Finite Group Databasebeta

← C3×#10592364 #13162707

Subgroups — C3×#10592364 #13162707

Order 1728.

2020 conjugacy classes of subgroups.

The subgroup lattice has 616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic
2C22×C3×C4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×C3×#3752C211yesmaximal, characteristic, complemented
4C2×C3×#3752C211yesmaximal, characteristic, complemented
5C2×C3×#3752C211yesmaximal, characteristic, complemented
6C33×#95C211yesmaximal, characteristic, complemented
7C3×#63658C211yesmaximal, characteristic, complemented
8#10592364C311yesmaximal, characteristic, direct product factor
9C3×#4665—34nomaximal
10C23×C3×C3⋊D3C2211yescharacteristic
11C23×C3×C3⋊D3C2211yescharacteristic
12C22×C33×C4C2211yescharacteristic
13C22×C33×C4C2211yescharacteristic
14C22×C33×C4C2211yescharacteristic
15C22×C3×C3⋊Dic3C2211yescharacteristic
16C22×C3×C3⋊Dic3C2211yescharacteristic
17C2×C3×C4⋊(C3⋊D3)—22no—
18C2×C3×C4⋊(C3⋊D3)—22no—
19C2×C3×C4⋊(C3⋊D3)C414yescomplemented
20C2×C3×C4×C3⋊D3—22no—
21C2×C3×C4×C3⋊D3—22no—
22C2×C3×C4×C3⋊D3—22no—
23C3×#3752—22no—
24C3×#3752—22no—
25C3×#3752—22no—
26C22×C4⋊(C3⋊D3)C2×C311yescharacteristic
27C22×C4×C3⋊D3C2×C311yescharacteristic, complemented
28C22×C3×D12—34no—
29C22×C3×C4×D3—34no—
30C2×#3752C2×C311yescharacteristic, complemented
31C2×#3752C2×C311yescharacteristic, complemented
32C2×#3752C2×C311yescharacteristic, complemented
33C2×C3×(C2×D3)⋊C4—34no—
34C2×C3×(C2×D3)⋊C4—34no—
35C2×C3×(C2×D3)⋊C4—34no—
36C32×#95—24no—
37C32×#95D314yescomplemented
38C32×#95C2×C311yescharacteristic, complemented
39#63658C2×C311yescharacteristic, complemented
40C3×C3⋊#95—34no—
41C23×C33C2311yescharacteristic
42C22×C3×C3⋊D3—21no—
43C22×C3×C3⋊D3—21no—
44C22×C3×C3⋊D3—21no—
45C22×C3×C3⋊D3—21no—
46C22×C3×C3⋊D3—21no—
47C22×C3×C3⋊D3—21no—
48C22×C3×C3⋊D3—21no—
49C22×C3×C3⋊D3—21no—
50C22×C3×C3⋊D3—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3C2×C412yes—
53C22×C3×C3⋊D3C2×C412yescomplemented
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×C4—21no—
62C2×C33×C4—21no—
63C2×C33×C4C2×C412yescomplemented
64C2×C33×C4D412yescomplemented
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⋊Dic3D412yescomplemented
71C3×C4⋊(C3⋊D3)—28no—
72C3×C4×C3⋊D3—28no—
73C3×#386—91no—
74#4665—34no—
75C23×C3⋊D3C22×C311yescharacteristic
76C23×C3⋊D3C22×C311yescharacteristic
77C23×C3×D3—34no—
78C23×C3×D3—34no—
79C22×C32×C4—24no—
80C22×C32×C4—24no—
81C22×C32×C4—24no—
82C22×C32×C4C2×D314yes—
83C22×C32×C4C2×D314yes—
84C22×C32×C4C2×D314yes—
85C22×C32×C4C22×C311yescharacteristic
