Finite Group Databasebeta

← C3×D3×#481 #11869535

Subgroups — C3×D3×#481 #11869535

Order 1152.

1081 conjugacy classes of subgroups.

The subgroup lattice has 671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D3×#121C211yesmaximal, characteristic
2C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
3C32×#481C211yesmaximal, characteristic, complemented
4C3×#5034C211yesmaximal, characteristic, complemented
5C3×#4968C211yesmaximal, characteristic, complemented
6C3×#4863C212yesmaximal, complemented
7C3×D3×#106C212yesmaximal, complemented
8C3×#4777C212yesmaximal, complemented
9C3×D3×#102C212yesmaximal, complemented
10C3×#4735C211yesmaximal, characteristic, complemented
11C3×D3×C22⋊C8C211yesmaximal, characteristic, complemented
12C2×C3×#481—31nomaximal
13D3×#481C311yesmaximal, characteristic, direct product factor
14C2×C3×D3×D4—21no—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C22×C3×C4×D3C2211yescharacteristic
18C32×#121C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic, complemented
20C3×#939—21no—
21C3×#938C2211yescharacteristic
22C3×#930C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
24C2×C3×Dic3⋊C4—21no—
25C2×C3×D3×C8C2212yes—
26C3×#895C2211yescharacteristic
27C3×D3×C4⋊C4—21no—
28C3×D3×C4⋊C4—21no—
29C3×D3×C4⋊C4C2212yes—
30C3×D3×C4⋊C4C2211yescharacteristic
31C3×D3×C4⋊C4C2212yescomplemented
32C3×#884—21no—
33C3×D3×C22⋊C4—21no—
34C32×#106C2212yescomplemented
35C32×#102C2212yescomplemented
36C32×C22⋊C8C2211yescharacteristic, complemented
37C3×#832C2212yescomplemented
38C3×#830C2211yescharacteristic, complemented
39C3×#821C2212yescomplemented
40C3×(C2×D3)⋊C8C2212yescomplemented
41C3×#817C2212yescomplemented
42C3×#809C2212yescomplemented
43C3×#808C2212yescomplemented
44C3×#808C2212yescomplemented
45C2×C3×#121—31no—
46C22×C3×C4⋊C4—31no—
47D3×#121C2×C311yescharacteristic
48C2×D3×C4⋊C4C2×C311yescharacteristic, complemented
49C3×#481—21no—
50C3×#481—31no—
51C3×#481—31no—
52C3×#481—32no—
53C3×#481—32no—
54C3×#481—31no—
55C3×#481D311yescharacteristic, direct product factor
56C3×#481C2×C311yescharacteristic, complemented
57C2×C3×#106—32no—
58C2×C3×#102—32no—
59C2×C3×C22⋊C8—31no—
60#5034C2×C311yescharacteristic, complemented
61#4968C2×C311yescharacteristic, complemented
62#4863C2×C312yescomplemented
63D3×#106C2×C312yescomplemented
64#4777C2×C312yescomplemented
65D3×#102C2×C312yescomplemented
66#4735C2×C311yescharacteristic, complemented
67D3×C22⋊C8C2×C311yescharacteristic, complemented
68C23×C3×D3—21no—
69C23×C3×D3D411yescharacteristic
70C2×C32×D4—21no—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C22×C32×C4C2311yescharacteristic
74C2×C3×#67—21no—
75C2×C3×#67—21no—
76C2×C3×#67—21no—
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C3×D3×D4—24no—
80C3×D3×D4—44no—
81C2×C3×D12—21no—
82C2×C3×D12C2311yescharacteristic
83C2×C3×C4×D3—24no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—44no—
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C32×C8C2312yes—
