Finite Group Databasebeta

← #12967113

Subgroups — #12967113

Order 1280.

2346 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66162C211yesmaximal, characteristic
2C2×D5×#117C211yesmaximal, characteristic, complemented
3C5×#2896C211yesmaximal, characteristic, complemented
4#10615803C211yesmaximal, characteristic, complemented
5C2×#65415C211yesmaximal, characteristic, complemented
6#10615483C211yesmaximal, characteristic, complemented
7#10613938C211yesmaximal, characteristic, complemented
8#10610696C214yesmaximal, complemented
9#10610664C214yesmaximal, complemented
10#10610624C214yesmaximal, complemented
11#10610623C214yesmaximal, complemented
12#10610573C218yesmaximal, complemented
13C22×C5×#41C2211yescharacteristic
14C23×C4×D5C2211yescharacteristic
15C22×C5×M16C2211yescharacteristic
16C2×C5×#117C2211yescharacteristic
17#66162—21no—
18#66162—21no—
19#66162—22no—
20#66162C2214yes—
21#66162C2212yes—
22#66162C2212yes—
23C2×#4092C2212yes—
24C2×#4084C2212yes—
25C2×#4083—21no—
26C2×#4081—21no—
27C2×C4×C22⋊D5—22no—
28C2×#4072C2211yescharacteristic
29C2×#4072C2211yescharacteristic
30C22×#681C2211yescharacteristic
31D5×#117—22no—
32D5×#117—22no—
33D5×#117C2214yes—
34D5×#117C2214yescomplemented
35C2×#4038C2212yescomplemented
36C2×D5×C4⋊C4C2212yescomplemented
37C2×D5×C22⋊C4—21no—
38C2×#4023—21no—
39C2×#4018—21no—
40C2×C42×D5—21no—
41C5×#419C2212yescomplemented
42C5×#418C2212yescomplemented
43C5×#417C2214yescomplemented
44C5×#416C2214yescomplemented
45#65522C2214yescomplemented
46#65521C2214yescomplemented
47#65514C2212yescomplemented
48#65504C2212yescomplemented
49#65415C2214yes—
50#65415C2212yescomplemented
51#65415C2212yescomplemented
52#65410C2214yescomplemented
53#65410C2214yescomplemented
54C2×#3952C2214yescomplemented
55#65395C2214yescomplemented
56#65287C2214yescomplemented
57#65284C2214yescomplemented
58#65253C2214yescomplemented
59#65104C2218yescomplemented
60#65103C2218yescomplemented
61#65098C2218yescomplemented
62#65094C2218yescomplemented
63#65073C2218yescomplemented
64#65068C2218yescomplemented
65#65066C2218yescomplemented
66#65063C2218yescomplemented
67#60511—51nomaximal, Sylow
68C24×D5D411yescharacteristic
69C2×C5×#41—21no—
70C2×C5×#41—21no—
71C2×C5×#41—24no—
72C2×C5×#41—24no—
73C2×C5×#41C2312yes—
74C2×C5×#41C2312yes—
75C22×C5×Q8C2311yescharacteristic
76C22×C5×D4—21no—
77C22×C5×D4C2311yescharacteristic
78C23×C4×C5—21no—
79C23×C4×C5C2311yescharacteristic
80C22×C22⋊D5—22no—
81C23×Dic5D411yescharacteristic
82C22×C4×D5—24no—
83C22×C4×D5—24no—
84C22×C4×D5—22no—
85C22×C4×D5D411yescharacteristic
86C22×C4×D5D411yescharacteristic
87C22×C4×D5D412yes—
88C22×C4×D5D412yes—
89C22×C4×D5C2311yescharacteristic
90C22×C4×D5C2311yescharacteristic
91C22×C4×D5C2312yes—
92C22×C4×D5C2312yes—
93C2×C5×M16—24no—
94C2×C5×M16C2312yes—
95C2×C5×M16C2312yes—
96C22×C5×C8C2312yes—
97C5×#117—21no—
98C5×#117—21no—
