Finite Group Databasebeta

← Dic3×#949 #11860318

Subgroups — Dic3×#949 #11860318

Order 1152.

1177 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×Dic3×#41C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic
3C2×Dic3×D12C211yesmaximal, characteristic, complemented
4#10592931C211yesmaximal, characteristic, complemented
5#10591566C212yesmaximal, complemented
6Dic3×#215C212yesmaximal, complemented
7#10591430C212yesmaximal, complemented
8Dic3×#213C212yesmaximal, complemented
9#10591131C211yesmaximal, characteristic, complemented
10#10591085C211yesmaximal, characteristic, complemented
11Dic3×#208C211yesmaximal, characteristic, complemented
12Dic3×AGL(1,ℤ/8)—31nomaximal
13C4×#949—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×D3×Dic3—21no—
17C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
18C2×#3748C2211yescharacteristic
19C3×#949C418yescomplemented
20C3×Q8×Dic3C2211yescharacteristic, complemented
21C3×Q8×Dic3C2211yescharacteristic, complemented
22C2×C3×#215C2212yes—
23C3×D4×Dic3—21no—
24C3×D4×Dic3—21no—
25C3×D4×Dic3C2211yescharacteristic, complemented
26C3×D4×Dic3C2211yescharacteristic, complemented
27C2×C3×#213C2212yes—
28C3×#926—21no—
29C3×#926C2211yescharacteristic
30C2×C3×C4×Dic3—21no—
31C2×C3×C4×Dic3C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×(C2×D3)⋊Dic3—21no—
34Dic3×D12—21no—
35Dic3×D12—21no—
36Dic3×D12C2212yes—
37Dic3×D12C2212yes—
38#63662C2212yescomplemented
39#63659C2212yescomplemented
40#63575C2212yescomplemented
41#63573C2212yescomplemented
42#63562C2212yes—
43#63562C2212yes—
44#63554C2212yescomplemented
45Dic3×C3⋊C8C2212yescomplemented
46C2×C3×AGL(1,ℤ/8)—31no—
47C3×C4×#41—31no—
48Dic3×#41D311yescharacteristic, complemented
49C2×#949D311yescharacteristic
50C2×D4×Dic3—31no—
51C2×C4×D12—31no—
52#5232—31no—
53#5232—31no—
54#5232—61no—
55#5215—31no—
56#5164—32no—
57Dic3×SD16—32no—
58#5152—32no—
59Dic3×D8—32no—
60#5121—31no—
61Dic3×M16—31no—
62#5026—32no—
63C4×#215—32no—
64#5014—32no—
65C4×#213—32no—
66#5001—31no—
67#4995—31no—
68C4×#208—31no—
69C23×C3×D3—21no—
70C32×#41—22no—
71C32×#41C2×C414yescomplemented
72C2×C32×Q8C2311yescharacteristic
73C2×C32×D4—21no—
74C2×C32×D4C2311yescharacteristic
75C22×C32×C4—21no—
76C22×C32×C4C2311yescharacteristic
77C22×C3⋊Dic3—21no—
78C22×C3×Dic3—21no—
79C22×C3×Dic3—21no—
80C22×C3×Dic3D411yescharacteristic
81C22×C3×Dic3D411yescharacteristic
82C2×C3×D12—21no—
83C2×C3×D12—22no—
84C2×C3×D12C2×C414yescomplemented
85C2×C3×D12C2312yes—
86C2×D3×Dic3—22no—
87C2×D3×Dic3—22no—
88C2×D3×Dic3—44no—
89C4⋊(C3⋊Dic3)—21no—
90C4⋊(C3⋊Dic3)C2312yes—
91#3748—22no—
92C2×C3⋊(C3⋊C8)C2312yes—
93C3×#217—21no—
94C3×#217—21no—
