Finite Group Databasebeta

← C2×C3×#5158 #11863687

Subgroups — C2×C3×#5158 #11863687

Order 1152.

1793 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C211yesmaximal, characteristic, complemented
2C22×C32×D8C211yesmaximal, characteristic, complemented
3C2×C3×#938C211yesmaximal, characteristic, complemented
4C22×C3×#214C211yesmaximal, characteristic, complemented
5C2×C3×#832C211yesmaximal, characteristic, complemented
6C3×#5158C218yesmaximal, direct product factor
7C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
8C2×C3×#816C211yesmaximal, characteristic, complemented
9C2×C3×#449—31nomaximal
10C2×#5158C311yesmaximal, characteristic, direct product factor
11C22×C32×D4C2211yescharacteristic
12C22×C32×D4C2211yescharacteristic
13C22×C3×#67—21no—
14C22×C3×#67—21no—
15C23×C3×Dic3—21no—
16C2×C3×#237—24no—
17C2×C3×#237—22no—
18C2×C3×#237—24no—
19C2×C3×#237C2214yescomplemented
20C22×C3×C4×D3C2211yescharacteristic
21C22×C3×Dic6C2211yescharacteristic
22C2×C32×D8—24no—
23C2×C32×D8C2214yescomplemented
24C22×C32×C8C2211yescharacteristic
25C2×C3×#217—21no—
26C3×#938—22no—
27C3×#938C2214yescomplemented
28C2×C3×#214—24no—
29C2×C3×#214C2214yescomplemented
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C22×C3×C3⋊C8C2211yescharacteristic
32C3×#832C2214yescomplemented
33C3×(C2×D3)⋊C8C2214yescomplemented
34C3×#816C2214yescomplemented
35C22×C3×#41—31no—
36C22×#237C2×C311yescharacteristic, complemented
37C22×C3×SD16—31no—
38C22×C3×D8—21no—
39C22×C3×D8D311yescharacteristic, complemented
40C22×C3×D8C2×C311yescharacteristic, complemented
41C2×C3×#121—31no—
42C2×#938C2×C311yescharacteristic, complemented
43C22×#214C2×C311yescharacteristic, complemented
44C3×#449—38no—
45C2×C3×#103—31no—
46C2×C3×#102—31no—
47C2×C3×C22⋊C8—31no—
48C2×#832C2×C311yescharacteristic, complemented
49#5158C2×C318yesdirect product factor
50C2×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
51C2×#816C2×C311yescharacteristic, complemented
52C24×C32—21no—
53C24×C32—21no—
54C23×C3×D3D411yescharacteristic
55C2×C32×D4—21no—
56C2×C32×D4—22no—
57C2×C32×D4—22no—
58C2×C32×D4—22no—
59C2×C32×D4—21no—
60C2×C32×D4D414yescomplemented
61C2×C32×D4C2312yes—
62C2×C32×D4C2312yes—
63C22×C32×C4C2311yescharacteristic
64C2×C3×#67—28no—
65C2×C3×#67—24no—
66C2×C3×#67—24no—
67C2×C3×#67—44no—
68C22×C3×Dic3—28no—
69C22×C3×Dic3—21no—
70C22×C3×Dic3—24no—
71C22×C3×Dic3—21no—
72C22×C3×Dic3D411yescharacteristic
73C3×#237—216no—
74C3×#237—28no—
75C3×#237—28no—
76C2×C3×C4×D3—22no—
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3D412yes—
79C2×C3×C4×D3C2312yes—
80C2×C3×Dic6—21no—
81C2×C3×Dic6—22no—
82C2×C3×Dic6D414yescomplemented
83C2×C3×Dic6C2312yes—
84C32×D8—28no—
85C2×C32×C8—22no—
86C2×C32×C8C2312yes—
87C3×#217—24no—
88C3×#214—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—31no—
99C22×C3×D4—21no—
100C22×C3×D4—21no—
101C22×C3×D4—61no—
102C22×C3×D4—61no—
103C22×C3×D4C2×D311yescharacteristic
