Finite Group Databasebeta

← Dic3×#3805 #13171731

Subgroups — Dic3×#3805 #13171731

Order 1728.

1590 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3805C211yesmaximal, characteristic
2#11723715C211yesmaximal, characteristic, complemented
3#67⋊(C3⋊Dic3)C212yesmaximal, complemented
4C2×Dic3×C3⋊Dic3C211yesmaximal, characteristic, complemented
5C3×Dic3×#67C212yesmaximal, complemented
6#11722941C211yesmaximal, characteristic, complemented
7Dic3×#627C211yesmaximal, characteristic, complemented
8#11722925C211yesmaximal, characteristic, complemented
9Dic3×#625C211yesmaximal, characteristic, complemented
10#11722914C212yesmaximal, complemented
11D3×Dic32C212yesmaximal, complemented
12Dic3×#237—32nomaximal
13C4×#3805—31nomaximal
14C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
15C22×C3×C3⋊Dic3C2211yescharacteristic
16C2×C32×#67C2212yes—
17C22×C32×Dic3C2211yescharacteristic
18C2×D3×C3⋊Dic3C2212yes—
19C2×C3×#627C2211yescharacteristic
20C2×C3×#625C2211yescharacteristic
21C3×#3805C418yescomplemented
22C2×C3×D3×Dic3C2212yes—
23C2×C3×D3×Dic3C2212yes—
24C3×#3757C2212yes—
25#88815C2211yescharacteristic
26#88815C2211yescharacteristic
27#88813C2212yes—
28Dic3⋊(C3⋊Dic3)C2212yes—
29(C2×D3)⋊(C3⋊Dic3)C2212yes—
30Dic3×C3⋊Dic3C2211yescharacteristic
31Dic3×C3⋊Dic3C2211yescharacteristic
32Dic3×C3⋊Dic3C2211yescharacteristic
33Dic3×C3⋊Dic3C2211yescharacteristic
34Dic3×C3⋊Dic3C2212yes—
35C3×Dic3⋊Dic3C2212yes—
36C3×(C2×D3)⋊Dic3C2212yes—
37C3×Dic32C2212yes—
38C2×C3×#237—32no—
39C2×#3805D311yescharacteristic
40D4×C3⋊Dic3—32no—
41C2×C4×C3⋊Dic3—31no—
42C3×D4×Dic3—32no—
43C3×C4×#67—32no—
44#67⋊Dic3—32no—
45#67⋊Dic3—32no—
46#67⋊Dic3—32no—
47#67⋊Dic3—62no—
48Dic3×#67—32no—
49Dic3×#67D312yescomplemented
50#63957—31no—
51#63955—32no—
52#63955—32no—
53C2×Dic32—32no—
54C2×Dic32—32no—
55C2×Dic32—61no—
56C4×#627—31no—
57#63902—31no—
58C4×#625—31no—
59#63878—32no—
60C4×D3×Dic3—32no—
61C4×D3×Dic3—32no—
62#63843—32no—
63Dic3×Dic6—32no—
64#63841—32no—
65#63838—31no—
66C23×C33C2311yescharacteristic
67C22×C32×D3C2312yes—
68C2×C3⋊(C3⋊Dic3)—22no—
69C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
70C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
71C2×C3×C3⋊Dic3C2×C414yescomplemented
72C2×C3×C3⋊Dic3C2312yes—
73C2×C3×C3⋊Dic3C2312yes—
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C32×#67C2×C418yescomplemented
77C2×C32×Dic3—22no—
78C2×C32×Dic3C2311yescharacteristic
79C2×C32×Dic3C2312yes—
80C2×C32×Dic3C2311yescharacteristic
81D3×C3⋊Dic3—24no—
82C3×#627C2×C414yescomplemented
83C3×#625C2×C414yescomplemented
84C3×D3×Dic3—24no—
85C3×D3×Dic3C2×C418yescomplemented
