Finite Group Databasebeta

← #13170705

Subgroups — #13170705

Order 1728.

1590 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D32×Dic3C211yesmaximal, characteristic
2C4×#6294C211yesmaximal, characteristic, complemented
3C3⋊D3×Dic3⋊C4C211yesmaximal, characteristic, complemented
4#11723459C212yesmaximal, complemented
5C3×#63921C211yesmaximal, characteristic
6C3×#63878C212yesmaximal, complemented
7#11722916C212yesmaximal, complemented
8#11722914C212yesmaximal, complemented
9#11722911C211yesmaximal, characteristic, complemented
10#11722902C211yesmaximal, characteristic
11Dic3×#624C211yesmaximal, characteristic, complemented
12#10594602—31nomaximal
13D3×#877—32nomaximal
14C22×C3×D32C2211yescharacteristic
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×#6294C2211yescharacteristic
17C2×#6294C2211yescharacteristic
18C2×Dic3×C3⋊D3C2211yescharacteristic
19C2×Dic3×C3⋊D3C2211yescharacteristic
20C2×D3×C3⋊Dic3C2212yes—
21C2×C3×#624C2211yescharacteristic
22C2×C3×D3×Dic3C2212yes—
23D32×Dic3C418yescomplemented
24#88857C2211yescharacteristic, complemented
25C3×C4×C3⋊Dic3C2212yescomplemented
26C32×(C2×D3)⋊C4C2212yes—
27C32×Dic3⋊C4C2211yescharacteristic, complemented
28#88813C2212yescomplemented
29#88806C2212yescomplemented
30#88806C2211yescharacteristic, complemented
31Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
32(C2×D3)⋊(C3⋊Dic3)C2212yes—
33Dic3×C3⋊Dic3C2212yescomplemented
34C3×Dic3⋊Dic3C2212yescomplemented
35C3×(C2×D3)⋊Dic3C2212yes—
36C3×(C2×D3)⋊Dic3C2212yes—
37C3×Dic32C2212yescomplemented
38C22×D3×Dic3—32no—
39C2×C4×D32—31no—
40C4⋊C4×C3⋊D3—31no—
41#64086—32no—
42C3×#892—32no—
43C3×D3×C22⋊C4—32no—
44C3×#877—32no—
45D3×#217—32no—
46#63957—32no—
47#63955—32no—
48#63921—31no—
49#63921D311yescharacteristic
50#63900—31no—
51C4×#624—31no—
52C4×#624—31no—
53#63878—32no—
54#63878D312yescomplemented
55#63877—32no—
56#63877—32no—
57#63877—32no—
58#63877—32no—
59#63877—62no—
60D3×Dic3⋊C4—32no—
61D3×Dic3⋊C4—32no—
62D3×Dic3⋊C4—61no—
63C4×D3×Dic3—32no—
64C4×D3×Dic3—32no—
65#63841—32no—
66C22×C3×C3⋊D3C2311yescharacteristic
67C22×C32×D3C2312yes—
68C2×C3×D32—22no—
69C2×C3×D32—22no—
70C2×C3×D32C2×C414yes—
71C2×C33×C4C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C3×C3⋊Dic3C2312yes—
77C3×C4×C3⋊D3—22no—
78C2×C32×Dic3C2312yes—
79C2×C32×Dic3C2311yescharacteristic
80C2×C32×Dic3C2311yescharacteristic
81#6294—22no—
82#6294C2×C414yes—
83Dic3×C3⋊D3—22no—
84Dic3×C3⋊D3C2×C414yes—
85D3×C3⋊Dic3C2×C418yescomplemented
86C3×#624—22no—
87C3×D3×Dic3C2×C418yescomplemented
88D3×#117—92no—
89C2×#877—91no—
90C23×C3×D3—32no—
