Finite Group Databasebeta

← #11901227

Subgroups — #11901227

Order 1152.

3267 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#235C212yesmaximal, complemented
2#10595948C211yesmaximal, characteristic, complemented
3C3×#5477C211yesmaximal, characteristic, complemented
4C2×C3×#872C211yesmaximal, characteristic, complemented
5#10595072C214yesmaximal, complemented
6#10595029C212yesmaximal, complemented
7#10594911C214yesmaximal, complemented
8#10594001C212yesmaximal, complemented
9#10594000C212yesmaximal, complemented
10#10593997C218yesmaximal, complemented
11#10593894C212yesmaximal, complemented
12#10593893C212yesmaximal, complemented
13#86235—31nomaximal
14#85735—31nomaximal
15C2×#3828C2212yescomplemented
16C2×C3×#235C2212yescomplemented
17C22×C3×C4×D3C2211yescharacteristic
18C2×D3×#67C2214yes—
19C2×#3804C2214yescomplemented
20D3×#235—216no—
21C2×D3×D12C2212yescomplemented
22C2×C4×D32C2214yescomplemented
23C2×#3799C2212yes—
24C2×#3798C2214yes—
25C2×#3795C2212yes—
26C2×D3×Dic6C2212yescomplemented
27C2×C32×C42C2211yescharacteristic, complemented
28#64139C2214yescomplemented
29#64084C2212yescomplemented
30#64083C2211yescharacteristic, complemented
31C4×C4⋊(C3⋊D3)C2214yescomplemented
32#64078C2211yescharacteristic, complemented
33C3×#930C2214yescomplemented
34C2×C3×(C2×D3)⋊C4C2212yes—
35C2×C3×Dic3⋊C4C2212yescomplemented
36C2×C3×C4×Dic3C2211yescharacteristic, complemented
37C3×#875C2212yescomplemented
38C3×#874C2211yescharacteristic, complemented
39C3×C4×D12C2214yescomplemented
40C3×#872C2212yescomplemented
41C3×#872C2212yescomplemented
42C3×#872C2214yescomplemented
43C3×#869C2211yescharacteristic, complemented
44#63978C2218yescomplemented
45#63923C2218yescomplemented
46#63922C2218yescomplemented
47#63911C2212yescomplemented
48#63910C2218yescomplemented
49C4×#626C2218yescomplemented
50#63895C2218yescomplemented
51#63893C2218yescomplemented
52#63891C2218yescomplemented
53#63890C2218yescomplemented
54#63886C2218yescomplemented
55#63866C2212yescomplemented
56#63864C2212yescomplemented
57#63860C2212yescomplemented
58C2×D3×#41—32no—
59C22×#235—32no—
60C3×#532—31no—
61C2×C3×#117—31no—
62#5832—32no—
63#5724—32no—
64#5715—32no—
65#5675—32no—
66#5674—32no—
67#5605—34no—
68#5597—34no—
69#5547—38no—
70#5526—32no—
71#5526—32no—
72#5525—32no—
73#5525—32no—
74#5524—38no—
75#5510—34no—
76#5493—34no—
77#5477—32no—
78#5477—31no—
79#5477—31no—
80#5477—61no—
81#5477D311yescharacteristic, complemented
82C2×#872D311yescharacteristic, complemented
83C23×C3×D3C2311yescharacteristic
84C22×D32C2314yes—
85C22×C32×C4C2312yes—
86C22×C32×C4C2311yescharacteristic
87C2×#638C2314yes—
88#3828—28no—
89C2×C4⋊(C3⋊D3)C2312yes—
90C2×C4⋊(C3⋊D3)C2314yes—
91C2×C4×C3⋊D3C2314yes—
92C2×#634C2312yes—
93C2×C3×#67C2314yes—
94C22×C3×Dic3C2312yes—
95C22×C3×Dic3C2311yescharacteristic
96C3×#235—28no—
