Finite Group Databasebeta

← C2×#10611096 #12971539

Subgroups — C2×#10611096 #12971539

Order 1280.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65868C211yesmaximal, characteristic
2C2×#65853C211yesmaximal, characteristic, complemented
3C2×C5×#433C211yesmaximal, characteristic, complemented
4#10611096C2116yesmaximal, direct product factor
5C2×#65118C211yesmaximal, characteristic, complemented
6C2×#65140C211yesmaximal, characteristic, complemented
7C2×#65136C211yesmaximal, characteristic, complemented
8C2×#65131C211yesmaximal, characteristic, complemented
9C2×#65024C211yesmaximal, characteristic
10C2×#65012C211yesmaximal, characteristic, complemented
11C2×#65026C211yesmaximal, characteristic
12C2×#65010C211yesmaximal, characteristic, complemented
13C2×#65003C211yesmaximal, characteristic, complemented
14C2×#64991C211yesmaximal, characteristic, complemented
15C2×#64986C211yesmaximal, characteristic, complemented
16C2×#64969C211yesmaximal, characteristic, complemented
17C2×C5×#117C2211yescharacteristic
18C2×#4076C2211yescharacteristic
19C2×#4072C2211yescharacteristic
20C22×C4⋊Dic5C2211yescharacteristic
21C2×#4070C2211yescharacteristic
22#65868—24no—
23#65868C2218yes—
24#65853—24no—
25#65853C2218yescomplemented
26C2×#4044—21no—
27C2×#4042—21no—
28C2×#4036—21no—
29C2×#4034—21no—
30C2×#4031—21no—
31C2×#4029—21no—
32C2×#4024—21no—
33C2×#4024—21no—
34C2×#4021C2211yescharacteristic
35C2×C4×D20C2211yescharacteristic
36C2×#4016C2211yescharacteristic
37C2×#4016C2211yescharacteristic
38C2×#4015C2211yescharacteristic
39C2×#4015C2211yescharacteristic
40C2×#4015C2211yescharacteristic
41C2×C4×Dic10C2211yescharacteristic
42C5×#433C2218yescomplemented
43C2×C5×C4⋊C8C2211yescharacteristic
44C2×C5×C4⋊C8C2211yescharacteristic
45C2×C5×C22⋊C8C2211yescharacteristic
46C2×C5×C22⋊C8C2211yescharacteristic
47C2×C5×#97C2211yescharacteristic
48C2×C4×C5×C8C2211yescharacteristic
49C2×#3953C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3950C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3949C2211yescharacteristic
56C2×#3949C2211yescharacteristic
57C2×#3949C2211yescharacteristic
58C2×#3949C2211yescharacteristic
59C2×#3949C2211yescharacteristic
60C2×#3949C2211yescharacteristic
61C2×#3948C2211yescharacteristic
62C2×#3948C2211yescharacteristic
63C2×#3948C2211yescharacteristic
64C2×#3948C2211yescharacteristic
65#65140C2218yescomplemented
66#65136C2218yescomplemented
67#65131C2218yescomplemented
68#65118C2218yescomplemented
69#65026C2218yes—
70#65024C2218yes—
71#65012C2218yescomplemented
72#65010C2218yescomplemented
73#65003C2218yescomplemented
74#64991C2218yescomplemented
75#64986C2218yescomplemented
76#64969C2218yescomplemented
77C2×#3244—51nomaximal, Sylow
78C23×C4×C5C2311yescharacteristic
79C22×C22⋊D5—21no—
80C23×Dic5—21no—
81C22×D20C2311yescharacteristic
82C22×C4×D5—21no—
83C22×Dic10—21no—
84C22×Dic10—21no—
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×#117D414yes—
92C5×#117C2314yes—
93C2×C5×C4⋊C4D411yescharacteristic
