Finite Group Databasebeta

← C2×#10612831 #12978978

Subgroups — C2×#10612831 #12978978

Order 1280.

2070 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×#66061C211yesmaximal, characteristic, complemented
2C2×#65902C211yesmaximal, characteristic, complemented
3C2×C5×#477C211yesmaximal, characteristic, complemented
4C2×#65378C211yesmaximal, characteristic, complemented
5C2×#65315C211yesmaximal, characteristic, complemented
6#10612831C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65179C211yesmaximal, characteristic, complemented
9C2×#65178C211yesmaximal, characteristic, complemented
10C2×#65161C211yesmaximal, characteristic
11C2×#65133C211yesmaximal, characteristic
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65108C211yesmaximal, characteristic
14C2×#65107C211yesmaximal, characteristic, complemented
15C2×#65084C211yesmaximal, characteristic, complemented
16C2×#65081C211yesmaximal, characteristic, complemented
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×#4093C2211yescharacteristic
21C2×#4092—21no—
22C2×#4090C2211yescharacteristic
23C22×#688C2211yescharacteristic
24C22×D40C2211yescharacteristic
25C22×#677C2211yescharacteristic
26#66061—24no—
27#66061C2218yescomplemented
28#65902—24no—
29#65902C2218yescomplemented
30C2×#4044—21no—
31C2×#4042—21no—
32C2×#4042—21no—
33C2×#4042—21no—
34C2×#4039C2211yescharacteristic
35C2×#4039C2211yescharacteristic
36C2×#4039C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×#4034C2211yescharacteristic
39C2×#4033C2211yescharacteristic
40C2×#4022—21no—
41C2×#4021C2211yescharacteristic
42C2×C4×D20C2211yescharacteristic
43C2×#4018—21no—
44C2×C4×Dic10C2211yescharacteristic
45C5×#477C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3948C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65378C2218yescomplemented
59#65315C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65179C2218yescomplemented
68#65178C2218yescomplemented
69#65164C2218yescomplemented
70#65161C2218yes—
71#65133C2218yes—
72#65117C2218yescomplemented
73#65108C2218yes—
74#65107C2218yescomplemented
75#65084C2218yescomplemented
76#65081C2218yescomplemented
77C2×#3367—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8C2311yescharacteristic
80C2×Q8×D5—28no—
81C2×Q8×D5—48no—
82C22×D20C2311yescharacteristic
83C22×D20C2311yescharacteristic
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×Dic10—21no—
89C22×Dic10—21no—
90C22×Dic10D411yescharacteristic
91C22×Dic10C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×C4⋊Q8—22no—
95C5×C4⋊Q8C2314yes—
96C4×C5×Q8—22no—
97C4×C5×Q8C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C42×C5—21no—
104C2×C42×C5C2311yescharacteristic
105#4093—22no—
106#4093C2314yes—
107#4092—28no—
108#4090—22no—
109#4090C2314yes—
110C2×#688—24no—
111C2×#688C2314yes—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685—21no—
120C2×C4⋊Dic5D411yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683D411yescharacteristic
128C2×#683D411yescharacteristic
129C2×C4×Dic5—21no—
130C2×C4×Dic5C2311yescharacteristic
131C2×C4×Dic5C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C22×#168C2311yescharacteristic
134C2×D40—24no—
135C2×D40C2314yes—
136C2×#677—24no—
137C2×#677C2314yes—
138#4044—28no—
139#4042—28no—
140#4042—28no—
141#4042—28no—
142#4039—22no—
143#4039—22no—
144#4039—22no—
145#4039C2314yes—
146#4039C2314yes—
147#4039C2314yes—
148#4034—22no—
149#4034—22no—
150#4034C2314yes—
151#4034C2314yes—
152#4033—22no—
153#4033C2314yes—
154#4022—28no—
155#4021—22no—
