Finite Group Databasebeta

← D3×#63822 #13170523

Subgroups — D3×#63822 #13170523

Order 1728.

1286 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D3×#235C212yesmaximal, complemented
2#11723660C211yesmaximal, characteristic, complemented
3#11723363C212yesmaximal, complemented
4C2×D3×C3⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
5C3×#63822C211yesmaximal, characteristic, complemented
6#11722852C211yesmaximal, characteristic, complemented
7#11722851C212yesmaximal, complemented
8#11722850C211yesmaximal, characteristic, complemented
9D3×#3718C211yesmaximal, characteristic, complemented
10D3×#3715C212yesmaximal, complemented
11D3×#3713C211yesmaximal, characteristic, complemented
12D3×#950—32nomaximal
13C2×#63822—31nomaximal
14C3×#3828C2212yescomplemented
15C32×#235C2212yescomplemented
16C2×C32×C4×D3C2211yescharacteristic
17C3×D3×#67—22no—
18C3×#3804—22no—
19C3×D3×D12C2212yes—
20C3×C4×D32—22no—
21C3×#3799C2212yescomplemented
22C3×#3798—22no—
23C3×#3795C2212yescomplemented
24C3×D3×Dic6C2212yes—
25C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
26C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
27#88812C2211yescharacteristic, complemented
28#88811C2212yescomplemented
29#88810C2211yescharacteristic, complemented
30#88798C2212yescomplemented
31#88793C2212yescomplemented
32#88792C2212yescomplemented
33#88789C2212yescomplemented
34D3×C3⋊(C3⋊C8)C2211yescharacteristic
35D3×C3⋊(C3⋊C8)C2211yescharacteristic
36D3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
37D3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
38C3×#3718C2211yescharacteristic, complemented
39C3×#3715C2212yescomplemented
40C3×#3713C2211yescharacteristic, complemented
41C3×D3×#41—32no—
42C2×C3×#235—32no—
43D3×#235D312yescomplemented
44#64159—32no—
45C22×C3⋊(C3⋊C8)—31no—
46C3×#950—32no—
47#63949—32no—
48#63947—32no—
49D3×#216—32no—
50D3×#215—32no—
51#63935—32no—
52#63933—32no—
53D3×#214—32no—
54D3×#213—32no—
55C2×#3718—31no—
56#63829—32no—
57C2×#3715—32no—
58#63822—32no—
59#63822—32no—
60#63822—31no—
61#63822—31no—
62#63822—32no—
63#63822—31no—
64#63822—62no—
65#63822D311yescharacteristic, direct product factor
66C2×#3713—31no—
67C2×D3×C3⋊C8—32no—
68C2×D3×C3⋊C8—61no—
69C22×C32×D3D411yescharacteristic
70C2×C3×D32—22no—
71C2×C33×C4C2311yescharacteristic
72C3×#638—22no—
73C3×C4⋊(C3⋊D3)C2312yes—
74C3×C4×C3⋊D3—22no—
75C3×#634C2312yes—
76C32×#67—22no—
77C2×C32×Dic3D411yescharacteristic
78C32×D12C2312yes—
79C32×C4×D3—22no—
80C32×C4×D3D411yescharacteristic
81C32×C4×D3D411yescharacteristic
82C32×C4×D3C2311yescharacteristic
83C32×C4×D3C2311yescharacteristic
84C32×Dic6C2312yes—
85C3×#627—22no—
86C3×#626—22no—
87C3×#626—22no—
88C3×#625—22no—
89C3×#624—22no—
90C3×D3×Dic3—22no—
91C3×D3×Dic3—22no—
