Finite Group Databasebeta

← C2×#10611552 #12980269

Subgroups — C2×#10611552 #12980269

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65901C211yesmaximal, characteristic, complemented
2C2×#65902C211yesmaximal, characteristic
3C2×C5×#441C211yesmaximal, characteristic, complemented
4C2×#65479C211yesmaximal, characteristic
5C2×#65470C211yesmaximal, characteristic, complemented
6C2×#65320C211yesmaximal, characteristic, complemented
7C2×#65317C211yesmaximal, characteristic
8#10611552C2116yesmaximal, direct product factor
9C2×#65142C211yesmaximal, characteristic, complemented
10C2×#65141C211yesmaximal, characteristic
11C2×#65087C211yesmaximal, characteristic
12C2×#65082C211yesmaximal, characteristic, complemented
13C2×#65082C211yesmaximal, characteristic, complemented
14C2×#65107C211yesmaximal, characteristic
15C2×#65004C211yesmaximal, characteristic
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×#4093C2211yescharacteristic
21C2×#4090C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C2×#4090C2211yescharacteristic
24C22×#689C2211yescharacteristic
25C22×#689C2211yescharacteristic
26C22×#689C2211yescharacteristic
27C22×#688C2211yescharacteristic
28C22×Dic20C2211yescharacteristic
29C22×Dic20C2211yescharacteristic
30C22×#677C2211yescharacteristic
31C22×#677C2211yescharacteristic
32#65902—24no—
33#65902C2218yes—
34#65901—24no—
35#65901C2218yescomplemented
36C2×#4044—21no—
37C2×#4042—21no—
38C2×#4039C2211yescharacteristic
39C2×#4035—21no—
40C2×#4035—21no—
41C2×#4033C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4022—21no—
45C2×#4021C2211yescharacteristic
46C2×#4018—21no—
47C2×#4016—21no—
48C2×#4015C2211yescharacteristic
49C2×C4×Dic10—21no—
50C2×C4×Dic10C2211yescharacteristic
51C5×#441C2218yescomplemented
52C2×C5×#106C2211yescharacteristic
53C2×C5×#103C2211yescharacteristic
54C2×C5×#103C2211yescharacteristic
55C2×C5×#97C2211yescharacteristic
56#65479C2218yes—
57#65470C2218yescomplemented
58C2×#3947C2211yescharacteristic
59C2×#3946C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×C8×Dic5C2211yescharacteristic
62#65320C2218yescomplemented
63#65317C2218yes—
64C2×#3942C2211yescharacteristic
65C2×#3942C2211yescharacteristic
66C2×#3942C2211yescharacteristic
67C2×#3941C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65142C2218yescomplemented
70#65141C2218yes—
71#65107C2218yes—
72#65087C2218yes—
73#65082C2218yescomplemented
74#65082C2218yescomplemented
75#65004C2218yes—
76#64990C2218yescomplemented
77C2×#3398—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×D20C2311yescharacteristic
81C22×C4×D5—21no—
82C22×Dic10D411yescharacteristic
83C22×Dic10C2311yescharacteristic
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C2×C5×Q16—24no—
87C2×C5×Q16C2314yes—
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C4×C5×Q8—22no—
91C4×C5×Q8—22no—
92C4×C5×Q8C2314yes—
93C4×C5×Q8C2314yes—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C42×C5—21no—
