Finite Group Databasebeta

← C2×#10613406 #12979032

Subgroups — C2×#10613406 #12979032

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×#66015C211yesmaximal, characteristic
3C2×C5×#489C211yesmaximal, characteristic, complemented
4C2×#65376C211yesmaximal, characteristic, complemented
5C2×#65343C211yesmaximal, characteristic, complemented
6#10613406C2116yesmaximal, direct product factor
7C2×#65087C211yesmaximal, characteristic, complemented
8C2×#65084C211yesmaximal, characteristic, complemented
9C2×#65083C211yesmaximal, characteristic, complemented
10C2×#65079C211yesmaximal, characteristic, complemented
11C2×#65051C211yesmaximal, characteristic
12C2×#65049C211yesmaximal, characteristic
13C2×#65048C211yesmaximal, characteristic, complemented
14C2×#65046C211yesmaximal, characteristic, complemented
15C2×#64999C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×#124C2211yescharacteristic
19C2×#4093C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C2×#4090—21no—
22C2×#4090—21no—
23C22×#689C2211yescharacteristic
24C2×#4086C2211yescharacteristic
25C2×D4×Dic5C2211yescharacteristic
26C22×#687C2211yescharacteristic
27C22×#677C2211yescharacteristic
28#66056—24no—
29#66056C2218yescomplemented
30#66015—24no—
31#66015C2218yes—
32C2×#4034—21no—
33C2×#4034C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4033—21no—
36C2×#4033C2211yescharacteristic
37C2×#4033C2211yescharacteristic
38C2×#4032—21no—
39C2×#4031—21no—
40C2×#4029—21no—
41C2×#4027—21no—
42C2×C4×D20C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#489C2218yescomplemented
46C2×C5×#103C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#97C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3947C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59C2×C8×Dic5C2211yescharacteristic
60#65376C2218yescomplemented
61#65343C2218yescomplemented
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65087C2218yescomplemented
68#65084C2218yescomplemented
69#65083C2218yescomplemented
70#65079C2218yescomplemented
71#65051C2218yes—
72#65049C2218yes—
73#65048C2218yescomplemented
74#65046C2218yescomplemented
75#64999C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3375—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C23×Dic5—21no—
84C22×D20C2311yescharacteristic
85C22×C4×D5—21no—
86C22×Dic10—21no—
87C22×Dic10—21no—
88C22×Dic10D411yescharacteristic
89C22×Dic10C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C5×#124—22no—
95C5×#124C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103#4093—22no—
104#4093C2314yes—
105Q8×Dic5—22no—
106Q8×Dic5C2314yes—
107#4090—28no—
108#4090—28no—
109C2×#689—24no—
110C2×#689C2314yes—
111#4086—22no—
112#4086C2314yes—
113D4×Dic5—22no—
114D4×Dic5C2314yes—
115C2×#687—24no—
116C2×#687C2314yes—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5D411yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683D411yescharacteristic
130C2×#683D411yescharacteristic
131C2×C4×Dic5—21no—
132C2×C4×Dic5—21no—
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5C2311yescharacteristic
136C2×C4×Dic5C2311yescharacteristic
137C22×#168C2311yescharacteristic
138C22×#168C2311yescharacteristic
139C2×#677—24no—
140C2×#677C2314yes—
141#4034—28no—
142#4034—22no—
143#4034—22no—
144#4034C2314yes—
145#4034C2314yes—
146#4033—28no—
147#4033—22no—
148#4033—22no—
149#4033C2314yes—
150#4033C2314yes—
151#4032—28no—
152#4031—28no—
153#4029—28no—
154#4027—28no—
155C4×D20—22no—
156C4×D20C2314yes—
157C4×Dic10—22no—
158C4×Dic10D414yes—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×#103C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164C5×#102C2314yes—
165C5×#97C2314yes—
166#3967C2314yes—
167#3964C2314yes—
168#3953C2314yes—
169#3950C2314yes—
170#3948C2314yes—
171#3947C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174C8×Dic5C2314yes—
175#3941C2314yes—
176#3941C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179C4⋊#168C2314yes—
180C2×#559—51no—
181C2×Q82—51no—
182#3375—516no—
183C2×#489—51no—
184C2×#489D511yescharacteristic, complemented
185C2×#486—51no—
186C2×#477—51no—
187C2×#474—51no—
188C2×#474—51no—
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—21no—
199C2×C5×Q8—24no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8—82no—
203C2×C5×Q8C2412yes—
204C2×C5×D4—21no—
205C2×C5×D4—22no—
206C2×C5×D4—22no—
207C2×C5×D4C2412yes—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2411yescharacteristic
214C2×C22⋊D5—24no—
215C2×C22⋊D5—24no—
216C2×C22⋊D5—44no—
217C2×C22⋊D5—82no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—82no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×D20—22no—
228C2×D20—22no—
229C2×D20—21no—
230C2×D20C2412yes—
231C2×C4×D5—24no—
232C2×C4×D5—82no—
233C2×Dic10—21no—
234C2×Dic10—22no—
235C2×Dic10—24no—
236C2×Dic10—24no—
237C2×Dic10—24no—
238C2×Dic10—82no—
239C2×Dic10—82no—
240C2×Dic10C2×D414yes—
241C2×Dic10#4114yes—
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⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C5×C22⋊C4—24no—
253C5×C22⋊C4—24no—
254C42×C5C2×D412yes—
255C42×C5C2412yes—
256C22⋊Dic5—24no—
257#689—28no—
258#687—28no—
259#685—24no—
260#685—24no—
261#685—24no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5C2×D414yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683C2×D414yes—
274#683C2×D414yes—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5C2×D412yes—
280C4×Dic5C2×D412yes—
281C4×Dic5C2412yes—
282C4×Dic5C2412yes—
283C2×#168—22no—
284C2×#168—22no—
285C2×#168C2412yes—
286C2×#168C2412yes—
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—101no—
304C2×#124C2×D511yescharacteristic
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—51no—
315C2×C4×D4—101no—
316#489—58no—
317#489C2×D518yescomplemented
318#486—58no—
319#477—58no—
320#474—58no—
321#474—58no—
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×#107—51no—
331C2×#107—51no—
332C2×C4⋊C8—51no—
333C2×C4⋊C8—51no—
334C2×C4⋊C8—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103C2×D511yescharacteristic
338C2×#103C2×D511yescharacteristic
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102C2×D511yescharacteristic
344C2×#102C2×D511yescharacteristic
345C2×#97—51no—
346C2×#97C2×D511yescharacteristic
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—22no—
358C5×Q8—22no—
359C5×Q8—42no—
360C5×Q8—84no—
361C5×D4—22no—
362C5×D4—22no—
363C5×D4—42no—
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×C52−1+412yes—
377C2×C4×C5C2511yescharacteristic
378C22⋊D5—48no—
379C22⋊D5—84no—
380C2×Dic5—24no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5—84no—
390C2×Dic5#13714yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395D20—22no—
396D20—22no—
397D20—42no—
398C4×D5—84no—
399Dic10—24no—
400Dic10—22no—
401Dic10—28no—
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—101no—
413C22×Q8—101no—
414C22×Q8C22×D511yescharacteristic
415C22×D4—51no—
416C22×D4—101no—
417C22×D4—101no—
418C22×D4C22×D511yescharacteristic
419C23×C4—101no—
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—22no—
443#124—54no—
444#124—102no—
445#124—108no—
446#124C22×D514yes—
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—54no—
461C4×D4—54no—
462C4×D4—102no—
463C4×D4—108no—
464C4×D4—102no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—51no—
468C2×C4⋊C4—51no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
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⋊C4C22×D511yescharacteristic
478C2×C4⋊C4C22×D511yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
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#107—54no—
494#107—54no—
495C4⋊C8—54no—
496C4⋊C8—54no—
497C4⋊C8—54no—
498#103—54no—
499#103—54no—
500#103C22×D514yes—
501#103C22×D514yes—
502#102—54no—
503#102—54no—
504#102—54no—
505#102—54no—
506#102C22×D514yes—
507#102C22×D514yes—
508#97—54no—
509#97C22×D514yes—
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—21no—
541C2×Q8—24no—
542C2×Q8—22no—
543C2×Q8—22no—
544C2×Q8—54no—
545C2×Q8—54no—
546C2×Q8—52no—
547C2×Q8—82no—
548C2×Q8—104no—
549C2×Q8—104no—
550C2×Q8—104no—
551C2×Q8—101no—
552C2×Q8—102no—
553C2×Q8—402no—
554C2×Q8—402no—
555C2×Q8C23×D512yes—
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—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—104no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—101no—
579C22×C4—104no—
580C22×C4—402no—
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—54no—
600C4⋊C4—54no—
601C4⋊C4—54no—
602C4⋊C4—52no—
603C4⋊C4—52no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—101no—
610C4⋊C4—101no—
611C4⋊C4—104no—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
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—22no—
646Q8—22no—
647Q8—42no—
648Q8—54no—
649Q8—84no—
650Q8—108no—
651Q8—104no—
652Q8—102no—
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—102no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—104no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—202no—
684C2×C4—202no—
685C2×C4—404no—
686C2×C4—404no—
687C2×C4C2×D4×D512yes—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D511yescharacteristic
690C2×C4D5×#4112yes—
691C2×C4#415012yes—
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#6601112yes—
707C22#6610812yes—
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#6601112yes—
723C4C2×D5×#4111yescharacteristic
724C4C2×#415011yescharacteristic
725C2—82no—
726C2—402no—
727C2#1061340614yesdirect product factor
728C2C2×#6601111yescharacteristic
729C2C2×#6610811yescharacteristic
730C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#489C2
socleC23×C5C22×D4
prime radicalC2×#4086C22
hypercenterC2×#489D5
hypocenterC5C2×#3375
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#489

