Finite Group Databasebeta

← C2×#10612945 #12972247

Subgroups — C2×#10612945 #12972247

Order 1280.

1882 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66032C211yesmaximal, characteristic
2C2×#65917C211yesmaximal, characteristic, complemented
3C2×C5×#479C211yesmaximal, characteristic, complemented
4C2×#65352C211yesmaximal, characteristic, complemented
5C2×#65316C211yesmaximal, characteristic, complemented
6#10612945C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×#65175C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10C2×#65153C211yesmaximal, characteristic, complemented
11C2×#65137C211yesmaximal, characteristic, complemented
12C2×#65128C211yesmaximal, characteristic, complemented
13C2×#65107C211yesmaximal, characteristic, complemented
14C2×#65107C211yesmaximal, characteristic, complemented
15C2×#65101C211yesmaximal, characteristic, complemented
16C2×#65096C211yesmaximal, characteristic, complemented
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×#4092C2211yescharacteristic
20C2×#4090C2211yescharacteristic
21C22×#688C2211yescharacteristic
22C22×#688C2211yescharacteristic
23C22×#677C2211yescharacteristic
24C22×#677C2211yescharacteristic
25C22×#676C2211yescharacteristic
26C22×C8×D5C2211yescharacteristic
27#66032—24no—
28#66032C2218yes—
29#65917—24no—
30#65917C2218yescomplemented
31C2×#4044—21no—
32C2×#4043C2211yescharacteristic
33C2×#4041—21no—
34C2×#4041—21no—
35C2×#4041C2211yescharacteristic
36C2×#4041C2211yescharacteristic
37C2×#4040—21no—
38C2×#4040—21no—
39C2×#4039C2211yescharacteristic
40C2×#4039C2211yescharacteristic
41C2×#4036C2211yescharacteristic
42C2×#4035—21no—
43C2×#4022—21no—
44C2×#4020C2211yescharacteristic
45C2×#4018C2211yescharacteristic
46C2×#4016—21no—
47C2×C4×Dic10C2211yescharacteristic
48C5×#479C2218yescomplemented
49C2×C5×#107C2211yescharacteristic
50C2×C5×#106C2211yescharacteristic
51C2×C5×C4⋊C8C2211yescharacteristic
52C2×C5×#103C2211yescharacteristic
53C2×C5×#103C2211yescharacteristic
54C2×#3953C2211yescharacteristic
55C2×#3953C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65352C2218yescomplemented
59#65316C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65180C2218yescomplemented
68#65175C2218yescomplemented
69#65160C2218yescomplemented
70#65153C2218yescomplemented
71#65137C2218yescomplemented
72#65128C2218yescomplemented
73#65107C2218yescomplemented
74#65107C2218yescomplemented
75#65101C2218yescomplemented
76#65096C2218yescomplemented
77C2×#3260—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×D20—21no—
80C22×D20—21no—
81C22×D20—21no—
82C22×D20—21no—
83C22×D20C2311yescharacteristic
84C22×D20C2311yescharacteristic
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5C2311yescharacteristic
88C22×Dic10C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×#125—22no—
92C5×#125C2314yes—
93C4×C5×Q8—22no—
94C4×C5×Q8C2314yes—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C42×C5—21no—
102C2×C42×C5C2311yescharacteristic
103#4092—22no—
104#4092C2314yes—
105#4090—22no—
106#4090C2314yes—
107C2×#688—42no—
108C2×#688—42no—
109C2×#688C2314yes—
