Finite Group Databasebeta

← #14329480

Subgroups — #14329480

Order 1920.

1664 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic15C211yesmaximal, characteristic, complemented
2C2×C3×#4086C211yesmaximal, characteristic
3C2×#91559C212yesmaximal, complemented
4C2×Dic3×D20C211yesmaximal, characteristic, complemented
5C5×#5221C211yesmaximal, characteristic, complemented
6#11749518C212yesmaximal, complemented
7#11749500C212yesmaximal, complemented
8#11749489C212yesmaximal, complemented
9C4×#6668C211yesmaximal, characteristic, complemented
10#11748796C211yesmaximal, characteristic, complemented
11Dic5×C4⋊Dic3C211yesmaximal, characteristic, complemented
12#10608037—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C22×C3×C22⋊D5C2212yes—
16C22×C3×C22⋊D5C2212yes—
17C22×C3×D20C2211yescharacteristic
18C22×D5×Dic3C2212yes—
19C2×#6719C2212yes—
20D4×Dic15—24no—
21C2×C4⋊Dic15C2211yescharacteristic
22C2×C4×Dic15C2211yescharacteristic
23C2×C5×#217C2212yes—
24C2×C5×#217C2212yes—
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C4×C5×Dic3C2211yescharacteristic
27C3×#4086C418yescomplemented
28C2×C3×C4×Dic5C2211yescharacteristic
29#91559—28no—
30C2×#6668C2211yescharacteristic
31C2×#6668C2211yescharacteristic
32C2×#6665C2212yes—
33C2×#6665C2212yes—
34C2×#6665C2212yes—
35C2×Dic3×Dic5C2212yes—
36Dic3×D20—24no—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#83173—51nomaximal, Hall
41C2×#4086D311yescharacteristic
42C2×D4×Dic5—31no—
43C2×#4027—32no—
44C2×C4×D20—31no—
45C5×#390—31no—
46#65277—31no—
47C4⋊C4×Dic5—31no—
48#65247—32no—
49#65246—32no—
50#65245—32no—
51C4×#683—31no—
52C24×C3×C5C2312yes—
53C23×C3×D5C2312yes—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15—24no—
59C22×Dic15—24no—
60C22×Dic15—42no—
61C22×Dic15C2311yescharacteristic
62C22×Dic15C2312yes—
63C22×Dic15C2311yescharacteristic
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2312yes—
66C22×C5×Dic3C2311yescharacteristic
67C2×C3×C22⋊D5—24no—
68C2×C3×C22⋊D5—24no—
69C2×C3×C22⋊D5—42no—
70C2×C3×C22⋊D5—42no—
71C2×C3×C22⋊D5C2×C418yescomplemented
72C2×C3×C22⋊D5C2×C418yescomplemented
73C22×C3×Dic5C2311yescharacteristic
74C22×C3×Dic5C2311yescharacteristic
75C2×C3×D20—22no—
76C2×C3×D20—22no—
77C2×C3×D20C2×C414yescomplemented
78C2×D5×Dic3—24no—
79C2×D5×Dic3—24no—
80C2×D5×Dic3—42no—
81#6719—24no—
82C4⋊Dic15D414yescomplemented
83C4×Dic15—22no—
84C5×#217—24no—
85C5×#217—42no—
86C5×C4⋊Dic3—22no—
87C4×C5×Dic3—22no—
88C3×C4×Dic5C2×C414yescomplemented
89#6668—22no—
90#6668D414yescomplemented
91#6665—24no—
92#6665—24no—
93#6665—42no—
94Dic3×Dic5—24no—
95C2×C3×#127—51no—
96C2×D4×Dic3—51no—
97C2×D4×Dic3—52no—
98C2×D4×Dic3—51no—
99#5221—52no—
100#5221—51no—
101#5221D511yescharacteristic, complemented
102#5220—52no—
103#5220—52no—
104C4×C4⋊Dic3—51no—
105C4×C4⋊Dic3—51no—
106C22×C5×D4C2×D311yescharacteristic
107C22×C22⋊D5C2×D312yes—
108C22×C22⋊D5C2×D312yes—
109C23×Dic5—32no—
110C22×D20C2×D311yescharacteristic
111C22×C4×D5—32no—
112C2×C5×C4⋊C4—31no—
113C2×C5×C22⋊C4—32no—
114C2×C5×C22⋊C4—32no—
115C2×C42×C5—31no—
