Finite Group Databasebeta

← #14417022

Subgroups — #14417022

Order 1920.

1012 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11754910C211yesmaximal, characteristic, complemented
2C2×#91491C211yesmaximal, characteristic
3#11753336C211yesmaximal, characteristic, complemented
4#11750857C211yesmaximal, characteristic, complemented
5C5×#4758C211yesmaximal, characteristic, complemented
6C3×D5×#102C211yesmaximal, characteristic, complemented
7#11749020C211yesmaximal, characteristic, complemented
8#11748989C211yesmaximal, characteristic, complemented
9#11747740C211yesmaximal, characteristic, complemented
10#11747735C211yesmaximal, characteristic, complemented
11#11747645C211yesmaximal, characteristic, complemented
12#11747642C211yesmaximal, characteristic, complemented
13#11747453C211yesmaximal, characteristic, complemented
14#11747229C211yesmaximal, characteristic, complemented
15#11747222C211yesmaximal, characteristic, complemented
16#10611378—31nomaximal, Hall
17C2×C3×D4×D5C2211yescharacteristic
18C2×#6773C2211yescharacteristic
19D4×Dic15C2211yescharacteristic
20C2×#6715C2211yescharacteristic
21#91782C2211yescharacteristic, complemented
22C5×D4×Dic3C2211yescharacteristic
23C2×C5×#214C2211yescharacteristic
24C5×#887C2211yescharacteristic, complemented
25C2×C3×C8×D5C2211yescharacteristic
26C3×D5×C4⋊C4C2211yescharacteristic
27#91559—21no—
28Dic3×C22⋊D5—21no—
29D5×#217—21no—
30C2×#6665—21no—
31#91491C418yescomplemented
32#91444—21no—
33C4×#1202—21no—
34#91434C2211yescharacteristic
35#91428C2211yescharacteristic, complemented
36Dic3×D20C2211yescharacteristic
37#91404—21no—
38#91403—21no—
39#91358C2211yescharacteristic
40#91357C2211yescharacteristic
41#91344C2211yescharacteristic, complemented
42C2×#6655C2211yescharacteristic
43C2×#6653C2211yescharacteristic
44C2×#6649C2211yescharacteristic
45C3×C5×#102C2211yescharacteristic
46#91105C2211yescharacteristic, complemented
47C8×Dic15C2211yescharacteristic, complemented
48#91091C2211yescharacteristic, complemented
49C5×#816C2211yescharacteristic, complemented
50C5×C8×Dic3C2211yescharacteristic, complemented
51C5×#808C2211yescharacteristic, complemented
52C3×#3964C2211yescharacteristic
53C3×#3953C2211yescharacteristic
54C3×#3941C2211yescharacteristic
55#90990C2211yescharacteristic, complemented
56#90986C2211yescharacteristic, complemented
57#90973C2211yescharacteristic, complemented
58#90969C2211yescharacteristic, complemented
59#90954C2211yescharacteristic, complemented
60#90953C2211yescharacteristic, complemented
61#78726—51nomaximal, Hall
62C2×#4060—31no—
63#65908—31no—
64#65879—31no—
65C4×C5×SD16—31no—
66#65453—31no—
67#65315—31no—
68#65303—31no—
69#65158—31no—
70#65150—31no—
71#65093—31no—
72#65077—31no—
73D5×#102D311yescharacteristic, complemented
74#65045—31no—
75C4×D40—31no—
76#64978—31no—
77C23×C3×D5—21no—
78C2×C3×C5×D4C2311yescharacteristic
79C22×Dic15—21no—
80C2×D60C2311yescharacteristic
81C2×C4×D15—21no—
82C22×C5×Dic3—21no—
