Finite Group Databasebeta

← C3×#73414 #11801482

Subgroups — C3×#73414 #11801482

Order 1152.

1481 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D12C211yesmaximal, characteristic
2C2×C3×#872C211yesmaximal, characteristic, complemented
3C2×C3×C42×D3C211yesmaximal, characteristic, complemented
4C32×#376C211yesmaximal, characteristic, complemented
5C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
7C3×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
8C3×#4670C212yesmaximal, complemented
9C3×#4668C212yesmaximal, complemented
10C3×#4665C212yesmaximal
11C3×#4653C212yesmaximal, complemented
12C3×#2290—31nomaximal
13#73414C311yesmaximal, characteristic, direct product factor
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×C4×D3C2211yescharacteristic
18C2×C32×C42C2211yescharacteristic
19C2×C32×C42C2211yescharacteristic
20C2×C32×C42C2211yescharacteristic
21C2×C3×(C2×D3)⋊C4C2212yes—
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×(C2×D3)⋊C4C2211yescharacteristic
25C2×C3×(C2×D3)⋊C4C2211yescharacteristic
26C2×C3×C4⋊Dic3C2212yes—
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×C4×Dic3C2212yes—
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×C4×D12C418yescomplemented
33C3×#872—24no—
34C3×C42×D3—24no—
35C32×#95C2212yes—
36C32×#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×C4×D4—31no—
41C2×C3×#117—31no—
42C22×C3×C42—31no—
43C2×C4×D12C2×C311yescharacteristic
44C2×#872C2×C311yescharacteristic, complemented
45C2×C42×D3C2×C311yescharacteristic, complemented
46C3×#388—32no—
47C3×#387—32no—
48C3×#386—32no—
49C3×#385—32no—
50C3×C4×C4⋊C4—31no—
51C3×C4×C22⋊C4—31no—
52C3×C4×C22⋊C4—31no—
53C3×#376—21no—
54C3×#376D311yescharacteristic, complemented
55C3×#376C2×C311yescharacteristic, complemented
56C4×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
57C4×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
58C4×C4⋊Dic3C2×C311yescharacteristic, complemented
59#4670C2×C312yescomplemented
60#4668C2×C312yescomplemented
61#4665C2×C312yes—
62#4653C2×C312yescomplemented
63C23×C3×D3C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C22×C32×C4C2312yes—
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C22×C3×Dic3C2312yes—
71C22×C3×Dic3C2311yescharacteristic
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2312yes—
74C2×C3×D12—24no—
75C2×C3×D12C2×C414yes—
76C2×C3×C4×D3—24no—
77C2×C3×C4×D3—24no—
78C2×C3×C4×D3—22no—
79C2×C3×C4×D3—22no—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—24no—
83C2×C3×C4×D3C2×C414yes—
84C2×C3×C4×D3C2×C414yescomplemented
85C32×C42—22no—
86C32×C42C2×C414yescomplemented
87C32×C42D414yescomplemented
88C3×(C2×D3)⋊C4—24no—
89C3×(C2×D3)⋊C4—24no—
90C3×(C2×D3)⋊C4—24no—
91C3×(C2×D3)⋊C4C2×C414yes—
92C3×(C2×D3)⋊C4C2×C414yescomplemented
93C3×C4⋊Dic3—24no—
94C3×C4⋊Dic3C2×C414yescomplemented
95C3×Dic3⋊C4—24no—
96C3×C4×Dic3—24no—
97C3×C4×Dic3—22no—
98C3×C4×Dic3—22no—
99#2290—31noSylow
100C22×C3×D4—31no—
101C23×C3×C4—31no—
102C23×C3×C4—31no—
103C23×C3×C4—32no—