99C5×#117C2312yes—
100C5×#117C2312yes—
101C2×C5×C4⋊C4C2312yes—
102C2×C5×C22⋊C4—21no—
103C2×C42×C5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—22no—
107#4092—22no—
108#4092—22no—
109#4092C2314yes—
110#4092C2314yes—
111#4084—22no—
112#4084—22no—
113#4084C2314yes—
114#4084C2314yes—
115#4083—22no—
116#4083—24no—
117#4083—22no—
118#4081—24no—
119#4081—22no—
120#4081—22no—
121C4×C22⋊D5—24no—
122C4×C22⋊D5—24no—
123C4×C22⋊D5—24no—
124C4×C22⋊D5—24no—
125C2×#685—22no—
126C2×#685—22no—
127#4072—21no—
128#4072—21no—
129#4072—21no—
130#4072—21no—
131#4072C2312yes—
132#4072C2312yes—
133#4072C2312yes—
134#4072C2312yes—
135C2×C4⋊Dic5C2312yes—
136C2×C4⋊Dic5C2312yes—
137C2×#683—22no—
138C2×#683—22no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5—21no—
141C2×C4×Dic5—22no—
142C2×#681—24no—
143C2×#681C2312yes—
144C2×#681C2312yes—
145C22×#168C2312yes—
146#4038—22no—
147#4038—22no—
148#4038C2314yes—
149#4038C2314yes—
150D5×C4⋊C4—22no—
151D5×C4⋊C4—22no—
152D5×C4⋊C4C2314yes—
153D5×C4⋊C4C2314yes—
154D5×C22⋊C4—24no—
155D5×C22⋊C4—24no—
156#4023—24no—
157#4023—24no—
158#4018—24no—
159#4018—24no—
160C42×D5—24no—
161C42×D5—24no—
162C5×#103C2318yescomplemented
163C5×#102C2318yescomplemented
164#3967C2318yescomplemented
165#3964C2318yescomplemented
166#3952C2318yes—
167#3952C2318yes—
168#3950C2318yescomplemented
169#3949C2318yescomplemented
170#3940C2318yescomplemented
171#3939C2318yescomplemented
172C2×#525—51no—
173C22×#117—51no—
174#3095—54no—
175#3094—54no—
176#3093—54no—
177#3092—54no—
178#3091—58no—
179#2911—51no—
180#2911—51no—
181#2896—51no—
182#2896D511yescharacteristic, complemented
183C2×#407—51no—
184C24×C5—21no—
185C24×C5C2×D411yescharacteristic
186C23×D5—24no—
187C23×D5—44no—
188C23×D5C2×D411yescharacteristic
189C23×D5C2×D412yes—
190C23×D5C2×D412yes—
191C23×D5C2×D411yescharacteristic
192C5×#41—24no—
193C5×#41—24no—
194C5×#41—24no—
195C5×#41—24no—
196C5×#41—44no—
197C5×#41—44no—
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8—22no—
201C2×C5×Q8C2412yes—
202C2×C5×D4—22no—
203C2×C5×D4—22no—
204C2×C5×D4—21no—
205C2×C5×D4—22no—
206C2×C5×D4—22no—
207C2×C5×D4—44no—
208C2×C5×D4C2412yes—
209C22×C4×C5—22no—
210C22×C4×C5—21no—
211C22×C4×C5—22no—
212C22×C4×C5—22no—
213C22×C4×C5—44no—
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5#4114yes—
218C22×C4×C5#4114yes—
219C22×C4×C5C2411yescharacteristic
220C22×C4×C5C2411yescharacteristic
221C22×C4×C5C2411yescharacteristic
222C2×C22⋊D5—24no—
223C2×C22⋊D5—24no—
224C2×C22⋊D5—48no—
225C22×Dic5—24no—
226C22×Dic5—22no—
227C22×Dic5—22no—
228C22×Dic5C2×D412yes—
229C22×Dic5C2×D412yes—
230C22×Dic5C2×D411yescharacteristic
231C22×Dic5C2×D411yescharacteristic
232C2×C4×D5—28no—
233C2×C4×D5—24no—
234C2×C4×D5—24no—
235C2×C4×D5—28no—
236C2×C4×D5—24no—
237C2×C4×D5—24no—
238C2×C4×D5—22no—
239C2×C4×D5—22no—
240C2×C4×D5—24no—
241C2×C4×D5—24no—
242C2×C4×D5—22no—
243C2×C4×D5—22no—
244C2×C4×D5—24no—
