Finite Group Databasebeta

← #14458697

Subgroups — #14458697

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×#65847C211yesmaximal, characteristic, complemented
2#11754540C211yesmaximal, characteristic
3#11751072C211yesmaximal, characteristic, complemented
4C2×C5×#809C211yesmaximal, characteristic, complemented
5#11748560C211yesmaximal, characteristic, complemented
6#11748537C211yesmaximal, characteristic, complemented
7C3⋊C8×C22⋊D5C211yesmaximal, characteristic, complemented
8#11747511C211yesmaximal, characteristic, complemented
9#11747499C211yesmaximal, characteristic, complemented
10#11747370C211yesmaximal, characteristic, complemented
11#11747313C211yesmaximal, characteristic, complemented
12#11747309C211yesmaximal, characteristic, complemented
13#11747243C211yesmaximal, characteristic, complemented
14#11747218C211yesmaximal, characteristic, complemented
15#11747142C211yesmaximal, characteristic, complemented
16#10610490—31nomaximal, Hall
17C22×C5×D12C2211yescharacteristic
18C2×#6772C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20#91813C2211yescharacteristic
21C22×C5×C3⋊C8C2211yescharacteristic
22C3×#4075—21no—
23C3×C4×C22⋊D5C2211yescharacteristic
24C3×#4072—21no—
25C3×#4070C2211yescharacteristic
26C3×#4044—21no—
27C3×#4043C2211yescharacteristic, complemented
28C3×#4038C2211yescharacteristic, complemented
29C3×#4036C2211yescharacteristic, complemented
30C3×#4035—21no—
31C3×#4033C2211yescharacteristic, complemented
32#91568—21no—
33D3×C22⋊Dic5—21no—
34#91453—21no—
35#91449C2211yescharacteristic
36#91423—21no—
37Dic5×D12C2211yescharacteristic
38#91373C2211yescharacteristic
39C2×#6662C2211yescharacteristic, complemented
40C2×#6656C2211yescharacteristic
41C2×#6656C2211yescharacteristic
42C2×D5×C3⋊C8C2211yescharacteristic, complemented
43#91114C2211yescharacteristic
44#91094C2211yescharacteristic, complemented
45#91094C2211yescharacteristic, complemented
46#91092C2211yescharacteristic, complemented
47#91092C2211yescharacteristic, complemented
48C5×#809C2211yescharacteristic
49C5×#809C2211yescharacteristic
50C5×#809C2211yescharacteristic
51C5×#809C2211yescharacteristic
52#90990C2211yescharacteristic, complemented
53#90982C2211yescharacteristic, complemented
54#90974C2211yescharacteristic, complemented
55#90971C2211yescharacteristic, complemented
56#90966C2211yescharacteristic
57#90966C2211yescharacteristic
58#90955C2211yescharacteristic, complemented
59Dic5×C3⋊C8C2211yescharacteristic, complemented
60#83598—51nomaximal, Hall
61#66140—31no—
62#65847D311yescharacteristic, complemented
63C2×C5×#102—31no—
64#65507—31no—
65#65405—31no—
66C8×C22⋊D5—31no—
67#65260—31no—
68#65073—31no—
69#65072—31no—
70#65067—31no—
71#65061—31no—
72#65057—31no—
73#65056—31no—
74#65055—31no—
75#65047—31no—
76C23×C5×D3—21no—
77C22×C3×C4×C5—21no—
78C22×C3×C4×C5C2311yescharacteristic
