Finite Group Databasebeta

← #11800884

Subgroups — #11800884

Order 1152.

1489 conjugacy classes of subgroups.

The subgroup lattice has 631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#872C211yesmaximal, characteristic
2C2×D3×C4⋊Dic3C211yesmaximal, characteristic
3C2×#63841C211yesmaximal, characteristic
4C4×C4⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
5C3×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
6#10591368C212yesmaximal
7Dic3×(C2×D3)⋊C4C212yesmaximal
8Dic3×C4⋊Dic3C211yesmaximal, characteristic, complemented
9Dic3×C4⋊Dic3C211yesmaximal, characteristic, complemented
10#10591241C212yesmaximal, complemented
11Dic3×Dic3⋊C4C212yesmaximal, complemented
12#82223—31nomaximal
13#73750—31nomaximal
14C22×C3×C4×D3C2211yescharacteristic
15C22×D3×Dic3C2212yes—
16C2×C32×C42C2211yescharacteristic
17C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
18C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
19C2×C4×C3⋊Dic3C2212yes—
20C2×C3×(C2×D3)⋊C4C2211yescharacteristic
21C2×C3×(C2×D3)⋊C4C2211yescharacteristic
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×Dic3⋊C4C2211yescharacteristic
25C2×C3×Dic3⋊C4C2211yescharacteristic
26C2×C3×C4×Dic3C2212yes—
27C2×C3×C4×Dic3C2211yescharacteristic
28C3×#872C418yescomplemented
29C2×Dic3⋊Dic3C2212yes—
30C2×(C2×D3)⋊Dic3C2212yes—
31C2×Dic32C2212yes—
32C2×Dic32C2212yes—
33C2×Dic32C2212yes—
34D3×C4⋊Dic3C418yescomplemented
35#63841C418yescomplemented
36#63658C2212yes—
37C3×C3⋊#95C2212yes—
38#63579C2212yes—
39#63579C2212yes—
40C2×C3×#117—31no—
41C2×#926—31no—
42C22×C4⋊Dic3—31no—
43C2×#892—31no—
44C2×D3×C4⋊C4—31no—
45C2×#872D311yescharacteristic
46C3×C4×C4⋊C4—31no—
47Dic3×C4⋊C4—32no—
48Dic3×C4⋊C4—31no—
49Dic3×C4⋊C4—31no—
50Dic3×C4⋊C4—32no—
51Dic3×C22⋊C4—32no—
52Dic3×C22⋊C4—32no—
53C4×(C2×D3)⋊C4—32no—
54C4×C4⋊Dic3—31no—
55C4×C4⋊Dic3—31no—
56C4×C4⋊Dic3—31no—
57C4×C4⋊Dic3—31no—
58C4×C4⋊Dic3—61no—
59C4×C4⋊Dic3D311yescharacteristic, complemented
60C4×Dic3⋊C4—32no—
61#4666—32no—
62#4649—32no—
63C23×C3×D3C2311yescharacteristic
64C22×C32×C4C2311yescharacteristic
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C3⋊Dic3C2312yes—
68C22×C3⋊Dic3C2312yes—
69C22×C3×Dic3C2311yescharacteristic
70C22×C3×Dic3C2311yescharacteristic
71C22×C3×Dic3C2312yes—
72C22×C3×Dic3C2312yes—
73C22×C3×Dic3C2311yescharacteristic
74C2×C3×C4×D3C2×C414yes—
75C2×C3×C4×D3C2×C414yes—
76C2×C3×C4×D3C2×C414yes—
77C2×D3×Dic3—42no—
78C2×D3×Dic3—42no—
79C2×D3×Dic3C2×C418yes—
80C32×C42C2×C414yescomplemented
81C4⋊(C3⋊Dic3)C2×C414yes—