86Dic3×#41—91no—
87C4×#237—92no—
88C2×C32×D4—32no—
89C22×C32×C4—31no—
90C22×C3⋊Dic3—31no—
91C22×C3⋊Dic3—32no—
92C22×C3⋊Dic3—32no—
93C22×C3⋊Dic3—61no—
94C22×C3⋊Dic3—62no—
95C22×C3⋊Dic3—121no—
96C22×C3⋊Dic3C2×D311yescharacteristic
97C2×C3×#67—22no—
98C2×C3×#67—32no—
99C2×C3×#67C2×D312yes—
100C2×C3×#67C2×D312yes—
101C22×C3×Dic3—21no—
102C22×C3×Dic3—32no—
103C22×C3×Dic3—32no—
104C22×C3×Dic3—32no—
105C22×C3×Dic3—61no—
106C22×C3×Dic3C2×D312yes—
107C3×#237—316no—
108C2×C3×C4×D3—32no—
109C2×C3×C4×D3—32no—
110C2×C3×Dic6—32no—
111C2×#627C2×D311yescharacteristic
112C2×#625C2×D311yescharacteristic
113#3805Dic318yesdirect product factor
114C2×D3×Dic3—32no—
115C2×D3×Dic3—32no—
116C2×D3×Dic3—62no—
117C2×D3×Dic3C2×D312yes—
118C2×D3×Dic3C2×D312yes—
119#3757—32no—
120#3757C2×D312yes—
121C4⋊(C3⋊Dic3)—32no—
122C4×C3⋊Dic3—31no—
123C4×C3⋊Dic3—32no—
124C4×C3⋊Dic3—31no—
125C4×C3⋊Dic3—31no—
126C4×C3⋊Dic3—31no—
127C3×#217—32no—
128C3×#217—32no—
129C3×#217—32no—
130C3×#217—62no—
131C3×(C2×D3)⋊C4—32no—
132C3×C4⋊Dic3—32no—
133C3×Dic3⋊C4—32no—
134C3×C4×Dic3—32no—
135C3×C4×Dic3—32no—
136#3724—31no—
137#3724—31no—
138Dic3⋊Dic3—32no—
139Dic3⋊Dic3—32no—
140Dic3⋊Dic3—32no—
141Dic3⋊Dic3—32no—
142Dic3⋊Dic3—62no—
143Dic3⋊Dic3C2×D312yes—
144(C2×D3)⋊Dic3—32no—
145(C2×D3)⋊Dic3—32no—
146(C2×D3)⋊Dic3—62no—
147(C2×D3)⋊Dic3C2×D312yes—
148Dic32—32no—
149Dic32—32no—
150Dic32—32no—
151Dic32—32no—
152Dic32—32no—
153Dic32—32no—
154Dic32—32no—
155Dic32—32no—
156Dic32—32no—
157Dic32—61no—
158Dic32—61no—
159Dic32—61no—
160Dic32—61no—
161Dic32—62no—
162Dic32C2×D312yes—
163C22×C33—21no—
164C22×C33—21no—
165C22×C33C22×C412yes—
166C22×C33C2411yescharacteristic
167C2×C32×D3—22no—
168C2×C32×D3—22no—
169C2×C32×D3C22×C414yes—
170C3⋊(C3⋊Dic3)—21no—
171C3⋊(C3⋊Dic3)#4112yescomplemented
172C3×C3⋊Dic3—22no—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3C22×C412yes—
175C3×C3⋊Dic3C22×C412yes—
176C32×Dic3—21no—
177C32×Dic3C22×C414yes—
178C32×Dic3#4112yescomplemented
179C2×C3×#41—91no—
180C2×#237—32no—
181C3×C4×D4—92no—
182Q8×Dic3—91no—
183Q8×Dic3—91no—
184D4×Dic3—32no—
185D4×Dic3—91no—
186D4×Dic3—92no—
187D4×Dic3—92no—
188D4×Dic3—91no—
189D4×Dic3—182no—
190C4×#67—32no—
191C4×#67—92no—
192#926—92no—
193#926—91no—
194C2×C4×Dic3—92no—
195C2×C4×Dic3—92no—
196C2×C4×Dic3—92no—
197C2×C4×Dic3—91no—
198C2×C4×Dic3—181no—
199#892—92no—
200#887—92no—
201#67⋊C4—92no—
202#67⋊C4—92no—
203#877—92no—
204#877—92no—
205C42×D3—92no—
206C4×Dic6—92no—
207C23×C32—21no—
208C23×C32—22no—
209C23×C32—32no—
210C23×C32—41no—
211C23×C32C22×D312yes—
212C23×C32C22×D311yescharacteristic
213C22×C3×D3—22no—
