Finite Group Databasebeta

← C3×#82268 #11801461

Subgroups — C3×#82268 #11801461

Order 1152.

1557 conjugacy classes of subgroups.

The subgroup lattice has 643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#117C211yesmaximal, characteristic, complemented
2C2×C3×C4×#67C211yesmaximal, characteristic
3C2×C3×C42×D3C211yesmaximal, characteristic, complemented
4C3×C4×#217C211yesmaximal, characteristic, complemented
5C3×#4989C212yesmaximal, complemented
6C3×#4978C212yesmaximal, complemented
7C3×#4956C212yesmaximal
8C3×#4944C212yesmaximal, complemented
9C3×C4×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
10C3×#4932C211yesmaximal, characteristic, complemented
11C3×C4×Dic3⋊C4C211yesmaximal, characteristic, complemented
12C3×#2290—31nomaximal
13#82268C311yesmaximal, characteristic, direct product factor
14C23×C32×C4C2211yescharacteristic
15C22×C3×#67C2211yescharacteristic
16C22×C3×C4×D3C2212yes—
17C22×C3×C4×D3C2211yescharacteristic
18C32×#117—24no—
19C2×C32×C4⋊C4C2212yes—
20C2×C32×C22⋊C4C2212yes—
21C2×C32×C42C2211yescharacteristic
22C2×C32×C42C2211yescharacteristic
23C2×C3×#217C2212yes—
24C2×C3×#217C2211yescharacteristic
25C3×C4×#67C418yescomplemented
26C2×C3×(C2×D3)⋊C4C2212yes—
27C2×C3×(C2×D3)⋊C4C2211yescharacteristic
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2211yescharacteristic
30C2×C3×C4×Dic3C2211yescharacteristic
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×C4×Dic3C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C3×C42×D3—24no—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×C4×D4—31no—
41C2×C3×#117—21no—
42C2×C3×#117D311yescharacteristic, complemented
43C2×C3×#117C2×C311yescharacteristic, complemented
44C22×C3×C42—31no—
45C2×C4×#67C2×C311yescharacteristic
46C2×C42×D3C2×C311yescharacteristic, complemented
47C3×#388—32no—
48C3×#387—32no—
49C3×#386—32no—
50C3×#385—32no—
51C3×C4×C4⋊C4—31no—
52C3×C4×C22⋊C4—31no—
53C3×C4×C22⋊C4—31no—
54C3×#376—31no—
55C4×#217C2×C311yescharacteristic, complemented
56#4989C2×C312yescomplemented
57#4978C2×C312yescomplemented
58#4956C2×C312yes—
59#4944C2×C312yescomplemented
60C4×(C2×D3)⋊C4C2×C311yescharacteristic, complemented
61#4932C2×C311yescharacteristic, complemented
62C4×Dic3⋊C4C2×C311yescharacteristic, complemented
63C24×C32C2311yescharacteristic
64C23×C3×D3C2311yescharacteristic
65C22×C32×C4—22no—
66C22×C32×C4—22no—
67C22×C32×C4C2×C414yescomplemented
68C22×C32×C4C2312yes—
69C22×C32×C4C2311yescharacteristic
70C22×C32×C4C2312yes—
71C22×C32×C4C2311yescharacteristic
72C2×C3×#67—24no—
73C2×C3×#67C2×C414yes—
74C22×C3×Dic3C2312yes—
75C22×C3×Dic3C2311yescharacteristic
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2312yes—
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3—22no—
83C2×C3×C4×D3—24no—
84C2×C3×C4×D3C2×C414yes—
85C32×C4⋊C4—24no—
86C32×C22⋊C4—24no—
87C32×C42—22no—
88C32×C42D414yescomplemented
89C3×#217—24no—
90C3×#217C2×C414yescomplemented
91C3×(C2×D3)⋊C4—24no—
92C3×(C2×D3)⋊C4C2×C414yes—
93C3×Dic3⋊C4—24no—
94C3×Dic3⋊C4C2×C414yescomplemented
95C3×C4×Dic3—24no—
96C3×C4×Dic3—22no—
97C3×C4×Dic3—22no—
98C3×C4×Dic3C2×C414yescomplemented
