Finite Group Databasebeta

← #11864200

Subgroups — #11864200

Order 1152.

1602 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3799C211yesmaximal, characteristic
2C3×D3×C22⋊Q8C211yesmaximal, characteristic, complemented
3C2×#63948C212yesmaximal, complemented
4#10592745C211yesmaximal, characteristic, complemented
5C3×#5050C211yesmaximal, characteristic, complemented
6#10591657C212yesmaximal, complemented
7#10591185C211yesmaximal, characteristic, complemented
8#10591183C211yesmaximal, characteristic, complemented
9#10591154C211yesmaximal, characteristic, complemented
10#10590616C212yesmaximal, complemented
11#10590609C212yesmaximal, complemented
12#82735—31nomaximal
13#80184—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×D3×Q8C2211yescharacteristic, complemented
16C22×C3×C4×D3C2211yescharacteristic
17C22×C3×Dic6C2211yescharacteristic
18C22×#626—21no—
19C22×#624—21no—
20C2×#3799—21no—
21C2×#3799—21no—
22C2×#3799—28no—
23C2×#3799C2212yes—
24C2×#3799C2212yes—
25C32×C22⋊Q8C2211yescharacteristic
26C2×#3755C2212yescomplemented
27C3×#946C2211yescharacteristic, complemented
28C2×C3×#216C2212yescomplemented
29C3×#924C2211yescharacteristic
30C3×#897C2211yescharacteristic, complemented
31C3×#896—21no—
32C3×D3×C4⋊C4—21no—
33C3×D3×C4⋊C4C2211yescharacteristic, complemented
34C3×D3×C22⋊C4—21no—
35C3×#878—21no—
36#63948—28no—
37C2×#3718C2212yescomplemented
38C2×#3717C2212yescomplemented
39C2×#3711C2212yescomplemented
40#63657C2211yescharacteristic
41#63636C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×#810C2212yescomplemented
44#63565C2212yescomplemented
45#63564C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C22×#239—31no—
48C22×#235—31no—
49C2×C3×C22⋊Q8—31no—
50C2×#942—32no—
51C2×#918—32no—
52D3×C22⋊Q8D311yescharacteristic, complemented
53C3×#451—31no—
54#5228—31no—
55#5207—31no—
56#5187—32no—
57#5050—31no—
58#5050D311yescharacteristic, complemented
59#5047—32no—
60#5047—32no—
61#5046—31no—
62#5046—31no—
63#5046—31no—
64#5046—61no—
65#4966—32no—
66#4808—32no—
67#4803—32no—
68#4731—31no—
69#4726—31no—
70C23×C3⋊D3—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×Q8C2311yescharacteristic
73C22×C32×C4C2311yescharacteristic
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)—24no—
76C2×C4⋊(C3⋊D3)C2312yes—
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C3×D3×Q8—24no—
80C2×C3×C4×D3—24no—
81C2×C3×C4×D3—21no—
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3D411yescharacteristic
84C2×C3×C4×D3D411yescharacteristic
85C2×C3×C4×D3C2311yescharacteristic
86C2×C3×C4×D3C2311yescharacteristic
87C2×C3×Dic6—21no—
88C2×C3×Dic6—24no—
89C2×C3×Dic6—21no—
90C2×C3×Dic6C2311yescharacteristic
91C2×C3×Dic6C2312yes—
92C2×#626—28no—
93C2×#626—22no—
94C2×#626—22no—
95C2×#624—28no—
96C2×#624—22no—
97C2×#624—22no—
98#3799—28no—
99#3799—28no—
100#3799—24no—
101#3799—24no—
102#3799—24no—
103#3799D418yes—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107#3755—24no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#216—24no—
111C3×(C2×D3)⋊C4—21no—
112C3×(C2×D3)⋊C4—21no—
