Finite Group Databasebeta

← C2×C3×#65115 #14425138

Subgroups — C2×C3×#65115 #14425138

Order 1920.

1416 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
1C2×C3×#4150C211yesmaximal, characteristic
2C2×C3×#4097C211yesmaximal, characteristic, complemented
3C2×C3×#4055C211yesmaximal, characteristic, complemented
4C2×C3×#4015C211yesmaximal, characteristic, complemented
5C2×C3×C5×#104C211yesmaximal, characteristic, complemented
6C2×C3×#3956C211yesmaximal, characteristic, complemented
7C2×C3×#3937C211yesmaximal, characteristic, complemented
8C3×#65115C218yesmaximal, direct product factor
9C2×#65115C311yesmaximal, characteristic, direct product factor, Hall
10C2×C3×C5×#41C2211yescharacteristic
11C3×#4150—22no—
12C3×#4150—22no—
13C3×#4150—22no—
14C3×#4150C2214yes—
15C2×C3×Q8×D5—21no—
16C2×C3×#711—21no—
17C2×C3×#711—22no—
18C2×C3×#709—21no—
19C2×C3×#709C2211yescharacteristic
20C22×C3×Dic10—21no—
21C22×C3×Dic10C2211yescharacteristic
22C22×C3×Dic10C2211yescharacteristic
23C2×C3×C5×M16C2211yescharacteristic
24C2×C3×C42×C5C2211yescharacteristic
25C3×#4097—22no—
26C3×#4097C2214yescomplemented
27C2×C3×#689—21no—
28C2×C3×#687—21no—
29C2×C3×C4⋊Dic5—22no—
30C2×C3×#681C2211yescharacteristic
31C3×#4055—22no—
32C3×#4055C2214yescomplemented
33C2×C3×Dic20—21no—
34C2×C3×#677—21no—
35C3×#4015—22no—
36C3×#4015C2214yescomplemented
37C3×C5×#104C2214yescomplemented
38C3×#3956C2214yescomplemented
39C3×#3937C2214yescomplemented
40C2×C3×#456—51nomaximal, Hall
41C2×#4150C2×C311yescharacteristic
42C2×#4097C2×C311yescharacteristic, complemented
43C2×#4055C2×C311yescharacteristic, complemented
44C2×#4015C2×C311yescharacteristic, complemented
45C2×C5×#104C2×C311yescharacteristic, complemented
46C2×#3956C2×C311yescharacteristic, complemented
47C2×#3937C2×C311yescharacteristic, complemented
48#65115C2×C318yesdirect product factor
49C3×C5×#41—21no—
50C3×C5×#41—21no—
51C3×C5×#41D412yes—
52C3×C5×#41C2312yes—
53C2×C3×C5×Q8D411yescharacteristic
54C2×C3×C5×D4—21no—
55C2×C3×C5×D4D411yescharacteristic
56C22×C3×C4×C5—21no—
57C22×C3×C4×C5—21no—
58C22×C3×C4×C5C2311yescharacteristic
59C2×C3×C22⋊D5—22no—
60C2×C3×C22⋊D5—21no—
61C22×C3×Dic5—22no—
62C22×C3×Dic5—21no—
63C22×C3×Dic5D412yes—
64C3×Q8×D5—24no—
65C3×Q8×D5—24no—
66C3×#711—28no—
67C3×#711—24no—
68C3×#711—24no—
69C3×#711—28no—
70C3×#709—24no—
71C3×#709—21no—
72C3×#709—21no—
73C3×#709—24no—
74C3×#709D412yes—
75C3×#709C2312yes—
76C2×C3×D20D411yescharacteristic
77C2×C3×C4×D5—22no—
78C2×C3×C4×D5—21no—
79C2×C3×Dic10—22no—
80C2×C3×Dic10—24no—
81C2×C3×Dic10—21no—
82C2×C3×Dic10—21no—
83C2×C3×Dic10—21no—
84C2×C3×Dic10—21no—
85C2×C3×Dic10—24no—
86C2×C3×Dic10—21no—
87C2×C3×Dic10—21no—
88C2×C3×Dic10—21no—
89C2×C3×Dic10—21no—
90C2×C3×Dic10—21no—
91C2×C3×Dic10D412yes—
