Finite Group Databasebeta

← D32×#208 #13170481

Subgroups — D32×#208 #13170481

Order 1728.

1416 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D32C211yesmaximal, characteristic
2#11723656C211yesmaximal, characteristic, complemented
3C3⋊D3×#208C211yesmaximal, characteristic, complemented
4D3×#3748C212yesmaximal, complemented
5C3×D3×#208C212yesmaximal, complemented
6#11722816C212yesmaximal, complemented
7D3×#3711C214yesmaximal, complemented
8D32×C3⋊C8C212yesmaximal, complemented
9C2×D3×#208—32nomaximal
10D32×M16—31nomaximal
11C22×C3×D32C411yescharacteristic
12C2×C3×C4×C3⋊D3C2211yescharacteristic
13C2×C32×C4×D3C2212yes—
14C2×C3×#624C411yescharacteristic
15C2×C3×D3×Dic3C412yes—
16C3×C4×D32C411yescharacteristic
17C3×C4×D32C412yes—
18C3×C4×D32C411yescharacteristic
19C3×C4×D32C2211yescharacteristic
20C3×C4×D32C2212yes—
21C3×C4×D32C2211yescharacteristic
22#88855C2211yescharacteristic, complemented
23C3×#3748C2212yescomplemented
24C32×#208C2211yescharacteristic, complemented
25#88809C2212yescomplemented
26#88808C2212yescomplemented
27#88787C2212yescomplemented
28#88786C2214yescomplemented
29C3⋊D3×C3⋊C8C2212yescomplemented
30D3×C3⋊(C3⋊C8)C2214yescomplemented
31C3×#3711C2214yescomplemented
32C3×D3×C3⋊C8C2214yescomplemented
33C22×C3×C4×D3—32no—
34C2×C4×D32D311yescharacteristic
35C2×#3748—32no—
36M16×C3⋊D3—31no—
37C2×C3×#208—32no—
38C3×D3×M16—32no—
39C2×#3711—34no—
40#63818—31no—
41D3×#208—32no—
42D3×#208—32no—
43D3×#208—32no—
44D3×#208—32no—
45D3×#208—34no—
46D3×#208—34no—
47D3×#208—62no—
48D3×#208—61no—
49D3×#208D312yesdirect product factor
50C2×D3×C3⋊C8—34no—
51#63791—32no—
52D3×ΓL(1,𝔽25)—34no—
53D32×C8—32no—
54C22×C3×C3⋊D3C2×C411yescharacteristic
55C22×C32×D3C2×C412yes—
56C2×C3×D32—24no—
57C2×C3×D32C2×C411yescharacteristic
58C2×C3×D32C2×C412yes—
59C2×C3×D32C2×C411yescharacteristic
60C2×C33×C4C2311yescharacteristic
61C2×C3×C3⋊Dic3C2×C411yescharacteristic
62C3×C4×C3⋊D3C2×C411yescharacteristic
63C3×C4×C3⋊D3C2×C411yescharacteristic
64C3×C4×C3⋊D3C2311yescharacteristic
65C3×C4×C3⋊D3C2311yescharacteristic
66C2×C32×Dic3C2×C412yes—
67C32×C4×D3C2×C412yes—
68C32×C4×D3C2×C412yes—
69C32×C4×D3C2312yes—
70C32×C4×D3C2312yes—
71C3×#624C2×C412yes—
72C3×#624C2×C411yescharacteristic
73C3×#624C2×C411yescharacteristic
74C3×D3×Dic3C2×C412yes—
75C3×D3×Dic3C2×C412yes—
76C3×D3×Dic3C2×C412yes—
77C3×D3×Dic3C2×C412yes—
78C3⋊(C3⋊(C3⋊C8))C2312yescomplemented
79C3×C3⋊(C3⋊C8)C2314yescomplemented
80C32×C3⋊C8C2312yescomplemented
81C22×#208—91no—
82C2×D3×M16—92no—
83C23×C3×D3—32no—
84C22×D32Dic311yescharacteristic
85C22×C32×C4—32no—
86C2×C4×C3⋊D3C2×D311yescharacteristic
87C22×C3×Dic3—32no—
