Finite Group Databasebeta

← #12109596

Subgroups — #12109596

Order 1280.

1010 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2311C211yesmaximal, characteristic
2#10615818C211yesmaximal, characteristic
3C2×#65523C211yesmaximal, characteristic
4#10602369C211yesmaximal, characteristic, complemented
5#10602369C211yesmaximal, characteristic, complemented
6#10602349C211yesmaximal, characteristic, complemented
7#10602348C211yesmaximal, characteristic, complemented
8#10600306C211yesmaximal, characteristic, complemented
9#10600306C211yesmaximal, characteristic, complemented
10#10600305C211yesmaximal, characteristic, complemented
11#10600304C211yesmaximal, characteristic, complemented
12#10600299C211yesmaximal, characteristic, complemented
13#10600299C211yesmaximal, characteristic, complemented
14#10600298C211yesmaximal, characteristic, complemented
15#10600297C211yesmaximal, characteristic, complemented
16C22×C5×#41C2211yescharacteristic
17C2×C5×#117C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C2×#4072C2211yescharacteristic
20C22×C4⋊Dic5C2211yescharacteristic
21C22×#681C2211yescharacteristic
22C23×#168C2211yescharacteristic
23C5×#391—21no—
24C5×#390—21no—
25C5×#386—21no—
26C5×#386—21no—
27C5×#380C2211yescharacteristic
28C5×#380C2211yescharacteristic
29C5×#380C2211yescharacteristic
30C5×#380C2211yescharacteristic
31#65523C418yescomplemented
32#65519—21no—
33#65510—21no—
34#65509—21no—
35#65509—21no—
36#65501C2211yescharacteristic
37#65501C2211yescharacteristic
38#65501C2211yescharacteristic
39#65501C2211yescharacteristic
40C2×C22⋊#168C2211yescharacteristic
41C2×C22⋊#168C2211yescharacteristic
42C2×C22⋊#168C2211yescharacteristic
43C2×C22⋊#168C2211yescharacteristic
44C2×#3940C2211yescharacteristic
45C2×#3940C2211yescharacteristic
46C2×#3940C2211yescharacteristic
47C2×#3940C2211yescharacteristic
48C2×#3939C2211yescharacteristic
49C2×#3939C2211yescharacteristic
50C2×#3939C2211yescharacteristic
51C2×#3939C2211yescharacteristic
52#64749C2211yescharacteristic
53#64749C2211yescharacteristic
54#64749C2211yescharacteristic
55#64749C2211yescharacteristic
56#64749C2211yescharacteristic
57#64749C2211yescharacteristic
58#64749C2211yescharacteristic
59#64749C2211yescharacteristic
60#21945—51nomaximal, Sylow
61C2×C5×#41—41no—
62C2×C5×#41—41no—
63C2×C5×#41—41no—
64C2×C5×#41—41no—
65C2×C5×#41C2×C414yes—
66C2×C5×#41Q814yes—
67C22×C5×Q8D411yescharacteristic
68C22×C5×D4D411yescharacteristic
69C22×C5×D4D411yescharacteristic
70C22×C5×D4D411yescharacteristic
71C23×C4×C5—21no—
72C23×C4×C5C2311yescharacteristic
73C23×C4×C5C2311yescharacteristic
74C23×C4×C5C2311yescharacteristic
75C23×Dic5—21no—
76C5×#117—41no—
77C5×#117—41no—
78C2×C5×C4⋊C4—21no—
79C2×C5×C4⋊C4—41no—
80C2×C5×C4⋊C4—41no—
81C2×C5×C4⋊C4C2311yescharacteristic
82C2×C5×C4⋊C4C2311yescharacteristic
83C2×C5×C4⋊C4C2311yescharacteristic
84C2×C5×C4⋊C4C2311yescharacteristic
85C2×C5×C22⋊C4—21no—
86C2×C5×C22⋊C4—21no—
87C2×C5×C22⋊C4—21no—
88C2×C5×C22⋊C4—21no—
89C2×C5×C22⋊C4—21no—
90C2×C42×C5—21no—
91C2×C22⋊Dic5—21no—
92C2×C22⋊Dic5—21no—
93C2×C22⋊Dic5—21no—
