Finite Group Databasebeta

← C2×#11748243 #14425004

Subgroups — C2×#11748243 #14425004

Order 1920.

1688 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92018C211yesmaximal, characteristic, complemented
2C2×C3×#4054C211yesmaximal, characteristic, complemented
3C2×#91463C211yesmaximal, characteristic, complemented
4C2×#91312C211yesmaximal, characteristic, complemented
5C2×#91109C211yesmaximal, characteristic, complemented
6C2×C5×#823C211yesmaximal, characteristic, complemented
7C2×#90976C211yesmaximal, characteristic, complemented
8#11748243C218yesmaximal, direct product factor
9C2×#65036—31nomaximal, Hall
10C2×#6817C2211yescharacteristic
11C22×C5×D12C2211yescharacteristic
12C2×C3×#709C2211yescharacteristic
13C22×C3×D20C2211yescharacteristic, complemented
14C2×D3×C22⋊D5—22no—
15C22×#1201—22no—
16#92018—22no—
17#92018—22no—
18#92018—22no—
19#92018C2214yescomplemented
20C2×#6777—21no—
21C2×D5×D12—21no—
22C2×#6772—21no—
23C2×#6768—21no—
24C2×C3×C5×M16C2211yescharacteristic, complemented
25C2×C4×Dic15C2211yescharacteristic, complemented
26C2×C5×#208C2211yescharacteristic, complemented
27C3×#4054—22no—
28C3×#4054C2214yescomplemented
29C2×C3×D40—21no—
30C2×C3×#677—21no—
31#91463—22no—
32#91463C2214yescomplemented
33#91312—22no—
34#91312C2214yescomplemented
35C2×#6657—21no—
36C2×#6653—21no—
37#91109C2214yescomplemented
38C5×#823C2214yescomplemented
39#90976C2214yescomplemented
40C2×#5198—51nomaximal, Hall
41C2×#4144—31no—
42C2×#4086—31no—
43C2×#4054—31no—
44C2×#4054D311yescharacteristic, complemented
45C2×C5×#100—31no—
46C2×#3957—31no—
47C2×#3957—31no—
48#65036—38no—
49C23×C5×D3D412yes—
50C23×C3×D5—21no—
51C22×D3×D5—22no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×#1220—21no—
54C22×Dic15—21no—
55#6817—21no—
56#6817—21no—
57#6817D412yescomplemented
58#6817C2312yes—
59C2×D60D411yescharacteristic, complemented
60C2×C4×D15—21no—
61C2×Dic30D411yescharacteristic, complemented
62C2×C5×D12—21no—
63C2×C5×D12—21no—
64C2×C5×D12—21no—
65C2×C5×D12—21no—
66C2×C5×D12D412yes—
67C2×C5×D12C2312yes—
68C2×C3×C22⋊D5—21no—
69C3×#709—21no—
70C3×#709—21no—
71C3×#709D412yescomplemented
72C3×#709C2312yes—
73C2×C3×D20—21no—
74C2×C3×D20—21no—
75C2×C3×D20—21no—
76C2×C3×D20—21no—
77C2×C3×D20—21no—
78C2×C3×D20D411yescharacteristic, complemented
79C2×C3×D20C2312yescomplemented
80C2×C3×C4×D5—21no—
81C2×C3×Dic10D411yescharacteristic, complemented
82D3×C22⋊D5—28no—
83D3×C22⋊D5—28no—
84C2×#1203—22no—
85C2×#1201—22no—
86C2×#1201—28no—
87C2×#1201—48no—
88C2×D3×Dic5—22no—
89#6777—24no—
90#6777—24no—
91D5×D12—24no—
92D5×D12—24no—
93#6772—24no—
94#6772—24no—
95#6768—24no—
96#6768—24no—
97C3×C5×M16—21no—
98C3×C5×M16C2312yescomplemented
99C2×C3×C5×C8—21no—
100C4×Dic15—21no—
101C4×Dic15C2312yescomplemented
102C5×#208—21no—
103C5×#208C2312yescomplemented
