Finite Group Databasebeta

← C2×#10612944 #12972155

Subgroups — C2×#10612944 #12972155

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66025C211yesmaximal, characteristic
2C2×#65912C211yesmaximal, characteristic, complemented
3C2×C5×#479C211yesmaximal, characteristic, complemented
4C2×#65352C211yesmaximal, characteristic, complemented
5C2×#65317C211yesmaximal, characteristic, complemented
6#10612944C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65175C211yesmaximal, characteristic
9C2×#65159C211yesmaximal, characteristic, complemented
10C2×#65157C211yesmaximal, characteristic, complemented
11C2×#65134C211yesmaximal, characteristic, complemented
12C2×#65126C211yesmaximal, characteristic, complemented
13C2×#65082C211yesmaximal, characteristic, complemented
14C2×#65107C211yesmaximal, characteristic, complemented
15C2×#65105C211yesmaximal, characteristic, complemented
16C2×#65101C211yesmaximal, characteristic
17C2×C5×#125C2211yescharacteristic
18C2×C4×C5×Q8C2211yescharacteristic
19C2×#4092C2211yescharacteristic
20C2×#4090C2211yescharacteristic
21C22×#689C2211yescharacteristic
22C22×#688C2211yescharacteristic
23C22×Dic20C2211yescharacteristic
24C22×#677C2211yescharacteristic
25C22×#676C2211yescharacteristic
26C22×#676C2211yescharacteristic
27#66025—24no—
28#66025C2218yes—
29#65912—24no—
30#65912C2218yescomplemented
31C2×#4044—21no—
32C2×#4043C2211yescharacteristic
33C2×#4043C2211yescharacteristic
34C2×#4042—21no—
35C2×#4041C2211yescharacteristic
36C2×#4040—21no—
37C2×#4039—21no—
38C2×#4039C2211yescharacteristic
39C2×#4038—21no—
40C2×#4035—21no—
41C2×#4034C2211yescharacteristic
42C2×#4033C2211yescharacteristic
43C2×#4021C2211yescharacteristic
44C2×#4018—21no—
45C2×C42×D5C2211yescharacteristic
46C2×C4×Dic10—21no—
47C2×C4×Dic10C2211yescharacteristic
48C5×#479C2218yescomplemented
49C2×C5×#107C2211yescharacteristic
50C2×C5×#106C2211yescharacteristic
51C2×C5×C4⋊C8C2211yescharacteristic
52C2×C5×#103C2211yescharacteristic
53C2×C5×#103C2211yescharacteristic
54C2×#3953C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65352C2218yescomplemented
59#65317C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65175C2218yes—
68#65164C2218yescomplemented
69#65159C2218yescomplemented
70#65157C2218yescomplemented
71#65134C2218yescomplemented
72#65126C2218yescomplemented
73#65107C2218yescomplemented
74#65105C2218yescomplemented
75#65101C2218yes—
76#65082C2218yescomplemented
77C2×#3252—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×D20—21no—
80C22×D20C2311yescharacteristic
81C22×C4×D5—21no—
82C22×C4×D5D411yescharacteristic
83C22×C4×D5D411yescharacteristic
84C22×C4×D5C2311yescharacteristic
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C5×#125—22no—
91C5×#125C2314yes—
92C4×C5×Q8—22no—
93C4×C5×Q8C2314yes—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C42×C5—21no—
101C2×C42×C5C2311yescharacteristic
102#4092—22no—
103#4092C2314yes—
104#4090—22no—
105#4090C2314yes—
106C2×#689—42no—
107C2×#689C2314yes—
108C2×#688—42no—
109C2×#688C2314yes—
110C2×#685—21no—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5—21no—
119C2×C4⋊Dic5C2311yescharacteristic
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×C4×Dic5—21no—
127C2×C4×Dic5—21no—
128C2×C4×Dic5D411yescharacteristic
129C2×C4×Dic5D411yescharacteristic
130C2×C4×Dic5C2311yescharacteristic
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C2×Dic20—42no—
134C2×Dic20C2314yes—
135C2×#677—42no—
136C2×#677C2314yes—
137C2×#676—42no—
138C2×#676—42no—
139C2×#676C2314yes—
140C2×#676C2314yes—
141#4044—28no—
142#4043—22no—
143#4043—22no—
144#4043C2314yes—
145#4043C2314yes—
