Finite Group Databasebeta

← C2×C3×#4776 #11863559

Subgroups — C2×C3×#4776 #11863559

Order 1152.

2093 conjugacy classes of subgroups.

The subgroup lattice has 641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×D4C211yesmaximal, characteristic
2C22×C3×#214C211yesmaximal, characteristic, complemented
3C22×C3×#204C211yesmaximal, characteristic, complemented
4C2×C3×#897C211yesmaximal, characteristic, complemented
5C2×C32×#102C211yesmaximal, characteristic, complemented
6C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
7C2×C3×#809C211yesmaximal, characteristic, complemented
8C3×#4776C218yesmaximal, direct product factor
9C2×C3×#450—31nomaximal
10C2×#4776C311yesmaximal, characteristic, direct product factor
11C24×C3×D3—21no—
12C22×C32×D4C2211yescharacteristic
13C22×C3×#67—21no—
14C2×C3×D3×D4—24no—
15C2×C3×D3×D4—24no—
16C2×C3×D3×D4—22no—
17C2×C3×D3×D4C2214yes—
18C22×C3×D12C2211yescharacteristic
19C22×C3×C4×D3C2211yescharacteristic
20C22×C3×Dic6C2211yescharacteristic, complemented
21C22×C32×C8C2211yescharacteristic, complemented
22C2×C32×C4⋊C4C2211yescharacteristic, complemented
23C2×C3×#214—24no—
24C2×C3×#214C2214yescomplemented
25C2×C3×(C2×D3)⋊C4—21no—
26C2×C3×C4⋊Dic3—21no—
27C22×C3×C3⋊C8C2211yescharacteristic, complemented
28C2×C3×#204—24no—
29C2×C3×#204C2214yescomplemented
30C3×#897—22no—
31C3×#897C2214yescomplemented
32C32×#102C2214yescomplemented
33C3×(C2×D3)⋊C8C2214yescomplemented
34C3×#809C2214yescomplemented
35C23×C3×D4—31no—
36C22×D3×D4C2×C311yescharacteristic
37C22×C3×SD16—31no—
38C22×C3×SD16—31no—
39C2×C3×C22⋊Q8—31no—
40C22×#214C2×C311yescharacteristic, complemented
41C22×#204C2×C311yescharacteristic, complemented
42C2×#897C2×C311yescharacteristic, complemented
43C3×#450—38no—
44C2×C3×#102—21no—
45C2×C3×#102—31no—
46C2×C3×#102D311yescharacteristic, complemented
47C2×C3×#102C2×C311yescharacteristic, complemented
48C2×C3×C22⋊C8—31no—
49C2×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
50C2×#809C2×C311yescharacteristic, complemented
51#4776C2×C318yesdirect product factor
52C24×C32—21no—
53C23×C3×D3—28no—
54C23×C3×D3—21no—
55C23×C3×D3—24no—
56C23×C3×D3—44no—
57C23×C3×D3—44no—
58C23×C3×D3D411yescharacteristic
59C2×C32×D4—21no—
60C2×C32×D4—22no—
61C2×C32×D4D414yes—
62C2×C32×D4C2312yes—
63C22×C32×C4—21no—
64C22×C32×C4C2311yescharacteristic
65C2×C3×#67—28no—
66C2×C3×#67—24no—
67C22×C3×Dic3—21no—
68C22×C3×Dic3D411yescharacteristic
69C3×D3×D4—216no—
70C3×D3×D4—28no—
71C3×D3×D4—28no—
72C2×C3×D12—21no—
73C2×C3×D12—22no—
74C2×C3×D12D414yes—
75C2×C3×D12C2312yes—
76C2×C3×C4×D3—22no—
77C2×C3×C4×D3—22no—
78C2×C3×C4×D3D412yes—
79C2×C3×C4×D3C2312yes—
80C2×C3×Dic6—22no—
81C2×C3×Dic6—22no—
82C2×C3×Dic6—21no—
83C2×C3×Dic6C2312yescomplemented
