Finite Group Databasebeta

← C3×#83634 #11887079

Subgroups — C3×#83634 #11887079

Order 1152.

1038 conjugacy classes of subgroups.

The subgroup lattice has 605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#554C211yesmaximal, characteristic, complemented
2C3×D4×D12C211yesmaximal, characteristic
3C3×#5088C211yesmaximal, characteristic, complemented
4C3×#5084C211yesmaximal, characteristic, complemented
5C3×#5048C212yesmaximal, complemented
6C3×#5046C212yesmaximal, complemented
7C3×#5027C211yesmaximal, characteristic, complemented
8C3×C4×#215C211yesmaximal, characteristic, complemented
9C3×D4×C3⋊C8C211yesmaximal, characteristic, complemented
10C3×#4968C212yesmaximal, complemented
11C2×C3×#809C212yesmaximal, complemented
12C3×#3295—31nomaximal
13#83634C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×D4—21no—
15C22×C3×D12C2212yes—
16C32×C4⋊Q8C2211yescharacteristic, complemented
17C32×#125—21no—
18C32×C22⋊Q8—22no—
19C32×C22⋊Q8C2212yescomplemented
20C32×C4×Q8C2211yescharacteristic, complemented
21C32×C4×D4—21no—
22C32×C4×D4C2211yescharacteristic
23C2×C32×C4⋊C4C2212yescomplemented
24C2×C3×#215C2211yescharacteristic
25C2×C3×#215C2212yescomplemented
26C3×#930C2212yes—
27C22×C3×C3⋊C8C2212yescomplemented
28C3×#895—21no—
29C3×#882—22no—
30C3×#874C2211yescharacteristic
31C3×C4×D12C2211yescharacteristic
32C3×#835C2211yescharacteristic, complemented
33C3×#830C2212yescomplemented
34C3×#809C2211yescharacteristic
35C3×#809C2212yes—
36C3×#809C2212yescomplemented
37C3×#809C2212yescomplemented
38C3×#809C2212yescomplemented
39C3×#808C2211yescharacteristic, complemented
40C3×#808C2212yescomplemented
41C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
42C3×C4×C3⋊C8C2211yescharacteristic, complemented
43C3×#554—21no—
44C3×#554D311yescharacteristic, complemented
45C3×#554C2×C311yescharacteristic, complemented
46C3×D42—31no—
47D4×D12C2×C311yescharacteristic
48C3×#486—31no—
49C3×#481—32no—
50C3×#476—31no—
51C3×#465—32no—
52C3×#460—31no—
53C3×#450—32no—
54C3×C4×SD16—31no—
55C3×C8×D4—31no—
56C2×C3×#102—32no—
57#5088C2×C311yescharacteristic, complemented
58#5084C2×C311yescharacteristic, complemented
59#5048C2×C312yescomplemented
60#5046C2×C312yescomplemented
61#5027C2×C311yescharacteristic, complemented
62C4×#215C2×C311yescharacteristic, complemented
63D4×C3⋊C8C2×C311yescharacteristic, complemented
64#4968C2×C312yescomplemented
65C2×#809C2×C312yescomplemented
66C23×C3×D3—22no—
67C2×C32×Q8—21no—
68C2×C32×Q8C2311yescharacteristic
69C2×C32×D4D411yescharacteristic
70C22×C32×C4—22no—
71C22×C32×C4C2312yes—
72C2×C3×#67—22no—
73C3×D3×D4—44no—
74C2×C3×D12—24no—
75C2×C3×D12—22no—
76C2×C3×D12—21no—
77C2×C3×D12—21no—
78C2×C3×D12—42no—
79C2×C3×D12C2312yes—
