Finite Group Databasebeta

← C2×#10612687 #12979038

Subgroups — C2×#10612687 #12979038

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66056C211yesmaximal, characteristic, complemented
2C2×#65893C211yesmaximal, characteristic
3C2×C5×#474C211yesmaximal, characteristic, complemented
4C2×#65378C211yesmaximal, characteristic, complemented
5C2×#65307C211yesmaximal, characteristic, complemented
6#10612687C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65179C211yesmaximal, characteristic, complemented
9C2×#65178C211yesmaximal, characteristic, complemented
10C2×#65162C211yesmaximal, characteristic, complemented
11C2×#65134C211yesmaximal, characteristic, complemented
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65056C211yesmaximal, characteristic, complemented
14C2×#65051C211yesmaximal, characteristic
15C2×#65054C211yesmaximal, characteristic, complemented
16C2×#65049C211yesmaximal, characteristic
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×#4090—21no—
20C2×#4090—21no—
21C2×#4086C2211yescharacteristic
22C2×#4082C2211yescharacteristic
23C22×#687C2211yescharacteristic
24C2×#4075—21no—
25C2×C4×C22⋊D5—21no—
26C22×Dic20C2211yescharacteristic
27C22×#677C2211yescharacteristic
28#66056—24no—
29#66056C2218yescomplemented
30#65893—24no—
31#65893C2218yes—
32C2×#4039C2211yescharacteristic
33C2×#4034—21no—
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4033—21no—
37C2×#4033C2211yescharacteristic
38C2×#4033C2211yescharacteristic
39C2×#4033C2211yescharacteristic
40C2×#4031—21no—
41C2×#4029—21no—
42C2×#4021C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#474C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#102C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3948C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65378C2218yescomplemented
59#65307C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65179C2218yescomplemented
68#65178C2218yescomplemented
69#65164C2218yescomplemented
70#65162C2218yescomplemented
71#65134C2218yescomplemented
72#65117C2218yescomplemented
73#65056C2218yescomplemented
74#65054C2218yescomplemented
75#65051C2218yes—
76#65049C2218yes—
77C2×#3375—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×D20C2311yescharacteristic
84C22×C4×D5—21no—
85C22×Dic10—21no—
86C22×Dic10—21no—
87C22×Dic10D411yescharacteristic
88C22×Dic10C2311yescharacteristic
89C22×Dic10C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C4×C5×D4—22no—
95C4×C5×D4C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104#4090—28no—
105#4090—28no—
106#4086—22no—
107#4086C2314yes—
108#4082—22no—
109#4082C2314yes—
110C2×#687—24no—
111C2×#687C2314yes—
112#4075—28no—
113C4×C22⋊D5—28no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×C4⋊Dic5D411yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683D411yescharacteristic
126C2×#683D411yescharacteristic
127C2×C4×Dic5—21no—
128C2×C4×Dic5—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5—21no—
131C2×C4×Dic5C2311yescharacteristic
132C2×C4×Dic5C2311yescharacteristic
133C22×#168C2311yescharacteristic
134C22×#168C2311yescharacteristic
135C2×Dic20—24no—
136C2×Dic20C2314yes—
137C2×#677—24no—
138C2×#677C2314yes—
139#4039—22no—
140#4039C2314yes—
141#4034—28no—
142#4034—22no—
143#4034—22no—
144#4034C2314yes—
145#4034C2314yes—
146#4033—28no—
147#4033—22no—
148#4033—22no—
149#4033—22no—
150#4033C2314yes—
151#4033C2314yes—
152#4033C2314yes—
153#4031—28no—
154#4029—28no—
155#4021—22no—
156#4021C2314yes—
157C4×Dic10—22no—