94C2×C22⋊Dic5—21no—
95C2×C22⋊Dic5—21no—
96#4072—41no—
97#4072—41no—
98C2×C4⋊Dic5—21no—
99C2×C4⋊Dic5—41no—
100C2×C4⋊Dic5—41no—
101C2×C4⋊Dic5C2311yescharacteristic
102C2×C4⋊Dic5C2311yescharacteristic
103C2×C4⋊Dic5C2311yescharacteristic
104C2×C4⋊Dic5C2311yescharacteristic
105C2×C4×Dic5—21no—
106C2×#681—41no—
107C2×#681—41no—
108C2×#681C2×C414yescomplemented
109C22×#168—41no—
110C22×#168—41no—
111C22×#168C2×C414yescomplemented
112C22×#168C2311yescharacteristic
113C22×#168C2311yescharacteristic
114C22×#168C2311yescharacteristic
115C22×#168C2311yescharacteristic
116C5×#95—21no—
117C5×#95—21no—
118C5×#95—21no—
119C5×#95—21no—
120#3963—21no—
121#3963—21no—
122#3963—21no—
123#3963—21no—
124C22⋊#168C2×C414yescomplemented
125C22⋊#168C2×C414yescomplemented
126C22⋊#168C2×C414yescomplemented
127C22⋊#168C2×C414yescomplemented
128#3940—41no—
129#3940—41no—
130#3940—41no—
131#3940—41no—
132#3939—41no—
133#3939—41no—
134#3939—41no—
135#3939—41no—
136C2×#408—51no—
137#2311—51no—
138#2311D511yescharacteristic
139#1854—51no—
140#1854—51no—
141#1854—51no—
142#1854—51no—
143#1853—51no—
144#1853—51no—
145#1852—51no—
146#1852—51no—
147#1809—51no—
148#1809—51no—
149#1808—51no—
150#1807—51no—
151C24×C5C2×D411yescharacteristic
152C24×C5C2×D411yescharacteristic
153C24×C5C2×D411yescharacteristic
154C5×#41—44no—
155C5×#41—44no—
156C5×#41—44no—
157C5×#41—44no—
158C2×C5×Q8—41no—
159C2×C5×Q8—41no—
160C2×C5×Q8C4⋊C414yes—
161C2×C5×D4—41no—
162C2×C5×D4—41no—
163C2×C5×D4—41no—
164C2×C5×D4—41no—
165C2×C5×D4—41no—
166C2×C5×D4—41no—
167C2×C5×D4C4⋊C414yes—
168C2×C5×D4C4⋊C414yes—
169C2×C5×D4C4⋊C414yes—
170C22×C4×C5—21no—
171C22×C4×C5—21no—
172C22×C4×C5—21no—
173C22×C4×C5—21no—
174C22×C4×C5—21no—
175C22×C4×C5—21no—
176C22×C4×C5—21no—
177C22×C4×C5—21no—
178C22×C4×C5—21no—
179C22×C4×C5—21no—
180C22×C4×C5—21no—
181C22×C4×C5—21no—
182C22×C4×C5—21no—
183C22×C4×C5—21no—
184C22×C4×C5—21no—
185C22×C4×C5—21no—
186C22×C4×C5—42no—
187C22×C4×C5—81no—
188C22×C4×C5—81no—
189C22×C4×C5C22×C412yes—
190C22×C4×C5C22×C412yes—
191C22×C4×C5C22×C412yes—
192C22×C4×C5C2×D411yescharacteristic
193C22×C4×C5C2×D411yescharacteristic
194C22×C4×C5C2×D411yescharacteristic
195C22×C4×C5C2×Q812yes—
196C22×C4×C5C2×Q812yes—
197C22×C4×C5C2×Q812yes—
198C22×C4×C5C2411yescharacteristic
199C22×Dic5—21no—
200C22×Dic5—21no—
201C22×Dic5—21no—
202C22×Dic5—21no—
203C22×Dic5—42no—
204C22×Dic5—81no—
205C22×Dic5—81no—
206C5×C4⋊C4—21no—
207C5×C4⋊C4—21no—
208C5×C4⋊C4—21no—
209C5×C4⋊C4—21no—
210C5×C4⋊C4—21no—
211C5×C4⋊C4—21no—
212C5×C4⋊C4—21no—
213C5×C4⋊C4—21no—
214C5×C4⋊C4—42no—
215C5×C22⋊C4—42no—
216C5×C22⋊C4—81no—
217C5×C22⋊C4—81no—
218C5×C22⋊C4—81no—
219C5×C22⋊C4—81no—
220C42×C5—42no—
221C22⋊Dic5—42no—
222C22⋊Dic5—81no—
223C22⋊Dic5—81no—
224C22⋊Dic5—81no—
225C22⋊Dic5—81no—
226C4⋊Dic5—21no—
227C4⋊Dic5—21no—
228C4⋊Dic5—21no—
229C4⋊Dic5—21no—
230C4⋊Dic5—21no—
231C4⋊Dic5—21no—
232C4⋊Dic5—21no—
233C4⋊Dic5—21no—
234C4⋊Dic5—42no—
235C4×Dic5—42no—
236#681—44no—
237C2×#168—21no—
238C2×#168—21no—
239C2×#168—21no—
240C2×#168—21no—
241C2×#168—21no—
242C2×#168—21no—
243C2×#168—21no—
244C2×#168—21no—
