Finite Group Databasebeta

← C3×#10596063 #13179338

Subgroups — C3×#10596063 #13179338

Order 1728.

2524 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#638C211yesmaximal, characteristic, complemented
2C2×C3×#3830C211yesmaximal, characteristic, complemented
3C33×#120C211yesmaximal, characteristic, complemented
4C3×#64162C211yesmaximal, characteristic, complemented
5C3×#64149C212yesmaximal, complemented
6C3×#64148C212yesmaximal, complemented
7C3×#64146C211yesmaximal, characteristic, complemented
8C3×#64094C212yesmaximal, complemented
9C3×#64093C212yesmaximal, complemented
10C3×#64091C211yesmaximal, characteristic, complemented
11C3×#64086C211yesmaximal, characteristic, complemented
12#10596063C311yesmaximal, characteristic, direct product factor
13C3×#5592—34nomaximal
14C24×C33C2211yescharacteristic
15C23×C3×C3⋊D3C2211yescharacteristic
16C2×C33×D4C2211yescharacteristic
17C2×C33×D4C2212yescomplemented
18C2×C3×#638—24no—
19C2×C3×#638C2211yescharacteristic
20C2×C3×#638C2212yes—
21C2×C3×#638C2212yes—
22C2×C3×#638C2211yescharacteristic, complemented
23C2×C3×#638C2212yescomplemented
24C2×C3×#638C2212yescomplemented
25C22×C3×C3⋊Dic3C2211yescharacteristic
26C22×C3×C3⋊Dic3C2211yescharacteristic, complemented
27C3×#3830—24no—
28C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
29C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
30C2×C3×#634C2211yescharacteristic, complemented
31C33×C22⋊C4C2211yescharacteristic
32C33×C22⋊C4C2212yescomplemented
33C3×#3757C2211yescharacteristic
34C3×#3757C2212yescomplemented
35C3×#3752C2212yescomplemented
36C3×#3752C2212yescomplemented
37C3×#3750C2212yescomplemented
38C3×C4×C3⋊Dic3C2212yescomplemented
39C22×#638C2×C311yescharacteristic, complemented
40C2×#3830C2×C311yescharacteristic, complemented
41C22×C3×#67—34no—
42C2×C3×#237—34no—
43C32×#120—24no—
44C32×#120D314yescomplemented
45C32×#120C2×C311yescharacteristic, complemented
46#64162C2×C311yescharacteristic, complemented
47#64149C2×C312yescomplemented
48#64148C2×C312yescomplemented
49#64146C2×C311yescharacteristic, complemented
50#64094C2×C312yescomplemented
51#64093C2×C312yescomplemented
52#64091C2×C311yescharacteristic, complemented
53#64086C2×C311yescharacteristic, complemented
54C3×#953—34no—
55C3×#940—38no—
56C3×#939—38no—
57C3×#937—34no—
58C3×#885—38no—
59C3×#884—38no—
60C3×#882—34no—
61C3×#877—34no—
62C23×C33—22no—
63C23×C33—42no—
64C23×C33C2312yes—
65C23×C33C2311yescharacteristic
66C23×C33C2311yescharacteristic
67C22×C3×C3⋊D3—22no—
68C22×C3×C3⋊D3—42no—
69C22×C3×C3⋊D3C2312yes—
70C22×C3×C3⋊D3C2311yescharacteristic
71C33×D4—22no—
72C33×D4—42no—
73C2×C33×C4C2312yes—
74C2×C33×C4C2311yescharacteristic
75C3×#638—22no—
76C3×#638—22no—
77C3×#638—24no—