116C2×C22⋊Dic5—32no—
117#4086Dic318yescomplemented
118D4×Dic5—64no—
119C2×#685—32no—
120C2×#685—32no—
121C2×#685—32no—
122C2×C4⋊Dic5—31no—
123C2×#683—31no—
124C2×#683—31no—
125C2×C4×Dic5—31no—
126C2×C4×Dic5—32no—
127C2×C4×Dic5C2×D311yescharacteristic
128#4027—68no—
129C4×D20—64no—
130#3963—31no—
131#3963—31no—
132#3963—32no—
133#2366—151noSylow
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5C22×C414yes—
141C23×C3×C5C2411yescharacteristic
142C22×C3×D5—22no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5—22no—
148C22×C3×D5C22×C414yes—
149C3×C5×D4—28no—
150C2×C3×C4×C5C22×C412yes—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5#4112yes—
153C2×Dic15—22no—
154C2×Dic15—21no—
155C2×Dic15—22no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15—48no—
161C2×Dic15C2×D412yes—
162C2×Dic15C2×D414yes—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3—21no—
171C2×C5×Dic3C2×D412yes—
172C3×C22⋊D5—216no—
173C3×C22⋊D5—48no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5C22×C412yes—
177C2×C3×Dic5C22×C412yes—
178C2×C3×Dic5C2×D412yes—
179C2×C3×Dic5#4112yes—
180C3×D20—28no—
181D5×Dic3—48no—
182C22×C3×D4—52no—
183C22×C3×D4—52no—
184C22×C3×D4—51no—
185C22×C3×D4C2×D511yescharacteristic
186C23×Dic3—52no—
187C23×Dic3—52no—
188C3×#127—58no—
189C2×C3×C42—51no—
190C2×#217—52no—
191C2×#217—52no—
192C2×#217—52no—
193C2×#217—52no—
194C2×#217C2×D512yes—
195C2×#217C2×D512yes—
196D4×Dic3—104no—
197D4×Dic3—108no—
198D4×Dic3—104no—
199C2×C4⋊Dic3—51no—
200C2×C4⋊Dic3—51no—
201C2×C4⋊Dic3—51no—
202C2×C4⋊Dic3C2×D511yescharacteristic
203C2×C4×Dic3—51no—
204C2×C4×Dic3—52no—
205C2×C4×Dic3C2×D511yescharacteristic
206C3⋊#95—52no—
207C3⋊#95—51no—
208C3⋊#95—51no—
209C24×C5C22×D312yes—
210C23×D5C22×D312yes—
211C2×C5×D4—22no—
212C2×C5×D4—22no—
213C2×C5×D4C2×Dic314yescomplemented
214C22×C4×C5—31no—
215C22×C4×C5—31no—
216C22×C4×C5—32no—
217C22×C4×C5C22×D311yescharacteristic
218C2×C22⋊D5—24no—
219C2×C22⋊D5—24no—
220C2×C22⋊D5—42no—
221C2×C22⋊D5—42no—
222C2×C22⋊D5C2×Dic318yescomplemented
223C2×C22⋊D5C2×Dic318yescomplemented
224C22×Dic5—32no—
225C22×Dic5—31no—
226C22×Dic5—31no—
227C22×Dic5—64no—
228C22×Dic5—64no—
229C22×Dic5—122no—
230C22×Dic5C22×D311yescharacteristic
231C22×Dic5C22×D311yescharacteristic
232C2×D20—22no—
233C2×D20—22no—
234C2×D20C2×Dic314yescomplemented
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—122no—
238C5×C4⋊C4—62no—
239C5×C22⋊C4—64no—
240C5×C22⋊C4—122no—
241C42×C5—62no—
242C22⋊Dic5—64no—
243#685—64no—
244#685—64no—
245#685—122no—
246C4⋊Dic5—34no—
247#683—34no—
248#683—62no—
249C4×Dic5—62no—
250C4×Dic5—64no—
251C4×Dic5C2×Dic314yescomplemented
252C2×#127—51no—
253C2×C4×D4—151no—
254C2×C4×D4—152no—
255C2×C4×D4—151no—
256#390—31no—
257#390—152no—
258#390—151no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—151no—
262C4×C4⋊C4—151no—
263C22×C3×C5—24no—
264C22×C3×C5—24no—
265C22×C3×C5—24no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5—42no—
269C22×C3×C5—42no—
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5H(5,𝔽2)11yescharacteristic
