Finite Group Databasebeta

← D3×#4719 #11858746

Subgroups — D3×#4719 #11858746

Order 1152.

1031 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×Dic3C211yesmaximal, characteristic
2#10592418C211yesmaximal, characteristic, complemented
3C3×D3×C22⋊C8C211yesmaximal, characteristic
4C3×#4719C211yesmaximal, characteristic, complemented
5D3×#830C211yesmaximal, characteristic
6#10591066C211yesmaximal, characteristic, complemented
7#10591063C211yesmaximal, characteristic, complemented
8#10590661C212yesmaximal, complemented
9#10590660C212yesmaximal, complemented
10D3×#815C212yesmaximal, complemented
11D3×Dic3⋊C8C212yesmaximal, complemented
12D3×#432—31nomaximal
13C2×#4719—31nomaximal
14C22×C3×C4×D3C2211yescharacteristic
15C22×D3×Dic3C411yescharacteristic
16C22×D3×Dic3C411yescharacteristic
17C2×C4×C3⋊Dic3C2211yescharacteristic
18C2×C3×C4×Dic3C2211yescharacteristic
19C2×C3×D3×C8C2212yes—
20C2×Dic32C411yescharacteristic
21C2×Dic32C411yescharacteristic
22C4×D3×Dic3C411yescharacteristic
23C4×D3×Dic3C411yescharacteristic
24C4×D3×Dic3C411yescharacteristic
25C4×D3×Dic3C411yescharacteristic
26C4×D3×Dic3C2211yescharacteristic
27C4×D3×Dic3C2211yescharacteristic
28C4×D3×Dic3C2211yescharacteristic
29C4×D3×Dic3C2211yescharacteristic
30C2×D3×C3⋊C8C2212yes—
31C32×C22⋊C8C2211yescharacteristic
32#63657C2211yescharacteristic
33#63642C2212yescomplemented
34#63641C2212yescomplemented
35C3×#830C2211yescharacteristic
36C3×#830C2211yescharacteristic
37C3×(C2×D3)⋊C8C2212yes—
38C3×#815C2212yescomplemented
39C3×Dic3⋊C8C2212yescomplemented
40#63572C2212yescomplemented
41Dic3⋊(C3⋊C8)C2212yescomplemented
42(C2×D3)⋊(C3⋊C8)C2212yes—
43#63555C2212yescomplemented
44#63554C2212yescomplemented
45C22×C4×Dic3—31no—
46C2×C42×D3—31no—
47C3×#432—31no—
48C2×C3×C22⋊C8—31no—
49C2×#830—31no—
50C2×#815—32no—
51C2×Dic3⋊C8—32no—
52#4926—31no—
53#4835—32no—
54D3×C4⋊C8—32no—
55D3×C22⋊C8—31no—
56D3×C22⋊C8D311yescharacteristic
57#4719—31no—
58#4719—31no—
59#4719—31no—
60#4719—31no—
61#4719—31no—
62#4719—32no—
63#4719—32no—
64#4719—61no—
65#4719D311yescharacteristic, direct product factor
66#4705—32no—
67D3×#97—32no—
68C23×C3×D3C2×C411yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C22×C3⋊Dic3C2×C411yescharacteristic
71C22×C3⋊Dic3C2×C411yescharacteristic
72C22×C3×Dic3C2×C411yescharacteristic
73C22×C3×Dic3C2×C411yescharacteristic
74C22×C3×Dic3C2×C411yescharacteristic
75C2×C3×C4×D3—24no—
76C2×C3×C4×D3C2×C411yescharacteristic
77C2×C3×C4×D3C2×C411yescharacteristic
78C2×C3×C4×D3C2311yescharacteristic
79C2×C3×C4×D3C2311yescharacteristic
80C2×D3×Dic3—24no—