110C2×#688C2314yes—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685D411yescharacteristic
118C2×#685D411yescharacteristic
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5C2311yescharacteristic
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683D411yescharacteristic
128C2×#683D411yescharacteristic
129C2×C4×Dic5—21no—
130C2×C4×Dic5C2311yescharacteristic
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C2×#677—42no—
134C2×#677—42no—
135C2×#677C2314yes—
136C2×#677C2314yes—
137C2×#676—42no—
138C2×#676C2314yes—
139C2×C8×D5—42no—
140C2×C8×D5C2314yes—
141#4044—28no—
142#4043—22no—
143#4043C2314yes—
144#4041—22no—
145#4041—22no—
146#4041—28no—
147#4041—28no—
148#4041C2314yes—
149#4041C2314yes—
150#4040—28no—
151#4040—28no—
152#4039—22no—
153#4039—22no—
154#4039C2314yes—
155#4039C2314yes—
156#4036—22no—
157#4036C2314yes—
158#4035—28no—
159#4022—28no—
160#4020—22no—
161#4020C2314yes—
162#4018D414yes—
163#4018C2314yes—
164#4016—28no—
165C4×Dic10—22no—
166C4×Dic10C2314yes—
167C5×#107C2314yes—
168C5×#106C2314yes—
169C5×C4⋊C8C2314yes—
170C5×#103C2314yes—
171C5×#103C2314yes—
172#3953C2314yes—
173#3953C2314yes—
174#3946C2314yes—
175#3946C2314yes—
176#3942C2314yes—
177#3942C2314yes—
178#3941C2314yes—
179#3941C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182C4⋊#168C2314yes—
183C2×#541—51no—
184C2×#540—51no—
185#3260—516no—
186C2×#479—51no—
187C2×#479D511yescharacteristic, complemented
188C2×#478—51no—
189C2×#478—51no—
190C2×#468—51no—
191C2×#468—51no—
192C2×#465—51no—
193C2×#465—51no—
194C2×#460—51no—
195C2×#460—51no—
196C2×#461—51no—
197C2×#461—51no—
198C2×#424—51no—
199C23×D5—21no—
200C23×D5—21no—
201C23×D5C2×D411yescharacteristic
202C2×C5×Q8—21no—
203C2×C5×Q8—22no—
204C2×C5×Q8—22no—
205C2×C5×Q8C2412yes—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2411yescharacteristic
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5C2×D411yescharacteristic
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218C2×D20—22no—
219C2×D20—22no—
220C2×D20—22no—
221C2×D20—22no—
222C2×D20—21no—
223C2×D20—21no—
224C2×D20—24no—
225C2×D20—24no—
226C2×D20—24no—
227C2×D20—24no—
228C2×D20—82no—
229C2×D20—82no—
230C2×D20—82no—
231C2×D20—82no—
232C2×D20C2412yes—
233C2×D20C2412yes—
234C2×C4×D5—22no—
235C2×C4×D5—22no—
236C2×C4×D5—24no—
237C2×C4×D5—24no—
238C2×C4×D5—82no—
239C2×C4×D5—82no—
240C2×C4×D5C2×D412yes—
241C2×C4×D5C2412yes—
242C2×Dic10—22no—
243C2×Dic10—22no—
244C2×Dic10—21no—
245C2×Dic10C2412yes—
246C2×C5×C8—22no—
247C2×C5×C8—22no—
248C2×C5×C8C2412yes—
249C2×C5×C8C2412yes—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—24no—
252C5×C4⋊C4—24no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4—21no—
255C5×C4⋊C4—21no—
256C5×C4⋊C4C2412yes—
257C5×C4⋊C4C2412yes—
258C5×C4⋊C4C2412yes—
259C42×C5—24no—
260C42×C5C2×D412yes—
261C42×C5C2412yes—
262#688—44no—
263#688—44no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685—24no—
269#685—24no—
270#685C2×D414yes—
271#685C2×D414yes—
272C4⋊Dic5—21no—
273C4⋊Dic5—24no—
274C4⋊Dic5—24no—
275C4⋊Dic5C2412yes—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281#683C2×D414yes—
282#683C2×D414yes—
283C4×Dic5—24no—