104C22×D12C22×C311yescharacteristic
105C22×C4×D3C22×C312yes—
106C22×C4×D3C22×C311yescharacteristic
107C22×C4×D3C22×C311yescharacteristic
108C3×C4×D4—38no—
109C3×#117—64no—
110C2×C3×C4⋊C4—31no—
111C2×C3×C4⋊C4—32no—
112C2×C3×C4⋊C4—32no—
113C2×C3×C22⋊C4—31no—
114C2×C3×C22⋊C4—31no—
115C2×C3×C22⋊C4—32no—
116C2×C3×C22⋊C4—32no—
117C2×C3×C22⋊C4—32no—
118C2×C3×C42—21no—
119C2×C3×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42—32no—
122C2×C3×C42—31no—
123C2×C3×C42—31no—
124C2×C3×C42—64no—
125C2×C3×C42C2×D311yescharacteristic
126C2×C3×C42C2×D311yescharacteristic
127C2×C3×C42C2×D311yescharacteristic
128C2×C3×C42C22×C311yescharacteristic
129C2×C3×C42C22×C311yescharacteristic
130C2×C3×C42C22×C311yescharacteristic
131C2×(C2×D3)⋊C4C22×C312yes—
132C2×(C2×D3)⋊C4C22×C312yes—
133C2×(C2×D3)⋊C4C22×C312yes—
134C2×(C2×D3)⋊C4C22×C311yescharacteristic
135C2×(C2×D3)⋊C4C22×C311yescharacteristic
136C2×C4⋊Dic3C22×C312yes—
137C2×C4⋊Dic3C22×C311yescharacteristic
138C2×Dic3⋊C4C22×C312yes—
139C2×C4×Dic3C22×C312yes—
140C2×C4×Dic3C22×C311yescharacteristic
141C2×C4×Dic3C22×C311yescharacteristic
142C4×D12C3×C418yescomplemented
143#872—24no—
144C42×D3—24no—
145C3×#95—22no—
146C3×#95—22no—
147C3×#95—32no—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95C2×D312yes—
151C3×#95C2×D312yes—
152C3×#95C22×C312yes—
153C3×#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C23×C32C2411yescharacteristic
158C22×C3×D3—21no—
159C22×C3×D3—21no—
160C22×C3×D3—22no—
161C22×C3×D3—21no—
162C22×C3×D3—22no—
163C22×C3×D3—21no—
164C22×C3×D3—22no—
165C22×C3×D3C22×C412yes—
166C22×C3×D3C22×C412yes—
167C22×C3×D3#4114yes—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—22no—
171C2×C32×C4—22no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4C22×C412yes—
176C2×C32×C4C22×C412yes—
177C2×C32×C4C22×C412yes—
178C2×C32×C4C2×D414yes—
179C2×C32×C4C2×D412yes—
180C2×C32×C4#4112yes—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3C22×C412yes—
191C2×C3×Dic3C22×C412yes—
192C2×C3×Dic3#4114yes—
193C3×D12—28no—
194C3×C4×D3—216no—
195C3×C4×D3—28no—
196C3×C4×D3—28no—
197C2×C4×D4—31no—
198C2×#117—31no—
199C22×C42—31no—
200#388—32no—
201#387—32no—
202#386—32no—
203#385—32no—
204C4×C4⋊C4—31no—
205C4×C22⋊C4—31no—
206C4×C22⋊C4—31no—
207#376C3×D311yescharacteristic, complemented
208C24×C3—31no—
209C24×C3—31no—
210C23×D3C23×C311yescharacteristic
211C23×D3C23×C311yescharacteristic
212C2×C3×D4—34no—
213C2×C3×D4—64no—
214C22×C3×C4—21no—
215C22×C3×C4—22no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—22no—
219C22×C3×C4—31no—
220C22×C3×C4—32no—
221C22×C3×C4—31no—
222C22×C3×C4—34no—
223C22×C3×C4—34no—
224C22×C3×C4—32no—
225C22×C3×C4—64no—
226C22×C3×C4—64no—
227C22×C3×C4—64no—
228C22×C3×C4—62no—
229C22×C3×C4—62no—
230C22×C3×C4—62no—
231C22×C3×C4—62no—
232C22×C3×C4C22×D312yes—
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C22×D311yescharacteristic
235C22×C3×C4C22×D312yes—
236C22×C3×C4C22×D311yescharacteristic
237C22×C3×C4C23×C312yes—
238C22×C3×C4C23×C311yescharacteristic
