Finite Group Databasebeta

← #11867163

Subgroups — #11867163

Order 1152.

1155 conjugacy classes of subgroups.

The subgroup lattice has 733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#908C211yesmaximal, characteristic, complemented
2C2×C3×D3×M16C211yesmaximal, characteristic, complemented
3#10595022C211yesmaximal, characteristic, complemented
4C2×#63908C211yesmaximal, characteristic, complemented
5#10592820C211yesmaximal, characteristic, complemented
6#10591088C211yesmaximal, characteristic, complemented
7#10591086C211yesmaximal, characteristic, complemented
8#10590836C212yesmaximal, complemented
9#10590833C212yesmaximal, complemented
10#10590831C212yesmaximal, complemented
11#10590829C212yesmaximal, complemented
12#83950—31nomaximal
13#83772—31nomaximal
14C2×C3×#235C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#625—21no—
18C2×C32×M16C2211yescharacteristic
19#64135C2211yescharacteristic
20C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×#908—24no—
23C3×D3×M16—24no—
24C2×C3×D24C2212yescomplemented
25C2×C3×#204C2212yescomplemented
26C2×C3×ΓL(1,𝔽25)C2212yescomplemented
27C2×C3×D3×C8C2212yescomplemented
28#63976—21no—
29#63961—21no—
30C2×(C2×D3)⋊Dic3—21no—
31#63908—21no—
32#63908—21no—
33#63908C2212yes—
34#63908C2212yes—
35#63908C2211yescharacteristic, complemented
36#63908C2211yescharacteristic, complemented
37C4×#625—21no—
38C4×#625—21no—
39#63856C2211yescharacteristic, complemented
40#63856C2211yescharacteristic, complemented
41#63645C2212yescomplemented
42#63644C2212yescomplemented
43#63566C2212yescomplemented
44#63563C2212yescomplemented
45#63563C2212yescomplemented
46#63563C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48C22×C3×M16—31no—
49#5828—31no—
50C2×#938—31no—
51#5791—31no—
52C2×#930—31no—
53C2×#908D311yescharacteristic, complemented
54C2×D3×M16D311yescharacteristic, complemented
55#5232—31no—
56#5215—31no—
57#5174—32no—
58#5171—32no—
59#5159—32no—
60#5157—32no—
61#5135—32no—
62#5134—32no—
63#5133—31no—
64#5131—31no—
65#5121—31no—
66#5121—31no—
67#5121—61no—
68#5115—32no—
69#5114—32no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×C3×#67—21no—
75C22×C3×Dic3D411yescharacteristic
76C3×#235—22no—
77C3×#235—22no—
78C2×C3×D12—22no—
79C2×C3×D12—22no—
80C2×C3×D12—21no—
81C2×C3×D12C2312yes—
82C2×C3×D12C2311yescharacteristic
83C2×C3×C4×D3—22no—
84C2×C3×C4×D3—22no—
85C2×C3×C4×D3—21no—
86C2×C3×C4×D3D411yescharacteristic
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3C2311yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×Dic6C2311yescharacteristic
91C2×#625—22no—
92C2×#625—22no—
93C2×#625—21no—
94C2×#625—21no—
95C2×#625—44no—
96C32×M16D414yescomplemented
97C2×C32×C8C2312yes—
98#3757—21no—
99C4⋊(C3⋊Dic3)—21no—
100C4⋊(C3⋊Dic3)C2311yescharacteristic
101C4⋊(C3⋊Dic3)C2311yescharacteristic
102C4⋊(C3⋊Dic3)C2312yes—
103C4×C3⋊Dic3—21no—
104C3×#208—22no—
105C2×C3×C3⋊C8C2312yes—
106C3×D24—24no—
107C3×#204—24no—
108C3×ΓL(1,𝔽25)—24no—
109C3×D3×C8—24no—
110#3724—21no—
111#3724—21no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114(C2×D3)⋊Dic3—21no—
115(C2×D3)⋊Dic3—21no—
116(C2×D3)⋊Dic3—22no—
