Finite Group Databasebeta

← #13155843

Subgroups — #13155843

Order 1728.

942 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×D12C211yesmaximal, characteristic
2C2×#88811C211yesmaximal, characteristic, complemented
3C2×#88792C211yesmaximal, characteristic, complemented
4C3×#63857C211yesmaximal, characteristic, complemented
5#11722033C211yesmaximal, characteristic, complemented
6(C2×D3)⋊(C3⋊(C3⋊C8))C211yesmaximal, characteristic, complemented
7C3×#63562C211yesmaximal, characteristic, complemented
8#10591459—31nomaximal
9#10591169—31nomaximal
10#10590596—31nomaximal
11C22×C3×D32—21no—
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×#634C2211yescharacteristic, complemented
14C2×C32×D12C2211yescharacteristic
15C2×C32×C4×D3C2211yescharacteristic
16C2×C3×#626—21no—
17C3×D3×D12—22no—
18C3×D3×D12—22no—
19C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
20C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
21C32×C4⋊Dic3C2211yescharacteristic, complemented
22#88811—22no—
23#88792—22no—
24C3×Dic3⋊Dic3—21no—
25C3×(C2×D3)⋊Dic3—21no—
26C2×C3×D3×D4—31no—
27C22×C3×D12—31no—
28C2×D3×D12D311yescharacteristic
29C2×#3754—31no—
30C3×#924—31no—
31C3×#897—31no—
32#63857D311yescharacteristic, complemented
33C2×#3717—31no—
34C2×#3716—31no—
35C2×#3715—31no—
36C2×#3715—31no—
37C2×#3715—31no—
38C2×#3715—61no—
39#63657—31no—
40#63636—31no—
41C3×#832—31no—
42C3×#809—31no—
43#63562—31no—
44#63562—31no—
45#63562—61no—
46#63562D311yescharacteristic, complemented
47(C2×D3)⋊(C3⋊C8)—31no—
48(C2×D3)⋊(C3⋊C8)—31no—
49(C2×D3)⋊(C3⋊C8)—61no—
50C22×C3×C3⋊D3—21no—
51C22×C32×D3—21no—
52C22×C32×D3D411yescharacteristic
53C2×C3×D32—24no—
54C2×C3×D32—42no—
55C2×C3×D32—42no—
56C2×C33×C4C2311yescharacteristic
57C2×C3×C3⋊Dic3—21no—
58C3×C4⋊(C3⋊D3)—21no—
59C3×C4⋊(C3⋊D3)D412yes—
60C3×#634—21no—
61C3×#634—21no—
62C2×C32×Dic3—21no—
63C2×C32×Dic3D411yescharacteristic
64C32×D12—21no—
65C32×D12D412yes—
66C32×C4×D3—21no—
67C32×C4×D3—21no—
68C3×#626—24no—
69C3⋊(C3⋊(C3⋊C8))—21no—
70C3×C3⋊(C3⋊C8)—21no—
71#5218—91no—
72#5046—91no—
73#4776—91no—
74C23×C3×D3—61no—
75C23×C3×D3—61no—
76C22×D32—21no—
77C2×C32×D4—31no—
78C22×C32×C4—31no—
79C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
80C2×#634C2×D311yescharacteristic, complemented
81C2×C3×#67—61no—
82C3×D3×D4—62no—
83C3×D3×D4—62no—
84C2×C3×D12—21no—
85C2×C3×D12—31no—
86C2×C3×D12—31no—
87C2×C3×D12—62no—
88C2×C3×D12—61no—
89C2×C3×D12—62no—
90C2×C3×D12—61no—
91C2×C3×D12C2×D311yescharacteristic
92C2×C3×D12C2×D311yescharacteristic
93C2×C3×C4×D3—21no—
94C2×C3×C4×D3C2×D311yescharacteristic
