Finite Group Databasebeta

← #11864614

Subgroups — #11864614

Order 1152.

1607 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic, complemented
2C3×#5833C211yesmaximal, characteristic, complemented
3C2×#63823C211yesmaximal, characteristic, complemented
4C2×#63822C211yesmaximal, characteristic, complemented
5#10592933C211yesmaximal, characteristic, complemented
6#10591170C212yesmaximal, complemented
7#10591169C212yesmaximal, complemented
8#10591161C212yesmaximal, complemented
9#10591160C212yesmaximal, complemented
10#10591087C211yesmaximal, characteristic, complemented
11C2×#63562C211yesmaximal, characteristic, complemented
12#84102—31nomaximal
13#83424—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009—24no—
16C3×#1009—24no—
17C2×C3×#239—21no—
18C2×C3×D3×D4—21no—
19C2×C3×D3×D4—22no—
20C2×C3×#235C2212yes—
21C2×C3×#235C2211yescharacteristic
22C2×C3×#235C2211yescharacteristic, complemented
23C22×C3×D12C2212yes—
24C22×C3×D12C2211yescharacteristic
25C2×#3748C2211yescharacteristic, complemented
26C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
27C3×#946—21no—
28C3×#939—22no—
29C3×#938—21no—
30C3×#930C2212yescomplemented
31C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
32C3×#924C2212yescomplemented
33C2×#3718C2211yescharacteristic, complemented
34C2×#3715C2211yescharacteristic, complemented
35C2×#3715C2211yescharacteristic, complemented
36C2×#3715C2212yescomplemented
37#63823—24no—
38#63822—24no—
39C2×#3713C2211yescharacteristic, complemented
40C2×#3713C2212yescomplemented
41#63657C2212yescomplemented
42#63657C2212yescomplemented
43#63565C2212yescomplemented
44#63562C2212yescomplemented
45#63562C2212yescomplemented
46#63562C2212yescomplemented
47C2×C3×H(5,𝔽2)—31no—
48C2×#1009D311yescharacteristic, complemented
49C3×#537—31no—
50#5833D311yescharacteristic, complemented
51C2×#950—31no—
52C2×#950—31no—
53C2×#949—31no—
54C2×#932—31no—
55#5239—32no—
56#5238—32no—
57#5234—31no—
58#5234—31no—
59#5234—61no—
60#5232—31no—
61#5218—32no—
62#5217—32no—
63C2×#832—31no—
64#5047—32no—
65#5046—32no—
66#5037—32no—
67#5036—32no—
68#4966—31no—
69C2×#809—31no—
70C23×C3×D3—22no—
71C23×C3×D3—21no—
72C32×#41—22no—
73C32×#41—22no—
74C2×C32×Q8D411yescharacteristic
75C2×C32×D4D411yescharacteristic
76C2×C32×D4D412yes—
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C2×C3×#67—22no—
80C2×C3×#67—21no—
81C2×C3×#67—21no—
82C2×C3×#67—22no—
83C22×C3×Dic3—21no—
84C3×#239—28no—
85C3×D3×D4—216no—
86C3×D3×D4—28no—
87C3×#235—22no—
88C3×#235—24no—
89C3×#235—22no—
90C3×#235—22no—
91C3×#235—24no—
92C3×#235D414yescomplemented
93C2×C3×D12—22no—
94C2×C3×D12—21no—
95C2×C3×D12—22no—
96C2×C3×D12—24no—
97C2×C3×D12—24no—
98C2×C3×D12D414yescomplemented