104C22×C3×D4C2×D311yescharacteristic
105C22×C3×D4C22×C311yescharacteristic
106C22×C3×D4C22×C311yescharacteristic
107C23×C3×C4—31no—
108C23×C3×C4—61no—
109C22×#67—21no—
110C22×#67—21no—
111C23×Dic3—21no—
112C2×#237—24no—
113C2×#237—22no—
114C2×#237—24no—
115C2×#237C22×C314yescomplemented
116C22×C4×D3C22×C311yescharacteristic
117C22×Dic6C22×C311yescharacteristic
118C2×C3×SD16—34no—
119C2×C3×SD16—64no—
120C2×C3×D8—28no—
121C2×C3×D8—24no—
122C2×C3×D8—24no—
123C2×C3×D8—24no—
124C2×C3×D8C2×D314yescomplemented
125C2×C3×D8C22×C314yescomplemented
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×#214—24no—
138C2×#214C22×C314yescomplemented
139C2×C4⋊Dic3C22×C311yescharacteristic
140C22×C3⋊C8C22×C311yescharacteristic
141C3×#103—34no—
142C3×#102—34no—
143C3×C22⋊C8—34no—
144#832C22×C314yescomplemented
145(C2×D3)⋊C8C22×C314yescomplemented
146#816C22×C314yescomplemented
147C23×C32—24no—
148C23×C32—22no—
149C23×C32—22no—
150C23×C32—42no—
151C23×C32—42no—
152C23×C32—42no—
153C23×C32—42no—
154C23×C32—42no—
155C23×C32C2×D411yescharacteristic
156C22×C3×D3—22no—
157C22×C3×D3—22no—
158C22×C3×D3—22no—
159C22×C3×D3C2×D412yes—
160C32×D4—22no—
161C32×D4—24no—
162C32×D4—22no—
163C32×D4—22no—
164C32×D4—42no—
165C32×D4C2×D414yescomplemented
166C2×C32×C4C2×D411yescharacteristic
167C2×C32×C4C2×D412yes—
168C2×C32×C4C2×D412yes—
169C2×C32×C4C2411yescharacteristic
170C3×#67—216no—
171C3×#67—48no—
172C2×C3×Dic3—216no—
173C2×C3×Dic3—24no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—42no—
178C2×C3×Dic3C2×D412yes—
179C3×C4×D3—24no—
180C3×C4×D3—22no—
181C3×C4×D3—22no—
182C3×Dic6—24no—
183C3×Dic6—22no—
184C3×Dic6C2×D414yescomplemented
185C32×C8—22no—
186C3×C3⋊C8—22no—
187C22×#41—31no—
188C22×SD16—31no—
189C22×D8C3×D311yescharacteristic, complemented
190C2×#121—31no—
191#449—38no—
192C2×#103—31no—
193C2×#102—31no—
194C2×C22⋊C8—31no—
195C24×C3—21no—
196C24×C3—21no—
197C24×C3—21no—
198C24×C3—21no—
199C24×C3—31no—
200C24×C3—41no—
201C24×C3—41no—
202C23×D3C3×D411yescharacteristic
203C3×#41—68no—
204C3×#41—616no—
205C3×#41—68no—
206C2×C3×Q8—34no—
207C2×C3×Q8—32no—
208C2×C3×Q8—61no—
209C2×C3×Q8—62no—
210C2×C3×D4—24no—
211C2×C3×D4—21no—
212C2×C3×D4—22no—
213C2×C3×D4—22no—
214C2×C3×D4—21no—
215C2×C3×D4—22no—
216C2×C3×D4—21no—
217C2×C3×D4—22no—
218C2×C3×D4—22no—
219C2×C3×D4—22no—
220C2×C3×D4—21no—
221C2×C3×D4—24no—
222C2×C3×D4—22no—
223C2×C3×D4—22no—
224C2×C3×D4—41no—
225C2×C3×D4—42no—
226C2×C3×D4—42no—
227C2×C3×D4—41no—
228C2×C3×D4—64no—
229C2×C3×D4—68no—
230C2×C3×D4—64no—
231C2×C3×D4—124no—
232C2×C3×D4#6714yescomplemented
233C2×C3×D4C3×D414yescomplemented
234C2×C3×D4C22×D312yes—
235C2×C3×D4C22×D312yes—
236C2×C3×D4C23×C312yes—
237C2×C3×D4C23×C312yes—
238C22×C3×C4—21no—
239C22×C3×C4—31no—
240C22×C3×C4—32no—
241C22×C3×C4—32no—
242C22×C3×C4—64no—
243C22×C3×C4—68no—
244C22×C3×C4—61no—
245C22×C3×C4—62no—
246C22×C3×C4—62no—
