Finite Group Databasebeta

← #14416566

Subgroups — #14416566

Order 1920.

984 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#916C211yesmaximal, characteristic
2Dic5×#239C211yesmaximal, characteristic, complemented
3Dic5×#237C211yesmaximal, characteristic, complemented
4#11751265C211yesmaximal, characteristic, complemented
5C3×#65453C211yesmaximal, characteristic, complemented
6#11749266C211yesmaximal, characteristic, complemented
7#11749247C211yesmaximal, characteristic, complemented
8#11749211C211yesmaximal, characteristic, complemented
9#11748996C211yesmaximal, characteristic, complemented
10#11748977C211yesmaximal, characteristic, complemented
11#11748965C211yesmaximal, characteristic, complemented
12#11747816C211yesmaximal, characteristic, complemented
13#11747769C211yesmaximal, characteristic, complemented
14#11747682C211yesmaximal, characteristic, complemented
15D3×#3947C211yesmaximal, characteristic, complemented
16#10615628—31nomaximal, Hall
17C2×C5×#239C2211yescharacteristic
18C2×C5×#237C2211yescharacteristic
19C2×C3×C5×SD16C2211yescharacteristic
20Q8×Dic15C2211yescharacteristic
21D4×Dic15C2211yescharacteristic
22C2×C5×#216C2211yescharacteristic
23C2×C5×#213C2211yescharacteristic
24C5×#916C418yescomplemented
25C2×C5×#204C2211yescharacteristic
26C2×C5×D3×C8C2211yescharacteristic
27C3×Q8×Dic5C2211yescharacteristic
28C3×D4×Dic5C2211yescharacteristic
29#67⋊Dic5—21no—
30Dic5×#67—21no—
31#91529—21no—
32C2×Dic3×Dic5—21no—
33#91435—21no—
34#91435C2211yescharacteristic
35Dic5×D12—21no—
36Dic5×D12C2211yescharacteristic
37C4×D3×Dic5—21no—
38C4×D3×Dic5C2211yescharacteristic
39#91344C2211yescharacteristic
40#91338—21no—
41#91338C2211yescharacteristic
42#91338C2211yescharacteristic
43Dic5×Dic6C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91119C2211yescharacteristic
46#91116C2211yescharacteristic
47#91102C2211yescharacteristic
48#91099C2211yescharacteristic
49C3×#3967C2211yescharacteristic
50C3×#3964C2211yescharacteristic
51C3×#3950C2211yescharacteristic
52C3×#3947C2211yescharacteristic
53#90987C2211yescharacteristic
54#90987C2211yescharacteristic
55#90973C2211yescharacteristic
56#90972C2211yescharacteristic
57#90967C2211yescharacteristic
58#90966C2211yescharacteristic
59#90954C2211yescharacteristic
60#90952C2211yescharacteristic
61#79772—51nomaximal, Hall
62C2×C5×#135—31no—
63#41×Dic5—31no—
64#41×Dic5—31no—
65#65522—31no—
66#65522—31no—
67#65473—31no—
68#65473—31no—
69#65453—31no—
70#65453—31no—
71#65453—31no—
72#65453D311yescharacteristic, complemented
73#65441—31no—
74#65441—31no—
75#65395—31no—
76C2×#3947—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×D4C2311yescharacteristic
79C22×Dic15—21no—
80C2×C5×#67—21no—
81C22×C5×Dic3—21no—
82C5×#239—22no—
83C5×#239C2×C414yescomplemented
84C5×#237—22no—
85C5×#237C2×C414yescomplemented