146#4042—28no—
147#4041—22no—
148#4041C2314yes—
149#4040—28no—
150#4039—28no—
151#4039—22no—
152#4039C2314yes—
153#4038—28no—
154#4035—28no—
155#4034—22no—
156#4034C2314yes—
157#4033—22no—
158#4033C2314yes—
159#4021—22no—
160#4021C2314yes—
161#4018—28no—
162C42×D5D414yes—
163C42×D5C2314yes—
164C4×Dic10—22no—
165C4×Dic10—28no—
166C4×Dic10C2314yes—
167C5×#107C2314yes—
168C5×#106C2314yes—
169C5×C4⋊C8C2314yes—
170C5×#103C2314yes—
171C5×#103C2314yes—
172#3953C2314yes—
173#3948C2314yes—
174#3946C2314yes—
175#3946C2314yes—
176#3942C2314yes—
177#3942C2314yes—
178#3942C2314yes—
179#3941C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182C4⋊#168C2314yes—
183C2×#533—51no—
184C2×#529—51no—
185#3252—516no—
186C2×#479—51no—
187C2×#479D511yescharacteristic, complemented
188C2×#477—51no—
189C2×#476—51no—
190C2×#470—51no—
191C2×#470—51no—
192C2×#468—51no—
193C2×#468—51no—
194C2×#464—51no—
195C2×#464—51no—
196C2×#462—51no—
197C2×#461—51no—
198C2×#423—51no—
199C23×D5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
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×Dic5—21no—
215C22×Dic5C2×D411yescharacteristic
216C22×Dic5C2×D411yescharacteristic
217C22×Dic5C2×D411yescharacteristic
218C2×D20—22no—
219C2×D20—22no—
220C2×D20—24no—
221C2×D20—21no—
222C2×D20—44no—
223C2×D20C2412yes—
224C2×C4×D5—22no—
225C2×C4×D5—22no—
226C2×C4×D5—24no—
227C2×C4×D5—24no—
228C2×C4×D5—42no—
229C2×C4×D5—44no—
230C2×C4×D5C2×D414yes—
231C2×C4×D5C2×D412yes—
232C2×C4×D5C2×D414yes—
233C2×C4×D5C2412yes—
234C2×Dic10—22no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—21no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10C2412yes—
243C2×Dic10C2412yes—
244C2×C5×C8—22no—
245C2×C5×C8—22no—
246C2×C5×C8C2412yes—
247C2×C5×C8C2412yes—
248C5×C4⋊C4—24no—
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#689—44no—
261#688—44no—
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⋊Dic5—24no—
271C4⋊Dic5—24no—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D414yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2×D414yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168C2412yes—
288C2×#168C2412yes—
289Dic20—44no—
290#677—44no—
291#676—44no—
292#676—44no—
293C22×Q16—51no—
294C22×Q16—51no—
295C22×SD16—51no—
296C22×SD16—51no—
297C22×M16—51no—
298C22×M16—51no—
299#533—58no—
300#533—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8—51no—
303#529—58no—
304#529—104no—
305C2×#126—101no—
306C2×#125—101no—
307C2×#125C2×D511yescharacteristic
308C2×#124—51no—
309C2×#123—101no—
310C2×C22⋊Q8—51no—
311C2×C22⋊Q8—51no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—101no—
314C2×#121—51no—
315C2×C4×Q8—51no—
316C2×C4×Q8—51no—
317C2×C4×Q8—101no—
318C2×C4×Q8C2×D511yescharacteristic
319C2×C4×D4—51no—
320C2×C4×D4—101no—
321C2×#117—101no—
322C2×#117—101no—
323C22×C42—51no—
324#479—58no—
325#479C2×D518yescomplemented
326#477—58no—
327#476—58no—
328#470—58no—
329#470—58no—
330#468—58no—
331#468—58no—
332#464—58no—
333#464—58no—
334#462—58no—
335#461—58no—
336C2×#107—51no—
337C2×#107C2×D511yescharacteristic
338C2×#106—51no—
339C2×#106C2×D511yescharacteristic
340#423—58no—
341C2×C4⋊C8—51no—
342C2×C4⋊C8—51no—
343C2×C4⋊C8—51no—
344C2×C4⋊C8C2×D511yescharacteristic
345C2×#103—51no—
346C2×#103—51no—
347C2×#103—51no—
348C2×#103—51no—
349C2×#103C2×D511yescharacteristic
350C2×#103C2×D511yescharacteristic
351C2×#102—51no—
352C2×#102—51no—
353C23×C5C22×D411yescharacteristic
354C22×D5—22no—
355C22×D5—22no—
356C22×D5—22no—
357C22×D5—22no—
358C22×D5—42no—
359C22×D5—42no—
360C22×D5—42no—