113C3×C4⋊Dic3—21no—
114C3×C4⋊Dic3C2311yescharacteristic
115C3×Dic3⋊C4—21no—
116C3×Dic3⋊C4—21no—
117C3×Dic3⋊C4—21no—
118C2×C3×C3⋊C8C2312yes—
119#3718—24no—
120#3717—24no—
121#3711—24no—
122#3007—91noSylow
123C22×C3×Q8—31no—
124C22×C3×Q8—31no—
125C23×C3×C4—31no—
126C22×#67—61no—
127C2×#239—32no—
128C2×#239—32no—
129C2×#239—68no—
130C2×#239—61no—
131C2×#239—61no—
132C2×D3×Q8C2×D311yescharacteristic, complemented
133C2×#235—32no—
134C2×#235—32no—
135C2×#235—68no—
136C2×#235—61no—
137C2×#235—61no—
138C22×D12—31no—
139C22×D12—31no—
140C22×D12—61no—
141C22×D12—61no—
142C22×C4×D3—61no—
143C22×C4×D3—61no—
144C22×C4×D3C2×D311yescharacteristic
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C3×C22⋊Q8—21no—
148C3×C22⋊Q8—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—31no—
151C3×C22⋊Q8—61no—
152C3×C22⋊Q8—61no—
153C3×C22⋊Q8C2×D311yescharacteristic
154C3×C22⋊Q8C2×D311yescharacteristic
155C2×C3×C4⋊C4—31no—
156C2×C3×C4⋊C4—61no—
157C2×C3×C22⋊C4—61no—
158#946C2×D311yescharacteristic, complemented
159C2×#216—32no—
160C2×#216—32no—
161C2×#216C2×D312yescomplemented
162#942—68no—
163C2×#215—32no—
164C2×#215—32no—
165C2×#215—32no—
166C2×#215—62no—
167#924C2×D311yescharacteristic
168C2×#208—32no—
169#918—68no—
170C2×#204—32no—
171C2×ΓL(1,𝔽25)—32no—
172#897C2×D311yescharacteristic, complemented
173#896—21no—
174D3×C4⋊C4—21no—
175D3×C4⋊C4C2×D311yescharacteristic, complemented
176D3×C22⋊C4—21no—
177#878—21no—
178C3×#103—32no—
179C3×C22⋊C8—31no—
180#835—32no—
181#830—31no—
182#830—31no—
183#830—32no—
184#830—61no—
185#830C2×D311yescharacteristic
186#821—32no—
187(C2×D3)⋊C8—32no—
188#810—32no—
189#810C2×D312yescomplemented
190#809—32no—
191#809—32no—
192#809—32no—
193#809—62no—
194C23×C32C2×D411yescharacteristic
195C22×C3⋊D3—24no—
196C22×C3⋊D3—22no—
197C22×C3⋊D3—42no—
198C22×C3⋊D3—42no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—41no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C32×Q8—22no—
205C2×C32×C4—22no—
206C2×C32×C4—21no—
207C2×C32×C4—21no—
208C2×C32×C4C2×D411yescharacteristic
209C2×C32×C4C2411yescharacteristic
210C4⋊(C3⋊D3)—24no—
211C4⋊(C3⋊D3)—22no—
212C4⋊(C3⋊D3)C2×D414yes—
213C2×C3×Dic3—24no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×C4×D3—22no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3—42no—
224C3×C4×D3—42no—
225C3×C4×D3C2×D414yes—
226C3×Dic6—24no—
227C3×Dic6—22no—
228C3×Dic6—22no—
229C3×Dic6—42no—
230C3×Dic6C2×D414yes—
231#626—28no—
232#626—28no—
233#624—28no—
234#624—28no—
235C3⋊(C3⋊C8)—22no—
236C3×C3⋊C8—22no—
237C22×#41—91no—
238C2×#137—92no—
239C2×C22⋊Q8—31no—
240#452—92no—
241#452—92no—
242#451—31no—
243#451—91no—
244#450—91no—
245#450—91no—
246#417—92no—
247#407—91no—
248C24×C3—31no—
249C23×D3—61no—
250C23×D3—61no—
251C23×D3—121no—
252C23×D3#6711yescharacteristic
253C2×C3×Q8—21no—
254C2×C3×Q8—32no—
255C2×C3×Q8—31no—
256C2×C3×Q8—61no—
257C2×C3×Q8—64no—
258C2×C3×Q8—64no—
259C2×C3×Q8—61no—
260C2×C3×Q8C22×D311yescharacteristic
261C2×C3×Q8C22×D311yescharacteristic
262C22×C3×C4—21no—
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—31no—
