Finite Group Databasebeta

← #14458665

Subgroups — #14458665

Order 1920.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#66163C211yesmaximal, characteristic
2#11754403C211yesmaximal, characteristic, complemented
3#11751334C211yesmaximal, characteristic, complemented
4C5×#5239C211yesmaximal, characteristic, complemented
5#11749366C211yesmaximal, characteristic, complemented
6#11749331C211yesmaximal, characteristic, complemented
7#11749249C211yesmaximal, characteristic, complemented
8#11749196C211yesmaximal, characteristic, complemented
9#11749086C211yesmaximal, characteristic, complemented
10#11749044C211yesmaximal, characteristic, complemented
11Dic5×#214C211yesmaximal, characteristic, complemented
12D5×#832C211yesmaximal, characteristic, complemented
13#11748545C211yesmaximal, characteristic, complemented
14#11748493C211yesmaximal, characteristic, complemented
15#11748376C211yesmaximal, characteristic, complemented
16#10611977—31nomaximal, Hall
17C2×C3×C5×#41C2211yescharacteristic
18C2×C3×D4×D5C2211yescharacteristic
19#91815C2211yescharacteristic, complemented
20C22×C3⋊#168C2211yescharacteristic, complemented
21C2×C5×#216C2211yescharacteristic, complemented
22C2×C5×#214C2211yescharacteristic
23C5×#924C2211yescharacteristic, complemented
24C3×#4093C2211yescharacteristic
25C3×#4092C2211yescharacteristic
26C3×#4085—21no—
27C3×#4083—21no—
28C3×D4×Dic5C2211yescharacteristic
29C3×#4076C2211yescharacteristic
30C3×#4075—21no—
31C3×C4×C22⋊D5C2211yescharacteristic
32C2×C3×#685—21no—
33#91548—21no—
34#91530—21no—
35D5×C4⋊Dic3C2211yescharacteristic
36#91394—21no—
37#91388C2211yescharacteristic, complemented
38#91382—21no—
39#91359C2211yescharacteristic
40Dic5×Dic6C2211yescharacteristic, complemented
41C2×#6655C2211yescharacteristic
42C2×D5×C3⋊C8C2211yescharacteristic
43#91119C2211yescharacteristic, complemented
44#91119C2211yescharacteristic, complemented
45#91116C2211yescharacteristic
46#91116C2211yescharacteristic
47C5×#835C2211yescharacteristic, complemented
48C5×#832C2211yescharacteristic
49C5×#830C2211yescharacteristic, complemented
50#90990C2211yescharacteristic, complemented
51#90987C2211yescharacteristic, complemented
52#90986C2211yescharacteristic, complemented
53#90982C2211yescharacteristic, complemented
54#90972C2211yescharacteristic, complemented
55#90965C2211yescharacteristic
56#90965C2211yescharacteristic
57#90964C2211yescharacteristic
58#90955C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic, complemented
60#83494—51nomaximal, Hall
61#66163D311yescharacteristic
62#65973—31no—
63C5×#452—31no—
64#65522—31no—
65#65477—31no—
66#65474—31no—
67#65458—31no—
68SD16×Dic5—31no—
69#65337—31no—
70#65094—31no—
71#65089—31no—
72D5×#102—31no—
73#65055—31no—
74#65026—31no—
75#65014—31no—
76C23×C3×D5—21no—
77C3×C5×#41—22no—
78C3×C5×#41—41no—
79C2×C3×C5×Q8C2311yescharacteristic