92C2×C3×Dic10D411yescharacteristic
93C2×C3×Dic10C2312yes—
94C2×C3×Dic10C2312yes—
95C3×C5×M16—21no—
96C3×C5×M16C2312yes—
97C2×C3×C5×C8—21no—
98C3×C42×C5—21no—
99C3×C42×C5C2312yes—
100C3×#689—24no—
101C3×#687—24no—
102C3×C4⋊Dic5—28no—
103C3×#681—21no—
104C3×#681C2312yes—
105C2×C3×#168—21no—
106C3×Dic20—24no—
107C3×#677—24no—
108C2×C3×2−1+4—51no—
109C2×C3×#137—51no—
110C2×C3×#137—51no—
111C2×C3×C4⋊Q8—51no—
112C3×#456—58no—
113C2×C3×#104—51no—
114C2×C3×#104D511yescharacteristic, complemented
115C2×C3×#101—51no—
116C2×C5×#41C22×C311yescharacteristic
117#4150—22no—
118#4150—22no—
119#4150—22no—
120#4150C22×C314yes—
121C2×Q8×D5—21no—
122C2×#711—21no—
123C2×#711—22no—
124C2×#709—21no—
125C2×#709C22×C311yescharacteristic
126C22×Dic10—21no—
127C22×Dic10C22×C311yescharacteristic
128C22×Dic10C22×C311yescharacteristic
129C2×C5×M16C22×C311yescharacteristic
130C2×C42×C5C22×C311yescharacteristic
131#4097—22no—
132#4097C22×C314yescomplemented
133C2×#689—21no—
134C2×#687—21no—
135C2×C4⋊Dic5—22no—
136C2×#681C22×C311yescharacteristic
137#4055—22no—
138#4055C22×C314yescomplemented
139C2×Dic20—21no—
140C2×#677—21no—
141#4015—22no—
142#4015C22×C314yescomplemented
143C5×#104C22×C314yescomplemented
144#3956C22×C314yescomplemented
145#3937C22×C314yescomplemented
146C2×#456—51noSylow
147C23×C3×C5—21no—
148C23×C3×C5C2×D411yescharacteristic
149C22×C3×D5—21no—
150C3×C5×Q8—21no—
151C3×C5×Q8C2×D412yes—
152C3×C5×D4—22no—
153C3×C5×D4—22no—
154C3×C5×D4—21no—
155C3×C5×D4C2×D412yes—
156C2×C3×C4×C5—24no—
157C2×C3×C4×C5—21no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—22no—
160C2×C3×C4×C5—22no—
161C2×C3×C4×C5C2×D411yescharacteristic
162C2×C3×C4×C5C2×D411yescharacteristic
163C2×C3×C4×C5C2×D411yescharacteristic
164C2×C3×C4×C5C2×D411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2411yescharacteristic
167C3×C22⋊D5—28no—
168C3×C22⋊D5—22no—
169C3×C22⋊D5—22no—
170C2×C3×Dic5—28no—
171C2×C3×Dic5—22no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—41no—
176C2×C3×Dic5—41no—
177C2×C3×Dic5C2×D414yes—
178C3×D20—21no—
179C3×D20C2×D412yes—
180C3×C4×D5—28no—
181C3×C4×D5—22no—
182C3×C4×D5—22no—
183C3×Dic10—28no—
184C3×Dic10—22no—
185C3×Dic10—21no—
186C3×Dic10—22no—
187C3×Dic10—22no—
188C3×Dic10—22no—
189C3×Dic10—22no—
190C3×Dic10—22no—
191C3×Dic10—41no—
192C3×Dic10—41no—
193C3×Dic10C2×D412yes—
194C3×C5×C8—22no—
195C3×#168—22no—
196C3×2−1+4—54no—
197C3×2−1+4—102no—
198C3×2−1+4—102no—
199C3×2−1+4—102no—
200C2×C3×#41—51no—
201C2×C3×#41—101no—
202C2×C3×#41—102no—
203C2×C3×#41—101no—
204C2×C3×#41C2×D511yescharacteristic
205C22×C3×Q8—51no—
206C22×C3×Q8—51no—
207C22×C3×Q8—101no—
208C22×C3×Q8—101no—
209C3×#137—54no—
210C3×#137—54no—
211C3×#137—102no—
212C3×#137—102no—
213C2×C3×Q16—101no—
214C2×C3×Q16—101no—
215C2×C3×SD16—101no—
