Finite Group Databasebeta

← C2×C3×#5169 #11863550

Subgroups — C2×C3×#5169 #11863550

Order 1152.

2141 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D3×D4C211yesmaximal, characteristic
2C22×C32×SD16C211yesmaximal, characteristic, complemented
3C2×C3×#946C211yesmaximal, characteristic, complemented
4C22×C3×#215C211yesmaximal, characteristic, complemented
5C2×C3×#832C211yesmaximal, characteristic, complemented
6C3×#5169C218yesmaximal, direct product factor
7C2×C3×#821C211yesmaximal, characteristic, complemented
8C2×C3×(C2×D3)⋊C8C211yesmaximal, characteristic, complemented
9C2×C3×#450—31nomaximal
10C2×#5169C311yesmaximal, characteristic, direct product factor
11C24×C3×D3—21no—
12C22×C32×Q8C2211yescharacteristic, complemented
13C22×C32×D4C2211yescharacteristic
14C22×C3×#67—21no—
15C2×C3×D3×D4—24no—
16C2×C3×D3×D4—24no—
17C2×C3×D3×D4—22no—
18C2×C3×D3×D4C2214yes—
19C22×C3×D12C2211yescharacteristic
20C22×C3×C4×D3C2211yescharacteristic
21C2×C32×SD16—24no—
22C2×C32×SD16C2214yescomplemented
23C22×C32×C8C2211yescharacteristic, complemented
24C3×#946—22no—
25C3×#946C2214yescomplemented
26C2×C3×#215—24no—
27C2×C3×#215C2214yescomplemented
28C2×C3×(C2×D3)⋊C4—21no—
29C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
30C2×C3×Dic3⋊C4—21no—
31C22×C3×C3⋊C8C2211yescharacteristic, complemented
32C3×#832C2214yescomplemented
33C3×#821C2214yescomplemented
34C3×(C2×D3)⋊C8C2214yescomplemented
35C23×C3×D4—31no—
36C22×D3×D4C2×C311yescharacteristic
37C22×C3×SD16—21no—
38C22×C3×SD16—31no—
39C22×C3×SD16D311yescharacteristic, complemented
40C22×C3×SD16C2×C311yescharacteristic, complemented
41C2×C3×C22⋊Q8—31no—
42C2×#946C2×C311yescharacteristic, complemented
43C22×#215C2×C311yescharacteristic, complemented
44C3×#450—38no—
45C2×C3×#102—31no—
46C2×C3×#102—31no—
47C2×C3×C22⋊C8—31no—
48C2×#832C2×C311yescharacteristic, complemented
49#5169C2×C318yesdirect product factor
50C2×#821C2×C311yescharacteristic, complemented
51C2×(C2×D3)⋊C8C2×C311yescharacteristic, complemented
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×Q8—21no—
60C2×C32×Q8—22no—
61C2×C32×Q8—22no—
62C2×C32×Q8C2312yescomplemented
63C2×C32×D4—21no—
64C2×C32×D4—22no—
65C2×C32×D4D414yes—
66C2×C32×D4C2312yes—
67C22×C32×C4—21no—
68C22×C32×C4C2311yescharacteristic
69C2×C3×#67—28no—
70C2×C3×#67—24no—
71C22×C3×Dic3—21no—
72C22×C3×Dic3D411yescharacteristic
73C3×D3×D4—216no—
74C3×D3×D4—28no—
75C3×D3×D4—28no—
76C2×C3×D12—21no—
77C2×C3×D12—22no—
78C2×C3×D12D414yes—
79C2×C3×D12C2312yes—
80C2×C3×C4×D3—22no—
81C2×C3×C4×D3—22no—
82C2×C3×C4×D3D412yes—
83C2×C3×C4×D3C2312yes—
84C32×SD16—28no—
85C2×C32×C8—22no—
86C2×C32×C8C2312yescomplemented
87C3×#215—28no—
88C3×(C2×D3)⋊C4—24no—
89C3×C4⋊Dic3—21no—
90C3×C4⋊Dic3C2312yescomplemented
91C3×Dic3⋊C4—24no—
