Finite Group Databasebeta

← C2×#10611485 #12979086

Subgroups — C2×#10611485 #12979086

Order 1280.

1874 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×#65904C211yesmaximal, characteristic, complemented
2C2×#65893C211yesmaximal, characteristic
3C2×C5×#440C211yesmaximal, characteristic, complemented
4C2×#65455C211yesmaximal, characteristic, complemented
5C2×#65452C211yesmaximal, characteristic
6C2×#65317C211yesmaximal, characteristic, complemented
7C2×#65297C211yesmaximal, characteristic, complemented
8#10611485C2116yesmaximal, direct product factor
9C2×#65166C211yesmaximal, characteristic, complemented
10C2×#65180C211yesmaximal, characteristic, complemented
11C2×#65078C211yesmaximal, characteristic, complemented
12C2×#65077C211yesmaximal, characteristic, complemented
13C2×#65053C211yesmaximal, characteristic
14C2×#65057C211yesmaximal, characteristic, complemented
15C2×#65003C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C22×#689C2211yescharacteristic
23C22×#688C2211yescharacteristic
24C2×#4086C2211yescharacteristic
25C2×#4082C2211yescharacteristic
26C2×#4075—21no—
27C2×C4×C22⋊D5—21no—
28#65904—24no—
29#65904C2218yescomplemented
30#65893—24no—
31#65893C2218yes—
32C2×#4039C2211yescharacteristic
33C2×#4036—21no—
34C2×#4036—21no—
35C2×#4036C2211yescharacteristic
36C2×#4036C2211yescharacteristic
37C2×#4033C2211yescharacteristic
38C2×#4031—21no—
39C2×#4029—21no—
40C2×#4021C2211yescharacteristic
41C2×#4015—21no—
42C2×#4015C2211yescharacteristic
43C2×C4×Dic10—21no—
44C2×C4×Dic10C2211yescharacteristic
45C5×#440C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#97C2211yescharacteristic
50C2×#3964C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52#65455C2218yescomplemented
53#65452C2218yes—
54C2×#3953C2211yescharacteristic
55C2×#3953C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3948C2211yescharacteristic
58C2×#3947C2211yescharacteristic
59C2×#3946C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×C8×Dic5C2211yescharacteristic
62#65317C2218yescomplemented
63#65297C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3941C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3940C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65180C2218yescomplemented
70#65166C2218yescomplemented
71#65078C2218yescomplemented
72#65077C2218yescomplemented
73#65057C2218yescomplemented
74#65053C2218yes—
75#65003C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3371—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×D20C2311yescharacteristic
84C22×C4×D5—21no—
85C22×Dic10—21no—
86C22×Dic10D411yescharacteristic
87C22×Dic10C2311yescharacteristic
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C4×C5×Q8—22no—
93C4×C5×Q8C2314yes—
94C4×C5×D4—22no—
95C4×C5×D4C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104Q8×Dic5—22no—
105Q8×Dic5—22no—
106Q8×Dic5C2314yes—
107Q8×Dic5C2314yes—
108C2×#689—24no—
109C2×#689C2314yes—
110C2×#688—24no—
111C2×#688C2314yes—
112#4086—22no—
113#4086C2314yes—
114#4082—22no—
115#4082C2314yes—
116#4075—28no—
117C4×C22⋊D5—28no—
118C2×#685—21no—
119C2×#685—21no—
120C2×#685—21no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5D411yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683D411yescharacteristic
133C2×#683D411yescharacteristic
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5—21no—
137C2×C4×Dic5C2311yescharacteristic
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141#4039—22no—
142#4039C2314yes—
143#4036—28no—
144#4036—28no—
145#4036—22no—
146#4036—22no—
147#4036C2314yes—
148#4036C2314yes—
149#4033—22no—
150#4033C2314yes—
151#4031—28no—
152#4029—28no—
153#4021—22no—
154#4021C2314yes—
155#4015—28no—
156#4015—22no—
157#4015C2314yes—
158C4×Dic10—28no—
159C4×Dic10D414yes—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#103C2314yes—
163C5×#102C2314yes—
164C5×#97C2314yes—
165#3964C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3948C2314yes—
170#3948C2314yes—
171#3947C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174C8×Dic5C2314yes—
175#3942C2314yes—
176#3941C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179C4⋊#168C2314yes—
180C2×#559—51no—
181C2×#557—51no—
182#3371—516no—
183C2×#490—51no—
184C2×#489—51no—
185C2×#488—51no—
186C2×#479—51no—
187C2×#478—51no—
188C2×#476—51no—
