Finite Group Databasebeta

← #13155845

Subgroups — #13155845

Order 1728.

952 conjugacy classes of subgroups.

The subgroup lattice has 704 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
3#11723425C211yesmaximal, characteristic, complemented
4C2×C3×#3716C211yesmaximal, characteristic, complemented
5#11722034C211yesmaximal, characteristic, complemented
6#11722032C211yesmaximal, characteristic, complemented
7C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
8#10591458—31nomaximal
9#10591172—31nomaximal
10#10590942—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—
19C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
20C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
21C2×C32×C3⋊C8C2211yescharacteristic, complemented
22#88811—22no—
23#88806—21no—
24(C2×D3)⋊(C3⋊Dic3)—21no—
25C3×#3716—22no—
26C2×C3×D3×D4—31no—
27C22×C3×D12—31no—
28C2×D3×D12D311yescharacteristic
29#64133—31no—
30C2×C3×#214—31no—
31C2×C3×#204—31no—
32#63856—31no—
33#63856—31no—
34#63856—61no—
35C2×#3717—31no—
36C2×#3716—31no—
37C2×#3716D311yescharacteristic, complemented
38C2×#3715—31no—
39#63659—31no—
40#63648—31no—
41C3×#830—31no—
42C3×(C2×D3)⋊C8—31no—
43#63563—31no—
44#63563—31no—
45#63563—31no—
46#63563—31no—
47#63563—61no—
48#63563—61no—
49(C2×D3)⋊(C3⋊C8)D311yescharacteristic, complemented
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—
58C2×C3×C3⋊Dic3—21no—
59C3×C4⋊(C3⋊D3)—21no—
60C3×C4⋊(C3⋊D3)D412yes—
61C3×#634—21no—
62C3×#634—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—
70C32×C3⋊C8—21no—
71#5218—91no—
72#5169—91no—
73#4731—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—
102C2×C32×C8—31no—
103#3757—61no—
104C4⋊(C3⋊Dic3)—31no—
105C4⋊(C3⋊Dic3)—31no—
106C4⋊(C3⋊Dic3)—31no—
107C4⋊(C3⋊Dic3)—61no—
108C4⋊(C3⋊Dic3)—61no—
109C4⋊(C3⋊Dic3)—61no—
110C4⋊(C3⋊Dic3)—121no—
111#3750—61no—
112C2×C3⋊(C3⋊C8)C2×D311yescharacteristic, complemented
113C3×#214—62no—
114C2×C3×C3⋊C8—21no—
115C2×C3×C3⋊C8—31no—
116C2×C3×C3⋊C8—31no—
117C2×C3×C3⋊C8—61no—
118C2×C3×C3⋊C8C2×D311yescharacteristic, complemented
119C2×C3×C3⋊C8C2×D311yescharacteristic, complemented
120C3×#204—62no—
121#3724—62no—
122#3724—61no—
123#3724—61no—
124(C2×D3)⋊Dic3—62no—
125(C2×D3)⋊Dic3—61no—
126(C2×D3)⋊Dic3—61no—
127#3717—62no—
128#3716—22no—
129#3716—62no—
130#3715—62no—
131C22×C33C2×D411yescharacteristic
132C2×C3×C3⋊D3—22no—
133C2×C3×C3⋊D3—41no—
134C2×C3×C3⋊D3—41no—
135C2×C32×D3—21no—
136C2×C32×D3—21no—
137C2×C32×D3—22no—
138C2×C32×D3—41no—
139C2×C32×D3—41no—
140C2×C32×D3SD1612yescomplemented
141C3×D32—48no—
142C33×C4C2×D411yescharacteristic
143C33×C4C2×D411yescharacteristic
144C3⋊(C3⋊Dic3)—41no—
145C3×C3⋊Dic3—41no—
146C32×Dic3—21no—
147C22×C3×D4—91no—
148C2×D3×D4—31no—
149C22×D12—31no—
150C2×C3×SD16—91no—
151#946—91no—
152C2×#215—91no—
153C2×#214—31no—
154C2×#214—91no—
155#924—91no—
156#924—91no—
157#924—181no—
158C2×#204—31no—
159C2×#204—91no—
