Finite Group Databasebeta

← #14326186

Subgroups — #14326186

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×#6769C211yesmaximal, characteristic
2C2×C3×C4×Dic10C211yesmaximal, characteristic, complemented
3C2×Dic3×Dic10C211yesmaximal, characteristic, complemented
4#11751040C211yesmaximal, characteristic, complemented
5C4×C5×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6#11748909C212yesmaximal, complemented
7#11748908C212yesmaximal, complemented
8#11748876C212yesmaximal, complemented
9#11748875C212yesmaximal, complemented
10#11748789C211yesmaximal, characteristic, complemented
11#11748786C211yesmaximal, characteristic, complemented
12#10605185—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C4×C5×D3C2211yescharacteristic
15C22×C3×Dic10C2211yescharacteristic
16C22×#1203C2212yes—
17C22×#1200C2212yes—
18C2×#6769—24no—
19C2×#6769—24no—
20C2×#6769C418yescomplemented
21C2×C3×C42×C5C2211yescharacteristic
22C2×#6714C2212yes—
23C2×#6714C2212yes—
24C2×C4⋊Dic15C2211yescharacteristic
25C2×C5×(C2×D3)⋊C4C2211yescharacteristic
26C2×C5×(C2×D3)⋊C4C2211yescharacteristic
27C2×C4×C5×Dic3C2211yescharacteristic
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×C3×#683C2212yes—
30C2×C3×C4×Dic5C2212yes—
31C3×C4×Dic10—24no—
32C2×#6668C2212yes—
33C2×#6667C2212yes—
34C2×#6667C2212yes—
35C2×(C2×D3)⋊Dic5C2212yes—
36C2×Dic3×Dic5C2212yes—
37Dic3×Dic10—24no—
38C5×C3⋊#95C2211yescharacteristic
39C5×C3⋊#95C2211yescharacteristic
40#90994C2212yes—
41#82457—51nomaximal, Hall
42C22×#709—31no—
43C2×C4×Dic10—31no—
44C2×C4×Dic10D311yescharacteristic, complemented
45C4×C5×C22⋊C4—31no—
46#65501—31no—
47#65246—32no—
48#65246—32no—
49#65228—31no—
50#65228—31no—
51#64956—32no—
52#64955—32no—
53C23×D15C2312yes—
54C23×C5×D3C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2312yes—
59C2×D60—22no—
60C2×D60—22no—
61C2×D60C2×C414yes—
62C22×C5×Dic3C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C22×C5×Dic3C2311yescharacteristic
65C2×C4×C5×D3—22no—
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3C2×C414yes—
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2312yes—
70C2×C3×Dic10C2×C414yes—
71C2×C3×Dic10D414yes—
72C2×C3×Dic10D414yes—
73C2×#1203—24no—
74C2×#1203—24no—
75C2×#1203C2×C418yes—
76C2×#1200—24no—
77C2×#1200—24no—
78C2×#1200C2×C418yes—
79#6769—232no—
80C3×C42×C5—22no—
81#6714—24no—
82#6714—42no—
83C4⋊Dic15—22no—
84C5×(C2×D3)⋊C4—22no—
85C5×(C2×D3)⋊C4—22no—
86C4×C5×Dic3—22no—
87C3×C4⋊Dic5—22no—
88C3×#683—24no—
89C3×C4×Dic5—24no—
90#6668—24no—
91#6667—24no—
92#6667—42no—
93(C2×D3)⋊Dic5—42no—
94Dic3×Dic5—24no—
95C22×#239—51no—
96C2×C3×C4×Q8—51no—
97C2×Q8×Dic3—51no—
98#4988—52no—
99#4988—51no—
100#4987—51no—
101#4987—52no—
102#4939—51no—
103#4939—52no—
104C4×(C2×D3)⋊C4—52no—
105C4×(C2×D3)⋊C4D511yescharacteristic, complemented
106C23×C4×C5—31no—
107C22×C22⋊D5—32no—
108C2×#709—38no—
109C2×#709—64no—
110C2×#709—64no—
111C22×D20—31no—