104C2×C5×C3⋊C8—21no—
105C3×D40—24no—
106C3×#677—24no—
107#6657—24no—
108#6653—24no—
109C2×#1009—51no—
110C2×C3×AGL(1,ℤ/8)—51no—
111C2×#940—51no—
112C2×#932—51no—
113C2×#837—51no—
114#5198—58no—
115C2×#825—51no—
116C2×#823D511yescharacteristic, complemented
117C22×C5×D4—31no—
118C22×C22⋊D5—62no—
119C22×C22⋊D5—62no—
120#4144—34no—
121#4144—62no—
122#4144—62no—
123#4144—62no—
124C2×#711—61no—
125C2×#711—61no—
126C2×D4×D5—61no—
127C2×D4×D5—61no—
128C2×#709—31no—
129C2×#709C2×D311yescharacteristic
130C22×D20C2×D311yescharacteristic, complemented
131C2×C5×M16—31no—
132C2×C5×M16C2×D311yescharacteristic, complemented
133#4086—34no—
134#4086—62no—
135C2×C4×Dic5—31no—
136#4054—22no—
137#4054—34no—
138#4054—62no—
139#4054C2×D314yescomplemented
140C2×D40—21no—
141C2×D40—61no—
142C2×#677—21no—
143C2×#677—61no—
144C5×#100—34no—
145#3957—34no—
146#3957—34no—
147C2×#453—151noSylow
148C23×C3×C5C2×D411yescharacteristic
149C22×D15—21no—
150C22×C5×D3—22no—
151C22×C5×D3—22no—
152C22×C5×D3—44no—
153C22×C5×D3C2×D414yes—
154C22×C3×D5—21no—
155C22×C3×D5—22no—
156C22×C3×D5—44no—
157C22×C3×D5—41no—
158C22×C3×D5—41no—
159C2×D3×D5—28no—
160C2×D3×D5—84no—
161C2×C3×C4×C5C2×D411yescharacteristic
162C2×C3×C4×C5C2×D411yescharacteristic
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2411yescharacteristic
167#1220—22no—
168#1220—22no—
169C2×Dic15—24no—
170C2×Dic15—21no—
171C2×Dic15—22no—
172D60—21no—
173D60C2×D412yescomplemented
174C4×D15—22no—
175C4×D15—22no—
176Dic30—21no—
177Dic30C2×D412yescomplemented
178C5×D12—22no—
179C5×D12—22no—
180C5×D12—22no—
181C5×D12—22no—
182C3×C22⋊D5—22no—
183C3×C22⋊D5—22no—
184C2×C3×Dic5—21no—
185C3×D20—21no—
186C3×D20—22no—
187C3×D20—22no—
188C3×D20—41no—
189C3×D20—41no—
190C3×D20C2×D412yescomplemented
191C3×C4×D5—22no—
192C3×C4×D5—22no—
193C3×Dic10—21no—
194C3×Dic10C2×D412yescomplemented
195#1203—28no—
196#1201—28no—
197#1201—416no—
198D3×Dic5—28no—
199C3×C5×C8—22no—
200C5×C3⋊C8—22no—
201C2×C3×#41—51no—
202C22×C3×D4—51no—
203C22×#67—102no—
204#1009—54no—
205#1009—102no—
206#1009—102no—
207#1009—102no—
208C2×#239—101no—
209C2×D3×D4—101no—
210C2×D3×D4—102no—
211C2×#235—51no—
212C2×#235—101no—
213C22×D12—101no—
214C22×D12C2×D511yescharacteristic
215C3×AGL(1,ℤ/8)—54no—
216C3×AGL(1,ℤ/8)—102no—
217C2×C3×SD16—101no—
218C2×C3×D8—101no—
219C2×C3×M16C2×D511yescharacteristic, complemented
220#940—54no—
221#940—102no—
222C2×#214—101no—
223#932—54no—
224#932—102no—
225C2×#213—101no—
226C2×C4×Dic3—51no—
227C2×#208C2×D511yescharacteristic, complemented
228#837—54no—
229#825—54no—
230#823C2×D514yescomplemented
231C24×C5—32no—
232C23×D5—21no—
233C23×D5—62no—
234C2×C5×D4—32no—
235C2×C5×D4—32no—
236C2×C5×D4—61no—
237C2×C5×D4—61no—
238C2×C5×D4—61no—
239C2×C5×D4—61no—
240C22×C4×C5C22×D311yescharacteristic
241C2×C22⋊D5—21no—
242C2×C22⋊D5—62no—
243C2×C22⋊D5—68no—
