Finite Group Databasebeta

← C3×#74384 #11803346

Subgroups — C3×#74384 #11803346

Order 1152.

1381 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×Dic3⋊C4C211yesmaximal, characteristic, complemented
2C2×C3×#886C211yesmaximal, characteristic
3C2×C3×#67⋊C4C211yesmaximal, characteristic
4C32×#385C211yesmaximal, characteristic, complemented
5C3×#5213C211yesmaximal, characteristic
6C3×#4989C212yesmaximal, complemented
7C3×#4972C212yesmaximal, complemented
8C3×#4943C211yesmaximal, characteristic, complemented
9C3×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
10C3×#4669C212yesmaximal, complemented
11C3×#4654C212yesmaximal, complemented
12C3×#2322—31nomaximal
13#74384C311yesmaximal, characteristic, direct product factor
14C23×C32×C4C2211yescharacteristic
15C22×C3×#67C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C22×C3×C4×D3C2211yescharacteristic
19C2×C32×C4⋊C4C2212yes—
20C2×C32×C22⋊C4C2211yescharacteristic
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×C3×#217C2211yescharacteristic
23C2×C3×(C2×D3)⋊C4C2211yescharacteristic
24C2×C3×(C2×D3)⋊C4C2212yes—
25C2×C3×(C2×D3)⋊C4C2212yes—
26C2×C3×C4⋊Dic3C2212yes—
27C2×C3×Dic3⋊C4—24no—
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2212yes—
33C3×#886C418yescomplemented
34C3×#67⋊C4—24no—
35C32×#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×#123—31no—
41C2×C3×C4×D4—31no—
42C22×C3×C4⋊C4—31no—
43C22×Dic3⋊C4C2×C311yescharacteristic, complemented
44C2×#886C2×C311yescharacteristic
45C2×#67⋊C4C2×C311yescharacteristic
46C3×#389—32no—
47C3×#388—32no—
48C3×#387—32no—
49C3×#386—31no—
50C3×#385—21no—
51C3×#385—32no—
52C3×#385D311yescharacteristic, complemented
53C3×#385C2×C311yescharacteristic, complemented
54C3×#381—31no—
55C3×C4×C22⋊C4—31no—
56#5213C2×C311yescharacteristic
57#4989C2×C312yescomplemented
58#4972C2×C312yescomplemented
59#4943C2×C311yescharacteristic, complemented
60Dic3×C22⋊C4C2×C311yescharacteristic, complemented
61#4669C2×C312yescomplemented
62#4654C2×C312yescomplemented
63C24×C32C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C22×C32×C4—22no—
66C22×C32×C4—42no—
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2312yes—
71C2×C3×#67—22no—
72C2×C3×#67—22no—
73C2×C3×#67C2×C414yes—
74C22×C3×Dic3—22no—
75C22×C3×Dic3—22no—
76C22×C3×Dic3—42no—
77C22×C3×Dic3C2×C414yescomplemented
78C22×C3×Dic3D414yes—
79C22×C3×Dic3C2312yes—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2311yescharacteristic
84C2×C3×C4×D3—22no—
85C2×C3×C4×D3—42no—
86C32×C4⋊C4—42no—
87C32×C22⋊C4—22no—
88C32×C22⋊C4C2×C414yescomplemented
89C3×#217—22no—
90C3×(C2×D3)⋊C4—22no—
91C3×(C2×D3)⋊C4—42no—
92C3×(C2×D3)⋊C4C2×C418yescomplemented
93C3×C4⋊Dic3C2×C418yescomplemented
94C3×Dic3⋊C4—22no—
95C3×Dic3⋊C4—24no—
96C3×Dic3⋊C4—24no—
97C3×C4×Dic3—22no—
98C3×C4×Dic3—42no—
99#2322—31noSylow
100C22×C3×D4—31no—
101C23×C3×C4—21no—
102C23×C3×C4—31no—
103C23×C3×C4—31no—
104C23×C3×C4—31no—
105C23×C3×C4C2×D311yescharacteristic
106C23×C3×C4C22×C311yescharacteristic
107C22×#67C22×C311yescharacteristic
108C23×Dic3C22×C311yescharacteristic
109C23×Dic3C22×C311yescharacteristic
110C22×C4×D3C22×C311yescharacteristic
111C3×#123—38no—
112C3×C4×D4—64no—
113C2×C3×C4⋊C4—22no—
114C2×C3×C4⋊C4—32no—
115C2×C3×C4⋊C4—32no—
116C2×C3×C4⋊C4—32no—
117C2×C3×C4⋊C4—31no—
118C2×C3×C4⋊C4—64no—
119C2×C3×C4⋊C4C2×D312yes—
120C2×C3×C4⋊C4C22×C312yes—