160C3×C22⋊C8—91no—
161#832—91no—
162#832—91no—
163#832—91no—
164#832—181no—
165#830—31no—
166#821—91no—
167#821—91no—
168#821—91no—
169#821—181no—
170(C2×D3)⋊C8—31no—
171C23×C32—31no—
172C23×C32—61no—
173C22×C3⋊D3—21no—
174C22×C3×D3—21no—
175C22×C3×D3—21no—
176C22×C3×D3—21no—
177C22×C3×D3—41no—
178C22×C3×D3—64no—
179C22×C3×D3—64no—
180C22×C3×D3—61no—
181C22×C3×D3—61no—
182C22×C3×D3—121no—
183C22×C3×D3—122no—
184C22×C3×D3—122no—
185C22×C3×D3—122no—
186C22×C3×D3—122no—
187C22×C3×D3D1211yescharacteristic
188C22×C3×D3#6711yescharacteristic
189C2×D32—24no—
190C2×D32—42no—
191C2×D32—42no—
192C32×D4—32no—
193C32×D4—61no—
194C2×C32×C4—21no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—31no—
198C2×C32×C4—41no—
199C2×C32×C4—61no—
200C2×C32×C4—61no—
201C2×C32×C4C22×D311yescharacteristic
202C2×C32×C4C22×D311yescharacteristic
203C2×C32×C4C22×D311yescharacteristic
204C2×C3⋊Dic3—21no—
205C2×C3⋊Dic3—61no—
206C2×C3⋊Dic3—62no—
207C2×C3⋊Dic3—61no—
208C2×C3⋊Dic3—61no—
209C2×C3⋊Dic3—121no—
210C2×C3⋊Dic3—121no—
211C2×C3⋊Dic3—122no—
212C4⋊(C3⋊D3)—21no—
213C4⋊(C3⋊D3)#6712yes—
214#634—21no—
215#634—21no—
216C3×#67—64no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—62no—
219C2×C3×Dic3—61no—
220C2×C3×Dic3—61no—
221C2×C3×Dic3D1211yescharacteristic
222C2×C3×Dic3#6711yescharacteristic
223C3×D12—21no—
224C3×D12—21no—
225C3×D12—22no—
226C3×D12—32no—
227C3×D12—32no—
228C3×D12—41no—
229C3×D12—62no—
230C3×D12—64no—
231C3×D12—61no—
232C3×D12—61no—
233C3×D12—121no—
234C3×D12#6712yes—
235C3×D12#6712yes—
236C3×C4×D3—21no—
237C3×C4×D3—21no—
238C3×C4×D3—21no—
239C3×C4×D3—21no—
240C3×C4×D3—41no—
241C3×C4×D3—41no—
242C3×Dic6—61no—
243C3×Dic6—61no—
244C3×Dic6—61no—
245C3×Dic6—61no—
246C3×Dic6—121no—
247C3×Dic6—121no—
248#626—24no—
249C32×C8—61no—
250C3⋊(C3⋊C8)—21no—
251C3×C3⋊C8—21no—
252C3×C3⋊C8—21no—
253C3×C3⋊C8—41no—
254C3×C3⋊C8—61no—
255C3×C3⋊C8—61no—
256C3×C3⋊C8—121no—
257#450—271noSylow
258C2×C33#12011yescharacteristic
259C2×C33C2×SD1611yescharacteristic
260C2×C33AGL(1,ℤ/8)11yescharacteristic
261C3×C3⋊D3—42no—
262C32×D3—22no—
263C32×D3—42no—
264C24×C3—181no—
265C23×D3—61no—
266C23×D3—61no—
267C2×C3×Q8—91no—
268C2×C3×D4—31no—
269C2×C3×D4—31no—
270C2×C3×D4—61no—
271C2×C3×D4—91no—
272C2×C3×D4—181no—
273C2×C3×D4—182no—
274C2×C3×D4—182no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—61no—
278C2×#67—61no—
279D3×D4—62no—
280D3×D4—62no—
281C2×D12—31no—
282C2×D12—31no—
283C2×D12—61no—
284C2×D12—62no—
285C2×D12—61no—
286C2×D12—62no—
287C2×D12D3211yescharacteristic
288C2×C4×D3D3211yescharacteristic
289C2×Dic6—31no—
290C2×Dic6—31no—
291C2×Dic6—61no—
292C3×SD16—182no—
293C2×C3×C8—31no—
294C2×C3×C8—31no—
295C2×C3×C8—61no—
296C2×C3×C8—91no—
297#217—181no—
298#217—181no—
299#217—182no—
300#215—182no—
301#214—62no—
302#214—182no—
303(C2×D3)⋊C4—181no—
304C4⋊Dic3—91no—
305C4⋊Dic3—91no—
306C4⋊Dic3—91no—
307C4⋊Dic3—181no—
