Finite Group Databasebeta

← D3×#5019 #11865486

Subgroups — D3×#5019 #11865486

Order 1152.

1148 conjugacy classes of subgroups.

The subgroup lattice has 667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×D3×D4C211yesmaximal, characteristic
2C2×D3×#214C212yesmaximal
3D3×#869C211yesmaximal, characteristic, complemented
4#10592718C211yesmaximal, characteristic, complemented
5C3×#5019C211yesmaximal, characteristic, complemented
6#10591489C212yesmaximal, complemented
7D3×#810C212yesmaximal, complemented
8#10590559C212yesmaximal, complemented
9#10590365C211yesmaximal, characteristic, complemented
10#10590363C211yesmaximal, characteristic, complemented
11D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
12C2×#5019—31nomaximal
13D3×#461—31nomaximal
14C2×C3×D3×D4C2211yescharacteristic
15C22×C3×C4×D3—21no—
16C2×D3×Dic6C2212yes—
17C32×C4×D4C2211yescharacteristic
18C2×#3754C2212yes—
19#64078C2211yescharacteristic, complemented
20C3×D4×Dic3C2211yescharacteristic
21C2×C3×#214C2212yes—
22C3×C4×#67—21no—
23C3×#893C2211yescharacteristic
24C3×D3×C4⋊C4C2211yescharacteristic
25C3×#67⋊C4—21no—
26C3×D3×C22⋊C4—21no—
27C3×C4×D12C2211yescharacteristic
28C3×C42×D3C2211yescharacteristic
29C3×#869C2211yescharacteristic, complemented
30D3×#214—28no—
31#63918—21no—
32#63918—21no—
33D3×C4⋊Dic3—21no—
34D3×C4⋊Dic3—21no—
35#63866C2212yescomplemented
36C2×#3716C2212yes—
37C2×#3715C2212yes—
38C2×D3×C3⋊C8C2212yes—
39#63637C2212yescomplemented
40C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
41C3×#810C2212yescomplemented
42C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
43Dic3⋊(C3⋊C8)C2212yescomplemented
44#63567C2212yescomplemented
45#63565C2212yescomplemented
46C2×C3×C4×D4—31no—
47C22×#214—32no—
48C2×D3×SD16—32no—
49D3×C4⋊Q8—31no—
50C4×D3×D4D311yescharacteristic
51C2×#869—31no—
52C3×#461—31no—
53#5162—32no—
54#5083—31no—
55#5019—31no—
56#5019—31no—
57#5019—32no—
58#5019—31no—
59#5019—32no—
60#5019—31no—
61#5019—61no—
62#5019D311yescharacteristic, direct product factor
63C2×#810—32no—
64C2×C4⋊(C3⋊C8)—31no—
65#4841—31no—
66D3×C4⋊C8—31no—
67#4818—32no—
68D3×#103—32no—
69C23×C3×D3—21no—
70C2×C32×D4C2311yescharacteristic
71C22×C32×C4—21no—
72C2×#634C2312yes—
73C2×C3×#67—21no—
74C22×C3×Dic3—21no—
75C3×D3×D4—22no—
76C3×D3×D4D414yes—
77C2×C3×D12C2311yescharacteristic
78C2×C3×C4×D3—21no—
79C2×C3×C4×D3—21no—
80C2×C3×C4×D3—21no—
81C2×C3×C4×D3—44no—
82C2×C3×C4×D3D411yescharacteristic
83C2×C3×C4×D3D411yescharacteristic
84C2×C3×C4×D3C2311yescharacteristic
85C2×C3×Dic6C2312yes—
86C2×#627—22no—
87C2×D3×Dic3—22no—
