Finite Group Databasebeta

← C2×#10612143 #12967560

Subgroups — C2×#10612143 #12967560

Order 1280.

2070 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66065C211yesmaximal, characteristic, complemented
2C2×#65880C211yesmaximal, characteristic
3C2×C5×#461C211yesmaximal, characteristic, complemented
4C2×#65462C211yesmaximal, characteristic
5C2×#65462C211yesmaximal, characteristic
6C2×#65453C211yesmaximal, characteristic, complemented
7C2×SD16×Dic5C211yesmaximal, characteristic, complemented
8C2×#65379C211yesmaximal, characteristic, complemented
9C2×#65298C211yesmaximal, characteristic, complemented
10#10612143C2116yesmaximal, direct product factor
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×#65129C211yesmaximal, characteristic, complemented
13C2×#65098C211yesmaximal, characteristic, complemented
14C2×#65094C211yesmaximal, characteristic, complemented
15C2×#65078C211yesmaximal, characteristic, complemented
16C2×#65079C211yesmaximal, characteristic, complemented
17C22×#711C2211yescharacteristic
18C22×C5×SD16C2211yescharacteristic
19C22×C5×SD16C2211yescharacteristic
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C4×C5×D4C2211yescharacteristic
22C2×#4092C2211yescharacteristic
23C2×#4092C2211yescharacteristic
24C2×Q8×Dic5C2211yescharacteristic
25C2×Q8×Dic5C2211yescharacteristic
26C22×#689C2211yescharacteristic
27C22×#689C2211yescharacteristic
28C2×D4×Dic5C2211yescharacteristic
29C2×C4×C22⋊D5—21no—
30C22×#683—21no—
31#66065—24no—
32#66065C2218yescomplemented
33#65880—24no—
34#65880C2218yes—
35C2×#4044—21no—
36C2×#4044—21no—
37C2×D5×C4⋊C4C2211yescharacteristic
38C2×#4035—21no—
39C2×#4035—21no—
40C2×#4033C2211yescharacteristic
41C2×#4027—21no—
42C2×#4023—21no—
43C2×#4018C2211yescharacteristic
44C2×#4016C2211yescharacteristic
45C2×C4×Dic10C2211yescharacteristic
46C5×#461C2218yescomplemented
47C2×C5×C4⋊C8C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65462C2218yes—
55#65462C2218yes—
56#65453C2218yescomplemented
57SD16×Dic5C2218yescomplemented
58C2×#3952C2211yescharacteristic
59C2×#3952C2211yescharacteristic
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3948C2211yescharacteristic
63C2×#3948C2211yescharacteristic
64C2×#3947C2211yescharacteristic
65C2×C8×Dic5C2211yescharacteristic
66#65379C2218yescomplemented
67#65298C2218yescomplemented
68C2×#3940C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×C4⋊#168C2211yescharacteristic
71#65129C2218yescomplemented
72#65118C2218yescomplemented
73#65098C2218yescomplemented
74#65094C2218yescomplemented
75#65079C2218yescomplemented
76#65078C2218yescomplemented
77C2×#3120—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C23×C4×C5—21no—
82C22×C22⋊D5—21no—
83C23×Dic5—21no—
84C23×Dic5—21no—
85C2×#711—24no—
86C2×#711—22no—
87C2×#711—24no—
88C2×#711C2314yes—
89C22×C4×D5—21no—
90C22×C4×D5C2311yescharacteristic
91C22×Dic10C2311yescharacteristic
92C2×C5×SD16—24no—
93C2×C5×SD16—24no—
94C2×C5×SD16C2314yes—
95C2×C5×SD16C2314yes—
96C22×C5×C8C2311yescharacteristic
97C22×C5×C8C2311yescharacteristic
98C5×C4⋊Q8—22no—
99C5×C4⋊Q8C2314yes—
100C4×C5×D4—22no—
101C4×C5×D4C2314yes—
102C2×C5×C4⋊C4—21no—
103C2×C5×C4⋊C4—21no—