216C2×C3×SD16—101no—
217C2×C3×M16—51no—
218C2×C3×M16C2×D511yescharacteristic
219C3×C4⋊Q8—54no—
220C3×C4⋊Q8—102no—
221C2×C3×C4⋊C4—102no—
222C2×C3×C42C2×D511yescharacteristic
223C3×#104—54no—
224C3×#104C2×D514yescomplemented
225C3×#101—54no—
226C5×#41—21no—
227C5×#41—21no—
228C5×#41C3×D412yes—
229C5×#41C23×C312yes—
230C2×C5×Q8C3×D411yescharacteristic
231C2×C5×D4—21no—
232C2×C5×D4C3×D411yescharacteristic
233C22×C4×C5—21no—
234C22×C4×C5—21no—
235C22×C4×C5C23×C311yescharacteristic
236C2×C22⋊D5—22no—
237C2×C22⋊D5—21no—
238C22×Dic5—22no—
239C22×Dic5—21no—
240C22×Dic5C3×D412yes—
241Q8×D5—24no—
242Q8×D5—24no—
243#711—28no—
244#711—24no—
245#711—24no—
246#711—28no—
247#709—24no—
248#709—21no—
249#709—21no—
250#709—24no—
251#709C3×D412yes—
252#709C23×C312yes—
253C2×D20C3×D411yescharacteristic
254C2×C4×D5—22no—
255C2×C4×D5—21no—
256C2×Dic10—22no—
257C2×Dic10—24no—
258C2×Dic10—21no—
259C2×Dic10—21no—
260C2×Dic10—21no—
261C2×Dic10—21no—
262C2×Dic10—24no—
263C2×Dic10—21no—
264C2×Dic10—21no—
265C2×Dic10—21no—
266C2×Dic10—21no—
267C2×Dic10—21no—
268C2×Dic10C3×D412yes—
269C2×Dic10C3×D411yescharacteristic
270C2×Dic10C23×C312yes—
271C2×Dic10C23×C312yes—
272C5×M16—21no—
273C5×M16C23×C312yes—
274C2×C5×C8—21no—
275C42×C5—21no—
276C42×C5C23×C312yes—
277#689—24no—
278#687—24no—
279C4⋊Dic5—28no—
280#681—21no—
281#681C23×C312yes—
282C2×#168—21no—
283Dic20—24no—
284#677—24no—
285C2×2−1+4—51no—
286C2×#137—51no—
287C2×#137—51no—
288C2×C4⋊Q8—51no—
289#456—58no—
290C2×#104—51no—
291C2×#104C3×D511yescharacteristic, complemented
292C2×#101—51no—
293C22×C3×C5—22no—
294C22×C3×C5—22no—
295C22×C3×C5—42no—
296C22×C3×C5#12011yescharacteristic
297C22×C3×C5#12011yescharacteristic
298C22×C3×C5C22×D411yescharacteristic
299C2×C3×D5—22no—
300C2×C3×D5—42no—
301C3×C4×C5—24no—
302C3×C4×C5—22no—
303C3×C4×C5#12011yescharacteristic
304C3×C4×C5#12011yescharacteristic
305C3×C4×C5C22×D411yescharacteristic
306C3×C4×C5C22×D411yescharacteristic
307C3×Dic5—24no—
308C3×Dic5—22no—
309C3×Dic5—42no—
310C3×#41—21no—
311C3×#41—21no—
312C3×#41—52no—
313C3×#41—52no—
314C3×#41—104no—
315C3×#41—104no—
316C3×#41—108no—
317C3×#41—108no—
318C3×#41—104no—
319C3×#41—104no—
320C3×#41—101no—
321C3×#41—101no—
322C3×#41D2012yes—
323C3×#41C22×D512yes—
324C2×C3×Q8—52no—
325C2×C3×Q8—52no—
326C2×C3×Q8—51no—
327C2×C3×Q8—52no—
328C2×C3×Q8—104no—
329C2×C3×Q8—102no—
330C2×C3×Q8—104no—
331C2×C3×Q8—104no—
332C2×C3×Q8—104no—
333C2×C3×Q8—101no—
334C2×C3×Q8—101no—
335C2×C3×Q8—101no—
336C2×C3×Q8—101no—
337C2×C3×Q8—101no—
338C2×C3×Q8—101no—
339C2×C3×Q8—101no—
340C2×C3×Q8—101no—
341C2×C3×Q8—101no—
342C2×C3×Q8D2011yescharacteristic
343C2×C3×D4—21no—
344C2×C3×D4—51no—
345C2×C3×D4—102no—
346C2×C3×D4—101no—
347C2×C3×D4D2011yescharacteristic
348C22×C3×C4—21no—