81C2×D3×Dic3—24no—
82C2×D3×Dic3C2×C411yescharacteristic
83C2×D3×Dic3C2×C411yescharacteristic
84C2×D3×Dic3C2×C411yescharacteristic
85C2×D3×Dic3C2×C411yescharacteristic
86C2×D3×Dic3C2×C411yescharacteristic
87C2×D3×Dic3C2×C411yescharacteristic
88C2×D3×Dic3C2×C411yescharacteristic
89C2×D3×Dic3C2×C411yescharacteristic
90C2×C32×C8C2312yes—
91C4×C3⋊Dic3C2×C411yescharacteristic
92C4×C3⋊Dic3C2×C411yescharacteristic
93C4×C3⋊Dic3C2311yescharacteristic
94C4×C3⋊Dic3C2311yescharacteristic
95C2×C3⋊(C3⋊C8)C2312yes—
96C3×C4×Dic3C2×C411yescharacteristic
97C3×C4×Dic3C2×C411yescharacteristic
98C3×C4×Dic3C2311yescharacteristic
99C3×C4×Dic3C2311yescharacteristic
100C2×C3×C3⋊C8C2312yes—
101C2×C3×C3⋊C8C2312yes—
102C3×D3×C8—24no—
103Dic32C2×C411yescharacteristic
104Dic32C2×C411yescharacteristic
105Dic32C2×C411yescharacteristic
106Dic32C2×C411yescharacteristic
107Dic32C2×C411yescharacteristic
108Dic32C2×C411yescharacteristic
109Dic32C2×C411yescharacteristic
110Dic32C2×C411yescharacteristic
111D3×C3⋊C8—24no—
112C2×#432—91noSylow
113C23×C3×C4—31no—
114C23×Dic3—31no—
115C23×Dic3—31no—
116C22×C4×D3—31no—
117C22×C4×D3—31no—
118C22×C4×D3C2×D311yescharacteristic
119C22×C3×C8—32no—
120C2×C3×C42—31no—
121C2×C4×Dic3—31no—
122C2×C4×Dic3—31no—
123C2×C4×Dic3—31no—
124C2×C4×Dic3—31no—
125C2×C4×Dic3—31no—
126C2×C4×Dic3—31no—
127C2×C4×Dic3—31no—
128C2×C4×Dic3—31no—
129C2×C4×Dic3—31no—
130C2×C4×Dic3—31no—
131C2×C4×Dic3—31no—
132C2×C4×Dic3—31no—
133C2×C4×Dic3—31no—
134C2×C4×Dic3—31no—
135C2×C4×Dic3—61no—
136C2×C4×Dic3C2×D311yescharacteristic
137C22×C3⋊C8—32no—
138C2×D3×C8—32no—
139C2×D3×C8C2×D312yes—
140C42×D3—31no—
141C42×D3—31no—
142C42×D3—31no—
143C42×D3—31no—
144C42×D3—31no—
145C42×D3—31no—
146C42×D3—31no—
147C42×D3—31no—
148C3×C4⋊C8—32no—
149C3×C22⋊C8—21no—
150C3×C22⋊C8—31no—
151C3×C22⋊C8—31no—
152C3×C22⋊C8—32no—
153C3×C22⋊C8C2×D311yescharacteristic
154C3×C22⋊C8C2×D311yescharacteristic
155C3×#97—32no—
156#830—31no—
157#830—31no—
158#830—32no—
159#830—61no—
160#830C2×D311yescharacteristic
161#830C2×D311yescharacteristic
162(C2×D3)⋊C8—32no—
163(C2×D3)⋊C8C2×D312yes—
164#815—32no—
165#815—32no—
166#815—32no—
167#815—32no—
168#815—32no—
169#815—62no—
170#815C2×D312yescomplemented
171Dic3⋊C8—32no—
172Dic3⋊C8—32no—
173Dic3⋊C8—32no—
174Dic3⋊C8—32no—
175Dic3⋊C8—32no—
176Dic3⋊C8—62no—
177Dic3⋊C8C2×D312yescomplemented
178C4⋊(C3⋊C8)—32no—
179#803—32no—
180C23×C32C22×C411yescharacteristic
181C22×C3×D3—22no—
182C22×C3×D3—22no—
183C22×C3×D3M1614yes—
184C22×C3×D3C22×C411yescharacteristic
185C22×C3×D3C22×C411yescharacteristic
186C2×C32×C4—22no—
