Finite Group Databasebeta

← Dic3×#4041 #14321465

Subgroups — Dic3×#4041 #14321465

Order 1920.

1648 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×C3×#4041C211yesmaximal, characteristic
2C2×Dic3×D20C212yesmaximal, complemented
3C2×Dic3×D20C211yesmaximal, characteristic, complemented
4C2×C4×D5×Dic3C211yesmaximal, characteristic, complemented
5#11751085C211yesmaximal, characteristic, complemented
6C5×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
7#11748896C212yesmaximal, complemented
8Dic3×#685C212yesmaximal, complemented
9#11748796C211yesmaximal, characteristic, complemented
10#11748772C212yesmaximal, complemented
11#11748759C211yesmaximal, characteristic, complemented
12C4×#4041—31nomaximal, Hall
13C22×C3×D20C2212yes—
14C22×C3×D20C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C22×D5×Dic3C2212yes—
17C22×D5×Dic3C2211yescharacteristic
18C22×D5×Dic3C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C4⋊Dic15C2211yescharacteristic
21C2×C4⋊Dic15C2212yes—
22C2×C4×Dic15C2211yescharacteristic
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2212yes—
25C2×C4×C5×Dic3C2211yescharacteristic
26C2×C3×#685C2212yes—
27C3×#4041C418yescomplemented
28C2×#6665C2212yes—
29C2×#6665C2212yes—
30C2×#6665C2212yes—
31C2×#6665C2212yes—
32C2×Dic3×Dic5C2211yescharacteristic
33C2×Dic3×Dic5C2211yescharacteristic
34Dic3×D20—28no—
35Dic3×D20—24no—
36C4×D5×Dic3—24no—
37#91115C2212yes—
38C5×C3⋊#95C2212yes—
39#90994C2212yes—
40Dic3×#121—51nomaximal, Hall
41C2×#4041D311yescharacteristic
42C2×C4×D20—31no—
43C2×C4×D20—32no—
44C2×C42×D5—31no—
45C4×C5×C4⋊C4—31no—
46#65277—31no—
47#65276—31no—
48#65274—31no—
49C4×#685—32no—
50#64959—32no—
51#64954—32no—
52C23×C3×D5C2312yes—
53C23×C3×D5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2311yescharacteristic
58C22×Dic15C2311yescharacteristic
59C22×C5×Dic3C2312yes—
60C22×C5×Dic3C2311yescharacteristic
61C22×C5×Dic3C2311yescharacteristic
62C22×C3×Dic5C2311yescharacteristic
63C2×C3×D20—24no—
64C2×C3×D20—24no—
65C2×C3×D20—22no—
66C2×C3×D20—22no—
67C2×C3×D20C2×C418yescomplemented
68C2×C3×D20C2×C414yescomplemented
69C2×C3×C4×D5—22no—
70C2×C3×C4×D5—22no—
71C2×C3×C4×D5C2×C414yescomplemented
72C2×D5×Dic3—22no—
73C2×D5×Dic3—22no—
74C2×D5×Dic3—22no—
75C2×D5×Dic3—22no—
76C2×D5×Dic3—22no—
77C2×D5×Dic3—24no—
78C2×D5×Dic3—24no—
79C2×D5×Dic3—24no—
80C2×D5×Dic3D414yescomplemented
81C3×C5×C4⋊C4C2×C414yescomplemented
82C4⋊Dic15—22no—
83C4⋊Dic15—24no—
84C4×Dic15—22no—
85C5×C4⋊Dic3—22no—
86C4×C5×Dic3—24no—
87C4×C5×Dic3D414yescomplemented
88C3×#685C2×C418yescomplemented
89#6665—24no—
90#6665—24no—
91#6665—24no—
92#6665—24no—
93Dic3×Dic5—22no—
94Dic3×Dic5—22no—
95C2×C3×#121—51no—
96C2×D4×Dic3—52no—
97C2×D4×Dic3—51no—
98C22×C4×Dic3—51no—
99#5221—51no—
100#5220—52no—
101#5212—51no—
102#4984—51no—
103Dic3×C4⋊C4D511yescharacteristic, complemented
104#4951—52no—
105Dic3×C22⋊C4—52no—
106C22×D20C2×D312yes—
107C22×D20C2×D311yescharacteristic
108C22×C4×D5—31no—
109C22×C4×D5—31no—
110C22×C4×D5—32no—
111C22×C4×D5C2×D311yescharacteristic
112C2×C5×C4⋊C4—31no—
113C2×C5×C4⋊C4C2×D311yescharacteristic
114C2×C42×C5—31no—
