Finite Group Databasebeta

← C3×#74011 #11805476

Subgroups — C3×#74011 #11805476

Order 1152.

1525 conjugacy classes of subgroups.

The subgroup lattice has 625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×#67C211yesmaximal, characteristic
2C2×C3×#67⋊C4C212yesmaximal
3C32×#380C211yesmaximal, characteristic, complemented
4C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
5C3×#4989C212yesmaximal, complemented
6C3×#4976C212yesmaximal, complemented
7C3×#4946C212yesmaximal, complemented
8C3×#4667C211yesmaximal, characteristic, complemented
9C3×D3×#95C211yesmaximal, characteristic, complemented
10C3×#4650C211yesmaximal, characteristic, complemented
11C3×#4649C211yesmaximal, characteristic, complemented
12C3×#2349—31nomaximal
13#74011C311yesmaximal, characteristic, direct product factor
14C23×C32×C4C2211yescharacteristic
15C22×C3×#67C2211yescharacteristic
16C23×C3×Dic3C2212yes—
17C22×C3×C4×D3C2212yes—
18C22×C3×C4×D3C2211yescharacteristic
19C2×C32×C4⋊C4C2212yes—
20C2×C32×C22⋊C4C2212yes—
21C2×C3×#217C2211yescharacteristic
22C3×C4×#67C418yescomplemented
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×Dic3⋊C4C2212yes—
26C2×C3×Dic3⋊C4C2212yes—
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×C3×C4×Dic3C2212yes—
30C2×C3×C4×Dic3C2211yescharacteristic
31C3×#67⋊C4—28no—
32C32×#95C2211yescharacteristic
33C32×#95C2211yescharacteristic
34C3×C3⋊#95C2211yescharacteristic
35C3×C3⋊#95C2211yescharacteristic
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C2×C3×C4×D4—31no—
40C2×C3×C4×D4—32no—
41C2×C4×#67C2×C311yescharacteristic
42C2×#67⋊C4C2×C312yes—
43C3×#389—32no—
44C3×#385—32no—
45C3×#385—32no—
46C3×#382—31no—
47C3×#380—21no—
48C3×#380—31no—
49C3×#380D311yescharacteristic, complemented
50C3×#380C2×C311yescharacteristic, complemented
51C3×C4×C4⋊C4—31no—
52C2×C3×#95—31no—
53C2×C3×#95—31no—
54C2×C3⋊#95C2×C311yescharacteristic, complemented
55#4989C2×C312yescomplemented
56#4976C2×C312yescomplemented
57#4946C2×C312yescomplemented
58#4667C2×C311yescharacteristic, complemented
59D3×#95C2×C311yescharacteristic, complemented
60#4650C2×C311yescharacteristic, complemented
61#4649C2×C311yescharacteristic, complemented
62C24×C32C2311yescharacteristic
63C23×C3×D3C2311yescharacteristic
64C22×C32×C4—42no—
65C22×C32×C4C2×C414yescomplemented
66C22×C32×C4C2312yes—
67C22×C32×C4C2312yes—
68C22×C32×C4C2311yescharacteristic
69C22×C32×C4C2311yescharacteristic
70C2×C3×#67C2×C414yes—
71C2×C3×#67D414yes—
72C2×C3×#67Q814yes—
73C22×C3×Dic3—24no—
74C22×C3×Dic3—24no—
75C22×C3×Dic3—42no—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2311yescharacteristic
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2311yescharacteristic
81C2×C3×C4×D3—24no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3—42no—
84C2×C3×C4×D3—42no—
85C2×C3×C4×D3C2×C414yescomplemented
86C32×C4⋊C4—42no—
87C32×C22⋊C4—24no—
88C3×#217C2×C414yescomplemented
89C3×(C2×D3)⋊C4—24no—
90C3×(C2×D3)⋊C4C2×C414yescomplemented
91C3×Dic3⋊C4—24no—
92C3×Dic3⋊C4—24no—
93C3×Dic3⋊C4—42no—