187C2×C32×C4C22×C411yescharacteristic
188C2×C32×C4C2411yescharacteristic
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3C22×C411yescharacteristic
192C2×C3⋊Dic3C22×C411yescharacteristic
193C2×C3⋊Dic3C22×C411yescharacteristic
194C2×C3⋊Dic3C22×C411yescharacteristic
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3C22×C411yescharacteristic
199C2×C3×Dic3C22×C411yescharacteristic
200C2×C3×Dic3C22×C411yescharacteristic
201C2×C3×Dic3C22×C411yescharacteristic
202C2×C3×Dic3C22×C411yescharacteristic
203C2×C3×Dic3C22×C411yescharacteristic
204C3×C4×D3—22no—
205C3×C4×D3—22no—
206C3×C4×D3—22no—
207C3×C4×D3#4114yes—
208D3×Dic3—22no—
209D3×Dic3—22no—
210D3×Dic3—22no—
211D3×Dic3—22no—
212D3×Dic3—22no—
213D3×Dic3—22no—
214D3×Dic3—22no—
215D3×Dic3M1614yes—
216C32×C8—22no—
217C3⋊(C3⋊C8)—22no—
218C3×C3⋊C8—22no—
219C3×C3⋊C8—22no—
220C22×C42—91no—
221#432—31no—
222#432—92no—
223#432—91no—
224#432—92no—
225#432—91no—
226#432—91no—
227C2×C4⋊C8—92no—
228C2×C22⋊C8—31no—
229C2×C22⋊C8—91no—
230C2×#97—92no—
231C24×C3—31no—
232C23×D3C4×D311yescharacteristic
233C22×C3×C4—21no—
234C22×C3×C4—31no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—31no—
238C22×C3×C4—31no—
239C22×C3×C4—31no—
240C22×C3×C4—31no—
241C22×C3×C4—64no—
242C22×C3×C4C22×D311yescharacteristic
243C22×C3×C4C22×D311yescharacteristic
244C22×Dic3—31no—
245C22×Dic3—31no—
246C22×Dic3—31no—
247C22×Dic3—31no—
248C22×Dic3—31no—
249C22×Dic3—31no—
250C22×Dic3—31no—
251C22×Dic3—31no—
252C22×Dic3—31no—
253C22×Dic3—31no—
254C22×Dic3—31no—
255C22×Dic3—31no—
256C22×Dic3—61no—
257C22×Dic3—61no—
258C22×Dic3—64no—
259C22×Dic3—64no—
260C22×Dic3C4×D311yescharacteristic
261C22×Dic3C4×D311yescharacteristic
262C22×Dic3C4×D311yescharacteristic
263C2×C4×D3—24no—
264C2×C4×D3—31no—
265C2×C4×D3—31no—
266C2×C4×D3—31no—
267C2×C4×D3—31no—
268C2×C4×D3—31no—
269C2×C4×D3—31no—
270C2×C4×D3—31no—
271C2×C4×D3—31no—
272C2×C4×D3—64no—
273C2×C4×D3—64no—
274C2×C4×D3C4×D311yescharacteristic
275C2×C4×D3C4×D311yescharacteristic
276C2×C4×D3C22×D311yescharacteristic
277C2×C4×D3C22×D311yescharacteristic
278C2×C3×C8—22no—
279C2×C3×C8—32no—
280C2×C3×C8—32no—
281C2×C3×C8—64no—
282C2×C3×C8C22×D312yes—
283C2×C3×C8C22×D312yes—
284C3×C42—31no—
285C3×C42—31no—
286C3×C42—31no—
287C3×C42—31no—
288C4×Dic3—31no—
289C4×Dic3—31no—
290C4×Dic3—31no—
291C4×Dic3—31no—
292C4×Dic3—31no—
293C4×Dic3—31no—
294C4×Dic3—31no—
295C4×Dic3—31no—
296C4×Dic3—31no—
297C4×Dic3—31no—
298C4×Dic3—31no—
299C4×Dic3—31no—
300C4×Dic3—31no—
301C4×Dic3—31no—
302C4×Dic3—31no—
303C4×Dic3—31no—
304C4×Dic3—31no—
305C4×Dic3—31no—