95C2×C3×C4×D3C2×D311yescharacteristic
96C2×C3×Dic6—31no—
97C2×C3×Dic6—31no—
98C2×C3×Dic6—61no—
99C2×#626—21no—
100D3×D12—22no—
101D3×D12—22no—
102C32×C4⋊C4—31no—
103#3754—62no—
104C2×C3⋊(C3⋊C8)—31no—
105C2×C3⋊(C3⋊C8)—31no—
106C2×C3⋊(C3⋊C8)—31no—
107C2×C3⋊(C3⋊C8)—61no—
108C2×C3⋊(C3⋊C8)—61no—
109C2×C3⋊(C3⋊C8)—61no—
110C2×C3⋊(C3⋊C8)—121no—
111C2×C3⋊(C3⋊C8)C2×D311yescharacteristic, complemented
112C3×#217—61no—
113C3×(C2×D3)⋊C4—61no—
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3—61no—
116C3×C4⋊Dic3C2×D311yescharacteristic, complemented
117C3×C4⋊Dic3C2×D311yescharacteristic, complemented
118C3×Dic3⋊C4—61no—
119C2×C3×C3⋊C8—31no—
120C2×C3×C3⋊C8—31no—
121C2×C3×C3⋊C8—61no—
122Dic3⋊Dic3—21no—
123(C2×D3)⋊Dic3—21no—
124#3717—62no—
125#3716—62no—
126#3715—62no—
127#3715—64no—
128#3715—62no—
129#3715—62no—
130C22×C33C2×D411yescharacteristic
131C2×C3×C3⋊D3—22no—
132C2×C3×C3⋊D3—41no—
133C2×C3×C3⋊D3—41no—
134C2×C32×D3—21no—
135C2×C32×D3—21no—
136C2×C32×D3—22no—
137C2×C32×D3—41no—
138C2×C32×D3—41no—
139C2×C32×D3SD1612yescomplemented
140C3×D32—48no—
141C33×C4C2×D411yescharacteristic
142C33×C4C2×D411yescharacteristic
143C3×C3⋊Dic3—41no—
144C32×Dic3—21no—
145C32×Dic3—41no—
146C22×C3×D4—91no—
147C2×D3×D4—31no—
148C22×D12—31no—
149C3×C22⋊Q8—91no—
150C2×#215—91no—
151C2×#215—91no—
152C2×#214—91no—
153C2×#214—91no—
154C2×#214—91no—
155C2×#214—181no—
156#924—31no—
157C2×#204—91no—
158#897—31no—
159C3×#102—91no—
160#832—31no—
161#832—91no—
162#830—91no—
163#830—91no—
164#830—181no—
165(C2×D3)⋊C8—91no—
166#809—31no—
167#809—91no—
168#809—91no—
169#809—181no—
170C23×C32—31no—
171C23×C32—61no—
172C22×C3⋊D3—21no—
173C22×C3×D3—21no—
174C22×C3×D3—21no—
175C22×C3×D3—21no—
176C22×C3×D3—41no—
177C22×C3×D3—64no—
178C22×C3×D3—64no—
179C22×C3×D3—61no—
180C22×C3×D3—61no—
181C22×C3×D3—121no—
182C22×C3×D3—122no—
183C22×C3×D3—122no—
184C22×C3×D3—122no—
185C22×C3×D3—122no—
186C22×C3×D3#6711yescharacteristic
187C22×C3×D3#6711yescharacteristic
188C2×D32—24no—
189C2×D32—42no—
190C2×D32—42no—
191C32×D4—32no—
192C32×D4—61no—
193C2×C32×C4—21no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—31no—
197C2×C32×C4—41no—
198C2×C32×C4—61no—
199C2×C32×C4—61no—
200C2×C32×C4—61no—
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C22×D311yescharacteristic
203C2×C32×C4C22×D311yescharacteristic
204C2×C3⋊Dic3—21no—
205C4⋊(C3⋊D3)—21no—
206C4⋊(C3⋊D3)#6712yes—
207#634—21no—
208#634—21no—
209C3×#67—64no—
210C2×C3×Dic3—21no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—41no—
214C2×C3×Dic3—61no—
215C2×C3×Dic3—61no—
