Finite Group Databasebeta

← C3×#74664 #11803364

Subgroups — C3×#74664 #11803364

Order 1152.

1407 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#935C211yesmaximal, characteristic
2C2×C3×D4×Dic3C211yesmaximal, characteristic
3C22×C3×Dic3⋊C4C211yesmaximal, characteristic, complemented
4C32×#386C211yesmaximal, characteristic
5C3×#5210C211yesmaximal, characteristic, complemented
6C3×#4946C212yesmaximal, complemented
7C3×#4944C212yesmaximal, complemented
8C3×#4943C211yesmaximal, characteristic, complemented
9C3×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
10C3×#4652C212yesmaximal, complemented
11C3×#4647C212yesmaximal, complemented
12C3×#2322—31nomaximal
13#74664C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C2×C32×C22⋊C4C2211yescharacteristic
20C2×C32×C22⋊C4C2212yes—
21C2×C3×#217C2211yescharacteristic
22C2×C3×#217C2211yescharacteristic
23C2×C3×#217C2211yescharacteristic
24C2×C3×#217C2212yes—
25C3×#935C418yescomplemented
26C3×D4×Dic3—24no—
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×Dic3⋊C4—24no—
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×Dic3⋊C4C2212yes—
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C2×C3×C4×Dic3C2212yes—
35C32×#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×#123—31no—
41C2×C3×C4×D4—31no—
42C22×C3×C4⋊C4—31no—
43C2×#935C2×C311yescharacteristic
44C2×D4×Dic3C2×C311yescharacteristic
45C22×Dic3⋊C4C2×C311yescharacteristic, complemented
46C3×#389—32no—
47C3×#388—32no—
48C3×#387—32no—
49C3×#386—21no—
50C3×#386D311yescharacteristic
51C3×#386C2×C311yescharacteristic
52C3×#385—31no—
53C3×#385—32no—
54C3×#381—31no—
55C3×C4×C22⋊C4—31no—
56#5210C2×C311yescharacteristic, complemented
57#4946C2×C312yescomplemented
58#4944C2×C312yescomplemented
59#4943C2×C311yescharacteristic, complemented
60Dic3×C22⋊C4C2×C311yescharacteristic, complemented
61#4652C2×C312yescomplemented
62#4647C2×C312yescomplemented
63C24×C32C2311yescharacteristic
64C24×C32C2311yescharacteristic
65C2×C32×D4—22no—
66C2×C32×D4—22no—
67C2×C32×D4C2×C414yes—
68C22×C32×C4—22no—
69C22×C32×C4—42no—
70C22×C32×C4C2312yes—
71C22×C32×C4C2312yes—
72C22×C32×C4C2311yescharacteristic
73C22×C3×Dic3—22no—
74C22×C3×Dic3—22no—
75C22×C3×Dic3—22no—
76C22×C3×Dic3—42no—
77C22×C3×Dic3—42no—
78C22×C3×Dic3C2×C414yescomplemented
79C22×C3×Dic3D414yes—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2311yescharacteristic
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C32×C22⋊C4—22no—
87C32×C22⋊C4—42no—
88C3×#217—22no—
89C3×#217—22no—
90C3×#217C2×C414yescomplemented
91C3×#217C2×C418yescomplemented
92C3×C4⋊Dic3—22no—
93C3×Dic3⋊C4—24no—
94C3×Dic3⋊C4—24no—
95C3×Dic3⋊C4—42no—
96C3×Dic3⋊C4C2×C418yescomplemented
97C3×C4×Dic3—22no—
98C3×C4×Dic3—42no—
99#2322—31noSylow
100C22×C3×D4—21no—
101C22×C3×D4C2×D311yescharacteristic
102C22×C3×D4C22×C311yescharacteristic
103C23×C3×C4—21no—
104C23×C3×C4—31no—
105C23×C3×C4—31no—
