Finite Group Databasebeta

← C2×#10617779 #13007565

Subgroups — C2×#10617779 #13007565

Order 1280.

7118 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×#519C211yesmaximal, characteristic, complemented
2C2×#66151C211yesmaximal, characteristic, complemented
3C2×Q8×C22⋊D5C211yesmaximal, characteristic, complemented
4#10617779C2132yesmaximal, direct product factor
5C2×#65910C211yesmaximal, characteristic, complemented
6C2×#65916C213yesmaximal, complemented
7C2×#65912C213yesmaximal, complemented
8C2×#65906C211yesmaximal, characteristic, complemented
9C2×Q8×Dic10C211yesmaximal, characteristic, complemented
10C2×#65902C213yesmaximal, complemented
11C2×#65918C213yesmaximal, complemented
12C2×C4×#713C211yesmaximal, characteristic, complemented
13C2×#65867C213yesmaximal, complemented
14C2×#65866C213yesmaximal, complemented
15C2×#65868C213yesmaximal, complemented
16C2×#65862C213yesmaximal, complemented
17C23×C5×Q8C2211yescharacteristic
18C22×#713C2211yescharacteristic
19C22×Q8×D5C2211yescharacteristic
20C5×#519C22116yescomplemented
21C2×C4×C5×Q8C2211yescharacteristic
22C2×C4×C5×Q8C2213yes—
23C2×C4×C5×Q8C2211yescharacteristic
24C2×C4×C5×Q8C2213yes—
25C2×C5×#117C2213yes—
26C2×C5×#117C2213yes—
27#66151C22116yescomplemented
28Q8×C22⋊D5C22116yescomplemented
29C2×#4093C2213yes—
30C2×#4092C2213yes—
31C2×#4092C2213yes—
32C2×Q8×Dic5C2211yescharacteristic
33C2×Q8×Dic5C2211yescharacteristic
34C2×#4090C2213yes—
35C2×#4076C2213yes—
36C2×C4×C22⋊D5C2213yes—
37C2×C4×C22⋊D5C2213yes—
38C2×#4070C2213yes—
39#65918C22148yescomplemented
40#65916C22148yescomplemented
41#65912C22148yescomplemented
42#65910C22116yescomplemented
43C4×#713C22116yescomplemented
44#65906C22116yescomplemented
45#65902C22148yescomplemented
46Q8×Dic10C22116yescomplemented
47#65868C22148yescomplemented
48#65867C22148yescomplemented
49#65866C22148yescomplemented
50#65862C22148yescomplemented
51C2×#4044C2213yes—
52C2×#4044C2216yes—
53C2×#4043C2213yes—
54C2×#4042C2213yes—
55C2×#4042C2216yes—
56C2×#4041C2213yes—
57C2×#4040C2213yes—
58C2×#4039C2213yes—
59C2×#4038C2213yes—
60C2×#4038C2213yes—
61C2×#4035C2213yes—
62C2×#4034C2213yes—
63C2×#4034C2213yes—
64C2×#4033C2213yes—
65C2×#4031C2211yescharacteristic
66C2×#4031C2216yes—
67C2×#4030C2213yes—
68C2×#4029C2213yes—
69C2×#4025C2213yes—
70C2×#4022C2216yes—
71C2×#4021C2213yes—
72C2×#4021C2216yes—
73C2×C4×D20C2213yes—
74C2×C4×D20C2213yes—
75C2×#4018C2213yes—
76C2×#4018C2216yes—
77C2×C42×D5C2213yes—
78C2×#4015C2213yes—
79C2×C4×Dic10C2213yes—
80C2×C4×Dic10C2213yes—
81C2×C4×Dic10C2216yes—
82C2×#3518—51nomaximal, Sylow
83C22×C5×Q8—28no—
84C22×C5×Q8C2313yes—
85C22×C5×Q8C2318yes—
86C22×C5×Q8C2311yescharacteristic
