Finite Group Databasebeta

← #13178283

Subgroups — #13178283

Order 1728.

3074 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#1113C211yesmaximal, characteristic, complemented
2C2×#89049C211yesmaximal, characteristic, complemented
3C2×C4⋊#1113C212yesmaximal, complemented
4C3×#64091C212yesmaximal, complemented
5C3×C22⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
6#11723727C212yesmaximal, complemented
7#11723701C214yesmaximal, complemented
8#11723700C212yesmaximal, complemented
9#10594258—31nomaximal
10D3×#882—32nomaximal
11C23×C3×C3⋊D3C2211yescharacteristic
12C23×C3×C3⋊D3C2212yescomplemented
13C22×#1113—24no—
14C22×#1113—28no—
15C22×#1113C2212yes—
16C22×#1113C2212yescomplemented
17C22×#1113C2211yescharacteristic, complemented
18C2×C3×#638C2212yescomplemented
19C2×C3×C4⋊(C3⋊D3)C2214yescomplemented
20C2×C3×C4×C3⋊D3C2212yescomplemented
21#89049—24no—
22C2×#6295C2214yescomplemented
23C2×#6295C2212yescomplemented
24C2×#6294C2211yescharacteristic, complemented
25C4⋊#1113—28no—
26C33×C22⋊C4C2211yescharacteristic, complemented
27C3×#3757C2211yescharacteristic, complemented
28C3×#3752C2212yescomplemented
29C3×#3752C2214yescomplemented
30#88814C2214yescomplemented
31C23×D32—31no—
32C23×D32—32no—
33C2×#3811—31no—
34C2×D3×#67—32no—
35C2×#3802—32no—
36C2×D3×D12—34no—
37#64091D312yescomplemented
38C22⋊C4×C3⋊D3D311yescharacteristic, complemented
39C3×#882—32no—
40C3×#882—32no—
41C3×#882—62no—
42C3×D3×C22⋊C4—32no—
43C3×D3×C22⋊C4—61no—
44#63981—32no—
45#63977—32no—
46#63976—32no—
47#63923—34no—
48#63922—34no—
49#63922—34no—
50#63921—32no—
51D3×(C2×D3)⋊C4—34no—
52C23×C33C2311yescharacteristic
53C22×C3×C3⋊D3—24no—
54C22×C3×C3⋊D3—24no—
55C22×C3×C3⋊D3—28no—
56C22×C3×C3⋊D3D414yescomplemented
57C22×C3×C3⋊D3C2311yescharacteristic
58C22×C3×C3⋊D3C2314yes—
59C22×C3×C3⋊D3C2311yescharacteristic
60C22×C3×C3⋊D3C2312yescomplemented
61C2×#1113—232no—
62C2×#1113—24no—
63C2×#1113—24no—
64C2×#1113—24no—
65C2×#1113—28no—
66C2×#1113—24no—
67C2×#1113—22no—
68C2×#1113D418yescomplemented
69C2×C33×C4C2312yescomplemented
70C3×#638—24no—
71C2×C3×C3⋊Dic3C2312yescomplemented
72C2×C3×C3⋊Dic3C2312yescomplemented
73C3×C4⋊(C3⋊D3)—28no—
74C3×C4×C3⋊D3—24no—
75#6295—28no—
76#6295—24no—
77#6294—22no—
78D3×#120—92no—
79C2×#882—91no—
80C23×C3⋊D3C2×D311yescharacteristic
81C23×C3⋊D3C2×D312yescomplemented
82C23×C3×D3—32no—
83C23×C3×D3—32no—
84C23×C3×D3—32no—
85C23×C3×D3—61no—
86C23×C3×D3—62no—
87C22×D32—34no—
88C22×D32—32no—
89C22×D32—31no—
90C22×D32—32no—
91C22×D32—34no—
92C22×D32—32no—
93C22×D32—68no—
94C22×D32—616no—
95C22×D32—68no—
96C22×D32—64no—
97C2×#638C2×D312yescomplemented
98C2×C4⋊(C3⋊D3)C2×D314yescomplemented
99C2×C4×C3⋊D3C2×D312yescomplemented
