Finite Group Databasebeta

← C2×#10612376 #12972219

Subgroups — C2×#10612376 #12972219

Order 1280.

1818 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65959C211yesmaximal, characteristic, complemented
2C2×#65937C211yesmaximal, characteristic
3C2×C5×#465C211yesmaximal, characteristic
4C2×#65455C211yesmaximal, characteristic, complemented
5C2×#65451C211yesmaximal, characteristic, complemented
6C2×#65405C211yesmaximal, characteristic, complemented
7C2×#65391C211yesmaximal, characteristic, complemented
8C2×#65341C211yesmaximal, characteristic, complemented
9C2×#65331C211yesmaximal, characteristic
10#10612376C2116yesmaximal, direct product factor
11C2×#65146C211yesmaximal, characteristic, complemented
12C2×#65143C211yesmaximal, characteristic, complemented
13C2×#65082C211yesmaximal, characteristic, complemented
14C2×#65083C211yesmaximal, characteristic, complemented
15C2×#65056C211yesmaximal, characteristic, complemented
16C2×#65055C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×#121C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C22×#689C2211yescharacteristic
24C2×#4082—21no—
25C2×#4082C2211yescharacteristic
26C2×#4081—21no—
27C2×D4×Dic5C2211yescharacteristic
28C22×#687C2211yescharacteristic
29C2×#4072C2211yescharacteristic
30C2×#4070C2211yescharacteristic
31C2×#4070C2211yescharacteristic
32C22×#681C2211yescharacteristic
33C22×Dic20C2211yescharacteristic
34#65959—24no—
35#65959C2218yescomplemented
36#65937—24no—
37#65937C2218yes—
38C2×#4036—21no—
39C2×#4036C2211yescharacteristic
40C2×#4035—21no—
41C2×#4034C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4025—21no—
45C2×#4025—21no—
46C2×#4025—21no—
47C2×#4024—21no—
48C5×#465C2218yes—
49C2×C5×#106C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#102C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65455C2218yescomplemented
55#65451C2218yescomplemented
56#65405C2218yescomplemented
57C2×#3950C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60#65391C2218yescomplemented
61C2×#3946C2211yescharacteristic
62C2×#3946C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65#65341C2218yescomplemented
66#65331C2218yes—
67C2×#3942C2211yescharacteristic
68C2×#3942C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65146C2218yescomplemented
72#65143C2218yescomplemented
73#65083C2218yescomplemented
74#65082C2218yescomplemented
75#65056C2218yescomplemented
76#65055C2218yescomplemented
77C2×#3258—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4—21no—
80C22×C5×D4C2311yescharacteristic
81C23×C4×C5C2311yescharacteristic
82C23×Dic5—21no—
83C22×Dic10—21no—
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C2×C5×SD16—42no—
87C2×C5×SD16C2314yes—
88C22×C5×C8—42no—
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2314yes—
92C5×C22⋊Q8—22no—
93C5×C22⋊Q8C2314yes—
94C5×#121—22no—
95C5×#121C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5D411yescharacteristic
107C2×C22⋊Dic5D411yescharacteristic
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110#4090—22no—
111#4090C2314yes—
112C2×#689—42no—
113C2×#689C2314yes—
114#4082—28no—
115#4082—22no—
116#4082C2314yes—
117#4081—28no—
118D4×Dic5—22no—
119D4×Dic5C2314yes—
120C2×#687—42no—
121C2×#687C2314yes—
122#4072D414yes—
123#4072C2314yes—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5D411yescharacteristic
127C2×C4⋊Dic5D411yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130#4070—22no—
131#4070—22no—
132#4070C2314yes—
133#4070C2314yes—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—21no—