80C2×C3×C5×D4—21no—
81C2×C3×C5×D4C2311yescharacteristic
82C22×C3×C4×C5—21no—
83C22×C3×C4×C5C2311yescharacteristic
84C2×C5×Dic6C2311yescharacteristic
85C2×C3×C22⋊D5—21no—
86C2×C3×C22⋊D5—21no—
87C2×C3×C22⋊D5D411yescharacteristic
88C22×C3×Dic5—21no—
89C3×D4×D5—22no—
90C3×D4×D5—41no—
91C2×C3×D20C2311yescharacteristic
92C2×C3×C4×D5C2311yescharacteristic
93C2×D5×Dic3—21no—
94#6719—21no—
95C4⋊Dic15C2311yescharacteristic
96C4⋊Dic15C2311yescharacteristic
97C4×Dic15—21no—
98C2×C3⋊#168—41no—
99C2×C3⋊#168C2311yescharacteristic
100C2×C3⋊#168C2311yescharacteristic
101C5×#217—21no—
102C5×#216—41no—
103C5×#214—22no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×Dic3⋊C4—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×C22⋊Dic5—21no—
109C3×C22⋊Dic5D411yescharacteristic
110C3×#685—21no—
111C3×#685—21no—
112C3×#685—21no—
113C3×#685—21no—
114C3×#685D411yescharacteristic
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C3×#683D411yescharacteristic
118C3×C4×Dic5C2311yescharacteristic
119Dic3⋊Dic5—21no—
120Dic3⋊Dic5—21no—
121#6669—21no—
122#6669—21no—
123#6668—21no—
124#6665—21no—
125Dic3×Dic5—21no—
126#6655—41no—
127D5×C3⋊C8—41no—
128C3×#546—51no—
129#5541—51no—
130#5239D511yescharacteristic, complemented
131#5233—51no—
132#5218—51no—
133C2×#832—51no—
134#5056—51no—
135#5054—51no—
136#5051—51no—
137#5043—51no—
138#5041—51no—
139#5035—51no—
140C4×#214—51no—
141D4×C3⋊C8—51no—
142#5009—51no—
143C2×C5×#41C2×D311yescharacteristic
144C2×D4×D5C2×D311yescharacteristic
145C2×C5×Q16—31no—
146C2×C5×SD16—31no—
147C5×C22⋊Q8—31no—
148#4093C2×D311yescharacteristic
149#4092—31no—
150#4092C2×D311yescharacteristic
151Q8×Dic5—31no—
152C2×#688—31no—
153#4085—21no—
154#4083—21no—
155D4×Dic5C2×D311yescharacteristic
156#4076C2×D311yescharacteristic
157#4075—21no—
158C4×C22⋊D5C2×D311yescharacteristic
159C2×#685—21no—
160#4072—31no—
161C22×#168—31no—
162C2×C8×D5—31no—
163#4038—61no—
164D5×C4⋊C4—31no—
165#4036—31no—
166#4035—61no—
167#4029—61no—
168#4025—61no—
169C5×#103—31no—
170C5×#102—31no—
171C5×C22⋊C8—31no—
172#3967—31no—
173#3967—31no—
174#3967—31no—
175#3964—31no—
176#3964—31no—
177#3953—31no—
178#3953—31no—
179#3952—31no—
180#3950—31no—
181#3949—31no—
182#3946—31no—
183C8×Dic5—31no—
184#3941—31no—
185#3940—31no—
186#3296—151noSylow
187C23×C3×C5—21no—
188C23×C3×C5C2×D411yescharacteristic
189C22×C3×D5—21no—
190C22×C3×D5—42no—
191C22×C3×D5—42no—
192C22×C3×D5—81no—
193C22×C3×D5C2×D411yescharacteristic
194C3×C5×Q8—21no—
195C3×C5×Q8—21no—
196C3×C5×D4—21no—
197C3×C5×D4—42no—
198C3×C5×D4#4112yes—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—21no—
201C2×C3×C4×C5—21no—
202C2×C3×C4×C5—42no—
203C2×C3×C4×C5C2×D411yescharacteristic
204C2×C3×C4×C5C2411yescharacteristic
205C2×Dic15—21no—
206C2×Dic15—21no—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—21no—
209C5×Dic6—21no—
210C5×Dic6—21no—
