Finite Group Databasebeta

← C3×#10615158 #14424802

Subgroups — C3×#10615158 #14424802

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×#4150C211yesmaximal, characteristic, complemented
2C3×C5×#537C211yesmaximal, characteristic, complemented
3C2×C3×#4097C211yesmaximal, characteristic, complemented
4C2×C3×#4096C211yesmaximal, characteristic, complemented
5C3×#65523C211yesmaximal, characteristic, complemented
6C3×#65339C212yesmaximal, complemented
7C3×#65336C212yesmaximal, complemented
8C3×#65329C212yesmaximal, complemented
9C3×#65326C212yesmaximal, complemented
10C2×C3×#3942C211yesmaximal, characteristic, complemented
11C3×#65255C211yesmaximal, characteristic, complemented
12#10615158C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×C5×#41C2211yescharacteristic
14C2×C3×C5×#41C2211yescharacteristic
15C3×#4150—24no—
16C3×#4150—24no—
17C2×C3×Q8×D5—21no—
18C2×C3×#711—22no—
19C2×C3×#711—21no—
20C2×C3×#709C2212yes—
21C2×C3×#709C2211yescharacteristic
22C22×C3×Dic10C2212yes—
23C22×C3×Dic10C2211yescharacteristic
24C3×C5×C22⋊Q8—21no—
25C3×C5×C22⋊Q8C2212yes—
26C3×C5×#121—21no—
27C3×C5×#121—22no—
28C3×C5×#121C2212yes—
29C2×C3×C5×C4⋊C4C2211yescharacteristic
30C3×#4097—24no—
31C3×#4096—24no—
32C2×C3×#689C2212yes—
33C2×C3×#689C2211yescharacteristic
34C2×C3×#688C2211yescharacteristic
35C2×C3×#687C2212yes—
36C2×C3×#687C2211yescharacteristic
37C2×C3×#686C2211yescharacteristic
38C2×C3×#681C2211yescharacteristic
39C22×C3×#168C2211yescharacteristic
40C3×C22⋊#168C2212yes—
41C3×C22⋊#168C2212yes—
42C3×#3942C2212yes—
43C3×#3942C2212yes—
44C3×#3942C2212yes—
45C3×#3941C2212yes—
46C3×#3013—51nomaximal, Hall
47C2×#4150C2×C311yescharacteristic, complemented
48C5×#537C2×C311yescharacteristic, complemented
49C2×#4097C2×C311yescharacteristic, complemented
50C2×#4096C2×C311yescharacteristic, complemented
51#65523C2×C311yescharacteristic, complemented
52#65339C2×C312yescomplemented
53#65336C2×C312yescomplemented
54#65329C2×C312yescomplemented
55#65326C2×C312yescomplemented
56C2×#3942C2×C311yescharacteristic, complemented
57#65255C2×C311yescharacteristic, complemented
58C3×C5×#41—22no—
59C3×C5×#41—22no—
60C3×C5×#41—22no—
61C3×C5×#41—22no—
62C2×C3×C5×Q8D411yescharacteristic
63C2×C3×C5×Q8C2311yescharacteristic
64C2×C3×C5×D4—21no—
65C2×C3×C5×D4—22no—
66C2×C3×C5×D4D412yes—
67C2×C3×C5×D4D411yescharacteristic
68C2×C3×C5×D4C2311yescharacteristic
69C22×C3×C4×C5—21no—
70C22×C3×C4×C5—21no—
71C22×C3×C4×C5C2312yes—
72C22×C3×C4×C5C2311yescharacteristic
73C2×C3×C22⋊D5—22no—
74C2×C3×C22⋊D5—21no—
75C22×C3×Dic5—22no—
76C22×C3×Dic5—21no—
77C3×Q8×D5—28no—
78C3×#711—216no—
79C3×#711—28no—
80C3×#709—22no—
81C3×#709—24no—
82C3×#709—24no—