244C2×C22⋊D5—68no—
245C2×C22⋊D5—62no—
246C2×C22⋊D5—61no—
247C2×C22⋊D5—68no—
248C2×C22⋊D5—128no—
249C22×Dic5—62no—
250C22×Dic5—61no—
251#711—64no—
252#711—64no—
253#711—64no—
254#711—64no—
255D4×D5—64no—
256D4×D5—64no—
257D4×D5—64no—
258D4×D5—64no—
259#709—21no—
260#709—21no—
261#709—32no—
262#709—32no—
263#709—61no—
264#709—61no—
265#709#6712yescomplemented
266#709C22×D312yes—
267C2×D20—21no—
268C2×D20—21no—
269C2×D20—21no—
270C2×D20—21no—
271C2×D20—21no—
272C2×D20—31no—
273C2×D20#6711yescharacteristic, complemented
274C2×D20C22×D312yescomplemented
275C2×C4×D5—21no—
276C2×C4×D5—61no—
277C2×Dic10—31no—
278C2×Dic10#6711yescharacteristic, complemented
279C5×M16—21no—
280C5×M16—32no—
281C5×M16—61no—
282C5×M16C22×D312yescomplemented
283C2×C5×C8—21no—
284C2×C5×C8—61no—
285C4×Dic5—32no—
286C4×Dic5—61no—
287D40—24no—
288D40—64no—
289#677—24no—
290#677—64no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—51no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—151no—
295#453—158no—
296C2×#104—151no—
297C2×#104—151no—
298C2×#100—31no—
299C22×C3×C5—22no—
300C22×C3×C5#12011yescharacteristic
301C22×C3×C5#12011yescharacteristic
302C22×C3×C5C22×D411yescharacteristic
303C2×D15—22no—
304C2×D15—42no—
305C2×C5×D3—24no—
306C2×C5×D3—44no—
307C2×C5×D3—44no—
308C2×C5×D3—82no—
309C2×C3×D5—22no—
310C2×C3×D5—42no—
311C2×C3×D5—44no—
312C2×C3×D5—42no—
313C2×C3×D5—82no—
314C2×C3×D5—82no—
315D3×D5—88no—
316C3×C4×C5#12011yescharacteristic
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5C22×D411yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320Dic15—24no—
321Dic15—22no—
322C3×Dic5—22no—
323C24×C3—101no—
324C23×D3—102no—
325C23×D3D2012yes—
326C3×#41—52no—
327C3×#41—52no—
328C3×#41—101no—
329C3×#41—101no—
330C2×C3×Q8—51no—
331C2×C3×D4—51no—
332C2×C3×D4—52no—
333C2×C3×D4—101no—
334C2×C3×D4—101no—
335C2×C3×D4—101no—
336C2×C3×D4—101no—
337C2×C3×D4—101no—
338C2×C3×D4—101no—
339C22×C3×C4—101no—
340C22×C3×C4C22×D511yescharacteristic
341C2×#67—102no—
342C2×#67—101no—
343C2×#67—108no—
344C2×#67—208no—
345C22×Dic3—101no—
346#239—104no—
347#239—104no—
348D3×D4—104no—
349D3×D4—104no—
350D3×D4—108no—
351D3×D4—108no—
352#235—52no—
353#235—52no—
354#235—104no—
355#235—104no—
356#235—101no—
357#235—101no—
358C2×D12—21no—
359C2×D12—21no—
360C2×D12—21no—
361C2×D12—21no—
362C2×D12—51no—
363C2×D12—104no—
364C2×D12—104no—
365C2×D12—102no—
366C2×D12D2012yes—
367C2×D12C22×D512yes—
368C2×C4×D3—102no—
369C2×C4×D3—101no—
370C2×Dic6—51no—
371C3×SD16—104no—
372C3×D8—104no—
373C3×M16—21no—
374C3×M16C22×D512yescomplemented
375C2×C3×C8—21no—
376#214—104no—
377#213—104no—
378C4×Dic3—52no—
379C4×Dic3—101no—
380#208—21no—
381#208C22×D512yescomplemented
382C2×C3⋊C8—21no—
383C23×C5—34no—
384C23×C5—62no—
385C23×C5—62no—
386C23×C5—124no—
387C23×C5D3×D411yescharacteristic
