Finite Group Databasebeta

← C3×#10610526 #14424826

Subgroups — C3×#10610526 #14424826

Order 1920.

1424 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4147C211yesmaximal, characteristic, complemented
2C2×C3×#4088C211yesmaximal, characteristic, complemented
3C2×C3×#4050C211yesmaximal, characteristic, complemented
4C3×#65844C211yesmaximal, characteristic, complemented
5C2×C3×C5×#103C211yesmaximal, characteristic, complemented
6C3×#65399C211yesmaximal, characteristic, complemented
7C3×#65255C211yesmaximal, characteristic, complemented
8C3×#65100C212yesmaximal, complemented
9C3×#65099C212yesmaximal, complemented
10C3×#65097C212yesmaximal, complemented
11C3×#65095C212yesmaximal, complemented
12#10610526C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C3×#4147—24no—
15C3×#4147—24no—
16C2×C3×#713—21no—
17C2×C3×#713C2212yes—
18C2×C3×Q8×D5—21no—
19C2×C3×Q8×D5C2212yes—
20C2×C3×#709—22no—
21C2×C3×#709C2211yescharacteristic
22C2×C3×#709C2211yescharacteristic
23C2×C3×#709C2211yescharacteristic
24C22×C3×C5×C8C2211yescharacteristic
25C2×C3×C5×C4⋊C4C2211yescharacteristic
26C2×C3×#689C2212yes—
27C3×#4088—24no—
28C2×C3×#688C2212yes—
29C3×#4076—22no—
30C2×C3×#681C2211yescharacteristic
31C2×C3×Dic20C2211yescharacteristic
32C3×#4050—24no—
33C2×C3×D40C2211yescharacteristic
34C2×C3×#677C2211yescharacteristic
35C2×C3×#677C2211yescharacteristic
36C3×#4043—21no—
37C3×#4043C2212yes—
38C3×#4041—21no—
39C3×#4041C2212yes—
40C3×C5×#103C2212yes—
41C3×C5×#103C2212yes—
42C3×#3952C2212yes—
43C3×#3952C2212yes—
44C3×#3942C2212yes—
45C3×#3941C2212yes—
46C3×#3013—51nomaximal, Hall
47C2×#4147C2×C311yescharacteristic, complemented
48C2×#4088C2×C311yescharacteristic, complemented
49C2×#4050C2×C311yescharacteristic, complemented
50#65844C2×C311yescharacteristic, complemented
51C2×C5×#103C2×C311yescharacteristic, complemented
52#65399C2×C311yescharacteristic, complemented
53#65255C2×C311yescharacteristic, complemented
54#65100C2×C312yescomplemented
55#65099C2×C312yescomplemented
56#65097C2×C312yescomplemented
57#65095C2×C312yescomplemented
58C2×C3×C5×Q8—21no—
59C2×C3×C5×Q8—22no—
60C2×C3×C5×Q8D414yescomplemented
61C2×C3×C5×Q8C2312yes—
62C22×C3×C4×C5—21no—
63C22×C3×C4×C5—21no—
64C22×C3×C4×C5C2311yescharacteristic
65C2×C3×C22⋊D5—21no—
66C2×C3×C22⋊D5—21no—
67C2×C3×C22⋊D5D412yes—
68C3×#713—28no—
69C3×#713—24no—
70C3×#713—24no—
71C3×Q8×D5—28no—
72C3×Q8×D5—24no—
73C3×Q8×D5—24no—
74C3×#709—216no—
75C3×#709—22no—
76C3×#709—22no—
77C3×#709—22no—
78C3×#709—22no—
79C3×#709—22no—
80C3×#709D414yescomplemented
81C2×C3×D20—22no—
82C2×C3×D20—22no—
83C2×C3×D20D411yescharacteristic
84C2×C3×D20C2311yescharacteristic