86C22×C32×C4C22×C311yescharacteristic
87C22×C32×C4C22×C311yescharacteristic
88C22×C3⋊Dic3C22×C311yescharacteristic
89C22×C3⋊Dic3C22×C311yescharacteristic
90C2×C4⋊(C3⋊D3)—22no—
91C2×C4⋊(C3⋊D3)—22no—
92C2×C4⋊(C3⋊D3)C3×C414yescomplemented
93C2×C4×C3⋊D3—22no—
94C2×C4×C3⋊D3—22no—
95C2×C4×C3⋊D3—22no—
96C22×C3×Dic3—34no—
97C22×C3×Dic3—34no—
98C2×C3×D12—316no—
99C2×C3×D12—68no—
100C2×C3×D12—68no—
101C2×C3×C4×D3—68no—
102C2×C3×C4×D3—68no—
103C2×C3×C4×D3—68no—
104#3752—22no—
105#3752—22no—
106#3752—22no—
107C3×(C2×D3)⋊C4—68no—
108C3×(C2×D3)⋊C4—68no—
109C3×(C2×D3)⋊C4—68no—
110C22×C33C22×C411yescharacteristic
111C22×C33C2×D411yescharacteristic
112C22×C33C2×D411yescharacteristic
113C22×C33C2×D411yescharacteristic
114C22×C33C2×D411yescharacteristic
115C22×C33#4111yescharacteristic
116C22×C33#4111yescharacteristic
117C2×C3×C3⋊D3—22no—
118C2×C3×C3⋊D3—22no—
119C2×C3×C3⋊D3—22no—
120C2×C3×C3⋊D3—22no—
121C2×C3×C3⋊D3—22no—
122C2×C3×C3⋊D3—22no—
123C2×C3×C3⋊D3—22no—
124C2×C3×C3⋊D3—22no—
125C2×C3×C3⋊D3—22no—
126C2×C3×C3⋊D3—41no—
127C2×C3×C3⋊D3—41no—
128C2×C3×C3⋊D3—41no—
129C2×C3×C3⋊D3—41no—
130C2×C3×C3⋊D3C22⋊C414yescomplemented
131C33×C4—22no—
132C33×C4—22no—
133C33×C4—41no—
134C3×C3⋊Dic3—22no—
135C3×C3⋊Dic3—41no—
136C22×C3×D4—91no—
137C23×C3×C4—91no—
138C22×D12—34no—
139C22×C4×D3—34no—
140C2×C3×C22⋊C4—91no—
141C2×C3×C22⋊C4—91no—
142C2×C3×C22⋊C4—91no—
143C2×(C2×D3)⋊C4—34no—
144C2×(C2×D3)⋊C4—34no—
145C2×(C2×D3)⋊C4—34no—
146C3×#95—24no—
147C3×#95—91no—
148C3×#95C3×D314yescomplemented
149C3×#95C3⋊D311yescharacteristic, complemented
150C3⋊#95—34no—
151C23×C32—24no—
152C23×C32C22×D314yes—
153C23×C32C23×C311yescharacteristic
154C22×C3⋊D3—21no—
155C22×C3⋊D3—21no—
156C22×C3⋊D3—21no—
157C22×C3⋊D3—21no—
158C22×C3⋊D3—21no—
159C22×C3⋊D3—21no—
160C22×C3⋊D3—21no—
161C22×C3⋊D3—21no—
162C22×C3⋊D3—21no—
163C22×C3⋊D3—21no—
164C22×C3⋊D3C2×C3×C412yes—
165C22×C3⋊D3C2×C3×C412yescomplemented
166C22×C3⋊D3C3×D412yes—
167C22×C3⋊D3C3×D412yes—
168C22×C3×D3—38no—
169C22×C3×D3—38no—
170C22×C3×D3—38no—
171C22×C3×D3—38no—
172C22×C3×D3—64no—
173C22×C3×D3—64no—
174C22×C3×D3—64no—
175C22×C3×D3—64no—
176C22×C3×D3—64no—
177C22×C3×D3—64no—
178C22×C3×D3—64no—
179C22×C3×D3—64no—
180C22×C3×D3—64no—
181C22×C3×D3—64no—
182C2×C32×C4—21no—
183C2×C32×C4—21no—
184C2×C32×C4—21no—
185C2×C32×C4—21no—
186C2×C32×C4—28no—
187C2×C32×C4—24no—
188C2×C32×C4—21no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—28no—
192C2×C32×C4—28no—
193C2×C32×C4—24no—
194C2×C32×C4—24no—
195C2×C32×C4—24no—
196C2×C32×C4—24no—
197C2×C32×C4—24no—
198C2×C32×C4—24no—
199C2×C32×C4—44no—