91C22×D32C2×D311yescharacteristic
92C22×C3⋊Dic3—32no—
93C2×C4×C3⋊D3—31no—
94C2×C4×C3⋊D3—31no—
95C2×C4×C3⋊D3C2×D311yescharacteristic
96C22×C3×Dic3—32no—
97C2×C3×C4×D3—32no—
98C2×C3×C4×D3—32no—
99C2×C3×C4×D3—32no—
100C2×C3×C4×D3—61no—
101C2×#624—31no—
102C2×#624—31no—
103C2×#624C2×D311yescharacteristic
104C2×D3×Dic3—32no—
105C2×D3×Dic3—32no—
106C2×D3×Dic3—32no—
107C2×D3×Dic3—32no—
108C2×D3×Dic3—316no—
109C2×D3×Dic3—32no—
110C2×D3×Dic3—32no—
111C2×D3×Dic3—61no—
112C2×D3×Dic3—62no—
113C2×D3×Dic3—61no—
114C2×D3×Dic3C2×D312yes—
115C4×D32—38no—
116C32×C4⋊C4—31no—
117C32×C22⋊C4—32no—
118#3757—32no—
119C4⋊(C3⋊Dic3)—31no—
120#3750—32no—
121#3750—31no—
122#3750—32no—
123#3750—31no—
124#3750—61no—
125#3750—62no—
126#3750—121no—
127C4×C3⋊Dic3—32no—
128C4×C3⋊Dic3C2×D312yescomplemented
129C3×#217—32no—
130C3×#217—32no—
131C3×(C2×D3)⋊C4—22no—
132C3×(C2×D3)⋊C4—32no—
133C3×(C2×D3)⋊C4—32no—
134C3×(C2×D3)⋊C4C2×D312yes—
135C3×(C2×D3)⋊C4C2×D312yes—
136C3×C4⋊Dic3—32no—
137C3×Dic3⋊C4—21no—
138C3×Dic3⋊C4—32no—
139C3×Dic3⋊C4C2×D312yescomplemented
140C3×C4×Dic3—32no—
141C3×C4×Dic3—32no—
142C3×C4×Dic3—32no—
143C3×C4×Dic3—32no—
144C3×C4×Dic3—62no—
145#3724—32no—
146#3724—32no—
147#3724—32no—
148#3724—61no—
149#3724—62no—
150Dic3⋊Dic3—32no—
151Dic3⋊Dic3—61no—
152Dic3⋊Dic3C2×D312yescomplemented
153(C2×D3)⋊Dic3—32no—
154(C2×D3)⋊Dic3—32no—
155(C2×D3)⋊Dic3—62no—
156(C2×D3)⋊Dic3C2×D312yes—
157(C2×D3)⋊Dic3C2×D312yes—
158Dic32—32no—
159Dic32—32no—
160Dic32—32no—
161Dic32—32no—
162Dic32—32no—
163Dic32—62no—
164Dic32C2×D312yescomplemented
165C22×C33C2411yescharacteristic
166C2×C3×C3⋊D3C22×C412yes—
167C2×C3×C3⋊D3#4112yes—
168C2×C3×C3⋊D3#4112yes—
169C2×C32×D3—22no—
170C2×C32×D3—22no—
171C2×C32×D3C22×C414yes—
172C3×D32—28no—
173C33×C4—21no—
174C3⋊(C3⋊Dic3)—21no—
175C3⋊(C3⋊Dic3)C22×C412yes—
176C3×C3⋊Dic3—22no—
177C3×C3⋊Dic3—21no—
178C3×C3⋊Dic3C22×C414yes—
179C32×Dic3—22no—
180C32×Dic3—21no—
181C32×Dic3C22×C412yes—
182C23×Dic3—91no—
183C22×C4×D3—92no—
184C3×#117—92no—
185C2×C3×C22⋊C4—91no—
186C2×#217—91no—
187#926—92no—
188C2×Dic3⋊C4—91no—
189C2×Dic3⋊C4—91no—
190C2×C4×Dic3—91no—
191C2×C4×Dic3—91no—
192#892—32no—
193#892—92no—
194D3×C4⋊C4—92no—
195D3×C4⋊C4—92no—
196D3×C4⋊C4—181no—
197D3×C22⋊C4—32no—
198D3×C22⋊C4—92no—
199#877—32no—
200#877—92no—
201#877—92no—
202#877—92no—
203#877—92no—
204#877—92no—
205#877—182no—
206#872—92no—
207#872—92no—
208C42×D3—92no—
209C42×D3—92no—
210C23×C32—32no—
211C22×C3⋊D3C22×D311yescharacteristic
212C22×C3×D3—22no—
213C22×C3×D3—32no—
214C22×C3×D3—38no—
215C22×C3×D3—61no—
216C22×C3×D3—64no—
217C22×C3×D3—64no—