92C2×C3×C3⋊C8—22no—
93C2×C3×C3⋊C8C2312yescomplemented
94C2×#450—31noSylow
95C25×C3—61no—
96C24×D3—21no—
97C22×C3×Q8—21no—
98C22×C3×Q8C2×D311yescharacteristic, complemented
99C22×C3×Q8C22×C311yescharacteristic, complemented
100C22×C3×D4—21no—
101C22×C3×D4—34no—
102C22×C3×D4—31no—
103C22×C3×D4—62no—
104C22×C3×D4—61no—
105C22×C3×D4—64no—
106C22×C3×D4—64no—
107C22×C3×D4C2×D311yescharacteristic
108C22×C3×D4C22×C311yescharacteristic
109C23×C3×C4—31no—
110C22×#67—21no—
111C2×D3×D4—24no—
112C2×D3×D4—24no—
113C2×D3×D4—22no—
114C2×D3×D4C22×C314yes—
115C22×D12C22×C311yescharacteristic
116C22×C4×D3C22×C311yescharacteristic
117C2×C3×SD16—28no—
118C2×C3×SD16—24no—
119C2×C3×SD16—24no—
120C2×C3×SD16—24no—
121C2×C3×SD16—34no—
122C2×C3×SD16—64no—
123C2×C3×SD16C2×D314yescomplemented
124C2×C3×SD16C22×C314yescomplemented
125C22×C3×C8—21no—
126C22×C3×C8—31no—
127C22×C3×C8C2×D311yescharacteristic, complemented
128C22×C3×C8C22×C311yescharacteristic, complemented
129C3×C22⋊Q8—34no—
130C3×C22⋊Q8—62no—
131C2×C3×C4⋊C4—31no—
132C2×C3×C4⋊C4—61no—
133C2×C3×C22⋊C4—61no—
134#946—22no—
135#946C22×C314yescomplemented
136C2×#215—24no—
137C2×#215C22×C314yescomplemented
138C2×(C2×D3)⋊C4—21no—
139C2×C4⋊Dic3C22×C311yescharacteristic, complemented
140C2×Dic3⋊C4—21no—
141C22×C3⋊C8C22×C311yescharacteristic, complemented
142C3×#102—34no—
143C3×#102—34no—
144C3×C22⋊C8—34no—
145#832C22×C314yescomplemented
146#821C22×C314yescomplemented
147(C2×D3)⋊C8C22×C314yescomplemented
148C23×C32—24no—
149C23×C32—22no—
150C23×C32—42no—
151C23×C32—42no—
152C23×C32C2×D411yescharacteristic
153C22×C3×D3—22no—
154C22×C3×D3—22no—
155C22×C3×D3—216no—
156C22×C3×D3—24no—
157C22×C3×D3—22no—
158C22×C3×D3—48no—
159C22×C3×D3—432no—
160C22×C3×D3—42no—
161C22×C3×D3—42no—
162C22×C3×D3—48no—
163C22×C3×D3SD1614yescomplemented
164C22×C3×D3C2×D412yes—
165C32×Q8—22no—
166C32×Q8—22no—
167C32×Q8—42no—
168C32×D4—24no—
169C32×D4—22no—
170C32×D4C2×D414yes—
171C2×C32×C4—22no—
172C2×C32×C4—42no—
173C2×C32×C4C2×D411yescharacteristic
174C2×C32×C4C2×D412yes—
175C2×C32×C4C2×D412yes—
176C2×C32×C4C2411yescharacteristic
177C3×#67—216no—
178C2×C3×Dic3—22no—
179C2×C3×Dic3—22no—
180C2×C3×Dic3—42no—
181C2×C3×Dic3C2×D412yes—
182C3×D12—24no—
183C3×D12—22no—
184C3×D12C2×D414yes—
185C3×C4×D3—24no—
186C3×C4×D3—22no—
187C3×C4×D3—22no—
188C32×C8—22no—
189C3×C3⋊C8—22no—
190C23×D4—31no—
191C22×SD16—31no—
192C22×SD16C3×D311yescharacteristic, complemented
193C2×C22⋊Q8—31no—
194#450—38no—
195C2×#102—31no—
196C2×#102—31no—
197C2×C22⋊C8—31no—
198C24×C3—21no—
199C24×C3—21no—
200C24×C3—31no—
201C24×C3—41no—
202C24×C3—64no—
203C24×C3—68no—
204C24×C3—61no—
205C24×C3—124no—
206C24×C3—124no—
207C23×D3—28no—
208C23×D3—21no—
209C23×D3—24no—
210C23×D3—44no—
211C23×D3—44no—
