Finite Group Databasebeta

← C2×#10611455 #12967653

Subgroups — C2×#10611455 #12967653

Order 1280.

1994 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×#65917C211yesmaximal, characteristic
2C2×#65906C211yesmaximal, characteristic
3C2×C4×C5×Q16C211yesmaximal, characteristic, complemented
4C2×#65475C211yesmaximal, characteristic
5C2×#65471C211yesmaximal, characteristic, complemented
6C2×#65319C211yesmaximal, characteristic, complemented
7C2×#65319C211yesmaximal, characteristic, complemented
8#10611455C2116yesmaximal, direct product factor
9C2×#65166C211yesmaximal, characteristic, complemented
10C2×#65177C211yesmaximal, characteristic
11C2×#65082C211yesmaximal, characteristic, complemented
12C2×#65097C211yesmaximal, characteristic
13C2×#65103C211yesmaximal, characteristic
14C2×#65085C211yesmaximal, characteristic, complemented
15C2×C4×Dic20C211yesmaximal, characteristic, complemented
16C2×#64979C211yesmaximal, characteristic
17C22×Q8×D5C2211yescharacteristic
18C22×C5×Q16C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×#4090C2211yescharacteristic
24C22×#689C2211yescharacteristic
25C22×#689C2211yescharacteristic
26C22×Dic20C2211yescharacteristic
27#65917—24no—
28#65917C2218yes—
29#65906—24no—
30#65906C2218yes—
31C2×#4044—21no—
32C2×#4043C2211yescharacteristic
33C2×#4038—21no—
34C2×#4038C2211yescharacteristic
35C2×#4036C2211yescharacteristic
36C2×#4035—21no—
37C2×#4033—21no—
38C2×#4033C2211yescharacteristic
39C2×#4022—21no—
40C2×#4018—21no—
41C2×#4018C2211yescharacteristic
42C2×#4016—21no—
43C2×C4×Dic10—21no—
44C2×C4×Dic10C2211yescharacteristic
45C2×C4×Dic10C2211yescharacteristic
46C4×C5×Q16C2218yescomplemented
47C2×C5×#107C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C4×C5×C8C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53#65475C2218yes—
54#65471C2218yescomplemented
55C2×#3952C2211yescharacteristic
56C2×#3952C2211yescharacteristic
57C2×#3950C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×#3946C2211yescharacteristic
62#65319C2218yescomplemented
63#65319C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3940C2211yescharacteristic
68C2×#3935C2211yescharacteristic
69#65177C2218yes—
70#65166C2218yescomplemented
71#65103C2218yes—
72#65097C2218yes—
73#65085C2218yescomplemented
74#65082C2218yescomplemented
75C4×Dic20C2218yescomplemented
76#64979C2218yes—
77C2×#3127—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C2×Q8×D5—24no—
81C2×Q8×D5—22no—
82C2×Q8×D5—24no—
83C2×Q8×D5C2314yes—
84C22×C4×D5—21no—
85C22×C4×D5C2311yescharacteristic
86C22×Dic10—21no—
87C22×Dic10C2311yescharacteristic
88C22×Dic10C2311yescharacteristic
89C2×C5×Q16—24no—
90C2×C5×Q16C2314yes—
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C4×C5×Q8—22no—
94C4×C5×Q8—22no—
95C4×C5×Q8C2314yes—
96C4×C5×Q8C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C42×C5—21no—
102C2×C42×C5—21no—
103C2×C42×C5C2311yescharacteristic
104#4092—22no—
105#4092C2314yes—
106Q8×Dic5—22no—
107Q8×Dic5C2314yes—
108#4090—22no—
109#4090C2314yes—
110C2×#689—24no—
111C2×#689—24no—
112C2×#689C2314yes—
113C2×#689C2314yes—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685D411yescharacteristic
118C2×#685D411yescharacteristic
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683D411yescharacteristic
132C2×#683D411yescharacteristic
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×Dic20—24no—
142C2×Dic20C2314yes—
143#4044—28no—