218C22×C3×D3C22×D312yes—
219C22×C3×D3C22×D312yes—
220C2×D32—22no—
221C2×D32—22no—
222C2×D32C4×D314yes—
223C2×C32×C4—22no—
224C2×C32×C4—21no—
225C2×C32×C4—31no—
226C2×C32×C4—31no—
227C2×C32×C4—32no—
228C2×C32×C4—41no—
229C2×C32×C4C22×D311yescharacteristic
230C2×C32×C4C22×D312yes—
231C2×C3⋊Dic3—31no—
232C2×C3⋊Dic3—32no—
233C2×C3⋊Dic3—38no—
234C2×C3⋊Dic3—31no—
235C2×C3⋊Dic3—32no—
236C2×C3⋊Dic3—62no—
237C2×C3⋊Dic3—61no—
238C2×C3⋊Dic3—62no—
239C2×C3⋊Dic3—61no—
240C2×C3⋊Dic3—121no—
241C2×C3⋊Dic3—121no—
242C2×C3⋊Dic3C22×D311yescharacteristic
243C2×C3⋊Dic3C22×D312yes—
244C2×C3⋊Dic3C22×D312yes—
245C4×C3⋊D3—22no—
246C4×C3⋊D3—34no—
247C4×C3⋊D3—62no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—22no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—32no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—38no—
254C2×C3×Dic3—32no—
255C2×C3×Dic3—32no—
256C2×C3×Dic3—32no—
257C2×C3×Dic3—62no—
258C2×C3×Dic3—62no—
259C2×C3×Dic3—61no—
260C2×C3×Dic3C22×D312yes—
261C2×C3×Dic3C22×D312yes—
262C2×C3×Dic3C22×D312yes—
263C2×C3×Dic3C22×D312yes—
264C3×C4×D3—38no—
265C3×C4×D3—64no—
266C3×C4×D3—64no—
267C3×C4×D3—122no—
268#624—22no—
269#624—34no—
270#624—62no—
271D3×Dic3—38no—
272D3×Dic3—38no—
273D3×Dic3—38no—
274D3×Dic3—38no—
275D3×Dic3—68no—
276D3×Dic3—64no—
277D3×Dic3—64no—
278D3×Dic3—64no—
279D3×Dic3—122no—
280D3×Dic3C4×D318yescomplemented
281C2×#117—271noSylow
282C2×C33C23×C411yescharacteristic
283C2×C33C2×#4111yescharacteristic
284C2×C33C2×#4111yescharacteristic
285C3×C3⋊D3#11714yescomplemented
286C32×D3—24no—
287C24×C3—91no—
288C23×D3—32no—
289C22×C3×C4—91no—
290C22×C3×C4—92no—
291C22×C3×C4—91no—
292C22×Dic3—32no—
293C22×Dic3—91no—
294C22×Dic3—98no—
295C22×Dic3—91no—
296C22×Dic3—92no—
297C22×Dic3—92no—
298C22×Dic3—91no—
299C22×Dic3—91no—
300C22×Dic3—182no—
301C2×C4×D3—32no—
302C2×C4×D3—32no—
303C2×C4×D3—32no—
304C2×C4×D3—61no—
305C2×C4×D3—916no—
306C2×C4×D3—92no—
307C2×C4×D3—92no—
308C2×C4×D3—92no—
309C2×C4×D3—92no—
310C2×C4×D3—92no—
311C2×C4×D3—181no—
312C2×C4×D3—181no—
313C3×C4⋊C4—32no—
314C3×C4⋊C4—61no—
315C3×C4⋊C4—92no—
316C3×C22⋊C4—32no—
317C3×C22⋊C4—32no—
318C3×C22⋊C4—62no—
319C3×C22⋊C4—92no—
320C3×C22⋊C4—92no—
321C3×C42—92no—
322C3×C42—92no—
323#217—32no—
324#217—32no—
325#217—92no—
326#217—92no—
327#217—182no—
328(C2×D3)⋊C4—32no—
329(C2×D3)⋊C4—32no—
330(C2×D3)⋊C4—92no—
331(C2×D3)⋊C4D3212yes—
332C4⋊Dic3—32no—
333C4⋊Dic3—92no—
334C4⋊Dic3—181no—
335Dic3⋊C4—32no—
336Dic3⋊C4—92no—
337Dic3⋊C4—92no—
338Dic3⋊C4—92no—
339Dic3⋊C4—92no—
340Dic3⋊C4—91no—
341Dic3⋊C4—92no—
342Dic3⋊C4—91no—
343Dic3⋊C4—91no—
344Dic3⋊C4—182no—