211C3×C22⋊D5—22no—
212C3×C22⋊D5—42no—
213C3×C22⋊D5—81no—
214C2×C3×Dic5—21no—
215C2×C3×Dic5—81no—
216C2×C3×Dic5C2×D411yescharacteristic
217C2×C3×Dic5C2×D411yescharacteristic
218C2×C3×Dic5C2×D411yescharacteristic
219C3×D20—21no—
220C3×D20—21no—
221C3×C4×D5—21no—
222C3×C4×D5—21no—
223D5×Dic3—42no—
224C3⋊#168—21no—
225C3⋊#168—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×C3×#41C2×D511yescharacteristic
229C22×C3×D4—51no—
230C3×#124—51no—
231C3×#123—101no—
232C3×C22⋊Q8—51no—
233C3×#121—51no—
234C3×#121—101no—
235C3×#120—101no—
236C3×C4×D4—51no—
237C3×C4×D4—51no—
238C2×C3×C22⋊C4—101no—
239C2×#216C2×D511yescharacteristic, complemented
240#935—101no—
241C2×#214—51no—
242C2×#214C2×D511yescharacteristic
243#926—51no—
244C2×C4⋊Dic3—51no—
245#924—51no—
246#924C2×D511yescharacteristic, complemented
247C22×C3⋊C8—51no—
248C22×C3⋊C8—51no—
249#889—101no—
250#879—101no—
251#877—101no—
252#870—51no—
253C4×Dic6—51no—
254#835—51no—
255#835—51no—
256#835C2×D511yescharacteristic, complemented
257#832—51no—
258#832—51no—
259#832—51no—
260#832—51no—
261#832—51no—
262#832C2×D511yescharacteristic
263#830—51no—
264#830C2×D511yescharacteristic, complemented
265#810—51no—
266#808—51no—
267#808—51no—
268#807—51no—
269C4⋊(C3⋊C8)—51no—
270C4×C3⋊C8—51no—
271C23×D5—21no—
272C5×#41—22no—
273C5×#41—41no—
274C2×C5×Q8—31no—
275C2×C5×Q8C22×D311yescharacteristic
276C2×C5×D4—21no—
277C2×C5×D4C22×D311yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5C22×D311yescharacteristic
280C2×C22⋊D5—21no—
281C2×C22⋊D5—21no—
282C2×C22⋊D5#6711yescharacteristic
283C22×Dic5—21no—
284D4×D5—22no—
285D4×D5—41no—
286C2×D20C22×D311yescharacteristic
287C2×C4×D5—61no—
288C2×C4×D5C22×D311yescharacteristic
289C5×Q16—121no—
290C5×SD16—62no—
291C2×C5×C8—31no—
292C2×C5×C8—31no—
293C5×C4⋊C4—31no—
294C5×C4⋊C4—61no—
295C5×C22⋊C4—61no—
296C22⋊Dic5—21no—
297C22⋊Dic5—61no—
298C22⋊Dic5#6711yescharacteristic
299#688—121no—
300#685—21no—
301#685—21no—
302#685—21no—
303#685—21no—
304#685—61no—
305#685#6711yescharacteristic
306C4⋊Dic5—31no—
307C4⋊Dic5—31no—
308C4⋊Dic5—61no—
309C4⋊Dic5—61no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—61no—
313#683—61no—
314#683—61no—
315#683#6711yescharacteristic
316C4×Dic5—61no—
317C4×Dic5—61no—
318C4×Dic5C22×D311yescharacteristic
319C2×#168—31no—
320C2×#168—31no—
321C2×#168—121no—
322C8×D5—121no—
323#552—151no—
324#546—51no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452—31no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—151no—
338C22×C3×C5—22no—
339C22×C3×C5—21no—
340C22×C3×C5—21no—
341C22×C3×C5—21no—
342C22×C3×C5—41no—
343C22×C3×C5—41no—
344C22×C3×C5C22×D411yescharacteristic
345C2×C3×D5—21no—
346C2×C3×D5—21no—
347C2×C3×D5—41no—
348C2×C3×D5—41no—
349C2×C3×D5—41no—
350C2×C3×D5—84no—
351C2×C3×D5#13512yes—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5C2×#4111yescharacteristic
