Finite Group Databasebeta

← C2×C3×#5172 #11863693

Subgroups — C2×C3×#5172 #11863693

Order 1152.

1773 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#239C211yesmaximal, characteristic, complemented
2C22×C32×SD16C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C22×C3×#213C211yesmaximal, characteristic, complemented
5C2×C3×#835C211yesmaximal, characteristic, complemented
6C3×#5172C218yesmaximal, direct product factor
7C2×C3×#821C211yesmaximal, characteristic, complemented
8C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
9C2×C3×#449—31nomaximal
10C2×#5172C311yesmaximal, characteristic, direct product factor
11C22×C32×Q8C2211yescharacteristic
12C22×C32×D4C2211yescharacteristic
13C22×C3×#67—21no—
14C2×C3×#239—24no—
15C2×C3×#239—24no—
16C2×C3×#239—22no—
17C2×C3×#239C2214yescomplemented
18C22×C3×D12—21no—
19C22×C3×D12C2211yescharacteristic
20C22×C3×C4×D3—21no—
21C22×C3×C4×D3C2211yescharacteristic
22C2×C32×SD16—24no—
23C2×C32×SD16C2214yescomplemented
24C22×C32×C8C2211yescharacteristic
25C2×C3×#217—21no—
26C3×#938—22no—
27C3×#938C2214yescomplemented
28C2×C3×#213—24no—
29C2×C3×#213C2214yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C22×C3×C3⋊C8C2211yescharacteristic
32C3×#835C2214yescomplemented
33C3×#821C2214yescomplemented
34C3×(C2×D3)⋊C8C2214yescomplemented
35C22×C3×#41—31no—
36C22×#239C2×C311yescharacteristic, complemented
37C22×C3×SD16—21no—
38C22×C3×SD16D311yescharacteristic, complemented
39C22×C3×SD16C2×C311yescharacteristic, complemented
40C22×C3×D8—31no—
41C2×C3×#121—31no—
42C2×#938C2×C311yescharacteristic, complemented
43C22×#213C2×C311yescharacteristic, complemented
44C3×#449—38no—
45C2×C3×#103—31no—
46C2×C3×#102—31no—
47C2×C3×C22⋊C8—31no—
48C2×#835C2×C311yescharacteristic, complemented
49#5172C2×C318yesdirect product factor
50C2×#821C2×C311yescharacteristic, complemented
51C2×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
52C24×C32—21no—
53C23×C3×D3—21no—
54C23×C3×D3D411yescharacteristic
55C2×C32×Q8—22no—
56C2×C32×Q8—21no—
57C2×C32×Q8D414yescomplemented
58C2×C32×Q8C2312yes—
59C2×C32×D4—22no—
60C2×C32×D4—22no—
61C2×C32×D4—21no—
62C2×C32×D4C2312yes—
63C22×C32×C4—21no—
64C22×C32×C4C2311yescharacteristic
65C2×C3×#67—24no—
66C2×C3×#67—44no—
67C22×C3×Dic3—21no—
68C22×C3×Dic3D411yescharacteristic
69C3×#239—216no—
70C3×#239—28no—
71C3×#239—28no—
72C2×C3×D12—28no—
73C2×C3×D12—24no—
74C2×C3×D12—21no—
75C2×C3×D12—22no—
76C2×C3×D12D414yescomplemented
77C2×C3×D12C2312yes—
78C2×C3×C4×D3—28no—
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3D412yes—
83C2×C3×C4×D3C2312yes—
84C32×SD16—28no—
85C2×C32×C8—22no—
86C2×C32×C8C2312yes—
87C3×#217—24no—
88C3×#213—28no—
89C3×C4⋊Dic3—21no—
90C3×C4⋊Dic3C2312yes—
91C2×C3×C3⋊C8—22no—
92C2×C3×C3⋊C8C2312yes—
93C2×#449—31noSylow
94C2×C3×#41—34no—
95C2×C3×#41—62no—
96C2×C3×#41—64no—
97C2×C3×#41—64no—
98C22×C3×Q8—21no—
99C22×C3×Q8C2×D311yescharacteristic
100C22×C3×Q8C22×C311yescharacteristic
101C22×C3×D4—21no—
102C22×C3×D4—31no—
103C22×C3×D4—61no—
104C22×C3×D4—61no—
105C22×C3×D4C2×D311yescharacteristic