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×D12C2312yes—
102C2×C3×C4×D3—22no—
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3—21no—
105C2×C3×Dic6C2311yescharacteristic
106C2×C3×Dic6C2311yescharacteristic
107#3748—22no—
108C2×C3⋊(C3⋊C8)—22no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2312yes—
112C3×#217—22no—
113C3×(C2×D3)⋊C4—22no—
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3C2312yes—
116C3×Dic3⋊C4—22no—
117#3718—22no—
118#3715—22no—
119#3715—24no—
120#3715—22no—
121#3713—22no—
122#3713—24no—
123#3012—91noSylow
124C3×H(5,𝔽2)—64no—
125C3×H(5,𝔽2)—64no—
126C2×C3×#41—21no—
127C2×C3×#41—31no—
128C2×C3×#41—32no—
129C2×C3×#41—31no—
130C2×C3×#41—61no—
131C2×C3×#41C2×D311yescharacteristic
132C2×C3×#41C2×D311yescharacteristic
133C22×C3×D4—31no—
134C22×C3×D4—32no—
135C22×C3×D4—61no—
136C22×C3×D4—62no—
137#1009—24no—
138#1009—24no—
139C2×#239—21no—
140C2×D3×D4—22no—
141C2×D3×D4—21no—
142C2×#235C2×D312yes—
143C2×#235C2×D311yescharacteristic
144C2×#235C2×D311yescharacteristic, complemented
145C22×D12C2×D312yes—
146C22×D12C2×D311yescharacteristic
147C3×C22⋊Q8—32no—
148C3×C22⋊Q8—61no—
149C3×#121—32no—
150C3×#121—61no—
151C3×#121—62no—
152C2×C3×C4⋊C4—31no—
153#950—64no—
154#950—64no—
155#949—64no—
156#946—21no—
157C2×#216—31no—
158C2×#216—31no—
159C2×#215—31no—
160C2×#215—31no—
161C2×#215—32no—
162#939—22no—
163#938—21no—
164C2×#214—31no—
165C2×#214—32no—
166C2×#214—31no—
167#932—64no—
168C2×#213—31no—
169C2×#213—32no—
170C2×#213—31no—
171C2×#213—32no—
172#930C2×D312yescomplemented
173C2×C4⋊Dic3C2×D311yescharacteristic, complemented
174#924C2×D312yescomplemented
175C2×#208—31no—
176C2×#208—31no—
177C2×#208—61no—
178C22×C3⋊C8—31no—
179C22×C3⋊C8—31no—
180C22×C3⋊C8—61no—
181#835—32no—
182#832—32no—
183#832—32no—
184#832—32no—
185#830—32no—
186#830—32no—
187#830—32no—
188#830—32no—
189#830—62no—
190#830—62no—
191#810—32no—
192#809—32no—
193#809—32no—
194#809—32no—
195C23×C32C2×D412yes—
196C23×C32C2×D411yescharacteristic
197C22×C3×D3—22no—
198C22×C3×D3—21no—
199C22×C3×D3—28no—
200C22×C3×D3—24no—
201C22×C3×D3—21no—
202C22×C3×D3—81no—
203C22×C3×D3—82no—
204C22×C3×D3—81no—
205C22×C3×D3—82no—
206C32×Q8—22no—
207C32×D4—24no—
208C32×D4—22no—
209C2×C32×C4—22no—
210C2×C32×C4—22no—
211C2×C32×C4C2×D412yes—
212C2×C32×C4C2×D412yes—
213C2×C32×C4C2×D412yes—
214C2×C32×C4C2×D411yescharacteristic
215C2×C32×C4C2411yescharacteristic
216C3×#67—28no—
217C3×#67—24no—
218C3×#67—42no—
219C3×#67—82no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—22no—
223C2×C3×Dic3—81no—
224C3×D12—28no—
225C3×D12—24no—
226C3×D12—21no—
227C3×D12—22no—
228C3×D12—21no—
229C3×D12—21no—
230C3×D12C2×D412yes—
231C3×D12C2×D414yes—
232C3×C4×D3—28no—
233C3×C4×D3—24no—
234C3×C4×D3—42no—
235C3×Dic6—21no—
