Finite Group Databasebeta

← #12980132

Subgroups — #12980132

Order 1280.

1726 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10617729C211yesmaximal, characteristic
2#10617704C211yesmaximal, characteristic, complemented
3C4×C5×#137C211yesmaximal, characteristic
4#10615696C212yesmaximal
5#10614238C211yesmaximal, characteristic
6C2×#65310C211yesmaximal, characteristic, complemented
7#10611551C214yesmaximal, complemented
8#10611491C214yesmaximal, complemented
9#10611439C212yesmaximal, complemented
10Q16×Dic10C212yesmaximal, complemented
11#10611365C212yesmaximal, complemented
12#10611363C212yesmaximal, complemented
13#10610937C212yesmaximal, complemented
14#10610681C212yesmaximal, complemented
15#10610603C212yesmaximal
16#10610239C211yesmaximal, characteristic, complemented
17#10610237C211yesmaximal, characteristic, complemented
18C2×C5×#137C2211yescharacteristic
19C4×C5×#41C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21#66161C2212yes—
22#66146C2212yes—
23#65904—21no—
24#65904C2212yes—
25#65904C2212yes—
26#65903—22no—
27#65903C2214yes—
28Q8×Dic10—21no—
29Q8×Dic10C2212yes—
30Q8×Dic10C2212yes—
31#65877—22no—
32#65877C2212yes—
33D4×Dic10—22no—
34D4×Dic10C2212yes—
35#65853—22no—
36#65853C2212yes—
37#65834—22no—
38#65834C2212yes—
39#65804—22no—
40#65804—21no—
41#65804C2211yescharacteristic
42#65804C2211yescharacteristic
43C2×#4015—21no—
44C2×#4015C2211yescharacteristic
45C5×#441C2212yes—
46C5×#440C2212yes—
47C4×C5×Q16C2212yes—
48C4×C5×SD16C2212yes—
49C5×#428C2211yescharacteristic
50C5×#419C2211yescharacteristic
51C5×#417C2211yescharacteristic
52C4×C5×M16C2211yescharacteristic
53#65522C2212yes—
54C2×#3967C2212yes—
55#65473C2214yes—
56Q16×Dic5C2214yes—
57#65453C2214yes—
58SD16×Dic5C2214yes—
59#65411C2212yes—
60#65410C2212yes—
61#65410C2212yes—
62#65408C2212yes—
63#65311C2212yes—
64#65310C2214yes—
65#65310C2212yes—
66#65310C2212yes—
67#65310C2211yescharacteristic
68#65309C2211yescharacteristic
69#65298C2212yes—
70#65297C2211yescharacteristic
71#65296C2211yescharacteristic
72#65287C2212yes—
73C2×#3939C2212yes—
74C2×C4⋊#168C2211yescharacteristic
75#65165C2214yes—
76#65163C2214yes—
77#65147C2214yes—
78#65145C2214yes—
79#65088C2214yes—
80#65088C2214yes—
81#65085C2214yes—
82#65083C2214yes—
83#65083C2214yes—
84#65080C2214yes—
85#65052C2214yes—
86#65048C2214yes—
87#64991C2214yes—
88#64990C2214yes—
89#64971C2212yes—
90#64969C2212yes—
91#64968C2212yes—
92C8×Dic10C2212yes—
93#61384—51nomaximal, Sylow
94C2×C5×#41C2311yescharacteristic
95C22×C5×Q8C2311yescharacteristic
96C22×Dic10—21no—
97C22×Dic10—22no—
98C5×#137Q818yescomplemented
99C2×C5×Q16C2312yes—
100C2×C5×SD16C2312yes—
101C2×C5×M16C2311yescharacteristic
102C2×C5×M16C2311yescharacteristic
103C4×C5×Q8—21no—
104C4×C5×Q8—21no—