268C22×C3×C4—64no—
269C22×C3×C4—61no—
270C22×C3×C4—61no—
271C22×C3×C4—61no—
272C22×C3×C4C22×D311yescharacteristic
273C22×C3×C4C22×D311yescharacteristic
274C2×#67—62no—
275C2×#67—62no—
276C2×#67—68no—
277C22×Dic3—21no—
278C22×Dic3#6711yescharacteristic
279#239—38no—
280#239—64no—
281#239—64no—
282#239—68no—
283#239—68no—
284#239—64no—
285D3×Q8—24no—
286#235—38no—
287#235—64no—
288#235—64no—
289#235—68no—
290#235—68no—
291#235—64no—
292C2×D12—32no—
293C2×D12—32no—
294C2×D12—62no—
295C2×D12—64no—
296C2×D12—64no—
297C2×D12—68no—
298C2×D12—62no—
299C2×D12—62no—
300C2×D12—61no—
301C2×D12—61no—
302C2×D12—124no—
303C2×D12—121no—
304C2×C4×D3—24no—
305C2×C4×D3—21no—
306C2×C4×D3—21no—
307C2×C4×D3—62no—
308C2×C4×D3—62no—
309C2×C4×D3—68no—
310C2×C4×D3—68no—
311C2×C4×D3—62no—
312C2×C4×D3—62no—
313C2×C4×D3#6711yescharacteristic
314C2×C4×D3#6711yescharacteristic
315C2×C4×D3C22×D311yescharacteristic
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—21no—
318C2×Dic6—24no—
319C2×Dic6—21no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D312yes—
322C3×Q16—64no—
323C2×C3×C8—32no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—41no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C22⋊C4—21no—
336C3×C22⋊C4—21no—
337C3×C22⋊C4—41no—
338C3×C22⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341#217—21no—
342#216—24no—
343#216—64no—
344#216—64no—
345#215—64no—
346#215—64no—
347#215—64no—
348#215—124no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351C4⋊Dic3—21no—
352C4⋊Dic3C22×D311yescharacteristic
353Dic3⋊C4—21no—
354Dic3⋊C4—21no—
355Dic3⋊C4—21no—
356#208—64no—
357C2×C3⋊C8—32no—
358C2×C3⋊C8—32no—
359C2×C3⋊C8—62no—
360C2×C3⋊C8C22×D312yes—
361#204—64no—
362ΓL(1,𝔽25)—64no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3⋊D3—24no—
368C2×C3⋊D3—48no—
369C2×C3⋊D3—42no—
370C2×C3⋊D3—42no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—21no—
374C2×C3×D3—21no—
375C2×C3×D3—21no—
376C2×C3×D3—44no—
377C2×C3×D3#12012yes—
378C32×C4—21no—
379C32×C4—41no—
380C32×C4—41no—
381C32×C4C22×D412yes—
382C3×Dic3—21no—
383C3×Dic3—24no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3#12012yes—
387C2×#41—92no—
388C2×#41—92no—
389C2×#41—181no—
390C2×#41—181no—
391C2×#41—188no—
392C22×Q8—31no—
393C22×Q8—31no—
394C22×D4—91no—
395C22×D4—181no—
396C23×C4—31no—
397C23×C4—181no—
398#137—188no—
399C2×Q16—32no—
400C2×Q16—92no—
401C2×SD16—92no—
402C2×SD16—92no—
403C2×M16—92no—
404C22⋊Q8—31no—
405C22⋊Q8—31no—
406C22⋊Q8—31no—
407C22⋊Q8—61no—
408C22⋊Q8—61no—
409C22⋊Q8D3211yescharacteristic
410C2×C4⋊C4—31no—
411C2×C4⋊C4—61no—
412C2×C22⋊C4—61no—
413#103—32no—
414#103—92no—
415#102—92no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—92no—
419C22⋊C8—91no—
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—62no—
424C23×C3—62no—
425C23×C3—121no—
426C23×C3D3×D411yescharacteristic
427C23×C3C2×#6711yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—41no—
431C22×D3—64no—
432C22×D3—64no—
433C22×D3—62no—
434C22×D3—62no—
435C22×D3—122no—
436C22×D3—124no—
437C22×D3—122no—
438C22×D3—122no—
439C22×D3—122no—
