Finite Group Databasebeta

← C2×#10618650 #13007498

Subgroups — C2×#10618650 #13007498

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×D4×Q8C211yesmaximal, characteristic, complemented
2C2×#66151C211yesmaximal, characteristic, complemented
3C2×#66151C211yesmaximal, characteristic, complemented
4C2×#66146C211yesmaximal, characteristic, complemented
5C22×Q8×Dic5C211yesmaximal, characteristic, complemented
6#10618650C2132yesmaximal, direct product factor
7C2×#66065C213yesmaximal, complemented
8C2×#66066C213yesmaximal, complemented
9C2×#65973C213yesmaximal, complemented
10C2×#65969C213yesmaximal, complemented
11C2×#65977C213yesmaximal, complemented
12C2×#65958C213yesmaximal, complemented
13C2×#65903C211yesmaximal, characteristic, complemented
14C2×#65908C211yesmaximal, characteristic, complemented
15C2×#65899C213yesmaximal, complemented
16C2×#65872C213yesmaximal, complemented
17C23×C5×Q8C2211yescharacteristic
18C23×C5×Q8C2211yescharacteristic
19C22×#713C2211yescharacteristic
20C5×D4×Q8C22116yescomplemented
21C2×C5×C4⋊Q8C2213yes—
22C2×C5×C22⋊Q8C2213yes—
23C2×C5×C22⋊Q8C2213yes—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×D4C2213yes—
26#66151C22116yescomplemented
27#66151C22116yescomplemented
28C2×#4093C2213yes—
29C2×#4093C2213yes—
30C2×#4092C2213yes—
31C2×#4092C2213yes—
32#66146C22116yescomplemented
33C2×Q8×Dic5C2213yes—
34C2×Q8×Dic5C2213yes—
35C2×Q8×Dic5C2211yescharacteristic
36C2×Q8×Dic5C2211yescharacteristic
37C2×Q8×Dic5C2213yes—
38C2×Q8×Dic5C2213yes—
39C2×Q8×Dic5C2211yescharacteristic
40C2×Q8×Dic5C22116yescomplemented
41C2×#4085C2213yes—
42C2×#4081C2211yescharacteristic
43C2×#4076C2213yes—
44C2×#4076C2213yes—
45C2×C4×C22⋊D5C2213yes—
46C2×C4×C22⋊D5C2213yes—
47C2×#4072C2213yes—
48C2×#4072C2213yes—
49C22×C4⋊Dic5C2213yes—
50C22×C4×Dic5C2213yes—
51#66066C22148yescomplemented
52#66065C22148yescomplemented
53#65977C22148yescomplemented
54#65973C22148yescomplemented
55#65969C22148yescomplemented
56#65958C22148yescomplemented
57#65908C22116yescomplemented
58#65903C22116yescomplemented
59#65899C22148yescomplemented
60#65872C22148yescomplemented
61C2×#4044C2216yes—
62C2×#4044C2213yes—
63C2×#4044C2216yes—
64C2×#4043C2216yes—
65C2×#4039C2213yes—
66C2×#4038C2216yes—
67C2×D5×C4⋊C4C2213yes—
68C2×#4036C2213yes—
69C2×#4035C2216yes—
70C2×#4035C2213yes—
71C2×#4034C2213yes—
72C2×#4032C2213yes—
73C2×#4031C2213yes—
74C2×#4029C2216yes—
75C2×#4027C2216yes—
76C2×#4025C2213yes—
77C2×#4024C2213yes—
78C2×C4×D20C2213yes—
79C2×#4018C2213yes—
80C2×#4016C2213yes—
81C2×C4×Dic10C2213yes—
82C2×#3516—51nomaximal, Sylow
83C22×C5×Q8—28no—
84C22×C5×Q8—28no—
85C22×C5×Q8C2313yes—
