Finite Group Databasebeta

← #13175405

Subgroups — #13175405

Order 1728.

2380 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89026C211yesmaximal, characteristic, complemented
2C2×#89017C211yesmaximal, characteristic, complemented
3C4×C4⋊(C3⋊(C3⋊D3))C211yesmaximal, characteristic, complemented
4C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
5C32×#875C211yesmaximal, characteristic, complemented
6#11723542C212yesmaximal, complemented
7C3⋊D3×(C2×D3)⋊C4C212yesmaximal, complemented
8#11723531C211yesmaximal, characteristic, complemented
9#11723523C212yesmaximal, complemented
10#11723520C212yesmaximal, complemented
11#11723456C211yesmaximal, characteristic, complemented
12#10596147—31nomaximal
13#10594005—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
16C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
17C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
18C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
19C2×C3×C4×C3⋊D3C2212yescomplemented
20C2×C32×D12C2211yescharacteristic
21C2×C32×Dic6C2211yescharacteristic, complemented
22C2×#6292C2212yescomplemented
23C2×#6291C2212yescomplemented
24C2×#6290C2212yes—
25C2×Dic3×C3⋊D3C2212yescomplemented
26#89026—24no—
27#89017—24no—
28C33×C42C2211yescharacteristic, complemented
29#88859C2211yescharacteristic
30#88859C2211yescharacteristic, complemented
31C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
32C3×#3752C2212yescomplemented
33C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
34C32×(C2×D3)⋊C4C2212yescomplemented
35C32×(C2×D3)⋊C4C2212yescomplemented
36#88807C2212yescomplemented
37#88804C2212yes—
38(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
39C2×#3832—31no—
40C2×D4×C3⋊D3—31no—
41C2×#3802—34no—
42C2×#3796—34no—
43C32×#124—31no—
44#64155—31no—
45#64147—31no—
46#64093—32no—
47#64092—32no—
48#64091—32no—
49C22⋊C4×C3⋊D3—32no—
50C4×C4⋊(C3⋊D3)—31no—
51C4×C4⋊(C3⋊D3)—34no—
52C4×C4⋊(C3⋊D3)—64no—
53C4×C4⋊(C3⋊D3)D311yescharacteristic, complemented
54C3×#875D314yescomplemented
55C3×C4×D12—34no—
56#63923—38no—
57D3×(C2×D3)⋊C4—38no—
58#63916—34no—
59#63906—38no—
60#63891—38no—
61#63871—34no—
62C22×C3⋊(C3⋊D3)C2311yescharacteristic
63C22×C3⋊(C3⋊D3)C2311yescharacteristic
64C22×C3×C3⋊D3C2312yes—
65C22×C32×D3C2312yes—
66C2×D3×C3⋊D3—24no—
67C2×D3×C3⋊D3—24no—
68C2×D3×C3⋊D3—42no—
69C2×C33×C4C2311yescharacteristic
70C2×C33×C4C2311yescharacteristic
71C2×C33×C4C2311yescharacteristic
72C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
73C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
