Finite Group Databasebeta

← #14417212

Subgroups — #14417212

Order 1920.

940 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65880C211yesmaximal, characteristic
2C2×#91484C211yesmaximal, characteristic
3#11752516C211yesmaximal, characteristic, complemented
4#11751119C211yesmaximal, characteristic, complemented
5C4×C5×#214C211yesmaximal, characteristic, complemented
6#11749001C211yesmaximal, characteristic, complemented
7#11748998C211yesmaximal, characteristic, complemented
8#11748961C211yesmaximal, characteristic
9D5×#810C211yesmaximal, characteristic, complemented
10#11747453C211yesmaximal, characteristic, complemented
11#11747269C211yesmaximal, characteristic, complemented
12#11747263C211yesmaximal, characteristic, complemented
13C4×#6662C211yesmaximal, characteristic, complemented
14#11747089C211yesmaximal, characteristic, complemented
15#11746974C211yesmaximal, characteristic, complemented
16#10611379—31nomaximal, Hall
17C2×C3×#711C2211yescharacteristic
18C2×D5×Dic6C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C2×C5×#214C2211yescharacteristic
23C4×C5×Dic6C2211yescharacteristic
24C3×D4×Dic5C2211yescharacteristic
25C3×C4×C22⋊D5—21no—
26C2×C3×#683—21no—
27C3×D5×C4⋊C4C2211yescharacteristic
28C3×#4033C2211yescharacteristic
29C3×#4027—21no—
30C3×#4023—21no—
31C3×#4018C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91484C418yescomplemented
34#91394—21no—
35#91393—21no—
36#91358C2211yescharacteristic
37#91333C2211yescharacteristic
38Dic5×Dic6C2211yescharacteristic
39#91325—21no—
40#91324—21no—
41C2×#6662C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6649C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91116C2211yescharacteristic
46#91094C2211yescharacteristic
47#91091C2211yescharacteristic
48#91087C2211yescharacteristic
49C5×#832C2211yescharacteristic
50C5×#810C2211yescharacteristic
51C5×#808C2211yescharacteristic
52C4×C5×C3⋊C8C2211yescharacteristic
53#90990C2211yescharacteristic
54#90986C2211yescharacteristic
55#90974C2211yescharacteristic
56#90972C2211yescharacteristic
57#90971C2211yescharacteristic
58#90970C2211yescharacteristic
59#90952C2211yescharacteristic
60Dic5×C3⋊C8C2211yescharacteristic
61#82571—51nomaximal, Hall
62C2×#4061—31no—
63#65906—31no—
64#65880D311yescharacteristic
65C4×C5×SD16—31no—
66#65453—31no—
67#65319—31no—
68#65307—31no—
69#65150—31no—
70#65142—31no—
71D5×#103—31no—
72#65079—31no—
73#65061—31no—
74#65047—31no—
75C4×Dic20—31no—
76#64978—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×Dic6C2311yescharacteristic
81C2×C3×C22⋊D5—21no—
82C22×C3×Dic5—21no—
83C22×C3×Dic5—21no—
84C3×#711—22no—
85C3×#711C2×C414yes—
86C2×C3×C4×D5—21no—
87C2×C3×C4×D5C2311yescharacteristic
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D5×Dic3—21no—
91D5×Dic6—22no—
92D5×Dic6C2×C414yescomplemented
93C3×C5×C4⋊C4C2311yescharacteristic
94C3×C5×C22⋊C4—21no—
95C3×C42×C5C2311yescharacteristic
96#6716C2×C414yescomplemented
97C4⋊Dic15C2311yescharacteristic
98#6712—21no—
99C4×Dic15—21no—
100C2×C3⋊#168C2311yescharacteristic
101C2×C3⋊#168C2311yescharacteristic
102C5×#214C2×C414yescomplemented
103C5×C4⋊Dic3C2311yescharacteristic
104C5×Dic3⋊C4—21no—