79C2×Dic30C2311yescharacteristic
80C2×C5×D12—22no—
81C2×C5×D12—21no—
82C2×C5×D12—41no—
83C2×C5×D12C2311yescharacteristic
84C2×C5×D12C2311yescharacteristic
85C2×C3×C22⋊D5D411yescharacteristic
86C2×C3×C4×D5C2311yescharacteristic
87C2×C3×Dic10C2311yescharacteristic
88C2×#1201—21no—
89C2×#1201—21no—
90C2×D3×Dic5—21no—
91C2×D3×Dic5—21no—
92#6772—22no—
93#6772—41no—
94C3×C5×C4⋊C4—21no—
95C3×C5×C4⋊C4C2311yescharacteristic
96C3×C5×C4⋊C4C2311yescharacteristic
97#6719—21no—
98C4⋊Dic15C2311yescharacteristic
99#6712—21no—
100C2×C3⋊#168C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C2×C5×C3⋊C8—41no—
103C2×C5×C3⋊C8C2311yescharacteristic
104C2×C5×C3⋊C8C2311yescharacteristic
105C3×C22⋊Dic5—21no—
106C3×C22⋊Dic5D411yescharacteristic
107C3×#685—21no—
108C3×#685—21no—
109C3×#685D411yescharacteristic
110C3×C4⋊Dic5—21no—
111C3×C4⋊Dic5—21no—
112C3×C4⋊Dic5C2311yescharacteristic
113C3×#683—21no—
114C3×#683—21no—
115C3×#683—21no—
116C3×#683D411yescharacteristic
117C3×C4×Dic5—21no—
118C3×C4×Dic5—21no—
119C3×C4×Dic5C2311yescharacteristic
120(C2×D3)⋊Dic5—21no—
121(C2×D3)⋊Dic5—21no—
122(C2×D3)⋊Dic5—21no—
123(C2×D3)⋊Dic5—21no—
124#6662—41no—
125#6656—22no—
126#6656—41no—
127D5×C3⋊C8—41no—
128C3×#552—51no—
129#5550—51no—
130#5068—51no—
131#5066—51no—
132#5051—51no—
133#5048—51no—
134#5047—51no—
135#5046—51no—
136#5028—51no—
137C4×#215—51no—
138D4×C3⋊C8—51no—
139#5003—51no—
140#5002—51no—
141#4971—51no—
142C2×#809D511yescharacteristic, complemented
143C22×C5×D4—31no—
144C2×#711—31no—
145C22×C5×C8—31no—
146C2×C5×C4⋊C4C2×D311yescharacteristic
147#4099—61no—
148C2×C22⋊Dic5—61no—
149#4085—61no—
150#4084—31no—
151#4082—31no—
152#4081—61no—
153D4×Dic5—31no—
154C2×#687—31no—
155C2×#687—31no—
156#4075—21no—
157C4×C22⋊D5C2×D311yescharacteristic
158#4072—21no—
159#4070—31no—
160#4070C2×D311yescharacteristic
161C2×Dic20—31no—
162C2×C8×D5—31no—
163#4044—21no—
164#4043C2×D311yescharacteristic, complemented
165#4038C2×D311yescharacteristic, complemented
166#4036C2×D311yescharacteristic, complemented
167#4035—21no—
168#4033C2×D311yescharacteristic, complemented
169C5×#102—31no—
170C5×#102—31no—
171C5×#102—31no—
172C5×#102—31no—
173#3964—31no—
174#3964—31no—
175C22⋊#168—31no—
176#3952—31no—
177#3950—31no—
178#3948—31no—
179#3948—31no—
180#3946—31no—
181C8×Dic5—31no—
182#3942—31no—
183#3942—31no—
184#3940—31no—
185#3940—31no—
186#3296—151noSylow
187C23×C3×C5C2×D411yescharacteristic
188C22×C5×D3—21no—
189C22×C5×D3—21no—
190C22×C5×D3—42no—
191C22×C5×D3—42no—
192C22×C5×D3—81no—
193C22×C3×D5C2×D411yescharacteristic
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—21no—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5—42no—
199C2×C3×C4×C5C2×D411yescharacteristic
200C2×C3×C4×C5C2411yescharacteristic
201C2×Dic15—21no—
202C2×Dic15—21no—
203Dic30—21no—
204Dic30—21no—
205C5×D12—21no—
206C5×D12—21no—
207C5×D12—21no—
