Finite Group Databasebeta

← #11867175

Subgroups — #11867175

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
1C2×C3×D3×M16C211yesmaximal, characteristic, complemented
2#10595023C211yesmaximal, characteristic, complemented
3C2×#63908C211yesmaximal, characteristic, complemented
4C2×#63830C211yesmaximal, characteristic, complemented
5#10592832C211yesmaximal, characteristic, complemented
6C3×#5131C211yesmaximal, characteristic, complemented
7#10591131C211yesmaximal, characteristic, complemented
8#10590828C212yesmaximal, complemented
9#10590827C212yesmaximal, complemented
10#10590826C212yesmaximal, complemented
11#10590825C212yesmaximal, complemented
12#83772—31nomaximal
13#78930—31nomaximal
14C2×#3828C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#625—21no—
18C2×C32×M16C2211yescharacteristic
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C3×#926C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×D3×M16—24no—
23C2×C3×ΓL(1,𝔽25)C2212yescomplemented
24C2×C3×D3×C8C2212yescomplemented
25#63977—21no—
26#63966—21no—
27C2×(C2×D3)⋊Dic3—21no—
28#63909C2211yescharacteristic, complemented
29#63909C2211yescharacteristic, complemented
30#63908—21no—
31#63908—21no—
32#63908C2212yes—
33#63908C2212yes—
34C4×#626—21no—
35C4×#626—21no—
36#63857C2211yescharacteristic, complemented
37#63857C2211yescharacteristic, complemented
38#63830—24no—
39C2×#3716C2212yescomplemented
40C2×#3714C2212yescomplemented
41#63648C2212yescomplemented
42#63643C2212yescomplemented
43C3×#821C2212yescomplemented
44C3×#821C2212yescomplemented
45#63575C2212yescomplemented
46#63573C2212yescomplemented
47C22×C3×M16—31no—
48C2×#938—31no—
49C2×#932—31no—
50#5791—31no—
51C2×#930—31no—
52C2×#908—31no—
53C2×D3×M16D311yescharacteristic, complemented
54#5524—31no—
55C3×#418—31no—
56#5135—32no—
57#5134—32no—
58#5133—31no—
59#5133—31no—
60#5133—61no—
61#5131D311yescharacteristic, complemented
62#5121—31no—
63#5115—32no—
64#5114—32no—
65#4995—31no—
66#4782—32no—
67#4780—32no—
68#4778—32no—
69#4775—32no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C2×#638—21no—
74C22×C3⋊Dic3—21no—
75#3828—22no—
76#3828—22no—
77C2×C4⋊(C3⋊D3)C2311yescharacteristic
78C2×C4×C3⋊D3—21no—
79C2×#634C2311yescharacteristic
80C22×C3×Dic3D411yescharacteristic
81C2×C3×D12—22no—
82C2×C3×D12—22no—
83C2×C3×D12—21no—
84C2×C3×D12C2312yes—
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×#626—21no—
92C2×#626—21no—
93C2×#625—22no—
94C2×#625—22no—
95C2×#625—44no—
96C32×M16—22no—
97C2×C32×C8C2312yes—
98C4⋊(C3⋊Dic3)—21no—
99C4⋊(C3⋊Dic3)C2312yes—
100C3×#217—21no—
101C3×C4⋊Dic3C2311yescharacteristic
102C3×C4⋊Dic3C2311yescharacteristic
103C3×C4×Dic3—21no—
104C3×#208D414yescomplemented
105C2×C3×C3⋊C8C2312yes—
106C3×ΓL(1,𝔽25)—24no—
107C3×D3×C8—24no—
108Dic3⋊Dic3—21no—
109Dic3⋊Dic3—21no—
110#3722—21no—
111#3722—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114(C2×D3)⋊Dic3—22no—
115(C2×D3)⋊Dic3—22no—
116#3716—24no—
117#3714—24no—
118#3055—91noSylow
119C22×C3×D4—31no—
120C23×C3×C4—31no—
121C22×#67—61no—
122C22×#67—61no—
123C2×#235—31no—