86C22×C5×Q8C2313yes—
87C22×C5×Q8C2318yes—
88C22×C5×Q8C2318yes—
89C22×C5×Q8C2311yescharacteristic
90C22×C5×D4C2311yescharacteristic
91C23×C4×C5C2313yes—
92C23×C4×C5C2313yes—
93C22×C22⋊D5C2313yes—
94C22×C22⋊D5C2313yes—
95C23×Dic5C2311yescharacteristic
96C23×Dic5C2313yes—
97C2×#713—28no—
98C2×#713C2318yes—
99C22×D20C2313yes—
100C22×C4×D5C2313yes—
101C22×C4×D5C2316yes—
102C22×Dic10C2313yes—
103C5×C4⋊Q8C23124yes—
104C5×C22⋊Q8C23124yes—
105C5×C22⋊Q8C23124yes—
106C4×C5×Q8C2318yes—
107C4×C5×D4C23124yes—
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2316yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C22⋊C4C2313yes—
112C2×C5×C22⋊C4C2313yes—
113C2×C42×C5C2313yes—
114C2×C22⋊Dic5C2311yescharacteristic
115C2×C22⋊Dic5C2311yescharacteristic
116C2×C22⋊Dic5C2313yes—
117C2×C22⋊Dic5C2311yescharacteristic
118#4093C23124yes—
119#4093C23124yes—
120#4092C23124yes—
121#4092C23124yes—
122Q8×Dic5C23124yes—
123Q8×Dic5C23124yes—
124Q8×Dic5C23124yes—
125Q8×Dic5C23124yes—
126Q8×Dic5C2318yes—
127Q8×Dic5C2318yes—
128Q8×Dic5C2318yes—
129#4085C23124yes—
130#4081C2318yes—
131#4076C23124yes—
132#4076C23124yes—
133C4×C22⋊D5C23124yes—
134C4×C22⋊D5C23124yes—
135C2×#685C2313yes—
136C2×#685C2313yes—
137C2×#685C2316yes—
138C2×#685C2316yes—
139C2×#685C2313yes—
140C2×#685C2313yes—
141#4072C23124yes—
142#4072C23124yes—
143C2×C4⋊Dic5C2313yes—
144C2×C4⋊Dic5C2313yes—
145C2×C4⋊Dic5C2313yes—
146C2×C4⋊Dic5C2313yes—
147C2×C4⋊Dic5C2313yes—
148C2×C4⋊Dic5C2316yes—
149C2×C4⋊Dic5C2313yes—
150C2×C4⋊Dic5C23124yes—
151C2×#683C2311yescharacteristic
152C2×#683C2313yes—
153C2×#683C2316yes—
154C2×#683C2311yescharacteristic
155C2×#683C2313yes—
156C2×#683C2313yes—
157C2×#683C2313yes—
158C2×C4×Dic5C2313yes—
159C2×C4×Dic5C2313yes—
160C2×C4×Dic5C2313yes—
161C2×C4×Dic5C2313yes—
162C2×C4×Dic5C2316yes—
163C2×C4×Dic5C2313yes—
164C2×C4×Dic5C23124yes—
165#4044C23148yes—
166#4044C23148yes—
167#4044C23124yes—
168#4043C23148yes—
169#4039C23124yes—
170#4038C23148yes—
171D5×C4⋊C4C23124yes—
172#4036C23124yes—
173#4035C23124yes—
174#4035C23148yes—
175#4034C23124yes—
176#4032C23124yes—
177#4031C23124yes—
178#4029C23148yes—
179#4027C23148yes—
180#4025C23124yes—
181#4024C23124yes—
182C4×D20C23124yes—
183#4018C23124yes—
184#4016C23124yes—
185C4×Dic10C23124yes—
186#3516—532no—
187C2×#557—51no—
188C2×#556—53no—
189C2×#554—53no—
190C2×#553—53no—
191C2×#552—53no—
192C2×D4×Q8D511yescharacteristic, complemented
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—
202C24×C5C2411yescharacteristic
203C24×C5C2411yescharacteristic
204C23×D5C2413yes—
205C2×C5×Q8—232no—
206C2×C5×Q8—232no—
207C2×C5×Q8—212no—
208C2×C5×Q8—212no—