83C2×C5×Dic6C2311yescharacteristic
84C2×C3×C22⋊D5—21no—
85C3×D4×D5—22no—
86C3×D4×D5C2×C414yescomplemented
87C2×C3×D20C2311yescharacteristic
88C2×C3×C4×D5—21no—
89C2×C3×C4×D5C2311yescharacteristic
90C2×#1202—21no—
91C2×#1200—21no—
92C2×#1200—21no—
93C2×D5×Dic3—21no—
94C2×D5×Dic3—21no—
95#6773—22no—
96#6773C2×C414yescomplemented
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4C2311yescharacteristic
99#6719—21no—
100#6715C2×C414yescomplemented
101#6714—21no—
102C4⋊Dic15C2311yescharacteristic
103C4×Dic15C2311yescharacteristic
104C2×C3⋊#168C2311yescharacteristic
105C5×#217—21no—
106C5×#214C2×C414yescomplemented
107C5×C4⋊Dic3C2311yescharacteristic
108C5×Dic3⋊C4—21no—
109C4×C5×Dic3—21no—
110C4×C5×Dic3C2311yescharacteristic
111C2×C5×C3⋊C8C2311yescharacteristic
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C2×C3×#168C2311yescharacteristic
115C3×C8×D5—22no—
116Dic3⋊Dic5—21no—
117#6668D411yescharacteristic
118#6668D411yescharacteristic
119#6667—21no—
120#6665—21no—
121#6665—21no—
122#6665—21no—
123#6665D411yescharacteristic
124#6665D411yescharacteristic
125Dic3×Dic5—21no—
126Dic3×Dic5—21no—
127#6655C2×C414yescomplemented
128#6653C2×C414yescomplemented
129#6649C2×C414yescomplemented
130#5798—51no—
131C2×#932—51no—
132#5504—51no—
133C2×C3×#102—51no—
134#5113—51no—
135#5101—51no—
136#4964—51no—
137#4785—51no—
138#4785—51no—
139#4758—51no—
140#4758D511yescharacteristic, complemented
141#4757—51no—
142#4757—51no—
143#4756—51no—
144#4756—51no—
145C2×#713—31no—
146C2×D4×D5C2×D311yescharacteristic
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150Q8×Dic5—31no—
151C2×#688—31no—
152D4×Dic5—31no—
153C2×#686—31no—
154C4×C22⋊D5—61no—
155C2×#685—61no—
156#4060—38no—
157C2×D40—31no—
158C2×#676—31no—
159C2×C8×D5C2×D311yescharacteristic
160#4039—31no—
161#4039—31no—
162#4039—61no—
163#4038—31no—
164D5×C4⋊C4—61no—
165D5×C4⋊C4C2×D311yescharacteristic
166#4027—61no—
167D5×C22⋊C4—61no—
168C4×D20—31no—
169C4×D20—31no—
170C4×D20—61no—
171#4018—31no—
172#4018—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#102C2×D311yescharacteristic
176C4×C5×C8—31no—
177#3967—31no—
178#3964C2×D311yescharacteristic
179#3953—31no—
180#3953C2×D311yescharacteristic
181#3950—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3941—31no—
185#3941C2×D311yescharacteristic
186#3940—31no—
187#3939—31no—
188#3935—31no—
189#2946—151noSylow
190C23×C3×C5—21no—
191C22×D15—21no—
192C22×C3×D5—21no—
193C22×C3×D5—24no—
194C22×C3×D5—81no—
195C22×C3×D5—81no—
196C22×C3×D5C2×D411yescharacteristic
197C3×C5×D4—21no—
198C3×C5×D4C22×C412yes—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15—21no—
202C2×Dic15—81no—
203C2×Dic15C2×D411yescharacteristic
204C2×Dic15C2×D411yescharacteristic
205D60—21no—
206D60C22×C412yes—
207C4×D15—81no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—21no—
210C2×C5×Dic3—81no—
211C2×C5×Dic3C2×D411yescharacteristic
212C2×C5×Dic3C2×D411yescharacteristic
213C5×Dic6—21no—