80C2×C3×D12C2311yescharacteristic
81C2×C3×C4×D3—21no—
82C32×C4⋊C4—22no—
83C32×C4⋊C4—21no—
84C32×C4⋊C4—21no—
85C32×C4⋊C4—22no—
86C32×C4⋊C4D411yescharacteristic
87C32×C4⋊C4C2311yescharacteristic
88C32×C4⋊C4C2312yes—
89C32×C22⋊C4—22no—
90C32×C22⋊C4D412yes—
91C32×C42—21no—
92C32×C42C2311yescharacteristic
93C3×#215—22no—
94C3×#215—42no—
95C3×(C2×D3)⋊C4—21no—
96C3×(C2×D3)⋊C4—22no—
97C3×C4⋊Dic3C2311yescharacteristic
98C2×C3×C3⋊C8—42no—
99C2×C3×C3⋊C8C2311yescharacteristic
100C2×C3×C3⋊C8C2312yes—
101C2×C3×C3⋊C8C2311yescharacteristic
102#3295—31noSylow
103C22×C3×D4—32no—
104C22×C3×D4—61no—
105C2×D3×D4—21no—
106C22×D12C22×C312yes—
107C2×C3×SD16—31no—
108C2×C3×SD16—32no—
109C22×C3×C8—32no—
110C3×C4⋊Q8—21no—
111C3×C4⋊Q8C2×D311yescharacteristic, complemented
112C3×C4⋊Q8C22×C311yescharacteristic, complemented
113C3×#127—31no—
114C3×#125—22no—
115C3×#125—21no—
116C3×#125—21no—
117C3×C22⋊Q8—24no—
118C3×C22⋊Q8—22no—
119C3×C22⋊Q8—22no—
120C3×C22⋊Q8—22no—
121C3×C22⋊Q8C2×D312yescomplemented
122C3×C22⋊Q8C22×C312yescomplemented
123C3×#121—32no—
124C3×#121—61no—
125C3×#120—62no—
126C3×C4×Q8—21no—
127C3×C4×Q8C2×D311yescharacteristic, complemented
128C3×C4×Q8C22×C311yescharacteristic, complemented
129C3×C4×D4—22no—
130C3×C4×D4—21no—
131C3×C4×D4—21no—
132C3×C4×D4—21no—
133C3×C4×D4—31no—
134C3×C4×D4C2×D311yescharacteristic
135C3×C4×D4C22×C311yescharacteristic
136C2×C3×C4⋊C4—22no—
137C2×C3×C4⋊C4C2×D312yescomplemented
138C2×C3×C4⋊C4C22×C312yescomplemented
139C2×#215C22×C311yescharacteristic
140C2×#215C22×C312yescomplemented
141#930C22×C312yes—
142C22×C3⋊C8C22×C312yescomplemented
143#895—21no—
144#882—22no—
145#874C22×C311yescharacteristic
146C4×D12C22×C311yescharacteristic
147C3×#106—31no—
148C3×#106—32no—
149C3×C4⋊C8—31no—
150C3×#103—31no—
151C3×#102—31no—
152C3×#102—32no—
153C3×#102—32no—
154C3×#102—32no—
155C3×#102—32no—
156C3×C22⋊C8—32no—
157C3×C4×C8—31no—
158#835C22×C311yescharacteristic, complemented
159#830C22×C312yescomplemented
160#809C22×C311yescharacteristic
161#809C22×C312yes—
162#809C22×C312yescomplemented
163#809C22×C312yescomplemented
164#809C22×C312yescomplemented
165#808C22×C311yescharacteristic, complemented
166#808C22×C312yescomplemented
167C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
168C4×C3⋊C8C22×C311yescharacteristic, complemented
169C23×C32C2×D412yes—
170C22×C3×D3—21no—
171C22×C3×D3—22no—
172C22×C3×D3—44no—
173C22×C3×D3—44no—
174C22×C3×D3—82no—
175C32×Q8—21no—
176C32×Q8—21no—
177C32×Q8—81no—
178C32×D4SD1614yescomplemented
179C2×C32×C4—21no—
180C2×C32×C4—21no—
181C2×C32×C4—22no—
182C2×C32×C4—22no—
183C2×C32×C4—22no—
184C2×C32×C4—82no—
185C2×C32×C4C2×D411yescharacteristic
186C2×C32×C4C2×D412yes—
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4C2411yescharacteristic
