Finite Group Databasebeta

← #13167969

Subgroups — #13167969

Order 1728.

1270 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11723682C211yesmaximal, characteristic, complemented
2C3⋊D3×(C2×D3)⋊C4C211yesmaximal, characteristic
3#11723411C212yesmaximal, complemented
4C3×#63900C211yesmaximal, characteristic, complemented
5C3×#63858C212yesmaximal, complemented
6#11723022C212yesmaximal, complemented
7#11723021C212yesmaximal, complemented
8#11722908C211yesmaximal, characteristic, complemented
9#11722904C211yesmaximal, characteristic
10#11722904C211yesmaximal, characteristic
11Dic3×#624C211yesmaximal, characteristic, complemented
12D3×#898—32nomaximal
13#10594154—31nomaximal
14C22×D3×C3⋊D3C2211yescharacteristic
15C2×C3×C4×C3⋊D3C2211yescharacteristic
16C2×#6294C2211yescharacteristic
17C2×#6294C2211yescharacteristic
18C2×Dic3×C3⋊D3C2211yescharacteristic
19C2×C3×#624C2211yescharacteristic
20C2×C3×#624C2211yescharacteristic
21#88859C2211yescharacteristic
22C3×#3750C2212yescomplemented
23C32×(C2×D3)⋊C4C2211yescharacteristic
24C32×C4⋊Dic3C2212yescomplemented
25#88815C2212yescomplemented
26Dic3⋊(C3⋊Dic3)C2212yescomplemented
27#88804C2211yescharacteristic
28#88804C2212yes—
29#88804C2212yes—
30(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic
31Dic3×C3⋊Dic3C2212yescomplemented
32C3×#3724C2212yescomplemented
33C3×Dic3⋊Dic3C2212yescomplemented
34C3×(C2×D3)⋊Dic3C2212yes—
35C3×(C2×D3)⋊Dic3C2212yes—
36C3×Dic32C2212yescomplemented
37#64107—32no—
38C22⋊C4×C3⋊D3—31no—
39C3×#898—32no—
40C3×D3×C4⋊C4—32no—
41C3×#879—32no—
42#63974—31no—
43#63974—31no—
44#63956—32no—
45D3×(C2×D3)⋊C4—32no—
46D3×(C2×D3)⋊C4—32no—
47D3×(C2×D3)⋊C4—32no—
48D3×(C2×D3)⋊C4—61no—
49#63900D311yescharacteristic, complemented
50D3×C4⋊Dic3—32no—
51#63883—31no—
52#63883—31no—
53C4×#624—31no—
54D3×Dic3⋊C4—32no—
55C4×D3×Dic3—32no—
56#63868—32no—
57#63868—32no—
58#63862—32no—
59#63861—32no—
60#63858D312yescomplemented
61#63848—32no—
62#63848—32no—
63#63848—32no—
64#63848—62no—
65C22×C3⋊(C3⋊D3)C2311yescharacteristic
66C22×C3×C3⋊D3C2311yescharacteristic
67C22×C32×D3C2311yescharacteristic
68C2×D3×C3⋊D3—22no—
69C2×D3×C3⋊D3—22no—
70C2×D3×C3⋊D3—22no—
71C2×C33×C4C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C3×C4×C3⋊D3—22no—
77C2×C32×Dic3C2312yes—
78C2×C32×Dic3C2312yes—
79C2×C32×Dic3C2311yescharacteristic
80#6294—22no—
81#6294—22no—
82Dic3×C3⋊D3—22no—
83C3×#624—22no—
84C3×#624—22no—
85D3×#126—92no—
86C2×#898—91no—
87C23×C3⋊D3—31no—
88C22×D32—32no—
89C22×D32—61no—
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×#624—31no—
