Finite Group Databasebeta

← C3×#76666 #11808369

Subgroups — C3×#76666 #11808369

Order 1152.

1553 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×Dic3C212yesmaximal, complemented
2C2×C3×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#877C211yesmaximal, characteristic, complemented
4C32×#392C211yesmaximal, characteristic
5C3×#5222C212yesmaximal, complemented
6C3×#5222C211yesmaximal, characteristic, complemented
7C3×#4953C211yesmaximal, characteristic, complemented
8C3×#4948C212yesmaximal, complemented
9C3×Dic3×C22⋊C4C212yesmaximal, complemented
10C3×#4661C211yesmaximal, characteristic, complemented
11C3×#4649C211yesmaximal, characteristic, complemented
12C3×#2392—31nomaximal
13#76666C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2212yes—
15C22×C32×D4C2211yescharacteristic
16C23×C3×Dic3C2212yes—
17C23×C3×Dic3C2211yescharacteristic
18C2×C32×C22⋊C4C2212yes—
19C2×C32×C22⋊C4C2211yescharacteristic
20C2×C3×#217C2212yes—
21C2×C3×#217C2212yes—
22C2×C3×#217C2212yes—
23C2×C3×#217C2212yes—
24C2×C3×#217C2211yescharacteristic
25C3×D4×Dic3—28no—
26C3×D4×Dic3—24no—
27C2×C3×C4⋊Dic3C2212yes—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2211yescharacteristic
31C2×C3×Dic3⋊C4C2211yescharacteristic
32C2×C3×C4×Dic3C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C2×C3×C4×Dic3C2211yescharacteristic
35C3×#877—24no—
36C32×#95C2211yescharacteristic
37C3×C3⋊#95C2211yescharacteristic
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×C4×D4—31no—
41C2×C3×C4×D4—32no—
42C2×C3×#117—31no—
43C2×D4×Dic3C2×C312yescomplemented
44C2×D4×Dic3C2×C311yescharacteristic, complemented
45C2×#877C2×C311yescharacteristic, complemented
46C3×#398—31no—
47C3×#397—31no—
48C3×#396—32no—
49C3×#394—32no—
50C3×#394—31no—
51C3×#392—21no—
52C3×#392D311yescharacteristic
53C3×#392C2×C311yescharacteristic
54C3×C4×C4⋊C4—31no—
55C3×C4×C22⋊C4—32no—
56#5222C2×C311yescharacteristic, complemented
57#5222C2×C312yescomplemented
58#4953C2×C311yescharacteristic, complemented
59#4948C2×C312yescomplemented
60Dic3×C22⋊C4C2×C312yescomplemented
61#4661C2×C311yescharacteristic, complemented
62#4649C2×C311yescharacteristic, complemented
63C24×C32C2311yescharacteristic
64C24×C32C2312yes—
65C2×C32×D4—24no—
66C2×C32×D4—24no—
67C2×C32×D4—24no—
68C2×C32×D4—22no—
69C2×C32×D4—24no—
70C22×C32×C4C2311yescharacteristic
71C22×C32×C4C2311yescharacteristic
72C22×C32×C4C2312yes—
73C22×C3×Dic3—22no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3—24no—
76C22×C3×Dic3—24no—
77C22×C3×Dic3—24no—
78C22×C3×Dic3D414yescomplemented
79C22×C3×Dic3C2311yescharacteristic
80C22×C3×Dic3C2312yes—
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2311yescharacteristic
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C32×C22⋊C4—22no—
86C32×C22⋊C4—24no—
87C3×#217—24no—
88C3×#217—24no—
89C3×#217—22no—
90C3×#217—24no—
91C3×#217—24no—
92C3×C4⋊Dic3—22no—
93C3×C4⋊Dic3—24no—
94C3×Dic3⋊C4—22no—
95C3×Dic3⋊C4—24no—
96C3×Dic3⋊C4—22no—
97C3×C4×Dic3—22no—
