Finite Group Databasebeta

← #11800930

Subgroups — #11800930

Order 1152.

1657 conjugacy classes of subgroups.

The subgroup lattice has 643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#893C211yesmaximal, characteristic
2C2×#63898C211yesmaximal, characteristic
3C2×Dic3×D12C211yesmaximal, characteristic
4C4⋊C4×C3⋊Dic3C211yesmaximal, characteristic, complemented
5C3×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
6#10591368C212yesmaximal, complemented
7Dic3×(C2×D3)⋊C4C212yesmaximal, complemented
8D3×C3⋊#95C212yesmaximal, complemented
9C4×(C2×D3)⋊Dic3C212yesmaximal, complemented
10Dic3×C4⋊Dic3C211yesmaximal, characteristic, complemented
11#10591222C211yesmaximal, characteristic, complemented
12#82317—31nomaximal
13#73751—31nomaximal
14C22×C3×D12C2211yescharacteristic
15C22×C3×C4×D3C2212yes—
16C22×D3×Dic3C2212yes—
17C22×D3×Dic3C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C2×C4×C3⋊Dic3C2212yes—
21C2×C4×C3⋊Dic3C2211yescharacteristic
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×C4×Dic3C2212yes—
25C2×C3×C4×Dic3C2211yescharacteristic
26C2×C3×C4×Dic3C2211yescharacteristic
27C3×#893C418yescomplemented
28C2×(C2×D3)⋊Dic3C2212yes—
29C2×(C2×D3)⋊Dic3C2212yes—
30C2×Dic32C2212yes—
31#63898C418yescomplemented
32Dic3×D12C418yescomplemented
33#63658C2212yes—
34C3×C3⋊#95C2212yes—
35#63579C2212yes—
36#63579C2211yescharacteristic
37#63579C2211yescharacteristic
38#63579C2211yescharacteristic
39#63579C2211yescharacteristic
40C2×C3×C4×D4—31no—
41C2×D4×Dic3—31no—
42C2×D4×Dic3—31no—
43C2×#893—31no—
44C2×#893D311yescharacteristic
45C2×C4×D12—31no—
46C3×C4×C4⋊C4—31no—
47C4×#217—32no—
48C2×C3⋊#95—32no—
49Dic3×C4⋊C4—31no—
50Dic3×C4⋊C4—31no—
51Dic3×C4⋊C4—31no—
52Dic3×C4⋊C4—61no—
53Dic3×C4⋊C4D311yescharacteristic, complemented
54Dic3×C22⋊C4—32no—
55Dic3×C22⋊C4—32no—
56C4×(C2×D3)⋊C4—32no—
57C4×(C2×D3)⋊C4—32no—
58C4×C4⋊Dic3—31no—
59#4932—31no—
60#4932—31no—
61#4666—32no—
62D3×#95—32no—
63C23×C3×D3C2312yes—
64C22×C32×C4C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C3⋊Dic3C2311yescharacteristic
67C22×C3⋊Dic3C2312yes—
68C22×C3⋊Dic3C2311yescharacteristic
69C22×C3×Dic3C2311yescharacteristic
70C22×C3×Dic3C2312yes—
71C22×C3×Dic3C2311yescharacteristic
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2311yescharacteristic
74C2×C3×D12C2×C414yes—
75C2×C3×D12C2×C414yes—
76C2×C3×D12C2×C414yes—
77C2×C3×C4×D3—42no—
78C2×C3×C4×D3—42no—
79C2×C3×C4×D3C2×C418yescomplemented
80C2×D3×Dic3—42no—
81C2×D3×Dic3—42no—
82C2×D3×Dic3—42no—
83C2×D3×Dic3—42no—
84C2×D3×Dic3C2×C418yescomplemented
85C2×D3×Dic3C2×C418yescomplemented
