440#121—54no—
441#121—54no—
442#121—108no—
443#121—102no—
444#121—102no—
445C4×Q8—54no—
446C4×Q8—102no—
447C4×D4—54no—
448C4×D4—108no—
449C4×D4—102no—
450C4×D4D2014yes—
451C4×D4C22×D514yes—
452#117—54no—
453#117—54no—
454#117—102no—
455#117—102no—
456#117—108no—
457C2×C4⋊C4—51no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—54no—
462C2×C4⋊C4—54no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—102no—
468C2×C4⋊C4—102no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4D2011yescharacteristic
477C2×C22⋊C4—101no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4D2011yescharacteristic
485C2×C22⋊C4D2011yescharacteristic
486C2×C42—101no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42C22×D511yescharacteristic
490#107—54no—
491#107—54no—
492#107—54no—
493#107—54no—
494#106—54no—
495#106—54no—
496#106—54no—
497#106—54no—
498#106—54no—
499C4⋊C8C22×D514yes—
500#103—54no—
501#103—54no—
502#103—54no—
503#102—54no—
504#102—54no—
505#102—54no—
506C22⋊C8C22×D514yes—
507C22⋊C8C22×D514yes—
508C4×C8C22×D514yes—
509C22×C5—28no—
510C22×C5—22no—
511C22×C5—22no—
512C22×C5—22no—
513C22×C5—22no—
514C22×C5—22no—
515C22×C5—44no—
516C22×C5#54712yes—
517C22×C5C2×#13514yes—
518C22×C5C2×#13512yes—
519C22×C5#57712yes—
520C22×C5C23×D411yescharacteristic
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—42no—
524C2×D5—84no—
525C4×C5—22no—
526C4×C5—22no—
527C4×C5—22no—
528C4×C5—22no—
529C4×C5#54712yes—
530C4×C5C22×#4111yescharacteristic
531C4×C5C2×2−1+411yescharacteristic
532Dic5—42no—
533Dic5—42no—
534Dic5—42no—
535Dic5—42no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—101no—
540C24C2×D2011yescharacteristic
541C24C2×D2011yescharacteristic
542C2×Q8—52no—
543C2×Q8—101no—
544C2×Q8—102no—
545C2×Q8—102no—
546C2×D4—24no—
547C2×D4—52no—
548C2×D4—104no—
549C2×D4—104no—
550C2×D4—101no—
551C2×D4—102no—
552C2×D4—102no—
553C2×D4—204no—
554C2×D4—402no—
555C2×D4C2×D2014yes—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—104no—
561C22×C4—101no—
562C22×C4—101no—
563C22×C4—101no—
564C22×C4—101no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—104no—
569C22×C4—104no—
570C22×C4—204no—
571C22×C4—402no—
572C22×C4—402no—
573C22×C4C2×D2012yes—
574C22×C4C2×D2012yes—
575C22×C4C2×D2011yescharacteristic
576C22×C4C2×D2011yescharacteristic
577C22×C4C2×D2011yescharacteristic
578C22×C4C2×D2011yescharacteristic
579C22×C4C23×D512yes—
580C22×C4C23×D512yes—
581C22×C4C23×D511yescharacteristic
582SD16—108no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—28no—
587C2×C8—28no—
588C2×C8#71114yes—
589C2×C8C23×D512yes—
590C2×C8C23×D512yes—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—52no—
594C4⋊C4—52no—
595C4⋊C4—52no—
596C4⋊C4—52no—
597C4⋊C4—52no—
598C4⋊C4—52no—
599C4⋊C4—101no—
600C4⋊C4—101no—
601C4⋊C4—101no—
602C4⋊C4—101no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—101no—
606C4⋊C4—101no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4C2×D2014yes—
615C22⋊C4—104no—
616C22⋊C4—104no—
617C22⋊C4—104no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4C2×D2014yes—
623C22⋊C4C2×D2014yes—
624C42—104no—
625C42—104no—
626C42—104no—
627C42C2×D2012yes—
628C42C23×D512yes—
629C2×C5—24no—
630C2×C5—42no—
631C2×C5#333714yescomplemented
632C2×C5C2×#54711yescharacteristic
633C2×C5C22×#13511yescharacteristic
634C2×C5C2×#57711yescharacteristic
635D5—82no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—22no—
641C23—102no—
642C23—202no—
643C23—202no—
644C23—202no—
645C23#405014yes—
646C23C22×D2012yes—
647C23C22×D2012yes—
648C23C22×D2011yescharacteristic
649Q8—102no—
650Q8—102no—
651Q8—202no—
652D4—28no—
653D4—102no—
654D4—102no—
655D4—208no—
656D4—202no—
657D4—404no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—208no—
676C2×C4—202no—
677C2×C4—202no—
678C2×C4—202no—
679C2×C4—202no—
680C2×C4—202no—
681C2×C4—202no—
682C2×C4—202no—
683C2×C4—404no—
684C2×C4—404no—
685C2×C4C22×D2012yes—
686C2×C4C22×D2012yes—
687C2×C4C22×D2012yes—
688C2×C4C22×D2012yes—
689C2×C4C22×D2011yescharacteristic
690C2×C4C2×#71112yes—
691C2×C4#415012yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—22no—
695C8—22no—
696C8C2×#71114yes—
697C5C2×#333711yescharacteristic, complemented, Sylow
698C22—22no—
699C22—22no—
700C22—28no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—44no—
705C22—202no—
706C22—202no—
707C22—202no—
708C22—404no—
709C22#6588912yes—
710C22C2×#405014yes—
711C22C2×#405012yes—
712C22#6608512yes—
713C22C23×D2011yescharacteristic
714C4—22no—
715C4—22no—
716C4—22no—
717C4—22no—
718C4—202no—
719C4—202no—
720C4—202no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6588912yes—
726C4C22×#71111yescharacteristic
727C4C2×#415011yescharacteristic
728C2—24no—
729C2—42no—
730C2—402no—
731C2#1061114514yesdirect product factor
732C2C2×#6588911yescharacteristic
733C2C22×#405011yescharacteristic
734C2C2×#6608511yescharacteristic
subgroupG/H
centerC23C22×D20
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×C8×D4C2
socleC23×C5C22×D4
prime radicalC2×#65899C2
hypercenterC2×C8×D4D5
hypocenterC5C2×#3337
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×C8×D4

