Finite Group Databasebeta

← #11858033

Subgroups — #11858033

Order 1152.

1635 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2#10594986C211yesmaximal, characteristic, complemented
3C2×#63815C211yesmaximal, characteristic, complemented
4#10592932C211yesmaximal, characteristic, complemented
5C3×#5232C211yesmaximal, characteristic, complemented
6#10591556C212yesmaximal, complemented
7#10591550C212yesmaximal, complemented
8#10591421C212yesmaximal, complemented
9D3×#832C212yesmaximal, complemented
10#10591086C211yesmaximal, characteristic, complemented
11C2×#63562C211yesmaximal, characteristic, complemented
12#84099—31nomaximal
13#78882—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009—24no—
16C3×#1009C418yescomplemented
17C2×C3×#239C2212yes—
18C2×C3×D3×D4—22no—
19C2×C3×D3×D4C2212yes—
20C2×C3×#235—21no—
21C2×C3×#235C2211yescharacteristic
22C22×C3×D12—21no—
23C22×C3×D12C2211yescharacteristic
24#64135C2211yescharacteristic, complemented
25C22×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
26C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
27C2×C3×#208C2211yescharacteristic, complemented
28Dic3×#67—22no—
29#63898—21no—
30D3×C4⋊Dic3C2212yescomplemented
31#63843—21no—
32#63841C2212yescomplemented
33C2×#3711C2212yescomplemented
34#63815—24no—
35C2×D3×C3⋊C8C2212yescomplemented
36#63662C2211yescharacteristic, complemented
37#63662C2211yescharacteristic, complemented
38#63659C2211yescharacteristic, complemented
39#63659C2211yescharacteristic, complemented
40C3×#835C2212yescomplemented
41C3×#832C2212yescomplemented
42#63563C2212yescomplemented
43#63563C2212yescomplemented
44#63562C2212yescomplemented
45#63562C2212yescomplemented
46C2×C3×H(5,𝔽2)—31no—
47C2×#1009D311yescharacteristic
48#5827—31no—
49C2×#948—31no—
50C2×#907—31no—
51#5504—31no—
52C3×#417—31no—
53#5233—31no—
54#5233—31no—
55#5233—32no—
56#5233—61no—
57#5232—32no—
58#5232D311yescharacteristic, complemented
59#5215—31no—
60#5215—32no—
61C2×#832—31no—
62C2×#832—32no—
63#5131—31no—
64C2×#809—31no—
65#4804—32no—
66#4803—32no—
67#4770—32no—
68D3×#102—32no—
69C23×C3×D3—21no—
70C23×C3×D3—22no—
71C32×#41—22no—
72C32×#41C2×C414yescomplemented
73C2×C32×Q8C2311yescharacteristic
74C2×C32×D4—21no—
75C2×C32×D4C2311yescharacteristic
76C22×C32×C4—21no—
77C22×C32×C4C2311yescharacteristic
78C2×C3×#67—22no—
79C2×C3×#67D412yes—
80C22×C3×Dic3—21no—
81C3×#239—24no—
82C3×#239C2×C418yescomplemented
83C3×D3×D4—216no—
84C3×D3×D4—24no—
85C3×D3×D4C2×C418yescomplemented
86C3×#235—28no—
87C3×#235C2×C414yes—
88C3×#235D414yes—
89C2×C3×D12—22no—
90C2×C3×D12—21no—
91C2×C3×D12—22no—
92C2×C3×D12—28no—
93C2×C3×D12C2×C414yescomplemented