200C2×C32×C4—44no—
201C2×C32×C4—44no—
202C2×C32×C4—44no—
203C2×C32×C4—44no—
204C2×C32×C4—44no—
205C2×C32×C4C4×D318yescomplemented
206C2×C32×C4D1218yescomplemented
207C2×C32×C4C2×C3×C412yescomplemented
208C2×C32×C4C3×D412yescomplemented
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214C2×C3⋊Dic3C3×D412yescomplemented
215C4⋊(C3⋊D3)—28no—
216C4×C3⋊D3—28no—
217C2×C3×Dic3—38no—
218C2×C3×Dic3—64no—
219C2×C3×Dic3—64no—
220C2×C3×Dic3—64no—
221C2×C3×Dic3—64no—
222C2×C3×Dic3—64no—
223C3×D12—632no—
224C3×C4×D3—632no—
225#386—91noSylow
226C2×C33C2×C22⋊C411yescharacteristic
227C2×C33C4×D411yescharacteristic
228C2×C33C4×D411yescharacteristic
229C2×C33#12011yescharacteristic
230C2×C33#12111yescharacteristic
231C2×C33#12111yescharacteristic
232C2×C33#12311yescharacteristic
233C3×C3⋊D3—24no—
234C3×C3⋊D3—42no—
235C24×C3—91no—
236C24×C3—91no—
237C23×D3—34no—
238C23×D3—34no—
239C2×C3×D4—94no—
240C2×C3×D4—182no—
241C2×C3×D4—182no—
242C22×C3×C4—24no—
243C22×C3×C4—24no—
244C22×C3×C4—24no—
245C22×C3×C4—91no—
246C22×C3×C4—91no—
247C22×C3×C4—182no—
248C22×C3×C4—182no—
249C22×C3×C4—182no—
250C22×C3×C4C2×C3×D314yes—
251C22×C3×C4C2×C3×D314yes—
252C22×C3×C4C2×C3×D314yes—
253C22×C3×C4C2×C3⋊D311yescharacteristic
254C22×C3×C4C2×C3⋊D311yescharacteristic
255C22×C3×C4C2×C3⋊D311yescharacteristic
256C22×Dic3—34no—
257C22×Dic3—34no—
258C2×D12—316no—
259C2×D12—68no—
260C2×D12—68no—
261C2×C4×D3—68no—
262C2×C4×D3—68no—
263C2×C4×D3—68no—
264C3×C22⋊C4—182no—
265C3×C22⋊C4—182no—
266C3×C22⋊C4—182no—
267(C2×D3)⋊C4—68no—
268(C2×D3)⋊C4—68no—
269(C2×D3)⋊C4—68no—
270C22×C32—24no—
271C22×C32—24no—
272C22×C32—24no—
273C22×C32—24no—
274C22×C32—24no—
275C22×C32—24no—
276C22×C32—24no—
277C22×C32C2×C4×D314yes—
278C22×C32C2×D1214yes—
279C22×C32#23514yes—
280C22×C32D3×D414yes—
281C22×C32D3×D414yes—
282C22×C32D3×D414yes—
283C22×C32#23914yes—
284C22×C32C22×C3×C411yescharacteristic
285C22×C32C2×C3×D411yescharacteristic
286C22×C32C2×C3×D411yescharacteristic
287C22×C32C2×C3×D411yescharacteristic
288C22×C32C2×C3×D411yescharacteristic
289C22×C32C3×#4111yescharacteristic
290C22×C32C3×#4111yescharacteristic
291C2×C3⋊D3—22no—
292C2×C3⋊D3—22no—
293C2×C3⋊D3—22no—
294C2×C3⋊D3—22no—
295C2×C3⋊D3—22no—
296C2×C3⋊D3—22no—
297C2×C3⋊D3—22no—
298C2×C3⋊D3—22no—
299C2×C3⋊D3—22no—
300C2×C3⋊D3—41no—
301C2×C3⋊D3—41no—
302C2×C3⋊D3—41no—
303C2×C3⋊D3—41no—
304C2×C3⋊D3C3×C22⋊C414yescomplemented
305C2×C3×D3—316no—
306C2×C3×D3—68no—
307C2×C3×D3—68no—
308C2×C3×D3—68no—
309C2×C3×D3—68no—
310C2×C3×D3—68no—
311C2×C3×D3—68no—
312C2×C3×D3—68no—
313C2×C3×D3—68no—