106C22×C3×D4C22×C311yescharacteristic
107C23×C3×C4—31no—
108C23×C3×C4—61no—
109C22×#67—21no—
110C2×#239—24no—
111C2×#239—24no—
112C2×#239—22no—
113C2×#239C22×C314yescomplemented
114C22×D12—21no—
115C22×D12C22×C311yescharacteristic
116C22×C4×D3—21no—
117C22×C4×D3C22×C311yescharacteristic
118C2×C3×SD16—28no—
119C2×C3×SD16—24no—
120C2×C3×SD16—24no—
121C2×C3×SD16—24no—
122C2×C3×SD16C2×D314yescomplemented
123C2×C3×SD16C22×C314yescomplemented
124C2×C3×D8—34no—
125C2×C3×D8—64no—
126C22×C3×C8—21no—
127C22×C3×C8—31no—
128C22×C3×C8C2×D311yescharacteristic
129C22×C3×C8C22×C311yescharacteristic
130C3×#121—34no—
131C3×#121—62no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C22⋊C4—61no—
134C2×#217—21no—
135#938—22no—
136#938C22×C314yescomplemented
137C2×#213—24no—
138C2×#213C22×C314yescomplemented
139C2×C4⋊Dic3C22×C311yescharacteristic
140C22×C3⋊C8C22×C311yescharacteristic
141C3×#103—34no—
142C3×#102—34no—
143C3×C22⋊C8—34no—
144#835C22×C314yescomplemented
145#821C22×C314yescomplemented
146(C2×D3)⋊C8C22×C314yescomplemented
147C23×C32—22no—
148C23×C32—42no—
149C23×C32—42no—
150C23×C32—42no—
151C23×C32C2×D411yescharacteristic
152C22×C3×D3—24no—
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—22no—
156C22×C3×D3—22no—
157C22×C3×D3—42no—
158C22×C3×D3—42no—
159C22×C3×D3C2×D412yes—
160C32×Q8—24no—
161C32×Q8—22no—
162C32×Q8C2×D414yescomplemented
163C32×D4—22no—
164C32×D4—22no—
165C32×D4—42no—
166C2×C32×C4—24no—
167C2×C32×C4—22no—
168C2×C32×C4C2×D411yescharacteristic
169C2×C32×C4C2×D412yes—
170C2×C32×C4C2×D412yes—
171C2×C32×C4C2411yescharacteristic
172C3×#67—48no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—42no—
176C2×C3×Dic3C2×D412yes—
177C3×D12—216no—
178C3×D12—24no—
179C3×D12—22no—
180C3×D12C2×D414yescomplemented
181C3×C4×D3—216no—
182C3×C4×D3—24no—
183C3×C4×D3—22no—
184C3×C4×D3—22no—
185C32×C8—22no—
186C3×C3⋊C8—22no—
187C22×#41—31no—
188C22×SD16C3×D311yescharacteristic, complemented
189C22×D8—31no—
190C2×#121—31no—
191#449—38no—
192C2×#103—31no—
193C2×#102—31no—
194C2×C22⋊C8—31no—
195C24×C3—21no—
196C24×C3—21no—
197C24×C3—31no—
198C24×C3—41no—
199C24×C3—61no—
200C23×D3—21no—
201C23×D3C3×D411yescharacteristic
202C3×#41—68no—
203C3×#41—616no—
204C3×#41—68no—
205C2×C3×Q8—22no—
206C2×C3×Q8—21no—
207C2×C3×Q8—22no—
208C2×C3×Q8—21no—
209C2×C3×Q8—24no—
210C2×C3×Q8—22no—
211C2×C3×Q8—42no—
212C2×C3×Q8—41no—
213C2×C3×Q8#6714yescomplemented
214C2×C3×Q8C3×D414yescomplemented
215C2×C3×Q8C22×D312yes—
216C2×C3×Q8C23×C312yes—
217C2×C3×D4—24no—
218C2×C3×D4—22no—
219C2×C3×D4—21no—
220C2×C3×D4—22no—
221C2×C3×D4—22no—
222C2×C3×D4—22no—
223C2×C3×D4—21no—
224C2×C3×D4—22no—
225C2×C3×D4—34no—
226C2×C3×D4—32no—
227C2×C3×D4—42no—
228C2×C3×D4—41no—
229C2×C3×D4—64no—
230C2×C3×D4—68no—
231C2×C3×D4—64no—
232C2×C3×D4—61no—
233C2×C3×D4—62no—
234C2×C3×D4—124no—
235C2×C3×D4C22×D312yes—
236C2×C3×D4C23×C312yes—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4—41no—
244C22×C3×C4—64no—
245C22×C3×C4—68no—
246C22×C3×C4—62no—
247C22×C3×C4—62no—
248C22×C3×C4—61no—