94C2×C5×C4⋊C4D411yescharacteristic
95C2×C5×C22⋊C4D411yescharacteristic
96C2×C5×C22⋊C4D411yescharacteristic
97C2×C42×C5C2311yescharacteristic
98C2×C42×C5C2311yescharacteristic
99C2×C22⋊Dic5—21no—
100C2×C22⋊Dic5—21no—
101#4076—22no—
102#4076C2314yes—
103C2×#685—21no—
104C2×#685—21no—
105C2×#685—21no—
106C2×#685—21no—
107#4072—22no—
108#4072C2314yes—
109C2×C4⋊Dic5—21no—
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5—22no—
114C2×C4⋊Dic5C2314yes—
115C2×C4⋊Dic5C2311yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×C4⋊Dic5C2311yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121#4070—22no—
122#4070C2314yes—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5—21no—
131#4044—28no—
132#4042—28no—
133#4036—28no—
134#4034—28no—
135#4031—28no—
136#4029—28no—
137#4024—28no—
138#4024—28no—
139#4021—22no—
140#4021C2314yes—
141C4×D20—22no—
142C4×D20C2314yes—
143#4016—22no—
144#4016—22no—
145#4016C2314yes—
146#4016C2314yes—
147#4015—22no—
148#4015—22no—
149#4015—22no—
150#4015C2314yes—
151#4015C2314yes—
152#4015C2314yes—
153C4×Dic10—22no—
154C4×Dic10C2314yes—
155C5×C4⋊C8C2314yes—
156C5×C4⋊C8C2314yes—
157C5×C22⋊C8C2314yes—
158C5×C22⋊C8C2314yes—
159C5×#97C2314yes—
160C4×C5×C8C2314yes—
161#3953C2314yes—
162#3953C2314yes—
163#3953C2314yes—
164#3953C2314yes—
165#3950C2314yes—
166#3950C2314yes—
167#3949C2314yes—
168#3949C2314yes—
169#3949C2314yes—
170#3949C2314yes—
171#3949C2314yes—
172#3949C2314yes—
173#3948C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3948C2314yes—
177C2×#544—51no—
178C2×#542—51no—
179#3244—516no—
180C2×#501—51no—
181C2×#498—51no—
182C2×#489—51no—
183C2×#488—51no—
184C2×#481—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#483—51no—
188C2×#479—51no—
189C2×#475—51no—
190C2×#478—51no—
191C2×#476—51no—
192C2×#433D511yescharacteristic, complemented
193C24×C5C2×D411yescharacteristic
194C23×D5—21no—
195C22×C4×C5—22no—
196C22×C4×C5—22no—
197C22×C4×C5C2×D411yescharacteristic
198C22×C4×C5C2×D411yescharacteristic
199C22×C4×C5C2×D411yescharacteristic
200C22×C4×C5C2×D411yescharacteristic
201C22×C4×C5C2×D411yescharacteristic
202C22×C4×C5C2×D412yes—
203C22×C4×C5C2412yes—
204C22×C4×C5C2411yescharacteristic
205C2×C22⋊D5—24no—
206C2×C22⋊D5—82no—
207C22×Dic5—21no—
208C22×Dic5—21no—
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5—24no—
215C22×Dic5—82no—
216C2×D20—22no—
217C2×D20—22no—
218C2×D20—21no—
219C2×D20C2412yes—
220C2×C4×D5—24no—
221C2×C4×D5—82no—
222C2×Dic10—22no—
223C2×Dic10—22no—
224C2×Dic10—21no—
225C2×Dic10—24no—
226C2×Dic10—24no—
227C2×Dic10—24no—
228C2×Dic10—82no—
229C2×Dic10—82no—
230C2×Dic10—82no—
231C2×Dic10C2412yes—
232C2×C5×C8—22no—
233C2×C5×C8—22no—
234C2×C5×C8—22no—
235C2×C5×C8—22no—
236C2×C5×C8C2412yes—
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C2×C5×C8C2412yes—
240C5×C4⋊C4C2×D414yes—
241C5×C4⋊C4C2×D414yes—
242C5×C22⋊C4C2×D414yes—
243C5×C22⋊C4C2×D414yes—
244C42×C5C2×D412yes—
245C42×C5C2×D412yes—
246C42×C5C2412yes—
247C42×C5C2412yes—
248C22⋊Dic5—24no—
