Finite Group Databasebeta

← #11867173

Subgroups — #11867173

Order 1152.

1191 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#10595022C211yesmaximal, characteristic, complemented
3C2×#63909C211yesmaximal, characteristic, complemented
4C2×#63825C211yesmaximal, characteristic, complemented
5#10592830C211yesmaximal, characteristic, complemented
6C3×#5133C211yesmaximal, characteristic, complemented
7#10591130C211yesmaximal, characteristic, complemented
8#10590850C212yesmaximal, complemented
9#10590847C212yesmaximal, complemented
10#10590827C212yesmaximal, complemented
11#10590826C212yesmaximal, complemented
12#83772—31nomaximal
13#78888—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#626—21no—
18C2×C32×M16C2211yescharacteristic
19#64135C2211yescharacteristic
20C2×C3×C4⋊Dic3C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×D3×M16—24no—
23C2×C3×ΓL(1,𝔽25)C2212yescomplemented
24C2×C3×D3×C8C2212yescomplemented
25#63976—21no—
26C2×#3722—21no—
27#63961—21no—
28#63909—21no—
29#63909—21no—
30#63909C2212yes—
31#63909C2212yes—
32#63908C2211yescharacteristic, complemented
33#63908C2211yescharacteristic, complemented
34C4×#625—21no—
35C4×#625—21no—
36#63856C2211yescharacteristic, complemented
37#63856C2211yescharacteristic, complemented
38C2×#3717C2212yescomplemented
39#63825—24no—
40C2×#3714C2212yescomplemented
41#63648C2212yescomplemented
42#63648C2212yescomplemented
43C3×#821C2212yescomplemented
44C3×#816C2212yescomplemented
45#63575C2212yescomplemented
46#63573C2212yescomplemented
47C22×C3×M16—31no—
48#5828—31no—
49C2×#949—31no—
50#5791—31no—
51C2×#930—31no—
52C2×#908—31no—
53C2×D3×M16D311yescharacteristic, complemented
54C2×#895—31no—
55C3×#417—31no—
56#5135—32no—
57#5134—32no—
58#5133D311yescharacteristic, complemented
59#5131—31no—
60#5131—31no—
61#5131—61no—
62#5121—31no—
63#5115—32no—
64#5114—32no—
65#4964—31no—
66#4812—32no—
67#4807—32no—
68#4782—32no—
69#4775—32no—
70C23×C3⋊D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C2×C4⋊(C3⋊D3)—22no—
74C2×C4⋊(C3⋊D3)—22no—
75C2×C4⋊(C3⋊D3)—21no—
76C2×C4⋊(C3⋊D3)C2312yes—
77C2×C3×#67—21no—
78C22×C3×Dic3—21no—
79C22×C3×Dic3D411yescharacteristic
80C3×#235—22no—
81C3×#235—22no—
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×#626—22no—
92C2×#626—22no—
93C2×#626—44no—
94C2×#625—21no—
95C2×#625—21no—
96C32×M16—22no—
97C2×C32×C8C2312yes—
98#3757—21no—
99C4⋊(C3⋊Dic3)C2311yescharacteristic
100C4⋊(C3⋊Dic3)C2311yescharacteristic
101C4×C3⋊Dic3—21no—
102C3×C4⋊Dic3—21no—
103C3×C4⋊Dic3C2312yes—
104C3×#208D414yescomplemented
105C2×C3×C3⋊C8C2312yes—
106C3×ΓL(1,𝔽25)—24no—
107C3×D3×C8—24no—
108#3724—21no—
109#3724—21no—
110#3722—22no—
111#3722—22no—
112(C2×D3)⋊Dic3—21no—
113(C2×D3)⋊Dic3—21no—
114(C2×D3)⋊Dic3—21no—
115(C2×D3)⋊Dic3—21no—
116#3717—24no—
117#3714—24no—
118#3055—91noSylow
119C2×C3×#41—31no—
120C23×C3×C4—31no—
121C22×#67—61no—
122C2×#235C2×D311yescharacteristic
123C22×D12—31no—
124C22×D12—31no—
125C22×D12—61no—
126C22×D12—61no—
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—
135C2×C3×C4⋊C4—31no—
136#953—61no—
137#949—64no—
138#946—31no—
139#946—31no—
140C2×#215—32no—
141#938—31no—
142#938—31no—
143#937—61no—
144#935—61no—
145C2×#213—32no—
146#930—31no—
147#930—31no—
148#930—32no—
149#930—32no—
150#930—61no—
151#930—61no—
152#929—61no—
153C4×#67—61no—
154C4×#67—61no—
155C4×#67—61no—
156C4×#67—61no—
157C2×(C2×D3)⋊C4—61no—
158C2×(C2×D3)⋊C4—61no—
159#926—31no—
160#926—31no—
161#926—61no—
162C2×C4⋊Dic3C2×D311yescharacteristic
163#924—31no—