100C2×C3×#67—32no—
101C2×C3×#67—32no—
102C2×C3×#67—62no—
103C2×C3×D12—34no—
104C2×C3×D12—34no—
105C2×C3×D12—64no—
106C2×C3×C4×D3—34no—
107C2×C3×C4×D3—62no—
108#3811—64no—
109D3×#67—68no—
110C2×#626—34no—
111C2×#626—32no—
112C2×#626—34no—
113C2×#626—32no—
114C2×#625—34no—
115C2×#625—32no—
116C2×#624—31no—
117C2×D3×Dic3—32no—
118#3802—68no—
119D3×D12—616no—
120C32×C22⋊C4—21no—
121C32×C22⋊C4—22no—
122C32×C22⋊C4—41no—
123C32×C22⋊C4C2×D312yescomplemented
124C32×C22⋊C4C2×D311yescharacteristic, complemented
125#3757C2×D311yescharacteristic, complemented
126#3752C2×D312yescomplemented
127#3752C2×D314yescomplemented
128C3×#217—32no—
129C3×#217—61no—
130C3×(C2×D3)⋊C4—34no—
131C3×(C2×D3)⋊C4—34no—
132C3×(C2×D3)⋊C4—34no—
133C3×(C2×D3)⋊C4—62no—
134C3×(C2×D3)⋊C4—64no—
135#3722—34no—
136(C2×D3)⋊Dic3—34no—
137(C2×D3)⋊Dic3—34no—
138C22×C33—22no—
139C22×C33C2×D412yescomplemented
140C22×C33C2411yescharacteristic
141C2×C3×C3⋊D3—216no—
142C2×C3×C3⋊D3—24no—
143C2×C3×C3⋊D3—24no—
144C2×C3×C3⋊D3—22no—
145C2×C3×C3⋊D3—28no—
146C2×C3×C3⋊D3—24no—
147C2×C3×C3⋊D3—22no—
148C2×C3×C3⋊D3C2×D412yes—
149C2×C3×C3⋊D3C2×D414yes—
150C2×C3×C3⋊D3C2×D412yescomplemented
151C2×C3×C3⋊D3C2×D418yescomplemented
152#1113—216no—
153#1113—216no—
154#1113—44no—
155C33×C4—22no—
156C3×C3⋊Dic3—22no—
157C3×C3⋊Dic3—22no—
158C24×D3—91no—
159C24×D3—92no—
160C22×#67—91no—
161C2×D3×D4—94no—
162C2×D3×D4—92no—
163C22×D12—92no—
164C3×#120—92no—
165C2×C3×C22⋊C4—91no—
166#953—92no—
167#937—94no—
168#937—92no—
169C2×(C2×D3)⋊C4—92no—
170#882—32no—
171#882—32no—
172#882—62no—
173#882—94no—
174#882—94no—
175#882—92no—
176D3×C22⋊C4—32no—
177D3×C22⋊C4—61no—
178D3×C22⋊C4—94no—
179C23×C32—21no—
180C23×C32—22no—
181C23×C32—41no—
182C23×C32C22×D311yescharacteristic
183C23×C32C22×D312yes—
184C22×C3⋊D3—24no—
185C22×C3⋊D3—24no—
186C22×C3⋊D3—28no—
187C22×C3⋊D3D1214yescomplemented
188C22×C3⋊D3C22×D311yescharacteristic
189C22×C3⋊D3C22×D314yes—
190C22×C3⋊D3C22×D311yescharacteristic
191C22×C3⋊D3C22×D312yescomplemented
192C22×C3×D3—32no—
193C22×C3×D3—38no—
194C22×C3×D3—34no—
195C22×C3×D3—34no—
196C22×C3×D3—32no—
197C22×C3×D3—32no—
198C22×C3×D3—32no—
199C22×C3×D3—61no—
200C22×C3×D3—61no—
201C22×C3×D3—64no—
202C22×C3×D3—64no—
203C22×C3×D3—62no—
204C22×C3×D3—68no—
205C22×C3×D3—68no—
206C22×C3×D3—68no—
207C22×C3×D3—64no—
208C22×C3×D3—64no—
209C22×C3×D3—124no—
210C22×C3×D3—128no—
211C22×C3×D3—124no—
212C2×D32—38no—
213C2×D32—316no—
214C2×D32—68no—
215C2×D32—68no—
216C2×D32—68no—
217C2×D32—68no—
218C2×D32—68no—
219C2×D32—664no—
220C2×D32—632no—
221C2×D32—64no—
222C2×D32—64no—
223C2×D32—64no—
224C2×D32—68no—
225C2×D32—68no—
226C2×D32—64no—
227C2×D32—62no—
228C2×D32—64no—
229C2×C32×C4—22no—
