Finite Group Databasebeta

← C3×#73871 #11803443

Subgroups — C3×#73871 #11803443

Order 1152.

1229 conjugacy classes of subgroups.

The subgroup lattice has 641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#926C211yesmaximal, characteristic
2C2×C3×#924C211yesmaximal, characteristic
3C2×C3×#887C211yesmaximal, characteristic, complemented
4C32×#380C211yesmaximal, characteristic
5C3×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
6C3×#4973C211yesmaximal, characteristic, complemented
7C3×#4972C211yesmaximal, characteristic, complemented
8C3×#4945C212yesmaximal
9C3×#4944C212yesmaximal
10C3×#4655C212yesmaximal, complemented
11C3×#4647C212yesmaximal, complemented
12C3×#2323—31nomaximal
13#73871C311yesmaximal, characteristic, direct product factor
14C23×C32×C4C2211yescharacteristic
15C22×C3×Dic6C2211yescharacteristic
16C2×C32×C4⋊C4C2211yescharacteristic
17C2×C32×C4⋊C4C2211yescharacteristic
18C2×C32×C22⋊C4C2212yes—
19C2×C3×#217C2211yescharacteristic
20C2×C3×#217C2211yescharacteristic
21C2×C3×#217C2212yes—
22C3×#926—24no—
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C3×#924C418yescomplemented
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×C4×Dic3C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C3×#887—24no—
35C32×#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×C22⋊Q8—31no—
41C2×C3×C4×Q8—31no—
42C2×C3×#117—31no—
43C2×#926C2×C311yescharacteristic
44C2×#924C2×C311yescharacteristic
45C2×#887C2×C311yescharacteristic, complemented
46C3×#391—31no—
47C3×#389—31no—
48C3×#389—32no—
49C3×#388—32no—
50C3×#388—32no—
51C3×#387—32no—
52C3×#380—21no—
53C3×#380D311yescharacteristic
54C3×#380C2×C311yescharacteristic
55C3×C4×C4⋊C4—31no—
56Dic3×C4⋊C4C2×C311yescharacteristic, complemented
57#4973C2×C311yescharacteristic, complemented
58#4972C2×C311yescharacteristic, complemented
59#4945C2×C312yes—
60#4944C2×C312yes—
61#4655C2×C312yescomplemented
62#4647C2×C312yescomplemented
63C24×C32C2311yescharacteristic
64C22×C32×C4—22no—
65C22×C32×C4—22no—
66C22×C32×C4C2×C414yes—
67C22×C32×C4C2312yes—
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2311yescharacteristic
71C22×C3×Dic3C2311yescharacteristic
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2312yes—
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2311yescharacteristic
76C22×C3×Dic3C2311yescharacteristic
77C2×C3×Dic6—22no—
78C2×C3×Dic6—22no—
79C2×C3×Dic6C2×C414yes—
80C32×C4⋊C4—22no—
81C32×C4⋊C4—22no—
82C32×C22⋊C4—42no—
83C3×#217—22no—
84C3×#217—22no—
85C3×#217C2×C418yes—
86C3×C4⋊Dic3—22no—
87C3×C4⋊Dic3—22no—
88C3×C4⋊Dic3C2×C414yes—
89C3×Dic3⋊C4—24no—
90C3×Dic3⋊C4—42no—
91C3×Dic3⋊C4C2×C418yes—
92C3×C4×Dic3—22no—
93C3×C4×Dic3—24no—
94C3×C4×Dic3—42no—
95C3×C4×Dic3D414yes—
96#2323—31noSylow
97C22×C3×Q8—31no—
98C23×C3×C4—21no—
99C23×C3×C4C2×D311yescharacteristic
100C23×C3×C4C22×C311yescharacteristic
101C22×Dic6C22×C311yescharacteristic
102C3×C22⋊Q8—38no—
103C3×C4×Q8—64no—
104C3×#117—64no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—32no—
108C2×C3×C4⋊C4—31no—
109C2×C3×C4⋊C4—32no—
110C2×C3×C4⋊C4—31no—
111C2×C3×C4⋊C4—31no—
112C2×C3×C4⋊C4—32no—
113C2×C3×C4⋊C4C2×D311yescharacteristic
114C2×C3×C4⋊C4C2×D311yescharacteristic
115C2×C3×C4⋊C4C22×C311yescharacteristic
116C2×C3×C4⋊C4C22×C311yescharacteristic
117C2×C3×C22⋊C4—22no—
118C2×C3×C22⋊C4—32no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4C2×D312yes—
122C2×C3×C22⋊C4C22×C312yes—
123C2×C3×C42—31no—
124C2×C3×C42—32no—
125C2×C3×C42—31no—
126C2×C3×C42—32no—