249C22⋊Dic5—24no—
250#685—24no—
251#685—24no—
252#685—24no—
253#685—24no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5—21no—
263C4⋊Dic5—24no—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278#544—58no—
279#544—104no—
280#542—58no—
281#542—104no—
282C2×C4⋊Q8—51no—
283C2×C4⋊Q8—51no—
284C2×C4⋊Q8—51no—
285C2×C4⋊Q8—101no—
286C2×#126—101no—
287C2×#125—51no—
288C2×#125—51no—
289C2×#125—101no—
290C2×#124—51no—
291C2×#124—101no—
292C2×#123—101no—
293C2×C22⋊Q8—51no—
294C2×C22⋊Q8—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8—101no—
297C2×#121—51no—
298C2×C4×Q8—51no—
299C2×C4×D4—51no—
300C2×#117—51no—
301C2×#117C2×D511yescharacteristic
302C22×C4⋊C4—51no—
303#501—58no—
304#498—58no—
305#489—58no—
306#488—58no—
307#485—58no—
308#483—58no—
309#482—58no—
310#481—58no—
311#479—58no—
312#478—58no—
313#476—58no—
314#475—58no—
315#433C2×D518yescomplemented
316C2×#107—51no—
317C2×#107—51no—
318C2×#106—51no—
319C2×#106—51no—
320C2×#106—51no—
321C2×#106—51no—
322C2×#106—51no—
323C2×#106—51no—
324C2×C4⋊C8C2×D511yescharacteristic
325C2×C4⋊C8C2×D511yescharacteristic
326C2×#103—51no—
327C2×#103—51no—
328C2×#103—51no—
329C2×#103—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×C22⋊C8C2×D511yescharacteristic
335C2×C22⋊C8C2×D511yescharacteristic
336C2×#97C2×D511yescharacteristic
337C2×C4×C8C2×D511yescharacteristic
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5C22×D412yes—
342C23×C5C22×D411yescharacteristic
343C22×D5—22no—
344C22×D5—42no—
345C22×D5—42no—
346C22×D5—42no—
347C2×C4×C5—22no—
348C2×C4×C5—22no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—24no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5C22×D412yes—
356C2×C4×C5C22×D412yes—
357C2×C4×C5C22×D412yes—
358C2×C4×C5C22×D412yes—
359C2×C4×C5C22×D412yes—
360C2×C4×C5C22×D411yescharacteristic
361C2×C4×C52−1+412yes—
362C2×C4×C52−1+412yes—
363C2×C4×C5C2511yescharacteristic
364C22⋊D5—84no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—42no—
373C2×Dic5—42no—
374C2×Dic5—42no—
375C2×Dic5—42no—
376C2×Dic5—42no—
377C2×Dic5—42no—
378C2×Dic5—42no—
379C2×Dic5—84no—
380D20—22no—
381D20—22no—
382D20—42no—
383C4×D5—84no—
384Dic10—22no—
385Dic10—22no—
386Dic10—42no—
387Dic10—84no—
388Dic10—84no—
389Dic10—84no—
390C5×C8—22no—
391C5×C8—22no—
392C5×C8—22no—
393C5×C8—22no—
394C22×Q8—51no—
395C22×Q8—101no—
396C22×Q8—101no—
397C22×Q8—101no—
398C22×D4—51no—
399C22×D4—101no—
400C23×C4—101no—
401C23×C4—101no—
402C23×C4C22×D511yescharacteristic
403C22×C8C22×D511yescharacteristic
404C22×C8C22×D511yescharacteristic
405C22×C8C22×D511yescharacteristic
406C22×C8C22×D511yescharacteristic
407C4⋊Q8—54no—
408C4⋊Q8—54no—
409C4⋊Q8—54no—
410C4⋊Q8—108no—
411C4⋊Q8—102no—
412C4⋊Q8—102no—
413C4⋊Q8—102no—
414#126—108no—
415#125—54no—
416#125—54no—
417#125—108no—
418#125—102no—
419#125—102no—
420#124—54no—
421#124—108no—
422#124—102no—
423#123—108no—
424C22⋊Q8—54no—
425C22⋊Q8—102no—
426C22⋊Q8—108no—
427C22⋊Q8—108no—
428C22⋊Q8—108no—
429#121—54no—
430#121—102no—
431C4×Q8—54no—
