Finite Group Databasebeta

← C2×#10618624 #13007587

Subgroups — C2×#10618624 #13007587

Order 1280.

7226 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#548C211yesmaximal, characteristic, complemented
2C2×#66168C211yesmaximal, characteristic, complemented
3C2×#41×Dic5C211yesmaximal, characteristic, complemented
4C2×#66151C211yesmaximal, characteristic, complemented
5C2×#66146C211yesmaximal, characteristic, complemented
6#10618624C2132yesmaximal, direct product factor
7C2×#66016C213yesmaximal, complemented
8C2×#66015C213yesmaximal, complemented
9C2×#65973C213yesmaximal, complemented
10C2×#65958C213yesmaximal, complemented
11C2×#65948C213yesmaximal, complemented
12C2×#65953C213yesmaximal, complemented
13C2×#65904C211yesmaximal, characteristic, complemented
14C2×#65908C211yesmaximal, characteristic, complemented
15C2×#65897C213yesmaximal, complemented
16C2×#65872C213yesmaximal, complemented
17C22×C5×#41C2211yescharacteristic
18C23×C5×Q8C2211yescharacteristic
19C22×#713C2211yescharacteristic
20C5×#548C22116yescomplemented
21C2×C5×#124C2213yes—
22C2×C5×C22⋊Q8C2213yes—
23C2×C5×#121C2213yes—
24C2×C4×C5×Q8C2211yescharacteristic
25C2×C4×C5×D4C2213yes—
26#66168C22116yescomplemented
27#41×Dic5C22116yescomplemented
28#66151C22116yescomplemented
29C2×#4093C2213yes—
30C2×#4092C2213yes—
31#66146C22116yescomplemented
32C2×Q8×Dic5C2213yes—
33C2×Q8×Dic5C2211yescharacteristic
34C2×Q8×Dic5C2213yes—
35C2×Q8×Dic5C2211yescharacteristic
36C2×Q8×Dic5C2211yescharacteristic
37C2×#4086C2213yes—
38C2×#4085C2213yes—
39C2×#4084C2213yes—
40C2×#4084C2216yes—
41C2×#4081C2213yes—
42C2×D4×Dic5C2213yes—
43C2×D4×Dic5C2213yes—
44C2×#4076C2213yes—
45C2×#4076C2213yes—
46C2×C4×C22⋊D5C2213yes—
47C2×C4×C22⋊D5C2213yes—
48C2×#4072C2213yes—
49C2×#4072C2213yes—
50C2×#4072C2213yes—
51C22×C4×Dic5C2213yes—
52#66016C22148yescomplemented
53#66015C22148yescomplemented
54#65973C22148yescomplemented
55#65958C22148yescomplemented
56#65953C22148yescomplemented
57#65948C22148yescomplemented
58#65908C22116yescomplemented
59#65904C22116yescomplemented
60#65897C22148yescomplemented
61#65872C22148yescomplemented
62C2×#4044C2213yes—
63C2×#4039C2213yes—
64C2×#4038C2216yes—
65C2×D5×C4⋊C4C2213yes—
66C2×#4036C2213yes—
67C2×#4036C2213yes—
68C2×#4035C2213yes—
69C2×#4032C2216yes—
70C2×#4032C2213yes—
71C2×#4031C2213yes—
72C2×#4031C2216yes—
73C2×#4029C2216yes—
74C2×#4027C2216yes—
75C2×#4025C2216yes—
76C2×#4025C2211yescharacteristic
77C2×#4024C2213yes—
78C2×C4×D20C2213yes—
79C2×#4018C2213yes—
80C2×#4015C2213yes—
81C2×C4×Dic10C2213yes—