212C23×D3C3×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—24no—
216C2×C3×Q8—22no—
217C2×C3×Q8—22no—
218C2×C3×Q8—22no—
219C2×C3×Q8—22no—
220C2×C3×Q8—22no—
221C2×C3×Q8—41no—
222C2×C3×Q8—42no—
223C2×C3×Q8C22×D312yescomplemented
224C2×C3×Q8C23×C312yescomplemented
225C2×C3×D4—21no—
226C2×C3×D4—22no—
227C2×C3×D4—21no—
228C2×C3×D4—22no—
229C2×C3×D4—24no—
230C2×C3×D4—22no—
231C2×C3×D4—34no—
232C2×C3×D4—32no—
233C2×C3×D4—41no—
234C2×C3×D4—42no—
235C2×C3×D4—64no—
236C2×C3×D4—68no—
237C2×C3×D4—616no—
238C2×C3×D4—68no—
239C2×C3×D4—68no—
240C2×C3×D4—61no—
241C2×C3×D4—62no—
242C2×C3×D4#6714yes—
243C2×C3×D4C3×D414yes—
244C2×C3×D4C22×D312yes—
245C2×C3×D4C23×C312yes—
246C22×C3×C4—21no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—31no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—41no—
253C22×C3×C4—62no—
254C22×C3×C4—62no—
255C22×C3×C4—61no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C23×C311yescharacteristic
258C2×#67—28no—
259C2×#67—24no—
260C22×Dic3—21no—
261C22×Dic3C3×D411yescharacteristic
262D3×D4—216no—
263D3×D4—28no—
264D3×D4—28no—
265C2×D12—21no—
266C2×D12—22no—
267C2×D12C3×D414yes—
268C2×D12C23×C312yes—
269C2×C4×D3—22no—
270C2×C4×D3—22no—
271C2×C4×D3C3×D412yes—
272C2×C4×D3C23×C312yes—
273C3×SD16—216no—
274C3×SD16—28no—
275C3×SD16—28no—
276C3×SD16—68no—
277C2×C3×C8—24no—
278C2×C3×C8—22no—
279C2×C3×C8—22no—
280C2×C3×C8—22no—
281C2×C3×C8—32no—
282C2×C3×C8—62no—
283C2×C3×C8C22×D312yescomplemented
284C2×C3×C8C23×C312yescomplemented
285C3×C4⋊C4—32no—
286C3×C4⋊C4—64no—
287C3×C4⋊C4—61no—
288C3×C22⋊C4—64no—
289#215—28no—
290(C2×D3)⋊C4—24no—
291C4⋊Dic3—21no—
292C4⋊Dic3C23×C312yescomplemented
293Dic3⋊C4—24no—
294C2×C3⋊C8—22no—
295C2×C3⋊C8C23×C312yescomplemented
296C22×C32—24no—
297C22×C32—42no—
298C22×C32—42no—
299C22×C32—48no—
300C22×C32#12012yes—
301C22×C32C2×SD1612yes—
302C22×C32AGL(1,ℤ/8)12yes—
303C22×C32C22×D411yescharacteristic
304C2×C3×D3—22no—
305C2×C3×D3—22no—
306C2×C3×D3—28no—
307C2×C3×D3—24no—
308C2×C3×D3—432no—
309C2×C3×D3—42no—
310C2×C3×D3—42no—
311C2×C3×D3—48no—
312C2×C3×D3C2×SD1614yescomplemented
313C32×C4—42no—
314C32×C4#12012yes—
315C32×C4C22×D411yescharacteristic
316C32×C4C22×D411yescharacteristic
317C3×Dic3—22no—
318C3×Dic3—42no—
319C25—61no—
320C22×Q8C2×C3×D311yescharacteristic, complemented
321C22×D4—34no—
322C22×D4—31no—
323C22×D4—62no—
324C22×D4—61no—
325C22×D4—64no—
326C22×D4—64no—
327C22×D4C2×C3×D311yescharacteristic
328C23×C4—31no—
329C2×SD16—24no—
330C2×SD16—34no—
331C2×SD16—64no—
332C2×SD16C2×C3×D314yescomplemented
333C22×C8—31no—
334C22×C8C2×C3×D311yescharacteristic, complemented
335C22⋊Q8—34no—
336C22⋊Q8—62no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—61no—
339C2×C22⋊C4—61no—
340#102—34no—
341#102—34no—
342C22⋊C8—34no—
343C23×C3—24no—
344C23×C3—24no—
