Finite Group Databasebeta

← C2×#11749422 #14424991

Subgroups — C2×#11749422 #14424991

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×#92100C211yesmaximal, characteristic, complemented
2C2×C5×#949C211yesmaximal, characteristic, complemented
3C2×#91451C211yesmaximal, characteristic, complemented
4C2×#91304C211yesmaximal, characteristic, complemented
5C2×C3×#3969C211yesmaximal, characteristic, complemented
6#11749422C218yesmaximal, direct product factor
7C2×#90981C211yesmaximal, characteristic, complemented
8C2×#90960C211yesmaximal, characteristic, complemented
9C2×#65487—31nomaximal, Hall
10C2×C3×C5×#41C2211yescharacteristic
11#92100—22no—
12#92100—22no—
13#92100—22no—
14#92100C2214yescomplemented
15C2×#6821—21no—
16C2×D4×D15—22no—
17C2×D4×D15—21no—
18C2×#6817—21no—
19C2×#6817C2211yescharacteristic
20C22×D60—21no—
21C22×D60C2211yescharacteristic
22C22×C5×D12C2211yescharacteristic, complemented
23C22×#1203—22no—
24C5×#949—22no—
25C5×#949C2214yescomplemented
26C2×C5×#215—21no—
27C2×C5×#213—21no—
28C2×C5×#208C2211yescharacteristic, complemented
29C2×C3×C4×Dic5C2211yescharacteristic, complemented
30C2×C3×#681C2211yescharacteristic, complemented
31#91451—22no—
32#91451C2214yescomplemented
33C2×#6659—21no—
34#91304—22no—
35#91304C2214yescomplemented
36C2×#6654—21no—
37C3×#3969C2214yescomplemented
38#90981C2214yescomplemented
39#90960C2214yescomplemented
40C2×#4822—51nomaximal, Hall
41C2×#4149—31no—
42C2×C5×AGL(1,ℤ/8)—31no—
43C2×#4086—31no—
44C2×#4078—31no—
45C2×#3969D311yescharacteristic, complemented
46#65487—38no—
47C2×#3957—31no—
48C2×#3955—31no—
49C23×D15—22no—
50C23×D15D412yes—
51C23×C5×D3—21no—
52C3×C5×#41—21no—
53C3×C5×#41—21no—
54C3×C5×#41D412yescomplemented
55C3×C5×#41C2312yes—
56C2×C3×C5×Q8D411yescharacteristic, complemented
57C2×C3×C5×D4—21no—
58C2×C3×C5×D4D411yescharacteristic, complemented
59C22×C3×C4×C5—21no—
60C22×C3×C4×C5C2311yescharacteristic
61C2×#1220—22no—
62C2×#1220—21no—
63#6821—24no—
64#6821—24no—
65D4×D15—28no—
66D4×D15—24no—
67D4×D15—28no—
68D4×D15—24no—
69#6817—24no—
70#6817—21no—
71#6817—21no—
72#6817—24no—
73#6817D412yescomplemented
74#6817C2312yes—
75C2×D60—22no—
76C2×D60—24no—
77C2×D60—21no—
78C2×D60—21no—
79C2×D60—21no—
80C2×D60—21no—
81C2×D60—24no—
82C2×D60D412yes—
83C2×D60D411yescharacteristic, complemented
84C2×D60C2312yes—
85C2×C4×D15—22no—
86C2×C4×D15—21no—
87C2×Dic30D411yescharacteristic, complemented
88C2×C5×D12—21no—
89C2×C5×D12—21no—
90C2×C5×D12—21no—
91C2×C5×D12—21no—
92C2×C5×D12—21no—
93C2×C5×D12C2312yescomplemented
94C22×C3×Dic5—21no—
95C2×#1203—28no—
96C2×#1203—48no—
97C5×#215—24no—
98C5×#213—24no—
99C5×#208—21no—
100C5×#208C2312yescomplemented
101C2×C5×C3⋊C8—21no—
102C3×C4×Dic5—21no—
103C3×C4×Dic5C2312yescomplemented
104C3×#681—21no—
105C3×#681C2312yescomplemented
106C2×C3×#168—21no—
107#6659—24no—
108#6654—24no—
109C2×#1009—51no—