230C2×C32×C4—24no—
231C2×C32×C4—42no—
232C2×C32×C4C22×D314yescomplemented
233C2×C32×C4C22×D312yescomplemented
234#638—24no—
235C2×C3⋊Dic3C22×D312yescomplemented
236C2×C3⋊Dic3C22×D312yescomplemented
237C4⋊(C3⋊D3)—28no—
238C4×C3⋊D3—24no—
239C3×#67—64no—
240C3×#67—64no—
241C3×#67—124no—
242C2×C3×Dic3—32no—
243C2×C3×Dic3—34no—
244C2×C3×Dic3—32no—
245C2×C3×Dic3—62no—
246C2×C3×Dic3—62no—
247C3×D12—68no—
248C3×D12—68no—
249C3×D12—128no—
250C3×C4×D3—68no—
251C3×C4×D3—124no—
252#626—68no—
253#626—64no—
254#626—64no—
255#626—68no—
256#625—68no—
257#625—64no—
258#624—62no—
259D3×Dic3—64no—
260C2×#120—271noSylow
261C2×C33—22no—
262C2×C33C22×D411yescharacteristic
263C2×C33C22×D412yes—
264C3×C3⋊D3—28no—
265C3×C3⋊D3—22no—
266C3×C3⋊D3—42no—
267C3×C3⋊D3#12014yescomplemented
268C24×C3—91no—
269C24×C3—92no—
270C23×D3—32no—
271C23×D3—32no—
272C23×D3—32no—
273C23×D3—61no—
274C23×D3—62no—
275C23×D3—94no—
276C23×D3—92no—
277C23×D3—92no—
278C23×D3—94no—
279C23×D3—91no—
280C23×D3—92no—
281C23×D3—188no—
282C23×D3—188no—
283C23×D3—1816no—
284C23×D3—184no—
285C2×C3×D4—92no—
286C2×C3×D4—94no—
287C22×C3×C4—92no—
288C2×#67—32no—
289C2×#67—32no—
290C2×#67—62no—
291C2×#67—92no—
292C2×#67—94no—
293C2×#67—92no—
294C2×#67—94no—
295C2×#67—184no—
296C22×Dic3—91no—
297D3×D4—1816no—
298D3×D4—188no—
299C2×D12—34no—
300C2×D12—34no—
301C2×D12—64no—
302C2×D12—94no—
303C2×D12—92no—
304C2×D12—188no—
305C2×C4×D3—34no—
306C2×C4×D3—62no—
307C2×C4×D3—92no—
308C3×C22⋊C4—21no—
309C3×C22⋊C4—22no—
310C3×C22⋊C4—41no—
311C3×C22⋊C4—91no—
312C3×C22⋊C4—94no—
313C3×C22⋊C4—92no—
314C3×C22⋊C4D3212yescomplemented
315C3×C22⋊C4D3211yescharacteristic, complemented
316#217—32no—
317#217—61no—
318#217—94no—
319(C2×D3)⋊C4—34no—
320(C2×D3)⋊C4—34no—
321(C2×D3)⋊C4—34no—
322(C2×D3)⋊C4—62no—
323(C2×D3)⋊C4—64no—
324(C2×D3)⋊C4—94no—
325(C2×D3)⋊C4—94no—
326C22×C32—22no—
327C22×C32—24no—
328C22×C32—21no—
329C22×C32—22no—
330C22×C32—24no—
331C22×C32—22no—
332C22×C32—41no—
333C22×C32—42no—
334C22×C32—42no—
335C22×C32—44no—
336C22×C32—82no—
337C22×C32C2×D1212yescomplemented
338C22×C32D3×D414yescomplemented
339C22×C32C23×D311yescharacteristic
340C22×C32C23×D312yes—
341C2×C3⋊D3—216no—
342C2×C3⋊D3—24no—
343C2×C3⋊D3—22no—
344C2×C3⋊D3—24no—
345C2×C3⋊D3—28no—
346C2×C3⋊D3—24no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3C2×D1212yes—
349C2×C3⋊D3C2×D1212yescomplemented
350C2×C3⋊D3D3×D414yes—
351C2×C3⋊D3D3×D418yescomplemented
352C2×C3×D3—34no—
353C2×C3×D3—38no—
354C2×C3×D3—34no—
355C2×C3×D3—38no—
356C2×C3×D3—38no—
357C2×C3×D3—64no—
358C2×C3×D3—62no—
359C2×C3×D3—68no—
360C2×C3×D3—62no—
361C2×C3×D3—616no—
362C2×C3×D3—616no—
363C2×C3×D3—616no—
364C2×C3×D3—64no—
365C2×C3×D3—64no—
366C2×C3×D3—64no—