Complements

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

NH ≅ G/Ntype
2. C2×#65875C2semidirect
3. C2×C5×C8×D4C2semidirect
4. C2×#65403C2semidirect
5. C2×#65403C2semidirect
6. C2×#65395C2semidirect
7. C22×#3949C2semidirect
8. #10611145C2direct (N × H)
9. C2×#65118C2semidirect
10. C2×#65136C2semidirect
11. C2×#65011C2semidirect
12. C2×#65012C2semidirect
13. C2×#65026C2semidirect
14. C2×#65025C2semidirect
15. C2×C4×#677C2semidirect
16. C2×#64972C2semidirect
34. #65875C22semidirect
45. C5×C8×D4C22semidirect
50. #65403C22semidirect
51. #65403C22semidirect
55. #65395C22semidirect
65. C2×#3949C22semidirect
69. #65136C22semidirect
70. #65118C22semidirect
71. #65026C22semidirect
72. #65025C22semidirect
73. #65012C22semidirect
74. #65011C22semidirect
75. C4×#677C22semidirect
76. #64972C22semidirect
193. C2×C8×D4D5semidirect
324. C8×D4C2×D5semidirect
631. C2×C5#3337semidirect
697. C5C2×#3337semidirect
731. C2#10611145direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658992
C2×#658752
C2×C5×C8×D42
C2×#654032
C2×#653952
C22×#39492
#106111452
C2×#651182
C2×#651362
C2×#650112
C2×#650122
C2×#650262
C2×#650252
C2×C4×#6772
C2×#649722
C2×#33375