Finite Group Databasebeta

← C3×#10592655 #13162995

Subgroups — C3×#10592655 #13162995

Order 1728.

2244 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#638C211yesmaximal, characteristic
2C22×C3×C4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C33×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#3757C211yesmaximal, characteristic, complemented
5C2×C3×#3752C211yesmaximal, characteristic, complemented
6C3×#63658C211yesmaximal, characteristic, complemented
7C3×#63658C211yesmaximal, characteristic, complemented
8#10592655C311yesmaximal, characteristic, direct product factor
9C3×#4956—34nomaximal
10C24×C33C2211yescharacteristic
11C23×C3×C3⋊D3C2211yescharacteristic
12C22×C33×C4C2211yescharacteristic
13C22×C33×C4C2211yescharacteristic
14C2×C3×#638—22no—
15C2×C3×#638—22no—
16C2×C3×#638C414yescomplemented
17C22×C3×C3⋊Dic3C2211yescharacteristic
18C22×C3×C3⋊Dic3C2211yescharacteristic
19C22×C3×C3⋊Dic3C2211yescharacteristic
20C2×C3×C4×C3⋊D3—22no—
21C2×C3×C4×C3⋊D3—22no—
22C2×C3×C4×C3⋊D3—22no—
23C33×C22⋊C4—22no—
24C3×#3757—22no—
25C3×#3752—22no—
26C22×#638C2×C311yescharacteristic
27C22×C4×C3⋊D3C2×C311yescharacteristic, complemented
28C22×C3×#67—34no—
29C22×C3×C4×D3—34no—
30C2×C32×C22⋊C4—24no—
31C2×C32×C22⋊C4D314yescomplemented
32C2×C32×C22⋊C4C2×C311yescharacteristic, complemented
33C2×#3757C2×C311yescharacteristic, complemented
34C2×#3752C2×C311yescharacteristic, complemented
35C2×C3×#217—34no—
36C2×C3×(C2×D3)⋊C4—34no—
37#63658C2×C311yescharacteristic, complemented
38#63658C2×C311yescharacteristic, complemented
39C3×C3⋊#95—34no—
40C3×C3⋊#95—34no—
41C23×C33—21no—
42C23×C33—21no—
43C23×C33—21no—
44C23×C33—21no—
45C23×C33—21no—
46C23×C33—21no—
47C23×C33C2×C412yescomplemented
48C23×C33C2311yescharacteristic
49C22×C3×C3⋊D3—21no—
50C22×C3×C3⋊D3—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3—21no—
53C22×C3×C3⋊D3C2×C412yes—
54C22×C3×C3⋊D3D412yes—
55C22×C3×C3⋊D3D412yes—
56C2×C33×C4—21no—
57C2×C33×C4—21no—
58C2×C33×C4—21no—
59C2×C33×C4—21no—
60C2×C33×C4—21no—
61C2×C33×C4D412yescomplemented
62C3×#638—28no—
63C2×C3×C3⋊Dic3—21no—
64C2×C3×C3⋊Dic3—21no—
65C2×C3×C3⋊Dic3—21no—
66C2×C3×C3⋊Dic3—21no—
67C2×C3×C3⋊Dic3—21no—
68C2×C3×C3⋊Dic3—21no—
69C2×C3×C3⋊Dic3—21no—
70C2×C3×C3⋊Dic3C2×C412yescomplemented
71C2×C3×C3⋊Dic3D412yescomplemented
72C3×C4×C3⋊D3—28no—
73C3×#386—91no—
74#4956—34no—
75C24×C32—24no—
76C24×C32C2×D314yes—
77C24×C32C22×C311yescharacteristic
78C23×C3⋊D3C22×C311yescharacteristic
79C23×C3×D3—34no—
80C22×C32×C4—24no—
81C22×C32×C4—24no—
82C22×C32×C4C2×D314yes—
83C22×C32×C4C2×D314yes—
84C22×C32×C4C22×C311yescharacteristic
