Finite Group Databasebeta

← C2×#10618411 #13007741

Subgroups — C2×#10618411 #13007741

Order 1280.

7022 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#541C211yesmaximal, characteristic, complemented
2#10618411C2132yesmaximal, direct product factor
3C2×#66065C211yesmaximal, characteristic, complemented
4C2×D5×C4⋊Q8C211yesmaximal, characteristic, complemented
5C2×#66042C214yesmaximal, complemented
6C2×#66036C214yesmaximal, complemented
7C2×#66027C214yesmaximal, complemented
8C2×#66031C211yesmaximal, characteristic, complemented
9C2×#66019C214yesmaximal, complemented
10C2×#66022C211yesmaximal, characteristic, complemented
11C2×#65962C212yesmaximal
12C2×#65956C212yesmaximal, complemented
13C2×#65912C212yesmaximal, complemented
14C2×#65906C212yesmaximal, complemented
15C2×#65852C211yesmaximal, characteristic, complemented
16C2×#65856C211yesmaximal, characteristic
17C22×Q8×D5C2212yes—
18C22×#709C2211yescharacteristic
19C5×#541C22116yescomplemented
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C5×#126C2214yes—
22C2×C5×#125C2211yescharacteristic
23C2×C5×#125C2214yes—
24C2×C5×C22⋊Q8C2212yes—
25C2×C4×C5×Q8C2212yes—
26C2×C5×#117C2211yescharacteristic
27C2×#4092C2212yes—
28C2×Q8×Dic5C2212yes—
29C2×#4090C2212yes—
30C2×#4070C2212yes—
31C22×C4×Dic5C2211yescharacteristic
32#66065C22116yescomplemented
33D5×C4⋊Q8C22116yescomplemented
34#66042C22164yescomplemented
35#66036C22164yescomplemented
36#66031C22116yescomplemented
37#66027C22164yescomplemented
38#66022C22116yescomplemented
39#66019C22164yescomplemented
40#65962C22132yes—
41#65956C22132yescomplemented
42#65912C22132yescomplemented
43#65906C22132yescomplemented
44#65856C22116yes—
45#65852C22116yescomplemented
46C2×#4044C2214yes—
47C2×#4044C2214yes—
48C2×#4043C2212yes—
49C2×#4042C2214yes—
50C2×#4042C2214yes—
51C2×#4040C2214yes—
52C2×#4039C2212yes—
53C2×#4038C2212yes—
54C2×#4038C2214yes—
55C2×D5×C4⋊C4C2214yes—
56C2×#4036C2214yes—
57C2×#4035C2214yes—
58C2×#4035C2214yes—
59C2×#4035C2214yes—
60C2×#4035C2214yes—
61C2×#4034C2212yes—
62C2×#4034C2214yes—
63C2×#4034C2214yes—
64C2×#4033C2212yes—
65C2×#4033C2214yes—
66C2×#4033C2212yes—
67C2×#4033C2214yes—
68C2×#4033C2214yes—
69C2×#4031C2214yes—
70C2×#4029C2214yes—
71C2×#4027C2212yes—
72C2×#4027C2212yes—
73C2×#4025C2214yes—
74C2×#4024C2214yes—
75C2×#4023C2214yes—
76C2×#4018C2211yescharacteristic
77C2×#4018C2211yescharacteristic
78C2×#4018C2214yes—
79C2×#4018C2214yes—
80C2×C42×D5C2211yescharacteristic
81C2×C42×D5C2211yescharacteristic
82C2×#4016C2211yescharacteristic
83C2×#4015C2211yescharacteristic
84C2×C4×Dic10C2212yes—
85C2×C4×Dic10C2214yes—
86C2×C4×Dic10C2214yes—
87C2×#3509—51nomaximal, Sylow
88C22×C5×Q8C2312yes—