209C2×C5×Q8#4118yes—
210C2×C5×Q8C24112yes—
211C2×C5×Q8C24112yes—
212C2×C5×Q8C2414yes—
213C2×C5×D4—24no—
214C2×C5×D4C2414yes—
215C22×C4×C5—212no—
216C22×C4×C5—212no—
217C22×C4×C5C2411yescharacteristic
218C22×C4×C5C2413yes—
219C22×C4×C5C2413yes—
220C22×C4×C5C2413yes—
221C22×C4×C5C24112yes—
222C22×C4×C5C24112yes—
223C22×C4×C5C2413yes—
224C2×C22⋊D5—212no—
225C2×C22⋊D5—46no—
226C2×C22⋊D5C24112yes—
227C2×C22⋊D5C24112yes—
228C22×Dic5—24no—
229C22×Dic5—46no—
230C22×Dic5C2411yescharacteristic
231C22×Dic5C2411yescharacteristic
232C22×Dic5C2413yes—
233C22×Dic5C2411yescharacteristic
234C22×Dic5C2411yescharacteristic
235C22×Dic5C2413yes—
236C22×Dic5C2413yes—
237C22×Dic5C2414yes—
238C22×Dic5C24112yes—
239#713—232no—
240C2×D20—212no—
241C2×D20C24112yes—
242C2×C4×D5—212no—
243C2×C4×D5—412no—
244C2×C4×D5C24112yes—
245C2×C4×D5C24124yes—
246C2×Dic10—46no—
247C2×Dic10C24112yes—
248C5×C4⋊C4C24112yes—
249C5×C4⋊C4C24112yes—
250C5×C4⋊C4C24124yes—
251C5×C22⋊C4C24112yes—
252C5×C22⋊C4C24112yes—
253C42×C5C24112yes—
254C22⋊Dic5C2414yes—
255C22⋊Dic5C2414yes—
256C22⋊Dic5C24112yes—
257C22⋊Dic5C2414yes—
258#685C24112yes—
259#685C24112yes—
260#685C24124yes—
261#685C24124yes—
262#685C24112yes—
263#685C24112yes—
264C4⋊Dic5C24112yes—
265C4⋊Dic5C24112yes—
266C4⋊Dic5C24112yes—
267C4⋊Dic5C24112yes—
268C4⋊Dic5C24112yes—
269C4⋊Dic5C24124yes—
270C4⋊Dic5C24112yes—
271#683C2414yes—
272#683C24112yes—
273#683C24124yes—
274#683C2414yes—
275#683C24112yes—
276#683C24112yes—
277#683C24112yes—
278C4×Dic5C24112yes—
279C4×Dic5C24112yes—
280C4×Dic5C24112yes—
281C4×Dic5C24112yes—
282C4×Dic5C24124yes—
283C4×Dic5C24112yes—
284C22×#41—51no—
285C23×Q8C2×D511yescharacteristic
286C23×Q8C2×D511yescharacteristic
287#557—516no—
288#556—548no—
289#554—548no—
290#553—548no—
291#552—548no—
292D4×Q8C2×D5116yescomplemented
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—56no—
304C2×#126—53no—
305C2×#125—53no—
306C2×#125—56no—
307C2×#125—53no—
308C2×#125—53no—
309C2×#124—53no—
310C2×#124—53no—
311C2×#124—53no—
312C2×#123—51no—
313C2×#123—56no—
314C2×#123—53no—
315C2×C22⋊Q8—53no—
316C2×C22⋊Q8—53no—
317C2×C22⋊Q8—56no—
318C2×C22⋊Q8—53no—
319C2×C22⋊Q8C2×D513yes—
320C2×C22⋊Q8C2×D513yes—
321C2×#121—53no—
322C2×#121—53no—
323C2×#121—53no—
324#520—516no—
325#519—516no—
326C2×C4×Q8—51no—
327C2×C4×Q8—53no—
328C2×C4×Q8—51no—
329C2×C4×Q8—53no—
330C2×C4×Q8—516no—
331C2×C4×Q8—53no—
332C2×C4×Q8—51no—
333C2×C4×Q8—53no—
334C2×C4×Q8—53no—
335C2×C4×Q8C2×D511yescharacteristic
336C2×C4×D4—53no—
337C2×C4×D4—53no—
338C2×C4×D4—53no—
339C2×C4×D4—56no—
340C2×C4×D4—53no—
341C2×C4×D4C2×D513yes—
342C2×#117—53no—
343C2×#117—53no—
344C2×#117—56no—