82C2×#3524—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⋊D5C2316yes—
94C22×C22⋊D5C2313yes—
95C22×C22⋊D5C2313yes—
96C23×Dic5C2313yes—
97C23×Dic5C2313yes—
98C2×#713—28no—
99C2×#713C2318yes—
100C22×D20C2313yes—
101C22×C4×D5C2313yes—
102C22×C4×D5C2316yes—
103C22×Dic10C2313yes—
104C5×#124C23124yes—
105C5×C22⋊Q8C23124yes—
106C5×#121C23124yes—
107C4×C5×Q8C2318yes—
108C4×C5×D4C23124yes—
109C2×C5×C4⋊C4C2313yes—
110C2×C5×C4⋊C4C2313yes—
111C2×C5×C22⋊C4C2313yes—
112C2×C5×C22⋊C4C2316yes—
113C2×C5×C22⋊C4C2311yescharacteristic
114C2×C42×C5C2313yes—
115C2×C22⋊Dic5C2313yes—
116C2×C22⋊Dic5C2316yes—
117C2×C22⋊Dic5C2311yescharacteristic
118C2×C22⋊Dic5C2311yescharacteristic
119C2×C22⋊Dic5C2313yes—
120#4093C23124yes—
121#4092C23124yes—
122Q8×Dic5C2318yes—
123Q8×Dic5C2318yes—
124Q8×Dic5C23124yes—
125Q8×Dic5C23124yes—
126Q8×Dic5C2318yes—
127#4086C23124yes—
128#4085C23124yes—
129#4084C23148yes—
130#4084C23124yes—
131#4081C23124yes—
132D4×Dic5C23124yes—
133D4×Dic5C23124yes—
134#4076C23124yes—
135#4076C23124yes—
136C4×C22⋊D5C23124yes—
137C4×C22⋊D5C23124yes—
138C2×#685C2313yes—
139C2×#685C2313yes—
140C2×#685C2313yes—
141C2×#685C2316yes—
142C2×#685C2313yes—
143#4072C23124yes—
144#4072C23124yes—
145#4072C23124yes—
146C2×C4⋊Dic5C2311yescharacteristic
147C2×C4⋊Dic5C2316yes—
148C2×C4⋊Dic5C2313yes—
149C2×C4⋊Dic5C2313yes—
150C2×C4⋊Dic5C2313yes—
151C2×C4⋊Dic5C2313yes—
152C2×C4⋊Dic5C2313yes—
153C2×#683C2313yes—
154C2×#683C2313yes—
155C2×#683C2311yescharacteristic
156C2×#683C2313yes—
157C2×#683C2313yes—
158C2×#683C2311yescharacteristic
159C2×C4×Dic5C2313yes—
160C2×C4×Dic5C2313yes—
161C2×C4×Dic5C2313yes—
162C2×C4×Dic5C2316yes—
163C2×C4×Dic5C2311yescharacteristic
164C2×C4×Dic5C2313yes—
165C2×C4×Dic5C23124yes—
166#4044C23124yes—
167#4039C23124yes—
168#4038C23148yes—
169D5×C4⋊C4C23124yes—
170#4036C23124yes—
171#4036C23124yes—
172#4035C23124yes—
173#4032C23124yes—
174#4032C23148yes—
175#4031C23124yes—
176#4031C23148yes—
177#4029C23148yes—
178#4027C23148yes—
179#4025C2318yes—
180#4025C23148yes—
181#4024C23124yes—
182C4×D20C23124yes—
183#4018C23124yes—
184#4015C23124yes—
185C4×Dic10C23124yes—
186#3524—532no—
187C2×#559—53no—
188C2×#557—51no—
189C2×#555—53no—
190C2×#553—53no—
191C2×#552—53no—
192C2×#550—51no—
193C2×#548—51no—
194C2×#548D511yescharacteristic, complemented
195C2×#542—53no—
196C2×#540—53no—
197C2×#529—53no—
198C2×#529—53no—
199C2×#520—51no—
200C2×#519—51no—
201C2×C4×#41—51no—
202C24×C5C2411yescharacteristic
203C24×C5C2413yes—
204C23×D5C2413yes—
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—46no—
225C2×C22⋊D5—412no—