121C2×C3×C22⋊C4—21no—
122C2×C3×C22⋊C4—21no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—31no—
126C2×C3×C22⋊C4—32no—
127C2×C3×C22⋊C4C2×D311yescharacteristic
128C2×C3×C22⋊C4C2×D311yescharacteristic
129C2×C3×C22⋊C4C22×C311yescharacteristic
130C2×C3×C22⋊C4C22×C311yescharacteristic
131C2×C3×C42—31no—
132C2×C3×C42—32no—
133C2×#217C22×C311yescharacteristic
134C2×(C2×D3)⋊C4C22×C311yescharacteristic
135C2×(C2×D3)⋊C4C22×C312yes—
136C2×(C2×D3)⋊C4C22×C312yes—
137C2×C4⋊Dic3C22×C312yes—
138C2×Dic3⋊C4—24no—
139C2×Dic3⋊C4C22×C312yes—
140C2×Dic3⋊C4C22×C312yes—
141C2×Dic3⋊C4C22×C311yescharacteristic
142C2×C4×Dic3C22×C311yescharacteristic
143C2×C4×Dic3C22×C312yes—
144#886C3×C418yescomplemented
145#67⋊C4—24no—
146C3×#95—22no—
147C3×#95—32no—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95—32no—
151C3×#95C2×D312yes—
152C3×#95C22×C312yes—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C23×C32—22no—
158C23×C32—22no—
159C23×C32C22×C412yes—
160C23×C32C2×D412yes—
161C23×C32#4112yes—
162C23×C32C2411yescharacteristic
163C22×C3×D3—21no—
164C22×C3×D3—21no—
165C22×C3×D3—22no—
166C22×C3×D3—22no—
167C22×C3×D3C22×C412yes—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—22no—
171C2×C32×C4—21no—
172C2×C32×C4—22no—
173C2×C32×C4—21no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—44no—
178C2×C32×C4C22×C414yes—
179C3×#67—28no—
180C2×C3×Dic3—28no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—44no—
191C2×C3×Dic3C22×C412yes—
192C2×C3×Dic3C22×C414yes—
193C2×C3×Dic3C2×D412yes—
194C2×C3×Dic3C2×D412yes—
195C3×C4×D3—44no—
196C2×#123—31no—
197C2×C4×D4—31no—
198C22×C4⋊C4—31no—
199#389—32no—
200#388—32no—
201#387—32no—
202#386—31no—
203#385—32no—
204#385C3×D311yescharacteristic, complemented
205#381—31no—
206C4×C22⋊C4—31no—
207C24×C3—21no—
208C24×C3—31no—
209C24×C3C22×D311yescharacteristic
210C24×C3C23×C311yescharacteristic
211C23×D3C23×C311yescharacteristic
212C2×C3×D4—34no—
213C2×C3×D4—62no—
214C2×C3×D4—62no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—34no—
222C22×C3×C4—31no—
223C22×C3×C4—31no—
224C22×C3×C4—32no—
225C22×C3×C4—31no—
226C22×C3×C4—34no—
227C22×C3×C4—32no—
228C22×C3×C4—42no—
229C22×C3×C4—42no—
230C22×C3×C4—42no—
231C22×C3×C4—44no—
232C22×C3×C4—62no—
233C22×C3×C4—62no—
234C22×C3×C4—62no—
235C22×C3×C4—122no—
236C22×C3×C4—122no—
237C22×C3×C4C22×D311yescharacteristic
238C22×C3×C4C22×D311yescharacteristic
239C22×C3×C4C22×D312yes—
240C22×C3×C4C22×D312yes—
241C22×C3×C4C23×C311yescharacteristic
242C22×C3×C4C23×C311yescharacteristic
243C22×C3×C4C23×C312yes—
244C22×C3×C4C23×C312yes—
245C2×#67—22no—
246C2×#67—22no—
247C2×#67C2×C3×C414yes—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—42no—
251C22×Dic3C2×C3×C414yescomplemented
252C22×Dic3C3×D414yes—
253C22×Dic3C23×C312yes—
254C22×Dic3C23×C311yescharacteristic
255C22×Dic3C23×C312yes—
256C22×Dic3C23×C311yescharacteristic
257C22×Dic3C23×C311yescharacteristic
258C2×C4×D3—22no—
259C2×C4×D3—42no—
260C3×C4⋊C4—38no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—44no—
264C3×C4⋊C4—64no—
265C3×C4⋊C4—64no—
266C3×C4⋊C4—62no—
267C3×C22⋊C4—22no—
268C3×C22⋊C4—22no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—38no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—62no—
273C3×C22⋊C4—62no—
274C3×C22⋊C4—122no—
275C3×C22⋊C4C4×D314yescomplemented
276C3×C22⋊C4C2×C3×C414yescomplemented