99C2×C42×C5—21no—
100C2×C42×C5C2311yescharacteristic
101#4093—22no—
102#4093C2314yes—
103#4090—22no—
104#4090—22no—
105#4090—22no—
106#4090C2314yes—
107#4090C2314yes—
108#4090C2314yes—
109C2×#689—42no—
110C2×#689—42no—
111C2×#689—42no—
112C2×#689C2314yes—
113C2×#689C2314yes—
114C2×#689C2314yes—
115C2×#688—42no—
116C2×#688C2314yes—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685—21no—
120C2×#685—21no—
121C2×#685—21no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5D411yescharacteristic
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683D411yescharacteristic
135C2×#683D411yescharacteristic
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5C2311yescharacteristic
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143C2×Dic20—24no—
144C2×Dic20—42no—
145C2×Dic20C2314yes—
146C2×Dic20C2314yes—
147C2×#677—24no—
148C2×#677—42no—
149C2×#677C2314yes—
150C2×#677C2314yes—
151#4044—28no—
152#4042—28no—
153#4039—22no—
154#4039C2314yes—
155#4035—28no—
156#4035—28no—
157#4033—22no—
158#4033—22no—
159#4033—22no—
160#4033C2314yes—
161#4033C2314yes—
162#4033C2314yes—
163#4022—28no—
164#4021—22no—
165#4021C2314yes—
166#4018—28no—
167#4016—28no—
168#4015—22no—
169#4015C2314yes—
170C4×Dic10—28no—
171C4×Dic10D414yes—
172C4×Dic10C2314yes—
173C5×#106C2314yes—
174C5×#103C2314yes—
175C5×#103C2314yes—
176C5×#97C2314yes—
177#3947C2314yes—
178#3946C2314yes—
179#3946C2314yes—
180C8×Dic5C2314yes—
181#3942C2314yes—
182#3942C2314yes—
183#3942C2314yes—
184#3941C2314yes—
185C4⋊#168C2314yes—
186C2×#557—51no—
187C2×#556—51no—
188#3398—516no—
189C2×#497—51no—
190C2×#497—51no—
191C2×#494—51no—
192C2×#464—51no—
193C2×#464—51no—
194C2×#462—51no—
195C2×#462—51no—
196C2×#462—51no—
197C2×#461—51no—
198C2×#446—51no—
199C2×#441—51no—
200C2×#441D511yescharacteristic, complemented
201C2×C4×SD16—51no—
202C23×D5—21no—
203C2×C5×Q8—21no—
204C2×C5×Q8—21no—
205C2×C5×Q8—22no—
206C2×C5×Q8—22no—
207C2×C5×Q8—22no—
208C2×C5×Q8—22no—
209C2×C5×Q8C2412yes—
210C2×C5×Q8C2412yes—
211C22×C4×C5—21no—
212C22×C4×C5—21no—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2411yescharacteristic
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—44no—
231C2×Dic10—24no—
232C2×Dic10—22no—
233C2×Dic10—22no—
234C2×Dic10—22no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—21no—
240C2×Dic10—21no—
241C2×Dic10C2×D414yes—
242C2×Dic10C2412yes—
243C2×Dic10C2412yes—
244C2×Dic10C2412yes—
245C5×Q16—28no—
246C2×C5×C8—22no—
247C2×C5×C8#4114yes—
248C2×C5×C8C2412yes—
249C2×C5×C8C2412yes—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—24no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4C2412yes—
255C5×C4⋊C4C2412yes—
256C42×C5—24no—
257C42×C5—24no—
258C42×C5C2×D412yes—
259C42×C5C2412yes—
260#689—44no—
261#689—44no—
262#689—44no—
263#688—44no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685—24no—
269C4⋊Dic5—24no—
270C4⋊Dic5—24no—