99#2290—31noSylow
100C22×C3×D4—31no—
101C23×C3×C4—21no—
102C23×C3×C4—31no—
103C23×C3×C4—32no—
104C23×C3×C4C2×D311yescharacteristic
105C23×C3×C4C22×C311yescharacteristic
106C22×#67C22×C311yescharacteristic
107C22×C4×D3C22×C312yes—
108C22×C4×D3C22×C311yescharacteristic
109C3×C4×D4—38no—
110C3×#117—28no—
111C3×#117—24no—
112C3×#117—24no—
113C2×C3×C4⋊C4—22no—
114C2×C3×C4⋊C4—31no—
115C2×C3×C4⋊C4—32no—
116C2×C3×C4⋊C4C2×D312yes—
117C2×C3×C4⋊C4C22×C312yes—
118C2×C3×C22⋊C4—22no—
119C2×C3×C22⋊C4—31no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4—32no—
122C2×C3×C22⋊C4—32no—
123C2×C3×C22⋊C4C2×D312yes—
124C2×C3×C22⋊C4C22×C312yes—
125C2×C3×C42—21no—
126C2×C3×C42—21no—
127C2×C3×C42—31no—
128C2×C3×C42—32no—
129C2×C3×C42—31no—
130C2×C3×C42—31no—
131C2×C3×C42—64no—
132C2×C3×C42C2×D311yescharacteristic
133C2×C3×C42C2×D311yescharacteristic
134C2×C3×C42C22×C311yescharacteristic
135C2×C3×C42C22×C311yescharacteristic
136C2×#217C22×C312yes—
137C2×#217C22×C311yescharacteristic
138C4×#67C3×C418yescomplemented
139C2×(C2×D3)⋊C4C22×C312yes—
140C2×(C2×D3)⋊C4C22×C311yescharacteristic
141C2×Dic3⋊C4C22×C312yes—
142C2×Dic3⋊C4C22×C311yescharacteristic
143C2×C4×Dic3C22×C311yescharacteristic
144C2×C4×Dic3C22×C311yescharacteristic
145C2×C4×Dic3C22×C312yes—
146C2×C4×Dic3C22×C311yescharacteristic
147C42×D3—24no—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95—32no—
151C3×#95—32no—
152C3×#95—32no—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C3⋊#95C22×C312yes—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—22no—
161C23×C32—22no—
162C23×C32C22×C412yes—
163C23×C32C2411yescharacteristic
164C22×C3×D3—21no—
165C22×C3×D3—21no—
166C22×C3×D3—22no—
167C22×C3×D3C22×C412yes—
168C22×C3×D3#4114yes—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—28no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4C22×C412yes—
178C2×C32×C4C22×C412yes—
179C2×C32×C4C2×D414yes—
180C2×C32×C4C2×D412yes—
181C2×C32×C4#4112yes—
182C3×#67—28no—
183C2×C3×Dic3—21no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3C22×C412yes—
193C2×C3×Dic3C22×C412yes—
194C2×C3×Dic3C22×C412yes—
195C2×C3×Dic3#4114yes—
196C3×C4×D3—216no—
197C3×C4×D3—28no—
198C2×C4×D4—31no—
199C2×#117C3×D311yescharacteristic, complemented
200C22×C42—31no—
201#388—32no—
202#387—32no—
203#386—32no—
204#385—32no—
205C4×C4⋊C4—31no—
206C4×C22⋊C4—31no—
207C4×C22⋊C4—31no—
208#376—31no—
209C24×C3—21no—
210C24×C3—31no—
211C24×C3C22×D311yescharacteristic
212C24×C3C23×C311yescharacteristic
213C23×D3C23×C311yescharacteristic
214C2×C3×D4—34no—
215C2×C3×D4—64no—
216C22×C3×C4—24no—
217C22×C3×C4—24no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—24no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4—31no—
228C22×C3×C4—31no—
229C22×C3×C4—32no—
230C22×C3×C4—31no—
231C22×C3×C4—34no—
232C22×C3×C4—32no—
233C22×C3×C4—64no—
234C22×C3×C4—64no—
235C22×C3×C4—62no—
236C22×C3×C4—64no—
237C22×C3×C4—62no—
238C22×C3×C4C4×D314yescomplemented
239C22×C3×C4C2×C3×C414yescomplemented
240C22×C3×C4C22×D312yes—
241C22×C3×C4C22×D311yescharacteristic
242C22×C3×C4C22×D312yes—
243C22×C3×C4C22×D311yescharacteristic