367C2×C3×D3—64no—
368C2×C3×D3—64no—
369C2×C3×D3—62no—
370C2×C3×D3—64no—
371C2×C3×D3—62no—
372C2×C3×D3—64no—
373C2×C3×D3—128no—
374C2×C3×D3—124no—
375C2×C3×D3—122no—
376C2×C3×D3—124no—
377C2×C3×D3—1216no—
378C2×C3×D3—124no—
379C2×C3×D3—122no—
380D32—632no—
381D32—616no—
382D32—632no—
383D32—616no—
384D32—128no—
385D32—124no—
386C32×C4—24no—
387C32×C4—22no—
388C32×C4—42no—
389C32×C4—44no—
390C32×C4—82no—
391C3⋊Dic3—22no—
392C3⋊Dic3—22no—
393C3×Dic3—62no—
394C3×Dic3—62no—
395C3×Dic3—64no—
396C3×Dic3—122no—
397C3×Dic3—122no—
398C25—271no—
399C22×D4—272no—
400C22×D4—271no—
401#120—92no—
402#120—274no—
403#120—272no—
404C2×C22⋊C4—91no—
405C2×C22⋊C4—272no—
406C33C2×#12011yescharacteristic, complemented, Sylow
407C23×C3—21no—
408C23×C3—22no—
409C23×C3—41no—
410C23×C3—91no—
411C23×C3—94no—
412C23×C3—91no—
413C23×C3—94no—
414C23×C3—92no—
415C23×C3—184no—
416C23×C3—188no—
417C23×C3—184no—
418C23×C3C2×D3212yes—
419C23×C3C2×D3211yescharacteristic
420C22×D3—32no—
421C22×D3—32no—
422C22×D3—34no—
423C22×D3—34no—
424C22×D3—38no—
425C22×D3—32no—
426C22×D3—32no—
427C22×D3—61no—
428C22×D3—64no—
429C22×D3—61no—
430C22×D3—64no—
431C22×D3—62no—
432C22×D3—68no—
433C22×D3—68no—
434C22×D3—68no—
435C22×D3—64no—
436C22×D3—64no—
437C22×D3—98no—
438C22×D3—916no—
439C22×D3—124no—
440C22×D3—128no—
441C22×D3—124no—
442C22×D3—188no—
443C22×D3—188no—
444C22×D3—188no—
445C22×D3—188no—
446C22×D3—188no—
447C22×D3—184no—
448C22×D3—188no—
449C22×D3—184no—
450C22×D3—184no—
451C22×D3—184no—
452C22×D3—188no—
453C22×D3—1864no—
454C22×D3—1832no—
455C22×D3—184no—
456C22×D3—182no—
457C3×D4—188no—
458C3×D4—184no—
459C2×C3×C4—22no—
460C2×C3×C4—24no—
461C2×C3×C4—42no—
462C2×C3×C4—92no—
463C2×C3×C4—92no—
464C2×C3×C4—184no—
465C2×C3×C4C2×D3214yescomplemented
466C2×C3×C4C2×D3212yescomplemented
467#67—64no—
468#67—64no—
469#67—124no—
470#67—184no—
471#67—188no—
472#67—188no—
473#67—184no—
474C2×Dic3—32no—
475C2×Dic3—32no—
476C2×Dic3—34no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—182no—
480D12—68no—
481D12—68no—
482D12—128no—
483D12—188no—
484D12—184no—
485C4×D3—68no—
486C4×D3—124no—
487C4×D3—184no—
488C2×C32—22no—
489C2×C32—24no—
490C2×C32—22no—
491C2×C32—21no—
492C2×C32—22no—
493C2×C32—24no—
494C2×C32—42no—
495C2×C32—41no—
496C2×C32—44no—
497C2×C32—42no—
498C2×C32—82no—
499C2×C32C22×D1211yescharacteristic
500C2×C32C2×D3×D412yes—
501C2×C32C2×D3×D412yes—
502C2×C32C2×D3×D414yes—
503C3⋊D3—22no—
504C3⋊D3—28no—
505C3⋊D3—42no—
506C3⋊D3#88214yescomplemented
507C3×D3—38no—
508C3×D3—64no—
509C3×D3—68no—
510C3×D3—64no—
511C3×D3—68no—
512C3×D3—128no—
513C3×D3—122no—
514C3×D3—122no—
515C3×D3—122no—
516C3×D3—242no—
517C24—91no—
518C24—92no—
519C24—272no—
