Finite Group Databasebeta

← #11867169

Subgroups — #11867169

Order 1152.

1177 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5828C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic, complemented
3C2×#63908C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592931C211yesmaximal, characteristic, complemented
6#10591634C212yesmaximal, complemented
7#10591587C212yesmaximal, complemented
8#10591498C212yesmaximal, complemented
9#10591451C212yesmaximal, complemented
10#10591131C211yesmaximal, characteristic, complemented
11#10591085C211yesmaximal, characteristic, complemented
12#83950—31nomaximal
13#82924—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#625—21no—
18C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C3×#949—24no—
21C3×#946C2211yescharacteristic, complemented
22C3×#946C2211yescharacteristic, complemented
23C2×C3×#215C2212yescomplemented
24C3×#938C2211yescharacteristic, complemented
25C3×#938C2211yescharacteristic, complemented
26C3×#937—21no—
27C3×#935—21no—
28C2×C3×#213C2212yescomplemented
29C3×C4×#67—21no—
30C3×C4×#67—21no—
31C3×#926C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×(C2×D3)⋊Dic3—21no—
34#63908—21no—
35#63908—21no—
36#63908C2212yes—
37#63908C2212yes—
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63662C2212yescomplemented
42#63659C2212yescomplemented
43#63575C2212yescomplemented
44#63573C2212yescomplemented
45#63562C2212yescomplemented
46#63562C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48C3×#525—31no—
49#5828D311yescharacteristic, complemented
50C2×#949D311yescharacteristic, complemented
51C2×#938—31no—
52C2×#930—31no—
53C22×#208—31no—
54C2×D3×M16—31no—
55#5232—31no—
56#5232—31no—
57#5232—61no—
58#5215—31no—
59#5174—32no—
60#5171—32no—
61#5159—32no—
62#5157—32no—
63#5121—31no—
64#5049—32no—
65#5048—32no—
66#5039—32no—
67#5038—32no—
68#5001—31no—
69#4995—31no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C32×#41—22no—
73C32×#41—22no—
74C2×C32×Q8C2311yescharacteristic
75C2×C32×D4—21no—
76C2×C32×D4C2311yescharacteristic
77C22×C32×C4—21no—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3—21no—
80C2×C3×#67—21no—
81C2×C3×#67—21no—
82C22×C3×Dic3D411yescharacteristic
83C2×C3×D12—22no—
84C2×C3×D12—22no—
85C2×C3×D12—21no—
86C2×C3×D12C2312yes—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—22no—
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3D411yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×C4×D3C2311yescharacteristic
93C2×#625—22no—
94C2×#625—22no—
95C2×#625—44no—
96C4⋊(C3⋊Dic3)—21no—
97C4⋊(C3⋊Dic3)C2312yes—
98#3748—22no—
99C2×C3⋊(C3⋊C8)C2312yes—
100C3×#217—21no—
101C3×#217—21no—
102C3×#217—21no—
103C3×#215—24no—
104C3×#213—24no—
105C3×(C2×D3)⋊C4—21no—
106C3×(C2×D3)⋊C4—21no—
107C3×C4⋊Dic3C2311yescharacteristic
108C3×C4⋊Dic3C2311yescharacteristic
109C3×Dic3⋊C4—21no—
110C3×Dic3⋊C4—21no—
111C3×C4×Dic3—21no—
112C3×#208D414yescomplemented
113C2×C3×C3⋊C8C2312yes—
114(C2×D3)⋊Dic3—22no—
115(C2×D3)⋊Dic3—22no—
116#3711—24no—
117D3×C3⋊C8—24no—
118#3055—91noSylow
119C2×C3×#41—21no—
120C2×C3×#41C2×D311yescharacteristic
121C2×C3×#41C2×D311yescharacteristic
122C22×C3×D4—31no—