158C4×Dic10D414yes—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3948C2314yes—
169#3947C2314yes—
170#3946C2314yes—
171#3946C2314yes—
172C8×Dic5C2314yes—
173#3942C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3941C2314yes—
177#3941C2314yes—
178#3939C2314yes—
179#3935C2314yes—
180C2×#559—51no—
181C2×Q82—51no—
182#3375—516no—
183C2×#489—51no—
184C2×#489—51no—
185C2×#486—51no—
186C2×#477—51no—
187C2×#474—51no—
188C2×#474D511yescharacteristic, complemented
189C2×#464—51no—
190C2×#464—51no—
191C2×#460—51no—
192C2×#446—51no—
193C2×#440—51no—
194C2×#440—51no—
195C2×C4×Q16—51no—
196C24×C5—21no—
197C23×D5—21no—
198C2×C5×Q8—24no—
199C2×C5×Q8—82no—
200C2×C5×D4—21no—
201C2×C5×D4—22no—
202C2×C5×D4—22no—
203C2×C5×D4C2412yes—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—24no—
208C22×C4×C5—82no—
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2411yescharacteristic
212C2×C22⋊D5—24no—
213C2×C22⋊D5—24no—
214C2×C22⋊D5—44no—
215C2×C22⋊D5—82no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5C2×D411yescharacteristic
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C2×D20—22no—
224C2×D20—22no—
225C2×D20—21no—
226C2×D20C2412yes—
227C2×C4×D5—24no—
228C2×C4×D5—82no—
229C2×Dic10—21no—
230C2×Dic10—22no—
231C2×Dic10—24no—
232C2×Dic10—22no—
233C2×Dic10—22no—
234C2×Dic10—21no—
235C2×Dic10—24no—
236C2×Dic10—24no—
237C2×Dic10—82no—
238C2×Dic10—82no—
239C2×Dic10C2×D414yes—
240C2×Dic10#4114yes—
241C2×Dic10C2412yes—
242C2×Dic10C2412yes—
243C2×C5×C8—22no—
244C2×C5×C8—22no—
245C2×C5×C8C2412yes—
246C2×C5×C8C2412yes—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C42×C5C2×D412yes—
256C42×C5C2412yes—
257C22⋊Dic5—24no—
258C22⋊Dic5—24no—
259#687—28no—
260#685—24no—
261#685—24no—
262#685—24no—
263C4⋊Dic5—21no—
264C4⋊Dic5C2×D414yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683C2×D414yes—
273#683C2×D414yes—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2×D412yes—
280C4×Dic5C2412yes—
281C4×Dic5C2412yes—
282C2×#168—22no—
283C2×#168—22no—
284C2×#168C2412yes—
285C2×#168C2412yes—
286Dic20—28no—
287#677—28no—
288C22×Q16—51no—
289C22×SD16—51no—
290C22×SD16—51no—
291#559—58no—
292#559—104no—
293Q82—58no—
294Q82—104no—
295C2×C4⋊Q8—51no—
296C2×C4⋊Q8—51no—
297C2×C4⋊Q8—101no—
298C2×C4⋊Q8—101no—
299C2×C4⋊Q8—101no—
300C2×C4⋊Q8C2×D511yescharacteristic
301C2×#127—51no—
302C2×#124—51no—
303C2×#124—51no—
304C2×#124—101no—
305C2×#123—101no—
306C2×#123—101no—
307C2×C4×Q8—51no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8—101no—
313C2×C4×D4—51no—
314C2×C4×D4—101no—
315C2×C4×D4C2×D511yescharacteristic
316#489—58no—
317#489—58no—
318#486—58no—
319#477—58no—
320#474—58no—
321#474C2×D518yescomplemented
322#464—58no—
323#464—58no—
324#460—58no—
325#446—58no—
326#440—58no—
327#440—58no—
328C4×Q16—58no—
329C2×#107—51no—
330C2×#107C2×D511yescharacteristic
331C2×#107C2×D511yescharacteristic
332C2×C4⋊C8—51no—
333C2×C4⋊C8—51no—
334C2×C4⋊C8C2×D511yescharacteristic
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102C2×D511yescharacteristic
344C2×#102C2×D511yescharacteristic
345C2×#97—51no—
346C2×#97—51no—
347C2×C4×C8—51no—
348C23×C5—22no—
349C23×C5—42no—
350C23×C5—42no—
351C23×C5—42no—
352C23×C5C22×D411yescharacteristic
353C22×D5—22no—
354C22×D5—42no—
355C22×D5—42no—
356C22×D5—42no—
357C5×Q8—84no—
358C5×D4—22no—
359C5×D4—22no—
360C5×D4—42no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—84no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D411yescharacteristic
373C2×C4×C5C2×#4112yes—
374C2×C4×C52−1+412yes—
375C2×C4×C5C2511yescharacteristic
