Finite Group Databasebeta

← C2×#10610856 #12977743

Subgroups — C2×#10610856 #12977743

Order 1280.

1930 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×#65848C211yesmaximal, characteristic
2C2×#65847C211yesmaximal, characteristic, complemented
3C22×C5×#106C211yesmaximal, characteristic, complemented
4C2×#65403C211yesmaximal, characteristic, complemented
5C2×C8×C22⋊D5C211yesmaximal, characteristic, complemented
6C2×#65259C211yesmaximal, characteristic, complemented
7C2×#65256C211yesmaximal, characteristic, complemented
8C2×#65146C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10#10610856C2116yesmaximal, direct product factor
11C2×#65155C211yesmaximal, characteristic, complemented
12C2×#65153C211yesmaximal, characteristic, complemented
13C2×#65149C211yesmaximal, characteristic, complemented
14C2×#65156C211yesmaximal, characteristic, complemented
15C2×#65147C211yesmaximal, characteristic, complemented
16C2×#65141C211yesmaximal, characteristic, complemented
17C23×C5×C8C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C2×#4076—21no—
21C2×#4076C2211yescharacteristic
22C2×#4075—21no—
23C2×C4×C22⋊D5—21no—
24C2×C4×C22⋊D5C2211yescharacteristic
25C2×#4072—21no—
26C2×#4070C2211yescharacteristic
27C22×#677C2211yescharacteristic
28C22×C8×D5C2211yescharacteristic
29#65848—24no—
30#65848C2218yes—
31#65847—24no—
32#65847C2218yescomplemented
33C2×#4044—21no—
34C2×#4044—21no—
35C2×#4043C2211yescharacteristic
36C2×#4041C2211yescharacteristic
37C2×#4040—21no—
38C2×#4039C2211yescharacteristic
39C2×#4038C2211yescharacteristic
40C2×#4038C2211yescharacteristic
41C2×#4036C2211yescharacteristic
42C2×#4036C2211yescharacteristic
43C2×#4035—21no—
44C2×#4033C2211yescharacteristic
45C2×C5×#106C2211yescharacteristic
46C2×C5×#106C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×#106C2211yescharacteristic
49C2×C5×#106C2218yescomplemented
50C2×C22⋊#168C2211yescharacteristic
51#65403C2218yescomplemented
52C2×#3953C2211yescharacteristic
53C8×C22⋊D5C2218yescomplemented
54C2×#3952C2211yescharacteristic
55C2×#3949C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65259C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62#65256C2218yescomplemented
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69#65160C2218yescomplemented
70#65156C2218yescomplemented
71#65155C2218yescomplemented
72#65153C2218yescomplemented
73#65149C2218yescomplemented
74#65147C2218yescomplemented
75#65146C2218yescomplemented
76#65141C2218yescomplemented
77C2×#3337—51nomaximal, Sylow
78C23×C4×C5—21no—
79C23×C4×C5—21no—
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5D411yescharacteristic
83C22×D20—21no—
84C22×D20C2311yescharacteristic
85C22×C4×D5—21no—
86C22×C4×D5C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C22×C5×C8—24no—
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2314yes—
91C22×C5×C8C2311yescharacteristic
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—22no—
95C2×C5×C4⋊C4—22no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2314yes—
101C2×C5×C4⋊C4C2314yes—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5D411yescharacteristic
104#4076—22no—
105#4076—28no—
106#4076C2314yes—
107#4075—28no—
108C4×C22⋊D5—28no—
109C4×C22⋊D5D414yes—
110C4×C22⋊D5C2314yes—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685D411yescharacteristic
118#4072—28no—
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2311yescharacteristic
124#4070—22no—
125#4070C2314yes—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683D411yescharacteristic
131C2×C4×Dic5—21no—
132C2×C4×Dic5—21no—
133C2×C4×Dic5—21no—