124C2×#235—31no—
125C2×#235—61no—
126C22×D12C2×D311yescharacteristic
127C22×C4×D3C2×D311yescharacteristic
128C2×C3×M16—21no—
129C2×C3×M16—31no—
130C2×C3×M16—32no—
131C2×C3×M16—64no—
132C2×C3×M16C2×D311yescharacteristic
133C2×C3×M16C2×D311yescharacteristic
134C22×C3×C8—32no—
135C3×#117—31no—
136#953—61no—
137C2×#217—61no—
138#938—32no—
139#938—32no—
140#938—61no—
141#938—61no—
142C2×#214—32no—
143#932—64no—
144C2×#213—32no—
145#930—32no—
146#930—32no—
147#930—31no—
148#930—31no—
149#930—61no—
150#930—61no—
151#929—61no—
152C4×#67—61no—
153C4×#67—61no—
154C2×(C2×D3)⋊C4—61no—
155#926C2×D311yescharacteristic
156C2×C4⋊Dic3—31no—
157C2×C4⋊Dic3—31no—
158C2×C4⋊Dic3—61no—
159#924—31no—
160#924—31no—
161C2×#208C2×D311yescharacteristic
162#908—64no—
163D3×M16—24no—
164C2×D24—32no—
165C2×#204—32no—
166C2×ΓL(1,𝔽25)C2×D312yescomplemented
167C2×D3×C8C2×D312yescomplemented
168#897—31no—
169#897—31no—
170#895—31no—
171#895—31no—
172#886—61no—
173#882—61no—
174C4×D12—61no—
175C4×D12—61no—
176C3×#102—32no—
177C3×#102—32no—
178#821—32no—
179#821—32no—
180#821—62no—
181#821C2×D312yescomplemented
182#821C2×D312yescomplemented
183#818—32no—
184#817—32no—
185#816—32no—
186#816—32no—
187#816—62no—
188#808—32no—
189#807—32no—
190C23×C32C2×D411yescharacteristic
191C22×C3⋊D3—21no—
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
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D412yes—
203C2×C32×C4#4112yes—
204C2×C32×C4C2411yescharacteristic
205#638—42no—
206C2×C3⋊Dic3—21no—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—42no—
209C4⋊(C3⋊D3)—21no—
210C4⋊(C3⋊D3)—21no—
211C4×C3⋊D3—42no—
212#634—21no—
213#634—21no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—21no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3C2×D411yescharacteristic
218C2×C3×Dic3C2×D411yescharacteristic
219C3×D12—22no—
220C3×D12—22no—
221C3×D12—42no—
222C3×C4×D3—22no—
223C3×C4×D3—22no—
224C3×C4×D3—21no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—21no—
228#626—42no—
229#626—42no—
230#625—44no—
231#625—44no—
232C32×C8—22no—
233C3×C3⋊C8C2×D414yescomplemented
234C2×AGL(1,ℤ/8)—91no—
235C22×M16—31no—
236#525—91no—
237C2×#121—91no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—91no—
243#418—31no—
244#417—91no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3D1211yescharacteristic
249C2×C3×D4—32no—
250C2×C3×D4—61no—
251C2×C3×D4—62no—
252C2×C3×D4—62no—
253C22×C3×C4—21no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—31no—
259C22×C3×C4—62no—
260C22×C3×C4—62no—
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—61no—
264C2×#67—61no—
265C2×#67—62no—
266C2×#67—62no—
267C2×#67—61no—
268C2×#67—61no—
269C2×#67—62no—
270C2×#67—62no—
271C2×#67—121no—
272C2×#67—124no—
273C2×#67—124no—
274C22×Dic3—61no—
275C22×Dic3—61no—
276C22×Dic3—121no—
277C22×Dic3D1211yescharacteristic
278#235—64no—
279#235—62no—
280#235—62no—
281#235—62no—
282#235—62no—
283#235—122no—
284C2×D12—22no—
285C2×D12—22no—
286C2×D12—21no—
287C2×D12—31no—
288C2×D12—31no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—61no—
