Finite Group Databasebeta

← C2×#10618621 #13007561

Subgroups — C2×#10618621 #13007561

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×#548C211yesmaximal, characteristic, complemented
2C2×#66165C211yesmaximal, characteristic, complemented
3C2×#41×Dic5C211yesmaximal, characteristic, complemented
4C2×Q8×C22⋊D5C211yesmaximal, characteristic, complemented
5C2×#66146C211yesmaximal, characteristic, complemented
6#10618621C2132yesmaximal, direct product factor
7C2×#66016C213yesmaximal, complemented
8C2×#66005C213yesmaximal, complemented
9C2×#65975C213yesmaximal, complemented
10C2×#65956C213yesmaximal, complemented
11C2×#65950C213yesmaximal, complemented
12C2×#65937C213yesmaximal, complemented
13C2×#65906C211yesmaximal, characteristic, complemented
14C2×Q8×Dic10C211yesmaximal, characteristic, complemented
15C2×#65876C213yesmaximal, complemented
16C2×#65872C213yesmaximal, complemented
17C22×C5×#41C2211yescharacteristic
18C23×C5×Q8C2211yescharacteristic
19C22×Q8×D5C2211yescharacteristic
20C5×#548C22116yescomplemented
21C2×C5×#124C2213yes—
22C2×C5×C22⋊Q8C2213yes—
23C2×C5×#121C2213yes—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×D4C2213yes—
26#66165C22116yescomplemented
27#41×Dic5C22116yescomplemented
28Q8×C22⋊D5C22116yescomplemented
29C2×#4092C2213yes—
30#66146C22116yescomplemented
31C2×Q8×Dic5C2213yes—
32C2×Q8×Dic5C2213yes—
33C2×Q8×Dic5C2211yescharacteristic
34C2×Q8×Dic5C2211yescharacteristic
35C2×Q8×Dic5C2211yescharacteristic
36C2×#4090C2213yes—
37C2×#4085C2213yes—
38C2×#4084C2213yes—
39C2×#4082C2213yes—
40C2×#4082C2216yes—
41C2×#4081C2213yes—
42C2×D4×Dic5C2213yes—
43C2×D4×Dic5C2213yes—
44C2×C4×C22⋊D5C2213yes—
45C2×C4×C22⋊D5C2213yes—
46C2×#4072C2213yes—
47C2×#4072C2213yes—
48C2×#4072C2213yes—
49C2×#4070C2213yes—
50C2×#4070C2213yes—
51C22×C4×Dic5C2213yes—
52#66016C22148yescomplemented
53#66005C22148yescomplemented
54#65975C22148yescomplemented
55#65956C22148yescomplemented
56#65950C22148yescomplemented
57#65937C22148yescomplemented
58#65906C22116yescomplemented
59Q8×Dic10C22116yescomplemented
60#65876C22148yescomplemented
61#65872C22148yescomplemented
62C2×#4044C2213yes—
63C2×#4038C2213yes—
64C2×#4035C2213yes—
65C2×#4034C2213yes—
66C2×#4034C2213yes—
67C2×#4033C2216yes—
68C2×#4033C2213yes—
69C2×#4032C2213yes—
70C2×#4031C2216yes—
71C2×#4031C2211yescharacteristic
72C2×#4025C2216yes—
73C2×#4025C2213yes—
74C2×#4025C2216yes—
75C2×#4024C2216yes—
76C2×#4024C2213yes—
77C2×#4023C2216yes—
78C2×#4018C2213yes—
79C2×#4015C2213yes—
80C2×C4×Dic10C2213yes—
81C2×C4×Dic10C2213yes—
82C2×#3518—51nomaximal, Sylow
83C2×C5×#41—28no—
84C2×C5×#41C2318yes—
85C22×C5×Q8—28no—
86C22×C5×Q8C2313yes—
87C22×C5×Q8C2318yes—
88C22×C5×Q8C2311yescharacteristic
89C22×C5×D4C2313yes—
90C22×C5×D4C2313yes—
91C23×C4×C5C2313yes—
92C23×C4×C5C2313yes—
93C22×C22⋊D5C2311yescharacteristic
94C22×C22⋊D5C2313yes—
95C23×Dic5C2313yes—
96C23×Dic5C2313yes—
97C2×Q8×D5—28no—
98C2×Q8×D5C2318yes—
99C22×C4×D5C2313yes—
