Finite Group Databasebeta

← #13167976

Subgroups — #13167976

Order 1728.

1222 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723700C211yesmaximal, characteristic
2C3⋊D3×Dic3⋊C4C211yesmaximal, characteristic, complemented
3#11723407C212yesmaximal, complemented
4C3×#63900C211yesmaximal, characteristic, complemented
5C3×#63848C212yesmaximal, complemented
6#11723027C212yesmaximal, complemented
7#11723023C212yesmaximal, complemented
8#11722908C211yesmaximal, characteristic, complemented
9#11722905C211yesmaximal, characteristic
10#11722905C211yesmaximal, characteristic
11Dic3×#624C211yesmaximal, characteristic, complemented
12#10594656—31nomaximal
13D3×#898—32nomaximal
14C22×#1113C2211yescharacteristic
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×#6294C2211yescharacteristic
17C2×Dic3×C3⋊D3C2211yescharacteristic
18C2×Dic3×C3⋊D3C2211yescharacteristic
19C2×C3×#624C2211yescharacteristic
20C2×C3×#624C2211yescharacteristic
21#88857C2211yescharacteristic, complemented
22C3×#3752C2212yes—
23C32×C4⋊Dic3C2212yescomplemented
24C32×Dic3⋊C4C2211yescharacteristic, complemented
25#88814C2212yes—
26#88806C2211yescharacteristic, complemented
27Dic3⋊(C3⋊Dic3)C2212yescomplemented
28Dic3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
29#88803C2212yes—
30#88803C2212yes—
31Dic3×C3⋊Dic3C2212yescomplemented
32C3×#3724C2212yescomplemented
33C3×Dic3⋊Dic3C2212yescomplemented
34C3×#3722C2212yes—
35C3×#3722C2212yes—
36C3×Dic32C2212yescomplemented
37#64107—32no—
38C4⋊C4×C3⋊D3—31no—
39C3×#898—32no—
40C3×#898—32no—
41C3×D3×C4⋊C4—32no—
42#63921—31no—
43#63921—31no—
44#63921—31no—
45D3×(C2×D3)⋊C4—32no—
46D3×(C2×D3)⋊C4—32no—
47D3×(C2×D3)⋊C4—32no—
48#63900D311yescharacteristic, complemented
49D3×C4⋊Dic3—32no—
50#63883—31no—
51C4×#624—31no—
52D3×Dic3⋊C4—32no—
53D3×Dic3⋊C4—61no—
54C4×D3×Dic3—32no—
55#63868—32no—
56#63862—32no—
57#63861—32no—
58#63861—32no—
59#63859—32no—
60#63858—32no—
61#63858—32no—
62#63858—62no—
63#63848—32no—
64#63848D312yescomplemented
65C22×C3×C3⋊D3C2312yes—
66C22×C3×C3⋊D3C2311yescharacteristic
67C2×#1113—22no—
68C2×#1113—22no—
69C2×#1113—22no—
70C2×C33×C4C2311yescharacteristic
71C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C3×C4×C3⋊D3—22no—
76C2×C32×Dic3C2312yes—
77C2×C32×Dic3C2312yes—
78C2×C32×Dic3C2311yescharacteristic
79C2×C32×Dic3C2311yescharacteristic
80#6294—22no—
81Dic3×C3⋊D3—22no—
82Dic3×C3⋊D3—22no—
83C3×#624—22no—
84C3×#624—22no—
85D3×#126—92no—
86C2×#898—91no—
87C22×D32—32no—
88C22×D32—31no—
