Finite Group Databasebeta

← #14430807

Subgroups — #14430807

Order 1920.

796 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#5689C211yesmaximal, characteristic, complemented
2#11752727C211yesmaximal, characteristic
3#11751167C211yesmaximal, characteristic, complemented
4C3×#65355C211yesmaximal, characteristic, complemented
5#11747477C211yesmaximal, characteristic
6D3×#3941C211yesmaximal, characteristic
7#11747455C211yesmaximal, characteristic, complemented
8#11747435C211yesmaximal, characteristic, complemented
9#11747251C211yesmaximal, characteristic, complemented
10#11747250C211yesmaximal, characteristic, complemented
11#11747248C211yesmaximal, characteristic, complemented
12#11747245C211yesmaximal, characteristic, complemented
13#11746993C211yesmaximal, characteristic, complemented
14#11746966C211yesmaximal, characteristic, complemented
15#11746880C211yesmaximal, characteristic, complemented
16#10615205—31nomaximal, Hall
17C2×D3×D20C2211yescharacteristic
18C3×C5×#125C2211yescharacteristic, complemented
19C4×D60C2211yescharacteristic
20C5×#897—21no—
21C5×#896—21no—
22C5×#892C2211yescharacteristic
23C5×D3×C4⋊C4C2211yescharacteristic
24C5×#890C2211yescharacteristic, complemented
25C5×#889—21no—
26C5×#888—21no—
27C5×#888C2211yescharacteristic, complemented
28C5×#872C2211yescharacteristic
29C5×#869C2211yescharacteristic, complemented
30C3×C4×D20C2211yescharacteristic
31#91473—21no—
32D5×(C2×D3)⋊C4—21no—
33#91444—21no—
34#91428C2211yescharacteristic
35Dic3×D20C2211yescharacteristic
36#91396—21no—
37#91338C2211yescharacteristic
38C2×#6650C2211yescharacteristic
39C2×D3×#168C2211yescharacteristic
40#91093C2211yescharacteristic
41#91093C2211yescharacteristic
42#91092C2211yescharacteristic, complemented
43#91091C2211yescharacteristic, complemented
44C4⋊(C3⋊#168)C2211yescharacteristic, complemented
45C3×#3941C2211yescharacteristic
46C3×#3941C2211yescharacteristic
47C3×#3940C2211yescharacteristic, complemented
48C3×#3939C2211yescharacteristic, complemented
49C3×C4⋊#168C2211yescharacteristic, complemented
50#90988C2211yescharacteristic, complemented
51#90988C2211yescharacteristic, complemented
52#90986C2211yescharacteristic, complemented
53#90986C2211yescharacteristic, complemented
54Dic3⋊#168C2211yescharacteristic, complemented
55Dic3⋊#168C2211yescharacteristic, complemented
56#90969C2211yescharacteristic
57#90969C2211yescharacteristic
58#90964C2211yescharacteristic
59#90964C2211yescharacteristic
60#81169—51nomaximal, Hall
61C5×#544—31no—
62#65855—31no—
63#65376—31no—
64#65376—31no—
65#65373—31no—
66#65373—31no—
67#65355—31no—
68#65355—31no—
69#65355—31no—
70#65355D311yescharacteristic, complemented
71#65290—31no—
72#65288—31no—
73#65287—31no—
74C2×#3941—31no—
75#65253—31no—
76C22×D3×D5—21no—