74C4⋊(C3⋊(C3⋊D3))—22no—
75C4×C3⋊(C3⋊D3)—22no—
76C4×C3⋊(C3⋊D3)—22no—
77C2×C3×C3⋊Dic3C2312yes—
78C3×C4⋊(C3⋊D3)D414yescomplemented
79C3×C4×C3⋊D3—42no—
80C2×C32×Dic3C2312yes—
81C32×D12—22no—
82C32×Dic6—22no—
83#6292—24no—
84#6291—42no—
85#6290—24no—
86Dic3×C3⋊D3—24no—
87#5676—94no—
88#5554—91no—
89C23×C3⋊D3—32no—
90C22×D32—38no—
91C2×C32×Q8—31no—
92C2×C32×D4—31no—
93C2×#638—32no—
94C2×#638—32no—
95#3832—64no—
96D4×C3⋊D3—64no—
97C2×C4⋊(C3⋊D3)—32no—
98C2×C4⋊(C3⋊D3)—31no—
99C2×C4⋊(C3⋊D3)—34no—
100C2×C4⋊(C3⋊D3)—64no—
101C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
102C2×C4×C3⋊D3—32no—
103C2×C4×C3⋊D3—31no—
104C2×C4×C3⋊D3—31no—
105C2×C4×C3⋊D3—34no—
106C2×C4×C3⋊D3—34no—
107C2×C4×C3⋊D3—64no—
108C2×C4×C3⋊D3—64no—
109C2×C4×C3⋊D3C2×D312yescomplemented
110C2×C3×D12—34no—
111C2×C3×D12C2×D314yes—
112C2×C3×C4×D3—38no—
113C2×C3×Dic6C2×D314yescomplemented
114C2×#626—38no—
115C2×#626—38no—
116C2×#625—38no—
117C2×D3×Dic3—38no—
118#3802—616no—
119#3796—616no—
120C32×C22⋊C4—32no—
121C32×C22⋊C4—32no—
122C32×C42—24no—
123C32×C42C2×D314yescomplemented
124C32×C42C2×D311yescharacteristic, complemented
125#3757—32no—
126#3752—31no—
127#3752—31no—
128#3752—34no—
129#3752—34no—
130#3752—32no—
131#3752—64no—
132#3752—64no—
133#3752C2×D312yescomplemented
134C4⋊(C3⋊Dic3)—31no—
135C4⋊(C3⋊Dic3)—34no—
136C4⋊(C3⋊Dic3)—64no—
137C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
138#3750—32no—
139C3×(C2×D3)⋊C4—38no—
140C3×(C2×D3)⋊C4C2×D318yescomplemented
141C3×(C2×D3)⋊C4C2×D318yescomplemented
142C3×C4⋊Dic3—34no—
143Dic3⋊Dic3—38no—
144#3722—38no—
145(C2×D3)⋊Dic3—38no—
146C22×C33C2411yescharacteristic
147C2×C3⋊(C3⋊D3)—21no—
148C2×C3⋊(C3⋊D3)—21no—
149C2×C3⋊(C3⋊D3)—21no—
150C2×C3⋊(C3⋊D3)—21no—
151C2×C3⋊(C3⋊D3)—21no—
152C2×C3⋊(C3⋊D3)#4112yescomplemented
153C2×C3×C3⋊D3—22no—
154C2×C3×C3⋊D3—22no—
155C2×C3×C3⋊D3C2×D414yes—
156C2×C32×D3—22no—
157C2×C32×D3—22no—
158C2×C32×D3—22no—
159D3×C3⋊D3—48no—
160C33×C4—21no—
161C33×C4—21no—
162C33×C4C2×D412yes—
163C3⋊(C3⋊Dic3)—21no—
164C3⋊(C3⋊Dic3)—21no—
165C3×C3⋊Dic3—22no—
166C32×Dic3—22no—
167C2×#239—94no—
168C2×#237—91no—
169C2×D3×D4—94no—
170C2×D3×D4—91no—
171C3×#124—34no—
172C3×C4×D4—91no—
173#946—94no—
174#938—94no—
175#930—92no—
176C2×(C2×D3)⋊C4—92no—
177#897—91no—
178#895—91no—
179#886—92no—
180#884—98no—
181#883—98no—
182#882—98no—
183#882—92no—
184D3×C22⋊C4—98no—
185#875C3⋊D311yescharacteristic, complemented
186C4×D12—34no—
187C4×D12—94no—
188C4×D12—91no—
189C4×D12—184no—
190C23×C32—32no—
191C22×C3⋊D3—31no—