93C32×C4⋊C4—21no—
94C32×C4⋊C4C2312yes—
95C32×C4⋊C4C2311yescharacteristic
96C32×C22⋊C4—21no—
97C3×#217—21no—
98C3×(C2×D3)⋊C4—21no—
99C3×(C2×D3)⋊C4—21no—
100C3×C4⋊Dic3—21no—
101C3×C4⋊Dic3C2312yes—
102C3×C4⋊Dic3C2311yescharacteristic
103C3×Dic3⋊C4—21no—
104C3×Dic3⋊C4—22no—
105C3×Dic3⋊C4—22no—
106C2×C3×C3⋊C8C2312yes—
107C3×D3×C8—24no—
108C2×#481—31noSylow
109C22×C3×D4—31no—
110C22×C3×D4—61no—
111C23×C3×C4—31no—
112C23×C3×C4—61no—
113C2×D3×D4—21no—
114C2×D3×D4C22×C311yescharacteristic
115C22×C4×D3—21no—
116C22×C4×D3C22×C311yescharacteristic
117C22×C3×C8—32no—
118C3×#121—21no—
119C3×#121—31no—
120C3×#121—31no—
121C3×#121—31no—
122C3×#121—61no—
123C3×#121—61no—
124C3×#121C2×D311yescharacteristic
125C3×#121C22×C311yescharacteristic
126C2×C3×C4⋊C4—21no—
127C2×C3×C4⋊C4—31no—
128C2×C3×C4⋊C4—32no—
129C2×C3×C4⋊C4—31no—
130C2×C3×C4⋊C4—32no—
131C2×C3×C4⋊C4—61no—
132C2×C3×C4⋊C4—61no—
133C2×C3×C4⋊C4—61no—
134C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
135C2×C3×C4⋊C4C22×C311yescharacteristic, complemented
136C2×C3×C22⋊C4—61no—
137#939—21no—
138#938C22×C311yescharacteristic
139#930C22×C311yescharacteristic
140C2×C4⋊Dic3C22×C311yescharacteristic, complemented
141C2×Dic3⋊C4—21no—
142C2×D3×C8C22×C312yes—
143#895C22×C311yescharacteristic
144D3×C4⋊C4—21no—
145D3×C4⋊C4—21no—
146D3×C4⋊C4C22×C312yes—
147D3×C4⋊C4C22×C311yescharacteristic
148D3×C4⋊C4C22×C312yescomplemented
149#884—21no—
150D3×C22⋊C4—21no—
151C3×#106—22no—
152C3×#106—32no—
153C3×#106—32no—
154C3×#106—32no—
155C3×#106C2×D312yescomplemented
156C3×#106C22×C312yescomplemented
157C3×#102—22no—
158C3×#102—32no—
159C3×#102—32no—
160C3×#102—32no—
161C3×#102C2×D312yescomplemented
162C3×#102C22×C312yescomplemented
163C3×C22⋊C8—21no—
164C3×C22⋊C8—31no—
165C3×C22⋊C8—32no—
166C3×C22⋊C8C2×D311yescharacteristic, complemented
167C3×C22⋊C8C22×C311yescharacteristic, complemented
168#832C22×C312yescomplemented
169#830C22×C311yescharacteristic, complemented
170#821C22×C312yescomplemented
171(C2×D3)⋊C8C22×C312yescomplemented
172#817C22×C312yescomplemented
173#809C22×C312yescomplemented
174#808C22×C312yescomplemented
175#808C22×C312yescomplemented
176C23×C32—21no—
177C23×C32C2×D411yescharacteristic
178C22×C3×D3—22no—
179C22×C3×D3—22no—
180C22×C3×D3—21no—
181C22×C3×D3—42no—
182C22×C3×D3—42no—
183C22×C3×D3—42no—
184C22×C3×D3SD1614yes—
185C22×C3×D3C2×D411yescharacteristic
186C22×C3×D3C2×D411yescharacteristic
187C32×D4—22no—
188C32×D4—42no—
189C2×C32×C4—22no—
190C2×C32×C4—22no—
191C2×C32×C4—21no—
192C2×C32×C4—42no—
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2411yescharacteristic
195C3×#67—42no—
196C3×#67—42no—
197C3×#67—42no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—21no—
201C2×C3×Dic3—42no—
202C2×C3×Dic3C2×D411yescharacteristic
203C2×C3×Dic3C2×D411yescharacteristic
204C3×D12—22no—
205C3×D12—42no—
206C3×C4×D3—22no—
207C3×C4×D3—22no—
208C3×C4×D3—22no—
209C3×C4×D3—44no—
210C3×C4×D3—42no—
211C3×C4×D3—44no—
212C3×C4×D3#4114yes—
213C32×C8—22no—
