Finite Group Databasebeta

← #13155842

Subgroups — #13155842

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×#88793C211yesmaximal, characteristic, complemented
3C3×#63856C211yesmaximal, characteristic, complemented
4C2×C3×#3715C211yesmaximal, characteristic, complemented
5#11722075C211yesmaximal, characteristic, complemented
6#11722031C211yesmaximal, characteristic, complemented
7(C2×D3)⋊(C3⋊(C3⋊C8))C211yesmaximal, characteristic, complemented
8#10591651—31nomaximal
9#10591458—31nomaximal
10#10591169—31nomaximal
11C22×C3×D32—21no—
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C32×D12C2211yescharacteristic
14C2×C32×C4×D3C2211yescharacteristic
15C2×C32×Dic6C2211yescharacteristic, complemented
16C2×C3×#626—21no—
17C3×D3×D12—22no—
18C3×D3×D12—22no—
19C2×C3⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
20C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
21C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
22#88793—22no—
23C3×#3724—21no—
24C3×(C2×D3)⋊Dic3—21no—
25C3×#3715—22no—
26C2×C3×D3×D4—31no—
27C22×C3×D12—31no—
28C2×D3×D12D311yescharacteristic
29C2×#3755—31no—
30C3×#946—31no—
31C2×C3×#215—31no—
32C2×C3×#214—31no—
33C3×#924—31no—
34#63856D311yescharacteristic, complemented
35C2×#3715—31no—
36C2×#3715—31no—
37C2×#3715—61no—
38C2×#3715D311yescharacteristic, complemented
39#63659—31no—
40#63657—31no—
41#63564—31no—
42#63563—31no—
43#63562—31no—
44#63562—31no—
45#63562—31no—
46#63562—61no—
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—
60C2×C32×Dic3—21no—
61C2×C32×Dic3D411yescharacteristic
62C32×D12—21no—
63C32×D12D412yes—
64C32×C4×D3—21no—
65C32×C4×D3—21no—
66C32×Dic6—21no—
67C32×Dic6—21no—
68C3×#626—24no—
69C3⋊(C3⋊(C3⋊C8))—21no—
70C3×C3⋊(C3⋊C8)—21no—
71#5218—91no—
72#5169—91no—
73#5046—91no—
74C23×C3×D3—61no—
75C23×C3×D3—61no—
76C22×D32—21no—
77C2×C32×Q8—31no—
78C2×C32×D4—31no—
79C22×C32×C4—31no—
80C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
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—21no—
97C2×C3×Dic6C2×D311yescharacteristic, complemented
98C2×C3×Dic6C2×D311yescharacteristic, complemented
99C2×#626—21no—
100D3×D12—22no—
101D3×D12—22no—
102#3755—62no—
103C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
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×#215—62no—
114C3×#214—62no—
115C3×(C2×D3)⋊C4—61no—
116C3×C4⋊Dic3—31no—
117C3×C4⋊Dic3—31no—
118C3×C4⋊Dic3—61no—
119C3×Dic3⋊C4—61no—
120C3×Dic3⋊C4—61no—
121C2×C3×C3⋊C8—31no—
122C2×C3×C3⋊C8—31no—
123C2×C3×C3⋊C8—61no—
124#3724—21no—
125(C2×D3)⋊Dic3—21no—
126#3715—22no—
127#3715—62no—
128#3715—62no—
129#3715—64no—
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—
149C2×C3×SD16—91no—
150C3×C22⋊Q8—91no—
151#946—31no—
152C2×#215—31no—
153C2×#215—91no—
154C2×#215—91no—
155C2×#215—181no—
156C2×#214—31no—
157C2×#214—91no—
158#924—31no—
159#832—91no—
160#832—91no—
161#832—91no—
162#832—181no—
163#830—91no—
164#830—91no—
165#830—181no—
166#821—91no—
167(C2×D3)⋊C8—91no—
168#809—91no—
169#809—91no—