140C2×#683—21no—
141C2×#683—21no—
142C2×C4×Dic5—21no—
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×C4×Dic5C2311yescharacteristic
146C2×C4×Dic5C2311yescharacteristic
147C2×#681—42no—
148C2×#681C2314yes—
149C22×#168C2311yescharacteristic
150C22×#168C2311yescharacteristic
151C2×Dic20—42no—
152C2×Dic20C2314yes—
153#4036—28no—
154#4036—22no—
155#4036C2314yes—
156#4035—28no—
157#4034—22no—
158#4034C2314yes—
159#4033—22no—
160#4033—22no—
161#4033C2314yes—
162#4033C2314yes—
163#4025—28no—
164#4025—28no—
165#4025—28no—
166#4024—28no—
167C5×#106C2314yes—
168C5×#103C2314yes—
169C5×#102C2314yes—
170#3967C2314yes—
171#3964C2314yes—
172#3950C2314yes—
173#3948C2314yes—
174#3948C2314yes—
175#3946C2314yes—
176#3946C2314yes—
177#3946C2314yes—
178#3946C2314yes—
179#3942C2314yes—
180#3942C2314yes—
181#3940C2314yes—
182#3939C2314yes—
183C2×#542—51no—
184C2×#541—51no—
185#3258—516no—
186C2×#479—51no—
187C2×#477—51no—
188C2×#475—51no—
189C2×#478—51no—
190C2×#470—51no—
191C2×#468—51no—
192C2×#467—51no—
193C2×#465D511yescharacteristic
194C2×#464—51no—
195C2×#464—51no—
196C2×#462—51no—
197C2×#461—51no—
198C2×#424—51no—
199C24×C5—21no—
200C24×C5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×D4—24no—
206C2×C5×D4—21no—
207C2×C5×D4—22no—
208C2×C5×D4—22no—
209C2×C5×D4—82no—
210C2×C5×D4C2412yes—
211C22×C4×C5—22no—
212C22×C4×C5—22no—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5—21no—
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2×D412yes—
218C22×C4×C5C2412yes—
219C22×C4×C5C2411yescharacteristic
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—24no—
225C22×Dic5—82no—
226C22×Dic5C2×D411yescharacteristic
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C2×Dic10—22no—
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—22no—
234C2×Dic10—21no—
235C2×Dic10—21no—
236C2×Dic10—24no—
237C2×Dic10—82no—
238C2×Dic10C2412yes—
239C2×Dic10C2412yes—
240C5×SD16—44no—
241C2×C5×C8—22no—
242C2×C5×C8—22no—
243C2×C5×C8—44no—
244C2×C5×C8C2412yes—
245C2×C5×C8C2412yes—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C22⋊C4—24no—
252C5×C22⋊C4—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257C22⋊Dic5—24no—
258C22⋊Dic5C2×D414yes—
259C22⋊Dic5C2×D414yes—
260#689—44no—
261#687—44no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5—24no—
266C4⋊Dic5C2×D414yes—
267C4⋊Dic5C2×D414yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C4×Dic5C2412yes—
285#681—44no—
286C2×#168—22no—
287C2×#168—22no—
288C2×#168C2412yes—
289C2×#168C2412yes—
290Dic20—44no—
291C22×Q16—51no—
292C22×Q16—51no—
293C22×SD16—51no—
294C22×SD16C2×D511yescharacteristic
295C22×M16—51no—
296C23×C8C2×D511yescharacteristic
297#542—58no—
298#542—104no—
299#541—58no—
300#541—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8—51no—
303C2×#126—101no—
304C2×#126—101no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#125—101no—
309C2×#124—51no—
310C2×#124—101no—
311C2×#123—101no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—51no—
314C2×C22⋊Q8—101no—
315C2×C22⋊Q8C2×D511yescharacteristic
316C2×#121C2×D511yescharacteristic
317C2×C4×Q8—51no—
318C2×C4×Q8—51no—
319C2×C4×Q8—51no—
320C2×C4×D4—51no—
321C2×#117—51no—
322#479—58no—
323#478—58no—
324#477—58no—
325#475—58no—
326#470—58no—
327#468—58no—
328#467—58no—
329#465C2×D518yes—
330#464—58no—
331#464—58no—
332#462—58no—
333#461—58no—
334C2×#107—51no—
335C2×#107—51no—
336C2×#106—51no—
337C2×#106C2×D511yescharacteristic
338#424—58no—
339C2×C4⋊C8—51no—