105C4×C5×Q8C2311yescharacteristic
106C4×C5×Q8C2312yes—
107C4×C5×Q8C2312yes—
108C4×C5×Q8C2311yescharacteristic
109C4×C5×D4—21no—
110C4×C5×D4—21no—
111C4×C5×D4C2311yescharacteristic
112C4×C5×D4C2311yescharacteristic
113C5×#117—21no—
114C5×#117C2311yescharacteristic
115C2×C5×C4⋊C4—21no—
116C2×C5×C4⋊C4C2311yescharacteristic
117C2×C42×C5—21no—
118C2×C42×C5—21no—
119C2×C42×C5C2311yescharacteristic
120Q8×Dic5—22no—
121Q8×Dic5—22no—
122Q8×Dic5C2314yes—
123Q8×Dic5C2314yes—
124Q8×Dic5C2314yes—
125D4×Dic5—24no—
126D4×Dic5C2314yes—
127#4072—24no—
128#4072—22no—
129#4072C2312yes—
130#4072C2312yes—
131C2×C4⋊Dic5—21no—
132C2×C4⋊Dic5—22no—
133C2×C4⋊Dic5—22no—
134C2×C4⋊Dic5C2312yes—
135#4070—21no—
136#4070—21no—
137#4070—22no—
138#4070—24no—
139#4070—22no—
140#4070D412yes—
141#4070D412yes—
142C22×#168C2312yes—
143#4036—24no—
144#4036—22no—
145#4036—24no—
146#4036—24no—
147#4036C2314yes—
148#4036C2314yes—
149#4034—24no—
150#4034—22no—
151#4034—24no—
152#4034—24no—
153#4034C2314yes—
154#4034C2314yes—
155#4024—24no—
156#4024—24no—
157#4024—24no—
158#4016—22no—
159#4016—24no—
160#4016D412yes—
161#4016C2312yes—
162#4015—22no—
163#4015—22no—
164#4015—21no—
165#4015—21no—
166#4015—22no—
167#4015—22no—
168#4015—22no—
169#4015D411yescharacteristic
170#4015D411yescharacteristic
171#4015C2312yes—
172#4015C2312yes—
173#4015C2311yescharacteristic
174#4015C2311yescharacteristic
175C4×Dic10—22no—
176C4×Dic10—22no—
177C4×Dic10—21no—
178C4×Dic10—21no—
179C4×Dic10—22no—
180C4×Dic10—22no—
181C4×Dic10—24no—
182C4×Dic10C2312yes—
183C4×Dic10C2312yes—
184C5×#107C2312yes—
185C5×#106C2312yes—
186C5×#103C2312yes—
187C5×#103C2312yes—
188C5×#103C2312yes—
189C5×#102C2312yes—
190C5×#97C2312yes—
191C4×C5×C8C2312yes—
192#3967C2312yes—
193#3967C2314yes—
194#3967C2314yes—
195#3967C2312yes—
196#3964C2312yes—
197#3964C2312yes—
198#3950C2314yes—
199#3950C2314yes—
200#3949C2314yes—
201#3949C2314yes—
202#3947C2314yes—
203#3946C2314yes—
204#3946C2314yes—
205C8×Dic5C2314yes—
206#3940C2312yes—
207#3940C2312yes—
208#3939C2312yes—
209#3939C2312yes—
210#3939C2314yes—
211#3939C2314yes—
212C4⋊#168C2311yescharacteristic
213C4⋊#168C2311yescharacteristic
214C4⋊#168C2312yes—
215#3503—51no—
216#3502—51no—
217#3390—54no—
218#3387—52no—
219#3386—54no—
220#3385—52no—
221Q8×Q16—52no—
222#3381—52no—
223#3165—51no—
224#3164—52no—
225#3083—52no—
226#3082—52no—
227#3076—51no—
228C2×#477—51no—
229#2962—51no—
230#2947—52no—
231C4×#137D511yescharacteristic
232C5×#41—22no—
233C5×#41C2×Q814yes—
234C2×C5×Q8—21no—
235C2×C5×Q8—22no—
236C2×C5×Q8C2×Q814yescomplemented
237C2×C5×Q8C2412yes—
238C2×C5×Q8C2411yescharacteristic
239C2×C5×D4—21no—
240C2×C5×D4C2411yescharacteristic
241C22×C4×C5—21no—
242C22×C4×C5—21no—
243C22×C4×C5—21no—
244C22×C4×C5—21no—
245C22×C4×C5—21no—