84C2×C32×C8—22no—
85C2×C32×C8C2312yescomplemented
86C32×C4⋊C4—21no—
87C32×C4⋊C4C2312yescomplemented
88C3×#214—28no—
89C3×(C2×D3)⋊C4—24no—
90C3×C4⋊Dic3—24no—
91C2×C3×C3⋊C8—22no—
92C2×C3×C3⋊C8C2312yescomplemented
93C3×#204—28no—
94C2×#450—31noSylow
95C25×C3—61no—
96C24×D3—21no—
97C22×C3×Q8—31no—
98C22×C3×D4—21no—
99C22×C3×D4—34no—
100C22×C3×D4—31no—
101C22×C3×D4—62no—
102C22×C3×D4—61no—
103C22×C3×D4—64no—
104C22×C3×D4—64no—
105C22×C3×D4C2×D311yescharacteristic
106C22×C3×D4C22×C311yescharacteristic
107C23×C3×C4—31no—
108C22×#67—21no—
109C2×D3×D4—24no—
110C2×D3×D4—24no—
111C2×D3×D4—22no—
112C2×D3×D4C22×C314yes—
113C22×D12C22×C311yescharacteristic
114C22×C4×D3C22×C311yescharacteristic
115C22×Dic6C22×C311yescharacteristic, complemented
116C2×C3×SD16—34no—
117C2×C3×SD16—34no—
118C2×C3×SD16—64no—
119C2×C3×SD16—64no—
120C22×C3×C8—21no—
121C22×C3×C8—31no—
122C22×C3×C8C2×D311yescharacteristic, complemented
123C22×C3×C8C22×C311yescharacteristic, complemented
124C3×C22⋊Q8—34no—
125C3×C22⋊Q8—62no—
126C2×C3×C4⋊C4—21no—
127C2×C3×C4⋊C4—61no—
128C2×C3×C4⋊C4C2×D311yescharacteristic, complemented
129C2×C3×C4⋊C4C22×C311yescharacteristic, complemented
130C2×C3×C22⋊C4—61no—
131C2×#214—24no—
132C2×#214C22×C314yescomplemented
133C2×(C2×D3)⋊C4—21no—
134C2×C4⋊Dic3—21no—
135C22×C3⋊C8C22×C311yescharacteristic, complemented
136C2×#204—24no—
137C2×#204C22×C314yescomplemented
138#897—22no—
139#897C22×C314yescomplemented
140C3×#102—24no—
141C3×#102—34no—
142C3×#102C2×D314yescomplemented
143C3×#102C22×C314yescomplemented
144C3×C22⋊C8—34no—
145(C2×D3)⋊C8C22×C314yescomplemented
146#809C22×C314yescomplemented
147C23×C32—24no—
148C23×C32—22no—
149C23×C32—42no—
150C23×C32—42no—
151C23×C32C2×D411yescharacteristic
152C22×C3×D3—22no—
153C22×C3×D3—22no—
154C22×C3×D3—216no—
155C22×C3×D3—24no—
156C22×C3×D3—22no—
157C22×C3×D3—48no—
158C22×C3×D3—432no—
159C22×C3×D3—42no—
160C22×C3×D3—42no—
161C22×C3×D3—48no—
162C22×C3×D3SD1614yescomplemented
163C22×C3×D3C2×D412yes—
164C32×D4—24no—
165C32×D4—22no—
166C32×D4C2×D414yes—
167C2×C32×C4—22no—
168C2×C32×C4—42no—
169C2×C32×C4C2×D412yes—
170C2×C32×C4C2×D411yescharacteristic
171C2×C32×C4C2×D412yes—
172C2×C32×C4C2411yescharacteristic
173C3×#67—216no—
174C2×C3×Dic3—22no—
175C2×C3×Dic3—22no—
176C2×C3×Dic3—42no—
177C2×C3×Dic3C2×D412yes—
178C3×D12—24no—
179C3×D12—22no—
180C3×D12C2×D414yes—
181C3×C4×D3—24no—
182C3×C4×D3—22no—
183C3×C4×D3—22no—
184C3×Dic6—22no—
185C3×Dic6—22no—
186C3×Dic6—42no—
187C32×C8—22no—
188C3×C3⋊C8—22no—
189C23×D4—31no—
190C22×SD16—31no—
191C22×SD16—31no—
192C2×C22⋊Q8—31no—
193#450—38no—
194C2×#102—31no—
195C2×#102C3×D311yescharacteristic, complemented
196C2×C22⋊C8—31no—
197C24×C3—21no—
198C24×C3—21no—
199C24×C3—31no—
200C24×C3—41no—
201C24×C3—64no—