208C5×D12—42no—
209C5×D12#4112yes—
210C3×C22⋊D5—22no—
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×Dic10—21no—
219C3×Dic10—21no—
220#1201—42no—
221#1201—81no—
222D3×Dic5—42no—
223D3×Dic5—81no—
224C3⋊#168—21no—
225C3⋊#168—21no—
226C5×C3⋊C8—21no—
227C5×C3⋊C8—21no—
228C2×#235—51no—
229C22×D12C2×D511yescharacteristic
230C3×#126—101no—
231C3×#125—51no—
232C3×#125—101no—
233C3×#123—101no—
234C3×C22⋊Q8—51no—
235C3×C22⋊Q8—51no—
236C3×C4×Q8—51no—
237C3×C4×D4—51no—
238C3×#117—51no—
239C3×#117—101no—
240C2×C3×C4⋊C4C2×D511yescharacteristic
241C2×#216—51no—
242C2×#215—51no—
243C2×#215—51no—
244#937—101no—
245#930—51no—
246#924—51no—
247C22×C3⋊C8—51no—
248C22×C3⋊C8C2×D511yescharacteristic
249#894—101no—
250#884—101no—
251D3×C22⋊C4—101no—
252#875—51no—
253C4×D12—51no—
254#835—51no—
255#830—51no—
256#830—51no—
257#810—51no—
258#810—51no—
259#810—51no—
260#809—51no—
261#809—51no—
262#809C2×D511yescharacteristic
263#809C2×D511yescharacteristic
264#809C2×D511yescharacteristic
265#809C2×D511yescharacteristic
266#808—51no—
267#808—51no—
268#807—51no—
269C4⋊(C3⋊C8)—51no—
270C4×C3⋊C8—51no—
271C24×C5—61no—
272C2×C5×D4—31no—
273C2×C5×D4—31no—
274C2×C5×D4—62no—
275C2×C5×D4—61no—
276C2×C5×D4—121no—
277C22×C4×C5—21no—
278C22×C4×C5C22×D311yescharacteristic
279C2×C22⋊D5—61no—
280C2×C22⋊D5—61no—
281C2×C22⋊D5#6711yescharacteristic
282C22×Dic5—61no—
283C22×Dic5—61no—
284#711—62no—
285#711—121no—
286C2×C4×D5C22×D311yescharacteristic
287C2×Dic10—31no—
288C2×Dic10C22×D311yescharacteristic
289C2×C5×C8—31no—
290C2×C5×C8—31no—
291C2×C5×C8—121no—
292C5×C4⋊C4—21no—
293C5×C4⋊C4C22×D311yescharacteristic
294C5×C4⋊C4C22×D311yescharacteristic
295C22⋊Dic5—21no—
296C22⋊Dic5—61no—
297C22⋊Dic5—61no—
298C22⋊Dic5—61no—
299C22⋊Dic5—61no—
300C22⋊Dic5—61no—
301C22⋊Dic5#6711yescharacteristic
302#687—62no—
303#687—121no—
304#685—21no—
305#685—21no—
306#685#6711yescharacteristic
307C4⋊Dic5—21no—
308C4⋊Dic5—21no—
309C4⋊Dic5—31no—
310C4⋊Dic5C22×D311yescharacteristic
311#683—21no—
312#683—21no—
313#683—21no—
314#683—61no—
315#683#6711yescharacteristic
316C4×Dic5—21no—
317C4×Dic5—21no—
318C4×Dic5C22×D311yescharacteristic
319C2×#168—31no—
320C2×#168—31no—
321Dic20—121no—
322C8×D5—121no—
323#552—51no—
324#546—151no—
325#488—151no—
326#483—151no—
327#482—151no—
328#478—151no—
329#467—151no—
330#465—151no—
331#464—151no—
332#452—151no—
333#450—151no—
334C4×SD16—151no—
335C8×D4—151no—
336#416—151no—
337C2×#102—31no—
338C22×C3×C5—21no—
339C22×C3×C5—21no—
340C22×C3×C5#13512yes—
341C22×C3×C5C22×D411yescharacteristic
342C2×C5×D3—22no—
343C2×C5×D3—41no—
344C2×C5×D3—41no—
345C2×C5×D3—41no—
346C2×C5×D3—41no—
347C2×C5×D3—41no—
348C2×C5×D3—84no—
349C2×C3×D5—21no—
350C2×C3×D5—21no—
351C2×C3×D5—21no—
352C3×C4×C5—21no—
353C3×C4×C5—41no—
354C3×C4×C5—41no—
355C3×C4×C5C2×#4111yescharacteristic
356C3×C4×C5H(5,𝔽2)11yescharacteristic
357Dic15—41no—
