Finite Group Databasebeta

← C2×#10612200 #12980263

Subgroups — C2×#10612200 #12980263

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×#66055C211yesmaximal, characteristic, complemented
2C2×#65902C211yesmaximal, characteristic
3C2×C5×#462C211yesmaximal, characteristic, complemented
4C2×#65479C211yesmaximal, characteristic
5C2×#65470C211yesmaximal, characteristic, complemented
6C2×#65474C211yesmaximal, characteristic
7C2×#65471C211yesmaximal, characteristic, complemented
8C2×#65375C211yesmaximal, characteristic
9C2×#65319C211yesmaximal, characteristic, complemented
10#10612200C2116yesmaximal, direct product factor
11C2×#65134C211yesmaximal, characteristic
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65082C211yesmaximal, characteristic, complemented
14C2×#65107C211yesmaximal, characteristic
15C2×#65078C211yesmaximal, characteristic, complemented
16C2×#65077C211yesmaximal, characteristic
17C22×C5×Q16C2211yescharacteristic
18C22×C5×Q16C2211yescharacteristic
19C2×C5×C4⋊Q8C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×#4093C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×#4090C2211yescharacteristic
25C2×#4090C2211yescharacteristic
26C2×#4090C2211yescharacteristic
27C22×#689C2211yescharacteristic
28C22×#689C2211yescharacteristic
29C22×#689C2211yescharacteristic
30C22×#688C2211yescharacteristic
31C22×#688C2211yescharacteristic
32C22×Dic20C2211yescharacteristic
33C22×#677C2211yescharacteristic
34#66055—24no—
35#66055C2218yescomplemented
36#65902—24no—
37#65902C2218yes—
38C2×#4044—21no—
39C2×#4042—21no—
40C2×#4039C2211yescharacteristic
41C2×#4036—21no—
42C2×#4035—21no—
43C2×#4035—21no—
44C2×#4033—21no—
45C2×#4033C2211yescharacteristic
46C2×#4022—21no—
47C2×#4021C2211yescharacteristic
48C2×#4018—21no—
49C2×C4×Dic10C2211yescharacteristic
50C2×C4×Dic10C2211yescharacteristic
51C5×#462C2218yescomplemented
52C2×C5×C4⋊C8C2211yescharacteristic
53C2×C5×#103C2211yescharacteristic
54C2×C5×#103C2211yescharacteristic
55C2×#3967C2211yescharacteristic
56#65479C2218yes—
57#65474C2218yes—
58#65471C2218yescomplemented
59#65470C2218yescomplemented
60C2×#3953C2211yescharacteristic
61C2×#3948C2211yescharacteristic
62C2×#3947C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65C2×C8×Dic5C2211yescharacteristic
66#65375C2218yes—
67#65319C2218yescomplemented
68C2×#3942C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3935C2211yescharacteristic
71#65134C2218yes—
72#65117C2218yescomplemented
73#65107C2218yes—
74#65082C2218yescomplemented
75#65078C2218yescomplemented
76#65077C2218yes—
77C2×#3398—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×C5×Q8C2311yescharacteristic
81C22×D20C2311yescharacteristic
82C22×C4×D5—21no—
83C22×Dic10D411yescharacteristic
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C2×C5×Q16—42no—
87C2×C5×Q16—42no—
88C2×C5×Q16C2314yes—
89C2×C5×Q16C2314yes—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C4×C5×Q8—22no—
95C4×C5×Q8C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102#4093—22no—
103#4093C2314yes—
104Q8×Dic5—22no—
105Q8×Dic5—22no—
106Q8×Dic5C2314yes—