277C3×C42—62no—
278C3×C42—122no—
279#217—22no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4—42no—
282(C2×D3)⋊C4C2×C3×C418yescomplemented
283C4⋊Dic3C2×C3×C418yescomplemented
284Dic3⋊C4—22no—
285Dic3⋊C4—24no—
286Dic3⋊C4—24no—
287C4×Dic3—22no—
288C4×Dic3—42no—
289C22×C32—24no—
290C22×C32—22no—
291C22×C32—22no—
292C22×C32—24no—
293C22×C32C4×D414yes—
294C22×C32C23×C411yescharacteristic
295C22×C32C22×D411yescharacteristic
296C22×C32C2×#4111yescharacteristic
297C22×C32H(5,𝔽2)12yes—
298C22×C322−1+412yes—
299C2×C3×D3—22no—
300C2×C3×D3—24no—
301C2×C3×D3—41no—
302C2×C3×D3—41no—
303C2×C3×D3—42no—
304C32×C4—24no—
305C32×C4—42no—
306C32×C4—41no—
307C32×C4—41no—
308C3×Dic3—24no—
309C3×Dic3—22no—
310C3×Dic3—22no—
311C3×Dic3—22no—
312C3×Dic3—42no—
313C22×D4—31no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—31no—
317C23×C4C2×C3×D311yescharacteristic
318#123—38no—
319C4×D4—64no—
320C2×C4⋊C4—32no—
321C2×C4⋊C4—32no—
322C2×C4⋊C4—32no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—64no—
325C2×C4⋊C4C2×C3×D312yes—
326C2×C22⋊C4—32no—
327C2×C22⋊C4—31no—
328C2×C22⋊C4—31no—
329C2×C22⋊C4—32no—
330C2×C22⋊C4C2×C3×D311yescharacteristic
331C2×C22⋊C4C2×C3×D311yescharacteristic
332C2×C42—31no—
333C2×C42—32no—
334#95—32no—
335#95—32no—
336#95—32no—
337#95—32no—
338#95C2×C3×D312yes—
339C23×C3—22no—
340C23×C3—22no—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—21no—
344C23×C3—22no—
345C23×C3—22no—
346C23×C3—22no—
347C23×C3—32no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—61no—
351C23×C3—62no—
352C23×C3—61no—
353C23×C3—62no—
354C23×C3C2×C4×D312yes—
355C23×C3D3×D412yes—
356C23×C3#23912yes—
357C23×C3C22×C3×C412yes—
358C23×C3C2×C3×D412yes—
359C23×C3C3×#4112yes—
360C23×C3C23×D311yescharacteristic
361C23×C3C24×C311yescharacteristic
362C22×D3—21no—
363C22×D3—21no—
364C22×D3—22no—
365C22×D3—22no—
366C22×D3C22×C3×C412yes—
367C3×D4—68no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—24no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—24no—
388C2×C3×C4—34no—
389C2×C3×C4—32no—
390C2×C3×C4—32no—
391C2×C3×C4—32no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—42no—
399C2×C3×C4—42no—
400C2×C3×C4—44no—
401C2×C3×C4—44no—
402C2×C3×C4—48no—
403C2×C3×C4—68no—
404C2×C3×C4—61no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—61no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—124no—
414C2×C3×C4—124no—
415C2×C3×C4C2×C4×D314yes—
416C2×C3×C4C22×C3×C414yes—
417#67—28no—
418C2×Dic3—28no—
419C2×Dic3—21no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—21no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—44no—
429C2×Dic3C22×C3×C412yes—
430C2×Dic3C22×C3×C414yes—
431C2×Dic3C2×C3×D412yes—
432C2×Dic3C2×C3×D412yes—
433C4×D3—44no—
434C2×C32—24no—
435C2×C32C2×C4×D411yescharacteristic
436C2×C32#52012yes—
437C2×C32#53411yescharacteristic
438C2×C32#53611yescharacteristic
439C2×C32#53912yes—
440C3×D3—42no—
441C24—31no—
442C24C22×C3×D311yescharacteristic
443C2×D4—34no—
444C2×D4—62no—
445C2×D4—62no—
446C22×C4—22no—
447C22×C4—31no—
448C22×C4—31no—
449C22×C4—32no—
450C22×C4—31no—
451C22×C4—34no—
452C22×C4—34no—
453C22×C4—32no—
454C22×C4—42no—
455C22×C4—62no—
456C22×C4—62no—
457C22×C4—62no—
458C22×C4—122no—
459C22×C4—122no—
460C22×C4C22×C3×D311yescharacteristic
461C22×C4C22×C3×D311yescharacteristic
462C22×C4C22×C3×D312yes—
463C22×C4C22×C3×D312yes—