245C2×#168—44no—
246C2×#168C22×C412yes—
247C2×#168C22×C412yes—
248C2×#168C22×C412yes—
249C2×#168C22×C412yes—
250C22×#41C2×D511yescharacteristic
251C22×M16—51no—
252C23×C8—51no—
253C2×#117—51no—
254C2×#117C2×D511yescharacteristic
255C22×C4⋊C4—51no—
256C22×C4⋊C4C2×D511yescharacteristic
257C2×#107—51no—
258C2×#107—51no—
259C2×#107—51no—
260C2×#107—51no—
261C2×#106—51no—
262C2×#106—51no—
263C2×#106—51no—
264C2×#106—51no—
265#408—58no—
266C2×C22⋊C8—51no—
267C2×C22⋊C8—51no—
268C2×C22⋊C8—51no—
269C2×C22⋊C8—51no—
270#391—21no—
271#391—101no—
272#390—21no—
273#390—101no—
274#386—21no—
275#386—21no—
276#386—101no—
277#386—101no—
278#380—51no—
279#380—51no—
280#380—51no—
281#380—51no—
282#380C2×D511yescharacteristic
283#380C2×D511yescharacteristic
284#380C2×D511yescharacteristic
285#380C2×D511yescharacteristic
286#340—51no—
287#340—51no—
288#340—51no—
289#340—51no—
290#340—51no—
291#340—51no—
292#340—51no—
293#340—51no—
294C23×C5—21no—
295C23×C5—21no—
296C23×C5—21no—
297C23×C5—21no—
298C23×C5—21no—
299C23×C5—21no—
300C23×C5—21no—
301C23×C5—21no—
302C23×C5—21no—
303C23×C5—21no—
304C23×C5—21no—
305C23×C5—21no—
306C23×C5—21no—
307C23×C5—21no—
308C23×C5—21no—
309C23×C5—21no—
310C23×C5—21no—
311C23×C5—21no—
312C23×C5C2×C4⋊C412yes—
313C23×C5C2×C4⋊C412yes—
314C23×C5C2×C4⋊C412yes—
315C23×C5C22×D411yescharacteristic
316C5×Q8—44no—
317C5×D4—44no—
318C5×D4—44no—
319C5×D4—44no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
322C2×C4×C5—21no—
323C2×C4×C5—21no—
324C2×C4×C5—21no—
325C2×C4×C5—21no—
326C2×C4×C5—22no—
327C2×C4×C5—22no—
328C2×C4×C5—22no—
329C2×C4×C5—22no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—41no—
339C2×C4×C5—41no—
340C2×C4×C5—41no—
341C2×C4×C5—41no—
342C2×C4×C5—41no—
343C2×C4×C5—41no—
344C2×C4×C5—41no—
345C2×C4×C5—41no—
346C2×C4×C5—41no—
347C2×C4×C5—41no—
348C2×C4×C5—41no—
349C2×C4×C5—41no—
350C2×C4×C5—84no—
351C2×C4×C5C2×C4⋊C412yes—
352C2×C4×C5C2×C4⋊C412yes—
353C2×C4×C5C2×C4⋊C412yes—
354C2×C4×C5C23×C411yescharacteristic
355C2×C4×C5C22×Q811yescharacteristic
356C2×C4×C5H(5,𝔽2)11yescharacteristic
357C2×C4×C5H(5,𝔽2)11yescharacteristic
358C2×C4×C5H(5,𝔽2)11yescharacteristic
359C2×C4×C5H(5,𝔽2)11yescharacteristic
360C2×Dic5—41no—
361C2×Dic5—41no—
362C2×Dic5—41no—
363C2×Dic5—41no—
364C2×Dic5—41no—
365C2×Dic5—41no—
366C2×Dic5—41no—
367C2×Dic5—41no—
368C2×Dic5—41no—
369C2×Dic5—41no—
370C2×Dic5—41no—
371C2×Dic5—41no—
372C2×Dic5—84no—
373#168—22no—
374#168—22no—
375#168—22no—
376#168—22no—
377C2×#41—41no—
378C2×#41—41no—
379C2×#41—41no—
380C2×#41—41no—
381C2×#41Dic1014yes—
382C2×#41C4×D514yes—
383C22×Q8C22⋊D511yescharacteristic
384C22×D4C22⋊D511yescharacteristic
385C22×D4C22⋊D511yescharacteristic
386C22×D4C22⋊D511yescharacteristic
387C23×C4—21no—
388C23×C4—101no—
389C23×C4C22×D511yescharacteristic
390C23×C4C22×D511yescharacteristic
391C23×C4C22×D511yescharacteristic
392C2×M16—54no—
393C2×M16—201no—
394C2×M16—201no—
395C22×C8—51no—
396C22×C8—51no—
397C22×C8—51no—
398C22×C8—51no—
399C22×C8—54no—
400C22×C8—201no—
401C22×C8—201no—
402#117—41no—
403#117—41no—
404#117—201no—