82C4⋊(C3⋊Dic3)C2×C414yescomplemented
83C4×C3⋊Dic3—42no—
84C3×(C2×D3)⋊C4C2×C414yes—
85C3×(C2×D3)⋊C4C2×C414yes—
86C3×C4⋊Dic3C2×C414yes—
87C3×C4⋊Dic3C2×C414yescomplemented
88C3×Dic3⋊C4C2×C414yescomplemented
89C3×Dic3⋊C4C2×C414yescomplemented
90C3×C4×Dic3—42no—
91C3×C4×Dic3C2×C414yescomplemented
92Dic3⋊Dic3C2×C418yes—
93(C2×D3)⋊Dic3C2×C418yes—
94Dic32—42no—
95Dic32—42no—
96Dic32C2×C418yescomplemented
97#2274—91noSylow
98C23×C3×C4—31no—
99C23×Dic3—32no—
100C22×C4×D3—32no—
101C22×C4×D3C2×D311yescharacteristic
102C3×#117—38no—
103C2×C3×C4⋊C4—31no—
104C2×C3×C4⋊C4—31no—
105C2×C3×C4⋊C4—31no—
106C2×C3×C4⋊C4—31no—
107C2×C3×C22⋊C4—31no—
108C2×C3×C22⋊C4—31no—
109C2×C3×C42—21no—
110C2×C3×C42—31no—
111C2×C3×C42—32no—
112C2×C3×C42C2×D311yescharacteristic
113C2×C3×C42C2×D311yescharacteristic
114C2×#217—32no—
115C2×(C2×D3)⋊C4—32no—
116C2×(C2×D3)⋊C4C2×D311yescharacteristic
117C2×(C2×D3)⋊C4C2×D311yescharacteristic
118#926—38no—
119C2×C4⋊Dic3—31no—
120C2×C4⋊Dic3—31no—
121C2×C4⋊Dic3—31no—
122C2×C4⋊Dic3—31no—
123C2×C4⋊Dic3—32no—
124C2×C4⋊Dic3—38no—
125C2×C4⋊Dic3—61no—
126C2×C4⋊Dic3—61no—
127C2×C4⋊Dic3C2×D311yescharacteristic
128C2×C4⋊Dic3C2×D311yescharacteristic
129C2×Dic3⋊C4—32no—
130C2×Dic3⋊C4C2×D311yescharacteristic
131C2×Dic3⋊C4C2×D311yescharacteristic
132C2×C4×Dic3—32no—
133C2×C4×Dic3—32no—
134C2×C4×Dic3—32no—
135C2×C4×Dic3—32no—
136C2×C4×Dic3—32no—
137C2×C4×Dic3—32no—
138C2×C4×Dic3—32no—
139C2×C4×Dic3—32no—
140C2×C4×Dic3—62no—
141C2×C4×Dic3C2×D312yes—
142C2×C4×Dic3C2×D311yescharacteristic
143#892—38no—
144D3×C4⋊C4—38no—
145#872Dic318yescomplemented
146C3×#95—32no—
147C3⋊#95—32no—
148C3⋊#95—32no—
149C3⋊#95—32no—
150C3⋊#95—32no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—62no—
154C3⋊#95C2×D312yes—
155C23×C32C2411yescharacteristic
156C22×C3×D3—21no—
157C22×C3×D3—21no—
158C22×C3×D3—21no—
159C22×C3×D3—21no—
160C22×C3×D3C22×C412yes—
161C22×C3×D3C22×C412yes—
162C22×C3×D3C22×C412yes—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—21no—
167C2×C32×C4C22×C412yes—
168C2×C32×C4C22×C412yes—
169C2×C32×C4C22×C412yes—
170C2×C32×C4C22×C412yes—
171C2×C32×C4C22×C412yes—
172C2×C3⋊Dic3—22no—
173C2×C3⋊Dic3—22no—
174C2×C3⋊Dic3—22no—
175C2×C3⋊Dic3—22no—
176C2×C3⋊Dic3C22×C414yes—
177C2×C3⋊Dic3C22×C414yes—
178C2×C3×Dic3—21no—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3C22×C414yes—
187C2×C3×Dic3C22×C414yes—
188C2×C3×Dic3C22×C412yes—
189C2×C3×Dic3C22×C412yes—
190C2×C3×Dic3C22×C412yes—
191C2×C3×Dic3C22×C412yes—
192C2×C3×Dic3C22×C412yes—
193C3×C4×D3C42116yescomplemented
194D3×Dic3—48no—