95C3×#217—21no—
96C3×#215C2×C418yescomplemented
97C3×#213C2×C418yescomplemented
98C3×C4⋊Dic3—21no—
99C3×C4⋊Dic3—21no—
100C3×C4⋊Dic3C2311yescharacteristic
101C3×C4⋊Dic3C2311yescharacteristic
102C3×C4×Dic3—21no—
103C3×C4×Dic3—21no—
104C3×C4×Dic3—21no—
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3C2311yescharacteristic
108C3×C4×Dic3C2311yescharacteristic
109C3×#208C2×C414yescomplemented
110C2×C3×C3⋊C8C2312yes—
111(C2×D3)⋊Dic3—22no—
112(C2×D3)⋊Dic3—22no—
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—21no—
115C2×C3×#41C2×D311yescharacteristic
116C2×C3×#41C2×D311yescharacteristic
117C22×C3×D4—31no—
118C23×Dic3—61no—
119C22×D12C2×D311yescharacteristic
120C22×C4×D3—61no—
121C3×AGL(1,ℤ/8)—38no—
122C2×C3×SD16—32no—
123C2×C3×D8—32no—
124C2×C3×M16—31no—
125C3×C4×Q8—31no—
126C3×C4×Q8—31no—
127C3×C4×D4—31no—
128C3×C4×D4—31no—
129C3×C4×D4—61no—
130C3×C4×D4—61no—
131C3×#117—31no—
132C3×#117—61no—
133C2×C3×C42—31no—
134C2×C3×C42—61no—
135C2×#217—61no—
136#949Dic318yesdirect product factor
137Q8×Dic3C2×D311yescharacteristic, complemented
138Q8×Dic3C2×D311yescharacteristic, complemented
139C2×#215C2×D312yes—
140D4×Dic3—21no—
141D4×Dic3—21no—
142D4×Dic3—32no—
143D4×Dic3—32no—
144D4×Dic3—61no—
145D4×Dic3—61no—
146D4×Dic3C2×D311yescharacteristic, complemented
147D4×Dic3C2×D311yescharacteristic, complemented
148C2×#213C2×D312yes—
149C2×(C2×D3)⋊C4—61no—
150#926—21no—
151#926C2×D311yescharacteristic
152C2×C4⋊Dic3—31no—
153C2×C4⋊Dic3—31no—
154C2×C4⋊Dic3—61no—
155C2×C4×Dic3—21no—
156C2×C4×Dic3C2×D311yescharacteristic
157C2×#208—31no—
158C2×#208—31no—
159C2×#208—61no—
160C2×#208C2×D311yescharacteristic
161C4×D12—32no—
162C4×D12—32no—
163C4×D12—61no—
164C4×D12—61no—
165#835—32no—
166#835—32no—
167#835—62no—
168#832—32no—
169#832—32no—
170#832—32no—
171#832—32no—
172#832—62no—
173#818—32no—
174#817—32no—
175#815—32no—
176C8×Dic3—32no—
177#809—32no—
178#809—32no—
179#808—32no—
180#807—32no—
181#803—32no—
182C4×C3⋊C8—32no—
183C23×C32—21no—
184C23×C32C2×D411yescharacteristic
185C22×C3×D3—24no—
186C22×C3×D3—22no—
187C22×C3×D3—42no—
188C22×C3×D3—42no—
189C32×Q8—21no—
190C32×Q8C22×C412yescomplemented
191C32×D4—24no—
192C32×D4—21no—
193C32×D4C22×C412yescomplemented
194C2×C32×C4—21no—
195C2×C32×C4—24no—
196C2×C32×C4C22×C412yes—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4#4112yes—
199C2×C32×C4C2411yescharacteristic
200C2×C3⋊Dic3—22no—
201C2×C3⋊Dic3—42no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—41no—
206C2×C3×Dic3—42no—
207C2×C3×Dic3—42no—
208C2×C3×Dic3C2×D411yescharacteristic
209C2×C3×Dic3C2×D411yescharacteristic
210C2×C3×Dic3C2×D411yescharacteristic