349C22×C3×C4—21no—
350C22×C3×C4—52no—
351C22×C3×C4—102no—
352C22×C3×C4—102no—
353C22×C3×C4—101no—
354C22×C3×C4—101no—
355C22×C3×C4C22×D511yescharacteristic
356C3×Q16—104no—
357C3×Q16—104no—
358C3×SD16—104no—
359C3×SD16—104no—
360C3×M16—21no—
361C3×M16—52no—
362C3×M16—101no—
363C3×M16C22×D512yes—
364C2×C3×C8—21no—
365C2×C3×C8—101no—
366C3×C4⋊C4—108no—
367C3×C42—21no—
368C3×C42C22×D512yes—
369C23×C5—21no—
370C23×C5C2×C3×D411yescharacteristic
371C22×D5—21no—
372C5×Q8—21no—
373C5×Q8C2×C3×D412yes—
374C5×D4—22no—
375C5×D4—22no—
376C5×D4—21no—
377C5×D4C2×C3×D412yes—
378C2×C4×C5—24no—
379C2×C4×C5—21no—
380C2×C4×C5—22no—
381C2×C4×C5—22no—
382C2×C4×C5—22no—
383C2×C4×C5C2×C3×D411yescharacteristic
384C2×C4×C5C2×C3×D411yescharacteristic
385C2×C4×C5C2×C3×D411yescharacteristic
386C2×C4×C5C2×C3×D411yescharacteristic
387C2×C4×C5C2×C3×D411yescharacteristic
388C2×C4×C5C24×C311yescharacteristic
389C22⋊D5—28no—
390C22⋊D5—22no—
391C22⋊D5—22no—
392C2×Dic5—28no—
393C2×Dic5—22no—
394C2×Dic5—21no—
395C2×Dic5—22no—
396C2×Dic5—22no—
397C2×Dic5—41no—
398C2×Dic5—41no—
399C2×Dic5C2×C3×D414yes—
400D20—21no—
401D20C2×C3×D412yes—
402C4×D5—28no—
403C4×D5—22no—
404C4×D5—22no—
405Dic10—28no—
406Dic10—22no—
407Dic10—21no—
408Dic10—22no—
409Dic10—22no—
410Dic10—22no—
411Dic10—22no—
412Dic10—22no—
413Dic10—41no—
414Dic10—41no—
415Dic10C2×C3×D412yes—
416C5×C8—22no—
417#168—22no—
4182−1+4—54no—
4192−1+4—102no—
4202−1+4—102no—
4212−1+4—102no—
422C2×#41—51no—
423C2×#41—101no—
424C2×#41—102no—
425C2×#41—101no—
426C2×#41C2×C3×D511yescharacteristic
427C22×Q8—51no—
428C22×Q8—51no—
429C22×Q8—101no—
430C22×Q8—101no—
431#137—54no—
432#137—54no—
433#137—102no—
434#137—102no—
435C2×Q16—101no—
436C2×Q16—101no—
437C2×SD16—101no—
438C2×SD16—101no—
439C2×M16—51no—
440C2×M16C2×C3×D511yescharacteristic
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443C2×C4⋊C4—102no—
444C2×C42C2×C3×D511yescharacteristic
445#104—54no—
446#104C2×C3×D514yescomplemented
447#101—54no—
448C2×C3×C5—21no—
449C2×C3×C5—21no—
450C2×C3×C5—42no—
451C2×C3×C5#45612yescomplemented
452C2×C3×C5C2×#12011yescharacteristic
453C3×D5—42no—
454C23×C3—21no—
455C23×C3—101no—
456C23×C3D4×D511yescharacteristic
457C3×Q8—21no—
458C3×Q8—52no—
459C3×Q8—108no—
460C3×Q8—102no—
461C3×Q8—102no—
462C3×Q8—102no—
463C3×Q8—102no—
464C3×Q8—101no—
465C3×Q8—102no—
466C3×Q8—102no—
467C3×Q8—201no—
468C3×Q8—201no—
469C3×Q8C2×D2012yes—
470C3×D4—22no—
471C3×D4—22no—
472C3×D4—21no—
473C3×D4—52no—
474C3×D4—108no—
475C3×D4—102no—
476C3×D4—102no—
477C3×D4—101no—
478C3×D4C2×D2012yes—
479C2×C3×C4—24no—
480C2×C3×C4—22no—
481C2×C3×C4—21no—
482C2×C3×C4—22no—
483C2×C3×C4—22no—
484C2×C3×C4—54no—
485C2×C3×C4—108no—
486C2×C3×C4—108no—
487C2×C3×C4—102no—
488C2×C3×C4—102no—
489C2×C3×C4—101no—
490C2×C3×C4—102no—
