Finite Group Databasebeta

← #11867178

Subgroups — #11867178

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
1C3×#5524C211yesmaximal, characteristic, complemented
2C2×#63909C211yesmaximal, characteristic, complemented
3C2×#63825C211yesmaximal, characteristic, complemented
4C2×D3×#208C211yesmaximal, characteristic, complemented
5#10592700C211yesmaximal, characteristic, complemented
6C3×#4995C211yesmaximal, characteristic, complemented
7#10591087C211yesmaximal, characteristic, complemented
8#10590586C212yesmaximal, complemented
9#10590585C212yesmaximal, complemented
10#10590577C212yesmaximal, complemented
11#10590576C212yesmaximal, complemented
12#82924—31nomaximal
13#79211—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#626—21no—
18C32×#117C2211yescharacteristic
19C2×#3748C2211yescharacteristic
20C2×C3×C4⋊Dic3C2211yescharacteristic
21C2×C3×#208C2211yescharacteristic
22C3×#897C2211yescharacteristic, complemented
23C3×#897C2211yescharacteristic, complemented
24C3×#895C2211yescharacteristic, complemented
25C3×#895C2211yescharacteristic, complemented
26C3×#886—21no—
27C3×#882—21no—
28C3×C4×D12—21no—
29C3×C4×D12—21no—
30C2×#3722—21no—
31#63909—21no—
32#63909—21no—
33#63909C2212yes—
34#63909C2212yes—
35C2×#3717C2212yescomplemented
36#63825—24no—
37C2×#3714C2212yescomplemented
38C2×#3711C2212yescomplemented
39D3×#208—24no—
40C2×D3×C3⋊C8C2212yescomplemented
41#63636C2212yescomplemented
42#63636C2212yescomplemented
43C3×#808C2212yescomplemented
44C3×#807C2212yescomplemented
45#63565C2212yescomplemented
46#63562C2212yescomplemented
47C3×#525—31no—
48C2×#949—31no—
49C2×#930—31no—
50C22×#208—31no—
51C2×#908—31no—
52C2×D3×M16—31no—
53#5524D311yescharacteristic, complemented
54C2×#895—31no—
55C3×#428—31no—
56#5232—31no—
57#5049—32no—
58#5048—32no—
59#5039—32no—
60#5038—32no—
61#5001—31no—
62#5001—31no—
63#5001—61no—
64#4995D311yescharacteristic, complemented
65#4966—31no—
66#4886—32no—
67#4883—32no—
68#4865—32no—
69#4864—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×D12—21no—
83C2×C3×D12—21no—
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—21no—
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×C3×C4×D3C2311yescharacteristic
92C2×C3×Dic6C2311yescharacteristic
93C2×#626—22no—
94C2×#626—22no—
95C2×#626—44no—
96C32×C4⋊C4C2311yescharacteristic
97C32×C4⋊C4C2311yescharacteristic
98C32×C22⋊C4—21no—
99C32×C42—21no—
100#3748—22no—
101C2×C3⋊(C3⋊C8)C2312yes—
102C3×(C2×D3)⋊C4—21no—
103C3×(C2×D3)⋊C4—21no—
104C3×(C2×D3)⋊C4—21no—
105C3×(C2×D3)⋊C4—21no—
106C3×C4⋊Dic3—21no—
107C3×C4⋊Dic3—21no—
108C3×C4⋊Dic3—21no—
109C3×C4⋊Dic3C2312yes—
110C3×#208D414yescomplemented
111C2×C3×C3⋊C8C2312yes—
112#3722—22no—
113#3722—22no—
114#3717—24no—
115#3714—24no—
116#3711—24no—
117D3×C3⋊C8—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—31no—
129C3×#123—61no—
130C3×C22⋊Q8—31no—
131C3×C22⋊Q8—31no—
132C3×#121—31no—
133C3×#121—31no—
134C3×#120—61no—
135C3×C4×D4—61no—
136C3×C4×D4—61no—
137C3×#117—21no—
138C3×#117C2×D311yescharacteristic
139C3×#117C2×D311yescharacteristic
140C2×C3×C4⋊C4—31no—
141#949—64no—
142C2×#215—32no—
143C2×#213—32no—
144#930—32no—
