Finite Group Databasebeta

← C3×#76303 #11806032

Subgroups — C3×#76303 #11806032

Order 1152.

1249 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×Dic3C211yesmaximal, characteristic
2C32×#390C211yesmaximal, characteristic
3C3×#5221C211yesmaximal, characteristic
4C3×#4977C211yesmaximal, characteristic, complemented
5C3×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
6C3×#4945C212yesmaximal, complemented
7C3×#4944C212yesmaximal, complemented
8C3×#4943C212yesmaximal, complemented
9C3×Dic3×C22⋊C4C212yesmaximal, complemented
10C3×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C3×C4×Dic3⋊C4C211yesmaximal, characteristic, complemented
12C3×#2357—31nomaximal
13#76303C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C3×Dic3C2212yes—
16C2×C32×C4⋊C4C2211yescharacteristic
17C2×C32×C22⋊C4C2212yes—
18C2×C32×C22⋊C4C2212yes—
19C2×C32×C42C2211yescharacteristic
20C2×C3×#217C2212yes—
21C2×C3×#217C2212yes—
22C2×C3×#217C2212yes—
23C3×D4×Dic3C418yescomplemented
24C2×C3×C4⋊Dic3C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×Dic3⋊C4C2211yescharacteristic
27C2×C3×Dic3⋊C4C2211yescharacteristic
28C2×C3×C4×Dic3C2211yescharacteristic
29C2×C3×C4×Dic3C2212yes—
30C2×C3×C4×Dic3C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×C3⋊#95C2211yescharacteristic
33C3×C3⋊#95C2211yescharacteristic
34C3×C3⋊#95C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C2×C3×C4×D4—31no—
39C2×D4×Dic3C2×C311yescharacteristic
40C3×#390—21no—
41C3×#390—31no—
42C3×#390D311yescharacteristic
43C3×#390C2×C311yescharacteristic
44C3×#388—32no—
45C3×#388—32no—
46C3×#382—31no—
47C3×#381—32no—
48C3×C4×C4⋊C4—31no—
49C3×C4×C4⋊C4—31no—
50C3×C4×C4⋊C4—31no—
51C3×C4×C22⋊C4—32no—
52#5221C2×C311yescharacteristic
53#4977C2×C311yescharacteristic, complemented
54Dic3×C4⋊C4C2×C311yescharacteristic, complemented
55#4945C2×C312yescomplemented
56#4944C2×C312yescomplemented
57#4943C2×C312yescomplemented
58Dic3×C22⋊C4C2×C312yescomplemented
59C4×C4⋊Dic3C2×C311yescharacteristic, complemented
60C4×Dic3⋊C4C2×C311yescharacteristic, complemented
61C24×C32C2312yes—
62C2×C32×D4—22no—
63C2×C32×D4—22no—
64C2×C32×D4C2×C414yes—
65C22×C32×C4C2312yes—
66C22×C32×C4C2311yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C22×C32×C4C2311yescharacteristic
69C22×C3×Dic3—42no—
70C22×C3×Dic3—42no—
71C22×C3×Dic3C2×C418yes—
72C22×C3×Dic3C2311yescharacteristic
73C22×C3×Dic3C2312yes—
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2311yescharacteristic
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2311yescharacteristic
78C32×C4⋊C4—22no—
79C32×C22⋊C4—24no—
80C32×C22⋊C4—42no—
81C32×C42—22no—
82C3×#217—24no—
83C3×#217—42no—
84C3×#217C2×C418yes—
85C3×C4⋊Dic3—22no—
86C3×C4⋊Dic3C2×C414yes—
87C3×Dic3⋊C4—22no—
88C3×Dic3⋊C4—22no—
89C3×C4×Dic3—22no—
90C3×C4×Dic3—42no—
91C3×C4×Dic3—42no—
92C3×C4×Dic3C2×C414yes—
93#2357—31noSylow
94C22×C3×D4—21no—
95C22×C3×D4C2×D311yescharacteristic
96C22×C3×D4C22×C311yescharacteristic
97C23×C3×C4—32no—