284C4×Dic5C2×D412yes—
285C4×Dic5C2412yes—
286C2×#168—22no—
287C2×#168—22no—
288C2×#168C2412yes—
289C2×#168C2412yes—
290#677—44no—
291#677—44no—
292#676—44no—
293C8×D5—44no—
294C22×SD16—51no—
295C22×SD16—51no—
296C22×SD16—51no—
297C22×SD16—51no—
298C22×M16—51no—
299C23×C8—51no—
300#541—58no—
301#541—104no—
302#540—58no—
303#540—104no—
304C2×C4⋊Q8—51no—
305C2×#127—51no—
306C2×#126—101no—
307C2×#126—101no—
308C2×#125—51no—
309C2×#125—101no—
310C2×#125—101no—
311C2×#125C2×D511yescharacteristic
312C2×#123—101no—
313C2×#123—101no—
314C2×C22⋊Q8—51no—
315C2×C22⋊Q8—51no—
316C2×#121—51no—
317C2×#121—51no—
318C2×#121—101no—
319C2×#121—101no—
320C2×C4×Q8—51no—
321C2×C4×Q8C2×D511yescharacteristic
322C2×C4×D4—51no—
323C2×C4×D4—51no—
324C2×#117—51no—
325#479—58no—
326#479C2×D518yescomplemented
327#478—58no—
328#478—58no—
329#468—58no—
330#468—58no—
331#465—58no—
332#465—58no—
333#461—58no—
334#461—58no—
335#460—58no—
336#460—58no—
337C2×#107—51no—
338C2×#107C2×D511yescharacteristic
339C2×#106—51no—
340C2×#106C2×D511yescharacteristic
341#424—58no—
342C2×C4⋊C8—51no—
343C2×C4⋊C8—51no—
344C2×C4⋊C8—51no—
345C2×C4⋊C8C2×D511yescharacteristic
346C2×#103—51no—
347C2×#103—51no—
348C2×#103C2×D511yescharacteristic
349C2×#103C2×D511yescharacteristic
350C2×#102—51no—
351C2×#102—51no—
352C2×#102—51no—
353C2×#102—51no—
354C23×C5C22×D411yescharacteristic
355C22×D5—22no—
356C22×D5—22no—
357C22×D5—22no—
358C22×D5—22no—
359C22×D5—22no—
360C22×D5—42no—
361C22×D5—42no—
362C22×D5—42no—
363C22×D5—42no—
364C22×D5—42no—
365C22×D5—42no—
366C22×D5C22×D412yes—
367C5×Q8—22no—
368C5×Q8—22no—
369C5×Q8—42no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—42no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5—42no—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D412yes—
382C2×C4×C5C22×D411yescharacteristic
383C2×C4×C5H(5,𝔽2)12yes—
384C2×C4×C52−1+412yes—
385C2×C4×C5C2511yescharacteristic
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396D20—22no—
397D20—22no—
398D20—22no—
399D20—22no—
400D20—42no—
401D20—42no—
402D20—84no—
403D20—84no—
404D20—84no—
405D20—84no—
406C4×D5—24no—
407C4×D5—22no—
408C4×D5—22no—
409C4×D5—84no—
410C4×D5—84no—
411Dic10—22no—
412Dic10—22no—
413Dic10—42no—
414C5×C8—22no—
415C5×C8—22no—
416#168—22no—
417#168—22no—
418C22×Q8—51no—
419C22×Q8C22×D511yescharacteristic
420C22×D4—51no—
421C22×D4—51no—
422C22×D4—101no—
423C22×D4—101no—
424C22×D4—101no—
425C22×D4—101no—
426C23×C4—51no—
427C23×C4—101no—
428C23×C4—101no—
429C2×SD16—54no—
430C2×SD16—54no—
431C2×SD16—54no—
432C2×SD16—54no—
433C2×SD16—202no—
434C2×SD16—202no—
435C2×SD16—202no—
436C2×SD16—202no—
437C2×M16—54no—
438C2×M16—202no—
439C22×C8—51no—
440C22×C8—51no—
441C22×C8—54no—
442C22×C8—202no—
443C22×C8C22×D511yescharacteristic
444C22×C8C22×D511yescharacteristic
445C4⋊Q8—54no—
446C4⋊Q8—102no—
447#127—54no—
448#127—102no—
449#126—108no—
450#126—108no—
451#125—22no—
452#125—54no—
453#125—108no—
454#125—102no—
455#125—108no—
456#125C22×D514yes—
457#123—108no—
458#123—108no—
459C22⋊Q8—54no—
460C22⋊Q8—54no—
461C22⋊Q8—102no—
462C22⋊Q8—102no—
463#121—54no—
464#121—54no—
465#121—108no—
466#121—108no—
