Finite Group Databasebeta

← #14326085

Subgroups — #14326085

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×#6766C211yesmaximal, characteristic
2C2×C3×#4039C211yesmaximal, characteristic, complemented
3C2×Dic3×D20C211yesmaximal, characteristic, complemented
4#11751088C211yesmaximal, characteristic, complemented
5C5×#4973C211yesmaximal, characteristic, complemented
6#11748907C212yesmaximal, complemented
7#11748872C212yesmaximal, complemented
8#11748871C212yesmaximal, complemented
9D5×C3⋊#95C212yesmaximal, complemented
10C4×#6667C211yesmaximal, characteristic, complemented
11#11748589C211yesmaximal, characteristic, complemented
12#10608344—31nomaximal, Hall
13C22×C4×D15C2211yescharacteristic
14C22×C5×Dic6C2211yescharacteristic
15C22×C3×D20C2211yescharacteristic
16C22×C3×C4×D5C2212yes—
17C22×#1202C2212yes—
18C22×D5×Dic3C2212yes—
19C22×D5×Dic3C2212yes—
20C2×#6766—24no—
21C2×#6766—24no—
22C2×#6766C418yescomplemented
23C2×C3×C5×C4⋊C4C2211yescharacteristic
24C2×#6714C2212yes—
25C2×C4⋊Dic15C2211yescharacteristic
26C2×C4×C5×Dic3C2211yescharacteristic
27C2×C3×#685C2212yes—
28C2×C3×C4×Dic5C2211yescharacteristic
29C3×#4039—24no—
30C2×#6667C2211yescharacteristic
31C2×#6667C2211yescharacteristic
32C2×#6665C2212yes—
33Dic3×D20—24no—
34#91115C2212yes—
35C5×C3⋊#95C2212yes—
36C5×C3⋊#95C2212yes—
37#90994C2211yescharacteristic
38#90994C2212yes—
39#90994C2211yescharacteristic
40#90994C2212yes—
41#82330—51nomaximal, Hall
42C22×#713—31no—
43C2×#4039D311yescharacteristic, complemented
44C2×C4×D20—31no—
45C5×#391—31no—
46#65519—31no—
47#65276—31no—
48C4×#685—31no—
49#64954—32no—
50#64954—32no—
51#64953—32no—
52D5×#95—32no—
53C23×D15C2311yescharacteristic
54C23×C3×D5C2312yes—
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×Dic3C2312yes—
64C22×C5×Dic3C2311yescharacteristic
65C2×C5×Dic6—22no—
66C2×C5×Dic6—22no—
67C2×C5×Dic6C2×C414yescomplemented
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2311yescharacteristic
70C2×C3×D20C2×C414yes—
71C2×C3×D20D414yes—
72C2×C3×D20D414yes—
73C2×C3×C4×D5—24no—
74C2×C3×C4×D5—24no—
75C2×C3×C4×D5—42no—
76C2×#1202—24no—
77C2×#1202—24no—
78C2×#1202C2×C418yescomplemented
79C2×D5×Dic3—24no—
80C2×D5×Dic3—24no—
81C2×D5×Dic3—24no—
82C2×D5×Dic3—24no—
83C2×D5×Dic3—42no—
84C2×D5×Dic3C2×C418yescomplemented
85#6766—232no—
86C3×C5×C4⋊C4—22no—
87#6714—42no—
88C4⋊Dic15—22no—
89C4×C5×Dic3—22no—
90C3×#685—24no—
91C3×C4×Dic5—22no—
92#6667—22no—
93#6667—22no—
94#6665—24no—
95C22×#237—51no—
96C2×C3×C4×D4—51no—
97C2×D4×Dic3—51no—
98#5213—52no—
99C2×C3⋊#95—52no—
100#4987—51no—
101#4973D511yescharacteristic, complemented
102#4958—52no—
103#4943—52no—
104C4×(C2×D3)⋊C4—51no—
105#4929—51no—
106C22×C5×Q8—31no—
107C2×#713—38no—
108C2×#713—64no—
109C2×#713—64no—
110C22×D20—32no—