94C2×C3×D12D411yescharacteristic
95C2×C3×D12C2312yes—
96C2×C3×C4×D3—22no—
97C2×C3×C4×D3C2312yes—
98C2×C3×Dic6D411yescharacteristic
99C2×D3×Dic3—22no—
100#3757—21no—
101C4⋊(C3⋊Dic3)C2311yescharacteristic
102C4⋊(C3⋊Dic3)C2311yescharacteristic
103C4×C3⋊Dic3—21no—
104C2×C3⋊(C3⋊C8)—22no—
105C2×C3⋊(C3⋊C8)C2311yescharacteristic
106C2×C3⋊(C3⋊C8)C2311yescharacteristic
107C3×C4⋊Dic3—21no—
108C3×C4⋊Dic3C2312yes—
109C3×#208—22no—
110C2×C3×C3⋊C8C2312yes—
111Dic3⋊Dic3—22no—
112(C2×D3)⋊Dic3—22no—
113Dic32—22no—
114#3711—24no—
115D3×C3⋊C8—24no—
116#2897—91noSylow
117C3×H(5,𝔽2)—38no—
118C3×H(5,𝔽2)—64no—
119C2×C3×#41—21no—
120C2×C3×#41—31no—
121C2×C3×#41—32no—
122C2×C3×#41—61no—
123C2×C3×#41C2×D311yescharacteristic
124C2×C3×#41C2×D311yescharacteristic
125C22×C3×D4—32no—
126C22×C3×D4—31no—
127C22×C3×D4—61no—
128C22×C3×D4—62no—
129#1009—24no—
130#1009Dic318yescomplemented
131C2×#239C2×D312yes—
132C2×D3×D4—22no—
133C2×D3×D4C2×D312yes—
134C2×#235—21no—
135C2×#235C2×D311yescharacteristic
136C22×D12—21no—
137C22×D12C2×D311yescharacteristic
138C2×C3×M16—31no—
139C2×C3×C4⋊C4—31no—
140#948—64no—
141Q8×Dic3—61no—
142D4×Dic3—61no—
143D4×Dic3—62no—
144C4×#67—62no—
145#926—31no—
146#926—31no—
147#926—32no—
148#926—61no—
149C2×C4⋊Dic3—32no—
150C2×C4⋊Dic3C2×D311yescharacteristic, complemented
151C2×#208—32no—
152C2×#208C2×D311yescharacteristic, complemented
153C22×C3⋊C8—31no—
154C22×C3⋊C8—31no—
155C22×C3⋊C8—32no—
156C22×C3⋊C8—61no—
157#907—64no—
158C2×ΓL(1,𝔽25)—32no—
159C2×D3×C8—32no—
160#893—61no—
161#892—32no—
162D3×C4⋊C4—32no—
163#887—61no—
164C3×#103—32no—
165C3×#102—32no—
166#835—31no—
167#835—31no—
168#835—31no—
169#835—31no—
170#835—61no—
171#835—61no—
172#835C2×D312yescomplemented
173#832—31no—
174#832—31no—
175#832—31no—
176#832—31no—
177#832—32no—
178#832—32no—
179#832—32no—
180#832—32no—
181#832—61no—
182#832—61no—
183#832C2×D312yescomplemented
184#821—32no—
185#821—32no—
186#809—32no—
187#809—32no—
188C23×C32—21no—
189C23×C32C2×D411yescharacteristic
190C22×C3×D3—22no—
191C22×C3×D3—24no—
192C22×C3×D3—28no—
193C22×C3×D3—82no—
194C22×C3×D3—82no—
195C22×C3×D3—81no—
196C22×C3×D3—81no—
197C22×C3×D3C2×D412yes—
198C32×Q8—21no—
199C32×Q8C22×C412yes—
200C32×D4—24no—
201C32×D4—21no—
202C32×D4C22×C412yes—
203C2×C32×C4—21no—
204C2×C32×C4—24no—
205C2×C32×C4C22×C412yes—
206C2×C32×C4C2×D411yescharacteristic
207C2×C32×C4C2×D412yes—
208C2×C32×C4C2411yescharacteristic
209C2×C3⋊Dic3—21no—
210C2×C3⋊Dic3—21no—
211C3×#67—28no—
212C3×#67C22⋊C418yes—
213C2×C3×Dic3—22no—
214C2×C3×Dic3—81no—
215C2×C3×Dic3C2×D412yes—
216C3×D12—28no—
217C3×D12—24no—
218C3×D12—22no—
219C3×D12C22⋊C414yes—
220C3×D12C22×C414yes—
221C3×C4×D3—28no—
222C3×C4×D3C22×C414yes—
