Finite Group Databasebeta

← #13176549

Subgroups — #13176549

Order 1728.

2380 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×#89020C211yesmaximal, characteristic, complemented
3#11723936C211yesmaximal, characteristic, complemented
4C3×#64104C211yesmaximal, characteristic, complemented
5C32×#892C211yesmaximal, characteristic, complemented
6#11723542C212yesmaximal, complemented
7#11723541C212yesmaximal, complemented
8#11723532C211yesmaximal, characteristic, complemented
9#11723526C211yesmaximal, characteristic, complemented
10#11723517C212yesmaximal, complemented
11#11723416C212yesmaximal, complemented
12#10595996—31nomaximal
13#10594628—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
16C2×C4⋊(C3⋊(C3⋊D3))C2212yescomplemented
17C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
20C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
21C2×C32×C4×D3C2211yescharacteristic
22C2×#6293C2211yescharacteristic, complemented
23C2×#6292C2212yes—
24C2×#6292C2211yescharacteristic, complemented
25C2×#6292C2212yescomplemented
26C2×#6292C2212yescomplemented
27C2×#6291C2211yescharacteristic
28C2×#6290C2211yescharacteristic
29D3×C4⋊(C3⋊D3)—24no—
30#89020—24no—
31C33×C4⋊C4C2211yescharacteristic, complemented
32#88859C2212yescomplemented
33C3×#3752C2212yescomplemented
34C32×(C2×D3)⋊C4C2212yes—
35C32×C4⋊Dic3C2211yescharacteristic, complemented
36C32×C4×Dic3C2212yescomplemented
37#88804C2212yescomplemented
38#88803C2212yescomplemented
39C2×#3828—31no—
40C22×C4⋊(C3⋊D3)—31no—
41C2×D3×D12—34no—
42C2×#3798—34no—
43C32×#117—31no—
44#64104—31no—
45#64104—31no—
46#64104—31no—
47#64104—34no—
48#64104—64no—
49#64104D311yescharacteristic, complemented
50#64091—32no—
51#64091—32no—
52#64084—32no—
53#64083—32no—
54C3×#895—34no—
55C3×#892D314yescomplemented
56#63923—38no—
57#63922—38no—
58#63916—34no—
59#63911—38no—
60#63909—34no—
61#63852—38no—
62C22×C3⋊(C3⋊D3)C2312yes—
63C22×C3⋊(C3⋊D3)C2311yescharacteristic
64C22×C3×C3⋊D3C2312yes—
65C22×C3×C3⋊D3C2311yescharacteristic
66C22×C32×D3C2311yescharacteristic
67C2×D3×C3⋊D3—24no—
68C2×D3×C3⋊D3—42no—
69C2×D3×C3⋊D3—42no—
70C2×C33×C4C2312yes—
71C2×C33×C4C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C4⋊(C3⋊(C3⋊D3))—22no—
74C4⋊(C3⋊(C3⋊D3))—42no—
75C4×C3⋊(C3⋊D3)—22no—
76C2×C3×C3⋊Dic3C2311yescharacteristic
77C3×C4⋊(C3⋊D3)—22no—
78C3×C4⋊(C3⋊D3)—42no—
79C3×C4×C3⋊D3—22no—
80C2×C32×Dic3C2312yes—
81C2×C32×Dic3C2311yescharacteristic
82C32×C4×D3D414yescomplemented
83#6293—22no—
84#6292—22no—