245C2×C4×D5—24no—
246C2×C4×D5—48no—
247C2×C4×D5C2×D412yes—
248C2×C4×D5C2×D412yes—
249C2×C4×D5C2×D412yes—
250C2×C4×D5C2×D412yes—
251C2×C4×D5C2×D412yes—
252C2×C4×D5C2×D412yes—
253C2×C4×D5C2412yes—
254C2×C4×D5C2412yes—
255C5×M16—24no—
256C5×M16—24no—
257C2×C5×C8—24no—
258C2×C5×C8C2414yes—
259C5×C4⋊C4—22no—
260C5×C4⋊C4C2414yes—
261C5×C22⋊C4—22no—
262C5×C22⋊C4—22no—
263C42×C5—22no—
264C42×C5—22no—
265C22⋊Dic5—22no—
266C22⋊Dic5—22no—
267C22⋊Dic5—22no—
268C22⋊Dic5—22no—
269C22⋊Dic5—24no—
270C22⋊Dic5—24no—
271#685—24no—
272#685—24no—
273#685—24no—
274#685—24no—
275C4⋊Dic5—22no—
276C4⋊Dic5—22no—
277C4⋊Dic5C2414yes—
278C4⋊Dic5C2414yes—
279#683—24no—
280#683—24no—
281#683—24no—
282#683—24no—
283C4×Dic5—22no—
284C4×Dic5—22no—
285C4×Dic5—22no—
286C4×Dic5—22no—
287C4×Dic5—24no—
288C4×Dic5—24no—
289#681—24no—
290#681—24no—
291C2×#168—24no—
292C2×#168C2414yes—
293C22×#41C2×D511yescharacteristic
294C24×C4—51no—
295C22×M16—51no—
296C22×M16C2×D511yescharacteristic
297#525—54no—
298#525—52no—
299#525—52no—
300#525—102no—
301#525—101no—
302#525—101no—
303C2×#123—101no—
304C2×C22⋊Q8—52no—
305C2×#121—52no—
306C2×#120—101no—
307C2×C4×D4—102no—
308C2×#117—51no—
309C2×#117—51no—
310C2×#117—54no—
311C2×#117—54no—
312C2×#117—52no—
313C2×#117—101no—
314C2×#117—101no—
315C2×#117—102no—
316C2×#117—102no—
317C2×#117C2×D511yescharacteristic
318C22×C4⋊C4—52no—
319C22×C22⋊C4—101no—
320C22×C42—101no—
321#485—58no—
322#485—58no—
323#484—58no—
324#483—58no—
325#482—58no—
326#482—58no—
327#481—58no—
328#480—58no—
329#428—54no—
330#428—54no—
331#428—54no—
332#428—54no—
333#427—54no—
334#427—54no—
335#419—52no—
336#419C2×D512yescomplemented
337#418—52no—
338#418C2×D512yescomplemented
339#417—54no—
340#417C2×D514yescomplemented
341#416—54no—
342#416C2×D514yescomplemented
343#407—52no—
344#407—52no—
345#407—54no—
346C2×C22⋊C8—54no—
347C23×C5—22no—
348C23×C5—42no—
349C23×C5—44no—
350C23×C5—42no—
351C23×C5#12314yes—
352C23×C5C22×D411yescharacteristic
353C23×C5C22×D411yescharacteristic
354C23×C5C22×D411yescharacteristic
355C22×D5—22no—
356C22×D5—24no—
357C22×D5—24no—
358C22×D5—24no—
359C22×D5—22no—
360C22×D5—24no—
361C22×D5—24no—
362C22×D5—42no—
363C22×D5—42no—
364C22×D5—42no—
365C22×D5—416no—
366C22×D5C22×D412yes—
367C22×D5C22×D412yes—
368C5×Q8—22no—
369C5×Q8—22no—
370C5×Q8—42no—
371C5×D4—22no—
372C5×D4—22no—
373C5×D4—44no—
374C5×D4—44no—
375C5×D4—42no—
376C2×C4×C5—24no—
377C2×C4×C5—22no—
378C2×C4×C5—44no—
379C2×C4×C5—42no—
380C2×C4×C5—44no—
381C2×C4×C5—44no—
382C2×C4×C5#12314yes—
383C2×C4×C5#12314yes—
384C2×C4×C5#12314yes—
385C2×C4×C5C22×D411yescharacteristic
386C2×C4×C5C22×D411yescharacteristic
387C2×C4×C5C22×D411yescharacteristic
388C2×C4×C5C2×#4112yes—
389C2×C4×C5C2×#4112yes—
390C2×C4×C5C2×#4112yes—
391C2×C4×C5C2×#4112yes—
392C2×C4×C5C2×#4112yes—
393C2×C4×C5C2×#4112yes—
394C2×C4×C5C2511yescharacteristic
395C22⋊D5—48no—
396C22⋊D5—48no—
