Finite Group Databasebeta

← D5×#3497 #13007469

Subgroups — D5×#3497 #13007469

Order 1280.

11210 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×2−1+4C212yesmaximal, complemented
2C5×#3497C211yesmaximal, characteristic, complemented
3#10619192C212yesmaximal, complemented
4#10618685C214yesmaximal, complemented
5D5×#550C214yesmaximal, complemented
6#10618661C214yesmaximal, complemented
7D4×Q8×D5C214yesmaximal, complemented
8#10618638C218yesmaximal, complemented
9D5×#548C218yesmaximal, complemented
10D5×#537C216yesmaximal, complemented
11#10618268C216yesmaximal, complemented
12D5×#532C216yesmaximal, complemented
13#10618123C216yesmaximal, complemented
14#10617719C211yesmaximal, characteristic, complemented
15C2×C4×Q8×D5C211yesmaximal, characteristic, complemented
16C2×C5×2−1+4C2212yescomplemented
17D5×2−1+4—232no—
18C2×#4150C22112yescomplemented
19C2×#4150C2218yescomplemented
20C2×D5×#41C2218yes—
21C2×D5×#41C22112yes—
22C2×#4147C2218yescomplemented
23C2×#4147C2212yescomplemented
24C22×Q8×D5C2218yes—
25C22×Q8×D5C2211yescharacteristic
26C5×#550C2214yescomplemented
27C5×D4×Q8C2214yescomplemented
28C5×#548C2218yescomplemented
29C5×#537C2216yescomplemented
30C5×#532C2216yescomplemented
31C2×C4×C5×Q8C2211yescharacteristic, complemented
32#66168C2218yescomplemented
33#66167C22112yescomplemented
34#66166C22112yescomplemented
35#66165C2218yescomplemented
36#66151C2218yescomplemented
37Q8×C22⋊D5C2218yescomplemented
38C2×Q8×Dic5C2211yescharacteristic, complemented
39#66061C22112yescomplemented
40#66059C2216yescomplemented
41D5×C4⋊Q8C2216yes—
42#66052C22112yescomplemented
43#66050C2216yescomplemented
44D5×#127C2216yes—
45#66011C22124yescomplemented
46D5×#124C22112yes—
47#66002C22112yescomplemented
48#65967C22124yescomplemented
49#65966C22124yescomplemented
50#65963C22124yescomplemented
51D5×C22⋊Q8C22124yes—
52#65942C22124yescomplemented
53D5×#121C22124yes—
54D5×#121C2214yes—
55D5×#121C22112yes—
56#65933C22124yescomplemented
57#65932C22124yescomplemented
58#65931C22124yescomplemented
59#65930C22112yescomplemented
60#65930C22112yescomplemented
61#65911C2214yescomplemented
62#65910C2218yescomplemented
63Q8×D20C2214yescomplemented
64C4×Q8×D5C2214yes—
65C4×Q8×D5C2214yes—
66C4×Q8×D5C2214yescomplemented
67C4×Q8×D5C2214yescomplemented
68#65887C22112yescomplemented
69#65886C22124yescomplemented
70#65882C22112yescomplemented
71#65882C22112yescomplemented
72C4×D4×D5C22112yes—
73C4×D4×D5C22112yes—
74D4×Dic10C22112yescomplemented
75#65844C2216yescomplemented
76C2×D5×C4⋊C4C2213yes—
77C2×#4033C2213yescomplemented