85#6292—24no—
86#6292—42no—
87#6292—42no—
88#6291—22no—
89#6290—22no—
90#5607—91no—
91#5525—94no—
92C23×C3⋊D3—32no—
93C22×D32—38no—
94C22×C32×C4—31no—
95C2×#638—31no—
96C2×#638—31no—
97#3828—64no—
98C2×C4⋊(C3⋊D3)—31no—
99C2×C4⋊(C3⋊D3)—32no—
100C2×C4⋊(C3⋊D3)—31no—
101C2×C4⋊(C3⋊D3)—34no—
102C2×C4⋊(C3⋊D3)—32no—
103C2×C4⋊(C3⋊D3)—32no—
104C2×C4⋊(C3⋊D3)—32no—
105C2×C4⋊(C3⋊D3)—38no—
106C2×C4⋊(C3⋊D3)—64no—
107C2×C4⋊(C3⋊D3)—64no—
108C2×C4⋊(C3⋊D3)—68no—
109C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
110C2×C4⋊(C3⋊D3)C2×D312yescomplemented
111C2×C4×C3⋊D3—31no—
112C2×C4×C3⋊D3—34no—
113C2×C4×C3⋊D3—64no—
114C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
115C2×#634—31no—
116C2×C3×D12—34no—
117C2×C3×D12—38no—
118C2×C3×C4×D3—34no—
119C2×C3×C4×D3C2×D314yes—
120C2×#627—34no—
121C2×#626—34no—
122C2×#626—34no—
123C2×#626—38no—
124C2×#626—38no—
125C2×#626—38no—
126C2×#625—34no—
127D3×D12—616no—
128#3798—616no—
129C32×C4⋊C4—24no—
130C32×C4⋊C4—31no—
131C32×C4⋊C4C2×D314yescomplemented
132C32×C4⋊C4C2×D311yescharacteristic, complemented
133C32×C22⋊C4—32no—
134C32×C42—32no—
135#3752—32no—
136#3752—32no—
137#3752—38no—
138#3752—32no—
139#3752—68no—
140#3752C2×D312yescomplemented
141C3×(C2×D3)⋊C4—38no—
142C3×(C2×D3)⋊C4C2×D318yes—
143C3×C4⋊Dic3C2×D314yescomplemented
144C3×C4×Dic3C2×D318yescomplemented
145#3722—38no—
146(C2×D3)⋊Dic3—38no—
147C22×C33C2411yescharacteristic
148C2×C3⋊(C3⋊D3)—21no—
149C2×C3⋊(C3⋊D3)—22no—
150C2×C3⋊(C3⋊D3)—21no—
151C2×C3⋊(C3⋊D3)—21no—
152C2×C3⋊(C3⋊D3)—22no—
153C2×C3⋊(C3⋊D3)—22no—
154C2×C3×C3⋊D3—21no—
155C2×C3×C3⋊D3—22no—
156C2×C3×C3⋊D3—21no—
157C2×C3×C3⋊D3—22no—
158C2×C3×C3⋊D3—21no—
159C2×C3×C3⋊D3—22no—
160C2×C32×D3—21no—
161C2×C32×D3—21no—
162C2×C32×D3C2×D412yes—
163D3×C3⋊D3—48no—
164C33×C4—22no—
165C33×C4C2×D412yes—
166C3⋊(C3⋊Dic3)—21no—
167C3×C3⋊Dic3—21no—
168C32×Dic3—22no—
169C32×Dic3C2×D412yes—
170C2×D3×D4—91no—
171C2×#235—94no—
172C2×#235—91no—
173C22×D12—94no—
174C3×#121—91no—
175C3×#117—34no—
176#940—92no—
177#938—91no—
178#937—92no—
179#930—91no—
180#895—34no—
181#895—94no—
182#895—94no—
183#895—94no—
184#895—91no—
185#895—184no—
186#892C3⋊D311yescharacteristic, complemented
187#885—92no—
188#882—98no—
189#882—98no—
190#882—92no—
191#875—98no—
192#874—98no—
193C23×C32—31no—
194C22×C3⋊D3—32no—
195C22×C3⋊D3—31no—
196C22×C3⋊D3—38no—
197C22×C3⋊D3—34no—
198C22×C3⋊D3—64no—
199C22×C3⋊D3—68no—
200C22×C3⋊D3—64no—
201C22×C3⋊D3—122no—
202C22×C3⋊D3—122no—
203C22×C3⋊D3C22×D312yes—
204C22×C3⋊D3C22×D311yescharacteristic