100C22×Dic10C2311yescharacteristic
101C22×Dic10C2313yes—
102C22×Dic10C2316yes—
103C5×#124C23124yes—
104C5×C22⋊Q8C23124yes—
105C5×#121C23124yes—
106C4×C5×Q8C2318yes—
107C4×C5×D4C23124yes—
108C2×C5×C4⋊C4C2313yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C22⋊C4C2316yes—
111C2×C5×C22⋊C4C2313yes—
112C2×C5×C22⋊C4C2311yescharacteristic
113C2×C42×C5C2313yes—
114C2×C22⋊Dic5C2316yes—
115C2×C22⋊Dic5C2313yes—
116C2×C22⋊Dic5C2316yes—
117C2×C22⋊Dic5C2313yes—
118C2×C22⋊Dic5C2313yes—
119C2×C22⋊Dic5C2311yescharacteristic
120#4092C23124yes—
121Q8×Dic5C2318yes—
122Q8×Dic5C2318yes—
123Q8×Dic5C23124yes—
124Q8×Dic5C23124yes—
125Q8×Dic5C2318yes—
126#4090C23124yes—
127#4085C23124yes—
128#4084C23124yes—
129#4082C23148yes—
130#4082C23124yes—
131#4081C23124yes—
132D4×Dic5C23124yes—
133D4×Dic5C23124yes—
134C4×C22⋊D5C23124yes—
135C4×C22⋊D5C23124yes—
136C2×#685C2311yescharacteristic
137C2×#685C2313yes—
138C2×#685C2313yes—
139C2×#685C2311yescharacteristic
140#4072C23124yes—
141#4072C23124yes—
142#4072C23124yes—
143C2×C4⋊Dic5C2313yes—
144C2×C4⋊Dic5C2313yes—
145C2×C4⋊Dic5C2313yes—
146C2×C4⋊Dic5C2313yes—
147C2×C4⋊Dic5C2313yes—
148C2×C4⋊Dic5C2313yes—
149#4070C23124yes—
150#4070C23124yes—
151C2×#683C2313yes—
152C2×#683C2313yes—
153C2×#683C2313yes—
154C2×#683C2313yes—
155C2×#683C2313yes—
156C2×#683C2316yes—
157C2×#683C2313yes—
158C2×C4×Dic5C2316yes—
159C2×C4×Dic5C2313yes—
160C2×C4×Dic5C2313yes—
161C2×C4×Dic5C2313yes—
162C2×C4×Dic5C2316yes—
163C2×C4×Dic5C2313yes—
164C2×C4×Dic5C2311yescharacteristic
165C2×C4×Dic5C23124yes—
166#4044C23124yes—
167#4038C23124yes—
168#4035C23124yes—
169#4034C23124yes—
170#4034C23124yes—
171#4033C23148yes—
172#4033C23124yes—
173#4032C23124yes—
174#4031C2318yes—
175#4031C23148yes—
176#4025C23124yes—
177#4025C23148yes—
178#4025C23148yes—
179#4024C23124yes—
180#4024C23148yes—
181#4023C23148yes—
182#4018C23124yes—
183#4015C23124yes—
184C4×Dic10C23124yes—
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×#548D511yescharacteristic, complemented
195C2×#542—53no—
196C2×#542—53no—
197C2×#533—53no—
198C2×#529—53no—
199C2×#519—51no—
200C2×#519—51no—
201C2×C4×#41—51no—
202C24×C5C2411yescharacteristic
203C24×C5C2413yes—
204C23×D5C2411yescharacteristic
205C5×#41—232no—
206C2×C5×Q8—232no—
207C2×C5×Q8—212no—
208C2×C5×Q8#4118yes—
209C2×C5×Q8C24112yes—
210C2×C5×Q8C2414yes—
211C2×C5×D4—212no—
212C2×C5×D4—46no—
213C2×C5×D4C24112yes—
214C2×C5×D4C24112yes—
215C22×C4×C5—212no—
216C22×C4×C5—212no—
217C22×C4×C5C2411yescharacteristic
218C22×C4×C5C2413yes—
219C22×C4×C5C2413yes—
220C22×C4×C5C2411yescharacteristic
221C22×C4×C5C24112yes—
222C22×C4×C5C24112yes—
223C22×C4×C5C2413yes—
224C2×C22⋊D5—24no—
225C2×C22⋊D5—46no—
226C2×C22⋊D5C2414yes—
227C2×C22⋊D5C24112yes—
228C22×Dic5—212no—
229C22×Dic5—46no—
230C22×Dic5C2413yes—
231C22×Dic5C2411yescharacteristic
232C22×Dic5C2413yes—
233C22×Dic5C2413yes—
234C22×Dic5C2413yes—
235C22×Dic5C2411yescharacteristic
236C22×Dic5C24112yes—
237C22×Dic5C24112yes—
238C22×Dic5C2411yescharacteristic