214C3×C3⋊C8—22no—
215C2×#121—31no—
216C22×C4⋊C4—31no—
217#481—31no—
218#481—31no—
219#481—32no—
220#481—32no—
221#481—31no—
222#481C3×D311yescharacteristic, direct product factor
223C2×#106—32no—
224C2×#102—32no—
225C2×C22⋊C8—31no—
226C24×C3—31no—
227C24×C3—61no—
228C23×D3—21no—
229C23×D3C3×D411yescharacteristic
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—31no—
234C2×C3×D4—41no—
235C2×C3×D4—61no—
236C2×C3×D4—64no—
237C2×C3×D4—61no—
238C2×C3×D4—61no—
239C2×C3×D4—61no—
240C2×C3×D4—124no—
241C2×C3×D4C22×D311yescharacteristic
242C2×C3×D4C23×C311yescharacteristic
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—21no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—31no—
251C22×C3×C4—41no—
252C22×C3×C4—64no—
253C22×C3×C4—61no—
254C22×C3×C4—62no—
255C22×C3×C4—62no—
256C22×C3×C4—61no—
257C22×C3×C4—124no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C23×C311yescharacteristic
260C2×#67—21no—
261C2×#67—21no—
262C2×#67—21no—
263C22×Dic3—21no—
264C22×Dic3C3×D411yescharacteristic
265D3×D4—24no—
266D3×D4—44no—
267C2×D12—21no—
268C2×D12C23×C311yescharacteristic
269C2×C4×D3—24no—
270C2×C4×D3—21no—
271C2×C4×D3—22no—
272C2×C4×D3—22no—
273C2×C4×D3—44no—
274C2×C4×D3C3×D411yescharacteristic
275C2×C4×D3C3×D411yescharacteristic
276C2×C4×D3C23×C311yescharacteristic
277C2×C4×D3C23×C311yescharacteristic
278C2×C3×C8—22no—
279C2×C3×C8—32no—
280C2×C3×C8—64no—
281C2×C3×C8C22×D312yes—
282C2×C3×C8C23×C312yes—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—22no—
286C3×C4⋊C4—21no—
287C3×C4⋊C4—32no—
288C3×C4⋊C4—31no—
289C3×C4⋊C4—41no—
290C3×C4⋊C4—62no—
291C3×C4⋊C4—62no—
292C3×C4⋊C4—61no—
293C3×C4⋊C4—61no—
294C3×C4⋊C4C22×D312yes—
295C3×C4⋊C4C22×D311yescharacteristic
296C3×C4⋊C4C23×C311yescharacteristic
297C3×C4⋊C4C23×C312yes—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—21no—
300C3×C22⋊C4—41no—
301C3×C22⋊C4—61no—
302C3×C22⋊C4—61no—
303C3×C22⋊C4—61no—
304#217—21no—
305(C2×D3)⋊C4—21no—
306(C2×D3)⋊C4—21no—
307C4⋊Dic3—21no—
308C4⋊Dic3C23×C311yescharacteristic
309C4⋊Dic3C23×C312yes—
310Dic3⋊C4—21no—
311Dic3⋊C4—22no—
312Dic3⋊C4—22no—
313C2×C3⋊C8C23×C312yes—
314D3×C8—24no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—41no—
318C22×C32—41no—
319C22×C32—41no—
320C22×C32C2×SD1612yes—
321C22×C32C22×D411yescharacteristic
322C2×C3×D3—21no—
323C2×C3×D3—21no—
324C2×C3×D3—28no—
325C2×C3×D3—41no—
326C2×C3×D3—41no—
327C2×C3×D3—41no—
328C2×C3×D3—84no—
329C2×C3×D3#12312yes—
330C2×C3×D3C2×SD1612yes—
331C2×C3×D3C2×SD1612yes—
332C2×C3×D3AGL(1,ℤ/8)12yes—
333C32×C4—21no—
334C32×C4—41no—
335C32×C4—42no—
336C32×C4C2×#4112yes—
337C3×Dic3—21no—
338C3×Dic3—41no—
339C3×Dic3—42no—
340C3×Dic3#12312yes—
341C22×D4—31no—
342C22×D4—61no—
343C23×C4—31no—
344C23×C4—61no—
345C22×C8—32no—
346#121—31no—
347#121—31no—
348#121—31no—
349#121—61no—
350#121—61no—
351#121C2×C3×D311yescharacteristic
352C2×C4⋊C4—31no—
353C2×C4⋊C4—32no—
354C2×C4⋊C4—32no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4—61no—
359C2×C4⋊C4C2×C3×D311yescharacteristic, complemented