97C2×C3×D12C2312yes—
98C2×C3×D12C2314yes—
99C2×C3×C4×D3D418yescomplemented
100C2×C3×C4×D3C2314yes—
101C2×C3×C4×D3C2312yes—
102C2×C3×C4×D3C2312yes—
103C2×C3×Dic6C2312yes—
104D3×#67—216no—
105C2×#627C2314yes—
106C2×#626C2314yes—
107C2×#626C2314yes—
108C2×#626C2318yes—
109C2×#625C2314yes—
110C2×#624C2314yes—
111#3804—216no—
112C2×D3×Dic3C2314yes—
113C2×D3×Dic3C2314yes—
114D3×D12—28no—
115C4×D32—216no—
116#3799—28no—
117#3798—216no—
118#3795—28no—
119D3×Dic6—28no—
120C32×C42C2311yescharacteristic
121C32×C42C2312yes—
122C32×C42C2311yescharacteristic
123#3752C2318yes—
124C4⋊(C3⋊Dic3)C2314yes—
125C3×(C2×D3)⋊C4C2314yes—
126C3×(C2×D3)⋊C4C2314yes—
127C3×(C2×D3)⋊C4C2318yes—
128C3×C4⋊Dic3C2314yes—
129C3×Dic3⋊C4C2314yes—
130C3×Dic3⋊C4C2314yes—
131C3×C4×Dic3C2312yes—
132C3×C4×Dic3C2312yes—
133Dic3⋊Dic3C2318yes—
134#3722C2318yes—
135(C2×D3)⋊Dic3C2318yes—
136#3449—91noSylow
137C2×C3×#41—32no—
138C23×C3×C4—31no—
139C22×#67—34no—
140D3×#41—616no—
141C2×#239—32no—
142C2×D3×Q8—32no—
143C2×#237—34no—
144C2×#237—32no—
145C2×D3×D4—34no—
146C2×D3×D4—32no—
147C2×#235—32no—
148C2×#235—32no—
149C2×#235—34no—
150C2×#235—32no—
151C2×#235—34no—
152C2×#235—34no—
153C2×#235—32no—
154C2×#235—62no—
155C2×#235—616no—
156C2×#235C2×D312yescomplemented
157C22×D12—32no—
158C22×C4×D3—34no—
159C22×C4×D3—34no—
160C22×C4×D3C2×D311yescharacteristic
161C22×Dic6—32no—
162C3×C4⋊Q8—31no—
163C3×#127—31no—
164C3×#124—32no—
165C3×#121—34no—
166C3×C4×D4—34no—
167C3×#117—34no—
168C3×#117—32no—
169C3×#117—32no—
170C2×C3×C4⋊C4—32no—
171C2×C3×C22⋊C4—32no—
172C2×C3×C42—21no—
173C2×C3×C42—31no—
174C2×C3×C42C2×D311yescharacteristic, complemented
175C2×C3×C42C2×D311yescharacteristic, complemented
176#947—32no—
177#944—32no—
178#940—32no—
179#939—38no—
180#939—38no—
181#937—38no—
182#936—32no—
183#930—34no—
184#930—34no—
185#930—38no—
186#930—64no—
187#930C2×D314yescomplemented
188C4×#67—38no—
189C2×(C2×D3)⋊C4C2×D312yes—
190C2×Dic3⋊C4C2×D312yescomplemented
191C2×C4×Dic3C2×D311yescharacteristic, complemented
192#897—38no—
193#897—38no—
194#896—38no—
195#895—38no—
196#895—38no—
197#894—38no—
198#886—38no—
199#886—38no—
200#884—38no—
201#883—38no—
202#882—38no—
203#882—38no—
204#882—38no—
205#878—38no—
206#875—32no—
207#875—32no—
208#875—32no—
209#875—32no—
210#875—62no—
211#875C2×D312yescomplemented
212#874—32no—
213#874—31no—
214#874—31no—
215#874—61no—
216#874C2×D311yescharacteristic, complemented
217C4×D12—38no—
218C4×D12—34no—
219C4×D12—34no—
220C4×D12—64no—
221C4×D12C2×D314yescomplemented
222#872C2×D312yescomplemented
223#872C2×D312yescomplemented
224#872C2×D314yescomplemented
225#869—32no—
226#869—31no—
227#869—31no—
228#869—61no—
229#869C2×D311yescharacteristic, complemented
230C23×C32C2411yescharacteristic
231C22×C3⋊D3C2414yes—
232C22×C3×D3—42no—
233C22×C3×D3C2×D414yes—
234C22×C3×D3C2414yes—
235C22×C3×D3C2412yes—