205C22×C3×D3—38no—
206C22×C3×D3—34no—
207C22×C3×D3C22×D314yes—
208C2×D32—616no—
209C2×D32—128no—
210C2×D32—128no—
211C2×C32×C4—24no—
212C2×C32×C4—28no—
213C2×C32×C4—31no—
214C2×C32×C4—34no—
215C2×C32×C4—32no—
216C2×C32×C4C22×D318yes—
217C2×C32×C4C22×D314yes—
218C2×C32×C4C22×D312yes—
219C2×C32×C4C22×D311yescharacteristic
220#638—62no—
221#638—62no—
222C2×C3⋊Dic3—31no—
223C2×C3⋊Dic3—34no—
224C2×C3⋊Dic3—64no—
225C2×C3⋊Dic3C22×D311yescharacteristic
226C4⋊(C3⋊D3)—22no—
227C4⋊(C3⋊D3)—42no—
228C4⋊(C3⋊D3)—64no—
229C4⋊(C3⋊D3)—62no—
230C4⋊(C3⋊D3)—62no—
231C4⋊(C3⋊D3)—68no—
232C4⋊(C3⋊D3)—128no—
233C4⋊(C3⋊D3)—122no—
234C4⋊(C3⋊D3)—128no—
235C4⋊(C3⋊D3)—1216no—
236C4⋊(C3⋊D3)—122no—
237C4⋊(C3⋊D3)—122no—
238C4×C3⋊D3—22no—
239C4×C3⋊D3—62no—
240C4×C3⋊D3—68no—
241C4×C3⋊D3—128no—
242#634—62no—
243C2×C3×Dic3—34no—
244C2×C3×Dic3C22×D318yes—
245C2×C3×Dic3C22×D314yes—
246C3×D12—68no—
247C3×D12—128no—
248C3×C4×D3—68no—
249C3×C4×D3D12116yescomplemented
250#627—68no—
251#626—68no—
252#626—68no—
253#626—616no—
254#626—128no—
255#626—128no—
256#625—68no—
257#535—271noSylow
258C2×C33C22×D411yescharacteristic
259C2×C33H(5,𝔽2)11yescharacteristic
260C2×C33H(5,𝔽2)11yescharacteristic
261C3⋊(C3⋊D3)—41no—
262C3⋊(C3⋊D3)—42no—
263C3×C3⋊D3—42no—
264C3×C3⋊D3—41no—
265C32×D3—22no—
266C23×D3—98no—
267C23×D3—92no—
268C2×C3×D4—91no—
269C2×C3×D4—92no—
270C22×C3×C4—34no—
271C22×C3×C4—91no—
272C2×#67—94no—
273C2×#67—94no—
274C2×#67—91no—
275C2×#67—92no—
276C2×#67—91no—
277C2×#67—92no—
278C2×#67—92no—
279D3×D4—184no—
280#235—1816no—
281#235—184no—
282C2×D12—34no—
283C2×D12—38no—
284C2×D12—94no—
285C2×D12—98no—
286C2×D12—91no—
287C2×D12—94no—
288C2×D12—91no—
289C2×D12—98no—
290C2×D12—98no—
291C2×D12—98no—
292C2×D12—92no—
293C2×D12—184no—
294C2×D12—188no—
295C2×D12—1816no—
296C2×C4×D3—34no—
297C2×C4×D3—94no—
298C2×C4×D3—91no—
299C2×C4×D3—184no—
300C2×C4×D3C2×C3⋊D311yescharacteristic
301C2×Dic6—94no—
302C2×Dic6—91no—
303C3×C4⋊C4—24no—
304C3×C4⋊C4—34no—
305C3×C4⋊C4D3214yescomplemented
306C3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
307C3×C22⋊C4—38no—
308C3×C22⋊C4—92no—
309C3×C42—38no—
310#217—92no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—98no—
313(C2×D3)⋊C4—98no—
314(C2×D3)⋊C4—98no—
315(C2×D3)⋊C4—92no—
316(C2×D3)⋊C4—92no—
317(C2×D3)⋊C4—188no—
318(C2×D3)⋊C4C2×C3⋊D312yes—
319C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
320C4×Dic3C2×C3⋊D312yescomplemented
321C22×C32—24no—
322C22×C32—32no—
323C22×C32—61no—
324C22×C32—61no—