98C23×Dic3C22×C312yes—
99C3×C4×D4—38no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—31no—
102C2×C3×C4⋊C4—31no—
103C2×C3×C4⋊C4—31no—
104C2×C3×C4⋊C4—31no—
105C2×C3×C4⋊C4C2×D311yescharacteristic
106C2×C3×C4⋊C4C22×C311yescharacteristic
107C2×C3×C22⋊C4—22no—
108C2×C3×C22⋊C4—22no—
109C2×C3×C22⋊C4—32no—
110C2×C3×C22⋊C4—32no—
111C2×C3×C22⋊C4—32no—
112C2×C3×C22⋊C4C2×D312yes—
113C2×C3×C22⋊C4C2×D312yes—
114C2×C3×C22⋊C4C22×C312yes—
115C2×C3×C22⋊C4C22×C312yes—
116C2×C3×C42—21no—
117C2×C3×C42—31no—
118C2×C3×C42—31no—
119C2×C3×C42—32no—
120C2×C3×C42—32no—
121C2×C3×C42C2×D311yescharacteristic
122C2×C3×C42C22×C311yescharacteristic
123C2×#217C22×C312yes—
124C2×#217C22×C312yes—
125C2×#217C22×C312yes—
126D4×Dic3C3×C418yescomplemented
127C2×C4⋊Dic3C22×C311yescharacteristic
128C2×C4⋊Dic3C22×C311yescharacteristic
129C2×Dic3⋊C4C22×C311yescharacteristic
130C2×Dic3⋊C4C22×C311yescharacteristic
131C2×C4×Dic3C22×C311yescharacteristic
132C2×C4×Dic3C22×C312yes—
133C2×C4×Dic3C22×C312yes—
134C2×C4×Dic3C22×C311yescharacteristic
135C3×#95—31no—
136C3×#95—32no—
137C3×#95—31no—
138C3×#95—32no—
139C3×#95—32no—
140C3×#95—32no—
141C3⋊#95C22×C311yescharacteristic
142C3⋊#95C22×C311yescharacteristic
143C3⋊#95C22×C312yes—
144C3⋊#95C22×C312yes—
145C3⋊#95C22×C312yes—
146C3⋊#95C22×C312yes—
147C23×C32—22no—
148C23×C32—22no—
149C23×C32—22no—
150C23×C32—22no—
151C23×C32—22no—
152C23×C32—22no—
153C23×C32C22×C414yes—
154C23×C32C2411yescharacteristic
155C32×D4—28no—
156C2×C32×C4—21no—
157C2×C32×C4—21no—
158C2×C32×C4—21no—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—22no—
162C2×C32×C4—22no—
163C2×C32×C4—22no—
164C2×C32×C4C22×C412yes—
165C2×C32×C4#4112yes—
166C2×C32×C4#4112yes—
167C2×C32×C4#4112yes—
168C2×C3×Dic3—21no—
169C2×C3×Dic3—21no—
170C2×C3×Dic3—21no—
171C2×C3×Dic3—21no—
172C2×C3×Dic3—22no—
173C2×C3×Dic3—22no—
174C2×C3×Dic3—21no—
175C2×C3×Dic3—21no—
176C2×C3×Dic3—21no—
177C2×C3×Dic3—21no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—48no—
183C2×C3×Dic3C22×C412yes—
184C2×C3×Dic3C22×C412yes—
185C2×C3×Dic3C22×C414yes—
186C2×C3×Dic3#4112yes—
187C2×C4×D4—31no—
188#390—31no—
189#390C3×D311yescharacteristic
190#388—32no—
191#388—32no—
192#382—31no—
193#381—32no—
194C4×C4⋊C4—31no—
195C4×C4⋊C4—31no—
196C4×C4⋊C4—31no—
197C4×C22⋊C4—32no—
198C24×C3—22no—
199C24×C3C22×D312yes—
200C24×C3C23×C312yes—
201C2×C3×D4—22no—
202C2×C3×D4—22no—
203C2×C3×D4—22no—
204C2×C3×D4—22no—
205C2×C3×D4—24no—
206C2×C3×D4—42no—
207C2×C3×D4—42no—
208C2×C3×D4C4×D314yes—
209C2×C3×D4C2×C3×C414yes—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—22no—
214C22×C3×C4—31no—
215C22×C3×C4—32no—
216C22×C3×C4—31no—
217C22×C3×C4—31no—
218C22×C3×C4—38no—
219C22×C3×C4—31no—
220C22×C3×C4—32no—
221C22×C3×C4—122no—
222C22×C3×C4—122no—
223C22×C3×C4C22×D312yes—
224C22×C3×C4C22×D311yescharacteristic
225C22×C3×C4C22×D311yescharacteristic
226C22×C3×C4C22×D311yescharacteristic
227C22×C3×C4C23×C312yes—
228C22×C3×C4C23×C311yescharacteristic