226C2×C22⋊D5—46no—
227C2×C22⋊D5C24124yes—
228C2×C22⋊D5C24112yes—
229C2×C22⋊D5C24112yes—
230C22×Dic5—46no—
231C22×Dic5—46no—
232C22×Dic5C2411yescharacteristic
233C22×Dic5C2413yes—
234C22×Dic5C2413yes—
235C22×Dic5C2413yes—
236C22×Dic5C2411yescharacteristic
237C22×Dic5C2411yescharacteristic
238C22×Dic5C2411yescharacteristic
239C22×Dic5C24112yes—
240C22×Dic5C24112yes—
241#713—232no—
242C2×D20—212no—
243C2×D20C24112yes—
244C2×C4×D5—212no—
245C2×C4×D5—412no—
246C2×C4×D5C24112yes—
247C2×C4×D5C24124yes—
248C2×Dic10—46no—
249C2×Dic10C24112yes—
250C5×C4⋊C4C24112yes—
251C5×C4⋊C4C24112yes—
252C5×C22⋊C4C2414yes—
253C5×C22⋊C4C24112yes—
254C5×C22⋊C4C24124yes—
255C42×C5C24112yes—
256C22⋊Dic5C24112yes—
257C22⋊Dic5C24124yes—
258C22⋊Dic5C2414yes—
259C22⋊Dic5C2414yes—
260C22⋊Dic5C24112yes—
261#685C24112yes—
262#685C24112yes—
263#685C24112yes—
264#685C24124yes—
265#685C24112yes—
266C4⋊Dic5C2414yes—
267C4⋊Dic5C24124yes—
268C4⋊Dic5C24112yes—
269C4⋊Dic5C24112yes—
270C4⋊Dic5C24112yes—
271C4⋊Dic5C24112yes—
272C4⋊Dic5C24112yes—
273#683C24112yes—
274#683C24112yes—
275#683C2414yes—
276#683C24112yes—
277#683C24112yes—
278#683C2414yes—
279C4×Dic5C24112yes—
280C4×Dic5C24112yes—
281C4×Dic5C24112yes—
282C4×Dic5C24124yes—
283C4×Dic5C2414yes—
284C4×Dic5C24112yes—
285C22×#41—51no—
286C22×#41C2×D511yescharacteristic
287C23×Q8C2×D511yescharacteristic
288#559—548no—
289#557—516no—
290#555—548no—
291#553—548no—
292#552—548no—
293#550—516no—
294#548—516no—
295#548C2×D5116yescomplemented
296#542—548no—
297#540—548no—
298C2×C4⋊Q8—53no—
299C2×#127—53no—
300#529—548no—
301#529—548no—
302C2×#126—53no—
303C2×#126—51no—
304C2×#126—56no—
305C2×#125—53no—
306C2×#125—53no—
307C2×#125—53no—
308C2×#124—53no—
309C2×#124—53no—
310C2×#124—56no—
311C2×#124C2×D513yes—
312C2×#123—53no—
313C2×#123—56no—
314C2×#123—56no—
315C2×#123—53no—
316C2×C22⋊Q8—53no—
317C2×C22⋊Q8—53no—
318C2×C22⋊Q8C2×D513yes—
319C2×#121—56no—
320C2×#121—53no—
321C2×#121—53no—
322C2×#121—53no—
323C2×#121—53no—
324C2×#121C2×D513yes—
325#520—516no—
326#519—516no—
327C4×#41—516no—
328C2×C4×Q8—51no—
329C2×C4×Q8—51no—
330C2×C4×Q8—53no—
331C2×C4×Q8—51no—
332C2×C4×Q8—53no—
333C2×C4×Q8—53no—
334C2×C4×Q8C2×D511yescharacteristic
335C2×C4×D4—53no—
336C2×C4×D4—53no—
337C2×C4×D4—53no—
338C2×C4×D4—53no—
339C2×C4×D4—53no—
340C2×C4×D4—56no—
341C2×C4×D4—53no—
342C2×C4×D4C2×D513yes—
343C2×#117—53no—
344C2×#117—53no—
345C2×#117—53no—
346C2×#117—56no—
347C2×#117—53no—
348C22×C4⋊C4—53no—
349C22×C42—53no—
350C23×C5—22no—
351C23×C5—26no—
352C23×C5—26no—
353C23×C5—26no—
354C23×C5—22no—
355C23×C5—22no—