85C2×C3×D20C2311yescharacteristic
86C2×C3×C4×D5—22no—
87C2×C3×C4×D5—21no—
88C2×C3×C4×D5—22no—
89C2×C3×C4×D5—21no—
90C2×C3×C4×D5C2312yes—
91C2×C3×Dic10—22no—
92C2×C3×Dic10D411yescharacteristic
93C2×C3×Dic10C2311yescharacteristic
94C2×C3×Dic10C2311yescharacteristic
95C2×C3×C5×C8—22no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98C3×C5×C4⋊C4—21no—
99C3×C5×C4⋊C4C2312yes—
100C3×#689—24no—
101C3×#688—24no—
102C3×#685—22no—
103C3×#685—22no—
104C3×C4⋊Dic5—22no—
105C3×#681—22no—
106C2×C3×#168C2312yes—
107C3×Dic20—22no—
108C3×D40—22no—
109C3×#677—22no—
110C3×#677—22no—
111C2×C3×2−1+4—51no—
112C2×C3×#137—51no—
113C2×C3×#135—51no—
114C3×#537—51no—
115C3×#452—52no—
116C3×#451—52no—
117C3×#449—52no—
118C3×#448—52no—
119C3×#417—51no—
120C2×C3×#103D511yescharacteristic, complemented
121C3×#408—51no—
122C22×C5×Q8C22×C311yescharacteristic
123#4147—24no—
124#4147—24no—
125C2×#713—21no—
126C2×#713C22×C312yes—
127C2×Q8×D5—21no—
128C2×Q8×D5C22×C312yes—
129C2×#709—22no—
130C2×#709C22×C311yescharacteristic
131C2×#709C22×C311yescharacteristic
132C2×#709C22×C311yescharacteristic
133C22×C5×C8C22×C311yescharacteristic
134C2×C5×C4⋊C4C22×C311yescharacteristic
135C2×#689C22×C312yes—
136#4088—24no—
137C2×#688C22×C312yes—
138#4076—22no—
139C2×#681C22×C311yescharacteristic
140C2×Dic20C22×C311yescharacteristic
141#4050—24no—
142C2×D40C22×C311yescharacteristic
143C2×#677C22×C311yescharacteristic
144C2×#677C22×C311yescharacteristic
145#4043—21no—
146#4043C22×C312yes—
147#4041—21no—
148#4041C22×C312yes—
149C5×#103C22×C312yes—
150C5×#103C22×C312yes—
151#3952C22×C312yes—
152#3952C22×C312yes—
153#3942C22×C312yes—
154#3941C22×C312yes—
155#3013—51noSylow
156C23×C3×C5C2×D411yescharacteristic
157C22×C3×D5—21no—
158C22×C3×D5—21no—
159C22×C3×D5C2×D412yes—
160C3×C5×Q8—24no—
161C3×C5×Q8—22no—
162C3×C5×Q8C2×D414yes—
163C2×C3×C4×C5—24no—
164C2×C3×C4×C5—22no—
165C2×C3×C4×C5—22no—
166C2×C3×C4×C5—81no—
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2×D412yes—
169C2×C3×C4×C5C2×D412yes—
170C2×C3×C4×C5C2411yescharacteristic
171C3×C22⋊D5—24no—
172C3×C22⋊D5—24no—
173C3×C22⋊D5—42no—
174C2×C3×Dic5—21no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5C2×D412yes—
177C3×D20—28no—
178C3×D20—22no—
179C3×D20—21no—
180C3×D20—21no—
181C3×D20—21no—
182C3×D20—82no—
183C3×D20C2×D412yes—
184C3×C4×D5—28no—
185C3×C4×D5—28no—
186C3×C4×D5—24no—
187C3×C4×D5—22no—
188C3×C4×D5—22no—
189C3×C4×D5—42no—
190C3×Dic10—28no—
191C3×Dic10—22no—
192C3×Dic10—21no—
193C3×Dic10—21no—
194C3×Dic10—21no—
195C3×Dic10C2×D412yes—
196C3×C5×C8—21no—
197C3×C5×C8—21no—
198C3×#168—22no—
199C3×2−1+4—104no—
200C3×2−1+4—104no—
201C2×C3×#41—51no—
202C2×C3×#41—52no—
203C2×C3×#41—51no—