77C2×D60C2311yescharacteristic
78C2×C4×D15—21no—
79C2×C4×C5×D3—21no—
80C2×C4×C5×D3C2311yescharacteristic
81C2×C5×Dic6—21no—
82C2×C5×Dic6—21no—
83C2×C3×D20C2311yescharacteristic
84C2×C3×C4×D5—21no—
85C2×#1202—21no—
86C2×#1200—21no—
87C2×D5×Dic3—21no—
88D3×D20—22no—
89D3×D20Q814yescomplemented
90C3×C5×C4⋊C4—21no—
91C3×C5×C4⋊C4—21no—
92C3×C5×C4⋊C4C2311yescharacteristic
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C42×C5C2311yescharacteristic
95#6714—21no—
96C4⋊Dic15C2311yescharacteristic
97C2×C3⋊#168C2311yescharacteristic
98C2×C3⋊#168C2311yescharacteristic
99C5×(C2×D3)⋊C4—21no—
100C5×(C2×D3)⋊C4D411yescharacteristic
101C5×(C2×D3)⋊C4D411yescharacteristic
102C5×C4⋊Dic3—21no—
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3C2311yescharacteristic
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C5×Dic3⋊C4D411yescharacteristic
110C5×Dic3⋊C4D411yescharacteristic
111C4×C5×Dic3—21no—
112C4×C5×Dic3C2311yescharacteristic
113C3×#685—21no—
114C3×C4⋊Dic5C2311yescharacteristic
115C2×C3×#168C2311yescharacteristic
116C2×C3×#168C2311yescharacteristic
117#6667—21no—
118(C2×D3)⋊Dic5—21no—
119#6665—21no—
120Dic3×Dic5—21no—
121#6650—22no—
122D3×#168—22no—
123#5689D511yescharacteristic, complemented
124#5545—51no—
125C3×#478—51no—
126#5066—51no—
127#5008—51no—
128#4891—51no—
129#4880—51no—
130#4870—51no—
131#4861—51no—
132#4846—51no—
133#4839—51no—
134#4770—51no—
135D3×#102—51no—
136#4766—51no—
137#4759—51no—
138C22×D20—31no—
139C5×C4⋊Q8—31no—
140C5×C4⋊Q8—31no—
141C5×C4⋊Q8—61no—
142C5×#125—31no—
143C5×#125—61no—
144C5×#125C2×D311yescharacteristic, complemented
145C5×C22⋊Q8—61no—
146C5×C22⋊Q8—61no—
147C5×#117—31no—
148C5×#117—31no—
149C2×C5×C4⋊C4—31no—
150#4072—31no—
151C2×#681—31no—
152C22×#168—31no—
153#4039—61no—
154#4039—61no—
155D5×C22⋊C4—61no—
156D5×C22⋊C4—61no—
157C4×D20—31no—
158C4×D20—31no—
159C4×D20—31no—
160C4×D20C2×D311yescharacteristic
161#3941—31no—
162#3941—31no—
163#3941—31no—
164#3941—31no—
165#3941—31no—
166#3941—31no—
167#3941C2×D311yescharacteristic
168#3941C2×D311yescharacteristic
169#3940—31no—
170#3940—31no—
171#3940—31no—
172#3940C2×D311yescharacteristic, complemented
173#3939—31no—
174#3939—31no—
175#3939—31no—
176#3939C2×D311yescharacteristic, complemented
177C4⋊#168—31no—
178C4⋊#168—31no—
179C4⋊#168—31no—
180C4⋊#168C2×D311yescharacteristic, complemented
181#3081—151noSylow
182C22×D15—21no—
183C22×C5×D3C2×D411yescharacteristic
184C22×C3×D5—21no—
185C2×D3×D5—24no—
186C2×D3×D5—81no—
187C2×D3×D5—81no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5C2×D411yescharacteristic
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2411yescharacteristic
193C2×Dic15—21no—
194D60—21no—
195D60C2×Q812yes—
196C4×D15—81no—
197C2×C5×Dic3—21no—
198C2×C5×Dic3—21no—
199C2×C5×Dic3C2×D411yescharacteristic