464C4⋊C4—38no—
465C4⋊C4—42no—
466C4⋊C4—64no—
467C4⋊C4—64no—
468C4⋊C4—62no—
469C22⋊C4—22no—
470C22⋊C4—38no—
471C22⋊C4—62no—
472C22⋊C4—62no—
473C22⋊C4—122no—
474C22⋊C4C3×C4×D314yescomplemented
475C42—62no—
476C42—122no—
477C22×C3—24no—
478C22×C3—22no—
479C22×C3—24no—
480C22×C3—22no—
481C22×C3—24no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—24no—
485C22×C3—24no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—22no—
489C22×C3—21no—
490C22×C3—22no—
491C22×C3—42no—
492C22×C3—44no—
493C22×C3—44no—
494C22×C3—42no—
495C22×C3—62no—
496C22×C3—64no—
497C22×C3—122no—
498C22×C3—121no—
499C22×C3—121no—
500C22×C3#89314yes—
501C22×C3C3×C4×D414yes—
502C22×C3C22×C4×D311yescharacteristic
503C22×C3C2×D3×D411yescharacteristic
504C22×C3#100412yes—
505C22×C3C2×#23911yescharacteristic
506C22×C3#101012yes—
507C22×C3C23×C3×C411yescharacteristic
508C22×C3C22×C3×D411yescharacteristic
509C22×C3C2×C3×#4111yescharacteristic
510C22×C3C3×H(5,𝔽2)12yes—
511C22×C3C3×2−1+412yes—
512C2×D3—22no—
513C2×D3—24no—
514C2×D3—41no—
515C2×D3—41no—
516C2×D3—42no—
517C3×C4—24no—
518C3×C4—24no—
519C3×C4—44no—
520C3×C4—44no—
521C3×C4—41no—
522C3×C4—42no—
523C3×C4—41no—
524C3×C4—41no—
525C3×C4—42no—
526C3×C4—41no—
527C3×C4—64no—
528C3×C4—62no—
529C3×C4—62no—
530C3×C4—62no—
531C3×C4—81no—
532C3×C4—81no—
533C3×C4—122no—
534Dic3—24no—
535Dic3—22no—
536Dic3—22no—
537Dic3—22no—
538Dic3—42no—
539C32#232211yescharacteristic, complemented, Sylow
540C23—22no—
541C23—22no—
542C23—32no—
543C23—61no—
544C23—62no—
545C23—61no—
546C23—62no—
547C23C2×C3×C4×D312yes—
548C23C3×D3×D412yes—
549C23C3×#23912yes—
550C23C23×C3×D311yescharacteristic
551D4—68no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—34no—
562C2×C4—32no—
563C2×C4—32no—
564C2×C4—32no—
565C2×C4—44no—
566C2×C4—68no—
567C2×C4—61no—
568C2×C4—62no—
569C2×C4—62no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—61no—
573C2×C4—62no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—124no—
577C2×C4—124no—
578C2×C4C2×C3×C4×D314yes—
579C2×C3—24no—
580C2×C3—24no—
581C2×C3—21no—
582C2×C3—22no—
583C2×C3—21no—
584C2×C3—22no—
585C2×C3—21no—
586C2×C3—44no—
587C2×C3—122no—
588C2×C3C2×#89311yescharacteristic
589C2×C3#554612yes—
590C2×C3#558911yescharacteristic
591C2×C3#564512yes—
592C2×C3#564811yescharacteristic
593C2×C3C2×C3×C4×D411yescharacteristic
594C2×C3C3×#52012yes—
595C2×C3C3×#53411yescharacteristic
596C2×C3C3×#53611yescharacteristic
597C2×C3C3×#53912yes—
598D3—42no—
599C22—24no—
600C22—22no—
601C22—24no—
602C22—22no—
603C22—62no—
604C22—64no—
605C22—121no—
606C22—122no—
607C22—121no—
608C22C3×#89314yes—
609C22C22×C3×C4×D311yescharacteristic
610C22C2×C3×D3×D411yescharacteristic
611C22C3×#100412yes—
612C22C2×C3×#23911yescharacteristic
613C22C3×#101012yes—
614C4—24no—
615C4—42no—
616C4—41no—
617C4—41no—
618C4—64no—
619C4—62no—
620C4—62no—
621C4—62no—
622C4—122no—
623C3—21no—
624C3#7438411yescharacteristic, direct product factor
625C3C3×#232211yescharacteristic, complemented
626C2—24no—
627C2—122no—
628C2C2×C3×#89311yescharacteristic
629C2C3×#554612yes—
630C2C3×#558911yescharacteristic
631C2C3×#564512yes—
632C2C3×#564811yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#385C2
socleC23×C32C24
prime radicalC22×C3×#67C22
cosocleC23×C3C24×C3
hypercenterC3×#385D3
hypocenterC3C3×#2322
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#385