308C4⋊Dic3—181no—
309C4⋊Dic3—181no—
310C4⋊Dic3—361no—
311Dic3⋊C4—181no—
312Dic3⋊C4—181no—
313Dic3⋊C4—182no—
314Dic3⋊C4—181no—
315C2×C3⋊C8—31no—
316C2×C3⋊C8—31no—
317C2×C3⋊C8—61no—
318C2×C3⋊C8D3211yescharacteristic, complemented
319#204—62no—
320#204—182no—
321C22×C32—21no—
322C22×C32—21no—
323C22×C32—21no—
324C22×C32—32no—
325C22×C32—41no—
326C22×C32—61no—
327C22×C32—61no—
328C22×C32—62no—
329C22×C32—121no—
330C22×C32—121no—
331C22×C32C2×D1211yescharacteristic
332C22×C32D3×D411yescharacteristic
333C22×C32C2×#6711yescharacteristic
334C2×C3⋊D3—22no—
335C2×C3⋊D3—41no—
336C2×C3⋊D3—41no—
337C2×C3×D3—21no—
338C2×C3×D3—21no—
339C2×C3×D3—21no—
340C2×C3×D3—21no—
341C2×C3×D3—22no—
342C2×C3×D3—22no—
343C2×C3×D3—22no—
344C2×C3×D3—41no—
345C2×C3×D3—41no—
346C2×C3×D3—42no—
347C2×C3×D3—41no—
348C2×C3×D3—41no—
349C2×C3×D3—41no—
350C2×C3×D3—41no—
351C2×C3×D3—62no—
352C2×C3×D3—62no—
353C2×C3×D3—81no—
354C2×C3×D3—81no—
355C2×C3×D3—122no—
356C2×C3×D3—128no—
357C2×C3×D3—128no—
358C2×C3×D3—121no—
359C2×C3×D3—121no—
360C2×C3×D3—121no—
361C2×C3×D3—121no—
362C2×C3×D3—241no—
363C2×C3×D3—241no—
364C2×C3×D3#20412yescomplemented
365C2×C3×D3#21412yescomplemented
366D32—48no—
367C32×C4—21no—
368C32×C4—21no—
369C32×C4—21no—
370C32×C4—21no—
371C32×C4—21no—
372C32×C4—21no—
373C32×C4—41no—
374C32×C4—41no—
375C32×C4—61no—
376C32×C4D3×D411yescharacteristic
377C32×C4D3×D411yescharacteristic
378C32×C4D3×D411yescharacteristic
379C32×C4C2×#6711yescharacteristic
380C32×C4C2×#6711yescharacteristic
381C32×C4C2×#6711yescharacteristic
382C3⋊Dic3—41no—
383C3⋊Dic3—121no—
384C3⋊Dic3—122no—
385C3⋊Dic3—121no—
386C3⋊Dic3—121no—
387C3⋊Dic3—241no—
388C3⋊Dic3—241no—
389C3⋊Dic3—242no—
390C3×Dic3—21no—
391C3×Dic3—21no—
392C3×Dic3—41no—
393C3×Dic3—122no—
394C3×Dic3—121no—
395C3×Dic3—121no—
396C22×D4—91no—
397C2×SD16—91no—
398C2×SD16—271no—
399C22⋊Q8—271no—
400#102—271no—
401#102—271no—
402C22⋊C8—91no—
403C33#45011yescharacteristic, complemented, Sylow
404C23×C3—31no—
405C23×C3—31no—
406C23×C3—61no—
407C23×C3—61no—
408C23×C3—61no—
409C23×C3—121no—
410C23×C3—184no—
411C23×C3—181no—
412C23×C3—362no—
413C23×C3—362no—
414C22×D3—21no—
415C22×D3—64no—
416C22×D3—64no—
417C22×D3—61no—
418C22×D3—61no—
419C22×D3—121no—
420C22×D3—122no—
421C22×D3—122no—
422C22×D3—122no—
423C22×D3—122no—
424C22×D3#62611yescharacteristic
425C3×Q8—181no—
426C3×Q8—181no—
427C3×D4—32no—
428C3×D4—32no—
429C3×D4—62no—
430C3×D4—61no—
431C3×D4—61no—
432C3×D4—92no—
433C3×D4—121no—
434C3×D4—184no—
435C3×D4—181no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—31no—
440C2×C3×C4—31no—
441C2×C3×C4—41no—
442C2×C3×C4—61no—
443C2×C3×C4—61no—
444C2×C3×C4—61no—
445C2×C3×C4—61no—
446C2×C3×C4—61no—
447C2×C3×C4—121no—
448C2×C3×C4—121no—
449C2×C3×C4—181no—
450C2×C3×C4C2×D3211yescharacteristic
451C2×C3×C4C2×D3211yescharacteristic
452C2×C3×C4C2×D3211yescharacteristic
453#67—64no—
454C2×Dic3—62no—
455C2×Dic3—61no—