229C22×C3×C4C23×C311yescharacteristic
230C22×C3×C4C23×C311yescharacteristic
231C22×Dic3—42no—
232C22×Dic3—42no—
233C22×Dic3C2×C3×C418yes—
234C22×Dic3C23×C311yescharacteristic
235C22×Dic3C23×C312yes—
236C22×Dic3C23×C311yescharacteristic
237C22×Dic3C23×C312yes—
238C22×Dic3C23×C311yescharacteristic
239C22×Dic3C23×C311yescharacteristic
240C3×C4⋊C4—22no—
241C3×C4⋊C4—22no—
242C3×C4⋊C4—34no—
243C3×C4⋊C4—42no—
244C3×C4⋊C4—62no—
245C3×C4⋊C4—62no—
246C3×C4⋊C4—62no—
247C3×C22⋊C4—24no—
248C3×C22⋊C4—24no—
249C3×C22⋊C4—38no—
250C3×C22⋊C4—44no—
251C3×C22⋊C4—42no—
252C3×C22⋊C4—42no—
253C3×C22⋊C4—44no—
254C3×C22⋊C4—64no—
255C3×C22⋊C4—122no—
256C3×C42—22no—
257C3×C42—22no—
258C3×C42—34no—
259C3×C42—42no—
260C3×C42—62no—
261C3×C42—122no—
262C3×C42—122no—
263#217—24no—
264#217—42no—
265#217C2×C3×C418yes—
266C4⋊Dic3—22no—
267C4⋊Dic3C2×C3×C414yes—
268Dic3⋊C4—22no—
269Dic3⋊C4—22no—
270C4×Dic3—22no—
271C4×Dic3—42no—
272C4×Dic3—42no—
273C4×Dic3C2×C3×C414yes—
274C22×C32—24no—
275C22×C32—24no—
276C22×C32—24no—
277C22×C32—42no—
278C22×C32—42no—
279C22×C32—42no—
280C22×C32—42no—
281C22×C32C23×C411yescharacteristic
282C22×C32C2×#4111yescharacteristic
283C22×C32C2×#4111yescharacteristic
284C22×C32C2×#4111yescharacteristic
285C22×C32C2×#4111yescharacteristic
286C22×C32H(5,𝔽2)11yescharacteristic
287C22×C32H(5,𝔽2)11yescharacteristic
288C32×C4—22no—
289C32×C4—41no—
290C32×C4—42no—
291C32×C4#11714yes—
292C3×Dic3—22no—
293C3×Dic3—22no—
294C3×Dic3—24no—
295C3×Dic3—22no—
296C3×Dic3—41no—
297C3×Dic3—42no—
298C22×D4C2×C3×D311yescharacteristic
299C23×C4—32no—
300C4×D4—38no—
301C2×C4⋊C4—31no—
302C2×C4⋊C4—31no—
303C2×C4⋊C4—31no—
304C2×C4⋊C4—31no—
305C2×C4⋊C4C2×C3×D311yescharacteristic
306C2×C22⋊C4—32no—
307C2×C22⋊C4—32no—
308C2×C22⋊C4—32no—
309C2×C22⋊C4C2×C3×D312yes—
310C2×C22⋊C4C2×C3×D312yes—
311C2×C42—31no—
312C2×C42—31no—
313C2×C42—32no—
314C2×C42—32no—
315C2×C42C2×C3×D311yescharacteristic
316#95—31no—
317#95—32no—
318#95—31no—
319#95—32no—
320#95—32no—
321#95—32no—
322C23×C3—22no—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—22no—
328C23×C3—22no—
329C23×C3—22no—
330C23×C3—22no—
331C23×C3—22no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—21no—
335C23×C3—24no—
336C23×C3—42no—
337C23×C3—42no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—42no—
341C23×C3—42no—
342C23×C3C2×C4×D314yes—
343C23×C3C22×C3×C414yes—
344C23×C3C23×D311yescharacteristic
345C23×C3C24×C311yescharacteristic
346C3×D4—28no—
347C3×D4—28no—
348C3×D4—48no—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—21no—
353C2×C3×C4—22no—
354C2×C3×C4—21no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—32no—
371C2×C3×C4—32no—
372C2×C3×C4—34no—
373C2×C3×C4—32no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—61no—
382C2×C3×C4—61no—
383C2×C3×C4—61no—
384C2×C3×C4—62no—
385C2×C3×C4—61no—
386C2×C3×C4—61no—
387C2×C3×C4—62no—
388C2×C3×C4—61no—
389C2×C3×C4—61no—
390C2×C3×C4—62no—
391C2×C3×C4—61no—
392C2×C3×C4—62no—
393C2×C3×C4—62no—