107Q8×Dic5C2314yes—
108#4090—22no—
109#4090—22no—
110#4090—22no—
111#4090C2314yes—
112#4090C2314yes—
113#4090C2314yes—
114C2×#689—24no—
115C2×#689—24no—
116C2×#689—42no—
117C2×#689C2314yes—
118C2×#689C2314yes—
119C2×#689C2314yes—
120C2×#688—24no—
121C2×#688—42no—
122C2×#688C2314yes—
123C2×#688C2314yes—
124C2×#685—21no—
125C2×#685—21no—
126C2×#685—21no—
127C2×#685—21no—
128C2×#685—21no—
129C2×C4⋊Dic5—21no—
130C2×C4⋊Dic5—21no—
131C2×C4⋊Dic5D411yescharacteristic
132C2×C4⋊Dic5C2311yescharacteristic
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—21no—
140C2×#683—21no—
141C2×#683D411yescharacteristic
142C2×#683D411yescharacteristic
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×C4×Dic5—21no—
146C2×C4×Dic5—21no—
147C2×C4×Dic5C2311yescharacteristic
148C2×C4×Dic5C2311yescharacteristic
149C22×#168C2311yescharacteristic
150C22×#168C2311yescharacteristic
151C2×Dic20—42no—
152C2×Dic20C2314yes—
153C2×#677—42no—
154C2×#677C2314yes—
155#4044—28no—
156#4042—28no—
157#4039—22no—
158#4039C2314yes—
159#4036—28no—
160#4035—28no—
161#4035—28no—
162#4033—28no—
163#4033—22no—
164#4033C2314yes—
165#4022—28no—
166#4021—22no—
167#4021C2314yes—
168#4018—28no—
169C4×Dic10—22no—
170C4×Dic10D414yes—
171C4×Dic10C2314yes—
172C4×Dic10C2314yes—
173C5×C4⋊C8C2314yes—
174C5×#103C2314yes—
175C5×#103C2314yes—
176#3967C2314yes—
177#3953C2314yes—
178#3948C2314yes—
179#3947C2314yes—
180#3946C2314yes—
181#3946C2314yes—
182C8×Dic5C2314yes—
183#3942C2314yes—
184#3940C2314yes—
185#3935C2314yes—
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×#462D511yescharacteristic, complemented
197C2×#461—51no—
198C2×#446—51no—
199C2×#441—51no—
200C2×#441—51no—
201C2×C4×SD16—51no—
202C23×D5—21no—
203C2×C5×Q8—21no—
204C2×C5×Q8—21no—
205C2×C5×Q8—21no—
206C2×C5×Q8—22no—
207C2×C5×Q8—22no—
208C2×C5×Q8—22no—
209C2×C5×Q8—22no—
210C2×C5×Q8—22no—
211C2×C5×Q8—22no—
212C2×C5×Q8C2412yes—
213C2×C5×Q8C2412yes—
214C2×C5×Q8C2412yes—
215C22×C4×C5—21no—
216C22×C4×C5—21no—
217C22×C4×C5—21no—
218C22×C4×C5—21no—
219C22×C4×C5C2×D411yescharacteristic
220C22×C4×C5C2×D411yescharacteristic
221C22×C4×C5C2411yescharacteristic
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C2×D20—22no—
230C2×D20—22no—
231C2×D20—21no—
232C2×D20C2412yes—
233C2×C4×D5—24no—
234C2×C4×D5—44no—
235C2×Dic10—24no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—22no—
239C2×Dic10—22no—
240C2×Dic10—21no—
241C2×Dic10—21no—
242C2×Dic10C2×D414yes—
243C2×Dic10C2412yes—
244C2×Dic10C2412yes—
245C5×Q16—44no—
246C5×Q16—44no—
247C2×C5×C8—22no—
248C2×C5×C8—22no—
249C2×C5×C8C2412yes—
250C2×C5×C8C2412yes—
251C5×C4⋊C4—24no—
252C5×C4⋊C4—24no—
253C5×C4⋊C4—24no—
254C5×C4⋊C4—21no—
255C5×C4⋊C4C2412yes—
256C42×C5—24no—
257C42×C5C2×D412yes—
258C42×C5C2412yes—
259#689—28no—
260#689—28no—
261#689—44no—
262#688—28no—
263#688—44no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685—24no—
269C4⋊Dic5—21no—
270C4⋊Dic5—24no—
271C4⋊Dic5—24no—
272C4⋊Dic5C2×D414yes—
273C4⋊Dic5C2412yes—
274#683—24no—
275#683—24no—
276#683—24no—
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×Dic5—24no—
288C4×Dic5C2×D412yes—