214C22×C3×D3C22×D312yes—
215C22×C3×D3C22×D312yes—
216C32×D4—38no—
217C2×C32×C4—31no—
218C2×C32×C4—32no—
219C2×C32×C4—31no—
220C2×C32×C4—62no—
221C2×C3⋊Dic3—32no—
222C2×C3⋊Dic3—31no—
223C2×C3⋊Dic3—32no—
224C2×C3⋊Dic3—31no—
225C2×C3⋊Dic3—61no—
226C2×C3⋊Dic3—61no—
227C2×C3⋊Dic3—62no—
228C2×C3⋊Dic3—62no—
229C2×C3⋊Dic3—62no—
230C2×C3⋊Dic3—64no—
231C2×C3⋊Dic3—64no—
232C2×C3⋊Dic3—64no—
233C2×C3⋊Dic3—121no—
234C2×C3⋊Dic3—121no—
235C2×C3⋊Dic3—124no—
236C2×C3⋊Dic3—124no—
237C2×C3⋊Dic3C2×Dic314yescomplemented
238C2×C3⋊Dic3C22×D312yes—
239C2×C3⋊Dic3C22×D312yes—
240C2×C3⋊Dic3C22×D311yescharacteristic
241C2×C3⋊Dic3C22×D311yescharacteristic
242C3×#67—28no—
243C3×#67—38no—
244C3×#67C4×D318yescomplemented
245C3×#67C2×Dic318yescomplemented
246C2×C3×Dic3—24no—
247C2×C3×Dic3—24no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—22no—
251C2×C3×Dic3—38no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—32no—
254C2×C3×Dic3—38no—
255C2×C3×Dic3—32no—
256C2×C3×Dic3—32no—
257C2×C3×Dic3—32no—
258C2×C3×Dic3—32no—
259C2×C3×Dic3—61no—
260C2×C3×Dic3—61no—
261C2×C3×Dic3—64no—
262C2×C3×Dic3—62no—
263C2×C3×Dic3—62no—
264C2×C3×Dic3—64no—
265C2×C3×Dic3C22×D312yes—
266C2×C3×Dic3C22×D312yes—
267C2×C3×Dic3C22×D312yes—
268C2×C3×Dic3C22×D312yes—
269C3×C4×D3—38no—
270C3×C4×D3—64no—
271C3×Dic6—38no—
272#627C2×Dic314yescomplemented
273#625C2×Dic314yescomplemented
274D3×Dic3—24no—
275D3×Dic3—64no—
276D3×Dic3—64no—
277D3×Dic3—124no—
278D3×Dic3C2×Dic318yescomplemented
279C4×#41—271noSylow
280C2×C33—22no—
281C2×C33C23×C411yescharacteristic
282C2×C33C2×#4111yescharacteristic
283C2×C33C2×#4111yescharacteristic
284C32×D3—24no—
285C3×#41—98no—
286C2×C3×Q8—91no—
287C2×C3×D4—32no—
288C2×C3×D4—32no—
289C2×C3×D4—62no—
290C2×C3×D4—91no—
291C22×C3×C4—32no—
292C22×C3×C4—61no—
293C22×C3×C4—92no—
294C22×C3×C4—92no—
295C22×C3×C4—91no—
296C2×#67—32no—
297C2×#67D3212yes—
298C22×Dic3—32no—
299C22×Dic3—32no—
300C22×Dic3—32no—
301C22×Dic3—61no—
302C22×Dic3—92no—
303C22×Dic3—92no—
304C22×Dic3—92no—
305C22×Dic3—91no—
306C22×Dic3—182no—
307C22×Dic3—181no—
308C22×Dic3—182no—
309C22×Dic3—361no—
310C22×Dic3D3211yescharacteristic
311#237—316no—
312C2×C4×D3—32no—
313C2×C4×D3—32no—
314C2×C4×D3—92no—
315C2×Dic6—32no—
316C3×C4⋊C4—92no—
317C3×C22⋊C4—92no—
318C3×C22⋊C4—92no—
319C3×C42—92no—
320#217—32no—
321#217—32no—
322#217—32no—
323#217—62no—
324#217—92no—
325#217—92no—
326#217—182no—
327(C2×D3)⋊C4—32no—
328(C2×D3)⋊C4—92no—
329C4⋊Dic3—32no—
330C4⋊Dic3—91no—
331C4⋊Dic3—91no—
332C4⋊Dic3—92no—
333C4⋊Dic3—92no—
334C4⋊Dic3—182no—
335Dic3⋊C4—32no—
336Dic3⋊C4—92no—
337Dic3⋊C4—92no—