200C2×C5×Dic3C2×D411yescharacteristic
201C2×C5×Dic3C2×D411yescharacteristic
202C4×C5×D3—81no—
203C4×C5×D3C2×Q812yes—
204C4×C5×D3#4112yes—
205C5×Dic6—81no—
206C5×Dic6—81no—
207C2×C3×Dic5—21no—
208C3×D20—21no—
209C3×D20C2×Q812yes—
210C3×C4×D5—81no—
211#1202—24no—
212#1200—81no—
213D5×Dic3—81no—
214C3⋊#168—21no—
215C3⋊#168—21no—
216C3×#168—21no—
217C3×#168—21no—
218C2×D3×D4—51no—
219C3×#125C2×D511yescharacteristic, complemented
220C3×C4×D4—51no—
221D4×Dic3—51no—
222C4×#67—101no—
223C2×(C2×D3)⋊C4—101no—
224C2×ΓL(1,𝔽25)—51no—
225C2×D3×C8—51no—
226#897—21no—
227#896—21no—
228#893—51no—
229#892—51no—
230#892C2×D511yescharacteristic
231D3×C4⋊C4C2×D511yescharacteristic
232#890C2×D511yescharacteristic, complemented
233#889—21no—
234#888—21no—
235#888C2×D511yescharacteristic, complemented
236#67⋊C4—101no—
237D3×C22⋊C4—101no—
238C4×D12—51no—
239#872C2×D511yescharacteristic
240#869C2×D511yescharacteristic, complemented
241C3×#107—51no—
242C3×#106—51no—
243C3×C4⋊C8—51no—
244C3×#102—51no—
245C3×#102—51no—
246#832—51no—
247#832—51no—
248#821—51no—
249#821—51no—
250#818—51no—
251#818—51no—
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254#809—51no—
255#809—51no—
256#808—51no—
257#808—51no—
258#808—51no—
259#807—51no—
260C4⋊(C3⋊C8)—51no—
261C23×D5—61no—
262C2×C5×Q8—61no—
263C2×C5×Q8—61no—
264C22×C4×C5—31no—
265C22×C4×C5—61no—
266C2×D20—31no—
267C2×D20—34no—
268C2×D20—62no—
269C2×D20—61no—
270C2×D20C22×D311yescharacteristic
271C2×C4×D5—21no—
272C2×C4×D5—61no—
273C2×C4×D5—61no—
274C2×C4×D5—61no—
275C5×C4⋊C4—21no—
276C5×C4⋊C4—21no—
277C5×C4⋊C4—31no—
278C5×C4⋊C4—31no—
279C5×C4⋊C4—31no—
280C5×C4⋊C4—31no—
281C5×C4⋊C4—61no—
282C5×C4⋊C4—61no—
283C5×C4⋊C4—61no—
284C5×C4⋊C4—61no—
285C5×C4⋊C4—61no—
286C5×C4⋊C4C22×D311yescharacteristic
287C5×C4⋊C4C22×D311yescharacteristic
288C5×C22⋊C4—31no—
289C5×C22⋊C4—31no—
290C5×C22⋊C4—61no—
291C42×C5—31no—
292C42×C5—61no—
293C42×C5C22×D311yescharacteristic
294C22⋊Dic5—61no—
295#685—21no—
296#685—61no—
297#685—61no—
298#685—61no—
299C4⋊Dic5—31no—
300C4⋊Dic5C22×D311yescharacteristic
301C4×Dic5—61no—
302#681—62no—
303C2×#168—31no—
304C2×#168—31no—
305C2×#168—62no—
306C2×#168C22×D311yescharacteristic
307C2×#168C22×D311yescharacteristic
308#544—31no—
309#518—151no—
310#478—51no—
311#478—151no—
312#478—151no—
313#478—151no—
314#476—151no—
315#476—151no—
316#474—151no—
317#474—151no—
318#428—151no—
319#427—151no—
320#424—151no—
321#418—151no—
322C2×#102—151no—
323C22×C3×C5C22×D411yescharacteristic
324C2×D15—22no—
325C2×D15—41no—
326C2×D15—41no—
327C2×C5×D3—21no—
328C2×C5×D3—21no—
329C2×C5×D3C22⋊Q812yes—
330C2×C3×D5—22no—
331C2×C3×D5—41no—
332C2×C3×D5—41no—
333D3×D5—84no—
334C3×C4×C5—21no—
335C3×C4×C5—21no—
336C3×C4×C5—41no—
337C3×C4×C5—41no—
338C3×C4×C5C22×Q811yescharacteristic