86C32×C4⋊C4C2×C414yescomplemented
87C4⋊(C3⋊Dic3)C2×C414yescomplemented
88C4×C3⋊Dic3—42no—
89C4×C3⋊Dic3C2×C414yescomplemented
90C3×(C2×D3)⋊C4C2×C418yescomplemented
91C3×C4⋊Dic3C2×C414yescomplemented
92C3×C4×Dic3—42no—
93C3×C4×Dic3C2×C414yescomplemented
94C3×C4×Dic3C2×C414yescomplemented
95(C2×D3)⋊Dic3C2×C418yescomplemented
96(C2×D3)⋊Dic3C2×C418yescomplemented
97Dic32—42no—
98#2275—91noSylow
99C22×C3×D4—31no—
100C23×C3×C4—32no—
101C23×Dic3—32no—
102C23×Dic3—32no—
103C22×D12C2×D311yescharacteristic
104C22×C4×D3—32no—
105C22×C4×D3—32no—
106C22×C4×D3C2×D312yes—
107C3×C4×D4—38no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—31no—
110C2×C3×C4⋊C4C2×D311yescharacteristic
111C2×C3×C4⋊C4C2×D311yescharacteristic
112C2×C3×C22⋊C4—32no—
113C2×C3×C42—31no—
114C2×C3×C42—31no—
115C2×C3×C42—32no—
116C2×#217—32no—
117C2×#217—32no—
118D4×Dic3—38no—
119D4×Dic3—38no—
120C2×(C2×D3)⋊C4—32no—
121C2×(C2×D3)⋊C4—32no—
122C2×(C2×D3)⋊C4C2×D312yes—
123C2×C4⋊Dic3—31no—
124C2×C4⋊Dic3—31no—
125C2×C4⋊Dic3—61no—
126C2×C4⋊Dic3C2×D311yescharacteristic
127C2×C4×Dic3—31no—
128C2×C4×Dic3—31no—
129C2×C4×Dic3—32no—
130C2×C4×Dic3—32no—
131C2×C4×Dic3—32no—
132C2×C4×Dic3—32no—
133C2×C4×Dic3—61no—
134C2×C4×Dic3—62no—
135C2×C4×Dic3C2×D312yes—
136C2×C4×Dic3C2×D311yescharacteristic
137C2×C4×Dic3C2×D311yescharacteristic
138#893—38no—
139#893Dic318yescomplemented
140C4×D12—38no—
141C3×#95—32no—
142C3⋊#95—32no—
143C3⋊#95—32no—
144C3⋊#95—31no—
145C3⋊#95—32no—
146C3⋊#95—31no—
147C3⋊#95—31no—
148C3⋊#95—31no—
149C3⋊#95—31no—
150C3⋊#95—31no—
151C3⋊#95—31no—
152C3⋊#95—31no—
153C3⋊#95—32no—
154C3⋊#95—62no—
155C3⋊#95C2×D312yes—
156C23×C32C2411yescharacteristic
157C22×C3×D3—22no—
158C22×C3×D3—22no—
159C22×C3×D3—22no—
160C22×C3×D3—22no—
161C22×C3×D3C22×C414yes—
162C22×C3×D3C22×C414yes—
163C22×C3×D3C22×C414yes—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4C22×C412yes—
167C2×C32×C4C22×C412yes—
168C2×C32×C4C22×C414yes—
169C2×C32×C4C22×C412yes—
170C2×C3⋊Dic3—21no—
171C2×C3⋊Dic3—21no—
172C2×C3⋊Dic3—22no—
173C2×C3⋊Dic3—22no—
174C2×C3⋊Dic3—21no—
175C2×C3⋊Dic3—21no—
176C2×C3⋊Dic3C22×C412yes—
177C2×C3⋊Dic3C22×C414yes—
178C2×C3⋊Dic3C22×C412yes—
179C2×C3×Dic3—21no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3C22×C412yes—
190C2×C3×Dic3C22×C414yes—
191C2×C3×Dic3C22×C412yes—
192C2×C3×Dic3C22×C412yes—
193C2×C3×Dic3C22×C412yes—
194C3×D12C42116yescomplemented
195C3×C4×D3—48no—
196D3×Dic3—48no—
197D3×Dic3—48no—
198C2×C4×D4—31no—
199C2×C4×D4—91no—
200C2×C4×D4—91no—
201C4×C4⋊C4—31no—
202C4×C4⋊C4—91no—
203C4×C4⋊C4—91no—
204C4×C22⋊C4—92no—
205C4×C22⋊C4—92no—
206C4×C22⋊C4—92no—