214C5×Dic6C22×C412yes—
215C3×C22⋊D5—24no—
216C2×C3×Dic5—21no—
217C2×C3×Dic5C2×D411yescharacteristic
218C3×D20—21no—
219C3×D20C22×C412yes—
220C3×C4×D5—81no—
221C3×C4×D5C22×C412yes—
222C3×C4×D5#4112yes—
223#1202—24no—
224#1200—24no—
225#1200—81no—
226D5×Dic3—81no—
227D5×Dic3—81no—
228C3×C5×C8—21no—
229C3⋊#168C22×C412yes—
230C3×#168—21no—
231C5×C3⋊C8C22×C412yes—
232C22×C3×D4—51no—
233C2×#235—51no—
234C22×C3×C8—51no—
235C2×C3×C4⋊C4—51no—
236C2×#217—101no—
237C2×#217—101no—
238D4×Dic3—51no—
239D4×Dic3—51no—
240D4×Dic3—51no—
241D4×Dic3—101no—
242D4×Dic3—101no—
243D4×Dic3C2×D511yescharacteristic
244C2×#214—51no—
245C2×#214C2×D511yescharacteristic
246#932—58no—
247C2×#213—51no—
248C2×#213—51no—
249C4×#67—101no—
250C4×#67—101no—
251#926—51no—
252#926—51no—
253C2×#208—51no—
254#893—51no—
255#893—51no—
256#892—101no—
257D3×C4⋊C4—101no—
258#887—51no—
259#887C2×D511yescharacteristic, complemented
260C3×#102—51no—
261C3×#102—51no—
262C3×#102—51no—
263C3×#102C2×D511yescharacteristic
264#821—51no—
265#821—51no—
266#816—51no—
267#816C2×D511yescharacteristic, complemented
268#815—51no—
269#815—51no—
270C8×Dic3—51no—
271C8×Dic3C2×D511yescharacteristic, complemented
272#808—51no—
273#808C2×D511yescharacteristic, complemented
274#807—51no—
275#807—51no—
276C23×D5—21no—
277C2×C5×Q8—31no—
278C2×C5×D4C22×D311yescharacteristic
279C22×C4×C5—61no—
280C2×C22⋊D5—21no—
281C22×Dic5—61no—
282#713—34no—
283#713—62no—
284D4×D5—22no—
285D4×D5C4×D314yescomplemented
286C2×D20—31no—
287C2×D20—61no—
288C2×D20C22×D311yescharacteristic
289C2×C4×D5—21no—
290C2×C4×D5—61no—
291C2×C4×D5—61no—
292C2×C4×D5—61no—
293C2×C4×D5—61no—
294C2×C4×D5—61no—
295C2×C4×D5C22×D311yescharacteristic
296C5×SD16—34no—
297C2×C5×C8—31no—
298C2×C5×C8C22×D311yescharacteristic
299C5×C4⋊C4—31no—
300C5×C4⋊C4—61no—
301C5×C4⋊C4C22×D311yescharacteristic
302C5×C22⋊C4—61no—
303C42×C5—31no—
304C42×C5—61no—
305C22⋊Dic5—61no—
306#688—34no—
307#686—34no—
308#685—31no—
309#685—31no—
310#685—61no—
311#685—61no—
312#685—61no—
313#685—61no—
314#685—61no—
315C4⋊Dic5—31no—
316C4⋊Dic5—61no—
317C4⋊Dic5C22×D311yescharacteristic
318#683—21no—
319#683—31no—
320#683—31no—
321C4×Dic5—31no—
322C4×Dic5—61no—
323C4×Dic5—61no—
324C2×#168—31no—
325C2×#168C22×D311yescharacteristic
326D40—34no—
327#676—34no—
328C8×D5—22no—
329C2×AGL(1,ℤ/8)—151no—
330#520—151no—
331#518—151no—
332#442—151no—
333#442—151no—
334#440—151no—
335#440—151no—
336C4×SD16—31no—
337C4×SD16—151no—
338C4×D8—151no—
339C4×D8—151no—
340#428—151no—
341#416—151no—
342C2×#102—51no—
343#405—151no—
344C22×C3×C5—22no—
345C22×C3×C5—41no—
346C22×C3×C5—41no—
347C22×C3×C5C22×D411yescharacteristic
348C2×D15—22no—
349C2×D15—41no—
350C2×D15—41no—
351C2×C3×D5—21no—
352C2×C3×D5—21no—
353C2×C3×D5—22no—
354C2×C3×D5—41no—
355C2×C3×D5—41no—
356C2×C3×D5—84no—
357C2×C3×D5C4×D412yes—
358C3×C4×C5—41no—
359C3×C4×C5C23×C411yescharacteristic
360C3×C4×C5C2×#4111yescharacteristic
361Dic15—21no—
362Dic15—21no—
363Dic15—41no—
364C3×Dic5—41no—