112C22×C4×D5—32no—
113C22×Dic10C2×D311yescharacteristic
114C2×C5×C22⋊C4—31no—
115C2×C5×C22⋊C4—31no—
116C2×C42×C5—31no—
117C2×C42×C5C2×D311yescharacteristic
118C2×C22⋊Dic5—32no—
119C2×#685—32no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5C2×D311yescharacteristic
125C2×#683—32no—
126C2×#683C2×D312yes—
127C2×C4×Dic5—32no—
128C2×C4×Dic5C2×D312yes—
129C4×Dic10—24no—
130C4×Dic10—64no—
131C5×#95—31no—
132C5×#95—31no—
133#3963—32no—
134#2341—151noSylow
135C23×C3×C5C2411yescharacteristic
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15—22no—
142C22×D15C22×C414yes—
143C22×C5×D3—21no—
144C22×C5×D3—21no—
145C22×C5×D3—21no—
146C22×C5×D3—21no—
147C22×C5×D3—21no—
148C22×C5×D3—21no—
149C22×C5×D3C22×C412yes—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—21no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5—21no—
155C2×C3×C4×C5C22×C412yes—
156C2×C3×C4×C5C2×D412yes—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5#4112yescomplemented
159C2×Dic15—22no—
160C2×Dic15—22no—
161C2×Dic15—22no—
162D60—28no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3C22×C412yes—
171C2×C5×Dic3#4112yescomplemented
172C4×C5×D3—28no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5C22×C414yes—
177C2×C3×Dic5C2×D414yes—
178C2×C3×Dic5C2×D414yes—
179C3×Dic10C22⋊C4116yescomplemented
180#1203—216no—
181#1200—216no—
182C22×C3×Q8—51no—
183C2×#239—58no—
184C2×#239—104no—
185C2×#239—104no—
186C22×D12—52no—
187C22×D12—51no—
188C22×C4×D3—52no—
189C22×C4×D3C2×D511yescharacteristic
190C3×C4×Q8—104no—
191C2×C3×C4⋊C4—52no—
192C2×C3×C4⋊C4—51no—
193C2×C3×C42—52no—
194C2×C3×C42C2×D511yescharacteristic
195Q8×Dic3—104no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—52no—
199C2×(C2×D3)⋊C4—52no—
200C2×(C2×D3)⋊C4—52no—
201C2×(C2×D3)⋊C4C2×D511yescharacteristic
202C2×(C2×D3)⋊C4C2×D511yescharacteristic
203C2×C4⋊Dic3—51no—
204C2×C4⋊Dic3—52no—
205C2×C4×Dic3—52no—
206C2×C4×Dic3C2×D511yescharacteristic
207C3⋊#95—52no—
208C3⋊#95C2×D511yescharacteristic
209C3⋊#95C2×D511yescharacteristic
210C24×C5—31no—
211C23×D5—32no—
212C22×C4×C5—31no—
213C22×C4×C5—31no—
214C22×C4×C5—34no—
215C22×C4×C5—31no—
216C22×C4×C5—62no—
217C22×C4×C5—62no—
218C22×C4×C5C22×D311yescharacteristic
219C22×C4×C5C22×D311yescharacteristic
220C22×C4×C5C22×D311yescharacteristic
221C2×C22⋊D5—38no—
222C2×C22⋊D5—64no—
223C2×C22⋊D5—64no—
224C22×Dic5—32no—
225C22×Dic5C22×D312yes—
226C22×Dic5C22×D312yes—
227#709—632no—
228C2×D20—34no—
229C2×D20—62no—
230C2×D20—62no—
231C2×C4×D5—38no—
232C2×C4×D5—64no—
233C2×C4×D5—64no—
234C2×Dic10C4×D314yes—
235C2×Dic10D1214yes—
236C2×Dic10#6714yes—
237C5×C22⋊C4—62no—
238C5×C22⋊C4—62no—
239C42×C5—22no—
240C42×C5—62no—
241C22⋊Dic5—122no—
242#685—64no—
243#685—64no—
244#685—122no—
245#685—122no—
246C4⋊Dic5—22no—
247C4⋊Dic5—62no—
248#683—24no—
249#683—64no—
250C4×Dic5—24no—
251C4×Dic5—64no—
252C22×#41—151no—
253C2×C4×Q8—51no—
254C2×C4×Q8—151no—
255#390—151no—
256#390—152no—