89C23×C4×C5C2311yescharacteristic
90C22×C22⋊D5C2311yescharacteristic
91C22×C22⋊D5C2311yescharacteristic
92C23×Dic5C2312yes—
93C2×Q8×D5—216no—
94C2×Q8×D5C23116yes—
95C2×#709—28no—
96C2×#709C2318yes—
97C22×D20C2311yescharacteristic
98C22×C4×D5C2312yes—
99C22×C4×D5C2311yescharacteristic
100C22×C4×D5C2312yes—
101C22×C4×D5C2314yes—
102C22×C4×D5C2311yescharacteristic
103C22×Dic10C2312yes—
104C22×Dic10C2314yes—
105C22×Dic10C2314yes—
106C22×Dic10C2311yescharacteristic
107C5×C4⋊Q8C2318yes—
108C5×#126C23132yes—
109C5×#125C23132yes—
110C5×#125C2318yes—
111C5×C22⋊Q8C23116yes—
112C4×C5×Q8C23116yes—
113C5×#117C2318yes—
114C2×C5×C4⋊C4C2314yes—
115C2×C5×C4⋊C4C2312yes—
116C2×C5×C4⋊C4C2312yes—
117C2×C5×C4⋊C4C2314yes—
118C2×C5×C4⋊C4C2314yes—
119C2×C5×C4⋊C4C2314yes—
120C2×C5×C22⋊C4C2314yes—
121C2×C5×C22⋊C4C2312yes—
122C2×C42×C5C2311yescharacteristic
123C2×C42×C5C2314yes—
124C2×C42×C5C2311yescharacteristic
125C2×C22⋊Dic5C2314yes—
126#4092C23116yes—
127Q8×Dic5C23116yes—
128#4090C23116yes—
129C2×#685C2312yes—
130C2×#685C2312yes—
131C2×#685C2314yes—
132C2×#685C2314yes—
133C2×#685C2314yes—
134C2×C4⋊Dic5C2312yes—
135C2×C4⋊Dic5C2314yes—
136C2×C4⋊Dic5C2314yes—
137C2×C4⋊Dic5C2314yes—
138#4070C23116yes—
139C2×#683C2314yes—
140C2×#683C2312yes—
141C2×#683C2314yes—
142C2×#683C2314yes—
143C2×#683C2314yes—
144C2×#683C2314yes—
145C2×#683C2314yes—
146C2×#683C2314yes—
147C2×#683C2312yes—
148C2×#683C2314yes—
149C2×C4×Dic5C2312yes—
150C2×C4×Dic5C2314yes—
151C2×C4×Dic5C2314yes—
152C2×C4×Dic5C2314yes—
153C2×C4×Dic5C2311yescharacteristic
154C2×C4×Dic5C2312yes—
155C2×C4×Dic5C2311yescharacteristic
156C2×C4×Dic5C2314yes—
157C2×C4×Dic5C2312yes—
158C2×C4×Dic5C2318yes—
159#4044C23132yes—
160#4044C23132yes—
161#4043C23116yes—
162#4042C23132yes—
163#4042C23132yes—
164#4040C23132yes—
165#4039C23116yes—
166#4038C23116yes—
167#4038C23132yes—
168D5×C4⋊C4C23132yes—
169#4036C23132yes—
170#4035C23132yes—
171#4035C23132yes—
172#4035C23132yes—
173#4035C23132yes—
174#4034C23132yes—
175#4034C23116yes—
176#4034C23132yes—
177#4033C23116yes—
178#4033C23116yes—
179#4033C23132yes—
180#4033C23132yes—
181#4033C23132yes—
182#4031C23132yes—
183#4029C23132yes—
184#4027C23116yes—
185#4027C23116yes—
186#4025C23132yes—
187#4024C23132yes—
188#4023C23132yes—
189#4018C2318yes—
190#4018C2318yes—
191#4018C23132yes—
192#4018C23132yes—
193C42×D5C2318yes—
194C42×D5C2318yes—
195#4016C2318yes—
196#4015C2318yes—
197C4×Dic10C23116yes—
198C4×Dic10C23132yes—
199C4×Dic10C23132yes—
200#3509—532no—
201C2×#557—54no—
202C2×#556—54no—
203C2×#552—54no—
204C2×#552—54no—
205C2×#541—51no—
206C2×#541—51no—
207C2×#541—51no—
208C2×#541D511yescharacteristic, complemented
209C2×#536—52no—
210C2×#533—51no—
211C2×#533—52no—
212C2×#533—52no—