204C2×C3×#41—51no—
205C2×C3×#41—102no—
206C2×C3×#41—101no—
207C22×C3×Q8—52no—
208C22×C3×Q8—101no—
209C22×C3×Q8C2×D511yescharacteristic
210C3×#137—104no—
211C3×#135—104no—
212C2×C3×Q16—52no—
213C2×C3×Q16—51no—
214C2×C3×SD16—52no—
215C2×C3×SD16—51no—
216C2×C3×SD16—51no—
217C2×C3×D8—51no—
218C2×C3×M16—51no—
219C22×C3×C8C2×D511yescharacteristic
220C3×C22⋊Q8—52no—
221C3×C22⋊Q8—101no—
222C3×#121—52no—
223C3×#121—101no—
224C3×#121—102no—
225C2×C3×C4⋊C4C2×D511yescharacteristic
226C3×#103—52no—
227C3×#103C2×D512yes—
228C3×#103C2×D512yes—
229C3×#102—52no—
230C3×C22⋊C8—52no—
231C3×C22⋊C8—52no—
232C2×C5×Q8—21no—
233C2×C5×Q8—22no—
234C2×C5×Q8C3×D414yescomplemented
235C2×C5×Q8C23×C312yes—
236C22×C4×C5—21no—
237C22×C4×C5—21no—
238C22×C4×C5C23×C311yescharacteristic
239C2×C22⋊D5—21no—
240C2×C22⋊D5—21no—
241C2×C22⋊D5C3×D412yes—
242#713—28no—
243#713—24no—
244#713—24no—
245Q8×D5—28no—
246Q8×D5—24no—
247Q8×D5—24no—
248#709—216no—
249#709—22no—
250#709—22no—
251#709—22no—
252#709—22no—
253#709—22no—
254#709C3×D414yescomplemented
255C2×D20—22no—
256C2×D20—22no—
257C2×D20C3×D411yescharacteristic
258C2×D20C23×C311yescharacteristic
259C2×D20C23×C311yescharacteristic
260C2×C4×D5—22no—
261C2×C4×D5—21no—
262C2×C4×D5—22no—
263C2×C4×D5—21no—
264C2×C4×D5C23×C312yes—
265C2×Dic10—22no—
266C2×Dic10C3×D411yescharacteristic
267C2×Dic10C23×C311yescharacteristic
268C2×Dic10C23×C311yescharacteristic
269C2×C5×C8—22no—
270C2×C5×C8C23×C311yescharacteristic
271C2×C5×C8C23×C311yescharacteristic
272C5×C4⋊C4—21no—
273C5×C4⋊C4C23×C312yes—
274#689—24no—
275#688—24no—
276#685—22no—
277#685—22no—
278C4⋊Dic5—22no—
279#681—22no—
280C2×#168C23×C312yes—
281Dic20—22no—
282D40—22no—
283#677—22no—
284#677—22no—
285C2×2−1+4—51no—
286C2×#137—51no—
287C2×#135—51no—
288#537—51no—
289#452—52no—
290#451—52no—
291#449—52no—
292#448—52no—
293#417—51no—
294C2×#103C3×D511yescharacteristic, complemented
295#408—51no—
296C22×C3×C5—21no—
297C22×C3×C5—21no—
298C22×C3×C5#12012yes—
299C22×C3×C5C22×D411yescharacteristic
300C2×C3×D5—22no—
301C2×C3×D5—22no—
302C2×C3×D5—22no—
303C2×C3×D5—22no—
304C2×C3×D5—41no—
305C2×C3×D5—41no—
306C2×C3×D5—41no—
307C2×C3×D5—41no—
308C2×C3×D5—41no—
309C3×C4×C5—24no—
310C3×C4×C5—42no—
311C3×C4×C5#12012yes—
312C3×C4×C5C22×D411yescharacteristic
313C3×C4×C5C22×D411yescharacteristic
314C3×Dic5—22no—
315C3×Dic5—22no—
316C3×Dic5—41no—
317C3×#41—54no—
318C3×#41—1016no—
319C3×#41—104no—
320C3×#41—108no—
321C3×#41—104no—
322C3×#41—102no—
323C3×#41—102no—
324C3×#41—102no—
325C3×#41—102no—
326C3×#41—102no—
327C2×C3×Q8—21no—
328C2×C3×Q8—22no—
329C2×C3×Q8—51no—
330C2×C3×Q8—51no—
331C2×C3×Q8—51no—
332C2×C3×Q8—102no—
333C2×C3×Q8—104no—
