Finite Group Databasebeta

← C2×#10612882 #12978927

Subgroups — C2×#10612882 #12978927

Order 1280.

1894 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66019C211yesmaximal, characteristic, complemented
2C2×#65893C211yesmaximal, characteristic
3C2×C5×#478C211yesmaximal, characteristic, complemented
4C2×#65357C211yesmaximal, characteristic, complemented
5C2×C4×#687C211yesmaximal, characteristic, complemented
6#10612882C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×#65162C211yesmaximal, characteristic, complemented
9C2×#65143C211yesmaximal, characteristic, complemented
10C2×#65141C211yesmaximal, characteristic, complemented
11C2×#65134C211yesmaximal, characteristic, complemented
12C2×#65119C211yesmaximal, characteristic, complemented
13C2×#65056C211yesmaximal, characteristic, complemented
14C2×#65051C211yesmaximal, characteristic
15C2×#65057C211yesmaximal, characteristic, complemented
16C2×#65049C211yesmaximal, characteristic
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×#4086C2211yescharacteristic
20C2×#4082C2211yescharacteristic
21C22×#687C2211yescharacteristic
22C2×#4075—21no—
23C2×C4×C22⋊D5—21no—
24C22×Dic20C2211yescharacteristic
25C22×#677C2211yescharacteristic
26#66019—24no—
27#66019C2218yescomplemented
28#65893—24no—
29#65893C2218yes—
30C2×#4039C2211yescharacteristic
31C2×#4036C2211yescharacteristic
32C2×#4035—21no—
33C2×#4035—21no—
34C2×#4034—21no—
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×#478C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#102C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3948C2211yescharacteristic
54C2×#3946C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×C8×Dic5C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65357C2218yescomplemented
59C4×#687C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×C4×#168C2211yescharacteristic
67#65180C2218yescomplemented
68#65162C2218yescomplemented
69#65143C2218yescomplemented
70#65141C2218yescomplemented
71#65134C2218yescomplemented
72#65119C2218yescomplemented
73#65057C2218yescomplemented
74#65056C2218yescomplemented
75#65051C2218yes—
76#65049C2218yes—
77C2×#3365—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C23×C4×C5—21no—
80C22×C22⋊D5—21no—
81C22×C22⋊D5—21no—
82C22×D20C2311yescharacteristic
83C22×C4×D5—21no—
84C22×Dic10—21no—
85C22×Dic10D411yescharacteristic
86C22×Dic10C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C5×#125—22no—
91C5×#125C2314yes—
92C4×C5×D4—22no—
93C4×C5×D4C2314yes—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C42×C5C2311yescharacteristic
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103#4086—22no—
104#4086C2314yes—
105#4082—22no—
106#4082C2314yes—
107C2×#687—24no—
108C2×#687C2314yes—
109#4075—28no—
110C4×C22⋊D5—28no—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5D411yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×#683—21no—
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683D411yescharacteristic
124C2×#683D411yescharacteristic
125C2×C4×Dic5—21no—
126C2×C4×Dic5—21no—
127C2×C4×Dic5—21no—
128C2×C4×Dic5—21no—
129C2×C4×Dic5C2311yescharacteristic
130C2×C4×Dic5C2311yescharacteristic
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C2×Dic20—24no—
134C2×Dic20C2314yes—
135C2×#677—24no—
136C2×#677C2314yes—
137#4039—22no—
138#4039C2314yes—
139#4036—22no—
140#4036C2314yes—
141#4035—28no—
142#4035—28no—
143#4034—28no—
144#4034—22no—
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×#106C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3948C2314yes—
