Finite Group Databasebeta

← #14459168

Subgroups — #14459168

Order 1920.

840 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×Q8×C22⋊D5C211yesmaximal, characteristic, complemented
2#11754325C211yesmaximal, characteristic
3#11751328C211yesmaximal, characteristic, complemented
4C2×C5×#835C211yesmaximal, characteristic, complemented
5#11749349C211yesmaximal, characteristic, complemented
6#11749348C211yesmaximal, characteristic, complemented
7#11749269C211yesmaximal, characteristic, complemented
8#11749268C211yesmaximal, characteristic, complemented
9#11749222C211yesmaximal, characteristic, complemented
10#11749221C211yesmaximal, characteristic, complemented
11#11749196C211yesmaximal, characteristic, complemented
12D5×#835C211yesmaximal, characteristic, complemented
13#11748541C211yesmaximal, characteristic, complemented
14C3⋊C8×C22⋊D5C211yesmaximal, characteristic, complemented
15#11748401C211yesmaximal, characteristic, complemented
16#10610536—31nomaximal, Hall
17C22×C3×C5×Q8C2211yescharacteristic
18C2×C3×Q8×D5C2211yescharacteristic
19C2×#6779—21no—
20C2×#6717C2211yescharacteristic
21C2×#6717C2211yescharacteristic
22#91819C2211yescharacteristic
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C22×C5×C3⋊C8C2211yescharacteristic
25C3×#4092—21no—
26C3×#4092C2211yescharacteristic
27C3×Q8×Dic5C2211yescharacteristic
28C3×#4090—21no—
29C3×#4090C2211yescharacteristic
30C3×C4×C22⋊D5—21no—
31C3×C4×C22⋊D5C2211yescharacteristic
32C3×#4070—21no—
33C3×#4070C2211yescharacteristic
34#91542—21no—
35#91468C2211yescharacteristic
36#91450C2211yescharacteristic
37#91419—21no—
38#91418C2211yescharacteristic
39#91413—21no—
40D5×C4⋊Dic3C2211yescharacteristic
41C2×#6658C2211yescharacteristic
42C2×D5×C3⋊C8C2211yescharacteristic
43#91119C2211yescharacteristic
44#91119C2211yescharacteristic
45#91114C2211yescharacteristic
46C5×#835C2211yescharacteristic
47C5×#835C2211yescharacteristic
48C5×#835C2211yescharacteristic
49C5×#835C2211yescharacteristic
50#90987C2211yescharacteristic
51#90986C2211yescharacteristic
52#90986C2211yescharacteristic
53#90982C2211yescharacteristic
54#90971C2211yescharacteristic
55#90970C2211yescharacteristic
56#90970C2211yescharacteristic
57#90968C2211yescharacteristic
58#90955C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#83550—51nomaximal, Hall
61Q8×C22⋊D5D311yescharacteristic, complemented
62#65841—31no—
63C2×C5×#103—31no—
64#65516—31no—
65#65403—31no—
66C8×C22⋊D5—31no—
67#65260—31no—
68#65107—31no—
69#65096—31no—
70#65095—31no—
71#65094—31no—
72D5×#103—31no—
73#65081—31no—
74#65080—31no—
75#65077—31no—
76C2×C3×C5×Q8—21no—
77C2×C3×C5×Q8—22no—
78C2×C3×C5×Q8—41no—
79C2×C3×C5×Q8C2311yescharacteristic
80C2×C3×C5×Q8C2311yescharacteristic
81C22×C3×C4×C5—21no—
82C22×C3×C4×C5C2311yescharacteristic