127C2×#217C22×C311yescharacteristic
128C2×#217C22×C311yescharacteristic
129C2×#217C22×C312yes—
130#926—24no—
131C2×C4⋊Dic3C22×C311yescharacteristic
132C2×C4⋊Dic3C22×C311yescharacteristic
133C2×C4⋊Dic3C22×C311yescharacteristic
134#924C3×C418yescomplemented
135C2×Dic3⋊C4C22×C312yes—
136C2×Dic3⋊C4C22×C312yes—
137C2×Dic3⋊C4C22×C312yes—
138C2×C4×Dic3C22×C312yes—
139C2×C4×Dic3C22×C311yescharacteristic
140C2×C4×Dic3C22×C312yes—
141C2×C4×Dic3C22×C311yescharacteristic
142#887—24no—
143C3×#95—22no—
144C3×#95—32no—
145C3×#95—32no—
146C3×#95—32no—
147C3×#95—32no—
148C3×#95C2×D312yes—
149C3×#95C22×C312yes—
150C3⋊#95C22×C312yes—
151C3⋊#95C22×C312yes—
152C3⋊#95C22×C312yes—
153C3⋊#95C22×C312yes—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32C22×C412yes—
161C23×C32C2411yescharacteristic
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—28no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4—22no—
170C2×C32×C4—22no—
171C2×C32×C4C22×C412yes—
172C2×C32×C4C22×C412yes—
173C2×C32×C4C2×D412yes—
174C2×C32×C4#4112yes—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—22no—
177C2×C3×Dic3—21no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—21no—
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×C414yes—
190C2×C3×Dic3C22×C414yes—
191C2×C3×Dic3C2×D412yes—
192C2×C3×Dic3C2×D412yes—
193C3×Dic6—28no—
194C2×C22⋊Q8—31no—
195C2×C4×Q8—31no—
196C2×#117—31no—
197#391—31no—
198#389—31no—
199#389—32no—
200#388—32no—
201#388—32no—
202#387—32no—
203#380C3×D311yescharacteristic
204C4×C4⋊C4—31no—
205C24×C3—21no—
206C24×C3C22×D311yescharacteristic
207C24×C3C23×C311yescharacteristic
208C2×C3×Q8—34no—
209C2×C3×Q8—62no—
210C2×C3×Q8—62no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—24no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—31no—
221C22×C3×C4—32no—
222C22×C3×C4—32no—
223C22×C3×C4—31no—
224C22×C3×C4—31no—
225C22×C3×C4—31no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4C4×D314yes—
229C22×C3×C4C2×C3×C414yes—
230C22×C3×C4C22×D312yes—
231C22×C3×C4C22×D312yes—
232C22×C3×C4C22×D311yescharacteristic
233C22×C3×C4C22×D311yescharacteristic
234C22×C3×C4C23×C312yes—
235C22×C3×C4C23×C312yes—
236C22×C3×C4C23×C311yescharacteristic
237C22×C3×C4C23×C311yescharacteristic
238C22×Dic3C23×C311yescharacteristic
239C22×Dic3C23×C311yescharacteristic
240C22×Dic3C23×C312yes—
241C22×Dic3C23×C312yes—
242C22×Dic3C23×C311yescharacteristic
243C22×Dic3C23×C311yescharacteristic
244C2×Dic6—22no—
245C2×Dic6—22no—
246C2×Dic6C2×C3×C414yes—
247C3×C4⋊C4—22no—
248C3×C4⋊C4—22no—
249C3×C4⋊C4—22no—
250C3×C4⋊C4—22no—
251C3×C4⋊C4—38no—
252C3×C4⋊C4—34no—
253C3×C4⋊C4—42no—
254C3×C4⋊C4—42no—
255C3×C4⋊C4—64no—
256C3×C4⋊C4—62no—
257C3×C4⋊C4—62no—
258C3×C4⋊C4—122no—
259C3×C22⋊C4—38no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—44no—
263C3×C22⋊C4—62no—
264C3×C22⋊C4—62no—
265C3×C42—34no—
266C3×C42—64no—
267C3×C42—62no—
268C3×C42—122no—
269#217—22no—
270#217—22no—
271#217C2×C3×C418yes—
272C4⋊Dic3—22no—
273C4⋊Dic3—22no—
274C4⋊Dic3C2×C3×C414yes—
275Dic3⋊C4—24no—
276Dic3⋊C4—42no—
277Dic3⋊C4C2×C3×C418yes—
278C4×Dic3—22no—
279C4×Dic3—24no—
280C4×Dic3—42no—
281C4×Dic3C3×D414yes—
282C22×C32—22no—
283C22×C32—22no—
284C22×C32—22no—
285C22×C32—41no—
286C22×C32—41no—
287C22×C32—41no—
288C22×C32—41no—
289C22×C32C23×C411yescharacteristic
290C22×C32C22×D411yescharacteristic
291C22×C32C2×#4111yescharacteristic
292C22×C32H(5,𝔽2)11yescharacteristic
293C22×C322−1+411yescharacteristic
294C22×C322−1+411yescharacteristic