355C3×C4×C5H(5,𝔽2)11yescharacteristic
356Dic15—41no—
357Dic15—41no—
358C3×Dic5—21no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—41no—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C24×C3—101no—
365C3×#41—22no—
366C3×#41—41no—
367C2×C3×Q8C22×D511yescharacteristic
368C2×C3×D4—21no—
369C2×C3×D4—51no—
370C2×C3×D4—51no—
371C2×C3×D4—101no—
372C2×C3×D4—102no—
373C2×C3×D4—101no—
374C2×C3×D4—201no—
375C2×C3×D4C22×D511yescharacteristic
376C22×C3×C4—21no—
377C22×C3×C4—51no—
378C22×C3×C4—101no—
379C22×C3×C4C22×D511yescharacteristic
380C22×Dic3—101no—
381C2×Dic6C22×D511yescharacteristic
382C3×C4⋊C4—51no—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—101no—
385C3×C22⋊C4—51no—
386C3×C22⋊C4—51no—
387C3×C22⋊C4—101no—
388C3×C22⋊C4—101no—
389C3×C22⋊C4—101no—
390C3×C22⋊C4—101no—
391C3×C22⋊C4—101no—
392C3×C42—51no—
393#217—21no—
394#217—101no—
395#217—101no—
396#216—41no—
397#214—22no—
398#214—201no—
399C4⋊Dic3—51no—
400C4⋊Dic3—51no—
401C4⋊Dic3—101no—
402C4⋊Dic3C22×D511yescharacteristic
403Dic3⋊C4—21no—
404Dic3⋊C4—101no—
405Dic3⋊C4—101no—
406Dic3⋊C4—101no—
407Dic3⋊C4—101no—
408C4×Dic3—101no—
409C4×Dic3—101no—
410C2×C3⋊C8—51no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8—201no—
413C2×C3⋊C8—201no—
414C2×C3⋊C8C22×D511yescharacteristic
415C2×C3⋊C8C22×D511yescharacteristic
416C23×C5—21no—
417C23×C5C2×#6711yescharacteristic
418C22×D5—21no—
419C22×D5—42no—
420C22×D5—42no—
421C22×D5—81no—
422C22×D5C2×#6711yescharacteristic
423C5×Q8—21no—
424C5×Q8—21no—
425C5×Q8—61no—
426C5×Q8—61no—
427C5×D4—21no—
428C5×D4—42no—
429C5×D4#23712yes—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5—21no—
433C2×C4×C5—42no—
434C2×C4×C5—61no—
435C2×C4×C5—61no—
436C2×C4×C5C2×#6711yescharacteristic
437C2×C4×C5C23×D311yescharacteristic
438C22⋊D5—22no—
439C22⋊D5—42no—
440C22⋊D5—81no—
441C2×Dic5—21no—
442C2×Dic5—61no—
443C2×Dic5—61no—
444C2×Dic5—81no—
445C2×Dic5C2×#6711yescharacteristic
446C2×Dic5C2×#6711yescharacteristic
447C2×Dic5C2×#6711yescharacteristic
448D20—21no—
449D20—21no—
450C4×D5—21no—
451C4×D5—21no—
452C4×D5—122no—
453C5×C8—61no—
454C5×C8—61no—
455#168—61no—
456#168—61no—
457C2×#41D3×D511yescharacteristic
458C22×D4—51no—
459C2×Q16—31no—
460C2×SD16—31no—
461C2×SD16—151no—
462C22×C8—151no—
463C22×C8—151no—
464#126—301no—
465#125—151no—
466#125—301no—
467#124—51no—
468#123—101no—
469#123—301no—
470C22⋊Q8—31no—
471C22⋊Q8—51no—
472C22⋊Q8—151no—
473#121—51no—
474#121—101no—
475#120—101no—
476C4×Q8—151no—
477C4×D4—51no—
478C4×D4—51no—
479#117—151no—
480#117—301no—
481C2×C4⋊C4—151no—
482C2×C22⋊C4—101no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—151no—
487#103—31no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—31no—
492#102—151no—
493#102—151no—
494#102—151no—
495#102—151no—
496#102—151no—
497C22⋊C8—31no—
498C22⋊C8—151no—
499C4×C8—151no—
500C2×C3×C5—42no—
501C2×C3×C5—41no—
