Finite Group Databasebeta

← C2×#10611496 #12980321

Subgroups — C2×#10611496 #12980321

Order 1280.

1938 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65902C211yesmaximal, characteristic, complemented
2C2×#65876C211yesmaximal, characteristic, complemented
3C2×C5×#440C211yesmaximal, characteristic, complemented
4C2×#65456C211yesmaximal, characteristic, complemented
5C2×#65457C211yesmaximal, characteristic
6C2×#65320C211yesmaximal, characteristic, complemented
7C2×#65305C211yesmaximal, characteristic
8#10611496C2116yesmaximal, direct product factor
9C2×#65178C211yesmaximal, characteristic, complemented
10C2×#65162C211yesmaximal, characteristic, complemented
11C2×#65087C211yesmaximal, characteristic, complemented
12C2×#65082C211yesmaximal, characteristic, complemented
13C2×#65056C211yesmaximal, characteristic, complemented
14C2×#65076C211yesmaximal, characteristic
15C2×#65004C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4093C2211yescharacteristic
21C2×#4090C2211yescharacteristic
22C22×#689C2211yescharacteristic
23C22×#689C2211yescharacteristic
24C2×#4082C2211yescharacteristic
25C2×#4082C2211yescharacteristic
26C22×#687C2211yescharacteristic
27C22×#686C2211yescharacteristic
28C2×#4072—21no—
29C2×#4070—21no—
30C22×Dic20C2211yescharacteristic
31C22×Dic20C2211yescharacteristic
32C22×#677C2211yescharacteristic
33C22×#677C2211yescharacteristic
34#65902—24no—
35#65902C2218yescomplemented
36#65876—24no—
37#65876C2218yescomplemented
38C2×#4044—21no—
39C2×#4042—21no—
40C2×#4039C2211yescharacteristic
41C2×#4033C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4025—21no—
45C2×#4025—21no—
46C2×#4022—21no—
47C2×#4021C2211yescharacteristic
48C2×#4018—21no—
49C2×#4015C2211yescharacteristic
50C2×C4×Dic10C2211yescharacteristic
51C5×#440C2218yescomplemented
52C2×C5×#107C2211yescharacteristic
53C2×C5×#103C2211yescharacteristic
54C2×C5×#102C2211yescharacteristic
55C2×C5×#97C2211yescharacteristic
56#65457C2218yes—
57#65456C2218yescomplemented
58C2×#3947C2211yescharacteristic
59C2×#3946C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×C8×Dic5C2211yescharacteristic
62#65320C2218yescomplemented
63#65305C2218yes—
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3942C2211yescharacteristic
67C2×#3941C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65178C2218yescomplemented
70#65162C2218yescomplemented
71#65087C2218yescomplemented
72#65082C2218yescomplemented
73#65076C2218yes—
74#65056C2218yescomplemented
75#65004C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3402—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×D20C2311yescharacteristic
82C22×C4×D5—21no—
83C22×Dic10D411yescharacteristic
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C22×Dic10C2311yescharacteristic
87C2×C5×SD16—24no—
88C2×C5×SD16C2314yes—
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C4×C5×Q8—22no—
92C4×C5×Q8C2314yes—
93C4×C5×D4—22no—
94C4×C5×D4C2314yes—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C22⋊C4—21no—
99C2×C42×C5—21no—
100C2×C42×C5C2311yescharacteristic
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105#4093—22no—
106#4093C2314yes—
107#4090—22no—
108#4090C2314yes—
109C2×#689—42no—