325C22×C32C23×D314yes—
326C22×C32C23×D311yescharacteristic
327C2×C3⋊D3—21no—
328C2×C3⋊D3—22no—
329C2×C3⋊D3—21no—
330C2×C3⋊D3—22no—
331C2×C3⋊D3—21no—
332C2×C3⋊D3—22no—
333C2×C3⋊D3—68no—
334C2×C3⋊D3—61no—
335C2×C3⋊D3—62no—
336C2×C3⋊D3—61no—
337C2×C3⋊D3—62no—
338C2×C3⋊D3—64no—
339C2×C3⋊D3—61no—
340C2×C3⋊D3—62no—
341C2×C3⋊D3—64no—
342C2×C3⋊D3—68no—
343C2×C3⋊D3—64no—
344C2×C3⋊D3—68no—
345C2×C3⋊D3—68no—
346C2×C3⋊D3—124no—
347C2×C3⋊D3—124no—
348C2×C3⋊D3—128no—
349C2×C3⋊D3—128no—
350C2×C3⋊D3—128no—
351C2×C3⋊D3—128no—
352C2×C3×D3—24no—
353C2×C3×D3—24no—
354C2×C3×D3—64no—
355C2×C3×D3—68no—
356C2×C3×D3—64no—
357C2×C3×D3—68no—
358C2×C3×D3—64no—
359C2×C3×D3—68no—
360C2×C3×D3C2×D1218yes—
361D32—1232no—
362C32×C4—22no—
363C32×C4—28no—
364C32×C4—28no—
365C32×C4—32no—
366C32×C4—48no—
367C32×C4—62no—
368C32×C4C2×D1218yes—
369C32×C4D3×D412yes—
370C3⋊Dic3—21no—
371C3⋊Dic3—61no—
372C3⋊Dic3—64no—
373C3⋊Dic3—124no—
374C3×Dic3—28no—
375C3×Dic3—64no—
376C3×Dic3C2×D1218yes—
377C2×#41—271no—
378C22×D4—271no—
379#127—272no—
380#124—272no—
381#121—91no—
382#121—271no—
383#121—271no—
384#121—271no—
385#120—272no—
386#120—272no—
387#117—31no—
388C33#53511yescharacteristic, complemented, Sylow
389C23×C3—34no—
390C23×C3—92no—
391C23×C3—91no—
392C22×D3—38no—
393C22×D3—34no—
394C22×D3—98no—
395C22×D3—94no—
396C22×D3—92no—
397C22×D3—91no—
398C22×D3—184no—
399C22×D3—188no—
400C22×D3—1816no—
401C22×D3—184no—
402C22×D3—362no—
403C22×D3—362no—
404C22×D3—368no—
405C22×D3—368no—
406C22×D3C22×C3⋊D311yescharacteristic
407C3×D4—182no—
408C3×D4—362no—
409C2×C3×C4—24no—
410C2×C3×C4—28no—
411C2×C3×C4—34no—
412C2×C3×C4—316no—
413C2×C3×C4—38no—
414C2×C3×C4—91no—
415C2×C3×C4—182no—
416C2×C3×C4C2×D3218yes—
417C2×C3×C4C2×D3214yes—
418C2×C3×C4C22×C3⋊D312yes—
419C2×C3×C4C22×C3⋊D311yescharacteristic
420#67—188no—
421#67—188no—
422#67—182no—
423#67—182no—
424#67—184no—
425#67—362no—
426#67—362no—
427C2×Dic3—34no—
428C2×Dic3—94no—
429C2×Dic3—91no—
430C2×Dic3—184no—
431C2×Dic3C22×C3⋊D312yes—
432C2×Dic3C22×C3⋊D311yescharacteristic
433D12—68no—
434D12—128no—
435D12—1816no—
436D12—188no—
437D12—182no—
438D12—188no—
439D12—182no—
440D12—368no—
441D12—368no—
442D12—362no—
443D12—3616no—
444D12—368no—
445D12—368no—
446C4×D3—68no—
447C4×D3—188no—
448C4×D3—182no—
449C4×D3—368no—
450C4×D3C4⋊(C3⋊D3)14yescomplemented
451Dic6—188no—
452Dic6—182no—
453C2×C32—24no—
454C2×C32—24no—
455C2×C32—24no—
456C2×C32—62no—
457C2×C32C22×D1214yes—
458C2×C32C2×D3×D411yescharacteristic