345C23×C3—22no—
346C23×C3—22no—
347C23×C3—21no—
348C23×C3—34no—
349C23×C3—32no—
350C23×C3—44no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—42no—
356C23×C3—616no—
357C23×C3—62no—
358C23×C3—62no—
359C23×C3—64no—
360C23×C3—62no—
361C23×C3—82no—
362C23×C3—82no—
363C23×C3—128no—
364C23×C3—1232no—
365C23×C3—128no—
366C23×C3—122no—
367C23×C3—122no—
368C23×C3D3×D411yescharacteristic
369C23×C3C2×C3×D411yescharacteristic
370C22×D3—22no—
371C22×D3—22no—
372C22×D3—216no—
373C22×D3—24no—
374C22×D3—22no—
375C22×D3—48no—
376C22×D3—432no—
377C22×D3—42no—
378C22×D3—42no—
379C22×D3—48no—
380C22×D3C3×SD1614yescomplemented
381C22×D3C2×C3×D412yes—
382C3×Q8—24no—
383C3×Q8—22no—
384C3×Q8—22no—
385C3×Q8—22no—
386C3×Q8—22no—
387C3×Q8—42no—
388C3×Q8—44no—
389C3×Q8—42no—
390C3×Q8—42no—
391C3×D4—24no—
392C3×D4—24no—
393C3×D4—22no—
394C3×D4—22no—
395C3×D4—24no—
396C3×D4—34no—
397C3×D4—44no—
398C3×D4—42no—
399C3×D4—616no—
400C3×D4—64no—
401C3×D4—62no—
402C3×D4C2×#6714yes—
403C3×D4C2×C3×D414yes—
404C2×C3×C4—22no—
405C2×C3×C4—22no—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—22no—
409C2×C3×C4—22no—
410C2×C3×C4—32no—
411C2×C3×C4—42no—
412C2×C3×C4—44no—
413C2×C3×C4—42no—
414C2×C3×C4—42no—
415C2×C3×C4—62no—
416C2×C3×C4—64no—
417C2×C3×C4—62no—
418C2×C3×C4—62no—
419C2×C3×C4—62no—
420C2×C3×C4—122no—
421C2×C3×C4D3×D411yescharacteristic
422C2×C3×C4D3×D412yes—
423C2×C3×C4C2×#6712yes—
424C2×C3×C4C2×C3×D411yescharacteristic
425C2×C3×C4C2×C3×D412yes—
426C2×C3×C4C2×C3×D412yes—
427C2×C3×C4C23×D311yescharacteristic
428C2×C3×C4C24×C311yescharacteristic
429#67—216no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—42no—
433C2×Dic3C2×C3×D412yes—
434D12—24no—
435D12—22no—
436D12C2×C3×D414yes—
437C4×D3—24no—
438C4×D3—22no—
439C4×D3—22no—
440C3×C8—24no—
441C3×C8—22no—
442C3×C8—22no—
443C3×C8—62no—
444C3⋊C8—22no—
445C2×C32—44no—
446C2×C32#45014yescomplemented
447C2×C32C2×#12011yescharacteristic
448C2×C32C22×SD1611yescharacteristic
449C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
450C3×D3—24no—
451C3×D3—44no—
452C24—21no—
453C24—31no—
454C24—64no—
455C24—68no—
456C24—61no—
457C24—124no—
458C24—124no—
459C2×Q8—21no—
460C2×Q8—22no—
461C2×Q8—22no—
462C2×Q8C22×C3×D312yescomplemented
463C2×D4—21no—
464C2×D4—22no—
465C2×D4—32no—
466C2×D4—34no—
467C2×D4—64no—
468C2×D4—68no—
469C2×D4—616no—
470C2×D4—68no—
471C2×D4—68no—
472C2×D4—61no—
473C2×D4—62no—
474C2×D4C3×#6714yes—
475C2×D4C22×C3×D312yes—
476C22×C4—21no—
477C22×C4—31no—
478C22×C4—32no—
479C22×C4—32no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—61no—
483C22×C4C22×C3×D311yescharacteristic
484SD16—28no—
485SD16—68no—
486C2×C8—22no—
487C2×C8—32no—
488C2×C8—62no—
489C2×C8C22×C3×D312yescomplemented
490C4⋊C4—32no—
491C4⋊C4—64no—
492C4⋊C4—61no—