169#3946C2314yes—
170#3946C2314yes—
171C8×Dic5C2314yes—
172C8×Dic5C2314yes—
173#3942C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3941C2314yes—
177#3941C2314yes—
178#3940C2314yes—
179C4×#168C2314yes—
180C2×#559—51no—
181C2×#557—51no—
182#3365—516no—
183C2×#488—51no—
184C2×#488—51no—
185C2×#486—51no—
186C2×#475—51no—
187C2×#478—51no—
188C2×#478D511yescharacteristic, complemented
189C2×#464—51no—
190C2×#464—51no—
191C2×#460—51no—
192C2×C8×Q8—51no—
193C2×C4×Q16—51no—
194C2×C4×SD16—51no—
195C2×C4×SD16—51no—
196C24×C5—21no—
197C23×D5—21no—
198C2×C5×D4—21no—
199C2×C5×D4—22no—
200C2×C5×D4—22no—
201C2×C5×D4C2412yes—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—24no—
206C22×C4×C5—82no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2411yescharacteristic
210C2×C22⋊D5—24no—
211C2×C22⋊D5—24no—
212C2×C22⋊D5—44no—
213C2×C22⋊D5—82no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5C2×D411yescharacteristic
218C22×Dic5C2×D411yescharacteristic
219C22×Dic5C2×D411yescharacteristic
220C22×Dic5C2×D411yescharacteristic
221C2×D20—22no—
222C2×D20—22no—
223C2×D20—21no—
224C2×D20C2412yes—
225C2×C4×D5—24no—
226C2×C4×D5—82no—
227C2×Dic10—21no—
228C2×Dic10—22no—
229C2×Dic10—24no—
230C2×Dic10—22no—
231C2×Dic10—22no—
232C2×Dic10—21no—
233C2×Dic10—24no—
234C2×Dic10—44no—
235C2×Dic10C2×D414yes—
236C2×Dic10#4114yes—
237C2×Dic10C2412yes—
238C2×Dic10C2412yes—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C22⋊C4—24no—
252C42×C5C2×D412yes—
253C42×C5C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256#687—28no—
257#685—24no—
258#685—24no—
259#685—24no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5C2×D414yes—
263C4⋊Dic5C2412yes—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683C2×D414yes—
271#683C2×D414yes—
272C4×Dic5—24no—
273C4×Dic5—24no—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5C2×D412yes—
277C4×Dic5C2×D412yes—
278C4×Dic5C2412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284Dic20—28no—
285#677—28no—
286C22×Q16—51no—
287C22×SD16—51no—
288C22×SD16—51no—
289#559—58no—
290#559—104no—
291#557—58no—
292#557—104no—
293C2×C4⋊Q8—51no—
294C2×C4⋊Q8—101no—
295C2×#127—51no—
296C2×#125—51no—
297C2×#125—101no—
298C2×#125—101no—
299C2×#125C2×D511yescharacteristic
300C2×#124—51no—
301C2×#124—51no—
302C2×#124—101no—
303C2×#123—101no—
304C2×#123—101no—
305C2×C4×Q8—51no—
306C2×C4×Q8—51no—
307C2×C4×Q8—51no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×Q8—101no—
311C2×C4×D4—51no—
312C2×C4×D4—101no—
313C2×C4×D4C2×D511yescharacteristic
314#488—58no—
315#488—58no—
316#486—58no—
317#478—58no—
318#478C2×D518yescomplemented
319#475—58no—
320#464—58no—
321#464—58no—
322#460—58no—
323C8×Q8—58no—
324C4×Q16—58no—
325C4×SD16—58no—
326C4×SD16—58no—
327C2×#107C2×D511yescharacteristic
328C2×#106—51no—
329C2×#106C2×D511yescharacteristic
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8C2×D511yescharacteristic
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#102—51no—
340C2×#102—51no—
341C2×#102C2×D511yescharacteristic
342C2×#102C2×D511yescharacteristic
343C2×C4×C8—51no—
344C2×C4×C8—51no—
345C2×C4×C8—51no—
346C23×C5—22no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5—42no—
350C23×C5C22×D411yescharacteristic
351C22×D5—22no—
352C22×D5—42no—
353C22×D5—42no—
354C22×D5—42no—
355C5×D4—22no—
356C5×D4—22no—
357C5×D4—42no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—42no—
364C2×C4×C5—42no—
365C2×C4×C5—42no—
366C2×C4×C5—84no—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D411yescharacteristic