89C2×C4×C3⋊D3—31no—
90C2×C4×C3⋊D3—31no—
91C2×C4×C3⋊D3C2×D311yescharacteristic
92C2×C3×C4×D3—32no—
93C2×C3×C4×D3—32no—
94C2×C3×C4×D3—32no—
95C2×C3×C4×D3—61no—
96C2×#624—31no—
97C2×#624C2×D311yescharacteristic
98C2×#624C2×D311yescharacteristic
99C2×D3×Dic3—32no—
100C2×D3×Dic3—32no—
101C2×D3×Dic3—32no—
102C2×D3×Dic3—61no—
103C2×D3×Dic3—61no—
104C32×C4⋊C4—32no—
105C32×C4⋊C4—31no—
106#3752—32no—
107#3752—32no—
108#3752C2×D312yes—
109C4⋊(C3⋊Dic3)—31no—
110C4⋊(C3⋊Dic3)—32no—
111#3750—31no—
112#3750—32no—
113#3750—31no—
114#3750—62no—
115#3750—61no—
116#3750—121no—
117C4×C3⋊Dic3—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4—32no—
120C3×(C2×D3)⋊C4—32no—
121C3×(C2×D3)⋊C4—32no—
122C3×(C2×D3)⋊C4—32no—
123C3×(C2×D3)⋊C4—32no—
124C3×(C2×D3)⋊C4—62no—
125C3×C4⋊Dic3—22no—
126C3×C4⋊Dic3—32no—
127C3×C4⋊Dic3C2×D312yescomplemented
128C3×C4⋊Dic3C2×D312yescomplemented
129C3×Dic3⋊C4—21no—
130C3×Dic3⋊C4—32no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4C2×D312yescomplemented
134C3×C4×Dic3—32no—
135C3×C4×Dic3—32no—
136#3724—32no—
137#3724—61no—
138#3724C2×D312yescomplemented
139Dic3⋊Dic3—32no—
140Dic3⋊Dic3—32no—
141Dic3⋊Dic3—32no—
142Dic3⋊Dic3—62no—
143Dic3⋊Dic3—61no—
144Dic3⋊Dic3C2×D312yescomplemented
145#3722—32no—
146#3722C2×D312yes—
147#3722C2×D312yes—
148(C2×D3)⋊Dic3—32no—
149(C2×D3)⋊Dic3—32no—
150(C2×D3)⋊Dic3—32no—
151(C2×D3)⋊Dic3—32no—
152(C2×D3)⋊Dic3—32no—
153(C2×D3)⋊Dic3—32no—
154(C2×D3)⋊Dic3—62no—
155(C2×D3)⋊Dic3—62no—
156Dic32—32no—
157Dic32—32no—
158Dic32—62no—
159Dic32C2×D312yescomplemented
160C22×C33C2411yescharacteristic
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—22no—
164C2×C3×C3⋊D3#4112yes—
165C2×C3×C3⋊D3#4112yes—
166C2×C3×C3⋊D3#4112yes—
167#1113—44no—
168C33×C4—21no—
169C3⋊(C3⋊Dic3)—21no—
170C3⋊(C3⋊Dic3)—21no—
171C3×C3⋊Dic3—22no—
172C3×C3⋊Dic3—21no—
173C32×Dic3—21no—
174C32×Dic3—22no—
175C32×Dic3—22no—
176C32×Dic3—21no—
177C3×#126—92no—
178C2×C3×C4⋊C4—91no—
179C2×(C2×D3)⋊C4—91no—
180C2×(C2×D3)⋊C4—91no—
181C2×(C2×D3)⋊C4—91no—
182C2×C4⋊Dic3—91no—
183C2×Dic3⋊C4—91no—
184C2×C4×Dic3—91no—
185#898—32no—
186#898—32no—
187#898—92no—
188#898—92no—
189#898—92no—
190#898—92no—
191#898—92no—
192#898—182no—
193D3×C4⋊C4—32no—
194D3×C4⋊C4—92no—
195D3×C4⋊C4—92no—
196D3×C4⋊C4—181no—
197D3×C22⋊C4—92no—
198D3×C22⋊C4—92no—
199D3×C22⋊C4—92no—
200#879—92no—
201#879—92no—
202#879—92no—
203#876—92no—
204C42×D3—92no—
205C22×C3⋊D3C22×D312yes—
206C22×C3⋊D3C22×D311yescharacteristic
207C22×C3×D3—32no—
208C22×C3×D3—32no—
209C22×C3×D3—32no—