213C22×C4⋊Q8—51no—
214C2×#519—52no—
215C2×C4×#41—51no—
216C24×C5C2411yescharacteristic
217C23×D5C2411yescharacteristic
218C23×D5C2411yescharacteristic
219C2×C5×Q8—28no—
220C2×C5×Q8C2418yes—
221C22×C4×C5—24no—
222C22×C4×C5C2412yes—
223C22×C4×C5C2414yes—
224C22×C4×C5C2412yes—
225C22×C4×C5C2414yes—
226C22×C4×C5C2411yescharacteristic
227C22×C4×C5C2414yes—
228C22×C4×C5C2411yescharacteristic
229C2×C22⋊D5—24no—
230C2×C22⋊D5—24no—
231C2×C22⋊D5C2414yes—
232C2×C22⋊D5C2414yes—
233C22×Dic5—28no—
234C22×Dic5C2414yes—
235C22×Dic5C2414yes—
236C22×Dic5C2411yescharacteristic
237C22×Dic5C2418yes—
238C22×Dic5C2412yes—
239C22×Dic5C2411yescharacteristic
240C22×Dic5C2412yes—
241Q8×D5—264no—
242#709—232no—
243C2×D20—24no—
244C2×D20C2414yes—
245C2×C4×D5—216no—
246C2×C4×D5—24no—
247C2×C4×D5—28no—
248C2×C4×D5—28no—
249C2×C4×D5#4118yes—
250C2×C4×D5C2414yes—
251C2×C4×D5C24116yes—
252C2×C4×D5C2418yes—
253C2×C4×D5C2418yes—
254C2×C4×D5C2414yes—
255C2×Dic10—28no—
256C2×Dic10—24no—
257C2×Dic10—216no—
258C2×Dic10—216no—
259C2×Dic10C2414yes—
260C2×Dic10C2418yes—
261C2×Dic10C24116yes—
262C2×Dic10C24116yes—
263C5×C4⋊C4C2418yes—
264C5×C4⋊C4C2418yes—
265C5×C4⋊C4C24116yes—
266C5×C4⋊C4C24116yes—
267C5×C4⋊C4C24116yes—
268C5×C4⋊C4C24116yes—
269C5×C22⋊C4C2418yes—
270C5×C22⋊C4C24116yes—
271C42×C5C2414yes—
272C42×C5C2414yes—
273C42×C5C24116yes—
274C22⋊Dic5C24116yes—
275#685C2418yes—
276#685C2418yes—
277#685C24116yes—
278#685C24116yes—
279#685C24116yes—
280C4⋊Dic5C2418yes—
281C4⋊Dic5C24116yes—
282C4⋊Dic5C24116yes—
283C4⋊Dic5C24116yes—
284#683C24116yes—
285#683C2418yes—
286#683C24116yes—
287#683C24116yes—
288#683C24116yes—
289#683C24116yes—
290#683C24116yes—
291#683C24116yes—
292#683C2418yes—
293#683C24116yes—
294C4×Dic5C2418yes—
295C4×Dic5C24116yes—
296C4×Dic5C24116yes—
297C4×Dic5C24116yes—
298C4×Dic5C2414yes—
299C4×Dic5C2418yes—
300C4×Dic5C2414yes—
301C4×Dic5C24116yes—
302C4×Dic5C2418yes—
303C22×#41—51no—
304C23×Q8—52no—
305#557—564no—
306#556—564no—
307#552—564no—
308#552—564no—
309#541—516no—
310#541—516no—
311#541—516no—
312#541C2×D5116yescomplemented
313#536—532no—
314#533—516no—
315#533—532no—
316#533—532no—
317C2×C4⋊Q8—52no—
318C2×C4⋊Q8—516no—
319C2×C4⋊Q8—54no—
320C2×C4⋊Q8—52no—
321C2×C4⋊Q8—54no—
322C2×C4⋊Q8—51no—
323C2×C4⋊Q8C2×D511yescharacteristic
324C2×#126—54no—
325C2×#126—54no—
326C2×#126—54no—
327C2×#126C2×D514yes—
328C2×#125—54no—
329C2×#125—54no—
330C2×#125—54no—
331C2×#125—54no—
332C2×#125—54no—
333C2×#125—51no—
334C2×#125C2×D511yescharacteristic
335C2×#125C2×D514yes—
336C2×#124—54no—
337C2×#123—54no—
338C2×#123—54no—
339C2×C22⋊Q8—52no—
340C2×C22⋊Q8—52no—
341C2×C22⋊Q8—54no—
342C2×C22⋊Q8—54no—
343C2×C22⋊Q8—52no—
344C2×C22⋊Q8—54no—
345C2×C22⋊Q8C2×D512yes—