236C2×D32—28no—
237C2×D32—48no—
238C2×C32×C4—42no—
239C2×C32×C4C2×D414yes—
240C2×C32×C4C2412yes—
241C2×C32×C4C2412yes—
242C2×C32×C4C2411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244#638—28no—
245C2×C3⋊Dic3C2414yes—
246C4⋊(C3⋊D3)—24no—
247C4⋊(C3⋊D3)—44no—
248C4×C3⋊D3—28no—
249#634—24no—
250C3×#67—28no—
251C2×C3×Dic3—42no—
252C2×C3×Dic3C2×D414yes—
253C2×C3×Dic3C2414yes—
254C2×C3×Dic3C2414yes—
255C2×C3×Dic3C2412yes—
256C3×D12—24no—
257C3×D12—44no—
258C3×C4×D3—28no—
259C3×C4×D3C2×D418yes—
260C3×C4×D3C2×D418yes—
261C3×Dic6—24no—
262#627—28no—
263#626—28no—
264#626—28no—
265#626—48no—
266#625—28no—
267#624—28no—
268D3×Dic3—28no—
269D3×Dic3—28no—
270C22×#41—92no—
271#537—94no—
272#536—92no—
273#536—92no—
274#535—92no—
275#535—92no—
276#534—94no—
277#532—31no—
278#532—92no—
279#532—91no—
280#525—98no—
281C2×#117—31no—
282C24×C3—31no—
283C23×D3—34no—
284C23×D3—34no—
285C23×D3C22×D311yescharacteristic
286C3×#41—68no—
287C2×C3×Q8—32no—
288C2×C3×D4—34no—
289C2×C3×D4—32no—
290C2×C3×D4—34no—
291C22×C3×C4—21no—
292C22×C3×C4—22no—
293C22×C3×C4—31no—
294C22×C3×C4—38no—
295C22×C3×C4—32no—
296C22×C3×C4—32no—
297C22×C3×C4—32no—
298C22×C3×C4—34no—
299C22×C3×C4C22×D312yes—
300C22×C3×C4C22×D312yes—
301C22×C3×C4C22×D311yescharacteristic
302C22×C3×C4C22×D311yescharacteristic
303C2×#67—34no—
304C2×#67—34no—
305C2×#67—34no—
306C2×#67—34no—
307C2×#67—34no—
308C2×#67—34no—
309C2×#67—38no—
310C2×#67—64no—
311C2×#67—616no—
312C2×#67C22×D314yes—
313C22×Dic3—34no—
314C22×Dic3—34no—
315C22×Dic3C22×D312yes—
316C22×Dic3C22×D311yescharacteristic
317#239—68no—
318D3×Q8—68no—
319#237—616no—
320#237—68no—
321D3×D4—616no—
322D3×D4—68no—
323#235—28no—
324#235—68no—
325#235—616no—
326#235—68no—
327#235—616no—
328#235—68no—
329#235—68no—
330#235—616no—
331#235—128no—
332C2×D12—34no—
333C2×D12—34no—
334C2×D12—32no—
335C2×D12—32no—
336C2×D12—38no—
337C2×D12—34no—
338C2×D12—34no—
339C2×D12—64no—
340C2×D12—62no—
341C2×D12—68no—
342C2×D12C22×D312yes—
343C2×D12C22×D314yes—
344C2×C4×D3—34no—
345C2×C4×D3—34no—
346C2×C4×D3—34no—
347C2×C4×D3—34no—
348C2×C4×D3—34no—
349C2×C4×D3—34no—
350C2×C4×D3—64no—
351C2×C4×D3—616no—
352C2×C4×D3—616no—
353C2×C4×D3D1218yescomplemented
354C2×C4×D3C22×D314yes—
355C2×C4×D3C22×D312yes—
356C2×C4×D3C22×D312yes—
357C2×Dic6—32no—
358C2×Dic6—32no—
359C2×Dic6—34no—
360C2×Dic6—34no—
361C2×Dic6—62no—
362C2×Dic6—68no—
363C2×Dic6C22×D312yes—
364C3×C4⋊C4—34no—
365C3×C4⋊C4—34no—
366C3×C4⋊C4—34no—
367C3×C22⋊C4—38no—
368C3×C22⋊C4—34no—
369C3×C22⋊C4—34no—
370C3×C42—21no—
371C3×C42—22no—
372C3×C42—21no—
373C3×C42—32no—
374C3×C42—32no—
375C3×C42C22×D311yescharacteristic
376C3×C42C22×D311yescharacteristic
377C3×C42C22×D311yescharacteristic
378C3×C42C22×D312yes—
379C3×C42C22×D311yescharacteristic
380C3×C42C22×D312yes—
381#217—38no—
382(C2×D3)⋊C4—38no—
383(C2×D3)⋊C4—38no—
384(C2×D3)⋊C4—38no—
