Finite Group Databasebeta

← C2×#10613306 #12971482

Subgroups — C2×#10613306 #12971482

Order 1280.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66063C211yesmaximal, characteristic, complemented
2C2×#66053C211yesmaximal, characteristic
3C2×C5×#486C211yesmaximal, characteristic, complemented
4C2×#65369C211yesmaximal, characteristic, complemented
5C2×#65360C211yesmaximal, characteristic, complemented
6#10613306C2116yesmaximal, direct product factor
7C2×#65066C211yesmaximal, characteristic, complemented
8C2×#65073C211yesmaximal, characteristic, complemented
9C2×#65063C211yesmaximal, characteristic, complemented
10C2×#65068C211yesmaximal, characteristic, complemented
11C2×#65052C211yesmaximal, characteristic, complemented
12C2×#65055C211yesmaximal, characteristic, complemented
13C2×#65050C211yesmaximal, characteristic, complemented
14C2×#65048C211yesmaximal, characteristic, complemented
15C2×#64979C211yesmaximal, characteristic, complemented
16C2×#64972C211yesmaximal, characteristic, complemented
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×#127C2211yescharacteristic
19C2×#4092—21no—
20C2×#4090—21no—
21C2×#4085—21no—
22C2×#4085—21no—
23C2×#4084C2211yescharacteristic
24C2×#4084C2211yescharacteristic
25C2×#4081—21no—
26C2×#4081—21no—
27C2×D4×Dic5C2211yescharacteristic
28C2×D4×Dic5C2211yescharacteristic
29#66063—24no—
30#66063C2218yescomplemented
31#66053—24no—
32#66053C2218yes—
33C2×#4042—21no—
34C2×#4038C2211yescharacteristic
35C2×D5×C4⋊C4C2211yescharacteristic
36C2×#4036C2211yescharacteristic
37C2×#4035—21no—
38C2×#4034C2211yescharacteristic
39C2×#4018C2211yescharacteristic
40C2×#4016C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C5×#486C2218yescomplemented
43C2×C5×#102C2211yescharacteristic
44C2×C5×#102C2211yescharacteristic
45C2×C5×#102C2211yescharacteristic
46C2×C5×#102C2211yescharacteristic
47C2×C4×C5×C8C2211yescharacteristic
48C2×#3964C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×#3964C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3952C2211yescharacteristic
53C2×#3952C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3949C2211yescharacteristic
57C2×#3949C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59C2×#3946C2211yescharacteristic
60#65369C2218yescomplemented
61#65360C2218yescomplemented
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65073C2218yescomplemented
68#65068C2218yescomplemented
69#65066C2218yescomplemented
70#65063C2218yescomplemented
71#65055C2218yescomplemented
72#65052C2218yescomplemented
73#65050C2218yescomplemented
74#65048C2218yescomplemented
75#64979C2218yescomplemented
76#64972C2218yescomplemented
77C2×#3241—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×D4—21no—
80C22×C5×D4—21no—
81C22×C5×D4C2311yescharacteristic
82C22×C5×D4C2311yescharacteristic
83C22×C22⋊D5—21no—
84C22×C22⋊D5—21no—
85C23×Dic5—21no—
86C23×Dic5—21no—
87C22×C4×D5—21no—
88C22×C4×D5C2311yescharacteristic
89C22×Dic10—21no—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C5×#127—22no—
95C5×#127C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C42×C5C2311yescharacteristic
100C2×C22⋊Dic5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104#4092—28no—
105#4090—28no—
106#4085—28no—
107#4085—28no—
108#4084—22no—
109#4084—22no—
110#4084C2314yes—
111#4084C2314yes—
112#4081—28no—
113#4081—28no—
114D4×Dic5—22no—
115D4×Dic5—22no—
116D4×Dic5C2314yes—
117D4×Dic5C2314yes—
118C2×#685—21no—
119C2×#685D411yescharacteristic
120C2×#685D411yescharacteristic
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683D411yescharacteristic
134C2×#683D411yescharacteristic
135C2×C4×Dic5—21no—
136C2×C4×Dic5C2311yescharacteristic
