Finite Group Databasebeta

← C2×#10612563 #12977938

Subgroups — C2×#10612563 #12977938

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65975C211yesmaximal, characteristic, complemented
2C2×#65952C211yesmaximal, characteristic
3C2×C5×#468C211yesmaximal, characteristic, complemented
4C2×#65460C211yesmaximal, characteristic, complemented
5C2×#65453C211yesmaximal, characteristic, complemented
6C2×#65416C211yesmaximal, characteristic, complemented
7C2×#65410C211yesmaximal, characteristic, complemented
8C2×#65332C211yesmaximal, characteristic, complemented
9C2×#65324C211yesmaximal, characteristic, complemented
10#10612563C2116yesmaximal, direct product factor
11C2×#65169C211yesmaximal, characteristic, complemented
12C2×#65165C211yesmaximal, characteristic, complemented
13C2×#65104C211yesmaximal, characteristic, complemented
14C2×#65085C211yesmaximal, characteristic, complemented
15C2×#65073C211yesmaximal, characteristic, complemented
16C2×#65050C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C22×C5×M16C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×#121C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×#4085—21no—
24C2×#4084C2211yescharacteristic
25C2×D4×Dic5—21no—
26C2×D4×Dic5C2211yescharacteristic
27C2×C4×C22⋊D5C2211yescharacteristic
28C2×#4072C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C8×D5C2211yescharacteristic
31#65975—24no—
32#65975C2218yescomplemented
33#65952—24no—
34#65952C2218yes—
35C2×#4044—21no—
36C2×#4038C2211yescharacteristic
37C2×#4038C2211yescharacteristic
38C2×#4036C2211yescharacteristic
39C2×#4034C2211yescharacteristic
40C2×#4033—21no—
41C2×#4032—21no—
42C2×#4031—21no—
43C2×#4025—21no—
44C2×#4025—21no—
45C5×#468C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×C22⋊#168C2211yescharacteristic
54#65460C2218yescomplemented
55#65453C2218yescomplemented
56#65416C2218yescomplemented
57#65410C2218yescomplemented
58C2×#3952C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3947C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65#65332C2218yescomplemented
66#65324C2218yescomplemented
67C2×#3940C2211yescharacteristic
68C2×#3940C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65169C2218yescomplemented
72#65165C2218yescomplemented
73#65104C2218yescomplemented
74#65085C2218yescomplemented
75#65073C2218yescomplemented
76#65050C2218yescomplemented
77C2×#3350—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4—21no—
80C22×C5×D4C2311yescharacteristic
81C23×C4×C5C2311yescharacteristic
82C22×C22⋊D5—21no—
83C22×C22⋊D5D411yescharacteristic
84C23×Dic5—21no—
85C23×Dic5—21no—
86C22×C4×D5C2311yescharacteristic
87C22×Dic10—21no—
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C2×C5×M16—24no—
91C2×C5×M16C2314yes—
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×C22⋊Q8—22no—
95C5×C22⋊Q8C2314yes—
96C5×#121—22no—
97C5×#121C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5D411yescharacteristic
107#4092—22no—
108#4092C2314yes—
109Q8×Dic5—22no—
110Q8×Dic5C2314yes—
111#4085—28no—
112#4084—22no—
113#4084C2314yes—
114D4×Dic5—28no—
115D4×Dic5—22no—
116D4×Dic5C2314yes—
117C4×C22⋊D5D414yes—
118C4×C22⋊D5C2314yes—
119C2×#685—21no—
120C2×#685—21no—
121C2×#685—21no—
122C2×#685D411yescharacteristic
123#4072—22no—
124#4072C2314yes—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—22no—
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5—21no—
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131C2×C4⋊Dic5C2311yescharacteristic
132C2×C4⋊Dic5C2311yescharacteristic
133C2×C4⋊Dic5C2314yes—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683D411yescharacteristic
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5—21no—