78#65811C2216yescomplemented
79C2×C42×D5C2213yes—
80C2×C4×Dic10C2213yescomplemented
81C2×#3497—51nomaximal, Sylow
82C5×2−1+4—216no—
83C2×C5×#41C2318yes—
84C2×C5×#41C23112yes—
85C22×C5×Q8C2318yes—
86C22×C5×Q8C2311yescharacteristic
87#4150—264no—
88#4150—296no—
89D5×#41—264no—
90D5×#41—296no—
91#4147—216no—
92#4147—264no—
93C2×#713C23112yes—
94C2×#713C2318yes—
95C2×Q8×D5—264no—
96C2×Q8×D5D4116yescomplemented
97C2×Q8×D5C23112yes—
98C2×Q8×D5C23124yes—
99C2×Q8×D5C2318yes—
100C2×Q8×D5C2314yes—
101C2×Q8×D5C2314yes—
102C2×#711C23112yes—
103C2×#711C23124yes—
104C2×#711C23124yes—
105C2×D4×D5C2314yes—
106C2×D4×D5C23112yes—
107C2×D4×D5C2318yes—
108C2×D4×D5C23112yes—
109C2×#709C23112yes—
110C2×#709C23124yes—
111C2×#709C23124yes—
112C22×C4×D5C2311yescharacteristic
113C22×C4×D5C23124yes—
114C22×C4×D5C2313yes—
115C22×C4×D5C2313yes—
116C22×Dic10C23124yes—
117C22×Dic10C2313yes—
118C5×C4⋊Q8C2316yes—
119C5×#127C2316yes—
120C5×#124C23112yes—
121C5×C22⋊Q8C23124yes—
122C5×#121C2314yes—
123C5×#121C23112yes—
124C5×#121C23124yes—
125C4×C5×Q8C2314yes—
126C4×C5×Q8C2314yes—
127C4×C5×D4C23112yes—
128C4×C5×D4C23112yes—
129C2×C5×C4⋊C4C2313yes—
130C2×C42×C5C2313yes—
131#4093C23112yes—
132#4092C23124yes—
133Q8×Dic5C2314yes—
134Q8×Dic5C2314yes—
135#4090C23112yes—
136#4086C23112yes—
137#4086C23112yes—
138#4086C23112yes—
139#4085C23148yes—
140#4085C2318yes—
141#4085C23124yes—
142#4084C2314yes—
143#4084C23112yes—
144#4084C23124yes—
145#4082C23112yes—
146D4×Dic5C23112yes—
147D4×Dic5C23112yes—
148#4076C2314yes—
149#4076C23112yes—
150#4076C23124yes—
151C4×C22⋊D5C23124yes—
152C4×C22⋊D5C23124yes—
153C2×C4⋊Dic5C2313yes—
154#4070C23124yes—
155C2×#683C2316yes—
156C2×C4×Dic5C2313yes—
157C2×C4×Dic5C2313yes—
158C2×C4×Dic5C2313yes—
159#4043C23124yes—
160#4042C23148yes—
161#4041C2314yes—
162#4041C23112yes—
163#4041C23124yes—
164#4039C23112yes—
165#4039C23112yes—
166D5×C4⋊C4C2314yes—
167D5×C4⋊C4C23112yes—
168D5×C4⋊C4C23112yes—
169D5×C4⋊C4C23112yes—
170#4034C23112yes—
171#4034C23112yes—
172#4033C23112yes—
173#4033C23112yes—
174#4031C23124yes—
175#4031C23124yes—
176#4030C2318yes—
177#4030C23124yes—
178#4030C23148yes—
179#4027C23124yes—
180#4027C23124yes—
181D5×C22⋊C4C2318yes—
182D5×C22⋊C4C23124yes—
183#4024C23148yes—
184#4021C23112yes—
185#4020C2316yes—
186C4×D20C23112yes—
187C4×D20C23112yes—
188C42×D5C2316yes—
189C42×D5C2316yes—
190C42×D5C2316yes—
191C42×D5C2316yes—
192#4015C2316yes—
193C4×Dic10C23112yes—
194C4×Dic10C23112yes—
195C22×2−1+4—52no—
196#3497—52no—
197#3497—54no—
198#3497—54no—
199#3497—58no—
200#3497—56no—
201#3497—56no—
202#3497—51no—