314C2×C3×D3—68no—
315C2×C3×D3—124no—
316C2×C3×D3—124no—
317C2×C3×D3—124no—
318C2×C3×D3—124no—
319C32×C4—22no—
320C32×C4—22no—
321C32×C4—28no—
322C32×C4—28no—
323C32×C4—48no—
324C32×C4—48no—
325C32×C4—48no—
326C32×C4—44no—
327C32×C4—41no—
328C3⋊Dic3—22no—
329C3⋊Dic3—41no—
330C3×Dic3—68no—
331C3×Dic3—124no—
332C22×D4—91no—
333C23×C4—91no—
334C2×C22⋊C4—91no—
335C2×C22⋊C4—91no—
336C2×C22⋊C4—91no—
337#95—91no—
338#95C3×C3⋊D311yescharacteristic, complemented
339C33#38611yescharacteristic, complemented, Sylow
340C23×C3—24no—
341C23×C3—92no—
342C23×C3—92no—
343C23×C3—92no—
344C23×C3—92no—
345C23×C3—181no—
346C23×C3—181no—
347C23×C3—181no—
348C23×C3—181no—
349C23×C3—181no—
350C23×C3—181no—
351C23×C3—181no—
352C23×C3—181no—
353C23×C3—181no—
354C23×C3—181no—
355C23×C3C22×C3×D314yes—
356C23×C3C22×C3⋊D311yescharacteristic
357C22×D3—38no—
358C22×D3—38no—
359C22×D3—38no—
360C22×D3—38no—
361C22×D3—64no—
362C22×D3—64no—
363C22×D3—64no—
364C22×D3—64no—
365C22×D3—64no—
366C22×D3—64no—
367C22×D3—64no—
368C22×D3—64no—
369C22×D3—64no—
370C22×D3—64no—
371C3×D4—188no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—28no—
381C2×C3×C4—24no—
382C2×C3×C4—24no—
383C2×C3×C4—24no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—28no—
388C2×C3×C4—28no—
389C2×C3×C4—44no—
390C2×C3×C4—44no—
391C2×C3×C4—44no—
392C2×C3×C4—44no—
393C2×C3×C4—44no—
394C2×C3×C4—44no—
395C2×C3×C4—92no—
396C2×C3×C4—188no—
397C2×C3×C4—181no—
398C2×C3×C4—181no—
399C2×C3×C4—181no—
400C2×C3×C4—181no—
401C2×C3×C4—181no—
402C2×C3×C4C3×C4×D318yescomplemented
403C2×C3×C4C3×D1218yescomplemented
404C2×C3×C4C4×C3⋊D312yescomplemented
405C2×C3×C4C4⋊(C3⋊D3)12yescomplemented
406C2×Dic3—38no—
407C2×Dic3—64no—
408C2×Dic3—64no—
409C2×Dic3—64no—
410C2×Dic3—64no—
411C2×Dic3—64no—
412D12—632no—
413C4×D3—632no—
414C2×C32—24no—
415C2×C32—24no—
416C2×C32—24no—
417C2×C32—24no—
418C2×C32—24no—
419C2×C32—24no—
420C2×C32—24no—
421C2×C32C4×D1214yes—
422C2×C32D3×C22⋊C414yes—
423C2×C32#88214yes—
424C2×C32#88414yes—
425C2×C32#89314yes—
426C2×C32#89414yes—
427C2×C32#89514yes—
428C2×C32C2×C3×C22⋊C411yescharacteristic
429C2×C32C3×C4×D411yescharacteristic
430C2×C32C3×C4×D411yescharacteristic
431C2×C32C3×#12011yescharacteristic
432C2×C32C3×#12111yescharacteristic
433C2×C32C3×#12111yescharacteristic
434C2×C32C3×#12311yescharacteristic
435C3⋊D3—24no—
436C3⋊D3—42no—
437C3×D3—616no—
438C3×D3—128no—
439C24—91no—
440C24—91no—
441C2×D4—94no—
442C2×D4—182no—
443C2×D4—182no—
444C22×C4—91no—
445C22×C4—91no—
446C22×C4—182no—
447C22×C4—182no—
448C22×C4—182no—