459C2×C32#100411yescharacteristic
460C2×C32#100914yes—
461C2×C32#100914yes—
462C2×C32#100911yescharacteristic
463C3⋊D3—41no—
464C3⋊D3—42no—
465C3⋊D3—128no—
466C3⋊D3—124no—
467C3⋊D3—121no—
468C3⋊D3—122no—
469C3⋊D3—128no—
470C3⋊D3—248no—
471C3×D3—28no—
472C3×D3—128no—
473C3×D3—124no—
474C24—272no—
475#41—544no—
476C2×Q8—271no—
477C2×D4—91no—
478C2×D4—92no—
479C2×D4—272no—
480C2×D4—271no—
481C2×D4—272no—
482C2×D4—272no—
483C2×D4—271no—
484C2×D4—271no—
485C2×D4—271no—
486C2×D4—272no—
487C2×D4—544no—
488C22×C4—31no—
489C22×C4—91no—
490C22×C4—271no—
491C4⋊C4—31no—
492C4⋊C4D3×C3⋊D311yescharacteristic, complemented
493C22⋊C4—32no—
494C22⋊C4—92no—
495C22⋊C4—272no—
496C22⋊C4—272no—
497C22⋊C4—272no—
498C42—32no—
499C22×C3—24no—
500C22×C3—38no—
501C22×C3—64no—
502C22×C3—64no—
503C22×C3—181no—
504C22×C3—182no—
505C22×C3—181no—
506C22×C3—182no—
507C22×C3—181no—
508C22×C3—182no—
509C22×C3C22×D3214yes—
510C22×C3C23×C3⋊D311yescharacteristic
511C2×D3—21no—
512C2×D3—21no—
513C2×D3—64no—
514C2×D3—68no—
515C2×D3—64no—
516C2×D3—68no—
517C2×D3—64no—
518C2×D3—68no—
519C2×D3—188no—
520C2×D3—184no—
521C2×D3—188no—
522C2×D3—184no—
523C2×D3—188no—
524C2×D3—184no—
525C2×D3—188no—
526C2×D3—181no—
527C2×D3—182no—
528C2×D3—181no—
529C2×D3—182no—
530C2×D3—181no—
531C2×D3—182no—
532C2×D3—364no—
533C2×D3—364no—
534C2×D3—368no—
535C2×D3—368no—
536C2×D3—368no—
537C2×D3—368no—
538C2×D3—3632no—
539C2×D3C2×C4⋊(C3⋊D3)12yes—
540C3×C4—28no—
541C3×C4—22no—
542C3×C4—28no—
543C3×C4—38no—
544C3×C4—48no—
545C3×C4—68no—
546C3×C4—181no—
547C3×C4D3×D1218yes—
548C3×C4C2×C4⋊(C3⋊D3)12yes—
549Dic3—22no—
550Dic3—64no—
551Dic3—184no—
552Dic3—181no—
553Dic3—364no—
554Dic3C2×C4⋊(C3⋊D3)12yes—
555C32—24no—
556C32#552514yescomplemented
557C32#560711yescharacteristic, complemented
558C23—31no—
559C23—92no—
560C23—91no—
561C23—272no—
562C23—271no—
563C23—544no—
564C23—1082no—
565C23—1082no—
566Q8—542no—
567D4—182no—
568D4—362no—
569D4—544no—
570D4—542no—
571D4—542no—
572D4—542no—
573D4—542no—
574D4—1082no—
575D4—1082no—
576D4—1082no—
577C2×C4—31no—
578C2×C4—34no—
579C2×C4—32no—
580C2×C4—91no—
581C2×C4—182no—
582C2×C4—271no—
583C2×C4—542no—
584C2×C4C2×D3×C3⋊D312yes—
585C2×C4C2×D3×C3⋊D311yescharacteristic
586C2×C3—24no—
587C2×C3—24no—
588C2×C3—24no—
589C2×C3—68no—
590C2×C3—362no—
591C2×C3—361no—
592C2×C3C2×D3×D1214yes—
593C2×C3#6431414yes—
594C2×C3#6432014yes—
595C2×C3C22×C4⋊(C3⋊D3)11yescharacteristic
596C2×C3#6436611yescharacteristic
597C2×C3#6436611yescharacteristic
598D3—22no—
599D3—128no—