78C3×#638—24no—
79C3×#638—42no—
80C3×#638—42no—
81C2×C3×C3⋊Dic3—22no—
82C2×C3×C3⋊Dic3D414yescomplemented
83C2×C3×C3⋊Dic3C2312yes—
84C2×C3×C3⋊Dic3C2311yescharacteristic
85C2×C3×C3⋊Dic3C2311yescharacteristic
86C2×C3×C3⋊Dic3C2311yescharacteristic
87C3×C4⋊(C3⋊D3)—42no—
88C3×C4×C3⋊D3—22no—
89C3×#634—22no—
90C3×#535—91no—
91#5592—34no—
92C24×C32—24no—
93C24×C32C2×D314yes—
94C24×C32C22×C311yescharacteristic
95C23×C3⋊D3C22×C311yescharacteristic
96C23×C3×D3—34no—
97C2×C32×D4—24no—
98C2×C32×D4—28no—
99C2×C32×D4C2×D314yes—
100C2×C32×D4C2×D318yescomplemented
101C2×C32×D4C22×C311yescharacteristic
102C2×C32×D4C22×C312yescomplemented
103C2×#638—24no—
104C2×#638C22×C311yescharacteristic
105C2×#638C22×C312yes—
106C2×#638C22×C312yes—
107C2×#638C22×C311yescharacteristic, complemented
108C2×#638C22×C312yescomplemented
109C2×#638C22×C312yescomplemented
110C22×C3⋊Dic3C22×C311yescharacteristic
111C22×C3⋊Dic3C22×C311yescharacteristic, complemented
112#3830—24no—
113C2×C4⋊(C3⋊D3)C22×C312yescomplemented
114C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
115C2×#634C22×C311yescharacteristic, complemented
116C2×C3×#67—34no—
117C2×C3×#67—38no—
118C2×C3×#67—38no—
119C2×C3×#67—34no—
120C2×C3×#67—38no—
121C2×C3×#67—38no—
122C2×C3×#67—616no—
123C22×C3×Dic3—34no—
124C22×C3×Dic3—34no—
125C3×#237—616no—
126C2×C3×D12—38no—
127C2×C3×C4×D3—34no—
128C2×C3×Dic6—34no—
129C32×C22⋊C4—24no—
130C32×C22⋊C4—28no—
131C32×C22⋊C4C2×D314yes—
132C32×C22⋊C4C2×D318yescomplemented
133C32×C22⋊C4C22×C311yescharacteristic
134C32×C22⋊C4C22×C312yescomplemented
135#3757C22×C311yescharacteristic
136#3757C22×C312yescomplemented
137#3752C22×C312yescomplemented
138#3752C22×C312yescomplemented
139#3750C22×C312yescomplemented
140C4×C3⋊Dic3C22×C312yescomplemented
141C3×#217—34no—
142C3×#217—38no—
143C3×(C2×D3)⋊C4—38no—
144C3×(C2×D3)⋊C4—38no—
145C3×Dic3⋊C4—38no—
146C3×C4×Dic3—38no—
147C22×C33—22no—
148C22×C33—21no—
149C22×C33—22no—
150C22×C33—22no—
151C22×C33—22no—
152C22×C33—22no—
153C22×C33—44no—
154C22×C33C2×D412yes—
155C22×C33C2411yescharacteristic
156C2×C3×C3⋊D3—21no—
157C2×C3×C3⋊D3—22no—
158C2×C3×C3⋊D3—22no—
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—44no—
162C33×C4—21no—
163C33×C4—22no—
164C3×C3⋊Dic3—21no—
165C3×C3⋊Dic3—22no—
166C3×C3⋊Dic3C2×D412yes—
167C3×C3⋊Dic3C2×D412yes—
168C2×C3×#41—91no—
169C22×C3×D4—91no—
170C22×#67—34no—
171C2×#237—34no—
172C3×#127—92no—
173C3×#124—92no—
174C3×#121—92no—
175C3×#121—92no—
176C3×#120—24no—
177C3×#120—91no—
178C3×#120—91no—
179C3×#120—91no—
180C3×#120C3×D314yescomplemented
181C3×#120C3⋊D311yescharacteristic, complemented
182C3×#117—91no—
183#953—34no—
184#940—38no—
185#939—38no—
186#937—34no—
187#885—38no—
188#884—38no—
189#882—34no—