356C23×C5C2512yes—
357C23×C5C2516yes—
358C23×C5C2511yescharacteristic
359C22×D5—26no—
360C22×D5—26no—
361C22×D5—26no—
362C22×D5C2516yes—
363C5×Q8—224no—
364C5×Q8C2×#41116yes—
365C5×D4—224no—
366C5×D4—412no—
367C2×C4×C5—22no—
368C2×C4×C5—26no—
369C2×C4×C5—22no—
370C2×C4×C5—26no—
371C2×C4×C5—224no—
372C2×C4×C5—224no—
373C2×C4×C5C2×#41112yes—
374C2×C4×C5C2512yes—
375C2×C4×C5C2516yes—
376C2×C4×C5C2516yes—
377C2×C4×C5C2512yes—
378C2×C4×C5C2516yes—
379C22⋊D5—412no—
380C22⋊D5—424no—
381C22⋊D5—412no—
382C2×Dic5—22no—
383C2×Dic5—26no—
384C2×Dic5—26no—
385C2×Dic5—26no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—412no—
390C2×Dic5—412no—
391C2×Dic5C2512yes—
392C2×Dic5C2512yes—
393C2×Dic5C2516yes—
394C2×Dic5C2512yes—
395C2×Dic5C2516yes—
396C2×Dic5C2516yes—
397C2×Dic5C2512yes—
398D20—224no—
399C4×D5—224no—
400C4×D5—424no—
401Dic10—412no—
402C2×#41—28no—
403C2×#41—58no—
404C2×#41—108no—
405C2×#41C22×D518yes—
406C22×Q8—28no—
407C22×Q8—53no—
408C22×Q8C22×D513yes—
409C22×Q8C22×D518yes—
410C22×Q8C22×D511yescharacteristic
411C22×D4—53no—
412C22×D4—56no—
413C22×D4—53no—
414C22×D4—53no—
415C22×D4C22×D513yes—
416C22×D4C22×D513yes—
417C23×C4—53no—
418C23×C4—53no—
419C23×C4—53no—
420C23×C4—56no—
421C23×C4C22×D513yes—
422C23×C4C22×D513yes—
423C4⋊Q8—524no—
424#127—524no—
425#126—524no—
426#126—58no—
427#126—548no—
428#125—524no—
429#125—524no—
430#125—524no—
431#124—524no—
432#124—524no—
433#124—548no—
434#124C22×D5124yes—
435#123—524no—
436#123—548no—
437#123—524no—
438#123—548no—
439C22⋊Q8—524no—
440C22⋊Q8—524no—
441C22⋊Q8C22×D5124yes—
442#121—524no—
443#121—548no—
444#121—524no—
445#121—524no—
446#121—524no—
447#121C22×D5124yes—
448C4×Q8—58no—
449C4×Q8—58no—
450C4×Q8—524no—
451C4×Q8—58no—
452C4×Q8—524no—
453C4×Q8—524no—
454C4×Q8C22×D518yes—
455C4×D4—524no—
456C4×D4—524no—
457C4×D4—524no—
458C4×D4—524no—
459C4×D4—524no—
460C4×D4—548no—
461C4×D4—524no—
462C4×D4C22×D5124yes—
463#117—524no—
464#117—524no—
465#117—524no—
466#117—548no—
467#117—524no—
468C2×C4⋊C4—53no—
469C2×C4⋊C4—53no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—53no—
472C2×C4⋊C4—53no—
473C2×C4⋊C4—53no—
474C2×C4⋊C4—53no—
475C2×C4⋊C4—56no—
476C2×C4⋊C4—51no—
477C2×C4⋊C4—53no—
478C2×C4⋊C4—53no—
479C2×C4⋊C4—51no—
480C2×C4⋊C4—53no—
481C2×C4⋊C4—524no—
482C2×C4⋊C4C22×D513yes—
483C2×C4⋊C4C22×D513yes—
484C2×C22⋊C4—51no—
485C2×C22⋊C4—53no—
486C2×C22⋊C4—56no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—53no—
489C2×C22⋊C4—53no—
490C2×C22⋊C4—53no—
491C2×C22⋊C4—53no—
492C2×C22⋊C4—56no—
493C2×C22⋊C4—53no—
494C2×C22⋊C4C22×D516yes—