292C2×D12C22×D312yes—
293C2×C4×D3—22no—
294C2×C4×D3—22no—
295C2×C4×D3—61no—
296C2×C4×D3—61no—
297C2×C4×D3—121no—
298C2×C4×D3D1211yescharacteristic
299C2×C4×D3D1211yescharacteristic
300C2×C4×D3C22×D311yescharacteristic
301C2×C4×D3C22×D311yescharacteristic
302C2×Dic6—31no—
303C2×Dic6—31no—
304C2×Dic6—61no—
305C3×M16—22no—
306C3×M16—22no—
307C3×M16—34no—
308C3×M16—42no—
309C3×M16—64no—
310C2×C3×C8—22no—
311C2×C3×C8—32no—
312C2×C3×C8—64no—
313C2×C3×C8C22×D312yes—
314C2×C3×C8C22×D312yes—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C22⋊C4—61no—
318C3×C42—61no—
319#217—21no—
320#217—61no—
321#217—61no—
322#217—62no—
323#217—62no—
324#214—64no—
325#213—64no—
326(C2×D3)⋊C4—61no—
327(C2×D3)⋊C4—61no—
328(C2×D3)⋊C4—62no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—61no—
331(C2×D3)⋊C4—61no—
332(C2×D3)⋊C4—61no—
333(C2×D3)⋊C4—61no—
334C4⋊Dic3—32no—
335C4⋊Dic3—32no—
336C4⋊Dic3—62no—
337C4⋊Dic3—61no—
338C4⋊Dic3—61no—
339C4⋊Dic3—61no—
340C4⋊Dic3—61no—
341C4⋊Dic3—121no—
342C4⋊Dic3C22×D311yescharacteristic
343C4⋊Dic3C22×D311yescharacteristic
344Dic3⋊C4—61no—
345Dic3⋊C4—61no—
346C4×Dic3—21no—
347#208#6714yescomplemented
348C2×C3⋊C8C22×D312yes—
349D24—64no—
350#204—64no—
351ΓL(1,𝔽25)—24no—
352D3×C8—24no—
353C22×C32—21no—
354C22×C32—21no—
355C22×C32#12112yes—
356C22×C32C22×D411yescharacteristic
357C2×C3⋊D3—41no—
358C2×C3⋊D3—41no—
359C2×C3⋊D3—41no—
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#12112yes—
372C32×C4C22×D411yescharacteristic
373C32×C4C2×#4111yescharacteristic
374C3⋊Dic3—41no—
375C3⋊Dic3—42no—
376C3×Dic3—21no—
377C3×Dic3—21no—
378C3×Dic3—41no—
379C3×Dic3—41no—
380C2×#41—91no—
381C22×D4—31no—
382C22×D4—181no—
383C23×C4—31no—
384AGL(1,ℤ/8)—184no—
385C2×SD16—92no—
386C2×D8—92no—
387C2×M16—31no—
388C2×M16—32no—
389C2×M16—64no—
390C2×M16D3211yescharacteristic
391C22×C8—32no—
392#123—181no—
393C22⋊Q8—91no—
394C22⋊Q8—91no—
395#121—91no—
396#121—91no—
397#121—92no—
398#121—92no—
399#121—181no—
400#121—181no—
401#120—181no—
402C4×D4—181no—
403C4×D4—181no—
404#117—31no—
405C2×C4⋊C4—91no—
406C2×C22⋊C4—181no—
407#107—92no—
408#106—92no—
409#103—92no—
410#102—32no—
411#102—32no—
412#102—92no—
413C23×C3—21no—
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—62no—
417C23×C3—62no—
418C23×C3—62no—
419C23×C3—121no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3—122no—
423C23×C3C2×D1211yescharacteristic
424C23×C3D3×D411yescharacteristic
425C22×D3—22no—
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—41no—
429C22×D3—42no—
430C22×D3—42no—
431C22×D3—42no—
432C22×D3—61no—
433C22×D3—61no—
434C22×D3—121no—
435C22×D3C2×D1211yescharacteristic
436C22×D3C2×D1211yescharacteristic
437C3×D4—62no—
438C3×D4—62no—
439C3×D4—122no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—22no—
444C2×C3×C4—31no—
445C2×C3×C4—31no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—62no—
449C2×C3×C4—61no—
450C2×C3×C4—61no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—61no—
454C2×C3×C4—61no—
455C2×C3×C4C2×D1211yescharacteristic
456C2×C3×C4#23512yes—
457C2×C3×C4#23512yes—
