Finite Group Databasebeta

← C2×#10612948 #12979052

Subgroups — C2×#10612948 #12979052

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66024C211yesmaximal, characteristic, complemented
2C2×#65919C211yesmaximal, characteristic, complemented
3C2×C5×#479C211yesmaximal, characteristic, complemented
4C2×#65356C211yesmaximal, characteristic, complemented
5C2×#65315C211yesmaximal, characteristic, complemented
6#10612948C2116yesmaximal, direct product factor
7C2×#65179C211yesmaximal, characteristic, complemented
8C2×#65161C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10C2×#65158C211yesmaximal, characteristic, complemented
11C2×#65132C211yesmaximal, characteristic
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65108C211yesmaximal, characteristic, complemented
14C2×#65108C211yesmaximal, characteristic, complemented
15C2×#65084C211yesmaximal, characteristic, complemented
16C2×#65089C211yesmaximal, characteristic, complemented
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×#4093C2211yescharacteristic
20C2×#4093C2211yescharacteristic
21C22×#688C2211yescharacteristic
22C22×D40C2211yescharacteristic
23C22×D40C2211yescharacteristic
24#66024—24no—
25#66024C2218yescomplemented
26#65919—24no—
27#65919C2218yescomplemented
28C2×#4043—21no—
29C2×#4042—21no—
30C2×#4042—21no—
31C2×#4040—21no—
32C2×#4040—21no—
33C2×#4039C2211yescharacteristic
34C2×#4039C2211yescharacteristic
35C2×#4039C2211yescharacteristic
36C2×#4039C2211yescharacteristic
37C2×D5×C4⋊C4—21no—
38C2×#4036C2211yescharacteristic
39C2×#4034C2211yescharacteristic
40C2×#4021—21no—
41C2×#4020C2211yescharacteristic
42C2×C4×D20—21no—
43C2×C4×D20C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#479C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65356C2218yescomplemented
59#65315C2218yescomplemented
60C2×#3941C2211yescharacteristic
61C2×#3941C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65179C2218yescomplemented
68#65161C2218yescomplemented
69#65160C2218yescomplemented
70#65158C2218yescomplemented
71#65132C2218yes—
72#65117C2218yescomplemented
73#65108C2218yescomplemented
74#65108C2218yescomplemented
75#65089C2218yescomplemented
76#65084C2218yescomplemented
77C2×#3370—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×D20—21no—
80C22×D20—21no—
81C22×D20C2311yescharacteristic
82C22×D20C2311yescharacteristic
83C22×D20C2311yescharacteristic
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×C4×D5—21no—
89C22×Dic10—21no—
90C22×Dic10D411yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×#125—22no—
94C5×#125C2314yes—
95C4×C5×Q8—22no—
96C4×C5×Q8C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C42×C5—21no—
104C2×C42×C5C2311yescharacteristic
105#4093—22no—
106#4093—22no—
107#4093C2314yes—
108#4093C2314yes—
109C2×#688—24no—
110C2×#688C2314yes—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5D411yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×#683—21no—
124C2×#683—21no—
125C2×#683D411yescharacteristic
126C2×#683D411yescharacteristic
127C2×C4×Dic5C2311yescharacteristic
128C2×C4×Dic5C2311yescharacteristic
129C22×#168C2311yescharacteristic
130C22×#168C2311yescharacteristic
131C2×D40—24no—
132C2×D40—24no—
133C2×D40C2314yes—
134C2×D40C2314yes—
135#4043—28no—
136#4042—28no—
137#4042—28no—
138#4040—28no—
139#4040—28no—
140#4039—22no—
141#4039—22no—
142#4039—22no—
143#4039—22no—
144#4039C2314yes—
145#4039C2314yes—
146#4039C2314yes—
147#4039C2314yes—
148D5×C4⋊C4—28no—
149#4036—22no—
150#4036C2314yes—
151#4034—22no—
152#4034C2314yes—
153#4021—28no—
154#4020—22no—
155#4020C2314yes—
156C4×D20—22no—
157C4×D20—28no—
158C4×D20C2314yes—
159C4×Dic10D414yes—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#106C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#103C2314yes—
