Finite Group Databasebeta

← #13178661

Subgroups — #13178661

Order 1728.

1618 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2#11724618C211yesmaximal, characteristic, complemented
3C3×#64141C212yesmaximal, complemented
4#11723706C214yesmaximal, complemented
5#11723704C212yesmaximal, complemented
6#11723702C212yesmaximal, complemented
7#11723661C212yesmaximal, complemented
8#11723656C211yesmaximal, characteristic, complemented
9#10595100—31nomaximal
10D3×#932—32nomaximal
11C23×C3×C3⋊D3—21no—
12C2×C33×D4C2211yescharacteristic, complemented
13C2×C3×#638—21no—
14C3×D4×C3⋊D3—21no—
15C3×D4×C3⋊D3—21no—
16C3×D4×C3⋊D3C2212yes—
17C3×D4×C3⋊D3C2212yescomplemented
18C3×#3828C2212yescomplemented
19C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
20C2×C3×C4×C3⋊D3C2211yescharacteristic
21#89049—21no—
22#89046—21no—
23C4⋊#1113C2211yescharacteristic, complemented
24C4×#1113—21no—
25#89042—21no—
26#89041C2212yescomplemented
27#89040C2211yescharacteristic, complemented
28C3×#3754C2214yescomplemented
29C3×#3753C2214yescomplemented
30C3×#3748C2212yescomplemented
31#88811C2214yescomplemented
32#88810C2214yescomplemented
33#88809C2212yescomplemented
34#88808C2212yescomplemented
35C2×D4×C3⋊D3D311yescharacteristic, complemented
36C2×C3×D3×D4—32no—
37C2×C3×D3×D4—61no—
38#64306—31no—
39D3×#235—32no—
40#64141D312yescomplemented
41C3×#932—32no—
42C3×#932—32no—
43C3×#932—62no—
44#63937—34no—
45#63934—34no—
46#63932—34no—
47#63930—32no—
48D3×#214—34no—
49#63926—32no—
50D3×#213—34no—
51#63830—32no—
52#63825—32no—
53#63823—32no—
54#63818—31no—
55D3×#208—32no—
56C23×C33—21no—
57C22×C3×C3⋊D3—21no—
58C22×C3×C3⋊D3—22no—
59C22×C3×C3⋊D3—22no—
60C22×C3×C3⋊D3—44no—
61C22×C3×C3⋊D3D411yescharacteristic
62C2×#1113—21no—
63C33×D4—21no—
64C33×D4C2312yes—
65C2×C33×C4C2311yescharacteristic
66C3×#638—22no—
67C3×#638—22no—
68C3×#638—22no—
69C2×C3×C3⋊Dic3D411yescharacteristic
70C3×C4⋊(C3⋊D3)—21no—
71C3×C4⋊(C3⋊D3)C2312yes—
72C3×C4⋊(C3⋊D3)C2312yescomplemented
73C3×C4×C3⋊D3—22no—
74C3×C4×C3⋊D3D411yescharacteristic
75C3×C4×C3⋊D3D411yescharacteristic
76C3×C4×C3⋊D3C2311yescharacteristic
77C3×C4×C3⋊D3C2311yescharacteristic
78C3×#634C2312yescomplemented
79#6296—21no—
80#6295—22no—
81#6295—21no—
82#6294—21no—
83#6294—22no—
84C3×C3⋊(C3⋊C8)C2314yescomplemented
85C2×#932—91no—
86D3×AGL(1,ℤ/8)—92no—
87C23×C3⋊D3—21no—
88C23×C3×D3—62no—
89C23×C3×D3—62no—
90C2×C32×D4—21no—
91C2×C32×D4—22no—
92C2×C32×D4—41no—
93C2×C32×D4C2×D311yescharacteristic, complemented
94C2×C32×D4C2×D312yescomplemented
95C2×#638—21no—
96D4×C3⋊D3—21no—
97D4×C3⋊D3—21no—
98D4×C3⋊D3C2×D312yes—
99D4×C3⋊D3C2×D312yescomplemented
100#3828C2×D312yescomplemented