104C2×C5×C4⋊C4C2311yescharacteristic
105C2×C5×C22⋊C4—21no—
106C2×C42×C5C2311yescharacteristic
107C2×C22⋊Dic5—21no—
108#4092—22no—
109#4092—22no—
110#4092C2314yes—
111#4092C2314yes—
112Q8×Dic5—22no—
113Q8×Dic5—22no—
114Q8×Dic5C2314yes—
115Q8×Dic5C2314yes—
116C2×#689—24no—
117C2×#689—24no—
118C2×#689C2314yes—
119C2×#689C2314yes—
120D4×Dic5—22no—
121D4×Dic5C2314yes—
122C4×C22⋊D5—28no—
123C2×#685—21no—
124C2×#685—21no—
125C2×#685D411yescharacteristic
126C2×#685D411yescharacteristic
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5—21no—
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131C2×C4⋊Dic5C2311yescharacteristic
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—28no—
140C2×#683D411yescharacteristic
141C2×#683D411yescharacteristic
142C2×C4×Dic5—21no—
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×C4×Dic5—21no—
146C2×C4×Dic5C2311yescharacteristic
147C22×#168C2311yescharacteristic
148C22×#168C2311yescharacteristic
149#4044—28no—
150#4044—28no—
151D5×C4⋊C4—22no—
152D5×C4⋊C4C2314yes—
153#4035—28no—
154#4035—28no—
155#4033—22no—
156#4033C2314yes—
157#4027—28no—
158#4023—28no—
159#4018D414yes—
160#4018C2314yes—
161#4016—22no—
162#4016C2314yes—
163C4×Dic10—22no—
164C4×Dic10C2314yes—
165C5×C4⋊C8C2314yes—
166C5×#103C2314yes—
167C5×#103C2314yes—
168#3967C2314yes—
169#3967C2314yes—
170#3964C2314yes—
171#3964C2314yes—
172#3952C2314yes—
173#3952C2314yes—
174#3950C2314yes—
175#3949C2314yes—
176#3948C2314yes—
177#3948C2314yes—
178#3947C2314yes—
179C8×Dic5C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182C4⋊#168C2314yes—
183C2×#541—51no—
184C2×#520—51no—
185#3120—516no—
186C2×#484—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#462—51no—
191C2×#461D511yescharacteristic, complemented
192C2×#452—51no—
193C2×#452—51no—
194C2×#441—51no—
195C2×#440—51no—
196C2×C4×Q16—51no—
197C2×C4×SD16—51no—
198C2×#433—51no—
199C24×C5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—21no—
203C2×C5×Q8—22no—
204C2×C5×Q8—22no—
205C2×C5×Q8—22no—
206C2×C5×Q8—22no—
207C2×C5×Q8C2412yes—
208C2×C5×Q8C2412yes—
209C2×C5×D4—21no—
210C2×C5×D4—22no—
211C2×C5×D4#4114yes—
212C2×C5×D4C2412yes—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5—21no—
216C22×C4×C5—24no—
217C22×C4×C5—82no—
218C22×C4×C5C2×D411yescharacteristic
219C22×C4×C5C2×D411yescharacteristic
220C22×C4×C5C2411yescharacteristic
221C2×C22⋊D5—28no—
222C2×C22⋊D5—24no—
223C22×Dic5—28no—
224C22×Dic5—21no—
225C22×Dic5—24no—
226C22×Dic5—21no—
227C22×Dic5—21no—
228C22×Dic5—21no—
229C22×Dic5—24no—
230C22×Dic5—82no—
231C22×Dic5C2×D411yescharacteristic
232C22×Dic5C2×D411yescharacteristic
233C22×Dic5C2×D411yescharacteristic
234#711—216no—
235#711—28no—
236#711—28no—
237C2×C4×D5—22no—
238C2×C4×D5—22no—
239C2×C4×D5—24no—
240C2×C4×D5—82no—
241C2×C4×D5C2×D412yes—
242C2×C4×D5C2412yes—
243C2×Dic10—21no—
244C2×Dic10—22no—
245C2×Dic10#4114yes—
246C2×Dic10C2412yes—
247C5×SD16—28no—
248C5×SD16—28no—
249C2×C5×C8—22no—
250C2×C5×C8—22no—
251C2×C5×C8C2412yes—
252C2×C5×C8C2412yes—
253C5×C4⋊C4—24no—
254C5×C4⋊C4—24no—
255C5×C4⋊C4—21no—
256C5×C4⋊C4C2412yes—
257C5×C22⋊C4—24no—
258C42×C5C2×D412yes—
259C42×C5C2412yes—
260C22⋊Dic5—24no—
261#689—28no—
