Finite Group Databasebeta

← C2×#10618923 #13007500

Subgroups — C2×#10618923 #13007500

Order 1280.

7130 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#557C211yesmaximal, characteristic, complemented
2#10618923C2132yesmaximal, direct product factor
3C2×#66064C213yesmaximal, complemented
4C2×#66067C213yesmaximal, complemented
5C2×#66029C213yesmaximal, complemented
6C2×#66028C213yesmaximal, complemented
7C2×#66031C213yesmaximal, complemented
8C2×#66025C213yesmaximal, complemented
9C2×Q8×D20C211yesmaximal, characteristic, complemented
10C2×#65910C211yesmaximal, characteristic, complemented
11C2×#65910C211yesmaximal, characteristic, complemented
12C2×#65914C213yesmaximal, complemented
13C2×#65906C211yesmaximal, characteristic, complemented
14C2×C4×Q8×D5C211yesmaximal, characteristic, complemented
15C2×#65918C213yesmaximal, complemented
16C2×#65908C211yesmaximal, characteristic, complemented
17C22×#713C2211yescharacteristic
18C22×Q8×D5C2211yescharacteristic
19C22×Q8×D5C2211yescharacteristic
20C5×#557C22116yescomplemented
21C2×C5×C4⋊Q8C2213yes—
22C2×C5×#125C2213yes—
23C2×C5×#125C2213yes—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×Q8C2213yes—
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2211yescharacteristic
28C2×#4093C2213yes—
29C2×#4092C2213yes—
30C2×#4092C2216yes—
31C2×Q8×Dic5C2211yescharacteristic
32#66067C22148yescomplemented
33#66064C22148yescomplemented
34#66031C22148yescomplemented
35#66029C22148yescomplemented
36#66028C22148yescomplemented
37#66025C22148yescomplemented
38#65918C22148yescomplemented
39#65914C22148yescomplemented
40#65910C22116yescomplemented
41#65910C22116yescomplemented
42Q8×D20C22116yescomplemented
43#65908C22116yescomplemented
44#65906C22116yescomplemented
45C4×Q8×D5C22116yescomplemented
46C2×#4044C2213yes—
47C2×#4044C2216yes—
48C2×#4044C2213yes—
49C2×#4044C2216yes—
50C2×#4043C2213yes—
51C2×#4043C2213yes—
52C2×#4043C2213yes—
53C2×#4043C2213yes—
54C2×#4041C2213yes—
55C2×#4041C2213yes—
56C2×#4041C2213yes—
57C2×#4040C2211yescharacteristic
58C2×#4040C2213yes—
59C2×#4040C2216yes—
60C2×#4039C2216yes—
61C2×#4039C2213yes—
62C2×#4038C2216yes—
63C2×#4038C2213yes—
64C2×D5×C4⋊C4C2213yes—
65C2×D5×C4⋊C4C2213yes—
66C2×#4036C2216yes—
67C2×#4036C2213yes—
68C2×#4033C2213yes—
69C2×#4033C2213yes—
70C2×#4021C2213yes—
71C2×#4021C2213yes—
72C2×C4×D20C2213yes—
73C2×C4×D20C2213yes—
74C2×C4×D20C2213yes—
75C2×C4×D20C2213yes—
76C2×#4018C2213yes—
77C2×#4018C2213yes—
78C2×C42×D5C2213yes—
79C2×#4015C2213yes—
80C2×C4×Dic10C2213yes—
81C2×C4×Dic10C2213yes—
82C2×#3516—51nomaximal, Sylow
83C22×C5×Q8C2313yes—
84C22×C5×Q8C2311yescharacteristic
85C2×#713—28no—