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3—32no—
90C2×C3×C4×D3—32no—
91C2×C3×C4×D3—32no—
92C2×C3×C4×D3—32no—
93C2×C3×C4×D3—32no—
94C2×C3×C4×D3—32no—
95C2×C3×C4×D3—32no—
96C2×C3×C4×D3—32no—
97C2×C3×C4×D3—32no—
98C2×C3×C4×D3—32no—
99C2×C3×C4×D3—32no—
100C2×C3×C4×D3—61no—
101C2×C3×C4×D3C2×D312yes—
102C2×C3×C4×D3C2×D312yes—
103C2×#624Dic311yescharacteristic
104C2×D3×Dic3Dic312yes—
105C4×D32Dic311yescharacteristic
106C4×D32Dic312yes—
107C4×D32Dic311yescharacteristic
108C4×D32C2×D311yescharacteristic
109C4×D32C2×D312yes—
110C4×D32C2×D311yescharacteristic
111C32×M16—31no—
112#3748—31no—
113#3748—32no—
114#3748—34no—
115#3748—61no—
116#3748—62no—
117#3748—121no—
118#3748C2×D312yescomplemented
119C2×C3⋊(C3⋊C8)—34no—
120#3743—32no—
121C8×C3⋊D3—32no—
122C3×#208—21no—
123C3×#208—32no—
124C3×#208—32no—
125C3×#208—34no—
126C3×#208—62no—
127C3×#208C2×D312yescomplemented
128C2×C3×C3⋊C8—34no—
129C3×ΓL(1,𝔽25)—34no—
130C3×D3×C8—34no—
131#3712—32no—
132#3711—34no—
133#3711—34no—
134#3711—34no—
135#3711—34no—
136#3711—62no—
137#3711—64no—
138#3711C2×D314yescomplemented
139#3710—32no—
140D3×C3⋊C8—34no—
141D3×C3⋊C8—34no—
142D3×C3⋊C8—34no—
143D3×C3⋊C8—34no—
144D3×C3⋊C8—62no—
145D3×C3⋊C8—64no—
146D3×C3⋊C8C2×D314yescomplemented
147C22×C33C22×C411yescharacteristic
148C2×C3×C3⋊D3—22no—
149C2×C3×C3⋊D3C22×C411yescharacteristic
150C2×C3×C3⋊D3C22×C411yescharacteristic
151C2×C32×D3—24no—
152C2×C32×D3C22×C412yes—
153C2×C32×D3C22×C412yes—
154C3×D32—22no—
155C3×D32—24no—
156C3×D32M1614yescomplemented
157C33×C4C22×C411yescharacteristic
158C33×C4C2411yescharacteristic
159C3×C3⋊Dic3C22×C411yescharacteristic
160C3×C3⋊Dic3C22×C411yescharacteristic
161C32×Dic3C22×C412yes—
162C32×Dic3C22×C412yes—
163C23×C3×C4—91no—
164C22×C4×D3—32no—
165C2×C3×M16—92no—
166C2×#208—32no—
167C2×#208—94no—
168C2×#208—91no—
169C2×#208—92no—
170C2×#208—92no—
171C2×#208—92no—
172C2×#208—91no—
173C2×#208—182no—
174C22×C3⋊C8—92no—
175D3×M16—32no—
176D3×M16—94no—
177D3×M16—94no—
178D3×M16—92no—
179D3×M16—92no—
180D3×M16—92no—
181D3×M16—181no—
182C2×ΓL(1,𝔽25)—94no—
183C2×D3×C8—94no—
184C23×C32—32no—
185C22×C3⋊D3C2×Dic311yescharacteristic
186C22×C3×D3—22no—
187C22×C3×D3—32no—
188C22×C3×D3—32no—
189C22×C3×D3—32no—
190C22×C3×D3—32no—
191C22×C3×D3—32no—
192C22×C3×D3—61no—
193C22×C3×D3—68no—
194C22×C3×D3C4×D312yes—
195C22×C3×D3C2×Dic312yes—
196C2×D32—24no—
197C2×D32C2×Dic311yescharacteristic
198C2×D32C2×Dic312yes—
199C2×D32C2×Dic311yescharacteristic
200C2×C32×C4—21no—
201C2×C32×C4—22no—
202C2×C32×C4—32no—
203C2×C32×C4—32no—
204C2×C32×C4—32no—
205C2×C32×C4—32no—
206C2×C32×C4—32no—
207C2×C32×C4—41no—
208C2×C32×C4C22×D312yes—