456C2×Dic3—61no—
457C2×Dic3—182no—
458C2×Dic3—181no—
459C2×Dic3—181no—
460C2×Dic3—181no—
461C2×Dic3—361no—
462C2×Dic3—361no—
463C2×Dic3—362no—
464C2×Dic3#62611yescharacteristic
465D12—21no—
466D12—32no—
467D12—32no—
468D12—62no—
469D12—64no—
470D12—61no—
471D12—61no—
472D12—121no—
473D12#62512yes—
474C4×D3—21no—
475C4×D3—21no—
476Dic6—61no—
477Dic6—61no—
478Dic6—61no—
479Dic6—61no—
480Dic6—121no—
481Dic6—121no—
482C3×C8—61no—
483C3×C8—61no—
484C3×C8—121no—
485C3×C8—181no—
486C3⋊C8—21no—
487C3⋊C8—61no—
488C3⋊C8—61no—
489C3⋊C8—121no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—21no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—21no—
497C2×C32—21no—
498C2×C32—21no—
499C2×C32—41no—
500C2×C32—41no—
501C2×C32—41no—
502C2×C32—62no—
503C2×C32—122no—
504C2×C32#88211yescharacteristic
505C2×C32C2×#20411yescharacteristic
506C2×C32#90811yescharacteristic
507C2×C32D3×SD1611yescharacteristic
508C2×C32#91411yescharacteristic
509C2×C32#93211yescharacteristic
510C2×C32C2×#21411yescharacteristic
511C2×C32#93711yescharacteristic
512C2×C32#95311yescharacteristic
513C3⋊D3—42no—
514C3×D3—22no—
515C3×D3—22no—
516C3×D3—42no—
517C3×D3—42no—
518C3×D3—42no—
519C3×D3—82no—
520C3×D3—122no—
521C3×D3—122no—
522C3×D3—242no—
523C24—181no—
524C2×Q8—91no—
525C2×D4—31no—
526C2×D4—91no—
527C2×D4—181no—
528C2×D4—182no—
529C2×D4—182no—
530C22×C4—31no—
531SD16—182no—
532SD16—542no—
533C2×C8—31no—
534C2×C8—91no—
535C4⋊C4—271no—
536C4⋊C4—541no—
537C22⋊C4—541no—
538C22×C3—21no—
539C22×C3—21no—
540C22×C3—21no—
541C22×C3—32no—
542C22×C3—32no—
543C22×C3—41no—
544C22×C3—62no—
545C22×C3—61no—
546C22×C3—61no—
547C22×C3—61no—
548C22×C3—61no—
549C22×C3—62no—
550C22×C3—62no—
551C22×C3—121no—
552C22×C3—121no—
553C22×C3—122no—
554C22×C3—121no—
555C22×C3—121no—
556C22×C3—121no—
557C22×C3—121no—
558C22×C3—182no—
559C22×C3—241no—
560C22×C3—241no—
561C22×C3—368no—
562C22×C3—361no—
563C22×C3—361no—
564C22×C3D3×D1211yescharacteristic
565C22×C3C2×#62611yescharacteristic
566C22×C3D3×#6711yescharacteristic
567C2×D3—21no—
568C2×D3—21no—
569C2×D3—22no—
570C2×D3—41no—
571C2×D3—41no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—122no—
575C2×D3—128no—
576C2×D3—128no—
577C2×D3—121no—
578C2×D3—121no—
579C2×D3—121no—
580C2×D3—121no—
581C2×D3—241no—
582C2×D3—241no—
583C2×D3#371612yescomplemented
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—21no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4—21no—
590C3×C4—41no—
591C3×C4—41no—
592C3×C4—61no—
593C3×C4—61no—
594C3×C4—121no—
595C3×C4—361no—
596C3×C4#380211yescharacteristic
597C3×C4C2×#62511yescharacteristic
598C3×C4D3×#6711yescharacteristic
599C3×C4D3×#6711yescharacteristic
600C3×C4D3×#6711yescharacteristic
601C3×C4D3×#6711yescharacteristic
602Dic3—21no—
603Dic3—122no—
604Dic3—121no—
605Dic3—121no—
606Dic3—362no—
607Dic3—361no—
608Dic3—361no—
609Dic3—361no—
610Dic3—721no—
611Dic3—721no—