397C2×Dic5—24no—
398C2×Dic5—24no—
399C2×Dic5—22no—
400C2×Dic5—22no—
401C2×Dic5—24no—
402C2×Dic5—24no—
403C2×Dic5—44no—
404C2×Dic5—44no—
405C2×Dic5C22×D412yes—
406C2×Dic5C22×D412yes—
407C4×D5—24no—
408C4×D5—24no—
409C4×D5—24no—
410C4×D5—24no—
411C4×D5—24no—
412C4×D5—24no—
413C4×D5—22no—
414C4×D5—22no—
415C4×D5—22no—
416C4×D5—22no—
417C4×D5—48no—
418C4×D5—48no—
419C5×C8—24no—
420#168—24no—
421C25—51no—
422C2×#41—21no—
423C2×#41—21no—
424C2×#41—24no—
425C2×#41—24no—
426C2×#41C22×D512yes—
427C2×#41C22×D512yes—
428C22×Q8C22×D511yescharacteristic
429C22×D4—21no—
430C22×D4—102no—
431C22×D4C22×D511yescharacteristic
432C23×C4—21no—
433C23×C4—51no—
434C23×C4—52no—
435C23×C4—51no—
436C23×C4—52no—
437C23×C4—51no—
438C23×C4—51no—
439C23×C4—52no—
440C23×C4—52no—
441C23×C4—51no—
442C23×C4—102no—
443C23×C4—104no—
444C23×C4—104no—
445C23×C4C22×D511yescharacteristic
446C2×M16—24no—
447C2×M16—52no—
448C2×M16—52no—
449C2×M16—104no—
450C2×M16C22×D512yes—
451C2×M16C22×D512yes—
452C22×C8—52no—
453C22×C8C22×D512yes—
454#123—102no—
455#123—102no—
456#123—104no—
457C22⋊Q8—54no—
458C22⋊Q8—54no—
459C22⋊Q8—102no—
460C22⋊Q8—102no—
461#121—54no—
462#121—54no—
463#121—102no—
464#121—102no—
465#120—102no—
466#120—104no—
467#120—102no—
468C4×D4—104no—
469C4×D4—104no—
470C4×D4—104no—
471C4×D4—104no—
472#117—21no—
473#117—21no—
474#117—52no—
475#117—52no—
476#117—52no—
477#117—52no—
478#117—54no—
479#117—54no—
480#117—104no—
481#117—104no—
482#117—104no—
483#117—104no—
484#117—102no—
485#117—102no—
486#117—101no—
487#117—101no—
488#117—101no—
489#117—101no—
490#117C22×D512yes—
491#117C22×D512yes—
492C2×C4⋊C4—52no—
493C2×C4⋊C4—52no—
494C2×C4⋊C4—54no—
495C2×C4⋊C4—54no—
496C2×C4⋊C4—102no—
497C2×C4⋊C4—102no—
498C2×C4⋊C4—102no—
499C2×C4⋊C4—102no—
500C2×C4⋊C4C22×D512yes—
501C2×C22⋊C4—21no—
502C2×C22⋊C4—104no—
503C2×C22⋊C4—104no—
504C2×C22⋊C4—102no—
505C2×C22⋊C4—102no—
506C2×C22⋊C4—102no—
507C2×C22⋊C4—101no—
508C2×C22⋊C4—101no—
509C2×C42—21no—
510C2×C42—104no—
511C2×C42—104no—
512C2×C42—102no—
513C2×C42—101no—
514C2×C42—101no—
515#107—58no—
516#107—58no—
517#106—58no—
518#106—58no—
519#103—58no—
520#103C22×D518yescomplemented
521#102—58no—
522#102C22×D518yescomplemented
523C22⋊C8—58no—
524C22⋊C8—58no—
525C22×C5—22no—
526C22×C5—22no—
527C22×C5—22no—
528C22×C5—44no—
529C22×C5—42no—
530C22×C5—44no—
531C22×C5—84no—
532C22×C5C2×#12312yes—
533C22×C5C2×#12312yes—
534C22×C5C2×#12312yes—
535C22×C5C23×D411yescharacteristic
536C2×D5—28no—
537C2×D5—22no—
538C2×D5—22no—
539C2×D5—22no—
540C2×D5—22no—
541C2×D5—22no—
542C2×D5—48no—
543C2×D5—48no—
544C2×D5—44no—
545C2×D5#57514yes—
546C4×C5—42no—
547C4×C5—44no—
548C4×C5C2×#12312yes—
549C4×C5C2×#12312yes—
550C4×C5C2×#12312yes—
551C4×C5C22×#4111yescharacteristic
552C4×C5C22×#4111yescharacteristic
553Dic5—22no—
554Dic5—22no—
555Dic5—44no—
556Dic5—44no—
557C24—21no—
558C24—51no—
559C24—52no—
560C24—52no—
561C24—51no—