338Dic3⋊C4—92no—
339C4×Dic3—32no—
340C4×Dic3—32no—
341C4×Dic3—92no—
342C4×Dic3—92no—
343C4×Dic3—92no—
344C4×Dic3—92no—
345C4×Dic3—92no—
346C4×Dic3—92no—
347C4×Dic3—92no—
348C4×Dic3—92no—
349C4×Dic3—92no—
350C4×Dic3—92no—
351C4×Dic3—91no—
352C4×Dic3—91no—
353C4×Dic3—91no—
354C4×Dic3—91no—
355C4×Dic3—181no—
356C4×Dic3—181no—
357C4×Dic3—181no—
358C4×Dic3—181no—
359C4×Dic3—182no—
360C22×C32—21no—
361C22×C32—21no—
362C22×C32—22no—
363C22×C32—22no—
364C22×C32—22no—
365C22×C32—22no—
366C22×C32—21no—
367C22×C32—22no—
368C22×C32—22no—
369C22×C32—24no—
370C22×C32—34no—
371C22×C32—42no—
372C22×C32—41no—
373C22×C32—42no—
374C22×C32—42no—
375C22×C32—42no—
376C22×C32—42no—
377C22×C32—62no—
378C22×C32—62no—
379C22×C32C2×C4×D314yes—
380C22×C32C22×Dic312yes—
381C22×C32C23×D312yes—
382C22×C32C23×D311yescharacteristic
383C2×C3×D3—22no—
384C2×C3×D3—22no—
385C2×C3×D3—22no—
386C2×C3×D3—22no—
387C2×C3×D3—24no—
388C2×C3×D3—42no—
389C2×C3×D3—42no—
390C2×C3×D3C2×C4×D314yes—
391C2×C3×D3C22×Dic314yes—
392C32×C4—34no—
393C32×C4—32no—
394C32×C4—61no—
395C3⋊Dic3—22no—
396C3⋊Dic3—22no—
397C3⋊Dic3—32no—
398C3⋊Dic3—34no—
399C3⋊Dic3—64no—
400C3⋊Dic3—62no—
401C3⋊Dic3—61no—
402C3⋊Dic3—62no—
403C3⋊Dic3—62no—
404C3⋊Dic3—122no—
405C3⋊Dic3—122no—
406C3⋊Dic3—122no—
407C3⋊Dic3C22×Dic312yes—
408C3⋊Dic3C22×Dic312yes—
409C3×Dic3—22no—
410C3×Dic3—22no—
411C3×Dic3—24no—
412C3×Dic3—22no—
413C3×Dic3—34no—
414C3×Dic3—34no—
415C3×Dic3—62no—
416C3×Dic3—62no—
417C3×Dic3—62no—
418C3×Dic3—62no—
419C3×Dic3—62no—
420C3×Dic3—62no—
421C3×Dic3—122no—
422C3×Dic3—122no—
423C3×Dic3C2×C4×D314yes—
424C3×Dic3#23714yescomplemented
425C3×Dic3C22×Dic314yes—
426C2×#41—91no—
427C4×Q8—271no—
428C4×Q8—271no—
429C4×D4—92no—
430C4×D4—271no—
431C4×D4—272no—
432C4×D4—271no—
433#117—271no—
434#117—272no—
435C2×C42—272no—
436C2×C42—271no—
437C33C4×#4111yescharacteristic, complemented, Sylow
438C23×C3—21no—
439C23×C3—22no—
440C23×C3—32no—
441C23×C3—32no—
442C23×C3—41no—
443C23×C3—62no—
444C23×C3C2×D3211yescharacteristic
445C23×C3C2×D3212yes—
446C22×D3C2×D3212yes—
447C3×Q8—94no—
448C3×D4—38no—
449C3×D4—38no—
450C3×D4—68no—
451C3×D4—94no—
452C2×C3×C4—32no—
453C2×C3×C4—32no—
454C2×C3×C4—32no—
455C2×C3×C4—32no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—62no—
459C2×C3×C4—64no—
460C2×C3×C4—64no—
461C2×C3×C4—98no—
462C2×C3×C4—91no—
463C2×C3×C4—91no—
464C2×C3×C4—94no—
465C2×C3×C4—92no—
466C2×C3×C4—92no—
467C2×C3×C4—184no—
468#67—38no—
469#67D3×Dic318yescomplemented
470C2×Dic3—22no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—38no—
474C2×Dic3—38no—
475C2×Dic3—32no—
476C2×Dic3—32no—
477C2×Dic3—32no—