210C22×C3×D3—61no—
211C22×C3×D3—62no—
212C2×D32—64no—
213C2×D32—64no—
214C2×D32—64no—
215C2×D32—62no—
216C2×D32—62no—
217C2×D32—62no—
218C2×C32×C4—21no—
219C2×C32×C4—22no—
220C2×C32×C4—31no—
221C2×C32×C4—32no—
222C2×C32×C4—31no—
223C2×C32×C4—32no—
224C2×C32×C4—41no—
225C2×C32×C4C22×D312yes—
226C2×C32×C4C22×D311yescharacteristic
227C2×C3⋊Dic3—31no—
228C2×C3⋊Dic3—32no—
229C2×C3⋊Dic3—31no—
230C2×C3⋊Dic3—32no—
231C2×C3⋊Dic3—61no—
232C2×C3⋊Dic3—62no—
233C2×C3⋊Dic3—62no—
234C2×C3⋊Dic3—61no—
235C2×C3⋊Dic3—121no—
236C2×C3⋊Dic3—121no—
237C2×C3⋊Dic3C22×D312yes—
238C2×C3⋊Dic3C22×D311yescharacteristic
239C4×C3⋊D3—22no—
240C4×C3⋊D3—62no—
241C4×C3⋊D3—62no—
242C2×C3×Dic3—21no—
243C2×C3×Dic3—22no—
244C2×C3×Dic3—22no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—32no—
247C2×C3×Dic3—32no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—62no—
250C2×C3×Dic3—61no—
251C2×C3×Dic3C22×D312yes—
252C2×C3×Dic3C22×D312yes—
253C2×C3×Dic3C22×D312yes—
254C2×C3×Dic3C22×D312yes—
255C2×C3×Dic3C22×D312yes—
256C2×C3×Dic3C22×D312yes—
257C3×C4×D3—64no—
258C3×C4×D3—64no—
259C3×C4×D3—64no—
260C3×C4×D3—122no—
261#624—22no—
262#624—22no—
263#624—62no—
264D3×Dic3—64no—
265D3×Dic3—64no—
266D3×Dic3—64no—
267D3×Dic3—64no—
268D3×Dic3—122no—
269C2×#126—271noSylow
270C2×C33C2×#4111yescharacteristic
271C2×C33C2×#4111yescharacteristic
272C2×C33C2×#4111yescharacteristic
273C3×C3⋊D3—42no—
274C3×C3⋊D3#12614yescomplemented
275C23×D3—92no—
276C23×D3—91no—
277C22×C3×C4—91no—
278C22×C3×C4—91no—
279C22×C3×C4—91no—
280C22×Dic3—91no—
281C22×Dic3—91no—
282C22×Dic3—91no—
283C2×C4×D3—32no—
284C2×C4×D3—32no—
285C2×C4×D3—32no—
286C2×C4×D3—61no—
287C2×C4×D3—92no—
288C2×C4×D3—92no—
289C2×C4×D3—92no—
290C2×C4×D3—181no—
291C2×C4×D3—181no—
292C3×C4⋊C4—32no—
293C3×C4⋊C4—32no—
294C3×C4⋊C4—32no—
295C3×C4⋊C4—61no—
296C3×C4⋊C4—62no—
297C3×C4⋊C4—92no—
298C3×C4⋊C4—92no—
299C3×C22⋊C4—92no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4—92no—
302C3×C42—92no—
303#217—92no—
304#217—92no—
305#217—92no—
306(C2×D3)⋊C4—32no—
307(C2×D3)⋊C4—32no—
308(C2×D3)⋊C4—32no—
309(C2×D3)⋊C4—32no—
310(C2×D3)⋊C4—32no—
311(C2×D3)⋊C4—32no—
312(C2×D3)⋊C4—62no—
313(C2×D3)⋊C4—92no—
314(C2×D3)⋊C4—92no—
315(C2×D3)⋊C4—92no—
316(C2×D3)⋊C4—92no—
317(C2×D3)⋊C4—92no—
318(C2×D3)⋊C4—92no—
319(C2×D3)⋊C4—182no—
320(C2×D3)⋊C4—182no—
321C4⋊Dic3—32no—
322C4⋊Dic3—92no—
323C4⋊Dic3—92no—
324C4⋊Dic3—92no—
325C4⋊Dic3—181no—
326C4⋊Dic3—182no—
327C4⋊Dic3D3212yescomplemented
328Dic3⋊C4—32no—
329Dic3⋊C4—32no—
330Dic3⋊C4—32no—
331Dic3⋊C4—92no—