86C2×#713C2318yes—
87C2×Q8×D5—28no—
88C2×Q8×D5—28no—
89C2×Q8×D5C2318yes—
90C2×Q8×D5C2318yes—
91C22×D20C2311yescharacteristic
92C22×D20C2313yes—
93C22×D20C2313yes—
94C22×D20C2313yes—
95C22×C4×D5C2311yescharacteristic
96C22×C4×D5C2313yes—
97C22×C4×D5C2313yes—
98C22×C4×D5C2313yes—
99C22×C4×D5C2313yes—
100C22×C4×D5C2316yes—
101C22×Dic10C2313yes—
102C22×Dic10C2313yes—
103C5×C4⋊Q8C23124yes—
104C5×#125C23124yes—
105C5×#125C23124yes—
106C4×C5×Q8C2318yes—
107C4×C5×Q8C2318yes—
108C4×C5×Q8C2318yes—
109C4×C5×Q8C23124yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C4⋊C4C2313yes—
112C2×C5×C4⋊C4C2316yes—
113C2×C5×C4⋊C4C2313yes—
114C2×C5×C4⋊C4C2313yes—
115C2×C5×C4⋊C4C2313yes—
116C2×C5×C4⋊C4C2311yescharacteristic
117C2×C42×C5C2313yes—
118C2×C42×C5C2313yes—
119C2×C42×C5C2313yes—
120#4093C23124yes—
121#4092C23124yes—
122#4092C23148yes—
123Q8×Dic5C2318yes—
124C2×#685C2311yescharacteristic
125C2×#685C2313yes—
126C2×#685C2313yes—
127C2×#685C2313yes—
128C2×#685C2311yescharacteristic
129C2×#685C2311yescharacteristic
130C2×#685C2313yes—
131C2×#685C2313yes—
132C2×#685C2313yes—
133C2×#685C2313yes—
134C2×#685C2316yes—
135C2×#685C2316yes—
136C2×C4⋊Dic5C2313yes—
137C2×C4⋊Dic5C2313yes—
138C2×C4⋊Dic5C2316yes—
139C2×C4⋊Dic5C2313yes—
140C2×C4⋊Dic5C2313yes—
141C2×#683C2313yes—
142C2×#683C2316yes—
143C2×#683C2311yescharacteristic
144C2×#683C2313yes—
145C2×#683C2313yes—
146C2×C4×Dic5C2313yes—
147C2×C4×Dic5C2316yes—
148C2×C4×Dic5C2313yes—
149C2×C4×Dic5C2313yes—
150#4044C23148yes—
151#4044C23124yes—
152#4044C23124yes—
153#4044C23148yes—
154#4043C23124yes—
155#4043C23124yes—
156#4043C23124yes—
157#4043C23124yes—
158#4041C23124yes—
159#4041C23124yes—
160#4041C23124yes—
161#4040C23148yes—
162#4040C2318yes—
163#4040C23124yes—
164#4039C23148yes—
165#4039C23124yes—
166#4038C23124yes—
167#4038C23148yes—
168D5×C4⋊C4C23124yes—
169D5×C4⋊C4C23124yes—
170#4036C23148yes—
171#4036C23124yes—
172#4033C23124yes—
173#4033C23124yes—
174#4021C23124yes—
175#4021C23124yes—
176C4×D20C23124yes—
177C4×D20C23124yes—
178C4×D20C23124yes—
179C4×D20C23124yes—
180#4018C23124yes—
181#4018C23124yes—
182C42×D5C23124yes—
183#4015C23124yes—
184C4×Dic10C23124yes—
185C4×Dic10C23124yes—
186#3516—532no—
187C2×#557D511yescharacteristic, complemented
188C2×#556—53no—
189C2×#554—53no—
190C2×#553—53no—
191C2×#552—53no—
192C2×D4×Q8—51no—
193C2×#548—51no—
194C2×#548—51no—
195C2×#542—53no—
196C2×#541—53no—
197C2×#529—53no—
198C2×#529—53no—
199C2×#520—51no—
200C2×#519—51no—
201C22×C4×Q8—51no—
202C23×D5C2411yescharacteristic
203C23×D5C2413yes—
204C23×D5C2411yescharacteristic
205C2×C5×Q8—46no—
206C2×C5×Q8#4118yes—
207C2×C5×Q8C24112yes—