203#3497D511yescharacteristic, direct product factor
204C2×#550—54no—
205C2×D4×Q8—54no—
206C2×#548—58no—
207C2×#537—56no—
208C2×#532—56no—
209C22×C4×Q8—51no—
210C23×D5C2418yes—
211C23×D5C2411yescharacteristic
212C5×#41—232no—
213C5×#41—248no—
214C2×C5×Q8—232no—
215C2×C5×Q8C2×D418yescomplemented
216C2×C5×Q8C24112yes—
217C2×C5×Q8C2414yes—
218C2×C5×D4C2414yes—
219C2×C5×D4C2418yes—
220C2×C5×D4C24112yes—
221C2×C5×D4C24112yes—
222C22×C4×C5C2411yescharacteristic
223C22×C4×C5C24124yes—
224C22×C4×C5C2413yes—
225C22×C4×C5C2413yes—
226C2×C22⋊D5C2418yes—
227C2×C22⋊D5C24124yes—
228C2×C22⋊D5C2418yes—
229C2×C22⋊D5C2418yes—
230C2×C22⋊D5C24124yes—
231C22×Dic5C24124yes—
232C22×Dic5C2411yescharacteristic
233C22×Dic5C2413yes—
234C22×Dic5C2413yes—
235#713—232no—
236#713—248no—
237Q8×D5—232no—
238Q8×D5—248no—
239Q8×D5—296no—
240Q8×D5C2×D4132yes—
241Q8×D5C2×D4132yescomplemented
242#711—296no—
243#711—248no—
244#711—296no—
245D4×D5—232no—
246D4×D5—248no—
247D4×D5—216no—
248D4×D5—424no—
249#709—248no—
250#709—296no—
251#709—296no—
252C2×D20C24112yes—
253C2×D20C2418yes—
254C2×D20C2414yes—
255C2×D20C24112yes—
256C2×C4×D5—296no—
257C2×C4×D5—24no—
258C2×C4×D5—46no—
259C2×C4×D5C2×D4124yes—
260C2×C4×D5C2418yes—
261C2×C4×D5C24124yes—
262C2×C4×D5C24124yes—
263C2×C4×D5C2416yes—
264C2×C4×D5C2411yescharacteristic
265C2×C4×D5C2411yescharacteristic
266C2×C4×D5C2411yescharacteristic
267C2×C4×D5C2416yes—
268C2×C4×D5C2416yes—
269C2×C4×D5C2416yes—
270C2×C4×D5C2411yescharacteristic
271C2×Dic10—296no—
272C2×Dic10C2×D4124yescomplemented
273C2×Dic10C24112yes—
274C2×Dic10C24124yes—
275C2×Dic10C24112yes—
276C5×C4⋊C4C24112yes—
277C5×C4⋊C4C2414yes—
278C5×C4⋊C4C24112yes—
279C5×C22⋊C4C2418yes—
280C5×C22⋊C4C24124yes—
281C42×C5C2416yes—
282C42×C5C2416yes—
283C22⋊Dic5C24124yes—
284C22⋊Dic5C2418yes—
285#685C2418yes—
286#685C24124yes—
287#685C24124yes—
288#685C2418yes—
289C4⋊Dic5C24112yes—
290C4⋊Dic5C2414yes—
291C4⋊Dic5C24112yes—
292#683C24124yes—
293#683C24124yes—
294#683C2418yes—
295C4×Dic5C2416yes—
296C4×Dic5C2416yes—
297C4×Dic5C2416yes—
298C4×Dic5C2416yes—
299C4×Dic5C2416yes—
300C4×Dic5C2416yes—
301C2×2−1+4—58no—
302C2×2−1+4—512no—
303C2×2−1+4—58no—
304C2×2−1+4—52no—
305C2×2−1+4—1032no—
306C2×2−1+4C2×D512yescomplemented
307C22×#41—512no—
308C22×#41—58no—
309C23×Q8—51no—
310C23×Q8—58no—
311#550—58no—
312#550—512no—
313#550—524no—
314#550—54no—
315#550—512no—
316#550C2×D514yescomplemented
317D4×Q8—58no—
318D4×Q8—512no—
319D4×Q8—524no—
320D4×Q8—54no—
321D4×Q8—512no—
322D4×Q8C2×D514yescomplemented
323#548—58no—
324#548—58no—
325#548—524no—
326#548—524no—
327#548—524no—
