Finite Group Databasebeta

← C3×#76197 #11803449

Subgroups — C3×#76197 #11803449

Order 1152.

1197 conjugacy classes of subgroups.

The subgroup lattice has 627 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#897C211yesmaximal, characteristic
2C2×C3×#887C211yesmaximal, characteristic, complemented
3C2×C3×#872C211yesmaximal, characteristic
4C32×#389C211yesmaximal, characteristic, complemented
5C3×#4990C212yesmaximal
6C3×#4987C211yesmaximal, characteristic
7C3×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
8C3×#4972C212yesmaximal, complemented
9C3×#4929C211yesmaximal, characteristic, complemented
10C3×#4669C212yesmaximal
11C3×#4654C212yesmaximal, complemented
12C3×#2323—31nomaximal
13#76197C311yesmaximal, characteristic, direct product factor
14C22×C3×C4×D3C2211yescharacteristic
15C22×C3×Dic6C2211yescharacteristic
16C2×C32×C4⋊C4C2211yescharacteristic
17C2×C32×C4⋊C4C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×C32×C42C2211yescharacteristic
20C2×C3×(C2×D3)⋊C4C2211yescharacteristic
21C2×C3×(C2×D3)⋊C4C2211yescharacteristic
22C2×C3×(C2×D3)⋊C4C2212yes—
23C2×C3×(C2×D3)⋊C4C2212yes—
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic3C2212yes—
26C2×C3×Dic3⋊C4C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×Dic3⋊C4C2211yescharacteristic
29C2×C3×C4×Dic3C2212yes—
30C2×C3×C4×Dic3C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×#897C418yescomplemented
33C3×#887—24no—
34C3×#872—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×#897C2×C311yescharacteristic
44C2×#887C2×C311yescharacteristic, complemented
45C2×#872C2×C311yescharacteristic
46C3×#391—31no—
47C3×#389—21no—
48C3×#389—32no—
49C3×#389D311yescharacteristic, complemented
50C3×#389C2×C311yescharacteristic, complemented
51C3×#388—32no—
52C3×#388—32no—
53C3×#387—32no—
54C3×#380—31no—
55C3×C4×C4⋊C4—31no—
56#4990C2×C312yes—
57#4987C2×C311yescharacteristic
58Dic3×C4⋊C4C2×C311yescharacteristic, complemented
59#4972C2×C312yescomplemented
60#4929C2×C311yescharacteristic, complemented
61#4669C2×C312yes—
62#4654C2×C312yescomplemented
63C23×C3×D3C2311yescharacteristic
64C22×C32×C4C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2312yes—
68C22×C32×C4C2311yescharacteristic
69C22×C3×Dic3C2312yes—
70C22×C3×Dic3C2312yes—
71C22×C3×Dic3C2311yescharacteristic
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2311yescharacteristic
74C2×C3×C4×D3—22no—
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3C2×C414yes—
77C2×C3×Dic6—22no—
78C2×C3×Dic6—22no—
79C2×C3×Dic6C2×C414yes—
80C32×C4⋊C4—22no—
81C32×C4⋊C4—42no—
82C32×C4⋊C4C2×C414yes—
83C32×C42—22no—
84C3×(C2×D3)⋊C4—22no—
85C3×(C2×D3)⋊C4—22no—
86C3×(C2×D3)⋊C4—42no—
87C3×(C2×D3)⋊C4C2×C418yes—
88C3×C4⋊Dic3—22no—
89C3×C4⋊Dic3C2×C418yes—
90C3×Dic3⋊C4—24no—
91C3×Dic3⋊C4—22no—
92C3×Dic3⋊C4—22no—
93C3×C4×Dic3—24no—
94C3×C4×Dic3—42no—
95C3×C4×Dic3D414yes—
96#2323—31noSylow
97C22×C3×Q8—31no—