85C22×C32×C4C22×C311yescharacteristic
86C2×#638—22no—
87C2×#638—22no—
88C2×#638C3×C414yescomplemented
89C22×C3⋊Dic3C22×C311yescharacteristic
90C22×C3⋊Dic3C22×C311yescharacteristic
91C22×C3⋊Dic3C22×C311yescharacteristic
92C2×C4×C3⋊D3—22no—
93C2×C4×C3⋊D3—22no—
94C2×C4×C3⋊D3—22no—
95C2×C3×#67—316no—
96C2×C3×#67—68no—
97C2×C3×#67—68no—
98C22×C3×Dic3—34no—
99C22×C3×Dic3—34no—
100C22×C3×Dic3—34no—
101C2×C3×C4×D3—68no—
102C2×C3×C4×D3—68no—
103C2×C3×C4×D3—68no—
104C32×C22⋊C4—216no—
105C32×C22⋊C4—28no—
106C32×C22⋊C4—22no—
107#3757—22no—
108#3752—22no—
109C3×#217—68no—
110C3×(C2×D3)⋊C4—68no—
111C22×C33—22no—
112C22×C33—22no—
113C22×C33—22no—
114C22×C33—41no—
115C22×C33—41no—
116C22×C33—41no—
117C22×C33—41no—
118C22×C33C22×C411yescharacteristic
119C22×C33C2×D411yescharacteristic
120C22×C33C2×D411yescharacteristic
121C22×C33C2×D411yescharacteristic
122C22×C33C2×D411yescharacteristic
123C22×C33#4111yescharacteristic
124C22×C33#4111yescharacteristic
125C2×C3×C3⋊D3—22no—
126C2×C3×C3⋊D3—22no—
127C2×C3×C3⋊D3—22no—
128C2×C3×C3⋊D3—22no—
129C2×C3×C3⋊D3—22no—
130C2×C3×C3⋊D3—22no—
131C2×C3×C3⋊D3C22⋊C414yescomplemented
132C33×C4—22no—
133C33×C4—41no—
134C3×C3⋊Dic3—22no—
135C3×C3⋊Dic3—22no—
136C3×C3⋊Dic3—41no—
137C22×C3×D4—91no—
138C23×C3×C4—91no—
139C22×#67—34no—
140C22×C4×D3—34no—
141C2×C3×C22⋊C4—24no—
142C2×C3×C22⋊C4—91no—
143C2×C3×C22⋊C4—91no—
144C2×C3×C22⋊C4C3×D314yescomplemented
145C2×C3×C22⋊C4C3⋊D311yescharacteristic, complemented
146C2×#217—34no—
147C2×(C2×D3)⋊C4—34no—
148C3×#95—91no—
149C3×#95—91no—
150C3⋊#95—34no—
151C3⋊#95—34no—
152C23×C32—28no—
153C23×C32—28no—
154C23×C32—24no—
155C23×C32—24no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—28no—
163C23×C32—24no—
164C23×C32—24no—
165C23×C32—24no—
166C23×C32—24no—
167C23×C32—24no—
168C23×C32—44no—
169C23×C32—44no—
170C23×C32—44no—
171C23×C32—44no—
172C23×C32C4×D318yescomplemented
173C23×C32C2×C3×C412yescomplemented
174C23×C32C22×D314yes—
175C23×C32C23×C311yescharacteristic
176C22×C3⋊D3—21no—
177C22×C3⋊D3—21no—
178C22×C3⋊D3—21no—
179C22×C3⋊D3—21no—
180C22×C3⋊D3C2×C3×C412yes—
181C22×C3⋊D3C3×D412yes—
182C22×C3⋊D3C3×D412yes—
183C22×C3×D3—38no—
184C22×C3×D3—38no—
185C22×C3×D3—38no—
186C22×C3×D3—64no—
187C22×C3×D3—64no—
188C22×C3×D3—64no—
189C22×C3×D3—64no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—28no—
193C2×C32×C4—24no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—28no—
198C2×C32×C4—24no—
199C2×C32×C4—24no—
200C2×C32×C4—24no—
201C2×C32×C4—24no—
202C2×C32×C4—44no—
203C2×C32×C4—44no—
204C2×C32×C4—44no—
205C2×C32×C4—44no—
206C2×C32×C4#6718yescomplemented