370C2×C4×C5C2×#4112yes—
371C2×C4×C52−1+412yes—
372C2×C4×C5C2511yescharacteristic
373C22⋊D5—48no—
374C22⋊D5—84no—
375C2×Dic5—24no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—42no—
383C2×Dic5—42no—
384C2×Dic5#13514yes—
385C2×Dic5C22×D412yes—
386C2×Dic5C22×D412yes—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389D20—22no—
390D20—22no—
391D20—42no—
392C4×D5—84no—
393Dic10—24no—
394Dic10—22no—
395Dic10—28no—
396Dic10—22no—
397Dic10—22no—
398Dic10—42no—
399Dic10—48no—
400Dic10C2×#4114yes—
401C5×C8—22no—
402C5×C8—22no—
403#168—22no—
404#168—22no—
405C22×Q8—51no—
406C22×Q8—51no—
407C22×Q8—51no—
408C22×Q8—101no—
409C22×D4—51no—
410C22×D4—101no—
411C22×D4—101no—
412C22×D4C22×D511yescharacteristic
413C23×C4—21no—
414C23×C4—101no—
415C2×Q16—54no—
416C2×Q16—104no—
417C2×SD16—54no—
418C2×SD16—54no—
419C2×SD16—104no—
420C2×SD16—104no—
421C22×C8—51no—
422C22×C8—51no—
423C22×C8C22×D511yescharacteristic
424C22×C8C22×D511yescharacteristic
425C4⋊Q8—54no—
426C4⋊Q8—102no—
427C4⋊Q8—108no—
428#127—54no—
429#127—102no—
430#125—22no—
431#125—54no—
432#125—102no—
433#125—108no—
434#125—108no—
435#125C22×D514yes—
436#124—54no—
437#124—54no—
438#124—102no—
439#124—108no—
440#124—102no—
441#123—108no—
442#123—108no—
443C4×Q8—54no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—54no—
448C4×Q8—54no—
449C4×Q8—102no—
450C4×Q8—102no—
451C4×Q8—102no—
452C4×Q8—108no—
453C4×Q8—102no—
454C4×D4—22no—
455C4×D4—54no—
456C4×D4—102no—
457C4×D4—108no—
458C4×D4C22×D514yes—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—101no—
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⋊C4C22×D511yescharacteristic
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—101no—
477C2×C22⋊C4—101no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C22⋊C4—101no—
481C2×C42—51no—
482C2×C42—51no—
483C2×C42—101no—
484C2×C42—101no—
485C2×C42—101no—
486C2×C42—101no—
487C2×C42C22×D511yescharacteristic
488#107C22×D514yes—
489#106—54no—
490#106C22×D514yes—
491C4⋊C8—54no—
492C4⋊C8—54no—
493C4⋊C8C22×D514yes—
494#103—54no—
495#103—54no—
496#103—54no—
497#103—54no—
498#102—54no—
499#102—54no—
500#102—54no—
501#102—54no—
502#102C22×D514yes—
503#102C22×D514yes—
504C4×C8—54no—
505C4×C8—54no—
506C4×C8—54no—
507C22×C5—42no—
508C22×C5—42no—
509C22×C5—42no—
510C22×C5—84no—
511C22×C5#54812yes—
512C22×C5C2×#13512yes—
513C22×C5#57712yes—
514C22×C5C23×D411yescharacteristic
515C2×D5—42no—
516C2×D5—42no—
517C2×D5—42no—
518C2×D5—84no—
519C4×C5—22no—
520C4×C5—22no—
521C4×C5—42no—
522C4×C5—42no—
523C4×C5—42no—
524C4×C5#54812yes—
525C4×C5C22×#4111yescharacteristic
526C4×C5C2×2−1+411yescharacteristic
527Dic5—24no—
528Dic5—22no—
529Dic5—22no—
530Dic5—22no—
531Dic5—42no—
532Dic5—42no—
533Dic5C2×#13514yes—
534C24—21no—
535C24—101no—
536C2×Q8—54no—
537C2×Q8—54no—
538C2×Q8—52no—
539C2×Q8—52no—
540C2×Q8—104no—
541C2×Q8—104no—
542C2×Q8—101no—
543C2×Q8—101no—
544C2×Q8—102no—
545C2×Q8—102no—
546C2×Q8—102no—
547C2×Q8—204no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—52no—
552C2×D4—104no—
553C2×D4—104no—
554C2×D4—101no—
555C2×D4—102no—
556C2×D4—102no—
557C2×D4—204no—
558C2×D4—402no—
559C2×D4C23×D512yes—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—24no—
564C22×C4—51no—
565C22×C4—51no—
566C22×C4—51no—
567C22×C4—51no—
568C22×C4—82no—
569C22×C4—104no—
570C22×C4—101no—
571C22×C4—101no—
572C22×C4—101no—
573C22×C4—402no—
574C22×C4D4×D511yescharacteristic
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D511yescharacteristic
