Finite Group Databasebeta

← #14326185

Subgroups — #14326185

Order 1920.

1744 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6768C211yesmaximal, characteristic
2C2×C3×#4033C211yesmaximal, characteristic, complemented
3C2×Dic3×Dic10C211yesmaximal, characteristic, complemented
4#11751088C211yesmaximal, characteristic, complemented
5C5×#4988C211yesmaximal, characteristic, complemented
6#11748909C212yesmaximal, complemented
7#11748908C212yesmaximal, complemented
8#11748874C212yesmaximal, complemented
9Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
10#11748764C211yesmaximal, characteristic, complemented
11C4×#6667C211yesmaximal, characteristic, complemented
12#10608032—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C22×C5×D12C2211yescharacteristic
15C22×C3×Dic10C2211yescharacteristic
16C22×#1203C2212yes—
17C22×D3×Dic5C2212yes—
18C2×#6768—24no—
19C2×#6768—24no—
20C2×#6768C418yescomplemented
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×#6714C2212yes—
23C2×C4⋊Dic15C2211yescharacteristic
24C2×C5×(C2×D3)⋊C4C2212yes—
25C2×C5×(C2×D3)⋊C4C2212yes—
26C2×C4×C5×Dic3C2211yescharacteristic
27C2×C3×#683C2212yes—
28C2×C3×C4×Dic5C2212yes—
29C2×C3×C4×Dic5C2211yescharacteristic
30C3×#4033—24no—
31C2×#6668C2212yes—
32C2×#6667C2211yescharacteristic
33C2×#6667C2211yescharacteristic
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×(C2×D3)⋊Dic5C2212yes—
36C2×Dic3×Dic5C2212yes—
37Dic3×Dic10—24no—
38#91115C2212yes—
39#90994C2211yescharacteristic
40#90994C2211yescharacteristic
41#82457—51nomaximal, Hall
42C22×#711—31no—
43C2×#4033D311yescharacteristic, complemented
44C2×C4×Dic10—31no—
45C5×#390—31no—
46#65510—31no—
47#65276—31no—
48#65246—32no—
49#65246—32no—
50#65231—32no—
51C22⋊C4×Dic5—32no—
52C4×#685—31no—
53C23×D15C2311yescharacteristic
54C23×C5×D3C2312yes—
55C22×C3×C4×C5C2312yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15C2312yes—
58C22×Dic15C2311yescharacteristic
59C2×C4×D15—22no—
60C2×C4×D15—22no—
61C2×C4×D15C2×C414yes—
62C22×C5×Dic3C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C2×C5×D12—22no—
65C2×C5×D12—22no—
66C2×C5×D12C2×C414yes—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2312yes—
70C2×C3×Dic10C2×C414yes—
71C2×C3×Dic10D414yes—
72C2×C3×Dic10D414yes—
73C2×#1203—24no—
74C2×#1203—24no—
75C2×#1203C2×C418yes—
76C2×D3×Dic5—24no—
77C2×D3×Dic5—24no—
78C2×D3×Dic5C2×C418yes—
79#6768—232no—
80C3×C5×C4⋊C4—22no—
81#6714—42no—
82C4⋊Dic15—22no—
83C5×(C2×D3)⋊C4—24no—
84C5×(C2×D3)⋊C4—42no—
85C4×C5×Dic3—22no—
86C3×#683—24no—
87C3×C4×Dic5—22no—
88C3×C4×Dic5—24no—
89#6668—24no—
90#6667—22no—
91#6667—22no—
92(C2×D3)⋊Dic5—24no—
93(C2×D3)⋊Dic5—42no—
94Dic3×Dic5—24no—
95C22×#239—51no—
96C2×C3×C4×Q8—51no—
97C2×Q8×Dic3—51no—
98#4988—52no—
99#4988D511yescharacteristic, complemented
100#4987—51no—
101#4987—52no—
102#4939—51no—
103#4939—52no—
104C4×(C2×D3)⋊C4—52no—
105C4×(C2×D3)⋊C4—51no—
106C22×C5×D4—31no—
107C22×C22⋊D5—32no—
108C23×Dic5—32no—
109C2×#711—38no—
110C2×#711—64no—
111C2×#711—64no—