458C2×C3×C4D3×D411yescharacteristic
459C2×C3×C4D3×D412yes—
460C2×C3×C4C2×#6712yes—
461C2×C3×C4C23×D311yescharacteristic
462C2×C3×C4C23×D311yescharacteristic
463#67—122no—
464#67—122no—
465#67—124no—
466#67—124no—
467#67—124no—
468#67—124no—
469#67—122no—
470#67—122no—
471#67—124no—
472C2×Dic3—22no—
473C2×Dic3—21no—
474C2×Dic3—21no—
475C2×Dic3—62no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—62no—
479C2×Dic3—121no—
480C2×Dic3—122no—
481C2×Dic3—122no—
482C2×Dic3—122no—
483C2×Dic3—242no—
484C2×Dic3C2×D1211yescharacteristic
485C2×Dic3C2×D1211yescharacteristic
486D12—22no—
487D12—22no—
488D12—42no—
489D12—62no—
490D12—61no—
491D12—61no—
492D12—61no—
493D12—61no—
494D12—121no—
495D12—122no—
496D12—122no—
497C4×D3—22no—
498C4×D3—22no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—21no—
502C4×D3—21no—
503C4×D3—124no—
504C4×D3—122no—
505C4×D3—122no—
506Dic6—62no—
507Dic6—61no—
508Dic6—61no—
509Dic6—61no—
510Dic6—61no—
511Dic6—121no—
512C3×C8—22no—
513C3×C8—22no—
514C3×C8—34no—
515C3×C8—42no—
516C3⋊C8C2×#6714yescomplemented
517C2×C32—22no—
518C2×C32C2×#12111yescharacteristic
519C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
520C2×C32#57511yescharacteristic
521C3⋊D3—81no—
522C3×D3—22no—
523C3×D3—41no—
524C3×D3—82no—
525C24—31no—
526C24—61no—
527#41—182no—
528#41—182no—
529C2×Q8—91no—
530C2×D4—32no—
531C2×D4—62no—
532C2×D4—61no—
533C2×D4—62no—
534C2×D4—91no—
535C2×D4—181no—
536C2×D4—181no—
537C2×D4—182no—
538C2×D4—182no—
539C2×D4—181no—
540C2×D4—364no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—62no—
547C22×C4—62no—
548C22×C4—181no—
549C22×C4—181no—
550C22×C4C2×D3211yescharacteristic
551SD16—184no—
552D8—184no—
553M16—22no—
554M16—34no—
555M16—64no—
556C2×C8—32no—
557C2×C8—64no—
558C2×C8C2×D3212yes—
559C4⋊C4—31no—
560C4⋊C4—31no—
561C4⋊C4—92no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C4⋊C4—181no—
565C22⋊C4—61no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—182no—
569C22⋊C4—182no—
570C22⋊C4—181no—
571C22⋊C4—181no—
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—61no—
583C22×C3—61no—
584C22×C3—61no—
585C22×C3—61no—
586C22×C3—61no—
587C22×C3—124no—
588C22×C3—122no—
589C22×C3—122no—
590C22×C3—122no—
591C22×C3—244no—
592C22×C3#88412yes—
593C22×C3#93012yes—
594C22×C3C22×D1211yescharacteristic
595C22×C3C2×D3×D411yescharacteristic
596C2×D3—21no—
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—21no—
600C2×D3—21no—
601C2×D3—44no—
602C2×D3—42no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—84no—
606C2×D3—122no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—241no—
614C2×D3—241no—
615C2×D3#90812yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—121no—
622C3×C4—121no—
623C3×C4#88412yes—
624C3×C4#93012yes—
625C3×C4C2×#23511yescharacteristic
626C3×C4C2×#23511yescharacteristic
627C3×C4C2×D3×D411yescharacteristic
628C3×C4C22×#6711yescharacteristic
629Dic3—21no—
630Dic3—21no—
631Dic3—41no—
632Dic3—41no—
633Dic3—122no—
634Dic3—121no—
635Dic3—122no—
636Dic3—122no—
637Dic3—121no—
638Dic3—242no—
639C32#305511yescharacteristic, complemented, Sylow