88D3×Dic6—24no—
89D3×Dic6—24no—
90C32×C4⋊C4C2311yescharacteristic
91C32×C22⋊C4—21no—
92C32×C42C2311yescharacteristic
93#3754—24no—
94C4⋊(C3⋊Dic3)—21no—
95C4⋊(C3⋊Dic3)—21no—
96C2×C3⋊(C3⋊C8)C2312yes—
97C3×#217—21no—
98C3×#214—24no—
99C3×(C2×D3)⋊C4—21no—
100C3×(C2×D3)⋊C4—21no—
101C3×C4⋊Dic3—21no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3C2311yescharacteristic
104C3×Dic3⋊C4—21no—
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3C2311yescharacteristic
108C2×C3×C3⋊C8C2312yes—
109Dic3⋊Dic3—22no—
110Dic3⋊Dic3—22no—
111#3716—24no—
112#3715—24no—
113D3×C3⋊C8—24no—
114C2×#461—91noSylow
115C22×C3×D4—31no—
116C23×C3×C4—61no—
117C2×D3×Q8—32no—
118C2×D3×D4C2×D311yescharacteristic
119C22×C4×D3—21no—
120C22×Dic6—32no—
121C2×C3×SD16—32no—
122C3×C4⋊Q8—31no—
123C3×C4×D4—21no—
124C3×C4×D4—31no—
125C3×C4×D4—31no—
126C3×C4×D4—31no—
127C3×C4×D4—61no—
128C3×C4×D4—61no—
129C3×C4×D4C2×D311yescharacteristic
130C3×C4×D4C2×D311yescharacteristic
131C2×C3×C4⋊C4—31no—
132C2×C3×C22⋊C4—61no—
133C2×C3×C42—31no—
134#944—32no—
135C2×#215—32no—
136D4×Dic3C2×D311yescharacteristic
137C2×#214—32no—
138C2×#214—32no—
139C2×#214—32no—
140C2×#214—32no—
141C2×#214—62no—
142C2×#214—68no—
143C2×#214C2×D312yes—
144C4×#67—21no—
145C2×C4⋊Dic3—61no—
146C2×C4⋊Dic3—61no—
147C22×C3⋊C8—32no—
148D3×SD16—68no—
149C2×#204—32no—
150C2×D3×C8—32no—
151#893C2×D311yescharacteristic
152D3×C4⋊C4—61no—
153D3×C4⋊C4—61no—
154D3×C4⋊C4C2×D311yescharacteristic
155#888—61no—
156#888—61no—
157#67⋊C4—21no—
158D3×C22⋊C4—21no—
159C4×D12C2×D311yescharacteristic
160C42×D3C2×D311yescharacteristic
161#869—32no—
162#869—31no—
163#869—31no—
164#869—61no—
165#869—61no—
166#869—61no—
167#869C2×D311yescharacteristic, complemented
168C3×C4⋊C8—31no—
169C3×#103—32no—
170#835—32no—
171#816—32no—
172Dic3⋊C8—32no—
173#810—32no—
174#810—32no—
175#810—32no—
176#810—32no—
177#810—62no—
178#810C2×D312yescomplemented
179C4⋊(C3⋊C8)—31no—
180C4⋊(C3⋊C8)—31no—
181C4⋊(C3⋊C8)—32no—
182C4⋊(C3⋊C8)—61no—
183C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
184C23×C32—21no—
185C22×C3×D3—21no—
186C22×C3×D3—24no—
187C22×C3×D3—42no—
188C22×C3×D3—42no—
189C22×C3×D3C2×D411yescharacteristic
190C32×D4—21no—
191C32×D4C2×D412yes—
192C2×C32×C4—21no—
193C2×C32×C4—42no—
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2×D411yescharacteristic
196C2×C32×C4C2411yescharacteristic
197C2×C3⋊Dic3—22no—
198#634—22no—
199#634—22no—
200C3×#67—24no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—42no—
204C2×C3×Dic3C2×D411yescharacteristic
205C2×C3×Dic3C2×D411yescharacteristic