117(C2×D3)⋊Dic3—22no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C22×C3×D4—31no—
121C23×C3×C4—31no—
122C22×#67—61no—
123C22×#67—61no—
124C2×#235C2×D311yescharacteristic
125C22×D12C2×D311yescharacteristic
126C22×C4×D3C2×D311yescharacteristic
127C3×AGL(1,ℤ/8)—64no—
128C2×C3×SD16—32no—
129C2×C3×D8—32no—
130C2×C3×M16—21no—
131C2×C3×M16—31no—
132C2×C3×M16—32no—
133C2×C3×M16—64no—
134C2×C3×M16C2×D311yescharacteristic
135C2×C3×M16C2×D311yescharacteristic
136C22×C3×C8—32no—
137#953—61no—
138C2×#217—61no—
139#946—31no—
140#946—31no—
141#938—31no—
142#938—32no—
143#938—31no—
144#938—32no—
145#938—61no—
146#938—61no—
147#937—61no—
148#935—61no—
149#930—32no—
150#930—31no—
151#930—32no—
152#930—31no—
153#930—61no—
154#930—61no—
155#929—61no—
156C4×#67—61no—
157C4×#67—61no—
158C4×#67—61no—
159C4×#67—61no—
160C2×(C2×D3)⋊C4—61no—
161#926—31no—
162#926—31no—
163#926—61no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—31no—
166C2×C4⋊Dic3—61no—
167#924—31no—
168#924—31no—
169C2×#208C2×D311yescharacteristic
170#908—24no—
171D3×M16—24no—
172C2×D24C2×D312yescomplemented
173C2×#204C2×D312yescomplemented
174C2×ΓL(1,𝔽25)C2×D312yescomplemented
175C2×D3×C8C2×D312yescomplemented
176#835—32no—
177#832—32no—
178#832—32no—
179#832—32no—
180#821—32no—
181#821—32no—
182#821—32no—
183#818—32no—
184#818—32no—
185#818—62no—
186#817—32no—
187#817—32no—
188#817—62no—
189#816—32no—
190C23×C32C2×D411yescharacteristic
191C22×C3×D3—22no—
192C22×C3×D3—22no—
193C22×C3×D3—22no—
194C22×C3×D3—21no—
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
205C2×C3⋊Dic3—21no—
206C2×C3⋊Dic3—21no—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—42no—
209C3×#67—42no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C3×D12—22no—
215C3×D12—21no—
216C3×D12—22no—
217C3×D12—21no—
218C3×D12—42no—
219C3×C4×D3—22no—
220C3×C4×D3—22no—
221C3×C4×D3—21no—
222C3×C4×D3—21no—
223C3×C4×D3—21no—
224C3×C4×D3—21no—
225C3×C4×D3—42no—
226C3×Dic6—21no—
227C3×Dic6—21no—
228#625—42no—
229#625—44no—
230#625—42no—
231#625—44no—
232C32×C8C2×D414yescomplemented
233C3×C3⋊C8—22no—
234C2×AGL(1,ℤ/8)—31no—
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—91no—
244#417—91no—
245C24×C3—31no—
246C24×C3—61no—
247C23×D3—21no—
248C23×D3D1211yescharacteristic
249C3×#41—62no—
250C3×#41—62no—
251C2×C3×Q8—31no—
252C2×C3×D4—31no—
253C2×C3×D4—32no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—62no—
257C2×C3×D4—62no—
258C22×C3×C4—21no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—31no—
264C22×C3×C4—62no—
265C22×C3×C4—62no—
266C22×C3×C4—61no—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C2×#67—21no—
270C2×#67—61no—
271C2×#67—61no—
272C2×#67—62no—
273C2×#67—62no—
274C2×#67—61no—
275C2×#67—61no—
276C2×#67—62no—
277C2×#67—62no—
278C2×#67—124no—
279C2×#67—124no—
280C22×Dic3—61no—
281C22×Dic3—61no—
282C22×Dic3—121no—
283C22×Dic3D1211yescharacteristic
284#235—22no—
285#235—22no—
286C2×D12—22no—
287C2×D12—22no—
288C2×D12—21no—
289C2×D12C22×D312yes—
290C2×D12C22×D311yescharacteristic
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3—21no—
294C2×C4×D3D1211yescharacteristic
295C2×C4×D3D1211yescharacteristic