236C3×Dic6—21no—
237C3×Dic6—21no—
238C3×Dic6C2×D412yes—
239C3⋊(C3⋊C8)—22no—
240C3⋊(C3⋊C8)—21no—
241C3⋊(C3⋊C8)—21no—
242C2×H(5,𝔽2)—31no—
243C2×AGL(1,ℤ/8)—91no—
244C2×#135—91no—
245#537—31no—
246#452—92no—
247#450—92no—
248#449—92no—
249#447—92no—
250#417—91no—
251C2×#102—91no—
252#408—91no—
253C24×C3—62no—
254C24×C3—61no—
255C23×D3—22no—
256C23×D3—21no—
257C3×#41—22no—
258C3×#41—22no—
259C3×#41—22no—
260C3×#41—22no—
261C3×#41—34no—
262C3×#41—42no—
263C3×#41—42no—
264C3×#41—64no—
265C3×#41—64no—
266C3×#41—68no—
267C3×#41—62no—
268C3×#41—62no—
269C3×#41—62no—
270C2×C3×Q8—21no—
271C2×C3×Q8—31no—
272C2×C3×Q8—31no—
273C2×C3×Q8#6711yescharacteristic
274C2×C3×Q8#6711yescharacteristic
275C2×C3×D4—21no—
276C2×C3×D4—22no—
277C2×C3×D4—34no—
278C2×C3×D4—32no—
279C2×C3×D4—31no—
280C2×C3×D4—31no—
281C2×C3×D4—64no—
282C2×C3×D4—64no—
283C2×C3×D4—616no—
284C2×C3×D4—68no—
285C2×C3×D4—62no—
286C2×C3×D4—61no—
287C2×C3×D4—61no—
288C2×C3×D4—62no—
289C2×C3×D4—62no—
290C2×C3×D4—62no—
291C2×C3×D4—61no—
292C2×C3×D4#6711yescharacteristic
293C2×C3×D4#6712yes—
294C2×C3×D4#6712yes—
295C2×C3×D4#6711yescharacteristic
296C22×C3×C4—21no—
297C22×C3×C4—22no—
298C22×C3×C4—62no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C22×C3×C4C22×D312yes—
303C22×C3×C4C22×D312yes—
304C22×C3×C4C22×D311yescharacteristic
305C22×C3×C4C22×D311yescharacteristic
306C2×#67—22no—
307C2×#67—21no—
308C2×#67—21no—
309C2×#67—22no—
310C22×Dic3—21no—
311#239—28no—
312D3×D4—216no—
313D3×D4—28no—
314#235—22no—
315#235—24no—
316#235—22no—
317#235—22no—
318#235—24no—
319#235#6714yescomplemented
320C2×D12—22no—
321C2×D12—21no—
322C2×D12—22no—
323C2×D12—24no—
324C2×D12—24no—
325C2×D12#6714yescomplemented
326C2×D12C22×D311yescharacteristic
327C2×D12C22×D311yescharacteristic
328C2×D12C22×D312yes—
329C2×C4×D3—22no—
330C2×C4×D3—21no—
331C2×C4×D3—21no—
332C2×Dic6C22×D311yescharacteristic
333C2×Dic6C22×D311yescharacteristic
334C3×C4⋊C4—32no—
335C3×C4⋊C4—62no—
336C3×C4⋊C4—61no—
337C3×C22⋊C4—62no—
338C3×C22⋊C4—62no—
339#217—22no—
340#216—62no—
341#216—62no—
342#215—62no—
343#215—64no—
344#215—62no—
345#214—64no—
346#214—62no—
347#214—62no—
348#213—64no—
349#213—62no—
350#213—64no—
351#213—62no—
352(C2×D3)⋊C4—22no—
353C4⋊Dic3—21no—
354C4⋊Dic3C22×D312yes—
355Dic3⋊C4—22no—
356#208—62no—
357#208—62no—
358#208—122no—
359C2×C3⋊C8—31no—
360C2×C3⋊C8—31no—
361C2×C3⋊C8—32no—
362C2×C3⋊C8—31no—
363C2×C3⋊C8—31no—
364C2×C3⋊C8—32no—
365C2×C3⋊C8—61no—
366C2×C3⋊C8—61no—
367C2×C3⋊C8—62no—
368C2×C3⋊C8—62no—
369C2×C3⋊C8—62no—
370C2×C3⋊C8—122no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32—22no—
374C22×C32—22no—
375C22×C32—22no—
376C22×C32#12012yes—
377C22×C32C22×D411yescharacteristic
378C2×C3×D3—24no—
379C2×C3×D3—22no—
380C2×C3×D3—42no—