106C23×C3×C4—31no—
107C23×C3×C4C2×D311yescharacteristic
108C23×C3×C4C22×C311yescharacteristic
109C23×Dic3C22×C311yescharacteristic
110C23×Dic3C22×C311yescharacteristic
111C23×Dic3C22×C311yescharacteristic
112C3×#123—38no—
113C3×C4×D4—64no—
114C2×C3×C4⋊C4—32no—
115C2×C3×C4⋊C4—32no—
116C2×C3×C4⋊C4—32no—
117C2×C3×C4⋊C4—31no—
118C2×C3×C4⋊C4—32no—
119C2×C3×C4⋊C4—64no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—22no—
122C2×C3×C22⋊C4—31no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—31no—
126C2×C3×C22⋊C4C2×D311yescharacteristic
127C2×C3×C22⋊C4C2×D312yes—
128C2×C3×C22⋊C4C22×C311yescharacteristic
129C2×C3×C22⋊C4C22×C312yes—
130C2×C3×C42—31no—
131C2×C3×C42—32no—
132C2×#217C22×C311yescharacteristic
133C2×#217C22×C311yescharacteristic
134C2×#217C22×C311yescharacteristic
135C2×#217C22×C312yes—
136#935C3×C418yescomplemented
137D4×Dic3—24no—
138C2×C4⋊Dic3C22×C311yescharacteristic
139C2×Dic3⋊C4—24no—
140C2×Dic3⋊C4C22×C312yes—
141C2×Dic3⋊C4C22×C312yes—
142C2×Dic3⋊C4C22×C312yes—
143C2×Dic3⋊C4C22×C312yes—
144C2×C4×Dic3C22×C311yescharacteristic
145C2×C4×Dic3C22×C312yes—
146C3×#95—22no—
147C3×#95—32no—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95—32no—
151C3×#95C2×D312yes—
152C3×#95C22×C312yes—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C23×C32—22no—
158C23×C32—22no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—22no—
162C23×C32—22no—
163C23×C32C22×C412yes—
164C23×C32C22×C412yes—
165C23×C32C2×D412yes—
166C23×C32#4112yes—
167C23×C32C2411yescharacteristic
168C32×D4—28no—
169C2×C32×C4—22no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4—44no—
178C2×C32×C4C22×C412yes—
179C2×C3×Dic3—28no—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—22no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—44no—
191C2×C3×Dic3—44no—
192C2×C3×Dic3C22×C414yes—
193C2×C3×Dic3C22×C414yes—
194C2×C3×Dic3C2×D412yes—
195C2×C3×Dic3C2×D412yes—
196C2×#123—31no—
197C2×C4×D4—31no—
198C22×C4⋊C4—31no—
199#389—32no—
200#388—32no—
201#387—32no—
202#386C3×D311yescharacteristic
203#385—31no—
204#385—32no—
205#381—31no—
206C4×C22⋊C4—31no—
207C24×C3—21no—
208C24×C3—21no—
209C24×C3C22×D311yescharacteristic
210C24×C3C22×D311yescharacteristic
211C24×C3C23×C311yescharacteristic
212C24×C3C23×C311yescharacteristic
213C2×C3×D4—22no—
214C2×C3×D4—22no—
215C2×C3×D4—22no—
216C2×C3×D4—22no—
217C2×C3×D4—24no—
218C2×C3×D4—42no—
219C2×C3×D4—42no—
220C2×C3×D4C4×D314yes—
221C2×C3×D4C2×C3×C414yes—
222C22×C3×C4—22no—
223C22×C3×C4—22no—
224C22×C3×C4—21no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4—34no—
228C22×C3×C4—32no—
229C22×C3×C4—31no—
230C22×C3×C4—32no—
231C22×C3×C4—31no—
232C22×C3×C4—34no—
233C22×C3×C4—31no—
234C22×C3×C4—31no—
235C22×C3×C4—42no—
236C22×C3×C4—42no—
237C22×C3×C4—42no—
238C22×C3×C4—44no—
239C22×C3×C4—62no—
240C22×C3×C4—62no—
241C22×C3×C4—62no—
242C22×C3×C4—122no—
243C22×C3×C4—122no—