190#877—34no—
191C23×C32—22no—
192C23×C32—28no—
193C23×C32—24no—
194C23×C32—24no—
195C23×C32—28no—
196C23×C32—48no—
197C23×C32—48no—
198C23×C32—42no—
199C23×C32—416no—
200C23×C32C22×D318yes—
201C23×C32C22×D314yes—
202C23×C32C22×D314yes—
203C23×C32C23×C312yes—
204C23×C32C23×C311yescharacteristic
205C23×C32C23×C311yescharacteristic
206C22×C3⋊D3—22no—
207C22×C3⋊D3—42no—
208C22×C3⋊D3C23×C312yes—
209C22×C3⋊D3C23×C311yescharacteristic
210C22×C3×D3—38no—
211C22×C3×D3—34no—
212C22×C3×D3—68no—
213C22×C3×D3—128no—
214C32×D4—22no—
215C32×D4—28no—
216C32×D4—48no—
217C32×D4—48no—
218C32×D4—42no—
219C32×D4—416no—
220C2×C32×C4—28no—
221C2×C32×C4—24no—
222C2×C32×C4C22×D318yes—
223C2×C32×C4C22×D314yes—
224C2×C32×C4C23×C312yes—
225C2×C32×C4C23×C311yescharacteristic
226#638—22no—
227#638—22no—
228#638—24no—
229#638—24no—
230#638—42no—
231#638—42no—
232C2×C3⋊Dic3—22no—
233C2×C3⋊Dic3C3×D414yescomplemented
234C2×C3⋊Dic3C23×C312yes—
235C2×C3⋊Dic3C23×C311yescharacteristic
236C2×C3⋊Dic3C23×C311yescharacteristic
237C2×C3⋊Dic3C23×C311yescharacteristic
238C4⋊(C3⋊D3)—42no—
239C4×C3⋊D3—22no—
240#634—22no—
241C3×#67—68no—
242C3×#67—616no—
243C3×#67—616no—
244C3×#67—68no—
245C3×#67—128no—
246C3×#67—128no—
247C2×C3×Dic3—316no—
248C2×C3×Dic3—34no—
249C2×C3×Dic3—34no—
250C2×C3×Dic3—38no—
251C2×C3×Dic3—34no—
252C2×C3×Dic3—68no—
253C3×D12—128no—
254C3×C4×D3—68no—
255C3×Dic6—68no—
256#535—91noSylow
257C2×C33—22no—
258C2×C33—42no—
259C2×C33—41no—
260C2×C33C22×D411yescharacteristic
261C2×C33H(5,𝔽2)12yes—
262C3×C3⋊D3—41no—
263C3×C3⋊D3—42no—
264C24×C3—24no—
265C24×C3—91no—
266C24×C3C2×C3×D314yes—
267C24×C3C2×C3⋊D311yescharacteristic
268C23×D3—34no—
269C3×#41—184no—
270C2×C3×Q8—91no—
271C2×C3×D4—24no—
272C2×C3×D4—28no—
273C2×C3×D4—91no—
274C2×C3×D4—92no—
275C2×C3×D4—92no—
276C2×C3×D4—91no—
277C2×C3×D4—92no—
278C2×C3×D4—92no—
279C2×C3×D4—92no—
280C2×C3×D4—184no—
281C2×C3×D4C2×C3×D314yes—
282C2×C3×D4C2×C3×D318yescomplemented
283C2×C3×D4C2×C3⋊D311yescharacteristic
284C2×C3×D4C2×C3⋊D312yescomplemented
285C22×C3×C4—91no—
286C22×C3×C4—91no—
287C22×C3×C4—91no—
288C2×#67—34no—
289C2×#67—38no—
290C2×#67—38no—
291C2×#67—34no—
292C2×#67—38no—
293C2×#67—38no—
294C2×#67—616no—
295C22×Dic3—34no—
296C22×Dic3—34no—
297#237—616no—
298C2×D12—38no—
299C2×C4×D3—34no—
300C2×Dic6—34no—
301C3×C4⋊C4—92no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—28no—
304C3×C22⋊C4—91no—
305C3×C22⋊C4—92no—
306C3×C22⋊C4—92no—
307C3×C22⋊C4—92no—
308C3×C22⋊C4C2×C3×D314yes—
309C3×C22⋊C4C2×C3×D318yescomplemented
310C3×C22⋊C4C2×C3⋊D311yescharacteristic
311C3×C22⋊C4C2×C3⋊D312yescomplemented
312C3×C42—92no—
313#217—34no—
314#217—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317Dic3⋊C4—38no—
318C4×Dic3—38no—
