Finite Group Databasebeta

← #14326083

Subgroups — #14326083

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6768C211yesmaximal, characteristic
2C2×C5×#893C211yesmaximal, characteristic, complemented
3C2×Dic5×D12C211yesmaximal, characteristic, complemented
4#11751088C211yesmaximal, characteristic, complemented
5C3×#65263C211yesmaximal, characteristic, complemented
6#11748914C212yesmaximal, complemented
7#11748883C212yesmaximal, complemented
8#11748880C212yesmaximal, complemented
9D3×#3963C212yesmaximal, complemented
10C4×#6667C211yesmaximal, characteristic, complemented
11#11748609C211yesmaximal, characteristic, complemented
12#10614061—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C22×C5×D12C2211yescharacteristic
15C22×C4×C5×D3C2212yes—
16C22×C3×Dic10C2211yescharacteristic
17C22×#1203C2212yes—
18C22×D3×Dic5C2212yes—
19C22×D3×Dic5C2212yes—
20C2×#6768—24no—
21C2×#6768—24no—
22C2×#6768C418yescomplemented
23C2×C3×C5×C4⋊C4C2211yescharacteristic
24C2×#6714C2212yes—
25C2×C4⋊Dic15C2211yescharacteristic
26C2×C5×(C2×D3)⋊C4C2212yes—
27C2×C4×C5×Dic3C2211yescharacteristic
28C5×#893—24no—
29C2×C3×C4×Dic5C2211yescharacteristic
30C2×#6667C2211yescharacteristic
31C2×#6667C2211yescharacteristic
32C2×(C2×D3)⋊Dic5C2212yes—
33Dic5×D12—24no—
34#91115C2212yes—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37#90994C2212yes—
38#90994C2212yes—
39#90994C2211yescharacteristic
40#90994C2211yescharacteristic
41#76613—51nomaximal, Hall
42C22×#711—31no—
43C2×C4×C5×D4—31no—
44C2×D4×Dic5—31no—
45#65502—32no—
46C2×#3963—32no—
47#65276—31no—
48#65263D311yescharacteristic, complemented
49#65247—32no—
50#65232—32no—
51C4×#685—31no—
52#65218—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×C414yescomplemented
62C22×C5×Dic3C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C2×C5×D12C2×C414yes—
65C2×C5×D12D414yes—
66C2×C5×D12D414yes—
67C2×C4×C5×D3—24no—
68C2×C4×C5×D3—24no—
69C2×C4×C5×D3—42no—
70C22×C3×Dic5C2311yescharacteristic
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2311yescharacteristic
73C2×C3×Dic10—22no—
74C2×C3×Dic10—22no—
75C2×C3×Dic10C2×C414yescomplemented
76C2×#1203—24no—
77C2×#1203—24no—
78C2×#1203C2×C418yescomplemented
79C2×D3×Dic5—24no—
80C2×D3×Dic5—24no—
81C2×D3×Dic5—24no—
82C2×D3×Dic5—24no—
83C2×D3×Dic5—42no—
84C2×D3×Dic5C2×C418yescomplemented
85#6768—232no—
86C3×C5×C4⋊C4—22no—
87#6714—42no—
88C4⋊Dic15—22no—
89C5×(C2×D3)⋊C4—24no—
90C4×C5×Dic3—22no—
91C3×C4×Dic5—22no—
92#6667—22no—
93#6667—22no—
94(C2×D3)⋊Dic5—24no—
95C22×#239—51no—
96C2×#893D511yescharacteristic, complemented
97C2×C4×D12—51no—
98C3×#391—51no—
99#5229—51no—
100#4987—51no—
101C4×(C2×D3)⋊C4—51no—
102#4665—52no—
103#4665—52no—
104#4664—52no—
105D3×#95—52no—
106C22×C5×D4—31no—
107C23×C4×C5—32no—
108C22×C22⋊D5—32no—
109C23×Dic5—32no—
110C23×Dic5—32no—
111C2×#711—38no—
112C2×#711—64no—
113C2×#711—64no—
114C22×C4×D5—31no—
115C22×Dic10C2×D311yescharacteristic
116C4×C5×D4—64no—