332Dic3⋊C4—92no—
333Dic3⋊C4—91no—
334Dic3⋊C4—92no—
335Dic3⋊C4—91no—
336Dic3⋊C4—91no—
337Dic3⋊C4—181no—
338Dic3⋊C4—181no—
339Dic3⋊C4—182no—
340Dic3⋊C4—361no—
341Dic3⋊C4D3211yescharacteristic, complemented
342C4×Dic3—32no—
343C4×Dic3—32no—
344C4×Dic3—92no—
345C4×Dic3—92no—
346C4×Dic3—92no—
347C4×Dic3—182no—
348C22×C32—22no—
349C22×C32—21no—
350C22×C32—41no—
351C22×C32C23×D311yescharacteristic
352C22×C32C23×D312yes—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—22no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3#23512yes—
357C2×C3⋊D3#23712yes—
358C2×C3⋊D3#23912yes—
359C2×C3×D3—34no—
360C2×C3×D3—34no—
361C2×C3×D3—34no—
362C2×C3×D3—62no—
363C2×C3×D3—62no—
364C2×C3×D3—62no—
365C2×C3×D3—62no—
366C2×C3×D3—62no—
367C2×C3×D3—62no—
368C2×C3×D3—62no—
369C2×C3×D3—62no—
370C2×C3×D3—62no—
371C2×C3×D3—122no—
372C2×C3×D3—122no—
373C2×C3×D3—122no—
374D32—128no—
375D32—124no—
376C32×C4—21no—
377C32×C4—22no—
378C32×C4—41no—
379C32×C4—42no—
380C32×C4—61no—
381C32×C4—61no—
382C32×C4—62no—
383C32×C4—62no—
384C32×C4—81no—
385C3⋊Dic3—21no—
386C3⋊Dic3—22no—
387C3⋊Dic3—61no—
388C3⋊Dic3—62no—
389C3⋊Dic3—61no—
390C3⋊Dic3—62no—
391C3⋊Dic3—62no—
392C3⋊Dic3—122no—
393C3⋊Dic3—122no—
394C3⋊Dic3—121no—
395C3⋊Dic3—122no—
396C3⋊Dic3—241no—
397C3×Dic3—22no—
398C3×Dic3—22no—
399C3×Dic3—22no—
400C3×Dic3—22no—
401C3×Dic3—22no—
402C3×Dic3—22no—
403C3×Dic3—22no—
404C3×Dic3—41no—
405C3×Dic3—42no—
406C3×Dic3—42no—
407C3×Dic3—62no—
408C3×Dic3—62no—
409C3×Dic3—62no—
410C3×Dic3—121no—
411C3×Dic3—122no—
412#126—92no—
413#126—272no—
414#126—272no—
415#126—272no—
416C2×C4⋊C4—91no—
417C2×C4⋊C4—271no—
418C2×C4⋊C4—271no—
419C2×C22⋊C4—271no—
420C2×C22⋊C4—271no—
421C2×C22⋊C4—271no—
422C2×C42—271no—
423C33C2×#12611yescharacteristic, complemented, Sylow
424C23×C3—91no—
425C23×C3—92no—
426C22×D3—32no—
427C22×D3—32no—
428C22×D3—32no—
429C22×D3—61no—
430C22×D3—62no—
431C22×D3—184no—
432C22×D3—184no—
433C22×D3—184no—
434C22×D3—182no—
435C22×D3—182no—
436C22×D3—182no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—32no—
440C2×C3×C4—32no—
441C2×C3×C4—32no—
442C2×C3×C4—32no—
443C2×C3×C4—32no—
444C2×C3×C4—32no—
445C2×C3×C4—41no—
446C2×C3×C4—61no—
447C2×C3×C4—62no—
448C2×C3×C4—61no—
449C2×C3×C4—62no—
450C2×C3×C4—92no—
451C2×C3×C4—91no—
452C2×C3×C4—182no—
453C2×C3×C4—182no—
454C2×C3×C4—182no—
455C2×C3×C4C2×D3211yescharacteristic
456C2×C3×C4C2×D3212yes—
457C2×Dic3—32no—
458C2×Dic3—32no—
459C2×Dic3—32no—
460C2×Dic3—62no—
461C2×Dic3—61no—
462C2×Dic3—91no—
463C2×Dic3—92no—