206C2×C3×Dic3C2×D411yescharacteristic
207C3×D12—21no—
208C3×D12C2×D412yes—
209C3×C4×D3—22no—
210C3×C4×D3—42no—
211C3×C4×D3—42no—
212C3×C4×D3—42no—
213C3×C4×D3SD1614yescomplemented
214C3×C4×D3C2×D412yes—
215C3×C4×D3#4112yes—
216C3×Dic6—22no—
217C3×Dic6—22no—
218#627—44no—
219D3×Dic3—44no—
220C3⋊(C3⋊C8)—22no—
221C3×C3⋊C8—22no—
222C22×SD16—92no—
223C2×C4⋊Q8—91no—
224C2×C4×D4—31no—
225#461—31no—
226#461—92no—
227#461—91no—
228#461—91no—
229#461—92no—
230#461—91no—
231C2×C4⋊C8—91no—
232C2×#103—92no—
233C24×C3—61no—
234C23×D3—21no—
235C2×C3×Q8—32no—
236C2×C3×D4—21no—
237C2×C3×D4—34no—
238C2×C3×D4—31no—
239C2×C3×D4—62no—
240C2×C3×D4—61no—
241C2×C3×D4C22×D311yescharacteristic
242C2×C3×D4C22×D311yescharacteristic
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—31no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—41no—
249C22×C3×C4—61no—
250C22×C3×C4—61no—
251C22×C3×C4—61no—
252C22×C3×C4—61no—
253C22×C3×C4—124no—
254C2×#67—21no—
255C22×Dic3—21no—
256C22×Dic3—62no—
257D3×Q8—64no—
258D3×Q8—64no—
259D3×D4—22no—
260D3×D4D1214yes—
261C2×D12C22×D311yescharacteristic
262C2×C4×D3—21no—
263C2×C4×D3—21no—
264C2×C4×D3—21no—
265C2×C4×D3—44no—
266C2×C4×D3—62no—
267C2×C4×D3#6711yescharacteristic
268C2×C4×D3#6711yescharacteristic
269C2×C4×D3C22×D311yescharacteristic
270C2×Dic6—32no—
271C2×Dic6—32no—
272C2×Dic6—62no—
273C2×Dic6—64no—
274C2×Dic6—64no—
275C2×Dic6—62no—
276C2×Dic6—62no—
277C2×Dic6C22×D312yes—
278C3×SD16—64no—
279C2×C3×C8—32no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—31no—
282C3×C4⋊C4—61no—
283C3×C4⋊C4—61no—
284C3×C4⋊C4—61no—
285C3×C4⋊C4C22×D311yescharacteristic
286C3×C4⋊C4C22×D311yescharacteristic
287C3×C22⋊C4—21no—
288C3×C22⋊C4—21no—
289C3×C22⋊C4—41no—
290C3×C22⋊C4—61no—
291C3×C22⋊C4—61no—
292C3×C22⋊C4—61no—
293C3×C42—21no—
294C3×C42—31no—
295C3×C42—31no—
296C3×C42—31no—
297C3×C42C22×D311yescharacteristic
298C3×C42C22×D311yescharacteristic
299#217—21no—
300#215—64no—
301#214—24no—
302#214—64no—
303#214—64no—
304#214—64no—
305#214—64no—
306#214—124no—
307(C2×D3)⋊C4—21no—
308(C2×D3)⋊C4—21no—
309C4⋊Dic3—21no—
310C4⋊Dic3—21no—
311C4⋊Dic3—62no—
312C4⋊Dic3—62no—
313C4⋊Dic3—61no—
314C4⋊Dic3—61no—
315C4⋊Dic3—61no—
316C4⋊Dic3—61no—
317C4⋊Dic3—121no—
318C4⋊Dic3—121no—
319C4⋊Dic3C22×D311yescharacteristic
320Dic3⋊C4—21no—
321Dic3⋊C4—62no—
322Dic3⋊C4—62no—
323C4×Dic3#6711yescharacteristic
324C4×Dic3#6711yescharacteristic
325C4×Dic3C22×D311yescharacteristic
326C2×C3⋊C8—32no—
327C2×C3⋊C8—32no—
328C2×C3⋊C8—62no—
329C2×C3⋊C8—64no—
330C2×C3⋊C8C22×D312yes—
331#204—64no—
332D3×C8—64no—