577Q16—108no—
578SD16—108no—
579SD16—108no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—52no—
583C2×C8—52no—
584C2×C8—102no—
585C2×C8—102no—
586C2×C8C23×D512yes—
587C2×C8C23×D512yes—
588C4⋊C4—24no—
589C4⋊C4—24no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—54no—
594C4⋊C4—54no—
595C4⋊C4—54no—
596C4⋊C4—52no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—101no—
604C4⋊C4—104no—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C4⋊C4C23×D512yes—
608C22⋊C4—24no—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C42—52no—
615C42—52no—
616C42—52no—
617C42—52no—
618C42—104no—
619C42—104no—
620C42—104no—
621C42—104no—
622C42D4×D512yes—
623C42C23×D512yes—
624C2×C5—82no—
625C2×C5#336514yescomplemented
626C2×C5C2×#54811yescharacteristic
627C2×C5C22×#13511yescharacteristic
628C2×C5C2×#57711yescharacteristic
629D5—82no—
630C23—22no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—102no—
635C23—202no—
636C23—202no—
637C23—202no—
638C23C2×D4×D511yescharacteristic
639Q8—54no—
640Q8—108no—
641Q8—104no—
642Q8—102no—
643Q8—102no—
644Q8—102no—
645Q8—208no—
646Q8—202no—
647D4—22no—
648D4—22no—
649D4—42no—
650D4—102no—
651D4—102no—
652D4—208no—
653D4—202no—
654D4—404no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—54no—
664C2×C4—52no—
665C2×C4—52no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—84no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—104no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—202no—
677C2×C4—202no—
678C2×C4—404no—
679C2×C4C2×D4×D512yes—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D511yescharacteristic
682C2×C4#414712yes—
683C2×C4D5×#4112yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#336511yescharacteristic, complemented, Sylow
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—202no—
695C22—202no—
696C22—202no—
697C22—404no—
698C22#6596712yes—
699C22D5×#13512yes—
700C22#6610912yes—
701C22C22×D4×D511yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—54no—
708C4—104no—
709C4—102no—
710C4—102no—
711C4—102no—
712C4—202no—
713C4—202no—
714C4#6596712yes—
715C4C2×#414711yescharacteristic
716C4C2×D5×#4111yescharacteristic
717C2—82no—
718C2—402no—
719C2#1061288214yesdirect product factor
720C2C2×#6596711yescharacteristic
721C2C2×D5×#13511yescharacteristic
722C2C2×#6610911yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#478C2
socleC23×C5C22×D4
prime radicalC2×#4086C22
hypercenterC2×#478D5
hypocenterC5C2×#3365
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#66019C2semidirect
3. C2×C5×#478C2semidirect
4. C2×#65357C2semidirect
5. C2×C4×#687C2semidirect
6. #10612882C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×#65162C2semidirect
9. C2×#65143C2semidirect
10. C2×#65141C2semidirect
11. C2×#65134C2semidirect
12. C2×#65119C2semidirect
13. C2×#65056C2semidirect
15. C2×#65057C2semidirect
27. #66019C22semidirect
45. C5×#478C22semidirect
58. #65357C22semidirect
59. C4×#687C22semidirect
67. #65180C22semidirect
68. #65162C22semidirect
69. #65143C22semidirect
70. #65141C22semidirect
71. #65134C22semidirect
72. #65119C22semidirect
73. #65057C22semidirect
74. #65056C22semidirect
188. C2×#478D5semidirect
318. #478C2×D5semidirect
625. C2×C5#3365semidirect
689. C5C2×#3365semidirect
719. C2#10612882direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660192
C2×#658932
C2×C5×#4782
C2×#653572
C2×C4×#6872
#106128822
C2×#651802
C2×#651622
C2×#651432
C2×#651412
C2×#651342
C2×#651192
C2×#650562
C2×#650512
C2×#650572
C2×#650492
C2×#33655