83C2×#1220—21no—
84C2×D60C2311yescharacteristic
85C22×C5×Dic3—21no—
86C2×C3×C22⋊D5D411yescharacteristic
87C3×Q8×D5—22no—
88C3×Q8×D5—41no—
89C2×C3×C4×D5—21no—
90C2×C3×C4×D5C2311yescharacteristic
91C2×C3×Dic10—21no—
92C2×C3×Dic10C2311yescharacteristic
93C2×#1204—21no—
94C2×#1202—21no—
95C2×#1200—21no—
96#6779—44no—
97C2×D5×Dic3—21no—
98#6717—22no—
99#6717—41no—
100#6714—21no—
101C4⋊Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C2×C3⋊#168C2311yescharacteristic
104C5×C4⋊Dic3—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C5×C4⋊Dic3C2311yescharacteristic
107C2×C5×C3⋊C8—41no—
108C2×C5×C3⋊C8C2311yescharacteristic
109C2×C5×C3⋊C8C2311yescharacteristic
110C3×C22⋊Dic5—21no—
111C3×C22⋊Dic5D411yescharacteristic
112C3×#685—21no—
113C3×#685D411yescharacteristic
114C3×C4⋊Dic5—21no—
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C3×#683—21no—
118C3×#683—21no—
119C3×#683—21no—
120C3×#683D411yescharacteristic
121C3×C4×Dic5—21no—
122C3×C4×Dic5C2311yescharacteristic
123#6668—21no—
124#6668—21no—
125#6667—21no—
126#6667—21no—
127#6658—41no—
128D5×C3⋊C8—41no—
129C3×D4×Q8—51no—
130#5555—51no—
131#5227—51no—
132#5227—51no—
133C2×#835—51no—
134C2×#835D511yescharacteristic, complemented
135#5083—51no—
136#5079—51no—
137#5048—51no—
138#5048—51no—
139#5043—51no—
140#5043—51no—
141C4×#215—51no—
142#5020—51no—
143D4×C3⋊C8—51no—
144C22×C5×Q8C2×D311yescharacteristic
145C2×Q8×D5C2×D311yescharacteristic
146C2×#709—61no—
147C22×C5×C8—31no—
148C2×C5×C4⋊C4—31no—
149#4092—21no—
150#4092C2×D311yescharacteristic
151Q8×Dic5C2×D311yescharacteristic
152#4090—21no—
153#4090C2×D311yescharacteristic
154C2×#688—31no—
155C2×#688—31no—
156#4076—31no—
157#4075—61no—
158C4×C22⋊D5—21no—
159C4×C22⋊D5C2×D311yescharacteristic
160#4070—21no—
161#4070C2×D311yescharacteristic
162C2×#677—31no—
163C2×C8×D5—31no—
164#4042—61no—
165#4041—31no—
166#4040—61no—
167#4039—31no—
168D5×C4⋊C4—31no—
169#4034—31no—
170C5×#103—31no—
171C5×#103—31no—
172C5×#103—31no—
173C5×#103—31no—
174#3967—31no—
175#3967—31no—
176C22⋊#168—31no—
177#3953—31no—
178#3952—31no—
179#3949—31no—
180#3948—31no—
181#3946—31no—
182C8×Dic5—31no—
183#3942—31no—
184#3942—31no—
185#3940—31no—
186#3940—31no—
187#3298—151noSylow
188C23×C3×C5C2×D411yescharacteristic
189C22×D15—21no—
190C22×C3×D5C2×D411yescharacteristic
191C3×C5×Q8—21no—
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8—42no—
195C3×C5×Q8#4112yescomplemented
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—21no—
199C2×C3×C4×C5—21no—
200C2×C3×C4×C5—42no—
201C2×C3×C4×C5C2×D411yescharacteristic
202C2×C3×C4×C5C2411yescharacteristic
203#1220—42no—
204C2×Dic15—21no—
205D60—21no—
206D60—21no—
207C2×C5×Dic3—21no—
208C2×C5×Dic3—21no—
209C2×C5×Dic3—42no—
210C3×C22⋊D5SD1614yescomplemented
211C2×C3×Dic5—21no—
212C2×C3×Dic5—21no—