92C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic
93C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic
94C3×C3⋊(C3⋊C8)C2311yescharacteristic
95C3×C3⋊(C3⋊C8)C2311yescharacteristic
96C2×#950—92no—
97D3×#135—91no—
98C32×#41—32no—
99C22×C32×C4—31no—
100#3828C2×D312yescomplemented
101C2×C3×#67—62no—
102C3×#239—32no—
103C3×D3×Q8—32no—
104C3×#237—32no—
105C3×#237—62no—
106C3×D3×D4—32no—
107C3×D3×D4—62no—
108C3×#235—22no—
109C3×#235—32no—
110C3×#235—32no—
111C3×#235—32no—
112C3×#235—32no—
113C3×#235—62no—
114C3×#235—62no—
115C3×#235—62no—
116C3×#235—62no—
117C3×#235C2×D312yescomplemented
118C3×#235C2×D312yescomplemented
119C2×C3×D12—32no—
120C2×C3×C4×D3—21no—
121C2×C3×C4×D3—62no—
122C2×C3×C4×D3—62no—
123C2×C3×C4×D3C2×D312yes—
124C2×C3×Dic6—32no—
125D3×#67—22no—
126#3804—22no—
127D3×D12C2×D312yes—
128C4×D32—22no—
129#3799C2×D312yescomplemented
130#3798—22no—
131#3795C2×D312yescomplemented
132D3×Dic6C2×D312yes—
133#3756—32no—
134#3755—32no—
135#3754—32no—
136#3753—32no—
137C2×C3⋊(C3⋊C8)—32no—
138C2×C3⋊(C3⋊C8)—31no—
139C2×C3⋊(C3⋊C8)—31no—
140C2×C3⋊(C3⋊C8)—31no—
141C2×C3⋊(C3⋊C8)—31no—
142C2×C3⋊(C3⋊C8)—31no—
143C2×C3⋊(C3⋊C8)—61no—
144C2×C3⋊(C3⋊C8)—62no—
145C2×C3⋊(C3⋊C8)—121no—
146C2×C3⋊(C3⋊C8)C2×D311yescharacteristic, complemented
147C3×#216—32no—
148C3×#215—32no—
149C3×#214—32no—
150C3×#213—32no—
151C2×C3×C3⋊C8—32no—
152C2×C3×C3⋊C8—61no—
153#3719—32no—
154#3718—32no—
155#3718—32no—
156#3718—31no—
157#3718—62no—
158#3718C2×D311yescharacteristic, complemented
159#3717—32no—
160#3716—32no—
161#3715—32no—
162#3715—32no—
163#3715—32no—
164#3715—32no—
165#3715—32no—
166#3715—62no—
167#3715—62no—
168#3715C2×D312yescomplemented
169#3714—32no—
170#3713—32no—
171#3713—32no—
172#3713—31no—
173#3713—62no—
174#3713C2×D311yescharacteristic, complemented
175D3×C3⋊C8—32no—
176D3×C3⋊C8—32no—
177D3×C3⋊C8—32no—
178D3×C3⋊C8—32no—
179D3×C3⋊C8—61no—
180D3×C3⋊C8—61no—
181D3×C3⋊C8—61no—
182D3×C3⋊C8—61no—
183C22×C33C2×D411yescharacteristic
184C2×C3×C3⋊D3—22no—
185C2×C32×D3—22no—
186C2×C32×D3—22no—
187C2×C32×D3C2×D411yescharacteristic
188C2×C32×D3C2×D411yescharacteristic
189C3×D32—44no—
190C33×C4C2×D411yescharacteristic
191C33×C4C2411yescharacteristic
192C3×C3⋊Dic3—22no—
193C32×Dic3—22no—
194C32×Dic3C2×D411yescharacteristic
195C32×Dic3C2×D411yescharacteristic
196C2×C3×#41—92no—
197D3×#41—32no—
198C2×#235—32no—
199C3×#135—91no—
200#950—32no—
201#950—92no—
202#950—92no—
203#950—92no—
204#950—92no—
205#950—92no—
206#950—92no—
207#950—92no—
208#950—92no—
209#950—182no—
210C2×#216—92no—
211C2×#215—92no—
212C2×#214—92no—
213C2×#213—92no—
214C22×C3⋊C8—92no—
215C22×C3⋊C8—181no—
216#919—91no—
217D3×Q16—91no—
218#916—92no—
219D3×SD16—92no—
220#912—91no—
221D3×D8—91no—
222#904—91no—
223C2×D3×C8—91no—
224C23×C32—31no—
225C22×C3×D3—21no—