207#376—91no—
208C2×#95—92no—
209C24×C3—32no—
210C23×D3C22×D312yes—
211C2×C3×D4—34no—
212C2×C3×D4—34no—
213C2×C3×D4—34no—
214C22×C3×C4—21no—
215C22×C3×C4—22no—
216C22×C3×C4—31no—
217C22×C3×C4—31no—
218C22×C3×C4—31no—
219C22×C3×C4—31no—
220C22×C3×C4—32no—
221C22×C3×C4—38no—
222C22×C3×C4—122no—
223C22×C3×C4—122no—
224C22×C3×C4C22×D312yes—
225C22×C3×C4C22×D312yes—
226C22×C3×C4C22×D311yescharacteristic
227C22×C3×C4C22×D311yescharacteristic
228C22×Dic3—31no—
229C22×Dic3—31no—
230C22×Dic3—31no—
231C22×Dic3—31no—
232C22×Dic3—32no—
233C22×Dic3—32no—
234C22×Dic3—38no—
235C22×Dic3—38no—
236C22×Dic3—61no—
237C22×Dic3—61no—
238C22×Dic3—62no—
239C22×Dic3—122no—
240C22×Dic3—122no—
241C22×Dic3—122no—
242C22×Dic3—122no—
243C22×Dic3C22×D311yescharacteristic
244C22×Dic3C22×D311yescharacteristic
245C22×Dic3C22×D312yes—
246C22×Dic3C22×D311yescharacteristic
247C22×Dic3C22×D311yescharacteristic
248C2×D12C4×D314yes—
249C2×D12C4×D314yes—
250C2×D12C2×Dic314yes—
251C2×C4×D3—38no—
252C2×C4×D3—38no—
253C2×C4×D3—42no—
254C2×C4×D3—42no—
255C2×C4×D3—122no—
256C2×C4×D3—122no—
257C2×C4×D3—122no—
258C2×C4×D3—122no—
259C2×C4×D3C2×Dic318yescomplemented
260C3×C4⋊C4—24no—
261C3×C4⋊C4—34no—
262C3×C4⋊C4C4×D314yescomplemented
263C3×C4⋊C4C2×Dic314yescomplemented
264C3×C22⋊C4—38no—
265C3×C42—34no—
266C3×C42—34no—
267C3×C42—122no—
268#217—38no—
269#217—38no—
270(C2×D3)⋊C4—38no—
271(C2×D3)⋊C4—38no—
272(C2×D3)⋊C4C2×Dic318yescomplemented
273C4⋊Dic3—34no—
274C4⋊Dic3—34no—
275C4⋊Dic3—64no—
276C4⋊Dic3C4×D314yescomplemented
277C4×Dic3—34no—
278C4×Dic3—34no—
279C4×Dic3—42no—
280C4×Dic3—64no—
281C4×Dic3—122no—
282C4×Dic3—122no—
283C4×Dic3—122no—
284C4×Dic3—122no—
285C4×Dic3—124no—
286C4×Dic3C4×D314yescomplemented
287C4×Dic3C2×Dic314yescomplemented
288C22×C32C23×C411yescharacteristic
289C22×C32C23×C411yescharacteristic
290C22×C32C23×C411yescharacteristic
291C22×C32H(5,𝔽2)11yescharacteristic
292C22×C32H(5,𝔽2)11yescharacteristic
293C22×C32H(5,𝔽2)11yescharacteristic
294C22×C322−1+411yescharacteristic
295C2×C3×D3—24no—
296C2×C3×D3—24no—
297C2×C3×D3—24no—
298C2×C3×D3—24no—
299C2×C3×D3—24no—
300C2×C3×D3—24no—
301C2×C3×D3C2×C4218yes—
302C32×C4—24no—
303C32×C4C2×C4214yes—
304C3⋊Dic3—22no—
305C3⋊Dic3—22no—
306C3⋊Dic3—24no—
307C3×Dic3—22no—
308C3×Dic3—24no—
309C3×Dic3—22no—
310C3×Dic3—22no—
311C3×Dic3—22no—
312C22×D4—31no—
313C23×C4—32no—
314C23×C4—92no—
315C23×C4—92no—
316C4×D4—38no—
317C4×D4—98no—
318C4×D4—98no—
319C2×C4⋊C4—31no—
320C2×C4⋊C4—91no—
321C2×C4⋊C4D3211yescharacteristic
322C2×C22⋊C4—32no—
323C2×C22⋊C4—92no—
324C2×C22⋊C4—92no—
325C2×C42—31no—
326C2×C42—31no—