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C2×C3×Dic5C2×D411yescharacteristic
216C3×C4×D5—21no—
217C3×C4×D5—21no—
218C3×C4×D5—42no—
219C3×Dic10—21no—
220C3×Dic10—21no—
221C3×Dic10—42no—
222#1204—42no—
223#1202—42no—
224#1200—42no—
225D5×Dic3—42no—
226C3⋊#168—21no—
227C3⋊#168—21no—
228C5×C3⋊C8—21no—
229C5×C3⋊C8—21no—
230C22×C3×Q8—51no—
231C22×C3×Q8C2×D511yescharacteristic
232C2×#237—101no—
233C3×C4⋊Q8—51no—
234C3×C4⋊Q8—101no—
235C3×C22⋊Q8—51no—
236C3×C22⋊Q8—51no—
237C3×C22⋊Q8—101no—
238C3×C22⋊Q8—101no—
239C3×C4×Q8—51no—
240C3×C4×D4—51no—
241C3×C4×D4—101no—
242C2×#215—51no—
243C2×#215—51no—
244C2×#215—51no—
245#930—51no—
246#930—51no—
247C2×C4⋊Dic3—51no—
248C2×C4⋊Dic3C2×D511yescharacteristic
249C22×C3⋊C8—51no—
250C22×C3⋊C8C2×D511yescharacteristic
251#897—101no—
252#886—101no—
253#886—101no—
254C4×D12—51no—
255#869—51no—
256#835—51no—
257#835—51no—
258#835—51no—
259#835—51no—
260#835—51no—
261#835C2×D511yescharacteristic
262#835C2×D511yescharacteristic
263#835C2×D511yescharacteristic
264#835C2×D511yescharacteristic
265#830—51no—
266#830—51no—
267#809—51no—
268#808—51no—
269#808—51no—
270#808—51no—
271C4⋊(C3⋊C8)—51no—
272C4×C3⋊C8—51no—
273C2×C5×Q8—21no—
274C2×C5×Q8—22no—
275C2×C5×Q8—41no—
276C2×C5×Q8C22×D311yescharacteristic
277C2×C5×Q8C22×D311yescharacteristic
278C22×C4×C5—21no—
279C22×C4×C5—61no—
280C22×C4×C5C22×D311yescharacteristic
281C2×C22⋊D5—61no—
282C2×C22⋊D5#6711yescharacteristic
283Q8×D5—22no—
284Q8×D5—41no—
285#709—124no—
286C2×D20—31no—
287C2×D20—61no—
288C2×C4×D5—21no—
289C2×C4×D5—61no—
290C2×C4×D5—61no—
291C2×C4×D5C22×D311yescharacteristic
292C2×Dic10—21no—
293C2×Dic10—61no—
294C2×Dic10C22×D311yescharacteristic
295C2×C5×C8—31no—
296C2×C5×C8—31no—
297C2×C5×C8—121no—
298C5×C4⋊C4—31no—
299C5×C4⋊C4—31no—
300C5×C4⋊C4—61no—
301C22⋊Dic5—21no—
302C22⋊Dic5#6711yescharacteristic
303#688—62no—
304#688—121no—
305#685—21no—
306#685—61no—
307#685—61no—
308#685—61no—
309#685#6711yescharacteristic
310C4⋊Dic5—21no—
311C4⋊Dic5—31no—
312C4⋊Dic5C22×D311yescharacteristic
313#683—21no—
314#683—21no—
315#683—21no—
316#683—21no—
317#683—61no—
318#683—61no—
319#683#6711yescharacteristic
320C4×Dic5—21no—
321C4×Dic5C22×D311yescharacteristic
322C2×#168—31no—
323C2×#168—31no—
324#677—121no—
325C8×D5—121no—
326D4×Q8—51no—
327#547—151no—
328#487—151no—
329#483—151no—
330#483—151no—
331#475—151no—
332#465—151no—
333#465—151no—
334#461—151no—
335#448—151no—
336#448—151no—
337C4×SD16—151no—
338C8×D4—151no—
339C2×#103—31no—
340C2×#103—151no—
341C22×C3×C5—21no—
342C22×C3×C5—21no—
343C22×C3×C5C2×SD1612yes—
344C22×C3×C5C22×D411yescharacteristic
345C2×D15—41no—
346C2×D15—41no—
347C2×D15—41no—
348C2×C3×D5—21no—
349C2×C3×D5—21no—
350C2×C3×D5C2×SD1612yes—
351C3×C4×C5—22no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5C2×#4111yescharacteristic