98C2×#624C2×D311yescharacteristic
99C2×#624C2×D311yescharacteristic
100C2×D3×Dic3—32no—
101C2×D3×Dic3—32no—
102C2×D3×Dic3—32no—
103C2×D3×Dic3—61no—
104C32×C4⋊C4—32no—
105C32×C22⋊C4—31no—
106#3757—31no—
107#3752—31no—
108#3752—32no—
109#3752—31no—
110#3752—32no—
111#3752—32no—
112#3752—62no—
113#3752—61no—
114#3752—121no—
115C4⋊(C3⋊Dic3)—32no—
116#3750C2×D312yescomplemented
117C4×C3⋊Dic3—32no—
118C3×#217—32no—
119C3×#217—32no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—32no—
122C3×(C2×D3)⋊C4—32no—
123C3×(C2×D3)⋊C4C2×D312yes—
124C3×C4⋊Dic3—22no—
125C3×C4⋊Dic3—32no—
126C3×C4⋊Dic3C2×D312yescomplemented
127C3×C4⋊Dic3C2×D312yescomplemented
128C3×Dic3⋊C4—32no—
129C3×Dic3⋊C4—32no—
130C3×Dic3⋊C4—32no—
131C3×Dic3⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—62no—
134C3×C4×Dic3—32no—
135C3×C4×Dic3—32no—
136#3724—32no—
137#3724C2×D312yescomplemented
138Dic3⋊Dic3—32no—
139Dic3⋊Dic3—32no—
140Dic3⋊Dic3—32no—
141Dic3⋊Dic3—32no—
142Dic3⋊Dic3—62no—
143Dic3⋊Dic3C2×D312yescomplemented
144#3722—32no—
145#3722—32no—
146#3722—32no—
147#3722—32no—
148#3722—32no—
149#3722—62no—
150#3722—62no—
151#3722—61no—
152(C2×D3)⋊Dic3—32no—
153(C2×D3)⋊Dic3—61no—
154(C2×D3)⋊Dic3C2×D312yes—
155(C2×D3)⋊Dic3C2×D312yes—
156Dic32—32no—
157Dic32—32no—
158Dic32—62no—
159Dic32C2×D312yescomplemented
160C22×C33C2411yescharacteristic
161C2×C3⋊(C3⋊D3)—21no—
162C2×C3⋊(C3⋊D3)—21no—
163C2×C3⋊(C3⋊D3)—21no—
164C2×C3×C3⋊D3#4112yes—
165C2×C3×C3⋊D3#4112yes—
166C2×C3×C3⋊D3#4112yes—
167C2×C32×D3—21no—
168C2×C32×D3—21no—
169C2×C32×D3—21no—
170D3×C3⋊D3—44no—
171C33×C4—21no—
172C3⋊(C3⋊Dic3)—21no—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3—22no—
175C3×C3⋊Dic3—21no—
176C32×Dic3—22no—
177C32×Dic3—22no—
178C32×Dic3—21no—
179C3×#126—92no—
180C2×C3×C4⋊C4—91no—
181C2×(C2×D3)⋊C4—91no—
182C2×(C2×D3)⋊C4—91no—
183C2×(C2×D3)⋊C4—91no—
184C2×C4⋊Dic3—91no—
185C2×Dic3⋊C4—91no—
186C2×C4×Dic3—91no—
187#898—32no—
188#898—92no—
189#898—92no—
190#898—92no—
191#898—92no—
192#898—92no—
193#898—92no—
194#898—182no—
195D3×C4⋊C4—32no—
196D3×C4⋊C4—92no—
197D3×C4⋊C4—92no—
198D3×C22⋊C4—92no—
199D3×C22⋊C4—92no—
200D3×C22⋊C4—92no—
201D3×C22⋊C4—181no—
202#879—32no—
203#879—92no—
204#879—92no—
205#876—92no—
206C42×D3—92no—
207C23×C32—31no—
208C22×C3⋊D3—32no—
209C22×C3⋊D3—31no—
210C22×C3⋊D3—61no—
211C22×C3⋊D3—62no—
212C22×C3⋊D3—62no—
213C22×C3⋊D3—62no—
214C22×C3⋊D3—62no—
215C22×C3⋊D3—121no—
216C22×C3⋊D3C22×D311yescharacteristic
217C22×C3×D3—21no—
218C22×C3×D3—32no—
219C22×C3×D3—61no—
220C22×C3×D3C22×D312yes—