134C2×C4×Dic5C2311yescharacteristic
135C22×#168C2311yescharacteristic
136C22×#168C2311yescharacteristic
137C2×#677—24no—
138C2×#677C2314yes—
139C2×C8×D5—24no—
140C2×C8×D5C2314yes—
141#4044—28no—
142#4044—28no—
143#4043—22no—
144#4043C2314yes—
145#4041—22no—
146#4041C2314yes—
147#4040—28no—
148#4039—22no—
149#4039C2314yes—
150#4038—22no—
151#4038—22no—
152#4038C2314yes—
153#4038C2314yes—
154#4036—22no—
155#4036—22no—
156#4036C2314yes—
157#4036C2314yes—
158#4035—28no—
159#4033—22no—
160#4033C2314yes—
161C5×#106C2314yes—
162C5×#106C2314yes—
163C5×#106C2314yes—
164C5×#106C2314yes—
165C22⋊#168C2314yes—
166#3953C2314yes—
167#3952C2314yes—
168#3949C2314yes—
169#3948C2314yes—
170#3946C2314yes—
171C8×Dic5C2314yes—
172#3942C2314yes—
173#3942C2314yes—
174#3941C2314yes—
175#3941C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C2×#553—51no—
181C2×#552—51no—
182#3337—516no—
183C2×#499—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#465—51no—
191C2×#465—51no—
192C2×C4×SD16—51no—
193C2×C8×D4—51no—
194C2×#427—51no—
195C22×#106D511yescharacteristic, complemented
196C24×C5C2×D411yescharacteristic
197C23×D5—21no—
198C23×D5C2×D411yescharacteristic
199C22×C4×C5—22no—
200C22×C4×C5—22no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—24no—
206C22×C4×C5—24no—
207C22×C4×C5—44no—
208C22×C4×C5—82no—
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D412yes—
211C22×C4×C5C2412yes—
212C22×C4×C5C2411yescharacteristic
213C2×C22⋊D5—24no—
214C2×C22⋊D5—24no—
215C2×C22⋊D5—44no—
216C2×C22⋊D5C2×D414yes—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C2×D20—22no—
224C2×D20—22no—
225C2×D20—21no—
226C2×D20—24no—
227C2×D20—82no—
228C2×D20C2412yes—
229C2×C4×D5—22no—
230C2×C4×D5—22no—
231C2×C4×D5—24no—
232C2×C4×D5—82no—
233C2×C4×D5C2×D412yes—
234C2×C4×D5C2412yes—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—21no—
238C2×Dic10C2412yes—
239C2×C5×C8—22no—
240C2×C5×C8—28no—
241C2×C5×C8#4114yes—
242C2×C5×C8C2412yes—
243C2×C5×C8C2412yes—
244C5×C4⋊C4—21no—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—24no—
250C5×C4⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C22⋊Dic5—24no—
255C22⋊Dic5C2×D414yes—
256#685—24no—
257#685—24no—
258#685—24no—
259#685—24no—
260#685—24no—
261#685—24no—
262#685C2×D414yes—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284#677—28no—
285C8×D5—28no—
286C22×SD16—51no—
287C23×C8—51no—
288C23×C8C2×D511yescharacteristic
289#553—58no—
290#553—104no—
291#552—58no—
292#552—104no—
293C2×#126—101no—
294C2×#126—101no—
295C2×#125—51no—
296C2×#125—51no—
297C2×#125—101no—
298C2×#123—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—101no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—51no—
308C2×C4×D4—101no—
309C2×#117—51no—
310C2×#117—51no—
311C2×#117—101no—
312C22×C4⋊C4C2×D511yescharacteristic
313C22×C4⋊C4C2×D511yescharacteristic
314#499—58no—
315#485—58no—
316#484—58no—
317#482—58no—
318#480—58no—
319#479—58no—
320#478—58no—
321#465—58no—
322#465—58no—
323C4×SD16—58no—
324C8×D4—58no—
325#427—58no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—51no—
330C2×#106—51no—
331C2×#106C2×D511yescharacteristic
332C2×#106C2×D511yescharacteristic
333C2×#106C2×D511yescharacteristic
334C2×#106C2×D511yescharacteristic
335C2×#106C2×D518yescomplemented
336C2×C4⋊C8—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×C22⋊C8—51no—
344C2×C22⋊C8—51no—
345C2×C4×C8—51no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5#13514yes—
349C23×C5C22×D412yes—
350C23×C5C22×D411yescharacteristic
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5—42no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5C22×D412yes—