83C3×#709D414yescomplemented
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—22no—
86C2×C3×C4×D5—21no—
87C2×C3×Dic10—22no—
88C2×C3×Dic10—21no—
89C2×C3×Dic10—22no—
90C2×C3×Dic10—24no—
91C2×C3×Dic10—24no—
92C2×C3×Dic10D414yescomplemented
93C2×C3×Dic10C2311yescharacteristic
94C2×C3×Dic10C2312yes—
95C3×C5×C4⋊C4—21no—
96C3×C5×C4⋊C4—22no—
97C3×C5×C4⋊C4C2312yes—
98C3×C5×C22⋊C4—22no—
99C3×C5×C22⋊C4—22no—
100C3×#689—22no—
101C3×#689—24no—
102C3×#688—22no—
103C3×#687—22no—
104C3×#687—24no—
105C3×#686—22no—
106C3×#681—22no—
107C2×C3×#168—22no—
108C2×C3×#168C2311yescharacteristic
109C2×C3×#168C2311yescharacteristic
110C2×C3×#168C2312yes—
111C2×C3×2−1+4—51no—
112C2×C3×#137—51no—
113C2×C3×#135—51no—
114C3×#537D511yescharacteristic, complemented
115C3×#452—52no—
116C3×#451—52no—
117C3×#449—52no—
118C3×#448—52no—
119C3×#417—51no—
120C2×C3×#103—51no—
121C3×#408—51no—
122C2×C5×#41C22×C311yescharacteristic
123C2×C5×#41C22×C311yescharacteristic
124#4150—24no—
125#4150—24no—
126C2×Q8×D5—21no—
127C2×#711—22no—
128C2×#711—21no—
129C2×#709C22×C312yes—
130C2×#709C22×C311yescharacteristic
131C22×Dic10C22×C312yes—
132C22×Dic10C22×C311yescharacteristic
133C5×C22⋊Q8—21no—
134C5×C22⋊Q8C22×C312yes—
135C5×#121—21no—
136C5×#121—22no—
137C5×#121C22×C312yes—
138C2×C5×C4⋊C4C22×C311yescharacteristic
139#4097—24no—
140#4096—24no—
141C2×#689C22×C312yes—
142C2×#689C22×C311yescharacteristic
143C2×#688C22×C311yescharacteristic
144C2×#687C22×C312yes—
145C2×#687C22×C311yescharacteristic
146C2×#686C22×C311yescharacteristic
147C2×#681C22×C311yescharacteristic
148C22×#168C22×C311yescharacteristic
149C22⋊#168C22×C312yes—
150C22⋊#168C22×C312yes—
151#3942C22×C312yes—
152#3942C22×C312yes—
153#3942C22×C312yes—
154#3941C22×C312yes—
155#3013—51noSylow
156C23×C3×C5—21no—
157C23×C3×C5C2×D412yes—
158C23×C3×C5C2×D411yescharacteristic
159C22×C3×D5—21no—
160C3×C5×Q8—22no—
161C3×C5×Q8—21no—
162C3×C5×Q8—21no—
163C3×C5×D4—24no—
164C3×C5×D4—22no—
165C3×C5×D4—21no—
166C3×C5×D4—21no—
167C3×C5×D4—42no—
168C3×C5×D4—82no—
169C2×C3×C4×C5—22no—
170C2×C3×C4×C5—22no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—21no—
173C2×C3×C4×C5—42no—
174C2×C3×C4×C5—81no—
175C2×C3×C4×C5C2×D412yes—
176C2×C3×C4×C5C2×D411yescharacteristic
177C2×C3×C4×C5C2×D412yes—
178C2×C3×C4×C5C2×D412yes—
179C2×C3×C4×C5C2411yescharacteristic
180C3×C22⋊D5—28no—
181C3×C22⋊D5—24no—
182C2×C3×Dic5—28no—
183C2×C3×Dic5—24no—
184C2×C3×Dic5—21no—
185C2×C3×Dic5—22no—
186C3×D20—21no—
187C3×D20C2×D412yes—
188C3×C4×D5—28no—
189C3×C4×D5—24no—
190C3×Dic10—28no—
191C3×Dic10—24no—
192C3×Dic10—22no—
193C3×Dic10—21no—
194C3×Dic10C2×D412yes—
195C3×Dic10C2×D414yes—
196C3×#168—21no—
197C3×#168—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—101no—