365C3×Dic5C4×D412yes—
366C5×Dic3—22no—
367C5×Dic3—21no—
368C5×Dic3—21no—
369C5×Dic3—41no—
370C24×C3—101no—
371C2×C3×D4—54no—
372C2×C3×D4—51no—
373C2×C3×D4—102no—
374C2×C3×D4—101no—
375C2×C3×D4C22×D511yescharacteristic
376C22×C3×C4—51no—
377C22×C3×C4—101no—
378C2×#67—101no—
379C22×Dic3—21no—
380C22×Dic3—101no—
381C22×Dic3—101no—
382C22×Dic3—101no—
383#235—54no—
384#235—102no—
385C2×D12—51no—
386C2×C4×D3—101no—
387C2×C4×D3—101no—
388C2×C4×D3—101no—
389C2×Dic6C22×D511yescharacteristic
390C2×C3×C8—51no—
391C2×C3×C8—102no—
392C2×C3×C8C22×D511yescharacteristic
393C3×C4⋊C4—51no—
394C3×C4⋊C4—101no—
395C3×C4⋊C4C22×D511yescharacteristic
396#217—21no—
397#217—51no—
398#217—51no—
399#217—101no—
400#217—101no—
401#217—101no—
402#217—101no—
403#214—54no—
404#214C4×D514yescomplemented
405#213—54no—
406#213—54no—
407(C2×D3)⋊C4—101no—
408(C2×D3)⋊C4—101no—
409C4⋊Dic3—51no—
410C4⋊Dic3—51no—
411C4⋊Dic3—51no—
412C4⋊Dic3C22×D511yescharacteristic
413Dic3⋊C4—21no—
414Dic3⋊C4—101no—
415C4×Dic3—21no—
416C4×Dic3—51no—
417C4×Dic3—101no—
418C4×Dic3—101no—
419C4×Dic3C22×D511yescharacteristic
420#208—54no—
421C2×C3⋊C8—51no—
422C2×C3⋊C8C22×D511yescharacteristic
423C23×C5—21no—
424C22×D5—21no—
425C22×D5—24no—
426C22×D5—61no—
427C22×D5—81no—
428C22×D5—81no—
429C22×D5D3×D411yescharacteristic
430C5×Q8—32no—
431C5×Q8—61no—
432C5×D4—21no—
433C5×D4C2×C4×D312yes—
434C2×C4×C5—21no—
435C2×C4×C5—31no—
436C2×C4×C5—31no—
437C2×C4×C5—61no—
438C2×C4×C5—61no—
439C2×C4×C5—241no—
440C2×C4×C5C23×D311yescharacteristic
441C22⋊D5—24no—
442C2×Dic5—21no—
443C2×Dic5—31no—
444C2×Dic5—31no—
445C2×Dic5—61no—
446C2×Dic5—241no—
447C2×Dic5D3×D411yescharacteristic
448D20—21no—
449D20—32no—
450D20—64no—
451D20—61no—
452D20C2×C4×D312yes—
453C4×D5—64no—
454C4×D5—81no—
455C4×D5—241no—
456C4×D5—241no—
457C4×D5—241no—
458C4×D5—241no—
459C4×D5C2×C4×D312yes—
460C4×D5#23712yes—
461C5×C8—21no—
462C5×C8—32no—
463#168—21no—
464#168—32no—
465C2×#41—151no—
466C22×D4—51no—
467AGL(1,ℤ/8)—158no—
468C2×SD16—31no—
469C2×SD16—151no—
470C2×D8—151no—
471C2×D8—151no—
472C2×M16—151no—
473C22×C8—51no—
474C4×Q8—31no—
475C4×Q8—151no—
476C4×D4—31no—
477C4×D4—151no—
478C4×D4—151no—
479C4×D4—151no—
480C4×D4—151no—
481C4×D4—151no—
482C4×D4—301no—
483C4×D4—301no—
484C4×D4—301no—
485C4×D4—301no—
486#117—151no—
487#117—151no—
488#117—301no—
489C2×C4⋊C4—51no—
490C2×C4⋊C4—301no—
491C2×C22⋊C4—301no—
492C2×C22⋊C4—301no—
493#107—151no—
494#107—151no—
495#106—31no—
496#106—151no—
497#103—31no—
498#103—151no—
499#102—51no—
500#102—51no—
501#102—51no—
502#102—151no—
503#102—151no—
504#102D3×D511yescharacteristic
505#97—151no—
506#97—151no—
507C4×C8—31no—
508C4×C8—151no—
509C2×C3×C5—42no—
510C2×C3×C5C2×C4×D411yescharacteristic
511C2×C3×C5#57611yescharacteristic
512C2×C3×C5#57711yescharacteristic
513D15—42no—
514C3×D5—22no—
515C3×D5—42no—
516C23×C3—21no—
517C23×C3—51no—
518C23×C3—104no—
519C23×C3—101no—
520C23×C3—401no—
521C23×C3—401no—
522C22×D3—101no—
523C3×D4—21no—
524C3×D4—52no—
