Finite Group Databasebeta

← C2×#10611201 #12977849

Subgroups — C2×#10611201 #12977849

Order 1280.

1878 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65877C211yesmaximal, characteristic
2C2×#65875C211yesmaximal, characteristic
3C2×C5×#435C211yesmaximal, characteristic
4C2×#65426C211yesmaximal, characteristic, complemented
5C2×#65410C211yesmaximal, characteristic, complemented
6C2×#65405C211yesmaximal, characteristic, complemented
7C22×#3949C211yesmaximal, characteristic, complemented
8#10611201C2116yesmaximal, direct product factor
9C2×#65118C211yesmaximal, characteristic, complemented
10C2×#65140C211yesmaximal, characteristic, complemented
11C2×#65011C211yesmaximal, characteristic, complemented
12C2×#65012C211yesmaximal, characteristic, complemented
13C2×#65010C211yesmaximal, characteristic, complemented
14C2×#65010C211yesmaximal, characteristic, complemented
15C2×#65005C211yesmaximal, characteristic, complemented
16C2×#64991C211yesmaximal, characteristic, complemented
17C22×C5×M16C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4081—21no—
21C2×D4×Dic5—21no—
22C2×#4072C2211yescharacteristic
23C22×C4⋊Dic5C2211yescharacteristic
24C22×C4⋊Dic5C2211yescharacteristic
25C22×C4⋊Dic5C2211yescharacteristic
26C2×#4070C2211yescharacteristic
27C2×#4070C2211yescharacteristic
28C2×#4070C2211yescharacteristic
29C2×#4070C2211yescharacteristic
30C22×Dic20C2211yescharacteristic
31#65877—24no—
32#65877C2218yes—
33#65875—24no—
34#65875C2218yes—
35C2×#4036—21no—
36C2×#4035—21no—
37C2×#4025—21no—
38C2×#4024—21no—
39C2×#4024—21no—
40C2×#4023—21no—
41C2×#4016C2211yescharacteristic
42C2×#4015C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#435C2218yes—
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×C22⋊C8C2211yescharacteristic
48C2×C5×C22⋊C8C2211yescharacteristic
49C2×C5×#97C2211yescharacteristic
50#65426C2218yescomplemented
51#65410C2218yescomplemented
52#65405C2218yescomplemented
53C2×#3950C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3949C2211yescharacteristic
57C2×#3949C2211yescharacteristic
58C2×#3949C2211yescharacteristic
59C2×#3949C2211yescharacteristic
60C2×#3949C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2218yescomplemented
63C2×#3948C2211yescharacteristic
64C2×#3948C2211yescharacteristic
65C2×#3948C2211yescharacteristic
66C2×#3948C2211yescharacteristic
67C2×#3948C2211yescharacteristic
68C2×#3948C2211yescharacteristic
69#65140C2218yescomplemented
70#65118C2218yescomplemented
71#65012C2218yescomplemented
72#65011C2218yescomplemented
73#65010C2218yescomplemented
74#65010C2218yescomplemented
75#65005C2218yescomplemented
76#64991C2218yescomplemented
77C2×#3344—51nomaximal, Sylow
78C22×C5×D4D411yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C23×Dic5—21no—
82C23×Dic5—21no—
83C23×Dic5—21no—
84C22×Dic10—21no—
85C22×Dic10C2311yescharacteristic
86C22×Dic10C2311yescharacteristic
87C2×C5×M16—24no—
88C2×C5×M16C2314yes—
89C22×C5×C8—24no—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2314yes—
94C22×C5×C8C2311yescharacteristic
95C4×C5×D4D414yes—
96C4×C5×D4C2314yes—
97C2×C5×C4⋊C4D411yescharacteristic
98C2×C5×C22⋊C4D411yescharacteristic
99C2×C5×C22⋊C4D411yescharacteristic
100C2×C42×C5C2311yescharacteristic
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106#4081—28no—
107D4×Dic5—28no—
108#4072—22no—
109#4072C2314yes—
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5—22no—
115C2×C4⋊Dic5—22no—
116C2×C4⋊Dic5—22no—
117C2×C4⋊Dic5C2311yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2314yes—