123C23×C3×C4—31no—
124C22×#67—61no—
125C22×#67—61no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3C2×D311yescharacteristic
128C3×AGL(1,ℤ/8)—64no—
129C2×C3×SD16—32no—
130C2×C3×D8—32no—
131C2×C3×M16—31no—
132C3×#123—61no—
133C3×C22⋊Q8—31no—
134C3×C22⋊Q8—31no—
135C3×#121—31no—
136C3×#121—31no—
137C3×#120—61no—
138C3×C4×D4—61no—
139C3×C4×D4—61no—
140C3×#117—31no—
141C2×#217—61no—
142#949—24no—
143#946C2×D311yescharacteristic, complemented
144#946C2×D311yescharacteristic, complemented
145C2×#215C2×D312yescomplemented
146#938—32no—
147#938—32no—
148#938—61no—
149#938—61no—
150#938C2×D311yescharacteristic, complemented
151#938C2×D311yescharacteristic, complemented
152#937—21no—
153#935—21no—
154C2×#213C2×D312yescomplemented
155#930—32no—
156#930—32no—
157#930—61no—
158#930—61no—
159C4×#67—21no—
160C4×#67—21no—
161C2×(C2×D3)⋊C4—61no—
162#926C2×D311yescharacteristic
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—61no—
166C2×#208—31no—
167C2×#208—31no—
168C2×#208—32no—
169C2×#208—61no—
170C2×#208—64no—
171C2×#208C2×D311yescharacteristic
172C22×C3⋊C8—32no—
173D3×M16—64no—
174C2×ΓL(1,𝔽25)—32no—
175C2×D3×C8—32no—
176#835—32no—
177#835—32no—
178#835—62no—
179#832—32no—
180#832—32no—
181#832—32no—
182#832—32no—
183#832—62no—
184#818—32no—
185#817—32no—
186#809—32no—
187#809—32no—
188#808—32no—
189#807—32no—
190C23×C32—21no—
191C23×C32C2×D411yescharacteristic
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—22no—
195C22×C3×D3—41no—
196C22×C3×D3—42no—
197C22×C3×D3—42no—
198C22×C3×D3—42no—
199C22×C3×D3C2×D411yescharacteristic
200C22×C3×D3C2×D411yescharacteristic
201C32×Q8—21no—
202C32×Q8—21no—
203C32×D4—21no—
204C32×D4—21no—
205C32×D4—42no—
206C2×C32×C4—21no—
207C2×C32×C4—42no—
208C2×C32×C4C2×D411yescharacteristic
209C2×C32×C4C2×D412yes—
210C2×C32×C4#4112yes—
211C2×C32×C4C2411yescharacteristic
212C2×C3⋊Dic3—22no—
213C2×C3⋊Dic3—42no—
214C3×#67—42no—
215C3×#67—42no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3C2×D411yescharacteristic
220C2×C3×Dic3C2×D411yescharacteristic
221C3×D12—22no—
222C3×D12—22no—
223C3×D12—42no—
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—21no—
227C3×C4×D3—21no—
228C3×C4×D3—21no—
229C3×C4×D3—21no—
230#625—44no—
231#625—44no—
232C3⋊(C3⋊C8)—22no—
233C3×C3⋊C8C2×D414yescomplemented
234C2×AGL(1,ℤ/8)—31no—
235C22×M16—91no—
236#525—31no—
237C2×#121—91no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—91no—
243#418—91no—
244#417—91no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3#6711yescharacteristic
249C3×#41—24no—
250C3×#41—22no—
251C3×#41—22no—
252C3×#41—22no—
253C3×#41—22no—
254C3×#41—42no—
255C2×C3×Q8—21no—
256C2×C3×Q8C22×D311yescharacteristic
257C2×C3×Q8C22×D311yescharacteristic
258C2×C3×D4—21no—
259C2×C3×D4—21no—
260C2×C3×D4—21no—
261C2×C3×D4—32no—
262C2×C3×D4—41no—
263C2×C3×D4—61no—
264C2×C3×D4—61no—
265C2×C3×D4—62no—
266C2×C3×D4—62no—
267C2×C3×D4—61no—
268C2×C3×D4C22×D311yescharacteristic
269C2×C3×D4C22×D311yescharacteristic
270C22×C3×C4—21no—
271C22×C3×C4—21no—
272C22×C3×C4—21no—
273C22×C3×C4—31no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—41no—
279C22×C3×C4—62no—
280C22×C3×C4—62no—