464C2×Dic3—92no—
465C2×Dic3—91no—
466C2×Dic3—181no—
467C2×Dic3—182no—
468C2×Dic3—182no—
469C2×Dic3—181no—
470C2×Dic3—182no—
471C2×Dic3—182no—
472C2×Dic3—182no—
473C2×Dic3—361no—
474C2×Dic3—361no—
475C2×Dic3C2×D3211yescharacteristic
476C2×Dic3C2×D3212yes—
477C2×Dic3C2×D3212yes—
478C2×Dic3C2×D3211yescharacteristic
479C4×D3—64no—
480C4×D3—64no—
481C4×D3—64no—
482C4×D3—122no—
483C4×D3—184no—
484C4×D3—184no—
485C4×D3—184no—
486C4×D3—184no—
487C4×D3—362no—
488C2×C32—22no—
489C2×C32—21no—
490C2×C32—22no—
491C2×C32—21no—
492C2×C32—22no—
493C2×C32—21no—
494C2×C32—41no—
495C2×C32—41no—
496C2×C32—41no—
497C2×C32C2×#23511yescharacteristic
498C2×C32C2×#23711yescharacteristic
499C2×C32C2×#23911yescharacteristic
500C2×C32D3×#4112yes—
501C2×C32D3×#4112yes—
502C2×C32D3×#4112yes—
503C3⋊D3—42no—
504C3⋊D3#89814yescomplemented
505C3×D3—38no—
506C3×D3—64no—
507C3×D3—122no—
508C3×D3—122no—
509C3×D3—242no—
510C24—271no—
511C22×C4—91no—
512C22×C4—91no—
513C22×C4—91no—
514C22×C4—271no—
515C22×C4—271no—
516C22×C4—271no—
517C4⋊C4—32no—
518C4⋊C4—31no—
519C4⋊C4—92no—
520C4⋊C4—92no—
521C4⋊C4—271no—
522C4⋊C4—271no—
523C4⋊C4—272no—
524C4⋊C4—271no—
525C22⋊C4—92no—
526C22⋊C4—92no—
527C22⋊C4—92no—
528C22⋊C4—272no—
529C22⋊C4—272no—
530C22⋊C4—272no—
531C42—92no—
532C42—272no—
533C22×C3—22no—
534C22×C3—21no—
535C22×C3—41no—
536C22×C3—92no—
537C22×C3—92no—
538C22×C3—92no—
539C22×C3—182no—
540C22×C3—182no—
541C22×C3—182no—
542C22×C3C22×D3212yes—
543C22×C3C22×D3211yescharacteristic
544C2×D3—34no—
545C2×D3—34no—
546C2×D3—34no—
547C2×D3—62no—
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—62no—
551C2×D3—62no—
552C2×D3—62no—
553C2×D3—62no—
554C2×D3—62no—
555C2×D3—62no—
556C2×D3—122no—
557C2×D3—122no—
558C2×D3—122no—
559C2×D3—368no—
560C2×D3—364no—
561C3×C4—22no—
562C3×C4—21no—
563C3×C4—41no—
564C3×C4—42no—
565C3×C4—62no—
566C3×C4—62no—
567C3×C4—62no—
568C3×C4—62no—
569C3×C4—62no—
570C3×C4—62no—
571C3×C4—62no—
572C3×C4—81no—
573C3×C4—121no—
574C3×C4—122no—
575C3×C4—122no—
576C3×C4—181no—
577C3×C4—182no—
578Dic3—21no—
579Dic3—22no—
580Dic3—22no—
581Dic3—21no—
582Dic3—62no—
583Dic3—62no—
584Dic3—62no—
585Dic3—121no—
586Dic3—122no—
587Dic3—182no—
588Dic3—182no—
589Dic3—181no—
590Dic3—181no—
591Dic3—182no—
592Dic3—361no—
593Dic3—362no—
594Dic3—362no—
595Dic3—362no—
596Dic3—721no—
597C32—22no—
598C32—21no—
599C32—41no—
600C32C2×#89811yescharacteristic, complemented
601C32D3×#12612yescomplemented
602C23—91no—
603C23—92no—
604C23—542no—
605C23—542no—
606C23—542no—