376C22⋊D5—48no—
377C22⋊D5—84no—
378C2×Dic5—24no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5#13714yes—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392D20—22no—
393D20—22no—
394D20—42no—
395C4×D5—84no—
396Dic10—24no—
397Dic10—22no—
398Dic10—28no—
399Dic10—22no—
400Dic10—22no—
401Dic10—42no—
402Dic10—84no—
403Dic10—84no—
404Dic10C2×#4114yes—
405C5×C8—22no—
406C5×C8—22no—
407#168—22no—
408#168—22no—
409C22×Q8—21no—
410C22×Q8—51no—
411C22×Q8—51no—
412C22×Q8—51no—
413C22×Q8—101no—
414C22×Q8—101no—
415C22×D4—51no—
416C22×D4—101no—
417C22×D4—101no—
418C22×D4C22×D511yescharacteristic
419C23×C4—21no—
420C23×C4—101no—
421C2×Q16—54no—
422C2×Q16—104no—
423C2×SD16—54no—
424C2×SD16—54no—
425C2×SD16—104no—
426C2×SD16—104no—
427C22×C8—51no—
428C22×C8—51no—
429C22×C8C22×D511yescharacteristic
430C22×C8C22×D511yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8—54no—
433C4⋊Q8—54no—
434C4⋊Q8—102no—
435C4⋊Q8—102no—
436C4⋊Q8—108no—
437C4⋊Q8—108no—
438C4⋊Q8—108no—
439C4⋊Q8C22×D514yes—
440#127—54no—
441#127—102no—
442#124—54no—
443#124—54no—
444#124—102no—
445#124—108no—
446#124—102no—
447#123—108no—
448#123—108no—
449C4×Q8—54no—
450C4×Q8—54no—
451C4×Q8—54no—
452C4×Q8—54no—
453C4×Q8—54no—
454C4×Q8—54no—
455C4×Q8—102no—
456C4×Q8—102no—
457C4×Q8—102no—
458C4×Q8—108no—
459C4×Q8—102no—
460C4×D4—22no—
461C4×D4—54no—
462C4×D4—102no—
463C4×D4—108no—
464C4×D4C22×D514yes—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—51no—
468C2×C4⋊C4—51no—
469C2×C4⋊C4—51no—
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⋊C4C22×D511yescharacteristic
477C2×C4⋊C4C22×D511yescharacteristic
478C2×C4⋊C4C22×D511yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C42—51no—
486C2×C42—51no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42—101no—
490C2×C42—101no—
491C2×C42C22×D511yescharacteristic
492#107—54no—
493#107C22×D514yes—
494#107C22×D514yes—
495C4⋊C8—54no—
496C4⋊C8—54no—
497C4⋊C8C22×D514yes—
498#103—54no—
499#103—54no—
500#103—54no—
501#103—54no—
502#102—54no—
503#102—54no—
504#102—54no—
505#102—54no—
506#102C22×D514yes—
507#102C22×D514yes—
508#97—54no—
509#97—54no—
510C4×C8—54no—
511C22×C5—42no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5—84no—
515C22×C5#54812yes—
516C22×C5C2×#13712yes—
517C22×C5#57612yes—
518C22×C5C23×D411yescharacteristic
519C2×D5—42no—
520C2×D5—42no—
521C2×D5—42no—
522C2×D5—84no—
523C4×C5—22no—
524C4×C5—22no—
525C4×C5—42no—
526C4×C5—42no—
527C4×C5—42no—
528C4×C5#54812yes—
529C4×C5C22×#4111yescharacteristic
530C4×C5C2×2−1+411yescharacteristic
531Dic5—24no—
532Dic5—22no—
533Dic5—22no—
534Dic5—22no—
535Dic5—42no—
536Dic5—42no—
537Dic5C2×#13714yes—
538C24—21no—
539C24—101no—
540C2×Q8—24no—
541C2×Q8—54no—
542C2×Q8—54no—
543C2×Q8—52no—
544C2×Q8—52no—
545C2×Q8—82no—
546C2×Q8—104no—
547C2×Q8—104no—
548C2×Q8—104no—
549C2×Q8—101no—
550C2×Q8—101no—
551C2×Q8—102no—
552C2×Q8—102no—
553C2×Q8—102no—
554C2×Q8—402no—
555C2×Q8—402no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—52no—
560C2×D4—104no—
561C2×D4—104no—
562C2×D4—101no—
563C2×D4—102no—
564C2×D4—102no—
565C2×D4—204no—
566C2×D4—402no—
567C2×D4C23×D512yes—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—24no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—82no—
577C22×C4—104no—
578C22×C4—101no—
579C22×C4—101no—
580C22×C4—101no—
581C22×C4—402no—
582C22×C4D4×D511yescharacteristic
583C22×C4D4×D511yescharacteristic
584C22×C4C23×D511yescharacteristic
585Q16—108no—
586SD16—108no—
587SD16—108no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—52no—