211C2×C3×Dic3C2×D411yescharacteristic
212C3×D12—24no—
213C3×D12—22no—
214C3×D12C22×C414yes—
215D3×Dic3—44no—
216D3×Dic3—44no—
217C3⋊(C3⋊C8)—22no—
218C3×C3⋊C8C22×C414yescomplemented
219C2×AGL(1,ℤ/8)—31no—
220C4×#41—31no—
221C2×C4×D4—91no—
222#442—92no—
223#440—92no—
224C4×SD16—92no—
225C4×D8—92no—
226#428—91no—
227#418—91no—
228#417—91no—
229C4×M16—91no—
230C24×C3—61no—
231C23×D3—21no—
232C3×#41—22no—
233C3×#41—22no—
234C3×#41—24no—
235C3×#41—42no—
236C3×#41C4×D314yescomplemented
237C3×#41C2×Dic314yescomplemented
238C2×C3×Q8—21no—
239C2×C3×Q8C22×D311yescharacteristic
240C2×C3×Q8C22×D311yescharacteristic
241C2×C3×D4—21no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—34no—
245C2×C3×D4—32no—
246C2×C3×D4—41no—
247C2×C3×D4—62no—
248C2×C3×D4—61no—
249C2×C3×D4C22×D311yescharacteristic
250C2×C3×D4C22×D311yescharacteristic
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—41no—
257C22×C3×C4—61no—
258C22×C3×C4—61no—
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×Dic3—21no—
262C22×Dic3—21no—
263C22×Dic3—61no—
264C22×Dic3—61no—
265C22×Dic3—62no—
266C22×Dic3—62no—
267C22×Dic3—121no—
268C22×Dic3—124no—
269C22×Dic3#6711yescharacteristic
270C22×Dic3#6711yescharacteristic
271C2×D12—21no—
272C2×D12—22no—
273C2×D12C2×Dic314yescomplemented
274C2×D12C22×D312yes—
275C2×C4×D3—62no—
276C2×C4×D3—62no—
277C2×C4×D3—124no—
278C3×SD16—38no—
279C3×D8—38no—
280C3×M16—34no—
281C2×C3×C8—32no—
282C3×C4⋊C4—31no—
283C3×C4⋊C4—31no—
284C3×C4⋊C4—61no—
285C3×C4⋊C4—61no—
286C3×C22⋊C4—61no—
287C3×C22⋊C4—61no—
288C3×C22⋊C4—61no—
289C3×C42—31no—
290C3×C42—31no—
291C3×C42—31no—
292C3×C42—31no—
293C3×C42—61no—
294C3×C42—61no—
295C3×C42—61no—
296#217—21no—
297#217—21no—
298#217—21no—
299#217—62no—
300#217—62no—
301#215C2×Dic318yescomplemented
302#213C2×Dic318yescomplemented
303(C2×D3)⋊C4—62no—
304(C2×D3)⋊C4—62no—
305C4⋊Dic3—21no—
306C4⋊Dic3—21no—
307C4⋊Dic3—32no—
308C4⋊Dic3—32no—
309C4⋊Dic3—62no—
310C4⋊Dic3—61no—
311C4⋊Dic3—61no—
312C4⋊Dic3—121no—
313C4⋊Dic3C22×D311yescharacteristic
314C4⋊Dic3C22×D311yescharacteristic
315C4×Dic3—21no—
316C4×Dic3—21no—
317C4×Dic3—21no—
318C4×Dic3#6711yescharacteristic
319C4×Dic3#6711yescharacteristic
320C4×Dic3C22×D311yescharacteristic
321C4×Dic3C22×D311yescharacteristic
322#208—62no—
323#208—62no—
324#208—122no—
325#208C2×Dic314yescomplemented
326C2×C3⋊C8—32no—
327C2×C3⋊C8—32no—
328C2×C3⋊C8—62no—
329C2×C3⋊C8C22×D312yes—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32—22no—
333C22×C32—41no—
334C22×C32—41no—
335C22×C32C4×D412yes—
336C22×C32C22×D411yescharacteristic
337C2×C3×D3—24no—
338C2×C3×D3—48no—
339C2×C3×D3—42no—
340C2×C3×D3—42no—
341C32×C4—22no—
342C32×C4C4×D412yes—