216C2×C3×Dic3—121no—
217C2×C3×Dic3#6711yescharacteristic
218C2×C3×Dic3#6711yescharacteristic
219C3×D12—21no—
220C3×D12—21no—
221C3×D12—22no—
222C3×D12—32no—
223C3×D12—32no—
224C3×D12—41no—
225C3×D12—62no—
226C3×D12—64no—
227C3×D12—61no—
228C3×D12—61no—
229C3×D12—121no—
230C3×D12D1212yes—
231C3×D12#6712yes—
232C3×C4×D3—21no—
233C3×C4×D3—21no—
234C3×C4×D3—21no—
235C3×C4×D3—21no—
236C3×C4×D3—41no—
237C3×C4×D3—41no—
238C3×Dic6—62no—
239C3×Dic6—61no—
240C3×Dic6—61no—
241C3×Dic6—61no—
242C3×Dic6—61no—
243C3×Dic6—121no—
244#626—24no—
245C3⋊(C3⋊C8)—21no—
246C3⋊(C3⋊C8)—61no—
247C3⋊(C3⋊C8)—62no—
248C3⋊(C3⋊C8)—61no—
249C3⋊(C3⋊C8)—61no—
250C3⋊(C3⋊C8)—121no—
251C3⋊(C3⋊C8)—121no—
252C3⋊(C3⋊C8)—122no—
253C3×C3⋊C8—61no—
254C3×C3⋊C8—61no—
255C3×C3⋊C8—121no—
256#450—271noSylow
257C2×C33#12011yescharacteristic
258C2×C33C2×SD1611yescharacteristic
259C2×C33AGL(1,ℤ/8)11yescharacteristic
260C3×C3⋊D3—42no—
261C32×D3—22no—
262C32×D3—42no—
263C24×C3—181no—
264C23×D3—61no—
265C23×D3—61no—
266C2×C3×Q8—91no—
267C2×C3×D4—31no—
268C2×C3×D4—31no—
269C2×C3×D4—61no—
270C2×C3×D4—91no—
271C2×C3×D4—181no—
272C2×C3×D4—182no—
273C2×C3×D4—182no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—61no—
277C2×#67—61no—
278D3×D4—62no—
279D3×D4—62no—
280C2×D12—31no—
281C2×D12—31no—
282C2×D12—61no—
283C2×D12—62no—
284C2×D12—61no—
285C2×D12—62no—
286C2×D12D3211yescharacteristic
287C2×C4×D3D3211yescharacteristic
288C2×Dic6—31no—
289C2×Dic6—31no—
290C2×Dic6—61no—
291C2×C3×C8—91no—
292C3×C4⋊C4—31no—
293C3×C4⋊C4—31no—
294C3×C4⋊C4—61no—
295C3×C4⋊C4—181no—
296C3×C22⋊C4—181no—
297#217—61no—
298#215—182no—
299#215—182no—
300#214—182no—
301#214—182no—
302#214—182no—
303#214—184no—
304(C2×D3)⋊C4—61no—
305C4⋊Dic3—61no—
306C4⋊Dic3D3211yescharacteristic, complemented
307Dic3⋊C4—61no—
308C2×C3⋊C8—31no—
309C2×C3⋊C8—31no—
310C2×C3⋊C8—61no—
311C2×C3⋊C8—91no—
312C2×C3⋊C8—91no—
313C2×C3⋊C8—91no—
314C2×C3⋊C8—181no—
315C2×C3⋊C8—181no—
316C2×C3⋊C8—181no—
317C2×C3⋊C8—361no—
318#204—182no—
319C22×C32—21no—
320C22×C32—21no—
321C22×C32—21no—
322C22×C32—32no—
323C22×C32—41no—
324C22×C32—61no—
325C22×C32—61no—
326C22×C32—62no—
327C22×C32—121no—
328C22×C32—121no—
329C22×C32D3×D411yescharacteristic
330C22×C32C2×#6711yescharacteristic
331C22×C32C2×#6711yescharacteristic
332C2×C3⋊D3—22no—
333C2×C3⋊D3—41no—
334C2×C3⋊D3—41no—
335C2×C3×D3—21no—
336C2×C3×D3—21no—
337C2×C3×D3—21no—
338C2×C3×D3—21no—
339C2×C3×D3—22no—
340C2×C3×D3—22no—
341C2×C3×D3—22no—
342C2×C3×D3—41no—
343C2×C3×D3—41no—
344C2×C3×D3—42no—
345C2×C3×D3—41no—
346C2×C3×D3—41no—
347C2×C3×D3—41no—