502C2×C3×C5#54611yescharacteristic
503C2×C3×C5C2×#13511yescharacteristic
504C2×C3×C5#57711yescharacteristic
505C3×D5—22no—
506C3×D5—81no—
507C23×C3—21no—
508C23×C3—51no—
509C23×C3—101no—
510C23×C3—202no—
511C23×C3—202no—
512C23×C3—401no—
513C23×C3D4×D511yescharacteristic
514C3×Q8—21no—
515C3×Q8—21no—
516C3×D4—21no—
517C3×D4—42no—
518C3×D4—102no—
519C3×D4—101no—
520C3×D4—101no—
521C3×D4—202no—
522C3×D4—401no—
523C3×D4#71112yes—
524C2×C3×C4—21no—
525C2×C3×C4—21no—
526C2×C3×C4—21no—
527C2×C3×C4—42no—
528C2×C3×C4—51no—
529C2×C3×C4—51no—
530C2×C3×C4—51no—
531C2×C3×C4—101no—
532C2×C3×C4—101no—
533C2×C3×C4—101no—
534C2×C3×C4—401no—
535C2×C3×C4D4×D511yescharacteristic
536C2×C3×C4C23×D511yescharacteristic
537C2×Dic3—21no—
538C2×Dic3—21no—
539C2×Dic3—101no—
540C2×Dic3—101no—
541C2×Dic3—202no—
542Dic6—21no—
543Dic6—21no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—22no—
549C22×C5—21no—
550C22×C5—21no—
551C22×C5—21no—
552C22×C5—41no—
553C22×C5—41no—
554C22×C5C22×#6711yescharacteristic
555C2×D5—21no—
556C2×D5—21no—
557C2×D5—41no—
558C2×D5—41no—
559C2×D5—41no—
560C2×D5—84no—
561C2×D5#95012yes—
562C4×C5—21no—
563C4×C5—41no—
564C4×C5—121no—
565C4×C5—121no—
566C4×C5C2×#23711yescharacteristic
567C4×C5#100411yescharacteristic
568Dic5—21no—
569Dic5—21no—
570Dic5—21no—
571Dic5—41no—
572Dic5—121no—
573Dic5—121no—
574C24—101no—
575#41—22no—
576#41—41no—
577C2×Q8—31no—
578C2×Q8C2×D3×D511yescharacteristic
579C2×D4—21no—
580C2×D4—51no—
581C2×D4—51no—
582C2×D4—101no—
583C2×D4—102no—
584C2×D4—101no—
585C2×D4—201no—
586C2×D4C2×D3×D511yescharacteristic
587C22×C4—21no—
588C22×C4—51no—
589C22×C4—101no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592Q16—121no—
593SD16—62no—
594SD16—601no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—151no—
598C2×C8—151no—
599C2×C8—601no—
600C2×C8—601no—
601C4⋊C4—31no—
602C4⋊C4—51no—
603C4⋊C4—51no—
604C4⋊C4—61no—
605C4⋊C4—101no—
606C4⋊C4—151no—
607C4⋊C4—151no—
608C4⋊C4—301no—
609C4⋊C4—301no—
610C4⋊C4—301no—
611C4⋊C4—301no—
612C4⋊C4—301no—
613C22⋊C4—51no—
614C22⋊C4—51no—
615C22⋊C4—61no—
616C22⋊C4—101no—
617C22⋊C4—101no—
618C22⋊C4—101no—
619C22⋊C4—101no—
620C22⋊C4—101no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—51no—
624C42—301no—
625C42—301no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—22no—
631C22×C3—41no—
632C22×C3—41no—
633C22×C3—52no—
634C22×C3—101no—
635C22×C3—101no—
636C22×C3—201no—
637C22×C3—201no—
638C22×C3—201no—
639C22×C3—404no—
640C22×C3C2×D4×D511yescharacteristic
641C3×C4—21no—
642C3×C4—41no—
643C3×C4—101no—
644C3×C4—101no—
645C3×C4—101no—
646C3×C4—201no—
647C3×C4C2×#71111yescharacteristic
648C3×C4#414411yescharacteristic
649Dic3—41no—
650Dic3—41no—
651Dic3—201no—
652Dic3—201no—
653C2×C5—42no—
654C2×C5—41no—
655C2×C5#580611yescharacteristic
656C2×C5C2×#95011yescharacteristic
657C2×C5#583611yescharacteristic
658D5—22no—
659D5—81no—