117C2×C5×C4⋊C4C2×D311yescharacteristic
118C2×C5×C22⋊C4—32no—
119C2×C42×C5—31no—
120C2×C22⋊Dic5—32no—
121D4×Dic5—64no—
122C2×#685—31no—
123C2×#685—31no—
124C2×#685—32no—
125C2×C4⋊Dic5—31no—
126C2×C4×Dic5C2×D311yescharacteristic
127#3963—32no—
128#3963—32no—
129#3963—32no—
130#3963—31no—
131#3963—31no—
132#3963C2×D312yes—
133#3963C2×D312yes—
134#2339—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×D3C22×C414yes—
148C22×C5×D3C2×D414yes—
149C22×C5×D3C2×D414yes—
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×D12C22⋊C4116yescomplemented
170C4×C5×D3—48no—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—22no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5C22×C414yes—
179C2×C3×Dic5#4112yescomplemented
180C3×Dic10—28no—
181#1203—216no—
182D3×Dic5—216no—
183D3×Dic5—48no—
184C22×C3×Q8—51no—
185C2×#239—58no—
186C2×#239—104no—
187C2×#239—104no—
188C22×D12—52no—
189C22×D12C2×D511yescharacteristic
190C22×C4×D3—52no—
191C22×C4×D3—51no—
192C22×C4×D3—52no—
193C22×C4×D3C2×D512yes—
194C2×C3×C4⋊C4C2×D511yescharacteristic
195C2×C3×C42—51no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—51no—
198C2×(C2×D3)⋊C4—51no—
199C2×(C2×D3)⋊C4—52no—
200C2×(C2×D3)⋊C4C2×D512yes—
201C2×C4⋊Dic3—51no—
202C2×C4×Dic3C2×D511yescharacteristic
203#893—24no—
204C4×D12—104no—
205C3×#95—52no—
206C3×#95—52no—
207C3⋊#95—52no—
208C3⋊#95—51no—
209C3⋊#95—52no—
210C3⋊#95—51no—
211C3⋊#95—52no—
212C24×C5—32no—
213C23×D5—31no—
214C2×C5×D4—34no—
215C2×C5×D4—34no—
216C2×C5×D4—34no—
217C22×C4×C5—31no—
218C22×C4×C5—31no—
219C22×C4×C5—64no—
220C22×C4×C5—64no—
221C22×C4×C5—122no—
222C22×C4×C5C22×D312yes—
223C22×C4×C5C22×D311yescharacteristic
224C2×C22⋊D5—38no—
225C2×C22⋊D5—64no—
226C2×C22⋊D5—64no—
227C22×Dic5—31no—
228C22×Dic5—38no—
229C22×Dic5—32no—
230C22×Dic5—64no—
231C22×Dic5—64no—
232C22×Dic5—64no—
233C22×Dic5—64no—
234C22×Dic5—122no—
235C22×Dic5C22×D311yescharacteristic
236C22×Dic5C22×D312yes—
237C22×Dic5C22×D311yescharacteristic
238#711—632no—
239C2×C4×D5—34no—
240C2×C4×D5—62no—
241C2×C4×D5—62no—
242C2×Dic10—22no—
243C2×Dic10—22no—
244C2×Dic10C4×D314yescomplemented
245C5×C4⋊C4—22no—
246C5×C22⋊C4—64no—
247C42×C5—62no—
248C22⋊Dic5—64no—
249#685—62no—
250#685—62no—
251#685—122no—
252C4⋊Dic5—62no—
253C4×Dic5—22no—
254C22×#41—151no—
255C2×C4×D4—31no—
256C2×C4×D4—151no—
257#391—51no—
258#391—151no—
259#386—152no—
260#386—152no—
261#381—152no—
262#380—151no—
263C4×C22⋊C4—151no—
264C2×#95—152no—
265C22×C3×C5C23×C411yescharacteristic
266C22×C3×C5C22×D411yescharacteristic
267C22×C3×C5C22×D411yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C22×C3×C5H(5,𝔽2)11yescharacteristic
271C22×C3×C52−1+411yescharacteristic
272C2×D15—22no—
273C2×D15—22no—
274C2×D15—22no—
275C2×D15—41no—
276C2×D15—41no—
277C2×D15—41no—
278C2×D15—41no—
279C2×C5×D3—24no—
280C2×C5×D3—24no—
281C2×C5×D3—24no—
282C2×C5×D3—24no—
283C2×C5×D3—24no—
284C2×C5×D3—24no—
285C2×C5×D3C2×C22⋊C418yes—
286C3×C4×C5—42no—
287C3×C4×C5C2×C22⋊C414yes—