327C2×C42—32no—
328C2×C42—91no—
329C2×C42—92no—
330C2×C42—92no—
331#95—32no—
332#95—91no—
333#95—92no—
334#95—91no—
335#95—91no—
336#95—91no—
337#95—92no—
338C23×C3—21no—
339C23×C3—34no—
340C23×C3—34no—
341C23×C3—34no—
342C23×C3—62no—
343C23×C3—62no—
344C23×C3—62no—
345C23×C3—62no—
346C23×C3C23×D311yescharacteristic
347C23×C3C23×D311yescharacteristic
348C22×D3—22no—
349C22×D3—22no—
350C22×D3—22no—
351C22×D3—22no—
352C22×D3C2×C4×D314yes—
353C22×D3C2×C4×D314yes—
354C22×D3C22×Dic314yes—
355C3×D4—316no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—22no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—24no—
364C2×C3×C4—32no—
365C2×C3×C4—34no—
366C2×C3×C4—32no—
367C2×C3×C4—32no—
368C2×C3×C4—32no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—61no—
372C2×C3×C4—62no—
373C2×C3×C4—61no—
374C2×C3×C4—61no—
375C2×C3×C4—61no—
376C2×C3×C4—61no—
377C2×C3×C4—62no—
378C2×C3×C4—61no—
379C2×C3×C4—61no—
380C2×C3×C4—61no—
381C2×C3×C4—128no—
382C2×C3×C4C2×C4×D312yes—
383C2×C3×C4C2×C4×D312yes—
384C2×C3×C4C2×C4×D312yes—
385C2×C3×C4C2×C4×D312yes—
386C2×C3×C4C2×C4×D314yes—
387C2×C3×C4C2×C4×D312yes—
388C2×C3×C4C22×Dic314yes—
389C2×C3×C4C22×Dic312yes—
390C2×Dic3—21no—
391C2×Dic3—22no—
392C2×Dic3—21no—
393C2×Dic3—21no—
394C2×Dic3—21no—
395C2×Dic3—21no—
396C2×Dic3—22no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—32no—
401C2×Dic3—32no—
402C2×Dic3—32no—
403C2×Dic3—32no—
404C2×Dic3—34no—
405C2×Dic3—34no—
406C2×Dic3—62no—
407C2×Dic3—62no—
408C2×Dic3—64no—
409C2×Dic3—62no—
410C2×Dic3—62no—
411C2×Dic3—61no—
412C2×Dic3—62no—
413C2×Dic3—61no—
414C2×Dic3—61no—
415C2×Dic3—61no—
416C2×Dic3—61no—
417C2×Dic3—62no—
418C2×Dic3—62no—
419C2×Dic3—62no—
420C2×Dic3—61no—
421C2×Dic3—61no—
422C2×Dic3—61no—
423C2×Dic3—122no—
424C2×Dic3—121no—
425C2×Dic3—122no—
426C2×Dic3—121no—
427C2×Dic3—128no—
428C2×Dic3—128no—
429C2×Dic3C2×C4×D312yes—
430C2×Dic3C2×C4×D312yes—
431C2×Dic3C2×C4×D314yes—
432C2×Dic3C22×Dic312yes—
433C2×Dic3C22×Dic312yes—
434D12C4×Dic3116yescomplemented
435C4×D3—48no—
436C4×D3—128no—
437C4×D3—128no—
438C2×C32C22×C4211yescharacteristic
439C2×C32#51811yescharacteristic
440C2×C32#51811yescharacteristic
441C2×C32#51811yescharacteristic
442C2×C32#52011yescharacteristic
443C2×C32#52011yescharacteristic
444C2×C32#52011yescharacteristic
445C3×D3—28no—
446C24—32no—
447C2×D4—34no—
448C2×D4—34no—
449C2×D4—34no—
450C22×C4—31no—
451C22×C4—32no—
452C22×C4—31no—
453C22×C4—31no—
454C22×C4—31no—
455C22×C4—38no—
456C22×C4—98no—
457C22×C4—98no—
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—92no—
461C22×C4—122no—
462C22×C4—122no—
463C22×C4—362no—