319C22×C32—22no—
320C22×C32—216no—
321C22×C32—28no—
322C22×C32—21no—
323C22×C32—22no—
324C22×C32—22no—
325C22×C32—22no—
326C22×C32—22no—
327C22×C32—24no—
328C22×C32—28no—
329C22×C32—28no—
330C22×C32—24no—
331C22×C32—28no—
332C22×C32—28no—
333C22×C32—28no—
334C22×C32—48no—
335C22×C32—48no—
336C22×C32—48no—
337C22×C32—44no—
338C22×C32—48no—
339C22×C32—44no—
340C22×C32—416no—
341C22×C32—432no—
342C22×C32D3×D418yes—
343C22×C32C2×C3×D412yes—
344C22×C32C23×D314yes—
345C22×C32C24×C311yescharacteristic
346C2×C3⋊D3—21no—
347C2×C3⋊D3—22no—
348C2×C3⋊D3—22no—
349C2×C3⋊D3—22no—
350C2×C3⋊D3—22no—
351C2×C3⋊D3—44no—
352C2×C3×D3—64no—
353C2×C3×D3—68no—
354C2×C3×D3—68no—
355C2×C3×D3—68no—
356C2×C3×D3—68no—
357C2×C3×D3—1216no—
358C32×C4—21no—
359C32×C4—22no—
360C32×C4—24no—
361C32×C4—28no—
362C32×C4—44no—
363C32×C4—48no—
364C3⋊Dic3—21no—
365C3⋊Dic3—22no—
366C3⋊Dic3C2×C3×D412yes—
367C3⋊Dic3C2×C3×D412yes—
368C3×Dic3—38no—
369C3×Dic3—38no—
370C3×Dic3—64no—
371C3×Dic3—68no—
372C2×#41—91no—
373C22×D4—91no—
374#127—92no—
375#124—92no—
376#121—92no—
377#121—92no—
378#120—91no—
379#120—91no—
380#120—91no—
381#120C3×C3⋊D311yescharacteristic, complemented
382#117—91no—
383C33#53511yescharacteristic, complemented, Sylow
384C23×C3—28no—
385C23×C3—22no—
386C23×C3—28no—
387C23×C3—24no—
388C23×C3—24no—
389C23×C3—48no—
390C23×C3—48no—
391C23×C3—42no—
392C23×C3—416no—
393C23×C3—92no—
394C23×C3—91no—
395C23×C3—182no—
396C23×C3—362no—
397C23×C3C22×C3×D318yes—
398C23×C3C22×C3×D314yes—
399C23×C3C22×C3×D314yes—
400C23×C3C22×C3⋊D312yes—
401C23×C3C22×C3⋊D311yescharacteristic
402C23×C3C22×C3⋊D311yescharacteristic
403C22×D3—38no—
404C22×D3—34no—
405C22×D3—68no—
406C22×D3—128no—
407C3×Q8—182no—
408C3×D4—28no—
409C3×D4—22no—
410C3×D4—48no—
411C3×D4—48no—
412C3×D4—42no—
413C3×D4—416no—
414C3×D4—184no—
415C3×D4—184no—
416C3×D4—182no—
417C3×D4—182no—
418C3×D4—362no—
419C3×D4—362no—
420C3×D4—362no—
421C2×C3×C4—28no—
422C2×C3×C4—24no—
423C2×C3×C4—91no—
424C2×C3×C4—91no—
425C2×C3×C4—94no—
426C2×C3×C4—92no—
427C2×C3×C4—91no—
428C2×C3×C4—182no—
429C2×C3×C4—182no—
430C2×C3×C4C22×C3×D318yes—
431C2×C3×C4C22×C3×D314yes—
432C2×C3×C4C22×C3⋊D312yes—
433C2×C3×C4C22×C3⋊D311yescharacteristic
434#67—68no—
435#67—616no—
436#67—616no—
437#67—68no—
438#67—128no—
439#67—128no—
440C2×Dic3—34no—
441C2×Dic3—34no—
442C2×Dic3—316no—
443C2×Dic3—38no—
444C2×Dic3—34no—
445C2×Dic3—68no—
446D12—128no—
447C4×D3—68no—
448Dic6—68no—
449C2×C32—22no—
450C2×C32—24no—
451C2×C32—28no—
452C2×C32—28no—
453C2×C32—48no—
454C2×C32—416no—
455C2×C32—48no—
456C2×C32—41no—
457C2×C32—42no—
458C2×C32—44no—
459C2×C32—84no—
460C2×C32C2×D3×D414yes—
461C2×C32#100418yes—
462C2×C32C22×C3×D411yescharacteristic
463C2×C32C3×H(5,𝔽2)12yes—