493C22⋊C4—64no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—22no—
497C22×C3—22no—
498C22×C3—22no—
499C22×C3—21no—
500C22×C3—34no—
501C22×C3—44no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—48no—
505C22×C3—42no—
506C22×C3—42no—
507C22×C3—48no—
508C22×C3—68no—
509C22×C3—62no—
510C22×C3—62no—
511C22×C3—64no—
512C22×C3—88no—
513C22×C3—82no—
514C22×C3—82no—
515C22×C3—1232no—
516C22×C3—128no—
517C22×C3—122no—
518C22×C3—122no—
519C22×C3D3×SD1612yes—
520C22×C3#91412yes—
521C22×C3#93712yes—
522C22×C3C3×#12012yes—
523C22×C3C2×C3×SD1612yes—
524C22×C3C3×AGL(1,ℤ/8)12yes—
525C22×C3C2×D3×D411yescharacteristic
526C22×C3C22×C3×D411yescharacteristic
527C2×D3—22no—
528C2×D3—28no—
529C2×D3—22no—
530C2×D3—24no—
531C2×D3—432no—
532C2×D3—42no—
533C2×D3—42no—
534C2×D3—48no—
535C2×D3C2×C3×SD1614yescomplemented
536C3×C4—22no—
537C3×C4—21no—
538C3×C4—21no—
539C3×C4—44no—
540C3×C4—42no—
541C3×C4—42no—
542C3×C4—62no—
543C3×C4—122no—
544C3×C4#93712yes—
545C3×C4C3×#12012yes—
546C3×C4C2×D3×D411yescharacteristic
547C3×C4C22×#6711yescharacteristic
548C3×C4C22×C3×D411yescharacteristic
549C3×C4C22×C3×D411yescharacteristic
550Dic3—22no—
551Dic3—42no—
552C32C2×#45011yescharacteristic, complemented, Sylow
553C23—24no—
554C23—22no—
555C23—34no—
556C23—32no—
557C23—42no—
558C23—42no—
559C23—616no—
560C23—62no—
561C23—62no—
562C23—64no—
563C23—62no—
564C23—128no—
565C23—1232no—
566C23—128no—
567C23—122no—
568C23—122no—
569C23C3×D3×D411yescharacteristic
570Q8—22no—
571Q8—22no—
572Q8—42no—
573D4—24no—
574D4—22no—
575D4—34no—
576D4—616no—
577D4—64no—
578D4—62no—
579D4C2×C3×#6714yes—
580C2×C4—22no—
581C2×C4—32no—
582C2×C4—42no—
583C2×C4—62no—
584C2×C4—64no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—62no—
588C2×C4—122no—
589C2×C4C3×D3×D411yescharacteristic
590C2×C4C3×D3×D412yes—
591C2×C4C2×C3×#6712yes—
592C2×C4C23×C3×D311yescharacteristic
593C8—22no—
594C8—62no—
595C2×C3—24no—
596C2×C3—21no—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—44no—
600C2×C3—44no—
601C2×C3—64no—
602C2×C3—84no—
603C2×C3—124no—
604C2×C3#516914yesdirect product factor
605C2×C3C3×#45014yescomplemented
606C2×C3C2×D3×SD1611yescharacteristic
607C2×C3C2×#91411yescharacteristic
608C2×C3C2×#93711yescharacteristic
609C2×C3C2×C3×#12011yescharacteristic
610C2×C3C22×C3×SD1611yescharacteristic
611C2×C3C2×C3×AGL(1,ℤ/8)11yescharacteristic
612D3—24no—
613D3—44no—
614C22—24no—
615C22—34no—
616C22—48no—
617C22—42no—
618C22—42no—
619C22—68no—
620C22—62no—
621C22—62no—
622C22—64no—
623C22—1232no—
624C22—128no—
625C22—122no—
626C22—122no—
627C22C3×D3×SD1612yes—
628C22C3×#91412yes—
629C22C3×#93712yes—
630C22C2×C3×D3×D411yescharacteristic
631C4—42no—
632C4—62no—
633C4—122no—
634C4C3×#93712yes—
635C4C2×C3×D3×D411yescharacteristic