394C2×C3×C4—61no—
395C2×C3×C4—128no—
396C2×C3×C4C2×C4×D312yes—
397C2×C3×C4#23712yes—
398C2×C3×C4#23712yes—
399C2×C3×C4#23712yes—
400C2×C3×C4C22×C3×C412yes—
401C2×C3×C4C3×#4112yes—
402C2×C3×C4C3×#4112yes—
403C2×C3×C4C3×#4112yes—
404C2×Dic3—21no—
405C2×Dic3—21no—
406C2×Dic3—21no—
407C2×Dic3—21no—
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—21no—
418C2×Dic3—48no—
419C2×Dic3C22×C3×C412yes—
420C2×Dic3C22×C3×C412yes—
421C2×Dic3C22×C3×C414yes—
422C2×Dic3C3×#4112yes—
423C2×C32—44no—
424C2×C32C2×#11711yescharacteristic
425C2×C32C4×#4111yescharacteristic
426C2×C32#51811yescharacteristic
427C2×C32#55311yescharacteristic
428C2×C32#55311yescharacteristic
429C2×C32#55911yescharacteristic
430C2×C32#55911yescharacteristic
431C24C22×C3×D312yes—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4C3×C4×D314yes—
435C22×C4—31no—
436C22×C4—32no—
437C22×C4—31no—
438C22×C4—31no—
439C22×C4—38no—
440C22×C4—31no—
441C22×C4—32no—
442C22×C4—122no—
443C22×C4—122no—
444C22×C4C22×C3×D312yes—
445C22×C4C22×C3×D311yescharacteristic
446C22×C4C22×C3×D311yescharacteristic
447C22×C4C22×C3×D311yescharacteristic
448C4⋊C4—22no—
449C4⋊C4—34no—
450C4⋊C4—62no—
451C4⋊C4—62no—
452C4⋊C4—62no—
453C22⋊C4—24no—
454C22⋊C4—38no—
455C22⋊C4—42no—
456C22⋊C4—64no—
457C22⋊C4—122no—
458C42—22no—
459C42—34no—
460C42—62no—
461C42—122no—
462C42—122no—
463C22×C3—24no—
464C22×C3—24no—
465C22×C3—24no—
466C22×C3—24no—
467C22×C3—24no—
468C22×C3—24no—
469C22×C3—21no—
470C22×C3—21no—
471C22×C3—21no—
472C22×C3—21no—
473C22×C3—21no—
474C22×C3—21no—
475C22×C3—21no—
476C22×C3—44no—
477C22×C3—44no—
478C22×C3—44no—
479C22×C3—42no—
480C22×C3—42no—
481C22×C3—42no—
482C22×C3—42no—
483C22×C3—42no—
484C22×C3—42no—
485C22×C3—42no—
486C22×C3—42no—
487C22×C3—82no—
488C22×C3—82no—
489C22×C3—82no—
490C22×C3—82no—
491C22×C3C22×C4×D311yescharacteristic
492C22×C3C2×#23711yescharacteristic
493C22×C3C2×#23711yescharacteristic
494C22×C3C2×#23711yescharacteristic
495C22×C3#100411yescharacteristic
496C22×C3D3×#4111yescharacteristic
497C22×C3#100911yescharacteristic
498C22×C3C23×C3×C411yescharacteristic
499C22×C3C2×C3×#4111yescharacteristic
500C22×C3C2×C3×#4111yescharacteristic
501C22×C3C2×C3×#4111yescharacteristic
502C22×C3C2×C3×#4111yescharacteristic
503C22×C3C3×H(5,𝔽2)11yescharacteristic
504C22×C3C3×H(5,𝔽2)11yescharacteristic
505C3×C4—22no—
506C3×C4—22no—
507C3×C4—24no—
508C3×C4—42no—
509C3×C4—42no—
510C3×C4—42no—
511C3×C4—42no—
512C3×C4—41no—
513C3×C4—41no—
514C3×C4—62no—
515C3×C4—62no—
516C3×C4—64no—
517C3×C4—62no—
518C3×C4—82no—
519C3×C4—122no—
520C3×C4—121no—
521C3×C4#87714yes—
522C3×C4C3×#11714yes—
523Dic3—22no—
524Dic3—22no—
525Dic3—24no—
526Dic3—22no—
527Dic3—42no—
528Dic3—41no—
529C32#235711yescharacteristic, complemented, Sylow
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—22no—
535C23—22no—
536C23C2×C3×C4×D314yes—
537C23C23×C3×D311yescharacteristic
538D4—28no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—32no—