562C24—104no—
563C24—204no—
564C24D4×D511yescharacteristic
565#41—24no—
566#41—24no—
567#41—24no—
568#41—24no—
569#41—44no—
570#41—44no—
571C2×Q8—21no—
572C2×Q8—22no—
573C2×Q8—22no—
574C2×Q8C23×D512yes—
575C2×D4—22no—
576C2×D4—22no—
577C2×D4—22no—
578C2×D4—21no—
579C2×D4—22no—
580C2×D4—44no—
581C2×D4—104no—
582C2×D4—104no—
583C2×D4—208no—
584C2×D4C23×D512yes—
585C22×C4—22no—
586C22×C4—21no—
587C22×C4—22no—
588C22×C4—22no—
589C22×C4—44no—
590C22×C4—51no—
591C22×C4—52no—
592C22×C4—51no—
593C22×C4—52no—
594C22×C4—52no—
595C22×C4—52no—
596C22×C4—52no—
597C22×C4—52no—
598C22×C4—52no—
599C22×C4—52no—
600C22×C4—52no—
601C22×C4—52no—
602C22×C4—104no—
603C22×C4—104no—
604C22×C4—104no—
605C22×C4—104no—
606C22×C4—104no—
607C22×C4—102no—
608C22×C4—102no—
609C22×C4—104no—
610C22×C4—104no—
611C22×C4—102no—
612C22×C4—102no—
613C22×C4—108no—
614C22×C4—104no—
615C22×C4—104no—
616C22×C4—108no—
617C22×C4—102no—
618C22×C4—102no—
619C22×C4—208no—
620C22×C4#70914yes—
621C22×C4D4×D511yescharacteristic
622C22×C4D4×D511yescharacteristic
623C22×C4D4×D511yescharacteristic
624C22×C4#71114yes—
625C22×C4C23×D511yescharacteristic
626C22×C4C23×D511yescharacteristic
627C22×C4C23×D511yescharacteristic
628M16—24no—
629M16—24no—
630M16—104no—
631M16—104no—
632C2×C8—24no—
633C2×C8—54no—
634C2×C8—104no—
635C2×C8C23×D514yes—
636C4⋊C4—22no—
637C4⋊C4—54no—
638C4⋊C4—54no—
639C4⋊C4—104no—
640C4⋊C4—104no—
641C4⋊C4—104no—
642C4⋊C4—104no—
643C4⋊C4—102no—
644C4⋊C4—102no—
645C4⋊C4C23×D514yes—
646C22⋊C4—22no—
647C22⋊C4—22no—
648C22⋊C4—104no—
649C22⋊C4—104no—
650C22⋊C4—104no—
651C22⋊C4—104no—
652C22⋊C4—104no—
653C22⋊C4—104no—
654C22⋊C4—102no—
655C22⋊C4—102no—
656C22⋊C4—102no—
657C22⋊C4—102no—
658C42—22no—
659C42—22no—
660C42—104no—
661C42—104no—
662C42—102no—
663C42—102no—
664C42—102no—
665C42—102no—
666C2×C5—22no—
667C2×C5—22no—
668C2×C5—22no—
669C2×C5—82no—
670C2×C5C22×#12311yescharacteristic
671C2×C5C2×#57512yes—
672D5—24no—
673D5—42no—
674C23—22no—
675C23—42no—
676C23—44no—
677C23—42no—
678C23—52no—
679C23—52no—
680C23—104no—
681C23—104no—
682C23—104no—
683C23—102no—
684C23—104no—
685C23—104no—
686C23—102no—
687C23—202no—
688C23—202no—
689C23—202no—
690C23—2016no—
691C23#402914yes—
692C23C2×D4×D511yescharacteristic
693C23C2×D4×D511yescharacteristic
694C23C2×D4×D511yescharacteristic
695Q8—22no—
696Q8—22no—
697Q8—42no—
698D4—22no—
699D4—22no—
700D4—44no—
701D4—44no—
702D4—42no—
703D4—208no—
704D4—208no—
705C2×C4—24no—
706C2×C4—22no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—52no—
712C2×C4—52no—
713C2×C4—104no—
714C2×C4—102no—
715C2×C4—102no—
716C2×C4—104no—
717C2×C4—104no—
718C2×C4—104no—
719C2×C4—104no—
720C2×C4—104no—
721C2×C4—104no—
722C2×C4—104no—
723C2×C4—102no—
724C2×C4—102no—
725C2×C4—102no—
726C2×C4—102no—
727C2×C4—104no—
728C2×C4—104no—
729C2×C4—208no—
730C2×C4—208no—
731C2×C4—204no—
732C2×C4—204no—
733C2×C4#402914yes—