346#519—532no—
347C4×#41—516no—
348C2×C4×Q8—52no—
349C2×C4×Q8—52no—
350C2×C4×Q8—52no—
351C2×C4×Q8—54no—
352C2×C4×Q8—54no—
353C2×C4×Q8—54no—
354C2×C4×Q8—52no—
355C2×C4×Q8—54no—
356C2×C4×Q8—54no—
357C2×C4×Q8C2×D512yes—
358C2×C4×D4—52no—
359C2×C4×D4—52no—
360C2×C4×D4—52no—
361C2×#117—52no—
362C2×#117—54no—
363C2×#117—54no—
364C2×#117—51no—
365C2×#117—51no—
366C2×#117—54no—
367C2×#117—54no—
368C2×#117C2×D511yescharacteristic
369C22×C4⋊C4—54no—
370C22×C42—51no—
371C22×C42—51no—
372C22×C42—51no—
373C23×C5—22no—
374C23×C5—24no—
375C23×C5C2512yes—
376C23×C5C2511yescharacteristic
377C22×D5—24no—
378C22×D5—22no—
379C22×D5—24no—
380C22×D5C2×#4114yes—
381C22×D5C2512yes—
382C22×D5C2512yes—
383C5×Q8—216no—
384C2×C4×C5—28no—
385C2×C4×C5—22no—
386C2×C4×C5—28no—
387C2×C4×C5—24no—
388C2×C4×C5—24no—
389C2×C4×C5—28no—
390C2×C4×C5C2×#4114yes—
391C2×C4×C5C2514yes—
392C2×C4×C5C2512yes—
393C2×C4×C5C2518yes—
394C2×C4×C5C2514yes—
395C2×C4×C5C2518yes—
396C2×C4×C5C2512yes—
397C22⋊D5—28no—
398C22⋊D5—28no—
399C2×Dic5—28no—
400C2×Dic5—22no—
401C2×Dic5—28no—
402C2×Dic5—24no—
403C2×Dic5—216no—
404C2×Dic5C2×#4114yes—
405C2×Dic52−1+418yes—
406C2×Dic5C2514yes—
407C2×Dic5C2518yes—
408C2×Dic5C2512yes—
409C2×Dic5C2518yes—
410C2×Dic5C2512yes—
411C2×Dic5C2514yes—
412D20—28no—
413C4×D5—232no—
414C4×D5—28no—
415C4×D5—216no—
416C4×D5—216no—
417C4×D5C2×#41116yes—
418Dic10—216no—
419Dic10—28no—
420Dic10—232no—
421Dic10—232no—
422C2×#41—58no—
423C2×#41—108no—
424C22×Q8—516no—
425C22×Q8—54no—
426C22×Q8—52no—
427C22×Q8—54no—
428C22×Q8—51no—
429C22×Q8—1016no—
430C22×Q8C22×D512yes—
431C22×D4—51no—
432C22×D4—51no—
433C22×D4—51no—
434C23×C4—51no—
435C23×C4—52no—
436C23×C4—54no—
437C23×C4—52no—
438C23×C4—52no—
439C23×C4—51no—
440C23×C4C22×D511yescharacteristic
441C4⋊Q8—516no—
442C4⋊Q8—532no—
443C4⋊Q8—516no—
444C4⋊Q8—532no—
445C4⋊Q8—58no—
446C4⋊Q8C22×D518yes—
447#126—532no—
448#126—532no—
449#126—532no—
450#126C22×D5132yes—
451#125—532no—
452#125—532no—
453#125—532no—
454#125—532no—
455#125—532no—
456#125—58no—
457#125C22×D518yes—
458#125C22×D5132yes—
459#124—532no—
460#123—532no—
461#123—532no—
462C22⋊Q8—516no—
463C22⋊Q8—516no—
464C22⋊Q8—516no—
465C22⋊Q8—532no—
466C22⋊Q8—532no—
467C22⋊Q8—532no—
468C22⋊Q8C22×D5116yes—
469C4×Q8—516no—
470C4×Q8—516no—
471C4×Q8—516no—
472C4×Q8—532no—
473C4×Q8—532no—
474C4×Q8—532no—
475C4×Q8—516no—
476C4×Q8—532no—
477C4×Q8—532no—
478C4×Q8C22×D5116yes—
479C4×D4—516no—
480C4×D4—516no—
481C4×D4—516no—
482#117—516no—
483#117—532no—
484#117—532no—
485#117—58no—
486#117—58no—
487#117—532no—
488#117—532no—
489#117C22×D518yes—
490C2×C4⋊C4—54no—
491C2×C4⋊C4—54no—
492C2×C4⋊C4—54no—
493C2×C4⋊C4—54no—
494C2×C4⋊C4—52no—
495C2×C4⋊C4—52no—
496C2×C4⋊C4—52no—