112C22×C4×D5—31no—
113C22×Dic10C2×D311yescharacteristic
114C2×C5×C4⋊C4C2×D311yescharacteristic
115C2×C5×C22⋊C4—32no—
116C2×C5×C22⋊C4—32no—
117C2×C42×C5—31no—
118C2×C22⋊Dic5—32no—
119C2×C22⋊Dic5—32no—
120C2×#685—31no—
121C2×#685—31no—
122C2×#685—32no—
123C2×C4⋊Dic5—31no—
124C2×#683—32no—
125C2×#683C2×D312yes—
126C2×C4×Dic5—32no—
127C2×C4×Dic5C2×D311yescharacteristic
128C2×C4×Dic5C2×D312yes—
129#4033—24no—
130C4×Dic10—64no—
131#3963—32no—
132#3963—31no—
133#3963—31no—
134#2341—151noSylow
135C23×C3×C5C2411yescharacteristic
136C22×D15—21no—
137C22×D15—21no—
138C22×D15—21no—
139C22×D15—21no—
140C22×D15—21no—
141C22×D15—21no—
142C22×D15C22×C412yes—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3—22no—
149C22×C5×D3C22×C414yes—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5C22×C412yes—
154C2×C3×C4×C5C2×D412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15C22×C412yes—
162C4×D15—28no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3#4112yescomplemented
169C5×D12—28no—
170C2×C3×Dic5—21no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5C22×C414yes—
176C2×C3×Dic5C2×D414yes—
177C2×C3×Dic5C2×D414yes—
178C2×C3×Dic5#4112yescomplemented
179C3×Dic10C22⋊C4116yescomplemented
180#1203—216no—
181D3×Dic5—216no—
182C22×C3×Q8—51no—
183C2×#239—58no—
184C2×#239—104no—
185C2×#239—104no—
186C22×D12—52no—
187C22×D12C2×D511yescharacteristic
188C22×C4×D3—52no—
189C22×C4×D3—51no—
190C3×C4×Q8—104no—
191C2×C3×C4⋊C4—52no—
192C2×C3×C4⋊C4C2×D511yescharacteristic
193C2×C3×C42—52no—
194C2×C3×C42—51no—
195Q8×Dic3—104no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—51no—
198C2×(C2×D3)⋊C4—51no—
199C2×(C2×D3)⋊C4—52no—
200C2×(C2×D3)⋊C4—52no—
201C2×(C2×D3)⋊C4C2×D512yes—
202C2×(C2×D3)⋊C4C2×D512yes—
203C2×C4⋊Dic3—51no—
204C2×C4⋊Dic3—52no—
205C2×C4×Dic3—52no—
206C2×C4×Dic3C2×D511yescharacteristic
207C3⋊#95—52no—
208C3⋊#95—51no—
209C3⋊#95—51no—
210C24×C5—32no—
211C23×D5—31no—
212C2×C5×D4—34no—
213C2×C5×D4—62no—
214C2×C5×D4—62no—
215C22×C4×C5—31no—
216C22×C4×C5—31no—
217C22×C4×C5C22×D312yes—
218C22×C4×C5C22×D311yescharacteristic
219C2×C22⋊D5—38no—
220C2×C22⋊D5—64no—
221C2×C22⋊D5—64no—
222C22×Dic5—31no—
223C22×Dic5—38no—
224C22×Dic5—32no—
225C22×Dic5—64no—
226C22×Dic5—64no—
227C22×Dic5C22×D311yescharacteristic
228C22×Dic5C22×D311yescharacteristic
229C22×Dic5C22×D312yes—
230#711—632no—
231C2×C4×D5—34no—
232C2×C4×D5—62no—
233C2×C4×D5—62no—
234C2×Dic10C4×D314yes—
235C2×Dic10D1214yes—
236C2×Dic10#6714yes—
237C5×C4⋊C4—22no—
238C5×C22⋊C4—64no—
239C5×C22⋊C4—122no—
240C42×C5—62no—
241C22⋊Dic5—64no—
242C22⋊Dic5—122no—
243#685—62no—
244#685—62no—
245#685—122no—
246C4⋊Dic5—62no—
247#683—24no—
248#683—64no—
249C4×Dic5—22no—
250C4×Dic5—24no—
251C4×Dic5—64no—
252C22×#41—151no—
253C2×C4×Q8—51no—
254C2×C4×Q8—151no—
255#390—31no—
256#390—152no—
257#390—151no—
258#390—152no—
259#380—152no—
260#380—151no—
261C4×C22⋊C4—151no—
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×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C52−1+411yescharacteristic