360C2×C22⋊C4—61no—
361#106—32no—
362#106—32no—
363#106—32no—
364#106C2×C3×D312yescomplemented
365#102—32no—
366#102—32no—
367#102—32no—
368#102C2×C3×D312yescomplemented
369C22⋊C8—31no—
370C22⋊C8—32no—
371C22⋊C8C2×C3×D311yescharacteristic, complemented
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—31no—
376C23×C3—34no—
377C23×C3—31no—
378C23×C3—41no—
379C23×C3—62no—
380C23×C3—62no—
381C23×C3—61no—
382C23×C3—122no—
383C23×C3—122no—
384C23×C3—122no—
385C23×C3D3×D411yescharacteristic
386C23×C3C2×C3×D411yescharacteristic
387C22×D3—22no—
388C22×D3—22no—
389C22×D3—21no—
390C22×D3—42no—
391C22×D3—42no—
392C22×D3—42no—
393C22×D3C3×SD1614yes—
394C22×D3C2×C3×D411yescharacteristic
395C22×D3C2×C3×D411yescharacteristic
396C3×D4—22no—
397C3×D4—22no—
398C3×D4—42no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—62no—
402C3×D4—82no—
403C3×D4—122no—
404C3×D4—122no—
405C3×D4—122no—
406C3×D4—122no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—31no—
416C2×C3×C4—34no—
417C2×C3×C4—31no—
418C2×C3×C4—42no—
419C2×C3×C4—41no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—62no—
424C2×C3×C4—62no—
425C2×C3×C4—62no—
426C2×C3×C4—62no—
427C2×C3×C4—61no—
428C2×C3×C4—62no—
429C2×C3×C4—82no—
430C2×C3×C4—124no—
431C2×C3×C4—122no—
432C2×C3×C4—124no—
433C2×C3×C4—122no—
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4C2×C3×D411yescharacteristic
436C2×C3×C4C23×D311yescharacteristic
437C2×C3×C4C24×C311yescharacteristic
438#67—42no—
439#67—42no—
440#67—42no—
441C2×Dic3—22no—
442C2×Dic3—22no—
443C2×Dic3—21no—
444C2×Dic3—42no—
445C2×Dic3C2×C3×D411yescharacteristic
446C2×Dic3C2×C3×D411yescharacteristic
447D12—22no—
448D12—42no—
449C4×D3—22no—
450C4×D3—22no—
451C4×D3—22no—
452C4×D3—44no—
453C4×D3—42no—
454C4×D3—44no—
455C4×D3C3×#4114yes—
456C3×C8—22no—
457C3×C8—22no—
458C3×C8—42no—
459C3×C8—62no—
460C3⋊C8—22no—
461C2×C32—22no—
462C2×C32—81no—
463C2×C32C2×#12311yescharacteristic
464C2×C32C22×SD1611yescharacteristic
465C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
466C3×D3—22no—
467C3×D3—81no—
468C3×D3#48114yesdirect product factor
469C24—31no—
470C24—61no—
471C2×D4—21no—
472C2×D4—31no—
473C2×D4—61no—
474C2×D4—64no—
475C2×D4—61no—
476C2×D4—61no—
477C2×D4—61no—
478C2×D4—124no—
479C2×D4C22×C3×D311yescharacteristic
480C22×C4—21no—
481C22×C4—31no—
482C22×C4—31no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—31no—
486C22×C4—64no—
487C22×C4—61no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—61no—
491C22×C4—124no—
492C22×C4C22×C3×D311yescharacteristic
493C2×C8—32no—
494C2×C8—64no—
495C2×C8C22×C3×D312yes—
496C4⋊C4—21no—
497C4⋊C4—32no—
498C4⋊C4—31no—
499C4⋊C4—62no—
500C4⋊C4—62no—
501C4⋊C4—61no—
502C4⋊C4—61no—
503C4⋊C4C22×C3×D312yes—
504C4⋊C4C22×C3×D311yescharacteristic
505C22⋊C4—21no—
506C22⋊C4—61no—
507C22⋊C4—61no—
508C22⋊C4—61no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—22no—
514C22×C3—21no—
515C22×C3—32no—
516C22×C3—32no—
517C22×C3—32no—