110C2×#689—42no—
111C2×#689C2314yes—
112C2×#689C2314yes—
113#4082—22no—
114#4082—22no—
115#4082C2314yes—
116#4082C2314yes—
117C2×#687—42no—
118C2×#687C2314yes—
119C2×#686—42no—
120C2×#686C2314yes—
121C2×#685—21no—
122C2×#685—21no—
123C2×#685—21no—
124C2×#685—21no—
125C2×#685—21no—
126#4072—28no—
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5—21no—
129C2×C4⋊Dic5D411yescharacteristic
130#4070—28no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683D411yescharacteristic
137C2×#683D411yescharacteristic
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5—21no—
141C2×C4×Dic5C2311yescharacteristic
142C2×C4×Dic5C2311yescharacteristic
143C22×#168C2311yescharacteristic
144C22×#168C2311yescharacteristic
145C2×Dic20—24no—
146C2×Dic20—42no—
147C2×Dic20C2314yes—
148C2×Dic20C2314yes—
149C2×#677—24no—
150C2×#677—42no—
151C2×#677C2314yes—
152C2×#677C2314yes—
153#4044—28no—
154#4042—28no—
155#4039—22no—
156#4039C2314yes—
157#4033—22no—
158#4033—22no—
159#4033—22no—
160#4033C2314yes—
161#4033C2314yes—
162#4033C2314yes—
163#4025—28no—
164#4025—28no—
165#4022—28no—
166#4021—22no—
167#4021C2314yes—
168#4018—28no—
169#4015—22no—
170#4015C2314yes—
171C4×Dic10D414yes—
172C4×Dic10C2314yes—
173C5×#107C2314yes—
174C5×#103C2314yes—
175C5×#102C2314yes—
176C5×#97C2314yes—
177#3947C2314yes—
178#3946C2314yes—
179#3946C2314yes—
180C8×Dic5C2314yes—
181#3942C2314yes—
182#3942C2314yes—
183#3942C2314yes—
184#3941C2314yes—
185C4⋊#168C2314yes—
186C2×#556—51no—
187C2×#556—51no—
188#3402—516no—
189C2×#497—51no—
190C2×#497—51no—
191C2×#495—51no—
192C2×#464—51no—
193C2×#464—51no—
194C2×#462—51no—
195C2×#462—51no—
196C2×#463—51no—
197C2×#463—51no—
198C2×#446—51no—
199C2×#440—51no—
200C2×#440D511yescharacteristic, complemented
201C2×C4×Q16—51no—
202C24×C5—21no—
203C23×D5—21no—
204C2×C5×Q8—21no—
205C2×C5×Q8—22no—
206C2×C5×Q8—22no—
207C2×C5×Q8C2412yes—
208C2×C5×D4—21no—
209C2×C5×D4—22no—
210C2×C5×D4—22no—
211C2×C5×D4C2412yes—
212C22×C4×C5—21no—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5—24no—
216C22×C4×C5—44no—
217C22×C4×C5C2×D411yescharacteristic
218C22×C4×C5C2×D411yescharacteristic
219C22×C4×C5C2411yescharacteristic
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×D20—22no—
228C2×D20—22no—
229C2×D20—21no—
230C2×D20C2412yes—
231C2×C4×D5—24no—
232C2×C4×D5—44no—
233C2×Dic10—22no—
234C2×Dic10—22no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—22no—
239C2×Dic10—21no—
240C2×Dic10—21no—
241C2×Dic10—21no—
242C2×Dic10—42no—
243C2×Dic10C2×D414yes—
244C2×Dic10C2412yes—
245C2×Dic10C2412yes—
246C2×Dic10C2412yes—
247C5×SD16—28no—
248C2×C5×C8—22no—
249C2×C5×C8#4114yes—
250C2×C5×C8C2412yes—
251C2×C5×C8C2412yes—
252C5×C4⋊C4—24no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4—21no—
255C5×C4⋊C4C2412yes—
256C5×C4⋊C4C2412yes—
257C5×C22⋊C4—24no—
258C42×C5—24no—
259C42×C5C2×D412yes—
260C42×C5C2412yes—
261C22⋊Dic5—24no—
262C22⋊Dic5—24no—
263C22⋊Dic5—24no—
264C22⋊Dic5—24no—
265#689—44no—
266#689—44no—
267#687—44no—
268#686—44no—
269#685—24no—
270#685—24no—
271#685—24no—
272#685—24no—
273#685—24no—
274C4⋊Dic5—24no—
275C4⋊Dic5—24no—
276C4⋊Dic5C2×D414yes—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281#683—24no—
282#683C2×D414yes—