262#689—28no—
263#685—24no—
264#685—24no—
265#685C2×D414yes—
266#685C2×D414yes—
267C4⋊Dic5—21no—
268C4⋊Dic5—21no—
269C4⋊Dic5—21no—
270C4⋊Dic5—24no—
271C4⋊Dic5—24no—
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—
282#683C2×D414yes—
283#683C2×D414yes—
284C4×Dic5—24no—
285C4×Dic5—24no—
286C4×Dic5—24no—
287C4×Dic5—24no—
288C4×Dic5C2×D412yes—
289C4×Dic5C2412yes—
290C2×#168—22no—
291C2×#168—22no—
292C2×#168C2412yes—
293C2×#168C2412yes—
294C22×#41—51no—
295C22×Q16—51no—
296C22×Q16—51no—
297C22×SD16C2×D511yescharacteristic
298C22×SD16C2×D511yescharacteristic
299#541—58no—
300#541—104no—
301C2×C4⋊Q8C2×D511yescharacteristic
302C2×#126—101no—
303C2×#126—101no—
304C2×#125—51no—
305C2×#125—101no—
306C2×#125—101no—
307C2×C22⋊Q8—51no—
308C2×C22⋊Q8—51no—
309#520—58no—
310#520—104no—
311C2×C4×Q8—51no—
312C2×C4×Q8—51no—
313C2×C4×Q8—51no—
314C2×C4×Q8—51no—
315C2×C4×D4—51no—
316C2×C4×D4—101no—
317C2×C4×D4—101no—
318C2×C4×D4C2×D511yescharacteristic
319C2×#117—51no—
320C2×#117—101no—
321C22×C4⋊C4—51no—
322C22×C4⋊C4—101no—
323#484—58no—
324#483—58no—
325#479—58no—
326#478—58no—
327#462—58no—
328#461C2×D518yescomplemented
329#452—58no—
330#452—58no—
331#441—58no—
332#440—58no—
333C4×Q16—58no—
334C4×SD16—58no—
335#433—58no—
336C2×#107—51no—
337C2×#107—51no—
338C2×#106—51no—
339C2×#106—51no—
340C2×C4⋊C8—51no—
341C2×C4⋊C8C2×D511yescharacteristic
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103—51no—
346C2×#103C2×D511yescharacteristic
347C2×#103C2×D511yescharacteristic
348C2×#102—51no—
349C2×#102—51no—
350C2×C22⋊C8—51no—
351C2×C22⋊C8—51no—
352C2×#97—51no—
353C2×C4×C8—51no—
354C23×C5—24no—
355C23×C5—22no—
356C23×C5—42no—
357C23×C5—42no—
358C23×C5C22×D411yescharacteristic
359C22×D5—22no—
360C22×D5—22no—
361C22×D5—22no—
362C22×D5C22×D412yes—
363C5×Q8—22no—
364C5×Q8—22no—
365C5×Q8—22no—
366C5×Q8—22no—
367C5×Q8—42no—
368C5×Q8—42no—
369C5×D4—24no—
370C5×D4—22no—
371C5×D4C2×#4114yes—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5—42no—
380C2×C4×C5—84no—
381C2×C4×C5C22×D412yes—
382C2×C4×C5C22×D412yes—
383C2×C4×C5C22×D411yescharacteristic
384C2×C4×C5C2×#4112yes—
385C2×C4×C5C2×#4112yes—
386C2×C4×C5C2511yescharacteristic
387C22⋊D5—216no—
388C2×Dic5—216no—
389C2×Dic5—24no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—22no—
395C2×Dic5—22no—
396C2×Dic5—22no—
397C2×Dic5—42no—
398C2×Dic5—42no—
399C2×Dic5—42no—
400C2×Dic5—84no—
401C2×Dic5C22×D412yes—
402C2×Dic5C22×D412yes—
403C2×Dic5C22×D412yes—
404C4×D5—24no—
405C4×D5—22no—
406C4×D5—22no—
407C4×D5—84no—
408Dic10—24no—
409Dic10—22no—
410Dic10C2×#4114yes—
411C5×C8—22no—
412C5×C8—22no—
413#168—22no—
414#168—22no—
415C2×#41—54no—
416C2×#41—102no—
417C2×#41—104no—
418C2×#41—104no—
419C22×Q8—51no—
420C22×Q8C22×D511yescharacteristic
421C22×Q8C22×D511yescharacteristic
422C22×D4—101no—
423C22×D4C22×D511yescharacteristic
424C23×C4—21no—
425C23×C4—51no—
426C23×C4—101no—
427C23×C4—101no—
428C23×C4—101no—
429C2×Q16—54no—
430C2×Q16—54no—
431C2×Q16—104no—
432C2×Q16—104no—
433C2×SD16—24no—
434C2×SD16—24no—
435C2×SD16C22×D514yes—
436C2×SD16C22×D514yes—
437C22×C8—51no—
438C22×C8—51no—
439C22×C8C22×D511yescharacteristic
440C22×C8C22×D511yescharacteristic