239C22×C3×C4C23×C311yescharacteristic
240C22×C3×C4C23×C312yes—
241C22×C3×C4C23×C311yescharacteristic
242C22×Dic3C23×C312yes—
243C22×Dic3C23×C311yescharacteristic
244C22×Dic3C23×C311yescharacteristic
245C22×Dic3C23×C312yes—
246C2×D12—24no—
247C2×D12C2×C3×C414yes—
248C2×C4×D3—24no—
249C2×C4×D3—24no—
250C2×C4×D3—22no—
251C2×C4×D3—22no—
252C2×C4×D3—22no—
253C2×C4×D3—22no—
254C2×C4×D3—24no—
255C2×C4×D3C2×C3×C414yes—
256C2×C4×D3C2×C3×C414yescomplemented
257C3×C4⋊C4—34no—
258C3×C4⋊C4—64no—
259C3×C4⋊C4—64no—
260C3×C22⋊C4—34no—
261C3×C22⋊C4—34no—
262C3×C22⋊C4—64no—
263C3×C22⋊C4—64no—
264C3×C22⋊C4—64no—
265C3×C42—24no—
266C3×C42—22no—
267C3×C42—22no—
268C3×C42—24no—
269C3×C42—24no—
270C3×C42—64no—
271C3×C42—62no—
272C3×C42—62no—
273C3×C42C4×D314yescomplemented
274C3×C42D1214yescomplemented
275C3×C42C2×C3×C414yescomplemented
276C3×C42C3×D414yescomplemented
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4C2×C3×C414yes—
281(C2×D3)⋊C4C2×C3×C414yescomplemented
282C4⋊Dic3—24no—
283C4⋊Dic3C2×C3×C414yescomplemented
284Dic3⋊C4—24no—
285C4×Dic3—24no—
286C4×Dic3—22no—
287C4×Dic3—22no—
288C22×C32C23×C411yescharacteristic
289C22×C32C22×D411yescharacteristic
290C22×C32C2×#4111yescharacteristic
291C22×C32C2×#4112yes—
292C22×C32C2×#4112yes—
293C2×C3×D3—22no—
294C2×C3×D3—22no—
295C2×C3×D3—24no—
296C2×C3×D3—24no—
297C2×C3×D3—22no—
298C2×C3×D3—22no—
299C2×C3×D3—22no—
300C2×C3×D3—42no—
301C2×C3×D3—42no—
302C2×C3×D3#11714yescomplemented
303C32×C4—22no—
304C32×C4—22no—
305C32×C4—24no—
306C32×C4—42no—
307C32×C4C4×D414yes—
308C3×Dic3—22no—
309C3×Dic3—22no—
310C3×Dic3—24no—
311C3×Dic3—42no—
312C22×D4—31no—
313C23×C4—31no—
314C23×C4—31no—
315C23×C4—32no—
316C4×D4—38no—
317#117—64no—
318C2×C4⋊C4—31no—
319C2×C4⋊C4—32no—
320C2×C4⋊C4—32no—
321C2×C22⋊C4—31no—
322C2×C22⋊C4—31no—
323C2×C22⋊C4—32no—
324C2×C22⋊C4—32no—
325C2×C22⋊C4—32no—
326C2×C42—31no—
327C2×C42—31no—
328C2×C42—32no—
329C2×C42—64no—
330C2×C42C2×C3×D311yescharacteristic
331C2×C42C2×C3×D311yescharacteristic
332C2×C42C2×C3×D311yescharacteristic
333#95—32no—
334#95—32no—
335#95—32no—
336#95C2×C3×D312yes—
337#95C2×C3×D312yes—
338C23×C3—21no—
339C23×C3—32no—
340C23×C3—34no—
341C23×C3—32no—
342C23×C3—61no—
343C23×C3—61no—
344C23×C3—62no—
345C23×C3—61no—
346C23×C3—61no—
347C23×C3—62no—
348C23×C3—62no—
349C23×C3C23×D311yescharacteristic
350C23×C3C24×C311yescharacteristic
351C22×D3—21no—
352C22×D3—21no—
353C22×D3—22no—
354C22×D3—21no—
355C22×D3—22no—
356C22×D3—21no—
357C22×D3—22no—
358C22×D3C22×C3×C412yes—
359C22×D3C22×C3×C412yes—
360C22×D3C3×#4114yes—
361C3×D4—68no—
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—24no—
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—22no—
380C2×C3×C4—22no—
381C2×C3×C4—24no—
382C2×C3×C4—22no—
383C2×C3×C4—32no—
384C2×C3×C4—32no—
385C2×C3×C4—34no—
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—616no—
393C2×C3×C4—61no—
394C2×C3×C4—62no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—61no—
398C2×C3×C4—62no—