388C22×D5—21no—
389C22×D5—22no—
390C22×D5—44no—
391C22×D5—41no—
392C22×D5—41no—
393C22×D5—68no—
394C22×D5—61no—
395C22×D5—244no—
396C5×D4—62no—
397C5×D4—62no—
398C5×D4—62no—
399C5×D4—62no—
400C2×C4×C5D3×D411yescharacteristic
401C2×C4×C5D3×D411yescharacteristic
402C2×C4×C5D3×D411yescharacteristic
403C2×C4×C5C2×#6711yescharacteristic
404C2×C4×C5C2×#6711yescharacteristic
405C2×C4×C5C23×D311yescharacteristic
406C22⋊D5—22no—
407C22⋊D5—22no—
408C22⋊D5—68no—
409C22⋊D5—68no—
410C22⋊D5—62no—
411C22⋊D5—62no—
412C22⋊D5—1216no—
413C2×Dic5—21no—
414C2×Dic5—68no—
415C2×Dic5—64no—
416C2×Dic5—61no—
417C2×Dic5—62no—
418D20—21no—
419D20—22no—
420D20—22no—
421D20—32no—
422D20—41no—
423D20—41no—
424D20—61no—
425D20C2×#6712yescomplemented
426C4×D5—22no—
427C4×D5—22no—
428C4×D5—62no—
429C4×D5—62no—
430Dic10—21no—
431Dic10—32no—
432Dic10—61no—
433Dic10C2×#6712yescomplemented
434C5×C8—22no—
435C5×C8—62no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—51no—
441C2×#41—151no—
442C2×#41—301no—
443C2×#41—301no—
444C22×D4—31no—
445C22×D4—51no—
446C22×D4—301no—
447C22×D4—301no—
448C22×D4—302no—
449C22×D4—302no—
450AGL(1,ℤ/8)—54no—
451AGL(1,ℤ/8)—102no—
452AGL(1,ℤ/8)—154no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—101no—
455C2×SD16—301no—
456C2×D8—101no—
457C2×D8—301no—
458C2×M16—31no—
459C2×M16D3×D511yescharacteristic, complemented
460#127—154no—
461#127—302no—
462C2×C42—151no—
463#104—154no—
464#104—154no—
465#100—34no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5#45312yescomplemented
469C2×C3×C5C2×#12011yescharacteristic
470D15—42no—
471C3×D5—42no—
472C3×D5—82no—
473C5×D3—44no—
474C23×C3—101no—
475C23×C3—102no—
476C23×C3—204no—
477C23×C3—201no—
478C23×C3—201no—
479C23×C3C2×D2011yescharacteristic
480C22×D3—22no—
481C22×D3—22no—
482C22×D3—44no—
483C22×D3—108no—
484C22×D3—101no—
485C22×D3—404no—
486C22×D3C2×D2014yes—
487C3×Q8—52no—
488C3×Q8—101no—
489C3×D4—52no—
490C3×D4—102no—
491C3×D4—102no—
492C3×D4—102no—
493C3×D4—102no—
494C3×D4—101no—
495C3×D4—201no—
496C3×D4—201no—
497C2×C3×C4—101no—
498C2×C3×C4—102no—
499C2×C3×C4—102no—
500C2×C3×C4C2×D2011yescharacteristic
501C2×C3×C4D4×D511yescharacteristic
502C2×C3×C4D4×D511yescharacteristic
503C2×C3×C4D4×D511yescharacteristic
504C2×C3×C4D4×D511yescharacteristic
505C2×C3×C4C23×D511yescharacteristic
506#67—108no—
507#67—102no—
508#67—102no—
509#67—2016no—
510C2×Dic3—104no—
511C2×Dic3—102no—
512C2×Dic3—101no—
513D12—22no—
514D12—22no—
515D12—22no—
516D12—22no—
517D12—52no—
518D12—108no—
519D12—101no—
520C4×D3—108no—
521C4×D3—102no—
522C4×D3—102no—
523Dic6—52no—
524Dic6—101no—
525C3×C8—22no—
526C3⋊C8—22no—
527C22×C5—22no—
528C22×C5—64no—
529C22×C5—124no—
530C22×C5—124no—
531C22×C5—242no—
532C22×C5#93711yescharacteristic
533C22×C5#93711yescharacteristic
534C22×C5C2×D3×D411yescharacteristic
535C2×D5—22no—