101C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
102C2×C4×C3⋊D3C2×D311yescharacteristic
103C2×C3×#67—62no—
104C2×C3×#67—62no—
105C3×D3×D4—34no—
106C3×D3×D4—34no—
107C3×D3×D4—62no—
108C3×D3×D4—62no—
109C3×D3×D4—62no—
110C3×D3×D4—62no—
111C3×D3×D4—62no—
112C3×D3×D4—62no—
113C3×#235—32no—
114C3×#235—32no—
115C3×#235—62no—
116C2×C3×D12—32no—
117C2×C3×D12—61no—
118C2×C3×C4×D3—32no—
119C2×C3×C4×D3—61no—
120#3811—61no—
121D3×#67—62no—
122#3805—61no—
123#3804—62no—
124#3802—31no—
125D3×D12—32no—
126C4×D32—62no—
127C4×D32—61no—
128#3799—32no—
129#3798—62no—
130#3798—61no—
131#3797—31no—
132#3796—32no—
133#3795—32no—
134D3×Dic6—32no—
135#3754C2×D314yescomplemented
136#3753C2×D314yescomplemented
137#3748C2×D312yescomplemented
138C3×#214—34no—
139C3×#214—34no—
140C3×#214—64no—
141C3×#213—34no—
142C3×#213—34no—
143C3×#213—64no—
144C3×#208—32no—
145C3×#208—32no—
146C3×#208—62no—
147#3717—34no—
148#3716—34no—
149#3715—34no—
150#3714—34no—
151#3714—34no—
152#3713—34no—
153#3712—32no—
154#3711—34no—
155#3710—32no—
156D3×C3⋊C8—34no—
157C22×C33—22no—
158C22×C33—42no—
159C22×C33C2×D411yescharacteristic
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—22no—
162C2×C3×C3⋊D3—22no—
163C2×C3×C3⋊D3—44no—
164C2×C3×C3⋊D3—42no—
165C2×C3×C3⋊D3—44no—
166C2×C3×C3⋊D3C2×D411yescharacteristic
167C2×C3×C3⋊D3C2×D411yescharacteristic
168#1113—42no—
169C33×C4C2×D411yescharacteristic
170C33×C4C2411yescharacteristic
171C3×C3⋊Dic3—22no—
172C3×C3⋊Dic3C2×D411yescharacteristic
173C3×C3⋊Dic3C2×D411yescharacteristic
174C22×C3×D4—91no—
175D3×#41—92no—
176C2×D3×D4—32no—
177C2×D3×D4—61no—
178C2×#235—91no—
179C3×AGL(1,ℤ/8)—92no—
180#949—92no—
181C2×#214—92no—
182#932—32no—
183#932—32no—
184#932—62no—
185#932—92no—
186#932—94no—
187C2×#213—92no—
188C2×#208—91no—
189#914—94no—
190D3×SD16—94no—
191#911—94no—
192D3×D8—94no—
193#908—92no—
194D3×M16—92no—
195C23×C32—21no—
196C23×C32—22no—
197C23×C32—22no—
198C23×C32—42no—
199C23×C32—42no—
200C22×C3⋊D3—21no—
201C22×C3⋊D3—22no—
202C22×C3⋊D3—22no—
203C22×C3⋊D3—44no—
204C22×C3⋊D3#6711yescharacteristic
205C22×C3×D3—32no—
206C22×C3×D3—61no—
207C22×C3×D3—64no—
208C22×C3×D3—64no—
209C22×C3×D3—62no—
210C22×C3×D3—64no—
211C22×C3×D3—64no—
212C22×C3×D3—62no—
213C22×C3×D3—128no—
214C22×C3×D3—128no—
215C2×D32—62no—
216C2×D32—61no—
217C32×D4—21no—
218C32×D4—22no—
219C32×D4—22no—
220C32×D4—22no—
221C32×D4—24no—
222C32×D4—42no—
223C32×D4—42no—
224C32×D4—42no—
225C32×D4C22×D312yes—
226C32×D4C22×D314yes—
227C2×C32×C4—22no—
228C2×C32×C4—21no—
229C2×C32×C4—41no—
230C2×C32×C4C22×D312yes—
231C2×C32×C4C22×D311yescharacteristic
232#638—22no—
233#638—22no—
234#638—22no—