165C5×#103C2314yes—
166#3967C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3947C2314yes—
170#3946C2314yes—
171#3946C2314yes—
172C8×Dic5C2314yes—
173#3941C2314yes—
174#3941C2314yes—
175#3941C2314yes—
176#3941C2314yes—
177#3941C2314yes—
178#3939C2314yes—
179#3935C2314yes—
180C2×#559—51no—
181C2×#554—51no—
182#3370—516no—
183C2×#490—51no—
184C2×#489—51no—
185C2×#488—51no—
186C2×#479D511yescharacteristic, complemented
187C2×#478—51no—
188C2×#474—51no—
189C2×#463—51no—
190C2×#463—51no—
191C2×#459—51no—
192C2×#446—51no—
193C2×#442—51no—
194C2×#440—51no—
195C2×C4×D8—51no—
196C23×D5—21no—
197C23×D5—21no—
198C23×D5—21no—
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8C2412yes—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2411yescharacteristic
210C22×Dic5—21no—
211C22×Dic5C2×D411yescharacteristic
212C22×Dic5C2×D411yescharacteristic
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C2×D20—21no—
216C2×D20—22no—
217C2×D20—22no—
218C2×D20—22no—
219C2×D20—22no—
220C2×D20—22no—
221C2×D20—24no—
222C2×D20—21no—
223C2×D20—21no—
224C2×D20—24no—
225C2×D20—44no—
226C2×D20—82no—
227C2×D20#4114yes—
228C2×D20C2412yes—
229C2×D20C2412yes—
230C2×D20C2412yes—
231C2×C4×D5—24no—
232C2×C4×D5—24no—
233C2×C4×D5—24no—
234C2×C4×D5—24no—
235C2×C4×D5—24no—
236C2×C4×D5—44no—
237C2×C4×D5—82no—
238C2×C4×D5—82no—
239C2×C4×D5—82no—
240C2×C4×D5—82no—
241C2×Dic10—24no—
242C2×Dic10—42no—
243C2×Dic10—82no—
244C2×Dic10C2×D414yes—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—24no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4—21no—
255C5×C4⋊C4C2412yes—
256C5×C4⋊C4C2412yes—
257C5×C4⋊C4C2412yes—
258C42×C5—24no—
259C42×C5C2×D412yes—
260C42×C5C2412yes—
261#688—28no—
262#685—24no—
263#685—24no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685—24no—
269#685—24no—
270#685—24no—
271C4⋊Dic5—21no—
272C4⋊Dic5—24no—
273C4⋊Dic5C2×D414yes—
274C4⋊Dic5C2412yes—
275#683—24no—
276#683—24no—
277#683C2×D414yes—
278#683C2×D414yes—
279C4×Dic5C2×D412yes—
280C4×Dic5C2×D412yes—
281C4×Dic5C2412yes—
282C4×Dic5C2412yes—
283C2×#168—22no—
284C2×#168—22no—
285C2×#168C2412yes—
286C2×#168C2412yes—
287D40—28no—
288D40—28no—
289C22×SD16—51no—
290C22×D8—51no—
291C22×D8—51no—
292#559—58no—
293#559—104no—
294#554—58no—
295#554—104no—
296C2×C4⋊Q8—51no—
297C2×#127—51no—
298C2×#125—51no—
299C2×#125C2×D511yescharacteristic
300C2×#124—51no—
301C2×#124—51no—
302C2×#124—101no—
303C2×#123—101no—
304C2×#123—101no—
305C2×C22⋊Q8—101no—
306C2×C22⋊Q8—101no—
307C2×C22⋊Q8—101no—
308C2×C4×Q8—51no—
309C2×C4×Q8C2×D511yescharacteristic
310C2×C4×D4—51no—
311C2×C4×D4—51no—
312C2×C4×D4—51no—
313C2×C4×D4—51no—
314C2×C4×D4—51no—
315C2×C4×D4—101no—
316C22×C4⋊C4—101no—
317#490—58no—
318#489—58no—
319#488—58no—
320#479C2×D518yescomplemented
321#478—58no—
322#474—58no—
323#463—58no—
324#463—58no—
325#459—58no—
326#446—58no—
327#442—58no—
328#440—58no—
329C4×D8—58no—
330C2×#107—51no—
331C2×#107C2×D511yescharacteristic
332C2×#106C2×D511yescharacteristic
333C2×C4⋊C8—51no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8C2×D511yescharacteristic
336C2×#103—51no—
337C2×#103C2×D511yescharacteristic
338C2×#103C2×D511yescharacteristic
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102—51no—
344C2×#102—51no—
345C2×#102—51no—
346C2×#97—51no—
347C2×#97—51no—
348C2×C4×C8—51no—
349C23×C5C22×D411yescharacteristic
350C22×D5—24no—
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—42no—
355C22×D5—42no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5—42no—
359C22×D5—42no—
360C22×D5—42no—
361C22×D5—42no—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—42no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5—42no—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D411yescharacteristic