98C23×C3×C4—31no—
99C22×C4×D3C22×C311yescharacteristic
100C22×Dic6C22×C311yescharacteristic
101C3×C22⋊Q8—38no—
102C3×C4×Q8—64no—
103C3×#117—64no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—22no—
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⋊C4C2×D311yescharacteristic
113C2×C3×C4⋊C4C2×D312yes—
114C2×C3×C4⋊C4C2×D311yescharacteristic
115C2×C3×C4⋊C4C22×C311yescharacteristic
116C2×C3×C4⋊C4C22×C312yes—
117C2×C3×C4⋊C4C22×C311yescharacteristic
118C2×C3×C22⋊C4—32no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4—32no—
122C2×C3×C42—21no—
123C2×C3×C42—31no—
124C2×C3×C42—32no—
125C2×C3×C42—32no—
126C2×C3×C42C2×D311yescharacteristic
127C2×C3×C42C22×C311yescharacteristic
128C2×(C2×D3)⋊C4C22×C311yescharacteristic
129C2×(C2×D3)⋊C4C22×C311yescharacteristic
130C2×(C2×D3)⋊C4C22×C312yes—
131C2×(C2×D3)⋊C4C22×C312yes—
132C2×C4⋊Dic3C22×C311yescharacteristic
133C2×C4⋊Dic3C22×C312yes—
134C2×Dic3⋊C4C22×C311yescharacteristic
135C2×Dic3⋊C4C22×C312yes—
136C2×Dic3⋊C4C22×C311yescharacteristic
137C2×C4×Dic3C22×C312yes—
138C2×C4×Dic3C22×C312yes—
139C2×C4×Dic3C22×C311yescharacteristic
140#897C3×C418yescomplemented
141#887—24no—
142#872—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×C32C2411yescharacteristic
155C22×C3×D3—21no—
156C22×C3×D3—21no—
157C22×C3×D3—21no—
158C22×C3×D3—21no—
159C22×C3×D3—21no—
160C22×C3×D3—21no—
161C22×C3×D3C22×C412yes—
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—22no—
165C2×C32×C4—22no—
166C2×C32×C4—22no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—22no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—22no—
173C2×C32×C4C22×C414yes—
174C2×C32×C4C22×C412yes—
175C2×C32×C4C2×D412yes—
176C2×C32×C4#4112yes—
177C2×C3×Dic3—22no—
178C2×C3×Dic3—21no—
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—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3C22×C412yes—
189C2×C3×Dic3C22×C414yes—
190C2×C3×Dic3C2×D412yes—
191C2×C3×Dic3C2×D412yes—
192C3×C4×D3—28no—
193C3×Dic6—28no—
194C2×C22⋊Q8—31no—
195C2×C4×Q8—31no—
196C2×#117—31no—
197#391—31no—
198#389—32no—
199#389C3×D311yescharacteristic, complemented
200#388—32no—
201#388—32no—
202#387—32no—
203#380—31no—
204C4×C4⋊C4—31no—
205C24×C3—31no—
206C23×D3C23×C311yescharacteristic
207C2×C3×Q8—34no—
208C2×C3×Q8—62no—
209C2×C3×Q8—62no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—22no—
213C22×C3×C4—21no—
214C22×C3×C4—22no—
215C22×C3×C4—31no—
216C22×C3×C4—32no—
217C22×C3×C4—31no—
218C22×C3×C4—31no—
219C22×C3×C4—34no—
220C22×C3×C4—32no—
221C22×C3×C4—62no—
222C22×C3×C4—62no—
223C22×C3×C4C22×D311yescharacteristic
224C22×C3×C4C22×D311yescharacteristic
225C22×C3×C4C22×D312yes—
226C22×C3×C4C22×D312yes—
227C22×C3×C4C22×D311yescharacteristic
228C22×C3×C4C23×C311yescharacteristic
229C22×C3×C4C23×C311yescharacteristic
230C22×C3×C4C23×C312yes—
231C22×C3×C4C23×C312yes—
232C22×C3×C4C23×C311yescharacteristic
233C22×Dic3C23×C312yes—