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C23×C311yescharacteristic
251C2×#67—24no—
252C2×#67—44no—
253C22×Dic3—21no—
254C22×Dic3C3×D411yescharacteristic
255#239—216no—
256#239—28no—
257#239—28no—
258C2×D12—28no—
259C2×D12—24no—
260C2×D12—21no—
261C2×D12—22no—
262C2×D12C3×D414yescomplemented
263C2×D12C23×C312yes—
264C2×C4×D3—28no—
265C2×C4×D3—22no—
266C2×C4×D3—22no—
267C2×C4×D3—24no—
268C2×C4×D3C3×D412yes—
269C2×C4×D3C23×C312yes—
270C3×SD16—216no—
271C3×SD16—28no—
272C3×SD16—28no—
273C3×D8—68no—
274C2×C3×C8—24no—
275C2×C3×C8—22no—
276C2×C3×C8—22no—
277C2×C3×C8—22no—
278C2×C3×C8—32no—
279C2×C3×C8—62no—
280C2×C3×C8C22×D312yes—
281C2×C3×C8C23×C312yes—
282C3×C4⋊C4—32no—
283C3×C4⋊C4—61no—
284C3×C22⋊C4—64no—
285#217—24no—
286#213—28no—
287C4⋊Dic3—21no—
288C4⋊Dic3C23×C312yes—
289C2×C3⋊C8—22no—
290C2×C3⋊C8C23×C312yes—
291C22×C32—42no—
292C22×C32—42no—
293C22×C32—42no—
294C22×C32—84no—
295C22×C32#12012yes—
296C22×C32#13512yes—
297C22×C32AGL(1,ℤ/8)12yes—
298C22×C32C22×D411yescharacteristic
299C2×C3×D3—22no—
300C2×C3×D3—24no—
301C2×C3×D3—22no—
302C2×C3×D3—22no—
303C2×C3×D3—42no—
304C2×C3×D3—42no—
305C2×C3×D3—44no—
306C2×C3×D3—48no—
307C32×C4—24no—
308C32×C4#12012yes—
309C32×C4C22×D411yescharacteristic
310C32×C4C22×D411yescharacteristic
311C3×Dic3—22no—
312C3×Dic3—42no—
313C2×#41—34no—
314C2×#41—62no—
315C2×#41—64no—
316C2×#41—64no—
317C22×Q8C2×C3×D311yescharacteristic
318C22×D4—31no—
319C22×D4—61no—
320C22×D4—61no—
321C22×D4C2×C3×D311yescharacteristic
322C23×C4—31no—
323C23×C4—61no—
324C2×SD16—24no—
325C2×SD16C2×C3×D314yescomplemented
326C2×D8—34no—
327C2×D8—64no—
328C22×C8—31no—
329C22×C8C2×C3×D311yescharacteristic
330#121—34no—
331#121—62no—
332C2×C4⋊C4—31no—
333C2×C22⋊C4—61no—
334#103—34no—
335#102—34no—
336C22⋊C8—34no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—21no—
340C23×C3—32no—
341C23×C3—42no—
342C23×C3—44no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—62no—
350C23×C3—62no—
351C23×C3—64no—
352C23×C3—62no—
353C23×C3—62no—
354C23×C3—82no—
355C23×C3—82no—
356C23×C3—122no—
357C23×C3—122no—
358C23×C3D3×D411yescharacteristic
359C23×C3C2×C3×D411yescharacteristic
360C22×D3—22no—
361C22×D3—24no—
362C22×D3—22no—
363C22×D3—22no—
364C22×D3—22no—
365C22×D3—42no—
366C22×D3—42no—
367C22×D3C2×C3×D412yes—
368C3×Q8—24no—
369C3×Q8—24no—
370C3×Q8—22no—
371C3×Q8—22no—
372C3×Q8—24no—
373C3×Q8—44no—
374C3×Q8—42no—
375C3×Q8C2×#6714yescomplemented
376C3×Q8C2×C3×D414yescomplemented
377C3×D4—24no—
378C3×D4—22no—
379C3×D4—22no—
380C3×D4—22no—
381C3×D4—22no—
382C3×D4—34no—
383C3×D4—42no—
384C3×D4—44no—
385C3×D4—42no—
386C3×D4—42no—
387C3×D4—616no—
388C3×D4—64no—
389C3×D4—62no—
390C3×D4—128no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—32no—
400C2×C3×C4—44no—
401C2×C3×C4—42no—
402C2×C3×C4—616no—
403C2×C3×C4—62no—
404C2×C3×C4—64no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—122no—
409C2×C3×C4D3×D411yescharacteristic
410C2×C3×C4D3×D412yes—
411C2×C3×C4C2×#6712yes—
412C2×C3×C4C2×C3×D411yescharacteristic
413C2×C3×C4C2×C3×D412yes—
414C2×C3×C4C2×C3×D412yes—
415C2×C3×C4C23×D311yescharacteristic