202C24×C3—68no—
203C24×C3—61no—
204C24×C3—124no—
205C24×C3—124no—
206C23×D3—28no—
207C23×D3—21no—
208C23×D3—24no—
209C23×D3—44no—
210C23×D3—44no—
211C23×D3C3×D411yescharacteristic
212C2×C3×Q8—32no—
213C2×C3×Q8—61no—
214C2×C3×Q8—62no—
215C2×C3×Q8—62no—
216C2×C3×D4—21no—
217C2×C3×D4—22no—
218C2×C3×D4—21no—
219C2×C3×D4—22no—
220C2×C3×D4—24no—
221C2×C3×D4—22no—
222C2×C3×D4—34no—
223C2×C3×D4—32no—
224C2×C3×D4—41no—
225C2×C3×D4—42no—
226C2×C3×D4—64no—
227C2×C3×D4—68no—
228C2×C3×D4—616no—
229C2×C3×D4—68no—
230C2×C3×D4—68no—
231C2×C3×D4—62no—
232C2×C3×D4—61no—
233C2×C3×D4D1214yes—
234C2×C3×D4C3×D414yes—
235C2×C3×D4C22×D312yes—
236C2×C3×D4C23×C312yes—
237C22×C3×C4—21no—
238C22×C3×C4—21no—
239C22×C3×C4—21no—
240C22×C3×C4—31no—
241C22×C3×C4—32no—
242C22×C3×C4—32no—
243C22×C3×C4—41no—
244C22×C3×C4—62no—
245C22×C3×C4—62no—
246C22×C3×C4—61no—
247C22×C3×C4C22×D311yescharacteristic
248C22×C3×C4C23×C311yescharacteristic
249C2×#67—28no—
250C2×#67—24no—
251C22×Dic3—21no—
252C22×Dic3C3×D411yescharacteristic
253D3×D4—216no—
254D3×D4—28no—
255D3×D4—28no—
256C2×D12—22no—
257C2×D12—21no—
258C2×D12C3×D414yes—
259C2×D12C23×C312yes—
260C2×C4×D3—22no—
261C2×C4×D3—22no—
262C2×C4×D3C3×D412yes—
263C2×C4×D3C23×C312yes—
264C2×Dic6—22no—
265C2×Dic6—22no—
266C2×Dic6—21no—
267C2×Dic6C23×C312yescomplemented
268C3×SD16—68no—
269C3×SD16—68no—
270C2×C3×C8—22no—
271C2×C3×C8—22no—
272C2×C3×C8—22no—
273C2×C3×C8—32no—
274C2×C3×C8—42no—
275C2×C3×C8—62no—
276C2×C3×C8C22×D312yescomplemented
277C2×C3×C8C23×C312yescomplemented
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—22no—
281C3×C4⋊C4—41no—
282C3×C4⋊C4—64no—
283C3×C4⋊C4C22×D312yescomplemented
284C3×C4⋊C4C23×C312yescomplemented
285C3×C22⋊C4—64no—
286#214—28no—
287(C2×D3)⋊C4—24no—
288C4⋊Dic3—24no—
289C2×C3⋊C8—22no—
290C2×C3⋊C8C23×C312yescomplemented
291#204—28no—
292C22×C32—24no—
293C22×C32—42no—
294C22×C32—42no—
295C22×C32—48no—
296C22×C32#12012yes—
297C22×C32C2×SD1612yes—
298C22×C32AGL(1,ℤ/8)12yes—
299C22×C32C22×D411yescharacteristic
300C2×C3×D3—22no—
301C2×C3×D3—22no—
302C2×C3×D3—28no—
303C2×C3×D3—24no—
304C2×C3×D3—432no—
305C2×C3×D3—42no—
306C2×C3×D3—42no—
307C2×C3×D3—48no—
308C2×C3×D3C2×SD1614yescomplemented
309C32×C4—42no—
310C32×C4#12012yes—
311C32×C4C22×D411yescharacteristic
312C32×C4C22×D411yescharacteristic
313C3×Dic3—22no—
314C3×Dic3—42no—
315C25—61no—
316C22×Q8—31no—
317C22×D4—34no—
318C22×D4—31no—
319C22×D4—62no—
320C22×D4—61no—
321C22×D4—64no—
322C22×D4—64no—
323C22×D4C2×C3×D311yescharacteristic
324C23×C4—31no—
325C2×SD16—34no—
326C2×SD16—34no—
327C2×SD16—64no—
328C2×SD16—64no—
329C22×C8—31no—
330C22×C8C2×C3×D311yescharacteristic, complemented
331C22⋊Q8—34no—
332C22⋊Q8—62no—
333C2×C4⋊C4—61no—
334C2×C4⋊C4C2×C3×D311yescharacteristic, complemented