195C2×#117—31no—
196C2×#117—91no—
197C22×C4⋊C4—91no—
198C4×C4⋊C4—31no—
199C4×C4⋊C4—92no—
200C4×C4⋊C4—92no—
201C4×C4⋊C4—91no—
202C4×C4⋊C4—91no—
203C4×C4⋊C4—91no—
204C4×C22⋊C4—92no—
205C4×C22⋊C4—92no—
206C24×C3—31no—
207C23×D3C22×D311yescharacteristic
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—31no—
212C22×C3×C4—34no—
213C22×C3×C4—34no—
214C22×C3×C4—34no—
215C22×C3×C4—31no—
216C22×C3×C4—31no—
217C22×C3×C4—32no—
218C22×C3×C4—32no—
219C22×C3×C4C22×D311yescharacteristic
220C22×C3×C4C22×D311yescharacteristic
221C22×C3×C4C22×D311yescharacteristic
222C22×C3×C4C22×D311yescharacteristic
223C22×C3×C4C22×D311yescharacteristic
224C22×C3×C4C22×D311yescharacteristic
225C22×Dic3—32no—
226C22×Dic3—32no—
227C22×Dic3—32no—
228C22×Dic3—32no—
229C22×Dic3—38no—
230C22×Dic3—62no—
231C22×Dic3—62no—
232C22×Dic3—122no—
233C22×Dic3—122no—
234C22×Dic3C22×D312yes—
235C22×Dic3C22×D312yes—
236C22×Dic3C22×D311yescharacteristic
237C22×Dic3C22×D311yescharacteristic
238C22×Dic3C22×D311yescharacteristic
239C2×C4×D3—38no—
240C2×C4×D3—122no—
241C2×C4×D3—122no—
242C2×C4×D3C4×D314yes—
243C2×C4×D3C4×D314yes—
244C2×C4×D3C2×Dic314yes—
245C3×C4⋊C4—34no—
246C3×C4⋊C4—34no—
247C3×C4⋊C4—34no—
248C3×C4⋊C4—34no—
249C3×C22⋊C4—34no—
250C3×C22⋊C4—34no—
251C3×C42—24no—
252C3×C42—34no—
253C3×C42—122no—
254C3×C42C4×D314yescomplemented
255C3×C42C2×Dic314yescomplemented
256#217—38no—
257(C2×D3)⋊C4—38no—
258(C2×D3)⋊C4C2×Dic314yes—
259(C2×D3)⋊C4C2×Dic314yes—
260C4⋊Dic3—34no—
261C4⋊Dic3—34no—
262C4⋊Dic3—34no—
263C4⋊Dic3—34no—
264C4⋊Dic3—38no—
265C4⋊Dic3—64no—
266C4⋊Dic3—64no—
267C4⋊Dic3C4×D314yes—
268C4⋊Dic3C4×D314yescomplemented
269Dic3⋊C4—38no—
270Dic3⋊C4C2×Dic314yescomplemented
271Dic3⋊C4C2×Dic314yescomplemented
272C4×Dic3—38no—
273C4×Dic3—38no—
274C4×Dic3—42no—
275C4×Dic3—122no—
276C4×Dic3—122no—
277C4×Dic3—122no—
278C4×Dic3—122no—
279C4×Dic3—122no—
280C4×Dic3—122no—
281C4×Dic3—124no—
282C4×Dic3C2×Dic314yescomplemented
283C22×C32C23×C411yescharacteristic
284C22×C32C23×C411yescharacteristic
285C22×C32C23×C411yescharacteristic
286C22×C32H(5,𝔽2)11yescharacteristic
287C22×C32H(5,𝔽2)11yescharacteristic
288C22×C322−1+411yescharacteristic
289C22×C322−1+411yescharacteristic
290C2×C3×D3—22no—
291C2×C3×D3—22no—
292C2×C3×D3—22no—
293C2×C3×D3—22no—
294C2×C3×D3—22no—
295C2×C3×D3—22no—
296C2×C3×D3C2×C4214yes—
297C32×C4—22no—
298C32×C4—22no—
299C32×C4C2×C4214yes—
300C3⋊Dic3—24no—
301C3⋊Dic3—24no—
302C3×Dic3—24no—
303C3×Dic3—24no—
304C3×Dic3—22no—
305C3×Dic3—22no—
306C3×Dic3C2×C4214yes—
307C23×C4—31no—
308C23×C4—92no—