209C2×C32×C4C22×D311yescharacteristic
210C2×C3⋊Dic3C2×Dic311yescharacteristic
211C4×C3⋊D3C2×Dic311yescharacteristic
212C4×C3⋊D3C2×Dic311yescharacteristic
213C4×C3⋊D3C22×D311yescharacteristic
214C4×C3⋊D3C22×D311yescharacteristic
215C2×C3×Dic3—22no—
216C2×C3×Dic3—32no—
217C2×C3×Dic3—32no—
218C2×C3×Dic3—32no—
219C2×C3×Dic3—32no—
220C2×C3×Dic3—32no—
221C2×C3×Dic3—61no—
222C2×C3×Dic3C4×D312yes—
223C2×C3×Dic3C2×Dic312yes—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—22no—
227C3×C4×D3—22no—
228C3×C4×D3—32no—
229C3×C4×D3—32no—
230C3×C4×D3—32no—
231C3×C4×D3—32no—
232C3×C4×D3—32no—
233C3×C4×D3—32no—
234C3×C4×D3—32no—
235C3×C4×D3—32no—
236C3×C4×D3—32no—
237C3×C4×D3—32no—
238C3×C4×D3—32no—
239C3×C4×D3—32no—
240C3×C4×D3—61no—
241C3×C4×D3—61no—
242C3×C4×D3—61no—
243C3×C4×D3—61no—
244C3×C4×D3C4×D312yes—
245C3×C4×D3C4×D312yes—
246C3×C4×D3C2×Dic312yes—
247C3×C4×D3C2×Dic312yes—
248C3×C4×D3C22×D312yes—
249C3×C4×D3C22×D312yes—
250C3×C4×D3C22×D312yes—
251C3×C4×D3C22×D312yes—
252#624C2×Dic312yes—
253#624C2×Dic311yescharacteristic
254#624C2×Dic311yescharacteristic
255D3×Dic3C2×Dic312yes—
256D3×Dic3C2×Dic312yes—
257D3×Dic3C2×Dic312yes—
258D3×Dic3C2×Dic312yes—
259C32×C8—32no—
260C3⋊(C3⋊C8)—32no—
261C3⋊(C3⋊C8)—34no—
262C3⋊(C3⋊C8)—64no—
263C3⋊(C3⋊C8)—62no—
264C3⋊(C3⋊C8)—122no—
265C3⋊(C3⋊C8)C22×D314yescomplemented
266C3×C3⋊C8—22no—
267C3×C3⋊C8—34no—
268C3×C3⋊C8—34no—
269C3×C3⋊C8—64no—
270C3×C3⋊C8C22×D314yescomplemented
271C22×M16—271noSylow
272C2×C33—21no—
273C2×C33C23×C411yescharacteristic
274C3×C3⋊D3—21no—
275C3×C3⋊D3C2×M1612yescomplemented
276C32×D3—22no—
277C32×D3C2×M1614yescomplemented
278C24×C3—91no—
279C23×D3—32no—
280C22×C3×C4—32no—
281C22×C3×C4—32no—
282C22×C3×C4—62no—
283C22×C3×C4—91no—
284C22×C3×C4—92no—
285C22×C3×C4—91no—
286C22×C3×C4—91no—
287C22×C3×C4—91no—
288C22×C3×C4—92no—
289C22×C3×C4—91no—
290C22×C3×C4—92no—
291C22×C3×C4—91no—
292C22×Dic3—32no—
293C2×C4×D3—32no—
294C2×C4×D3—32no—
295C2×C4×D3—32no—
296C2×C4×D3—32no—
297C2×C4×D3—32no—
298C2×C4×D3—32no—
299C2×C4×D3—32no—
300C2×C4×D3—32no—
301C2×C4×D3—32no—
302C2×C4×D3—32no—
303C2×C4×D3—32no—
304C2×C4×D3—61no—
305C2×C4×D3D3212yes—
306C3×M16—32no—
307C3×M16—61no—
308C3×M16—94no—
309C3×M16—92no—
310C2×C3×C8—94no—
311#208—32no—
312#208—32no—
313#208—34no—
314#208—62no—
315#208—92no—
316#208—94no—
317#208—94no—
318#208—92no—
319#208—91no—
320#208—92no—
321#208—184no—
322#208—181no—
323#208—182no—
324#208—361no—
325#208D3211yescharacteristic, direct product factor
326C2×C3⋊C8—34no—
327C2×C3⋊C8—92no—
328C2×C3⋊C8—94no—
329C2×C3⋊C8—94no—
330C2×C3⋊C8—92no—
331C2×C3⋊C8—184no—
332ΓL(1,𝔽25)—34no—
333ΓL(1,𝔽25)—94no—