247C22×C3×C4—61no—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C23×C311yescharacteristic
250C2×#67—28no—
251C2×#67—24no—
252C2×#67—24no—
253C2×#67—44no—
254C22×Dic3—28no—
255C22×Dic3—21no—
256C22×Dic3—24no—
257C22×Dic3—21no—
258C22×Dic3C3×D411yescharacteristic
259#237—216no—
260#237—28no—
261#237—28no—
262C2×C4×D3—22no—
263C2×C4×D3—22no—
264C2×C4×D3C3×D412yes—
265C2×C4×D3C23×C312yes—
266C2×Dic6—21no—
267C2×Dic6—22no—
268C2×Dic6C3×D414yescomplemented
269C2×Dic6C23×C312yes—
270C3×SD16—68no—
271C3×D8—216no—
272C3×D8—28no—
273C3×D8—28no—
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#214—28no—
287C4⋊Dic3—21no—
288C4⋊Dic3C23×C312yes—
289C2×C3⋊C8—22no—
290C2×C3⋊C8C23×C312yes—
291C22×C32—24no—
292C22×C32—42no—
293C22×C32—42no—
294C22×C32—42no—
295C22×C32—48no—
296C22×C32—42no—
297C22×C32—42no—
298C22×C32—84no—
299C22×C32#12012yes—
300C22×C32#13512yes—
301C22×C32AGL(1,ℤ/8)12yes—
302C22×C32C22×D411yescharacteristic
303C2×C3×D3—22no—
304C2×C3×D3—22no—
305C2×C3×D3—22no—
306C2×C3×D3—44no—
307C32×C4#12012yes—
308C32×C4C22×D411yescharacteristic
309C32×C4C22×D411yescharacteristic
310C3×Dic3—24no—
311C3×Dic3—22no—
312C3×Dic3—42no—
313C2×#41—34no—
314C2×#41—62no—
315C2×#41—64no—
316C2×#41—64no—
317C22×Q8—31no—
318C22×D4—61no—
319C22×D4—61no—
320C22×D4C2×C3×D311yescharacteristic
321C22×D4C2×C3×D311yescharacteristic
322C23×C4—31no—
323C23×C4—61no—
324C2×SD16—34no—
325C2×SD16—64no—
326C2×D8—24no—
327C2×D8C2×C3×D314yescomplemented
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—24no—
338C23×C3—24no—
339C23×C3—22no—
340C23×C3—22no—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—21no—
344C23×C3—32no—
345C23×C3—44no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—44no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—42no—
356C23×C3—42no—
357C23×C3—42no—
358C23×C3—42no—
359C23×C3—62no—
360C23×C3—62no—
361C23×C3—62no—
362C23×C3—82no—
363C23×C3—82no—
364C23×C3—82no—
365C23×C3—82no—
366C23×C3D3×D411yescharacteristic
367C23×C3C2×C3×D411yescharacteristic
368C22×D3—22no—
369C22×D3—22no—
370C22×D3—22no—
371C22×D3C2×C3×D412yes—
372C3×Q8—34no—
373C3×Q8—64no—
374C3×Q8—62no—
375C3×D4—24no—
376C3×D4—24no—
377C3×D4—24no—
378C3×D4—22no—
379C3×D4—22no—
380C3×D4—22no—
381C3×D4—22no—
382C3×D4—22no—
383C3×D4—22no—
384C3×D4—24no—
385C3×D4—44no—
386C3×D4—42no—
387C3×D4—42no—
388C3×D4—44no—
389C3×D4—42no—
390C3×D4—42no—
391C3×D4—616no—
392C3×D4—128no—
393C3×D4C2×#6714yescomplemented
394C3×D4C2×C3×D414yescomplemented
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—32no—
400C2×C3×C4—616no—
401C2×C3×C4—62no—
402C2×C3×C4—64no—
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—216no—
418#67—48no—
419C2×Dic3—216no—
420C2×Dic3—24no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—42no—
425C2×Dic3C2×C3×D412yes—
426C4×D3—24no—
427C4×D3—22no—
428C4×D3—22no—
429Dic6—24no—
430Dic6—22no—
431Dic6C2×C3×D414yescomplemented
432C3×C8—24no—
433C3×C8—22no—
434C3×C8—22no—
435C3×C8—62no—