348C2×C3×D3—41no—
349C2×C3×D3—62no—
350C2×C3×D3—62no—
351C2×C3×D3—81no—
352C2×C3×D3—81no—
353C2×C3×D3—122no—
354C2×C3×D3—128no—
355C2×C3×D3—128no—
356C2×C3×D3—121no—
357C2×C3×D3—121no—
358C2×C3×D3—121no—
359C2×C3×D3—121no—
360C2×C3×D3—241no—
361C2×C3×D3—241no—
362C2×C3×D3#21412yescomplemented
363C2×C3×D3#21512yescomplemented
364D32—48no—
365C32×C4—21no—
366C32×C4—21no—
367C32×C4—21no—
368C32×C4—21no—
369C32×C4—21no—
370C32×C4—21no—
371C32×C4—41no—
372C32×C4—41no—
373C32×C4—61no—
374C32×C4—121no—
375C32×C4C2×D1211yescharacteristic
376C32×C4D3×D411yescharacteristic
377C32×C4D3×D411yescharacteristic
378C32×C4D3×D411yescharacteristic
379C32×C4C2×#6711yescharacteristic
380C32×C4C2×#6711yescharacteristic
381C3⋊Dic3—41no—
382C3×Dic3—21no—
383C3×Dic3—21no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3—41no—
387C3×Dic3—81no—
388C3×Dic3—122no—
389C3×Dic3—121no—
390C3×Dic3—121no—
391C22×D4—91no—
392C2×SD16—271no—
393C2×SD16—271no—
394C22⋊Q8—91no—
395#102—91no—
396#102—271no—
397C22⋊C8—271no—
398C33#45011yescharacteristic, complemented, Sylow
399C23×C3—31no—
400C23×C3—31no—
401C23×C3—61no—
402C23×C3—61no—
403C23×C3—61no—
404C23×C3—121no—
405C23×C3—184no—
406C23×C3—181no—
407C23×C3—362no—
408C23×C3—362no—
409C22×D3—21no—
410C22×D3—64no—
411C22×D3—64no—
412C22×D3—61no—
413C22×D3—61no—
414C22×D3—121no—
415C22×D3—122no—
416C22×D3—122no—
417C22×D3—122no—
418C22×D3—122no—
419C22×D3#62511yescharacteristic
420C3×Q8—181no—
421C3×Q8—181no—
422C3×D4—32no—
423C3×D4—32no—
424C3×D4—62no—
425C3×D4—61no—
426C3×D4—61no—
427C3×D4—92no—
428C3×D4—121no—
429C3×D4—184no—
430C3×D4—181no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—31no—
435C2×C3×C4—31no—
436C2×C3×C4—41no—
437C2×C3×C4—61no—
438C2×C3×C4—61no—
439C2×C3×C4—61no—
440C2×C3×C4—61no—
441C2×C3×C4—61no—
442C2×C3×C4—61no—
443C2×C3×C4—61no—
444C2×C3×C4—121no—
445C2×C3×C4—121no—
446C2×C3×C4—121no—
447C2×C3×C4—181no—
448C2×C3×C4C2×D3211yescharacteristic
449C2×C3×C4C2×D3211yescharacteristic
450C2×C3×C4C2×D3211yescharacteristic
451#67—64no—
452C2×Dic3—21no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455C2×Dic3—121no—
456C2×Dic3#62511yescharacteristic
457D12—21no—
458D12—32no—
459D12—32no—
460D12—62no—
461D12—64no—
462D12—61no—
463D12—61no—
464D12—121no—
465D12#62612yes—
466C4×D3—21no—
467C4×D3—21no—
468Dic6—62no—
469Dic6—61no—
470Dic6—61no—
471Dic6—61no—
472Dic6—61no—
473Dic6—121no—
474C3×C8—181no—
475C3⋊C8—61no—
476C3⋊C8—61no—
477C3⋊C8—121no—
478C3⋊C8—182no—
479C3⋊C8—181no—
480C3⋊C8—181no—
481C3⋊C8—181no—
482C3⋊C8—361no—
483C3⋊C8—361no—