600D3—124no—
601D3—368no—
602D3—368no—
603D3—364no—
604D3—362no—
605D3—361no—
606D3—728no—
607C22—32no—
608C22—61no—
609C22—61no—
610C22—181no—
611C22—182no—
612C22—181no—
613C22—182no—
614C22—181no—
615C22—182no—
616C22—541no—
617C22—542no—
618C22—541no—
619C22—542no—
620C22—541no—
621C22—542no—
622C22—1088no—
623C22C22×D3×C3⋊D311yescharacteristic
624C4—22no—
625C4—32no—
626C4—62no—
627C4—181no—
628C4—541no—
629C4D3×C4⋊(C3⋊D3)12yes—
630C3—24no—
631C3#1059462814yescomplemented
632C3#1059599611yescharacteristic, complemented
633C2—62no—
634C2—362no—
635C2—361no—
636C2—1082no—
637C2—1081no—
638C2C2×D3×C4⋊(C3⋊D3)11yescharacteristic
639C2#1172458911yescharacteristic
640C2#1172459711yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C4⋊C4C22
hypercenterC4⋊C4D3×C3⋊D3
hypocenterC33#535
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×D3×C4⋊(C3⋊D3)C2semidirect
2. C2×#89020C2semidirect
3. #11723936C2semidirect
4. C3×#64104C2semidirect
5. C32×#892C2semidirect
6. #11723542C2semidirect
7. #11723541C2semidirect
8. #11723532C2semidirect
9. #11723526C2semidirect
10. #11723517C2semidirect
11. #11723416C2semidirect
16. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
17. C2×C4×C3⋊(C3⋊D3)C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
20. C2×C3×C4×C3⋊D3C22semidirect
22. C2×#6293C22semidirect
24. C2×#6292C22semidirect
25. C2×#6292C22semidirect
26. C2×#6292C22semidirect
31. C33×C4⋊C4C22semidirect
32. #88859C22semidirect
33. C3×#3752C22semidirect
35. C32×C4⋊Dic3C22semidirect
36. C32×C4×Dic3C22semidirect
37. #88804C22semidirect
38. #88803C22semidirect
49. #64104D3semidirect
55. C3×#892D3semidirect
82. C32×C4×D3D4semidirect
110. C2×C4⋊(C3⋊D3)C2×D3semidirect
114. C2×C4×C3⋊D3C2×D3semidirect
131. C32×C4⋊C4C2×D3semidirect
132. C32×C4⋊C4C2×D3semidirect
140. #3752C2×D3semidirect
143. C3×C4⋊Dic3C2×D3semidirect
144. C3×C4×Dic3C2×D3semidirect
186. #892C3⋊D3semidirect
249. C3×C4×D3D12semidirect
305. C3×C4⋊C4D32semidirect
306. C3×C4⋊C4C2×C3⋊D3semidirect
319. C4⋊Dic3C2×C3⋊D3semidirect
320. C4×Dic3C2×C3⋊D3semidirect
388. C33#535semidirect
450. C4×D3C4⋊(C3⋊D3)semidirect
492. C4⋊C4D3×C3⋊D3semidirect
556. C32#5525semidirect
557. C32#5607semidirect
631. C3#10594628semidirect
632. C3#10595996semidirect

Maximal subgroups

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

subgroupindex
C2×D3×C4⋊(C3⋊D3)2
C2×#890202
#117239362
C3×#641042
C32×#8922
#117235422
#117235412
#117235322
#117235262
#117235172
#117234162
#105959963
#105946283