189C3×#67—44no—
190C2×C3×Dic3—21no—
191C3×D12—22no—
192C3×D12—21no—
193C3×D12—22no—
194C3×D12—44no—
195C3×D12—42no—
196C3×D12—81no—
197C3×D12#4112yes—
198C3×C4×D3—42no—
199C3×C3⋊C8—21no—
200C3×C3⋊C8—21no—
201C3×C3⋊C8—22no—
202#554C3×D311yescharacteristic, complemented
203D42—31no—
204#486—31no—
205#481—32no—
206#476—31no—
207#465—32no—
208#460—31no—
209#450—32no—
210C4×SD16—31no—
211C8×D4—31no—
212C2×#102—32no—
213C24×C3—62no—
214C23×D3—22no—
215C2×C3×Q8—22no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8C22×D311yescharacteristic
220C2×C3×Q8C23×C311yescharacteristic
221C2×C3×D4—21no—
222C2×C3×D4—31no—
223C2×C3×D4—32no—
224C2×C3×D4—64no—
225C2×C3×D4—62no—
226C2×C3×D4—62no—
227C2×C3×D4—61no—
228C2×C3×D4—61no—
229C2×C3×D4—122no—
230C2×C3×D4—124no—
231C2×C3×D4#6711yescharacteristic
232C2×C3×D4C3×D411yescharacteristic
233C22×C3×C4—24no—
234C22×C3×C4—22no—
235C22×C3×C4—22no—
236C22×C3×C4—22no—
237C22×C3×C4—61no—
238C22×C3×C4C22×D312yes—
239C22×C3×C4C23×C312yes—
240C2×#67—22no—
241D3×D4—44no—
242C2×D12—24no—
243C2×D12—21no—
244C2×D12—22no—
245C2×D12—21no—
246C2×D12—42no—
247C2×D12C23×C312yes—
248C2×D12C23×C311yescharacteristic
249C2×C4×D3—21no—
250C3×SD16—62no—
251C3×SD16—122no—
252C2×C3×C8—31no—
253C2×C3×C8—31no—
254C2×C3×C8—32no—
255C2×C3×C8—122no—
256C3×C4⋊C4—24no—
257C3×C4⋊C4—22no—
258C3×C4⋊C4—22no—
259C3×C4⋊C4—24no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—22no—
264C3×C4⋊C4—22no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4—31no—
272C3×C4⋊C4#6711yescharacteristic
273C3×C4⋊C4C3×D411yescharacteristic
274C3×C4⋊C4C22×D311yescharacteristic
275C3×C4⋊C4C22×D312yes—
276C3×C4⋊C4C23×C311yescharacteristic
277C3×C4⋊C4C23×C312yes—
278C3×C22⋊C4—24no—
279C3×C22⋊C4—22no—
280C3×C22⋊C4—22no—
281C3×C22⋊C4—22no—
282C3×C22⋊C4—61no—
283C3×C22⋊C4—62no—
284C3×C22⋊C4#6712yes—
285C3×C22⋊C4C3×D412yes—
286C3×C42—22no—
287C3×C42—21no—
288C3×C42—21no—
289C3×C42—21no—
290C3×C42C22×D311yescharacteristic
291C3×C42C23×C311yescharacteristic
292#215—22no—
293#215—42no—
294(C2×D3)⋊C4—21no—
295(C2×D3)⋊C4—22no—
296C4⋊Dic3C23×C311yescharacteristic
297C2×C3⋊C8—42no—
298C2×C3⋊C8C23×C311yescharacteristic
299C2×C3⋊C8C23×C311yescharacteristic
300C2×C3⋊C8C23×C312yes—
301C22×C32—22no—
302C22×C32—22no—
303C22×C32C2×SD1614yes—
304C22×C32C22×D411yescharacteristic
305C2×C3×D3—22no—
306C2×C3×D3—41no—
307C2×C3×D3—41no—
308C2×C3×D3—42no—
309C2×C3×D3—42no—
310C2×C3×D3—42no—
311C2×C3×D3—88no—
312C32×C4—22no—
313C32×C4—21no—
314C32×C4—41no—
315C32×C4—41no—
316C32×C4—42no—
317C32×C4C2×SD1612yes—
318C32×C4C2×#4111yescharacteristic
319C32×C4H(5,𝔽2)11yescharacteristic
320C3×Dic3—41no—
321C22×D4—32no—
322C22×D4—61no—
323C2×SD16—31no—
324C2×SD16—32no—