244C22×C3×C4C23×C312yes—
245C22×C3×C4C23×C311yescharacteristic
246C22×C3×C4C23×C312yes—
247C22×C3×C4C23×C311yescharacteristic
248C2×#67—24no—
249C2×#67C2×C3×C414yes—
250C22×Dic3C23×C312yes—
251C22×Dic3C23×C311yescharacteristic
252C22×Dic3C23×C311yescharacteristic
253C22×Dic3C23×C311yescharacteristic
254C22×Dic3C23×C312yes—
255C2×C4×D3—24no—
256C2×C4×D3—24no—
257C2×C4×D3—22no—
258C2×C4×D3—22no—
259C2×C4×D3—24no—
260C2×C4×D3C2×C3×C414yes—
261C3×C4⋊C4—28no—
262C3×C4⋊C4—24no—
263C3×C4⋊C4—24no—
264C3×C4⋊C4—34no—
265C3×C4⋊C4—64no—
266C3×C22⋊C4—28no—
267C3×C22⋊C4—24no—
268C3×C22⋊C4—24no—
269C3×C22⋊C4—34no—
270C3×C22⋊C4—34no—
271C3×C22⋊C4—64no—
272C3×C22⋊C4—64no—
273C3×C42—24no—
274C3×C42—22no—
275C3×C42—22no—
276C3×C42—24no—
277C3×C42—34no—
278C3×C42—62no—
279C3×C42—64no—
280C3×C42—62no—
281C3×C42#6714yescomplemented
282C3×C42C3×D414yescomplemented
283#217—24no—
284#217C2×C3×C414yescomplemented
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4C2×C3×C414yes—
287Dic3⋊C4—24no—
288Dic3⋊C4C2×C3×C414yescomplemented
289C4×Dic3—24no—
290C4×Dic3—22no—
291C4×Dic3—22no—
292C4×Dic3C2×C3×C414yescomplemented
293C22×C32—22no—
294C22×C32—22no—
295C22×C32—22no—
296C22×C32—42no—
297C22×C32—42no—
298C22×C32C23×C411yescharacteristic
299C22×C32C22×D411yescharacteristic
300C22×C32C2×#4111yescharacteristic
301C22×C32C2×#4112yes—
302C22×C32C2×#4112yes—
303C2×C3×D3—22no—
304C2×C3×D3—22no—
305C2×C3×D3—24no—
306C2×C3×D3—24no—
307C2×C3×D3#11714yescomplemented
308C32×C4—22no—
309C32×C4—24no—
310C32×C4—42no—
311C32×C4C4×D414yes—
312C3×Dic3—22no—
313C3×Dic3—22no—
314C3×Dic3—22no—
315C3×Dic3—24no—
316C3×Dic3—42no—
317C22×D4—31no—
318C23×C4—31no—
319C23×C4—32no—
320C23×C4C2×C3×D311yescharacteristic
321C4×D4—38no—
322#117—24no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—32no—
325C2×C4⋊C4C2×C3×D312yes—
326C2×C22⋊C4—31no—
327C2×C22⋊C4—31no—
328C2×C22⋊C4—32no—
329C2×C22⋊C4—32no—
330C2×C22⋊C4C2×C3×D312yes—
331C2×C42—31no—
332C2×C42—31no—
333C2×C42—31no—
334C2×C42—32no—
335C2×C42—64no—
336C2×C42C2×C3×D311yescharacteristic
337C2×C42C2×C3×D311yescharacteristic
338#95—32no—
339#95—32no—
340#95—32no—
341#95—32no—
342#95—32no—
343C23×C3—22no—
344C23×C3—22no—
345C23×C3—21no—
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—22no—
355C23×C3—32no—
356C23×C3—34no—
357C23×C3—42no—
358C23×C3—42no—
359C23×C3—61no—
360C23×C3—62no—
361C23×C3—61no—
362C23×C3C2×C4×D312yes—
363C23×C3C22×C3×C412yes—
364C23×C3C23×D311yescharacteristic
365C23×C3C24×C311yescharacteristic
366C22×D3—21no—
367C22×D3—21no—
368C22×D3—22no—
369C22×D3C22×C3×C412yes—
370C22×D3C3×#4114yes—
371C3×D4—68no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—216no—
375C2×C3×C4—21no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—28no—
384C2×C3×C4—28no—
385C2×C3×C4—24no—
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—22no—
396C2×C3×C4—24no—
397C2×C3×C4—32no—
398C2×C3×C4—32no—
399C2×C3×C4—32no—
400C2×C3×C4—34no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—42no—
405C2×C3×C4—616no—
406C2×C3×C4—61no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—62no—
410C2×C3×C4—61no—