520C24—272no—
521C24—271no—
522C24—544no—
523C24—548no—
524C2×D4—92no—
525C2×D4—94no—
526C2×D4—274no—
527C2×D4—272no—
528C2×D4—548no—
529C2×D4—544no—
530C22×C4—92no—
531C22×C4—271no—
532C22⋊C4—91no—
533C22⋊C4—92no—
534C22⋊C4—94no—
535C22⋊C4—274no—
536C22⋊C4#111311yescharacteristic, complemented
537C22×C3—24no—
538C22×C3—22no—
539C22×C3—21no—
540C22×C3—22no—
541C22×C3—24no—
542C22×C3—22no—
543C22×C3—42no—
544C22×C3—44no—
545C22×C3—41no—
546C22×C3—42no—
547C22×C3—82no—
548C22×C3—92no—
549C22×C3—94no—
550C22×C3—92no—
551C22×C3—98no—
552C22×C3—188no—
553C22×C3—1816no—
554C22×C3—184no—
555C22×C3—184no—
556C22×C3—182no—
557C22×C3—182no—
558C22×C3—184no—
559C22×C3D3×D1214yescomplemented
560C22×C3#380212yescomplemented
561C22×C3C22×D3212yes—
562C22×C3C22×D3211yescharacteristic
563C2×D3—34no—
564C2×D3—38no—
565C2×D3—34no—
566C2×D3—38no—
567C2×D3—38no—
568C2×D3—64no—
569C2×D3—62no—
570C2×D3—68no—
571C2×D3—62no—
572C2×D3—616no—
573C2×D3—616no—
574C2×D3—616no—
575C2×D3—64no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—62no—
581C2×D3—62no—
582C2×D3—64no—
583C2×D3—64no—
584C2×D3—128no—
585C2×D3—124no—
586C2×D3—122no—
587C2×D3—124no—
588C2×D3—1216no—
589C2×D3—124no—
590C2×D3—122no—
591C2×D3—1832no—
592C2×D3—1816no—
593C2×D3—1832no—
594C2×D3—1816no—
595C2×D3—368no—
596C2×D3—364no—
597C3×C4—24no—
598C3×C4—22no—
599C3×C4—42no—
600C3×C4—44no—
601C3×C4—82no—
602C3×C4—182no—
603C3×C4—182no—
604Dic3—62no—
605Dic3—62no—
606Dic3—64no—
607Dic3—122no—
608Dic3—122no—
609C32—22no—
610C32—21no—
611C32—41no—
612C32C2×#88211yescharacteristic, complemented
613C32D3×#12012yescomplemented
614C23—91no—
615C23—91no—
616C23—94no—
617C23—94no—
618C23—92no—
619C23—184no—
620C23—188no—
621C23—184no—
622C23—278no—
623C23—544no—
624C23—544no—
625C23—544no—
626C23—548no—
627C23—542no—
628C23—544no—
629C23—5432no—
630C23C2×#111311yescharacteristic
631D4—188no—
632D4—184no—
633D4—544no—
634D4—548no—
635C2×C4—92no—
636C2×C4—92no—
637C2×C4—184no—
638C2×C4—542no—
639C2×C4C2×#111312yescomplemented
640C2×C3—24no—
641C2×C3—22no—
642C2×C3—22no—
643C2×C3—21no—
644C2×C3—22no—
645C2×C3—24no—
646C2×C3—42no—
647C2×C3—44no—
648C2×C3—41no—
649C2×C3—42no—
650C2×C3—82no—
651C2×C3—94no—
652C2×C3—188no—
653C2×C3—182no—
654C2×C3—362no—
655C2×C3C2×D3×D1212yes—
656C2×C3C2×#380211yescharacteristic
657C2×C3D32×D414yes—
658C2×C3D32×D412yes—
659D3—38no—
660D3—64no—
661D3—64no—
662D3—68no—
663D3—68no—
664D3—122no—
665D3—128no—
666D3—122no—
667D3—122no—
668D3—242no—
669C22—22no—
670C22—92no—
671C22—94no—
672C22—92no—
673C22—98no—
674C22—188no—
675C22—1816no—
676C22—184no—
677C22—182no—
678C22—184no—
679C22—182no—
680C22—184no—
681C22—5416no—
682C22—5416no—
683C22—1084no—