607C2×C4—31no—
608C2×C4—32no—
609C2×C4—31no—
610C2×C4—32no—
611C2×C4—92no—
612C2×C4—91no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4—182no—
616C2×C4—271no—
617C2×C4—271no—
618C2×C4—542no—
619C2×C4—542no—
620C2×C4—542no—
621C2×C4D3311yescharacteristic
622C2×C3—22no—
623C2×C3—21no—
624C2×C3—22no—
625C2×C3—21no—
626C2×C3—21no—
627C2×C3—22no—
628C2×C3—41no—
629C2×C3—41no—
630C2×C3—41no—
631C2×C3—94no—
632C2×C3—362no—
633C2×C3D3×#23512yes—
634C2×C3#6430611yescharacteristic
635C2×C3D3×#23712yes—
636C2×C3#6431211yescharacteristic
637C2×C3D3×#23912yes—
638C2×C3#6431911yescharacteristic
639D3—38no—
640D3—64no—
641D3—122no—
642D3—122no—
643D3—242no—
644C22—92no—
645C22—92no—
646C22—92no—
647C22—182no—
648C22—182no—
649C22—182no—
650C22—1084no—
651C22C2×D3311yescharacteristic
652C4—21no—
653C4—62no—
654C4—62no—
655C4—61no—
656C4—61no—
657C4—182no—
658C4—181no—
659C4—541no—
660C4—541no—
661C3—21no—
662C3—22no—
663C3—41no—
664C3D3×#89812yescomplemented
665C3#1059465611yescharacteristic, complemented
666C2—94no—
667C2—362no—
668C2#1172437411yescharacteristic
669C2#1172439111yescharacteristic
670C2#1172441011yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC2×C33×C4C23
prime radicalC22×#1113C22
hypercenterC2×C4D33
hypocenterC33C2×#126
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C3⋊D3×Dic3⋊C4C2semidirect
3. #11723407C2semidirect
4. C3×#63900C2semidirect
5. C3×#63848C2semidirect
6. #11723027C2semidirect
7. #11723023C2semidirect
8. #11722908C2semidirect
11. Dic3×#624C2semidirect
21. #88857C22semidirect
23. C32×C4⋊Dic3C22semidirect
24. C32×Dic3⋊C4C22semidirect
26. #88806C22semidirect
27. Dic3⋊(C3⋊Dic3)C22semidirect
28. Dic3⋊(C3⋊Dic3)C22semidirect
31. Dic3×C3⋊Dic3C22semidirect
32. C3×#3724C22semidirect
33. C3×Dic3⋊Dic3C22semidirect
36. C3×Dic32C22semidirect
48. #63900D3semidirect
64. #63848D3semidirect
127. C3×C4⋊Dic3C2×D3semidirect
128. C3×C4⋊Dic3C2×D3semidirect
133. C3×Dic3⋊C4C2×D3semidirect
138. #3724C2×D3semidirect
144. Dic3⋊Dic3C2×D3semidirect
159. Dic32C2×D3semidirect
274. C3×C3⋊D3#126semidirect
327. C4⋊Dic3D32semidirect
341. Dic3⋊C4D32semidirect
423. C33C2×#126semidirect
504. C3⋊D3#898semidirect
600. C32C2×#898semidirect
601. C32D3×#126semidirect
664. C3D3×#898semidirect
665. C3#10594656semidirect

Maximal subgroups

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

subgroupindex
#117237002
C3⋊D3×Dic3⋊C42
#117234072
C3×#639002
C3×#638482
#117230272
#117230232
#117229082
#117229052
Dic3×#6242
#105946563
D3×#8983