105C4×C5×Dic3—21no—
106C2×C5×C3⋊C8C2311yescharacteristic
107C2×C5×C3⋊C8C2311yescharacteristic
108C3×C22⋊Dic5—21no—
109C3×#685D411yescharacteristic
110C3×#685D411yescharacteristic
111C3×C4⋊Dic5C2311yescharacteristic
112C3×#683—21no—
113C3×#683—21no—
114C3×#683—21no—
115C3×#683D411yescharacteristic
116C3×#683D411yescharacteristic
117C3×C4×Dic5—21no—
118C3×C4×Dic5—21no—
119C3×C4×Dic5C2311yescharacteristic
120Dic3⋊Dic5—21no—
121#6669—21no—
122#6665—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6662C2×C414yescomplemented
127#6661C2×C414yescomplemented
128#6649C2×C414yescomplemented
129D5×C3⋊C8—22no—
130C3×#520—51no—
131C2×#951—51no—
132#5516—51no—
133#5233—51no—
134#5030—51no—
135#5030—51no—
136C4×#216—51no—
137C4×#216—51no—
138#5018—51no—
139#5018—51no—
140C4×#214—51no—
141C4×#214D511yescharacteristic, complemented
142#4997—51no—
143C2×#810—51no—
144#4964—51no—
145C2×Q8×D5—31no—
146C2×#711C2×D311yescharacteristic
147C2×C5×SD16—31no—
148C4×C5×Q8—31no—
149C4×C5×D4C2×D311yescharacteristic
150Q8×Dic5—31no—
151C2×#689—31no—
152D4×Dic5C2×D311yescharacteristic
153C2×#687—31no—
154C4×C22⋊D5—21no—
155C2×#683—21no—
156#4061—38no—
157C2×Dic20—31no—
158C2×#676—31no—
159C2×C8×D5—31no—
160#4038—31no—
161#4038—61no—
162D5×C4⋊C4C2×D311yescharacteristic
163#4033—31no—
164#4033—61no—
165#4033C2×D311yescharacteristic
166#4027—21no—
167#4023—21no—
168#4018—61no—
169#4018C2×D311yescharacteristic
170C4×Dic10—31no—
171C4×Dic10—61no—
172C4×Dic10C2×D311yescharacteristic
173C5×#106—31no—
174C5×#103—31no—
175C5×#102—31no—
176C4×C5×C8—31no—
177#3967—31no—
178#3964—31no—
179#3950—31no—
180#3948—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3942—31no—
186#3940—31no—
187#3939—31no—
188#3935—31no—
189#2947—151noSylow
190C23×C3×C5—21no—
191C22×C3×D5C2×D411yescharacteristic
192C3×C5×D4—21no—
193C3×C5×D4C22×C412yes—
194C2×C3×C4×C5—21no—
195C2×C3×C4×C5—81no—
196C2×C3×C4×C5C2×D411yescharacteristic
197C2×C3×C4×C5C2×D411yescharacteristic
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201Dic30—21no—
202Dic30C22×C412yes—
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C5×Dic6—21no—
206C5×Dic6C22×C412yes—
207C3×C22⋊D5—24no—
208C2×C3×Dic5—21no—
209C2×C3×Dic5—24no—
210C2×C3×Dic5—21no—
211C2×C3×Dic5—81no—
212C2×C3×Dic5C2×D411yescharacteristic
213C2×C3×Dic5C2×D411yescharacteristic
214C2×C3×Dic5C2×D411yescharacteristic
215C3×C4×D5—81no—
216C3×C4×D5C22×C412yes—
217C3×C4×D5#4112yes—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D5×Dic3—24no—
222C3⋊#168—21no—
223C3⋊#168C22×C412yes—
224C5×C3⋊C8—21no—
225C5×C3⋊C8C22×C412yes—
226C2×C3×#41—51no—
227C22×Dic6—51no—
228C3×C4×Q8—51no—
229C3×C4×Q8—51no—
230C3×C4×D4—51no—
231C3×C4×D4—101no—
232C3×C4×D4—101no—
233C3×C4×D4C2×D511yescharacteristic
234C3×#117—51no—
235C3×#117—101no—
236C2×C3×C4⋊C4—51no—
237C2×C3×C4⋊C4—101no—
238#951—58no—
239C2×#216—51no—
240C2×#216—51no—
241C2×#214—51no—
242C2×#214C2×D511yescharacteristic
243#926—51no—
244C2×#208—51no—
245C22×C3⋊C8—51no—
246#887—101no—
247#887—101no—
248#877—101no—
249#877—101no—
250C4×Dic6—51no—
251C4×Dic6—51no—
252C4×Dic6—51no—
253C4×Dic6C2×D511yescharacteristic
254#835—51no—
255#835—51no—
256#832—51no—