110C2×#949D511yescharacteristic, complemented
111C2×#908—51no—
112C2×#874—51no—
113C2×C3×#104—51no—
114C2×#823—51no—
115C2×#805—51no—
116#4822—58no—
117C2×C5×#41C2×D311yescharacteristic
118C22×C5×D4—31no—
119C22×C22⋊D5—62no—
120#4149—34no—
121#4149—62no—
122#4149—62no—
123#4149—62no—
124C2×#713—61no—
125C2×D4×D5—62no—
126C2×D4×D5—61no—
127C2×#709—31no—
128C2×#709—61no—
129C22×D20—31no—
130C22×D20—61no—
131C5×AGL(1,ℤ/8)—34no—
132C5×AGL(1,ℤ/8)—62no—
133C2×C5×SD16—61no—
134C2×C5×D8—61no—
135C2×C5×M16—31no—
136#4086—34no—
137#4086—62no—
138C2×#687—61no—
139#4078—34no—
140#4078—62no—
141C2×#686—61no—
142C2×C4×Dic5C2×D311yescharacteristic, complemented
143C2×#681C2×D311yescharacteristic, complemented
144#3969C2×D314yescomplemented
145#3957—34no—
146#3955—34no—
147C2×#453—151noSylow
148C23×C3×C5—21no—
149C23×C3×C5C2×D411yescharacteristic
150C22×D15—22no—
151C22×D15—21no—
152C22×D15—28no—
153C22×D15—22no—
154C22×D15—44no—
155C22×D15—84no—
156C22×D15C2×D414yes—
157C22×C5×D3—22no—
158C22×C5×D3—44no—
159C22×C5×D3—41no—
160C22×C5×D3—41no—
161C3×C5×Q8—21no—
162C3×C5×Q8C2×D412yescomplemented
163C3×C5×D4—22no—
164C3×C5×D4—22no—
165C3×C5×D4—21no—
166C3×C5×D4C2×D412yescomplemented
167C2×C3×C4×C5—21no—
168C2×C3×C4×C5—22no—
169C2×C3×C4×C5—22no—
170C2×C3×C4×C5C2×D411yescharacteristic
171C2×C3×C4×C5C2×D411yescharacteristic
172C2×C3×C4×C5C2×D411yescharacteristic
173C2×C3×C4×C5C2×D411yescharacteristic
174C2×C3×C4×C5C2×D411yescharacteristic
175C2×C3×C4×C5C2411yescharacteristic
176#1220—28no—
177#1220—22no—
178#1220—22no—
179C2×Dic15—21no—
180D60—28no—
181D60—22no—
182D60—21no—
183D60—22no—
184D60—22no—
185D60—22no—
186D60C2×D412yescomplemented
187C4×D15—28no—
188C4×D15—22no—
189C4×D15—22no—
190Dic30—21no—
191Dic30C2×D412yescomplemented
192C5×D12—22no—
193C5×D12—22no—
194C5×D12—41no—
195C5×D12—41no—
196C2×C3×Dic5—24no—
197C2×C3×Dic5—22no—
198#1203—416no—
199C3×#168—22no—
200C5×C3⋊C8—22no—
201C2×C3×#41C2×D511yescharacteristic
202#1009—54no—
203#1009—102no—
204#1009—102no—
205#1009—102no—
206C2×#239—101no—
207C2×D3×D4—102no—
208C2×D3×D4—101no—
209C2×#235—51no—
210C2×#235—101no—
211C22×D12—51no—
212C22×D12—101no—
213C22×D12—102no—
214C22×D12C2×D511yescharacteristic, complemented
215C2×C3×M16—51no—
216C2×C3×C42—51no—
217#949—22no—
218#949C2×D514yescomplemented
219C2×#215—21no—
220C2×#213—21no—
221C2×#208C2×D511yescharacteristic, complemented
222#908—54no—
223#908—102no—
224C2×D24—101no—
225C2×#204—101no—
226#874—54no—
227#874—102no—
228C3×#104—54no—
229#823—54no—
230#805—54no—
231C24×C5—61no—
232C23×D5—32no—
233C23×D5—62no—
234C5×#41—21no—
235C5×#41—21no—
236C5×#41D1212yescomplemented
237C5×#41C22×D312yes—
238C2×C5×Q8D1211yescharacteristic, complemented
239C2×C5×D4—21no—
240C2×C5×D4—32no—
241C2×C5×D4—61no—
242C2×C5×D4—61no—
243C2×C5×D4—61no—
244C2×C5×D4—61no—
245C2×C5×D4—61no—
246C2×C5×D4D1211yescharacteristic, complemented