208C2×C5×Q8C2414yes—
209C22×C4×C5C2411yescharacteristic
210C22×C4×C5C2411yescharacteristic
211C22×C4×C5C2411yescharacteristic
212C22×C4×C5C2413yes—
213C22×C4×C5C2413yes—
214C22×C4×C5C2413yes—
215C22×C4×C5C2413yes—
216C22×Dic5C2413yes—
217C22×Dic5C2413yes—
218C22×Dic5C2413yes—
219C22×Dic5C2411yescharacteristic
220C22×Dic5C2411yescharacteristic
221#713—232no—
222Q8×D5—232no—
223Q8×D5—232no—
224C2×D20—24no—
225C2×D20—212no—
226C2×D20—212no—
227C2×D20—46no—
228C2×D20C24112yes—
229C2×D20C2414yes—
230C2×D20C24112yes—
231C2×D20C24112yes—
232C2×C4×D5—24no—
233C2×C4×D5—212no—
234C2×C4×D5—212no—
235C2×C4×D5—212no—
236C2×C4×D5—412no—
237C2×C4×D5—46no—
238C2×C4×D5C24112yes—
239C2×C4×D5C24112yes—
240C2×C4×D5C24112yes—
241C2×C4×D5C2414yes—
242C2×C4×D5C24112yes—
243C2×C4×D5C24124yes—
244C2×Dic10—212no—
245C2×Dic10—212no—
246C2×Dic10C24112yes—
247C2×Dic10C24112yes—
248C5×C4⋊C4C2414yes—
249C5×C4⋊C4C24112yes—
250C5×C4⋊C4C24112yes—
251C5×C4⋊C4C24112yes—
252C5×C4⋊C4C24112yes—
253C5×C4⋊C4C24112yes—
254C5×C4⋊C4C24124yes—
255C42×C5C24112yes—
256C42×C5C24112yes—
257C42×C5C24112yes—
258#685C2414yes—
259#685C24112yes—
260#685C24112yes—
261#685C24112yes—
262#685C2414yes—
263#685C2414yes—
264#685C24112yes—
265#685C24112yes—
266#685C24112yes—
267#685C24112yes—
268#685C24124yes—
269#685C24124yes—
270C4⋊Dic5C24112yes—
271C4⋊Dic5C24112yes—
272C4⋊Dic5C24124yes—
273C4⋊Dic5C24112yes—
274C4⋊Dic5C24112yes—
275#683C24112yes—
276#683C24124yes—
277#683C2414yes—
278#683C24112yes—
279#683C24112yes—
280C4×Dic5C24112yes—
281C4×Dic5C24124yes—
282C4×Dic5C24112yes—
283C4×Dic5C24112yes—
284C22×#41—51no—
285C23×Q8—51no—
286C23×Q8—51no—
287#557C2×D5116yescomplemented
288#556—548no—
289#554—548no—
290#553—548no—
291#552—548no—
292D4×Q8—516no—
293#548—516no—
294#548—516no—
295#542—548no—
296#541—548no—
297C2×C4⋊Q8—53no—
298C2×C4⋊Q8C2×D513yes—
299#529—548no—
300#529—548no—
301C2×#126—56no—
302C2×#126—53no—
303C2×#126—53no—
304C2×#126—56no—
305C2×#125—53no—
306C2×#125—56no—
307C2×#125C2×D513yes—
308C2×#125C2×D513yes—
309C2×#124—53no—
310C2×#124—53no—
311C2×#124—53no—
312C2×#123—51no—
313C2×#123—53no—
314C2×#123—56no—
315C2×C22⋊Q8—53no—
316C2×C22⋊Q8—56no—
317C2×C22⋊Q8—53no—
318C2×C22⋊Q8—53no—
319C2×C22⋊Q8—53no—
320C2×C22⋊Q8—53no—
321C2×#121—53no—
322C2×#121—53no—
323C2×#121—53no—
324#520—516no—
325#519—516no—
326C2×C4×Q8—51no—
327C2×C4×Q8—516no—
328C2×C4×Q8—53no—
329C2×C4×Q8—53no—
330C2×C4×Q8—53no—
331C2×C4×Q8—53no—
332C2×C4×Q8C2×D511yescharacteristic
333C2×C4×Q8C2×D511yescharacteristic
334C2×C4×Q8C2×D511yescharacteristic
335C2×C4×Q8C2×D513yes—
336C2×C4×D4—53no—
337C2×C4×D4—56no—
338C2×C4×D4—53no—
339C2×C4×D4—53no—