276C22×C3×C5H(5,𝔽2)11yescharacteristic
277C2×C3×D5—24no—
278C2×C3×D5—24no—
279C2×C3×D5—24no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—42no—
283C2×C3×D5—42no—
284C3×C4×C5C4×D414yescomplemented
285Dic15—24no—
286Dic15—22no—
287Dic15—41no—
288C3×Dic5—22no—
289C3×Dic5C4×D414yescomplemented
290C5×Dic3—22no—
291C5×Dic3—42no—
292C5×Dic3—41no—
293C24×C3—52no—
294C24×C3C22×D512yes—
295C2×C3×D4—22no—
296C2×C3×D4—22no—
297C2×C3×D4—58no—
298C2×C3×D4—58no—
299C2×C3×D4—54no—
300C2×C3×D4—104no—
301C2×C3×D4—104no—
302C2×C3×D4—102no—
303C2×C3×D4—102no—
304C2×C3×D4—202no—
305C2×C3×D4—202no—
306C2×C3×D4C4×D514yescomplemented
307C22×C3×C4—51no—
308C22×C3×C4—51no—
309C22×C3×C4C22×D511yescharacteristic
310C22×Dic3—51no—
311C22×Dic3—52no—
312C22×Dic3—51no—
313C22×Dic3—104no—
314C22×Dic3—104no—
315C22×Dic3—104no—
316C22×Dic3—104no—
317C22×Dic3—202no—
318C22×Dic3—202no—
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D511yescharacteristic
321C22×Dic3C22×D511yescharacteristic
322C3×C42—54no—
323#217—24no—
324#217—42no—
325#217—104no—
326#217—104no—
327#217—104no—
328#217—202no—
329C4⋊Dic3—22no—
330C4⋊Dic3—54no—
331C4⋊Dic3—54no—
332C4⋊Dic3—102no—
333C4×Dic3—22no—
334C4×Dic3—104no—
335C4×Dic3—102no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—22no—
342C23×C5C22×Dic314yes—
343C23×C5C23×D311yescharacteristic
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—22no—
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—22no—
350C22×D5C22×Dic314yes—
351C5×D4—28no—
352C2×C4×C5—32no—
353C2×C4×C5—61no—
354C2×C4×C5—61no—
355C2×C4×C5—62no—
356C2×C4×C5—61no—
357C2×C4×C5—61no—
358C2×C4×C5—62no—
359C2×C4×C5—62no—
360C2×C4×C5—61no—
361C2×C4×C5D3×D412yes—
362C2×C4×C5#23712yes—
363C2×C4×C5C22×Dic312yes—
364C22⋊D5—216no—
365C22⋊D5—48no—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—32no—
369C2×Dic5—34no—
370C2×Dic5—62no—
371C2×Dic5—61no—
372C2×Dic5—62no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—61no—
377C2×Dic5—128no—
378C2×Dic5D3×D412yes—
379C2×Dic5#23712yes—
380C2×Dic5C22×Dic312yes—
381C2×Dic5C22×Dic312yes—
382D20—28no—
383C4×D5—128no—
384C22×D4—52no—
385C22×D4—52no—
386C22×D4—51no—
387C22×D4D3×D511yescharacteristic
388C23×C4—152no—
389C23×C4—152no—
390#127—58no—
391C4×D4—304no—
392C4×D4—308no—
393C4×D4—304no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—151no—
396C2×C4⋊C4—151no—
397C2×C4⋊C4—151no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—32no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—31no—
405C2×C42—51no—
406C2×C42—152no—
407C2×C42—151no—
408#95—151no—
409#95—151no—
410#95—152no—
411C2×C3×C5—44no—
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C2×C4×D411yescharacteristic
414C2×C3×C5#51811yescharacteristic
415C2×C3×C5D4211yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55011yescharacteristic
418C2×C3×C5#55911yescharacteristic
419C3×D5—44no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—54no—
427C23×C3—102no—
428C23×C3—102no—
429C23×C3—102no—
430C23×C3—102no—
431C23×C3—102no—
432C23×C3—102no—