257#832C2×D511yescharacteristic
258#810—51no—
259#810—51no—
260#810—51no—
261#810C2×D511yescharacteristic
262#808—51no—
263#808C2×D511yescharacteristic
264#807—51no—
265#807—51no—
266#803—51no—
267#803—51no—
268C4×C3⋊C8—51no—
269C4×C3⋊C8C2×D511yescharacteristic
270C2×C5×Q8—31no—
271C2×C5×D4C22×D311yescharacteristic
272C22×C4×C5—21no—
273C2×C22⋊D5—21no—
274C22×Dic5—21no—
275C22×Dic5—21no—
276Q8×D5—34no—
277Q8×D5—62no—
278#711—22no—
279#711C4×D314yes—
280C2×C4×D5—21no—
281C2×C4×D5—61no—
282C2×C4×D5C22×D311yescharacteristic
283C2×Dic10—31no—
284C2×Dic10—61no—
285C2×Dic10C22×D311yescharacteristic
286C5×SD16—34no—
287C2×C5×C8—31no—
288C2×C5×C8—31no—
289C5×C4⋊C4—31no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4C22×D311yescharacteristic
292C5×C22⋊C4—21no—
293C42×C5—61no—
294C42×C5C22×D311yescharacteristic
295C22⋊Dic5—21no—
296#689—34no—
297#687—34no—
298#685—61no—
299#685#6711yescharacteristic
300#685#6711yescharacteristic
301C4⋊Dic5—31no—
302C4⋊Dic5—61no—
303C4⋊Dic5C22×D311yescharacteristic
304#683—21no—
305#683—21no—
306#683—21no—
307#683—61no—
308#683—61no—
309#683#6711yescharacteristic
310#683#6711yescharacteristic
311C4×Dic5—21no—
312C4×Dic5—21no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5C22×D311yescharacteristic
318C2×#168—31no—
319C2×#168—31no—
320Dic20—34no—
321#676—34no—
322C8×D5—62no—
323C2×#137—151no—
324#520—51no—
325#519—151no—
326#441—151no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—31no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—151no—
338C22×C3×C5—22no—
339C22×C3×C5—41no—
340C22×C3×C5—41no—
341C22×C3×C5C22×D411yescharacteristic
342C2×C3×D5—21no—
343C2×C3×D5—21no—
344C2×C3×D5C4×D412yes—
345C3×C4×C5—21no—
346C3×C4×C5—21no—
347C3×C4×C5—41no—
348C3×C4×C5C23×C411yescharacteristic
349C3×C4×C5C2×#4111yescharacteristic
350Dic15—22no—
351Dic15—41no—
352C3×Dic5—22no—
353C3×Dic5—21no—
354C3×Dic5—21no—
355C3×Dic5—41no—
356C3×Dic5C4×D412yes—
357C5×Dic3—22no—
358C5×Dic3—41no—
359C3×#41—54no—
360C3×#41—102no—
361C2×C3×Q8—51no—
362C2×C3×D4—101no—
363C2×C3×D4C22×D511yescharacteristic
364C22×C3×C4—21no—
365C22×C3×C4—51no—
366C22×C3×C4—101no—
367C22×C3×C4—101no—
368C22×C3×C4—101no—
369C22×Dic3—101no—
370C2×Dic6—51no—
371C2×Dic6—54no—
372C2×Dic6—102no—
373C2×Dic6—101no—
374C2×Dic6C22×D511yescharacteristic
375C3×C4⋊C4—51no—
376C3×C4⋊C4—51no—
377C3×C4⋊C4—51no—
378C3×C4⋊C4—101no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4—101no—
381C3×C4⋊C4C22×D511yescharacteristic
382C3×C22⋊C4—21no—
383C3×C22⋊C4—51no—
384C3×C22⋊C4—51no—
385C3×C22⋊C4—101no—
386C3×C42—51no—
387C3×C42—101no—
388C3×C42—101no—
389C3×C42C22×D511yescharacteristic
390#217—101no—
391#216—54no—
392#216—54no—
393#214—54no—
394#214C4×D514yescomplemented
395C4⋊Dic3—51no—
396C4⋊Dic3C22×D511yescharacteristic
397Dic3⋊C4—21no—
398Dic3⋊C4—101no—
399Dic3⋊C4—101no—
400Dic3⋊C4—101no—
401C4×Dic3—21no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406#208—54no—
407C2×C3⋊C8—51no—
408C2×C3⋊C8—51no—
409C2×C3⋊C8—102no—
410C2×C3⋊C8C22×D511yescharacteristic
411C2×C3⋊C8C22×D511yescharacteristic
412C23×C5—21no—
413C22×D5C2×#6711yescharacteristic
414C5×Q8—32no—
415C5×Q8—61no—
416C5×D4—21no—