339C3×C4×C5C2×#4111yescharacteristic
340Dic15—41no—
341C3×Dic5—41no—
342C5×Dic3—21no—
343C5×Dic3—21no—
344C5×Dic3—41no—
345C5×Dic3—41no—
346C5×Dic3C22⋊Q812yes—
347C23×D3—101no—
348C2×C3×D4—51no—
349C22×C3×C4—101no—
350C2×#67—101no—
351C22×Dic3—101no—
352D3×D4—54no—
353D3×D4—102no—
354C2×D12—51no—
355C2×C4×D3—21no—
356C2×C4×D3—101no—
357C2×C4×D3—101no—
358C2×C4×D3C22×D511yescharacteristic
359C2×Dic6—21no—
360C2×Dic6—21no—
361C2×C3×C8—51no—
362C2×C3×C8—51no—
363C3×C4⋊C4—21no—
364C3×C4⋊C4—21no—
365C3×C4⋊C4—51no—
366C3×C4⋊C4C22×D511yescharacteristic
367C3×C4⋊C4C22×D511yescharacteristic
368C3×C22⋊C4—101no—
369C3×C42C22×D511yescharacteristic
370#217—101no—
371(C2×D3)⋊C4—21no—
372(C2×D3)⋊C4—101no—
373(C2×D3)⋊C4—101no—
374(C2×D3)⋊C4—101no—
375(C2×D3)⋊C4C22⋊D511yescharacteristic
376(C2×D3)⋊C4C22⋊D511yescharacteristic
377C4⋊Dic3—21no—
378C4⋊Dic3—21no—
379C4⋊Dic3—51no—
380C4⋊Dic3C22×D511yescharacteristic
381C4⋊Dic3C22×D511yescharacteristic
382Dic3⋊C4—21no—
383Dic3⋊C4—21no—
384Dic3⋊C4—21no—
385Dic3⋊C4C22⋊D511yescharacteristic
386Dic3⋊C4C22⋊D511yescharacteristic
387C4×Dic3—21no—
388C4×Dic3—101no—
389C4×Dic3C22×D511yescharacteristic
390C2×C3⋊C8—51no—
391C2×C3⋊C8—51no—
392ΓL(1,𝔽25)—102no—
393D3×C8—102no—
394C23×C5—31no—
395C22×D5—21no—
396C22×D5—64no—
397C22×D5—61no—
398C22×D5—241no—
399C22×D5—241no—
400C5×Q8—241no—
401C5×Q8—241no—
402C2×C4×C5—21no—
403C2×C4×C5—21no—
404C2×C4×C5—31no—
405C2×C4×C5—32no—
406C2×C4×C5—32no—
407C2×C4×C5—31no—
408C2×C4×C5—31no—
409C2×C4×C5—61no—
410C2×C4×C5—61no—
411C2×C4×C5—241no—
412C2×C4×C5D3×D411yescharacteristic
413C2×C4×C5D3×D411yescharacteristic
414C2×C4×C5C23×D311yescharacteristic
415C2×Dic5—21no—
416C2×Dic5—61no—
417D20—21no—
418D20—32no—
419D20—64no—
420D20—61no—
421D20D3×Q812yes—
422C4×D5—81no—
423C4×D5—241no—
424C4×D5—241no—
425C4×D5—241no—
426#168—21no—
427#168—21no—
428#168—61no—
429#168—61no—
430C22×D4—151no—
431C2×M16—151no—
432C22×C8—151no—
433C4⋊Q8—31no—
434C4⋊Q8—31no—
435C4⋊Q8—61no—
436#125—31no—
437#125—61no—
438#125D3×D511yescharacteristic, complemented
439C22⋊Q8—61no—
440C22⋊Q8—61no—
441C4×D4—51no—
442C4×D4—151no—
443C4×D4—151no—
444C4×D4—151no—
445C4×D4—301no—
446C4×D4—301no—
447#117—31no—
448#117—31no—
449#117—151no—
450C2×C4⋊C4—31no—
451C2×C22⋊C4—301no—
452C2×C22⋊C4—301no—
453#107—51no—
454#107—151no—
455#107—151no—
456#107—151no—
457#106—51no—
458#106—151no—
459#106—151no—
460#106—151no—
461C4⋊C8—51no—
462C4⋊C8—151no—
463C4⋊C8—151no—
464C4⋊C8—151no—
465#102—51no—
466#102—51no—
467#102—151no—
468#102—151no—
469#102—151no—
470#102—151no—
471#102—151no—
472#102—151no—
473C2×C3×C5C2×C22⋊Q811yescharacteristic
474C2×C3×C5#57611yescharacteristic
475C2×C3×C5#57711yescharacteristic
476D15—42no—
477C3×D5—42no—
478C5×D3—22no—
479C23×C3—101no—
480C22×D3—101no—