221C2×D32—64no—
222C2×D32—64no—
223C2×D32—64no—
224C2×D32—64no—
225C2×D32—122no—
226C2×D32—122no—
227C2×C32×C4—22no—
228C2×C32×C4—21no—
229C2×C32×C4—31no—
230C2×C32×C4—32no—
231C2×C32×C4—32no—
232C2×C32×C4—41no—
233C2×C32×C4C22×D311yescharacteristic
234C2×C32×C4C22×D312yes—
235C2×C3⋊Dic3—31no—
236C2×C3⋊Dic3—32no—
237C2×C3⋊Dic3—62no—
238C2×C3⋊Dic3—61no—
239C2×C3⋊Dic3—121no—
240C2×C3⋊Dic3C22×D312yes—
241C2×C3⋊Dic3C22×D312yes—
242C2×C3⋊Dic3C22×D311yescharacteristic
243C4×C3⋊D3—22no—
244C4×C3⋊D3—62no—
245C2×C3×Dic3—22no—
246C2×C3×Dic3—22no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—32no—
249C2×C3×Dic3—32no—
250C2×C3×Dic3—32no—
251C2×C3×Dic3—32no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—62no—
254C2×C3×Dic3—61no—
255C2×C3×Dic3—62no—
256C2×C3×Dic3C22×D312yes—
257C2×C3×Dic3C22×D312yes—
258C2×C3×Dic3C22×D312yes—
259C2×C3×Dic3C22×D312yes—
260C2×C3×Dic3C22×D312yes—
261C3×C4×D3—64no—
262C3×C4×D3—64no—
263C3×C4×D3—64no—
264C3×C4×D3—122no—
265#624—22no—
266#624—22no—
267#624—62no—
268#624—62no—
269D3×Dic3—64no—
270D3×Dic3—64no—
271D3×Dic3—64no—
272D3×Dic3—122no—
273C2×#126—271noSylow
274C2×C33C2×#4111yescharacteristic
275C2×C33C2×#4111yescharacteristic
276C2×C33C2×#4111yescharacteristic
277C3⋊(C3⋊D3)—41no—
278C3×C3⋊D3#12614yescomplemented
279C32×D3—41no—
280C23×D3—92no—
281C23×D3—91no—
282C23×D3—181no—
283C22×C3×C4—91no—
284C22×C3×C4—91no—
285C22×C3×C4—91no—
286C22×Dic3—91no—
287C22×Dic3—91no—
288C22×Dic3—91no—
289C2×C4×D3—32no—
290C2×C4×D3—32no—
291C2×C4×D3—32no—
292C2×C4×D3—61no—
293C2×C4×D3—92no—
294C2×C4×D3—92no—
295C2×C4×D3—92no—
296C2×C4×D3—181no—
297C3×C4⋊C4—32no—
298C3×C4⋊C4—32no—
299C3×C4⋊C4—62no—
300C3×C4⋊C4—92no—
301C3×C4⋊C4—92no—
302C3×C4⋊C4—92no—
303C3×C22⋊C4—32no—
304C3×C22⋊C4—61no—
305C3×C22⋊C4—92no—
306C3×C22⋊C4—92no—
307C3×C42—92no—
308#217—32no—
309#217—32no—
310#217—92no—
311#217—181no—
312(C2×D3)⋊C4—32no—
313(C2×D3)⋊C4—32no—
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—91no—
320(C2×D3)⋊C4—92no—
321(C2×D3)⋊C4—91no—
322(C2×D3)⋊C4—92no—
323(C2×D3)⋊C4—92no—
324(C2×D3)⋊C4—91no—
325(C2×D3)⋊C4—181no—
326(C2×D3)⋊C4—182no—
327(C2×D3)⋊C4—182no—
328(C2×D3)⋊C4—181no—
329(C2×D3)⋊C4—182no—
330(C2×D3)⋊C4—361no—
331(C2×D3)⋊C4D3211yescharacteristic
332C4⋊Dic3—32no—
333C4⋊Dic3—92no—
334C4⋊Dic3—92no—
335C4⋊Dic3—92no—
336C4⋊Dic3—182no—
337C4⋊Dic3D3212yescomplemented
338Dic3⋊C4—32no—
339Dic3⋊C4—32no—
340Dic3⋊C4—32no—
341Dic3⋊C4—32no—
342Dic3⋊C4—32no—
343Dic3⋊C4—62no—
344Dic3⋊C4—92no—
345Dic3⋊C4—92no—
346Dic3⋊C4—92no—
347C4×Dic3—32no—
348C4×Dic3—32no—