381C2×C3×D3—41no—
382C2×C3×D3—42no—
383C2×C3×D3—41no—
384C2×C3×D3—41no—
385C2×C3×D3—41no—
386C2×C3×D3—41no—
387C2×C3×D3—84no—
388C2×C3×D3—88no—
389C32×C4—22no—
390C32×C4#12012yes—
391C32×C4C22×D411yescharacteristic
392C32×C4C22×D411yescharacteristic
393C3×Dic3—22no—
394C3×Dic3—41no—
395C3×Dic3—42no—
396H(5,𝔽2)—64no—
397H(5,𝔽2)—64no—
398C2×#41—31no—
399C2×#41—31no—
400C2×#41—32no—
401C2×#41—61no—
402C2×#41D3211yescharacteristic
403C22×D4—31no—
404C22×D4—32no—
405C22×D4—62no—
406C22×D4—61no—
407AGL(1,ℤ/8)—184no—
408#135—184no—
409C2×Q16—91no—
410C2×SD16—91no—
411C2×SD16—91no—
412C2×SD16—92no—
413C2×D8—91no—
414C2×D8—92no—
415C2×M16—91no—
416C22×C8—91no—
417C22⋊Q8—32no—
418C22⋊Q8—61no—
419#121—32no—
420#121—61no—
421#121—62no—
422C2×C4⋊C4—31no—
423#103—92no—
424#102—92no—
425#102—92no—
426#102—92no—
427C22⋊C8—92no—
428C22⋊C8—92no—
429C23×C3—21no—
430C23×C3—22no—
431C23×C3—68no—
432C23×C3—62no—
433C23×C3—61no—
434C23×C3—64no—
435C23×C3—61no—
436C23×C3—241no—
437C23×C3—241no—
438C23×C3—242no—
439C23×C3—242no—
440C23×C3C2×#6712yes—
441C23×C3C2×#6712yes—
442C23×C3C2×#6711yescharacteristic
443C23×C3C2×#6711yescharacteristic
444C22×D3—22no—
445C22×D3—21no—
446C22×D3—28no—
447C22×D3—24no—
448C22×D3—21no—
449C22×D3—81no—
450C22×D3—82no—
451C22×D3—81no—
452C22×D3—82no—
453C3×Q8—22no—
454C3×Q8—22no—
455C3×Q8—32no—
456C3×Q8—42no—
457C3×Q8—61no—
458C3×Q8—61no—
459C3×Q8—61no—
460C3×D4—24no—
461C3×D4—24no—
462C3×D4—22no—
463C3×D4—22no—
464C3×D4—34no—
465C3×D4—32no—
466C3×D4—42no—
467C3×D4—44no—
468C3×D4—68no—
469C3×D4—68no—
470C3×D4—64no—
471C3×D4—64no—
472C3×D4—61no—
473C3×D4—62no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—122no—
477C3×D4—242no—
478C2×C3×C4—22no—
479C2×C3×C4—22no—
480C2×C3×C4—22no—
481C2×C3×C4—22no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—22no—
485C2×C3×C4—22no—
486C2×C3×C4—22no—
487C2×C3×C4—42no—
488C2×C3×C4—42no—
489C2×C3×C4—68no—
490C2×C3×C4—61no—
491C2×C3×C4—64no—
492C2×C3×C4—62no—
493C2×C3×C4—61no—
494C2×C3×C4—122no—
495C2×C3×C4—241no—
496C2×C3×C4D3×D412yes—
497C2×C3×C4D3×D412yes—
498C2×C3×C4C2×#6712yes—
499C2×C3×C4C2×#6712yes—
500C2×C3×C4C2×#6711yescharacteristic
501C2×C3×C4C2×#6711yescharacteristic
502C2×C3×C4C2×#6712yes—
503C2×C3×C4C2×#6712yes—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—28no—
507#67—24no—
508#67—42no—
509#67—82no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—22no—
513C2×Dic3—81no—
514D12—28no—
515D12—24no—
516D12—21no—
517D12—21no—
518D12—21no—
519D12—22no—
520D12C2×#6712yes—
521D12C2×#6714yes—
522C4×D3—28no—
523C4×D3—24no—
524C4×D3—42no—
525Dic6—21no—
526Dic6—21no—
527Dic6—21no—
528Dic6C2×#6712yes—
529C3⋊C8—61no—
530C3⋊C8—61no—
531C3⋊C8—62no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—62no—