141C2×C4×Dic5—21no—
142C2×C4×Dic5C2311yescharacteristic
143C22×#168C2311yescharacteristic
144C22×#168C2311yescharacteristic
145C2×C8×D5—24no—
146C2×C8×D5C2314yes—
147#4044—28no—
148#4038—22no—
149#4038—22no—
150#4038C2314yes—
151#4038C2314yes—
152#4036—22no—
153#4036C2314yes—
154#4034—22no—
155#4034C2314yes—
156#4033—28no—
157#4032—28no—
158#4031—28no—
159#4025—28no—
160#4025—28no—
161C5×#107C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164#3967C2314yes—
165#3967C2314yes—
166#3964C2314yes—
167#3964C2314yes—
168C22⋊#168C2314yes—
169#3952C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3947C2314yes—
175#3946C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3939C2314yes—
180C2×#556—51no—
181C2×#553—51no—
182#3350—516no—
183C2×#501—51no—
184C2×#485—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#476—51no—
190C2×#468D511yescharacteristic, complemented
191C2×#465—51no—
192C2×#440—51no—
193C2×#435—51no—
194C2×#428—51no—
195C2×#427—51no—
196C24×C5—21no—
197C24×C5C2×D411yescharacteristic
198C23×D5C2×D411yescharacteristic
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8C2412yes—
203C2×C5×D4—24no—
204C2×C5×D4—21no—
205C2×C5×D4—22no—
206C2×C5×D4—22no—
207C2×C5×D4—44no—
208C2×C5×D4C2412yes—
209C22×C4×C5—22no—
210C22×C4×C5—22no—
211C22×C4×C5—21no—
212C22×C4×C5—21no—
213C22×C4×C5—21no—
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2×D412yes—
216C22×C4×C5C2412yes—
217C22×C4×C5C2411yescharacteristic
218C2×C22⋊D5—24no—
219C2×C22⋊D5—42no—
220C2×C22⋊D5—82no—
221C2×C22⋊D5C2×D414yes—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—21no—
226C22×Dic5—24no—
227C22×Dic5—24no—
228C22×Dic5—82no—
229C22×Dic5—82no—
230C22×Dic5C2×D411yescharacteristic
231C22×Dic5C2×D411yescharacteristic
232C22×Dic5C2×D411yescharacteristic
233C2×C4×D5—22no—
234C2×C4×D5—22no—
235C2×C4×D5C2×D412yes—
236C2×C4×D5C2412yes—
237C2×Dic10—24no—
238C2×Dic10—44no—
239C5×SD16—28no—
240C5×M16—28no—
241C2×C5×C8—22no—
242C2×C5×C8#4114yes—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C22⋊C4—24no—
251C5×C22⋊C4—24no—
252C22⋊Dic5—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5C2×D414yes—
256#685—24no—
257#685—24no—
258#685—24no—
259#685C2×D414yes—
260C4⋊Dic5—24no—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5C2×D412yes—
280C4×Dic5C2412yes—
281C2×#168—22no—
282C2×#168—22no—
283C2×#168C2412yes—
284C2×#168C2412yes—
285C8×D5—28no—
286C22×SD16C2×D511yescharacteristic
287C22×M16C2×D511yescharacteristic
288C23×C8—51no—
289#556—58no—
290#556—104no—
291#553—58no—
292#553—104no—
293C2×C4⋊Q8—51no—
294C2×#126—101no—
295C2×#126—101no—
296C2×#126—101no—
297C2×#125—51no—
298C2×#124—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8C2×D511yescharacteristic
302C2×#121—51no—
303C2×#121—101no—
304C2×#121C2×D511yescharacteristic
305C2×C4×Q8—51no—
306C2×C4×Q8—101no—
307C2×C4×D4—51no—
308C2×C4×D4—51no—
309C2×C4×D4—101no—
310C2×#117—51no—
311C2×#117—51no—
312C2×#117—51no—
313C22×C4⋊C4—51no—
314#501—58no—
315#485—58no—
316#483—58no—
317#482—58no—
318#482—58no—
319#479—58no—
320#476—58no—
321#468C2×D518yescomplemented
322#465—58no—
323#440—58no—
324#435—58no—
325#428—58no—
326#427—58no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—51no—
330C2×#107C2×D511yescharacteristic
331C2×#106—51no—
332C2×#106—51no—
333C2×#106—51no—
334C2×#106—51no—
335C2×#106—51no—
336C2×C4⋊C8—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103C2×D511yescharacteristic
340C2×#102—51no—
341C2×#102—51no—
342C2×#102C2×D511yescharacteristic
343C2×C22⋊C8—51no—
344C2×C22⋊C8—51no—
345C2×#97—51no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5—22no—