192C22×C3⋊D3—31no—
193C22×C3⋊D3—34no—
194C22×C3⋊D3—34no—
195C22×C3⋊D3—64no—
196C22×C3⋊D3—64no—
197C22×C3⋊D3—64no—
198C22×C3⋊D3—64no—
199C22×C3⋊D3—122no—
200C22×C3⋊D3C22×D312yes—
201C22×C3×D3—38no—
202C22×C3×D3C22×D318yes—
203C2×D32—616no—
204C2×D32—616no—
205C2×D32—128no—
206C32×Q8—62no—
207C32×D4—62no—
208C2×C32×C4—24no—
209C2×C32×C4—24no—
210C2×C32×C4—24no—
211C2×C32×C4—32no—
212C2×C32×C4C22×D314yes—
213C2×C32×C4C22×D314yes—
214C2×C32×C4C22×D314yes—
215C2×C32×C4C22×D311yescharacteristic
216C2×C32×C4C22×D311yescharacteristic
217C2×C32×C4C22×D311yescharacteristic
218#638—64no—
219#638—122no—
220C2×C3⋊Dic3—31no—
221C2×C3⋊Dic3—31no—
222C2×C3⋊Dic3—34no—
223C2×C3⋊Dic3—34no—
224C2×C3⋊Dic3—64no—
225C2×C3⋊Dic3—64no—
226C2×C3⋊Dic3C22×D312yes—
227C4⋊(C3⋊D3)—62no—
228C4⋊(C3⋊D3)—68no—
229C4⋊(C3⋊D3)—616no—
230C4⋊(C3⋊D3)—64no—
231C4⋊(C3⋊D3)D1214yescomplemented
232C4×C3⋊D3—42no—
233C4×C3⋊D3—64no—
234C4×C3⋊D3—62no—
235C4×C3⋊D3—62no—
236C4×C3⋊D3—68no—
237C4×C3⋊D3—68no—
238C4×C3⋊D3—128no—
239C4×C3⋊D3—128no—
240C2×C3×Dic3—38no—
241C2×C3×Dic3C22×D318yes—
242C3×D12—28no—
243C3×D12—316no—
244C3×C4×D3—128no—
245C3×Dic6—28no—
246#626—616no—
247#626—128no—
248#625—616no—
249D3×Dic3—616no—
250#546—271noSylow
251C2×C33C22×D411yescharacteristic
252C2×C33C2×#4111yescharacteristic
253C2×C33H(5,𝔽2)11yescharacteristic
254C3⋊(C3⋊D3)—22no—
255C3⋊(C3⋊D3)—41no—
256C3×C3⋊D3—24no—
257C32×D3—42no—
258C23×D3—98no—
259C23×D3—92no—
260C2×C3×Q8—34no—
261C2×C3×D4—34no—
262C2×C3×D4—91no—
263C22×C3×C4—92no—
264C2×#67—98no—
265C2×#67—98no—
266C2×#67—92no—
267C2×#67—92no—
268C22×Dic3—92no—
269#239—1816no—
270#237—184no—
271D3×D4—184no—
272D3×D4—1816no—
273C2×D12—34no—
274C2×D12—98no—
275C2×D12—94no—
276C2×D12—91no—
277C2×D12—92no—
278C2×D12—184no—
279C2×D12C2×C3⋊D311yescharacteristic
280C2×C4×D3—38no—
281C2×C4×D3—98no—
282C2×C4×D3—94no—
283C2×C4×D3—94no—
284C2×C4×D3—91no—
285C2×C4×D3—91no—
286C2×C4×D3—184no—
287C2×C4×D3—184no—
288C2×Dic6C2×C3⋊D311yescharacteristic, complemented
289C3×C4⋊C4—91no—
290C3×C22⋊C4—38no—
291C3×C22⋊C4—38no—
292C3×C22⋊C4—92no—
293C3×C42—24no—
294C3×C42D3214yescomplemented
295C3×C42C2×C3⋊D311yescharacteristic, complemented
296#217—98no—
297(C2×D3)⋊C4—38no—
298(C2×D3)⋊C4—98no—
299(C2×D3)⋊C4—92no—
300(C2×D3)⋊C4—94no—
301(C2×D3)⋊C4—94no—
302(C2×D3)⋊C4—91no—
303(C2×D3)⋊C4—91no—
304(C2×D3)⋊C4—92no—
305(C2×D3)⋊C4—184no—
306(C2×D3)⋊C4—184no—
307(C2×D3)⋊C4C2×C3⋊D312yescomplemented
308(C2×D3)⋊C4C2×C3⋊D312yescomplemented
309C4⋊Dic3—34no—
310C4⋊Dic3—94no—
311C4⋊Dic3—91no—