306C4×Dic3—31no—
307C4×Dic3—31no—
308C4×Dic3—31no—
309C4×Dic3—31no—
310C4×Dic3—31no—
311C4×Dic3—31no—
312C4×Dic3—61no—
313C4×Dic3—61no—
314C4×Dic3—61no—
315C4×Dic3—61no—
316C4×Dic3C4×D311yescharacteristic
317C4×Dic3C4×D311yescharacteristic
318C4×Dic3C22×D311yescharacteristic
319C4×Dic3C22×D311yescharacteristic
320C2×C3⋊C8—32no—
321C2×C3⋊C8—32no—
322C2×C3⋊C8—62no—
323C2×C3⋊C8—64no—
324C2×C3⋊C8C22×D312yes—
325C2×C3⋊C8C22×D312yes—
326D3×C8—24no—
327D3×C8—64no—
328C22×C32—21no—
329C22×C32—21no—
330C22×C32C2×M1612yes—
331C22×C32C23×C411yescharacteristic
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—28no—
335C2×C3×D3#11712yes—
336C2×C3×D3C2×M1612yes—
337C2×C3×D3C2×M1612yes—
338C2×C3×D3C2×M1612yes—
339C32×C4—21no—
340C32×C4C2×#4112yes—
341C3⋊Dic3—21no—
342C3⋊Dic3—21no—
343C3⋊Dic3—21no—
344C3⋊Dic3C2×M1612yes—
345C3×Dic3—21no—
346C3×Dic3—21no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3#11712yes—
350C3×Dic3C2×M1612yes—
351C23×C4—31no—
352C23×C4—91no—
353C23×C4—91no—
354C22×C8—32no—
355C22×C8—92no—
356C2×C42—31no—
357C2×C42—91no—
358C2×C42—91no—
359C2×C42—91no—
360C2×C42—91no—
361C2×C42—91no—
362C2×C42—91no—
363C2×C42—91no—
364C2×C42—91no—
365C2×C42—91no—
366C2×C42—91no—
367C2×C42—91no—
368C4⋊C8—32no—
369C4⋊C8—92no—
370C4⋊C8—92no—
371C4⋊C8—92no—
372C22⋊C8—31no—
373C22⋊C8—31no—
374C22⋊C8—32no—
375C22⋊C8—92no—
376C22⋊C8—91no—
377C22⋊C8D3211yescharacteristic
378#97—32no—
379#97—92no—
380#97—92no—
381#97—92no—
382C23×C3—21no—
383C23×C3—31no—
384C23×C3—34no—
385C23×C3—31no—
386C23×C3—62no—
387C23×C3—62no—
388C23×C3C2×C4×D311yescharacteristic
389C23×C3C2×C4×D311yescharacteristic
390C22×D3—22no—
391C22×D3—22no—
392C22×D3ΓL(1,𝔽25)14yes—
393C22×D3C2×C4×D311yescharacteristic
394C22×D3C2×C4×D311yescharacteristic
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—31no—
400C2×C3×C4—31no—
401C2×C3×C4—34no—
402C2×C3×C4—31no—
403C2×C3×C4—31no—
404C2×C3×C4—31no—
405C2×C3×C4—31no—
406C2×C3×C4—42no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4C2×C4×D311yescharacteristic
414C2×C3×C4C2×C4×D311yescharacteristic
415C2×C3×C4C23×D311yescharacteristic
416C2×C3×C4C23×D311yescharacteristic
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—31no—
421C2×Dic3—31no—
422C2×Dic3—34no—
423C2×Dic3—31no—
424C2×Dic3—31no—
425C2×Dic3—31no—
426C2×Dic3—31no—
427C2×Dic3—31no—
428C2×Dic3—31no—
429C2×Dic3—61no—
430C2×Dic3—61no—
431C2×Dic3—61no—
432C2×Dic3—61no—
433C2×Dic3—62no—
434C2×Dic3—62no—
435C2×Dic3—62no—
436C2×Dic3—62no—
437C2×Dic3—62no—
438C2×Dic3—62no—
439C2×Dic3—62no—
440C2×Dic3—62no—
441C2×Dic3—62no—
442C2×Dic3—62no—