417C5×D4C2×C4×D312yes—
418C2×C4×C5—21no—
419C2×C4×C5—61no—
420C2×C4×C5—61no—
421C2×C4×C5—81no—
422C2×C4×C5C2×#6711yescharacteristic
423C2×C4×C5C2×#6711yescharacteristic
424C2×C4×C5C23×D311yescharacteristic
425C22⋊D5—24no—
426C2×Dic5—21no—
427C2×Dic5—24no—
428C2×Dic5—21no—
429C2×Dic5—61no—
430C2×Dic5—61no—
431C2×Dic5—81no—
432C2×Dic5C2×#6711yescharacteristic
433C2×Dic5C2×#6711yescharacteristic
434C2×Dic5C2×#6711yescharacteristic
435C4×D5—64no—
436C4×D5—81no—
437C4×D5C2×C4×D312yes—
438C4×D5#23512yes—
439Dic10—21no—
440Dic10—32no—
441Dic10—61no—
442Dic10—64no—
443Dic10C2×C4×D312yes—
444C5×C8—32no—
445C5×C8—61no—
446#168—32no—
447#168—61no—
448C2×#41—51no—
449C22×Q8—151no—
450#137—158no—
451C2×Q16—151no—
452C2×Q16—151no—
453C2×SD16—31no—
454C2×SD16—151no—
455C2×M16—151no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—51no—
459C4×Q8—51no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—51no—
466C4×D4—101no—
467C4×D4—101no—
468C4×D4D3×D511yescharacteristic
469#117—51no—
470#117—101no—
471#117—151no—
472#117—301no—
473#117—301no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—101no—
476#107—151no—
477#107—151no—
478#106—31no—
479#106—151no—
480#103—31no—
481#103—151no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—31no—
487#102—151no—
488#97—151no—
489#97—151no—
490C4×C8—31no—
491C4×C8—151no—
492C2×C3×C5—42no—
493C2×C3×C5C2×C4×D411yescharacteristic
494C2×C3×C5#57711yescharacteristic
495C2×C3×C5#57811yescharacteristic
496C3×D5—22no—
497C23×C3—21no—
498C23×C3—51no—
499C3×Q8—52no—
500C3×Q8—101no—
501C3×D4—21no—
502C3×D4—104no—
503C3×D4C2×C4×D512yes—
504C2×C3×C4—21no—
505C2×C3×C4—51no—
506C2×C3×C4—52no—
507C2×C3×C4—52no—
508C2×C3×C4—51no—
509C2×C3×C4—51no—
510C2×C3×C4—81no—
511C2×C3×C4—104no—
512C2×C3×C4—101no—
513C2×C3×C4—101no—
514C2×C3×C4—401no—
515C2×C3×C4—401no—
516C2×C3×C4D4×D511yescharacteristic
517C2×C3×C4D4×D511yescharacteristic
518C2×C3×C4C23×D511yescharacteristic
519C2×Dic3—21no—
520C2×Dic3—21no—
521C2×Dic3—104no—
522C2×Dic3—101no—
523C2×Dic3—101no—
524Dic6—21no—
525Dic6—52no—
526Dic6—104no—
527Dic6—101no—
528Dic6C2×C4×D512yes—
529C3⋊C8—21no—
530C3⋊C8—52no—
531C3⋊C8—101no—
532C3⋊C8C2×C4×D512yes—
533C22×C5—22no—
534C22×C5—41no—
535C22×C5—41no—
536C22×C5C22×#6711yescharacteristic
537C2×D5—21no—
538C2×D5—21no—
539C2×D5C4×#6712yes—
540C4×C5—21no—
541C4×C5—21no—
542C4×C5—41no—
543C4×C5—62no—
544C4×C5—121no—
545C4×C5C22×C4×D311yescharacteristic
546C4×C5C2×#23511yescharacteristic
547Dic5—22no—
548Dic5—21no—
549Dic5—21no—
550Dic5—41no—
551Dic5—62no—
552Dic5—121no—
553Dic5C4×#6712yes—
554#41—54no—
555#41—102no—
556C2×Q8—31no—
557C2×Q8—51no—
558C2×Q8—154no—
559C2×Q8—151no—
560C2×Q8—301no—
561C2×Q8—302no—
562C2×D4—101no—
563C2×D4C2×D3×D511yescharacteristic
564C22×C4—21no—
565C22×C4—51no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—101no—
569C22×C4—301no—
570Q16—154no—
571Q16—154no—
572SD16—34no—
573SD16—154no—
574M16—154no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—151no—
578C2×C8—151no—
579C2×C8—302no—
580C4⋊C4—31no—
581C4⋊C4—51no—
582C4⋊C4—51no—
583C4⋊C4—51no—
584C4⋊C4—61no—
585C4⋊C4—101no—
586C4⋊C4—101no—
587C4⋊C4—101no—