536C2×D5—42no—
537C2×D5—44no—
538C2×D5—42no—
539C2×D5—62no—
540C2×D5—82no—
541C2×D5—82no—
542C2×D5—122no—
543C2×D5—248no—
544C4×C5#93711yescharacteristic
545C4×C5#93711yescharacteristic
546C4×C5C2×D3×D411yescharacteristic
547C4×C5C22×#6711yescharacteristic
548Dic5—22no—
549Dic5—64no—
550Dic5—62no—
551C24—32no—
552C24—101no—
553C24—302no—
554#41—52no—
555#41—52no—
556#41—101no—
557#41—101no—
558#41—152no—
559#41—152no—
560#41—304no—
561#41—304no—
562#41—304no—
563#41—304no—
564#41—301no—
565#41—301no—
566C2×Q8—51no—
567C2×Q8—151no—
568C2×D4—32no—
569C2×D4—32no—
570C2×D4—51no—
571C2×D4—52no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—101no—
577C2×D4—101no—
578C2×D4—101no—
579C2×D4—101no—
580C2×D4—101no—
581C2×D4—101no—
582C2×D4—151no—
583C2×D4—304no—
584C2×D4—304no—
585C2×D4—302no—
586C2×D4—304no—
587C2×D4—304no—
588C2×D4—308no—
589C2×D4—308no—
590C2×D4—302no—
591C2×D4—301no—
592C2×D4—308no—
593C2×D4—608no—
594C22×C4—101no—
595C22×C4—302no—
596C22×C4—301no—
597C22×C4—301no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—104no—
600SD16—304no—
601D8—104no—
602D8—304no—
603M16—21no—
604M16—32no—
605M16—61no—
606M16C2×D3×D512yescomplemented
607C2×C8—21no—
608C2×C8—61no—
609C42—152no—
610C42—301no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—102no—
614C22×C3—204no—
615C22×C3—202no—
616C22×C3—202no—
617C22×C3—402no—
618C22×C3—402no—
619C22×C3#402811yescharacteristic
620C22×C3#402811yescharacteristic
621C22×C3C22×D2011yescharacteristic
622C2×D3—24no—
623C2×D3—44no—
624C2×D3—44no—
625C2×D3—82no—
626C2×D3—102no—
627C2×D3—202no—
628C2×D3—408no—
629C3×C4—102no—
630C3×C4#402811yescharacteristic
631C3×C4#402811yescharacteristic
632C3×C4C2×D4×D511yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634Dic3—104no—
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—124no—
639C2×C5#519812yescomplemented
640C2×C5C2×#93711yescharacteristic
641D5—42no—
642D5—82no—
643D5—122no—
644C23—34no—
645C23—62no—
646C23—62no—
647C23—101no—
648C23—102no—
649C23—124no—
650C23—204no—
651C23—201no—
652C23—201no—
653C23—308no—
654C23—301no—
655C23—1204no—
656C23D3×D2011yescharacteristic
657Q8—52no—
658Q8—101no—
659Q8—152no—
660Q8—301no—
661D4—52no—
662D4—62no—
663D4—62no—
664D4—62no—
665D4—62no—
666D4—102no—
667D4—102no—
668D4—101no—
669D4—102no—
670D4—102no—
671D4—152no—
672D4—201no—
673D4—201no—
674D4—308no—
675D4—308no—
676D4—302no—
677D4—302no—
678D4—301no—
679D4—6016no—
680C2×C4—101no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—308no—
684C2×C4—304no—
685C2×C4—301no—
686C2×C4—302no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4D3×D2011yescharacteristic
690C2×C4#677711yescharacteristic
691C2×C4#677711yescharacteristic
692C2×C4D5×#6711yescharacteristic
693C2×C4D5×#6711yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—22no—