144#4043—22no—
145#4043C2314yes—
146#4038—22no—
147#4038—28no—
148#4038C2314yes—
149#4036—22no—
150#4036C2314yes—
151#4035—28no—
152#4033—28no—
153#4033—22no—
154#4033C2314yes—
155#4022—28no—
156#4018—28no—
157#4018D414yes—
158#4018C2314yes—
159#4016—28no—
160C4×Dic10—22no—
161C4×Dic10—22no—
162C4×Dic10—28no—
163C4×Dic10C2314yes—
164C4×Dic10C2314yes—
165C5×#107C2314yes—
166C5×#103C2314yes—
167C5×#103C2314yes—
168C4×C5×C8C2314yes—
169#3967C2314yes—
170#3967C2314yes—
171#3952C2314yes—
172#3952C2314yes—
173#3950C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3946C2314yes—
177#3946C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3940C2314yes—
181#3940C2314yes—
182#3935C2314yes—
183C2×#541—51no—
184C2×#519—51no—
185#3127—516no—
186C2×#485—51no—
187C2×#485—51no—
188C2×#479—51no—
189C2×#479—51no—
190C2×#462—51no—
191C2×#462—51no—
192C2×#451—51no—
193C2×#451—51no—
194C2×#441—51no—
195C2×#441—51no—
196C2×C4×Q16—51no—
197C2×C4×Q16D511yescharacteristic, complemented
198C2×#433—51no—
199C23×D5C2×D411yescharacteristic
200C2×C5×Q8—21no—
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8—22no—
205C2×C5×Q8#4114yes—
206C2×C5×Q8C2412yes—
207C2×C5×Q8C2412yes—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2411yescharacteristic
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5C2×D411yescharacteristic
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222Q8×D5—216no—
223Q8×D5—28no—
224Q8×D5—28no—
225C2×C4×D5—28no—
226C2×C4×D5—24no—
227C2×C4×D5—22no—
228C2×C4×D5—22no—
229C2×C4×D5C2×D412yes—
230C2×C4×D5C2412yes—
231C2×Dic10—28no—
232C2×Dic10—21no—
233C2×Dic10—22no—
234C2×Dic10—24no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—21no—
238C2×Dic10#4114yes—
239C2×Dic10C2412yes—
240C2×Dic10C2412yes—
241C5×Q16—28no—
242C2×C5×C8—22no—
243C2×C5×C8—22no—
244C2×C5×C8C2412yes—
245C2×C5×C8C2412yes—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C42×C5—24no—
253C42×C5—24no—
254C42×C5C2×D412yes—
255C42×C5C2412yes—
256#689—28no—
257#689—28no—
258#685—24no—
259#685—24no—
260#685—24no—
261#685C2×D414yes—
262#685C2×D414yes—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683C2×D414yes—
278#683C2×D414yes—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C4×Dic5—24no—
284C4×Dic5C2×D412yes—
285C4×Dic5C2412yes—
286C2×#168—22no—
287C2×#168—22no—
288C2×#168C2412yes—
289C2×#168C2412yes—
290Dic20—28no—
291C23×Q8—51no—
292C22×Q16—51no—
293C22×Q16—51no—
294C22×Q16—51no—
295C22×Q16C2×D511yescharacteristic
296#541—58no—
297#541—104no—
298C2×C4⋊Q8—51no—
299C2×#126—101no—
300C2×#126—101no—
301C2×#125—51no—
302C2×#125—101no—
303C2×#125—101no—
304C2×C22⋊Q8—51no—
305C2×C22⋊Q8—51no—
306#519—58no—
307#519—104no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8—101no—
313C2×C4×Q8—101no—
314C2×C4×Q8C2×D511yescharacteristic
315C2×C4×Q8C2×D511yescharacteristic
316C2×#117—51no—
317C2×#117—51no—
318C2×#117—101no—
319C2×#117—101no—
320#485—58no—
321#485—58no—
322#479—58no—
323#479—58no—
324#462—58no—
325#462—58no—
326#451—58no—
327#451—58no—
328#441—58no—
329#441—58no—
330C4×Q16—58no—
331C4×Q16C2×D518yescomplemented
332#433—58no—
333C2×#107—51no—
334C2×#107C2×D511yescharacteristic
335C2×#106—51no—
336C2×#106—51no—
337C2×C4⋊C8—51no—
338C2×C4⋊C8—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103C2×D511yescharacteristic
346C2×#103C2×D511yescharacteristic
347C2×C22⋊C8—51no—
348C2×C22⋊C8—51no—
349C2×#97—51no—
350C2×C4×C8C2×D511yescharacteristic