156#4021C2314yes—
157C4×D20—22no—
158C4×D20C2314yes—
159#4018—28no—
160C4×Dic10D414yes—
161C4×Dic10C2314yes—
162C5×#107C2314yes—
163C5×#107C2314yes—
164C5×C4⋊C8C2314yes—
165C5×#103C2314yes—
166C5×#103C2314yes—
167#3967C2314yes—
168#3953C2314yes—
169#3948C2314yes—
170#3947C2314yes—
171#3946C2314yes—
172#3946C2314yes—
173C8×Dic5C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3941C2314yes—
177#3941C2314yes—
178#3941C2314yes—
179#3939C2314yes—
180#3935C2314yes—
181C2×#556—51no—
182C2×D4×Q8—51no—
183#3367—516no—
184C2×#489—51no—
185C2×#489—51no—
186C2×#487—51no—
187C2×#477—51no—
188C2×#477D511yescharacteristic, complemented
189C2×#474—51no—
190C2×#463—51no—
191C2×#463—51no—
192C2×#461—51no—
193C2×#446—51no—
194C2×#440—51no—
195C2×#440—51no—
196C2×C4×D8—51no—
197C23×D5—21no—
198C23×D5—21no—
199C2×C5×Q8—21no—
200C2×C5×Q8—24no—
201C2×C5×Q8—22no—
202C2×C5×Q8—22no—
203C2×C5×Q8—44no—
204C2×C5×Q8C2412yes—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2411yescharacteristic
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218Q8×D5—432no—
219C2×D20—21no—
220C2×D20—22no—
221C2×D20—22no—
222C2×D20—22no—
223C2×D20—21no—
224C2×D20#4114yes—
225C2×D20C2412yes—
226C2×D20C2412yes—
227C2×C4×D5—24no—
228C2×C4×D5—24no—
229C2×C4×D5—24no—
230C2×C4×D5—24no—
231C2×C4×D5—44no—
232C2×C4×D5—44no—
233C2×C4×D5—44no—
234C2×C4×D5—44no—
235C2×Dic10—24no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—24no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10—44no—
243C2×Dic10C2×D414yes—
244C2×Dic10C2412yes—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4—21no—
254C5×C4⋊C4C2412yes—
255C5×C4⋊C4C2412yes—
256C5×C4⋊C4C2412yes—
257C42×C5—24no—
258C42×C5C2×D412yes—
259C42×C5C2412yes—
260#688—28no—
261#685—24no—
262#685—24no—
263#685—24no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685—24no—
269C4⋊Dic5—21no—
270C4⋊Dic5C2×D414yes—
271C4⋊Dic5C2412yes—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683C2×D414yes—
278#683C2×D414yes—
279C4×Dic5—24no—
280C4×Dic5C2×D412yes—
281C4×Dic5C2×D412yes—
282C4×Dic5C2412yes—
283C4×Dic5C2412yes—
284C2×#168—22no—
285C2×#168—22no—
286C2×#168C2412yes—
287C2×#168C2412yes—
288D40—28no—
289#677—28no—
290C23×Q8—101no—
291C22×SD16—51no—
292C22×SD16—51no—
293C22×D8—51no—
294#556—58no—
295#556—104no—
296D4×Q8—58no—
297D4×Q8—104no—
298C2×C4⋊Q8—51no—
299C2×C4⋊Q8—51no—
300C2×C4⋊Q8—51no—
301C2×C4⋊Q8C2×D511yescharacteristic
302C2×#126—101no—
303C2×#126—101no—
304C2×#124—51no—
305C2×#124—51no—
306C2×C22⋊Q8—101no—
307C2×C22⋊Q8—101no—
308C2×C22⋊Q8—101no—
309C2×C22⋊Q8—101no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8C2×D511yescharacteristic
313C2×C4×D4—51no—
314C2×C4×D4—51no—
315C2×C4×D4—51no—
316C2×C4×D4—51no—
317C2×#117—101no—
318#489—58no—
319#489—58no—
320#487—58no—
321#477—58no—
322#477C2×D518yescomplemented
323#474—58no—
324#463—58no—
325#463—58no—
326#461—58no—
327#446—58no—
328#440—58no—
329#440—58no—
330C4×D8—58no—
331C2×#107—51no—
332C2×#107C2×D511yescharacteristic
333C2×#107C2×D511yescharacteristic
334C2×C4⋊C8—51no—
335C2×C4⋊C8—51no—
336C2×C4⋊C8C2×D511yescharacteristic
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103C2×D511yescharacteristic
342C2×#103C2×D511yescharacteristic
343C2×#102—51no—
344C2×#102—51no—
345C2×#102—51no—
346C2×#102—51no—
347C2×#97—51no—
348C2×#97—51no—
349C2×C4×C8—51no—
350C23×C5C22×D411yescharacteristic
351C22×D5—24no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—42no—