223C3×C4×D3C2×D414yes—
224C3×Dic6C22⋊C414yes—
225D3×Dic3—82no—
226C3⋊(C3⋊C8)—21no—
227C3⋊(C3⋊C8)—21no—
228C3×C3⋊C8—22no—
229C2×H(5,𝔽2)—31no—
230C2×#131—91no—
231#520—91no—
232#418—92no—
233#418—91no—
234#417—31no—
235#417—92no—
236#416—92no—
237#416—91no—
238C2×#102—92no—
239C2×#102—91no—
240C24×C3—62no—
241C24×C3—61no—
242C23×D3—21no—
243C23×D3—22no—
244C3×#41—22no—
245C3×#41—22no—
246C3×#41—24no—
247C3×#41—34no—
248C3×#41—34no—
249C3×#41—38no—
250C3×#41—42no—
251C3×#41—68no—
252C3×#41—64no—
253C3×#41C4×D314yescomplemented
254C3×#41C2×Dic314yescomplemented
255C2×C3×Q8—21no—
256C2×C3×Q8—31no—
257C2×C3×Q8C22×D311yescharacteristic
258C2×C3×Q8C22×D311yescharacteristic
259C2×C3×D4—21no—
260C2×C3×D4—21no—
261C2×C3×D4—21no—
262C2×C3×D4—32no—
263C2×C3×D4—38no—
264C2×C3×D4—34no—
265C2×C3×D4—31no—
266C2×C3×D4—32no—
267C2×C3×D4—41no—
268C2×C3×D4—68no—
269C2×C3×D4—62no—
270C2×C3×D4—64no—
271C2×C3×D4—62no—
272C2×C3×D4—616no—
273C2×C3×D4—61no—
274C2×C3×D4—62no—
275C2×C3×D4C22×D311yescharacteristic
276C2×C3×D4C22×D311yescharacteristic
277C22×C3×C4—21no—
278C22×C3×C4—21no—
279C22×C3×C4—21no—
280C22×C3×C4—32no—
281C22×C3×C4—41no—
282C22×C3×C4—62no—
283C22×C3×C4—61no—
284C22×C3×C4C22×D311yescharacteristic
285C22×C3×C4C22×D311yescharacteristic
286C2×#67—22no—
287C2×#67#6712yes—
288C22×Dic3—21no—
289C22×Dic3—62no—
290#239—24no—
291#239C2×Dic318yescomplemented
292D3×D4—216no—
293D3×D4—24no—
294D3×D4C2×Dic318yescomplemented
295#235—28no—
296#235C2×Dic314yes—
297#235#6714yes—
298C2×D12—22no—
299C2×D12—21no—
300C2×D12—22no—
301C2×D12—28no—
302C2×D12C2×Dic314yescomplemented
303C2×D12#6711yescharacteristic
304C2×D12C22×D312yes—
305C2×C4×D3—22no—
306C2×C4×D3—62no—
307C2×C4×D3C22×D312yes—
308C2×Dic6#6711yescharacteristic
309C3×M16—62no—
310C2×C3×C8—32no—
311C3×C4⋊C4—32no—
312C3×C4⋊C4—61no—
313#217—62no—
314#217—61no—
315#217—61no—
316#217—121no—
317(C2×D3)⋊C4—62no—
318C4⋊Dic3—21no—
319C4⋊Dic3—31no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—61no—
324C4⋊Dic3—61no—
325C4⋊Dic3—62no—
326C4⋊Dic3C22×D312yes—
327Dic3⋊C4—62no—
328C4×Dic3—62no—
329C4×Dic3—61no—
330C4×Dic3—61no—
331C4×Dic3—62no—
332C4×Dic3—121no—
333#208—22no—
334#208—64no—
335C2×C3⋊C8—31no—
336C2×C3⋊C8—31no—
337C2×C3⋊C8—31no—
338C2×C3⋊C8—31no—
339C2×C3⋊C8—61no—
340C2×C3⋊C8—61no—
341C2×C3⋊C8—64no—
342C2×C3⋊C8—62no—
343C2×C3⋊C8—62no—
344C2×C3⋊C8—122no—
345C2×C3⋊C8C22×D312yes—
346ΓL(1,𝔽25)—64no—
347D3×C8—64no—
348C22×C32—21no—
349C22×C32—21no—
350C22×C32—22no—
351C22×C32—41no—
352C22×C32—41no—
353C22×C32C2×C22⋊C412yes—
354C22×C32C22×D411yescharacteristic
355C2×C3×D3—22no—
356C2×C3×D3—22no—
357C2×C3×D3—24no—
358C2×C3×D3—42no—
359C2×C3×D3—42no—