591C2×C8—52no—
592C2×C8—102no—
593C2×C8—102no—
594C2×C8C23×D512yes—
595C2×C8C23×D512yes—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—54no—
601C4⋊C4—54no—
602C4⋊C4—54no—
603C4⋊C4—52no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—101no—
610C4⋊C4—104no—
611C4⋊C4C23×D512yes—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C22⋊C4—24no—
615C22⋊C4—104no—
616C22⋊C4—104no—
617C22⋊C4—104no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C42—52no—
621C42—52no—
622C42—52no—
623C42—52no—
624C42—104no—
625C42—104no—
626C42—104no—
627C42—104no—
628C42D4×D512yes—
629C42C23×D512yes—
630C2×C5—82no—
631C2×C5#337514yescomplemented
632C2×C5C2×#54811yescharacteristic
633C2×C5C22×#13711yescharacteristic
634C2×C5C2×#57611yescharacteristic
635D5—82no—
636C23—22no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—102no—
641C23—202no—
642C23—202no—
643C23—202no—
644C23C2×D4×D511yescharacteristic
645Q8—54no—
646Q8—84no—
647Q8—108no—
648Q8—104no—
649Q8—102no—
650Q8—102no—
651Q8—102no—
652Q8—202no—
653Q8—404no—
654Q8—404no—
655D4—22no—
656D4—22no—
657D4—42no—
658D4—102no—
659D4—102no—
660D4—208no—
661D4—202no—
662D4—404no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—54no—
672C2×C4—52no—
673C2×C4—52no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—84no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—104no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—404no—
687C2×C4C2×D4×D512yes—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D511yescharacteristic
690C2×C4#414712yes—
691C2×C4D5×#4112yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—22no—
695C8—102no—
696C8—102no—
697C5C2×#337511yescharacteristic, complemented, Sylow
698C22—42no—
699C22—42no—
700C22—42no—
701C22—84no—
702C22—202no—
703C22—202no—
704C22—202no—
705C22—404no—
706C22#6596712yes—
707C22#6609112yes—
708C22D5×#13712yes—
709C22C22×D4×D511yescharacteristic
710C4—22no—
711C4—22no—
712C4—42no—
713C4—42no—
714C4—42no—
715C4—54no—
716C4—104no—
717C4—102no—
718C4—102no—
719C4—102no—
720C4—202no—
721C4—202no—
722C4#6596712yes—
723C4C2×#414711yescharacteristic
724C4C2×D5×#4111yescharacteristic
725C2—82no—
726C2—402no—
727C2#1061268714yesdirect product factor
728C2C2×#6596711yescharacteristic
729C2C2×#6609111yescharacteristic
730C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#474C2
socleC23×C5C22×D4
prime radicalC2×#4086C22
hypercenterC2×#474D5
hypocenterC5C2×#3375
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. C2×#66056C2semidirect
3. C2×C5×#474C2semidirect
4. C2×#65378C2semidirect
5. C2×#65307C2semidirect
6. #10612687C2direct (N × H)
7. C2×#65164C2semidirect
8. C2×#65179C2semidirect
9. C2×#65178C2semidirect
10. C2×#65162C2semidirect
11. C2×#65134C2semidirect
12. C2×#65117C2semidirect
13. C2×#65056C2semidirect
15. C2×#65054C2semidirect
29. #66056C22semidirect
45. C5×#474C22semidirect
58. #65378C22semidirect
59. #65307C22semidirect
67. #65179C22semidirect
68. #65178C22semidirect
69. #65164C22semidirect
70. #65162C22semidirect
71. #65134C22semidirect
72. #65117C22semidirect
73. #65056C22semidirect
74. #65054C22semidirect
188. C2×#474D5semidirect
321. #474C2×D5semidirect
631. C2×C5#3375semidirect
697. C5C2×#3375semidirect
727. C2#10612687direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660562
C2×#658932
C2×C5×#4742
C2×#653782
C2×#653072
#106126872
C2×#651642
C2×#651792
C2×#651782
C2×#651622
C2×#651342
C2×#651172
C2×#650562
C2×#650512
C2×#650542
C2×#650492
C2×#33755