385(C2×D3)⋊C4—38no—
386(C2×D3)⋊C4—38no—
387(C2×D3)⋊C4—68no—
388(C2×D3)⋊C4C22×D314yes—
389(C2×D3)⋊C4C22×D314yes—
390(C2×D3)⋊C4C22×D318yes—
391C4⋊Dic3—34no—
392C4⋊Dic3—34no—
393C4⋊Dic3—38no—
394C4⋊Dic3—64no—
395C4⋊Dic3C22×D314yes—
396Dic3⋊C4—38no—
397Dic3⋊C4C22×D314yes—
398Dic3⋊C4C22×D314yes—
399C4×Dic3C22×D312yes—
400C4×Dic3C22×D312yes—
401C22×C32—22no—
402C22×C32C22×D412yes—
403C22×C32C2511yescharacteristic
404C2×C3⋊D3—24no—
405C2×C3⋊D3—28no—
406C2×C3×D3—24no—
407C2×C3×D3—24no—
408C2×C3×D3—28no—
409C2×C3×D3—44no—
410C2×C3×D3C22×D414yes—
411D32—416no—
412C32×C4—22no—
413C32×C4—22no—
414C32×C4C22×D412yes—
415C32×C4C22×D412yes—
416C3⋊Dic3—24no—
417C3×Dic3—24no—
418C3×Dic3—24no—
419C3×Dic3C22×D414yes—
420C2×#41—32no—
421C2×#41—94no—
422C2×#41—92no—
423C2×#41—94no—
424C2×#41—92no—
425C2×#41—92no—
426C2×#41—1816no—
427C22×Q8—92no—
428C22×D4—92no—
429C22×D4—94no—
430C23×C4—31no—
431C23×C4—94no—
432C4⋊Q8—31no—
433C4⋊Q8—92no—
434C4⋊Q8—91no—
435#127—31no—
436#127—92no—
437#127—91no—
438#124—32no—
439#124—92no—
440#124—92no—
441#124—92no—
442#123—98no—
443#123—98no—
444C22⋊Q8—98no—
445C22⋊Q8—98no—
446#121—34no—
447#121—98no—
448#121—98no—
449#121—98no—
450#121—94no—
451#120—98no—
452#120—98no—
453C4×D4—34no—
454C4×D4—98no—
455C4×D4—94no—
456#117—34no—
457#117—32no—
458#117—32no—
459C2×C4⋊C4—32no—
460C2×C22⋊C4—32no—
461C2×C42—31no—
462C2×C42D3211yescharacteristic, complemented
463C23×C3—21no—
464C23×C3—32no—
465C23×C3—34no—
466C23×C3—34no—
467C23×C3—122no—
468C23×C3C23×D311yescharacteristic
469C23×C3C23×D311yescharacteristic
470C22×D3—34no—
471C22×D3—34no—
472C22×D3—42no—
473C22×D3—64no—
474C22×D3—68no—
475C22×D3—68no—
476C22×D3—128no—
477C22×D3—128no—
478C22×D3C2×D1214yes—
479C22×D3C23×D314yes—
480C22×D3C23×D312yes—
481C3×Q8—64no—
482C3×D4—68no—
483C3×D4—64no—
484C3×D4—124no—
485C2×C3×C4—22no—
486C2×C3×C4—21no—
487C2×C3×C4—22no—
488C2×C3×C4—21no—
489C2×C3×C4—24no—
490C2×C3×C4—34no—
491C2×C3×C4—32no—
492C2×C3×C4—38no—
493C2×C3×C4—38no—
494C2×C3×C4—34no—
495C2×C3×C4—34no—
496C2×C3×C4—42no—
497C2×C3×C4—42no—
498C2×C3×C4—44no—
499C2×C3×C4—68no—
500C2×C3×C4—122no—
501C2×C3×C4C2×D1214yes—
502C2×C3×C4D3×D414yes—
503C2×C3×C4C23×D312yes—
504C2×C3×C4C23×D312yes—
505C2×C3×C4C23×D312yes—
506C2×C3×C4C23×D312yes—
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—28no—
512#67—68no—
513#67—68no—
514#67—68no—
515#67—68no—
516#67—68no—
517#67—68no—
518#67—128no—
519#67—128no—
520C2×Dic3—34no—
521C2×Dic3—34no—
522C2×Dic3—42no—
523C2×Dic3—64no—
524C2×Dic3—68no—
525C2×Dic3—68no—
526C2×Dic3C2×D1214yes—
527C2×Dic3C23×D314yes—
528C2×Dic3C23×D314yes—
529C2×Dic3C23×D312yes—
530D12—24no—
531D12—44no—
532D12—68no—
533D12—68no—
534D12—64no—
535D12—64no—
536D12—124no—
537D12—124no—
538D12—124no—
539D12—128no—
540D12—128no—
541C4×D3—28no—
542C4×D3—68no—
543C4×D3—68no—
544C4×D3—68no—
545C4×D3—68no—