288Dic15—22no—
289Dic15—42no—
290C3×Dic5—24no—
291C3×Dic5—22no—
292C3×Dic5—41no—
293C5×Dic3—22no—
294C5×Dic3—41no—
295C23×D3—51no—
296C23×D3C22×D512yes—
297C2×C3×Q8—54no—
298C2×C3×Q8—102no—
299C2×C3×Q8—102no—
300C22×C3×C4—52no—
301C22×C3×C4—51no—
302C22×C3×C4—51no—
303C22×C3×C4C22×D512yes—
304C22×C3×C4C22×D511yescharacteristic
305C22×Dic3—51no—
306C22×Dic3—52no—
307C22×Dic3C22×D511yescharacteristic
308C22×Dic3C22×D511yescharacteristic
309#239—1032no—
310C2×D12—58no—
311C2×D12—104no—
312C2×D12—104no—
313C2×D12C4×D514yes—
314C2×D12D2014yes—
315C2×D12C22⋊D514yes—
316C2×C4×D3—24no—
317C2×C4×D3—24no—
318C2×C4×D3—42no—
319C2×C4×D3—58no—
320C2×C4×D3—54no—
321C2×C4×D3—104no—
322C2×C4×D3—104no—
323C2×C4×D3—102no—
324C2×C4×D3—102no—
325C2×C4×D3—104no—
326C2×C4×D3—104no—
327C2×C4×D3—202no—
328C3×C4⋊C4—22no—
329C3×C42—102no—
330(C2×D3)⋊C4—24no—
331(C2×D3)⋊C4—102no—
332(C2×D3)⋊C4—104no—
333(C2×D3)⋊C4—102no—
334(C2×D3)⋊C4—202no—
335C4⋊Dic3—102no—
336C4×Dic3—22no—
337C23×C5—34no—
338C23×C5—34no—
339C23×C5—34no—
340C23×C5—62no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5—62no—
344C23×C5C23×D311yescharacteristic
345C22×D5—32no—
346C22×D5—61no—
347C22×D5—61no—
348C22×D5—61no—
349C22×D5—61no—
350C22×D5—61no—
351C22×D5—61no—
352C5×D4—316no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—32no—
357C2×C4×C5—61no—
358C2×C4×C5—61no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5—61no—
362C2×C4×C5—128no—
363C2×C4×C5C2×C4×D312yes—
364C2×C4×C5D3×D412yes—
365C2×C4×C5D3×D412yes—
366C22⋊D5—616no—
367C2×Dic5—21no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—21no—
374C2×Dic5—32no—
375C2×Dic5—616no—
376C2×Dic5—61no—
377C2×Dic5—61no—
378C2×Dic5—62no—
379C2×Dic5—62no—
380C2×Dic5—62no—
381C2×Dic5—128no—
382C2×Dic5C2×C4×D314yes—
383C2×Dic5#23912yescomplemented
384C4×D5—68no—
385Dic10—28no—
386C2×#41—158no—
387C2×#41—304no—
388C2×#41—304no—
389C22×Q8—51no—
390C22×D4—31no—
391C22×D4—152no—
392C23×C4—32no—
393C23×C4—152no—
394C23×C4—152no—
395C23×C4—151no—
396C4×D4—64no—
397C4×D4—304no—
398C2×C4⋊C4—151no—
399C2×C4⋊C4D3×D511yescharacteristic
400C2×C22⋊C4—32no—
401C2×C22⋊C4—151no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—152no—
404C2×C22⋊C4—152no—
405C2×C42—31no—
406C2×C42—51no—
407#95—52no—
408#95—52no—
409#95—151no—
410#95—152no—
411#95—151no—
412#95—152no—
413#95—152no—
414C2×C3×C5C22×C22⋊C411yescharacteristic
415C2×C3×C5C4×#4111yescharacteristic
416C2×C3×C5#52011yescharacteristic
417C2×C3×C5#54611yescharacteristic
418C2×C3×C5#54611yescharacteristic
419C2×C3×C5#54711yescharacteristic
420C2×C3×C5#54711yescharacteristic
421D15—42no—
422C5×D3—28no—
423C23×C3C23×D511yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—52no—
429C22×D3—101no—
430C22×D3—101no—
431C22×D3—101no—
432C22×D3—101no—
433C22×D3—101no—
434C22×D3—101no—
435C22×D3C2×C4×D514yes—
436C22×D3C2×D2014yes—
437C22×D3C2×C22⋊D514yes—
438C3×Q8—108no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—54no—