124C2×C4⋊Dic5C2314yes—
125C2×C4⋊Dic5C2314yes—
126#4070—22no—
127#4070—22no—
128#4070—22no—
129#4070—22no—
130#4070C2314yes—
131#4070C2314yes—
132#4070C2314yes—
133#4070C2314yes—
134C2×#683—21no—
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×Dic20—24no—
146C2×Dic20C2314yes—
147#4036—28no—
148#4035—28no—
149#4025—28no—
150#4024—28no—
151#4024—28no—
152#4023—28no—
153#4016—22no—
154#4016C2314yes—
155#4015—22no—
156#4015C2314yes—
157C4×Dic10—22no—
158C4×Dic10—22no—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×C4⋊C8C2314yes—
162C5×C22⋊C8C2314yes—
163C5×C22⋊C8C2314yes—
164C5×#97C2314yes—
165#3950C2314yes—
166#3950C2314yes—
167#3950C2314yes—
168#3949C2314yes—
169#3949C2314yes—
170#3949C2314yes—
171#3949C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3948C2314yes—
177#3948C2314yes—
178#3948C2314yes—
179#3948C2314yes—
180C2×#554—51no—
181C2×#552—51no—
182#3344—516no—
183C2×#501—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#483—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#475—51no—
190C2×#470—51no—
191C2×#467—51no—
192C2×#441—51no—
193C2×#435D511yescharacteristic
194C2×#428—51no—
195C22×#106—51no—
196C24×C5C2×D411yescharacteristic
197C24×C5C2×D411yescharacteristic
198C2×C5×D4—24no—
199C2×C5×D4C2×D414yes—
200C22×C4×C5—22no—
201C22×C4×C5—22no—
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D412yes—
209C22×C4×C5C2×D412yes—
210C22×C4×C5C2412yes—
211C22×C4×C5C2412yes—
212C22×C4×C5C2411yescharacteristic
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—24no—
223C22×Dic5—24no—
224C22×Dic5—44no—
225C22×Dic5—82no—
226C22×Dic5—82no—
227C2×Dic10—22no—
228C2×Dic10—22no—
229C2×Dic10—22no—
230C2×Dic10—22no—
231C2×Dic10—21no—
232C2×Dic10—21no—
233C2×Dic10—24no—
234C2×Dic10—82no—
235C2×Dic10C2412yes—
236C2×Dic10C2412yes—
237C5×M16—28no—
238C2×C5×C8—22no—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8—28no—
242C2×C5×C8#4114yes—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C2×C5×C8C2412yes—
246C2×C5×C8C2412yes—
247C5×C4⋊C4C2×D414yes—
248C5×C22⋊C4C2×D414yes—
249C5×C22⋊C4C2×D414yes—
250C42×C5C2×D412yes—
251C42×C5C2412yes—
252C22⋊Dic5—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C4×Dic5—24no—
284Dic20—28no—
285C22×Q16—51no—
286C22×M16C2×D511yescharacteristic
287C23×C8C2×D511yescharacteristic
288#554—58no—
289#554—104no—
290#552—58no—
291#552—104no—
292C2×C4⋊Q8—51no—
293C2×#126—101no—
294C2×#125—51no—
295C2×#125—101no—
296C2×#125—101no—
297C2×#123—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×C22⋊Q8—101no—
303C2×C22⋊Q8—101no—
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×D4—101no—
307C2×C4×D4C2×D511yescharacteristic
308C2×#117—51no—
309C2×#117—101no—
310C22×C4⋊C4—51no—
311C22×C4⋊C4—51no—
312C22×C4⋊C4—51no—
313#501—58no—
314#485—58no—
315#484—58no—
316#483—58no—
317#483—58no—
318#479—58no—
319#475—58no—
320#470—58no—
321#467—58no—
322#441—58no—
323#435C2×D518yes—
324#428—58no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—58no—
333C2×#106—51no—
334C2×#106—51no—
335C2×C4⋊C8C2×D511yescharacteristic
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×C22⋊C8C2×D511yescharacteristic
343C2×C22⋊C8C2×D511yescharacteristic
344C2×#97C2×D511yescharacteristic
345C23×C5—22no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5—22no—
350C23×C5#13714yes—
351C23×C5C22×D412yes—
352C23×C5C22×D412yes—
353C23×C5C22×D411yescharacteristic
354C5×D4—28no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—24no—