94C3×Dic3⋊C4C2×C414yescomplemented
95C3×C4×Dic3—24no—
96C3×C4×Dic3C2×C414yescomplemented
97#2349—31noSylow
98C22×C3×D4—31no—
99C23×C3×C4—21no—
100C23×C3×C4—31no—
101C23×C3×C4—32no—
102C23×C3×C4—32no—
103C23×C3×C4C2×D311yescharacteristic
104C23×C3×C4C22×C311yescharacteristic
105C22×#67C22×C311yescharacteristic
106C23×Dic3C22×C312yes—
107C22×C4×D3C22×C312yes—
108C22×C4×D3C22×C311yescharacteristic
109C3×C4×D4—38no—
110C3×C4×D4—68no—
111C2×C3×C4⋊C4—22no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C4⋊C4—32no—
115C2×C3×C4⋊C4—32no—
116C2×C3×C4⋊C4C2×D312yes—
117C2×C3×C4⋊C4C22×C312yes—
118C2×C3×C22⋊C4—22no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4—32no—
122C2×C3×C22⋊C4C2×D312yes—
123C2×C3×C22⋊C4C22×C312yes—
124C2×C3×C42—31no—
125C2×C3×C42—32no—
126C2×#217C22×C311yescharacteristic
127C4×#67C3×C418yescomplemented
128C2×(C2×D3)⋊C4C22×C312yes—
129C2×(C2×D3)⋊C4C22×C311yescharacteristic
130C2×Dic3⋊C4C22×C312yes—
131C2×Dic3⋊C4C22×C312yes—
132C2×Dic3⋊C4C22×C312yes—
133C2×Dic3⋊C4C22×C311yescharacteristic
134C2×C4×Dic3C22×C312yes—
135C2×C4×Dic3C22×C311yescharacteristic
136#67⋊C4—28no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—31no—
140C3×#95—31no—
141C3×#95—32no—
142C3×#95—32no—
143C3×#95—32no—
144C3×#95C2×D311yescharacteristic
145C3×#95C2×D311yescharacteristic
146C3×#95C22×C311yescharacteristic
147C3×#95C22×C311yescharacteristic
148C3⋊#95C22×C311yescharacteristic
149C3⋊#95C22×C311yescharacteristic
150C3⋊#95C22×C312yes—
151C3⋊#95C22×C312yes—
152C3⋊#95C22×C312yes—
153C23×C32—22no—
154C23×C32—22no—
155C23×C32C22×C412yes—
156C23×C32C2×D412yes—
157C23×C32C2×Q812yes—
158C23×C32C2411yescharacteristic
159C22×C3×D3—22no—
160C22×C3×D3—22no—
161C22×C3×D3C22×C412yes—
162C22×C3×D3C2×D412yes—
163C22×C3×D3C2×Q812yes—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—22no—
171C2×C32×C4—22no—
172C2×C32×C4—44no—
173C2×C32×C4C22×C412yes—
174C2×C32×C4C22×C412yes—
175C3×#67C4⋊C4116yescomplemented
176C2×C3×Dic3—22no—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—48no—
184C2×C3×Dic3C22×C412yes—
185C2×C3×Dic3C22×C412yes—
186C2×C3×Dic3C22×C412yes—
187C2×C3×Dic3C2×D412yes—
188C2×C3×Dic3C2×Q812yes—
189C2×C3×Dic3#4114yes—
190C3×C4×D3—44no—
191C3×C4×D3—48no—
192C2×C4×D4—31no—
193C2×C4×D4—32no—
194#389—32no—
195#385—32no—
196#385—32no—
197#382—31no—
198#380—31no—
199#380C3×D311yescharacteristic, complemented
200C4×C4⋊C4—31no—
201C2×#95—31no—
202C2×#95—31no—
203C24×C3—21no—
204C24×C3—31no—
205C24×C3C22×D311yescharacteristic
206C24×C3C23×C311yescharacteristic
207C23×D3C23×C311yescharacteristic
208C2×C3×D4—34no—
209C2×C3×D4—34no—
210C2×C3×D4—34no—
211C22×C3×C4—24no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—31no—
217C22×C3×C4—32no—
218C22×C3×C4—31no—
219C22×C3×C4—31no—
220C22×C3×C4—34no—
221C22×C3×C4—32no—
222C22×C3×C4—42no—
223C22×C3×C4—42no—
224C22×C3×C4—44no—
225C22×C3×C4—64no—
226C22×C3×C4—64no—
227C22×C3×C4—64no—
228C22×C3×C4—64no—
229C22×C3×C4—122no—
230C22×C3×C4—122no—
231C22×C3×C4—122no—
232C22×C3×C4C4×D314yescomplemented