478C2×Dic3—32no—
479C2×Dic3—64no—
480C2×Dic3—61no—
481C2×Dic3—61no—
482C2×Dic3—62no—
483C2×Dic3—62no—
484C2×Dic3—64no—
485C2×Dic3—92no—
486C2×Dic3—91no—
487C2×Dic3—92no—
488C2×Dic3—91no—
489C2×Dic3—181no—
490C2×Dic3—181no—
491C2×Dic3—182no—
492C2×Dic3—182no—
493C2×Dic3—184no—
494C2×Dic3—184no—
495C2×Dic3—182no—
496C2×Dic3—184no—
497C2×Dic3—184no—
498C2×Dic3—361no—
499C2×Dic3—361no—
500C2×Dic3—364no—
501C2×Dic3—364no—
502C2×Dic3—364no—
503C2×Dic3C2×D3211yescharacteristic
504C2×Dic3C2×D3212yes—
505C2×Dic3C2×D3211yescharacteristic
506C4×D3—38no—
507C4×D3—64no—
508C4×D3—184no—
509Dic6—38no—
510C2×C32—22no—
511C2×C32—24no—
512C2×C32—24no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—22no—
516C2×C32—22no—
517C2×C32—22no—
518C2×C32—21no—
519C2×C32—41no—
520C2×C32—41no—
521C2×C32—41no—
522C2×C32—44no—
523C2×C32—44no—
524C2×C32—64no—
525C2×C32C22×C4×D312yes—
526C2×C32C2×#23712yes—
527C2×C32D3×#4112yes—
528C2×C32D3×#4111yescharacteristic
529C2×C32D3×#4111yescharacteristic
530C2×C32C23×Dic311yescharacteristic
531C3×D3—24no—
532C3×D3—24no—
533C3×D3—44no—
534#41—98no—
535C2×Q8—91no—
536C2×D4—32no—
537C2×D4—91no—
538C22×C4—31no—
539C22×C4—92no—
540C22×C4—92no—
541C22×C4—91no—
542C22×C4—272no—
543C22×C4—271no—
544C4⋊C4—92no—
545C4⋊C4—272no—
546C4⋊C4—271no—
547C4⋊C4—271no—
548C22⋊C4—92no—
549C22⋊C4—92no—
550C22⋊C4—272no—
551C42—92no—
552C42—271no—
553C42—271no—
554C42—271no—
555C42—272no—
556C42—271no—
557C42—272no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—21no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—24no—
568C22×C3—34no—
569C22×C3—34no—
570C22×C3—42no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—41no—
575C22×C3—42no—
576C22×C3—64no—
577C22×C3—62no—
578C22×C3—62no—
579C22×C3—62no—
580C22×C3—62no—
581C22×C3—122no—
582C22×C3—122no—
583C22×C3C4×D3212yes—
584C22×C3C2×D3×Dic314yes—
585C22×C3C22×D3211yescharacteristic
586C22×C3C22×D3212yes—
587C2×D3—22no—
588C2×D3—22no—
589C2×D3C2×D3×Dic314yes—
590C3×C4—34no—
591C3×C4—34no—
592C3×C4—34no—
593C3×C4—62no—
594C3×C4—64no—
595C3×C4—62no—
596C3×C4—62no—
597C3×C4—92no—
598C3×C4—92no—
599C3×C4—182no—
600C3×C4—182no—
601Dic3—21no—
602Dic3—34no—
603Dic3—34no—
604Dic3—62no—
605Dic3—62no—
606Dic3—62no—
607Dic3—62no—
608Dic3—62no—
609Dic3—62no—
610Dic3—92no—
611Dic3—94no—
612Dic3—122no—
613Dic3—122no—
614Dic3—182no—
615Dic3—184no—
616Dic3—182no—
617Dic3—181no—
618Dic3—182no—
619Dic3—362no—
620Dic3—362no—
621Dic3—362no—
622Dic3C2×D3×Dic314yes—
623Dic3#380512yesdirect product factor
624C32—21no—
625C32—22no—
626C32—41no—
627C32C4×#23712yescomplemented