98C3×C4×Dic3—24no—
99C3×C4×Dic3D414yescomplemented
100#2392—31noSylow
101C22×C3×D4—21no—
102C22×C3×D4—22no—
103C22×C3×D4C2×D311yescharacteristic
104C22×C3×D4C2×D312yes—
105C22×C3×D4C22×C311yescharacteristic
106C22×C3×D4C22×C312yes—
107C23×C3×C4—31no—
108C23×C3×C4—32no—
109C23×Dic3C22×C312yes—
110C23×Dic3C22×C311yescharacteristic
111C3×C4×D4—64no—
112C3×C4×D4—68no—
113C3×#117—64no—
114C2×C3×C4⋊C4—32no—
115C2×C3×C4⋊C4—31no—
116C2×C3×C4⋊C4—31no—
117C2×C3×C4⋊C4—32no—
118C2×C3×C4⋊C4—31no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—22no—
121C2×C3×C22⋊C4—32no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—32no—
125C2×C3×C22⋊C4—32no—
126C2×C3×C22⋊C4C2×D312yes—
127C2×C3×C22⋊C4C2×D311yescharacteristic
128C2×C3×C22⋊C4C22×C312yes—
129C2×C3×C22⋊C4C22×C311yescharacteristic
130C2×C3×C42—31no—
131C2×C3×C42—31no—
132C2×C3×C42—32no—
133C2×#217C22×C312yes—
134C2×#217C22×C312yes—
135C2×#217C22×C312yes—
136C2×#217C22×C312yes—
137C2×#217C22×C311yescharacteristic
138D4×Dic3—28no—
139D4×Dic3—24no—
140C2×C4⋊Dic3C22×C312yes—
141C2×C4⋊Dic3C22×C311yescharacteristic
142C2×Dic3⋊C4C22×C312yes—
143C2×Dic3⋊C4C22×C311yescharacteristic
144C2×Dic3⋊C4C22×C311yescharacteristic
145C2×C4×Dic3C22×C312yes—
146C2×C4×Dic3C22×C311yescharacteristic
147C2×C4×Dic3C22×C311yescharacteristic
148#877—24no—
149C3×#95—21no—
150C3×#95—32no—
151C3×#95—32no—
152C3×#95—31no—
153C3×#95C2×D311yescharacteristic
154C3×#95C22×C311yescharacteristic
155C3⋊#95C22×C311yescharacteristic
156C3⋊#95C22×C312yes—
157C3⋊#95C22×C312yes—
158C23×C32—21no—
159C23×C32—22no—
160C23×C32—22no—
161C23×C32—22no—
162C23×C32—21no—
163C23×C32—22no—
164C23×C32—22no—
165C23×C32—22no—
166C23×C32—22no—
167C23×C32—22no—
168C23×C32C2×D412yes—
169C23×C32#4114yes—
170C23×C32C2411yescharacteristic
171C32×D4—28no—
172C32×D4—216no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—21no—
177C2×C32×C4—22no—
178C2×C32×C4C2×D412yes—
179C2×C32×C4#4114yes—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—21no—
183C2×C3×Dic3—28no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—48no—
193C2×C3×Dic3C2×D412yes—
194C2×C3×Dic3C2×D412yes—
195C2×C3×Dic3C2×D412yes—
196C2×C3×Dic3C2×D412yes—
197C2×C3×Dic3#4112yes—
198C2×C4×D4—31no—
199C2×C4×D4—32no—
200C2×#117—31no—
201#398—31no—
202#397—31no—
203#396—32no—
204#394—32no—
205#394—31no—
206#392C3×D311yescharacteristic
207C4×C4⋊C4—31no—
208C4×C22⋊C4—32no—
209C24×C3—21no—
210C24×C3—22no—
211C24×C3C22×D311yescharacteristic
212C24×C3C22×D312yes—
213C24×C3C23×C311yescharacteristic
214C24×C3C23×C312yes—
215C2×C3×D4—24no—
216C2×C3×D4—24no—
217C2×C3×D4—24no—
218C2×C3×D4—24no—
219C2×C3×D4—24no—
220C2×C3×D4—24no—
221C2×C3×D4—22no—
222C2×C3×D4—24no—
223C2×C3×D4—22no—
224C2×C3×D4—24no—
225C2×C3×D4—42no—
226C2×C3×D4—44no—
227C2×C3×D4—44no—
228C2×C3×D4—44no—
229C2×C3×D4—44no—
230C22×C3×C4—21no—
231C22×C3×C4—22no—
232C22×C3×C4—21no—
233C22×C3×C4—31no—
234C22×C3×C4—34no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—31no—
239C22×C3×C4—32no—