484C3⋊C8—362no—
485C2×C32—21no—
486C2×C32—21no—
487C2×C32—21no—
488C2×C32—21no—
489C2×C32—21no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—21no—
494C2×C32—41no—
495C2×C32—41no—
496C2×C32—41no—
497C2×C32—62no—
498C2×C32—122no—
499C2×C32#88211yescharacteristic
500C2×C32#91111yescharacteristic
501C2×C32D3×SD1611yescharacteristic
502C2×C32#93211yescharacteristic
503C2×C32C2×#21411yescharacteristic
504C2×C32#93711yescharacteristic
505C2×C32C2×#21511yescharacteristic
506C2×C32#94911yescharacteristic
507C2×C32#95311yescharacteristic
508C3⋊D3—42no—
509C3×D3—22no—
510C3×D3—22no—
511C3×D3—42no—
512C3×D3—42no—
513C3×D3—42no—
514C3×D3—82no—
515C3×D3—122no—
516C3×D3—122no—
517C3×D3—242no—
518C24—181no—
519C2×Q8—91no—
520C2×D4—31no—
521C2×D4—91no—
522C2×D4—181no—
523C2×D4—182no—
524C2×D4—182no—
525C22×C4—31no—
526SD16—542no—
527SD16—542no—
528C2×C8—91no—
529C2×C8—271no—
530C4⋊C4—31no—
531C4⋊C4—181no—
532C22⋊C4—181no—
533C22×C3—21no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—32no—
537C22×C3—32no—
538C22×C3—41no—
539C22×C3—62no—
540C22×C3—61no—
541C22×C3—61no—
542C22×C3—61no—
543C22×C3—61no—
544C22×C3—62no—
545C22×C3—62no—
546C22×C3—121no—
547C22×C3—121no—
548C22×C3—122no—
549C22×C3—121no—
550C22×C3—121no—
551C22×C3—121no—
552C22×C3—121no—
553C22×C3—182no—
554C22×C3—241no—
555C22×C3—241no—
556C22×C3—368no—
557C22×C3—361no—
558C22×C3—361no—
559C22×C3C2×#62511yescharacteristic
560C22×C3D3×#6711yescharacteristic
561C22×C3D3×#6711yescharacteristic
562C2×D3—21no—
563C2×D3—21no—
564C2×D3—22no—
565C2×D3—41no—
566C2×D3—41no—
567C2×D3—62no—
568C2×D3—62no—
569C2×D3—122no—
570C2×D3—128no—
571C2×D3—128no—
572C2×D3—121no—
573C2×D3—121no—
574C2×D3—121no—
575C2×D3—121no—
576C2×D3—241no—
577C2×D3—241no—
578C2×D3#371512yescomplemented
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—61no—
588C3×C4—61no—
589C3×C4—121no—
590C3×C4—121no—
591C3×C4—121no—
592C3×C4—241no—
593C3×C4—361no—
594C3×C4D3×D1211yescharacteristic
595C3×C4#380211yescharacteristic
596C3×C4C2×#62611yescharacteristic
597C3×C4D3×#6711yescharacteristic
598C3×C4D3×#6711yescharacteristic
599C3×C4D3×#6711yescharacteristic
600Dic3—21no—
601Dic3—41no—
602Dic3—122no—
603Dic3—121no—
604Dic3—121no—
605C32—21no—
606C32—21no—
607C32—21no—
608C32—41no—
609C32#477611yescharacteristic, complemented
610C32#504611yescharacteristic, complemented
611C32#521811yescharacteristic, complemented
612C23—31no—
613C23—61no—
614C23—184no—
615C23—181no—
616C23—362no—
617C23—362no—
618Q8—181no—
619Q8—181no—
620D4—32no—
621D4—61no—
622D4—92no—
623D4—184no—
624D4—181no—