464C3⋊D3—41no—
465C3⋊D3—42no—
466C3×D3—124no—
467C3×D3—128no—
468C24—91no—
469C24C2×C3×C3⋊D311yescharacteristic
470#41—184no—
471C2×Q8—91no—
472C2×D4—91no—
473C2×D4—92no—
474C2×D4—92no—
475C2×D4—91no—
476C2×D4—92no—
477C2×D4—92no—
478C2×D4—92no—
479C2×D4—184no—
480C2×D4C2×C3×C3⋊D311yescharacteristic
481C2×D4C2×C3×C3⋊D312yescomplemented
482C22×C4—91no—
483C22×C4—91no—
484C22×C4—91no—
485C4⋊C4—92no—
486C22⋊C4—91no—
487C22⋊C4—92no—
488C22⋊C4—92no—
489C22⋊C4—92no—
490C22⋊C4C2×C3×C3⋊D311yescharacteristic
491C22⋊C4C2×C3×C3⋊D312yescomplemented
492C42—92no—
493C22×C3—28no—
494C22×C3—22no—
495C22×C3—216no—
496C22×C3—24no—
497C22×C3—28no—
498C22×C3—28no—
499C22×C3—28no—
500C22×C3—28no—
501C22×C3—21no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—22no—
505C22×C3—22no—
506C22×C3—24no—
507C22×C3—28no—
508C22×C3—48no—
509C22×C3—48no—
510C22×C3—48no—
511C22×C3—44no—
512C22×C3—48no—
513C22×C3—416no—
514C22×C3—44no—
515C22×C3—432no—
516C22×C3—181no—
517C22×C3—182no—
518C22×C3—182no—
519C22×C3—182no—
520C22×C3—182no—
521C22×C3—364no—
522C22×C3C3×D3×D418yes—
523C22×C3D4×C3⋊D312yes—
524C22×C3C23×C3×D314yes—
525C22×C3C23×C3⋊D311yescharacteristic
526C2×D3—64no—
527C2×D3—68no—
528C2×D3—68no—
529C2×D3—68no—
530C2×D3—68no—
531C2×D3—1216no—
532C3×C4—24no—
533C3×C4—28no—
534C3×C4—21no—
535C3×C4—22no—
536C3×C4—44no—
537C3×C4—48no—
538C3×C4—92no—
539C3×C4—92no—
540C3×C4—181no—
541C3×C4—182no—
542Dic3—38no—
543Dic3—38no—
544Dic3—64no—
545Dic3—68no—
546C32—24no—
547C32#559214yescomplemented
548C32C3×#53511yescharacteristic, complemented
549C23—22no—
550C23—42no—
551C23—92no—
552C23—91no—
553C23—182no—
554C23—362no—
555C23C22×C3×C3⋊D312yes—
556C23C22×C3×C3⋊D311yescharacteristic
557C23C22×C3×C3⋊D311yescharacteristic
558Q8—182no—
559D4—22no—
560D4—42no—
561D4—184no—
562D4—184no—
563D4—182no—
564D4—182no—
565D4—362no—
566D4—362no—
567D4—362no—
568C2×C4—91no—
569C2×C4—91no—
570C2×C4—94no—
571C2×C4—92no—
572C2×C4—91no—
573C2×C4—182no—
574C2×C4—182no—
575C2×C4C22×C3×C3⋊D312yes—
576C2×C4C22×C3×C3⋊D311yescharacteristic
577C2×C3—28no—
578C2×C3—22no—
579C2×C3—24no—
580C2×C3—28no—
581C2×C3—48no—
582C2×C3—416no—
583C2×C3—48no—
584C2×C3—44no—
585C2×C3—42no—
586C2×C3—41no—
587C2×C3—84no—
588C2×C3—362no—
589C2×C3—361no—
590C2×C3C2×C3×D3×D414yes—
591C2×C3C3×#100418yes—
592C2×C3C2×D4×C3⋊D311yescharacteristic
593C2×C3#6436112yes—
594D3—128no—
595D3—124no—
596C22—22no—
597C22—21no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—22no—
602C22—44no—
603C22—181no—
604C22—182no—
605C22—182no—
606C22—182no—
607C22—182no—
608C22—364no—
609C22C3×D4×C3⋊D312yes—
610C22C23×C3×C3⋊D311yescharacteristic
611C4—21no—
612C4—22no—
613C4—92no—
614C4—92no—
615C4—181no—
616C4—182no—
617C3—24no—
