Finite Group Databasebeta

← #14417214

Subgroups — #14417214

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
1C5×#5546C211yesmaximal, characteristic
2C2×#91486C211yesmaximal, characteristic
3#11752523C211yesmaximal, characteristic, complemented
4#11751119C211yesmaximal, characteristic, complemented
5C3×C4×#687C211yesmaximal, characteristic, complemented
6#11749011C211yesmaximal, characteristic, complemented
7#11749010C211yesmaximal, characteristic, complemented
8#11748965C211yesmaximal, characteristic
9D3×#3942C211yesmaximal, characteristic, complemented
10#11747455C211yesmaximal, characteristic, complemented
11#11747276C211yesmaximal, characteristic, complemented
12#11747266C211yesmaximal, characteristic, complemented
13C4×#6663C211yesmaximal, characteristic, complemented
14#11747089C211yesmaximal, characteristic, complemented
15#11746977C211yesmaximal, characteristic, complemented
16#10614302—31nomaximal, Hall
17C2×C5×#237C2211yescharacteristic
18C2×D3×Dic10C2211yescharacteristic
19C3×C4×C5×D4C2211yescharacteristic
20C2×#6716C2211yescharacteristic
21C4×Dic30C2211yescharacteristic
22C5×D4×Dic3C2211yescharacteristic
23C4×C5×#67—21no—
24C2×C5×Dic3⋊C4—21no—
25C5×D3×C4⋊C4C2211yescharacteristic
26C5×#887C2211yescharacteristic
27C5×#67⋊C4—21no—
28C5×#877—21no—
29C5×#872C2211yescharacteristic
30C4×C5×Dic6C2211yescharacteristic
31C2×C3×#687C2211yescharacteristic
32C3×C4×Dic10C2211yescharacteristic
33#91486C418yescomplemented
34#91400—21no—
35#91398—21no—
36#91340C2211yescharacteristic
37#91338C2211yescharacteristic
38Dic3×Dic10C2211yescharacteristic
39#91325—21no—
40#91323—21no—
41C2×#6663C2211yescharacteristic
42C2×#6661C2211yescharacteristic
43C2×#6650C2211yescharacteristic
44C2×D3×#168C2211yescharacteristic
45#91116C2211yescharacteristic
46#91094C2211yescharacteristic
47#91091C2211yescharacteristic
48#91087C2211yescharacteristic
49C3×#3964C2211yescharacteristic
50C3×#3942C2211yescharacteristic
51C3×#3940C2211yescharacteristic
52C3×C4×#168C2211yescharacteristic
53#90988C2211yescharacteristic
54#90986C2211yescharacteristic
55#90975C2211yescharacteristic
56#90973C2211yescharacteristic
57#90972C2211yescharacteristic
58#90970C2211yescharacteristic
59#90953C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#79648—51nomaximal, Hall
62C5×#520—31no—
63C2×#4097—31no—
64#65850—31no—
65#65522—31no—
66#65319—31no—
67#65319—31no—
68C4×#689—31no—
69C4×#689—31no—
70#65307—31no—
71#65307—31no—
72C4×#687—31no—
73C4×#687D311yescharacteristic, complemented
74#65286—31no—
75C2×#3942—31no—
76#65253—31no—
77C2×C3×C5×D4C2311yescharacteristic
78C22×C3×C4×C5—21no—
79C2×Dic30C2311yescharacteristic
80C2×C5×#67—21no—
81C22×C5×Dic3—21no—
82C22×C5×Dic3—21no—
83C5×#237—22no—
84C5×#237C2×C414yes—
85C2×C4×C5×D3—21no—
86C2×C4×C5×D3C2311yescharacteristic
87C2×C5×Dic6C2311yescharacteristic
88C2×C3×Dic10C2311yescharacteristic
89C2×#1204—21no—
90C2×D3×Dic5—21no—
91D3×Dic10—22no—
92D3×Dic10C2×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×#217—21no—
103C5×(C2×D3)⋊C4D411yescharacteristic