334ΓL(1,𝔽25)—94no—
335ΓL(1,𝔽25)—94no—
336ΓL(1,𝔽25)—182no—
337D3×C8—34no—
338D3×C8—94no—
339D3×C8—94no—
340D3×C8—94no—
341D3×C8—182no—
342C22×C32—21no—
343C22×C32—22no—
344C22×C32—32no—
345C22×C32—32no—
346C22×C32—41no—
347C22×C32—64no—
348C22×C32C2×C4×D312yes—
349C22×C32C22×Dic311yescharacteristic
350C2×C3⋊D3—22no—
351C2×C3⋊D3C22×Dic311yescharacteristic
352C2×C3⋊D3C22×Dic311yescharacteristic
353C2×C3×D3—24no—
354C2×C3×D3—24no—
355C2×C3×D3—22no—
356C2×C3×D3—22no—
357C2×C3×D3—32no—
358C2×C3×D3—38no—
359C2×C3×D3—32no—
360C2×C3×D3—44no—
361C2×C3×D3—61no—
362C2×C3×D3—61no—
363C2×C3×D3—64no—
364C2×C3×D3—64no—
365C2×C3×D3—64no—
366C2×C3×D3—64no—
367C2×C3×D3—122no—
368C2×C3×D3C2×C4×D312yes—
369C2×C3×D3C2×C4×D312yes—
370C2×C3×D3C22×Dic312yes—
371C2×C3×D3C22×Dic312yes—
372D32—22no—
373D32—24no—
374D32#20814yesdirect product factor
375C32×C4—21no—
376C32×C4—22no—
377C32×C4—21no—
378C32×C4—22no—
379C32×C4—32no—
380C32×C4—32no—
381C32×C4—41no—
382C32×C4—41no—
383C32×C4C2×C4×D312yes—
384C32×C4C22×Dic311yescharacteristic
385C32×C4C23×D312yes—
386C32×C4C23×D311yescharacteristic
387C3⋊Dic3C22×Dic311yescharacteristic
388C3⋊Dic3C22×Dic311yescharacteristic
389C3×Dic3—22no—
390C3×Dic3—22no—
391C3×Dic3—32no—
392C3×Dic3—32no—
393C3×Dic3—61no—
394C3×Dic3—61no—
395C3×Dic3C2×C4×D312yes—
396C3×Dic3C2×C4×D312yes—
397C3×Dic3C22×Dic312yes—
398C3×Dic3C22×Dic312yes—
399C23×C4—91no—
400C2×M16—92no—
401C2×M16—274no—
402C2×M16—271no—
403C2×M16—272no—
404C2×M16—271no—
405C2×M16—272no—
406C22×C8—272no—
407C33C22×M1611yescharacteristic, complemented, Sylow
408C23×C3—32no—
409C23×C3—32no—
410C23×C3—62no—
411C23×C3—91no—
412C23×C3—92no—
413C23×C3—91no—
414C23×C3—91no—
415C23×C3—184no—
416C22×D3—32no—
417C22×D3—32no—
418C22×D3—32no—
419C22×D3—32no—
420C22×D3—32no—
421C22×D3—61no—
422C22×D3—68no—
423C22×D3D3×Dic312yes—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—32no—
427C2×C3×C4—32no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—32no—
431C2×C3×C4—32no—
432C2×C3×C4—32no—
433C2×C3×C4—32no—
434C2×C3×C4—32no—
435C2×C3×C4—32no—
436C2×C3×C4—41no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—62no—
442C2×C3×C4—91no—
443C2×C3×C4—91no—
444C2×C3×C4—92no—
445C2×C3×C4—92no—
446C2×C3×C4—92no—
447C2×C3×C4—92no—
448C2×C3×C4—92no—
449C2×C3×C4—91no—
450C2×C3×C4—91no—
451C2×C3×C4—91no—
452C2×C3×C4—91no—
453C2×C3×C4—91no—
454C2×C3×C4C2×D3211yescharacteristic
455C2×C3×C4C2×D3212yes—
456C2×Dic3—32no—
457C2×Dic3—32no—
458C2×Dic3—32no—
459C2×Dic3—32no—
460C2×Dic3—32no—
461C2×Dic3—61no—
462C2×Dic3D3×Dic312yes—
463C4×D3—32no—
464C4×D3—32no—
465C4×D3—32no—
466C4×D3—32no—
467C4×D3—32no—
468C4×D3—32no—