283#683C2×D414yes—
284C4×Dic5—24no—
285C4×Dic5—24no—
286C4×Dic5—24no—
287C4×Dic5C2×D412yes—
288C4×Dic5C2×D412yes—
289C4×Dic5C2412yes—
290C4×Dic5C2412yes—
291C2×#168—22no—
292C2×#168—22no—
293C2×#168C2412yes—
294C2×#168C2412yes—
295Dic20—28no—
296Dic20—44no—
297#677—28no—
298#677—44no—
299C22×Q16—51no—
300C22×Q16—51no—
301C22×Q16—51no—
302C22×Q16—51no—
303C22×SD16—51no—
304C22×SD16—51no—
305C22×SD16—51no—
306C22×SD16C2×D511yescharacteristic
307C22×D8—51no—
308#556—58no—
309#556—58no—
310#556—104no—
311#556—104no—
312C2×C4⋊Q8—51no—
313C2×C4⋊Q8—51no—
314C2×#126—101no—
315C2×#126—101no—
316C2×#126—101no—
317C2×#126—101no—
318C2×#124—51no—
319C2×#124—51no—
320C2×#124—51no—
321C2×#124—51no—
322C2×C22⋊Q8—101no—
323C2×C22⋊Q8—101no—
324C2×C4×Q8—51no—
325C2×C4×Q8—51no—
326C2×C4×Q8—51no—
327C2×C4×Q8—51no—
328C2×C4×Q8C2×D511yescharacteristic
329C2×C4×D4—51no—
330C2×C4×D4C2×D511yescharacteristic
331C2×#117—101no—
332C2×#117—101no—
333#497—58no—
334#497—58no—
335#495—58no—
336#464—58no—
337#464—58no—
338#463—58no—
339#463—58no—
340#462—58no—
341#462—58no—
342#446—58no—
343#440—58no—
344#440C2×D518yescomplemented
345C4×Q16—58no—
346C2×#107C2×D511yescharacteristic
347C2×C4⋊C8—51no—
348C2×C4⋊C8—51no—
349C2×C4⋊C8—51no—
350C2×#103—51no—
351C2×#103—51no—
352C2×#103—51no—
353C2×#103C2×D511yescharacteristic
354C2×#102—51no—
355C2×#102C2×D511yescharacteristic
356C2×#97—51no—
357C2×#97C2×D511yescharacteristic
358C2×C4×C8—51no—
359C23×C5—22no—
360C23×C5—42no—
361C23×C5—42no—
362C23×C5—42no—
363C23×C5C22×D411yescharacteristic
364C22×D5—22no—
365C22×D5—42no—
366C22×D5—42no—
367C22×D5—42no—
368C5×Q8—22no—
369C5×Q8—22no—
370C5×Q8—42no—
371C5×D4—22no—
372C5×D4—22no—
373C5×D4—42no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—22no—
378C2×C4×C5—22no—
379C2×C4×C5—48no—
380C2×C4×C5—42no—
381C2×C4×C5—42no—
382C2×C4×C5—42no—
383C2×C4×C5C22×D412yes—
384C2×C4×C5C22×D412yes—
385C2×C4×C5C22×D411yescharacteristic
386C2×C4×C5C2×#4112yes—
387C2×C4×C5H(5,𝔽2)12yes—
388C2×C4×C5C2511yescharacteristic
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—22no—
395C2×Dic5—22no—
396C2×Dic5—42no—
397C2×Dic5—42no—
398C2×Dic5—42no—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C2×Dic5C22×D412yes—
402C2×Dic5C22×D412yes—
403D20—22no—
404D20—22no—
405D20—42no—
406C4×D5—48no—
407Dic10—22no—
408Dic10—22no—
409Dic10—22no—
410Dic10—22no—
411Dic10—22no—
412Dic10—22no—
413Dic10—44no—
414Dic10—42no—
415Dic10—42no—
416Dic10—42no—
417C5×C8—22no—
418C5×C8C2×#4114yes—
419#168—22no—
420#168—22no—
421C22×Q8—51no—
422C22×Q8—51no—
423C22×Q8—51no—
424C22×Q8—51no—
425C22×Q8C22×D511yescharacteristic
426C22×D4—51no—
427C22×D4C22×D511yescharacteristic
428C23×C4—21no—
429C23×C4—101no—
430C2×Q16—54no—
431C2×Q16—54no—
432C2×Q16—54no—
433C2×Q16—54no—
434C2×Q16—104no—
435C2×Q16—202no—
436C2×Q16—202no—
437C2×Q16—202no—
438C2×SD16—24no—
439C2×SD16—54no—
440C2×SD16—54no—
441C2×SD16—54no—
442C2×SD16—104no—
443C2×SD16—202no—
444C2×SD16—202no—
445C2×SD16C22×D514yes—
446C2×D8—54no—
447C2×D8—202no—
448C22×C8—51no—
449C22×C8—51no—
450C22×C8C22×D511yescharacteristic
451C22×C8C22×D511yescharacteristic
452C4⋊Q8—54no—
453C4⋊Q8—54no—
454C4⋊Q8—102no—
455C4⋊Q8—102no—
456#126—108no—