104C5×(C2×D3)⋊C4D411yescharacteristic
105C5×C4⋊Dic3C2311yescharacteristic
106C5×Dic3⋊C4—21no—
107C5×Dic3⋊C4—21no—
108C5×Dic3⋊C4—21no—
109C5×Dic3⋊C4D411yescharacteristic
110C5×Dic3⋊C4D411yescharacteristic
111C4×C5×Dic3—21no—
112C4×C5×Dic3—21no—
113C4×C5×Dic3C2311yescharacteristic
114C3×#687C2×C414yescomplemented
115C3×C4⋊Dic5C2311yescharacteristic
116C3×#683—21no—
117C3×C4×Dic5—21no—
118C2×C3×#168C2311yescharacteristic
119C2×C3×#168C2311yescharacteristic
120#6669—21no—
121#6668—21no—
122(C2×D3)⋊Dic5—21no—
123Dic3×Dic5—21no—
124Dic3×Dic5—21no—
125Dic3×Dic5—21no—
126#6663C2×C414yescomplemented
127#6661C2×C414yescomplemented
128#6650C2×C414yescomplemented
129D3×#168—22no—
130C2×#915—51no—
131#5572—51no—
132#5546D511yescharacteristic
133C3×C4×SD16—51no—
134#5164—51no—
135#5030—51no—
136#5018—51no—
137#4861—51no—
138#4853—51no—
139D3×#103—51no—
140#4790—51no—
141#4772—51no—
142#4758—51no—
143C4×Dic12—51no—
144#4689—51no—
145C2×C5×#41—31no—
146C22×Dic10—31no—
147C4×C5×Q8—31no—
148C4×C5×Q8—31no—
149C4×C5×D4—31no—
150C4×C5×D4—61no—
151C4×C5×D4—61no—
152C4×C5×D4C2×D311yescharacteristic
153C5×#117—31no—
154C5×#117—61no—
155C2×C5×C4⋊C4—31no—
156C2×C5×C4⋊C4—61no—
157#4097—38no—
158C2×#689—31no—
159C2×#689—31no—
160C2×#687—31no—
161C2×#687C2×D311yescharacteristic
162#4072—31no—
163C2×#681—31no—
164C22×#168—31no—
165#4033—61no—
166#4033—61no—
167#4023—61no—
168#4023—61no—
169C4×Dic10—31no—
170C4×Dic10—31no—
171C4×Dic10—31no—
172C4×Dic10C2×D311yescharacteristic
173#3967—31no—
174#3967—31no—
175#3964—31no—
176#3964C2×D311yescharacteristic
177#3942—31no—
178#3942—31no—
179#3942—31no—
180#3942C2×D311yescharacteristic
181#3940—31no—
182#3940C2×D311yescharacteristic
183#3939—31no—
184#3939—31no—
185#3935—31no—
186#3935—31no—
187C4×#168—31no—
188C4×#168C2×D311yescharacteristic
189#2947—151noSylow
190C23×C3×C5—21no—
191C22×C5×D3C2×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—
203C5×#67—24no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3—24no—
206C2×C5×Dic3—21no—
207C2×C5×Dic3—81no—
208C2×C5×Dic3C2×D411yescharacteristic
209C2×C5×Dic3C2×D411yescharacteristic
210C2×C5×Dic3C2×D411yescharacteristic
211C4×C5×D3—81no—
212C4×C5×D3C22×C412yes—
213C4×C5×D3#4112yes—
214C5×Dic6—21no—
215C5×Dic6C22×C412yes—
216C2×C3×Dic5—21no—
217C2×C3×Dic5—21no—
218C3×Dic10—21no—
219C3×Dic10C22×C412yes—
220#1204—24no—
221D3×Dic5—24no—
222C3⋊#168—21no—
223C3⋊#168C22×C412yes—
224C3×#168—21no—
225C3×#168C22×C412yes—
226C2×D3×Q8—51no—
227C2×#237C2×D511yescharacteristic
228C2×C3×SD16—51no—
229C3×C4×Q8—51no—
230C3×C4×D4C2×D511yescharacteristic
231Q8×Dic3—51no—
232C2×#216—51no—
233D4×Dic3C2×D511yescharacteristic
234C2×#214—51no—
235C4×#67—21no—
236C2×Dic3⋊C4—21no—
237#915—58no—
238C2×Dic12—51no—
239C2×ΓL(1,𝔽25)—51no—
240C2×D3×C8—51no—
241#892—51no—
242#892—101no—
243D3×C4⋊C4C2×D511yescharacteristic
244#887—51no—
245#887—101no—
246#887C2×D511yescharacteristic
247#67⋊C4—21no—
248#877—21no—
249#872—101no—
250#872C2×D511yescharacteristic
251C4×Dic6—51no—
252C4×Dic6—101no—