233C22×C3×C4C2×C3×C414yescomplemented
234C22×C3×C4C22×D312yes—
235C22×C3×C4C22×D312yes—
236C22×C3×C4C22×D311yescharacteristic
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C23×C312yes—
239C22×C3×C4C23×C312yes—
240C22×C3×C4C23×C311yescharacteristic
241C22×C3×C4C23×C311yescharacteristic
242C2×#67C2×C3×C414yes—
243C2×#67C3×D414yes—
244C2×#67C3×Q814yes—
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—42no—
248C22×Dic3C23×C312yes—
249C22×Dic3C23×C311yescharacteristic
250C22×Dic3C23×C311yescharacteristic
251C22×Dic3C23×C312yes—
252C22×Dic3C23×C311yescharacteristic
253C2×C4×D3—24no—
254C2×C4×D3—24no—
255C2×C4×D3—42no—
256C2×C4×D3—42no—
257C2×C4×D3C2×C3×C414yescomplemented
258C3×C4⋊C4—34no—
259C3×C4⋊C4—42no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—44no—
262C3×C4⋊C4—64no—
263C3×C4⋊C4—64no—
264C3×C4⋊C4—122no—
265C3×C22⋊C4—24no—
266C3×C22⋊C4—24no—
267C3×C22⋊C4—34no—
268C3×C22⋊C4—34no—
269C3×C22⋊C4—44no—
270C3×C22⋊C4—64no—
271C3×C42—34no—
272C3×C42—64no—
273#217C2×C3×C414yescomplemented
274(C2×D3)⋊C4—24no—
275(C2×D3)⋊C4C2×C3×C414yescomplemented
276Dic3⋊C4—24no—
277Dic3⋊C4—24no—
278Dic3⋊C4—42no—
279Dic3⋊C4C2×C3×C414yescomplemented
280C4×Dic3—24no—
281C4×Dic3C2×C3×C414yescomplemented
282C22×C32—22no—
283C22×C32—22no—
284C22×C32—24no—
285C22×C32—24no—
286C22×C32C2×C4⋊C414yes—
287C22×C32C23×C411yescharacteristic
288C22×C32C22×D411yescharacteristic
289C22×C32C22×Q811yescharacteristic
290C22×C32C2×#4112yes—
291C22×C32H(5,𝔽2)12yes—
292C2×C3×D3—22no—
293C2×C3×D3—22no—
294C2×C3×D3—24no—
295C2×C3×D3—24no—
296C2×C3×D3C2×C4⋊C414yes—
297C32×C4—22no—
298C32×C4—22no—
299C32×C4—42no—
300C32×C4—42no—
301C3×Dic3—22no—
302C3×Dic3—22no—
303C3×Dic3—24no—
304C3×Dic3—42no—
305C3×Dic3C2×C4⋊C414yes—
306C22×D4—31no—
307C23×C4—31no—
308C23×C4—32no—
309C23×C4—32no—
310C23×C4C2×C3×D311yescharacteristic
311C4×D4—38no—
312C4×D4—68no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—32no—
315C2×C4⋊C4—32no—
316C2×C4⋊C4—32no—
317C2×C4⋊C4C2×C3×D312yes—
318C2×C22⋊C4—31no—
319C2×C22⋊C4—31no—
320C2×C22⋊C4—32no—
321C2×C22⋊C4C2×C3×D312yes—
322C2×C42—31no—
323C2×C42—32no—
324#95—31no—
325#95—31no—
326#95—32no—
327#95—32no—
328#95—32no—
329#95C2×C3×D311yescharacteristic
330#95C2×C3×D311yescharacteristic
331C23×C3—22no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—22no—
335C23×C3—21no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—32no—
340C23×C3—32no—
341C23×C3—32no—
342C23×C3—42no—
343C23×C3—42no—
344C23×C3—62no—
345C23×C3—62no—
346C23×C3C2×C4×D312yes—
347C23×C3D3×D412yes—
348C23×C3D3×Q812yes—
349C23×C3C22×C3×C412yes—
350C23×C3C2×C3×D412yes—
351C23×C3C2×C3×Q812yes—
352C23×C3C23×D311yescharacteristic
353C23×C3C24×C311yescharacteristic
354C22×D3—22no—
355C22×D3—22no—
356C22×D3C22×C3×C412yes—
357C22×D3C2×C3×D412yes—
358C22×D3C2×C3×Q812yes—
359C3×D4—316no—
360C2×C3×C4—24no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—32no—
380C2×C3×C4—32no—
381C2×C3×C4—32no—
382C2×C3×C4—32no—
383C2×C3×C4—32no—
384C2×C3×C4—34no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—44no—