164#924—31no—
165C2×#208C2×D311yescharacteristic
166#908—64no—
167D3×M16—24no—
168C2×D24—32no—
169C2×#204—32no—
170C2×ΓL(1,𝔽25)C2×D312yescomplemented
171C2×D3×C8C2×D312yescomplemented
172#895—32no—
173#895—32no—
174#895—61no—
175#895—61no—
176C3×#103—32no—
177C3×#102—32no—
178#821—32no—
179#821—32no—
180#821—32no—
181#821—32no—
182#821—62no—
183#821—62no—
184#821C2×D312yescomplemented
185#818—32no—
186#817—32no—
187#816C2×D312yescomplemented
188#808—32no—
189#807—32no—
190C23×C32C2×D411yescharacteristic
191C22×C3⋊D3—22no—
192C22×C3⋊D3—42no—
193C22×C3⋊D3—42no—
194C22×C3⋊D3—42no—
195C22×C3×D3—22no—
196C22×C3×D3—22no—
197C22×C3×D3—21no—
198C22×C3×D3—41no—
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—
207C4⋊(C3⋊D3)—22no—
208C4⋊(C3⋊D3)—22no—
209C4⋊(C3⋊D3)—42no—
210C3×#67—42no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—42no—
215C2×C3×Dic3C2×D411yescharacteristic
216C2×C3×Dic3C2×D411yescharacteristic
217C3×D12—21no—
218C3×D12—21no—
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#626—44no—
229#626—44no—
230#625—42no—
231#625—42no—
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—91no—
244#417—31no—
245C24×C3—31no—
246C23×D3—61no—
247C23×D3—61no—
248C23×D3—121no—
249C23×D3D1211yescharacteristic
250C3×#41—62no—
251C3×#41—62no—
252C2×C3×Q8—31no—
253C2×C3×D4—31no—
254C2×C3×D4—61no—
255C22×C3×C4—21no—
256C22×C3×C4—31no—
257C22×C3×C4—31no—
258C22×C3×C4—31no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—62no—
262C22×C3×C4—62no—
263C22×C3×C4—61no—
264C22×C3×C4—61no—
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C2×#67—21no—
268C2×#67—62no—
269C2×#67—62no—
270C2×#67—61no—
271C2×#67—61no—
272C2×#67—61no—
273C2×#67—61no—
274C2×#67—124no—
275C22×Dic3—21no—
276C22×Dic3D1211yescharacteristic
277#235—22no—
278#235—22no—
279C2×D12—32no—
280C2×D12—32no—
281C2×D12—62no—
282C2×D12—64no—
283C2×D12—62no—
284C2×D12—62no—
285C2×D12—62no—
286C2×D12—62no—
287C2×D12—62no—
288C2×D12—62no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—121no—
292C2×D12—122no—
293C2×D12—124no—
294C2×D12C22×D311yescharacteristic
295C2×C4×D3—22no—
296C2×C4×D3—22no—
297C2×C4×D3—21no—
298C2×C4×D3D1211yescharacteristic
299C2×C4×D3D1211yescharacteristic
300C2×C4×D3C22×D311yescharacteristic
301C2×C4×D3C22×D311yescharacteristic
302C2×Dic6C22×D311yescharacteristic
303C3×M16—22no—
304C3×M16—22no—
305C3×M16—34no—
306C3×M16—42no—
307C3×M16—64no—
308C2×C3×C8—22no—
309C2×C3×C8—32no—
310C2×C3×C8—64no—
311C2×C3×C8C22×D312yes—
312C2×C3×C8C22×D312yes—
313C3×C4⋊C4—32no—
314C3×C4⋊C4—61no—
315#217—61no—
316#217—61no—
317#217—61no—
318#217—61no—
319#217—61no—
320#217—61no—
321#217—121no—
322#215—64no—
323#213—64no—
324(C2×D3)⋊C4—62no—
325(C2×D3)⋊C4—62no—
326(C2×D3)⋊C4—61no—
327(C2×D3)⋊C4—61no—
328(C2×D3)⋊C4—61no—
329(C2×D3)⋊C4—61no—
330(C2×D3)⋊C4—62no—
331(C2×D3)⋊C4—62no—
332C4⋊Dic3—21no—
333C4⋊Dic3—31no—
334C4⋊Dic3—31no—
335C4⋊Dic3—31no—
336C4⋊Dic3—31no—
337C4⋊Dic3—61no—
338C4⋊Dic3—61no—
339C4⋊Dic3C22×D312yes—
340Dic3⋊C4—61no—
341Dic3⋊C4—61no—
342Dic3⋊C4—61no—
343Dic3⋊C4—61no—
344C4×Dic3—61no—
345C4×Dic3—61no—
346C4×Dic3—121no—
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—42no—
358C2×C3⋊D3—42no—
359C2×C3⋊D3—42no—
360C2×C3⋊D3—84no—
361C2×C3×D3—21no—
362C2×C3×D3—21no—
363C2×C3×D3—21no—
364C2×C3×D3—21no—
365C2×C3×D3—21no—
366C2×C3×D3—44no—
367C2×C3×D3—41no—
368C2×C3×D3—41no—
369C2×C3×D3—41no—
370C2×C3×D3AGL(1,ℤ/8)12yescomplemented
371C32×C4#12112yes—
372C32×C4C22×D411yescharacteristic
373C32×C4C2×#4111yescharacteristic
374C3⋊Dic3—41no—