518C22×C3—32no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3—41no—
526C22×C3—41no—
527C22×C3—68no—
528C22×C3—61no—
529C22×C3—61no—
530C22×C3—81no—
531C22×C3—81no—
532C22×C3—81no—
533C22×C3—121no—
534C22×C3—121no—
535C22×C3—121no—
536C22×C3—244no—
537C22×C3D3×SD1612yes—
538C22×C3C2×C3×SD1612yes—
539C22×C3C2×D3×D411yescharacteristic
540C22×C3C22×C3×D411yescharacteristic
541C2×D3—21no—
542C2×D3—21no—
543C2×D3—28no—
544C2×D3—41no—
545C2×D3—41no—
546C2×D3—41no—
547C2×D3—84no—
548C2×D3C3×#12312yes—
549C2×D3C2×C3×SD1612yes—
550C2×D3C2×C3×SD1612yes—
551C2×D3C3×AGL(1,ℤ/8)12yes—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—22no—
555C3×C4—32no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—42no—
559C3×C4—41no—
560C3×C4—42no—
561C3×C4—61no—
562C3×C4—82no—
563C3×C4—81no—
564C3×C4—121no—
565C3×C4—122no—
566C3×C4D3×#4112yes—
567C3×C4C2×C3×#4112yes—
568Dic3—21no—
569Dic3—41no—
570Dic3—42no—
571Dic3C3×#12312yes—
572C32C2×#48111yescharacteristic, complemented, Sylow
573C23—21no—
574C23—31no—
575C23—34no—
576C23—31no—
577C23—62no—
578C23—62no—
579C23—61no—
580C23—122no—
581C23—122no—
582C23—122no—
583C23C3×D3×D411yescharacteristic
584D4—22no—
585D4—42no—
586D4—62no—
587D4—122no—
588D4—122no—
589D4—122no—
590D4—122no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—31no—
595C2×C4—34no—
596C2×C4—31no—
597C2×C4—42no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—61no—
603C2×C4—62no—
604C2×C4—124no—
605C2×C4—122no—
606C2×C4—124no—
607C2×C4—122no—
608C2×C4C3×D3×D411yescharacteristic
609C2×C4C23×C3×D311yescharacteristic
610C8—22no—
611C8—62no—
612C2×C3—22no—
613C2×C3—22no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—34no—
618C2×C3—42no—
619C2×C3—62no—
620C2×C3—81no—
621C2×C3—81no—
622C2×C3—161no—
623C2×C3—241no—
624C2×C3D3×#12311yescharacteristic
625C2×C3C2×D3×SD1611yescharacteristic
626C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
627C2×C3C2×C3×#12311yescharacteristic
628C2×C3C22×C3×SD1611yescharacteristic
629C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
630D3—22no—
631D3—81no—
632D3C3×#48114yesdirect product factor
633C22—21no—
634C22—21no—
635C22—32no—
636C22—32no—
637C22—32no—
638C22—32no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—68no—
643C22—61no—
644C22—61no—
645C22—121no—
646C22—121no—
647C22—121no—
648C22—244no—
649C22C3×D3×SD1612yes—
650C22C2×C3×D3×D411yescharacteristic
651C4—21no—
652C4—32no—
653C4—41no—
654C4—42no—
655C4—61no—
656C4—121no—
657C4—122no—
658C4C3×D3×#4112yes—
659C3—21no—
660C3D3×#48111yescharacteristic, direct product factor
661C3C2×C3×#48111yescharacteristic, complemented
662C2—22no—
663C2—34no—
664C2—62no—
665C2—81no—
666C2—241no—
667C2C3×D3×#12311yescharacteristic
668C2C2×C3×D3×SD1611yescharacteristic
669C2C3×D3×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#481C2
socleC22×C32C22×D4
prime radicalC3×D3×#121C2
hypercenterC3×#481D3
hypocenterC3C2×C3×#481
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C22×C3×C4 ◁ C3×#481