497C2×C4⋊C4—54no—
498C2×C4⋊C4—54no—
499C2×C4⋊C4—54no—
500C2×C4⋊C4—54no—
501C2×C4⋊C4—54no—
502C2×C4⋊C4—54no—
503C2×C4⋊C4—54no—
504C2×C4⋊C4—532no—
505C2×C4⋊C4C22×D514yes—
506C2×C4⋊C4C22×D512yes—
507C2×C4⋊C4C22×D514yes—
508C2×C4⋊C4C22×D512yes—
509C2×C4⋊C4C22×D514yes—
510C2×C4⋊C4C22×D514yes—
511C2×C22⋊C4—54no—
512C2×C22⋊C4—52no—
513C2×C22⋊C4—54no—
514C2×C22⋊C4—52no—
515C2×C22⋊C4—54no—
516C2×C22⋊C4—54no—
517C2×C22⋊C4C22×D514yes—
518C2×C22⋊C4C22×D512yes—
519C2×C42—51no—
520C2×C42—54no—
521C2×C42—54no—
522C2×C42—54no—
523C2×C42—54no—
524C2×C42—52no—
525C2×C42—52no—
526C2×C42—52no—
527C2×C42—58no—
528C2×C42—51no—
529C2×C42—58no—
530C2×C42—58no—
531C2×C42C22×D514yes—
532C2×C42C22×D511yescharacteristic
533C2×C42C22×D511yescharacteristic
534C22×C5—22no—
535C22×C5—24no—
536C22×C5—44no—
537C22×C5C22×#4112yes—
538C22×C5C2×2−1+414yes—
539C22×C5C2611yescharacteristic
540C2×D5—24no—
541C2×D5—28no—
542C2×D5—22no—
543C2×D5—24no—
544C2×D5—44no—
545C2×D5C22×#4114yes—
546C4×C5—28no—
547C4×C5—22no—
548C4×C5—28no—
549C4×C5—24no—
550C4×C5—24no—
551C4×C5C22×#4114yes—
552Dic5—28no—
553Dic5—22no—
554Dic5—28no—
555Dic5—24no—
556Dic5C22×#4114yes—
557Dic5C2×2−1+418yes—
558C24—51no—
559C24—51no—
560C24C23×D511yescharacteristic
561#41—1032no—
562C2×Q8—28no—
563C2×Q8—516no—
564C2×Q8—58no—
565C2×Q8—516no—
566C2×Q8—54no—
567C2×Q8—1016no—
568C2×Q8—104no—
569C2×Q8—1016no—
570C2×Q8—1064no—
571C2×Q8—108no—
572C2×Q8C23×D518yes—
573C2×D4—54no—
574C2×D4—54no—
575C2×D4—54no—
576C2×D4—104no—
577C2×D4—104no—
578C2×D4—104no—
579C22×C4—24no—
580C22×C4—51no—
581C22×C4—52no—
582C22×C4—58no—
583C22×C4—54no—
584C22×C4—58no—
585C22×C4—52no—
586C22×C4—54no—
587C22×C4—54no—
588C22×C4—51no—
589C22×C4—58no—
590C22×C4—58no—
591C22×C4—54no—
592C22×C4—516no—
593C22×C4—108no—
594C22×C4—108no—
595C22×C4—1016no—
596C22×C4—108no—
597C22×C4—104no—
598C22×C4C23×D514yes—
599C22×C4C23×D512yes—
600C22×C4C23×D514yes—
601C22×C4C23×D511yescharacteristic
602C22×C4C23×D512yes—
603C22×C4C23×D514yes—
604C22×C4C23×D511yescharacteristic
605C4⋊C4—516no—
606C4⋊C4—516no—
607C4⋊C4—516no—
608C4⋊C4—516no—
609C4⋊C4—58no—
610C4⋊C4—58no—
611C4⋊C4—58no—
612C4⋊C4—516no—
613C4⋊C4—516no—
614C4⋊C4—516no—
615C4⋊C4—516no—
616C4⋊C4—516no—
617C4⋊C4—516no—
618C4⋊C4—516no—
619C4⋊C4C23×D5116yes—
620C4⋊C4C23×D518yes—
621C4⋊C4C23×D5116yes—
622C4⋊C4C23×D518yes—
623C4⋊C4C23×D5116yes—
624C4⋊C4C23×D5116yes—
625C22⋊C4—516no—
626C22⋊C4—58no—
627C22⋊C4—516no—
628C22⋊C4—58no—
629C22⋊C4—516no—
630C22⋊C4—516no—
631C22⋊C4C23×D5116yes—
632C22⋊C4C23×D518yes—
633C42—54no—
634C42—54no—
635C42—58no—
636C42—58no—
637C42—58no—
638C42—516no—
639C42—516no—
640C42—516no—
641C42—516no—
642C42C23×D514yes—
643C42C23×D514yes—
644C42C23×D5116yes—