625C2×C4—31no—
626C2×C4—61no—
627C2×C4—61no—
628C2×C4—61no—
629C2×C4—181no—
630C2×C4D3311yescharacteristic
631C8—181no—
632C8—541no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—21no—
636C2×C3—21no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—41no—
643C2×C3—41no—
644C2×C3—41no—
645C2×C3—62no—
646C2×C3—62no—
647C2×C3—122no—
648C2×C3—122no—
649C2×C3—122no—
650C2×C3—242no—
651C2×C3—362no—
652C2×C3#6382311yescharacteristic
653C2×C3C2×#371511yescharacteristic
654C2×C3#6392211yescharacteristic
655C2×C3#6392511yescharacteristic
656C2×C3D3×#21411yescharacteristic
657C2×C3#6393211yescharacteristic
658C2×C3D3×#21511yescharacteristic
659C2×C3#6397611yescharacteristic
660C2×C3#6397711yescharacteristic
661D3—22no—
662D3—42no—
663D3—122no—
664D3—122no—
665D3—242no—
666C22—32no—
667C22—61no—
668C22—61no—
669C22—62no—
670C22—121no—
671C22—121no—
672C22—182no—
673C22—368no—
674C22—361no—
675C22—361no—
676C22D3×#62511yescharacteristic
677C4—61no—
678C4—121no—
679C4—361no—
680C4D3×#62611yescharacteristic
681C4#8895311yescharacteristic
682C3—21no—
683C3—21no—
684C3—21no—
685C3—41no—
686C3#1059059611yescharacteristic, complemented
687C3#1059116911yescharacteristic, complemented
688C3#1059145911yescharacteristic, complemented
689C2—62no—
690C2—122no—
691C2—362no—
692C2D3×#371511yescharacteristic
693C2#1172286611yescharacteristic
694C2#1172294711yescharacteristic
subgroupG/H
centerC22D3×#625
commutator, Fitting, cosocleC2×C33×C4C23
Frattini, hypercenterC2×C4D33
socleC22×C33C2×D4
prime radicalC2×C3×D3×D12C2
hypocenterC33#450
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C2×#88811C2semidirect
3. C2×#88792C2semidirect
4. C3×#63857C2semidirect
5. #11722033C2semidirect
6. (C2×D3)⋊(C3⋊(C3⋊C8))C2semidirect
7. C3×#63562C2semidirect
13. C2×C3×#634C22semidirect
19. C2×C3⋊(C3⋊(C3⋊C8))C22semidirect
20. C2×C3×C3⋊(C3⋊C8)C22semidirect
21. C32×C4⋊Dic3C22semidirect
32. #63857D3semidirect
46. #63562D3semidirect
80. C2×#634C2×D3semidirect
111. C2×C3⋊(C3⋊C8)C2×D3semidirect
116. C3×C4⋊Dic3C2×D3semidirect
117. C3×C4⋊Dic3C2×D3semidirect
139. C2×C32×D3SD16semidirect
306. C4⋊Dic3D32semidirect
362. C2×C3×D3#214semidirect
363. C2×C3×D3#215semidirect
398. C33#450semidirect
578. C2×D3#3715semidirect
609. C32#4776semidirect
610. C32#5046semidirect
611. C32#5218semidirect
686. C3#10590596semidirect
687. C3#10591169semidirect
688. C3#10591459semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×D122
C2×#888112
C2×#887922
C3×#638572
#117220332
(C2×D3)⋊(C3⋊(C3⋊C8))2
C3×#635622
#105914593
#105911693
#105905963