393C2×C3×C4—44no—
394C2×C3×C4—48no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—124no—
403C2×C3×C4—128no—
404C2×C3×C4—128no—
405C2×C3×C4C2×C4×D312yes—
406C2×C3×C4C2×C4×D312yes—
407C2×C3×C4C22×C3×C412yes—
408C2×C3×C4C22×C3×C412yes—
409#67C3×C4⋊C4116yescomplemented
410C2×Dic3—22no—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—48no—
418C2×Dic3C22×C3×C412yes—
419C2×Dic3C22×C3×C412yes—
420C2×Dic3C22×C3×C412yes—
421C2×Dic3C2×C3×D412yes—
422C2×Dic3C2×C3×Q812yes—
423C2×Dic3C3×#4114yes—
424C4×D3—44no—
425C4×D3—48no—
426C2×C32—24no—
427C2×C32C22×C4⋊C411yescharacteristic
428C2×C32C4×#4111yescharacteristic
429C2×C32#51811yescharacteristic
430C2×C32#54612yes—
431C2×C32#55412yes—
432C3×D3—24no—
433C24—31no—
434C24C22×C3×D311yescharacteristic
435C2×D4—34no—
436C2×D4—34no—
437C2×D4—34no—
438C22×C4—31no—
439C22×C4—32no—
440C22×C4—31no—
441C22×C4—31no—
442C22×C4—34no—
443C22×C4—32no—
444C22×C4—42no—
445C22×C4—64no—
446C22×C4—64no—
447C22×C4—64no—
448C22×C4—64no—
449C22×C4—122no—
450C22×C4—122no—
451C22×C4—122no—
452C22×C4C3×C4×D314yescomplemented
453C22×C4C22×C3×D312yes—
454C22×C4C22×C3×D312yes—
455C22×C4C22×C3×D311yescharacteristic
456C22×C4C22×C3×D311yescharacteristic
457C4⋊C4—34no—
458C4⋊C4—42no—
459C4⋊C4—64no—
460C4⋊C4—64no—
461C4⋊C4—122no—
462C22⋊C4—24no—
463C22⋊C4—34no—
464C22⋊C4—34no—
465C22⋊C4—64no—
466C42—34no—
467C42—64no—
468C22×C3—24no—
469C22×C3—22no—
470C22×C3—22no—
471C22×C3—22no—
472C22×C3—22no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—24no—
476C22×C3—24no—
477C22×C3—21no—
478C22×C3—21no—
479C22×C3—22no—
480C22×C3—21no—
481C22×C3—22no—
482C22×C3—34no—
483C22×C3—42no—
484C22×C3—42no—
485C22×C3—44no—
486C22×C3—44no—
487C22×C3—64no—
488C22×C3—62no—
489C22×C3—62no—
490C22×C3—64no—
491C22×C3D3×C4⋊C414yes—
492C22×C3C2×C3×C4⋊C414yes—
493C22×C3C22×C4×D311yescharacteristic
494C22×C3C2×D3×D411yescharacteristic
495C22×C3#100412yes—
496C22×C3C2×D3×Q811yescharacteristic
497C22×C3D3×#4112yes—
498C22×C3C23×C3×C411yescharacteristic
499C22×C3C22×C3×D411yescharacteristic
500C22×C3C22×C3×Q811yescharacteristic
501C22×C3C2×C3×#4112yes—
502C22×C3C3×H(5,𝔽2)12yes—
503C2×D3—22no—
504C2×D3—22no—
505C2×D3—24no—
506C2×D3—24no—
507C2×D3C2×C3×C4⋊C414yes—
508C3×C4—24no—
509C3×C4—22no—
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—22no—
513C3×C4—34no—
514C3×C4—42no—
515C3×C4—42no—
516C3×C4—42no—
517C3×C4—42no—
518C3×C4—42no—
519C3×C4—62no—
520C3×C4—62no—
521C3×C4—64no—
522C3×C4—82no—
523C3×C4—82no—
524C3×C4—122no—
525Dic3—22no—
526Dic3—22no—
527Dic3—24no—
528Dic3—42no—
529Dic3C2×C3×C4⋊C414yes—
530C32#234911yescharacteristic, complemented, Sylow
531C23—22no—
532C23—22no—
533C23—32no—
534C23—32no—
535C23—32no—
536C23—62no—
537C23—62no—
538C23C2×C3×C4×D312yes—
539C23C3×D3×D412yes—
540C23C3×D3×Q812yes—
541C23C23×C3×D311yescharacteristic
542D4—316no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—32no—
552C2×C4—32no—
553C2×C4—32no—
554C2×C4—32no—
555C2×C4—32no—
556C2×C4—34no—
557C2×C4—44no—