204C2×C3×#41—102no—
205C2×C3×#41C2×D511yescharacteristic
206C2×C3×#41C2×D511yescharacteristic
207C22×C3×Q8—51no—
208C22×C3×Q8—52no—
209C22×C3×Q8—101no—
210C3×#137—104no—
211C3×#135—104no—
212C2×C3×Q16—51no—
213C2×C3×Q16—52no—
214C2×C3×SD16—51no—
215C2×C3×SD16—51no—
216C2×C3×SD16—52no—
217C2×C3×D8—51no—
218C2×C3×M16—51no—
219C22×C3×C8—51no—
220C3×C22⋊Q8—21no—
221C3×C22⋊Q8C2×D512yes—
222C3×#121—21no—
223C3×#121—22no—
224C3×#121C2×D512yes—
225C2×C3×C4⋊C4C2×D511yescharacteristic
226C3×#103—52no—
227C3×#103—52no—
228C3×#103—52no—
229C3×#102—52no—
230C3×C22⋊C8—52no—
231C3×C22⋊C8—52no—
232C5×#41—22no—
233C5×#41—22no—
234C5×#41—22no—
235C5×#41—22no—
236C2×C5×Q8C3×D411yescharacteristic
237C2×C5×Q8C23×C311yescharacteristic
238C2×C5×D4—21no—
239C2×C5×D4—22no—
240C2×C5×D4C3×D412yes—
241C2×C5×D4C3×D411yescharacteristic
242C2×C5×D4C23×C311yescharacteristic
243C22×C4×C5—21no—
244C22×C4×C5—21no—
245C22×C4×C5C23×C312yes—
246C22×C4×C5C23×C311yescharacteristic
247C2×C22⋊D5—22no—
248C2×C22⋊D5—21no—
249C22×Dic5—22no—
250C22×Dic5—21no—
251Q8×D5—28no—
252#711—216no—
253#711—28no—
254#709—22no—
255#709—24no—
256#709—24no—
257#709C3×D414yescomplemented
258C2×D20C23×C311yescharacteristic
259C2×C4×D5—22no—
260C2×C4×D5—21no—
261C2×Dic10—22no—
262C2×Dic10—21no—
263C2×Dic10—22no—
264C2×Dic10—24no—
265C2×Dic10—24no—
266C2×Dic10C3×D414yescomplemented
267C2×Dic10C23×C311yescharacteristic
268C2×Dic10C23×C312yes—
269C5×C4⋊C4—21no—
270C5×C4⋊C4—22no—
271C5×C4⋊C4C23×C312yes—
272C5×C22⋊C4—22no—
273C5×C22⋊C4—22no—
274#689—22no—
275#689—24no—
276#688—22no—
277#687—22no—
278#687—24no—
279#686—22no—
280#681—22no—
281C2×#168—22no—
282C2×#168C23×C312yes—
283C2×#168C23×C311yescharacteristic
284C2×#168C23×C311yescharacteristic
285C2×2−1+4—51no—
286C2×#137—51no—
287C2×#135—51no—
288#537C3×D511yescharacteristic, complemented
289#452—52no—
290#451—52no—
291#449—52no—
292#448—52no—
293#417—51no—
294C2×#103—51no—
295#408—51no—
296C22×C3×C5—21no—
297C22×C3×C5—21no—
298C22×C3×C5—22no—
299C22×C3×C5—22no—
300C22×C3×C5—22no—
301C22×C3×C5—41no—
302C22×C3×C5—41no—
303C22×C3×C5—41no—
304C22×C3×C5#12012yes—
305C22×C3×C5C22×D411yescharacteristic
306C2×C3×D5—22no—
307C2×C3×D5—41no—
308C2×C3×D5—41no—
309C3×C4×C5—22no—
310C3×C4×C5—41no—
311C3×C4×C5—42no—
312C3×C4×C5#12012yes—
313C3×C4×C5C22×D411yescharacteristic
314C3×C4×C5C22×D411yescharacteristic
315C3×Dic5—22no—
316C3×Dic5—24no—
317C3×#41—22no—
318C3×#41—22no—
319C3×#41—22no—
320C3×#41—22no—
321C3×#41—54no—
322C3×#41—104no—
323C3×#41—104no—
324C3×#41—1016no—
325C3×#41—108no—
326C3×#41—102no—
327C2×C3×Q8—54no—
328C2×C3×Q8—52no—
329C2×C3×Q8—51no—
330C2×C3×Q8—104no—
331C2×C3×Q8—104no—