360C2×C3×D3—88no—
361C2×C3×D3—84no—
362C2×C3×D3C2×C22⋊C414yes—
363C32×C4—22no—
364C32×C4C2×C22⋊C412yes—
365C32×C4C23×C411yescharacteristic
366C32×C4C22×D411yescharacteristic
367C3⋊Dic3—41no—
368C3⋊Dic3—41no—
369C3×Dic3—42no—
370C3×Dic3C2×C22⋊C414yes—
371H(5,𝔽2)—38no—
372H(5,𝔽2)—64no—
373C2×#41—31no—
374C2×#41—32no—
375C2×#41—61no—
376C2×#41D3211yescharacteristic
377C22×D4—32no—
378C22×D4—31no—
379C22×D4—61no—
380C22×D4—62no—
381#131—184no—
382C2×M16—31no—
383C2×M16—92no—
384C22×C8—92no—
385C22×C8—91no—
386C4×Q8—181no—
387C4×D4—181no—
388C4×D4—182no—
389#117—92no—
390#117—91no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—92no—
393#103—32no—
394#103—91no—
395#103—91no—
396#102—32no—
397#102—92no—
398#102—92no—
399#102—92no—
400#102—92no—
401#102—91no—
402#102—91no—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—21no—
406C23×C3—32no—
407C23×C3—41no—
408C23×C3—68no—
409C23×C3—62no—
410C23×C3—64no—
411C23×C3—241no—
412C23×C3—241no—
413C23×C3—242no—
414C23×C3—242no—
415C23×C3D3×D411yescharacteristic
416C23×C3C2×#6711yescharacteristic
417C22×D3—22no—
418C22×D3—24no—
419C22×D3—28no—
420C22×D3—82no—
421C22×D3—82no—
422C22×D3—81no—
423C22×D3—81no—
424C22×D3C2×#6712yes—
425C3×Q8—21no—
426C3×Q8—21no—
427C3×Q8—22no—
428C3×Q8—34no—
429C3×Q8—41no—
430C3×Q8C2×C4×D312yes—
431C3×Q8C22×Dic312yes—
432C3×D4—24no—
433C3×D4—24no—
434C3×D4—21no—
435C3×D4—21no—
436C3×D4—22no—
437C3×D4—38no—
438C3×D4—34no—
439C3×D4—34no—
440C3×D4—41no—
441C3×D4—44no—
442C3×D4—68no—
443C3×D4—68no—
444C3×D4—64no—
445C3×D4—62no—
446C3×D4C2×C4×D312yes—
447C3×D4C22×Dic312yes—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—21no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—21no—
456C2×C3×C4—32no—
457C2×C3×C4—34no—
458C2×C3×C4—34no—
459C2×C3×C4—44no—
460C2×C3×C4—41no—
461C2×C3×C4—68no—
462C2×C3×C4—62no—
463C2×C3×C4—241no—
464C2×C3×C4C2×C4×D312yes—
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4D3×D412yes—
467C2×C3×C4C22×Dic312yes—
468C2×C3×C4C2×#6711yescharacteristic
469C2×C3×C4C2×#6712yes—
470C2×C3×C4C23×D311yescharacteristic
471C2×C3×C4C23×D311yescharacteristic
472#67—28no—
473#67#21718yes—
474C2×Dic3—22no—
475C2×Dic3—61no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—81no—
480C2×Dic3—121no—
481C2×Dic3—121no—
482C2×Dic3—242no—
483C2×Dic3C2×#6712yes—
484D12—28no—
485D12—24no—
486D12—22no—
487D12#21714yes—
488D12C22×Dic314yes—
489C4×D3—28no—
490C4×D3—242no—
491C4×D3C22×Dic314yes—
492C4×D3C2×#6714yes—
493Dic6#21714yes—
494C3×C8—62no—
495C3⋊C8—22no—
496C3⋊C8—61no—
497C3⋊C8—61no—
498C3⋊C8—61no—
499C3⋊C8—61no—
500C3⋊C8—121no—
501C3⋊C8—121no—
502C2×C32—22no—
503C2×C32—42no—
504C2×C32C22×C22⋊C411yescharacteristic