87C23×C4×C5C2313yes—
88C22×C22⋊D5C2311yescharacteristic
89C22×C22⋊D5C2313yes—
90C2×#713—28no—
91C2×#713C2318yes—
92C2×Q8×D5—28no—
93C2×Q8×D5C2318yes—
94C22×D20C2313yes—
95C22×D20C2313yes—
96C22×C4×D5C2313yes—
97C22×C4×D5C2313yes—
98C22×C4×D5C2313yes—
99C22×C4×D5C2313yes—
100C22×Dic10C2311yescharacteristic
101C22×Dic10C2313yes—
102C22×Dic10C2316yes—
103C4×C5×Q8C2318yes—
104C4×C5×Q8C23124yes—
105C4×C5×Q8C2318yes—
106C4×C5×Q8C23124yes—
107C5×#117C23124yes—
108C5×#117C23124yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C4⋊C4C2313yes—
112C2×C5×C4⋊C4C2313yes—
113C2×C5×C22⋊C4C2313yes—
114C2×C5×C22⋊C4C2311yescharacteristic
115C2×C42×C5C2313yes—
116C2×C42×C5C2313yes—
117C2×C42×C5C2316yes—
118C2×C22⋊Dic5C2311yescharacteristic
119C2×C22⋊Dic5C2313yes—
120#4093C23124yes—
121#4092C23124yes—
122#4092C23124yes—
123Q8×Dic5C2318yes—
124Q8×Dic5C2318yes—
125#4090C23124yes—
126#4076C23124yes—
127C4×C22⋊D5C23124yes—
128C4×C22⋊D5C23124yes—
129C2×#685C2311yescharacteristic
130C2×#685C2313yes—
131C2×#685C2316yes—
132C2×#685C2316yes—
133C2×#685C2311yescharacteristic
134C2×#685C2313yes—
135C2×#685C2316yes—
136C2×#685C2313yes—
137C2×#685C2313yes—
138C2×C4⋊Dic5C2313yes—
139C2×C4⋊Dic5C2313yes—
140C2×C4⋊Dic5C2313yes—
141C2×C4⋊Dic5C2313yes—
142#4070C23124yes—
143C2×#683C2313yes—
144C2×#683C2313yes—
145C2×#683C2313yes—
146C2×#683C2313yes—
147C2×#683C2316yes—
148C2×#683C2313yes—
149C2×#683C2313yes—
150C2×C4×Dic5C2313yes—
151C2×C4×Dic5C2316yes—
152C2×C4×Dic5C2313yes—
153C2×C4×Dic5C2313yes—
154C2×C4×Dic5C2311yescharacteristic
155#4044C23124yes—
156#4044C23148yes—
157#4043C23124yes—
158#4042C23124yes—
159#4042C23148yes—
160#4041C23124yes—
161#4040C23124yes—
162#4039C23124yes—
163#4038C23124yes—
164#4038C23124yes—
165#4035C23124yes—
166#4034C23124yes—
167#4034C23124yes—
168#4033C23124yes—
169#4031C2318yes—
170#4031C23148yes—
171#4030C23124yes—
172#4029C23124yes—
173#4025C23124yes—
174#4022C23148yes—
175#4021C23148yes—
176#4021C23124yes—
177C4×D20C23124yes—
178C4×D20C23124yes—
179#4018C23124yes—
180#4018C23148yes—
181C42×D5C23124yes—
182#4015C23124yes—
183C4×Dic10C23124yes—
184C4×Dic10C23148yes—
185C4×Dic10C23124yes—
186#3518—532no—
187C2×Q82—51no—
188C2×#556—53no—
189C2×#556—53no—
190C2×#556—53no—
191C2×#555—53no—
192C2×D4×Q8—51no—
193C2×#548—51no—
194C2×#548—51no—
195C2×#542—53no—
196C2×#542—53no—
197C2×#533—53no—
198C2×#529—53no—
199C2×#519—51no—
200C2×#519D511yescharacteristic, complemented
201C2×C4×#41—51no—
202C24×C5C2411yescharacteristic
203C23×D5C2411yescharacteristic
204C23×D5C2413yes—
205C2×C5×Q8—232no—
206C2×C5×Q8—212no—
207C2×C5×Q8#4118yes—
208C2×C5×Q8C24112yes—
209C2×C5×Q8C2414yes—
210C22×C4×C5—212no—