405#117—201no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4—41no—
409C2×C4⋊C4—51no—
410C2×C4⋊C4—51no—
411C2×C4⋊C4—51no—
412C2×C4⋊C4—51no—
413C2×C4⋊C4—101no—
414C2×C4⋊C4—201no—
415C2×C4⋊C4—201no—
416C2×C4⋊C4C22×D511yescharacteristic
417C2×C4⋊C4C22×D511yescharacteristic
418C2×C4⋊C4C22×D511yescharacteristic
419C2×C4⋊C4C22×D511yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—101no—
426C2×C22⋊C4—101no—
427C2×C22⋊C4—101no—
428C2×C22⋊C4—101no—
429C2×C22⋊C4—101no—
430C2×C42—21no—
431C2×C42—101no—
432#107—201no—
433#107—201no—
434#107—201no—
435#107—201no—
436#106—201no—
437#106—201no—
438#106—201no—
439#106—201no—
440C22⋊C8—54no—
441C22⋊C8—54no—
442C22⋊C8—54no—
443C22⋊C8—54no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—101no—
449#95—101no—
450#95—101no—
451#95—101no—
452C22×C5—22no—
453C22×C5—22no—
454C22×C5—22no—
455C22×C5—22no—
456C22×C5—22no—
457C22×C5—22no—
458C22×C5—22no—
459C22×C5—22no—
460C22×C5—22no—
461C22×C5—41no—
462C22×C5—41no—
463C22×C5—41no—
464C22×C5—41no—
465C22×C5—41no—
466C22×C5—41no—
467C22×C5—41no—
468C22×C5—41no—
469C22×C5—41no—
470C22×C5—41no—
471C22×C5—41no—
472C22×C5—41no—
473C22×C5C22×C4⋊C411yescharacteristic
474C22×C5#53411yescharacteristic
475C22×C5#53411yescharacteristic
476C22×C5#57611yescharacteristic
477C22×C5#57711yescharacteristic
478C22×C5#57711yescharacteristic
479C22×C5#57811yescharacteristic
480C4×C5—22no—
481C4×C5—22no—
482C4×C5—22no—
483C4×C5—81no—
484C4×C5—81no—
485C4×C5—81no—
486C4×C5—81no—
487C4×C5#51811yescharacteristic
488C4×C5#51811yescharacteristic
489C4×C5#54311yescharacteristic
490C4×C5#54311yescharacteristic
491Dic5—81no—
492Dic5—81no—
493Dic5—81no—
494Dic5—81no—
495C24C2×C22⋊D511yescharacteristic
496C24C2×C22⋊D511yescharacteristic
497C24C2×C22⋊D511yescharacteristic
498#41—44no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—41no—
503C2×Q8—41no—
504C2×Q8#68314yes—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—41no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4#68314yes—
512C2×D4#68314yes—
513C2×D4#68314yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—101no—
534C22×C4—101no—
535C22×C4—101no—
536C22×C4—101no—
537C22×C4—202no—
538C22×C4—401no—
539C22×C4—401no—
540C22×C4C2×Dic1012yes—
541C22×C4C2×Dic1012yes—
542C22×C4C2×Dic1012yes—
543C22×C4C2×C4×D512yes—
544C22×C4C2×C4×D512yes—
545C22×C4C2×C4×D512yes—
546C22×C4C2×C22⋊D511yescharacteristic
547C22×C4C2×C22⋊D511yescharacteristic
548C22×C4C2×C22⋊D511yescharacteristic
549C22×C4C23×D511yescharacteristic
550M16—204no—
551C2×C8—52no—
552C2×C8—52no—
553C2×C8—52no—
554C2×C8—52no—
555C2×C8—101no—
556C2×C8—101no—
557C2×C8—101no—
558C2×C8—101no—
559C2×C8—101no—
560C2×C8—101no—
561C2×C8—101no—
562C2×C8—101no—
563C2×C8—204no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—42no—
573C4⋊C4—101no—
574C4⋊C4—101no—
575C4⋊C4—101no—
576C4⋊C4—101no—
577C4⋊C4—101no—
578C4⋊C4—101no—
579C4⋊C4—101no—
580C4⋊C4—101no—
581C4⋊C4—202no—
582C22⋊C4—42no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—81no—
586C22⋊C4—81no—
587C22⋊C4—202no—
588C22⋊C4—401no—
589C22⋊C4—401no—
590C22⋊C4—401no—
591C22⋊C4—401no—