86C2×C5×D12—21no—
87C2×C5×D12C2311yescharacteristic
88C2×C4×C5×D3—21no—
89C2×C4×C5×D3C2311yescharacteristic
90C2×C5×Dic6C2311yescharacteristic
91C22×C3×Dic5—21no—
92C2×D3×Dic5—21no—
93C2×D3×Dic5—21no—
94C2×D3×Dic5D411yescharacteristic
95C2×D3×Dic5D411yescharacteristic
96C3×C5×SD16C2×C414yescomplemented
97C2×C3×C5×C8C2311yescharacteristic
98#6719—21no—
99C4⋊Dic15—21no—
100C4⋊Dic15C2311yescharacteristic
101C4⋊Dic15C2311yescharacteristic
102C4×Dic15—21no—
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#216C2×C414yescomplemented
106C5×#213C2×C414yescomplemented
107C2×C5×C3⋊C8C2311yescharacteristic
108C5×#204C2×C414yescomplemented
109C5×D3×C8C2×C414yescomplemented
110C3×C22⋊Dic5—21no—
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×C4⋊Dic5C2311yescharacteristic
114C3×C4×Dic5—21no—
115C3×C4×Dic5C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117Dic3⋊Dic5—21no—
118Dic3⋊Dic5—21no—
119(C2×D3)⋊Dic5—21no—
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127Dic3×Dic5D411yescharacteristic
128Dic3×Dic5D411yescharacteristic
129D3×#168—22no—
130C2×#916D511yescharacteristic
131C4×#239—51no—
132C4×#237—51no—
133C3×#440—51no—
134#5164—51no—
135#5030—51no—
136#5014—51no—
137#4889—51no—
138#4880—51no—
139#4804—51no—
140#4789—51no—
141#4785—51no—
142#4772—51no—
143#4710—51no—
144D3×#97—51no—
145C2×C5×#41—31no—
146C2×C5×#41—31no—
147C5×#135—38no—
148C2×C5×Q16—31no—
149C2×C5×SD16—31no—
150C2×C5×SD16C2×D311yescharacteristic
151C2×C5×D8—31no—
152C22×C5×C8—31no—
153Q8×Dic5—31no—
154Q8×Dic5—31no—
155Q8×Dic5—31no—
156Q8×Dic5C2×D311yescharacteristic
157D4×Dic5—31no—
158D4×Dic5—31no—
159D4×Dic5—31no—
160D4×Dic5—61no—
161D4×Dic5—61no—
162D4×Dic5—61no—
163D4×Dic5—61no—
164D4×Dic5C2×D311yescharacteristic
165#4072—31no—
166#4072—31no—
167#4072—61no—
168#4072—61no—
169C2×C4×Dic5—31no—
170C2×C4×Dic5—61no—
171C2×C4×Dic5—61no—
172C22×#168—31no—
173#3967—31no—
174#3967—31no—
175#3967—31no—
176#3967C2×D311yescharacteristic
177#3964—31no—
178#3964—31no—
179#3964—31no—
180#3964C2×D311yescharacteristic
181#3950—31no—
182#3950C2×D311yescharacteristic
183#3949—31no—
184#3949—31no—
185#3947—31no—
186#3947—31no—
187#3947—31no—
188#3947C2×D311yescharacteristic
189#2943—151noSylow
190C23×C3×C5—21no—
191C22×C5×D3—21no—
192C22×C5×D3C2×D411yescharacteristic
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C3×C5×D4—21no—
196C3×C5×D4C22×C412yes—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15—42no—
202C2×Dic15C2×D411yescharacteristic
203C2×Dic15C2×D411yescharacteristic
204C5×#67—24no—
205C2×C5×Dic3—21no—
206C2×C5×Dic3—24no—
207C2×C5×Dic3C2×D411yescharacteristic
208C5×D12—24no—
209C5×D12—21no—
210C5×D12C22×C412yes—
211C4×C5×D3—24no—
212C4×C5×D3C22×C412yes—
213C4×C5×D3#4112yes—
214C5×Dic6—21no—
215C5×Dic6C22×C412yes—
216C2×C3×Dic5—21no—
217C2×C3×Dic5—21no—
218C2×C3×Dic5—42no—