296C2×C4×D3C22×D311yescharacteristic
297C2×C4×D3C22×D311yescharacteristic
298C2×Dic6C22×D311yescharacteristic
299C3×SD16—64no—
300C3×D8—64no—
301C3×M16—24no—
302C3×M16—62no—
303C3×M16—64no—
304C3×M16#6714yescomplemented
305C3×M16#6714yescomplemented
306C2×C3×C8—22no—
307C2×C3×C8—32no—
308C2×C3×C8—64no—
309C2×C3×C8C22×D312yes—
310C2×C3×C8C22×D312yes—
311#217—61no—
312#217—61no—
313#217—61no—
314#217—61no—
315#217—61no—
316#217—61no—
317#217—62no—
318#217—62no—
319#217—121no—
320(C2×D3)⋊C4—62no—
321(C2×D3)⋊C4—62no—
322(C2×D3)⋊C4—61no—
323(C2×D3)⋊C4—61no—
324(C2×D3)⋊C4—61no—
325(C2×D3)⋊C4—61no—
326C4⋊Dic3—32no—
327C4⋊Dic3—31no—
328C4⋊Dic3—31no—
329C4⋊Dic3—32no—
330C4⋊Dic3—31no—
331C4⋊Dic3—31no—
332C4⋊Dic3—61no—
333C4⋊Dic3—62no—
334C4⋊Dic3—61no—
335C4⋊Dic3—61no—
336C4⋊Dic3—61no—
337C4⋊Dic3—121no—
338Dic3⋊C4—61no—
339Dic3⋊C4—61no—
340Dic3⋊C4—61no—
341Dic3⋊C4—61no—
342C4×Dic3—61no—
343C4×Dic3—61no—
344C4×Dic3—121no—
345#208—22no—
346C2×C3⋊C8C22×D312yes—
347D24—24no—
348#204—24no—
349ΓL(1,𝔽25)—24no—
350D3×C8—24no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32#12112yes—
354C22×C32C22×D411yescharacteristic
355C2×C3×D3—21no—
356C2×C3×D3—21no—
357C2×C3×D3—21no—
358C2×C3×D3—21no—
359C2×C3×D3—21no—
360C2×C3×D3—44no—
361C2×C3×D3—41no—
362C2×C3×D3—42no—
363C2×C3×D3—42no—
364C2×C3×D3—41no—
365C2×C3×D3—41no—
366C2×C3×D3—42no—
367C2×C3×D3—84no—
368C2×C3×D3AGL(1,ℤ/8)12yescomplemented
369C32×C4#12112yes—
370C32×C4C22×D411yescharacteristic
371C32×C4C2×#4111yescharacteristic
372C3⋊Dic3—42no—
373C3⋊Dic3—41no—
374C3⋊Dic3—41no—
375C3×Dic3—21no—
376C3×Dic3—21no—
377C3×Dic3—41no—
378C2×#41—31no—
379C22×D4—31no—
380C22×D4—181no—
381C23×C4—31no—
382AGL(1,ℤ/8)—64no—
383C2×SD16—32no—
384C2×D8—32no—
385C2×M16—31no—
386C2×M16—32no—
387C2×M16—64no—
388C2×M16D3211yescharacteristic
389C22×C8—32no—
390#123—181no—
391C22⋊Q8—91no—
392C22⋊Q8—91no—
393#121—92no—
394#121—92no—
395#121—91no—
396#121—91no—
397#121—181no—
398#121—181no—
399#120—181no—
400C4×D4—181no—
401C4×D4—181no—
402#117—91no—
403C2×C4⋊C4—91no—
404C2×C22⋊C4—181no—
405#107—92no—
406#106—92no—
407#103—92no—
408#102—92no—
409#102—92no—
410#102—92no—
411C23×C3—21no—
412C23×C3—31no—
413C23×C3—31no—
414C23×C3—62no—
415C23×C3—62no—
416C23×C3—61no—
417C23×C3—62no—
418C23×C3—121no—
419C23×C3—122no—
420C23×C3—122no—
421C23×C3—122no—
422C23×C3C2×D1211yescharacteristic
423C23×C3D3×D411yescharacteristic
424C22×D3—22no—
425C22×D3—22no—
426C22×D3—21no—
427C22×D3—22no—
428C22×D3—41no—
429C22×D3—42no—
430C22×D3—42no—
431C22×D3—42no—
432C22×D3C2×D1211yescharacteristic
433C22×D3C2×D1211yescharacteristic
434C3×Q8—61no—
435C3×Q8—61no—
436C3×D4—62no—
437C3×D4—61no—
438C3×D4—61no—
439C3×D4—62no—
440C3×D4—122no—
441C3×D4—122no—
442C2×C3×C4—21no—
443C2×C3×C4—22no—
444C2×C3×C4—21no—
445C2×C3×C4—22no—
446C2×C3×C4—31no—
447C2×C3×C4—31no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—61no—
452C2×C3×C4—61no—
453C2×C3×C4—61no—
454C2×C3×C4—61no—
455C2×C3×C4—61no—
456C2×C3×C4—122no—
457C2×C3×C4C2×D1211yescharacteristic
458C2×C3×C4#23512yes—
459C2×C3×C4D3×D411yescharacteristic
460C2×C3×C4#23712yes—
461C2×C3×C4C2×#6712yes—