358Dic15—41no—
359C3×Dic5—21no—
360C3×Dic5—21no—
361C3×Dic5—21no—
362C3×Dic5—41no—
363C3×Dic5—41no—
364C23×D3—21no—
365C2×C3×Q8—51no—
366C2×C3×D4—51no—
367C22×C3×C4—21no—
368C22×C3×C4—51no—
369C22×C3×C4C22×D511yescharacteristic
370C2×#67—101no—
371C2×#67—101no—
372#235—102no—
373#235—201no—
374C2×D12—22no—
375C2×D12—21no—
376C2×D12—41no—
377C2×D12C22×D511yescharacteristic
378C2×D12C22×D511yescharacteristic
379C2×C4×D3—101no—
380C2×C4×D3—101no—
381C2×Dic6—51no—
382C3×C4⋊C4—21no—
383C3×C4⋊C4—51no—
384C3×C4⋊C4—51no—
385C3×C4⋊C4—101no—
386C3×C4⋊C4—101no—
387C3×C4⋊C4—101no—
388C3×C4⋊C4—101no—
389C3×C4⋊C4—101no—
390C3×C4⋊C4C22×D511yescharacteristic
391C3×C4⋊C4C22×D511yescharacteristic
392C3×C22⋊C4—51no—
393C3×C22⋊C4—51no—
394C3×C22⋊C4—101no—
395C3×C22⋊C4—101no—
396C3×C22⋊C4—101no—
397C3×C42—51no—
398C3×C42—101no—
399C3×C42—101no—
400#217—101no—
401#216—201no—
402#215—102no—
403#215—201no—
404(C2×D3)⋊C4—101no—
405(C2×D3)⋊C4—101no—
406(C2×D3)⋊C4—101no—
407(C2×D3)⋊C4—101no—
408C4⋊Dic3—51no—
409Dic3⋊C4—101no—
410C2×C3⋊C8—41no—
411C2×C3⋊C8—51no—
412C2×C3⋊C8—51no—
413C2×C3⋊C8—201no—
414C2×C3⋊C8C22×D511yescharacteristic
415C2×C3⋊C8C22×D511yescharacteristic
416C23×C5—61no—
417C23×C5—61no—
418C23×C5—122no—
419C23×C5—122no—
420C23×C5—241no—
421C23×C5C2×#6711yescharacteristic
422C22×D5C2×#6711yescharacteristic
423C5×D4—32no—
424C5×D4—61no—
425C5×D4—61no—
426C5×D4—61no—
427C5×D4—122no—
428C2×C4×C5—21no—
429C2×C4×C5—21no—
430C2×C4×C5—21no—
431C2×C4×C5—21no—
432C2×C4×C5—42no—
433C2×C4×C5C2×#6711yescharacteristic
434C2×C4×C5C23×D311yescharacteristic
435C22⋊D5—22no—
436C22⋊D5—122no—
437C22⋊D5—241no—
438C2×Dic5—21no—
439C2×Dic5—21no—
440C2×Dic5—61no—
441C2×Dic5—61no—
442C2×Dic5—122no—
443C2×Dic5—241no—
444C2×Dic5C2×#6711yescharacteristic
445C2×Dic5C2×#6711yescharacteristic
446C2×Dic5C2×#6711yescharacteristic
447C4×D5—21no—
448C4×D5—21no—
449Dic10—21no—
450Dic10—21no—
451Dic10—61no—
452Dic10—61no—
453C5×C8—61no—
454C5×C8—61no—
455#168—61no—
456#168—61no—
457C2×#41—151no—
458C22×D4—31no—
459C2×Q16—151no—
460C2×SD16—151no—
461C2×SD16—151no—
462C22×C8—31no—
463C22×C8—151no—
464#126—101no—
465#125—51no—
466#125—101no—
467#124—151no—
468#123—101no—
469#123—301no—
470C22⋊Q8—51no—
471C22⋊Q8—51no—
472C22⋊Q8—151no—
473#121—151no—
474#121—301no—
475#120—301no—
476C4×Q8—51no—
477C4×D4—51no—
478C4×D4—151no—
479#117—51no—
480#117—101no—
481C2×C4⋊C4D3×D511yescharacteristic
482C2×C22⋊C4—301no—
483#107—151no—
484#106—151no—
485#106—151no—
486C4⋊C8—151no—
487#103—151no—
488#103—151no—
489#103—151no—
490#103—151no—
491#102—31no—
492#102—31no—
493#102—31no—
494#102—31no—
495#102—151no—
496#102—151no—
497C22⋊C8—151no—
498C22⋊C8—151no—
499C4×C8—151no—
500C2×C3×C5—22no—
501C2×C3×C5#54611yescharacteristic
502C2×C3×C5C2×#13511yescharacteristic
503C2×C3×C5#57711yescharacteristic
504C3×D5—41no—
505C5×D3—42no—