645C2×C5—42no—
646C2×C5#350914yescomplemented
647C2×C5C23×#4111yescharacteristic
648C2×C5C22×2−1+412yes—
649D5—24no—
650D5—42no—
651C23—22no—
652C23—24no—
653C23—54no—
654C23—52no—
655C23—52no—
656C23—104no—
657C23—102no—
658C23—104no—
659C23C24×D512yes—
660C23C24×D511yescharacteristic
661Q8—216no—
662Q8—1032no—
663Q8—108no—
664Q8—1032no—
665Q8—1016no—
666D4—108no—
667D4—108no—
668D4—108no—
669C2×C4—22no—
670C2×C4—28no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—54no—
676C2×C4—58no—
677C2×C4—52no—
678C2×C4—54no—
679C2×C4—516no—
680C2×C4—54no—
681C2×C4—58no—
682C2×C4—58no—
683C2×C4—52no—
684C2×C4—1016no—
685C2×C4—1016no—
686C2×C4—1032no—
687C2×C4—1016no—
688C2×C4—102no—
689C2×C4—108no—
690C2×C4—104no—
691C2×C4—108no—
692C2×C4—108no—
693C2×C4D5×#4114yes—
694C2×C4C24×D514yes—
695C2×C4C24×D518yes—
696C2×C4C24×D512yes—
697C2×C4C24×D514yes—
698C2×C4C24×D518yes—
699C2×C4C24×D512yes—
700C5C2×#350911yescharacteristic, complemented, Sylow
701C22—22no—
702C22—24no—
703C22—44no—
704C22—54no—
705C22—108no—
706C22—104no—
707C22—102no—
708C22—104no—
709C22—204no—
710C22C2×D5×#4112yes—
711C22D5×2−1+414yes—
712C22C25×D511yescharacteristic
713C4—22no—
714C4—28no—
715C4—24no—
716C4—24no—
717C4—28no—
718C4—54no—
719C4—58no—
720C4—102no—
721C4—108no—
722C4—104no—
723C4—108no—
724C4C2×D5×#4114yes—
725C2—42no—
726C2—104no—
727C2—202no—
728C2#1061841114yesdirect product factor
729C2C22×D5×#4111yescharacteristic
730C2C2×D5×2−1+412yes—
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#541C2
socleC23×C5C25
prime radicalC22×#709C22
hypercenterC2×#541D5
hypocenterC5C2×#3509
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. C2×C5×#541C2semidirect
2. #10618411C2direct (N × H)
3. C2×#66065C2semidirect
4. C2×D5×C4⋊Q8C2semidirect
5. C2×#66042C2semidirect
6. C2×#66036C2semidirect
7. C2×#66027C2semidirect
8. C2×#66031C2semidirect
9. C2×#66019C2semidirect
10. C2×#66022C2semidirect
12. C2×#65956C2semidirect
13. C2×#65912C2semidirect
14. C2×#65906C2semidirect
15. C2×#65852C2semidirect
19. C5×#541C22semidirect
32. #66065C22semidirect
33. D5×C4⋊Q8C22semidirect
34. #66042C22semidirect
35. #66036C22semidirect
36. #66031C22semidirect
37. #66027C22semidirect
38. #66022C22semidirect
39. #66019C22semidirect
41. #65956C22semidirect
42. #65912C22semidirect
43. #65906C22semidirect
45. #65852C22semidirect
208. C2×#541D5semidirect
312. #541C2×D5semidirect
646. C2×C5#3509semidirect
700. C5C2×#3509semidirect
728. C2#10618411direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5412
#106184112
C2×#660652
C2×D5×C4⋊Q82
C2×#660422
C2×#660362
C2×#660272
C2×#660312
C2×#660192
C2×#660222
C2×#659622
C2×#659562
C2×#659122
C2×#659062
C2×#658522
C2×#658562
C2×#35095