343C32×C4C23×C411yescharacteristic
344C32×C4C2×#4111yescharacteristic
345C3⋊Dic3—42no—
346C3×Dic3—21no—
347C3×Dic3—21no—
348C3×Dic3—21no—
349C3×Dic3—41no—
350C3×Dic3—41no—
351C3×Dic3AGL(1,ℤ/8)12yescomplemented
352C2×#41D3211yescharacteristic
353C22×D4—31no—
354C23×C4—181no—
355AGL(1,ℤ/8)—38no—
356C2×SD16—32no—
357C2×D8—32no—
358C2×M16—31no—
359C2×M16—91no—
360C4×Q8—31no—
361C4×Q8—31no—
362C4×D4—31no—
363C4×D4—31no—
364C4×D4—61no—
365C4×D4—61no—
366C4×D4—92no—
367C4×D4—92no—
368C4×D4—181no—
369C4×D4—181no—
370#117—31no—
371#117—61no—
372C2×C4⋊C4—91no—
373C2×C22⋊C4—181no—
374C2×C42—31no—
375C2×C42—61no—
376#107—92no—
377#106—92no—
378#103—92no—
379#102—92no—
380#102—92no—
381#102—92no—
382#97—92no—
383C4×C8—92no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—41no—
388C23×C3—64no—
389C23×C3—62no—
390C23×C3—122no—
391C23×C3—122no—
392C23×C3D3×D411yescharacteristic
393C23×C3C2×#6711yescharacteristic
394C22×D3—24no—
395C22×D3—22no—
396C22×D3—42no—
397C22×D3—42no—
398C3×Q8—21no—
399C3×Q8—21no—
400C3×Q8—22no—
401C3×Q8—41no—
402C3×Q8C2×C4×D312yescomplemented
403C3×Q8C22×Dic312yescomplemented
404C3×D4—24no—
405C3×D4—24no—
406C3×D4—21no—
407C3×D4—21no—
408C3×D4—22no—
409C3×D4—34no—
410C3×D4—41no—
411C3×D4—44no—
412C3×D4—64no—
413C3×D4—62no—
414C3×D4C2×C4×D312yescomplemented
415C3×D4C22×Dic312yescomplemented
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—21no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—31no—
425C2×C3×C4—31no—
426C2×C3×C4—31no—
427C2×C3×C4—31no—
428C2×C3×C4—44no—
429C2×C3×C4—41no—
430C2×C3×C4—62no—
431C2×C3×C4—61no—
432C2×C3×C4—61no—
433C2×C3×C4—122no—
434C2×C3×C4—121no—
435C2×C3×C4—122no—
436C2×C3×C4C2×C4×D312yes—
437C2×C3×C4#23512yes—
438C2×C3×C4D3×D411yescharacteristic
439C2×C3×C4#23712yes—
440C2×C3×C4C22×Dic312yes—
441C2×C3×C4C2×#6711yescharacteristic
442C2×C3×C4C23×D311yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×Dic3—22no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—41no—
448C2×Dic3—42no—
449C2×Dic3—42no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—122no—
453C2×Dic3—124no—
454C2×Dic3—122no—
455C2×Dic3—122no—
456C2×Dic3—124no—
457C2×Dic3—242no—
458C2×Dic3C2×#6711yescharacteristic
459C2×Dic3C2×#6711yescharacteristic
460C2×Dic3C2×#6711yescharacteristic
461C2×Dic3C2×#6711yescharacteristic
462D12—24no—
463D12—22no—
464D12C22×Dic314yes—
465C4×D3—124no—
466C4×D3—124no—
467C3×C8—34no—
468C3⋊C8—62no—
469C3⋊C8—62no—
470C3⋊C8—122no—
471C3⋊C8C22×Dic314yescomplemented
472C2×C32—22no—
473C2×C32—42no—
474C2×C32C2×C4×D411yescharacteristic
475C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
476C2×C32#57511yescharacteristic