525C3×D4—104no—
526C3×D4—101no—
527C3×D4C2×C4×D512yes—
528C2×C3×C4—21no—
529C2×C3×C4—51no—
530C2×C3×C4—52no—
531C2×C3×C4—52no—
532C2×C3×C4—101no—
533C2×C3×C4—401no—
534C2×C3×C4C23×D511yescharacteristic
535#67—104no—
536C2×Dic3—21no—
537C2×Dic3—21no—
538C2×Dic3—51no—
539C2×Dic3—51no—
540C2×Dic3—81no—
541C2×Dic3—101no—
542C2×Dic3—401no—
543C2×Dic3—401no—
544C2×Dic3—401no—
545C2×Dic3D4×D511yescharacteristic
546C2×Dic3D4×D511yescharacteristic
547D12—52no—
548D12—101no—
549C4×D3—104no—
550C4×D3—401no—
551C4×D3—401no—
552Dic6—21no—
553Dic6C2×C4×D512yes—
554C3×C8—21no—
555C3×C8—101no—
556C3⋊C8—52no—
557C3⋊C8C2×C4×D512yes—
558C22×C5—22no—
559C22×C5—41no—
560C22×C5—41no—
561C22×C5C2×D3×D411yescharacteristic
562C2×D5—21no—
563C2×D5—21no—
564C2×D5—22no—
565C2×D5—41no—
566C2×D5—41no—
567C2×D5—62no—
568C2×D5—84no—
569C2×D5—121no—
570C2×D5—121no—
571C2×D5#67⋊C412yes—
572C4×C5—41no—
573C4×C5—62no—
574C4×C5—61no—
575C4×C5—61no—
576C4×C5—121no—
577C4×C5C22×C4×D311yescharacteristic
578C4×C5C2×#23711yescharacteristic
579Dic5—41no—
580Dic5—61no—
581Dic5—61no—
582Dic5—121no—
583Dic5#67⋊C412yes—
584C24—101no—
585#41—154no—
586#41—302no—
587C2×Q8—31no—
588C2×D4—54no—
589C2×D4—51no—
590C2×D4—102no—
591C2×D4—101no—
592C2×D4—151no—
593C2×D4—301no—
594C2×D4C2×D3×D511yescharacteristic
595C22×C4—51no—
596C22×C4—61no—
597C22×C4—101no—
598C22×C4—301no—
599C22×C4—301no—
600C22×C4—301no—
601C22×C4—301no—
602C22×C4—301no—
603C22×C4—301no—
604SD16—34no—
605SD16—154no—
606D8—154no—
607D8—154no—
608M16—154no—
609C2×C8—31no—
610C2×C8—51no—
611C2×C8—102no—
612C2×C8—151no—
613C2×C8C2×D3×D511yescharacteristic
614C4⋊C4—31no—
615C4⋊C4—51no—
616C4⋊C4—61no—
617C4⋊C4—101no—
618C4⋊C4—151no—
619C4⋊C4—151no—
620C4⋊C4—151no—
621C4⋊C4—301no—
622C4⋊C4C2×D3×D511yescharacteristic
623C22⋊C4—61no—
624C22⋊C4—151no—
625C22⋊C4—151no—
626C22⋊C4—301no—
627C22⋊C4—301no—
628C22⋊C4—301no—
629C22⋊C4—301no—
630C22⋊C4—301no—
631C22⋊C4—301no—
632C42—31no—
633C42—61no—
634C42—151no—
635C42—301no—
636C42—301no—
637C3×C5#294611yescharacteristic, complemented, Hall
638C22×C3—22no—
639C22×C3—41no—
640C22×C3—41no—
641C22×C3—52no—
642C22×C3—101no—
643C22×C3—101no—
644C22×C3—102no—
645C22×C3—201no—
646C22×C3—201no—
647C22×C3—404no—
648C22×C3C2×D4×D511yescharacteristic
649C2×D3—102no—
650C2×D3—201no—
651C2×D3—201no—
652C3×C4—41no—
653C3×C4—52no—
654C3×C4—201no—
655C3×C4C22×C4×D511yescharacteristic
656C3×C4D5×#4111yescharacteristic
657Dic3—21no—
658Dic3—21no—
659Dic3—22no—
660Dic3—41no—
661Dic3—101no—
662Dic3—101no—
663Dic3—201no—
664C2×C5—42no—
665C2×C5C2×#67⋊C411yescharacteristic
666C2×C5#575711yescharacteristic
667C2×C5#576211yescharacteristic
668D5—22no—
669D5—42no—
670D5—122no—
671C23—21no—
672C23—51no—
673C23—104no—
674C23—101no—
675C23—301no—
676C23—401no—
677C23—401no—
678Q8—32no—
679Q8—61no—
680D4—21no—
681D4—52no—
682D4—104no—
683D4—101no—
684D4—152no—
685D4—304no—
686D4—301no—
687D4C4×D3×D512yes—
688C2×C4—21no—
689C2×C4—31no—