207C2×C32×C4C3×D412yescomplemented
208#638—28no—
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3—21no—
215C2×C3⋊Dic3—21no—
216C2×C3⋊Dic3C2×C3×C412yescomplemented
217C2×C3⋊Dic3C3×D412yescomplemented
218C4×C3⋊D3—28no—
219C3×#67—632no—
220C2×C3×Dic3—38no—
221C2×C3×Dic3—38no—
222C2×C3×Dic3—64no—
223C2×C3×Dic3—64no—
224C2×C3×Dic3—64no—
225C2×C3×Dic3—64no—
226C2×C3×Dic3—64no—
227C2×C3×Dic3—64no—
228C2×C3×Dic3—64no—
229C3×C4×D3—632no—
230#386—91noSylow
231C2×C33—42no—
232C2×C33C2×C22⋊C411yescharacteristic
233C2×C33C4×D411yescharacteristic
234C2×C33C4×D411yescharacteristic
235C2×C33#12011yescharacteristic
236C2×C33#12111yescharacteristic
237C2×C33#12111yescharacteristic
238C2×C33#12311yescharacteristic
239C3×C3⋊D3—24no—
240C24×C3—24no—
241C24×C3—91no—
242C24×C3C2×C3×D314yes—
243C24×C3C2×C3⋊D311yescharacteristic
244C23×D3—34no—
245C2×C3×D4—94no—
246C2×C3×D4—182no—
247C2×C3×D4—182no—
248C22×C3×C4—24no—
249C22×C3×C4—24no—
250C22×C3×C4—91no—
251C22×C3×C4—91no—
252C22×C3×C4—91no—
253C22×C3×C4—182no—
254C22×C3×C4—182no—
255C22×C3×C4—182no—
256C22×C3×C4C2×C3×D314yes—
257C22×C3×C4C2×C3×D314yes—
258C22×C3×C4C2×C3⋊D311yescharacteristic
259C22×C3×C4C2×C3⋊D311yescharacteristic
260C2×#67—316no—
261C2×#67—68no—
262C2×#67—68no—
263C22×Dic3—34no—
264C22×Dic3—34no—
265C22×Dic3—34no—
266C2×C4×D3—68no—
267C2×C4×D3—68no—
268C2×C4×D3—68no—
269C3×C22⋊C4—216no—
270C3×C22⋊C4—28no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—182no—
273C3×C22⋊C4—182no—
274#217—68no—
275(C2×D3)⋊C4—68no—
276C22×C32—216no—
277C22×C32—28no—
278C22×C32—22no—
279C22×C32—22no—
280C22×C32—22no—
281C22×C32—24no—
282C22×C32—24no—
283C22×C32—24no—
284C22×C32—24no—
285C22×C32—24no—
286C22×C32—24no—
287C22×C32—24no—
288C22×C32—28no—
289C22×C32—28no—
290C22×C32—48no—
291C22×C32—48no—
292C22×C32—48no—
293C22×C32—48no—
294C22×C32—48no—
295C22×C32—48no—
296C22×C32—44no—
297C22×C32—44no—
298C22×C32—44no—
299C22×C32—44no—
300C22×C32—41no—
301C22×C32—41no—
302C22×C32—41no—
303C22×C32—41no—
304C22×C32C2×C4×D314yes—
305C22×C32#23514yes—
306C22×C32D3×D414yes—
307C22×C32D3×D414yes—
308C22×C32D3×D414yes—
309C22×C32#23714yes—
310C22×C32C2×#6714yes—
311C22×C32C22×C3×C411yescharacteristic
312C22×C32C2×C3×D411yescharacteristic
313C22×C32C2×C3×D411yescharacteristic
314C22×C32C2×C3×D411yescharacteristic
315C22×C32C2×C3×D411yescharacteristic
316C22×C32C3×#4111yescharacteristic
317C22×C32C3×#4111yescharacteristic
318C2×C3⋊D3—22no—
319C2×C3⋊D3—22no—
320C2×C3⋊D3—22no—
321C2×C3⋊D3—22no—
322C2×C3⋊D3—22no—
323C2×C3⋊D3—22no—
324C2×C3⋊D3C3×C22⋊C414yescomplemented
325C2×C3×D3—316no—
326C2×C3×D3—68no—