495C2×C22⋊C4C22×D511yescharacteristic
496C2×C22⋊C4C22×D513yes—
497C2×C42—53no—
498C2×C42—53no—
499C2×C42—56no—
500C2×C42—53no—
501C2×C42—53no—
502C2×C42—524no—
503C2×C42—51no—
504C2×C42C22×D513yes—
505C22×C5—22no—
506C22×C5—26no—
507C22×C5—26no—
508C22×C5—26no—
509C22×C5—22no—
510C22×C5—22no—
511C22×C5—44no—
512C22×C5—412no—
513C22×C5C22×#4112yes—
514C22×C5#58512yes—
515C22×C5#58512yes—
516C22×C5C2611yescharacteristic
517C2×D5—26no—
518C2×D5—26no—
519C2×D5—26no—
520C2×D5—412no—
521C4×C5—22no—
522C4×C5—26no—
523C4×C5—22no—
524C4×C5—26no—
525C4×C5C22×#41112yes—
526Dic5—22no—
527Dic5—26no—
528Dic5—26no—
529Dic5—26no—
530Dic5—22no—
531Dic5—22no—
532Dic5—22no—
533C24—53no—
534C24C23×D511yescharacteristic
535C24C23×D513yes—
536#41—232no—
537#41—1032no—
538C2×Q8—232no—
539C2×Q8—212no—
540C2×Q8—512no—
541C2×Q8—206no—
542C2×Q8#71118yes—
543C2×Q8C23×D5112yes—
544C2×Q8C23×D514yes—
545C2×D4—212no—
546C2×D4—46no—
547C2×D4—512no—
548C2×D4—524no—
549C2×D4—512no—
550C2×D4—512no—
551C2×D4—1012no—
552C2×D4—206no—
553C2×D4—206no—
554C2×D4—2012no—
555C2×D4C23×D5112yes—
556C2×D4C23×D5112yes—
557C22×C4—212no—
558C22×C4—212no—
559C22×C4—53no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—53no—
563C22×C4—51no—
564C22×C4—53no—
565C22×C4—51no—
566C22×C4—512no—
567C22×C4—512no—
568C22×C4—512no—
569C22×C4—524no—
570C22×C4—1012no—
571C22×C4—2012no—
572C22×C4—206no—
573C22×C4—206no—
574C22×C4C23×D5112yes—
575C22×C4C23×D5112yes—
576C22×C4C23×D511yescharacteristic
577C22×C4C23×D513yes—
578C22×C4C23×D511yescharacteristic
579C22×C4C23×D513yes—
580C22×C4C23×D513yes—
581C4⋊C4—512no—
582C4⋊C4—512no—
583C4⋊C4—54no—
584C4⋊C4—512no—
585C4⋊C4—512no—
586C4⋊C4—512no—
587C4⋊C4—512no—
588C4⋊C4—524no—
589C4⋊C4—54no—
590C4⋊C4—512no—
591C4⋊C4—512no—
592C4⋊C4—54no—
593C4⋊C4—512no—
594C4⋊C4C23×D5112yes—
595C4⋊C4C23×D5112yes—
596C22⋊C4—54no—
597C22⋊C4—512no—
598C22⋊C4—524no—
599C22⋊C4—54no—
600C22⋊C4—512no—
601C22⋊C4—512no—
602C22⋊C4—512no—
603C22⋊C4—512no—
604C22⋊C4—524no—
605C22⋊C4—512no—
606C22⋊C4C23×D5124yes—
607C22⋊C4C23×D514yes—
608C22⋊C4C23×D5112yes—
609C42—54no—
610C42—512no—
611C42—512no—
612C42—512no—
613C42—524no—
614C42—512no—
615C42C23×D5112yes—
616C2×C5—42no—
617C2×C5—46no—
618C2×C5#352414yescomplemented
619C2×C5C23×#4111yescharacteristic
620C2×C5C2×#58511yescharacteristic
621C2×C5C2×#58511yescharacteristic
622D5—46no—
623C23—22no—
624C23—26no—
625C23—26no—
626C23—22no—
627C23—26no—
628C23—22no—
629C23—56no—
630C23—106no—
631C23—106no—
632C23—106no—
633C23C24×D512yes—
634C23C24×D516yes—
635C23C24×D511yescharacteristic