333C22×C32—22no—
334C22×C32—41no—
335C22×C32—41no—
336C22×C32C22×D411yescharacteristic
337C2×C3×D3—22no—
338C2×C3×D3—41no—
339C2×C3×D3—41no—
340C2×C3×D3—48no—
341C2×C3×D3#12112yes—
342C2×C3×D3C2×SD1612yes—
343C2×C3×D3#13712yes—
344C32×C4—21no—
345C32×C4—41no—
346C32×C4C2×SD1612yescomplemented
347C32×C4C22×D411yescharacteristic
348C32×C4C2×#4111yescharacteristic
349C3⋊Dic3—42no—
350C3×Dic3—21no—
351C3×Dic3—42no—
352C3×Dic3—41no—
353C3×Dic3#12112yes—
354C3×Dic3C2×SD1612yescomplemented
355C22×Q8—92no—
356C22×D4—31no—
357C23×C4—61no—
358C2×SD16—32no—
359C2×SD16—92no—
360C2×SD16—92no—
361C2×SD16—92no—
362C2×SD16—188no—
363C22×C8—92no—
364C4⋊Q8—31no—
365C4⋊Q8—92no—
366C4⋊Q8—91no—
367C4⋊Q8—181no—
368C4⋊Q8—181no—
369C4×D4—31no—
370C4×D4—31no—
371C4×D4—31no—
372C4×D4—61no—
373C4×D4—61no—
374C4×D4D3211yescharacteristic
375C2×C4⋊C4—31no—
376C2×C4⋊C4—181no—
377C2×C4⋊C4—181no—
378C2×C22⋊C4—61no—
379C2×C42—31no—
380C4⋊C8—31no—
381C4⋊C8—92no—
382C4⋊C8—91no—
383#103—32no—
384#103—92no—
385#103—92no—
386#103—92no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—31no—
390C23×C3—41no—
391C23×C3—64no—
392C23×C3—61no—
393C23×C3—122no—
394C23×C3—122no—
395C22×D3—21no—
396C22×D3—24no—
397C22×D3—42no—
398C22×D3—42no—
399C22×D3C2×#6711yescharacteristic
400C3×Q8—62no—
401C3×Q8—62no—
402C3×D4—21no—
403C3×D4—21no—
404C3×D4—22no—
405C3×D4—32no—
406C3×D4—41no—
407C3×D4—64no—
408C3×D4—61no—
409C3×D4C2×D1212yes—
410C3×D4D3×D412yes—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—31no—
417C2×C3×C4—31no—
418C2×C3×C4—34no—
419C2×C3×C4—32no—
420C2×C3×C4—32no—
421C2×C3×C4—31no—
422C2×C3×C4—41no—
423C2×C3×C4—42no—
424C2×C3×C4—42no—
425C2×C3×C4—62no—
426C2×C3×C4—61no—
427C2×C3×C4—62no—
428C2×C3×C4—82no—
429C2×C3×C4—122no—
430C2×C3×C4—122no—
431C2×C3×C4—122no—
432C2×C3×C4—122no—
433C2×C3×C4D3×D411yescharacteristic
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4C2×#6711yescharacteristic
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C23×D311yescharacteristic
438C2×C3×C4C23×D311yescharacteristic
439#67—24no—
440C2×Dic3—22no—
441C2×Dic3—21no—
442C2×Dic3—42no—
443C2×Dic3—62no—
444C2×Dic3—62no—
445C2×Dic3—122no—
446C2×Dic3—124no—
447C2×Dic3C2×#6711yescharacteristic
448C2×Dic3C2×#6711yescharacteristic
449C2×Dic3C2×#6711yescharacteristic
450D12—21no—
451D12C2×D1212yes—
452C4×D3—22no—
453C4×D3—42no—
454C4×D3—42no—
455C4×D3—42no—
456C4×D3—124no—
457C4×D3#21414yescomplemented
458C4×D3C2×D1212yes—
459C4×D3#23512yes—
460Dic6—22no—
461Dic6—22no—
462Dic6—62no—
463Dic6—62no—
464Dic6—62no—
465Dic6—62no—
466Dic6—122no—