312C4⋊Dic3—92no—
313C4⋊Dic3—184no—
314Dic3⋊C4—98no—
315C22×C32—24no—
316C22×C32—62no—
317C22×C32—62no—
318C22×C32—62no—
319C22×C32C23×D314yes—
320C22×C32C23×D311yescharacteristic
321C2×C3⋊D3—22no—
322C2×C3⋊D3—22no—
323C2×C3⋊D3—32no—
324C2×C3⋊D3—38no—
325C2×C3⋊D3—68no—
326C2×C3⋊D3—61no—
327C2×C3⋊D3—61no—
328C2×C3⋊D3—68no—
329C2×C3⋊D3—61no—
330C2×C3⋊D3—61no—
331C2×C3⋊D3—64no—
332C2×C3⋊D3—61no—
333C2×C3⋊D3—64no—
334C2×C3⋊D3—64no—
335C2×C3⋊D3—64no—
336C2×C3⋊D3—64no—
337C2×C3⋊D3—124no—
338C2×C3⋊D3—124no—
339C2×C3⋊D3—124no—
340C2×C3⋊D3—124no—
341C2×C3⋊D3—128no—
342C2×C3⋊D3C2×D1214yes—
343C2×C3×D3—28no—
344C2×C3×D3—28no—
345C2×C3×D3—28no—
346C2×C3×D3—316no—
347C2×C3×D3—68no—
348C2×C3×D3—68no—
349D32—1232no—
350C32×C4—28no—
351C32×C4—21no—
352C32×C4—24no—
353C32×C4—21no—
354C32×C4—28no—
355C32×C4—24no—
356C32×C4—44no—
357C32×C4—62no—
358C32×C4C2×D1212yes—
359C32×C4D3×D418yes—
360C3⋊Dic3—22no—
361C3⋊Dic3—61no—
362C3⋊Dic3—61no—
363C3⋊Dic3—64no—
364C3⋊Dic3—64no—
365C3⋊Dic3—124no—
366C3⋊Dic3—124no—
367C3×Dic3—28no—
368C3×Dic3—68no—
369C2×#41—271no—
370C22×D4—271no—
371#124—31no—
372#123—272no—
373C22⋊Q8—271no—
374#121—272no—
375#121—271no—
376#120—272no—
377C4×D4—91no—
378C4×D4—271no—
379C2×C22⋊C4—272no—
380C33#54611yescharacteristic, complemented, Sylow
381C23×C3—38no—
382C23×C3—92no—
383C22×D3—38no—
384C22×D3—94no—
385C22×D3—91no—
386C22×D3—94no—
387C22×D3—91no—
388C22×D3—184no—
389C22×D3—184no—
390C22×D3—184no—
391C22×D3—184no—
392C22×D3—1816no—
393C22×D3—1816no—
394C22×D3—362no—
395C22×D3—368no—
396C22×D3C22×C3⋊D312yes—
397C3×Q8—68no—
398C3×D4—68no—
399C3×D4—94no—
400C2×C3×C4—24no—
401C2×C3×C4—24no—
402C2×C3×C4—24no—
403C2×C3×C4—38no—
404C2×C3×C4—92no—
405C2×C3×C4—362no—
406C2×C3×C4C2×D3214yes—
407C2×C3×C4C2×D3214yes—
408C2×C3×C4C2×D3214yes—
409C2×C3×C4C22×C3⋊D311yescharacteristic
410C2×C3×C4C22×C3⋊D311yescharacteristic
411C2×C3×C4C22×C3⋊D311yescharacteristic
412#67—184no—
413#67—184no—
414#67—1816no—
415#67—368no—
416C2×Dic3—38no—
417C2×Dic3—94no—
418C2×Dic3—94no—
419C2×Dic3—91no—
420C2×Dic3—91no—
421C2×Dic3—184no—
422C2×Dic3—184no—
423C2×Dic3—184no—
424C2×Dic3C22×C3⋊D312yes—
425D12—22no—
426D12—316no—
427D12—188no—
428D12—182no—
429D12—1816no—
430D12—1816no—
431D12—362no—
432C4×D3—128no—
433C4×D3—1816no—
434C4×D3—188no—
435C4×D3—188no—
436C4×D3—182no—
437C4×D3—182no—
438C4×D3—368no—
439C4×D3—368no—
440Dic6—22no—
441C2×C32—24no—
442C2×C32—24no—
443C2×C32—24no—
444C2×C32—122no—
445C2×C32C22×D1211yescharacteristic
446C2×C32C2×D3×D414yes—