271C4⋊Dic5C2×D414yes—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281#683C2×D414yes—
282#683C2×D414yes—
283C4×Dic5—24no—
284C4×Dic5—24no—
285C4×Dic5—24no—
286C4×Dic5C2×D412yes—
287C4×Dic5C2×D412yes—
288C4×Dic5C2412yes—
289C4×Dic5C2412yes—
290C2×#168—22no—
291C2×#168—22no—
292C2×#168C2412yes—
293C2×#168C2412yes—
294Dic20—28no—
295Dic20—44no—
296#677—28no—
297#677—44no—
298C22×Q16—51no—
299C22×Q16—51no—
300C22×Q16—51no—
301C22×Q16—51no—
302C22×Q16—51no—
303C22×Q16C2×D511yescharacteristic
304C22×SD16—51no—
305C22×SD16—51no—
306C22×SD16—51no—
307#557—58no—
308#557—104no—
309#556—58no—
310#556—104no—
311C2×C4⋊Q8—51no—
312C2×C4⋊Q8—51no—
313C2×C4⋊Q8—51no—
314C2×C4⋊Q8—51no—
315C2×#126—101no—
316C2×#126—101no—
317C2×#125—101no—
318C2×#125—101no—
319C2×#125—101no—
320C2×#124—51no—
321C2×#124—51no—
322C2×C22⋊Q8—101no—
323C2×C4×Q8—51no—
324C2×C4×Q8—51no—
325C2×C4×Q8—51no—
326C2×C4×Q8—51no—
327C2×C4×Q8—101no—
328C2×C4×Q8C2×D511yescharacteristic
329C2×C4×Q8C2×D511yescharacteristic
330C2×C4×D4—51no—
331C2×#117—101no—
332#497—58no—
333#497—58no—
334#494—58no—
335#464—58no—
336#464—58no—
337#462—58no—
338#462—58no—
339#462—58no—
340#461—58no—
341#446—58no—
342#441—58no—
343#441C2×D518yescomplemented
344C4×SD16—58no—
345C2×#106C2×D511yescharacteristic
346C2×C4⋊C8—51no—
347C2×C4⋊C8—51no—
348C2×C4⋊C8—51no—
349C2×#103—51no—
350C2×#103—51no—
351C2×#103—51no—
352C2×#103C2×D511yescharacteristic
353C2×#103C2×D511yescharacteristic
354C2×#102—51no—
355C2×#97—51no—
356C2×#97C2×D511yescharacteristic
357C2×C4×C8—51no—
358C23×C5C22×D411yescharacteristic
359C22×D5—22no—
360C22×D5—42no—
361C22×D5—42no—
362C22×D5—42no—
363C5×Q8—22no—
364C5×Q8—22no—
365C5×Q8—22no—
366C5×Q8—22no—
367C5×Q8—42no—
368C5×Q8—42no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5C22×D412yes—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D411yescharacteristic
382C2×C4×C5C2×#4112yes—
383C2×C4×C5H(5,𝔽2)12yes—
384C2×C4×C5C2511yescharacteristic
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5#13714yes—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C2×Dic5C22×D412yes—
399D20—22no—
400D20—22no—
401D20—42no—
402C4×D5—48no—
403Dic10—28no—
404Dic10—22no—
405Dic10—22no—
406Dic10—22no—
407Dic10—22no—
408Dic10—22no—
409Dic10—22no—
410Dic10—42no—
411Dic10—42no—
412Dic10—42no—
413C5×C8—22no—
414C5×C8C2×#4114yes—
415#168—22no—
416#168—22no—
417C22×Q8—51no—
418C22×Q8—51no—
419C22×Q8—51no—
420C22×Q8—51no—
421C22×Q8C22×D511yescharacteristic
422C22×Q8C22×D511yescharacteristic
423C22×D4—51no—
424C23×C4—101no—
425C2×Q16—24no—
426C2×Q16—54no—
427C2×Q16—54no—
428C2×Q16—54no—
429C2×Q16—54no—
430C2×Q16—54no—
431C2×Q16—104no—
432C2×Q16—202no—
433C2×Q16—202no—
434C2×Q16—202no—
435C2×Q16—202no—
436C2×Q16C22×D514yes—
437C2×SD16—54no—
438C2×SD16—54no—
439C2×SD16—54no—
440C2×SD16—104no—
441C2×SD16—202no—
442C2×SD16—202no—
443C22×C8—51no—
444C22×C8—51no—
445C22×C8C22×D511yescharacteristic
446C22×C8C22×D511yescharacteristic