359C2×C4×C5—22no—
360C2×C4×C5—24no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—48no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—84no—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D411yescharacteristic
375C2×C4×C5C2×#4112yes—
376C2×C4×C52−1+412yes—
377C2×C4×C5C2511yescharacteristic
378C22⋊D5—28no—
379C22⋊D5—48no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392D20—22no—
393D20—22no—
394D20—42no—
395D20—84no—
396C4×D5—24no—
397C4×D5—22no—
398C4×D5—22no—
399C4×D5—84no—
400Dic10—22no—
401Dic10—22no—
402Dic10—42no—
403C5×C8—22no—
404C5×C8C2×#4114yes—
405#168—22no—
406#168—22no—
407C22×Q8—51no—
408C22×D4—51no—
409C22×D4—51no—
410C22×D4—101no—
411C22×D4—101no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—51no—
415C23×C4—101no—
416C23×C4C22×D511yescharacteristic
417C2×SD16—54no—
418C2×SD16—104no—
419C22×C8—24no—
420C22×C8—51no—
421C22×C8—51no—
422C22×C8—54no—
423C22×C8—104no—
424C22×C8C22×D511yescharacteristic
425C22×C8C22×D514yes—
426C22×C8C22×D511yescharacteristic
427#126—108no—
428#126—108no—
429#125—54no—
430#125—54no—
431#125—102no—
432#125—102no—
433#125—108no—
434#123—108no—
435#123—108no—
436C22⋊Q8—54no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8—102no—
440#121—54no—
441#121—54no—
442#121—102no—
443#121—108no—
444#121—102no—
445C4×Q8—54no—
446C4×Q8—102no—
447C4×D4—54no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—102no—
451C4×D4—108no—
452#117—54no—
453#117—54no—
454#117—108no—
455#117—102no—
456#117—102no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—101no—
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⋊C4C22×D511yescharacteristic
472C2×C4⋊C4C22×D511yescharacteristic
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C4⋊C4C22×D514yes—
476C2×C4⋊C4C22×D514yes—
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×C22⋊C4—101no—
486C2×C42—51no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42—101no—
490#107—54no—
491#107—54no—
492#107—54no—
493#107—54no—
494#106—54no—
495#106C22×D514yes—
496#106C22×D514yes—
497#106C22×D514yes—
498#106C22×D514yes—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103—54no—
503#102—54no—
504#102—54no—
505#102—54no—
506C22⋊C8—54no—
507C22⋊C8—54no—
508C4×C8—54no—
509C22×C5—28no—
510C22×C5—22no—
511C22×C5—22no—
512C22×C5#54712yes—
513C22×C5C2×#13514yes—
514C22×C5C2×#13512yes—
515C22×C5#57712yes—
516C22×C5C23×D411yescharacteristic
517C2×D5—22no—
518C2×D5—22no—
519C2×D5—22no—
520C2×D5—44no—
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—42no—
524C2×D5—84no—
525C4×C5—22no—
526C4×C5—42no—
527C4×C5—42no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5#54712yes—
531C4×C5C22×#4111yescharacteristic
532C4×C5C2×2−1+411yescharacteristic
533Dic5—22no—
534Dic5—22no—
535Dic5—22no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—51no—
540C24—101no—
541C24D4×D511yescharacteristic
542C2×Q8—52no—
543C2×Q8—101no—
544C2×Q8—102no—
545C2×Q8—102no—
546C2×D4—54no—
547C2×D4—52no—
548C2×D4—104no—
549C2×D4—104no—
550C2×D4—104no—
551C2×D4—102no—
552C2×D4—101no—
553C2×D4—102no—
554C2×D4—204no—
555C2×D4—402no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—24no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—24no—
564C22×C4—44no—
565C22×C4—51no—
566C22×C4—51no—
567C22×C4—51no—
568C22×C4—52no—
569C22×C4—52no—
570C22×C4—82no—
571C22×C4—104no—
572C22×C4—102no—
573C22×C4—102no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—402no—
578C22×C4D4×D512yes—
579C22×C4D4×D511yescharacteristic
580C22×C4C23×D512yes—
581C22×C4C23×D511yescharacteristic