211C22×C4×C5C2413yes—
212C22×C4×C5C2411yescharacteristic
213C22×C4×C5C2411yescharacteristic
214C22×C4×C5C2413yes—
215C22×C4×C5C2413yes—
216C22×C4×C5C24112yes—
217C22×C4×C5C2413yes—
218C2×C22⋊D5—24no—
219C2×C22⋊D5—46no—
220C2×C22⋊D5C2414yes—
221C2×C22⋊D5C24112yes—
222C22×Dic5C2413yes—
223C22×Dic5C2413yes—
224C22×Dic5C2411yescharacteristic
225C22×Dic5C2411yescharacteristic
226C22×Dic5C2413yes—
227C22×Dic5C2411yescharacteristic
228#713—232no—
229Q8×D5—232no—
230C2×D20—212no—
231C2×D20—46no—
232C2×D20C24112yes—
233C2×D20C24112yes—
234C2×C4×D5—212no—
235C2×C4×D5—212no—
236C2×C4×D5—212no—
237C2×C4×D5—46no—
238C2×C4×D5C24112yes—
239C2×C4×D5C24112yes—
240C2×C4×D5C24112yes—
241C2×C4×D5C24112yes—
242C2×Dic10—212no—
243C2×Dic10—24no—
244C2×Dic10—412no—
245C2×Dic10C24112yes—
246C2×Dic10C2414yes—
247C2×Dic10C24124yes—
248C5×C4⋊C4C24112yes—
249C5×C4⋊C4C24112yes—
250C5×C4⋊C4C24112yes—
251C5×C4⋊C4C24112yes—
252C5×C22⋊C4C24112yes—
253C5×C22⋊C4C2414yes—
254C42×C5C24112yes—
255C42×C5C24112yes—
256C42×C5C24124yes—
257C22⋊Dic5C2414yes—
258C22⋊Dic5C24112yes—
259#685C2414yes—
260#685C24112yes—
261#685C24124yes—
262#685C24124yes—
263#685C2414yes—
264#685C24112yes—
265#685C24124yes—
266#685C24112yes—
267#685C24112yes—
268C4⋊Dic5C24112yes—
269C4⋊Dic5C24112yes—
270C4⋊Dic5C24112yes—
271C4⋊Dic5C24112yes—
272#683C24112yes—
273#683C24112yes—
274#683C24112yes—
275#683C24112yes—
276#683C24124yes—
277#683C24112yes—
278#683C24112yes—
279C4×Dic5C24112yes—
280C4×Dic5C24124yes—
281C4×Dic5C24112yes—
282C4×Dic5C24112yes—
283C4×Dic5C2414yes—
284C22×#41—51no—
285C23×Q8—51no—
286C23×Q8C2×D511yescharacteristic
287Q82—516no—
288#556—548no—
289#556—548no—
290#556—548no—
291#555—548no—
292D4×Q8—516no—
293#548—516no—
294#548—516no—
295#542—548no—
296#542—548no—
297#533—548no—
298C2×C4⋊Q8—53no—
299C2×C4⋊Q8—53no—
300C2×C4⋊Q8—53no—
301C2×C4⋊Q8—53no—
302#529—548no—
303C2×#126—53no—
304C2×#126—56no—
305C2×#126—53no—
306C2×#126—56no—
307C2×#125—53no—
308C2×#124—53no—
309C2×#124—51no—
310C2×#124—56no—
311C2×#124—53no—
312C2×#124—56no—
313C2×#123—53no—
314C2×#123—53no—
315C2×C22⋊Q8—53no—
316C2×C22⋊Q8—53no—
317C2×C22⋊Q8—53no—
318C2×C22⋊Q8—53no—
319C2×C22⋊Q8—56no—
320C2×C22⋊Q8—53no—
321C2×#121—53no—
322C2×#121—53no—
323C2×#121—53no—
324#519—516no—
325#519C2×D5116yescomplemented
326C4×#41—516no—
327C2×C4×Q8—51no—
328C2×C4×Q8—51no—
329C2×C4×Q8—53no—
330C2×C4×Q8—53no—
331C2×C4×Q8—53no—
332C2×C4×Q8—56no—
333C2×C4×Q8C2×D511yescharacteristic
334C2×C4×Q8C2×D513yes—
335C2×C4×Q8C2×D511yescharacteristic
336C2×C4×Q8C2×D513yes—
337C2×C4×D4—53no—
338C2×C4×D4—53no—
339C2×C4×D4—53no—
340C2×C4×D4—53no—
341C2×C4×D4—53no—
342C2×#117—53no—
343C2×#117—53no—