240C22×C3×C4—62no—
241C22×C3×C4—62no—
242C22×C3×C4—64no—
243C22×C3×C4—64no—
244C22×C3×C4—64no—
245C22×C3×C4C22×D311yescharacteristic
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C22×D312yes—
248C22×C3×C4C23×C311yescharacteristic
249C22×C3×C4C23×C311yescharacteristic
250C22×C3×C4C23×C312yes—
251C22×Dic3—22no—
252C22×Dic3—22no—
253C22×Dic3—24no—
254C22×Dic3—24no—
255C22×Dic3—24no—
256C22×Dic3C3×D414yescomplemented
257C22×Dic3C23×C311yescharacteristic
258C22×Dic3C23×C312yes—
259C22×Dic3C23×C312yes—
260C22×Dic3C23×C311yescharacteristic
261C22×Dic3C23×C311yescharacteristic
262C22×Dic3C23×C311yescharacteristic
263C3×C4⋊C4—62no—
264C3×C4⋊C4—64no—
265C3×C4⋊C4—62no—
266C3×C4⋊C4—62no—
267C3×C4⋊C4—64no—
268C3×C22⋊C4—22no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—44no—
274C3×C22⋊C4—62no—
275C3×C22⋊C4—64no—
276C3×C22⋊C4—64no—
277C3×C22⋊C4—64no—
278C3×C22⋊C4—64no—
279C3×C42—34no—
280C3×C42—62no—
281C3×C42—64no—
282#217—24no—
283#217—24no—
284#217—22no—
285#217—24no—
286#217—24no—
287C4⋊Dic3—22no—
288C4⋊Dic3—24no—
289Dic3⋊C4—22no—
290Dic3⋊C4—24no—
291Dic3⋊C4—22no—
292C4×Dic3—22no—
293C4×Dic3—24no—
294C4×Dic3C3×D414yescomplemented
295C22×C32—22no—
296C22×C32—24no—
297C22×C32—24no—
298C22×C32—24no—
299C22×C32—24no—
300C22×C32—42no—
301C22×C32—41no—
302C22×C32—42no—
303C22×C32—42no—
304C22×C32—42no—
305C22×C32—41no—
306C22×C32—42no—
307C22×C32C22×D411yescharacteristic
308C22×C32C22×D411yescharacteristic
309C22×C32C2×#4112yes—
310C22×C32C2×#4112yes—
311C22×C32C2×#4111yescharacteristic
312C32×C4—22no—
313C32×C4—24no—
314C32×C4—41no—
315C3×Dic3—22no—
316C3×Dic3—22no—
317C3×Dic3—42no—
318C3×Dic3—41no—
319C3×Dic3—42no—
320C3×Dic3#12114yes—
321C22×D4C2×C3×D311yescharacteristic
322C22×D4C2×C3×D312yes—
323C23×C4—31no—
324C23×C4—32no—
325C4×D4—64no—
326C4×D4—68no—
327#117—64no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—31no—
332C2×C4⋊C4—32no—
333C2×C22⋊C4—31no—
334C2×C22⋊C4—32no—
335C2×C22⋊C4—32no—
336C2×C22⋊C4—32no—
337C2×C22⋊C4—32no—
338C2×C22⋊C4C2×C3×D311yescharacteristic
339C2×C22⋊C4C2×C3×D312yes—
340C2×C42—31no—
341C2×C42—31no—
342C2×C42—32no—
343#95—32no—
344#95—32no—
345#95—31no—
346#95C2×C3×D311yescharacteristic
347C23×C3—21no—
348C23×C3—22no—
349C23×C3—22no—
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—22no—
355C23×C3—22no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—22no—
359C23×C3—22no—
360C23×C3—22no—
361C23×C3—21no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—21no—
368C23×C3—22no—
369C23×C3—24no—
370C23×C3—41no—
371C23×C3—42no—
372C23×C3—42no—
373C23×C3—42no—
374C23×C3—42no—
375C23×C3—42no—
376C23×C3—42no—
377C23×C3—42no—
378C23×C3—42no—
379C23×C3—41no—
380C23×C3D3×D412yes—
381C23×C3#23714yes—
382C23×C3C2×C3×D412yes—
383C23×C3C3×#4114yes—
384C23×C3C23×D311yescharacteristic
385C23×C3C24×C311yescharacteristic
386C3×D4—28no—
387C3×D4—216no—
388C3×D4—28no—
389C3×D4—216no—
390C3×D4—48no—