345Dic3⋊C4—181no—
346Dic3⋊C4—182no—
347Dic3⋊C4—181no—
348Dic3⋊C4—361no—
349Dic3⋊C4D3211yescharacteristic, complemented
350C4×Dic3—32no—
351C4×Dic3—32no—
352C4×Dic3—32no—
353C4×Dic3—32no—
354C4×Dic3—62no—
355C4×Dic3—92no—
356C4×Dic3—92no—
357C4×Dic3—92no—
358C4×Dic3—92no—
359C4×Dic3—92no—
360C4×Dic3—92no—
361C4×Dic3—182no—
362C22×C32—21no—
363C22×C32—22no—
364C22×C32—34no—
365C22×C32—41no—
366C22×C32—62no—
367C22×C32—62no—
368C22×C32C23×D311yescharacteristic
369C22×C32C23×D312yes—
370C2×C3⋊D3C2×C4×D312yes—
371C2×C3⋊D3#23712yes—
372C2×C3⋊D3#23712yes—
373C2×C3×D3—22no—
374C2×C3×D3—22no—
375C2×C3×D3—22no—
376C2×C3×D3—22no—
377C2×C3×D3—24no—
378C2×C3×D3—34no—
379C2×C3×D3—34no—
380C2×C3×D3—34no—
381C2×C3×D3—42no—
382C2×C3×D3—42no—
383C2×C3×D3—62no—
384C2×C3×D3—62no—
385C2×C3×D3—62no—
386C2×C3×D3—616no—
387C2×C3×D3C2×C4×D314yes—
388C2×C3×D3C2×C4×D314yes—
389D32—28no—
390C32×C4—21no—
391C32×C4—22no—
392C32×C4—32no—
393C32×C4—41no—
394C32×C4—42no—
395C32×C4—61no—
396C32×C4—62no—
397C32×C4—81no—
398C3⋊Dic3—21no—
399C3⋊Dic3—22no—
400C3⋊Dic3—32no—
401C3⋊Dic3—34no—
402C3⋊Dic3—64no—
403C3⋊Dic3—62no—
404C3⋊Dic3—61no—
405C3⋊Dic3—62no—
406C3⋊Dic3—122no—
407C3⋊Dic3—121no—
408C3⋊Dic3—122no—
409C3⋊Dic3—241no—
410C3⋊Dic3C2×C4×D314yes—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—22no—
414C3×Dic3—22no—
415C3×Dic3—34no—
416C3×Dic3—34no—
417C3×Dic3—41no—
418C3×Dic3—42no—
419C3×Dic3—64no—
420C3×Dic3—62no—
421C3×Dic3—62no—
422C3×Dic3—62no—
423C3×Dic3—121no—
424C3×Dic3—122no—
425C3×Dic3C2×C4×D314yes—
426C23×C4—271no—
427#117—92no—
428#117—272no—
429#117—272no—
430#117—272no—
431C2×C4⋊C4—271no—
432C2×C4⋊C4—271no—
433C2×C22⋊C4—91no—
434C2×C22⋊C4—271no—
435C2×C42—271no—
436C2×C42—271no—
437C33C2×#11711yescharacteristic, complemented, Sylow
438C23×C3—32no—
439C23×C3—32no—
440C23×C3—62no—
441C23×C3—94no—
442C23×C3—91no—
443C23×C3—182no—
444C23×C3—182no—
445C22×D3—32no—
446C22×D3—38no—
447C22×D3—61no—
448C22×D3—64no—
449C22×D3—64no—
450C22×D3C2×D3212yes—
451C2×C3×C4—22no—
452C2×C3×C4—21no—
453C2×C3×C4—32no—
454C2×C3×C4—32no—
455C2×C3×C4—32no—
456C2×C3×C4—32no—
457C2×C3×C4—41no—
458C2×C3×C4—61no—
459C2×C3×C4—62no—
460C2×C3×C4—61no—
461C2×C3×C4—98no—
462C2×C3×C4—92no—
463C2×C3×C4—91no—
464C2×C3×C4—92no—
465C2×C3×C4—182no—
466C2×C3×C4—182no—
467C2×C3×C4C2×D3211yescharacteristic
468C2×C3×C4C2×D3212yes—
469C2×Dic3—32no—
470C2×Dic3—32no—
471C2×Dic3—38no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—32no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—61no—
478C2×Dic3—94no—
479C2×Dic3—98no—
480C2×Dic3—98no—
481C2×Dic3—92no—