399C2×C3×C4—68no—
400C2×C3×C4—68no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4C2×C4×D312yes—
405C2×C3×C4C2×C4×D312yes—
406C2×C3×C4C2×C4×D312yes—
407C2×C3×C4C2×D1214yes—
408C2×C3×C4C2×D1212yes—
409C2×C3×C4#23512yes—
410C2×C3×C4C22×C3×C412yes—
411C2×C3×C4C22×C3×C412yes—
412C2×C3×C4C22×C3×C412yes—
413C2×C3×C4C2×C3×D414yes—
414C2×C3×C4C2×C3×D412yes—
415C2×C3×C4C3×#4112yes—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3C22×C3×C412yes—
426C2×Dic3C22×C3×C412yes—
427C2×Dic3C3×#4114yes—
428D12—28no—
429C4×D3—216no—
430C4×D3—28no—
431C4×D3—28no—
432C2×C32C2×#11711yescharacteristic
433C2×C32C2×C4×D411yescharacteristic
434C2×C32C4×#4111yescharacteristic
435C2×C32#52512yes—
436C2×C32#52912yes—
437C3×D3—24no—
438C3×D3—42no—
439C24—31no—
440C24—31no—
441C2×D4—34no—
442C2×D4—64no—
443C22×C4—31no—
444C22×C4—32no—
445C22×C4—31no—
446C22×C4—34no—
447C22×C4—34no—
448C22×C4—32no—
449C22×C4—64no—
450C22×C4—64no—
451C22×C4—64no—
452C22×C4—62no—
453C22×C4—62no—
454C22×C4—62no—
455C22×C4—62no—
456C22×C4C22×C3×D312yes—
457C22×C4C22×C3×D311yescharacteristic
458C22×C4C22×C3×D311yescharacteristic
459C22×C4C22×C3×D312yes—
460C22×C4C22×C3×D311yescharacteristic
461C4⋊C4—34no—
462C4⋊C4—64no—
463C4⋊C4—64no—
464C22⋊C4—34no—
465C22⋊C4—34no—
466C22⋊C4—64no—
467C22⋊C4—64no—
468C22⋊C4—64no—
469C42—22no—
470C42—64no—
471C42—62no—
472C42—62no—
473C42C3×C4×D314yescomplemented
474C42C3×D1214yescomplemented
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—34no—
481C22×C3—62no—
482C22×C3—62no—
483C22×C3—64no—
484C22×C3—64no—
485C22×C3—62no—
486C22×C3—62no—
487C22×C3—62no—
488C22×C3—122no—
489C22×C3—122no—
490C22×C3C22×C4×D311yescharacteristic
491C22×C3C22×D1211yescharacteristic
492C22×C3C2×#23511yescharacteristic
493C22×C3D3×#4112yes—
494C22×C3D3×#4112yes—
495C22×C3C23×C3×C411yescharacteristic
496C22×C3C22×C3×D411yescharacteristic
497C22×C3C2×C3×#4111yescharacteristic
498C22×C3C2×C3×#4112yes—
499C22×C3C2×C3×#4112yes—
500C2×D3—22no—
501C2×D3—22no—
502C2×D3—24no—
503C2×D3—24no—
504C2×D3—22no—
505C2×D3—22no—
506C2×D3—22no—
507C2×D3—42no—
508C2×D3—42no—
509C2×D3C3×#11714yescomplemented
510C3×C4—22no—
511C3×C4—22no—
512C3×C4—24no—
513C3×C4—22no—
514C3×C4—22no—
515C3×C4—24no—
516C3×C4—24no—
517C3×C4—42no—
518C3×C4—42no—
519C3×C4—44no—
520C3×C4—44no—
521C3×C4—42no—
522C3×C4—42no—
523C3×C4—62no—
524C3×C4—62no—
525C3×C4—64no—
526C3×C4—122no—
527C3×C4C4×D1214yes—
528C3×C4C3×C4×D414yes—
529Dic3—22no—
530Dic3—22no—
531Dic3—24no—
532Dic3—42no—
533C32#229011yescharacteristic, complemented, Sylow
534C23—32no—
535C23—34no—
536C23—32no—
537C23—61no—
538C23—61no—
539C23—62no—
540C23—61no—
541C23—61no—
542C23—62no—
543C23—62no—
544C23C23×C3×D311yescharacteristic
545D4—68no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—32no—
554C2×C4—32no—
555C2×C4—34no—
556C2×C4—616no—
557C2×C4—62no—
558C2×C4—61no—
559C2×C4—61no—
560C2×C4—61no—
561C2×C4—61no—
562C2×C4—62no—
563C2×C4—68no—
564C2×C4—68no—
565C2×C4—62no—
566C2×C4—62no—
567C2×C4—62no—
568C2×C4C2×C3×C4×D312yes—