309#117—38no—
310#117—98no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—31no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—31no—
315C2×C4⋊C4—98no—
316C2×C4⋊C4—92no—
317C2×C4⋊C4—91no—
318C2×C4⋊C4—91no—
319C2×C22⋊C4—31no—
320C2×C22⋊C4—31no—
321C2×C22⋊C4—92no—
322C2×C42—31no—
323C2×C42—32no—
324C2×C42—92no—
325C2×C42—92no—
326C2×C42—92no—
327C2×C42—92no—
328C2×C42D3211yescharacteristic
329#95—32no—
330#95—92no—
331#95—92no—
332#95—92no—
333C23×C3—21no—
334C23×C3—32no—
335C23×C3—32no—
336C23×C3—32no—
337C23×C3—61no—
338C23×C3—61no—
339C23×C3—61no—
340C23×C3—61no—
341C23×C3C23×D311yescharacteristic
342C23×C3C23×D311yescharacteristic
343C22×D3—21no—
344C22×D3—21no—
345C22×D3—21no—
346C22×D3—21no—
347C22×D3C2×C4×D312yes—
348C22×D3C2×C4×D312yes—
349C22×D3C22×Dic312yes—
350C2×C3×C4—22no—
351C2×C3×C4—22no—
352C2×C3×C4—21no—
353C2×C3×C4—21no—
354C2×C3×C4—21no—
355C2×C3×C4—21no—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—32no—
366C2×C3×C4—32no—
367C2×C3×C4—32no—
368C2×C3×C4—316no—
369C2×C3×C4—34no—
370C2×C3×C4—34no—
371C2×C3×C4—32no—
372C2×C3×C4—32no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—61no—
378C2×C3×C4—62no—
379C2×C3×C4—62no—
380C2×C3×C4—62no—
381C2×C3×C4—62no—
382C2×C3×C4—61no—
383C2×C3×C4C2×C4×D312yes—
384C2×C3×C4C2×C4×D312yes—
385C2×C3×C4C2×C4×D312yes—
386C2×C3×C4C2×C4×D312yes—
387C2×C3×C4C2×C4×D312yes—
388C2×C3×C4C2×C4×D312yes—
389C2×C3×C4C2×C4×D312yes—
390C2×C3×C4C22×Dic312yes—
391C2×C3×C4C22×Dic312yes—
392C2×C3×C4C22×Dic312yes—
393C2×Dic3—22no—
394C2×Dic3—22no—
395C2×Dic3—21no—
396C2×Dic3—21no—
397C2×Dic3—22no—
398C2×Dic3—21no—
399C2×Dic3—22no—
400C2×Dic3—21no—
401C2×Dic3—34no—
402C2×Dic3—34no—
403C2×Dic3—34no—
404C2×Dic3—34no—
405C2×Dic3—64no—
406C2×Dic3—64no—
407C2×Dic3—62no—
408C2×Dic3—62no—
409C2×Dic3—62no—
410C2×Dic3—62no—
411C2×Dic3—62no—
412C2×Dic3—62no—
413C2×Dic3—62no—
414C2×Dic3—62no—
415C2×Dic3—122no—
416C2×Dic3—122no—
417C2×Dic3—122no—
418C2×Dic3—122no—
419C2×Dic3—128no—
420C2×Dic3C2×C4×D314yes—
421C2×Dic3C2×C4×D314yes—
422C2×Dic3C2×C4×D312yes—
423C2×Dic3C2×C4×D312yes—
424C2×Dic3C22×Dic312yes—
425C2×Dic3C22×Dic312yes—
426C2×Dic3C22×Dic312yes—
427C4×D3—128no—
428C4×D3C4×Dic3116yescomplemented
429C2×C32C22×C4211yescharacteristic
430C2×C32#51811yescharacteristic
431C2×C32#51911yescharacteristic
432C2×C32#52011yescharacteristic
433C2×C32#52011yescharacteristic
434C2×C32#52011yescharacteristic
435C2×C32#52011yescharacteristic
436C3×D3—24no—
437C24—31no—
438C22×C4—31no—
439C22×C4—34no—
440C22×C4—34no—
441C22×C4—34no—