244C22×C3×C4C22×D312yes—
245C22×C3×C4C22×D312yes—
246C22×C3×C4C22×D311yescharacteristic
247C22×C3×C4C23×C312yes—
248C22×C3×C4C23×C312yes—
249C22×C3×C4C23×C311yescharacteristic
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—22no—
253C22×Dic3—42no—
254C22×Dic3—42no—
255C22×Dic3C2×C3×C414yescomplemented
256C22×Dic3C3×D414yes—
257C22×Dic3C23×C311yescharacteristic
258C22×Dic3C23×C311yescharacteristic
259C22×Dic3C23×C312yes—
260C22×Dic3C23×C312yes—
261C22×Dic3C23×C311yescharacteristic
262C22×Dic3C23×C311yescharacteristic
263C3×C4⋊C4—38no—
264C3×C4⋊C4—64no—
265C3×C4⋊C4—64no—
266C3×C4⋊C4—62no—
267C3×C4⋊C4—122no—
268C3×C22⋊C4—22no—
269C3×C22⋊C4—22no—
270C3×C22⋊C4—34no—
271C3×C22⋊C4—38no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—42no—
274C3×C22⋊C4—42no—
275C3×C22⋊C4—44no—
276C3×C22⋊C4—62no—
277C3×C22⋊C4—62no—
278C3×C42—62no—
279C3×C42—122no—
280#217—22no—
281#217—22no—
282#217C2×C3×C414yescomplemented
283#217C2×C3×C418yescomplemented
284C4⋊Dic3—22no—
285Dic3⋊C4—24no—
286Dic3⋊C4—24no—
287Dic3⋊C4—42no—
288Dic3⋊C4C2×C3×C418yescomplemented
289C4×Dic3—22no—
290C4×Dic3—42no—
291C22×C32—24no—
292C22×C32—22no—
293C22×C32—22no—
294C22×C32—24no—
295C22×C32—22no—
296C22×C32—24no—
297C22×C32—41no—
298C22×C32—41no—
299C22×C32—42no—
300C22×C32C4×D414yes—
301C22×C32C23×C411yescharacteristic
302C22×C32C22×D411yescharacteristic
303C22×C32C2×#4111yescharacteristic
304C22×C32H(5,𝔽2)12yes—
305C22×C322−1+412yes—
306C32×C4—22no—
307C32×C4—42no—
308C32×C4—42no—
309C3×Dic3—24no—
310C3×Dic3—24no—
311C3×Dic3—22no—
312C3×Dic3—22no—
313C3×Dic3—41no—
314C3×Dic3—41no—
315C22×D4C2×C3×D311yescharacteristic
316C23×C4—31no—
317C23×C4—31no—
318C23×C4—31no—
319C23×C4C2×C3×D311yescharacteristic
320#123—38no—
321C4×D4—64no—
322C2×C4⋊C4—32no—
323C2×C4⋊C4—32no—
324C2×C4⋊C4—32no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—32no—
327C2×C4⋊C4—64no—
328C2×C22⋊C4—31no—
329C2×C22⋊C4—32no—
330C2×C22⋊C4—31no—
331C2×C22⋊C4—31no—
332C2×C22⋊C4C2×C3×D311yescharacteristic
333C2×C22⋊C4C2×C3×D312yes—
334C2×C42—31no—
335C2×C42—32no—
336#95—32no—
337#95—32no—
338#95—32no—
339#95—32no—
340#95C2×C3×D312yes—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—22no—
344C23×C3—22no—
345C23×C3—21no—
346C23×C3—21no—
347C23×C3—22no—
348C23×C3—22no—
349C23×C3—21no—
350C23×C3—21no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—21no—
354C23×C3—22no—
355C23×C3—22no—
356C23×C3—22no—
357C23×C3—22no—
358C23×C3—42no—
359C23×C3—42no—
360C23×C3—42no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—42no—
364C23×C3C2×C4×D312yes—
365C23×C3C2×C4×D312yes—
366C23×C3D3×D412yes—
367C23×C3#23712yes—
368C23×C3C22×C3×C412yes—
369C23×C3C22×C3×C412yes—
370C23×C3C2×C3×D412yes—
371C23×C3C3×#4112yes—
372C23×C3C23×D311yescharacteristic
373C23×C3C24×C311yescharacteristic
374C3×D4—28no—
375C3×D4—28no—
376C3×D4—48no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—24no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—34no—