Complements

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

NH ≅ G/Ntype
1. C22×C3×Dic3⋊C4C2semidirect
4. C32×#385C2semidirect
6. C3×#4989C2semidirect
7. C3×#4972C2semidirect
8. C3×#4943C2semidirect
9. C3×Dic3×C22⋊C4C2semidirect
10. C3×#4669C2semidirect
11. C3×#4654C2semidirect
13. #74384C3direct (N × H)
33. C3×#886C4semidirect
43. C22×Dic3⋊C4C2×C3semidirect
52. C3×#385D3semidirect
53. C3×#385C2×C3semidirect
57. #4989C2×C3semidirect
58. #4972C2×C3semidirect
59. #4943C2×C3semidirect
60. Dic3×C22⋊C4C2×C3semidirect
61. #4669C2×C3semidirect
62. #4654C2×C3semidirect
77. C22×C3×Dic3C2×C4semidirect
88. C32×C22⋊C4C2×C4semidirect
92. C3×(C2×D3)⋊C4C2×C4semidirect
93. C3×C4⋊Dic3C2×C4semidirect
144. #886C3×C4semidirect
204. #385C3×D3semidirect
251. C22×Dic3C2×C3×C4semidirect
275. C3×C22⋊C4C4×D3semidirect
276. C3×C22⋊C4C2×C3×C4semidirect
282. (C2×D3)⋊C4C2×C3×C4semidirect
283. C4⋊Dic3C2×C3×C4semidirect
474. C22⋊C4C3×C4×D3semidirect
539. C32#2322semidirect
624. C3#74384direct (N × H)
625. C3C3×#2322semidirect

Maximal subgroups

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

subgroupindex
C22×C3×Dic3⋊C42
C2×C3×#8862
C2×C3×#67⋊C42
C32×#3852
C3×#52132
C3×#49892
C3×#49722
C3×#49432
C3×Dic3×C22⋊C42
C3×#46692
C3×#46542
C3×#23223
#743843