328#548—58no—
329#548—524no—
330#548C2×D518yescomplemented
331#537—512no—
332#537—524no—
333#537—524no—
334#537—524no—
335#537—56no—
336#537C2×D516yescomplemented
337#532—512no—
338#532—56no—
339#532—56no—
340#532—512no—
341#532—512no—
342#532—512no—
343#532—512no—
344#532—512no—
345#532—56no—
346#532C2×D516yescomplemented
347C2×C4⋊Q8—56no—
348C2×#127—56no—
349C2×#124—512no—
350C2×C22⋊Q8—524no—
351C2×#121—54no—
352C2×#121—512no—
353C2×#121—524no—
354C2×C4×Q8—51no—
355C2×C4×Q8—54no—
356C2×C4×Q8—54no—
357C2×C4×Q8—54no—
358C2×C4×Q8—54no—
359C2×C4×Q8—53no—
360C2×C4×Q8—53no—
361C2×C4×Q8C2×D511yescharacteristic, complemented
362C2×C4×D4—512no—
363C2×C4×D4—512no—
364C22×C4⋊C4—53no—
365C22×C42—53no—
366C23×C5C2518yes—
367C23×C5C2511yescharacteristic
368C22×D5—22no—
369C22×D5—22no—
370C22×D5—216no—
371C22×D5—216no—
372C22×D5—216no—
373C22×D5C22×D414yes—
374C22×D5C2518yes—
375C22×D5C2511yescharacteristic
376C22×D5C2511yescharacteristic
377C5×Q8—224no—
378C5×Q8C22×D4116yes—
379C5×D4—216no—
380C5×D4—224no—
381C5×D4—28no—
382C5×D4—412no—
383C2×C4×C5—248no—
384C2×C4×C5—22no—
385C2×C4×C5—43no—
386C2×C4×C5C22×D4112yes—
387C2×C4×C5C2511yescharacteristic
388C2×C4×C5C2516yes—
389C2×C4×C5C2518yes—
390C2×C4×C5C2516yes—
391C2×C4×C5C2511yescharacteristic
392C22⋊D5—216no—
393C22⋊D5—216no—
394C22⋊D5—248no—
395C22⋊D5—216no—
396C22⋊D5—424no—
397C2×Dic5—248no—
398C2×Dic5—22no—
399C2×Dic5—43no—
400C2×Dic5C22×D4112yes—
401C2×Dic5C2511yescharacteristic
402C2×Dic5C2516yes—
403C2×Dic5C2518yes—
404C2×Dic5C2516yes—
405C2×Dic5C2511yescharacteristic
406D20—216no—
407D20—224no—
408D20—28no—
409D20—412no—
410C4×D5—216no—
411C4×D5—22no—
412C4×D5—212no—
413C4×D5—248no—
414C4×D5—22no—
415C4×D5—248no—
416C4×D5—22no—
417C4×D5—46no—
418C4×D5C22×D4124yes—
419C4×D5C22×D4124yes—
420C4×D52−1+414yescomplemented
421Dic10—224no—
422Dic10—248no—
423Dic10C22×D4148yes—
4242−1+4—216no—
4252−1+4—1064no—
4262−1+4—1064no—
4272−1+4—1096no—
4282−1+4—1016no—
429C2×#41—512no—
430C2×#41—58no—
431C2×#41—524no—
432C2×#41—512no—
433C2×#41—524no—
434C2×#41—524no—
435C2×#41—512no—
436C2×#41—524no—
437C2×#41—1096no—
438C2×#41—1064no—
439C2×#41C22×D5112yes—
440C2×#41C22×D518yes—
441C22×Q8—516no—
442C22×Q8—54no—
443C22×Q8—54no—
444C22×Q8—512no—
445C22×Q8—524no—
446C22×Q8—58no—
447C22×Q8—53no—
448C22×Q8—524no—
449C22×Q8—1064no—
450C22×Q8C22×D518yes—
451C22×Q8C22×D511yescharacteristic
452C22×D4—54no—
453C22×D4—58no—
454C22×D4—512no—
455C22×D4—512no—
456C23×C4—53no—
457C23×C4—524no—
458C23×C4—51no—
459C23×C4—53no—
460C4⋊Q8—512no—
461C4⋊Q8—512no—
462C4⋊Q8—512no—