335C2×C22⋊C4—61no—
336#102—34no—
337#102C2×C3×D314yescomplemented
338C22⋊C8—34no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—21no—
344C23×C3—34no—
345C23×C3—32no—
346C23×C3—44no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—616no—
353C23×C3—62no—
354C23×C3—62no—
355C23×C3—64no—
356C23×C3—62no—
357C23×C3—82no—
358C23×C3—82no—
359C23×C3—128no—
360C23×C3—128no—
361C23×C3—1232no—
362C23×C3—122no—
363C23×C3—122no—
364C23×C3D3×D411yescharacteristic
365C23×C3C2×C3×D411yescharacteristic
366C22×D3—22no—
367C22×D3—22no—
368C22×D3—216no—
369C22×D3—24no—
370C22×D3—22no—
371C22×D3—48no—
372C22×D3—432no—
373C22×D3—42no—
374C22×D3—42no—
375C22×D3—48no—
376C22×D3C3×SD1614yescomplemented
377C22×D3C2×C3×D412yes—
378C3×Q8—62no—
379C3×Q8—62no—
380C3×Q8—122no—
381C3×D4—24no—
382C3×D4—24no—
383C3×D4—22no—
384C3×D4—22no—
385C3×D4—24no—
386C3×D4—34no—
387C3×D4—44no—
388C3×D4—42no—
389C3×D4—616no—
390C3×D4—64no—
391C3×D4—62no—
392C3×D4C2×D1214yes—
393C3×D4C2×C3×D414yes—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—22no—
398C2×C3×C4—21no—
399C2×C3×C4—22no—
400C2×C3×C4—32no—
401C2×C3×C4—42no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—62no—
405C2×C3×C4—64no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—62no—
409C2×C3×C4—82no—
410C2×C3×C4—122no—
411C2×C3×C4C2×D1212yes—
412C2×C3×C4D3×D411yescharacteristic
413C2×C3×C4D3×D412yes—
414C2×C3×C4C2×C3×D412yes—
415C2×C3×C4C2×C3×D411yescharacteristic
416C2×C3×C4C2×C3×D412yes—
417C2×C3×C4C23×D311yescharacteristic
418C2×C3×C4C24×C311yescharacteristic
419#67—216no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—42no—
423C2×Dic3C2×C3×D412yes—
424D12—24no—
425D12—22no—
426D12C2×C3×D414yes—
427C4×D3—24no—
428C4×D3—22no—
429C4×D3—22no—
430Dic6—22no—
431Dic6—22no—
432Dic6—42no—
433C3×C8—22no—
434C3×C8—22no—
435C3×C8—42no—
436C3×C8—62no—
437C3⋊C8—22no—
438C2×C32—44no—
439C2×C32#45014yescomplemented
440C2×C32C2×#12011yescharacteristic
441C2×C32C22×SD1611yescharacteristic
442C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
443C3×D3—24no—
444C3×D3—44no—
445C24—21no—
446C24—31no—
447C24—64no—
448C24—68no—
449C24—61no—
450C24—124no—
451C24—124no—
452C2×Q8—32no—
453C2×Q8—61no—
454C2×Q8—62no—
455C2×Q8—62no—
456C2×D4—21no—
457C2×D4—22no—
458C2×D4—32no—
459C2×D4—34no—
460C2×D4—64no—
461C2×D4—68no—
462C2×D4—616no—
463C2×D4—68no—
464C2×D4—68no—
465C2×D4—62no—
466C2×D4—61no—
467C2×D4C3×D1214yes—
468C2×D4C22×C3×D312yes—
469C22×C4—21no—
470C22×C4—31no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—61no—
476C22×C4C22×C3×D311yescharacteristic
477SD16—68no—
478SD16—68no—
479C2×C8—22no—
480C2×C8—32no—
481C2×C8—62no—
482C2×C8C22×C3×D312yescomplemented
483C4⋊C4—21no—
484C4⋊C4—64no—
485C4⋊C4C22×C3×D312yescomplemented