443C2×Dic3—62no—
444C2×Dic3—122no—
445C2×Dic3—122no—
446C2×Dic3C2×C4×D311yescharacteristic
447C2×Dic3C2×C4×D311yescharacteristic
448C2×Dic3C2×C4×D311yescharacteristic
449C2×Dic3C2×C4×D311yescharacteristic
450C2×Dic3C2×C4×D311yescharacteristic
451C2×Dic3C2×C4×D311yescharacteristic
452C4×D3—22no—
453C4×D3—22no—
454C4×D3—22no—
455C4×D3—34no—
456C4×D3—62no—
457C4×D3—62no—
458C4×D3—62no—
459C4×D3—62no—
460C4×D3—62no—
461C4×D3—62no—
462C4×D3—62no—
463C4×D3#23714yes—
464C3×C8—22no—
465C3×C8—22no—
466C3×C8—42no—
467C3×C8—62no—
468C3×C8—62no—
469C3⋊C8—22no—
470C3⋊C8—22no—
471C3⋊C8—62no—
472C3⋊C8—62no—
473C3⋊C8—122no—
474C2×C32—22no—
475C2×C32C2×#11711yescharacteristic
476C2×C32C22×M1611yescharacteristic
477C2×C32C22×M1611yescharacteristic
478C3×D3—22no—
479C3×D3#43214yescomplemented
480C24—31no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—31no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—64no—
489C22×C4—91no—
490C22×C4—91no—
491C22×C4—91no—
492C22×C4—91no—
493C22×C4—91no—
494C22×C4—91no—
495C22×C4—91no—
496C22×C4—91no—
497C22×C4—91no—
498C22×C4—91no—
499C22×C4—184no—
500C22×C4—184no—
501C22×C4C2×D3211yescharacteristic
502C2×C8—32no—
503C2×C8—32no—
504C2×C8—64no—
505C2×C8—92no—
506C2×C8—184no—
507C2×C8C2×D3212yes—
508C42—31no—
509C42—31no—
510C42—31no—
511C42—31no—
512C42—91no—
513C42—91no—
514C42—91no—
515C42—91no—
516C42—91no—
517C42—91no—
518C42—91no—
519C42—91no—
520C42—91no—
521C42—91no—
522C42—91no—
523C42—91no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—21no—
527C22×C3—21no—
528C22×C3—22no—
529C22×C3—21no—
530C22×C3—32no—
531C22×C3—32no—
532C22×C3—32no—
533C22×C3—32no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—68no—
537C22×C3—61no—
538C22×C3—61no—
539C22×C3C2×ΓL(1,𝔽25)12yes—
540C22×C3D3×M1612yes—
541C22×C3C22×C4×D311yescharacteristic
542C22×C3C22×C4×D311yescharacteristic
543C2×D3—21no—
544C2×D3—21no—
545C2×D3—28no—
546C2×D3#87712yes—
547C2×D3C2×ΓL(1,𝔽25)12yes—
548C2×D3C2×ΓL(1,𝔽25)12yes—
549C2×D3D3×M1612yes—
550C3×C4—21no—
551C3×C4—21no—
552C3×C4—22no—
553C3×C4—32no—
554C3×C4—32no—
555C3×C4—41no—
556C3×C4—61no—
557C3×C4—61no—
558C3×C4—61no—
559C3×C4—61no—
560C3×C4C2×#23712yes—
561C3×C4D3×#4112yes—
562Dic3—21no—
563Dic3—21no—
564Dic3—21no—
565Dic3—21no—
566Dic3—32no—
567Dic3—32no—
568Dic3—62no—
569Dic3—61no—
570Dic3—61no—
571Dic3—61no—
572Dic3—61no—
573Dic3—61no—
574Dic3—61no—
575Dic3—121no—
576Dic3—121no—
577Dic3—121no—
578Dic3#87712yes—
579Dic3D3×M1612yes—
580C32C2×#43211yescharacteristic, complemented, Sylow
581C23—31no—
582C23—34no—
583C23—31no—
584C23—62no—