246C22×C4×C5C2×D411yescharacteristic
247C22×C4×C5C2×D411yescharacteristic
248C22×C4×C5C2411yescharacteristic
249C22×Dic5—22no—
250C22×Dic5—24no—
251C2×Dic10—22no—
252C2×Dic10—21no—
253C2×Dic10—22no—
254C2×Dic10—21no—
255C2×Dic10—24no—
256C2×Dic10—24no—
257C2×Dic10—84no—
258C2×Dic10—82no—
259C2×Dic10C2×D412yes—
260C2×Dic10C2×D412yes—
261C5×Q16C2×Q818yescomplemented
262C5×SD16C2×Q818yescomplemented
263C5×M16—22no—
264C5×M16C2×Q814yescomplemented
265C2×C5×C8C2412yes—
266C2×C5×C8C2412yes—
267C5×C4⋊C4—22no—
268C5×C4⋊C4—22no—
269C5×C4⋊C4—21no—
270C5×C4⋊C4—21no—
271C5×C4⋊C4—21no—
272C5×C4⋊C4C2412yes—
273C5×C4⋊C4C2411yescharacteristic
274C5×C4⋊C4C2411yescharacteristic
275C5×C22⋊C4—21no—
276C5×C22⋊C4—21no—
277C5×C22⋊C4—21no—
278C42×C5—21no—
279C42×C5—21no—
280C42×C5—21no—
281C42×C5—22no—
282C42×C5—22no—
283C42×C5C2×D411yescharacteristic
284C42×C5C2×D411yescharacteristic
285C42×C5C2411yescharacteristic
286C42×C5C2411yescharacteristic
287C22⋊Dic5—22no—
288C22⋊Dic5—24no—
289C22⋊Dic5C2×D414yes—
290C4⋊Dic5—21no—
291C4⋊Dic5—22no—
292C4⋊Dic5—21no—
293C4⋊Dic5—22no—
294C4⋊Dic5—22no—
295C4⋊Dic5—24no—
296C4⋊Dic5—24no—
297C4⋊Dic5—24no—
298C4⋊Dic5—24no—
299C4⋊Dic5—24no—
300C4⋊Dic5C2×D412yes—
301C4⋊Dic5C2×D412yes—
302C4⋊Dic5C2×D412yes—
303C4⋊Dic5C2×D412yes—
304C4⋊Dic5C2414yes—
305C4⋊Dic5C2412yes—
306C4⋊Dic5C2412yes—
307#683—22no—
308#683—22no—
309#683—24no—
310#683—24no—
311#683—24no—
312#683—24no—
313#683C2×D414yes—
314#683C2×D414yes—
315C4×Dic5—22no—
316C4×Dic5—24no—
317C4×Dic5—24no—
318C4×Dic5—24no—
319C4×Dic5C2414yes—
320C2×#168—24no—
321C2×#168C2412yes—
322C2×#168C2412yes—
323C2×#137C2×D511yescharacteristic
324Q82—52no—
325Q82—52no—
326Q82—101no—
327#557—52no—
328#557—54no—
329#557—52no—
330#557—102no—
331#557—101no—
332#554—52no—
333#554—102no—
334D4×Q8—52no—
335D4×Q8—102no—
336#544—52no—
337#544—52no—
338#544—102no—
339#544—102no—
340#533—51no—
341#533—51no—
342#533—102no—
343#533—101no—
344C2×C4⋊Q8—51no—
345C2×C4⋊Q8—101no—
346#520—52no—
347#519—52no—
348C4×#41C2×D511yescharacteristic
349C2×C4×Q8C2×D511yescharacteristic
350#501—54no—
351#501—54no—
352#501—54no—
353#500—54no—
354#500—52no—
355#499—54no—
356#498—52no—
357#479—52no—
358#479—54no—
359#479—54no—
360#479—54no—
361#478—52no—
362#478—54no—
363#477—52no—
364#477—52no—
365#477—54no—
366#477—51no—
367#477—54no—
368#477—54no—
369#476—51no—
370#475—51no—
371#475—54no—
372#474—51no—
373#474—54no—
374#446—54no—
375#446—52no—
376C8×Q8—52no—
377#441—54no—
378#441C2×D512yes—
379#440—54no—
380#440C2×D512yes—
381C4×Q16—54no—
382C4×Q16C2×D512yes—
383C4×SD16—54no—
384C4×SD16C2×D512yes—
385#428—52no—
386#428—52no—
387#428C2×D511yescharacteristic
388#427—52no—
389C2×#107—52no—
390#424—52no—
391C2×C4⋊C8—51no—
392#419C2×D511yescharacteristic
393#417C2×D511yescharacteristic