391C3×D4—416no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—21no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—24no—
404C2×C3×C4—32no—
405C2×C3×C4—32no—
406C2×C3×C4—32no—
407C2×C3×C4—32no—
408C2×C3×C4—32no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—41no—
413C2×C3×C4—42no—
414C2×C3×C4—68no—
415C2×C3×C4—61no—
416C2×C3×C4—62no—
417C2×C3×C4—61no—
418C2×C3×C4—62no—
419C2×C3×C4—61no—
420C2×C3×C4—62no—
421C2×C3×C4—62no—
422C2×C3×C4—62no—
423C2×C3×C4—62no—
424C2×C3×C4—62no—
425C2×C3×C4—62no—
426C2×C3×C4—128no—
427C2×C3×C4D3×D412yes—
428C2×C3×C4#23714yes—
429C2×C3×C4C2×C3×D412yes—
430C2×C3×C4C3×#4114yes—
431C2×Dic3—21no—
432C2×Dic3—22no—
433C2×Dic3—21no—
434C2×Dic3—28no—
435C2×Dic3—21no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—48no—
444C2×Dic3C2×C3×D412yes—
445C2×Dic3C2×C3×D412yes—
446C2×Dic3C2×C3×D412yes—
447C2×Dic3C2×C3×D412yes—
448C2×Dic3C3×#4112yes—
449C2×C32—42no—
450C2×C32—44no—
451C2×C32C2×#12111yescharacteristic
452C2×C32#52511yescharacteristic
453C2×C32#52512yes—
454C2×C32#52912yes—
455C2×C32#53211yescharacteristic
456C24C22×C3×D311yescharacteristic
457C24C22×C3×D312yes—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—24no—
461C2×D4—22no—
462C2×D4—24no—
463C22×C4—31no—
464C22×C4—31no—
465C22×C4—31no—
466C22×C4—34no—
467C22×C4—32no—
468C22×C4—31no—
469C22×C4—32no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—64no—
473C22×C4—64no—
474C22×C4—64no—
475C22×C4C22×C3×D311yescharacteristic
476C22×C4C22×C3×D311yescharacteristic
477C22×C4C22×C3×D312yes—
478C4⋊C4—62no—
479C4⋊C4—64no—
480C4⋊C4—62no—
481C4⋊C4—62no—
482C4⋊C4—64no—
483C22⋊C4—22no—
484C22⋊C4—24no—
485C22⋊C4—62no—
486C22⋊C4—64no—
487C22⋊C4—64no—
488C22⋊C4—64no—
489C22⋊C4—64no—
490C42—34no—
491C42—62no—
492C42—64no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—22no—
497C22×C3—24no—
498C22×C3—24no—
499C22×C3—24no—
500C22×C3—24no—
501C22×C3—24no—
502C22×C3—22no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—22no—
506C22×C3—22no—
507C22×C3—21no—
508C22×C3—44no—
509C22×C3—44no—
510C22×C3—44no—
511C22×C3—44no—
512C22×C3—42no—
513C22×C3—41no—
514C22×C3—42no—
515C22×C3—41no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3—41no—
519C22×C3—42no—
520C22×C3—42no—
521C22×C3—42no—
522C22×C3—42no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—41no—
526C22×C3—42no—
527C22×C3—81no—
528C22×C3—82no—
529C22×C3—82no—
530C22×C3—82no—
531C22×C3—82no—
532C22×C3—81no—
533C22×C3—82no—
534C22×C3C2×D3×D411yescharacteristic
535C22×C3C2×D3×D411yescharacteristic
536C22×C3C2×#23712yes—
537C22×C3C2×#23712yes—
538C22×C3D3×#4111yescharacteristic
539C22×C3C22×C3×D411yescharacteristic
540C22×C3C22×C3×D411yescharacteristic
541C22×C3C2×C3×#4112yes—
542C22×C3C2×C3×#4112yes—
543C22×C3C2×C3×#4111yescharacteristic
544C3×C4—22no—
545C3×C4—24no—
546C3×C4—22no—
547C3×C4—24no—
548C3×C4—34no—
549C3×C4—42no—
550C3×C4—44no—
551C3×C4—41no—
552C3×C4—41no—
553C3×C4—62no—
554C3×C4—62no—
555C3×C4—81no—
556C3×C4—122no—
557C3×C4—121no—
558C3×C4—122no—
559Dic3—22no—
560Dic3—22no—