378C2×C4×C5C2×#4112yes—
379C2×C4×C52−1+412yes—
380C2×C4×C5C2511yescharacteristic
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391D20—24no—
392D20—22no—
393D20—22no—
394D20—22no—
395D20—22no—
396D20—22no—
397D20—48no—
398D20—42no—
399D20—42no—
400D20—84no—
401D20C2×#4114yes—
402C4×D5—48no—
403C4×D5—84no—
404C4×D5—84no—
405C4×D5—84no—
406C4×D5—84no—
407Dic10—44no—
408Dic10—84no—
409C5×C8—22no—
410C5×C8—22no—
411#168—22no—
412#168—22no—
413C22×Q8—51no—
414C22×Q8—101no—
415C22×Q8C22×D511yescharacteristic
416C22×D4—51no—
417C22×D4—51no—
418C22×D4—51no—
419C22×D4—101no—
420C22×D4—101no—
421C23×C4—101no—
422C23×C4—101no—
423C23×C4—101no—
424C23×C4—101no—
425C23×C4—101no—
426C2×SD16—54no—
427C2×SD16—104no—
428C2×D8—54no—
429C2×D8—54no—
430C2×D8—104no—
431C2×D8—104no—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8C22×D511yescharacteristic
435C22×C8C22×D511yescharacteristic
436C4⋊Q8—54no—
437C4⋊Q8—102no—
438#127—54no—
439#127—102no—
440#125—22no—
441#125—54no—
442#125—102no—
443#125C22×D514yes—
444#124—54no—
445#124—54no—
446#124—108no—
447#124—102no—
448#124—102no—
449#123—108no—
450#123—108no—
451C22⋊Q8—108no—
452C22⋊Q8—108no—
453C22⋊Q8—108no—
454C4×Q8—22no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8C22×D514yes—
458C4×D4—54no—
459C4×D4—54no—
460C4×D4—54no—
461C4×D4—54no—
462C4×D4—54no—
463C4×D4—108no—
464C4×D4—102no—
465C4×D4—102no—
466C4×D4—102no—
467C4×D4—102no—
468C4×D4—102no—
469C2×C4⋊C4—21no—
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—108no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4C22×D511yescharacteristic
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C4⋊C4C22×D511yescharacteristic
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C22⋊C4—101no—
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C42—21no—
493C2×C42—51no—
494C2×C42—51no—
495C2×C42C22×D511yescharacteristic
496#107—54no—
497#107C22×D514yes—
498#106C22×D514yes—
499C4⋊C8—54no—
500C4⋊C8—54no—
501C4⋊C8C22×D514yes—
502#103—54no—
503#103C22×D514yes—
504#103C22×D514yes—
505#102—54no—
506#102—54no—
507#102—54no—
508#102—54no—
509#102—54no—
510#102—54no—
511#102—54no—
512#97—54no—
513#97—54no—
514C4×C8—54no—
515C22×C5#54812yes—
516C22×C5#57512yes—
517C22×C5#57612yes—
518C22×C5C23×D411yescharacteristic
519C2×D5—24no—
520C2×D5—48no—
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—42no—
524C2×D5—42no—
525C2×D5—42no—
526C2×D5—42no—
527C2×D5—42no—
528C2×D5—42no—
529C2×D5—84no—
530C2×D5—84no—
531C4×C5—22no—
532C4×C5—22no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5—42no—
537C4×C5#54812yes—
538C4×C5C22×#4111yescharacteristic
539C4×C5C2×2−1+411yescharacteristic
540Dic5—22no—
541Dic5—22no—
542Dic5—22no—
543Dic5—22no—
544Dic5—42no—
545C24—101no—
546C24—101no—
547C24—101no—
548C2×Q8—21no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—54no—
552C2×Q8—104no—
553C2×Q8—202no—
554C2×Q8—402no—
555C2×Q8C23×D512yes—
556C2×D4—54no—
557C2×D4—52no—
558C2×D4—52no—
559C2×D4—52no—
560C2×D4—101no—
561C2×D4—104no—
562C2×D4—101no—
563C2×D4—101no—
564C2×D4—104no—
565C2×D4—102no—
566C2×D4—102no—
567C2×D4—102no—
568C2×D4—102no—
569C2×D4—102no—
570C2×D4—204no—
571C2×D4—402no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—51no—
577C22×C4—51no—
578C22×C4—51no—
579C22×C4—51no—
580C22×C4—104no—
581C22×C4—104no—
582C22×C4—104no—
583C22×C4—104no—
584C22×C4—101no—
585C22×C4—104no—
586C22×C4—204no—
587C22×C4—402no—
588C22×C4—402no—
589C22×C4—402no—
590C22×C4—402no—
591C22×C4D4×D511yescharacteristic
592C22×C4D4×D511yescharacteristic
593C22×C4C23×D511yescharacteristic
594SD16—108no—
595D8—108no—