491C2×C3×C4—102no—
492C2×C3×C4—102no—
493C2×C3×C4—201no—
494C2×C3×C4—201no—
495C2×C3×C4C2×D2011yescharacteristic
496C2×C3×C4C2×D2011yescharacteristic
497C2×C3×C4D4×D511yescharacteristic
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4D4×D511yescharacteristic
500C2×C3×C4C23×D511yescharacteristic
501C3×C8—22no—
502C3×C8—102no—
503C22×C5—22no—
504C22×C5—22no—
505C22×C5—42no—
506C22×C5C3×#12011yescharacteristic
507C22×C5C3×#12011yescharacteristic
508C22×C5C22×C3×D411yescharacteristic
509C2×D5—22no—
510C2×D5—42no—
511C4×C5—24no—
512C4×C5—22no—
513C4×C5C3×#12011yescharacteristic
514C4×C5C3×#12011yescharacteristic
515C4×C5C22×C3×D411yescharacteristic
516C4×C5C22×C3×D411yescharacteristic
517Dic5—24no—
518Dic5—22no—
519Dic5—42no—
520#41—21no—
521#41—21no—
522#41—52no—
523#41—52no—
524#41—104no—
525#41—104no—
526#41—108no—
527#41—108no—
528#41—104no—
529#41—104no—
530#41—101no—
531#41—101no—
532#41C3×D2012yes—
533#41C22×C3×D512yes—
534C2×Q8—52no—
535C2×Q8—52no—
536C2×Q8—51no—
537C2×Q8—52no—
538C2×Q8—104no—
539C2×Q8—102no—
540C2×Q8—104no—
541C2×Q8—104no—
542C2×Q8—104no—
543C2×Q8—101no—
544C2×Q8—101no—
545C2×Q8—101no—
546C2×Q8—101no—
547C2×Q8—101no—
548C2×Q8—101no—
549C2×Q8—101no—
550C2×Q8—101no—
551C2×Q8—101no—
552C2×Q8C3×D2011yescharacteristic
553C2×D4—21no—
554C2×D4—51no—
555C2×D4—102no—
556C2×D4—101no—
557C2×D4C3×D2011yescharacteristic
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—52no—
561C22×C4—102no—
562C22×C4—102no—
563C22×C4—101no—
564C22×C4—101no—
565C22×C4C22×C3×D511yescharacteristic
566Q16—104no—
567Q16—104no—
568SD16—104no—
569SD16—104no—
570M16—21no—
571M16—52no—
572M16—101no—
573M16C22×C3×D512yes—
574C2×C8—21no—
575C2×C8—101no—
576C4⋊C4—108no—
577C42—21no—
578C42C22×C3×D512yes—
579C3×C5C2×#45611yescharacteristic, complemented, Hall
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—42no—
583C22×C3—102no—
584C22×C3—202no—
585C22×C3#402811yescharacteristic
586C22×C3#402811yescharacteristic
587C22×C3C2×D4×D511yescharacteristic
588C3×C4—24no—
589C3×C4—22no—
590C3×C4—104no—
591C3×C4—102no—
592C3×C4—202no—
593C3×C4#402811yescharacteristic
594C3×C4#402811yescharacteristic
595C3×C4C22×D2011yescharacteristic
596C3×C4C2×D4×D511yescharacteristic
597C2×C5—21no—
598C2×C5—21no—
599C2×C5—42no—
600C2×C5C3×#45612yescomplemented
601C2×C5C2×C3×#12011yescharacteristic
602D5—42no—
603C23—21no—
604C23—101no—
605C23C3×D4×D511yescharacteristic
606Q8—21no—
607Q8—52no—
608Q8—108no—
609Q8—102no—
610Q8—102no—
611Q8—102no—
612Q8—102no—
613Q8—101no—
614Q8—102no—
615Q8—102no—
616Q8—201no—
617Q8—201no—
618Q8C2×C3×D2012yes—
619D4—22no—
620D4—22no—
621D4—21no—
622D4—52no—
623D4—108no—
624D4—102no—
625D4—102no—
626D4—101no—
627D4C2×C3×D2012yes—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—54no—