327C2×C3×D3—68no—
328C2×C3×D3—68no—
329C2×C3×D3—68no—
330C2×C3×D3—68no—
331C2×C3×D3—68no—
332C32×C4—22no—
333C32×C4—28no—
334C32×C4—48no—
335C32×C4—48no—
336C32×C4—44no—
337C32×C4—41no—
338C3⋊Dic3—22no—
339C3⋊Dic3—22no—
340C3⋊Dic3—41no—
341C3×Dic3—68no—
342C3×Dic3—68no—
343C3×Dic3—124no—
344C22×D4—91no—
345C23×C4—91no—
346C2×C22⋊C4—91no—
347C2×C22⋊C4—91no—
348C2×C22⋊C4C3×C3⋊D311yescharacteristic, complemented
349#95—91no—
350#95—91no—
351C33#38611yescharacteristic, complemented, Sylow
352C23×C3—28no—
353C23×C3—28no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—24no—
357C23×C3—24no—
358C23×C3—24no—
359C23×C3—24no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—28no—
367C23×C3—24no—
368C23×C3—44no—
369C23×C3—44no—
370C23×C3—44no—
371C23×C3—44no—
372C23×C3—92no—
373C23×C3—92no—
374C23×C3—92no—
375C23×C3—181no—
376C23×C3—181no—
377C23×C3—181no—
378C23×C3—181no—
379C23×C3C3×C4×D318yescomplemented
380C23×C3C4×C3⋊D312yescomplemented
381C23×C3C22×C3×D314yes—
382C23×C3C22×C3⋊D311yescharacteristic
383C22×D3—38no—
384C22×D3—38no—
385C22×D3—38no—
386C22×D3—64no—
387C22×D3—64no—
388C22×D3—64no—
389C22×D3—64no—
390C3×D4—188no—
391C2×C3×C4—24no—
392C2×C3×C4—24no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—28no—
396C2×C3×C4—24no—
397C2×C3×C4—24no—
398C2×C3×C4—24no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—28no—
403C2×C3×C4—44no—
404C2×C3×C4—44no—
405C2×C3×C4—44no—
406C2×C3×C4—44no—
407C2×C3×C4—92no—
408C2×C3×C4—92no—
409C2×C3×C4—188no—
410C2×C3×C4—181no—
411C2×C3×C4—181no—
412C2×C3×C4—181no—
413C2×C3×C4—181no—
414C2×C3×C4—181no—
415C2×C3×C4—181no—
416C2×C3×C4—181no—
417C2×C3×C4C3×#6718yescomplemented
418C2×C3×C4#63812yescomplemented
419#67—632no—
420C2×Dic3—38no—
421C2×Dic3—38no—
422C2×Dic3—64no—
423C2×Dic3—64no—
424C2×Dic3—64no—
425C2×Dic3—64no—
426C2×Dic3—64no—
427C2×Dic3—64no—
428C2×Dic3—64no—
429C4×D3—632no—
430C2×C32—24no—
431C2×C32—24no—
432C2×C32—24no—
433C2×C32—24no—
434C2×C32—24no—
435C2×C32—24no—
436C2×C32—24no—
437C2×C32—416no—
438C2×C32—48no—
439C2×C32—42no—
440C2×C32D3×C22⋊C414yes—
441C2×C32#67⋊C414yes—
442C2×C32#88314yes—
443C2×C32#88414yes—
444C2×C32C4×#6714yes—
445C2×C32#93714yes—
446C2×C32#93814yes—
447C2×C32C2×C3×C22⋊C411yescharacteristic
448C2×C32C3×C4×D411yescharacteristic
449C2×C32C3×C4×D411yescharacteristic
450C2×C32C3×#12011yescharacteristic
451C2×C32C3×#12111yescharacteristic
452C2×C32C3×#12111yescharacteristic
453C2×C32C3×#12311yescharacteristic
454C3⋊D3—24no—
455C3×D3—616no—
456C24—91no—
457C24C2×C3×C3⋊D311yescharacteristic
458C2×D4—94no—
459C2×D4—182no—