440C22×D3—122no—
441C22×D3—242no—
442C22×D3—242no—
443C22×D3C2×#6711yescharacteristic
444C22×D3C2×#6711yescharacteristic
445C3×Q8—22no—
446C3×Q8—22no—
447C3×Q8—34no—
448C3×Q8—42no—
449C3×Q8—64no—
450C3×Q8—62no—
451C3×Q8—62no—
452C3×Q8—122no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—31no—
462C2×C3×C4—34no—
463C2×C3×C4—31no—
464C2×C3×C4—42no—
465C2×C3×C4—41no—
466C2×C3×C4—41no—
467C2×C3×C4—62no—
468C2×C3×C4—62no—
469C2×C3×C4—62no—
470C2×C3×C4—64no—
471C2×C3×C4—62no—
472C2×C3×C4—62no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—122no—
476C2×C3×C4—122no—
477C2×C3×C4D3×D411yescharacteristic
478C2×C3×C4C2×#6711yescharacteristic
479C2×C3×C4C23×D311yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481#67—68no—
482#67—68no—
483C2×Dic3—24no—
484C2×Dic3—22no—
485C2×Dic3—22no—
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3C2×#6711yescharacteristic
489C2×Dic3C2×#6711yescharacteristic
490D12—34no—
491D12—34no—
492D12—64no—
493D12—64no—
494D12—64no—
495D12—68no—
496D12—68no—
497D12—62no—
498D12—62no—
499D12—122no—
500D12—124no—
501C4×D3—22no—
502C4×D3—22no—
503C4×D3—22no—
504C4×D3—42no—
505C4×D3—42no—
506C4×D3—68no—
507C4×D3—68no—
508C4×D3—68no—
509C4×D3—68no—
510C4×D3D3×D414yes—
511Dic6—24no—
512Dic6—22no—
513Dic6—22no—
514Dic6—42no—
515Dic6D3×D414yes—
516C3×C8—62no—
517C3⋊C8—22no—
518C3⋊C8—62no—
519C3⋊C8—62no—
520C3⋊C8—122no—
521C2×C32—22no—
522C2×C32C2×#12011yescharacteristic
523C2×C32C2×#13711yescharacteristic
524C2×C32#57511yescharacteristic
525C3⋊D3—44no—
526C3×D3—22no—
527C3×D3—41no—
528C24—31no—
529C24—181no—
530#41—98no—
531#41—184no—
532#41—184no—
533#41—184no—
534#41—188no—
535#41—188no—
536C2×Q8—32no—
537C2×Q8—31no—
538C2×Q8—61no—
539C2×Q8—64no—
540C2×Q8—64no—
541C2×Q8—61no—
542C2×Q8C2×D3211yescharacteristic
543C2×D4—92no—
544C2×D4—184no—
545C2×D4—182no—
546C2×D4—182no—
547C2×D4—188no—
548C2×D4—181no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—64no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—182no—
559C22×C4—182no—
560C22×C4—188no—
561C22×C4C2×D3211yescharacteristic
562Q16—64no—
563Q16—184no—
564SD16—184no—
565SD16—184no—
566M16—184no—
567C2×C8—32no—
568C2×C8—92no—
569C4⋊C4—21no—
570C4⋊C4—31no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4C2×D3211yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—22no—
586C22×C3—32no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—124no—
595C22×C3#91812yescomplemented
596C22×C3#94212yescomplemented
597C22×C3C2×D3×D411yescharacteristic
598C22×C3C22×#6711yescharacteristic
599C2×D3—21no—
600C2×D3—21no—
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—44no—
605C2×D3—64no—
606C2×D3—64no—
607C2×D3—124no—
608C2×D3—128no—
609C2×D3—128no—
610C2×D3—122no—
611C2×D3—122no—
612C2×D3—122no—
613C2×D3—122no—
614C2×D3—242no—
615C2×D3—242no—
616C2×D3—248no—
617C2×D3#93712yes—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—22no—
621C3×C4—32no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—64no—
628C3×C4—61no—
629C3×C4—81no—
630C3×C4—81no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4C2×D3×D412yes—