355C3×C4×C5H(5,𝔽2)11yescharacteristic
356Dic15—41no—
357C3×Dic5—21no—
358C3×Dic5—21no—
359C3×Dic5—41no—
360C3×Dic5—41no—
361C3×Dic5C2×SD1612yes—
362C5×Dic3—41no—
363C5×Dic3—41no—
364C2×C3×Q8—21no—
365C2×C3×Q8—22no—
366C2×C3×Q8—41no—
367C2×C3×Q8—51no—
368C2×C3×Q8—101no—
369C2×C3×Q8—102no—
370C2×C3×Q8—201no—
371C2×C3×Q8C22×D511yescharacteristic
372C2×C3×Q8C22×D511yescharacteristic
373C2×C3×D4—51no—
374C22×C3×C4—21no—
375C22×C3×C4—51no—
376C22×C3×C4—101no—
377C22×C3×C4C22×D511yescharacteristic
378C2×#67—101no—
379C2×#67—101no—
380C22×Dic3—21no—
381C22×Dic3—101no—
382#237—204no—
383C2×D12—51no—
384C2×C4×D3—101no—
385C2×Dic6—101no—
386C3×C4⋊C4—51no—
387C3×C4⋊C4—51no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4—101no—
390C3×C4⋊C4—101no—
391C3×C4⋊C4—101no—
392C3×C4⋊C4—101no—
393C3×C22⋊C4—51no—
394C3×C22⋊C4—51no—
395C3×C22⋊C4—101no—
396C3×C22⋊C4—101no—
397C3×C42—51no—
398C3×C42—101no—
399#215—102no—
400#215—201no—
401#215—201no—
402(C2×D3)⋊C4—101no—
403(C2×D3)⋊C4—101no—
404(C2×D3)⋊C4—101no—
405C4⋊Dic3—21no—
406C4⋊Dic3—51no—
407C4⋊Dic3—101no—
408C4⋊Dic3—101no—
409C4⋊Dic3C22×D511yescharacteristic
410C4⋊Dic3C22×D511yescharacteristic
411C2×C3⋊C8—41no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—51no—
414C2×C3⋊C8—201no—
415C2×C3⋊C8C22×D511yescharacteristic
416C2×C3⋊C8C22×D511yescharacteristic
417C23×C5C2×#6711yescharacteristic
418C22×D5—61no—
419C22×D5C2×#6711yescharacteristic
420C5×Q8—21no—
421C5×Q8—21no—
422C5×Q8—21no—
423C5×Q8—42no—
424C5×Q8#23712yescomplemented
425C2×C4×C5—21no—
426C2×C4×C5—21no—
427C2×C4×C5—21no—
428C2×C4×C5—21no—
429C2×C4×C5—42no—
430C2×C4×C5—61no—
431C2×C4×C5—61no—
432C2×C4×C5—122no—
433C2×C4×C5C2×#6711yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—122no—
436C22⋊D5#21514yescomplemented
437C2×Dic5—21no—
438C2×Dic5—21no—
439C2×Dic5—61no—
440C2×Dic5C2×#6711yescharacteristic
441C2×Dic5C2×#6711yescharacteristic
442C2×Dic5C2×#6711yescharacteristic
443D20—61no—
444D20—61no—
445D20—122no—
446C4×D5—21no—
447C4×D5—21no—
448C4×D5—42no—
449C4×D5—122no—
450C4×D5—122no—
451Dic10—21no—
452Dic10—21no—
453Dic10—42no—
454Dic10—122no—
455C5×C8—61no—
456C5×C8—61no—
457#168—61no—
458#168—61no—
459C2×#41—301no—
460C22×Q8—51no—
461C22×Q8D3×D511yescharacteristic
462C2×SD16—151no—
463C2×SD16—151no—
464C2×SD16—151no—
465C22×C8—31no—
466C22×C8—151no—
467C4⋊Q8—51no—
468C4⋊Q8—101no—
469C4⋊Q8—151no—
470#123—301no—
471#123—301no—
472C22⋊Q8—51no—
473C22⋊Q8—51no—
474C22⋊Q8—101no—
475C22⋊Q8—101no—
476C22⋊Q8—301no—
477#121—151no—
478#121—151no—
479C4×Q8—51no—
480C4×D4—51no—
481C4×D4—101no—
482C4×D4—151no—
483C2×C4⋊C4—31no—
484C2×C4⋊C4—151no—
485#106—151no—
486#106—151no—
487#106—151no—
488C4⋊C8—151no—
489#103—31no—
490#103—31no—
491#103—31no—
492#103—31no—
493#103—151no—