281C22×C3×C4C22×D311yescharacteristic
282C22×C3×C4C22×D311yescharacteristic
283C2×#67—21no—
284C2×#67—21no—
285C2×#67—62no—
286C2×#67—62no—
287C2×#67—62no—
288C2×#67—62no—
289C2×#67—124no—
290C2×#67—124no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3—121no—
294C22×Dic3#6711yescharacteristic
295C2×D12—22no—
296C2×D12—22no—
297C2×D12—21no—
298C2×D12C22×D312yes—
299C2×C4×D3—22no—
300C2×C4×D3—22no—
301C2×C4×D3#6711yescharacteristic
302C2×C4×D3#6711yescharacteristic
303C2×C4×D3C22×D311yescharacteristic
304C2×C4×D3C22×D311yescharacteristic
305C3×SD16—64no—
306C3×D8—64no—
307C3×M16—34no—
308C2×C3×C8—32no—
309C3×C4⋊C4—31no—
310C3×C4⋊C4—31no—
311C3×C4⋊C4—61no—
312C3×C4⋊C4—61no—
313C3×C22⋊C4—61no—
314C3×C22⋊C4—61no—
315C3×C22⋊C4—61no—
316C3×C22⋊C4—61no—
317C3×C22⋊C4—61no—
318C3×C42—61no—
319#217—21no—
320#217—21no—
321#217—21no—
322#217—62no—
323#217—62no—
324#215—24no—
325#213—24no—
326(C2×D3)⋊C4—21no—
327(C2×D3)⋊C4—21no—
328(C2×D3)⋊C4—62no—
329(C2×D3)⋊C4—62no—
330C4⋊Dic3—32no—
331C4⋊Dic3—32no—
332C4⋊Dic3—62no—
333C4⋊Dic3—61no—
334C4⋊Dic3—61no—
335C4⋊Dic3—121no—
336C4⋊Dic3C22×D311yescharacteristic
337C4⋊Dic3C22×D311yescharacteristic
338Dic3⋊C4—21no—
339Dic3⋊C4—21no—
340C4×Dic3—21no—
341#208—62no—
342#208—62no—
343#208—64no—
344#208—122no—
345#208#6714yescomplemented
346C2×C3⋊C8—32no—
347C2×C3⋊C8—32no—
348C2×C3⋊C8—62no—
349C2×C3⋊C8—64no—
350C2×C3⋊C8C22×D312yes—
351ΓL(1,𝔽25)—64no—
352D3×C8—64no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32—41no—
356C22×C32—41no—
357C22×C32—41no—
358C22×C32#12112yes—
359C22×C32C22×D411yescharacteristic
360C2×C3×D3—21no—
361C2×C3×D3—21no—
362C2×C3×D3—21no—
363C2×C3×D3—21no—
364C2×C3×D3—21no—
365C2×C3×D3—44no—
366C2×C3×D3—42no—
367C2×C3×D3—42no—
368C2×C3×D3—42no—
369C2×C3×D3—84no—
370C2×C3×D3AGL(1,ℤ/8)12yescomplemented
371C32×C4—41no—
372C32×C4#12112yes—
373C32×C4C22×D411yescharacteristic
374C32×C4C2×#4111yescharacteristic
375C3⋊Dic3—42no—
376C3×Dic3—21no—
377C3×Dic3—21no—
378C3×Dic3—41no—
379C3×Dic3—41no—
380C2×#41D3211yescharacteristic
381C22×D4—31no—
382C22×D4—181no—
383C23×C4—31no—
384AGL(1,ℤ/8)—64no—
385C2×SD16—32no—
386C2×D8—32no—
387C2×M16—31no—
388C2×M16—92no—
389C2×M16—91no—
390C2×M16—184no—
391C22×C8—92no—
392#123—61no—
393C22⋊Q8—31no—
394C22⋊Q8—31no—
395#121—31no—
396#121—31no—
397#121—92no—
398#121—92no—
399#121—181no—
400#121—181no—
401#120—61no—
402C4×D4—61no—
403C4×D4—61no—
404#117—31no—
405C2×C4⋊C4—91no—
406C2×C22⋊C4—181no—
407#107—92no—
408#106—92no—
409#103—92no—
410#102—92no—
411#102—92no—
412#102—92no—
413C23×C3—21no—
414C23×C3—21no—
415C23×C3—21no—
416C23×C3—31no—
417C23×C3—31no—
418C23×C3—41no—
419C23×C3—62no—
420C23×C3—62no—
421C23×C3—62no—
422C23×C3—121no—
423C23×C3—122no—
424C23×C3—122no—
425C23×C3—122no—
426C23×C3D3×D411yescharacteristic
427C23×C3C2×#6711yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—41no—
432C22×D3—42no—
433C22×D3—42no—
434C22×D3—42no—
435C22×D3C2×#6711yescharacteristic
436C22×D3C2×#6711yescharacteristic
437C3×Q8—22no—
438C3×Q8—21no—
439C3×Q8—21no—
440C3×Q8—21no—
441C3×Q8—21no—
442C3×Q8—41no—
443C3×D4—22no—
444C3×D4—21no—
445C3×D4—21no—
446C3×D4—21no—
447C3×D4—21no—