482C2×Dic3—91no—
483C2×Dic3—94no—
484C2×Dic3—91no—
485C2×Dic3—92no—
486C2×Dic3—188no—
487C2×Dic3—181no—
488C2×Dic3—182no—
489C2×Dic3—182no—
490C2×Dic3—181no—
491C2×Dic3—182no—
492C2×Dic3—182no—
493C2×Dic3—361no—
494C2×Dic3—361no—
495C2×Dic3C2×D3211yescharacteristic
496C2×Dic3C2×D3212yes—
497C2×Dic3C2×D3211yescharacteristic
498C4×D3—38no—
499C4×D3—64no—
500C4×D3—64no—
501C4×D3—98no—
502C4×D3—98no—
503C4×D3—98no—
504C4×D3—122no—
505C4×D3—184no—
506C4×D3—184no—
507C4×D3—184no—
508C4×D3—362no—
509C2×C32—21no—
510C2×C32—22no—
511C2×C32—22no—
512C2×C32—22no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—41no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—64no—
519C2×C32C22×C4×D311yescharacteristic
520C2×C32C22×C4×D312yes—
521C2×C32C2×#23711yescharacteristic
522C2×C32C2×#23711yescharacteristic
523C2×C32D3×#4112yes—
524C2×C32D3×#4112yes—
525C3⋊D3#87714yescomplemented
526C3×D3—24no—
527C3×D3—24no—
528C3×D3—38no—
529C3×D3—44no—
530C3×D3—64no—
531C24—91no—
532C22×C4—91no—
533C22×C4—92no—
534C22×C4—91no—
535C22×C4—271no—
536C22×C4—271no—
537C22×C4—271no—
538C22×C4—278no—
539C22×C4—271no—
540C22×C4—272no—
541C4⋊C4—31no—
542C4⋊C4—92no—
543C4⋊C4—271no—
544C4⋊C4—272no—
545C4⋊C4—271no—
546C4⋊C4—271no—
547C22⋊C4—32no—
548C22⋊C4—92no—
549C22⋊C4—92no—
550C22⋊C4—272no—
551C42—92no—
552C42—92no—
553C42—272no—
554C42—272no—
555C22×C3—22no—
556C22×C3—21no—
557C22×C3—34no—
558C22×C3—34no—
559C22×C3—41no—
560C22×C3—64no—
561C22×C3—62no—
562C22×C3—62no—
563C22×C3—62no—
564C22×C3—62no—
565C22×C3—92no—
566C22×C3—92no—
567C22×C3—92no—
568C22×C3—122no—
569C22×C3—122no—
570C22×C3—188no—
571C22×C3C22×D3212yes—
572C22×C3C22×D3211yescharacteristic
573C2×D3—22no—
574C2×D3—22no—
575C2×D3—34no—
576C2×D3—34no—
577C2×D3—34no—
578C2×D3—62no—
579C2×D3—62no—
580C2×D3—62no—
581C2×D3—616no—
582C2×D3C4×D3214yes—
583C3×C4—22no—
584C3×C4—21no—
585C3×C4—34no—
586C3×C4—41no—
587C3×C4—42no—
588C3×C4—62no—
589C3×C4—62no—
590C3×C4—62no—
591C3×C4—62no—
592C3×C4—81no—
593C3×C4—94no—
594C3×C4—121no—
595C3×C4—122no—
596C3×C4—182no—
597C3×C4—181no—
598Dic3—22no—
599Dic3—21no—
600Dic3—34no—
601Dic3—34no—
602Dic3—64no—
603Dic3—62no—
604Dic3—62no—
605Dic3—62no—
606Dic3—94no—
607Dic3—92no—
608Dic3—121no—
609Dic3—122no—
610Dic3—182no—
611Dic3—184no—
612Dic3—182no—
613Dic3—181no—
614Dic3—362no—
615Dic3—361no—
616Dic3—362no—
617Dic3—721no—
618Dic3C4×D3212yes—
619C32—21no—
620C32—22no—
621C32—41no—
622C32C2×#87711yescharacteristic, complemented
623C32D3×#11712yescomplemented
624C23—32no—
625C23—94no—
626C23—91no—
627C23—182no—