394#416—52no—
395C2×#103—52no—
396#405—52no—
397C4×M16C2×D511yescharacteristic
398C23×C5—21no—
399C23×C5C22×D411yescharacteristic
400C5×Q8—24no—
401C5×Q8—22no—
402C5×Q8—21no—
403C5×Q8C22×Q814yes—
404C5×Q8C22×Q812yes—
405C5×D4—24no—
406C5×D4—21no—
407C5×D4C22×Q812yes—
408C2×C4×C5—24no—
409C2×C4×C5—21no—
410C2×C4×C5—22no—
411C2×C4×C5—24no—
412C2×C4×C5—22no—
413C2×C4×C5—21no—
414C2×C4×C5—22no—
415C2×C4×C5—21no—
416C2×C4×C5—41no—
417C2×C4×C5—42no—
418C2×C4×C5—42no—
419C2×C4×C5—81no—
420C2×C4×C5C22×D411yescharacteristic
421C2×C4×C5C22×D411yescharacteristic
422C2×C4×C5C22×D411yescharacteristic
423C2×C4×C5C22×D411yescharacteristic
424C2×C4×C5C22×D411yescharacteristic
425C2×C4×C5C22×Q812yes—
426C2×C4×C52−1+412yes—
427C2×C4×C5C2511yescharacteristic
428C2×Dic5—22no—
429C2×Dic5—22no—
430C2×Dic5—24no—
431C2×Dic5—84no—
432C2×Dic5—82no—
433C2×Dic5C22×D414yes—
434C2×Dic5C22×D414yes—
435Dic10—24no—
436Dic10—42no—
437Dic10—44no—
438Dic10—42no—
439Dic10—84no—
440Dic10—84no—
441Dic10—81no—
442Dic10—82no—
443C5×C8—22no—
444C5×C8C22×Q814yes—
445#168—22no—
446#168—22no—
447C2×#41C22×D511yescharacteristic
448C22×Q8—102no—
449C22×Q8—101no—
450C22×Q8C22×D511yescharacteristic
451#137Dic1018yescomplemented
452C2×Q16C22×D512yes—
453C2×SD16C22×D512yes—
454C2×M16C22×D511yescharacteristic
455C2×M16C22×D511yescharacteristic
456C22×C8—52no—
457C4⋊Q8—54no—
458C4⋊Q8—54no—
459C4⋊Q8—51no—
460C4⋊Q8—51no—
461C4⋊Q8—52no—
462C4⋊Q8—52no—
463C4⋊Q8—51no—
464C4⋊Q8—51no—
465C4⋊Q8—102no—
466C4⋊Q8—102no—
467C4⋊Q8—102no—
468C4⋊Q8—102no—
469C4⋊Q8—102no—
470C4⋊Q8—102no—
471C4⋊Q8—104no—
472C4⋊Q8—104no—
473C4⋊Q8—104no—
474C4⋊Q8—101no—
475C4⋊Q8—101no—
476#125—54no—
477#125—54no—
478#125—52no—
479#125—52no—
480#125—102no—
481#125—104no—
482#125—102no—
483#125—104no—
484#125—104no—
485#125—104no—
486C22⋊Q8—52no—
487C22⋊Q8—52no—
488C22⋊Q8—104no—
489C22⋊Q8—104no—
490C22⋊Q8—104no—
491C22⋊Q8—104no—
492C22⋊Q8—102no—
493C22⋊Q8—102no—
494C22⋊Q8—101no—
495C22⋊Q8—101no—
496C4×Q8—21no—
497C4×Q8—21no—
498C4×Q8—52no—
499C4×Q8—52no—
500C4×Q8—54no—
501C4×Q8—54no—
502C4×Q8—54no—
503C4×Q8—102no—
504C4×Q8—104no—
505C4×Q8—102no—
506C4×Q8—102no—
507C4×Q8—102no—
508C4×Q8—102no—
509C4×Q8—102no—
510C4×Q8—101no—
511C4×Q8—101no—
512C4×Q8C22×D512yes—
513C4×Q8C22×D512yes—
514C4×Q8C22×D511yescharacteristic
515C4×Q8C22×D511yescharacteristic
516C4×D4—21no—
517C4×D4—21no—
518C4×D4—54no—
519C4×D4—104no—
520C4×D4C22×D511yescharacteristic
521C4×D4C22×D511yescharacteristic
522#117—21no—
523#117—52no—
524#117—52no—
525#117—104no—
526#117—102no—
527#117C22×D511yescharacteristic
528C2×C4⋊C4—21no—
529C2×C4⋊C4—52no—
530C2×C4⋊C4—102no—
531C2×C4⋊C4—102no—
532C2×C4⋊C4—101no—
533C2×C4⋊C4C22×D511yescharacteristic
534C2×C42—21no—
535C2×C42—21no—
536C2×C42C22×D511yescharacteristic