235C2×C3⋊Dic3#6711yescharacteristic
236C4⋊(C3⋊D3)—21no—
237C4⋊(C3⋊D3)C22×D312yes—
238C4⋊(C3⋊D3)C22×D312yescomplemented
239C4×C3⋊D3—22no—
240C4×C3⋊D3#6711yescharacteristic
241C4×C3⋊D3#6711yescharacteristic
242C4×C3⋊D3C22×D311yescharacteristic
243C4×C3⋊D3C22×D311yescharacteristic
244#634C22×D312yescomplemented
245C3×#67—64no—
246C3×#67—64no—
247C3×#67—64no—
248C3×#67—64no—
249C3×#67—62no—
250C3×#67—62no—
251C3×#67—122no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—61no—
254C3×D12—32no—
255C3×D12—34no—
256C3×D12—32no—
257C3×D12—62no—
258C3×D12—62no—
259C3×D12—62no—
260C3×D12—62no—
261C3×C4×D3—32no—
262C3×C4×D3—32no—
263C3×C4×D3—32no—
264C3×C4×D3—32no—
265C3×C4×D3—61no—
266C3×C4×D3—61no—
267C3×C4×D3—61no—
268C3×C4×D3—61no—
269C3×C4×D3—62no—
270C3×C4×D3—62no—
271C3×C4×D3—122no—
272C3×Dic6—32no—
273C3×Dic6—32no—
274C3×Dic6—62no—
275#627—62no—
276#627—61no—
277#626—62no—
278#626—62no—
279#626—62no—
280#625—62no—
281#625—61no—
282#624—62no—
283#624—61no—
284D3×Dic3—62no—
285D3×Dic3—62no—
286D3×Dic3—62no—
287C3⋊(C3⋊C8)C22×D314yescomplemented
288C3×C3⋊C8—34no—
289C3×C3⋊C8—34no—
290C3×C3⋊C8—64no—
291C2×AGL(1,ℤ/8)—271noSylow
292C2×C33—21no—
293C2×C33—42no—
294C2×C33C22×D411yescharacteristic
295C3×C3⋊D3—21no—
296C3×C3⋊D3—42no—
297C3×C3⋊D3—42no—
298C3×C3⋊D3AGL(1,ℤ/8)12yescomplemented
299C24×C3—181no—
300C23×D3—62no—
301C23×D3—62no—
302C3×#41—92no—
303C2×C3×D4—21no—
304C2×C3×D4—22no—
305C2×C3×D4—41no—
306C2×C3×D4—92no—
307C2×C3×D4—92no—
308C2×C3×D4—91no—
309C2×C3×D4—181no—
310C2×C3×D4—181no—
311C2×C3×D4—181no—
312C2×C3×D4D3211yescharacteristic, complemented
313C2×C3×D4D3212yescomplemented
314C22×C3×C4—91no—
315C2×#67—62no—
316C2×#67—62no—
317C2×#67—181no—
318#239—92no—
319D3×Q8—92no—
320#237—92no—
321#237—182no—
322D3×D4—34no—
323D3×D4—34no—
324D3×D4—62no—
325D3×D4—62no—
326D3×D4—62no—
327D3×D4—62no—
328D3×D4—62no—
329D3×D4—62no—
330D3×D4—92no—
331D3×D4—182no—
332#235—32no—
333#235—32no—
334#235—62no—
335#235—92no—
336#235—182no—
337#235—181no—
338#235—181no—
339C2×D12—32no—
340C2×D12—61no—
341C2×D12—91no—
342C2×C4×D3—32no—
343C2×C4×D3—61no—
344C2×C4×D3—182no—
345C2×C4×D3—181no—
346C2×Dic6—91no—
347C3×SD16—94no—
348C3×D8—94no—
349C3×M16—92no—
350#215—94no—
351#214—34no—
352#214—34no—
353#214—64no—
354#214—94no—
355#213—34no—
356#213—34no—
357#213—64no—
358#213—94no—
359#213—94no—
360#208—32no—
361#208—32no—
362#208—62no—
363#208—92no—
364C2×C3⋊C8—92no—
365D24—94no—
366#204—94no—
367ΓL(1,𝔽25)—94no—
368D3×C8—94no—
369C22×C32—22no—
370C22×C32—24no—
371C22×C32—24no—
372C22×C32—22no—
373C22×C32—21no—
374C22×C32—41no—
375C22×C32—44no—
376C22×C32—44no—
377C22×C32—42no—
378C22×C32—44no—