253C4×Dic6C2×D511yescharacteristic
254C3×#106—51no—
255C3×#103—51no—
256C3×#102—51no—
257C3×C4×C8—51no—
258#835—51no—
259#832—51no—
260#818—51no—
261#816—51no—
262#816—51no—
263#815—51no—
264C8×Dic3—51no—
265#810—51no—
266#810—51no—
267#808—51no—
268#807—51no—
269#803—51no—
270C5×#41—34no—
271C5×#41—62no—
272C2×C5×Q8—31no—
273C2×C5×D4—61no—
274C2×C5×D4C22×D311yescharacteristic
275C22×C4×C5—21no—
276C22×C4×C5—31no—
277C22×C4×C5—61no—
278C22×C4×C5—61no—
279C22×C4×C5—61no—
280C22×Dic5—61no—
281C2×Dic10—31no—
282C2×Dic10—34no—
283C2×Dic10—62no—
284C2×Dic10—61no—
285C2×Dic10C22×D311yescharacteristic
286C5×C4⋊C4—31no—
287C5×C4⋊C4—31no—
288C5×C4⋊C4—31no—
289C5×C4⋊C4—61no—
290C5×C4⋊C4—61no—
291C5×C4⋊C4—61no—
292C5×C4⋊C4C22×D311yescharacteristic
293C5×C22⋊C4—21no—
294C5×C22⋊C4—31no—
295C5×C22⋊C4—31no—
296C5×C22⋊C4—61no—
297C42×C5—31no—
298C42×C5—61no—
299C42×C5—61no—
300C42×C5C22×D311yescharacteristic
301C22⋊Dic5—61no—
302#689—34no—
303#689—34no—
304#687—34no—
305#687C4×D314yescomplemented
306C4⋊Dic5—31no—
307C4⋊Dic5C22×D311yescharacteristic
308#683—21no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—21no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317#681—34no—
318C2×#168—31no—
319C2×#168—31no—
320C2×#168—62no—
321C2×#168C22×D311yescharacteristic
322C2×#168C22×D311yescharacteristic
323C2×#137—151no—
324#520—31no—
325#519—151no—
326#441—151no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—51no—
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×C5×D3—21no—
343C2×C5×D3—21no—
344C2×C5×D3C4×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—41no—
354C5×Dic3—22no—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C5×Dic3—41no—
358C5×Dic3C4×D412yes—
359C2×C3×Q8—51no—
360C2×C3×D4C22×D511yescharacteristic
361C22×C3×C4—21no—
362C2×#67—21no—
363C22×Dic3—21no—
364C22×Dic3—21no—
365D3×Q8—54no—
366D3×Q8—102no—
367#237—22no—
368#237C4×D514yes—
369C2×C4×D3—21no—
370C2×C4×D3—101no—
371C2×C4×D3C22×D511yescharacteristic
372C2×Dic6—51no—
373C2×Dic6—101no—
374C2×Dic6C22×D511yescharacteristic
375C3×SD16—54no—
376C2×C3×C8—51no—
377C2×C3×C8—51no—
378C3×C4⋊C4—51no—
379C3×C4⋊C4—101no—
380C3×C4⋊C4C22×D511yescharacteristic
381C3×C22⋊C4—21no—
382C3×C42—101no—
383C3×C42C22×D511yescharacteristic
384#217—21no—
385#216—54no—
386#214—54no—
387(C2×D3)⋊C4—101no—
388(C2×D3)⋊C4C22⋊D511yescharacteristic
389(C2×D3)⋊C4C22⋊D511yescharacteristic
390C4⋊Dic3—51no—
391C4⋊Dic3—101no—
392C4⋊Dic3C22×D511yescharacteristic
393Dic3⋊C4—21no—
394Dic3⋊C4—21no—
395Dic3⋊C4—21no—
396Dic3⋊C4—101no—
397Dic3⋊C4—101no—
398Dic3⋊C4C22⋊D511yescharacteristic
399Dic3⋊C4C22⋊D511yescharacteristic
400C4×Dic3—21no—
401C4×Dic3—21no—
402C4×Dic3—101no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3C22×D511yescharacteristic
407C2×C3⋊C8—51no—
408C2×C3⋊C8—51no—
409Dic12—54no—
410ΓL(1,𝔽25)—54no—
411D3×C8—102no—
412C23×C5—21no—
413C23×C5—31no—
414C5×Q8—32no—
415C5×Q8—61no—
416C5×D4—21no—
417C5×D4—64no—
418C5×D4C2×C4×D312yes—
419C2×C4×C5—21no—
420C2×C4×C5—31no—
421C2×C4×C5—32no—
422C2×C4×C5—32no—