111C22×D20C2×D311yescharacteristic
112C22×C4×D5—32no—
113C22×C4×D5—31no—
114C22×C4×D5—32no—
115C22×C4×D5C2×D312yes—
116C2×C5×C4⋊C4C2×D311yescharacteristic
117C2×C42×C5—31no—
118C2×#685—32no—
119C2×#685—31no—
120C2×#685—31no—
121C2×#685—32no—
122C2×#685C2×D312yes—
123C2×C4⋊Dic5—31no—
124C2×C4×Dic5C2×D311yescharacteristic
125#4039—24no—
126C4×D20—64no—
127C5×#95—32no—
128C5×#95—32no—
129#3963—32no—
130#3963—31no—
131#3963—32no—
132#3963—31no—
133#3963—32no—
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×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5C22×C414yes—
148C22×C3×D5C2×D414yes—
149C22×C3×D5C2×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—22no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3—21no—
170C2×C5×Dic3C22×C414yes—
171C2×C5×Dic3#4112yescomplemented
172C5×Dic6—28no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—21no—
178C2×C3×Dic5#4112yescomplemented
179C3×D20C22⋊C4116yescomplemented
180C3×C4×D5—48no—
181#1202—216no—
182D5×Dic3—216no—
183D5×Dic3—48no—
184C22×C3×D4—51no—
185C23×C3×C4—52no—
186C22×#67—52no—
187C23×Dic3—52no—
188C23×Dic3—52no—
189C2×#237—58no—
190C2×#237—104no—
191C2×#237—104no—
192C22×C4×D3—51no—
193C22×Dic6C2×D511yescharacteristic
194C3×C4×D4—104no—
195C2×C3×C4⋊C4C2×D511yescharacteristic
196C2×C3×C22⋊C4—52no—
197C2×C3×C42—51no—
198C2×#217—52no—
199D4×Dic3—104no—
200C2×(C2×D3)⋊C4—51no—
201C2×(C2×D3)⋊C4—51no—
202C2×(C2×D3)⋊C4—52no—
203C2×C4⋊Dic3—51no—
204C2×C4×Dic3C2×D511yescharacteristic
205C3⋊#95—52no—
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95—51no—
209C3⋊#95—51no—
210C3⋊#95C2×D512yes—
211C3⋊#95C2×D512yes—
212C23×D5—31no—
213C23×D5C22×D312yes—
214C2×C5×Q8—34no—
215C2×C5×Q8—62no—
216C2×C5×Q8—62no—
217C22×C4×C5—31no—
218C22×C4×C5—32no—
219C22×C4×C5—31no—
220C22×C4×C5C22×D312yes—
221C22×C4×C5C22×D311yescharacteristic
222C22×Dic5—31no—
223C22×Dic5—32no—
224C22×Dic5C22×D311yescharacteristic
225C22×Dic5C22×D311yescharacteristic
226#713—632no—
227C2×D20—38no—
228C2×D20—64no—
229C2×D20—64no—
230C2×D20C4×D314yes—
231C2×D20D1214yes—
232C2×D20#6714yes—
233C2×C4×D5—24no—
234C2×C4×D5—24no—
235C2×C4×D5—38no—
236C2×C4×D5—34no—
237C2×C4×D5—42no—
238C2×C4×D5—64no—
239C2×C4×D5—64no—
240C2×C4×D5—62no—
241C2×C4×D5—62no—
242C2×C4×D5—64no—
243C2×C4×D5—64no—
244C2×C4×D5—122no—
245C5×C4⋊C4—22no—
246C42×C5—62no—
247#685—24no—
248#685—62no—
249#685—64no—
250#685—62no—
251#685—122no—
252C4⋊Dic5—62no—
253C4×Dic5—22no—
254C22×#41—151no—
255C2×C4×D4—51no—
256C2×C4×D4—151no—
257#391—31no—
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×C3×D5—24no—
280C2×C3×D5—24no—
281C2×C3×D5—24no—
282C2×C3×D5—24no—
283C2×C3×D5—24no—
284C2×C3×D5—24no—
285C2×C3×D5C2×C22⋊C418yes—
286C3×C4×C5—42no—
287C3×C4×C5C2×C22⋊C414yes—
288Dic15—22no—
289Dic15—42no—