379C22×C32—44no—
380C22×C32—84no—
381C22×C32—84no—
382C22×C32D3×D412yes—
383C22×C32C2×#6711yescharacteristic
384C2×C3⋊D3—22no—
385C2×C3⋊D3—22no—
386C2×C3⋊D3—22no—
387C2×C3⋊D3—44no—
388C2×C3⋊D3—42no—
389C2×C3⋊D3—44no—
390C2×C3⋊D3C2×#6711yescharacteristic
391C2×C3⋊D3C2×#6711yescharacteristic
392C2×C3×D3—32no—
393C2×C3×D3—32no—
394C2×C3×D3—61no—
395C2×C3×D3—61no—
396C2×C3×D3—64no—
397C2×C3×D3—64no—
398C2×C3×D3—64no—
399C2×C3×D3—62no—
400C2×C3×D3—64no—
401C2×C3×D3—62no—
402C2×C3×D3—122no—
403C2×C3×D3—128no—
404C2×C3×D3—128no—
405C2×C3×D3—128no—
406C2×C3×D3—128no—
407C2×C3×D3—124no—
408C2×C3×D3—124no—
409D32—124no—
410D32—122no—
411C32×C4—22no—
412C32×C4—21no—
413C32×C4—22no—
414C32×C4—21no—
415C32×C4—41no—
416C32×C4—41no—
417C32×C4D3×D412yes—
418C32×C4C2×#6711yescharacteristic
419C32×C4C23×D312yes—
420C32×C4C23×D311yescharacteristic
421C3⋊Dic3—22no—
422C3⋊Dic3C2×#6711yescharacteristic
423C3⋊Dic3C2×#6711yescharacteristic
424C3×Dic3—32no—
425C3×Dic3—32no—
426C3×Dic3—61no—
427C3×Dic3—61no—
428C3×Dic3—62no—
429C3×Dic3—62no—
430C3×Dic3—122no—
431C2×#41—271no—
432C22×D4—91no—
433AGL(1,ℤ/8)—92no—
434AGL(1,ℤ/8)—272no—
435AGL(1,ℤ/8)—274no—
436C2×SD16—272no—
437C2×D8—272no—
438C2×M16—271no—
439C33C2×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
440C23×C3—22no—
441C23×C3—22no—
442C23×C3—21no—
443C23×C3—42no—
444C23×C3—42no—
445C23×C3—91no—
446C23×C3—182no—
447C23×C3—182no—
448C23×C3—181no—
449C23×C3—364no—
450C22×D3—32no—
451C22×D3—61no—
452C22×D3—64no—
453C22×D3—64no—
454C22×D3—62no—
455C22×D3—64no—
456C22×D3—64no—
457C22×D3—62no—
458C22×D3—128no—
459C22×D3—128no—
460C22×D3—182no—
461C22×D3—181no—
462C3×Q8—92no—
463C3×D4—22no—
464C3×D4—22no—
465C3×D4—21no—
466C3×D4—22no—
467C3×D4—24no—
468C3×D4—42no—
469C3×D4—42no—
470C3×D4—42no—
471C3×D4—92no—
472C3×D4—92no—
473C3×D4—182no—
474C3×D4—182no—
475C3×D4—182no—
476C3×D4—181no—
477C3×D4C2×D3212yes—
478C3×D4C2×D3214yes—
479C2×C3×C4—22no—
480C2×C3×C4—21no—
481C2×C3×C4—41no—
482C2×C3×C4—91no—
483C2×C3×C4—91no—
484C2×C3×C4—91no—
485C2×C3×C4—91no—
486C2×C3×C4—91no—
487C2×C3×C4—182no—
488C2×C3×C4C2×D3212yes—
489C2×C3×C4C2×D3211yescharacteristic
490#67—64no—
491#67—64no—
492#67—64no—
493#67—64no—
494#67—62no—
495#67—62no—
496#67—122no—
497#67—182no—
498#67—182no—
499#67—182no—
500C2×Dic3—32no—
501C2×Dic3—61no—
502C2×Dic3—182no—
503C2×Dic3—181no—
504D12—34no—
505D12—32no—
506D12—32no—
507D12—62no—
508D12—62no—
509D12—62no—
510D12—62no—
511D12—181no—
512D12—182no—
513C4×D3—32no—
514C4×D3—32no—
515C4×D3—32no—
516C4×D3—32no—
517C4×D3—61no—
518C4×D3—61no—
519C4×D3—61no—
520C4×D3—61no—
521C4×D3—62no—
522C4×D3—62no—
523C4×D3—122no—
524C4×D3—182no—