234C22×Dic3C23×C312yes—
235C22×Dic3C23×C311yescharacteristic
236C22×Dic3C23×C311yescharacteristic
237C22×Dic3C23×C311yescharacteristic
238C2×C4×D3—22no—
239C2×C4×D3—22no—
240C2×C4×D3C2×C3×C414yes—
241C2×Dic6—22no—
242C2×Dic6—22no—
243C2×Dic6C2×C3×C414yes—
244C3×C4⋊C4—22no—
245C3×C4⋊C4—22no—
246C3×C4⋊C4—24no—
247C3×C4⋊C4—38no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—44no—
252C3×C4⋊C4—62no—
253C3×C4⋊C4—62no—
254C3×C4⋊C4—64no—
255C3×C4⋊C4—62no—
256C3×C4⋊C4C4×D314yes—
257C3×C4⋊C4C2×C3×C414yes—
258C3×C22⋊C4—38no—
259C3×C22⋊C4—62no—
260C3×C22⋊C4—62no—
261C3×C22⋊C4—122no—
262C3×C42—22no—
263C3×C42—22no—
264C3×C42—34no—
265C3×C42—42no—
266C3×C42—64no—
267C3×C42—122no—
268(C2×D3)⋊C4—22no—
269(C2×D3)⋊C4—22no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4C2×C3×C418yes—
272C4⋊Dic3—22no—
273C4⋊Dic3C2×C3×C418yes—
274Dic3⋊C4—22no—
275Dic3⋊C4—22no—
276Dic3⋊C4—24no—
277C4×Dic3—24no—
278C4×Dic3—42no—
279C4×Dic3C3×D414yes—
280C22×C32C23×C411yescharacteristic
281C22×C32C22×D411yescharacteristic
282C22×C32C2×#4111yescharacteristic
283C22×C32H(5,𝔽2)11yescharacteristic
284C22×C322−1+411yescharacteristic
285C22×C322−1+411yescharacteristic
286C22×C322−1+411yescharacteristic
287C2×C3×D3—22no—
288C2×C3×D3—22no—
289C2×C3×D3—22no—
290C2×C3×D3—41no—
291C2×C3×D3—41no—
292C2×C3×D3—41no—
293C2×C3×D3—41no—
294C32×C4—24no—
295C32×C4—41no—
296C32×C4—41no—
297C32×C4—42no—
298C32×C4C4×D414yes—
299C3×Dic3—24no—
300C3×Dic3—22no—
301C3×Dic3—22no—
302C3×Dic3—22no—
303C3×Dic3—42no—
304C22×Q8—31no—
305C23×C4—31no—
306C22⋊Q8—38no—
307C4×Q8—64no—
308#117—64no—
309C2×C4⋊C4—32no—
310C2×C4⋊C4—31no—
311C2×C4⋊C4—31no—
312C2×C4⋊C4—32no—
313C2×C4⋊C4—31no—
314C2×C4⋊C4C2×C3×D311yescharacteristic
315C2×C4⋊C4C2×C3×D312yes—
316C2×C4⋊C4C2×C3×D311yescharacteristic
317C2×C22⋊C4—32no—
318C2×C22⋊C4—31no—
319C2×C22⋊C4—31no—
320C2×C22⋊C4—32no—
321C2×C42—31no—
322C2×C42—32no—
323C2×C42—32no—
324C2×C42C2×C3×D311yescharacteristic
325#95—32no—
326#95—32no—
327#95—32no—
328#95—32no—
329#95C2×C3×D312yes—
330C23×C3—21no—
331C23×C3—32no—
332C23×C3—61no—
333C23×C3—61no—
334C23×C3—61no—
335C23×C3—61no—
336C23×C3—61no—
337C23×C3—61no—
338C23×C3C23×D311yescharacteristic
339C23×C3C24×C311yescharacteristic
340C22×D3—21no—
341C22×D3—21no—
342C22×D3—21no—
343C22×D3—21no—
344C22×D3—21no—
345C22×D3—21no—
346C22×D3C22×C3×C412yes—
347C3×Q8—68no—
348C2×C3×C4—22no—
349C2×C3×C4—22no—
350C2×C3×C4—22no—
351C2×C3×C4—22no—
352C2×C3×C4—22no—
353C2×C3×C4—22no—
354C2×C3×C4—21no—
355C2×C3×C4—21no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—22no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—22no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—24no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—34no—
377C2×C3×C4—32no—
378C2×C3×C4—32no—
379C2×C3×C4—32no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—42no—
389C2×C3×C4—62no—