596D8—108no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—52no—
600C2×C8—52no—
601C2×C8—102no—
602C2×C8—102no—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—24no—
606C4⋊C4—24no—
607C4⋊C4—24no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—54no—
612C4⋊C4—54no—
613C4⋊C4—54no—
614C4⋊C4—52no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—101no—
619C4⋊C4C23×D512yes—
620C4⋊C4C23×D512yes—
621C4⋊C4C23×D512yes—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C22⋊C4—104no—
628C22⋊C4—104no—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C42—24no—
632C42—52no—
633C42—52no—
634C42—52no—
635C42—52no—
636C42D4×D512yes—
637C42C23×D512yes—
638C2×C5#337014yescomplemented
639C2×C5C2×#54811yescharacteristic
640C2×C5C2×#57511yescharacteristic
641C2×C5C2×#57611yescharacteristic
642D5—44no—
643D5—82no—
644D5—82no—
645C23—104no—
646C23—102no—
647C23—102no—
648C23—102no—
649C23—202no—
650C23—202no—
651C23—202no—
652C23—202no—
653C23—202no—
654C23—202no—
655C23—202no—
656C23—202no—
657C23C2×D4×D511yescharacteristic
658Q8—22no—
659Q8—22no—
660Q8—42no—
661Q8—204no—
662Q8—404no—
663D4—54no—
664D4—104no—
665D4—102no—
666D4—102no—
667D4—102no—
668D4—102no—
669D4—102no—
670D4—208no—
671D4—202no—
672D4—202no—
673D4—404no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—52no—
685C2×C4—52no—
686C2×C4—52no—
687C2×C4—52no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—208no—
694C2×C4—202no—
695C2×C4—404no—
696C2×C4—404no—
697C2×C4—404no—
698C2×C4—404no—
699C2×C4C2×D4×D512yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D511yescharacteristic
702C2×C4#414712yes—
703C2×C4D5×#4112yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—102no—
708C8—102no—
709C5C2×#337011yescharacteristic, complemented, Sylow
710C22—104no—
711C22—202no—
712C22—208no—
713C22—202no—
714C22—202no—
715C22—202no—
716C22—202no—
717C22—202no—
718C22—202no—
719C22—202no—
720C22—404no—
721C22—404no—
722C22#6596712yes—
723C22#6610312yes—
724C22#6611112yes—
725C22C22×D4×D511yescharacteristic
726C4—22no—
727C4—22no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—102no—
733C4—102no—
734C4—102no—
735C4—102no—
736C4—202no—
737C4#6596712yes—
738C4C2×#414711yescharacteristic
739C4C2×D5×#4111yescharacteristic
740C2—204no—
741C2—402no—
742C2—402no—
743C2#1061294814yesdirect product factor
744C2C2×#6596711yescharacteristic
745C2C2×#6610311yescharacteristic
746C2C2×#6611111yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#479C2
socleC23×C5C22×D4
prime radicalC2×#65132C2
hypercenterC2×#479D5
hypocenterC5C2×#3370
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
1. C2×#66024C2semidirect
2. C2×#65919C2semidirect
3. C2×C5×#479C2semidirect
4. C2×#65356C2semidirect
5. C2×#65315C2semidirect
6. #10612948C2direct (N × H)
7. C2×#65179C2semidirect
8. C2×#65161C2semidirect
9. C2×#65160C2semidirect
10. C2×#65158C2semidirect
12. C2×#65117C2semidirect
13. C2×#65108C2semidirect
14. C2×#65108C2semidirect
15. C2×#65084C2semidirect
16. C2×#65089C2semidirect
25. #66024C22semidirect
27. #65919C22semidirect
45. C5×#479C22semidirect
58. #65356C22semidirect
59. #65315C22semidirect
67. #65179C22semidirect
68. #65161C22semidirect
69. #65160C22semidirect
70. #65158C22semidirect
72. #65117C22semidirect
73. #65108C22semidirect
74. #65108C22semidirect
75. #65089C22semidirect
76. #65084C22semidirect
186. C2×#479D5semidirect
320. #479C2×D5semidirect
638. C2×C5#3370semidirect
709. C5C2×#3370semidirect
743. C2#10612948direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660242
C2×#659192
C2×C5×#4792
C2×#653562
C2×#653152
#106129482
C2×#651792
C2×#651612
C2×#651602
C2×#651582
C2×#651322
C2×#651172
C2×#651082
C2×#650842
C2×#650892
C2×#33705