257#390—152no—
258#390—151no—
259#380—152no—
260#380—151no—
261C4×C22⋊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×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C52−1+411yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C5×D3—22no—
278C2×C5×D3—22no—
279C2×C5×D3—22no—
280C2×C5×D3—41no—
281C2×C5×D3—41no—
282C2×C5×D3—41no—
283C2×C5×D3—41no—
284C3×C4×C5—22no—
285C3×C4×C5—41no—
286C3×C4×C5C2×C22⋊C414yes—
287Dic15—42no—
288C3×Dic5—42no—
289C3×Dic5C2×C22⋊C418yes—
290C5×Dic3—22no—
291C5×Dic3—22no—
292C5×Dic3—41no—
293C23×D3—52no—
294C23×D3C22×D511yescharacteristic
295C2×C3×Q8—54no—
296C2×C3×Q8—54no—
297C2×C3×Q8—54no—
298C22×C3×C4—52no—
299C22×C3×C4—52no—
300C22×C3×C4C22×D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C22×Dic3—52no—
304C22×Dic3C22×D511yescharacteristic
305C22×Dic3C22×D511yescharacteristic
306C22×Dic3C22×D511yescharacteristic
307#239—1032no—
308C2×D12—58no—
309C2×D12—54no—
310C2×D12—104no—
311C2×D12—104no—
312C2×D12—102no—
313C2×D12—102no—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3—58no—
317C2×C4×D3—104no—
318C2×C4×D3—104no—
319C2×C4×D3C4×D514yes—
320C3×C4⋊C4—104no—
321C3×C4⋊C4—102no—
322C3×C42—22no—
323C3×C42—104no—
324(C2×D3)⋊C4—22no—
325(C2×D3)⋊C4—22no—
326(C2×D3)⋊C4—104no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—202no—
329(C2×D3)⋊C4—202no—
330(C2×D3)⋊C4—202no—
331C4⋊Dic3—104no—
332C4⋊Dic3—102no—
333C4×Dic3—22no—
334C4×Dic3—104no—
335C23×C5—32no—
336C23×C5—61no—
337C23×C5—61no—
338C23×C5—61no—
339C23×C5—61no—
340C23×C5—61no—
341C23×C5—61no—
342C23×C5C23×D311yescharacteristic
343C22×D5—34no—
344C22×D5—62no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C2×C4×C5—21no—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—32no—
356C2×C4×C5—32no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—68no—
362C2×C4×C5—61no—
363C2×C4×C5—61no—
364C2×C4×C5—61no—
365C2×C4×C5C2×C4×D312yes—
366C2×C4×C5C2×D1212yes—
367C2×C4×C5#23912yescomplemented
368C2×C4×C5C2×#6712yes—
369C22⋊D5—616no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—62no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5C2×C4×D314yes—
377C2×Dic5C2×D1214yes—
378C2×Dic5C2×#6714yes—
379D20—68no—
380C4×D5—616no—
381Dic10(C2×D3)⋊C4116yescomplemented
382C2×#41—158no—
383C2×#41—304no—
384C2×#41—304no—
385C22×Q8—51no—
386C22×D4—152no—
387C22×D4—151no—
388C23×C4—31no—
389C23×C4—152no—
390C4×Q8—104no—
391C4×Q8—304no—
392C2×C4⋊C4—52no—
393C2×C4⋊C4—51no—
394C2×C4⋊C4—152no—
395C2×C4⋊C4—151no—
396C2×C22⋊C4—31no—
397C2×C22⋊C4—31no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C42—31no—
404C2×C42—52no—
405C2×C42—152no—
406C2×C42D3×D511yescharacteristic
407#95—31no—
408#95—31no—
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—44no—
418C5×D3—42no—
419C23×C3C23×D511yescharacteristic
420C22×D3—21no—
421C22×D3—21no—
422C22×D3—21no—
423C22×D3—21no—
424C22×D3—21no—
425C22×D3—21no—
426C22×D3—54no—