469C4×D3—32no—
470C4×D3—32no—
471C4×D3—32no—
472C4×D3—32no—
473C4×D3—32no—
474C4×D3—32no—
475C4×D3—61no—
476C4×D3—61no—
477C4×D3—61no—
478C4×D3—61no—
479C4×D3D3×Dic312yes—
480C4×D3D3×Dic312yes—
481C4×D3C2×D3212yes—
482C4×D3C2×D3212yes—
483C3×C8—34no—
484C3×C8—62no—
485C3×C8—94no—
486C3⋊C8—34no—
487C3⋊C8—34no—
488C3⋊C8—64no—
489C3⋊C8—94no—
490C3⋊C8—92no—
491C3⋊C8—182no—
492C3⋊C8—184no—
493C3⋊C8—362no—
494C3⋊C8C2×D3212yescomplemented
495C2×C32—22no—
496C2×C32—21no—
497C2×C32—21no—
498C2×C32—22no—
499C2×C32—34no—
500C2×C32—41no—
501C2×C32—42no—
502C2×C32—41no—
503C2×C32—62no—
504C2×C32—81no—
505C2×C32C22×C4×D312yes—
506C2×C32C23×Dic311yescharacteristic
507C3⋊D3—21no—
508C3⋊D3C2×#20812yescomplemented
509C3×D3—22no—
510C3×D3—22no—
511C3×D3—24no—
512C3×D3—34no—
513C3×D3—42no—
514C3×D3—62no—
515C3×D3—62no—
516C3×D3—121no—
517C3×D3D3×M1614yescomplemented
518C3×D3C2×#20814yescomplemented
519C24—91no—
520C22×C4—32no—
521C22×C4—91no—
522C22×C4—92no—
523C22×C4—91no—
524C22×C4—91no—
525C22×C4—91no—
526C22×C4—92no—
527C22×C4—91no—
528C22×C4—92no—
529C22×C4—91no—
530M16—31no—
531M16—94no—
532M16—92no—
533M16—272no—
534M16—272no—
535M16—274no—
536M16—271no—
537C2×C8—94no—
538C2×C8—272no—
539C2×C8—272no—
540C2×C8—274no—
541C22×C3—21no—
542C22×C3—22no—
543C22×C3—32no—
544C22×C3—32no—
545C22×C3—32no—
546C22×C3—32no—
547C22×C3—41no—
548C22×C3—62no—
549C22×C3—62no—
550C22×C3—64no—
551C22×C3—64no—
552C22×C3—94no—
553C22×C3—91no—
554C22×C3—91no—
555C22×C3—124no—
556C22×C3—182no—
557C22×C3—184no—
558C22×C3—182no—
559C22×C3C4×D3211yescharacteristic
560C22×C3C2×D3×Dic312yes—
561C2×D3—24no—
562C2×D3—32no—
563C2×D3—38no—
564C2×D3—32no—
565C2×D3—61no—
566C2×D3—61no—
567C2×D3—64no—
568C2×D3—64no—
569C2×D3—64no—
570C2×D3—64no—
571C2×D3—122no—
572C2×D3C2×D3×Dic312yes—
573C2×D3C2×D3×Dic312yes—
574C3×C4—22no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—22no—
578C3×C4—32no—
579C3×C4—32no—
580C3×C4—32no—
581C3×C4—32no—
582C3×C4—41no—
583C3×C4—41no—
584C3×C4—62no—
585C3×C4—62no—
586C3×C4—91no—
587C3×C4—91no—
588C3×C4C4×D3211yescharacteristic
589C3×C4C2×D3×Dic312yes—
590C3×C4C22×D3211yescharacteristic
591C3×C4C22×D3212yes—
592Dic3—32no—
593Dic3—32no—
594Dic3—61no—
595Dic3—61no—
596Dic3C2×D3×Dic312yes—
597Dic3C2×D3×Dic312yes—
598C32—21no—
599C32—22no—
600C32—41no—
601C32C2×D3×M1612yescomplemented
602C32C22×#20811yescharacteristic, complemented
603C23—32no—
604C23—91no—
605C23—92no—
606C23—91no—
607C23—91no—
608C23—184no—
609C2×C4—32no—
610C2×C4—32no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—32no—
614C2×C4—91no—
615C2×C4—91no—
616C2×C4—92no—
617C2×C4—92no—
618C2×C4—92no—