441C4⋊Q8—22no—
442C4⋊Q8C22×D514yes—
443#126—108no—
444#126—108no—
445#125—54no—
446#125—108no—
447#125—108no—
448#125—102no—
449C22⋊Q8—54no—
450C22⋊Q8—54no—
451C22⋊Q8—102no—
452C22⋊Q8—102no—
453C4×Q8—54no—
454C4×Q8—54no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8—102no—
458C4×Q8—102no—
459C4×Q8—102no—
460C4×Q8—102no—
461C4×D4—22no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—108no—
465C4×D4—108no—
466C4×D4C22×D514yes—
467#117—54no—
468#117—54no—
469#117—108no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—51no—
476C2×C4⋊C4—51no—
477C2×C4⋊C4—54no—
478C2×C4⋊C4—102no—
479C2×C4⋊C4—108no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4—101no—
484C2×C4⋊C4—101no—
485C2×C4⋊C4—101no—
486C2×C4⋊C4—101no—
487C2×C4⋊C4—101no—
488C2×C4⋊C4—101no—
489C2×C4⋊C4C22×D511yescharacteristic
490C2×C22⋊C4—21no—
491C2×C22⋊C4—51no—
492C2×C22⋊C4—51no—
493C2×C22⋊C4—101no—
494C2×C22⋊C4—101no—
495C2×C22⋊C4—101no—
496C2×C42—51no—
497C2×C42—101no—
498C2×C42—101no—
499C2×C42—101no—
500C2×C42—101no—
501C2×C42C22×D511yescharacteristic
502#107—54no—
503#107—54no—
504#106—54no—
505#106—54no—
506C4⋊C8—54no—
507C4⋊C8C22×D514yes—
508#103—54no—
509#103—54no—
510#103—54no—
511#103—54no—
512#103C22×D514yes—
513#103C22×D514yes—
514#102—54no—
515#102—54no—
516C22⋊C8—54no—
517C22⋊C8—54no—
518#97—54no—
519C4×C8—54no—
520C22×C5—24no—
521C22×C5—48no—
522C22×C5—42no—
523C22×C5—42no—
524C22×C5#52512yes—
525C22×C5#57712yes—
526C22×C5#57812yes—
527C22×C5C23×D411yescharacteristic
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—22no—
531C2×D5—44no—
532C4×C5—22no—
533C4×C5—22no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5—42no—
537C4×C5#52512yes—
538C4×C5C22×#4111yescharacteristic
539C4×C5C22×#4111yescharacteristic
540Dic5—24no—
541Dic5—22no—
542Dic5—22no—
543Dic5—22no—
544Dic5—42no—
545Dic5—42no—
546Dic5—42no—
547C24—21no—
548C24—51no—
549#41—108no—
550#41—1016no—
551#41—108no—
552C2×Q8—21no—
553C2×Q8—21no—
554C2×Q8—22no—
555C2×Q8—22no—
556C2×Q8—22no—
557C2×Q8—22no—
558C2×Q8—54no—
559C2×Q8—52no—
560C2×Q8—101no—
561C2×Q8—102no—
562C2×Q8C23×D512yes—
563C2×Q8C23×D512yes—
564C2×D4—21no—
565C2×D4—22no—
566C2×D4—104no—
567C2×D4—108no—
568C2×D4#71114yes—
569C2×D4C23×D512yes—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—24no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—51no—
577C22×C4—52no—
578C22×C4—52no—
579C22×C4—82no—
580C22×C4—104no—
581C22×C4—104no—
582C22×C4—104no—
583C22×C4—108no—
584C22×C4—101no—
585C22×C4—102no—
586C22×C4—102no—
587C22×C4—101no—
588C22×C4—101no—
589C22×C4—101no—
590C22×C4—402no—
591C22×C4—402no—
592C22×C4D4×D511yescharacteristic
593C22×C4D4×D511yescharacteristic
594C22×C4C23×D511yescharacteristic
595Q16—108no—
596Q16—108no—
597SD16—28no—
598SD16—28no—
599C2×C8—22no—
600C2×C8—22no—
601C2×C8—52no—
602C2×C8—52no—
603C2×C8—102no—
604C2×C8—102no—
605C2×C8C23×D512yes—
606C2×C8C23×D512yes—
607C4⋊C4—24no—
608C4⋊C4—24no—
609C4⋊C4—21no—
610C4⋊C4—54no—
611C4⋊C4—54no—
612C4⋊C4—52no—
613C4⋊C4—52no—
614C4⋊C4—52no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—104no—
619C4⋊C4—104no—
620C4⋊C4—104no—
621C4⋊C4—101no—
622C4⋊C4—101no—
623C4⋊C4—101no—
624C4⋊C4—104no—