640C23—31no—
641C23—31no—
642C23—62no—
643C23—62no—
644C23—62no—
645C23—121no—
646C23—122no—
647C23—122no—
648C23—122no—
649C23—181no—
650C23D3×D1211yescharacteristic
651Q8—181no—
652Q8—181no—
653D4—62no—
654D4—62no—
655D4—122no—
656D4—181no—
657D4—181no—
658D4—362no—
659D4—362no—
660D4—364no—
661D4—364no—
662D4—362no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—61no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—182no—
675C2×C4—181no—
676C2×C4—362no—
677C2×C4—362no—
678C2×C4#379812yes—
679C2×C4D3×D1211yescharacteristic
680C2×C4D3×#6712yes—
681C2×C4C22×D3211yescharacteristic
682C8—22no—
683C8—34no—
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×C3—242no—
693C2×C3C2×#88411yescharacteristic
694C2×C3C2×#90811yescharacteristic
695C2×C3#574811yescharacteristic
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3#577311yescharacteristic
698C2×C3C2×#93011yescharacteristic
699D3—22no—
700D3—41no—
701D3—82no—
702D3—242no—
703D3—241no—
704D3—241no—
705C22—21no—
706C22—21no—
707C22—32no—
708C22—61no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—124no—
714C22—122no—
715C22—122no—
716C22—122no—
717C22—244no—
718C22—361no—
719C22—361no—
720C22—361no—
721C22#6390612yes—
722C22C2×D3×D1211yescharacteristic
723C4—61no—
724C4—61no—
725C4—121no—
726C4—121no—
727C4—362no—
728C4—361no—
729C4#6390612yes—
730C4C2×#379811yescharacteristic
731C4C2×D3×#6711yescharacteristic
732C3—21no—
733C3#7893011yescharacteristic, complemented
734C3#8377211yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—121no—
738C2—242no—
739C2—721no—
740C2D3×#90811yescharacteristic
741C2#1059471211yescharacteristic
742C2C2×#6390611yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×M16C22
socleC22×C32C22×D4
hypercenterC2×M16D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×M16C2semidirect
2. #10595023C2semidirect
3. C2×#63908C2semidirect
4. C2×#63830C2semidirect
5. #10592832C2semidirect
6. C3×#5131C2semidirect
7. #10591131C2semidirect
8. #10590828C2semidirect
9. #10590827C2semidirect
10. #10590826C2semidirect
11. #10590825C2semidirect
23. C2×C3×ΓL(1,𝔽25)C22semidirect
24. C2×C3×D3×C8C22semidirect
28. #63909C22semidirect
29. #63909C22semidirect
36. #63857C22semidirect
37. #63857C22semidirect
39. C2×#3716C22semidirect
40. C2×#3714C22semidirect
41. #63648C22semidirect
42. #63643C22semidirect
43. C3×#821C22semidirect
44. C3×#821C22semidirect
45. #63575C22semidirect
46. #63573C22semidirect
53. C2×D3×M16D3semidirect
61. #5131D3semidirect
104. C3×#208D4semidirect
166. C2×ΓL(1,𝔽25)C2×D3semidirect
167. C2×D3×C8C2×D3semidirect
181. #821C2×D3semidirect
182. #821C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
347. #208#67semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
516. C3⋊C8C2×#67semidirect
615. C2×D3#908semidirect
639. C32#3055semidirect
733. C3#78930semidirect
734. C3#83772semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×M162
#105950232
C2×#639082
C2×#638302
#105928322
C3×#51312
#105911312
#105908282
#105908272
#105908262
#105908252
#837723
#789303