442C22×C4—32no—
443C22×C4—32no—
444C22×C4—31no—
445C22×C4—31no—
446C22×C4—98no—
447C22×C4—92no—
448C22×C4—92no—
449C22×C4—362no—
450C22×C4—362no—
451C22×C4C2×D3211yescharacteristic
452C22×C4C2×D3211yescharacteristic
453C22×C4C2×D3211yescharacteristic
454C4⋊C4—34no—
455C4⋊C4—34no—
456C4⋊C4—34no—
457C4⋊C4—34no—
458C4⋊C4—98no—
459C4⋊C4—94no—
460C4⋊C4—94no—
461C22⋊C4—34no—
462C22⋊C4—34no—
463C22⋊C4—98no—
464C42—34no—
465C42—98no—
466C42—122no—
467C42—362no—
468C42—362no—
469C42—362no—
470C42D3×Dic314yescomplemented
471C22×C3—21no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—21no—
477C22×C3—21no—
478C22×C3—34no—
479C22×C3—62no—
480C22×C3—62no—
481C22×C3—62no—
482C22×C3—62no—
483C22×C3—62no—
484C22×C3—62no—
485C22×C3C22×C4×D311yescharacteristic
486C22×C3C22×C4×D311yescharacteristic
487C22×C3C22×C4×D311yescharacteristic
488C22×C3C22×C4×D311yescharacteristic
489C22×C3C22×C4×D311yescharacteristic
490C22×C3#100411yescharacteristic
491C22×C3#100711yescharacteristic
492C22×C3#100911yescharacteristic
493C22×C3#100911yescharacteristic
494C22×C3#100911yescharacteristic
495C22×C3#101011yescharacteristic
496C22×C3#101011yescharacteristic
497C22×C3#101011yescharacteristic
498C22×C3C23×Dic311yescharacteristic
499C2×D3—22no—
500C2×D3—22no—
501C2×D3—22no—
502C2×D3—22no—
503C2×D3—22no—
504C2×D3—22no—
505C2×D3C2×C4×Dic314yes—
506C3×C4—24no—
507C3×C4—22no—
508C3×C4—22no—
509C3×C4—22no—
510C3×C4—22no—
511C3×C4—24no—
512C3×C4—34no—
513C3×C4—42no—
514C3×C4—62no—
515C3×C4—64no—
516C3×C4—64no—
517C3×C4—62no—
518C3×C4C42×D314yes—
519C3×C4C2×C4×Dic314yes—
520Dic3—24no—
521Dic3—24no—
522Dic3—22no—
523Dic3—22no—
524Dic3—64no—
525Dic3—64no—
526Dic3—64no—
527Dic3—64no—
528Dic3—124no—
529Dic3—124no—
530Dic3C2×C4×Dic314yes—
531C32#227411yescharacteristic, complemented, Sylow
532C23—32no—
533C23—32no—
534C23—32no—
535C23—61no—
536C23—61no—
537C23—61no—
538C23—61no—
539C23C22×D3211yescharacteristic
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—32no—
545C2×C4—32no—
546C2×C4—32no—
547C2×C4—316no—
548C2×C4—34no—
549C2×C4—34no—
550C2×C4—32no—
551C2×C4—32no—
552C2×C4—61no—
553C2×C4—62no—
554C2×C4—61no—
555C2×C4—62no—
556C2×C4—62no—
557C2×C4—61no—
558C2×C4—61no—
559C2×C4—62no—
560C2×C4—94no—
561C2×C4—94no—
562C2×C4—182no—
563C2×C4—182no—
564C2×C4—182no—
565C2×C4—182no—
566C2×C4—368no—
567C2×C4C4×D3212yes—
568C2×C4C4×D3212yes—
569C2×C4C2×D3×Dic312yes—
570C2×C4C2×D3×Dic312yes—
571C2×C4C2×D3×Dic312yes—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—64no—
580C2×C3C2×C42×D311yescharacteristic