396C2×C3×C4—34no—
397C2×C3×C4—32no—
398C2×C3×C4—32no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—42no—
404C2×C3×C4—42no—
405C2×C3×C4—42no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4—48no—
409C2×C3×C4—68no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—61no—
417C2×C3×C4—61no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—124no—
421C2×C3×C4—124no—
422C2×C3×C4C2×C4×D312yes—
423C2×C3×C4C22×C3×C412yes—
424C2×Dic3—28no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3C22×C3×C414yes—
438C2×Dic3C22×C3×C414yes—
439C2×Dic3C2×C3×D412yes—
440C2×Dic3C2×C3×D412yes—
441C2×C32—24no—
442C2×C32—42no—
443C2×C32C2×C4×D411yescharacteristic
444C2×C32#52012yes—
445C2×C32#53411yescharacteristic
446C2×C32#53611yescharacteristic
447C2×C32#53912yes—
448C24C22×C3×D311yescharacteristic
449C24C22×C3×D311yescharacteristic
450C2×D4—22no—
451C2×D4—22no—
452C2×D4C3×C4×D314yes—
453C22×C4—22no—
454C22×C4—32no—
455C22×C4—31no—
456C22×C4—32no—
457C22×C4—31no—
458C22×C4—34no—
459C22×C4—34no—
460C22×C4—31no—
461C22×C4—31no—
462C22×C4—42no—
463C22×C4—62no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—122no—
467C22×C4—122no—
468C22×C4C22×C3×D312yes—
469C22×C4C22×C3×D312yes—
470C22×C4C22×C3×D311yescharacteristic
471C4⋊C4—38no—
472C4⋊C4—64no—
473C4⋊C4—64no—
474C4⋊C4—62no—
475C4⋊C4—122no—
476C22⋊C4—22no—
477C22⋊C4—34no—
478C22⋊C4—38no—
479C22⋊C4—42no—
480C22⋊C4—62no—
481C22⋊C4—62no—
482C42—62no—
483C42—122no—
484C22×C3—22no—
485C22×C3—24no—
486C22×C3—22no—
487C22×C3—24no—
488C22×C3—24no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—24no—
492C22×C3—22no—
493C22×C3—24no—
494C22×C3—22no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—22no—
501C22×C3—22no—
502C22×C3—42no—
503C22×C3—44no—
504C22×C3—44no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—44no—
508C22×C3—41no—
509C22×C3—41no—
510C22×C3—42no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3—42no—
514C22×C3—81no—
515C22×C3—82no—
516C22×C3—81no—
517C22×C3#67⋊C414yes—
518C22×C3C3×C4×D414yes—
519C22×C3C22×C4×D311yescharacteristic
520C22×C3C2×D3×D411yescharacteristic
521C22×C3C2×#23711yescharacteristic
522C22×C3#100412yes—
523C22×C3#101012yes—
524C22×C3C23×C3×C411yescharacteristic
525C22×C3C22×C3×D411yescharacteristic
526C22×C3C2×C3×#4111yescharacteristic
527C22×C3C3×H(5,𝔽2)12yes—
528C22×C3C3×2−1+412yes—
529C3×C4—22no—
530C3×C4—22no—
531C3×C4—42no—
532C3×C4—44no—
533C3×C4—42no—
534C3×C4—42no—
535C3×C4—42no—
536C3×C4—42no—
537C3×C4—64no—
538C3×C4—64no—
539C3×C4—62no—
540C3×C4—62no—
541C3×C4—82no—
542C3×C4—121no—
543C3×C4—121no—
544Dic3—24no—
545Dic3—24no—
546Dic3—22no—
547Dic3—22no—
548Dic3—41no—
549Dic3—41no—
550C32#232211yescharacteristic, complemented, Sylow
551C23—22no—
552C23—22no—
553C23—21no—
554C23—21no—
555C23—22no—
556C23—22no—
557C23C2×C3×C4×D312yes—
558C23C2×C3×C4×D312yes—