332C2×C3×Q8—108no—
333C2×C3×Q8—102no—
334C2×C3×Q8—102no—
335C2×C3×Q8—101no—
336C2×C3×Q8C22⋊D511yescharacteristic
337C2×C3×Q8C22×D511yescharacteristic
338C2×C3×D4—21no—
339C2×C3×D4—22no—
340C2×C3×D4—51no—
341C2×C3×D4—102no—
342C2×C3×D4—101no—
343C2×C3×D4C22⋊D512yes—
344C2×C3×D4C22⋊D511yescharacteristic
345C2×C3×D4C22×D511yescharacteristic
346C22×C3×C4—21no—
347C22×C3×C4—21no—
348C22×C3×C4—102no—
349C22×C3×C4—101no—
350C22×C3×C4—102no—
351C22×C3×C4—101no—
352C22×C3×C4C22×D512yes—
353C22×C3×C4C22×D511yescharacteristic
354C3×Q16—102no—
355C3×Q16—104no—
356C3×SD16—102no—
357C3×SD16—104no—
358C3×SD16—102no—
359C3×D8—102no—
360C3×M16—102no—
361C2×C3×C8—52no—
362C2×C3×C8—51no—
363C2×C3×C8—51no—
364C2×C3×C8—102no—
365C3×C4⋊C4—21no—
366C3×C4⋊C4—22no—
367C3×C4⋊C4C22×D512yes—
368C3×C22⋊C4—22no—
369C3×C22⋊C4—22no—
370C23×C5—21no—
371C23×C5C2×C3×D412yes—
372C23×C5C2×C3×D411yescharacteristic
373C22×D5—21no—
374C5×Q8—22no—
375C5×Q8—21no—
376C5×Q8—21no—
377C5×D4—24no—
378C5×D4—22no—
379C5×D4—21no—
380C5×D4—21no—
381C5×D4—42no—
382C5×D4—82no—
383C2×C4×C5—22no—
384C2×C4×C5—22no—
385C2×C4×C5—22no—
386C2×C4×C5—21no—
387C2×C4×C5—42no—
388C2×C4×C5—81no—
389C2×C4×C5C2×C3×D412yes—
390C2×C4×C5C2×C3×D412yes—
391C2×C4×C5C2×C3×D412yes—
392C2×C4×C5C2×C3×D411yescharacteristic
393C2×C4×C5C24×C311yescharacteristic
394C22⋊D5—28no—
395C22⋊D5—24no—
396C2×Dic5—28no—
397C2×Dic5—24no—
398C2×Dic5—21no—
399C2×Dic5—22no—
400D20—21no—
401D20C2×C3×D412yes—
402C4×D5—28no—
403C4×D5—24no—
404Dic10—28no—
405Dic10—24no—
406Dic10—22no—
407Dic10—21no—
408Dic10C2×C3×D412yes—
409Dic10C2×C3×D414yes—
410#168—21no—
411#168—21no—
412#168—22no—
4132−1+4—104no—
4142−1+4—104no—
415C2×#41—51no—
416C2×#41—52no—
417C2×#41—101no—
418C2×#41—102no—
419C2×#41C2×C3×D511yescharacteristic
420C2×#41C2×C3×D511yescharacteristic
421C22×Q8—51no—
422C22×Q8—52no—
423C22×Q8—101no—
424#137—104no—
425#135—104no—
426C2×Q16—51no—
427C2×Q16—52no—
428C2×SD16—51no—
429C2×SD16—51no—
430C2×SD16—52no—
431C2×D8—51no—
432C2×M16—51no—
433C22×C8—51no—
434C22⋊Q8—21no—
435C22⋊Q8C2×C3×D512yes—
436#121—21no—
437#121—22no—
438#121C2×C3×D512yes—
439C2×C4⋊C4C2×C3×D511yescharacteristic
440#103—52no—
441#103—52no—
442#103—52no—
443#102—52no—
444C22⋊C8—52no—
445C22⋊C8—52no—
446C2×C3×C5—22no—
447C2×C3×C5—42no—
448C2×C3×C5—81no—
449C2×C3×C5C2×#12011yescharacteristic
450C2×C3×C5#57711yescharacteristic
451C2×C3×C5#57811yescharacteristic
452C3×D5—42no—
453C23×C3—21no—
454C23×C3—101no—
455C23×C3C2×C22⋊D512yes—
456C23×C3C2×C22⋊D511yescharacteristic
457C3×Q8—22no—
458C3×Q8—21no—
459C3×Q8—21no—
460C3×Q8—54no—
461C3×Q8—52no—
462C3×Q8—108no—
463C3×Q8—102no—
464C3×Q8—101no—
465C3×Q8—104no—
466C3×D4—24no—