537#107—54no—
538#107—54no—
539#107—54no—
540#107—54no—
541#107—52no—
542#107—52no—
543#107C22×D512yes—
544#106—54no—
545#106—54no—
546#106—52no—
547#106—52no—
548#106C22×D512yes—
549C4⋊C8—54no—
550C4⋊C8—54no—
551C4⋊C8—51no—
552C4⋊C8—51no—
553C4⋊C8—52no—
554#103—54no—
555#103—54no—
556#103—52no—
557#103—52no—
558#103C22×D512yes—
559#103C22×D512yes—
560#103C22×D512yes—
561#102—52no—
562#102—52no—
563#102C22×D512yes—
564#97—54no—
565#97C22×D512yes—
566C4×C8—54no—
567C4×C8C22×D512yes—
568C22×C5—21no—
569C22×C5—21no—
570C22×C5—22no—
571C22×C5—41no—
572C22×C5—41no—
573C22×C5D4×Q812yes—
574C22×C5C23×D411yescharacteristic
575C4×C5—21no—
576C4×C5—21no—
577C4×C5—22no—
578C4×C5—24no—
579C4×C5—21no—
580C4×C5—41no—
581C4×C5—42no—
582C4×C5—41no—
583C4×C5D4×Q812yes—
584C4×C5#57812yes—
585C4×C5C23×Q811yescharacteristic
586C4×C5C2×2−1+411yescharacteristic
587Dic5—24no—
588Dic5—24no—
589Dic5—44no—
590Dic5—42no—
591Dic5—42no—
592#41—22no—
593#41C2×Dic1014yes—
594C2×Q8—21no—
595C2×Q8—22no—
596C2×Q8—52no—
597C2×Q8—52no—
598C2×Q8—104no—
599C2×Q8—104no—
600C2×Q8—101no—
601C2×Q8—102no—
602C2×Q8—101no—
603C2×Q8—102no—
604C2×Q8—402no—
605C2×Q8—404no—
606C2×Q8C2×Dic1014yescomplemented
607C2×Q8C23×D512yes—
608C2×Q8C23×D511yescharacteristic
609C2×D4—21no—
610C2×D4C23×D511yescharacteristic
611C22×C4—21no—
612C22×C4—21no—
613C22×C4—21no—
614C22×C4—21no—
615C22×C4—21no—
616C22×C4—104no—
617C22×C4—102no—
618C22×C4D4×D511yescharacteristic
619C22×C4D4×D511yescharacteristic
620C22×C4C23×D511yescharacteristic
621Q16C2×Dic1018yescomplemented
622SD16C2×Dic1018yescomplemented
623M16—22no—
624M16C2×Dic1014yescomplemented
625C2×C8—52no—
626C2×C8—52no—
627C2×C8—104no—
628C2×C8C23×D512yes—
629C2×C8C23×D512yes—
630C4⋊C4—22no—
631C4⋊C4—22no—
632C4⋊C4—21no—
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—52no—
636C4⋊C4—52no—
637C4⋊C4—52no—
638C4⋊C4—54no—
639C4⋊C4—52no—
640C4⋊C4—54no—
641C4⋊C4—52no—
642C4⋊C4—52no—
643C4⋊C4—54no—
644C4⋊C4—104no—
645C4⋊C4—104no—
646C4⋊C4—104no—
647C4⋊C4—104no—
648C4⋊C4—104no—
649C4⋊C4—104no—
650C4⋊C4—104no—
651C4⋊C4—104no—
652C4⋊C4—104no—
653C4⋊C4—102no—
654C4⋊C4—102no—
655C4⋊C4—102no—
656C4⋊C4—102no—
657C4⋊C4—101no—
658C4⋊C4—102no—
659C4⋊C4—101no—
660C4⋊C4C23×D512yes—
661C4⋊C4C23×D511yescharacteristic
662C4⋊C4C23×D511yescharacteristic
663C22⋊C4—21no—
664C22⋊C4—21no—
665C22⋊C4—21no—
666C22⋊C4—54no—
667C22⋊C4—104no—
668C22⋊C4—102no—
669C42—21no—
670C42—21no—
671C42—21no—
672C42—22no—
673C42—22no—
674C42—54no—
675C42—104no—
676C42—104no—
677C42—104no—
678C42—102no—
679C42D4×D511yescharacteristic
680C42D4×D511yescharacteristic
681C42C23×D511yescharacteristic
682C42C23×D511yescharacteristic
683C2×C5—22no—
684C2×C5—42no—
685C2×C5C2×D4×Q811yescharacteristic
686C2×C5C2×#57811yescharacteristic