628C23—182no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—32no—
632C2×C4—98no—
633C2×C4—92no—
634C2×C4—92no—
635C2×C4—91no—
636C2×C4—182no—
637C2×C4—182no—
638C2×C4—274no—
639C2×C4—274no—
640C2×C4—278no—
641C2×C4—271no—
642C2×C4—271no—
643C2×C4—542no—
644C2×C4—542no—
645C2×C4D3311yescharacteristic
646C2×C3—22no—
647C2×C3—21no—
648C2×C3—22no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—22no—
652C2×C3—41no—
653C2×C3—41no—
654C2×C3—41no—
655C2×C3—64no—
656C2×C3—64no—
657C2×C3—94no—
658C2×C3—124no—
659C2×C3C2×C4×D3211yescharacteristic
660C2×C3C2×C4×D3212yes—
661C2×C3D3×#23712yes—
662C2×C3D3×#23712yes—
663C2×C3#6431211yescharacteristic
664C2×C3#6431911yescharacteristic
665D3—24no—
666D3—38no—
667D3—64no—
668C22—34no—
669C22—62no—
670C22—62no—
671C22—92no—
672C22—92no—
673C22—92no—
674C22—188no—
675C22C2×D3311yescharacteristic
676C4—21no—
677C4—32no—
678C4—62no—
679C4—61no—
680C4—94no—
681C4—182no—
682C4—181no—
683C4—272no—
684C4—541no—
685C3—21no—
686C3—22no—
687C3—41no—
688C3D3×#87712yescomplemented
689C3#1059460211yescharacteristic, complemented
690C2—64no—
691C2—94no—
692C2#1172437411yescharacteristic
693C2C4×D3311yescharacteristic
694C2#1172440811yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC2×C33×C4C23
socle, cosocleC22×C33C24
prime radicalC22×C3×D32C22
hypercenterC2×C4D33
hypocenterC33C2×#117
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C4×#6294C2semidirect
3. C3⋊D3×Dic3⋊C4C2semidirect
4. #11723459C2semidirect
6. C3×#63878C2semidirect
7. #11722916C2semidirect
8. #11722914C2semidirect
9. #11722911C2semidirect
11. Dic3×#624C2semidirect
23. D32×Dic3C4semidirect
24. #88857C22semidirect
25. C3×C4×C3⋊Dic3C22semidirect
27. C32×Dic3⋊C4C22semidirect
28. #88813C22semidirect
29. #88806C22semidirect
30. #88806C22semidirect
31. Dic3⋊(C3⋊Dic3)C22semidirect
33. Dic3×C3⋊Dic3C22semidirect
34. C3×Dic3⋊Dic3C22semidirect
37. C3×Dic32C22semidirect
54. #63878D3semidirect
85. D3×C3⋊Dic3C2×C4semidirect
87. C3×D3×Dic3C2×C4semidirect
128. C4×C3⋊Dic3C2×D3semidirect
139. C3×Dic3⋊C4C2×D3semidirect
152. Dic3⋊Dic3C2×D3semidirect
164. Dic32C2×D3semidirect
280. D3×Dic3C4×D3semidirect
285. C3×C3⋊D3#117semidirect
349. Dic3⋊C4D32semidirect
437. C33C2×#117semidirect
525. C3⋊D3#877semidirect
622. C32C2×#877semidirect
623. C32D3×#117semidirect
688. C3D3×#877semidirect
689. C3#10594602semidirect

Maximal subgroups

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

subgroupindex
C2×D32×Dic32
C4×#62942
C3⋊D3×Dic3⋊C42
#117234592
C3×#639212
C3×#638782
#117229162
#117229142
#117229112
#117229022
Dic3×#6242
#105946023
D3×#8773