349C4×Dic3—92no—
350C4×Dic3—92no—
351C4×Dic3—92no—
352C4×Dic3—182no—
353C22×C32—22no—
354C22×C32—21no—
355C22×C32—41no—
356C22×C32—61no—
357C22×C32—61no—
358C22×C32—61no—
359C22×C32C23×D311yescharacteristic
360C22×C32C23×D312yes—
361C2×C3⋊D3—61no—
362C2×C3⋊D3—62no—
363C2×C3⋊D3—61no—
364C2×C3⋊D3—61no—
365C2×C3⋊D3—62no—
366C2×C3⋊D3—62no—
367C2×C3⋊D3—62no—
368C2×C3⋊D3—122no—
369C2×C3⋊D3—122no—
370C2×C3⋊D3—121no—
371C2×C3⋊D3—121no—
372C2×C3⋊D3—122no—
373C2×C3⋊D3—122no—
374C2×C3⋊D3—124no—
375C2×C3⋊D3—241no—
376C2×C3⋊D3—241no—
377C2×C3⋊D3#23512yes—
378C2×C3⋊D3#23712yes—
379C2×C3⋊D3#23912yes—
380C2×C3×D3—22no—
381C2×C3×D3—22no—
382C2×C3×D3—22no—
383C2×C3×D3—22no—
384C2×C3×D3—34no—
385C2×C3×D3—34no—
386C2×C3×D3—34no—
387C2×C3×D3—41no—
388C2×C3×D3—41no—
389C2×C3×D3—62no—
390C2×C3×D3—62no—
391C2×C3×D3—62no—
392D32—128no—
393D32—128no—
394C32×C4—21no—
395C32×C4—22no—
396C32×C4—41no—
397C32×C4—42no—
398C32×C4—61no—
399C32×C4—62no—
400C32×C4—62no—
401C32×C4—81no—
402C3⋊Dic3—21no—
403C3⋊Dic3—22no—
404C3⋊Dic3—22no—
405C3⋊Dic3—61no—
406C3⋊Dic3—62no—
407C3⋊Dic3—121no—
408C3⋊Dic3—122no—
409C3⋊Dic3—241no—
410C3×Dic3—22no—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—22no—
414C3×Dic3—22no—
415C3×Dic3—41no—
416C3×Dic3—42no—
417C3×Dic3—42no—
418C3×Dic3—62no—
419C3×Dic3—62no—
420C3×Dic3—62no—
421C3×Dic3—62no—
422C3×Dic3—62no—
423C3×Dic3—121no—
424C3×Dic3—122no—
425C3×Dic3—122no—
426#126—92no—
427#126—272no—
428#126—272no—
429#126—272no—
430C2×C4⋊C4—91no—
431C2×C4⋊C4—271no—
432C2×C4⋊C4—271no—
433C2×C22⋊C4—271no—
434C2×C22⋊C4—271no—
435C2×C22⋊C4—271no—
436C2×C42—271no—
437C33C2×#12611yescharacteristic, complemented, Sylow
438C23×C3—32no—
439C23×C3—61no—
440C23×C3—91no—
441C22×D3—32no—
442C22×D3—61no—
443C22×D3—92no—
444C22×D3—91no—
445C22×D3—181no—
446C22×D3—182no—
447C22×D3—182no—
448C22×D3—182no—
449C22×D3—182no—
450C22×D3—184no—
451C22×D3—184no—
452C22×D3—184no—
453C22×D3—184no—
454C22×D3—361no—
455C22×D3—362no—
456C22×D3—362no—
457C22×D3C2×D3211yescharacteristic
458C2×C3×C4—22no—
459C2×C3×C4—21no—
460C2×C3×C4—32no—
461C2×C3×C4—32no—
462C2×C3×C4—32no—
463C2×C3×C4—32no—
464C2×C3×C4—32no—
465C2×C3×C4—41no—
466C2×C3×C4—62no—
467C2×C3×C4—62no—
468C2×C3×C4—61no—
469C2×C3×C4—92no—
470C2×C3×C4—91no—
471C2×C3×C4—92no—
472C2×C3×C4—182no—
473C2×C3×C4—182no—
474C2×C3×C4—182no—
475C2×C3×C4C2×D3211yescharacteristic
476C2×C3×C4C2×D3212yes—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—32no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—62no—
483C2×Dic3—62no—
484C2×Dic3—61no—