345C2×#117—53no—
346C22×C4⋊C4—53no—
347C22×C4⋊C4—53no—
348C22×C42—53no—
349C23×C5—22no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C52−1+414yes—
355C23×C5C2512yes—
356C23×C5C2512yes—
357C23×C5C2511yescharacteristic
358C22×D5—26no—
359C22×D5—26no—
360C22×D5—26no—
361C22×D5C2516yes—
362C5×Q8—224no—
363C5×Q8—224no—
364C5×Q8C2×#41116yes—
365C5×D4—28no—
366C2×C4×C5—26no—
367C2×C4×C5—26no—
368C2×C4×C5—22no—
369C2×C4×C5—26no—
370C2×C4×C5—224no—
371C2×C4×C5—224no—
372C2×C4×C5C2×#41112yes—
373C2×C4×C5C2516yes—
374C2×C4×C5C2516yes—
375C2×C4×C5C2512yes—
376C2×C4×C5C2516yes—
377C2×C4×C5C2516yes—
378C22⋊D5—224no—
379C22⋊D5—412no—
380C2×Dic5—22no—
381C2×Dic5—28no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—26no—
385C2×Dic5—22no—
386C2×Dic5—26no—
387C2×Dic5—26no—
388C2×Dic5—412no—
389C2×Dic5C2512yes—
390C2×Dic5C2512yes—
391C2×Dic5C2516yes—
392C2×Dic5C2516yes—
393C2×Dic5C2512yes—
394C2×Dic5C2516yes—
395C2×Dic5C2512yes—
396D20—224no—
397C4×D5—224no—
398C4×D5—424no—
399Dic10—412no—
400C2×#41—58no—
401C2×#41—108no—
402C22×Q8—28no—
403C22×Q8—28no—
404C22×Q8—53no—
405C22×Q8C22×D513yes—
406C22×Q8C22×D513yes—
407C22×Q8C22×D518yes—
408C22×Q8C22×D518yes—
409C22×Q8C22×D511yescharacteristic
410C22×D4—53no—
411C22×D4—53no—
412C22×D4—53no—
413C22×D4C22×D511yescharacteristic
414C23×C4—51no—
415C23×C4—53no—
416C23×C4—53no—
417C23×C4—56no—
418C23×C4C22×D513yes—
419C23×C4C22×D513yes—
420C4⋊Q8—524no—
421C4⋊Q8C22×D5124yes—
422#126—548no—
423#126—524no—
424#126—548no—
425#126—524no—
426#125—524no—
427#125—524no—
428#125—548no—
429#125—524no—
430#124—524no—
431#124—524no—
432#124—524no—
433#123—58no—
434#123—524no—
435#123—548no—
436C22⋊Q8—524no—
437C22⋊Q8—524no—
438C22⋊Q8—548no—
439C22⋊Q8—524no—
440C22⋊Q8C22×D5124yes—
441C22⋊Q8C22×D5124yes—
442#121—524no—
443#121—524no—
444#121—524no—
445C4×Q8—58no—
446C4×Q8—524no—
447C4×Q8—58no—
448C4×Q8—524no—
449C4×Q8—524no—
450C4×Q8—58no—
451C4×Q8—524no—
452C4×Q8—524no—
453C4×Q8C22×D518yes—
454C4×D4—524no—
455C4×D4—524no—
456C4×D4—524no—
457C4×D4—548no—
458C4×D4—524no—
459C4×D4C22×D5124yes—
460#117—524no—
461#117—524no—
462#117—548no—
463#117—524no—
464C2×C4⋊C4—53no—
465C2×C4⋊C4—53no—
466C2×C4⋊C4—53no—
467C2×C4⋊C4—56no—
468C2×C4⋊C4—524no—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—53no—
471C2×C4⋊C4—53no—
472C2×C4⋊C4—53no—
473C2×C4⋊C4—53no—
474C2×C4⋊C4—53no—
475C2×C4⋊C4—53no—
476C2×C4⋊C4—56no—
477C2×C4⋊C4—51no—
478C2×C4⋊C4—53no—
479C2×C4⋊C4—524no—
480C2×C4⋊C4C22×D513yes—
481C2×C4⋊C4C22×D516yes—
482C2×C4⋊C4C22×D513yes—
483C2×C22⋊C4—53no—
484C2×C22⋊C4—51no—
485C2×C22⋊C4—51no—
486C2×C22⋊C4—51no—
487C2×C22⋊C4—53no—
488C2×C22⋊C4—53no—