247C22×C4×C5—21no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—68no—
250C2×C22⋊D5—62no—
251C2×C22⋊D5—61no—
252C2×C22⋊D5—128no—
253C22×Dic5—21no—
254#713—64no—
255#713—64no—
256D4×D5—68no—
257D4×D5—68no—
258D4×D5—64no—
259D4×D5—64no—
260#709—32no—
261#709—32no—
262#709—64no—
263#709—64no—
264#709—61no—
265#709—61no—
266C2×D20—31no—
267C2×D20—32no—
268C2×D20—32no—
269C2×D20—64no—
270C2×D20—62no—
271C2×D20—64no—
272C2×D20—61no—
273C2×D20—61no—
274C2×D20—61no—
275C2×D20—61no—
276C2×C4×D5—62no—
277C2×C4×D5—61no—
278C2×Dic10—31no—
279C5×SD16—64no—
280C5×D8—64no—
281C5×M16—32no—
282C5×M16—61no—
283C2×C5×C8—61no—
284#687—64no—
285#686—64no—
286C4×Dic5—21no—
287C4×Dic5C22×D312yescomplemented
288#681—21no—
289#681C22×D312yescomplemented
290C2×#168—21no—
291C2×H(5,𝔽2)—151no—
292C2×AGL(1,ℤ/8)—31no—
293C2×AGL(1,ℤ/8)—151no—
294C2×#127—151no—
295#453—158no—
296C2×#104—51no—
297C2×#104—151no—
298C2×#100—151no—
299C22×C3×C5—22no—
300C22×C3×C5—22no—
301C22×C3×C5—42no—
302C22×C3×C5#12011yescharacteristic
303C22×C3×C5#12011yescharacteristic
304C22×C3×C5C22×D411yescharacteristic
305C2×D15—24no—
306C2×D15—22no—
307C2×D15—44no—
308C2×D15—42no—
309C2×D15—44no—
310C2×D15—82no—
311C2×D15—88no—
312C2×C5×D3—44no—
313C2×C5×D3—42no—
314C2×C5×D3—82no—
315C2×C5×D3—82no—
316C3×C4×C5—22no—
317C3×C4×C5#12011yescharacteristic
318C3×C4×C5#12011yescharacteristic
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—22no—
322C3×Dic5—24no—
323C23×D3—21no—
324C23×D3—52no—
325C23×D3—102no—
326C3×#41—21no—
327C3×#41—21no—
328C3×#41C22⋊D512yescomplemented
329C3×#41C22×D512yes—
330C2×C3×Q8C22⋊D511yescharacteristic, complemented
331C2×C3×D4—21no—
332C2×C3×D4C22⋊D511yescharacteristic, complemented
333C22×C3×C4—21no—
334C22×C3×C4—101no—
335C22×C3×C4C22×D511yescharacteristic
336C2×#67—102no—
337C2×#67—101no—
338#239—104no—
339#239—104no—
340D3×D4—108no—
341D3×D4—108no—
342D3×D4—104no—
343D3×D4—104no—
344#235—52no—
345#235—52no—
346#235—104no—
347#235—104no—
348#235—101no—
349#235—101no—
350C2×D12—21no—
351C2×D12—21no—
352C2×D12—21no—
353C2×D12—21no—
354C2×D12—21no—
355C2×D12—51no—
356C2×D12—52no—
357C2×D12—52no—
358C2×D12—104no—
359C2×D12—102no—
360C2×D12—104no—
361C2×D12—101no—
362C2×D12—101no—
363C2×D12—101no—
364C2×D12—101no—
365C2×D12—108no—
366C2×D12—208no—
367C2×D12C22×D512yescomplemented
368C2×C4×D3—102no—
369C2×C4×D3—101no—
370C2×Dic6—51no—
371C3×M16—52no—
372C3×M16—101no—
373C2×C3×C8—101no—
374C3×C42—52no—
375C3×C42—101no—
376#215—24no—
377#213—24no—
378#208—21no—
379#208C22×D512yescomplemented
380C2×C3⋊C8—21no—
381D24—104no—
382#204—104no—
383C23×C5—21no—
384C23×C5—62no—
385C23×C5—124no—
386C23×C5—121no—
387C23×C5—121no—
388C23×C5D3×D411yescharacteristic
389C22×D5—34no—
390C22×D5—61no—
391C22×D5—62no—
392C22×D5—68no—
393C22×D5—62no—
394C22×D5—124no—
395C22×D5—244no—
396C5×Q8—21no—
397C5×Q8C2×D1212yescomplemented