585C23—62no—
586C23C4×D3211yescharacteristic
587C2×C4—22no—
588C2×C4—31no—
589C2×C4—31no—
590C2×C4—34no—
591C2×C4—31no—
592C2×C4—31no—
593C2×C4—31no—
594C2×C4—31no—
595C2×C4—62no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—94no—
602C2×C4—91no—
603C2×C4—91no—
604C2×C4—91no—
605C2×C4—91no—
606C2×C4—182no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4—182no—
612C2×C4—182no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4C4×D3211yescharacteristic
616C2×C4C22×D3211yescharacteristic
617C8—22no—
618C8—62no—
619C8—62no—
620C8—182no—
621C2×C3—22no—
622C2×C3—22no—
623C2×C3—21no—
624C2×C3—21no—
625C2×C3—21no—
626C2×C3—34no—
627C2×C3—42no—
628C2×C3—62no—
629C2×C3C2×#87711yescharacteristic
630C2×C3D3×#11711yescharacteristic
631C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
632C2×C3C2×D3×M1611yescharacteristic
633C2×C3C2×D3×M1611yescharacteristic
634C2×C3C2×D3×M1611yescharacteristic
635D3—22no—
636D3#471914yesdirect product factor
637C22—21no—
638C22—21no—
639C22—32no—
640C22—32no—
641C22—32no—
642C22—32no—
643C22—68no—
644C22—61no—
645C22—61no—
646C22D3×ΓL(1,𝔽25)12yes—
647C22C2×C4×D3211yescharacteristic
648C4—21no—
649C4—32no—
650C4—32no—
651C4—61no—
652C4—61no—
653C4—61no—
654C4—61no—
655C4—92no—
656C4—181no—
657C4—181no—
658C4—181no—
659C4D3×#23712yes—
660C3—21no—
661C3C2×#471911yescharacteristic, complemented
662C3D3×#43211yescharacteristic, complemented
663C2—22no—
664C2—34no—
665C2—62no—
666C2D3×#87711yescharacteristic
667C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
668C2D32×M1611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC32×C22⋊C8C22
prime radicalC23×C3×D3C2×C4
cosocleC2×C32×C4C24
hypercenterC22⋊C8D32
hypocenterC32C2×#432
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
2. #10592418C2semidirect
4. C3×#4719C2semidirect
6. #10591066C2semidirect
7. #10591063C2semidirect
8. #10590661C2semidirect
9. #10590660C2semidirect
10. D3×#815C2semidirect
11. D3×Dic3⋊C8C2semidirect
33. #63642C22semidirect
34. #63641C22semidirect
38. C3×#815C22semidirect
39. C3×Dic3⋊C8C22semidirect
40. #63572C22semidirect
41. Dic3⋊(C3⋊C8)C22semidirect
43. #63555C22semidirect
44. #63554C22semidirect
65. #4719D3direct (N × H)
170. #815C2×D3semidirect
177. Dic3⋊C8C2×D3semidirect
479. C3×D3#432semidirect
580. C32C2×#432semidirect
636. D3#4719direct (N × H)
661. C3C2×#4719semidirect
662. C3D3×#432semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×Dic32
#105924182
C3×D3×C22⋊C82
C3×#47192
D3×#8302
#105910662
#105910632
#105906612
#105906602
D3×#8152
D3×Dic3⋊C82
D3×#4323
C2×#47193