592C42—42no—
593C42—202no—
594C2×C5—42no—
595C2×C5—42no—
596C2×C5—42no—
597C2×C5#231511yescharacteristic
598C2×C5#291211yescharacteristic
599C2×C5#291311yescharacteristic
600C2×C5#319811yescharacteristic
601C2×C5#319811yescharacteristic
602C2×C5#320111yescharacteristic
603C2×C5#320111yescharacteristic
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#68312yes—
623C23C2×#68312yes—
624C23C2×#68312yes—
625C23C22×C22⋊D511yescharacteristic
626Q8—44no—
627D4—44no—
628D4—44no—
629D4—44no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—84no—
661C2×C4—201no—
662C2×C4—201no—
663C2×C4—201no—
664C2×C4—201no—
665C2×C4—201no—
666C2×C4—201no—
667C2×C4—201no—
668C2×C4—201no—
669C2×C4—201no—
670C2×C4—201no—
671C2×C4—201no—
672C2×C4—201no—
673C2×C4—404no—
674C2×C4C2×#68312yes—
675C2×C4C2×#68312yes—
676C2×C4C2×#68312yes—
677C2×C4C22×Dic1011yescharacteristic
678C2×C4C22×C4×D511yescharacteristic
679C2×C4#414411yescharacteristic
680C2×C4#414411yescharacteristic
681C2×C4#414411yescharacteristic
682C2×C4#414411yescharacteristic
683C8—102no—
684C8—102no—
685C8—102no—
686C8—102no—
687C5#2194511yescharacteristic, complemented, Sylow
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22C22×#68311yescharacteristic
710C22#6613811yescharacteristic
711C22#6613811yescharacteristic
712C22#6616911yescharacteristic
713C22#6617011yescharacteristic
714C22#6617111yescharacteristic
715C22#6617211yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—81no—
720C4—81no—
721C4—81no—
722C4—81no—
723C4—401no—
724C4—401no—
725C4—401no—
726C4—401no—
727C4#6581711yescharacteristic
728C4#6581711yescharacteristic
729C4#6582011yescharacteristic
730C4#6582011yescharacteristic
731C2—42no—
732C2—42no—
733C2—42no—
734C2#1061382611yescharacteristic
735C2#1061429211yescharacteristic
736C2#1061429311yescharacteristic
737C2#1061511711yescharacteristic
738C2#1061513911yescharacteristic
739C2#1061515611yescharacteristic
740C2#1061515911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutatorC2×C4×C5C23×C4
FrattiniC22×C4C23×D5
FittingC5×#2311C2
socleC23×C5C22×D4
prime radicalC22×C5×#41C22
cosocleC22×C4×C5C24
hypercenter#2311D5
hypocenterC5#21945
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C22×#41 ◁ #2311

Complements

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

NH ≅ G/Ntype
4. #10602369C2semidirect
5. #10602369C2semidirect
6. #10602349C2semidirect
7. #10602348C2semidirect
8. #10600306C2semidirect
9. #10600306C2semidirect
10. #10600305C2semidirect
11. #10600304C2semidirect
12. #10600299C2semidirect
13. #10600299C2semidirect
14. #10600298C2semidirect
15. #10600297C2semidirect
31. #65523C4semidirect
108. C2×#681C2×C4semidirect
111. C22×#168C2×C4semidirect
124. C22⋊#168C2×C4semidirect
125. C22⋊#168C2×C4semidirect
126. C22⋊#168C2×C4semidirect
127. C22⋊#168C2×C4semidirect
687. C5#21945semidirect

Maximal subgroups

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

subgroupindex
C5×#23112
#106158182
C2×#655232
#106023692
#106023492
#106023482
#106003062
#106003052
#106003042
#106002992
#106002982
#106002972
#219455