219C2×C3×Dic5C2×D411yescharacteristic
220C2×C3×Dic5C2×D411yescharacteristic
221D3×Dic5—41no—
222D3×Dic5—41no—
223D3×Dic5—42no—
224D3×Dic5—42no—
225C3×C5×C8C22×C412yes—
226C3⋊#168—21no—
227C3×#168—21no—
228C5×C3⋊C8C22×C412yes—
229C2×#239C2×D511yescharacteristic
230C2×#237C2×D511yescharacteristic
231C2×C3×SD16C2×D511yescharacteristic
232C3×C4×Q8—51no—
233C3×C4×D4—51no—
234Q8×Dic3—51no—
235C2×#216C2×D511yescharacteristic
236D4×Dic3—51no—
237C2×#213C2×D511yescharacteristic
238C4×#67—101no—
239C2×C4×Dic3—101no—
240#916Dic518yescomplemented
241C2×#204C2×D511yescharacteristic
242C2×D3×C8—51no—
243C2×D3×C8C2×D511yescharacteristic
244#893—51no—
245#893—101no—
246#892—51no—
247#892—51no—
248#892—101no—
249#887—51no—
250#67⋊C4—101no—
251#877—101no—
252C4×D12—51no—
253C4×D12—101no—
254C42×D3—51no—
255C42×D3—101no—
256C4×Dic6—51no—
257C3×#107—51no—
258C3×#103—51no—
259C3×#102—51no—
260C3×#97—51no—
261#835—51no—
262#832—51no—
263#821—51no—
264#818—51no—
265#816—51no—
266#815—51no—
267#815—51no—
268#810—51no—
269#809—51no—
270#808—51no—
271#808—51no—
272#803—51no—
273C5×#41—34no—
274C5×#41—34no—
275C5×#41—62no—
276C5×#41—62no—
277C2×C5×Q8—31no—
278C2×C5×Q8C22×D311yescharacteristic
279C2×C5×D4—31no—
280C2×C5×D4—61no—
281C2×C5×D4—61no—
282C2×C5×D4C22×D311yescharacteristic
283C22×C4×C5—31no—
284C22×C4×C5—61no—
285C22×C4×C5—61no—
286C22×Dic5—21no—
287C22×Dic5—31no—
288C22×Dic5—31no—
289C22×Dic5—61no—
290C22×Dic5—61no—
291C22×Dic5—61no—
292C5×Q16—34no—
293C5×SD16—34no—
294C5×SD16C4×D314yescomplemented
295C5×D8—34no—
296C2×C5×C8—31no—
297C2×C5×C8—34no—
298C2×C5×C8C22×D311yescharacteristic
299C22⋊Dic5—21no—
300C22⋊Dic5—61no—
301C22⋊Dic5—61no—
302C22⋊Dic5—61no—
303C22⋊Dic5—61no—
304C22⋊Dic5—61no—
305C4⋊Dic5—21no—
306C4⋊Dic5—31no—
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309C4⋊Dic5—61no—
310C4⋊Dic5—61no—
311C4⋊Dic5C22×D311yescharacteristic
312C4⋊Dic5C22×D311yescharacteristic
313C4×Dic5—21no—
314C4×Dic5—31no—
315C4×Dic5—31no—
316C4×Dic5—31no—
317C4×Dic5—61no—
318C4×Dic5—61no—
319C4×Dic5—61no—
320C4×Dic5—61no—
321C4×Dic5—61no—
322C4×Dic5C22×D311yescharacteristic
323C2×#168—31no—
324C2×#168—62no—
325C2×#168C22×D311yescharacteristic
326C2×#135—31no—
327C4×#41—151no—
328C4×#41—151no—
329#442—151no—
330#442—151no—
331#441—151no—
332#441—151no—
333#440—51no—
334#440—151no—
335#440—151no—
336#440—151no—
337#427—151no—
338#416—151no—
339#416—151no—
340C2×#97—151no—
341C22×C3×C5—22no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C5×D3—21no—
346C2×C5×D3—21no—
347C2×C5×D3—22no—
348C2×C5×D3—41no—
349C2×C5×D3—41no—
350C2×C5×D3C4×D412yes—
351C3×C4×C5—22no—
352C3×C4×C5C23×C411yescharacteristic
353C3×C4×C5C2×#4111yescharacteristic
354Dic15—21no—
355Dic15—21no—
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—21no—
359C3×Dic5—21no—
360C3×Dic5—41no—
361C3×Dic5—41no—