145#930—32no—
146#930—61no—
147#930—61no—
148C2×(C2×D3)⋊C4—61no—
149C2×(C2×D3)⋊C4—61no—
150C2×C4⋊Dic3C2×D311yescharacteristic
151C2×#208—31no—
152C2×#208—31no—
153C2×#208—32no—
154C2×#208—61no—
155C2×#208—64no—
156C2×#208C2×D311yescharacteristic
157C22×C3⋊C8—32no—
158#908—64no—
159D3×M16—64no—
160C2×D24—32no—
161C2×#204—32no—
162C2×ΓL(1,𝔽25)—32no—
163C2×D3×C8—32no—
164#897C2×D311yescharacteristic, complemented
165#897C2×D311yescharacteristic, complemented
166#895—32no—
167#895—32no—
168#895—61no—
169#895—61no—
170#895C2×D311yescharacteristic, complemented
171#895C2×D311yescharacteristic, complemented
172#886—21no—
173#882—21no—
174C4×D12—21no—
175C4×D12—21no—
176C3×#107—32no—
177C3×#106—32no—
178#835—32no—
179#832—32no—
180#810—32no—
181#809—32no—
182#809—32no—
183#809—32no—
184#809—32no—
185#809—32no—
186#809—62no—
187#809—62no—
188#808C2×D312yescomplemented
189#807C2×D312yescomplemented
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×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4#4112yes—
206C2×C32×C4C2411yescharacteristic
207C4⋊(C3⋊D3)—22no—
208C4⋊(C3⋊D3)—22no—
209C4⋊(C3⋊D3)—42no—
210C3×#67—42no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—21no—
214C2×C3×Dic3—42no—
215C2×C3×Dic3C2×D411yescharacteristic
216C2×C3×Dic3C2×D411yescharacteristic
217C3×D12—21no—
218C3×D12—21no—
219C3×D12—42no—
220C3×D12—42no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3—21no—
224C3×C4×D3—21no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—42no—
228C3×Dic6—21no—
229C3×Dic6—21no—
230#626—44no—
231#626—44no—
232C3⋊(C3⋊C8)—22no—
233C3×C3⋊C8C2×D414yescomplemented
234C2×AGL(1,ℤ/8)—91no—
235C22×M16—91no—
236#525—31no—
237C2×#121—91no—
238#469—92no—
239#468—92no—
240#466—92no—
241#465—92no—
242#428—31no—
243#418—91no—
244#417—91no—
245C24×C3—31no—
246C23×D3—61no—
247C23×D3—61no—
248C23×D3—121no—
249C23×D3#6711yescharacteristic
250C3×#41—62no—
251C3×#41—62no—
252C2×C3×Q8—31no—
253C2×C3×D4—31no—
254C2×C3×D4—61no—
255C2×C3×D4—61no—
256C2×C3×D4—61no—
257C22×C3×C4—21no—
258C22×C3×C4—31no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—62no—
264C22×C3×C4—62no—
265C22×C3×C4—61no—
266C22×C3×C4—61no—
267C22×C3×C4C22×D311yescharacteristic
268C22×C3×C4C22×D311yescharacteristic
269C2×#67—21no—
270C2×#67—62no—
271C2×#67—62no—
272C2×#67—124no—
273C22×Dic3—21no—
274C22×Dic3#6711yescharacteristic
275#235—22no—
276#235—22no—
277C2×D12—21no—
278C2×D12—21no—
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—122no—
292C2×D12—121no—
293C2×D12—124no—
294C2×D12C22×D311yescharacteristic
295C2×C4×D3—22no—
296C2×C4×D3—22no—
297C2×C4×D3—21no—
298C2×C4×D3#6711yescharacteristic
299C2×C4×D3#6711yescharacteristic
300C2×C4×D3C22×D311yescharacteristic
301C2×C4×D3C22×D311yescharacteristic
302C2×Dic6C22×D311yescharacteristic
303C3×M16—34no—
304C2×C3×C8—32no—
305C3×C4⋊C4—21no—
306C3×C4⋊C4—21no—
307C3×C4⋊C4—32no—
308C3×C4⋊C4—61no—
309C3×C4⋊C4—61no—
310C3×C4⋊C4—61no—
311C3×C4⋊C4C22×D311yescharacteristic
312C3×C4⋊C4C22×D311yescharacteristic
313C3×C4⋊C4C22×D311yescharacteristic
314C3×C4⋊C4C22×D311yescharacteristic
315C3×C22⋊C4—21no—
316C3×C22⋊C4—21no—