432C4×Q8—102no—
433C4×D4—54no—
434C4×D4—102no—
435#117—54no—
436#117—102no—
437#117D2014yes—
438#117C22×D514yes—
439C2×C4⋊C4—51no—
440C2×C4⋊C4—51no—
441C2×C4⋊C4—54no—
442C2×C4⋊C4—51no—
443C2×C4⋊C4—51no—
444C2×C4⋊C4—51no—
445C2×C4⋊C4—51no—
446C2×C4⋊C4—101no—
447C2×C4⋊C4—102no—
448C2×C4⋊C4—101no—
449C2×C4⋊C4—101no—
450C2×C4⋊C4—101no—
451C2×C4⋊C4—101no—
452C2×C4⋊C4—101no—
453C2×C4⋊C4—101no—
454C2×C4⋊C4—101no—
455C2×C4⋊C4—101no—
456C2×C4⋊C4—101no—
457C2×C4⋊C4D2011yescharacteristic
458C2×C4⋊C4D2011yescharacteristic
459C2×C22⋊C4—101no—
460C2×C22⋊C4—101no—
461C2×C22⋊C4—101no—
462C2×C22⋊C4—101no—
463C2×C22⋊C4—101no—
464C2×C22⋊C4—101no—
465C2×C22⋊C4D2011yescharacteristic
466C2×C22⋊C4D2011yescharacteristic
467C2×C42—101no—
468C2×C42—101no—
469C2×C42C22×D511yescharacteristic
470C2×C42C22×D511yescharacteristic
471#107—54no—
472#107—54no—
473#106—54no—
474#106—54no—
475#106—54no—
476#106—54no—
477#106—54no—
478#106—54no—
479C4⋊C8C22×D514yes—
480C4⋊C8C22×D514yes—
481#103—54no—
482#103—54no—
483#103—54no—
484#103—54no—
485#102—54no—
486#102—54no—
487#102—54no—
488#102—54no—
489C22⋊C8C22×D514yes—
490C22⋊C8C22×D514yes—
491#97C22×D514yes—
492C4×C8C22×D514yes—
493C22×C5—22no—
494C22×C5—22no—
495C22×C5—22no—
496C22×C5—44no—
497C22×C5#53612yes—
498C22×C5#57712yes—
499C22×C5#57712yes—
500C22×C5C23×D411yescharacteristic
501C2×D5—42no—
502C2×D5—42no—
503C2×D5—42no—
504C2×D5—84no—
505C4×C5—22no—
506C4×C5—22no—
507C4×C5—22no—
508C4×C5—22no—
509C4×C5—22no—
510C4×C5#53612yes—
511C4×C5C2×2−1+411yescharacteristic
512C4×C5C2×2−1+411yescharacteristic
513Dic5—42no—
514Dic5—42no—
515Dic5—42no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5—42no—
520C24—101no—
521C24C2×D2011yescharacteristic
522C2×Q8—52no—
523C2×Q8—101no—
524C2×Q8—104no—
525C2×Q8—104no—
526C2×Q8—104no—
527C2×Q8—102no—
528C2×Q8—102no—
529C2×Q8—402no—
530C2×Q8—402no—
531C2×Q8—402no—
532C2×D4—52no—
533C2×D4—104no—
534C2×D4—101no—
535C2×D4—102no—
536C2×D4—102no—
537C2×D4—402no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—101no—
541C22×C4—101no—
542C22×C4—101no—
543C22×C4—101no—
544C22×C4—101no—
545C22×C4—101no—
546C22×C4—101no—
547C22×C4—104no—
548C22×C4—104no—
549C22×C4—402no—
550C22×C4—402no—
551C22×C4C2×D2012yes—
552C22×C4C2×D2011yescharacteristic
553C22×C4C2×D2011yescharacteristic
554C22×C4C2×D2011yescharacteristic
555C22×C4C2×D2011yescharacteristic
556C22×C4C2×D2011yescharacteristic
557C22×C4C23×D512yes—
558C22×C4C23×D511yescharacteristic
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8C23×D512yes—
564C2×C8C23×D512yes—
565C2×C8C23×D512yes—
566C2×C8C23×D512yes—
567C4⋊C4—52no—
568C4⋊C4—52no—
569C4⋊C4—52no—
570C4⋊C4—52no—
571C4⋊C4—52no—
572C4⋊C4—52no—
573C4⋊C4—104no—
574C4⋊C4—101no—
575C4⋊C4—101no—
576C4⋊C4—101no—
577C4⋊C4—101no—
578C4⋊C4—101no—
579C4⋊C4—101no—
580C4⋊C4—104no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4C2×D2014yes—
590C4⋊C4C2×D2014yes—
591C22⋊C4—104no—
592C22⋊C4—104no—
593C22⋊C4—104no—
594C22⋊C4—104no—
595C22⋊C4—104no—
596C22⋊C4—104no—