325C22×C8—32no—
326C4⋊Q8C2×C3×D311yescharacteristic, complemented
327#127—31no—
328#125—21no—
329C22⋊Q8—22no—
330C22⋊Q8C2×C3×D312yescomplemented
331#121—32no—
332#121—61no—
333#120—62no—
334C4×Q8C2×C3×D311yescharacteristic, complemented
335C4×D4—21no—
336C4×D4—31no—
337C4×D4C2×C3×D311yescharacteristic
338C2×C4⋊C4C2×C3×D312yescomplemented
339#106—31no—
340#106—32no—
341C4⋊C8—31no—
342#103—31no—
343#102—31no—
344#102—32no—
345#102—32no—
346#102—32no—
347#102—32no—
348C22⋊C8—32no—
349C4×C8—31no—
350C23×C3—22no—
351C23×C3—61no—
352C23×C3—62no—
353C23×C3—124no—
354C23×C3—124no—
355C23×C3—242no—
356C23×C3C2×#6712yes—
357C23×C3C2×C3×D412yes—
358C22×D3—21no—
359C22×D3—22no—
360C22×D3—44no—
361C22×D3—44no—
362C22×D3—82no—
363C3×Q8—21no—
364C3×Q8—21no—
365C3×Q8—21no—
366C3×Q8—21no—
367C3×Q8—41no—
368C3×Q8—41no—
369C3×Q8—81no—
370C3×Q8—81no—
371C3×Q8—82no—
372C3×D4—24no—
373C3×D4—32no—
374C3×D4—62no—
375C3×D4—61no—
376C3×D4—62no—
377C3×D4—124no—
378C3×D4—124no—
379C3×D4—122no—
380C3×D4—241no—
381C3×D4#21514yescomplemented
382C3×D4C3×SD1614yescomplemented
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—24no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—42no—
401C2×C3×C4—42no—
402C2×C3×C4—61no—
403C2×C3×C4—82no—
404C2×C3×C4—82no—
405C2×C3×C4—84no—
406C2×C3×C4—122no—
407C2×C3×C4C2×#6711yescharacteristic
408C2×C3×C4C2×#6712yes—
409C2×C3×C4C2×#6711yescharacteristic
410C2×C3×C4C2×C3×D411yescharacteristic
411C2×C3×C4C2×C3×D412yes—
412C2×C3×C4C2×C3×D411yescharacteristic
413C2×C3×C4C23×D311yescharacteristic
414C2×C3×C4C24×C311yescharacteristic
415#67—44no—
416C2×Dic3—21no—
417D12—22no—
418D12—21no—
419D12—22no—
420D12—44no—
421D12—42no—
422D12—81no—
423D12C3×#4112yes—
424C4×D3—42no—
425C3×C8—61no—
426C3×C8—61no—
427C3×C8—62no—
428C3⋊C8—21no—
429C3⋊C8—21no—
430C3⋊C8—22no—
431C2×C32—24no—
432C2×C32#54611yescharacteristic
433C2×C32C22×SD1611yescharacteristic
434C2×C32#57611yescharacteristic
435C3×D3—42no—
436C3×D3—82no—
437C24—62no—
438C2×Q8—21no—
439C2×Q8C22×C3×D311yescharacteristic
440C2×D4—31no—
441C2×D4—32no—
442C2×D4—64no—
443C2×D4—62no—
444C2×D4—62no—
445C2×D4—61no—
446C2×D4—61no—
447C2×D4—122no—
448C2×D4—124no—
449C2×D4C3×#6711yescharacteristic
450C22×C4—22no—
451C22×C4—61no—
452C22×C4C22×C3×D312yes—
453SD16—62no—
454SD16—122no—
455C2×C8—31no—
456C2×C8—31no—
457C2×C8—32no—
458C2×C8—122no—
459C4⋊C4—22no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—22no—
463C4⋊C4—31no—
464C4⋊C4C3×#6711yescharacteristic
465C4⋊C4C22×C3×D311yescharacteristic
466C4⋊C4C22×C3×D312yes—
467C22⋊C4—22no—
468C22⋊C4—61no—
469C22⋊C4—62no—
470C22⋊C4C3×#6712yes—
471C42—21no—
472C42C22×C3×D311yescharacteristic
473C22×C3—22no—
474C22×C3—22no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—24no—