289C4×Dic5C2×D412yes—
290C4×Dic5C2412yes—
291C4×Dic5C2412yes—
292C2×#168—22no—
293C2×#168#4114yes—
294C2×#168C2412yes—
295C2×#168C2412yes—
296Dic20—44no—
297#677—44no—
298C22×Q16—51no—
299C22×Q16—51no—
300C22×Q16—51no—
301C22×Q16—51no—
302C22×Q16C2×D511yescharacteristic
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⋊Q8C2×D511yescharacteristic
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—51no—
328C2×C4×Q8—101no—
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#462C2×D518yescomplemented
340#461—58no—
341#446—58no—
342#441—58no—
343#441—58no—
344C4×SD16—58no—
345C2×#106—51no—
346C2×C4⋊C8—51no—
347C2×C4⋊C8—51no—
348C2×C4⋊C8C2×D511yescharacteristic
349C2×#103—51no—
350C2×#103—51no—
351C2×#103—51no—
352C2×#103C2×D511yescharacteristic
353C2×#103C2×D511yescharacteristic
354C2×#102—51no—
355C2×#97—51no—
356C2×#97—51no—
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—22no—
368C5×Q8—22no—
369C5×Q8—42no—
370C5×Q8—42no—
371C5×Q8—42no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—22no—
378C2×C4×C5—42no—
379C2×C4×C5—42no—
380C2×C4×C5—42no—
381C2×C4×C5—42no—
382C2×C4×C5C22×D412yes—
383C2×C4×C5C22×D412yes—
384C2×C4×C5C22×D411yescharacteristic
385C2×C4×C5C2×#4112yes—
386C2×C4×C5H(5,𝔽2)12yes—
387C2×C4×C5C2511yescharacteristic
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—42no—
395C2×Dic5—42no—
396C2×Dic5—42no—
397C2×Dic5#13714yes—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C2×Dic5C22×D412yes—
402D20—22no—
403D20—22no—
404D20—42no—
405C4×D5—48no—
406Dic10—28no—
407Dic10—22no—
408Dic10—22no—
409Dic10—22no—
410Dic10—22no—
411Dic10—42no—
412Dic10—42no—
413C5×C8—22no—
414C5×C8—22no—
415#168—22no—
416#168C2×#4114yes—
417C22×Q8—51no—
418C22×Q8—51no—
419C22×Q8—51no—
420C22×Q8C22×D511yescharacteristic
421C22×Q8C22×D511yescharacteristic
422C22×Q8C22×D511yescharacteristic
423C22×D4—51no—
424C23×C4—101no—
425C2×Q16—42no—
426C2×Q16—42no—
427C2×Q16—54no—
428C2×Q16—54no—
429C2×Q16—54no—
430C2×Q16—54no—
431C2×Q16—104no—
432C2×Q16—104no—
433C2×Q16—202no—
434C2×Q16—202no—
435C2×Q16C22×D514yes—
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—22no—
448C4⋊Q8—54no—
449C4⋊Q8—54no—
450C4⋊Q8—54no—
451C4⋊Q8—102no—
452C4⋊Q8—102no—
453C4⋊Q8—102no—
454C4⋊Q8C22×D514yes—
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—54no—
467C4×Q8—54no—
468C4×Q8—54no—
469C4×Q8—54no—
470C4×Q8—54no—
471C4×Q8—54no—
472C4×Q8—102no—
473C4×Q8—102no—
474C4×Q8—102no—
475C4×Q8—108no—
476C4×Q8—102no—
477C4×Q8C22×D514yes—
478C4×D4—54no—
479C4×D4—102no—
480#117—108no—
481C2×C4⋊C4—21no—
482C2×C4⋊C4—21no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—51no—
485C2×C4⋊C4—51no—
486C2×C4⋊C4—51no—
487C2×C4⋊C4—51no—
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⋊C4—101no—
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—51no—
506C2×C42—51no—
507C2×C42—101no—
508C2×C42—101no—
509C2×C42—101no—
510C2×C42—101no—
511C2×C42C22×D511yescharacteristic
512#106—54no—
513C4⋊C8—54no—
514C4⋊C8—54no—
515C4⋊C8C22×D514yes—
516#103—54no—
517#103—54no—
518#103—54no—
519#103C22×D514yes—
520#103C22×D514yes—
521#102—54no—
522#97—54no—