360C2×C4×C5—24no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D411yescharacteristic
370C2×C4×C5C2×#4112yes—
371C2×C4×C52−1+412yes—
372C2×C4×C5C2511yescharacteristic
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—42no—
382C2×Dic5—42no—
383C2×Dic5—48no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5—42no—
390C2×Dic5—84no—
391C2×Dic5—84no—
392Dic10—22no—
393Dic10—22no—
394Dic10—22no—
395Dic10—22no—
396Dic10—42no—
397Dic10—42no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8—22no—
401C5×C8—22no—
402C5×C8C2×#4114yes—
403C22×Q8—51no—
404C22×Q8—51no—
405C22×Q8—101no—
406C22×D4D2011yescharacteristic
407C23×C4—101no—
408C23×C4—101no—
409C23×C4—101no—
410C23×C4C22×D511yescharacteristic
411C23×C4C22×D511yescharacteristic
412C2×Q16—54no—
413C2×Q16—104no—
414C2×M16—24no—
415C2×M16C22×D514yes—
416C22×C8—24no—
417C22×C8C22×D511yescharacteristic
418C22×C8C22×D514yes—
419C22×C8C22×D511yescharacteristic
420C22×C8C22×D511yescharacteristic
421C22×C8C22×D511yescharacteristic
422C4⋊Q8—54no—
423C4⋊Q8—102no—
424#126—108no—
425#125—54no—
426#125—108no—
427#125—108no—
428#125—102no—
429#123—108no—
430C22⋊Q8—54no—
431C22⋊Q8—54no—
432C22⋊Q8—54no—
433C22⋊Q8—54no—
434C22⋊Q8—102no—
435C22⋊Q8—102no—
436C22⋊Q8—102no—
437C22⋊Q8—102no—
438C22⋊Q8—108no—
439C22⋊Q8—108no—
440C4×Q8—54no—
441C4×Q8—54no—
442C4×Q8—102no—
443C4×Q8—102no—
444C4×D4—108no—
445C4×D4D2014yes—
446C4×D4C22×D514yes—
447#117—54no—
448#117—102no—
449#117—108no—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—54no—
456C2×C4⋊C4—54no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—102no—
463C2×C4⋊C4—102no—
464C2×C4⋊C4—102no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4D2011yescharacteristic
475C2×C22⋊C4—101no—
476C2×C22⋊C4—101no—
477C2×C22⋊C4—101no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4D2011yescharacteristic
481C2×C22⋊C4D2011yescharacteristic
482C2×C42—101no—
483C2×C42—101no—
484C2×C42—101no—
485C2×C42C22×D511yescharacteristic
486#107—54no—
487#107—54no—
488#107—54no—
489#106—54no—
490#106—54no—
491#106—54no—
492#106—54no—
493#106—54no—
494#106—54no—
495C4⋊C8C22×D514yes—
496#103—54no—
497#103—54no—
498#103—54no—
499#103—54no—
500#103—54no—
501#103—54no—
502C22⋊C8C22×D514yes—
503C22⋊C8C22×D514yes—
504#97C22×D514yes—
505C22×C5—28no—
506C22×C5—22no—
507C22×C5—22no—
508C22×C5—22no—
509C22×C5—22no—
510C22×C5—22no—
511C22×C5—44no—
512C22×C5#54712yes—
513C22×C5C2×#13714yes—
514C22×C5C2×#13712yes—
515C22×C5#57712yes—
516C22×C5C23×D411yescharacteristic
517C4×C5—22no—
518C4×C5—22no—
519C4×C5—22no—
520C4×C5—22no—
521C4×C5#54712yes—
522C4×C5C22×#4111yescharacteristic
523C4×C5C2×2−1+411yescharacteristic
524Dic5—42no—
525Dic5—42no—
526Dic5—42no—
527Dic5—42no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531Dic5—42no—
532C24C2×D2011yescharacteristic
533C24C2×D2011yescharacteristic
534C2×Q8—52no—
535C2×Q8—52no—
536C2×Q8—101no—
537C2×Q8—101no—
538C2×Q8—104no—
539C2×Q8—102no—
540C2×Q8—102no—
541C2×Q8—102no—
542C2×Q8—102no—
543C2×Q8—402no—
544C2×D4—24no—
545C2×D4C2×D2014yes—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—104no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—101no—
554C22×C4—101no—
555C22×C4—101no—
556C22×C4—101no—
557C22×C4—101no—
558C22×C4—101no—
559C22×C4—104no—
560C22×C4—104no—
561C22×C4—204no—
562C22×C4—402no—
563C22×C4—402no—
564C22×C4C2×D2012yes—
565C22×C4C2×D2012yes—
566C22×C4C2×D2011yescharacteristic
567C22×C4C2×D2011yescharacteristic
568C22×C4C2×D2011yescharacteristic
569C22×C4C2×D2011yescharacteristic
570C22×C4C23×D512yes—