390C2×C3×C4—61no—
391C2×C3×C4—61no—
392C2×C3×C4—61no—
393C2×C3×C4—62no—
394C2×C3×C4—61no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—68no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4C2×C4×D314yes—
402C2×C3×C4C2×C4×D312yes—
403C2×C3×C4D3×D412yes—
404C2×C3×C4#23912yes—
405C2×C3×C4C22×C3×C414yes—
406C2×C3×C4C22×C3×C412yes—
407C2×C3×C4C2×C3×D412yes—
408C2×C3×C4C3×#4112yes—
409C2×Dic3—22no—
410C2×Dic3—21no—
411C2×Dic3—22no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3C22×C3×C412yes—
421C2×Dic3C22×C3×C414yes—
422C2×Dic3C2×C3×D412yes—
423C2×Dic3C2×C3×D412yes—
424C4×D3—28no—
425Dic6—28no—
426C2×C32C2×C4×D411yescharacteristic
427C2×C32#51911yescharacteristic
428C2×C32#52011yescharacteristic
429C2×C32#53611yescharacteristic
430C2×C32#53711yescharacteristic
431C2×C32#54111yescharacteristic
432C2×C32#54211yescharacteristic
433C3×D3—42no—
434C24—31no—
435C2×Q8—34no—
436C2×Q8—62no—
437C2×Q8—62no—
438C22×C4—31no—
439C22×C4—32no—
440C22×C4—31no—
441C22×C4—31no—
442C22×C4—34no—
443C22×C4—32no—
444C22×C4—62no—
445C22×C4—62no—
446C22×C4C22×C3×D311yescharacteristic
447C22×C4C22×C3×D311yescharacteristic
448C22×C4C22×C3×D312yes—
449C22×C4C22×C3×D312yes—
450C22×C4C22×C3×D311yescharacteristic
451C4⋊C4—22no—
452C4⋊C4—38no—
453C4⋊C4—42no—
454C4⋊C4—62no—
455C4⋊C4—62no—
456C4⋊C4—64no—
457C4⋊C4—62no—
458C4⋊C4C3×C4×D314yes—
459C22⋊C4—38no—
460C22⋊C4—62no—
461C22⋊C4—62no—
462C22⋊C4—122no—
463C42—22no—
464C42—34no—
465C42—64no—
466C42—122no—
467C22×C3—21no—
468C22×C3—21no—
469C22×C3—21no—
470C22×C3—21no—
471C22×C3—21no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—62no—
475C22×C3—62no—
476C22×C3—62no—
477C22×C3—121no—
478C22×C3—121no—
479C22×C3—121no—
480C22×C3—121no—
481C22×C3C22×C4×D311yescharacteristic
482C22×C3C2×D3×D411yescharacteristic
483C22×C3#100411yescharacteristic
484C22×C3C2×#23911yescharacteristic
485C22×C3#100711yescharacteristic
486C22×C3#101011yescharacteristic
487C22×C3#101011yescharacteristic
488C22×C3C23×C3×C411yescharacteristic
489C22×C3C22×C3×D411yescharacteristic
490C22×C3C2×C3×#4111yescharacteristic
491C22×C3C3×H(5,𝔽2)11yescharacteristic
492C22×C3C3×2−1+411yescharacteristic
493C22×C3C3×2−1+411yescharacteristic
494C22×C3C3×2−1+411yescharacteristic
495C2×D3—22no—
496C2×D3—22no—
497C2×D3—22no—
498C2×D3—41no—
499C2×D3—41no—
500C2×D3—41no—
501C2×D3—41no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4—24no—
505C3×C4—44no—
506C3×C4—42no—
507C3×C4—42no—
508C3×C4—41no—
509C3×C4—42no—
510C3×C4—41no—
511C3×C4—41no—
512C3×C4—42no—
513C3×C4—41no—
514C3×C4—62no—
515C3×C4—64no—
516C3×C4—62no—
517C3×C4—62no—
518C3×C4—82no—
519C3×C4—122no—
520C3×C4#89314yes—
521C3×C4C3×C4×D414yes—
522Dic3—24no—
523Dic3—22no—
524Dic3—22no—
525Dic3—22no—
526Dic3—42no—
527C32#232311yescharacteristic, complemented, Sylow
528C23—32no—
529C23—61no—
530C23—61no—
531C23—61no—
532C23—61no—
533C23—61no—
534C23—61no—