340C2×C4×D4—53no—
341C2×C4×D4—53no—
342C2×#117—53no—
343C2×#117—56no—
344C2×#117—53no—
345C2×#117—53no—
346C22×C4⋊C4—53no—
347C22×C4⋊C4—53no—
348C22×C42—53no—
349C23×C5C2511yescharacteristic
350C22×D5—22no—
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—26no—
354C22×D5—22no—
355C22×D5—26no—
356C22×D5—26no—
357C22×D5—22no—
358C22×D52−1+414yes—
359C22×D5C2512yes—
360C22×D5C2516yes—
361C22×D5C2512yes—
362C5×Q8—412no—
363C5×Q8C2×#41116yes—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—26no—
367C2×C4×C5—26no—
368C2×C4×C5—26no—
369C2×C4×C5—22no—
370C2×C4×C5C2×#41112yes—
371C2×C4×C5C2512yes—
372C2×C4×C5C2516yes—
373C2×C4×C5C2516yes—
374C2×C4×C5C2512yes—
375C2×C4×C5C2512yes—
376C2×C4×C5C2516yes—
377C2×C4×C5C2516yes—
378C2×Dic5—26no—
379C2×Dic5—26no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—26no—
383C2×Dic5C2512yes—
384C2×Dic5C2516yes—
385C2×Dic5C2516yes—
386C2×Dic5C2516yes—
387C2×Dic5C2512yes—
388D20—28no—
389D20—224no—
390D20—224no—
391D20—412no—
392C4×D5—28no—
393C4×D5—224no—
394C4×D5—224no—
395C4×D5—224no—
396C4×D5—424no—
397C4×D5—412no—
398Dic10—224no—
399Dic10—224no—
400C2×#41—58no—
401C2×#41—108no—
402C22×Q8—58no—
403C22×Q8—58no—
404C22×Q8—53no—
405C22×Q8—53no—
406C22×Q8—108no—
407C22×Q8—108no—
408C22×Q8C22×D513yes—
409C22×Q8C22×D511yescharacteristic
410C22×D4—53no—
411C22×D4—51no—
412C22×D4—53no—
413C22×D4—53no—
414C23×C4—53no—
415C23×C4—53no—
416C23×C4—53no—
417C23×C4—51no—
418C23×C4—53no—
419C23×C4—56no—
420C4⋊Q8—524no—
421C4⋊Q8C22×D5124yes—
422#126—548no—
423#126—524no—
424#126—524no—
425#126—548no—
426#125—524no—
427#125—548no—
428#125C22×D5124yes—
429#125C22×D5124yes—
430#124—524no—
431#124—524no—
432#124—524no—
433#123—58no—
434#123—524no—
435#123—548no—
436C22⋊Q8—524no—
437C22⋊Q8—548no—
438C22⋊Q8—524no—
439C22⋊Q8—524no—
440C22⋊Q8—524no—
441C22⋊Q8—524no—
442#121—524no—
443#121—524no—
444#121—524no—
445C4×Q8—58no—
446C4×Q8—524no—
447C4×Q8—524no—
448C4×Q8—524no—
449C4×Q8—524no—
450C4×Q8C22×D518yes—
451C4×Q8C22×D518yes—
452C4×Q8C22×D518yes—
453C4×Q8C22×D5124yes—
454C4×D4—524no—
455C4×D4—548no—
456C4×D4—524no—
457C4×D4—524no—
458C4×D4—524no—
459C4×D4—524no—
460#117—524no—
461#117—548no—
462#117—524no—
463#117—524no—
464C2×C4⋊C4—53no—
465C2×C4⋊C4—53no—
466C2×C4⋊C4—56no—
467C2×C4⋊C4—51no—
468C2×C4⋊C4—53no—
469C2×C4⋊C4—53no—
470C2×C4⋊C4—56no—
471C2×C4⋊C4—53no—
472C2×C4⋊C4—53no—
473C2×C4⋊C4—53no—
474C2×C4⋊C4—524no—
475C2×C4⋊C4—524no—
476C2×C4⋊C4C22×D513yes—
477C2×C4⋊C4C22×D513yes—
478C2×C4⋊C4C22×D513yes—
479C2×C4⋊C4C22×D513yes—
480C2×C4⋊C4C22×D516yes—
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C4⋊C4C22×D513yes—
483C2×C22⋊C4—53no—