569C2×C4C2×C3×C4×D312yes—
570C2×C4C2×C3×C4×D312yes—
571C2×C4C2×C3×D1214yes—
572C2×C4C2×C3×D1212yes—
573C2×C4C3×#23512yes—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—22no—
577C2×C3—22no—
578C2×C3—21no—
579C2×C3—64no—
580C2×C3—122no—
581C2×C3C2×C4×D1211yescharacteristic
582C2×C3D3×#11711yescharacteristic
583C2×C3#552211yescharacteristic
584C2×C3#552412yes—
585C2×C3#552812yes—
586C2×C3C2×C3×#11711yescharacteristic
587C2×C3C2×C3×C4×D411yescharacteristic
588C2×C3C3×C4×#4111yescharacteristic
589C2×C3C3×#52512yes—
590C2×C3C3×#52912yes—
591D3—24no—
592D3—42no—
593C22—34no—
594C22—62no—
595C22—64no—
596C22—64no—
597C22—62no—
598C22—62no—
599C22—62no—
600C22—62no—
601C22—122no—
602C22—122no—
603C22C22×C3×C4×D311yescharacteristic
604C22C22×C3×D1211yescharacteristic
605C22C2×C3×#23511yescharacteristic
606C22C3×D3×#4112yes—
607C22C3×D3×#4112yes—
608C4—22no—
609C4—22no—
610C4—24no—
611C4—42no—
612C4—64no—
613C4—62no—
614C4—62no—
615C4—122no—
616C4C3×C4×D1214yes—
617C3—21no—
618C3#7341411yescharacteristic, direct product factor
619C3C3×#229011yescharacteristic, complemented
620C2—64no—
621C2—122no—
622C2C2×C3×C4×D1211yescharacteristic
623C2C3×D3×#11711yescharacteristic
624C2C3×#552211yescharacteristic
625C2C3×#552412yes—
626C2C3×#552812yes—
subgroupG/H
centerC22×C3×C4C22×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#376C2
socleC23×C32C24
prime radicalC22×C3×D12C22
cosocleC23×C3C24×C3
hypercenterC3×#376D3
hypocenterC3C3×#2290
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3×C4 ◁ C3×#376

Complements

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

NH ≅ G/Ntype
2. C2×C3×#872C2semidirect
3. C2×C3×C42×D3C2semidirect
4. C32×#376C2semidirect
5. C3×C4×(C2×D3)⋊C4C2semidirect
6. C3×C4×(C2×D3)⋊C4C2semidirect
7. C3×C4×C4⋊Dic3C2semidirect
8. C3×#4670C2semidirect
9. C3×#4668C2semidirect
11. C3×#4653C2semidirect
13. #73414C3direct (N × H)
32. C3×C4×D12C4semidirect
44. C2×#872C2×C3semidirect
45. C2×C42×D3C2×C3semidirect
54. C3×#376D3semidirect
55. C3×#376C2×C3semidirect
56. C4×(C2×D3)⋊C4C2×C3semidirect
57. C4×(C2×D3)⋊C4C2×C3semidirect
58. C4×C4⋊Dic3C2×C3semidirect
59. #4670C2×C3semidirect
60. #4668C2×C3semidirect
62. #4653C2×C3semidirect
84. C2×C3×C4×D3C2×C4semidirect
86. C32×C42C2×C4semidirect
87. C32×C42D4semidirect
92. C3×(C2×D3)⋊C4C2×C4semidirect
94. C3×C4⋊Dic3C2×C4semidirect
142. C4×D12C3×C4semidirect
207. #376C3×D3semidirect
256. C2×C4×D3C2×C3×C4semidirect
273. C3×C42C4×D3semidirect
274. C3×C42D12semidirect
275. C3×C42C2×C3×C4semidirect
276. C3×C42C3×D4semidirect
281. (C2×D3)⋊C4C2×C3×C4semidirect
283. C4⋊Dic3C2×C3×C4semidirect
302. C2×C3×D3#117semidirect
473. C42C3×C4×D3semidirect
474. C42C3×D12semidirect
509. C2×D3C3×#117semidirect
533. C32#2290semidirect
618. C3#73414direct (N × H)
619. C3C3×#2290semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D122
C2×C3×#8722
C2×C3×C42×D32
C32×#3762
C3×C4×(C2×D3)⋊C42
C3×C4×C4⋊Dic32
C3×#46702
C3×#46682
C3×#46652
C3×#46532
C3×#22903
#734143