340C2×C4⋊C8—51no—
341C2×C4⋊C8—51no—
342C2×C4⋊C8—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103—51no—
346C2×#103—51no—
347C2×#103—51no—
348C2×#103C2×D511yescharacteristic
349C2×#102—51no—
350C2×#102C2×D511yescharacteristic
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C5—22no—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5—42no—
358C23×C5C22×D412yes—
359C23×C5C22×D411yescharacteristic
360C5×Q8—22no—
361C5×Q8—22no—
362C5×Q8—42no—
363C5×D4—22no—
364C5×D4—22no—
365C5×D4—42no—
366C5×D4—84no—
367C2×C4×C5—22no—
368C2×C4×C5—24no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—42no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5C22×D412yes—
378C2×C4×C5C22×D411yescharacteristic
379C2×C4×C5H(5,𝔽2)12yes—
380C2×C4×C52−1+412yes—
381C2×C4×C5C2511yescharacteristic
382C2×Dic5—22no—
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×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C2×Dic5C22×D412yes—
399Dic10—22no—
400Dic10—22no—
401Dic10—22no—
402Dic10—22no—
403Dic10—42no—
404Dic10—42no—
405Dic10—84no—
406C5×C8—22no—
407C5×C8—22no—
408#168—22no—
409#168—22no—
410C22×Q8—51no—
411C22×Q8—51no—
412C22×Q8—101no—
413C22×Q8C22×D511yescharacteristic
414C22×D4—21no—
415C22×D4C22×D511yescharacteristic
416C23×C4—101no—
417C23×C4C22×D511yescharacteristic
418C2×Q16—54no—
419C2×Q16—54no—
420C2×Q16—202no—
421C2×Q16—202no—
422C2×SD16—42no—
423C2×SD16—54no—
424C2×SD16—202no—
425C2×SD16C22×D514yes—
426C2×M16—54no—
427C2×M16—202no—
428C22×C8—42no—
429C22×C8—51no—
430C22×C8—51no—
431C22×C8C22×D511yescharacteristic
432C22×C8C22×D511yescharacteristic
433C22×C8C22×D514yes—
434C4⋊Q8—54no—
435C4⋊Q8—54no—
436C4⋊Q8—102no—
437C4⋊Q8—102no—
438#126—108no—
439#126—108no—
440#126—108no—
441#125—54no—
442#125—102no—
443#125—108no—
444#125—108no—
445#124—54no—
446#124—102no—
447#124—108no—
448#123—108no—
449C22⋊Q8—22no—
450C22⋊Q8—54no—
451C22⋊Q8—54no—
452C22⋊Q8—108no—
453C22⋊Q8—102no—
454C22⋊Q8—102no—
455C22⋊Q8C22×D514yes—
456#121—22no—
457#121C22×D514yes—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—54no—
461C4×Q8—102no—
462C4×Q8—102no—
463C4×Q8—102no—
464C4×D4—54no—
465C4×D4—102no—
466#117—54no—
467#117—54no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4C22×D511yescharacteristic
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—51no—
495C2×C42—51no—
496C2×C42—101no—
497C2×C42—101no—
498C2×C42—101no—
499#107—54no—
500#107—54no—
501#106—54no—
502#106C22×D514yes—
503C4⋊C8—54no—
504C4⋊C8—54no—
505C4⋊C8—54no—
506C4⋊C8—54no—
507#103—54no—
508#103—54no—
509#103—54no—
510#103—54no—
511#103—54no—
512#103C22×D514yes—
513#102—54no—
514#102C22×D514yes—
515C22×C5—22no—
516C22×C5—22no—
517C22×C5—22no—
518C22×C5—44no—
519C22×C5—42no—
520C22×C5—42no—
521C22×C5—42no—
522C22×C5—84no—
523C22×C5#53712yes—
524C22×C5#57712yes—
525C22×C5#57812yes—
526C22×C5C23×D411yescharacteristic
527C4×C5—22no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5#53712yes—
532C4×C5C2×H(5,𝔽2)11yescharacteristic
533C4×C5C2×2−1+411yescharacteristic
534Dic5—22no—
535Dic5—22no—
536Dic5—22no—
537Dic5—22no—
538Dic5—42no—
539Dic5—42no—
540Dic5—42no—
541Dic5—42no—
542C24—21no—
543C24D4×D511yescharacteristic
544C2×Q8—21no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—52no—
548C2×Q8—52no—
549C2×Q8—104no—
550C2×Q8—101no—
551C2×Q8—101no—
552C2×Q8—102no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—402no—
557C2×Q8C23×D512yes—
558C2×D4—24no—
559C2×D4—21no—
560C2×D4—22no—
561C2×D4—22no—
562C2×D4—82no—