684C22C4⋊#111312yescomplemented
685C22C22×#111311yescharacteristic
686C4—22no—
687C4—182no—
688C4—182no—
689C3—21no—
690C3—22no—
691C3—41no—
692C3D3×#88212yescomplemented
693C3#1059425811yescharacteristic, complemented
694C2—22no—
695C2—94no—
696C2—182no—
697C2—188no—
698C2—362no—
699C2C2×C4⋊#111311yescharacteristic
700C2D4×#111312yes—
subgroupG/H
center, FrattiniC22C22×#1113
commutator, socle, cosocleC22×C33C24
FittingC33×C22⋊C4C22
hypercenterC22⋊C4#1113
hypocenterC33C2×#120
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C23×#1113C2semidirect
2. C2×#89049C2semidirect
3. C2×C4⋊#1113C2semidirect
4. C3×#64091C2semidirect
5. C3×C22⋊C4×C3⋊D3C2semidirect
6. #11723727C2semidirect
7. #11723701C2semidirect
8. #11723700C2semidirect
12. C23×C3×C3⋊D3C22semidirect
16. C22×#1113C22semidirect
17. C22×#1113C22semidirect
18. C2×C3×#638C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
20. C2×C3×C4×C3⋊D3C22semidirect
22. C2×#6295C22semidirect
23. C2×#6295C22semidirect
24. C2×#6294C22semidirect
26. C33×C22⋊C4C22semidirect
27. C3×#3757C22semidirect
28. C3×#3752C22semidirect
29. C3×#3752C22semidirect
30. #88814C22semidirect
37. #64091D3semidirect
38. C22⋊C4×C3⋊D3D3semidirect
56. C22×C3×C3⋊D3D4semidirect
60. C22×C3×C3⋊D3C23semidirect
68. C2×#1113D4semidirect
69. C2×C33×C4C23semidirect
71. C2×C3×C3⋊Dic3C23semidirect
72. C2×C3×C3⋊Dic3C23semidirect
81. C23×C3⋊D3C2×D3semidirect
97. C2×#638C2×D3semidirect
98. C2×C4⋊(C3⋊D3)C2×D3semidirect
99. C2×C4×C3⋊D3C2×D3semidirect
123. C32×C22⋊C4C2×D3semidirect
124. C32×C22⋊C4C2×D3semidirect
125. #3757C2×D3semidirect
126. #3752C2×D3semidirect
127. #3752C2×D3semidirect
139. C22×C33C2×D4semidirect
150. C2×C3×C3⋊D3C2×D4semidirect
151. C2×C3×C3⋊D3C2×D4semidirect
187. C22×C3⋊D3D12semidirect
191. C22×C3⋊D3C22×D3semidirect
232. C2×C32×C4C22×D3semidirect
233. C2×C32×C4C22×D3semidirect
235. C2×C3⋊Dic3C22×D3semidirect
236. C2×C3⋊Dic3C22×D3semidirect
267. C3×C3⋊D3#120semidirect
314. C3×C22⋊C4D32semidirect
315. C3×C22⋊C4D32semidirect
337. C22×C32C2×D12semidirect
338. C22×C32D3×D4semidirect
349. C2×C3⋊D3C2×D12semidirect
351. C2×C3⋊D3D3×D4semidirect
406. C33C2×#120semidirect
465. C2×C3×C4C2×D32semidirect
466. C2×C3×C4C2×D32semidirect
506. C3⋊D3#882semidirect
536. C22⋊C4#1113semidirect
559. C22×C3D3×D12semidirect
560. C22×C3#3802semidirect
612. C32C2×#882semidirect
613. C32D3×#120semidirect
639. C2×C4C2×#1113semidirect
684. C22C4⋊#1113semidirect
692. C3D3×#882semidirect
693. C3#10594258semidirect

Maximal subgroups

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

subgroupindex
C23×#11132
C2×#890492
C2×C4⋊#11132
C3×#640912
C3×C22⋊C4×C3⋊D32
#117237272
#117237012
#117237002
#105942583
D3×#8823