467#121—102no—
468#121—102no—
469C4×Q8—22no—
470C4×Q8—54no—
471C4×Q8—102no—
472C4×Q8C22×D514yes—
473C4×D4—54no—
474C4×D4—54no—
475C4×D4—102no—
476C4×D4—102no—
477#117—54no—
478#117—54no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—51no—
483C2×C4⋊C4—51no—
484C2×C4⋊C4—51no—
485C2×C4⋊C4—101no—
486C2×C4⋊C4—101no—
487C2×C4⋊C4—101no—
488C2×C4⋊C4—101no—
489C2×C4⋊C4—101no—
490C2×C4⋊C4—101no—
491C2×C4⋊C4—101no—
492C2×C4⋊C4C22×D511yescharacteristic
493C2×C4⋊C4C22×D511yescharacteristic
494C2×C4⋊C4C22×D511yescharacteristic
495C2×C22⋊C4—51no—
496C2×C22⋊C4—51no—
497C2×C22⋊C4—101no—
498C2×C22⋊C4—101no—
499C2×C22⋊C4—101no—
500C2×C22⋊C4—101no—
501C2×C22⋊C4—101no—
502C2×C22⋊C4—101no—
503C2×C42—21no—
504C2×C42—51no—
505C2×C42—101no—
506C2×C42C22×D511yescharacteristic
507#107—54no—
508#107C22×D514yes—
509#106—54no—
510#106C22×D514yes—
511C4⋊C8—54no—
512C4⋊C8—54no—
513C4⋊C8—54no—
514C4⋊C8C22×D514yes—
515#103—54no—
516#103—54no—
517#103C22×D514yes—
518#103C22×D514yes—
519#102—54no—
520#102—54no—
521#102—54no—
522#102—54no—
523C22×C5#53712yes—
524C22×C5#57712yes—
525C22×C5#57712yes—
526C22×C5C23×D411yescharacteristic
527C2×D5—22no—
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—44no—
531C2×D5—42no—
532C2×D5—42no—
533C2×D5—42no—
534C2×D5—42no—
535C2×D5—42no—
536C2×D5—42no—
537C2×D5—84no—
538C2×D5—84no—
539C4×C5—22no—
540C4×C5—22no—
541C4×C5—42no—
542C4×C5—42no—
543C4×C5—42no—
544C4×C5—42no—
545C4×C5#53712yes—
546C4×C5C2×H(5,𝔽2)11yescharacteristic
547C4×C5C2×2−1+411yescharacteristic
548Dic5—22no—
549Dic5—22no—
550Dic5—22no—
551Dic5—42no—
552Dic5—42no—
553C24—51no—
554C24—101no—
555C24—101no—
556C2×Q8—21no—
557C2×Q8—22no—
558C2×Q8—22no—
559C2×Q8—52no—
560C2×Q8—101no—
561C2×Q8—102no—
562C2×Q8—102no—
563C2×Q8C23×D512yes—
564C2×D4—52no—
565C2×D4—52no—
566C2×D4—104no—
567C2×D4—104no—
568C2×D4—101no—
569C2×D4—101no—
570C2×D4—104no—
571C2×D4—104no—
572C2×D4—102no—
573C2×D4—102no—
574C2×D4—102no—
575C2×D4—102no—
576C2×D4—402no—
577C2×D4—402no—
578C2×D4—402no—
579C2×D4—402no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—51no—
585C22×C4—51no—
586C22×C4—51no—
587C22×C4—52no—
588C22×C4—52no—
589C22×C4—104no—
590C22×C4—104no—
591C22×C4—102no—
592C22×C4—102no—
593C22×C4—101no—
594C22×C4—101no—
595C22×C4—402no—
596C22×C4—402no—
597C22×C4D4×D511yescharacteristic
598C22×C4D4×D511yescharacteristic
599C22×C4C23×D511yescharacteristic
600SD16—204no—
601SD16—204no—
602SD16—204no—
603SD16—204no—
604M16—204no—
605C2×C8—22no—
606C2×C8—22no—
607C2×C8—52no—
608C2×C8—52no—
609C2×C8—102no—
610C2×C8—102no—
611C2×C8—204no—
612C2×C8C23×D512yes—
613C2×C8C23×D512yes—
614C4⋊C4—24no—
615C4⋊C4—24no—
616C4⋊C4—24no—
617C4⋊C4—21no—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—54no—
621C4⋊C4—54no—
622C4⋊C4—52no—
623C4⋊C4—104no—
624C4⋊C4—104no—
625C4⋊C4—104no—
626C4⋊C4—104no—
627C4⋊C4—104no—
628C4⋊C4—104no—
629C4⋊C4—101no—
630C4⋊C4—104no—
631C4⋊C4C23×D512yes—
632C4⋊C4C23×D512yes—
633C4⋊C4C23×D512yes—
634C22⋊C4—54no—
635C22⋊C4—54no—
636C22⋊C4—104no—
637C22⋊C4—104no—
638C22⋊C4—104no—
639C22⋊C4—104no—
640C22⋊C4—104no—
641C22⋊C4—104no—
642C42—24no—
643C42—52no—
644C42—52no—