355C22×D5—42no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5—42no—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—48no—
362C5×Q8—42no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D412yes—
375C2×C4×C5C22×D411yescharacteristic
376C2×C4×C5C2×#4112yes—
377C2×C4×C52−1+412yes—
378C2×C4×C5C2511yescharacteristic
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5AGL(1,ℤ/8)14yes—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391D20—24no—
392D20—22no—
393D20—22no—
394D20—22no—
395D20—42no—
396D20C2×#4114yes—
397C4×D5—48no—
398C4×D5—48no—
399C4×D5—48no—
400C4×D5—48no—
401Dic10—28no—
402Dic10—22no—
403Dic10—22no—
404Dic10—48no—
405Dic10—42no—
406Dic10—48no—
407C5×C8—22no—
408C5×C8—22no—
409#168—22no—
410#168—22no—
411C22×Q8—21no—
412C22×Q8—51no—
413C22×Q8—51no—
414C22×Q8—101no—
415C22×Q8—101no—
416C22×Q8—108no—
417C22×Q8—208no—
418C22×Q8C22×D511yescharacteristic
419C22×D4—51no—
420C22×D4—51no—
421C23×C4—101no—
422C23×C4—101no—
423C23×C4—101no—
424C23×C4—101no—
425C2×SD16—54no—
426C2×SD16—54no—
427C2×SD16—104no—
428C2×SD16—104no—
429C2×D8—54no—
430C2×D8—104no—
431C22×C8—51no—
432C22×C8—51no—
433C22×C8C22×D511yescharacteristic
434C22×C8C22×D511yescharacteristic
435C4⋊Q8—22no—
436C4⋊Q8—54no—
437C4⋊Q8—54no—
438C4⋊Q8—54no—
439C4⋊Q8—102no—
440C4⋊Q8—102no—
441C4⋊Q8—102no—
442C4⋊Q8C22×D514yes—
443#126—108no—
444#126—108no—
445#124—54no—
446#124—54no—
447#124—102no—
448#124—102no—
449C22⋊Q8—108no—
450C22⋊Q8—108no—
451C22⋊Q8—108no—
452C22⋊Q8—108no—
453C4×Q8—22no—
454C4×Q8—54no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8—102no—
458C4×Q8C22×D514yes—
459C4×D4—54no—
460C4×D4—54no—
461C4×D4—54no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—102no—
465C4×D4—102no—
466C4×D4—102no—
467#117—108no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4C22×D511yescharacteristic
480C2×C4⋊C4C22×D511yescharacteristic
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C22⋊C4—101no—
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C42—21no—
491C2×C42—51no—
492C2×C42—51no—
493C2×C42—101no—
494C2×C42C22×D511yescharacteristic
495#107—54no—
496#107C22×D514yes—
497#107C22×D514yes—
498C4⋊C8—54no—
499C4⋊C8—54no—
500C4⋊C8C22×D514yes—
501#103—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#103C22×D514yes—
506#103C22×D514yes—
507#102—54no—
508#102—54no—
509#102—54no—
510#102—54no—
511#97—54no—
512#97—54no—
513C4×C8—54no—
514C22×C5#54812yes—
515C22×C5C2×AGL(1,ℤ/8)12yes—
516C22×C5#57812yes—
517C22×C5C23×D411yescharacteristic
518C2×D5—24no—
519C2×D5—48no—
520C2×D5—42no—
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—42no—
524C2×D5—42no—
525C2×D5—84no—
526C4×C5—22no—
527C4×C5—22no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5—42no—
532C4×C5#54812yes—
533C4×C5C22×#4111yescharacteristic
534C4×C5C2×2−1+411yescharacteristic
535Dic5—22no—
536Dic5—22no—
537Dic5—22no—
538Dic5—42no—
539Dic5—42no—
540Dic5C2×AGL(1,ℤ/8)14yes—
541C24—101no—
542C24—101no—
543C2×Q8—21no—
544C2×Q8—24no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—44no—
548C2×Q8—54no—
549C2×Q8—52no—
550C2×Q8—104no—
551C2×Q8—104no—
552C2×Q8—104no—
553C2×Q8—101no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—204no—
557C2×Q8—204no—
558C2×Q8—2032no—
559C2×Q8C23×D512yes—
560C2×D4—54no—
561C2×D4—52no—
562C2×D4—52no—
563C2×D4—101no—
564C2×D4—101no—
565C2×D4—102no—
566C2×D4—102no—
567C2×D4—102no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—104no—
577C22×C4—104no—
578C22×C4—104no—
579C22×C4—101no—
580C22×C4—101no—
581C22×C4—104no—
582C22×C4—204no—
583C22×C4—204no—
584C22×C4—204no—