436C3⋊C8—22no—
437C2×C32—44no—
438C2×C32—82no—
439C2×C32#44914yescomplemented
440C2×C32C2×#12011yescharacteristic
441C2×C32C2×#13511yescharacteristic
442C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
443C3×D3—42no—
444C24—21no—
445C24—21no—
446C24—31no—
447#41—68no—
448#41—616no—
449#41—68no—
450C2×Q8—32no—
451C2×Q8—34no—
452C2×Q8—61no—
453C2×Q8—62no—
454C2×D4—21no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—21no—
458C2×D4—22no—
459C2×D4—64no—
460C2×D4—68no—
461C2×D4—64no—
462C2×D4—124no—
463C2×D4C3×#6714yescomplemented
464C2×D4C22×C3×D312yes—
465C2×D4C22×C3×D312yes—
466C22×C4—31no—
467C22×C4—32no—
468C22×C4—32no—
469C22×C4—64no—
470C22×C4—68no—
471C22×C4—61no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—61no—
475C22×C4C22×C3×D311yescharacteristic
476SD16—68no—
477D8—28no—
478C2×C8—22no—
479C2×C8—32no—
480C2×C8—62no—
481C2×C8C22×C3×D312yes—
482C4⋊C4—32no—
483C4⋊C4—61no—
484C22⋊C4—64no—
485C22×C3—24no—
486C22×C3—24no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—21no—
491C22×C3—44no—
492C22×C3—44no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—48no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—48no—
499C22×C3—42no—
500C22×C3—42no—
501C22×C3—42no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—62no—
506C22×C3—62no—
507C22×C3—62no—
508C22×C3—82no—
509C22×C3—82no—
510C22×C3—88no—
511C22×C3—82no—
512C22×C3—82no—
513C22×C3—88no—
514C22×C3—84no—
515C22×C3—84no—
516C22×C3—124no—
517C22×C3#91112yes—
518C22×C3#91212yes—
519C22×C3#93712yes—
520C22×C3C3×#12012yes—
521C22×C3C3×#13512yes—
522C22×C3C3×AGL(1,ℤ/8)12yes—
523C22×C3C2×D3×D411yescharacteristic
524C22×C3C22×C3×D411yescharacteristic
525C2×D3—22no—
526C2×D3—22no—
527C2×D3—22no—
528C2×D3—44no—
529C3×C4—22no—
530C3×C4—21no—
531C3×C4—21no—
532C3×C4—62no—
533C3×C4—64no—
534C3×C4—122no—
535C3×C4#93712yes—
536C3×C4C3×#12012yes—
537C3×C4C2×D3×D411yescharacteristic
538C3×C4C22×#6711yescharacteristic
539C3×C4C22×C3×D411yescharacteristic
540C3×C4C22×C3×D411yescharacteristic
541Dic3—24no—
542Dic3—22no—
543Dic3—42no—
544C32C2×#44911yescharacteristic, complemented, Sylow
545C23—24no—
546C23—22no—
547C23—22no—
548C23—32no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—62no—
555C23—62no—
556C23—62no—
557C23C3×D3×D411yescharacteristic
558Q8—34no—
559Q8—64no—
560Q8—62no—
561D4—24no—
562D4—22no—
563D4—22no—
564D4—22no—
565D4—42no—
566D4—616no—
567D4—128no—
568D4C2×C3×#6714yescomplemented
569C2×C4—32no—
570C2×C4—616no—
571C2×C4—62no—
572C2×C4—64no—
573C2×C4—62no—
574C2×C4—64no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—122no—
579C2×C4C3×D3×D411yescharacteristic
580C2×C4C3×D3×D412yes—
581C2×C4C2×C3×#6712yes—
582C2×C4C23×C3×D311yescharacteristic
583C8—22no—
584C8—62no—
585C2×C3—21no—
586C2×C3—21no—
587C2×C3—21no—
588C2×C3—24no—
589C2×C3—44no—
590C2×C3—44no—
591C2×C3—84no—
592C2×C3—84no—
593C2×C3—82no—
594C2×C3—82no—
595C2×C3—122no—