462C2×C3×C4C2×#6712yes—
463C2×C3×C4C23×D311yescharacteristic
464C2×C3×C4C23×D311yescharacteristic
465#67—42no—
466#67—122no—
467#67—124no—
468#67—122no—
469#67—124no—
470#67—122no—
471#67—124no—
472#67—122no—
473#67—124no—
474C2×Dic3—22no—
475C2×Dic3—21no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—62no—
479C2×Dic3—61no—
480C2×Dic3—61no—
481C2×Dic3—62no—
482C2×Dic3—121no—
483C2×Dic3—121no—
484C2×Dic3—122no—
485C2×Dic3—122no—
486C2×Dic3—122no—
487C2×Dic3—242no—
488C2×Dic3C2×D1211yescharacteristic
489C2×Dic3C2×D1211yescharacteristic
490D12—22no—
491D12—21no—
492D12—22no—
493D12—21no—
494D12—42no—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—21no—
498C4×D3—21no—
499C4×D3—21no—
500C4×D3—21no—
501C4×D3—42no—
502Dic6—21no—
503Dic6—21no—
504C3×C8—24no—
505C3×C8—62no—
506C3×C8C2×#6714yescomplemented
507C3×C8C2×#6714yescomplemented
508C3⋊C8—22no—
509C2×C32—22no—
510C2×C32C2×#12111yescharacteristic
511C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
512C2×C32#57511yescharacteristic
513C3×D3—22no—
514C3×D3—41no—
515C3×D3—81no—
516C3×D3—82no—
517C24—31no—
518C24—61no—
519#41—62no—
520#41—62no—
521C2×Q8—31no—
522C2×D4—31no—
523C2×D4—32no—
524C2×D4—61no—
525C2×D4—62no—
526C2×D4—61no—
527C2×D4—62no—
528C2×D4—181no—
529C2×D4—181no—
530C2×D4—182no—
531C2×D4—182no—
532C2×D4—364no—
533C22×C4—31no—
534C22×C4—31no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—31no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—61no—
541C22×C4—181no—
542C22×C4C2×D3211yescharacteristic
543SD16—64no—
544D8—64no—
545M16—62no—
546M16—64no—
547M16#62514yescomplemented
548C2×C8—32no—
549C2×C8—64no—
550C2×C8C2×D3212yes—
551C4⋊C4—91no—
552C4⋊C4—91no—
553C4⋊C4—92no—
554C4⋊C4—181no—
555C4⋊C4—181no—
556C4⋊C4—181no—
557C22⋊C4—182no—
558C22⋊C4—182no—
559C22⋊C4—181no—
560C22⋊C4—181no—
561C22⋊C4—181no—
562C22⋊C4—181no—
563C22⋊C4—181no—
564C42—181no—
565C22×C3—21no—
566C22×C3—21no—
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—21no—
570C22×C3—22no—
571C22×C3—32no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—61no—
575C22×C3—61no—
576C22×C3—61no—
577C22×C3—61no—
578C22×C3—61no—
579C22×C3—124no—
580C22×C3—122no—
581C22×C3—121no—
582C22×C3—121no—
583C22×C3—122no—
584C22×C3—121no—
585C22×C3—122no—
586C22×C3—244no—
587C22×C3#93012yes—
588C22×C3#93812yes—
589C22×C3C22×D1211yescharacteristic
590C22×C3C2×D3×D411yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—21no—
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—44no—
597C2×D3—42no—
598C2×D3—41no—
599C2×D3—41no—
600C2×D3—42no—
601C2×D3—41no—
602C2×D3—42no—
603C2×D3—84no—
604C2×D3#90812yescomplemented
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—61no—
609C3×C4—61no—
610C3×C4—121no—
611C3×C4#93012yes—
612C3×C4#93812yes—
613C3×C4C2×#23511yescharacteristic
614C3×C4C2×#23711yescharacteristic
615C3×C4C22×#6711yescharacteristic
616C3×C4C22×#6711yescharacteristic
617Dic3—21no—
618Dic3—21no—
619Dic3—41no—
620Dic3—122no—
621Dic3—121no—
622Dic3—121no—
623Dic3—122no—
624Dic3—121no—
625Dic3—121no—
626Dic3—242no—
627Dic3—241no—
628Dic3—241no—
629C32#305511yescharacteristic, complemented, Sylow
630C23—31no—