535C3⋊C8—121no—
536C3⋊C8—121no—
537C3⋊C8—122no—
538C2×C32—22no—
539C2×C32—42no—
540C2×C32C2×#12011yescharacteristic
541C2×C32#57611yescharacteristic
542C2×C32#57711yescharacteristic
543C3×D3—44no—
544C3×D3—42no—
545C3×D3—81no—
546C24—62no—
547C24—61no—
548#41—22no—
549#41—22no—
550#41—34no—
551#41—64no—
552#41—64no—
553#41—68no—
554#41—62no—
555#41—62no—
556#41—62no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8#62511yescharacteristic
560C2×D4—32no—
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—34no—
564C2×D4—64no—
565C2×D4—64no—
566C2×D4—616no—
567C2×D4—68no—
568C2×D4—62no—
569C2×D4—61no—
570C2×D4—61no—
571C2×D4—62no—
572C2×D4—62no—
573C2×D4—61no—
574C2×D4—62no—
575C2×D4#62512yes—
576C2×D4#62511yescharacteristic
577C22×C4—62no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4C2×D3212yes—
582C22×C4C2×D3211yescharacteristic
583Q16—182no—
584SD16—182no—
585SD16—184no—
586SD16—182no—
587D8—182no—
588D8—184no—
589M16—182no—
590C2×C8—91no—
591C2×C8—91no—
592C2×C8—92no—
593C2×C8—182no—
594C4⋊C4—32no—
595C4⋊C4—61no—
596C4⋊C4—62no—
597C22⋊C4—62no—
598C22⋊C4—62no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—22no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—22no—
607C22×C3—22no—
608C22×C3—22no—
609C22×C3—21no—
610C22×C3—22no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—42no—
614C22×C3—42no—
615C22×C3—42no—
616C22×C3—64no—
617C22×C3—62no—
618C22×C3—122no—
619C22×C3—121no—
620C22×C3—122no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—244no—
626C22×C3—248no—
627C22×C3#93712yes—
628C22×C3#95312yes—
629C22×C3C22×#6711yescharacteristic
630C22×C3C22×#6711yescharacteristic
631C2×D3—24no—
632C2×D3—22no—
633C2×D3—42no—
634C2×D3—41no—
635C2×D3—42no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—84no—
641C2×D3—88no—
642C3×C4—22no—
643C3×C4—22no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—22no—
647C3×C4—42no—
648C3×C4—62no—
649C3×C4—122no—
650C3×C4—121no—
651C3×C4#93712yes—
652C3×C4#95312yes—
653C3×C4C2×D3×D411yescharacteristic
654C3×C4C2×D3×D411yescharacteristic
655C3×C4C22×#6711yescharacteristic
656C3×C4C22×#6711yescharacteristic
657Dic3—22no—
658Dic3—41no—
659Dic3—42no—
660C32#301211yescharacteristic, complemented, Sylow
661C23—68no—
662C23—62no—
663C23—61no—
664C23—64no—
665C23—61no—
666C23—241no—
667C23—241no—
668C23—242no—
669C23—242no—
670C23C2×#62512yes—
671C23C2×#62511yescharacteristic
672Q8—22no—
673Q8—32no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677D4—24no—
678D4—22no—
679D4—34no—
680D4—32no—
681D4—68no—
682D4—68no—
683D4—64no—
684D4—61no—
685D4—62no—
686D4—61no—
687D4—61no—
688D4—64no—
689D4—122no—
690D4—242no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—68no—
694C2×C4—61no—