115C2×C42×C5—32no—
116C2×#685—32no—
117C2×#685—32no—
118C2×#685—32no—
119C2×#685—32no—
120C2×#685C2×D312yes—
121C2×C4⋊Dic5—32no—
122C2×C4⋊Dic5—31no—
123C2×C4×Dic5—31no—
124C2×C4×Dic5—31no—
125C2×C4×Dic5—31no—
126#4041Dic318yesdirect product factor
127C4×D20—64no—
128C4×D20—68no—
129C42×D5—64no—
130C5×#95—32no—
131#3963—32no—
132#3963—32no—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×C3×D5—21no—
136C22×C3×D5—21no—
137C22×C3×D5—21no—
138C22×C3×D5—21no—
139C22×C3×D5—22no—
140C22×C3×D5—22no—
141C22×C3×D5—22no—
142C22×C3×D5—22no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5C22×C414yes—
146C22×C3×D5C22×C412yes—
147C22×C3×D5C2×D412yes—
148C22×C3×D5#4112yes—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5C22×C414yes—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4112yes—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162C2×Dic15C2×D412yes—
163C2×Dic15#4112yes—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—22no—
167C2×C5×Dic3—22no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3C2×D412yes—
170C2×C5×Dic3C2×D412yes—
171C2×C5×Dic3C2×D412yes—
172C2×C5×Dic3#4112yes—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5C22×C412yes—
176C3×D20—216no—
177C3×D20—28no—
178C3×C4×D5—28no—
179D5×Dic3—28no—
180D5×Dic3—28no—
181D5×Dic3—48no—
182C22×C3×D4—52no—
183C22×C3×D4—51no—
184C23×C3×C4—51no—
185C23×Dic3—51no—
186C23×Dic3—52no—
187C23×Dic3—51no—
188C3×#121—58no—
189C2×C3×C4⋊C4C2×D511yescharacteristic
190C2×C3×C22⋊C4—52no—
191C2×#217—52no—
192C2×#217—52no—
193C2×#217—52no—
194C2×#217—52no—
195D4×Dic3—108no—
196D4×Dic3—104no—
197C2×C4⋊Dic3—52no—
198C2×C4⋊Dic3—51no—
199C2×C4⋊Dic3C2×D511yescharacteristic
200C2×C4×Dic3—51no—
201C2×C4×Dic3—51no—
202C2×C4×Dic3—51no—
203C2×C4×Dic3—104no—
204C2×C4×Dic3C2×D512yes—
205C2×C4×Dic3C2×D511yescharacteristic
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95C2×D512yes—
209C23×D5C22×D312yes—
210C23×D5C22×D311yescharacteristic
211C22×C4×C5—31no—
212C22×C4×C5—31no—
213C22×C4×C5—32no—
214C22×C4×C5C22×D312yes—
215C22×C4×C5C22×D311yescharacteristic
216C22×Dic5—31no—
217C22×Dic5—31no—
218C22×Dic5—32no—
219C22×Dic5C22×D311yescharacteristic
220C2×D20—24no—
221C2×D20—24no—
222C2×D20—22no—
223C2×D20—22no—
224C2×D20C2×Dic318yescomplemented
225C2×D20C2×Dic314yescomplemented
226C2×C4×D5—22no—
227C2×C4×D5—22no—
228C2×C4×D5—34no—
229C2×C4×D5—62no—
230C2×C4×D5—62no—
231C2×C4×D5—62no—
232C2×C4×D5—62no—
233C2×C4×D5—62no—
234C2×C4×D5—64no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5C2×Dic314yescomplemented
238C5×C4⋊C4—62no—
239C5×C4⋊C4C2×Dic314yescomplemented
240C42×C5—34no—
241C42×C5—64no—
242#685—64no—
243#685—64no—
244#685—64no—
245#685—64no—
246#685C2×Dic318yescomplemented
247C4⋊Dic5—64no—
248C4⋊Dic5—62no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—62no—
252C2×#121—51no—
253C2×C4×D4—151no—
254C2×C4×D4—152no—
255C22×C42—151no—
256#390—151no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—151no—
261C4×C4⋊C4—31no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C2×C3×D5—22no—
271C2×C3×D5—22no—
272C2×C3×D5—22no—
273C2×C3×D5—22no—
274C2×C3×D5—22no—