563C2×D4C23×D512yes—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—104no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—402no—
579C22×C4D4×D512yes—
580C22×C4D4×D511yescharacteristic
581C22×C4C23×D512yes—
582C22×C4C23×D511yescharacteristic
583Q16—204no—
584Q16—204no—
585SD16—44no—
586SD16—204no—
587M16—204no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—44no—
591C2×C8—52no—
592C2×C8—52no—
593C2×C8—102no—
594C2×C8—102no—
595C2×C8C23×D512yes—
596C2×C8C23×D512yes—
597C4⋊C4—24no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—54no—
601C4⋊C4—54no—
602C4⋊C4—52no—
603C4⋊C4—52no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—101no—
613C4⋊C4—101no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C22⋊C4—54no—
621C22⋊C4—54no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C42—52no—
628C42—52no—
629C42—52no—
630C42—52no—
631C42—104no—
632C42—104no—
633C42—104no—
634C2×C5—42no—
635C2×C5—82no—
636C2×C5#325814yescomplemented
637C2×C5C2×#53711yescharacteristic
638C2×C5C2×#57711yescharacteristic
639C2×C5C2×#57811yescharacteristic
640C23—22no—
641C23—22no—
642C23—22no—
643C23—22no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652Q8—102no—
653Q8—102no—
654Q8—102no—
655Q8—102no—
656Q8—202no—
657Q8—202no—
658Q8—404no—
659D4—22no—
660D4—22no—
661D4—42no—
662D4—84no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—52no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—52no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—202no—
688C2×C4—202no—
689C2×C4—404no—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D511yescharacteristic
692C2×C4#414412yes—
693C2×C4#415012yes—
694C2×C4C24×D511yescharacteristic
695C8—22no—
696C8—22no—
697C8—102no—
698C8—102no—
699C5C2×#325811yescharacteristic, complemented, Sylow
700C22—22no—
701C22—22no—
702C22—22no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—84no—
708C22#6593112yes—
709C22#6609612yes—
710C22#6610512yes—
711C22C22×D4×D511yescharacteristic
712C4—22no—
713C4—42no—
714C4—42no—
715C4—42no—
716C4—102no—
717C4—102no—
718C4—102no—
719C4—102no—
720C4—202no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4#6593112yes—
725C4C2×#414411yescharacteristic
726C4C2×#415011yescharacteristic
727C2—42no—
728C2—82no—
729C2#1061237614yesdirect product factor
730C2C2×#6593111yescharacteristic
731C2C2×#6609611yescharacteristic
732C2C2×#6610511yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#465C2
socleC23×C5C22×D4
prime radicalC2×C5×#121C22
hypercenterC2×#465D5
hypocenterC5C2×#3258
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#65959C2semidirect
4. C2×#65455C2semidirect
5. C2×#65451C2semidirect
6. C2×#65405C2semidirect
7. C2×#65391C2semidirect
8. C2×#65341C2semidirect
10. #10612376C2direct (N × H)
11. C2×#65146C2semidirect
12. C2×#65143C2semidirect
13. C2×#65082C2semidirect
14. C2×#65083C2semidirect
15. C2×#65056C2semidirect
16. C2×#65055C2semidirect
35. #65959C22semidirect
54. #65455C22semidirect
55. #65451C22semidirect
56. #65405C22semidirect
60. #65391C22semidirect
65. #65341C22semidirect
71. #65146C22semidirect
72. #65143C22semidirect
73. #65083C22semidirect
74. #65082C22semidirect
75. #65056C22semidirect
76. #65055C22semidirect
636. C2×C5#3258semidirect
699. C5C2×#3258semidirect
729. C2#10612376direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659592
C2×#659372
C2×C5×#4652
C2×#654552
C2×#654512
C2×#654052
C2×#653912
C2×#653412
C2×#653312
#106123762
C2×#651462
C2×#651432
C2×#650822
C2×#650832
C2×#650562
C2×#650552
C2×#32585