494#103—151no—
495#103—151no—
496#103—151no—
497#103—151no—
498#102—151no—
499C22⋊C8—151no—
500C22⋊C8—151no—
501C4×C8—151no—
502C2×C3×C5—22no—
503C2×C3×C5#54611yescharacteristic
504C2×C3×C5C22×SD1611yescharacteristic
505C2×C3×C5#57811yescharacteristic
506D15—81no—
507C3×D5—22no—
508C23×C3—51no—
509C23×C3D4×D511yescharacteristic
510C22×D3—101no—
511C3×Q8—21no—
512C3×Q8—21no—
513C3×Q8—21no—
514C3×Q8—42no—
515C3×Q8—101no—
516C3×Q8—101no—
517C3×Q8—202no—
518C3×Q8#70912yescomplemented
519C3×D4—54no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—21no—
524C2×C3×C4—42no—
525C2×C3×C4—51no—
526C2×C3×C4—51no—
527C2×C3×C4—51no—
528C2×C3×C4—101no—
529C2×C3×C4—101no—
530C2×C3×C4—101no—
531C2×C3×C4—101no—
532C2×C3×C4—202no—
533C2×C3×C4D4×D511yescharacteristic
534C2×C3×C4C23×D511yescharacteristic
535#67—202no—
536#67—202no—
537C2×Dic3—21no—
538C2×Dic3—21no—
539C2×Dic3—42no—
540C2×Dic3—101no—
541C2×Dic3—202no—
542D12—101no—
543D12—101no—
544C4×D3—202no—
545Dic6—202no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—101no—
549C3⋊C8—101no—
550C22×C5—21no—
551C22×C5—21no—
552C22×C5C2×#21512yes—
553C22×C5C22×#6711yescharacteristic
554C2×D5—21no—
555C2×D5—21no—
556C2×D5—121no—
557C2×D5—121no—
558C2×D5—121no—
559C2×D5C2×#21512yes—
560C4×C5—22no—
561C4×C5—21no—
562C4×C5—41no—
563C4×C5—121no—
564C4×C5—121no—
565C4×C5C2×#23711yescharacteristic
566C4×C5#100411yescharacteristic
567Dic5—21no—
568Dic5—21no—
569Dic5—41no—
570Dic5—41no—
571Dic5—121no—
572Dic5C2×#21512yes—
573#41—604no—
574C2×Q8—21no—
575C2×Q8—22no—
576C2×Q8—41no—
577C2×Q8—51no—
578C2×Q8—101no—
579C2×Q8—102no—
580C2×Q8—201no—
581C2×Q8—301no—
582C2×Q8C2×D3×D511yescharacteristic
583C2×Q8C2×D3×D511yescharacteristic
584C2×D4—51no—
585C2×D4—151no—
586C2×D4—301no—
587C2×D4—301no—
588C22×C4—21no—
589C22×C4—51no—
590C22×C4—61no—
591C22×C4—101no—
592C22×C4—301no—
593C22×C4—301no—
594C22×C4C2×D3×D511yescharacteristic
595SD16—302no—
596SD16—601no—
597SD16—601no—
598C2×C8—31no—
599C2×C8—31no—
600C2×C8—121no—
601C2×C8—151no—
602C2×C8—151no—
603C2×C8—601no—
604C4⋊C4—31no—
605C4⋊C4—31no—
606C4⋊C4—51no—
607C4⋊C4—51no—
608C4⋊C4—61no—
609C4⋊C4—101no—
610C4⋊C4—101no—
611C4⋊C4—101no—
612C4⋊C4—101no—
613C4⋊C4—101no—
614C4⋊C4—151no—
615C4⋊C4—301no—
616C4⋊C4—301no—
617C22⋊C4—51no—
618C22⋊C4—51no—
619C22⋊C4—101no—
620C22⋊C4—101no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C22⋊C4—301no—
624C42—51no—
625C42—101no—
626C3×C5#329811yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—52no—
630C22×C3—101no—
631C22×C3—101no—
632C22×C3D5×SD1612yes—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—201no—
635C2×D3—201no—
636C2×D3—201no—
637C3×C4—21no—
638C3×C4—22no—
639C3×C4—41no—
640C3×C4—52no—
641C3×C4—101no—
642C3×C4—101no—
643C3×C4—201no—
644C3×C4—201no—
645C3×C4C2×#70911yescharacteristic