636Q8—224no—
637Q8—2012no—
638Q8C2×#711116yes—
639D4—224no—
640D4—412no—
641D4—1024no—
642D4—2012no—
643D4—2012no—
644D4—2024no—
645C2×C4—22no—
646C2×C4—26no—
647C2×C4—26no—
648C2×C4—22no—
649C2×C4—224no—
650C2×C4—224no—
651C2×C4—52no—
652C2×C4—56no—
653C2×C4—52no—
654C2×C4—56no—
655C2×C4—52no—
656C2×C4—56no—
657C2×C4—52no—
658C2×C4—102no—
659C2×C4—106no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—106no—
664C2×C4—106no—
665C2×C4—1024no—
666C2×C4—2024no—
667C2×C4—2012no—
668C2×C4—2012no—
669C2×C4C2×#711112yes—
670C2×C4C24×D512yes—
671C2×C4C24×D516yes—
672C2×C4C24×D512yes—
673C2×C4C24×D516yes—
674C2×C4C24×D516yes—
675C5C2×#352411yescharacteristic, complemented, Sylow
676C22—22no—
677C22—26no—
678C22—26no—
679C22—22no—
680C22—26no—
681C22—22no—
682C22—44no—
683C22—412no—
684C22—106no—
685C22—106no—
686C22—106no—
687C22—2012no—
688C22C22×#71112yes—
689C22#6628312yes—
690C22#6628712yes—
691C22C25×D511yescharacteristic
692C4—22no—
693C4—26no—
694C4—26no—
695C4—22no—
696C4—102no—
697C4—106no—
698C4—102no—
699C4—102no—
700C4—102no—
701C4—106no—
702C4—106no—
703C4C22×#711112yes—
704C2—42no—
705C2—46no—
706C2—206no—
707C2#1061862414yesdirect product factor
708C2C23×#71111yescharacteristic
709C2C2×#6628311yescharacteristic
710C2C2×#6628711yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#548C2
socleC23×C5C25
hypercenterC2×#548D5
hypocenterC5C2×#3524
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×#66168C2semidirect
3. C2×#41×Dic5C2semidirect
4. C2×#66151C2semidirect
5. C2×#66146C2semidirect
6. #10618624C2direct (N × H)
7. C2×#66016C2semidirect
8. C2×#66015C2semidirect
9. C2×#65973C2semidirect
10. C2×#65958C2semidirect
11. C2×#65948C2semidirect
12. C2×#65953C2semidirect
13. C2×#65904C2semidirect
14. C2×#65908C2semidirect
15. C2×#65897C2semidirect
16. C2×#65872C2semidirect
20. C5×#548C22semidirect
26. #66168C22semidirect
27. #41×Dic5C22semidirect
28. #66151C22semidirect
31. #66146C22semidirect
52. #66016C22semidirect
53. #66015C22semidirect
54. #65973C22semidirect
55. #65958C22semidirect
56. #65953C22semidirect
57. #65948C22semidirect
58. #65908C22semidirect
59. #65904C22semidirect
60. #65897C22semidirect
61. #65872C22semidirect
194. C2×#548D5semidirect
295. #548C2×D5semidirect
618. C2×C5#3524semidirect
675. C5C2×#3524semidirect
707. C2#10618624direct (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×#661682
C2×#41×Dic52
C2×#661512
C2×#661462
#106186242
C2×#660162
C2×#660152
C2×#659732
C2×#659582
C2×#659482
C2×#659532
C2×#659042
C2×#659082
C2×#658972
C2×#658722
C2×#35245