226C22×C3×D3—62no—
227C22×C3×D3—62no—
228C22×C3×D3#6712yes—
229C2×D32—22no—
230C32×Q8—32no—
231C32×D4—32no—
232C32×D4—62no—
233C2×C32×C4—21no—
234C2×C32×C4—22no—
235C2×C32×C4—31no—
236C2×C32×C4—31no—
237C2×C32×C4—31no—
238C2×C32×C4—31no—
239C2×C32×C4—31no—
240C2×C32×C4—41no—
241C2×C32×C4—62no—
242C2×C32×C4C22×D311yescharacteristic
243C2×C32×C4C22×D312yes—
244#638—22no—
245C4⋊(C3⋊D3)C22×D312yes—
246C4×C3⋊D3—22no—
247#634C22×D312yes—
248C3×#67—22no—
249C3×#67—22no—
250C3×#67—42no—
251C3×#67—62no—
252C3×#67—62no—
253C3×#67—62no—
254C3×#67—62no—
255C3×#67—62no—
256C3×#67—62no—
257C3×#67—122no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—62no—
260C2×C3×Dic3—62no—
261C2×C3×Dic3#6712yes—
262C3×D12—22no—
263C3×D12—32no—
264C3×D12—32no—
265C3×D12—62no—
266C3×D12—62no—
267C3×D12—62no—
268C3×D12C22×D312yes—
269C3×D12C22×D312yes—
270C3×C4×D3—22no—
271C3×C4×D3—22no—
272C3×C4×D3—21no—
273C3×C4×D3—21no—
274C3×C4×D3—21no—
275C3×C4×D3—21no—
276C3×C4×D3—42no—
277C3×C4×D3—62no—
278C3×C4×D3—62no—
279C3×C4×D3—62no—
280C3×C4×D3—62no—
281C3×C4×D3—62no—
282C3×C4×D3—62no—
283C3×C4×D3—122no—
284C3×C4×D3#6712yes—
285C3×C4×D3#6712yes—
286C3×C4×D3C22×D312yes—
287C3×C4×D3C22×D312yes—
288C3×Dic6—22no—
289C3×Dic6—32no—
290C3×Dic6—32no—
291C3×Dic6—62no—
292C3×Dic6—62no—
293C3×Dic6—62no—
294C3×Dic6C22×D312yes—
295C3×Dic6C22×D312yes—
296#627—22no—
297#626—22no—
298#626—22no—
299#625—22no—
300#624—22no—
301D3×Dic3—22no—
302D3×Dic3—22no—
303C3⋊(C3⋊C8)—32no—
304C3⋊(C3⋊C8)—32no—
305C3⋊(C3⋊C8)—31no—
306C3⋊(C3⋊C8)—31no—
307C3⋊(C3⋊C8)—61no—
308C3⋊(C3⋊C8)—61no—
309C3⋊(C3⋊C8)—62no—
310C3⋊(C3⋊C8)—62no—
311C3⋊(C3⋊C8)—121no—
312C3⋊(C3⋊C8)—121no—
313C3⋊(C3⋊C8)C22×D311yescharacteristic
314C3⋊(C3⋊C8)C22×D311yescharacteristic
315C3×C3⋊C8—32no—
316C3×C3⋊C8—32no—
317C3×C3⋊C8—61no—
318C3×C3⋊C8—61no—
319C2×#135—271noSylow
320C2×C33—21no—
321C2×C33C22×D411yescharacteristic
322C3×C3⋊D3—42no—
323C32×D3—21no—
324C32×D3—42no—
325C32×D3#13512yescomplemented
326C3×#41—32no—
327C3×#41—32no—
328C3×#41—62no—
329C3×#41—92no—
330C3×#41—92no—
331C3×#41—92no—
332C3×#41—182no—
333C3×#41—182no—
334C2×C3×Q8—92no—
335C2×C3×D4—92no—
336C2×C3×D4—182no—
337C22×C3×C4—32no—
338C22×C3×C4—61no—
339C22×C3×C4—182no—
340C2×#67—62no—
341#239—32no—
342D3×Q8—32no—
343#237—32no—
344#237—62no—
345D3×D4—32no—
346D3×D4—62no—
347#235—32no—
348#235—32no—
349#235—32no—
350#235—32no—
351#235—62no—
352#235—62no—
353#235—62no—
354#235—62no—
355#235D3212yescomplemented
356C2×D12—32no—
357C2×C4×D3—62no—
358C2×C4×D3—62no—
359C2×C4×D3D3211yescharacteristic
360C2×Dic6—32no—
361C3×Q16—91no—
362C3×SD16—92no—
363C3×D8—91no—
364C2×C3×C8—91no—
365#216—32no—
366#216—92no—
367#216—92no—
368#216—92no—
369#216—92no—
370#216—182no—
371#215—32no—
372#215—92no—
373#215—92no—
374#215—92no—