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×Q8—61no—
192C32×Q8—61no—
193C32×D4—32no—
194C32×D4—61no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4—31no—
199C2×C32×C4—41no—
200C2×C32×C4—61no—
201C2×C32×C4—61no—
202C2×C32×C4—61no—
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C22×D311yescharacteristic
205C2×C32×C4C22×D311yescharacteristic
206C2×C3⋊Dic3—21no—
207C4⋊(C3⋊D3)—21no—
208C4⋊(C3⋊D3)#6712yes—
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×D12#6712yes—
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—22no—
239C3×Dic6—21no—
240C3×Dic6—21no—
241C3×Dic6—21no—
242C3×Dic6—21no—
243C3×Dic6—41no—
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—31no—
267C2×C3×Q8—31no—
268C2×C3×Q8—61no—
269C2×C3×D4—31no—
270C2×C3×D4—31no—
271C2×C3×D4—61no—
272C2×C3×D4—91no—
273C2×C3×D4—181no—
274C2×C3×D4—182no—
275C2×C3×D4—182no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—61no—
279C2×#67—61no—
280D3×D4—62no—
281D3×D4—62no—
282C2×D12—31no—
283C2×D12—31no—
284C2×D12—61no—
285C2×D12—62no—
286C2×D12—61no—
287C2×D12—62no—
288C2×D12D3211yescharacteristic
289C2×C4×D3D3211yescharacteristic
290C2×Dic6D3211yescharacteristic, complemented
291C3×SD16—182no—
292C2×C3×C8—91no—
293C3×C4⋊C4—91no—
294C3×C4⋊C4—181no—
295C3×C22⋊C4—181no—
296#217—61no—
297#215—62no—
298#215—182no—
299#215—182no—
300#215—184no—
301#214—62no—
302#214—182no—
303(C2×D3)⋊C4—61no—
304C4⋊Dic3—31no—
305C4⋊Dic3—31no—
306C4⋊Dic3—61no—
307Dic3⋊C4—61no—
308Dic3⋊C4—61no—
309C2×C3⋊C8—31no—
310C2×C3⋊C8—31no—
311C2×C3⋊C8—61no—
312C2×C3⋊C8—91no—
313C2×C3⋊C8—91no—
314C2×C3⋊C8—91no—
315C2×C3⋊C8—181no—
316C2×C3⋊C8—181no—
317C2×C3⋊C8—181no—
318C2×C3⋊C8—361no—
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×C4D3×D411yescharacteristic
376C32×C4D3×D411yescharacteristic
377C32×C4D3×D411yescharacteristic
378C32×C4C2×#6711yescharacteristic
379C32×C4C2×#6711yescharacteristic
380C32×C4C2×#6711yescharacteristic
381C3⋊Dic3—41no—
382C3×Dic3—21no—
383C3×Dic3—21no—
384C3×Dic3—41no—
385C3×Dic3—42no—
386C3×Dic3—41no—
387C3×Dic3—41no—
388C3×Dic3—121no—
389C3×Dic3—121no—
390C3×Dic3—241no—
391C22×D4—91no—
392C2×SD16—91no—
393C2×SD16—271no—
394C22⋊Q8—91no—
395#102—271no—
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—62no—
421C3×Q8—61no—
422C3×Q8—61no—
423C3×Q8—61no—
424C3×Q8—61no—
425C3×Q8—121no—
426C3×D4—32no—
427C3×D4—32no—
428C3×D4—62no—
429C3×D4—61no—
430C3×D4—61no—
431C3×D4—92no—
432C3×D4—121no—
433C3×D4—184no—
434C3×D4—181no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—31no—
439C2×C3×C4—31no—
440C2×C3×C4—41no—
441C2×C3×C4—61no—
442C2×C3×C4—61no—
443C2×C3×C4—61no—
444C2×C3×C4—61no—
445C2×C3×C4—61no—
446C2×C3×C4—61no—
447C2×C3×C4—61no—
448C2×C3×C4—121no—
449C2×C3×C4—121no—
450C2×C3×C4—121no—
451C2×C3×C4—181no—
452C2×C3×C4C2×D3211yescharacteristic
453C2×C3×C4C2×D3211yescharacteristic
454C2×C3×C4C2×D3211yescharacteristic
455#67—64no—
456C2×Dic3—21no—
457C2×Dic3—61no—
458C2×Dic3—61no—
459C2×Dic3—121no—
460C2×Dic3#62511yescharacteristic
461D12—21no—
462D12—32no—
463D12—32no—
464D12—62no—