137C22×#168C2311yescharacteristic
138C22×#168C2311yescharacteristic
139#4042—28no—
140#4038—22no—
141#4038C2314yes—
142D5×C4⋊C4—22no—
143D5×C4⋊C4C2314yes—
144#4036—22no—
145#4036C2314yes—
146#4035—28no—
147#4034—22no—
148#4034C2314yes—
149#4018D414yes—
150#4018C2314yes—
151#4016—22no—
152#4016—22no—
153#4016C2314yes—
154#4016C2314yes—
155C5×#102C2314yes—
156C5×#102C2314yes—
157C5×#102C2314yes—
158C5×#102C2314yes—
159C4×C5×C8C2314yes—
160#3964C2314yes—
161#3964C2314yes—
162#3964C2314yes—
163#3964C2314yes—
164#3952C2314yes—
165#3952C2314yes—
166#3950C2314yes—
167#3950C2314yes—
168#3949C2314yes—
169#3949C2314yes—
170#3946C2314yes—
171#3946C2314yes—
172#3940C2314yes—
173#3940C2314yes—
174#3939C2314yes—
175#3939C2314yes—
176#3935C2314yes—
177C2×#544—51no—
178C2×#540—51no—
179#3241—516no—
180C2×#501—51no—
181C2×#499—51no—
182C2×#490—51no—
183C2×#486D511yescharacteristic, complemented
184C2×#481—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#476—51no—
191C2×#474—51no—
192C2×#433—51no—
193C24×C5—21no—
194C24×C5—21no—
195C23×D5C2×D411yescharacteristic
196C2×C5×Q8—24no—
197C2×C5×Q8—82no—
198C2×C5×D4—21no—
199C2×C5×D4—21no—
200C2×C5×D4—24no—
201C2×C5×D4—24no—
202C2×C5×D4—22no—
203C2×C5×D4—22no—
204C2×C5×D4—22no—
205C2×C5×D4—22no—
206C2×C5×D4—82no—
207C2×C5×D4—82no—
208C2×C5×D4C2412yes—
209C2×C5×D4C2412yes—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2411yescharacteristic
215C2×C22⋊D5—24no—
216C2×C22⋊D5—24no—
217C2×C22⋊D5—82no—
218C2×C22⋊D5—82no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—24no—
224C22×Dic5—24no—
225C22×Dic5—82no—
226C22×Dic5—82no—
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C2×C4×D5—22no—
231C2×C4×D5—22no—
232C2×C4×D5—24no—
233C2×C4×D5—82no—
234C2×C4×D5C2×D412yes—
235C2×C4×D5C2412yes—
236C2×Dic10—24no—
237C2×Dic10—82no—
238C2×C5×C8—22no—
239C2×C5×C8—22no—
240C2×C5×C8C2412yes—
241C2×C5×C8C2412yes—
242C5×C4⋊C4—24no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C42×C5C2×D412yes—
248C42×C5C2412yes—
249C22⋊Dic5—24no—
250C22⋊Dic5—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5—24no—
253#685—24no—
254#685C2×D414yes—
255#685C2×D414yes—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—24no—
261C4⋊Dic5C2412yes—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265#683—24no—
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×Dic5C2×D412yes—
276C4×Dic5C2412yes—
277C2×#168—22no—
278C2×#168—22no—
279C2×#168C2412yes—
280C2×#168C2412yes—
281#544—58no—
282#544—104no—
283#540—58no—
284#540—104no—
285C2×C4⋊Q8—51no—
286C2×C4⋊Q8—101no—
287C2×C4⋊Q8C2×D511yescharacteristic
288C2×#127C2×D511yescharacteristic
289C2×#125—51no—
290C2×#125—51no—
291C2×#125—51no—
292C2×#125—101no—
293C2×#123—101no—
294C2×#123—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8—101no—
297C2×#121—51no—
298C2×#121—51no—
299C2×#121—101no—
300C2×#121—101no—
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C2×#117—51no—
304C2×#117—51no—
305C22×C4⋊C4—51no—
306#501—58no—
307#499—58no—
308#490—58no—
309#486C2×D518yescomplemented
310#482—58no—
311#482—58no—
312#481—58no—
313#480—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#474—58no—
318#433—58no—
319C2×#107—51no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#106—51no—
324C2×#106—51no—
325C2×#106—51no—
326C2×#106—51no—
327C2×C4⋊C8—51no—
328C2×C4⋊C8—51no—
329C2×#102—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102C2×D511yescharacteristic
334C2×#102C2×D511yescharacteristic
335C2×#102C2×D511yescharacteristic
336C2×#102C2×D511yescharacteristic
337C2×C22⋊C8—51no—
338C2×C22⋊C8—51no—
339C2×#97—51no—
340C2×C4×C8C2×D511yescharacteristic
341C23×C5—22no—
342C23×C5—22no—
343C23×C5—42no—
344C23×C5—42no—
345C23×C5—42no—