597C22⋊C4C2×D2014yes—
598C22⋊C4C2×D2014yes—
599C42—104no—
600C42—104no—
601C42C2×D2012yes—
602C42C2×D2012yes—
603C42C23×D512yes—
604C42C23×D512yes—
605C2×C5—42no—
606C2×C5#324414yescomplemented
607C2×C5C2×#53611yescharacteristic
608C2×C5C2×#57711yescharacteristic
609C2×C5C2×#57711yescharacteristic
610D5—82no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—102no—
615C23—202no—
616C23—202no—
617C23—202no—
618C23C22×D2012yes—
619C23C22×D2011yescharacteristic
620Q8—102no—
621Q8—102no—
622Q8—202no—
623Q8—404no—
624Q8—404no—
625Q8—404no—
626D4—102no—
627D4—102no—
628D4—202no—
629D4—404no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—102no—
639C2×C4—102no—
640C2×C4—102no—
641C2×C4—102no—
642C2×C4—102no—
643C2×C4—102no—
644C2×C4—102no—
645C2×C4—202no—
646C2×C4—202no—
647C2×C4—202no—
648C2×C4—202no—
649C2×C4—202no—
650C2×C4—202no—
651C2×C4—202no—
652C2×C4—404no—
653C2×C4—404no—
654C2×C4C22×D2012yes—
655C2×C4C22×D2012yes—
656C2×C4C22×D2012yes—
657C2×C4C22×D2012yes—
658C2×C4C22×D2012yes—
659C2×C4C22×D2011yescharacteristic
660C2×C4#415012yes—
661C2×C4#415012yes—
662C2×C4C24×D511yescharacteristic
663C8—22no—
664C8—22no—
665C8—22no—
666C8—22no—
667C5C2×#324411yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—202no—
673C22—202no—
674C22—202no—
675C22—404no—
676C22#6586012yes—
677C22#6608512yes—
678C22#6608512yes—
679C22C23×D2011yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—202no—
686C4—202no—
687C4—202no—
688C4—202no—
689C4—202no—
690C4—202no—
691C4—202no—
692C4#6586012yes—
693C4C2×#415011yescharacteristic
694C4C2×#415011yescharacteristic
695C2—42no—
696C2—402no—
697C2#1061109614yesdirect product factor
698C2C2×#6586011yescharacteristic
699C2C2×#6608511yescharacteristic
700C2C2×#6608511yescharacteristic
subgroupG/H
centerC23C22×D20
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#433C2
socleC23×C5C22×D4
prime radicalC2×#4076C22
hypercenterC2×#433D5
hypocenterC5C2×#3244
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. C2×#65853C2semidirect
3. C2×C5×#433C2semidirect
4. #10611096C2direct (N × H)
5. C2×#65118C2semidirect
6. C2×#65140C2semidirect
7. C2×#65136C2semidirect
8. C2×#65131C2semidirect
10. C2×#65012C2semidirect
12. C2×#65010C2semidirect
13. C2×#65003C2semidirect
14. C2×#64991C2semidirect
15. C2×#64986C2semidirect
16. C2×#64969C2semidirect
25. #65853C22semidirect
42. C5×#433C22semidirect
65. #65140C22semidirect
66. #65136C22semidirect
67. #65131C22semidirect
68. #65118C22semidirect
71. #65012C22semidirect
72. #65010C22semidirect
73. #65003C22semidirect
74. #64991C22semidirect
75. #64986C22semidirect
76. #64969C22semidirect
192. C2×#433D5semidirect
315. #433C2×D5semidirect
606. C2×C5#3244semidirect
667. C5C2×#3244semidirect
697. C2#10611096direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658682
C2×#658532
C2×C5×#4332
#106110962
C2×#651182
C2×#651402
C2×#651362
C2×#651312
C2×#650242
C2×#650122
C2×#650262
C2×#650102
C2×#650032
C2×#649912
C2×#649862
C2×#649692
C2×#32445