375C3⋊Dic3—41no—
376C3×Dic3—21no—
377C3×Dic3—21no—
378C3×Dic3—41no—
379C3×Dic3—42no—
380C2×#41—31no—
381C22×D4—91no—
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—92no—
396#121—92no—
397#121—91no—
398#121—91no—
399#121—181no—
400#121—181no—
401#120—181no—
402C4×D4—181no—
403C4×D4—181no—
404#117—91no—
405C2×C4⋊C4—31no—
406C2×C22⋊C4—181no—
407#107—92no—
408#106—92no—
409#103—32no—
410#102—32no—
411#102—92no—
412#102—92no—
413C23×C3—21no—
414C23×C3—31no—
415C23×C3—31no—
416C23×C3—62no—
417C23×C3—62no—
418C23×C3—61no—
419C23×C3—121no—
420C23×C3C2×D1211yescharacteristic
421C23×C3D3×D411yescharacteristic
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—21no—
425C22×D3—41no—
426C22×D3—62no—
427C22×D3—62no—
428C22×D3—122no—
429C22×D3—124no—
430C22×D3—122no—
431C22×D3—122no—
432C22×D3—122no—
433C22×D3—122no—
434C22×D3—122no—
435C22×D3—122no—
436C22×D3—242no—
437C22×D3—242no—
438C22×D3C2×D1211yescharacteristic
439C22×D3C2×D1211yescharacteristic
440C3×Q8—61no—
441C3×Q8—61no—
442C3×D4—61no—
443C3×D4—61no—
444C3×D4—122no—
445C2×C3×C4—21no—
446C2×C3×C4—22no—
447C2×C3×C4—21no—
448C2×C3×C4—22no—
449C2×C3×C4—31no—
450C2×C3×C4—31no—
451C2×C3×C4—62no—
452C2×C3×C4—62no—
453C2×C3×C4—62no—
454C2×C3×C4—61no—
455C2×C3×C4—61no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—62no—
460C2×C3×C4—122no—
461C2×C3×C4—122no—
462C2×C3×C4C2×D1211yescharacteristic
463C2×C3×C4#23512yes—
464C2×C3×C4#23512yes—
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4D3×D412yes—
467C2×C3×C4C2×#6712yes—
468C2×C3×C4C23×D311yescharacteristic
469C2×C3×C4C23×D311yescharacteristic
470#67—42no—
471#67—124no—
472#67—124no—
473#67—122no—
474#67—122no—
475#67—122no—
476#67—122no—
477C2×Dic3—22no—
478C2×Dic3—21no—
479C2×Dic3—22no—
480C2×Dic3—42no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—121no—
486C2×Dic3—121no—
487C2×Dic3C2×D1211yescharacteristic
488C2×Dic3C2×D1211yescharacteristic
489D12—21no—
490D12—21no—
491D12—64no—
492D12—62no—
493D12—62no—
494D12—62no—
495D12—62no—
496D12—122no—
497D12—124no—
498D12—124no—
499D12—124no—
500D12—122no—
501D12—122no—
502C4×D3—22no—
503C4×D3—22no—
504C4×D3—21no—
505C4×D3—21no—
506C4×D3—21no—
507C4×D3—21no—
508C4×D3—42no—
509Dic6—21no—
510Dic6—21no—
511C3×C8—22no—
512C3×C8—22no—
513C3×C8—34no—
514C3×C8—42no—
515C3⋊C8C2×#6714yescomplemented
516C2×C32—22no—
517C2×C32C2×#12111yescharacteristic
518C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
519C2×C32#57511yescharacteristic
520C3⋊D3—82no—
521C3×D3—22no—
522C3×D3—41no—
523C3×D3—81no—
524C24—31no—
525C24—181no—
526#41—62no—
527#41—62no—
528C2×Q8—31no—
529C2×D4—31no—
530C2×D4—61no—
531C2×D4—92no—
532C2×D4—182no—
533C2×D4—182no—
534C2×D4—181no—
535C2×D4—181no—
536C2×D4—182no—
537C2×D4—181no—
538C2×D4—182no—
539C2×D4—364no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—31no—
545C22×C4—62no—
546C22×C4—62no—
547C22×C4—61no—
548C22×C4—61no—
549C22×C4C2×D3211yescharacteristic
550SD16—184no—
551D8—184no—
552M16—22no—
553M16—34no—
554M16—64no—
555C2×C8—32no—
556C2×C8—64no—
557C2×C8C2×D3212yes—
558C4⋊C4—32no—
559C4⋊C4—61no—
560C4⋊C4—91no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4—181no—
564C22⋊C4—182no—
565C22⋊C4—182no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C22⋊C4—181no—
571C42—181no—
572C22×C3—21no—
573C22×C3—21no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—22no—
578C22×C3—32no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3—61no—
584C22×C3—61no—
585C22×C3—61no—
586C22×C3—124no—
587C22×C3—121no—