645C42—104no—
646C42D4×D512yes—
647C42C23×D512yes—
648C2×C5#326014yescomplemented
649C2×C5C2×#53711yescharacteristic
650C2×C5C2×#57711yescharacteristic
651C2×C5C2×#57711yescharacteristic
652D5—42no—
653D5—82no—
654D5—82no—
655C23—52no—
656C23—102no—
657C23—102no—
658C23—102no—
659C23—102no—
660C23—102no—
661C23—202no—
662C23—202no—
663C23—202no—
664C23—202no—
665C23—202no—
666C23—202no—
667C23C2×D4×D511yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—42no—
671Q8—102no—
672Q8—102no—
673Q8—202no—
674D4—102no—
675D4—102no—
676D4—102no—
677D4—102no—
678D4—202no—
679D4—202no—
680D4—404no—
681D4—404no—
682D4—404no—
683D4—404no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—52no—
695C2×C4—52no—
696C2×C4—52no—
697C2×C4—102no—
698C2×C4—102no—
699C2×C4—102no—
700C2×C4—104no—
701C2×C4—102no—
702C2×C4—102no—
703C2×C4—102no—
704C2×C4—102no—
705C2×C4—202no—
706C2×C4—202no—
707C2×C4—404no—
708C2×C4—404no—
709C2×C4C2×D4×D512yes—
710C2×C4C2×D4×D512yes—
711C2×C4C2×D4×D511yescharacteristic
712C2×C4#414712yes—
713C2×C4#414912yes—
714C2×C4C24×D511yescharacteristic
715C8—22no—
716C8—22no—
717C8—102no—
718C8—102no—
719C5C2×#326011yescharacteristic, complemented, Sylow
720C22—102no—
721C22—102no—
722C22—102no—
723C22—204no—
724C22—202no—
725C22—202no—
726C22—202no—
727C22—202no—
728C22—202no—
729C22—202no—
730C22—404no—
731C22—404no—
732C22#6596312yes—
733C22#6610412yes—
734C22#6611212yes—
735C22C22×D4×D511yescharacteristic
736C4—22no—
737C4—22no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—102no—
743C4—102no—
744C4—102no—
745C4—202no—
746C4—202no—
747C4#6596312yes—
748C4C2×#414711yescharacteristic
749C4C2×#414911yescharacteristic
750C2—202no—
751C2—402no—
752C2—402no—
753C2#1061294514yesdirect product factor
754C2C2×#6596311yescharacteristic
755C2C2×#6610411yescharacteristic
756C2C2×#6611211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#479C2
socleC23×C5C22×D4
prime radicalC2×#66032C2
hypercenterC2×#479D5
hypocenterC5C2×#3260
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
2. C2×#65917C2semidirect
3. C2×C5×#479C2semidirect
4. C2×#65352C2semidirect
5. C2×#65316C2semidirect
6. #10612945C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×#65175C2semidirect
9. C2×#65160C2semidirect
10. C2×#65153C2semidirect
11. C2×#65137C2semidirect
12. C2×#65128C2semidirect
13. C2×#65107C2semidirect
14. C2×#65107C2semidirect
15. C2×#65101C2semidirect
16. C2×#65096C2semidirect
30. #65917C22semidirect
48. C5×#479C22semidirect
58. #65352C22semidirect
59. #65316C22semidirect
67. #65180C22semidirect
68. #65175C22semidirect
69. #65160C22semidirect
70. #65153C22semidirect
71. #65137C22semidirect
72. #65128C22semidirect
73. #65107C22semidirect
74. #65107C22semidirect
75. #65101C22semidirect
76. #65096C22semidirect
187. C2×#479D5semidirect
326. #479C2×D5semidirect
648. C2×C5#3260semidirect
719. C5C2×#3260semidirect
753. C2#10612945direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660322
C2×#659172
C2×C5×#4792
C2×#653522
C2×#653162
#106129452
C2×#651802
C2×#651752
C2×#651602
C2×#651532
C2×#651372
C2×#651282
C2×#651072
C2×#651012
C2×#650962
C2×#32605