481C22×D3—104no—
482C22×D3—401no—
483C22×D3—401no—
484C22×D3C2×C22⋊D511yescharacteristic
485C3×D4—52no—
486C3×D4—101no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—101no—
490C2×C3×C4—401no—
491C2×C3×C4C2×C22⋊D511yescharacteristic
492C2×C3×C4C2×C22⋊D511yescharacteristic
493C2×C3×C4C23×D511yescharacteristic
494#67—104no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—101no—
498C2×Dic3—401no—
499C2×Dic3C2×C22⋊D511yescharacteristic
500C2×Dic3C2×C22⋊D511yescharacteristic
501C2×Dic3C2×C22⋊D511yescharacteristic
502D12—52no—
503D12—101no—
504C4×D3—81no—
505C4×D3—401no—
506C4×D3—401no—
507C4×D3Q8×D512yes—
508C4×D3#71312yes—
509Dic6—81no—
510Dic6—81no—
511C3×C8—101no—
512C3×C8—101no—
513C3⋊C8—101no—
514C3⋊C8—101no—
515C22×C5—32no—
516C22×C5—61no—
517C22×C5—61no—
518C22×C5C2×D3×D411yescharacteristic
519C2×D5—22no—
520C2×D5—41no—
521C2×D5—41no—
522C2×D5—62no—
523C2×D5—121no—
524C2×D5—121no—
525C2×D5—244no—
526C4×C5—21no—
527C4×C5—21no—
528C4×C5—32no—
529C4×C5—41no—
530C4×C5—41no—
531C4×C5—61no—
532C4×C5—61no—
533C4×C5—121no—
534C4×C5—121no—
535C4×C5C2×D3×Q811yescharacteristic
536C4×C5D3×#4111yescharacteristic
537Dic5—41no—
538Dic5—121no—
539C24—301no—
540C2×Q8—61no—
541C2×Q8—61no—
542C2×D4—51no—
543C2×D4—154no—
544C2×D4—151no—
545C2×D4—302no—
546C2×D4—301no—
547C22×C4—31no—
548C22×C4—61no—
549C22×C4—101no—
550C22×C4—301no—
551C22×C4—301no—
552C22×C4—301no—
553M16—302no—
554C2×C8—51no—
555C2×C8—51no—
556C2×C8—151no—
557C2×C8—151no—
558C2×C8—302no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—31no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—51no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—151no—
572C4⋊C4C2×D3×D511yescharacteristic
573C4⋊C4C2×D3×D511yescharacteristic
574C22⋊C4—31no—
575C22⋊C4—31no—
576C22⋊C4—61no—
577C22⋊C4—101no—
578C22⋊C4—301no—
579C22⋊C4—301no—
580C22⋊C4—301no—
581C22⋊C4—301no—
582C42—31no—
583C42—61no—
584C42—301no—
585C42C2×D3×D511yescharacteristic
586C3×C5#308111yescharacteristic, complemented, Hall
587C22×C3—102no—
588C22×C3—201no—
589C22×C3—201no—
590C22×C3C22×C22⋊D511yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—102no—
594C2×D3—201no—
595C2×D3—201no—
596C2×D3—404no—
597C2×D3#409212yes—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—41no—
601C3×C4—41no—
602C3×C4—201no—
603C3×C4C2×Q8×D511yescharacteristic
604C3×C4C2×#71311yescharacteristic
605Dic3—21no—
606Dic3—21no—
607Dic3—41no—
608Dic3—41no—
609Dic3—201no—
610Dic3#409212yes—
611C2×C5—62no—
612C2×C5D3×C22⋊Q811yescharacteristic
613C2×C5#576911yescharacteristic
614C2×C5#577511yescharacteristic
615D5—42no—
616D5—122no—
617C23—31no—
618C23—101no—
619C23—304no—
620C23—301no—
621C23—1201no—
622C23—1201no—
623Q8—241no—
624Q8—241no—
625D4—52no—
626D4—101no—
627D4—152no—
628D4—304no—