334C2×C3×Q8—108no—
335C2×C3×Q8—104no—
336C2×C3×Q8D2014yescomplemented
337C2×C3×Q8C22×D512yes—
338C2×C3×D4—52no—
339C2×C3×D4—51no—
340C2×C3×D4—51no—
341C2×C3×D4—51no—
342C2×C3×D4—102no—
343C2×C3×D4—102no—
344C2×C3×D4—101no—
345C2×C3×D4—101no—
346C22×C3×C4—21no—
347C22×C3×C4—21no—
348C22×C3×C4—52no—
349C22×C3×C4—102no—
350C22×C3×C4—102no—
351C22×C3×C4—101no—
352C22×C3×C4—101no—
353C22×C3×C4C22×D511yescharacteristic
354C3×Q16—102no—
355C3×Q16—104no—
356C3×SD16—102no—
357C3×SD16—102no—
358C3×SD16—104no—
359C3×D8—102no—
360C3×M16—102no—
361C2×C3×C8—22no—
362C2×C3×C8—52no—
363C2×C3×C8C22×D511yescharacteristic
364C2×C3×C8C22×D511yescharacteristic
365C3×C4⋊C4—21no—
366C3×C4⋊C4—102no—
367C3×C4⋊C4C22×D512yes—
368C3×C22⋊C4—102no—
369C3×C22⋊C4—102no—
370C23×C5C2×C3×D411yescharacteristic
371C22×D5—21no—
372C22×D5—21no—
373C22×D5C2×C3×D412yes—
374C5×Q8—24no—
375C5×Q8—22no—
376C5×Q8C2×C3×D414yes—
377C2×C4×C5—24no—
378C2×C4×C5—22no—
379C2×C4×C5—22no—
380C2×C4×C5—81no—
381C2×C4×C5C2×C3×D412yes—
382C2×C4×C5C2×C3×D411yescharacteristic
383C2×C4×C5C2×C3×D412yes—
384C2×C4×C5C24×C311yescharacteristic
385C22⋊D5—24no—
386C22⋊D5—24no—
387C22⋊D5—42no—
388C2×Dic5—21no—
389C2×Dic5—21no—
390C2×Dic5C2×C3×D412yes—
391D20—28no—
392D20—22no—
393D20—21no—
394D20—21no—
395D20—21no—
396D20—82no—
397D20C2×C3×D412yes—
398C4×D5—28no—
399C4×D5—28no—
400C4×D5—24no—
401C4×D5—22no—
402C4×D5—22no—
403C4×D5—42no—
404Dic10—28no—
405Dic10—22no—
406Dic10—21no—
407Dic10—21no—
408Dic10—21no—
409Dic10C2×C3×D412yes—
410C5×C8—21no—
411C5×C8—21no—
412#168—22no—
4132−1+4—104no—
4142−1+4—104no—
415C2×#41—51no—
416C2×#41—52no—
417C2×#41—51no—
418C2×#41—51no—
419C2×#41—102no—
420C2×#41—101no—
421C22×Q8—52no—
422C22×Q8—101no—
423C22×Q8C2×C3×D511yescharacteristic
424#137—104no—
425#135—104no—
426C2×Q16—52no—
427C2×Q16—51no—
428C2×SD16—52no—
429C2×SD16—51no—
430C2×SD16—51no—
431C2×D8—51no—
432C2×M16—51no—
433C22×C8C2×C3×D511yescharacteristic
434C22⋊Q8—52no—
435C22⋊Q8—101no—
436#121—52no—
437#121—101no—
438#121—102no—
439C2×C4⋊C4C2×C3×D511yescharacteristic
440#103—52no—
441#103C2×C3×D512yes—
442#103C2×C3×D512yes—
443#102—52no—
444C22⋊C8—52no—
445C22⋊C8—52no—
446C2×C3×C5—22no—
447C2×C3×C5C2×#12011yescharacteristic
448C2×C3×C5#57711yescharacteristic
449C2×C3×C5#57811yescharacteristic
450C3×D5—42no—
451C3×D5—42no—
452C3×D5—81no—
453C23×C3—52no—
454C23×C3—101no—
455C23×C3—101no—
456C23×C3D4×D511yescharacteristic
457C3×Q8—22no—
458C3×Q8—24no—
459C3×Q8—52no—
460C3×Q8—108no—
461C3×Q8—101no—
462C3×Q8—102no—
463C3×Q8—101no—
464C3×Q8—101no—
465C3×Q8C2×D2014yes—
466C3×D4—52no—
467C3×D4—108no—
468C3×D4—104no—
469C3×D4—104no—
470C3×D4—101no—
471C3×D4—101no—