464C22×C4—362no—
465C22×C4—362no—
466C22×C4—362no—
467C22×C4C2×D3212yes—
468C22×C4C2×D3211yescharacteristic
469C4⋊C4—34no—
470C4⋊C4—94no—
471C4⋊C4D3×Dic314yescomplemented
472C22⋊C4—38no—
473C22⋊C4—98no—
474C22⋊C4—98no—
475C42—34no—
476C42—34no—
477C42—94no—
478C42—122no—
479C42—362no—
480C42—362no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—38no—
489C22×C3—64no—
490C22×C3—64no—
491C22×C3—64no—
492C22×C3—64no—
493C22×C3—64no—
494C22×C3—64no—
495C22×C3C22×C4×D311yescharacteristic
496C22×C3C22×C4×D311yescharacteristic
497C22×C3C22×C4×D311yescharacteristic
498C22×C3C22×C4×D311yescharacteristic
499C22×C3C22×C4×D311yescharacteristic
500C22×C3#100411yescharacteristic
501C22×C3#100411yescharacteristic
502C22×C3#100411yescharacteristic
503C22×C3#100711yescharacteristic
504C22×C3#100911yescharacteristic
505C22×C3#100911yescharacteristic
506C22×C3#100911yescharacteristic
507C22×C3#101011yescharacteristic
508C22×C3C23×Dic311yescharacteristic
509C2×D3—24no—
510C2×D3—24no—
511C2×D3—24no—
512C2×D3—24no—
513C2×D3—24no—
514C2×D3—24no—
515C2×D3C2×C4×Dic318yes—
516C3×C4—24no—
517C3×C4—24no—
518C3×C4—24no—
519C3×C4—44no—
520C3×C4—62no—
521C3×C4—64no—
522C3×C4—62no—
523C3×C4—62no—
524C3×C4—62no—
525C3×C4C42×D314yes—
526C3×C4C2×C4×Dic314yes—
527Dic3—22no—
528Dic3—22no—
529Dic3—22no—
530Dic3—24no—
531Dic3—22no—
532Dic3—64no—
533Dic3—64no—
534Dic3—62no—
535Dic3—64no—
536Dic3—62no—
537Dic3—62no—
538Dic3—62no—
539Dic3—124no—
540Dic3—122no—
541C32#227511yescharacteristic, complemented, Sylow
542C23—34no—
543C23—34no—
544C23—34no—
545C23—62no—
546C23—62no—
547C23—62no—
548C23—62no—
549C23C22×D3211yescharacteristic
550D4—316no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—32no—
554C2×C4—32no—
555C2×C4—34no—
556C2×C4—32no—
557C2×C4—32no—
558C2×C4—61no—
559C2×C4—62no—
560C2×C4—61no—
561C2×C4—61no—
562C2×C4—61no—
563C2×C4—61no—
564C2×C4—61no—
565C2×C4—61no—
566C2×C4—62no—
567C2×C4—61no—
568C2×C4—92no—
569C2×C4—92no—
570C2×C4—94no—
571C2×C4—128no—
572C2×C4—181no—
573C2×C4—181no—
574C2×C4—182no—
575C2×C4—181no—
576C2×C4—182no—
577C2×C4—181no—
578C2×C4—368no—
579C2×C4—368no—
580C2×C4C4×D3212yes—
581C2×C4C4×D3212yes—
582C2×C4C2×D3×Dic314yes—
583C2×C4C2×D3×Dic312yes—
584C2×C3—21no—
585C2×C3—21no—
586C2×C3—21no—
587C2×C3—21no—
588C2×C3—21no—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—68no—
592C2×C3C2×C42×D311yescharacteristic
593C2×C3#550411yescharacteristic
594C2×C3#552111yescharacteristic
595C2×C3#554511yescharacteristic
596C2×C3#554511yescharacteristic
597C2×C3#554511yescharacteristic
598C2×C3#554511yescharacteristic