427C22×D3—102no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3C2×C4×D512yes—
434C3×Q8—516no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—54no—
441C2×C3×C4—54no—
442C2×C3×C4—54no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4—102no—
446C2×C3×C4C2×C4×D512yes—
447C2×C3×C4#70912yescomplemented
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—21no—
456C2×Dic3—21no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3C2×C4×D512yes—
461C2×Dic3#70912yescomplemented
462D12—1016no—
463D12—108no—
464C4×D3—28no—
465C4×D3—1016no—
466C22×C5—62no—
467C22×C5—62no—
468C22×C5—62no—
469C22×C5—121no—
470C22×C5—121no—
471C22×C5—121no—
472C22×C5—121no—
473C22×C5C22×C4×D311yescharacteristic
474C22×C5C22×D1211yescharacteristic
475C22×C5C2×#23911yescharacteristic
476C22×C5#100711yescharacteristic
477C22×C5D3×#4111yescharacteristic
478C22×C5#100911yescharacteristic
479C22×C5C22×#6711yescharacteristic
480C2×D5—64no—
481C2×D5—64no—
482C2×D5—64no—
483C2×D5—122no—
484C2×D5—122no—
485C2×D5—122no—
486C2×D5—122no—
487C4×C5—22no—
488C4×C5—41no—
489C4×C5—62no—
490C4×C5—62no—
491C4×C5—121no—
492C4×C5C2×(C2×D3)⋊C414yes—
493Dic5—42no—
494Dic5—122no—
495Dic5C2×(C2×D3)⋊C418yes—
496C24—31no—
497C24—152no—
498#41—3032no—
499C2×Q8—54no—
500C2×Q8—54no—
501C2×Q8—54no—
502C2×D4—158no—
503C2×D4—154no—
504C2×D4—304no—
505C2×D4—304no—
506C2×D4—302no—
507C2×D4—302no—
508C22×C4—31no—
509C22×C4—31no—
510C22×C4—34no—
511C22×C4—31no—
512C22×C4—52no—
513C22×C4—52no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—158no—
517C22×C4—152no—
518C22×C4—304no—
519C22×C4—304no—
520C22×C4C2×D3×D511yescharacteristic
521C22×C4C2×D3×D511yescharacteristic
522C22×C4C2×D3×D511yescharacteristic
523C4⋊C4—104no—
524C4⋊C4—102no—
525C4⋊C4—304no—
526C4⋊C4—302no—
527C22⋊C4—62no—
528C22⋊C4—62no—
529C22⋊C4—304no—
530C22⋊C4—304no—
531C22⋊C4—602no—
532C22⋊C4—602no—
533C22⋊C4—602no—
534C42—22no—
535C42—62no—
536C42—104no—
537C42—304no—
538C3×C5#234111yescharacteristic, complemented, Hall
539C22×C3C22×C4×D511yescharacteristic
540C22×C3C2×#70911yescharacteristic
541C22×C3C2×#70911yescharacteristic
542C22×C3C2×D4×D511yescharacteristic
543C22×C3C2×D4×D511yescharacteristic
544C22×C3#414911yescharacteristic
545C22×C3#415011yescharacteristic
546C2×D3—22no—
547C2×D3—22no—
548C2×D3—22no—
549C2×D3—41no—
550C2×D3—41no—
551C2×D3—41no—
552C2×D3—41no—
553C2×D3—104no—
554C2×D3—104no—
555C2×D3—104no—
556C2×D3—202no—
557C2×D3—202no—
558C2×D3—202no—
559C2×D3—202no—
560C3×C4—22no—
561C3×C4—41no—
562C3×C4—58no—
563C3×C4—202no—
564C3×C4D5×C22⋊C414yes—
565Dic3—22no—
566Dic3—22no—
567Dic3—41no—
568Dic3—202no—
569C2×C5—122no—
570C2×C5C4×#23911yescharacteristic
571C2×C5#557411yescharacteristic
572C2×C5#557611yescharacteristic
573C2×C5#557711yescharacteristic
574C2×C5C22×(C2×D3)⋊C411yescharacteristic
575C2×C5#581711yescharacteristic
576C2×C5#583411yescharacteristic
577D5—124no—
578C23—32no—
579C23—61no—
580C23—61no—