350C23×C5—42no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5C22×D412yes—
354C23×C5C22×D411yescharacteristic
355C22×D5—22no—
356C22×D5—22no—
357C22×D5—22no—
358C22×D5C22×D412yes—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—42no—
362C5×D4—22no—
363C5×D4—22no—
364C5×D4—48no—
365C5×D4—42no—
366C2×C4×C5—22no—
367C2×C4×C5—24no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—42no—
374C2×C4×C5—42no—
375C2×C4×C5—42no—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D411yescharacteristic
378C2×C4×C5C2×#4112yes—
379C2×C4×C52−1+412yes—
380C2×C4×C5C2511yescharacteristic
381C22⋊D5—44no—
382C22⋊D5—84no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—84no—
395C2×Dic5—84no—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C2×Dic5C22×D412yes—
399C4×D5—24no—
400C4×D5—22no—
401C4×D5—22no—
402Dic10—48no—
403C5×C8—22no—
404C5×C8C2×#4114yes—
405#168—22no—
406#168—22no—
407C22×Q8—101no—
408C22×Q8C22×D511yescharacteristic
409C22×D4—21no—
410C22×D4—51no—
411C22×D4—101no—
412C22×D4C22×D511yescharacteristic
413C23×C4—51no—
414C23×C4—101no—
415C23×C4—101no—
416C23×C4C22×D511yescharacteristic
417C2×SD16—24no—
418C2×SD16C22×D514yes—
419C2×M16—24no—
420C2×M16C22×D514yes—
421C22×C8—51no—
422C22×C8—51no—
423C22×C8—54no—
424C22×C8—104no—
425C22×C8C22×D511yescharacteristic
426C22×C8C22×D511yescharacteristic
427C4⋊Q8—54no—
428C4⋊Q8—102no—
429#126—108no—
430#126—108no—
431#126—108no—
432#125—54no—
433#125—102no—
434#124—108no—
435#123—108no—
436C22⋊Q8—22no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8C22×D514yes—
440#121—22no—
441#121—54no—
442#121—102no—
443#121—108no—
444#121C22×D514yes—
445C4×Q8—54no—
446C4×Q8—102no—
447C4×Q8—108no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—54no—
451C4×D4—102no—
452C4×D4—108no—
453#117—54no—
454#117—54no—
455#117—54no—
456#117—102no—
457#117—102no—
458#117—102no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—102no—
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—51no—
478C2×C22⋊C4—51no—
479C2×C22⋊C4—101no—
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—101no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42—101no—
490#107—54no—
491#107—54no—
492#107—54no—
493#107C22×D514yes—
494#106—54no—
495#106—54no—
496#106—54no—
497#106—54no—
498#106—54no—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103C22×D514yes—
503#102—54no—
504#102—54no—
505#102C22×D514yes—
506C22⋊C8—54no—
507C22⋊C8—54no—
508#97—54no—
509C22×C5—22no—
510C22×C5—22no—
511C22×C5—22no—
512C22×C5—44no—
513C22×C5—42no—
514C22×C5—42no—
515C22×C5—42no—
516C22×C5—84no—
517C22×C5#54712yes—
518C22×C5#57512yes—
519C22×C5#57712yes—
520C22×C5C23×D411yescharacteristic
521C2×D5—22no—
522C2×D5—22no—
523C2×D5—22no—
524C2×D5—44no—
525C4×C5—22no—
526C4×C5—42no—
527C4×C5—42no—
528C4×C5—42no—
529C4×C5#54712yes—
530C4×C5C22×#4111yescharacteristic
531C4×C5C2×2−1+411yescharacteristic
532Dic5—22no—
533Dic5—22no—
534Dic5—22no—
535Dic5—42no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—21no—
540C24—51no—
541C24D4×D511yescharacteristic
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8—104no—
546C2×Q8—204no—
547C2×Q8C23×D512yes—
548C2×D4—24no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—44no—
553C2×D4—54no—
554C2×D4—104no—
555C2×D4—202no—
556C2×D4—402no—
557C2×D4C23×D512yes—
558C22×C4—22no—
559C22×C4—22no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—51no—
564C22×C4—51no—
565C22×C4—51no—
566C22×C4—52no—
567C22×C4—52no—
568C22×C4—104no—
569C22×C4—102no—
570C22×C4—102no—
571C22×C4—101no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—104no—
576C22×C4—402no—
577C22×C4—402no—
578C22×C4D4×D512yes—