596C2×C3#515814yesdirect product factor
597C2×C3C3×#44914yescomplemented
598C2×C3C2×#91111yescharacteristic
599C2×C3C2×#91211yescharacteristic
600C2×C3C2×#93711yescharacteristic
601C2×C3C2×C3×#12011yescharacteristic
602C2×C3C2×C3×#13511yescharacteristic
603C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
604D3—42no—
605C22—24no—
606C22—42no—
607C22—42no—
608C22—48no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—62no—
613C22—62no—
614C22—62no—
615C22—84no—
616C22—124no—
617C22C3×#91112yes—
618C22C3×#91212yes—
619C22C3×#93712yes—
620C22C2×C3×D3×D411yescharacteristic
621C4—62no—
622C4—64no—
623C4—122no—
624C4C3×#93712yes—
625C4C2×C3×D3×D411yescharacteristic
626C4C22×C3×#6711yescharacteristic
627C3—21no—
628C3C2×#515811yescharacteristic, direct product factor
629C3C2×C3×#44911yescharacteristic, complemented
630C2—44no—
631C2—82no—
632C2—122no—
633C2C3×#515814yesdirect product factor
634C2C2×C3×#91111yescharacteristic
635C2C2×C3×#91211yescharacteristic
636C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×D8C2
socleC23×C32C2×D4
hypercenterC22×C3×D8D3
hypocenterC3C2×C3×#449
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×D8

Complements

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

NH ≅ G/Ntype
1. C22×C3×#237C2semidirect
2. C22×C32×D8C2semidirect
3. C2×C3×#938C2semidirect
4. C22×C3×#214C2semidirect
5. C2×C3×#832C2semidirect
6. C3×#5158C2direct (N × H)
7. C2×C3×(C2×D3)⋊C8C2semidirect
8. C2×C3×#816C2semidirect
10. C2×#5158C3direct (N × H)
19. C2×C3×#237C22semidirect
23. C2×C32×D8C22semidirect
27. C3×#938C22semidirect
29. C2×C3×#214C22semidirect
32. C3×#832C22semidirect
33. C3×(C2×D3)⋊C8C22semidirect
34. C3×#816C22semidirect
36. C22×#237C2×C3semidirect
39. C22×C3×D8D3semidirect
40. C22×C3×D8C2×C3semidirect
42. C2×#938C2×C3semidirect
43. C22×#214C2×C3semidirect
48. C2×#832C2×C3semidirect
49. #5158C2×C3direct (N × H)
50. C2×(C2×D3)⋊C8C2×C3semidirect
51. C2×#816C2×C3semidirect
60. C2×C32×D4D4semidirect
82. C2×C3×Dic6D4semidirect
115. C2×#237C22×C3semidirect
124. C2×C3×D8C2×D3semidirect
125. C2×C3×D8C22×C3semidirect
136. #938C22×C3semidirect
138. C2×#214C22×C3semidirect
144. #832C22×C3semidirect
145. (C2×D3)⋊C8C22×C3semidirect
146. #816C22×C3semidirect
165. C32×D4C2×D4semidirect
184. C3×Dic6C2×D4semidirect
189. C22×D8C3×D3semidirect
232. C2×C3×D4#67semidirect
233. C2×C3×D4C3×D4semidirect
268. C2×Dic6C3×D4semidirect
327. C2×D8C2×C3×D3semidirect
393. C3×D4C2×#67semidirect
394. C3×D4C2×C3×D4semidirect
431. Dic6C2×C3×D4semidirect
439. C2×C32#449semidirect
463. C2×D4C3×#67semidirect
544. C32C2×#449semidirect
568. D4C2×C3×#67semidirect
596. C2×C3#5158direct (N × H)
597. C2×C3C3×#449semidirect
628. C3C2×#5158direct (N × H)
629. C3C2×C3×#449semidirect
633. C2C3×#5158direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C22×C32×D82
C2×C3×#9382
C22×C3×#2142
C2×C3×#8322
C3×#51582
C2×C3×(C2×D3)⋊C82
C2×C3×#8162
C2×C3×#4493
C2×#51583