484C2×C22⋊C4—51no—
485C2×C22⋊C4—53no—
486C2×C22⋊C4—53no—
487C2×C22⋊C4—53no—
488C2×C22⋊C4—56no—
489C2×C22⋊C4—53no—
490C2×C22⋊C4—51no—
491C2×C22⋊C4—51no—
492C2×C22⋊C4—56no—
493C2×C22⋊C4—53no—
494C2×C22⋊C4—53no—
495C2×C42—53no—
496C2×C42—56no—
497C2×C42—53no—
498C2×C42—53no—
499C2×C42—524no—
500C2×C42C22×D513yes—
501C2×C42C22×D513yes—
502C2×C42C22×D513yes—
503C22×C5C22×#4112yes—
504C22×C5C2×2−1+412yes—
505C22×C5#58512yes—
506C22×C5C2611yescharacteristic
507C2×D5—22no—
508C2×D5—22no—
509C2×D5—28no—
510C2×D5—22no—
511C2×D5—26no—
512C2×D5—22no—
513C2×D5—26no—
514C2×D5—26no—
515C2×D5—22no—
516C2×D5—44no—
517C2×D5—412no—
518C2×D5C2×2−1+414yes—
519C4×C5—22no—
520C4×C5—26no—
521C4×C5—22no—
522C4×C5—26no—
523C4×C5—26no—
524C4×C5—22no—
525C4×C5C22×#41112yes—
526Dic5—26no—
527Dic5—26no—
528Dic5—22no—
529Dic5—22no—
530Dic5—26no—
531C24—51no—
532C24—51no—
533C24—53no—
534#41—1032no—
535C2×Q8—46no—
536C2×Q8—512no—
537C2×Q8—512no—
538C2×Q8—1032no—
539C2×Q8—1032no—
540C2×Q8—1012no—
541C2×Q8—1012no—
542C2×Q8#71318yes—
543C2×Q8C23×D5112yes—
544C2×Q8C23×D514yes—
545C2×D4—512no—
546C2×D4—54no—
547C2×D4—512no—
548C2×D4—512no—
549C2×D4—1012no—
550C2×D4—104no—
551C2×D4—1012no—
552C2×D4—206no—
553C22×C4—51no—
554C22×C4—53no—
555C22×C4—53no—
556C22×C4—53no—
557C22×C4—51no—
558C22×C4—54no—
559C22×C4—512no—
560C22×C4—512no—
561C22×C4—512no—
562C22×C4—512no—
563C22×C4—524no—
564C22×C4—104no—
565C22×C4—1012no—
566C22×C4—1012no—
567C22×C4—1012no—
568C22×C4—2012no—
569C22×C4—206no—
570C22×C4C23×D511yescharacteristic
571C22×C4C23×D513yes—
572C22×C4C23×D513yes—
573C22×C4C23×D511yescharacteristic
574C22×C4C23×D511yescharacteristic
575C22×C4C23×D513yes—
576C22×C4C23×D513yes—
577C4⋊C4—512no—
578C4⋊C4—512no—
579C4⋊C4—524no—
580C4⋊C4—54no—
581C4⋊C4—512no—
582C4⋊C4—512no—
583C4⋊C4—524no—
584C4⋊C4—512no—
585C4⋊C4—512no—
586C4⋊C4—512no—
587C4⋊C4C23×D5112yes—
588C4⋊C4C23×D5112yes—
589C4⋊C4C23×D5112yes—
590C4⋊C4C23×D5112yes—
591C4⋊C4C23×D5124yes—
592C4⋊C4C23×D514yes—
593C4⋊C4C23×D5112yes—
594C22⋊C4—512no—
595C22⋊C4—54no—
596C22⋊C4—512no—
597C22⋊C4—512no—
598C22⋊C4—512no—
599C22⋊C4—524no—
600C22⋊C4—512no—
601C22⋊C4—54no—
602C22⋊C4—54no—
603C22⋊C4—524no—
604C22⋊C4—512no—
605C22⋊C4—512no—
606C42—512no—
607C42—512no—
608C42—512no—
609C42—524no—
610C42C23×D5112yes—
611C42C23×D5112yes—
612C42C23×D5112yes—
613C2×C5#351614yescomplemented
614C2×C5C23×#4111yescharacteristic
615C2×C5C22×2−1+411yescharacteristic
616C2×C5C2×#58511yescharacteristic
617D5—24no—
618D5—42no—
619D5—46no—
620C23—54no—
621C23—52no—
622C23—52no—
623C23—56no—
624C23—102no—
625C23—102no—
626C23—102no—
627C23—106no—
628C23—106no—
629C23—102no—