546C4×D3—68no—
547C4×D3—68no—
548C4×D3—128no—
549C4×D3C2×D1218yes—
550C4×D3C2×D1218yes—
551Dic6—24no—
552Dic6—68no—
553Dic6—64no—
554Dic6—64no—
555Dic6—68no—
556Dic6—124no—
557C2×C32—22no—
558C2×C32C23×D411yescharacteristic
559C2×C32#58512yes—
560C3⋊D3—44no—
561C3×D3—24no—
562C3×D3—44no—
563C24—31no—
564C24—94no—
565#41—68no—
566#41—1816no—
567#41—1816no—
568#41—188no—
569#41—188no—
570#41—188no—
571C2×Q8—32no—
572C2×Q8—94no—
573C2×Q8—92no—
574C2×Q8—188no—
575C2×D4—34no—
576C2×D4—32no—
577C2×D4—34no—
578C2×D4—94no—
579C2×D4—94no—
580C2×D4—98no—
581C2×D4—94no—
582C2×D4—94no—
583C2×D4—92no—
584C2×D4—94no—
585C2×D4—188no—
586C2×D4—1816no—
587C22×C4—31no—
588C22×C4—32no—
589C22×C4—32no—
590C22×C4—38no—
591C22×C4—32no—
592C22×C4—34no—
593C22×C4—94no—
594C22×C4—94no—
595C22×C4—94no—
596C22×C4—94no—
597C22×C4—1816no—
598C22×C4C2×D3212yes—
599C22×C4C2×D3211yescharacteristic
600C4⋊C4—34no—
601C4⋊C4—34no—
602C4⋊C4—34no—
603C4⋊C4—98no—
604C4⋊C4—94no—
605C22⋊C4—34no—
606C22⋊C4—34no—
607C22⋊C4—38no—
608C22⋊C4—98no—
609C22⋊C4—98no—
610C22⋊C4—98no—
611C42—32no—
612C42—32no—
613C42C2×D3211yescharacteristic
614C42C2×D3211yescharacteristic
615C42C2×D3212yes—
616C22×C3—22no—
617C22×C3—22no—
618C22×C3—22no—
619C22×C3—21no—
620C22×C3—34no—
621C22×C3—42no—
622C22×C3—64no—
623C22×C3—64no—
624C22×C3—68no—
625C22×C3—124no—
626C22×C3C22×D1212yes—
627C22×C3C2×D3×D412yes—
628C22×C3C24×D311yescharacteristic
629C22×C3C24×D311yescharacteristic
630C2×D3—24no—
631C2×D3—24no—
632C2×D3—28no—
633C2×D3—44no—
634C2×D3—64no—
635C2×D3—64no—
636C2×D3—68no—
637C2×D3—68no—
638C2×D3—124no—
639C2×D3—128no—
640C2×D3—1216no—
641C2×D3—1216no—
642C2×D3C22×D1214yes—
643C3×C4—24no—
644C3×C4—22no—
645C3×C4—22no—
646C3×C4—22no—
647C3×C4—22no—
648C3×C4—22no—
649C3×C4—22no—
650C3×C4—34no—
651C3×C4—42no—
652C3×C4—64no—
653C3×C4—64no—
654C3×C4C22×D1212yes—
655C3×C4C22×D1212yes—
656C3×C4C2×D3×D412yes—
657C3×C4C2×D3×D412yes—
658Dic3—24no—
659Dic3—24no—
660Dic3—64no—
661Dic3—64no—
662Dic3—124no—
663Dic3C22×D1214yes—
664C32#344911yescharacteristic, complemented, Sylow
665C23—32no—
666C23—34no—
667C23—34no—
668C23—94no—
669C23—122no—
670C23—188no—
671C23—368no—
672C23C22×D3211yescharacteristic
673Q8—64no—
674Q8—188no—
675Q8—184no—
676D4—68no—
677D4—64no—
678D4—124no—
679D4—188no—
680D4—188no—
681D4—188no—
682D4—188no—
683D4—184no—
684D4—364no—
685D4—368no—
686C2×C4—34no—
687C2×C4—32no—
688C2×C4—38no—
689C2×C4—38no—
690C2×C4—34no—
691C2×C4—34no—
692C2×C4—42no—
693C2×C4—68no—
694C2×C4—94no—
695C2×C4—122no—
696C2×C4—188no—
697C2×C4—188no—
698C2×C4—188no—
699C2×C4—188no—
700C2×C4D3×D1214yes—
701C2×C4C22×D3212yes—
702C2×C4C22×D3212yes—
703C2×C4C22×D3211yescharacteristic
704C2×C4C22×D3211yescharacteristic
705C2×C3—22no—
706C2×C3—22no—
707C2×C3—21no—
708C2×C3—22no—
709C2×C3—42no—
710C2×C3—64no—
711C2×C3—124no—