362C5×Dic3—22no—
363C5×Dic3C4×D412yes—
364C2×C3×Q8C22×D511yescharacteristic
365C2×C3×D4C22×D511yescharacteristic
366C22×C3×C4—101no—
367C2×#67—21no—
368C22×Dic3—21no—
369C22×Dic3—101no—
370#239—22no—
371#239C2×Dic514yescomplemented
372#237—22no—
373#237C2×Dic514yescomplemented
374C2×D12—21no—
375C2×D12C22×D511yescharacteristic
376C2×C4×D3—21no—
377C2×C4×D3—51no—
378C2×C4×D3—51no—
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×C4×D3C22×D511yescharacteristic
382C2×Dic6C22×D511yescharacteristic
383C3×SD16C2×Dic514yescomplemented
384C2×C3×C8—51no—
385C2×C3×C8C22×D511yescharacteristic
386C3×C4⋊C4—51no—
387C3×C4⋊C4—51no—
388C3×C4⋊C4—101no—
389C3×C22⋊C4—101no—
390C3×C42—51no—
391C3×C42—101no—
392#217—101no—
393#216C2×Dic514yescomplemented
394#213C2×Dic514yescomplemented
395(C2×D3)⋊C4—101no—
396(C2×D3)⋊C4—101no—
397(C2×D3)⋊C4—101no—
398(C2×D3)⋊C4—101no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402Dic3⋊C4—101no—
403Dic3⋊C4—101no—
404C4×Dic3—51no—
405C4×Dic3—51no—
406C4×Dic3—51no—
407C4×Dic3—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C4×Dic3—101no—
411C4×Dic3—101no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8C22×D511yescharacteristic
414#204C2×Dic514yescomplemented
415D3×C8—102no—
416D3×C8C2×Dic514yescomplemented
417C23×C5—21no—
418C23×C5—31no—
419C23×C5—61no—
420C5×Q8—21no—
421C5×Q8—32no—
422C5×Q8—61no—
423C5×Q8C2×C4×D312yes—
424C5×D4—21no—
425C5×D4—32no—
426C5×D4—64no—
427C5×D4—64no—
428C5×D4—61no—
429C5×D4C2×C4×D312yes—
430C2×C4×C5—21no—
431C2×C4×C5—31no—
432C2×C4×C5—32no—
433C2×C4×C5—32no—
434C2×C4×C5—64no—
435C2×C4×C5—64no—
436C2×C4×C5—61no—
437C2×C4×C5C23×D311yescharacteristic
438C2×Dic5—21no—
439C2×Dic5—21no—
440C2×Dic5—31no—
441C2×Dic5—31no—
442C2×Dic5—42no—
443C2×Dic5—61no—
444C2×Dic5—61no—
445C2×Dic5—121no—
446C2×Dic5—121no—
447C2×Dic5—122no—
448C2×Dic5—122no—
449C2×Dic5—122no—
450C2×Dic5D3×D411yescharacteristic
451C2×Dic5D3×D411yescharacteristic
452C5×C8—32no—
453C5×C8C2×C4×D312yes—
454#168—21no—
455#168—61no—
456C2×#41—31no—
457C2×#41—31no—
458#135—38no—
459C2×Q16—31no—
460C2×SD16—31no—
461C2×SD16D3×D511yescharacteristic
462C2×D8—31no—
463C22×C8—31no—
464C22×C8—151no—
465C4×Q8—51no—
466C4×Q8—151no—
467C4×Q8—151no—
468C4×Q8—151no—
469C4×D4—51no—
470C4×D4—151no—
471C4×D4—151no—
472C4×D4—151no—
473C4×D4—301no—
474C4×D4—301no—
475C4×D4—301no—
476C4×D4—301no—
477#117—151no—
478#117—151no—
479#117—301no—
480#117—301no—
481C2×C42—151no—
482C2×C42—301no—
483C2×C42—301no—
484#107—51no—
485#107—151no—
486#106—151no—
487#106—151no—
488#103—51no—
489#103—151no—
490#103—151no—
491#103—151no—
492#102—51no—
493#102—151no—
494#102—151no—
495#102—151no—
496#97—51no—
497#97—151no—
498#97—151no—
499#97—151no—
500C2×C3×C5—42no—
501C2×C3×C5C2×C4×D411yescharacteristic
502C2×C3×C5#57511yescharacteristic
503C2×C3×C5#57511yescharacteristic