275C2×C3×D5—22no—
276C2×C3×D5—24no—
277C2×C3×D5—24no—
278C2×C3×D5—24no—
279C2×C3×D5—42no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—42no—
283C2×C3×D5C4×D414yescomplemented
284C3×C4×C5—24no—
285C3×C4×C5C4×D414yescomplemented
286Dic15—22no—
287Dic15—22no—
288Dic15—42no—
289C3×Dic5—22no—
290C5×Dic3—22no—
291C5×Dic3—42no—
292C5×Dic3#12114yescomplemented
293C24×C3—51no—
294C24×C3—52no—
295C2×C3×D4—58no—
296C2×C3×D4—54no—
297C2×C3×D4—104no—
298C2×C3×D4—104no—
299C2×C3×D4—102no—
300C2×C3×D4—102no—
301C22×C3×C4—51no—
302C22×C3×C4—54no—
303C22×C3×C4—102no—
304C22×C3×C4—102no—
305C22×C3×C4C22×D512yes—
306C22×C3×C4C22×D511yescharacteristic
307C22×Dic3—51no—
308C22×Dic3—51no—
309C22×Dic3—54no—
310C22×Dic3—52no—
311C22×Dic3—102no—
312C22×Dic3—102no—
313C22×Dic3—102no—
314C22×Dic3—102no—
315C22×Dic3—102no—
316C22×Dic3—104no—
317C22×Dic3—104no—
318C22×Dic3—104no—
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D511yescharacteristic
321C22×Dic3C22×D511yescharacteristic
322C3×C4⋊C4C4×D514yescomplemented
323C3×C22⋊C4—58no—
324#217—104no—
325#217—104no—
326#217—104no—
327#217—104no—
328C4⋊Dic3—22no—
329C4⋊Dic3—104no—
330C4⋊Dic3—102no—
331C4×Dic3—24no—
332C4×Dic3—102no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3D2014yescomplemented
336C23×C5C23×D311yescharacteristic
337C22×D5—21no—
338C22×D5—21no—
339C22×D5—21no—
340C22×D5—21no—
341C22×D5—22no—
342C22×D5—22no—
343C22×D5—22no—
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—22no—
347C22×D5D3×D412yes—
348C22×D5#23712yes—
349C22×D5C22×Dic314yes—
350C22×D5C22×Dic312yes—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—32no—
354C2×C4×C5—32no—
355C2×C4×C5—32no—
356C2×C4×C5—32no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—62no—
360C2×C4×C5—62no—
361C2×C4×C5—62no—
362C2×C4×C5D3×D412yes—
363C2×C4×C5#23712yes—
364C2×C4×C5C22×Dic314yes—
365C2×C4×C5C22×Dic312yes—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—32no—
369C2×Dic5—32no—
370C2×Dic5—61no—
371C2×Dic5—61no—
372C2×Dic5—61no—
373C2×Dic5—61no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5C22×Dic312yes—
378D20—216no—
379D20—28no—
380C4×D5—28no—
381C4×D5—68no—
382C4×D5—68no—
383C4×D5—128no—
384C22×D4—52no—
385C22×D4—51no—
386C23×C4—51no—
387C23×C4—151no—
388C23×C4—152no—
389C23×C4—151no—
390#121—58no—
391C4×D4—304no—
392C4×D4—308no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—151no—
395C2×C4⋊C4—152no—
396C2×C4⋊C4D3×D511yescharacteristic
397C2×C22⋊C4—52no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—31no—
403C2×C42—32no—
404C2×C42—151no—
405C2×C42—151no—
406C2×C42—151no—
407C2×C42—304no—
408#95—32no—
409#95—152no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C4×#4111yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5#52511yescharacteristic
416C2×C3×C5#52911yescharacteristic
417C2×C3×C5#53211yescharacteristic
418C3×D5—24no—
419C3×D5—44no—
420C23×C3—52no—
421C23×C3—52no—
422C23×C3—52no—
423C23×C3—54no—
424C23×C3—101no—
425C23×C3—101no—
426C23×C3—101no—
427C23×C3—101no—
428C23×C3—102no—
429C23×C3—102no—
430C23×C3—102no—
431C23×C3—102no—
432C23×C3—102no—
433C23×C3—102no—