506C5×D3—81no—
507C23×C3—51no—
508C23×C3D4×D511yescharacteristic
509C22×D3—21no—
510C22×D3—21no—
511C22×D3—42no—
512C22×D3—42no—
513C22×D3—81no—
514C3×Q8—101no—
515C3×Q8—101no—
516C3×D4—102no—
517C2×C3×C4—21no—
518C2×C3×C4—21no—
519C2×C3×C4—21no—
520C2×C3×C4—21no—
521C2×C3×C4—42no—
522C2×C3×C4—51no—
523C2×C3×C4—51no—
524C2×C3×C4—51no—
525C2×C3×C4—101no—
526C2×C3×C4—101no—
527C2×C3×C4—101no—
528C2×C3×C4—101no—
529C2×C3×C4D4×D511yescharacteristic
530C2×C3×C4C23×D511yescharacteristic
531#67—202no—
532#67—401no—
533C2×Dic3—101no—
534C2×Dic3—101no—
535D12—21no—
536D12—21no—
537D12—21no—
538D12—42no—
539D12#70912yes—
540C4×D3—202no—
541C4×D3—401no—
542Dic6—101no—
543Dic6—101no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—101no—
547C3⋊C8—101no—
548C22×C5—21no—
549C22×C5—21no—
550C22×C5—62no—
551C22×C5—121no—
552C22×C5—121no—
553C22×C5—121no—
554C22×C5—121no—
555C22×C5—121no—
556C22×C5—244no—
557C22×C5#95012yes—
558C22×C5C22×#6711yescharacteristic
559C2×D5—21no—
560C2×D5—21no—
561C2×D5—21no—
562C4×C5—21no—
563C4×C5—41no—
564C4×C5—41no—
565C4×C5D3×#4111yescharacteristic
566C4×C5#100911yescharacteristic
567Dic5—21no—
568Dic5—21no—
569Dic5—21no—
570Dic5—41no—
571Dic5—41no—
572Dic5—121no—
573Dic5—121no—
574C24—61no—
575#41—302no—
576#41—601no—
577C2×Q8—51no—
578C2×Q8—151no—
579C2×D4—31no—
580C2×D4—31no—
581C2×D4—51no—
582C2×D4—62no—
583C2×D4—61no—
584C2×D4—121no—
585C2×D4—301no—
586C2×D4—301no—
587C22×C4—21no—
588C22×C4—51no—
589C22×C4—301no—
590C22×C4—301no—
591C22×C4C2×D3×D511yescharacteristic
592Q16—601no—
593SD16—302no—
594SD16—601no—
595C2×C8—31no—
596C2×C8—31no—
597C2×C8—121no—
598C2×C8—151no—
599C2×C8—151no—
600C2×C8—601no—
601C4⋊C4—21no—
602C4⋊C4—51no—
603C4⋊C4—51no—
604C4⋊C4—101no—
605C4⋊C4—101no—
606C4⋊C4—101no—
607C4⋊C4—101no—
608C4⋊C4—101no—
609C4⋊C4—151no—
610C4⋊C4—301no—
611C4⋊C4C2×D3×D511yescharacteristic
612C4⋊C4C2×D3×D511yescharacteristic
613C22⋊C4—51no—
614C22⋊C4—51no—
615C22⋊C4—101no—
616C22⋊C4—101no—
617C22⋊C4—101no—
618C22⋊C4—301no—
619C22⋊C4—301no—
620C22⋊C4—301no—
621C22⋊C4—301no—
622C22⋊C4—301no—
623C42—51no—
624C42—101no—
625C42—101no—
626C3×C5#329611yescharacteristic, complemented, Hall
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—101no—
630C22×C3—101no—
631C22×C3—101no—
632C22×C3#405812yes—
633C22×C3C2×D4×D511yescharacteristic
634C2×D3—22no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—84no—
641C3×C4—21no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—101no—
645C3×C4—101no—
646C3×C4—101no—
647C3×C4—201no—
648C3×C4—201no—
649C3×C4C2×#70911yescharacteristic
650C3×C4#414411yescharacteristic
651Dic3—201no—
652Dic3—201no—
653C2×C5—22no—
654C2×C5—122no—
655C2×C5—241no—
656C2×C5C2×#95011yescharacteristic
657C2×C5#582911yescharacteristic
658C2×C5#583711yescharacteristic
659D5—41no—
660C23—51no—
661C23—61no—
662C23—61no—
663C23—122no—