270C2×D15—22no—
271C2×D15—22no—
272C2×D15—22no—
273C2×D15—41no—
274C2×D15—41no—
275C2×D15—41no—
276C2×D15—41no—
277C2×C5×D3—24no—
278C2×C5×D3—24no—
279C2×C5×D3—24no—
280C2×C5×D3—42no—
281C2×C5×D3—42no—
282C2×C5×D3—42no—
283C2×C5×D3—42no—
284C3×C4×C5—42no—
285C3×C4×C5C2×C22⋊C414yes—
286Dic15—22no—
287Dic15—42no—
288C3×Dic5—22no—
289C3×Dic5—41no—
290C3×Dic5C2×C22⋊C418yes—
291C5×Dic3—22no—
292C5×Dic3—41no—
293C23×D3—51no—
294C23×D3C22×D512yes—
295C2×C3×Q8—54no—
296C2×C3×Q8—54no—
297C2×C3×Q8—54no—
298C22×C3×C4—52no—
299C22×C3×C4—51no—
300C22×C3×C4—51no—
301C22×C3×C4C22×D512yes—
302C22×C3×C4C22×D511yescharacteristic
303C22×Dic3—51no—
304C22×Dic3—52no—
305C22×Dic3C22×D511yescharacteristic
306C22×Dic3C22×D511yescharacteristic
307#239—1032no—
308C2×D12—22no—
309C2×D12—22no—
310C2×D12—58no—
311C2×D12—104no—
312C2×D12—104no—
313C2×D12C4×D514yes—
314C2×C4×D3—58no—
315C2×C4×D3—54no—
316C2×C4×D3—104no—
317C2×C4×D3—104no—
318C2×C4×D3—102no—
319C2×C4×D3—102no—
320C3×C4⋊C4—22no—
321C3×C4⋊C4—104no—
322C3×C42—104no—
323C3×C42—102no—
324(C2×D3)⋊C4—24no—
325(C2×D3)⋊C4—42no—
326(C2×D3)⋊C4—102no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—102no—
329(C2×D3)⋊C4—202no—
330(C2×D3)⋊C4—202no—
331C4⋊Dic3—104no—
332C4⋊Dic3—102no—
333C4×Dic3—22no—
334C4×Dic3—104no—
335C23×C5—34no—
336C23×C5—62no—
337C23×C5—62no—
338C23×C5—62no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5C23×D311yescharacteristic
343C22×D5—32no—
344C22×D5—61no—
345C22×D5—61no—
346C22×D5—61no—
347C22×D5—61no—
348C22×D5—61no—
349C22×D5—61no—
350C5×D4—68no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—32no—
355C2×C4×C5—61no—
356C2×C4×C5—61no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5C2×C4×D312yes—
361C2×C4×C5C2×D1212yes—
362C2×C4×C5C2×#6712yes—
363C22⋊D5—616no—
364C2×Dic5—21no—
365C2×Dic5—21no—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—21no—
369C2×Dic5—32no—
370C2×Dic5—61no—
371C2×Dic5—61no—
372C2×Dic5—616no—
373C2×Dic5—62no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5C2×C4×D314yes—
377C2×Dic5C2×D1214yes—
378C2×Dic5#23912yescomplemented
379C2×Dic5C2×#6714yes—
380C4×D5—68no—
381Dic10(C2×D3)⋊C4116yescomplemented
382C2×#41—158no—
383C2×#41—304no—
384C2×#41—304no—
385C22×Q8—51no—
386C22×D4—31no—
387C22×D4—152no—
388C23×C4—152no—
389C23×C4—151no—
390C4×Q8—104no—
391C4×Q8—304no—
392C2×C4⋊C4—52no—
393C2×C4⋊C4—152no—
394C2×C4⋊C4—151no—
395C2×C4⋊C4D3×D511yescharacteristic
396C2×C22⋊C4—32no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—151no—
399C2×C22⋊C4—151no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C42—31no—
404C2×C42—52no—
405C2×C42—51no—
406C2×C42—152no—
407#95—151no—
408#95—151no—
409#95—152no—
410C2×C3×C5C22×C22⋊C411yescharacteristic
411C2×C3×C5C4×#4111yescharacteristic
412C2×C3×C5#52011yescharacteristic
413C2×C3×C5#54811yescharacteristic
414C2×C3×C5#54811yescharacteristic
415C2×C3×C5#55011yescharacteristic
416C2×C3×C5#55011yescharacteristic
417D15—42no—
418C5×D3—44no—