582SD16—108no—
583C2×C8—22no—
584C2×C8—28no—
585C2×C8—52no—
586C2×C8—52no—
587C2×C8—102no—
588C2×C8—102no—
589C2×C8—108no—
590C2×C8#70914yes—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—24no—
598C4⋊C4—24no—
599C4⋊C4—54no—
600C4⋊C4—52no—
601C4⋊C4—52no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—101no—
609C4⋊C4—101no—
610C4⋊C4—104no—
611C4⋊C4C23×D512yes—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C4⋊C4C23×D512yes—
615C22⋊C4—54no—
616C22⋊C4—54no—
617C22⋊C4—104no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C42—52no—
625C42—52no—
626C42—104no—
627C42—104no—
628C42—104no—
629C2×C5—24no—
630C2×C5#333714yescomplemented
631C2×C5C2×#54711yescharacteristic
632C2×C5C22×#13511yescharacteristic
633C2×C5C2×#57711yescharacteristic
634D5—42no—
635D5—82no—
636C23—22no—
637C23—22no—
638C23—52no—
639C23—102no—
640C23—102no—
641C23—102no—
642C23—102no—
643C23—202no—
644C23—202no—
645C23—202no—
646C23#406214yes—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—102no—
650Q8—102no—
651Q8—202no—
652D4—108no—
653D4—102no—
654D4—102no—
655D4—208no—
656D4—202no—
657D4—404no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—48no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—52no—
672C2×C4—52no—
673C2×C4—52no—
674C2×C4—84no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—104no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—404no—
688C2×C4C2×#70912yes—
689C2×C4C2×D4×D512yes—
690C2×C4C2×D4×D511yescharacteristic
691C2×C4#414712yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—102no—
695C8—102no—
696C8C2×#70914yes—
697C5C2×#333711yescharacteristic, complemented, Sylow
698C22—22no—
699C22—28no—
700C22—22no—
701C22—102no—
702C22—102no—
703C22—102no—
704C22—204no—
705C22—202no—
706C22—202no—
707C22—202no—
708C22—404no—
709C22#6584112yes—
710C22C2×#406214yes—
711C22C2×#406212yes—
712C22#6609612yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—102no—
720C4—102no—
721C4—102no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6584112yes—
726C4C22×#70911yescharacteristic
727C4C2×#414711yescharacteristic
728C2—24no—
729C2—202no—
730C2—402no—
731C2#1061085614yesdirect product factor
732C2C2×#6584111yescharacteristic
733C2C22×#406211yescharacteristic
734C2C2×#6609611yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC22×C5×#106C2
socleC23×C5C22×D4
prime radicalC2×#65848C2
hypercenterC22×#106D5
hypocenterC5C2×#3337
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
2. C2×#65847C2semidirect
3. C22×C5×#106C2semidirect
4. C2×#65403C2semidirect
5. C2×C8×C22⋊D5C2semidirect
6. C2×#65259C2semidirect
7. C2×#65256C2semidirect
8. C2×#65146C2semidirect
9. C2×#65160C2semidirect
10. #10610856C2direct (N × H)
11. C2×#65155C2semidirect
12. C2×#65153C2semidirect
13. C2×#65149C2semidirect
14. C2×#65156C2semidirect
15. C2×#65147C2semidirect
16. C2×#65141C2semidirect
32. #65847C22semidirect
49. C2×C5×#106C22semidirect
51. #65403C22semidirect
53. C8×C22⋊D5C22semidirect
59. #65259C22semidirect
62. #65256C22semidirect
69. #65160C22semidirect
70. #65156C22semidirect
71. #65155C22semidirect
72. #65153C22semidirect
73. #65149C22semidirect
74. #65147C22semidirect
75. #65146C22semidirect
76. #65141C22semidirect
195. C22×#106D5semidirect
335. C2×#106C2×D5semidirect
630. C2×C5#3337semidirect
697. C5C2×#3337semidirect
731. C2#10610856direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658482
C2×#658472
C22×C5×#1062
C2×#654032
C2×C8×C22⋊D52
C2×#652592
C2×#652562
C2×#651462
C2×#651602
#106108562
C2×#651552
C2×#651532
C2×#651492
C2×#651562
C2×#651472
C2×#651412
C2×#33375