290C3×Dic5—22no—
291C3×Dic5—41no—
292C5×Dic3—24no—
293C5×Dic3—22no—
294C5×Dic3—41no—
295C24×C3—52no—
296C23×D3—51no—
297C2×C3×D4—54no—
298C2×C3×D4—54no—
299C2×C3×D4—54no—
300C22×C3×C4—51no—
301C22×C3×C4—51no—
302C22×C3×C4—104no—
303C22×C3×C4—104no—
304C22×C3×C4—202no—
305C22×C3×C4C22×D512yes—
306C22×C3×C4C22×D511yescharacteristic
307C2×#67—58no—
308C2×#67—104no—
309C2×#67—104no—
310C22×Dic3—51no—
311C22×Dic3—58no—
312C22×Dic3—52no—
313C22×Dic3—104no—
314C22×Dic3—104no—
315C22×Dic3—104no—
316C22×Dic3—104no—
317C22×Dic3—202no—
318C22×Dic3C22×D511yescharacteristic
319C22×Dic3C22×D512yes—
320C22×Dic3C22×D511yescharacteristic
321#237—1032no—
322C2×C4×D3—54no—
323C2×C4×D3—102no—
324C2×C4×D3—102no—
325C2×Dic6—22no—
326C2×Dic6—22no—
327C2×Dic6C4×D514yescomplemented
328C3×C4⋊C4—22no—
329C3×C22⋊C4—104no—
330C3×C42—102no—
331#217—104no—
332(C2×D3)⋊C4—102no—
333(C2×D3)⋊C4—102no—
334(C2×D3)⋊C4—202no—
335C4⋊Dic3—102no—
336C4×Dic3—22no—
337C23×C5C23×D311yescharacteristic
338C22×D5—22no—
339C22×D5—22no—
340C22×D5—22no—
341C22×D5—22no—
342C22×D5—32no—
343C22×D5—61no—
344C22×D5—61no—
345C22×D5—61no—
346C22×D5—61no—
347C22×D5—61no—
348C22×D5—61no—
349C22×D5C2×C4×D314yes—
350C22×D5C2×D1214yes—
351C22×D5C2×#6714yes—
352C5×Q8—68no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—34no—
357C2×C4×C5—32no—
358C2×C4×C5—61no—
359C2×C4×C5—62no—
360C2×C4×C5—61no—
361C2×C4×C5—62no—
362C2×C4×C5—61no—
363C2×C4×C5—61no—
364C2×C4×C5—61no—
365C2×C4×C5C2×C4×D312yes—
366C2×C4×C5C2×D1212yes—
367C2×C4×C5C2×#6712yes—
368C2×Dic5—21no—
369C2×Dic5—21no—
370C2×Dic5—21no—
371C2×Dic5—21no—
372C2×Dic5—21no—
373C2×Dic5—32no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5—62no—
379C2×Dic5#23712yescomplemented
380D20—616no—
381D20(C2×D3)⋊C4116yescomplemented
382C4×D5—48no—
383C4×D5—616no—
384C4×D5—68no—
385C4×D5—128no—
386C2×#41—158no—
387C2×#41—304no—
388C2×#41—304no—
389C22×Q8—31no—
390C22×D4—51no—
391C22×D4—152no—
392C23×C4—52no—
393C23×C4—152no—
394C23×C4—152no—
395C23×C4—151no—
396C4×D4—104no—
397C4×D4—304no—
398C2×C4⋊C4—151no—
399C2×C4⋊C4D3×D511yescharacteristic
400C2×C22⋊C4—52no—
401C2×C22⋊C4—151no—
402C2×C22⋊C4—151no—
403C2×C22⋊C4—152no—
404C2×C22⋊C4—152no—
405C2×C42—31no—
406C2×C42—51no—
407#95—32no—
408#95—32no—
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—
422C3×D5—28no—
423C23×C3—54no—
424C23×C3—54no—
425C23×C3—54no—
426C23×C3—102no—
427C23×C3—102no—
428C23×C3—102no—
429C23×C3—102no—
430C23×C3C23×D511yescharacteristic
431C22×D3—52no—
432C22×D3—101no—
433C22×D3—101no—
434C22×D3—101no—
435C22×D3—101no—
436C22×D3—101no—
437C22×D3—101no—
438C3×D4—516no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—52no—
443C2×C3×C4—101no—
444C2×C3×C4—101no—
445C2×C3×C4—101no—
446C2×C3×C4—101no—
447C2×C3×C4—101no—
448C2×C3×C4—208no—