419C23×C3C23×D511yescharacteristic
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—52no—
427C22×D3—101no—
428C22×D3—101no—
429C22×D3—101no—
430C22×D3—101no—
431C22×D3—101no—
432C22×D3—101no—
433C22×D3C2×C4×D514yes—
434C3×Q8—516no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—54no—
439C2×C3×C4—54no—
440C2×C3×C4—54no—
441C2×C3×C4—52no—
442C2×C3×C4—101no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4—101no—
446C2×C3×C4—101no—
447C2×C3×C4C2×C4×D512yes—
448C2×C3×C4D4×D512yes—
449C2×C3×C4D4×D512yes—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—52no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3—102no—
461C2×Dic3#71112yescomplemented
462D12—28no—
463D12—1016no—
464C4×D3—1016no—
465C4×D3—108no—
466C22×C5—64no—
467C22×C5—64no—
468C22×C5—64no—
469C22×C5—122no—
470C22×C5—122no—
471C22×C5—122no—
472C22×C5—122no—
473C22×C5C22×C4×D311yescharacteristic
474C22×C5C22×D1211yescharacteristic
475C22×C5C2×#23911yescharacteristic
476C22×C5#100711yescharacteristic
477C22×C5D3×#4111yescharacteristic
478C22×C5#100911yescharacteristic
479C22×C5C22×#6711yescharacteristic
480C2×D5—62no—
481C2×D5—62no—
482C2×D5—62no—
483C2×D5—121no—
484C2×D5—121no—
485C2×D5—121no—
486C2×D5—121no—
487C4×C5—42no—
488C4×C5—62no—
489C4×C5—121no—
490C4×C5C2×(C2×D3)⋊C414yes—
491Dic5—22no—
492Dic5—41no—
493Dic5—62no—
494Dic5—122no—
495Dic5C2×(C2×D3)⋊C418yes—
496C24—32no—
497C24—151no—
498#41—3032no—
499C2×Q8—54no—
500C2×Q8—54no—
501C2×Q8—54no—
502C2×D4—34no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—158no—
506C2×D4—304no—
507C2×D4—304no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—52no—
511C22×C4—51no—
512C22×C4—51no—
513C22×C4—158no—
514C22×C4—151no—
515C22×C4—154no—
516C22×C4—152no—
517C22×C4—304no—
518C22×C4—304no—
519C22×C4—302no—
520C22×C4—302no—
521C22×C4C2×D3×D512yes—
522C22×C4C2×D3×D511yescharacteristic
523C4⋊C4—22no—
524C4⋊C4—104no—
525C4⋊C4—304no—
526C4⋊C4—302no—
527C22⋊C4—64no—
528C22⋊C4—122no—
529C22⋊C4—302no—
530C22⋊C4—302no—
531C22⋊C4—304no—
532C22⋊C4—602no—
533C22⋊C4—602no—
534C42—62no—
535C42—104no—
536C42—102no—
537C42—304no—
538C3×C5#234111yescharacteristic, complemented, Hall
539C22×C3C22×C4×D511yescharacteristic
540C22×C3C2×D4×D511yescharacteristic
541C22×C3C2×D4×D511yescharacteristic
542C22×C3C2×#71111yescharacteristic
543C22×C3#414411yescharacteristic
544C22×C3D5×#4111yescharacteristic
545C22×C3#415011yescharacteristic
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—24no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—102no—
554C2×D3—102no—
555C2×D3—102no—
556C2×D3—201no—
557C2×D3—201no—
558C2×D3—201no—
559C2×D3—201no—
560C3×C4—42no—
561C3×C4—58no—
562C3×C4—102no—
563C3×C4—201no—
564C3×C4D5×C22⋊C414yes—
565Dic3—22no—
566Dic3—41no—
567Dic3—102no—
568Dic3—202no—
569C2×C5—124no—
570C2×C5C4×#23911yescharacteristic
571C2×C5#557411yescharacteristic
572C2×C5#557611yescharacteristic
573C2×C5#557711yescharacteristic
574C2×C5C22×(C2×D3)⋊C411yescharacteristic
575C2×C5#581711yescharacteristic