485C2×Dic3—92no—
486C2×Dic3—91no—
487C2×Dic3—182no—
488C2×Dic3—181no—
489C2×Dic3—182no—
490C2×Dic3—182no—
491C2×Dic3—182no—
492C2×Dic3—361no—
493C2×Dic3C2×D3211yescharacteristic
494C2×Dic3C2×D3212yes—
495C2×Dic3C2×D3212yes—
496C4×D3—64no—
497C4×D3—64no—
498C4×D3—64no—
499C4×D3—122no—
500C4×D3—184no—
501C4×D3—184no—
502C4×D3—184no—
503C4×D3—362no—
504C2×C32—22no—
505C2×C32—21no—
506C2×C32—22no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—22no—
510C2×C32—41no—
511C2×C32—41no—
512C2×C32—41no—
513C2×C32—121no—
514C2×C32C2×#23511yescharacteristic
515C2×C32C2×#23711yescharacteristic
516C2×C32C2×#23911yescharacteristic
517C2×C32D3×#4112yes—
518C2×C32D3×#4112yes—
519C2×C32D3×#4112yes—
520C3⋊D3—121no—
521C3⋊D3—122no—
522C3⋊D3—122no—
523C3⋊D3—242no—
524C3⋊D3—242no—
525C3⋊D3#89814yescomplemented
526C3×D3—38no—
527C3×D3—42no—
528C3×D3—42no—
529C3×D3—64no—
530C24—271no—
531C22×C4—91no—
532C22×C4—91no—
533C22×C4—91no—
534C22×C4—271no—
535C22×C4—271no—
536C22×C4—271no—
537C4⋊C4—32no—
538C4⋊C4—92no—
539C4⋊C4—92no—
540C4⋊C4—92no—
541C4⋊C4—272no—
542C4⋊C4—272no—
543C22⋊C4—31no—
544C22⋊C4—92no—
545C22⋊C4—92no—
546C22⋊C4—271no—
547C22⋊C4—272no—
548C22⋊C4—272no—
549C22⋊C4—271no—
550C22⋊C4—271no—
551C42—92no—
552C42—272no—
553C22×C3—22no—
554C22×C3—21no—
555C22×C3—41no—
556C22×C3—62no—
557C22×C3—62no—
558C22×C3—62no—
559C22×C3—62no—
560C22×C3—92no—
561C22×C3—92no—
562C22×C3—92no—
563C22×C3—121no—
564C22×C3—121no—
565C22×C3C22×D3212yes—
566C22×C3C22×D3211yescharacteristic
567C2×D3—21no—
568C2×D3—21no—
569C2×D3—21no—
570C2×D3—34no—
571C2×D3—34no—
572C2×D3—34no—
573C2×D3—62no—
574C2×D3—62no—
575C2×D3—62no—
576C2×D3—182no—
577C2×D3—182no—
578C2×D3—181no—
579C2×D3—182no—
580C2×D3—181no—
581C2×D3—181no—
582C2×D3—182no—
583C2×D3—361no—
584C2×D3—361no—
585C2×D3—362no—
586C2×D3—362no—
587C2×D3—362no—
588C2×D3—362no—
589C2×D3—368no—
590C2×D3—364no—
591C2×D3—368no—
592C2×D3—721no—
593C2×D3—721no—
594C3×C4—22no—
595C3×C4—21no—
596C3×C4—41no—
597C3×C4—42no—
598C3×C4—62no—
599C3×C4—62no—
600C3×C4—62no—
601C3×C4—62no—
602C3×C4—62no—
603C3×C4—81no—
604C3×C4—121no—
605C3×C4—122no—
606C3×C4—122no—
607C3×C4—182no—
608C3×C4—181no—
609C3×C4—182no—
610Dic3—22no—
611Dic3—22no—
612Dic3—21no—
613Dic3—62no—
614Dic3—62no—
615Dic3—62no—
616Dic3—62no—
617Dic3—62no—
618Dic3—121no—
619Dic3—122no—
620Dic3—122no—
621Dic3—181no—
622Dic3—182no—
623Dic3—361no—
624Dic3—362no—
625Dic3—721no—
626C32—22no—
627C32—21no—
628C32—41no—
629C32C2×#89811yescharacteristic, complemented
630C32D3×#12612yescomplemented