449C2×C3×C4C2×C4×D512yes—
450C2×C3×C4D4×D512yes—
451C2×C3×C4D4×D512yes—
452#67—1016no—
453C2×Dic3—21no—
454C2×Dic3—22no—
455C2×Dic3—22no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—52no—
461C2×Dic3—1016no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3—102no—
465C2×Dic3—102no—
466C2×Dic3—102no—
467C2×Dic3—208no—
468C2×Dic3C2×C4×D514yes—
469C2×Dic3#71312yescomplemented
470C4×D3—108no—
471Dic6—28no—
472C22×C5C22×C4×D311yescharacteristic
473C22×C5C22×D1211yescharacteristic
474C22×C5C2×#23711yescharacteristic
475C22×C5#100411yescharacteristic
476C22×C5D3×#4111yescharacteristic
477C22×C5#101011yescharacteristic
478C22×C5C22×#6711yescharacteristic
479C2×D5—24no—
480C2×D5—24no—
481C2×D5—24no—
482C2×D5—24no—
483C2×D5—24no—
484C2×D5—24no—
485C2×D5—62no—
486C2×D5—62no—
487C2×D5—62no—
488C2×D5—121no—
489C2×D5—121no—
490C2×D5—121no—
491C2×D5—121no—
492C2×D5C2×(C2×D3)⋊C418yes—
493C4×C5—42no—
494C4×C5—64no—
495C4×C5—62no—
496C4×C5—121no—
497C4×C5C2×(C2×D3)⋊C414yes—
498Dic5—22no—
499Dic5—41no—
500Dic5—62no—
501Dic5—122no—
502C24—52no—
503C24—151no—
504#41—3032no—
505C2×Q8—34no—
506C2×Q8—62no—
507C2×Q8—62no—
508C2×D4—54no—
509C2×D4—54no—
510C2×D4—54no—
511C2×D4—158no—
512C2×D4—304no—
513C2×D4—304no—
514C22×C4—32no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—51no—
518C22×C4—51no—
519C22×C4—104no—
520C22×C4—104no—
521C22×C4—158no—
522C22×C4—151no—
523C22×C4—154no—
524C22×C4—152no—
525C22×C4—202no—
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—104no—
538C22⋊C4—302no—
539C22⋊C4—302no—
540C22⋊C4—304no—
541C22⋊C4—602no—
542C42—62no—
543C42—102no—
544C3×C5#233911yescharacteristic, complemented, Hall
545C22×C3—58no—
546C22×C3—104no—
547C22×C3—104no—
548C22×C3—104no—
549C22×C3—104no—
550C22×C3—104no—
551C22×C3—104no—
552C22×C3C22×C4×D511yescharacteristic
553C22×C3C2×D4×D511yescharacteristic
554C22×C3C2×D4×D511yescharacteristic
555C22×C3C2×#71311yescharacteristic
556C22×C3#414711yescharacteristic
557C22×C3D5×#4111yescharacteristic
558C22×C3#414911yescharacteristic
559C2×D3—102no—
560C2×D3—102no—
561C2×D3—102no—
562C2×D3—201no—
563C2×D3—201no—
564C2×D3—201no—
565C2×D3—201no—
566C3×C4—42no—
567C3×C4—102no—
568C3×C4—201no—
569C3×C4D5×C22⋊C414yes—
570Dic3—24no—
571Dic3—22no—
572Dic3—41no—
573Dic3—102no—
574Dic3—202no—
575C2×C5C4×#23711yescharacteristic
576C2×C5#554611yescharacteristic
577C2×C5#555411yescharacteristic
578C2×C5#555511yescharacteristic
579C2×C5C22×(C2×D3)⋊C411yescharacteristic
580C2×C5#580611yescharacteristic
581C2×C5#582411yescharacteristic
582D5—28no—
583D5—122no—
584C23—54no—
585C23—54no—
586C23—54no—
587C23—102no—
588C23—102no—
589C23—102no—
590C23—102no—
591C23—152no—
592C23—301no—
593C23—301no—
594C23—301no—
595C23—301no—
596C23—301no—
597C23—301no—