634C2×C4—108no—
635C2×C4—108no—
636C2×C4—102no—
637C2×C4—102no—
638C2×C4—101no—
639C2×C4—102no—
640C2×C4—102no—
641C2×C4—102no—
642C2×C4—201no—
643C2×C4—201no—
644C2×C4C2×C3×D2011yescharacteristic
645C2×C4C2×C3×D2011yescharacteristic
646C2×C4C3×D4×D511yescharacteristic
647C2×C4C3×D4×D511yescharacteristic
648C2×C4C3×D4×D511yescharacteristic
649C2×C4C23×C3×D511yescharacteristic
650C8—22no—
651C8—102no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—42no—
655C2×C3—202no—
656C2×C3#6511512yesdirect product factor
657C2×C3C2×#402811yescharacteristic
658C5C2×C3×#45611yescharacteristic, complemented, Sylow
659C22—22no—
660C22—22no—
661C22—42no—
662C22—102no—
663C22—202no—
664C22C3×#402811yescharacteristic
665C22C3×#402811yescharacteristic
666C22C2×C3×D4×D511yescharacteristic
667C4—24no—
668C4—22no—
669C4—104no—
670C4—102no—
671C4—202no—
672C4C3×#402811yescharacteristic
673C4C3×#402811yescharacteristic
674C4C22×C3×D2011yescharacteristic
675C4C2×C3×D4×D511yescharacteristic
676C3C2×#6511511yescharacteristic, direct product factor, Sylow
677C2—21no—
678C2—21no—
679C2—42no—
680C2—202no—
681C2C3×#6511512yesdirect product factor
682C2C2×C3×#402811yescharacteristic
subgroupG/H
centerC22×C3#4028
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC2×C3×C5×#104C2
socleC22×C3×C5#120
prime radicalC2×C3×#4150C2
hypercenterC2×C3×#104D5
hypocenterC5C2×C3×#456
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C2×C3×#104

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4097C2semidirect
3. C2×C3×#4055C2semidirect
4. C2×C3×#4015C2semidirect
5. C2×C3×C5×#104C2semidirect
6. C2×C3×#3956C2semidirect
7. C2×C3×#3937C2semidirect
8. C3×#65115C2direct (N × H)
9. C2×#65115C3direct (N × H)
26. C3×#4097C22semidirect
32. C3×#4055C22semidirect
36. C3×#4015C22semidirect
37. C3×C5×#104C22semidirect
38. C3×#3956C22semidirect
39. C3×#3937C22semidirect
42. C2×#4097C2×C3semidirect
43. C2×#4055C2×C3semidirect
44. C2×#4015C2×C3semidirect
45. C2×C5×#104C2×C3semidirect
46. C2×#3956C2×C3semidirect
47. C2×#3937C2×C3semidirect
48. #65115C2×C3direct (N × H)
114. C2×C3×#104D5semidirect
132. #4097C22×C3semidirect
138. #4055C22×C3semidirect
142. #4015C22×C3semidirect
143. C5×#104C22×C3semidirect
144. #3956C22×C3semidirect
145. #3937C22×C3semidirect
224. C3×#104C2×D5semidirect
291. C2×#104C3×D5semidirect
446. #104C2×C3×D5semidirect
451. C2×C3×C5#456semidirect
579. C3×C5C2×#456semidirect
600. C2×C5C3×#456semidirect
656. C2×C3#65115direct (N × H)
658. C5C2×C3×#456semidirect
676. C3C2×#65115direct (N × H)
681. C2C3×#65115direct (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
C2×C3×#40972
C2×C3×#40552
C2×C3×#40152
C2×C3×C5×#1042
C2×C3×#39562
C2×C3×#39372
C3×#651152
C2×#651153
C2×C3×#4565