628C32Dic3×#4111yescharacteristic, complemented
629C23—32no—
630C23D3311yescharacteristic
631Q8—94no—
632D4—38no—
633D4—94no—
634C2×C4—31no—
635C2×C4—32no—
636C2×C4—31no—
637C2×C4—62no—
638C2×C4—98no—
639C2×C4—91no—
640C2×C4—91no—
641C2×C4—94no—
642C2×C4—92no—
643C2×C4—92no—
644C2×C4—184no—
645C2×C4—271no—
646C2×C4—271no—
647C2×C4—544no—
648C2×C4—542no—
649C2×C3—24no—
650C2×C3—22no—
651C2×C3—24no—
652C2×C3—21no—
653C2×C3—22no—
654C2×C3—22no—
655C2×C3—21no—
656C2×C3—22no—
657C2×C3—21no—
658C2×C3—44no—
659C2×C3—44no—
660C2×C3—41no—
661C2×C3—41no—
662C2×C3—41no—
663C2×C3—64no—
664C2×C3—64no—
665C2×C3—124no—
666C2×C3C2×C4×D3211yescharacteristic
667C2×C3#6430611yescharacteristic
668C2×C3D3×#23712yes—
669C2×C3#6431212yes—
670C2×C3C22×D3×Dic312yes—
671C2×C3C2×#380511yescharacteristic
672D3—24no—
673C22—21no—
674C22—21no—
675C22—34no—
676C22—62no—
677C22—62no—
678C22D32×Dic312yes—
679C22C2×D3311yescharacteristic
680C4—34no—
681C4—32no—
682C4—61no—
683C4—92no—
684C4—92no—
685C4—182no—
686C4—182no—
687C4—272no—
688C4—541no—
689C3—21no—
690C3—22no—
691C3—41no—
692C3C4×#380511yescharacteristic, complemented
693C3Dic3×#23712yescomplemented
694C2—22no—
695C2—64no—
696C2C2×D32×Dic311yescharacteristic
697C2D3×#380511yescharacteristic
698C2#1172441111yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC23×C33C23
socle, cosocleC22×C33C24
prime radicalC2×C3×#3805C2
hypercenterC23D33
hypocenterC33C4×#41
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
2. #11723715C2semidirect
3. #67⋊(C3⋊Dic3)C2semidirect
4. C2×Dic3×C3⋊Dic3C2semidirect
5. C3×Dic3×#67C2semidirect
6. #11722941C2semidirect
7. Dic3×#627C2semidirect
8. #11722925C2semidirect
9. Dic3×#625C2semidirect
10. #11722914C2semidirect
11. D3×Dic32C2semidirect
21. C3×#3805C4semidirect
49. Dic3×#67D3semidirect
71. C2×C3×C3⋊Dic3C2×C4semidirect
76. C32×#67C2×C4semidirect
82. C3×#627C2×C4semidirect
83. C3×#625C2×C4semidirect
85. C3×D3×Dic3C2×C4semidirect
113. #3805Dic3direct (N × H)
171. C3⋊(C3⋊Dic3)#41semidirect
178. C32×Dic3#41semidirect
237. C2×C3⋊Dic3C2×Dic3semidirect
244. C3×#67C4×D3semidirect
245. C3×#67C2×Dic3semidirect
272. #627C2×Dic3semidirect
273. #625C2×Dic3semidirect
278. D3×Dic3C2×Dic3semidirect
424. C3×Dic3#237semidirect
437. C33C4×#41semidirect
469. #67D3×Dic3semidirect
623. Dic3#3805direct (N × H)
627. C32C4×#237semidirect
628. C32Dic3×#41semidirect
692. C3C4×#3805semidirect
693. C3Dic3×#237semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38052
#117237152
#67⋊(C3⋊Dic3)2
C2×Dic3×C3⋊Dic32
C3×Dic3×#672
#117229412
Dic3×#6272
#117229252
Dic3×#6252
#117229142
D3×Dic322
Dic3×#2373
C4×#38053