460C2×D4—182no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—91no—
464C22×C4—182no—
465C22×C4—182no—
466C22×C4—182no—
467C22×C4C2×C3×C3⋊D311yescharacteristic
468C22×C4C2×C3×C3⋊D311yescharacteristic
469C22⋊C4—22no—
470C22⋊C4—182no—
471C22⋊C4—182no—
472C22×C3—216no—
473C22×C3—28no—
474C22×C3—28no—
475C22×C3—28no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—24no—
480C22×C3—24no—
481C22×C3—24no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3—24no—
486C22×C3—48no—
487C22×C3—48no—
488C22×C3—48no—
489C22×C3—48no—
490C22×C3—48no—
491C22×C3—48no—
492C22×C3—44no—
493C22×C3—44no—
494C22×C3—44no—
495C22×C3—44no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—94no—
501C22×C3—182no—
502C22×C3—182no—
503C22×C3—182no—
504C22×C3—182no—
505C22×C3—182no—
506C22×C3—182no—
507C22×C3C2×C3×C4×D314yes—
508C22×C3C3×#23514yes—
509C22×C3C3×D3×D414yes—
510C22×C3C3×D3×D414yes—
511C22×C3C3×D3×D414yes—
512C22×C3C3×#23714yes—
513C22×C3C2×C3×#6714yes—
514C22×C3C2×C4×C3⋊D311yescharacteristic
515C22×C3#382811yescharacteristic
516C22×C3D4×C3⋊D311yescharacteristic
517C22×C3D4×C3⋊D311yescharacteristic
518C22×C3D4×C3⋊D311yescharacteristic
519C22×C3#383011yescharacteristic
520C22×C3C2×#63811yescharacteristic
521C2×D3—316no—
522C2×D3—68no—
523C2×D3—68no—
524C2×D3—68no—
525C2×D3—68no—
526C2×D3—68no—
527C2×D3—68no—
528C3×C4—28no—
529C3×C4—22no—
530C3×C4—48no—
531C3×C4—48no—
532C3×C4—44no—
533C3×C4—41no—
534C3×C4—182no—
535C3×C4—182no—
536C3×C4—361no—
537Dic3—68no—
538Dic3—68no—
539Dic3—124no—
540C32—24no—
541C32#495614yescomplemented
542C32C3×#38611yescharacteristic, complemented
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—92no—
550C23—92no—
551C23—92no—
552C23—181no—
553C23—181no—
554C23—181no—
555C23—181no—
556C23C3×C4×C3⋊D312yescomplemented
557C23C22×C3×C3⋊D311yescharacteristic
558D4—188no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—92no—
565C2×C4—92no—
566C2×C4—188no—
567C2×C4—181no—
568C2×C4—181no—
569C2×C4—181no—
570C2×C4—181no—
571C2×C4—181no—
572C2×C4—181no—
573C2×C4—181no—
574C2×C4C3×#63812yescomplemented
575C2×C3—24no—
576C2×C3—24no—
577C2×C3—24no—
578C2×C3—24no—
579C2×C3—24no—
580C2×C3—24no—
581C2×C3—24no—
582C2×C3—416no—
583C2×C3—48no—
584C2×C3—42no—
585C2×C3—184no—
586C2×C3C3×D3×C22⋊C414yes—
587C2×C3C3×#67⋊C414yes—
588C2×C3C3×#88314yes—
589C2×C3C3×#88414yes—
590C2×C3C3×C4×#6714yes—
591C2×C3C3×#93714yes—
592C2×C3C3×#93814yes—
593C2×C3C22⋊C4×C3⋊D311yescharacteristic
594C2×C3#6409011yescharacteristic
595C2×C3#6409211yescharacteristic
596C2×C3#6409311yescharacteristic
597C2×C3C4×#63811yescharacteristic
598C2×C3#6414611yescharacteristic