189C2×#464—51no—
190C2×#464—51no—
191C2×#460—51no—
192C2×#446—51no—
193C2×#441—51no—
194C2×#440D511yescharacteristic, complemented
195C2×C4×SD16—51no—
196C24×C5—21no—
197C23×D5—21no—
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8#4114yes—
201C2×C5×Q8C2412yes—
202C2×C5×D4—21no—
203C2×C5×D4—22no—
204C2×C5×D4—22no—
205C2×C5×D4C2412yes—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—24no—
210C22×C4×C5—82no—
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×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C2×D20—22no—
226C2×D20—22no—
227C2×D20—21no—
228C2×D20C2412yes—
229C2×C4×D5—24no—
230C2×C4×D5—82no—
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—24no—
234C2×Dic10—21no—
235C2×Dic10—42no—
236C2×Dic10—44no—
237C2×Dic10C2×D414yes—
238C2×Dic10C2412yes—
239C5×SD16—28no—
240C2×C5×C8—22no—
241C2×C5×C8—22no—
242C2×C5×C8C2412yes—
243C2×C5×C8C2412yes—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C22⋊C4—24no—
250C42×C5—24no—
251C42×C5C2×D412yes—
252C42×C5C2412yes—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255#689—28no—
256#688—28no—
257#685—24no—
258#685—24no—
259#685—24no—
260C4⋊Dic5—21no—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5—24no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5C2×D414yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
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×Dic5C2×D412yes—
279C4×Dic5C2×D412yes—
280C4×Dic5C2412yes—
281C4×Dic5C2412yes—
282C2×#168—22no—
283C2×#168—22no—
284C2×#168C2412yes—
285C2×#168C2412yes—
286C22×Q16—51no—
287C22×SD16—51no—
288C22×SD16C2×D511yescharacteristic
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—51no—
298C2×#125—101no—
299C2×#125—101no—
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—101no—
310C2×C4×Q8C2×D511yescharacteristic
311C2×C4×D4—51no—
312C2×C4×D4—101no—
313C2×C4×D4C2×D511yescharacteristic
314#490—58no—
315#489—58no—
316#488—58no—
317#479—58no—
318#478—58no—
319#476—58no—
320#464—58no—
321#464—58no—
322#460—58no—
323#446—58no—
324#441—58no—
325#440C2×D518yescomplemented
326C4×SD16—58no—
327C2×#107C2×D511yescharacteristic
328C2×#106—51no—
329C2×#106—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8—51no—
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103C2×D511yescharacteristic
337C2×#102—51no—
338C2×#102—51no—
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102C2×D511yescharacteristic
343C2×#97—51no—
344C2×#97C2×D511yescharacteristic
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×Q8—24no—
356C5×Q8—22no—
357C5×Q8C2×#4114yes—
358C5×D4—22no—
359C5×D4—22no—
360C5×D4—42no—
361C2×C4×C5—24no—
362C2×C4×C5—22no—
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×C5—84no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D411yescharacteristic
373C2×C4×C5C2×#4112yes—
374C2×C4×C52−1+412yes—
375C2×C4×C5C2511yescharacteristic
376C22⋊D5—48no—
377C22⋊D5—84no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392D20—22no—
393D20—22no—
394D20—42no—
395C4×D5—84no—
396Dic10—22no—
397Dic10—22no—
398Dic10—44no—
399Dic10—48no—
400Dic10—42no—
401C5×C8—22no—
402C5×C8—22no—
403#168—22no—
404#168—22no—
405C22×Q8—51no—
406C22×Q8—51no—
407C22×Q8—101no—
408C22×Q8C22×D511yescharacteristic
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—24no—
418C2×SD16—54no—
419C2×SD16—104no—
420C2×SD16C22×D514yes—
421C22×C8—51no—
422C22×C8—51no—
423C22×C8C22×D511yescharacteristic
424C22×C8C22×D511yescharacteristic
425C4⋊Q8—54no—
426C4⋊Q8—108no—
427C4⋊Q8—102no—
428#127—54no—
429#127—102no—
430#125—54no—
431#125—54no—
432#125—102no—
433#125—102no—
434#125—108no—
435#125—108no—
436#124—54no—
437#124—54no—
438#124—102no—
439#124—108no—
440#124—102no—
441#123—108no—
442#123—108no—
443C4×Q8—22no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—54no—
448C4×Q8—54no—
449C4×Q8—108no—
450C4×Q8—102no—
451C4×Q8—102no—
452C4×Q8—102no—
453C4×Q8C22×D514yes—
454C4×D4—22no—
455C4×D4—54no—
456C4×D4—102no—
457C4×D4—108no—
458C4×D4C22×D514yes—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—51no—
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⋊C4—101no—
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—21no—
482C2×C42—51no—
483C2×C42—51no—
484C2×C42—101no—
485C2×C42—101no—
486C2×C42—101no—
487C2×C42C22×D511yescharacteristic