447C4⋊Q8—54no—
448C4⋊Q8—54no—
449C4⋊Q8—54no—
450C4⋊Q8—54no—
451C4⋊Q8—102no—
452C4⋊Q8—102no—
453C4⋊Q8—102no—
454C4⋊Q8—102no—
455#126—108no—
456#126—108no—
457#125—108no—
458#125—108no—
459#125—108no—
460#124—54no—
461#124—54no—
462#124—102no—
463#124—102no—
464C22⋊Q8—108no—
465C4×Q8—22no—
466C4×Q8—22no—
467C4×Q8—54no—
468C4×Q8—54no—
469C4×Q8—54no—
470C4×Q8—54no—
471C4×Q8—54no—
472C4×Q8—108no—
473C4×Q8—102no—
474C4×Q8—102no—
475C4×Q8—102no—
476C4×Q8C22×D514yes—
477C4×Q8C22×D514yes—
478C4×D4—54no—
479C4×D4—102no—
480#117—108no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—51no—
484C2×C4⋊C4—51no—
485C2×C4⋊C4—51no—
486C2×C4⋊C4—101no—
487C2×C4⋊C4—101no—
488C2×C4⋊C4—101no—
489C2×C4⋊C4—101no—
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—101no—
500C2×C22⋊C4—101no—
501C2×C22⋊C4—101no—
502C2×C22⋊C4—101no—
503C2×C22⋊C4—101no—
504C2×C42—21no—
505C2×C42—21no—
506C2×C42—51no—
507C2×C42—51no—
508C2×C42—101no—
509C2×C42—101no—
510C2×C42—101no—
511C2×C42C22×D511yescharacteristic
512#106C22×D514yes—
513C4⋊C8—54no—
514C4⋊C8—54no—
515C4⋊C8—54no—
516#103—54no—
517#103—54no—
518#103—54no—
519#103C22×D514yes—
520#103C22×D514yes—
521#102—54no—
522#97—54no—
523#97C22×D514yes—
524C4×C8—54no—
525C22×C5#55012yes—
526C22×C5C2×#13712yes—
527C22×C5#57812yes—
528C22×C5C23×D411yescharacteristic
529C2×D5—42no—
530C2×D5—42no—
531C2×D5—42no—
532C2×D5—84no—
533C4×C5—22no—
534C4×C5—22no—
535C4×C5—42no—
536C4×C5—42no—
537C4×C5—42no—
538C4×C5—42no—
539C4×C5#55012yes—
540C4×C5C22×#4111yescharacteristic
541C4×C5C2×H(5,𝔽2)11yescharacteristic
542Dic5—22no—
543Dic5—22no—
544Dic5—22no—
545Dic5—42no—
546Dic5—42no—
547Dic5—42no—
548Dic5C2×#13714yes—
549C24—101no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—22no—
553C2×Q8—22no—
554C2×Q8—22no—
555C2×Q8—22no—
556C2×Q8—54no—
557C2×Q8—52no—
558C2×Q8—52no—
559C2×Q8—52no—
560C2×Q8—104no—
561C2×Q8—101no—
562C2×Q8—101no—
563C2×Q8—101no—
564C2×Q8—102no—
565C2×Q8—102no—
566C2×Q8—102no—
567C2×Q8—102no—
568C2×Q8—102no—
569C2×Q8—102no—
570C2×Q8C23×D512yes—
571C2×Q8C23×D512yes—
572C2×D4—52no—
573C2×D4—102no—
574C2×D4—101no—
575C2×D4—102no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—51no—
581C22×C4—51no—
582C22×C4—51no—
583C22×C4—51no—
584C22×C4—104no—
585C22×C4—101no—
586C22×C4—101no—
587C22×C4—101no—
588C22×C4—204no—
589C22×C4D4×D511yescharacteristic
590C22×C4D4×D511yescharacteristic
591C22×C4C23×D511yescharacteristic
592Q16—28no—
593Q16—108no—
594Q16—204no—
595Q16—204no—
596Q16—204no—
597Q16—204no—
598SD16—108no—
599SD16—204no—
600SD16—204no—
601C2×C8—22no—
602C2×C8—52no—
603C2×C8—52no—
604C2×C8—102no—
605C2×C8—102no—
606C2×C8#70914yes—
607C2×C8C23×D512yes—
608C2×C8C23×D512yes—
609C4⋊C4—24no—
610C4⋊C4—24no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—54no—
614C4⋊C4—54no—
615C4⋊C4—54no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—104no—
619C4⋊C4—104no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4—104no—