398C5×D4—22no—
399C5×D4—22no—
400C5×D4—21no—
401C5×D4—62no—
402C5×D4—62no—
403C5×D4—121no—
404C5×D4—121no—
405C5×D4C2×D1212yescomplemented
406C2×C4×C5—21no—
407C2×C4×C5—22no—
408C2×C4×C5—22no—
409C2×C4×C5C2×D1211yescharacteristic
410C2×C4×C5C2×D1211yescharacteristic
411C2×C4×C5D3×D411yescharacteristic
412C2×C4×C5D3×D411yescharacteristic
413C2×C4×C5D3×D411yescharacteristic
414C2×C4×C5C23×D311yescharacteristic
415C22⋊D5—68no—
416C22⋊D5—62no—
417C22⋊D5—62no—
418C22⋊D5—1216no—
419C2×Dic5—24no—
420C2×Dic5—22no—
421C2×Dic5—61no—
422D20—32no—
423D20—68no—
424D20—61no—
425D20—62no—
426D20—62no—
427D20—62no—
428D20—62no—
429C4×D5—68no—
430C4×D5—62no—
431C4×D5—62no—
432Dic10—32no—
433Dic10—61no—
434C5×C8—62no—
435#168—22no—
436H(5,𝔽2)—154no—
437H(5,𝔽2)—302no—
438H(5,𝔽2)—302no—
439H(5,𝔽2)—302no—
440C2×#41—151no—
441C2×#41—301no—
442C2×#41—301no—
443C2×#41D3×D511yescharacteristic
444C22×D4—31no—
445C22×D4—151no—
446C22×D4—301no—
447C22×D4—302no—
448C22×D4—302no—
449C22×D4—301no—
450AGL(1,ℤ/8)—34no—
451AGL(1,ℤ/8)—62no—
452AGL(1,ℤ/8)—154no—
453AGL(1,ℤ/8)—302no—
454C2×SD16—61no—
455C2×SD16—301no—
456C2×D8—61no—
457C2×D8—301no—
458C2×M16—31no—
459C2×M16—51no—
460#127—154no—
461#127—302no—
462C2×C42—51no—
463#104—54no—
464#104—154no—
465#100—154no—
466C2×C3×C5—21no—
467C2×C3×C5—21no—
468C2×C3×C5—42no—
469C2×C3×C5#45312yescomplemented
470C2×C3×C5C2×#12011yescharacteristic
471D15—44no—
472D15—42no—
473C5×D3—82no—
474C23×C3—21no—
475C23×C3D4×D511yescharacteristic
476C22×D3—22no—
477C22×D3—44no—
478C22×D3—41no—
479C22×D3—41no—
480C22×D3—54no—
481C22×D3—101no—
482C22×D3—102no—
483C22×D3—108no—
484C22×D3—102no—
485C22×D3—204no—
486C22×D3—404no—
487C3×Q8—21no—
488C3×Q8C2×C22⋊D512yescomplemented
489C3×D4—22no—
490C3×D4—22no—
491C3×D4—21no—
492C3×D4C2×C22⋊D512yescomplemented
493C2×C3×C4—21no—
494C2×C3×C4—22no—
495C2×C3×C4—22no—
496C2×C3×C4—104no—
497C2×C3×C4—102no—
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4D4×D511yescharacteristic
501C2×C3×C4C2×C22⋊D511yescharacteristic
502C2×C3×C4C2×C22⋊D511yescharacteristic
503C2×C3×C4C23×D511yescharacteristic
504#67—108no—
505#67—102no—
506#67—102no—
507C2×Dic3—101no—
508D12—22no—
509D12—22no—
510D12—41no—
511D12—41no—
512D12—52no—
513D12—108no—
514D12—102no—
515D12—102no—
516D12—101no—
517D12—102no—
518D12—102no—
519D12—2016no—
520C4×D3—108no—
521C4×D3—102no—
522C4×D3—102no—
523Dic6—52no—
524Dic6—101no—
525C3×C8—102no—
526C3⋊C8—22no—
527C22×C5—22no—
528C22×C5—22no—
529C22×C5—42no—
530C22×C5—124no—
531C22×C5—122no—
532C22×C5—242no—
533C22×C5—242no—
534C22×C5#88211yescharacteristic
535C22×C5#88211yescharacteristic
536C22×C5C2×D3×D411yescharacteristic
537C2×D5—62no—
538C2×D5—64no—
539C2×D5—124no—
540C2×D5—122no—
541C2×D5—124no—
542C2×D5—242no—
543C2×D5—248no—
544C4×C5—22no—
545C4×C5#88211yescharacteristic
546C4×C5#88211yescharacteristic
547C4×C5C22×D1211yescharacteristic