488#107C22×D514yes—
489#106—54no—
490#106—54no—
491C4⋊C8—54no—
492C4⋊C8—54no—
493C4⋊C8—54no—
494#103—54no—
495#103—54no—
496#103—54no—
497#103C22×D514yes—
498#102—54no—
499#102—54no—
500#102—54no—
501#102—54no—
502#102—54no—
503#102C22×D514yes—
504#97—54no—
505#97C22×D514yes—
506C4×C8—54no—
507C22×C5—42no—
508C22×C5—42no—
509C22×C5—42no—
510C22×C5—84no—
511C22×C5#54812yes—
512C22×C5#57512yes—
513C22×C5#57712yes—
514C22×C5C23×D411yescharacteristic
515C2×D5—42no—
516C2×D5—42no—
517C2×D5—42no—
518C2×D5—84no—
519C4×C5—24no—
520C4×C5—22no—
521C4×C5—22no—
522C4×C5—42no—
523C4×C5—42no—
524C4×C5#54812yes—
525C4×C5C22×#4111yescharacteristic
526C4×C5C2×2−1+411yescharacteristic
527Dic5—22no—
528Dic5—22no—
529Dic5—22no—
530Dic5—22no—
531Dic5—42no—
532Dic5—42no—
533Dic5—42no—
534C24—21no—
535C24—101no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—54no—
539C2×Q8—52no—
540C2×Q8—101no—
541C2×Q8—104no—
542C2×Q8—102no—
543C2×Q8—102no—
544C2×Q8—202no—
545C2×Q8—204no—
546C2×Q8#70914yes—
547C2×Q8C23×D512yes—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—52no—
552C2×D4—104no—
553C2×D4—104no—
554C2×D4—102no—
555C2×D4—101no—
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—28no—
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—21no—
590C4⋊C4—21no—
591C4⋊C4—54no—
592C4⋊C4—54no—
593C4⋊C4—54no—
594C4⋊C4—52no—
595C4⋊C4—52no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—101no—
604C4⋊C4—101no—
605C4⋊C4—104no—
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—24no—
615C42—52no—
616C42—52no—
617C42—52no—
618C42—52no—
619C42—104no—
620C42—104no—
621C42—104no—
622C42D4×D512yes—
623C42C23×D512yes—
624C2×C5—82no—
625C2×C5#337114yescomplemented
626C2×C5C2×#54811yescharacteristic
627C2×C5C2×#57511yescharacteristic
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—24no—
640Q8—22no—
641Q8—102no—
642Q8—102no—
643Q8—204no—
644Q8—208no—
645Q8—202no—
646Q8C2×#70914yes—
647D4—22no—
648D4—22no—
649D4—42no—
650D4—102no—
651D4—102no—
652D4—208no—
653D4—202no—
654D4—404no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—52no—
664C2×C4—52no—
665C2×C4—52no—
666C2×C4—52no—
667C2×C4—84no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—202no—
676C2×C4—202no—
677C2×C4—202no—
678C2×C4—404no—
679C2×C4C2×#70912yes—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D512yes—
682C2×C4C2×D4×D511yescharacteristic
683C2×C4#415012yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#337111yescharacteristic, complemented, Sylow
690C22—42no—
691C22—42no—
692C22—42no—
693C22—84no—
694C22—202no—
695C22—202no—
696C22—202no—
697C22—404no—
698C22#6588612yes—
699C22#6610912yes—
700C22#6611112yes—
701C22C22×D4×D511yescharacteristic
702C4—24no—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—42no—
707C4—102no—
708C4—102no—
709C4—102no—
710C4—102no—
711C4—202no—
712C4—202no—
713C4—202no—
714C4#6588612yes—
715C4C22×#70911yescharacteristic
716C4C2×#415011yescharacteristic
717C2—82no—
718C2—402no—
719C2#1061148514yesdirect product factor
720C2C2×#6588611yescharacteristic
721C2C2×#6610911yescharacteristic
722C2C2×#6611111yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#440C2
socleC23×C5C22×D4
prime radicalC2×#4086C22
hypercenterC2×#440D5
hypocenterC5C2×#3371
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#65904C2semidirect
3. C2×C5×#440C2semidirect
4. C2×#65455C2semidirect
6. C2×#65317C2semidirect
7. C2×#65297C2semidirect
8. #10611485C2direct (N × H)
9. C2×#65166C2semidirect
10. C2×#65180C2semidirect
11. C2×#65078C2semidirect
12. C2×#65077C2semidirect
14. C2×#65057C2semidirect
15. C2×#65003C2semidirect
16. C2×#64990C2semidirect
29. #65904C22semidirect
45. C5×#440C22semidirect
52. #65455C22semidirect
62. #65317C22semidirect
63. #65297C22semidirect
69. #65180C22semidirect
70. #65166C22semidirect
71. #65078C22semidirect
72. #65077C22semidirect
73. #65057C22semidirect
75. #65003C22semidirect
76. #64990C22semidirect
194. C2×#440D5semidirect
325. #440C2×D5semidirect
625. C2×C5#3371semidirect
689. C5C2×#3371semidirect
719. C2#10611485direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659042
C2×#658932
C2×C5×#4402
C2×#654552
C2×#654522
C2×#653172
C2×#652972
#106114852
C2×#651662
C2×#651802
C2×#650782
C2×#650772
C2×#650532
C2×#650572
C2×#650032
C2×#649902
C2×#33715