433C23×C3C2×C4×D514yes—
434C23×C3C23×D511yescharacteristic
435C3×D4—28no—
436C3×D4—1016no—
437C3×D4—108no—
438C3×D4—208no—
439C2×C3×C4—52no—
440C2×C3×C4—52no—
441C2×C3×C4—52no—
442C2×C3×C4—52no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4D4×D512yes—
447C2×C3×C4#71112yes—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—21no—
456C2×Dic3—52no—
457C2×Dic3—54no—
458C2×Dic3—102no—
459C2×Dic3—101no—
460C2×Dic3—102no—
461C2×Dic3—101no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3—101no—
465C2×Dic3—208no—
466C2×Dic3—208no—
467C2×Dic3D4×D512yes—
468C22×C5—24no—
469C22×C5—24no—
470C22×C5—24no—
471C22×C5—42no—
472C22×C5—42no—
473C22×C5—42no—
474C22×C5—42no—
475C22×C5C2×D3×D411yescharacteristic
476C22×C5C2×D3×D411yescharacteristic
477C22×C5C2×#23711yescharacteristic
478C22×C5C2×#23711yescharacteristic
479C22×C5#100411yescharacteristic
480C22×C5#100411yescharacteristic
481C22×C5C23×Dic311yescharacteristic
482C2×D5—24no—
483C2×D5—24no—
484C2×D5—24no—
485C2×D5—42no—
486C2×D5—42no—
487C2×D5—42no—
488C2×D5—42no—
489C4×C5—62no—
490C4×C5—122no—
491C4×C5—121no—
492C4×C5D4×Dic314yescomplemented
493Dic5—22no—
494Dic5—64no—
495Dic5—62no—
496Dic5—121no—
497Dic5D4×Dic314yescomplemented
498C24—52no—
499C24C2×D3×D512yes—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—58no—
503C2×D4—58no—
504C2×D4—54no—
505C2×D4—104no—
506C2×D4—104no—
507C2×D4—102no—
508C2×D4—102no—
509C2×D4—202no—
510C2×D4—202no—
511C2×D4D5×Dic314yescomplemented
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—32no—
515C22×C4—51no—
516C22×C4—51no—
517C22×C4—151no—
518C22×C4—152no—
519C22×C4—151no—
520C22×C4—304no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—304no—
524C22×C4—602no—
525C22×C4—602no—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—62no—
528C4⋊C4—154no—
529C4⋊C4—154no—
530C4⋊C4—302no—
531C22⋊C4—64no—
532C22⋊C4—122no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C22⋊C4—602no—
537C42—54no—
538C42—62no—
539C42—304no—
540C42—302no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—104no—
550C22×C3—104no—
551C22×C3—104no—
552C22×C3—202no—
553C22×C3—202no—
554C22×C3—202no—
555C22×C3—202no—
556C22×C3C22×C4×D511yescharacteristic
557C22×C3C2×D4×D511yescharacteristic
558C22×C3C2×D4×D511yescharacteristic
559C22×C3C2×#71111yescharacteristic
560C22×C3#414411yescharacteristic
561C22×C3D5×#4111yescharacteristic
562C22×C3#414911yescharacteristic
563C3×C4—54no—
564C3×C4—102no—
565C3×C4#402714yescomplemented
566Dic3—22no—
567Dic3—42no—
568Dic3—41no—
569Dic3—104no—
570Dic3—102no—
571Dic3—201no—
572C2×C5—44no—
573C2×C5#571311yescharacteristic
574C2×C5#571711yescharacteristic
575C2×C5#571811yescharacteristic
576C2×C5#571811yescharacteristic
577C2×C5C2×D4×Dic311yescharacteristic
578C2×C5C2×D4×Dic311yescharacteristic
579C2×C5#579811yescharacteristic
580D5—44no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—54no—
588C23—102no—
589C23—102no—
590C23—102no—
591C23—102no—
592C23—102no—
593C23—102no—
594C23C2×D5×Dic314yes—
595C23C22×D3×D511yescharacteristic