239Q8×D5—232no—
240C2×C4×D5—212no—
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×C22⋊C4C2414yes—
251C5×C22⋊C4C24112yes—
252C5×C22⋊C4C24124yes—
253C42×C5C24112yes—
254C22⋊Dic5C24124yes—
255C22⋊Dic5C24112yes—
256C22⋊Dic5C24124yes—
257C22⋊Dic5C24112yes—
258C22⋊Dic5C24112yes—
259C22⋊Dic5C2414yes—
260#685C2414yes—
261#685C24112yes—
262#685C24112yes—
263#685C2414yes—
264C4⋊Dic5C24112yes—
265C4⋊Dic5C24112yes—
266C4⋊Dic5C24112yes—
267C4⋊Dic5C24112yes—
268C4⋊Dic5C24112yes—
269C4⋊Dic5C24112yes—
270#683C24112yes—
271#683C24112yes—
272#683C24112yes—
273#683C24112yes—
274#683C24112yes—
275#683C24124yes—
276#683C24112yes—
277C4×Dic5C24124yes—
278C4×Dic5C24112yes—
279C4×Dic5C24112yes—
280C4×Dic5C24112yes—
281C4×Dic5C24124yes—
282C4×Dic5C24112yes—
283C4×Dic5C2414yes—
284C22×#41C2×D511yescharacteristic
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#548C2×D5116yescomplemented
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—53no—
305C2×#126—56no—
306C2×#126—56no—
307C2×#125—53no—
308C2×#124—53no—
309C2×#124—56no—
310C2×#124—51no—
311C2×#124—56no—
312C2×#124C2×D513yes—
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⋊Q8C2×D513yes—
321C2×#121—53no—
322C2×#121—53no—
323C2×#121C2×D513yes—
324#519—516no—
325#519—516no—
326C4×#41—516no—
327C2×C4×Q8—51no—
328C2×C4×Q8—51no—
329C2×C4×Q8—53no—
330C2×C4×Q8—51no—
331C2×C4×Q8—53no—
332C2×C4×Q8—53no—
333C2×C4×Q8—56no—
334C2×C4×Q8—53no—
335C2×C4×Q8—53no—
336C2×C4×Q8C2×D511yescharacteristic
337C2×C4×D4—53no—
338C2×C4×D4—53no—
339C2×C4×D4—53no—
340C2×C4×D4—53no—
341C2×C4×D4C2×D513yes—
342C2×#117—53no—
343C2×#117—53no—
344C2×#117—53no—
345C2×#117—53no—
346C2×#117—56no—
347C2×#117—53no—
348C22×C42—53no—
349C23×C5—22no—
350C23×C5—26no—
351C23×C5—26no—
352C23×C5—22no—
353C23×C5—26no—
354C23×C5—22no—
355C23×C5C2512yes—
356C23×C5C2516yes—
357C23×C5C2511yescharacteristic
358C22×D5—22no—
359C22×D5—22no—
360C22×D5—22no—
361C22×D5C2512yes—
362C5×Q8—224no—
363C5×Q8C2×#41116yes—
364C5×D4—224no—
365C5×D4—412no—
366C2×C4×C5—22no—
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×C5C2512yes—
374C2×C4×C5C2516yes—
375C2×C4×C5C2516yes—
376C2×C4×C5C2512yes—
377C2×C4×C5C2516yes—
378C22⋊D5—28no—
379C22⋊D5—412no—
380C2×Dic5—26no—
381C2×Dic5—22no—
382C2×Dic5—26no—
383C2×Dic5—26no—
384C2×Dic5—26no—
385C2×Dic5—22no—
386C2×Dic5—224no—
387C2×Dic5—412no—
388C2×Dic52−1+414yes—
389C2×Dic5C2516yes—
390C2×Dic5C2512yes—
391C2×Dic5C2512yes—
392C2×Dic5C2516yes—
393C2×Dic5C2516yes—
394C2×Dic5C2516yes—
395C2×Dic5C2512yes—
396C4×D5—224no—
397Dic10—224no—
398Dic10—28no—
399Dic10—424no—
400C2×#41—28no—
401C2×#41C22×D518yes—
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×D4C22×D513yes—
414C22×D4C22×D513yes—
415C23×C4—53no—
416C23×C4—53no—
417C23×C4—53no—
418C23×C4C22×D513yes—
419C23×C4C22×D513yes—
420C4⋊Q8—524no—
421C4⋊Q8—524no—
422C4⋊Q8—524no—
423C4⋊Q8—524no—
424#126—524no—
425#126—524no—
426#126—548no—
427#126—548no—
428#125—524no—
429#124—524no—
430#124—548no—