646C3×C4#414411yescharacteristic
647Dic3—41no—
648Dic3—41no—
649Dic3—201no—
650C2×C5—22no—
651C2×C5#580611yescharacteristic
652C2×C5C22×#21511yescharacteristic
653C2×C5#583811yescharacteristic
654D5—22no—
655D5—241no—
656C23—51no—
657C23—301no—
658C23D5×#6711yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—42no—
663Q8—101no—
664Q8—101no—
665Q8—202no—
666Q8—602no—
667Q8#677912yescomplemented
668D4—54no—
669D4—301no—
670D4—301no—
671D4—602no—
672D4—602no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—42no—
678C2×C4—51no—
679C2×C4—51no—
680C2×C4—51no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—101no—
684C2×C4—101no—
685C2×C4—101no—
686C2×C4—101no—
687C2×C4—122no—
688C2×C4—202no—
689C2×C4—301no—
690C2×C4—602no—
691C2×C4—602no—
692C2×C4D5×#6711yescharacteristic
693C2×C4C22×D3×D511yescharacteristic
694C8—61no—
695C8—61no—
696C8—301no—
697C8—301no—
698C2×C3—22no—
699C2×C3—102no—
700C2×C3#6582411yescharacteristic
701C2×C3C2×D5×SD1611yescharacteristic
702C2×C3#6610011yescharacteristic
703D3—401no—
704C5#8355011yescharacteristic, complemented, Sylow
705C22—21no—
706C22—21no—
707C22—52no—
708C22—101no—
709C22—101no—
710C22—601no—
711C22—601no—
712C22—601no—
713C22D5×#21512yes—
714C22C2×D5×#6711yescharacteristic
715C4—21no—
716C4—22no—
717C4—41no—
718C4—52no—
719C4—101no—
720C4—101no—
721C4—121no—
722C4—121no—
723C4—201no—
724C4—201no—
725C4—601no—
726C4C2×#677911yescharacteristic
727C4#9204911yescharacteristic
728C3#1061053611yescharacteristic, complemented, Sylow
729C2—22no—
730C2—102no—
731C2—1201no—
732C2C2×D5×#21511yescharacteristic
733C2#1175510111yescharacteristic
734C2#1175538011yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×Q8C22
socleC22×C3×C5C22×D4
prime radical#11754325C2
hypercenterC22×Q8D3×D5
hypocenterC3×C5#3298
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C3×Q8×C22⋊D5C2semidirect
3. #11751328C2semidirect
4. C2×C5×#835C2semidirect
5. #11749349C2semidirect
6. #11749348C2semidirect
7. #11749269C2semidirect
8. #11749268C2semidirect
9. #11749222C2semidirect
10. #11749221C2semidirect
11. #11749196C2semidirect
12. D5×#835C2semidirect
13. #11748541C2semidirect
14. C3⋊C8×C22⋊D5C2semidirect
15. #11748401C2semidirect
61. Q8×C22⋊D5D3semidirect
134. C2×#835D5semidirect
195. C3×C5×Q8#41semidirect
210. C3×C22⋊D5SD16semidirect
424. C5×Q8#237semidirect
436. C22⋊D5#215semidirect
518. C3×Q8#709semidirect
626. C3×C5#3298semidirect
667. Q8#6779semidirect
704. C5#83550semidirect
728. C3#10610536semidirect

Maximal subgroups

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

subgroupindex
C3×Q8×C22⋊D52
#117543252
#117513282
C2×C5×#8352
#117493492
#117493482
#117492692
#117492682
#117492222
#117492212
#117491962
D5×#8352
#117485412
C3⋊C8×C22⋊D52
#117484012
#106105363
#835505