599C2×C3#554611yescharacteristic
600C2×C3#554611yescharacteristic
601C2×C3#557411yescharacteristic
602C2×C3#557411yescharacteristic
603C2×C3C22×C4×Dic311yescharacteristic
604C2×C3#579811yescharacteristic
605C2×C3#582711yescharacteristic
606D3—28no—
607C22—38no—
608C22—64no—
609C22—64no—
610C22—64no—
611C22—64no—
612C22—64no—
613C22—64no—
614C22C2×C4×D3211yescharacteristic
615C22C2×C4×D3211yescharacteristic
616C22#6431311yescharacteristic
617C22#6431411yescharacteristic
618C22#6431511yescharacteristic
619C22#6432011yescharacteristic
620C22C22×D3×Dic311yescharacteristic
621C4—24no—
622C4—62no—
623C4—64no—
624C4—62no—
625C4—62no—
626C4—62no—
627C4—184no—
628C4—182no—
629C4—182no—
630C4C4×D3×Dic314yes—
631C3—21no—
632C3#7375111yescharacteristic, complemented
633C3#8231711yescharacteristic, complemented
634C2—68no—
635C2#1059435911yescharacteristic
636C2#1059436111yescharacteristic
637C2#1059460411yescharacteristic
638C2#1059460611yescharacteristic
639C2C2×C4×D3×Dic311yescharacteristic
640C2#1059521511yescharacteristic
641C2#1059539411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC2×C32C22×C42
FittingC2×C32×C4⋊C4C22
socle, cosocleC23×C32C24
prime radicalC22×C3×D12C22
hypercenterC2×C4⋊C4D32
hypocenterC32#2275
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C4⋊C4×C3⋊Dic3C2semidirect
5. C3×Dic3×C4⋊C4C2semidirect
6. #10591368C2semidirect
7. Dic3×(C2×D3)⋊C4C2semidirect
8. D3×C3⋊#95C2semidirect
9. C4×(C2×D3)⋊Dic3C2semidirect
10. Dic3×C4⋊Dic3C2semidirect
11. #10591222C2semidirect
27. C3×#893C4semidirect
31. #63898C4semidirect
32. Dic3×D12C4semidirect
53. Dic3×C4⋊C4D3semidirect
79. C2×C3×C4×D3C2×C4semidirect
84. C2×D3×Dic3C2×C4semidirect
85. C2×D3×Dic3C2×C4semidirect
86. C32×C4⋊C4C2×C4semidirect
87. C4⋊(C3⋊Dic3)C2×C4semidirect
89. C4×C3⋊Dic3C2×C4semidirect
90. C3×(C2×D3)⋊C4C2×C4semidirect
91. C3×C4⋊Dic3C2×C4semidirect
93. C3×C4×Dic3C2×C4semidirect
94. C3×C4×Dic3C2×C4semidirect
95. (C2×D3)⋊Dic3C2×C4semidirect
96. (C2×D3)⋊Dic3C2×C4semidirect
139. #893Dic3semidirect
194. C3×D12C42semidirect
259. C2×C4×D3C2×Dic3semidirect
262. C3×C4⋊C4C4×D3semidirect
263. C3×C4⋊C4C2×Dic3semidirect
272. (C2×D3)⋊C4C2×Dic3semidirect
276. C4⋊Dic3C4×D3semidirect
286. C4×Dic3C4×D3semidirect
287. C4×Dic3C2×Dic3semidirect
434. D12C4×Dic3semidirect
471. C4⋊C4D3×Dic3semidirect
541. C32#2275semidirect
632. C3#73751semidirect
633. C3#82317semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8932
C2×#638982
C2×Dic3×D122
C4⋊C4×C3⋊Dic32
C3×Dic3×C4⋊C42
#105913682
Dic3×(C2×D3)⋊C42
D3×C3⋊#952
C4×(C2×D3)⋊Dic32
Dic3×C4⋊Dic32
#105912222
#823173
#737513