467C3×D4—21no—
468C3×D4—21no—
469C3×D4—22no—
470C3×D4—42no—
471C3×D4—52no—
472C3×D4—82no—
473C3×D4—108no—
474C3×D4—104no—
475C3×D4—101no—
476C2×C3×C4—22no—
477C2×C3×C4—22no—
478C2×C3×C4—22no—
479C2×C3×C4—21no—
480C2×C3×C4—42no—
481C2×C3×C4—81no—
482C2×C3×C4—108no—
483C2×C3×C4—108no—
484C2×C3×C4—102no—
485C2×C3×C4—101no—
486C2×C3×C4—104no—
487C2×C3×C4—104no—
488C2×C3×C4D4×D512yes—
489C2×C3×C4D4×D512yes—
490C2×C3×C4C2×C22⋊D512yes—
491C2×C3×C4C2×C22⋊D511yescharacteristic
492C2×C3×C4C23×D511yescharacteristic
493C3×C8—101no—
494C3×C8—101no—
495C3×C8—102no—
496C22×C5—21no—
497C22×C5—21no—
498C22×C5—22no—
499C22×C5—22no—
500C22×C5—22no—
501C22×C5—41no—
502C22×C5—41no—
503C22×C5—41no—
504C22×C5C3×#12012yes—
505C22×C5C22×C3×D411yescharacteristic
506C2×D5—22no—
507C2×D5—41no—
508C2×D5—41no—
509C4×C5—22no—
510C4×C5—42no—
511C4×C5—41no—
512C4×C5C3×#12012yes—
513C4×C5C22×C3×D411yescharacteristic
514C4×C5C22×C3×D411yescharacteristic
515Dic5—22no—
516Dic5—24no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—22no—
521#41—54no—
522#41—104no—
523#41—104no—
524#41—1016no—
525#41—108no—
526#41—102no—
527C2×Q8—54no—
528C2×Q8—52no—
529C2×Q8—51no—
530C2×Q8—104no—
531C2×Q8—104no—
532C2×Q8—108no—
533C2×Q8—102no—
534C2×Q8—102no—
535C2×Q8—101no—
536C2×Q8C3×C22⋊D511yescharacteristic
537C2×Q8C22×C3×D511yescharacteristic
538C2×D4—21no—
539C2×D4—22no—
540C2×D4—51no—
541C2×D4—102no—
542C2×D4—101no—
543C2×D4C3×C22⋊D512yes—
544C2×D4C3×C22⋊D511yescharacteristic
545C2×D4C22×C3×D511yescharacteristic
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—102no—
549C22×C4—101no—
550C22×C4—102no—
551C22×C4—101no—
552C22×C4C22×C3×D512yes—
553C22×C4C22×C3×D511yescharacteristic
554Q16—102no—
555Q16—104no—
556SD16—102no—
557SD16—104no—
558SD16—102no—
559D8—102no—
560M16—102no—
561C2×C8—52no—
562C2×C8—51no—
563C2×C8—51no—
564C2×C8—102no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4C22×C3×D512yes—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C3×C5#301311yescharacteristic, complemented, Hall
571C22×C3—21no—
572C22×C3—21no—
573C22×C3—22no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—102no—
580C22×C3—201no—
581C22×C3—201no—
582C22×C3#408312yes—
583C22×C3C22×C22⋊D511yescharacteristic
584C3×C4—22no—
585C3×C4—41no—
586C3×C4—42no—
587C3×C4—104no—
588C3×C4—102no—
589C3×C4#408312yes—
590C3×C4C2×D4×D511yescharacteristic
591C3×C4C2×D4×D511yescharacteristic
592C2×C5—22no—
593C2×C5—42no—
594C2×C5—81no—
595C2×C5C2×C3×#12011yescharacteristic
596C2×C5C3×#57711yescharacteristic
597C2×C5C3×#57811yescharacteristic
598D5—42no—
599C23—21no—
600C23—101no—
601C23C2×C3×C22⋊D512yes—
602C23C2×C3×C22⋊D511yescharacteristic
603Q8—22no—
604Q8—21no—