416C2×C3×C4C24×C311yescharacteristic
417#67—48no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—42no—
421C2×Dic3C2×C3×D412yes—
422D12—216no—
423D12—24no—
424D12—22no—
425D12C2×C3×D414yescomplemented
426C4×D3—216no—
427C4×D3—24no—
428C4×D3—22no—
429C4×D3—22no—
430C3×C8—24no—
431C3×C8—22no—
432C3×C8—22no—
433C3×C8—62no—
434C3⋊C8—22no—
435C2×C32—82no—
436C2×C32#44914yescomplemented
437C2×C32C2×#12011yescharacteristic
438C2×C32C2×#13511yescharacteristic
439C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
440C3×D3—42no—
441C3×D3—44no—
442C24—21no—
443C24—31no—
444C24—61no—
445#41—68no—
446#41—616no—
447#41—68no—
448C2×Q8—22no—
449C2×Q8—21no—
450C2×Q8C3×#6714yescomplemented
451C2×Q8C22×C3×D312yes—
452C2×D4—22no—
453C2×D4—21no—
454C2×D4—22no—
455C2×D4—32no—
456C2×D4—34no—
457C2×D4—64no—
458C2×D4—68no—
459C2×D4—64no—
460C2×D4—61no—
461C2×D4—62no—
462C2×D4—124no—
463C2×D4C22×C3×D312yes—
464C22×C4—21no—
465C22×C4—31no—
466C22×C4—32no—
467C22×C4—32no—
468C22×C4—64no—
469C22×C4—68no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—61no—
473C22×C4C22×C3×D311yescharacteristic
474SD16—28no—
475D8—68no—
476C2×C8—22no—
477C2×C8—32no—
478C2×C8—62no—
479C2×C8C22×C3×D312yes—
480C4⋊C4—32no—
481C4⋊C4—61no—
482C22⋊C4—64no—
483C22×C3—22no—
484C22×C3—22no—
485C22×C3—22no—
486C22×C3—21no—
487C22×C3—44no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—62no—
495C22×C3—62no—
496C22×C3—64no—
497C22×C3—62no—
498C22×C3—82no—
499C22×C3—82no—
500C22×C3—88no—
501C22×C3—84no—
502C22×C3—84no—
503C22×C3—124no—
504C22×C3—128no—
505C22×C3—122no—
506C22×C3—122no—
507C22×C3#91412yes—
508C22×C3#91612yes—
509C22×C3#93712yes—
510C22×C3C3×#12012yes—
511C22×C3C3×#13512yes—
512C22×C3C3×AGL(1,ℤ/8)12yes—
513C22×C3C2×D3×D411yescharacteristic
514C22×C3C22×C3×D411yescharacteristic
515C2×D3—22no—
516C2×D3—22no—
517C2×D3—22no—
518C2×D3—24no—
519C2×D3—42no—
520C2×D3—42no—
521C2×D3—44no—
522C2×D3—48no—
523C3×C4—24no—
524C3×C4—24no—
525C3×C4—22no—
526C3×C4—21no—
527C3×C4—21no—
528C3×C4—44no—
529C3×C4—62no—
530C3×C4—122no—
531C3×C4#93712yes—
532C3×C4C3×#12012yes—
533C3×C4C2×D3×D411yescharacteristic
534C3×C4C22×#6711yescharacteristic
535C3×C4C22×C3×D411yescharacteristic
536C3×C4C22×C3×D411yescharacteristic
537Dic3—22no—
538Dic3—42no—
539C32C2×#44911yescharacteristic, complemented, Sylow
540C23—22no—
541C23—32no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—62no—
546C23—62no—
547C23—64no—
548C23—62no—
549C23—62no—
550C23—122no—
551C23—122no—
552C23C3×D3×D411yescharacteristic
553Q8—24no—
554Q8—22no—
555Q8C2×C3×#6714yescomplemented
556D4—22no—
557D4—22no—
558D4—34no—
559D4—42no—
560D4—616no—
561D4—64no—
562D4—62no—
563D4—128no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—32no—
567C2×C4—616no—
568C2×C4—62no—
569C2×C4—64no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—62no—
573C2×C4—122no—
574C2×C4C3×D3×D411yescharacteristic
575C2×C4C3×D3×D412yes—
576C2×C4C2×C3×#6712yes—
577C2×C4C23×C3×D311yescharacteristic
578C8—22no—
579C8—62no—
580C2×C3—24no—
581C2×C3—21no—
582C2×C3—21no—