295C22×C322−1+411yescharacteristic
296C32×C4—22no—
297C32×C4—42no—
298C32×C4—42no—
299C32×C4C4×D414yes—
300C3×Dic3—24no—
301C3×Dic3—24no—
302C3×Dic3—22no—
303C3×Dic3—22no—
304C3×Dic3—41no—
305C3×Dic3—41no—
306C22×Q8—31no—
307C23×C4C2×C3×D311yescharacteristic
308C22⋊Q8—38no—
309C4×Q8—64no—
310#117—64no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—32no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4—31no—
315C2×C4⋊C4—32no—
316C2×C4⋊C4—32no—
317C2×C4⋊C4C2×C3×D311yescharacteristic
318C2×C4⋊C4C2×C3×D311yescharacteristic
319C2×C22⋊C4—32no—
320C2×C22⋊C4—31no—
321C2×C22⋊C4—31no—
322C2×C22⋊C4C2×C3×D312yes—
323C2×C42—31no—
324C2×C42—31no—
325C2×C42—32no—
326C2×C42—32no—
327#95—32no—
328#95—32no—
329#95—32no—
330#95—32no—
331#95C2×C3×D312yes—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—21no—
345C23×C3—21no—
346C23×C3—21no—
347C23×C3—22no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3C2×C4×D312yes—
353C23×C3C22×C3×C412yes—
354C23×C3C23×D311yescharacteristic
355C23×C3C24×C311yescharacteristic
356C3×Q8—68no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—28no—
362C2×C3×C4—28no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—34no—
380C2×C3×C4—34no—
381C2×C3×C4—32no—
382C2×C3×C4—32no—
383C2×C3×C4—48no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—62no—
393C2×C3×C4—62no—
394C2×C3×C4—61no—
395C2×C3×C4—62no—
396C2×C3×C4—62no—
397C2×C3×C4—61no—
398C2×C3×C4—61no—
399C2×C3×C4—61no—
400C2×C3×C4—61no—
401C2×C3×C4—61no—
402C2×C3×C4—61no—
403C2×C3×C4—61no—
404C2×C3×C4—61no—
405C2×C3×C4—61no—
406C2×C3×C4C2×C4×D312yes—
407C2×C3×C4C2×C4×D312yes—
408C2×C3×C4D3×D412yes—
409C2×C3×C4#23712yes—
410C2×C3×C4C22×C3×C412yes—
411C2×C3×C4C22×C3×C412yes—
412C2×C3×C4C2×C3×D412yes—
413C2×C3×C4C3×#4112yes—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3C22×C3×C414yes—
429C2×Dic3C22×C3×C414yes—
430C2×Dic3C2×C3×D412yes—
431C2×Dic3C2×C3×D412yes—
432Dic6—28no—
433C2×C32—42no—
434C2×C32C2×C4×D411yescharacteristic
435C2×C32#51911yescharacteristic
436C2×C32#52011yescharacteristic
437C2×C32#53611yescharacteristic
438C2×C32#53711yescharacteristic
439C2×C32#54111yescharacteristic
440C2×C32#54211yescharacteristic
441C24C22×C3×D311yescharacteristic
442C2×Q8—34no—
443C2×Q8—62no—
444C2×Q8—62no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—31no—
448C22×C4—32no—
449C22×C4—32no—
450C22×C4—31no—
451C22×C4—31no—
452C22×C4—31no—
453C22×C4C3×C4×D314yes—
454C22×C4C22×C3×D312yes—
455C22×C4C22×C3×D312yes—
456C22×C4C22×C3×D311yescharacteristic
457C22×C4C22×C3×D311yescharacteristic
458C4⋊C4—22no—
459C4⋊C4—22no—
460C4⋊C4—38no—
461C4⋊C4—34no—
462C4⋊C4—62no—
463C4⋊C4—62no—
464C4⋊C4—64no—
465C4⋊C4—122no—
466C22⋊C4—38no—
467C22⋊C4—42no—
468C22⋊C4—62no—
469C22⋊C4—62no—
470C42—34no—
471C42—64no—
472C42—62no—
473C42—122no—
474C22×C3—24no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—22no—
480C22×C3—22no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—42no—
493C22×C3—42no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3C22×C4×D311yescharacteristic
503C22×C3C2×D3×D411yescharacteristic
504C22×C3C2×#23711yescharacteristic
505C22×C3#100411yescharacteristic
506C22×C3#100711yescharacteristic
507C22×C3#101011yescharacteristic
508C22×C3#101011yescharacteristic
509C22×C3C23×C3×C411yescharacteristic
510C22×C3C22×C3×D411yescharacteristic
511C22×C3C2×C3×#4111yescharacteristic
512C22×C3C3×H(5,𝔽2)11yescharacteristic
513C22×C3C3×2−1+411yescharacteristic
514C22×C3C3×2−1+411yescharacteristic