599C2×C3#6414711yescharacteristic
600D3—616no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—94no—
609C22—182no—
610C22—182no—
611C22—182no—
612C22—182no—
613C22—182no—
614C22—182no—
615C22C2×C3×C4×C3⋊D311yescharacteristic
616C22C3×#382811yescharacteristic
617C22C3×D4×C3⋊D311yescharacteristic
618C22C3×D4×C3⋊D311yescharacteristic
619C22C3×D4×C3⋊D311yescharacteristic
620C22C3×#383011yescharacteristic
621C22C2×C3×#63811yescharacteristic
622C4—22no—
623C4—41no—
624C4—182no—
625C4—182no—
626C4—361no—
627C3—24no—
628C3C3×#495614yescomplemented
629C3#1059265511yescharacteristic, direct product factor
630C2—42no—
631C2—184no—
632C2C3×C22⋊C4×C3⋊D311yescharacteristic
633C2C3×#6409011yescharacteristic
634C2C3×#6409211yescharacteristic
635C2C3×#6409311yescharacteristic
636C2C3×C4×#63811yescharacteristic
637C2C3×#6414611yescharacteristic
638C2C3×#6414711yescharacteristic
subgroupG/H
centerC23×C3C22×C3⋊D3
commutatorC22×C32C22×C3×C4
FrattiniC23C22×C3×C3⋊D3
FittingC2×C33×C22⋊C4C2
socleC23×C33C23
prime radicalC22×C3×#638C2
cosocleC23×C32C23×C3
hypercenterC2×C3×C22⋊C4C3⋊D3
hypocenterC32C3×#386
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C2×C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×C3⋊D3C2semidirect
3. C2×C33×C22⋊C4C2semidirect
4. C2×C3×#3757C2semidirect
5. C2×C3×#3752C2semidirect
6. C3×#63658C2semidirect
7. C3×#63658C2semidirect
8. #10592655C3direct (N × H)
16. C2×C3×#638C4semidirect
27. C22×C4×C3⋊D3C2×C3semidirect
31. C2×C32×C22⋊C4D3semidirect
32. C2×C32×C22⋊C4C2×C3semidirect
33. C2×#3757C2×C3semidirect
34. C2×#3752C2×C3semidirect
37. #63658C2×C3semidirect
38. #63658C2×C3semidirect
47. C23×C33C2×C4semidirect
61. C2×C33×C4D4semidirect
70. C2×C3×C3⋊Dic3C2×C4semidirect
71. C2×C3×C3⋊Dic3D4semidirect
88. C2×#638C3×C4semidirect
131. C2×C3×C3⋊D3C22⋊C4semidirect
144. C2×C3×C22⋊C4C3×D3semidirect
145. C2×C3×C22⋊C4C3⋊D3semidirect
172. C23×C32C4×D3semidirect
173. C23×C32C2×C3×C4semidirect
206. C2×C32×C4#67semidirect
207. C2×C32×C4C3×D4semidirect
216. C2×C3⋊Dic3C2×C3×C4semidirect
217. C2×C3⋊Dic3C3×D4semidirect
324. C2×C3⋊D3C3×C22⋊C4semidirect
348. C2×C22⋊C4C3×C3⋊D3semidirect
351. C33#386semidirect
379. C23×C3C3×C4×D3semidirect
380. C23×C3C4×C3⋊D3semidirect
417. C2×C3×C4C3×#67semidirect
418. C2×C3×C4#638semidirect
541. C32#4956semidirect
542. C32C3×#386semidirect
556. C23C3×C4×C3⋊D3semidirect
574. C2×C4C3×#638semidirect
628. C3C3×#4956semidirect
629. C3#10592655direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6382
C22×C3×C4×C3⋊D32
C2×C33×C22⋊C42
C2×C3×#37572
C2×C3×#37522
C3×#636582
#105926553
C3×#49563