504C5×D3—22no—
505C5×D3—42no—
506C23×C3—21no—
507C22×D3—21no—
508C22×D3D4×D511yescharacteristic
509C3×Q8—21no—
510C3×Q8C22×Dic512yes—
511C3×D4—21no—
512C3×D4C22×Dic512yes—
513C2×C3×C4—21no—
514C2×C3×C4—51no—
515C2×C3×C4—51no—
516C2×C3×C4—101no—
517C2×C3×C4—101no—
518C2×C3×C4—202no—
519C2×C3×C4C23×D511yescharacteristic
520#67—24no—
521C2×Dic3—21no—
522C2×Dic3—24no—
523C2×Dic3—51no—
524C2×Dic3—51no—
525C2×Dic3—101no—
526C2×Dic3—101no—
527C2×Dic3—202no—
528C2×Dic3D4×D511yescharacteristic
529D12—24no—
530D12—21no—
531D12C22×Dic512yes—
532C4×D3—24no—
533C4×D3—201no—
534C4×D3—201no—
535C4×D3—202no—
536C4×D3—202no—
537C4×D3#71112yes—
538C4×D3C22×Dic512yes—
539Dic6—21no—
540Dic6C22×Dic512yes—
541C3×C8—101no—
542C3×C8C22×Dic512yes—
543C3⋊C8—101no—
544C3⋊C8C22×Dic512yes—
545C22×C5—22no—
546C22×C5—32no—
547C22×C5—41no—
548C22×C5—41no—
549C22×C5—61no—
550C22×C5—61no—
551C22×C5—62no—
552C22×C5—121no—
553C22×C5—121no—
554C22×C5C2×D3×D411yescharacteristic
555C4×C5—22no—
556C4×C5—32no—
557C4×C5—62no—
558C4×C5C22×C4×D311yescharacteristic
559C4×C5D3×#4111yescharacteristic
560Dic5—21no—
561Dic5—21no—
562Dic5—41no—
563Dic5—41no—
564Dic5—61no—
565Dic5—61no—
566Dic5—121no—
567Dic5—121no—
568#41—34no—
569#41—34no—
570#41—62no—
571#41—62no—
572C2×Q8—31no—
573C2×Q8C2×D3×D511yescharacteristic
574C2×D4—31no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4C2×D3×D511yescharacteristic
578C22×C4—31no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4—101no—
582C22×C4—151no—
583C22×C4—151no—
584C22×C4—301no—
585C22×C4—301no—
586C22×C4—301no—
587Q16—34no—
588SD16—34no—
589SD16D3×Dic514yescomplemented
590D8—34no—
591C2×C8—31no—
592C2×C8—34no—
593C2×C8—51no—
594C2×C8—151no—
595C2×C8—302no—
596C2×C8C2×D3×D511yescharacteristic
597C4⋊C4—51no—
598C4⋊C4—51no—
599C4⋊C4—101no—
600C4⋊C4—151no—
601C4⋊C4—151no—
602C4⋊C4—301no—
603C4⋊C4—301no—
604C4⋊C4—301no—
605C22⋊C4—101no—
606C22⋊C4—301no—
607C22⋊C4—301no—
608C22⋊C4—301no—
609C22⋊C4—301no—
610C22⋊C4—301no—
611C42—51no—
612C42—101no—
613C42—151no—
614C42—151no—
615C42—151no—
616C42—301no—
617C42—301no—
618C42—301no—
619C42—301no—
620C42—301no—
621C3×C5#294311yescharacteristic, complemented, Hall
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3C2×D4×D511yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—22no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3D4×Dic512yes—
632C3×C4—22no—
633C3×C4—101no—
634C3×C4—101no—
635C3×C4—201no—
636C3×C4—201no—
637C3×C4C2×#71111yescharacteristic
638C3×C4C23×Dic511yescharacteristic
639Dic3—22no—
640Dic3—101no—
641Dic3—101no—
642Dic3—201no—
643Dic3—201no—
644Dic3D4×Dic512yes—
645C2×C5—42no—
646C2×C5—62no—
647C2×C5—122no—
648C2×C5C4×D3×D411yescharacteristic
649C2×C5#577311yescharacteristic
650C2×C5#577711yescharacteristic
651C23—21no—
652C23—31no—
653C23—61no—
654Q8—21no—
655Q8—32no—