375#215—92no—
376#215—182no—
377#214—32no—
378#214—92no—
379#214—92no—
380#214—92no—
381#214—92no—
382#214—182no—
383#213—32no—
384#213—92no—
385#213—92no—
386#213—92no—
387#213—92no—
388#213—182no—
389C2×C3⋊C8—32no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—92no—
392C2×C3⋊C8—92no—
393C2×C3⋊C8—92no—
394C2×C3⋊C8—92no—
395C2×C3⋊C8—91no—
396C2×C3⋊C8—92no—
397C2×C3⋊C8—181no—
398C2×C3⋊C8—181no—
399C2×C3⋊C8—181no—
400C2×C3⋊C8—181no—
401C2×C3⋊C8—181no—
402C2×C3⋊C8—182no—
403C2×C3⋊C8—361no—
404Dic12—91no—
405D24—91no—
406#204—92no—
407D3×C8—91no—
408D3×C8—91no—
409D3×C8—91no—
410D3×C8—91no—
411C22×C32—21no—
412C22×C32—22no—
413C22×C32—31no—
414C22×C32—31no—
415C22×C32—41no—
416C22×C32—62no—
417C22×C32—62no—
418C22×C32D3×D411yescharacteristic
419C22×C32C2×#6712yes—
420C2×C3⋊D3—22no—
421C2×C3×D3—24no—
422C2×C3×D3—24no—
423C2×C3×D3—22no—
424C2×C3×D3—22no—
425C2×C3×D3—21no—
426C2×C3×D3—21no—
427C2×C3×D3—42no—
428C2×C3×D3—62no—
429C2×C3×D3—62no—
430C2×C3×D3—122no—
431C2×C3×D3—124no—
432C2×C3×D3—124no—
433C2×C3×D3C2×#6712yes—
434C2×C3×D3C2×#6712yes—
435D32—44no—
436C32×C4—21no—
437C32×C4—22no—
438C32×C4—21no—
439C32×C4—22no—
440C32×C4—31no—
441C32×C4—31no—
442C32×C4—41no—
443C32×C4—41no—
444C32×C4—62no—
445C32×C4D3×D411yescharacteristic
446C32×C4C2×#6712yes—
447C32×C4C23×D311yescharacteristic
448C32×C4C23×D312yes—
449C3⋊Dic3—22no—
450C3×Dic3—22no—
451C3×Dic3—22no—
452C3×Dic3—21no—
453C3×Dic3—21no—
454C3×Dic3—42no—
455C3×Dic3—62no—
456C3×Dic3—62no—
457C3×Dic3—122no—
458C3×Dic3C2×#6712yes—
459C3×Dic3C2×#6712yes—
460C2×#41—92no—
461#135—91no—
462#135—271no—
463#135—271no—
464#135—272no—
465#135—271no—
466#135—272no—
467C2×Q16—271no—
468C2×SD16—272no—
469C2×D8—271no—
470C22×C8—271no—
471C33C2×#13511yescharacteristic, complemented, Sylow
472C23×C3—32no—
473C23×C3—61no—
474C23×C3—182no—
475C22×D3—62no—
476C22×D3—62no—
477C22×D3#62511yescharacteristic
478C3×Q8—32no—
479C3×Q8—32no—
480C3×Q8—62no—
481C3×Q8—92no—
482C3×Q8—182no—
483C3×D4—32no—
484C3×D4—32no—
485C3×D4—62no—
486C3×D4—62no—
487C3×D4—62no—
488C3×D4—92no—
489C3×D4—122no—
490C3×D4—182no—
491C3×D4—182no—
492C3×D4—182no—
493C3×D4—182no—
494C2×C3×C4—21no—
495C2×C3×C4—22no—
496C2×C3×C4—32no—
497C2×C3×C4—32no—
498C2×C3×C4—32no—
499C2×C3×C4—32no—
500C2×C3×C4—32no—
501C2×C3×C4—41no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—62no—
508C2×C3×C4—62no—
509C2×C3×C4—122no—
510C2×C3×C4—182no—
511C2×C3×C4—182no—
512C2×C3×C4—182no—
513C2×C3×C4—182no—
514C2×C3×C4C2×D3211yescharacteristic
515C2×C3×C4C2×D3212yes—
516#67—22no—
517#67—62no—
518#67—62no—
519#67—62no—
520#67—62no—
521#67—62no—
522#67—62no—
523#67—122no—
524C2×Dic3—62no—
525C2×Dic3—62no—
526C2×Dic3#62511yescharacteristic
527D12—32no—
528D12—32no—
529D12—62no—
530D12—62no—
531D12—62no—