596D4—28no—
597D4—1016no—
598D4—108no—
599D4—208no—
600C2×C4—32no—
601C2×C4—52no—
602C2×C4—52no—
603C2×C4—52no—
604C2×C4—52no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—62no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—62no—
611C2×C4—62no—
612C2×C4—61no—
613C2×C4—101no—
614C2×C4—101no—
615C2×C4—152no—
616C2×C4—154no—
617C2×C4—302no—
618C2×C4—302no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—608no—
625C2×C4—608no—
626C2×C4C2×D5×Dic312yes—
627C2×C4#678012yes—
628C2×C4#679012yes—
629C2×C3—44no—
630C2×C3—204no—
631C2×C3C2×#402711yescharacteristic
632C2×C3C4×D4×D511yescharacteristic
633C2×C3#6587911yescharacteristic
634C2×C3#6593311yescharacteristic
635C2×C3#6594311yescharacteristic
636C2×C3#6601511yescharacteristic
637C2×C3#6605211yescharacteristic
638C5#8317311yescharacteristic, complemented, Sylow
639C22—24no—
640C22—24no—
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—104no—
647C22—104no—
648C22—104no—
649C22—202no—
650C22—202no—
651C22—202no—
652C22—202no—
653C22D3×D4×D511yescharacteristic
654C22D5×#23711yescharacteristic
655C22#9202511yescharacteristic
656C22#9202611yescharacteristic
657C22C22×D5×Dic311yescharacteristic
658C22C2×#678011yescharacteristic
659C22C2×#679011yescharacteristic
660C4—54no—
661C4—62no—
662C4—102no—
663C4—122no—
664C4—121no—
665C4—302no—
666C4—304no—
667C4—601no—
668C4#9155914yescomplemented
669C3#1060803711yescharacteristic, complemented, Sylow
670C2—44no—
671C2—204no—
672C2D4×D5×Dic311yescharacteristic
673C2#1175478511yescharacteristic
674C2#1175481911yescharacteristic
675C2#1175486211yescharacteristic
676C2#1175491011yescharacteristic
677C2#1175505911yescharacteristic
678C2C2×#9155911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C3×#4086C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2366
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×Dic15C2semidirect
3. C2×#91559C2semidirect
4. C2×Dic3×D20C2semidirect
5. C5×#5221C2semidirect
6. #11749518C2semidirect
7. #11749500C2semidirect
8. #11749489C2semidirect
9. C4×#6668C2semidirect
10. #11748796C2semidirect
11. Dic5×C4⋊Dic3C2semidirect
27. C3×#4086C4semidirect
56. C2×C3×C5×D4C2×C4semidirect
71. C2×C3×C22⋊D5C2×C4semidirect
72. C2×C3×C22⋊D5C2×C4semidirect
77. C2×C3×D20C2×C4semidirect
82. C4⋊Dic15D4semidirect
88. C3×C4×Dic5C2×C4semidirect
90. #6668D4semidirect
101. #5221D5semidirect
117. #4086Dic3semidirect
213. C2×C5×D4C2×Dic3semidirect
222. C2×C22⋊D5C2×Dic3semidirect
223. C2×C22⋊D5C2×Dic3semidirect
234. C2×D20C2×Dic3semidirect
251. C4×Dic5C2×Dic3semidirect
284. C3×C4×C5C4×D4semidirect
289. C3×Dic5C4×D4semidirect
306. C2×C3×D4C4×D5semidirect
492. C4×C5D4×Dic3semidirect
497. Dic5D4×Dic3semidirect
511. C2×D4D5×Dic3semidirect
541. C3×C5#2366semidirect
565. C3×C4#4027semidirect
638. C5#83173semidirect
668. C4#91559semidirect
669. C3#10608037semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic152
C2×C3×#40862
C2×#915592
C2×Dic3×D202
C5×#52212
#117495182
#117495002
#117494892
C4×#66682
#117487962
Dic5×C4⋊Dic32
#106080373
#831735