344C2×#117—53no—
345C2×#117—56no—
346C2×#117C2×D513yes—
347C2×#117C2×D513yes—
348C22×C42—53no—
349C23×C5—22no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5C2512yes—
353C23×C5C2511yescharacteristic
354C22×D5—22no—
355C22×D5—26no—
356C22×D5—26no—
357C22×D5—22no—
358C22×D5—26no—
359C22×D5—22no—
360C22×D5C2512yes—
361C22×D5C2516yes—
362C5×Q8—224no—
363C5×Q8C2×#41116yes—
364C2×C4×C5—26no—
365C2×C4×C5—22no—
366C2×C4×C5—26no—
367C2×C4×C5—26no—
368C2×C4×C5—22no—
369C2×C4×C5—224no—
370C2×C4×C5C2×#41112yes—
371C2×C4×C5C2516yes—
372C2×C4×C5C2512yes—
373C2×C4×C5C2516yes—
374C2×C4×C5C2516yes—
375C2×C4×C5C2512yes—
376C2×C4×C5C2516yes—
377C22⋊D5—28no—
378C22⋊D5—412no—
379C2×Dic5—26no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—26no—
383C2×Dic5—26no—
384C2×Dic52−1+414yes—
385C2×Dic5C2512yes—
386C2×Dic5C2512yes—
387C2×Dic5C2516yes—
388C2×Dic5C2516yes—
389C2×Dic5C2516yes—
390C2×Dic5C2512yes—
391D20—224no—
392D20—412no—
393C4×D5—224no—
394C4×D5—224no—
395C4×D5—224no—
396C4×D5—412no—
397Dic10—224no—
398Dic10—28no—
399Dic10—424no—
400C2×#41—58no—
401C2×#41—108no—
402C22×Q8—28no—
403C22×Q8—58no—
404C22×Q8—51no—
405C22×Q8—53no—
406C22×Q8—56no—
407C22×Q8—108no—
408C22×Q8C22×D513yes—
409C22×Q8C22×D518yes—
410C22×Q8C22×D511yescharacteristic
411C22×D4—51no—
412C22×D4—53no—
413C22×D4—53no—
414C22×D4—53no—
415C23×C4—53no—
416C23×C4—53no—
417C23×C4—53no—
418C23×C4—53no—
419C23×C4C22×D513yes—
420C4⋊Q8—524no—
421C4⋊Q8—524no—
422C4⋊Q8—524no—
423C4⋊Q8—524no—
424#126—524no—
425#126—548no—
426#126—524no—
427#126—548no—
428#125—524no—
429#124—524no—
430#124—58no—
431#124—548no—
432#124—524no—
433#124—548no—
434#123—524no—
435#123—524no—
436C22⋊Q8—524no—
437C22⋊Q8—524no—
438C22⋊Q8—524no—
439C22⋊Q8—524no—
440C22⋊Q8—548no—
441C22⋊Q8—524no—
442#121—524no—
443#121—524no—
444#121—524no—
445C4×Q8—58no—
446C4×Q8—58no—
447C4×Q8—524no—
448C4×Q8—524no—
449C4×Q8—524no—
450C4×Q8—548no—
451C4×Q8C22×D518yes—
452C4×Q8C22×D5124yes—
453C4×Q8C22×D518yes—
454C4×Q8C22×D5124yes—
455C4×D4—524no—
456C4×D4—524no—
457C4×D4—524no—
458C4×D4—524no—
459C4×D4—524no—
460#117—524no—
461#117—524no—
462#117—524no—
463#117—548no—
464#117C22×D5124yes—
465#117C22×D5124yes—
466C2×C4⋊C4—53no—
467C2×C4⋊C4—53no—
468C2×C4⋊C4—53no—
469C2×C4⋊C4—53no—
470C2×C4⋊C4—53no—
471C2×C4⋊C4—53no—
472C2×C4⋊C4—53no—
473C2×C4⋊C4—53no—
474C2×C4⋊C4—56no—
475C2×C4⋊C4—53no—
476C2×C4⋊C4—53no—
477C2×C4⋊C4C22×D513yes—
478C2×C4⋊C4C22×D513yes—
479C2×C4⋊C4C22×D513yes—
480C2×C4⋊C4C22×D513yes—
481C2×C22⋊C4—51no—
482C2×C22⋊C4—53no—
483C2×C22⋊C4—53no—
484C2×C22⋊C4—51no—
485C2×C22⋊C4—56no—
486C2×C22⋊C4—56no—
487C2×C22⋊C4—56no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—53no—