631C23—31no—
632C23—91no—
633C23—271no—
634C23—542no—
635C23—542no—
636C23—542no—
637C2×C4—31no—
638C2×C4—32no—
639C2×C4—32no—
640C2×C4—92no—
641C2×C4—92no—
642C2×C4—91no—
643C2×C4—182no—
644C2×C4—182no—
645C2×C4—182no—
646C2×C4—271no—
647C2×C4—542no—
648C2×C4—542no—
649C2×C4—542no—
650C2×C4D3311yescharacteristic
651C2×C3—22no—
652C2×C3—21no—
653C2×C3—22no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—22no—
657C2×C3—41no—
658C2×C3—41no—
659C2×C3—41no—
660C2×C3—94no—
661C2×C3—122no—
662C2×C3—122no—
663C2×C3D3×#23512yes—
664C2×C3#6430611yescharacteristic
665C2×C3D3×#23712yes—
666C2×C3#6431211yescharacteristic
667C2×C3#6431211yescharacteristic
668C2×C3D3×#23912yes—
669D3—38no—
670D3—41no—
671D3—64no—
672D3—362no—
673D3—362no—
674D3—361no—
675D3—722no—
676D3—722no—
677C22—61no—
678C22—61no—
679C22—61no—
680C22—92no—
681C22—92no—
682C22—92no—
683C22—541no—
684C22—541no—
685C22—541no—
686C22—1084no—
687C22C2×D3311yescharacteristic
688C4—21no—
689C4—62no—
690C4—62no—
691C4—61no—
692C4—182no—
693C4—181no—
694C4—182no—
695C4—541no—
696C3—21no—
697C3—22no—
698C3—41no—
699C3#1059415411yescharacteristic, complemented
700C3D3×#89812yescomplemented
701C2—94no—
702C2—121no—
703C2—1081no—
704C2#1172437311yescharacteristic
705C2#1172437711yescharacteristic
706C2#1172441011yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC2×C33×C4C23
prime radicalC22×D3×C3⋊D3C22
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
1. #11723682C2semidirect
3. #11723411C2semidirect
4. C3×#63900C2semidirect
5. C3×#63858C2semidirect
6. #11723022C2semidirect
7. #11723021C2semidirect
8. #11722908C2semidirect
11. Dic3×#624C2semidirect
22. C3×#3750C22semidirect
24. C32×C4⋊Dic3C22semidirect
25. #88815C22semidirect
26. Dic3⋊(C3⋊Dic3)C22semidirect
31. Dic3×C3⋊Dic3C22semidirect
32. C3×#3724C22semidirect
33. C3×Dic3⋊Dic3C22semidirect
36. C3×Dic32C22semidirect
49. #63900D3semidirect
60. #63858D3semidirect
116. #3750C2×D3semidirect
126. C3×C4⋊Dic3C2×D3semidirect
127. C3×C4⋊Dic3C2×D3semidirect
137. #3724C2×D3semidirect
143. Dic3⋊Dic3C2×D3semidirect
159. Dic32C2×D3semidirect
278. C3×C3⋊D3#126semidirect
337. C4⋊Dic3D32semidirect
437. C33C2×#126semidirect
525. C3⋊D3#898semidirect
629. C32C2×#898semidirect
630. C32D3×#126semidirect
699. C3#10594154semidirect
700. C3D3×#898semidirect

Maximal subgroups

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

subgroupindex
#117236822
C3⋊D3×(C2×D3)⋊C42
#117234112
C3×#639002
C3×#638582
#117230222
#117230212
#117229082
#117229042
Dic3×#6242
D3×#8983
#105941543