Complements

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

NH ≅ G/Ntype
2. C2×C3×D3×C4⋊C4C2semidirect
3. C32×#481C2semidirect
4. C3×#5034C2semidirect
5. C3×#4968C2semidirect
6. C3×#4863C2semidirect
7. C3×D3×#106C2semidirect
8. C3×#4777C2semidirect
9. C3×D3×#102C2semidirect
10. C3×#4735C2semidirect
11. C3×D3×C22⋊C8C2semidirect
13. D3×#481C3direct (N × H)
19. C2×C32×C4⋊C4C22semidirect
23. C2×C3×C4⋊Dic3C22semidirect
31. C3×D3×C4⋊C4C22semidirect
34. C32×#106C22semidirect
35. C32×#102C22semidirect
36. C32×C22⋊C8C22semidirect
37. C3×#832C22semidirect
38. C3×#830C22semidirect
39. C3×#821C22semidirect
40. C3×(C2×D3)⋊C8C22semidirect
41. C3×#817C22semidirect
42. C3×#809C22semidirect
43. C3×#808C22semidirect
44. C3×#808C22semidirect
48. C2×D3×C4⋊C4C2×C3semidirect
55. C3×#481D3direct (N × H)
56. C3×#481C2×C3semidirect
60. #5034C2×C3semidirect
61. #4968C2×C3semidirect
62. #4863C2×C3semidirect
63. D3×#106C2×C3semidirect
64. #4777C2×C3semidirect
65. D3×#102C2×C3semidirect
66. #4735C2×C3semidirect
67. D3×C22⋊C8C2×C3semidirect
134. C2×C3×C4⋊C4C2×D3semidirect
135. C2×C3×C4⋊C4C22×C3semidirect
140. C2×C4⋊Dic3C22×C3semidirect
148. D3×C4⋊C4C22×C3semidirect
155. C3×#106C2×D3semidirect
156. C3×#106C22×C3semidirect
161. C3×#102C2×D3semidirect
162. C3×#102C22×C3semidirect
166. C3×C22⋊C8C2×D3semidirect
167. C3×C22⋊C8C22×C3semidirect
168. #832C22×C3semidirect
169. #830C22×C3semidirect
170. #821C22×C3semidirect
171. (C2×D3)⋊C8C22×C3semidirect
172. #817C22×C3semidirect
173. #809C22×C3semidirect
174. #808C22×C3semidirect
175. #808C22×C3semidirect
222. #481C3×D3direct (N × H)
359. C2×C4⋊C4C2×C3×D3semidirect
364. #106C2×C3×D3semidirect
368. #102C2×C3×D3semidirect
371. C22⋊C8C2×C3×D3semidirect
468. C3×D3#481direct (N × H)
572. C32C2×#481semidirect
632. D3C3×#481direct (N × H)
660. C3D3×#481direct (N × H)
661. C3C2×C3×#481semidirect

Maximal subgroups

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

subgroupindex
C3×D3×#1212
C2×C3×D3×C4⋊C42
C32×#4812
C3×#50342
C3×#49682
C3×#48632
C3×D3×#1062
C3×#47772
C3×D3×#1022
C3×#47352
C3×D3×C22⋊C82
C2×C3×#4813
D3×#4813