532D12C2×D3212yes—
533C4×D3—22no—
534C4×D3—62no—
535C4×D3—62no—
536C4×D3—62no—
537C4×D3—62no—
538C4×D3—62no—
539C4×D3—62no—
540C4×D3—122no—
541C4×D3#62511yescharacteristic
542C4×D3#62511yescharacteristic
543C4×D3C2×D3211yescharacteristic
544C4×D3C2×D3211yescharacteristic
545Dic6—32no—
546Dic6—32no—
547Dic6—62no—
548Dic6—62no—
549Dic6—62no—
550Dic6C2×D3212yes—
551C3×C8—91no—
552C3×C8—91no—
553C3⋊C8—32no—
554C3⋊C8—32no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—91no—
558C3⋊C8—91no—
559C3⋊C8—92no—
560C3⋊C8—92no—
561C3⋊C8—181no—
562C3⋊C8—181no—
563C3⋊C8—182no—
564C3⋊C8—182no—
565C3⋊C8—361no—
566C3⋊C8—361no—
567C2×C32—21no—
568C2×C32—22no—
569C2×C32—22no—
570C2×C32—21no—
571C2×C32—22no—
572C2×C32—32no—
573C2×C32—41no—
574C2×C32—42no—
575C2×C32—42no—
576C2×C32—61no—
577C2×C32—122no—
578C2×C32C2×D3×D411yescharacteristic
579C2×C32C22×#6712yes—
580C3⋊D3—42no—
581C3×D3—22no—
582C3×D3—22no—
583C3×D3—22no—
584C3×D3—42no—
585C3×D3—42no—
586C3×D3—82no—
587C3×D3—122no—
588C3×D3—122no—
589C3×D3—242no—
590C3×D3#95014yescomplemented
591#41—32no—
592#41—92no—
593#41—92no—
594#41—92no—
595#41—182no—
596#41—182no—
597C2×Q8—92no—
598C2×D4—92no—
599C2×D4—182no—
600C22×C4—31no—
601C22×C4—182no—
602Q16—91no—
603Q16—271no—
604Q16—272no—
605SD16—92no—
606SD16—272no—
607SD16—272no—
608SD16—272no—
609D8—91no—
610D8—271no—
611D8—272no—
612C2×C8—91no—
613C2×C8—271no—
614C2×C8—271no—
615C2×C8—271no—
616C2×C8—271no—
617C2×C8—271no—
618C22×C3—21no—
619C22×C3—22no—
620C22×C3—32no—
621C22×C3—32no—
622C22×C3—41no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—64no—
626C22×C3—64no—
627C22×C3—62no—
628C22×C3—62no—
629C22×C3—122no—
630C22×C3—182no—
631C22×C3—364no—
632C22×C3C2×#62511yescharacteristic
633C22×C3D3×#6712yes—
634C2×D3—22no—
635C2×D3—22no—
636C2×D3—62no—
637C2×D3—62no—
638C2×D3—122no—
639C2×D3—124no—
640C2×D3—124no—
641C2×D3C2×#62511yescharacteristic
642C2×D3C2×#62511yescharacteristic
643C3×C4—21no—
644C3×C4—22no—
645C3×C4—22no—
646C3×C4—21no—
647C3×C4—32no—
648C3×C4—32no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—61no—
652C3×C4—61no—
653C3×C4—62no—
654C3×C4—62no—
655C3×C4—122no—
656C3×C4—182no—
657C3×C4C2×#62511yescharacteristic
658C3×C4D3×#6712yes—
659C3×C4C22×D3211yescharacteristic
660C3×C4C22×D3212yes—
661Dic3—22no—
662Dic3—62no—
663Dic3—62no—
664Dic3—122no—
665Dic3C2×#62511yescharacteristic
666Dic3C2×#62511yescharacteristic
667C32—22no—
668C32—21no—
669C32—41no—
670C32D3×#13511yescharacteristic, complemented
671C32C2×#95012yescomplemented
672C23—31no—
673C23—182no—
674Q8—32no—
675Q8—92no—
676Q8—182no—
677D4—32no—
678D4—62no—
679D4—92no—
680D4—182no—
681D4—182no—
682D4—182no—
683D4—182no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—62no—
690C2×C4—182no—
691C2×C4—182no—