361C22×D5C22×D412yes—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—42no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5—42no—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D411yescharacteristic
378C2×C4×C5H(5,𝔽2)12yes—
379C2×C4×C52−1+412yes—
380C2×C4×C5C2511yescharacteristic
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5#13714yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393D20—22no—
394D20—22no—
395D20—48no—
396D20—42no—
397C4×D5—24no—
398C4×D5—22no—
399C4×D5—22no—
400C4×D5—28no—
401C4×D5—44no—
402C4×D5—48no—
403Dic10—22no—
404Dic10—22no—
405Dic10—22no—
406Dic10—22no—
407Dic10—48no—
408Dic10—42no—
409Dic10—42no—
410C5×C8—22no—
411C5×C8—22no—
412#168—22no—
413#168—22no—
414C22×Q8—51no—
415C22×Q8—51no—
416C22×Q8—101no—
417C22×Q8C22×D511yescharacteristic
418C22×D4—51no—
419C22×D4—101no—
420C23×C4—51no—
421C23×C4—51no—
422C23×C4—51no—
423C23×C4—101no—
424C2×Q16—54no—
425C2×Q16—54no—
426C2×Q16—202no—
427C2×Q16—202no—
428C2×SD16—54no—
429C2×SD16—54no—
430C2×SD16—202no—
431C2×SD16—202no—
432C2×M16—54no—
433C2×M16—54no—
434C2×M16—202no—
435C2×M16—202no—
436C22×C8—51no—
437C22×C8—51no—
438C22×C8C22×D511yescharacteristic
439C22×C8C22×D511yescharacteristic
440C4⋊Q8—54no—
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443C4⋊Q8—102no—
444#126—108no—
445#125—22no—
446#125—108no—
447#125C22×D514yes—
448#124—54no—
449#124—102no—
450#123—108no—
451C22⋊Q8—54no—
452C22⋊Q8—54no—
453C22⋊Q8—54no—
454C22⋊Q8—102no—
455C22⋊Q8—102no—
456C22⋊Q8—108no—
457C22⋊Q8—102no—
458#121—54no—
459#121—102no—
460C4×Q8—22no—
461C4×Q8—54no—
462C4×Q8—54no—
463C4×Q8—108no—
464C4×Q8—102no—
465C4×Q8—102no—
466C4×Q8C22×D514yes—
467C4×D4—54no—
468C4×D4—102no—
469C4×D4—108no—
470#117—108no—
471#117—108no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—51no—
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⋊C4—101no—
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C4⋊C4C22×D511yescharacteristic
486C2×C4⋊C4C22×D511yescharacteristic
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—21no—
495C2×C42—51no—
496C2×C42—51no—
497C2×C42—51no—
498C2×C42—54no—
499C2×C42—54no—
500C2×C42—101no—
501C2×C42—101no—
502C2×C42C22×D511yescharacteristic
503#107—54no—
504#107C22×D514yes—
505#106—54no—
506#106C22×D514yes—
507C4⋊C8—54no—
508C4⋊C8—54no—
509C4⋊C8—54no—
510C4⋊C8C22×D514yes—
511#103—54no—
512#103—54no—
513#103—54no—
514#103—54no—
515#103C22×D514yes—
516#103C22×D514yes—
517#102—54no—
518#102—54no—
519C22×C5#53712yes—
520C22×C5C2×#13712yes—
521C22×C5#57512yes—
522C22×C5C23×D411yescharacteristic
523C2×D5—22no—
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—44no—
527C2×D5—42no—
528C2×D5—42no—
529C2×D5—42no—
530C2×D5—84no—
531C4×C5—22no—
532C4×C5—22no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5—42no—
537C4×C5#53712yes—
538C4×C5C2×H(5,𝔽2)11yescharacteristic
539C4×C5C2×2−1+411yescharacteristic
540Dic5—22no—
541Dic5—22no—
542Dic5—42no—
543Dic5—42no—
544Dic5—42no—
545Dic5C2×#13714yes—
546C24—51no—
547C24—101no—
548C2×Q8—21no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—52no—
552C2×Q8—52no—
553C2×Q8—104no—
554C2×Q8—101no—
555C2×Q8—101no—
556C2×Q8—102no—
557C2×Q8—102no—
558C2×Q8—102no—
559C2×Q8—102no—
560C2×Q8—204no—
561C2×Q8C23×D512yes—
562C2×D4—52no—
563C2×D4—104no—
564C2×D4—101no—
565C2×D4—102no—
566C2×D4—102no—
567C2×D4—204no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—51no—
575C22×C4—54no—
576C22×C4—52no—
577C22×C4—52no—
578C22×C4—54no—
579C22×C4—104no—
580C22×C4—104no—
581C22×C4—102no—
582C22×C4—102no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—101no—
586C22×C4—202no—
587C22×C4—204no—
588C22×C4D4×D511yescharacteristic
589C22×C4D4×D511yescharacteristic
590C22×C4C23×D511yescharacteristic