585C22×C4—204no—
586C22×C4D4×D511yescharacteristic
587C22×C4D4×D511yescharacteristic
588C22×C4C23×D511yescharacteristic
589SD16—108no—
590SD16—108no—
591D8—108no—
592C2×C8—22no—
593C2×C8—22no—
594C2×C8—52no—
595C2×C8—52no—
596C2×C8—102no—
597C2×C8—102no—
598C2×C8C23×D512yes—
599C2×C8C23×D512yes—
600C4⋊C4—24no—
601C4⋊C4—24no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—54no—
606C4⋊C4—54no—
607C4⋊C4—54no—
608C4⋊C4—52no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4—101no—
615C4⋊C4C23×D512yes—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C42—24no—
627C42—52no—
628C42—52no—
629C42—52no—
630C42—52no—
631C42—104no—
632C42D4×D512yes—
633C42C23×D512yes—
634C2×C5#336714yescomplemented
635C2×C5C2×#54811yescharacteristic
636C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
637C2×C5C2×#57811yescharacteristic
638D5—44no—
639D5—82no—
640C23—104no—
641C23—102no—
642C23—102no—
643C23—202no—
644C23—202no—
645C23—202no—
646C23—202no—
647C23—202no—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—48no—
652Q8—42no—
653Q8—108no—
654Q8—102no—
655Q8—102no—
656Q8—208no—
657Q8—208no—
658Q8—202no—
659D4—54no—
660D4—104no—
661D4—102no—
662D4—102no—
663D4—102no—
664D4—202no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—54no—
676C2×C4—52no—
677C2×C4—52no—
678C2×C4—52no—
679C2×C4—52no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—208no—
686C2×C4—208no—
687C2×C4—208no—
688C2×C4—208no—
689C2×C4—202no—
690C2×C4—202no—
691C2×C4C2×D4×D512yes—
692C2×C4C2×D4×D512yes—
693C2×C4C2×D4×D511yescharacteristic
694C2×C4#414712yes—
695C2×C4D5×#4112yes—
696C2×C4C24×D511yescharacteristic
697C8—22no—
698C8—22no—
699C8—102no—
700C8—102no—
701C5C2×#336711yescharacteristic, complemented, Sylow
702C22—104no—
703C22—208no—
704C22—202no—
705C22—202no—
706C22—202no—
707C22—202no—
708C22—202no—
709C22—404no—
710C22#6596712yes—
711C22#6610012yes—
712C22D5×AGL(1,ℤ/8)12yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—22no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—54no—
721C4—102no—
722C4—102no—
723C4—102no—
724C4—202no—
725C4—202no—
726C4#6596712yes—
727C4C2×#414711yescharacteristic
728C4C2×D5×#4111yescharacteristic
729C2—204no—
730C2—402no—
731C2#1061283114yesdirect product factor
732C2C2×#6596711yescharacteristic
733C2C2×#6610011yescharacteristic
734C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#477C2
socleC23×C5C22×D4
prime radicalC22×D40C22
hypercenterC2×#477D5
hypocenterC5C2×#3367
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
1. C2×#66061C2semidirect
2. C2×#65902C2semidirect
3. C2×C5×#477C2semidirect
4. C2×#65378C2semidirect
5. C2×#65315C2semidirect
6. #10612831C2direct (N × H)
7. C2×#65164C2semidirect
8. C2×#65179C2semidirect
9. C2×#65178C2semidirect
12. C2×#65117C2semidirect
14. C2×#65107C2semidirect
15. C2×#65084C2semidirect
16. C2×#65081C2semidirect
27. #66061C22semidirect
29. #65902C22semidirect
45. C5×#477C22semidirect
58. #65378C22semidirect
59. #65315C22semidirect
67. #65179C22semidirect
68. #65178C22semidirect
69. #65164C22semidirect
72. #65117C22semidirect
74. #65107C22semidirect
75. #65084C22semidirect
76. #65081C22semidirect
188. C2×#477D5semidirect
322. #477C2×D5semidirect
634. C2×C5#3367semidirect
701. C5C2×#3367semidirect
731. C2#10612831direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660612
C2×#659022
C2×C5×#4772
C2×#653782
C2×#653152
#106128312
C2×#651642
C2×#651792
C2×#651782
C2×#651612
C2×#651332
C2×#651172
C2×#651082
C2×#651072
C2×#650842
C2×#650812
C2×#33675