431#124—58no—
432#124—548no—
433#124C22×D5124yes—
434#123—524no—
435#123—524no—
436C22⋊Q8—524no—
437C22⋊Q8—524no—
438C22⋊Q8—524no—
439C22⋊Q8—524no—
440C22⋊Q8—548no—
441C22⋊Q8C22×D5124yes—
442#121—524no—
443#121—524no—
444#121C22×D5124yes—
445C4×Q8—58no—
446C4×Q8—58no—
447C4×Q8—524no—
448C4×Q8—58no—
449C4×Q8—524no—
450C4×Q8—524no—
451C4×Q8—548no—
452C4×Q8—524no—
453C4×Q8—524no—
454C4×Q8C22×D518yes—
455C4×D4—524no—
456C4×D4—524no—
457C4×D4—524no—
458C4×D4—524no—
459C4×D4C22×D5124yes—
460#117—524no—
461#117—524no—
462#117—524no—
463#117—524no—
464#117—548no—
465#117—524no—
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—53no—
475C2×C4⋊C4—53no—
476C2×C4⋊C4—56no—
477C2×C4⋊C4—53no—
478C2×C4⋊C4—53no—
479C2×C4⋊C4C22×D513yes—
480C2×C4⋊C4C22×D513yes—
481C2×C22⋊C4—53no—
482C2×C22⋊C4—51no—
483C2×C22⋊C4—56no—
484C2×C22⋊C4—56no—
485C2×C22⋊C4—53no—
486C2×C22⋊C4—53no—
487C2×C22⋊C4—53no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—51no—
490C2×C22⋊C4—53no—
491C2×C22⋊C4C22×D516yes—
492C2×C22⋊C4C22×D511yescharacteristic
493C2×C22⋊C4C22×D513yes—
494C2×C42—53no—
495C2×C42—56no—
496C2×C42—56no—
497C2×C42—53no—
498C2×C42—53no—
499C2×C42—53no—
500C2×C42—524no—
501C2×C42—51no—
502C2×C42C22×D513yes—
503C22×C5—22no—
504C22×C5—26no—
505C22×C5—26no—
506C22×C5—22no—
507C22×C5—26no—
508C22×C5—22no—
509C22×C5—44no—
510C22×C5—412no—
511C22×C5C22×#4112yes—
512C22×C5C2×2−1+412yes—
513C22×C5#58512yes—
514C22×C5C2611yescharacteristic
515C2×D5—22no—
516C2×D5—22no—
517C2×D5—22no—
518C2×D5—44no—
519C4×C5—22no—
520C4×C5—26no—
521C4×C5—22no—
522C4×C5—26no—
523C4×C5C22×#41112yes—
524Dic5—26no—
525Dic5—22no—
526Dic5—26no—
527Dic5—26no—
528Dic5—26no—
529Dic5—22no—
530Dic5C2×2−1+414yes—
531C24—51no—
532C24C23×D511yescharacteristic
533C24C23×D513yes—
534#41—232no—
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#71118yes—
545C2×Q8C23×D5112yes—
546C2×Q8C23×D514yes—
547C2×D4—212no—
548C2×D4—46no—
549C2×D4—54no—
550C2×D4—512no—
551C2×D4—104no—
552C2×D4—206no—
553C2×D4C23×D5112yes—
554C2×D4C23×D5112yes—
555C22×C4—212no—
556C22×C4—212no—
557C22×C4—51no—
558C22×C4—512no—
559C22×C4—53no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—53no—
563C22×C4—53no—
564C22×C4—53no—
565C22×C4—512no—
566C22×C4—512no—
567C22×C4—1012no—
568C22×C4—1012no—
569C22×C4—206no—
570C22×C4C23×D5112yes—
571C22×C4C23×D5112yes—
572C22×C4C23×D511yescharacteristic
573C22×C4C23×D513yes—
574C22×C4C23×D513yes—
575C22×C4C23×D511yescharacteristic
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—512no—
586C4⋊C4—512no—
587C4⋊C4—524no—
588C4⋊C4—512no—
589C4⋊C4—512no—
590C4⋊C4C23×D5112yes—
591C4⋊C4C23×D5112yes—
592C22⋊C4—512no—
593C22⋊C4—54no—
594C22⋊C4—524no—
595C22⋊C4—524no—
596C22⋊C4—512no—
597C22⋊C4—512no—
598C22⋊C4—512no—
599C22⋊C4—54no—
600C22⋊C4—54no—
601C22⋊C4—512no—
602C22⋊C4C23×D5124yes—
603C22⋊C4C23×D514yes—
604C22⋊C4C23×D5112yes—
605C42—54no—
606C42—512no—
607C42—512no—
608C42—512no—
609C42—524no—
610C42—524no—
611C42—512no—
612C42C23×D5112yes—