523#97—54no—
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—21no—
553C2×Q8—22no—
554C2×Q8—22no—
555C2×Q8—22no—
556C2×Q8—22no—
557C2×Q8—22no—
558C2×Q8—22no—
559C2×Q8—54no—
560C2×Q8—52no—
561C2×Q8—52no—
562C2×Q8—104no—
563C2×Q8—101no—
564C2×Q8—101no—
565C2×Q8—102no—
566C2×Q8—102no—
567C2×Q8—102no—
568C2×Q8—102no—
569C2×Q8C23×D512yes—
570C2×Q8C23×D512yes—
571C2×Q8C23×D512yes—
572C2×D4—52no—
573C2×D4—101no—
574C2×D4—102no—
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—44no—
593Q16—44no—
594Q16—108no—
595Q16—108no—
596Q16—204no—
597Q16—204no—
598SD16—108no—
599SD16—204no—
600SD16—204no—
601C2×C8—22no—
602C2×C8—22no—
603C2×C8—54no—
604C2×C8—52no—
605C2×C8—52no—
606C2×C8—102no—
607C2×C8C23×D512yes—
608C2×C8C23×D512yes—
609C4⋊C4—24no—
610C4⋊C4—24no—
611C4⋊C4—24no—
612C4⋊C4—21no—
613C4⋊C4—54no—
614C4⋊C4—54no—
615C4⋊C4—54no—
616C4⋊C4—52no—
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—101no—
627C4⋊C4—104no—
628C4⋊C4C23×D512yes—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C22⋊C4—104no—
632C22⋊C4—104no—
633C22⋊C4—104no—
634C42—24no—
635C42—52no—
636C42—52no—
637C42—52no—
638C42—52no—
639C42—104no—
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—22no—
660Q8—22no—
661Q8—42no—
662Q8—42no—
663Q8—42no—
664Q8—108no—
665Q8—102no—
666Q8—102no—
667Q8—102no—
668Q8—102no—
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×D4×D512yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D511yescharacteristic
702C2×C4#414412yes—
703C2×C4D5×#4112yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—54no—
708C8—102no—
709C5C2×#339811yescharacteristic, complemented, Sylow
710C22—202no—
711C22—202no—
712C22—202no—
713C22—404no—
714C22#6593312yes—
715C22#6610012yes—
716C22D5×#13712yes—
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#6593312yes—
732C4C2×#414411yescharacteristic
733C4C2×D5×#4111yescharacteristic
734C2—402no—
735C2#1061220014yesdirect product factor
736C2C2×#6593311yescharacteristic
737C2C2×#6610011yescharacteristic
738C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#462C2
socleC23×C5C22×D4
prime radicalC22×D20C23
hypercenterC2×#462D5
hypocenterC5C2×#3398
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#462

Complements

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

NH ≅ G/Ntype
1. C2×#66055C2semidirect
3. C2×C5×#462C2semidirect
5. C2×#65470C2semidirect
7. C2×#65471C2semidirect
9. C2×#65319C2semidirect
10. #10612200C2direct (N × H)
12. C2×#65117C2semidirect
13. C2×#65082C2semidirect
15. C2×#65078C2semidirect
35. #66055C22semidirect
51. C5×#462C22semidirect
58. #65471C22semidirect
59. #65470C22semidirect
67. #65319C22semidirect
72. #65117C22semidirect
74. #65082C22semidirect
75. #65078C22semidirect
196. C2×#462D5semidirect
339. #462C2×D5semidirect
645. C2×C5#3398semidirect
709. C5C2×#3398semidirect
735. C2#10612200direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660552
C2×#659022
C2×C5×#4622
C2×#654792
C2×#654702
C2×#654742
C2×#654712
C2×#653752
C2×#653192
#106122002
C2×#651342
C2×#651172
C2×#650822
C2×#651072
C2×#650782
C2×#650772
C2×#33985