Complements

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

NH ≅ G/Ntype
1. C2×#66056C2semidirect
3. C2×C5×#489C2semidirect
4. C2×#65376C2semidirect
5. C2×#65343C2semidirect
6. #10613406C2direct (N × H)
7. C2×#65087C2semidirect
8. C2×#65084C2semidirect
9. C2×#65083C2semidirect
10. C2×#65079C2semidirect
13. C2×#65048C2semidirect
14. C2×#65046C2semidirect
15. C2×#64999C2semidirect
16. C2×#64990C2semidirect
29. #66056C22semidirect
45. C5×#489C22semidirect
60. #65376C22semidirect
61. #65343C22semidirect
67. #65087C22semidirect
68. #65084C22semidirect
69. #65083C22semidirect
70. #65079C22semidirect
73. #65048C22semidirect
74. #65046C22semidirect
75. #64999C22semidirect
76. #64990C22semidirect
184. C2×#489D5semidirect
317. #489C2×D5semidirect
631. C2×C5#3375semidirect
697. C5C2×#3375semidirect
727. C2#10613406direct (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×#660152
C2×C5×#4892
C2×#653762
C2×#653432
#106134062
C2×#650872
C2×#650842
C2×#650832
C2×#650792
C2×#650512
C2×#650492
C2×#650482
C2×#650462
C2×#649992
C2×#649902
C2×#33755