696C8—62no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—202no—
700C2×C3—402no—
701C2×C3#6503612yescomplemented
702C2×C3C2×#402811yescharacteristic
703D3—44no—
704D3—202no—
705C5C2×#519811yescharacteristic, complemented, Sylow
706C22—22no—
707C22—64no—
708C22—102no—
709C22—124no—
710C22—124no—
711C22—204no—
712C22—202no—
713C22—202no—
714C22—242no—
715C22—302no—
716C22—402no—
717C22—402no—
718C22—602no—
719C22—1208no—
720C22#9147411yescharacteristic
721C22#9147411yescharacteristic
722C22C2×D3×D2011yescharacteristic
723C4—102no—
724C4—304no—
725C4—302no—
726C4#9147411yescharacteristic
727C4#9147411yescharacteristic
728C4C2×#677711yescharacteristic
729C4C2×D5×#6711yescharacteristic
730C3C2×#6503611yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—124no—
734C2—202no—
735C2—402no—
736C2—602no—
737C2#1174824312yesdirect product factor
738C2C2×#9147411yescharacteristic
subgroupG/H
centerC22#91474
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×M16C22
socleC22×C3×C5#120
hypercenterC2×M16D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×#92018C2semidirect
2. C2×C3×#4054C2semidirect
3. C2×#91463C2semidirect
4. C2×#91312C2semidirect
5. C2×#91109C2semidirect
6. C2×C5×#823C2semidirect
7. C2×#90976C2semidirect
8. #11748243C2direct (N × H)
13. C22×C3×D20C22semidirect
19. #92018C22semidirect
24. C2×C3×C5×M16C22semidirect
25. C2×C4×Dic15C22semidirect
26. C2×C5×#208C22semidirect
28. C3×#4054C22semidirect
32. #91463C22semidirect
34. #91312C22semidirect
37. #91109C22semidirect
38. C5×#823C22semidirect
39. #90976C22semidirect
44. C2×#4054D3semidirect
57. #6817D4semidirect
59. C2×D60D4semidirect
61. C2×Dic30D4semidirect
71. C3×#709D4semidirect
78. C2×C3×D20D4semidirect
79. C2×C3×D20C23semidirect
81. C2×C3×Dic10D4semidirect
98. C3×C5×M16C23semidirect
101. C4×Dic15C23semidirect
103. C5×#208C23semidirect
116. C2×#823D5semidirect
130. C22×D20C2×D3semidirect
132. C2×C5×M16C2×D3semidirect
139. #4054C2×D3semidirect
173. D60C2×D4semidirect
177. Dic30C2×D4semidirect
190. C3×D20C2×D4semidirect
194. C3×Dic10C2×D4semidirect
219. C2×C3×M16C2×D5semidirect
227. C2×#208C2×D5semidirect
230. #823C2×D5semidirect
265. #709#67semidirect
273. C2×D20#67semidirect
274. C2×D20C22×D3semidirect
278. C2×Dic10#67semidirect
282. C5×M16C22×D3semidirect
374. C3×M16C22×D5semidirect
381. #208C22×D5semidirect
425. D20C2×#67semidirect
433. Dic10C2×#67semidirect
459. C2×M16D3×D5semidirect
468. C2×C3×C5#453semidirect
606. M16C2×D3×D5semidirect
611. C3×C5C2×#453semidirect
639. C2×C5#5198semidirect
701. C2×C3#65036semidirect
705. C5C2×#5198semidirect
730. C3C2×#65036semidirect
737. C2#11748243direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#920182
C2×C3×#40542
C2×#914632
C2×#913122
C2×#911092
C2×C5×#8232
C2×#909762
#117482432
C2×#650363
C2×#51985