411C2×C3×C4—62no—
412C2×C3×C4—68no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4C2×C4×D312yes—
417C2×C3×C4C2×C4×D312yes—
418C2×C3×C4#23512yes—
419C2×C3×C4C2×#6714yes—
420C2×C3×C4C2×#6712yes—
421C2×C3×C4C22×C3×C412yes—
422C2×C3×C4C22×C3×C412yes—
423C2×C3×C4C2×C3×D414yes—
424C2×C3×C4C2×C3×D412yes—
425C2×C3×C4C3×#4112yes—
426#67—28no—
427C2×Dic3—21no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—21no—
431C2×Dic3—22no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3C22×C3×C412yes—
437C2×Dic3C22×C3×C412yes—
438C2×Dic3C22×C3×C412yes—
439C2×Dic3C3×#4114yes—
440C4×D3—216no—
441C4×D3—28no—
442C2×C32—42no—
443C2×C32C2×#11711yescharacteristic
444C2×C32C2×C4×D411yescharacteristic
445C2×C32C4×#4111yescharacteristic
446C2×C32#52512yes—
447C2×C32#52912yes—
448C3×D3—24no—
449C24—31no—
450C24C22×C3×D311yescharacteristic
451C2×D4—34no—
452C2×D4—64no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—31no—
456C22×C4—31no—
457C22×C4—32no—
458C22×C4—31no—
459C22×C4—34no—
460C22×C4—32no—
461C22×C4—64no—
462C22×C4—64no—
463C22×C4—62no—
464C22×C4—64no—
465C22×C4—62no—
466C22×C4C3×C4×D314yescomplemented
467C22×C4C22×C3×D312yes—
468C22×C4C22×C3×D311yescharacteristic
469C22×C4C22×C3×D312yes—
470C22×C4C22×C3×D311yescharacteristic
471C4⋊C4—24no—
472C4⋊C4—34no—
473C4⋊C4—64no—
474C22⋊C4—24no—
475C22⋊C4—34no—
476C22⋊C4—34no—
477C22⋊C4—64no—
478C22⋊C4—64no—
479C42—22no—
480C42—34no—
481C42—62no—
482C42—64no—
483C42—62no—
484C42C3×#6714yescomplemented
485C22×C3—24no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—21no—
493C22×C3—21no—
494C22×C3—22no—
495C22×C3—22no—
496C22×C3—21no—
497C22×C3—34no—
498C22×C3—42no—
499C22×C3—42no—
500C22×C3—44no—
501C22×C3—44no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—42no—
506C22×C3—62no—
507C22×C3—64no—
508C22×C3—62no—
509C22×C3—64no—
510C22×C3C22×C4×D311yescharacteristic
511C22×C3C2×#23511yescharacteristic
512C22×C3D3×#4112yes—
513C22×C3D3×#4112yes—
514C22×C3C22×#6711yescharacteristic
515C22×C3C23×C3×C411yescharacteristic
516C22×C3C22×C3×D411yescharacteristic
517C22×C3C2×C3×#4111yescharacteristic
518C22×C3C2×C3×#4112yes—
519C22×C3C2×C3×#4112yes—
520C2×D3—22no—
521C2×D3—22no—
522C2×D3—24no—
523C2×D3—24no—
524C2×D3C3×#11714yescomplemented
525C3×C4—24no—
526C3×C4—22no—
527C3×C4—24no—
528C3×C4—22no—
529C3×C4—24no—
530C3×C4—24no—
531C3×C4—44no—
532C3×C4—44no—
533C3×C4—42no—
534C3×C4—42no—
535C3×C4—62no—
536C3×C4—62no—
537C3×C4—62no—
538C3×C4—64no—
539C3×C4—122no—
540C3×C4C4×#6714yes—
541C3×C4C3×C4×D414yes—
542Dic3—22no—
543Dic3—22no—
544Dic3—22no—
545Dic3—24no—
546Dic3—42no—
547C32#229011yescharacteristic, complemented, Sylow
548C23—21no—
549C23—22no—
550C23—22no—
551C23—21no—
552C23—32no—
553C23—34no—
554C23—61no—
555C23—62no—
556C23—61no—
557C23C2×C3×C4×D312yes—
558C23C23×C3×D311yescharacteristic
559D4—68no—
560C2×C4—21no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—28no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—32no—
569C2×C4—32no—
570C2×C4—32no—
571C2×C4—34no—
572C2×C4—616no—
573C2×C4—61no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—61no—