490C2×C22⋊C4—53no—
491C2×C22⋊C4—53no—
492C2×C22⋊C4C22×D513yes—
493C2×C22⋊C4C22×D511yescharacteristic
494C2×C42—56no—
495C2×C42—53no—
496C2×C42—53no—
497C2×C42—53no—
498C2×C42—51no—
499C2×C42—524no—
500C2×C42C22×D513yes—
501C2×C42C22×D516yes—
502C2×C42C22×D513yes—
503C22×C5—22no—
504C22×C5—22no—
505C22×C5—22no—
506C22×C5—44no—
507C22×C5C22×#4112yes—
508C22×C5C2×2−1+412yes—
509C22×C5#58512yes—
510C22×C5C2611yescharacteristic
511C2×D5—22no—
512C2×D5—26no—
513C2×D5—26no—
514C2×D5—22no—
515C2×D5—26no—
516C2×D5—22no—
517C2×D5—44no—
518C2×D5—412no—
519C4×C5—26no—
520C4×C5—22no—
521C4×C5—26no—
522C4×C5—26no—
523C4×C5—22no—
524C4×C5C22×#41112yes—
525Dic5—26no—
526Dic5—22no—
527Dic5—22no—
528Dic5—26no—
529Dic5—26no—
530Dic5C2×2−1+414yes—
531C24—51no—
532C24—53no—
533C24C23×D511yescharacteristic
534#41—1032no—
535C2×Q8—232no—
536C2×Q8—212no—
537C2×Q8—54no—
538C2×Q8—512no—
539C2×Q8—524no—
540C2×Q8—104no—
541C2×Q8—1032no—
542C2×Q8—1012no—
543C2×Q8—2012no—
544C2×Q8#70918yes—
545C2×Q8C23×D5112yes—
546C2×Q8C23×D514yes—
547C2×D4—54no—
548C2×D4—512no—
549C2×D4—512no—
550C2×D4—512no—
551C2×D4—104no—
552C2×D4—1012no—
553C2×D4—206no—
554C2×D4—206no—
555C22×C4—212no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—51no—
559C22×C4—53no—
560C22×C4—53no—
561C22×C4—53no—
562C22×C4—512no—
563C22×C4—512no—
564C22×C4—512no—
565C22×C4—512no—
566C22×C4—1012no—
567C22×C4—1012no—
568C22×C4—1012no—
569C22×C4—206no—
570C22×C4C23×D5112yes—
571C22×C4C23×D513yes—
572C22×C4C23×D511yescharacteristic
573C22×C4C23×D511yescharacteristic
574C22×C4C23×D513yes—
575C22×C4C23×D513yes—
576C22×C4C23×D513yes—
577C4⋊C4—512no—
578C4⋊C4—512no—
579C4⋊C4—512no—
580C4⋊C4—512no—
581C4⋊C4—512no—
582C4⋊C4—512no—
583C4⋊C4—512no—
584C4⋊C4—512no—
585C4⋊C4—524no—
586C4⋊C4—512no—
587C4⋊C4—512no—
588C4⋊C4C23×D5112yes—
589C4⋊C4C23×D5112yes—
590C4⋊C4C23×D5112yes—
591C4⋊C4C23×D5112yes—
592C22⋊C4—54no—
593C22⋊C4—512no—
594C22⋊C4—512no—
595C22⋊C4—54no—
596C22⋊C4—524no—
597C22⋊C4—524no—
598C22⋊C4—524no—
599C22⋊C4—54no—
600C22⋊C4—512no—
601C22⋊C4—512no—
602C22⋊C4—512no—
603C22⋊C4C23×D5112yes—
604C22⋊C4C23×D514yes—
605C42—54no—
606C42—512no—
607C42—512no—
608C42—524no—
609C42—512no—
610C42C23×D5112yes—
611C42C23×D5124yes—
612C42C23×D5112yes—
613C2×C5—42no—
614C2×C5#351814yescomplemented
615C2×C5C23×#4111yescharacteristic
616C2×C5C22×2−1+411yescharacteristic
617C2×C5C2×#58511yescharacteristic
618D5—42no—
619D5—46no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—52no—
624C23—56no—
625C23—102no—
626C23—106no—
627C23—106no—
628C23—102no—
629C23—106no—
630C23—102no—
631C23C24×D512yes—
632C23C24×D511yescharacteristic
633Q8—224no—
634Q8—108no—