457#126—108no—
458#126—108no—
459#126—108no—
460#124—54no—
461#124—54no—
462#124—54no—
463#124—54no—
464#124—102no—
465#124—102no—
466#124—102no—
467#124—102no—
468C22⋊Q8—108no—
469C22⋊Q8—108no—
470C4×Q8—22no—
471C4×Q8—54no—
472C4×Q8—54no—
473C4×Q8—54no—
474C4×Q8—54no—
475C4×Q8—54no—
476C4×Q8—102no—
477C4×Q8—102no—
478C4×Q8—102no—
479C4×Q8C22×D514yes—
480C4×D4—22no—
481C4×D4—54no—
482C4×D4—102no—
483C4×D4C22×D514yes—
484#117—108no—
485#117—108no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—51no—
488C2×C4⋊C4—51no—
489C2×C4⋊C4—51no—
490C2×C4⋊C4—101no—
491C2×C4⋊C4—101no—
492C2×C4⋊C4—101no—
493C2×C4⋊C4—101no—
494C2×C4⋊C4—101no—
495C2×C4⋊C4—101no—
496C2×C4⋊C4—101no—
497C2×C4⋊C4C22×D511yescharacteristic
498C2×C4⋊C4C22×D511yescharacteristic
499C2×C22⋊C4—21no—
500C2×C22⋊C4—101no—
501C2×C22⋊C4—101no—
502C2×C22⋊C4—101no—
503C2×C22⋊C4—101no—
504C2×C22⋊C4—101no—
505C2×C22⋊C4—101no—
506C2×C22⋊C4—101no—
507C2×C22⋊C4—101no—
508C2×C22⋊C4—101no—
509C2×C42—21no—
510C2×C42—51no—
511C2×C42—51no—
512C2×C42—101no—
513C2×C42—101no—
514C2×C42—101no—
515C2×C42C22×D511yescharacteristic
516#107C22×D514yes—
517C4⋊C8—54no—
518C4⋊C8—54no—
519C4⋊C8—54no—
520#103—54no—
521#103—54no—
522#103—54no—
523#103C22×D514yes—
524#102—54no—
525#102C22×D514yes—
526#97—54no—
527#97C22×D514yes—
528C4×C8—54no—
529C22×C5—42no—
530C22×C5—42no—
531C22×C5—42no—
532C22×C5—84no—
533C22×C5#55012yes—
534C22×C5#57512yes—
535C22×C5#57812yes—
536C22×C5C23×D411yescharacteristic
537C2×D5—42no—
538C2×D5—42no—
539C2×D5—42no—
540C2×D5—84no—
541C4×C5—22no—
542C4×C5—22no—
543C4×C5—42no—
544C4×C5—42no—
545C4×C5—42no—
546C4×C5#55012yes—
547C4×C5C22×#4111yescharacteristic
548C4×C5C2×H(5,𝔽2)11yescharacteristic
549Dic5—22no—
550Dic5—22no—
551Dic5—22no—
552Dic5—22no—
553Dic5—42no—
554Dic5—42no—
555Dic5—42no—
556C24—21no—
557C24—101no—
558C2×Q8—21no—
559C2×Q8—22no—
560C2×Q8—22no—
561C2×Q8—54no—
562C2×Q8—52no—
563C2×Q8—52no—
564C2×Q8—52no—
565C2×Q8—101no—
566C2×Q8—101no—
567C2×Q8—101no—
568C2×Q8—102no—
569C2×Q8—102no—
570C2×Q8—102no—
571C2×Q8—102no—
572C2×Q8—102no—
573C2×Q8—102no—
574C2×Q8—202no—
575C2×Q8C23×D512yes—
576C2×D4—22no—
577C2×D4—21no—
578C2×D4—22no—
579C2×D4—52no—
580C2×D4—102no—
581C2×D4—101no—
582C2×D4—102no—
583C2×D4C23×D512yes—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—24no—
588C22×C4—44no—
589C22×C4—51no—
590C22×C4—51no—
591C22×C4—51no—
592C22×C4—51no—
593C22×C4—104no—
594C22×C4—101no—
595C22×C4—101no—
596C22×C4—101no—
597C22×C4—204no—
598C22×C4D4×D511yescharacteristic
599C22×C4D4×D511yescharacteristic
600C22×C4C23×D511yescharacteristic
601Q16—108no—
602Q16—204no—
603Q16—204no—
604Q16—204no—
605SD16—28no—
606SD16—108no—
607SD16—204no—
608SD16—204no—
609D8—204no—
610C2×C8—22no—
611C2×C8—52no—
612C2×C8—52no—
613C2×C8—102no—
614C2×C8—102no—
615C2×C8#70914yes—
616C2×C8C23×D512yes—
617C2×C8C23×D512yes—
618C4⋊C4—24no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—54no—
622C4⋊C4—54no—
623C4⋊C4—54no—
624C4⋊C4—104no—
625C4⋊C4—104no—
626C4⋊C4—104no—
627C4⋊C4—104no—
628C4⋊C4—104no—
629C4⋊C4—104no—
630C4⋊C4—104no—
631C4⋊C4C23×D512yes—
632C4⋊C4C23×D512yes—
633C22⋊C4—24no—
634C22⋊C4—104no—
635C22⋊C4—104no—
636C22⋊C4—104no—
637C22⋊C4—104no—