656Q8—61no—
657Q8C2×D3×Dic512yes—
658D4—21no—
659D4—32no—
660D4—64no—
661D4—64no—
662D4—61no—
663D4C2×D3×Dic512yes—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—32no—
667C2×C4—32no—
668C2×C4—51no—
669C2×C4—51no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—61no—
673C2×C4—101no—
674C2×C4—101no—
675C2×C4—151no—
676C2×C4—151no—
677C2×C4—202no—
678C2×C4—301no—
679C2×C4—301no—
680C2×C4—601no—
681C2×C4—601no—
682C2×C4—602no—
683C2×C4—602no—
684C2×C4—602no—
685C2×C4C22×D3×D511yescharacteristic
686C8—32no—
687C8—101no—
688C8—301no—
689C8C2×D3×Dic512yes—
690C2×C3—42no—
691C2×C3#6610211yescharacteristic
692C2×C3#6610211yescharacteristic
693C2×C3C2×D4×Dic511yescharacteristic
694D3—22no—
695D3—42no—
696C5#7977211yescharacteristic, complemented, Sylow
697C22—22no—
698C22—32no—
699C22—41no—
700C22—41no—
701C22—61no—
702C22—61no—
703C22—62no—
704C22—121no—
705C22—121no—
706C22D3×D4×D511yescharacteristic
707C4—22no—
708C4—32no—
709C4—62no—
710C4—101no—
711C4—101no—
712C4—201no—
713C4—201no—
714C4—301no—
715C4—301no—
716C4—601no—
717C4—601no—
718C4D3×#71111yescharacteristic
719C4C22×D3×Dic511yescharacteristic
720C3#1061562811yescharacteristic, complemented, Sylow
721C2—42no—
722C2—62no—
723C2—122no—
724C2#1175407311yescharacteristic
725C2#1175407511yescharacteristic
726C2D3×D4×Dic511yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×SD16C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×#916C2
cosocleC2×C3×C4×C5C24
hypercenterC2×SD16D3×D5
hypocenterC3×C5#2943
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×SD16

Complements

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

NH ≅ G/Ntype
2. Dic5×#239C2semidirect
3. Dic5×#237C2semidirect
4. #11751265C2semidirect
5. C3×#65453C2semidirect
6. #11749266C2semidirect
7. #11749247C2semidirect
8. #11749211C2semidirect
9. #11748996C2semidirect
10. #11748977C2semidirect
11. #11748965C2semidirect
12. #11747816C2semidirect
13. #11747769C2semidirect
14. #11747682C2semidirect
15. D3×#3947C2semidirect
24. C5×#916C4semidirect
72. #65453D3semidirect
83. C5×#239C2×C4semidirect
85. C5×#237C2×C4semidirect
96. C3×C5×SD16C2×C4semidirect
105. C5×#216C2×C4semidirect
106. C5×#213C2×C4semidirect
108. C5×#204C2×C4semidirect
109. C5×D3×C8C2×C4semidirect
240. #916Dic5semidirect
294. C5×SD16C4×D3semidirect
371. #239C2×Dic5semidirect
373. #237C2×Dic5semidirect
383. C3×SD16C2×Dic5semidirect
393. #216C2×Dic5semidirect
394. #213C2×Dic5semidirect
414. #204C2×Dic5semidirect
416. D3×C8C2×Dic5semidirect
589. SD16D3×Dic5semidirect
621. C3×C5#2943semidirect
696. C5#79772semidirect
720. C3#10615628semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#9162
Dic5×#2392
Dic5×#2372
#117512652
C3×#654532
#117492662
#117492472
#117492112
#117489962
#117489772
#117489652
#117478162
#117477692
#117476822
D3×#39472
#106156283
#797725