463C4⋊Q8—56no—
464C4⋊Q8C22×D516yes—
465#127—512no—
466#127—512no—
467#127—512no—
468#127—56no—
469#127C22×D516yes—
470#124—512no—
471#124—512no—
472#124—524no—
473#124—524no—
474#124—512no—
475#124C22×D5112yes—
476C22⋊Q8—524no—
477C22⋊Q8—524no—
478C22⋊Q8—548no—
479C22⋊Q8—524no—
480C22⋊Q8—548no—
481C22⋊Q8C22×D5124yes—
482#121—54no—
483#121—58no—
484#121—512no—
485#121—524no—
486#121—524no—
487#121—548no—
488#121—54no—
489#121—512no—
490#121—524no—
491#121—54no—
492#121—512no—
493#121—524no—
494#121—58no—
495#121—524no—
496#121—548no—
497#121C22×D514yes—
498#121C22×D5112yes—
499#121C22×D5124yes—
500C4×Q8—54no—
501C4×Q8—54no—
502C4×Q8—512no—
503C4×Q8—512no—
504C4×Q8—512no—
505C4×Q8—512no—
506C4×Q8C22×D514yes—
507C4×Q8C22×D514yes—
508C4×D4—512no—
509C4×D4—512no—
510C4×D4—524no—
511C4×D4—524no—
512C4×D4—512no—
513C4×D4—512no—
514C4×D4—524no—
515C4×D4—524no—
516C4×D4—512no—
517C4×D4—512no—
518C4×D4C22×D5112yes—
519C4×D4C22×D5112yes—
520C2×C4⋊C4—56no—
521C2×C4⋊C4—53no—
522C2×C4⋊C4—512no—
523C2×C4⋊C4—512no—
524C2×C4⋊C4—54no—
525C2×C4⋊C4—512no—
526C2×C4⋊C4C22×D513yes—
527C2×C22⋊C4—58no—
528C2×C22⋊C4—524no—
529C2×C42—53no—
530C2×C42—53no—
531C2×C42—53no—
532C2×C42—56no—
533C2×C42—56no—
534C2×C42—56no—
535C2×C42—56no—
536C2×C42C22×D513yes—
537C22×C5—21no—
538C22×C5—21no—
539C22×C5—28no—
540C22×C5—28no—
541C22×C5—28no—
542C22×C5C23×D412yes—
543C22×C5C2611yescharacteristic
544C2×D5—21no—
545C2×D5—21no—
546C2×D5—28no—
547C2×D5—28no—
548C2×D5—28no—
549C2×D5—28no—
550C2×D5—432no—
551C2×D5C23×D412yes—
552C2×D5C23×D412yes—
553C2×D5C2×2−1+412yes—
554C2×D5#58512yes—
555C4×C5—28no—
556C4×C5—21no—
557C4×C5—26no—
558C4×C5C23×D4112yes—
559C4×C5C2×2−1+412yescomplemented
560Dic5—28no—
561Dic5—21no—
562Dic5—26no—
563Dic5C23×D4112yes—
564Dic5C2×2−1+412yescomplemented
565C24—51no—
566C24—58no—
567#41—232no—
568#41—248no—
569#41—1096no—
570#41—1096no—
571#41—1096no—
572#41—1048no—
573#41—1048no—
574#41—1096no—
575#41—1032no—
576#41—1048no—
577C2×Q8—232no—
578C2×Q8—532no—
579C2×Q8—532no—
580C2×Q8—524no—
581C2×Q8—512no—
582C2×Q8—524no—
583C2×Q8—512no—
584C2×Q8—1096no—
585C2×Q8—1048no—
586C2×Q8—1096no—
587C2×Q8—1032no—
588C2×Q8D4×D518yescomplemented
589C2×Q8C23×D5112yes—
590C2×Q8C23×D514yes—
591C2×D4—58no—
592C2×D4—58no—
593C2×D4—58no—
594C2×D4—524no—
595C2×D4—524no—
596C2×D4—54no—
597C2×D4—58no—
598C2×D4—512no—
599C2×D4—512no—
600C2×D4—1048no—
601C2×D4—1016no—
602C2×D4—1032no—
603C2×D4—2024no—
604C2×D4C23×D514yes—
605C2×D4C23×D518yes—
606C2×D4C23×D5112yes—
607C2×D4C23×D5112yes—
608C22×C4—53no—
609C22×C4—524no—
610C22×C4—51no—