489C2×C22⋊C4—53no—
490C2×C22⋊C4—56no—
491C2×C22⋊C4—56no—
492C2×C22⋊C4—53no—
493C2×C22⋊C4C22×D513yes—
494C2×C22⋊C4C22×D513yes—
495C2×C42—53no—
496C2×C42—56no—
497C2×C42—53no—
498C2×C42—53no—
499C2×C42—53no—
500C2×C42—53no—
501C2×C42—524no—
502C2×C42C22×D513yes—
503C22×C5—22no—
504C22×C5—22no—
505C22×C5—28no—
506C22×C5—22no—
507C22×C5—22no—
508C22×C5—22no—
509C22×C5—44no—
510C22×C5C22×#4112yes—
511C22×C5C2×2−1+414yes—
512C22×C5C2×2−1+412yes—
513C22×C5#58512yes—
514C22×C5C2611yescharacteristic
515C2×D5—26no—
516C2×D5—26no—
517C2×D5—26no—
518C2×D5—412no—
519C4×C5—26no—
520C4×C5—26no—
521C4×C5—22no—
522C4×C5—26no—
523C4×C5C22×#41112yes—
524Dic5—22no—
525Dic5—22no—
526Dic5—22no—
527Dic5—26no—
528Dic5—22no—
529Dic5—26no—
530Dic5—26no—
531C24—53no—
532C24C23×D511yescharacteristic
533C24C23×D511yescharacteristic
534#41—1032no—
535C2×Q8—232no—
536C2×Q8—232no—
537C2×Q8—212no—
538C2×Q8—212no—
539C2×Q8—512no—
540C2×Q8—206no—
541C2×Q8#71118yes—
542C2×Q8C23×D5112yes—
543C2×Q8C23×D5112yes—
544C2×Q8C23×D514yes—
545C2×D4—24no—
546C2×D4—512no—
547C2×D4—512no—
548C2×D4—512no—
549C2×D4—1012no—
550C2×D4—1012no—
551C2×D4—206no—
552C2×D4C23×D514yes—
553C22×C4—212no—
554C22×C4—212no—
555C22×C4—54no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—53no—
559C22×C4—51no—
560C22×C4—53no—
561C22×C4—53no—
562C22×C4—51no—
563C22×C4—512no—
564C22×C4—512no—
565C22×C4—524no—
566C22×C4—104no—
567C22×C4—1012no—
568C22×C4—2012no—
569C22×C4—206no—
570C22×C4C23×D5112yes—
571C22×C4C23×D5112yes—
572C22×C4C23×D513yes—
573C22×C4C23×D513yes—
574C22×C4C23×D511yescharacteristic
575C22×C4C23×D513yes—
576C22×C4C23×D513yes—
577C4⋊C4—512no—
578C4⋊C4—512no—
579C4⋊C4—512no—
580C4⋊C4—524no—
581C4⋊C4—54no—
582C4⋊C4—512no—
583C4⋊C4—512no—
584C4⋊C4—512no—
585C4⋊C4—512no—
586C4⋊C4—512no—
587C4⋊C4—512no—
588C4⋊C4—524no—
589C4⋊C4—54no—
590C4⋊C4—512no—
591C4⋊C4C23×D5112yes—
592C4⋊C4C23×D5124yes—
593C4⋊C4C23×D5112yes—
594C22⋊C4—512no—
595C22⋊C4—54no—
596C22⋊C4—54no—
597C22⋊C4—54no—
598C22⋊C4—512no—
599C22⋊C4—512no—
600C22⋊C4—512no—
601C22⋊C4—524no—
602C22⋊C4—524no—
603C22⋊C4—512no—
604C22⋊C4C23×D5112yes—
605C22⋊C4C23×D5112yes—
606C42—512no—
607C42—512no—
608C42—512no—
609C42—512no—
610C42—524no—
611C42—512no—
612C42C23×D5112yes—
613C2×C5—24no—
614C2×C5—42no—
615C2×C5#351614yescomplemented
616C2×C5C23×#4111yescharacteristic
617C2×C5C22×2−1+411yescharacteristic
618C2×C5C2×#58511yescharacteristic
619D5—46no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—56no—
626C23—106no—
627C23—106no—
628C23—106no—
629C23#414714yes—
630C23C24×D512yes—
631C23C24×D512yes—
632C23C24×D511yescharacteristic
633Q8—224no—