578C2×C4—62no—
579C2×C4—68no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—62no—
583C2×C4C2×C3×C4×D312yes—
584C2×C4C2×C3×C4×D312yes—
585C2×C4C3×#23512yes—
586C2×C4C2×C3×#6714yes—
587C2×C4C2×C3×#6712yes—
588C2×C3—21no—
589C2×C3—21no—
590C2×C3—22no—
591C2×C3—21no—
592C2×C3—22no—
593C2×C3—44no—
594C2×C3—42no—
595C2×C3—42no—
596C2×C3—64no—
597C2×C3D3×#11711yescharacteristic
598C2×C3#552211yescharacteristic
599C2×C3#552812yes—
600C2×C3C2×C4×#6711yescharacteristic
601C2×C3#582812yes—
602C2×C3C2×C3×#11711yescharacteristic
603C2×C3C2×C3×C4×D411yescharacteristic
604C2×C3C3×C4×#4111yescharacteristic
605C2×C3C3×#52512yes—
606C2×C3C3×#52912yes—
607D3—24no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—34no—
612C22—42no—
613C22—42no—
614C22—62no—
615C22—64no—
616C22—62no—
617C22—64no—
618C22C22×C3×C4×D311yescharacteristic
619C22C2×C3×#23511yescharacteristic
620C22C3×D3×#4112yes—
621C22C3×D3×#4112yes—
622C22C22×C3×#6711yescharacteristic
623C4—22no—
624C4—24no—
625C4—42no—
626C4—62no—
627C4—62no—
628C4—62no—
629C4—64no—
630C4—122no—
631C4C3×C4×#6714yes—
632C3—21no—
633C3#8226811yescharacteristic, direct product factor
634C3C3×#229011yescharacteristic, complemented
635C2—42no—
636C2—64no—
637C2C3×D3×#11711yescharacteristic
638C2C3×#552211yescharacteristic
639C2C3×#552812yes—
640C2C2×C3×C4×#6711yescharacteristic
641C2C3×#582812yes—
subgroupG/H
centerC22×C3×C4C22×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC2×C32×#117C2
socleC23×C32C24
prime radicalC22×C3×#67C22
cosocleC23×C3C24×C3
hypercenterC2×C3×#117D3
hypocenterC3C3×#2290
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22×C3×C4 ◁ C2×C3×#117

Complements

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

NH ≅ G/Ntype
1. C2×C32×#117C2semidirect
3. C2×C3×C42×D3C2semidirect
4. C3×C4×#217C2semidirect
5. C3×#4989C2semidirect
6. C3×#4978C2semidirect
8. C3×#4944C2semidirect
9. C3×C4×(C2×D3)⋊C4C2semidirect
10. C3×#4932C2semidirect
11. C3×C4×Dic3⋊C4C2semidirect
13. #82268C3direct (N × H)
25. C3×C4×#67C4semidirect
42. C2×C3×#117D3semidirect
43. C2×C3×#117C2×C3semidirect
46. C2×C42×D3C2×C3semidirect
55. C4×#217C2×C3semidirect
56. #4989C2×C3semidirect
57. #4978C2×C3semidirect
59. #4944C2×C3semidirect
60. C4×(C2×D3)⋊C4C2×C3semidirect
61. #4932C2×C3semidirect
62. C4×Dic3⋊C4C2×C3semidirect
67. C22×C32×C4C2×C4semidirect
88. C32×C42D4semidirect
90. C3×#217C2×C4semidirect
94. C3×Dic3⋊C4C2×C4semidirect
98. C3×C4×Dic3C2×C4semidirect
138. C4×#67C3×C4semidirect
199. C2×#117C3×D3semidirect
238. C22×C3×C4C4×D3semidirect
239. C22×C3×C4C2×C3×C4semidirect
281. C3×C42#67semidirect
282. C3×C42C3×D4semidirect
284. #217C2×C3×C4semidirect
288. Dic3⋊C4C2×C3×C4semidirect
292. C4×Dic3C2×C3×C4semidirect
307. C2×C3×D3#117semidirect
466. C22×C4C3×C4×D3semidirect
484. C42C3×#67semidirect
524. C2×D3C3×#117semidirect
547. C32#2290semidirect
633. C3#82268direct (N × H)
634. C3C3×#2290semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#1172
C2×C3×C4×#672
C2×C3×C42×D32
C3×C4×#2172
C3×#49892
C3×#49782
C3×#49562
C3×#49442
C3×C4×(C2×D3)⋊C42
C3×#49322
C3×C4×Dic3⋊C42
C3×#22903
#822683