449C22×C4C2×C3×C3⋊D311yescharacteristic
450C22×C4C2×C3×C3⋊D311yescharacteristic
451C22×C4C2×C3×C3⋊D311yescharacteristic
452C22⋊C4—182no—
453C22⋊C4—182no—
454C22⋊C4—182no—
455C22×C3—24no—
456C22×C3—24no—
457C22×C3—24no—
458C22×C3—24no—
459C22×C3—24no—
460C22×C3—24no—
461C22×C3—24no—
462C22×C3—94no—
463C22×C3—182no—
464C22×C3—182no—
465C22×C3—182no—
466C22×C3—182no—
467C22×C3—182no—
468C22×C3—182no—
469C22×C3—182no—
470C22×C3—182no—
471C22×C3—182no—
472C22×C3—361no—
473C22×C3—361no—
474C22×C3—361no—
475C22×C3—361no—
476C22×C3C2×C3×C4×D314yes—
477C22×C3C2×C3×D1214yes—
478C22×C3C3×#23514yes—
479C22×C3C3×D3×D414yes—
480C22×C3C3×D3×D414yes—
481C22×C3C3×D3×D414yes—
482C22×C3C3×#23914yes—
483C22×C3C2×C4×C3⋊D311yescharacteristic
484C22×C3C2×C4⋊(C3⋊D3)11yescharacteristic
485C22×C3#382811yescharacteristic
486C22×C3D4×C3⋊D311yescharacteristic
487C22×C3D4×C3⋊D311yescharacteristic
488C22×C3D4×C3⋊D311yescharacteristic
489C22×C3#383211yescharacteristic
490C2×D3—316no—
491C2×D3—68no—
492C2×D3—68no—
493C2×D3—68no—
494C2×D3—68no—
495C2×D3—68no—
496C2×D3—68no—
497C2×D3—68no—
498C2×D3—68no—
499C2×D3—68no—
500C2×D3—124no—
501C2×D3—124no—
502C2×D3—124no—
503C2×D3—124no—
504C3×C4—28no—
505C3×C4—28no—
506C3×C4—22no—
507C3×C4—22no—
508C3×C4—48no—
509C3×C4—48no—
510C3×C4—48no—
511C3×C4—44no—
512C3×C4—41no—
513C3×C4—182no—
514C3×C4—361no—
515Dic3—68no—
516Dic3—124no—
517C32—24no—
518C32#466514yescomplemented
519C32C3×#38611yescharacteristic, complemented
520C23—92no—
521C23—92no—
522C23—92no—
523C23—92no—
524C23—181no—
525C23—181no—
526C23—181no—
527C23—181no—
528C23—181no—
529C23—181no—
530C23—181no—
531C23—181no—
532C23—181no—
533C23—181no—
534C23C22×C3×C3⋊D311yescharacteristic
535D4—188no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—92no—
544C2×C4—188no—
545C2×C4—181no—
546C2×C4—181no—
547C2×C4—181no—
548C2×C4—181no—
549C2×C4—181no—
550C2×C4C3×C4×C3⋊D312yescomplemented
551C2×C4C3×C4⋊(C3⋊D3)12yescomplemented
552C2×C3—24no—
553C2×C3—24no—
554C2×C3—24no—
555C2×C3—24no—
556C2×C3—24no—
557C2×C3—24no—
558C2×C3—24no—
559C2×C3—184no—
560C2×C3—362no—
561C2×C3C3×C4×D1214yes—
562C2×C3C3×D3×C22⋊C414yes—
563C2×C3C3×#88214yes—
564C2×C3C3×#88414yes—
565C2×C3C3×#89314yes—
566C2×C3C3×#89414yes—
567C2×C3C3×#89514yes—
568C2×C3C4×C4⋊(C3⋊D3)11yescharacteristic
569C2×C3C22⋊C4×C3⋊D311yescharacteristic
570C2×C3#6409111yescharacteristic
571C2×C3#6409311yescharacteristic
572C2×C3#6410211yescharacteristic
573C2×C3#6410311yescharacteristic
574C2×C3#6410411yescharacteristic
575D3—616no—
576D3—128no—
577C22—94no—
578C22—182no—
579C22—182no—