611C22×C4—56no—
612C22×C4—56no—
613C22×C4—51no—
614C22×C4—524no—
615C22×C4—53no—
616C22×C4—51no—
617C22×C4—51no—
618C22×C4—51no—
619C22×C4—56no—
620C22×C4—58no—
621C22×C4—524no—
622C22×C4—524no—
623C22×C4—56no—
624C22×C4—1096no—
625C22×C4—104no—
626C22×C4—206no—
627C22×C4C23×D511yescharacteristic
628C22×C4C23×D5124yes—
629C22×C4C23×D513yes—
630C22×C4C23×D513yes—
631C4⋊C4—524no—
632C4⋊C4—512no—
633C4⋊C4—58no—
634C4⋊C4—54no—
635C4⋊C4—524no—
636C4⋊C4—512no—
637C4⋊C4C23×D5112yes—
638C4⋊C4C23×D514yes—
639C4⋊C4C23×D5112yes—
640C22⋊C4—58no—
641C22⋊C4—524no—
642C22⋊C4—58no—
643C22⋊C4—58no—
644C22⋊C4—524no—
645C22⋊C4—524no—
646C22⋊C4C23×D518yes—
647C22⋊C4C23×D5124yes—
648C42—56no—
649C42—56no—
650C42—56no—
651C42—56no—
652C42—56no—
653C42—56no—
654C42C23×D516yes—
655C42C23×D516yes—
656C2×C5—22no—
657C2×C5—48no—
658C2×C5C24×D411yescharacteristic
659C2×C5C22×2−1+411yescharacteristic
660C2×C5C2×#58511yescharacteristic
661D5—22no—
662D5—48no—
663D5#349714yesdirect product factor
664C23—51no—
665C23—54no—
666C23—51no—
667C23—58no—
668C23—102no—
669C23—102no—
670C23—1016no—
671C23—1016no—
672C23—1016no—
673C23C24×D518yes—
674C23C24×D511yescharacteristic
675Q8—224no—
676Q8—548no—
677Q8—1048no—
678Q8—1024no—
679Q8C2×D4×D5116yes—
680D4—216no—
681D4—224no—
682D4—28no—
683D4—412no—
684D4—1016no—
685D4—1048no—
686D4—1016no—
687D4—1016no—
688D4—1016no—
689D4—1024no—
690D4—108no—
691D4—2012no—
692D4—2024no—
693C2×C4—248no—
694C2×C4—22no—
695C2×C4—43no—
696C2×C4—512no—
697C2×C4—51no—
698C2×C4—56no—
699C2×C4—524no—
700C2×C4—524no—
701C2×C4—54no—
702C2×C4—51no—
703C2×C4—56no—
704C2×C4—58no—
705C2×C4—1048no—
706C2×C4—102no—
707C2×C4—1016no—
708C2×C4—102no—
709C2×C4—1012no—
710C2×C4—1048no—
711C2×C4—102no—
712C2×C4—1048no—
713C2×C4—102no—
714C2×C4—206no—
715C2×C4—203no—
716C2×C4C2×D4×D5112yes—
717C2×C4C24×D511yescharacteristic
718C2×C4C24×D516yes—
719C2×C4C24×D518yes—
720C2×C4C24×D516yes—
721C2×C4C24×D511yescharacteristic
722C5C2×#349711yescharacteristic, complemented, Sylow
723C22—21no—
724C22—21no—
725C22—28no—
726C22—28no—
727C22—28no—
728C22—52no—
729C22—52no—
730C22—52no—
731C22—52no—
732C22—108no—
733C22—101no—
734C22—101no—
735C22—108no—
736C22—108no—
737C22—108no—
738C22—2032no—
739C22C22×D4×D512yes—
740C22C25×D511yescharacteristic
741C4—28no—
742C4—21no—
743C4—26no—
744C4—512no—
745C4—52no—
746C4—108no—
747C4—101no—
748C4—106no—
749C4C22×D4×D5112yes—
750C4D5×2−1+412yescomplemented
751C2—22no—
752C2—48no—
753C2—54no—
754C2—102no—
755C2—208no—
756C2C23×D4×D511yescharacteristic
757C2C2×D5×2−1+411yescharacteristic