434C23×C3C23×D511yescharacteristic
435C3×D4—1016no—
436C3×D4—108no—
437C2×C3×C4—22no—
438C2×C3×C4—22no—
439C2×C3×C4—52no—
440C2×C3×C4—101no—
441C2×C3×C4—101no—
442C2×C3×C4—108no—
443C2×C3×C4C2×C4×D514yes—
444C2×C3×C4C2×C4×D512yes—
445C2×C3×C4C2×D2012yes—
446C2×C3×C4#70912yes—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—52no—
453C2×Dic3—52no—
454C2×Dic3—108no—
455C2×Dic3—101no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—108no—
460C2×Dic3—102no—
461C2×Dic3—102no—
462C2×Dic3—102no—
463C2×Dic3—208no—
464C2×Dic3C2×D2012yes—
465C2×Dic3C2×D2012yes—
466C2×Dic3D4×D512yes—
467C2×Dic3#71312yes—
468C22×C5C2×D3×D411yescharacteristic
469C22×C5C2×D3×D411yescharacteristic
470C22×C5C2×#23711yescharacteristic
471C22×C5C2×#23711yescharacteristic
472C22×C5D3×#4111yescharacteristic
473C22×C5D3×#4111yescharacteristic
474C22×C5C23×Dic311yescharacteristic
475C2×D5—22no—
476C2×D5—22no—
477C2×D5—22no—
478C2×D5—22no—
479C2×D5—22no—
480C2×D5—22no—
481C2×D5—24no—
482C2×D5—24no—
483C2×D5—24no—
484C2×D5—42no—
485C2×D5—42no—
486C2×D5—42no—
487C2×D5—42no—
488C2×D5D4×Dic314yescomplemented
489C4×C5—24no—
490C4×C5—34no—
491C4×C5—62no—
492C4×C5—122no—
493C4×C5D4×Dic314yescomplemented
494Dic5—22no—
495Dic5—62no—
496Dic5—62no—
497Dic5—122no—
498C24—51no—
499C24—52no—
500C2×D4—58no—
501C2×D4—54no—
502C2×D4—104no—
503C2×D4—104no—
504C2×D4—102no—
505C2×D4—102no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—32no—
509C22×C4—51no—
510C22×C4—54no—
511C22×C4—102no—
512C22×C4—102no—
513C22×C4—154no—
514C22×C4—151no—
515C22×C4—151no—
516C22×C4—152no—
517C22×C4—302no—
518C22×C4—302no—
519C22×C4—302no—
520C22×C4—304no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—302no—
524C22×C4—302no—
525C22×C4C2×D3×D512yes—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—62no—
528C4⋊C4—304no—
529C4⋊C4—302no—
530C4⋊C4D5×Dic314yescomplemented
531C22⋊C4—58no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—34no—
537C42—64no—
538C42—302no—
539C42—302no—
540C42—302no—
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—54no—
543C22×C3—102no—
544C22×C3—102no—
545C22×C3—102no—
546C22×C3—102no—
547C22×C3—102no—
548C22×C3—102no—
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×C3C22×D2011yescharacteristic
558C22×C3C2×#70911yescharacteristic
559C22×C3C2×D4×D511yescharacteristic
560C22×C3C2×#71311yescharacteristic
561C22×C3D5×#4111yescharacteristic
562C22×C3D5×#4111yescharacteristic
563C3×C4—24no—
564C3×C4—102no—
565C3×C4C4×D2014yescomplemented
566Dic3—22no—
567Dic3—42no—
568Dic3—102no—
569Dic3—102no—
570Dic3—202no—
571Dic3#404114yesdirect product factor
572C2×C5#559611yescharacteristic
573C2×C5#560011yescharacteristic
574C2×C5D3×#12111yescharacteristic
575C2×C5#560611yescharacteristic
576C2×C5C2×D4×Dic311yescharacteristic
577C2×C5C2×D4×Dic311yescharacteristic
578C2×C5Dic3×#4111yescharacteristic
579D5—24no—
580D5—44no—
581C23—52no—
582C23—52no—
583C23—52no—
584C23—54no—
585C23—101no—
586C23—101no—
587C23—101no—
588C23—101no—
589C23—102no—
590C23—102no—
591C23—102no—
592C23—102no—
593C23—102no—
594C23—102no—
595C23C22×D3×D511yescharacteristic
596D4—1016no—