612Dic3—722no—
613C32—21no—
614C32—21no—
615C32—21no—
616C32—41no—
617C32#473111yescharacteristic, complemented
618C32#516911yescharacteristic, complemented
619C32#521811yescharacteristic, complemented
620C23—31no—
621C23—61no—
622C23—184no—
623C23—181no—
624C23—362no—
625C23—362no—
626Q8—181no—
627Q8—181no—
628D4—32no—
629D4—61no—
630D4—92no—
631D4—184no—
632D4—181no—
633C2×C4—31no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—181no—
637C2×C4—541no—
638C2×C4D3311yescharacteristic
639C8—61no—
640C8—181no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—21no—
644C2×C3—21no—
645C2×C3—21no—
646C2×C3—21no—
647C2×C3—21no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—41no—
651C2×C3—41no—
652C2×C3—41no—
653C2×C3—62no—
654C2×C3—62no—
655C2×C3—122no—
656C2×C3—122no—
657C2×C3—122no—
658C2×C3—242no—
659C2×C3—362no—
660C2×C3D3×#20411yescharacteristic
661C2×C3#6379411yescharacteristic
662C2×C3C2×#371611yescharacteristic
663C2×C3#6383011yescharacteristic
664C2×C3#6392211yescharacteristic
665C2×C3D3×#21411yescharacteristic
666C2×C3#6393411yescharacteristic
667C2×C3#6397611yescharacteristic
668C2×C3#6397711yescharacteristic
669D3—22no—
670D3—42no—
671D3—122no—
672D3—122no—
673D3—242no—
674C22—32no—
675C22—61no—
676C22—61no—
677C22—62no—
678C22—121no—
679C22—121no—
680C22—182no—
681C22—368no—
682C22—361no—
683C22—361no—
684C22D3×#62611yescharacteristic
685C4—61no—
686C4—361no—
687C4—1081no—
688C4D3×#62511yescharacteristic
689C4#8895311yescharacteristic
690C3—21no—
691C3—21no—
692C3—21no—
693C3—41no—
694C3#1059094211yescharacteristic, complemented
695C3#1059117211yescharacteristic, complemented
696C3#1059145811yescharacteristic, complemented
697C2—62no—
698C2—122no—
699C2—362no—
700C2D3×#371611yescharacteristic
701C2#1172286811yescharacteristic
702C2#1172294711yescharacteristic
subgroupG/H
centerC22D3×#626
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. #11723425C2semidirect
4. C2×C3×#3716C2semidirect
5. #11722034C2semidirect
6. #11722032C2semidirect
7. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
13. C2×C3×#634C22semidirect
19. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
20. C2×C3×C3⋊(C3⋊C8)C22semidirect
21. C2×C32×C3⋊C8C22semidirect
37. C2×#3716D3semidirect
49. (C2×D3)⋊(C3⋊C8)D3semidirect
80. C2×#634C2×D3semidirect
112. C2×C3⋊(C3⋊C8)C2×D3semidirect
118. C2×C3×C3⋊C8C2×D3semidirect
119. C2×C3×C3⋊C8C2×D3semidirect
140. C2×C32×D3SD16semidirect
318. C2×C3⋊C8D32semidirect
364. C2×C3×D3#204semidirect
365. C2×C3×D3#214semidirect
403. C33#450semidirect
583. C2×D3#3716semidirect
617. C32#4731semidirect
618. C32#5169semidirect
619. C32#5218semidirect
694. C3#10590942semidirect
695. C3#10591172semidirect
696. C3#10591458semidirect

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
#117234252
C2×C3×#37162
#117220342
#117220322
C3×(C2×D3)⋊(C3⋊C8)2
#105914583
#105911723
#105909423