448C3×D4—41no—
449C3×D4—44no—
450C3×D4—42no—
451C3×D4—42no—
452C3×D4—62no—
453C3×D4—62no—
454C3×D4—122no—
455C3×D4—122no—
456C3×D4—122no—
457C2×C3×C4—21no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—21no—
463C2×C3×C4—31no—
464C2×C3×C4—31no—
465C2×C3×C4—41no—
466C2×C3×C4—44no—
467C2×C3×C4—42no—
468C2×C3×C4—42no—
469C2×C3×C4—62no—
470C2×C3×C4—62no—
471C2×C3×C4—62no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—61no—
476C2×C3×C4—61no—
477C2×C3×C4—61no—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D412yes—
480C2×C3×C4#23712yes—
481C2×C3×C4#23712yes—
482C2×C3×C4C2×#6712yes—
483C2×C3×C4C2×#6711yescharacteristic
484C2×C3×C4C23×D311yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486#67—42no—
487#67—42no—
488#67—124no—
489#67—124no—
490#67—124no—
491#67—124no—
492C2×Dic3—22no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—62no—
496C2×Dic3—62no—
497C2×Dic3—122no—
498C2×Dic3—122no—
499C2×Dic3—122no—
500C2×Dic3—242no—
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503D12—22no—
504D12—22no—
505D12—42no—
506C4×D3—22no—
507C4×D3—22no—
508C4×D3—21no—
509C4×D3—21no—
510C4×D3—21no—
511C4×D3—21no—
512C3×C8—34no—
513C3⋊C8—62no—
514C3⋊C8—62no—
515C3⋊C8—122no—
516C3⋊C8C2×#6714yescomplemented
517C2×C32—22no—
518C2×C32—81no—
519C2×C32C2×#12111yescharacteristic
520C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
521C2×C32#57511yescharacteristic
522C3×D3—22no—
523C3×D3—41no—
524C3×D3—82no—
525C24—31no—
526C24—61no—
527#41—22no—
528#41—22no—
529C2×Q8C2×D3211yescharacteristic
530C2×D4—21no—
531C2×D4—32no—
532C2×D4—61no—
533C2×D4—61no—
534C2×D4—62no—
535C2×D4—62no—
536C2×D4—61no—
537C2×D4—182no—
538C2×D4—182no—
539C2×D4—364no—
540C2×D4C2×D3211yescharacteristic
541C22×C4—21no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—31no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—181no—
550C22×C4C2×D3211yescharacteristic
551SD16—64no—
552D8—64no—
553M16—34no—
554M16—184no—
555M16—182no—
556C2×C8—32no—
557C2×C8—92no—
558C2×C8—184no—
559C4⋊C4—31no—
560C4⋊C4—31no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—92no—
564C4⋊C4—181no—
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—61no—
569C22⋊C4—61no—
570C22⋊C4—182no—
571C22⋊C4—182no—
572C42—61no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—21no—
578C22×C3—22no—
579C22×C3—32no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—42no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—81no—
595C22×C3—81no—
596C22×C3—124no—
597C22×C3—122no—
598C22×C3—122no—
599C22×C3—122no—
600C22×C3—244no—
601C22×C3#93812yes—
602C22×C3#93912yes—
603C22×C3C2×D3×D411yescharacteristic
604C22×C3C22×#6711yescharacteristic
605C2×D3—21no—
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—44no—
611C2×D3—42no—
612C2×D3—42no—
613C2×D3—42no—
614C2×D3—84no—
615C2×D3#94912yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—42no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—61no—
623C3×C4—61no—
624C3×C4—121no—
625C3×C4—121no—
626C3×C4#93812yes—
627C3×C4#93912yes—
628C3×C4C2×D3×D411yescharacteristic
629C3×C4C2×#23711yescharacteristic
630C3×C4C2×#23711yescharacteristic
631C3×C4C22×#6711yescharacteristic