535C23C23×C3×D311yescharacteristic
536Q8—68no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—22no—
547C2×C4—21no—
548C2×C4—34no—
549C2×C4—32no—
550C2×C4—32no—
551C2×C4—32no—
552C2×C4—62no—
553C2×C4—61no—
554C2×C4—61no—
555C2×C4—61no—
556C2×C4—62no—
557C2×C4—61no—
558C2×C4—61no—
559C2×C4—61no—
560C2×C4—68no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4C2×C3×C4×D314yes—
565C2×C4C2×C3×C4×D312yes—
566C2×C4C3×D3×D412yes—
567C2×C4C3×#23912yes—
568C2×C3—21no—
569C2×C3—21no—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—122no—
576C2×C3C2×#89311yescharacteristic
577C2×C3#554611yescharacteristic
578C2×C3#557211yescharacteristic
579C2×C3#560811yescharacteristic
580C2×C3#562811yescharacteristic
581C2×C3#569811yescharacteristic
582C2×C3#573311yescharacteristic
583C2×C3C2×C3×C4×D411yescharacteristic
584C2×C3C3×#51911yescharacteristic
585C2×C3C3×#52011yescharacteristic
586C2×C3C3×#53611yescharacteristic
587C2×C3C3×#53711yescharacteristic
588C2×C3C3×#54111yescharacteristic
589C2×C3C3×#54211yescharacteristic
590D3—42no—
591C22—62no—
592C22—62no—
593C22—62no—
594C22—121no—
595C22—121no—
596C22—121no—
597C22—121no—
598C22C22×C3×C4×D311yescharacteristic
599C22C2×C3×D3×D411yescharacteristic
600C22C3×#100411yescharacteristic
601C22C2×C3×#23911yescharacteristic
602C22C3×#100711yescharacteristic
603C22C3×#101011yescharacteristic
604C22C3×#101011yescharacteristic
605C4—24no—
606C4—41no—
607C4—42no—
608C4—41no—
609C4—62no—
610C4—64no—
611C4—62no—
612C4—62no—
613C4—122no—
614C4C3×#89314yes—
615C3—21no—
616C3#7619711yescharacteristic, direct product factor
617C3C3×#232311yescharacteristic, complemented
618C2—122no—
619C2C2×C3×#89311yescharacteristic
620C2C3×#554611yescharacteristic
621C2C3×#557211yescharacteristic
622C2C3×#560811yescharacteristic
623C2C3×#562811yescharacteristic
624C2C3×#569811yescharacteristic
625C2C3×#573311yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#389C2
socleC23×C32C24
prime radicalC23×C3×D3C23
cosocleC23×C3C24×C3
hypercenterC3×#389D3
hypocenterC3C3×#2323
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#389

Complements

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

NH ≅ G/Ntype
2. C2×C3×#887C2semidirect
4. C32×#389C2semidirect
7. C3×Dic3×C4⋊C4C2semidirect
8. C3×#4972C2semidirect
9. C3×#4929C2semidirect
11. C3×#4654C2semidirect
13. #76197C3direct (N × H)
32. C3×#897C4semidirect
44. C2×#887C2×C3semidirect
49. C3×#389D3semidirect
50. C3×#389C2×C3semidirect
58. Dic3×C4⋊C4C2×C3semidirect
59. #4972C2×C3semidirect
60. #4929C2×C3semidirect
62. #4654C2×C3semidirect
140. #897C3×C4semidirect
199. #389C3×D3semidirect
527. C32#2323semidirect
616. C3#76197direct (N × H)
617. C3C3×#2323semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#8972
C2×C3×#8872
C2×C3×#8722
C32×#3892
C3×#49902
C3×#49872
C3×Dic3×C4⋊C42
C3×#49722
C3×#49292
C3×#46692
C3×#46542
C3×#23233
#761973