351C23×C5C22×D411yescharacteristic
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5C22×D412yes—
356C5×Q8—24no—
357C5×Q8—22no—
358C5×Q8—22no—
359C5×Q8—22no—
360C5×Q8—42no—
361C5×Q8C2×#4114yes—
362C2×C4×C5—24no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D411yescharacteristic
375C2×C4×C5C2×#4112yes—
376C2×C4×C5C2×#4112yes—
377C2×C4×C5C2511yescharacteristic
378C2×Dic5—22no—
379C2×Dic5—24no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392C4×D5—216no—
393C4×D5—24no—
394C4×D5—22no—
395C4×D5—22no—
396Dic10—216no—
397Dic10—24no—
398Dic10—22no—
399Dic10—22no—
400Dic10—22no—
401Dic10—42no—
402Dic10C2×#4114yes—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168—22no—
407C22×Q8—54no—
408C22×Q8—51no—
409C22×Q8—51no—
410C22×Q8—101no—
411C22×Q8—102no—
412C22×Q8—104no—
413C22×Q8—104no—
414C22×Q8C22×D511yescharacteristic
415C22×Q8C22×D511yescharacteristic
416C23×C4—51no—
417C23×C4—101no—
418C2×Q16—24no—
419C2×Q16—54no—
420C2×Q16—54no—
421C2×Q16—54no—
422C2×Q16—104no—
423C2×Q16—104no—
424C2×Q16—104no—
425C2×Q16C22×D514yes—
426C22×C8—51no—
427C22×C8—51no—
428C22×C8C22×D511yescharacteristic
429C22×C8C22×D511yescharacteristic
430C4⋊Q8—54no—
431C4⋊Q8—102no—
432#126—108no—
433#126—108no—
434#125—54no—
435#125—108no—
436#125—102no—
437#125—108no—
438C22⋊Q8—54no—
439C22⋊Q8—54no—
440C22⋊Q8—102no—
441C22⋊Q8—102no—
442C4×Q8—22no—
443C4×Q8—22no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—54no—
448C4×Q8—108no—
449C4×Q8—102no—
450C4×Q8—102no—
451C4×Q8—108no—
452C4×Q8—102no—
453C4×Q8—102no—
454C4×Q8C22×D514yes—
455C4×Q8C22×D514yes—
456#117—54no—
457#117—54no—
458#117—54no—
459#117—108no—
460#117—108no—
461#117—102no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—51no—
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⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4C22×D511yescharacteristic
479C2×C4⋊C4C22×D511yescharacteristic
480C2×C22⋊C4—51no—
481C2×C22⋊C4—51no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C42—21no—
486C2×C42—21no—
487C2×C42—51no—
488C2×C42—101no—
489C2×C42—101no—
490C2×C42—101no—
491C2×C42—101no—
492C2×C42—101no—
493C2×C42C22×D511yescharacteristic
494#107—54no—
495#107C22×D514yes—
496#106—54no—
497#106—54no—
498C4⋊C8—54no—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#103C22×D514yes—
507#103C22×D514yes—
508C22⋊C8—54no—
509C22⋊C8—54no—
510#97—54no—
511C4×C8C22×D514yes—
512C22×C5#52512yes—
513C22×C5#57812yes—
514C22×C5#57812yes—
515C22×C5C23×D411yescharacteristic
516C2×D5—22no—
517C2×D5—22no—
518C2×D5—22no—
519C2×D5—44no—
520C4×C5—24no—
521C4×C5—22no—
522C4×C5—22no—
523C4×C5—42no—
524C4×C5—42no—
525C4×C5—42no—
526C4×C5#52512yes—
527C4×C5C22×#4111yescharacteristic
528C4×C5C22×#4111yescharacteristic
529Dic5—22no—
530Dic5—24no—
531Dic5—22no—
532Dic5—22no—
533Dic5—42no—
534Dic5—42no—
535Dic5—42no—
536C24—51no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—22no—
540C2×Q8—22no—
541C2×Q8—22no—
542C2×Q8—54no—
543C2×Q8—52no—
544C2×Q8—52no—
545C2×Q8—104no—
546C2×Q8—108no—
547C2×Q8—108no—
548C2×Q8—1016no—
549C2×Q8—108no—
550C2×Q8—102no—
551C2×Q8—101no—
552C2×Q8—101no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8#70914yes—
556C2×Q8C23×D512yes—
557C2×Q8C23×D512yes—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—51no—
563C22×C4—51no—
564C22×C4—51no—
565C22×C4—52no—
566C22×C4—52no—
567C22×C4—104no—
568C22×C4—108no—
569C22×C4—101no—
570C22×C4—102no—