423C2×C4×C5—31no—
424C2×C4×C5—31no—
425C2×C4×C5—64no—
426C2×C4×C5—61no—
427C2×C4×C5—61no—
428C2×C4×C5—81no—
429C2×C4×C5—241no—
430C2×C4×C5—241no—
431C2×C4×C5D3×D411yescharacteristic
432C2×C4×C5D3×D411yescharacteristic
433C2×C4×C5C23×D311yescharacteristic
434C2×Dic5—21no—
435C2×Dic5—21no—
436C2×Dic5—64no—
437C2×Dic5—61no—
438C2×Dic5—61no—
439Dic10—21no—
440Dic10—32no—
441Dic10—64no—
442Dic10—61no—
443Dic10C2×C4×D312yes—
444#168—21no—
445#168—32no—
446#168—61no—
447#168C2×C4×D312yes—
448C2×#41—31no—
449C22×Q8—151no—
450#137—158no—
451C2×Q16—151no—
452C2×Q16—151no—
453C2×SD16—51no—
454C2×SD16—151no—
455C2×M16—151no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—51no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—31no—
466C4×D4—61no—
467C4×D4—61no—
468C4×D4D3×D511yescharacteristic
469#117—31no—
470#117—61no—
471#117—151no—
472#117—301no—
473#117—301no—
474C2×C4⋊C4—31no—
475C2×C4⋊C4—61no—
476#107—151no—
477#107—151no—
478#106—51no—
479#106—151no—
480#103—51no—
481#103—151no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—51no—
487#102—151no—
488#97—151no—
489#97—151no—
490C4×C8—51no—
491C4×C8—151no—
492C2×C3×C5—42no—
493C2×C3×C5C2×C4×D411yescharacteristic
494C2×C3×C5#57711yescharacteristic
495C2×C3×C5#57811yescharacteristic
496C5×D3—22no—
497C23×C3—21no—
498C22×D3C2×C22⋊D511yescharacteristic
499C3×Q8—52no—
500C3×Q8—101no—
501C3×D4—21no—
502C3×D4C2×C4×D512yes—
503C2×C3×C4—21no—
504C2×C3×C4—81no—
505C2×C3×C4—101no—
506C2×C3×C4—101no—
507C2×C3×C4C2×C22⋊D511yescharacteristic
508C2×C3×C4C2×C22⋊D511yescharacteristic
509C2×C3×C4C23×D511yescharacteristic
510#67—24no—
511C2×Dic3—21no—
512C2×Dic3—24no—
513C2×Dic3—21no—
514C2×Dic3—81no—
515C2×Dic3—101no—
516C2×Dic3—101no—
517C2×Dic3C2×C22⋊D511yescharacteristic
518C2×Dic3C2×C22⋊D511yescharacteristic
519C2×Dic3C2×C22⋊D511yescharacteristic
520C4×D3—81no—
521C4×D3—104no—
522C4×D3C2×C4×D512yes—
523C4×D3#70912yes—
524Dic6—21no—
525Dic6—52no—
526Dic6—101no—
527Dic6—104no—
528Dic6C2×C4×D512yes—
529C3×C8—52no—
530C3×C8—101no—
531C3⋊C8—52no—
532C3⋊C8—101no—
533C22×C5—22no—
534C22×C5—32no—
535C22×C5—41no—
536C22×C5—41no—
537C22×C5—61no—
538C22×C5—61no—
539C22×C5C2×D3×D411yescharacteristic
540C4×C5—21no—
541C4×C5—21no—
542C4×C5—32no—
543C4×C5—41no—
544C4×C5—61no—
545C4×C5—61no—
546C4×C5—62no—
547C4×C5—121no—
548C4×C5C22×C4×D311yescharacteristic
549C4×C5D3×#4111yescharacteristic
550Dic5—22no—
551Dic5—41no—
552Dic5—62no—
553Dic5—121no—
554#41—34no—
555#41—62no—
556C2×Q8—31no—
557C2×Q8—51no—
558C2×Q8—154no—
559C2×Q8—151no—
560C2×Q8—301no—
561C2×Q8—302no—
562C2×D4—61no—
563C2×D4C2×D3×D511yescharacteristic
564C22×C4—21no—
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—301no—
570Q16—154no—
571Q16—154no—
572SD16—54no—
573SD16—154no—
574M16—154no—
575C2×C8—51no—
576C2×C8—51no—
577C2×C8—151no—
578C2×C8—151no—
579C2×C8—302no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—51no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—101no—
588C4⋊C4—151no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4C2×D3×D511yescharacteristic