579C22×C4D4×D511yescharacteristic
580C22×C4C23×D512yes—
581C22×C4C23×D511yescharacteristic
582SD16—28no—
583M16—28no—
584C2×C8—22no—
585C2×C8—52no—
586C2×C8—52no—
587C2×C8—102no—
588C2×C8—102no—
589C2×C8—108no—
590C2×C8#71114yes—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—54no—
597C4⋊C4—52no—
598C4⋊C4—52no—
599C4⋊C4—52no—
600C4⋊C4—52no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—104no—
609C4⋊C4—101no—
610C4⋊C4—101no—
611C4⋊C4C23×D512yes—
612C4⋊C4C23×D512yes—
613C22⋊C4—24no—
614C22⋊C4—24no—
615C22⋊C4—54no—
616C22⋊C4—54no—
617C22⋊C4—104no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C42—52no—
624C42—52no—
625C42—104no—
626C42—104no—
627C42—104no—
628C42—104no—
629C2×C5—42no—
630C2×C5—82no—
631C2×C5#335014yescomplemented
632C2×C5C2×#54711yescharacteristic
633C2×C5C2×#57511yescharacteristic
634C2×C5C2×#57711yescharacteristic
635D5—42no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—52no—
644C23—102no—
645C23—102no—
646C23—102no—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652Q8—208no—
653D4—22no—
654D4—22no—
655D4—48no—
656D4—42no—
657D4—204no—
658D4—404no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—52no—
670C2×C4—52no—
671C2×C4—52no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—104no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—202no—
683C2×C4—202no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—404no—
687C2×C4—404no—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D511yescharacteristic
690C2×C4C2×#71112yes—
691C2×C4#415012yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—102no—
695C8—102no—
696C8C2×#71114yes—
697C5C2×#335011yescharacteristic, complemented, Sylow
698C22—22no—
699C22—22no—
700C22—22no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—84no—
706C22—102no—
707C22—102no—
708C22—102no—
709C22—204no—
710C22#6594512yes—
711C22#6610712yes—
712C22#6611212yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—102no—
719C4—102no—
720C4—102no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6594512yes—
726C4C22×#71111yescharacteristic
727C4C2×#415011yescharacteristic
728C2—42no—
729C2—82no—
730C2—202no—
731C2#1061256314yesdirect product factor
732C2C2×#6594511yescharacteristic
733C2C2×#6610711yescharacteristic
734C2C2×#6611211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#468C2
socleC23×C5C22×D4
prime radicalC2×#65952C2
hypercenterC2×#468D5
hypocenterC5C2×#3350
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#468

Complements

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

NH ≅ G/Ntype
1. C2×#65975C2semidirect
3. C2×C5×#468C2semidirect
4. C2×#65460C2semidirect
5. C2×#65453C2semidirect
6. C2×#65416C2semidirect
7. C2×#65410C2semidirect
8. C2×#65332C2semidirect
9. C2×#65324C2semidirect
10. #10612563C2direct (N × H)
11. C2×#65169C2semidirect
12. C2×#65165C2semidirect
13. C2×#65104C2semidirect
14. C2×#65085C2semidirect
15. C2×#65073C2semidirect
16. C2×#65050C2semidirect
32. #65975C22semidirect
45. C5×#468C22semidirect
54. #65460C22semidirect
55. #65453C22semidirect
56. #65416C22semidirect
57. #65410C22semidirect
65. #65332C22semidirect
66. #65324C22semidirect
71. #65169C22semidirect
72. #65165C22semidirect
73. #65104C22semidirect
74. #65085C22semidirect
75. #65073C22semidirect
76. #65050C22semidirect
190. C2×#468D5semidirect
321. #468C2×D5semidirect
631. C2×C5#3350semidirect
697. C5C2×#3350semidirect
731. C2#10612563direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659752
C2×#659522
C2×C5×#4682
C2×#654602
C2×#654532
C2×#654162
C2×#654102
C2×#653322
C2×#653242
#106125632
C2×#651692
C2×#651652
C2×#651042
C2×#650852
C2×#650732
C2×#650502
C2×#33505