571C22×C4—102no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4D4×D511yescharacteristic
576C22×C4D4×D511yescharacteristic
577C22×C4C23×D511yescharacteristic
578Q16—28no—
579Q16—108no—
580Q16—108no—
581Q16—108no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—52no—
585C2×C8—52no—
586C2×C8—102no—
587C2×C8—102no—
588C2×C8C23×D512yes—
589C2×C8C23×D512yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—54no—
595C4⋊C4—54no—
596C4⋊C4—52no—
597C4⋊C4—52no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4C23×D512yes—
611C4⋊C4C23×D512yes—
612C22⋊C4—54no—
613C22⋊C4—54no—
614C22⋊C4—104no—
615C22⋊C4—104no—
616C22⋊C4—104no—
617C42—24no—
618C42—24no—
619C42—52no—
620C42—52no—
621C42—104no—
622C42—104no—
623C42—104no—
624C42—104no—
625C42—104no—
626C42D4×D512yes—
627C42C23×D512yes—
628C2×C5#312714yescomplemented
629C2×C5C2×#52511yescharacteristic
630C2×C5C2×#57811yescharacteristic
631C2×C5C2×#57811yescharacteristic
632D5—42no—
633C23—52no—
634C23—102no—
635C23—102no—
636C23—102no—
637C23C2×D4×D511yescharacteristic
638Q8—24no—
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—42no—
643Q8—54no—
644Q8—1016no—
645Q8—104no—
646Q8—102no—
647Q8—102no—
648Q8—102no—
649Q8—202no—
650Q8C2×#70914yes—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—52no—
662C2×C4—52no—
663C2×C4—52no—
664C2×C4—1016no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—104no—
669C2×C4—102no—
670C2×C4—104no—
671C2×C4—102no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—202no—
677C2×C4—202no—
678C2×C4—202no—
679C2×C4C2×#70912yes—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D512yes—
682C2×C4C2×D4×D511yescharacteristic
683C2×C4D5×#4112yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#312711yescharacteristic, complemented, Sylow
690C22—102no—
691C22—102no—
692C22—102no—
693C22—204no—
694C22#6588112yes—
695C22#6610012yes—
696C22#6610512yes—
697C22C22×D4×D511yescharacteristic
698C4—24no—
699C4—22no—
700C4—22no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—102no—
705C4—104no—
706C4—102no—
707C4—102no—
708C4—202no—
709C4—202no—
710C4—202no—
711C4#6588112yes—
712C4C22×#70911yescharacteristic
713C4C2×D5×#4111yescharacteristic
714C2—202no—
715C2#1061145514yesdirect product factor
716C2C2×#6588111yescharacteristic
717C2C2×#6610011yescharacteristic
718C2C2×#6610511yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C4×C5×Q16C2
socleC23×C5C22×D4
prime radicalC23×D5C2×D4
hypercenterC2×C4×Q16D5
hypocenterC5C2×#3127
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×Q16

Complements

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

NH ≅ G/Ntype
3. C2×C4×C5×Q16C2semidirect
5. C2×#65471C2semidirect
6. C2×#65319C2semidirect
7. C2×#65319C2semidirect
8. #10611455C2direct (N × H)
9. C2×#65166C2semidirect
11. C2×#65082C2semidirect
14. C2×#65085C2semidirect
15. C2×C4×Dic20C2semidirect
46. C4×C5×Q16C22semidirect
54. #65471C22semidirect
62. #65319C22semidirect
63. #65319C22semidirect
70. #65166C22semidirect
73. #65085C22semidirect
74. #65082C22semidirect
75. C4×Dic20C22semidirect
197. C2×C4×Q16D5semidirect
331. C4×Q16C2×D5semidirect
628. C2×C5#3127semidirect
689. C5C2×#3127semidirect
715. C2#10611455direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659172
C2×#659062
C2×C4×C5×Q162
C2×#654752
C2×#654712
C2×#653192
#106114552
C2×#651662
C2×#651772
C2×#650822
C2×#650972
C2×#651032
C2×#650852
C2×C4×Dic202
C2×#649792
C2×#31275