571C22×C4C23×D512yes—
572C22×C4C23×D511yescharacteristic
573Q16—108no—
574M16—28no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—28no—
579C2×C8#71114yes—
580C2×C8C23×D512yes—
581C2×C8C23×D512yes—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—52no—
585C4⋊C4—52no—
586C4⋊C4—52no—
587C4⋊C4—52no—
588C4⋊C4—52no—
589C4⋊C4—52no—
590C4⋊C4—101no—
591C4⋊C4—101no—
592C4⋊C4—104no—
593C4⋊C4—104no—
594C4⋊C4—101no—
595C4⋊C4—101no—
596C4⋊C4—101no—
597C4⋊C4—104no—
598C4⋊C4—101no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4C2×D2014yes—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C22⋊C4C2×D2014yes—
615C22⋊C4C2×D2014yes—
616C42—104no—
617C42—104no—
618C42—104no—
619C42C2×D2012yes—
620C42C23×D512yes—
621C2×C5—24no—
622C2×C5—42no—
623C2×C5#334414yescomplemented
624C2×C5C2×#54711yescharacteristic
625C2×C5C22×#13711yescharacteristic
626C2×C5C2×#57711yescharacteristic
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23#405514yes—
633C23C22×D2012yes—
634C23C22×D2012yes—
635C23C22×D2011yescharacteristic
636Q8—102no—
637Q8—102no—
638Q8—102no—
639Q8—102no—
640Q8—202no—
641Q8—202no—
642Q8—404no—
643D4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—102no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—208no—
663C2×C4—202no—
664C2×C4—202no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4—202no—
668C2×C4—202no—
669C2×C4—202no—
670C2×C4—202no—
671C2×C4—404no—
672C2×C4—404no—
673C2×C4C22×D2012yes—
674C2×C4C22×D2012yes—
675C2×C4C22×D2012yes—
676C2×C4C22×D2012yes—
677C2×C4C22×D2011yescharacteristic
678C2×C4C2×#71112yes—
679C2×C4#415012yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—22no—
683C8—22no—
684C8C2×#71114yes—
685C5C2×#334411yescharacteristic, complemented, Sylow
686C22—28no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—44no—
693C22#6588912yes—
694C22C2×#405514yes—
695C22C2×#405512yes—
696C22#6608512yes—
697C22C23×D2011yescharacteristic
698C4—22no—
699C4—22no—
700C4—22no—
701C4—22no—
702C4—202no—
703C4—202no—
704C4—202no—
705C4—202no—
706C4—202no—
707C4—202no—
708C4—202no—
709C4—202no—
710C4#6588912yes—
711C4C22×#71111yescharacteristic
712C4C2×#415011yescharacteristic
713C2—24no—
714C2—42no—
715C2#1061120114yesdirect product factor
716C2C2×#6588911yescharacteristic
717C2C22×#405511yescharacteristic
718C2C2×#6608511yescharacteristic
subgroupG/H
centerC23C22×D20
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#435C2
socleC23×C5C22×D4
prime radicalC22×C5×D4D4
hypercenterC2×#435D5
hypocenterC5C2×#3344
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
4. C2×#65426C2semidirect
5. C2×#65410C2semidirect
6. C2×#65405C2semidirect
7. C22×#3949C2semidirect
8. #10611201C2direct (N × H)
9. C2×#65118C2semidirect
10. C2×#65140C2semidirect
11. C2×#65011C2semidirect
12. C2×#65012C2semidirect
13. C2×#65010C2semidirect
14. C2×#65010C2semidirect
15. C2×#65005C2semidirect
16. C2×#64991C2semidirect
50. #65426C22semidirect
51. #65410C22semidirect
52. #65405C22semidirect
62. C2×#3949C22semidirect
69. #65140C22semidirect
70. #65118C22semidirect
71. #65012C22semidirect
72. #65011C22semidirect
73. #65010C22semidirect
74. #65010C22semidirect
75. #65005C22semidirect
76. #64991C22semidirect
623. C2×C5#3344semidirect
685. C5C2×#3344semidirect
715. C2#10611201direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658772
C2×#658752
C2×C5×#4352
C2×#654262
C2×#654102
C2×#654052
C22×#39492
#106112012
C2×#651182
C2×#651402
C2×#650112
C2×#650122
C2×#650102
C2×#650052
C2×#649912
C2×#33445