576C2×C5#583411yescharacteristic
577D5—122no—
578C23—34no—
579C23—62no—
580C23—62no—
581C23—62no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—152no—
586C23—301no—
587C23—301no—
588C23—301no—
589C23—301no—
590C23—301no—
591C23—301no—
592C23C22×D3×D511yescharacteristic
593Q8—516no—
594D4—68no—
595D4—3016no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—32no—
600C2×C4—54no—
601C2×C4—54no—
602C2×C4—54no—
603C2×C4—52no—
604C2×C4—61no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—101no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—101no—
614C2×C4—152no—
615C2×C4—3016no—
616C2×C4—301no—
617C2×C4—301no—
618C2×C4—308no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—302no—
622C2×C4C4×D3×D512yes—
623C2×C4D5×D1212yes—
624C2×C4D5×#6712yes—
625C2×C3C2×D5×C22⋊C411yescharacteristic
626C2×C3C4×#71111yescharacteristic
627C2×C3#6588011yescharacteristic
628C2×C3#6593211yescharacteristic
629C2×C3#6593311yescharacteristic
630C2×C3#6601111yescharacteristic
631C2×C3#6605211yescharacteristic
632D3—44no—
633D3—202no—
634C5#8245711yescharacteristic, complemented, Sylow
635C22—64no—
636C22—64no—
637C22—64no—
638C22—122no—
639C22—122no—
640C22—122no—
641C22—122no—
642C22—302no—
643C22—302no—
644C22—302no—
645C22—601no—
646C22—601no—
647C22—601no—
648C22—601no—
649C22C2×C4×D3×D511yescharacteristic
650C22C2×D5×D1211yescharacteristic
651C22D3×#71111yescharacteristic
652C22#9202711yescharacteristic
653C22#9203011yescharacteristic
654C22D5×#23911yescharacteristic
655C22C2×D5×#6711yescharacteristic
656C4—42no—
657C4—58no—
658C4—62no—
659C4—102no—
660C4—121no—
661C4—201no—
662C4—302no—
663C4—602no—
664C4D5×(C2×D3)⋊C414yes—
665C3#1060803211yescharacteristic, complemented, Sylow
666C2—124no—
667C2—602no—
668C2#1175340611yescharacteristic
669C2#1175340711yescharacteristic
670C2#1175343711yescharacteristic
671C2#1175369211yescharacteristic
672C2C2×D5×(C2×D3)⋊C411yescharacteristic
673C2#1175479911yescharacteristic
674C2#1175522611yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6768C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5#2341
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×C3×#4033C2semidirect
3. C2×Dic3×Dic10C2semidirect
4. #11751088C2semidirect
5. C5×#4988C2semidirect
6. #11748909C2semidirect
7. #11748908C2semidirect
8. #11748874C2semidirect
9. Dic5×(C2×D3)⋊C4C2semidirect
10. #11748764C2semidirect
11. C4×#6667C2semidirect
20. C2×#6768C4semidirect
43. C2×#4033D3semidirect
99. #4988D5semidirect
168. C2×C5×Dic3#41semidirect
178. C2×C3×Dic5#41semidirect
179. C3×Dic10C22⋊C4semidirect
378. C2×Dic5#239semidirect
381. Dic10(C2×D3)⋊C4semidirect
461. C2×Dic3#711semidirect
538. C3×C5#2341semidirect
634. C5#82457semidirect
665. C3#10608032semidirect

Maximal subgroups

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

subgroupindex
C22×#67682
C2×C3×#40332
C2×Dic3×Dic102
#117510882
C5×#49882
#117489092
#117489082
#117488742
Dic5×(C2×D3)⋊C42
#117487642
C4×#66672
#106080323
#824575