619C2×C4—92no—
620C2×C4—92no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—91no—
624C2×C4—91no—
625C2×C4—91no—
626C2×C4D3311yescharacteristic
627C8—32no—
628C8—94no—
629C8—272no—
630C2×C3—21no—
631C2×C3—22no—
632C2×C3—21no—
633C2×C3—22no—
634C2×C3—34no—
635C2×C3—34no—
636C2×C3—41no—
637C2×C3—42no—
638C2×C3—41no—
639C2×C3—64no—
640C2×C3—62no—
641C2×C3—62no—
642C2×C3—81no—
643C2×C3—92no—
644C2×C3—122no—
645C2×C3—181no—
646C2×C3C2×C4×D3211yescharacteristic
647C2×C3C22×D3×Dic312yes—
648D3—22no—
649D3—34no—
650D3—62no—
651D3—62no—
652D3—121no—
653D3D3×#20814yesdirect product factor
654C22—32no—
655C22—32no—
656C22—64no—
657C22—94no—
658C22—91no—
659C22—91no—
660C22—182no—
661C22—184no—
662C22—182no—
663C22D32×Dic311yescharacteristic
664C4—32no—
665C4—32no—
666C4—91no—
667C4—91no—
668C4D32×Dic311yescharacteristic
669C4C2×D3311yescharacteristic
670C3—21no—
671C3—22no—
672C3—41no—
673C3D32×M1611yescharacteristic, complemented
674C3C2×D3×#20812yescomplemented
675C2—21no—
676C2—34no—
677C2—62no—
678C2—92no—
679C2—181no—
680C2C2×D32×Dic311yescharacteristic
subgroupG/H
center, FrattiniC4C2×D33
commutator, socleC2×C33C23×C4
FittingC2×C33×C4C23
prime radicalC22×C3×D32C4
cosocleC33×C4C24
hypercenterC2×C4D33
hypocenterC33C22×M16
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. #11723656C2semidirect
3. C3⋊D3×#208C2semidirect
4. D3×#3748C2semidirect
5. C3×D3×#208C2semidirect
6. #11722816C2semidirect
7. D3×#3711C2semidirect
8. D32×C3⋊C8C2semidirect
22. #88855C22semidirect
23. C3×#3748C22semidirect
24. C32×#208C22semidirect
25. #88809C22semidirect
26. #88808C22semidirect
27. #88787C22semidirect
28. #88786C22semidirect
29. C3⋊D3×C3⋊C8C22semidirect
30. D3×C3⋊(C3⋊C8)C22semidirect
31. C3×#3711C22semidirect
32. C3×D3×C3⋊C8C22semidirect
49. D3×#208D3direct (N × H)
78. C3⋊(C3⋊(C3⋊C8))C23semidirect
79. C3×C3⋊(C3⋊C8)C23semidirect
80. C32×C3⋊C8C23semidirect
118. #3748C2×D3semidirect
127. C3×#208C2×D3semidirect
138. #3711C2×D3semidirect
146. D3×C3⋊C8C2×D3semidirect
156. C3×D32M16semidirect
265. C3⋊(C3⋊C8)C22×D3semidirect
270. C3×C3⋊C8C22×D3semidirect
275. C3×C3⋊D3C2×M16semidirect
277. C32×D3C2×M16semidirect
325. #208D32direct (N × H)
374. D32#208direct (N × H)
407. C33C22×M16semidirect
494. C3⋊C8C2×D32semidirect
508. C3⋊D3C2×#208semidirect
517. C3×D3D3×M16semidirect
518. C3×D3C2×#208semidirect
601. C32C2×D3×M16semidirect
602. C32C22×#208semidirect
653. D3D3×#208direct (N × H)
673. C3D32×M16semidirect
674. C3C2×D3×#208semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D322
#117236562
C3⋊D3×#2082
D3×#37482
C3×D3×#2082
#117228162
D3×#37112
D32×C3⋊C82
C2×D3×#2083
D32×M163