690C2×C4—31no—
691C2×C4—51no—
692C2×C4—52no—
693C2×C4—52no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—101no—
697C2×C4—151no—
698C2×C4—151no—
699C2×C4—241no—
700C2×C4—304no—
701C2×C4—301no—
702C2×C4—401no—
703C2×C4—1201no—
704C2×C4—1201no—
705C2×C4—1201no—
706C2×C4—1201no—
707C2×C4—1201no—
708C2×C4C22×D3×D511yescharacteristic
709C8—21no—
710C8—32no—
711C8—101no—
712C8—152no—
713C2×C3—42no—
714C2×C3—102no—
715C2×C3—202no—
716C2×C3C4×D4×D511yescharacteristic
717C2×C3#6609611yescharacteristic
718C2×C3#6610311yescharacteristic
719D3—202no—
720C5#7872611yescharacteristic, complemented, Sylow
721C22—22no—
722C22—41no—
723C22—41no—
724C22—52no—
725C22—101no—
726C22—101no—
727C22—102no—
728C22—201no—
729C22—201no—
730C22—302no—
731C22—404no—
732C22—601no—
733C22—601no—
734C22D3×D4×D511yescharacteristic
735C4—41no—
736C4—52no—
737C4—61no—
738C4—61no—
739C4—62no—
740C4—121no—
741C4—201no—
742C4—301no—
743C4—301no—
744C4—601no—
745C4C2×C4×D3×D511yescharacteristic
746C4D5×#23711yescharacteristic
747C3#1061137811yescharacteristic, complemented, Sylow
748C2—42no—
749C2—102no—
750C2—202no—
751C2—602no—
752C2D5×#67⋊C411yescharacteristic
753C2#1175405811yescharacteristic
754C2#1175408011yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#102C22
socleC22×C3×C5C22×D4
prime radicalC2×#91491C2
cosocleC2×C3×C4×C5C24
hypercenter#102D3×D5
hypocenterC3×C5#2946
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #11754910C2semidirect
3. #11753336C2semidirect
4. #11750857C2semidirect
5. C5×#4758C2semidirect
6. C3×D5×#102C2semidirect
7. #11749020C2semidirect
8. #11748989C2semidirect
9. #11747740C2semidirect
10. #11747735C2semidirect
11. #11747645C2semidirect
12. #11747642C2semidirect
13. #11747453C2semidirect
14. #11747229C2semidirect
15. #11747222C2semidirect
21. #91782C22semidirect
24. C5×#887C22semidirect
31. #91491C4semidirect
35. #91428C22semidirect
41. #91344C22semidirect
46. #91105C22semidirect
47. C8×Dic15C22semidirect
48. #91091C22semidirect
49. C5×#816C22semidirect
50. C5×C8×Dic3C22semidirect
51. C5×#808C22semidirect
55. #90990C22semidirect
56. #90986C22semidirect
57. #90973C22semidirect
58. #90969C22semidirect
59. #90954C22semidirect
60. #90953C22semidirect
73. D5×#102D3semidirect
86. C3×D4×D5C2×C4semidirect
96. #6773C2×C4semidirect
100. #6715C2×C4semidirect
106. C5×#214C2×C4semidirect
127. #6655C2×C4semidirect
128. #6653C2×C4semidirect
129. #6649C2×C4semidirect
140. #4758D5semidirect
259. #887C2×D5semidirect
267. #816C2×D5semidirect
271. C8×Dic3C2×D5semidirect
273. #808C2×D5semidirect
285. D4×D5C4×D3semidirect
404. #214C4×D5semidirect
637. C3×C5#2946semidirect
720. C5#78726semidirect
747. C3#10611378semidirect

Maximal subgroups

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

subgroupindex
#117549102
C2×#914912
#117533362
#117508572
C5×#47582
C3×D5×#1022
#117490202
#117489892
#117477402
#117477352
#117476452
#117476422
#117474532
#117472292
#117472222
#106113783
#787265