635Q8—1024no—
636Q8—2024no—
637Q8C2×#709116yes—
638D4—108no—
639D4—1024no—
640D4—2012no—
641D4—2012no—
642C2×C4—26no—
643C2×C4—26no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—26no—
647C2×C4—224no—
648C2×C4—54no—
649C2×C4—52no—
650C2×C4—52no—
651C2×C4—52no—
652C2×C4—56no—
653C2×C4—56no—
654C2×C4—56no—
655C2×C4—1024no—
656C2×C4—102no—
657C2×C4—106no—
658C2×C4—102no—
659C2×C4—106no—
660C2×C4—106no—
661C2×C4—1024no—
662C2×C4—1024no—
663C2×C4—2012no—
664C2×C4C2×#709112yes—
665C2×C4C24×D516yes—
666C2×C4C24×D512yes—
667C2×C4C24×D512yes—
668C2×C4C24×D516yes—
669C2×C4C24×D516yes—
670C2×C4C24×D516yes—
671C5C2×#351811yescharacteristic, complemented, Sylow
672C22—22no—
673C22—22no—
674C22—22no—
675C22—44no—
676C22—102no—
677C22—106no—
678C22—106no—
679C22—102no—
680C22—106no—
681C22—102no—
682C22—204no—
683C22—2012no—
684C22C22×#70912yes—
685C22D5×2−1+412yes—
686C22#6628712yes—
687C22C25×D511yescharacteristic
688C4—26no—
689C4—22no—
690C4—26no—
691C4—26no—
692C4—22no—
693C4—54no—
694C4—102no—
695C4—106no—
696C4—106no—
697C4—106no—
698C4—102no—
699C4C22×#709112yes—
700C2—42no—
701C2—202no—
702C2—206no—
703C2#1061777914yesdirect product factor
704C2C23×#70911yescharacteristic
705C2C2×#6628711yescharacteristic
706C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#519C2
socleC23×C5C25
hypercenterC2×#519D5
hypocenterC5C2×#3518
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#519

Complements

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

NH ≅ G/Ntype
1. C2×C5×#519C2semidirect
2. C2×#66151C2semidirect
3. C2×Q8×C22⋊D5C2semidirect
4. #10617779C2direct (N × H)
5. C2×#65910C2semidirect
6. C2×#65916C2semidirect
7. C2×#65912C2semidirect
8. C2×#65906C2semidirect
9. C2×Q8×Dic10C2semidirect
10. C2×#65902C2semidirect
11. C2×#65918C2semidirect
12. C2×C4×#713C2semidirect
13. C2×#65867C2semidirect
14. C2×#65866C2semidirect
15. C2×#65868C2semidirect
16. C2×#65862C2semidirect
20. C5×#519C22semidirect
27. #66151C22semidirect
28. Q8×C22⋊D5C22semidirect
39. #65918C22semidirect
40. #65916C22semidirect
41. #65912C22semidirect
42. #65910C22semidirect
43. C4×#713C22semidirect
44. #65906C22semidirect
45. #65902C22semidirect
46. Q8×Dic10C22semidirect
47. #65868C22semidirect
48. #65867C22semidirect
49. #65866C22semidirect
50. #65862C22semidirect
200. C2×#519D5semidirect
325. #519C2×D5semidirect
614. C2×C5#3518semidirect
671. C5C2×#3518semidirect
703. C2#10617779direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5192
C2×#661512
C2×Q8×C22⋊D52
#106177792
C2×#659102
C2×#659162
C2×#659122
C2×#659062
C2×Q8×Dic102
C2×#659022
C2×#659182
C2×C4×#7132
C2×#658672
C2×#658662
C2×#658682
C2×#658622
C2×#35185