467Dic6—122no—
468Dic6—124no—
469Dic6—124no—
470C3×C8—62no—
471C3⋊C8—22no—
472C3⋊C8—62no—
473C3⋊C8—62no—
474C3⋊C8—122no—
475C2×C32—42no—
476C2×C32C2×#12111yescharacteristic
477C2×C32C22×SD1611yescharacteristic
478C2×C32C2×#13711yescharacteristic
479C3×D3—42no—
480C3×D3#46114yescomplemented
481C24—61no—
482C2×Q8—32no—
483C2×Q8—92no—
484C2×Q8—182no—
485C2×Q8—184no—
486C2×Q8—184no—
487C2×D4—34no—
488C2×D4—31no—
489C2×D4—62no—
490C2×D4—61no—
491C2×D4C2×D3211yescharacteristic
492C22×C4—21no—
493C22×C4—31no—
494C22×C4—31no—
495C22×C4—31no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—61no—
499C22×C4—61no—
500C22×C4—124no—
501C22×C4—182no—
502SD16—64no—
503SD16—184no—
504SD16—184no—
505SD16—184no—
506C2×C8—32no—
507C2×C8—92no—
508C2×C8—184no—
509C4⋊C4—31no—
510C4⋊C4—61no—
511C4⋊C4—61no—
512C4⋊C4—61no—
513C4⋊C4—182no—
514C4⋊C4—182no—
515C4⋊C4—181no—
516C4⋊C4—181no—
517C4⋊C4C2×D3211yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—61no—
520C22⋊C4—61no—
521C22⋊C4—61no—
522C42—31no—
523C42—31no—
524C42—31no—
525C42C2×D3211yescharacteristic
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—32no—
530C22×C3—32no—
531C22×C3—32no—
532C22×C3—42no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—41no—
537C22×C3—62no—
538C22×C3—81no—
539C22×C3—81no—
540C22×C3—128no—
541C22×C3—121no—
542C22×C3—121no—
543C22×C3C2×D3×D411yescharacteristic
544C22×C3C22×#6711yescharacteristic
545C2×D3—22no—
546C2×D3—41no—
547C2×D3—41no—
548C2×D3—48no—
549C2×D3#93012yes—
550C2×D3C2×#21412yes—
551C2×D3#95112yes—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—21no—
555C3×C4—21no—
556C3×C4—22no—
557C3×C4—32no—
558C3×C4—32no—
559C3×C4—41no—
560C3×C4—41no—
561C3×C4—41no—
562C3×C4—61no—
563C3×C4—81no—
564C3×C4—121no—
565C3×C4—122no—
566C3×C4D3×SD1612yescomplemented
567C3×C4C2×#21412yescomplemented
568C3×C4C22×D1211yescharacteristic
569C3×C4C2×#23511yescharacteristic
570C3×C4C2×D3×D411yescharacteristic
571C3×C4D3×#4111yescharacteristic
572Dic3—21no—
573Dic3—41no—
574Dic3—42no—
575Dic3—122no—
576Dic3—122no—
577Dic3—242no—
578Dic3#93012yes—
579Dic3C2×#21412yescomplemented
580C32C2×#46111yescharacteristic, complemented, Sylow
581C23—21no—
582C23—31no—
583C23—64no—
584C23—61no—
585C23—122no—
586C23—122no—
587Q8—62no—
588Q8—62no—
589Q8—182no—
590Q8—182no—
591Q8—364no—
592D4—21no—
593D4—32no—
594D4—64no—
595D4—61no—
596D4D3×D1212yes—
597C2×C4—21no—
598C2×C4—31no—
599C2×C4—31no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—34no—
603C2×C4—31no—
604C2×C4—42no—
605C2×C4—62no—
606C2×C4—61no—
607C2×C4—62no—