629D4—301no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—31no—
633C2×C4—32no—
634C2×C4—32no—
635C2×C4—31no—
636C2×C4—31no—
637C2×C4—61no—
638C2×C4—61no—
639C2×C4—101no—
640C2×C4—241no—
641C2×C4—301no—
642C2×C4—401no—
643C2×C4—1201no—
644C2×C4—1201no—
645C2×C4—1201no—
646C2×C4D3×C22⋊D511yescharacteristic
647C2×C4D3×C22⋊D511yescharacteristic
648C2×C4C22×D3×D511yescharacteristic
649C8—101no—
650C8—101no—
651C8—301no—
652C8—301no—
653C2×C3—202no—
654C2×C3C2×#409211yescharacteristic
655C2×C3#6616911yescharacteristic
656C2×C3#6617111yescharacteristic
657D3—22no—
658D3—202no—
659C5#8116911yescharacteristic, complemented, Sylow
660C22—32no—
661C22—61no—
662C22—61no—
663C22—102no—
664C22—201no—
665C22—201no—
666C22—302no—
667C22—601no—
668C22—601no—
669C22—1204no—
670C22C2×D3×C22⋊D511yescharacteristic
671C4—21no—
672C4—21no—
673C4—32no—
674C4—41no—
675C4—41no—
676C4—61no—
677C4—61no—
678C4—121no—
679C4—121no—
680C4—201no—
681C4—601no—
682C4D3×Q8×D511yescharacteristic
683C4D3×#71311yescharacteristic
684C3#1061520511yescharacteristic, complemented, Sylow
685C2—62no—
686C2—202no—
687C2—602no—
688C2D3×#409211yescharacteristic
689C2#1175532411yescharacteristic
690C2#1175532511yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#125C22
socleC22×C3×C5C22×D4
prime radicalC2×D3×D20C22
hypercenter#125D3×D5
hypocenterC3×C5#3081
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C5×#5689C2semidirect
3. #11751167C2semidirect
4. C3×#65355C2semidirect
7. #11747455C2semidirect
8. #11747435C2semidirect
9. #11747251C2semidirect
10. #11747250C2semidirect
11. #11747248C2semidirect
12. #11747245C2semidirect
13. #11746993C2semidirect
14. #11746966C2semidirect
15. #11746880C2semidirect
18. C3×C5×#125C22semidirect
24. C5×#890C22semidirect
27. C5×#888C22semidirect
29. C5×#869C22semidirect
42. #91092C22semidirect
43. #91091C22semidirect
44. C4⋊(C3⋊#168)C22semidirect
47. C3×#3940C22semidirect
48. C3×#3939C22semidirect
49. C3×C4⋊#168C22semidirect
50. #90988C22semidirect
51. #90988C22semidirect
52. #90986C22semidirect
53. #90986C22semidirect
54. Dic3⋊#168C22semidirect
55. Dic3⋊#168C22semidirect
70. #65355D3semidirect
89. D3×D20Q8semidirect
123. #5689D5semidirect
144. C5×#125C2×D3semidirect
172. #3940C2×D3semidirect
176. #3939C2×D3semidirect
180. C4⋊#168C2×D3semidirect
219. C3×#125C2×D5semidirect
232. #890C2×D5semidirect
235. #888C2×D5semidirect
240. #869C2×D5semidirect
438. #125D3×D5semidirect
586. C3×C5#3081semidirect
659. C5#81169semidirect
684. C3#10615205semidirect

Maximal subgroups

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

subgroupindex
C5×#56892
#117527272
#117511672
C3×#653552
#117474772
D3×#39412
#117474552
#117474352
#117472512
#117472502
#117472482
#117472452
#117469932
#117469662
#117468802
#106152053
#811695