443C2×C3×C4—52no—
444C2×C3×C4—101no—
445C2×C3×C4—102no—
446C2×C3×C4—101no—
447C2×C3×C4—102no—
448C2×C3×C4—101no—
449C2×C3×C4—101no—
450C2×C3×C4—101no—
451C2×C3×C4C2×C4×D512yes—
452C2×C3×C4C2×D2012yes—
453C2×C3×C4C2×C22⋊D512yes—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—52no—
460C2×Dic3—101no—
461C2×Dic3—101no—
462C2×Dic3—102no—
463C2×Dic3—102no—
464C2×Dic3—102no—
465C2×Dic3#71112yescomplemented
466D12—1016no—
467D12#685116yescomplemented
468C4×D3—48no—
469C4×D3—1016no—
470C4×D3—108no—
471C4×D3—208no—
472C22×C5—38no—
473C22×C5—64no—
474C22×C5—64no—
475C22×C5—64no—
476C22×C5—64no—
477C22×C5—64no—
478C22×C5—64no—
479C22×C5C22×C4×D311yescharacteristic
480C22×C5C2×D3×D411yescharacteristic
481C22×C5C2×D3×D411yescharacteristic
482C22×C5C2×#23911yescharacteristic
483C22×C5#100711yescharacteristic
484C22×C5D3×#4111yescharacteristic
485C22×C5#100911yescharacteristic
486C2×D5—62no—
487C2×D5—62no—
488C2×D5—62no—
489C2×D5—121no—
490C2×D5—121no—
491C2×D5—121no—
492C2×D5—121no—
493C4×C5—42no—
494C4×C5—62no—
495C4×C5—121no—
496C4×C5D3×C22⋊C414yes—
497Dic5—24no—
498Dic5—22no—
499Dic5—41no—
500Dic5—62no—
501Dic5—122no—
502C24—32no—
503C24—151no—
504#41—3032no—
505C2×Q8—54no—
506C2×Q8—102no—
507C2×Q8—102no—
508C2×D4—34no—
509C2×D4—34no—
510C2×D4—34no—
511C2×D4—158no—
512C2×D4—304no—
513C2×D4—304no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—52no—
517C22×C4—51no—
518C22×C4—51no—
519C22×C4—64no—
520C22×C4—64no—
521C22×C4—122no—
522C22×C4—158no—
523C22×C4—151no—
524C22×C4—154no—
525C22×C4—152no—
526C22×C4—304no—
527C22×C4—304no—
528C22×C4—304no—
529C22×C4—304no—
530C22×C4—302no—
531C22×C4—302no—
532C22×C4—602no—
533C22×C4C2×D3×D512yes—
534C22×C4C2×D3×D511yescharacteristic
535C4⋊C4—22no—
536C4⋊C4—302no—
537C22⋊C4—64no—
538C22⋊C4—302no—
539C22⋊C4—302no—
540C22⋊C4—304no—
541C22⋊C4—602no—
542C42—62no—
543C42—102no—
544C3×C5#233911yescharacteristic, complemented, Hall
545C22×C3C22×C4×D511yescharacteristic
546C22×C3C22×D2011yescharacteristic
547C22×C3C2×#71111yescharacteristic
548C22×C3#414411yescharacteristic
549C22×C3D5×#4111yescharacteristic
550C22×C3#415011yescharacteristic
551C22×C3C22×C22⋊D511yescharacteristic
552C2×D3—24no—
553C2×D3—24no—
554C2×D3—24no—
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—102no—
559C2×D3—102no—
560C2×D3—102no—
561C2×D3—201no—
562C2×D3—201no—
563C2×D3—201no—
564C2×D3—201no—
565C2×D3C2×#68518yes—
566C3×C4—42no—
567C3×C4—104no—
568C3×C4—102no—
569C3×C4—201no—
570C3×C4C2×#68514yes—
571Dic3—22no—
572Dic3—41no—
573Dic3—102no—
574Dic3—202no—
575C2×C5—68no—
576C2×C5C2×D3×C22⋊C411yescharacteristic
577C2×C5C4×#23911yescharacteristic
578C2×C5#557411yescharacteristic
579C2×C5#563011yescharacteristic
580C2×C5#563111yescharacteristic
581C2×C5#567611yescharacteristic
582C2×C5#572611yescharacteristic
583D5—122no—
584C23—34no—
585C23—34no—
586C23—34no—
587C23—62no—
588C23—62no—
589C23—62no—
590C23—62no—
591C23—152no—