548C4×C5C2×D3×D411yescharacteristic
549Dic5—24no—
550Dic5—62no—
551C24—61no—
552C24—152no—
553C24—302no—
554#41—21no—
555#41—21no—
556#41—152no—
557#41—152no—
558#41—304no—
559#41—304no—
560#41—304no—
561#41—304no—
562#41—301no—
563#41—301no—
564#41#120312yescomplemented
565#41C2×D3×D512yes—
566C2×Q8—151no—
567C2×Q8#120311yescharacteristic, complemented
568C2×D4—21no—
569C2×D4—32no—
570C2×D4—61no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—151no—
576C2×D4—152no—
577C2×D4—152no—
578C2×D4—304no—
579C2×D4—302no—
580C2×D4—304no—
581C2×D4—308no—
582C2×D4—308no—
583C2×D4—308no—
584C2×D4—304no—
585C2×D4—302no—
586C2×D4—301no—
587C2×D4—304no—
588C2×D4—301no—
589C2×D4—301no—
590C2×D4—301no—
591C2×D4—301no—
592C2×D4—608no—
593C2×D4#120311yescharacteristic, complemented
594C22×C4—21no—
595C22×C4—101no—
596C22×C4—302no—
597C22×C4—301no—
598C22×C4C2×D3×D511yescharacteristic
599SD16—64no—
600SD16—304no—
601D8—64no—
602D8—304no—
603M16—32no—
604M16—52no—
605M16—61no—
606M16—101no—
607C2×C8—61no—
608C2×C8—101no—
609C42—52no—
610C42—101no—
611C3×C5C2×#45311yescharacteristic, complemented, Hall
612C22×C3—22no—
613C22×C3—22no—
614C22×C3—42no—
615C22×C3#408311yescharacteristic
616C22×C3#408311yescharacteristic
617C22×C3C2×D4×D511yescharacteristic
618C2×D3—44no—
619C2×D3—42no—
620C2×D3—82no—
621C2×D3—82no—
622C2×D3—102no—
623C2×D3—104no—
624C2×D3—204no—
625C2×D3—202no—
626C2×D3—204no—
627C2×D3—402no—
628C2×D3—408no—
629C3×C4—22no—
630C3×C4—104no—
631C3×C4#408311yescharacteristic
632C3×C4#408311yescharacteristic
633C3×C4C2×D4×D511yescharacteristic
634C3×C4C22×C22⋊D511yescharacteristic
635Dic3—102no—
636C2×C5—21no—
637C2×C5—21no—
638C2×C5—42no—
639C2×C5—242no—
640C2×C5#482212yescomplemented
641C2×C5C2×#88211yescharacteristic
642D5—124no—
643D5—122no—
644C23—21no—
645C23—62no—
646C23—124no—
647C23—121no—
648C23—121no—
649C23—154no—
650C23—308no—
651C23—301no—
652C23—302no—
653C23—302no—
654C23—604no—
655C23—1204no—
656C23#679011yescharacteristic
657Q8—21no—
658Q8—152no—
659Q8—301no—
660Q8C2×#120312yescomplemented
661D4—22no—
662D4—22no—
663D4—21no—
664D4—62no—
665D4—62no—
666D4—121no—
667D4—121no—
668D4—152no—
669D4—308no—
670D4—308no—
671D4—302no—
672D4—302no—
673D4—302no—
674D4—302no—
675D4—301no—
676D4—302no—
677D4—302no—
678D4—6016no—
679D4C2×#120312yescomplemented
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—104no—
684C2×C4—102no—
685C2×C4—308no—
686C2×C4—301no—
687C2×C4—302no—
688C2×C4—302no—
689C2×C4C2×#120311yescharacteristic
690C2×C4C2×#120311yescharacteristic
691C2×C4#679011yescharacteristic
692C2×C4#679011yescharacteristic
693C2×C4#679011yescharacteristic
694C2×C4C22×D3×D511yescharacteristic
695C8—62no—
696C8—102no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—42no—
700C2×C3#6548712yescomplemented
701C2×C3C2×#408311yescharacteristic
702D3—82no—
703D3—204no—
704D3—202no—