477C3×D3—44no—
478C24—61no—
479#41—22no—
480#41D3×Dic314yescomplemented
481C2×Q8C2×D3211yescharacteristic
482C2×D4—21no—
483C2×D4—32no—
484C2×D4—34no—
485C2×D4—62no—
486C2×D4—61no—
487C2×D4C2×D3211yescharacteristic
488C22×C4—21no—
489C22×C4—31no—
490C22×C4—31no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—182no—
494C22×C4—182no—
495C22×C4—181no—
496C22×C4—364no—
497C22×C4C2×D3211yescharacteristic
498SD16—38no—
499D8—38no—
500M16—34no—
501M16—182no—
502C2×C8—32no—
503C2×C8—92no—
504C4⋊C4—31no—
505C4⋊C4—31no—
506C4⋊C4—61no—
507C4⋊C4—61no—
508C4⋊C4—92no—
509C4⋊C4—181no—
510C22⋊C4—61no—
511C22⋊C4—61no—
512C22⋊C4—61no—
513C22⋊C4—182no—
514C22⋊C4—182no—
515C42—31no—
516C42—31no—
517C42—31no—
518C42—31no—
519C42—61no—
520C42—61no—
521C42—61no—
522C22×C3—21no—
523C22×C3—21no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—22no—
530C22×C3—41no—
531C22×C3—41no—
532C22×C3—42no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—41no—
537C22×C3—64no—
538C22×C3—81no—
539C22×C3—81no—
540C22×C3—128no—
541C22×C3—122no—
542C22×C3—122no—
543C22×C3C4×#6712yes—
544C22×C3D4×Dic312yes—
545C22×C3C2×D3×D411yescharacteristic
546C22×C3C22×#6711yescharacteristic
547C2×D3—24no—
548C2×D3—48no—
549C2×D3—42no—
550C2×D3—42no—
551C3×C4—22no—
552C3×C4—22no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—22no—
556C3×C4—32no—
557C3×C4—42no—
558C3×C4—61no—
559C3×C4—61no—
560C3×C4—61no—
561C3×C4—121no—
562C3×C4—121no—
563C3×C4C4×#6712yes—
564C3×C4D4×Dic312yes—
565C3×C4C22×C4×D311yescharacteristic
566C3×C4C2×#23511yescharacteristic
567C3×C4C2×#23711yescharacteristic
568C3×C4C23×Dic311yescharacteristic
569Dic3—21no—
570Dic3—21no—
571Dic3—21no—
572Dic3—41no—
573Dic3—41no—
574Dic3—122no—
575Dic3—122no—
576Dic3—242no—
577Dic3#94912yesdirect product factor
578C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
579C23—21no—
580C23—62no—
581C23—64no—
582C23—122no—
583C23—122no—
584C23D3×#6711yescharacteristic
585Q8—21no—
586Q8C2×D3×Dic312yescomplemented
587D4—24no—
588D4—21no—
589D4—34no—
590D4—62no—
591D4—64no—
592D4C2×D3×Dic312yescomplemented
593C2×C4—21no—
594C2×C4—24no—
595C2×C4—31no—
596C2×C4—31no—
597C2×C4—31no—
598C2×C4—31no—
599C2×C4—62no—
600C2×C4—61no—
601C2×C4—61no—
602C2×C4—122no—
603C2×C4—121no—
604C2×C4—122no—
605C2×C4—182no—
606C2×C4—364no—
607C2×C4—364no—
608C2×C4—362no—
609C2×C4C2×D3×Dic312yes—
610C2×C4#380412yes—
611C2×C4D3×#6711yescharacteristic
612C2×C4C22×D3211yescharacteristic
613C8—34no—
614C8—182no—
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—42no—
621C2×C3—42no—
622C2×C3—42no—
623C2×C3—82no—
624C2×C3—124no—
625C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