515C22×C3C3×2−1+411yescharacteristic
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—24no—
519C3×C4—42no—
520C3×C4—42no—
521C3×C4—42no—
522C3×C4—42no—
523C3×C4—42no—
524C3×C4—64no—
525C3×C4—64no—
526C3×C4—62no—
527C3×C4—62no—
528C3×C4—82no—
529C3×C4—82no—
530C3×C4—121no—
531C3×C4—121no—
532C3×C4#67⋊C414yes—
533C3×C4C3×C4×D414yes—
534Dic3—24no—
535Dic3—24no—
536Dic3—22no—
537Dic3—22no—
538Dic3—41no—
539Dic3—41no—
540C32#232311yescharacteristic, complemented, Sylow
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23C2×C3×C4×D312yes—
548C23C23×C3×D311yescharacteristic
549Q8—68no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—28no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—34no—
560C2×C4—34no—
561C2×C4—32no—
562C2×C4—32no—
563C2×C4—62no—
564C2×C4—62no—
565C2×C4—61no—
566C2×C4—62no—
567C2×C4—62no—
568C2×C4—61no—
569C2×C4—61no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—61no—
573C2×C4—61no—
574C2×C4—61no—
575C2×C4—61no—
576C2×C4—61no—
577C2×C4C2×C3×C4×D312yes—
578C2×C4C2×C3×C4×D312yes—
579C2×C4C3×D3×D412yes—
580C2×C4C3×#23712yes—
581C2×C3—21no—
582C2×C3—21no—
583C2×C3—21no—
584C2×C3—21no—
585C2×C3—21no—
586C2×C3—21no—
587C2×C3—21no—
588C2×C3—44no—
589C2×C3—42no—
590C2×C3—42no—
591C2×C3C2×#67⋊C411yescharacteristic
592C2×C3#550411yescharacteristic
593C2×C3#551611yescharacteristic
594C2×C3#560311yescharacteristic
595C2×C3#560811yescharacteristic
596C2×C3#562511yescharacteristic
597C2×C3#562811yescharacteristic
598C2×C3C2×C3×C4×D411yescharacteristic
599C2×C3C3×#51911yescharacteristic
600C2×C3C3×#52011yescharacteristic
601C2×C3C3×#53611yescharacteristic
602C2×C3C3×#53711yescharacteristic
603C2×C3C3×#54111yescharacteristic
604C2×C3C3×#54211yescharacteristic
605C22—22no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22C22×C3×C4×D311yescharacteristic
613C22C2×C3×D3×D411yescharacteristic
614C22C2×C3×#23711yescharacteristic
615C22C3×#100411yescharacteristic
616C22C3×#100711yescharacteristic
617C22C3×#101011yescharacteristic
618C22C3×#101011yescharacteristic
619C4—22no—
620C4—42no—
621C4—42no—
622C4—64no—
623C4—62no—
624C4—62no—
625C4—64no—
626C4—121no—
627C4—121no—
628C4C3×#67⋊C414yes—
629C3—21no—
630C3#7387111yescharacteristic, direct product factor
631C3C3×#232311yescharacteristic, complemented
632C2—42no—
633C2C2×C3×#67⋊C411yescharacteristic
634C2C3×#550411yescharacteristic
635C2C3×#551611yescharacteristic
636C2C3×#560311yescharacteristic
637C2C3×#560811yescharacteristic
638C2C3×#562511yescharacteristic
639C2C3×#562811yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#380C2
socleC23×C32C24
prime radicalC24×C32C23
cosocleC23×C3C24×C3
hypercenterC3×#380D3
hypocenterC3C3×#2323
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#380

Complements

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

NH ≅ G/Ntype
3. C2×C3×#887C2semidirect
5. C3×Dic3×C4⋊C4C2semidirect
6. C3×#4973C2semidirect
7. C3×#4972C2semidirect
10. C3×#4655C2semidirect
11. C3×#4647C2semidirect
13. #73871C3direct (N × H)
26. C3×#924C4semidirect
45. C2×#887C2×C3semidirect
56. Dic3×C4⋊C4C2×C3semidirect
57. #4973C2×C3semidirect
58. #4972C2×C3semidirect
61. #4655C2×C3semidirect
62. #4647C2×C3semidirect
134. #924C3×C4semidirect
540. C32#2323semidirect
630. C3#73871direct (N × H)
631. C3C3×#2323semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9262
C2×C3×#9242
C2×C3×#8872
C32×#3802
C3×Dic3×C4⋊C42
C3×#49732
C3×#49722
C3×#49452
C3×#49442
C3×#46552
C3×#46472
C3×#23233
#738713