478C22×C3—21no—
479C22×C3—42no—
480C22×C3—42no—
481C22×C3—62no—
482C22×C3—121no—
483C22×C3—121no—
484C22×C3—122no—
485C22×C3—122no—
486C22×C3—122no—
487C22×C3—248no—
488C22×C3C2×#21514yes—
489C22×C3C2×C3×SD1614yes—
490C22×C3C22×#6711yescharacteristic
491C22×C3C22×C3×D411yescharacteristic
492C2×D3—22no—
493C2×D3—41no—
494C2×D3—41no—
495C2×D3—42no—
496C2×D3—42no—
497C2×D3—42no—
498C2×D3—88no—
499C3×C4—21no—
500C3×C4—22no—
501C3×C4—21no—
502C3×C4—22no—
503C3×C4—22no—
504C3×C4—21no—
505C3×C4—21no—
506C3×C4—42no—
507C3×C4—41no—
508C3×C4—42no—
509C3×C4—44no—
510C3×C4—42no—
511C3×C4—41no—
512C3×C4—42no—
513C3×C4—41no—
514C3×C4—41no—
515C3×C4—42no—
516C3×C4—41no—
517C3×C4—121no—
518C3×C4C2×#21512yes—
519C3×C4C2×C3×SD1612yes—
520C3×C4D3×#4111yescharacteristic
521C3×C4#100911yescharacteristic
522C3×C4C2×C3×#4111yescharacteristic
523C3×C4C3×H(5,𝔽2)11yescharacteristic
524Dic3—41no—
525C32#329511yescharacteristic, complemented, Sylow
526C23—61no—
527C23—62no—
528C23—124no—
529C23—124no—
530C23—242no—
531C23C2×C3×#6712yes—
532Q8—21no—
533Q8—21no—
534Q8—81no—
535D4—32no—
536D4—62no—
537D4—61no—
538D4—62no—
539D4—124no—
540D4—124no—
541D4—122no—
542D4—241no—
543D4C3×#21514yescomplemented
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—61no—
550C2×C4—82no—
551C2×C4—122no—
552C2×C4C2×C3×#6711yescharacteristic
553C2×C4C2×C3×#6712yes—
554C2×C4C2×C3×#6711yescharacteristic
555C2×C4C23×C3×D311yescharacteristic
556C8—61no—
557C8—61no—
558C8—62no—
559C2×C3—24no—
560C2×C3—24no—
561C2×C3—21no—
562C2×C3—21no—
563C2×C3—21no—
564C2×C3—44no—
565C2×C3—122no—
566C2×C3—242no—
567C2×C3C22×#21511yescharacteristic
568C2×C3#582911yescharacteristic
569C2×C3#583511yescharacteristic
570C2×C3C3×#54611yescharacteristic
571C2×C3C22×C3×SD1611yescharacteristic
572C2×C3C3×#57611yescharacteristic
573D3—42no—
574D3—82no—
575C22—22no—
576C22—22no—
577C22—62no—
578C22—121no—
579C22—121no—
580C22—122no—
581C22—122no—
582C22—122no—
583C22—248no—
584C22C2×C3×#21514yes—
585C22C22×C3×#6711yescharacteristic
586C4—22no—
587C4—21no—
588C4—41no—
589C4—41no—
590C4—42no—
591C4—121no—
592C4C2×C3×#21512yes—
593C4C3×D3×#4111yescharacteristic
594C4C3×#100911yescharacteristic
595C3—21no—
596C3#8363411yescharacteristic, direct product factor
597C3C3×#329511yescharacteristic, complemented
598C2—24no—
599C2—122no—
600C2—242no—
601C2C22×C3×#21511yescharacteristic
602C2C3×#582911yescharacteristic
603C2C3×#583511yescharacteristic
subgroupG/H
centerC22×C3C22×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#554C2
socleC22×C32C22×D4
prime radicalC3×D4×D12C2
hypercenterC3×#554D3
hypocenterC3C3×#3295
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C4×D4 ◁ C3×#554