588C4⋊C4—151no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C22⋊C4—21no—
594C22⋊C4—51no—
595C22⋊C4—51no—
596C22⋊C4—101no—
597C22⋊C4—301no—
598C42—51no—
599C42—61no—
600C42—101no—
601C42—101no—
602C42—301no—
603C42—301no—
604C42—301no—
605C42—301no—
606C42C2×D3×D511yescharacteristic
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3—22no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—52no—
612C22×C3—101no—
613C22×C3—101no—
614C22×C3C2×D4×D511yescharacteristic
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—41no—
618C3×C4—52no—
619C3×C4—101no—
620C3×C4—101no—
621C3×C4—102no—
622C3×C4—201no—
623C3×C4C22×C4×D511yescharacteristic
624C3×C4D5×#4111yescharacteristic
625Dic3—22no—
626Dic3—41no—
627Dic3—102no—
628Dic3—201no—
629C2×C5—42no—
630C2×C5C2×C4×#6711yescharacteristic
631C2×C5#583611yescharacteristic
632C2×C5#583811yescharacteristic
633D5—22no—
634C23—21no—
635C23—51no—
636Q8—32no—
637Q8—52no—
638Q8—61no—
639Q8—101no—
640Q8—152no—
641Q8—304no—
642Q8—301no—
643D4—21no—
644D4—104no—
645D4C4×D3×D512yes—
646C2×C4—21no—
647C2×C4—51no—
648C2×C4—52no—
649C2×C4—52no—
650C2×C4—51no—
651C2×C4—51no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—81no—
655C2×C4—104no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—304no—
659C2×C4—301no—
660C2×C4—301no—
661C2×C4—401no—
662C2×C4—401no—
663C2×C4D5×#6711yescharacteristic
664C2×C4D5×#6711yescharacteristic
665C2×C4C22×D3×D511yescharacteristic
666C8—32no—
667C8—61no—
668C8—152no—
669C8—301no—
670C2×C3—42no—
671C2×C3—102no—
672C2×C3C4×D4×D511yescharacteristic
673C2×C3#6609611yescharacteristic
674C2×C3#6610511yescharacteristic
675C5#8257111yescharacteristic, complemented, Sylow
676C22—22no—
677C22—41no—
678C22—41no—
679C22—52no—
680C22—101no—
681C22—101no—
682C22C2×D5×#6711yescharacteristic
683C4—21no—
684C4—21no—
685C4—41no—
686C4—52no—
687C4—62no—
688C4—101no—
689C4—102no—
690C4—101no—
691C4—121no—
692C4—201no—
693C4—302no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D5×#23511yescharacteristic
697C3#1061137911yescharacteristic, complemented, Sylow
698C2—42no—
699C2—102no—
700C2C4×D5×#6711yescharacteristic
701C2#1175470711yescharacteristic
702C2#1175533811yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×#711C22
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
3. #11752516C2semidirect
4. #11751119C2semidirect
5. C4×C5×#214C2semidirect
6. #11749001C2semidirect
7. #11748998C2semidirect
9. D5×#810C2semidirect
10. #11747453C2semidirect
11. #11747269C2semidirect
12. #11747263C2semidirect
13. C4×#6662C2semidirect
14. #11747089C2semidirect
15. #11746974C2semidirect
33. #91484C4semidirect
92. D5×Dic6C2×C4semidirect
96. #6716C2×C4semidirect
102. C5×#214C2×C4semidirect
126. #6662C2×C4semidirect
127. #6661C2×C4semidirect
128. #6649C2×C4semidirect
141. C4×#214D5semidirect
394. #214C4×D5semidirect
607. C3×C5#2947semidirect
675. C5#82571semidirect
697. C3#10611379semidirect

Maximal subgroups

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

subgroupindex
C3×#658802
C2×#914842
#117525162
#117511192
C4×C5×#2142
#117490012
#117489982
#117489612
D5×#8102
#117474532
#117472692
#117472632
C4×#66622
#117470892
#117469742
#106113793
#825715