581C2×C3#550411yescharacteristic
582C2×C3#551611yescharacteristic
583C2×C3#552111yescharacteristic
584C2×C3#552311yescharacteristic
585C2×C3#552311yescharacteristic
586C2×C3#552311yescharacteristic
587C2×C3#554511yescharacteristic
588C2×C3#554611yescharacteristic
589C2×C3#557211yescharacteristic
590C2×C3#557411yescharacteristic
591C2×C3C22×C4×Dic311yescharacteristic
592C2×C3#582711yescharacteristic
593C2×C3#582711yescharacteristic
594D3—24no—
595C22—34no—
596C22—62no—
597C22—62no—
598C22—62no—
599C22—62no—
600C22—62no—
601C22—62no—
602C22#6429711yescharacteristic
603C22#6429811yescharacteristic
604C22C2×C4×D3211yescharacteristic
605C22C2×C4×D3211yescharacteristic
606C22#6430711yescharacteristic
607C22#6430811yescharacteristic
608C22C22×D3×Dic311yescharacteristic
609C4—22no—
610C4—22no—
611C4—34no—
612C4—64no—
613C4—62no—
614C4—62no—
615C4—64no—
616C4—184no—
617C4—184no—
618C4C4×D3×Dic314yes—
619C3—21no—
620C3#7375011yescharacteristic, complemented
621C3#8222311yescharacteristic, complemented
622C2—64no—
623C2#1059388511yescharacteristic
624C2#1059388711yescharacteristic
625C2#1059389011yescharacteristic
626C2#1059399411yescharacteristic
627C2C2×C4×D3×Dic311yescharacteristic
628C2#1059498611yescharacteristic
629C2#1059499211yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC2×C32C22×C42
FittingC2×C32×C42C22
socle, cosocleC23×C32C24
prime radicalC23×C3×D3C23
hypercenterC2×C42D32
hypocenterC32#2274
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
4. C4×C4⋊(C3⋊Dic3)C2semidirect
5. C3×C4×C4⋊Dic3C2semidirect
8. Dic3×C4⋊Dic3C2semidirect
9. Dic3×C4⋊Dic3C2semidirect
10. #10591241C2semidirect
11. Dic3×Dic3⋊C4C2semidirect
28. C3×#872C4semidirect
34. D3×C4⋊Dic3C4semidirect
35. #63841C4semidirect
59. C4×C4⋊Dic3D3semidirect
80. C32×C42C2×C4semidirect
82. C4⋊(C3⋊Dic3)C2×C4semidirect
87. C3×C4⋊Dic3C2×C4semidirect
88. C3×Dic3⋊C4C2×C4semidirect
89. C3×Dic3⋊C4C2×C4semidirect
91. C3×C4×Dic3C2×C4semidirect
96. Dic32C2×C4semidirect
145. #872Dic3semidirect
193. C3×C4×D3C42semidirect
254. C3×C42C4×D3semidirect
255. C3×C42C2×Dic3semidirect
268. C4⋊Dic3C4×D3semidirect
270. Dic3⋊C4C2×Dic3semidirect
271. Dic3⋊C4C2×Dic3semidirect
282. C4×Dic3C2×Dic3semidirect
428. C4×D3C4×Dic3semidirect
470. C42D3×Dic3semidirect
531. C32#2274semidirect
620. C3#73750semidirect
621. C3#82223semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8722
C2×D3×C4⋊Dic32
C2×#638412
C4×C4⋊(C3⋊Dic3)2
C3×C4×C4⋊Dic32
#105913682
Dic3×(C2×D3)⋊C42
Dic3×C4⋊Dic32
#105912412
Dic3×Dic3⋊C42
#822233
#737503