626C2×C3#577311yescharacteristic
627C2×C3C2×C4×#6711yescharacteristic
628C2×C3C2×D4×Dic311yescharacteristic
629C2×C3C2×#94911yescharacteristic
630C2×C3#582211yescharacteristic
631D3—44no—
632C22—21no—
633C22—21no—
634C22—22no—
635C22—41no—
636C22—41no—
637C22—64no—
638C22—128no—
639C22—122no—
640C22—122no—
641C22Dic3×#6712yes—
642C22C2×D3×#6711yescharacteristic
643C4—22no—
644C4—32no—
645C4—61no—
646C4—61no—
647C4—61no—
648C4—121no—
649C4—121no—
650C4—362no—
651C4Dic3×#6712yes—
652C4C22×D3×Dic311yescharacteristic
653C4C2×#380411yescharacteristic
654C3—21no—
655C3C4×#94911yescharacteristic, complemented
656C3Dic3×AGL(1,ℤ/8)11yescharacteristic, complemented
657C2—22no—
658C2—42no—
659C2—124no—
660C2D3×#94911yescharacteristic
661C2#1059546911yescharacteristic
662C2C2×Dic3×#6711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
prime radicalC2×C3×#949C2
cosocleC2×C32×C4C24
hypercenterC2×#41D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C3×Dic3×#41C2semidirect
3. C2×Dic3×D12C2semidirect
4. #10592931C2semidirect
5. #10591566C2semidirect
6. Dic3×#215C2semidirect
7. #10591430C2semidirect
8. Dic3×#213C2semidirect
9. #10591131C2semidirect
10. #10591085C2semidirect
11. Dic3×#208C2semidirect
19. C3×#949C4semidirect
20. C3×Q8×Dic3C22semidirect
21. C3×Q8×Dic3C22semidirect
25. C3×D4×Dic3C22semidirect
26. C3×D4×Dic3C22semidirect
38. #63662C22semidirect
39. #63659C22semidirect
40. #63575C22semidirect
41. #63573C22semidirect
44. #63554C22semidirect
45. Dic3×C3⋊C8C22semidirect
48. Dic3×#41D3semidirect
71. C32×#41C2×C4semidirect
84. C2×C3×D12C2×C4semidirect
96. C3×#215C2×C4semidirect
97. C3×#213C2×C4semidirect
109. C3×#208C2×C4semidirect
136. #949Dic3direct (N × H)
137. Q8×Dic3C2×D3semidirect
138. Q8×Dic3C2×D3semidirect
146. D4×Dic3C2×D3semidirect
147. D4×Dic3C2×D3semidirect
190. C32×Q8C22×C4semidirect
193. C32×D4C22×C4semidirect
218. C3×C3⋊C8C22×C4semidirect
236. C3×#41C4×D3semidirect
237. C3×#41C2×Dic3semidirect
273. C2×D12C2×Dic3semidirect
301. #215C2×Dic3semidirect
302. #213C2×Dic3semidirect
325. #208C2×Dic3semidirect
351. C3×Dic3AGL(1,ℤ/8)semidirect
402. C3×Q8C2×C4×D3semidirect
403. C3×Q8C22×Dic3semidirect
414. C3×D4C2×C4×D3semidirect
415. C3×D4C22×Dic3semidirect
471. C3⋊C8C22×Dic3semidirect
480. #41D3×Dic3semidirect
577. Dic3#949direct (N × H)
578. C32C4×AGL(1,ℤ/8)semidirect
586. Q8C2×D3×Dic3semidirect
592. D4C2×D3×Dic3semidirect
655. C3C4×#949semidirect
656. C3Dic3×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C3×Dic3×#412
C2×C3×#9492
C2×Dic3×D122
#105929312
#105915662
Dic3×#2152
#105914302
Dic3×#2132
#105911312
#105910852
Dic3×#2082
Dic3×AGL(1,ℤ/8)3
C4×#9493