608C2×C4—122no—
609C2×C4—122no—
610C2×C4—122no—
611C2×C4—122no—
612C2×C4—182no—
613C2×C4—364no—
614C2×C4D3×#6711yescharacteristic
615C2×C4D3×#6711yescharacteristic
616C2×C4C22×D3211yescharacteristic
617C8—62no—
618C8—182no—
619C2×C3—21no—
620C2×C3—21no—
621C2×C3—21no—
622C2×C3—34no—
623C2×C3—42no—
624C2×C3—42no—
625C2×C3—82no—
626C2×C3—122no—
627C2×C3D3×#12111yescharacteristic
628C2×C3C2×D3×SD1611yescharacteristic
629C2×C3D3×#13711yescharacteristic
630C2×C3C2×#93011yescharacteristic
631C2×C3C22×#21411yescharacteristic
632C2×C3C2×#95111yescharacteristic
633D3—42no—
634D3#501914yesdirect product factor
635C22—22no—
636C22—32no—
637C22—32no—
638C22—32no—
639C22—41no—
640C22—41no—
641C22—62no—
642C22—128no—
643C22—121no—
644C22—121no—
645C22C2×D3×#6711yescharacteristic
646C4—21no—
647C4—32no—
648C4—32no—
649C4—41no—
650C4—61no—
651C4—121no—
652C4—122no—
653C4—362no—
654C4D3×#21412yescomplemented
655C4C2×D3×D1211yescharacteristic
656C4D3×#23511yescharacteristic
657C3—21no—
658C3D3×#46111yescharacteristic, complemented
659C3C2×#501911yescharacteristic, complemented
660C2—34no—
661C2—42no—
662C2—122no—
663C2D3×#93011yescharacteristic
664C2C2×D3×#21411yescharacteristic
665C2D3×#95111yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×D3×D4C22
hypercenterC4×D4D32
hypocenterC32C2×#461
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
3. D3×#869C2semidirect
4. #10592718C2semidirect
5. C3×#5019C2semidirect
6. #10591489C2semidirect
7. D3×#810C2semidirect
8. #10590559C2semidirect
9. #10590365C2semidirect
10. #10590363C2semidirect
11. D3×C4⋊(C3⋊C8)C2semidirect
19. #64078C22semidirect
29. C3×#869C22semidirect
35. #63866C22semidirect
39. #63637C22semidirect
40. C4⋊(C3⋊(C3⋊C8))C22semidirect
41. C3×#810C22semidirect
42. C3×C4⋊(C3⋊C8)C22semidirect
43. Dic3⋊(C3⋊C8)C22semidirect
44. #63567C22semidirect
45. #63565C22semidirect
62. #5019D3direct (N × H)
167. #869C2×D3semidirect
178. #810C2×D3semidirect
183. C4⋊(C3⋊C8)C2×D3semidirect
213. C3×C4×D3SD16semidirect
346. C32×C4C2×SD16semidirect
354. C3×Dic3C2×SD16semidirect
457. C4×D3#214semidirect
480. C3×D3#461semidirect
566. C3×C4D3×SD16semidirect
567. C3×C4C2×#214semidirect
579. Dic3C2×#214semidirect
580. C32C2×#461semidirect
634. D3#5019direct (N × H)
654. C4D3×#214semidirect
658. C3D3×#461semidirect
659. C3C2×#5019semidirect

Maximal subgroups

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

subgroupindex
C3×C4×D3×D42
C2×D3×#2142
D3×#8692
#105927182
C3×#50192
#105914892
D3×#8102
#105905592
#105903652
#105903632
D3×C4⋊(C3⋊C8)2
C2×#50193
D3×#4613