597D4—108no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—32no—
604C2×C4—52no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—62no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—108no—
613C2×C4—152no—
614C2×C4—152no—
615C2×C4—308no—
616C2×C4—308no—
617C2×C4—301no—
618C2×C4—301no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—302no—
622C2×C4—302no—
623C2×C4—302no—
624C2×C4—608no—
625C2×C4#676512yes—
626C2×C4D3×D2012yes—
627C2×C4C2×D5×Dic314yes—
628C2×C4C2×D5×Dic312yes—
629C2×C3—104no—
630C2×C3—204no—
631C2×C3C2×C4×D2011yescharacteristic
632C2×C3C2×#404111yescharacteristic
633C2×C3#6585811yescharacteristic
634C2×C3C4×D4×D511yescharacteristic
635C2×C3#6588211yescharacteristic
636C2×C3C4×#71311yescharacteristic
637C2×C3#6591411yescharacteristic
638C5Dic3×#12111yescharacteristic, complemented, Sylow
639C22—54no—
640C22—102no—
641C22—102no—
642C22—102no—
643C22—102no—
644C22—102no—
645C22—102no—
646C22—104no—
647C22—104no—
648C22—104no—
649C22—202no—
650C22—202no—
651C22—202no—
652C22—202no—
653C22C2×#676511yescharacteristic
654C22C2×D3×D2011yescharacteristic
655C22D3×D4×D511yescharacteristic
656C22D5×#23711yescharacteristic
657C22D3×#71311yescharacteristic
658C22#9203411yescharacteristic
659C22C22×D5×Dic311yescharacteristic
660C4—24no—
661C4—34no—
662C4—62no—
663C4—102no—
664C4—122no—
665C4—302no—
666C4—302no—
667C4—602no—
668C4Dic3×D2014yescomplemented
669C3C4×#404111yescharacteristic, complemented, Sylow
670C2—104no—
671C2—204no—
672C2#1175341311yescharacteristic
673C2#1175349811yescharacteristic
674C2D3×#404111yescharacteristic
675C2#1175387911yescharacteristic
676C2C2×Dic3×D2011yescharacteristic
677C2D4×D5×Dic311yescharacteristic
678C2Dic3×#71311yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C3×#4041C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×Dic3×D20C2semidirect
3. C2×Dic3×D20C2semidirect
4. C2×C4×D5×Dic3C2semidirect
5. #11751085C2semidirect
6. C5×Dic3×C4⋊C4C2semidirect
7. #11748896C2semidirect
8. Dic3×#685C2semidirect
9. #11748796C2semidirect
10. #11748772C2semidirect
11. #11748759C2semidirect
27. C3×#4041C4semidirect
67. C2×C3×D20C2×C4semidirect
68. C2×C3×D20C2×C4semidirect
71. C2×C3×C4×D5C2×C4semidirect
80. C2×D5×Dic3D4semidirect
81. C3×C5×C4⋊C4C2×C4semidirect
87. C4×C5×Dic3D4semidirect
88. C3×#685C2×C4semidirect
103. Dic3×C4⋊C4D5semidirect
126. #4041Dic3direct (N × H)
224. C2×D20C2×Dic3semidirect
225. C2×D20C2×Dic3semidirect
237. C2×C4×D5C2×Dic3semidirect
239. C5×C4⋊C4C2×Dic3semidirect
246. #685C2×Dic3semidirect
283. C2×C3×D5C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
292. C5×Dic3#121semidirect
322. C3×C4⋊C4C4×D5semidirect
335. C4×Dic3D20semidirect
488. C2×D5D4×Dic3semidirect
493. C4×C5D4×Dic3semidirect
530. C4⋊C4D5×Dic3semidirect
541. C3×C5C4×#121semidirect
565. C3×C4C4×D20semidirect
571. Dic3#4041direct (N × H)
638. C5Dic3×#121semidirect
668. C4Dic3×D20semidirect
669. C3C4×#4041semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#40412
C2×Dic3×D202
C2×C4×D5×Dic32
#117510852
C5×Dic3×C4⋊C42
#117488962
Dic3×#6852
#117487962
#117487722
#117487592
C4×#40413
Dic3×#1215