636C4C22×C3×#6711yescharacteristic
637C3—21no—
638C3C2×#516911yescharacteristic, direct product factor
639C3C2×C3×#45011yescharacteristic, complemented
640C2—44no—
641C2—64no—
642C2—124no—
643C2C3×#516914yesdirect product factor
644C2C2×C3×D3×SD1611yescharacteristic
645C2C2×C3×#91411yescharacteristic
646C2C2×C3×#93711yescharacteristic
subgroupG/H
centerC23×C3D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC22×C32×SD16C2
socleC23×C32C2×D4
prime radicalC22×C3×D3×D4C2
hypercenterC22×C3×SD16D3
hypocenterC3C2×C3×#450
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×SD16

Complements

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

NH ≅ G/Ntype
2. C22×C32×SD16C2semidirect
3. C2×C3×#946C2semidirect
4. C22×C3×#215C2semidirect
5. C2×C3×#832C2semidirect
6. C3×#5169C2direct (N × H)
7. C2×C3×#821C2semidirect
8. C2×C3×(C2×D3)⋊C8C2semidirect
10. C2×#5169C3direct (N × H)
12. C22×C32×Q8C22semidirect
22. C2×C32×SD16C22semidirect
23. C22×C32×C8C22semidirect
25. C3×#946C22semidirect
27. C2×C3×#215C22semidirect
29. C2×C3×C4⋊Dic3C22semidirect
31. C22×C3×C3⋊C8C22semidirect
32. C3×#832C22semidirect
33. C3×#821C22semidirect
34. C3×(C2×D3)⋊C8C22semidirect
39. C22×C3×SD16D3semidirect
40. C22×C3×SD16C2×C3semidirect
42. C2×#946C2×C3semidirect
43. C22×#215C2×C3semidirect
48. C2×#832C2×C3semidirect
49. #5169C2×C3direct (N × H)
50. C2×#821C2×C3semidirect
51. C2×(C2×D3)⋊C8C2×C3semidirect
62. C2×C32×Q8C23semidirect
86. C2×C32×C8C23semidirect
90. C3×C4⋊Dic3C23semidirect
93. C2×C3×C3⋊C8C23semidirect
98. C22×C3×Q8C2×D3semidirect
99. C22×C3×Q8C22×C3semidirect
123. C2×C3×SD16C2×D3semidirect
124. C2×C3×SD16C22×C3semidirect
127. C22×C3×C8C2×D3semidirect
128. C22×C3×C8C22×C3semidirect
135. #946C22×C3semidirect
137. C2×#215C22×C3semidirect
139. C2×C4⋊Dic3C22×C3semidirect
141. C22×C3⋊C8C22×C3semidirect
145. #832C22×C3semidirect
146. #821C22×C3semidirect
147. (C2×D3)⋊C8C22×C3semidirect
163. C22×C3×D3SD16semidirect
192. C22×SD16C3×D3semidirect
223. C2×C3×Q8C22×D3semidirect
224. C2×C3×Q8C23×C3semidirect
283. C2×C3×C8C22×D3semidirect
284. C2×C3×C8C23×C3semidirect
292. C4⋊Dic3C23×C3semidirect
295. C2×C3⋊C8C23×C3semidirect
312. C2×C3×D3C2×SD16semidirect
320. C22×Q8C2×C3×D3semidirect
332. C2×SD16C2×C3×D3semidirect
334. C22×C8C2×C3×D3semidirect
380. C22×D3C3×SD16semidirect
446. C2×C32#450semidirect
462. C2×Q8C22×C3×D3semidirect
489. C2×C8C22×C3×D3semidirect
535. C2×D3C2×C3×SD16semidirect
552. C32C2×#450semidirect
604. C2×C3#5169direct (N × H)
605. C2×C3C3×#450semidirect
638. C3C2×#5169direct (N × H)
639. C3C2×C3×#450semidirect
643. C2C3×#5169direct (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×C32×SD162
C2×C3×#9462
C22×C3×#2152
C2×C3×#8322
C3×#51692
C2×C3×#8212
C2×C3×(C2×D3)⋊C82
C2×C3×#4503
C2×#51693