605Q8—21no—
606Q8—54no—
607Q8—52no—
608Q8—108no—
609Q8—104no—
610Q8—102no—
611Q8—101no—
612D4—24no—
613D4—22no—
614D4—21no—
615D4—21no—
616D4—42no—
617D4—52no—
618D4—82no—
619D4—108no—
620D4—104no—
621D4—101no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—42no—
627C2×C4—81no—
628C2×C4—108no—
629C2×C4—108no—
630C2×C4—104no—
631C2×C4—102no—
632C2×C4—101no—
633C2×C4—104no—
634C2×C4C3×D4×D512yes—
635C2×C4C3×D4×D512yes—
636C2×C4C2×C3×C22⋊D512yes—
637C2×C4C2×C3×C22⋊D511yescharacteristic
638C2×C4C23×C3×D511yescharacteristic
639C8—101no—
640C8—101no—
641C8—102no—
642C2×C3—22no—
643C2×C3—42no—
644C2×C3—81no—
645C2×C3—202no—
646C2×C3C2×#408311yescharacteristic
647C2×C3#6617011yescharacteristic
648C2×C3#6617211yescharacteristic
649C5C3×#301311yescharacteristic, complemented, Sylow
650C22—21no—
651C22—21no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—102no—
659C22—201no—
660C22—201no—
661C22C3×#408312yes—
662C22C22×C3×C22⋊D511yescharacteristic
663C4—22no—
664C4—41no—
665C4—42no—
666C4—104no—
667C4—102no—
668C4C3×#408312yes—
669C4C2×C3×D4×D511yescharacteristic
670C4C2×C3×D4×D511yescharacteristic
671C3#1061515811yescharacteristic, direct product factor, Sylow
672C2—22no—
673C2—42no—
674C2—81no—
675C2—202no—
676C2C2×C3×#408311yescharacteristic
677C2C3×#6617011yescharacteristic
678C2C3×#6617211yescharacteristic
subgroupG/H
centerC22×C3C22×C22⋊D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C5×#537C2
socleC22×C3×C5C22×D4
hypercenterC3×#537D5
hypocenterC5C3×#3013
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C2×C3×#41 ◁ C3×#537

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4150C2semidirect
2. C3×C5×#537C2semidirect
3. C2×C3×#4097C2semidirect
4. C2×C3×#4096C2semidirect
5. C3×#65523C2semidirect
6. C3×#65339C2semidirect
7. C3×#65336C2semidirect
8. C3×#65329C2semidirect
9. C3×#65326C2semidirect
10. C2×C3×#3942C2semidirect
11. C3×#65255C2semidirect
12. #10615158C3direct (N × H)
47. C2×#4150C2×C3semidirect
48. C5×#537C2×C3semidirect
49. C2×#4097C2×C3semidirect
50. C2×#4096C2×C3semidirect
51. #65523C2×C3semidirect
52. #65339C2×C3semidirect
53. #65336C2×C3semidirect
54. #65329C2×C3semidirect
55. #65326C2×C3semidirect
56. C2×#3942C2×C3semidirect
57. #65255C2×C3semidirect
83. C3×#709D4semidirect
92. C2×C3×Dic10D4semidirect
114. C3×#537D5semidirect
257. #709C3×D4semidirect
266. C2×Dic10C3×D4semidirect
288. #537C3×D5semidirect
570. C3×C5#3013semidirect
649. C5C3×#3013semidirect
671. C3#10615158direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#41502
C3×C5×#5372
C2×C3×#40972
C2×C3×#40962
C3×#655232
C3×#653392
C3×#653362
C3×#653292
C3×#653262
C2×C3×#39422
C3×#652552
#106151583
C3×#30135