486C22⋊C4—64no—
487C22×C3—24no—
488C22×C3—24no—
489C22×C3—22no—
490C22×C3—22no—
491C22×C3—22no—
492C22×C3—21no—
493C22×C3—34no—
494C22×C3—44no—
495C22×C3—42no—
496C22×C3—42no—
497C22×C3—42no—
498C22×C3—42no—
499C22×C3—48no—
500C22×C3—48no—
501C22×C3—62no—
502C22×C3—62no—
503C22×C3—68no—
504C22×C3—64no—
505C22×C3—82no—
506C22×C3—82no—
507C22×C3—88no—
508C22×C3—1232no—
509C22×C3—122no—
510C22×C3—122no—
511C22×C3—128no—
512C22×C3#88212yes—
513C22×C3#91112yes—
514C22×C3D3×SD1612yes—
515C22×C3C3×#12012yes—
516C22×C3C2×C3×SD1612yes—
517C22×C3C3×AGL(1,ℤ/8)12yes—
518C22×C3C2×D3×D411yescharacteristic
519C22×C3C22×C3×D411yescharacteristic
520C2×D3—22no—
521C2×D3—28no—
522C2×D3—22no—
523C2×D3—24no—
524C2×D3—432no—
525C2×D3—42no—
526C2×D3—42no—
527C2×D3—48no—
528C2×D3C2×C3×SD1614yescomplemented
529C3×C4—22no—
530C3×C4—21no—
531C3×C4—21no—
532C3×C4—42no—
533C3×C4—42no—
534C3×C4—62no—
535C3×C4—82no—
536C3×C4—122no—
537C3×C4#88212yes—
538C3×C4C3×#12012yes—
539C3×C4C22×D1211yescharacteristic
540C3×C4C2×D3×D411yescharacteristic
541C3×C4C22×C3×D411yescharacteristic
542C3×C4C22×C3×D411yescharacteristic
543Dic3—22no—
544Dic3—42no—
545C32C2×#45011yescharacteristic, complemented, Sylow
546C23—24no—
547C23—22no—
548C23—34no—
549C23—32no—
550C23—42no—
551C23—42no—
552C23—616no—
553C23—62no—
554C23—62no—
555C23—64no—
556C23—62no—
557C23—128no—
558C23—128no—
559C23—1232no—
560C23—122no—
561C23—122no—
562C23C3×D3×D411yescharacteristic
563Q8—62no—
564Q8—62no—
565Q8—122no—
566D4—24no—
567D4—22no—
568D4—34no—
569D4—616no—
570D4—64no—
571D4—62no—
572D4C2×C3×D1214yes—
573C2×C4—22no—
574C2×C4—32no—
575C2×C4—42no—
576C2×C4—62no—
577C2×C4—64no—
578C2×C4—62no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—122no—
582C2×C4C2×C3×D1212yes—
583C2×C4C3×D3×D411yescharacteristic
584C2×C4C3×D3×D412yes—
585C2×C4C23×C3×D311yescharacteristic
586C8—22no—
587C8—62no—
588C2×C3—21no—
589C2×C3—21no—
590C2×C3—21no—
591C2×C3—24no—
592C2×C3—44no—
593C2×C3—44no—
594C2×C3—64no—
595C2×C3—84no—
596C2×C3—124no—
597C2×C3#477614yesdirect product factor
598C2×C3C3×#45014yescomplemented
599C2×C3C2×#88211yescharacteristic
600C2×C3C2×#91111yescharacteristic
601C2×C3C2×D3×SD1611yescharacteristic
602C2×C3C2×C3×#12011yescharacteristic
603C2×C3C22×C3×SD1611yescharacteristic
604C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
605D3—24no—
606D3—44no—
607C22—24no—
608C22—34no—
609C22—42no—
610C22—42no—
611C22—48no—
612C22—62no—
613C22—62no—
614C22—68no—
615C22—64no—
616C22—1232no—
617C22—122no—
618C22—122no—
619C22—128no—
620C22C3×#88212yes—
621C22C3×#91112yes—
622C22C3×D3×SD1612yes—
623C22C2×C3×D3×D411yescharacteristic
624C4—42no—
625C4—62no—
626C4—122no—
627C4C3×#88212yes—
628C4C22×C3×D1211yescharacteristic