472C3×D4—101no—
473C3×D4—102no—
474C3×D4—202no—
475C3×D4—402no—
476C2×C3×C4—22no—
477C2×C3×C4—24no—
478C2×C3×C4—22no—
479C2×C3×C4—52no—
480C2×C3×C4—81no—
481C2×C3×C4—108no—
482C2×C3×C4—108no—
483C2×C3×C4—101no—
484C2×C3×C4—102no—
485C2×C3×C4—102no—
486C2×C3×C4—104no—
487C2×C3×C4—101no—
488C2×C3×C4—202no—
489C2×C3×C4C2×D2012yes—
490C2×C3×C4D4×D512yes—
491C2×C3×C4D4×D511yescharacteristic
492C2×C3×C4C23×D511yescharacteristic
493C3×C8—21no—
494C3×C8—21no—
495C3×C8—102no—
496C22×C5—21no—
497C22×C5—21no—
498C22×C5C3×#12012yes—
499C22×C5C22×C3×D411yescharacteristic
500C2×D5—22no—
501C2×D5—22no—
502C2×D5—22no—
503C2×D5—22no—
504C2×D5—41no—
505C2×D5—41no—
506C2×D5—41no—
507C2×D5—41no—
508C2×D5—41no—
509C4×C5—24no—
510C4×C5—42no—
511C4×C5C3×#12012yes—
512C4×C5C22×C3×D411yescharacteristic
513C4×C5C22×C3×D411yescharacteristic
514Dic5—22no—
515Dic5—22no—
516Dic5—41no—
517#41—54no—
518#41—1016no—
519#41—104no—
520#41—108no—
521#41—104no—
522#41—102no—
523#41—102no—
524#41—102no—
525#41—102no—
526#41—102no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—51no—
530C2×Q8—51no—
531C2×Q8—51no—
532C2×Q8—102no—
533C2×Q8—104no—
534C2×Q8—108no—
535C2×Q8—104no—
536C2×Q8C3×D2014yescomplemented
537C2×Q8C22×C3×D512yes—
538C2×D4—52no—
539C2×D4—51no—
540C2×D4—51no—
541C2×D4—51no—
542C2×D4—102no—
543C2×D4—102no—
544C2×D4—101no—
545C2×D4—101no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—52no—
549C22×C4—102no—
550C22×C4—102no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4C22×C3×D511yescharacteristic
554Q16—102no—
555Q16—104no—
556SD16—102no—
557SD16—102no—
558SD16—104no—
559D8—102no—
560M16—102no—
561C2×C8—22no—
562C2×C8—52no—
563C2×C8C22×C3×D511yescharacteristic
564C2×C8C22×C3×D511yescharacteristic
565C4⋊C4—21no—
566C4⋊C4—102no—
567C4⋊C4C22×C3×D512yes—
568C22⋊C4—102no—
569C22⋊C4—102no—
570C3×C5#301311yescharacteristic, complemented, Hall
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—102no—
574C22×C3—102no—
575C22×C3—102no—
576C22×C3—102no—
577C22×C3—201no—
578C22×C3—201no—
579C22×C3—201no—
580C22×C3—201no—
581C22×C3—201no—
582C22×C3#402812yes—
583C22×C3C2×D4×D511yescharacteristic
584C3×C4—24no—
585C3×C4—42no—
586C3×C4—102no—
587C3×C4—102no—
588C3×C4—201no—
589C3×C4#402812yes—
590C3×C4C22×D2011yescharacteristic
591C3×C4C2×D4×D511yescharacteristic
592C2×C5—22no—
593C2×C5C2×C3×#12011yescharacteristic
594C2×C5C3×#57711yescharacteristic
595C2×C5C3×#57811yescharacteristic
596D5—42no—
597D5—42no—
598D5—81no—
599C23—52no—
600C23—101no—
601C23—101no—
602C23C3×D4×D511yescharacteristic
603Q8—22no—
604Q8—24no—
605Q8—52no—
606Q8—108no—
607Q8—101no—
608Q8—102no—
609Q8—101no—
610Q8—101no—