447C2×C32#100411yescharacteristic
448C2×C32D3×#4114yes—
449C2×C32D3×#4111yescharacteristic
450C2×C32#100914yes—
451C3⋊D3—24no—
452C3⋊D3—62no—
453C3⋊D3—68no—
454C3⋊D3—128no—
455C3⋊D3—128no—
456C3⋊D3—124no—
457C3⋊D3—121no—
458C3×D3—48no—
459C3×D3—616no—
460C24—272no—
461#41—544no—
462C2×Q8—31no—
463C2×D4—31no—
464C2×D4—91no—
465C2×D4—272no—
466C2×D4—272no—
467C2×D4—272no—
468C2×D4—271no—
469C2×D4—544no—
470C22×C4—92no—
471C22×C4—272no—
472C22×C4—271no—
473C22×C4—271no—
474C4⋊C4—91no—
475C4⋊C4—272no—
476C4⋊C4—271no—
477C22⋊C4—32no—
478C22⋊C4—32no—
479C22⋊C4—92no—
480C22⋊C4—272no—
481C22⋊C4—272no—
482C22⋊C4—271no—
483C22⋊C4—271no—
484C42D3×C3⋊D311yescharacteristic, complemented
485C22×C3—24no—
486C22×C3—68no—
487C22×C3—68no—
488C22×C3—68no—
489C22×C3—94no—
490C22×C3—182no—
491C22×C3—182no—
492C22×C3C22×D3214yes—
493C22×C3C23×C3⋊D311yescharacteristic
494C2×D3—22no—
495C2×D3—22no—
496C2×D3—22no—
497C2×D3—316no—
498C2×D3—68no—
499C2×D3—68no—
500C2×D3—98no—
501C2×D3—92no—
502C2×D3—188no—
503C2×D3—184no—
504C2×D3—184no—
505C2×D3—181no—
506C2×D3—181no—
507C2×D3—188no—
508C2×D3—184no—
509C2×D3—184no—
510C2×D3—184no—
511C2×D3—181no—
512C2×D3—181no—
513C2×D3—181no—
514C2×D3—364no—
515C2×D3—364no—
516C2×D3—364no—
517C2×D3—364no—
518C2×D3—368no—
519C2×D3—3632no—
520C3×C4—28no—
521C3×C4—24no—
522C3×C4—24no—
523C3×C4—21no—
524C3×C4—21no—
525C3×C4—28no—
526C3×C4—44no—
527C3×C4—68no—
528C3×C4—182no—
529C3×C4D3×D1218yes—
530C3×C4D4×C3⋊D312yes—
531Dic3—22no—
532Dic3—68no—
533Dic3—184no—
534Dic3—184no—
535Dic3—181no—
536Dic3—181no—
537Dic3—364no—
538Dic3—364no—
539C32—24no—
540C32#555411yescharacteristic, complemented
541C32#567614yescomplemented
542C23—32no—
543C23—92no—
544C23—271no—
545C23—271no—
546C23—544no—
547C23—544no—
548C23—1082no—
549Q8—62no—
550D4—62no—
551D4—94no—
552D4—542no—
553D4—544no—
554D4—544no—
555D4—1082no—
556C2×C4—32no—
557C2×C4—92no—
558C2×C4—271no—
559C2×C4—271no—
560C2×C4—362no—
561C2×C4—544no—
562C2×C4—542no—
563C2×C4—542no—
564C2×C4C2×D3×C3⋊D311yescharacteristic
565C2×C4C2×D3×C3⋊D311yescharacteristic
566C2×C4C2×D3×C3⋊D311yescharacteristic
567C2×C3—24no—
568C2×C3—24no—
569C2×C3—24no—
570C2×C3—128no—
571C2×C3—184no—
572C2×C3C2×D3×D1214yes—
573C2×C3#6430614yes—
574C2×C3#6430714yes—
575C2×C3C2×D4×C3⋊D311yescharacteristic
576C2×C3#41×C3⋊D311yescharacteristic
577C2×C3#6436611yescharacteristic
578D3—42no—
579D3—616no—
580D3—182no—
581D3—188no—
582D3—368no—
583D3—368no—
584D3—361no—
585D3—364no—
586C22—62no—
587C22—62no—
588C22—62no—
589C22—94no—