758C2D5×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D5
commutator, socle, cosocleC22×C5C26
FittingC5×#3497C2
hypercenter#3497D5
hypocenterC5C2×#3497
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #3497

Complements

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

NH ≅ G/Ntype
1. C2×D5×2−1+4C2semidirect
2. C5×#3497C2semidirect
3. #10619192C2semidirect
4. #10618685C2semidirect
5. D5×#550C2semidirect
6. #10618661C2semidirect
7. D4×Q8×D5C2semidirect
8. #10618638C2semidirect
9. D5×#548C2semidirect
10. D5×#537C2semidirect
11. #10618268C2semidirect
12. D5×#532C2semidirect
13. #10618123C2semidirect
14. #10617719C2semidirect
15. C2×C4×Q8×D5C2semidirect
16. C2×C5×2−1+4C22semidirect
18. C2×#4150C22semidirect
19. C2×#4150C22semidirect
22. C2×#4147C22semidirect
23. C2×#4147C22semidirect
26. C5×#550C22semidirect
27. C5×D4×Q8C22semidirect
28. C5×#548C22semidirect
29. C5×#537C22semidirect
30. C5×#532C22semidirect
31. C2×C4×C5×Q8C22semidirect
32. #66168C22semidirect
33. #66167C22semidirect
34. #66166C22semidirect
35. #66165C22semidirect
36. #66151C22semidirect
37. Q8×C22⋊D5C22semidirect
38. C2×Q8×Dic5C22semidirect
39. #66061C22semidirect
40. #66059C22semidirect
42. #66052C22semidirect
43. #66050C22semidirect
45. #66011C22semidirect
47. #66002C22semidirect
48. #65967C22semidirect
49. #65966C22semidirect
50. #65963C22semidirect
52. #65942C22semidirect
56. #65933C22semidirect
57. #65932C22semidirect
58. #65931C22semidirect
59. #65930C22semidirect
60. #65930C22semidirect
61. #65911C22semidirect
62. #65910C22semidirect
63. Q8×D20C22semidirect
66. C4×Q8×D5C22semidirect
67. C4×Q8×D5C22semidirect
68. #65887C22semidirect
69. #65886C22semidirect
70. #65882C22semidirect
71. #65882C22semidirect
74. D4×Dic10C22semidirect
75. #65844C22semidirect
77. C2×#4033C22semidirect
78. #65811C22semidirect
80. C2×C4×Dic10C22semidirect
96. C2×Q8×D5D4semidirect
203. #3497D5direct (N × H)
215. C2×C5×Q8C2×D4semidirect
241. Q8×D5C2×D4semidirect
272. C2×Dic10C2×D4semidirect
306. C2×2−1+4C2×D5semidirect
316. #550C2×D5semidirect
322. D4×Q8C2×D5semidirect
330. #548C2×D5semidirect
336. #537C2×D5semidirect
346. #532C2×D5semidirect
361. C2×C4×Q8C2×D5semidirect
420. C4×D52−1+4semidirect
559. C4×C5C2×2−1+4semidirect
564. Dic5C2×2−1+4semidirect
588. C2×Q8D4×D5semidirect
663. D5#3497direct (N × H)
722. C5C2×#3497semidirect
750. C4D5×2−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×D5×2−1+42
C5×#34972
#106191922
#106186852
D5×#5502
#106186612
D4×Q8×D52
#106186382
D5×#5482
D5×#5372
#106182682
D5×#5322
#106181232
#106177192
C2×C4×Q8×D52
C2×#34975