623C4⋊C4—104no—
624C4⋊C4—104no—
625C4⋊C4—104no—
626C4⋊C4—104no—
627C4⋊C4C23×D512yes—
628C4⋊C4C23×D512yes—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C22⋊C4—104no—
632C22⋊C4—104no—
633C22⋊C4—104no—
634C42—24no—
635C42—24no—
636C42—52no—
637C42—52no—
638C42—52no—
639C42—52no—
640C42—104no—
641C42—104no—
642C42—104no—
643C42D4×D512yes—
644C42C23×D512yes—
645C2×C5#339814yescomplemented
646C2×C5C2×#55011yescharacteristic
647C2×C5C22×#13711yescharacteristic
648C2×C5C2×#57811yescharacteristic
649D5—82no—
650C23—102no—
651C23—202no—
652C23—202no—
653C23—202no—
654C23C2×D4×D511yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—22no—
658Q8—22no—
659Q8—42no—
660Q8—42no—
661Q8—108no—
662Q8—102no—
663Q8—102no—
664Q8—102no—
665Q8—102no—
666Q8—102no—
667Q8—102no—
668Q8—202no—
669Q8—202no—
670Q8—202no—
671D4—102no—
672D4—102no—
673D4—202no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—54no—
685C2×C4—52no—
686C2×C4—52no—
687C2×C4—52no—
688C2×C4—52no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—102no—
694C2×C4—102no—
695C2×C4—208no—
696C2×C4—202no—
697C2×C4—202no—
698C2×C4—202no—
699C2×C4C2×#70912yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D512yes—
702C2×C4C2×D4×D511yescharacteristic
703C2×C4#414912yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—102no—
707C8—102no—
708C8C2×#70914yes—
709C5C2×#339811yescharacteristic, complemented, Sylow
710C22—202no—
711C22—202no—
712C22—202no—
713C22—404no—
714C22#6588712yes—
715C22D5×#13712yes—
716C22#6611312yes—
717C22C22×D4×D511yescharacteristic
718C4—22no—
719C4—22no—
720C4—42no—
721C4—42no—
722C4—42no—
723C4—42no—
724C4—54no—
725C4—102no—
726C4—102no—
727C4—102no—
728C4—202no—
729C4—202no—
730C4—202no—
731C4#6588712yes—
732C4C22×#70911yescharacteristic
733C4C2×#414911yescharacteristic
734C2—402no—
735C2#1061155214yesdirect product factor
736C2C2×#6588711yescharacteristic
737C2C2×D5×#13711yescharacteristic
738C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#441C2
socleC23×C5C22×D4
prime radicalC22×D20C23
hypercenterC2×#441D5
hypocenterC5C2×#3398
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×#65901C2semidirect
3. C2×C5×#441C2semidirect
5. C2×#65470C2semidirect
6. C2×#65320C2semidirect
8. #10611552C2direct (N × H)
9. C2×#65142C2semidirect
12. C2×#65082C2semidirect
13. C2×#65082C2semidirect
16. C2×#64990C2semidirect
35. #65901C22semidirect
51. C5×#441C22semidirect
57. #65470C22semidirect
62. #65320C22semidirect
69. #65142C22semidirect
73. #65082C22semidirect
74. #65082C22semidirect
76. #64990C22semidirect
200. C2×#441D5semidirect
343. #441C2×D5semidirect
645. C2×C5#3398semidirect
709. C5C2×#3398semidirect
735. C2#10611552direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659012
C2×#659022
C2×C5×#4412
C2×#654792
C2×#654702
C2×#653202
C2×#653172
#106115522
C2×#651422
C2×#651412
C2×#650872
C2×#650822
C2×#651072
C2×#650042
C2×#649902
C2×#33985