613C2×C5—42no—
614C2×C5—46no—
615C2×C5#351814yescomplemented
616C2×C5C23×#4111yescharacteristic
617C2×C5C22×2−1+411yescharacteristic
618C2×C5C2×#58511yescharacteristic
619D5—42no—
620C23—22no—
621C23—26no—
622C23—26no—
623C23—22no—
624C23—26no—
625C23—22no—
626C23—52no—
627C23—102no—
628C23—102no—
629C23—102no—
630C23C24×D512yes—
631C23C24×D516yes—
632C23C24×D511yescharacteristic
633Q8—224no—
634Q8—108no—
635Q8—1024no—
636Q8—2024no—
637Q8C2×#711116yes—
638D4—224no—
639D4—412no—
640D4—108no—
641D4—2012no—
642C2×C4—22no—
643C2×C4—26no—
644C2×C4—26no—
645C2×C4—22no—
646C2×C4—224no—
647C2×C4—224no—
648C2×C4—54no—
649C2×C4—52no—
650C2×C4—56no—
651C2×C4—52no—
652C2×C4—52no—
653C2×C4—56no—
654C2×C4—56no—
655C2×C4—56no—
656C2×C4—1024no—
657C2×C4—106no—
658C2×C4—102no—
659C2×C4—106no—
660C2×C4—106no—
661C2×C4—106no—
662C2×C4—102no—
663C2×C4—1024no—
664C2×C4—2012no—
665C2×C4C2×#711112yes—
666C2×C4C24×D512yes—
667C2×C4C24×D516yes—
668C2×C4C24×D516yes—
669C2×C4C24×D512yes—
670C2×C4C24×D516yes—
671C5C2×#351811yescharacteristic, complemented, Sylow
672C22—22no—
673C22—26no—
674C22—26no—
675C22—22no—
676C22—26no—
677C22—22no—
678C22—44no—
679C22—412no—
680C22—102no—
681C22—102no—
682C22—102no—
683C22—204no—
684C22C22×#71112yes—
685C22#6628312yes—
686C22D5×2−1+412yes—
687C22C25×D511yescharacteristic
688C4—22no—
689C4—26no—
690C4—26no—
691C4—22no—
692C4—54no—
693C4—106no—
694C4—102no—
695C4—106no—
696C4—106no—
697C4—106no—
698C4—102no—
699C4C22×#711112yes—
700C2—42no—
701C2—46no—
702C2—202no—
703C2#1061862114yesdirect product factor
704C2C23×#71111yescharacteristic
705C2C2×#6628311yescharacteristic
706C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#548C2
socleC23×C5C25
hypercenterC2×#548D5
hypocenterC5C2×#3518
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×C5×#548C2semidirect
2. C2×#66165C2semidirect
3. C2×#41×Dic5C2semidirect
4. C2×Q8×C22⋊D5C2semidirect
5. C2×#66146C2semidirect
6. #10618621C2direct (N × H)
7. C2×#66016C2semidirect
8. C2×#66005C2semidirect
9. C2×#65975C2semidirect
10. C2×#65956C2semidirect
11. C2×#65950C2semidirect
12. C2×#65937C2semidirect
13. C2×#65906C2semidirect
14. C2×Q8×Dic10C2semidirect
15. C2×#65876C2semidirect
16. C2×#65872C2semidirect
20. C5×#548C22semidirect
26. #66165C22semidirect
27. #41×Dic5C22semidirect
28. Q8×C22⋊D5C22semidirect
30. #66146C22semidirect
52. #66016C22semidirect
53. #66005C22semidirect
54. #65975C22semidirect
55. #65956C22semidirect
56. #65950C22semidirect
57. #65937C22semidirect
58. #65906C22semidirect
59. Q8×Dic10C22semidirect
60. #65876C22semidirect
61. #65872C22semidirect
194. C2×#548D5semidirect
294. #548C2×D5semidirect
615. C2×C5#3518semidirect
671. C5C2×#3518semidirect
703. C2#10618621direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5482
C2×#661652
C2×#41×Dic52
C2×Q8×C22⋊D52
C2×#661462
#106186212
C2×#660162
C2×#660052
C2×#659752
C2×#659562
C2×#659502
C2×#659372
C2×#659062
C2×Q8×Dic102
C2×#658762
C2×#658722
C2×#35185