630C23—102no—
631C23—106no—
632C23C24×D511yescharacteristic
633Q8—412no—
634Q8—1024no—
635Q8—1024no—
636Q8C2×#713116yes—
637D4—1024no—
638D4—108no—
639D4—1024no—
640D4—2012no—
641C2×C4—26no—
642C2×C4—26no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—26no—
646C2×C4—22no—
647C2×C4—52no—
648C2×C4—56no—
649C2×C4—56no—
650C2×C4—56no—
651C2×C4—52no—
652C2×C4—108no—
653C2×C4—102no—
654C2×C4—106no—
655C2×C4—106no—
656C2×C4—106no—
657C2×C4—102no—
658C2×C4—1024no—
659C2×C4—1024no—
660C2×C4—1024no—
661C2×C4—2024no—
662C2×C4—2012no—
663C2×C4C2×#713112yes—
664C2×C4C24×D512yes—
665C2×C4C24×D516yes—
666C2×C4C24×D516yes—
667C2×C4C24×D512yes—
668C2×C4C24×D512yes—
669C2×C4C24×D516yes—
670C2×C4C24×D516yes—
671C5C2×#351611yescharacteristic, complemented, Sylow
672C22—54no—
673C22—102no—
674C22—102no—
675C22—108no—
676C22—102no—
677C22—106no—
678C22—106no—
679C22—102no—
680C22—102no—
681C22—106no—
682C22—204no—
683C22—2012no—
684C22C22×#71312yes—
685C22#6628312yes—
686C22D5×2−1+412yes—
687C22C25×D511yescharacteristic
688C4—26no—
689C4—26no—
690C4—22no—
691C4—22no—
692C4—26no—
693C4—22no—
694C4—102no—
695C4—106no—
696C4—106no—
697C4—106no—
698C4—102no—
699C4C22×#713112yes—
700C2—104no—
701C2—202no—
702C2—206no—
703C2#1061892314yesdirect product factor
704C2C23×#71311yescharacteristic
705C2C2×#6628311yescharacteristic
706C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#557C2
socleC23×C5C25
hypercenterC2×#557D5
hypocenterC5C2×#3516
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C5×#557C2semidirect
2. #10618923C2direct (N × H)
3. C2×#66064C2semidirect
4. C2×#66067C2semidirect
5. C2×#66029C2semidirect
6. C2×#66028C2semidirect
7. C2×#66031C2semidirect
8. C2×#66025C2semidirect
9. C2×Q8×D20C2semidirect
10. C2×#65910C2semidirect
11. C2×#65910C2semidirect
12. C2×#65914C2semidirect
13. C2×#65906C2semidirect
14. C2×C4×Q8×D5C2semidirect
15. C2×#65918C2semidirect
16. C2×#65908C2semidirect
20. C5×#557C22semidirect
32. #66067C22semidirect
33. #66064C22semidirect
34. #66031C22semidirect
35. #66029C22semidirect
36. #66028C22semidirect
37. #66025C22semidirect
38. #65918C22semidirect
39. #65914C22semidirect
40. #65910C22semidirect
41. #65910C22semidirect
42. Q8×D20C22semidirect
43. #65908C22semidirect
44. #65906C22semidirect
45. C4×Q8×D5C22semidirect
187. C2×#557D5semidirect
287. #557C2×D5semidirect
613. C2×C5#3516semidirect
671. C5C2×#3516semidirect
703. C2#10618923direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5572
#106189232
C2×#660642
C2×#660672
C2×#660292
C2×#660282
C2×#660312
C2×#660252
C2×Q8×D202
C2×#659102
C2×#659142
C2×#659062
C2×C4×Q8×D52
C2×#659182
C2×#659082
C2×#35165