317C3×C22⋊C4—41no—
318C3×C22⋊C4—61no—
319C3×C22⋊C4—61no—
320C3×C22⋊C4—61no—
321C3×C22⋊C4—61no—
322C3×C42—21no—
323C3×C42—21no—
324C3×C42—41no—
325#215—64no—
326#213—64no—
327(C2×D3)⋊C4—21no—
328(C2×D3)⋊C4—21no—
329(C2×D3)⋊C4—21no—
330(C2×D3)⋊C4—21no—
331(C2×D3)⋊C4—62no—
332(C2×D3)⋊C4—62no—
333(C2×D3)⋊C4—62no—
334(C2×D3)⋊C4—62no—
335C4⋊Dic3—21no—
336C4⋊Dic3—21no—
337C4⋊Dic3—21no—
338C4⋊Dic3C22×D312yes—
339#208—62no—
340#208—62no—
341#208—64no—
342#208—122no—
343#208D1214yescomplemented
344C2×C3⋊C8—32no—
345C2×C3⋊C8—32no—
346C2×C3⋊C8—62no—
347C2×C3⋊C8—64no—
348C2×C3⋊C8C22×D312yes—
349D24—64no—
350#204—64no—
351ΓL(1,𝔽25)—64no—
352D3×C8—64no—
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—41no—
372C32×C4—41no—
373C32×C4#12112yes—
374C32×C4C22×D411yescharacteristic
375C32×C4C2×#4111yescharacteristic
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—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#117D3211yescharacteristic
405C2×C4⋊C4—31no—
406C2×C22⋊C4—181no—
407#107—32no—
408#106—32no—
409#103—92no—
410#102—92no—
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×C3D3×D411yescharacteristic
421C23×C3C2×#6711yescharacteristic
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×#6711yescharacteristic
439C22×D3C2×#6711yescharacteristic
440C3×Q8—61no—
441C3×Q8—61no—
442C3×D4—61no—
443C3×D4—61no—
444C3×D4—122no—
445C3×D4—122no—
446C3×D4—122no—
447C2×C3×C4—21no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—21no—
455C2×C3×C4—31no—
456C2×C3×C4—31no—
457C2×C3×C4—41no—
458C2×C3×C4—41no—
459C2×C3×C4—62no—
460C2×C3×C4—62no—
461C2×C3×C4—62no—
462C2×C3×C4—61no—
463C2×C3×C4—61no—
464C2×C3×C4—61no—
465C2×C3×C4—61no—
466C2×C3×C4—61no—
467C2×C3×C4—62no—
468C2×C3×C4—122no—
469C2×C3×C4—122no—
470C2×C3×C4C2×D1212yes—
471C2×C3×C4D3×D412yes—
472C2×C3×C4D3×D411yescharacteristic
473C2×C3×C4#23712yes—
474C2×C3×C4#23912yes—
475C2×C3×C4C2×#6711yescharacteristic
476C2×C3×C4C23×D311yescharacteristic
477C2×C3×C4C23×D311yescharacteristic
478#67—42no—
479#67—124no—
480#67—124no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—21no—
484C2×Dic3—42no—
485C2×Dic3C2×#6711yescharacteristic
486C2×Dic3C2×#6711yescharacteristic
487D12—21no—
488D12—21no—
489D12—42no—
490D12—42no—
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—34no—
512C3⋊C8—62no—
513C3⋊C8—62no—
514C3⋊C8—122no—
515C3⋊C8C2×D1214yescomplemented
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—61no—
532C2×D4—61no—
533C2×D4—92no—
534C2×D4—182no—
535C2×D4—182no—
536C2×D4—182no—
537C2×D4—182no—
538C2×D4—181no—
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—34no—
553M16—184no—
554M16—182no—
555C2×C8—32no—
556C2×C8—92no—
557C2×C8—184no—
558C4⋊C4—32no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4C2×D3211yescharacteristic
563C4⋊C4C2×D3211yescharacteristic
564C22⋊C4—21no—
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—61no—
569C22⋊C4—182no—
570C22⋊C4—182no—
571C42—21no—
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#89512yes—
591C22×C3#93912yes—
592C22×C3C2×D3×D411yescharacteristic
593C22×C3C22×#6711yescharacteristic
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#94912yescomplemented