692C2×C4—182no—
693C2×C4—182no—
694C2×C4D3311yescharacteristic
695C8—91no—
696C8—91no—
697C8—271no—
698C8—271no—
699C2×C3—22no—
700C2×C3—22no—
701C2×C3—21no—
702C2×C3—22no—
703C2×C3—21no—
704C2×C3—34no—
705C2×C3—42no—
706C2×C3—42no—
707C2×C3—41no—
708C2×C3—62no—
709C2×C3—62no—
710C2×C3—62no—
711C2×C3—122no—
712C2×C3—122no—
713C2×C3—242no—
714C2×C3—362no—
715C2×C3C22×#62511yescharacteristic
716C2×C3C2×D3×#6712yes—
717D3—21no—
718D3—42no—
719D3—122no—
720D3—122no—
721D3—242no—
722D3#6382212yesdirect product factor
723C22—31no—
724C22—31no—
725C22—62no—
726C22—62no—
727C22—182no—
728C22—364no—
729C22D3×#62511yescharacteristic
730C4—31no—
731C4—31no—
732C4—62no—
733C4—182no—
734C4D3×#62511yescharacteristic
735C4C2×D3311yescharacteristic
736C3—22no—
737C3—21no—
738C3—41no—
739C3C2×#6382211yescharacteristic, complemented
740C3D3×#95012yescomplemented
741C2—21no—
742C2—32no—
743C2—61no—
744C2—122no—
745C2—362no—
746C2C2×D3×#62511yescharacteristic
subgroupG/H
centerC4D3×#625
commutator, cosocleC33×C4C24
FrattiniC4C2×D33
FittingC2×C33×C4C23
socleC2×C33C22×D4
hypercenterC2×C4D33
hypocenterC33C2×#135
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C4 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C3×D3×#235C2semidirect
2. #11723660C2semidirect
3. #11723363C2semidirect
4. C2×D3×C3⋊(C3⋊C8)C2semidirect
5. C3×#63822C2semidirect
6. #11722852C2semidirect
7. #11722851C2semidirect
8. #11722850C2semidirect
9. D3×#3718C2semidirect
10. D3×#3715C2semidirect
11. D3×#3713C2semidirect
14. C3×#3828C22semidirect
15. C32×#235C22semidirect
21. C3×#3799C22semidirect
23. C3×#3795C22semidirect
25. C2×C3⋊(C3⋊(C3⋊C8))C22semidirect
26. C2×C3×C3⋊(C3⋊C8)C22semidirect
27. #88812C22semidirect
28. #88811C22semidirect
29. #88810C22semidirect
30. #88798C22semidirect
31. #88793C22semidirect
32. #88792C22semidirect
33. #88789C22semidirect
36. D3×C3⋊(C3⋊C8)C22semidirect
37. D3×C3⋊(C3⋊C8)C22semidirect
38. C3×#3718C22semidirect
39. C3×#3715C22semidirect
40. C3×#3713C22semidirect
43. D3×#235D3semidirect
65. #63822D3direct (N × H)
100. #3828C2×D3semidirect
117. C3×#235C2×D3semidirect
118. C3×#235C2×D3semidirect
129. #3799C2×D3semidirect
131. #3795C2×D3semidirect
146. C2×C3⋊(C3⋊C8)C2×D3semidirect
158. #3718C2×D3semidirect
168. #3715C2×D3semidirect
174. #3713C2×D3semidirect
325. C32×D3#135semidirect
355. #235D32semidirect
471. C33C2×#135semidirect
590. C3×D3#950semidirect
670. C32D3×#135semidirect
671. C32C2×#950semidirect
722. D3#63822direct (N × H)
739. C3C2×#63822semidirect
740. C3D3×#950semidirect

Maximal subgroups

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

subgroupindex
C3×D3×#2352
#117236602
#117233632
C2×D3×C3⋊(C3⋊C8)2
C3×#638222
#117228522
#117228512
#117228502
D3×#37182
D3×#37152
D3×#37132
D3×#9503
C2×#638223