638C22⋊C4—104no—
639C22⋊C4—104no—
640C22⋊C4—104no—
641C22⋊C4—104no—
642C22⋊C4—104no—
643C42—24no—
644C42—52no—
645C42—52no—
646C42—52no—
647C42—52no—
648C42—104no—
649C42—104no—
650C42—104no—
651C42D4×D512yes—
652C42C23×D512yes—
653C2×C5—82no—
654C2×C5#340214yescomplemented
655C2×C5C2×#55011yescharacteristic
656C2×C5C2×#57511yescharacteristic
657C2×C5C2×#57811yescharacteristic
658D5—82no—
659C23—22no—
660C23—42no—
661C23—42no—
662C23—42no—
663C23—102no—
664C23—202no—
665C23—202no—
666C23—202no—
667C23C2×D4×D511yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—42no—
671Q8—102no—
672Q8—102no—
673Q8—102no—
674Q8—102no—
675Q8—102no—
676Q8—102no—
677Q8—204no—
678Q8—202no—
679Q8—202no—
680Q8—202no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—102no—
685D4—102no—
686D4—202no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—48no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—52no—
697C2×C4—52no—
698C2×C4—52no—
699C2×C4—52no—
700C2×C4—102no—
701C2×C4—102no—
702C2×C4—102no—
703C2×C4—102no—
704C2×C4—102no—
705C2×C4—102no—
706C2×C4—102no—
707C2×C4—208no—
708C2×C4—202no—
709C2×C4—202no—
710C2×C4—202no—
711C2×C4C2×#70912yes—
712C2×C4C2×D4×D512yes—
713C2×C4C2×D4×D512yes—
714C2×C4C2×D4×D511yescharacteristic
715C2×C4#414912yes—
716C2×C4C24×D511yescharacteristic
717C8—22no—
718C8—102no—
719C8—102no—
720C8C2×#70914yes—
721C5C2×#340211yescharacteristic, complemented, Sylow
722C22—42no—
723C22—42no—
724C22—42no—
725C22—84no—
726C22—202no—
727C22—202no—
728C22—202no—
729C22—404no—
730C22#6588712yes—
731C22#6610712yes—
732C22#6611312yes—
733C22C22×D4×D511yescharacteristic
734C4—22no—
735C4—22no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—102no—
740C4—102no—
741C4—102no—
742C4—102no—
743C4—202no—
744C4—202no—
745C4—202no—
746C4#6588712yes—
747C4C22×#70911yescharacteristic
748C4C2×#414911yescharacteristic
749C2—82no—
750C2—402no—
751C2#1061149614yesdirect product factor
752C2C2×#6588711yescharacteristic
753C2C2×#6610711yescharacteristic
754C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#440C2
socleC23×C5C22×D4
prime radicalC22×#686C22
hypercenterC2×#440D5
hypocenterC5C2×#3402
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×#65902C2semidirect
2. C2×#65876C2semidirect
3. C2×C5×#440C2semidirect
4. C2×#65456C2semidirect
6. C2×#65320C2semidirect
8. #10611496C2direct (N × H)
9. C2×#65178C2semidirect
10. C2×#65162C2semidirect
11. C2×#65087C2semidirect
12. C2×#65082C2semidirect
13. C2×#65056C2semidirect
15. C2×#65004C2semidirect
16. C2×#64990C2semidirect
35. #65902C22semidirect
37. #65876C22semidirect
51. C5×#440C22semidirect
57. #65456C22semidirect
62. #65320C22semidirect
69. #65178C22semidirect
70. #65162C22semidirect
71. #65087C22semidirect
72. #65082C22semidirect
74. #65056C22semidirect
75. #65004C22semidirect
76. #64990C22semidirect
200. C2×#440D5semidirect
344. #440C2×D5semidirect
654. C2×C5#3402semidirect
721. C5C2×#3402semidirect
751. C2#10611496direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659022
C2×#658762
C2×C5×#4402
C2×#654562
C2×#654572
C2×#653202
C2×#653052
#106114962
C2×#651782
C2×#651622
C2×#650872
C2×#650822
C2×#650562
C2×#650762
C2×#650042
C2×#649902
C2×#34025