695C2×C4—64no—
696C2×C4—62no—
697C2×C4—61no—
698C2×C4—122no—
699C2×C4—241no—
700C2×C4C2×#62512yes—
701C2×C4C2×#62511yescharacteristic
702C2×C4D3×#6712yes—
703C2×C4D3×#6712yes—
704C2×C4C22×D3211yescharacteristic
705C8—181no—
706C8—181no—
707C8—182no—
708C2×C3—22no—
709C2×C3—22no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—42no—
715C2×C3—42no—
716C2×C3—82no—
717C2×C3—124no—
718C2×C3—122no—
719C2×C3—241no—
720C2×C3C2×#93711yescharacteristic
721C2×C3#583511yescharacteristic
722C2×C3#583511yescharacteristic
723C2×C3#583611yescharacteristic
724C2×C3#583711yescharacteristic
725C2×C3C2×#95311yescharacteristic
726D3—44no—
727D3—42no—
728D3—81no—
729C22—21no—
730C22—21no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—64no—
735C22—62no—
736C22—122no—
737C22—121no—
738C22—122no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—244no—
744C22—248no—
745C22#6397612yes—
746C22C22×#62511yescharacteristic
747C4—22no—
748C4—62no—
749C4—122no—
750C4—121no—
751C4#6397612yes—
752C4C2×D3×#6711yescharacteristic
753C4C2×D3×#6711yescharacteristic
754C3—21no—
755C3#8342411yescharacteristic, complemented
756C3#8410211yescharacteristic, complemented
757C2—22no—
758C2—42no—
759C2—124no—
760C2—122no—
761C2—241no—
762C2#1059544411yescharacteristic
763C2#1059544611yescharacteristic
764C2C2×#6397611yescharacteristic
subgroupG/H
centerC22C22×#625
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3012
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×#1009C2semidirect
2. C3×#5833C2semidirect
3. C2×#63823C2semidirect
4. C2×#63822C2semidirect
5. #10592933C2semidirect
6. #10591170C2semidirect
7. #10591169C2semidirect
8. #10591161C2semidirect
9. #10591160C2semidirect
10. #10591087C2semidirect
11. C2×#63562C2semidirect
22. C2×C3×#235C22semidirect
25. C2×#3748C22semidirect
26. C22×C3⋊(C3⋊C8)C22semidirect
30. C3×#930C22semidirect
31. C2×C3×C4⋊Dic3C22semidirect
32. C3×#924C22semidirect
33. C2×#3718C22semidirect
34. C2×#3715C22semidirect
35. C2×#3715C22semidirect
36. C2×#3715C22semidirect
39. C2×#3713C22semidirect
40. C2×#3713C22semidirect
41. #63657C22semidirect
42. #63657C22semidirect
43. #63565C22semidirect
44. #63562C22semidirect
45. #63562C22semidirect
46. #63562C22semidirect
48. C2×#1009D3semidirect
50. #5833D3semidirect
92. C3×#235D4semidirect
98. C2×C3×D12D4semidirect
144. C2×#235C2×D3semidirect
172. #930C2×D3semidirect
173. C2×C4⋊Dic3C2×D3semidirect
174. #924C2×D3semidirect
319. #235#67semidirect
325. C2×D12#67semidirect
660. C32#3012semidirect
755. C3#83424semidirect
756. C3#84102semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
C3×#58332
C2×#638232
C2×#638222
#105929332
#105911702
#105911692
#105911612
#105911602
#105910872
C2×#635622
#841023
#834243