591Q16—204no—
592Q16—204no—
593SD16—204no—
594SD16—204no—
595M16—204no—
596M16—204no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—52no—
600C2×C8—52no—
601C2×C8—102no—
602C2×C8—102no—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—24no—
606C4⋊C4—24no—
607C4⋊C4—24no—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—52no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—104no—
618C4⋊C4—104no—
619C4⋊C4—101no—
620C4⋊C4—104no—
621C4⋊C4C23×D512yes—
622C4⋊C4C23×D512yes—
623C4⋊C4C23×D512yes—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C22⋊C4—104no—
628C22⋊C4—104no—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C42—24no—
632C42—54no—
633C42—52no—
634C42—54no—
635C42—52no—
636C42—104no—
637C42—104no—
638C42D4×D512yes—
639C42C23×D512yes—
640C2×C5#325214yescomplemented
641C2×C5C2×#53711yescharacteristic
642C2×C5C22×#13711yescharacteristic
643C2×C5C2×#57511yescharacteristic
644D5—42no—
645D5—82no—
646C23—52no—
647C23—102no—
648C23—102no—
649C23—102no—
650C23—102no—
651C23—202no—
652C23—202no—
653C23—202no—
654C23C2×D4×D511yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—42no—
658Q8—102no—
659Q8—102no—
660Q8—102no—
661Q8—102no—
662Q8—208no—
663Q8—202no—
664Q8—202no—
665D4—102no—
666D4—102no—
667D4—208no—
668D4—202no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—54no—
680C2×C4—52no—
681C2×C4—52no—
682C2×C4—52no—
683C2×C4—108no—
684C2×C4—102no—
685C2×C4—102no—
686C2×C4—104no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—204no—
693C2×C4—208no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4C2×D4×D512yes—
698C2×C4C2×D4×D512yes—
699C2×C4C2×D4×D511yescharacteristic
700C2×C4#414712yes—
701C2×C4#414912yes—
702C2×C4C24×D511yescharacteristic
703C8—22no—
704C8—22no—
705C8—102no—
706C8—102no—
707C5C2×#325211yescharacteristic, complemented, Sylow
708C22—102no—
709C22—102no—
710C22—102no—
711C22—204no—
712C22—202no—
713C22—202no—
714C22—202no—
715C22—404no—
716C22#6596312yes—
717C22#6610212yes—
718C22D5×#13712yes—
719C22C22×D4×D511yescharacteristic
720C4—22no—
721C4—22no—
722C4—42no—
723C4—42no—
724C4—42no—
725C4—42no—
726C4—54no—
727C4—102no—
728C4—102no—
729C4—202no—
730C4—202no—
731C4—202no—
732C4#6596312yes—
733C4C2×#414711yescharacteristic
734C4C2×#414911yescharacteristic
735C2—202no—
736C2—402no—
737C2#1061294414yesdirect product factor
738C2C2×#6596311yescharacteristic
739C2C2×#6610211yescharacteristic
740C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#479C2
socleC23×C5C22×D4
prime radicalC2×#4041C22
hypercenterC2×#479D5
hypocenterC5C2×#3252
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
2. C2×#65912C2semidirect
3. C2×C5×#479C2semidirect
4. C2×#65352C2semidirect
5. C2×#65317C2semidirect
6. #10612944C2direct (N × H)
7. C2×#65164C2semidirect
9. C2×#65159C2semidirect
10. C2×#65157C2semidirect
11. C2×#65134C2semidirect
12. C2×#65126C2semidirect
13. C2×#65082C2semidirect
14. C2×#65107C2semidirect
15. C2×#65105C2semidirect
30. #65912C22semidirect
48. C5×#479C22semidirect
58. #65352C22semidirect
59. #65317C22semidirect
68. #65164C22semidirect
69. #65159C22semidirect
70. #65157C22semidirect
71. #65134C22semidirect
72. #65126C22semidirect
73. #65107C22semidirect
74. #65105C22semidirect
76. #65082C22semidirect
187. C2×#479D5semidirect
325. #479C2×D5semidirect
640. C2×C5#3252semidirect
707. C5C2×#3252semidirect
737. C2#10612944direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660252
C2×#659122
C2×C5×#4792
C2×#653522
C2×#653172
#106129442
C2×#651642
C2×#651752
C2×#651592
C2×#651572
C2×#651342
C2×#651262
C2×#650822
C2×#651072
C2×#651052
C2×#651012
C2×#32525