625C4⋊C4—104no—
626C4⋊C4—104no—
627C4⋊C4C23×D512yes—
628C22⋊C4—24no—
629C22⋊C4—54no—
630C22⋊C4—54no—
631C22⋊C4—104no—
632C22⋊C4—104no—
633C22⋊C4—104no—
634C42—52no—
635C42—52no—
636C42—104no—
637C42—104no—
638C42—104no—
639C42—104no—
640C42D4×D512yes—
641C42C23×D512yes—
642C2×C5—44no—
643C2×C5#312014yescomplemented
644C2×C5C2×#52511yescharacteristic
645C2×C5C2×#57711yescharacteristic
646C2×C5C2×#57811yescharacteristic
647D5—42no—
648C23—24no—
649C23—22no—
650C23—42no—
651C23—42no—
652C23—52no—
653C23—102no—
654C23—102no—
655C23—102no—
656C23C2×D4×D511yescharacteristic
657Q8—22no—
658Q8—22no—
659Q8—22no—
660Q8—22no—
661Q8—42no—
662Q8—42no—
663Q8—54no—
664Q8—104no—
665Q8—102no—
666D4—24no—
667D4—22no—
668D4—1016no—
669D4C2×#71114yes—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—52no—
679C2×C4—52no—
680C2×C4—52no—
681C2×C4—84no—
682C2×C4—1016no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—102no—
686C2×C4—104no—
687C2×C4—102no—
688C2×C4—104no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—102no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4—404no—
698C2×C4—404no—
699C2×C4C2×D4×D512yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D511yescharacteristic
702C2×C4C2×#71112yes—
703C2×C4D5×#4112yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—102no—
708C8—102no—
709C5C2×#312011yescharacteristic, complemented, Sylow
710C22—24no—
711C22—48no—
712C22—42no—
713C22—42no—
714C22—102no—
715C22—102no—
716C22—102no—
717C22—204no—
718C22#6594012yes—
719C22#6609612yes—
720C22#6611312yes—
721C22C22×D4×D511yescharacteristic
722C4—22no—
723C4—22no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—102no—
728C4—102no—
729C4—102no—
730C4—104no—
731C4—202no—
732C4—202no—
733C4—202no—
734C4#6594012yes—
735C4C22×#71111yescharacteristic
736C4C2×D5×#4111yescharacteristic
737C2—44no—
738C2—202no—
739C2#1061214314yesdirect product factor
740C2C2×#6594011yescharacteristic
741C2C2×#6609611yescharacteristic
742C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#461C2
socleC23×C5C22×D4
prime radicalC22×#711C22
hypercenterC2×#461D5
hypocenterC5C2×#3120
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
1. C2×#66065C2semidirect
3. C2×C5×#461C2semidirect
6. C2×#65453C2semidirect
7. C2×SD16×Dic5C2semidirect
8. C2×#65379C2semidirect
9. C2×#65298C2semidirect
10. #10612143C2direct (N × H)
11. C2×#65118C2semidirect
12. C2×#65129C2semidirect
13. C2×#65098C2semidirect
14. C2×#65094C2semidirect
15. C2×#65078C2semidirect
16. C2×#65079C2semidirect
32. #66065C22semidirect
46. C5×#461C22semidirect
56. #65453C22semidirect
57. SD16×Dic5C22semidirect
66. #65379C22semidirect
67. #65298C22semidirect
71. #65129C22semidirect
72. #65118C22semidirect
73. #65098C22semidirect
74. #65094C22semidirect
75. #65079C22semidirect
76. #65078C22semidirect
191. C2×#461D5semidirect
328. #461C2×D5semidirect
643. C2×C5#3120semidirect
709. C5C2×#3120semidirect
739. C2#10612143direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660652
C2×#658802
C2×C5×#4612
C2×#654622
C2×#654532
C2×SD16×Dic52
C2×#653792
C2×#652982
#106121432
C2×#651182
C2×#651292
C2×#650982
C2×#650942
C2×#650782
C2×#650792
C2×#31205