548C2×C4—32no—
549C2×C4—34no—
550C2×C4—32no—
551C2×C4—61no—
552C2×C4—61no—
553C2×C4—61no—
554C2×C4—62no—
555C2×C4—61no—
556C2×C4—61no—
557C2×C4—62no—
558C2×C4—61no—
559C2×C4—61no—
560C2×C4—61no—
561C2×C4—62no—
562C2×C4—62no—
563C2×C4—62no—
564C2×C4—61no—
565C2×C4—128no—
566C2×C4C2×C3×C4×D312yes—
567C2×C4C3×#23712yes—
568C2×C4C3×#23712yes—
569C2×C4C3×#23712yes—
570C2×C3—21no—
571C2×C3—21no—
572C2×C3—21no—
573C2×C3—21no—
574C2×C3—21no—
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—44no—
578C2×C3—44no—
579C2×C3—84no—
580C2×C3C2×#87711yescharacteristic
581C2×C3C4×#23711yescharacteristic
582C2×C3#554511yescharacteristic
583C2×C3#561411yescharacteristic
584C2×C3#561811yescharacteristic
585C2×C3#568111yescharacteristic
586C2×C3#571311yescharacteristic
587C2×C3C2×C3×#11711yescharacteristic
588C2×C3C3×C4×#4111yescharacteristic
589C2×C3C3×#51811yescharacteristic
590C2×C3C3×#55311yescharacteristic
591C2×C3C3×#55311yescharacteristic
592C2×C3C3×#55911yescharacteristic
593C2×C3C3×#55911yescharacteristic
594C22—24no—
595C22—24no—
596C22—24no—
597C22—42no—
598C22—42no—
599C22—42no—
600C22—42no—
601C22C22×C3×C4×D311yescharacteristic
602C22C2×C3×#23711yescharacteristic
603C22C2×C3×#23711yescharacteristic
604C22C2×C3×#23711yescharacteristic
605C22C3×#100411yescharacteristic
606C22C3×D3×#4111yescharacteristic
607C22C3×#100911yescharacteristic
608C4—22no—
609C4—41no—
610C4—42no—
611C4—62no—
612C4—62no—
613C4—64no—
614C4—62no—
615C4—121no—
616C4—122no—
617C4C3×#87714yes—
618C3—21no—
619C3#7630311yescharacteristic, direct product factor
620C3C3×#235711yescharacteristic, complemented
621C2—44no—
622C2C2×C3×#87711yescharacteristic
623C2C3×C4×#23711yescharacteristic
624C2C3×#554511yescharacteristic
625C2C3×#561411yescharacteristic
626C2C3×#561811yescharacteristic
627C2C3×#568111yescharacteristic
628C2C3×#571311yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#390C2
socleC23×C32C24
prime radicalC22×C32×D4C22
cosocleC23×C3C24×C3
hypercenterC3×#390D3
hypocenterC3C3×#2357
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#390

Complements

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

NH ≅ G/Ntype
4. C3×#4977C2semidirect
5. C3×Dic3×C4⋊C4C2semidirect
6. C3×#4945C2semidirect
7. C3×#4944C2semidirect
8. C3×#4943C2semidirect
9. C3×Dic3×C22⋊C4C2semidirect
10. C3×C4×C4⋊Dic3C2semidirect
11. C3×C4×Dic3⋊C4C2semidirect
13. #76303C3direct (N × H)
23. C3×D4×Dic3C4semidirect
53. #4977C2×C3semidirect
54. Dic3×C4⋊C4C2×C3semidirect
55. #4945C2×C3semidirect
56. #4944C2×C3semidirect
57. #4943C2×C3semidirect
58. Dic3×C22⋊C4C2×C3semidirect
59. C4×C4⋊Dic3C2×C3semidirect
60. C4×Dic3⋊C4C2×C3semidirect
126. D4×Dic3C3×C4semidirect
529. C32#2357semidirect
619. C3#76303direct (N × H)
620. C3C3×#2357semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×Dic32
C32×#3902
C3×#52212
C3×#49772
C3×Dic3×C4⋊C42
C3×#49452
C3×#49442
C3×#49432
C3×Dic3×C22⋊C42
C3×C4×C4⋊Dic32
C3×C4×Dic3⋊C42
C3×#23573
#763033