588C22×C3—121no—
589C22×C3—121no—
590C22×C3#88412yes—
591C22×C3#93012yes—
592C22×C3C22×D1211yescharacteristic
593C22×C3C2×D3×D411yescharacteristic
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—21no—
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—44no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—124no—
604C2×D3—122no—
605C2×D3—122no—
606C2×D3—122no—
607C2×D3—122no—
608C2×D3—122no—
609C2×D3—122no—
610C2×D3—242no—
611C2×D3—242no—
612C2×D3—244no—
613C2×D3—244no—
614C2×D3—248no—
615C2×D3#90812yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—122no—
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—42no—
633Dic3—121no—
634Dic3—121no—
635Dic3—121no—
636Dic3—121no—
637Dic3—241no—
638Dic3—241no—
639C32#305511yescharacteristic, complemented, Sylow
640C23—31no—
641C23—31no—
642C23—62no—
643C23—62no—
644C23—61no—
645C23—121no—
646C23—182no—
647C23—362no—
648C23—362no—
649C23—362no—
650C23D3×D1211yescharacteristic
651Q8—61no—
652Q8—61no—
653D4—61no—
654D4—61no—
655D4—122no—
656D4—182no—
657D4—182no—
658D4—364no—
659D4—364no—
660D4—362no—
661D4—362no—
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—62no—
673C2×C4—61no—
674C2×C4—122no—
675C2×C4—122no—
676C2×C4—181no—
677C2×C4—181no—
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—241no—
693C2×C3C2×#88411yescharacteristic
694C2×C3C2×#90811yescharacteristic
695C2×C3#574811yescharacteristic
696C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
697C2×C3#577711yescharacteristic
698C2×C3C2×#93011yescharacteristic
699D3—22no—
700D3—41no—
701D3—81no—
702D3—244no—
703D3—242no—
704D3—242no—
705C22—21no—
706C22—21no—
707C22—32no—
708C22—61no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—124no—
714C22—121no—
715C22—121no—
716C22—121no—
717C22—362no—
718C22—362no—
719C22—362no—
720C22—724no—
721C22#6390612yes—
722C22C2×D3×D1211yescharacteristic
723C4—61no—
724C4—61no—
725C4—122no—
726C4—121no—
727C4—361no—
728C4—361no—
729C4#6390612yes—
730C4C2×#379811yescharacteristic
731C4C2×D3×#6711yescharacteristic
732C3—21no—
733C3#7888811yescharacteristic, complemented
734C3#8377211yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—121no—
738C2—241no—
739C2—722no—
740C2D3×#90811yescharacteristic
741C2#1059471111yescharacteristic
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. #10595022C2semidirect
3. C2×#63909C2semidirect
4. C2×#63825C2semidirect
5. #10592830C2semidirect
6. C3×#5133C2semidirect
7. #10591130C2semidirect
8. #10590850C2semidirect
9. #10590847C2semidirect
10. #10590827C2semidirect
11. #10590826C2semidirect
23. C2×C3×ΓL(1,𝔽25)C22semidirect
24. C2×C3×D3×C8C22semidirect
32. #63908C22semidirect
33. #63908C22semidirect
36. #63856C22semidirect
37. #63856C22semidirect
38. C2×#3717C22semidirect
40. C2×#3714C22semidirect
41. #63648C22semidirect
42. #63648C22semidirect
43. C3×#821C22semidirect
44. C3×#816C22semidirect
45. #63575C22semidirect
46. #63573C22semidirect
53. C2×D3×M16D3semidirect
58. #5133D3semidirect
104. C3×#208D4semidirect
170. C2×ΓL(1,𝔽25)C2×D3semidirect
171. C2×D3×C8C2×D3semidirect
184. #821C2×D3semidirect
187. #816C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
347. #208#67semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
515. C3⋊C8C2×#67semidirect
615. C2×D3#908semidirect
639. C32#3055semidirect
733. C3#78888semidirect
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
#105950222
C2×#639092
C2×#638252
#105928302
C3×#51332
#105911302
#105908502
#105908472
#105908272
#105908262
#837723
#788883