Complements

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

NH ≅ G/Ntype
1. C32×#554C2semidirect
3. C3×#5088C2semidirect
4. C3×#5084C2semidirect
5. C3×#5048C2semidirect
6. C3×#5046C2semidirect
7. C3×#5027C2semidirect
8. C3×C4×#215C2semidirect
9. C3×D4×C3⋊C8C2semidirect
10. C3×#4968C2semidirect
11. C2×C3×#809C2semidirect
13. #83634C3direct (N × H)
16. C32×C4⋊Q8C22semidirect
19. C32×C22⋊Q8C22semidirect
20. C32×C4×Q8C22semidirect
23. C2×C32×C4⋊C4C22semidirect
25. C2×C3×#215C22semidirect
27. C22×C3×C3⋊C8C22semidirect
32. C3×#835C22semidirect
33. C3×#830C22semidirect
36. C3×#809C22semidirect
37. C3×#809C22semidirect
38. C3×#809C22semidirect
39. C3×#808C22semidirect
40. C3×#808C22semidirect
41. C3×C4⋊(C3⋊C8)C22semidirect
42. C3×C4×C3⋊C8C22semidirect
44. C3×#554D3semidirect
45. C3×#554C2×C3semidirect
57. #5088C2×C3semidirect
58. #5084C2×C3semidirect
59. #5048C2×C3semidirect
60. #5046C2×C3semidirect
61. #5027C2×C3semidirect
62. C4×#215C2×C3semidirect
63. D4×C3⋊C8C2×C3semidirect
64. #4968C2×C3semidirect
65. C2×#809C2×C3semidirect
111. C3×C4⋊Q8C2×D3semidirect
112. C3×C4⋊Q8C22×C3semidirect
121. C3×C22⋊Q8C2×D3semidirect
122. C3×C22⋊Q8C22×C3semidirect
127. C3×C4×Q8C2×D3semidirect
128. C3×C4×Q8C22×C3semidirect
137. C2×C3×C4⋊C4C2×D3semidirect
138. C2×C3×C4⋊C4C22×C3semidirect
140. C2×#215C22×C3semidirect
142. C22×C3⋊C8C22×C3semidirect
158. #835C22×C3semidirect
159. #830C22×C3semidirect
162. #809C22×C3semidirect
163. #809C22×C3semidirect
164. #809C22×C3semidirect
165. #808C22×C3semidirect
166. #808C22×C3semidirect
167. C4⋊(C3⋊C8)C22×C3semidirect
168. C4×C3⋊C8C22×C3semidirect
178. C32×D4SD16semidirect
202. #554C3×D3semidirect
326. C4⋊Q8C2×C3×D3semidirect
330. C22⋊Q8C2×C3×D3semidirect
334. C4×Q8C2×C3×D3semidirect
338. C2×C4⋊C4C2×C3×D3semidirect
381. C3×D4#215semidirect
382. C3×D4C3×SD16semidirect
525. C32#3295semidirect
543. D4C3×#215semidirect
596. C3#83634direct (N × H)
597. C3C3×#3295semidirect

Maximal subgroups

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

subgroupindex
C32×#5542
C3×D4×D122
C3×#50882
C3×#50842
C3×#50482
C3×#50462
C3×#50272
C3×C4×#2152
C3×D4×C3⋊C82
C3×#49682
C2×C3×#8092
C3×#32953
#836343