634C3×C4C2×D3×D412yes—
635Dic3—21no—
636Dic3—24no—
637Dic3—41no—
638Dic3—41no—
639Dic3#93712yes—
640C32#300711yescharacteristic, complemented, Sylow
641C23—31no—
642C23—31no—
643C23—62no—
644C23—62no—
645C23—121no—
646C23—184no—
647C23—182no—
648C23—362no—
649C23—362no—
650C23D3×#6711yescharacteristic
651Q8—22no—
652Q8—34no—
653Q8—64no—
654Q8—62no—
655Q8—62no—
656Q8—122no—
657D4—94no—
658D4—184no—
659D4—188no—
660D4—188no—
661D4—182no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—34no—
667C2×C4—31no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—188no—
679C2×C4—188no—
680C2×C4D3×#6711yescharacteristic
681C2×C4C22×D3211yescharacteristic
682C8—62no—
683C8—182no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—42no—
690C2×C3—62no—
691C2×C3—121no—
692C2×C3D3×#12011yescharacteristic
693C2×C3C2×#91811yescharacteristic
694C2×C3#577711yescharacteristic
695C2×C3C2×#93711yescharacteristic
696C2×C3C2×#94211yescharacteristic
697C2×C3#582211yescharacteristic
698D3—22no—
699D3—41no—
700D3—124no—
701D3—124no—
702D3—244no—
703C22—21no—
704C22—21no—
705C22—32no—
706C22—61no—
707C22—61no—
708C22—61no—
709C22—61no—
710C22—61no—
711C22—124no—
712C22—184no—
713C22—368no—
714C22—362no—
715C22—362no—
716C22#6394812yescomplemented
717C22C2×D3×#6711yescharacteristic
718C4—21no—
719C4—32no—
720C4—41no—
721C4—41no—
722C4—61no—
723C4—64no—
724C4—121no—
725C4—121no—
726C4D32×D412yes—
727C3—21no—
728C3#8018411yescharacteristic, complemented
729C3#8273511yescharacteristic, complemented
730C2—22no—
731C2—62no—
732C2—121no—
733C2—364no—
734C2D3×#93711yescharacteristic
735C2C2×#6394811yescharacteristic
736C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radicalC22×#3799C2
hypercenterC22⋊Q8D32
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C3×D3×C22⋊Q8C2semidirect
3. C2×#63948C2semidirect
4. #10592745C2semidirect
5. C3×#5050C2semidirect
6. #10591657C2semidirect
7. #10591185C2semidirect
8. #10591183C2semidirect
9. #10591154C2semidirect
10. #10590616C2semidirect
11. #10590609C2semidirect
15. C2×C3×D3×Q8C22semidirect
26. C2×#3755C22semidirect
27. C3×#946C22semidirect
28. C2×C3×#216C22semidirect
30. C3×#897C22semidirect
33. C3×D3×C4⋊C4C22semidirect
37. C2×#3718C22semidirect
38. C2×#3717C22semidirect
39. C2×#3711C22semidirect
41. #63636C22semidirect
43. C3×#810C22semidirect
44. #63565C22semidirect
45. #63564C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
52. D3×C22⋊Q8D3semidirect
58. #5050D3semidirect
132. C2×D3×Q8C2×D3semidirect
158. #946C2×D3semidirect
161. C2×#216C2×D3semidirect
172. #897C2×D3semidirect
175. D3×C4⋊C4C2×D3semidirect
189. #810C2×D3semidirect
365. C22×C32#137semidirect
595. C22×C3#918semidirect
596. C22×C3#942semidirect
640. C32#3007semidirect
716. C22#63948semidirect
728. C3#80184semidirect
729. C3#82735semidirect

Maximal subgroups

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

subgroupindex
C22×#37992
C3×D3×C22⋊Q82
C2×#639482
#105927452
C3×#50502
#105916572
#105911852
#105911832
#105911542
#105906162
#105906092
#827353
#801843