590C22—182no—
591C22—182no—
592C22—272no—
593C22—541no—
594C22—541no—
595C22—541no—
596C22—541no—
597C22—541no—
598C22—1088no—
599C22C22×D3×C3⋊D311yescharacteristic
600C4—21no—
601C4—21no—
602C4—62no—
603C4—182no—
604C4—541no—
605C4—541no—
606C4C3⋊D3×D1212yes—
607C3—24no—
608C3#1059400514yescomplemented
609C3#1059614711yescharacteristic, complemented
610C2—122no—
611C2—184no—
612C2—542no—
613C2—1081no—
614C2C2×C3⋊D3×D1211yescharacteristic
615C2#1172457811yescharacteristic
616C2#1172458011yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC33×C42C22
hypercenterC42D3×C3⋊D3
hypocenterC33#546
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C42

Complements

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

NH ≅ G/Ntype
1. C2×#89026C2semidirect
2. C2×#89017C2semidirect
3. C4×C4⋊(C3⋊(C3⋊D3))C2semidirect
4. C3×C4×C4⋊(C3⋊D3)C2semidirect
5. C32×#875C2semidirect
6. #11723542C2semidirect
7. C3⋊D3×(C2×D3)⋊C4C2semidirect
8. #11723531C2semidirect
9. #11723523C2semidirect
10. #11723520C2semidirect
11. #11723456C2semidirect
17. C2×C4×C3⋊(C3⋊D3)C22semidirect
19. C2×C3×C4×C3⋊D3C22semidirect
21. C2×C32×Dic6C22semidirect
22. C2×#6292C22semidirect
23. C2×#6291C22semidirect
25. C2×Dic3×C3⋊D3C22semidirect
28. C33×C42C22semidirect
30. #88859C22semidirect
31. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
32. C3×#3752C22semidirect
33. C3×C4⋊(C3⋊Dic3)C22semidirect
34. C32×(C2×D3)⋊C4C22semidirect
35. C32×(C2×D3)⋊C4C22semidirect
36. #88807C22semidirect
38. (C2×D3)⋊(C3⋊Dic3)C22semidirect
53. C4×C4⋊(C3⋊D3)D3semidirect
54. C3×#875D3semidirect
78. C3×C4⋊(C3⋊D3)D4semidirect
109. C2×C4×C3⋊D3C2×D3semidirect
113. C2×C3×Dic6C2×D3semidirect
123. C32×C42C2×D3semidirect
124. C32×C42C2×D3semidirect
133. #3752C2×D3semidirect
137. C4⋊(C3⋊Dic3)C2×D3semidirect
140. C3×(C2×D3)⋊C4C2×D3semidirect
141. C3×(C2×D3)⋊C4C2×D3semidirect
152. C2×C3⋊(C3⋊D3)#41semidirect
185. #875C3⋊D3semidirect
231. C4⋊(C3⋊D3)D12semidirect
288. C2×Dic6C2×C3⋊D3semidirect
294. C3×C42D32semidirect
295. C3×C42C2×C3⋊D3semidirect
307. (C2×D3)⋊C4C2×C3⋊D3semidirect
308. (C2×D3)⋊C4C2×C3⋊D3semidirect
380. C33#546semidirect
484. C42D3×C3⋊D3semidirect
540. C32#5554semidirect
541. C32#5676semidirect
608. C3#10594005semidirect
609. C3#10596147semidirect

Maximal subgroups

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

subgroupindex
C2×#890262
C2×#890172
C4×C4⋊(C3⋊(C3⋊D3))2
C3×C4×C4⋊(C3⋊D3)2
C32×#8752
#117235422
C3⋊D3×(C2×D3)⋊C42
#117235312
#117235232
#117235202
#117234562
#105961473
#105940053