558C2×C4—62no—
559C2×C4—62no—
560C2×C4—62no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4—62no—
565C2×C4—124no—
566C2×C4—128no—
567C2×C4—128no—
568C2×C4C2×C3×C4×D312yes—
569C2×C4C2×C3×C4×D312yes—
570C2×C3—24no—
571C2×C3—24no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—22no—
575C2×C3—22no—
576C2×C3—21no—
577C2×C3—44no—
578C2×C3—64no—
579C2×C3#548611yescharacteristic
580C2×C3C2×D3×C4⋊C411yescharacteristic
581C2×C3#552211yescharacteristic
582C2×C3#561012yes—
583C2×C3#563612yes—
584C2×C3C22×C3×C4⋊C411yescharacteristic
585C2×C3C3×C4×#4111yescharacteristic
586C2×C3C3×#51811yescharacteristic
587C2×C3C3×#54612yes—
588C2×C3C3×#55412yes—
589D3—24no—
590C22—22no—
591C22—24no—
592C22—24no—
593C22—22no—
594C22—34no—
595C22—62no—
596C22—64no—
597C22—64no—
598C22—62no—
599C22C3×D3×C4⋊C414yes—
600C22C22×C3×C4×D311yescharacteristic
601C22C2×C3×D3×D411yescharacteristic
602C22C3×#100412yes—
603C22C2×C3×D3×Q811yescharacteristic
604C22C3×D3×#4112yes—
605C4—22no—
606C4—22no—
607C4—34no—
608C4—42no—
609C4—42no—
610C4—62no—
611C4—64no—
612C4—62no—
613C4—122no—
614C3—21no—
615C3#7401111yescharacteristic, direct product factor
616C3C3×#234911yescharacteristic, complemented
617C2—24no—
618C2—64no—
619C2C3×#548611yescharacteristic
620C2C2×C3×D3×C4⋊C411yescharacteristic
621C2C3×#552211yescharacteristic
622C2C3×#561012yes—
623C2C3×#563612yes—
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#380C2
socleC23×C32C24
prime radicalC22×C3×#67C22
cosocleC23×C3C24×C3
hypercenterC3×#380D3
hypocenterC3C3×#2349
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#380

Complements

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

NH ≅ G/Ntype
3. C32×#380C2semidirect
4. C2×C3×C3⋊#95C2semidirect
5. C3×#4989C2semidirect
6. C3×#4976C2semidirect
7. C3×#4946C2semidirect
8. C3×#4667C2semidirect
9. C3×D3×#95C2semidirect
10. C3×#4650C2semidirect
11. C3×#4649C2semidirect
13. #74011C3direct (N × H)
22. C3×C4×#67C4semidirect
49. C3×#380D3semidirect
50. C3×#380C2×C3semidirect
54. C2×C3⋊#95C2×C3semidirect
55. #4989C2×C3semidirect
56. #4976C2×C3semidirect
57. #4946C2×C3semidirect
58. #4667C2×C3semidirect
59. D3×#95C2×C3semidirect
60. #4650C2×C3semidirect
61. #4649C2×C3semidirect
65. C22×C32×C4C2×C4semidirect
85. C2×C3×C4×D3C2×C4semidirect
88. C3×#217C2×C4semidirect
90. C3×(C2×D3)⋊C4C2×C4semidirect
94. C3×Dic3⋊C4C2×C4semidirect
96. C3×C4×Dic3C2×C4semidirect
127. C4×#67C3×C4semidirect
175. C3×#67C4⋊C4semidirect
199. #380C3×D3semidirect
232. C22×C3×C4C4×D3semidirect
233. C22×C3×C4C2×C3×C4semidirect
257. C2×C4×D3C2×C3×C4semidirect
273. #217C2×C3×C4semidirect
275. (C2×D3)⋊C4C2×C3×C4semidirect
279. Dic3⋊C4C2×C3×C4semidirect
281. C4×Dic3C2×C3×C4semidirect
409. #67C3×C4⋊C4semidirect
452. C22×C4C3×C4×D3semidirect
530. C32#2349semidirect
615. C3#74011direct (N × H)
616. C3C3×#2349semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×#672
C2×C3×#67⋊C42
C32×#3802
C2×C3×C3⋊#952
C3×#49892
C3×#49762
C3×#49462
C3×#46672
C3×D3×#952
C3×#46502
C3×#46492
C3×#23493
#740113