629C4C2×C3×D3×D411yescharacteristic
630C3—21no—
631C3C2×#477611yescharacteristic, direct product factor
632C3C2×C3×#45011yescharacteristic, complemented
633C2—44no—
634C2—64no—
635C2—124no—
636C2C3×#477614yesdirect product factor
637C2C2×C3×#88211yescharacteristic
638C2C2×C3×#91111yescharacteristic
639C2C2×C3×D3×SD1611yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC2×C32×#102C2
socleC23×C32C2×D4
prime radicalC22×C3×D3×D4C2
hypercenterC2×C3×#102D3
hypocenterC3C2×C3×#450
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C2×C3×#102

Complements

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

NH ≅ G/Ntype
2. C22×C3×#214C2semidirect
3. C22×C3×#204C2semidirect
4. C2×C3×#897C2semidirect
5. C2×C32×#102C2semidirect
6. C2×C3×(C2×D3)⋊C8C2semidirect
7. C2×C3×#809C2semidirect
8. C3×#4776C2direct (N × H)
10. C2×#4776C3direct (N × H)
20. C22×C3×Dic6C22semidirect
21. C22×C32×C8C22semidirect
22. C2×C32×C4⋊C4C22semidirect
24. C2×C3×#214C22semidirect
27. C22×C3×C3⋊C8C22semidirect
29. C2×C3×#204C22semidirect
31. C3×#897C22semidirect
32. C32×#102C22semidirect
33. C3×(C2×D3)⋊C8C22semidirect
34. C3×#809C22semidirect
40. C22×#214C2×C3semidirect
41. C22×#204C2×C3semidirect
42. C2×#897C2×C3semidirect
46. C2×C3×#102D3semidirect
47. C2×C3×#102C2×C3semidirect
49. C2×(C2×D3)⋊C8C2×C3semidirect
50. C2×#809C2×C3semidirect
51. #4776C2×C3direct (N × H)
83. C2×C3×Dic6C23semidirect
85. C2×C32×C8C23semidirect
87. C32×C4⋊C4C23semidirect
92. C2×C3×C3⋊C8C23semidirect
115. C22×Dic6C22×C3semidirect
122. C22×C3×C8C2×D3semidirect
123. C22×C3×C8C22×C3semidirect
128. C2×C3×C4⋊C4C2×D3semidirect
129. C2×C3×C4⋊C4C22×C3semidirect
132. C2×#214C22×C3semidirect
135. C22×C3⋊C8C22×C3semidirect
137. C2×#204C22×C3semidirect
139. #897C22×C3semidirect
142. C3×#102C2×D3semidirect
143. C3×#102C22×C3semidirect
145. (C2×D3)⋊C8C22×C3semidirect
146. #809C22×C3semidirect
162. C22×C3×D3SD16semidirect
195. C2×#102C3×D3semidirect
267. C2×Dic6C23×C3semidirect
276. C2×C3×C8C22×D3semidirect
277. C2×C3×C8C23×C3semidirect
283. C3×C4⋊C4C22×D3semidirect
284. C3×C4⋊C4C23×C3semidirect
290. C2×C3⋊C8C23×C3semidirect
308. C2×C3×D3C2×SD16semidirect
330. C22×C8C2×C3×D3semidirect
334. C2×C4⋊C4C2×C3×D3semidirect
337. #102C2×C3×D3semidirect
376. C22×D3C3×SD16semidirect
439. C2×C32#450semidirect
482. C2×C8C22×C3×D3semidirect
485. C4⋊C4C22×C3×D3semidirect
528. C2×D3C2×C3×SD16semidirect
545. C32C2×#450semidirect
597. C2×C3#4776direct (N × H)
598. C2×C3C3×#450semidirect
631. C3C2×#4776direct (N × H)
632. C3C2×C3×#450semidirect
636. C2C3×#4776direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D3×D42
C22×C3×#2142
C22×C3×#2042
C2×C3×#8972
C2×C32×#1022
C2×C3×(C2×D3)⋊C82
C2×C3×#8092
C3×#47762
C2×C3×#4503
C2×#47763