660C23—21no—
661C23—51no—
662C23—101no—
663C23—202no—
664C23—202no—
665C23—401no—
666C23D5×#6711yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—61no—
670Q8—61no—
671D4—21no—
672D4—42no—
673D4—102no—
674D4—101no—
675D4—101no—
676D4—202no—
677D4—401no—
678D4#678012yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—51no—
684C2×C4—51no—
685C2×C4—51no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—101no—
689C2×C4—101no—
690C2×C4—101no—
691C2×C4—301no—
692C2×C4—301no—
693C2×C4—401no—
694C2×C4—602no—
695C2×C4D5×#6711yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—61no—
698C8—61no—
699C8—301no—
700C8—301no—
701C2×C3—41no—
702C2×C3—42no—
703C2×C3—102no—
704C2×C3—401no—
705C2×C3#6592511yescharacteristic
706C2×C3D5×#13511yescharacteristic
707C2×C3#6611211yescharacteristic
708C5#8349411yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—41no—
714C22—41no—
715C22—52no—
716C22—101no—
717C22—101no—
718C22—201no—
719C22—201no—
720C22—201no—
721C22—404no—
722C22C2×D5×#6711yescharacteristic
723C4—21no—
724C4—41no—
725C4—101no—
726C4—101no—
727C4—101no—
728C4—121no—
729C4—121no—
730C4—201no—
731C4—601no—
732C4—601no—
733C4C2×#678011yescharacteristic
734C4#9204911yescharacteristic
735C3#1061197711yescharacteristic, complemented, Sylow
736C2—41no—
737C2—42no—
738C2—102no—
739C2—401no—
740C2D5×#95011yescharacteristic
741C2#1175533511yescharacteristic
742C2#1175538111yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×#41C22
socleC22×C3×C5C22×D4
prime radicalC3×#66163C2
hypercenterC2×#41D3×D5
hypocenterC3×C5#3296
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
2. #11754403C2semidirect
3. #11751334C2semidirect
4. C5×#5239C2semidirect
5. #11749366C2semidirect
6. #11749331C2semidirect
7. #11749249C2semidirect
8. #11749196C2semidirect
9. #11749086C2semidirect
10. #11749044C2semidirect
11. Dic5×#214C2semidirect
12. D5×#832C2semidirect
13. #11748545C2semidirect
14. #11748493C2semidirect
15. #11748376C2semidirect
19. #91815C22semidirect
20. C22×C3⋊#168C22semidirect
21. C2×C5×#216C22semidirect
23. C5×#924C22semidirect
37. #91388C22semidirect
40. Dic5×Dic6C22semidirect
43. #91119C22semidirect
44. #91119C22semidirect
47. C5×#835C22semidirect
49. C5×#830C22semidirect
50. #90990C22semidirect
51. #90987C22semidirect
52. #90986C22semidirect
53. #90982C22semidirect
54. #90972C22semidirect
59. Dic5×C3⋊C8C22semidirect
130. #5239D5semidirect
239. C2×#216C2×D5semidirect
246. #924C2×D5semidirect
256. #835C2×D5semidirect
264. #830C2×D5semidirect
626. C3×C5#3296semidirect
708. C5#83494semidirect
735. C3#10611977semidirect

Maximal subgroups

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

subgroupindex
C3×#661632
#117544032
#117513342
C5×#52392
#117493662
#117493312
#117492492
#117491962
#117490862
#117490442
Dic5×#2142
D5×#8322
#117485452
#117484932
#117483762
#106119773
#834945