687C2×C5#358511yescharacteristic
688C23—21no—
689C23C2×D4×D511yescharacteristic
690Q8—24no—
691Q8—22no—
692Q8—21no—
693Q8—104no—
694Q8—202no—
695Q8—204no—
696Q8—202no—
697Q8—402no—
698Q8—401no—
699Q8—404no—
700Q8—404no—
701Q8C22×Dic1014yes—
702Q8C22×Dic1012yes—
703D4—24no—
704D4—21no—
705D4C22×Dic1012yes—
706C2×C4—24no—
707C2×C4—21no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—24no—
711C2×C4—21no—
712C2×C4—21no—
713C2×C4—22no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—54no—
718C2×C4—54no—
719C2×C4—81no—
720C2×C4—102no—
721C2×C4—102no—
722C2×C4—104no—
723C2×C4—404no—
724C2×C4—402no—
725C2×C4C22×Dic1012yes—
726C2×C4C2×D4×D511yescharacteristic
727C2×C4C2×D4×D511yescharacteristic
728C2×C4C2×D4×D511yescharacteristic
729C2×C4C2×D4×D511yescharacteristic
730C2×C4C2×D4×D511yescharacteristic
731C2×C4#415012yes—
732C2×C4C24×D511yescharacteristic
733C8—22no—
734C8—102no—
735C8—102no—
736C8C22×Dic1014yes—
737C5#6138411yescharacteristic, complemented, Sylow
738C22—21no—
739C22—21no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22D4×Dic1012yes—
744C22C22×D4×D511yescharacteristic
745C4—22no—
746C4—24no—
747C4—21no—
748C4—21no—
749C4—21no—
750C4—41no—
751C4—41no—
752C4—42no—
753C4—104no—
754C4—104no—
755C4—202no—
756C4—204no—
757C4—202no—
758C4D4×Dic1012yes—
759C4#6611312yes—
760C4C23×Dic1011yescharacteristic
761C4C2×#415011yescharacteristic
762C2—22no—
763C2—42no—
764C2C2×D4×Dic1011yescharacteristic
765C2C2×#6611311yescharacteristic
766C2#1061910111yescharacteristic
subgroupG/H
centerC22C22×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC4×C5×#137C2
socleC22×C5C23×D4
prime radicalC2×C5×#41C23
hypercenterC4×#137D5
hypocenterC5#61384
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ C2×C42 ◁ C4×#137

Complements

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

NH ≅ G/Ntype
2. #10617704C2semidirect
6. C2×#65310C2semidirect
7. #10611551C2semidirect
8. #10611491C2semidirect
9. #10611439C2semidirect
10. Q16×Dic10C2semidirect
11. #10611365C2semidirect
12. #10611363C2semidirect
13. #10610937C2semidirect
14. #10610681C2semidirect
16. #10610239C2semidirect
17. #10610237C2semidirect
98. C5×#137Q8semidirect
236. C2×C5×Q8C2×Q8semidirect
261. C5×Q16C2×Q8semidirect
262. C5×SD16C2×Q8semidirect
264. C5×M16C2×Q8semidirect
451. #137Dic10semidirect
606. C2×Q8C2×Dic10semidirect
621. Q16C2×Dic10semidirect
622. SD16C2×Dic10semidirect
624. M16C2×Dic10semidirect
737. C5#61384semidirect

Maximal subgroups

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

subgroupindex
#106177292
#106177042
C4×C5×#1372
#106156962
#106142382
C2×#653102
#106115512
#106114912
#106114392
Q16×Dic102
#106113652
#106113632
#106109372
#106106812
#106106032
#106102392
#106102372
#613845