632Dic3—21no—
633Dic3—21no—
634Dic3—41no—
635Dic3—41no—
636Dic3—122no—
637Dic3—122no—
638Dic3—242no—
639C32#305511yescharacteristic, complemented, Sylow
640C23—21no—
641C23—31no—
642C23—31no—
643C23—62no—
644C23—62no—
645C23—62no—
646C23—121no—
647C23—122no—
648C23—122no—
649C23—122no—
650C23D3×#6711yescharacteristic
651Q8—21no—
652Q8—21no—
653D4—21no—
654D4—21no—
655D4—42no—
656D4—62no—
657D4—62no—
658D4—122no—
659D4—122no—
660D4—122no—
661D4—364no—
662D4—364no—
663C2×C4—21no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—42no—
667C2×C4—62no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—182no—
677C2×C4—362no—
678C2×C4#380512yes—
679C2×C4D3×#6712yes—
680C2×C4D3×#6711yescharacteristic
681C2×C4C22×D3211yescharacteristic
682C8—34no—
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—82no—
692C2×C3—81no—
693C2×C3—81no—
694C2×C3—121no—
695C2×C3—242no—
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3#577311yescharacteristic
698C2×C3C2×#93811yescharacteristic
699C2×C3C2×#93911yescharacteristic
700C2×C3C2×#94911yescharacteristic
701C2×C3#582211yescharacteristic
702D3—22no—
703D3—41no—
704D3—82no—
705C22—21no—
706C22—21no—
707C22—32no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—61no—
716C22—124no—
717C22—122no—
718C22—122no—
719C22—122no—
720C22—244no—
721C22#6397012yes—
722C22C2×D3×#6711yescharacteristic
723C4—41no—
724C4—61no—
725C4—61no—
726C4—121no—
727C4—121no—
728C4—362no—
729C4#6397012yes—
730C4C2×#380511yescharacteristic
731C4C2×D3×#6711yescharacteristic
732C3—21no—
733C3#8292411yescharacteristic, complemented
734C3#8395011yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—81no—
738C2—121no—
739C2—242no—
740C2D3×#94911yescharacteristic
741C2#1059546911yescharacteristic
742C2C2×#6397011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C3×#5828C2semidirect
2. C2×C3×#949C2semidirect
3. C2×#63908C2semidirect
4. C2×D3×#208C2semidirect
5. #10592931C2semidirect
6. #10591634C2semidirect
7. #10591587C2semidirect
8. #10591498C2semidirect
9. #10591451C2semidirect
10. #10591131C2semidirect
11. #10591085C2semidirect
21. C3×#946C22semidirect
22. C3×#946C22semidirect
23. C2×C3×#215C22semidirect
24. C3×#938C22semidirect
25. C3×#938C22semidirect
28. C2×C3×#213C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63662C22semidirect
42. #63659C22semidirect
43. #63575C22semidirect
44. #63573C22semidirect
45. #63562C22semidirect
46. #63562C22semidirect
49. #5828D3semidirect
50. C2×#949D3semidirect
112. C3×#208D4semidirect
143. #946C2×D3semidirect
144. #946C2×D3semidirect
145. C2×#215C2×D3semidirect
150. #938C2×D3semidirect
151. #938C2×D3semidirect
154. C2×#213C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
345. #208#67semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
516. C3⋊C8C2×#67semidirect
615. C2×D3#949semidirect
639. C32#3055semidirect
733. C3#82924semidirect
734. C3#83950semidirect

Maximal subgroups

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

subgroupindex
C3×#58282
C2×C3×#9492
C2×#639082
C2×D3×#2082
#105929312
#105916342
#105915872
#105914982
#105914512
#105911312
#105910852
#839503
#829243