346C23×C5—42no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5C22×D411yescharacteristic
350C22×D5—22no—
351C22×D5—22no—
352C22×D5—22no—
353C22×D5C22×D412yes—
354C5×Q8—84no—
355C5×D4—22no—
356C5×D4—22no—
357C5×D4—22no—
358C5×D4—22no—
359C5×D4—42no—
360C5×D4—42no—
361C5×D4—84no—
362C5×D4—84no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5C22×D412yes—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D411yescharacteristic
372C2×C4×C52−1+412yes—
373C2×C4×C52−1+412yes—
374C2×C4×C5C2511yescharacteristic
375C22⋊D5—84no—
376C22⋊D5—84no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—84no—
389C2×Dic5—84no—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393C4×D5—24no—
394C4×D5—22no—
395C4×D5—22no—
396C4×D5—84no—
397Dic10—84no—
398C5×C8—22no—
399C5×C8—22no—
400#168—22no—
401#168—22no—
402C22×Q8—21no—
403C22×Q8—101no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—101no—
407C22×D4—101no—
408C22×D4C22×D511yescharacteristic
409C22×D4C22×D511yescharacteristic
410C23×C4—51no—
411C23×C4—101no—
412C23×C4—101no—
413C23×C4—101no—
414C22×C8—51no—
415C22×C8—51no—
416C22×C8C22×D511yescharacteristic
417C22×C8C22×D511yescharacteristic
418C4⋊Q8—22no—
419C4⋊Q8—54no—
420C4⋊Q8—102no—
421C4⋊Q8—108no—
422C4⋊Q8C22×D514yes—
423#127—22no—
424#127C22×D514yes—
425#125—54no—
426#125—54no—
427#125—54no—
428#125—102no—
429#125—108no—
430#125—102no—
431#125—102no—
432#123—108no—
433#123—108no—
434C22⋊Q8—108no—
435C22⋊Q8—108no—
436#121—54no—
437#121—54no—
438#121—108no—
439#121—108no—
440#121—102no—
441#121—102no—
442C4×D4—54no—
443C4×D4—54no—
444C4×D4—102no—
445C4×D4—102no—
446#117—54no—
447#117—54no—
448#117—54no—
449#117—102no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—102no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4C22×D511yescharacteristic
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C22⋊C4—51no—
470C2×C22⋊C4—51no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C42—51no—
477C2×C42—101no—
478C2×C42C22×D511yescharacteristic
479#107—54no—
480#107—54no—
481#107—54no—
482#107—54no—
483#106—54no—
484#106—54no—
485#106—54no—
486#106—54no—
487C4⋊C8—54no—
488C4⋊C8—54no—
489#102—54no—
490#102—54no—
491#102—54no—
492#102—54no—
493#102C22×D514yes—
494#102C22×D514yes—
495#102C22×D514yes—
496#102C22×D514yes—
497C22⋊C8—54no—
498C22⋊C8—54no—
499#97—54no—
500C4×C8C22×D514yes—
501C22×C5—42no—
502C22×C5—42no—
503C22×C5—42no—
504C22×C5—42no—
505C22×C5—42no—
506C22×C5—42no—
507C22×C5—84no—
508C22×C5—84no—
509C22×C5#53612yes—
510C22×C5#57612yes—
511C22×C5#57712yes—
512C22×C5C23×D411yescharacteristic
513C2×D5—22no—
514C2×D5—22no—
515C2×D5—22no—
516C2×D5—44no—
517C4×C5—22no—
518C4×C5—22no—
519C4×C5—42no—
520C4×C5—42no—
521C4×C5#53612yes—
522C4×C5C2×2−1+411yescharacteristic
523C4×C5C2×2−1+411yescharacteristic
524Dic5—22no—
525Dic5—22no—
526Dic5—22no—
527Dic5—42no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531C24—21no—
532C24—21no—
533C24—51no—
534C2×Q8—24no—
535C2×Q8—82no—
536C2×Q8—104no—
537C2×Q8—402no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—24no—
541C2×D4—24no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—82no—
547C2×D4—82no—
548C2×D4—104no—
549C2×D4—104no—
550C2×D4—402no—
551C2×D4—402no—
552C2×D4C23×D512yes—
553C2×D4C23×D512yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—51no—
559C22×C4—52no—
560C22×C4—52no—
561C22×C4—104no—
562C22×C4—104no—
563C22×C4—104no—
564C22×C4—102no—
565C22×C4—102no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—101no—
569C22×C4—101no—
570C22×C4—402no—
571C22×C4—402no—
572C22×C4—402no—
573C22×C4D4×D511yescharacteristic
574C22×C4D4×D511yescharacteristic
575C22×C4C23×D511yescharacteristic