505C2×C32#57611yescharacteristic
506C2×C32#57711yescharacteristic
507C3×D3—24no—
508C3×D3—44no—
509C24—62no—
510C24—61no—
511#41—22no—
512#41—34no—
513#41—34no—
514#41—38no—
515#41—68no—
516#41—64no—
517#41D3×Dic314yescomplemented
518C2×Q8—31no—
519C2×Q8C2×D3211yescharacteristic
520C2×D4—21no—
521C2×D4—32no—
522C2×D4—38no—
523C2×D4—32no—
524C2×D4—34no—
525C2×D4—31no—
526C2×D4—68no—
527C2×D4—62no—
528C2×D4—64no—
529C2×D4—62no—
530C2×D4—616no—
531C2×D4—61no—
532C2×D4—62no—
533C2×D4C2×D3211yescharacteristic
534C22×C4—21no—
535C22×C4—32no—
536C22×C4—62no—
537C22×C4—61no—
538C22×C4—182no—
539C22×C4C2×D3211yescharacteristic
540M16—62no—
541M16—184no—
542C2×C8—32no—
543C2×C8—91no—
544C2×C8—91no—
545C2×C8—184no—
546C2×C8—182no—
547C4⋊C4—32no—
548C4⋊C4—61no—
549C4⋊C4—91no—
550C4⋊C4—91no—
551C4⋊C4—182no—
552C22⋊C4—182no—
553C22⋊C4—181no—
554C42—182no—
555C42—181no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—21no—
563C22×C3—22no—
564C22×C3—34no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—42no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—62no—
573C22×C3—62no—
574C22×C3—64no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3—122no—
578C22×C3—122no—
579C22×C3—244no—
580C22×C3—248no—
581C22×C3D3×C22⋊C412yes—
582C22×C3C2×#21712yes—
583C22×C3C2×D3×D411yescharacteristic
584C22×C3C22×#6711yescharacteristic
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—24no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—88no—
591C2×D3—84no—
592C2×D3C2×#21714yes—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—22no—
598C3×C4—34no—
599C3×C4—42no—
600C3×C4—122no—
601C3×C4D3×C22⋊C412yes—
602C3×C4C2×#21712yes—
603C3×C4C22×C4×D311yescharacteristic
604C3×C4C2×D3×D411yescharacteristic
605C3×C4C23×Dic311yescharacteristic
606C3×C4C22×#6711yescharacteristic
607Dic3—42no—
608Dic3—121no—
609Dic3—121no—
610Dic3—121no—
611Dic3—121no—
612Dic3—241no—
613Dic3—241no—
614Dic3C2×#21714yes—
615C32#289711yescharacteristic, complemented, Sylow
616C23—21no—
617C23—32no—
618C23—68no—
619C23—62no—
620C23—64no—
621C23—241no—
622C23—241no—
623C23—242no—
624C23—242no—
625C23D3×#6711yescharacteristic
626Q8—21no—
627Q8—34no—
628Q8C2×D3×Dic312yes—
629D4—24no—
630D4—21no—
631D4—38no—
632D4—34no—
633D4—34no—
634D4—68no—
635D4—68no—
636D4—62no—
637D4—64no—
638D4C2×D3×Dic312yes—
639C2×C4—21no—
640C2×C4—24no—
641C2×C4—32no—
642C2×C4—34no—
643C2×C4—34no—
644C2×C4—68no—
645C2×C4—62no—
646C2×C4—181no—
647C2×C4—181no—
648C2×C4—241no—
649C2×C4—722no—
650C2×C4C2×D3×Dic312yes—
651C2×C4D3×#6712yes—
652C2×C4D3×#6711yescharacteristic
653C2×C4C22×D3211yescharacteristic
654C8—62no—
655C8—181no—
656C8—181no—