561Dic3—42no—
562Dic3—41no—
563Dic3—42no—
564Dic3C3×#12114yes—
565C32#239211yescharacteristic, complemented, Sylow
566C23—21no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—21no—
576C23C3×D3×D412yes—
577C23C3×#23714yes—
578C23C23×C3×D311yescharacteristic
579D4—28no—
580D4—216no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—32no—
587C2×C4—32no—
588C2×C4—32no—
589C2×C4—32no—
590C2×C4—32no—
591C2×C4—68no—
592C2×C4—61no—
593C2×C4—62no—
594C2×C4—61no—
595C2×C4—62no—
596C2×C4—61no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—128no—
604C2×C4C3×D3×D412yes—
605C2×C4C3×#23714yes—
606C2×C3—21no—
607C2×C3—22no—
608C2×C3—22no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—42no—
612C2×C3—44no—
613C2×C3—42no—
614C2×C3—44no—
615C2×C3—82no—
616C2×C3—84no—
617C2×C3#558611yescharacteristic
618C2×C3#558612yes—
619C2×C3#560012yes—
620C2×C3D3×#12111yescharacteristic
621C2×C3#571611yescharacteristic
622C2×C3C2×C3×#12111yescharacteristic
623C2×C3C3×#52511yescharacteristic
624C2×C3C3×#52512yes—
625C2×C3C3×#52912yes—
626C2×C3C3×#53211yescharacteristic
627C22—24no—
628C22—24no—
629C22—24no—
630C22—24no—
631C22—22no—
632C22—41no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—41no—
638C22—42no—
639C22C2×C3×D3×D411yescharacteristic
640C22C2×C3×D3×D411yescharacteristic
641C22C2×C3×#23712yes—
642C22C2×C3×#23712yes—
643C22C3×D3×#4111yescharacteristic
644C4—22no—
645C4—24no—
646C4—34no—
647C4—41no—
648C4—62no—
649C4—62no—
650C4—122no—
651C4—121no—
652C4—122no—
653C3—21no—
654C3#7666611yescharacteristic, direct product factor
655C3C3×#239211yescharacteristic, complemented
656C2—42no—
657C2—44no—
658C2C3×#558611yescharacteristic
659C2C3×#558612yes—
660C2C3×#560012yes—
661C2C3×D3×#12111yescharacteristic
662C2C3×#571611yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutator, cosocleC23×C3C24×C3
FrattiniC23C23×C3×D3
Fitting, prime radicalC32×#392C2
socleC23×C32C24
hypercenterC3×#392D3
hypocenterC3C3×#2392
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#392

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×Dic3C2semidirect
2. C2×C3×D4×Dic3C2semidirect
3. C2×C3×#877C2semidirect
5. C3×#5222C2semidirect
6. C3×#5222C2semidirect
7. C3×#4953C2semidirect
8. C3×#4948C2semidirect
9. C3×Dic3×C22⋊C4C2semidirect
10. C3×#4661C2semidirect
11. C3×#4649C2semidirect
13. #76666C3direct (N × H)
43. C2×D4×Dic3C2×C3semidirect
44. C2×D4×Dic3C2×C3semidirect
45. C2×#877C2×C3semidirect
56. #5222C2×C3semidirect
57. #5222C2×C3semidirect
58. #4953C2×C3semidirect
59. #4948C2×C3semidirect
60. Dic3×C22⋊C4C2×C3semidirect
61. #4661C2×C3semidirect
62. #4649C2×C3semidirect
78. C22×C3×Dic3D4semidirect
99. C3×C4×Dic3D4semidirect
256. C22×Dic3C3×D4semidirect
294. C4×Dic3C3×D4semidirect
565. C32#2392semidirect
654. C3#76666direct (N × H)
655. C3C3×#2392semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×Dic32
C2×C3×#8772
C32×#3922
C3×#52222
C3×#49532
C3×#49482
C3×Dic3×C22⋊C42
C3×#46612
C3×#46492
C3×#23923
#766663