664C23—122no—
665C23—241no—
666C23D5×#6711yescharacteristic
667Q8—101no—
668Q8—101no—
669Q8—301no—
670Q8—301no—
671D4—32no—
672D4—61no—
673D4—61no—
674D4—61no—
675D4—102no—
676D4—122no—
677D4—602no—
678D4—1201no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—42no—
684C2×C4—51no—
685C2×C4—51no—
686C2×C4—51no—
687C2×C4—101no—
688C2×C4—101no—
689C2×C4—101no—
690C2×C4—101no—
691C2×C4—301no—
692C2×C4—301no—
693C2×C4—602no—
694C2×C4—1201no—
695C2×C4D5×#6711yescharacteristic
696C2×C4C22×D3×D511yescharacteristic
697C8—61no—
698C8—61no—
699C8—301no—
700C8—301no—
701C2×C3—22no—
702C2×C3—201no—
703C2×C3#6582411yescharacteristic
704C2×C3C2×#405811yescharacteristic
705C2×C3#6609611yescharacteristic
706D3—42no—
707D3—81no—
708C5#8359811yescharacteristic, complemented, Sylow
709C22—21no—
710C22—21no—
711C22—62no—
712C22—101no—
713C22—101no—
714C22—101no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—244no—
721C22#9149012yes—
722C22C2×D5×#6711yescharacteristic
723C4—21no—
724C4—41no—
725C4—41no—
726C4—101no—
727C4—101no—
728C4—101no—
729C4—201no—
730C4—201no—
731C4—601no—
732C4—601no—
733C4D3×#70911yescharacteristic
734C4#9201811yescharacteristic
735C3#1061049011yescharacteristic, complemented, Sylow
736C2—22no—
737C2—122no—
738C2—201no—
739C2—241no—
740C2#1175463611yescharacteristic
741C2C2×#9149011yescharacteristic
742C2#1175508511yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC22×C3×C5C22×D4
prime radical#11754540C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5#3296
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C3×#65847C2semidirect
3. #11751072C2semidirect
4. C2×C5×#809C2semidirect
5. #11748560C2semidirect
6. #11748537C2semidirect
7. C3⋊C8×C22⋊D5C2semidirect
8. #11747511C2semidirect
9. #11747499C2semidirect
10. #11747370C2semidirect
11. #11747313C2semidirect
12. #11747309C2semidirect
13. #11747243C2semidirect
14. #11747218C2semidirect
15. #11747142C2semidirect
27. C3×#4043C22semidirect
28. C3×#4038C22semidirect
29. C3×#4036C22semidirect
31. C3×#4033C22semidirect
39. C2×#6662C22semidirect
42. C2×D5×C3⋊C8C22semidirect
44. #91094C22semidirect
45. #91094C22semidirect
46. #91092C22semidirect
47. #91092C22semidirect
52. #90990C22semidirect
53. #90982C22semidirect
54. #90974C22semidirect
55. #90971C22semidirect
58. #90955C22semidirect
59. Dic5×C3⋊C8C22semidirect
62. #65847D3semidirect
142. C2×#809D5semidirect
164. #4043C2×D3semidirect
165. #4038C2×D3semidirect
166. #4036C2×D3semidirect
168. #4033C2×D3semidirect
626. C3×C5#3296semidirect
708. C5#83598semidirect
735. C3#10610490semidirect

Maximal subgroups

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

subgroupindex
C3×#658472
#117545402
#117510722
C2×C5×#8092
#117485602
#117485372
C3⋊C8×C22⋊D52
#117475112
#117474992
#117473702
#117473132
#117473092
#117472432
#117472182
#117471422
#106104903
#835985