734C2×C4#402914yes—
735C2×C4#402914yes—
736C2×C4C2×#70912yes—
737C2×C4C2×#70912yes—
738C2×C4C2×#70912yes—
739C2×C4C2×D4×D511yescharacteristic
740C2×C4C2×D4×D511yescharacteristic
741C2×C4C2×D4×D511yescharacteristic
742C2×C4C2×#71112yes—
743C2×C4C2×#71112yes—
744C2×C4C2×#71112yes—
745C2×C4C24×D511yescharacteristic
746C8—24no—
747C8—104no—
748C5#6051111yescharacteristic, complemented, Sylow
749C22—22no—
750C22—22no—
751C22—22no—
752C22—44no—
753C22—44no—
754C22—42no—
755C22—54no—
756C22—84no—
757C22—108no—
758C22—102no—
759C22—102no—
760C22—102no—
761C22—102no—
762C22—102no—
763C22—208no—
764C22—208no—
765C22—204no—
766C22C2×#402912yes—
767C22C2×#402912yes—
768C22C2×#402912yes—
769C22C22×D4×D511yescharacteristic
770C4—44no—
771C4—42no—
772C4—102no—
773C4—102no—
774C4—204no—
775C4—204no—
776C4C2×#402912yes—
777C4C2×#402912yes—
778C4C2×#402912yes—
779C4C22×#70911yescharacteristic
780C4C22×#71111yescharacteristic
781C2—22no—
782C2—22no—
783C2—22no—
784C2—82no—
785C2—104no—
786C2—202no—
787C2C22×#402911yescharacteristic
788C2D5×#57512yes—
subgroupG/H
centerC2×C4C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#2896C2
socleC22×C5C23×D4
prime radicalC2×#66162C2
hypercenter#2896D5
hypocenterC5#60511
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
2. C2×D5×#117C2semidirect
3. C5×#2896C2semidirect
4. #10615803C2semidirect
5. C2×#65415C2semidirect
6. #10615483C2semidirect
7. #10613938C2semidirect
8. #10610696C2semidirect
9. #10610664C2semidirect
10. #10610624C2semidirect
11. #10610623C2semidirect
12. #10610573C2semidirect
34. D5×#117C22semidirect
35. C2×#4038C22semidirect
36. C2×D5×C4⋊C4C22semidirect
41. C5×#419C22semidirect
42. C5×#418C22semidirect
43. C5×#417C22semidirect
44. C5×#416C22semidirect
45. #65522C22semidirect
46. #65521C22semidirect
47. #65514C22semidirect
48. #65504C22semidirect
50. #65415C22semidirect
51. #65415C22semidirect
52. #65410C22semidirect
53. #65410C22semidirect
54. C2×#3952C22semidirect
55. #65395C22semidirect
56. #65287C22semidirect
57. #65284C22semidirect
58. #65253C22semidirect
59. #65104C22semidirect
60. #65103C22semidirect
61. #65098C22semidirect
62. #65094C22semidirect
63. #65073C22semidirect
64. #65068C22semidirect
65. #65066C22semidirect
66. #65063C22semidirect
162. C5×#103C23semidirect
163. C5×#102C23semidirect
164. #3967C23semidirect
165. #3964C23semidirect
168. #3950C23semidirect
169. #3949C23semidirect
170. #3940C23semidirect
171. #3939C23semidirect
182. #2896D5semidirect
336. #419C2×D5semidirect
338. #418C2×D5semidirect
340. #417C2×D5semidirect
342. #416C2×D5semidirect
520. #103C22×D5semidirect
522. #102C22×D5semidirect
748. C5#60511semidirect

Maximal subgroups

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

subgroupindex
C2×#661622
C2×D5×#1172
C5×#28962
#106158032
C2×#654152
#106154832
#106139382
#106106962
#106106642
#106106242
#106106232
#106105732
#605115