581C23—61no—
582C23—61no—
583C23—61no—
584C23—61no—
585C23—154no—
586C23—302no—
587C23—302no—
588C23—302no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23C22×D3×D511yescharacteristic
593Q8—516no—
594D4—3016no—
595D4—308no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—54no—
604C2×C4—54no—
605C2×C4—54no—
606C2×C4—61no—
607C2×C4—61no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—68no—
611C2×C4—61no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—102no—
617C2×C4—3016no—
618C2×C4—302no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4#676912yescomplemented
622C2×C4C4×D3×D512yes—
623C2×C4D5×D1212yes—
624C2×C4D5×#6712yes—
625C2×C3C4×#70911yescharacteristic
626C2×C3C2×D5×C22⋊C411yescharacteristic
627C2×C3#6585711yescharacteristic
628C2×C3#6588611yescharacteristic
629C2×C3#6588611yescharacteristic
630C2×C3#6588711yescharacteristic
631C2×C3#6588711yescharacteristic
632D3—42no—
633D3—204no—
634C5#8245711yescharacteristic, complemented, Sylow
635C22—62no—
636C22—62no—
637C22—62no—
638C22—121no—
639C22—121no—
640C22—121no—
641C22—121no—
642C22—304no—
643C22—304no—
644C22—304no—
645C22—602no—
646C22—602no—
647C22—602no—
648C22—602no—
649C22#9200411yescharacteristic
650C22C2×#676911yescharacteristic
651C22C2×C4×D3×D511yescharacteristic
652C22C2×D5×D1211yescharacteristic
653C22D3×#70911yescharacteristic
654C22#9201911yescharacteristic
655C22C2×D5×#6711yescharacteristic
656C4—22no—
657C4—41no—
658C4—58no—
659C4—62no—
660C4—62no—
661C4—121no—
662C4—202no—
663C4—602no—
664C4D5×(C2×D3)⋊C414yes—
665C3#1060518511yescharacteristic, complemented, Sylow
666C2—122no—
667C2—604no—
668C2C4×#676911yescharacteristic
669C2#1175252711yescharacteristic
670C2#1175253511yescharacteristic
671C2#1175253811yescharacteristic
672C2#1175432111yescharacteristic
673C2#1175453011yescharacteristic
674C2C2×D5×(C2×D3)⋊C411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6769C2
hypercenterC2×C42D3×D5
hypocenterC3×C5#2341
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×Dic10C2semidirect
3. C2×Dic3×Dic10C2semidirect
4. #11751040C2semidirect
5. C4×C5×(C2×D3)⋊C4C2semidirect
6. #11748909C2semidirect
7. #11748908C2semidirect
8. #11748876C2semidirect
9. #11748875C2semidirect
10. #11748789C2semidirect
11. #11748786C2semidirect
20. C2×#6769C4semidirect
44. C2×C4×Dic10D3semidirect
105. C4×(C2×D3)⋊C4D5semidirect
158. C2×C3×C4×C5#41semidirect
171. C2×C5×Dic3#41semidirect
179. C3×Dic10C22⋊C4semidirect
367. C2×C4×C5#239semidirect
381. Dic10(C2×D3)⋊C4semidirect
447. C2×C3×C4#709semidirect
461. C2×Dic3#709semidirect
538. C3×C5#2341semidirect
621. C2×C4#6769semidirect
634. C5#82457semidirect
665. C3#10605185semidirect

Maximal subgroups

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

subgroupindex
C22×#67692
C2×C3×C4×Dic102
C2×Dic3×Dic102
#117510402
C4×C5×(C2×D3)⋊C42
#117489092
#117489082
#117488762
#117488752
#117487892
#117487862
#106051853
#824575