705C5C2×#482211yescharacteristic, complemented, Sylow
706C22—22no—
707C22—22no—
708C22—42no—
709C22—124no—
710C22—122no—
711C22—242no—
712C22—242no—
713C22—302no—
714C22—304no—
715C22—604no—
716C22—604no—
717C22—602no—
718C22—1202no—
719C22—1208no—
720C22#9157311yescharacteristic
721C22#9157311yescharacteristic
722C22C2×#679011yescharacteristic
723C4—22no—
724C4—104no—
725C4—302no—
726C4#9157311yescharacteristic
727C4#9157311yescharacteristic
728C4C22×#120311yescharacteristic
729C4C2×#679011yescharacteristic
730C3C2×#6548711yescharacteristic, complemented, Sylow
731C2—21no—
732C2—21no—
733C2—42no—
734C2—242no—
735C2—604no—
736C2—602no—
737C2#1174942212yesdirect product factor
738C2C2×#9157311yescharacteristic
subgroupG/H
centerC22#91573
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5#120
hypercenterC2×#41D3×D5
hypocenterC3×C5C2×#453
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#92100C2semidirect
2. C2×C5×#949C2semidirect
3. C2×#91451C2semidirect
4. C2×#91304C2semidirect
5. C2×C3×#3969C2semidirect
6. #11749422C2direct (N × H)
7. C2×#90981C2semidirect
8. C2×#90960C2semidirect
14. #92100C22semidirect
22. C22×C5×D12C22semidirect
25. C5×#949C22semidirect
28. C2×C5×#208C22semidirect
29. C2×C3×C4×Dic5C22semidirect
30. C2×C3×#681C22semidirect
32. #91451C22semidirect
35. #91304C22semidirect
37. C3×#3969C22semidirect
38. #90981C22semidirect
39. #90960C22semidirect
45. C2×#3969D3semidirect
54. C3×C5×#41D4semidirect
56. C2×C3×C5×Q8D4semidirect
58. C2×C3×C5×D4D4semidirect
73. #6817D4semidirect
83. C2×D60D4semidirect
87. C2×Dic30D4semidirect
93. C2×C5×D12C23semidirect
100. C5×#208C23semidirect
103. C3×C4×Dic5C23semidirect
105. C3×#681C23semidirect
110. C2×#949D5semidirect
142. C2×C4×Dic5C2×D3semidirect
143. C2×#681C2×D3semidirect
144. #3969C2×D3semidirect
162. C3×C5×Q8C2×D4semidirect
166. C3×C5×D4C2×D4semidirect
186. D60C2×D4semidirect
191. Dic30C2×D4semidirect
214. C22×D12C2×D5semidirect
218. #949C2×D5semidirect
221. C2×#208C2×D5semidirect
236. C5×#41D12semidirect
238. C2×C5×Q8D12semidirect
246. C2×C5×D4D12semidirect
287. C4×Dic5C22×D3semidirect
289. #681C22×D3semidirect
328. C3×#41C22⋊D5semidirect
330. C2×C3×Q8C22⋊D5semidirect
332. C2×C3×D4C22⋊D5semidirect
367. C2×D12C22×D5semidirect
379. #208C22×D5semidirect
397. C5×Q8C2×D12semidirect
405. C5×D4C2×D12semidirect
469. C2×C3×C5#453semidirect
488. C3×Q8C2×C22⋊D5semidirect
492. C3×D4C2×C22⋊D5semidirect
564. #41#1203semidirect
567. C2×Q8#1203semidirect
593. C2×D4#1203semidirect
611. C3×C5C2×#453semidirect
640. C2×C5#4822semidirect
660. Q8C2×#1203semidirect
679. D4C2×#1203semidirect
700. C2×C3#65487semidirect
705. C5C2×#4822semidirect
730. C3C2×#65487semidirect
737. C2#11749422direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#921002
C2×C5×#9492
C2×#914512
C2×#913042
C2×C3×#39692
#117494222
C2×#909812
C2×#909602
C2×#654873
C2×#48225