583C2×C3—21no—
584C2×C3—84no—
585C2×C3—82no—
586C2×C3—82no—
587C2×C3—122no—
588C2×C3—124no—
589C2×C3#517214yesdirect product factor
590C2×C3C3×#44914yescomplemented
591C2×C3C2×#91411yescharacteristic
592C2×C3C2×#91611yescharacteristic
593C2×C3C2×#93711yescharacteristic
594C2×C3C2×C3×#12011yescharacteristic
595C2×C3C2×C3×#13511yescharacteristic
596C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
597D3—42no—
598D3—44no—
599C22—42no—
600C22—42no—
601C22—42no—
602C22—62no—
603C22—62no—
604C22—64no—
605C22—62no—
606C22—84no—
607C22—124no—
608C22—128no—
609C22—122no—
610C22—122no—
611C22C3×#91412yes—
612C22C3×#91612yes—
613C22C3×#93712yes—
614C22C2×C3×D3×D411yescharacteristic
615C4—24no—
616C4—62no—
617C4—122no—
618C4C3×#93712yes—
619C4C2×C3×D3×D411yescharacteristic
620C4C22×C3×#6711yescharacteristic
621C3—21no—
622C3C2×#517211yescharacteristic, direct product factor
623C3C2×C3×#44911yescharacteristic, complemented
624C2—82no—
625C2—122no—
626C2—124no—
627C2C3×#517214yesdirect product factor
628C2C2×C3×#91411yescharacteristic
629C2C2×C3×#91611yescharacteristic
630C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×SD16C2
socleC23×C32C2×D4
hypercenterC22×C3×SD16D3
hypocenterC3C2×C3×#449
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×SD16

Complements

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

NH ≅ G/Ntype
1. C22×C3×#239C2semidirect
2. C22×C32×SD16C2semidirect
3. C2×C3×#938C2semidirect
4. C22×C3×#213C2semidirect
5. C2×C3×#835C2semidirect
6. C3×#5172C2direct (N × H)
7. C2×C3×#821C2semidirect
8. C2×C3×(C2×D3)⋊C8C2semidirect
10. C2×#5172C3direct (N × H)
17. C2×C3×#239C22semidirect
23. C2×C32×SD16C22semidirect
27. C3×#938C22semidirect
29. C2×C3×#213C22semidirect
32. C3×#835C22semidirect
33. C3×#821C22semidirect
34. C3×(C2×D3)⋊C8C22semidirect
36. C22×#239C2×C3semidirect
38. C22×C3×SD16D3semidirect
39. C22×C3×SD16C2×C3semidirect
42. C2×#938C2×C3semidirect
43. C22×#213C2×C3semidirect
48. C2×#835C2×C3semidirect
49. #5172C2×C3direct (N × H)
50. C2×#821C2×C3semidirect
51. C2×(C2×D3)⋊C8C2×C3semidirect
57. C2×C32×Q8D4semidirect
76. C2×C3×D12D4semidirect
113. C2×#239C22×C3semidirect
122. C2×C3×SD16C2×D3semidirect
123. C2×C3×SD16C22×C3semidirect
136. #938C22×C3semidirect
138. C2×#213C22×C3semidirect
144. #835C22×C3semidirect
145. #821C22×C3semidirect
146. (C2×D3)⋊C8C22×C3semidirect
162. C32×Q8C2×D4semidirect
180. C3×D12C2×D4semidirect
188. C22×SD16C3×D3semidirect
213. C2×C3×Q8#67semidirect
214. C2×C3×Q8C3×D4semidirect
262. C2×D12C3×D4semidirect
325. C2×SD16C2×C3×D3semidirect
375. C3×Q8C2×#67semidirect
376. C3×Q8C2×C3×D4semidirect
425. D12C2×C3×D4semidirect
436. C2×C32#449semidirect
450. C2×Q8C3×#67semidirect
539. C32C2×#449semidirect
555. Q8C2×C3×#67semidirect
589. C2×C3#5172direct (N × H)
590. C2×C3C3×#449semidirect
622. C3C2×#5172direct (N × H)
623. C3C2×C3×#449semidirect
627. C2C3×#5172direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#2392
C22×C32×SD162
C2×C3×#9382
C22×C3×#2132
C2×C3×#8352
C3×#51722
C2×C3×#8212
C2×C3×(C2×D3)⋊C82
C2×C3×#4493
C2×#51723