611Q8C2×C3×D2014yes—
612D4—52no—
613D4—108no—
614D4—104no—
615D4—104no—
616D4—101no—
617D4—101no—
618D4—101no—
619D4—102no—
620D4—202no—
621D4—402no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—52no—
626C2×C4—81no—
627C2×C4—108no—
628C2×C4—108no—
629C2×C4—101no—
630C2×C4—102no—
631C2×C4—102no—
632C2×C4—104no—
633C2×C4—101no—
634C2×C4—202no—
635C2×C4C2×C3×D2012yes—
636C2×C4C3×D4×D512yes—
637C2×C4C3×D4×D511yescharacteristic
638C2×C4C23×C3×D511yescharacteristic
639C8—21no—
640C8—21no—
641C8—102no—
642C2×C3—22no—
643C2×C3—202no—
644C2×C3—202no—
645C2×C3—401no—
646C2×C3C2×#402811yescharacteristic
647C2×C3#6609611yescharacteristic
648C2×C3#6610011yescharacteristic
649C5C3×#301311yescharacteristic, complemented, Sylow
650C22—21no—
651C22—21no—
652C22—102no—
653C22—102no—
654C22—102no—
655C22—102no—
656C22—201no—
657C22—201no—
658C22—201no—
659C22—201no—
660C22—201no—
661C22C3×#402812yes—
662C22C2×C3×D4×D511yescharacteristic
663C4—24no—
664C4—42no—
665C4—102no—
666C4—102no—
667C4—201no—
668C4C3×#402812yes—
669C4C22×C3×D2011yescharacteristic
670C4C2×C3×D4×D511yescharacteristic
671C3#1061052611yescharacteristic, direct product factor, Sylow
672C2—22no—
673C2—202no—
674C2—202no—
675C2—401no—
676C2C2×C3×#402811yescharacteristic
677C2C3×#6609611yescharacteristic
678C2C3×#6610011yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC2×C3×C5×#103C2
socleC22×C3×C5C22×D4
hypercenterC2×C3×#103D5
hypocenterC5C3×#3013
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×#103

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4147C2semidirect
2. C2×C3×#4088C2semidirect
3. C2×C3×#4050C2semidirect
4. C3×#65844C2semidirect
5. C2×C3×C5×#103C2semidirect
6. C3×#65399C2semidirect
7. C3×#65255C2semidirect
8. C3×#65100C2semidirect
9. C3×#65099C2semidirect
10. C3×#65097C2semidirect
11. C3×#65095C2semidirect
12. #10610526C3direct (N × H)
47. C2×#4147C2×C3semidirect
48. C2×#4088C2×C3semidirect
49. C2×#4050C2×C3semidirect
50. #65844C2×C3semidirect
51. C2×C5×#103C2×C3semidirect
52. #65399C2×C3semidirect
53. #65255C2×C3semidirect
54. #65100C2×C3semidirect
55. #65099C2×C3semidirect
56. #65097C2×C3semidirect
57. #65095C2×C3semidirect
60. C2×C3×C5×Q8D4semidirect
80. C3×#709D4semidirect
120. C2×C3×#103D5semidirect
234. C2×C5×Q8C3×D4semidirect
254. #709C3×D4semidirect
294. C2×#103C3×D5semidirect
336. C2×C3×Q8D20semidirect
536. C2×Q8C3×D20semidirect
570. C3×C5#3013semidirect
649. C5C3×#3013semidirect
671. C3#10610526direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41472
C2×C3×#40882
C2×C3×#40502
C3×#658442
C2×C3×C5×#1032
C3×#653992
C3×#652552
C3×#651002
C3×#650992
C3×#650972
C3×#650952
#106105263
C3×#30135