465D12—64no—
466D12—61no—
467D12—61no—
468D12—121no—
469D12#62512yes—
470C4×D3—21no—
471C4×D3—21no—
472Dic6—21no—
473Dic6—21no—
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×C32D3×SD1611yescharacteristic
500C2×C32#91411yescharacteristic
501C2×C32#93211yescharacteristic
502C2×C32C2×#21411yescharacteristic
503C2×C32#93711yescharacteristic
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—31no—
520C2×D4—31no—
521C2×D4—91no—
522C2×D4—181no—
523C2×D4—182no—
524C2×D4—182no—
525C22×C4—31no—
526SD16—182no—
527SD16—542no—
528C2×C8—91no—
529C2×C8—271no—
530C4⋊C4—91no—
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—122no—
591C3×C4—121no—
592C3×C4—121no—
593C3×C4—361no—
594C3×C4C2×#62511yescharacteristic
595C3×C4D3×#6711yescharacteristic
596C3×C4D3×#6711yescharacteristic
597C3×C4D3×#6711yescharacteristic
598C3×C4D3×#6711yescharacteristic
599C3×C4#381111yescharacteristic
600Dic3—21no—
601Dic3—41no—
602Dic3—121no—
603Dic3—121no—
604Dic3—241no—
605C32—21no—
606C32—21no—
607C32—21no—
608C32—41no—
609C32#504611yescharacteristic, complemented
610C32#516911yescharacteristic, complemented
611C32#521811yescharacteristic, complemented
612C23—31no—
613C23—61no—
614C23—184no—
615C23—181no—
616C23—362no—
617C23—362no—
618Q8—61no—
619Q8—61no—
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×C3D3×#21411yescharacteristic
655C2×C3#6393411yescharacteristic
656C2×C3D3×#21511yescharacteristic
657C2×C3#6393911yescharacteristic
658C2×C3#6397611yescharacteristic
659C2×C3#6397611yescharacteristic
660C2×C3#6398311yescharacteristic
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×#62511yescharacteristic
681C4#8895211yescharacteristic
682C3—21no—
683C3—21no—
684C3—21no—
685C3—41no—
686C3#1059116911yescharacteristic, complemented
687C3#1059145811yescharacteristic, complemented
688C3#1059165111yescharacteristic, complemented
689C2—62no—
690C2—122no—
691C2—362no—
692C2D3×#371511yescharacteristic
693C2#1172286711yescharacteristic
694C2#1172294611yescharacteristic
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×#88793C2semidirect
3. C3×#63856C2semidirect
4. C2×C3×#3715C2semidirect
5. #11722075C2semidirect
6. #11722031C2semidirect
7. (C2×D3)⋊(C3⋊(C3⋊C8))C2semidirect
15. C2×C32×Dic6C22semidirect
19. C2×C3⋊(C3⋊(C3⋊C8))C22semidirect
20. C3×C4⋊(C3⋊Dic3)C22semidirect
21. C2×C3×C3⋊(C3⋊C8)C22semidirect
34. #63856D3semidirect
38. C2×#3715D3semidirect
97. C2×C3×Dic6C2×D3semidirect
98. C2×C3×Dic6C2×D3semidirect
103. C4⋊(C3⋊Dic3)C2×D3semidirect
111. C2×C3⋊(C3⋊C8)C2×D3semidirect
139. C2×C32×D3SD16semidirect
290. C2×Dic6D32semidirect
362. C2×C3×D3#214semidirect
363. C2×C3×D3#215semidirect
398. C33#450semidirect
578. C2×D3#3715semidirect
609. C32#5046semidirect
610. C32#5169semidirect
611. C32#5218semidirect
686. C3#10591169semidirect
687. C3#10591458semidirect
688. C3#10591651semidirect

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×#887932
C3×#638562
C2×C3×#37152
#117220752
#117220312
(C2×D3)⋊(C3⋊(C3⋊C8))2
#105916513
#105914583
#105911693