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—52no—
579C2×C8—52no—
580C2×C8—102no—
581C2×C8—102no—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—24no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—54no—
588C4⋊C4—54no—
589C4⋊C4—52no—
590C4⋊C4—52no—
591C4⋊C4—52no—
592C4⋊C4—52no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—101no—
598C4⋊C4—101no—
599C4⋊C4—101no—
600C4⋊C4—101no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C22⋊C4—54no—
608C22⋊C4—54no—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C42—52no—
615C42—52no—
616C42—104no—
617C42D4×D512yes—
618C42C23×D512yes—
619C2×C5—82no—
620C2×C5—82no—
621C2×C5#324114yescomplemented
622C2×C5C2×#53611yescharacteristic
623C2×C5C2×#57611yescharacteristic
624C2×C5C2×#57711yescharacteristic
625D5—42no—
626C23—22no—
627C23—22no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—52no—
635C23—102no—
636C23—102no—
637C23—102no—
638C23C2×D4×D511yescharacteristic
639Q8—84no—
640Q8—404no—
641D4—22no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—42no—
646D4—42no—
647D4—84no—
648D4—84no—
649D4—404no—
650D4—404no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—52no—
658C2×C4—52no—
659C2×C4—52no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—104no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—202no—
671C2×C4—202no—
672C2×C4—202no—
673C2×C4—202no—
674C2×C4—404no—
675C2×C4—404no—
676C2×C4—404no—
677C2×C4C2×D4×D512yes—
678C2×C4C2×D4×D512yes—
679C2×C4C2×D4×D511yescharacteristic
680C2×C4#415012yes—
681C2×C4#415012yes—
682C2×C4C24×D511yescharacteristic
683C8—22no—
684C8—22no—
685C8—102no—
686C8—102no—
687C5C2×#324111yescharacteristic, complemented, Sylow
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—84no—
695C22—84no—
696C22—102no—
697C22—102no—
698C22—102no—
699C22—204no—
700C22#6600912yes—
701C22#6609112yes—
702C22#6609612yes—
703C22C22×D4×D511yescharacteristic
704C4—22no—
705C4—22no—
706C4—42no—
707C4—42no—
708C4—102no—
709C4—102no—
710C4—102no—
711C4—202no—
712C4—202no—
713C4—202no—
714C4—202no—
715C4#6600912yes—
716C4C2×#415011yescharacteristic
717C4C2×#415011yescharacteristic
718C2—82no—
719C2—82no—
720C2—202no—
721C2#1061330614yesdirect product factor
722C2C2×#6600911yescharacteristic
723C2C2×#6609111yescharacteristic
724C2C2×#6609611yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#486C2
socleC23×C5C22×D4
prime radicalC2×#66053C2
hypercenterC2×#486D5
hypocenterC5C2×#3241
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#486

Complements

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

NH ≅ G/Ntype
1. C2×#66063C2semidirect
3. C2×C5×#486C2semidirect
4. C2×#65369C2semidirect
5. C2×#65360C2semidirect
6. #10613306C2direct (N × H)
7. C2×#65066C2semidirect
8. C2×#65073C2semidirect
9. C2×#65063C2semidirect
10. C2×#65068C2semidirect
11. C2×#65052C2semidirect
12. C2×#65055C2semidirect
13. C2×#65050C2semidirect
14. C2×#65048C2semidirect
15. C2×#64979C2semidirect
16. C2×#64972C2semidirect
30. #66063C22semidirect
42. C5×#486C22semidirect
60. #65369C22semidirect
61. #65360C22semidirect
67. #65073C22semidirect
68. #65068C22semidirect
69. #65066C22semidirect
70. #65063C22semidirect
71. #65055C22semidirect
72. #65052C22semidirect
73. #65050C22semidirect
74. #65048C22semidirect
75. #64979C22semidirect
76. #64972C22semidirect
183. C2×#486D5semidirect
309. #486C2×D5semidirect
621. C2×C5#3241semidirect
687. C5C2×#3241semidirect
721. C2#10613306direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660632
C2×#660532
C2×C5×#4862
C2×#653692
C2×#653602
#106133062
C2×#650662
C2×#650732
C2×#650632
C2×#650682
C2×#650522
C2×#650552
C2×#650502
C2×#650482
C2×#649792
C2×#649722
C2×#32415