559C23C3×D3×D412yes—
560C23C3×#23712yes—
561C23C23×C3×D311yescharacteristic
562D4—28no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—34no—
572C2×C4—34no—
573C2×C4—32no—
574C2×C4—32no—
575C2×C4—44no—
576C2×C4—68no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—62no—
583C2×C4—61no—
584C2×C4—61no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—124no—
588C2×C4—124no—
589C2×C4C2×C3×C4×D312yes—
590C2×C3—24no—
591C2×C3—24no—
592C2×C3—22no—
593C2×C3—21no—
594C2×C3—22no—
595C2×C3—21no—
596C2×C3—21no—
597C2×C3—44no—
598C2×C3—42no—
599C2×C3—42no—
600C2×C3—82no—
601C2×C3C2×#67⋊C411yescharacteristic
602C2×C3#554612yes—
603C2×C3#558911yescharacteristic
604C2×C3#560212yes—
605C2×C3#564811yescharacteristic
606C2×C3C2×C3×C4×D411yescharacteristic
607C2×C3C3×#52012yes—
608C2×C3C3×#53411yescharacteristic
609C2×C3C3×#53611yescharacteristic
610C2×C3C3×#53912yes—
611C22—24no—
612C22—22no—
613C22—24no—
614C22—22no—
615C22—24no—
616C22—22no—
617C22—41no—
618C22—42no—
619C22—41no—
620C22C3×#67⋊C414yes—
621C22C22×C3×C4×D311yescharacteristic
622C22C2×C3×D3×D411yescharacteristic
623C22C2×C3×#23711yescharacteristic
624C22C3×#100412yes—
625C22C3×#101012yes—
626C4—22no—
627C4—42no—
628C4—42no—
629C4—64no—
630C4—62no—
631C4—62no—
632C4—64no—
633C4—121no—
634C4—121no—
635C3—21no—
636C3#7466411yescharacteristic, direct product factor
637C3C3×#232211yescharacteristic, complemented
638C2—24no—
639C2—42no—
640C2C2×C3×#67⋊C411yescharacteristic
641C2C3×#554612yes—
642C2C3×#558911yescharacteristic
643C2C3×#560212yes—
644C2C3×#564811yescharacteristic
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC32×#386C2
socleC23×C32C24
prime radicalC22×C32×D4C22
cosocleC23×C3C24×C3
hypercenterC3×#386D3
hypocenterC3C3×#2322
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C3×#386

Complements

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

NH ≅ G/Ntype
3. C22×C3×Dic3⋊C4C2semidirect
5. C3×#5210C2semidirect
6. C3×#4946C2semidirect
7. C3×#4944C2semidirect
8. C3×#4943C2semidirect
9. C3×Dic3×C22⋊C4C2semidirect
10. C3×#4652C2semidirect
11. C3×#4647C2semidirect
13. #74664C3direct (N × H)
25. C3×#935C4semidirect
45. C22×Dic3⋊C4C2×C3semidirect
56. #5210C2×C3semidirect
57. #4946C2×C3semidirect
58. #4944C2×C3semidirect
59. #4943C2×C3semidirect
60. Dic3×C22⋊C4C2×C3semidirect
61. #4652C2×C3semidirect
62. #4647C2×C3semidirect
78. C22×C3×Dic3C2×C4semidirect
90. C3×#217C2×C4semidirect
91. C3×#217C2×C4semidirect
96. C3×Dic3⋊C4C2×C4semidirect
136. #935C3×C4semidirect
255. C22×Dic3C2×C3×C4semidirect
282. #217C2×C3×C4semidirect
283. #217C2×C3×C4semidirect
288. Dic3⋊C4C2×C3×C4semidirect
550. C32#2322semidirect
636. C3#74664direct (N × H)
637. C3C3×#2322semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9352
C2×C3×D4×Dic32
C22×C3×Dic3⋊C42
C32×#3862
C3×#52102
C3×#49462
C3×#49442
C3×#49432
C3×Dic3×C22⋊C42
C3×#46522
C3×#46472
C3×#23223
#746643