631C23—31no—
632C23—62no—
633C23—62no—
634C23—61no—
635C23—62no—
636C23—121no—
637C23—122no—
638C23—122no—
639C23—122no—
640C23D3×D1211yescharacteristic
641Q8—61no—
642Q8—61no—
643D4—62no—
644D4—61no—
645D4—61no—
646D4—62no—
647D4—122no—
648D4—122no—
649D4—364no—
650D4—362no—
651D4—364no—
652D4—362no—
653C2×C4—31no—
654C2×C4—31no—
655C2×C4—62no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—122no—
664C2×C4—181no—
665C2×C4—181no—
666C2×C4—182no—
667C2×C4—362no—
668C2×C4#379512yes—
669C2×C4D3×D1211yescharacteristic
670C2×C4C2×#62512yes—
671C2×C4C22×D3211yescharacteristic
672C8—62no—
673C8C2×#62514yescomplemented
674C2×C3—22no—
675C2×C3—22no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—42no—
680C2×C3—62no—
681C2×C3—121no—
682C2×C3—242no—
683C2×C3—241no—
684C2×C3C2×#90811yescharacteristic
685C2×C3#574811yescharacteristic
686C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
687C2×C3#577311yescharacteristic
688C2×C3C2×#93011yescharacteristic
689C2×C3C2×#93811yescharacteristic
690D3—22no—
691D3—41no—
692D3—82no—
693D3—81no—
694C22—21no—
695C22—21no—
696C22—32no—
697C22—61no—
698C22—61no—
699C22—61no—
700C22—61no—
701C22—61no—
702C22—124no—
703C22—122no—
704C22—121no—
705C22—121no—
706C22—122no—
707C22—121no—
708C22—122no—
709C22—244no—
710C22#6390812yes—
711C22C2×D3×D1211yescharacteristic
712C4—61no—
713C4—61no—
714C4—121no—
715C4—362no—
716C4—361no—
717C4—361no—
718C4#6390812yes—
719C4C2×#379511yescharacteristic
720C4C22×#62511yescharacteristic
721C3—21no—
722C3#8377211yescharacteristic, complemented
723C3#8395011yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—242no—
728C2—241no—
729C2D3×#90811yescharacteristic
730C2#1059471211yescharacteristic
731C2C2×#6390811yescharacteristic
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×#908C2semidirect
2. C2×C3×D3×M16C2semidirect
3. #10595022C2semidirect
4. C2×#63908C2semidirect
5. #10592820C2semidirect
6. #10591088C2semidirect
7. #10591086C2semidirect
8. #10590836C2semidirect
9. #10590833C2semidirect
10. #10590831C2semidirect
11. #10590829C2semidirect
24. C2×C3×D24C22semidirect
25. C2×C3×#204C22semidirect
26. C2×C3×ΓL(1,𝔽25)C22semidirect
27. C2×C3×D3×C8C22semidirect
35. #63908C22semidirect
36. #63908C22semidirect
39. #63856C22semidirect
40. #63856C22semidirect
41. #63645C22semidirect
42. #63644C22semidirect
43. #63566C22semidirect
44. #63563C22semidirect
45. #63563C22semidirect
46. #63563C22semidirect
53. C2×#908D3semidirect
54. C2×D3×M16D3semidirect
96. C32×M16D4semidirect
172. C2×D24C2×D3semidirect
173. C2×#204C2×D3semidirect
174. C2×ΓL(1,𝔽25)C2×D3semidirect
175. C2×D3×C8C2×D3semidirect
232. C32×C8C2×D4semidirect
304. C3×M16#67semidirect
305. C3×M16#67semidirect
368. C2×C3×D3AGL(1,ℤ/8)semidirect
506. C3×C8C2×#67semidirect
507. C3×C8C2×#67semidirect
547. M16#625semidirect
604. C2×D3#908semidirect
629. C32#3055semidirect
673. C8C2×#625semidirect
722. C3#83772semidirect
723. C3#83950semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9082
C2×C3×D3×M162
#105950222
C2×#639082
#105928202
#105910882
#105910862
#105908362
#105908332
#105908312
#105908292
#839503
#837723