657C2×C3—22no—
658C2×C3—22no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—21no—
662C2×C3—42no—
663C2×C3—42no—
664C2×C3—42no—
665C2×C3—64no—
666C2×C3—82no—
667C2×C3—124no—
668C2×C3C2×D3×C22⋊C411yescharacteristic
669C2×C3#577411yescharacteristic
670C2×C3#577811yescharacteristic
671C2×C3#583511yescharacteristic
672C2×C3#583611yescharacteristic
673C2×C3C22×#21711yescharacteristic
674D3—24no—
675D3—44no—
676C22—21no—
677C22—21no—
678C22—22no—
679C22—34no—
680C22—41no—
681C22—41no—
682C22—62no—
683C22—62no—
684C22—64no—
685C22—122no—
686C22—122no—
687C22—244no—
688C22—248no—
689C22D3×#21712yes—
690C22C2×D3×#6711yescharacteristic
691C4—22no—
692C4—34no—
693C4—122no—
694C4—361no—
695C4—361no—
696C4D3×#21712yes—
697C4C22×D3×Dic311yescharacteristic
698C4C2×D3×#6711yescharacteristic
699C3—21no—
700C3#7888211yescharacteristic, complemented
701C3#8409911yescharacteristic, complemented
702C2—22no—
703C2—42no—
704C2—64no—
705C2—124no—
706C2#1059545411yescharacteristic
707C2#1059546411yescharacteristic
708C2C2×D3×#21711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
prime radicalC2×C3×#1009C2
cosocleC2×C32×C4C24
hypercenterC2×#41D32
hypocenterC32#2897
LCSG ▷ 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
2. #10594986C2semidirect
3. C2×#63815C2semidirect
4. #10592932C2semidirect
5. C3×#5232C2semidirect
6. #10591556C2semidirect
7. #10591550C2semidirect
8. #10591421C2semidirect
9. D3×#832C2semidirect
10. #10591086C2semidirect
11. C2×#63562C2semidirect
16. C3×#1009C4semidirect
24. #64135C22semidirect
25. C22×C3⋊(C3⋊C8)C22semidirect
26. C2×C3×C4⋊Dic3C22semidirect
27. C2×C3×#208C22semidirect
30. D3×C4⋊Dic3C22semidirect
32. #63841C22semidirect
33. C2×#3711C22semidirect
35. C2×D3×C3⋊C8C22semidirect
36. #63662C22semidirect
37. #63662C22semidirect
38. #63659C22semidirect
39. #63659C22semidirect
40. C3×#835C22semidirect
41. C3×#832C22semidirect
42. #63563C22semidirect
43. #63563C22semidirect
44. #63562C22semidirect
45. #63562C22semidirect
58. #5232D3semidirect
72. C32×#41C2×C4semidirect
82. C3×#239C2×C4semidirect
85. C3×D3×D4C2×C4semidirect
93. C2×C3×D12C2×C4semidirect
130. #1009Dic3semidirect
150. C2×C4⋊Dic3C2×D3semidirect
152. C2×#208C2×D3semidirect
172. #835C2×D3semidirect
183. #832C2×D3semidirect
253. C3×#41C4×D3semidirect
254. C3×#41C2×Dic3semidirect
291. #239C2×Dic3semidirect
294. D3×D4C2×Dic3semidirect
302. C2×D12C2×Dic3semidirect
517. #41D3×Dic3semidirect
615. C32#2897semidirect
700. C3#78882semidirect
701. C3#84099semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
#105949862
C2×#638152
#105929322
C3×#52322
#105915562
#105915502
#105914212
D3×#8322
#105910862
C2×#635622
#840993
#788823