592C23—301no—
593C23—301no—
594C23—301no—
595C23—301no—
596C23—301no—
597C23—301no—
598C23C22×D3×D511yescharacteristic
599Q8—108no—
600D4—316no—
601D4—3016no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—32no—
606C2×C4—54no—
607C2×C4—52no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—61no—
611C2×C4—61no—
612C2×C4—61no—
613C2×C4—101no—
614C2×C4—102no—
615C2×C4—101no—
616C2×C4—102no—
617C2×C4—101no—
618C2×C4—101no—
619C2×C4—101no—
620C2×C4—128no—
621C2×C4—152no—
622C2×C4—3016no—
623C2×C4—301no—
624C2×C4—301no—
625C2×C4—308no—
626C2×C4—302no—
627C2×C4—302no—
628C2×C4—302no—
629C2×C4—608no—
630C2×C4C4×D3×D512yes—
631C2×C4D3×D2012yes—
632C2×C4D3×C22⋊D512yes—
633C2×C3C4×#71111yescharacteristic
634C2×C3#6588011yescharacteristic
635C2×C3#6588811yescharacteristic
636C2×C3#6588911yescharacteristic
637C2×C3C22×#68511yescharacteristic
638C2×C3#6614011yescharacteristic
639C2×C3#6615811yescharacteristic
640D3—28no—
641D3—202no—
642C5#7661311yescharacteristic, complemented, Sylow
643C22—38no—
644C22—64no—
645C22—64no—
646C22—64no—
647C22—64no—
648C22—64no—
649C22—64no—
650C22—302no—
651C22—302no—
652C22—302no—
653C22—601no—
654C22—601no—
655C22—601no—
656C22—601no—
657C22C2×C4×D3×D511yescharacteristic
658C22C2×D3×D2011yescharacteristic
659C22D3×#71111yescharacteristic
660C22#9202711yescharacteristic
661C22#9203011yescharacteristic
662C22D5×#23911yescharacteristic
663C22C2×D3×C22⋊D511yescharacteristic
664C4—42no—
665C4—62no—
666C4—104no—
667C4—102no—
668C4—121no—
669C4—201no—
670C4—302no—
671C4—602no—
672C4D3×#68514yes—
673C3#1061406111yescharacteristic, complemented, Sylow
674C2—68no—
675C2—602no—
676C2#1175340611yescharacteristic
677C2#1175340711yescharacteristic
678C2#1175369611yescharacteristic
679C2#1175388111yescharacteristic
680C2C2×D3×#68511yescharacteristic
681C2#1175494911yescharacteristic
682C2#1175516311yescharacteristic
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#2339
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×C5×#893C2semidirect
3. C2×Dic5×D12C2semidirect
4. #11751088C2semidirect
5. C3×#65263C2semidirect
6. #11748914C2semidirect
7. #11748883C2semidirect
8. #11748880C2semidirect
9. D3×#3963C2semidirect
10. C4×#6667C2semidirect
11. #11748609C2semidirect
22. C2×#6768C4semidirect
48. #65263D3semidirect
61. C2×C4×D15C2×C4semidirect
75. C2×C3×Dic10C2×C4semidirect
78. C2×#1203C2×C4semidirect
84. C2×D3×Dic5C2×C4semidirect
96. C2×#893D5semidirect
168. C2×C5×Dic3#41semidirect
169. C5×D12C22⋊C4semidirect
179. C2×C3×Dic5#41semidirect
244. C2×Dic10C4×D3semidirect
383. C2×Dic5#239semidirect
465. C2×Dic3#711semidirect
467. D12#685semidirect
544. C3×C5#2339semidirect
642. C5#76613semidirect
673. C3#10614061semidirect

Maximal subgroups

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

subgroupindex
C22×#67682
C2×C5×#8932
C2×Dic5×D122
#117510882
C3×#652632
#117489142
#117488832
#117488802
D3×#39632
C4×#66672
#117486092
#106140613
#766135