580C22—182no—
581C22—182no—
582C22—182no—
583C22—182no—
584C22—182no—
585C22—182no—
586C22—182no—
587C22—361no—
588C22—361no—
589C22—361no—
590C22—361no—
591C22C2×C3×C4×C3⋊D311yescharacteristic
592C22C2×C3×C4⋊(C3⋊D3)11yescharacteristic
593C22C3×#382811yescharacteristic
594C22C3×D4×C3⋊D311yescharacteristic
595C22C3×D4×C3⋊D311yescharacteristic
596C22C3×D4×C3⋊D311yescharacteristic
597C22C3×#383211yescharacteristic
598C4—22no—
599C4—22no—
600C4—41no—
601C4—182no—
602C4—361no—
603C3—24no—
604C3C3×#466514yescomplemented
605C3#1059236411yescharacteristic, direct product factor
606C2—184no—
607C2—362no—
608C2C3×C4×C4⋊(C3⋊D3)11yescharacteristic
609C2C3×C22⋊C4×C3⋊D311yescharacteristic
610C2C3×#6409111yescharacteristic
611C2C3×#6409311yescharacteristic
612C2C3×#6410211yescharacteristic
613C2C3×#6410311yescharacteristic
614C2C3×#6410411yescharacteristic
subgroupG/H
centerC23×C3C22×C3⋊D3
commutatorC22×C32C22×C3×C4
FrattiniC23C22×C3×C3⋊D3
FittingC33×#95C2
socleC23×C33C23
prime radicalC22×C3×C4⋊(C3⋊D3)C2
cosocleC23×C32C23×C3
hypercenterC3×#95C3⋊D3
hypocenterC32C3×#386
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23×C3 ◁ C3×#95

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×C3⋊D3C2semidirect
3. C2×C3×#3752C2semidirect
4. C2×C3×#3752C2semidirect
5. C2×C3×#3752C2semidirect
6. C33×#95C2semidirect
7. C3×#63658C2semidirect
8. #10592364C3direct (N × H)
19. C2×C3×C4⋊(C3⋊D3)C4semidirect
27. C22×C4×C3⋊D3C2×C3semidirect
30. C2×#3752C2×C3semidirect
31. C2×#3752C2×C3semidirect
32. C2×#3752C2×C3semidirect
37. C32×#95D3semidirect
38. C32×#95C2×C3semidirect
39. #63658C2×C3semidirect
53. C22×C3×C3⋊D3C2×C4semidirect
63. C2×C33×C4C2×C4semidirect
64. C2×C33×C4D4semidirect
70. C2×C3×C3⋊Dic3D4semidirect
92. C2×C4⋊(C3⋊D3)C3×C4semidirect
130. C2×C3×C3⋊D3C22⋊C4semidirect
148. C3×#95C3×D3semidirect
149. C3×#95C3⋊D3semidirect
165. C22×C3⋊D3C2×C3×C4semidirect
205. C2×C32×C4C4×D3semidirect
206. C2×C32×C4D12semidirect
207. C2×C32×C4C2×C3×C4semidirect
208. C2×C32×C4C3×D4semidirect
214. C2×C3⋊Dic3C3×D4semidirect
304. C2×C3⋊D3C3×C22⋊C4semidirect
338. #95C3×C3⋊D3semidirect
339. C33#386semidirect
402. C2×C3×C4C3×C4×D3semidirect
403. C2×C3×C4C3×D12semidirect
404. C2×C3×C4C4×C3⋊D3semidirect
405. C2×C3×C4C4⋊(C3⋊D3)semidirect
518. C32#4665semidirect
519. C32C3×#386semidirect
550. C2×C4C3×C4×C3⋊D3semidirect
551. C2×C4C3×C4⋊(C3⋊D3)semidirect
604. C3C3×#4665semidirect
605. C3#10592364direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C4⋊(C3⋊D3)2
C22×C3×C4×C3⋊D32
C2×C3×#37522
C33×#952
C3×#636582
#105923643
C3×#46653