618C3C3×#559214yescomplemented
619C3#1059606311yescharacteristic, direct product factor
620C2—22no—
621C2—42no—
622C2—41no—
623C2—362no—
624C2—361no—
625C2C2×C3×D4×C3⋊D311yescharacteristic
626C2C3×#6436112yes—
subgroupG/H
centerC22×C3C23×C3⋊D3
commutator, cosocleC22×C32C24×C3
FrattiniC22C23×C3×C3⋊D3
FittingC33×#120C2
socleC22×C33C24
hypercenterC3×#120C3⋊D3
hypocenterC32C3×#535
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C3×#120

Complements

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

NH ≅ G/Ntype
1. C22×C3×#638C2semidirect
2. C2×C3×#3830C2semidirect
3. C33×#120C2semidirect
4. C3×#64162C2semidirect
5. C3×#64149C2semidirect
6. C3×#64148C2semidirect
7. C3×#64146C2semidirect
8. C3×#64094C2semidirect
9. C3×#64093C2semidirect
10. C3×#64091C2semidirect
11. C3×#64086C2semidirect
12. #10596063C3direct (N × H)
17. C2×C33×D4C22semidirect
22. C2×C3×#638C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×#638C22semidirect
26. C22×C3×C3⋊Dic3C22semidirect
28. C2×C3×C4⋊(C3⋊D3)C22semidirect
29. C2×C3×C4×C3⋊D3C22semidirect
30. C2×C3×#634C22semidirect
32. C33×C22⋊C4C22semidirect
34. C3×#3757C22semidirect
35. C3×#3752C22semidirect
36. C3×#3752C22semidirect
37. C3×#3750C22semidirect
38. C3×C4×C3⋊Dic3C22semidirect
39. C22×#638C2×C3semidirect
40. C2×#3830C2×C3semidirect
44. C32×#120D3semidirect
45. C32×#120C2×C3semidirect
46. #64162C2×C3semidirect
47. #64149C2×C3semidirect
48. #64148C2×C3semidirect
49. #64146C2×C3semidirect
50. #64094C2×C3semidirect
51. #64093C2×C3semidirect
52. #64091C2×C3semidirect
53. #64086C2×C3semidirect
82. C2×C3×C3⋊Dic3D4semidirect
100. C2×C32×D4C2×D3semidirect
102. C2×C32×D4C22×C3semidirect
107. C2×#638C22×C3semidirect
108. C2×#638C22×C3semidirect
109. C2×#638C22×C3semidirect
111. C22×C3⋊Dic3C22×C3semidirect
113. C2×C4⋊(C3⋊D3)C22×C3semidirect
114. C2×C4×C3⋊D3C22×C3semidirect
115. C2×#634C22×C3semidirect
132. C32×C22⋊C4C2×D3semidirect
134. C32×C22⋊C4C22×C3semidirect
136. #3757C22×C3semidirect
137. #3752C22×C3semidirect
138. #3752C22×C3semidirect
139. #3750C22×C3semidirect
140. C4×C3⋊Dic3C22×C3semidirect
180. C3×#120C3×D3semidirect
181. C3×#120C3⋊D3semidirect
233. C2×C3⋊Dic3C3×D4semidirect
282. C2×C3×D4C2×C3×D3semidirect
284. C2×C3×D4C2×C3⋊D3semidirect
309. C3×C22⋊C4C2×C3×D3semidirect
311. C3×C22⋊C4C2×C3⋊D3semidirect
381. #120C3×C3⋊D3semidirect
383. C33#535semidirect
481. C2×D4C2×C3×C3⋊D3semidirect
491. C22⋊C4C2×C3×C3⋊D3semidirect
547. C32#5592semidirect
548. C32C3×#535semidirect
618. C3C3×#5592semidirect
619. C3#10596063direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6382
C2×C3×#38302
C33×#1202
C3×#641622
C3×#641492
C3×#641482
C3×#641462
C3×#640942
C3×#640932
C3×#640912
C3×#640862
#105960633
C3×#55923