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—22no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—61no—
624C3×C4—61no—
625C3×C4—81no—
626C3×C4—81no—
627C3×C4—121no—
628C3×C4—122no—
629C3×C4#89512yes—
630C3×C4#93912yes—
631C3×C4C22×D1211yescharacteristic
632C3×C4C2×D3×D411yescharacteristic
633C3×C4C2×#23711yescharacteristic
634C3×C4C2×#23911yescharacteristic
635Dic3—21no—
636Dic3—21no—
637Dic3—42no—
638Dic3—41no—
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×#6711yescharacteristic
651Q8—61no—
652Q8—61no—
653D4—61no—
654D4—61no—
655D4—122no—
656D4—122no—
657D4—122no—
658D4—182no—
659D4—182no—
660D4—364no—
661D4—364no—
662D4—362no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
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—62no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4#379612yes—
679C2×C4D3×D1212yes—
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—121no—
692C2×C3—241no—
693C2×C3C2×#89511yescharacteristic
694C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
695C2×C3#577711yescharacteristic
696C2×C3C2×#93911yescharacteristic
697C2×C3C2×#94911yescharacteristic
698C2×C3#582211yescharacteristic
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#6388612yes—
722C22C2×D3×#6711yescharacteristic
723C4—41no—
724C4—41no—
725C4—61no—
726C4—61no—
727C4—121no—
728C4—122no—
729C4#6388612yes—
730C4C2×#379611yescharacteristic
731C4C2×D3×D1211yescharacteristic
732C3—21no—
733C3#7921111yescharacteristic, complemented
734C3#8292411yescharacteristic, complemented
735C2—22no—
736C2—62no—
737C2—121no—
738C2—241no—
739C2—722no—
740C2C2×#6388611yescharacteristic
741C2D3×#94911yescharacteristic
742C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
hypercenter#117D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
1. C3×#5524C2semidirect
2. C2×#63909C2semidirect
3. C2×#63825C2semidirect
4. C2×D3×#208C2semidirect
5. #10592700C2semidirect
6. C3×#4995C2semidirect
7. #10591087C2semidirect
8. #10590586C2semidirect
9. #10590585C2semidirect
10. #10590577C2semidirect
11. #10590576C2semidirect
22. C3×#897C22semidirect
23. C3×#897C22semidirect
24. C3×#895C22semidirect
25. C3×#895C22semidirect
35. C2×#3717C22semidirect
37. C2×#3714C22semidirect
38. C2×#3711C22semidirect
40. C2×D3×C3⋊C8C22semidirect
41. #63636C22semidirect
42. #63636C22semidirect
43. C3×#808C22semidirect
44. C3×#807C22semidirect
45. #63565C22semidirect
46. #63562C22semidirect
53. #5524D3semidirect
64. #4995D3semidirect
110. C3×#208D4semidirect
164. #897C2×D3semidirect
165. #897C2×D3semidirect
170. #895C2×D3semidirect
171. #895C2×D3semidirect
188. #808C2×D3semidirect
189. #807C2×D3semidirect
233. C3×C3⋊C8C2×D4semidirect
343. #208D12semidirect
370. C2×C3×D3AGL(1,ℤ/8)semidirect
515. C3⋊C8C2×D12semidirect
615. C2×D3#949semidirect
639. C32#3055semidirect
733. C3#79211semidirect
734. C3#82924semidirect

Maximal subgroups

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

subgroupindex
C3×#55242
C2×#639092
C2×#638252
C2×D3×#2082
#105927002
C3×#49952
#105910872
#105905862
#105905852
#105905772
#105905762
#829243
#792113