525C4×D3—182no—
526C4×D3—182no—
527Dic6—32no—
528Dic6—32no—
529Dic6—62no—
530Dic6—182no—
531Dic6—181no—
532C3×C8—94no—
533C3⋊C8—34no—
534C3⋊C8—34no—
535C3⋊C8—64no—
536C2×C32—21no—
537C2×C32—22no—
538C2×C32—22no—
539C2×C32—22no—
540C2×C32—21no—
541C2×C32—41no—
542C2×C32—42no—
543C2×C32—42no—
544C2×C32—42no—
545C2×C32—44no—
546C2×C32—44no—
547C2×C32—84no—
548C2×C32—84no—
549C2×C32C2×D3×D412yes—
550C2×C32C22×#6711yescharacteristic
551C3⋊D3—21no—
552C3⋊D3—42no—
553C3⋊D3—42no—
554C3⋊D3#93212yescomplemented
555C3×D3—34no—
556C3×D3—62no—
557C3×D3—62no—
558C3×D3—62no—
559C3×D3—124no—
560C3×D3—122no—
561C3×D3—124no—
562C3×D3—122no—
563C3×D3—242no—
564C24—181no—
565#41—92no—
566#41—272no—
567#41—541no—
568#41—541no—
569C2×Q8—271no—
570C2×D4—92no—
571C2×D4—92no—
572C2×D4—91no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—271no—
577C2×D4—541no—
578C2×D4#111311yescharacteristic, complemented
579C22×C4—91no—
580C22×C4—541no—
581SD16—94no—
582SD16—274no—
583D8—94no—
584D8—274no—
585M16—92no—
586M16—272no—
587C2×C8—272no—
588C22×C3—24no—
589C22×C3—24no—
590C22×C3—22no—
591C22×C3—21no—
592C22×C3—22no—
593C22×C3—44no—
594C22×C3—44no—
595C22×C3—44no—
596C22×C3—44no—
597C22×C3—42no—
598C22×C3—41no—
599C22×C3—84no—
600C22×C3—84no—
601C22×C3—91no—
602C22×C3—91no—
603C22×C3—182no—
604C22×C3—182no—
605C22×C3—182no—
606C22×C3—362no—
607C22×C3—364no—
608C22×C3—364no—
609C22×C3D3×#6712yes—
610C22×C3#381111yescharacteristic
611C2×D3—32no—
612C2×D3—32no—
613C2×D3—61no—
614C2×D3—61no—
615C2×D3—64no—
616C2×D3—64no—
617C2×D3—64no—
618C2×D3—62no—
619C2×D3—64no—
620C2×D3—62no—
621C2×D3—122no—
622C2×D3—128no—
623C2×D3—128no—
624C2×D3—128no—
625C2×D3—128no—
626C2×D3—124no—
627C2×D3—124no—
628C2×D3—364no—
629C2×D3—362no—
630C3×C4—22no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—22no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—91no—
637C3×C4—91no—
638C3×C4—182no—
639C3×C4D3×#6712yes—
640C3×C4#381111yescharacteristic
641C3×C4C22×D3212yes—
642C3×C4C22×D3211yescharacteristic
643Dic3—32no—
644Dic3—32no—
645Dic3—61no—
646Dic3—61no—
647Dic3—62no—
648Dic3—62no—
649Dic3—122no—
650C32—22no—
651C32—21no—
652C32—41no—
653C32D3×AGL(1,ℤ/8)12yescomplemented
654C32C2×#93211yescharacteristic, complemented
655C23—21no—
656C23—91no—
657C23—182no—
658C23—182no—
659C23—181no—
660C23—364no—
661C23—541no—
662Q8—92no—
663Q8—541no—
664D4—21no—
665D4—92no—
666D4—92no—
667D4—182no—
668D4—182no—
669D4—182no—
670D4—181no—
671D4—541no—
672D4—542no—
673D4C2×#111312yes—
674C2×C4—91no—
675C2×C4—91no—
676C2×C4—91no—
677C2×C4—91no—
678C2×C4—91no—
679C2×C4—182no—
680C2×C4—542no—
681C2×C4—541no—