593C22⋊C4—21no—
594C22⋊C4—31no—
595C22⋊C4—31no—
596C22⋊C4—61no—
597C22⋊C4—301no—
598C42—31no—
599C42—61no—
600C42—61no—
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×C3C22×C22⋊D511yescharacteristic
612C2×D3—21no—
613C2×D3—21no—
614C2×D3C4×C22⋊D512yes—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—41no—
618C3×C4—102no—
619C3×C4—201no—
620C3×C4C22×C4×D511yescharacteristic
621C3×C4C2×#70911yescharacteristic
622Dic3—22no—
623Dic3—21no—
624Dic3—21no—
625Dic3—41no—
626Dic3—102no—
627Dic3—201no—
628Dic3C4×C22⋊D512yes—
629C2×C5—42no—
630C2×C5—62no—
631C2×C5C4×D3×D411yescharacteristic
632C2×C5#576211yescharacteristic
633C2×C5#577111yescharacteristic
634C23—21no—
635C23—31no—
636Q8—32no—
637Q8—52no—
638Q8—61no—
639Q8—101no—
640Q8—152no—
641Q8—304no—
642Q8—301no—
643D4—21no—
644D4—64no—
645D4C4×D3×D512yes—
646C2×C4—21no—
647C2×C4—31no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—64no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—81no—
656C2×C4—101no—
657C2×C4—101no—
658C2×C4—241no—
659C2×C4—241no—
660C2×C4—304no—
661C2×C4—301no—
662C2×C4—301no—
663C2×C4D3×C22⋊D511yescharacteristic
664C2×C4D3×C22⋊D511yescharacteristic
665C2×C4C22×D3×D511yescharacteristic
666C8—52no—
667C8—101no—
668C8—152no—
669C8—301no—
670C2×C3—42no—
671C2×C3C2×C4×C22⋊D511yescharacteristic
672C2×C3#6617011yescharacteristic
673C2×C3#6617211yescharacteristic
674D3—22no—
675C5#7964811yescharacteristic, complemented, Sylow
676C22—22no—
677C22—32no—
678C22—41no—
679C22—41no—
680C22—61no—
681C22—61no—
682C22C2×D3×C22⋊D511yescharacteristic
683C4—21no—
684C4—21no—
685C4—32no—
686C4—41no—
687C4—61no—
688C4—62no—
689C4—61no—
690C4—102no—
691C4—121no—
692C4—201no—
693C4—302no—
694C4—601no—
695C4C2×C4×D3×D511yescharacteristic
696C4D3×#70911yescharacteristic
697C3#1061430211yescharacteristic, complemented, Sylow
698C2—42no—
699C2—62no—
700C2C4×D3×C22⋊D511yescharacteristic
701C2#1175471111yescharacteristic
702C2#1175534611yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C4×C5×D4C22
socleC22×C3×C5C22×D4
prime radicalC2×C5×#237C22
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. #11752523C2semidirect
4. #11751119C2semidirect
5. C3×C4×#687C2semidirect
6. #11749011C2semidirect
7. #11749010C2semidirect
9. D3×#3942C2semidirect
10. #11747455C2semidirect
11. #11747276C2semidirect
12. #11747266C2semidirect
13. C4×#6663C2semidirect
14. #11747089C2semidirect
15. #11746977C2semidirect
33. #91486C4semidirect
73. C4×#687D3semidirect
92. D3×Dic10C2×C4semidirect
96. #6716C2×C4semidirect
114. C3×#687C2×C4semidirect
126. #6663C2×C4semidirect
127. #6661C2×C4semidirect
128. #6650C2×C4semidirect
305. #687C4×D3semidirect
607. C3×C5#2947semidirect
675. C5#79648semidirect
697. C3#10614302semidirect

Maximal subgroups

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

subgroupindex
C5×#55462
C2×#914862
#117525232
#117511192
C3×C4×#6872
#117490112
#117490102
#117489652
D3×#39422
#117474552
#117472762
#117472662
C4×#66632
#117470892
#117469772
#106143023
#796485