712C2×C3C23×D1211yescharacteristic
713C2×C3C22×D3×D411yescharacteristic
714C2×C3#596412yes—
715C2×C3#596412yes—
716D3—24no—
717D3—44no—
718D3—124no—
719D3—124no—
720D3—244no—
721C22—22no—
722C22—34no—
723C22—64no—
724C22—64no—
725C22—68no—
726C22—124no—
727C22—184no—
728C22—188no—
729C22—3616no—
730C22C2×D3×D1212yes—
731C22C23×D3211yescharacteristic
732C4—22no—
733C4—22no—
734C4—34no—
735C4—64no—
736C4—64no—
737C4—184no—
738C4C2×D3×D1212yes—
739C4C2×D3×D1212yes—
740C3—21no—
741C3#8573511yescharacteristic, complemented
742C3#8623511yescharacteristic, complemented
743C2—22no—
744C2—64no—
745C2—124no—
746C2—364no—
747C2C22×D3×D1211yescharacteristic
748C2#1059666912yes—
subgroupG/H
centerC2×C4C22×D32
commutator, socle, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
hypercenterC2×C42D32
hypocenterC32#3449
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×D3×#235C2semidirect
2. #10595948C2semidirect
3. C3×#5477C2semidirect
4. C2×C3×#872C2semidirect
5. #10595072C2semidirect
6. #10595029C2semidirect
7. #10594911C2semidirect
8. #10594001C2semidirect
9. #10594000C2semidirect
10. #10593997C2semidirect
11. #10593894C2semidirect
12. #10593893C2semidirect
15. C2×#3828C22semidirect
16. C2×C3×#235C22semidirect
19. C2×#3804C22semidirect
21. C2×D3×D12C22semidirect
22. C2×C4×D32C22semidirect
26. C2×D3×Dic6C22semidirect
27. C2×C32×C42C22semidirect
28. #64139C22semidirect
29. #64084C22semidirect
30. #64083C22semidirect
31. C4×C4⋊(C3⋊D3)C22semidirect
32. #64078C22semidirect
33. C3×#930C22semidirect
35. C2×C3×Dic3⋊C4C22semidirect
36. C2×C3×C4×Dic3C22semidirect
37. C3×#875C22semidirect
38. C3×#874C22semidirect
39. C3×C4×D12C22semidirect
40. C3×#872C22semidirect
41. C3×#872C22semidirect
42. C3×#872C22semidirect
43. C3×#869C22semidirect
44. #63978C22semidirect
45. #63923C22semidirect
46. #63922C22semidirect
47. #63911C22semidirect
48. #63910C22semidirect
49. C4×#626C22semidirect
50. #63895C22semidirect
51. #63893C22semidirect
52. #63891C22semidirect
53. #63890C22semidirect
54. #63886C22semidirect
55. #63866C22semidirect
56. #63864C22semidirect
57. #63860C22semidirect
81. #5477D3semidirect
82. C2×#872D3semidirect
99. C2×C3×C4×D3D4semidirect
156. C2×#235C2×D3semidirect
174. C2×C3×C42C2×D3semidirect
175. C2×C3×C42C2×D3semidirect
187. #930C2×D3semidirect
190. C2×Dic3⋊C4C2×D3semidirect
191. C2×C4×Dic3C2×D3semidirect
211. #875C2×D3semidirect
216. #874C2×D3semidirect
221. C4×D12C2×D3semidirect
222. #872C2×D3semidirect
223. #872C2×D3semidirect
224. #872C2×D3semidirect
229. #869C2×D3semidirect
353. C2×C4×D3D12semidirect
462. C2×C42D32semidirect
664. C32#3449semidirect
741. C3#85735semidirect
742. C3#86235semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#2352
#105959482
C3×#54772
C2×C3×#8722
#105950722
#105950292
#105949112
#105940012
#105940002
#105939972
#105938942
#105938932
#862353
#857353