682C2×C4C2×#111311yescharacteristic
683C8—94no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—22no—
689C2×C3—42no—
690C2×C3—42no—
691C2×C3—44no—
692C2×C3—44no—
693C2×C3—42no—
694C2×C3—41no—
695C2×C3—84no—
696C2×C3—84no—
697C2×C3—92no—
698C2×C3—181no—
699C2×C3—362no—
700C2×C3—362no—
701C2×C3C2×D3×#6712yes—
702C2×C3C2×#381111yescharacteristic
703D3—34no—
704D3—62no—
705D3—62no—
706D3—62no—
707D3—124no—
708D3—124no—
709D3—122no—
710D3—122no—
711D3—242no—
712C22—22no—
713C22—42no—
714C22—91no—
715C22—91no—
716C22—182no—
717C22—182no—
718C22—182no—
719C22—362no—
720C22—364no—
721C22—364no—
722C22—1082no—
723C22#8904911yescharacteristic
724C4—91no—
725C4—91no—
726C4—182no—
727C4#8904911yescharacteristic
728C4C22×#111311yescharacteristic
729C3—21no—
730C3—22no—
731C3—41no—
732C3D3×#93212yescomplemented
733C3#1059510011yescharacteristic, complemented
734C2—21no—
735C2—42no—
736C2—92no—
737C2—181no—
738C2—362no—
739C2—362no—
740C2C2×#8904911yescharacteristic
subgroupG/H
centerC2C2×#89049
commutator, cosocleC33×C4C24
FrattiniC4C22×#1113
FittingC2×C33×D4C22
socleC2×C33C22×D4
hypercenterC2×D4#1113
hypocenterC33C2×AGL(1,ℤ/8)
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×C3⋊D3C2semidirect
2. #11724618C2semidirect
3. C3×#64141C2semidirect
4. #11723706C2semidirect
5. #11723704C2semidirect
6. #11723702C2semidirect
7. #11723661C2semidirect
8. #11723656C2semidirect
12. C2×C33×D4C22semidirect
17. C3×D4×C3⋊D3C22semidirect
18. C3×#3828C22semidirect
19. C2×C3×C4⋊(C3⋊D3)C22semidirect
23. C4⋊#1113C22semidirect
26. #89041C22semidirect
27. #89040C22semidirect
28. C3×#3754C22semidirect
29. C3×#3753C22semidirect
30. C3×#3748C22semidirect
31. #88811C22semidirect
32. #88810C22semidirect
33. #88809C22semidirect
34. #88808C22semidirect
35. C2×D4×C3⋊D3D3semidirect
40. #64141D3semidirect
72. C3×C4⋊(C3⋊D3)C23semidirect
78. C3×#634C23semidirect
84. C3×C3⋊(C3⋊C8)C23semidirect
93. C2×C32×D4C2×D3semidirect
94. C2×C32×D4C2×D3semidirect
99. D4×C3⋊D3C2×D3semidirect
100. #3828C2×D3semidirect
101. C2×C4⋊(C3⋊D3)C2×D3semidirect
135. #3754C2×D3semidirect
136. #3753C2×D3semidirect
137. #3748C2×D3semidirect
238. C4⋊(C3⋊D3)C22×D3semidirect
244. #634C22×D3semidirect
287. C3⋊(C3⋊C8)C22×D3semidirect
298. C3×C3⋊D3AGL(1,ℤ/8)semidirect
312. C2×C3×D4D32semidirect
313. C2×C3×D4D32semidirect
439. C33C2×AGL(1,ℤ/8)semidirect
554. C3⋊D3#932semidirect
578. C2×D4#1113semidirect
653. C32D3×AGL(1,ℤ/8)semidirect
654. C32C2×#932semidirect
732. C3D3×#932semidirect
733. C3#10595100semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
#117246182
C3×#641412
#117237062
#117237042
#117237022
#117236612
#117236562
#105951003
D3×#9323