634Q8—224no—
635Q8—2012no—
636Q8C2×#711116yes—
637D4—28no—
638D4—1024no—
639D4—1024no—
640D4—2012no—
641C2×C4—26no—
642C2×C4—26no—
643C2×C4—22no—
644C2×C4—26no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—52no—
648C2×C4—52no—
649C2×C4—56no—
650C2×C4—52no—
651C2×C4—56no—
652C2×C4—56no—
653C2×C4—52no—
654C2×C4—102no—
655C2×C4—108no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—106no—
659C2×C4—106no—
660C2×C4—106no—
661C2×C4—102no—
662C2×C4—1024no—
663C2×C4—2024no—
664C2×C4—2012no—
665C2×C4C2×#711112yes—
666C2×C4C24×D516yes—
667C2×C4C24×D516yes—
668C2×C4C24×D512yes—
669C2×C4C24×D516yes—
670C2×C4C24×D516yes—
671C5C2×#351611yescharacteristic, complemented, Sylow
672C22—28no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—44no—
679C22—106no—
680C22—106no—
681C22—106no—
682C22—2012no—
683C22C22×#71112yes—
684C22C2×#414714yes—
685C22C2×#414712yes—
686C22#6628712yes—
687C22C25×D511yescharacteristic
688C4—26no—
689C4—26no—
690C4—22no—
691C4—26no—
692C4—102no—
693C4—102no—
694C4—102no—
695C4—106no—
696C4—106no—
697C4—106no—
698C4—102no—
699C4C22×#711112yes—
700C2—24no—
701C2—42no—
702C2—206no—
703C2#1061865014yesdirect product factor
704C2C23×#71111yescharacteristic
705C2C22×#414711yescharacteristic
706C2C2×#6628711yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×D4×Q8C2
socleC23×C5C25
hypercenterC2×D4×Q8D5
hypocenterC5C2×#3516
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×D4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C5×D4×Q8C2semidirect
2. C2×#66151C2semidirect
3. C2×#66151C2semidirect
4. C2×#66146C2semidirect
5. C22×Q8×Dic5C2semidirect
6. #10618650C2direct (N × H)
7. C2×#66065C2semidirect
8. C2×#66066C2semidirect
9. C2×#65973C2semidirect
10. C2×#65969C2semidirect
11. C2×#65977C2semidirect
12. C2×#65958C2semidirect
13. C2×#65903C2semidirect
14. C2×#65908C2semidirect
15. C2×#65899C2semidirect
16. C2×#65872C2semidirect
20. C5×D4×Q8C22semidirect
26. #66151C22semidirect
27. #66151C22semidirect
32. #66146C22semidirect
40. C2×Q8×Dic5C22semidirect
51. #66066C22semidirect
52. #66065C22semidirect
53. #65977C22semidirect
54. #65973C22semidirect
55. #65969C22semidirect
56. #65958C22semidirect
57. #65908C22semidirect
58. #65903C22semidirect
59. #65899C22semidirect
60. #65872C22semidirect
192. C2×D4×Q8D5semidirect
292. D4×Q8C2×D5semidirect
615. C2×C5#3516semidirect
671. C5C2×#3516semidirect
703. C2#10618650direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×D4×Q82
C2×#661512
C2×#661462
C22×Q8×Dic52
#106186502
C2×#660652
C2×#660662
C2×#659732
C2×#659692
C2×#659772
C2×#659582
C2×#659032
C2×#659082
C2×#658992
C2×#658722
C2×#35165