598C23C22×D3×D511yescharacteristic
599Q8—68no—
600D4—516no—
601D4—3016no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—34no—
606C2×C4—32no—
607C2×C4—52no—
608C2×C4—61no—
609C2×C4—62no—
610C2×C4—61no—
611C2×C4—62no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—61no—
615C2×C4—101no—
616C2×C4—101no—
617C2×C4—101no—
618C2×C4—101no—
619C2×C4—101no—
620C2×C4—152no—
621C2×C4—208no—
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×C4D5×D1212yes—
632C2×C4D5×#6712yes—
633C2×C3—108no—
634C2×C3C2×D5×C22⋊C411yescharacteristic
635C2×C3C4×#71311yescharacteristic
636C2×C3#6590811yescharacteristic
637C2×C3#6596411yescharacteristic
638C2×C3#6596511yescharacteristic
639C2×C3#6601011yescharacteristic
640C2×C3#6606011yescharacteristic
641D3—202no—
642C5#8233011yescharacteristic, complemented, Sylow
643C22—58no—
644C22—104no—
645C22—104no—
646C22—104no—
647C22—104no—
648C22—104no—
649C22—104no—
650C22—302no—
651C22—302no—
652C22—302no—
653C22—601no—
654C22—601no—
655C22—601no—
656C22—601no—
657C22C2×C4×D3×D511yescharacteristic
658C22C2×D5×D1211yescharacteristic
659C22D5×#23711yescharacteristic
660C22#9202611yescharacteristic
661C22#9202811yescharacteristic
662C22D3×#71311yescharacteristic
663C22C2×D5×#6711yescharacteristic
664C4—42no—
665C4—64no—
666C4—62no—
667C4—102no—
668C4—121no—
669C4—201no—
670C4—302no—
671C4—602no—
672C4D5×(C2×D3)⋊C414yes—
673C3#1060834411yescharacteristic, complemented, Sylow
674C2—108no—
675C2—602no—
676C2#1175340011yescharacteristic
677C2#1175340111yescharacteristic
678C2#1175343611yescharacteristic
679C2#1175387611yescharacteristic
680C2C2×D5×(C2×D3)⋊C411yescharacteristic
681C2#1175493111yescharacteristic
682C2#1175515711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC22×#6766C2
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×C3×#4039C2semidirect
3. C2×Dic3×D20C2semidirect
4. #11751088C2semidirect
5. C5×#4973C2semidirect
6. #11748907C2semidirect
7. #11748872C2semidirect
8. #11748871C2semidirect
9. D5×C3⋊#95C2semidirect
10. C4×#6667C2semidirect
11. #11748589C2semidirect
22. C2×#6766C4semidirect
43. C2×#4039D3semidirect
61. C2×C4×D15C2×C4semidirect
67. C2×C5×Dic6C2×C4semidirect
78. C2×#1202C2×C4semidirect
84. C2×D5×Dic3C2×C4semidirect
101. #4973D5semidirect
171. C2×C5×Dic3#41semidirect
178. C2×C3×Dic5#41semidirect
179. C3×D20C22⋊C4semidirect
327. C2×Dic6C4×D5semidirect
379. C2×Dic5#237semidirect
381. D20(C2×D3)⋊C4semidirect
469. C2×Dic3#713semidirect
544. C3×C5#2339semidirect
642. C5#82330semidirect
673. C3#10608344semidirect

Maximal subgroups

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

subgroupindex
C22×#67662
C2×C3×#40392
C2×Dic3×D202
#117510882
C5×#49732
#117489072
#117488722
#117488712
D5×C3⋊#952
C4×#66672
#117485892
#106083443
#823305